diff options
author | Ruan HE <ruan.he@orange.com> | 2015-09-04 07:35:06 +0000 |
---|---|---|
committer | Gerrit Code Review <gerrit@172.30.200.206> | 2015-09-04 07:35:06 +0000 |
commit | ca6aa8198d2335f8c326c3dd4d26bf5899064214 (patch) | |
tree | 6274a2d971fc0cac0896efe8583927d0190e3d20 /moon-abe/pbc-0.5.14 | |
parent | 92fd2dbfb672d7b2b1cdfd5dd5cf89f7716b3e12 (diff) | |
parent | 3baeb11a8fbcfcdbc31976d421f17b85503b3ecd (diff) |
Merge "init attribute-based encryption"
Diffstat (limited to 'moon-abe/pbc-0.5.14')
172 files changed, 47891 insertions, 0 deletions
diff --git a/moon-abe/pbc-0.5.14/.gitignore b/moon-abe/pbc-0.5.14/.gitignore new file mode 100644 index 00000000..1ee795f6 --- /dev/null +++ b/moon-abe/pbc-0.5.14/.gitignore @@ -0,0 +1,58 @@ +*.o +*.lo +.deps/ +.libs/ +Makefile +Makefile.in +aclocal.m4 +autom4te.cache/ +.dirstamp +benchmark/benchmark +benchmark/ellnet +benchmark/timersa +config.guess +config.h +config.h.in +config.log +config.status +config.sub +configure +depcomp +example/Makefile +example/Makefile.in +example/bls +example/hess +example/joux +example/paterson +example/yuanli +example/zhangkim +example/zss +gen/Makefile +gen/Makefile.in +gen/gena1param +gen/genaparam +gen/gendparam +gen/geneparam +gen/genfparam +gen/gengparam +gen/hilbertpoly +gen/listfreeman +gen/listmnt +git_config_back +guru/*_test +install-sh +libpbc.la +libtool +ltmain.sh +missing +pbc/lex.yy.c +pbc/lex.yy.h +pbc/parser.tab.c +pbc/parser.tab.h +pbc/pbc +stamp-h1 +tags +compile +m4/ +*.exe +*.exe.stackdump diff --git a/moon-abe/pbc-0.5.14/COPYING b/moon-abe/pbc-0.5.14/COPYING new file mode 100644 index 00000000..65c5ca88 --- /dev/null +++ b/moon-abe/pbc-0.5.14/COPYING @@ -0,0 +1,165 @@ + GNU LESSER GENERAL PUBLIC LICENSE + Version 3, 29 June 2007 + + Copyright (C) 2007 Free Software Foundation, Inc. <http://fsf.org/> + Everyone is permitted to copy and distribute verbatim copies + of this license document, but changing it is not allowed. + + + This version of the GNU Lesser General Public License incorporates +the terms and conditions of version 3 of the GNU General Public +License, supplemented by the additional permissions listed below. + + 0. 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Combined Libraries. + + You may place library facilities that are a work based on the +Library side by side in a single library together with other library +facilities that are not Applications and are not covered by this +License, and convey such a combined library under terms of your +choice, if you do both of the following: + + a) Accompany the combined library with a copy of the same work based + on the Library, uncombined with any other library facilities, + conveyed under the terms of this License. + + b) Give prominent notice with the combined library that part of it + is a work based on the Library, and explaining where to find the + accompanying uncombined form of the same work. + + 6. Revised Versions of the GNU Lesser General Public License. + + The Free Software Foundation may publish revised and/or new versions +of the GNU Lesser General Public License from time to time. Such new +versions will be similar in spirit to the present version, but may +differ in detail to address new problems or concerns. + + Each version is given a distinguishing version number. If the +Library as you received it specifies that a certain numbered version +of the GNU Lesser General Public License "or any later version" +applies to it, you have the option of following the terms and +conditions either of that published version or of any later version +published by the Free Software Foundation. If the Library as you +received it does not specify a version number of the GNU Lesser +General Public License, you may choose any version of the GNU Lesser +General Public License ever published by the Free Software Foundation. + + If the Library as you received it specifies that a proxy can decide +whether future versions of the GNU Lesser General Public License shall +apply, that proxy's public statement of acceptance of any version is +permanent authorization for you to choose that version for the +Library. diff --git a/moon-abe/pbc-0.5.14/INSTALL b/moon-abe/pbc-0.5.14/INSTALL new file mode 100644 index 00000000..84180c78 --- /dev/null +++ b/moon-abe/pbc-0.5.14/INSTALL @@ -0,0 +1,15 @@ +INSTALLING THE PBC LIBRARY +========================== + +The PBC library needs the GMP library, which can be found at + + http://www.swox.com/gmp/ + +This build system has been tested and works on Linux and Mac OS X with a +fink installation. You may need to specify paths via LDFLAGS and +CPPFLAGS if libraries are located in places other than the default +assumed in configure.ac. See ./configure --help for more information. + +./configure +make +make install diff --git a/moon-abe/pbc-0.5.14/Makefile.am b/moon-abe/pbc-0.5.14/Makefile.am new file mode 100644 index 00000000..ee252596 --- /dev/null +++ b/moon-abe/pbc-0.5.14/Makefile.am @@ -0,0 +1,88 @@ +SUBDIRS = . example gen + +SO_VERSION = 1:0:0 + +ChangeLog : + git log > ChangeLog + +ACLOCAL_AMFLAGS = -I m4 +CLEANFILES = *~ +maintainer-clean-local: + -rm -rf Makefile.in depcomp ltmain.sh config.h.in configure compile config.guess config.sub \ + missing install-sh autom4te.cache aclocal.m4 tmp + +lib_LTLIBRARIES = libpbc.la + +# this should really be a versioned dir, i.e., $(includedir)/pbc-0.5.0 +library_includedir = $(includedir)/pbc +library_include_HEADERS = include/pbc_a1_param.h \ +include/pbc_a_param.h \ +include/pbc_curve.h \ +include/pbc_d_param.h \ +include/pbc_e_param.h \ +include/pbc_field.h \ +include/pbc_multiz.h \ +include/pbc_z.h \ +include/pbc_fieldquadratic.h \ +include/pbc_f_param.h \ +include/pbc_g_param.h \ +include/pbc_i_param.h \ +include/pbc_fp.h \ +include/pbc_ternary_extension_field.h \ +include/pbc.h \ +include/pbc_hilbert.h \ +include/pbc_memory.h \ +include/pbc_mnt.h \ +include/pbc_pairing.h \ +include/pbc_param.h \ +include/pbc_poly.h \ +include/pbc_random.h \ +include/pbc_singular.h \ +include/pbc_test.h \ +include/pbc_utils.h + +libpbc_la_CPPFLAGS = -Iinclude +libpbc_la_SOURCES = arith/field.c arith/z.c \ + arith/naivefp.c arith/fastfp.c \ + arith/fp.c arith/fasterfp.c arith/montfp.c \ + arith/ternary_extension_field.c \ + arith/multiz.c \ + arith/dlog.c \ + arith/fieldquadratic.c arith/poly.c \ + arith/random.c arith/init_random.c \ + misc/darray.c misc/symtab.c misc/get_time.c \ + misc/utils.c misc/memory.c misc/extend_printf.c \ + ecc/mpc.c ecc/mnt.c ecc/hilbert.c ecc/curve.c ecc/pairing.c \ + ecc/singular.c \ + ecc/eta_T_3.c \ + ecc/param.c ecc/a_param.c ecc/d_param.c ecc/e_param.c \ + ecc/f_param.c ecc/g_param.c +libpbc_la_LDFLAGS = -lgmp -lm -version-info $(SO_VERSION) $(PBC_LDFLAGS) $(LIBPBC_LDFLAGS) + +# LDADD is fallback of program_LDADD +# explicit "-lgmp" fixes error of "undefined reference to GMP symbol" +# explicit "-lm" fixes error of "undefined reference to libm symbol" +LDADD = libpbc.la -lgmp -lm +noinst_PROGRAMS = pbc/pbc benchmark/benchmark benchmark/timersa benchmark/ellnet +noinst_PROGRAMS += guru/fp_test guru/quadratic_test guru/poly_test guru/prodpairing_test +noinst_PROGRAMS += guru/ternary_extension_field_test guru/eta_T_3_test +pbc_pbc_CPPFLAGS = -I include +pbc_pbc_SOURCES = pbc/parser.tab.c pbc/lex.yy.c pbc/pbc.c pbc/pbc_getline.c misc/darray.c misc/symtab.c +benchmark_benchmark_CPPFLAGS = -I include +benchmark_benchmark_SOURCES = benchmark/benchmark.c +benchmark_timersa_CPPFLAGS = -I include +benchmark_timersa_SOURCES = benchmark/timersa.c +benchmark_ellnet_CPPFLAGS = -I include +benchmark_ellnet_SOURCES = benchmark/ellnet.c +guru_fp_test_CPPFLAGS = -I include +guru_fp_test_SOURCES = guru/fp_test.c +guru_quadratic_test_CPPFLAGS = -I include +guru_quadratic_test_SOURCES = guru/quadratic_test.c +guru_poly_test_CPPFLAGS = -I include +guru_poly_test_SOURCES = $(libpbc_la_SOURCES) guru/poly_test.c +guru_prodpairing_test_CPPFLAGS = -I include +guru_prodpairing_test_SOURCES = guru/prodpairing_test.c +guru_ternary_extension_field_test_CPPFLAGS = -I include +guru_ternary_extension_field_test_SOURCES = guru/ternary_extension_field_test.c +guru_eta_T_3_test_CPPFLAGS = -I include +guru_eta_T_3_test_SOURCES = guru/eta_T_3_test.c diff --git a/moon-abe/pbc-0.5.14/NEWS b/moon-abe/pbc-0.5.14/NEWS new file mode 100644 index 00000000..4c08dae8 --- /dev/null +++ b/moon-abe/pbc-0.5.14/NEWS @@ -0,0 +1,121 @@ +The PBC pairing-based cryptography library. See COPYING for license. + +Ben Lynn + +Changes between PBC version 0.5.14 and 0.5.13 + +* Eta pairing (type I), by Homer Hsing + +Changes between PBC version 0.5.13 and 0.5.12 + +* Many thanks to Homer Hsing for volunteering to maintain this library. +* Flattened nested functions. +* Bugfix for test script. + +Changes between PBC version 0.5.12 and 0.5.11 + +* Fixed a parsing bug reported by Michael Adjedj. + +Changes between PBC version 0.5.11 and 0.5.10 + +* Support native win32 compilation via autotools. Thanks to Michael Rushanan. + +Changes between PBC version 0.5.10 and 0.5.9 + +* pairing_init_pbc_param() fix thanks to Michael Adjedj. + +Changes between PBC version 0.5.9 and 0.5.8 + +* Bugfix thanks to Michael Adjedj. +* Reduce high exponents for exponentiations in finite groups. + +Changes between PBC version 0.5.8 and 0.5.7 + +* Changed the license to LGPL. + +Changes between PBC version 0.5.7 and 0.5.6 + +* Faster multi-pairing (product of pairings) for A, A1, and D pairings. + Contributed by Zhang Ye. +* New API functions element_pairing() and element_prod_pairing(). + +Changes between PBC version 0.5.6 and 0.5.5 + +* Projective coordinates for A1 pairings. Contributed by Zhang Ye. +* Bugfix for affine coordinates for A pairings. Contributed by Zhang Ye. +* Optionally suppress error messages. Based on code by Geremy Condra. + +Changes between PBC version 0.5.5 and 0.5.4 + +* Fixed bug reported by Zhang Ye: comparisons with the identity element in the + input groups was broken. +* Fixed bug reported by Mario Di Raimondo: comparisons in G2 for some pairing + types were broken. (Different representatives of the same coset are now + considered equal.) + +Changes between PBC version 0.5.4 and 0.5.3 + +* Accessors for coordinates of points and coefficients of polynomials. + +Changes between PBC version 0.5.3 and 0.5.2 + +* Revamped pairing-based calculator. + +Changes between PBC version 0.5.2 and 0.5.1 + +* Fixed pbc_param_set_str(). +* Add DLL to Windows release. + +Changes between PBC version 0.5.1 and 0.5.0 + +* Fixed pbc_param_t parsing bugs, and added error detection. +* Increased buffer size in pbc_demo_pairing_init() so the sample parameters + actually work. + +== New in PBC 0.5.0 == + +The largest changes involve pairing initialization and pairing parameters. + +For pairing initialization, supply a buffer containing pairing parameters +instead of a `FILE *` stream. For example, rather than: + + pairing_init_inp_str(pairing, stdin); + +write something like: + + char s[1024]; + size_t count = fread(s, 1, 1024, stdin); + if (!count) pbc_die("input error"); + if (pairing_init_set_buf(pairing, s, count)) pbc_die("pairing init failed"); + +For file reads, personally I like to use mmap() which suits +pairing_init_set_buf(). + +The `pbc_param_t` data type for pairing parameters replaces `a_param_t`, ..., +`g_param_t`. Having the same data type for all pairing parameter types +simplifies the library, though some functions had to be changed slightly. + +At last, one can initialize a `pairing_t` from a `pbc_param_t`: + + pairing_t p; + pbc_param_t par; + pbc_param_init_a_gen(par, 160, 512); + pairing_init_pbc_param(p, par); + pbc_param_clear(par); + +=== Minor differences === + +I trimmed the API. The file stream operations are gone. I removed the +fetch_ops_t and tracker_t types: the standard C library already provides +routines for reading from disk to memory. + +I refactored to avoid exposing `symtab_t` and `darray_t`, and undocumented +routines such as `poly_alloc()`. I mostly preserved the headers that define +these functions, but they are no longer included by `pbc.h`. + +I replaced the CMake files with `simple.make`, which I use during development, +though I test the autotools build before release. + +To reduce symbol pollution, all official functions and variables of the PBC +now start with `pbc_`, `field_`, `element_` or `pairing_`. Other names mostly +have hidden visibility in a shared library. Watch out for renamed functions. diff --git a/moon-abe/pbc-0.5.14/README b/moon-abe/pbc-0.5.14/README new file mode 100644 index 00000000..c55cac60 --- /dev/null +++ b/moon-abe/pbc-0.5.14/README @@ -0,0 +1,20 @@ +THE PBC LIBARY + +The PBC (Pairing-Based Crypto) library is a C library providing low-level +routines for pairing-based cryptosystems. It provides an interface for +cyclic groups and a bilinear pairing defined on them that are thought to +be cryptographically secure. The interface abstracts the mathematical details +away from the programmer, so no knowledge of elliptic curves is needed to use +the library. + +The PBC library also contains routines to generate curves suitable for use +in a bilinear pairing. + +See the online manual for more information. The DocBook source files that +are used to create the manual are in the doc/ subdirectory. + +The PBC library is released under the GNU General Public License. See the +file COPYING for details. + +------------------------------------------------------------------------------ +Ben Lynn <blynn@cs.stanford.edu> diff --git a/moon-abe/pbc-0.5.14/announce b/moon-abe/pbc-0.5.14/announce new file mode 100644 index 00000000..c13b2b95 --- /dev/null +++ b/moon-abe/pbc-0.5.14/announce @@ -0,0 +1,8 @@ +#!/bin/bash +VER=`grep AC_INIT configure.ac | sed 's/.*\[\([0-9]*\.[0-9]*\.[0-9]*\)\].*/\1/'` +echo PBC $VER Released +echo 'The new release is available at + http://crypto.stanford.edu/pbc/ +' +sed -n '/^Changes between PBC version '$VER'/,/^Changes/p' < NEWS | sed '$c \ +-Ben' diff --git a/moon-abe/pbc-0.5.14/arith/dlog.c b/moon-abe/pbc-0.5.14/arith/dlog.c new file mode 100644 index 00000000..f77df1b7 --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/dlog.c @@ -0,0 +1,187 @@ +// Brute force and Pollard rho discrete log algorithms. + +#include <stdarg.h> +#include <stdint.h> // for intptr_t +#include <stdio.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_memory.h" +#include "misc/darray.h" + +struct snapshot_s { + element_t a; + element_t b; + element_t snark; +}; +typedef struct snapshot_s *snapshot_ptr; + +static void record(element_t asum, element_t bsum, element_t snark, + darray_t hole, mpz_t counter) { + snapshot_ptr ss = pbc_malloc(sizeof(struct snapshot_s)); + element_init_same_as(ss->a, asum); + element_init_same_as(ss->b, bsum); + element_init_same_as(ss->snark, snark); + element_set(ss->a, asum); + element_set(ss->b, bsum); + element_set(ss->snark, snark); + darray_append(hole, ss); + element_printf("snark %Zd: %B\n", counter, snark); +} + +// g, h in some group of order r +// finds x such that g^x = h +// will hang if no such x exists +// x in some field_t that set_mpz makes sense for +void element_dlog_brute_force(element_t x, element_t g, element_t h) { + element_t g0; + mpz_t count; + + mpz_init(count); + element_init_same_as(g0, g); + + element_set(g0, g); + mpz_set_ui(count, 1); + while (element_cmp(g0, h)) { + element_mul(g0, g0, g); +//element_printf("g0^%Zd = %B\n", count, g0); + mpz_add_ui(count, count, 1); + } + element_set_mpz(x, count); + mpz_clear(count); + element_clear(g0); +} + +// x in Z_r, g, h in some group of order r +// finds x such that g^x = h +void element_dlog_pollard_rho(element_t x, element_t g, element_t h) { +// see Blake, Seroussi and Smart +// only one snark for this implementation + int i, s = 20; + field_ptr Zr = x->field, G = g->field; + element_t asum; + element_t bsum; + element_t a[s]; + element_t b[s]; + element_t m[s]; + element_t g0, snark; + darray_t hole; + int interval = 5; + mpz_t counter; + int found = 0; + + mpz_init(counter); + element_init(g0, G); + element_init(snark, G); + element_init(asum, Zr); + element_init(bsum, Zr); + darray_init(hole); + //set up multipliers + for (i = 0; i < s; i++) { + element_init(a[i], Zr); + element_init(b[i], Zr); + element_init(m[i], G); + element_random(a[i]); + element_random(b[i]); + element_pow_zn(g0, g, a[i]); + element_pow_zn(m[i], h, b[i]); + element_mul(m[i], m[i], g0); + } + + element_random(asum); + element_random(bsum); + element_pow_zn(g0, g, asum); + element_pow_zn(snark, h, bsum); + element_mul(snark, snark, g0); + + record(asum, bsum, snark, hole, counter); + for (;;) { + int len = element_length_in_bytes(snark); + unsigned char *buf = pbc_malloc(len); + unsigned char hash = 0; + + element_to_bytes(buf, snark); + for (i = 0; i < len; i++) { + hash += buf[i]; + } + i = hash % s; + pbc_free(buf); + + element_mul(snark, snark, m[i]); + element_add(asum, asum, a[i]); + element_add(bsum, bsum, b[i]); + + for (i = 0; i < hole->count; i++) { + snapshot_ptr ss = hole->item[i]; + if (!element_cmp(snark, ss->snark)) { + element_sub(bsum, bsum, ss->b); + element_sub(asum, ss->a, asum); + //answer is x such that x * bsum = asum + //complications arise if gcd(bsum, r) > 1 + //which can happen if r is not prime + if (!mpz_probab_prime_p(Zr->order, 10)) { + mpz_t za, zb, zd, zm; + + mpz_init(za); + mpz_init(zb); + mpz_init(zd); + mpz_init(zm); + + element_to_mpz(za, asum); + element_to_mpz(zb, bsum); + mpz_gcd(zd, zb, Zr->order); + mpz_divexact(zm, Zr->order, zd); + mpz_divexact(zb, zb, zd); + //if zd does not divide za there is no solution + mpz_divexact(za, za, zd); + mpz_invert(zb, zb, zm); + mpz_mul(zb, za, zb); + mpz_mod(zb, zb, zm); + do { + element_pow_mpz(g0, g, zb); + if (!element_cmp(g0, h)) { + element_set_mpz(x, zb); + break; + } + mpz_add(zb, zb, zm); + mpz_sub_ui(zd, zd, 1); + } while (mpz_sgn(zd)); + mpz_clear(zm); + mpz_clear(za); + mpz_clear(zb); + mpz_clear(zd); + } else { + element_div(x, asum, bsum); + } + found = 1; + break; + } + } + if (found) break; + + mpz_add_ui(counter, counter, 1); + if (mpz_tstbit(counter, interval)) { + record(asum, bsum, snark, hole, counter); + interval++; + } + } + + for (i = 0; i < s; i++) { + element_clear(a[i]); + element_clear(b[i]); + element_clear(m[i]); + } + element_clear(g0); + element_clear(snark); + for (i = 0; i < hole->count; i++) { + snapshot_ptr ss = hole->item[i]; + element_clear(ss->a); + element_clear(ss->b); + element_clear(ss->snark); + pbc_free(ss); + } + darray_clear(hole); + element_clear(asum); + element_clear(bsum); + mpz_clear(counter); +} diff --git a/moon-abe/pbc-0.5.14/arith/fasterfp.c b/moon-abe/pbc-0.5.14/arith/fasterfp.c new file mode 100644 index 00000000..5ce8243a --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/fasterfp.c @@ -0,0 +1,546 @@ +// Naive implementation of F_p. +// It uses lowlevel GMP routines (mpn_* functions) like fastfp.c, but also +// has a flag for the value 0, avoiding many memsets. +// +// I'm thinking of using the flag to also represent 1, -1, +// but that complicates the logic even more, and I believe I need more +// control than GMP is willing to give in order to avoid expensive +// checks for 1, -1 everywhere. +// +// NOTE: does not work for moduli of the form: +// 2^(something * 8 * sizeof(mp_limb_t)) +// See comments in add, double code. +// (This kind of integer mod ring deserves its own implementation anyway.) + +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <string.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_random.h" +#include "pbc_fp.h" +#include "pbc_memory.h" + +struct fp_field_data_s { + size_t limbs; + size_t bytes; + mp_limb_t *primelimbs; +}; +typedef struct fp_field_data_s fp_field_data_t[1]; +typedef struct fp_field_data_s *fp_field_data_ptr; + +struct data_s { + int flag; + mp_limb_t *d; +}; +typedef struct data_s *dataptr; + +static void fp_init(element_ptr e) { + fp_field_data_ptr p = e->field->data; + dataptr dp = e->data = pbc_malloc(sizeof(struct data_s)); + dp->flag = 0; + dp->d = pbc_malloc(p->bytes); +} + +static void fp_clear(element_ptr e) { + dataptr dp = e->data; + pbc_free(dp->d); + pbc_free(e->data); +} + +//assumes z is nonzero +static inline void from_mpz(element_ptr e, mpz_ptr z) { + fp_field_data_ptr p = e->field->data; + size_t count; + dataptr dp = e->data; + mpz_export(dp->d, &count, -1, sizeof(mp_limb_t), 0, 0, z); + memset((void *) (((unsigned char *) dp->d) + count * sizeof(mp_limb_t)), + 0, (p->limbs - count) * sizeof(mp_limb_t)); +} + +static void fp_set_mpz(element_ptr e, mpz_ptr z) { + dataptr dp = e->data; + if (!mpz_sgn(z)) { + dp->flag = 0; + } else { + mpz_t tmp; + mpz_init(tmp); + mpz_mod(tmp, z, e->field->order); + from_mpz(e, tmp); + mpz_clear(tmp); + dp->flag = 2; + } +} + +static void fp_set_si(element_ptr e, signed long int op) { + dataptr dp = e->data; + if (!op) { + dp->flag = 0; + } else { + const fp_field_data_ptr p = e->field->data; + const size_t t = p->limbs; + if (op < 0) { + mpn_sub_1(dp->d, p->primelimbs, t, -op); + } else { + dp->d[0] = op; + memset(&dp->d[1], 0, sizeof(mp_limb_t) * (t - 1)); + } + dp->flag = 2; + } +} + +static void fp_to_mpz(mpz_ptr z, element_ptr e) { + dataptr dp = e->data; + if (!dp->flag) { + mpz_set_ui(z, 0); + } else { + fp_field_data_ptr p = e->field->data; + mpz_import(z, p->limbs, -1, sizeof(mp_limb_t), 0, 0, dp->d); + } +} + +static void fp_set0(element_ptr e) { + dataptr dp = e->data; + dp->flag = 0; +} + +static void fp_set1(element_ptr e) { + fp_field_data_ptr p = e->field->data; + dataptr dp = e->data; + dp->flag = 2; + memset(&dp->d[1], 0, p->bytes - sizeof(mp_limb_t)); + dp->d[0] = 1; +} + +static int fp_is1(element_ptr e) { + dataptr dp = e->data; + if (!dp->flag) return 0; + else { + fp_field_data_ptr p = e->field->data; + size_t i, t = p->limbs; + if (dp->d[0] != 1) return 0; + for (i = 1; i < t; i++) if (dp->d[i]) return 0; + return 1; + } +} + +static int fp_is0(element_ptr e) { + dataptr dp = e->data; + return !dp->flag; +} + +static size_t fp_out_str(FILE * stream, int base, element_ptr e) { + size_t result; + mpz_t z; + mpz_init(z); + fp_to_mpz(z, e); + result = mpz_out_str(stream, base, z); + mpz_clear(z); + return result; +} + +static void fp_set(element_ptr c, element_ptr a) { + dataptr ad = a->data; + dataptr cd = c->data; + if (a == c) return; + if (!ad->flag) { + cd->flag = 0; + } else { + fp_field_data_ptr p = a->field->data; + + //Assembly is faster here, but I don't want to stoop to that level. + //Instead of calling slower memcpy, wrap stuff so that GMP assembly + //gets called. + /* + memcpy(cd->d, ad->d, p->bytes); + */ + mpz_t z1, z2; + z1->_mp_d = cd->d; + z2->_mp_d = ad->d; + z1->_mp_size = z1->_mp_alloc = z2->_mp_size = z2->_mp_alloc = p->limbs; + mpz_set(z1, z2); + + cd->flag = 2; + } +} + +static void fp_add(element_ptr c, element_ptr a, element_ptr b) { + dataptr ad = a->data, bd = b->data; + + if (!ad->flag) { + fp_set(c, b); + } else if (!bd->flag) { + fp_set(c, a); + } else { + dataptr cd = c->data; + fp_field_data_ptr p = a->field->data; + const size_t t = p->limbs; + mp_limb_t carry; + carry = mpn_add_n(cd->d, ad->d, bd->d, t); + + if (carry) { + //assumes result of following sub is not zero, + //i.e. modulus cannot be 2^(n * bits_per_limb) + mpn_sub_n(cd->d, cd->d, p->primelimbs, t); + cd->flag = 2; + } else { + int i = mpn_cmp(cd->d, p->primelimbs, t); + if (!i) { + cd->flag = 0; + } else { + cd->flag = 2; + if (i > 0) { + mpn_sub_n(cd->d, cd->d, p->primelimbs, t); + } + } + } + } +} + +static void fp_double(element_ptr c, element_ptr a) { + dataptr ad = a->data, cd = c->data; + if (!ad->flag) { + cd->flag = 0; + } else { + fp_field_data_ptr p = c->field->data; + const size_t t = p->limbs; + if (mpn_lshift(cd->d, ad->d, t, 1)) { + cd->flag = 2; + //again, assumes result is not zero: + mpn_sub_n(cd->d, cd->d, p->primelimbs, t); + } else { + int i = mpn_cmp(cd->d, p->primelimbs, t); + if (!i) { + cd->flag = 0; + } else { + cd->flag = 2; + if (i > 0) { + mpn_sub_n(cd->d, cd->d, p->primelimbs, t); + } + } + } + } +} + +static void fp_halve(element_ptr c, element_ptr a) { + dataptr ad = a->data, cd = c->data; + if (!ad->flag) { + cd->flag = 0; + } else { + fp_field_data_ptr p = c->field->data; + const size_t t = p->limbs; + int carry = 0; + mp_limb_t *alimb = ad->d; + mp_limb_t *climb = cd->d; + if (alimb[0] & 1) { + carry = mpn_add_n(climb, alimb, p->primelimbs, t); + } else fp_set(c, a); + + mpn_rshift(climb, climb, t, 1); + if (carry) climb[t - 1] |= ((mp_limb_t) 1) << (sizeof(mp_limb_t) * 8 - 1); + } +} + +static void fp_neg(element_ptr c, element_ptr a) { + dataptr ad = a->data, cd = c->data; + if (!ad->flag) cd->flag = 0; + else { + fp_field_data_ptr p = a->field->data; + mpn_sub_n(cd->d, p->primelimbs, ad->d, p->limbs); + cd->flag = 2; + } +} + +static void fp_sub(element_ptr c, element_ptr a, element_ptr b) { + dataptr ad = a->data, bd = b->data; + + if (!ad->flag) { + fp_neg(c, b); + } else if (!bd->flag) { + fp_set(c, a); + } else { + fp_field_data_ptr p = c->field->data; + size_t t = p->limbs; + dataptr cd = c->data; + int i = mpn_cmp(ad->d, bd->d, t); + + if (i == 0) { + cd->flag = 0; + } else { + cd->flag = 2; + mpn_sub_n(cd->d, ad->d, bd->d, t); + if (i < 0) { + mpn_add_n(cd->d, cd->d, p->primelimbs, t); + } + } + } +} + +static void fp_mul(element_ptr c, element_ptr a, element_ptr b) { + dataptr ad = a->data, bd = b->data; + dataptr cd = c->data; + + if (!ad->flag || !bd->flag) { + cd->flag = 0; + } else { + fp_field_data_ptr p = c->field->data; + size_t t = p->limbs; + //mp_limb_t tmp[3 * t + 1]; + //mp_limb_t *qp = &tmp[2 * t]; + mp_limb_t tmp[2 * t]; + mp_limb_t qp[t + 1]; + //static mp_limb_t tmp[2 * 100]; + //static mp_limb_t qp[100 + 1]; + + mpn_mul_n(tmp, ad->d, bd->d, t); + + mpn_tdiv_qr(qp, cd->d, 0, tmp, 2 * t, p->primelimbs, t); + cd->flag = 2; + } +} + +static void fp_square(element_ptr c, element_ptr a) { + const fp_field_data_ptr p = c->field->data; + mpz_t z1, z2; + size_t diff; + dataptr ad = a->data; + dataptr cd = c->data; + + if (!ad->flag) { + cd->flag = 0; + } else { + cd->flag = 2; + z1->_mp_d = cd->d; + z1->_mp_size = z1->_mp_alloc = p->limbs; + if (c == a) { + mpz_powm_ui(z1, z1, 2, c->field->order); + } else { + z2->_mp_d = ad->d; + z2->_mp_size = z2->_mp_alloc = p->limbs; + mpz_powm_ui(z1, z2, 2, c->field->order); + } + + diff = p->limbs - z1->_mp_size; + if (diff) memset(&z1->_mp_d[z1->_mp_size], 0, diff * sizeof(mp_limb_t)); + + //mpn_sqr_n() might make the code below faster than the code above + //but GMP doesn't expose this function + /* + const fp_field_data_ptr p = c->field->data; + const size_t t = p->limbs; + mp_limb_t tmp[2 * t]; + mp_limb_t qp[t + 1]; + + mpn_mul_n(tmp, ad->d, ad->d, t); + + mpn_tdiv_qr(qp, cd->d, 0, tmp, 2 * t, p->primelimbs, t); + */ + } +} + +static void fp_mul_si(element_ptr c, element_ptr a, signed long int op) { + dataptr ad = a->data; + dataptr cd = c->data; + + if (!ad->flag || !op) { + cd->flag = 0; + } else { + cd->flag = 2; + fp_field_data_ptr p = a->field->data; + size_t t = p->limbs; + mp_limb_t tmp[t + 1]; + mp_limb_t qp[2]; + + tmp[t] = mpn_mul_1(tmp, ad->d, t, labs(op)); + mpn_tdiv_qr(qp, cd->d, 0, tmp, t + 1, p->primelimbs, t); + if (op < 0) { //TODO: don't need to check c != 0 this time + fp_neg(c, c); + } + } +} + +static void fp_pow_mpz(element_ptr c, element_ptr a, mpz_ptr op) { + dataptr ad = a->data; + dataptr cd = c->data; + if (!ad->flag) cd->flag = 0; + else { + mpz_t z; + mpz_init(z); + fp_to_mpz(z, a); + mpz_powm(z, z, op, a->field->order); + from_mpz(c, z); + mpz_clear(z); + cd->flag = 2; + } +} + +static void fp_invert(element_ptr c, element_ptr a) { + //assumes a is invertible + dataptr cd = c->data; + mpz_t z; + mpz_init(z); + fp_to_mpz(z, a); + mpz_invert(z, z, a->field->order); + from_mpz(c, z); + mpz_clear(z); + cd->flag = 2; +} + +static void fp_random(element_ptr a) { + dataptr ad = a->data; + mpz_t z; + mpz_init(z); + pbc_mpz_random(z, a->field->order); + if (mpz_sgn(z)) { + from_mpz(a, z); + ad->flag = 2; + } else { + ad->flag = 0; + } + mpz_clear(z); +} + +static void fp_from_hash(element_ptr a, void *data, int len) { + mpz_t z; + + mpz_init(z); + pbc_mpz_from_hash(z, a->field->order, data, len); + fp_set_mpz(a, z); + mpz_clear(z); +} + +static int fp_cmp(element_ptr a, element_ptr b) { + dataptr ad = a->data, bd = b->data; + if (!ad->flag) { + return bd->flag; + } else { + fp_field_data_ptr p = a->field->data; + return mpn_cmp(ad->d, bd->d, p->limbs); + //return memcmp(ad->d, bd->d, p->limbs); + } +} + +static int fp_sgn_odd(element_ptr a) { + dataptr ad = a->data; + if (!ad->flag) return 0; + return ad->d[0] & 1 ? 1 : -1; +} + +static int fp_sgn_even(element_ptr a) { + fp_field_data_ptr p = a->field->data; + dataptr ad = a->data; + if (!ad->flag) return 0; + mp_limb_t sum[p->limbs]; + + int carry = mpn_add_n(sum, ad->d, ad->d, p->limbs); + if (carry) return 1; + return mpn_cmp(sum, p->primelimbs, p->limbs); +} + + +static int fp_is_sqr(element_ptr a) { + dataptr ad = a->data; + int res; + mpz_t z; + mpz_init(z); + //0 is a square + if (!ad->flag) return 1; + fp_to_mpz(z, a); + res = mpz_legendre(z, a->field->order) == 1; + mpz_clear(z); + return res; +} + +static int fp_to_bytes(unsigned char *data, element_t a) { + dataptr ad = a->data; + int n = a->field->fixed_length_in_bytes; + if (!ad->flag) { + memset(data, 0, n); + } else { + mpz_t z; + + mpz_init(z); + fp_to_mpz(z, a); + pbc_mpz_out_raw_n(data, n, z); + mpz_clear(z); + } + return n; +} + +static int fp_from_bytes(element_t a, unsigned char *data) { + dataptr ad = a->data; + int n; + mpz_t z; + + mpz_init(z); + + n = a->field->fixed_length_in_bytes; + mpz_import(z, n, 1, 1, 1, 0, data); + if (!mpz_sgn(z)) ad->flag = 0; + else { + ad->flag = 2; + from_mpz(a, z); + } + mpz_clear(z); + return n; +} + +static void fp_out_info(FILE* str, field_ptr f) { + element_fprintf(str, "GF(%Zd): zero flag + mpn", f->order); +} + +static void fp_field_clear(field_t f) { + fp_field_data_ptr p = f->data; + pbc_free(p->primelimbs); + pbc_free(p); +} + +void field_init_faster_fp(field_ptr f, mpz_t prime) { + PBC_ASSERT(!mpz_fits_ulong_p(prime), "modulus too small"); + fp_field_data_ptr p; + field_init(f); + f->init = fp_init; + f->clear = fp_clear; + f->set_si = fp_set_si; + f->set_mpz = fp_set_mpz; + f->out_str = fp_out_str; + f->add = fp_add; + f->sub = fp_sub; + f->set = fp_set; + f->mul = fp_mul; + f->mul_si = fp_mul_si; + f->square = fp_square; + f->doub = fp_double; + f->halve = fp_halve; + f->pow_mpz = fp_pow_mpz; + f->neg = fp_neg; + f->cmp = fp_cmp; + f->sign = mpz_odd_p(prime) ? fp_sgn_odd : fp_sgn_even; + f->invert = fp_invert; + f->random = fp_random; + f->from_hash = fp_from_hash; + f->is1 = fp_is1; + f->is0 = fp_is0; + f->set0 = fp_set0; + f->set1 = fp_set1; + f->is_sqr = fp_is_sqr; + f->sqrt = element_tonelli; + f->field_clear = fp_field_clear; + f->to_bytes = fp_to_bytes; + f->from_bytes = fp_from_bytes; + f->to_mpz = fp_to_mpz; + + f->out_info = fp_out_info; + + p = f->data = pbc_malloc(sizeof(fp_field_data_t)); + p->limbs = mpz_size(prime); + p->bytes = p->limbs * sizeof(mp_limb_t); + p->primelimbs = pbc_malloc(p->bytes); + mpz_export(p->primelimbs, &p->limbs, -1, sizeof(mp_limb_t), 0, 0, prime); + + mpz_set(f->order, prime); + f->fixed_length_in_bytes = (mpz_sizeinbase(prime, 2) + 7) / 8; +} diff --git a/moon-abe/pbc-0.5.14/arith/fastfp.c b/moon-abe/pbc-0.5.14/arith/fastfp.c new file mode 100644 index 00000000..13c6fb87 --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/fastfp.c @@ -0,0 +1,382 @@ +// Naive implementation of F_p. +// Uses lowlevel GMP routines (mpn_* functions). +// +// Within an element_t, ''data'' field of element holds pointer to array of +// mp_limb_t, which is allocated on init and freed on clear. +// Its size is fixed and determined by the number of limbs in the modulus. +// This simplifies code but is inefficient for storing values like 0 and 1. + +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <string.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_random.h" +#include "pbc_fp.h" +#include "pbc_memory.h" + +struct fp_field_data_s { + size_t limbs; + size_t bytes; + mp_limb_t *primelimbs; +}; +typedef struct fp_field_data_s fp_field_data_t[1]; +typedef struct fp_field_data_s *fp_field_data_ptr; + +static void fp_init(element_ptr e) { + fp_field_data_ptr p = e->field->data; + e->data = pbc_malloc(p->bytes); + memset(e->data, 0, p->bytes); + // e->data = pbc_calloc(sizeof(mp_limb_t), p->limbs); +} + +static void fp_clear(element_ptr e) { + pbc_free(e->data); +} + +static inline void from_mpz(element_ptr e, mpz_ptr z) { + fp_field_data_ptr p = e->field->data; + size_t count; + mpz_export(e->data, &count, -1, sizeof(mp_limb_t), 0, 0, z); + memset((void *) (((unsigned char *) e->data) + count * sizeof(mp_limb_t)), 0, + (p->limbs - count) * sizeof(mp_limb_t)); +} + +static void fp_set_mpz(element_ptr e, mpz_ptr z) { + mpz_t tmp; + mpz_init(tmp); + mpz_mod(tmp, z, e->field->order); + from_mpz(e, tmp); + mpz_clear(tmp); +} + +static void fp_set_si(element_ptr e, signed long int op) { + const fp_field_data_ptr p = e->field->data; + const size_t t = p->limbs; + mp_limb_t *d = e->data; + if (op < 0) { + mpn_sub_1(d, p->primelimbs, t, -op); + } else { + d[0] = op; + memset(&d[1], 0, sizeof(mp_limb_t) * (t - 1)); + } +} + +static void fp_to_mpz(mpz_ptr z, element_ptr a) { + fp_field_data_ptr p = a->field->data; + mpz_import(z, p->limbs, -1, sizeof(mp_limb_t), 0, 0, a->data); +} + +static void fp_set0(element_ptr e) { + fp_field_data_ptr p = e->field->data; + memset(e->data, 0, p->bytes); +} + +static void fp_set1(element_ptr e) { + fp_field_data_ptr p = e->field->data; + mp_limb_t *d = e->data; + memset(&d[1], 0, p->bytes - sizeof(mp_limb_t)); + d[0] = 1; +} + +static int fp_is1(element_ptr e) { + fp_field_data_ptr p = e->field->data; + size_t i, t = p->limbs; + mp_limb_t *d = e->data; + if (d[0] != 1) return 0; + for (i = 1; i < t; i++) if (d[i]) return 0; + return 1; +} + +static int fp_is0(element_ptr e) { + fp_field_data_ptr p = e->field->data; + size_t i, t = p->limbs; + mp_limb_t *d = e->data; + for (i = 0; i < t; i++) if (d[i]) return 0; + return 1; +} + +static size_t fp_out_str(FILE * stream, int base, element_ptr e) { + size_t result; + mpz_t z; + mpz_init(z); + fp_to_mpz(z, e); + result = mpz_out_str(stream, base, z); + mpz_clear(z); + return result; +} + +static void fp_add(element_ptr r, element_ptr a, element_ptr b) { + fp_field_data_ptr p = r->field->data; + const size_t t = p->limbs; + mp_limb_t carry; + carry = mpn_add_n(r->data, a->data, b->data, t); + + if (carry || mpn_cmp(r->data, p->primelimbs, t) >= 0) { + mpn_sub_n(r->data, r->data, p->primelimbs, t); + } +} + +static void fp_double(element_ptr r, element_ptr a) { + fp_field_data_ptr p = r->field->data; + const size_t t = p->limbs; + if (mpn_lshift(r->data, a->data, t, 1) + || mpn_cmp(r->data, p->primelimbs, t) >= 0) { + mpn_sub_n(r->data, r->data, p->primelimbs, t); + } +} + +static void fp_set(element_ptr c, element_ptr a) { + fp_field_data_ptr p = a->field->data; + if (c == a) return; + + // Assembly is faster here, but I don't want to stoop to that level. + // Instead of calling slower memcpy, wrap stuff so that GMP assembly + // gets called. + /* + memcpy(c->data, a->data, p->bytes); + */ + mpz_t z1, z2; + z1->_mp_d = c->data; + z2->_mp_d = a->data; + z1->_mp_size = z1->_mp_alloc = z2->_mp_size = z2->_mp_alloc = p->limbs; + mpz_set(z1, z2); +} + +static void fp_halve(element_ptr r, element_ptr a) { + fp_field_data_ptr p = r->field->data; + const size_t t = p->limbs; + int carry = 0; + mp_limb_t *alimb = a->data; + mp_limb_t *rlimb = r->data; + if (alimb[0] & 1) carry = mpn_add_n(rlimb, alimb, p->primelimbs, t); + else fp_set(r, a); + + mpn_rshift(rlimb, rlimb, t, 1); + if (carry) rlimb[t - 1] |= ((mp_limb_t) 1) << (sizeof(mp_limb_t) * 8 - 1); +} + +static void fp_sub(element_ptr r, element_ptr a, element_ptr b) { + fp_field_data_ptr p = r->field->data; + size_t t = p->limbs; + if (mpn_sub_n(r->data, a->data, b->data, t)) { + mpn_add_n(r->data, r->data, p->primelimbs, t); + } +} + +static void fp_mul(element_ptr c, element_ptr a, element_ptr b) { + fp_field_data_ptr p = c->field->data; + size_t t = p->limbs; + //mp_limb_t tmp[3 * t + 1]; + //mp_limb_t *qp = &tmp[2 * t]; + mp_limb_t tmp[2 * t]; + mp_limb_t qp[t + 1]; + //static mp_limb_t tmp[2 * 100]; + //static mp_limb_t qp[100 + 1]; + + mpn_mul_n(tmp, a->data, b->data, t); + + mpn_tdiv_qr(qp, c->data, 0, tmp, 2 * t, p->primelimbs, t); +} + +static void fp_square(element_ptr c, element_ptr a) { + const fp_field_data_ptr r = c->field->data; + mpz_t z1, z2; + size_t diff; + + z1->_mp_d = c->data; + z1->_mp_size = z1->_mp_alloc = r->limbs; + if (c == a) { + mpz_powm_ui(z1, z1, 2, c->field->order); + } else { + z2->_mp_d = a->data; + z2->_mp_size = z2->_mp_alloc = r->limbs; + mpz_powm_ui(z1, z2, 2, c->field->order); + } + + diff = r->limbs - z1->_mp_size; + if (diff) memset(&z1->_mp_d[z1->_mp_size], 0, diff * sizeof(mp_limb_t)); + + //mpn_sqr_n() might make the code below faster than the code above + //but GMP doesn't expose this function + /* + const fp_field_data_ptr r = c->field->data; + const size_t t = r->limbs; + mp_limb_t tmp[2 * t]; + mp_limb_t qp[t + 1]; + + mpn_mul_n(tmp, a->data, a->data, t); + + mpn_tdiv_qr(qp, c->data, 0, tmp, 2 * t, r->primelimbs, t); + */ +} + +static void fp_neg(element_ptr n, element_ptr a) { + if (fp_is0(a)) { + fp_set0(n); + } else { + fp_field_data_ptr p = a->field->data; + mpn_sub_n(n->data, p->primelimbs, a->data, p->limbs); + } +} + +static void fp_mul_si(element_ptr e, element_ptr a, signed long int op) { + fp_field_data_ptr p = e->field->data; + size_t t = p->limbs; + mp_limb_t tmp[t + 1]; + mp_limb_t qp[2]; + + tmp[t] = mpn_mul_1(tmp, a->data, t, labs(op)); + mpn_tdiv_qr(qp, e->data, 0, tmp, t + 1, p->primelimbs, t); + if (op < 0) { + fp_neg(e, e); + } +} + +static void fp_pow_mpz(element_ptr c, element_ptr a, mpz_ptr op) { + mpz_t z; + mpz_init(z); + fp_to_mpz(z, a); + mpz_powm(z, z, op, c->field->order); + from_mpz(c, z); + mpz_clear(z); +} + +static void fp_invert(element_ptr e, element_ptr a) { + mpz_t z; + mpz_init(z); + fp_to_mpz(z, a); + mpz_invert(z, z, e->field->order); + from_mpz(e, z); + mpz_clear(z); +} + +static void fp_random(element_ptr a) { + mpz_t z; + mpz_init(z); + pbc_mpz_random(z, a->field->order); + from_mpz(a, z); + mpz_clear(z); +} + +static void fp_from_hash(element_ptr a, void *data, int len) { + mpz_t z; + + mpz_init(z); + pbc_mpz_from_hash(z, a->field->order, data, len); + fp_set_mpz(a, z); + mpz_clear(z); +} + +static int fp_cmp(element_ptr a, element_ptr b) { + fp_field_data_ptr p = a->field->data; + return mpn_cmp(a->data, b->data, p->limbs); + //return memcmp(a->data, b->data, p->limbs); +} + +static int fp_sgn_odd(element_ptr a) { + if (fp_is0(a)) return 0; + mp_limb_t *lp = a->data; + return lp[0] & 1 ? 1 : -1; +} + +static int fp_sgn_even(element_ptr a) { + fp_field_data_ptr p = a->field->data; + if (fp_is0(a)) return 0; + mp_limb_t sum[p->limbs]; + + int carry = mpn_add_n(sum, a->data, a->data, p->limbs); + if (carry) return 1; + return mpn_cmp(sum, p->primelimbs, p->limbs); +} + +static int fp_is_sqr(element_ptr a) { + int res; + mpz_t z; + mpz_init(z); + //0 is a square + if (fp_is0(a)) return 1; + fp_to_mpz(z, a); + res = mpz_legendre(z, a->field->order) == 1; + mpz_clear(z); + return res; +} + +static int fp_to_bytes(unsigned char *data, element_t e) { + mpz_t z; + int n; + + mpz_init(z); + fp_to_mpz(z, e); + n = e->field->fixed_length_in_bytes; + pbc_mpz_out_raw_n(data, n, z); + mpz_clear(z); + return n; +} + +static int fp_from_bytes(element_t e, unsigned char *data) { + int n; + mpz_t z; + + mpz_init(z); + + n = e->field->fixed_length_in_bytes; + mpz_import(z, n, 1, 1, 1, 0, data); + fp_set_mpz(e, z); + mpz_clear(z); + return n; +} + +static void fp_field_clear(field_t f) { + fp_field_data_ptr p = f->data; + pbc_free(p->primelimbs); + pbc_free(p); +} + +void field_init_fast_fp(field_ptr f, mpz_t prime) { + PBC_ASSERT(!mpz_fits_ulong_p(prime), "modulus too small"); + fp_field_data_ptr p; + field_init(f); + f->init = fp_init; + f->clear = fp_clear; + f->set_si = fp_set_si; + f->set_mpz = fp_set_mpz; + f->out_str = fp_out_str; + f->add = fp_add; + f->sub = fp_sub; + f->set = fp_set; + f->mul = fp_mul; + f->mul_si = fp_mul_si; + f->square = fp_square; + f->doub = fp_double; + f->halve = fp_halve; + f->pow_mpz = fp_pow_mpz; + f->neg = fp_neg; + f->cmp = fp_cmp; + f->sign = mpz_odd_p(prime) ? fp_sgn_odd : fp_sgn_even; + f->invert = fp_invert; + f->random = fp_random; + f->from_hash = fp_from_hash; + f->is1 = fp_is1; + f->is0 = fp_is0; + f->set0 = fp_set0; + f->set1 = fp_set1; + f->is_sqr = fp_is_sqr; + f->sqrt = element_tonelli; + f->field_clear = fp_field_clear; + f->to_bytes = fp_to_bytes; + f->from_bytes = fp_from_bytes; + f->to_mpz = fp_to_mpz; + + p = f->data = pbc_malloc(sizeof(fp_field_data_t)); + p->limbs = mpz_size(prime); + p->bytes = p->limbs * sizeof(mp_limb_t); + p->primelimbs = pbc_malloc(p->bytes); + mpz_export(p->primelimbs, &p->limbs, -1, sizeof(mp_limb_t), 0, 0, prime); + + mpz_set(f->order, prime); + f->fixed_length_in_bytes = (mpz_sizeinbase(prime, 2) + 7) / 8; +} diff --git a/moon-abe/pbc-0.5.14/arith/field.c b/moon-abe/pbc-0.5.14/arith/field.c new file mode 100644 index 00000000..af94e37f --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/field.c @@ -0,0 +1,889 @@ +#include <ctype.h> +#include <stdarg.h> +#include <stdint.h> // for intptr_t +#include <stdio.h> +#include <stdlib.h> +#include <string.h> // for memcmp() +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_multiz.h" +#include "pbc_memory.h" + +// returns recommended window size. n is exponent. +static int optimal_pow_window_size(mpz_ptr n) { + int exp_bits; + + exp_bits = mpz_sizeinbase(n, 2); + + // try to minimize 2^k + n/(k+1). + return exp_bits > 9065 ? 8 : + exp_bits > 3529 ? 7 : + exp_bits > 1324 ? 6 : + exp_bits > 474 ? 5 : + exp_bits > 157 ? 4 : + exp_bits > 47 ? 3 : + 2; +} + +/* builds k-bit lookup window for base a */ +static element_t *build_pow_window(element_ptr a, int k) { + int s; + int lookup_size; + element_t *lookup; + + if (k < 1) return NULL; // no window + + /* build 2^k lookup table. lookup[i] = x^i. */ + /* TODO: a more careful word-finding algorithm would allow + * us to avoid calculating even lookup entries > 2 + */ + lookup_size = 1 << k; + lookup = pbc_malloc(lookup_size * sizeof(element_t)); + element_init(lookup[0], a->field); + element_set1(lookup[0]); + for (s = 1; s < lookup_size; s++) { + element_init(lookup[s], a->field); + element_mul(lookup[s], lookup[s - 1], a); + } + + return lookup; +} + +static void clear_pow_window(int k, element_t * lookup) { + int s; + int lookup_size = 1 << k; + + for (s = 0; s < lookup_size; s++) { + element_clear(lookup[s]); + } + pbc_free(lookup); +} + +/* + * left-to-right exponentiation with k-bit window. + * NB. must have k >= 1. + */ +static void element_pow_wind(element_ptr x, mpz_ptr n, + int k, element_t * a_lookup) { + int s; + int bit; + + int inword; // boolean: currently reading word? + int word = 0; // the word to look up. 0<word<base + int wbits = 0; // # of bits so far in word. wbits<=k. + + element_t result; + + // early abort if raising to power 0 + if (!mpz_sgn(n)) { + element_set1(x); + return; + } + + element_init(result, x->field); + element_set1(result); + + for (inword = 0, s = mpz_sizeinbase(n, 2) - 1; s >= 0; s--) { + element_square(result, result); + bit = mpz_tstbit(n, s); + + if (!inword && !bit) + continue; // keep scanning. note continue. + + if (!inword) { // was scanning, just found word + inword = 1; // so, start new word + word = 1; + wbits = 1; + } else { + word = (word << 1) + bit; + wbits++; // continue word + } + + if (wbits == k || s == 0) { + element_mul(result, result, a_lookup[word]); + inword = 0; + } + } + + element_set(x, result); + element_clear(result); +} + +static void generic_pow_mpz(element_ptr x, element_ptr a, mpz_ptr n) { + int k; + element_t *a_lookup; + + if (mpz_is0(n)) { + element_set1(x); + return; + } + + k = optimal_pow_window_size(n); + a_lookup = build_pow_window(a, k); + element_pow_wind(x, n, k, a_lookup); + clear_pow_window(k, a_lookup); +} + +/* TODO: Allow fields to choose this exponentiation routine so we can compare. +static void naive_generic_pow_mpz(element_ptr x, element_ptr a, mpz_ptr n) { + int s; + + element_t result; + + if (mpz_is0(n)) { + element_set1(x); + return; + } + + element_init(result, x->field); + element_set1(result); + + for (s = mpz_sizeinbase(n, 2) - 1; s >= 0; s--) { + element_square(result, result); + if (mpz_tstbit(n, s)) { + element_mul(result, result, a); + } + } + element_set(x, result); + element_clear(result); +} +*/ + +void element_pow2_mpz(element_ptr x, element_ptr a1, mpz_ptr n1, + element_ptr a2, mpz_ptr n2) { + int s, s1, s2; + int b1, b2; + + element_t result, a1a2; + + if (mpz_is0(n1) && mpz_is0(n2)) { + element_set1(x); + return; + } + + element_init(result, x->field); + element_set1(result); + + element_init(a1a2, x->field); + element_mul(a1a2, a1, a2); + + s1 = mpz_sizeinbase(n1, 2) - 1; + s2 = mpz_sizeinbase(n2, 2) - 1; + for (s = (s1 > s2) ? s1 : s2; s >= 0; s--) { + element_mul(result, result, result); + b1 = mpz_tstbit(n1, s); + b2 = mpz_tstbit(n2, s); + if (b1 && b2) { + element_mul(result, result, a1a2); + } else if (b1) { + element_mul(result, result, a1); + } else if (b2) { + element_mul(result, result, a2); + } + } + + element_set(x, result); + element_clear(result); + element_clear(a1a2); +} + +void element_pow3_mpz(element_ptr x, element_ptr a1, mpz_ptr n1, + element_ptr a2, mpz_ptr n2, + element_ptr a3, mpz_ptr n3) { + int s, s1, s2, s3; + int b; + int i; + + element_t result; + element_t lookup[8]; + + if (mpz_is0(n1) && mpz_is0(n2) && mpz_is0(n3)) { + element_set1(x); + return; + } + + element_init(result, x->field); + element_set1(result); + + for (i = 0; i < 8; i++) + element_init(lookup[i], x->field); + + // build lookup table. + element_set1(lookup[0]); + element_set(lookup[1], a1); + element_set(lookup[2], a2); + element_set(lookup[4], a3); + element_mul(lookup[3], a1, a2); + element_mul(lookup[5], a1, a3); + element_mul(lookup[6], a2, a3); + element_mul(lookup[7], lookup[6], a1); + + // calculate largest exponent bitsize + s1 = mpz_sizeinbase(n1, 2) - 1; + s2 = mpz_sizeinbase(n2, 2) - 1; + s3 = mpz_sizeinbase(n3, 2) - 1; + s = (s1 > s2) ? ((s1 > s3) ? s1 : s3) + : ((s2 > s3) ? s2 : s3); + + for (; s >= 0; s--) { + element_mul(result, result, result); + b = (mpz_tstbit(n1, s)) + + (mpz_tstbit(n2, s) << 1) + + (mpz_tstbit(n3, s) << 2); + element_mul(result, result, lookup[b]); + } + + element_set(x, result); + element_clear(result); + for (i = 0; i < 8; i++) + element_clear(lookup[i]); +} + +struct element_base_table { + int k; + int bits; + int num_lookups; + element_t **table; +}; + +/* build k-bit base table for n-bit exponentiation w/ base a */ +static void *element_build_base_table(element_ptr a, int bits, int k) { + struct element_base_table *base_table; + element_t multiplier; + int i, j; + int lookup_size; + + element_t *lookup; + + // pbc_info("building %d bits %d k", bits, k); + lookup_size = 1 << k; + + base_table = pbc_malloc(sizeof(struct element_base_table)); + base_table->num_lookups = bits / k + 1; + base_table->k = k; + base_table->bits = bits; + base_table->table = + pbc_malloc(base_table->num_lookups * sizeof(element_t *)); + + element_init(multiplier, a->field); + element_set(multiplier, a); + + for (i = 0; i < base_table->num_lookups; i++) { + lookup = pbc_malloc(lookup_size * sizeof(element_t)); + element_init(lookup[0], a->field); + element_set1(lookup[0]); + for (j = 1; j < lookup_size; j++) { + element_init(lookup[j], a->field); + element_mul(lookup[j], multiplier, lookup[j - 1]); + } + element_mul(multiplier, multiplier, lookup[lookup_size - 1]); + base_table->table[i] = lookup; + } + + element_clear(multiplier); + return base_table; +} + +/* + * exponentiation using aggressive base lookup table + * must have k >= 1. + */ +static void element_pow_base_table(element_ptr x, mpz_ptr power, + struct element_base_table *base_table) { + int word; /* the word to look up. 0<word<base */ + int row, s; /* row and col in base table */ + int num_lookups; + + element_t result; + mpz_t n; + mpz_init_set(n, power); + + // Early abort if raising to power 0. + if (!mpz_sgn(n)) { + element_set1(x); + return; + } + if (mpz_cmp(n, x->field->order) > 0) { + mpz_mod(n, n, x->field->order); + } + + element_init(result, x->field); + element_set1(result); + + num_lookups = mpz_sizeinbase(n, 2) / base_table->k + 1; + + for (row = 0; row < num_lookups; row++) { + word = 0; + for (s = 0; s < base_table->k; s++) { + word |= mpz_tstbit(n, base_table->k * row + s) << s; + } + if (word > 0) { + element_mul(result, result, base_table->table[row][word]); + } + } + + element_set(x, result); + element_clear(result); + mpz_clear(n); +} + +static void default_element_pp_init(element_pp_t p, element_t in) { + p->data = + element_build_base_table(in, mpz_sizeinbase(in->field->order, 2), 5); +} + +static void default_element_pp_pow(element_t out, mpz_ptr power, element_pp_t p) { + element_pow_base_table(out, power, p->data); +} + +static void default_element_pp_clear(element_pp_t p) { + struct element_base_table *base_table = p->data; + int lookup_size = 1 << base_table->k; + element_t *lookup; + int i, j; + + element_t **epp = base_table->table; + + for (i = 0; i < base_table->num_lookups; i++) { + lookup = epp[i]; + for (j = 0; j < lookup_size; j++) { + element_clear(lookup[j]); + } + pbc_free(lookup); + } + pbc_free(epp); + + pbc_free(base_table); +} + +void field_set_nqr(field_ptr f, element_t nqr) { + if (!f->nqr) { + f->nqr = pbc_malloc(sizeof(element_t)); + element_init(f->nqr, f); + } + element_set(f->nqr, nqr); +} + +void field_gen_nqr(field_ptr f) { + f->nqr = pbc_malloc(sizeof(element_t)); + element_init(f->nqr, f); + do { + element_random(f->nqr); + } while (element_is_sqr(f->nqr)); +} + +element_ptr field_get_nqr(field_ptr f) { + if (!f->nqr) field_gen_nqr(f); + return f->nqr; +} + +static void generic_square(element_ptr r, element_ptr a) { + element_mul(r, a, a); +} +static void generic_mul_mpz(element_ptr r, element_ptr a, mpz_ptr z) { + element_t e0; + element_init(e0, r->field); + element_set_mpz(e0, z); + element_mul(r, a, e0); + element_clear(e0); +} + +static void generic_mul_si(element_ptr r, element_ptr a, signed long int n) { + element_t e0; + element_init(e0, r->field); + element_set_si(e0, n); + element_mul(r, a, e0); + element_clear(e0); +} + +static void generic_double(element_ptr r, element_ptr a) { + element_add(r, a, a); +} + +static void generic_halve(element_ptr r, element_ptr a) { + element_t e0; + element_init(e0, r->field); + element_set_si(e0, 2); + element_invert(e0, e0); + element_mul(r, a, e0); + element_clear(e0); +} + +static void zero_to_mpz(mpz_t z, element_ptr a) { + UNUSED_VAR(a); + mpz_set_ui(z, 0); +} + +static void zero_set_mpz(element_ptr a, mpz_t z) { + UNUSED_VAR(z); + element_set0(a); +} + +static void zero_random(element_ptr a) { + element_set0(a); +} + +static void generic_set_si(element_ptr a, long int si) { + mpz_t z; + mpz_init(z); + mpz_set_si(z, si); + element_set_mpz(a, z); + mpz_clear(z); +} + +static void generic_set_multiz(element_ptr a, multiz m) { + mpz_t z; + mpz_init(z); + multiz_to_mpz(z, m); + element_set_mpz(a, z); + mpz_clear(z); +} + +static void generic_sub(element_ptr c, element_ptr a, element_ptr b) { + if (c != a) { + element_neg(c, b); + element_add(c, c, a); + } else { + element_t tmp; + element_init(tmp, a->field); + element_neg(tmp, b); + element_add(c, tmp, a); + element_clear(tmp); + } +} + +static void generic_div(element_ptr c, element_ptr a, element_ptr b) { + if (c != a) { + element_invert(c, b); + element_mul(c, c, a); + } else { + element_t tmp; + element_init(tmp, a->field); + element_invert(tmp, b); + element_mul(c, tmp, a); + element_clear(tmp); + } +} + +static void generic_add_ui(element_ptr c, element_ptr a, + unsigned long int b) { + element_t e; + mpz_t z; + element_init(e, c->field); + mpz_init(z); + mpz_set_ui(z, b); + element_set_mpz(e, z); + element_add(c, a, e); + mpz_clear(z); + element_clear(e); +} + +static int generic_cmp(element_ptr a, element_ptr b) { + int result; + unsigned char *buf1, *buf2; + int len; + if (a == b) return 0; + len = element_length_in_bytes(a); + if (len != element_length_in_bytes(b)) return 1; + buf1 = pbc_malloc(len); + buf2 = pbc_malloc(len); + element_to_bytes(buf1, a); + element_to_bytes(buf2, b); + result = memcmp(buf1, buf2, len); + pbc_free(buf1); + pbc_free(buf2); + return result; +} + +static int generic_is0(element_ptr a) { + int result; + element_t b; + element_init(b, a->field); + result = !element_cmp(a, b); // element_cmp returns 0 if 'a' and 'b' are the same, nonzero otherwise. generic_is0 returns true if 'a' is 0. + element_clear(b); + return result; +} + +static int generic_is1(element_ptr a) { + int result; + element_t b; + element_init(b, a->field); + element_set1(b); + result = !element_cmp(a, b); // element_cmp returns 0 if 'a' and 'b' are the same, nonzero otherwise. generic_is1 returns true if 'a' is 1. + element_clear(b); + return result; +} + +static void generic_out_info(FILE * out, field_ptr f) { + element_fprintf(out, "unknown field %p, order = %Zd", f, f->order); +} + +static int generic_item_count(element_ptr e) { + UNUSED_VAR(e); + return 0; +} + +static element_ptr generic_item(element_ptr e, int i) { + UNUSED_VAR(e); + UNUSED_VAR(i); + return NULL; +} + +static element_ptr generic_get_x(element_ptr e) { + return element_item(e, 0); +} + +static element_ptr generic_get_y(element_ptr e) { + return element_item(e, 1); +} + +static int default_element_snprint(char *s, size_t n, element_t e) { + UNUSED_VAR(e); + if (n == 1) { + s[0] = '0'; + } else if (n >= 2) { + s[0] = '?'; + s[1] = '\0'; + } + return 1; +} + +static int default_element_set_str(element_t e, const char *s, int base) { + UNUSED_VAR(s); + UNUSED_VAR(base); + element_set0(e); + return 0; +} + +static void warn_field_clear(field_ptr f) { + pbc_warn("field %p has no clear function", f); +} + +void field_out_info(FILE* out, field_ptr f) { + f->out_info(out, f); +} + +void field_init(field_ptr f) { + // should be called by each field_init_* + f->nqr = NULL; + mpz_init(f->order); + + // this should later be set + f->field_clear = warn_field_clear; + + // and this to something more helpful + f->out_info = generic_out_info; + + // many of these can usually be optimized for particular fields + // provided for developer's convenience + f->halve = generic_halve; + f->doub = generic_double; + f->square = generic_square; + f->mul_mpz = generic_mul_mpz; + f->mul_si = generic_mul_si; + f->cmp = generic_cmp; + f->sub = generic_sub; + f->div = generic_div; + f->add_ui = generic_add_ui; + + // default: converts all elements to integer 0 + // reads all integers as 0 + // random always outputs 0 + f->to_mpz = zero_to_mpz; + f->set_mpz = zero_set_mpz; + f->set_multiz = generic_set_multiz; + f->random = zero_random; + f->set_si = generic_set_si; + f->is1 = generic_is1; + f->is0 = generic_is0; + + // By default, an element has no components. + f->item_count = generic_item_count; + f->item = generic_item; + f->get_x = generic_get_x; + f->get_y = generic_get_y; + + // these are fast, thanks to Hovav + f->pow_mpz = generic_pow_mpz; + f->pp_init = default_element_pp_init; + f->pp_clear = default_element_pp_clear; + f->pp_pow = default_element_pp_pow; + + f->snprint = default_element_snprint; + f->set_str = default_element_set_str; + f->pairing = NULL; +} + +void field_clear(field_ptr f) { + if (f->nqr) { + element_clear(f->nqr); + pbc_free(f->nqr); + } + mpz_clear(f->order); + f->field_clear(f); +} + +void pbc_mpz_out_raw_n(unsigned char *data, int n, mpz_t z) { + size_t count; + if (mpz_sgn(z)) { + count = (mpz_sizeinbase(z, 2) + 7) / 8; + mpz_export(&data[n - count], NULL, 1, 1, 1, 0, z); + memset(data, 0, n - count); + } else { + memset(data, 0, n); + } +} + +//for short hashes H, do +// buf = H || 0 || H || 1 || H || ... +//before calling mpz_import +void pbc_mpz_from_hash(mpz_t z, mpz_t limit, + unsigned char *data, unsigned int len) { + size_t i = 0, n, count = (mpz_sizeinbase(limit, 2) + 7) / 8; + unsigned char buf[count]; + unsigned char counter = 0; + int done = 0; + for (;;) { + if (len >= count - i) { + n = count - i; + done = 1; + } else n = len; + memcpy(buf + i, data, n); + i += n; + if (done) break; + buf[i] = counter; + counter++; + i++; + if (i == count) break; + } + PBC_ASSERT(i == count, "did not read whole buffer"); + mpz_import(z, count, 1, 1, 1, 0, buf); + while (mpz_cmp(z, limit) > 0) { + mpz_tdiv_q_2exp(z, z, 1); + } +} + +// Square root algorithm for Fp. +// TODO: What happens if this is run on other kinds of fields? +void element_tonelli(element_ptr x, element_ptr a) { + int s; + int i; + mpz_t e; + mpz_t t, t0; + element_t ginv, e0; + element_ptr nqr; + + mpz_init(t); + mpz_init(e); + mpz_init(t0); + element_init(ginv, a->field); + element_init(e0, a->field); + nqr = field_get_nqr(a->field); + + element_invert(ginv, nqr); + + //let q be the order of the field + //q - 1 = 2^s t, t odd + mpz_sub_ui(t, a->field->order, 1); + s = mpz_scan1(t, 0); + mpz_tdiv_q_2exp(t, t, s); + mpz_set_ui(e, 0); + for (i = 2; i <= s; i++) { + mpz_sub_ui(t0, a->field->order, 1); + mpz_tdiv_q_2exp(t0, t0, i); + element_pow_mpz(e0, ginv, e); + element_mul(e0, e0, a); + element_pow_mpz(e0, e0, t0); + if (!element_is1(e0)) mpz_setbit(e, i - 1); + } + element_pow_mpz(e0, ginv, e); + element_mul(e0, e0, a); + mpz_add_ui(t, t, 1); + mpz_tdiv_q_2exp(t, t, 1); + mpz_tdiv_q_2exp(e, e, 1); + + // (suggested by Hovav Shacham) replace next three lines with + // element_pow2_mpz(x, e0, t, nqr, e); + // once sliding windows are implemented for pow2. + element_pow_mpz(e0, e0, t); + element_pow_mpz(x, nqr, e); + element_mul(x, x, e0); + + mpz_clear(t); + mpz_clear(e); + mpz_clear(t0); + element_clear(ginv); + element_clear(e0); +} + +// Like mpz_set_str except returns number of bytes read and allows trailing +// junk. This simplifies code for parsing elements like "[123, 456]". +// TODO: Handle 0x, 0X and 0 conventions for hexadecimal and octal. +int pbc_mpz_set_str(mpz_t z, const char *s, int base) { + int b, i = 0; + mpz_set_ui(z, 0); + if (!base) b = 10; + else if (base < 2 || base > 36) return 0; + else b = base; + + for (;;) { + int j; + char c = s[i]; + if (!c) break; + if (isspace(c)) { + i++; + continue; + } + if (isdigit(c)) { + j = c - '0'; + } else if (c >= 'A' && c <= 'Z') { + j = c - 'A'; + } else if (c >= 'a' && c <= 'z') { + j = c - 'a'; + } else break; + + if (j >= b) break; + + mpz_mul_ui(z, z, b); + mpz_add_ui(z, z, j); + i++; + } + return i; +} + +// Divides `n` with primes up to `limit`. For each factor found, +// call `fun`. If the callback returns nonzero, then aborts and returns 1. +// Otherwise returns 0. +int pbc_trial_divide(int (*fun)(mpz_t factor, + unsigned int multiplicity, + void *scope_ptr), + void *scope_ptr, + mpz_t n, + mpz_ptr limit) { + mpz_t p, m; + mpz_t fac; + unsigned int mul; + + mpz_init(fac); + mpz_init(p); + mpz_init(m); + mpz_set(m ,n); + mpz_set_ui(p, 2); + + while (mpz_cmp_ui(m, 1)) { + if (mpz_probab_prime_p(m, 10)) { + mpz_set(p, m); + } + if (limit && mpz_cmp(p, limit) > 0) { + mpz_set(p, m); + } + if (mpz_divisible_p(m, p)) { + mul = 0; + mpz_set(fac, p); + do { + mpz_divexact(m, m, p); + mul++; + } while (mpz_divisible_p(m, p)); + if (fun(fac, mul, scope_ptr)) { + mpz_clear(fac); + mpz_clear(m); + mpz_clear(p); + return 1; + } + } + mpz_nextprime(p, p); + } + + mpz_clear(fac); + mpz_clear(m); + mpz_clear(p); + return 0; +} + +// For each digit of 'n', call fun(). If it returns 1, then return 1 and +// abort. Otherwise return 0. +int pbc_mpz_trickle(int (*fun)(char), int base, mpz_t n) { + // TODO: Support different bases. + if (!base) base = 10; + if (base < 2 || base > 10) { + pbc_warn("only bases 2 to 10 supported"); + return 1; + } + mpz_t d, z, q; + mpz_init(d); + mpz_init(z); + mpz_init(q); + mpz_set(z, n); + int res; + int len; + mpz_ui_pow_ui(d, base, len = mpz_sizeinbase(z, base)); + if (mpz_cmp(d, z) > 0) { + len--; + mpz_divexact_ui(d, d, base); + } + while (mpz_cmp_ui(z, base) >= 0) { + mpz_fdiv_qr(q, z, z, d); + res = fun('0' + mpz_get_ui(q)); + if (res) goto clean; + mpz_divexact_ui(d, d, base); + len--; + } + while (len) { + res = fun('0'); + if (res) goto clean; + len--; + } + res = fun('0' + mpz_get_ui(z)); +clean: + mpz_clear(q); + mpz_clear(z); + mpz_clear(d); + return res; +} + +void element_multi_double(element_t n[], element_t a[], int m) { + element_ptr *temp1 = pbc_malloc(sizeof(*temp1)*m); + element_ptr *temp2 = pbc_malloc(sizeof(*temp2)*m); + int i; + + for(i=0; i<m; i++) { + PBC_ASSERT_MATCH2(n[i], a[i]); + temp1[i] = n[i]; + temp2[i] = a[i]; + } + n[0]->field->multi_doub(temp1, temp2, m); + pbc_free(temp1); + pbc_free(temp2); +} + +void element_multi_add(element_t n[], element_t a[],element_t b[], int m) { + size_t size = sizeof(element_ptr)*m; + element_ptr *temp1 = pbc_malloc(size); + element_ptr *temp2 = pbc_malloc(size); + element_ptr *temp3 = pbc_malloc(size); + + int i; + for(i=0; i<m; i++){ + PBC_ASSERT_MATCH3(n[i], a[i], b[i]); + temp1[i] = n[i]; + temp2[i] = a[i]; + temp3[i] = b[i]; + } + + n[0]->field->multi_add(temp1, temp2, temp3, m); + pbc_free(temp1); + pbc_free(temp2); + pbc_free(temp3); +} + +element_ptr element_new(field_ptr f) { + element_ptr e = pbc_malloc(sizeof(*e)); + element_init(e, f); + return e; +} + +void element_free(element_ptr e) { + element_clear(e); + pbc_free(e); +} diff --git a/moon-abe/pbc-0.5.14/arith/fieldquadratic.c b/moon-abe/pbc-0.5.14/arith/fieldquadratic.c new file mode 100644 index 00000000..bfb46027 --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/fieldquadratic.c @@ -0,0 +1,692 @@ +// Quadratic extension fields. +// +// The fq_ functions are for general quadratic extensions. +// The fi_ functions are faster versions of some of these functions specialized +// for fields extended by sqrt(-1). +// TODO: Instead of lazily generating a quadratic nonresidue, in this case +// we can use sqrt(base field nqr) as the nqr of the extension. + +#include <ctype.h> +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_multiz.h" +#include "pbc_fieldquadratic.h" +#include "pbc_memory.h" + +// Per-element data. +typedef struct { + // Elements have the form x + ya, where a is the square root of a quadratic + // nonresidue in the base field. + element_t x; + element_t y; +} *eptr; + +// Per-field data: we use ''data'' as a field_ptr to the base field. + +// Return the quadratic nonresidue used to build this field. +// Should only be called from routines used exclusively by the generic quadratic +// extension code. +static inline element_ptr fq_nqr(field_ptr f) { + return field_get_nqr((field_ptr) f->data); +} + +static void fq_init(element_ptr e) { + eptr p = e->data = pbc_malloc(sizeof(*p)); + field_ptr f = e->field->data; + element_init(p->x, f); + element_init(p->y, f); +} + +static void fq_clear(element_ptr e) { + eptr p = e->data; + element_clear(p->x); + element_clear(p->y); + pbc_free(e->data); +} + +static void fq_set_si(element_ptr e, signed long int i) { + eptr p = e->data; + element_set_si(p->x, i); + element_set0(p->y); +} + +static void fq_set_mpz(element_ptr e, mpz_t z) { + eptr p = e->data; + element_set_mpz(p->x, z); + element_set0(p->y); +} + +// Projection: attempts to convert Re(e) to mpz. +static void fq_to_mpz(mpz_t z, element_ptr e) { + eptr p = e->data; + element_to_mpz(z, p->x); +} + +static void fq_set0(element_ptr e) { + eptr p = e->data; + element_set0(p->x); + element_set0(p->y); +} + +static void fq_set1(element_ptr e) { + eptr p = e->data; + element_set1(p->x); + element_set0(p->y); +} + +static int fq_is0(element_ptr e) { + eptr p = e->data; + return element_is0(p->x) && element_is0(p->y); +} + +static int fq_is1(element_ptr e) { + eptr p = e->data; + return element_is1(p->x) && element_is0(p->y); +} + +static size_t fq_out_str(FILE *stream, int base, element_ptr e) { + size_t result = 4, status; + eptr p = e->data; + if (EOF == fputc('[', stream)) return 0; + result = element_out_str(stream, base, p->x); + if (!result) return 0; + if (EOF == fputs(", ", stream)) return 0; + status = element_out_str(stream, base, p->y); + if (!status) return 0; + if (EOF == fputc(']', stream)) return 0; + return result + status; +} + +static int fq_snprint(char *s, size_t n, element_ptr e) { + eptr p = e->data; + size_t result = 0, left; + int status; + + #define clip_sub() { \ + result += status; \ + left = result >= n ? 0 : n - result; \ + } + + status = snprintf(s, n, "["); + if (status < 0) return status; + clip_sub(); + status = element_snprint(s + result, left, p->x); + if (status < 0) return status; + clip_sub(); + status = snprintf(s + result, left, ", "); + if (status < 0) return status; + clip_sub(); + status = element_snprint(s + result, left, p->y); + if (status < 0) return status; + clip_sub(); + status = snprintf(s + result, left, "]"); + if (status < 0) return status; + return result + status; + #undef clip_sub +} + +static void fq_set_multiz(element_ptr e, multiz m) { + eptr p = e->data; + if (multiz_is_z(m)) { + element_set_multiz(p->x, m); + element_set0(p->y); + return; + } + element_set_multiz(p->x, multiz_at(m, 0)); + if (2 > multiz_count(m)) element_set0(p->y); + else element_set_multiz(p->y, multiz_at(m, 1)); +} + +static int fq_set_str(element_ptr e, const char *s, int base) { + const char *cp = s; + element_set0(e); + while (*cp && isspace(*cp)) cp++; + if (*cp++ != '[') return 0; + eptr p = e->data; + cp += element_set_str(p->x, cp, base); + while (*cp && isspace(*cp)) cp++; + if (*cp++ != ',') return 0; + cp += element_set_str(p->y, cp, base); + if (*cp++ != ']') return 0; + return cp - s; +} + +static int fq_sign(element_ptr n) { + int res; + eptr r = n->data; + res = element_sign(r->x); + if (!res) return element_sign(r->y); + return res; +} + +static void fq_add(element_ptr n, element_ptr a, element_ptr b) { + eptr p = a->data; + eptr q = b->data; + eptr r = n->data; + element_add(r->x, p->x, q->x); + element_add(r->y, p->y, q->y); +} + +static void fq_double(element_ptr n, element_ptr a) { + eptr p = a->data; + eptr r = n->data; + element_double(r->x, p->x); + element_double(r->y, p->y); +} + +static void fq_sub(element_ptr n, element_ptr a, element_ptr b) { + eptr p = a->data; + eptr q = b->data; + eptr r = n->data; + element_sub(r->x, p->x, q->x); + element_sub(r->y, p->y, q->y); +} + +static void fq_set(element_ptr n, element_ptr a) { + eptr p = a->data; + eptr r = n->data; + element_set(r->x, p->x); + element_set(r->y, p->y); +} + +static void fq_mul(element_ptr n, element_ptr a, element_ptr b) { + eptr p = a->data; + eptr q = b->data; + eptr r = n->data; + + element_ptr nqr = fq_nqr(n->field); + element_t e0, e1, e2; + + element_init(e0, p->x->field); + element_init(e1, e0->field); + element_init(e2, e0->field); + /* naive: + element_mul(e0, p->x, q->x); + element_mul(e1, p->y, q->y); + element_mul(e1, e1, nqr); + element_add(e0, e0, e1); + element_mul(e1, p->x, q->y); + element_mul(e2, p->y, q->x); + element_add(e1, e1, e2); + element_set(r->x, e0); + element_set(r->y, e1); + */ + // Karatsuba: + element_add(e0, p->x, p->y); + element_add(e1, q->x, q->y); + element_mul(e2, e0, e1); + element_mul(e0, p->x, q->x); + element_mul(e1, p->y, q->y); + element_mul(r->x, e1, nqr); + element_add(r->x, r->x, e0); + element_sub(e2, e2, e0); + element_sub(r->y, e2, e1); + + element_clear(e0); + element_clear(e1); + element_clear(e2); +} + +static void fq_mul_mpz(element_ptr n, element_ptr a, mpz_ptr z) { + eptr p = a->data; + eptr r = n->data; + element_mul_mpz(r->x, p->x, z); + element_mul_mpz(r->y, p->y, z); +} + +static void fq_mul_si(element_ptr n, element_ptr a, signed long int z) { + eptr p = a->data; + eptr r = n->data; + element_mul_si(r->x, p->x, z); + element_mul_si(r->y, p->y, z); +} + +static void fq_square(element_ptr n, element_ptr a) { + eptr p = a->data; + eptr r = n->data; + element_ptr nqr = fq_nqr(n->field); + element_t e0, e1; + + element_init(e0, p->x->field); + element_init(e1, e0->field); + element_square(e0, p->x); + element_square(e1, p->y); + element_mul(e1, e1, nqr); + element_add(e0, e0, e1); + element_mul(e1, p->x, p->y); + //TODO: which is faster? + //element_add(e1, e1, e1); + element_double(e1, e1); + element_set(r->x, e0); + element_set(r->y, e1); + element_clear(e0); + element_clear(e1); +} + +static void fq_neg(element_ptr n, element_ptr a) { + eptr p = a->data; + eptr r = n->data; + element_neg(r->x, p->x); + element_neg(r->y, p->y); +} + +static void fq_random(element_ptr e) { + eptr p = e->data; + element_random(p->x); + element_random(p->y); +} + +static int fq_cmp(element_ptr a, element_ptr b) { + eptr p = a->data; + eptr q = b->data; + return element_cmp(p->x, q->x) || element_cmp(p->y, q->y); +} + +static void fq_invert(element_ptr n, element_ptr a) { + eptr p = a->data; + eptr r = n->data; + element_ptr nqr = fq_nqr(n->field); + element_t e0, e1; + + element_init(e0, p->x->field); + element_init(e1, e0->field); + element_square(e0, p->x); + element_square(e1, p->y); + element_mul(e1, e1, nqr); + element_sub(e0, e0, e1); + element_invert(e0, e0); + element_mul(r->x, p->x, e0); + element_neg(e0, e0); + element_mul(r->y, p->y, e0); + + element_clear(e0); + element_clear(e1); +} + +static void fq_from_hash(element_ptr n, void *data, int len) { + eptr r = n->data; + int k = len / 2; + element_from_hash(r->x, data, k); + element_from_hash(r->y, (char *)data + k, len - k); +} + +static int fq_length_in_bytes(element_ptr e) { + eptr p = e->data; + return element_length_in_bytes(p->x) + element_length_in_bytes(p->y); +} + +static int fq_to_bytes(unsigned char *data, element_t e) { + eptr p = e->data; + int len; + len = element_to_bytes(data, p->x); + len += element_to_bytes(data + len, p->y); + return len; +} + +static int fq_from_bytes(element_t e, unsigned char *data) { + eptr p = e->data; + int len; + len = element_from_bytes(p->x, data); + len += element_from_bytes(p->y, data + len); + return len; +} + +static int fq_is_sqr(element_ptr e) { + //x + y sqrt(nqr) is a square iff x^2 - nqr y^2 is (in the base field) + eptr p = e->data; + element_t e0, e1; + element_ptr nqr = fq_nqr(e->field); + int result; + element_init(e0, p->x->field); + element_init(e1, e0->field); + element_square(e0, p->x); + element_square(e1, p->y); + element_mul(e1, e1, nqr); + element_sub(e0, e0, e1); + result = element_is_sqr(e0); + element_clear(e0); + element_clear(e1); + return result; +} + +static void fq_sqrt(element_ptr n, element_ptr e) { + eptr p = e->data; + eptr r = n->data; + element_ptr nqr = fq_nqr(n->field); + element_t e0, e1, e2; + + //if (a+b sqrt(nqr))^2 = x+y sqrt(nqr) then + //2a^2 = x +- sqrt(x^2 - nqr y^2) + //(take the sign which allows a to exist) + //and 2ab = y + element_init(e0, p->x->field); + element_init(e1, e0->field); + element_init(e2, e0->field); + element_square(e0, p->x); + element_square(e1, p->y); + element_mul(e1, e1, nqr); + element_sub(e0, e0, e1); + element_sqrt(e0, e0); + //e0 = sqrt(x^2 - nqr y^2) + element_add(e1, p->x, e0); + element_set_si(e2, 2); + element_invert(e2, e2); + element_mul(e1, e1, e2); + //e1 = (x + sqrt(x^2 - nqr y^2))/2 + if (!element_is_sqr(e1)) { + element_sub(e1, e1, e0); + //e1 should be a square + } + element_sqrt(e0, e1); + element_add(e1, e0, e0); + element_invert(e1, e1); + element_mul(r->y, p->y, e1); + element_set(r->x, e0); + element_clear(e0); + element_clear(e1); + element_clear(e2); +} + +static int fq_item_count(element_ptr e) { + UNUSED_VAR(e); + return 2; +} + +static element_ptr fq_item(element_ptr e, int i) { + eptr p = e->data; + switch(i) { + case 0: + return p->x; + case 1: + return p->y; + default: + return NULL; + } +} + +static void field_clear_fq(field_ptr f) { + UNUSED_VAR(f); + //f->order gets cleared automatically +} + +static void fq_out_info(FILE *out, field_ptr f) { + field_ptr fbase = f->data; + element_fprintf(out, "extension x^2 + %B, base field: ", fq_nqr(f)); + field_out_info(out, fbase); +} + +// Specialized versions of some of the above for the case K[i]. + +static void fi_mul(element_ptr n, element_ptr a, element_ptr b) { + eptr p = a->data; + eptr q = b->data; + eptr r = n->data; + element_t e0, e1, e2; + + element_init(e0, p->x->field); + element_init(e1, e0->field); + element_init(e2, e0->field); + /* Naive method: + element_mul(e0, p->x, q->x); + element_mul(e1, p->y, q->y); + element_sub(e0, e0, e1); + element_mul(e1, p->x, q->y); + element_mul(e2, p->y, q->x); + element_add(e1, e1, e2); + element_set(r->x, e0); + element_set(r->y, e1); + */ + // Karatsuba multiplicaiton: + element_add(e0, p->x, p->y); + element_add(e1, q->x, q->y); + element_mul(e2, e0, e1); + element_mul(e0, p->x, q->x); + element_sub(e2, e2, e0); + element_mul(e1, p->y, q->y); + element_sub(r->x, e0, e1); + element_sub(r->y, e2, e1); + + element_clear(e0); + element_clear(e1); + element_clear(e2); +} + +static void fi_square(element_ptr n, element_ptr a) { + eptr p = a->data; + eptr r = n->data; + element_t e0, e1; + + element_init(e0, p->x->field); + element_init(e1, e0->field); + // Re(n) = x^2 - y^2 = (x+y)(x-y) + element_add(e0, p->x, p->y); + element_sub(e1, p->x, p->y); + element_mul(e0, e0, e1); + // Im(n) = 2xy + element_mul(e1, p->x, p->y); + element_add(e1, e1, e1); + element_set(r->x, e0); + element_set(r->y, e1); + element_clear(e0); + element_clear(e1); +} + +static void fi_invert(element_ptr n, element_ptr a) { + eptr p = a->data; + eptr r = n->data; + element_t e0, e1; + + element_init(e0, p->x->field); + element_init(e1, e0->field); + element_square(e0, p->x); + element_square(e1, p->y); + element_add(e0, e0, e1); + element_invert(e0, e0); + element_mul(r->x, p->x, e0); + element_neg(e0, e0); + element_mul(r->y, p->y, e0); + + element_clear(e0); + element_clear(e1); +} + +static int fi_is_sqr(element_ptr e) { + // x + yi is a square <=> x^2 + y^2 is (in the base field). + + // Proof: (=>) if x+yi = (a+bi)^2, then a^2 - b^2 = x, 2ab = y, + // thus (a^2 + b^2)^2 = (a^2 - b^2)^2 + (2ab)^2 = x^2 + y^2 + + // (<=) Suppose A^2 = x^2 + y^2. If there exist a, b satisfying: + // a^2 = (+-A + x)/2, b^2 = (+-A - x)/2 + // then (a + bi)^2 = x + yi. + // + // We show that exactly one of (A + x)/2, (-A + x)/2 is a quadratic residue + // (thus a, b do exist). Suppose not. Then the product (x^2 - A^2) / 4 is + // some quadratic residue, a contradiction since this would imply x^2 - A^2 = + // -y^2 is also a quadratic residue, but we know -1 is not a quadratic + // residue. QED. + eptr p = e->data; + element_t e0, e1; + int result; + element_init(e0, p->x->field); + element_init(e1, e0->field); + element_square(e0, p->x); + element_square(e1, p->y); + element_add(e0, e0, e1); + result = element_is_sqr(e0); + element_clear(e0); + element_clear(e1); + return result; +} + +static void fi_sqrt(element_ptr n, element_ptr e) { + eptr p = e->data; + eptr r = n->data; + element_t e0, e1, e2; + + // If (a+bi)^2 = x+yi then 2a^2 = x +- sqrt(x^2 + y^2) + // where we choose the sign so that a exists, and 2ab = y. + // Thus 2b^2 = - (x -+ sqrt(x^2 + y^2)). + element_init(e0, p->x->field); + element_init(e1, e0->field); + element_init(e2, e0->field); + element_square(e0, p->x); + element_square(e1, p->y); + element_add(e0, e0, e1); + element_sqrt(e0, e0); + // e0 = sqrt(x^2 + y^2) + element_add(e1, p->x, e0); + element_set_si(e2, 2); + element_invert(e2, e2); + element_mul(e1, e1, e2); + // e1 = (x + sqrt(x^2 + y^2))/2 + if (!element_is_sqr(e1)) { + element_sub(e1, e1, e0); + // e1 should be a square. + } + element_sqrt(e0, e1); + element_add(e1, e0, e0); + element_invert(e1, e1); + element_mul(r->y, p->y, e1); + element_set(r->x, e0); + element_clear(e0); + element_clear(e1); + element_clear(e2); +} + +static void fi_out_info(FILE *out, field_ptr f) { + field_ptr fbase = f->data; + fprintf(out, "extension x^2 + 1, base field: "); + field_out_info(out, fbase); +} + +static void field_clear_fi(field_ptr f) { + UNUSED_VAR(f); +} + +// All the above should be static. + +void element_field_to_quadratic(element_ptr r, element_ptr a) { + eptr p = r->data; + element_set(p->x, a); + element_set0(p->y); +} + +void element_field_to_fi(element_ptr a, element_ptr b) { + element_field_to_quadratic(a, b); +} + +static element_ptr fq_get_x(element_ptr a) { + return ((eptr) a->data)->x; +} + +static element_ptr fq_get_y(element_ptr a) { + return ((eptr) a->data)->y; +} + +void field_init_quadratic(field_ptr f, field_ptr fbase) { + field_init(f); + + f->field_clear = field_clear_fq; + f->data = fbase; + + f->init = fq_init; + f->clear = fq_clear; + f->set_si = fq_set_si; + f->set_mpz = fq_set_mpz; + f->to_mpz = fq_to_mpz; + f->out_str = fq_out_str; + f->snprint = fq_snprint; + f->set_multiz = fq_set_multiz; + f->set_str = fq_set_str; + f->sign = fq_sign; + f->add = fq_add; + f->sub = fq_sub; + f->set = fq_set; + f->mul = fq_mul; + f->mul_mpz = fq_mul_mpz; + f->mul_si = fq_mul_si; + f->square = fq_square; + f->doub = fq_double; + f->neg = fq_neg; + f->cmp = fq_cmp; + f->invert = fq_invert; + f->random = fq_random; + f->from_hash = fq_from_hash; + f->is1 = fq_is1; + f->is0 = fq_is0; + f->set0 = fq_set0; + f->set1 = fq_set1; + f->is_sqr = fq_is_sqr; + f->sqrt = fq_sqrt; + f->to_bytes = fq_to_bytes; + f->from_bytes = fq_from_bytes; + f->out_info = fq_out_info; + f->item_count = fq_item_count; + f->item = fq_item; + f->get_x = fq_get_x; + f->get_y = fq_get_y; + + mpz_mul(f->order, fbase->order, fbase->order); + if (fbase->fixed_length_in_bytes < 0) { + f->length_in_bytes = fq_length_in_bytes; + f->fixed_length_in_bytes = -1; + } else { + f->fixed_length_in_bytes = 2 * fbase->fixed_length_in_bytes; + } +} + +void field_init_fi(field_ptr f, field_ptr fbase) { + field_init(f); + f->field_clear = field_clear_fi; + f->data = fbase; + f->init = fq_init; + f->clear = fq_clear; + f->set_si = fq_set_si; + f->set_mpz = fq_set_mpz; + f->to_mpz = fq_to_mpz; + f->out_str = fq_out_str; + f->snprint = fq_snprint; + f->set_multiz = fq_set_multiz; + f->set_str = fq_set_str; + f->sign = fq_sign; + f->add = fq_add; + f->sub = fq_sub; + f->set = fq_set; + f->mul = fi_mul; + f->mul_mpz = fq_mul_mpz; + f->mul_si = fq_mul_si; + f->square = fi_square; + f->doub = fq_double; + f->neg = fq_neg; + f->cmp = fq_cmp; + f->invert = fi_invert; + f->random = fq_random; + f->from_hash = fq_from_hash; + f->is1 = fq_is1; + f->is0 = fq_is0; + f->set0 = fq_set0; + f->set1 = fq_set1; + f->is_sqr = fi_is_sqr; + f->sqrt = fi_sqrt; + f->to_bytes = fq_to_bytes; + f->from_bytes = fq_from_bytes; + f->out_info = fi_out_info; + f->item_count = fq_item_count; + f->item = fq_item; + f->get_x = fq_get_x; + f->get_y = fq_get_y; + + mpz_mul(f->order, fbase->order, fbase->order); + if (fbase->fixed_length_in_bytes < 0) { + f->length_in_bytes = fq_length_in_bytes; + f->fixed_length_in_bytes = -1; + } else { + f->fixed_length_in_bytes = 2 * fbase->fixed_length_in_bytes; + } +} diff --git a/moon-abe/pbc-0.5.14/arith/fp.c b/moon-abe/pbc-0.5.14/arith/fp.c new file mode 100644 index 00000000..e0127a8e --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/fp.c @@ -0,0 +1,49 @@ +// F_p initialization. +// +// Specific implementations of F_p are found in naivefp.c, fastfp.c, fasterfp.c +// and montfp.c. For pairing-based cryptosystems, montfp.c is the fastest. +// I keep all versions around for testing, and also to show off the modularity +// of the code. + +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <gmp.h> +#include <string.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_fp.h" + +// By default, use the montfp.c implementation of F_p. After +// pbc_tweak_use_fp(), future field_init_fp calls will use the specified +// implementation. This is useful for benchmarking and testing. +static void (*option_fpinit) (field_ptr f, mpz_t prime) = field_init_mont_fp; + +void pbc_tweak_use_fp(char *s) { + if (!strcmp(s, "naive")) { + option_fpinit = field_init_naive_fp; + } else if (!strcmp(s, "fast")) { + option_fpinit = field_init_fast_fp; + } else if (!strcmp(s, "faster")) { + option_fpinit = field_init_faster_fp; + } else if (!strcmp(s, "mont")) { + option_fpinit = field_init_mont_fp; + } else { + pbc_error("no such Fp implementation: %s", s); + } +} + +void field_init_fp(field_ptr f, mpz_t modulus) { + if (mpz_fits_ulong_p(modulus)) { + // If this case mattered, I'd have written a F_p implementation specialized + // for moduli that fits into machine words. + field_init_naive_fp(f, modulus); + } else { + if (mpz_odd_p(modulus)) { + option_fpinit(f, modulus); + } else { + // montfp.c only supports odd moduli. + field_init_faster_fp(f, modulus); + } + } +} diff --git a/moon-abe/pbc-0.5.14/arith/init_random.c b/moon-abe/pbc-0.5.14/arith/init_random.c new file mode 100644 index 00000000..bd040a38 --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/init_random.c @@ -0,0 +1,18 @@ +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_random.h" + +void pbc_init_random(void) { + FILE *fp; + fp = fopen("/dev/urandom", "rb"); + if (!fp) { + pbc_warn("could not open /dev/urandom, using deterministic random number generator"); + pbc_random_set_deterministic(0); + } else { + pbc_random_set_file("/dev/urandom"); + fclose(fp); + } +} diff --git a/moon-abe/pbc-0.5.14/arith/init_random.win32.c b/moon-abe/pbc-0.5.14/arith/init_random.win32.c new file mode 100644 index 00000000..ec7f8732 --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/init_random.win32.c @@ -0,0 +1,52 @@ +// Win32 Compatibility Code added by Yulian Kalev and Stefan Georg Weber. +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <windows.h> +#include <wincrypt.h> +#include <gmp.h> +#include "pbc_random.h" +#include "pbc_utils.h" +#include "pbc_memory.h" + +static void win32_mpz_random(mpz_t r, mpz_t limit, void *data) { + UNUSED_VAR (data); + HCRYPTPROV phProv; + unsigned int error; + if (!CryptAcquireContext(&phProv,NULL,NULL,PROV_RSA_FULL,0)) { + error = GetLastError(); + if (error == 0x80090016) { //need to create a new keyset + if (!CryptAcquireContext(&phProv,NULL,NULL,PROV_RSA_FULL,CRYPT_NEWKEYSET)) { + pbc_error("Couldn't create CryptContext: %x", (int)GetLastError()); + return; + } + } else { + pbc_error("Couldn't create CryptContext: %x", error); + return; + } + } + int n, bytecount, leftover; + unsigned char *bytes; + mpz_t z; + mpz_init(z); + n = mpz_sizeinbase(limit, 2); + bytecount = (n + 7) / 8; + leftover = n % 8; + bytes = (unsigned char *) pbc_malloc(bytecount); + for (;;) { + CryptGenRandom(phProv,bytecount,(byte *)bytes); + if (leftover) { + *bytes = *bytes % (1 << leftover); + } + mpz_import(z, bytecount, 1, 1, 0, 0, bytes); + if (mpz_cmp(z, limit) < 0) break; + } + CryptReleaseContext(phProv,0); + mpz_set(r, z); + mpz_clear(z); + pbc_free(bytes); +} + +void pbc_init_random(void) { + pbc_random_set_function(win32_mpz_random, NULL); +} diff --git a/moon-abe/pbc-0.5.14/arith/montfp.c b/moon-abe/pbc-0.5.14/arith/montfp.c new file mode 100644 index 00000000..c79bb72b --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/montfp.c @@ -0,0 +1,596 @@ +// F_p using Montgomery representation. +// +// Let b = 256^sizeof(mp_limb_t). +// Let R = b^t be the smallest power of b greater than the modulus p. +// Then x is stored as xR (mod p). +// Addition: same as naive implementation. +// Multipication: Montgomery reduction. +// Code assumes the modulus p is odd. +// +// TODO: mul_2exp(x, p->bytes * 8) could be replaced with +// faster code that messes with GMP internals + +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <string.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_random.h" +#include "pbc_fp.h" +#include "pbc_memory.h" + +// Per-field data. +typedef struct { + size_t limbs; // Number of limbs per element. + size_t bytes; // Number of bytes per element. + mp_limb_t *primelimbs; // Points to an array of limbs holding the modulus. + mp_limb_t negpinv; // -p^-1 mod b + mp_limb_t *R; // R mod p + mp_limb_t *R3; // R^3 mod p +} *fptr; + +// Per-element data. +typedef struct { + char flag; // flag == 0 means the element is zero. + mp_limb_t *d; // Otherwise d points to an array holding the element. +} *eptr; + +// Copies limbs of z into dst and zeroes any leading limbs, where n is the +// total number of limbs. +// Requires z to have at most n limbs. +static inline void set_limbs(mp_limb_t *dst, mpz_t z, size_t n) { + size_t count; + mpz_export(dst, &count, -1, sizeof(mp_limb_t), 0, 0, z); + memset((void *) (((unsigned char *) dst) + count * sizeof(mp_limb_t)), + 0, (n - count) * sizeof(mp_limb_t)); +} + +static void fp_init(element_ptr e) { + fptr p = e->field->data; + eptr ep = e->data = pbc_malloc(sizeof(*ep)); + ep->flag = 0; + ep->d = pbc_malloc(p->bytes); +} + +static void fp_clear(element_ptr e) { + eptr ep = e->data; + pbc_free(ep->d); + pbc_free(e->data); +} + +static void fp_set_mpz(element_ptr e, mpz_ptr z) { + fptr p = e->field->data; + eptr ep = e->data; + if (!mpz_sgn(z)) ep->flag = 0; + else { + mpz_t tmp; + mpz_init(tmp); + mpz_mul_2exp(tmp, z, p->bytes * 8); + mpz_mod(tmp, tmp, e->field->order); + if (!mpz_sgn(tmp)) ep->flag = 0; + else { + set_limbs(ep->d, tmp, p->limbs); + ep->flag = 2; + } + mpz_clear(tmp); + } +} + +static void fp_set_si(element_ptr e, signed long int op) { + fptr p = e->field->data; + eptr ep = e->data; + if (!op) ep->flag = 0; + else { + mpz_t tmp; + mpz_init(tmp); + // TODO: Could be optimized. + mpz_set_si(tmp, op); + mpz_mul_2exp(tmp, tmp, p->bytes * 8); + mpz_mod(tmp, tmp, e->field->order); + if (!mpz_sgn(tmp)) ep->flag = 0; + else { + set_limbs(ep->d, tmp, p->limbs); + ep->flag = 2; + } + mpz_clear(tmp); + } +} + +// Montgomery reduction. +// Algorithm II.4 from Blake, Seroussi and Smart. +static void mont_reduce(mp_limb_t *x, mp_limb_t *y, fptr p) { + size_t t = p->limbs; + size_t i; + mp_limb_t flag = 0; + for (i = 0; i < t; i++) { + mp_limb_t u = y[i] * p->negpinv; + mp_limb_t carry = mpn_addmul_1(&y[i], p->primelimbs, t, u); + //mpn_add_1(&y[i+t], &y[i+t], t - i + 1, carry); + flag += mpn_add_1(&y[i + t], &y[i + t], t - i, carry); + } + if (flag || mpn_cmp(&y[t], p->primelimbs, t) >= 0) { + mpn_sub_n(x, &y[t], p->primelimbs, t); + } else { + // TODO: GMP set might be faster. + memcpy(x, &y[t], t * sizeof(mp_limb_t)); + } +} + +static void fp_to_mpz(mpz_ptr z, element_ptr e) { + eptr ep = e->data; + if (!ep->flag) mpz_set_ui(z, 0); + else { + // x is stored as xR. + // We must divide out R to convert to standard representation. + fptr p = e->field->data; + mp_limb_t tmp[2 * p->limbs]; + + memcpy(tmp, ep->d, p->limbs * sizeof(mp_limb_t)); + memset(&tmp[p->limbs], 0, p->limbs * sizeof(mp_limb_t)); + _mpz_realloc(z, p->limbs); + mont_reduce(z->_mp_d, tmp, p); + // Remove leading zero limbs. + for (z->_mp_size = p->limbs; !z->_mp_d[z->_mp_size - 1]; z->_mp_size--); + } +} + +static void fp_set0(element_ptr e) { + eptr ep = e->data; + ep->flag = 0; +} + +static void fp_set1(element_ptr e) { + fptr p = e->field->data; + eptr ep = e->data; + ep->flag = 2; + memcpy(ep->d, p->R, p->bytes); +} + +static int fp_is1(element_ptr e) { + eptr ep = e->data; + if (!ep->flag) return 0; + else { + fptr p = e->field->data; + return !mpn_cmp(ep->d, p->R, p->limbs); + } +} + +static int fp_is0(element_ptr e) { + eptr ep = e->data; + return !ep->flag; +} + +static size_t fp_out_str(FILE * stream, int base, element_ptr e) { + size_t result; + mpz_t z; + mpz_init(z); + fp_to_mpz(z, e); + result = mpz_out_str(stream, base, z); + mpz_clear(z); + return result; +} + +static int fp_snprint(char *s, size_t n, element_ptr e) { + int result; + mpz_t z; + mpz_init(z); + fp_to_mpz(z, e); + result = gmp_snprintf(s, n, "%Zd", z); + mpz_clear(z); + return result; +} + +static int fp_set_str(element_ptr e, const char *s, int base) { + mpz_t z; + mpz_init(z); + int result = pbc_mpz_set_str(z, s, base); + mpz_mod(z, z, e->field->order); + fp_set_mpz(e, z); + mpz_clear(z); + return result; +} + +static void fp_set(element_ptr c, element_ptr a) { + eptr ad = a->data; + eptr cd = c->data; + if (a == c) return; + if (!ad->flag) cd->flag = 0; + else { + fptr p = a->field->data; + + // Assembly is faster, but I don't want to stoop to that level. + // Instead of memcpy(), we rewrite so GMP assembly ends up being invoked. + /* + memcpy(cd->d, ad->d, p->bytes); + */ + mpz_t z1, z2; + z1->_mp_d = cd->d; + z2->_mp_d = ad->d; + z1->_mp_size = z1->_mp_alloc = z2->_mp_size = z2->_mp_alloc = p->limbs; + mpz_set(z1, z2); + + cd->flag = 2; + } +} + +static void fp_add(element_ptr c, element_ptr a, element_ptr b) { + eptr ad = a->data, bd = b->data; + + if (!ad->flag) { + fp_set(c, b); + } else if (!bd->flag) { + fp_set(c, a); + } else { + eptr cd = c->data; + fptr p = a->field->data; + const size_t t = p->limbs; + mp_limb_t carry; + carry = mpn_add_n(cd->d, ad->d, bd->d, t); + + if (carry) { + // Assumes result of following sub is not zero, + // i.e. modulus cannot be 2^(n * bits_per_limb). + mpn_sub_n(cd->d, cd->d, p->primelimbs, t); + cd->flag = 2; + } else { + int i = mpn_cmp(cd->d, p->primelimbs, t); + if (!i) { + cd->flag = 0; + } else { + cd->flag = 2; + if (i > 0) { + mpn_sub_n(cd->d, cd->d, p->primelimbs, t); + } + } + } + } +} + +static void fp_double(element_ptr c, element_ptr a) { + eptr ad = a->data, cd = c->data; + if (!ad->flag) { + cd->flag = 0; + } else { + fptr p = c->field->data; + const size_t t = p->limbs; + if (mpn_lshift(cd->d, ad->d, t, 1)) { + cd->flag = 2; + // Again, assumes result is not zero. + mpn_sub_n(cd->d, cd->d, p->primelimbs, t); + } else { + int i = mpn_cmp(cd->d, p->primelimbs, t); + if (!i) { + cd->flag = 0; + } else { + cd->flag = 2; + if (i > 0) { + mpn_sub_n(cd->d, cd->d, p->primelimbs, t); + } + } + } + } +} + +static void fp_halve(element_ptr c, element_ptr a) { + eptr ad = a->data, cd = c->data; + if (!ad->flag) { + cd->flag = 0; + } else { + fptr p = c->field->data; + const size_t t = p->limbs; + int carry = 0; + mp_limb_t *alimb = ad->d; + mp_limb_t *climb = cd->d; + if (alimb[0] & 1) { + carry = mpn_add_n(climb, alimb, p->primelimbs, t); + } else fp_set(c, a); + + mpn_rshift(climb, climb, t, 1); + if (carry) climb[t - 1] |= ((mp_limb_t) 1) << (sizeof(mp_limb_t) * 8 - 1); + } +} + +static void fp_neg(element_ptr c, element_ptr a) { + eptr ad = a->data, cd = c->data; + if (!ad->flag) cd->flag = 0; + else { + fptr p = a->field->data; + mpn_sub_n(cd->d, p->primelimbs, ad->d, p->limbs); + cd->flag = 2; + } +} + +static void fp_sub(element_ptr c, element_ptr a, element_ptr b) { + eptr ad = a->data, bd = b->data; + + if (!ad->flag) { + fp_neg(c, b); + } else if (!bd->flag) { + fp_set(c, a); + } else { + fptr p = c->field->data; + size_t t = p->limbs; + eptr cd = c->data; + int i = mpn_cmp(ad->d, bd->d, t); + + if (i == 0) { + cd->flag = 0; + } else { + cd->flag = 2; + mpn_sub_n(cd->d, ad->d, bd->d, t); + if (i < 0) { + mpn_add_n(cd->d, cd->d, p->primelimbs, t); + } + } + } +} + +// Montgomery multiplication. +// See Blake, Seroussi and Smart. +static inline void mont_mul(mp_limb_t *c, mp_limb_t *a, mp_limb_t *b, + fptr p) { + // Instead of right shifting every iteration + // I allocate more room for the z array. + size_t i, t = p->limbs; + mp_limb_t z[2 * t + 1]; + mp_limb_t u = (a[0] * b[0]) * p->negpinv; + mp_limb_t v = z[t] = mpn_mul_1(z, b, t, a[0]); + z[t] += mpn_addmul_1(z, p->primelimbs, t, u); + z[t + 1] = z[t] < v; // Handle overflow. + for (i = 1; i < t; i++) { + u = (z[i] + a[i] * b[0]) * p->negpinv; + v = z[t + i] += mpn_addmul_1(z + i, b, t, a[i]); + z[t + i] += mpn_addmul_1(z + i, p->primelimbs, t, u); + z[t + i + 1] = z[t + i] < v; + } + if (z[t * 2] || mpn_cmp(z + t, p->primelimbs, t) >= 0) { + mpn_sub_n(c, z + t, p->primelimbs, t); + } else { + memcpy(c, z + t, t * sizeof(mp_limb_t)); + // Doesn't seem to make a difference: + /* + mpz_t z1, z2; + z1->_mp_d = c; + z2->_mp_d = z + t; + z1->_mp_size = z1->_mp_alloc = z2->_mp_size = z2->_mp_alloc = t; + mpz_set(z1, z2); + */ + } +} + +static void fp_mul(element_ptr c, element_ptr a, element_ptr b) { + eptr ad = a->data, bd = b->data; + eptr cd = c->data; + + if (!ad->flag || !bd->flag) { + cd->flag = 0; + } else { + fptr p = c->field->data; + mont_mul(cd->d, ad->d, bd->d, p); + cd->flag = 2; + } +} + +static void fp_pow_mpz(element_ptr c, element_ptr a, mpz_ptr op) { + // Alternative: rewrite GMP mpz_powm(). + fptr p = a->field->data; + eptr ad = a->data; + eptr cd = c->data; + if (!ad->flag) cd->flag = 0; + else { + mpz_t z; + mpz_init(z); + fp_to_mpz(z, a); + mpz_powm(z, z, op, a->field->order); + mpz_mul_2exp(z, z, p->bytes * 8); + mpz_mod(z, z, a->field->order); + set_limbs(cd->d, z, p->limbs); + mpz_clear(z); + cd->flag = 2; + } +} + +// Inversion is slower than in a naive Fp implementation because of an extra +// multiplication. +// Requires nonzero a. +static void fp_invert(element_ptr c, element_ptr a) { + eptr ad = a->data; + eptr cd = c->data; + fptr p = a->field->data; + mp_limb_t tmp[p->limbs]; + mpz_t z; + + mpz_init(z); + + // Copy the limbs into a regular mpz_t so we can invert using the standard + // mpz_invert(). + mpz_import(z, p->limbs, -1, sizeof(mp_limb_t), 0, 0, ad->d); + mpz_invert(z, z, a->field->order); + set_limbs(tmp, z, p->limbs); + + // Normalize. + mont_mul(cd->d, tmp, p->R3, p); + cd->flag = 2; + mpz_clear(z); +} + +static void fp_random(element_ptr a) { + fptr p = a->field->data; + eptr ad = a->data; + mpz_t z; + mpz_init(z); + pbc_mpz_random(z, a->field->order); + if (mpz_sgn(z)) { + mpz_mul_2exp(z, z, p->bytes * 8); + mpz_mod(z, z, a->field->order); + set_limbs(ad->d, z, p->limbs); + ad->flag = 2; + } else { + ad->flag = 0; + } + mpz_clear(z); +} + +static void fp_from_hash(element_ptr a, void *data, int len) { + mpz_t z; + + mpz_init(z); + pbc_mpz_from_hash(z, a->field->order, data, len); + fp_set_mpz(a, z); + mpz_clear(z); +} + +static int fp_cmp(element_ptr a, element_ptr b) { + eptr ad = a->data, bd = b->data; + if (!ad->flag) return bd->flag; + else { + fptr p = a->field->data; + return mpn_cmp(ad->d, bd->d, p->limbs); + //return memcmp(ad->d, bd->d, p->limbs); + } +} + +static int fp_sgn_odd(element_ptr a) { + eptr ad = a->data; + if (!ad->flag) return 0; + else { + mpz_t z; + mpz_init(z); + int res; + fp_to_mpz(z, a); + res = mpz_odd_p(z) ? 1 : -1; + mpz_clear(z); + return res; + } +} + +static int fp_is_sqr(element_ptr a) { + eptr ad = a->data; + int res; + mpz_t z; + mpz_init(z); + // 0 is a square. + if (!ad->flag) return 1; + fp_to_mpz(z, a); + res = mpz_legendre(z, a->field->order) == 1; + mpz_clear(z); + return res; +} + +static int fp_to_bytes(unsigned char *data, element_t a) { + mpz_t z; + int n = a->field->fixed_length_in_bytes; + + mpz_init(z); + fp_to_mpz(z, a); + pbc_mpz_out_raw_n(data, n, z); + mpz_clear(z); + return n; +} + +static int fp_from_bytes(element_t a, unsigned char *data) { + fptr p = a->field->data; + eptr ad = a->data; + int n; + mpz_t z; + + mpz_init(z); + + n = a->field->fixed_length_in_bytes; + mpz_import(z, n, 1, 1, 1, 0, data); + if (!mpz_sgn(z)) ad->flag = 0; + else { + ad->flag = 2; + mpz_mul_2exp(z, z, p->bytes * 8); + mpz_mod(z, z, a->field->order); + set_limbs(ad->d, z, p->limbs); + } + mpz_clear(z); + return n; +} + +static void fp_field_clear(field_t f) { + fptr p = f->data; + pbc_free(p->primelimbs); + pbc_free(p->R); + pbc_free(p->R3); + pbc_free(p); +} + +// The only public functions. All the above should be static. + +static void fp_out_info(FILE * out, field_ptr f) { + element_fprintf(out, "GF(%Zd): Montgomery representation", f->order); +} + +void field_init_mont_fp(field_ptr f, mpz_t prime) { + PBC_ASSERT(!mpz_fits_ulong_p(prime), "modulus too small"); + fptr p; + field_init(f); + f->init = fp_init; + f->clear = fp_clear; + f->set_si = fp_set_si; + f->set_mpz = fp_set_mpz; + f->out_str = fp_out_str; + f->snprint = fp_snprint; + f->set_str = fp_set_str; + f->add = fp_add; + f->sub = fp_sub; + f->set = fp_set; + f->mul = fp_mul; + f->doub = fp_double; + f->halve = fp_halve; + f->pow_mpz = fp_pow_mpz; + f->neg = fp_neg; + f->sign = fp_sgn_odd; + f->cmp = fp_cmp; + f->invert = fp_invert; + f->random = fp_random; + f->from_hash = fp_from_hash; + f->is1 = fp_is1; + f->is0 = fp_is0; + f->set0 = fp_set0; + f->set1 = fp_set1; + f->is_sqr = fp_is_sqr; + f->sqrt = element_tonelli; + f->field_clear = fp_field_clear; + f->to_bytes = fp_to_bytes; + f->from_bytes = fp_from_bytes; + f->to_mpz = fp_to_mpz; + f->out_info = fp_out_info; + + // Initialize per-field data specific to this implementation. + p = f->data = pbc_malloc(sizeof(*p)); + p->limbs = mpz_size(prime); + p->bytes = p->limbs * sizeof(mp_limb_t); + p->primelimbs = pbc_malloc(p->bytes); + mpz_export(p->primelimbs, &p->limbs, -1, sizeof(mp_limb_t), 0, 0, prime); + + mpz_set(f->order, prime); + f->fixed_length_in_bytes = (mpz_sizeinbase(prime, 2) + 7) / 8; + + // Compute R, R3 and negpinv. + mpz_t z; + mpz_init(z); + + p->R = pbc_malloc(p->bytes); + p->R3 = pbc_malloc(p->bytes); + mpz_setbit(z, p->bytes * 8); + mpz_mod(z, z, prime); + set_limbs(p->R, z, p->limbs); + + mpz_powm_ui(z, z, 3, prime); + set_limbs(p->R3, z, p->limbs); + + mpz_set_ui(z, 0); + + // Algorithm II.5 in Blake, Seroussi and Smart is better but this suffices + // since we're only doing it once. + mpz_setbit(z, p->bytes * 8); + mpz_invert(z, prime, z); + p->negpinv = -mpz_get_ui(z); + mpz_clear(z); +} diff --git a/moon-abe/pbc-0.5.14/arith/multiz.c b/moon-abe/pbc-0.5.14/arith/multiz.c new file mode 100644 index 00000000..6c8b43cc --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/multiz.c @@ -0,0 +1,589 @@ +// Multinomials over Z. +// e.g. [[1, 2], 3, [4, [5, 6]]] means +// (1 + 2y) + 3 x + (4 + (5 + 6z)y)x^2 +// Convenient interchange format for different groups, rings, and fields. + +// TODO: Canonicalize, e.g. [[1]], 0, 0] --> 1. + +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_multiz.h" +#include "pbc_random.h" +#include "pbc_fp.h" +#include "pbc_memory.h" +#include "misc/darray.h" + +// Per-element data. +struct multiz_s { + // Either it's an mpz, or a list of mpzs. + char type; + union { + mpz_t z; + darray_t a; + }; +}; + +enum { + T_MPZ, + T_ARR, +}; + +static multiz multiz_new_empty_list(void) { + multiz ep = pbc_malloc(sizeof(*ep)); + ep->type = T_ARR; + darray_init(ep->a); + return ep; +} + +void multiz_append(element_ptr x, element_ptr e) { + multiz l = x->data; + darray_append(l->a, e->data); +} + +static multiz multiz_new(void) { + multiz ep = pbc_malloc(sizeof(*ep)); + ep->type = T_MPZ; + mpz_init(ep->z); + return ep; +} + +static void f_init(element_ptr e) { + e->data = multiz_new(); +} + +static void multiz_free(multiz ep) { + switch(ep->type) { + case T_MPZ: + mpz_clear(ep->z); + break; + default: + PBC_ASSERT(T_ARR == ep->type, "no such type"); + darray_forall(ep->a, (void(*)(void*))multiz_free); + darray_clear(ep->a); + break; + } + pbc_free(ep); +} + +static void f_clear(element_ptr e) { + multiz_free(e->data); +} + +element_ptr multiz_new_list(element_ptr e) { + element_ptr x = pbc_malloc(sizeof(*x)); + element_init_same_as(x, e); + multiz_free(x->data); + x->data = multiz_new_empty_list(); + multiz_append(x, e); + return x; +} + +static void f_set_si(element_ptr e, signed long int op) { + multiz_free(e->data); + f_init(e); + multiz ep = e->data; + mpz_set_si(ep->z, op); +} + +static void f_set_mpz(element_ptr e, mpz_ptr z) { + multiz_free(e->data); + f_init(e); + multiz ep = e->data; + mpz_set(ep->z, z); +} + +static void f_set0(element_ptr e) { + multiz_free(e->data); + f_init(e); +} + +static void f_set1(element_ptr e) { + multiz_free(e->data); + f_init(e); + multiz ep = e->data; + mpz_set_ui(ep->z, 1); +} + +static size_t multiz_out_str(FILE *stream, int base, multiz ep) { + switch(ep->type) { + case T_MPZ: + return mpz_out_str(stream, base, ep->z); + default: + PBC_ASSERT(T_ARR == ep->type, "no such type"); + fputc('[', stream); + size_t res = 1; + int n = darray_count(ep->a); + int i; + for(i = 0; i < n; i++) { + if (i) res += 2, fputs(", ", stream); + res += multiz_out_str(stream, base, darray_at(ep->a, i)); + } + fputc(']', stream); + res++; + return res; + } +} + +static size_t f_out_str(FILE *stream, int base, element_ptr e) { + return multiz_out_str(stream, base, e->data); +} + +void multiz_to_mpz(mpz_ptr z, multiz ep) { + while(ep->type == T_ARR) ep = darray_at(ep->a, 0); + PBC_ASSERT(T_MPZ == ep->type, "no such type"); + mpz_set(z, ep->z); +} + +static void f_to_mpz(mpz_ptr z, element_ptr a) { + multiz_to_mpz(z, a->data); +} + +static int multiz_sgn(multiz ep) { + while(ep->type == T_ARR) ep = darray_at(ep->a, 0); + PBC_ASSERT(T_MPZ == ep->type, "no such type"); + return mpz_sgn(ep->z); +} + +static int f_sgn(element_ptr a) { + return multiz_sgn(a->data); +} + +static void add_to_x(void *data, + multiz x, + void (*fun)(mpz_t, const mpz_t, void *scope_ptr), + void *scope_ptr); + +static multiz multiz_new_unary(const multiz y, + void (*fun)(mpz_t, const mpz_t, void *scope_ptr), void *scope_ptr) { + multiz x = pbc_malloc(sizeof(*x)); + switch(y->type) { + case T_MPZ: + x->type = T_MPZ; + mpz_init(x->z); + fun(x->z, y->z, scope_ptr); + break; + default: + PBC_ASSERT(T_ARR == ep->type, "no such type"); + x->type = T_ARR; + darray_init(x->a); + darray_forall4(y->a, + (void(*)(void*,void*,void*,void*))add_to_x, + x, + fun, + scope_ptr); + break; + } + return x; +} + +static void add_to_x(void *data, + multiz x, + void (*fun)(mpz_t, const mpz_t, void *scope_ptr), + void *scope_ptr) { + darray_append(x->a, multiz_new_unary(data, fun, scope_ptr)); +} + +static void mpzset(mpz_t dst, const mpz_t src, void *scope_ptr) { + UNUSED_VAR(scope_ptr); + mpz_set(dst, src); +} + +static multiz multiz_clone(multiz y) { + return multiz_new_unary(y, (void(*)(mpz_t, const mpz_t, void *))mpzset, NULL); +} + +static multiz multiz_new_bin(const multiz a, const multiz b, + void (*fun)(mpz_t, const mpz_t, const mpz_t)) { + if (T_MPZ == a->type) { + if (T_MPZ == b->type) { + multiz x = multiz_new(); + fun(x->z, a->z, b->z); + return x; + } else { + multiz x = multiz_clone(b); + multiz z = x; + PBC_ASSERT(T_ARR == z->type, "no such type"); + while(z->type == T_ARR) z = darray_at(z->a, 0); + fun(z->z, a->z, z->z); + return x; + } + } else { + PBC_ASSERT(T_ARR == a->type, "no such type"); + if (T_MPZ == b->type) { + multiz x = multiz_clone(a); + multiz z = x; + PBC_ASSERT(T_ARR == z->type, "no such type"); + while(z->type == T_ARR) z = darray_at(z->a, 0); + fun(z->z, b->z, z->z); + return x; + } else { + PBC_ASSERT(T_ARR == b->type, "no such type"); + int m = darray_count(a->a); + int n = darray_count(b->a); + int min = m < n ? m : n; + int max = m > n ? m : n; + multiz x = multiz_new_empty_list(); + int i; + for(i = 0; i < min; i++) { + multiz z = multiz_new_bin(darray_at(a->a, i), darray_at(b->a, i), fun); + darray_append(x->a, z); + } + multiz zero = multiz_new(); + for(; i < max; i++) { + multiz z = multiz_new_bin(m > n ? darray_at(a->a, i) : zero, + n > m ? darray_at(b->a, i) : zero, + fun); + darray_append(x->a, z); + } + multiz_free(zero); + return x; + } + } +} +static multiz multiz_new_add(const multiz a, const multiz b) { + return multiz_new_bin(a, b, mpz_add); +} + +static void f_add(element_ptr n, element_ptr a, element_ptr b) { + multiz delme = n->data; + n->data = multiz_new_add(a->data, b->data); + multiz_free(delme); +} + +static multiz multiz_new_sub(const multiz a, const multiz b) { + return multiz_new_bin(a, b, mpz_sub); +} +static void f_sub(element_ptr n, element_ptr a, element_ptr b) { + multiz delme = n->data; + n->data = multiz_new_sub(a->data, b->data); + multiz_free(delme); +} + +static void mpzmul(mpz_t x, const mpz_t y, const mpz_t z) { + mpz_mul(x, y, z); +} + +static multiz multiz_new_mul(const multiz a, const multiz b) { + if (T_MPZ == a->type) { + // Multiply each coefficient of b by a->z. + return multiz_new_unary(b, (void(*)(mpz_t, const mpz_t, void *))mpzmul, a->z); + } else { + PBC_ASSERT(T_ARR == a->type, "no such type"); + if (T_MPZ == b->type) { + // Multiply each coefficient of a by b->z. + return multiz_new_unary(a, (void(*)(mpz_t, const mpz_t, void *))mpzmul, b->z); + } else { + PBC_ASSERT(T_ARR == b->type, "no such type"); + int m = darray_count(a->a); + int n = darray_count(b->a); + int max = m + n - 1; + multiz x = multiz_new_empty_list(); + int i; + multiz zero = multiz_new(); + for(i = 0; i < max; i++) { + multiz z = multiz_new(); + int j; + for (j = 0; j <= i; j++) { + multiz y = multiz_new_mul(j < m ? darray_at(a->a, j) : zero, + i - j < n ? darray_at(b->a, i - j) : zero); + multiz t = multiz_new_add(z, y); + multiz_free(y); + multiz_free(z); + z = t; + } + darray_append(x->a, z); + } + multiz_free(zero); + return x; + } + } +} +static void f_mul(element_ptr n, element_ptr a, element_ptr b) { + multiz delme = n->data; + n->data = multiz_new_mul(a->data, b->data); + multiz_free(delme); +} + +static void f_mul_mpz(element_ptr n, element_ptr a, mpz_ptr z) { + multiz delme = n->data; + n->data = multiz_new_unary(a->data, (void(*)(mpz_t, const mpz_t, void *))mpzmul, z); + multiz_free(delme); +} + +static void mulsi(mpz_t x, const mpz_t y, signed long *i) { + mpz_mul_si(x, y, *i); +} + +static void f_mul_si(element_ptr n, element_ptr a, signed long int z) { + multiz delme = n->data; + n->data = multiz_new_unary(a->data, (void(*)(mpz_t, const mpz_t, void *))mulsi, &z); + multiz_free(delme); +} + +static void mpzneg(mpz_t dst, const mpz_t src, void *scope_ptr) { + UNUSED_VAR(scope_ptr); + mpz_neg(dst, src); +} + +static multiz multiz_new_neg(multiz z) { + return multiz_new_unary(z, (void(*)(mpz_t, const mpz_t, void *))mpzneg, NULL); +} + +static void f_set(element_ptr n, element_ptr a) { + multiz delme = n->data; + n->data = multiz_clone(a->data); + multiz_free(delme); +} + +static void f_neg(element_ptr n, element_ptr a) { + multiz delme = n->data; + n->data = multiz_new_neg(a->data); + multiz_free(delme); +} + +static void f_div(element_ptr c, element_ptr a, element_ptr b) { + mpz_t d; + mpz_init(d); + element_to_mpz(d, b); + multiz delme = c->data; + c->data = multiz_new_unary(a->data, (void(*)(mpz_t, const mpz_t, void *))mpz_tdiv_q, d); + mpz_clear(d); + multiz_free(delme); +} + +// Doesn't make sense if order is infinite. +static void f_random(element_ptr n) { + multiz delme = n->data; + f_init(n); + multiz_free(delme); +} + +static void f_from_hash(element_ptr n, void *data, int len) { + mpz_t z; + mpz_init(z); + mpz_import(z, len, -1, 1, -1, 0, data); + f_set_mpz(n, z); + mpz_clear(z); +} + +static int f_is1(element_ptr n) { + multiz ep = n->data; + return ep->type == T_MPZ && !mpz_cmp_ui(ep->z, 1); +} + +int multiz_is0(multiz m) { + return m->type == T_MPZ && mpz_is0(m->z); +} + +static int f_is0(element_ptr n) { + return multiz_is0(n->data); +} + +static int f_item_count(element_ptr e) { + multiz z = e->data; + if (T_MPZ == z->type) return 0; + return darray_count(z->a); +} + +// TODO: Redesign multiz so this doesn't leak. +static element_ptr f_item(element_ptr e, int i) { + multiz z = e->data; + if (T_MPZ == z->type) return NULL; + element_ptr r = malloc(sizeof(*r)); + r->field = e->field; + r->data = darray_at(z->a, i); + return r; +} + +// Usual meaning when both are integers. +// Otherwise, compare coefficients. +static int multiz_cmp(multiz a, multiz b) { + if (T_MPZ == a->type) { + if (T_MPZ == b->type) { + // Simplest case: both are integers. + return mpz_cmp(a->z, b->z); + } + // Leading coefficient of b. + while(T_ARR == b->type) b = darray_last(b->a); + PBC_ASSERT(T_MPZ == b->type, "no such type"); + return -mpz_sgn(b->z); + } + PBC_ASSERT(T_ARR == a->type, "no such type"); + if (T_MPZ == b->type) { + // Leading coefficient of a. + while(T_ARR == a->type) a = darray_last(a->a); + PBC_ASSERT(T_MPZ == a->type, "no such type"); + return mpz_sgn(a->z); + } + PBC_ASSERT(T_ARR == b->type, "no such type"); + int m = darray_count(a->a); + int n = darray_count(b->a); + if (m > n) { + // Leading coefficient of a. + while(T_ARR == a->type) a = darray_last(a->a); + PBC_ASSERT(T_MPZ == a->type, "no such type"); + return mpz_sgn(a->z); + } + if (n > m) { + // Leading coefficient of b. + while(T_ARR == b->type) b = darray_last(b->a); + PBC_ASSERT(T_MPZ == b->type, "no such type"); + return -mpz_sgn(b->z); + } + for(n--; n >= 0; n--) { + int i = multiz_cmp(darray_at(a->a, n), darray_at(b->a, n)); + if (i) return i; + } + return 0; +} +static int f_cmp(element_ptr x, element_ptr y) { + return multiz_cmp(x->data, y->data); +} + +static void f_field_clear(field_t f) { UNUSED_VAR (f); } + +// OpenSSL convention: +// 4 bytes containing length +// followed by number in big-endian, most-significant bit set if negative +// (prepending null byte if necessary) +// Positive numbers also the same as mpz_out_raw. +static int z_to_bytes(unsigned char *data, element_t e) { + mpz_ptr z = e->data; + size_t msb = mpz_sizeinbase(z, 2); + size_t n = 4; + size_t i; + + if (!(msb % 8)) { + data[4] = 0; + n++; + } + if (mpz_sgn(z) < 0) { + mpz_export(data + n, NULL, 1, 1, 1, 0, z); + data[4] |= 128; + } else { + mpz_export(data + n, NULL, 1, 1, 1, 0, z); + } + n += (msb + 7) / 8 - 4; + for (i=0; i<4; i++) { + data[i] = (n >> 8 * (3 - i)); + } + n += 4; + + return n; +} + +static int z_from_bytes(element_t e, unsigned char *data) { + unsigned char *ptr; + size_t i, n; + mpz_ptr z = e->data; + mpz_t z1; + int neg = 0; + + mpz_init(z1); + mpz_set_ui(z, 0); + + ptr = data; + n = 0; + for (i=0; i<4; i++) { + n += ((unsigned int) *ptr) << 8 * (3 - i); + ptr++; + } + if (data[4] & 128) { + neg = 1; + data[4] &= 127; + } + for (i=0; i<n; i++) { + mpz_set_ui(z1, *ptr); + mpz_mul_2exp(z1, z1, 8 * (n - 1 - i)); + ptr++; + mpz_add(z, z, z1); + } + mpz_clear(z1); + if (neg) mpz_neg(z, z); + return n; +} + +static int z_length_in_bytes(element_ptr a) { + return (mpz_sizeinbase(a->data, 2) + 7) / 8 + 4; +} + +static void f_out_info(FILE *out, field_ptr f) { + UNUSED_VAR(f); + fprintf(out, "Z multinomials"); +} + +static int f_set_str(element_ptr e, const char *s, int base) { + // TODO: Square brackets. + mpz_t z; + mpz_init(z); + int result = pbc_mpz_set_str(z, s, base); + f_set_mpz(e, z); + mpz_clear(z); + return result; +} + +static void f_set_multiz(element_ptr e, multiz m) { + multiz delme = e->data; + e->data = multiz_clone(m); + multiz_free(delme); +} + +void field_init_multiz(field_ptr f) { + field_init(f); + f->init = f_init; + f->clear = f_clear; + f->set_si = f_set_si; + f->set_mpz = f_set_mpz; + f->set_multiz = f_set_multiz; + f->set_str = f_set_str; + f->out_str = f_out_str; + f->sign = f_sgn; + f->add = f_add; + f->sub = f_sub; + f->set = f_set; + f->mul = f_mul; + f->mul_mpz = f_mul_mpz; + f->mul_si = f_mul_si; + f->neg = f_neg; + f->cmp = f_cmp; + f->div = f_div; + f->random = f_random; + f->from_hash = f_from_hash; + f->is1 = f_is1; + f->is0 = f_is0; + f->set0 = f_set0; + f->set1 = f_set1; + f->field_clear = f_field_clear; + f->to_bytes = z_to_bytes; + f->from_bytes = z_from_bytes; + f->to_mpz = f_to_mpz; + f->length_in_bytes = z_length_in_bytes; + f->item = f_item; + f->item_count = f_item_count; + + f->out_info = f_out_info; + + mpz_set_ui(f->order, 0); + f->data = NULL; + f->fixed_length_in_bytes = -1; +} + +int multiz_is_z(multiz m) { + return T_MPZ == m->type; +} + +int multiz_count(multiz m) { + if (T_ARR != m->type) return -1; + return darray_count(m->a); +} + +multiz multiz_at(multiz m, int i) { + PBC_ASSERT(T_ARR == m->type, "wrong type"); + PBC_ASSERT(darray_count(m->a) > i, "out of bounds"); + return darray_at(m->a, i); +} diff --git a/moon-abe/pbc-0.5.14/arith/naivefp.c b/moon-abe/pbc-0.5.14/arith/naivefp.c new file mode 100644 index 00000000..ceb1b7fb --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/naivefp.c @@ -0,0 +1,270 @@ +// Naive implementation of F_p. +// Little more than wrappers around GMP mpz functions. + +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <string.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_random.h" +#include "pbc_fp.h" +#include "pbc_memory.h" + +static void zp_init(element_ptr e) { + e->data = pbc_malloc(sizeof(mpz_t)); + mpz_init(e->data); +} + +static void zp_clear(element_ptr e) { + mpz_clear(e->data); + pbc_free(e->data); +} + +static void zp_set_si(element_ptr e, signed long int op) { + mpz_set_si(e->data, op); + mpz_mod(e->data, e->data, e->field->order); +} + +static void zp_set_mpz(element_ptr e, mpz_ptr z) { + mpz_set(e->data, z); + mpz_mod(e->data, e->data, e->field->order); +} + +static void zp_set0(element_ptr e) { + mpz_set_si(e->data, 0); +} + +static void zp_set1(element_ptr e) { + mpz_set_si(e->data, 1); +} + +static size_t zp_out_str(FILE * stream, int base, element_ptr e) { + return mpz_out_str(stream, base, e->data); +} + +static int zp_snprint(char *s, size_t n, element_ptr e) { + return gmp_snprintf(s, n, "%Zd", e->data); +} + +static int zp_set_str(element_ptr e, const char *s, int base) { + int result = pbc_mpz_set_str(e->data, s, base); + mpz_mod(e->data, e->data, e->field->order); + return result; +} + +static int zp_sgn_odd(element_ptr a) { + mpz_ptr z = a->data; + + return mpz_is0(z) ? 0 : (mpz_odd_p(z) ? 1 : -1); +} + +static int zp_sgn_even(element_ptr a) { + mpz_t z; + mpz_init(z); + int res; + + if (mpz_is0(a->data)) { + res = 0; + } else { + mpz_add(z, a->data, a->data); + res = mpz_cmp(z, a->field->order); + } + mpz_clear(z); + return res; +} + +static void zp_add(element_ptr n, element_ptr a, element_ptr b) { + /* + mpz_add(n->data, a->data, b->data); + mpz_mod(n->data, n->data, n->field->order); + */ + //This seems faster: + mpz_add(n->data, a->data, b->data); + if (mpz_cmp(n->data, n->field->order) >= 0) { + mpz_sub(n->data, n->data, n->field->order); + } +} + +static void zp_sub(element_ptr n, element_ptr a, element_ptr b) { + //mpz_sub(n->data, a->data, b->data); + //mpz_mod(n->data, n->data, n->field->order); + mpz_sub(n->data, a->data, b->data); + if (mpz_sgn((mpz_ptr) n->data) < 0) { + mpz_add(n->data, n->data, n->field->order); + } +} + +static void zp_square(element_ptr c, element_ptr a) { + /* + mpz_mul(c->data, a->data, a->data); + mpz_mod(c->data, c->data, c->field->order); + */ + mpz_powm_ui(c->data, a->data, 2, c->field->order); + + /* + const mpz_ptr prime = c->field->order; + const size_t t = prime->_mp_size; + const mpz_ptr p = a->data; + const mpz_ptr r = c->data; + mp_limb_t tmp[2 * t]; + mp_limb_t qp[t + 1]; + + mpn_mul_n(tmp, p->_mp_d, p->_mp_d, t); + + mpn_tdiv_qr(qp, r->_mp_d, 0, tmp, 2 * t, prime->_mp_d, t); + */ +} + +static void zp_double(element_ptr n, element_ptr a) { + //mpz_add(n->data, a->data, a->data); + mpz_mul_2exp(n->data, a->data, 1); + if (mpz_cmp(n->data, n->field->order) >= 0) { + mpz_sub(n->data, n->data, n->field->order); + } +} + +static void zp_halve(element_ptr n, element_ptr a) { + mpz_ptr z = a->data; + if (mpz_odd_p(z)) { + mpz_add(n->data, z, a->field->order); + mpz_tdiv_q_2exp(n->data, n->data, 1); + } else { + mpz_tdiv_q_2exp(n->data, a->data, 1); + } +} + +static void zp_mul(element_ptr n, element_ptr a, element_ptr b) { + mpz_mul(n->data, a->data, b->data); + mpz_mod(n->data, n->data, n->field->order); +} + +static void zp_mul_mpz(element_ptr n, element_ptr a, mpz_ptr z) { + mpz_mul(n->data, a->data, z); + mpz_mod(n->data, n->data, n->field->order); +} + +static void zp_mul_si(element_ptr n, element_ptr a, signed long int z) { + mpz_mul_si(n->data, a->data, z); + mpz_mod(n->data, n->data, n->field->order); +} + +static void zp_pow_mpz(element_ptr n, element_ptr a, mpz_ptr z) { + mpz_powm(n->data, a->data, z, n->field->order); +} + +static void zp_set(element_ptr n, element_ptr a) { + mpz_set(n->data, a->data); +} + +static void zp_neg(element_ptr n, element_ptr a) { + if (mpz_is0(a->data)) { + mpz_set_ui(n->data, 0); + } else { + mpz_sub(n->data, n->field->order, a->data); + } +} + +static void zp_invert(element_ptr n, element_ptr a) { + mpz_invert(n->data, a->data, n->field->order); +} + +static void zp_random(element_ptr n) { + pbc_mpz_random(n->data, n->field->order); +} + +static void zp_from_hash(element_ptr n, void *data, int len) { + pbc_mpz_from_hash(n->data, n->field->order, data, len); +} + +static int zp_is1(element_ptr n) { + return !mpz_cmp_ui((mpz_ptr) n->data, 1); +} + +static int zp_is0(element_ptr n) { + return mpz_is0(n->data); +} + +static int zp_cmp(element_ptr a, element_ptr b) { + return mpz_cmp((mpz_ptr) a->data, (mpz_ptr) b->data); +} + +static int zp_is_sqr(element_ptr a) { + //0 is a square + if (mpz_is0(a->data)) return 1; + return mpz_legendre(a->data, a->field->order) == 1; +} + +static void zp_field_clear(field_t f) { + UNUSED_VAR(f); +} + +static int zp_to_bytes(unsigned char *data, element_t e) { + int n; + + n = e->field->fixed_length_in_bytes; + + pbc_mpz_out_raw_n(data, n, e->data); + return n; +} + +static int zp_from_bytes(element_t e, unsigned char *data) { + mpz_ptr z = e->data; + int n; + n = e->field->fixed_length_in_bytes; + mpz_import(z, n, 1, 1, 1, 0, data); + return n; +} + +static void zp_to_mpz(mpz_ptr z, element_ptr a) { + mpz_set(z, a->data); +} + +static void zp_out_info(FILE * out, field_ptr f) { + element_fprintf(out, "GF(%Zd), GMP wrapped", f->order); +} + +void field_init_naive_fp(field_ptr f, mpz_t prime) { + field_init(f); + f->init = zp_init; + f->clear = zp_clear; + f->set_si = zp_set_si; + f->set_mpz = zp_set_mpz; + f->out_str = zp_out_str; + f->snprint = zp_snprint; + f->set_str = zp_set_str; + f->sign = mpz_odd_p(prime) ? zp_sgn_odd : zp_sgn_even; + f->add = zp_add; + f->sub = zp_sub; + f->set = zp_set; + f->square = zp_square; + f->doub = zp_double; + f->halve = zp_halve; + f->mul = zp_mul; + f->mul_mpz = zp_mul_mpz; + f->mul_si = zp_mul_si; + f->pow_mpz = zp_pow_mpz; + f->neg = zp_neg; + f->cmp = zp_cmp; + f->invert = zp_invert; + f->random = zp_random; + f->from_hash = zp_from_hash; + f->is1 = zp_is1; + f->is0 = zp_is0; + f->set0 = zp_set0; + f->set1 = zp_set1; + f->is_sqr = zp_is_sqr; + f->sqrt = element_tonelli; + f->field_clear = zp_field_clear; + f->to_bytes = zp_to_bytes; + f->from_bytes = zp_from_bytes; + f->to_mpz = zp_to_mpz; + + f->out_info = zp_out_info; + + mpz_set(f->order, prime); + f->data = NULL; + f->fixed_length_in_bytes = (mpz_sizeinbase(prime, 2) + 7) / 8; +} diff --git a/moon-abe/pbc-0.5.14/arith/poly.c b/moon-abe/pbc-0.5.14/arith/poly.c new file mode 100644 index 00000000..bd2dad33 --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/poly.c @@ -0,0 +1,1724 @@ +#include <ctype.h> +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_multiz.h" +#include "pbc_poly.h" +#include "pbc_memory.h" +#include "misc/darray.h" + +// == Polynomial rings == +// +// Per-field data: +typedef struct { + field_ptr field; // Ring where coefficients live. + fieldmap mapbase; // Map element from underlying field to constant term. +} *pfptr; + +// Per-element data: +//TODO: Would we ever need any field besides coeff? +typedef struct { + // The coefficients are held in a darray which is resized as needed. + // The last array entry represents the leading coefficient and should be + // nonzero. An empty darray represents 0. + darray_t coeff; +} *peptr; + +// == Polynomial modulo rings == +// +// Per-field data: +typedef struct { + field_ptr field; // Base field. + fieldmap mapbase; // Similar to mapbase above. + int n; // Degree of extension. + element_t poly; // Polynomial of degree n. + element_t *xpwr; // x^n,...,x^{2n-2} mod poly +} *mfptr; +// Per-element data: just a pointer to an array of element_t. This array always +// has size n. + +// Add or remove coefficients until there are exactly n of them. Any new +// coefficients are initialized to zero, which violates the invariant that the +// leading coefficient must be nonzero. Thus routines calling this function +// must check for this and fix the polynomial if necessary, e.g. by calling +// poly_remove_leading_zeroes(). +static void poly_alloc(element_ptr e, int n) { + pfptr pdp = e->field->data; + peptr p = e->data; + element_ptr e0; + int k = p->coeff->count; + while (k < n) { + e0 = pbc_malloc(sizeof(element_t)); + element_init(e0, pdp->field); + darray_append(p->coeff, e0); + k++; + } + while (k > n) { + k--; + e0 = darray_at(p->coeff, k); + element_clear(e0); + pbc_free(e0); + darray_remove_last(p->coeff); + } +} + +static void poly_init(element_ptr e) { + peptr p = e->data = pbc_malloc(sizeof(*p)); + darray_init(p->coeff); +} + +static void poly_clear(element_ptr e) { + peptr p = e->data; + + poly_alloc(e, 0); + darray_clear(p->coeff); + pbc_free(e->data); +} + +// Some operations may zero a leading coefficient, which will cause other +// routines to fail. After such an operation, this function should be called, +// as it strips all leading zero coefficients and frees the memory they +// occupied, reestablishing the guarantee that the last element of the array +// is nonzero. +static void poly_remove_leading_zeroes(element_ptr e) { + peptr p = e->data; + int n = p->coeff->count - 1; + while (n >= 0) { + element_ptr e0 = p->coeff->item[n]; + if (!element_is0(e0)) return; + element_clear(e0); + pbc_free(e0); + darray_remove_last(p->coeff); + n--; + } +} + +static void poly_set0(element_ptr e) { + poly_alloc(e, 0); +} + +static void poly_set1(element_ptr e) { + peptr p = e->data; + element_ptr e0; + + poly_alloc(e, 1); + e0 = p->coeff->item[0]; + element_set1(e0); +} + +static int poly_is0(element_ptr e) { + peptr p = e->data; + return !p->coeff->count; +} + +static int poly_is1(element_ptr e) { + peptr p = e->data; + if (p->coeff->count == 1) { + return element_is1(p->coeff->item[0]); + } + return 0; +} + +static void poly_set_si(element_ptr e, signed long int op) { + peptr p = e->data; + element_ptr e0; + + poly_alloc(e, 1); + e0 = p->coeff->item[0]; + element_set_si(e0, op); + poly_remove_leading_zeroes(e); +} + +static void poly_set_mpz(element_ptr e, mpz_ptr op) { + peptr p = e->data; + + poly_alloc(e, 1); + element_set_mpz(p->coeff->item[0], op); + poly_remove_leading_zeroes(e); +} + +static void poly_set_multiz(element_ptr e, multiz op) { + if (multiz_is_z(op)) { + // TODO: Remove unnecessary copy. + mpz_t z; + mpz_init(z); + multiz_to_mpz(z, op); + poly_set_mpz(e, z); + mpz_clear(z); + return; + } + peptr p = e->data; + int n = multiz_count(op); + poly_alloc(e, n); + int i; + for(i = 0; i < n; i++) { + element_set_multiz(p->coeff->item[i], multiz_at(op, i)); + } + poly_remove_leading_zeroes(e); +} + +static void poly_set(element_ptr dst, element_ptr src) { + peptr psrc = src->data; + peptr pdst = dst->data; + int i; + + poly_alloc(dst, psrc->coeff->count); + for (i=0; i<psrc->coeff->count; i++) { + element_set(pdst->coeff->item[i], psrc->coeff->item[i]); + } +} + +static int poly_coeff_count(element_ptr e) { + return ((peptr) e->data)->coeff->count; +} + +static element_ptr poly_coeff(element_ptr e, int n) { + peptr ep = e->data; + PBC_ASSERT(n < poly_coeff_count(e), "coefficient out of range"); + return (element_ptr) ep->coeff->item[n]; +} + +static int poly_sgn(element_ptr f) { + int res = 0; + int i; + int n = poly_coeff_count(f); + for (i=0; i<n; i++) { + res = element_sgn(poly_coeff(f, i)); + if (res) break; + } + return res; +} + +static void poly_add(element_ptr sum, element_ptr f, element_ptr g) { + int i, n, n1; + element_ptr big; + + n = poly_coeff_count(f); + n1 = poly_coeff_count(g); + if (n > n1) { + big = f; + n = n1; + n1 = poly_coeff_count(f); + } else { + big = g; + } + + poly_alloc(sum, n1); + for (i=0; i<n; i++) { + element_add(poly_coeff(sum, i), poly_coeff(f, i), poly_coeff(g, i)); + } + for (; i<n1; i++) { + element_set(poly_coeff(sum, i), poly_coeff(big, i)); + } + poly_remove_leading_zeroes(sum); +} + +static void poly_sub(element_ptr diff, element_ptr f, element_ptr g) { + int i, n, n1; + element_ptr big; + + n = poly_coeff_count(f); + n1 = poly_coeff_count(g); + if (n > n1) { + big = f; + n = n1; + n1 = poly_coeff_count(f); + } else { + big = g; + } + + poly_alloc(diff, n1); + for (i=0; i<n; i++) { + element_sub(poly_coeff(diff, i), poly_coeff(f, i), poly_coeff(g, i)); + } + for (; i<n1; i++) { + if (big == f) { + element_set(poly_coeff(diff, i), poly_coeff(big, i)); + } else { + element_neg(poly_coeff(diff, i), poly_coeff(big, i)); + } + } + poly_remove_leading_zeroes(diff); +} + +static void poly_neg(element_ptr f, element_ptr g) { + peptr pf = f->data; + peptr pg = g->data; + int i, n; + + n = pg->coeff->count; + poly_alloc(f, n); + for (i=0; i<n; i++) { + element_neg(pf->coeff->item[i], pg->coeff->item[i]); + } +} + +static void poly_double(element_ptr f, element_ptr g) { + peptr pf = f->data; + peptr pg = g->data; + int i, n; + + n = pg->coeff->count; + poly_alloc(f, n); + for (i=0; i<n; i++) { + element_double(pf->coeff->item[i], pg->coeff->item[i]); + } +} + +static void poly_mul_mpz(element_ptr f, element_ptr g, mpz_ptr z) { + peptr pf = f->data; + peptr pg = g->data; + int i, n; + + n = pg->coeff->count; + poly_alloc(f, n); + for (i=0; i<n; i++) { + element_mul_mpz(pf->coeff->item[i], pg->coeff->item[i], z); + } +} + +static void poly_mul_si(element_ptr f, element_ptr g, signed long int z) { + peptr pf = f->data; + peptr pg = g->data; + int i, n; + + n = pg->coeff->count; + poly_alloc(f, n); + for (i=0; i<n; i++) { + element_mul_si(pf->coeff->item[i], pg->coeff->item[i], z); + } +} + +static void poly_mul(element_ptr r, element_ptr f, element_ptr g) { + peptr pprod; + peptr pf = f->data; + peptr pg = g->data; + pfptr pdp = r->field->data; + int fcount = pf->coeff->count; + int gcount = pg->coeff->count; + int i, j, n; + element_t prod; + element_t e0; + + if (!fcount || !gcount) { + element_set0(r); + return; + } + element_init(prod, r->field); + pprod = prod->data; + n = fcount + gcount - 1; + poly_alloc(prod, n); + element_init(e0, pdp->field); + for (i=0; i<n; i++) { + element_ptr x = pprod->coeff->item[i]; + element_set0(x); + for (j=0; j<=i; j++) { + if (j < fcount && i - j < gcount) { + element_mul(e0, pf->coeff->item[j], pg->coeff->item[i - j]); + element_add(x, x, e0); + } + } + } + poly_remove_leading_zeroes(prod); + element_set(r, prod); + element_clear(e0); + element_clear(prod); +} + +static void polymod_random(element_ptr e) { + element_t *coeff = e->data; + int i, n = polymod_field_degree(e->field); + + for (i=0; i<n; i++) { + element_random(coeff[i]); + } +} + +static void polymod_from_hash(element_ptr e, void *data, int len) { + // TODO: Improve this. + element_t *coeff = e->data; + int i, n = polymod_field_degree(e->field); + for (i=0; i<n; i++) { + element_from_hash(coeff[i], data, len); + } +} + +static size_t poly_out_str(FILE *stream, int base, element_ptr e) { + int i; + int n = poly_coeff_count(e); + size_t result = 2, status; + + /* + if (!n) { + if (EOF == fputs("[0]", stream)) return 0; + return 3; + } + */ + if (EOF == fputc('[', stream)) return 0; + for (i=0; i<n; i++) { + if (i) { + if (EOF == fputs(", ", stream)) return 0; + result += 2; + } + status = element_out_str(stream, base, poly_coeff(e, i)); + if (!status) return 0; + result += status; + } + if (EOF == fputc(']', stream)) return 0; + return result; +} + +static int poly_snprint(char *s, size_t size, element_ptr e) { + int i; + int n = poly_coeff_count(e); + size_t result = 0, left; + int status; + + #define clip_sub() { \ + result += status; \ + left = result >= size ? 0 : size - result; \ + } + + status = snprintf(s, size, "["); + if (status < 0) return status; + clip_sub(); + + for (i=0; i<n; i++) { + if (i) { + status = snprintf(s + result, left, ", "); + if (status < 0) return status; + clip_sub(); + } + status = element_snprint(s + result, left, poly_coeff(e, i)); + if (status < 0) return status; + clip_sub(); + } + status = snprintf(s + result, left, "]"); + if (status < 0) return status; + return result + status; + #undef clip_sub +} + +static void poly_div(element_ptr quot, element_ptr rem, + element_ptr a, element_ptr b) { + peptr pq, pr; + pfptr pdp = a->field->data; + element_t q, r; + element_t binv, e0; + element_ptr qe; + int m, n; + int i, k; + + if (element_is0(b)) pbc_die("division by zero"); + n = poly_degree(b); + m = poly_degree(a); + if (n > m) { + element_set(rem, a); + element_set0(quot); + return; + } + element_init(r, a->field); + element_init(q, a->field); + element_init(binv, pdp->field); + element_init(e0, pdp->field); + pq = q->data; + pr = r->data; + element_set(r, a); + k = m - n; + poly_alloc(q, k + 1); + element_invert(binv, poly_coeff(b, n)); + while (k >= 0) { + qe = pq->coeff->item[k]; + element_mul(qe, binv, pr->coeff->item[m]); + for (i=0; i<=n; i++) { + element_mul(e0, qe, poly_coeff(b, i)); + element_sub(pr->coeff->item[i + k], pr->coeff->item[i + k], e0); + } + k--; + m--; + } + poly_remove_leading_zeroes(r); + element_set(quot, q); + element_set(rem, r); + + element_clear(q); + element_clear(r); + element_clear(e0); + element_clear(binv); +} + +static void poly_invert(element_ptr res, element_ptr f, element_ptr m) { + element_t q, r0, r1, r2; + element_t b0, b1, b2; + element_t inv; + + element_init(b0, res->field); + element_init(b1, res->field); + element_init(b2, res->field); + element_init(q, res->field); + element_init(r0, res->field); + element_init(r1, res->field); + element_init(r2, res->field); + element_init(inv, poly_base_field(res)); + element_set0(b0); + element_set1(b1); + element_set(r0, m); + element_set(r1, f); + + for (;;) { + poly_div(q, r2, r0, r1); + if (element_is0(r2)) break; + element_mul(b2, b1, q); + element_sub(b2, b0, b2); + element_set(b0, b1); + element_set(b1, b2); + element_set(r0, r1); + element_set(r1, r2); + } + element_invert(inv, poly_coeff(r1, 0)); + poly_const_mul(res, inv, b1); + element_clear(inv); + element_clear(q); + element_clear(r0); + element_clear(r1); + element_clear(r2); + element_clear(b0); + element_clear(b1); + element_clear(b2); +} + +static void poly_to_polymod_truncate(element_ptr e, element_ptr f) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int i; + int n; + n = poly_coeff_count(f); + if (n > p->n) n = p->n; + + for (i=0; i<n; i++) { + element_set(coeff[i], poly_coeff(f, i)); + } + for (; i<p->n; i++) { + element_set0(coeff[i]); + } +} + +static void polymod_to_poly(element_ptr f, element_ptr e) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int i, n = p->n; + poly_alloc(f, n); + for (i=0; i<n; i++) { + element_set(poly_coeff(f, i), coeff[i]); + } + poly_remove_leading_zeroes(f); +} + +static void polymod_invert(element_ptr r, element_ptr e) { + mfptr p = r->field->data; + element_ptr minpoly = p->poly; + element_t f, r1; + + element_init(f, minpoly->field); + element_init(r1, minpoly->field); + polymod_to_poly(f, e); + + poly_invert(r1, f, p->poly); + + poly_to_polymod_truncate(r, r1); + + element_clear(f); + element_clear(r1); +} + +static int poly_cmp(element_ptr f, element_ptr g) { + int i; + int n = poly_coeff_count(f); + int n1 = poly_coeff_count(g); + if (n != n1) return 1; + for (i=0; i<n; i++) { + if (element_cmp(poly_coeff(f, i), poly_coeff(g, i))) return 1; + } + return 0; +} + +static void field_clear_poly(field_ptr f) { + pfptr p = f->data; + pbc_free(p); +} + +// 2 bytes hold the number of terms, then the terms follow. +// Bad for sparse polynomials. +static int poly_length_in_bytes(element_t p) { + int count = poly_coeff_count(p); + int result = 2; + int i; + for (i=0; i<count; i++) { + result += element_length_in_bytes(poly_coeff(p, i)); + } + return result; +} + +static int poly_to_bytes(unsigned char *buf, element_t p) { + int count = poly_coeff_count(p); + int result = 2; + int i; + buf[0] = (unsigned char) count; + buf[1] = (unsigned char) (count >> 8); + for (i=0; i<count; i++) { + result += element_to_bytes(&buf[result], poly_coeff(p, i)); + } + return result; +} + +static int poly_from_bytes(element_t p, unsigned char *buf) { + int result = 2; + int count = buf[0] + buf[1] * 256; + int i; + poly_alloc(p, count); + for (i=0; i<count; i++) { + result += element_from_bytes(poly_coeff(p, i), &buf[result]); + } + return result; +} + +// Is this useful? This returns to_mpz(constant term). +static void poly_to_mpz(mpz_t z, element_ptr e) { + if (!poly_coeff_count(e)) { + mpz_set_ui(z, 0); + } else { + element_to_mpz(z, poly_coeff(e, 0)); + } +} + +static void poly_out_info(FILE *str, field_ptr f) { + pfptr p = f->data; + fprintf(str, "Polynomial ring over "); + field_out_info(str, p->field); +} + +static void field_clear_polymod(field_ptr f) { + mfptr p = f->data; + int i, n = p->n; + + for (i=0; i<n; i++) { + element_clear(p->xpwr[i]); + } + pbc_free(p->xpwr); + + element_clear(p->poly); + pbc_free(f->data); +} + +static int polymod_is_sqr(element_ptr e) { + int res; + mpz_t z; + element_t e0; + + element_init(e0, e->field); + mpz_init(z); + mpz_sub_ui(z, e->field->order, 1); + mpz_divexact_ui(z, z, 2); + + element_pow_mpz(e0, e, z); + res = element_is1(e0); + element_clear(e0); + mpz_clear(z); + return res; +} + +// Find a square root in a polynomial modulo ring using Cantor-Zassenhaus aka +// Legendre's method. +static void polymod_sqrt(element_ptr res, element_ptr a) { + // TODO: Use a faster method? See Bernstein. + field_t kx; + element_t f; + element_t r, s; + element_t e0; + mpz_t z; + + field_init_poly(kx, a->field); + mpz_init(z); + element_init(f, kx); + element_init(r, kx); + element_init(s, kx); + element_init(e0, a->field); + + poly_alloc(f, 3); + element_set1(poly_coeff(f, 2)); + element_neg(poly_coeff(f, 0), a); + + mpz_sub_ui(z, a->field->order, 1); + mpz_divexact_ui(z, z, 2); + for (;;) { + int i; + element_ptr x; + element_ptr e1, e2; + + poly_alloc(r, 2); + element_set1(poly_coeff(r, 1)); + x = poly_coeff(r, 0); + element_random(x); + element_mul(e0, x, x); + if (!element_cmp(e0, a)) { + element_set(res, x); + break; + } + element_set1(s); + //TODO: this can be optimized greatly + //since we know r has the form ax + b + for (i = mpz_sizeinbase(z, 2) - 1; i >=0; i--) { + element_mul(s, s, s); + if (poly_degree(s) == 2) { + e1 = poly_coeff(s, 0); + e2 = poly_coeff(s, 2); + element_mul(e0, e2, a); + element_add(e1, e1, e0); + poly_alloc(s, 2); + poly_remove_leading_zeroes(s); + } + if (mpz_tstbit(z, i)) { + element_mul(s, s, r); + if (poly_degree(s) == 2) { + e1 = poly_coeff(s, 0); + e2 = poly_coeff(s, 2); + element_mul(e0, e2, a); + element_add(e1, e1, e0); + poly_alloc(s, 2); + poly_remove_leading_zeroes(s); + } + } + } + if (poly_degree(s) < 1) continue; + element_set1(e0); + e1 = poly_coeff(s, 0); + e2 = poly_coeff(s, 1); + element_add(e1, e1, e0); + element_invert(e0, e2); + element_mul(e0, e0, e1); + element_mul(e2, e0, e0); + if (!element_cmp(e2, a)) { + element_set(res, e0); + break; + } + } + + mpz_clear(z); + element_clear(f); + element_clear(r); + element_clear(s); + element_clear(e0); + field_clear(kx); +} + +static int polymod_to_bytes(unsigned char *data, element_t f) { + mfptr p = f->field->data; + element_t *coeff = f->data; + int i, n = p->n; + int len = 0; + for (i=0; i<n; i++) { + len += element_to_bytes(data + len, coeff[i]); + } + return len; +} + +static int polymod_length_in_bytes(element_t f) { + mfptr p = f->field->data; + element_t *coeff = f->data; + int i, n = p->n; + int res = 0; + + for (i=0; i<n; i++) { + res += element_length_in_bytes(coeff[i]); + } + + return res; +} + +static int polymod_from_bytes(element_t f, unsigned char *data) { + mfptr p = f->field->data; + element_t *coeff = f->data; + int i, n = p->n; + int len = 0; + + for (i=0; i<n; i++) { + len += element_from_bytes(coeff[i], data + len); + } + return len; +} + +static void polymod_init(element_t e) { + int i; + mfptr p = e->field->data; + int n = p->n; + element_t *coeff; + coeff = e->data = pbc_malloc(sizeof(element_t) * n); + + for (i=0; i<n; i++) { + element_init(coeff[i], p->field); + } +} + +static void polymod_clear(element_t e) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int i, n = p->n; + for (i=0; i<n; i++) { + element_clear(coeff[i]); + } + pbc_free(e->data); +} + +static void polymod_set_si(element_t e, signed long int x) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int i, n = p->n; + element_set_si(coeff[0], x); + for (i=1; i<n; i++) { + element_set0(coeff[i]); + } +} + +static void polymod_set_mpz(element_t e, mpz_t z) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int i, n = p->n; + element_set_mpz(coeff[0], z); + for (i=1; i<n; i++) { + element_set0(coeff[i]); + } +} + +static void polymod_set(element_t e, element_t f) { + mfptr p = e->field->data; + element_t *dst = e->data, *src = f->data; + int i, n = p->n; + for (i=0; i<n; i++) { + element_set(dst[i], src[i]); + } +} + +static void polymod_neg(element_t e, element_t f) { + mfptr p = e->field->data; + element_t *dst = e->data, *src = f->data; + int i, n = p->n; + for (i=0; i<n; i++) { + element_neg(dst[i], src[i]); + } +} + +static int polymod_cmp(element_ptr f, element_ptr g) { + mfptr p = f->field->data; + element_t *c1 = f->data, *c2 = g->data; + int i, n = p->n; + for (i=0; i<n; i++) { + if (element_cmp(c1[i], c2[i])) return 1; + } + return 0; +} + +static void polymod_add(element_t r, element_t e, element_t f) { + mfptr p = r->field->data; + element_t *dst = r->data, *s1 = e->data, *s2 = f->data; + int i, n = p->n; + for (i=0; i<n; i++) { + element_add(dst[i], s1[i], s2[i]); + } +} + +static void polymod_double(element_t r, element_t f) { + mfptr p = r->field->data; + element_t *dst = r->data, *s1 = f->data; + int i, n = p->n; + for (i=0; i<n; i++) { + element_double(dst[i], s1[i]); + } +} + +static void polymod_sub(element_t r, element_t e, element_t f) { + mfptr p = r->field->data; + element_t *dst = r->data, *s1 = e->data, *s2 = f->data; + int i, n = p->n; + for (i=0; i<n; i++) { + element_sub(dst[i], s1[i], s2[i]); + } +} + +static void polymod_mul_mpz(element_t e, element_t f, mpz_ptr z) { + mfptr p = e->field->data; + element_t *dst = e->data, *src = f->data; + int i, n = p->n; + for (i=0; i<n; i++) { + element_mul_mpz(dst[i], src[i], z); + } +} + +static void polymod_mul_si(element_t e, element_t f, signed long int z) { + mfptr p = e->field->data; + element_t *dst = e->data, *src = f->data; + int i, n = p->n; + for (i=0; i<n; i++) { + element_mul_si(dst[i], src[i], z); + } +} + +// Karatsuba multiplication for degree 2 polynomials. +static void kar_poly_2(element_t *dst, element_t c3, element_t c4, element_t *s1, element_t *s2, element_t *scratch) { + element_ptr c01, c02, c12; + + c12 = scratch[0]; + c02 = scratch[1]; + c01 = scratch[2]; + + element_add(c3, s1[0], s1[1]); + element_add(c4, s2[0], s2[1]); + element_mul(c01, c3, c4); + element_add(c3, s1[0], s1[2]); + element_add(c4, s2[0], s2[2]); + element_mul(c02, c3, c4); + element_add(c3, s1[1], s1[2]); + element_add(c4, s2[1], s2[2]); + element_mul(c12, c3, c4); + + element_mul(dst[1], s1[1], s2[1]); + + // Constant term. + element_mul(dst[0], s1[0], s2[0]); + + // Coefficient of x^4. + element_mul(c4, s1[2], s2[2]); + + // Coefficient of x^3. + element_add(c3, dst[1], c4); + element_sub(c3, c12, c3); + + // Coefficient of x^2. + element_add(dst[2], c4, dst[0]); + element_sub(c02, c02, dst[2]); + element_add(dst[2], dst[1], c02); + + // Coefficient of x. + element_sub(c01, c01, dst[0]); + element_sub(dst[1], c01, dst[1]); +} + +// Degree 3, 6 polynomial moduli have dedicated routines for multiplication. +static void polymod_mul_degree3(element_ptr res, element_ptr e, element_ptr f) { + mfptr p = res->field->data; + element_t *dst = res->data, *s1 = e->data, *s2 = f->data; + element_t c3, c4; + element_t p0; + + element_init(p0, res->field); + element_init(c3, p->field); + element_init(c4, p->field); + + kar_poly_2(dst, c3, c4, s1, s2, p0->data); + + polymod_const_mul(p0, c3, p->xpwr[0]); + element_add(res, res, p0); + polymod_const_mul(p0, c4, p->xpwr[1]); + element_add(res, res, p0); + + element_clear(p0); + element_clear(c3); + element_clear(c4); +} + +static void polymod_mul_degree6(element_ptr res, element_ptr e, element_ptr f) { + mfptr p = res->field->data; + element_t *dst = res->data, *s0, *s1 = e->data, *s2 = f->data; + element_t *a0, *a1, *b0, *b1; + element_t p0, p1, p2, p3; + + a0 = s1; + a1 = &s1[3]; + b0 = s2; + b1 = &s2[3]; + + element_init(p0, res->field); + element_init(p1, res->field); + element_init(p2, res->field); + element_init(p3, res->field); + + s0 = p0->data; + s1 = p1->data; + s2 = p2->data; + element_add(s0[0], a0[0], a1[0]); + element_add(s0[1], a0[1], a1[1]); + element_add(s0[2], a0[2], a1[2]); + + element_add(s1[0], b0[0], b1[0]); + element_add(s1[1], b0[1], b1[1]); + element_add(s1[2], b0[2], b1[2]); + + kar_poly_2(s2, s2[3], s2[4], s0, s1, p3->data); + kar_poly_2(s0, s0[3], s0[4], a0, b0, p3->data); + kar_poly_2(s1, s1[3], s1[4], a1, b1, p3->data); + + element_set(dst[0], s0[0]); + element_set(dst[1], s0[1]); + element_set(dst[2], s0[2]); + + element_sub(dst[3], s0[3], s0[0]); + element_sub(dst[3], dst[3], s1[0]); + element_add(dst[3], dst[3], s2[0]); + + element_sub(dst[4], s0[4], s0[1]); + element_sub(dst[4], dst[4], s1[1]); + element_add(dst[4], dst[4], s2[1]); + + element_sub(dst[5], s2[2], s0[2]); + element_sub(dst[5], dst[5], s1[2]); + + // Start reusing part of s0 as scratch space(!) + element_sub(s0[0], s2[3], s0[3]); + element_sub(s0[0], s0[0], s1[3]); + element_add(s0[0], s0[0], s1[0]); + + element_sub(s0[1], s2[4], s0[4]); + element_sub(s0[1], s0[1], s1[4]); + element_add(s0[1], s0[1], s1[1]); + + polymod_const_mul(p3, s0[0], p->xpwr[0]); + element_add(res, res, p3); + polymod_const_mul(p3, s0[1], p->xpwr[1]); + element_add(res, res, p3); + polymod_const_mul(p3, s1[2], p->xpwr[2]); + element_add(res, res, p3); + polymod_const_mul(p3, s1[3], p->xpwr[3]); + element_add(res, res, p3); + polymod_const_mul(p3, s1[4], p->xpwr[4]); + element_add(res, res, p3); + + element_clear(p0); + element_clear(p1); + element_clear(p2); + element_clear(p3); +} + +// General polynomial modulo ring multiplication. +static void polymod_mul(element_ptr res, element_ptr e, element_ptr f) { + mfptr p = res->field->data; + int n = p->n; + element_t *dst; + element_t *s1 = e->data, *s2 = f->data; + element_t prod, p0, c0; + int i, j; + element_t *high; // Coefficients of x^n, ..., x^{2n-2}. + + high = pbc_malloc(sizeof(element_t) * (n - 1)); + for (i=0; i<n-1; i++) { + element_init(high[i], p->field); + element_set0(high[i]); + } + element_init(prod, res->field); + dst = prod->data; + element_init(p0, res->field); + element_init(c0, p->field); + + for (i=0; i<n; i++) { + int ni = n - i; + for (j=0; j<ni; j++) { + element_mul(c0, s1[i], s2[j]); + element_add(dst[i + j], dst[i + j], c0); + } + for (;j<n; j++) { + element_mul(c0, s1[i], s2[j]); + element_add(high[j - ni], high[j - ni], c0); + } + } + + for (i=0; i<n-1; i++) { + polymod_const_mul(p0, high[i], p->xpwr[i]); + element_add(prod, prod, p0); + element_clear(high[i]); + } + pbc_free(high); + + element_set(res, prod); + element_clear(prod); + element_clear(p0); + element_clear(c0); +} + +static void polymod_square_degree3(element_ptr res, element_ptr e) { + // TODO: Investigate if squaring is significantly cheaper than + // multiplication. If so convert to Karatsuba. + element_t *dst = res->data; + element_t *src = e->data; + mfptr p = res->field->data; + element_t p0; + element_t c0, c2; + element_ptr c1, c3; + + element_init(p0, res->field); + element_init(c0, p->field); + element_init(c2, p->field); + + c3 = p0->data; + c1 = c3 + 1; + + element_mul(c3, src[0], src[1]); + element_mul(c1, src[0], src[2]); + element_square(dst[0], src[0]); + + element_mul(c2, src[1], src[2]); + element_square(c0, src[2]); + element_square(dst[2], src[1]); + + element_add(dst[1], c3, c3); + + element_add(c1, c1, c1); + element_add(dst[2], dst[2], c1); + + polymod_const_mul(p0, c0, p->xpwr[1]); + element_add(res, res, p0); + + element_add(c2, c2, c2); + polymod_const_mul(p0, c2, p->xpwr[0]); + element_add(res, res, p0); + + element_clear(p0); + element_clear(c0); + element_clear(c2); +} + +static void polymod_square(element_ptr res, element_ptr e) { + element_t *dst; + element_t *src = e->data; + mfptr p = res->field->data; + int n = p->n; + element_t prod, p0, c0; + int i, j; + element_t *high; // Coefficients of x^n,...,x^{2n-2}. + + high = pbc_malloc(sizeof(element_t) * (n - 1)); + for (i=0; i<n-1; i++) { + element_init(high[i], p->field); + element_set0(high[i]); + } + + element_init(prod, res->field); + dst = prod->data; + element_init(p0, res->field); + element_init(c0, p->field); + + for (i=0; i<n; i++) { + int twicei = 2 * i; + element_square(c0, src[i]); + if (twicei < n) { + element_add(dst[twicei], dst[twicei], c0); + } else { + element_add(high[twicei - n], high[twicei - n], c0); + } + + for (j=i+1; j<n-i; j++) { + element_mul(c0, src[i], src[j]); + element_add(c0, c0, c0); + element_add(dst[i + j], dst[i + j], c0); + } + for (;j<n; j++) { + element_mul(c0, src[i], src[j]); + element_add(c0, c0, c0); + element_add(high[i + j - n], high[i + j - n], c0); + } + } + + for (i=0; i<n-1; i++) { + polymod_const_mul(p0, high[i], p->xpwr[i]); + element_add(prod, prod, p0); + element_clear(high[i]); + } + pbc_free(high); + + element_set(res, prod); + element_clear(prod); + element_clear(p0); + element_clear(c0); +} + +static int polymod_is0(element_ptr e) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int i, n = p->n; + + for (i=0; i<n; i++) { + if (!element_is0(coeff[i])) return 0; + } + return 1; +} + +static int polymod_is1(element_ptr e) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int i, n = p->n; + + if (!element_is1(coeff[0])) return 0; + for (i=1; i<n; i++) { + if (!element_is0(coeff[i])) return 0; + } + return 1; +} + +static void polymod_set0(element_ptr e) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int i, n = p->n; + + for (i=0; i<n; i++) { + element_set0(coeff[i]); + } +} + +static void polymod_set1(element_ptr e) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int i, n = p->n; + + element_set1(coeff[0]); + for (i=1; i<n; i++) { + element_set0(coeff[i]); + } +} + +static int polymod_sgn(element_ptr e) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int res = 0; + int i, n = p->n; + for (i=0; i<n; i++) { + res = element_sgn(coeff[i]); + if (res) break; + } + return res; +} + +static size_t polymod_out_str(FILE *stream, int base, element_ptr e) { + size_t result = 2, status; + mfptr p = e->field->data; + element_t *coeff = e->data; + int i, n = p->n; + + if (EOF == fputc('[', stream)) return 0; + for (i=0; i<n; i++) { + if (i) { + if (EOF == fputs(", ", stream)) return 0; + result += 2; + } + status = element_out_str(stream, base, coeff[i]); + if (!status) return 0; + result += status; + } + if (EOF == fputc(']', stream)) return 0; + return result; +} + +static int polymod_snprint(char *s, size_t size, element_ptr e) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int i, n = p->n; + size_t result = 0, left; + int status; + + #define clip_sub(void) { \ + result += status; \ + left = result >= size ? 0 : size - result; \ + } + + status = snprintf(s, size, "["); + if (status < 0) return status; + clip_sub(); + + for (i=0; i<n; i++) { + if (i) { + status = snprintf(s + result, left, ", "); + if (status < 0) return status; + clip_sub(); + } + status = element_snprint(s + result, left, coeff[i]); + if (status < 0) return status; + clip_sub(); + } + status = snprintf(s + result, left, "]"); + if (status < 0) return status; + return result + status; + #undef clip_sub +} + +static void polymod_set_multiz(element_ptr e, multiz m) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int i, n = p->n; + if (multiz_is_z(m)) { + element_set_multiz(coeff[0], m); + for (i = 1; i < n; i++) element_set0(coeff[i]); + return; + } + int max = multiz_count(m); + for (i = 0; i < n; i++) { + if (i >= max) element_set0(coeff[i]); + else element_set_multiz(coeff[i], multiz_at(m, i)); + } +} + +static int polymod_set_str(element_ptr e, const char *s, int base) { + mfptr p = e->field->data; + element_t *coeff = e->data; + int i, n = p->n; + const char *cp = s; + element_set0(e); + while (*cp && isspace(*cp)) cp++; + if (*cp++ != '[') return 0; + for (i=0; i<n; i++) { + cp += element_set_str(coeff[i], cp, base); + while (*cp && isspace(*cp)) cp++; + if (i<n-1 && *cp++ != ',') return 0; + } + if (*cp++ != ']') return 0; + return cp - s; +} + +static int polymod_coeff_count(element_ptr e) { + UNUSED_VAR(e); + mfptr p = e->field->data; + return p->n; +} + +static element_ptr polymod_coeff(element_ptr e, int i) { + element_t *coeff = e->data; + return coeff[i]; +} + +static void polymod_to_mpz(mpz_t z, element_ptr e) { + element_to_mpz(z, polymod_coeff(e, 0)); +} + +// Compute x^n,...,x^{2n-2} mod poly. +static void compute_x_powers(field_ptr field, element_ptr poly) { + mfptr p = field->data; + element_t p0; + element_ptr pwrn; + element_t *coeff, *coeff1; + int i, j; + int n = p->n; + element_t *xpwr; + + xpwr = p->xpwr; + + element_init(p0, field); + for (i=0; i<n; i++) { + element_init(xpwr[i], field); + } + pwrn = xpwr[0]; + poly_to_polymod_truncate(pwrn, poly); + element_neg(pwrn, pwrn); + + for (i=1; i<n; i++) { + coeff = xpwr[i-1]->data; + coeff1 = xpwr[i]->data; + + element_set0(coeff1[0]); + for (j=1; j<n; j++) { + element_set(coeff1[j], coeff[j - 1]); + } + polymod_const_mul(p0, coeff[n - 1], pwrn); + element_add(xpwr[i], xpwr[i], p0); + } + element_clear(p0); +} + +static void polymod_out_info(FILE *str, field_ptr f) { + mfptr p = f->data; + element_fprintf(str, "Extension, poly = %B, base field = ", p->poly); + field_out_info(str, p->field); +} + +// Sets d = gcd(f, g). +static void poly_gcd(element_ptr d, element_ptr f, element_ptr g) { + element_t a, b, q, r; + element_init(a, d->field); + element_init(b, d->field); + element_init(q, d->field); + element_init(r, d->field); + + element_set(a, f); + element_set(b, g); + for(;;) { + //TODO: don't care about q + poly_div(q, r, a, b); + if (element_is0(r)) break; + element_set(a, b); + element_set(b, r); + } + element_set(d, b); + element_clear(a); + element_clear(b); + element_clear(q); + element_clear(r); +} + +// Sets f = c g where c is the inverse of the leading coefficient of g. +static void poly_make_monic(element_t f, element_t g) { + int n = poly_coeff_count(g); + int i; + element_ptr e0; + poly_alloc(f, n); + if (!n) return; + + e0 = poly_coeff(f, n - 1); + element_invert(e0, poly_coeff(g, n - 1)); + for (i=0; i<n-1; i++) { + element_mul(poly_coeff(f, i), poly_coeff(g, i), e0); + } + element_set1(e0); +} + +// The above should be static. + +void field_init_poly(field_ptr f, field_ptr base_field) { + field_init(f); + pfptr p = f->data = pbc_malloc(sizeof(*p)); + p->field = base_field; + p->mapbase = element_field_to_poly; + f->field_clear = field_clear_poly; + f->init = poly_init; + f->clear = poly_clear; + f->set_si = poly_set_si; + f->set_multiz = poly_set_multiz; + f->set_mpz = poly_set_mpz; + f->to_mpz = poly_to_mpz; + f->out_str = poly_out_str; + f->snprint = poly_snprint; + f->set = poly_set; + f->sign = poly_sgn; + f->add = poly_add; + f->doub = poly_double; + f->is0 = poly_is0; + f->is1 = poly_is1; + f->set0 = poly_set0; + f->set1 = poly_set1; + f->sub = poly_sub; + f->neg = poly_neg; + f->mul = poly_mul; + f->mul_mpz = poly_mul_mpz; + f->mul_si = poly_mul_si; + f->cmp = poly_cmp; + f->out_info = poly_out_info; + f->item_count = poly_coeff_count; + f->item = poly_coeff; + + f->to_bytes = poly_to_bytes; + f->from_bytes = poly_from_bytes; + f->fixed_length_in_bytes = -1; + f->length_in_bytes = poly_length_in_bytes; +} + +void poly_set_coeff(element_ptr e, element_ptr a, int n) { + peptr p = e->data; + if (p->coeff->count < n + 1) { + poly_alloc(e, n + 1); + } + element_ptr e0 = p->coeff->item[n]; + element_set(e0, a); + if (p->coeff->count == n + 1 && element_is0(a)) poly_remove_leading_zeroes(e); +} + +void poly_set_coeff0(element_ptr e, int n) { + peptr p = e->data; + if (n < p->coeff->count) { + element_set0(p->coeff->item[n]); + if (n == p->coeff->count - 1) poly_remove_leading_zeroes(e); + } +} + +void poly_set_coeff1(element_ptr e, int n) { + peptr p = e->data; + if (p->coeff->count < n + 1) { + poly_alloc(e, n + 1); + } + element_set1(p->coeff->item[n]); +} + +void poly_setx(element_ptr f) { + poly_alloc(f, 2); + element_set1(poly_coeff(f, 1)); + element_set0(poly_coeff(f, 0)); +} + +void poly_const_mul(element_ptr res, element_ptr a, element_ptr poly) { + int i, n = poly_coeff_count(poly); + poly_alloc(res, n); + for (i=0; i<n; i++) { + element_mul(poly_coeff(res, i), a, poly_coeff(poly, i)); + } + poly_remove_leading_zeroes(res); +} + +void poly_random_monic(element_ptr f, int deg) { + int i; + poly_alloc(f, deg + 1); + for (i=0; i<deg; i++) { + element_random(poly_coeff(f, i)); + } + element_set1(poly_coeff(f, i)); +} + +int polymod_field_degree(field_t f) { + mfptr p = f->data; + return p->n; +} + +void field_init_polymod(field_ptr f, element_ptr poly) { + pfptr pdp = poly->field->data; + field_init(f); + mfptr p = f->data = pbc_malloc(sizeof(*p)); + p->field = pdp->field; + p->mapbase = element_field_to_poly; + element_init(p->poly, poly->field); + element_set(p->poly, poly); + int n = p->n = poly_degree(p->poly); + f->field_clear = field_clear_polymod; + f->init = polymod_init; + f->clear = polymod_clear; + f->set_si = polymod_set_si; + f->set_mpz = polymod_set_mpz; + f->out_str = polymod_out_str; + f->snprint = polymod_snprint; + f->set_multiz = polymod_set_multiz; + f->set_str = polymod_set_str; + f->set = polymod_set; + f->sign = polymod_sgn; + f->add = polymod_add; + f->doub = polymod_double; + f->sub = polymod_sub; + f->neg = polymod_neg; + f->is0 = polymod_is0; + f->is1 = polymod_is1; + f->set0 = polymod_set0; + f->set1 = polymod_set1; + f->cmp = polymod_cmp; + f->to_mpz = polymod_to_mpz; + f->item_count = polymod_coeff_count; + f->item = polymod_coeff; + switch(n) { + case 3: + f->mul = polymod_mul_degree3; + f->square = polymod_square_degree3; + break; + case 6: + f->mul = polymod_mul_degree6; + f->square = polymod_square; + break; + default: + f->mul = polymod_mul; + f->square = polymod_square; + break; + } + + f->mul_mpz = polymod_mul_mpz; + f->mul_si = polymod_mul_si; + f->random = polymod_random; + f->from_hash = polymod_from_hash; + f->invert = polymod_invert; + f->is_sqr = polymod_is_sqr; + f->sqrt = polymod_sqrt; + f->to_bytes = polymod_to_bytes; + f->from_bytes = polymod_from_bytes; + f->out_info = polymod_out_info; + + if (pdp->field->fixed_length_in_bytes < 0) { + f->fixed_length_in_bytes = -1; + f->length_in_bytes = polymod_length_in_bytes; + } else { + f->fixed_length_in_bytes = pdp->field->fixed_length_in_bytes * poly_degree(poly); + } + mpz_pow_ui(f->order, p->field->order, n); + + p->xpwr = pbc_malloc(sizeof(element_t) * n); + compute_x_powers(f, poly); +} + +field_ptr poly_base_field(element_t f) { + return ((pfptr) f->field->data)->field; +} + +void polymod_const_mul(element_ptr res, element_ptr a, element_ptr e) { + // a lies in R, e in R[x]. + element_t *coeff = e->data, *dst = res->data; + int i, n = polymod_field_degree(e->field); + + for (i=0; i<n; i++) { + element_mul(dst[i], coeff[i], a); + } +} + +struct checkgcd_scope_var { + mpz_ptr z, deg; + field_ptr basef; + element_ptr xpow, x, f, g; +}; + +// Returns 0 if gcd(x^q^{n/d} - x, f) = 1, 1 otherwise. +static int checkgcd(mpz_ptr fac, unsigned int mul, struct checkgcd_scope_var *v) { + UNUSED_VAR(mul); + mpz_divexact(v->z, v->deg, fac); + mpz_pow_ui(v->z, v->basef->order, mpz_get_ui(v->z)); + element_pow_mpz(v->xpow, v->x, v->z); + element_sub(v->xpow, v->xpow, v->x); + if (element_is0(v->xpow)) return 1; + polymod_to_poly(v->g, v->xpow); + poly_gcd(v->g, v->f, v->g); + return poly_degree(v->g) != 0; +} + +// Returns 1 if polynomial is irreducible, 0 otherwise. +// A polynomial f(x) is irreducible in F_q[x] if and only if: +// (1) f(x) | x^{q^n} - x, and +// (2) gcd(f(x), x^{q^{n/d}} - x) = 1 for all primes d | n. +// (Recall GF(p) is the splitting field for x^p - x.) +int poly_is_irred(element_ptr f) { + int res = 0; + element_t xpow, x, g; + field_ptr basef = poly_base_field(f); + field_t rxmod; + + // 0, units are not irreducibles. + // Assume coefficients are from a field. + if (poly_degree(f) <= 0) return 0; + // Degree 1 polynomials are always irreducible. + if (poly_degree(f) == 1) return 1; + + field_init_polymod(rxmod, f); + element_init(xpow, rxmod); + element_init(x, rxmod); + element_init(g, f->field); + element_set1(polymod_coeff(x, 1)); + + // The degree fits in an unsigned int but I'm lazy and want to use my + // mpz trial division code. + mpz_t deg, z; + mpz_init(deg); + mpz_init(z); + mpz_set_ui(deg, poly_degree(f)); + + struct checkgcd_scope_var v = {.z = z, .deg = deg, .basef = basef, + .xpow = xpow, .x = x, .f = f, .g = g}; + if (!pbc_trial_divide((int(*)(mpz_t,unsigned,void*))checkgcd, &v, deg, NULL)) { + // By now condition (2) has been satisfied. Check (1). + mpz_pow_ui(z, basef->order, poly_degree(f)); + element_pow_mpz(xpow, x, z); + element_sub(xpow, xpow, x); + if (element_is0(xpow)) res = 1; + } + + mpz_clear(deg); + mpz_clear(z); + element_clear(g); + element_clear(xpow); + element_clear(x); + field_clear(rxmod); + return res; +} + +void element_field_to_poly(element_ptr f, element_ptr g) { + poly_alloc(f, 1); + element_set(poly_coeff(f, 0), g); + poly_remove_leading_zeroes(f); +} + +void element_field_to_polymod(element_ptr f, element_ptr g) { + mfptr p = f->field->data; + element_t *coeff = f->data; + int i, n = p->n; + element_set(coeff[0], g); + for (i=1; i<n; i++) { + element_set0(coeff[i]); + } +} + +// Returns 0 when a root exists and sets root to one of the roots. +int poly_findroot(element_ptr root, element_ptr poly) { + // Compute gcd(x^q - x, poly). + field_t fpxmod; + element_t p, x, r, fac, g; + mpz_t q; + + mpz_init(q); + mpz_set(q, poly_base_field(poly)->order); + + field_init_polymod(fpxmod, poly); + element_init(p, fpxmod); + element_init(x, fpxmod); + element_init(g, poly->field); + element_set1(((element_t *) x->data)[1]); +pbc_info("findroot: degree %d...", poly_degree(poly)); + element_pow_mpz(p, x, q); + element_sub(p, p, x); + + polymod_to_poly(g, p); + element_clear(p); + poly_gcd(g, g, poly); + poly_make_monic(g, g); + element_clear(x); + field_clear(fpxmod); + + if (!poly_degree(g)) { + printf("no roots!\n"); + mpz_clear(q); + element_clear(g); + return -1; + } + + // Cantor-Zassenhaus algorithm. + element_init(fac, g->field); + element_init(x, g->field); + element_set_si(x, 1); + mpz_sub_ui(q, q, 1); + mpz_divexact_ui(q, q, 2); + element_init(r, g->field); + for (;;) { + if (poly_degree(g) == 1) break; // Found a root! +step_random: + poly_random_monic(r, 1); + // TODO: evaluate at g instead of bothering with gcd + poly_gcd(fac, r, g); + + if (poly_degree(fac) > 0) { + poly_make_monic(g, fac); + } else { + field_init_polymod(fpxmod, g); + int n; + element_init(p, fpxmod); + + poly_to_polymod_truncate(p, r); +pbc_info("findroot: degree %d...", poly_degree(g)); + element_pow_mpz(p, p, q); + + polymod_to_poly(r, p); + element_clear(p); + field_clear(fpxmod); + + element_add(r, r, x); + poly_gcd(fac, r, g); + n = poly_degree(fac); + if (n > 0 && n < poly_degree(g)) { + poly_make_monic(g, fac); + } else { + goto step_random; + } + } + } +pbc_info("findroot: found root"); + element_neg(root, poly_coeff(g, 0)); + element_clear(r); + mpz_clear(q); + element_clear(x); + element_clear(g); + element_clear(fac); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/arith/random.c b/moon-abe/pbc-0.5.14/arith/random.c new file mode 100644 index 00000000..68228b3f --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/random.c @@ -0,0 +1,87 @@ +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <gmp.h> +#include "pbc_random.h" +#include "pbc_utils.h" +#include "pbc_memory.h" + +void pbc_init_random(void); + +// Must use pointer due to lack of gmp_randstate_ptr. +static gmp_randstate_t *get_rs(void) { + static int rs_is_ready; + static gmp_randstate_t rs; + if (!rs_is_ready) { + gmp_randinit_default(rs); + rs_is_ready = 1; + } + return &rs; +} + +static void deterministic_mpz_random(mpz_t z, mpz_t limit, void *data) { + UNUSED_VAR (data); + mpz_urandomm(z, *get_rs(), limit); +} + +static void file_mpz_random(mpz_t r, mpz_t limit, void *data) { + char *filename = (char *) data; + FILE *fp; + int n, bytecount, leftover; + unsigned char *bytes; + mpz_t z; + mpz_init(z); + fp = fopen(filename, "rb"); + if (!fp) return; + n = mpz_sizeinbase(limit, 2); + bytecount = (n + 7) / 8; + leftover = n % 8; + bytes = (unsigned char *) pbc_malloc(bytecount); + for (;;) { + if (!fread(bytes, 1, bytecount, fp)) { + pbc_warn("error reading source of random bits"); + return; + } + if (leftover) { + *bytes = *bytes % (1 << leftover); + } + mpz_import(z, bytecount, 1, 1, 0, 0, bytes); + if (mpz_cmp(z, limit) < 0) break; + } + fclose(fp); + mpz_set(r, z); + mpz_clear(z); + pbc_free(bytes); +} + +static void (*current_mpz_random)(mpz_t, mpz_t, void *); +static void *current_random_data; +static int random_function_ready = 0; + +void pbc_random_set_function(void (*fun)(mpz_t, mpz_t, void *), void *data) { + current_mpz_random = fun; + current_random_data = data; + random_function_ready = 1; +} + +void pbc_mpz_random(mpz_t z, mpz_t limit) { + if (!random_function_ready) pbc_init_random(); + current_mpz_random(z, limit, current_random_data); +} + +void pbc_mpz_randomb(mpz_t z, unsigned int bits) { + mpz_t limit; + mpz_init(limit); + mpz_setbit(limit, bits); + pbc_mpz_random(z, limit); + mpz_clear(limit); +} + +void pbc_random_set_deterministic(unsigned int seed) { + gmp_randseed_ui(*get_rs(), seed); + pbc_random_set_function(deterministic_mpz_random, NULL); +} + +void pbc_random_set_file(char *filename) { + pbc_random_set_function(file_mpz_random, filename); +} diff --git a/moon-abe/pbc-0.5.14/arith/ternary_extension_field.c b/moon-abe/pbc-0.5.14/arith/ternary_extension_field.c new file mode 100644 index 00000000..3c79e3bd --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/ternary_extension_field.c @@ -0,0 +1,950 @@ +/* $GF(3^m) = GF(3)[x]/(x^m + x^t + 2)$ + $GF(3^{2*m}) = GF(3^m)[x]/(x^2 + 1)$ + $GF(3^{3*m}) = GF(3^m)[x]/(x^3 - x -1)$ + $GF(3^{6*m}) = GF(3^{2*m})[x]/(x^3 - x -1)$ + + The "gf3_*" functions are for $GF(3)$. + The "gf3m_*" functions are for $GF(3^m)$. + The "gf32m_*" functions are for $GF(3^{2*m})$. + The "gf33m_*" functions are for $GF(3^{3*m})$ and $GF(3^{6*m})$. + + (gf3m field_t).data is a pointer of struct params + (gf3m element_t).data is a pointer of unsigned long + (gf32m element_t).data is gf32m_ptr + (gf33m element_t).data is gf33m_ptr */ + +#include <stdlib.h> +#include <string.h> +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_memory.h" +#include "pbc_field.h" + +typedef unsigned long gf3; + +typedef struct { /* private data of $GF(3^m)$ */ + unsigned int len; /* the number of native machine integers required to represent one GF(3^m) element */ + unsigned int m; /* the irreducible polynomial is $x^m + x^t + 2$ */ + unsigned int t; /* the irreducible polynomial is $x^m + x^t + 2$ */ + element_ptr p; /* $p$ is the irreducible polynomial. */ +} params; + +typedef struct { + element_t _0, _1; +} gf32m_s; + +typedef gf32m_s *gf32m_ptr; + +typedef struct { + element_t _0, _1, _2; +} gf33m_s; + +typedef gf33m_s *gf33m_ptr; + +#define W (sizeof(unsigned long)*8) /* number of GF(3) elements in one processor integer */ +#define PARAM(e) ((params *)e->field->data) +#define LEN(e) (PARAM(e)->len) +#define SIZE(e) (LEN(e) * 2 * sizeof(unsigned long)) +#define DATA1(e) ((unsigned long*)e->data) +#define DATA2(e) ((unsigned long*)e->data + LEN(e)) +#define GF32M(e) ((gf32m_s *)e->data) +#define GF33M(e) ((gf33m_s *)e->data) +#define BASE(e) ((field_ptr)e->field->data) +#define print(e) {printf(#e": "); element_out_str(stdout, 10, e); printf("\n");} + +static size_t gf3m_out_str(FILE *stream, int base, element_t e) { + if (base != 10 && base != 16) + pbc_die("only support base 10 and base 16"); + size_t size = 0; + unsigned i; + unsigned long *d = DATA1(e); + for (i = 0; i < LEN(e) * 2; i++) { + if (base == 16) + size += fprintf(stream, "0x%lx,", d[i]); + else + size += fprintf(stream, "%lu,", d[i]); + } + return size; +} + +/* $a <- 0$ */ +static void gf3m_zero(element_t a) { + memset(a->data, 0, SIZE(a)); +} + +static void gf3m_init(element_t e) { + e->data = pbc_malloc(SIZE(e)); + gf3m_zero(e); +} + +static void gf3m_clear(element_t e) { + pbc_free(e->data); +} + +/* $e <- a$ */ +static void gf3m_assign(element_t e, element_t a) { + memcpy(e->data, a->data, SIZE(a)); +} + +/* $a <- a/x$. $len$ is the number of elements in $a$ */ +static void shift_down(unsigned int len, unsigned long a[]) { + unsigned long h = 0; + const unsigned long x = 1ul << (W - 1); + int i; + for (i = len - 1; i >= 0; i--) { + unsigned long l = a[i] & 1; + a[i] >>= 1; + if (h) + a[i] |= x; + h = l; + } +} + +/* $e <- e/x$ */ +static void gf3m_shift_down(element_t e) { + shift_down(LEN(e), DATA1(e)); + shift_down(LEN(e), DATA2(e)); +} + +/* $a <- a*x$. $len$ is the number of elements in $a$ */ +static void shift_up(unsigned int len, unsigned long a[]) { + unsigned long l = 0; + const unsigned long x = 1ul << (W - 1), y = x - 1; + unsigned i; + for (i = 0; i < len; i++) { + unsigned long h = a[i] & x; + a[i] = ((a[i] & y) << 1) | l; + l = h ? 1 : 0; + } +} + +/* $e <- e*x$ */ +static void gf3m_shift_up(element_t e) { + shift_up(LEN(e), DATA1(e)); + shift_up(LEN(e), DATA2(e)); +} + +/* return the coefficient of $x^pos$ in $e$ */ +static unsigned gf3m_get(element_t e, unsigned pos) { + unsigned long *a1 = DATA1(e), *a2 = DATA2(e); + unsigned x = pos / W; + unsigned long y = 1ul << (pos % W), v1 = a1[x] & y, v2 = a2[x] & y; + return v1 ? 1 : (v2 ? 2 : 0); +} + +/* set the coefficient of $x^pos$ as 1 */ +static void gf3m_set(element_t e, unsigned pos, unsigned value) { + unsigned long *a = DATA1(e); + /* assert value == 0, 1 or 2 */ + if (value == 2) + a = DATA2(e); + if (value) + a[pos / W] |= 1ul << (pos % W); +} + +/* $e <- a+b$ */ +static void gf3m_add(element_t e, element_t a, element_t b) { + unsigned long *e1 = DATA1(e), *e2 = DATA2(e), *a1 = DATA1(a), + *a2 = DATA2(a), *b1 = DATA1(b), *b2 = DATA2(b); + unsigned i; + for (i = 0; i < LEN(e); i++, e1++, e2++, a1++, a2++, b1++, b2++) { + unsigned long t = (*a1 | *a2) & (*b1 | *b2), c1 = t ^ (*a1 | *b1), c2 = + t ^ (*a2 | *b2); + *e1 = c1; + *e2 = c2; + } +} + +/* $e <- x-y$ */ +static void gf3m_sub(element_t e, element_t a, element_t b) { + unsigned long *e1 = DATA1(e), *e2 = DATA2(e), *a1 = DATA1(a), + *a2 = DATA2(a), *b1 = DATA2(b), *b2 = DATA1(b); + unsigned i; + for (i = 0; i < LEN(e); i++, e1++, e2++, a1++, a2++, b1++, b2++) { + unsigned long t = (*a1 | *a2) & (*b1 | *b2), c1 = t ^ (*a1 | *b1), c2 = + t ^ (*a2 | *b2); + *e1 = c1; + *e2 = c2; + } +} + +/* return 0 if $a == b$ in $GF(3^m)$, 1 otherwise. */ +static int gf3m_cmp(element_t a, element_t b) { + unsigned long *pa = DATA1(a), *pb = DATA1(b); + unsigned i; + for (i = 0; i < LEN(a) * 2; i++, pa++, pb++) + if (*pa != *pb) + return 1; + return 0; +} + +/* $a <- 1$ */ +static void gf3m_one(element_t a) { + gf3m_zero(a); + *DATA1(a) = 1; +} + +static int gf3m_is0(element_t e) { + unsigned i; + for (i = 0; i < LEN(e) * 2; i++) + if (DATA1(e)[i]) + return 0; + return 1; +} + +static int gf3m_is1(element_t e) { + unsigned i; + if (DATA1(e)[0] != 1) + return 0; + for (i = 1; i < LEN(e) * 2; i++) + if (DATA1(e)[i]) + return 0; + return 1; +} + +/* set $a$ to be a random element in $GF(3^m)$ */ +static void gf3m_random(element_t a) { + /* TODO: use uniform distribution? */ + params *c = PARAM(a); + unsigned rm = c->m % W; + const unsigned long i1 = ~0ul; + unsigned long i2 = (1ul << rm) - 1; + unsigned long *a1 = DATA1(a), *a2 = DATA2(a); + unsigned i; + for (i = 0; i < c->len - 1; i++, a1++, a2++) { /* TODO: if $RAND_MAX < i1$ ? */ + *a1 = rand() & i1; + *a2 = rand() & i1 & ~(*a1); /* assuring there is no bit that a1[x] & a2[x] == 1 */ + } + unsigned long x = rm ? i2 : i1; + *a1 = rand() & x; + *a2 = rand() & x & ~(*a1); +} + +static void swap(unsigned long *a, unsigned long *b) { + *a ^= *b; + *b ^= *a; + *a ^= *b; +} + +/* $y <- (-x)$ */ +static void gf3m_neg(element_t y, element_t x) { + unsigned long *a1 = DATA1(x), *a2 = DATA2(x), *c1 = DATA1(y), + *c2 = DATA2(y); + if (a1 == c1) { + unsigned i; + for (i = 0; i < LEN(y); i++, a1++, a2++) + swap(a1, a2); + } else { + memcpy(c1, a2, SIZE(y) / 2); + memcpy(c2, a1, SIZE(y) / 2); + } +} + +/* doing reduction + * The function returns the value of $a$ modulo $the irreducible trinomial$. + * $degree$ equals the degree of $a$. + * $2*len$ is the number of elements in $a$ */ +static void gf3m_reduct(element_t e, unsigned len, unsigned degree) { + // the $len$ argument exists because sometimes $len != p->len$ + params *p = PARAM(e); + unsigned old = p->len; + p->len = len; + element_t px; + element_init(px, e->field); + gf3m_set(px, degree, 1); + gf3m_set(px, degree - p->m + p->t, 1); + gf3m_set(px, degree - p->m, 2); + while (degree >= p->m) { + unsigned v = gf3m_get(e, degree); + if (v == 1) + gf3m_sub(e, e, px); + else if (v == 2) + gf3m_add(e, e, px); + degree--; + gf3m_shift_down(px); + } + element_clear(px); + p->len = old; +} + +/* doing multiplication of $n \in \{0,1,2\}$ and $a$ in $GF(3^m)$ + * The function sets $e <- n * a$. */ +static void gf3m_f1(element_t e, unsigned n, element_t a) { + /* assert $e$ is not $a$ */ + if (n == 0) + memset(DATA1(e), 0, SIZE(e)); + else if (n == 1) + memcpy(DATA1(e), DATA1(a), SIZE(e)); + else { + memcpy(DATA1(e), DATA2(a), SIZE(e) / 2); + memcpy(DATA2(e), DATA1(a), SIZE(e) / 2); + } +} + +/* $e <- e*x mod p(x)$ */ +static void gf3m_f2(element_t e) { + params *p = PARAM(e); + gf3m_shift_up(e); + unsigned v = gf3m_get(e, p->m); + if (v == 1) + gf3m_sub(e, e, p->p); + else if (v == 2) + gf3m_add(e, e, p->p); +} + +/* doing multiplication in GF(3^m) + * The function sets $e == a*b \in GF(3^m)$ */ +static void gf3m_mult(element_t e, element_ptr a, element_t b) { + params *p = PARAM(a); + element_t aa, t, c; + element_init(aa, a->field); + element_set(aa, a); + a = aa; // clone $a$ + element_init(t, a->field); + element_init(c, a->field); + unsigned i; + for (i = 0; i < p->m; i++) { + unsigned v = gf3m_get(b, i); + gf3m_f1(t, v, a); /* t == b[i]*a in GF(3^m) */ + gf3m_add(c, c, t); /* c += b[i]*a in GF(3^m) */ + gf3m_f2(a); /* a == a*x in GF(3^m) */ + } + element_set(e, c); + element_clear(t); + element_clear(c); + element_clear(aa); +} + +/* $e <- x^3$ */ +static void gf3m_cubic(element_t e, element_t x) { + /* TODO: faster algorithm */ + params *p = PARAM(x); + unsigned old = p->len; + unsigned len = (3 * p->m - 2 + W - 1) / W; /* length of $b1 */ + p->len = len; + element_t a; + element_init(a, x->field); + unsigned i; + for (i = 0; i < p->m; i++) { + p->len = old; + unsigned v = gf3m_get(x, i); + p->len = len; + gf3m_set(a, 3 * i, v); + } + gf3m_reduct(a, len, 3 * p->m - 3); + p->len = old; + memcpy(DATA1(e), DATA1(a), SIZE(e) / 2); + memcpy(DATA2(e), DATA1(a) + len, SIZE(e) / 2); + element_clear(a); +} + +/* multiplication modulo 3 of two elements in GF(3) + * for example, $mult(2,2) == 1$, and $mult(1,2) == 2$ */ +static unsigned gf3_mult(unsigned a, unsigned b) { + static const unsigned l[] = { 0, 1, 2, 0, 1 }; + return l[a * b]; +} + +static void gf3m_swap(element_t a, element_t b) { + unsigned long *p = DATA1(a); + a->data = b->data; + b->data = p; +} + +/* computing the inversion of an element $a$ in GF(3^m), i.e., $e <- a^{-1}$ + The algorithm is by Tim Kerins, Emanuel Popovici and William Marnane + in the paper of "Algorithms and Architectures for use in FPGA", + Lecture Notes in Computer Science, 2004, Volume 3203/2004, 74-83. + Note that $U$ must have an extra bit, i.e, (_m + W - 1) // W == (_m + W) // W */ +static void gf3m_invert(element_t e, element_t a) { + struct field_s *f = a->field; + params *p = PARAM(a); + unsigned lenA = p->len; + unsigned lenS = (3 * p->m + W - 1) / W; + p->len = lenS; + element_t S, R, t, U, V, t2; + element_init(S, f); + element_init(R, f); + element_init(t, f); + memcpy(DATA1(S), DATA1(p->p), lenA * sizeof(unsigned long)); /* S = p(x) */ + memcpy(DATA1(S) + lenS, DATA1(p->p) + lenA, lenA * sizeof(unsigned long)); + memcpy(DATA1(R), DATA1(a), lenA * sizeof(unsigned long)); /* R = _clone(a) */ + memcpy(DATA1(R) + lenS, DATA1(a) + lenA, lenA * sizeof(unsigned long)); + p->len = lenA; + element_init(U, f); + gf3m_one(U); + element_init(V, f); + element_init(t2, f); + unsigned d = 0, i, r_m, s_m, q, x; + for (i = 0; i < p->m * 2; i++) { + p->len = lenS; + r_m = gf3m_get(R, p->m), s_m = gf3m_get(S, p->m); + if (r_m == 0) { + gf3m_shift_up(R); /* R = xR */ + p->len = lenA; + gf3m_f2(U); /* U = xU mod p */ + d++; + } else { + q = gf3_mult(r_m, s_m); + gf3m_f1(t, q, R); + gf3m_sub(S, S, t); /* S = S-qR */ + gf3m_shift_up(S); /* S = xS */ + p->len = lenA; + gf3m_f1(t2, q, U); + gf3m_sub(V, V, t2); /* V = V-qU */ + if (d == 0) { + gf3m_swap(S, R); + gf3m_swap(U, V); + gf3m_f2(U); /* U = xU mod p*/ + d++; + } else { + x = gf3m_get(U, 0); + if (x == 1) /* assuring x|U */ + gf3m_add(U, U, p->p); + else if (x == 2) + gf3m_sub(U, U, p->p); + gf3m_shift_down(U); /* divide U by $x$ */ + d--; + } + } + } + p->len = lenS; + r_m = gf3m_get(R, p->m); /* assume r_m is not zero */ + p->len = lenA; + if (r_m == 2) + gf3m_neg(U, U); + memcpy(e->data, U->data, lenA * 2 * sizeof(unsigned long)); + element_clear(S); + element_clear(R); + element_clear(U); + element_clear(V); + element_clear(t); + element_clear(t2); +} + +static void gf3m_sqrt(element_t e, element_t a) { + field_ptr f = e->field; + mpz_t t; + mpz_init(t); // t == (field_order + 1) / 4 + mpz_set(t, f->order); + mpz_add_ui(t, t, 1); + mpz_tdiv_q_2exp(t, t, 2); + element_pow_mpz(e, a, t); + mpz_clear(t); +} + +int gf3m_to_bytes(unsigned char *d, element_ptr e) { + unsigned long *a = DATA1(e), *b = DATA2(e); + unsigned long i, j; + for (i = 0; i < LEN(e); i++, a++, b++) { + for (j = 0; j < sizeof(unsigned long) * 8; j += 8) { + *(d++) = (unsigned char) ((*a) >> j); + *(d++) = (unsigned char) ((*b) >> j); + } + } + return SIZE(e); +} + +int gf3m_from_bytes(element_ptr e, unsigned char *d) { + unsigned long *a = DATA1(e), *b = DATA2(e); + unsigned i; + int j; + for (i = 0; i < LEN(e); i++, a++, b++, d += sizeof(unsigned long) * 2) { + *a = 0, *b = 0; + j = 2 * sizeof(unsigned long) - 2; + while (j >= 0) { + *a <<= 8, *b <<= 8; + *a += d[j]; + *b += d[j + 1]; + j -= 2; + } + } + return SIZE(e); +} + +static void field_clear_gf3m(field_t f) { + params *p = f->data; + gf3m_clear(p->p); + pbc_free(p->p); + pbc_free(p); +} + +/* initialize the finite field as $GF(3^m)$, whose irreducible polynomial is with the degree of $m$ */ +void field_init_gf3m(field_t f, unsigned m, unsigned t) { + params *p = pbc_malloc(sizeof(*p)); + p->len = (m + (W - 1) + 1) / W; /* extra one bit for $_p$ */ + p->m = m; + p->t = t; + p->p = pbc_malloc(sizeof(*(p->p))); + p->p->field = f; + p->p->data = pbc_malloc(2 * sizeof(unsigned long) * p->len); + memset(p->p->data, 0, 2 * sizeof(unsigned long) * p->len); + unsigned long *p1 = p->p->data, *p2 = p1 + p->len; + p2[0] = 1; /* _p == x^m+x^t+2 */ + unsigned int p_t = p->t; + p1[p_t / W] |= 1ul << (p_t % W); + p1[m / W] |= 1ul << (m % W); + + field_init(f); + f->field_clear = field_clear_gf3m; + f->init = gf3m_init; + f->clear = gf3m_clear; + f->set = gf3m_assign; + f->set0 = gf3m_zero; + f->set1 = gf3m_one; + f->is0 = gf3m_is0; + f->is1 = gf3m_is1; + f->add = gf3m_add; + f->sub = gf3m_sub; + f->mul = gf3m_mult; + f->cubic = gf3m_cubic; + f->invert = gf3m_invert; + f->neg = gf3m_neg; + f->random = gf3m_random; + f->cmp = gf3m_cmp; + f->sqrt = gf3m_sqrt; + f->from_bytes = gf3m_from_bytes; + f->to_bytes = gf3m_to_bytes; + f->out_str = gf3m_out_str; + f->fixed_length_in_bytes = 2 * sizeof(unsigned long) * p->len; + f->data = p; + f->name = "GF(3^m)"; + + mpz_set_ui(f->order, 3); + mpz_pow_ui(f->order, f->order, p->m); +} + +static size_t gf32m_out_str(FILE *stream, int base, element_t e) { + UNUSED_VAR(base); + element_ptr e0 = GF32M(e)->_0, e1 = GF32M(e)->_1; + size_t size = 0; + size += element_out_str(stream, base, e0); + size += element_out_str(stream, base, e1); + return size; +} + +static void gf32m_init(element_t e) { + e->data = pbc_malloc(sizeof(gf32m_s)); + gf32m_ptr p = (gf32m_ptr) e->data; + field_ptr base = BASE(e); + element_init(p->_0, base); + element_init(p->_1, base); +} + +static void gf32m_clear(element_t e) { + gf32m_ptr p = (gf32m_ptr) e->data; + element_clear(p->_0); + element_clear(p->_1); + pbc_free(e->data); +} + +static void gf32m_set0(element_t e) { + element_ptr e0 = GF32M(e)->_0, e1 = GF32M(e)->_1; + element_set0(e0); + element_set0(e1); +} + +static void gf32m_set1(element_t e) { + element_ptr e0 = GF32M(e)->_0, e1 = GF32M(e)->_1; + element_set1(e0); + element_set0(e1); +} + +static int gf32m_item_count(element_t e) { + UNUSED_VAR(e); + return 2; +} + +static element_ptr gf32m_item(element_t a, int i) { + element_ptr a0 = GF32M(a)->_0, a1 = GF32M(a)->_1; + return i == 0 ? a0 : a1; +} + +static void gf32m_assign(element_t e, element_t a) { + element_ptr a0 = GF32M(a)->_0, a1 = GF32M(a)->_1, e0 = GF32M(e)->_0, e1 = + GF32M(e)->_1; + element_set(e0, a0); + element_set(e1, a1); +} + +static void gf32m_random(element_t e) { + element_ptr e0 = GF32M(e)->_0, e1 = GF32M(e)->_1; + element_random(e0); + element_random(e1); +} + +/* return 0 if $a == b$, 1 otherwise */ +static int gf32m_cmp(element_t a, element_t b) { + element_ptr a0 = GF32M(a)->_0, a1 = GF32M(a)->_1, b0 = GF32M(b)->_0, b1 = + GF32M(b)->_1; + return element_cmp(a0, b0) || element_cmp(a1, b1); +} + +/* $c <- a+b$ */ +static void gf32m_add(element_t c, element_t a, element_t b) { + element_ptr a0 = GF32M(a)->_0, a1 = GF32M(a)->_1, b0 = GF32M(b)->_0, b1 = + GF32M(b)->_1, c0 = GF32M(c)->_0, c1 = GF32M(c)->_1; + element_add(c0, a0, b0); + element_add(c1, a1, b1); +} + +/* $c <- a-b$ */ +static void gf32m_sub(element_t c, element_t a, element_t b) { + element_ptr a0 = GF32M(a)->_0, a1 = GF32M(a)->_1, b0 = GF32M(b)->_0, b1 = + GF32M(b)->_1, c0 = GF32M(c)->_0, c1 = GF32M(c)->_1; + element_sub(c0, a0, b0); + element_sub(c1, a1, b1); +} + +/* $c <- (-a)$ */ +static void gf32m_neg(element_t c, element_t a) { + element_ptr a0 = GF32M(a)->_0, a1 = GF32M(a)->_1, c0 = GF32M(c)->_0, c1 = + GF32M(c)->_1; + element_neg(c0, a0); + element_neg(c1, a1); +} + +/* $e<- a*b$ */ +static void gf32m_mult(element_t e, element_t a, element_t b) { + element_ptr a0 = GF32M(a)->_0, a1 = GF32M(a)->_1, b0 = GF32M(b)->_0, b1 = + GF32M(b)->_1, e0 = GF32M(e)->_0, e1 = GF32M(e)->_1; + field_ptr base = BASE(a); + element_t a0b0, a1b1, t0, t1, c1; + element_init(a0b0, base); + element_init(a1b1, base); + element_init(t0, base); + element_init(t1, base); + element_init(c1, base); + element_mul(a0b0, a0, b0); + element_mul(a1b1, a1, b1); + element_add(t0, a1, a0); + element_add(t1, b1, b0); + element_mul(c1, t0, t1); // c1 == (a1+a0)*(b1+b0) + element_sub(c1, c1, a1b1); + element_sub(c1, c1, a0b0); + element_ptr c0 = a0b0; + element_sub(c0, c0, a1b1); // c0 == a0*b0 - a1*b1 + element_set(e0, c0); + element_set(e1, c1); + element_clear(a0b0); + element_clear(a1b1); + element_clear(t0); + element_clear(t1); + element_clear(c1); +} + +/* $e <- a^3$ */ +static void gf32m_cubic(element_t e, element_t a) { + element_ptr a0 = GF32M(a)->_0, a1 = GF32M(a)->_1, e0 = GF32M(e)->_0, e1 = + GF32M(e)->_1; + field_ptr base = BASE(a); + element_t c0, c1; + element_init(c0, base); + element_init(c1, base); + element_cubic(c0, a0); + element_cubic(c1, a1); + element_neg(c1, c1); // c1 == -(a1^3) + element_set(e0, c0); + element_set(e1, c1); + element_clear(c0); + element_clear(c1); +} + +void field_clear_gf32m(field_t f) { + UNUSED_VAR(f); +} + +/* initialize the finite field as $base_field[x]/(x^2 + 1)$, whose base field is $b$ */ +void field_init_gf32m(field_t f, field_t b) { + field_init(f); + f->data = b; + f->field_clear = field_clear_gf32m; + f->init = gf32m_init; + f->clear = gf32m_clear; + f->set = gf32m_assign; + f->set0 = gf32m_set0; + f->set1 = gf32m_set1; + f->random = gf32m_random; + f->cmp = gf32m_cmp; + f->add = gf32m_add; + f->sub = gf32m_sub; + f->neg = gf32m_neg; + f->mul = gf32m_mult; + f->cubic = gf32m_cubic; + f->item_count = gf32m_item_count; + f->item = gf32m_item; + f->out_str = gf32m_out_str; + mpz_pow_ui(f->order, b->order, 2); + f->name = "GF(3^{2*m})"; +} + +static size_t gf33m_out_str(FILE *stream, int base, element_t e) { + UNUSED_VAR(base); + element_ptr e0 = GF33M(e)->_0, e1 = GF33M(e)->_1, e2 = GF33M(e)->_2; + size_t size = 0; + size += element_out_str(stream, base, e0); + size += element_out_str(stream, base, e1); + size += element_out_str(stream, base, e2); + return size; +} + +static void gf33m_init(element_t e) { + e->data = pbc_malloc(sizeof(gf33m_s)); + gf33m_ptr p = (gf33m_ptr) e->data; + field_ptr base = BASE(e); + element_init(p->_0, base); + element_init(p->_1, base); + element_init(p->_2, base); +} + +static void gf33m_clear(element_t e) { + gf33m_ptr p = (gf33m_ptr) e->data; + element_clear(p->_0); + element_clear(p->_1); + element_clear(p->_2); + pbc_free(e->data); +} + +static void gf33m_set0(element_t e) { + element_ptr e0 = GF33M(e)->_0, e1 = GF33M(e)->_1, e2 = GF33M(e)->_2; + element_set0(e0); + element_set0(e1); + element_set0(e2); +} + +static void gf33m_set1(element_t e) { + element_ptr e0 = GF33M(e)->_0, e1 = GF33M(e)->_1, e2 = GF33M(e)->_2; + element_set1(e0); + element_set0(e1); + element_set0(e2); +} + +static int gf33m_item_count(element_t e) { + UNUSED_VAR(e); + return 3; +} + +static element_ptr gf33m_item(element_t a, int i) { + element_ptr a0 = GF33M(a)->_0, a1 = GF33M(a)->_1, a2 = GF33M(a)->_2; + return i == 0 ? a0 : (i == 1 ? a1 : a2); +} + +static void gf33m_assign(element_t e, element_t a) { + element_ptr a0 = GF33M(a)->_0, a1 = GF33M(a)->_1, a2 = GF33M(a)->_2, e0 = + GF33M(e)->_0, e1 = GF33M(e)->_1, e2 = GF33M(e)->_2; + element_set(e0, a0); + element_set(e1, a1); + element_set(e2, a2); +} + +static void gf33m_random(element_t e) { + element_ptr e0 = GF33M(e)->_0, e1 = GF33M(e)->_1, e2 = GF33M(e)->_2; + element_random(e0); + element_random(e1); + element_random(e2); +} + +/* return 0 if $a == b$, 1 otherwise */ +static int gf33m_cmp(element_t a, element_t b) { + element_ptr a0 = GF33M(a)->_0, a1 = GF33M(a)->_1, a2 = GF33M(a)->_2, b0 = + GF33M(b)->_0, b1 = GF33M(b)->_1, b2 = GF33M(b)->_2; + return element_cmp(a0, b0) || element_cmp(a1, b1) || element_cmp(a2, b2); +} + +/* $c <- a+b$ */ +static void gf33m_add(element_t c, element_t a, element_t b) { + element_ptr a0 = GF33M(a)->_0, a1 = GF33M(a)->_1, a2 = GF33M(a)->_2, b0 = + GF33M(b)->_0, b1 = GF33M(b)->_1, b2 = GF33M(b)->_2, c0 = + GF33M(c)->_0, c1 = GF33M(c)->_1, c2 = GF33M(c)->_2; + element_add(c0, a0, b0); + element_add(c1, a1, b1); + element_add(c2, a2, b2); +} + +/* $c <- a-b$ */ +static void gf33m_sub(element_t c, element_t a, element_t b) { + element_ptr a0 = GF33M(a)->_0, a1 = GF33M(a)->_1, a2 = GF33M(a)->_2, b0 = + GF33M(b)->_0, b1 = GF33M(b)->_1, b2 = GF33M(b)->_2, c0 = + GF33M(c)->_0, c1 = GF33M(c)->_1, c2 = GF33M(c)->_2; + element_sub(c0, a0, b0); + element_sub(c1, a1, b1); + element_sub(c2, a2, b2); +} + +/* $c <- a*b$ */ +static void gf33m_mult(element_t e, element_t a, element_t b) { + element_ptr a0 = GF33M(a)->_0, a1 = GF33M(a)->_1, a2 = GF33M(a)->_2, b0 = + GF33M(b)->_0, b1 = GF33M(b)->_1, b2 = GF33M(b)->_2, e0 = + GF33M(e)->_0, e1 = GF33M(e)->_1, e2 = GF33M(e)->_2; + field_ptr base = BASE(e); + element_t t0, t1, c1, a0b0, a1b1, a2b2; + element_init(t0, base); + element_init(t1, base); + element_init(c1, base); + element_init(a0b0, base); + element_init(a1b1, base); + element_init(a2b2, base); + element_mul(a0b0, a0, b0); + element_mul(a1b1, a1, b1); + element_mul(a2b2, a2, b2); + element_ptr d0 = a0b0; + element_add(t0, a1, a0); + element_add(t1, b1, b0); + element_t d1; + element_init(d1, base); + element_mul(d1, t0, t1); + element_sub(d1, d1, a1b1); + element_sub(d1, d1, a0b0); + element_add(t0, a2, a0); + element_add(t1, b2, b0); + element_t d2; + element_init(d2, base); + element_mul(d2, t0, t1); + element_add(d2, d2, a1b1); + element_sub(d2, d2, a2b2); + element_sub(d2, d2, a0b0); + element_add(t0, a2, a1); + element_add(t1, b2, b1); + element_t d3; + element_init(d3, base); + element_mul(d3, t0, t1); + element_sub(d3, d3, a2b2); + element_sub(d3, d3, a1b1); + element_ptr d4 = a2b2; + element_add(t0, d0, d3); + element_ptr c0 = t0; + element_add(c1, d1, d3); + element_add(c1, c1, d4); + element_add(t1, d2, d4); + element_ptr c2 = t1; + element_set(e0, c0); + element_set(e1, c1); + element_set(e2, c2); + element_clear(t0); + element_clear(t1); + element_clear(c1); + element_clear(a0b0); + element_clear(a1b1); + element_clear(a2b2); + element_clear(d1); + element_clear(d2); + element_clear(d3); +} + +/* $e <- a^3$ */ +static void gf33m_cubic(element_t e, element_t a) { + field_ptr base = BASE(a); + element_ptr a0 = GF33M(a)->_0, a1 = GF33M(a)->_1, a2 = GF33M(a)->_2, e0 = + GF33M(e)->_0, e1 = GF33M(e)->_1, e2 = GF33M(e)->_2; + element_t a03, a13, a23; + element_init(a03, base); + element_init(a13, base); + element_init(a23, base); + element_cubic(a03, a0); + element_cubic(a13, a1); + element_cubic(a23, a2); + element_add(a03, a03, a13); + element_add(a03, a03, a23); + element_ptr c0 = a03; + element_sub(a13, a13, a23); + element_ptr c1 = a13; + element_ptr c2 = a23; + element_set(e0, c0); + element_set(e1, c1); + element_set(e2, c2); + element_clear(a03); + element_clear(a13); + element_clear(a23); +} + +/* $e <- a^{-1}$ */ +static void gf33m_invert(element_t e, element_t a) { + element_ptr a0 = GF33M(a)->_0, a1 = GF33M(a)->_1, a2 = GF33M(a)->_2, e0 = + GF33M(e)->_0, e1 = GF33M(e)->_1, e2 = GF33M(e)->_2; + field_ptr base = BASE(e); + element_t a02, a12, a22; + element_init(a02, base); + element_init(a12, base); + element_init(a22, base); + element_mul(a02, a0, a0); + element_mul(a12, a1, a1); + element_mul(a22, a2, a2); + element_t v0; + element_init(v0, base); + element_sub(v0, a0, a2); // v0 == a0-a2 + element_t delta; + element_init(delta, base); + element_mul(delta, v0, a02); // delta = (a0-a2)*(a0^2), free + element_sub(v0, a1, a0); // v0 == a1-a0 + element_t c0; + element_init(c0, base); + element_mul(c0, v0, a12); // c0 == (a1-a0)*(a1^2) + element_add(delta, delta, c0); // delta = (a0-a2)*(a0^2) + (a1-a0)*(a1^2) + element_sub(v0, a2, v0); // v0 == a2-(a1-a0) = a0-a1+a2 + element_t c1; + element_init(c1, base); + element_mul(c1, v0, a22); // c1 == (a0-a1+a2)*(a2^2) + element_add(delta, delta, c1); // delta = (a0-a2)*(a0^2) + (a1-a0)*(a1^2) + (a0-a1+a2)*(a2^2) + element_invert(delta, delta); // delta = [(a0-a2)*(a0^2) + (a1-a0)*(a1^2) + (a0-a1+a2)*(a2^2)] ^ {-1} + element_add(v0, a02, a22); // v0 == a0^2+a2^2 + element_t c2; + element_init(c2, base); + element_mul(c2, a0, a2); // c2 == a0*a2 + element_sub(c0, v0, c2); // c0 == a0^2+a2^2-a0*a2 + element_add(v0, a1, a2); // v0 == a1+a2 + element_t c3; + element_init(c3, base); + element_mul(c3, a1, v0); // c3 == a1*(a1+a2) + element_sub(c0, c0, c3); // c0 == a0^2+a2^2-a0*a2-a1*(a1+a2) + element_mul(c0, c0, delta); // c0 *= delta + element_mul(c1, a0, a1); // c1 == a0*a1 + element_sub(c1, a22, c1); // c1 == a2^2-a0*a1 + element_mul(c1, c1, delta); // c1 *= delta + element_sub(c2, a12, c2); // c2 == a1^2-a0*a2 + element_sub(c2, c2, a22); // c2 == a1^2-a0*a2-a2^2 + element_mul(c2, c2, delta); // c2 *= delta + element_set(e0, c0); + element_set(e1, c1); + element_set(e2, c2); + element_clear(a02); + element_clear(a12); + element_clear(a22); + element_clear(v0); + element_clear(delta); + element_clear(c0); + element_clear(c1); + element_clear(c2); + element_clear(c3); +} + +void field_clear_gf33m(field_t f) { + UNUSED_VAR(f); +} + +/* initialize the finite field as $base_field[x]/(x^3 - x - 1)$, whose base field is $b$ */ +void field_init_gf33m(field_t f, field_t b) { + field_init(f); + f->data = b; + f->field_clear = field_clear_gf33m; + f->init = gf33m_init; + f->clear = gf33m_clear; + f->set = gf33m_assign; + f->set0 = gf33m_set0; + f->set1 = gf33m_set1; + f->random = gf33m_random; + f->cmp = gf33m_cmp; + f->add = gf33m_add; + f->sub = gf33m_sub; + f->mul = gf33m_mult; + f->cubic = gf33m_cubic; + f->invert = gf33m_invert; + f->item_count = gf33m_item_count; + f->item = gf33m_item; + f->out_str = gf33m_out_str; + mpz_pow_ui(f->order, b->order, 3); + f->name = "GF(3^{3*m})"; +} + diff --git a/moon-abe/pbc-0.5.14/arith/tinyfp.c b/moon-abe/pbc-0.5.14/arith/tinyfp.c new file mode 100644 index 00000000..50e883e1 --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/tinyfp.c @@ -0,0 +1,304 @@ +// F_p for small p, i.e. at most sizeof(long) bytes long. +// Assumes long long is at least twice long. + +// TODO: Fix outstanding bugs and use in PBC. + +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <string.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_random.h" +#include "pbc_fp.h" +#include "pbc_memory.h" + +// Mostly wrappers. We use GMP routines for pow_mpz and invert. + +static void fp_init(element_ptr e) { + unsigned long *p = e->data = pbc_malloc(sizeof(unsigned long)); + *p = 0; +} + +static void fp_clear(element_ptr e) { + pbc_free(e->data); +} + +static void fp_set_mpz(element_ptr e, mpz_ptr z) { + mpz_t r; + mpz_init(r); + unsigned long *p = e->field->data; + unsigned long *l = e->data; + mpz_fdiv_r_ui(r, z, *p); + *l = mpz_get_ui(r); + mpz_clear(r); +} + +static void fp_set_si(element_ptr e, signed long int op) { + unsigned long int *d = e->data; + unsigned long *p = e->field->data; + if (op < 0) { + *d = (-op) % *p; + *d = *p - *d; + } else { + *d = op % *p; + } +} + +static void fp_to_mpz(mpz_ptr z, element_ptr e) { + unsigned long int *l = e->data; + mpz_set_ui(z, *l); +} + +static void fp_set0(element_ptr e) { + unsigned long int *l = e->data; + *l = 0; +} + +static void fp_set1(element_ptr e) { + unsigned long int *l = e->data; + *l = 1; +} + +static int fp_is1(element_ptr e) { + unsigned long int *l = e->data; + return *l == 1; +} + +static int fp_is0(element_ptr e) { + unsigned long int *l = e->data; + return *l == 0; +} + +static size_t fp_out_str(FILE *stream, int base, element_ptr e) { + size_t result; + mpz_t z; + mpz_init(z); + fp_to_mpz(z, e); + result = mpz_out_str(stream, base, z); + mpz_clear(z); + return result; +} + +static void fp_add(element_ptr c, element_ptr a, element_ptr b) { + unsigned long *prime = a->field->data; + unsigned long *p = a->data; + unsigned long *q = b->data; + unsigned long *r = c->data; + unsigned long l0; + l0 = *p + *q; + if (l0 < *p) { + //overflow + l0 -= *prime; + } + *r = l0 % *prime; +} + +static void fp_double(element_ptr c, element_ptr a) { + unsigned long *prime = a->field->data; + unsigned long *p = a->data; + unsigned long *r = c->data; + *r = 2 * *p; + if (*r < *p) { + //overflow + *r -= *prime; + } + *r = *r % *prime; +} + +static void fp_sub(element_ptr c, element_ptr a, element_ptr b) { + unsigned long *prime = a->field->data; + unsigned long *p = a->data; + unsigned long *q = b->data; + unsigned long *r = c->data; + + if (*p >= *q) { + *r = *p - *q; + } else { + *r = *prime - *q + *p; + } +} + +static void fp_mul(element_ptr c, element_ptr a, element_ptr b) { + unsigned long *prime = a->field->data; + unsigned long *p = a->data; + unsigned long *q = b->data; + unsigned long long ll; + unsigned long *r = c->data; + + ll = *p * *q; + *r = ll % *prime; +} + +static void fp_square(element_ptr c, element_ptr a) { + fp_mul(c, a, a); +} + +static void fp_neg(element_ptr c, element_ptr a) { + unsigned long *prime = a->field->data; + unsigned long *r = c->data; + unsigned long *p = a->data; + if (*p) { + *r = *prime - *p; + } else { + *r = 0; + } +} + +static void fp_mul_si(element_ptr c, element_ptr a, signed long int op) { + unsigned long *prime = a->field->data; + unsigned long *p = a->data; + unsigned long long ll; + unsigned long *r = c->data; + + ll = *p * op; + *r = ll % *prime; +} + +static void fp_pow_mpz(element_ptr c, element_ptr a, mpz_ptr op) { + unsigned long *r = c->data; + mpz_t z; + mpz_init(z); + fp_to_mpz(z, a); + mpz_powm(z, z, op, a->field->order); + *r = mpz_get_ui(z); + mpz_clear(z); +} + +static void fp_set(element_ptr c, element_ptr a) { + unsigned long *p = a->data; + unsigned long *r = c->data; + *r = *p; +} + +static void fp_invert(element_ptr c, element_ptr a) { + unsigned long *r = c->data; + mpz_t z; + mpz_init(z); + fp_to_mpz(z, a); + mpz_invert(z, z, a->field->order); + *r = mpz_get_ui(z); + mpz_clear(z); +} + +static void fp_random(element_ptr c) { + unsigned long *r = c->data; + mpz_t z; + mpz_init(z); + pbc_mpz_random(z, c->field->order); + *r = mpz_get_ui(z); + mpz_clear(z); +} + +static void fp_from_hash(element_ptr n, void *data, int len) { + mpz_t z; + + mpz_init(z); + mpz_import(z, len, -1, 1, -1, 0, data); + fp_set_mpz(n, z); + mpz_clear(z); +} + +static int fp_cmp(element_ptr a, element_ptr b) { + unsigned long *p = a->data; + unsigned long *q = b->data; + return *p != *q; +} + +static int fp_sgn_odd(element_ptr a) { + unsigned long *p = a->data; + if (!*p) return 0; + return *p & 1 ? 1 : -1; +} + +static int fp_is_sqr(element_ptr a) { + int res; + mpz_t z; + mpz_init(z); + //0 is a square + if (fp_is0(a)) return 1; + fp_to_mpz(z, a); + res = mpz_legendre(z, a->field->order) == 1; + mpz_clear(z); + return res; +} + +static int fp_to_bytes(unsigned char *data, element_t e) { + unsigned long *p = e->data; + unsigned long l = *p; + int i, n = e->field->fixed_length_in_bytes; + for (i = 0; i < n; i++) { + data[n - i - 1] = (unsigned char) l; + l >>= 8; + } + return n; +} + +static int fp_from_bytes(element_t e, unsigned char *data) { + unsigned char *ptr = data; + unsigned long *p = e->data; + int i, n = e->field->fixed_length_in_bytes; + *p = 0; + for (i=0; i<n; i++) { + *p <<= 8; + *p += *ptr; + ptr++; + } + return n; +} + +static void fp_field_clear(field_t f) { + pbc_free(f->data); +} + +void field_init_tiny_fp(field_ptr f, mpz_t prime) { + unsigned long *p; + + PBC_ASSERT(mpz_fits_ulong_p(prime), "modulus too big"); + + field_init(f); + f->init = fp_init; + f->clear = fp_clear; + f->set_si = fp_set_si; + f->set_mpz = fp_set_mpz; + f->out_str = fp_out_str; + f->add = fp_add; + f->sub = fp_sub; + f->set = fp_set; + f->mul = fp_mul; + f->mul_si = fp_mul_si; + f->square = fp_square; + f->doub = fp_double; + f->pow_mpz = fp_pow_mpz; + f->neg = fp_neg; + f->cmp = fp_cmp; + f->sign = fp_sgn_odd; + f->invert = fp_invert; + f->random = fp_random; + f->from_hash = fp_from_hash; + f->is1 = fp_is1; + f->is0 = fp_is0; + f->set0 = fp_set0; + f->set1 = fp_set1; + f->is_sqr = fp_is_sqr; + f->sqrt = element_tonelli; + f->field_clear = fp_field_clear; + f->to_bytes = fp_to_bytes; + f->from_bytes = fp_from_bytes; + f->to_mpz = fp_to_mpz; + + p = f->data = pbc_malloc(sizeof(long)); + *p = mpz_get_ui(prime); + { + unsigned long int l = 255; + f->fixed_length_in_bytes = 1; + while (l < *p) { + f->fixed_length_in_bytes++; + l <<= 8; + l += 255; + } + } + mpz_set(f->order, prime); +} diff --git a/moon-abe/pbc-0.5.14/arith/z.c b/moon-abe/pbc-0.5.14/arith/z.c new file mode 100644 index 00000000..ff5a4a97 --- /dev/null +++ b/moon-abe/pbc-0.5.14/arith/z.c @@ -0,0 +1,263 @@ +// The ring Z. +// +// Wrappers around GMP mpz functions. +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_z.h" +#include "pbc_random.h" +#include "pbc_fp.h" +#include "pbc_memory.h" + +static void z_init(element_ptr e) { + e->data = pbc_malloc(sizeof(mpz_t)); + mpz_init(e->data); +} + +static void z_clear(element_ptr e) { + mpz_clear(e->data); + pbc_free(e->data); +} + +static void z_set_si(element_ptr e, signed long int op) { + mpz_set_si(e->data, op); +} + +static void z_set_mpz(element_ptr e, mpz_ptr z) { + mpz_set(e->data, z); +} + +static void z_set0(element_ptr e) { + mpz_set_ui(e->data, 0); +} + +static void z_set1(element_ptr e) { + mpz_set_ui(e->data, 1); +} + +static size_t z_out_str(FILE *stream, int base, element_ptr e) { + return mpz_out_str(stream, base, e->data); +} + +static int z_sgn(element_ptr a) { + mpz_ptr z = a->data; + return mpz_sgn(z); +} + +static void z_add(element_ptr n, element_ptr a, element_ptr b) { + mpz_add(n->data, a->data, b->data); +} + +static void z_sub(element_ptr n, element_ptr a, element_ptr b) { + mpz_sub(n->data, a->data, b->data); +} + +static void z_square(element_ptr c, element_ptr a) { + mpz_mul(c->data, a->data, a->data); +} + +static void z_double(element_ptr n, element_ptr a) { + mpz_mul_2exp(n->data, a->data, 1); +} + +static void z_halve(element_ptr n, element_ptr a) { + mpz_tdiv_q_2exp(n->data, a->data, -1); +} + +static void z_mul(element_ptr n, element_ptr a, element_ptr b) { + mpz_mul(n->data, a->data, b->data); +} + +static void z_mul_mpz(element_ptr n, element_ptr a, mpz_ptr z) { + mpz_mul(n->data, a->data, z); +} + +static void z_mul_si(element_ptr n, element_ptr a, signed long int z) { + mpz_mul_si(n->data, a->data, z); +} + +static void z_pow_mpz(element_ptr n, element_ptr a, mpz_ptr z) { + mpz_pow_ui(n->data, a->data, mpz_get_ui(z)); +} + +static void z_set(element_ptr n, element_ptr a) { + mpz_set(n->data, a->data); +} + +static void z_neg(element_ptr n, element_ptr a) { + mpz_neg(n->data, a->data); +} + +static void z_invert(element_ptr n, element_ptr a) { + if (!mpz_cmpabs_ui(a->data, 1)) { + mpz_set(n->data, a->data); + } else mpz_set_ui(n->data, 0); +} + +static void z_div(element_ptr c, element_ptr a, element_ptr b) { + mpz_tdiv_q(c->data, a->data, b->data); +} + +//(doesn't make sense if order is infinite) +static void z_random(element_ptr n) { + mpz_set_ui(n->data, 0); +} + +static void z_from_hash(element_ptr n, void *data, int len) { + mpz_import(n->data, len, -1, 1, -1, 0, data); +} + +static int z_is1(element_ptr n) { + return !mpz_cmp_ui((mpz_ptr) n->data, 1); +} + +static int z_is0(element_ptr n) { + return mpz_is0(n->data); +} + +static int z_cmp(element_ptr a, element_ptr b) { + return mpz_cmp((mpz_ptr) a->data, (mpz_ptr) b->data); +} + +static int z_is_sqr(element_ptr a) { + return mpz_perfect_power_p(a->data); +} + +static void z_sqrt(element_ptr c, element_ptr a) { + mpz_sqrt(c->data, a->data); +} + +static void z_field_clear(field_t f) { + UNUSED_VAR (f); +} + +// OpenSSL convention: +// 4 bytes containing length +// followed by number in big-endian, most-significant bit set if negative +// (prepending null byte if necessary) +// Positive numbers also the same as mpz_out_raw. +static int z_to_bytes(unsigned char *data, element_t e) { + mpz_ptr z = e->data; + size_t msb = mpz_sizeinbase(z, 2); + size_t n = 4; + size_t i; + + if (!(msb % 8)) { + data[4] = 0; + n++; + } + if (mpz_sgn(z) < 0) { + mpz_export(data + n, NULL, 1, 1, 1, 0, z); + data[4] |= 128; + } else { + mpz_export(data + n, NULL, 1, 1, 1, 0, z); + } + n += (msb + 7) / 8 - 4; + for (i=0; i<4; i++) { + data[i] = (n >> 8 * (3 - i)); + } + n += 4; + + return n; +} + +static int z_from_bytes(element_t e, unsigned char *data) { + unsigned char *ptr; + size_t i, n; + mpz_ptr z = e->data; + mpz_t z1; + int neg = 0; + + mpz_init(z1); + mpz_set_ui(z, 0); + + ptr = data; + n = 0; + for (i=0; i<4; i++) { + n += ((unsigned int) *ptr) << 8 * (3 - i); + ptr++; + } + if (data[4] & 128) { + neg = 1; + data[4] &= 127; + } + for (i=0; i<n; i++) { + mpz_set_ui(z1, *ptr); + mpz_mul_2exp(z1, z1, 8 * (n - 1 - i)); + ptr++; + mpz_add(z, z, z1); + } + mpz_clear(z1); + if (neg) mpz_neg(z, z); + return n; +} + +static void z_to_mpz(mpz_ptr z, element_ptr a) { + mpz_set(z, a->data); +} + +static int z_length_in_bytes(element_ptr a) { + return (mpz_sizeinbase(a->data, 2) + 7) / 8 + 4; +} + +static void z_out_info(FILE *out, field_ptr f) { + UNUSED_VAR(f); + fprintf(out, "Z: wrapped GMP"); +} + +static int z_set_str(element_ptr e, const char *s, int base) { + mpz_t z; + mpz_init(z); + int result = pbc_mpz_set_str(z, s, base); + z_set_mpz(e, z); + mpz_clear(z); + return result; +} + +void field_init_z(field_ptr f) { + field_init(f); + f->init = z_init; + f->clear = z_clear; + f->set_si = z_set_si; + f->set_mpz = z_set_mpz; + f->set_str = z_set_str; + f->out_str = z_out_str; + f->sign = z_sgn; + f->add = z_add; + f->sub = z_sub; + f->set = z_set; + f->square = z_square; + f->doub = z_double; + f->halve = z_halve; + f->mul = z_mul; + f->mul_mpz = z_mul_mpz; + f->mul_si = z_mul_si; + f->pow_mpz = z_pow_mpz; + f->neg = z_neg; + f->cmp = z_cmp; + f->invert = z_invert; + f->div = z_div; + f->random = z_random; + f->from_hash = z_from_hash; + f->is1 = z_is1; + f->is0 = z_is0; + f->set0 = z_set0; + f->set1 = z_set1; + f->is_sqr = z_is_sqr; + f->sqrt = z_sqrt; + f->field_clear = z_field_clear; + f->to_bytes = z_to_bytes; + f->from_bytes = z_from_bytes; + f->to_mpz = z_to_mpz; + f->length_in_bytes = z_length_in_bytes; + + f->out_info = z_out_info; + + mpz_set_ui(f->order, 0); + f->data = NULL; + f->fixed_length_in_bytes = -1; +} diff --git a/moon-abe/pbc-0.5.14/benchmark/REPORT.BAT b/moon-abe/pbc-0.5.14/benchmark/REPORT.BAT new file mode 100644 index 00000000..c617b436 --- /dev/null +++ b/moon-abe/pbc-0.5.14/benchmark/REPORT.BAT @@ -0,0 +1,18 @@ +@echo off
+rem Batch file for timing various pairings
+echo A
+benchmark < a.param | find "average"
+echo D159
+benchmark < d159.param | find "average"
+echo D201
+benchmark < d201.param | find "average"
+echo D224
+benchmark < d224.param | find "average"
+echo E
+benchmark < e.param | find "average"
+echo F
+benchmark < f.param | find "average"
+echo G
+benchmark < g149.param | find "average"
+echo A1
+benchmark < a1.param | find "average"
diff --git a/moon-abe/pbc-0.5.14/benchmark/benchmark.c b/moon-abe/pbc-0.5.14/benchmark/benchmark.c new file mode 100644 index 00000000..b80c1554 --- /dev/null +++ b/moon-abe/pbc-0.5.14/benchmark/benchmark.c @@ -0,0 +1,109 @@ +#include <stdint.h> // for intptr_t +#include "pbc.h" +#include "pbc_test.h" + +/* I've heard that sometimes automatic garbage collection can outperform + * manual collection, so I briefly tried using the Boehm-Demers-Weiser GC + * library. Both GMP and PBC support custom memory allocation routines so + * incorporating the GC library is trivial. + * + * Automatic garbage collection appears to slow this program down a little, + * even if only PBC collects automatically. (The case where PBC collects + * manually but GMP collects automatically cannot be achieved with the GC + * library because PBC objects point at GMP objects.) + * + * Perhaps specially-tailored memory allocation routines could shave off + * some time, but one would have to thoroughly analyze PBC and GMP memory usage + * patterns. + * + * Below is the commented-out code that collects garbage for PBC. Of course, + * if you want to use it you must also tell the build system where to find + * gc.h and to link with the GC library. + * + * Also, you may wish to write similar code for GMP (which I unfortunately + * deleted before thinking that it might be useful for others). + * Note GC_MALLOC_ATOMIC may be used for GMP since the mpz_t type does not + * store pointers in the memory it allocates. + * + * The malloc and realloc functions should exit on failure but I didn't + * bother since I was only seeing if GC could speed up this program. + +#include <gc.h> +#include <pbc_utils.h> + +void *gc_alloc(size_t size) { + return GC_MALLOC(size); +} + +void *gc_realloc(void *ptr, size_t size) { + return GC_REALLOC(ptr, size); +} + +void gc_free(void *ptr) { + UNUSED_VAR(ptr); +} + + * The following should be the first two statements in main() + +GC_INIT(); +pbc_set_memory_functions(gc_alloc, gc_realloc, gc_free); + + */ + +int main(int argc, char **argv) { + pairing_t pairing; + element_t x, y, r, r2; + int i, n; + double t0, t1, ttotal, ttotalpp; + pairing_pp_t pp; + + // Cheat for slightly faster times: + // pbc_set_memory_functions(malloc, realloc, free); + + pbc_demo_pairing_init(pairing, argc, argv); + + element_init_G1(x, pairing); + element_init_G2(y, pairing); + element_init_GT(r, pairing); + element_init_GT(r2, pairing); + + n = 10; + ttotal = 0.0; + ttotalpp = 0.0; + for (i=0; i<n; i++) { + element_random(x); + element_random(y); + + pairing_pp_init(pp, x, pairing); + t0 = pbc_get_time(); + pairing_pp_apply(r, y, pp); + t1 = pbc_get_time(); + ttotalpp += t1 - t0; + pairing_pp_clear(pp); + + t0 = pbc_get_time(); + + element_pairing(r2, x, y); + t1 = pbc_get_time(); + ttotal += t1 - t0; + + element_printf("x = %B\n", x); + element_printf("y = %B\n", y); + element_printf("e(x,y) = %B\n", r); + if (element_cmp(r, r2)) { + printf("BUG!\n"); + exit(1); + } + } + printf("average pairing time = %f\n", ttotal / n); + printf("average pairing time (preprocessed) = %f\n", ttotalpp / n); + + element_clear(x); + element_clear(y); + element_clear(r); + element_clear(r2); + + pairing_clear(pairing); + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/benchmark/ellnet.c b/moon-abe/pbc-0.5.14/benchmark/ellnet.c new file mode 100644 index 00000000..8a866a65 --- /dev/null +++ b/moon-abe/pbc-0.5.14/benchmark/ellnet.c @@ -0,0 +1,65 @@ +#include <pbc.h> +#include "pbc_test.h" + +void time_pairing(pairing_ptr pairing) { + int i, n; + double t0, t1, ttotal, ttotalpp; + pairing_pp_t pp; + element_t x, y, r, r2; + element_init_G1(x, pairing); + element_init_G2(y, pairing); + element_init_GT(r, pairing); + element_init_GT(r2, pairing); + + n = 10; + ttotal = 0.0; + ttotalpp = 0.0; + for (i=0; i<n; i++) { + element_random(x); + element_random(y); + + pairing_pp_init(pp, x, pairing); + t0 = pbc_get_time(); + pairing_pp_apply(r, y, pp); + t1 = pbc_get_time(); + ttotalpp += t1 - t0; + pairing_pp_clear(pp); + + t0 = pbc_get_time(); + element_pairing(r2, x, y); + t1 = pbc_get_time(); + ttotal += t1 - t0; + + //element_printf("x = %B\n", x); + //element_printf("y = %B\n", y); + //element_printf("e(x,y) = %B\n", r); + if (element_cmp(r, r2)) { + printf("BUG!\n"); + exit(1); + } + } + printf("average pairing time = %f\n", ttotal / n); + printf("average pairing time (preprocessed) = %f\n", ttotalpp / n); + + element_clear(x); + element_clear(y); + element_clear(r); + element_clear(r2); +} + +int main(int argc, char **argv) { + pairing_t pairing; + + pbc_demo_pairing_init(pairing, argc, argv); + + printf("Miller's algorithm\n"); + time_pairing(pairing); + + pairing_option_set(pairing, "method", "shipsey-stange"); + printf("Shipsey-Stange algorithm\n"); + time_pairing(pairing); + + pairing_clear(pairing); + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/benchmark/multipairing.c b/moon-abe/pbc-0.5.14/benchmark/multipairing.c new file mode 100644 index 00000000..39c9ce77 --- /dev/null +++ b/moon-abe/pbc-0.5.14/benchmark/multipairing.c @@ -0,0 +1,62 @@ +// Compares dedicated multipairing (product of pairings) routine with naive +// method. +#include <pbc.h> +#include "pbc_test.h" + +int main(int argc, char **argv) { + enum { K = 5 }; + pairing_t pairing; + element_t x[K], y[K], r, r2, tmp; + int i, n; + double t0, t1, ttotal, ttotalm; + + pbc_demo_pairing_init(pairing, argc, argv); + + for(i = 0; i < K; i++) { + element_init_G1(x[i], pairing); + element_init_G2(y[i], pairing); + } + element_init_GT(r, pairing); + element_init_GT(r2, pairing); + element_init_GT(tmp, pairing); + + n = 10; + ttotal = 0.0; + ttotalm = 0.0; + for (i=0; i<n; i++) { + int j; + for(j = 0; j < K; j++) { + element_random(x[j]); + element_random(y[j]); + } + + t0 = pbc_get_time(); + element_prod_pairing(r, x, y, K); + t1 = pbc_get_time(); + ttotalm += t1 - t0; + + t0 = pbc_get_time(); + element_pairing(r2, x[0], y[0]); + for(j = 1; j < K; j++) { + element_pairing(tmp, x[j], y[j]); + element_mul(r2, r2, tmp); + } + t1 = pbc_get_time(); + ttotal += t1 - t0; + + element_printf("e(x,y) = %B\n", r); + EXPECT(!element_cmp(r, r2)); + } + printf("average pairing time = %f\n", ttotal / n); + printf("average multi-pairing time = %f\n", ttotalm / n); + + for(i = 0; i < K; i++) { + element_clear(x[i]); + element_clear(y[i]); + } + element_clear(r); + element_clear(r2); + + pairing_clear(pairing); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/benchmark/report_times b/moon-abe/pbc-0.5.14/benchmark/report_times new file mode 100644 index 00000000..d296efd4 --- /dev/null +++ b/moon-abe/pbc-0.5.14/benchmark/report_times @@ -0,0 +1,7 @@ +#!/bin/bash +#report pairing times for each type of parameter +for p in a d159 d201 d224 e f g149 a1 +do + echo -en $p'\t' + benchmark/benchmark < param/$p.param | awk '/time =/ {printf "%s", $5 "\t" } /prepro/ {print $6}' +done diff --git a/moon-abe/pbc-0.5.14/benchmark/timersa.c b/moon-abe/pbc-0.5.14/benchmark/timersa.c new file mode 100644 index 00000000..53a64cfb --- /dev/null +++ b/moon-abe/pbc-0.5.14/benchmark/timersa.c @@ -0,0 +1,83 @@ +#include <pbc.h> +#include "pbc_fp.h" +#include "pbc_test.h" + +int main(void) { + mpz_t p, q, N, d; + mpz_t dmp1, dmq1; + mpz_t ipmq, iqmp; + mpz_t adq, adp; + + field_t f; + element_t a, b; + double t0, t1, tnaive = 0, tcrt=0; + int i, n; + + mpz_init(p); + mpz_init(q); + mpz_init(N); + mpz_init(d); + mpz_init(dmp1); + mpz_init(dmq1); + mpz_init(ipmq); + mpz_init(iqmp); + mpz_init(adp); + mpz_init(adq); + pbc_mpz_randomb(p, 512); + pbc_mpz_randomb(q, 512); + mpz_nextprime(p, p); + mpz_nextprime(q, q); + mpz_mul(N, p, q); + mpz_invert(ipmq, p, q); + mpz_invert(iqmp, q, p); + + field_init_fp(f, N); + element_init(a, f); + element_init(b, f); + n = 10; + for (i=0; i<n; i++) { + pbc_mpz_random(d, N); + element_random(a); + t0 = pbc_get_time(); + element_pow_mpz(b, a, d); + t1 = pbc_get_time(); + tnaive += t1 - t0; + + mpz_sub_ui(p, p, 1); + mpz_sub_ui(q, q, 1); + + mpz_mod(dmp1, d, p); + mpz_mod(dmq1, d, q); + + mpz_add_ui(p, p, 1); + mpz_add_ui(q, q, 1); + + element_to_mpz(adq, a); + element_to_mpz(adp, a); + + t0 = pbc_get_time(); + mpz_powm(adp, adp, d, p); + mpz_powm(adq, adq, d, q); + + /* textbook CRT + mpz_mul(adp, adp, q); + mpz_mul(adp, adp, iqmp); + mpz_mul(adq, adq, p); + mpz_mul(adq, adq, ipmq); + mpz_add(adp, adp, adq); + */ + // Garner's algorithm + mpz_sub(adq, adq, adp); + mpz_mul(adq, adq, ipmq); + mpz_mod(adq, adq, q); + mpz_mul(adq, adq, p); + mpz_add(adp, adp, adq); + + t1 = pbc_get_time(); + tcrt += t1 - t0; + element_set_mpz(b, adp); + } + printf("average RSA exp time = %lf\n", tnaive / n); + printf("average RSA exp time (CRT) = %lf\n", tcrt / n); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/configure.ac b/moon-abe/pbc-0.5.14/configure.ac new file mode 100644 index 00000000..79f564a1 --- /dev/null +++ b/moon-abe/pbc-0.5.14/configure.ac @@ -0,0 +1,191 @@ +#-*- Autoconf -*- +# Process this file with autoconf to produce a configure script. + +AC_PREREQ(2.59) +AC_INIT([pbc], [0.5.14], [blynn@cs.stanford.edu]) +AM_INIT_AUTOMAKE +AC_CONFIG_HEADERS(config.h) +AC_CONFIG_MACRO_DIR([m4]) +AC_CONFIG_SRCDIR([./]) +LT_INIT +#AC_CANONICAL_HOST + +CFLAGS= +default_fink_path=/sw +case $host_os in + darwin*) + dnl fink installation + AC_MSG_CHECKING([for a fink installation at $default_fink_path]) + if test -d $default_fink_path; then + AC_MSG_RESULT([found it!]) + AC_MSG_NOTICE([Adding -I$default_fink_path/include to CPPFLAGS]) + CPPFLAGS="-I$default_fink_path/include $CPPFLAGS" + AC_MSG_NOTICE([Adding -L$default_fink_path/lib to LDFLAGS]) + LDFLAGS="-L$default_fink_path/lib $LDFLAGS" + else + AC_MSG_RESULT(none) + AC_MSG_NOTICE([You may need to add set CPPFLAGS and LDFLAGS for gmp, etc.]) + fi + ;; +esac + +############################ +# Configs for Windows DLLs. +# Framework for the below was extracted and +# modeled after the libgmp configure script. + +AC_LIBTOOL_WIN32_DLL +AC_SUBST(LIBPBC_DLL,0) + +case $host in + *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2*) + if test -z "$enable_shared"; then + enable_shared=no + fi + # Don't allow both static and DLL. + if test "$enable_shared" != no && test "$enable_static" != no; then + AC_MSG_ERROR([cannot build both static and DLL, since gmp.h is different for each. +Use "--disable-static --enable-shared" to build just a DLL.]) + fi + + # "-no-undefined" is required when building a DLL, see documentation on + # AC_LIBTOOL_WIN32_DLL. Also, -no-undefined needs a version number + # or it will complain about not having a nonnegative integer. + if test "$enable_shared" = yes; then + PBC_LDFLAGS="$PBC_LDFLAGS -no-undefined 0 -Wl,--export-all-symbols" + LIBPBC_LDFLAGS="$LIBPBC_LDFLAGS -Wl,--output-def,.libs/libpbc.dll.def" + LIBPBC_DLL=1 + fi + ;; +esac +case $host in + *-*-mingw*) + gcc_cflags_optlist="$gcc_cflags_optlist nocygwin" + gcc_cflags_nocygwin="-mno-cygwin" + ;; +esac + +AC_SUBST(PBC_LDFLAGS) +AC_SUBST(LIBPBC_LDFLAGS) +############################ + +# Checks for programs. +AC_PROG_CC +AM_PROG_CC_C_O +AC_PROG_CPP +AC_PROG_INSTALL +AC_PROG_LN_S +AC_PROG_MAKE_SET + +AC_PROG_LEX +if test "x$LEX" != xflex; then + echo "************************" + echo "flex not found" + echo "************************" + exit -1 +fi + +AC_PROG_YACC +if test "x$YACC" != "xbison -y"; then + echo "************************" + echo "bison not found" + echo "************************" + exit -1 +fi + +# Checks for libraries. +lib_err_msg="add its path to LDFLAGS\nsee ./configure --help" +AC_CHECK_LIB( [m], [pow], [],[ + echo "************************" + echo "m library not found" + echo -e $lib_err_msg + echo "************************" + exit -1 + ]) +AC_CHECK_LIB( [gmp], [__gmpz_init], [],[ + echo "************************" + echo "gmp library not found" + echo -e $lib_err_msg + echo "************************" + exit -1 + ]) +dnl Reset libs because most programs do not need to link against all of these libs. +LIBS= + +# Checks for header files. +AC_FUNC_ALLOCA +AC_HEADER_STDC +AC_CHECK_HEADERS([stdlib.h string.h sys/time.h]) + +# Checks for typedefs, structures, and compiler characteristics. +AC_C_CONST +AC_C_INLINE +AC_TYPE_SIZE_T +AC_HEADER_TIME + +dnl setup CFLAGS +with_enable_optimized="no" +AC_ARG_ENABLE( optimized, + [AS_HELP_STRING([--enable-optimized], + [Enable optimized build])], + [with_enable_optimized="$withval"], + [with_enable_optimized="no"]) + + +with_safe_clean=n +AC_ARG_ENABLE( safe-clean, + [AS_HELP_STRING([--enable-safe-clean], + [When free any PBC element or GMP mpz_t, fill internal memory inside the element by zero])], + [with_safe_clean=y], + [with_safe_clean=n]) + +with_debug=n +AC_ARG_ENABLE( debug, + [AS_HELP_STRING([--enable-debug], + [Add extra debugging information. Forbid compiling optimization.])], + [with_debug=y], + [with_debug=n]) + +CFLAGS="$CFLAGS -Wall -W -Wfloat-equal -Wpointer-arith -Wcast-align -Wstrict-prototypes -Wredundant-decls \ +-Wendif-labels -Wshadow -pipe -ffast-math -U__STRICT_ANSI__ -std=gnu99" +if test "$with_debug" == "y"; then + CFLAGS="$CFLAGS -g3 -O0" +elif test "$with_enable_optimized" != "no"; then + CFLAGS="$CFLAGS -g -O2" +else + CFLAGS="$CFLAGS -fomit-frame-pointer -O3" +fi + +if test "$with_safe_clean" != "n"; then + CFLAGS="$CFLAGS -DSAFE_CLEAN" +fi + +# Checks for library functions. +AC_FUNC_MALLOC +AC_FUNC_REALLOC +AC_CHECK_FUNCS([floor gettimeofday memmove memset pow sqrt strchr strdup]) + +AC_CONFIG_FILES([Makefile example/Makefile gen/Makefile]) +AC_OUTPUT + +echo -ne "\n" +echo "global build variables" +echo "-----------------------------------------" +echo `date` +echo "host info: $host" +echo "optimized build: $with_enable_optimized" +echo "compiler (CC): $CC" +echo "LDFLAGS: $LDFLAGS" +echo "CPPFLAGS: $CPPFLAGS" +echo "CFLAGS: $CFLAGS" +echo "LEX: $LEX" +echo "AM_LFLAGS: $AM_LFLAGS" +echo "LFLAGS: $LFLAGS" +echo "YACC: $YACC" +echo "AM_YFLAGS: $AM_YFLAGS" +echo "YFLAGS: $YFLAGS" +echo "-----------------------------------------" +echo -ne "\n" + +syscmd(bison -d -b pbc/parser pbc/parser.y) +syscmd(flex -o pbc/lex.yy.c --header-file=pbc/lex.yy.h pbc/parser.lex) diff --git a/moon-abe/pbc-0.5.14/configure.lineno b/moon-abe/pbc-0.5.14/configure.lineno new file mode 100755 index 00000000..de63e655 --- /dev/null +++ b/moon-abe/pbc-0.5.14/configure.lineno @@ -0,0 +1,16097 @@ +#! /bin/sh +# Guess values for system-dependent variables and create Makefiles. +# Generated by GNU Autoconf 2.68 for pbc 0.5.14. +# +# Report bugs to <blynn@cs.stanford.edu>. +# +# +# Copyright (C) 1992, 1993, 1994, 1995, 1996, 1998, 1999, 2000, 2001, +# 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 Free Software +# Foundation, Inc. +# +# +# This configure script is free software; the Free Software Foundation +# gives unlimited permission to copy, distribute and modify it. +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## + +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : + emulate sh + NULLCMD=: + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which + # is contrary to our usage. Disable this feature. + alias -g '${1+"$@"}'='"$@"' + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac +fi + + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' +else + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } +fi + + +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done +PS1='$ ' +PS2='> ' +PS4='+ ' + +# NLS nuisances. +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + +if test "x$CONFIG_SHELL" = x; then + as_bourne_compatible="if test -n \"\${ZSH_VERSION+set}\" && (emulate sh) >/dev/null 2>&1; then : + emulate sh + NULLCMD=: + # Pre-4.2 versions of Zsh do word splitting on \${1+\"\$@\"}, which + # is contrary to our usage. Disable this feature. + alias -g '\${1+\"\$@\"}'='\"\$@\"' + setopt NO_GLOB_SUBST +else + case \`(set -o) 2>/dev/null\` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac +fi +" + as_required="as_fn_return () { (exit \$1); } +as_fn_success () { as_fn_return 0; } +as_fn_failure () { as_fn_return 1; } +as_fn_ret_success () { return 0; } +as_fn_ret_failure () { return 1; } + +exitcode=0 +as_fn_success || { exitcode=1; echo as_fn_success failed.; } +as_fn_failure && { exitcode=1; echo as_fn_failure succeeded.; } +as_fn_ret_success || { exitcode=1; echo as_fn_ret_success failed.; } +as_fn_ret_failure && { exitcode=1; echo as_fn_ret_failure succeeded.; } +if ( set x; as_fn_ret_success y && test x = \"\$1\" ); then : + +else + exitcode=1; echo positional parameters were not saved. +fi +test x\$exitcode = x0 || exit 1" + as_suggested=" as_lineno_1=";as_suggested=$as_suggested173;as_suggested=$as_suggested" as_lineno_1a=\173 + as_lineno_2=";as_suggested=$as_suggested174;as_suggested=$as_suggested" as_lineno_2a=\174 + eval 'test \"x\$as_lineno_1'\$as_run'\" != \"x\$as_lineno_2'\$as_run'\" && + test \"x\`expr \$as_lineno_1'\$as_run' + 1\`\" = \"x\$as_lineno_2'\$as_run'\"' || exit 1 + + test -n \"\${ZSH_VERSION+set}\${BASH_VERSION+set}\" || ( + ECHO='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' + ECHO=\$ECHO\$ECHO\$ECHO\$ECHO\$ECHO + ECHO=\$ECHO\$ECHO\$ECHO\$ECHO\$ECHO\$ECHO + PATH=/empty FPATH=/empty; export PATH FPATH + test \"X\`printf %s \$ECHO\`\" = \"X\$ECHO\" \\ + || test \"X\`print -r -- \$ECHO\`\" = \"X\$ECHO\" ) || exit 1 +test \$(( 1 + 1 )) = 2 || exit 1" + if (eval "$as_required") 2>/dev/null; then : + as_have_required=yes +else + as_have_required=no +fi + if test x$as_have_required = xyes && (eval "$as_suggested") 2>/dev/null; then : + +else + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +as_found=false +for as_dir in /bin$PATH_SEPARATOR/usr/bin$PATH_SEPARATOR$PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + as_found=: + case $as_dir in #( + /*) + for as_base in sh bash ksh sh5; do + # Try only shells that exist, to save several forks. + as_shell=$as_dir/$as_base + if { test -f "$as_shell" || test -f "$as_shell.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$as_shell"; } 2>/dev/null; then : + CONFIG_SHELL=$as_shell as_have_required=yes + if { $as_echo "$as_bourne_compatible""$as_suggested" | as_run=a "$as_shell"; } 2>/dev/null; then : + break 2 +fi +fi + done;; + esac + as_found=false +done +$as_found || { if { test -f "$SHELL" || test -f "$SHELL.exe"; } && + { $as_echo "$as_bourne_compatible""$as_required" | as_run=a "$SHELL"; } 2>/dev/null; then : + CONFIG_SHELL=$SHELL as_have_required=yes +fi; } +IFS=$as_save_IFS + + + if test "x$CONFIG_SHELL" != x; then : + # We cannot yet assume a decent shell, so we have to provide a + # neutralization value for shells without unset; and this also + # works around shells that cannot unset nonexistent variables. + # Preserve -v and -x to the replacement shell. + BASH_ENV=/dev/null + ENV=/dev/null + (unset BASH_ENV) >/dev/null 2>&1 && unset BASH_ENV ENV + export CONFIG_SHELL + case $- in # (((( + *v*x* | *x*v* ) as_opts=-vx ;; + *v* ) as_opts=-v ;; + *x* ) as_opts=-x ;; + * ) as_opts= ;; + esac + exec "$CONFIG_SHELL" $as_opts "$as_myself" ${1+"$@"} +fi + + if test x$as_have_required = xno; then : + $as_echo "$0: This script requires a shell more modern than all" + $as_echo "$0: the shells that I found on your system." + if test x${ZSH_VERSION+set} = xset ; then + $as_echo "$0: In particular, zsh $ZSH_VERSION has bugs and should" + $as_echo "$0: be upgraded to zsh 4.3.4 or later." + else + $as_echo "$0: Please tell bug-autoconf@gnu.org and +$0: blynn@cs.stanford.edu about your system, including any +$0: error possibly output before this message. 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"newly created file is older than distributed files! +Check your system clock" "2430" 5 +fi +{ $as_echo "$as_me:${as_lineno-2432}: result: yes" >&5 +$as_echo "yes" >&6; } +test "$program_prefix" != NONE && + program_transform_name="s&^&$program_prefix&;$program_transform_name" +# Use a double $ so make ignores it. +test "$program_suffix" != NONE && + program_transform_name="s&\$&$program_suffix&;$program_transform_name" +# Double any \ or $. +# By default was `s,x,x', remove it if useless. +ac_script='s/[\\$]/&&/g;s/;s,x,x,$//' +program_transform_name=`$as_echo "$program_transform_name" | sed "$ac_script"` + +# expand $ac_aux_dir to an absolute path +am_aux_dir=`cd $ac_aux_dir && pwd` + +if test x"${MISSING+set}" != xset; then + case $am_aux_dir in + *\ * | *\ *) + MISSING="\${SHELL} \"$am_aux_dir/missing\"" ;; + *) + MISSING="\${SHELL} $am_aux_dir/missing" ;; + esac +fi +# Use eval to expand $SHELL +if eval "$MISSING --run true"; then + am_missing_run="$MISSING --run " +else + am_missing_run= + { $as_echo "$as_me:${as_lineno-2460}: WARNING: \`missing' script is too old or missing" >&5 +$as_echo "$as_me: WARNING: \`missing' script is too old or missing" >&2;} +fi + +if test x"${install_sh}" != xset; then + case $am_aux_dir in + *\ * | *\ *) + install_sh="\${SHELL} '$am_aux_dir/install-sh'" ;; + *) + install_sh="\${SHELL} $am_aux_dir/install-sh" + esac +fi + +# Installed binaries are usually stripped using `strip' when the user +# run `make install-strip'. However `strip' might not be the right +# tool to use in cross-compilation environments, therefore Automake +# will honor the `STRIP' environment variable to overrule this program. +if test "$cross_compiling" != no; then + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}strip", so it can be a program name with args. +set dummy ${ac_tool_prefix}strip; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-2481}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_STRIP+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$STRIP"; then + ac_cv_prog_STRIP="$STRIP" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_STRIP="${ac_tool_prefix}strip" + $as_echo "$as_me:${as_lineno-2497}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +STRIP=$ac_cv_prog_STRIP +if test -n "$STRIP"; then + { $as_echo "$as_me:${as_lineno-2508}: result: $STRIP" >&5 +$as_echo "$STRIP" >&6; } +else + { $as_echo "$as_me:${as_lineno-2511}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_STRIP"; then + ac_ct_STRIP=$STRIP + # Extract the first word of "strip", so it can be a program name with args. +set dummy strip; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-2521}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_STRIP+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_STRIP"; then + ac_cv_prog_ac_ct_STRIP="$ac_ct_STRIP" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_STRIP="strip" + $as_echo "$as_me:${as_lineno-2537}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_STRIP=$ac_cv_prog_ac_ct_STRIP +if test -n "$ac_ct_STRIP"; then + { $as_echo "$as_me:${as_lineno-2548}: result: $ac_ct_STRIP" >&5 +$as_echo "$ac_ct_STRIP" >&6; } +else + { $as_echo "$as_me:${as_lineno-2551}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_STRIP" = x; then + STRIP=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-2560}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + STRIP=$ac_ct_STRIP + fi +else + STRIP="$ac_cv_prog_STRIP" +fi + +fi +INSTALL_STRIP_PROGRAM="\$(install_sh) -c -s" + +{ $as_echo "$as_me:${as_lineno-2573}: checking for a thread-safe mkdir -p" >&5 +$as_echo_n "checking for a thread-safe mkdir -p... " >&6; } +if test -z "$MKDIR_P"; then + if ${ac_cv_path_mkdir+:} false; then : + $as_echo_n "(cached) " >&6 +else + as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH$PATH_SEPARATOR/opt/sfw/bin +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_prog in mkdir gmkdir; do + for ac_exec_ext in '' $ac_executable_extensions; do + { test -f "$as_dir/$ac_prog$ac_exec_ext" && $as_test_x "$as_dir/$ac_prog$ac_exec_ext"; } || continue + case `"$as_dir/$ac_prog$ac_exec_ext" --version 2>&1` in #( + 'mkdir (GNU coreutils) '* | \ + 'mkdir (coreutils) '* | \ + 'mkdir (fileutils) '4.1*) + ac_cv_path_mkdir=$as_dir/$ac_prog$ac_exec_ext + break 3;; + esac + done + done + done +IFS=$as_save_IFS + +fi + + test -d ./--version && rmdir ./--version + if test "${ac_cv_path_mkdir+set}" = set; then + MKDIR_P="$ac_cv_path_mkdir -p" + else + # As a last resort, use the slow shell script. Don't cache a + # value for MKDIR_P within a source directory, because that will + # break other packages using the cache if that directory is + # removed, or if the value is a relative name. + MKDIR_P="$ac_install_sh -d" + fi +fi +{ $as_echo "$as_me:${as_lineno-2612}: result: $MKDIR_P" >&5 +$as_echo "$MKDIR_P" >&6; } + +mkdir_p="$MKDIR_P" +case $mkdir_p in + [\\/$]* | ?:[\\/]*) ;; + */*) mkdir_p="\$(top_builddir)/$mkdir_p" ;; +esac + +for ac_prog in gawk mawk nawk awk +do + # Extract the first word of "$ac_prog", so it can be a program name with args. +set dummy $ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-2625}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_AWK+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$AWK"; then + ac_cv_prog_AWK="$AWK" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_AWK="$ac_prog" + $as_echo "$as_me:${as_lineno-2641}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +AWK=$ac_cv_prog_AWK +if test -n "$AWK"; then + { $as_echo "$as_me:${as_lineno-2652}: result: $AWK" >&5 +$as_echo "$AWK" >&6; } +else + { $as_echo "$as_me:${as_lineno-2655}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$AWK" && break +done + +{ $as_echo "$as_me:${as_lineno-2663}: checking whether ${MAKE-make} sets \$(MAKE)" >&5 +$as_echo_n "checking whether ${MAKE-make} sets \$(MAKE)... " >&6; } +set x ${MAKE-make} +ac_make=`$as_echo "$2" | sed 's/+/p/g; s/[^a-zA-Z0-9_]/_/g'` +if eval \${ac_cv_prog_make_${ac_make}_set+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat >conftest.make <<\_ACEOF +SHELL = /bin/sh +all: + @echo '@@@%%%=$(MAKE)=@@@%%%' +_ACEOF +# GNU make sometimes prints "make[1]: Entering ...", which would confuse us. +case `${MAKE-make} -f conftest.make 2>/dev/null` in + *@@@%%%=?*=@@@%%%*) + eval ac_cv_prog_make_${ac_make}_set=yes;; + *) + eval ac_cv_prog_make_${ac_make}_set=no;; +esac +rm -f conftest.make +fi +if eval test \$ac_cv_prog_make_${ac_make}_set = yes; then + { $as_echo "$as_me:${as_lineno-2685}: result: yes" >&5 +$as_echo "yes" >&6; } + SET_MAKE= +else + { $as_echo "$as_me:${as_lineno-2689}: result: no" >&5 +$as_echo "no" >&6; } + SET_MAKE="MAKE=${MAKE-make}" +fi + +rm -rf .tst 2>/dev/null +mkdir .tst 2>/dev/null +if test -d .tst; then + am__leading_dot=. +else + am__leading_dot=_ +fi +rmdir .tst 2>/dev/null + +if test "`cd $srcdir && pwd`" != "`pwd`"; then + # Use -I$(srcdir) only when $(srcdir) != ., so that make's output + # is not polluted with repeated "-I." + am__isrc=' -I$(srcdir)' + # test to see if srcdir already configured + if test -f $srcdir/config.status; then + as_fn_error $? "source directory already configured; run \"make distclean\" there first" "2709" 5 + fi +fi + +# test whether we have cygpath +if test -z "$CYGPATH_W"; then + if (cygpath --version) >/dev/null 2>/dev/null; then + CYGPATH_W='cygpath -w' + else + CYGPATH_W=echo + fi +fi + + +# Define the identity of the package. + PACKAGE='pbc' + VERSION='0.5.14' + + +cat >>confdefs.h <<_ACEOF +#define PACKAGE "$PACKAGE" +_ACEOF + + +cat >>confdefs.h <<_ACEOF +#define VERSION "$VERSION" +_ACEOF + +# Some tools Automake needs. + +ACLOCAL=${ACLOCAL-"${am_missing_run}aclocal-${am__api_version}"} + + +AUTOCONF=${AUTOCONF-"${am_missing_run}autoconf"} + + +AUTOMAKE=${AUTOMAKE-"${am_missing_run}automake-${am__api_version}"} + + +AUTOHEADER=${AUTOHEADER-"${am_missing_run}autoheader"} + + +MAKEINFO=${MAKEINFO-"${am_missing_run}makeinfo"} + +# We need awk for the "check" target. The system "awk" is bad on +# some platforms. +# Always define AMTAR for backward compatibility. Yes, it's still used +# in the wild :-( We should find a proper way to deprecate it ... +AMTAR='$${TAR-tar}' + +am__tar='$${TAR-tar} chof - "$$tardir"' am__untar='$${TAR-tar} xf -' + + + + + +ac_config_headers="$ac_config_headers config.h" + + + +case `pwd` in + *\ * | *\ *) + { $as_echo "$as_me:${as_lineno-2771}: WARNING: Libtool does not cope well with whitespace in \`pwd\`" >&5 +$as_echo "$as_me: WARNING: Libtool does not cope well with whitespace in \`pwd\`" >&2;} ;; +esac + + + +macro_version='2.4.2' +macro_revision='1.3337' + + + + + + + + + + + + + +ltmain="$ac_aux_dir/ltmain.sh" + +# Make sure we can run config.sub. +$SHELL "$ac_aux_dir/config.sub" sun4 >/dev/null 2>&1 || + as_fn_error $? "cannot run $SHELL $ac_aux_dir/config.sub" "2796" 5 + +{ $as_echo "$as_me:${as_lineno-2798}: checking build system type" >&5 +$as_echo_n "checking build system type... " >&6; } +if ${ac_cv_build+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_build_alias=$build_alias +test "x$ac_build_alias" = x && + ac_build_alias=`$SHELL "$ac_aux_dir/config.guess"` +test "x$ac_build_alias" = x && + as_fn_error $? "cannot guess build type; you must specify one" "2807" 5 +ac_cv_build=`$SHELL "$ac_aux_dir/config.sub" $ac_build_alias` || + as_fn_error $? "$SHELL $ac_aux_dir/config.sub $ac_build_alias failed" "2809" 5 + +fi +{ $as_echo "$as_me:${as_lineno-2812}: result: $ac_cv_build" >&5 +$as_echo "$ac_cv_build" >&6; } +case $ac_cv_build in +*-*-*) ;; +*) as_fn_error $? "invalid value of canonical build" "2816" 5;; +esac +build=$ac_cv_build +ac_save_IFS=$IFS; IFS='-' +set x $ac_cv_build +shift +build_cpu=$1 +build_vendor=$2 +shift; shift +# Remember, the first character of IFS is used to create $*, +# except with old shells: +build_os=$* +IFS=$ac_save_IFS +case $build_os in *\ *) build_os=`echo "$build_os" | sed 's/ /-/g'`;; esac + + +{ $as_echo "$as_me:${as_lineno-2832}: checking host system type" >&5 +$as_echo_n "checking host system type... " >&6; } +if ${ac_cv_host+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test "x$host_alias" = x; then + ac_cv_host=$ac_cv_build +else + ac_cv_host=`$SHELL "$ac_aux_dir/config.sub" $host_alias` || + as_fn_error $? "$SHELL $ac_aux_dir/config.sub $host_alias failed" "2841" 5 +fi + +fi +{ $as_echo "$as_me:${as_lineno-2845}: result: $ac_cv_host" >&5 +$as_echo "$ac_cv_host" >&6; } +case $ac_cv_host in +*-*-*) ;; +*) as_fn_error $? "invalid value of canonical host" "2849" 5;; +esac +host=$ac_cv_host +ac_save_IFS=$IFS; IFS='-' +set x $ac_cv_host +shift +host_cpu=$1 +host_vendor=$2 +shift; shift +# Remember, the first character of IFS is used to create $*, +# except with old shells: +host_os=$* +IFS=$ac_save_IFS +case $host_os in *\ *) host_os=`echo "$host_os" | sed 's/ /-/g'`;; esac + + +# Backslashify metacharacters that are still active within +# double-quoted strings. +sed_quote_subst='s/\(["`$\\]\)/\\\1/g' + +# Same as above, but do not quote variable references. +double_quote_subst='s/\(["`\\]\)/\\\1/g' + +# Sed substitution to delay expansion of an escaped shell variable in a +# double_quote_subst'ed string. +delay_variable_subst='s/\\\\\\\\\\\$/\\\\\\$/g' + +# Sed substitution to delay expansion of an escaped single quote. +delay_single_quote_subst='s/'\''/'\'\\\\\\\'\''/g' + +# Sed substitution to avoid accidental globbing in evaled expressions +no_glob_subst='s/\*/\\\*/g' + +ECHO='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +ECHO=$ECHO$ECHO$ECHO$ECHO$ECHO +ECHO=$ECHO$ECHO$ECHO$ECHO$ECHO$ECHO + +{ $as_echo "$as_me:${as_lineno-2886}: checking how to print strings" >&5 +$as_echo_n "checking how to print strings... " >&6; } +# Test print first, because it will be a builtin if present. +if test "X`( print -r -- -n ) 2>/dev/null`" = X-n && \ + test "X`print -r -- $ECHO 2>/dev/null`" = "X$ECHO"; then + ECHO='print -r --' +elif test "X`printf %s $ECHO 2>/dev/null`" = "X$ECHO"; then + ECHO='printf %s\n' +else + # Use this function as a fallback that always works. + func_fallback_echo () + { + eval 'cat <<_LTECHO_EOF +$1 +_LTECHO_EOF' + } + ECHO='func_fallback_echo' +fi + +# func_echo_all arg... +# Invoke $ECHO with all args, space-separated. +func_echo_all () +{ + $ECHO "" +} + +case "$ECHO" in + printf*) { $as_echo "$as_me:${as_lineno-2913}: result: printf" >&5 +$as_echo "printf" >&6; } ;; + print*) { $as_echo "$as_me:${as_lineno-2915}: result: print -r" >&5 +$as_echo "print -r" >&6; } ;; + *) { $as_echo "$as_me:${as_lineno-2917}: result: cat" >&5 +$as_echo "cat" >&6; } ;; +esac + + + + + + + + + + + + + + +DEPDIR="${am__leading_dot}deps" + +ac_config_commands="$ac_config_commands depfiles" + + +am_make=${MAKE-make} +cat > confinc << 'END' +am__doit: + @echo this is the am__doit target +.PHONY: am__doit +END +# If we don't find an include directive, just comment out the code. +{ $as_echo "$as_me:${as_lineno-2946}: checking for style of include used by $am_make" >&5 +$as_echo_n "checking for style of include used by $am_make... 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" >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_CC="${ac_tool_prefix}gcc" + $as_echo "$as_me:${as_lineno-3021}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-3032}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-3035}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_CC"; then + ac_ct_CC=$CC + # Extract the first word of "gcc", so it can be a program name with args. +set dummy gcc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-3045}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_CC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_CC"; then + ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_CC="gcc" + $as_echo "$as_me:${as_lineno-3061}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_CC=$ac_cv_prog_ac_ct_CC +if test -n "$ac_ct_CC"; then + { $as_echo "$as_me:${as_lineno-3072}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-3075}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-3084}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi +else + CC="$ac_cv_prog_CC" +fi + +if test -z "$CC"; then + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args. +set dummy ${ac_tool_prefix}cc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-3098}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_CC="${ac_tool_prefix}cc" + $as_echo "$as_me:${as_lineno-3114}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-3125}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-3128}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + fi +fi +if test -z "$CC"; then + # Extract the first word of "cc", so it can be a program name with args. +set dummy cc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-3138}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else + ac_prog_rejected=no +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + if test "$as_dir/$ac_word$ac_exec_ext" = "/usr/ucb/cc"; then + ac_prog_rejected=yes + continue + fi + ac_cv_prog_CC="cc" + $as_echo "$as_me:${as_lineno-3159}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +if test $ac_prog_rejected = yes; then + # We found a bogon in the path, so make sure we never use it. + set dummy $ac_cv_prog_CC + shift + if test $# != 0; then + # We chose a different compiler from the bogus one. + # However, it has the same basename, so the bogon will be chosen + # first if we set CC to just the basename; use the full file name. + shift + ac_cv_prog_CC="$as_dir/$ac_word${1+' '}$@" + fi +fi +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-3182}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-3185}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$CC"; then + if test -n "$ac_tool_prefix"; then + for ac_prog in cl.exe + do + # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. +set dummy $ac_tool_prefix$ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-3197}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_CC="$ac_tool_prefix$ac_prog" + $as_echo "$as_me:${as_lineno-3213}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-3224}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-3227}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$CC" && break + done +fi +if test -z "$CC"; then + ac_ct_CC=$CC + for ac_prog in cl.exe +do + # Extract the first word of "$ac_prog", so it can be a program name with args. +set dummy $ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-3241}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_CC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_CC"; then + ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_CC="$ac_prog" + $as_echo "$as_me:${as_lineno-3257}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_CC=$ac_cv_prog_ac_ct_CC +if test -n "$ac_ct_CC"; then + { $as_echo "$as_me:${as_lineno-3268}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-3271}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$ac_ct_CC" && break +done + + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-3284}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi +fi + +fi + + +test -z "$CC" && { { $as_echo "$as_me:${as_lineno-3295}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "no acceptable C compiler found in \$PATH +See \`config.log' for more details" "3298" 5; } + +# Provide some information about the compiler. +$as_echo "$as_me:${as_lineno-3301}: checking for C compiler version" >&5 +set X $ac_compile +ac_compiler=$2 +for ac_option in --version -v -V -qversion; do + { { ac_try="$ac_compiler $ac_option >&5" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-3310}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compiler $ac_option >&5") 2>conftest.err + ac_status=$? + if test -s conftest.err; then + sed '10a\ +... rest of stderr output deleted ... + 10q' conftest.err >conftest.er1 + cat conftest.er1 >&5 + fi + rm -f conftest.er1 conftest.err + $as_echo "$as_me:${as_lineno-3321}: \$? = $ac_status" >&5 + test $ac_status = 0; } +done + +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +ac_clean_files_save=$ac_clean_files +ac_clean_files="$ac_clean_files a.out a.out.dSYM a.exe b.out" +# Try to create an executable without -o first, disregard a.out. +# It will help us diagnose broken compilers, and finding out an intuition +# of exeext. +{ $as_echo "$as_me:${as_lineno-3341}: checking whether the C compiler works" >&5 +$as_echo_n "checking whether the C compiler works... " >&6; } +ac_link_default=`$as_echo "$ac_link" | sed 's/ -o *conftest[^ ]*//'` + +# The possible output files: +ac_files="a.out conftest.exe conftest a.exe a_out.exe b.out conftest.*" + +ac_rmfiles= +for ac_file in $ac_files +do + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; + * ) ac_rmfiles="$ac_rmfiles $ac_file";; + esac +done +rm -f $ac_rmfiles + +if { { ac_try="$ac_link_default" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-3363}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link_default") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-3367}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + # Autoconf-2.13 could set the ac_cv_exeext variable to `no'. +# So ignore a value of `no', otherwise this would lead to `EXEEXT = no' +# in a Makefile. We should not override ac_cv_exeext if it was cached, +# so that the user can short-circuit this test for compilers unknown to +# Autoconf. +for ac_file in $ac_files '' +do + test -f "$ac_file" || continue + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) + ;; + [ab].out ) + # We found the default executable, but exeext='' is most + # certainly right. + break;; + *.* ) + if test "${ac_cv_exeext+set}" = set && test "$ac_cv_exeext" != no; + then :; else + ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` + fi + # We set ac_cv_exeext here because the later test for it is not + # safe: cross compilers may not add the suffix if given an `-o' + # argument, so we may need to know it at that point already. + # Even if this section looks crufty: it has the advantage of + # actually working. + break;; + * ) + break;; + esac +done +test "$ac_cv_exeext" = no && ac_cv_exeext= + +else + ac_file='' +fi +if test -z "$ac_file"; then : + { $as_echo "$as_me:${as_lineno-3405}: result: no" >&5 +$as_echo "no" >&6; } +$as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 + +{ { $as_echo "$as_me:${as_lineno-3410}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error 77 "C compiler cannot create executables +See \`config.log' for more details" "3413" 5; } +else + { $as_echo "$as_me:${as_lineno-3415}: result: yes" >&5 +$as_echo "yes" >&6; } +fi +{ $as_echo "$as_me:${as_lineno-3418}: checking for C compiler default output file name" >&5 +$as_echo_n "checking for C compiler default output file name... " >&6; } +{ $as_echo "$as_me:${as_lineno-3420}: result: $ac_file" >&5 +$as_echo "$ac_file" >&6; } +ac_exeext=$ac_cv_exeext + +rm -f -r a.out a.out.dSYM a.exe conftest$ac_cv_exeext b.out +ac_clean_files=$ac_clean_files_save +{ $as_echo "$as_me:${as_lineno-3426}: checking for suffix of executables" >&5 +$as_echo_n "checking for suffix of executables... " >&6; } +if { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-3433}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-3437}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + # If both `conftest.exe' and `conftest' are `present' (well, observable) +# catch `conftest.exe'. For instance with Cygwin, `ls conftest' will +# work properly (i.e., refer to `conftest.exe'), while it won't with +# `rm'. +for ac_file in conftest.exe conftest conftest.*; do + test -f "$ac_file" || continue + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM | *.o | *.obj ) ;; + *.* ) ac_cv_exeext=`expr "$ac_file" : '[^.]*\(\..*\)'` + break;; + * ) break;; + esac +done +else + { { $as_echo "$as_me:${as_lineno-3453}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "cannot compute suffix of executables: cannot compile and link +See \`config.log' for more details" "3456" 5; } +fi +rm -f conftest conftest$ac_cv_exeext +{ $as_echo "$as_me:${as_lineno-3459}: result: $ac_cv_exeext" >&5 +$as_echo "$ac_cv_exeext" >&6; } + +rm -f conftest.$ac_ext +EXEEXT=$ac_cv_exeext +ac_exeext=$EXEEXT +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <stdio.h> +int +main () +{ +FILE *f = fopen ("conftest.out", "w"); + return ferror (f) || fclose (f) != 0; + + ; + return 0; +} +_ACEOF +ac_clean_files="$ac_clean_files conftest.out" +# Check that the compiler produces executables we can run. If not, either +# the compiler is broken, or we cross compile. +{ $as_echo "$as_me:${as_lineno-3481}: checking whether we are cross compiling" >&5 +$as_echo_n "checking whether we are cross compiling... " >&6; } +if test "$cross_compiling" != yes; then + { { ac_try="$ac_link" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-3489}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_link") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-3493}: \$? = $ac_status" >&5 + test $ac_status = 0; } + if { ac_try='./conftest$ac_cv_exeext' + { { case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-3500}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_try") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-3504}: \$? = $ac_status" >&5 + test $ac_status = 0; }; }; then + cross_compiling=no + else + if test "$cross_compiling" = maybe; then + cross_compiling=yes + else + { { $as_echo "$as_me:${as_lineno-3511}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "cannot run C compiled programs. +If you meant to cross compile, use \`--host'. +See \`config.log' for more details" "3515" 5; } + fi + fi +fi +{ $as_echo "$as_me:${as_lineno-3519}: result: $cross_compiling" >&5 +$as_echo "$cross_compiling" >&6; } + +rm -f conftest.$ac_ext conftest$ac_cv_exeext conftest.out +ac_clean_files=$ac_clean_files_save +{ $as_echo "$as_me:${as_lineno-3524}: checking for suffix of object files" >&5 +$as_echo_n "checking for suffix of object files... " >&6; } +if ${ac_cv_objext+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +rm -f conftest.o conftest.obj +if { { ac_try="$ac_compile" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-3546}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compile") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-3550}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then : + for ac_file in conftest.o conftest.obj conftest.*; do + test -f "$ac_file" || continue; + case $ac_file in + *.$ac_ext | *.xcoff | *.tds | *.d | *.pdb | *.xSYM | *.bb | *.bbg | *.map | *.inf | *.dSYM ) ;; + *) ac_cv_objext=`expr "$ac_file" : '.*\.\(.*\)'` + break;; + esac +done +else + $as_echo "$as_me: failed program was:" >&5 +sed 's/^/| /' conftest.$ac_ext >&5 + +{ { $as_echo "$as_me:${as_lineno-3564}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "cannot compute suffix of object files: cannot compile +See \`config.log' for more details" "3567" 5; } +fi +rm -f conftest.$ac_cv_objext conftest.$ac_ext +fi +{ $as_echo "$as_me:${as_lineno-3571}: result: $ac_cv_objext" >&5 +$as_echo "$ac_cv_objext" >&6; } +OBJEXT=$ac_cv_objext +ac_objext=$OBJEXT +{ $as_echo "$as_me:${as_lineno-3575}: checking whether we are using the GNU C compiler" >&5 +$as_echo_n "checking whether we are using the GNU C compiler... " >&6; } +if ${ac_cv_c_compiler_gnu+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ +#ifndef __GNUC__ + choke me +#endif + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "3594"; then : + ac_compiler_gnu=yes +else + ac_compiler_gnu=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +ac_cv_c_compiler_gnu=$ac_compiler_gnu + +fi +{ $as_echo "$as_me:${as_lineno-3603}: result: $ac_cv_c_compiler_gnu" >&5 +$as_echo "$ac_cv_c_compiler_gnu" >&6; } +if test $ac_compiler_gnu = yes; then + GCC=yes +else + GCC= +fi +ac_test_CFLAGS=${CFLAGS+set} +ac_save_CFLAGS=$CFLAGS +{ $as_echo "$as_me:${as_lineno-3612}: checking whether $CC accepts -g" >&5 +$as_echo_n "checking whether $CC accepts -g... 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Curiously '\x00'!='x' always comes out true, for an + array size at least. It's necessary to write '\x00'==0 to get something + that's true only with -std. */ +int osf4_cc_array ['\x00' == 0 ? 1 : -1]; + +/* IBM C 6 for AIX is almost-ANSI by default, but it replaces macro parameters + inside strings and character constants. */ +#define FOO(x) 'x' +int xlc6_cc_array[FOO(a) == 'x' ? 1 : -1]; + +int test (int i, double x); +struct s1 {int (*f) (int a);}; +struct s2 {int (*f) (double a);}; +int pairnames (int, char **, FILE *(*)(struct buf *, struct stat *, int), int, int); +int argc; +char **argv; +int +main () +{ +return f (e, argv, 0) != argv[0] || f (e, argv, 1) != argv[1]; + ; + return 0; +} +_ACEOF +for ac_arg in '' -qlanglvl=extc89 -qlanglvl=ansi -std \ + -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__" +do + CC="$ac_save_CC $ac_arg" + if ac_fn_c_try_compile "3754"; then : + ac_cv_prog_cc_c89=$ac_arg +fi +rm -f core conftest.err conftest.$ac_objext + test "x$ac_cv_prog_cc_c89" != "xno" && break +done +rm -f conftest.$ac_ext +CC=$ac_save_CC + +fi +# AC_CACHE_VAL +case "x$ac_cv_prog_cc_c89" in + x) + { $as_echo "$as_me:${as_lineno-3767}: result: none needed" >&5 +$as_echo "none needed" >&6; } ;; + xno) + { $as_echo "$as_me:${as_lineno-3770}: result: unsupported" >&5 +$as_echo "unsupported" >&6; } ;; + *) + CC="$CC $ac_cv_prog_cc_c89" + { $as_echo "$as_me:${as_lineno-3774}: result: $ac_cv_prog_cc_c89" >&5 +$as_echo "$ac_cv_prog_cc_c89" >&6; } ;; +esac +if test "x$ac_cv_prog_cc_c89" != xno; then : + +fi + +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + +depcc="$CC" am_compiler_list= + +{ $as_echo "$as_me:${as_lineno-3789}: checking dependency style of $depcc" >&5 +$as_echo_n "checking dependency style of $depcc... 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For instance + # both Tru64's cc and ICC support -MD to output dependencies as a + # side effect of compilation, but ICC will put the dependencies in + # the current directory while Tru64 will put them in the object + # directory. + mkdir sub + + am_cv_CC_dependencies_compiler_type=none + if test "$am_compiler_list" = ""; then + am_compiler_list=`sed -n 's/^#*\([a-zA-Z0-9]*\))$/\1/p' < ./depcomp` + fi + am__universal=false + case " $depcc " in #( + *\ -arch\ *\ -arch\ *) am__universal=true ;; + esac + + for depmode in $am_compiler_list; do + # Setup a source with many dependencies, because some compilers + # like to wrap large dependency lists on column 80 (with \), and + # we should not choose a depcomp mode which is confused by this. + # + # We need to recreate these files for each test, as the compiler may + # overwrite some of them when testing with obscure command lines. + # This happens at least with the AIX C compiler. + : > sub/conftest.c + for i in 1 2 3 4 5 6; do + echo '#include "conftst'$i'.h"' >> sub/conftest.c + # Using `: > sub/conftst$i.h' creates only sub/conftst1.h with + # Solaris 8's {/usr,}/bin/sh. + touch sub/conftst$i.h + done + echo "${am__include} ${am__quote}sub/conftest.Po${am__quote}" > confmf + + # We check with `-c' and `-o' for the sake of the "dashmstdout" + # mode. 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These depmodes are late enough in the game, and + # so weak that their functioning should not be impacted. + am__obj=conftest.${OBJEXT-o} + am__minus_obj= + ;; + none) break ;; + esac + if depmode=$depmode \ + source=sub/conftest.c object=$am__obj \ + depfile=sub/conftest.Po tmpdepfile=sub/conftest.TPo \ + $SHELL ./depcomp $depcc -c $am__minus_obj sub/conftest.c \ + >/dev/null 2>conftest.err && + grep sub/conftst1.h sub/conftest.Po > /dev/null 2>&1 && + grep sub/conftst6.h sub/conftest.Po > /dev/null 2>&1 && + grep $am__obj sub/conftest.Po > /dev/null 2>&1 && + ${MAKE-make} -s -f confmf > /dev/null 2>&1; then + # icc doesn't choke on unknown options, it will just issue warnings + # or remarks (even with -Werror). So we grep stderr for any message + # that says an option was ignored or not supported. + # When given -MP, icc 7.0 and 7.1 complain thusly: + # icc: Command line warning: ignoring option '-M'; no argument required + # The diagnosis changed in icc 8.0: + # icc: Command line remark: option '-MP' not supported + if (grep 'ignoring option' conftest.err || + grep 'not supported' conftest.err) >/dev/null 2>&1; then :; else + am_cv_CC_dependencies_compiler_type=$depmode + break + fi + fi + done + + cd .. + rm -rf conftest.dir +else + am_cv_CC_dependencies_compiler_type=none +fi + +fi +{ $as_echo "$as_me:${as_lineno-3900}: result: $am_cv_CC_dependencies_compiler_type" >&5 +$as_echo "$am_cv_CC_dependencies_compiler_type" >&6; } +CCDEPMODE=depmode=$am_cv_CC_dependencies_compiler_type + + if + test "x$enable_dependency_tracking" != xno \ + && test "$am_cv_CC_dependencies_compiler_type" = gcc3; then + am__fastdepCC_TRUE= + am__fastdepCC_FALSE='#' +else + am__fastdepCC_TRUE='#' + am__fastdepCC_FALSE= +fi + + +{ $as_echo "$as_me:${as_lineno-3915}: checking for a sed that does not truncate output" >&5 +$as_echo_n "checking for a sed that does not truncate output... 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"no acceptable fgrep could be found in $PATH$PATH_SEPARATOR/usr/xpg4/bin" "4181" 5 + fi +else + ac_cv_path_FGREP=$FGREP +fi + + fi +fi +{ $as_echo "$as_me:${as_lineno-4189}: result: $ac_cv_path_FGREP" >&5 +$as_echo "$ac_cv_path_FGREP" >&6; } + FGREP="$ac_cv_path_FGREP" + + +test -z "$GREP" && GREP=grep + + + + + + + + + + + + + + + + + + + +# Check whether --with-gnu-ld was given. +if test "${with_gnu_ld+set}" = set; then : + withval=$with_gnu_ld; test "$withval" = no || with_gnu_ld=yes +else + with_gnu_ld=no +fi + +ac_prog=ld +if test "$GCC" = yes; then + # Check if gcc -print-prog-name=ld gives a path. + { $as_echo "$as_me:${as_lineno-4224}: checking for ld used by $CC" >&5 +$as_echo_n "checking for ld used by $CC... " >&6; } + case $host in + *-*-mingw*) + # gcc leaves a trailing carriage return which upsets mingw + ac_prog=`($CC -print-prog-name=ld) 2>&5 | tr -d '\015'` ;; + *) + ac_prog=`($CC -print-prog-name=ld) 2>&5` ;; + esac + case $ac_prog in + # Accept absolute paths. + [\\/]* | ?:[\\/]*) + re_direlt='/[^/][^/]*/\.\./' + # Canonicalize the pathname of ld + ac_prog=`$ECHO "$ac_prog"| $SED 's%\\\\%/%g'` + while $ECHO "$ac_prog" | $GREP "$re_direlt" > /dev/null 2>&1; do + ac_prog=`$ECHO $ac_prog| $SED "s%$re_direlt%/%"` + done + test -z "$LD" && LD="$ac_prog" + ;; + "") + # If it fails, then pretend we aren't using GCC. + ac_prog=ld + ;; + *) + # If it is relative, then search for the first ld in PATH. + with_gnu_ld=unknown + ;; + esac +elif test "$with_gnu_ld" = yes; then + { $as_echo "$as_me:${as_lineno-4254}: checking for GNU ld" >&5 +$as_echo_n "checking for GNU ld... " >&6; } +else + { $as_echo "$as_me:${as_lineno-4257}: checking for non-GNU ld" >&5 +$as_echo_n "checking for non-GNU ld... " >&6; } +fi +if ${lt_cv_path_LD+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -z "$LD"; then + lt_save_ifs="$IFS"; IFS=$PATH_SEPARATOR + for ac_dir in $PATH; do + IFS="$lt_save_ifs" + test -z "$ac_dir" && ac_dir=. + if test -f "$ac_dir/$ac_prog" || test -f "$ac_dir/$ac_prog$ac_exeext"; then + lt_cv_path_LD="$ac_dir/$ac_prog" + # Check to see if the program is GNU ld. I'd rather use --version, + # but apparently some variants of GNU ld only accept -v. + # Break only if it was the GNU/non-GNU ld that we prefer. + case `"$lt_cv_path_LD" -v 2>&1 </dev/null` in + *GNU* | *'with BFD'*) + test "$with_gnu_ld" != no && break + ;; + *) + test "$with_gnu_ld" != yes && break + ;; + esac + fi + done + IFS="$lt_save_ifs" +else + lt_cv_path_LD="$LD" # Let the user override the test with a path. +fi +fi + +LD="$lt_cv_path_LD" +if test -n "$LD"; then + { $as_echo "$as_me:${as_lineno-4291}: result: $LD" >&5 +$as_echo "$LD" >&6; } +else + { $as_echo "$as_me:${as_lineno-4294}: result: no" >&5 +$as_echo "no" >&6; } +fi +test -z "$LD" && as_fn_error $? "no acceptable ld found in \$PATH" "4297" 5 +{ $as_echo "$as_me:${as_lineno-4298}: checking if the linker ($LD) is GNU ld" >&5 +$as_echo_n "checking if the linker ($LD) is GNU ld... " >&6; } +if ${lt_cv_prog_gnu_ld+:} false; then : + $as_echo_n "(cached) " >&6 +else + # I'd rather use --version here, but apparently some GNU lds only accept -v. +case `$LD -v 2>&1 </dev/null` in +*GNU* | *'with BFD'*) + lt_cv_prog_gnu_ld=yes + ;; +*) + lt_cv_prog_gnu_ld=no + ;; +esac +fi +{ $as_echo "$as_me:${as_lineno-4313}: result: $lt_cv_prog_gnu_ld" >&5 +$as_echo "$lt_cv_prog_gnu_ld" >&6; } +with_gnu_ld=$lt_cv_prog_gnu_ld + + + + + + + + + +{ $as_echo "$as_me:${as_lineno-4325}: checking for BSD- or MS-compatible name lister (nm)" >&5 +$as_echo_n "checking for BSD- or MS-compatible name lister (nm)... " >&6; } +if ${lt_cv_path_NM+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$NM"; then + # Let the user override the test. + lt_cv_path_NM="$NM" +else + lt_nm_to_check="${ac_tool_prefix}nm" + if test -n "$ac_tool_prefix" && test "$build" = "$host"; then + lt_nm_to_check="$lt_nm_to_check nm" + fi + for lt_tmp_nm in $lt_nm_to_check; do + lt_save_ifs="$IFS"; IFS=$PATH_SEPARATOR + for ac_dir in $PATH /usr/ccs/bin/elf /usr/ccs/bin /usr/ucb /bin; do + IFS="$lt_save_ifs" + test -z "$ac_dir" && ac_dir=. + tmp_nm="$ac_dir/$lt_tmp_nm" + if test -f "$tmp_nm" || test -f "$tmp_nm$ac_exeext" ; then + # Check to see if the nm accepts a BSD-compat flag. + # Adding the `sed 1q' prevents false positives on HP-UX, which says: + # nm: unknown option "B" ignored + # Tru64's nm complains that /dev/null is an invalid object file + case `"$tmp_nm" -B /dev/null 2>&1 | sed '1q'` in + */dev/null* | *'Invalid file or object type'*) + lt_cv_path_NM="$tmp_nm -B" + break + ;; + *) + case `"$tmp_nm" -p /dev/null 2>&1 | sed '1q'` in + */dev/null*) + lt_cv_path_NM="$tmp_nm -p" + break + ;; + *) + lt_cv_path_NM=${lt_cv_path_NM="$tmp_nm"} # keep the first match, but + continue # so that we can try to find one that supports BSD flags + ;; + esac + ;; + esac + fi + done + IFS="$lt_save_ifs" + done + : ${lt_cv_path_NM=no} +fi +fi +{ $as_echo "$as_me:${as_lineno-4374}: result: $lt_cv_path_NM" >&5 +$as_echo "$lt_cv_path_NM" >&6; } +if test "$lt_cv_path_NM" != "no"; then + NM="$lt_cv_path_NM" +else + # Didn't find any BSD compatible name lister, look for dumpbin. + if test -n "$DUMPBIN"; then : + # Let the user override the test. + else + if test -n "$ac_tool_prefix"; then + for ac_prog in dumpbin "link -dump" + do + # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. +set dummy $ac_tool_prefix$ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-4388}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_DUMPBIN+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$DUMPBIN"; then + ac_cv_prog_DUMPBIN="$DUMPBIN" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_DUMPBIN="$ac_tool_prefix$ac_prog" + $as_echo "$as_me:${as_lineno-4404}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +DUMPBIN=$ac_cv_prog_DUMPBIN +if test -n "$DUMPBIN"; then + { $as_echo "$as_me:${as_lineno-4415}: result: $DUMPBIN" >&5 +$as_echo "$DUMPBIN" >&6; } +else + { $as_echo "$as_me:${as_lineno-4418}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$DUMPBIN" && break + done +fi +if test -z "$DUMPBIN"; then + ac_ct_DUMPBIN=$DUMPBIN + for ac_prog in dumpbin "link -dump" +do + # Extract the first word of "$ac_prog", so it can be a program name with args. +set dummy $ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-4432}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_DUMPBIN+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_DUMPBIN"; then + ac_cv_prog_ac_ct_DUMPBIN="$ac_ct_DUMPBIN" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_DUMPBIN="$ac_prog" + $as_echo "$as_me:${as_lineno-4448}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_DUMPBIN=$ac_cv_prog_ac_ct_DUMPBIN +if test -n "$ac_ct_DUMPBIN"; then + { $as_echo "$as_me:${as_lineno-4459}: result: $ac_ct_DUMPBIN" >&5 +$as_echo "$ac_ct_DUMPBIN" >&6; } +else + { $as_echo "$as_me:${as_lineno-4462}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$ac_ct_DUMPBIN" && break +done + + if test "x$ac_ct_DUMPBIN" = x; then + DUMPBIN=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-4475}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + DUMPBIN=$ac_ct_DUMPBIN + fi +fi + + case `$DUMPBIN -symbols /dev/null 2>&1 | sed '1q'` in + *COFF*) + DUMPBIN="$DUMPBIN -symbols" + ;; + *) + DUMPBIN=: + ;; + esac + fi + + if test "$DUMPBIN" != ":"; then + NM="$DUMPBIN" + fi +fi +test -z "$NM" && NM=nm + + + + + + +{ $as_echo "$as_me:${as_lineno-4504}: checking the name lister ($NM) interface" >&5 +$as_echo_n "checking the name lister ($NM) interface... " >&6; } +if ${lt_cv_nm_interface+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_nm_interface="BSD nm" + echo "int some_variable = 0;" > conftest.$ac_ext + (eval echo "\"\$as_me:4511: $ac_compile\"" >&5) + (eval "$ac_compile" 2>conftest.err) + cat conftest.err >&5 + (eval echo "\"\$as_me:4514: $NM \\\"conftest.$ac_objext\\\"\"" >&5) + (eval "$NM \"conftest.$ac_objext\"" 2>conftest.err > conftest.out) + cat conftest.err >&5 + (eval echo "\"\$as_me:4517: output\"" >&5) + cat conftest.out >&5 + if $GREP 'External.*some_variable' conftest.out > /dev/null; then + lt_cv_nm_interface="MS dumpbin" + fi + rm -f conftest* +fi +{ $as_echo "$as_me:${as_lineno-4524}: result: $lt_cv_nm_interface" >&5 +$as_echo "$lt_cv_nm_interface" >&6; } + +{ $as_echo "$as_me:${as_lineno-4527}: checking whether ln -s works" >&5 +$as_echo_n "checking whether ln -s works... " >&6; } +LN_S=$as_ln_s +if test "$LN_S" = "ln -s"; then + { $as_echo "$as_me:${as_lineno-4531}: result: yes" >&5 +$as_echo "yes" >&6; } +else + { $as_echo "$as_me:${as_lineno-4534}: result: no, using $LN_S" >&5 +$as_echo "no, using $LN_S" >&6; } +fi + +# find the maximum length of command line arguments +{ $as_echo "$as_me:${as_lineno-4539}: checking the maximum length of command line arguments" >&5 +$as_echo_n "checking the maximum length of command line arguments... " >&6; } +if ${lt_cv_sys_max_cmd_len+:} false; then : + $as_echo_n "(cached) " >&6 +else + i=0 + teststring="ABCD" + + case $build_os in + msdosdjgpp*) + # On DJGPP, this test can blow up pretty badly due to problems in libc + # (any single argument exceeding 2000 bytes causes a buffer overrun + # during glob expansion). Even if it were fixed, the result of this + # check would be larger than it should be. + lt_cv_sys_max_cmd_len=12288; # 12K is about right + ;; + + gnu*) + # Under GNU Hurd, this test is not required because there is + # no limit to the length of command line arguments. + # Libtool will interpret -1 as no limit whatsoever + lt_cv_sys_max_cmd_len=-1; + ;; + + cygwin* | mingw* | cegcc*) + # On Win9x/ME, this test blows up -- it succeeds, but takes + # about 5 minutes as the teststring grows exponentially. + # Worse, since 9x/ME are not pre-emptively multitasking, + # you end up with a "frozen" computer, even though with patience + # the test eventually succeeds (with a max line length of 256k). + # Instead, let's just punt: use the minimum linelength reported by + # all of the supported platforms: 8192 (on NT/2K/XP). + lt_cv_sys_max_cmd_len=8192; + ;; + + mint*) + # On MiNT this can take a long time and run out of memory. + lt_cv_sys_max_cmd_len=8192; + ;; + + amigaos*) + # On AmigaOS with pdksh, this test takes hours, literally. + # So we just punt and use a minimum line length of 8192. + lt_cv_sys_max_cmd_len=8192; + ;; + + netbsd* | freebsd* | openbsd* | darwin* | dragonfly*) + # This has been around since 386BSD, at least. Likely further. + if test -x /sbin/sysctl; then + lt_cv_sys_max_cmd_len=`/sbin/sysctl -n kern.argmax` + elif test -x /usr/sbin/sysctl; then + lt_cv_sys_max_cmd_len=`/usr/sbin/sysctl -n kern.argmax` + else + lt_cv_sys_max_cmd_len=65536 # usable default for all BSDs + fi + # And add a safety zone + lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 4` + lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \* 3` + ;; + + interix*) + # We know the value 262144 and hardcode it with a safety zone (like BSD) + lt_cv_sys_max_cmd_len=196608 + ;; + + os2*) + # The test takes a long time on OS/2. + lt_cv_sys_max_cmd_len=8192 + ;; + + osf*) + # Dr. Hans Ekkehard Plesser reports seeing a kernel panic running configure + # due to this test when exec_disable_arg_limit is 1 on Tru64. It is not + # nice to cause kernel panics so lets avoid the loop below. + # First set a reasonable default. + lt_cv_sys_max_cmd_len=16384 + # + if test -x /sbin/sysconfig; then + case `/sbin/sysconfig -q proc exec_disable_arg_limit` in + *1*) lt_cv_sys_max_cmd_len=-1 ;; + esac + fi + ;; + sco3.2v5*) + lt_cv_sys_max_cmd_len=102400 + ;; + sysv5* | sco5v6* | sysv4.2uw2*) + kargmax=`grep ARG_MAX /etc/conf/cf.d/stune 2>/dev/null` + if test -n "$kargmax"; then + lt_cv_sys_max_cmd_len=`echo $kargmax | sed 's/.*[ ]//'` + else + lt_cv_sys_max_cmd_len=32768 + fi + ;; + *) + lt_cv_sys_max_cmd_len=`(getconf ARG_MAX) 2> /dev/null` + if test -n "$lt_cv_sys_max_cmd_len"; then + lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 4` + lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \* 3` + else + # Make teststring a little bigger before we do anything with it. + # a 1K string should be a reasonable start. + for i in 1 2 3 4 5 6 7 8 ; do + teststring=$teststring$teststring + done + SHELL=${SHELL-${CONFIG_SHELL-/bin/sh}} + # If test is not a shell built-in, we'll probably end up computing a + # maximum length that is only half of the actual maximum length, but + # we can't tell. + while { test "X"`env echo "$teststring$teststring" 2>/dev/null` \ + = "X$teststring$teststring"; } >/dev/null 2>&1 && + test $i != 17 # 1/2 MB should be enough + do + i=`expr $i + 1` + teststring=$teststring$teststring + done + # Only check the string length outside the loop. + lt_cv_sys_max_cmd_len=`expr "X$teststring" : ".*" 2>&1` + teststring= + # Add a significant safety factor because C++ compilers can tack on + # massive amounts of additional arguments before passing them to the + # linker. It appears as though 1/2 is a usable value. + lt_cv_sys_max_cmd_len=`expr $lt_cv_sys_max_cmd_len \/ 2` + fi + ;; + esac + +fi + +if test -n $lt_cv_sys_max_cmd_len ; then + { $as_echo "$as_me:${as_lineno-4669}: result: $lt_cv_sys_max_cmd_len" >&5 +$as_echo "$lt_cv_sys_max_cmd_len" >&6; } +else + { $as_echo "$as_me:${as_lineno-4672}: result: none" >&5 +$as_echo "none" >&6; } +fi +max_cmd_len=$lt_cv_sys_max_cmd_len + + + + + + +: ${CP="cp -f"} +: ${MV="mv -f"} +: ${RM="rm -f"} + +{ $as_echo "$as_me:${as_lineno-4686}: checking whether the shell understands some XSI constructs" >&5 +$as_echo_n "checking whether the shell understands some XSI constructs... " >&6; } +# Try some XSI features +xsi_shell=no +( _lt_dummy="a/b/c" + test "${_lt_dummy##*/},${_lt_dummy%/*},${_lt_dummy#??}"${_lt_dummy%"$_lt_dummy"}, \ + = c,a/b,b/c, \ + && eval 'test $(( 1 + 1 )) -eq 2 \ + && test "${#_lt_dummy}" -eq 5' ) >/dev/null 2>&1 \ + && xsi_shell=yes +{ $as_echo "$as_me:${as_lineno-4696}: result: $xsi_shell" >&5 +$as_echo "$xsi_shell" >&6; } + + +{ $as_echo "$as_me:${as_lineno-4700}: checking whether the shell understands \"+=\"" >&5 +$as_echo_n "checking whether the shell understands \"+=\"... " >&6; } +lt_shell_append=no +( foo=bar; set foo baz; eval "$1+=\$2" && test "$foo" = barbaz ) \ + >/dev/null 2>&1 \ + && lt_shell_append=yes +{ $as_echo "$as_me:${as_lineno-4706}: result: $lt_shell_append" >&5 +$as_echo "$lt_shell_append" >&6; } + + +if ( (MAIL=60; unset MAIL) || exit) >/dev/null 2>&1; then + lt_unset=unset +else + lt_unset=false +fi + + + + + +# test EBCDIC or ASCII +case `echo X|tr X '\101'` in + A) # ASCII based system + # \n is not interpreted correctly by Solaris 8 /usr/ucb/tr + lt_SP2NL='tr \040 \012' + lt_NL2SP='tr \015\012 \040\040' + ;; + *) # EBCDIC based system + lt_SP2NL='tr \100 \n' + lt_NL2SP='tr \r\n \100\100' + ;; +esac + + + + + + + + + +{ $as_echo "$as_me:${as_lineno-4741}: checking how to convert $build file names to $host format" >&5 +$as_echo_n "checking how to convert $build file names to $host format... " >&6; } +if ${lt_cv_to_host_file_cmd+:} false; then : + $as_echo_n "(cached) " >&6 +else + case $host in + *-*-mingw* ) + case $build in + *-*-mingw* ) # actually msys + lt_cv_to_host_file_cmd=func_convert_file_msys_to_w32 + ;; + *-*-cygwin* ) + lt_cv_to_host_file_cmd=func_convert_file_cygwin_to_w32 + ;; + * ) # otherwise, assume *nix + lt_cv_to_host_file_cmd=func_convert_file_nix_to_w32 + ;; + esac + ;; + *-*-cygwin* ) + case $build in + *-*-mingw* ) # actually msys + lt_cv_to_host_file_cmd=func_convert_file_msys_to_cygwin + ;; + *-*-cygwin* ) + lt_cv_to_host_file_cmd=func_convert_file_noop + ;; + * ) # otherwise, assume *nix + lt_cv_to_host_file_cmd=func_convert_file_nix_to_cygwin + ;; + esac + ;; + * ) # unhandled hosts (and "normal" native builds) + lt_cv_to_host_file_cmd=func_convert_file_noop + ;; +esac + +fi + +to_host_file_cmd=$lt_cv_to_host_file_cmd +{ $as_echo "$as_me:${as_lineno-4781}: result: $lt_cv_to_host_file_cmd" >&5 +$as_echo "$lt_cv_to_host_file_cmd" >&6; } + + + + + +{ $as_echo "$as_me:${as_lineno-4788}: checking how to convert $build file names to toolchain format" >&5 +$as_echo_n "checking how to convert $build file names to toolchain format... " >&6; } +if ${lt_cv_to_tool_file_cmd+:} false; then : + $as_echo_n "(cached) " >&6 +else + #assume ordinary cross tools, or native build. +lt_cv_to_tool_file_cmd=func_convert_file_noop +case $host in + *-*-mingw* ) + case $build in + *-*-mingw* ) # actually msys + lt_cv_to_tool_file_cmd=func_convert_file_msys_to_w32 + ;; + esac + ;; +esac + +fi + +to_tool_file_cmd=$lt_cv_to_tool_file_cmd +{ $as_echo "$as_me:${as_lineno-4808}: result: $lt_cv_to_tool_file_cmd" >&5 +$as_echo "$lt_cv_to_tool_file_cmd" >&6; } + + + + + +{ $as_echo "$as_me:${as_lineno-4815}: checking for $LD option to reload object files" >&5 +$as_echo_n "checking for $LD option to reload object files... " >&6; } +if ${lt_cv_ld_reload_flag+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_ld_reload_flag='-r' +fi +{ $as_echo "$as_me:${as_lineno-4822}: result: $lt_cv_ld_reload_flag" >&5 +$as_echo "$lt_cv_ld_reload_flag" >&6; } +reload_flag=$lt_cv_ld_reload_flag +case $reload_flag in +"" | " "*) ;; +*) reload_flag=" $reload_flag" ;; +esac +reload_cmds='$LD$reload_flag -o $output$reload_objs' +case $host_os in + cygwin* | mingw* | pw32* | cegcc*) + if test "$GCC" != yes; then + reload_cmds=false + fi + ;; + darwin*) + if test "$GCC" = yes; then + reload_cmds='$LTCC $LTCFLAGS -nostdlib ${wl}-r -o $output$reload_objs' + else + reload_cmds='$LD$reload_flag -o $output$reload_objs' + fi + ;; +esac + + + + + + + + + +if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}objdump", so it can be a program name with args. +set dummy ${ac_tool_prefix}objdump; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-4856}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_OBJDUMP+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$OBJDUMP"; then + ac_cv_prog_OBJDUMP="$OBJDUMP" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_OBJDUMP="${ac_tool_prefix}objdump" + $as_echo "$as_me:${as_lineno-4872}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +OBJDUMP=$ac_cv_prog_OBJDUMP +if test -n "$OBJDUMP"; then + { $as_echo "$as_me:${as_lineno-4883}: result: $OBJDUMP" >&5 +$as_echo "$OBJDUMP" >&6; } +else + { $as_echo "$as_me:${as_lineno-4886}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_OBJDUMP"; then + ac_ct_OBJDUMP=$OBJDUMP + # Extract the first word of "objdump", so it can be a program name with args. +set dummy objdump; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-4896}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_OBJDUMP+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_OBJDUMP"; then + ac_cv_prog_ac_ct_OBJDUMP="$ac_ct_OBJDUMP" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_OBJDUMP="objdump" + $as_echo "$as_me:${as_lineno-4912}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_OBJDUMP=$ac_cv_prog_ac_ct_OBJDUMP +if test -n "$ac_ct_OBJDUMP"; then + { $as_echo "$as_me:${as_lineno-4923}: result: $ac_ct_OBJDUMP" >&5 +$as_echo "$ac_ct_OBJDUMP" >&6; } +else + { $as_echo "$as_me:${as_lineno-4926}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_OBJDUMP" = x; then + OBJDUMP="false" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-4935}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + OBJDUMP=$ac_ct_OBJDUMP + fi +else + OBJDUMP="$ac_cv_prog_OBJDUMP" +fi + +test -z "$OBJDUMP" && OBJDUMP=objdump + + + + + + + + + +{ $as_echo "$as_me:${as_lineno-4955}: checking how to recognize dependent libraries" >&5 +$as_echo_n "checking how to recognize dependent libraries... " >&6; } +if ${lt_cv_deplibs_check_method+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_file_magic_cmd='$MAGIC_CMD' +lt_cv_file_magic_test_file= +lt_cv_deplibs_check_method='unknown' +# Need to set the preceding variable on all platforms that support +# interlibrary dependencies. +# 'none' -- dependencies not supported. +# `unknown' -- same as none, but documents that we really don't know. +# 'pass_all' -- all dependencies passed with no checks. +# 'test_compile' -- check by making test program. +# 'file_magic [[regex]]' -- check by looking for files in library path +# which responds to the $file_magic_cmd with a given extended regex. +# If you have `file' or equivalent on your system and you're not sure +# whether `pass_all' will *always* work, you probably want this one. + +case $host_os in +aix[4-9]*) + lt_cv_deplibs_check_method=pass_all + ;; + +beos*) + lt_cv_deplibs_check_method=pass_all + ;; + +bsdi[45]*) + lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (shared object|dynamic lib)' + lt_cv_file_magic_cmd='/usr/bin/file -L' + lt_cv_file_magic_test_file=/shlib/libc.so + ;; + +cygwin*) + # func_win32_libid is a shell function defined in ltmain.sh + lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' + lt_cv_file_magic_cmd='func_win32_libid' + ;; + +mingw* | pw32*) + # Base MSYS/MinGW do not provide the 'file' command needed by + # func_win32_libid shell function, so use a weaker test based on 'objdump', + # unless we find 'file', for example because we are cross-compiling. + # func_win32_libid assumes BSD nm, so disallow it if using MS dumpbin. + if ( test "$lt_cv_nm_interface" = "BSD nm" && file / ) >/dev/null 2>&1; then + lt_cv_deplibs_check_method='file_magic ^x86 archive import|^x86 DLL' + lt_cv_file_magic_cmd='func_win32_libid' + else + # Keep this pattern in sync with the one in func_win32_libid. + lt_cv_deplibs_check_method='file_magic file format (pei*-i386(.*architecture: i386)?|pe-arm-wince|pe-x86-64)' + lt_cv_file_magic_cmd='$OBJDUMP -f' + fi + ;; + +cegcc*) + # use the weaker test based on 'objdump'. See mingw*. + lt_cv_deplibs_check_method='file_magic file format pe-arm-.*little(.*architecture: arm)?' + lt_cv_file_magic_cmd='$OBJDUMP -f' + ;; + +darwin* | rhapsody*) + lt_cv_deplibs_check_method=pass_all + ;; + +freebsd* | dragonfly*) + if echo __ELF__ | $CC -E - | $GREP __ELF__ > /dev/null; then + case $host_cpu in + i*86 ) + # Not sure whether the presence of OpenBSD here was a mistake. + # Let's accept both of them until this is cleared up. + lt_cv_deplibs_check_method='file_magic (FreeBSD|OpenBSD|DragonFly)/i[3-9]86 (compact )?demand paged shared library' + lt_cv_file_magic_cmd=/usr/bin/file + lt_cv_file_magic_test_file=`echo /usr/lib/libc.so.*` + ;; + esac + else + lt_cv_deplibs_check_method=pass_all + fi + ;; + +gnu*) + lt_cv_deplibs_check_method=pass_all + ;; + +haiku*) + lt_cv_deplibs_check_method=pass_all + ;; + +hpux10.20* | hpux11*) + lt_cv_file_magic_cmd=/usr/bin/file + case $host_cpu in + ia64*) + lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF-[0-9][0-9]) shared object file - IA64' + lt_cv_file_magic_test_file=/usr/lib/hpux32/libc.so + ;; + hppa*64*) + lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|ELF[ -][0-9][0-9])(-bit)?( [LM]SB)? shared object( file)?[, -]* PA-RISC [0-9]\.[0-9]' + lt_cv_file_magic_test_file=/usr/lib/pa20_64/libc.sl + ;; + *) + lt_cv_deplibs_check_method='file_magic (s[0-9][0-9][0-9]|PA-RISC[0-9]\.[0-9]) shared library' + lt_cv_file_magic_test_file=/usr/lib/libc.sl + ;; + esac + ;; + +interix[3-9]*) + # PIC code is broken on Interix 3.x, that's why |\.a not |_pic\.a here + lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so|\.a)$' + ;; + +irix5* | irix6* | nonstopux*) + case $LD in + *-32|*"-32 ") libmagic=32-bit;; + *-n32|*"-n32 ") libmagic=N32;; + *-64|*"-64 ") libmagic=64-bit;; + *) libmagic=never-match;; + esac + lt_cv_deplibs_check_method=pass_all + ;; + +# This must be glibc/ELF. +linux* | k*bsd*-gnu | kopensolaris*-gnu) + lt_cv_deplibs_check_method=pass_all + ;; + +netbsd* | netbsdelf*-gnu) + if echo __ELF__ | $CC -E - | $GREP __ELF__ > /dev/null; then + lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|_pic\.a)$' + else + lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so|_pic\.a)$' + fi + ;; + +newos6*) + lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (executable|dynamic lib)' + lt_cv_file_magic_cmd=/usr/bin/file + lt_cv_file_magic_test_file=/usr/lib/libnls.so + ;; + +*nto* | *qnx*) + lt_cv_deplibs_check_method=pass_all + ;; + +openbsd*) + if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then + lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|\.so|_pic\.a)$' + else + lt_cv_deplibs_check_method='match_pattern /lib[^/]+(\.so\.[0-9]+\.[0-9]+|_pic\.a)$' + fi + ;; + +osf3* | osf4* | osf5*) + lt_cv_deplibs_check_method=pass_all + ;; + +rdos*) + lt_cv_deplibs_check_method=pass_all + ;; + +solaris*) + lt_cv_deplibs_check_method=pass_all + ;; + +sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX* | sysv4*uw2*) + lt_cv_deplibs_check_method=pass_all + ;; + +sysv4 | sysv4.3*) + case $host_vendor in + motorola) + lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [ML]SB (shared object|dynamic lib) M[0-9][0-9]* Version [0-9]' + lt_cv_file_magic_test_file=`echo /usr/lib/libc.so*` + ;; + ncr) + lt_cv_deplibs_check_method=pass_all + ;; + sequent) + lt_cv_file_magic_cmd='/bin/file' + lt_cv_deplibs_check_method='file_magic ELF [0-9][0-9]*-bit [LM]SB (shared object|dynamic lib )' + ;; + sni) + lt_cv_file_magic_cmd='/bin/file' + lt_cv_deplibs_check_method="file_magic ELF [0-9][0-9]*-bit [LM]SB dynamic lib" + lt_cv_file_magic_test_file=/lib/libc.so + ;; + siemens) + lt_cv_deplibs_check_method=pass_all + ;; + pc) + lt_cv_deplibs_check_method=pass_all + ;; + esac + ;; + +tpf*) + lt_cv_deplibs_check_method=pass_all + ;; +esac + +fi +{ $as_echo "$as_me:${as_lineno-5157}: result: $lt_cv_deplibs_check_method" >&5 +$as_echo "$lt_cv_deplibs_check_method" >&6; } + +file_magic_glob= +want_nocaseglob=no +if test "$build" = "$host"; then + case $host_os in + mingw* | pw32*) + if ( shopt | grep nocaseglob ) >/dev/null 2>&1; then + want_nocaseglob=yes + else + file_magic_glob=`echo aAbBcCdDeEfFgGhHiIjJkKlLmMnNoOpPqQrRsStTuUvVwWxXyYzZ | $SED -e "s/\(..\)/s\/[\1]\/[\1]\/g;/g"` + fi + ;; + esac +fi + +file_magic_cmd=$lt_cv_file_magic_cmd +deplibs_check_method=$lt_cv_deplibs_check_method +test -z "$deplibs_check_method" && deplibs_check_method=unknown + + + + + + + + + + + + + + + + + + + + + + +if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}dlltool", so it can be a program name with args. +set dummy ${ac_tool_prefix}dlltool; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-5202}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_DLLTOOL+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$DLLTOOL"; then + ac_cv_prog_DLLTOOL="$DLLTOOL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_DLLTOOL="${ac_tool_prefix}dlltool" + $as_echo "$as_me:${as_lineno-5218}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +DLLTOOL=$ac_cv_prog_DLLTOOL +if test -n "$DLLTOOL"; then + { $as_echo "$as_me:${as_lineno-5229}: result: $DLLTOOL" >&5 +$as_echo "$DLLTOOL" >&6; } +else + { $as_echo "$as_me:${as_lineno-5232}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_DLLTOOL"; then + ac_ct_DLLTOOL=$DLLTOOL + # Extract the first word of "dlltool", so it can be a program name with args. +set dummy dlltool; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-5242}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_DLLTOOL+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_DLLTOOL"; then + ac_cv_prog_ac_ct_DLLTOOL="$ac_ct_DLLTOOL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_DLLTOOL="dlltool" + $as_echo "$as_me:${as_lineno-5258}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_DLLTOOL=$ac_cv_prog_ac_ct_DLLTOOL +if test -n "$ac_ct_DLLTOOL"; then + { $as_echo "$as_me:${as_lineno-5269}: result: $ac_ct_DLLTOOL" >&5 +$as_echo "$ac_ct_DLLTOOL" >&6; } +else + { $as_echo "$as_me:${as_lineno-5272}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_DLLTOOL" = x; then + DLLTOOL="false" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-5281}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + DLLTOOL=$ac_ct_DLLTOOL + fi +else + DLLTOOL="$ac_cv_prog_DLLTOOL" +fi + +test -z "$DLLTOOL" && DLLTOOL=dlltool + + + + + + + + + + +{ $as_echo "$as_me:${as_lineno-5302}: checking how to associate runtime and link libraries" >&5 +$as_echo_n "checking how to associate runtime and link libraries... " >&6; } +if ${lt_cv_sharedlib_from_linklib_cmd+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_sharedlib_from_linklib_cmd='unknown' + +case $host_os in +cygwin* | mingw* | pw32* | cegcc*) + # two different shell functions defined in ltmain.sh + # decide which to use based on capabilities of $DLLTOOL + case `$DLLTOOL --help 2>&1` in + *--identify-strict*) + lt_cv_sharedlib_from_linklib_cmd=func_cygming_dll_for_implib + ;; + *) + lt_cv_sharedlib_from_linklib_cmd=func_cygming_dll_for_implib_fallback + ;; + esac + ;; +*) + # fallback: assume linklib IS sharedlib + lt_cv_sharedlib_from_linklib_cmd="$ECHO" + ;; +esac + +fi +{ $as_echo "$as_me:${as_lineno-5329}: result: $lt_cv_sharedlib_from_linklib_cmd" >&5 +$as_echo "$lt_cv_sharedlib_from_linklib_cmd" >&6; } +sharedlib_from_linklib_cmd=$lt_cv_sharedlib_from_linklib_cmd +test -z "$sharedlib_from_linklib_cmd" && sharedlib_from_linklib_cmd=$ECHO + + + + + + + + +if test -n "$ac_tool_prefix"; then + for ac_prog in ar + do + # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. +set dummy $ac_tool_prefix$ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-5346}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_AR+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$AR"; then + ac_cv_prog_AR="$AR" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_AR="$ac_tool_prefix$ac_prog" + $as_echo "$as_me:${as_lineno-5362}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +AR=$ac_cv_prog_AR +if test -n "$AR"; then + { $as_echo "$as_me:${as_lineno-5373}: result: $AR" >&5 +$as_echo "$AR" >&6; } +else + { $as_echo "$as_me:${as_lineno-5376}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$AR" && break + done +fi +if test -z "$AR"; then + ac_ct_AR=$AR + for ac_prog in ar +do + # Extract the first word of "$ac_prog", so it can be a program name with args. +set dummy $ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-5390}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_AR+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_AR"; then + ac_cv_prog_ac_ct_AR="$ac_ct_AR" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_AR="$ac_prog" + $as_echo "$as_me:${as_lineno-5406}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_AR=$ac_cv_prog_ac_ct_AR +if test -n "$ac_ct_AR"; then + { $as_echo "$as_me:${as_lineno-5417}: result: $ac_ct_AR" >&5 +$as_echo "$ac_ct_AR" >&6; } +else + { $as_echo "$as_me:${as_lineno-5420}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$ac_ct_AR" && break +done + + if test "x$ac_ct_AR" = x; then + AR="false" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-5433}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + AR=$ac_ct_AR + fi +fi + +: ${AR=ar} +: ${AR_FLAGS=cru} + + + + + + + + + + + +{ $as_echo "$as_me:${as_lineno-5454}: checking for archiver @FILE support" >&5 +$as_echo_n "checking for archiver @FILE support... " >&6; } +if ${lt_cv_ar_at_file+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_ar_at_file=no + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "5471"; then : + echo conftest.$ac_objext > conftest.lst + lt_ar_try='$AR $AR_FLAGS libconftest.a @conftest.lst >&5' + { { eval echo "\"\$as_me\":${as_lineno-5474}: \"$lt_ar_try\""; } >&5 + (eval $lt_ar_try) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-5477}: \$? = $ac_status" >&5 + test $ac_status = 0; } + if test "$ac_status" -eq 0; then + # Ensure the archiver fails upon bogus file names. + rm -f conftest.$ac_objext libconftest.a + { { eval echo "\"\$as_me\":${as_lineno-5482}: \"$lt_ar_try\""; } >&5 + (eval $lt_ar_try) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-5485}: \$? = $ac_status" >&5 + test $ac_status = 0; } + if test "$ac_status" -ne 0; then + lt_cv_ar_at_file=@ + fi + fi + rm -f conftest.* libconftest.a + +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + +fi +{ $as_echo "$as_me:${as_lineno-5497}: result: $lt_cv_ar_at_file" >&5 +$as_echo "$lt_cv_ar_at_file" >&6; } + +if test "x$lt_cv_ar_at_file" = xno; then + archiver_list_spec= +else + archiver_list_spec=$lt_cv_ar_at_file +fi + + + + + + + +if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}strip", so it can be a program name with args. +set dummy ${ac_tool_prefix}strip; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-5515}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_STRIP+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$STRIP"; then + ac_cv_prog_STRIP="$STRIP" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_STRIP="${ac_tool_prefix}strip" + $as_echo "$as_me:${as_lineno-5531}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +STRIP=$ac_cv_prog_STRIP +if test -n "$STRIP"; then + { $as_echo "$as_me:${as_lineno-5542}: result: $STRIP" >&5 +$as_echo "$STRIP" >&6; } +else + { $as_echo "$as_me:${as_lineno-5545}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_STRIP"; then + ac_ct_STRIP=$STRIP + # Extract the first word of "strip", so it can be a program name with args. +set dummy strip; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-5555}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_STRIP+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_STRIP"; then + ac_cv_prog_ac_ct_STRIP="$ac_ct_STRIP" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_STRIP="strip" + $as_echo "$as_me:${as_lineno-5571}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_STRIP=$ac_cv_prog_ac_ct_STRIP +if test -n "$ac_ct_STRIP"; then + { $as_echo "$as_me:${as_lineno-5582}: result: $ac_ct_STRIP" >&5 +$as_echo "$ac_ct_STRIP" >&6; } +else + { $as_echo "$as_me:${as_lineno-5585}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_STRIP" = x; then + STRIP=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-5594}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + STRIP=$ac_ct_STRIP + fi +else + STRIP="$ac_cv_prog_STRIP" +fi + +test -z "$STRIP" && STRIP=: + + + + + + +if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}ranlib", so it can be a program name with args. +set dummy ${ac_tool_prefix}ranlib; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-5614}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_RANLIB+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$RANLIB"; then + ac_cv_prog_RANLIB="$RANLIB" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_RANLIB="${ac_tool_prefix}ranlib" + $as_echo "$as_me:${as_lineno-5630}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +RANLIB=$ac_cv_prog_RANLIB +if test -n "$RANLIB"; then + { $as_echo "$as_me:${as_lineno-5641}: result: $RANLIB" >&5 +$as_echo "$RANLIB" >&6; } +else + { $as_echo "$as_me:${as_lineno-5644}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_RANLIB"; then + ac_ct_RANLIB=$RANLIB + # Extract the first word of "ranlib", so it can be a program name with args. +set dummy ranlib; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-5654}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_RANLIB+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_RANLIB"; then + ac_cv_prog_ac_ct_RANLIB="$ac_ct_RANLIB" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_RANLIB="ranlib" + $as_echo "$as_me:${as_lineno-5670}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_RANLIB=$ac_cv_prog_ac_ct_RANLIB +if test -n "$ac_ct_RANLIB"; then + { $as_echo "$as_me:${as_lineno-5681}: result: $ac_ct_RANLIB" >&5 +$as_echo "$ac_ct_RANLIB" >&6; } +else + { $as_echo "$as_me:${as_lineno-5684}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_RANLIB" = x; then + RANLIB=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-5693}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + RANLIB=$ac_ct_RANLIB + fi +else + RANLIB="$ac_cv_prog_RANLIB" +fi + +test -z "$RANLIB" && RANLIB=: + + + + + + +# Determine commands to create old-style static archives. +old_archive_cmds='$AR $AR_FLAGS $oldlib$oldobjs' +old_postinstall_cmds='chmod 644 $oldlib' +old_postuninstall_cmds= + +if test -n "$RANLIB"; then + case $host_os in + openbsd*) + old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB -t \$tool_oldlib" + ;; + *) + old_postinstall_cmds="$old_postinstall_cmds~\$RANLIB \$tool_oldlib" + ;; + esac + old_archive_cmds="$old_archive_cmds~\$RANLIB \$tool_oldlib" +fi + +case $host_os in + darwin*) + lock_old_archive_extraction=yes ;; + *) + lock_old_archive_extraction=no ;; +esac + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +# If no C compiler was specified, use CC. +LTCC=${LTCC-"$CC"} + +# If no C compiler flags were specified, use CFLAGS. +LTCFLAGS=${LTCFLAGS-"$CFLAGS"} + +# Allow CC to be a program name with arguments. +compiler=$CC + + +# Check for command to grab the raw symbol name followed by C symbol from nm. +{ $as_echo "$as_me:${as_lineno-5783}: checking command to parse $NM output from $compiler object" >&5 +$as_echo_n "checking command to parse $NM output from $compiler object... " >&6; } +if ${lt_cv_sys_global_symbol_pipe+:} false; then : + $as_echo_n "(cached) " >&6 +else + +# These are sane defaults that work on at least a few old systems. +# [They come from Ultrix. What could be older than Ultrix?!! ;)] + +# Character class describing NM global symbol codes. +symcode='[BCDEGRST]' + +# Regexp to match symbols that can be accessed directly from C. +sympat='\([_A-Za-z][_A-Za-z0-9]*\)' + +# Define system-specific variables. +case $host_os in +aix*) + symcode='[BCDT]' + ;; +cygwin* | mingw* | pw32* | cegcc*) + symcode='[ABCDGISTW]' + ;; +hpux*) + if test "$host_cpu" = ia64; then + symcode='[ABCDEGRST]' + fi + ;; +irix* | nonstopux*) + symcode='[BCDEGRST]' + ;; +osf*) + symcode='[BCDEGQRST]' + ;; +solaris*) + symcode='[BDRT]' + ;; +sco3.2v5*) + symcode='[DT]' + ;; +sysv4.2uw2*) + symcode='[DT]' + ;; +sysv5* | sco5v6* | unixware* | OpenUNIX*) + symcode='[ABDT]' + ;; +sysv4) + symcode='[DFNSTU]' + ;; +esac + +# If we're using GNU nm, then use its standard symbol codes. +case `$NM -V 2>&1` in +*GNU* | *'with BFD'*) + symcode='[ABCDGIRSTW]' ;; +esac + +# Transform an extracted symbol line into a proper C declaration. +# Some systems (esp. on ia64) link data and code symbols differently, +# so use this general approach. +lt_cv_sys_global_symbol_to_cdecl="sed -n -e 's/^T .* \(.*\)$/extern int \1();/p' -e 's/^$symcode* .* \(.*\)$/extern char \1;/p'" + +# Transform an extracted symbol line into symbol name and symbol address +lt_cv_sys_global_symbol_to_c_name_address="sed -n -e 's/^: \([^ ]*\)[ ]*$/ {\\\"\1\\\", (void *) 0},/p' -e 's/^$symcode* \([^ ]*\) \([^ ]*\)$/ {\"\2\", (void *) \&\2},/p'" +lt_cv_sys_global_symbol_to_c_name_address_lib_prefix="sed -n -e 's/^: \([^ ]*\)[ ]*$/ {\\\"\1\\\", (void *) 0},/p' -e 's/^$symcode* \([^ ]*\) \(lib[^ ]*\)$/ {\"\2\", (void *) \&\2},/p' -e 's/^$symcode* \([^ ]*\) \([^ ]*\)$/ {\"lib\2\", (void *) \&\2},/p'" + +# Handle CRLF in mingw tool chain +opt_cr= +case $build_os in +mingw*) + opt_cr=`$ECHO 'x\{0,1\}' | tr x '\015'` # option cr in regexp + ;; +esac + +# Try without a prefix underscore, then with it. +for ac_symprfx in "" "_"; do + + # Transform symcode, sympat, and symprfx into a raw symbol and a C symbol. + symxfrm="\\1 $ac_symprfx\\2 \\2" + + # Write the raw and C identifiers. + if test "$lt_cv_nm_interface" = "MS dumpbin"; then + # Fake it for dumpbin and say T for any non-static function + # and D for any global variable. + # Also find C++ and __fastcall symbols from MSVC++, + # which start with @ or ?. + lt_cv_sys_global_symbol_pipe="$AWK '"\ +" {last_section=section; section=\$ 3};"\ +" /^COFF SYMBOL TABLE/{for(i in hide) delete hide[i]};"\ +" /Section length .*#relocs.*(pick any)/{hide[last_section]=1};"\ +" \$ 0!~/External *\|/{next};"\ +" / 0+ UNDEF /{next}; / UNDEF \([^|]\)*()/{next};"\ +" {if(hide[section]) next};"\ +" {f=0}; \$ 0~/\(\).*\|/{f=1}; {printf f ? \"T \" : \"D \"};"\ +" {split(\$ 0, a, /\||\r/); split(a[2], s)};"\ +" s[1]~/^[@?]/{print s[1], s[1]; next};"\ +" s[1]~prfx {split(s[1],t,\"@\"); print t[1], substr(t[1],length(prfx))}"\ +" ' prfx=^$ac_symprfx" + else + lt_cv_sys_global_symbol_pipe="sed -n -e 's/^.*[ ]\($symcode$symcode*\)[ ][ ]*$ac_symprfx$sympat$opt_cr$/$symxfrm/p'" + fi + lt_cv_sys_global_symbol_pipe="$lt_cv_sys_global_symbol_pipe | sed '/ __gnu_lto/d'" + + # Check to see that the pipe works correctly. + pipe_works=no + + rm -f conftest* + cat > conftest.$ac_ext <<_LT_EOF +#ifdef __cplusplus +extern "C" { +#endif +char nm_test_var; +void nm_test_func(void); +void nm_test_func(void){} +#ifdef __cplusplus +} +#endif +int main(){nm_test_var='a';nm_test_func();return(0);} +_LT_EOF + + if { { eval echo "\"\$as_me\":${as_lineno-5903}: \"$ac_compile\""; } >&5 + (eval $ac_compile) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-5906}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then + # Now try to grab the symbols. + nlist=conftest.nm + if { { eval echo "\"\$as_me\":${as_lineno-5910}: \"$NM conftest.$ac_objext \| "$lt_cv_sys_global_symbol_pipe" \> $nlist\""; } >&5 + (eval $NM conftest.$ac_objext \| "$lt_cv_sys_global_symbol_pipe" \> $nlist) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-5913}: \$? = $ac_status" >&5 + test $ac_status = 0; } && test -s "$nlist"; then + # Try sorting and uniquifying the output. + if sort "$nlist" | uniq > "$nlist"T; then + mv -f "$nlist"T "$nlist" + else + rm -f "$nlist"T + fi + + # Make sure that we snagged all the symbols we need. + if $GREP ' nm_test_var$' "$nlist" >/dev/null; then + if $GREP ' nm_test_func$' "$nlist" >/dev/null; then + cat <<_LT_EOF > conftest.$ac_ext +/* Keep this code in sync between libtool.m4, ltmain, lt_system.h, and tests. */ +#if defined(_WIN32) || defined(__CYGWIN__) || defined(_WIN32_WCE) +/* DATA imports from DLLs on WIN32 con't be const, because runtime + relocations are performed -- see ld's documentation on pseudo-relocs. */ +# define LT_DLSYM_CONST +#elif defined(__osf__) +/* This system does not cope well with relocations in const data. */ +# define LT_DLSYM_CONST +#else +# define LT_DLSYM_CONST const +#endif + +#ifdef __cplusplus +extern "C" { +#endif + +_LT_EOF + # Now generate the symbol file. + eval "$lt_cv_sys_global_symbol_to_cdecl"' < "$nlist" | $GREP -v main >> conftest.$ac_ext' + + cat <<_LT_EOF >> conftest.$ac_ext + +/* The mapping between symbol names and symbols. */ +LT_DLSYM_CONST struct { + const char *name; + void *address; +} +lt__PROGRAM__LTX_preloaded_symbols[] = +{ + { "@PROGRAM@", (void *) 0 }, +_LT_EOF + $SED "s/^$symcode$symcode* \(.*\) \(.*\)$/ {\"\2\", (void *) \&\2},/" < "$nlist" | $GREP -v main >> conftest.$ac_ext + cat <<\_LT_EOF >> conftest.$ac_ext + {0, (void *) 0} +}; + +/* This works around a problem in FreeBSD linker */ +#ifdef FREEBSD_WORKAROUND +static const void *lt_preloaded_setup() { + return lt__PROGRAM__LTX_preloaded_symbols; +} +#endif + +#ifdef __cplusplus +} +#endif +_LT_EOF + # Now try linking the two files. + mv conftest.$ac_objext conftstm.$ac_objext + lt_globsym_save_LIBS=$LIBS + lt_globsym_save_CFLAGS=$CFLAGS + LIBS="conftstm.$ac_objext" + CFLAGS="$CFLAGS$lt_prog_compiler_no_builtin_flag" + if { { eval echo "\"\$as_me\":${as_lineno-5979}: \"$ac_link\""; } >&5 + (eval $ac_link) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-5982}: \$? = $ac_status" >&5 + test $ac_status = 0; } && test -s conftest${ac_exeext}; then + pipe_works=yes + fi + LIBS=$lt_globsym_save_LIBS + CFLAGS=$lt_globsym_save_CFLAGS + else + echo "cannot find nm_test_func in $nlist" >&5 + fi + else + echo "cannot find nm_test_var in $nlist" >&5 + fi + else + echo "cannot run $lt_cv_sys_global_symbol_pipe" >&5 + fi + else + echo "$progname: failed program was:" >&5 + cat conftest.$ac_ext >&5 + fi + rm -rf conftest* conftst* + + # Do not use the global_symbol_pipe unless it works. + if test "$pipe_works" = yes; then + break + else + lt_cv_sys_global_symbol_pipe= + fi +done + +fi + +if test -z "$lt_cv_sys_global_symbol_pipe"; then + lt_cv_sys_global_symbol_to_cdecl= +fi +if test -z "$lt_cv_sys_global_symbol_pipe$lt_cv_sys_global_symbol_to_cdecl"; then + { $as_echo "$as_me:${as_lineno-6017}: result: failed" >&5 +$as_echo "failed" >&6; } +else + { $as_echo "$as_me:${as_lineno-6020}: result: ok" >&5 +$as_echo "ok" >&6; } +fi + +# Response file support. +if test "$lt_cv_nm_interface" = "MS dumpbin"; then + nm_file_list_spec='@' +elif $NM --help 2>/dev/null | grep '[@]FILE' >/dev/null; then + nm_file_list_spec='@' +fi + + + + + + + + + + + + + + + + + + + + + + + + + + + +{ $as_echo "$as_me:${as_lineno-6057}: checking for sysroot" >&5 +$as_echo_n "checking for sysroot... " >&6; } + +# Check whether --with-sysroot was given. +if test "${with_sysroot+set}" = set; then : + withval=$with_sysroot; +else + with_sysroot=no +fi + + +lt_sysroot= +case ${with_sysroot} in #( + yes) + if test "$GCC" = yes; then + lt_sysroot=`$CC --print-sysroot 2>/dev/null` + fi + ;; #( + /*) + lt_sysroot=`echo "$with_sysroot" | sed -e "$sed_quote_subst"` + ;; #( + no|'') + ;; #( + *) + { $as_echo "$as_me:${as_lineno-6081}: result: ${with_sysroot}" >&5 +$as_echo "${with_sysroot}" >&6; } + as_fn_error $? "The sysroot must be an absolute path." "6083" 5 + ;; +esac + + { $as_echo "$as_me:${as_lineno-6087}: result: ${lt_sysroot:-no}" >&5 +$as_echo "${lt_sysroot:-no}" >&6; } + + + + + +# Check whether --enable-libtool-lock was given. +if test "${enable_libtool_lock+set}" = set; then : + enableval=$enable_libtool_lock; +fi + +test "x$enable_libtool_lock" != xno && enable_libtool_lock=yes + +# Some flags need to be propagated to the compiler or linker for good +# libtool support. +case $host in +ia64-*-hpux*) + # Find out which ABI we are using. + echo 'int i;' > conftest.$ac_ext + if { { eval echo "\"\$as_me\":${as_lineno-6107}: \"$ac_compile\""; } >&5 + (eval $ac_compile) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-6110}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then + case `/usr/bin/file conftest.$ac_objext` in + *ELF-32*) + HPUX_IA64_MODE="32" + ;; + *ELF-64*) + HPUX_IA64_MODE="64" + ;; + esac + fi + rm -rf conftest* + ;; +*-*-irix6*) + # Find out which ABI we are using. + echo '#line '6125' "configure"' > conftest.$ac_ext + if { { eval echo "\"\$as_me\":${as_lineno-6126}: \"$ac_compile\""; } >&5 + (eval $ac_compile) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-6129}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then + if test "$lt_cv_prog_gnu_ld" = yes; then + case `/usr/bin/file conftest.$ac_objext` in + *32-bit*) + LD="${LD-ld} -melf32bsmip" + ;; + *N32*) + LD="${LD-ld} -melf32bmipn32" + ;; + *64-bit*) + LD="${LD-ld} -melf64bmip" + ;; + esac + else + case `/usr/bin/file conftest.$ac_objext` in + *32-bit*) + LD="${LD-ld} -32" + ;; + *N32*) + LD="${LD-ld} -n32" + ;; + *64-bit*) + LD="${LD-ld} -64" + ;; + esac + fi + fi + rm -rf conftest* + ;; + +x86_64-*kfreebsd*-gnu|x86_64-*linux*|ppc*-*linux*|powerpc*-*linux*| \ +s390*-*linux*|s390*-*tpf*|sparc*-*linux*) + # Find out which ABI we are using. + echo 'int i;' > conftest.$ac_ext + if { { eval echo "\"\$as_me\":${as_lineno-6164}: \"$ac_compile\""; } >&5 + (eval $ac_compile) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-6167}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then + case `/usr/bin/file conftest.o` in + *32-bit*) + case $host in + x86_64-*kfreebsd*-gnu) + LD="${LD-ld} -m elf_i386_fbsd" + ;; + x86_64-*linux*) + LD="${LD-ld} -m elf_i386" + ;; + ppc64-*linux*|powerpc64-*linux*) + LD="${LD-ld} -m elf32ppclinux" + ;; + s390x-*linux*) + LD="${LD-ld} -m elf_s390" + ;; + sparc64-*linux*) + LD="${LD-ld} -m elf32_sparc" + ;; + esac + ;; + *64-bit*) + case $host in + x86_64-*kfreebsd*-gnu) + LD="${LD-ld} -m elf_x86_64_fbsd" + ;; + x86_64-*linux*) + LD="${LD-ld} -m elf_x86_64" + ;; + ppc*-*linux*|powerpc*-*linux*) + LD="${LD-ld} -m elf64ppc" + ;; + s390*-*linux*|s390*-*tpf*) + LD="${LD-ld} -m elf64_s390" + ;; + sparc*-*linux*) + LD="${LD-ld} -m elf64_sparc" + ;; + esac + ;; + esac + fi + rm -rf conftest* + ;; + +*-*-sco3.2v5*) + # On SCO OpenServer 5, we need -belf to get full-featured binaries. + SAVE_CFLAGS="$CFLAGS" + CFLAGS="$CFLAGS -belf" + { $as_echo "$as_me:${as_lineno-6217}: checking whether the C compiler needs -belf" >&5 +$as_echo_n "checking whether the C compiler needs -belf... " >&6; } +if ${lt_cv_cc_needs_belf+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "6239"; then : + lt_cv_cc_needs_belf=yes +else + lt_cv_cc_needs_belf=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + +fi +{ $as_echo "$as_me:${as_lineno-6253}: result: $lt_cv_cc_needs_belf" >&5 +$as_echo "$lt_cv_cc_needs_belf" >&6; } + if test x"$lt_cv_cc_needs_belf" != x"yes"; then + # this is probably gcc 2.8.0, egcs 1.0 or newer; no need for -belf + CFLAGS="$SAVE_CFLAGS" + fi + ;; +*-*solaris*) + # Find out which ABI we are using. + echo 'int i;' > conftest.$ac_ext + if { { eval echo "\"\$as_me\":${as_lineno-6263}: \"$ac_compile\""; } >&5 + (eval $ac_compile) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-6266}: \$? = $ac_status" >&5 + test $ac_status = 0; }; then + case `/usr/bin/file conftest.o` in + *64-bit*) + case $lt_cv_prog_gnu_ld in + yes*) + case $host in + i?86-*-solaris*) + LD="${LD-ld} -m elf_x86_64" + ;; + sparc*-*-solaris*) + LD="${LD-ld} -m elf64_sparc" + ;; + esac + # GNU ld 2.21 introduced _sol2 emulations. Use them if available. + if ${LD-ld} -V | grep _sol2 >/dev/null 2>&1; then + LD="${LD-ld}_sol2" + fi + ;; + *) + if ${LD-ld} -64 -r -o conftest2.o conftest.o >/dev/null 2>&1; then + LD="${LD-ld} -64" + fi + ;; + esac + ;; + esac + fi + rm -rf conftest* + ;; +esac + +need_locks="$enable_libtool_lock" + +if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}mt", so it can be a program name with args. +set dummy ${ac_tool_prefix}mt; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-6303}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_MANIFEST_TOOL+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$MANIFEST_TOOL"; then + ac_cv_prog_MANIFEST_TOOL="$MANIFEST_TOOL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_MANIFEST_TOOL="${ac_tool_prefix}mt" + $as_echo "$as_me:${as_lineno-6319}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +MANIFEST_TOOL=$ac_cv_prog_MANIFEST_TOOL +if test -n "$MANIFEST_TOOL"; then + { $as_echo "$as_me:${as_lineno-6330}: result: $MANIFEST_TOOL" >&5 +$as_echo "$MANIFEST_TOOL" >&6; } +else + { $as_echo "$as_me:${as_lineno-6333}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_MANIFEST_TOOL"; then + ac_ct_MANIFEST_TOOL=$MANIFEST_TOOL + # Extract the first word of "mt", so it can be a program name with args. +set dummy mt; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-6343}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_MANIFEST_TOOL+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_MANIFEST_TOOL"; then + ac_cv_prog_ac_ct_MANIFEST_TOOL="$ac_ct_MANIFEST_TOOL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_MANIFEST_TOOL="mt" + $as_echo "$as_me:${as_lineno-6359}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_MANIFEST_TOOL=$ac_cv_prog_ac_ct_MANIFEST_TOOL +if test -n "$ac_ct_MANIFEST_TOOL"; then + { $as_echo "$as_me:${as_lineno-6370}: result: $ac_ct_MANIFEST_TOOL" >&5 +$as_echo "$ac_ct_MANIFEST_TOOL" >&6; } +else + { $as_echo "$as_me:${as_lineno-6373}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_MANIFEST_TOOL" = x; then + MANIFEST_TOOL=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-6382}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + MANIFEST_TOOL=$ac_ct_MANIFEST_TOOL + fi +else + MANIFEST_TOOL="$ac_cv_prog_MANIFEST_TOOL" +fi + +test -z "$MANIFEST_TOOL" && MANIFEST_TOOL=mt +{ $as_echo "$as_me:${as_lineno-6393}: checking if $MANIFEST_TOOL is a manifest tool" >&5 +$as_echo_n "checking if $MANIFEST_TOOL is a manifest tool... " >&6; } +if ${lt_cv_path_mainfest_tool+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_path_mainfest_tool=no + echo "$as_me:6399: $MANIFEST_TOOL '-?'" >&5 + $MANIFEST_TOOL '-?' 2>conftest.err > conftest.out + cat conftest.err >&5 + if $GREP 'Manifest Tool' conftest.out > /dev/null; then + lt_cv_path_mainfest_tool=yes + fi + rm -f conftest* +fi +{ $as_echo "$as_me:${as_lineno-6407}: result: $lt_cv_path_mainfest_tool" >&5 +$as_echo "$lt_cv_path_mainfest_tool" >&6; } +if test "x$lt_cv_path_mainfest_tool" != xyes; then + MANIFEST_TOOL=: +fi + + + + + + + case $host_os in + rhapsody* | darwin*) + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}dsymutil", so it can be a program name with args. +set dummy ${ac_tool_prefix}dsymutil; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-6423}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_DSYMUTIL+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$DSYMUTIL"; then + ac_cv_prog_DSYMUTIL="$DSYMUTIL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_DSYMUTIL="${ac_tool_prefix}dsymutil" + $as_echo "$as_me:${as_lineno-6439}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +DSYMUTIL=$ac_cv_prog_DSYMUTIL +if test -n "$DSYMUTIL"; then + { $as_echo "$as_me:${as_lineno-6450}: result: $DSYMUTIL" >&5 +$as_echo "$DSYMUTIL" >&6; } +else + { $as_echo "$as_me:${as_lineno-6453}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_DSYMUTIL"; then + ac_ct_DSYMUTIL=$DSYMUTIL + # Extract the first word of "dsymutil", so it can be a program name with args. +set dummy dsymutil; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-6463}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_DSYMUTIL+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_DSYMUTIL"; then + ac_cv_prog_ac_ct_DSYMUTIL="$ac_ct_DSYMUTIL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_DSYMUTIL="dsymutil" + $as_echo "$as_me:${as_lineno-6479}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_DSYMUTIL=$ac_cv_prog_ac_ct_DSYMUTIL +if test -n "$ac_ct_DSYMUTIL"; then + { $as_echo "$as_me:${as_lineno-6490}: result: $ac_ct_DSYMUTIL" >&5 +$as_echo "$ac_ct_DSYMUTIL" >&6; } +else + { $as_echo "$as_me:${as_lineno-6493}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_DSYMUTIL" = x; then + DSYMUTIL=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-6502}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + DSYMUTIL=$ac_ct_DSYMUTIL + fi +else + DSYMUTIL="$ac_cv_prog_DSYMUTIL" +fi + + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}nmedit", so it can be a program name with args. +set dummy ${ac_tool_prefix}nmedit; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-6515}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_NMEDIT+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$NMEDIT"; then + ac_cv_prog_NMEDIT="$NMEDIT" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_NMEDIT="${ac_tool_prefix}nmedit" + $as_echo "$as_me:${as_lineno-6531}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +NMEDIT=$ac_cv_prog_NMEDIT +if test -n "$NMEDIT"; then + { $as_echo "$as_me:${as_lineno-6542}: result: $NMEDIT" >&5 +$as_echo "$NMEDIT" >&6; } +else + { $as_echo "$as_me:${as_lineno-6545}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_NMEDIT"; then + ac_ct_NMEDIT=$NMEDIT + # Extract the first word of "nmedit", so it can be a program name with args. +set dummy nmedit; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-6555}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_NMEDIT+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_NMEDIT"; then + ac_cv_prog_ac_ct_NMEDIT="$ac_ct_NMEDIT" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_NMEDIT="nmedit" + $as_echo "$as_me:${as_lineno-6571}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_NMEDIT=$ac_cv_prog_ac_ct_NMEDIT +if test -n "$ac_ct_NMEDIT"; then + { $as_echo "$as_me:${as_lineno-6582}: result: $ac_ct_NMEDIT" >&5 +$as_echo "$ac_ct_NMEDIT" >&6; } +else + { $as_echo "$as_me:${as_lineno-6585}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_NMEDIT" = x; then + NMEDIT=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-6594}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + NMEDIT=$ac_ct_NMEDIT + fi +else + NMEDIT="$ac_cv_prog_NMEDIT" +fi + + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}lipo", so it can be a program name with args. +set dummy ${ac_tool_prefix}lipo; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-6607}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_LIPO+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$LIPO"; then + ac_cv_prog_LIPO="$LIPO" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_LIPO="${ac_tool_prefix}lipo" + $as_echo "$as_me:${as_lineno-6623}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +LIPO=$ac_cv_prog_LIPO +if test -n "$LIPO"; then + { $as_echo "$as_me:${as_lineno-6634}: result: $LIPO" >&5 +$as_echo "$LIPO" >&6; } +else + { $as_echo "$as_me:${as_lineno-6637}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_LIPO"; then + ac_ct_LIPO=$LIPO + # Extract the first word of "lipo", so it can be a program name with args. +set dummy lipo; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-6647}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_LIPO+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_LIPO"; then + ac_cv_prog_ac_ct_LIPO="$ac_ct_LIPO" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_LIPO="lipo" + $as_echo "$as_me:${as_lineno-6663}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_LIPO=$ac_cv_prog_ac_ct_LIPO +if test -n "$ac_ct_LIPO"; then + { $as_echo "$as_me:${as_lineno-6674}: result: $ac_ct_LIPO" >&5 +$as_echo "$ac_ct_LIPO" >&6; } +else + { $as_echo "$as_me:${as_lineno-6677}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_LIPO" = x; then + LIPO=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-6686}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + LIPO=$ac_ct_LIPO + fi +else + LIPO="$ac_cv_prog_LIPO" +fi + + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}otool", so it can be a program name with args. +set dummy ${ac_tool_prefix}otool; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-6699}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_OTOOL+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$OTOOL"; then + ac_cv_prog_OTOOL="$OTOOL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_OTOOL="${ac_tool_prefix}otool" + $as_echo "$as_me:${as_lineno-6715}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +OTOOL=$ac_cv_prog_OTOOL +if test -n "$OTOOL"; then + { $as_echo "$as_me:${as_lineno-6726}: result: $OTOOL" >&5 +$as_echo "$OTOOL" >&6; } +else + { $as_echo "$as_me:${as_lineno-6729}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_OTOOL"; then + ac_ct_OTOOL=$OTOOL + # Extract the first word of "otool", so it can be a program name with args. +set dummy otool; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-6739}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_OTOOL+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_OTOOL"; then + ac_cv_prog_ac_ct_OTOOL="$ac_ct_OTOOL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_OTOOL="otool" + $as_echo "$as_me:${as_lineno-6755}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_OTOOL=$ac_cv_prog_ac_ct_OTOOL +if test -n "$ac_ct_OTOOL"; then + { $as_echo "$as_me:${as_lineno-6766}: result: $ac_ct_OTOOL" >&5 +$as_echo "$ac_ct_OTOOL" >&6; } +else + { $as_echo "$as_me:${as_lineno-6769}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_OTOOL" = x; then + OTOOL=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-6778}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + OTOOL=$ac_ct_OTOOL + fi +else + OTOOL="$ac_cv_prog_OTOOL" +fi + + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}otool64", so it can be a program name with args. +set dummy ${ac_tool_prefix}otool64; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-6791}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_OTOOL64+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$OTOOL64"; then + ac_cv_prog_OTOOL64="$OTOOL64" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_OTOOL64="${ac_tool_prefix}otool64" + $as_echo "$as_me:${as_lineno-6807}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +OTOOL64=$ac_cv_prog_OTOOL64 +if test -n "$OTOOL64"; then + { $as_echo "$as_me:${as_lineno-6818}: result: $OTOOL64" >&5 +$as_echo "$OTOOL64" >&6; } +else + { $as_echo "$as_me:${as_lineno-6821}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_OTOOL64"; then + ac_ct_OTOOL64=$OTOOL64 + # Extract the first word of "otool64", so it can be a program name with args. +set dummy otool64; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-6831}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_OTOOL64+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_OTOOL64"; then + ac_cv_prog_ac_ct_OTOOL64="$ac_ct_OTOOL64" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_OTOOL64="otool64" + $as_echo "$as_me:${as_lineno-6847}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_OTOOL64=$ac_cv_prog_ac_ct_OTOOL64 +if test -n "$ac_ct_OTOOL64"; then + { $as_echo "$as_me:${as_lineno-6858}: result: $ac_ct_OTOOL64" >&5 +$as_echo "$ac_ct_OTOOL64" >&6; } +else + { $as_echo "$as_me:${as_lineno-6861}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_OTOOL64" = x; then + OTOOL64=":" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-6870}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + OTOOL64=$ac_ct_OTOOL64 + fi +else + OTOOL64="$ac_cv_prog_OTOOL64" +fi + + + + + + + + + + + + + + + + + + + + + + + + + + + + { $as_echo "$as_me:${as_lineno-6906}: checking for -single_module linker flag" >&5 +$as_echo_n "checking for -single_module linker flag... " >&6; } +if ${lt_cv_apple_cc_single_mod+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_apple_cc_single_mod=no + if test -z "${LT_MULTI_MODULE}"; then + # By default we will add the -single_module flag. You can override + # by either setting the environment variable LT_MULTI_MODULE + # non-empty at configure time, or by adding -multi_module to the + # link flags. + rm -rf libconftest.dylib* + echo "int foo(void){return 1;}" > conftest.c + echo "$LTCC $LTCFLAGS $LDFLAGS -o libconftest.dylib \ +-dynamiclib -Wl,-single_module conftest.c" >&5 + $LTCC $LTCFLAGS $LDFLAGS -o libconftest.dylib \ + -dynamiclib -Wl,-single_module conftest.c 2>conftest.err + _lt_result=$? + # If there is a non-empty error log, and "single_module" + # appears in it, assume the flag caused a linker warning + if test -s conftest.err && $GREP single_module conftest.err; then + cat conftest.err >&5 + # Otherwise, if the output was created with a 0 exit code from + # the compiler, it worked. + elif test -f libconftest.dylib && test $_lt_result -eq 0; then + lt_cv_apple_cc_single_mod=yes + else + cat conftest.err >&5 + fi + rm -rf libconftest.dylib* + rm -f conftest.* + fi +fi +{ $as_echo "$as_me:${as_lineno-6939}: result: $lt_cv_apple_cc_single_mod" >&5 +$as_echo "$lt_cv_apple_cc_single_mod" >&6; } + + { $as_echo "$as_me:${as_lineno-6942}: checking for -exported_symbols_list linker flag" >&5 +$as_echo_n "checking for -exported_symbols_list linker flag... " >&6; } +if ${lt_cv_ld_exported_symbols_list+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_ld_exported_symbols_list=no + save_LDFLAGS=$LDFLAGS + echo "_main" > conftest.sym + LDFLAGS="$LDFLAGS -Wl,-exported_symbols_list,conftest.sym" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "6962"; then : + lt_cv_ld_exported_symbols_list=yes +else + lt_cv_ld_exported_symbols_list=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + LDFLAGS="$save_LDFLAGS" + +fi +{ $as_echo "$as_me:${as_lineno-6972}: result: $lt_cv_ld_exported_symbols_list" >&5 +$as_echo "$lt_cv_ld_exported_symbols_list" >&6; } + + { $as_echo "$as_me:${as_lineno-6975}: checking for -force_load linker flag" >&5 +$as_echo_n "checking for -force_load linker flag... " >&6; } +if ${lt_cv_ld_force_load+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_ld_force_load=no + cat > conftest.c << _LT_EOF +int forced_loaded() { return 2;} +_LT_EOF + echo "$LTCC $LTCFLAGS -c -o conftest.o conftest.c" >&5 + $LTCC $LTCFLAGS -c -o conftest.o conftest.c 2>&5 + echo "$AR cru libconftest.a conftest.o" >&5 + $AR cru libconftest.a conftest.o 2>&5 + echo "$RANLIB libconftest.a" >&5 + $RANLIB libconftest.a 2>&5 + cat > conftest.c << _LT_EOF +int main() { return 0;} +_LT_EOF + echo "$LTCC $LTCFLAGS $LDFLAGS -o conftest conftest.c -Wl,-force_load,./libconftest.a" >&5 + $LTCC $LTCFLAGS $LDFLAGS -o conftest conftest.c -Wl,-force_load,./libconftest.a 2>conftest.err + _lt_result=$? + if test -s conftest.err && $GREP force_load conftest.err; then + cat conftest.err >&5 + elif test -f conftest && test $_lt_result -eq 0 && $GREP forced_load conftest >/dev/null 2>&1 ; then + lt_cv_ld_force_load=yes + else + cat conftest.err >&5 + fi + rm -f conftest.err libconftest.a conftest conftest.c + rm -rf conftest.dSYM + +fi +{ $as_echo "$as_me:${as_lineno-7007}: result: $lt_cv_ld_force_load" >&5 +$as_echo "$lt_cv_ld_force_load" >&6; } + case $host_os in + rhapsody* | darwin1.[012]) + _lt_dar_allow_undefined='${wl}-undefined ${wl}suppress' ;; + darwin1.*) + _lt_dar_allow_undefined='${wl}-flat_namespace ${wl}-undefined ${wl}suppress' ;; + darwin*) # darwin 5.x on + # if running on 10.5 or later, the deployment target defaults + # to the OS version, if on x86, and 10.4, the deployment + # target defaults to 10.4. Don't you love it? + case ${MACOSX_DEPLOYMENT_TARGET-10.0},$host in + 10.0,*86*-darwin8*|10.0,*-darwin[91]*) + _lt_dar_allow_undefined='${wl}-undefined ${wl}dynamic_lookup' ;; + 10.[012]*) + _lt_dar_allow_undefined='${wl}-flat_namespace ${wl}-undefined ${wl}suppress' ;; + 10.*) + _lt_dar_allow_undefined='${wl}-undefined ${wl}dynamic_lookup' ;; + esac + ;; + esac + if test "$lt_cv_apple_cc_single_mod" = "yes"; then + _lt_dar_single_mod='$single_module' + fi + if test "$lt_cv_ld_exported_symbols_list" = "yes"; then + _lt_dar_export_syms=' ${wl}-exported_symbols_list,$output_objdir/${libname}-symbols.expsym' + else + _lt_dar_export_syms='~$NMEDIT -s $output_objdir/${libname}-symbols.expsym ${lib}' + fi + if test "$DSYMUTIL" != ":" && test "$lt_cv_ld_force_load" = "no"; then + _lt_dsymutil='~$DSYMUTIL $lib || :' + else + _lt_dsymutil= + fi + ;; + esac + +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu +{ $as_echo "$as_me:${as_lineno-7049}: checking how to run the C preprocessor" >&5 +$as_echo_n "checking how to run the C preprocessor... " >&6; } +# On Suns, sometimes $CPP names a directory. +if test -n "$CPP" && test -d "$CPP"; then + CPP= +fi +if test -z "$CPP"; then + if ${ac_cv_prog_CPP+:} false; then : + $as_echo_n "(cached) " >&6 +else + # Double quotes because CPP needs to be expanded + for CPP in "$CC -E" "$CC -E -traditional-cpp" "/lib/cpp" + do + ac_preproc_ok=false +for ac_c_preproc_warn_flag in '' yes +do + # Use a header file that comes with gcc, so configuring glibc + # with a fresh cross-compiler works. + # Prefer <limits.h> to <assert.h> if __STDC__ is defined, since + # <limits.h> exists even on freestanding compilers. + # On the NeXT, cc -E runs the code through the compiler's parser, + # not just through cpp. "Syntax error" is here to catch this case. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#ifdef __STDC__ +# include <limits.h> +#else +# include <assert.h> +#endif + Syntax error +_ACEOF +if ac_fn_c_try_cpp "7080"; then : + +else + # Broken: fails on valid input. +continue +fi +rm -f conftest.err conftest.i conftest.$ac_ext + + # OK, works on sane cases. Now check whether nonexistent headers + # can be detected and how. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <ac_nonexistent.h> +_ACEOF +if ac_fn_c_try_cpp "7094"; then : + # Broken: success on invalid input. +continue +else + # Passes both tests. +ac_preproc_ok=: +break +fi +rm -f conftest.err conftest.i conftest.$ac_ext + +done +# Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. +rm -f conftest.i conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : + break +fi + + done + ac_cv_prog_CPP=$CPP + +fi + CPP=$ac_cv_prog_CPP +else + ac_cv_prog_CPP=$CPP +fi +{ $as_echo "$as_me:${as_lineno-7119}: result: $CPP" >&5 +$as_echo "$CPP" >&6; } +ac_preproc_ok=false +for ac_c_preproc_warn_flag in '' yes +do + # Use a header file that comes with gcc, so configuring glibc + # with a fresh cross-compiler works. + # Prefer <limits.h> to <assert.h> if __STDC__ is defined, since + # <limits.h> exists even on freestanding compilers. + # On the NeXT, cc -E runs the code through the compiler's parser, + # not just through cpp. "Syntax error" is here to catch this case. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#ifdef __STDC__ +# include <limits.h> +#else +# include <assert.h> +#endif + Syntax error +_ACEOF +if ac_fn_c_try_cpp "7139"; then : + +else + # Broken: fails on valid input. +continue +fi +rm -f conftest.err conftest.i conftest.$ac_ext + + # OK, works on sane cases. Now check whether nonexistent headers + # can be detected and how. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <ac_nonexistent.h> +_ACEOF +if ac_fn_c_try_cpp "7153"; then : + # Broken: success on invalid input. +continue +else + # Passes both tests. +ac_preproc_ok=: +break +fi +rm -f conftest.err conftest.i conftest.$ac_ext + +done +# Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. +rm -f conftest.i conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : + +else + { { $as_echo "$as_me:${as_lineno-7169}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "C preprocessor \"$CPP\" fails sanity check +See \`config.log' for more details" "7172" 5; } +fi + +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + + +{ $as_echo "$as_me:${as_lineno-7182}: checking for ANSI C header files" >&5 +$as_echo_n "checking for ANSI C header files... " >&6; } +if ${ac_cv_header_stdc+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <stdlib.h> +#include <stdarg.h> +#include <string.h> +#include <float.h> + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "7202"; then : + ac_cv_header_stdc=yes +else + ac_cv_header_stdc=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + +if test $ac_cv_header_stdc = yes; then + # SunOS 4.x string.h does not declare mem*, contrary to ANSI. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <string.h> + +_ACEOF +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "memchr" >/dev/null 2>&1; then : + +else + ac_cv_header_stdc=no +fi +rm -f conftest* + +fi + +if test $ac_cv_header_stdc = yes; then + # ISC 2.0.2 stdlib.h does not declare free, contrary to ANSI. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <stdlib.h> + +_ACEOF +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "free" >/dev/null 2>&1; then : + +else + ac_cv_header_stdc=no +fi +rm -f conftest* + +fi + +if test $ac_cv_header_stdc = yes; then + # /bin/cc in Irix-4.0.5 gets non-ANSI ctype macros unless using -ansi. + if test "$cross_compiling" = yes; then : + : +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <ctype.h> +#include <stdlib.h> +#if ((' ' & 0x0FF) == 0x020) +# define ISLOWER(c) ('a' <= (c) && (c) <= 'z') +# define TOUPPER(c) (ISLOWER(c) ? 'A' + ((c) - 'a') : (c)) +#else +# define ISLOWER(c) \ + (('a' <= (c) && (c) <= 'i') \ + || ('j' <= (c) && (c) <= 'r') \ + || ('s' <= (c) && (c) <= 'z')) +# define TOUPPER(c) (ISLOWER(c) ? ((c) | 0x40) : (c)) +#endif + +#define XOR(e, f) (((e) && !(f)) || (!(e) && (f))) +int +main () +{ + int i; + for (i = 0; i < 256; i++) + if (XOR (islower (i), ISLOWER (i)) + || toupper (i) != TOUPPER (i)) + return 2; + return 0; +} +_ACEOF +if ac_fn_c_try_run "7275"; then : + +else + ac_cv_header_stdc=no +fi +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext +fi + +fi +fi +{ $as_echo "$as_me:${as_lineno-7286}: result: $ac_cv_header_stdc" >&5 +$as_echo "$ac_cv_header_stdc" >&6; } +if test $ac_cv_header_stdc = yes; then + +$as_echo "#define STDC_HEADERS 1" >>confdefs.h + +fi + +# On IRIX 5.3, sys/types and inttypes.h are conflicting. +for ac_header in sys/types.h sys/stat.h stdlib.h string.h memory.h strings.h \ + inttypes.h stdint.h unistd.h +do : + as_ac_Header=`$as_echo "ac_cv_header_$ac_header" | $as_tr_sh` +ac_fn_c_check_header_compile "7299" "$ac_header" "$as_ac_Header" "$ac_includes_default +" +if eval test \"x\$"$as_ac_Header"\" = x"yes"; then : + cat >>confdefs.h <<_ACEOF +#define `$as_echo "HAVE_$ac_header" | $as_tr_cpp` 1 +_ACEOF + +fi + +done + + +for ac_header in dlfcn.h +do : + ac_fn_c_check_header_compile "7313" "dlfcn.h" "ac_cv_header_dlfcn_h" "$ac_includes_default +" +if test "x$ac_cv_header_dlfcn_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_DLFCN_H 1 +_ACEOF + +fi + +done + + + + + +# Set options + + + + enable_dlopen=no + + + enable_win32_dll=no + + + # Check whether --enable-shared was given. +if test "${enable_shared+set}" = set; then : + enableval=$enable_shared; p=${PACKAGE-default} + case $enableval in + yes) enable_shared=yes ;; + no) enable_shared=no ;; + *) + enable_shared=no + # Look at the argument we got. We use all the common list separators. + lt_save_ifs="$IFS"; IFS="${IFS}$PATH_SEPARATOR," + for pkg in $enableval; do + IFS="$lt_save_ifs" + if test "X$pkg" = "X$p"; then + enable_shared=yes + fi + done + IFS="$lt_save_ifs" + ;; + esac +else + enable_shared=yes +fi + + + + + + + + + + # Check whether --enable-static was given. +if test "${enable_static+set}" = set; then : + enableval=$enable_static; p=${PACKAGE-default} + case $enableval in + yes) enable_static=yes ;; + no) enable_static=no ;; + *) + enable_static=no + # Look at the argument we got. We use all the common list separators. + lt_save_ifs="$IFS"; IFS="${IFS}$PATH_SEPARATOR," + for pkg in $enableval; do + IFS="$lt_save_ifs" + if test "X$pkg" = "X$p"; then + enable_static=yes + fi + done + IFS="$lt_save_ifs" + ;; + esac +else + enable_static=yes +fi + + + + + + + + + + +# Check whether --with-pic was given. +if test "${with_pic+set}" = set; then : + withval=$with_pic; lt_p=${PACKAGE-default} + case $withval in + yes|no) pic_mode=$withval ;; + *) + pic_mode=default + # Look at the argument we got. We use all the common list separators. + lt_save_ifs="$IFS"; IFS="${IFS}$PATH_SEPARATOR," + for lt_pkg in $withval; do + IFS="$lt_save_ifs" + if test "X$lt_pkg" = "X$lt_p"; then + pic_mode=yes + fi + done + IFS="$lt_save_ifs" + ;; + esac +else + pic_mode=default +fi + + +test -z "$pic_mode" && pic_mode=default + + + + + + + + # Check whether --enable-fast-install was given. +if test "${enable_fast_install+set}" = set; then : + enableval=$enable_fast_install; p=${PACKAGE-default} + case $enableval in + yes) enable_fast_install=yes ;; + no) enable_fast_install=no ;; + *) + enable_fast_install=no + # Look at the argument we got. We use all the common list separators. + lt_save_ifs="$IFS"; IFS="${IFS}$PATH_SEPARATOR," + for pkg in $enableval; do + IFS="$lt_save_ifs" + if test "X$pkg" = "X$p"; then + enable_fast_install=yes + fi + done + IFS="$lt_save_ifs" + ;; + esac +else + enable_fast_install=yes +fi + + + + + + + + + + + +# This can be used to rebuild libtool when needed +LIBTOOL_DEPS="$ltmain" + +# Always use our own libtool. +LIBTOOL='$(SHELL) $(top_builddir)/libtool' + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +test -z "$LN_S" && LN_S="ln -s" + + + + + + + + + + + + + + +if test -n "${ZSH_VERSION+set}" ; then + setopt NO_GLOB_SUBST +fi + +{ $as_echo "$as_me:${as_lineno-7519}: checking for objdir" >&5 +$as_echo_n "checking for objdir... " >&6; } +if ${lt_cv_objdir+:} false; then : + $as_echo_n "(cached) " >&6 +else + rm -f .libs 2>/dev/null +mkdir .libs 2>/dev/null +if test -d .libs; then + lt_cv_objdir=.libs +else + # MS-DOS does not allow filenames that begin with a dot. + lt_cv_objdir=_libs +fi +rmdir .libs 2>/dev/null +fi +{ $as_echo "$as_me:${as_lineno-7534}: result: $lt_cv_objdir" >&5 +$as_echo "$lt_cv_objdir" >&6; } +objdir=$lt_cv_objdir + + + + + +cat >>confdefs.h <<_ACEOF +#define LT_OBJDIR "$lt_cv_objdir/" +_ACEOF + + + + +case $host_os in +aix3*) + # AIX sometimes has problems with the GCC collect2 program. For some + # reason, if we set the COLLECT_NAMES environment variable, the problems + # vanish in a puff of smoke. + if test "X${COLLECT_NAMES+set}" != Xset; then + COLLECT_NAMES= + export COLLECT_NAMES + fi + ;; +esac + +# Global variables: +ofile=libtool +can_build_shared=yes + +# All known linkers require a `.a' archive for static linking (except MSVC, +# which needs '.lib'). +libext=a + +with_gnu_ld="$lt_cv_prog_gnu_ld" + +old_CC="$CC" +old_CFLAGS="$CFLAGS" + +# Set sane defaults for various variables +test -z "$CC" && CC=cc +test -z "$LTCC" && LTCC=$CC +test -z "$LTCFLAGS" && LTCFLAGS=$CFLAGS +test -z "$LD" && LD=ld +test -z "$ac_objext" && ac_objext=o + +for cc_temp in $compiler""; do + case $cc_temp in + compile | *[\\/]compile | ccache | *[\\/]ccache ) ;; + distcc | *[\\/]distcc | purify | *[\\/]purify ) ;; + \-*) ;; + *) break;; + esac +done +cc_basename=`$ECHO "$cc_temp" | $SED "s%.*/%%; s%^$host_alias-%%"` + + +# Only perform the check for file, if the check method requires it +test -z "$MAGIC_CMD" && MAGIC_CMD=file +case $deplibs_check_method in +file_magic*) + if test "$file_magic_cmd" = '$MAGIC_CMD'; then + { $as_echo "$as_me:${as_lineno-7597}: checking for ${ac_tool_prefix}file" >&5 +$as_echo_n "checking for ${ac_tool_prefix}file... " >&6; } +if ${lt_cv_path_MAGIC_CMD+:} false; then : + $as_echo_n "(cached) " >&6 +else + case $MAGIC_CMD in +[\\/*] | ?:[\\/]*) + lt_cv_path_MAGIC_CMD="$MAGIC_CMD" # Let the user override the test with a path. + ;; +*) + lt_save_MAGIC_CMD="$MAGIC_CMD" + lt_save_ifs="$IFS"; IFS=$PATH_SEPARATOR + ac_dummy="/usr/bin$PATH_SEPARATOR$PATH" + for ac_dir in $ac_dummy; do + IFS="$lt_save_ifs" + test -z "$ac_dir" && ac_dir=. + if test -f $ac_dir/${ac_tool_prefix}file; then + lt_cv_path_MAGIC_CMD="$ac_dir/${ac_tool_prefix}file" + if test -n "$file_magic_test_file"; then + case $deplibs_check_method in + "file_magic "*) + file_magic_regex=`expr "$deplibs_check_method" : "file_magic \(.*\)"` + MAGIC_CMD="$lt_cv_path_MAGIC_CMD" + if eval $file_magic_cmd \$file_magic_test_file 2> /dev/null | + $EGREP "$file_magic_regex" > /dev/null; then + : + else + cat <<_LT_EOF 1>&2 + +*** Warning: the command libtool uses to detect shared libraries, +*** $file_magic_cmd, produces output that libtool cannot recognize. +*** The result is that libtool may fail to recognize shared libraries +*** as such. This will affect the creation of libtool libraries that +*** depend on shared libraries, but programs linked with such libtool +*** libraries will work regardless of this problem. Nevertheless, you +*** may want to report the problem to your system manager and/or to +*** bug-libtool@gnu.org + +_LT_EOF + fi ;; + esac + fi + break + fi + done + IFS="$lt_save_ifs" + MAGIC_CMD="$lt_save_MAGIC_CMD" + ;; +esac +fi + +MAGIC_CMD="$lt_cv_path_MAGIC_CMD" +if test -n "$MAGIC_CMD"; then + { $as_echo "$as_me:${as_lineno-7650}: result: $MAGIC_CMD" >&5 +$as_echo "$MAGIC_CMD" >&6; } +else + { $as_echo "$as_me:${as_lineno-7653}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + + + +if test -z "$lt_cv_path_MAGIC_CMD"; then + if test -n "$ac_tool_prefix"; then + { $as_echo "$as_me:${as_lineno-7663}: checking for file" >&5 +$as_echo_n "checking for file... " >&6; } +if ${lt_cv_path_MAGIC_CMD+:} false; then : + $as_echo_n "(cached) " >&6 +else + case $MAGIC_CMD in +[\\/*] | ?:[\\/]*) + lt_cv_path_MAGIC_CMD="$MAGIC_CMD" # Let the user override the test with a path. + ;; +*) + lt_save_MAGIC_CMD="$MAGIC_CMD" + lt_save_ifs="$IFS"; IFS=$PATH_SEPARATOR + ac_dummy="/usr/bin$PATH_SEPARATOR$PATH" + for ac_dir in $ac_dummy; do + IFS="$lt_save_ifs" + test -z "$ac_dir" && ac_dir=. + if test -f $ac_dir/file; then + lt_cv_path_MAGIC_CMD="$ac_dir/file" + if test -n "$file_magic_test_file"; then + case $deplibs_check_method in + "file_magic "*) + file_magic_regex=`expr "$deplibs_check_method" : "file_magic \(.*\)"` + MAGIC_CMD="$lt_cv_path_MAGIC_CMD" + if eval $file_magic_cmd \$file_magic_test_file 2> /dev/null | + $EGREP "$file_magic_regex" > /dev/null; then + : + else + cat <<_LT_EOF 1>&2 + +*** Warning: the command libtool uses to detect shared libraries, +*** $file_magic_cmd, produces output that libtool cannot recognize. +*** The result is that libtool may fail to recognize shared libraries +*** as such. This will affect the creation of libtool libraries that +*** depend on shared libraries, but programs linked with such libtool +*** libraries will work regardless of this problem. Nevertheless, you +*** may want to report the problem to your system manager and/or to +*** bug-libtool@gnu.org + +_LT_EOF + fi ;; + esac + fi + break + fi + done + IFS="$lt_save_ifs" + MAGIC_CMD="$lt_save_MAGIC_CMD" + ;; +esac +fi + +MAGIC_CMD="$lt_cv_path_MAGIC_CMD" +if test -n "$MAGIC_CMD"; then + { $as_echo "$as_me:${as_lineno-7716}: result: $MAGIC_CMD" >&5 +$as_echo "$MAGIC_CMD" >&6; } +else + { $as_echo "$as_me:${as_lineno-7719}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + else + MAGIC_CMD=: + fi +fi + + fi + ;; +esac + +# Use C for the default configuration in the libtool script + +lt_save_CC="$CC" +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + + +# Source file extension for C test sources. +ac_ext=c + +# Object file extension for compiled C test sources. +objext=o +objext=$objext + +# Code to be used in simple compile tests +lt_simple_compile_test_code="int some_variable = 0;" + +# Code to be used in simple link tests +lt_simple_link_test_code='int main(){return(0);}' + + + + + + + +# If no C compiler was specified, use CC. +LTCC=${LTCC-"$CC"} + +# If no C compiler flags were specified, use CFLAGS. +LTCFLAGS=${LTCFLAGS-"$CFLAGS"} + +# Allow CC to be a program name with arguments. +compiler=$CC + +# Save the default compiler, since it gets overwritten when the other +# tags are being tested, and _LT_TAGVAR(compiler, []) is a NOP. +compiler_DEFAULT=$CC + +# save warnings/boilerplate of simple test code +ac_outfile=conftest.$ac_objext +echo "$lt_simple_compile_test_code" >conftest.$ac_ext +eval "$ac_compile" 2>&1 >/dev/null | $SED '/^$/d; /^ *+/d' >conftest.err +_lt_compiler_boilerplate=`cat conftest.err` +$RM conftest* + +ac_outfile=conftest.$ac_objext +echo "$lt_simple_link_test_code" >conftest.$ac_ext +eval "$ac_link" 2>&1 >/dev/null | $SED '/^$/d; /^ *+/d' >conftest.err +_lt_linker_boilerplate=`cat conftest.err` +$RM -r conftest* + + +if test -n "$compiler"; then + +lt_prog_compiler_no_builtin_flag= + +if test "$GCC" = yes; then + case $cc_basename in + nvcc*) + lt_prog_compiler_no_builtin_flag=' -Xcompiler -fno-builtin' ;; + *) + lt_prog_compiler_no_builtin_flag=' -fno-builtin' ;; + esac + + { $as_echo "$as_me:${as_lineno-7801}: checking if $compiler supports -fno-rtti -fno-exceptions" >&5 +$as_echo_n "checking if $compiler supports -fno-rtti -fno-exceptions... " >&6; } +if ${lt_cv_prog_compiler_rtti_exceptions+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler_rtti_exceptions=no + ac_outfile=conftest.$ac_objext + echo "$lt_simple_compile_test_code" > conftest.$ac_ext + lt_compiler_flag="-fno-rtti -fno-exceptions" + # Insert the option either (1) after the last *FLAGS variable, or + # (2) before a word containing "conftest.", or (3) at the end. + # Note that $ac_compile itself does not contain backslashes and begins + # with a dollar sign (not a hyphen), so the echo should work correctly. + # The option is referenced via a variable to avoid confusing sed. + lt_compile=`echo "$ac_compile" | $SED \ + -e 's:.*FLAGS}\{0,1\} :&$lt_compiler_flag :; t' \ + -e 's: [^ ]*conftest\.: $lt_compiler_flag&:; t' \ + -e 's:$: $lt_compiler_flag:'` + (eval echo "\"\$as_me:7819: $lt_compile\"" >&5) + (eval "$lt_compile" 2>conftest.err) + ac_status=$? + cat conftest.err >&5 + echo "$as_me:7823: \$? = $ac_status" >&5 + if (exit $ac_status) && test -s "$ac_outfile"; then + # The compiler can only warn and ignore the option if not recognized + # So say no if there are warnings other than the usual output. + $ECHO "$_lt_compiler_boilerplate" | $SED '/^$/d' >conftest.exp + $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 + if test ! -s conftest.er2 || diff conftest.exp conftest.er2 >/dev/null; then + lt_cv_prog_compiler_rtti_exceptions=yes + fi + fi + $RM conftest* + +fi +{ $as_echo "$as_me:${as_lineno-7836}: result: $lt_cv_prog_compiler_rtti_exceptions" >&5 +$as_echo "$lt_cv_prog_compiler_rtti_exceptions" >&6; } + +if test x"$lt_cv_prog_compiler_rtti_exceptions" = xyes; then + lt_prog_compiler_no_builtin_flag="$lt_prog_compiler_no_builtin_flag -fno-rtti -fno-exceptions" +else + : +fi + +fi + + + + + + + lt_prog_compiler_wl= +lt_prog_compiler_pic= +lt_prog_compiler_static= + + + if test "$GCC" = yes; then + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_static='-static' + + case $host_os in + aix*) + # All AIX code is PIC. + if test "$host_cpu" = ia64; then + # AIX 5 now supports IA64 processor + lt_prog_compiler_static='-Bstatic' + fi + ;; + + amigaos*) + case $host_cpu in + powerpc) + # see comment about AmigaOS4 .so support + lt_prog_compiler_pic='-fPIC' + ;; + m68k) + # FIXME: we need at least 68020 code to build shared libraries, but + # adding the `-m68020' flag to GCC prevents building anything better, + # like `-m68040'. + lt_prog_compiler_pic='-m68020 -resident32 -malways-restore-a4' + ;; + esac + ;; + + beos* | irix5* | irix6* | nonstopux* | osf3* | osf4* | osf5*) + # PIC is the default for these OSes. + ;; + + mingw* | cygwin* | pw32* | os2* | cegcc*) + # This hack is so that the source file can tell whether it is being + # built for inclusion in a dll (and should export symbols for example). + # Although the cygwin gcc ignores -fPIC, still need this for old-style + # (--disable-auto-import) libraries + lt_prog_compiler_pic='-DDLL_EXPORT' + ;; + + darwin* | rhapsody*) + # PIC is the default on this platform + # Common symbols not allowed in MH_DYLIB files + lt_prog_compiler_pic='-fno-common' + ;; + + haiku*) + # PIC is the default for Haiku. + # The "-static" flag exists, but is broken. + lt_prog_compiler_static= + ;; + + hpux*) + # PIC is the default for 64-bit PA HP-UX, but not for 32-bit + # PA HP-UX. On IA64 HP-UX, PIC is the default but the pic flag + # sets the default TLS model and affects inlining. + case $host_cpu in + hppa*64*) + # +Z the default + ;; + *) + lt_prog_compiler_pic='-fPIC' + ;; + esac + ;; + + interix[3-9]*) + # Interix 3.x gcc -fpic/-fPIC options generate broken code. + # Instead, we relocate shared libraries at runtime. + ;; + + msdosdjgpp*) + # Just because we use GCC doesn't mean we suddenly get shared libraries + # on systems that don't support them. + lt_prog_compiler_can_build_shared=no + enable_shared=no + ;; + + *nto* | *qnx*) + # QNX uses GNU C++, but need to define -shared option too, otherwise + # it will coredump. + lt_prog_compiler_pic='-fPIC -shared' + ;; + + sysv4*MP*) + if test -d /usr/nec; then + lt_prog_compiler_pic=-Kconform_pic + fi + ;; + + *) + lt_prog_compiler_pic='-fPIC' + ;; + esac + + case $cc_basename in + nvcc*) # Cuda Compiler Driver 2.2 + lt_prog_compiler_wl='-Xlinker ' + if test -n "$lt_prog_compiler_pic"; then + lt_prog_compiler_pic="-Xcompiler $lt_prog_compiler_pic" + fi + ;; + esac + else + # PORTME Check for flag to pass linker flags through the system compiler. + case $host_os in + aix*) + lt_prog_compiler_wl='-Wl,' + if test "$host_cpu" = ia64; then + # AIX 5 now supports IA64 processor + lt_prog_compiler_static='-Bstatic' + else + lt_prog_compiler_static='-bnso -bI:/lib/syscalls.exp' + fi + ;; + + mingw* | cygwin* | pw32* | os2* | cegcc*) + # This hack is so that the source file can tell whether it is being + # built for inclusion in a dll (and should export symbols for example). + lt_prog_compiler_pic='-DDLL_EXPORT' + ;; + + hpux9* | hpux10* | hpux11*) + lt_prog_compiler_wl='-Wl,' + # PIC is the default for IA64 HP-UX and 64-bit HP-UX, but + # not for PA HP-UX. + case $host_cpu in + hppa*64*|ia64*) + # +Z the default + ;; + *) + lt_prog_compiler_pic='+Z' + ;; + esac + # Is there a better lt_prog_compiler_static that works with the bundled CC? + lt_prog_compiler_static='${wl}-a ${wl}archive' + ;; + + irix5* | irix6* | nonstopux*) + lt_prog_compiler_wl='-Wl,' + # PIC (with -KPIC) is the default. + lt_prog_compiler_static='-non_shared' + ;; + + linux* | k*bsd*-gnu | kopensolaris*-gnu) + case $cc_basename in + # old Intel for x86_64 which still supported -KPIC. + ecc*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-static' + ;; + # icc used to be incompatible with GCC. + # ICC 10 doesn't accept -KPIC any more. + icc* | ifort*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-fPIC' + lt_prog_compiler_static='-static' + ;; + # Lahey Fortran 8.1. + lf95*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='--shared' + lt_prog_compiler_static='--static' + ;; + nagfor*) + # NAG Fortran compiler + lt_prog_compiler_wl='-Wl,-Wl,,' + lt_prog_compiler_pic='-PIC' + lt_prog_compiler_static='-Bstatic' + ;; + pgcc* | pgf77* | pgf90* | pgf95* | pgfortran*) + # Portland Group compilers (*not* the Pentium gcc compiler, + # which looks to be a dead project) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-fpic' + lt_prog_compiler_static='-Bstatic' + ;; + ccc*) + lt_prog_compiler_wl='-Wl,' + # All Alpha code is PIC. + lt_prog_compiler_static='-non_shared' + ;; + xl* | bgxl* | bgf* | mpixl*) + # IBM XL C 8.0/Fortran 10.1, 11.1 on PPC and BlueGene + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-qpic' + lt_prog_compiler_static='-qstaticlink' + ;; + *) + case `$CC -V 2>&1 | sed 5q` in + *Sun\ Ceres\ Fortran* | *Sun*Fortran*\ [1-7].* | *Sun*Fortran*\ 8.[0-3]*) + # Sun Fortran 8.3 passes all unrecognized flags to the linker + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + lt_prog_compiler_wl='' + ;; + *Sun\ F* | *Sun*Fortran*) + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + lt_prog_compiler_wl='-Qoption ld ' + ;; + *Sun\ C*) + # Sun C 5.9 + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + lt_prog_compiler_wl='-Wl,' + ;; + *Intel*\ [CF]*Compiler*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-fPIC' + lt_prog_compiler_static='-static' + ;; + *Portland\ Group*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-fpic' + lt_prog_compiler_static='-Bstatic' + ;; + esac + ;; + esac + ;; + + newsos6) + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + ;; + + *nto* | *qnx*) + # QNX uses GNU C++, but need to define -shared option too, otherwise + # it will coredump. + lt_prog_compiler_pic='-fPIC -shared' + ;; + + osf3* | osf4* | osf5*) + lt_prog_compiler_wl='-Wl,' + # All OSF/1 code is PIC. + lt_prog_compiler_static='-non_shared' + ;; + + rdos*) + lt_prog_compiler_static='-non_shared' + ;; + + solaris*) + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + case $cc_basename in + f77* | f90* | f95* | sunf77* | sunf90* | sunf95*) + lt_prog_compiler_wl='-Qoption ld ';; + *) + lt_prog_compiler_wl='-Wl,';; + esac + ;; + + sunos4*) + lt_prog_compiler_wl='-Qoption ld ' + lt_prog_compiler_pic='-PIC' + lt_prog_compiler_static='-Bstatic' + ;; + + sysv4 | sysv4.2uw2* | sysv4.3*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + ;; + + sysv4*MP*) + if test -d /usr/nec ;then + lt_prog_compiler_pic='-Kconform_pic' + lt_prog_compiler_static='-Bstatic' + fi + ;; + + sysv5* | unixware* | sco3.2v5* | sco5v6* | OpenUNIX*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_pic='-KPIC' + lt_prog_compiler_static='-Bstatic' + ;; + + unicos*) + lt_prog_compiler_wl='-Wl,' + lt_prog_compiler_can_build_shared=no + ;; + + uts4*) + lt_prog_compiler_pic='-pic' + lt_prog_compiler_static='-Bstatic' + ;; + + *) + lt_prog_compiler_can_build_shared=no + ;; + esac + fi + +case $host_os in + # For platforms which do not support PIC, -DPIC is meaningless: + *djgpp*) + lt_prog_compiler_pic= + ;; + *) + lt_prog_compiler_pic="$lt_prog_compiler_pic -DPIC" + ;; +esac + +{ $as_echo "$as_me:${as_lineno-8163}: checking for $compiler option to produce PIC" >&5 +$as_echo_n "checking for $compiler option to produce PIC... " >&6; } +if ${lt_cv_prog_compiler_pic+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler_pic=$lt_prog_compiler_pic +fi +{ $as_echo "$as_me:${as_lineno-8170}: result: $lt_cv_prog_compiler_pic" >&5 +$as_echo "$lt_cv_prog_compiler_pic" >&6; } +lt_prog_compiler_pic=$lt_cv_prog_compiler_pic + +# +# Check to make sure the PIC flag actually works. +# +if test -n "$lt_prog_compiler_pic"; then + { $as_echo "$as_me:${as_lineno-8178}: checking if $compiler PIC flag $lt_prog_compiler_pic works" >&5 +$as_echo_n "checking if $compiler PIC flag $lt_prog_compiler_pic works... " >&6; } +if ${lt_cv_prog_compiler_pic_works+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler_pic_works=no + ac_outfile=conftest.$ac_objext + echo "$lt_simple_compile_test_code" > conftest.$ac_ext + lt_compiler_flag="$lt_prog_compiler_pic -DPIC" + # Insert the option either (1) after the last *FLAGS variable, or + # (2) before a word containing "conftest.", or (3) at the end. + # Note that $ac_compile itself does not contain backslashes and begins + # with a dollar sign (not a hyphen), so the echo should work correctly. + # The option is referenced via a variable to avoid confusing sed. + lt_compile=`echo "$ac_compile" | $SED \ + -e 's:.*FLAGS}\{0,1\} :&$lt_compiler_flag :; t' \ + -e 's: [^ ]*conftest\.: $lt_compiler_flag&:; t' \ + -e 's:$: $lt_compiler_flag:'` + (eval echo "\"\$as_me:8196: $lt_compile\"" >&5) + (eval "$lt_compile" 2>conftest.err) + ac_status=$? + cat conftest.err >&5 + echo "$as_me:8200: \$? = $ac_status" >&5 + if (exit $ac_status) && test -s "$ac_outfile"; then + # The compiler can only warn and ignore the option if not recognized + # So say no if there are warnings other than the usual output. + $ECHO "$_lt_compiler_boilerplate" | $SED '/^$/d' >conftest.exp + $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 + if test ! -s conftest.er2 || diff conftest.exp conftest.er2 >/dev/null; then + lt_cv_prog_compiler_pic_works=yes + fi + fi + $RM conftest* + +fi +{ $as_echo "$as_me:${as_lineno-8213}: result: $lt_cv_prog_compiler_pic_works" >&5 +$as_echo "$lt_cv_prog_compiler_pic_works" >&6; } + +if test x"$lt_cv_prog_compiler_pic_works" = xyes; then + case $lt_prog_compiler_pic in + "" | " "*) ;; + *) lt_prog_compiler_pic=" $lt_prog_compiler_pic" ;; + esac +else + lt_prog_compiler_pic= + lt_prog_compiler_can_build_shared=no +fi + +fi + + + + + + + + + + + +# +# Check to make sure the static flag actually works. +# +wl=$lt_prog_compiler_wl eval lt_tmp_static_flag=\"$lt_prog_compiler_static\" +{ $as_echo "$as_me:${as_lineno-8242}: checking if $compiler static flag $lt_tmp_static_flag works" >&5 +$as_echo_n "checking if $compiler static flag $lt_tmp_static_flag works... " >&6; } +if ${lt_cv_prog_compiler_static_works+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler_static_works=no + save_LDFLAGS="$LDFLAGS" + LDFLAGS="$LDFLAGS $lt_tmp_static_flag" + echo "$lt_simple_link_test_code" > conftest.$ac_ext + if (eval $ac_link 2>conftest.err) && test -s conftest$ac_exeext; then + # The linker can only warn and ignore the option if not recognized + # So say no if there are warnings + if test -s conftest.err; then + # Append any errors to the config.log. + cat conftest.err 1>&5 + $ECHO "$_lt_linker_boilerplate" | $SED '/^$/d' > conftest.exp + $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 + if diff conftest.exp conftest.er2 >/dev/null; then + lt_cv_prog_compiler_static_works=yes + fi + else + lt_cv_prog_compiler_static_works=yes + fi + fi + $RM -r conftest* + LDFLAGS="$save_LDFLAGS" + +fi +{ $as_echo "$as_me:${as_lineno-8270}: result: $lt_cv_prog_compiler_static_works" >&5 +$as_echo "$lt_cv_prog_compiler_static_works" >&6; } + +if test x"$lt_cv_prog_compiler_static_works" = xyes; then + : +else + lt_prog_compiler_static= +fi + + + + + + + + { $as_echo "$as_me:${as_lineno-8285}: checking if $compiler supports -c -o file.$ac_objext" >&5 +$as_echo_n "checking if $compiler supports -c -o file.$ac_objext... " >&6; } +if ${lt_cv_prog_compiler_c_o+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler_c_o=no + $RM -r conftest 2>/dev/null + mkdir conftest + cd conftest + mkdir out + echo "$lt_simple_compile_test_code" > conftest.$ac_ext + + lt_compiler_flag="-o out/conftest2.$ac_objext" + # Insert the option either (1) after the last *FLAGS variable, or + # (2) before a word containing "conftest.", or (3) at the end. + # Note that $ac_compile itself does not contain backslashes and begins + # with a dollar sign (not a hyphen), so the echo should work correctly. + lt_compile=`echo "$ac_compile" | $SED \ + -e 's:.*FLAGS}\{0,1\} :&$lt_compiler_flag :; t' \ + -e 's: [^ ]*conftest\.: $lt_compiler_flag&:; t' \ + -e 's:$: $lt_compiler_flag:'` + (eval echo "\"\$as_me:8306: $lt_compile\"" >&5) + (eval "$lt_compile" 2>out/conftest.err) + ac_status=$? + cat out/conftest.err >&5 + echo "$as_me:8310: \$? = $ac_status" >&5 + if (exit $ac_status) && test -s out/conftest2.$ac_objext + then + # The compiler can only warn and ignore the option if not recognized + # So say no if there are warnings + $ECHO "$_lt_compiler_boilerplate" | $SED '/^$/d' > out/conftest.exp + $SED '/^$/d; /^ *+/d' out/conftest.err >out/conftest.er2 + if test ! -s out/conftest.er2 || diff out/conftest.exp out/conftest.er2 >/dev/null; then + lt_cv_prog_compiler_c_o=yes + fi + fi + chmod u+w . 2>&5 + $RM conftest* + # SGI C++ compiler will create directory out/ii_files/ for + # template instantiation + test -d out/ii_files && $RM out/ii_files/* && rmdir out/ii_files + $RM out/* && rmdir out + cd .. + $RM -r conftest + $RM conftest* + +fi +{ $as_echo "$as_me:${as_lineno-8332}: result: $lt_cv_prog_compiler_c_o" >&5 +$as_echo "$lt_cv_prog_compiler_c_o" >&6; } + + + + + + + { $as_echo "$as_me:${as_lineno-8340}: checking if $compiler supports -c -o file.$ac_objext" >&5 +$as_echo_n "checking if $compiler supports -c -o file.$ac_objext... " >&6; } +if ${lt_cv_prog_compiler_c_o+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler_c_o=no + $RM -r conftest 2>/dev/null + mkdir conftest + cd conftest + mkdir out + echo "$lt_simple_compile_test_code" > conftest.$ac_ext + + lt_compiler_flag="-o out/conftest2.$ac_objext" + # Insert the option either (1) after the last *FLAGS variable, or + # (2) before a word containing "conftest.", or (3) at the end. + # Note that $ac_compile itself does not contain backslashes and begins + # with a dollar sign (not a hyphen), so the echo should work correctly. + lt_compile=`echo "$ac_compile" | $SED \ + -e 's:.*FLAGS}\{0,1\} :&$lt_compiler_flag :; t' \ + -e 's: [^ ]*conftest\.: $lt_compiler_flag&:; t' \ + -e 's:$: $lt_compiler_flag:'` + (eval echo "\"\$as_me:8361: $lt_compile\"" >&5) + (eval "$lt_compile" 2>out/conftest.err) + ac_status=$? + cat out/conftest.err >&5 + echo "$as_me:8365: \$? = $ac_status" >&5 + if (exit $ac_status) && test -s out/conftest2.$ac_objext + then + # The compiler can only warn and ignore the option if not recognized + # So say no if there are warnings + $ECHO "$_lt_compiler_boilerplate" | $SED '/^$/d' > out/conftest.exp + $SED '/^$/d; /^ *+/d' out/conftest.err >out/conftest.er2 + if test ! -s out/conftest.er2 || diff out/conftest.exp out/conftest.er2 >/dev/null; then + lt_cv_prog_compiler_c_o=yes + fi + fi + chmod u+w . 2>&5 + $RM conftest* + # SGI C++ compiler will create directory out/ii_files/ for + # template instantiation + test -d out/ii_files && $RM out/ii_files/* && rmdir out/ii_files + $RM out/* && rmdir out + cd .. + $RM -r conftest + $RM conftest* + +fi +{ $as_echo "$as_me:${as_lineno-8387}: result: $lt_cv_prog_compiler_c_o" >&5 +$as_echo "$lt_cv_prog_compiler_c_o" >&6; } + + + + +hard_links="nottested" +if test "$lt_cv_prog_compiler_c_o" = no && test "$need_locks" != no; then + # do not overwrite the value of need_locks provided by the user + { $as_echo "$as_me:${as_lineno-8396}: checking if we can lock with hard links" >&5 +$as_echo_n "checking if we can lock with hard links... " >&6; } + hard_links=yes + $RM conftest* + ln conftest.a conftest.b 2>/dev/null && hard_links=no + touch conftest.a + ln conftest.a conftest.b 2>&5 || hard_links=no + ln conftest.a conftest.b 2>/dev/null && hard_links=no + { $as_echo "$as_me:${as_lineno-8404}: result: $hard_links" >&5 +$as_echo "$hard_links" >&6; } + if test "$hard_links" = no; then + { $as_echo "$as_me:${as_lineno-8407}: WARNING: \`$CC' does not support \`-c -o', so \`make -j' may be unsafe" >&5 +$as_echo "$as_me: WARNING: \`$CC' does not support \`-c -o', so \`make -j' may be unsafe" >&2;} + need_locks=warn + fi +else + need_locks=no +fi + + + + + + + { $as_echo "$as_me:${as_lineno-8420}: checking whether the $compiler linker ($LD) supports shared libraries" >&5 +$as_echo_n "checking whether the $compiler linker ($LD) supports shared libraries... " >&6; } + + runpath_var= + allow_undefined_flag= + always_export_symbols=no + archive_cmds= + archive_expsym_cmds= + compiler_needs_object=no + enable_shared_with_static_runtimes=no + export_dynamic_flag_spec= + export_symbols_cmds='$NM $libobjs $convenience | $global_symbol_pipe | $SED '\''s/.* //'\'' | sort | uniq > $export_symbols' + hardcode_automatic=no + hardcode_direct=no + hardcode_direct_absolute=no + hardcode_libdir_flag_spec= + hardcode_libdir_separator= + hardcode_minus_L=no + hardcode_shlibpath_var=unsupported + inherit_rpath=no + link_all_deplibs=unknown + module_cmds= + module_expsym_cmds= + old_archive_from_new_cmds= + old_archive_from_expsyms_cmds= + thread_safe_flag_spec= + whole_archive_flag_spec= + # include_expsyms should be a list of space-separated symbols to be *always* + # included in the symbol list + include_expsyms= + # exclude_expsyms can be an extended regexp of symbols to exclude + # it will be wrapped by ` (' and `)$', so one must not match beginning or + # end of line. Example: `a|bc|.*d.*' will exclude the symbols `a' and `bc', + # as well as any symbol that contains `d'. + exclude_expsyms='_GLOBAL_OFFSET_TABLE_|_GLOBAL__F[ID]_.*' + # Although _GLOBAL_OFFSET_TABLE_ is a valid symbol C name, most a.out + # platforms (ab)use it in PIC code, but their linkers get confused if + # the symbol is explicitly referenced. Since portable code cannot + # rely on this symbol name, it's probably fine to never include it in + # preloaded symbol tables. + # Exclude shared library initialization/finalization symbols. + extract_expsyms_cmds= + + case $host_os in + cygwin* | mingw* | pw32* | cegcc*) + # FIXME: the MSVC++ port hasn't been tested in a loooong time + # When not using gcc, we currently assume that we are using + # Microsoft Visual C++. + if test "$GCC" != yes; then + with_gnu_ld=no + fi + ;; + interix*) + # we just hope/assume this is gcc and not c89 (= MSVC++) + with_gnu_ld=yes + ;; + openbsd*) + with_gnu_ld=no + ;; + linux* | k*bsd*-gnu | gnu*) + link_all_deplibs=no + ;; + esac + + ld_shlibs=yes + + # On some targets, GNU ld is compatible enough with the native linker + # that we're better off using the native interface for both. + lt_use_gnu_ld_interface=no + if test "$with_gnu_ld" = yes; then + case $host_os in + aix*) + # The AIX port of GNU ld has always aspired to compatibility + # with the native linker. However, as the warning in the GNU ld + # block says, versions before 2.19.5* couldn't really create working + # shared libraries, regardless of the interface used. + case `$LD -v 2>&1` in + *\ \(GNU\ Binutils\)\ 2.19.5*) ;; + *\ \(GNU\ Binutils\)\ 2.[2-9]*) ;; + *\ \(GNU\ Binutils\)\ [3-9]*) ;; + *) + lt_use_gnu_ld_interface=yes + ;; + esac + ;; + *) + lt_use_gnu_ld_interface=yes + ;; + esac + fi + + if test "$lt_use_gnu_ld_interface" = yes; then + # If archive_cmds runs LD, not CC, wlarc should be empty + wlarc='${wl}' + + # Set some defaults for GNU ld with shared library support. These + # are reset later if shared libraries are not supported. Putting them + # here allows them to be overridden if necessary. + runpath_var=LD_RUN_PATH + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + export_dynamic_flag_spec='${wl}--export-dynamic' + # ancient GNU ld didn't support --whole-archive et. al. + if $LD --help 2>&1 | $GREP 'no-whole-archive' > /dev/null; then + whole_archive_flag_spec="$wlarc"'--whole-archive$convenience '"$wlarc"'--no-whole-archive' + else + whole_archive_flag_spec= + fi + supports_anon_versioning=no + case `$LD -v 2>&1` in + *GNU\ gold*) supports_anon_versioning=yes ;; + *\ [01].* | *\ 2.[0-9].* | *\ 2.10.*) ;; # catch versions < 2.11 + *\ 2.11.93.0.2\ *) supports_anon_versioning=yes ;; # RH7.3 ... + *\ 2.11.92.0.12\ *) supports_anon_versioning=yes ;; # Mandrake 8.2 ... + *\ 2.11.*) ;; # other 2.11 versions + *) supports_anon_versioning=yes ;; + esac + + # See if GNU ld supports shared libraries. + case $host_os in + aix[3-9]*) + # On AIX/PPC, the GNU linker is very broken + if test "$host_cpu" != ia64; then + ld_shlibs=no + cat <<_LT_EOF 1>&2 + +*** Warning: the GNU linker, at least up to release 2.19, is reported +*** to be unable to reliably create shared libraries on AIX. +*** Therefore, libtool is disabling shared libraries support. If you +*** really care for shared libraries, you may want to install binutils +*** 2.20 or above, or modify your PATH so that a non-GNU linker is found. +*** You will then need to restart the configuration process. + +_LT_EOF + fi + ;; + + amigaos*) + case $host_cpu in + powerpc) + # see comment about AmigaOS4 .so support + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + archive_expsym_cmds='' + ;; + m68k) + archive_cmds='$RM $output_objdir/a2ixlibrary.data~$ECHO "#define NAME $libname" > $output_objdir/a2ixlibrary.data~$ECHO "#define LIBRARY_ID 1" >> $output_objdir/a2ixlibrary.data~$ECHO "#define VERSION $major" >> $output_objdir/a2ixlibrary.data~$ECHO "#define REVISION $revision" >> $output_objdir/a2ixlibrary.data~$AR $AR_FLAGS $lib $libobjs~$RANLIB $lib~(cd $output_objdir && a2ixlibrary -32)' + hardcode_libdir_flag_spec='-L$libdir' + hardcode_minus_L=yes + ;; + esac + ;; + + beos*) + if $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then + allow_undefined_flag=unsupported + # Joseph Beckenbach <jrb3@best.com> says some releases of gcc + # support --undefined. This deserves some investigation. FIXME + archive_cmds='$CC -nostart $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + else + ld_shlibs=no + fi + ;; + + cygwin* | mingw* | pw32* | cegcc*) + # _LT_TAGVAR(hardcode_libdir_flag_spec, ) is actually meaningless, + # as there is no search path for DLLs. + hardcode_libdir_flag_spec='-L$libdir' + export_dynamic_flag_spec='${wl}--export-all-symbols' + allow_undefined_flag=unsupported + always_export_symbols=no + enable_shared_with_static_runtimes=yes + export_symbols_cmds='$NM $libobjs $convenience | $global_symbol_pipe | $SED -e '\''/^[BCDGRS][ ]/s/.*[ ]\([^ ]*\)/\1 DATA/;s/^.*[ ]__nm__\([^ ]*\)[ ][^ ]*/\1 DATA/;/^I[ ]/d;/^[AITW][ ]/s/.* //'\'' | sort | uniq > $export_symbols' + exclude_expsyms='[_]+GLOBAL_OFFSET_TABLE_|[_]+GLOBAL__[FID]_.*|[_]+head_[A-Za-z0-9_]+_dll|[A-Za-z0-9_]+_dll_iname' + + if $LD --help 2>&1 | $GREP 'auto-import' > /dev/null; then + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags -o $output_objdir/$soname ${wl}--enable-auto-image-base -Xlinker --out-implib -Xlinker $lib' + # If the export-symbols file already is a .def file (1st line + # is EXPORTS), use it as is; otherwise, prepend... + archive_expsym_cmds='if test "x`$SED 1q $export_symbols`" = xEXPORTS; then + cp $export_symbols $output_objdir/$soname.def; + else + echo EXPORTS > $output_objdir/$soname.def; + cat $export_symbols >> $output_objdir/$soname.def; + fi~ + $CC -shared $output_objdir/$soname.def $libobjs $deplibs $compiler_flags -o $output_objdir/$soname ${wl}--enable-auto-image-base -Xlinker --out-implib -Xlinker $lib' + else + ld_shlibs=no + fi + ;; + + haiku*) + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + link_all_deplibs=yes + ;; + + interix[3-9]*) + hardcode_direct=no + hardcode_shlibpath_var=no + hardcode_libdir_flag_spec='${wl}-rpath,$libdir' + export_dynamic_flag_spec='${wl}-E' + # Hack: On Interix 3.x, we cannot compile PIC because of a broken gcc. + # Instead, shared libraries are loaded at an image base (0x10000000 by + # default) and relocated if they conflict, which is a slow very memory + # consuming and fragmenting process. To avoid this, we pick a random, + # 256 KiB-aligned image base between 0x50000000 and 0x6FFC0000 at link + # time. Moving up from 0x10000000 also allows more sbrk(2) space. + archive_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-h,$soname ${wl}--image-base,`expr ${RANDOM-$$} % 4096 / 2 \* 262144 + 1342177280` -o $lib' + archive_expsym_cmds='sed "s,^,_," $export_symbols >$output_objdir/$soname.expsym~$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-h,$soname ${wl}--retain-symbols-file,$output_objdir/$soname.expsym ${wl}--image-base,`expr ${RANDOM-$$} % 4096 / 2 \* 262144 + 1342177280` -o $lib' + ;; + + gnu* | linux* | tpf* | k*bsd*-gnu | kopensolaris*-gnu) + tmp_diet=no + if test "$host_os" = linux-dietlibc; then + case $cc_basename in + diet\ *) tmp_diet=yes;; # linux-dietlibc with static linking (!diet-dyn) + esac + fi + if $LD --help 2>&1 | $EGREP ': supported targets:.* elf' > /dev/null \ + && test "$tmp_diet" = no + then + tmp_addflag=' $pic_flag' + tmp_sharedflag='-shared' + case $cc_basename,$host_cpu in + pgcc*) # Portland Group C compiler + whole_archive_flag_spec='${wl}--whole-archive`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` ${wl}--no-whole-archive' + tmp_addflag=' $pic_flag' + ;; + pgf77* | pgf90* | pgf95* | pgfortran*) + # Portland Group f77 and f90 compilers + whole_archive_flag_spec='${wl}--whole-archive`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` ${wl}--no-whole-archive' + tmp_addflag=' $pic_flag -Mnomain' ;; + ecc*,ia64* | icc*,ia64*) # Intel C compiler on ia64 + tmp_addflag=' -i_dynamic' ;; + efc*,ia64* | ifort*,ia64*) # Intel Fortran compiler on ia64 + tmp_addflag=' -i_dynamic -nofor_main' ;; + ifc* | ifort*) # Intel Fortran compiler + tmp_addflag=' -nofor_main' ;; + lf95*) # Lahey Fortran 8.1 + whole_archive_flag_spec= + tmp_sharedflag='--shared' ;; + xl[cC]* | bgxl[cC]* | mpixl[cC]*) # IBM XL C 8.0 on PPC (deal with xlf below) + tmp_sharedflag='-qmkshrobj' + tmp_addflag= ;; + nvcc*) # Cuda Compiler Driver 2.2 + whole_archive_flag_spec='${wl}--whole-archive`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` ${wl}--no-whole-archive' + compiler_needs_object=yes + ;; + esac + case `$CC -V 2>&1 | sed 5q` in + *Sun\ C*) # Sun C 5.9 + whole_archive_flag_spec='${wl}--whole-archive`new_convenience=; for conv in $convenience\"\"; do test -z \"$conv\" || new_convenience=\"$new_convenience,$conv\"; done; func_echo_all \"$new_convenience\"` ${wl}--no-whole-archive' + compiler_needs_object=yes + tmp_sharedflag='-G' ;; + *Sun\ F*) # Sun Fortran 8.3 + tmp_sharedflag='-G' ;; + esac + archive_cmds='$CC '"$tmp_sharedflag""$tmp_addflag"' $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + + if test "x$supports_anon_versioning" = xyes; then + archive_expsym_cmds='echo "{ global:" > $output_objdir/$libname.ver~ + cat $export_symbols | sed -e "s/\(.*\)/\1;/" >> $output_objdir/$libname.ver~ + echo "local: *; };" >> $output_objdir/$libname.ver~ + $CC '"$tmp_sharedflag""$tmp_addflag"' $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname ${wl}-version-script ${wl}$output_objdir/$libname.ver -o $lib' + fi + + case $cc_basename in + xlf* | bgf* | bgxlf* | mpixlf*) + # IBM XL Fortran 10.1 on PPC cannot create shared libs itself + whole_archive_flag_spec='--whole-archive$convenience --no-whole-archive' + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + archive_cmds='$LD -shared $libobjs $deplibs $linker_flags -soname $soname -o $lib' + if test "x$supports_anon_versioning" = xyes; then + archive_expsym_cmds='echo "{ global:" > $output_objdir/$libname.ver~ + cat $export_symbols | sed -e "s/\(.*\)/\1;/" >> $output_objdir/$libname.ver~ + echo "local: *; };" >> $output_objdir/$libname.ver~ + $LD -shared $libobjs $deplibs $linker_flags -soname $soname -version-script $output_objdir/$libname.ver -o $lib' + fi + ;; + esac + else + ld_shlibs=no + fi + ;; + + netbsd* | netbsdelf*-gnu) + if echo __ELF__ | $CC -E - | $GREP __ELF__ >/dev/null; then + archive_cmds='$LD -Bshareable $libobjs $deplibs $linker_flags -o $lib' + wlarc= + else + archive_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + archive_expsym_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname ${wl}-retain-symbols-file $wl$export_symbols -o $lib' + fi + ;; + + solaris*) + if $LD -v 2>&1 | $GREP 'BFD 2\.8' > /dev/null; then + ld_shlibs=no + cat <<_LT_EOF 1>&2 + +*** Warning: The releases 2.8.* of the GNU linker cannot reliably +*** create shared libraries on Solaris systems. Therefore, libtool +*** is disabling shared libraries support. We urge you to upgrade GNU +*** binutils to release 2.9.1 or newer. Another option is to modify +*** your PATH or compiler configuration so that the native linker is +*** used, and then restart. + +_LT_EOF + elif $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then + archive_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + archive_expsym_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname ${wl}-retain-symbols-file $wl$export_symbols -o $lib' + else + ld_shlibs=no + fi + ;; + + sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX*) + case `$LD -v 2>&1` in + *\ [01].* | *\ 2.[0-9].* | *\ 2.1[0-5].*) + ld_shlibs=no + cat <<_LT_EOF 1>&2 + +*** Warning: Releases of the GNU linker prior to 2.16.91.0.3 can not +*** reliably create shared libraries on SCO systems. Therefore, libtool +*** is disabling shared libraries support. We urge you to upgrade GNU +*** binutils to release 2.16.91.0.3 or newer. Another option is to modify +*** your PATH or compiler configuration so that the native linker is +*** used, and then restart. + +_LT_EOF + ;; + *) + # For security reasons, it is highly recommended that you always + # use absolute paths for naming shared libraries, and exclude the + # DT_RUNPATH tag from executables and libraries. But doing so + # requires that you compile everything twice, which is a pain. + if $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname ${wl}-retain-symbols-file $wl$export_symbols -o $lib' + else + ld_shlibs=no + fi + ;; + esac + ;; + + sunos4*) + archive_cmds='$LD -assert pure-text -Bshareable -o $lib $libobjs $deplibs $linker_flags' + wlarc= + hardcode_direct=yes + hardcode_shlibpath_var=no + ;; + + *) + if $LD --help 2>&1 | $GREP ': supported targets:.* elf' > /dev/null; then + archive_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + archive_expsym_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname ${wl}-retain-symbols-file $wl$export_symbols -o $lib' + else + ld_shlibs=no + fi + ;; + esac + + if test "$ld_shlibs" = no; then + runpath_var= + hardcode_libdir_flag_spec= + export_dynamic_flag_spec= + whole_archive_flag_spec= + fi + else + # PORTME fill in a description of your system's linker (not GNU ld) + case $host_os in + aix3*) + allow_undefined_flag=unsupported + always_export_symbols=yes + archive_expsym_cmds='$LD -o $output_objdir/$soname $libobjs $deplibs $linker_flags -bE:$export_symbols -T512 -H512 -bM:SRE~$AR $AR_FLAGS $lib $output_objdir/$soname' + # Note: this linker hardcodes the directories in LIBPATH if there + # are no directories specified by -L. + hardcode_minus_L=yes + if test "$GCC" = yes && test -z "$lt_prog_compiler_static"; then + # Neither direct hardcoding nor static linking is supported with a + # broken collect2. + hardcode_direct=unsupported + fi + ;; + + aix[4-9]*) + if test "$host_cpu" = ia64; then + # On IA64, the linker does run time linking by default, so we don't + # have to do anything special. + aix_use_runtimelinking=no + exp_sym_flag='-Bexport' + no_entry_flag="" + else + # If we're using GNU nm, then we don't want the "-C" option. + # -C means demangle to AIX nm, but means don't demangle with GNU nm + # Also, AIX nm treats weak defined symbols like other global + # defined symbols, whereas GNU nm marks them as "W". + if $NM -V 2>&1 | $GREP 'GNU' > /dev/null; then + export_symbols_cmds='$NM -Bpg $libobjs $convenience | awk '\''{ if (((\$ 2 == "T") || (\$ 2 == "D") || (\$ 2 == "B") || (\$ 2 == "W")) && (substr(\$ 3,1,1) != ".")) { print \$ 3 } }'\'' | sort -u > $export_symbols' + else + export_symbols_cmds='$NM -BCpg $libobjs $convenience | awk '\''{ if (((\$ 2 == "T") || (\$ 2 == "D") || (\$ 2 == "B")) && (substr(\$ 3,1,1) != ".")) { print \$ 3 } }'\'' | sort -u > $export_symbols' + fi + aix_use_runtimelinking=no + + # Test if we are trying to use run time linking or normal + # AIX style linking. If -brtl is somewhere in LDFLAGS, we + # need to do runtime linking. + case $host_os in aix4.[23]|aix4.[23].*|aix[5-9]*) + for ld_flag in $LDFLAGS; do + if (test $ld_flag = "-brtl" || test $ld_flag = "-Wl,-brtl"); then + aix_use_runtimelinking=yes + break + fi + done + ;; + esac + + exp_sym_flag='-bexport' + no_entry_flag='-bnoentry' + fi + + # When large executables or shared objects are built, AIX ld can + # have problems creating the table of contents. If linking a library + # or program results in "error TOC overflow" add -mminimal-toc to + # CXXFLAGS/CFLAGS for g++/gcc. In the cases where that is not + # enough to fix the problem, add -Wl,-bbigtoc to LDFLAGS. + + archive_cmds='' + hardcode_direct=yes + hardcode_direct_absolute=yes + hardcode_libdir_separator=':' + link_all_deplibs=yes + file_list_spec='${wl}-f,' + + if test "$GCC" = yes; then + case $host_os in aix4.[012]|aix4.[012].*) + # We only want to do this on AIX 4.2 and lower, the check + # below for broken collect2 doesn't work under 4.3+ + collect2name=`${CC} -print-prog-name=collect2` + if test -f "$collect2name" && + strings "$collect2name" | $GREP resolve_lib_name >/dev/null + then + # We have reworked collect2 + : + else + # We have old collect2 + hardcode_direct=unsupported + # It fails to find uninstalled libraries when the uninstalled + # path is not listed in the libpath. Setting hardcode_minus_L + # to unsupported forces relinking + hardcode_minus_L=yes + hardcode_libdir_flag_spec='-L$libdir' + hardcode_libdir_separator= + fi + ;; + esac + shared_flag='-shared' + if test "$aix_use_runtimelinking" = yes; then + shared_flag="$shared_flag "'${wl}-G' + fi + link_all_deplibs=no + else + # not using gcc + if test "$host_cpu" = ia64; then + # VisualAge C++, Version 5.5 for AIX 5L for IA-64, Beta 3 Release + # chokes on -Wl,-G. The following line is correct: + shared_flag='-G' + else + if test "$aix_use_runtimelinking" = yes; then + shared_flag='${wl}-G' + else + shared_flag='${wl}-bM:SRE' + fi + fi + fi + + export_dynamic_flag_spec='${wl}-bexpall' + # It seems that -bexpall does not export symbols beginning with + # underscore (_), so it is better to generate a list of symbols to export. + always_export_symbols=yes + if test "$aix_use_runtimelinking" = yes; then + # Warning - without using the other runtime loading flags (-brtl), + # -berok will link without error, but may produce a broken library. + allow_undefined_flag='-berok' + # Determine the default libpath from the value encoded in an + # empty executable. + if test "${lt_cv_aix_libpath+set}" = set; then + aix_libpath=$lt_cv_aix_libpath +else + if ${lt_cv_aix_libpath_+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "8923"; then : + + lt_aix_libpath_sed=' + /Import File Strings/,/^$/ { + /^0/ { + s/^0 *\([^ ]*\) *$/\1/ + p + } + }' + lt_cv_aix_libpath_=`dump -H conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` + # Check for a 64-bit object if we didn't find anything. + if test -z "$lt_cv_aix_libpath_"; then + lt_cv_aix_libpath_=`dump -HX64 conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` + fi +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + if test -z "$lt_cv_aix_libpath_"; then + lt_cv_aix_libpath_="/usr/lib:/lib" + fi + +fi + + aix_libpath=$lt_cv_aix_libpath_ +fi + + hardcode_libdir_flag_spec='${wl}-blibpath:$libdir:'"$aix_libpath" + archive_expsym_cmds='$CC -o $output_objdir/$soname $libobjs $deplibs '"\${wl}$no_entry_flag"' $compiler_flags `if test "x${allow_undefined_flag}" != "x"; then func_echo_all "${wl}${allow_undefined_flag}"; else :; fi` '"\${wl}$exp_sym_flag:\$export_symbols $shared_flag" + else + if test "$host_cpu" = ia64; then + hardcode_libdir_flag_spec='${wl}-R $libdir:/usr/lib:/lib' + allow_undefined_flag="-z nodefs" + archive_expsym_cmds="\$CC $shared_flag"' -o $output_objdir/$soname $libobjs $deplibs '"\${wl}$no_entry_flag"' $compiler_flags ${wl}${allow_undefined_flag} '"\${wl}$exp_sym_flag:\$export_symbols" + else + # Determine the default libpath from the value encoded in an + # empty executable. + if test "${lt_cv_aix_libpath+set}" = set; then + aix_libpath=$lt_cv_aix_libpath +else + if ${lt_cv_aix_libpath_+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "8976"; then : + + lt_aix_libpath_sed=' + /Import File Strings/,/^$/ { + /^0/ { + s/^0 *\([^ ]*\) *$/\1/ + p + } + }' + lt_cv_aix_libpath_=`dump -H conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` + # Check for a 64-bit object if we didn't find anything. + if test -z "$lt_cv_aix_libpath_"; then + lt_cv_aix_libpath_=`dump -HX64 conftest$ac_exeext 2>/dev/null | $SED -n -e "$lt_aix_libpath_sed"` + fi +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + if test -z "$lt_cv_aix_libpath_"; then + lt_cv_aix_libpath_="/usr/lib:/lib" + fi + +fi + + aix_libpath=$lt_cv_aix_libpath_ +fi + + hardcode_libdir_flag_spec='${wl}-blibpath:$libdir:'"$aix_libpath" + # Warning - without using the other run time loading flags, + # -berok will link without error, but may produce a broken library. + no_undefined_flag=' ${wl}-bernotok' + allow_undefined_flag=' ${wl}-berok' + if test "$with_gnu_ld" = yes; then + # We only use this code for GNU lds that support --whole-archive. + whole_archive_flag_spec='${wl}--whole-archive$convenience ${wl}--no-whole-archive' + else + # Exported symbols can be pulled into shared objects from archives + whole_archive_flag_spec='$convenience' + fi + archive_cmds_need_lc=yes + # This is similar to how AIX traditionally builds its shared libraries. + archive_expsym_cmds="\$CC $shared_flag"' -o $output_objdir/$soname $libobjs $deplibs ${wl}-bnoentry $compiler_flags ${wl}-bE:$export_symbols${allow_undefined_flag}~$AR $AR_FLAGS $output_objdir/$libname$release.a $output_objdir/$soname' + fi + fi + ;; + + amigaos*) + case $host_cpu in + powerpc) + # see comment about AmigaOS4 .so support + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags ${wl}-soname $wl$soname -o $lib' + archive_expsym_cmds='' + ;; + m68k) + archive_cmds='$RM $output_objdir/a2ixlibrary.data~$ECHO "#define NAME $libname" > $output_objdir/a2ixlibrary.data~$ECHO "#define LIBRARY_ID 1" >> $output_objdir/a2ixlibrary.data~$ECHO "#define VERSION $major" >> $output_objdir/a2ixlibrary.data~$ECHO "#define REVISION $revision" >> $output_objdir/a2ixlibrary.data~$AR $AR_FLAGS $lib $libobjs~$RANLIB $lib~(cd $output_objdir && a2ixlibrary -32)' + hardcode_libdir_flag_spec='-L$libdir' + hardcode_minus_L=yes + ;; + esac + ;; + + bsdi[45]*) + export_dynamic_flag_spec=-rdynamic + ;; + + cygwin* | mingw* | pw32* | cegcc*) + # When not using gcc, we currently assume that we are using + # Microsoft Visual C++. + # hardcode_libdir_flag_spec is actually meaningless, as there is + # no search path for DLLs. + case $cc_basename in + cl*) + # Native MSVC + hardcode_libdir_flag_spec=' ' + allow_undefined_flag=unsupported + always_export_symbols=yes + file_list_spec='@' + # Tell ltmain to make .lib files, not .a files. + libext=lib + # Tell ltmain to make .dll files, not .so files. + shrext_cmds=".dll" + # FIXME: Setting linknames here is a bad hack. + archive_cmds='$CC -o $output_objdir/$soname $libobjs $compiler_flags $deplibs -Wl,-dll~linknames=' + archive_expsym_cmds='if test "x`$SED 1q $export_symbols`" = xEXPORTS; then + sed -n -e 's/\\\\\\\(.*\\\\\\\)/-link\\\ -EXPORT:\\\\\\\1/' -e '1\\\!p' < $export_symbols > $output_objdir/$soname.exp; + else + sed -e 's/\\\\\\\(.*\\\\\\\)/-link\\\ -EXPORT:\\\\\\\1/' < $export_symbols > $output_objdir/$soname.exp; + fi~ + $CC -o $tool_output_objdir$soname $libobjs $compiler_flags $deplibs "@$tool_output_objdir$soname.exp" -Wl,-DLL,-IMPLIB:"$tool_output_objdir$libname.dll.lib"~ + linknames=' + # The linker will not automatically build a static lib if we build a DLL. + # _LT_TAGVAR(old_archive_from_new_cmds, )='true' + enable_shared_with_static_runtimes=yes + exclude_expsyms='_NULL_IMPORT_DESCRIPTOR|_IMPORT_DESCRIPTOR_.*' + export_symbols_cmds='$NM $libobjs $convenience | $global_symbol_pipe | $SED -e '\''/^[BCDGRS][ ]/s/.*[ ]\([^ ]*\)/\1,DATA/'\'' | $SED -e '\''/^[AITW][ ]/s/.*[ ]//'\'' | sort | uniq > $export_symbols' + # Don't use ranlib + old_postinstall_cmds='chmod 644 $oldlib' + postlink_cmds='lt_outputfile="@OUTPUT@"~ + lt_tool_outputfile="@TOOL_OUTPUT@"~ + case $lt_outputfile in + *.exe|*.EXE) ;; + *) + lt_outputfile="$lt_outputfile.exe" + lt_tool_outputfile="$lt_tool_outputfile.exe" + ;; + esac~ + if test "$MANIFEST_TOOL" != ":" && test -f "$lt_outputfile.manifest"; then + $MANIFEST_TOOL -manifest "$lt_tool_outputfile.manifest" -outputresource:"$lt_tool_outputfile" || exit 1; + $RM "$lt_outputfile.manifest"; + fi' + ;; + *) + # Assume MSVC wrapper + hardcode_libdir_flag_spec=' ' + allow_undefined_flag=unsupported + # Tell ltmain to make .lib files, not .a files. + libext=lib + # Tell ltmain to make .dll files, not .so files. + shrext_cmds=".dll" + # FIXME: Setting linknames here is a bad hack. + archive_cmds='$CC -o $lib $libobjs $compiler_flags `func_echo_all "$deplibs" | $SED '\''s/ -lc$//'\''` -link -dll~linknames=' + # The linker will automatically build a .lib file if we build a DLL. + old_archive_from_new_cmds='true' + # FIXME: Should let the user specify the lib program. + old_archive_cmds='lib -OUT:$oldlib$oldobjs$old_deplibs' + enable_shared_with_static_runtimes=yes + ;; + esac + ;; + + darwin* | rhapsody*) + + + archive_cmds_need_lc=no + hardcode_direct=no + hardcode_automatic=yes + hardcode_shlibpath_var=unsupported + if test "$lt_cv_ld_force_load" = "yes"; then + whole_archive_flag_spec='`for conv in $convenience\"\"; do test -n \"$conv\" && new_convenience=\"$new_convenience ${wl}-force_load,$conv\"; done; func_echo_all \"$new_convenience\"`' + + else + whole_archive_flag_spec='' + fi + link_all_deplibs=yes + allow_undefined_flag="$_lt_dar_allow_undefined" + case $cc_basename in + ifort*) _lt_dar_can_shared=yes ;; + *) _lt_dar_can_shared=$GCC ;; + esac + if test "$_lt_dar_can_shared" = "yes"; then + output_verbose_link_cmd=func_echo_all + archive_cmds="\$CC -dynamiclib \$allow_undefined_flag -o \$lib \$libobjs \$deplibs \$compiler_flags -install_name \$rpath/\$soname \$verstring $_lt_dar_single_mod${_lt_dsymutil}" + module_cmds="\$CC \$allow_undefined_flag -o \$lib -bundle \$libobjs \$deplibs \$compiler_flags${_lt_dsymutil}" + archive_expsym_cmds="sed 's,^,_,' < \$export_symbols > \$output_objdir/\${libname}-symbols.expsym~\$CC -dynamiclib \$allow_undefined_flag -o \$lib \$libobjs \$deplibs \$compiler_flags -install_name \$rpath/\$soname \$verstring ${_lt_dar_single_mod}${_lt_dar_export_syms}${_lt_dsymutil}" + module_expsym_cmds="sed -e 's,^,_,' < \$export_symbols > \$output_objdir/\${libname}-symbols.expsym~\$CC \$allow_undefined_flag -o \$lib -bundle \$libobjs \$deplibs \$compiler_flags${_lt_dar_export_syms}${_lt_dsymutil}" + + else + ld_shlibs=no + fi + + ;; + + dgux*) + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_libdir_flag_spec='-L$libdir' + hardcode_shlibpath_var=no + ;; + + # FreeBSD 2.2.[012] allows us to include c++rt0.o to get C++ constructor + # support. Future versions do this automatically, but an explicit c++rt0.o + # does not break anything, and helps significantly (at the cost of a little + # extra space). + freebsd2.2*) + archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags /usr/lib/c++rt0.o' + hardcode_libdir_flag_spec='-R$libdir' + hardcode_direct=yes + hardcode_shlibpath_var=no + ;; + + # Unfortunately, older versions of FreeBSD 2 do not have this feature. + freebsd2.*) + archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' + hardcode_direct=yes + hardcode_minus_L=yes + hardcode_shlibpath_var=no + ;; + + # FreeBSD 3 and greater uses gcc -shared to do shared libraries. + freebsd* | dragonfly*) + archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' + hardcode_libdir_flag_spec='-R$libdir' + hardcode_direct=yes + hardcode_shlibpath_var=no + ;; + + hpux9*) + if test "$GCC" = yes; then + archive_cmds='$RM $output_objdir/$soname~$CC -shared $pic_flag ${wl}+b ${wl}$install_libdir -o $output_objdir/$soname $libobjs $deplibs $compiler_flags~test $output_objdir/$soname = $lib || mv $output_objdir/$soname $lib' + else + archive_cmds='$RM $output_objdir/$soname~$LD -b +b $install_libdir -o $output_objdir/$soname $libobjs $deplibs $linker_flags~test $output_objdir/$soname = $lib || mv $output_objdir/$soname $lib' + fi + hardcode_libdir_flag_spec='${wl}+b ${wl}$libdir' + hardcode_libdir_separator=: + hardcode_direct=yes + + # hardcode_minus_L: Not really in the search PATH, + # but as the default location of the library. + hardcode_minus_L=yes + export_dynamic_flag_spec='${wl}-E' + ;; + + hpux10*) + if test "$GCC" = yes && test "$with_gnu_ld" = no; then + archive_cmds='$CC -shared $pic_flag ${wl}+h ${wl}$soname ${wl}+b ${wl}$install_libdir -o $lib $libobjs $deplibs $compiler_flags' + else + archive_cmds='$LD -b +h $soname +b $install_libdir -o $lib $libobjs $deplibs $linker_flags' + fi + if test "$with_gnu_ld" = no; then + hardcode_libdir_flag_spec='${wl}+b ${wl}$libdir' + hardcode_libdir_separator=: + hardcode_direct=yes + hardcode_direct_absolute=yes + export_dynamic_flag_spec='${wl}-E' + # hardcode_minus_L: Not really in the search PATH, + # but as the default location of the library. + hardcode_minus_L=yes + fi + ;; + + hpux11*) + if test "$GCC" = yes && test "$with_gnu_ld" = no; then + case $host_cpu in + hppa*64*) + archive_cmds='$CC -shared ${wl}+h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags' + ;; + ia64*) + archive_cmds='$CC -shared $pic_flag ${wl}+h ${wl}$soname ${wl}+nodefaultrpath -o $lib $libobjs $deplibs $compiler_flags' + ;; + *) + archive_cmds='$CC -shared $pic_flag ${wl}+h ${wl}$soname ${wl}+b ${wl}$install_libdir -o $lib $libobjs $deplibs $compiler_flags' + ;; + esac + else + case $host_cpu in + hppa*64*) + archive_cmds='$CC -b ${wl}+h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags' + ;; + ia64*) + archive_cmds='$CC -b ${wl}+h ${wl}$soname ${wl}+nodefaultrpath -o $lib $libobjs $deplibs $compiler_flags' + ;; + *) + + # Older versions of the 11.00 compiler do not understand -b yet + # (HP92453-01 A.11.01.20 doesn't, HP92453-01 B.11.X.35175-35176.GP does) + { $as_echo "$as_me:${as_lineno-9229}: checking if $CC understands -b" >&5 +$as_echo_n "checking if $CC understands -b... " >&6; } +if ${lt_cv_prog_compiler__b+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_prog_compiler__b=no + save_LDFLAGS="$LDFLAGS" + LDFLAGS="$LDFLAGS -b" + echo "$lt_simple_link_test_code" > conftest.$ac_ext + if (eval $ac_link 2>conftest.err) && test -s conftest$ac_exeext; then + # The linker can only warn and ignore the option if not recognized + # So say no if there are warnings + if test -s conftest.err; then + # Append any errors to the config.log. + cat conftest.err 1>&5 + $ECHO "$_lt_linker_boilerplate" | $SED '/^$/d' > conftest.exp + $SED '/^$/d; /^ *+/d' conftest.err >conftest.er2 + if diff conftest.exp conftest.er2 >/dev/null; then + lt_cv_prog_compiler__b=yes + fi + else + lt_cv_prog_compiler__b=yes + fi + fi + $RM -r conftest* + LDFLAGS="$save_LDFLAGS" + +fi +{ $as_echo "$as_me:${as_lineno-9257}: result: $lt_cv_prog_compiler__b" >&5 +$as_echo "$lt_cv_prog_compiler__b" >&6; } + +if test x"$lt_cv_prog_compiler__b" = xyes; then + archive_cmds='$CC -b ${wl}+h ${wl}$soname ${wl}+b ${wl}$install_libdir -o $lib $libobjs $deplibs $compiler_flags' +else + archive_cmds='$LD -b +h $soname +b $install_libdir -o $lib $libobjs $deplibs $linker_flags' +fi + + ;; + esac + fi + if test "$with_gnu_ld" = no; then + hardcode_libdir_flag_spec='${wl}+b ${wl}$libdir' + hardcode_libdir_separator=: + + case $host_cpu in + hppa*64*|ia64*) + hardcode_direct=no + hardcode_shlibpath_var=no + ;; + *) + hardcode_direct=yes + hardcode_direct_absolute=yes + export_dynamic_flag_spec='${wl}-E' + + # hardcode_minus_L: Not really in the search PATH, + # but as the default location of the library. + hardcode_minus_L=yes + ;; + esac + fi + ;; + + irix5* | irix6* | nonstopux*) + if test "$GCC" = yes; then + archive_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-soname ${wl}$soname `test -n "$verstring" && func_echo_all "${wl}-set_version ${wl}$verstring"` ${wl}-update_registry ${wl}${output_objdir}/so_locations -o $lib' + # Try to use the -exported_symbol ld option, if it does not + # work, assume that -exports_file does not work either and + # implicitly export all symbols. + # This should be the same for all languages, so no per-tag cache variable. + { $as_echo "$as_me:${as_lineno-9298}: checking whether the $host_os linker accepts -exported_symbol" >&5 +$as_echo_n "checking whether the $host_os linker accepts -exported_symbol... " >&6; } +if ${lt_cv_irix_exported_symbol+:} false; then : + $as_echo_n "(cached) " >&6 +else + save_LDFLAGS="$LDFLAGS" + LDFLAGS="$LDFLAGS -shared ${wl}-exported_symbol ${wl}foo ${wl}-update_registry ${wl}/dev/null" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +int foo (void) { return 0; } +_ACEOF +if ac_fn_c_try_link "9309"; then : + lt_cv_irix_exported_symbol=yes +else + lt_cv_irix_exported_symbol=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + LDFLAGS="$save_LDFLAGS" +fi +{ $as_echo "$as_me:${as_lineno-9318}: result: $lt_cv_irix_exported_symbol" >&5 +$as_echo "$lt_cv_irix_exported_symbol" >&6; } + if test "$lt_cv_irix_exported_symbol" = yes; then + archive_expsym_cmds='$CC -shared $pic_flag $libobjs $deplibs $compiler_flags ${wl}-soname ${wl}$soname `test -n "$verstring" && func_echo_all "${wl}-set_version ${wl}$verstring"` ${wl}-update_registry ${wl}${output_objdir}/so_locations ${wl}-exports_file ${wl}$export_symbols -o $lib' + fi + else + archive_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry ${output_objdir}/so_locations -o $lib' + archive_expsym_cmds='$CC -shared $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry ${output_objdir}/so_locations -exports_file $export_symbols -o $lib' + fi + archive_cmds_need_lc='no' + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + hardcode_libdir_separator=: + inherit_rpath=yes + link_all_deplibs=yes + ;; + + netbsd* | netbsdelf*-gnu) + if echo __ELF__ | $CC -E - | $GREP __ELF__ >/dev/null; then + archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' # a.out + else + archive_cmds='$LD -shared -o $lib $libobjs $deplibs $linker_flags' # ELF + fi + hardcode_libdir_flag_spec='-R$libdir' + hardcode_direct=yes + hardcode_shlibpath_var=no + ;; + + newsos6) + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_direct=yes + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + hardcode_libdir_separator=: + hardcode_shlibpath_var=no + ;; + + *nto* | *qnx*) + ;; + + openbsd*) + if test -f /usr/libexec/ld.so; then + hardcode_direct=yes + hardcode_shlibpath_var=no + hardcode_direct_absolute=yes + if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then + archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags ${wl}-retain-symbols-file,$export_symbols' + hardcode_libdir_flag_spec='${wl}-rpath,$libdir' + export_dynamic_flag_spec='${wl}-E' + else + case $host_os in + openbsd[01].* | openbsd2.[0-7] | openbsd2.[0-7].*) + archive_cmds='$LD -Bshareable -o $lib $libobjs $deplibs $linker_flags' + hardcode_libdir_flag_spec='-R$libdir' + ;; + *) + archive_cmds='$CC -shared $pic_flag -o $lib $libobjs $deplibs $compiler_flags' + hardcode_libdir_flag_spec='${wl}-rpath,$libdir' + ;; + esac + fi + else + ld_shlibs=no + fi + ;; + + os2*) + hardcode_libdir_flag_spec='-L$libdir' + hardcode_minus_L=yes + allow_undefined_flag=unsupported + archive_cmds='$ECHO "LIBRARY $libname INITINSTANCE" > $output_objdir/$libname.def~$ECHO "DESCRIPTION \"$libname\"" >> $output_objdir/$libname.def~echo DATA >> $output_objdir/$libname.def~echo " SINGLE NONSHARED" >> $output_objdir/$libname.def~echo EXPORTS >> $output_objdir/$libname.def~emxexp $libobjs >> $output_objdir/$libname.def~$CC -Zdll -Zcrtdll -o $lib $libobjs $deplibs $compiler_flags $output_objdir/$libname.def' + old_archive_from_new_cmds='emximp -o $output_objdir/$libname.a $output_objdir/$libname.def' + ;; + + osf3*) + if test "$GCC" = yes; then + allow_undefined_flag=' ${wl}-expect_unresolved ${wl}\*' + archive_cmds='$CC -shared${allow_undefined_flag} $libobjs $deplibs $compiler_flags ${wl}-soname ${wl}$soname `test -n "$verstring" && func_echo_all "${wl}-set_version ${wl}$verstring"` ${wl}-update_registry ${wl}${output_objdir}/so_locations -o $lib' + else + allow_undefined_flag=' -expect_unresolved \*' + archive_cmds='$CC -shared${allow_undefined_flag} $libobjs $deplibs $compiler_flags -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry ${output_objdir}/so_locations -o $lib' + fi + archive_cmds_need_lc='no' + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + hardcode_libdir_separator=: + ;; + + osf4* | osf5*) # as osf3* with the addition of -msym flag + if test "$GCC" = yes; then + allow_undefined_flag=' ${wl}-expect_unresolved ${wl}\*' + archive_cmds='$CC -shared${allow_undefined_flag} $pic_flag $libobjs $deplibs $compiler_flags ${wl}-msym ${wl}-soname ${wl}$soname `test -n "$verstring" && func_echo_all "${wl}-set_version ${wl}$verstring"` ${wl}-update_registry ${wl}${output_objdir}/so_locations -o $lib' + hardcode_libdir_flag_spec='${wl}-rpath ${wl}$libdir' + else + allow_undefined_flag=' -expect_unresolved \*' + archive_cmds='$CC -shared${allow_undefined_flag} $libobjs $deplibs $compiler_flags -msym -soname $soname `test -n "$verstring" && func_echo_all "-set_version $verstring"` -update_registry ${output_objdir}/so_locations -o $lib' + archive_expsym_cmds='for i in `cat $export_symbols`; do printf "%s %s\\n" -exported_symbol "\$i" >> $lib.exp; done; printf "%s\\n" "-hidden">> $lib.exp~ + $CC -shared${allow_undefined_flag} ${wl}-input ${wl}$lib.exp $compiler_flags $libobjs $deplibs -soname $soname `test -n "$verstring" && $ECHO "-set_version $verstring"` -update_registry ${output_objdir}/so_locations -o $lib~$RM $lib.exp' + + # Both c and cxx compiler support -rpath directly + hardcode_libdir_flag_spec='-rpath $libdir' + fi + archive_cmds_need_lc='no' + hardcode_libdir_separator=: + ;; + + solaris*) + no_undefined_flag=' -z defs' + if test "$GCC" = yes; then + wlarc='${wl}' + archive_cmds='$CC -shared $pic_flag ${wl}-z ${wl}text ${wl}-h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ + $CC -shared $pic_flag ${wl}-z ${wl}text ${wl}-M ${wl}$lib.exp ${wl}-h ${wl}$soname -o $lib $libobjs $deplibs $compiler_flags~$RM $lib.exp' + else + case `$CC -V 2>&1` in + *"Compilers 5.0"*) + wlarc='' + archive_cmds='$LD -G${allow_undefined_flag} -h $soname -o $lib $libobjs $deplibs $linker_flags' + archive_expsym_cmds='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ + $LD -G${allow_undefined_flag} -M $lib.exp -h $soname -o $lib $libobjs $deplibs $linker_flags~$RM $lib.exp' + ;; + *) + wlarc='${wl}' + archive_cmds='$CC -G${allow_undefined_flag} -h $soname -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='echo "{ global:" > $lib.exp~cat $export_symbols | $SED -e "s/\(.*\)/\1;/" >> $lib.exp~echo "local: *; };" >> $lib.exp~ + $CC -G${allow_undefined_flag} -M $lib.exp -h $soname -o $lib $libobjs $deplibs $compiler_flags~$RM $lib.exp' + ;; + esac + fi + hardcode_libdir_flag_spec='-R$libdir' + hardcode_shlibpath_var=no + case $host_os in + solaris2.[0-5] | solaris2.[0-5].*) ;; + *) + # The compiler driver will combine and reorder linker options, + # but understands `-z linker_flag'. GCC discards it without `$wl', + # but is careful enough not to reorder. + # Supported since Solaris 2.6 (maybe 2.5.1?) + if test "$GCC" = yes; then + whole_archive_flag_spec='${wl}-z ${wl}allextract$convenience ${wl}-z ${wl}defaultextract' + else + whole_archive_flag_spec='-z allextract$convenience -z defaultextract' + fi + ;; + esac + link_all_deplibs=yes + ;; + + sunos4*) + if test "x$host_vendor" = xsequent; then + # Use $CC to link under sequent, because it throws in some extra .o + # files that make .init and .fini sections work. + archive_cmds='$CC -G ${wl}-h $soname -o $lib $libobjs $deplibs $compiler_flags' + else + archive_cmds='$LD -assert pure-text -Bstatic -o $lib $libobjs $deplibs $linker_flags' + fi + hardcode_libdir_flag_spec='-L$libdir' + hardcode_direct=yes + hardcode_minus_L=yes + hardcode_shlibpath_var=no + ;; + + sysv4) + case $host_vendor in + sni) + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_direct=yes # is this really true??? + ;; + siemens) + ## LD is ld it makes a PLAMLIB + ## CC just makes a GrossModule. + archive_cmds='$LD -G -o $lib $libobjs $deplibs $linker_flags' + reload_cmds='$CC -r -o $output$reload_objs' + hardcode_direct=no + ;; + motorola) + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_direct=no #Motorola manual says yes, but my tests say they lie + ;; + esac + runpath_var='LD_RUN_PATH' + hardcode_shlibpath_var=no + ;; + + sysv4.3*) + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_shlibpath_var=no + export_dynamic_flag_spec='-Bexport' + ;; + + sysv4*MP*) + if test -d /usr/nec; then + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_shlibpath_var=no + runpath_var=LD_RUN_PATH + hardcode_runpath_var=yes + ld_shlibs=yes + fi + ;; + + sysv4*uw2* | sysv5OpenUNIX* | sysv5UnixWare7.[01].[10]* | unixware7* | sco3.2v5.0.[024]*) + no_undefined_flag='${wl}-z,text' + archive_cmds_need_lc=no + hardcode_shlibpath_var=no + runpath_var='LD_RUN_PATH' + + if test "$GCC" = yes; then + archive_cmds='$CC -shared ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='$CC -shared ${wl}-Bexport:$export_symbols ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + else + archive_cmds='$CC -G ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='$CC -G ${wl}-Bexport:$export_symbols ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + fi + ;; + + sysv5* | sco3.2v5* | sco5v6*) + # Note: We can NOT use -z defs as we might desire, because we do not + # link with -lc, and that would cause any symbols used from libc to + # always be unresolved, which means just about no library would + # ever link correctly. If we're not using GNU ld we use -z text + # though, which does catch some bad symbols but isn't as heavy-handed + # as -z defs. + no_undefined_flag='${wl}-z,text' + allow_undefined_flag='${wl}-z,nodefs' + archive_cmds_need_lc=no + hardcode_shlibpath_var=no + hardcode_libdir_flag_spec='${wl}-R,$libdir' + hardcode_libdir_separator=':' + link_all_deplibs=yes + export_dynamic_flag_spec='${wl}-Bexport' + runpath_var='LD_RUN_PATH' + + if test "$GCC" = yes; then + archive_cmds='$CC -shared ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='$CC -shared ${wl}-Bexport:$export_symbols ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + else + archive_cmds='$CC -G ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + archive_expsym_cmds='$CC -G ${wl}-Bexport:$export_symbols ${wl}-h,$soname -o $lib $libobjs $deplibs $compiler_flags' + fi + ;; + + uts4*) + archive_cmds='$LD -G -h $soname -o $lib $libobjs $deplibs $linker_flags' + hardcode_libdir_flag_spec='-L$libdir' + hardcode_shlibpath_var=no + ;; + + *) + ld_shlibs=no + ;; + esac + + if test x$host_vendor = xsni; then + case $host in + sysv4 | sysv4.2uw2* | sysv4.3* | sysv5*) + export_dynamic_flag_spec='${wl}-Blargedynsym' + ;; + esac + fi + fi + +{ $as_echo "$as_me:${as_lineno-9577}: result: $ld_shlibs" >&5 +$as_echo "$ld_shlibs" >&6; } +test "$ld_shlibs" = no && can_build_shared=no + +with_gnu_ld=$with_gnu_ld + + + + + + + + + + + + + + + +# +# Do we need to explicitly link libc? +# +case "x$archive_cmds_need_lc" in +x|xyes) + # Assume -lc should be added + archive_cmds_need_lc=yes + + if test "$enable_shared" = yes && test "$GCC" = yes; then + case $archive_cmds in + *'~'*) + # FIXME: we may have to deal with multi-command sequences. + ;; + '$CC '*) + # Test whether the compiler implicitly links with -lc since on some + # systems, -lgcc has to come before -lc. If gcc already passes -lc + # to ld, don't add -lc before -lgcc. + { $as_echo "$as_me:${as_lineno-9614}: checking whether -lc should be explicitly linked in" >&5 +$as_echo_n "checking whether -lc should be explicitly linked in... " >&6; } +if ${lt_cv_archive_cmds_need_lc+:} false; then : + $as_echo_n "(cached) " >&6 +else + $RM conftest* + echo "$lt_simple_compile_test_code" > conftest.$ac_ext + + if { { eval echo "\"\$as_me\":${as_lineno-9622}: \"$ac_compile\""; } >&5 + (eval $ac_compile) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-9625}: \$? = $ac_status" >&5 + test $ac_status = 0; } 2>conftest.err; then + soname=conftest + lib=conftest + libobjs=conftest.$ac_objext + deplibs= + wl=$lt_prog_compiler_wl + pic_flag=$lt_prog_compiler_pic + compiler_flags=-v + linker_flags=-v + verstring= + output_objdir=. + libname=conftest + lt_save_allow_undefined_flag=$allow_undefined_flag + allow_undefined_flag= + if { { eval echo "\"\$as_me\":${as_lineno-9640}: \"$archive_cmds 2\>\&1 \| $GREP \" -lc \" \>/dev/null 2\>\&1\""; } >&5 + (eval $archive_cmds 2\>\&1 \| $GREP \" -lc \" \>/dev/null 2\>\&1) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-9643}: \$? = $ac_status" >&5 + test $ac_status = 0; } + then + lt_cv_archive_cmds_need_lc=no + else + lt_cv_archive_cmds_need_lc=yes + fi + allow_undefined_flag=$lt_save_allow_undefined_flag + else + cat conftest.err 1>&5 + fi + $RM conftest* + +fi +{ $as_echo "$as_me:${as_lineno-9657}: result: $lt_cv_archive_cmds_need_lc" >&5 +$as_echo "$lt_cv_archive_cmds_need_lc" >&6; } + archive_cmds_need_lc=$lt_cv_archive_cmds_need_lc + ;; + esac + fi + ;; +esac + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + { $as_echo "$as_me:${as_lineno-9817}: checking dynamic linker characteristics" >&5 +$as_echo_n "checking dynamic linker characteristics... " >&6; } + +if test "$GCC" = yes; then + case $host_os in + darwin*) lt_awk_arg="/^libraries:/,/LR/" ;; + *) lt_awk_arg="/^libraries:/" ;; + esac + case $host_os in + mingw* | cegcc*) lt_sed_strip_eq="s,=\([A-Za-z]:\),\1,g" ;; + *) lt_sed_strip_eq="s,=/,/,g" ;; + esac + lt_search_path_spec=`$CC -print-search-dirs | awk $lt_awk_arg | $SED -e "s/^libraries://" -e $lt_sed_strip_eq` + case $lt_search_path_spec in + *\;*) + # if the path contains ";" then we assume it to be the separator + # otherwise default to the standard path separator (i.e. ":") - it is + # assumed that no part of a normal pathname contains ";" but that should + # okay in the real world where ";" in dirpaths is itself problematic. + lt_search_path_spec=`$ECHO "$lt_search_path_spec" | $SED 's/;/ /g'` + ;; + *) + lt_search_path_spec=`$ECHO "$lt_search_path_spec" | $SED "s/$PATH_SEPARATOR/ /g"` + ;; + esac + # Ok, now we have the path, separated by spaces, we can step through it + # and add multilib dir if necessary. + lt_tmp_lt_search_path_spec= + lt_multi_os_dir=`$CC $CPPFLAGS $CFLAGS $LDFLAGS -print-multi-os-directory 2>/dev/null` + for lt_sys_path in $lt_search_path_spec; do + if test -d "$lt_sys_path/$lt_multi_os_dir"; then + lt_tmp_lt_search_path_spec="$lt_tmp_lt_search_path_spec $lt_sys_path/$lt_multi_os_dir" + else + test -d "$lt_sys_path" && \ + lt_tmp_lt_search_path_spec="$lt_tmp_lt_search_path_spec $lt_sys_path" + fi + done + lt_search_path_spec=`$ECHO "$lt_tmp_lt_search_path_spec" | awk ' +BEGIN {RS=" "; FS="/|\n";} { + lt_foo=""; + lt_count=0; + for (lt_i = NF; lt_i > 0; lt_i--) { + if ($lt_i != "" && $lt_i != ".") { + if ($lt_i == "..") { + lt_count++; + } else { + if (lt_count == 0) { + lt_foo="/" $lt_i lt_foo; + } else { + lt_count--; + } + } + } + } + if (lt_foo != "") { lt_freq[lt_foo]++; } + if (lt_freq[lt_foo] == 1) { print lt_foo; } +}'` + # AWK program above erroneously prepends '/' to C:/dos/paths + # for these hosts. + case $host_os in + mingw* | cegcc*) lt_search_path_spec=`$ECHO "$lt_search_path_spec" |\ + $SED 's,/\([A-Za-z]:\),\1,g'` ;; + esac + sys_lib_search_path_spec=`$ECHO "$lt_search_path_spec" | $lt_NL2SP` +else + sys_lib_search_path_spec="/lib /usr/lib /usr/local/lib" +fi +library_names_spec= +libname_spec='lib$name' +soname_spec= +shrext_cmds=".so" +postinstall_cmds= +postuninstall_cmds= +finish_cmds= +finish_eval= +shlibpath_var= +shlibpath_overrides_runpath=unknown +version_type=none +dynamic_linker="$host_os ld.so" +sys_lib_dlsearch_path_spec="/lib /usr/lib" +need_lib_prefix=unknown +hardcode_into_libs=no + +# when you set need_version to no, make sure it does not cause -set_version +# flags to be left without arguments +need_version=unknown + +case $host_os in +aix3*) + version_type=linux # correct to gnu/linux during the next big refactor + library_names_spec='${libname}${release}${shared_ext}$versuffix $libname.a' + shlibpath_var=LIBPATH + + # AIX 3 has no versioning support, so we append a major version to the name. + soname_spec='${libname}${release}${shared_ext}$major' + ;; + +aix[4-9]*) + version_type=linux # correct to gnu/linux during the next big refactor + need_lib_prefix=no + need_version=no + hardcode_into_libs=yes + if test "$host_cpu" = ia64; then + # AIX 5 supports IA64 + library_names_spec='${libname}${release}${shared_ext}$major ${libname}${release}${shared_ext}$versuffix $libname${shared_ext}' + shlibpath_var=LD_LIBRARY_PATH + else + # With GCC up to 2.95.x, collect2 would create an import file + # for dependence libraries. The import file would start with + # the line `#! .'. This would cause the generated library to + # depend on `.', always an invalid library. This was fixed in + # development snapshots of GCC prior to 3.0. + case $host_os in + aix4 | aix4.[01] | aix4.[01].*) + if { echo '#if __GNUC__ > 2 || (__GNUC__ == 2 && __GNUC_MINOR__ >= 97)' + echo ' yes ' + echo '#endif'; } | ${CC} -E - | $GREP yes > /dev/null; then + : + else + can_build_shared=no + fi + ;; + esac + # AIX (on Power*) has no versioning support, so currently we can not hardcode correct + # soname into executable. Probably we can add versioning support to + # collect2, so additional links can be useful in future. + if test "$aix_use_runtimelinking" = yes; then + # If using run time linking (on AIX 4.2 or later) use lib<name>.so + # instead of lib<name>.a to let people know that these are not + # typical AIX shared libraries. + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + else + # We preserve .a as extension for shared libraries through AIX4.2 + # and later when we are not doing run time linking. + library_names_spec='${libname}${release}.a $libname.a' + soname_spec='${libname}${release}${shared_ext}$major' + fi + shlibpath_var=LIBPATH + fi + ;; + +amigaos*) + case $host_cpu in + powerpc) + # Since July 2007 AmigaOS4 officially supports .so libraries. + # When compiling the executable, add -use-dynld -Lsobjs: to the compileline. + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + ;; + m68k) + library_names_spec='$libname.ixlibrary $libname.a' + # Create ${libname}_ixlibrary.a entries in /sys/libs. + finish_eval='for lib in `ls $libdir/*.ixlibrary 2>/dev/null`; do libname=`func_echo_all "$lib" | $SED '\''s%^.*/\([^/]*\)\.ixlibrary$%\1%'\''`; test $RM /sys/libs/${libname}_ixlibrary.a; $show "cd /sys/libs && $LN_S $lib ${libname}_ixlibrary.a"; cd /sys/libs && $LN_S $lib ${libname}_ixlibrary.a || exit 1; done' + ;; + esac + ;; + +beos*) + library_names_spec='${libname}${shared_ext}' + dynamic_linker="$host_os ld.so" + shlibpath_var=LIBRARY_PATH + ;; + +bsdi[45]*) + version_type=linux # correct to gnu/linux during the next big refactor + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + finish_cmds='PATH="\$PATH:/sbin" ldconfig $libdir' + shlibpath_var=LD_LIBRARY_PATH + sys_lib_search_path_spec="/shlib /usr/lib /usr/X11/lib /usr/contrib/lib /lib /usr/local/lib" + sys_lib_dlsearch_path_spec="/shlib /usr/lib /usr/local/lib" + # the default ld.so.conf also contains /usr/contrib/lib and + # /usr/X11R6/lib (/usr/X11 is a link to /usr/X11R6), but let us allow + # libtool to hard-code these into programs + ;; + +cygwin* | mingw* | pw32* | cegcc*) + version_type=windows + shrext_cmds=".dll" + need_version=no + need_lib_prefix=no + + case $GCC,$cc_basename in + yes,*) + # gcc + library_names_spec='$libname.dll.a' + # DLL is installed to $(libdir)/../bin by postinstall_cmds + postinstall_cmds='base_file=`basename \${file}`~ + dlpath=`$SHELL 2>&1 -c '\''. $dir/'\''\${base_file}'\''i; echo \$dlname'\''`~ + dldir=$destdir/`dirname \$dlpath`~ + test -d \$dldir || mkdir -p \$dldir~ + $install_prog $dir/$dlname \$dldir/$dlname~ + chmod a+x \$dldir/$dlname~ + if test -n '\''$stripme'\'' && test -n '\''$striplib'\''; then + eval '\''$striplib \$dldir/$dlname'\'' || exit \$?; + fi' + postuninstall_cmds='dldll=`$SHELL 2>&1 -c '\''. $file; echo \$dlname'\''`~ + dlpath=$dir/\$dldll~ + $RM \$dlpath' + shlibpath_overrides_runpath=yes + + case $host_os in + cygwin*) + # Cygwin DLLs use 'cyg' prefix rather than 'lib' + soname_spec='`echo ${libname} | sed -e 's/^lib/cyg/'``echo ${release} | $SED -e 's/[.]/-/g'`${versuffix}${shared_ext}' + + sys_lib_search_path_spec="$sys_lib_search_path_spec /usr/lib/w32api" + ;; + mingw* | cegcc*) + # MinGW DLLs use traditional 'lib' prefix + soname_spec='${libname}`echo ${release} | $SED -e 's/[.]/-/g'`${versuffix}${shared_ext}' + ;; + pw32*) + # pw32 DLLs use 'pw' prefix rather than 'lib' + library_names_spec='`echo ${libname} | sed -e 's/^lib/pw/'``echo ${release} | $SED -e 's/[.]/-/g'`${versuffix}${shared_ext}' + ;; + esac + dynamic_linker='Win32 ld.exe' + ;; + + *,cl*) + # Native MSVC + libname_spec='$name' + soname_spec='${libname}`echo ${release} | $SED -e 's/[.]/-/g'`${versuffix}${shared_ext}' + library_names_spec='${libname}.dll.lib' + + case $build_os in + mingw*) + sys_lib_search_path_spec= + lt_save_ifs=$IFS + IFS=';' + for lt_path in $LIB + do + IFS=$lt_save_ifs + # Let DOS variable expansion print the short 8.3 style file name. + lt_path=`cd "$lt_path" 2>/dev/null && cmd //C "for %i in (".") do @echo %~si"` + sys_lib_search_path_spec="$sys_lib_search_path_spec $lt_path" + done + IFS=$lt_save_ifs + # Convert to MSYS style. + sys_lib_search_path_spec=`$ECHO "$sys_lib_search_path_spec" | sed -e 's|\\\\|/|g' -e 's| \\([a-zA-Z]\\):| /\\1|g' -e 's|^ ||'` + ;; + cygwin*) + # Convert to unix form, then to dos form, then back to unix form + # but this time dos style (no spaces!) so that the unix form looks + # like /cygdrive/c/PROGRA~1:/cygdr... + sys_lib_search_path_spec=`cygpath --path --unix "$LIB"` + sys_lib_search_path_spec=`cygpath --path --dos "$sys_lib_search_path_spec" 2>/dev/null` + sys_lib_search_path_spec=`cygpath --path --unix "$sys_lib_search_path_spec" | $SED -e "s/$PATH_SEPARATOR/ /g"` + ;; + *) + sys_lib_search_path_spec="$LIB" + if $ECHO "$sys_lib_search_path_spec" | $GREP ';[c-zC-Z]:/' >/dev/null; then + # It is most probably a Windows format PATH. + sys_lib_search_path_spec=`$ECHO "$sys_lib_search_path_spec" | $SED -e 's/;/ /g'` + else + sys_lib_search_path_spec=`$ECHO "$sys_lib_search_path_spec" | $SED -e "s/$PATH_SEPARATOR/ /g"` + fi + # FIXME: find the short name or the path components, as spaces are + # common. (e.g. "Program Files" -> "PROGRA~1") + ;; + esac + + # DLL is installed to $(libdir)/../bin by postinstall_cmds + postinstall_cmds='base_file=`basename \${file}`~ + dlpath=`$SHELL 2>&1 -c '\''. $dir/'\''\${base_file}'\''i; echo \$dlname'\''`~ + dldir=$destdir/`dirname \$dlpath`~ + test -d \$dldir || mkdir -p \$dldir~ + $install_prog $dir/$dlname \$dldir/$dlname' + postuninstall_cmds='dldll=`$SHELL 2>&1 -c '\''. $file; echo \$dlname'\''`~ + dlpath=$dir/\$dldll~ + $RM \$dlpath' + shlibpath_overrides_runpath=yes + dynamic_linker='Win32 link.exe' + ;; + + *) + # Assume MSVC wrapper + library_names_spec='${libname}`echo ${release} | $SED -e 's/[.]/-/g'`${versuffix}${shared_ext} $libname.lib' + dynamic_linker='Win32 ld.exe' + ;; + esac + # FIXME: first we should search . and the directory the executable is in + shlibpath_var=PATH + ;; + +darwin* | rhapsody*) + dynamic_linker="$host_os dyld" + version_type=darwin + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${major}$shared_ext ${libname}$shared_ext' + soname_spec='${libname}${release}${major}$shared_ext' + shlibpath_overrides_runpath=yes + shlibpath_var=DYLD_LIBRARY_PATH + shrext_cmds='`test .$module = .yes && echo .so || echo .dylib`' + + sys_lib_search_path_spec="$sys_lib_search_path_spec /usr/local/lib" + sys_lib_dlsearch_path_spec='/usr/local/lib /lib /usr/lib' + ;; + +dgux*) + version_type=linux # correct to gnu/linux during the next big refactor + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname$shared_ext' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + ;; + +freebsd* | dragonfly*) + # DragonFly does not have aout. When/if they implement a new + # versioning mechanism, adjust this. + if test -x /usr/bin/objformat; then + objformat=`/usr/bin/objformat` + else + case $host_os in + freebsd[23].*) objformat=aout ;; + *) objformat=elf ;; + esac + fi + version_type=freebsd-$objformat + case $version_type in + freebsd-elf*) + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext} $libname${shared_ext}' + need_version=no + need_lib_prefix=no + ;; + freebsd-*) + library_names_spec='${libname}${release}${shared_ext}$versuffix $libname${shared_ext}$versuffix' + need_version=yes + ;; + esac + shlibpath_var=LD_LIBRARY_PATH + case $host_os in + freebsd2.*) + shlibpath_overrides_runpath=yes + ;; + freebsd3.[01]* | freebsdelf3.[01]*) + shlibpath_overrides_runpath=yes + hardcode_into_libs=yes + ;; + freebsd3.[2-9]* | freebsdelf3.[2-9]* | \ + freebsd4.[0-5] | freebsdelf4.[0-5] | freebsd4.1.1 | freebsdelf4.1.1) + shlibpath_overrides_runpath=no + hardcode_into_libs=yes + ;; + *) # from 4.6 on, and DragonFly + shlibpath_overrides_runpath=yes + hardcode_into_libs=yes + ;; + esac + ;; + +gnu*) + version_type=linux # correct to gnu/linux during the next big refactor + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}${major} ${libname}${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=no + hardcode_into_libs=yes + ;; + +haiku*) + version_type=linux # correct to gnu/linux during the next big refactor + need_lib_prefix=no + need_version=no + dynamic_linker="$host_os runtime_loader" + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}${major} ${libname}${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LIBRARY_PATH + shlibpath_overrides_runpath=yes + sys_lib_dlsearch_path_spec='/boot/home/config/lib /boot/common/lib /boot/system/lib' + hardcode_into_libs=yes + ;; + +hpux9* | hpux10* | hpux11*) + # Give a soname corresponding to the major version so that dld.sl refuses to + # link against other versions. + version_type=sunos + need_lib_prefix=no + need_version=no + case $host_cpu in + ia64*) + shrext_cmds='.so' + hardcode_into_libs=yes + dynamic_linker="$host_os dld.so" + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=yes # Unless +noenvvar is specified. + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + if test "X$HPUX_IA64_MODE" = X32; then + sys_lib_search_path_spec="/usr/lib/hpux32 /usr/local/lib/hpux32 /usr/local/lib" + else + sys_lib_search_path_spec="/usr/lib/hpux64 /usr/local/lib/hpux64" + fi + sys_lib_dlsearch_path_spec=$sys_lib_search_path_spec + ;; + hppa*64*) + shrext_cmds='.sl' + hardcode_into_libs=yes + dynamic_linker="$host_os dld.sl" + shlibpath_var=LD_LIBRARY_PATH # How should we handle SHLIB_PATH + shlibpath_overrides_runpath=yes # Unless +noenvvar is specified. + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + sys_lib_search_path_spec="/usr/lib/pa20_64 /usr/ccs/lib/pa20_64" + sys_lib_dlsearch_path_spec=$sys_lib_search_path_spec + ;; + *) + shrext_cmds='.sl' + dynamic_linker="$host_os dld.sl" + shlibpath_var=SHLIB_PATH + shlibpath_overrides_runpath=no # +s is required to enable SHLIB_PATH + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + ;; + esac + # HP-UX runs *really* slowly unless shared libraries are mode 555, ... + postinstall_cmds='chmod 555 $lib' + # or fails outright, so override atomically: + install_override_mode=555 + ;; + +interix[3-9]*) + version_type=linux # correct to gnu/linux during the next big refactor + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major ${libname}${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + dynamic_linker='Interix 3.x ld.so.1 (PE, like ELF)' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=no + hardcode_into_libs=yes + ;; + +irix5* | irix6* | nonstopux*) + case $host_os in + nonstopux*) version_type=nonstopux ;; + *) + if test "$lt_cv_prog_gnu_ld" = yes; then + version_type=linux # correct to gnu/linux during the next big refactor + else + version_type=irix + fi ;; + esac + need_lib_prefix=no + need_version=no + soname_spec='${libname}${release}${shared_ext}$major' + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major ${libname}${release}${shared_ext} $libname${shared_ext}' + case $host_os in + irix5* | nonstopux*) + libsuff= shlibsuff= + ;; + *) + case $LD in # libtool.m4 will add one of these switches to LD + *-32|*"-32 "|*-melf32bsmip|*"-melf32bsmip ") + libsuff= shlibsuff= libmagic=32-bit;; + *-n32|*"-n32 "|*-melf32bmipn32|*"-melf32bmipn32 ") + libsuff=32 shlibsuff=N32 libmagic=N32;; + *-64|*"-64 "|*-melf64bmip|*"-melf64bmip ") + libsuff=64 shlibsuff=64 libmagic=64-bit;; + *) libsuff= shlibsuff= libmagic=never-match;; + esac + ;; + esac + shlibpath_var=LD_LIBRARY${shlibsuff}_PATH + shlibpath_overrides_runpath=no + sys_lib_search_path_spec="/usr/lib${libsuff} /lib${libsuff} /usr/local/lib${libsuff}" + sys_lib_dlsearch_path_spec="/usr/lib${libsuff} /lib${libsuff}" + hardcode_into_libs=yes + ;; + +# No shared lib support for Linux oldld, aout, or coff. +linux*oldld* | linux*aout* | linux*coff*) + dynamic_linker=no + ;; + +# This must be glibc/ELF. +linux* | k*bsd*-gnu | kopensolaris*-gnu) + version_type=linux # correct to gnu/linux during the next big refactor + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + finish_cmds='PATH="\$PATH:/sbin" ldconfig -n $libdir' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=no + + # Some binutils ld are patched to set DT_RUNPATH + if ${lt_cv_shlibpath_overrides_runpath+:} false; then : + $as_echo_n "(cached) " >&6 +else + lt_cv_shlibpath_overrides_runpath=no + save_LDFLAGS=$LDFLAGS + save_libdir=$libdir + eval "libdir=/foo; wl=\"$lt_prog_compiler_wl\"; \ + LDFLAGS=\"\$LDFLAGS $hardcode_libdir_flag_spec\"" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "10328"; then : + if ($OBJDUMP -p conftest$ac_exeext) 2>/dev/null | grep "RUNPATH.*$libdir" >/dev/null; then : + lt_cv_shlibpath_overrides_runpath=yes +fi +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + LDFLAGS=$save_LDFLAGS + libdir=$save_libdir + +fi + + shlibpath_overrides_runpath=$lt_cv_shlibpath_overrides_runpath + + # This implies no fast_install, which is unacceptable. + # Some rework will be needed to allow for fast_install + # before this can be enabled. + hardcode_into_libs=yes + + # Append ld.so.conf contents to the search path + if test -f /etc/ld.so.conf; then + lt_ld_extra=`awk '/^include / { system(sprintf("cd /etc; cat %s 2>/dev/null", \$2)); skip = 1; } { if (!skip) print \$0; skip = 0; }' < /etc/ld.so.conf | $SED -e 's/#.*//;/^[ ]*hwcap[ ]/d;s/[:, ]/ /g;s/=[^=]*$//;s/=[^= ]* / /g;s/"//g;/^$/d' | tr '\n' ' '` + sys_lib_dlsearch_path_spec="/lib /usr/lib $lt_ld_extra" + fi + + # We used to test for /lib/ld.so.1 and disable shared libraries on + # powerpc, because MkLinux only supported shared libraries with the + # GNU dynamic linker. Since this was broken with cross compilers, + # most powerpc-linux boxes support dynamic linking these days and + # people can always --disable-shared, the test was removed, and we + # assume the GNU/Linux dynamic linker is in use. + dynamic_linker='GNU/Linux ld.so' + ;; + +netbsdelf*-gnu) + version_type=linux + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major ${libname}${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=no + hardcode_into_libs=yes + dynamic_linker='NetBSD ld.elf_so' + ;; + +netbsd*) + version_type=sunos + need_lib_prefix=no + need_version=no + if echo __ELF__ | $CC -E - | $GREP __ELF__ >/dev/null; then + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${shared_ext}$versuffix' + finish_cmds='PATH="\$PATH:/sbin" ldconfig -m $libdir' + dynamic_linker='NetBSD (a.out) ld.so' + else + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major ${libname}${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + dynamic_linker='NetBSD ld.elf_so' + fi + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=yes + hardcode_into_libs=yes + ;; + +newsos6) + version_type=linux # correct to gnu/linux during the next big refactor + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=yes + ;; + +*nto* | *qnx*) + version_type=qnx + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=no + hardcode_into_libs=yes + dynamic_linker='ldqnx.so' + ;; + +openbsd*) + version_type=sunos + sys_lib_dlsearch_path_spec="/usr/lib" + need_lib_prefix=no + # Some older versions of OpenBSD (3.3 at least) *do* need versioned libs. + case $host_os in + openbsd3.3 | openbsd3.3.*) need_version=yes ;; + *) need_version=no ;; + esac + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${shared_ext}$versuffix' + finish_cmds='PATH="\$PATH:/sbin" ldconfig -m $libdir' + shlibpath_var=LD_LIBRARY_PATH + if test -z "`echo __ELF__ | $CC -E - | $GREP __ELF__`" || test "$host_os-$host_cpu" = "openbsd2.8-powerpc"; then + case $host_os in + openbsd2.[89] | openbsd2.[89].*) + shlibpath_overrides_runpath=no + ;; + *) + shlibpath_overrides_runpath=yes + ;; + esac + else + shlibpath_overrides_runpath=yes + fi + ;; + +os2*) + libname_spec='$name' + shrext_cmds=".dll" + need_lib_prefix=no + library_names_spec='$libname${shared_ext} $libname.a' + dynamic_linker='OS/2 ld.exe' + shlibpath_var=LIBPATH + ;; + +osf3* | osf4* | osf5*) + version_type=osf + need_lib_prefix=no + need_version=no + soname_spec='${libname}${release}${shared_ext}$major' + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + shlibpath_var=LD_LIBRARY_PATH + sys_lib_search_path_spec="/usr/shlib /usr/ccs/lib /usr/lib/cmplrs/cc /usr/lib /usr/local/lib /var/shlib" + sys_lib_dlsearch_path_spec="$sys_lib_search_path_spec" + ;; + +rdos*) + dynamic_linker=no + ;; + +solaris*) + version_type=linux # correct to gnu/linux during the next big refactor + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=yes + hardcode_into_libs=yes + # ldd complains unless libraries are executable + postinstall_cmds='chmod +x $lib' + ;; + +sunos4*) + version_type=sunos + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${shared_ext}$versuffix' + finish_cmds='PATH="\$PATH:/usr/etc" ldconfig $libdir' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=yes + if test "$with_gnu_ld" = yes; then + need_lib_prefix=no + fi + need_version=yes + ;; + +sysv4 | sysv4.3*) + version_type=linux # correct to gnu/linux during the next big refactor + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + case $host_vendor in + sni) + shlibpath_overrides_runpath=no + need_lib_prefix=no + runpath_var=LD_RUN_PATH + ;; + siemens) + need_lib_prefix=no + ;; + motorola) + need_lib_prefix=no + need_version=no + shlibpath_overrides_runpath=no + sys_lib_search_path_spec='/lib /usr/lib /usr/ccs/lib' + ;; + esac + ;; + +sysv4*MP*) + if test -d /usr/nec ;then + version_type=linux # correct to gnu/linux during the next big refactor + library_names_spec='$libname${shared_ext}.$versuffix $libname${shared_ext}.$major $libname${shared_ext}' + soname_spec='$libname${shared_ext}.$major' + shlibpath_var=LD_LIBRARY_PATH + fi + ;; + +sysv5* | sco3.2v5* | sco5v6* | unixware* | OpenUNIX* | sysv4*uw2*) + version_type=freebsd-elf + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext} $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=yes + hardcode_into_libs=yes + if test "$with_gnu_ld" = yes; then + sys_lib_search_path_spec='/usr/local/lib /usr/gnu/lib /usr/ccs/lib /usr/lib /lib' + else + sys_lib_search_path_spec='/usr/ccs/lib /usr/lib' + case $host_os in + sco3.2v5*) + sys_lib_search_path_spec="$sys_lib_search_path_spec /lib" + ;; + esac + fi + sys_lib_dlsearch_path_spec='/usr/lib' + ;; + +tpf*) + # TPF is a cross-target only. Preferred cross-host = GNU/Linux. + version_type=linux # correct to gnu/linux during the next big refactor + need_lib_prefix=no + need_version=no + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + shlibpath_var=LD_LIBRARY_PATH + shlibpath_overrides_runpath=no + hardcode_into_libs=yes + ;; + +uts4*) + version_type=linux # correct to gnu/linux during the next big refactor + library_names_spec='${libname}${release}${shared_ext}$versuffix ${libname}${release}${shared_ext}$major $libname${shared_ext}' + soname_spec='${libname}${release}${shared_ext}$major' + shlibpath_var=LD_LIBRARY_PATH + ;; + +*) + dynamic_linker=no + ;; +esac +{ $as_echo "$as_me:${as_lineno-10562}: result: $dynamic_linker" >&5 +$as_echo "$dynamic_linker" >&6; } +test "$dynamic_linker" = no && can_build_shared=no + +variables_saved_for_relink="PATH $shlibpath_var $runpath_var" +if test "$GCC" = yes; then + variables_saved_for_relink="$variables_saved_for_relink GCC_EXEC_PREFIX COMPILER_PATH LIBRARY_PATH" +fi + +if test "${lt_cv_sys_lib_search_path_spec+set}" = set; then + sys_lib_search_path_spec="$lt_cv_sys_lib_search_path_spec" +fi +if test "${lt_cv_sys_lib_dlsearch_path_spec+set}" = set; then + sys_lib_dlsearch_path_spec="$lt_cv_sys_lib_dlsearch_path_spec" +fi + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + { $as_echo "$as_me:${as_lineno-10669}: checking how to hardcode library paths into programs" >&5 +$as_echo_n "checking how to hardcode library paths into programs... " >&6; } +hardcode_action= +if test -n "$hardcode_libdir_flag_spec" || + test -n "$runpath_var" || + test "X$hardcode_automatic" = "Xyes" ; then + + # We can hardcode non-existent directories. + if test "$hardcode_direct" != no && + # If the only mechanism to avoid hardcoding is shlibpath_var, we + # have to relink, otherwise we might link with an installed library + # when we should be linking with a yet-to-be-installed one + ## test "$_LT_TAGVAR(hardcode_shlibpath_var, )" != no && + test "$hardcode_minus_L" != no; then + # Linking always hardcodes the temporary library directory. + hardcode_action=relink + else + # We can link without hardcoding, and we can hardcode nonexisting dirs. + hardcode_action=immediate + fi +else + # We cannot hardcode anything, or else we can only hardcode existing + # directories. + hardcode_action=unsupported +fi +{ $as_echo "$as_me:${as_lineno-10694}: result: $hardcode_action" >&5 +$as_echo "$hardcode_action" >&6; } + +if test "$hardcode_action" = relink || + test "$inherit_rpath" = yes; then + # Fast installation is not supported + enable_fast_install=no +elif test "$shlibpath_overrides_runpath" = yes || + test "$enable_shared" = no; then + # Fast installation is not necessary + enable_fast_install=needless +fi + + + + + + + if test "x$enable_dlopen" != xyes; then + enable_dlopen=unknown + enable_dlopen_self=unknown + enable_dlopen_self_static=unknown +else + lt_cv_dlopen=no + lt_cv_dlopen_libs= + + case $host_os in + beos*) + lt_cv_dlopen="load_add_on" + lt_cv_dlopen_libs= + lt_cv_dlopen_self=yes + ;; + + mingw* | pw32* | cegcc*) + lt_cv_dlopen="LoadLibrary" + lt_cv_dlopen_libs= + ;; + + cygwin*) + lt_cv_dlopen="dlopen" + lt_cv_dlopen_libs= + ;; + + darwin*) + # if libdl is installed we need to link against it + { $as_echo "$as_me:${as_lineno-10739}: checking for dlopen in -ldl" >&5 +$as_echo_n "checking for dlopen in -ldl... " >&6; } +if ${ac_cv_lib_dl_dlopen+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-ldl $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char dlopen (); +int +main () +{ +return dlopen (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "10764"; then : + ac_cv_lib_dl_dlopen=yes +else + ac_cv_lib_dl_dlopen=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-10773}: result: $ac_cv_lib_dl_dlopen" >&5 +$as_echo "$ac_cv_lib_dl_dlopen" >&6; } +if test "x$ac_cv_lib_dl_dlopen" = xyes; then : + lt_cv_dlopen="dlopen" lt_cv_dlopen_libs="-ldl" +else + + lt_cv_dlopen="dyld" + lt_cv_dlopen_libs= + lt_cv_dlopen_self=yes + +fi + + ;; + + *) + ac_fn_c_check_func "10788" "shl_load" "ac_cv_func_shl_load" +if test "x$ac_cv_func_shl_load" = xyes; then : + lt_cv_dlopen="shl_load" +else + { $as_echo "$as_me:${as_lineno-10792}: checking for shl_load in -ldld" >&5 +$as_echo_n "checking for shl_load in -ldld... " >&6; } +if ${ac_cv_lib_dld_shl_load+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-ldld $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char shl_load (); +int +main () +{ +return shl_load (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "10817"; then : + ac_cv_lib_dld_shl_load=yes +else + ac_cv_lib_dld_shl_load=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-10826}: result: $ac_cv_lib_dld_shl_load" >&5 +$as_echo "$ac_cv_lib_dld_shl_load" >&6; } +if test "x$ac_cv_lib_dld_shl_load" = xyes; then : + lt_cv_dlopen="shl_load" lt_cv_dlopen_libs="-ldld" +else + ac_fn_c_check_func "10831" "dlopen" "ac_cv_func_dlopen" +if test "x$ac_cv_func_dlopen" = xyes; then : + lt_cv_dlopen="dlopen" +else + { $as_echo "$as_me:${as_lineno-10835}: checking for dlopen in -ldl" >&5 +$as_echo_n "checking for dlopen in -ldl... " >&6; } +if ${ac_cv_lib_dl_dlopen+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-ldl $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char dlopen (); +int +main () +{ +return dlopen (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "10860"; then : + ac_cv_lib_dl_dlopen=yes +else + ac_cv_lib_dl_dlopen=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-10869}: result: $ac_cv_lib_dl_dlopen" >&5 +$as_echo "$ac_cv_lib_dl_dlopen" >&6; } +if test "x$ac_cv_lib_dl_dlopen" = xyes; then : + lt_cv_dlopen="dlopen" lt_cv_dlopen_libs="-ldl" +else + { $as_echo "$as_me:${as_lineno-10874}: checking for dlopen in -lsvld" >&5 +$as_echo_n "checking for dlopen in -lsvld... " >&6; } +if ${ac_cv_lib_svld_dlopen+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lsvld $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char dlopen (); +int +main () +{ +return dlopen (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "10899"; then : + ac_cv_lib_svld_dlopen=yes +else + ac_cv_lib_svld_dlopen=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-10908}: result: $ac_cv_lib_svld_dlopen" >&5 +$as_echo "$ac_cv_lib_svld_dlopen" >&6; } +if test "x$ac_cv_lib_svld_dlopen" = xyes; then : + lt_cv_dlopen="dlopen" lt_cv_dlopen_libs="-lsvld" +else + { $as_echo "$as_me:${as_lineno-10913}: checking for dld_link in -ldld" >&5 +$as_echo_n "checking for dld_link in -ldld... " >&6; } +if ${ac_cv_lib_dld_dld_link+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-ldld $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char dld_link (); +int +main () +{ +return dld_link (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "10938"; then : + ac_cv_lib_dld_dld_link=yes +else + ac_cv_lib_dld_dld_link=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-10947}: result: $ac_cv_lib_dld_dld_link" >&5 +$as_echo "$ac_cv_lib_dld_dld_link" >&6; } +if test "x$ac_cv_lib_dld_dld_link" = xyes; then : + lt_cv_dlopen="dld_link" lt_cv_dlopen_libs="-ldld" +fi + + +fi + + +fi + + +fi + + +fi + + +fi + + ;; + esac + + if test "x$lt_cv_dlopen" != xno; then + enable_dlopen=yes + else + enable_dlopen=no + fi + + case $lt_cv_dlopen in + dlopen) + save_CPPFLAGS="$CPPFLAGS" + test "x$ac_cv_header_dlfcn_h" = xyes && CPPFLAGS="$CPPFLAGS -DHAVE_DLFCN_H" + + save_LDFLAGS="$LDFLAGS" + wl=$lt_prog_compiler_wl eval LDFLAGS=\"\$LDFLAGS $export_dynamic_flag_spec\" + + save_LIBS="$LIBS" + LIBS="$lt_cv_dlopen_libs $LIBS" + + { $as_echo "$as_me:${as_lineno-10988}: checking whether a program can dlopen itself" >&5 +$as_echo_n "checking whether a program can dlopen itself... " >&6; } +if ${lt_cv_dlopen_self+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + lt_cv_dlopen_self=cross +else + lt_dlunknown=0; lt_dlno_uscore=1; lt_dlneed_uscore=2 + lt_status=$lt_dlunknown + cat > conftest.$ac_ext <<_LT_EOF +#line 10999 "configure" +#include "confdefs.h" + +#if HAVE_DLFCN_H +#include <dlfcn.h> +#endif + +#include <stdio.h> + +#ifdef RTLD_GLOBAL +# define LT_DLGLOBAL RTLD_GLOBAL +#else +# ifdef DL_GLOBAL +# define LT_DLGLOBAL DL_GLOBAL +# else +# define LT_DLGLOBAL 0 +# endif +#endif + +/* We may have to define LT_DLLAZY_OR_NOW in the command line if we + find out it does not work in some platform. */ +#ifndef LT_DLLAZY_OR_NOW +# ifdef RTLD_LAZY +# define LT_DLLAZY_OR_NOW RTLD_LAZY +# else +# ifdef DL_LAZY +# define LT_DLLAZY_OR_NOW DL_LAZY +# else +# ifdef RTLD_NOW +# define LT_DLLAZY_OR_NOW RTLD_NOW +# else +# ifdef DL_NOW +# define LT_DLLAZY_OR_NOW DL_NOW +# else +# define LT_DLLAZY_OR_NOW 0 +# endif +# endif +# endif +# endif +#endif + +/* When -fvisbility=hidden is used, assume the code has been annotated + correspondingly for the symbols needed. */ +#if defined(__GNUC__) && (((__GNUC__ == 3) && (__GNUC_MINOR__ >= 3)) || (__GNUC__ > 3)) +int fnord () __attribute__((visibility("default"))); +#endif + +int fnord () { return 42; } +int main () +{ + void *self = dlopen (0, LT_DLGLOBAL|LT_DLLAZY_OR_NOW); + int status = $lt_dlunknown; + + if (self) + { + if (dlsym (self,"fnord")) status = $lt_dlno_uscore; + else + { + if (dlsym( self,"_fnord")) status = $lt_dlneed_uscore; + else puts (dlerror ()); + } + /* dlclose (self); */ + } + else + puts (dlerror ()); + + return status; +} +_LT_EOF + if { { eval echo "\"\$as_me\":${as_lineno-11068}: \"$ac_link\""; } >&5 + (eval $ac_link) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-11071}: \$? = $ac_status" >&5 + test $ac_status = 0; } && test -s conftest${ac_exeext} 2>/dev/null; then + (./conftest; exit; ) >&5 2>/dev/null + lt_status=$? + case x$lt_status in + x$lt_dlno_uscore) lt_cv_dlopen_self=yes ;; + x$lt_dlneed_uscore) lt_cv_dlopen_self=yes ;; + x$lt_dlunknown|x*) lt_cv_dlopen_self=no ;; + esac + else : + # compilation failed + lt_cv_dlopen_self=no + fi +fi +rm -fr conftest* + + +fi +{ $as_echo "$as_me:${as_lineno-11089}: result: $lt_cv_dlopen_self" >&5 +$as_echo "$lt_cv_dlopen_self" >&6; } + + if test "x$lt_cv_dlopen_self" = xyes; then + wl=$lt_prog_compiler_wl eval LDFLAGS=\"\$LDFLAGS $lt_prog_compiler_static\" + { $as_echo "$as_me:${as_lineno-11094}: checking whether a statically linked program can dlopen itself" >&5 +$as_echo_n "checking whether a statically linked program can dlopen itself... " >&6; } +if ${lt_cv_dlopen_self_static+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + lt_cv_dlopen_self_static=cross +else + lt_dlunknown=0; lt_dlno_uscore=1; lt_dlneed_uscore=2 + lt_status=$lt_dlunknown + cat > conftest.$ac_ext <<_LT_EOF +#line 11105 "configure" +#include "confdefs.h" + +#if HAVE_DLFCN_H +#include <dlfcn.h> +#endif + +#include <stdio.h> + +#ifdef RTLD_GLOBAL +# define LT_DLGLOBAL RTLD_GLOBAL +#else +# ifdef DL_GLOBAL +# define LT_DLGLOBAL DL_GLOBAL +# else +# define LT_DLGLOBAL 0 +# endif +#endif + +/* We may have to define LT_DLLAZY_OR_NOW in the command line if we + find out it does not work in some platform. */ +#ifndef LT_DLLAZY_OR_NOW +# ifdef RTLD_LAZY +# define LT_DLLAZY_OR_NOW RTLD_LAZY +# else +# ifdef DL_LAZY +# define LT_DLLAZY_OR_NOW DL_LAZY +# else +# ifdef RTLD_NOW +# define LT_DLLAZY_OR_NOW RTLD_NOW +# else +# ifdef DL_NOW +# define LT_DLLAZY_OR_NOW DL_NOW +# else +# define LT_DLLAZY_OR_NOW 0 +# endif +# endif +# endif +# endif +#endif + +/* When -fvisbility=hidden is used, assume the code has been annotated + correspondingly for the symbols needed. */ +#if defined(__GNUC__) && (((__GNUC__ == 3) && (__GNUC_MINOR__ >= 3)) || (__GNUC__ > 3)) +int fnord () __attribute__((visibility("default"))); +#endif + +int fnord () { return 42; } +int main () +{ + void *self = dlopen (0, LT_DLGLOBAL|LT_DLLAZY_OR_NOW); + int status = $lt_dlunknown; + + if (self) + { + if (dlsym (self,"fnord")) status = $lt_dlno_uscore; + else + { + if (dlsym( self,"_fnord")) status = $lt_dlneed_uscore; + else puts (dlerror ()); + } + /* dlclose (self); */ + } + else + puts (dlerror ()); + + return status; +} +_LT_EOF + if { { eval echo "\"\$as_me\":${as_lineno-11174}: \"$ac_link\""; } >&5 + (eval $ac_link) 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-11177}: \$? = $ac_status" >&5 + test $ac_status = 0; } && test -s conftest${ac_exeext} 2>/dev/null; then + (./conftest; exit; ) >&5 2>/dev/null + lt_status=$? + case x$lt_status in + x$lt_dlno_uscore) lt_cv_dlopen_self_static=yes ;; + x$lt_dlneed_uscore) lt_cv_dlopen_self_static=yes ;; + x$lt_dlunknown|x*) lt_cv_dlopen_self_static=no ;; + esac + else : + # compilation failed + lt_cv_dlopen_self_static=no + fi +fi +rm -fr conftest* + + +fi +{ $as_echo "$as_me:${as_lineno-11195}: result: $lt_cv_dlopen_self_static" >&5 +$as_echo "$lt_cv_dlopen_self_static" >&6; } + fi + + CPPFLAGS="$save_CPPFLAGS" + LDFLAGS="$save_LDFLAGS" + LIBS="$save_LIBS" + ;; + esac + + case $lt_cv_dlopen_self in + yes|no) enable_dlopen_self=$lt_cv_dlopen_self ;; + *) enable_dlopen_self=unknown ;; + esac + + case $lt_cv_dlopen_self_static in + yes|no) enable_dlopen_self_static=$lt_cv_dlopen_self_static ;; + *) enable_dlopen_self_static=unknown ;; + esac +fi + + + + + + + + + + + + + + + + + +striplib= +old_striplib= +{ $as_echo "$as_me:${as_lineno-11234}: checking whether stripping libraries is possible" >&5 +$as_echo_n "checking whether stripping libraries is possible... " >&6; } +if test -n "$STRIP" && $STRIP -V 2>&1 | $GREP "GNU strip" >/dev/null; then + test -z "$old_striplib" && old_striplib="$STRIP --strip-debug" + test -z "$striplib" && striplib="$STRIP --strip-unneeded" + { $as_echo "$as_me:${as_lineno-11239}: result: yes" >&5 +$as_echo "yes" >&6; } +else +# FIXME - insert some real tests, host_os isn't really good enough + case $host_os in + darwin*) + if test -n "$STRIP" ; then + striplib="$STRIP -x" + old_striplib="$STRIP -S" + { $as_echo "$as_me:${as_lineno-11248}: result: yes" >&5 +$as_echo "yes" >&6; } + else + { $as_echo "$as_me:${as_lineno-11251}: result: no" >&5 +$as_echo "no" >&6; } + fi + ;; + *) + { $as_echo "$as_me:${as_lineno-11256}: result: no" >&5 +$as_echo "no" >&6; } + ;; + esac +fi + + + + + + + + + + + + + # Report which library types will actually be built + { $as_echo "$as_me:${as_lineno-11274}: checking if libtool supports shared libraries" >&5 +$as_echo_n "checking if libtool supports shared libraries... " >&6; } + { $as_echo "$as_me:${as_lineno-11276}: result: $can_build_shared" >&5 +$as_echo "$can_build_shared" >&6; } + + { $as_echo "$as_me:${as_lineno-11279}: checking whether to build shared libraries" >&5 +$as_echo_n "checking whether to build shared libraries... " >&6; } + test "$can_build_shared" = "no" && enable_shared=no + + # On AIX, shared libraries and static libraries use the same namespace, and + # are all built from PIC. + case $host_os in + aix3*) + test "$enable_shared" = yes && enable_static=no + if test -n "$RANLIB"; then + archive_cmds="$archive_cmds~\$RANLIB \$lib" + postinstall_cmds='$RANLIB $lib' + fi + ;; + + aix[4-9]*) + if test "$host_cpu" != ia64 && test "$aix_use_runtimelinking" = no ; then + test "$enable_shared" = yes && enable_static=no + fi + ;; + esac + { $as_echo "$as_me:${as_lineno-11300}: result: $enable_shared" >&5 +$as_echo "$enable_shared" >&6; } + + { $as_echo "$as_me:${as_lineno-11303}: checking whether to build static libraries" >&5 +$as_echo_n "checking whether to build static libraries... " >&6; } + # Make sure either enable_shared or enable_static is yes. + test "$enable_shared" = yes || enable_static=yes + { $as_echo "$as_me:${as_lineno-11307}: result: $enable_static" >&5 +$as_echo "$enable_static" >&6; } + + + + +fi +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + +CC="$lt_save_CC" + + + + + + + + + + + + + + + + ac_config_commands="$ac_config_commands libtool" + + + + +# Only expand once: + + +#AC_CANONICAL_HOST + +CFLAGS= +default_fink_path=/sw +case $host_os in + darwin*) + { $as_echo "$as_me:${as_lineno-11350}: checking for a fink installation at $default_fink_path" >&5 +$as_echo_n "checking for a fink installation at $default_fink_path... " >&6; } + if test -d $default_fink_path; then + { $as_echo "$as_me:${as_lineno-11353}: result: found it!" >&5 +$as_echo "found it!" >&6; } + { $as_echo "$as_me:${as_lineno-11355}: Adding -I$default_fink_path/include to CPPFLAGS" >&5 +$as_echo "$as_me: Adding -I$default_fink_path/include to CPPFLAGS" >&6;} + CPPFLAGS="-I$default_fink_path/include $CPPFLAGS" + { $as_echo "$as_me:${as_lineno-11358}: Adding -L$default_fink_path/lib to LDFLAGS" >&5 +$as_echo "$as_me: Adding -L$default_fink_path/lib to LDFLAGS" >&6;} + LDFLAGS="-L$default_fink_path/lib $LDFLAGS" + else + { $as_echo "$as_me:${as_lineno-11362}: result: none" >&5 +$as_echo "none" >&6; } + { $as_echo "$as_me:${as_lineno-11364}: You may need to add set CPPFLAGS and LDFLAGS for gmp, etc." >&5 +$as_echo "$as_me: You may need to add set CPPFLAGS and LDFLAGS for gmp, etc." >&6;} + fi + ;; +esac + +############################ +# Configs for Windows DLLs. +# Framework for the below was extracted and +# modeled after the libgmp configure script. + +enable_win32_dll=yes + +case $host in +*-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-cegcc*) + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}as", so it can be a program name with args. +set dummy ${ac_tool_prefix}as; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-11382}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_AS+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$AS"; then + ac_cv_prog_AS="$AS" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_AS="${ac_tool_prefix}as" + $as_echo "$as_me:${as_lineno-11398}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +AS=$ac_cv_prog_AS +if test -n "$AS"; then + { $as_echo "$as_me:${as_lineno-11409}: result: $AS" >&5 +$as_echo "$AS" >&6; } +else + { $as_echo "$as_me:${as_lineno-11412}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_AS"; then + ac_ct_AS=$AS + # Extract the first word of "as", so it can be a program name with args. +set dummy as; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-11422}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_AS+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_AS"; then + ac_cv_prog_ac_ct_AS="$ac_ct_AS" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_AS="as" + $as_echo "$as_me:${as_lineno-11438}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_AS=$ac_cv_prog_ac_ct_AS +if test -n "$ac_ct_AS"; then + { $as_echo "$as_me:${as_lineno-11449}: result: $ac_ct_AS" >&5 +$as_echo "$ac_ct_AS" >&6; } +else + { $as_echo "$as_me:${as_lineno-11452}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_AS" = x; then + AS="false" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-11461}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + AS=$ac_ct_AS + fi +else + AS="$ac_cv_prog_AS" +fi + + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}dlltool", so it can be a program name with args. +set dummy ${ac_tool_prefix}dlltool; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-11474}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_DLLTOOL+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$DLLTOOL"; then + ac_cv_prog_DLLTOOL="$DLLTOOL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_DLLTOOL="${ac_tool_prefix}dlltool" + $as_echo "$as_me:${as_lineno-11490}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +DLLTOOL=$ac_cv_prog_DLLTOOL +if test -n "$DLLTOOL"; then + { $as_echo "$as_me:${as_lineno-11501}: result: $DLLTOOL" >&5 +$as_echo "$DLLTOOL" >&6; } +else + { $as_echo "$as_me:${as_lineno-11504}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_DLLTOOL"; then + ac_ct_DLLTOOL=$DLLTOOL + # Extract the first word of "dlltool", so it can be a program name with args. +set dummy dlltool; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-11514}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_DLLTOOL+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_DLLTOOL"; then + ac_cv_prog_ac_ct_DLLTOOL="$ac_ct_DLLTOOL" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_DLLTOOL="dlltool" + $as_echo "$as_me:${as_lineno-11530}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_DLLTOOL=$ac_cv_prog_ac_ct_DLLTOOL +if test -n "$ac_ct_DLLTOOL"; then + { $as_echo "$as_me:${as_lineno-11541}: result: $ac_ct_DLLTOOL" >&5 +$as_echo "$ac_ct_DLLTOOL" >&6; } +else + { $as_echo "$as_me:${as_lineno-11544}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_DLLTOOL" = x; then + DLLTOOL="false" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-11553}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + DLLTOOL=$ac_ct_DLLTOOL + fi +else + DLLTOOL="$ac_cv_prog_DLLTOOL" +fi + + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}objdump", so it can be a program name with args. +set dummy ${ac_tool_prefix}objdump; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-11566}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_OBJDUMP+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$OBJDUMP"; then + ac_cv_prog_OBJDUMP="$OBJDUMP" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_OBJDUMP="${ac_tool_prefix}objdump" + $as_echo "$as_me:${as_lineno-11582}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +OBJDUMP=$ac_cv_prog_OBJDUMP +if test -n "$OBJDUMP"; then + { $as_echo "$as_me:${as_lineno-11593}: result: $OBJDUMP" >&5 +$as_echo "$OBJDUMP" >&6; } +else + { $as_echo "$as_me:${as_lineno-11596}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_OBJDUMP"; then + ac_ct_OBJDUMP=$OBJDUMP + # Extract the first word of "objdump", so it can be a program name with args. +set dummy objdump; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-11606}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_OBJDUMP+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_OBJDUMP"; then + ac_cv_prog_ac_ct_OBJDUMP="$ac_ct_OBJDUMP" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_OBJDUMP="objdump" + $as_echo "$as_me:${as_lineno-11622}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_OBJDUMP=$ac_cv_prog_ac_ct_OBJDUMP +if test -n "$ac_ct_OBJDUMP"; then + { $as_echo "$as_me:${as_lineno-11633}: result: $ac_ct_OBJDUMP" >&5 +$as_echo "$ac_ct_OBJDUMP" >&6; } +else + { $as_echo "$as_me:${as_lineno-11636}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_OBJDUMP" = x; then + OBJDUMP="false" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-11645}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + OBJDUMP=$ac_ct_OBJDUMP + fi +else + OBJDUMP="$ac_cv_prog_OBJDUMP" +fi + + ;; +esac + +test -z "$AS" && AS=as + + + + + +test -z "$DLLTOOL" && DLLTOOL=dlltool + + +test -z "$OBJDUMP" && OBJDUMP=objdump + + + + +LIBPBC_DLL=0 + + +case $host in + *-*-cygwin* | *-*-mingw* | *-*-pw32* | *-*-os2*) + if test -z "$enable_shared"; then + enable_shared=no + fi + # Don't allow both static and DLL. + if test "$enable_shared" != no && test "$enable_static" != no; then + as_fn_error $? "cannot build both static and DLL, since gmp.h is different for each. +Use \"--disable-static --enable-shared\" to build just a DLL." "11683" 5 + fi + + # "-no-undefined" is required when building a DLL, see documentation on + # AC_LIBTOOL_WIN32_DLL. Also, -no-undefined needs a version number + # or it will complain about not having a nonnegative integer. + if test "$enable_shared" = yes; then + PBC_LDFLAGS="$PBC_LDFLAGS -no-undefined 0 -Wl,--export-all-symbols" + LIBPBC_LDFLAGS="$LIBPBC_LDFLAGS -Wl,--output-def,.libs/libpbc.dll.def" + LIBPBC_DLL=1 + fi + ;; +esac +case $host in + *-*-mingw*) + gcc_cflags_optlist="$gcc_cflags_optlist nocygwin" + gcc_cflags_nocygwin="-mno-cygwin" + ;; +esac + + + +############################ + +# Checks for programs. +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu +if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}gcc", so it can be a program name with args. +set dummy ${ac_tool_prefix}gcc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-11716}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_CC="${ac_tool_prefix}gcc" + $as_echo "$as_me:${as_lineno-11732}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-11743}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-11746}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$ac_cv_prog_CC"; then + ac_ct_CC=$CC + # Extract the first word of "gcc", so it can be a program name with args. +set dummy gcc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-11756}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_CC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_CC"; then + ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_CC="gcc" + $as_echo "$as_me:${as_lineno-11772}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_CC=$ac_cv_prog_ac_ct_CC +if test -n "$ac_ct_CC"; then + { $as_echo "$as_me:${as_lineno-11783}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-11786}: result: no" >&5 +$as_echo "no" >&6; } +fi + + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-11795}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi +else + CC="$ac_cv_prog_CC" +fi + +if test -z "$CC"; then + if test -n "$ac_tool_prefix"; then + # Extract the first word of "${ac_tool_prefix}cc", so it can be a program name with args. +set dummy ${ac_tool_prefix}cc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-11809}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_CC="${ac_tool_prefix}cc" + $as_echo "$as_me:${as_lineno-11825}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-11836}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-11839}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + fi +fi +if test -z "$CC"; then + # Extract the first word of "cc", so it can be a program name with args. +set dummy cc; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-11849}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else + ac_prog_rejected=no +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + if test "$as_dir/$ac_word$ac_exec_ext" = "/usr/ucb/cc"; then + ac_prog_rejected=yes + continue + fi + ac_cv_prog_CC="cc" + $as_echo "$as_me:${as_lineno-11870}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +if test $ac_prog_rejected = yes; then + # We found a bogon in the path, so make sure we never use it. + set dummy $ac_cv_prog_CC + shift + if test $# != 0; then + # We chose a different compiler from the bogus one. + # However, it has the same basename, so the bogon will be chosen + # first if we set CC to just the basename; use the full file name. + shift + ac_cv_prog_CC="$as_dir/$ac_word${1+' '}$@" + fi +fi +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-11893}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-11896}: result: no" >&5 +$as_echo "no" >&6; } +fi + + +fi +if test -z "$CC"; then + if test -n "$ac_tool_prefix"; then + for ac_prog in cl.exe + do + # Extract the first word of "$ac_tool_prefix$ac_prog", so it can be a program name with args. +set dummy $ac_tool_prefix$ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-11908}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_CC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$CC"; then + ac_cv_prog_CC="$CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_CC="$ac_tool_prefix$ac_prog" + $as_echo "$as_me:${as_lineno-11924}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +CC=$ac_cv_prog_CC +if test -n "$CC"; then + { $as_echo "$as_me:${as_lineno-11935}: result: $CC" >&5 +$as_echo "$CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-11938}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$CC" && break + done +fi +if test -z "$CC"; then + ac_ct_CC=$CC + for ac_prog in cl.exe +do + # Extract the first word of "$ac_prog", so it can be a program name with args. +set dummy $ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-11952}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_ac_ct_CC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$ac_ct_CC"; then + ac_cv_prog_ac_ct_CC="$ac_ct_CC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_ac_ct_CC="$ac_prog" + $as_echo "$as_me:${as_lineno-11968}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +ac_ct_CC=$ac_cv_prog_ac_ct_CC +if test -n "$ac_ct_CC"; then + { $as_echo "$as_me:${as_lineno-11979}: result: $ac_ct_CC" >&5 +$as_echo "$ac_ct_CC" >&6; } +else + { $as_echo "$as_me:${as_lineno-11982}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$ac_ct_CC" && break +done + + if test "x$ac_ct_CC" = x; then + CC="" + else + case $cross_compiling:$ac_tool_warned in +yes:) +{ $as_echo "$as_me:${as_lineno-11995}: WARNING: using cross tools not prefixed with host triplet" >&5 +$as_echo "$as_me: WARNING: using cross tools not prefixed with host triplet" >&2;} +ac_tool_warned=yes ;; +esac + CC=$ac_ct_CC + fi +fi + +fi + + +test -z "$CC" && { { $as_echo "$as_me:${as_lineno-12006}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "no acceptable C compiler found in \$PATH +See \`config.log' for more details" "12009" 5; } + +# Provide some information about the compiler. +$as_echo "$as_me:${as_lineno-12012}: checking for C compiler version" >&5 +set X $ac_compile +ac_compiler=$2 +for ac_option in --version -v -V -qversion; do + { { ac_try="$ac_compiler $ac_option >&5" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-12021}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$ac_compiler $ac_option >&5") 2>conftest.err + ac_status=$? + if test -s conftest.err; then + sed '10a\ +... rest of stderr output deleted ... + 10q' conftest.err >conftest.er1 + cat conftest.er1 >&5 + fi + rm -f conftest.er1 conftest.err + $as_echo "$as_me:${as_lineno-12032}: \$? = $ac_status" >&5 + test $ac_status = 0; } +done + +{ $as_echo "$as_me:${as_lineno-12036}: checking whether we are using the GNU C compiler" >&5 +$as_echo_n "checking whether we are using the GNU C compiler... " >&6; } +if ${ac_cv_c_compiler_gnu+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ +#ifndef __GNUC__ + choke me +#endif + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "12055"; then : + ac_compiler_gnu=yes +else + ac_compiler_gnu=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +ac_cv_c_compiler_gnu=$ac_compiler_gnu + +fi +{ $as_echo "$as_me:${as_lineno-12064}: result: $ac_cv_c_compiler_gnu" >&5 +$as_echo "$ac_cv_c_compiler_gnu" >&6; } +if test $ac_compiler_gnu = yes; then + GCC=yes +else + GCC= +fi +ac_test_CFLAGS=${CFLAGS+set} +ac_save_CFLAGS=$CFLAGS +{ $as_echo "$as_me:${as_lineno-12073}: checking whether $CC accepts -g" >&5 +$as_echo_n "checking whether $CC accepts -g... " >&6; } +if ${ac_cv_prog_cc_g+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_save_c_werror_flag=$ac_c_werror_flag + ac_c_werror_flag=yes + ac_cv_prog_cc_g=no + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "12093"; then : + ac_cv_prog_cc_g=yes +else + CFLAGS="" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "12108"; then : + +else + ac_c_werror_flag=$ac_save_c_werror_flag + CFLAGS="-g" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "12124"; then : + ac_cv_prog_cc_g=yes +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + ac_c_werror_flag=$ac_save_c_werror_flag +fi +{ $as_echo "$as_me:${as_lineno-12134}: result: $ac_cv_prog_cc_g" >&5 +$as_echo "$ac_cv_prog_cc_g" >&6; } +if test "$ac_test_CFLAGS" = set; then + CFLAGS=$ac_save_CFLAGS +elif test $ac_cv_prog_cc_g = yes; then + if test "$GCC" = yes; then + CFLAGS="-g -O2" + else + CFLAGS="-g" + fi +else + if test "$GCC" = yes; then + CFLAGS="-O2" + else + CFLAGS= + fi +fi +{ $as_echo "$as_me:${as_lineno-12151}: checking for $CC option to accept ISO C89" >&5 +$as_echo_n "checking for $CC option to accept ISO C89... " >&6; } +if ${ac_cv_prog_cc_c89+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_cv_prog_cc_c89=no +ac_save_CC=$CC +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <stdarg.h> +#include <stdio.h> +#include <sys/types.h> +#include <sys/stat.h> +/* Most of the following tests are stolen from RCS 5.7's src/conf.sh. */ +struct buf { int x; }; +FILE * (*rcsopen) (struct buf *, struct stat *, int); +static char *e (p, i) + char **p; + int i; +{ + return p[i]; +} +static char *f (char * (*g) (char **, int), char **p, ...) +{ + char *s; + va_list v; + va_start (v,p); + s = g (p, va_arg (v,int)); + va_end (v); + return s; +} + +/* OSF 4.0 Compaq cc is some sort of almost-ANSI by default. It has + function prototypes and stuff, but not '\xHH' hex character constants. + These don't provoke an error unfortunately, instead are silently treated + as 'x'. The following induces an error, until -std is added to get + proper ANSI mode. Curiously '\x00'!='x' always comes out true, for an + array size at least. It's necessary to write '\x00'==0 to get something + that's true only with -std. */ +int osf4_cc_array ['\x00' == 0 ? 1 : -1]; + +/* IBM C 6 for AIX is almost-ANSI by default, but it replaces macro parameters + inside strings and character constants. */ +#define FOO(x) 'x' +int xlc6_cc_array[FOO(a) == 'x' ? 1 : -1]; + +int test (int i, double x); +struct s1 {int (*f) (int a);}; +struct s2 {int (*f) (double a);}; +int pairnames (int, char **, FILE *(*)(struct buf *, struct stat *, int), int, int); +int argc; +char **argv; +int +main () +{ +return f (e, argv, 0) != argv[0] || f (e, argv, 1) != argv[1]; + ; + return 0; +} +_ACEOF +for ac_arg in '' -qlanglvl=extc89 -qlanglvl=ansi -std \ + -Ae "-Aa -D_HPUX_SOURCE" "-Xc -D__EXTENSIONS__" +do + CC="$ac_save_CC $ac_arg" + if ac_fn_c_try_compile "12215"; then : + ac_cv_prog_cc_c89=$ac_arg +fi +rm -f core conftest.err conftest.$ac_objext + test "x$ac_cv_prog_cc_c89" != "xno" && break +done +rm -f conftest.$ac_ext +CC=$ac_save_CC + +fi +# AC_CACHE_VAL +case "x$ac_cv_prog_cc_c89" in + x) + { $as_echo "$as_me:${as_lineno-12228}: result: none needed" >&5 +$as_echo "none needed" >&6; } ;; + xno) + { $as_echo "$as_me:${as_lineno-12231}: result: unsupported" >&5 +$as_echo "unsupported" >&6; } ;; + *) + CC="$CC $ac_cv_prog_cc_c89" + { $as_echo "$as_me:${as_lineno-12235}: result: $ac_cv_prog_cc_c89" >&5 +$as_echo "$ac_cv_prog_cc_c89" >&6; } ;; +esac +if test "x$ac_cv_prog_cc_c89" != xno; then : + +fi + +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + +depcc="$CC" am_compiler_list= + +{ $as_echo "$as_me:${as_lineno-12250}: checking dependency style of $depcc" >&5 +$as_echo_n "checking dependency style of $depcc... " >&6; } +if ${am_cv_CC_dependencies_compiler_type+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -z "$AMDEP_TRUE" && test -f "$am_depcomp"; then + # We make a subdir and do the tests there. Otherwise we can end up + # making bogus files that we don't know about and never remove. For + # instance it was reported that on HP-UX the gcc test will end up + # making a dummy file named `D' -- because `-MD' means `put the output + # in D'. + rm -rf conftest.dir + mkdir conftest.dir + # Copy depcomp to subdir because otherwise we won't find it if we're + # using a relative directory. + cp "$am_depcomp" conftest.dir + cd conftest.dir + # We will build objects and dependencies in a subdirectory because + # it helps to detect inapplicable dependency modes. For instance + # both Tru64's cc and ICC support -MD to output dependencies as a + # side effect of compilation, but ICC will put the dependencies in + # the current directory while Tru64 will put them in the object + # directory. + mkdir sub + + am_cv_CC_dependencies_compiler_type=none + if test "$am_compiler_list" = ""; then + am_compiler_list=`sed -n 's/^#*\([a-zA-Z0-9]*\))$/\1/p' < ./depcomp` + fi + am__universal=false + case " $depcc " in #( + *\ -arch\ *\ -arch\ *) am__universal=true ;; + esac + + for depmode in $am_compiler_list; do + # Setup a source with many dependencies, because some compilers + # like to wrap large dependency lists on column 80 (with \), and + # we should not choose a depcomp mode which is confused by this. + # + # We need to recreate these files for each test, as the compiler may + # overwrite some of them when testing with obscure command lines. + # This happens at least with the AIX C compiler. + : > sub/conftest.c + for i in 1 2 3 4 5 6; do + echo '#include "conftst'$i'.h"' >> sub/conftest.c + # Using `: > sub/conftst$i.h' creates only sub/conftst1.h with + # Solaris 8's {/usr,}/bin/sh. + touch sub/conftst$i.h + done + echo "${am__include} ${am__quote}sub/conftest.Po${am__quote}" > confmf + + # We check with `-c' and `-o' for the sake of the "dashmstdout" + # mode. It turns out that the SunPro C++ compiler does not properly + # handle `-M -o', and we need to detect this. Also, some Intel + # versions had trouble with output in subdirs + am__obj=sub/conftest.${OBJEXT-o} + am__minus_obj="-o $am__obj" + case $depmode in + gcc) + # This depmode causes a compiler race in universal mode. + test "$am__universal" = false || continue + ;; + nosideeffect) + # after this tag, mechanisms are not by side-effect, so they'll + # only be used when explicitly requested + if test "x$enable_dependency_tracking" = xyes; then + continue + else + break + fi + ;; + msvc7 | msvc7msys | msvisualcpp | msvcmsys) + # This compiler won't grok `-c -o', but also, the minuso test has + # not run yet. These depmodes are late enough in the game, and + # so weak that their functioning should not be impacted. + am__obj=conftest.${OBJEXT-o} + am__minus_obj= + ;; + none) break ;; + esac + if depmode=$depmode \ + source=sub/conftest.c object=$am__obj \ + depfile=sub/conftest.Po tmpdepfile=sub/conftest.TPo \ + $SHELL ./depcomp $depcc -c $am__minus_obj sub/conftest.c \ + >/dev/null 2>conftest.err && + grep sub/conftst1.h sub/conftest.Po > /dev/null 2>&1 && + grep sub/conftst6.h sub/conftest.Po > /dev/null 2>&1 && + grep $am__obj sub/conftest.Po > /dev/null 2>&1 && + ${MAKE-make} -s -f confmf > /dev/null 2>&1; then + # icc doesn't choke on unknown options, it will just issue warnings + # or remarks (even with -Werror). So we grep stderr for any message + # that says an option was ignored or not supported. + # When given -MP, icc 7.0 and 7.1 complain thusly: + # icc: Command line warning: ignoring option '-M'; no argument required + # The diagnosis changed in icc 8.0: + # icc: Command line remark: option '-MP' not supported + if (grep 'ignoring option' conftest.err || + grep 'not supported' conftest.err) >/dev/null 2>&1; then :; else + am_cv_CC_dependencies_compiler_type=$depmode + break + fi + fi + done + + cd .. + rm -rf conftest.dir +else + am_cv_CC_dependencies_compiler_type=none +fi + +fi +{ $as_echo "$as_me:${as_lineno-12361}: result: $am_cv_CC_dependencies_compiler_type" >&5 +$as_echo "$am_cv_CC_dependencies_compiler_type" >&6; } +CCDEPMODE=depmode=$am_cv_CC_dependencies_compiler_type + + if + test "x$enable_dependency_tracking" != xno \ + && test "$am_cv_CC_dependencies_compiler_type" = gcc3; then + am__fastdepCC_TRUE= + am__fastdepCC_FALSE='#' +else + am__fastdepCC_TRUE='#' + am__fastdepCC_FALSE= +fi + + +if test "x$CC" != xcc; then + { $as_echo "$as_me:${as_lineno-12377}: checking whether $CC and cc understand -c and -o together" >&5 +$as_echo_n "checking whether $CC and cc understand -c and -o together... " >&6; } +else + { $as_echo "$as_me:${as_lineno-12380}: checking whether cc understands -c and -o together" >&5 +$as_echo_n "checking whether cc understands -c and -o together... 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Now check whether nonexistent headers + # can be detected and how. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <ac_nonexistent.h> +_ACEOF +if ac_fn_c_try_cpp "12552"; then : + # Broken: success on invalid input. +continue +else + # Passes both tests. +ac_preproc_ok=: +break +fi +rm -f conftest.err conftest.i conftest.$ac_ext + +done +# Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. +rm -f conftest.i conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : + break +fi + + done + ac_cv_prog_CPP=$CPP + +fi + CPP=$ac_cv_prog_CPP +else + ac_cv_prog_CPP=$CPP +fi +{ $as_echo "$as_me:${as_lineno-12577}: result: $CPP" >&5 +$as_echo "$CPP" >&6; } +ac_preproc_ok=false +for ac_c_preproc_warn_flag in '' yes +do + # Use a header file that comes with gcc, so configuring glibc + # with a fresh cross-compiler works. + # Prefer <limits.h> to <assert.h> if __STDC__ is defined, since + # <limits.h> exists even on freestanding compilers. + # On the NeXT, cc -E runs the code through the compiler's parser, + # not just through cpp. "Syntax error" is here to catch this case. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#ifdef __STDC__ +# include <limits.h> +#else +# include <assert.h> +#endif + Syntax error +_ACEOF +if ac_fn_c_try_cpp "12597"; then : + +else + # Broken: fails on valid input. +continue +fi +rm -f conftest.err conftest.i conftest.$ac_ext + + # OK, works on sane cases. Now check whether nonexistent headers + # can be detected and how. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <ac_nonexistent.h> +_ACEOF +if ac_fn_c_try_cpp "12611"; then : + # Broken: success on invalid input. +continue +else + # Passes both tests. +ac_preproc_ok=: +break +fi +rm -f conftest.err conftest.i conftest.$ac_ext + +done +# Because of `break', _AC_PREPROC_IFELSE's cleaning code was skipped. +rm -f conftest.i conftest.err conftest.$ac_ext +if $ac_preproc_ok; then : + +else + { { $as_echo "$as_me:${as_lineno-12627}: error: in \`$ac_pwd':" >&5 +$as_echo "$as_me: error: in \`$ac_pwd':" >&2;} +as_fn_error $? "C preprocessor \"$CPP\" fails sanity check +See \`config.log' for more details" "12630" 5; } +fi + +ac_ext=c +ac_cpp='$CPP $CPPFLAGS' +ac_compile='$CC -c $CFLAGS $CPPFLAGS conftest.$ac_ext >&5' +ac_link='$CC -o conftest$ac_exeext $CFLAGS $CPPFLAGS $LDFLAGS conftest.$ac_ext $LIBS >&5' +ac_compiler_gnu=$ac_cv_c_compiler_gnu + + +{ $as_echo "$as_me:${as_lineno-12640}: checking whether ln -s works" >&5 +$as_echo_n "checking whether ln -s works... " >&6; } +LN_S=$as_ln_s +if test "$LN_S" = "ln -s"; then + { $as_echo "$as_me:${as_lineno-12644}: result: yes" >&5 +$as_echo "yes" >&6; } +else + { $as_echo "$as_me:${as_lineno-12647}: result: no, using $LN_S" >&5 +$as_echo "no, using $LN_S" >&6; } +fi + +{ $as_echo "$as_me:${as_lineno-12651}: checking whether ${MAKE-make} sets \$(MAKE)" >&5 +$as_echo_n "checking whether ${MAKE-make} sets \$(MAKE)... " >&6; } +set x ${MAKE-make} +ac_make=`$as_echo "$2" | sed 's/+/p/g; s/[^a-zA-Z0-9_]/_/g'` +if eval \${ac_cv_prog_make_${ac_make}_set+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat >conftest.make <<\_ACEOF +SHELL = /bin/sh +all: + @echo '@@@%%%=$(MAKE)=@@@%%%' +_ACEOF +# GNU make sometimes prints "make[1]: Entering ...", which would confuse us. +case `${MAKE-make} -f conftest.make 2>/dev/null` in + *@@@%%%=?*=@@@%%%*) + eval ac_cv_prog_make_${ac_make}_set=yes;; + *) + eval ac_cv_prog_make_${ac_make}_set=no;; +esac +rm -f conftest.make +fi +if eval test \$ac_cv_prog_make_${ac_make}_set = yes; then + { $as_echo "$as_me:${as_lineno-12673}: result: yes" >&5 +$as_echo "yes" >&6; } + SET_MAKE= +else + { $as_echo "$as_me:${as_lineno-12677}: result: no" >&5 +$as_echo "no" >&6; } + SET_MAKE="MAKE=${MAKE-make}" +fi + + +for ac_prog in flex lex +do + # Extract the first word of "$ac_prog", so it can be a program name with args. +set dummy $ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-12687}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_LEX+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$LEX"; then + ac_cv_prog_LEX="$LEX" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_LEX="$ac_prog" + $as_echo "$as_me:${as_lineno-12703}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +LEX=$ac_cv_prog_LEX +if test -n "$LEX"; then + { $as_echo "$as_me:${as_lineno-12714}: result: $LEX" >&5 +$as_echo "$LEX" >&6; } +else + { $as_echo "$as_me:${as_lineno-12717}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$LEX" && break +done +test -n "$LEX" || LEX=":" + +if test "x$LEX" != "x:"; then + cat >conftest.l <<_ACEOF +%% +a { ECHO; } +b { REJECT; } +c { yymore (); } +d { yyless (1); } +e { yyless (input () != 0); } +f { unput (yytext[0]); } +. { BEGIN INITIAL; } +%% +#ifdef YYTEXT_POINTER +extern char *yytext; +#endif +int +main (void) +{ + return ! yylex () + ! yywrap (); +} +_ACEOF +{ { ac_try="$LEX conftest.l" +case "(($ac_try" in + *\"* | *\`* | *\\*) ac_try_echo=\$ac_try;; + *) ac_try_echo=$ac_try;; +esac +eval ac_try_echo="\"\$as_me:${as_lineno-12751}: $ac_try_echo\"" +$as_echo "$ac_try_echo"; } >&5 + (eval "$LEX conftest.l") 2>&5 + ac_status=$? + $as_echo "$as_me:${as_lineno-12755}: \$? = $ac_status" >&5 + test $ac_status = 0; } +{ $as_echo "$as_me:${as_lineno-12757}: checking lex output file root" >&5 +$as_echo_n "checking lex output file root... " >&6; } +if ${ac_cv_prog_lex_root+:} false; then : + $as_echo_n "(cached) " >&6 +else + +if test -f lex.yy.c; then + ac_cv_prog_lex_root=lex.yy +elif test -f lexyy.c; then + ac_cv_prog_lex_root=lexyy +else + as_fn_error $? "cannot find output from $LEX; giving up" "12768" 5 +fi +fi +{ $as_echo "$as_me:${as_lineno-12771}: result: $ac_cv_prog_lex_root" >&5 +$as_echo "$ac_cv_prog_lex_root" >&6; } +LEX_OUTPUT_ROOT=$ac_cv_prog_lex_root + +if test -z "${LEXLIB+set}"; then + { $as_echo "$as_me:${as_lineno-12776}: checking lex library" >&5 +$as_echo_n "checking lex library... " >&6; } +if ${ac_cv_lib_lex+:} false; then : + $as_echo_n "(cached) " >&6 +else + + ac_save_LIBS=$LIBS + ac_cv_lib_lex='none needed' + for ac_lib in '' -lfl -ll; do + LIBS="$ac_lib $ac_save_LIBS" + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +`cat $LEX_OUTPUT_ROOT.c` +_ACEOF +if ac_fn_c_try_link "12790"; then : + ac_cv_lib_lex=$ac_lib +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext + test "$ac_cv_lib_lex" != 'none needed' && break + done + LIBS=$ac_save_LIBS + +fi +{ $as_echo "$as_me:${as_lineno-12800}: result: $ac_cv_lib_lex" >&5 +$as_echo "$ac_cv_lib_lex" >&6; } + test "$ac_cv_lib_lex" != 'none needed' && LEXLIB=$ac_cv_lib_lex +fi + + +{ $as_echo "$as_me:${as_lineno-12806}: checking whether yytext is a pointer" >&5 +$as_echo_n "checking whether yytext is a pointer... " >&6; } +if ${ac_cv_prog_lex_yytext_pointer+:} false; then : + $as_echo_n "(cached) " >&6 +else + # POSIX says lex can declare yytext either as a pointer or an array; the +# default is implementation-dependent. Figure out which it is, since +# not all implementations provide the %pointer and %array declarations. +ac_cv_prog_lex_yytext_pointer=no +ac_save_LIBS=$LIBS +LIBS="$LEXLIB $ac_save_LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + + #define YYTEXT_POINTER 1 +`cat $LEX_OUTPUT_ROOT.c` +_ACEOF +if ac_fn_c_try_link "12823"; then : + ac_cv_prog_lex_yytext_pointer=yes +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_save_LIBS + +fi +{ $as_echo "$as_me:${as_lineno-12831}: result: $ac_cv_prog_lex_yytext_pointer" >&5 +$as_echo "$ac_cv_prog_lex_yytext_pointer" >&6; } +if test $ac_cv_prog_lex_yytext_pointer = yes; then + +$as_echo "#define YYTEXT_POINTER 1" >>confdefs.h + +fi +rm -f conftest.l $LEX_OUTPUT_ROOT.c + +fi +if test "x$LEX" != xflex; then + echo "************************" + echo "flex not found" + echo "************************" + exit -1 +fi + +for ac_prog in 'bison -y' byacc +do + # Extract the first word of "$ac_prog", so it can be a program name with args. +set dummy $ac_prog; ac_word=$2 +{ $as_echo "$as_me:${as_lineno-12852}: checking for $ac_word" >&5 +$as_echo_n "checking for $ac_word... " >&6; } +if ${ac_cv_prog_YACC+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test -n "$YACC"; then + ac_cv_prog_YACC="$YACC" # Let the user override the test. +else +as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + for ac_exec_ext in '' $ac_executable_extensions; do + if { test -f "$as_dir/$ac_word$ac_exec_ext" && $as_test_x "$as_dir/$ac_word$ac_exec_ext"; }; then + ac_cv_prog_YACC="$ac_prog" + $as_echo "$as_me:${as_lineno-12868}: found $as_dir/$ac_word$ac_exec_ext" >&5 + break 2 + fi +done + done +IFS=$as_save_IFS + +fi +fi +YACC=$ac_cv_prog_YACC +if test -n "$YACC"; then + { $as_echo "$as_me:${as_lineno-12879}: result: $YACC" >&5 +$as_echo "$YACC" >&6; } +else + { $as_echo "$as_me:${as_lineno-12882}: result: no" >&5 +$as_echo "no" >&6; } +fi + + + test -n "$YACC" && break +done +test -n "$YACC" || YACC="yacc" + +if test "x$YACC" != "xbison -y"; then + echo "************************" + echo "bison not found" + echo "************************" + exit -1 +fi + +# Checks for libraries. +lib_err_msg="add its path to LDFLAGS\nsee ./configure --help" +{ $as_echo "$as_me:${as_lineno-12900}: checking for pow in -lm" >&5 +$as_echo_n "checking for pow in -lm... " >&6; } +if ${ac_cv_lib_m_pow+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lm $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char pow (); +int +main () +{ +return pow (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "12925"; then : + ac_cv_lib_m_pow=yes +else + ac_cv_lib_m_pow=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-12934}: result: $ac_cv_lib_m_pow" >&5 +$as_echo "$ac_cv_lib_m_pow" >&6; } +if test "x$ac_cv_lib_m_pow" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_LIBM 1 +_ACEOF + + LIBS="-lm $LIBS" + +else + + echo "************************" + echo "m library not found" + echo -e $lib_err_msg + echo "************************" + exit -1 + +fi + +{ $as_echo "$as_me:${as_lineno-12953}: checking for __gmpz_init in -lgmp" >&5 +$as_echo_n "checking for __gmpz_init in -lgmp... " >&6; } +if ${ac_cv_lib_gmp___gmpz_init+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_check_lib_save_LIBS=$LIBS +LIBS="-lgmp $LIBS" +cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +/* Override any GCC internal prototype to avoid an error. + Use char because int might match the return type of a GCC + builtin and then its argument prototype would still apply. */ +#ifdef __cplusplus +extern "C" +#endif +char __gmpz_init (); +int +main () +{ +return __gmpz_init (); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "12978"; then : + ac_cv_lib_gmp___gmpz_init=yes +else + ac_cv_lib_gmp___gmpz_init=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +LIBS=$ac_check_lib_save_LIBS +fi +{ $as_echo "$as_me:${as_lineno-12987}: result: $ac_cv_lib_gmp___gmpz_init" >&5 +$as_echo "$ac_cv_lib_gmp___gmpz_init" >&6; } +if test "x$ac_cv_lib_gmp___gmpz_init" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_LIBGMP 1 +_ACEOF + + LIBS="-lgmp $LIBS" + +else + + echo "************************" + echo "gmp library not found" + echo -e $lib_err_msg + echo "************************" + exit -1 + +fi + +LIBS= + +# Checks for header files. +ac_fn_c_check_type "13009" "size_t" "ac_cv_type_size_t" "$ac_includes_default" +if test "x$ac_cv_type_size_t" = xyes; then : + +else + +cat >>confdefs.h <<_ACEOF +#define size_t unsigned int +_ACEOF + +fi + +# The Ultrix 4.2 mips builtin alloca declared by alloca.h only works +# for constant arguments. Useless! +{ $as_echo "$as_me:${as_lineno-13022}: checking for working alloca.h" >&5 +$as_echo_n "checking for working alloca.h... " >&6; } +if ${ac_cv_working_alloca_h+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <alloca.h> +int +main () +{ +char *p = (char *) alloca (2 * sizeof (int)); + if (p) return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "13039"; then : + ac_cv_working_alloca_h=yes +else + ac_cv_working_alloca_h=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +fi +{ $as_echo "$as_me:${as_lineno-13047}: result: $ac_cv_working_alloca_h" >&5 +$as_echo "$ac_cv_working_alloca_h" >&6; } +if test $ac_cv_working_alloca_h = yes; then + +$as_echo "#define HAVE_ALLOCA_H 1" >>confdefs.h + +fi + +{ $as_echo "$as_me:${as_lineno-13055}: checking for alloca" >&5 +$as_echo_n "checking for alloca... " >&6; } +if ${ac_cv_func_alloca_works+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#ifdef __GNUC__ +# define alloca __builtin_alloca +#else +# ifdef _MSC_VER +# include <malloc.h> +# define alloca _alloca +# else +# ifdef HAVE_ALLOCA_H +# include <alloca.h> +# else +# ifdef _AIX + #pragma alloca +# else +# ifndef alloca /* predefined by HP cc +Olibcalls */ +void *alloca (size_t); +# endif +# endif +# endif +# endif +#endif + +int +main () +{ +char *p = (char *) alloca (1); + if (p) return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_link "13092"; then : + ac_cv_func_alloca_works=yes +else + ac_cv_func_alloca_works=no +fi +rm -f core conftest.err conftest.$ac_objext \ + conftest$ac_exeext conftest.$ac_ext +fi +{ $as_echo "$as_me:${as_lineno-13100}: result: $ac_cv_func_alloca_works" >&5 +$as_echo "$ac_cv_func_alloca_works" >&6; } + +if test $ac_cv_func_alloca_works = yes; then + +$as_echo "#define HAVE_ALLOCA 1" >>confdefs.h + +else + # The SVR3 libPW and SVR4 libucb both contain incompatible functions +# that cause trouble. Some versions do not even contain alloca or +# contain a buggy version. If you still want to use their alloca, +# use ar to extract alloca.o from them instead of compiling alloca.c. + +ALLOCA=\${LIBOBJDIR}alloca.$ac_objext + +$as_echo "#define C_ALLOCA 1" >>confdefs.h + + +{ $as_echo "$as_me:${as_lineno-13118}: checking whether \`alloca.c' needs Cray hooks" >&5 +$as_echo_n "checking whether \`alloca.c' needs Cray hooks... " >&6; } +if ${ac_cv_os_cray+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#if defined CRAY && ! defined CRAY2 +webecray +#else +wenotbecray +#endif + +_ACEOF +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "webecray" >/dev/null 2>&1; then : + ac_cv_os_cray=yes +else + ac_cv_os_cray=no +fi +rm -f conftest* + +fi +{ $as_echo "$as_me:${as_lineno-13141}: result: $ac_cv_os_cray" >&5 +$as_echo "$ac_cv_os_cray" >&6; } +if test $ac_cv_os_cray = yes; then + for ac_func in _getb67 GETB67 getb67; do + as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh` +ac_fn_c_check_func "13146" "$ac_func" "$as_ac_var" +if eval test \"x\$"$as_ac_var"\" = x"yes"; then : + +cat >>confdefs.h <<_ACEOF +#define CRAY_STACKSEG_END $ac_func +_ACEOF + + break +fi + + done +fi + +{ $as_echo "$as_me:${as_lineno-13159}: checking stack direction for C alloca" >&5 +$as_echo_n "checking stack direction for C alloca... " >&6; } +if ${ac_cv_c_stack_direction+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + ac_cv_c_stack_direction=0 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +$ac_includes_default +int +find_stack_direction () +{ + static char *addr = 0; + auto char dummy; + if (addr == 0) + { + addr = &dummy; + return find_stack_direction (); + } + else + return (&dummy > addr) ? 1 : -1; +} + +int +main () +{ + return find_stack_direction () < 0; +} +_ACEOF +if ac_fn_c_try_run "13190"; then : + ac_cv_c_stack_direction=1 +else + ac_cv_c_stack_direction=-1 +fi +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext +fi + +fi +{ $as_echo "$as_me:${as_lineno-13200}: result: $ac_cv_c_stack_direction" >&5 +$as_echo "$ac_cv_c_stack_direction" >&6; } +cat >>confdefs.h <<_ACEOF +#define STACK_DIRECTION $ac_cv_c_stack_direction +_ACEOF + + +fi + +{ $as_echo "$as_me:${as_lineno-13209}: checking for ANSI C header files" >&5 +$as_echo_n "checking for ANSI C header files... " >&6; } +if ${ac_cv_header_stdc+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <stdlib.h> +#include <stdarg.h> +#include <string.h> +#include <float.h> + +int +main () +{ + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "13229"; then : + ac_cv_header_stdc=yes +else + ac_cv_header_stdc=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + +if test $ac_cv_header_stdc = yes; then + # SunOS 4.x string.h does not declare mem*, contrary to ANSI. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <string.h> + +_ACEOF +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "memchr" >/dev/null 2>&1; then : + +else + ac_cv_header_stdc=no +fi +rm -f conftest* + +fi + +if test $ac_cv_header_stdc = yes; then + # ISC 2.0.2 stdlib.h does not declare free, contrary to ANSI. + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <stdlib.h> + +_ACEOF +if (eval "$ac_cpp conftest.$ac_ext") 2>&5 | + $EGREP "free" >/dev/null 2>&1; then : + +else + ac_cv_header_stdc=no +fi +rm -f conftest* + +fi + +if test $ac_cv_header_stdc = yes; then + # /bin/cc in Irix-4.0.5 gets non-ANSI ctype macros unless using -ansi. + if test "$cross_compiling" = yes; then : + : +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <ctype.h> +#include <stdlib.h> +#if ((' ' & 0x0FF) == 0x020) +# define ISLOWER(c) ('a' <= (c) && (c) <= 'z') +# define TOUPPER(c) (ISLOWER(c) ? 'A' + ((c) - 'a') : (c)) +#else +# define ISLOWER(c) \ + (('a' <= (c) && (c) <= 'i') \ + || ('j' <= (c) && (c) <= 'r') \ + || ('s' <= (c) && (c) <= 'z')) +# define TOUPPER(c) (ISLOWER(c) ? ((c) | 0x40) : (c)) +#endif + +#define XOR(e, f) (((e) && !(f)) || (!(e) && (f))) +int +main () +{ + int i; + for (i = 0; i < 256; i++) + if (XOR (islower (i), ISLOWER (i)) + || toupper (i) != TOUPPER (i)) + return 2; + return 0; +} +_ACEOF +if ac_fn_c_try_run "13302"; then : + +else + ac_cv_header_stdc=no +fi +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext +fi + +fi +fi +{ $as_echo "$as_me:${as_lineno-13313}: result: $ac_cv_header_stdc" >&5 +$as_echo "$ac_cv_header_stdc" >&6; } +if test $ac_cv_header_stdc = yes; then + +$as_echo "#define STDC_HEADERS 1" >>confdefs.h + +fi + +for ac_header in stdlib.h string.h sys/time.h +do : + as_ac_Header=`$as_echo "ac_cv_header_$ac_header" | $as_tr_sh` +ac_fn_c_check_header_mongrel "13324" "$ac_header" "$as_ac_Header" "$ac_includes_default" +if eval test \"x\$"$as_ac_Header"\" = x"yes"; then : + cat >>confdefs.h <<_ACEOF +#define `$as_echo "HAVE_$ac_header" | $as_tr_cpp` 1 +_ACEOF + +fi + +done + + +# Checks for typedefs, structures, and compiler characteristics. +{ $as_echo "$as_me:${as_lineno-13336}: checking for an ANSI C-conforming const" >&5 +$as_echo_n "checking for an ANSI C-conforming const... " >&6; } +if ${ac_cv_c_const+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ + +int +main () +{ +/* FIXME: Include the comments suggested by Paul. */ +#ifndef __cplusplus + /* Ultrix mips cc rejects this. */ + typedef int charset[2]; + const charset cs; + /* SunOS 4.1.1 cc rejects this. */ + char const *const *pcpcc; + char **ppc; + /* NEC SVR4.0.2 mips cc rejects this. */ + struct point {int x, y;}; + static struct point const zero = {0,0}; + /* AIX XL C 1.02.0.0 rejects this. + It does not let you subtract one const X* pointer from another in + an arm of an if-expression whose if-part is not a constant + expression */ + const char *g = "string"; + pcpcc = &g + (g ? g-g : 0); + /* HPUX 7.0 cc rejects these. */ + ++pcpcc; + ppc = (char**) pcpcc; + pcpcc = (char const *const *) ppc; + { /* SCO 3.2v4 cc rejects this. */ + char *t; + char const *s = 0 ? (char *) 0 : (char const *) 0; + + *t++ = 0; + if (s) return 0; + } + { /* Someone thinks the Sun supposedly-ANSI compiler will reject this. */ + int x[] = {25, 17}; + const int *foo = &x[0]; + ++foo; + } + { /* Sun SC1.0 ANSI compiler rejects this -- but not the above. */ + typedef const int *iptr; + iptr p = 0; + ++p; + } + { /* AIX XL C 1.02.0.0 rejects this saying + "k.c", line 2.27: 1506-025 (S) Operand must be a modifiable lvalue. */ + struct s { int j; const int *ap[3]; }; + struct s *b; b->j = 5; + } + { /* ULTRIX-32 V3.1 (Rev 9) vcc rejects this */ + const int foo = 10; + if (!foo) return 0; + } + return !cs[0] && !zero.x; +#endif + + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "13401"; then : + ac_cv_c_const=yes +else + ac_cv_c_const=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +{ $as_echo "$as_me:${as_lineno-13408}: result: $ac_cv_c_const" >&5 +$as_echo "$ac_cv_c_const" >&6; } +if test $ac_cv_c_const = no; then + +$as_echo "#define const /**/" >>confdefs.h + +fi + +{ $as_echo "$as_me:${as_lineno-13416}: checking for inline" >&5 +$as_echo_n "checking for inline... " >&6; } +if ${ac_cv_c_inline+:} false; then : + $as_echo_n "(cached) " >&6 +else + ac_cv_c_inline=no +for ac_kw in inline __inline__ __inline; do + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#ifndef __cplusplus +typedef int foo_t; +static $ac_kw foo_t static_foo () {return 0; } +$ac_kw foo_t foo () {return 0; } +#endif + +_ACEOF +if ac_fn_c_try_compile "13432"; then : + ac_cv_c_inline=$ac_kw +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext + test "$ac_cv_c_inline" != no && break +done + +fi +{ $as_echo "$as_me:${as_lineno-13440}: result: $ac_cv_c_inline" >&5 +$as_echo "$ac_cv_c_inline" >&6; } + +case $ac_cv_c_inline in + inline | yes) ;; + *) + case $ac_cv_c_inline in + no) ac_val=;; + *) ac_val=$ac_cv_c_inline;; + esac + cat >>confdefs.h <<_ACEOF +#ifndef __cplusplus +#define inline $ac_val +#endif +_ACEOF + ;; +esac + +ac_fn_c_check_type "13458" "size_t" "ac_cv_type_size_t" "$ac_includes_default" +if test "x$ac_cv_type_size_t" = xyes; then : + +else + +cat >>confdefs.h <<_ACEOF +#define size_t unsigned int +_ACEOF + +fi + +{ $as_echo "$as_me:${as_lineno-13469}: checking whether time.h and sys/time.h may both be included" >&5 +$as_echo_n "checking whether time.h and sys/time.h may both be included... " >&6; } +if ${ac_cv_header_time+:} false; then : + $as_echo_n "(cached) " >&6 +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#include <sys/types.h> +#include <sys/time.h> +#include <time.h> + +int +main () +{ +if ((struct tm *) 0) +return 0; + ; + return 0; +} +_ACEOF +if ac_fn_c_try_compile "13489"; then : + ac_cv_header_time=yes +else + ac_cv_header_time=no +fi +rm -f core conftest.err conftest.$ac_objext conftest.$ac_ext +fi +{ $as_echo "$as_me:${as_lineno-13496}: result: $ac_cv_header_time" >&5 +$as_echo "$ac_cv_header_time" >&6; } +if test $ac_cv_header_time = yes; then + +$as_echo "#define TIME_WITH_SYS_TIME 1" >>confdefs.h + +fi + + +with_enable_optimized="no" +# Check whether --enable-optimized was given. +if test "${enable_optimized+set}" = set; then : + enableval=$enable_optimized; with_enable_optimized="$withval" +else + with_enable_optimized="no" +fi + + + +with_safe_clean=n +# Check whether --enable-safe-clean was given. +if test "${enable_safe_clean+set}" = set; then : + enableval=$enable_safe_clean; with_safe_clean=y +else + with_safe_clean=n +fi + + +with_debug=n +# Check whether --enable-debug was given. +if test "${enable_debug+set}" = set; then : + enableval=$enable_debug; with_debug=y +else + with_debug=n +fi + + +CFLAGS="$CFLAGS -Wall -W -Wfloat-equal -Wpointer-arith -Wcast-align -Wstrict-prototypes -Wredundant-decls \ +-Wendif-labels -Wshadow -pipe -ffast-math -U__STRICT_ANSI__ -std=gnu99" +if test "$with_debug" == "y"; then + CFLAGS="$CFLAGS -g3 -O0" +elif test "$with_enable_optimized" != "no"; then + CFLAGS="$CFLAGS -g -O2" +else + CFLAGS="$CFLAGS -fomit-frame-pointer -O3" +fi + +if test "$with_safe_clean" != "n"; then + CFLAGS="$CFLAGS -DSAFE_CLEAN" +fi + +# Checks for library functions. +for ac_header in stdlib.h +do : + ac_fn_c_check_header_mongrel "13550" "stdlib.h" "ac_cv_header_stdlib_h" "$ac_includes_default" +if test "x$ac_cv_header_stdlib_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_STDLIB_H 1 +_ACEOF + +fi + +done + +{ $as_echo "$as_me:${as_lineno-13560}: checking for GNU libc compatible malloc" >&5 +$as_echo_n "checking for GNU libc compatible malloc... " >&6; } +if ${ac_cv_func_malloc_0_nonnull+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + ac_cv_func_malloc_0_nonnull=no +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#if defined STDC_HEADERS || defined HAVE_STDLIB_H +# include <stdlib.h> +#else +char *malloc (); +#endif + +int +main () +{ +return ! malloc (0); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_run "13584"; then : + ac_cv_func_malloc_0_nonnull=yes +else + ac_cv_func_malloc_0_nonnull=no +fi +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext +fi + +fi +{ $as_echo "$as_me:${as_lineno-13594}: result: $ac_cv_func_malloc_0_nonnull" >&5 +$as_echo "$ac_cv_func_malloc_0_nonnull" >&6; } +if test $ac_cv_func_malloc_0_nonnull = yes; then : + +$as_echo "#define HAVE_MALLOC 1" >>confdefs.h + +else + $as_echo "#define HAVE_MALLOC 0" >>confdefs.h + + case " $LIBOBJS " in + *" malloc.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS malloc.$ac_objext" + ;; +esac + + +$as_echo "#define malloc rpl_malloc" >>confdefs.h + +fi + + +for ac_header in stdlib.h +do : + ac_fn_c_check_header_mongrel "13617" "stdlib.h" "ac_cv_header_stdlib_h" "$ac_includes_default" +if test "x$ac_cv_header_stdlib_h" = xyes; then : + cat >>confdefs.h <<_ACEOF +#define HAVE_STDLIB_H 1 +_ACEOF + +fi + +done + +{ $as_echo "$as_me:${as_lineno-13627}: checking for GNU libc compatible realloc" >&5 +$as_echo_n "checking for GNU libc compatible realloc... " >&6; } +if ${ac_cv_func_realloc_0_nonnull+:} false; then : + $as_echo_n "(cached) " >&6 +else + if test "$cross_compiling" = yes; then : + ac_cv_func_realloc_0_nonnull=no +else + cat confdefs.h - <<_ACEOF >conftest.$ac_ext +/* end confdefs.h. */ +#if defined STDC_HEADERS || defined HAVE_STDLIB_H +# include <stdlib.h> +#else +char *realloc (); +#endif + +int +main () +{ +return ! realloc (0, 0); + ; + return 0; +} +_ACEOF +if ac_fn_c_try_run "13651"; then : + ac_cv_func_realloc_0_nonnull=yes +else + ac_cv_func_realloc_0_nonnull=no +fi +rm -f core *.core core.conftest.* gmon.out bb.out conftest$ac_exeext \ + conftest.$ac_objext conftest.beam conftest.$ac_ext +fi + +fi +{ $as_echo "$as_me:${as_lineno-13661}: result: $ac_cv_func_realloc_0_nonnull" >&5 +$as_echo "$ac_cv_func_realloc_0_nonnull" >&6; } +if test $ac_cv_func_realloc_0_nonnull = yes; then : + +$as_echo "#define HAVE_REALLOC 1" >>confdefs.h + +else + $as_echo "#define HAVE_REALLOC 0" >>confdefs.h + + case " $LIBOBJS " in + *" realloc.$ac_objext "* ) ;; + *) LIBOBJS="$LIBOBJS realloc.$ac_objext" + ;; +esac + + +$as_echo "#define realloc rpl_realloc" >>confdefs.h + +fi + + +for ac_func in floor gettimeofday memmove memset pow sqrt strchr strdup +do : + as_ac_var=`$as_echo "ac_cv_func_$ac_func" | $as_tr_sh` +ac_fn_c_check_func "13685" "$ac_func" "$as_ac_var" +if eval test \"x\$"$as_ac_var"\" = x"yes"; then : + cat >>confdefs.h <<_ACEOF +#define `$as_echo "HAVE_$ac_func" | $as_tr_cpp` 1 +_ACEOF + +fi +done + + +ac_config_files="$ac_config_files Makefile example/Makefile gen/Makefile" + +cat >confcache <<\_ACEOF +# This file is a shell script that caches the results of configure +# tests run on this system so they can be shared between configure +# scripts and configure runs, see configure's option --config-cache. +# It is not useful on other systems. If it contains results you don't +# want to keep, you may remove or edit it. +# +# config.status only pays attention to the cache file if you give it +# the --recheck option to rerun configure. +# +# `ac_cv_env_foo' variables (set or unset) will be overridden when +# loading this file, other *unset* `ac_cv_foo' will be assigned the +# following values. + +_ACEOF + +# The following way of writing the cache mishandles newlines in values, +# but we know of no workaround that is simple, portable, and efficient. +# So, we kill variables containing newlines. +# Ultrix sh set writes to stderr and can't be redirected directly, +# and sets the high bit in the cache file unless we assign to the vars. +( + for ac_var in `(set) 2>&1 | sed -n 's/^\([a-zA-Z_][a-zA-Z0-9_]*\)=.*/\1/p'`; do + eval ac_val=\$$ac_var + case $ac_val in #( + *${as_nl}*) + case $ac_var in #( + *_cv_*) { $as_echo "$as_me:${as_lineno-13724}: WARNING: cache variable $ac_var contains a newline" >&5 +$as_echo "$as_me: WARNING: cache variable $ac_var contains a newline" >&2;} ;; + esac + case $ac_var in #( + _ | IFS | as_nl) ;; #( + BASH_ARGV | BASH_SOURCE) eval $ac_var= ;; #( + *) { eval $ac_var=; unset $ac_var;} ;; + esac ;; + esac + done + + (set) 2>&1 | + case $as_nl`(ac_space=' '; set) 2>&1` in #( + *${as_nl}ac_space=\ *) + # `set' does not quote correctly, so add quotes: double-quote + # substitution turns \\\\ into \\, and sed turns \\ into \. + sed -n \ + "s/'/'\\\\''/g; + s/^\\([_$as_cr_alnum]*_cv_[_$as_cr_alnum]*\\)=\\(.*\\)/\\1='\\2'/p" + ;; #( + *) + # `set' quotes correctly as required by POSIX, so do not add quotes. + sed -n "/^[_$as_cr_alnum]*_cv_[_$as_cr_alnum]*=/p" + ;; + esac | + sort +) | + sed ' + /^ac_cv_env_/b end + t clear + :clear + s/^\([^=]*\)=\(.*[{}].*\)$/test "${\1+set}" = set || &/ + t end + s/^\([^=]*\)=\(.*\)$/\1=${\1=\2}/ + :end' >>confcache +if diff "$cache_file" confcache >/dev/null 2>&1; then :; else + if test -w "$cache_file"; then + if test "x$cache_file" != "x/dev/null"; then + { $as_echo "$as_me:${as_lineno-13762}: updating cache $cache_file" >&5 +$as_echo "$as_me: updating cache $cache_file" >&6;} + if test ! -f "$cache_file" || test -h "$cache_file"; then + cat confcache >"$cache_file" + else + case $cache_file in #( + */* | ?:*) + mv -f confcache "$cache_file"$$ && + mv -f "$cache_file"$$ "$cache_file" ;; #( + *) + mv -f confcache "$cache_file" ;; + esac + fi + fi + else + { $as_echo "$as_me:${as_lineno-13777}: not updating unwritable cache $cache_file" >&5 +$as_echo "$as_me: not updating unwritable cache $cache_file" >&6;} + fi +fi +rm -f confcache + +test "x$prefix" = xNONE && prefix=$ac_default_prefix +# Let make expand exec_prefix. +test "x$exec_prefix" = xNONE && exec_prefix='${prefix}' + +DEFS=-DHAVE_CONFIG_H + +ac_libobjs= +ac_ltlibobjs= +U= +for ac_i in : $LIBOBJS; do test "x$ac_i" = x: && continue + # 1. Remove the extension, and $U if already installed. + ac_script='s/\$U\././;s/\.o$//;s/\.obj$//' + ac_i=`$as_echo "$ac_i" | sed "$ac_script"` + # 2. Prepend LIBOBJDIR. When used with automake>=1.10 LIBOBJDIR + # will be set to the directory where LIBOBJS objects are built. + as_fn_append ac_libobjs " \${LIBOBJDIR}$ac_i\$U.$ac_objext" + as_fn_append ac_ltlibobjs " \${LIBOBJDIR}$ac_i"'$U.lo' +done +LIBOBJS=$ac_libobjs + +LTLIBOBJS=$ac_ltlibobjs + + + if test -n "$EXEEXT"; then + am__EXEEXT_TRUE= + am__EXEEXT_FALSE='#' +else + am__EXEEXT_TRUE='#' + am__EXEEXT_FALSE= +fi + +if test -z "${AMDEP_TRUE}" && test -z "${AMDEP_FALSE}"; then + as_fn_error $? "conditional \"AMDEP\" was never defined. +Usually this means the macro was only invoked conditionally." "13816" 5 +fi +if test -z "${am__fastdepCC_TRUE}" && test -z "${am__fastdepCC_FALSE}"; then + as_fn_error $? "conditional \"am__fastdepCC\" was never defined. +Usually this means the macro was only invoked conditionally." "13820" 5 +fi +if test -z "${am__fastdepCC_TRUE}" && test -z "${am__fastdepCC_FALSE}"; then + as_fn_error $? "conditional \"am__fastdepCC\" was never defined. +Usually this means the macro was only invoked conditionally." "13824" 5 +fi + +: "${CONFIG_STATUS=./config.status}" +ac_write_fail=0 +ac_clean_files_save=$ac_clean_files +ac_clean_files="$ac_clean_files $CONFIG_STATUS" +{ $as_echo "$as_me:${as_lineno-13831}: creating $CONFIG_STATUS" >&5 +$as_echo "$as_me: creating $CONFIG_STATUS" >&6;} +as_write_fail=0 +cat >$CONFIG_STATUS <<_ASEOF || as_write_fail=1 +#! $SHELL +# Generated by $as_me. +# Run this file to recreate the current configuration. +# Compiler output produced by configure, useful for debugging +# configure, is in config.log if it exists. + +debug=false +ac_cs_recheck=false +ac_cs_silent=false + +SHELL=\${CONFIG_SHELL-$SHELL} +export SHELL +_ASEOF +cat >>$CONFIG_STATUS <<\_ASEOF || as_write_fail=1 +## -------------------- ## +## M4sh Initialization. ## +## -------------------- ## + +# Be more Bourne compatible +DUALCASE=1; export DUALCASE # for MKS sh +if test -n "${ZSH_VERSION+set}" && (emulate sh) >/dev/null 2>&1; then : + emulate sh + NULLCMD=: + # Pre-4.2 versions of Zsh do word splitting on ${1+"$@"}, which + # is contrary to our usage. Disable this feature. + alias -g '${1+"$@"}'='"$@"' + setopt NO_GLOB_SUBST +else + case `(set -o) 2>/dev/null` in #( + *posix*) : + set -o posix ;; #( + *) : + ;; +esac +fi + + +as_nl=' +' +export as_nl +# Printing a long string crashes Solaris 7 /usr/bin/printf. +as_echo='\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\' +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo +as_echo=$as_echo$as_echo$as_echo$as_echo$as_echo$as_echo +# Prefer a ksh shell builtin over an external printf program on Solaris, +# but without wasting forks for bash or zsh. +if test -z "$BASH_VERSION$ZSH_VERSION" \ + && (test "X`print -r -- $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='print -r --' + as_echo_n='print -rn --' +elif (test "X`printf %s $as_echo`" = "X$as_echo") 2>/dev/null; then + as_echo='printf %s\n' + as_echo_n='printf %s' +else + if test "X`(/usr/ucb/echo -n -n $as_echo) 2>/dev/null`" = "X-n $as_echo"; then + as_echo_body='eval /usr/ucb/echo -n "$1$as_nl"' + as_echo_n='/usr/ucb/echo -n' + else + as_echo_body='eval expr "X$1" : "X\\(.*\\)"' + as_echo_n_body='eval + arg=$1; + case $arg in #( + *"$as_nl"*) + expr "X$arg" : "X\\(.*\\)$as_nl"; + arg=`expr "X$arg" : ".*$as_nl\\(.*\\)"`;; + esac; + expr "X$arg" : "X\\(.*\\)" | tr -d "$as_nl" + ' + export as_echo_n_body + as_echo_n='sh -c $as_echo_n_body as_echo' + fi + export as_echo_body + as_echo='sh -c $as_echo_body as_echo' +fi + +# The user is always right. +if test "${PATH_SEPARATOR+set}" != set; then + PATH_SEPARATOR=: + (PATH='/bin;/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 && { + (PATH='/bin:/bin'; FPATH=$PATH; sh -c :) >/dev/null 2>&1 || + PATH_SEPARATOR=';' + } +fi + + +# IFS +# We need space, tab and new line, in precisely that order. Quoting is +# there to prevent editors from complaining about space-tab. +# (If _AS_PATH_WALK were called with IFS unset, it would disable word +# splitting by setting IFS to empty value.) +IFS=" "" $as_nl" + +# Find who we are. Look in the path if we contain no directory separator. +as_myself= +case $0 in #(( + *[\\/]* ) as_myself=$0 ;; + *) as_save_IFS=$IFS; IFS=$PATH_SEPARATOR +for as_dir in $PATH +do + IFS=$as_save_IFS + test -z "$as_dir" && as_dir=. + test -r "$as_dir/$0" && as_myself=$as_dir/$0 && break + done +IFS=$as_save_IFS + + ;; +esac +# We did not find ourselves, most probably we were run as `sh COMMAND' +# in which case we are not to be found in the path. +if test "x$as_myself" = x; then + as_myself=$0 +fi +if test ! -f "$as_myself"; then + $as_echo "$as_myself: error: cannot find myself; rerun with an absolute file name" >&2 + exit 1 +fi + +# Unset variables that we do not need and which cause bugs (e.g. in +# pre-3.0 UWIN ksh). But do not cause bugs in bash 2.01; the "|| exit 1" +# suppresses any "Segmentation fault" message there. '((' could +# trigger a bug in pdksh 5.2.14. +for as_var in BASH_ENV ENV MAIL MAILPATH +do eval test x\${$as_var+set} = xset \ + && ( (unset $as_var) || exit 1) >/dev/null 2>&1 && unset $as_var || : +done +PS1='$ ' +PS2='> ' +PS4='+ ' + +# NLS nuisances. +LC_ALL=C +export LC_ALL +LANGUAGE=C +export LANGUAGE + +# CDPATH. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + + +# as_fn_error STATUS ERROR [LINENO LOG_FD] +# ---------------------------------------- +# Output "`basename $0`: error: ERROR" to stderr. If LINENO and LOG_FD are +# provided, also output the error to LOG_FD, referencing LINENO. Then exit the +# script with STATUS, using 1 if that was 0. +as_fn_error () +{ + as_status=$1; test $as_status -eq 0 && as_status=1 + if test "$4"; then + as_lineno=${as_lineno-"$3"} as_lineno_stack=as_lineno_stack=$as_lineno_stack + $as_echo "$as_me:${as_lineno-13984}: error: $2" >&$4 + fi + $as_echo "$as_me: error: $2" >&2 + as_fn_exit $as_status +} # as_fn_error + + +# as_fn_set_status STATUS +# ----------------------- +# Set $? to STATUS, without forking. +as_fn_set_status () +{ + return $1 +} # as_fn_set_status + +# as_fn_exit STATUS +# ----------------- +# Exit the shell with STATUS, even in a "trap 0" or "set -e" context. +as_fn_exit () +{ + set +e + as_fn_set_status $1 + exit $1 +} # as_fn_exit + +# as_fn_unset VAR +# --------------- +# Portably unset VAR. +as_fn_unset () +{ + { eval $1=; unset $1;} +} +as_unset=as_fn_unset +# as_fn_append VAR VALUE +# ---------------------- +# Append the text in VALUE to the end of the definition contained in VAR. Take +# advantage of any shell optimizations that allow amortized linear growth over +# repeated appends, instead of the typical quadratic growth present in naive +# implementations. +if (eval "as_var=1; as_var+=2; test x\$as_var = x12") 2>/dev/null; then : + eval 'as_fn_append () + { + eval $1+=\$2 + }' +else + as_fn_append () + { + eval $1=\$$1\$2 + } +fi # as_fn_append + +# as_fn_arith ARG... +# ------------------ +# Perform arithmetic evaluation on the ARGs, and store the result in the +# global $as_val. Take advantage of shells that can avoid forks. The arguments +# must be portable across $(()) and expr. +if (eval "test \$(( 1 + 1 )) = 2") 2>/dev/null; then : + eval 'as_fn_arith () + { + as_val=$(( $* )) + }' +else + as_fn_arith () + { + as_val=`expr "$@" || test $? -eq 1` + } +fi # as_fn_arith + + +if expr a : '\(a\)' >/dev/null 2>&1 && + test "X`expr 00001 : '.*\(...\)'`" = X001; then + as_expr=expr +else + as_expr=false +fi + +if (basename -- /) >/dev/null 2>&1 && test "X`basename -- / 2>&1`" = "X/"; then + as_basename=basename +else + as_basename=false +fi + +if (as_dir=`dirname -- /` && test "X$as_dir" = X/) >/dev/null 2>&1; then + as_dirname=dirname +else + as_dirname=false +fi + +as_me=`$as_basename -- "$0" || +$as_expr X/"$0" : '.*/\([^/][^/]*\)/*$' \| \ + X"$0" : 'X\(//\)$' \| \ + X"$0" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X/"$0" | + sed '/^.*\/\([^/][^/]*\)\/*$/{ + s//\1/ + q + } + /^X\/\(\/\/\)$/{ + s//\1/ + q + } + /^X\/\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + +# Avoid depending upon Character Ranges. +as_cr_letters='abcdefghijklmnopqrstuvwxyz' +as_cr_LETTERS='ABCDEFGHIJKLMNOPQRSTUVWXYZ' +as_cr_Letters=$as_cr_letters$as_cr_LETTERS +as_cr_digits='0123456789' +as_cr_alnum=$as_cr_Letters$as_cr_digits + +ECHO_C= ECHO_N= ECHO_T= +case `echo -n x` in #((((( +-n*) + case `echo 'xy\c'` in + *c*) ECHO_T=' ';; # ECHO_T is single tab character. + xy) ECHO_C='\c';; + *) echo `echo ksh88 bug on AIX 6.1` > /dev/null + ECHO_T=' ';; + esac;; +*) + ECHO_N='-n';; +esac + +rm -f conf$$ conf$$.exe conf$$.file +if test -d conf$$.dir; then + rm -f conf$$.dir/conf$$.file +else + rm -f conf$$.dir + mkdir conf$$.dir 2>/dev/null +fi +if (echo >conf$$.file) 2>/dev/null; then + if ln -s conf$$.file conf$$ 2>/dev/null; then + as_ln_s='ln -s' + # ... but there are two gotchas: + # 1) On MSYS, both `ln -s file dir' and `ln file dir' fail. + # 2) DJGPP < 2.04 has no symlinks; `ln -s' creates a wrapper executable. + # In both cases, we have to default to `cp -p'. + ln -s conf$$.file conf$$.dir 2>/dev/null && test ! -f conf$$.exe || + as_ln_s='cp -p' + elif ln conf$$.file conf$$ 2>/dev/null; then + as_ln_s=ln + else + as_ln_s='cp -p' + fi +else + as_ln_s='cp -p' +fi +rm -f conf$$ conf$$.exe conf$$.dir/conf$$.file conf$$.file +rmdir conf$$.dir 2>/dev/null + + +# as_fn_mkdir_p +# ------------- +# Create "$as_dir" as a directory, including parents if necessary. +as_fn_mkdir_p () +{ + + case $as_dir in #( + -*) as_dir=./$as_dir;; + esac + test -d "$as_dir" || eval $as_mkdir_p || { + as_dirs= + while :; do + case $as_dir in #( + *\'*) as_qdir=`$as_echo "$as_dir" | sed "s/'/'\\\\\\\\''/g"`;; #'( + *) as_qdir=$as_dir;; + esac + as_dirs="'$as_qdir' $as_dirs" + as_dir=`$as_dirname -- "$as_dir" || +$as_expr X"$as_dir" : 'X\(.*[^/]\)//*[^/][^/]*/*$' \| \ + X"$as_dir" : 'X\(//\)[^/]' \| \ + X"$as_dir" : 'X\(//\)$' \| \ + X"$as_dir" : 'X\(/\)' \| . 2>/dev/null || +$as_echo X"$as_dir" | + sed '/^X\(.*[^/]\)\/\/*[^/][^/]*\/*$/{ + s//\1/ + q + } + /^X\(\/\/\)[^/].*/{ + s//\1/ + q + } + /^X\(\/\/\)$/{ + s//\1/ + q + } + /^X\(\/\).*/{ + s//\1/ + q + } + s/.*/./; q'` + test -d "$as_dir" && break + done + test -z "$as_dirs" || eval "mkdir $as_dirs" + } || test -d "$as_dir" || as_fn_error $? "cannot create directory $as_dir" + + +} # as_fn_mkdir_p +if mkdir -p . 2>/dev/null; then + as_mkdir_p='mkdir -p "$as_dir"' +else + test -d ./-p && rmdir ./-p + as_mkdir_p=false +fi + +if test -x / >/dev/null 2>&1; then + as_test_x='test -x' +else + if ls -dL / >/dev/null 2>&1; then + as_ls_L_option=L + else + as_ls_L_option= + fi + as_test_x=' + eval sh -c '\'' + if test -d "$1"; then + test -d "$1/."; + else + case $1 in #( + -*)set "./$1";; + esac; + case `ls -ld'$as_ls_L_option' "$1" 2>/dev/null` in #(( + ???[sx]*):;;*)false;;esac;fi + '\'' sh + ' +fi +as_executable_p=$as_test_x + +# Sed expression to map a string onto a valid CPP name. +as_tr_cpp="eval sed 'y%*$as_cr_letters%P$as_cr_LETTERS%;s%[^_$as_cr_alnum]%_%g'" + +# Sed expression to map a string onto a valid variable name. +as_tr_sh="eval sed 'y%*+%pp%;s%[^_$as_cr_alnum]%_%g'" + + +exec 6>&1 +## ----------------------------------- ## +## Main body of $CONFIG_STATUS script. ## +## ----------------------------------- ## +_ASEOF +test $as_write_fail = 0 && chmod +x $CONFIG_STATUS || ac_write_fail=1 + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# Save the log message, to keep $0 and so on meaningful, and to +# report actual input values of CONFIG_FILES etc. instead of their +# values after options handling. +ac_log=" +This file was extended by pbc $as_me 0.5.14, which was +generated by GNU Autoconf 2.68. Invocation command line was + + CONFIG_FILES = $CONFIG_FILES + CONFIG_HEADERS = $CONFIG_HEADERS + CONFIG_LINKS = $CONFIG_LINKS + CONFIG_COMMANDS = $CONFIG_COMMANDS + $ $0 $@ + +on `(hostname || uname -n) 2>/dev/null | sed 1q` +" + +_ACEOF + +case $ac_config_files in *" +"*) set x $ac_config_files; shift; ac_config_files=$*;; +esac + +case $ac_config_headers in *" +"*) set x $ac_config_headers; shift; ac_config_headers=$*;; +esac + + +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +# Files that config.status was made for. +config_files="$ac_config_files" +config_headers="$ac_config_headers" +config_commands="$ac_config_commands" + +_ACEOF + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +ac_cs_usage="\ +\`$as_me' instantiates files and other configuration actions +from templates according to the current configuration. Unless the files +and actions are specified as TAGs, all are instantiated by default. + +Usage: $0 [OPTION]... [TAG]... + + -h, --help print this help, then exit + -V, --version print version number and configuration settings, then exit + --config print configuration, then exit + -q, --quiet, --silent + do not print progress messages + -d, --debug don't remove temporary files + --recheck update $as_me by reconfiguring in the same conditions + --file=FILE[:TEMPLATE] + instantiate the configuration file FILE + --header=FILE[:TEMPLATE] + instantiate the configuration header FILE + +Configuration files: +$config_files + +Configuration headers: +$config_headers + +Configuration commands: +$config_commands + +Report bugs to <blynn@cs.stanford.edu>." + +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +ac_cs_config="`$as_echo "$ac_configure_args" | sed 's/^ //; s/[\\""\`\$]/\\\\&/g'`" +ac_cs_version="\\ +pbc config.status 0.5.14 +configured by $0, generated by GNU Autoconf 2.68, + with options \\"\$ac_cs_config\\" + +Copyright (C) 2010 Free Software Foundation, Inc. +This config.status script is free software; the Free Software Foundation +gives unlimited permission to copy, distribute and modify it." + +ac_pwd='$ac_pwd' +srcdir='$srcdir' +INSTALL='$INSTALL' +MKDIR_P='$MKDIR_P' +AWK='$AWK' +test -n "\$AWK" || AWK=awk +_ACEOF + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +# The default lists apply if the user does not specify any file. +ac_need_defaults=: +while test $# != 0 +do + case $1 in + --*=?*) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg=`expr "X$1" : 'X[^=]*=\(.*\)'` + ac_shift=: + ;; + --*=) + ac_option=`expr "X$1" : 'X\([^=]*\)='` + ac_optarg= + ac_shift=: + ;; + *) + ac_option=$1 + ac_optarg=$2 + ac_shift=shift + ;; + esac + + case $ac_option in + # Handling of the options. + -recheck | --recheck | --rechec | --reche | --rech | --rec | --re | --r) + ac_cs_recheck=: ;; + --version | --versio | --versi | --vers | --ver | --ve | --v | -V ) + $as_echo "$ac_cs_version"; exit ;; + --config | --confi | --conf | --con | --co | --c ) + $as_echo "$ac_cs_config"; exit ;; + --debug | --debu | --deb | --de | --d | -d ) + debug=: ;; + --file | --fil | --fi | --f ) + $ac_shift + case $ac_optarg in + *\'*) ac_optarg=`$as_echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;; + '') as_fn_error $? "missing file argument" ;; + esac + as_fn_append CONFIG_FILES " '$ac_optarg'" + ac_need_defaults=false;; + --header | --heade | --head | --hea ) + $ac_shift + case $ac_optarg in + *\'*) ac_optarg=`$as_echo "$ac_optarg" | sed "s/'/'\\\\\\\\''/g"` ;; + esac + as_fn_append CONFIG_HEADERS " '$ac_optarg'" + ac_need_defaults=false;; + --he | --h) + # Conflict between --help and --header + as_fn_error $? "ambiguous option: \`$1' +Try \`$0 --help' for more information.";; + --help | --hel | -h ) + $as_echo "$ac_cs_usage"; exit ;; + -q | -quiet | --quiet | --quie | --qui | --qu | --q \ + | -silent | --silent | --silen | --sile | --sil | --si | --s) + ac_cs_silent=: ;; + + # This is an error. + -*) as_fn_error $? "unrecognized option: \`$1' +Try \`$0 --help' for more information." ;; + + *) as_fn_append ac_config_targets " $1" + ac_need_defaults=false ;; + + esac + shift +done + +ac_configure_extra_args= + +if $ac_cs_silent; then + exec 6>/dev/null + ac_configure_extra_args="$ac_configure_extra_args --silent" +fi + +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +if \$ac_cs_recheck; then + set X '$SHELL' '$0' $ac_configure_args \$ac_configure_extra_args --no-create --no-recursion + shift + \$as_echo "running CONFIG_SHELL=$SHELL \$*" >&6 + CONFIG_SHELL='$SHELL' + export CONFIG_SHELL + exec "\$@" +fi + +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +exec 5>>config.log +{ + echo + sed 'h;s/./-/g;s/^.../## /;s/...$/ ##/;p;x;p;x' <<_ASBOX +## Running $as_me. ## +_ASBOX + $as_echo "$ac_log" +} >&5 + +_ACEOF +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +# +# INIT-COMMANDS +# +AMDEP_TRUE="$AMDEP_TRUE" ac_aux_dir="$ac_aux_dir" + + +# The HP-UX ksh and POSIX shell print the target directory to stdout +# if CDPATH is set. +(unset CDPATH) >/dev/null 2>&1 && unset CDPATH + +sed_quote_subst='$sed_quote_subst' +double_quote_subst='$double_quote_subst' +delay_variable_subst='$delay_variable_subst' +macro_version='`$ECHO "$macro_version" | $SED "$delay_single_quote_subst"`' +macro_revision='`$ECHO "$macro_revision" | $SED "$delay_single_quote_subst"`' +enable_shared='`$ECHO "$enable_shared" | $SED "$delay_single_quote_subst"`' +enable_static='`$ECHO "$enable_static" | $SED "$delay_single_quote_subst"`' +pic_mode='`$ECHO "$pic_mode" | $SED "$delay_single_quote_subst"`' +enable_fast_install='`$ECHO "$enable_fast_install" | $SED "$delay_single_quote_subst"`' +SHELL='`$ECHO "$SHELL" | $SED "$delay_single_quote_subst"`' +ECHO='`$ECHO "$ECHO" | $SED "$delay_single_quote_subst"`' +PATH_SEPARATOR='`$ECHO "$PATH_SEPARATOR" | $SED "$delay_single_quote_subst"`' +host_alias='`$ECHO "$host_alias" | $SED "$delay_single_quote_subst"`' +host='`$ECHO "$host" | $SED 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+sharedlib_from_linklib_cmd='`$ECHO "$sharedlib_from_linklib_cmd" | $SED "$delay_single_quote_subst"`' +AR='`$ECHO "$AR" | $SED "$delay_single_quote_subst"`' +AR_FLAGS='`$ECHO "$AR_FLAGS" | $SED "$delay_single_quote_subst"`' +archiver_list_spec='`$ECHO "$archiver_list_spec" | $SED "$delay_single_quote_subst"`' +STRIP='`$ECHO "$STRIP" | $SED "$delay_single_quote_subst"`' +RANLIB='`$ECHO "$RANLIB" | $SED "$delay_single_quote_subst"`' +old_postinstall_cmds='`$ECHO "$old_postinstall_cmds" | $SED "$delay_single_quote_subst"`' +old_postuninstall_cmds='`$ECHO "$old_postuninstall_cmds" | $SED "$delay_single_quote_subst"`' +old_archive_cmds='`$ECHO "$old_archive_cmds" | $SED "$delay_single_quote_subst"`' +lock_old_archive_extraction='`$ECHO "$lock_old_archive_extraction" | $SED "$delay_single_quote_subst"`' +CC='`$ECHO "$CC" | $SED "$delay_single_quote_subst"`' +CFLAGS='`$ECHO "$CFLAGS" | $SED "$delay_single_quote_subst"`' +compiler='`$ECHO "$compiler" | $SED "$delay_single_quote_subst"`' 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+module_expsym_cmds='`$ECHO "$module_expsym_cmds" | $SED "$delay_single_quote_subst"`' +with_gnu_ld='`$ECHO "$with_gnu_ld" | $SED "$delay_single_quote_subst"`' +allow_undefined_flag='`$ECHO "$allow_undefined_flag" | $SED "$delay_single_quote_subst"`' +no_undefined_flag='`$ECHO "$no_undefined_flag" | $SED "$delay_single_quote_subst"`' +hardcode_libdir_flag_spec='`$ECHO "$hardcode_libdir_flag_spec" | $SED "$delay_single_quote_subst"`' +hardcode_libdir_separator='`$ECHO "$hardcode_libdir_separator" | $SED "$delay_single_quote_subst"`' +hardcode_direct='`$ECHO "$hardcode_direct" | $SED "$delay_single_quote_subst"`' +hardcode_direct_absolute='`$ECHO "$hardcode_direct_absolute" | $SED "$delay_single_quote_subst"`' +hardcode_minus_L='`$ECHO "$hardcode_minus_L" | $SED "$delay_single_quote_subst"`' +hardcode_shlibpath_var='`$ECHO "$hardcode_shlibpath_var" | $SED "$delay_single_quote_subst"`' +hardcode_automatic='`$ECHO "$hardcode_automatic" | $SED "$delay_single_quote_subst"`' +inherit_rpath='`$ECHO "$inherit_rpath" | $SED "$delay_single_quote_subst"`' +link_all_deplibs='`$ECHO "$link_all_deplibs" | $SED "$delay_single_quote_subst"`' +always_export_symbols='`$ECHO "$always_export_symbols" | $SED "$delay_single_quote_subst"`' +export_symbols_cmds='`$ECHO "$export_symbols_cmds" | $SED "$delay_single_quote_subst"`' +exclude_expsyms='`$ECHO "$exclude_expsyms" | $SED "$delay_single_quote_subst"`' +include_expsyms='`$ECHO "$include_expsyms" | $SED "$delay_single_quote_subst"`' +prelink_cmds='`$ECHO "$prelink_cmds" | $SED "$delay_single_quote_subst"`' +postlink_cmds='`$ECHO "$postlink_cmds" | $SED "$delay_single_quote_subst"`' +file_list_spec='`$ECHO "$file_list_spec" | $SED "$delay_single_quote_subst"`' +variables_saved_for_relink='`$ECHO "$variables_saved_for_relink" | $SED "$delay_single_quote_subst"`' +need_lib_prefix='`$ECHO "$need_lib_prefix" | $SED "$delay_single_quote_subst"`' +need_version='`$ECHO "$need_version" | $SED "$delay_single_quote_subst"`' +version_type='`$ECHO "$version_type" | $SED "$delay_single_quote_subst"`' +runpath_var='`$ECHO "$runpath_var" | $SED "$delay_single_quote_subst"`' +shlibpath_var='`$ECHO "$shlibpath_var" | $SED "$delay_single_quote_subst"`' +shlibpath_overrides_runpath='`$ECHO "$shlibpath_overrides_runpath" | $SED "$delay_single_quote_subst"`' +libname_spec='`$ECHO "$libname_spec" | $SED "$delay_single_quote_subst"`' +library_names_spec='`$ECHO "$library_names_spec" | $SED "$delay_single_quote_subst"`' +soname_spec='`$ECHO "$soname_spec" | $SED "$delay_single_quote_subst"`' +install_override_mode='`$ECHO "$install_override_mode" | $SED "$delay_single_quote_subst"`' +postinstall_cmds='`$ECHO "$postinstall_cmds" | $SED "$delay_single_quote_subst"`' +postuninstall_cmds='`$ECHO "$postuninstall_cmds" | $SED "$delay_single_quote_subst"`' +finish_cmds='`$ECHO "$finish_cmds" | $SED "$delay_single_quote_subst"`' +finish_eval='`$ECHO "$finish_eval" | $SED "$delay_single_quote_subst"`' +hardcode_into_libs='`$ECHO "$hardcode_into_libs" | $SED "$delay_single_quote_subst"`' +sys_lib_search_path_spec='`$ECHO "$sys_lib_search_path_spec" | $SED "$delay_single_quote_subst"`' +sys_lib_dlsearch_path_spec='`$ECHO "$sys_lib_dlsearch_path_spec" | $SED "$delay_single_quote_subst"`' +hardcode_action='`$ECHO "$hardcode_action" | $SED "$delay_single_quote_subst"`' +enable_dlopen='`$ECHO "$enable_dlopen" | $SED "$delay_single_quote_subst"`' +enable_dlopen_self='`$ECHO "$enable_dlopen_self" | $SED "$delay_single_quote_subst"`' +enable_dlopen_self_static='`$ECHO "$enable_dlopen_self_static" | $SED "$delay_single_quote_subst"`' +old_striplib='`$ECHO "$old_striplib" | $SED "$delay_single_quote_subst"`' +striplib='`$ECHO "$striplib" | $SED "$delay_single_quote_subst"`' +AS='`$ECHO "$AS" | $SED "$delay_single_quote_subst"`' + +LTCC='$LTCC' +LTCFLAGS='$LTCFLAGS' +compiler='$compiler_DEFAULT' + +# A function that is used when there is no print builtin or printf. +func_fallback_echo () +{ + eval 'cat <<_LTECHO_EOF +\$1 +_LTECHO_EOF' +} + +# Quote evaled strings. +for var in SHELL \ +ECHO \ +PATH_SEPARATOR \ +SED \ +GREP \ +EGREP \ +FGREP \ +LD \ +NM \ +LN_S \ +lt_SP2NL \ +lt_NL2SP \ +reload_flag \ +OBJDUMP \ +deplibs_check_method \ +file_magic_cmd \ +file_magic_glob \ +want_nocaseglob \ +DLLTOOL \ +sharedlib_from_linklib_cmd \ +AR \ +AR_FLAGS \ +archiver_list_spec \ +STRIP \ +RANLIB \ +CC \ +CFLAGS \ +compiler \ +lt_cv_sys_global_symbol_pipe \ +lt_cv_sys_global_symbol_to_cdecl \ +lt_cv_sys_global_symbol_to_c_name_address \ +lt_cv_sys_global_symbol_to_c_name_address_lib_prefix \ +nm_file_list_spec \ +lt_prog_compiler_no_builtin_flag \ +lt_prog_compiler_pic \ +lt_prog_compiler_wl \ +lt_prog_compiler_static \ +lt_cv_prog_compiler_c_o \ +need_locks \ +MANIFEST_TOOL \ +DSYMUTIL \ +NMEDIT \ +LIPO \ +OTOOL \ +OTOOL64 \ +shrext_cmds \ +export_dynamic_flag_spec \ +whole_archive_flag_spec \ +compiler_needs_object \ +with_gnu_ld \ +allow_undefined_flag \ +no_undefined_flag \ +hardcode_libdir_flag_spec \ +hardcode_libdir_separator \ +exclude_expsyms \ +include_expsyms \ +file_list_spec \ +variables_saved_for_relink \ +libname_spec \ +library_names_spec \ +soname_spec \ +install_override_mode \ +finish_eval \ +old_striplib \ +striplib \ +AS; do + case \`eval \\\\\$ECHO \\\\""\\\\\$\$var"\\\\"\` in + *[\\\\\\\`\\"\\\$]*) + eval "lt_\$var=\\\\\\"\\\`\\\$ECHO \\"\\\$\$var\\" | \\\$SED \\"\\\$sed_quote_subst\\"\\\`\\\\\\"" + ;; + *) + eval "lt_\$var=\\\\\\"\\\$\$var\\\\\\"" + ;; + esac +done + +# Double-quote double-evaled strings. +for var in reload_cmds \ +old_postinstall_cmds \ +old_postuninstall_cmds \ +old_archive_cmds \ +extract_expsyms_cmds \ +old_archive_from_new_cmds \ +old_archive_from_expsyms_cmds \ +archive_cmds \ +archive_expsym_cmds \ +module_cmds \ +module_expsym_cmds \ +export_symbols_cmds \ +prelink_cmds \ +postlink_cmds \ +postinstall_cmds \ +postuninstall_cmds \ +finish_cmds \ +sys_lib_search_path_spec \ +sys_lib_dlsearch_path_spec; do + case \`eval \\\\\$ECHO \\\\""\\\\\$\$var"\\\\"\` in + *[\\\\\\\`\\"\\\$]*) + eval "lt_\$var=\\\\\\"\\\`\\\$ECHO \\"\\\$\$var\\" | \\\$SED -e \\"\\\$double_quote_subst\\" -e \\"\\\$sed_quote_subst\\" -e \\"\\\$delay_variable_subst\\"\\\`\\\\\\"" + ;; + *) + eval "lt_\$var=\\\\\\"\\\$\$var\\\\\\"" + ;; + esac +done + +ac_aux_dir='$ac_aux_dir' +xsi_shell='$xsi_shell' +lt_shell_append='$lt_shell_append' + +# See if we are running on zsh, and set the options which allow our +# commands through without removal of \ escapes INIT. +if test -n "\${ZSH_VERSION+set}" ; then + setopt NO_GLOB_SUBST +fi + + + PACKAGE='$PACKAGE' + VERSION='$VERSION' + TIMESTAMP='$TIMESTAMP' + RM='$RM' + ofile='$ofile' + + + + +_ACEOF + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 + +# Handling of arguments. +for ac_config_target in $ac_config_targets +do + case $ac_config_target in + "config.h") CONFIG_HEADERS="$CONFIG_HEADERS config.h" ;; + "depfiles") CONFIG_COMMANDS="$CONFIG_COMMANDS depfiles" ;; + "libtool") CONFIG_COMMANDS="$CONFIG_COMMANDS libtool" ;; + "Makefile") CONFIG_FILES="$CONFIG_FILES Makefile" ;; + "example/Makefile") CONFIG_FILES="$CONFIG_FILES example/Makefile" ;; + "gen/Makefile") CONFIG_FILES="$CONFIG_FILES gen/Makefile" ;; + + *) as_fn_error $? "invalid argument: \`$ac_config_target'" "14716" 5;; + esac +done + + +# If the user did not use the arguments to specify the items to instantiate, +# then the envvar interface is used. Set only those that are not. +# We use the long form for the default assignment because of an extremely +# bizarre bug on SunOS 4.1.3. +if $ac_need_defaults; then + test "${CONFIG_FILES+set}" = set || CONFIG_FILES=$config_files + test "${CONFIG_HEADERS+set}" = set || CONFIG_HEADERS=$config_headers + test "${CONFIG_COMMANDS+set}" = set || CONFIG_COMMANDS=$config_commands +fi + +# Have a temporary directory for convenience. Make it in the build tree +# simply because there is no reason against having it here, and in addition, +# creating and moving files from /tmp can sometimes cause problems. +# Hook for its removal unless debugging. +# Note that there is a small window in which the directory will not be cleaned: +# after its creation but before its name has been assigned to `$tmp'. +$debug || +{ + tmp= ac_tmp= + trap 'exit_status=$? + : "${ac_tmp:=$tmp}" + { test ! -d "$ac_tmp" || rm -fr "$ac_tmp"; } && exit $exit_status +' 0 + trap 'as_fn_exit 1' 1 2 13 15 +} +# Create a (secure) tmp directory for tmp files. + +{ + tmp=`(umask 077 && mktemp -d "./confXXXXXX") 2>/dev/null` && + test -d "$tmp" +} || +{ + tmp=./conf$$-$RANDOM + (umask 077 && mkdir "$tmp") +} || as_fn_error $? "cannot create a temporary directory in ." "14755" 5 +ac_tmp=$tmp + +# Set up the scripts for CONFIG_FILES section. +# No need to generate them if there are no CONFIG_FILES. +# This happens for instance with `./config.status config.h'. +if test -n "$CONFIG_FILES"; then + + +ac_cr=`echo X | tr X '\015'` +# On cygwin, bash can eat \r inside `` if the user requested igncr. +# But we know of no other shell where ac_cr would be empty at this +# point, so we can use a bashism as a fallback. +if test "x$ac_cr" = x; then + eval ac_cr=\$\'\\r\' +fi +ac_cs_awk_cr=`$AWK 'BEGIN { print "a\rb" }' </dev/null 2>/dev/null` +if test "$ac_cs_awk_cr" = "a${ac_cr}b"; then + ac_cs_awk_cr='\\r' +else + ac_cs_awk_cr=$ac_cr +fi + +echo 'BEGIN {' >"$ac_tmp/subs1.awk" && +_ACEOF + + +{ + echo "cat >conf$$subs.awk <<_ACEOF" && + echo "$ac_subst_vars" | sed 's/.*/&!$&$ac_delim/' && + echo "_ACEOF" +} >conf$$subs.sh || + as_fn_error $? "could not make $CONFIG_STATUS" "14787" 5 +ac_delim_num=`echo "$ac_subst_vars" | grep -c '^'` +ac_delim='%!_!# ' +for ac_last_try in false false false false false :; do + . ./conf$$subs.sh || + as_fn_error $? "could not make $CONFIG_STATUS" "14792" 5 + + ac_delim_n=`sed -n "s/.*$ac_delim\$/X/p" conf$$subs.awk | grep -c X` + if test $ac_delim_n = $ac_delim_num; then + break + elif $ac_last_try; then + as_fn_error $? "could not make $CONFIG_STATUS" "14798" 5 + else + ac_delim="$ac_delim!$ac_delim _$ac_delim!! " + fi +done +rm -f conf$$subs.sh + +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +cat >>"\$ac_tmp/subs1.awk" <<\\_ACAWK && +_ACEOF +sed -n ' +h +s/^/S["/; s/!.*/"]=/ +p +g +s/^[^!]*!// +:repl +t repl +s/'"$ac_delim"'$// +t delim +:nl +h +s/\(.\{148\}\)..*/\1/ +t more1 +s/["\\]/\\&/g; s/^/"/; s/$/\\n"\\/ +p +n +b repl +:more1 +s/["\\]/\\&/g; s/^/"/; s/$/"\\/ +p +g +s/.\{148\}// +t nl +:delim +h +s/\(.\{148\}\)..*/\1/ +t more2 +s/["\\]/\\&/g; s/^/"/; s/$/"/ +p +b +:more2 +s/["\\]/\\&/g; s/^/"/; s/$/"\\/ +p +g +s/.\{148\}// +t delim +' <conf$$subs.awk | sed ' +/^[^""]/{ + N + s/\n// +} +' >>$CONFIG_STATUS || ac_write_fail=1 +rm -f conf$$subs.awk +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 +_ACAWK +cat >>"\$ac_tmp/subs1.awk" <<_ACAWK && + for (key in S) S_is_set[key] = 1 + FS = "" + +} +{ + line = $ 0 + nfields = split(line, field, "@") + substed = 0 + len = length(field[1]) + for (i = 2; i < nfields; i++) { + key = field[i] + keylen = length(key) + if (S_is_set[key]) { + value = S[key] + line = substr(line, 1, len) "" value "" substr(line, len + keylen + 3) + len += length(value) + length(field[++i]) + substed = 1 + } else + len += 1 + keylen + } + + print line +} + +_ACAWK +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +if sed "s/$ac_cr//" < /dev/null > /dev/null 2>&1; then + sed "s/$ac_cr\$//; s/$ac_cr/$ac_cs_awk_cr/g" +else + cat +fi < "$ac_tmp/subs1.awk" > "$ac_tmp/subs.awk" \ + || as_fn_error $? "could not setup config files machinery" "14887" 5 +_ACEOF + +# VPATH may cause trouble with some makes, so we remove sole $(srcdir), +# ${srcdir} and @srcdir@ entries from VPATH if srcdir is ".", strip leading and +# trailing colons and then remove the whole line if VPATH becomes empty +# (actually we leave an empty line to preserve line numbers). +if test "x$srcdir" = x.; then + ac_vpsub='/^[ ]*VPATH[ ]*=[ ]*/{ +h +s/// +s/^/:/ +s/[ ]*$/:/ +s/:\$(srcdir):/:/g +s/:\${srcdir}:/:/g +s/:@srcdir@:/:/g +s/^:*// +s/:*$// +x +s/\(=[ ]*\).*/\1/ +G +s/\n// +s/^[^=]*=[ ]*$// +}' +fi + +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 +fi # test -n "$CONFIG_FILES" + +# Set up the scripts for CONFIG_HEADERS section. +# No need to generate them if there are no CONFIG_HEADERS. +# This happens for instance with `./config.status Makefile'. +if test -n "$CONFIG_HEADERS"; then +cat >"$ac_tmp/defines.awk" <<\_ACAWK || +BEGIN { +_ACEOF + +# Transform confdefs.h into an awk script `defines.awk', embedded as +# here-document in config.status, that substitutes the proper values into +# config.h.in to produce config.h. + +# Create a delimiter string that does not exist in confdefs.h, to ease +# handling of long lines. +ac_delim='%!_!# ' +for ac_last_try in false false :; do + ac_tt=`sed -n "/$ac_delim/p" confdefs.h` + if test -z "$ac_tt"; then + break + elif $ac_last_try; then + as_fn_error $? "could not make $CONFIG_HEADERS" "14936" 5 + else + ac_delim="$ac_delim!$ac_delim _$ac_delim!! " + fi +done + +# For the awk script, D is an array of macro values keyed by name, +# likewise P contains macro parameters if any. Preserve backslash +# newline sequences. + +ac_word_re=[_$as_cr_Letters][_$as_cr_alnum]* +sed -n ' +s/.\{148\}/&'"$ac_delim"'/g +t rset +:rset +s/^[ ]*#[ ]*define[ ][ ]*/ / +t def +d +:def +s/\\$// +t bsnl +s/["\\]/\\&/g +s/^ \('"$ac_word_re"'\)\(([^()]*)\)[ ]*\(.*\)/P["\1"]="\2"\ +D["\1"]=" \3"/p +s/^ \('"$ac_word_re"'\)[ ]*\(.*\)/D["\1"]=" \2"/p +d +:bsnl +s/["\\]/\\&/g +s/^ \('"$ac_word_re"'\)\(([^()]*)\)[ ]*\(.*\)/P["\1"]="\2"\ +D["\1"]=" \3\\\\\\n"\\/p +t cont +s/^ \('"$ac_word_re"'\)[ ]*\(.*\)/D["\1"]=" \2\\\\\\n"\\/p +t cont +d +:cont +n +s/.\{148\}/&'"$ac_delim"'/g +t clear +:clear +s/\\$// +t bsnlc +s/["\\]/\\&/g; s/^/"/; s/$/"/p +d +:bsnlc +s/["\\]/\\&/g; s/^/"/; s/$/\\\\\\n"\\/p +b cont +' <confdefs.h | sed ' +s/'"$ac_delim"'/"\\\ +"/g' >>$CONFIG_STATUS || ac_write_fail=1 + +cat >>$CONFIG_STATUS <<_ACEOF || ac_write_fail=1 + for (key in D) D_is_set[key] = 1 + FS = "" +} +/^[\t ]*#[\t ]*(define|undef)[\t ]+$ac_word_re([\t (]|\$)/ { + line = \$ 0 + split(line, arg, " ") + if (arg[1] == "#") { + defundef = arg[2] + mac1 = arg[3] + } else { + defundef = substr(arg[1], 2) + mac1 = arg[2] + } + split(mac1, mac2, "(") #) + macro = mac2[1] + prefix = substr(line, 1, index(line, defundef) - 1) + if (D_is_set[macro]) { + # Preserve the white space surrounding the "#". + print prefix "define", macro P[macro] D[macro] + next + } else { + # Replace #undef with comments. This is necessary, for example, + # in the case of _POSIX_SOURCE, which is predefined and required + # on some systems where configure will not decide to define it. + if (defundef == "undef") { + print "/*", prefix defundef, macro, "*/" + next + } + } +} +{ print } +_ACAWK +_ACEOF +cat >>$CONFIG_STATUS <<\_ACEOF || ac_write_fail=1 + as_fn_error $? "could not setup config headers machinery" "15021" 5 +fi # test -n "$CONFIG_HEADERS" + + +eval set X " :F $CONFIG_FILES :H $CONFIG_HEADERS :C $CONFIG_COMMANDS" +shift +for ac_tag +do + case $ac_tag in + :[FHLC]) ac_mode=$ac_tag; continue;; + esac + case $ac_mode$ac_tag in + :[FHL]*:*);; + :L* | :C*:*) as_fn_error $? "invalid tag \`$ac_tag'" "15034" 5;; + :[FH]-) ac_tag=-:-;; + :[FH]*) ac_tag=$ac_tag:$ac_tag.in;; + esac + ac_save_IFS=$IFS + IFS=: + set x $ac_tag + IFS=$ac_save_IFS + shift + ac_file=$1 + shift + + case $ac_mode in + :L) ac_source=$1;; + :[FH]) + ac_file_inputs= + for ac_f + do + case $ac_f in + -) ac_f="$ac_tmp/stdin";; + *) # Look for the file first in the build tree, then in the source tree + # (if the path is not absolute). The absolute path cannot be DOS-style, + # because $ac_f cannot contain `:'. + test -f "$ac_f" || + case $ac_f in + [\\/$]*) false;; + *) test -f "$srcdir/$ac_f" && ac_f="$srcdir/$ac_f";; + esac || + as_fn_error 1 "cannot find input file: \`$ac_f'" "15062" 5;; + esac + case $ac_f in *\'*) ac_f=`$as_echo "$ac_f" | sed "s/'/'\\\\\\\\''/g"`;; esac + as_fn_append ac_file_inputs " '$ac_f'" + done + + # Let's still pretend it is `configure' which instantiates (i.e., don't + # use $as_me), people would be surprised to read: + # /* config.h. Generated by config.status. */ + configure_input='Generated from '` + $as_echo "$*" | sed 's|^[^:]*/||;s|:[^:]*/|, |g' + `' by configure.' + if test x"$ac_file" != x-; then + configure_input="$ac_file. $configure_input" + { $as_echo "$as_me:${as_lineno-15076}: creating $ac_file" >&5 +$as_echo "$as_me: creating $ac_file" >&6;} + fi + # Neutralize special characters interpreted by sed in replacement strings. + case $configure_input in #( + *\&* | *\|* | *\\* ) + ac_sed_conf_input=`$as_echo "$configure_input" | + sed 's/[\\\\&|]/\\\\&/g'`;; #( + *) ac_sed_conf_input=$configure_input;; + esac + + case $ac_tag in + *:-:* | *:-) cat >"$ac_tmp/stdin" \ + || as_fn_error $? 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First name is the real one, the rest are links. +# The last name is the one that the linker finds with -lNAME +library_names_spec=$lt_library_names_spec + +# The coded name of the library, if different from the real name. +soname_spec=$lt_soname_spec + +# Permission mode override for installation of shared libraries. +install_override_mode=$lt_install_override_mode + +# Command to use after installation of a shared archive. +postinstall_cmds=$lt_postinstall_cmds + +# Command to use after uninstallation of a shared archive. +postuninstall_cmds=$lt_postuninstall_cmds + +# Commands used to finish a libtool library installation in a directory. +finish_cmds=$lt_finish_cmds + +# As "finish_cmds", except a single script fragment to be evaled but +# not shown. +finish_eval=$lt_finish_eval + +# Whether we should hardcode library paths into libraries. +hardcode_into_libs=$hardcode_into_libs + +# Compile-time system search path for libraries. +sys_lib_search_path_spec=$lt_sys_lib_search_path_spec + +# Run-time system search path for libraries. +sys_lib_dlsearch_path_spec=$lt_sys_lib_dlsearch_path_spec + +# Whether dlopen is supported. +dlopen_support=$enable_dlopen + +# Whether dlopen of programs is supported. +dlopen_self=$enable_dlopen_self + +# Whether dlopen of statically linked programs is supported. +dlopen_self_static=$enable_dlopen_self_static + +# Commands to strip libraries. +old_striplib=$lt_old_striplib +striplib=$lt_striplib + +# Assembler program. +AS=$lt_AS + + +# The linker used to build libraries. +LD=$lt_LD + +# How to create reloadable object files. +reload_flag=$lt_reload_flag +reload_cmds=$lt_reload_cmds + +# Commands used to build an old-style archive. +old_archive_cmds=$lt_old_archive_cmds + +# A language specific compiler. +CC=$lt_compiler + +# Is the compiler the GNU compiler? +with_gcc=$GCC + +# Compiler flag to turn off builtin functions. +no_builtin_flag=$lt_lt_prog_compiler_no_builtin_flag + +# Additional compiler flags for building library objects. +pic_flag=$lt_lt_prog_compiler_pic + +# How to pass a linker flag through the compiler. +wl=$lt_lt_prog_compiler_wl + +# Compiler flag to prevent dynamic linking. +link_static_flag=$lt_lt_prog_compiler_static + +# Does compiler simultaneously support -c and -o options? +compiler_c_o=$lt_lt_cv_prog_compiler_c_o + +# Whether or not to add -lc for building shared libraries. +build_libtool_need_lc=$archive_cmds_need_lc + +# Whether or not to disallow shared libs when runtime libs are static. +allow_libtool_libs_with_static_runtimes=$enable_shared_with_static_runtimes + +# Compiler flag to allow reflexive dlopens. +export_dynamic_flag_spec=$lt_export_dynamic_flag_spec + +# Compiler flag to generate shared objects directly from archives. +whole_archive_flag_spec=$lt_whole_archive_flag_spec + +# Whether the compiler copes with passing no objects directly. +compiler_needs_object=$lt_compiler_needs_object + +# Create an old-style archive from a shared archive. +old_archive_from_new_cmds=$lt_old_archive_from_new_cmds + +# Create a temporary old-style archive to link instead of a shared archive. +old_archive_from_expsyms_cmds=$lt_old_archive_from_expsyms_cmds + +# Commands used to build a shared archive. +archive_cmds=$lt_archive_cmds +archive_expsym_cmds=$lt_archive_expsym_cmds + +# Commands used to build a loadable module if different from building +# a shared archive. +module_cmds=$lt_module_cmds +module_expsym_cmds=$lt_module_expsym_cmds + +# Whether we are building with GNU ld or not. +with_gnu_ld=$lt_with_gnu_ld + +# Flag that allows shared libraries with undefined symbols to be built. +allow_undefined_flag=$lt_allow_undefined_flag + +# Flag that enforces no undefined symbols. +no_undefined_flag=$lt_no_undefined_flag + +# Flag to hardcode \$libdir into a binary during linking. +# This must work even if \$libdir does not exist +hardcode_libdir_flag_spec=$lt_hardcode_libdir_flag_spec + +# Whether we need a single "-rpath" flag with a separated argument. +hardcode_libdir_separator=$lt_hardcode_libdir_separator + +# Set to "yes" if using DIR/libNAME\${shared_ext} during linking hardcodes +# DIR into the resulting binary. +hardcode_direct=$hardcode_direct + +# Set to "yes" if using DIR/libNAME\${shared_ext} during linking hardcodes +# DIR into the resulting binary and the resulting library dependency is +# "absolute",i.e impossible to change by setting \${shlibpath_var} if the +# library is relocated. +hardcode_direct_absolute=$hardcode_direct_absolute + +# Set to "yes" if using the -LDIR flag during linking hardcodes DIR +# into the resulting binary. +hardcode_minus_L=$hardcode_minus_L + +# Set to "yes" if using SHLIBPATH_VAR=DIR during linking hardcodes DIR +# into the resulting binary. +hardcode_shlibpath_var=$hardcode_shlibpath_var + +# Set to "yes" if building a shared library automatically hardcodes DIR +# into the library and all subsequent libraries and executables linked +# against it. +hardcode_automatic=$hardcode_automatic + +# Set to yes if linker adds runtime paths of dependent libraries +# to runtime path list. +inherit_rpath=$inherit_rpath + +# Whether libtool must link a program against all its dependency libraries. +link_all_deplibs=$link_all_deplibs + +# Set to "yes" if exported symbols are required. +always_export_symbols=$always_export_symbols + +# The commands to list exported symbols. +export_symbols_cmds=$lt_export_symbols_cmds + +# Symbols that should not be listed in the preloaded symbols. +exclude_expsyms=$lt_exclude_expsyms + +# Symbols that must always be exported. +include_expsyms=$lt_include_expsyms + +# Commands necessary for linking programs (against libraries) with templates. +prelink_cmds=$lt_prelink_cmds + +# Commands necessary for finishing linking programs. +postlink_cmds=$lt_postlink_cmds + +# Specify filename containing input files. +file_list_spec=$lt_file_list_spec + +# How to hardcode a shared library path into an executable. +hardcode_action=$hardcode_action + +# ### END LIBTOOL CONFIG + +_LT_EOF + + case $host_os in + aix3*) + cat <<\_LT_EOF >> "$cfgfile" +# AIX sometimes has problems with the GCC collect2 program. For some +# reason, if we set the COLLECT_NAMES environment variable, the problems +# vanish in a puff of smoke. +if test "X${COLLECT_NAMES+set}" != Xset; then + COLLECT_NAMES= + export COLLECT_NAMES +fi +_LT_EOF + ;; + esac + + +ltmain="$ac_aux_dir/ltmain.sh" + + + # We use sed instead of cat because bash on DJGPP gets confused if + # if finds mixed CR/LF and LF-only lines. Since sed operates in + # text mode, it properly converts lines to CR/LF. This bash problem + # is reportedly fixed, but why not run on old versions too? + sed '$q' "$ltmain" >> "$cfgfile" \ + || (rm -f "$cfgfile"; exit 1) + + if test x"$xsi_shell" = xyes; then + sed -e '/^func_dirname ()$/,/^} # func_dirname /c\ +func_dirname ()\ +{\ +\ case ${1} in\ +\ */*) func_dirname_result="${1%/*}${2}" ;;\ +\ * ) func_dirname_result="${3}" ;;\ +\ esac\ +} # Extended-shell func_dirname implementation' "$cfgfile" > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") +test 0 -eq $? || _lt_function_replace_fail=: + + + sed -e '/^func_basename ()$/,/^} # func_basename /c\ +func_basename ()\ +{\ +\ func_basename_result="${1##*/}"\ +} # Extended-shell func_basename implementation' "$cfgfile" > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") +test 0 -eq $? || _lt_function_replace_fail=: + + + sed -e '/^func_dirname_and_basename ()$/,/^} # func_dirname_and_basename /c\ +func_dirname_and_basename ()\ +{\ +\ case ${1} in\ +\ */*) func_dirname_result="${1%/*}${2}" ;;\ +\ * ) func_dirname_result="${3}" ;;\ +\ esac\ +\ func_basename_result="${1##*/}"\ +} # Extended-shell func_dirname_and_basename implementation' "$cfgfile" > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") +test 0 -eq $? || _lt_function_replace_fail=: + + + sed -e '/^func_stripname ()$/,/^} # func_stripname /c\ +func_stripname ()\ +{\ +\ # pdksh 5.2.14 does not do ${X%$Y} correctly if both X and Y are\ +\ # positional parameters, so assign one to ordinary parameter first.\ +\ func_stripname_result=${3}\ +\ func_stripname_result=${func_stripname_result#"${1}"}\ +\ func_stripname_result=${func_stripname_result%"${2}"}\ +} # Extended-shell func_stripname implementation' "$cfgfile" > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") +test 0 -eq $? || _lt_function_replace_fail=: + + + sed -e '/^func_split_long_opt ()$/,/^} # func_split_long_opt /c\ +func_split_long_opt ()\ +{\ +\ func_split_long_opt_name=${1%%=*}\ +\ func_split_long_opt_arg=${1#*=}\ +} # Extended-shell func_split_long_opt implementation' "$cfgfile" > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") +test 0 -eq $? || _lt_function_replace_fail=: + + + sed -e '/^func_split_short_opt ()$/,/^} # func_split_short_opt /c\ +func_split_short_opt ()\ +{\ +\ func_split_short_opt_arg=${1#??}\ +\ func_split_short_opt_name=${1%"$func_split_short_opt_arg"}\ +} # Extended-shell func_split_short_opt implementation' "$cfgfile" > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") +test 0 -eq $? || _lt_function_replace_fail=: + + + sed -e '/^func_lo2o ()$/,/^} # func_lo2o /c\ +func_lo2o ()\ +{\ +\ case ${1} in\ +\ *.lo) func_lo2o_result=${1%.lo}.${objext} ;;\ +\ *) func_lo2o_result=${1} ;;\ +\ esac\ +} # Extended-shell func_lo2o implementation' "$cfgfile" > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") +test 0 -eq $? || _lt_function_replace_fail=: + + + sed -e '/^func_xform ()$/,/^} # func_xform /c\ +func_xform ()\ +{\ + func_xform_result=${1%.*}.lo\ +} # Extended-shell func_xform implementation' "$cfgfile" > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") +test 0 -eq $? || _lt_function_replace_fail=: + + + sed -e '/^func_arith ()$/,/^} # func_arith /c\ +func_arith ()\ +{\ + func_arith_result=$(( $* ))\ +} # Extended-shell func_arith implementation' "$cfgfile" > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") +test 0 -eq $? || _lt_function_replace_fail=: + + + sed -e '/^func_len ()$/,/^} # func_len /c\ +func_len ()\ +{\ + func_len_result=${#1}\ +} # Extended-shell func_len implementation' "$cfgfile" > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") +test 0 -eq $? || _lt_function_replace_fail=: + +fi + +if test x"$lt_shell_append" = xyes; then + sed -e '/^func_append ()$/,/^} # func_append /c\ +func_append ()\ +{\ + eval "${1}+=\\${2}"\ +} # Extended-shell func_append implementation' "$cfgfile" > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") +test 0 -eq $? || _lt_function_replace_fail=: + + + sed -e '/^func_append_quoted ()$/,/^} # func_append_quoted /c\ +func_append_quoted ()\ +{\ +\ func_quote_for_eval "${2}"\ +\ eval "${1}+=\\\\ \\$func_quote_for_eval_result"\ +} # Extended-shell func_append_quoted implementation' "$cfgfile" > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") +test 0 -eq $? || _lt_function_replace_fail=: + + + # Save a `func_append' function call where possible by direct use of '+=' + sed -e 's%func_append \([a-zA-Z_]\{1,\}\) "%\1+="%g' $cfgfile > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") + test 0 -eq $? || _lt_function_replace_fail=: +else + # Save a `func_append' function call even when '+=' is not available + sed -e 's%func_append \([a-zA-Z_]\{1,\}\) "%\1="$\1%g' $cfgfile > $cfgfile.tmp \ + && mv -f "$cfgfile.tmp" "$cfgfile" \ + || (rm -f "$cfgfile" && cp "$cfgfile.tmp" "$cfgfile" && rm -f "$cfgfile.tmp") + test 0 -eq $? || _lt_function_replace_fail=: +fi + +if test x"$_lt_function_replace_fail" = x":"; then + { $as_echo "$as_me:${as_lineno-16028}: WARNING: Unable to substitute extended shell functions in $ofile" >&5 +$as_echo "$as_me: WARNING: Unable to substitute extended shell functions in $ofile" >&2;} +fi + + + mv -f "$cfgfile" "$ofile" || + (rm -f "$ofile" && cp "$cfgfile" "$ofile" && rm -f "$cfgfile") + chmod +x "$ofile" + + ;; + + esac +done # for ac_tag + + +as_fn_exit 0 +_ACEOF +ac_clean_files=$ac_clean_files_save + +test $ac_write_fail = 0 || + as_fn_error $? "write failure creating $CONFIG_STATUS" "16048" 5 + + +# configure is writing to config.log, and then calls config.status. +# config.status does its own redirection, appending to config.log. +# Unfortunately, on DOS this fails, as config.log is still kept open +# by configure, so config.status won't be able to write to it; its +# output is simply discarded. So we exec the FD to /dev/null, +# effectively closing config.log, so it can be properly (re)opened and +# appended to by config.status. When coming back to configure, we +# need to make the FD available again. +if test "$no_create" != yes; then + ac_cs_success=: + ac_config_status_args= + test "$silent" = yes && + ac_config_status_args="$ac_config_status_args --quiet" + exec 5>/dev/null + $SHELL $CONFIG_STATUS $ac_config_status_args || ac_cs_success=false + exec 5>>config.log + # Use ||, not &&, to avoid exiting from the if with $? = 1, which + # would make configure fail if this is the last instruction. + $ac_cs_success || as_fn_exit 1 +fi +if test -n "$ac_unrecognized_opts" && test "$enable_option_checking" != no; then + { $as_echo "$as_me:${as_lineno-16072}: WARNING: unrecognized options: $ac_unrecognized_opts" >&5 +$as_echo "$as_me: WARNING: unrecognized options: $ac_unrecognized_opts" >&2;} +fi + + +echo -ne "\n" +echo "global build variables" +echo "-----------------------------------------" +echo `date` +echo "host info: $host" +echo "optimized build: $with_enable_optimized" +echo "compiler (CC): $CC" +echo "LDFLAGS: $LDFLAGS" +echo "CPPFLAGS: $CPPFLAGS" +echo "CFLAGS: $CFLAGS" +echo "LEX: $LEX" +echo "AM_LFLAGS: $AM_LFLAGS" +echo "LFLAGS: $LFLAGS" +echo "YACC: $YACC" +echo "AM_YFLAGS: $AM_YFLAGS" +echo "YFLAGS: $YFLAGS" +echo "-----------------------------------------" +echo -ne "\n" + + + diff --git a/moon-abe/pbc-0.5.14/debian/.gitignore b/moon-abe/pbc-0.5.14/debian/.gitignore new file mode 100644 index 00000000..6bb833b9 --- /dev/null +++ b/moon-abe/pbc-0.5.14/debian/.gitignore @@ -0,0 +1,10 @@ +libpbc +libpbc0 +files +libpbc.substvars +libpbc-dev +libpbc0.postinst.debhelper +libpbc0.postrm.debhelper +libpbc0.substvars +libpbc-dev.substvars +*.log diff --git a/moon-abe/pbc-0.5.14/debian/README.Debian b/moon-abe/pbc-0.5.14/debian/README.Debian new file mode 100644 index 00000000..a660a0f1 --- /dev/null +++ b/moon-abe/pbc-0.5.14/debian/README.Debian @@ -0,0 +1,6 @@ +libpbc for Debian +----------------- + +<possible notes regarding this package - if none, delete this file> + + -- Paul Miller <jettero@gmail.com> Wed, 02 Jan 2008 07:00:03 -0500 diff --git a/moon-abe/pbc-0.5.14/debian/changelog b/moon-abe/pbc-0.5.14/debian/changelog new file mode 100644 index 00000000..1e587ae8 --- /dev/null +++ b/moon-abe/pbc-0.5.14/debian/changelog @@ -0,0 +1,137 @@ +libpbc (0.5.10) unstable; urgency=low + + * GIT DIFF STAT (from 0.5.9 to 0.5.10): + * NEWS | 4 +++ + * configure.ac | 2 +- + * debian/.gitignore | 1 + + * debian/changelog | 57 +++++++++++++++++++++++++++++++++++++++++++++++ + * debian/control | 8 +++--- + * debian/copyright | 6 ++-- + * debian/mv_things.sh | 8 +++++- + * doc/Makefile | 2 +- + * doc/preface.txt | 2 +- + * ecc/pairing.c | 14 ++++++----- + * guru/prodpairing_test.c | 44 ++++++++++++++++++++++++++++++++++++ + * include/pbc_pairing.h | 4 +-- + * makedeb.sh | 8 ------ + * simple.make | 19 ++++++++++++++- + * test | 21 +++++++++++----- + * 15 files changed, 163 insertions(+), 37 deletions(-) + + -- Paul Miller <jettero@cpan.org> Sun, 24 Oct 2010 07:36:53 -0400 + +libpbc (0.5.9) unstable; urgency=low + + * GIT DIFF STAT (from 0.5.8 to 0.5.9): + * NEWS | 5 +++++ + * arith/field.c | 10 ++++++++-- + * configure.ac | 2 +- + * debian/.gitignore | 1 + + * debian/changelog | 38 ++++++++++++++++++++++++++++++++++++++ + * debian/control | 8 ++++---- + * debian/copyright | 6 +++--- + * debian/mv_things.sh | 8 ++++++-- + * doc/preface.txt | 2 +- + * ecc/pairing.c | 4 +--- + * include/pbc_pairing.h | 4 ---- + * makedeb.sh | 8 -------- + * 12 files changed, 68 insertions(+), 28 deletions(-) + + -- Paul Miller <jettero@cpan.org> Fri, 22 Oct 2010 09:12:15 -0400 + +libpbc (0.5.8) unstable; urgency=low + + * GIT DIFF STAT (from 0.5.7-1): + * COPYING | 827 +++++++++++-------------------------------------------- + * NEWS | 4 + + * configure.ac | 2 +- + * doc/preface.txt | 2 +- + * 4 files changed, 165 insertions(+), 670 deletions(-) + + -- Paul Miller <jettero@cpan.org> Mon, 17 May 2010 20:21:34 -0400 + +libpbc (0.5.7-1) unstable; urgency=low + + * Bugfixes and speadups + * a couple new functions + + -- Paul Miller <jettero@gmail.com> Mon, 25 Jan 2010 08:47:00 -0500 + +libpbc (0.5.6-1) unstable; urgency=low + + * Projective coordinates for A1 pairings. Contributed by Zhang Ye. + * Bugfix for affine coordinates for A pairings. Contributed by Zhang Ye. + * Optionally suppress error messages. Based on code by Geremy Condra. + + -- Paul Miller <jettero@gmail.com> Mon, 9 Nov 2009 07:05:00 -0500 + +libpbc (0.5.5-2) unstable; urgency=low + + * Trying out the new bison/flex rules in configure.ac + + -- Paul Miller <jettero@gmail.com> Thu, 15 Aug 2009 09:41:00 -0400 + +libpbc (0.5.5-1) unstable; urgency=low + + * Bugfixes, et al + + -- Paul Miller <jettero@gmail.com> Thu, 15 Aug 2009 09:41:00 -0400 + +libpbc (0.5.4-1) unstable; urgency=low + + * * Accessors for coordinates of points and coefficients of polynomials. + + -- Paul Miller <jettero@gmail.com> Mon, 24 Aug 2009 21:27:00 -0400 + +libpbc (0.5.3-1) unstable; urgency=low + + * Revamped pairing-based calculator. + + -- Paul Miller <jettero@gmail.com> Mon, 17 Aug 2009 16:00:00 -0400 + +libpbc (0.5.2-1) unstable; urgency=low + + * Fixed pbc_param_set_str(). + * Add DLL to Windows release. + + -- Paul Miller <jettero@gmail.com> Wed, 05 Aug 2009 14:53:00 -0400 + +libpbc (0.5.1-2) unstable; urgency=low + + * pulled in the actual 0.5.1 files for this pack job + + -- Paul Miller <jettero@gmail.com> Thu, 30 Jul 2009 13:10:00 -0400 + +libpbc (0.5.1-1) unstable; urgency=low + + * bugfixes for the new param init stuff + + -- Paul Miller <jettero@gmail.com> Wed, 29 Jul 2009 20:50:00 -0400 + +libpbc (0.5.0-1) unstable; urgency=low + + * init and pairing params changes + * refactored the API a bit, removed various things, exposed some things + * refactored to avoid symbol pollution. + + -- Paul Miller <jettero@gmail.com> Wed, 29 Jul 2009 08:57:00 -0400 + +libpbc (0.4.19-1) unstable; urgency=low + + * I decided to roll this into libpbc on gibhub. + + -- Paul Miller <jettero@gmail.com> Wed, 06 May 2009 14:43:00 -0400 + +libpbc (0.4.18-1) unstable; urgency=low + + * I have my doubts about whether this will fix the bug I've been waiting on + for over a year, but I might as well build the thing. + + -- Paul Miller <jettero@gmail.com> Sat, 05 Jul 2008 07:05:00 -0400 + +libpbc (0.4.12-2) unstable; urgency=low + + * yeah, I did the -1 revision totally wrong, this'll probably be 100% better. + + -- Paul Miller <jettero@gmail.com> Wed, 02 Jan 2008 07:00:03 -0500 + diff --git a/moon-abe/pbc-0.5.14/debian/compat b/moon-abe/pbc-0.5.14/debian/compat new file mode 100644 index 00000000..7ed6ff82 --- /dev/null +++ b/moon-abe/pbc-0.5.14/debian/compat @@ -0,0 +1 @@ +5 diff --git a/moon-abe/pbc-0.5.14/debian/control b/moon-abe/pbc-0.5.14/debian/control new file mode 100644 index 00000000..219ed4d1 --- /dev/null +++ b/moon-abe/pbc-0.5.14/debian/control @@ -0,0 +1,54 @@ +Source: libpbc +Priority: extra +Maintainer: Paul Miller <jettero@gmail.com> +Build-Depends: debhelper (>= 5), autotools-dev, gentoo-functions, libreadline-dev +Standards-Version: 3.7.2 +Section: libs + +Package: libpbc-dev +Section: libdevel +Architecture: any +Depends: libpbc0 (= ${Source-Version}) +Description: Pairing-Based Cryptography Library + Pairing-based cryptography is a relatively young area of cryptography that + revolves around a certain function with special properties. + The PBC (Pairing-Based Cryptography) library is a free C library (released + under the Lesser GNU Public License) built on the GMP library that performs + the mathematical operations underlying pairing-based cryptosystem. + The PBC library is designed to be the backbone of implementations of + pairing-based cryptosystems, thus speed and portability are important goals. + It provides routines such as elliptic curve generation, elliptic curve + arithmetic and pairing computation. Thanks to the GMP library, despite being + written in C, pairings times are reasonable. + The API is abstract enough that the PBC library can be used even if the + programmer possesses only an elementary understanding of pairings. There is + no need to learn about elliptic curves or much of number theory. (The minimum + requirement is some knowledge of cyclic groups and properties of the + pairing.) + This tutorial shows how to implement a pairing-based cryptosystem in a few + lines using the PBC library. + The PBC library can also be used to build conventional cryptosystems. + +Package: libpbc0 +Section: libs +Architecture: any +Depends: ${shlibs:Depends} +Description: Pairing-Based Cryptography Library + Pairing-based cryptography is a relatively young area of cryptography that + revolves around a certain function with special properties. + The PBC (Pairing-Based Cryptography) library is a free C library (released + under the Lesser GNU Public License) built on the GMP library that performs + the mathematical operations underlying pairing-based cryptosystem. + The PBC library is designed to be the backbone of implementations of + pairing-based cryptosystems, thus speed and portability are important goals. + It provides routines such as elliptic curve generation, elliptic curve + arithmetic and pairing computation. Thanks to the GMP library, despite being + written in C, pairings times are reasonable. + The API is abstract enough that the PBC library can be used even if the + programmer possesses only an elementary understanding of pairings. There is + no need to learn about elliptic curves or much of number theory. (The minimum + requirement is some knowledge of cyclic groups and properties of the + pairing.) + This tutorial shows how to implement a pairing-based cryptosystem in a few + lines using the PBC library. + The PBC library can also be used to build conventional cryptosystems. diff --git a/moon-abe/pbc-0.5.14/debian/copyright b/moon-abe/pbc-0.5.14/debian/copyright new file mode 100644 index 00000000..f3f43f76 --- /dev/null +++ b/moon-abe/pbc-0.5.14/debian/copyright @@ -0,0 +1,19 @@ +This package was debianized by Paul Miller <jettero@gmail.com> on +Wed, 02 Jan 2008 07:00:03 -0500. + +It was downloaded from <http://crypto.stanford.edu/pbc/> + +Upstream Author(s): + + Ben Lynn <http://crypto.stanford.edu/~blynn/> + +Copyright: + + <Copyright (C) 2010 Ben Lynn of Stanford> + +License: + + LGPL + +The Debian packaging is (C) 2010, Paul Miller <jettero@gmail.com> and +is licensed under the GPL, see `/usr/share/common-licenses/GPL'. diff --git a/moon-abe/pbc-0.5.14/debian/docs b/moon-abe/pbc-0.5.14/debian/docs new file mode 100644 index 00000000..50bd824b --- /dev/null +++ b/moon-abe/pbc-0.5.14/debian/docs @@ -0,0 +1,2 @@ +NEWS +README diff --git a/moon-abe/pbc-0.5.14/debian/mv_things.sh b/moon-abe/pbc-0.5.14/debian/mv_things.sh new file mode 100644 index 00000000..9d6f248e --- /dev/null +++ b/moon-abe/pbc-0.5.14/debian/mv_things.sh @@ -0,0 +1,53 @@ +#!/bin/bash + +# this is all from my ebuild (no doi) + +function die() { + echo mv_things.sh ERROR + exit 1 +} + +if [ -z "$1" ]; then + echo "no dest dir given?" + exit 1 +fi + +D=$1 +Ex=${D}/usr/share/doc/libpbc0/examples/ +Ox=`pwd` +mkdir -p ${Ex}/src + +echo "installing examples to ${Ex}" + +install -o 0 -g 0 -m 755 gen/genalldparams ${Ex} || die +install -o 0 -g 0 -m 755 benchmark/report_times ${Ex}/run_tests || die + +cp -r param/ ${Ex}/ || die +cp {pbc,benchmark,gen,example}/*.c ${Ex}/src || die +rm ${Ex}/src/*.readline.c || die + +find ${Ex} -type d -exec chmod 755 {} \; || die +find ${Ex} -type f -exec chmod 644 {} \; || die + +#install -o 0 -g 0 -m 644 exmakefile ${Ex}/src/Makefile +install -o 0 -g 0 -m 755 -d ${D}/usr/bin/ || die + +echo "building a real pbc" +(cd pbc; gcc -c pbc_getline.readline.c) +gcc -o realpbc -I. -Iinclude pbc/pbc.c -L .libs -lpbc pbc/pbc_getline.readline.o -lreadline pbc_pbc-symtab.o pbc_pbc-parser.tab.o pbc_pbc-darray.o pbc_pbc-lex.yy.o + +echo "installing the pbc binary" +install -o 0 -g 0 -m 755 realpbc ${D}/usr/bin/pbc || die +rm realpbc + +DEV=`echo ${D}-dev | sed s/libpbc0-dev/libpbc-dev/` +mkdir -p ${DEV}/usr/share/doc/libpbc0 +mkdir -p ${DEV}/usr/include +mkdir -p ${DEV}/usr/bin +mkdir -p ${DEV}/usr/lib + +mv ${D}/usr/lib/* ${DEV}/usr/lib +mv ${DEV}/usr/lib/libpbc*.so.* ${D}/usr/lib +mv ${D}/usr/include/pbc ${DEV}/usr/include/ +mv ${D}/usr/bin/pbc ${DEV}/usr/bin/ +mv ${D}/usr/share/doc/libpbc0/examples ${DEV}/usr/share/doc diff --git a/moon-abe/pbc-0.5.14/debian/rules b/moon-abe/pbc-0.5.14/debian/rules new file mode 100644 index 00000000..3bd1829b --- /dev/null +++ b/moon-abe/pbc-0.5.14/debian/rules @@ -0,0 +1,117 @@ +#!/usr/bin/make -f +# -*- makefile -*- +# Sample debian/rules that uses debhelper. +# This file was originally written by Joey Hess and Craig Small. +# As a special exception, when this file is copied by dh-make into a +# dh-make output file, you may use that output file without restriction. +# This special exception was added by Craig Small in version 0.37 of dh-make. + +# Uncomment this to turn on verbose mode. +#export DH_VERBOSE=1 + + +# These are used for cross-compiling and for saving the configure script +# from having to guess our platform (since we know it already) +DEB_HOST_GNU_TYPE ?= $(shell dpkg-architecture -qDEB_HOST_GNU_TYPE) +DEB_BUILD_GNU_TYPE ?= $(shell dpkg-architecture -qDEB_BUILD_GNU_TYPE) +SHELL=/bin/bash + + +CFLAGS = -Wall -g + +ifneq (,$(findstring noopt,$(DEB_BUILD_OPTIONS))) + CFLAGS += -O0 +else + CFLAGS += -O2 +endif + +# shared library versions, option 1 +version=2.0.5 +major=2 +# option 2, assuming the library is created as src/.libs/libfoo.so.2.0.5 or so +#version=`ls src/.libs/lib*.so.* | \ +# awk '{if (match($$0,/[0-9]+\.[0-9]+\.[0-9]+$$/)) print substr($$0,RSTART)}'` +#major=`ls src/.libs/lib*.so.* | \ +# awk '{if (match($$0,/\.so\.[0-9]+$$/)) print substr($$0,RSTART+4)}'` + +config.status: configure + dh_testdir + # Add here commands to configure the package. +ifneq "$(wildcard /usr/share/misc/config.sub)" "" + cp -f /usr/share/misc/config.sub config.sub +endif +ifneq "$(wildcard /usr/share/misc/config.guess)" "" + cp -f /usr/share/misc/config.guess config.guess +endif + ./configure --host=$(DEB_HOST_GNU_TYPE) --build=$(DEB_BUILD_GNU_TYPE) --prefix=/usr --mandir=\$${prefix}/share/man --infodir=\$${prefix}/share/info CFLAGS="$(CFLAGS)" LDFLAGS="-Wl,-z,defs" + +configure: + [ -x ./configure ] || ./setup + +build: build-stamp +build-stamp: config.status + dh_testdir + + # Add here commands to compile the package. + $(MAKE) -j3 + + touch $@ + +clean: + dh_testdir + dh_testroot + rm -f build-stamp + + # Add here commands to clean up after the build process. + -$(MAKE) distclean + # rm -f config.sub config.guess + + dh_clean + +install: build + dh_testdir + dh_testroot + dh_clean -k + dh_installdirs + + # Add here commands to install the package into debian/tmp + $(MAKE) DESTDIR=$(CURDIR)/debian/libpbc0 install + bash debian/mv_things.sh $(CURDIR)/debian/libpbc0 + +# Build architecture-independent files here. +binary-indep: build install +# We have nothing to do by default. + +# Build architecture-dependent files here. +binary-arch: build install + dh_testdir + dh_testroot + dh_installchangelogs NEWS + dh_installdocs README COPYING AUTHORS + dh_installexamples +# dh_install +# dh_installmenu +# dh_installdebconf +# dh_installlogrotate +# dh_installemacsen +# dh_installpam +# dh_installmime +# dh_installinit +# dh_installcron +# dh_installinfo + dh_installman + dh_link + dh_strip + dh_compress + dh_fixperms +# dh_perl +# dh_python + dh_makeshlibs + dh_installdeb + dh_shlibdeps + dh_gencontrol + dh_md5sums + dh_builddeb + +binary: binary-indep binary-arch +.PHONY: build clean binary-indep binary-arch binary install diff --git a/moon-abe/pbc-0.5.14/doc/basics.txt b/moon-abe/pbc-0.5.14/doc/basics.txt new file mode 100644 index 00000000..c9549f72 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/basics.txt @@ -0,0 +1,58 @@ +=== Basics === + +Programs using the PBC library should include the file `pbc.h`: + + #include <pbc.h> + +and linked against the PBC library and the GMP library, e.g. + + $ gcc program.c -L. -lpbc -lgmp + +The file `pbc.h` already includes `gmp.h`. + +PBC follows GMP in several respects: + +* Output arguments generally precede input arguments. +* The same variable can be used as input and output in one call. +* Before a variable may be used it must be initialized exactly once. +When no longer needed it must be cleared. For efficiency, unnecessary +initializating and clearing should be avoided. +* PBC variables ending with +_t+ behave the same as +GMP variables in function calls: effectively as call-by references. +In other words, as in GMP, if a function that modifies an input variable, +that variable remains modified when control return is returned to the caller. +* Like GMP, variables automatically allocate memory when needed. +By default, +malloc()+ and friends are called but this can be changed. +* PBC functions are mostly reentrant. + +Since the PBC library is built on top of GMP, the GMP types +are available. PBC types are similar to GMP types. +The following example is paraphrased from an example in the GMP +manual, and shows how to declare the PBC data type +element_t+. + + element_t sum; + struct foo { element_t x, y; }; + element_t vec[20]; + +GMP has the +mpz_t+ type for integers, +mpq_t+ for rationals and so on. +In contrast, PBC uses the +element_t+ data type for elements of different +algebraic structures, such as elliptic curve groups, polynomial rings and +finite fields. Functions assume their inputs come from appropriate algebraic +structures. + +PBC data types and functions can be categorized as follows. The first two alone +suffice for a range of applications. + + - +element_t+: elements of an algebraic structure. + - +pairing_t+: pairings where elements belong; can initialize from sample + pairing parameters bundled with PBC in the +param+ subdirectory. + - +pbc_param_t+: used to generate pairing parameters. + - +pbc_cm_t+: parameters for constructing curves via the CM method; sometimes + required by +pbc_param_t+. + - +field_t+: algebraic structures: groups, rings and fields; used internally + by +pairing_t+. + - a few miscellaneous functions, such as ones controlling how random bits are + generated. + +Functions operating on a given data type usually have the same prefix, e.g. +those involving +element_t+ objects begin with +element_+. diff --git a/moon-abe/pbc-0.5.14/doc/bundle.txt b/moon-abe/pbc-0.5.14/doc/bundle.txt new file mode 100644 index 00000000..13256d83 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/bundle.txt @@ -0,0 +1,119 @@ +[[bundlechap]] +== Bundled programs == + +Several binaries and curve parameters are bundled with the PBC library, +such as <<pbcintro, the `pbc` program>>. + +The `param` subdirectory contains pairing parameters one might use in +a real cryptosystem. Many of the test programs read the parameters +from files such as these on standard input, for example: + + $ benchmark/benchmark < param/c159.param + $ example/bls < param/e.param + +[[pbcref]] +=== Pairing-based calculator === + +The `pbc` subdirectory contains the pairing-based calculator, `pbc`, +which is loosely based on `bc`, a well-known arbitrary precision +calculator. + +See `pairing_test.pbc` for an example script. Some differences: the assignment +operator is `:=`, and newlines are ordinary whitespace and not statement +terminators. + +If started with the `-y` option, the syntax is compatible with `bc`: newlines +are treated as statement terminators and `=` is assignment. Additionally, +`pbc` displays a prompt. This mode may be easier for beginners. + +Initially, the variables G1, G2, GT and Zr are represent groups associated with +a particular A pairing. + +An element is represented with a tree of integers, such as `[[1,2], 3]`, or +`4`. + +Assignments such as `variable := expression;` return the value of the variable. + +The arithmetic operators `+, -, /, *, ^` have the standard precedence. +The C comparison operators and ternary operator are available. + +Each statement should be terminated by a semicolon. + +Comments are the same as in (original) C, or begin with "#" and end at a +newline. + +Some of the pbc functions: + ++init_pairing_A()+:: +Set the variables G1, G2, GT and Zr to the groups in a particular A pairing: ++ + init_pairing_A(); ++ +Other sample pairings can be used by replacing `A` with one of `D, E, F, G`. + ++rnd(+'G'+)+:: +Returns a random element of an algebraic structure 'G', e.g: ++ + g := rnd(Zr); ++ +Synonym: `random`. + ++pairing(+'g, h'+)+:: +Returns the pairing applied to 'g' and 'h'. +The element 'g' must be an element of G1 and 'h' of G2, e.g: ++ + pairing(rnd(G1), rnd(G2)); + +'G'+(+'g'+)+:: +Maps an element 'g' to element of the field 'G', e.g: ++ + Zr(123); + GT([456, 789]); + +=== Parameter generation === + +Programs that generate pairing parameters are located in the `gen` +subdirectory. Some of the programs are already functional enough to be used to +find parameters for real applications. I need to write more documentation +first; for now, read the source! + +*listmnt*:: + Searches for discriminants D that lead to MNT curves with subgroups + of prime order. + +*genaparam*, *gena1param*, *gendparam*, *geneparam*, *genfparam*, *gengparam*:: + Prints parameters for a curve suitable for computing pairings of a given type. + The output can be fed to some of the other test programs. The programs + `gendparam` and `gengparam` should be given a discriminant as the first + argument. + +*hilbertpoly*:: + Prints the Hilbert polynomial for a given range of discriminants. Computing + the Hilbert polynomial is an intermediate step when generating type D + parameters. + +=== Example cryptosystems === + +In the `example` subdirectory there are various programs that read curve +parameters on standard input and perform computations that would be required in +a typical implementation of a pairing-based cryptosystem. Sample schemes +include: + +- Boneh-Lynn-Shacham short signatures +- Hess identity-based signatures +- Joux tripartite Diffie-Hellman +- Paterson identity-based signatures +- Yuan-Li identity-based authenticated key agreement +- Zhang-Kim identity-based blind/ring signatures +- Zhang-Safavi-Naini-Susilo signatures + +More work would be required to turn these programs into real applications. + +=== Benchmarks === + +I use the programs in the `benchmark` subdirectory to measure running times of +pairings, and also RSA decryptions. + +The `benchmark` program takes pairing parameters on standard input and reports +the average running time of the pairing over 10 runs, while `timersa` estimates +the time required to perform one 1024-bit RSA decryption. diff --git a/moon-abe/pbc-0.5.14/doc/contributors.txt b/moon-abe/pbc-0.5.14/doc/contributors.txt new file mode 100644 index 00000000..aa67c91f --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/contributors.txt @@ -0,0 +1,35 @@ +== Appendix A: Contributors == + +Ben Lynn wrote the original PBC library and documentation and is still +maintaining and developing it. + +Hovav Shacham wrote the multiexponentiation, sliding windows and preprocessed +exponentiation routines, Makefile improvements, and other enhancements. +He also helps administer the mailing list. + + +Joseph Cooley wrote the GNU build system files, +tested the library on Mac OS X, and added miscellaneous improvements. +Among other things, +pairings can be read from memory buffer and +most compile-time warnings were removed. + + +Rob Figueiredo and Roger Khazan wrote changes which allow the PBC library +to be compiled on Windows (via mingw). + + +Dmitry Kosolapov sent in manual corrections, and wrote +several cryptosystem demos. + + +John Bethencourt sent in many helpful patches, e.g. fixes that allow PBC to +work on 64-bit platforms. + + +Paul Miller reported bugs, manual corrections and also wrote +the Gentoo portage overlay for PBC. + + +If you're not mentioned here but should be, please let me know! +(blynn at cs dot stanford dot edu). diff --git a/moon-abe/pbc-0.5.14/doc/custom-nochunks.xsl b/moon-abe/pbc-0.5.14/doc/custom-nochunks.xsl new file mode 100644 index 00000000..49256ede --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/custom-nochunks.xsl @@ -0,0 +1,22 @@ +<?xml version='1.0'?> +<xsl:stylesheet xmlns:xsl="http://www.w3.org/1999/XSL/Transform" + xmlns:fo="http://www.w3.org/1999/XSL/Format" + version="1.0"> +<xsl:param name="html.stylesheet" select="'default.css'"/> +<xsl:param name="generate.toc" select="'book toc'"/> +<xsl:output method="html" encoding="UTF-8" indent="no" +doctype-public="-//W3C//DTD HTML 4.01 Transitional//EN" +/> +<xsl:template name="user.footer.navigation"> +<script type="text/javascript"> +var gaJsHost = (("https:" == document.location.protocol) ? "https://ssl." : "http://www."); +document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E")); +</script> +<script type="text/javascript"> +try{ +var pageTracker = _gat._getTracker("UA-1901330-5"); +pageTracker._trackPageview(); +} catch(err) {} +</script> +</xsl:template> +</xsl:stylesheet> diff --git a/moon-abe/pbc-0.5.14/doc/custom-pretty.xsl b/moon-abe/pbc-0.5.14/doc/custom-pretty.xsl new file mode 100644 index 00000000..ab619ef6 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/custom-pretty.xsl @@ -0,0 +1,32 @@ +<?xml version='1.0'?> +<xsl:stylesheet xmlns:xsl="http://www.w3.org/1999/XSL/Transform" + xmlns:fo="http://www.w3.org/1999/XSL/Format" + version="1.0"> +<xsl:param name="chunk.section.depth" select="1"></xsl:param> +<xsl:param name="chunk.first.sections" select="1"></xsl:param> +<xsl:param name="css.decoration" select="0"></xsl:param> +<xsl:param name="toc.list.type">ul</xsl:param> +<xsl:param name="chunker.output.encoding" select="'UTF-8'"></xsl:param> +<xsl:param name="chunker.output.doctype-public" select="'-//W3C//DTD HTML 4.01 Transitional//EN'"></xsl:param> +<!-- use tidy instead +<xsl:param name="chunker.output.indent" select="'yes'"></xsl:param> +--> +<xsl:param name="suppress.navigation" select="1"></xsl:param> +<xsl:param name="generate.toc" select="'book toc'"/> +<xsl:param name="html.stylesheet" select="'pretty.css'"/> + +<xsl:template name="user.footer.navigation"> +<script type="text/javascript" src="find_selflink.js"></script> +<script type="text/javascript"> +var gaJsHost = (("https:" == document.location.protocol) ? "https://ssl." : "http://www."); +document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E")); +</script> +<script type="text/javascript"> +try{ +var pageTracker = _gat._getTracker("UA-1901330-5"); +pageTracker._trackPageview(); +} catch(err) {} +</script> +</xsl:template> + +</xsl:stylesheet> diff --git a/moon-abe/pbc-0.5.14/doc/custom.xsl b/moon-abe/pbc-0.5.14/doc/custom.xsl new file mode 100644 index 00000000..8fcac646 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/custom.xsl @@ -0,0 +1,24 @@ +<?xml version='1.0'?> +<xsl:stylesheet xmlns:xsl="http://www.w3.org/1999/XSL/Transform" + xmlns:fo="http://www.w3.org/1999/XSL/Format" + version="1.0"> +<!-- +To chunk by chapter only: +<xsl:param name="chunk.section.depth" select="0"></xsl:param> +--> +<xsl:param name="chunker.output.encoding" select="'UTF-8'"></xsl:param> +<xsl:param name="chunker.output.doctype-public" select="'-//W3C//DTD HTML 4.01 Transitional//EN'"></xsl:param> + +<xsl:template name="user.footer.navigation"> +<script type="text/javascript"> +var gaJsHost = (("https:" == document.location.protocol) ? "https://ssl." : "http://www."); +document.write(unescape("%3Cscript src='" + gaJsHost + "google-analytics.com/ga.js' type='text/javascript'%3E%3C/script%3E")); +</script> +<script type="text/javascript"> +try{ +var pageTracker = _gat._getTracker("UA-1901330-5"); +pageTracker._trackPageview(); +} catch(err) {} +</script> +</xsl:template> +</xsl:stylesheet> diff --git a/moon-abe/pbc-0.5.14/doc/default.css b/moon-abe/pbc-0.5.14/doc/default.css new file mode 100644 index 00000000..b386f84d --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/default.css @@ -0,0 +1,71 @@ +body { + font-size: 90%; + font-family: verdana, arial, sans-serif; +} + +tt, code, pre, .type { + font-family: andale mono, courier new, courier, monospace; + font-size: 90%; +} + +.author { + display : none; +} + +.copyright { + display : none; +} + +div.TOC { + float: left; + width: 13em; + font-size: 90%; + + border: 1px solid #aaaaaa; + background-color: #f9f9f9; + padding: 0.17em; +} + +hr { + display: none; +} + +div.chapter, div.preface { + border-left: 13em solid white; + padding-left: 1em; +} + +h1.title { + border: 1px solid #aaaaaa; + background-color: #f9f9f9; + padding: 0.17em; +} + +div.chapter h1, div.preface h1 { + padding-top: 0.5em; + padding-bottom: 0.17em; + margin: 0; + font-weight: normal; + border-bottom: 1px solid #aaaaaa; +} + +h2 { + padding-top: 0.5em; + padding-bottom: 0.17em; + margin: 0; + font-weight: normal; + border-bottom: 1px solid #aaaaaa; +} + +.programlisting, .screen { + margin: 0; + border: 1px solid #aaaaaa; + background-color: #f9f9f9; + padding: 0.17em; + margin: 1em; + margin-right: 3em; +} + +.parameter { + font-style: italic; +} diff --git a/moon-abe/pbc-0.5.14/doc/elementfns.txt b/moon-abe/pbc-0.5.14/doc/elementfns.txt new file mode 100644 index 00000000..cadf78b0 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/elementfns.txt @@ -0,0 +1,111 @@ +== Element functions == + +Elements of groups, rings and fields are stored in the +element_t+ data type. +Variables of this type must be initialized before use, and should be cleared +after they are no longer needed. + +The +element_+ functions must be used with caution. Just as division by zero +does not make sense for integers, some operations may not make sense for +particular elements. For example, in a ring, one cannot in general invert +elements. + +Another caveat is that many of these functions assume their arguments come from +the same ring, group or field. No implicit type casting is performed. + +For debug builds, turn on run-time checks by defining `PBC_DEBUG` before +including `pbc.h`: + + #define PBC_DEBUG + #include <pbc.h> + +Also, when `PBC_DEBUG` is defined, the following macros are active. +Normally they are replaced with empty statements. + +include::gen/debug.txt[] + +=== Initializing elements === + +When an element is initialized it is associated with an algebraic structure, +such as a particular finite field or elliptic curve group. + +We use G1 and G2 to denote the input groups to the pairing, and GT for the +output group. All have order r, and Zr means the ring of integers modulo r. +G1 is the smaller group (the group of points over the base field). With +symmetric pairings, G1 = G2. + +include::gen/einit.txt[] + +=== Assigning elements === + +These functions assign values to elements. When integers are assigned, +they are mapped to algebraic structures canonically if it makes sense +(e.g. rings and fields). + +include::gen/eassign.txt[] + +=== Converting elements === + +include::gen/econvert.txt[] + +=== Element arithmetic === + +Unless otherwise stated, all +element_t+ arguments to these functions must have +been initialized to be from the same algebraic structure. When one of these +functions expects its arguments to be from particular algebraic structures, +this is reflected in the name of the function. + +The addition and multiplication functions perform addition and multiplication +operations in rings and fields. For groups of points on an ellitpic curve, such +as the G1 and G2 groups associated with pairings, both addition and +multiplication represent the group operation (and similarly both 0 and 1 +represent the identity element). It is recommended that programs choose and +one convention and stick with it to avoid confusion. + +In contrast, the GT group is currently +implemented as a subgroup of a finite field, so only multiplicative operations +should be used for GT. + +include::gen/earith.txt[] + +=== Exponentiating elements === + +Exponentiation and multiexponentiation functions. If it is known in advance +that a particular element will be exponentiated several times in the future, +time can be saved in the long run by first calling the preprocessing function: + + element_pp_t g_pp; + element_pp_init(g_pp, g); + element_pp_pow(h, pow1, g_pp); // h = g^pow1 + element_pp_pow(h, pow2, g_pp); // h = g^pow2 + element_pp_pow(h, pow3, g_pp); // h = g^pow3 + element_pp_clear(g_pp); + +include::gen/epow.txt[] + +=== Comparing elements === + +These functions compare elements from the same algebraic structure. + +include::gen/ecmp.txt[] + +=== Element I/O === + +Functions for producing human-readable outputs for elements. +Converting elements to and from bytes are discussed later. + +include::gen/eio.txt[] + +=== Random elements === + +Only works for finite algebraic structures. Effect on polynomial rings, fields +of characteristic zero, etc. undefined. + +See <<randomref>> for how PBC gets random bits. + +include::gen/erandom.txt[] + +=== Element import/export === + +Functions for serializing and deserializing elements. + +include::gen/etrade.txt[] diff --git a/moon-abe/pbc-0.5.14/doc/extract b/moon-abe/pbc-0.5.14/doc/extract new file mode 100644 index 00000000..77a6a69a --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/extract @@ -0,0 +1,67 @@ +#!/usr/bin/gawk -f +# Extract GMP-style documentation from source using AsciiDoc format. +# Fragile: +# - requires function definition/declaration to end with ")\n" or ");" or ") {" +# - does not play nice with function pointer parameters + +# Look for the magic string "/*@manual " +/^\/\*@manual / { + outfile = "gen/" gensub(".*manual ", "", 1) ".txt" + print "Writing to " outfile + n = 0 + getline + # Stop at the line "*/". + while ($0 != "*/") { + a[n] = $0 + n++ + getline + } + +# Simple version with no markup: +# do { +# getline +# print +# } while (!match($0, ";") && !match($0, "{")) + +# Mark up bits of the function declaration with AsciiDoc, e.g: +# "int main(int argc, char *argv[]);" should become +# "int *main*('int argc', 'char *argv[]');" +# Also suppress "static inline". + getline + +# Handle variable declarations. + if (!match($0, "\\(")) { + s = gensub("([^ ]*);", "*\\1*", 1) # Bold variable name. +# Handle macro declarations. + } else if (match($0, "^#define")) { + s = gensub("^#define *(.*[^ ]) *\\\\$", "*\\1*", 1) +# Otherwise it's a function. + } else { + + sub("static inline ", "") + s = gensub("(\\w*)\\(", " *\\1*(", 1) # Bold function name. + s = gensub("\\((.*$)", "('\\1", 1, s) # First parameter. + gsub(", *", "', '", s) # Separating commas. + gsub("_ptr", "_t", s) +# Handle multi-line function declarations. + while (!match(s, ");") && !match(s, ") *$") && !match(s, ") *{")) { + getline + gsub("^ *", "") # Remove leading whitespace. + gsub(", *", "', '") # Commas again. + gsub("_ptr", "_t") + s = s $0 + } + s = gensub("(.*)\\)", "\\1')", 1, s) # Last parameter + gsub("_ptr", "_t", s) + gsub(")[^)]*$", ")", s); + } + + print s "\n" > outfile + if (n > 0) { + print "____" > outfile + for(i = 0; i < n; i++) { + print a[i] > outfile + } + print "____" > outfile + } +} diff --git a/moon-abe/pbc-0.5.14/doc/find_selflink.js b/moon-abe/pbc-0.5.14/doc/find_selflink.js new file mode 100644 index 00000000..db436db7 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/find_selflink.js @@ -0,0 +1,37 @@ +// From my own website(!) +//TODO: only do this for links in the table of contents menu + +function find_selflink() { + var a = document.links; + var i = 0; + while (i < a.length) { + if (a[i].href == document.URL) { + var c; + var j; + var s_new = document.createElement("span"); + s_new.className = "currentlink"; + c = a[i].childNodes; + for (j=0; j<c.length; j++) { + s_new.appendChild(c[j]); + } + a[i].parentNode.replaceChild(s_new, a[i]); + } else { + i++; + } + + /* + if (a[i].href == document.URL) { + a[i].className = "currentlink"; + if (0) { + var s_new = document.createElement("span"); + s_new.className = "currentlink"; + s_new.appendChild(a[i]); + a[i].parentNode.replaceChild(s_new, a[i]); + } + } + i++; + */ + } +} + +find_selflink(); diff --git a/moon-abe/pbc-0.5.14/doc/index.txt b/moon-abe/pbc-0.5.14/doc/index.txt new file mode 100644 index 00000000..ccf0b503 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/index.txt @@ -0,0 +1,13 @@ +== PBC library manual == + +Other editions: + +- link:../chunked/[Chunked HTML]: One HTML file per section, with no attempts + to make it easier to read. + +- link:../manual.html[Single HTML]: One big HTML file. I attemped to improve + its appearance. + +- link:../manual.pdf[PDF file]: Portable Document Format. + +- link:../manual.txt[text file] diff --git a/moon-abe/pbc-0.5.14/doc/internal.txt b/moon-abe/pbc-0.5.14/doc/internal.txt new file mode 100644 index 00000000..b2f217e3 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/internal.txt @@ -0,0 +1,428 @@ +== PBC internals == + +The source code is organized by subdirectories: + +*`include`*: Headers describing the official API. Headers in other places +are for internal use only. + +*`arith`*: Finite fields: modular arithmetic, polynomial rings, and polynomial +rings modulo a polynomial. Finite fields of low characteristic are unsupported. + +*`ecc`*: Elliptic curve generation, elliptic curve groups and pairings. One +source file is dedicated to each type of pairing, containing specialized +optimizations. Some of the code requires arbitrary precision complex numbers, +which also live here but should be moved elsewhere one day. + +*`misc`*: Dynamic arrays, symbol tables, benchmarking, logging, debugging, +other utilities. + +*`gen`*: Programs that generate pairing parameters and list Hilbert +polynomials. These were used to prepare the samples in the `param` directory. + +*`example`*: Example programs showing how to use the library. + +*`guru`*: Tests, experimental code. + +=== Groups, rings, fields === + +Algebraic structures are represented in the +field_t+ data type, which mostly +contains pointers to functions written to perform operations such as addition +and multiplication in that particular group, ring or field: + + struct field_s { + ... + void (*init)(element_ptr); + void (*clear)(element_ptr); + ... + void (*add)(element_ptr, element_ptr, element_ptr); + void (*sub)(element_ptr, element_ptr, element_ptr); + void (*mul)(element_ptr, element_ptr, element_ptr); + ... + }; + typedef struct field_s *field_ptr; + typedef struct field_s field_t[1]; + +The name +algebraic_structure_t+ is arguably more accurate, but far too +cumbersome. It may help if one views groups and rings as handicapped fields. + +The last two lines of the above code excerpt show how GMP and PBC define data +types: they are arrays of length one so that when a variable is +declared, space is automatically allocated for it on the stack. +Yet when used as a argument to a function, a pointer is passed, thus there is +no need to explicitly allocate and deallocate memory, nor reference and +dereference variables. + +Each +element_t+ contains a field named +field+ to such a +field_t+ variable. +The only other field is +data+, which stores any data needed for the +implementation of the particular algebraic structure the element resides in. + + struct element_s { + struct field_s *field; + void *data; + }; + +When an +element_t+ variable is initialized, +field+ is set appropriately, and +then the initialization specific to that field is called to complete the +initialization. Here, a line of code is worth a thousand words: + + void element_init(element_t e, field_ptr f) { + e->field = f; + f->init(e); + } + +Thus during a call to one of the `element_` functions, the +field+ pointer is +followed then the appropriate routine is executed. For example, modular addition +results when the input element is an element of a finite field, while +polynomial addition is performed for elements of a polynomial ring and so on. + + void element_add(element_t n, element_t a, element_t b) { + n->field->add(n, a, b); + } + +My design may seem dangerous because if a programmer inadvertently attempts +to add a polynomial and a point on an elliptic curve, say, the code +will compile without warnings since they have the same data type. + +However I settled on having a catch-all ``glorified +void *+'' +element_t+ +because I wanted to + +- extend a field an arbitrary number of times (though in practice, currently I + only need to extend a field twice at most), +- switch fields easily, so for example a program that benchmarks addition in + polynomial rings can be trivially modified to benchmark addition in a group, + and +- interchange different implementations of the same algebraic structure, for + example, compare Montgomery representation versus a naive implementation of + integer modulo rings. + +Additionally, defining `PBC_DEBUG` catches many type mismatches. + +In mathematics, groups, rings and fields should be distinguished, but for +implmentation, it is simplest lump them together under the same heading. +In any event, distinct data types may lead to a false sense of security. +Fields of prime order with different moduli would still fall under the same +data type, with unpleasant results if their elements are mistakenly mixed. + +I have vague plans to add flags to +field_t+ describing the capabilities of a +particular +field_t+. These flags would be set during initialization, and +would indicate for example whether one can invert every nonzero element, +whether there are one or two operations (that is, group versus ring), whether +the field is an integer mod ring, polynomial ring, or polynomial mod ring, and +so on. Once in place, more runtime checks can be performed to avoid illegal +inversion and similar problems. + +Another option is to introduce data types for each of the four pairing-related +algebraic structures, namely G1, G2, GT and Zr, as these are the only ones +needed for implementing pairing-based cryptosystems. + +An alternative was to simply use +void *+ instead of +element_t+ and require +the programmer to pass the field as a parameter, e.g. +element_add(a, b, c, +F_13)+, but I decided the added annoyance of having to type this extra variable +every time negated any benefits, such as obviating the need for the ++field+ pointer in +struct element_s+, even if one ignores +the more serious problem that runtime type checking is considerably harder, if +not impossible. + +I suppose one could write a preprocessor to convert one type of notation +to the other, but I would like the code to be standard C. (On the other hand, +as Hovav Shacham suggested, it may be nice to eventually have a converter that +takes human-friendly infix operator expressions like `a = (b + c) * +d` and outputs the assembly-like `element_` equivalents.) + +=== Internal randomness === + +Some algorithms require a quadratic nonresidue in a given field. These +are computed lazily: The first time a quadratic nonresidue is requested, one is +generated at random, using the same source of random bits as other PBC random +functions. [Which reminds me, should I get rid of the +nqr+ field and instead +have it as part of the +data+ field in struct field_s?] + +In `fieldquadratic.c`, a quadratic field extension is constructed with a square +root of this randomly generated quadratic nonresidue in the base field. Thus +for a nondeterminstic source of random bits, the same field may be constructed +differently on different runs. + +To construct the same field the same way every time, one must record the +quadratic nonresidue generated from one run, and call `field_set_nqr()` every +time this particular construction of a quadratic field extension is desired. +Another use for this function is to save time by setting the quadratic +nonresidue to some precomputed value. + +Similarly, for higher degree extensions, a random irreducible polynomial +may be chosen to construct it, but this must be recorded if the same +construction is later required. + +This happens behind the scenes in PBC. + +=== Type A internals === + +Type A pairings are constructed on the curve y^2^ = x^3^ + x over the field F_q +for some prime q = 3 mod 4. +Both G1 and G2 are the group of points E(F_q), so this +pairing is symmetric. It turns out #E(F_q) = q + 1 and +#E(F_q^2^) = (q + 1)^2^. Thus the embedding degree k is 2, +and hence GT is a subgroup of F_q^2. The order r is some prime +factor of q + 1. + +Write q + 1 = r * h. For efficiency, r is picked to be a Solinas prime, +that is, r has the form 2^a^ +- 2^b^ +- 1 for some integers 0 < b < a. + +Also, we choose q = -1 mod 12 so F_q^2^ can be implemented as F_q[i] +(where i = sqrt(-1)) and since q = -1 mod 3, cube roots in F_q +are easy to compute. This latter feature may be removed because I have +not found a use for it yet (in which case we only need q = -1 mod 4). + ++a_param+ struct fields: + + exp2, exp1, sign1, sign0, r: + r = 2^exp2 + sign1 * 2^exp1 + sign0 * 1 (Solinas prime) + q, h: + r * h = q + 1 + q is a prime, h is a multiple of 12 (thus q = -1 mod 12) + +Type A1 uses the same equation, but have different fields since the library +is given r and cannot choose it. + ++a1_param+ struct fields: + + p, n, l: + p + 1 = n * l + p is prime, same as the q in a_param, n is the order of the group. + +=== Type B internals === + +Unimplemented. Similar to type A. The curve y^2^ = x^3^ + 1 over the field F_q +for some prime q = 2 mod 3, which implies cube roots in F_q are easy to +compute, though we can achieve this for type A pairings by constraining q +appropriately. I recommend requiring q = 3 mod 4 as well, so that -1 is +a quadratic nonresidue. + +The lack of an x term simplifies some routines such as point doubling. + +It turns out we must choose between symmetry or efficiency due to the nature of +a certain optimization. + +=== Type C internals === + +Unimplemented. The supersingular curves y^2^ = x^3^ + 2x + 1 and +y^2^ = x^3^ + 2x - 1 over a field of characteristic 3. Discussed at length +by Boneh, Lynn, and Shacham, "Short signatures from the Weil pairing". +Many optimizations can be applied to speed up these pairings; see +Barreto et al., "Efficient algorithms for pairing-based cryptosystems", but +sadly, an attack due to Coppersmith makes these curves less attractive. + +=== Type D internals === + +These are ordinary curves of with embedding degree 6, whose orders are prime +or a prime multiplied by a small constant. + +A type D curve is defined over some field F_q and has order h * r where +r is a prime and h is a small constant. Over the field F_q^6^ its order is +a multiple of r^2^. + +Typically the order of the curve E is around 170 bits, as is F_q, the base +field, thus q^k^ is around the 1024-bit mark which is commonly considered +good enough. + ++d_param+ struct fields: + + q F_q is the base field + n # of points in E(F_q) + r large prime dividing n + h n = h * r + a E: y^2 = x^3 + ax + b + b + nk # of points in E(F_q^k) + hk nk = hk * r * r + coeff0 coefficients of a monic cubic irreducible over F_q + coeff1 + coeff2 + nqr quadratic nonresidue in F_q + +These were discovered by Miyaji, Nakabayashi and Takano, +"New explicit conditions of elliptic curve traces for FR-reduction". + +=== Type E Internals === + +The CM (Complex Multiplication) method of constructing elliptic curves +starts with the Diophantine equation + + DV^2 = 4q - t^2 + +If t = 2 and q = D r^2^ h^2^ + 1 for some prime r (which we choose to +be a Solinas prime) and some integer h, we find that this equation is easily +solved with V = 2rh. + +Thus it is easy to find a curve (over the field F_q) with order q - 1. +Note r^2^ divides q - 1, thus we have an embedding degree of 1. + +Hence all computations necessary for the pairing can be done in F_q alone. +There is never any need to extend F_q. + +As q is typically 1024 bits, group elements take a lot of space to represent. +Moreover, many optimizations do not apply to this type, resulting in a slower +pairing. + ++e_param+ struct fields: + + exp2, exp1, sign1, sign0, r: + r = 2^exp2 + sign1 * 2^exp1 + sign0 * 1 (Solinas prime) + q, h + q = h r^2 + 1 where r is prime, and h is 28 times a perfect square + a, b + E: y^2 = x^3 + ax + b + +=== Type F internals === + +Using carefully crafted polynomials, k = 12 pairings can be constructed. +Only 160 bits are needed to represent elements of one group, and 320 bits +for the other. + +Also, embedding degree k = 12 allows higher security short signatures. +(k = 6 curves cannot +be used to scale security from 160-bits to say 256-bits because finite +field attacks are subexponential.) + ++f_param+ struct fields: + + q: + The curve is defined over Fq + r: + The order of the curve. + b: + E: y^2= x^3 + b + beta: + A quadratic nonresidue in Fq: used in quadratic extension. + alpha0, alpha1: + x^6 + alpha0 + alpha1 sqrt(beta) is irreducible: used in sextic extension. + +Discovered by Barreto and Naehrig, "Pairing-friendly elliptic curves of prime order". + +=== Type G Internals === + +Another construction based on the CM method. + ++g_param+ struct fields: + + q, n, h, r: + h * r = n is the order of E(F_q) + a, b: + E: y^2 = x^3 + ax + b + nk: + #E(F_q^10) + hk: + hk * r^2 = nk + coeff: + array of coefficients of polynomial used for quintic extension. + nqr: + a quadratic nonresidue + ++g_param+ struct fields: + +Discovered by Freeman, "Constructing pairing-friendly elliptic curves with embedding degree 10." + +=== Type I Internals === + +Type I pairings is symmetric, constructed on a supersingular curve +y^2^ = x^3^ - x + 1 over a ternary extension field F_{3^m^}. +The embedding degree k is 6. +Both G1 and G2 are the group of points E(F_{3^m^}). +GT is a subgroup of F_{3^6*m^}. The group order is a prime number. + +parameters: + + m, t: + The ternary extension field is F(3)[x]/(x^m^ + x^t^ + 2). + n: + the order of G1 + n2: + n * n2 = number of points in E(F_{3^m^}) + +Introduced by Barreto et al, "Efficient Pairing Computation on Supersingular +Abelian Varieties", Designs, Codes and Cryptography, vol. 42, no. 3, pp. 239-271, +Mar. 2007. + +=== Testing functions === + +For testing, debugging, demonstrations and benchmarks. +Declared in +pbc_test.h+: + +include::gen/test.txt[] + +=== Dynamic arrays === + +The +darray_t+ data type manages an array of pointers of type +void \*+, +allocating more memory when necessary. +Declared in +pbc_darray.h+. + +include::gen/darray.txt[] + +=== Symbol tables === + +The +symtab_t+ data type manages symbol tables where the keys are strings of +type +char \*+ and the values are pointers of type +void \*+. + +At present, they are implemented inefficiently using dynamic arrays, but this +will change if the need arises. They are only used when reading a +pbc_param_t+ +from a string. Declared in +pbc_symtab.h+. + +include::gen/symtab.txt[] + +=== Religious stances === + +I chose C because: + +- GMP, which PBC requires and is also modeled on, is also written in C. +- PBC is intended to be a low-level portable cryptographic library. C is the + least common denominator. It should not be difficult to wrap PBC for other + languages. +- Despite its drawbacks (I would appreciate operator overloading and + genericity, and to a lesser extent garbage collection), I've found few + languages I like better. To quote Rob Pike, C is the desert island language. + (I also agree with his statement that OO languages conceptually provide + little extra over judicious use of function pointers in C.) + +With respect to indentation, I'm migrating the code to follow +http://google-styleguide.googlecode.com/svn/trunk/cppguide.xml[Google C++ +Style Guide] to avoid having to switch styles all the time. +The code was originally written using my old style: 4-space indent with 1TBS +(One True Brace Style). + +I'd like to have no library dependencies (except standard C libraries), +but then I'd have to write a large integer library. Furthermore, I'd have to +write it in assembly, and then port it. + +To avoid this, I use an existing library. I selected GMP because the library's +focus is on multiprecision arithmetic and nothing else, and it aims to be as +fast as possible on many platforms. Another important factor is that GMP is +released under a free license. + +On the other hand, GMP is written to deal with extremely large numbers, while I +mostly only need integers that are roughly between 160 and 2048 bits. It is +possible a library specializing in numbers of these sizes would be better for +PBC. + +I'm fond of GMP's method for eliminating the need for the +&+ and +*+ +operators most of the time by declaring a typedef on arrays of size 1. I try +to do the same with PBC for consistency, though this trick does have drawbacks. + +I would like to have GMP as the only library dependency, though I do not mind +using other libraries so long as they are optional. For example, one of the +test programs is much easier to use if compiled with the GNU readline library, +but by default compiles without it and is still functional. + +I dislike the C preprocessor. I like to place platform-specific code in +separate files and let the build system work out which one to use. Integer +constants can be defined with enum instead. I intend to minimize the number of ++#include+ statements in header files for PBC's internal use as much as +possible (they should be in the `.c` files instead), and later perhaps even +remove those annoying +#ifndef+ statements too. +I grudgingly accept some macros for PBC's debugging features. + +I liberally use nested functions, a GNU C extension. I find their expressiveness so indispensable that I'm willing to sacrifice portability for them. + +The +http://www.gnu.org/software/libc/manual/html_node/Reserved-Names.html[GNU libc manual] +states that data types ending in +_t+ should not be used because they are +reserved for future additions to C or POSIX. On the other hand, I want to stay +consistent with GMP, and ending data types with +_t+ is common practice. diff --git a/moon-abe/pbc-0.5.14/doc/macros.ad b/moon-abe/pbc-0.5.14/doc/macros.ad new file mode 100644 index 00000000..0b108e2b --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/macros.ad @@ -0,0 +1,9 @@ +[miscellaneous] +newline=\n + +[blockdef-passthrough] +delimiter=^@{4,}$ +subs=none + +[replacements] +sigma=σ diff --git a/moon-abe/pbc-0.5.14/doc/makeover b/moon-abe/pbc-0.5.14/doc/makeover new file mode 100644 index 00000000..39b807c1 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/makeover @@ -0,0 +1,50 @@ +#!/bin/bash +gawk ' +/<div class="toc">/ { + print $0 + getline #TODO: check this is the <ul> line + print $0 + print "<li><a href=\".\">PBC Library Manual</a></li>" + getline + while (!match($0, "</div>")) { + print $0 + getline + } + print "</div>" + exit +} +' < manual/index.html > toc.tmp +for a in manual/*.html +do + if [ $a != "manual/index.html" ] + then +#add " - PBC" to titles of all pages + sed '/<\/title>/ s/<\/title>/ - PBC&/' -i $a + sed '/<body/{n; r toc.tmp +a <div class="content"> +} ' -i $a + sed '/^<\/body/i </div>' -i $a + fi +done + +gawk ' +/<div class="book"/ { + i = 0 + for(;;) { + getline + if (match($0, "<div")) i++; + else if (match($0, "</div")) { + i--; + if (i < 0) break; + } + } + sub("</div>","") +} +{ print } +' < manual/index.html | sed '/<body/{n; r toc.tmp +a <div class="content"> +r index.html +a </div> +} ' > tmp.tmp +mv tmp.tmp manual/index.html +rm toc.tmp diff --git a/moon-abe/pbc-0.5.14/doc/miscfns.txt b/moon-abe/pbc-0.5.14/doc/miscfns.txt new file mode 100644 index 00000000..5ea07a67 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/miscfns.txt @@ -0,0 +1,43 @@ +== Other functions == + +Random number generation, memory allocation, logging. + +[[randomref]] +=== Random bits === + +The first time PBC is asked to generate a random number, +the library will try to open the file `/dev/urandom` as a +source of random bits. If this fails, PBC falls back to a deterministic +random number generator (which is of course completely useless for +cryptography). + +It is possible to change the file used for random bits. Also, explicitly +selecting the deterministic random number generator will +suppress the warning. + +On Windows, by default, PBC uses the Microsoft Crypto API to generate random +bits. + +include::gen/pbcrandom.txt[] + +=== Custom allocation === + +Like GMP, PBC can be instructed to use custom memory allocation functions. +This must be done before any memory allocation is performed, +usually at the beginning of a program before any other PBC functions have +been called. + +Also like GMP, the PBC wrappers around +malloc+ +and +realloc+ will print a message on standard error +and terminate program execution if the calls fail. +Replacements for these functions should act similarly. + +However, unlike GMP, PBC does not pass the number of bytes previously allocated +along with the pointer in calls to +realloc+ and ++free+. + +include::gen/alloc.txt[] + +=== Logging === + +include::gen/log.txt[] diff --git a/moon-abe/pbc-0.5.14/doc/pairingfns.txt b/moon-abe/pbc-0.5.14/doc/pairingfns.txt new file mode 100644 index 00000000..4ea4bf13 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/pairingfns.txt @@ -0,0 +1,69 @@ +== Pairing functions == + +An application should first initialize a pairing object. This causes PBC +to setup curves, groups and other mathematical miscellany. After that, +elements can be initialized and manipulated for cryptographic operations. + +Parameters for various pairings are included with the PBC library distribution +in the `param` subdirectory, and some are suitable for cryptographic use. Some +programs in the `gen` subdirectory may be used to generate parameters (see +<<bundlechap>>). Also, see the PBC website for many more +pairing parameters. + +Pairings involve three groups of prime order. The PBC library calls them G1, +G2, and GT, and calls the order r. The pairing is a bilinear map that takes two +elements as input, one from G1 and one from G2, and outputs an element of GT. + +The elements of G2 are at least as long as G1; G1 is guaranteed to be the +shorter of the two. Sometimes G1 and G2 are the same group (i.e. the pairing +is symmetric) so their elements can be mixed freely. In this case the ++pairing_is_symmetric+ function returns 1. + +Bilinear pairings are stored in the data type +pairing_t+. Functions that +operate on them start with +pairing_+. + +=== Initializing pairings === + +To initialize a pairing from an ASCIIZ string: + + pairing_t pairing; + pairing_init_set_str(pairing, s); // Where s is a char *. + +The string 's' holds _pairing parameters_ in a text format. The +param+ +subdirectory contains several examples. + +Alternatively, call: + + pairing_t pairing; + pairing_init_pbc_param(pairing, param); + +where 'param' is an initialized `pbc_param_t` (see <<paramchap>>). + +include::gen/pairing_init.txt[] + +=== Applying pairings === + +The function `pairing_apply` can be called to apply a bilinear map. The order +of the inputs is important. The first, which holds the output, must be from the +group GT. The second must be from G1, the third from G2, and the fourth must be +the +pairing_t+ variable that relates them. + +In some applications, the programmer may know that many pairings with the same +G1 input will be computed. If so, preprocessing should be used to avoid +repeating many calculations saving time in the long run. A variable of type ++pairing_pp_t+ should be declared, initialized with the fixed G1 element, and +then used to compute pairings: + + pairing_pp_t pp; + pairing_pp_init(pp, x, pairing); // x is some element of G1 + pairing_pp_apply(r1, y1, pp); // r1 = e(x, y1) + pairing_pp_apply(r2, y2, pp); // r2 = e(x, y2) + pairing_pp_clear(pp); // don't need pp anymore + +Never mix and match G1, G2, and GT groups from different pairings. + +include::gen/pairing_apply.txt[] + +=== Other pairing functions === + +include::gen/pairing_op.txt[] diff --git a/moon-abe/pbc-0.5.14/doc/paramfns.txt b/moon-abe/pbc-0.5.14/doc/paramfns.txt new file mode 100644 index 00000000..74b1abff --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/paramfns.txt @@ -0,0 +1,37 @@ +[[paramchap]] +== Param functions == + +Pairings are initialized from _pairing parameters_, which are objects of type +`pbc_param_t`. Some applications can ignore this data type because +`pairing_init_set_str()` handles it behind the scenes: it reads a string as a +`pbc_param_t`, then initializes a pairing with these parameters. + +include::gen/param.txt[] + +[[paramgenchap]] +=== Param generation === + +These were used to prepare the sample parameters in the +param+ subdirectory. + +We label the pairing families with capital letters roughly in the order of +discovery, so we can refer to them easily. Type A is fastest. Type D is a good +choice when elements should be short but is slower. Type F has even shorter +elements but is slower still. The speed differences are hardware-dependent, and +also change when preprocessing is used. Type B and C are unimplemented. + +The +pbc_cm_t+ data type holds CM parameters that are used to generate type D +and G curves. + +include::gen/cminfo.txt[] + +include::gen/aparam.txt[] + +include::gen/a1param.txt[] + +include::gen/dparam.txt[] + +include::gen/eparam.txt[] + +include::gen/fparam.txt[] + +include::gen/gparam.txt[] diff --git a/moon-abe/pbc-0.5.14/doc/preface.txt b/moon-abe/pbc-0.5.14/doc/preface.txt new file mode 100644 index 00000000..ec8a3373 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/preface.txt @@ -0,0 +1,18 @@ += PBC Library Manual 0.5.14 = +Ben Lynn +2006 + +== Preface == + +The PBC library is a free portable C library allowing the rapid prototyping of +pairing-based cryptosystems. It provides an abstract interface to a cyclic +group with a bilinear pairing, insulating the programmer from mathematical +details. Knowledge of elliptic curves is optional. + +The PBC library is built on top of the GMP library, and the PBC API is strongly +influenced by the GMP API. Accordingly, this manual tries to imitate the look +and feel of the GMP manual. + +The PBC library homepage: http://crypto.stanford.edu/pbc/[http://crypto.stanford.edu/pbc/] + +The GMP library homepage: http://www.swox.com/gmp/[http://www.swox.com/gmp/] diff --git a/moon-abe/pbc-0.5.14/doc/pretty.css b/moon-abe/pbc-0.5.14/doc/pretty.css new file mode 100644 index 00000000..69502083 --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/pretty.css @@ -0,0 +1,97 @@ +body { + font-size: 90%; + font-family: verdana, arial, sans-serif; +} + +tt, code, pre, .type { + font-family: andale mono, courier new, courier, monospace; + font-size: 90%; +} + +/* Based on http://phrogz.net/CSS/columns3.html */ +div.toc { + float: left; + margin: 0; + padding: 0; + padding-top: 0.5em; + border: 0; + width: 13em; + + background-color: #f9f9f9; + margin-right:1em; +} + +div.content { + margin: 0; + padding: 0; + + /* won't match if font is smaller in toc */ + border-left: 13em solid #f9f9f9; + padding-left: 1em; +} + +div.content:after { + content:' '; + clear:both; + display:block; + height:0; + overflow:hidden +} + +div.footer { + clear:left; +} + +div.toc ul { + list-style: none; + padding: 0; + margin: 0; +} + +div.toc li ul a, li ul span.currentlink +{ + font-weight: normal; + font-size: 90%; + padding-left: 2em; +} + +div.toc a, span.currentlink{ + display:block; + text-decoration: none; + padding-left: 0.5em; + color: #0000aa; +} + +span.currentlink { + text-decoration: none; + background-color: #aaaaf9; +} + +div.toc a:visited { + color: #0000aa; +} + +div.toc a:hover { + background-color: #f9f9aa; +} + +.literallayout { + margin: 0; + border: 1px solid #aaaaaa; + background-color: #f9f9f9; + padding: 0.17em; + margin: 1em; + margin-right: 3em; +} + +h1, h2, h3, h4, h5, h6 { + padding-bottom: 0.17em; + margin: 0; + font-weight: normal; + color: black; + border-bottom: 1px solid #aaaaaa; +} + +h3, h4, h5, h6 { + border-bottom: 0; +} diff --git a/moon-abe/pbc-0.5.14/doc/quickstart.txt b/moon-abe/pbc-0.5.14/doc/quickstart.txt new file mode 100644 index 00000000..2f94e46e --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/quickstart.txt @@ -0,0 +1,69 @@ +== Installing PBC == + +The PBC library needs http://www.swox.com/gmp/[the GMP library]. + +This build system has been tested and works on Linux and Mac OS X with a +fink installation. + + $ ./configure + $ make + $ make install + +On Windows, the configure command requires a couple of options: + + $ ./configure -disable-static -enable-shared + +By default the library is installed in `/usr/local/lib`. On some systems, this +may not be in the library path. One way to fix this is to edit +`/etc/ld.so.conf` and run `ldconfig`. + +=== Simple Makefile === + +For speed and simplicity, I use `simple.make` during development. +Naturally it is less portable. + + $ make -f simple.make + +PBC uses some GNU C extensions such as nested functions. + +[[pbcintro]] +=== Quick start === + +We shall use the following notation. For our purposes, the pairing is a +bilinear map from two cyclic groups, G1 and G2 to a third group GT, where each +group has prime order r. + +Run `pbc/pbc` and type: + + g := rnd(G1); + g; + +The first line generates a random element g of the group G1, +while the second prints out the value of g. (The syntax was influenced +by `bc`, an arbitrary precision calculator.) +Next, enter: + + h := rnd(G2); + h; + +This assigns h to a random element of the group G2. Actually, the default +pairing `pbc` uses is symmetric so G1 and G2 are in fact the same group, but in +general they are distinct. To compute the pairing applied to g and h, type: + + pairing(g,h); + +The order of both g and h is r. Let's generate two random numbers between +1 and r: + + a := rnd(Zr); + b := rnd(Zr); + +By bilinearity, the resulting output of both of these lines should be +identical: + + pairing(g^a,h^b); + pairing(g,h)^(a*b); + +This program has <<pbcref, other features>> but the commands shown here should +be enough to quickly and interactively experiment with many pairing-based +cryptosystems using real numbers. diff --git a/moon-abe/pbc-0.5.14/doc/security.txt b/moon-abe/pbc-0.5.14/doc/security.txt new file mode 100644 index 00000000..c59cf4ba --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/security.txt @@ -0,0 +1,45 @@ +== Security issues == + +Potential problems for the paranoid. + +*Truncated hashes* + +For points on an elliptic curve over the base field, +element_from_hash()+ +will truncate the input hash until it can represent an x-coordinate in that +field. (PBC then computes a corresponding y-coordinate.) Ideally the hash +length should be smaller than size of the base field and also the size of the +elliptic curve group. + +Hashing to elements in field extensions does not take advantage of the fact +that the extension has more elements than the base field. I intend to rewrite +the code so that for a degree n extension code, PBC splits the hash into n +parts and determine each polynomial coefficient from one ofthe pieces. At the +moment every coefficient is the same and depends on the whole hash. + +This is harmless for the base field, because all the pairing types implemented +so far use an integer mod ring as the base field, rather than an extension of +some low characteristic field. + +*Zeroed memory* + +Unlike OpenSSL, there are no functions to zero memory locations used in +sensitive computations. To some extent, one can use +element_random()+ to +overwrite data. + +*PRNG determinism* + +On platforms without `/dev/urandom` PBC falls back on a deterministic +pseudo-random number generator, except on Windows where it attempts to +use the Microsoft Crypto API. + +Also, `/dev/urandom` differs from `/dev/random`. A quote from its manpage: + +____ +A read from the /dev/urandom device will not block waiting for more +entropy. As a result, if there is not sufficient entropy in the +entropy pool, the returned values are theoretically vulnerable to a +cryptographic attack on the algorithms used by the driver. Knowledge +of how to do this is not available in the current non-classified literature, +but it is theoretically possible that such an attack may exist. +If this is a concern in your application, use /dev/random instead. +____ diff --git a/moon-abe/pbc-0.5.14/doc/sigex.txt b/moon-abe/pbc-0.5.14/doc/sigex.txt new file mode 100644 index 00000000..dcfc8d5e --- /dev/null +++ b/moon-abe/pbc-0.5.14/doc/sigex.txt @@ -0,0 +1,155 @@ +== Tutorial == + +This chapter walks through how one might implement the +Boneh-Lynn-Shacham (BLS) signature scheme using the PBC library. +It is based on the file `example/bls.c`. + +We have three groups 'G1', 'G2', 'GT' of prime order 'r', and a bilinear map +'e' that takes an element from 'G1' and an element from 'G2', and outputs an +element of 'GT'. We publish these along with the system parameter 'g', which is +a randomly chosen element of 'G2'. + +Alice wishes to sign a message. She generates her public and private keys as +follows. Her private key is a random element 'x' of 'Zr', and her corresponding +public key is 'g'^'x'^. + +To sign a message, Alice hashes the message to some element +'h' of 'G1', and then outputs the signature 'h'^'x'^. + +To verify a signature sigma, Bob checks that +'e'('h','g'^'x'^) = 'e'(sigma, 'g'). + +We now translate the above to C code using the PBC library. + +=== BLS signatures === + +First we include `pbc/pbc.h`: + + #include <pbc.h> + +Next we initialize a pairing: + + pairing_t pairing; + char param[1024]; + size_t count = fread(param, 1, 1024, stdin); + if (!count) pbc_die("input error"); + pairing_init_set_buf(pairing, param, count); + +Later we give pairing parameters to our program on standard input. Any file in +the `param` subdirectory will suffice, for example: + + $ bls < param/a.param + +We shall need several +element_t+ variables to hold the system parameters, keys +and other quantities. We declare them and initialize them, +.... +element_t g, h; +element_t public_key, secret_key; +element_t sig; +element_t temp1, temp2; + +element_init_G2(g, pairing); +element_init_G2(public_key, pairing); +element_init_G1(h, pairing); +element_init_G1(sig, pairing); +element_init_GT(temp1, pairing); +element_init_GT(temp2, pairing); +element_init_Zr(secret_key, pairing); +.... +generate system parameters, + + element_random(g); + +generate a private key, + + element_random(secret_key); + +and the corresponding public key. + + element_pow_zn(public_key, g, secret_key); + +When given a message to sign, we first compute its hash, using some standard +hash algorithm. Many libraries can do this, and this operation does not +involve pairings, so PBC does not provide functions for this step. For this +example, and our message has already been hashed, possibly using another +library. + +Say the message hash is "ABCDEF" (a 48-bit hash). We map these bytes to an +element h of G1, + + element_from_hash(h, "ABCDEF", 6); + +then sign it: + + element_pow_zn(sig, h, secret_key); + +To verify this signature, we compare the +outputs of the pairing applied to the signature and system parameter, +and the pairing applied to the message hash and public key. +If the pairing outputs match then the signature is valid. + +.... +pairing_apply(temp1, sig, g, pairing); +pairing_apply(temp2, h, public_key, pairing); +if (!element_cmp(temp1, temp2)) { + printf("signature verifies\n"); +} else { + printf("signature does not verify\n"); +} +.... + +=== Import/export === + +To be useful, at some stage the signature must be converted +to bytes for storage or transmission: + + int n = pairing_length_in_bytes_compressed_G1(pairing); + // Alternatively: + // int n = element_length_in_bytes_compressed(sig); + unsigned char *data = malloc(n); + element_to_bytes_compressed(data, sig); + +On the other end, the signature must be decompressed: + + element_from_bytes_compressed(sig, data); + +Eliding +_compressed+ in the above code +will also work but the buffer 'data' will be roughly twice as large. + +We can save more space by using the 'x'-coordinate of the signature only + + int n = pairing_length_in_bytes_x_only_G1(pairing); + // Alternative: + // int n = element_length_in_bytes_x_only(sig); + unsigned char *data = malloc(n); + element_to_bytes_compressed(data, sig); + +but then there is a complication during verification since two different +points have the same 'x'-coordinate. One way to solve this problem is to +guess one point and try to verify. If that fails, we try the other. +It can be shown that the pairing outputs of the two points are inverses +of each other, avoiding the need to compute a pairing the second time. +(In fact, there are even better ways to handle this.) +.... +int n = pairing_length_in_bytes_x_only_G1(pairing); +//int n = element_length_in_bytes_x_only(sig); +unsigned char *data = malloc(n); + +element_to_bytes_x_only(data, sig); + +element_from_bytes_x_only(sig, data) + +pairing_apply(temp1, sig, g, pairing); +pairing_apply(temp2, h, public_key, pairing); + +if (!element_cmp(temp1, temp2)) { + printf("signature verifies on first guess\n"); +} else { + element_invert(temp1, temp1); + if (!element_cmp(temp1, temp2)) { + printf("signature verifies on second guess\n"); + } else { + printf("signature does not verify\n"); + } +} +.... diff --git a/moon-abe/pbc-0.5.14/ecc/a_param.c b/moon-abe/pbc-0.5.14/ecc/a_param.c new file mode 100644 index 00000000..6cf8dd96 --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/a_param.c @@ -0,0 +1,2315 @@ +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> //for rand, pbc_malloc, pbc_free +#include <string.h> //for strcmp +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_fp.h" +#include "pbc_fieldquadratic.h" +#include "pbc_param.h" +#include "pbc_pairing.h" +#include "pbc_curve.h" +#include "pbc_random.h" +#include "pbc_memory.h" +#include "ecc/param.h" +#include "pbc_a_param.h" +#include "pbc_a1_param.h" + +typedef struct { + int exp2; + int exp1; + int sign1; + int sign0; + mpz_t r; // r = 2^exp2 + sign1 * 2^exp1 + sign0 * 1 + mpz_t q; // we work in E(F_q) (and E(F_q^2)) + mpz_t h; // r * h = q + 1 +} *a_param_ptr; + +typedef struct { + field_t Fq, Fq2, Eq; + int exp2, exp1; + int sign1; +} *a_pairing_data_ptr; + +static void a_out_str(FILE *stream, void *data) { + a_param_ptr p = data; + param_out_type(stream, "a"); + param_out_mpz(stream, "q", p->q); + param_out_mpz(stream, "h", p->h); + param_out_mpz(stream, "r", p->r); + param_out_int(stream, "exp2", p->exp2); + param_out_int(stream, "exp1", p->exp1); + param_out_int(stream, "sign1", p->sign1); + param_out_int(stream, "sign0", p->sign0); +} + +static void a_clear(void *data) { + a_param_ptr sp = data; + mpz_clear(sp->r); + mpz_clear(sp->q); + mpz_clear(sp->h); + pbc_free(data); +} + +static void phi_identity(element_ptr out, element_ptr in, pairing_ptr pairing) { + UNUSED_VAR(pairing); + element_set(out, in); +} + +static void compute_abc_tangent(element_ptr a, element_ptr b, element_ptr c, + element_ptr Vx, element_ptr Vy, element_ptr e0) { + //a = -slope_tangent(V.x, V.y); + //b = 1; + //c = -(V.y + aV.x); + //but we multiply by -2*V.y to avoid division so: + //a = -(3 Vx^2 + cc->a) + //b = 2 * Vy + //c = -(2 Vy^2 + a Vx); + element_square(a, Vx); + //element_mul_si(a, a, 3); + element_add(e0, a, a); + element_add(a, e0, a); + element_set1(b); + element_add(a, a, b); + element_neg(a, a); + + element_double(b, Vy); + + element_mul(e0, b, Vy); + element_mul(c, a, Vx); + element_add(c, c, e0); + element_neg(c, c); +} + +static void compute_abc_tangent_proj(element_ptr a, element_ptr b, element_ptr c, + element_ptr Vx, element_ptr Vy, + element_ptr z, element_ptr z2, element_ptr e0) { + //a = -(3x^2 + cca z^4) + //for this case cca = 1 + //b = 2 y z^3 + //c = -(2 y^2 + x a) + //a = z^2 a + element_square(a, z2); + element_square(b, Vx); + ////element_mul_si(b, b, 3); + element_double(e0, b); + element_add(b, e0, b); + element_add(a, a, b); + element_neg(a, a); + + ////element_mul_si(e0, Vy, 2); + element_double(e0, Vy); + element_mul(b, e0, z2); + element_mul(b, b, z); + + element_mul(c, Vx, a); + element_mul(a, a, z2); + element_mul(e0, e0, Vy); + element_add(c, c, e0); + element_neg(c, c); +} + +static void compute_abc_line(element_ptr a, element_ptr b, element_ptr c, + element_ptr Vx, element_ptr Vy, + element_ptr V1x, element_ptr V1y, + element_ptr e0) { + //a = -(B.y - A.y) / (B.x - A.x); + //b = 1; + //c = -(A.y + a * A.x); + //but we'll multiply by B.x - A.x to avoid division, so + //a = -(By - Ay) + //b = Bx - Ax + //c = -(Ay b + a Ax); + element_sub(a, Vy, V1y); + element_sub(b, V1x, Vx); + element_mul(c, Vx, V1y); + element_mul(e0, Vy, V1x); + element_sub(c, c, e0); +} + +struct pp_coeff_s { + element_t a; + element_t b; + element_t c; +}; +typedef struct pp_coeff_s pp_coeff_t[1]; +typedef struct pp_coeff_s *pp_coeff_ptr; + +static void pp_coeff_set(pp_coeff_ptr p, element_t a, element_t b, element_t c) { + element_init(p->a, a->field); + element_init(p->b, b->field); + element_init(p->c, c->field); + element_set(p->a, a); + element_set(p->b, b); + element_set(p->c, c); +} + +static void a_pairing_pp_init(pairing_pp_t p, element_ptr in1, pairing_t pairing) { + int i, n; + a_pairing_data_ptr ainfo = pairing->data; + p->data = pbc_malloc(sizeof(pp_coeff_t) * (ainfo->exp2 + 1)); + pp_coeff_t *coeff = (pp_coeff_t *) p->data; + element_t V, V1; + element_t a, b, c; + element_t e0; + element_ptr Vx, Vy; + element_ptr V1x, V1y; + + #define do_tangent() \ + compute_abc_tangent(a, b, c, Vx, Vy, e0); \ + pp_coeff_set(coeff[i], a, b, c); + + #define do_line() \ + compute_abc_line(a, b, c, Vx, Vy, V1x, V1y, e0); \ + pp_coeff_set(coeff[i], a, b, c); + + element_init(V, ainfo->Eq); + element_init(V1, ainfo->Eq); + element_set(V, in1); + Vx = curve_x_coord(V); + Vy = curve_y_coord(V); + V1x = curve_x_coord(V1); + V1y = curve_y_coord(V1); + element_init(e0, ainfo->Fq); + element_init(a, ainfo->Fq); + element_init(b, ainfo->Fq); + element_init(c, ainfo->Fq); + + n = ainfo->exp1; + for (i=0; i<n; i++) { + do_tangent(); + element_double(V, V); + } + + if (ainfo->sign1 < 0) { + element_neg(V1, V); + } else { + element_set(V1, V); + } + n = ainfo->exp2; + for (; i<n; i++) { + do_tangent(); + element_double(V, V); + } + + do_line(); + + element_clear(e0); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(V); + element_clear(V1); + #undef do_tangent + #undef do_line +} + +static void a_pairing_pp_clear(pairing_pp_t p) { + a_pairing_data_ptr ainfo = p->pairing->data; + pp_coeff_t *coeff = (pp_coeff_t *) p->data; + int i, n = ainfo->exp2 + 1; + for (i=0; i<n; i++) { + pp_coeff_ptr pp = coeff[i]; + element_clear(pp->a); + element_clear(pp->b); + element_clear(pp->c); + } + pbc_free(p->data); +} + +// Requires cofactor to be odd. +// Overwrites in and temp, out != in. +// Luckily this touchy routine is only used internally. +// TODO: rewrite to allow (out == in)? would simplify a_finalpow() +static void lucas_odd(element_ptr out, element_ptr in, element_ptr temp, mpz_t cofactor) { + element_ptr in0 = element_x(in); + element_ptr in1 = element_y(in); + element_ptr v0 = element_x(out); + element_ptr v1 = element_y(out); + element_ptr t0 = element_x(temp); + element_ptr t1 = element_y(temp); + int j; + + element_set_si(t0, 2); + element_double(t1, in0); + + element_set(v0, t0); + element_set(v1, t1); + + j = mpz_sizeinbase(cofactor, 2) - 1; + for (;;) { + if (!j) { + element_mul(v1, v0, v1); + element_sub(v1, v1, t1); + element_square(v0, v0); + element_sub(v0, v0, t0); + break; + } + if (mpz_tstbit(cofactor, j)) { + element_mul(v0, v0, v1); + element_sub(v0, v0, t1); + element_square(v1, v1); + element_sub(v1, v1, t0); + } else { + element_mul(v1, v0, v1); + element_sub(v1, v1, t1); + element_square(v0, v0); + element_sub(v0, v0, t0); + } + j--; + } + + //assume cofactor = (q + 1) / r is even + //(r should be odd and q + 1 is always even) + //thus v0 = V_k, v1 = V_{k+1} + //and V_{k-1} = P v0 - v1 + + //so U_k = (P V_k - 2 V_{k-1}) / (P^2 - 4) + // = (2 v1 - P v0) / (P^2 - 4) + + element_mul(in0, v0, t1); + element_double(v1, v1); + element_sub(v1, v1, in0); + + element_square(t1, t1); + element_sub(t1, t1, t0); + element_sub(t1, t1, t0); + element_div(v1, v1, t1); + + element_halve(v0, v0); + element_mul(v1, v1, in1); +} + +static inline void a_tateexp(element_ptr out, element_ptr in, element_ptr temp, mpz_t cofactor) { + element_ptr in1 = element_y(in); + //simpler but slower: + //element_pow_mpz(out, f, tateexp); + + //1. Exponentiate by q-1 + //which is equivalent to the following + + element_invert(temp, in); + element_neg(in1, in1); + element_mul(in, in, temp); + + //2. Exponentiate by (q+1)/r + + //Instead of: + // element_pow_mpz(out, in, cofactor); + //we use Lucas sequences (see "Compressed Pairings", Scott and Barreto) + lucas_odd(out, in, temp, cofactor); +} + +//computes a Qx + b Qy + c for type A pairing +static inline void a_miller_evalfn(element_ptr out, + element_ptr a, element_ptr b, element_ptr c, + element_ptr Qx, element_ptr Qy) { + //we'll map Q via (x,y) --> (-x, iy) + //hence Re(a Qx + b Qy + c) = -a Q'x + c and + //Im(a Qx + b Qy + c) = b Q'y + element_mul(element_y(out), a, Qx); + element_sub(element_x(out), c, element_y(out)); + element_mul(element_y(out), b, Qy); +} + +static void a_pairing_pp_apply(element_ptr out, element_ptr in2, pairing_pp_t p) { + //TODO: use proj coords here too to shave off a little time + element_ptr Qx = curve_x_coord(in2); + element_ptr Qy = curve_y_coord(in2); + element_t f, f0; + int i, n; + a_pairing_data_ptr ainfo = p->pairing->data; + pp_coeff_t *coeff = p->data; + element_init(f, ainfo->Fq2); + element_init(f0, ainfo->Fq2); + + element_set1(f); + n = ainfo->exp1; + for (i=0; i<n; i++) { + pp_coeff_ptr pp = coeff[i]; + element_square(f, f); + a_miller_evalfn(f0, pp->a, pp->b, pp->c, Qx, Qy); + element_mul(f, f, f0); + } + if (ainfo->sign1 < 0) { + element_invert(out, f); + } else { + element_set(out, f); + } + n = ainfo->exp2; + for (; i<n; i++) { + element_square(f, f); + pp_coeff_ptr pp = coeff[i]; + a_miller_evalfn(f0, pp->a, pp->b, pp->c, Qx, Qy); + element_mul(f, f, f0); + } + + element_mul(f, f, out); + { + pp_coeff_ptr pp = coeff[i]; + a_miller_evalfn(f0, pp->a, pp->b, pp->c, Qx, Qy); + element_mul(f, f, f0); + } + + a_tateexp(out, f, f0, p->pairing->phikonr); + + element_clear(f); + element_clear(f0); +} + +// in1, in2 are from E(F_q), out from F_q^2. +// Pairing via elliptic nets (see Stange). +static void a_pairing_ellnet(element_ptr out, element_ptr in1, element_ptr in2, + pairing_t pairing) { + element_ptr x = curve_x_coord(in1); + element_ptr y = curve_y_coord(in1); + + element_ptr x2 = curve_x_coord(in2); + element_ptr y2 = curve_y_coord(in2); + + //we map (x2,y2) to (-x2, i y2) before pairing + //notation: cmi means c_{k-i}, ci means c_{k+i} + element_t cm3, cm2, cm1, c0, c1, c2, c3, c4; + element_t dm1, d0, d1; + element_t A, B, C; + + element_init_same_as(cm3, x); + element_init_same_as(cm2, x); + element_init_same_as(cm1, x); + element_init_same_as(c0, x); + element_init_same_as(c1, x); + element_init_same_as(c2, x); + element_init_same_as(c3, x); + element_init_same_as(c4, x); + element_init_same_as(C, x); + + element_init_same_as(dm1, out); + element_init_same_as(d0, out); + element_init_same_as(d1, out); + element_init_same_as(A, x); + element_init_same_as(B, out); + + // c1 = 2y + // c0 = 1 + // cm2 = -1 + // cm3 = -2y + element_double(c1, y); + element_set1(c0); + element_neg(cm3, c1); + element_neg(cm2, c0); + + // a = 1, b = 0 for Y^2 = X^3 + X + //hence c3 = c_{k+3} = c_4 = 4y(x^6 + 5(x^4 - x^2) - 1) + //use cm1, C, c2 as temp variables for now + element_square(cm1, x); + element_square(C, cm1); + element_sub(c2, C, cm1); + element_double(c3, c2); + element_double(c3, c3); + element_add(c3, c3, c2); + element_mul(c2, C, cm1); + element_add(c3, c3, c2); + element_add(c3, c3, cm2); + element_mul(c3, c3, c1); + element_double(c3, c3); + + // c2 = c_3 = 3x^4 + 6x^2 - 1 + element_double(cm1, cm1); + element_add(cm1, cm1, C); + element_double(C, cm1); + element_add(C, C, cm1); + element_add(c2, C, cm2); + + // c4 = c_5 = c_2^3 c_4 - c_3^3 = c1^3 c3 - c2^3 + element_square(C, c1); + element_mul(c4, C, c1); + element_mul(c4, c4, c3); + element_square(C, c2); + element_mul(C, C, c2); + element_sub(c4, c4, C); + + //compute A, B, d1 (which is d_2 since k = 1) + //(recall phi takes x2 to -x2, y2 to i y2) + element_add(A, x, x2); + element_double(C, x); + element_sub(C, C, x2); + element_square(cm1, A); + element_mul(cm1, C, cm1); + element_set(element_x(d1), y); + element_set(element_y(d1), y2); + element_square(d1, d1); + element_sub(element_x(d1), element_x(d1), cm1); + element_neg(B, d1); + element_invert(B, B); + element_invert(A, A); + element_mul(element_x(d1), y, A); + element_neg(element_x(d1), element_x(d1)); + element_mul(element_y(d1), y2, A); + element_square(d1, d1); + element_sub(element_x(d1), C, element_x(d1)); + element_neg(element_y(d1), element_y(d1)); + + // cm1 = 0 + // C = (2y)^-1 + element_set0(cm1); + element_invert(C, c1); + + element_set1(dm1); + element_set1(d0); + + element_t sm2, sm1; + element_t s0, s1, s2, s3; + element_t tm2, tm1; + element_t t0, t1, t2, t3; + element_t e0, e1; + element_t u, v; + + element_init_same_as(sm2, x); + element_init_same_as(sm1, x); + element_init_same_as(s0, x); + element_init_same_as(s1, x); + element_init_same_as(s2, x); + element_init_same_as(s3, x); + + element_init_same_as(tm2, x); + element_init_same_as(tm1, x); + element_init_same_as(t0, x); + element_init_same_as(t1, x); + element_init_same_as(t2, x); + element_init_same_as(t3, x); + + element_init_same_as(e0, x); + element_init_same_as(e1, x); + + element_init_same_as(u, d0); + element_init_same_as(v, d0); + + int m = mpz_sizeinbase(pairing->r, 2) - 2; + for (;;) { + element_square(sm2, cm2); + element_square(sm1, cm1); + element_square(s0, c0); + element_square(s1, c1); + element_square(s2, c2); + element_square(s3, c3); + + element_mul(tm2, cm3, cm1); + element_mul(tm1, cm2, c0); + element_mul(t0, cm1, c1); + element_mul(t1, c0, c2); + element_mul(t2, c1, c3); + element_mul(t3, c2, c4); + + element_square(u, d0); + element_mul(v, dm1, d1); + + if (mpz_tstbit(pairing->r, m)) { + //double-and-add + element_mul(e0, t0, sm2); + element_mul(e1, tm2, s0); + element_sub(cm3, e0, e1); + element_mul(cm3, cm3, C); + + element_mul(e0, t0, sm1); + element_mul(e1, tm1, s0); + element_sub(cm2, e0, e1); + + element_mul(e0, t1, sm1); + element_mul(e1, tm1, s1); + element_sub(cm1, e0, e1); + element_mul(cm1, cm1, C); + + element_mul(e0, t1, s0); + element_mul(e1, t0, s1); + element_sub(c0, e0, e1); + + element_mul(e0, t2, s0); + element_mul(e1, t0, s2); + element_sub(c1, e0, e1); + element_mul(c1, c1, C); + + element_mul(e0, t2, s1); + element_mul(e1, t1, s2); + element_sub(c2, e0, e1); + + element_mul(e0, t3, s1); + element_mul(e1, t1, s3); + element_sub(c3, e0, e1); + element_mul(c3, c3, C); + + element_mul(e0, t3, s2); + element_mul(e1, t2, s3); + element_sub(c4, e0, e1); + + element_mul(element_x(out), element_x(u), t0); + element_mul(element_y(out), element_y(u), t0); + element_mul(element_x(dm1), element_x(v), s0); + element_mul(element_y(dm1), element_y(v), s0); + element_sub(dm1, dm1, out); + + element_mul(element_x(out), element_x(u), t1); + element_mul(element_y(out), element_y(u), t1); + element_mul(element_x(d0), element_x(v), s1); + element_mul(element_y(d0), element_y(v), s1); + element_sub(d0, d0, out); + element_mul(element_x(d0), element_x(d0), A); + element_mul(element_y(d0), element_y(d0), A); + + element_mul(element_x(out), element_x(u), t2); + element_mul(element_y(out), element_y(u), t2); + element_mul(element_x(d1), element_x(v), s2); + element_mul(element_y(d1), element_y(v), s2); + element_sub(d1, d1, out); + element_mul(d1, d1, B); + } else { + //double + element_mul(e0, tm1, sm2); + element_mul(e1, tm2, sm1); + element_sub(cm3, e0, e1); + + element_mul(e0, t0, sm2); + element_mul(e1, tm2, s0); + element_sub(cm2, e0, e1); + element_mul(cm2, cm2, C); + + element_mul(e0, t0, sm1); + element_mul(e1, tm1, s0); + element_sub(cm1, e0, e1); + + element_mul(e0, t1, sm1); + element_mul(e1, tm1, s1); + element_sub(c0, e0, e1); + element_mul(c0, c0, C); + + element_mul(e0, t1, s0); + element_mul(e1, t0, s1); + element_sub(c1, e0, e1); + + element_mul(e0, t2, s0); + element_mul(e1, t0, s2); + element_sub(c2, e0, e1); + element_mul(c2, c2, C); + + element_mul(e0, t2, s1); + element_mul(e1, t1, s2); + element_sub(c3, e0, e1); + + element_mul(e0, t3, s1); + element_mul(e1, t1, s3); + element_sub(c4, e0, e1); + element_mul(c4, c4, C); + + element_mul(element_x(out), element_x(u), tm1); + element_mul(element_y(out), element_y(u), tm1); + element_mul(element_x(dm1), element_x(v), sm1); + element_mul(element_y(dm1), element_y(v), sm1); + element_sub(dm1, dm1, out); + + element_mul(element_x(out), element_x(u), t0); + element_mul(element_y(out), element_y(u), t0); + element_mul(element_x(d0), element_x(v), s0); + element_mul(element_y(d0), element_y(v), s0); + element_sub(d0, d0, out); + + element_mul(element_x(out), element_x(u), t1); + element_mul(element_y(out), element_y(u), t1); + element_mul(element_x(d1), element_x(v), s1); + element_mul(element_y(d1), element_y(v), s1); + element_sub(d1, d1, out); + element_mul(element_x(d1), element_x(d1), A); + element_mul(element_y(d1), element_y(d1), A); + } + if (!m) break; + m--; + } + // since c_k lies base field + // it gets killed by the final powering + //element_invert(c1, c1); + //element_mul(element_x(d1), element_x(d1), c1); + //element_mul(element_y(d1), element_y(d1), c1); + + a_tateexp(out, d1, d0, pairing->phikonr); + + element_clear(dm1); + element_clear(d0); + element_clear(d1); + + element_clear(cm3); + element_clear(cm2); + element_clear(cm1); + element_clear(c0); + element_clear(c1); + element_clear(c2); + element_clear(c3); + element_clear(c4); + + element_clear(sm2); + element_clear(sm1); + element_clear(s0); + element_clear(s1); + element_clear(s2); + element_clear(s3); + + element_clear(tm2); + element_clear(tm1); + element_clear(t0); + element_clear(t1); + element_clear(t2); + element_clear(t3); + + element_clear(e0); + element_clear(e1); + element_clear(A); + element_clear(B); + element_clear(C); + element_clear(u); + element_clear(v); +} + +struct ellnet_pp_st_s { + element_t sm1, s0, s1, s2; + element_t tm1, t0, t1, t2; +}; +typedef struct ellnet_pp_st_s ellnet_pp_st_t[1]; +typedef struct ellnet_pp_st_s *ellnet_pp_st_ptr; + +struct ellnet_pp_s { + element_t x; + element_t y; + ellnet_pp_st_t *seq; +}; +typedef struct ellnet_pp_s ellnet_pp_t[1]; +typedef struct ellnet_pp_s *ellnet_pp_ptr; + +static void a_pairing_ellnet_pp_init(pairing_pp_t p, element_ptr in1, pairing_t pairing) { + element_ptr x = curve_x_coord(in1); + element_ptr y = curve_y_coord(in1); + int i, rbits = mpz_sizeinbase(pairing->r, 2); + ellnet_pp_ptr pp = p->data = pbc_malloc(sizeof(ellnet_pp_t)); + pp->seq = pbc_malloc(sizeof(ellnet_pp_st_t) * rbits); + element_init_same_as(pp->x, x); + element_init_same_as(pp->y, y); + element_set(pp->x, x); + element_set(pp->y, y); + for (i=0; i<rbits; i++) { + ellnet_pp_st_ptr seq = pp->seq[i]; + element_init_same_as(seq->sm1, x); + element_init_same_as(seq->s0, x); + element_init_same_as(seq->s1, x); + element_init_same_as(seq->s2, x); + element_init_same_as(seq->tm1, x); + element_init_same_as(seq->t0, x); + element_init_same_as(seq->t1, x); + element_init_same_as(seq->t2, x); + } + + //we map (x2,y2) to (-x2, i y2) before pairing + //notation: cmi means c_{k-i}, ci means c_{k+i} + element_t cm3, cm2, cm1, c0, c1, c2, c3, c4; + element_t C; + + element_init_same_as(cm3, x); + element_init_same_as(cm2, x); + element_init_same_as(cm1, x); + element_init_same_as(c0, x); + element_init_same_as(c1, x); + element_init_same_as(c2, x); + element_init_same_as(c3, x); + element_init_same_as(c4, x); + element_init_same_as(C, x); + + // c1 = 2y + // c0 = 1 + // cm2 = -1 + // cm3 = -2y + element_double(c1, y); + element_set1(c0); + element_neg(cm3, c1); + element_neg(cm2, c0); + + // a = 1, b = 0 for Y^2 = X^3 + X + //hence c3 = c_{k+3} = c_4 = 4y(x^6 + 5(x^4 - x^2) - 1) + //use cm1, C, c2 as temp variables for now + element_square(cm1, x); + element_square(C, cm1); + element_sub(c2, C, cm1); + element_double(c3, c2); + element_double(c3, c3); + element_add(c3, c3, c2); + element_mul(c2, C, cm1); + element_add(c3, c3, c2); + element_add(c3, c3, cm2); + element_mul(c3, c3, c1); + element_double(c3, c3); + + // c2 = c_3 = 3x^4 + 6x^2 - 1 + element_double(cm1, cm1); + element_add(cm1, cm1, C); + element_double(C, cm1); + element_add(C, C, cm1); + element_add(c2, C, cm2); + + // c4 = c_5 = c_2^3 c_4 - c_3^3 = c1^3 c3 - c2^3 + element_square(C, c1); + element_mul(c4, C, c1); + element_mul(c4, c4, c3); + element_square(C, c2); + element_mul(C, C, c2); + element_sub(c4, c4, C); + + // cm1 = 0 + // C = (2y)^-1 + element_set0(cm1); + element_invert(C, c1); + + int k = 0; + element_t sm2, s3; + element_t tm2, t3; + element_ptr sm1, s0, s1, s2; + element_ptr tm1, t0, t1, t2; + element_t e0, e1; + + element_init_same_as(sm2, x); + element_init_same_as(s3, x); + + element_init_same_as(tm2, x); + element_init_same_as(t3, x); + + element_init_same_as(e0, x); + element_init_same_as(e1, x); + + int m = rbits - 2; + for (;;) { + ellnet_pp_st_ptr seq = pp->seq[k]; + sm1 = seq->sm1; + s0 = seq->s0; + s1 = seq->s1; + s2 = seq->s2; + tm1 = seq->tm1; + t0 = seq->t0; + t1 = seq->t1; + t2 = seq->t2; + + element_square(sm2, cm2); + element_square(sm1, cm1); + element_square(s0, c0); + element_square(s1, c1); + element_square(s2, c2); + element_square(s3, c3); + + element_mul(tm2, cm3, cm1); + element_mul(tm1, cm2, c0); + element_mul(t0, cm1, c1); + element_mul(t1, c0, c2); + element_mul(t2, c1, c3); + element_mul(t3, c2, c4); + + if (!m) break; + k++; + + if (mpz_tstbit(pairing->r, m)) { + //double-and-add + element_mul(e0, t0, sm2); + element_mul(e1, tm2, s0); + element_sub(cm3, e0, e1); + element_mul(cm3, cm3, C); + + element_mul(e0, t0, sm1); + element_mul(e1, tm1, s0); + element_sub(cm2, e0, e1); + + element_mul(e0, t1, sm1); + element_mul(e1, tm1, s1); + element_sub(cm1, e0, e1); + element_mul(cm1, cm1, C); + + element_mul(e0, t1, s0); + element_mul(e1, t0, s1); + element_sub(c0, e0, e1); + + element_mul(e0, t2, s0); + element_mul(e1, t0, s2); + element_sub(c1, e0, e1); + element_mul(c1, c1, C); + + element_mul(e0, t2, s1); + element_mul(e1, t1, s2); + element_sub(c2, e0, e1); + + element_mul(e0, t3, s1); + element_mul(e1, t1, s3); + element_sub(c3, e0, e1); + element_mul(c3, c3, C); + + element_mul(e0, t3, s2); + element_mul(e1, t2, s3); + element_sub(c4, e0, e1); + + } else { + //double + element_mul(e0, tm1, sm2); + element_mul(e1, tm2, sm1); + element_sub(cm3, e0, e1); + + element_mul(e0, t0, sm2); + element_mul(e1, tm2, s0); + element_sub(cm2, e0, e1); + element_mul(cm2, cm2, C); + + element_mul(e0, t0, sm1); + element_mul(e1, tm1, s0); + element_sub(cm1, e0, e1); + + element_mul(e0, t1, sm1); + element_mul(e1, tm1, s1); + element_sub(c0, e0, e1); + element_mul(c0, c0, C); + + element_mul(e0, t1, s0); + element_mul(e1, t0, s1); + element_sub(c1, e0, e1); + + element_mul(e0, t2, s0); + element_mul(e1, t0, s2); + element_sub(c2, e0, e1); + element_mul(c2, c2, C); + + element_mul(e0, t2, s1); + element_mul(e1, t1, s2); + element_sub(c3, e0, e1); + + element_mul(e0, t3, s1); + element_mul(e1, t1, s3); + element_sub(c4, e0, e1); + element_mul(c4, c4, C); + } + m--; + } + + element_clear(cm3); + element_clear(cm2); + element_clear(cm1); + element_clear(c0); + element_clear(c1); + element_clear(c2); + element_clear(c3); + element_clear(c4); + + element_clear(sm2); + element_clear(s3); + + element_clear(tm2); + element_clear(t3); + + element_clear(e0); + element_clear(e1); + element_clear(C); +} + +static void a_pairing_ellnet_pp_clear(pairing_pp_t p) { + ellnet_pp_ptr pp = p->data; + int i, rbits = mpz_sizeinbase(p->pairing->r, 2); + for (i=0; i<rbits; i++) { + ellnet_pp_st_ptr seq = pp->seq[i]; + element_clear(seq->sm1); + element_clear(seq->s0); + element_clear(seq->s1); + element_clear(seq->s2); + element_clear(seq->tm1); + element_clear(seq->t0); + element_clear(seq->t1); + element_clear(seq->t2); + } + element_clear(pp->x); + element_clear(pp->y); + pbc_free(pp->seq); + pbc_free(p->data); +} + +static void a_pairing_ellnet_pp_apply(element_ptr out, element_ptr in2, pairing_pp_t p) { + element_ptr x2 = curve_x_coord(in2); + element_ptr y2 = curve_y_coord(in2); + ellnet_pp_ptr pp = p->data; + int rbits = mpz_sizeinbase(p->pairing->r, 2); + int k = 0; + int m = rbits - 2; + element_t A, B; + element_t e0, e1; + element_t dm1, d0, d1; + element_t u, v; + + element_init_same_as(A, x2); + element_init_same_as(B, out); + element_init_same_as(e0, x2); + element_init_same_as(e1, x2); + element_init_same_as(dm1, out); + element_init_same_as(d0, out); + element_init_same_as(d1, out); + element_init_same_as(u, out); + element_init_same_as(v, out); + + element_add(A, pp->x, x2); + element_double(e0, pp->x); + element_sub(e0, e0, x2); + element_square(e1, A); + element_mul(e1, e0, e1); + element_set(element_x(d1), pp->y); + element_set(element_y(d1), y2); + element_square(d1, d1); + element_sub(element_x(d1), element_x(d1), e1); + element_neg(B, d1); + element_invert(B, B); + element_invert(A, A); + element_mul(element_x(d1), pp->y, A); + element_neg(element_x(d1), element_x(d1)); + element_mul(element_y(d1), y2, A); + element_square(d1, d1); + element_sub(element_x(d1), e0, element_x(d1)); + element_neg(element_y(d1), element_y(d1)); + + element_set1(dm1); + element_set1(d0); + for (;;) { + element_ptr sm1, s0, s1, s2; + element_ptr tm1, t0, t1, t2; + ellnet_pp_st_ptr seq = pp->seq[k]; + sm1 = seq->sm1; + s0 = seq->s0; + s1 = seq->s1; + s2 = seq->s2; + tm1 = seq->tm1; + t0 = seq->t0; + t1 = seq->t1; + t2 = seq->t2; + k++; + + element_square(u, d0); + element_mul(v, dm1, d1); + + if (mpz_tstbit(p->pairing->r, m)) { + //double-and-add + element_mul(element_x(out), element_x(u), t0); + element_mul(element_y(out), element_y(u), t0); + element_mul(element_x(dm1), element_x(v), s0); + element_mul(element_y(dm1), element_y(v), s0); + element_sub(dm1, dm1, out); + + element_mul(element_x(out), element_x(u), t1); + element_mul(element_y(out), element_y(u), t1); + element_mul(element_x(d0), element_x(v), s1); + element_mul(element_y(d0), element_y(v), s1); + element_sub(d0, d0, out); + element_mul(element_x(d0), element_x(d0), A); + element_mul(element_y(d0), element_y(d0), A); + + element_mul(element_x(out), element_x(u), t2); + element_mul(element_y(out), element_y(u), t2); + element_mul(element_x(d1), element_x(v), s2); + element_mul(element_y(d1), element_y(v), s2); + element_sub(d1, d1, out); + element_mul(d1, d1, B); + } else { + //double + element_mul(element_x(out), element_x(u), tm1); + element_mul(element_y(out), element_y(u), tm1); + element_mul(element_x(dm1), element_x(v), sm1); + element_mul(element_y(dm1), element_y(v), sm1); + element_sub(dm1, dm1, out); + + element_mul(element_x(out), element_x(u), t0); + element_mul(element_y(out), element_y(u), t0); + element_mul(element_x(d0), element_x(v), s0); + element_mul(element_y(d0), element_y(v), s0); + element_sub(d0, d0, out); + + element_mul(element_x(out), element_x(u), t1); + element_mul(element_y(out), element_y(u), t1); + element_mul(element_x(d1), element_x(v), s1); + element_mul(element_y(d1), element_y(v), s1); + element_sub(d1, d1, out); + element_mul(element_x(d1), element_x(d1), A); + element_mul(element_y(d1), element_y(d1), A); + } + if (!m) break; + m--; + } + a_tateexp(out, d1, d0, p->pairing->phikonr); + + element_clear(A); + element_clear(B); + element_clear(e0); + element_clear(e1); + element_clear(dm1); + element_clear(d0); + element_clear(d1); + element_clear(u); + element_clear(v); +} + +//in1, in2 are from E(F_q), out from F_q^2 +static void a_pairing_proj(element_ptr out, element_ptr in1, element_ptr in2, + pairing_t pairing) { + a_pairing_data_ptr p = pairing->data; + element_t V, V1; + element_t z, z2; + element_t f, f0, f1; + element_t a, b, c; + element_t e0; + const element_ptr e1 = a, e2 = b, e3 = c; + int i, n; + element_ptr Vx, Vy; + element_ptr V1x, V1y; + element_ptr Qx = curve_x_coord(in2); + element_ptr Qy = curve_y_coord(in2); + + //could save a couple of inversions by avoiding + //this function and rewriting do_line() to handle projective coords + //convert V from weighted projective (Jacobian) to affine + //i.e. (X, Y, Z) --> (X/Z^2, Y/Z^3) + //also sets z to 1 + #define point_to_affine() \ + element_invert(z, z); \ + element_square(e0, z); \ + element_mul(Vx, Vx, e0); \ + element_mul(e0, e0, z); \ + element_mul(Vy, Vy, e0); \ + element_set1(z); \ + element_set1(z2); + + #define proj_double() { \ + /* e0 = 3x^2 + (cc->a) z^4 */ \ + /* for this case a = 1 */ \ + element_square(e0, Vx); \ + /*element_mul_si(e0, e0, 3);*/ \ + element_double(e1, e0); \ + element_add(e0, e1, e0); \ + element_square(e1, z2); \ + element_add(e0, e0, e1); \ + \ + /* z_out = 2 y z */ \ + element_mul(z, Vy, z); \ + /*element_mul_si(z, z, 2);*/ \ + element_double(z, z); \ + element_square(z2, z); \ + \ + /* e1 = 4 x y^2 */ \ + element_square(e2, Vy); \ + element_mul(e1, Vx, e2); \ + /*element_mul_si(e1, e1, 4);*/ \ + element_double(e1, e1); \ + element_double(e1, e1); \ + \ + /* x_out = e0^2 - 2 e1 */ \ + element_double(e3, e1); \ + element_square(Vx, e0); \ + element_sub(Vx, Vx, e3); \ + \ + /* e2 = 8y^4 */ \ + element_square(e2, e2); \ + /*element_mul_si(e2, e2, 8);*/ \ + element_double(e2, e2); \ + element_double(e2, e2); \ + element_double(e2, e2); \ + \ + /*y_out = e0(e1 - x_out) - e2*/\ + element_sub(e1, e1, Vx); \ + element_mul(e0, e0, e1); \ + element_sub(Vy, e0, e2); \ + } + + #define do_tangent() \ + compute_abc_tangent_proj(a, b, c, Vx, Vy, z, z2, e0); \ + a_miller_evalfn(f0, a, b, c, Qx, Qy); \ + element_mul(f, f, f0); + + #define do_line() \ + compute_abc_line(a, b, c, Vx, Vy, V1x, V1y, e0); \ + a_miller_evalfn(f0, a, b, c, Qx, Qy); \ + element_mul(f, f, f0); + + element_init(V, p->Eq); + element_init(V1, p->Eq); + element_set(V, in1); + + Vx = curve_x_coord(V); + Vy = curve_y_coord(V); + V1x = curve_x_coord(V1); + V1y = curve_y_coord(V1); + + element_init(f, p->Fq2); + element_init(f0, p->Fq2); + element_init(f1, p->Fq2); + element_set1(f); + element_init(a, p->Fq); + element_init(b, p->Fq); + element_init(c, p->Fq); + element_init(e0, p->Fq); + element_init(z, p->Fq); + element_init(z2, p->Fq); + element_set1(z); + element_set1(z2); + n = p->exp1; + for (i=0; i<n; i++) { + //f = f^2 g_V,V(Q) + //where g_V,V = tangent at V + element_square(f, f); + do_tangent(); + proj_double(); + } + point_to_affine(); + if (p->sign1 < 0) { + element_neg(V1, V); + element_invert(f1, f); + } else { + element_set(V1, V); + element_set(f1, f); + } + n = p->exp2; + for (; i<n; i++) { + element_square(f, f); + do_tangent(); + proj_double(); + } + + element_mul(f, f, f1); + point_to_affine(); + do_line(); + + a_tateexp(out, f, f0, pairing->phikonr); + + element_clear(f); + element_clear(f0); + element_clear(f1); + element_clear(z); + element_clear(z2); + element_clear(V); + element_clear(V1); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(e0); + #undef point_to_affine + #undef proj_double + #undef do_tangent + #undef do_line +} + +//in1, in2 are from E(F_q), out from F_q^2 +static void a_pairing_affine(element_ptr out, element_ptr in1, element_ptr in2, + pairing_t pairing) { + a_pairing_data_ptr p = pairing->data; + element_t V, V1; + element_t f, f0, f1; + element_t a, b, c; + element_t e0; + int i, n; + element_ptr Qx = curve_x_coord(in2); + element_ptr Qy = curve_y_coord(in2); + element_ptr Vx, Vy; + element_ptr V1x, V1y; + + #define do_tangent() \ + compute_abc_tangent(a, b, c, Vx, Vy, e0); \ + a_miller_evalfn(f0, a, b, c, Qx, Qy); \ + element_mul(f, f, f0); + + #define do_line() \ + compute_abc_line(a, b, c, Vx, Vy, V1x, V1y, e0); \ + a_miller_evalfn(f0, a, b, c, Qx, Qy); \ + element_mul(f, f, f0); + + element_init(V, p->Eq); + element_init(V1, p->Eq); + Vx = curve_x_coord(V); + Vy = curve_y_coord(V); + + V1x = curve_x_coord(V1); + V1y = curve_y_coord(V1); + + element_set(V, in1); + element_init(f, p->Fq2); + element_init(f0, p->Fq2); + element_init(f1, p->Fq2); + element_set1(f); + element_init(a, p->Fq); + element_init(b, p->Fq); + element_init(c, p->Fq); + element_init(e0, p->Fq); + n = p->exp1; + for (i=0; i<n; i++) { + //f = f^2 g_V,V(Q) + //where g_V,V = tangent at V + element_square(f, f); + do_tangent(); + element_double(V, V); + } + if (p->sign1 < 0) { + element_neg(V1, V); + element_invert(f1, f); + } else { + element_set(V1, V); + element_set(f1, f); + } + n = p->exp2; + for (; i<n; i++) { + element_square(f, f); + do_tangent(); + element_double(V, V); + } + + element_mul(f, f, f1); + do_line(); + + a_tateexp(out, f, f0, pairing->phikonr); + + element_clear(f); + element_clear(f0); + element_clear(f1); + element_clear(V); + element_clear(V1); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(e0); + #undef do_tangent + #undef do_line +} + +// On Computing Products of Pairing +//in1, in2 are from E(F_q), out from F_q^2 +void a_pairings_affine(element_ptr out, element_t in1[], element_t in2[], + int n_prod, pairing_t pairing) { + a_pairing_data_ptr p = pairing->data; + element_t* V = pbc_malloc(sizeof(element_t)*n_prod); + element_t* V1 = pbc_malloc(sizeof(element_t)*n_prod); + element_t f, f0, f1; + element_t a, b, c; + element_t e0; + int i, j, n; + element_ptr Qx, Qy; + element_ptr Vx, Vy; + element_ptr V1x, V1y; + + #define do_tangents() \ + for(j=0; j<n_prod; j++){ \ + Vx = curve_x_coord(V[j]); \ + Vy = curve_y_coord(V[j]); \ + Qx = curve_x_coord(in2[j]); \ + Qy = curve_y_coord(in2[j]); \ + \ + compute_abc_tangent(a, b, c, Vx, Vy, e0); \ + a_miller_evalfn(f0, a, b, c, Qx, Qy); \ + element_mul(f, f, f0); \ + } + + #define do_lines() \ + for(j=0;j<n_prod;j++){ \ + Vx = curve_x_coord(V[j]); \ + Vy = curve_y_coord(V[j]); \ + V1x = curve_x_coord(V1[j]); \ + V1y = curve_y_coord(V1[j]); \ + Qx = curve_x_coord(in2[j]); \ + Qy = curve_y_coord(in2[j]); \ + \ + compute_abc_line(a, b, c, Vx, Vy, V1x, V1y, e0); \ + a_miller_evalfn(f0, a, b, c, Qx, Qy); \ + element_mul(f, f, f0); \ + } + + for(i=0; i<n_prod; i++){ + element_init(V[i],p->Eq); + element_init(V1[i],p->Eq); + element_set(V[i],in1[i]); + } + + + element_init(f, p->Fq2); + element_init(f0, p->Fq2); + element_init(f1, p->Fq2); + element_set1(f); + element_init(a, p->Fq); + element_init(b, p->Fq); + element_init(c, p->Fq); + element_init(e0, p->Fq); + n = p->exp1; + for (i=0; i<n; i++) { + //f = f^2 g_V,V(Q) + //where g_V,V = tangent at V + element_square(f, f); + do_tangents(); + element_multi_double(V, V, n_prod); //V_i = V_i + V_i for all i at one time. + } + if (p->sign1 < 0) { + for(j=0; j<n_prod; j++){ + element_neg(V1[j], V[j]); + } + element_invert(f1, f); + } else { + for(j=0; j<n_prod; j++){ + element_set(V1[j], V[j]); + } + element_set(f1, f); + } + n = p->exp2; + for (; i<n; i++) { + element_square(f, f); + do_tangents(); + element_multi_double(V, V, n_prod); + } + + element_mul(f, f, f1); + do_lines(); + + a_tateexp(out, f, f0, pairing->phikonr); + + element_clear(f); + element_clear(f0); + element_clear(f1); + for(j=0;j<n_prod;j++){ + element_clear(V[j]); + element_clear(V1[j]); + } + pbc_free(V); + pbc_free(V1); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(e0); + #undef do_tangents + #undef do_lines +} + +static void a_pairing_clear(pairing_t pairing) { + field_clear(pairing->GT); + + a_pairing_data_ptr p = pairing->data; + field_clear(p->Eq); + field_clear(p->Fq); + field_clear(p->Fq2); + pbc_free(p); + + mpz_clear(pairing->r); + mpz_clear(pairing->phikonr); + field_clear(pairing->Zr); +} + +static void a_pairing_option_set(pairing_t pairing, char *key, char *value) { + if (!strcmp(key, "method")) { + if (!strcmp(value, "miller")) { + pairing->map = a_pairing_proj; + pairing->pp_init = a_pairing_pp_init; + pairing->pp_clear = a_pairing_pp_clear; + pairing->pp_apply = a_pairing_pp_apply; + } else if (!strcmp(value, "miller-affine")) { + pairing->map = a_pairing_affine; + pairing->pp_init = a_pairing_pp_init; + pairing->pp_clear = a_pairing_pp_clear; + pairing->pp_apply = a_pairing_pp_apply; + } else if (!strcmp(value, "shipsey-stange")) { + pairing->map = a_pairing_ellnet; + pairing->pp_init = a_pairing_ellnet_pp_init; + pairing->pp_clear = a_pairing_ellnet_pp_clear; + pairing->pp_apply = a_pairing_ellnet_pp_apply; + } + } +} + +static void a_finalpow(element_t e) { + pairing_ptr pairing = e->field->pairing; + element_t t0, t1; + element_init_same_as(t0, e->data); + element_init_same_as(t1, e->data); + a_tateexp(t0, e->data, t1, pairing->phikonr); + element_set(e->data, t0); + element_clear(t0); + element_clear(t1); +} + +static void a_init_pairing(pairing_ptr pairing, void *data) { + a_param_ptr param = data; + element_t a, b; + a_pairing_data_ptr p; + + p = pairing->data = pbc_malloc(sizeof(*p)); + p->exp2 = param->exp2; + p->exp1 = param->exp1; + p->sign1 = param->sign1; + mpz_init(pairing->r); + mpz_set(pairing->r, param->r); + field_init_fp(pairing->Zr, pairing->r); + pairing->map = a_pairing_proj; + pairing->prod_pairings = a_pairings_affine; + + field_init_fp(p->Fq, param->q); + element_init(a, p->Fq); + element_init(b, p->Fq); + element_set1(a); + element_set0(b); + field_init_curve_ab(p->Eq, a, b, pairing->r, param->h); + element_clear(a); + element_clear(b); + + field_init_fi(p->Fq2, p->Fq); + + //k=2, hence phi_k(q) = q + 1, phikonr = (q+1)/r + mpz_init(pairing->phikonr); + mpz_set(pairing->phikonr, param->h); + + pairing->G1 = p->Eq; + pairing->G2 = pairing->G1; + pairing->phi = phi_identity; + pairing_GT_init(pairing, p->Fq2); + pairing->finalpow = a_finalpow; + + pairing->clear_func = a_pairing_clear; + pairing->option_set = a_pairing_option_set; + pairing->pp_init = a_pairing_pp_init; + pairing->pp_clear = a_pairing_pp_clear; + pairing->pp_apply = a_pairing_pp_apply; +} + +static void a_param_init(pbc_param_ptr par) { + static pbc_param_interface_t interface = {{ + a_clear, + a_init_pairing, + a_out_str, + }}; + par->api = interface; + a_param_ptr p = par->data = pbc_malloc(sizeof(*p)); + mpz_init(p->r); + mpz_init(p->q); + mpz_init(p->h); +} + +// Public interface for type A pairings: + +int pbc_param_init_a(pbc_param_ptr par, struct symtab_s *tab) { + a_param_init(par); + a_param_ptr p = par->data; + + int err = 0; + err += lookup_mpz(p->q, tab, "q"); + err += lookup_mpz(p->r, tab, "r"); + err += lookup_mpz(p->h, tab, "h"); + err += lookup_int(&p->exp2, tab, "exp2"); + err += lookup_int(&p->exp1, tab, "exp1"); + err += lookup_int(&p->sign1, tab, "sign1"); + err += lookup_int(&p->sign0, tab, "sign0"); + return err; +} + +void pbc_param_init_a_gen(pbc_param_ptr par, int rbits, int qbits) { + a_param_init(par); + a_param_ptr sp = par->data; + int found = 0; + + mpz_ptr q = sp->q; + mpz_ptr r = sp->r; + mpz_ptr h = sp->h; + + do { + int i; + mpz_set_ui(r, 0); + + if (rand() % 2) { + sp->exp2 = rbits - 1; + sp->sign1 = 1; + } else { + sp->exp2 = rbits; + sp->sign1 = -1; + } + mpz_setbit(r, sp->exp2); + + //use q as a temp variable + mpz_set_ui(q, 0); + sp->exp1 = (rand() % (sp->exp2 - 1)) + 1; + mpz_setbit(q, sp->exp1); + if (sp->sign1 > 0) { + mpz_add(r, r, q); + } else { + mpz_sub(r, r, q); + } + + if (rand() % 2) { + sp->sign0 = 1; + mpz_add_ui(r, r, 1); + } else { + sp->sign0 = -1; + mpz_sub_ui(r, r, 1); + } + if (!mpz_probab_prime_p(r, 10)) continue; + for (i=0; i<10; i++) { + int bit; + //use q as a temp variable + mpz_set_ui(q, 0); + bit = qbits - rbits - 4 + 1; + if (bit < 3) bit = 3; + mpz_setbit(q, bit); + pbc_mpz_random(h, q); + mpz_mul_ui(h, h, 12); + //finally q takes the value it should + mpz_mul(q, h, r); + mpz_sub_ui(q, q, 1); + if (mpz_probab_prime_p(q, 10)) { + found = 1; + break; + } + } + } while (!found); +} + +// Type A1 pairings: + +struct a1_param_s { + mpz_t p; + mpz_t n; + int l; +}; +typedef struct a1_param_s a1_param_t[1]; +typedef struct a1_param_s *a1_param_ptr; + +struct a1_pairing_data_s { + field_t Fp, Fp2, Ep; +}; +typedef struct a1_pairing_data_s a1_pairing_data_t[1]; +typedef struct a1_pairing_data_s *a1_pairing_data_ptr; + +static void a1_clear(void *data) { + a1_param_ptr param = data; + mpz_clear(param->p); + mpz_clear(param->n); + pbc_free(data); +} + +static void a1_out_str(FILE *stream, void *data) { + a1_param_ptr p = data; + param_out_type(stream, "a1"); + param_out_mpz(stream, "p", p->p); + param_out_mpz(stream, "n", p->n); + param_out_int(stream, "l", p->l); +} + +struct pp2_coeff_s { + element_t cx2; + element_t cy2; + element_t cxy; + element_t cx; + element_t cy; + element_t c; +}; +typedef struct pp2_coeff_s pp2_coeff_t[1]; +typedef struct pp2_coeff_s *pp2_coeff_ptr; + +static void pp2_coeff_set(pp2_coeff_ptr p, + element_t cx2, element_t cy2, element_t cxy, + element_t cx, element_t cy, element_t c) { + element_init(p->cx2, cx2->field); + element_init(p->cy2, cy2->field); + element_init(p->cxy, cxy->field); + element_init(p->cx, cx->field); + element_init(p->cy, cy->field); + element_init(p->c, c->field); + element_set(p->cx2, cx2); + element_set(p->cy2, cy2); + element_set(p->cxy, cxy); + element_set(p->cx, cx); + element_set(p->cy, cy); + element_set(p->c, c); +} + +static void a1_pairing_pp_clear(pairing_pp_t p) { + void **pp = p->data; + while (*pp) { + pbc_free(*pp); + pp++; + } + pbc_free(p->data); +} + +static void a1_pairing_pp_init(pairing_pp_t p, element_ptr in1, pairing_t pairing) { + int m; + element_ptr Px = curve_x_coord(in1); + element_ptr Py = curve_y_coord(in1); + a1_pairing_data_ptr a1info = pairing->data; + p->data = pbc_malloc(sizeof(void *) * mpz_sizeinbase(pairing->r, 2)); + void **pp = p->data; + element_t V; + element_t a, b, c; + element_t a2, b2, c2; + element_t e0, e1, e2; + element_ptr Vx, Vy; + + #define do_tangent() compute_abc_tangent(a, b, c, Vx, Vy, e0); + + #define do_line() compute_abc_line(a2, b2, c2, Vx, Vy, Px, Py, e0); + + element_init(V, a1info->Ep); + element_set(V, in1); + Vx = curve_x_coord(V); + Vy = curve_y_coord(V); + + element_init(a, a1info->Fp); + element_init(b, a1info->Fp); + element_init(c, a1info->Fp); + element_init(e0, a1info->Fp); + element_init(e1, a1info->Fp); + element_init(e2, a1info->Fp); + element_init(a2, a1info->Fp); + element_init(b2, a1info->Fp); + element_init(c2, a1info->Fp); + + m = mpz_sizeinbase(pairing->r, 2) - 2; + + for(;;) { + do_tangent(); + if (!m) break; + element_double(V, V); + + if (mpz_tstbit(pairing->r, m)) { + do_line(); + element_add(V, V, in1); + //preprocess two at once + //e0 = coeff of x + element_mul(e0, a, c2); + element_mul(e1, a2, c); + element_add(e0, e0, e1); + + //e1 = coeff of y + element_mul(e1, b2, c); + element_mul(e2, b, c2); + element_add(e1, e1, e2); + + //c = constant term + element_mul(c, c, c2); + + //c2 = coeff of xy + element_mul(c2, a, b2); + element_mul(e2, a2, b); + element_add(c2, c2, e2); + + //a = coeff of x^2 + element_mul(a, a, a2); + + //b = coeff of y^2 + element_mul(b, b, b2); + + *pp = pbc_malloc(sizeof(pp2_coeff_t)); + pp2_coeff_set(*pp, a, b, c2, e0, e1, c); + } else { + *pp = pbc_malloc(sizeof(pp_coeff_t)); + pp_coeff_set(*pp, a, b, c); + } + pp++; + m--; + } + *pp = pbc_malloc(sizeof(pp_coeff_t)); + pp_coeff_set(*pp, a, b, c); + pp++; + *pp = NULL; + + element_clear(a2); + element_clear(b2); + element_clear(c2); + element_clear(e2); + element_clear(e1); + element_clear(e0); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(V); + #undef do_tangent + #undef do_line +} + +static void a1_pairing_pp_apply(element_ptr out, element_ptr in2, pairing_pp_t p) { + void **pp = p->data; + a1_pairing_data_ptr a1info = p->pairing->data; + element_t f, f0; + element_t e0, e1; + int m; + element_ptr Qx = curve_x_coord(in2); + element_ptr Qy = curve_y_coord(in2); + element_t Qx2, Qy2, Qxy; + + #define do_tangent() \ + pp_coeff_ptr ppp = *pp; \ + a_miller_evalfn(f0, ppp->a, ppp->b, ppp->c, Qx, Qy); + + #define do_line() { \ + pp2_coeff_ptr ppp = *pp; \ + /*we'll map Q via (x,y) --> (-x, iy) */ \ + /*hence Qx^2 = x^2, Qy^2 = -y^2, Qx Qy = -ixy */\ + /*where x = Q'x, y = Q'y */ \ + \ + /* Re = cx2 x^2 - cy2 y^2 - cx x + c */ \ + /* Im = -cxy xy + cy y */ \ + element_mul(e0, ppp->cx2, Qx2); \ + element_mul(e1, ppp->cy2, Qy2); \ + element_sub(e0, e0, e1); \ + element_mul(e1, ppp->cx, Qx); \ + element_sub(e0, e0, e1); \ + element_add(element_x(f0), e0, ppp->c); \ + \ + element_mul(e0, ppp->cy, Qy); \ + element_mul(e1, ppp->cxy, Qxy); \ + element_sub(element_y(f0), e0, e1); \ + } + + element_init(f, out->field); + element_init(f0, out->field); + + element_set1(f); + + element_init(e0, a1info->Fp); + element_init(e1, a1info->Fp); + element_init(Qx2, a1info->Fp); + element_init(Qy2, a1info->Fp); + element_init(Qxy, a1info->Fp); + + element_square(Qx2, Qx); + element_square(Qy2, Qy); + element_mul(Qxy, Qx, Qy); + + m = mpz_sizeinbase(p->pairing->r, 2) - 2; + + while (m > 0) { + if (mpz_tstbit(p->pairing->r, m)) { + do_line(); + } else { + do_tangent(); + } + element_mul(f, f, f0); + pp++; + m--; + element_square(f, f); + } + do_tangent(); + element_mul(f, f, f0); + + //Tate exponentiation + //simpler but slower: + //element_pow_mpz(out, f, p->tateexp); + //use this trick instead: + element_invert(f0, f); + element_neg(element_y(f), element_y(f)); + element_mul(f, f, f0); + element_pow_mpz(out, f, p->pairing->phikonr); + + /* We could use this instead but p->h is small so this does not help much + a_tateexp(out, f, f0, p->h); + */ + + element_clear(Qx2); + element_clear(Qy2); + element_clear(Qxy); + element_clear(f); + element_clear(f0); + element_clear(e1); + element_clear(e0); + #undef do_tangent + #undef do_line +} + +// e0 is a temp var. +// Mixed coordinates. +static void compute_abc_line_proj(element_ptr a, element_ptr b, element_ptr c, + element_ptr Vx, element_ptr Vy, element_ptr z, element_ptr z2, + element_ptr V1x, element_ptr V1y, element_ptr e0) { + //temporally used to store Z1^3 + element_mul(c,z,z2); + //a = Y1-Y2*Z1^3 + element_mul(e0,V1y,c); + element_sub(a,Vy,e0); + //b = -(X1*Z1-X2*Z1^3) + element_mul(b,c,V1x); + element_mul(e0,Vx,z); + element_sub(b,b,e0); + //c = -(Y2*b+X2*a) + element_mul(c,b,V1y); + element_mul(e0,a,V1x); + element_add(c,c,e0); + element_neg(c,c); +} + +// in1, in2 are from E(F_q), out from F_q^2 +static void a1_pairing_proj(element_ptr out, element_ptr in1, element_ptr in2, + pairing_t pairing) { + a1_pairing_data_ptr p = pairing->data; + element_t V; + element_t z, z2; + element_t f, f0; + element_t a, b, c; + element_t e0; + const element_ptr e1 = a, e2 = b, e3 = c; // used in point_to_affine() etc. + int m; + element_ptr Px = curve_x_coord(in1); + element_ptr Py = curve_y_coord(in1); + element_ptr Qx = curve_x_coord(in2); + element_ptr Qy = curve_y_coord(in2); + element_ptr Vx; + element_ptr Vy; + + #define point_to_affine() \ + element_invert(z, z); \ + element_square(e0, z); \ + element_mul(Vx, Vx, e0); \ + element_mul(e0, e0, z); \ + element_mul(Vy, Vy, e0); \ + element_set1(z); \ + element_set1(z2); + + //TODO: do I need to check if V=-in1? + //Where V=(Vx,Vy,z) and in1=(Px,Py,1), a mixed coordinates. + #define proj_add() { \ + /* H=X2*Z1^2-X1 */ \ + element_mul(e0,Px,z2); \ + element_sub(e0,e0,Vx); \ + /* H^2 */ \ + element_square(e1,e0); \ + /* r=Y2*Z1^3-Y1 */ \ + element_mul(e2,z,z2); \ + element_mul(e2,e2,Py); \ + element_sub(e2,e2,Vy); \ + \ + /* X3=r^2-H^3-2X1*H^2 */ \ + element_set(z2,Vx); /* use z2 to store X1 and update Vx=X3 */ \ + element_square(Vx,e2); \ + element_mul(e3,e0,e1); /* e3=H^3 */ \ + element_sub(Vx,Vx,e3); \ + element_double(e3,z2); \ + element_mul(e3,e3,e1); /* 2X1*H^2 */ \ + element_sub(Vx,Vx,e3); \ + /* Y3=r(X1*H^2-X3)-Y1*H^3 */ \ + element_mul(e3,z2,e1); \ + element_sub(e3,e3,Vx); \ + element_mul(e3,e3,e2); \ + element_mul(e2,e0,e1); /* e2 no longer used. */ \ + element_mul(e2,e2,Vy); \ + element_sub(Vy,e3,e2); \ + /* Z3=Z1*H */ \ + element_mul(z,z,e0); \ + element_square(z2,z); \ + } + + #define proj_double() { \ + /* e0 = 3x^2 + (cc->a) z^4 */ \ + /* for this case a = 1 */ \ + element_square(e0, Vx); \ + /* element_mul_si(e0, e0, 3); */ \ + element_double(e1, e0); \ + element_add(e0, e1, e0); \ + element_square(e1, z2); \ + element_add(e0, e0, e1); \ + \ + /* z_out = 2 y z */ \ + element_mul(z, Vy, z); \ + /* element_mul_si(z, z, 2); */ \ + element_double(z, z); \ + element_square(z2, z); \ + \ + /* e1 = 4 x y^2 */ \ + element_square(e2, Vy); \ + element_mul(e1, Vx, e2); \ + /* element_mul_si(e1, e1, 4); */ \ + element_double(e1, e1); \ + element_double(e1, e1); \ + \ + /* x_out = e0^2 - 2 e1 */ \ + element_double(e3, e1); \ + element_square(Vx, e0); \ + element_sub(Vx, Vx, e3); \ + \ + /* e2 = 8y^4 */ \ + element_square(e2, e2); \ + /* element_mul_si(e2, e2, 8); */ \ + element_double(e2, e2); \ + element_double(e2, e2); \ + element_double(e2, e2); \ + \ + /* y_out = e0(e1 - x_out) - e2 */ \ + element_sub(e1, e1, Vx); \ + element_mul(e0, e0, e1); \ + element_sub(Vy, e0, e2); \ + } + + #define do_tangent() { \ + compute_abc_tangent_proj(a, b, c, Vx, Vy, z, z2, e0); \ + a_miller_evalfn(f0, a, b, c, Qx, Qy); \ + element_mul(f, f, f0); \ + } + + #define do_line() { \ + compute_abc_line_proj(a, b, c, Vx, Vy, z, z2, Px, Py, e0); \ + a_miller_evalfn(f0, a, b, c, Qx, Qy); \ + element_mul(f, f, f0); \ + } + + element_init(V, p->Ep); + element_set(V, in1); + Vx = curve_x_coord(V); + Vy = curve_y_coord(V); + + element_init(f, p->Fp2); + element_init(f0, p->Fp2); + element_set1(f); + element_init(a, p->Fp); + element_init(b, p->Fp); + element_init(c, p->Fp); + element_init(e0, p->Fp); + element_init(z, p->Fp); + element_init(z2, p->Fp); + element_set1(z); + element_set1(z2); + + m = mpz_sizeinbase(pairing->r, 2) - 2; + //TODO: sliding NAF + for(;;) { + do_tangent(); + if (!m) break; + + proj_double(); //V=2V + if (mpz_tstbit(pairing->r, m)) { + // point_to_affine(); + do_line(); + proj_add(); //V=V+in1 + } + + m--; + element_square(f, f); + } + + // Tate exponentiation. + // Simpler but slower: + // element_pow_mpz(out, f, p->tateexp); + // Use this trick instead: + element_invert(f0, f); + element_neg(element_y(f), element_y(f)); + element_mul(f, f, f0); + element_pow_mpz(out, f, pairing->phikonr); + + /* We could use this instead but p->h is small so this does not help much + a_tateexp(out, f, f0, p->h); + */ + + element_clear(f); + element_clear(f0); + element_clear(z); + element_clear(z2); + element_clear(V); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(e0); + #undef point_to_affine + #undef proj_add + #undef proj_double + #undef do_tangent + #undef do_line +} + +//in1, in2 are from E(F_q), out from F_q^2 +static void a1_pairing(element_ptr out, element_ptr in1, element_ptr in2, + pairing_t pairing) { + a1_pairing_data_ptr p = pairing->data; + element_t V; + element_t f, f0; + element_t a, b, c; + element_t e0; + int m; + element_ptr Px = curve_x_coord(in1); + element_ptr Py = curve_y_coord(in1); + element_ptr Qx = curve_x_coord(in2); + element_ptr Qy = curve_y_coord(in2); + element_ptr Vx; + element_ptr Vy; + + #define do_tangent() { \ + compute_abc_tangent(a, b, c, Vx, Vy, e0); \ + a_miller_evalfn(f0, a, b, c, Qx, Qy); \ + element_mul(f, f, f0); \ + } + + #define do_line() { \ + compute_abc_line(a, b, c, Vx, Vy, Px, Py, e0); \ + a_miller_evalfn(f0, a, b, c, Qx, Qy); \ + element_mul(f, f, f0); \ + } + + element_init(V, p->Ep); + element_set(V, in1); + Vx = curve_x_coord(V); + Vy = curve_y_coord(V); + + element_init(f, p->Fp2); + element_init(f0, p->Fp2); + element_set1(f); + element_init(a, p->Fp); + element_init(b, p->Fp); + element_init(c, p->Fp); + element_init(e0, p->Fp); + + m = mpz_sizeinbase(pairing->r, 2) - 2; + + //TODO: sliding NAF + for(;;) { + do_tangent(); + if (!m) break; + + element_double(V, V); + if (mpz_tstbit(pairing->r, m)) { + do_line(); + element_add(V, V, in1); + } + + m--; + element_square(f, f); + } + + // Tate exponentiation. + // Simpler but slower: + // element_pow_mpz(out, f, p->tateexp); + // Use this trick instead: + element_invert(f0, f); + element_neg(element_y(f), element_y(f)); + element_mul(f, f, f0); + element_pow_mpz(out, f, pairing->phikonr); + + /* We could use this instead but p->h is small so this does not help much + a_tateexp(out, f, f0, p->h); + */ + + element_clear(f); + element_clear(f0); + element_clear(V); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(e0); + #undef do_tangent + #undef do_line +} + +//in1, in2 are from E(F_q), out from F_q^2 +void a1_pairings_affine(element_ptr out, element_t in1[], element_t in2[], + int n_prod, pairing_t pairing) { + a1_pairing_data_ptr p = pairing->data; + element_t* V = pbc_malloc(sizeof(element_t)*n_prod); + element_t f, f0; + element_t a, b, c; + element_t e0; + int m, i; + element_ptr Px, Py; + element_ptr Qx, Qy; + element_ptr Vx, Vy; + + #define do_tangents() { \ + for(i=0; i<n_prod; i++){ \ + Vx = curve_x_coord(V[i]); \ + Vy = curve_y_coord(V[i]); \ + Qx = curve_x_coord(in2[i]); \ + Qy = curve_y_coord(in2[i]); \ + compute_abc_tangent(a, b, c, Vx, Vy, e0); \ + a_miller_evalfn(f0, a, b, c, Qx, Qy); \ + element_mul(f, f, f0); \ + } \ + } + + #define do_lines() { \ + for(i=0; i<n_prod; i++){ \ + Vx = curve_x_coord(V[i]); \ + Vy = curve_y_coord(V[i]); \ + Px = curve_x_coord(in1[i]); \ + Py = curve_y_coord(in1[i]); \ + Qx = curve_x_coord(in2[i]); \ + Qy = curve_y_coord(in2[i]); \ + compute_abc_line(a, b, c, Vx, Vy, Px, Py, e0); \ + a_miller_evalfn(f0, a, b, c, Qx, Qy); \ + element_mul(f, f, f0); \ + } \ + } + + for(i=0; i<n_prod; i++){ + element_init(V[i], p->Ep); + element_set(V[i], in1[i]); + } + element_init(f, p->Fp2); + element_init(f0, p->Fp2); + element_set1(f); + element_init(a, p->Fp); + element_init(b, p->Fp); + element_init(c, p->Fp); + element_init(e0, p->Fp); + + m = mpz_sizeinbase(pairing->r, 2) - 2; + + //TODO: sliding NAF + for(;;) { + do_tangents(); + if (!m) break; + element_multi_double(V, V, n_prod); + if (mpz_tstbit(pairing->r, m)) { + do_lines(); + element_multi_add(V, V, in1, n_prod); + } + + m--; + element_square(f, f); + } + + // Tate exponentiation. + // Simpler but slower: + // element_pow_mpz(out, f, p->tateexp); + // Use this trick instead: + element_invert(f0, f); + element_neg(element_y(f), element_y(f)); + element_mul(f, f, f0); + element_pow_mpz(out, f, pairing->phikonr); + + /* We could use this instead but p->h is small so this does not help much + a_tateexp(out, f, f0, p->h); + */ + + element_clear(f); + element_clear(f0); + for(i=0; i<n_prod; i++){ + element_clear(V[i]); + } + pbc_free(V); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(e0); + #undef do_tangents + #undef do_lines +} + +static void a1_pairing_clear(pairing_t pairing) { + field_clear(pairing->GT); + + a1_pairing_data_ptr p = pairing->data; + field_clear(p->Ep); + field_clear(p->Fp2); + field_clear(p->Fp); + pbc_free(p); + + mpz_clear(pairing->phikonr); + mpz_clear(pairing->r); + field_clear(pairing->Zr); +} + +static void a1_pairing_option_set(pairing_t pairing, char *key, char *value) { + if (!strcmp(key, "method")) { + if (!strcmp(value, "miller")) { + pairing->map = a1_pairing_proj; + pairing->pp_init = a1_pairing_pp_init; + pairing->pp_clear = a1_pairing_pp_clear; + pairing->pp_apply = a1_pairing_pp_apply; + } else if (!strcmp(value, "miller-affine")){ + pairing->map = a1_pairing; + pairing->pp_init = a1_pairing_pp_init; + pairing->pp_clear = a1_pairing_pp_clear; + pairing->pp_apply = a1_pairing_pp_apply; + } else if (!strcmp(value, "shipsey-stange")) { + pairing->map = a_pairing_ellnet; + pairing->pp_init = a_pairing_ellnet_pp_init; + pairing->pp_clear = a_pairing_ellnet_pp_clear; + pairing->pp_apply = a_pairing_ellnet_pp_apply; + } + } +} + +static void a1_init_pairing(pairing_t pairing, void *data) { + a1_param_ptr param = data; + element_t a, b; + mpz_init(pairing->r); + mpz_set(pairing->r, param->n); + field_init_fp(pairing->Zr, pairing->r); + + a1_pairing_data_ptr p; + + p = pairing->data = pbc_malloc(sizeof(a1_pairing_data_t)); + + //k=2, hence phi_k(q) = q + 1, phikonr = (q+1)/r + mpz_init(pairing->phikonr); + mpz_set_ui(pairing->phikonr, param->l); + + field_init_fp(p->Fp, param->p); + element_init(a, p->Fp); + element_init(b, p->Fp); + element_set1(a); + element_set0(b); + field_init_curve_ab(p->Ep, a, b, pairing->r, pairing->phikonr); + + // Turns out to be faster. + field_curve_use_random_solvefory(p->Ep); + + element_clear(a); + element_clear(b); + field_init_fi(p->Fp2, p->Fp); + + pairing->finalpow = a_finalpow; + pairing->G1 = pbc_malloc(sizeof(field_t)); + pairing->G2 = pairing->G1 = p->Ep; + pairing_GT_init(pairing, p->Fp2); + + pairing->map = a1_pairing_proj; //default uses projective coordinates. + pairing->phi = phi_identity; + pairing->prod_pairings = a1_pairings_affine; + + pairing->clear_func = a1_pairing_clear; + + pairing->pp_init = a1_pairing_pp_init; + pairing->pp_clear = a1_pairing_pp_clear; + pairing->pp_apply = a1_pairing_pp_apply; + pairing->option_set = a1_pairing_option_set; +} + +static void a1_init(pbc_param_t p) { + static pbc_param_interface_t interface = {{ + a1_clear, + a1_init_pairing, + a1_out_str, + }}; + p->api = interface; + a1_param_ptr param = p->data = pbc_malloc(sizeof(*param)); + mpz_init(param->p); + mpz_init(param->n); +} + +// Public interface: + +int pbc_param_init_a1(pbc_param_ptr par, struct symtab_s *tab) { + a1_init(par); + a1_param_ptr p = par->data; + + int err = 0; + err += lookup_mpz(p->p, tab, "p"); + err += lookup_mpz(p->n, tab, "n"); + err += lookup_int(&p->l, tab, "l"); + return err; +} + +void pbc_param_init_a1_gen(pbc_param_ptr par, mpz_t order) { + a1_init(par); + a1_param_ptr param = par->data; + // If order is even, ideally check all even l, not just multiples of 4 + // but I don't see a good reason for having an even order. + unsigned int l = 4; + mpz_t n; + mpz_ptr p = param->p; + mpz_init(n); + mpz_mul_ui(n, order, 4); + mpz_sub_ui(p, n, 1); + for (;;) { + if (mpz_probab_prime_p(p, 20)) { + break; + } + mpz_add(p, p, n); + l += 4; + } + param->l = l; + mpz_set(param->n, order); + mpz_clear(n); +} diff --git a/moon-abe/pbc-0.5.14/ecc/curve.c b/moon-abe/pbc-0.5.14/ecc/curve.c new file mode 100644 index 00000000..3bc1f020 --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/curve.c @@ -0,0 +1,987 @@ +#include <ctype.h> +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <string.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_multiz.h" +#include "pbc_poly.h" +#include "pbc_curve.h" +#include "pbc_memory.h" +#include "pbc_random.h" +#include "misc/darray.h" + +// Per-field data. +typedef struct { + field_ptr field; // The field where the curve is defined. + element_t a, b; // The curve is E: Y^2 = X^3 + a X + b. + // cofac == NULL means we're using the whole group of points. + // otherwise we're working in the subgroup of order #E / cofac, + // where #E is the number of points in E. + mpz_ptr cofac; + // A generator of E. + element_t gen_no_cofac; + // A generator of the subgroup. + element_t gen; + // A non-NULL quotient_cmp means we are working with the quotient group of + // order #E / quotient_cmp, and the points are actually coset + // representatives. Thus for a comparison, we must multiply by quotient_cmp + // before comparing. + mpz_ptr quotient_cmp; +} *curve_data_ptr; + +// Per-element data. Elements of this group are points on the elliptic curve. +typedef struct { + int inf_flag; // inf_flag == 1 means O, the point at infinity. + element_t x, y; // Otherwise we have the finite point (x, y). +} *point_ptr; + +static void curve_init(element_ptr e) { + curve_data_ptr cdp = e->field->data; + point_ptr p = e->data = pbc_malloc(sizeof(*p)); + element_init(p->x, cdp->field); + element_init(p->y, cdp->field); + p->inf_flag = 1; +} + +static void curve_clear(element_ptr e) { + point_ptr p = e->data; + element_clear(p->x); + element_clear(p->y); + pbc_free(e->data); +} + +static int curve_is_valid_point(element_ptr e) { + element_t t0, t1; + int result; + curve_data_ptr cdp = e->field->data; + point_ptr p = e->data; + + if (p->inf_flag) return 1; + + element_init(t0, cdp->field); + element_init(t1, cdp->field); + element_square(t0, p->x); + element_add(t0, t0, cdp->a); + element_mul(t0, t0, p->x); + element_add(t0, t0, cdp->b); + element_square(t1, p->y); + result = !element_cmp(t0, t1); + + element_clear(t0); + element_clear(t1); + return result; +} + +static void curve_invert(element_ptr c, element_ptr a) { + point_ptr r = c->data, p = a->data; + + if (p->inf_flag) { + r->inf_flag = 1; + return; + } + r->inf_flag = 0; + element_set(r->x, p->x); + element_neg(r->y, p->y); +} + +static void curve_set(element_ptr c, element_ptr a) { + point_ptr r = c->data, p = a->data; + if (p->inf_flag) { + r->inf_flag = 1; + return; + } + r->inf_flag = 0; + element_set(r->x, p->x); + element_set(r->y, p->y); +} + +static inline void double_no_check(point_ptr r, point_ptr p, element_ptr a) { + element_t lambda, e0, e1; + field_ptr f = r->x->field; + + element_init(lambda, f); + element_init(e0, f); + element_init(e1, f); + + //lambda = (3x^2 + a) / 2y + element_square(lambda, p->x); + element_mul_si(lambda, lambda, 3); + element_add(lambda, lambda, a); + + element_double(e0, p->y); + + element_invert(e0, e0); + element_mul(lambda, lambda, e0); + //x1 = lambda^2 - 2x + //element_add(e1, p->x, p->x); + element_double(e1, p->x); + element_square(e0, lambda); + element_sub(e0, e0, e1); + //y1 = (x - x1)lambda - y + element_sub(e1, p->x, e0); + element_mul(e1, e1, lambda); + element_sub(e1, e1, p->y); + + element_set(r->x, e0); + element_set(r->y, e1); + r->inf_flag = 0; + + element_clear(lambda); + element_clear(e0); + element_clear(e1); + return; +} + +static void curve_double(element_ptr c, element_ptr a) { + curve_data_ptr cdp = a->field->data; + point_ptr r = c->data, p = a->data; + if (p->inf_flag) { + r->inf_flag = 1; + return; + } + if (element_is0(p->y)) { + r->inf_flag = 1; + return; + } + double_no_check(r, p, cdp->a); +} + +static void curve_mul(element_ptr c, element_ptr a, element_ptr b) { + curve_data_ptr cdp = a->field->data; + point_ptr r = c->data, p = a->data, q = b->data; + + if (p->inf_flag) { + curve_set(c, b); + return; + } + if (q->inf_flag) { + curve_set(c, a); + return; + } + if (!element_cmp(p->x, q->x)) { + if (!element_cmp(p->y, q->y)) { + if (element_is0(p->y)) { + r->inf_flag = 1; + return; + } else { + double_no_check(r, p, cdp->a); + return; + } + } + //points are inverses of each other + r->inf_flag = 1; + return; + } else { + element_t lambda, e0, e1; + + element_init(lambda, cdp->field); + element_init(e0, cdp->field); + element_init(e1, cdp->field); + + //lambda = (y2-y1)/(x2-x1) + element_sub(e0, q->x, p->x); + element_invert(e0, e0); + element_sub(lambda, q->y, p->y); + element_mul(lambda, lambda, e0); + //x3 = lambda^2 - x1 - x2 + element_square(e0, lambda); + element_sub(e0, e0, p->x); + element_sub(e0, e0, q->x); + //y3 = (x1-x3)lambda - y1 + element_sub(e1, p->x, e0); + element_mul(e1, e1, lambda); + element_sub(e1, e1, p->y); + + element_set(r->x, e0); + element_set(r->y, e1); + r->inf_flag = 0; + + element_clear(lambda); + element_clear(e0); + element_clear(e1); + } +} + +//compute c_i=a_i+a_i at one time. +static void multi_double(element_ptr c[], element_ptr a[], int n) { + int i; + element_t* table = pbc_malloc(sizeof(element_t)*n); //a big problem? + element_t e0, e1, e2; + point_ptr q, r; + curve_data_ptr cdp = a[0]->field->data; + + q=a[0]->data; + element_init(e0,q->y->field); + element_init(e1,q->y->field); + element_init(e2,q->y->field); + + for(i=0; i<n; i++){ + q=a[i]->data; r=c[i]->data; + element_init(table[i],q->y->field); + + if (q->inf_flag) { + r->inf_flag = 1; + continue; + } + if (element_is0(q->y)) { + r->inf_flag = 1; + continue; + } + } + //to compute 1/2y multi. see Cohen's GTM139 Algorithm 10.3.4 + for(i=0; i<n; i++){ + q=a[i]->data; + element_double(table[i],q->y); + if(i>0) element_mul(table[i],table[i],table[i-1]); + } + element_invert(e2,table[n-1]); //ONLY ONE inv is required now. + for(i=n-1; i>0; i--){ + q=a[i]->data; + element_mul(table[i],table[i-1],e2); + element_mul(e2,e2,q->y); + element_double(e2,e2); //e2=e2*2y_j + } + element_set(table[0],e2); //e2 no longer used. + + for(i=0; i<n; i++){ + q=a[i]->data; + r=c[i]->data; + if(r->inf_flag) continue; + + //e2=lambda = (3x^2 + a) / 2y + element_square(e2, q->x); + element_mul_si(e2, e2, 3); + element_add(e2, e2, cdp->a); + + element_mul(e2, e2, table[i]); //Recall that table[i]=1/2y_i + //x1 = lambda^2 - 2x + element_double(e1, q->x); + element_square(e0, e2); + element_sub(e0, e0, e1); + //y1 = (x - x1)lambda - y + element_sub(e1, q->x, e0); + element_mul(e1, e1, e2); + element_sub(e1, e1, q->y); + element_set(r->x, e0); + element_set(r->y, e1); + r->inf_flag = 0; + } + + element_clear(e0); + element_clear(e1); + element_clear(e2); + for(i=0; i<n; i++){ + element_clear(table[i]); + } + pbc_free(table); +} + +//compute c_i=a_i+b_i at one time. +static void multi_add(element_ptr c[], element_ptr a[], element_ptr b[], int n){ + int i; + element_t* table = pbc_malloc(sizeof(element_t)*n); //a big problem? + point_ptr p, q, r; + element_t e0, e1, e2; + curve_data_ptr cdp = a[0]->field->data; + + p = a[0]->data; + q = b[0]->data; + element_init(e0, p->x->field); + element_init(e1, p->x->field); + element_init(e2, p->x->field); + + element_init(table[0], p->x->field); + element_sub(table[0], q->x, p->x); + for(i=1; i<n; i++){ + p = a[i]->data; + q = b[i]->data; + element_init(table[i], p->x->field); + element_sub(table[i], q->x, p->x); + element_mul(table[i], table[i], table[i-1]); + } + element_invert(e2, table[n-1]); + for(i=n-1; i>0; i--){ + p = a[i]->data; + q = b[i]->data; + element_mul(table[i], table[i-1], e2); + element_sub(e1, q->x, p->x); + element_mul(e2,e2,e1); //e2=e2*(x2_j-x1_j) + } + element_set(table[0],e2); //e2 no longer used. + + for(i=0; i<n; i++){ + p = a[i]->data; + q = b[i]->data; + r = c[i]->data; + if (p->inf_flag) { + curve_set(c[i], b[i]); + continue; + } + if (q->inf_flag) { + curve_set(c[i], a[i]); + continue; + } + if (!element_cmp(p->x, q->x)) { //a[i]=b[i] + if (!element_cmp(p->y, q->y)) { + if (element_is0(p->y)) { + r->inf_flag = 1; + continue; + } else { + double_no_check(r, p, cdp->a); + continue; + } + } + //points are inverses of each other + r->inf_flag = 1; + continue; + } else { + //lambda = (y2-y1)/(x2-x1) + element_sub(e2, q->y, p->y); + element_mul(e2, e2, table[i]); + //x3 = lambda^2 - x1 - x2 + element_square(e0, e2); + element_sub(e0, e0, p->x); + element_sub(e0, e0, q->x); + //y3 = (x1-x3)lambda - y1 + element_sub(e1, p->x, e0); + element_mul(e1, e1, e2); + element_sub(e1, e1, p->y); + element_set(r->x, e0); + element_set(r->y, e1); + r->inf_flag = 0; + } + } + element_clear(e0); + element_clear(e1); + element_clear(e2); + for(i=0; i<n; i++){ + element_clear(table[i]); + } + pbc_free(table); +} + + +static inline int point_cmp(point_ptr p, point_ptr q) { + if (p->inf_flag || q->inf_flag) { + return !(p->inf_flag && q->inf_flag); + } + return element_cmp(p->x, q->x) || element_cmp(p->y, q->y); +} + +static int curve_cmp(element_ptr a, element_ptr b) { + if (a == b) { + return 0; + } else { + // If we're working with a quotient group we must account for different + // representatives of the same coset. + curve_data_ptr cdp = a->field->data; + if (cdp->quotient_cmp) { + element_t e; + element_init_same_as(e, a); + element_div(e, a, b); + element_pow_mpz(e, e, cdp->quotient_cmp); + int result = !element_is1(e); + element_clear(e); + return result; + } + return point_cmp(a->data, b->data); + } +} + +static void curve_set1(element_ptr x) { + point_ptr p = x->data; + p->inf_flag = 1; +} + +static int curve_is1(element_ptr x) { + point_ptr p = x->data; + return p->inf_flag; +} + +static void curve_random_no_cofac_solvefory(element_ptr a) { + //TODO: with 0.5 probability negate y-coord + curve_data_ptr cdp = a->field->data; + point_ptr p = a->data; + element_t t; + + element_init(t, cdp->field); + p->inf_flag = 0; + do { + element_random(p->x); + element_square(t, p->x); + element_add(t, t, cdp->a); + element_mul(t, t, p->x); + element_add(t, t, cdp->b); + } while (!element_is_sqr(t)); + element_sqrt(p->y, t); + element_clear(t); +} + +static void curve_random_solvefory(element_ptr a) { + curve_data_ptr cdp = a->field->data; + curve_random_no_cofac_solvefory(a); + if (cdp->cofac) element_mul_mpz(a, a, cdp->cofac); +} + +static void curve_random_pointmul(element_ptr a) { + curve_data_ptr cdp = a->field->data; + mpz_t x; + mpz_init(x); + + pbc_mpz_random(x, a->field->order); + element_mul_mpz(a, cdp->gen, x); + mpz_clear(x); +} + +void field_curve_use_random_solvefory(field_ptr f) { + f->random = curve_random_solvefory; +} + +void curve_set_gen_no_cofac(element_ptr a) { + curve_data_ptr cdp = a->field->data; + element_set(a, cdp->gen_no_cofac); +} + +static int curve_sign(element_ptr e) { + point_ptr p = e->data; + if (p->inf_flag) return 0; + return element_sign(p->y); +} + +static void curve_from_hash(element_t a, void *data, int len) { + element_t t, t1; + point_ptr p = a->data; + curve_data_ptr cdp = a->field->data; + + element_init(t, cdp->field); + element_init(t1, cdp->field); + p->inf_flag = 0; + element_from_hash(p->x, data, len); + for(;;) { + element_square(t, p->x); + element_add(t, t, cdp->a); + element_mul(t, t, p->x); + element_add(t, t, cdp->b); + if (element_is_sqr(t)) break; + // Compute x <- x^2 + 1 and try again. + element_square(p->x, p->x); + element_set1(t); + element_add(p->x, p->x, t); + } + element_sqrt(p->y, t); + if (element_sgn(p->y) < 0) element_neg(p->y, p->y); + + if (cdp->cofac) element_mul_mpz(a, a, cdp->cofac); + + element_clear(t); + element_clear(t1); +} + +static size_t curve_out_str(FILE *stream, int base, element_ptr a) { + point_ptr p = a->data; + size_t result, status; + if (p->inf_flag) { + if (EOF == fputc('O', stream)) return 0; + return 1; + } + if (EOF == fputc('[', stream)) return 0; + result = element_out_str(stream, base, p->x); + if (!result) return 0; + if (EOF == fputs(", ", stream)) return 0; + status = element_out_str(stream, base, p->y); + if (!status) return 0; + if (EOF == fputc(']', stream)) return 0; + return result + status + 4; +} + +static int curve_snprint(char *s, size_t n, element_ptr a) { + point_ptr p = a->data; + size_t result = 0, left; + int status; + + #define clip_sub() { \ + result += status; \ + left = result >= n ? 0 : n - result; \ + } + + if (p->inf_flag) { + status = snprintf(s, n, "O"); + if (status < 0) return status; + return 1; + } + + status = snprintf(s, n, "["); + if (status < 0) return status; + clip_sub(); + status = element_snprint(s + result, left, p->x); + if (status < 0) return status; + clip_sub(); + status = snprintf(s + result, left, ", "); + if (status < 0) return status; + clip_sub(); + status = element_snprint(s + result, left, p->y); + if (status < 0) return status; + clip_sub(); + status = snprintf(s + result, left, "]"); + if (status < 0) return status; + return result + status; + #undef clip_sub +} + +static void curve_set_multiz(element_ptr a, multiz m) { + if (multiz_is_z(m)) { + if (multiz_is0(m)) { + element_set0(a); + return; + } + pbc_warn("bad multiz"); + return; + } else { + if (multiz_count(m) < 2) { + pbc_warn("multiz has too few coefficients"); + return; + } + point_ptr p = a->data; + p->inf_flag = 0; + element_set_multiz(p->x, multiz_at(m, 0)); + element_set_multiz(p->y, multiz_at(m, 1)); + } +} + +static int curve_set_str(element_ptr e, const char *s, int base) { + point_ptr p = e->data; + const char *cp = s; + element_set0(e); + while (*cp && isspace(*cp)) cp++; + if (*cp == 'O') { + return cp - s + 1; + } + p->inf_flag = 0; + if (*cp != '[') return 0; + cp++; + cp += element_set_str(p->x, cp, base); + while (*cp && isspace(*cp)) cp++; + if (*cp != ',') return 0; + cp++; + cp += element_set_str(p->y, cp, base); + if (*cp != ']') return 0; + + if (!curve_is_valid_point(e)) { + element_set0(e); + return 0; + } + return cp - s + 1; +} + +static void field_clear_curve(field_t f) { + curve_data_ptr cdp; + cdp = f->data; + element_clear(cdp->gen); + element_clear(cdp->gen_no_cofac); + if (cdp->cofac) { + mpz_clear(cdp->cofac); + pbc_free(cdp->cofac); + } + if (cdp->quotient_cmp) { + mpz_clear(cdp->quotient_cmp); + pbc_free(cdp->quotient_cmp); + } + element_clear(cdp->a); + element_clear(cdp->b); + pbc_free(cdp); +} + +static int curve_length_in_bytes(element_ptr x) { + point_ptr p = x->data; + return element_length_in_bytes(p->x) + element_length_in_bytes(p->y); +} + +static int curve_to_bytes(unsigned char *data, element_t e) { + point_ptr P = e->data; + int len; + len = element_to_bytes(data, P->x); + len += element_to_bytes(data + len, P->y); + return len; +} + +static int curve_from_bytes(element_t e, unsigned char *data) { + point_ptr P = e->data; + int len; + + P->inf_flag = 0; + len = element_from_bytes(P->x, data); + len += element_from_bytes(P->y, data + len); + //if point does not lie on curve, set it to O + if (!curve_is_valid_point(e)) { + element_set0(e); + } + return len; +} + +static void curve_out_info(FILE *out, field_t f) { + int len; + fprintf(out, "elliptic curve"); + if ((len = f->fixed_length_in_bytes)) { + fprintf(out, ", bits per coord = %d", len * 8 / 2); + } else { + fprintf(out, "variable-length"); + } +} + +static int odd_curve_is_sqr(element_ptr e) { + UNUSED_VAR(e); + return 1; +} + +//TODO: untested +static int even_curve_is_sqr(element_ptr e) { + mpz_t z; + element_t e1; + int result; + + mpz_init(z); + element_init(e1, e->field); + mpz_sub_ui(z, e->field->order, 1); + mpz_fdiv_q_2exp(z, z, 1); + element_pow_mpz(e1, e, z); + result = element_is1(e1); + + mpz_clear(z); + element_clear(e1); + return result; +} + +static int curve_item_count(element_ptr e) { + if (element_is0(e)) { + return 0; + } + return 2; +} + +static element_ptr curve_item(element_ptr e, int i) { + if (element_is0(e)) return NULL; + point_ptr P = e->data; + switch(i) { + case 0: + return P->x; + case 1: + return P->y; + default: + return NULL; + } +} + +static element_ptr curve_get_x(element_ptr e) { + point_ptr P = e->data; + return P->x; +} + +static element_ptr curve_get_y(element_ptr e) { + point_ptr P = e->data; + return P->y; +} + +void field_init_curve_ab(field_ptr f, element_ptr a, element_ptr b, mpz_t order, mpz_t cofac) { + /* + if (element_is0(a)) { + c->double_nocheck = cc_double_no_check_ais0; + } else { + c->double_nocheck = cc_double_no_check; + } + */ + curve_data_ptr cdp; + field_init(f); + mpz_set(f->order, order); + cdp = f->data = pbc_malloc(sizeof(*cdp)); + cdp->field = a->field; + element_init(cdp->a, cdp->field); + element_init(cdp->b, cdp->field); + element_set(cdp->a, a); + element_set(cdp->b, b); + + f->init = curve_init; + f->clear = curve_clear; + f->neg = f->invert = curve_invert; + f->square = f->doub = curve_double; + f->multi_doub = multi_double; + f->add = f->mul = curve_mul; + f->multi_add = multi_add; + f->mul_mpz = element_pow_mpz; + f->cmp = curve_cmp; + f->set0 = f->set1 = curve_set1; + f->is0 = f->is1 = curve_is1; + f->sign = curve_sign; + f->set = curve_set; + f->random = curve_random_pointmul; + //f->random = curve_random_solvefory; + f->from_hash = curve_from_hash; + f->out_str = curve_out_str; + f->snprint = curve_snprint; + f->set_multiz = curve_set_multiz; + f->set_str = curve_set_str; + f->field_clear = field_clear_curve; + if (cdp->field->fixed_length_in_bytes < 0) { + f->length_in_bytes = curve_length_in_bytes; + } else { + f->fixed_length_in_bytes = 2 * cdp->field->fixed_length_in_bytes; + } + f->to_bytes = curve_to_bytes; + f->from_bytes = curve_from_bytes; + f->out_info = curve_out_info; + f->item_count = curve_item_count; + f->item = curve_item; + f->get_x = curve_get_x; + f->get_y = curve_get_y; + + if (mpz_odd_p(order)) { + f->is_sqr = odd_curve_is_sqr; + } else { + f->is_sqr = even_curve_is_sqr; + } + + element_init(cdp->gen_no_cofac, f); + element_init(cdp->gen, f); + curve_random_no_cofac_solvefory(cdp->gen_no_cofac); + if (cofac) { + cdp->cofac = pbc_malloc(sizeof(mpz_t)); + mpz_init(cdp->cofac); + mpz_set(cdp->cofac, cofac); + element_mul_mpz(cdp->gen, cdp->gen_no_cofac, cofac); + } else{ + cdp->cofac = NULL; + element_set(cdp->gen, cdp->gen_no_cofac); + } + cdp->quotient_cmp = NULL; +} + +// Requires e to be a point on an elliptic curve. +int element_to_bytes_compressed(unsigned char *data, element_ptr e) { + point_ptr P = e->data; + int len; + len = element_to_bytes(data, P->x); + if (element_sign(P->y) > 0) { + data[len] = 1; + } else { + data[len] = 0; + } + len++; + return len; +} + +// Computes a point on the elliptic curve Y^2 = X^3 + a X + b given its +// x-coordinate. +// Requires a solution to exist. +static void point_from_x(point_ptr p, element_t x, element_t a, element_t b) { + element_t t; + + element_init(t, x->field); + p->inf_flag = 0; + element_square(t, x); + element_add(t, t, a); + element_mul(t, t, x); + element_add(t, t, b); + element_sqrt(p->y, t); + element_set(p->x, x); + + element_clear(t); +} + +void curve_from_x(element_ptr e, element_t x) { + curve_data_ptr cdp = e->field->data; + point_from_x(e->data, x, cdp->a, cdp->b); +} + +// Requires e to be a point on an elliptic curve. +int element_from_bytes_compressed(element_ptr e, unsigned char *data) { + curve_data_ptr cdp = e->field->data; + point_ptr P = e->data; + int len; + len = element_from_bytes(P->x, data); + point_from_x(P, P->x, cdp->a, cdp->b); + + if (data[len]) { + if (element_sign(P->y) < 0) element_neg(P->y, P->y); + } else if (element_sign(P->y) > 0) { + element_neg(P->y, P->y); + } + len++; + return len; +} + +int element_length_in_bytes_compressed(element_ptr e) { + point_ptr P = e->data; + return element_length_in_bytes(P->x) + 1; +} + +// Requires e to be a point on an elliptic curve. +int element_to_bytes_x_only(unsigned char *data, element_ptr e) { + point_ptr P = e->data; + int len; + len = element_to_bytes(data, P->x); + return len; +} + +// Requires e to be a point on an elliptic curve. +int element_from_bytes_x_only(element_ptr e, unsigned char *data) { + curve_data_ptr cdp = e->field->data; + point_ptr P = e->data; + int len; + len = element_from_bytes(P->x, data); + point_from_x(P, P->x, cdp->a, cdp->b); + return len; +} + +int element_length_in_bytes_x_only(element_ptr e) { + point_ptr P = e->data; + return element_length_in_bytes(P->x); +} + +inline element_ptr curve_x_coord(element_t e) { + return ((point_ptr) e->data)->x; +} + +inline element_ptr curve_y_coord(element_t e) { + return ((point_ptr) e->data)->y; +} + +inline element_ptr curve_a_coeff(element_t e) { + return ((curve_data_ptr) e->field->data)->a; +} + +inline element_ptr curve_b_coeff(element_t e) { + return ((curve_data_ptr) e->field->data)->b; +} + +inline element_ptr curve_field_a_coeff(field_t f) { + return ((curve_data_ptr) f->data)->a; +} + +inline element_ptr curve_field_b_coeff(field_t f) { + return ((curve_data_ptr) f->data)->b; +} + +void field_init_curve_ab_map(field_t cnew, field_t c, + fieldmap map, field_ptr mapdest, + mpz_t ordernew, mpz_t cofacnew) { + element_t a, b; + curve_data_ptr cdp = c->data; + + element_init(a, mapdest); + element_init(b, mapdest); + + map(a, cdp->a); + map(b, cdp->b); + + field_init_curve_ab(cnew, a, b, ordernew, cofacnew); + element_clear(a); + element_clear(b); +} + +// Existing points are invalidated as this mangles c. +void field_reinit_curve_twist(field_ptr c) { + curve_data_ptr cdp = c->data; + element_ptr nqr = field_get_nqr(cdp->field); + element_mul(cdp->a, cdp->a, nqr); + element_mul(cdp->a, cdp->a, nqr); + element_mul(cdp->b, cdp->b, nqr); + element_mul(cdp->b, cdp->b, nqr); + element_mul(cdp->b, cdp->b, nqr); + + // Recompute generators. + curve_random_no_cofac_solvefory(cdp->gen_no_cofac); + if (cdp->cofac) { + element_mul_mpz(cdp->gen, cdp->gen_no_cofac, cdp->cofac); + } else{ + element_set(cdp->gen, cdp->gen_no_cofac); + } +} + +// I could generalize this for all fields, but is there any point? +void field_curve_set_quotient_cmp(field_ptr c, mpz_t quotient_cmp) { + curve_data_ptr cdp = c->data; + cdp->quotient_cmp = pbc_malloc(sizeof(mpz_t)); + mpz_init(cdp->quotient_cmp); + mpz_set(cdp->quotient_cmp, quotient_cmp); +} + +// Requires j != 0, 1728. +void field_init_curve_j(field_ptr f, element_ptr j, mpz_t order, mpz_t cofac) { + element_t a, b; + element_init(a, j->field); + element_init(b, j->field); + + element_set_si(a, 1728); + element_sub(a, a, j); + element_invert(a, a); + element_mul(a, a, j); + + //b = 2 j / (1728 - j) + element_add(b, a, a); + //a = 3 j / (1728 - j) + element_add(a, a, b); + field_init_curve_ab(f, a, b, order, cofac); + + element_clear(a); + element_clear(b); +} + +void field_init_curve_b(field_ptr f, element_ptr b, mpz_t order, mpz_t cofac) { + element_t a; + element_init(a, b->field); + field_init_curve_ab(f, a, b, order, cofac); + + element_clear(a); +} + +// Compute trace of Frobenius at q^n given trace at q. +// See p.105 of Blake, Seroussi and Smart. +void pbc_mpz_trace_n(mpz_t res, mpz_t q, mpz_t trace, int n) { + int i; + mpz_t c0, c1, c2; + mpz_t t0; + + mpz_init(c0); + mpz_init(c1); + mpz_init(c2); + mpz_init(t0); + mpz_set_ui(c2, 2); + mpz_set(c1, trace); + for (i=2; i<=n; i++) { + mpz_mul(c0, trace, c1); + mpz_mul(t0, q, c2); + mpz_sub(c0, c0, t0); + mpz_set(c2, c1); + mpz_set(c1, c0); + } + mpz_set(res, c1); + mpz_clear(t0); + mpz_clear(c2); + mpz_clear(c1); + mpz_clear(c0); +} + +// Given q, t such that #E(F_q) = q - t + 1, compute #E(F_q^k). +void pbc_mpz_curve_order_extn(mpz_t res, mpz_t q, mpz_t t, int k) { + mpz_t z; + mpz_t tk; + mpz_init(z); + mpz_init(tk); + mpz_pow_ui(z, q, k); + mpz_add_ui(z, z, 1); + pbc_mpz_trace_n(tk, q, t, k); + mpz_sub(z, z, tk); + mpz_set(res, z); + mpz_clear(z); + mpz_clear(tk); +} + +void curve_set_si(element_t R, long int x, long int y) { + point_ptr p = R->data; + element_set_si(p->x, x); + element_set_si(p->y, y); + p->inf_flag = 0; +} diff --git a/moon-abe/pbc-0.5.14/ecc/d_param.c b/moon-abe/pbc-0.5.14/ecc/d_param.c new file mode 100644 index 00000000..8b7d6ac5 --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/d_param.c @@ -0,0 +1,1258 @@ +// Type D pairings, aka MNT curves. + +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <string.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_poly.h" +#include "pbc_hilbert.h" +#include "pbc_fp.h" +#include "pbc_fieldquadratic.h" +#include "pbc_mnt.h" +#include "pbc_curve.h" +#include "pbc_param.h" +#include "pbc_pairing.h" +#include "pbc_memory.h" +#include "pbc_d_param.h" +#include "ecc/param.h" + +struct d_param_s { + mpz_t q; // curve defined over F_q + mpz_t n; // has order n (= q - t + 1) in F_q + mpz_t h; // h * r = n, r is prime + mpz_t r; + mpz_t a, b; // curve equation is y^2 = x^3 + ax + b + int k; // embedding degree + mpz_t nk; // order of curve over F_q^k + mpz_t hk; // hk * r^2 = nk + mpz_t *coeff; // coefficients of polynomial used to extend F_q by k/2 + mpz_t nqr; // a quadratic nonresidue in F_q^d that lies in F_q +}; + +typedef struct d_param_s d_param_t[1]; +typedef struct d_param_s *d_param_ptr; + +// Per-pairing data. +typedef struct { + field_t Fq, Fqx, Fqd, Fqk; // The fields F_q, F_q[x], F_q^d, F_q^k. + field_t Eq, Etwist; // The curves E(F_q) and E'(F_q^d). + // Let v be the quadratic nonresidue used to construct F_q^k from F_q^d, + // namely Fqk = Fqd[sqrt(v)]. + element_t nqrinv, nqrinv2; // The constants v^-1 and v^-2. + mpz_t tateexp; // The Tate exponent, + // to standardize coset representatives. + int k; // The embedding degree, usually 6. + // Let x be the element used to build Fqd from Fq, i.e. Fqd = Fq[x]. + element_t xpowq, xpowq2; // x^q and x^{2q} in F_q^d. +} *pptr; + +static void d_clear(void *data) { + d_param_ptr param = data; + int d = param->k / 2; + int i; + mpz_clear(param->q); + mpz_clear(param->n); + mpz_clear(param->h); + mpz_clear(param->r); + mpz_clear(param->a); + mpz_clear(param->b); + mpz_clear(param->nk); + mpz_clear(param->hk); + mpz_clear(param->nqr); + for (i=0; i<d; i++) { + mpz_clear(param->coeff[i]); + } + pbc_free(param->coeff); + pbc_free(data); +} + +static void d_out_str(FILE *stream, void *data) { + d_param_ptr p = data; + int d = p->k / 2; + int i; + char s[8]; + param_out_type(stream, "d"); + param_out_mpz(stream, "q", p->q); + param_out_mpz(stream, "n", p->n); + param_out_mpz(stream, "h", p->h); + param_out_mpz(stream, "r", p->r); + param_out_mpz(stream, "a", p->a); + param_out_mpz(stream, "b", p->b); + param_out_int(stream, "k", p->k); + param_out_mpz(stream, "nk", p->nk); + param_out_mpz(stream, "hk", p->hk); + for (i=0; i<d; i++) { + sprintf(s, "coeff%d", i); + param_out_mpz(stream, s, p->coeff[i]); + } + param_out_mpz(stream, "nqr", p->nqr); +} + +// Define l = aX + bY + c where a, b, c are in Fq. +// Compute e0 = l(Q) specialized for the case when Q has the form +// (Qx, Qy * sqrt(v)) where Qx, Qy are in Fqd and v is the quadratic nonresidue +// used to construct the quadratic field extension Fqk of Fqd. +static inline void d_miller_evalfn(element_t e0, + element_t a, element_t b, element_t c, element_t Qx, element_t Qy) { + element_ptr re_out = element_x(e0); + element_ptr im_out = element_y(e0); + + int i; + int d = polymod_field_degree(re_out->field); + for (i = 0; i < d; i++) { + element_mul(element_item(re_out, i), element_item(Qx, i), a); + element_mul(element_item(im_out, i), element_item(Qy, i), b); + } + element_add(element_item(re_out, 0), element_item(re_out, 0), c); +} + +// Miller's algorithm, assuming we can ignore the denominator. We can do this +// with careful group selection when the embedding degree is even. See thesis. +// This version uses projective coordinates, which don't seem much faster. +static void cc_miller_no_denom_proj(element_t res, mpz_t q, element_t P, + element_ptr Qx, element_ptr Qy) { + int m; + element_t v; + element_t Z; + element_t a, b, c; + element_t t0, t1; + element_ptr t2 = a, t3 = b, t4 = c; + element_t e0; + element_t z, z2; + element_ptr Zx, Zy; + const element_ptr curve_a = curve_a_coeff(P); + const element_ptr Px = curve_x_coord(P); + const element_ptr Py = curve_y_coord(P); + + #define proj_double() { \ + /* t0 = 3x^2 + (curve_a) z^4 */ \ + element_square(t0, Zx); \ + /* element_mul_si(t0, t0, 3); */ \ + element_double(t1, t0); \ + element_add(t0, t0, t1); \ + element_square(t1, z2); \ + element_mul(t1, t1, curve_a); \ + element_add(t0, t0, t1); \ + \ + /* z_out = 2 y z */ \ + element_mul(z, Zy, z); \ + /* element_mul_si(z, z, 2); */ \ + element_double(z, z); \ + element_square(z2, z); \ + \ + /* t1 = 4 x y^2 */ \ + element_square(t2, Zy); \ + element_mul(t1, Zx, t2); \ + /* element_mul_si(t1, t1, 4); */ \ + element_double(t1, t1); \ + element_double(t1, t1); \ + \ + /* x_out = t0^2 - 2 t1 */ \ + /* element_mul_si(t3, t1, 2); */ \ + element_double(t3, t1); \ + element_square(Zx, t0); \ + element_sub(Zx, Zx, t3); \ + \ + /* t2 = 8y^4 */ \ + element_square(t2, t2); \ + /* element_mul_si(t2, t2, 8); */ \ + element_double(t2, t2); \ + element_double(t2, t2); \ + element_double(t2, t2); \ + \ + /* y_out = t0(t1 - x_out) - t2 */ \ + element_sub(t1, t1, Zx); \ + element_mul(t0, t0, t1); \ + element_sub(Zy, t0, t2); \ + } + + #define proj_mixin() { \ + /* t2 = Px z^2 */ \ + element_mul(t2, z2, Px); \ + \ + /* t3 = Zx - t2 */ \ + element_sub(t3, Zx, t2); \ + \ + /* t0 = Py z^3 */ \ + element_mul(t0, z2, Py); \ + element_mul(t0, t0, z); \ + \ + /* t1 = Zy - t0 */ \ + element_sub(t1, Zy, t0); \ + \ + /* e7 = Zx + t2, use t2 to double for e7 */ \ + element_add(t2, Zx, t2); \ + \ + /* e8 = Zy + t0, use t0 to double for e8 */ \ + element_add(t0, Zy, t0); \ + \ + /* z = z t3 */ \ + element_mul(z, z, t3); \ + element_square(z2, z); \ + \ + /* Zx = t1^2 - e7 t3^2 */ \ + /* t3 now holds t3^3, */ \ + /* t4 holds e7 t3^2. */ \ + element_square(t4, t3); \ + element_mul(t3, t4, t3); \ + element_square(Zx, t1); \ + element_mul(t4, t2, t4); \ + element_sub(Zx, Zx, t4); \ + \ + /* t4 = e7 t3^2 - 2 Zx */ \ + element_sub(t4, t4, Zx); \ + element_sub(t4, t4, Zx); \ + \ + /* Zy = (t4 t1 - e8 t3^3)/2 */ \ + element_mul(t4, t4, t1); \ + element_mul(t0, t0, t3); \ + element_sub(t4, t4, t0); \ + element_halve(Zy, t4); \ + } + + #define do_tangent() { \ + /* a = -(3x^2 + cca z^4) */ \ + /* b = 2 y z^3 */ \ + /* c = -(2 y^2 + x a) */ \ + /* a = z^2 a */ \ + element_square(a, z2); \ + element_mul(a, a, curve_a); \ + element_square(b, Zx); \ + /* element_mul_si(b, b, 3); */ \ + element_double(t0, b); \ + element_add(b, b, t0); \ + element_add(a, a, b); \ + element_neg(a, a); \ + \ + element_mul(b, z, z2); \ + element_mul(b, b, Zy); \ + element_mul_si(b, b, 2); \ + \ + element_mul(c, Zx, a); \ + element_mul(a, a, z2); \ + element_square(t0, Zy); \ + element_mul_si(t0, t0, 2); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + d_miller_evalfn(e0, a, b, c, Qx, Qy); \ + element_mul(v, v, e0); \ + } + + #define do_line() { \ + /* a = -(Py z^3 - Zy) */ \ + /* b = Px z^3 - Zx z */ \ + /* c = Zx z Py - Zy Px; */ \ + \ + element_mul(t0, Zx, z); \ + element_mul(t1, z2, z); \ + \ + element_mul(a, Py, t1); \ + element_sub(a, Zy, a); \ + \ + element_mul(b, Px, t1); \ + element_sub(b, b, t0); \ + \ + element_mul(t0, t0, Py); \ + element_mul(c, Zy, Px); \ + element_sub(c, t0, c); \ + \ + d_miller_evalfn(e0, a, b, c, Qx, Qy); \ + element_mul(v, v, e0); \ + } + + element_init(a, Px->field); + element_init(b, a->field); + element_init(c, a->field); + element_init(t0, a->field); + element_init(t1, a->field); + element_init(e0, res->field); + element_init(z, a->field); + element_init(z2, a->field); + element_set1(z); + element_set1(z2); + + element_init(v, res->field); + element_init(Z, P->field); + + element_set(Z, P); + Zx = curve_x_coord(Z); + Zy = curve_x_coord(Z); + + element_set1(v); + m = mpz_sizeinbase(q, 2) - 2; + + for(;;) { + do_tangent(); + if (!m) break; + proj_double(); + if (mpz_tstbit(q, m)) { + do_line(); + proj_mixin(); + } + m--; + element_square(v, v); + } + + element_set(res, v); + + element_clear(v); + element_clear(Z); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(t0); + element_clear(t1); + element_clear(e0); + element_clear(z); + element_clear(z2); + #undef proj_double + #undef proj_mixin + #undef do_tangent + #undef do_line +} + +// Same as above, but with affine coordinates. +static void cc_miller_no_denom_affine(element_t res, mpz_t q, element_t P, + element_ptr Qx, element_ptr Qy) { + int m; + element_t v; + element_t Z; + element_t a, b, c; + element_t t0; + element_t e0; + const element_ptr cca = curve_a_coeff(P); + const element_ptr Px = curve_x_coord(P); + const element_ptr Py = curve_y_coord(P); + element_ptr Zx, Zy; + + /* TODO: when exactly is this not needed? + void do_vertical() { + mapbase(e0, Z->x); + element_sub(e0, Qx, e0); + element_mul(v, v, e0); + } + */ + + #define do_tangent() { \ + /* a = -(3 Zx^2 + cc->a) */ \ + /* b = 2 * Zy */ \ + /* c = -(2 Zy^2 + a Zx); */ \ + \ + element_square(a, Zx); \ + element_mul_si(a, a, 3); \ + element_add(a, a, cca); \ + element_neg(a, a); \ + \ + element_add(b, Zy, Zy); \ + \ + element_mul(t0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + d_miller_evalfn(e0, a, b, c, Qx, Qy); \ + element_mul(v, v, e0); \ + } + + #define do_line() { \ + /* a = -(B.y - A.y) / (B.x - A.x); */ \ + /* b = 1; */ \ + /* c = -(A.y + a * A.x); */ \ + /* but we multiply by B.x - A.x to avoid division. */ \ + \ + element_sub(b, Px, Zx); \ + element_sub(a, Zy, Py); \ + element_mul(t0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + d_miller_evalfn(e0, a, b, c, Qx, Qy); \ + element_mul(v, v, e0); \ + } + + element_init(a, Px->field); + element_init(b, a->field); + element_init(c, a->field); + element_init(t0, a->field); + element_init(e0, res->field); + + element_init(v, res->field); + element_init(Z, P->field); + + element_set(Z, P); + Zx = curve_x_coord(Z); + Zy = curve_y_coord(Z); + + element_set1(v); + m = mpz_sizeinbase(q, 2) - 2; + + for(;;) { + do_tangent(); + + if (!m) break; + + element_double(Z, Z); + if (mpz_tstbit(q, m)) { + do_line(); + element_add(Z, Z, P); + } + m--; + element_square(v, v); + } + + element_set(res, v); + + element_clear(v); + element_clear(Z); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(t0); + element_clear(e0); + #undef do_tangent + #undef do_line +} + +static void (*cc_miller_no_denom_fn)(element_t res, mpz_t q, element_t P, + element_ptr Qx, element_ptr Qy); + +static void d_pairing_option_set(pairing_t pairing, char *key, char *value) { + UNUSED_VAR(pairing); + if (!strcmp(key, "method")) { + if (!strcmp(value, "miller")) { + cc_miller_no_denom_fn = cc_miller_no_denom_proj; + } else if (!strcmp(value, "miller-affine")) { + cc_miller_no_denom_fn = cc_miller_no_denom_affine; + } + } +} + +// Requires cofactor is even. TODO: This seems to contradict a comment below. +// Requires in != out. +// Mangles in. +static void lucas_even(element_ptr out, element_ptr in, mpz_t cofactor) { + if (element_is1(in)) { + element_set(out, in); + return; + } + element_t temp; + element_init_same_as(temp, out); + element_ptr in0 = element_x(in); + element_ptr in1 = element_y(in); + element_ptr v0 = element_x(out); + element_ptr v1 = element_y(out); + element_ptr t0 = element_x(temp); + element_ptr t1 = element_y(temp); + int j; + + element_set_si(t0, 2); + element_double(t1, in0); + + element_set(v0, t0); + element_set(v1, t1); + + j = mpz_sizeinbase(cofactor, 2) - 1; + for (;;) { + if (!j) { + element_mul(v1, v0, v1); + element_sub(v1, v1, t1); + element_square(v0, v0); + element_sub(v0, v0, t0); + break; + } + if (mpz_tstbit(cofactor, j)) { + element_mul(v0, v0, v1); + element_sub(v0, v0, t1); + element_square(v1, v1); + element_sub(v1, v1, t0); + } else { + element_mul(v1, v0, v1); + element_sub(v1, v1, t1); + element_square(v0, v0); + element_sub(v0, v0, t0); + } + j--; + } + + // Assume cofactor = (q^2 - q + 1) / r is odd + // thus v1 = V_k, v0 = V_{k-1} + // U = (P v1 - 2 v0) / (P^2 - 4) + + element_double(v0, v0); + element_mul(in0, t1, v1); + element_sub(in0, in0, v0); + + element_square(t1, t1); + element_sub(t1, t1, t0); + element_sub(t1, t1, t0); + + element_halve(v0, v1); + element_div(v1, in0, t1); + element_mul(v1, v1, in1); + + element_clear(temp); +} + +// The final powering, where we standardize the coset representative. +static void cc_tatepower(element_ptr out, element_ptr in, pairing_t pairing) { + pptr p = pairing->data; + #define qpower(sign) { \ + polymod_const_mul(e2, inre[1], p->xpowq); \ + element_set(e0re, e2); \ + polymod_const_mul(e2, inre[2], p->xpowq2); \ + element_add(e0re, e0re, e2); \ + element_add(e0re0, e0re0, inre[0]); \ + \ + if (sign > 0) { \ + polymod_const_mul(e2, inim[1], p->xpowq); \ + element_set(e0im, e2); \ + polymod_const_mul(e2, inim[2], p->xpowq2); \ + element_add(e0im, e0im, e2); \ + element_add(e0im0, e0im0, inim[0]); \ + } else { \ + polymod_const_mul(e2, inim[1], p->xpowq); \ + element_neg(e0im, e2); \ + polymod_const_mul(e2, inim[2], p->xpowq2); \ + element_sub(e0im, e0im, e2); \ + element_sub(e0im0, e0im0, inim[0]); \ + } \ + } + if (p->k == 6) { + // See thesis, section 6.9, "The Final Powering", which gives a formula + // for the first step of the final powering when Fq6 has been implemented + // as a quadratic extension on top of a cubic extension. + element_t e0, e2, e3; + element_init(e0, p->Fqk); + element_init(e2, p->Fqd); + element_init(e3, p->Fqk); + element_ptr e0re = element_x(e0); + element_ptr e0im = element_y(e0); + element_ptr e0re0 = ((element_t *) e0re->data)[0]; + element_ptr e0im0 = ((element_t *) e0im->data)[0]; + element_t *inre = element_x(in)->data; + element_t *inim = element_y(in)->data; + // Expressions in the formula are similar, hence the following function. + qpower(1); + element_set(e3, e0); + element_set(e0re, element_x(in)); + element_neg(e0im, element_y(in)); + element_mul(e3, e3, e0); + qpower(-1); + element_mul(e0, e0, in); + element_invert(e0, e0); + element_mul(in, e3, e0); + + element_set(e0, in); + // We use Lucas sequences to complete the final powering. + lucas_even(out, e0, pairing->phikonr); + + element_clear(e0); + element_clear(e2); + element_clear(e3); + } else { + element_pow_mpz(out, in, p->tateexp); + } + #undef qpower +} + +static void cc_finalpow(element_t e) { + cc_tatepower(e->data, e->data, e->field->pairing); +} + +static void cc_pairing(element_ptr out, element_ptr in1, element_ptr in2, + pairing_t pairing) { + element_ptr Qbase = in2; + element_t Qx, Qy; + pptr p = pairing->data; + + element_init(Qx, p->Fqd); + element_init(Qy, p->Fqd); + // Twist: (x, y) --> (v^-1 x, v^-(3/2) y) + // where v is the quadratic nonresidue used to construct the twist. + element_mul(Qx, curve_x_coord(Qbase), p->nqrinv); + // v^-3/2 = v^-2 * v^1/2 + element_mul(Qy, curve_y_coord(Qbase), p->nqrinv2); + cc_miller_no_denom_fn(out, pairing->r, in1, Qx, Qy); + cc_tatepower(out, out, pairing); + element_clear(Qx); + element_clear(Qy); +} + + +//do many millers at one time with affine coordinates. +static void cc_millers_no_denom_affine(element_t res, mpz_t q, element_t P[], + element_t Qx[], element_t Qy[], int n_prod) { + int m, i; + element_t v; + element_t a, b, c; + element_t t0; + element_t e0; + const element_ptr cca = curve_a_coeff(P[0]); + element_ptr Px, Py; + element_t* Z = pbc_malloc(sizeof(element_t)*n_prod); + element_ptr Zx, Zy; + + /* TODO: when exactly is this not needed? + void do_vertical() { + mapbase(e0, Z->x); + element_sub(e0, Qx, e0); + element_mul(v, v, e0); + } + */ + + #define do_tangents() { \ + /* a = -(3 Zx^2 + cc->a) */ \ + /* b = 2 * Zy */ \ + /* c = -(2 Zy^2 + a Zx); */ \ + for(i=0; i<n_prod; i++){ \ + Px = curve_x_coord(P[i]); \ + Py = curve_y_coord(P[i]); \ + Zx = curve_x_coord(Z[i]); \ + Zy = curve_y_coord(Z[i]); \ + \ + element_square(a, Zx); \ + element_mul_si(a, a, 3); \ + element_add(a, a, cca); \ + element_neg(a, a); \ + \ + element_add(b, Zy, Zy); \ + \ + element_mul(t0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + d_miller_evalfn(e0, a, b, c, Qx[i], Qy[i]); \ + element_mul(v, v, e0); \ + } \ + } + + #define do_lines() { \ + /* a = -(B.y - A.y) / (B.x - A.x); */ \ + /* b = 1; */ \ + /* c = -(A.y + a * A.x); */ \ + /* but we multiply by B.x - A.x to avoid division. */ \ + for(i=0; i<n_prod; i++){ \ + Px = curve_x_coord(P[i]); \ + Py = curve_y_coord(P[i]); \ + Zx = curve_x_coord(Z[i]); \ + Zy = curve_y_coord(Z[i]); \ + \ + element_sub(b, Px, Zx); \ + element_sub(a, Zy, Py); \ + element_mul(t0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + d_miller_evalfn(e0, a, b, c, Qx[i], Qy[i]); \ + element_mul(v, v, e0); \ + } \ + } + + Px= curve_x_coord(P[0]); //temporally used to initial a,b, c and etc. + element_init(a, Px->field); + element_init(b, a->field); + element_init(c, a->field); + element_init(t0, a->field); + element_init(e0, res->field); + + element_init(v, res->field); + for(i=0; i<n_prod; i++){ + element_init(Z[i], P[i]->field); + element_set(Z[i], P[i]); + } + + element_set1(v); + m = mpz_sizeinbase(q, 2) - 2; + + for(;;) { + do_tangents(); + + if (!m) break; + element_multi_double(Z, Z, n_prod); //Z_i=Z_i+Z_i for all i. + + if (mpz_tstbit(q, m)) { + do_lines(); + element_multi_add(Z, Z, P, n_prod); //Z_i=Z_i+P_i for all i. + } + m--; + element_square(v, v); + } + + element_set(res, v); + + element_clear(v); + for(i=0; i<n_prod; i++){ + element_clear(Z[i]); + } + pbc_free(Z); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(t0); + element_clear(e0); + #undef do_tangents + #undef do_lines +} + + +void cc_pairings_affine(element_ptr out, element_t in1[], element_t in2[], + int n_prod, pairing_t pairing) { + element_ptr Qbase; + element_t* Qx = pbc_malloc(sizeof(element_t)*n_prod); + element_t* Qy = pbc_malloc(sizeof(element_t)*n_prod); + pptr p = pairing->data; + int i; + for(i=0; i<n_prod; i++){ + element_init(Qx[i], p->Fqd); + element_init(Qy[i], p->Fqd); + Qbase = in2[i]; + // Twist: (x, y) --> (v^-1 x, v^-(3/2) y) + // where v is the quadratic nonresidue used to construct the twist. + element_mul(Qx[i], curve_x_coord(Qbase), p->nqrinv); + // v^-3/2 = v^-2 * v^1/2 + element_mul(Qy[i], curve_y_coord(Qbase), p->nqrinv2); + } + cc_millers_no_denom_affine(out, pairing->r, in1, Qx, Qy, n_prod); + cc_tatepower(out, out, pairing); + + for(i=0; i<n_prod; i++){ + element_clear(Qx[i]); + element_clear(Qy[i]); + } + pbc_free(Qx); + pbc_free(Qy); +} + + +static int cc_is_almost_coddh(element_ptr a, element_ptr b, + element_ptr c, element_ptr d, + pairing_t pairing) { + int res = 0; + element_t t0, t1, t2; + element_t cx, cy; + element_t dx, dy; + pptr p = pairing->data; + + element_init(cx, p->Fqd); + element_init(cy, p->Fqd); + element_init(dx, p->Fqd); + element_init(dy, p->Fqd); + + element_init(t0, p->Fqk); + element_init(t1, p->Fqk); + element_init(t2, p->Fqk); + // Twist: (x, y) --> (v^-1 x, v^-(3/2) y) + // where v is the quadratic nonresidue used to construct the twist. + element_mul(cx, curve_x_coord(c), p->nqrinv); + element_mul(dx, curve_x_coord(d), p->nqrinv); + // v^-3/2 = v^-2 * v^1/2 + element_mul(cy, curve_y_coord(c), p->nqrinv2); + element_mul(dy, curve_y_coord(d), p->nqrinv2); + + cc_miller_no_denom_fn(t0, pairing->r, a, dx, dy); + cc_miller_no_denom_fn(t1, pairing->r, b, cx, cy); + cc_tatepower(t0, t0, pairing); + cc_tatepower(t1, t1, pairing); + element_mul(t2, t0, t1); + if (element_is1(t2)) res = 1; // We were given g, g^x, h, h^-x. + else { + // Cheaply check the other case. + element_invert(t1, t1); + element_mul(t2, t0, t1); + if (element_is1(t2)) res = 1; // We were given g, g^x, h, h^x. + } + element_clear(cx); + element_clear(cy); + element_clear(dx); + element_clear(dy); + element_clear(t0); + element_clear(t1); + element_clear(t2); + return res; +} + +struct pp_coeff_s { + element_t a; + element_t b; + element_t c; +}; +typedef struct pp_coeff_s pp_coeff_t[1]; +typedef struct pp_coeff_s *pp_coeff_ptr; + +static void d_pairing_pp_init(pairing_pp_t p, element_ptr in1, pairing_t pairing) { + element_ptr P = in1; + const element_ptr Px = curve_x_coord(P); + const element_ptr Py = curve_y_coord(P); + element_t Z; + int m; + pptr info = pairing->data; + element_t t0; + element_t a, b, c; + field_ptr Fq = info->Fq; + pp_coeff_t *coeff; + mpz_ptr q = pairing->r; + pp_coeff_ptr pp; + const element_ptr cca = curve_a_coeff(P); + element_ptr Zx; + element_ptr Zy; + + #define store_abc() { \ + element_init(pp->a, Fq); \ + element_init(pp->b, Fq); \ + element_init(pp->c, Fq); \ + element_set(pp->a, a); \ + element_set(pp->b, b); \ + element_set(pp->c, c); \ + pp++; \ + } + + #define do_tangent() { \ + /* a = -slope_tangent(Z.x, Z.y); */ \ + /* b = 1; */ \ + /* c = -(Z.y + a * Z.x); */ \ + /* but we multiply by 2*Z.y to avoid division. */ \ + \ + /* a = -Zx * (3 Zx + twicea_2) - a_4; */ \ + /* Common curves: a2 = 0 (and cc->a is a_4), so */ \ + /* a = -(3 Zx^2 + cc->a) */ \ + /* b = 2 * Zy */ \ + /* c = -(2 Zy^2 + a Zx); */ \ + \ + element_square(a, Zx); \ + element_double(t0, a); \ + element_add(a, a, t0); \ + element_add(a, a, cca); \ + element_neg(a, a); \ + \ + element_add(b, Zy, Zy); \ + \ + element_mul(t0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + store_abc(); \ + } + + #define do_line() { \ + /* a = -(B.y - A.y) / (B.x - A.x); */ \ + /* b = 1; */ \ + /* c = -(A.y + a * A.x); */ \ + /* but we'll multiply by B.x - A.x to avoid division */ \ + \ + element_sub(b, Px, Zx); \ + element_sub(a, Zy, Py); \ + element_mul(t0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + store_abc(); \ + } + + element_init(Z, P->field); + element_set(Z, P); + Zx = curve_x_coord(Z); + Zy = curve_y_coord(Z); + + element_init(t0, Fq); + element_init(a, Fq); + element_init(b, Fq); + element_init(c, Fq); + + m = mpz_sizeinbase(q, 2) - 2; + p->data = pbc_malloc(sizeof(pp_coeff_t) * 2 * m); + coeff = (pp_coeff_t *) p->data; + pp = coeff[0]; + + for(;;) { + do_tangent(); + + if (!m) break; + + element_double(Z, Z); + if (mpz_tstbit(q, m)) { + do_line(); + element_add(Z, Z, P); + } + m--; + } + + element_clear(t0); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(Z); + #undef store_abc + #undef do_tangent + #undef do_line +} + +static void d_pairing_pp_clear(pairing_pp_t p) { + // TODO: Better to store a sentinel value in p->data? + mpz_ptr q = p->pairing->r; + int m = mpz_sizeinbase(q, 2) + mpz_popcount(q) - 3; + int i; + pp_coeff_t *coeff = (pp_coeff_t *) p->data; + pp_coeff_ptr pp; + for (i=0; i<m; i++) { + pp = coeff[i]; + element_clear(pp->a); + element_clear(pp->b); + element_clear(pp->c); + } + pbc_free(p->data); +} + +static void d_pairing_pp_apply(element_ptr out, element_ptr in2, + pairing_pp_t p) { + mpz_ptr q = p->pairing->r; + pptr info = p->pairing->data; + int m = mpz_sizeinbase(q, 2) - 2; + pp_coeff_t *coeff = (pp_coeff_t *) p->data; + pp_coeff_ptr pp = coeff[0]; + element_ptr Qbase = in2; + element_t e0; + element_t Qx, Qy; + element_t v; + element_init_same_as(e0, out); + element_init_same_as(v, out); + element_init(Qx, info->Fqd); + element_init(Qy, info->Fqd); + + // Twist: (x, y) --> (v^-1 x, v^-(3/2) y) + // where v is the quadratic nonresidue used to construct the twist + element_mul(Qx, curve_x_coord(Qbase), info->nqrinv); + // v^-3/2 = v^-2 * v^1/2 + element_mul(Qy, curve_y_coord(Qbase), info->nqrinv2); + + element_set1(out); + for(;;) { + d_miller_evalfn(e0, pp->a, pp->b, pp->c, Qx, Qy); + element_mul(out, out, e0); + pp++; + + if (!m) break; + + if (mpz_tstbit(q, m)) { + d_miller_evalfn(e0, pp->a, pp->b, pp->c, Qx, Qy); + element_mul(out, out, e0); + pp++; + } + m--; + element_square(out, out); + } + cc_tatepower(out, out, p->pairing); + + element_clear(e0); + element_clear(Qx); + element_clear(Qy); + element_clear(v); +} + +static void d_pairing_clear(pairing_t pairing) { + field_clear(pairing->GT); + pptr p = pairing->data; + + if (p->k == 6) { + element_clear(p->xpowq); + element_clear(p->xpowq2); + mpz_clear(pairing->phikonr); + } else { + mpz_clear(p->tateexp); + } + + field_clear(p->Etwist); + field_clear(p->Eq); + element_clear(p->nqrinv); + element_clear(p->nqrinv2); + field_clear(p->Fqk); + field_clear(p->Fqd); + field_clear(p->Fqx); + field_clear(p->Fq); + field_clear(pairing->Zr); + mpz_clear(pairing->r); + pbc_free(p); +} + +static void d_init_pairing(pairing_ptr pairing, void *data) { + d_param_ptr param = data; + pptr p; + element_t a, b; + element_t irred; + int d = param->k / 2; + int i; + + if (param->k % 2) pbc_die("k must be even"); + + mpz_init(pairing->r); + mpz_set(pairing->r, param->r); + field_init_fp(pairing->Zr, pairing->r); + pairing->map = cc_pairing; + pairing->prod_pairings = cc_pairings_affine; + pairing->is_almost_coddh = cc_is_almost_coddh; + + p = pairing->data = pbc_malloc(sizeof(*p)); + field_init_fp(p->Fq, param->q); + element_init(a, p->Fq); + element_init(b, p->Fq); + element_set_mpz(a, param->a); + element_set_mpz(b, param->b); + field_init_curve_ab(p->Eq, a, b, pairing->r, param->h); + + field_init_poly(p->Fqx, p->Fq); + element_init(irred, p->Fqx); + poly_set_coeff1(irred, d); + for (i = 0; i < d; i++) { + element_set_mpz(element_item(irred, i), param->coeff[i]); + } + + field_init_polymod(p->Fqd, irred); + element_clear(irred); + + p->Fqd->nqr = pbc_malloc(sizeof(element_t)); + element_init(p->Fqd->nqr, p->Fqd); + element_set_mpz(((element_t *) p->Fqd->nqr->data)[0], param->nqr); + + field_init_quadratic(p->Fqk, p->Fqd); + + // Compute constants involved in the final powering. + if (param->k == 6) { + mpz_ptr q = param->q; + mpz_ptr z = pairing->phikonr; + mpz_init(z); + mpz_mul(z, q, q); + mpz_sub(z, z, q); + mpz_add_ui(z, z, 1); + mpz_divexact(z, z, pairing->r); + + element_ptr e = p->xpowq; + element_init(e, p->Fqd); + element_set1(((element_t *) e->data)[1]); + element_pow_mpz(e, e, q); + + element_init(p->xpowq2, p->Fqd); + element_square(p->xpowq2, e); + } else { + mpz_init(p->tateexp); + mpz_sub_ui(p->tateexp, p->Fqk->order, 1); + mpz_divexact(p->tateexp, p->tateexp, pairing->r); + } + + field_init_curve_ab_map(p->Etwist, p->Eq, element_field_to_polymod, p->Fqd, pairing->r, NULL); + field_reinit_curve_twist(p->Etwist); + + mpz_t ndonr; + mpz_init(ndonr); + // ndonr temporarily holds the trace. + mpz_sub(ndonr, param->q, param->n); + mpz_add_ui(ndonr, ndonr, 1); + // Negate it because we want the trace of the twist. + mpz_neg(ndonr, ndonr); + pbc_mpz_curve_order_extn(ndonr, param->q, ndonr, d); + mpz_divexact(ndonr, ndonr, param->r); + field_curve_set_quotient_cmp(p->Etwist, ndonr); + mpz_clear(ndonr); + + element_init(p->nqrinv, p->Fqd); + element_invert(p->nqrinv, field_get_nqr(p->Fqd)); + element_init(p->nqrinv2, p->Fqd); + element_square(p->nqrinv2, p->nqrinv); + + pairing->G1 = p->Eq; + pairing->G2 = p->Etwist; + + p->k = param->k; + pairing_GT_init(pairing, p->Fqk); + pairing->finalpow = cc_finalpow; + + // By default use affine coordinates. + cc_miller_no_denom_fn = cc_miller_no_denom_affine; + pairing->option_set = d_pairing_option_set; + pairing->pp_init = d_pairing_pp_init; + pairing->pp_clear = d_pairing_pp_clear; + pairing->pp_apply = d_pairing_pp_apply; + + pairing->clear_func = d_pairing_clear; + + element_clear(a); + element_clear(b); +} + +// Computes a curve and sets fp to the field it is defined over using the +// complex multiplication method, where cm holds the appropriate information +// (e.g. discriminant, field order). +static void compute_cm_curve(d_param_ptr param, pbc_cm_ptr cm) { + element_t hp, root; + field_t fp, fpx; + field_t cc; + + field_init_fp(fp, cm->q); + field_init_poly(fpx, fp); + element_init(hp, fpx); + + mpz_t *coefflist; + int n = pbc_hilbert(&coefflist, cm->D); + + // Temporarily set the coefficient of x^{n-1} to 1 so hp has degree n - 1, + // allowing us to use poly_coeff(). + poly_set_coeff1(hp, n - 1); + int i; + for (i = 0; i < n; i++) { + element_set_mpz(element_item(hp, i), coefflist[i]); + } + pbc_hilbert_free(coefflist, n); + + // TODO: Remove x = 0, 1728 roots. + // TODO: What if there are no roots? + //printf("hp "); + //element_out_str(stdout, 0, hp); + //printf("\n"); + + element_init(root, fp); + poly_findroot(root, hp); + //printf("root = "); + //element_out_str(stdout, 0, root); + //printf("\n"); + element_clear(hp); + field_clear(fpx); + + // The root is the j-invariant of the desired curve. + field_init_curve_j(cc, root, cm->n, NULL); + element_clear(root); + + // We may need to twist it. + { + // Pick a random point P and twist the curve if it has the wrong order. + element_t P; + element_init(P, cc); + element_random(P); + element_mul_mpz(P, P, cm->n); + if (!element_is0(P)) field_reinit_curve_twist(cc); + element_clear(P); + } + + mpz_set(param->q, cm->q); + mpz_set(param->n, cm->n); + mpz_set(param->h, cm->h); + mpz_set(param->r, cm->r); + element_to_mpz(param->a, curve_field_a_coeff(cc)); + element_to_mpz(param->b, curve_field_b_coeff(cc)); + param->k = cm->k; + { + mpz_t z; + mpz_init(z); + // Compute order of curve in F_q^k. + // n = q - t + 1 hence t = q - n + 1 + mpz_sub(z, param->q, param->n); + mpz_add_ui(z, z, 1); + pbc_mpz_trace_n(z, param->q, z, param->k); + mpz_pow_ui(param->nk, param->q, param->k); + mpz_sub_ui(z, z, 1); + mpz_sub(param->nk, param->nk, z); + mpz_mul(z, param->r, param->r); + mpz_divexact(param->hk, param->nk, z); + mpz_clear(z); + } + field_clear(cc); + field_clear(fp); +} + +static void d_param_init(pbc_param_ptr p) { + static pbc_param_interface_t interface = {{ + d_clear, + d_init_pairing, + d_out_str, + }}; + p->api = interface; + d_param_ptr param = p->data = pbc_malloc(sizeof(*param)); + mpz_init(param->q); + mpz_init(param->n); + mpz_init(param->h); + mpz_init(param->r); + mpz_init(param->a); + mpz_init(param->b); + mpz_init(param->nk); + mpz_init(param->hk); + param->k = 0; + param->coeff = NULL; + mpz_init(param->nqr); +} + +// Public interface: + +int pbc_param_init_d(pbc_param_ptr par, struct symtab_s *tab) { + d_param_init(par); + d_param_ptr p = par->data; + char s[80]; + int i, d; + + int err = 0; + err += lookup_mpz(p->q, tab, "q"); + err += lookup_mpz(p->n, tab, "n"); + err += lookup_mpz(p->h, tab, "h"); + err += lookup_mpz(p->r, tab, "r"); + err += lookup_mpz(p->a, tab, "a"); + err += lookup_mpz(p->b, tab, "b"); + err += lookup_int(&p->k, tab, "k"); + err += lookup_mpz(p->nk, tab, "nk"); + err += lookup_mpz(p->hk, tab, "hk"); + err += lookup_mpz(p->nqr, tab, "nqr"); + + d = p->k / 2; + p->coeff = pbc_realloc(p->coeff, sizeof(mpz_t) * d); + for (i=0; i<d; i++) { + sprintf(s, "coeff%d", i); + mpz_init(p->coeff[i]); + err += lookup_mpz(p->coeff[i], tab, s); + } + return err; +} + +void pbc_param_init_d_gen(pbc_param_ptr p, pbc_cm_ptr cm) { + d_param_init(p); + d_param_ptr param = p->data; + field_t Fq, Fqx, Fqd; + element_t irred, nqr; + int d = cm->k / 2; + int i; + + compute_cm_curve(param, cm); + + field_init_fp(Fq, param->q); + field_init_poly(Fqx, Fq); + element_init(irred, Fqx); + do { + poly_random_monic(irred, d); + } while (!poly_is_irred(irred)); + field_init_polymod(Fqd, irred); + + // Find a quadratic nonresidue of Fqd lying in Fq. + element_init(nqr, Fqd); + do { + element_random(((element_t *) nqr->data)[0]); + } while (element_is_sqr(nqr)); + + param->coeff = pbc_realloc(param->coeff, sizeof(mpz_t) * d); + + for (i=0; i<d; i++) { + mpz_init(param->coeff[i]); + element_to_mpz(param->coeff[i], element_item(irred, i)); + } + element_to_mpz(param->nqr, ((element_t *) nqr->data)[0]); + + element_clear(nqr); + element_clear(irred); + + field_clear(Fqx); + field_clear(Fqd); + field_clear(Fq); +} diff --git a/moon-abe/pbc-0.5.14/ecc/e_param.c b/moon-abe/pbc-0.5.14/ecc/e_param.c new file mode 100644 index 00000000..53f7217c --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/e_param.c @@ -0,0 +1,1006 @@ +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> //for rand, pbc_malloc, pbc_free +#include <string.h> //for strcmp +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_fp.h" +#include "pbc_param.h" +#include "pbc_pairing.h" +#include "pbc_curve.h" +#include "pbc_random.h" +#include "pbc_memory.h" +#include "pbc_e_param.h" +#include "ecc/param.h" + +struct e_param_s { + mpz_t q; // Curve is defined over F_q. + mpz_t r; // q = h r^2 + 1, r is prime. + mpz_t h; // h is 28 times some square. + mpz_t a, b; // Curve equation is Y^2 = X^3 + aX + b. + int exp2; + int exp1; + int sign1; + int sign0; +}; +typedef struct e_param_s e_param_t[1]; +typedef struct e_param_s *e_param_ptr; + +struct e_pairing_data_s { + field_t Fq, Eq; + int exp2, exp1; + int sign1, sign0; + element_t R; +}; +typedef struct e_pairing_data_s e_pairing_data_t[1]; +typedef struct e_pairing_data_s *e_pairing_data_ptr; + +static void e_clear(void *data) { + e_param_ptr ep = data; + mpz_clear(ep->q); + mpz_clear(ep->r); + mpz_clear(ep->h); + mpz_clear(ep->a); + mpz_clear(ep->b); + pbc_free(data); +} + +static void e_out_str(FILE *stream, void *data) { + e_param_ptr p = data; + param_out_type(stream, "e"); + param_out_mpz(stream, "q", p->q); + param_out_mpz(stream, "r", p->r); + param_out_mpz(stream, "h", p->h); + param_out_mpz(stream, "a", p->a); + param_out_mpz(stream, "b", p->b); + param_out_int(stream, "exp2", p->exp2); + param_out_int(stream, "exp1", p->exp1); + param_out_int(stream, "sign1", p->sign1); + param_out_int(stream, "sign0", p->sign0); +} + +static void e_miller_proj(element_t res, element_t P, + element_ptr QR, element_ptr R, + e_pairing_data_ptr p) { + //collate divisions + int n; + element_t v, vd; + element_t v1, vd1; + element_t Z, Z1; + element_t a, b, c; + const element_ptr cca = curve_a_coeff(P); + element_t e0, e1; + const element_ptr e2 = a, e3 = b; + element_t z, z2; + int i; + element_ptr Zx, Zy; + const element_ptr Px = curve_x_coord(P); + const element_ptr numx = curve_x_coord(QR); + const element_ptr numy = curve_y_coord(QR); + const element_ptr denomx = curve_x_coord(R); + const element_ptr denomy = curve_y_coord(R); + + //convert Z from weighted projective (Jacobian) to affine + //i.e. (X, Y, Z) --> (X/Z^2, Y/Z^3) + //also sets z to 1 + #define to_affine() { \ + element_invert(z, z); \ + element_square(e0, z); \ + element_mul(Zx, Zx, e0); \ + element_mul(e0, e0, z); \ + element_mul(Zy, Zy, e0); \ + element_set1(z); \ + element_set1(z2); \ + } + + #define proj_double() { \ + const element_ptr x = Zx; \ + const element_ptr y = Zy; \ + /* e0 = 3x^2 + (cc->a) z^4 */ \ + element_square(e0, x); \ + /* element_mul_si(e0, e0, 3); */ \ + element_double(e1, e0); \ + element_add(e0, e0, e1); \ + element_square(e1, z2); \ + element_mul(e1, e1, cca); \ + element_add(e0, e0, e1); \ + \ + /* z_out = 2 y z */ \ + element_mul(z, y, z); \ + /* element_mul_si(z, z, 2); */ \ + element_double(z, z); \ + element_square(z2, z); \ + \ + /* e1 = 4 x y^2 */ \ + element_square(e2, y); \ + element_mul(e1, x, e2); \ + /* element_mul_si(e1, e1, 4); */ \ + element_double(e1, e1); \ + element_double(e1, e1); \ + \ + /* x_out = e0^2 - 2 e1 */ \ + /* element_mul_si(e3, e1, 2); */ \ + element_double(e3, e1); \ + element_square(x, e0); \ + element_sub(x, x, e3); \ + \ + /* e2 = 8y^4 */ \ + element_square(e2, e2); \ + /* element_mul_si(e2, e2, 8); */ \ + element_double(e2, e2); \ + element_double(e2, e2); \ + element_double(e2, e2); \ + \ + /* y_out = e0(e1 - x_out) - e2 */ \ + element_sub(e1, e1, x); \ + element_mul(e0, e0, e1); \ + element_sub(y, e0, e2); \ + } + + #define do_tangent(e, edenom) { \ + /* a = -(3x^2 + cca z^4) */ \ + /* b = 2 y z^3 */ \ + /* c = -(2 y^2 + x a) */ \ + /* a = z^2 a */ \ + element_square(a, z2); \ + element_mul(a, a, cca); \ + element_square(b, Zx); \ + /* element_mul_si(b, b, 3); */ \ + element_double(e0, b); \ + element_add(b, b, e0); \ + element_add(a, a, b); \ + element_neg(a, a); \ + \ + /* element_mul_si(e0, Zy, 2); */ \ + element_double(e0, Zy); \ + element_mul(b, e0, z2); \ + element_mul(b, b, z); \ + \ + element_mul(c, Zx, a); \ + element_mul(a, a, z2); \ + element_mul(e0, e0, Zy); \ + element_add(c, c, e0); \ + element_neg(c, c); \ + \ + element_mul(e0, a, numx); \ + element_mul(e1, b, numy); \ + element_add(e0, e0, e1); \ + element_add(e0, e0, c); \ + element_mul(e, e, e0); \ + \ + element_mul(e0, a, denomx); \ + element_mul(e1, b, denomy); \ + element_add(e0, e0, e1); \ + element_add(e0, e0, c); \ + element_mul(edenom, edenom, e0); \ + } + + #define do_vertical(e, edenom, Ax) { \ + element_mul(e0, numx, z2); \ + element_sub(e0, e0, Ax); \ + element_mul(e, e, e0); \ + \ + element_mul(e0, denomx, z2); \ + element_sub(e0, e0, Ax); \ + element_mul(edenom, edenom, e0); \ + } + + #define do_line(e, edenom, A, B) { \ + element_ptr Ax = curve_x_coord(A); \ + element_ptr Ay = curve_y_coord(A); \ + element_ptr Bx = curve_x_coord(B); \ + element_ptr By = curve_y_coord(B); \ + \ + element_sub(b, Bx, Ax); \ + element_sub(a, Ay, By); \ + element_mul(c, Ax, By); \ + element_mul(e0, Ay, Bx); \ + element_sub(c, c, e0); \ + \ + element_mul(e0, a, numx); \ + element_mul(e1, b, numy); \ + element_add(e0, e0, e1); \ + element_add(e0, e0, c); \ + element_mul(e, e, e0); \ + \ + element_mul(e0, a, denomx); \ + element_mul(e1, b, denomy); \ + element_add(e0, e0, e1); \ + element_add(e0, e0, c); \ + element_mul(edenom, edenom, e0); \ + } + + element_init(a, res->field); + element_init(b, res->field); + element_init(c, res->field); + element_init(e0, res->field); + element_init(e1, res->field); + element_init(z, res->field); + element_init(z2, res->field); + element_set1(z); + element_set1(z2); + + element_init(v, res->field); + element_init(vd, res->field); + element_init(v1, res->field); + element_init(vd1, res->field); + element_init(Z, P->field); + element_init(Z1, P->field); + + element_set(Z, P); + Zx = curve_x_coord(Z); + Zy = curve_y_coord(Z); + + element_set1(v); + element_set1(vd); + element_set1(v1); + element_set1(vd1); + + n = p->exp1; + for (i=0; i<n; i++) { + element_square(v, v); + element_square(vd, vd); + do_tangent(v, vd); + proj_double(); + do_vertical(vd, v, Zx); + } + to_affine(); + if (p->sign1 < 0) { + element_set(v1, vd); + element_set(vd1, v); + do_vertical(vd1, v1, Zx); + element_neg(Z1, Z); + } else { + element_set(v1, v); + element_set(vd1, vd); + element_set(Z1, Z); + } + n = p->exp2; + for (; i<n; i++) { + element_square(v, v); + element_square(vd, vd); + do_tangent(v, vd); + proj_double(); + do_vertical(vd, v, Zx); + } + to_affine(); + element_mul(v, v, v1); + element_mul(vd, vd, vd1); + do_line(v, vd, Z, Z1); + element_add(Z, Z, Z1); + do_vertical(vd, v, Zx); + + if (p->sign0 > 0) { + do_vertical(v, vd, Px); + } + + element_invert(vd, vd); + element_mul(res, v, vd); + + element_clear(v); + element_clear(vd); + element_clear(v1); + element_clear(vd1); + element_clear(z); + element_clear(z2); + element_clear(Z); + element_clear(Z1); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(e0); + element_clear(e1); + #undef to_affine + #undef proj_double + #undef do_tangent + #undef do_vertical + #undef do_line +} + +static void e_miller_affine(element_t res, element_t P, + element_ptr QR, element_ptr R, + e_pairing_data_ptr p) { + //collate divisions + int n; + element_t v, vd; + element_t v1, vd1; + element_t Z, Z1; + element_t a, b, c; + element_t e0, e1; + const element_ptr Px = curve_x_coord(P); + const element_ptr cca = curve_a_coeff(P); + element_ptr Zx, Zy; + int i; + const element_ptr numx = curve_x_coord(QR); + const element_ptr numy = curve_y_coord(QR); + const element_ptr denomx = curve_x_coord(R); + const element_ptr denomy = curve_y_coord(R); + + #define do_vertical(e, edenom, Ax) { \ + element_sub(e0, numx, Ax); \ + element_mul(e, e, e0); \ + \ + element_sub(e0, denomx, Ax); \ + element_mul(edenom, edenom, e0); \ + } + + #define do_tangent(e, edenom) { \ + /* a = -slope_tangent(A.x, A.y); */ \ + /* b = 1; */ \ + /* c = -(A.y + a * A.x); */ \ + /* but we multiply by 2*A.y to avoid division */ \ + \ + /* a = -Ax * (Ax + Ax + Ax + twicea_2) - a_4; */ \ + /* Common curves: a2 = 0 (and cc->a is a_4), so */ \ + /* a = -(3 Ax^2 + cc->a) */ \ + /* b = 2 * Ay */ \ + /* c = -(2 Ay^2 + a Ax); */ \ + \ + element_square(a, Zx); \ + element_mul_si(a, a, 3); \ + element_add(a, a, cca); \ + element_neg(a, a); \ + \ + element_add(b, Zy, Zy); \ + \ + element_mul(e0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, e0); \ + element_neg(c, c); \ + \ + element_mul(e0, a, numx); \ + element_mul(e1, b, numy); \ + element_add(e0, e0, e1); \ + element_add(e0, e0, c); \ + element_mul(e, e, e0); \ + \ + element_mul(e0, a, denomx); \ + element_mul(e1, b, denomy); \ + element_add(e0, e0, e1); \ + element_add(e0, e0, c); \ + element_mul(edenom, edenom, e0); \ + } + + #define do_line(e, edenom, A, B) { \ + element_ptr Ax = curve_x_coord(A); \ + element_ptr Ay = curve_y_coord(A); \ + element_ptr Bx = curve_x_coord(B); \ + element_ptr By = curve_y_coord(B); \ + \ + element_sub(b, Bx, Ax); \ + element_sub(a, Ay, By); \ + element_mul(c, Ax, By); \ + element_mul(e0, Ay, Bx); \ + element_sub(c, c, e0); \ + \ + element_mul(e0, a, numx); \ + element_mul(e1, b, numy); \ + element_add(e0, e0, e1); \ + element_add(e0, e0, c); \ + element_mul(e, e, e0); \ + \ + element_mul(e0, a, denomx); \ + element_mul(e1, b, denomy); \ + element_add(e0, e0, e1); \ + element_add(e0, e0, c); \ + element_mul(edenom, edenom, e0); \ + } + + element_init(a, res->field); + element_init(b, res->field); + element_init(c, res->field); + element_init(e0, res->field); + element_init(e1, res->field); + + element_init(v, res->field); + element_init(vd, res->field); + element_init(v1, res->field); + element_init(vd1, res->field); + element_init(Z, P->field); + element_init(Z1, P->field); + + element_set(Z, P); + Zx = curve_x_coord(Z); + Zy = curve_y_coord(Z); + + element_set1(v); + element_set1(vd); + element_set1(v1); + element_set1(vd1); + + n = p->exp1; + for (i=0; i<n; i++) { + element_square(v, v); + element_square(vd, vd); + do_tangent(v, vd); + element_double(Z, Z); + do_vertical(vd, v, Zx); + } + if (p->sign1 < 0) { + element_set(v1, vd); + element_set(vd1, v); + do_vertical(vd1, v1, Zx); + element_neg(Z1, Z); + } else { + element_set(v1, v); + element_set(vd1, vd); + element_set(Z1, Z); + } + n = p->exp2; + for (; i<n; i++) { + element_square(v, v); + element_square(vd, vd); + do_tangent(v, vd); + element_double(Z, Z); + do_vertical(vd, v, Zx); + } + element_mul(v, v, v1); + element_mul(vd, vd, vd1); + do_line(v, vd, Z, Z1); + element_add(Z, Z, Z1); + do_vertical(vd, v, Zx); + + if (p->sign0 > 0) { + do_vertical(v, vd, Px); + } + + element_invert(vd, vd); + element_mul(res, v, vd); + + element_clear(v); + element_clear(vd); + element_clear(v1); + element_clear(vd1); + element_clear(Z); + element_clear(Z1); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(e0); + element_clear(e1); + #undef do_vertical + #undef do_tangent + #undef do_line +} + +static void (*e_miller_fn)(element_t res, element_t P, + element_ptr QR, element_ptr R, + e_pairing_data_ptr p); + +static void e_pairing(element_ptr out, element_ptr in1, element_ptr in2, + pairing_t pairing) { + e_pairing_data_ptr p = pairing->data; + element_ptr Q = in2; + element_t QR; + element_init(QR, p->Eq); + element_add(QR, Q, p->R); + e_miller_fn(out, in1, QR, p->R, p); + element_pow_mpz(out, out, pairing->phikonr); + element_clear(QR); +} + +// in1, in2 are from E(F_q), out from F_q^2. +// Pairing via elliptic nets (see Stange). +static void e_pairing_ellnet(element_ptr out, element_ptr in1, element_ptr in2, + pairing_t pairing) { + const element_ptr a = curve_a_coeff(in1); + const element_ptr b = curve_b_coeff(in1); + + element_ptr x = curve_x_coord(in1); + element_ptr y = curve_y_coord(in1); + + element_ptr x2 = curve_x_coord(in2); + element_ptr y2 = curve_y_coord(in2); + + //notation: cmi means c_{k-i}, ci means c_{k+i} + element_t cm3, cm2, cm1, c0, c1, c2, c3, c4; + element_t dm1, d0, d1; + element_t A, B, C; + + element_init_same_as(cm3, x); + element_init_same_as(cm2, x); + element_init_same_as(cm1, x); + element_init_same_as(c0, x); + element_init_same_as(c1, x); + element_init_same_as(c2, x); + element_init_same_as(c3, x); + element_init_same_as(c4, x); + element_init_same_as(C, x); + + element_init_same_as(dm1, out); + element_init_same_as(d0, out); + element_init_same_as(d1, out); + element_init_same_as(A, x); + element_init_same_as(B, out); + + // c1 = 2y + // cm3 = -2y + element_double(c1, y); + element_neg(cm3, c1); + + //use c0, cm1, cm2, C, c4 as temp variables for now + //compute c3, c2 + element_square(cm2, x); + element_square(C, cm2); + element_mul(cm1, b, x); + element_double(cm1, cm1); + element_square(c4, a); + + element_mul(c2, cm1, cm2); + element_double(c2, c2); + element_mul(c0, a, C); + element_add(c2, c2, c0); + element_mul(c0, c4, cm2); + element_sub(c2, c2, c0); + element_double(c0, c2); + element_double(c0, c0); + element_add(c2, c2, c0); + + element_mul(c0, cm1, a); + element_square(c3, b); + element_double(c3, c3); + element_double(c3, c3); + element_add(c0, c0, c3); + element_double(c0, c0); + element_mul(c3, a, c4); + element_add(c0, c0, c3); + element_sub(c2, c2, c0); + element_mul(c0, cm2, C); + element_add(c3, c0, c2); + element_mul(c3, c3, c1); + element_double(c3, c3); + + element_mul(c0, a, cm2); + element_add(c0, c0, cm1); + element_double(c0, c0); + element_add(c0, c0, C); + element_double(c2, c0); + element_add(c0, c0, c2); + element_sub(c2, c0, c4); + + // c0 = 1 + // cm2 = -1 + element_set1(c0); + element_neg(cm2, c0); + + // c4 = c_5 = c_2^3 c_4 - c_3^3 = c1^3 c3 - c2^3 + element_square(C, c1); + element_mul(c4, C, c1); + element_mul(c4, c4, c3); + element_square(C, c2); + element_mul(C, C, c2); + element_sub(c4, c4, C); + + //compute A, B, d1 (which is d_2 since k = 1) + element_sub(A, x, x2); + element_double(C, x); + element_add(C, C, x2); + element_square(cm1, A); + element_mul(cm1, C, cm1); + element_add(d1, y, y2); + element_square(d1, d1); + element_sub(B, cm1, d1); + element_invert(B, B); + element_invert(A, A); + + element_sub(d1, y, y2); + element_mul(d1, d1, A); + element_square(d1, d1); + element_sub(d1, C, d1); + + // cm1 = 0 + // C = (2y)^-1 + element_set0(cm1); + element_invert(C, c1); + + element_set1(dm1); + element_set1(d0); + + element_t sm2, sm1; + element_t s0, s1, s2, s3; + element_t tm2, tm1; + element_t t0, t1, t2, t3; + element_t e0, e1; + element_t u, v; + + element_init_same_as(sm2, x); + element_init_same_as(sm1, x); + element_init_same_as(s0, x); + element_init_same_as(s1, x); + element_init_same_as(s2, x); + element_init_same_as(s3, x); + + element_init_same_as(tm2, x); + element_init_same_as(tm1, x); + element_init_same_as(t0, x); + element_init_same_as(t1, x); + element_init_same_as(t2, x); + element_init_same_as(t3, x); + + element_init_same_as(e0, x); + element_init_same_as(e1, x); + + element_init_same_as(u, d0); + element_init_same_as(v, d0); + + int m = mpz_sizeinbase(pairing->r, 2) - 2; + for (;;) { + element_square(sm2, cm2); + element_square(sm1, cm1); + element_square(s0, c0); + element_square(s1, c1); + element_square(s2, c2); + element_square(s3, c3); + + element_mul(tm2, cm3, cm1); + element_mul(tm1, cm2, c0); + element_mul(t0, cm1, c1); + element_mul(t1, c0, c2); + element_mul(t2, c1, c3); + element_mul(t3, c2, c4); + + element_square(u, d0); + element_mul(v, dm1, d1); + + if (mpz_tstbit(pairing->r, m)) { + //double-and-add + element_mul(e0, t0, sm2); + element_mul(e1, tm2, s0); + element_sub(cm3, e0, e1); + element_mul(cm3, cm3, C); + + element_mul(e0, t0, sm1); + element_mul(e1, tm1, s0); + element_sub(cm2, e0, e1); + + element_mul(e0, t1, sm1); + element_mul(e1, tm1, s1); + element_sub(cm1, e0, e1); + element_mul(cm1, cm1, C); + + element_mul(e0, t1, s0); + element_mul(e1, t0, s1); + element_sub(c0, e0, e1); + + element_mul(e0, t2, s0); + element_mul(e1, t0, s2); + element_sub(c1, e0, e1); + element_mul(c1, c1, C); + + element_mul(e0, t2, s1); + element_mul(e1, t1, s2); + element_sub(c2, e0, e1); + + element_mul(e0, t3, s1); + element_mul(e1, t1, s3); + element_sub(c3, e0, e1); + element_mul(c3, c3, C); + + element_mul(e0, t3, s2); + element_mul(e1, t2, s3); + element_sub(c4, e0, e1); + + element_mul(out, u, t0); + element_mul(dm1, v, s0); + element_sub(dm1, dm1, out); + + element_mul(out, u, t1); + element_mul(d0, v, s1); + element_sub(d0, d0, out); + element_mul(d0, d0, A); + + element_mul(out, u, t2); + element_mul(d1, v, s2); + element_sub(d1, d1, out); + element_mul(d1, d1, B); + } else { + //double + element_mul(e0, tm1, sm2); + element_mul(e1, tm2, sm1); + element_sub(cm3, e0, e1); + + element_mul(e0, t0, sm2); + element_mul(e1, tm2, s0); + element_sub(cm2, e0, e1); + element_mul(cm2, cm2, C); + + element_mul(e0, t0, sm1); + element_mul(e1, tm1, s0); + element_sub(cm1, e0, e1); + + element_mul(e0, t1, sm1); + element_mul(e1, tm1, s1); + element_sub(c0, e0, e1); + element_mul(c0, c0, C); + + element_mul(e0, t1, s0); + element_mul(e1, t0, s1); + element_sub(c1, e0, e1); + + element_mul(e0, t2, s0); + element_mul(e1, t0, s2); + element_sub(c2, e0, e1); + element_mul(c2, c2, C); + + element_mul(e0, t2, s1); + element_mul(e1, t1, s2); + element_sub(c3, e0, e1); + + element_mul(e0, t3, s1); + element_mul(e1, t1, s3); + element_sub(c4, e0, e1); + element_mul(c4, c4, C); + + element_mul(out, u, tm1); + element_mul(dm1, v, sm1); + element_sub(dm1, dm1, out); + + element_mul(out, u, t0); + element_mul(d0, v, s0); + element_sub(d0, d0, out); + + element_mul(out, u, t1); + element_mul(d1, v, s1); + element_sub(d1, d1, out); + element_mul(d1, d1, A); + } + if (!m) break; + m--; + } + element_invert(c1, c1); + element_mul(d1, d1, c1); + + element_pow_mpz(out, d1, pairing->phikonr); + + element_clear(dm1); + element_clear(d0); + element_clear(d1); + + element_clear(cm3); + element_clear(cm2); + element_clear(cm1); + element_clear(c0); + element_clear(c1); + element_clear(c2); + element_clear(c3); + element_clear(c4); + + element_clear(sm2); + element_clear(sm1); + element_clear(s0); + element_clear(s1); + element_clear(s2); + element_clear(s3); + + element_clear(tm2); + element_clear(tm1); + element_clear(t0); + element_clear(t1); + element_clear(t2); + element_clear(t3); + + element_clear(e0); + element_clear(e1); + element_clear(A); + element_clear(B); + element_clear(C); + element_clear(u); + element_clear(v); +} + +static void phi_identity(element_ptr out, element_ptr in, pairing_ptr pairing) { + (void) pairing; + element_set(out, in); +} + +static void e_pairing_option_set(pairing_t pairing, char *key, char *value) { + //TODO: this affects every type E pairing! + UNUSED_VAR(pairing); + if (!strcmp(key, "method")) { + if (!strcmp(value, "miller")) { + pairing->map = e_pairing; + e_miller_fn = e_miller_proj; + } else if (!strcmp(value, "miller-affine")) { + pairing->map = e_pairing; + e_miller_fn = e_miller_affine; + } else if (!strcmp(value, "shipsey-stange")) { + pairing->map = e_pairing_ellnet; + } + } +} + +static void e_pairing_clear(pairing_t pairing) { + field_clear(pairing->GT); + e_pairing_data_ptr p = pairing->data; + field_clear(p->Fq); + field_clear(p->Eq); + element_clear(p->R); + pbc_free(p); + + mpz_clear(pairing->phikonr); + mpz_clear(pairing->r); + field_clear(pairing->Zr); +} + +static void e_finalpow(element_ptr e) { + element_pow_mpz(e->data, e->data, e->field->pairing->phikonr); +} + +static void e_init_pairing(pairing_t pairing, void *data) { + e_param_ptr param = data; + e_pairing_data_ptr p; + element_t a, b; + + mpz_init(pairing->r); + mpz_set(pairing->r, param->r); + field_init_fp(pairing->Zr, pairing->r); + pairing->map = e_pairing; + e_miller_fn = e_miller_proj; + + p = pairing->data = pbc_malloc(sizeof(e_pairing_data_t)); + p->exp2 = param->exp2; + p->exp1 = param->exp1; + p->sign1 = param->sign1; + p->sign0 = param->sign0; + field_init_fp(p->Fq, param->q); + element_init(a, p->Fq); + element_init(b, p->Fq); + element_set_mpz(a, param->a); + element_set_mpz(b, param->b); + field_init_curve_ab(p->Eq, a, b, pairing->r, param->h); + + //k=1, hence phikonr = (p-1)/r + mpz_init(pairing->phikonr); + mpz_sub_ui(pairing->phikonr, p->Fq->order, 1); + mpz_divexact(pairing->phikonr, pairing->phikonr, pairing->r); + + pairing->G2 = pairing->G1 = p->Eq; + pairing_GT_init(pairing, p->Fq); + pairing->finalpow = e_finalpow; + pairing->phi = phi_identity; + pairing->option_set = e_pairing_option_set; + pairing->clear_func = e_pairing_clear; + + element_init(p->R, p->Eq); + curve_set_gen_no_cofac(p->R); + + element_clear(a); + element_clear(b); +} + +static void e_init(pbc_param_ptr p) { + static pbc_param_interface_t interface = {{ + e_clear, + e_init_pairing, + e_out_str, + }}; + p->api = interface; + e_param_ptr ep = p->data = pbc_malloc(sizeof(*ep)); + mpz_init(ep->q); + mpz_init(ep->r); + mpz_init(ep->h); + mpz_init(ep->a); + mpz_init(ep->b); +} + +// Public interface: + +int pbc_param_init_e(pbc_param_ptr par, struct symtab_s *tab) { + e_init(par); + e_param_ptr p = par->data; + + int err = 0; + err += lookup_mpz(p->q, tab, "q"); + err += lookup_mpz(p->r, tab, "r"); + err += lookup_mpz(p->h, tab, "h"); + err += lookup_mpz(p->a, tab, "a"); + err += lookup_mpz(p->b, tab, "b"); + err += lookup_int(&p->exp2, tab, "exp2"); + err += lookup_int(&p->exp1, tab, "exp1"); + err += lookup_int(&p->sign1, tab, "sign1"); + err += lookup_int(&p->sign0, tab, "sign0"); + return err; +} + +void pbc_param_init_e_gen(pbc_param_t par, int rbits, int qbits) { + e_init(par); + e_param_ptr p = par->data; + //3 takes 2 bits to represent + int hbits = (qbits - 2) / 2 - rbits; + mpz_ptr q = p->q; + mpz_ptr r = p->r; + mpz_ptr h = p->h; + mpz_t n; + field_t Fq; + field_t cc; + element_t j; + int found = 0; + + //won't find any curves is hbits is too low + if (hbits < 3) hbits = 3; + + mpz_init(n); + + do { + int i; + mpz_set_ui(r, 0); + + if (rand() % 2) { + p->exp2 = rbits - 1; + p->sign1 = 1; + } else { + p->exp2 = rbits; + p->sign1 = -1; + } + mpz_setbit(r, p->exp2); + + p->exp1 = (rand() % (p->exp2 - 1)) + 1; + //use q as a temp variable + mpz_set_ui(q, 0); + mpz_setbit(q, p->exp1); + + if (p->sign1 > 0) { + mpz_add(r, r, q); + } else { + mpz_sub(r, r, q); + } + + if (rand() % 2) { + p->sign0 = 1; + mpz_add_ui(r, r, 1); + } else { + p->sign0 = -1; + mpz_sub_ui(r, r, 1); + } + if (!mpz_probab_prime_p(r, 10)) continue; + for (i=0; i<10; i++) { + //use q as a temp variable + mpz_set_ui(q, 0); + mpz_setbit(q, hbits + 1); + pbc_mpz_random(h, q); + mpz_mul(h, h, h); + mpz_mul_ui(h, h, 3); + //finally q takes the value it should + mpz_mul(n, r, r); + mpz_mul(n, n, h); + mpz_add_ui(q, n, 1); + if (mpz_probab_prime_p(q, 10)) { + found = 1; + break; + } + } + } while (!found); + /* + do { + mpz_set_ui(r, 0); + mpz_setbit(r, rbits); + pbc_mpz_random(r, r); + mpz_nextprime(r, r); + mpz_mul(n, r, r); + mpz_mul_ui(n, n, 3); + mpz_add_ui(q, n, 1); + } while (!mpz_probab_prime_p(q, 10)); + */ + + field_init_fp(Fq, q); + element_init(j, Fq); + element_set_si(j, 1); + field_init_curve_b(cc, j, n, NULL); + element_clear(j); + // We may need to twist it. + { + // Pick a random point P and twist the curve if P has the wrong order. + element_t P; + element_init(P, cc); + element_random(P); + element_mul_mpz(P, P, n); + if (!element_is0(P)) field_reinit_curve_twist(cc); + element_clear(P); + } + element_to_mpz(p->a, curve_field_a_coeff(cc)); + element_to_mpz(p->b, curve_field_b_coeff(cc)); + + mpz_clear(n); +} diff --git a/moon-abe/pbc-0.5.14/ecc/eta_T_3.c b/moon-abe/pbc-0.5.14/ecc/eta_T_3.c new file mode 100644 index 00000000..44396b76 --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/eta_T_3.c @@ -0,0 +1,835 @@ +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_fp.h" +#include "pbc_memory.h" +#include "pbc_param.h" +#include "pbc_pairing.h" +#include "pbc_ternary_extension_field.h" +#include "param.h" + +typedef struct { /* private data of $GF(3^m)$ */ + unsigned int len; /* the number of native machine integers required to represent one GF(3^m) element */ + int m; /* the irreducible polynomial is $x^m + x^t + 2$ */ + int t; /* the irreducible polynomial is $x^m + x^t + 2$ */ + element_ptr p; /* $p$ is the irreducible polynomial. */ + mpz_t n; /* group order of $G_1$, $G_2$, $G_T$ */ + mpz_t n2; /* order(elliptic curve points) / order(G_1) */ +} params; + +struct pairing_data { + field_t gf3m, gf32m, gf36m; + mpz_t n2; // cofactor +}; +typedef struct pairing_data *pairing_data_ptr; + +#define PARAM(e) ((params *)e->field->data) +#define ITEM(e,x,y) (element_item(element_item(e,x),y)) +#define print(e) {printf(#e": "); element_out_str(stdout, 10, e); printf("\n");} + +struct point_s { // points on the elliptic curve $y^2=x^3-x+1$ + int isinf; + element_t x, y; +}; +typedef struct point_s *point_ptr; +typedef struct point_s point_t[1]; + +#define FIELD(e) ((field_ptr) e->field) +#define BASE(e) ((field_ptr) FIELD(e)->data) +#define DATA(e) ((point_ptr) e->data) + +static void point_set(element_t e, element_t a) { + point_ptr r = DATA(e), p = DATA(a); + r->isinf = p->isinf; + if (!p->isinf) { + element_set(r->x, p->x); + element_set(r->y, p->y); + } +} + +static void point_init(element_t e) { + field_ptr f = BASE(e); + e->data = pbc_malloc(sizeof(struct point_s)); + point_ptr p = DATA(e); + element_init(p->x, f); + element_init(p->y, f); + p->isinf = 1; +} + +static void point_clear(element_t e) { + point_ptr p = DATA(e); + element_clear(p->x); + element_clear(p->y); + pbc_free(p); +} + +/* return 1 if $a!=b$, 0 otherwise. */ +static int point_cmp(element_t a, element_t b) { + point_ptr pa = DATA(a), pb = DATA(b); + if (pa->isinf == pb->isinf) { + if (pa->isinf) + return 0; + else + return element_cmp(pa->x, pb->x) || element_cmp(pa->y, pb->y); + } else + return 1; +} + +static void point_set0(element_ptr e) { + DATA(e)->isinf = 1; +} + +static int point_is0(element_ptr e) { + return DATA(e)->isinf; +} + +static void point_random(element_t a) { + point_ptr p = DATA(a); + element_ptr x = p->x, y = p->y; + field_ptr f = x->field; + p->isinf = 0; + element_t t, t2, e1; + element_init(t, f); + element_init(e1, f); + element_set1(e1); + element_init(t2, f); + do { + element_random(x); + if (element_is0(x)) + continue; + element_cubic(t, x); // t == x^3 + element_sub(t, t, x); // t == x^3 - x + element_add(t, t, e1); // t == x^3 - x + 1 + element_sqrt(y, t); // y == sqrt(x^3 - x + 1) + element_mul(t2, y, y); // t2 == x^3 - x + 1 + } while (element_cmp(t2, t)); // t2 != t + + // make sure order of $a$ is order of $G_1$ + pairing_ptr pairing = FIELD(a)->pairing; + pairing_data_ptr dp = pairing->data; + element_pow_mpz(a, a, dp->n2); + + element_clear(t); + element_clear(t2); + element_clear(e1); +} + +static void point_add(element_t c, element_t a, element_t b) { + point_ptr p1 = DATA(a), p2 = DATA(b), p3 = DATA(c); + int inf1 = p1->isinf, inf2 = p2->isinf; + element_ptr x1 = p1->x, y1 = p1->y, x2 = p2->x, y2 = p2->y; + field_ptr f = FIELD(x1); + if (inf1) { + point_set(c, b); + return; + } + if (inf2) { + point_set(c, a); + return; + } + element_t v0, v1, v2, v3, v4, ny2; + element_init(v0, f); + element_init(v1, f); + element_init(v2, f); + element_init(v3, f); + element_init(v4, f); + element_init(ny2, f); + if (!element_cmp(x1, x2)) { // x1 == x2 + element_neg(ny2, y2); // ny2 == -y2 + if (!element_cmp(y1, ny2)) { + p3->isinf = 1; + goto end; + } + if (!element_cmp(y1, y2)) { // y1 == y2 + element_invert(v0, y1); // v0 == y1^{-1} + element_mul(v1, v0, v0); // v1 == [y1^{-1}]^2 + element_add(p3->x, v1, x1); // v1 == [y1^{-1}]^2 + x1 + element_cubic(v2, v0); // v2 == [y1^{-1}]^3 + element_add(v2, v2, y1); // v2 == [y1^{-1}]^3 + y1 + element_neg(p3->y, v2); // p3 == -([y1^{-1}]^3 + y1) + p3->isinf = 0; + goto end; + } + } + // $P1 \ne \pm P2$ + element_sub(v0, x2, x1); // v0 == x2-x1 + element_invert(v1, v0); // v1 == (x2-x1)^{-1} + element_sub(v0, y2, y1); // v0 == y2-y1 + element_mul(v2, v0, v1); // v2 == (y2-y1)/(x2-x1) + element_mul(v3, v2, v2); // v3 == [(y2-y1)/(x2-x1)]^2 + element_cubic(v4, v2); // v4 == [(y2-y1)/(x2-x1)]^3 + element_add(v0, x1, x2); // v0 == x1+x2 + element_sub(v3, v3, v0); // v3 == [(y2-y1)/(x2-x1)]^2 - (x1+x2) + element_add(v0, y1, y2); // v0 == y1+y2 + element_sub(v4, v0, v4); // v4 == (y1+y2) - [(y2-y1)/(x2-x1)]^3 + p3->isinf = 0; + element_set(p3->x, v3); + element_set(p3->y, v4); + end: element_clear(v0); + element_clear(v1); + element_clear(v2); + element_clear(v3); + element_clear(v4); + element_clear(ny2); +} + +static void point_invert(element_ptr e, element_ptr a) { + point_ptr r = DATA(e), p = DATA(a); + r->isinf = p->isinf; + if (!p->isinf) { + element_set(r->x, p->x); + element_neg(r->y, p->y); + } +} + +static size_t point_out_str(FILE *stream, int base, element_ptr a) { + point_ptr p = DATA(a); + size_t size = 0; + if (p->isinf) + return fprintf(stream, "O"); + else { + size += element_out_str(stream, base, p->x); + size += element_out_str(stream, base, p->y); + return size; + } +} + +static void point_field_clear(field_ptr f) { + UNUSED_VAR(f); +} + +void field_init_eta_T_3(field_t f, field_t base) { + field_init(f); + f->data = (void *) base; + f->init = point_init; + f->clear = point_clear; + f->random = point_random; + f->set = point_set; + f->cmp = point_cmp; + f->invert = f->neg = point_invert; + f->mul = f->add = point_add; + f->set1 = f->set0 = point_set0; + f->is1 = f->is0 = point_is0; + f->mul_mpz = f->pow_mpz; + f->out_str = point_out_str; + f->field_clear = point_field_clear; + f->name = "eta_T_3 point group"; +} + +/* computing of $(-t^2 +u*s -t*p -p^2)^3$ + * The algorithm is by J.Beuchat et.al, in the paper of "Algorithms and Arithmetic Operators for Computing + * the $eta_T$ Pairing in Characteristic Three", algorithm 4 in the appendix */ +static void algorithm4a(element_t S, element_t t, element_t u) { + field_ptr f = FIELD(t); + element_t e1, c0, c1, m0, v0, v2; + element_init(e1, f); + element_init(c0, f); + element_init(c1, f); + element_init(m0, f); + element_init(v0, f); + element_init(v2, f); + element_set1(e1); + element_cubic(c0, t); // c0 == t^3 + element_cubic(c1, u); + element_neg(c1, c1); // c1 == -u^3 + element_mul(m0, c0, c0); // m0 == c0^2 + element_neg(v0, m0); // v0 == -c0^2 + element_sub(v0, v0, c0); // v0 == -c0^2 -c0 + element_sub(v0, v0, e1); // v0 == -c0^2 -c0 -1 + element_set1(v2); + element_sub(v2, v2, c0); // v2 == 1 -c0 + // v1 == c1 + // S == [[v0, v1], [v2, f3m.zero()], [f3m.two(), f3m.zero()]] + element_set(ITEM(S,0,0), v0); + element_set(ITEM(S,0,1), c1); + element_set(ITEM(S,1,0), v2); + element_set0(ITEM(S,1,1)); + element_neg(ITEM(S,2,0), e1); + element_set0(ITEM(S,2,1)); + element_clear(e1); + element_clear(c0); + element_clear(c1); + element_clear(m0); + element_clear(v0); + element_clear(v2); +} + +static void algorithm5(element_t c, element_ptr xp, element_ptr yp, + element_ptr xq, element_ptr yq) { + params *p = PARAM(xp); + unsigned int re = p->m % 12; + field_ptr f = FIELD(xp) /*GF(3^m)*/, f6 = FIELD(c) /*GF(3^{6*m})*/; + element_t e1, xpp, ypp, xqq, yqq, t, nt, nt2, v1, v2, a1, a2, R, u, nu, S, S2; + element_init(e1, f); + element_init(xpp, f); + element_init(ypp, f); + element_init(xqq, f); + element_init(yqq, f); + element_init(t, f); + element_init(nt, f); + element_init(nt2, f); + element_init(v1, f); + element_init(v2, f); + element_init(a1, f6); + element_init(a2, f6); + element_init(R, f6); + element_init(u, f); + element_init(nu, f); + element_init(S, f6); + element_init(S2, f6); + element_set1(e1); + element_set(xpp, xp); + xp = xpp; // clone + element_add(xp, xp, e1); // xp == xp + b + element_set(ypp, yp); + yp = ypp; // clone + if (re == 1 || re == 11) + element_neg(yp, yp); // yp == -\mu*b*yp, \mu == 1 when re==1, or 11 + element_set(xqq, xq); + xq = xqq; // clone + element_cubic(xq, xq); // xq == xq^3 + element_set(yqq, yq); + yq = yqq; // clone + element_cubic(yq, yq); // yq == yq^3 + element_add(t, xp, xq); // t == xp+xq + element_neg(nt, t); // nt == -t + element_mul(nt2, t, nt); // nt2 == -t^2 + element_mul(v2, yp, yq); // v2 == yp*yq + element_mul(v1, yp, t); // v1 == yp*t + if (re == 7 || re == 11) { // \lambda == 1 + element_t nyp, nyq; + element_init(nyp, f); + element_init(nyq, f); + element_neg(nyp, yp); // nyp == -yp + element_neg(nyq, yq); // nyq == -yq + element_set(ITEM(a1,0,0), v1); + element_set(ITEM(a1,0,1), nyq); + element_set(ITEM(a1,1,0), nyp); + element_clear(nyp); + element_clear(nyq); + } else { // \lambda == -1 + element_neg(v1, v1); // v1 == -yp*t + element_set(ITEM(a1,0,0), v1); + element_set(ITEM(a1,0,1), yq); + element_set(ITEM(a1,1,0), yp); + } + // a2 == -t^2 +yp*yq*s -t*p -p^2 + element_set(ITEM(a2,0,0), nt2); + element_set(ITEM(a2,0,1), v2); + element_set(ITEM(a2,1,0), nt); + element_neg(ITEM(a2,2,0), e1); + element_mul(R, a1, a2); + int i; + for (i = 0; i < (p->m - 1) / 4; i++) { + element_cubic(R, R); + element_cubic(R, R); // R <= R^9 + element_cubic(xq, xq); + element_cubic(xq, xq); + element_sub(xq, xq, e1); // xq <= xq^9-b + element_cubic(yq, yq); + element_cubic(yq, yq); // yq <= yq^9 + element_add(t, xp, xq); // t == xp+xq + element_mul(u, yp, yq); // u == yp*yq + element_neg(nu, u); // nu == -yp*yq + algorithm4a(S, t, nu); // S == (-t^2 -u*s -t*p -p^2)^3 + element_cubic(xq, xq); + element_cubic(xq, xq); + element_sub(xq, xq, e1); // xq <= xq^9-b + element_cubic(yq, yq); + element_cubic(yq, yq); // yq <= yq^9 + element_add(t, xp, xq); // t == xp+xq + element_mul(u, yp, yq); // u == yp*yq + element_neg(nt, t); // nt == -t + element_mul(nt2, t, nt); // nt2 == -t^2 + // S2 = [[nt2, u], [nt, f3m.zero()], [f3m.two(), f3m.zero()]] + // S2 == -t^2 +u*s -t*p -p^2 + element_set(ITEM(S2,0,0), nt2); + element_set(ITEM(S2,0,1), u); + element_set(ITEM(S2,1,0), nt); + element_set0(ITEM(S2,1,1)); + element_neg(ITEM(S2,2,0), e1); + element_set0(ITEM(S2,2,1)); + element_mul(S, S, S2); + element_mul(R, R, S); + } + element_set(c, R); + element_clear(e1); + element_clear(xpp); + element_clear(ypp); + element_clear(xqq); + element_clear(yqq); + element_clear(t); + element_clear(nt); + element_clear(nt2); + element_clear(v1); + element_clear(v2); + element_clear(a1); + element_clear(a2); + element_clear(R); + element_clear(u); + element_clear(nu); + element_clear(S); + element_clear(S2); +} + +/* this is the algorithm 4 in the paper of J.Beuchat et.al, "Algorithms and Arithmetic Operators for Computing + * the $eta_T$ Pairing in Characteristic Three" */ +static void algorithm4(element_t c, element_ptr xp, element_ptr yp, + element_ptr xq, element_ptr yq) { + params *p = PARAM(xp); + unsigned int re = p->m % 12; + field_ptr f = FIELD(xp) /*GF(3^m)*/, f6 = FIELD(c) /*GF(3^{6*m})*/; + element_t e1, xpp, ypp, xqq, yqq, t, nt, nt2, v1, v2, a1, a2, R, u, S; + element_init(e1, f); + element_init(xpp, f); + element_init(ypp, f); + element_init(xqq, f); + element_init(yqq, f); + element_init(t, f); + element_init(nt, f); + element_init(nt2, f); + element_init(v1, f); + element_init(v2, f); + element_init(a1, f6); + element_init(a2, f6); + element_init(R, f6); + element_init(u, f); + element_init(S, f6); + element_set1(e1); + element_set(xpp, xp); + xp = xpp; // clone + element_add(xp, xp, e1); // xp == xp + b + element_set(ypp, yp); + yp = ypp; // clone + if (re == 1 || re == 11) + element_neg(yp, yp); // yp == -\mu*b*yp, \mu == 1 when re==1, or 11 + element_set(xqq, xq); + xq = xqq; // clone + element_cubic(xq, xq); // xq == xq^3 + element_set(yqq, yq); + yq = yqq; // clone + element_cubic(yq, yq); // yq == yq^3 + element_add(t, xp, xq); // t == xp+xq + element_neg(nt, t); // nt == -t + element_mul(nt2, t, nt); // nt2 == -t^2 + element_mul(v2, yp, yq); // v2 == yp*yq + element_mul(v1, yp, t); // v1 == yp*t + if (re == 7 || re == 11) { // \lambda == 1 + element_t nyp, nyq; + element_init(nyp, f); + element_init(nyq, f); + element_neg(nyp, yp); // nyp == -yp + element_neg(nyq, yq); // nyq == -yq + element_set(ITEM(a1,0,0), v1); + element_set(ITEM(a1,0,1), nyq); + element_set(ITEM(a1,1,0), nyp); + element_clear(nyp); + element_clear(nyq); + } else { // \lambda == -1 + element_neg(v1, v1); // v1 == -yp*t + element_set(ITEM(a1,0,0), v1); + element_set(ITEM(a1,0,1), yq); + element_set(ITEM(a1,1,0), yp); + } + // a2 == -t^2 +yp*yq*s -t*p -p^2 + element_set(ITEM(a2,0,0), nt2); + element_set(ITEM(a2,0,1), v2); + element_set(ITEM(a2,1,0), nt); + element_neg(ITEM(a2,2,0), e1); + element_mul(R, a1, a2); + int i; + for (i = 0; i < (p->m - 1) / 2; i++) { + element_cubic(R, R); + element_cubic(xq, xq); + element_cubic(xq, xq); + element_sub(xq, xq, e1); // xq <= xq^9-b + element_cubic(yq, yq); + element_cubic(yq, yq); + element_neg(yq, yq); // yq <= -yq^9 + element_add(t, xp, xq); // t == xp+xq + element_neg(nt, t); // nt == -t + element_mul(nt2, t, nt); // nt2 == -t^2 + element_mul(u, yp, yq); // u == yp*yq + element_set0(S); + element_set(ITEM(S,0,0), nt2); + element_set(ITEM(S,0,1), u); + element_set(ITEM(S,1,0), nt); + element_neg(ITEM(S,2,0), e1); + element_mul(R, R, S); + } + element_set(c, R); + element_clear(e1); + element_clear(xpp); + element_clear(ypp); + element_clear(xqq); + element_clear(yqq); + element_clear(t); + element_clear(nt); + element_clear(nt2); + element_clear(v1); + element_clear(v2); + element_clear(a1); + element_clear(a2); + element_clear(R); + element_clear(u); + element_clear(S); +} + +/* computation of $c <- U ^ {3^{3m} - 1}$ + * This is the algorithm 6 in the paper above. */ +static void algorithm6(element_t c, element_t u) { + element_ptr u0 = ITEM(u,0,0), u1 = ITEM(u,0,1), u2 = ITEM(u,1,0), u3 = + ITEM(u,1,1), u4 = ITEM(u,2,0), u5 = ITEM(u,2,1); + field_ptr f = FIELD(u0); /*GF(3^m)*/ + field_t f3; /*GF(3^{3*m})*/ + field_init_gf33m(f3, f); + element_t v0, v1, m0, m1, m2, a0, a1, i; + element_init(v0, f3); + element_init(v1, f3); + element_init(m0, f3); + element_init(m1, f3); + element_init(m2, f3); + element_init(a0, f3); + element_init(a1, f3); + element_init(i, f3); + element_set(element_item(v0, 0), u0); + element_set(element_item(v0, 1), u2); + element_set(element_item(v0, 2), u4); + element_set(element_item(v1, 0), u1); + element_set(element_item(v1, 1), u3); + element_set(element_item(v1, 2), u5); + element_mul(m0, v0, v0); + element_mul(m1, v1, v1); + element_mul(m2, v0, v1); + element_sub(a0, m0, m1); + element_add(a1, m0, m1); + element_invert(i, a1); + element_mul(v0, a0, i); + element_mul(v1, m2, i); + element_set(ITEM(c,0,0), element_item(v0, 0)); + element_set(ITEM(c,1,0), element_item(v0, 1)); + element_set(ITEM(c,2,0), element_item(v0, 2)); + element_set(ITEM(c,0,1), element_item(v1, 0)); + element_set(ITEM(c,1,1), element_item(v1, 1)); + element_set(ITEM(c,2,1), element_item(v1, 2)); + element_clear(v0); + element_clear(v1); + element_clear(m0); + element_clear(m1); + element_clear(m2); + element_clear(a0); + element_clear(a1); + element_clear(i); + field_clear(f3); +} + +/* computation of $c <- U ^ {3^m+1}$, $U \in T_2(F_{3^3M})$ + * This is the algorithm 7 in the paper above. */ +static void algorithm7(element_t c, element_t u) { + element_ptr u0 = ITEM(u,0,0), u1 = ITEM(u,0,1), u2 = ITEM(u,1,0), u3 = + ITEM(u,1,1), u4 = ITEM(u,2,0), u5 = ITEM(u,2,1); + field_ptr f = FIELD(u0); /*GF(3^m)*/ + params *p = PARAM(u0); + element_t a0, a1, a2, a3, a4, a5, a6, m0, m1, m2, m3, m4, m5, m6, m7, m8, + v0, v1, v2, v3, v4, v5, e1; + element_init(a0, f); + element_init(a1, f); + element_init(a2, f); + element_init(a3, f); + element_init(a4, f); + element_init(a5, f); + element_init(a6, f); + element_init(m0, f); + element_init(m1, f); + element_init(m2, f); + element_init(m3, f); + element_init(m4, f); + element_init(m5, f); + element_init(m6, f); + element_init(m7, f); + element_init(m8, f); + element_init(v0, f); + element_init(v1, f); + element_init(v2, f); + element_init(v3, f); + element_init(v4, f); + element_init(v5, f); + element_init(e1, f); + element_set1(e1); + element_add(a0, u0, u1); + element_add(a1, u2, u3); + element_sub(a2, u4, u5); + element_mul(m0, u0, u4); + element_mul(m1, u1, u5); + element_mul(m2, u2, u4); + element_mul(m3, u3, u5); + element_mul(m4, a0, a2); + element_mul(m5, u1, u2); + element_mul(m6, u0, u3); + element_mul(m7, a0, a1); + element_mul(m8, a1, a2); + element_add(a3, m5, m6); + element_sub(a3, a3, m7); + element_neg(a4, m2); + element_sub(a4, a4, m3); + element_sub(a5, m3, m2); + element_sub(a6, m1, m0); + element_add(a6, a6, m4); + if (p->m % 6 == 1) { + element_add(v0, m0, m1); + element_add(v0, v0, a4); + element_add(v0, e1, v0); + element_sub(v1, m5, m6); + element_add(v1, v1, a6); + element_sub(v2, a4, a3); + element_add(v3, m8, a5); + element_sub(v3, v3, a6); + element_add(v4, a3, a4); + element_neg(v4, v4); + element_add(v5, m8, a5); + } else { // p->m % 6 == 5 + element_add(v0, m0, m1); + element_sub(v0, v0, a4); + element_add(v0, e1, v0); + element_sub(v1, m6, m5); + element_add(v1, v1, a6); + element_set(v2, a3); + element_add(v3, m8, a5); + element_add(v3, v3, a6); + element_add(v4, a3, a4); + element_neg(v4, v4); + element_add(v5, m8, a5); + element_neg(v5, v5); + } + element_set(ITEM(c,0,0), v0); + element_set(ITEM(c,0,1), v1); + element_set(ITEM(c,1,0), v2); + element_set(ITEM(c,1,1), v3); + element_set(ITEM(c,2,0), v4); + element_set(ITEM(c,2,1), v5); + element_clear(a0); + element_clear(a1); + element_clear(a2); + element_clear(a3); + element_clear(a4); + element_clear(a5); + element_clear(a6); + element_clear(m0); + element_clear(m1); + element_clear(m2); + element_clear(m3); + element_clear(m4); + element_clear(m5); + element_clear(m6); + element_clear(m7); + element_clear(m8); + element_clear(v0); + element_clear(v1); + element_clear(v2); + element_clear(v3); + element_clear(v4); + element_clear(v5); + element_clear(e1); +} + +/* computing $c <- U^M, M=(3^{3m}-1)*(3^m+1)*(3^m+1-\mu*b*3^{(m+1)//2})$ + * This is the algorithm 8 in the paper above. */ +static void algorithm8(element_t c, element_t u) { + field_ptr f6 = FIELD(u), f = FIELD(ITEM(u,0,0)); + params *p = (params *) f->data; + element_t v, w; + element_init(v, f6); + element_init(w, f6); + algorithm6(v, u); + algorithm7(v, v); + element_set(w, v); + int i; + for (i = 0; i < (p->m + 1) / 2; i++) + element_cubic(w, w); + algorithm7(v, v); + if (p->m % 12 == 1 || p->m % 12 == 11) { // w <= w^{-\mu*b} + element_ptr e; + e = ITEM(w,0,1); + element_neg(e, e); + e = ITEM(w,1,1); + element_neg(e, e); + e = ITEM(w,2,1); + element_neg(e, e); + } + element_mul(c, v, w); + element_clear(v); + element_clear(w); +} + +/* computing the Eta_T bilinear pairing $c <- Eta_T pairing(P,R)$ */ +static void eta_T_pairing(element_ptr c, element_ptr P, element_ptr R, struct pairing_s *p) { + UNUSED_VAR(p); + if (DATA(P)->isinf || DATA(R)->isinf) + element_set1(c); + else { + element_ptr x1 = DATA(P)->x, y1 = DATA(P)->y, x2 = DATA(R)->x, y2 = + DATA(R)->y; + if((PARAM(x1)->m - 1) / 2 % 2 == 0) + algorithm5(c, x1, y1, x2, y2); + else + algorithm4(c, x1, y1, x2, y2); + algorithm8(c, c); + } +} + +static void eta_T_3_clear(params *p) { + mpz_clear(p->n); + mpz_clear(p->n2); + pbc_free(p); +} + +static void GT_random(element_ptr e) { + element_t a, b; + element_init(a, e->field->pairing->G1); + element_init(b, e->field->pairing->G1); + element_random(a); + element_random(b); + element_pairing(e, a, b); + element_clear(a); + element_clear(b); +} + +static void eta_T_3_pairing_clear(pairing_t pairing) { + mpz_clear(pairing->r); + field_clear(pairing->Zr); + field_clear(pairing->GT); + field_clear(pairing->G1); + pbc_free(pairing->G1); + pairing_data_ptr dp = pairing->data; + field_clear(dp->gf3m); + field_clear(dp->gf32m); + field_clear(dp->gf36m); + mpz_clear(dp->n2); + pbc_free(dp); +} + +static void eta_T_3_init_pairing(pairing_t pairing, params *p) { + mpz_init(pairing->r); + mpz_set(pairing->r, p->n); + field_init_fp(pairing->Zr, pairing->r); + + pairing_data_ptr dp = pbc_malloc(sizeof(*dp)); + mpz_init(dp->n2); + mpz_set(dp->n2, p->n2); + field_init_gf3m(dp->gf3m, p->m, p->t); + field_init_gf32m(dp->gf32m, dp->gf3m); + field_init_gf33m(dp->gf36m, dp->gf32m); + pairing_GT_init(pairing, dp->gf36m); + pairing->GT->name = "eta_T_3 group of roots of 1"; + pairing->GT->random = GT_random; + pairing->G2 = pairing->G1 = pbc_malloc(sizeof(field_t)); + field_init_eta_T_3(pairing->G1, dp->gf3m); + pairing->G1->pairing = pairing; + mpz_set(pairing->G1->order, p->n); + mpz_set(pairing->GT->order, p->n); + pairing->map = eta_T_pairing; + pairing->data = dp; + pairing->clear_func = eta_T_3_pairing_clear; +} + +static void eta_T_3_out_str(FILE *stream, params *p) { + param_out_type(stream, "i"); + param_out_int(stream, "m", p->m); + param_out_int(stream, "t", p->t); + param_out_mpz(stream, "n", p->n); + param_out_mpz(stream, "n2", p->n2); +} + +static void param_init(pbc_param_ptr p) { + static pbc_param_interface_t interface = {{ + (void (*)(void *))eta_T_3_clear, + (void (*)(pairing_t, void *))eta_T_3_init_pairing, + (void (*)(FILE *, void *))eta_T_3_out_str, + }}; + p->api = interface; + params *param = p->data = pbc_malloc(sizeof(*param)); + mpz_init(param->n); + mpz_init(param->n2); +} + +int pbc_param_init_i(pbc_param_ptr p, struct symtab_s *tab) { + param_init(p); + params *param = p->data; + int err = 0; + err += lookup_int(¶m->m, tab, "m"); + err += lookup_int(¶m->t, tab, "t"); + err += lookup_mpz(param->n, tab, "n"); + err += lookup_mpz(param->n2, tab, "n2"); + return err; +} + +void pbc_param_init_i_gen(pbc_param_ptr par, int group_size) { + param_init(par); + params *p = par->data; + if (group_size <= 150) { + p->m = 97; + p->t = 12; + mpz_set_str(p->n, "2726865189058261010774960798134976187171462721", 10); + mpz_set_str(p->n2, "7", 10); + } else if (group_size <= 206) { + p->m = 199; + p->t = 164; + mpz_set_str(p->n, "167725321489096000055336949742738378351010268990525380470313869", 10); + mpz_set_str(p->n2, "527874953560391326545598291952743", 10); + } else if (group_size <= 259) { + p->m = 235; + p->t = 26; + mpz_set_str(p->n, "1124316700897695330265827797088699345032488681307846555184025129863722718180241", 10); + mpz_set_str(p->n2, "11819693021332914275777073321995059", 10); + } else if (group_size <= 316) { + p->m = 385; + p->t = 22; + mpz_set_str(p->n, "140884762419712839999909157778648717913595360839856026704744558309545986970238264714753014287541", 10); + mpz_set_str(p->n2, "34899486997246711147841377458771182755186809219564106252058066150110543296498189654810187", 10); + } else if (group_size <= 376) { + p->m = 337; + p->t = 30; + mpz_set_str(p->n, "250796519030408069744426774377542635685621984993105288007781750196791322190409525696108840742205849171229571431053", 10); + mpz_set_str(p->n2, "245777055088325363697128811262733732423405120899", 10); + } else if (group_size <= 430) { + p->m = 373; + p->t = 198; + mpz_set_str(p->n, "2840685307599487500956683789051368080919805957805957356540760731597378326586402072132959867084691357708217739285576524329854284197", 10); + mpz_set_str(p->n2, "3256903458766749542151641063558247849550904613763", 10); + } else if (group_size <= 484) { + p->m = 395; + p->t = 338; + mpz_set_str(p->n, "80172097064154181257340545445945701478615643539554910656655431171167598268341527430200810544156625333601812351266052856520678455274751591367269291", 10); + mpz_set_str(p->n2, "3621365590261279902324876775553649595261567", 10); + } else if (group_size <= 552) { + p->m = 433; + p->t = 120; + mpz_set_str(p->n, "15699907553631673835088720676147779193076555382157913339177784853763686462870506492752576492212322736133645158157557950634628006965882177348385366381692092784577773463", 10); + mpz_set_str(p->n2, "24980791723059119877470531054938874784049", 10); + } else if (group_size <= 644) { + p->m = 467; + p->t = 48; + mpz_set_str(p->n, "108220469499363631995525712756135494735252733492048868417164002000654321383482753640072319529019505742300964525569770933946381504691909098938045089999753901375631613294579329433690943459352138231", 10); + mpz_set_str(p->n2, "60438898450096967424971813347", 10); + } else if (group_size <= 696) { + p->m = 503; + p->t = 104; + mpz_set_str(p->n, "545523657676112447260904563578912738373307867219686215849632469801471112426878939776725222290437653718473962733760874627315930933126581248465899651120481066111839081575164964589811985885719017214938514563804313", 10); + mpz_set_str(p->n2, "1799606423432800810122901025413", 10); + } else if (group_size <= 803) { + p->m = 509; + p->t = 358; + mpz_set_str(p->n, "102239946202586852409809887418093021457150612495255706614733003327526279081563687830782748305746187060264985869283524441819589592750998086186315250781067131293823177124077445718802216415539934838376431091001197641295264650596195201747790167311", 10); + mpz_set_str(p->n2, "7", 10); + } else if (group_size <= 892) { + p->m = 617; + p->t = 88; + mpz_set_str(p->n, "57591959284219511220590893724691916802833742568034971006633345422620650391172287893878655658086794200963521584019889327992536532560877385225451713282279597074750857647455565899702728629166541223955196002755787520206774906606158388947359746178875040401304783332742806641", 10); + mpz_set_str(p->n2, "42019638181715250622338241", 10); + } else + pbc_die("unsupported group size"); +} + diff --git a/moon-abe/pbc-0.5.14/ecc/f_param.c b/moon-abe/pbc-0.5.14/ecc/f_param.c new file mode 100644 index 00000000..2477ace1 --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/f_param.c @@ -0,0 +1,599 @@ +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_fp.h" +#include "pbc_fieldquadratic.h" +#include "pbc_param.h" +#include "pbc_pairing.h" +#include "pbc_poly.h" +#include "pbc_curve.h" +#include "pbc_memory.h" +#include "pbc_f_param.h" +#include "ecc/param.h" + +struct f_param_s { + mpz_t q; // Curve defined over F_q. + mpz_t r; // The order of the curve. + mpz_t b; // E: y^2 = x^3 + b + mpz_t beta; //beta is a quadratic nonresidue in Fq + //we use F_q^2 = F_q[sqrt(beta)] + mpz_t alpha0, alpha1; + //the polynomial x^6 + alpha0 + alpha1 sqrt(beta) + //is irreducible over F_q^2[x], so + //we can extend F_q^2 to F_q^12 using the + //sixth root of -(alpha0 + alpha1 sqrt(beta)) +}; +typedef struct f_param_s f_param_t[1]; +typedef struct f_param_s *f_param_ptr; + +// TODO: we never use phikonr so don't bother computing it, +// but one day other routines might need it +struct f_pairing_data_s { + field_t Fq, Fq2, Fq2x, Fq12; + field_t Eq, Etwist; + element_t negalpha; + element_t negalphainv; + mpz_t tateexp; + + //for tate exponentiation speedup: + //x^{q^k} for various k + element_t xpowq2, xpowq6, xpowq8; +}; +typedef struct f_pairing_data_s f_pairing_data_t[1]; +typedef struct f_pairing_data_s *f_pairing_data_ptr; + +static void f_clear(void *data) { + f_param_ptr fp = data; + mpz_clear(fp->q); + mpz_clear(fp->r); + mpz_clear(fp->b); + mpz_clear(fp->beta); + mpz_clear(fp->alpha0); + mpz_clear(fp->alpha1); + pbc_free(data); +} + +static void f_out_str(FILE *stream, void *data) { + f_param_ptr p = data; + param_out_type(stream, "f"); + param_out_mpz(stream, "q", p->q); + param_out_mpz(stream, "r", p->r); + param_out_mpz(stream, "b", p->b); + param_out_mpz(stream, "beta", p->beta); + param_out_mpz(stream, "alpha0", p->alpha0); + param_out_mpz(stream, "alpha1", p->alpha1); +} + +static void tryminusx(mpz_ptr q, mpz_ptr x) { + //36x4 - 36x3 + 24x2 - 6x + 1 + //= ((36(x - 1)x + 24)x - 6)x + 1 + mpz_sub_ui(q, x, 1); + mpz_mul(q, q, x); + mpz_mul_ui(q, q, 36); + mpz_add_ui(q, q, 24); + mpz_mul(q, q, x); + mpz_sub_ui(q, q, 6); + mpz_mul(q, q, x); + mpz_add_ui(q, q, 1); +} + +static void tryplusx(mpz_ptr q, mpz_ptr x) { + //36x4 + 36x3 + 24x2 + 6x + 1 + //= ((36(x + 1)x + 24)x + 6)x + 1 + mpz_add_ui(q, x, 1); + mpz_mul(q, q, x); + mpz_mul_ui(q, q, 36); + mpz_add_ui(q, q, 24); + mpz_mul(q, q, x); + mpz_add_ui(q, q, 6); + mpz_mul(q, q, x); + mpz_add_ui(q, q, 1); +} + +static void cc_miller_no_denom(element_t res, mpz_t q, element_t P, + element_ptr Qx, element_ptr Qy, element_t negalpha) { + int m; + element_t v; + element_t Z; + element_t a, b, c; + element_t t0; + element_t e0, e1; + element_ptr Zx, Zy; + const element_ptr Px = curve_x_coord(P); + const element_ptr Py = curve_y_coord(P); + + #define do_term(i, j, k, flag) { \ + element_ptr e2; \ + e2 = element_item(e0, i); \ + element_mul(e1, element_item(v, j), Qx); \ + if (flag == 1) element_mul(e1, e1, negalpha); \ + element_mul(element_x(e1), element_x(e1), a); \ + element_mul(element_y(e1), element_y(e1), a); \ + element_mul(e2, element_item(v, k), Qy); \ + element_mul(element_x(e2), element_x(e2), b); \ + element_mul(element_y(e2), element_y(e2), b); \ + element_add(e2, e2, e1); \ + if (flag == 2) element_mul(e2, e2, negalpha); \ + element_mul(element_x(e1), element_x(element_item(v, i)), c); \ + element_mul(element_y(e1), element_y(element_item(v, i)), c); \ + element_add(e2, e2, e1); \ + } + + // a, b, c lie in Fq + // Qx, Qy lie in Fq^2 + // Qx is coefficient of x^4 + // Qy is coefficient of x^3 + // + // computes v *= (a Qx x^4 + b Qy x^3 + c) + // + // recall x^6 = -alpha thus + // x^4 (u0 + u1 x^1 + ... + u5 x^5) = + // u0 x^4 + u1 x^5 + // - alpha u2 - alpha u3 x - alpha u4 x^2 - alpha u5 x^3 + // and + // x^4 (u0 + u1 x^1 + ... + u5 x^5) = + // u0 x^3 + u1 x^4 + u2 x^5 + // - alpha u3 - alpha u4 x - alpha u5 x^2 + #define f_miller_evalfn() { \ + do_term(0, 2, 3, 2); \ + do_term(1, 3, 4, 2); \ + do_term(2, 4, 5, 2); \ + do_term(3, 5, 0, 1); \ + do_term(4, 0, 1, 0); \ + do_term(5, 1, 2, 0); \ + element_set(v, e0); \ + } + /* + element_ptr e1; + + e1 = element_item(e0, 4); + + element_mul(element_x(e1), element_x(Qx), a); + element_mul(element_y(e1), element_y(Qx), a); + + e1 = element_item(e0, 3); + + element_mul(element_x(e1), element_x(Qy), b); + element_mul(element_y(e1), element_y(Qy), b); + + element_set(element_x(element_item(e0, 0)), c); + + element_mul(v, v, e0); + */ + + //a = -3 Zx^2 since cc->a is 0 for D = 3 + //b = 2 * Zy + //c = -(2 Zy^2 + a Zx); + #define do_tangent() { \ + element_square(a, Zx); \ + element_mul_si(a, a, 3); \ + element_neg(a, a); \ + \ + element_add(b, Zy, Zy); \ + \ + element_mul(t0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + f_miller_evalfn(); \ + } + + //a = -(B.y - A.y) / (B.x - A.x); + //b = 1; + //c = -(A.y + a * A.x); + //but we'll multiply by B.x - A.x to avoid division + #define do_line() { \ + element_sub(b, Px, Zx); \ + element_sub(a, Zy, Py); \ + element_mul(t0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + f_miller_evalfn(); \ + } + + element_init(a, Px->field); + element_init(b, a->field); + element_init(c, a->field); + element_init(t0, a->field); + element_init(e0, res->field); + element_init(e1, Qx->field); + + element_init(v, res->field); + element_init(Z, P->field); + + element_set(Z, P); + Zx = curve_x_coord(Z); + Zy = curve_y_coord(Z); + + element_set1(v); + m = mpz_sizeinbase(q, 2) - 2; + + //TODO: sliding NAF + for(;;) { + do_tangent(); + + if (!m) break; + + element_double(Z, Z); + if (mpz_tstbit(q, m)) { + do_line(); + element_add(Z, Z, P); + } + m--; + element_square(v, v); + } + + element_set(res, v); + + element_clear(v); + element_clear(Z); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(t0); + element_clear(e0); + element_clear(e1); + #undef do_term + #undef f_miller_evalfn + #undef do_tangent + #undef do_line +} + +static void f_tateexp(element_t out) { + element_t x, y, epow; + f_pairing_data_ptr p = out->field->pairing->data; + element_init(x, p->Fq12); + element_init(y, p->Fq12); + element_init(epow, p->Fq2); + + #define qpower(e1, e) { \ + element_set(element_item(e1, 0), element_item(out, 0)); \ + element_mul(element_item(e1, 1), element_item(out, 1), e); \ + element_square(epow, e); \ + element_mul(element_item(e1, 2), element_item(out, 2), epow); \ + element_mul(epow, epow, e); \ + element_mul(element_item(e1, 3), element_item(out, 3), epow); \ + element_mul(epow, epow, e); \ + element_mul(element_item(e1, 4), element_item(out, 4), epow); \ + element_mul(epow, epow, e); \ + element_mul(element_item(e1, 5), element_item(out, 5), epow); \ + } + + qpower(y, p->xpowq8); + qpower(x, p->xpowq6); + element_mul(y, y, x); + qpower(x, p->xpowq2); + element_mul(x, x, out); + element_invert(x, x); + element_mul(out, y, x); + + element_clear(epow); + element_clear(x); + element_clear(y); + element_pow_mpz(out, out, p->tateexp); + #undef qpower +} + +static void f_finalpow(element_t out) { + f_tateexp(out->data); +} + +static void f_pairing(element_ptr out, element_ptr in1, element_ptr in2, + pairing_t pairing) { + element_ptr Qbase = in2; + element_t x, y; + f_pairing_data_ptr p = pairing->data; + + element_init(x, p->Fq2); + element_init(y, p->Fq2); + //map from twist: (x, y) --> (v^-2 x, v^-3 y) + //where v is the sixth root used to construct the twist + //i.e. v^6 = -alpha + //thus v^-2 = -alpha^-1 v^4 + //and v^-3 = -alpha^-1 v^3 + element_mul(x, curve_x_coord(Qbase), p->negalphainv); + element_mul(y, curve_y_coord(Qbase), p->negalphainv); + + cc_miller_no_denom(out, pairing->r, in1, x, y, p->negalpha); + + element_clear(x); + element_clear(y); + + f_tateexp(out); +} + +static void f_pairing_clear(pairing_t pairing) { + field_clear(pairing->GT); + f_pairing_data_ptr p = pairing->data; + element_clear(p->negalpha); + element_clear(p->negalphainv); + mpz_clear(p->tateexp); + element_clear(p->xpowq2); + element_clear(p->xpowq6); + element_clear(p->xpowq8); + field_clear(p->Etwist); + field_clear(p->Eq); + + field_clear(p->Fq12); + field_clear(p->Fq2x); + field_clear(p->Fq2); + field_clear(p->Fq); + pbc_free(p); + + mpz_clear(pairing->r); + field_clear(pairing->Zr); +} + +static void f_init_pairing(pairing_t pairing, void *data) { + f_param_ptr param = data; + f_pairing_data_ptr p; + element_t irred; + element_t e0, e1, e2; + p = pairing->data = pbc_malloc(sizeof(f_pairing_data_t)); + mpz_init(pairing->r); + mpz_set(pairing->r, param->r); + field_init_fp(pairing->Zr, pairing->r); + field_init_fp(p->Fq, param->q); + p->Fq->nqr = pbc_malloc(sizeof(element_t)); + element_init(p->Fq->nqr, p->Fq); + element_set_mpz(p->Fq->nqr, param->beta); + field_init_quadratic(p->Fq2, p->Fq); + field_init_poly(p->Fq2x, p->Fq2); + element_init(irred, p->Fq2x); + // Call poly_set_coeff1() first so we can use element_item() for the other + // coefficients. + poly_set_coeff1(irred, 6); + + element_init(p->negalpha, p->Fq2); + element_init(p->negalphainv, p->Fq2); + element_set_mpz(element_x(p->negalpha), param->alpha0); + element_set_mpz(element_y(p->negalpha), param->alpha1); + + element_set(element_item(irred, 0), p->negalpha); + field_init_polymod(p->Fq12, irred); + element_neg(p->negalpha, p->negalpha); + element_invert(p->negalphainv, p->negalpha); + element_clear(irred); + + element_init(e0, p->Fq); + element_init(e1, p->Fq); + element_init(e2, p->Fq2); + + // Initialize the curve Y^2 = X^3 + b. + element_set_mpz(e1, param->b); + field_init_curve_ab(p->Eq, e0, e1, pairing->r, NULL); + + // Initialize the curve Y^2 = X^3 - alpha0 b - alpha1 sqrt(beta) b. + element_set_mpz(e0, param->alpha0); + element_neg(e0, e0); + element_mul(element_x(e2), e0, e1); + element_set_mpz(e0, param->alpha1); + element_neg(e0, e0); + element_mul(element_y(e2), e0, e1); + element_clear(e0); + element_init(e0, p->Fq2); + field_init_curve_ab(p->Etwist, e0, e2, pairing->r, NULL); + element_clear(e0); + element_clear(e1); + element_clear(e2); + + mpz_t ndonr; + mpz_init(ndonr); + // ndonr temporarily holds the trace. + mpz_sub(ndonr, param->q, param->r); + mpz_add_ui(ndonr, ndonr, 1); + // TODO: We can use a smaller quotient_cmp, but I have to figure out + // BN curves again. + pbc_mpz_curve_order_extn(ndonr, param->q, ndonr, 12); + mpz_divexact(ndonr, ndonr, param->r); + mpz_divexact(ndonr, ndonr, param->r); + field_curve_set_quotient_cmp(p->Etwist, ndonr); + mpz_clear(ndonr); + + pairing->G1 = p->Eq; + pairing->G2 = p->Etwist; + pairing_GT_init(pairing, p->Fq12); + pairing->finalpow = f_finalpow; + pairing->map = f_pairing; + pairing->clear_func = f_pairing_clear; + + mpz_init(p->tateexp); + /* unoptimized tate exponent + mpz_pow_ui(p->tateexp, param->q, 12); + mpz_sub_ui(p->tateexp, p->tateexp, 1); + mpz_divexact(p->tateexp, p->tateexp, param->r); + */ + mpz_ptr z = p->tateexp; + mpz_mul(z, param->q, param->q); + mpz_sub_ui(z, z, 1); + mpz_mul(z, z, param->q); + mpz_mul(z, z, param->q); + mpz_add_ui(z, z, 1); + mpz_divexact(z, z, param->r); + + element_init(p->xpowq2, p->Fq2); + element_init(p->xpowq6, p->Fq2); + element_init(p->xpowq8, p->Fq2); + element_t xpowq; + element_init(xpowq, p->Fq12); + + //there are smarter ways since we know q = 1 mod 6 + //and that x^6 = -alpha + //but this is fast enough + element_set1(element_item(xpowq, 1)); + element_pow_mpz(xpowq, xpowq, param->q); + element_pow_mpz(xpowq, xpowq, param->q); + element_set(p->xpowq2, element_item(xpowq, 1)); + + element_pow_mpz(xpowq, xpowq, param->q); + element_pow_mpz(xpowq, xpowq, param->q); + element_pow_mpz(xpowq, xpowq, param->q); + element_pow_mpz(xpowq, xpowq, param->q); + element_set(p->xpowq6, element_item(xpowq, 1)); + + element_pow_mpz(xpowq, xpowq, param->q); + element_pow_mpz(xpowq, xpowq, param->q); + element_set(p->xpowq8, element_item(xpowq, 1)); + + element_clear(xpowq); +} + +static void f_init(pbc_param_ptr p) { + static pbc_param_interface_t interface = {{ + f_clear, + f_init_pairing, + f_out_str, + }}; + p->api = interface; + f_param_ptr fp = p->data = pbc_malloc(sizeof(*fp)); + mpz_init(fp->q); + mpz_init(fp->r); + mpz_init(fp->b); + mpz_init(fp->beta); + mpz_init(fp->alpha0); + mpz_init(fp->alpha1); +} + +// Public interface: + +int pbc_param_init_f(pbc_param_ptr par, struct symtab_s *tab) { + f_init(par); + f_param_ptr p = par->data; + + int err = 0; + err += lookup_mpz(p->q, tab, "q"); + err += lookup_mpz(p->r, tab, "r"); + err += lookup_mpz(p->b, tab, "b"); + err += lookup_mpz(p->beta, tab, "beta"); + err += lookup_mpz(p->alpha0, tab, "alpha0"); + err += lookup_mpz(p->alpha1, tab, "alpha1"); + return err; +} + +void pbc_param_init_f_gen(pbc_param_t p, int bits) { + f_init(p); + f_param_ptr fp = p->data; + //36 is a 6-bit number + int xbit = (bits - 6) / 4; + //TODO: use binary search to find smallest appropriate x + mpz_t x, t; + mpz_ptr q = fp->q; + mpz_ptr r = fp->r; + mpz_ptr b = fp->b; + field_t Fq, Fq2, Fq2x; + element_t e1; + element_t f; + field_t c; + element_t P; + + mpz_init(x); + mpz_init(t); + mpz_setbit(x, xbit); + for (;;) { + mpz_mul(t, x, x); + mpz_mul_ui(t, t, 6); + mpz_add_ui(t, t, 1); + tryminusx(q, x); + mpz_sub(r, q, t); + mpz_add_ui(r, r, 1); + if (mpz_probab_prime_p(q, 10) && mpz_probab_prime_p(r, 10)) break; + + tryplusx(q, x); + mpz_sub(r, q, t); + mpz_add_ui(r, r, 1); + if (mpz_probab_prime_p(q, 10) && mpz_probab_prime_p(r, 10)) break; + + mpz_add_ui(x, x, 1); + } + + field_init_fp(Fq, q); + element_init(e1, Fq); + + for (;;) { + element_random(e1); + field_init_curve_b(c, e1, r, NULL); + element_init(P, c); + + element_random(P); + + element_mul_mpz(P, P, r); + if (element_is0(P)) break; + element_clear(P); + field_clear(c); + } + element_to_mpz(b, e1); + element_clear(e1); + field_init_quadratic(Fq2, Fq); + element_to_mpz(fp->beta, field_get_nqr(Fq)); + field_init_poly(Fq2x, Fq2); + element_init(f, Fq2x); + + // Find an irreducible polynomial of the form f = x^6 + alpha. + // Call poly_set_coeff1() first so we can use element_item() for the other + // coefficients. + poly_set_coeff1(f, 6); + for (;;) { + element_random(element_item(f, 0)); + if (poly_is_irred(f)) break; + } + + //extend F_q^2 using f = x^6 + alpha + //see if sextic twist contains a subgroup of order r + //if not, it's the wrong twist: replace alpha with alpha^5 + { + field_t ctest; + element_t Ptest; + mpz_t z0, z1; + mpz_init(z0); + mpz_init(z1); + element_init(e1, Fq2); + element_set_mpz(e1, fp->b); + element_mul(e1, e1, element_item(f, 0)); + element_neg(e1, e1); + + field_init_curve_b(ctest, e1, r, NULL); + element_init(Ptest, ctest); + element_random(Ptest); + + //I'm not sure what the #E'(F_q^2) is, but + //it definitely divides n_12 = #E(F_q^12). It contains a + //subgroup of order r if and only if + //(n_12 / r^2)P != O for some (in fact most) P in E'(F_q^6) + mpz_pow_ui(z0, q, 12); + mpz_add_ui(z0, z0, 1); + pbc_mpz_trace_n(z1, q, t, 12); + mpz_sub(z1, z0, z1); + mpz_mul(z0, r, r); + mpz_divexact(z1, z1, z0); + + element_mul_mpz(Ptest, Ptest, z1); + if (element_is0(Ptest)) { + mpz_set_ui(z0, 5); + element_pow_mpz(element_item(f, 0), element_item(f, 0), z0); + } + element_clear(e1); + element_clear(Ptest); + field_clear(ctest); + mpz_clear(z0); + mpz_clear(z1); + } + + element_to_mpz(fp->alpha0, element_x(element_item(f, 0))); + element_to_mpz(fp->alpha1, element_y(element_item(f, 0))); + + element_clear(f); + + field_clear(Fq2x); + field_clear(Fq2); + field_clear(Fq); + + mpz_clear(t); + mpz_clear(x); +} diff --git a/moon-abe/pbc-0.5.14/ecc/g_param.c b/moon-abe/pbc-0.5.14/ecc/g_param.c new file mode 100644 index 00000000..75a08c57 --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/g_param.c @@ -0,0 +1,1435 @@ +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <string.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_poly.h" +#include "pbc_hilbert.h" +#include "pbc_fp.h" +#include "pbc_fieldquadratic.h" +#include "pbc_mnt.h" +#include "pbc_curve.h" +#include "pbc_param.h" +#include "pbc_pairing.h" +#include "pbc_memory.h" +#include "pbc_g_param.h" +#include "ecc/param.h" + +struct g_param_s { + mpz_t q; // Curve defined over F_q. + mpz_t n; // n = #E(F_q) (= q - t + 1) + mpz_t h; // h * r = n, r is prime + mpz_t r; + mpz_t a, b; // E: y^2 = x^3 + ax + b + + // k = 10 for these curves. + mpz_t nk; // #E(F_q^k) + mpz_t hk; // hk * r^2 = nk + mpz_t *coeff; //Coefficients of polynomial used to extend F_q by k/2 + mpz_t nqr; // Quadratic nonresidue in F_q^d that lies in F_q. +}; + +typedef struct g_param_s g_param_t[1]; +typedef struct g_param_s *g_param_ptr; + +struct mnt_pairing_data_s { + field_t Fq, Fqx, Fqd, Fqk; + field_t Eq, Etwist; + element_t nqrinv, nqrinv2; + element_t xpowq, xpowq2, xpowq3, xpowq4; +}; +typedef struct mnt_pairing_data_s mnt_pairing_data_t[1]; +typedef struct mnt_pairing_data_s *mnt_pairing_data_ptr; + +static void g_clear(void *data) { + g_param_ptr param = data; + int i; + mpz_clear(param->q); + mpz_clear(param->n); + mpz_clear(param->h); + mpz_clear(param->r); + mpz_clear(param->a); + mpz_clear(param->b); + mpz_clear(param->nk); + mpz_clear(param->hk); + mpz_clear(param->nqr); + for (i = 0; i < 5; i++) { + mpz_clear(param->coeff[i]); + } + pbc_free(param->coeff); + pbc_free(data); +} + +static void g_out_str(FILE *stream, void *data) { + g_param_ptr p = data; + int i; + char s[8]; + param_out_type(stream, "g"); + param_out_mpz(stream, "q", p->q); + param_out_mpz(stream, "n", p->n); + param_out_mpz(stream, "h", p->h); + param_out_mpz(stream, "r", p->r); + param_out_mpz(stream, "a", p->a); + param_out_mpz(stream, "b", p->b); + param_out_mpz(stream, "nk", p->nk); + param_out_mpz(stream, "hk", p->hk); + for (i=0; i<5; i++) { + sprintf(s, "coeff%d", i); + param_out_mpz(stream, s, p->coeff[i]); + } + param_out_mpz(stream, "nqr", p->nqr); +} + +static inline void d_miller_evalfn(element_t e0, + element_t a, element_t b, element_t c, + element_t Qx, element_t Qy) { + //a, b, c are in Fq + //point Q is (Qx, Qy * sqrt(nqr)) where nqr is used to construct + //the quadratic field extension Fqk of Fqd + element_ptr re_out = element_x(e0); + element_ptr im_out = element_y(e0); + + int i; + int d = polymod_field_degree(re_out->field); + for (i=0; i<d; i++) { + element_mul(element_item(re_out, i), element_item(Qx, i), a); + element_mul(element_item(im_out, i), element_item(Qy, i), b); + } + element_add(element_item(re_out, 0), element_item(re_out, 0), c); +} + +static void cc_miller_no_denom_proj(element_t res, mpz_t q, element_t P, + element_ptr Qx, element_ptr Qy) { + int m; + element_t v; + element_t Z; + element_t a, b, c; + element_t t0, t1; + element_ptr t2 = a, t3 = b, t4 = c; + element_t e0; + element_t z, z2; + element_ptr Zx, Zy; + const element_ptr curve_a = curve_a_coeff(P); + const element_ptr Px = curve_x_coord(P); + const element_ptr Py = curve_y_coord(P); + + #define proj_double() { \ + /* t0 = 3x^2 + (curve_a) z^4 */ \ + element_square(t0, Zx); \ + /* element_mul_si(t0, t0, 3); */ \ + element_double(t1, t0); \ + element_add(t0, t0, t1); \ + element_square(t1, z2); \ + element_mul(t1, t1, curve_a); \ + element_add(t0, t0, t1); \ + \ + /* z_out = 2 y z */ \ + element_mul(z, Zy, z); \ + /* element_mul_si(z, z, 2); */ \ + element_double(z, z); \ + element_square(z2, z); \ + \ + /* t1 = 4 x y^2 */ \ + element_square(t2, Zy); \ + element_mul(t1, Zx, t2); \ + /* element_mul_si(t1, t1, 4); */ \ + element_double(t1, t1); \ + element_double(t1, t1); \ + \ + /* x_out = t0^2 - 2 t1 */ \ + /* element_mul_si(t3, t1, 2); */ \ + element_double(t3, t1); \ + element_square(Zx, t0); \ + element_sub(Zx, Zx, t3); \ + \ + /* t2 = 8y^4 */ \ + element_square(t2, t2); \ + /* element_mul_si(t2, t2, 8); */ \ + element_double(t2, t2); \ + element_double(t2, t2); \ + element_double(t2, t2); \ + \ + /* y_out = t0(t1 - x_out) - t2 */ \ + element_sub(t1, t1, Zx); \ + element_mul(t0, t0, t1); \ + element_sub(Zy, t0, t2); \ + } + + #define proj_mixin() { \ + /* t2 = Px z^2 */ \ + element_mul(t2, z2, Px); \ + \ + /* t3 = Zx - t2 */ \ + element_sub(t3, Zx, t2); \ + \ + /* t0 = Py z^3 */ \ + element_mul(t0, z2, Py); \ + element_mul(t0, t0, z); \ + \ + /* t1 = Zy - t0 */ \ + element_sub(t1, Zy, t0); \ + \ + /* e7 = Zx + t2, use t2 to double for e7 */ \ + element_add(t2, Zx, t2); \ + \ + /* e8 = Zy + t0, use t0 to double for e8 */ \ + element_add(t0, Zy, t0); \ + \ + /* z = z t3 */ \ + element_mul(z, z, t3); \ + element_square(z2, z); \ + \ + /* Zx = t1^2 - e7 t3^2 */ \ + /* t3 now holds t3^3, */ \ + /* t4 holds e7 t3^2 */ \ + element_square(t4, t3); \ + element_mul(t3, t4, t3); \ + element_square(Zx, t1); \ + element_mul(t4, t2, t4); \ + element_sub(Zx, Zx, t4); \ + \ + /* t4 = e7 t3^2 - 2 Zx */ \ + element_sub(t4, t4, Zx); \ + element_sub(t4, t4, Zx); \ + \ + /* Zy = (t4 t1 - e8 t3^3)/2 */ \ + element_mul(t4, t4, t1); \ + element_mul(t0, t0, t3); \ + element_sub(t4, t4, t0); \ + element_halve(Zy, t4); \ + } + + #define do_tangent() { \ + /* a = -(3x^2 + cca z^4) */ \ + /* b = 2 y z^3 */ \ + /* c = -(2 y^2 + x a) */ \ + /* a = z^2 a */ \ + element_square(a, z2); \ + element_mul(a, a, curve_a); \ + element_square(b, Zx); \ + /* element_mul_si(b, b, 3); */ \ + element_double(t0, b); \ + element_add(b, b, t0); \ + element_add(a, a, b); \ + element_neg(a, a); \ + \ + element_mul(b, z, z2); \ + element_mul(b, b, Zy); \ + element_mul_si(b, b, 2); \ + \ + element_mul(c, Zx, a); \ + element_mul(a, a, z2); \ + element_square(t0, Zy); \ + element_mul_si(t0, t0, 2); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + d_miller_evalfn(e0, a, b, c, Qx, Qy); \ + element_mul(v, v, e0); \ + } + + #define do_line() { \ + /* a = -(Py z^3 - Zy) */ \ + /* b = Px z^3 - Zx z */ \ + /* c = Zx z Py - Zy Px; */ \ + \ + element_mul(t0, Zx, z); \ + element_mul(t1, z2, z); \ + \ + element_mul(a, Py, t1); \ + element_sub(a, Zy, a); \ + \ + element_mul(b, Px, t1); \ + element_sub(b, b, t0); \ + \ + element_mul(t0, t0, Py); \ + element_mul(c, Zy, Px); \ + element_sub(c, t0, c); \ + \ + d_miller_evalfn(e0, a, b, c, Qx, Qy); \ + element_mul(v, v, e0); \ + } + + element_init(a, Px->field); + element_init(b, a->field); + element_init(c, a->field); + element_init(t0, a->field); + element_init(t1, a->field); + element_init(e0, res->field); + element_init(z, a->field); + element_init(z2, a->field); + element_set1(z); + element_set1(z2); + + element_init(v, res->field); + element_init(Z, P->field); + + element_set(Z, P); + Zx = curve_x_coord(Z); + Zy = curve_x_coord(Z); + + element_set1(v); + m = mpz_sizeinbase(q, 2) - 2; + + for(;;) { + do_tangent(); + if (!m) break; + proj_double(); + if (mpz_tstbit(q, m)) { + do_line(); + proj_mixin(); + } + m--; + element_square(v, v); + } + + element_set(res, v); + + element_clear(v); + element_clear(Z); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(t0); + element_clear(t1); + element_clear(e0); + element_clear(z); + element_clear(z2); + #undef proj_double + #undef proj_mixin + #undef do_tangent + #undef do_line +} + +static void cc_miller_no_denom_affine(element_t res, mpz_t q, element_t P, + element_ptr Qx, element_ptr Qy) { + int m; + element_t v; + element_t Z; + element_t a, b, c; + element_t t0; + element_t e0; + const element_ptr cca = curve_a_coeff(P); + const element_ptr Px = curve_x_coord(P); + const element_ptr Py = curve_y_coord(P); + element_ptr Zx, Zy; + + /* TODO: when exactly is this not needed? + void do_vertical(void) + { + mapbase(e0, Z->x); + element_sub(e0, Qx, e0); + element_mul(v, v, e0); + } + */ + + #define do_tangent() { \ + /* a = -(3 Zx^2 + cc->a) */ \ + /* b = 2 * Zy */ \ + /* c = -(2 Zy^2 + a Zx); */ \ + element_square(a, Zx); \ + element_mul_si(a, a, 3); \ + element_add(a, a, cca); \ + element_neg(a, a); \ + \ + element_add(b, Zy, Zy); \ + \ + element_mul(t0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + d_miller_evalfn(e0, a, b, c, Qx, Qy); \ + element_mul(v, v, e0); \ + } + + #define do_line() { \ + /* a = -(B.y - A.y) / (B.x - A.x); */ \ + /* b = 1; */ \ + /* c = -(A.y + a * A.x); */ \ + /* but we'll multiply by B.x - A.x */ \ + /* to avoid division */ \ + \ + element_sub(b, Px, Zx); \ + element_sub(a, Zy, Py); \ + element_mul(t0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + d_miller_evalfn(e0, a, b, c, Qx, Qy); \ + element_mul(v, v, e0); \ + } + + element_init(a, Px->field); + element_init(b, a->field); + element_init(c, a->field); + element_init(t0, a->field); + element_init(e0, res->field); + + element_init(v, res->field); + element_init(Z, P->field); + + element_set(Z, P); + Zx = curve_x_coord(Z); + Zy = curve_y_coord(Z); + + element_set1(v); + m = mpz_sizeinbase(q, 2) - 2; + + for(;;) { + do_tangent(); + if (!m) break; + element_double(Z, Z); + if (mpz_tstbit(q, m)) { + do_line(); + element_add(Z, Z, P); + } + m--; + element_square(v, v); + } + + element_set(res, v); + + element_clear(v); + element_clear(Z); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(t0); + element_clear(e0); + #undef do_tangent + #undef do_line +} + +// Requires cofactor is even. +// Requires in != out. +// Mangles in. +static void lucas_even(element_ptr out, element_ptr in, mpz_t cofactor) { + element_t temp; + element_init_same_as(temp, out); + element_ptr in0 = element_x(in); + element_ptr in1 = element_y(in); + element_ptr v0 = element_x(out); + element_ptr v1 = element_y(out); + element_ptr t0 = element_x(temp); + element_ptr t1 = element_y(temp); + int j; + + element_set_si(t0, 2); + element_double(t1, in0); + + element_set(v0, t0); + element_set(v1, t1); + + j = mpz_sizeinbase(cofactor, 2) - 1; + for (;;) { + if (!j) { + element_mul(v1, v0, v1); + element_sub(v1, v1, t1); + element_square(v0, v0); + element_sub(v0, v0, t0); + break; + } + if (mpz_tstbit(cofactor, j)) { + element_mul(v0, v0, v1); + element_sub(v0, v0, t1); + element_square(v1, v1); + element_sub(v1, v1, t0); + } else { + element_mul(v1, v0, v1); + element_sub(v1, v1, t1); + element_square(v0, v0); + element_sub(v0, v0, t0); + } + j--; + } + + //assume cofactor = (q^2 - q + 1) / r is odd + //thus v1 = V_k, v0 = V_{k-1} + // U = (P v1 - 2 v0) / (P^2 - 4) + + element_double(v0, v0); + element_mul(in0, t1, v1); + element_sub(in0, in0, v0); + + element_square(t1, t1); + element_sub(t1, t1, t0); + element_sub(t1, t1, t0); + + element_halve(v0, v1); + element_div(v1, in0, t1); + element_mul(v1, v1, in1); + element_clear(temp); +} + +static void tatepower10(element_ptr out, element_ptr in, pairing_t pairing) { + mnt_pairing_data_ptr p = pairing->data; + element_t e0, e1, e2, e3; + element_init(e0, p->Fqk); + element_init(e1, p->Fqd); + element_init(e2, p->Fqd); + element_init(e3, p->Fqk); + element_ptr e0re = element_x(e0); + element_ptr e0im = element_y(e0); + element_ptr e0re0 = ((element_t *) e0re->data)[0]; + element_ptr e0im0 = ((element_t *) e0im->data)[0]; + element_t *inre = element_x(in)->data; + element_t *inim = element_y(in)->data; + //see thesis + #define qpower(sign) { \ + polymod_const_mul(e2, inre[1], p->xpowq); \ + element_set(e0re, e2); \ + polymod_const_mul(e2, inre[2], p->xpowq2); \ + element_add(e0re, e0re, e2); \ + polymod_const_mul(e2, inre[3], p->xpowq3); \ + element_add(e0re, e0re, e2); \ + polymod_const_mul(e2, inre[4], p->xpowq4); \ + element_add(e0re, e0re, e2); \ + element_add(e0re0, e0re0, inre[0]); \ + \ + if (sign > 0) { \ + polymod_const_mul(e2, inim[1], p->xpowq); \ + element_set(e0im, e2); \ + polymod_const_mul(e2, inim[2], p->xpowq2); \ + element_add(e0im, e0im, e2); \ + polymod_const_mul(e2, inim[3], p->xpowq3); \ + element_add(e0im, e0im, e2); \ + polymod_const_mul(e2, inim[4], p->xpowq4); \ + element_add(e0im, e0im, e2); \ + element_add(e0im0, e0im0, inim[0]); \ + } else { \ + polymod_const_mul(e2, inim[1], p->xpowq); \ + element_neg(e0im, e2); \ + polymod_const_mul(e2, inim[2], p->xpowq2); \ + element_sub(e0im, e0im, e2); \ + polymod_const_mul(e2, inim[3], p->xpowq3); \ + element_sub(e0im, e0im, e2); \ + polymod_const_mul(e2, inim[4], p->xpowq4); \ + element_sub(e0im, e0im, e2); \ + element_sub(e0im0, e0im0, inim[0]); \ + } \ + } + qpower(1); + element_set(e3, e0); + element_set(e0re, element_x(in)); + element_neg(e0im, element_y(in)); + element_mul(e3, e3, e0); + qpower(-1); + element_mul(e0, e0, in); + element_invert(e0, e0); + element_mul(in, e3, e0); + + element_set(e0, in); + lucas_even(out, e0, pairing->phikonr); + + element_clear(e0); + element_clear(e1); + element_clear(e2); + element_clear(e3); + #undef qpower +} + +static void (*cc_miller_no_denom_fn)(element_t res, mpz_t q, element_t P, + element_ptr Qx, element_ptr Qy); + +static void cc_pairing(element_ptr out, element_ptr in1, element_ptr in2, + pairing_t pairing) { + element_ptr Qbase = in2; + element_t Qx, Qy; + mnt_pairing_data_ptr p = pairing->data; + + element_init(Qx, p->Fqd); + element_init(Qy, p->Fqd); + //map from twist: (x, y) --> (v^-1 x, v^-(3/2) y) + //where v is the quadratic nonresidue used to construct the twist + element_mul(Qx, curve_x_coord(Qbase), p->nqrinv); + //v^-3/2 = v^-2 * v^1/2 + element_mul(Qy, curve_y_coord(Qbase), p->nqrinv2); + cc_miller_no_denom_fn(out, pairing->r, in1, Qx, Qy); + tatepower10(out, out, pairing); + element_clear(Qx); + element_clear(Qy); +} + +static int cc_is_almost_coddh(element_ptr a, element_ptr b, + element_ptr c, element_ptr d, + pairing_t pairing) { + int res = 0; + element_t t0, t1, t2; + element_t cx, cy; + element_t dx, dy; + mnt_pairing_data_ptr p = pairing->data; + + element_init(cx, p->Fqd); + element_init(cy, p->Fqd); + element_init(dx, p->Fqd); + element_init(dy, p->Fqd); + + element_init(t0, p->Fqk); + element_init(t1, p->Fqk); + element_init(t2, p->Fqk); + //map from twist: (x, y) --> (v^-1 x, v^-(3/2) y) + //where v is the quadratic nonresidue used to construct the twist + element_mul(cx, curve_x_coord(c), p->nqrinv); + element_mul(dx, curve_x_coord(d), p->nqrinv); + //v^-3/2 = v^-2 * v^1/2 + element_mul(cy, curve_y_coord(c), p->nqrinv2); + element_mul(dy, curve_y_coord(d), p->nqrinv2); + + cc_miller_no_denom_fn(t0, pairing->r, a, dx, dy); + cc_miller_no_denom_fn(t1, pairing->r, b, cx, cy); + tatepower10(t0, t0, pairing); + tatepower10(t1, t1, pairing); + element_mul(t2, t0, t1); + if (element_is1(t2)) { + //g, g^x, h, h^-x case + res = 1; + } else { + element_invert(t1, t1); + element_mul(t2, t0, t1); + if (element_is1(t2)) { + //g, g^x, h, h^x case + res = 1; + } + } + element_clear(cx); + element_clear(cy); + element_clear(dx); + element_clear(dy); + element_clear(t0); + element_clear(t1); + element_clear(t2); + return res; +} + +struct pp_coeff_s { + element_t a; + element_t b; + element_t c; +}; +typedef struct pp_coeff_s pp_coeff_t[1]; +typedef struct pp_coeff_s *pp_coeff_ptr; + +static void g_pairing_pp_init(pairing_pp_t p, element_ptr in1, pairing_t pairing) { + element_ptr P = in1; + const element_ptr Px = curve_x_coord(P); + const element_ptr Py = curve_y_coord(P); + element_t Z; + int m; + mnt_pairing_data_ptr info = pairing->data; + element_t t0; + element_t a, b, c; + field_ptr Fq = info->Fq; + pp_coeff_t *coeff; + mpz_ptr q = pairing->r; + pp_coeff_ptr pp; + const element_ptr cca = curve_a_coeff(P); + element_ptr Zx; + element_ptr Zy; + + #define store_abc() { \ + element_init(pp->a, Fq); \ + element_init(pp->b, Fq); \ + element_init(pp->c, Fq); \ + element_set(pp->a, a); \ + element_set(pp->b, b); \ + element_set(pp->c, c); \ + pp++; \ + } + + //a = -slope_tangent(Z.x, Z.y); + //b = 1; + //c = -(Z.y + a * Z.x); + //but we multiply by 2*Z.y to avoid division + + //a = -Zx * (3 Zx + twicea_2) - a_4; + //Common curves: a2 = 0 (and cc->a is a_4), so + //a = -(3 Zx^2 + cc->a) + //b = 2 * Zy + //c = -(2 Zy^2 + a Zx); + #define do_tangent() { \ + element_square(a, Zx); \ + element_double(t0, a); \ + element_add(a, a, t0); \ + element_add(a, a, cca); \ + element_neg(a, a); \ + \ + element_add(b, Zy, Zy); \ + \ + element_mul(t0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + \ + store_abc(); \ + } + + //a = -(B.y - A.y) / (B.x - A.x); + //b = 1; + //c = -(A.y + a * A.x); + //but we'll multiply by B.x - A.x to avoid division + #define do_line() { \ + element_sub(b, Px, Zx); \ + element_sub(a, Zy, Py); \ + element_mul(t0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, t0); \ + element_neg(c, c); \ + store_abc(); \ + } + + element_init(Z, P->field); + element_set(Z, P); + Zx = curve_x_coord(Z); + Zy = curve_y_coord(Z); + + element_init(t0, Fq); + element_init(a, Fq); + element_init(b, Fq); + element_init(c, Fq); + + m = mpz_sizeinbase(q, 2) - 2; + p->data = pbc_malloc(sizeof(pp_coeff_t) * 2 * m); + coeff = (pp_coeff_t *) p->data; + pp = coeff[0]; + + for(;;) { + do_tangent(); + if (!m) break; + element_double(Z, Z); + if (mpz_tstbit(q, m)) { + do_line(); + element_add(Z, Z, P); + } + m--; + } + + element_clear(t0); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(Z); + #undef store_abc + #undef do_tangent + #undef do_line +} + +static void g_pairing_pp_clear(pairing_pp_t p) { + //TODO: better to store a sentinel value in p->data? + mpz_ptr q = p->pairing->r; + int m = mpz_sizeinbase(q, 2) + mpz_popcount(q) - 3; + int i; + pp_coeff_t *coeff = (pp_coeff_t *) p->data; + pp_coeff_ptr pp; + for (i=0; i<m; i++) { + pp = coeff[i]; + element_clear(pp->a); + element_clear(pp->b); + element_clear(pp->c); + } + pbc_free(p->data); +} + +static void g_pairing_pp_apply(element_ptr out, element_ptr in2, pairing_pp_t p) { + mpz_ptr q = p->pairing->r; + mnt_pairing_data_ptr info = p->pairing->data; + int m = mpz_sizeinbase(q, 2) - 2; + pp_coeff_t *coeff = (pp_coeff_t *) p->data; + pp_coeff_ptr pp = coeff[0]; + element_ptr Qbase = in2; + element_t e0; + element_t Qx, Qy; + element_t v; + element_init_same_as(e0, out); + element_init_same_as(v, out); + element_init(Qx, info->Fqd); + element_init(Qy, info->Fqd); + + //map from twist: (x, y) --> (v^-1 x, v^-(3/2) y) + //where v is the quadratic nonresidue used to construct the twist + element_mul(Qx, curve_x_coord(Qbase), info->nqrinv); + //v^-3/2 = v^-2 * v^1/2 + element_mul(Qy, curve_y_coord(Qbase), info->nqrinv2); + + element_set1(out); + for(;;) { + d_miller_evalfn(e0, pp->a, pp->b, pp->c, Qx, Qy); + element_mul(out, out, e0); + pp++; + + if (!m) break; + + if (mpz_tstbit(q, m)) { + d_miller_evalfn(e0, pp->a, pp->b, pp->c, Qx, Qy); + element_mul(out, out, e0); + pp++; + } + m--; + element_square(out, out); + } + tatepower10(out, out, p->pairing); + + element_clear(e0); + element_clear(Qx); + element_clear(Qy); + element_clear(v); +} + +// in1, in2 are from E(F_q), out from F_q^2 +// Compute pairing via elliptic nets (see Stange). +static void g_pairing_ellnet(element_ptr out, element_ptr in1, element_ptr in2, + pairing_t pairing) { + mnt_pairing_data_ptr p = pairing->data; + + const element_ptr a = curve_a_coeff(in1); + const element_ptr b = curve_b_coeff(in1); + + element_ptr x = curve_x_coord(in1); + element_ptr y = curve_y_coord(in1); + + element_ptr x2 = curve_x_coord(in2); + element_ptr y2 = curve_y_coord(in2); + + //we map (x2,y2) to (-x2, i y2) before pairing + //notation: cmi means c_{k-i}, ci means c_{k+i} + element_t cm3, cm2, cm1, c0, c1, c2, c3, c4; + element_t dm1, d0, d1; + element_t A, B, C; + + element_init_same_as(cm3, x); + element_init_same_as(cm2, x); + element_init_same_as(cm1, x); + element_init_same_as(c0, x); + element_init_same_as(c1, x); + element_init_same_as(c2, x); + element_init_same_as(c3, x); + element_init_same_as(c4, x); + element_init_same_as(C, x); + + element_init_same_as(dm1, out); + element_init_same_as(d0, out); + element_init_same_as(d1, out); + element_init_same_as(A, out); + element_init_same_as(B, out); + + // c1 = 2y + // cm3 = -2y + element_double(c1, y); + element_neg(cm3, c1); + + //use c0, cm1, cm2, C, c4 as temp variables for now + //compute c3, c2 + element_square(cm2, x); + element_square(C, cm2); + element_mul(cm1, b, x); + element_double(cm1, cm1); + element_square(c4, a); + + element_mul(c2, cm1, cm2); + element_double(c2, c2); + element_mul(c0, a, C); + element_add(c2, c2, c0); + element_mul(c0, c4, cm2); + element_sub(c2, c2, c0); + element_double(c0, c2); + element_double(c0, c0); + element_add(c2, c2, c0); + + element_mul(c0, cm1, a); + element_square(c3, b); + element_double(c3, c3); + element_double(c3, c3); + element_add(c0, c0, c3); + element_double(c0, c0); + element_mul(c3, a, c4); + element_add(c0, c0, c3); + element_sub(c2, c2, c0); + element_mul(c0, cm2, C); + element_add(c3, c0, c2); + element_mul(c3, c3, c1); + element_double(c3, c3); + + element_mul(c0, a, cm2); + element_add(c0, c0, cm1); + element_double(c0, c0); + element_add(c0, c0, C); + element_double(c2, c0); + element_add(c0, c0, c2); + element_sub(c2, c0, c4); + + // c0 = 1 + // cm2 = -1 + element_set1(c0); + element_neg(cm2, c0); + + // c4 = c_5 = c_2^3 c_4 - c_3^3 = c1^3 c3 - c2^3 + element_square(C, c1); + element_mul(c4, C, c1); + element_mul(c4, c4, c3); + element_square(C, c2); + element_mul(C, C, c2); + element_sub(c4, c4, C); + + //compute A, B, d1 + + element_mul(element_x(d0), x2, p->nqrinv); + element_neg(A, d0); + element_add(element_item(element_x(A), 0), element_item(element_x(A), 0), x); + + element_double(C, x); + element_add(element_item(element_x(d0), 0), element_item(element_x(d0), 0), C); + + element_square(dm1, A); + element_mul(dm1, d0, dm1); + + element_mul(element_y(d1), y2, p->nqrinv2); + element_set(element_item(element_x(d1), 0), y); + + element_square(d1, d1); + element_sub(d1, dm1, d1); + element_invert(B, d1); + + element_invert(A, A); + + element_mul(element_y(d1), y2, p->nqrinv2); + element_set0(element_x(d1)); + element_neg(element_item(element_x(d1), 0), y); + element_mul(d1, d1, A); + element_square(d1, d1); + element_sub(d1, d0, d1); + + // cm1 = 0 + // C = (2y)^-1 + element_set0(cm1); + element_invert(C, c1); + + element_set1(dm1); + element_set1(d0); + + element_t sm2, sm1; + element_t s0, s1, s2, s3; + element_t tm2, tm1; + element_t t0, t1, t2, t3; + element_t e0, e1; + element_t u, v; + + element_init_same_as(sm2, x); + element_init_same_as(sm1, x); + element_init_same_as(s0, x); + element_init_same_as(s1, x); + element_init_same_as(s2, x); + element_init_same_as(s3, x); + + element_init_same_as(tm2, x); + element_init_same_as(tm1, x); + element_init_same_as(t0, x); + element_init_same_as(t1, x); + element_init_same_as(t2, x); + element_init_same_as(t3, x); + + element_init_same_as(e0, x); + element_init_same_as(e1, x); + + element_init_same_as(u, d0); + element_init_same_as(v, d0); + + int m = mpz_sizeinbase(pairing->r, 2) - 2; + for (;;) { + element_square(sm2, cm2); + element_square(sm1, cm1); + element_square(s0, c0); + element_square(s1, c1); + element_square(s2, c2); + element_square(s3, c3); + + element_mul(tm2, cm3, cm1); + element_mul(tm1, cm2, c0); + element_mul(t0, cm1, c1); + element_mul(t1, c0, c2); + element_mul(t2, c1, c3); + element_mul(t3, c2, c4); + + element_square(u, d0); + element_mul(v, dm1, d1); + + if (mpz_tstbit(pairing->r, m)) { + //double-and-add + element_mul(e0, t0, sm2); + element_mul(e1, tm2, s0); + element_sub(cm3, e0, e1); + element_mul(cm3, cm3, C); + + element_mul(e0, t0, sm1); + element_mul(e1, tm1, s0); + element_sub(cm2, e0, e1); + + element_mul(e0, t1, sm1); + element_mul(e1, tm1, s1); + element_sub(cm1, e0, e1); + element_mul(cm1, cm1, C); + + element_mul(e0, t1, s0); + element_mul(e1, t0, s1); + element_sub(c0, e0, e1); + + element_mul(e0, t2, s0); + element_mul(e1, t0, s2); + element_sub(c1, e0, e1); + element_mul(c1, c1, C); + + element_mul(e0, t2, s1); + element_mul(e1, t1, s2); + element_sub(c2, e0, e1); + + element_mul(e0, t3, s1); + element_mul(e1, t1, s3); + element_sub(c3, e0, e1); + element_mul(c3, c3, C); + + element_mul(e0, t3, s2); + element_mul(e1, t2, s3); + element_sub(c4, e0, e1); + + polymod_const_mul(element_x(out), t0, element_x(u)); + polymod_const_mul(element_y(out), t0, element_y(u)); + polymod_const_mul(element_x(dm1), s0, element_x(v)); + polymod_const_mul(element_y(dm1), s0, element_y(v)); + element_sub(dm1, dm1, out); + + polymod_const_mul(element_x(out), t1, element_x(u)); + polymod_const_mul(element_y(out), t1, element_y(u)); + polymod_const_mul(element_x(d0), s1, element_x(v)); + polymod_const_mul(element_y(d0), s1, element_y(v)); + element_sub(d0, d0, out); + element_mul(d0, d0, A); + + polymod_const_mul(element_x(out), t2, element_x(u)); + polymod_const_mul(element_y(out), t2, element_y(u)); + polymod_const_mul(element_x(d1), s2, element_x(v)); + polymod_const_mul(element_y(d1), s2, element_y(v)); + element_sub(d1, d1, out); + element_mul(d1, d1, B); + } else { + //double + element_mul(e0, tm1, sm2); + element_mul(e1, tm2, sm1); + element_sub(cm3, e0, e1); + + element_mul(e0, t0, sm2); + element_mul(e1, tm2, s0); + element_sub(cm2, e0, e1); + element_mul(cm2, cm2, C); + + element_mul(e0, t0, sm1); + element_mul(e1, tm1, s0); + element_sub(cm1, e0, e1); + + element_mul(e0, t1, sm1); + element_mul(e1, tm1, s1); + element_sub(c0, e0, e1); + element_mul(c0, c0, C); + + element_mul(e0, t1, s0); + element_mul(e1, t0, s1); + element_sub(c1, e0, e1); + + element_mul(e0, t2, s0); + element_mul(e1, t0, s2); + element_sub(c2, e0, e1); + element_mul(c2, c2, C); + + element_mul(e0, t2, s1); + element_mul(e1, t1, s2); + element_sub(c3, e0, e1); + + element_mul(e0, t3, s1); + element_mul(e1, t1, s3); + element_sub(c4, e0, e1); + element_mul(c4, c4, C); + + polymod_const_mul(element_x(out), tm1, element_x(u)); + polymod_const_mul(element_y(out), tm1, element_y(u)); + polymod_const_mul(element_x(dm1), sm1, element_x(v)); + polymod_const_mul(element_y(dm1), sm1, element_y(v)); + element_sub(dm1, dm1, out); + + polymod_const_mul(element_x(out), t0, element_x(u)); + polymod_const_mul(element_y(out), t0, element_y(u)); + polymod_const_mul(element_x(d0), s0, element_x(v)); + polymod_const_mul(element_y(d0), s0, element_y(v)); + element_sub(d0, d0, out); + + polymod_const_mul(element_x(out), t1, element_x(u)); + polymod_const_mul(element_y(out), t1, element_y(u)); + polymod_const_mul(element_x(d1), s1, element_x(v)); + polymod_const_mul(element_y(d1), s1, element_y(v)); + element_sub(d1, d1, out); + element_mul(d1, d1, A); + } + if (!m) break; + m--; + } + // since c_k lies base field + // it gets killed by the final powering + //element_invert(c1, c1); + //element_mul(element_x(d1), element_x(d1), c1); + //element_mul(element_y(d1), element_y(d1), c1); + + tatepower10(out, d1, pairing); + + element_clear(dm1); + element_clear(d0); + element_clear(d1); + + element_clear(cm3); + element_clear(cm2); + element_clear(cm1); + element_clear(c0); + element_clear(c1); + element_clear(c2); + element_clear(c3); + element_clear(c4); + + element_clear(sm2); + element_clear(sm1); + element_clear(s0); + element_clear(s1); + element_clear(s2); + element_clear(s3); + + element_clear(tm2); + element_clear(tm1); + element_clear(t0); + element_clear(t1); + element_clear(t2); + element_clear(t3); + + element_clear(e0); + element_clear(e1); + element_clear(A); + element_clear(B); + element_clear(C); + element_clear(u); + element_clear(v); +} + +static void g_pairing_clear(pairing_t pairing) { + field_clear(pairing->GT); + mnt_pairing_data_ptr p = pairing->data; + + element_clear(p->xpowq); + element_clear(p->xpowq2); + element_clear(p->xpowq3); + element_clear(p->xpowq4); + mpz_clear(pairing->phikonr); + + field_clear(p->Etwist); + field_clear(p->Eq); + element_clear(p->nqrinv); + element_clear(p->nqrinv2); + field_clear(p->Fqk); + field_clear(p->Fqd); + field_clear(p->Fqx); + field_clear(p->Fq); + field_clear(pairing->Zr); + mpz_clear(pairing->r); + pbc_free(p); +} + +static void g_pairing_option_set(pairing_t pairing, char *key, char *value) { + UNUSED_VAR(pairing); + if (!strcmp(key, "method")) { + if (!strcmp(value, "miller")) { + cc_miller_no_denom_fn = cc_miller_no_denom_proj; + } else if (!strcmp(value, "miller-affine")) { + cc_miller_no_denom_fn = cc_miller_no_denom_affine; + } else if (!strcmp(value, "shipsey-stange")) { + pairing->map = g_pairing_ellnet; + } + } +} + +static void g_finalpow(element_ptr e) { + element_t t0; + element_init_same_as(t0, e->data); + tatepower10(t0, e->data, e->field->pairing); + element_set(e->data, t0); + element_clear(t0); +} + +// Computes a curve and sets fp to the field it is defined over using the +// complex multiplication method, where cm holds appropriate data +// (e.g. discriminant, field order). +static void compute_cm_curve(g_param_ptr param, pbc_cm_ptr cm) { + element_t hp, root; + field_t fp, fpx; + field_t cc; + + field_init_fp(fp, cm->q); + field_init_poly(fpx, fp); + element_init(hp, fpx); + + mpz_t *coefflist; + int n = pbc_hilbert(&coefflist, cm->D); + + // Temporarily set the coefficient of x^{n-1} to 1 so hp has degree n - 1, + // allowing us to use element_item(). + poly_set_coeff1(hp, n - 1); + int i; + for (i = 0; i < n; i++) { + element_set_mpz(element_item(hp, i), coefflist[i]); + } + pbc_hilbert_free(coefflist, n); + + //TODO: remove x = 0, 1728 roots + //TODO: what if there's no roots? + //printf("hp "); + //element_out_str(stdout, 0, hp); + //printf("\n"); + + element_init(root, fp); + poly_findroot(root, hp); + //printf("root = "); + //element_out_str(stdout, 0, root); + //printf("\n"); + element_clear(hp); + field_clear(fpx); + + //the root is the j-invariant of our desired curve + field_init_curve_j(cc, root, cm->n, NULL); + element_clear(root); + + //we may need to twist it however + { + // Pick a random point P and twist the curve if it has the wrong order. + element_t P; + element_init(P, cc); + element_random(P); + element_mul_mpz(P, P, cm->n); + if (!element_is0(P)) field_reinit_curve_twist(cc); + element_clear(P); + } + + mpz_set(param->q, cm->q); + mpz_set(param->n, cm->n); + mpz_set(param->h, cm->h); + mpz_set(param->r, cm->r); + element_to_mpz(param->a, curve_field_a_coeff(cc)); + element_to_mpz(param->b, curve_field_b_coeff(cc)); + { + mpz_t z; + mpz_init(z); + //compute order of curve in F_q^k + //n = q - t + 1 hence t = q - n + 1 + mpz_sub(z, param->q, param->n); + mpz_add_ui(z, z, 1); + pbc_mpz_trace_n(z, param->q, z, 10); + mpz_pow_ui(param->nk, param->q, 10); + mpz_sub_ui(z, z, 1); + mpz_sub(param->nk, param->nk, z); + mpz_mul(z, param->r, param->r); + mpz_divexact(param->hk, param->nk, z); + mpz_clear(z); + } + field_clear(cc); + field_clear(fp); +} + +static void g_init_pairing(pairing_t pairing, void *data) { + g_param_ptr param = data; + mnt_pairing_data_ptr p; + element_t a, b; + element_t irred; + int i; + + mpz_init(pairing->r); + mpz_set(pairing->r, param->r); + field_init_fp(pairing->Zr, pairing->r); + pairing->map = cc_pairing; + pairing->is_almost_coddh = cc_is_almost_coddh; + + p = pairing->data = pbc_malloc(sizeof(mnt_pairing_data_t)); + field_init_fp(p->Fq, param->q); + element_init(a, p->Fq); + element_init(b, p->Fq); + element_set_mpz(a, param->a); + element_set_mpz(b, param->b); + field_init_curve_ab(p->Eq, a, b, pairing->r, param->h); + + field_init_poly(p->Fqx, p->Fq); + element_init(irred, p->Fqx); + + // First set the coefficient of x^5 to 1 so we can call element_item() + // for the other coefficients. + poly_set_coeff1(irred, 5); + for (i=0; i<5; i++) { + element_set_mpz(element_item(irred, i), param->coeff[i]); + } + + field_init_polymod(p->Fqd, irred); + element_clear(irred); + + p->Fqd->nqr = pbc_malloc(sizeof(element_t)); + element_init(p->Fqd->nqr, p->Fqd); + element_set_mpz(((element_t *) p->Fqd->nqr->data)[0], param->nqr); + + field_init_quadratic(p->Fqk, p->Fqd); + + // Compute phi(k)/r = (q^4 - q^3 + ... + 1)/r. + { + element_ptr e = p->xpowq; + mpz_t z0; + mpz_ptr q = param->q; + mpz_ptr z = pairing->phikonr; + mpz_init(z); + mpz_init(z0); + mpz_set_ui(z, 1); + mpz_sub(z, z, q); + mpz_mul(z0, q, q); + mpz_add(z, z, z0); + mpz_mul(z0, z0, q); + mpz_sub(z, z, z0); + mpz_mul(z0, z0, q); + mpz_add(z, z, z0); + mpz_clear(z0); + mpz_divexact(z, z, pairing->r); + + element_init(e, p->Fqd); + element_init(p->xpowq2, p->Fqd); + element_init(p->xpowq3, p->Fqd); + element_init(p->xpowq4, p->Fqd); + element_set1(((element_t *) e->data)[1]); + element_pow_mpz(e, e, q); + + element_square(p->xpowq2, p->xpowq); + element_square(p->xpowq4, p->xpowq2); + element_mul(p->xpowq3, p->xpowq2, p->xpowq); + } + + field_init_curve_ab_map(p->Etwist, p->Eq, element_field_to_polymod, p->Fqd, pairing->r, NULL); + field_reinit_curve_twist(p->Etwist); + + element_init(p->nqrinv, p->Fqd); + element_invert(p->nqrinv, field_get_nqr(p->Fqd)); + element_init(p->nqrinv2, p->Fqd); + element_square(p->nqrinv2, p->nqrinv); + + mpz_t ndonr; + mpz_init(ndonr); + // ndonr temporarily holds the trace. + mpz_sub(ndonr, param->q, param->n); + mpz_add_ui(ndonr, ndonr, 1); + // Negate because we want the order of the twist. + mpz_neg(ndonr, ndonr); + pbc_mpz_curve_order_extn(ndonr, param->q, ndonr, 5); + mpz_divexact(ndonr, ndonr, param->r); + field_curve_set_quotient_cmp(p->Etwist, ndonr); + mpz_clear(ndonr); + + pairing->G1 = p->Eq; + pairing->G2 = p->Etwist; + pairing_GT_init(pairing, p->Fqk); + pairing->finalpow = g_finalpow; + + cc_miller_no_denom_fn = cc_miller_no_denom_affine; + pairing->option_set = g_pairing_option_set; + pairing->pp_init = g_pairing_pp_init; + pairing->pp_clear = g_pairing_pp_clear; + pairing->pp_apply = g_pairing_pp_apply; + + pairing->clear_func = g_pairing_clear; + + element_clear(a); + element_clear(b); +} + +static void g_init(pbc_param_ptr p) { + static pbc_param_interface_t interface = {{ + g_clear, + g_init_pairing, + g_out_str, + }}; + p->api = interface; + g_param_ptr param = p->data = pbc_malloc(sizeof(*param)); + mpz_init(param->q); + mpz_init(param->n); + mpz_init(param->h); + mpz_init(param->r); + mpz_init(param->a); + mpz_init(param->b); + mpz_init(param->nk); + mpz_init(param->hk); + param->coeff = NULL; + mpz_init(param->nqr); +} + +// Public interface: + +int pbc_param_init_g(pbc_param_ptr par, struct symtab_s *tab) { + g_init(par); + g_param_ptr p = par->data; + char s[80]; + + int err = 0; + err += lookup_mpz(p->q, tab, "q"); + err += lookup_mpz(p->n, tab, "n"); + err += lookup_mpz(p->h, tab, "h"); + err += lookup_mpz(p->r, tab, "r"); + err += lookup_mpz(p->a, tab, "a"); + err += lookup_mpz(p->b, tab, "b"); + err += lookup_mpz(p->nk, tab, "nk"); + err += lookup_mpz(p->hk, tab, "hk"); + err += lookup_mpz(p->nqr, tab, "nqr"); + + p->coeff = pbc_realloc(p->coeff, sizeof(mpz_t) * 5); + int i; + for (i = 0; i < 5; i++) { + sprintf(s, "coeff%d", i); + mpz_init(p->coeff[i]); + err += lookup_mpz(p->coeff[i], tab, s); + } + return err; +} + +void pbc_param_init_g_gen(pbc_param_t p, pbc_cm_ptr cm) { + g_init(p); + g_param_ptr param = p->data; + field_t Fq, Fqx, Fqd; + element_t irred, nqr; + int i; + + compute_cm_curve(param, cm); + + field_init_fp(Fq, param->q); + field_init_poly(Fqx, Fq); + element_init(irred, Fqx); + do { + poly_random_monic(irred, 5); + } while (!poly_is_irred(irred)); + field_init_polymod(Fqd, irred); + + // Find a quadratic nonresidue of Fqd lying in Fq. + element_init(nqr, Fqd); + do { + element_random(((element_t *) nqr->data)[0]); + } while (element_is_sqr(nqr)); + + param->coeff = pbc_realloc(param->coeff, sizeof(mpz_t) * 5); + + for (i=0; i<5; i++) { + mpz_init(param->coeff[i]); + element_to_mpz(param->coeff[i], element_item(irred, i)); + } + element_to_mpz(param->nqr, ((element_t *) nqr->data)[0]); + + element_clear(nqr); + element_clear(irred); + + field_clear(Fqx); + field_clear(Fqd); + field_clear(Fq); +} diff --git a/moon-abe/pbc-0.5.14/ecc/hilbert.c b/moon-abe/pbc-0.5.14/ecc/hilbert.c new file mode 100644 index 00000000..753e70e0 --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/hilbert.c @@ -0,0 +1,539 @@ +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> //for pbc_malloc, pbc_free +#include <gmp.h> +#include <math.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_poly.h" +#include "pbc_hilbert.h" +#include "pbc_memory.h" + +#include "misc/darray.h" +#include "mpc.h" + +static mpf_t pi, eulere, recipeulere, epsilon, negepsilon; + +static void mpf_exp(mpf_t res, mpf_t pwr) { + mpf_t a; + mpf_t f0; + int i; + + mpf_init(a); mpf_set(a, pwr); + + mpf_init(f0); + + mpf_set(f0, a); + mpf_add_ui(res, a, 1); + + for (i=2;;i++) { + mpf_mul(f0, f0, a); + mpf_div_ui(f0, f0, i); + if (mpf_sgn(f0) > 0) { + if (mpf_cmp(f0, epsilon) < 0) break; + } else { + if (mpf_cmp(f0, negepsilon) > 0) break; + } + mpf_add(res, res, f0); + } + + mpf_clear(f0); + mpf_clear(a); +} + +static void mpc_cis(mpc_t res, mpf_t theta) { + mpf_t a; + + mpf_init(a); mpf_set(a, theta); + //res = exp(i a) + // = cos a + i sin a + //converges quickly near the origin + mpf_t f0; + mpf_ptr rx = mpc_re(res), ry = mpc_im(res); + int i; + int toggle = 1; + + mpf_init(f0); + + mpf_set(f0, a); + mpf_set_ui(rx, 1); + mpf_set(ry, f0); + i = 1; + for(;;) { + toggle = !toggle; + i++; + mpf_div_ui(f0, f0, i); + mpf_mul(f0, f0, a); + if (toggle) { + mpf_add(rx, rx, f0); + } else { + mpf_sub(rx, rx, f0); + } + + i++; + mpf_div_ui(f0, f0, i); + mpf_mul(f0, f0, a); + + if (toggle) { + mpf_add(ry, ry, f0); + } else { + mpf_sub(ry, ry, f0); + } + + if (mpf_sgn(f0) > 0) { + if (mpf_cmp(f0, epsilon) < 0) break; + } else { + if (mpf_cmp(f0, negepsilon) > 0) break; + } + } + + mpf_clear(f0); + mpf_clear(a); +} + +// Computes q = exp(2 pi i tau). +static void compute_q(mpc_t q, mpc_t tau) { + mpc_t z0; + mpf_t f0, f1; + mpf_ptr fp0; + unsigned long pwr; + + mpc_init(z0); + mpf_init(f0); + mpf_init(f1); + + //compute z0 = 2 pi i tau + mpc_set(z0, tau); + //first remove integral part of Re(tau) + //since exp(2 pi i) = 1 + //it seems |Re(tau)| < 1 anyway? + fp0 = mpc_re(z0); + mpf_trunc(f1, fp0); + mpf_sub(fp0, fp0, f1); + + mpc_mul_mpf(z0, z0, pi); + mpc_mul_ui(z0, z0, 2); + mpc_muli(z0, z0); + + //compute q = exp(z0); + //first write z0 = A + a + b i + //where A is a (negative) integer + //and a, b are in [-1, 1] + //compute e^A separately + fp0 = mpc_re(z0); + pwr = mpf_get_ui(fp0); + mpf_pow_ui(f0, recipeulere, pwr); + mpf_add_ui(fp0, fp0, pwr); + + mpf_exp(f1, mpc_re(z0)); + mpf_mul(f0, f1, f0); + mpc_cis(q, mpc_im(z0)); + + /* + old_mpc_exp(q, z0); + */ + mpc_mul_mpf(q, q, f0); + + mpc_clear(z0); + mpf_clear(f0); + mpf_clear(f1); +} + +// Computes z = Delta(q) (see Cohen). +static void compute_Delta(mpc_t z, mpc_t q) { + int d; + int n; + int power; + mpc_t z0, z1, z2; + + mpc_init(z0); + mpc_init(z1); + mpc_init(z2); + + mpc_set_ui(z0, 1); + d = -1; + for(n=1; n<100; n++) { + power = n *(3 * n - 1) / 2; + mpc_pow_ui(z1, q, power); + mpc_pow_ui(z2, q, n); + mpc_mul(z2, z2, z1); + mpc_add(z1, z1, z2); + if (d) { + mpc_sub(z0, z0, z1); + d = 0; + } else { + mpc_add(z0, z0, z1); + d = 1; + } + } + + mpc_pow_ui(z0, z0, 24); + mpc_mul(z, z0, q); + + mpc_clear(z0); + mpc_clear(z1); + mpc_clear(z2); +} + +// Computes z = h(tau) +// (called h() by Blake et al, f() by Cohen.) +static void compute_h(mpc_t z, mpc_t tau) { + mpc_t z0, z1, q; + mpc_init(q); + mpc_init(z0); + mpc_init(z1); + compute_q(q, tau); + mpc_mul(z0, q, q); + compute_Delta(z0, z0); + compute_Delta(z1, q); + mpc_div(z, z0, z1); + mpc_clear(q); + mpc_clear(z0); + mpc_clear(z1); +} + +// Computes j = j(tau). +static void compute_j(mpc_t j, mpc_t tau) { + mpc_t h; + mpc_t z0; + mpc_init(h); + mpc_init(z0); + compute_h(h, tau); + //mpc_mul_ui(z0, h, 256); + mpc_mul_2exp(z0, h, 8); + mpc_add_ui(z0, z0, 1); + mpc_pow_ui(z0, z0, 3); + mpc_div(j, z0, h); + mpc_clear(z0); + mpc_clear(h); +} + +static void compute_pi(int prec) { + //Chudnovsky brothers' Ramanujan formula + //http://www.cs.uwaterloo.ca/~alopez-o/math-faq/mathtext/node12.html + mpz_t k1, k2, k4, k5, d; + unsigned int k3 = 640320; + unsigned int k6 = 53360; + mpz_t z0, z1, z2; + mpq_t p, q; + mpf_t f1; + int toggle = 1; + int n; + //converges fast: each term gives over 47 bits + int nlimit = prec / 47 + 1; + + mpz_init(k1); + mpz_init(k2); + mpz_init(k4); + mpz_init(k5); + mpz_init(d); + mpz_init(z0); + mpz_init(z1); + mpz_init(z2); + mpq_init(q); + mpq_init(p); + mpf_init(f1); + + mpz_set_str(k1, "545140134", 10); + mpz_set_str(k2, "13591409", 10); + mpz_set_str(k4, "100100025", 10); + mpz_set_str(k5, "327843840", 10); + + mpz_mul(d, k4, k5); + mpz_mul_2exp(d, d, 3); + mpq_set_ui(p, 0, 1); + + for (n=0; n<nlimit; n++) { + mpz_fac_ui(z0, 6*n); + mpz_mul_ui(z1, k1, n); + mpz_add(z1, z1, k2); + mpz_mul(z0, z0, z1); + + mpz_fac_ui(z1, 3*n); + mpz_fac_ui(z2, n); + mpz_pow_ui(z2, z2, 3); + mpz_mul(z1, z1, z2); + mpz_pow_ui(z2, d, n); + mpz_mul(z1, z1, z2); + + mpz_set(mpq_numref(q), z0); + mpz_set(mpq_denref(q), z1); + mpq_canonicalize(q); + if (toggle) { + mpq_add(p, p, q); + } else { + mpq_sub(p, p, q); + } + toggle = !toggle; + } + mpq_inv(q, p); + mpz_mul_ui(mpq_numref(q), mpq_numref(q), k6); + mpq_canonicalize(q); + mpf_set_q(pi, q); + mpf_sqrt_ui(f1, k3); + mpf_mul(pi, pi, f1); + //mpf_out_str(stdout, 0, 14 * nlimit, pi); + //printf("\n"); + + mpz_clear(k1); + mpz_clear(k2); + mpz_clear(k4); + mpz_clear(k5); + mpz_clear(d); + mpz_clear(z0); + mpz_clear(z1); + mpz_clear(z2); + mpq_clear(q); + mpq_clear(p); + mpf_clear(f1); +} + +static void precision_init(int prec) { + int i; + mpf_t f0; + + mpf_set_default_prec(prec); + mpf_init2(epsilon, 2); + mpf_init2(negepsilon, 2); + mpf_init(recipeulere); + mpf_init(pi); + mpf_init(eulere); + + mpf_set_ui(epsilon, 1); + mpf_div_2exp(epsilon, epsilon, prec); + mpf_neg(negepsilon, epsilon); + + mpf_init(f0); + mpf_set_ui(eulere, 1); + mpf_set_ui(f0, 1); + for (i=1;; i++) { + mpf_div_ui(f0, f0, i); + if (mpf_cmp(f0, epsilon) < 0) { + break; + } + mpf_add(eulere, eulere, f0); + } + mpf_clear(f0); + + mpf_ui_div(recipeulere, 1, eulere); + + compute_pi(prec); +} + +static void precision_clear(void) { + mpf_clear(eulere); + mpf_clear(recipeulere); + mpf_clear(pi); + mpf_clear(epsilon); + mpf_clear(negepsilon); +} + +// See Cohen; my D is -D in his notation. +size_t pbc_hilbert(mpz_t **arr, int D) { + int a, b; + int t; + int B = floor(sqrt((double) D / 3.0)); + mpc_t alpha; + mpc_t j; + mpf_t sqrtD; + mpf_t f0; + darray_t Pz; + mpc_t z0, z1, z2; + double d = 1.0; + int h = 1; + int jcount = 1; + + // Compute required precision. + b = D % 2; + for (;;) { + t = (b*b + D) / 4; + a = b; + if (a <= 1) { + a = 1; + goto step535_4; + } +step535_3: + if (!(t % a)) { + jcount++; + if ((a == b) || (a*a == t) || !b) { + d += 1.0 / ((double) a); + h++; + } else { + d += 2.0 / ((double) a); + h+=2; + } + } +step535_4: + a++; + if (a * a <= t) { + goto step535_3; + } else { + b += 2; + if (b > B) break; + } + } + + //printf("modulus: %f\n", exp(3.14159265358979 * sqrt(D)) * d * 0.5); + d *= sqrt(D) * 3.14159265358979 / log(2); + precision_init(d + 34); + pbc_info("class number %d, %d bit precision", h, (int) d + 34); + + darray_init(Pz); + mpc_init(alpha); + mpc_init(j); + mpc_init(z0); + mpc_init(z1); + mpc_init(z2); + mpf_init(sqrtD); + mpf_init(f0); + + mpf_sqrt_ui(sqrtD, D); + b = D % 2; + h = 0; + for (;;) { + t = (b*b + D) / 4; + if (b > 1) { + a = b; + } else { + a = 1; + } +step3: + if (t % a) { +step4: + a++; + if (a * a <= t) goto step3; + } else { + // a, b, t/a are coeffs of an appropriate primitive reduced positive + // definite form. + // Compute j((-b + sqrt{-D})/(2a)). + h++; + pbc_info("[%d/%d] a b c = %d %d %d", h, jcount, a, b, t/a); + mpf_set_ui(f0, 1); + mpf_div_ui(f0, f0, 2 * a); + mpf_mul(mpc_im(alpha), sqrtD, f0); + mpf_mul_ui(f0, f0, b); + mpf_neg(mpc_re(alpha), f0); + + compute_j(j, alpha); +if (0) { + int i; + for (i=Pz->count - 1; i>=0; i--) { + printf("P %d = ", i); + mpc_out_str(stdout, 10, 4, Pz->item[i]); + printf("\n"); + } +} + if (a == b || a * a == t || !b) { + // P *= X - j + int i, n; + mpc_ptr p0; + p0 = (mpc_ptr) pbc_malloc(sizeof(mpc_t)); + mpc_init(p0); + mpc_neg(p0, j); + n = Pz->count; + if (n) { + mpc_set(z1, Pz->item[0]); + mpc_add(Pz->item[0], z1, p0); + for (i=1; i<n; i++) { + mpc_mul(z0, z1, p0); + mpc_set(z1, Pz->item[i]); + mpc_add(Pz->item[i], z1, z0); + } + mpc_mul(p0, p0, z1); + } + darray_append(Pz, p0); + } else { + // P *= X^2 - 2 Re(j) X + |j|^2 + int i, n; + mpc_ptr p0, p1; + p0 = (mpc_ptr) pbc_malloc(sizeof(mpc_t)); + p1 = (mpc_ptr) pbc_malloc(sizeof(mpc_t)); + mpc_init(p0); + mpc_init(p1); + // p1 = - 2 Re(j) + mpf_mul_ui(f0, mpc_re(j), 2); + mpf_neg(f0, f0); + mpf_set(mpc_re(p1), f0); + // p0 = |j|^2 + mpf_mul(f0, mpc_re(j), mpc_re(j)); + mpf_mul(mpc_re(p0), mpc_im(j), mpc_im(j)); + mpf_add(mpc_re(p0), mpc_re(p0), f0); + n = Pz->count; + if (!n) { + } else if (n == 1) { + mpc_set(z1, Pz->item[0]); + mpc_add(Pz->item[0], z1, p1); + mpc_mul(p1, z1, p1); + mpc_add(p1, p1, p0); + mpc_mul(p0, p0, z1); + } else { + mpc_set(z2, Pz->item[0]); + mpc_set(z1, Pz->item[1]); + mpc_add(Pz->item[0], z2, p1); + mpc_mul(z0, z2, p1); + mpc_add(Pz->item[1], z1, z0); + mpc_add(Pz->item[1], Pz->item[1], p0); + for (i=2; i<n; i++) { + mpc_mul(z0, z1, p1); + mpc_mul(alpha, z2, p0); + mpc_set(z2, z1); + mpc_set(z1, Pz->item[i]); + mpc_add(alpha, alpha, z0); + mpc_add(Pz->item[i], z1, alpha); + } + mpc_mul(z0, z2, p0); + mpc_mul(p1, p1, z1); + mpc_add(p1, p1, z0); + mpc_mul(p0, p0, z1); + } + darray_append(Pz, p1); + darray_append(Pz, p0); + } + goto step4; + } + b+=2; + if (b > B) break; + } + + // Round polynomial and assign. + int k = 0; + { + *arr = pbc_malloc(sizeof(mpz_t) * (Pz->count + 1)); + int i; + for (i=Pz->count - 1; i>=0; i--) { + if (mpf_sgn(mpc_re(Pz->item[i])) < 0) { + mpf_set_d(f0, -0.5); + } else { + mpf_set_d(f0, 0.5); + } + mpf_add(f0, f0, mpc_re(Pz->item[i])); + mpz_init((*arr)[k]); + mpz_set_f((*arr)[k], f0); + k++; + mpc_clear(Pz->item[i]); + pbc_free(Pz->item[i]); + } + mpz_init((*arr)[k]); + mpz_set_ui((*arr)[k], 1); + k++; + } + darray_clear(Pz); + mpc_clear(z0); + mpc_clear(z1); + mpc_clear(z2); + mpf_clear(f0); + mpf_clear(sqrtD); + mpc_clear(alpha); + mpc_clear(j); + + precision_clear(); + return k; +} + +void pbc_hilbert_free(mpz_t *arr, size_t n) { + size_t i; + + for (i = 0; i < n; i++) mpz_clear(arr[i]); + pbc_free(arr); +} diff --git a/moon-abe/pbc-0.5.14/ecc/mnt.c b/moon-abe/pbc-0.5.14/ecc/mnt.c new file mode 100644 index 00000000..230442fc --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/mnt.c @@ -0,0 +1,496 @@ +// Routines for finding: +// * MNT curves with embedding degree 6 +// * Freeman curves (which have embedding degree 10) + +#include <stdio.h> +#include <stdlib.h> +#include <stdint.h> // for intptr_t +#include <gmp.h> +#include "pbc_mnt.h" +#include "pbc_memory.h" +#include "pbc_utils.h" +#include "misc/darray.h" + +struct pell_solution_s { + int count; + mpz_t minx; //minimal solution of x^2 - Dy^2 = 1 + mpz_t miny; + mpz_t *x; + mpz_t *y; +}; +typedef struct pell_solution_s pell_solution_t[1]; +typedef struct pell_solution_s *pell_solution_ptr; + +static void freempz(void *data) { + mpz_clear(data); + pbc_free(data); +} + +// Solves x^2 - Dy^2 = N where D not a square. +// For square D, we have (x+Dy)(x-Dy) = N so we look at the factors of N. +static void general_pell(pell_solution_t ps, mpz_t D, int N) { + // TODO: Use brute force for small D. + int i, sgnN = N > 0 ? 1 : -1; + intptr_t f, n; + + // Find square factors of N. + darray_t listf; + darray_init(listf); + + f = 1; + for (;;) { + n = f * f; + if (n > abs(N)) break; + if (!(abs(N) % n)) { + darray_append(listf, int_to_voidp(f)); + } + f++; + } + + //a0, twice_a0 don't change once initialized + //a1 is a_i every iteration + //P0, P1 become P_{i-1}, P_i every iteration + //similarly for Q0, Q1 + mpz_t a0, twice_a0, a1; + mpz_t P0, P1; + mpz_t Q0, Q1; + //variables to compute the convergents + mpz_t p0, p1, pnext; + mpz_t q0, q1, qnext; + + int d; + + darray_t listp, listq; + mpz_ptr zptr; + + mpz_init(a0); + mpz_init(twice_a0); + mpz_init(a1); + mpz_init(P0); mpz_init(P1); + mpz_init(Q0); mpz_init(Q1); + mpz_init(p0); mpz_init(p1); mpz_init(pnext); + mpz_init(q0); mpz_init(q1); mpz_init(qnext); + + darray_init(listp); + darray_init(listq); + + mpz_sqrt(a0, D); + mpz_set_ui(P0, 0); + mpz_set_ui(Q0, 1); + + mpz_set(P1, a0); + mpz_mul(Q1, a0, a0); + mpz_sub(Q1, D, Q1); + mpz_add(a1, a0, P1); + mpz_tdiv_q(a1, a1, Q1); + + mpz_add(twice_a0, a0, a0); + + mpz_set(p0, a0); + mpz_set_ui(q0, 1); + mpz_mul(p1, a0, a1); + mpz_add_ui(p1, p1, 1); + mpz_set(q1, a1); + + d = -1; + for(;;) { + if (d == sgnN) { + for (i=0; i<listf->count; i++) { + f = (intptr_t) listf->item[i]; + if (!mpz_cmp_ui(Q1, abs(N) / (f * f))) { +//element_printf("found %Zd, %Zd, %d\n", p0, q0, f); + zptr = (mpz_ptr) pbc_malloc(sizeof(mpz_t)); + mpz_init(zptr); + mpz_set(zptr, p0); + mpz_mul_ui(zptr, p0, f); + darray_append(listp, zptr); + zptr = (mpz_ptr) pbc_malloc(sizeof(mpz_t)); + mpz_init(zptr); + mpz_set(zptr, q0); + mpz_mul_ui(zptr, q0, f); + darray_append(listq, zptr); + } + } + } + + if (!mpz_cmp(twice_a0, a1) && d == 1) break; + //compute more of the continued fraction expansion + mpz_set(P0, P1); + mpz_mul(P1, a1, Q1); + mpz_sub(P1, P1, P0); + mpz_set(Q0, Q1); + mpz_mul(Q1, P1, P1); + mpz_sub(Q1, D, Q1); + mpz_divexact(Q1, Q1, Q0); + mpz_add(a1, a0, P1); + mpz_tdiv_q(a1, a1, Q1); + + //compute next convergent + mpz_mul(pnext, a1, p1); + mpz_add(pnext, pnext, p0); + mpz_set(p0, p1); + mpz_set(p1, pnext); + + mpz_mul(qnext, a1, q1); + mpz_add(qnext, qnext, q0); + mpz_set(q0, q1); + mpz_set(q1, qnext); + d = -d; + } + darray_clear(listf); + + mpz_init(ps->minx); + mpz_init(ps->miny); + mpz_set(ps->minx, p0); + mpz_set(ps->miny, q0); + n = listp->count; + ps->count = n; + if (n) { + ps->x = (mpz_t *) pbc_malloc(sizeof(mpz_t) * n); + ps->y = (mpz_t *) pbc_malloc(sizeof(mpz_t) * n); + for (i = 0; i < n; i++) { + mpz_init(ps->x[i]); + mpz_init(ps->y[i]); + mpz_set(ps->x[i], (mpz_ptr) listp->item[i]); + mpz_set(ps->y[i], (mpz_ptr) listq->item[i]); + } + } + + mpz_clear(a0); + mpz_clear(twice_a0); + mpz_clear(a1); + mpz_clear(P0); mpz_clear(P1); + mpz_clear(Q0); mpz_clear(Q1); + mpz_clear(p0); mpz_clear(p1); mpz_clear(pnext); + mpz_clear(q0); mpz_clear(q1); mpz_clear(qnext); + + darray_forall(listp, freempz); + darray_forall(listq, freempz); + darray_clear(listp); + darray_clear(listq); +} + +static void pell_solution_clear(pell_solution_t ps) { + int i, n = ps->count; + + if (n) { + for (i=0; i<n; i++) { + mpz_clear(ps->x[i]); + mpz_clear(ps->y[i]); + } + pbc_free(ps->x); + pbc_free(ps->y); + } + mpz_clear(ps->minx); + mpz_clear(ps->miny); +} + +void pbc_cm_init(pbc_cm_t cm) { + mpz_init(cm->q); + mpz_init(cm->r); + mpz_init(cm->h); + mpz_init(cm->n); +} + +void pbc_cm_clear(pbc_cm_t cm) { + mpz_clear(cm->q); + mpz_clear(cm->r); + mpz_clear(cm->h); + mpz_clear(cm->n); +} + +static int mnt_step2(int (*callback)(pbc_cm_t, void *), void *data, + unsigned int D, mpz_t U) { + int d; + mpz_t n, l, q; + mpz_t p; + mpz_t r, cofac; + + mpz_init(l); + mpz_mod_ui(l, U, 6); + if (!mpz_cmp_ui(l, 1)) { + mpz_sub_ui(l, U, 1); + d = 1; + } else if (!mpz_cmp_ui(l, 5)) { + mpz_add_ui(l, U, 1); + d = -1; + } else { + mpz_clear(l); + return 0; + } + + mpz_divexact_ui(l, l, 3); + mpz_init(q); + + mpz_mul(q, l, l); + mpz_add_ui(q, q, 1); + if (!mpz_probab_prime_p(q, 10)) { + mpz_clear(q); + mpz_clear(l); + return 0; + } + + mpz_init(n); + if (d < 0) { + mpz_sub(n, q, l); + } else { + mpz_add(n, q, l); + } + + mpz_init(p); + mpz_init(r); + mpz_init(cofac); + { + mpz_set_ui(cofac, 1); + mpz_set(r, n); + mpz_set_ui(p, 2); + if (!mpz_probab_prime_p(r, 10)) for(;;) { + if (mpz_divisible_p(r, p)) do { + mpz_mul(cofac, cofac, p); + mpz_divexact(r, r, p); + } while (mpz_divisible_p(r, p)); + if (mpz_probab_prime_p(r, 10)) break; + //TODO: use a table of primes instead? + mpz_nextprime(p, p); + if (mpz_sizeinbase(p, 2) > 16) { + //printf("has 16+ bit factor\n"); + mpz_clear(r); + mpz_clear(p); + mpz_clear(cofac); + mpz_clear(q); + mpz_clear(l); + mpz_clear(n); + return 0; + } + } + } + + pbc_cm_t cm; + pbc_cm_init(cm); + cm->k = 6; + cm->D = D; + mpz_set(cm->q, q); + mpz_set(cm->r, r); + mpz_set(cm->h, cofac); + mpz_set(cm->n, n); + int res = callback(cm, data); + pbc_cm_clear(cm); + + mpz_clear(cofac); + mpz_clear(r); + mpz_clear(p); + mpz_clear(q); + mpz_clear(l); + mpz_clear(n); + return res; +} + +int pbc_cm_search_d(int (*callback)(pbc_cm_t, void *), void *data, + unsigned int D, unsigned int bitlimit) { + mpz_t D3; + mpz_t t0, t1, t2; + + mpz_init(D3); + mpz_set_ui(D3, D * 3); + + if (mpz_perfect_square_p(D3)) { + // The only squares that differ by 8 are 1 and 9, + // which we get if U=V=1, D=3, but then l is not an integer. + mpz_clear(D3); + return 0; + } + + mpz_init(t0); + mpz_init(t1); + mpz_init(t2); + + pell_solution_t ps; + general_pell(ps, D3, -8); + + int i, n; + int res = 0; + n = ps->count; + if (n) for (;;) { + for (i=0; i<n; i++) { + //element_printf("%Zd, %Zd\n", ps->x[i], ps->y[i]); + res = mnt_step2(callback, data, D, ps->x[i]); + if (res) goto toobig; + //compute next solution as follows + //if p, q is current solution + //compute new solution p', q' via + //(p + q sqrt{3D})(t + u sqrt{3D}) = p' + q' sqrt(3D) + //where t, u is min. solution to Pell equation + mpz_mul(t0, ps->minx, ps->x[i]); + mpz_mul(t1, ps->miny, ps->y[i]); + mpz_mul(t1, t1, D3); + mpz_add(t0, t0, t1); + if (2 * mpz_sizeinbase(t0, 2) > bitlimit + 10) goto toobig; + mpz_mul(t2, ps->minx, ps->y[i]); + mpz_mul(t1, ps->miny, ps->x[i]); + mpz_add(t2, t2, t1); + mpz_set(ps->x[i], t0); + mpz_set(ps->y[i], t2); + } + } +toobig: + + pell_solution_clear(ps); + mpz_clear(t0); + mpz_clear(t1); + mpz_clear(t2); + mpz_clear(D3); + return res; +} + +static int freeman_step2(int (*callback)(pbc_cm_t, void *), void *data, + unsigned int D, mpz_t U) { + mpz_t n, x, q; + mpz_t p; + mpz_t r, cofac; + pbc_cm_t cm; + + mpz_init(x); + mpz_mod_ui(x, U, 15); + if (!mpz_cmp_ui(x, 5)) { + mpz_sub_ui(x, U, 5); + } else if (!mpz_cmp_ui(x, 10)) { + mpz_add_ui(x, U, 5); + } else { + pbc_die("should never reach here"); + mpz_clear(x); + return 0; + } + + mpz_divexact_ui(x, x, 15); + mpz_init(q); + mpz_init(r); + + //q = 25x^4 + 25x^3 + 25x^2 + 10x + 3 + mpz_mul(r, x, x); + mpz_add(q, x, x); + mpz_mul_ui(r, r, 5); + mpz_add(q, q, r); + mpz_mul(r, r, x); + mpz_add(q, q, r); + mpz_mul(r, r, x); + mpz_add(q, q, r); + mpz_mul_ui(q, q, 5); + mpz_add_ui(q, q, 3); + + if (!mpz_probab_prime_p(q, 10)) { + mpz_clear(q); + mpz_clear(r); + mpz_clear(x); + return 0; + } + + //t = 10x^2 + 5x + 3 + //n = q - t + 1 + mpz_init(n); + + mpz_mul_ui(n, x, 5); + mpz_mul(r, n, x); + mpz_add(r, r, r); + mpz_add(n, n, r); + mpz_sub(n, q, n); + mpz_sub_ui(n, n, 2); + + mpz_init(p); + mpz_init(cofac); + { + mpz_set_ui(cofac, 1); + mpz_set(r, n); + mpz_set_ui(p, 2); + if (!mpz_probab_prime_p(r, 10)) for(;;) { + if (mpz_divisible_p(r, p)) do { + mpz_mul(cofac, cofac, p); + mpz_divexact(r, r, p); + } while (mpz_divisible_p(r, p)); + if (mpz_probab_prime_p(r, 10)) break; + //TODO: use a table of primes instead? + mpz_nextprime(p, p); + if (mpz_sizeinbase(p, 2) > 16) { + //printf("has 16+ bit factor\n"); + mpz_clear(r); + mpz_clear(p); + mpz_clear(cofac); + mpz_clear(q); + mpz_clear(x); + mpz_clear(n); + return 0; + } + } + } + + pbc_cm_init(cm); + cm->k = 10; + cm->D = D; + mpz_set(cm->q, q); + mpz_set(cm->r, r); + mpz_set(cm->h, cofac); + mpz_set(cm->n, n); + int res = callback(cm, data); + pbc_cm_clear(cm); + + mpz_clear(cofac); + mpz_clear(r); + mpz_clear(p); + mpz_clear(q); + mpz_clear(x); + mpz_clear(n); + return res; +} + +int pbc_cm_search_g(int (*callback)(pbc_cm_t, void *), void *data, + unsigned int D, unsigned int bitlimit) { + int res = 0; + mpz_t D15; + mpz_t t0, t1, t2; + + mpz_init(D15); + mpz_set_ui(D15, D); + mpz_mul_ui(D15, D15, 15); + if (mpz_perfect_square_p(D15)) { + mpz_clear(D15); + return 0; + } + + mpz_init(t0); + mpz_init(t1); + mpz_init(t2); + + pell_solution_t ps; + general_pell(ps, D15, -20); + + int i, n; + n = ps->count; + if (n) for (;;) { + for (i=0; i<n; i++) { + res = freeman_step2(callback, data, D, ps->x[i]); + if (res) goto toobig; + // Compute next solution as follows: + // If p, q is current solution + // then compute new solution p', q' via + // (p + q sqrt{15D})(t + u sqrt{15D}) = p' + q' sqrt(15D) + // where t, u is min. solution to Pell equation + mpz_mul(t0, ps->minx, ps->x[i]); + mpz_mul(t1, ps->miny, ps->y[i]); + mpz_mul(t1, t1, D15); + mpz_add(t0, t0, t1); + if (2 * mpz_sizeinbase(t0, 2) > bitlimit + 10) goto toobig; + mpz_mul(t2, ps->minx, ps->y[i]); + mpz_mul(t1, ps->miny, ps->x[i]); + mpz_add(t2, t2, t1); + mpz_set(ps->x[i], t0); + mpz_set(ps->y[i], t2); + } + } +toobig: + + pell_solution_clear(ps); + mpz_clear(t0); + mpz_clear(t1); + mpz_clear(t2); + mpz_clear(D15); + return res; +} diff --git a/moon-abe/pbc-0.5.14/ecc/mpc.c b/moon-abe/pbc-0.5.14/ecc/mpc.c new file mode 100644 index 00000000..e5341f99 --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/mpc.c @@ -0,0 +1,122 @@ +//GMP based complex floats +#include <stdio.h> +#include <gmp.h> +#include "mpc.h" + +//(a+bi)(c+di) = ac - bd + ((a+b)(c+d) - ac - bd)i +void mpc_mul(mpc_t res, mpc_t z0, mpc_t z1) +{ + mpf_t ac, bd, f0; + mpf_init(ac); + mpf_init(bd); + mpf_init(f0); + mpf_mul(ac, z0->a, z1->a); + mpf_mul(bd, z0->b, z1->b); + mpf_add(f0, z0->a, z0->b); + mpf_add(res->b, z1->a, z1->b); + mpf_mul(res->b, res->b, f0); + mpf_sub(res->b, res->b, ac); + mpf_sub(res->b, res->b, bd); + mpf_sub(res->a, ac, bd); + mpf_clear(f0); + mpf_clear(ac); + mpf_clear(bd); +} + +void mpc_mul_2exp(mpc_t res, mpc_t z, unsigned long int e) +{ + mpf_mul_2exp(res->a, z->a, e); + mpf_mul_2exp(res->b, z->b, e); +} + +//(a+bi)^2 = (a-b)(a+b) + 2abi +void mpc_sqr(mpc_t res, mpc_t z) +{ + mpf_t f0, f1; + mpf_init(f0); + mpf_init(f1); + mpf_add(f0, z->a, z->b); + mpf_sub(f1, z->a, z->b); + mpf_mul(f0, f0, f1); + mpf_mul(f1, z->a, z->b); + mpf_set(res->a, f0); + mpf_add(res->b, f1, f1); + mpf_clear(f0); + mpf_clear(f1); +} + +//1/(a+bi) = (1/(a^2 + b^2))(a-bi) +//naive. TODO: use one that is less prone to (over/under)flows/precision loss +void mpc_inv(mpc_t res, mpc_t z) +{ + mpf_t f0, f1; + mpf_init(f0); + mpf_init(f1); + mpf_mul(f0, z->a, z->a); + mpf_mul(f1, z->b, z->b); + mpf_add(f0, f0, f1); + mpf_ui_div(f0, 1, f0); + mpf_mul(res->a, z->a, f0); + mpf_neg(f0, f0); + mpf_mul(res->b, z->b, f0); + mpf_clear(f0); + mpf_clear(f1); +} + +void mpc_div(mpc_t res, mpc_t z0, mpc_t z1) +{ + mpc_t c0; + mpc_init(c0); + mpc_inv(c0, z1); + mpc_mul(res, z0, c0); + mpc_clear(c0); +} + +size_t mpc_out_str(FILE *stream, int base, size_t n_digits, mpc_t op) +{ + size_t result, status; + result = mpf_out_str(stream, base, n_digits, op->a); + if (!result) return 0; + if (mpf_sgn(op->b) >= 0) { + if (EOF == fputc('+', stream)) return 0; + result++; + } + status = mpf_out_str(stream, base, n_digits, op->b); + if (!status) return 0; + if (EOF == fputc('i', stream)) return 0; + return result + status + 1; +} + +void mpc_pow_ui(mpc_t res, mpc_t z, unsigned int n) +{ + unsigned int m; + mpc_t z0; + mpc_init(z0); + + //set m to biggest power of 2 less than n + for (m = 1; m <= n; m <<= 1); + m >>= 1; + + mpf_set_ui(z0->a, 1); + mpf_set_ui(z0->b, 0); + while (m) { + mpc_mul(z0, z0, z0); + if (m & n) { + mpc_mul(z0, z0, z); + } + m >>= 1; + } + mpc_set(res, z0); + mpc_clear(z0); +} + +void mpc_muli(mpc_t res, mpc_t z) +{ + //i(a+bi) = -b + ai + mpf_t f0; + mpf_init(f0); + mpf_neg(f0, z->b); + mpf_set(res->b, z->a); + mpf_set(res->a, f0); + mpf_clear(f0); +} diff --git a/moon-abe/pbc-0.5.14/ecc/mpc.h b/moon-abe/pbc-0.5.14/ecc/mpc.h new file mode 100644 index 00000000..3588586b --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/mpc.h @@ -0,0 +1,93 @@ +// Complex floats. +// Called mpc_t, these complex numbers are built on GMP's mpf_t type. + +// Requires: +// * stdio.h +// * gmp.h + +#ifndef __PBC_MPC_H__ +#define __PBC_MPC_H__ + +#pragma GCC visibility push(hidden) + +struct mpc_s { + mpf_t a; + mpf_t b; +}; +typedef struct mpc_s mpc_t[1]; +typedef struct mpc_s *mpc_ptr; + +static inline void mpc_init(mpc_ptr c) { + mpf_init(c->a); + mpf_init(c->b); +} + +static inline void mpc_clear(mpc_ptr c) { + mpf_clear(c->a); + mpf_clear(c->b); +} + +static inline mpf_ptr mpc_re(mpc_ptr c) { + return c->a; +} + +static inline mpf_ptr mpc_im(mpc_ptr c) { + return c->b; +} + +static inline void mpc_add(mpc_ptr res, mpc_ptr z0, mpc_ptr z1) { + mpf_add(res->a, z0->a, z1->a); + mpf_add(res->b, z0->b, z1->b); +} + +static inline void mpc_sub(mpc_ptr res, mpc_ptr z0, mpc_ptr z1) { + mpf_sub(res->a, z0->a, z1->a); + mpf_sub(res->b, z0->b, z1->b); +} + +static inline void mpc_neg(mpc_ptr res, mpc_ptr z) { + mpf_neg(res->a, z->a); + mpf_neg(res->b, z->b); +} + +static inline void mpc_conj(mpc_ptr res, mpc_ptr z) { + mpf_set(res->a, z->a); + mpf_neg(res->b, z->b); +} + +static inline void mpc_set(mpc_t res, mpc_t z) { + mpf_set(res->a, z->a); + mpf_set(res->b, z->b); +} + +static inline void mpc_set_ui(mpc_t res, unsigned long int n) { + mpf_set_ui(res->a, n); + mpf_set_ui(res->b, 0); +} + +static inline void mpc_add_ui(mpc_t res, mpc_t z, unsigned long int n) { + mpf_add_ui(res->a, z->a, n); +} + +static inline void mpc_mul_ui(mpc_t res, mpc_t z, unsigned long int n) { + mpf_mul_ui(res->a, z->a, n); + mpf_mul_ui(res->b, z->b, n); +} + +static inline void mpc_mul_mpf(mpc_t res, mpc_t z, mpf_t f) { + mpf_mul(res->a, z->a, f); + mpf_mul(res->b, z->b, f); +} + +void mpc_mul(mpc_t res, mpc_t z0, mpc_t z1); +void mpc_mul_2exp(mpc_t res, mpc_t z, unsigned long int); +void mpc_div(mpc_t res, mpc_t z0, mpc_t z1); +void mpc_muli(mpc_t res, mpc_t z); +void mpc_sqr(mpc_t res, mpc_t z); +void mpc_inv(mpc_t res, mpc_t z); +size_t mpc_out_str(FILE *stream, int base, size_t n_digits, mpc_t op); +void mpc_pow_ui(mpc_t res, mpc_t z, unsigned int n); + +#pragma GCC visibility pop + +#endif //__PBC_MPC_H__ diff --git a/moon-abe/pbc-0.5.14/ecc/pairing.c b/moon-abe/pbc-0.5.14/ecc/pairing.c new file mode 100644 index 00000000..48a9c8c6 --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/pairing.c @@ -0,0 +1,283 @@ +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <string.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_poly.h" +#include "pbc_curve.h" +#include "pbc_param.h" +#include "pbc_pairing.h" +#include "pbc_memory.h" + +static int generic_is_almost_coddh(element_ptr a, element_ptr b, + element_ptr c, element_ptr d, pairing_t pairing) { + int res = 0; + element_t t0, t1; + + element_init(t0, pairing->GT); + element_init(t1, pairing->GT); + element_pairing(t0, a, d); + element_pairing(t1, b, c); + if (!element_cmp(t0, t1)) { + res = 1; + } else { + element_mul(t0, t0, t1); + if (element_is1(t0)) res = 1; + } + element_clear(t0); + element_clear(t1); + return res; +} + +static void generic_prod_pairings(element_ptr out, element_t in1[], + element_t in2[], int n, pairing_t pairing) { + pairing->map(out, in1[0], in2[0], pairing); + element_t tmp; + element_init_same_as(tmp, out); + int i; + for(i = 1; i < n; i++) { + pairing->map(tmp, in1[i], in2[i], pairing); + element_mul(out, out, tmp); + } + element_clear(tmp); +} + +static void phi_warning(element_ptr out, element_ptr in, pairing_ptr pairing) { + UNUSED_VAR(out); + UNUSED_VAR(in); + UNUSED_VAR(pairing); + printf("Phi() not implemented for this pairing type yet!\n"); +} + +static void default_option_set(struct pairing_s *pairing, char *key, char *value) { + UNUSED_VAR(pairing); + UNUSED_VAR(key); + UNUSED_VAR(value); +} + +static void default_pp_init(pairing_pp_t p, element_ptr in1, pairing_t pairing) { + UNUSED_VAR(pairing); + p->data = (void *) in1; +} + +static void default_pp_apply(element_ptr out, element_ptr in2, pairing_pp_t p) { + p->pairing->map(out, p->data, in2, p->pairing); +} + +static void default_pp_clear(pairing_pp_t p) { + UNUSED_VAR(p); +} + +void pairing_init_pbc_param(pairing_t pairing, pbc_param_ptr p) { + pairing->option_set = default_option_set; + pairing->pp_init = default_pp_init; + pairing->pp_clear = default_pp_clear; + pairing->pp_apply = default_pp_apply; + pairing->is_almost_coddh = generic_is_almost_coddh; + pairing->phi = phi_warning; + pairing->prod_pairings = generic_prod_pairings; + p->api->init_pairing(pairing, p->data); + pairing->G1->pairing = pairing; + pairing->G2->pairing = pairing; + pairing->GT->pairing = pairing; +} + +int pairing_init_set_buf(pairing_t pairing, const char *input, size_t len) { + pbc_param_t par; + int res = pbc_param_init_set_buf(par, input, len); + if (res) { + pbc_error("error initializing pairing"); + return 1; + } + pairing_init_pbc_param(pairing, par); + pbc_param_clear(par); + return 0; +} + +int pairing_init_set_str(pairing_t pairing, const char *s) { + return pairing_init_set_buf(pairing, s, 0); +} + +void pairing_clear(pairing_t pairing) { + pairing->clear_func(pairing); +} + +// TODO: it's most likely better to add extra stuff to field_t +// so no new data structures are needed to create mulitplicative subgroups. +// Additionally the same code could be used with curve_t +// Will consider it later, especially if timings turn out bad + +static void gt_out_info(FILE *out, field_ptr f) { + gmp_fprintf(out, "roots of unity, order %Zd, ", f->order); + field_out_info(out, f->data); +} + +static void gt_from_hash(element_ptr e, void *data, int len) { + pairing_ptr pairing = e->field->pairing; + element_from_hash(e->data, data, len); + pairing->finalpow(e); +} + +static void gt_random(element_ptr e) { + pairing_ptr pairing = e->field->pairing; + element_random(e->data); + pairing->finalpow(e); +} + +// multiplicative subgroup of a field +static void mulg_field_clear(field_t f) { + UNUSED_VAR(f); +} + +static void mulg_init(element_ptr e) { + e->data = pbc_malloc(sizeof(element_t)); + field_ptr f = e->field->data; + element_init(e->data, f); + element_set1(e->data); +} + +static void mulg_clear(element_ptr e) { + element_clear(e->data); + pbc_free(e->data); +} + +static void mulg_set(element_ptr x, element_t a) { + element_set(x->data, a->data); +} + +static int mulg_cmp(element_ptr x, element_t a) { + return element_cmp(x->data, a->data); +} + +static size_t mulg_out_str(FILE *stream, int base, element_ptr e) { + return element_out_str(stream, base, e->data); +} + +static void mulg_set_multiz(element_ptr e, multiz m) { + return element_set_multiz(e->data, m); +} + +static int mulg_set_str(element_ptr e, const char *s, int base) { + return element_set_str(e->data, s, base); +} + +static int mulg_item_count(element_ptr e) { + return element_item_count(e->data); +} + +static element_ptr mulg_item(element_ptr e, int i) { + return element_item(e->data, i); +} + +static int mulg_to_bytes(unsigned char *data, element_ptr e) { + return element_to_bytes(data, e->data); +} + +static int mulg_from_bytes(element_ptr e, unsigned char *data) { + return element_from_bytes(e->data, data); +} + +static int mulg_length_in_bytes(element_ptr e) { + return element_length_in_bytes(e->data); +} + +static int mulg_snprint(char *s, size_t n, element_ptr e) { + return element_snprint(s, n, e->data); +} + +static void mulg_to_mpz(mpz_ptr z, element_ptr e) { + element_to_mpz(z, e->data); +} + +static void mulg_set1(element_t e) { + element_set1(e->data); +} + +static void mulg_mul(element_ptr x, element_t a, element_t b) { + element_mul(x->data, a->data, b->data); +} + +static void mulg_div(element_ptr x, element_t a, element_t b) { + element_div(x->data, a->data, b->data); +} + +static void mulg_invert(element_ptr x, element_t a) { + element_invert(x->data, a->data); +} + +static int mulg_is1(element_ptr x) { + return element_is1(x->data); +} + +static void mulg_pow_mpz(element_t x, element_t a, mpz_t n) { + element_pow_mpz(x->data, a->data, n); +} + +static void mulg_pp_init(element_pp_t p, element_t in) { + p->data = pbc_malloc(sizeof(element_pp_t)); + element_pp_init(p->data, in->data); +} + +static void mulg_pp_clear(element_pp_t p) { + element_pp_clear(p->data); + pbc_free(p->data); +} + +static void mulg_pp_pow(element_t out, mpz_ptr power, element_pp_t p) { + element_pp_pow(out->data, power, p->data); +} + +void pairing_GT_init(pairing_ptr pairing, field_t f) { + field_ptr gt = pairing->GT; + field_init(gt); + gt->data = f; + f->pairing = pairing; + mpz_set(gt->order, pairing->r); + gt->field_clear = mulg_field_clear; + gt->out_info = gt_out_info; + + gt->init = mulg_init; + gt->clear = mulg_clear; + gt->set = mulg_set; + gt->cmp = mulg_cmp; + + gt->out_str = mulg_out_str; + gt->set_multiz = mulg_set_multiz; + gt->set_str = mulg_set_str; + gt->to_bytes = mulg_to_bytes; + gt->from_bytes = mulg_from_bytes; + gt->length_in_bytes = mulg_length_in_bytes; + gt->fixed_length_in_bytes = f->fixed_length_in_bytes; + gt->to_mpz = mulg_to_mpz; + gt->snprint = mulg_snprint; + gt->item = mulg_item; + gt->item_count = mulg_item_count; + + // TODO: set gt->nqr to something? + // set is_sqr, sqrt to something? + + // additive notation + gt->set0 = mulg_set1; + gt->add = mulg_mul; + gt->sub = mulg_div; + gt->mul_mpz = mulg_pow_mpz; + gt->neg = mulg_invert; + gt->is0 = mulg_is1; + + // multiplicative notation + gt->set1 = mulg_set1; + gt->mul = mulg_mul; + gt->div = mulg_div; + gt->pow_mpz = mulg_pow_mpz; + gt->invert = mulg_invert; + gt->is1 = mulg_is1; + gt->pp_init = mulg_pp_init; + gt->pp_clear = mulg_pp_clear; + gt->pp_pow = mulg_pp_pow; + + gt->random = gt_random; + gt->from_hash = gt_from_hash; +} diff --git a/moon-abe/pbc-0.5.14/ecc/param.c b/moon-abe/pbc-0.5.14/ecc/param.c new file mode 100644 index 00000000..4fa25eef --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/param.c @@ -0,0 +1,220 @@ +#include <stdio.h> +#include <stdlib.h> +#include <stdint.h> // for intptr_t +#include <string.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_memory.h" +#include "pbc_param.h" +#include "pbc_a_param.h" +#include "pbc_mnt.h" +#include "pbc_d_param.h" +#include "pbc_e_param.h" +#include "pbc_f_param.h" +#include "pbc_a1_param.h" +#include "pbc_g_param.h" +#include "pbc_i_param.h" + +#include "misc/symtab.h" +#include "ecc/param.h" + +// Parser that reads a bunch of strings and places them in a symbol table. +// TODO: Replace with Flex/Bison? + +enum { + token_none = 0, + token_langle, + token_langleslash, + token_rangle, + token_word, + token_eof, +}; + +struct token_s { + int type; + char *s; +}; +typedef struct token_s token_t[1]; +typedef struct token_s *token_ptr; + +// Reads next token from `input`. +// Returns 1 on reaching `end` (if not NULL) or '\0' is read, 0 otherwise. +static const char *token_get(token_t tok, const char *input, const char *end) { + char *buf; + int n = 32; + int i; + char c; + #define get() (((!end || input < end) && *input) ? (c = *input++, 0) : 1) + // Skip whitespace and comments. + for(;;) { + do { + if (get()) { + tok->type = token_eof; + return input; + } + } while (strchr(" \t\r\n", c)); + if (c == '#') { + do { + if (get()) { + tok->type = token_eof; + return input; + } + } while (c != '\n'); + } else break; + } + + tok->type = token_word; + pbc_free(tok->s); + buf = (char *) pbc_malloc(n); + i = 0; + for (;;) { + buf[i] = c; + i++; + if (i == n) { + n += 32; + buf = (char *) pbc_realloc(buf, n); + } + if (get() || strchr(" \t\r\n</>", c)) break; + } + buf[i] = 0; + tok->s = buf; + return input; + #undef get +} + +static void token_init(token_t tok) { + tok->type = token_none; + tok->s = NULL; +} + +static void token_clear(token_t tok) { + pbc_free(tok->s); +} + +static void read_symtab(symtab_t tab, const char *input, size_t limit) { + token_t tok; + const char *inputend = limit ? input + limit : NULL; + token_init(tok); + for (;;) { + input = token_get(tok, input, inputend); + if (tok->type != token_word) break; + char *key = pbc_strdup(tok->s); + input = token_get(tok, input, inputend); + if (tok->type != token_word) { + pbc_free(key); + break; + } + symtab_put(tab, pbc_strdup(tok->s), key); + pbc_free(key); + } + token_clear(tok); +} + +// These functions have hidden visibility (see header). + +void param_out_type(FILE *stream, char *s) { + fprintf(stream, "type %s\n", s); +} + +void param_out_mpz(FILE *stream, char *s, mpz_t z) { + fprintf(stream, "%s ", s); + mpz_out_str(stream, 0, z); + fprintf(stream, "\n"); +} + +void param_out_int(FILE *stream, char *s, int i) { + mpz_t z; + mpz_init(z); + + mpz_set_si(z, i); + param_out_mpz(stream, s, z); + mpz_clear(z); +} + +static const char *lookup(symtab_t tab, const char *key) { + if (!symtab_has(tab, key)) { + pbc_error("missing param: `%s'", key); + return NULL; + } + return symtab_at(tab, key); +} + +int lookup_mpz(mpz_t z, symtab_t tab, const char *key) { + const char *data = lookup(tab, key); + if (!data) { + pbc_error("missing param: `%s'", key); + return 1; + } + mpz_set_str(z, data, 0); + return 0; +} + +int lookup_int(int *n, symtab_t tab, const char *key) { + mpz_t z; + const char *data = lookup(tab, key); + if (!data) { + pbc_error("missing param: `%s'", key); + return 1; + } + mpz_init(z); + + mpz_set_str(z, data, 0); + *n = mpz_get_si(z); + mpz_clear(z); + + return 0; +} + +static int param_set_tab(pbc_param_t par, symtab_t tab) { + const char *s = lookup(tab, "type"); + + static struct { + char *s; + int (*fun)(pbc_param_ptr, symtab_t tab); + } funtab[] = { + { "a", pbc_param_init_a }, + { "d", pbc_param_init_d }, + { "e", pbc_param_init_e }, + { "f", pbc_param_init_f }, + { "g", pbc_param_init_g }, + { "a1", pbc_param_init_a1 }, + { "i", pbc_param_init_i }, + }; + + int res = 1; + if (s) { + unsigned int i; + for(i = 0; i < sizeof(funtab)/sizeof(*funtab); i++) { + if (!strcmp(s, funtab[i].s)) { + res = funtab[i].fun(par, tab); + if (res) pbc_error("bad pairing parameters"); + return res; + } + } + } + + pbc_error("unknown pairing type"); + return res; +} + +// Public functions: + +int pbc_param_init_set_str(pbc_param_t par, const char *input) { + symtab_t tab; + symtab_init(tab); + read_symtab(tab, input, 0); + int res = param_set_tab(par, tab); + symtab_forall_data(tab, pbc_free); + symtab_clear(tab); + return res; +} + +int pbc_param_init_set_buf(pbc_param_t par, const char *input, size_t len) { + symtab_t tab; + symtab_init(tab); + read_symtab(tab, input, len); + int res = param_set_tab(par, tab); + symtab_forall_data(tab, pbc_free); + symtab_clear(tab); + return res; +} diff --git a/moon-abe/pbc-0.5.14/ecc/param.h b/moon-abe/pbc-0.5.14/ecc/param.h new file mode 100644 index 00000000..36cbdd36 --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/param.h @@ -0,0 +1,23 @@ +// Input/output routines common to all pairing parameters. + +// Requires: +// * param.h +// * stdio.h +// * gmp.h +#ifndef __PARAM_UTILS_H__ +#define __PARAM_UTILS_H__ + +#pragma GCC visibility push(hidden) + +void param_out_type(FILE *stream, char *s); +void param_out_mpz(FILE *stream, char *s, mpz_t z); +void param_out_int(FILE *stream, char *s, int i); +// TODO: Replace with a stdarg function, e.g. +// err = lookup("ZZi", "p", "n", "l", p->p, p->n, &p->l); +struct symtab_s; // let "include/pbc.h" not include "misc/symtab.h" +int lookup_int(int *n, struct symtab_s *tab, const char *key); +int lookup_mpz(mpz_t z, struct symtab_s *tab, const char *key); + +#pragma GCC visibility pop + +#endif //__PARAM_UTILS_H__ diff --git a/moon-abe/pbc-0.5.14/ecc/singular.c b/moon-abe/pbc-0.5.14/ecc/singular.c new file mode 100644 index 00000000..95f00410 --- /dev/null +++ b/moon-abe/pbc-0.5.14/ecc/singular.c @@ -0,0 +1,447 @@ +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_curve.h" +#include "pbc_param.h" +#include "pbc_pairing.h" +#include "pbc_fp.h" +#include "pbc_memory.h" + +//TODO: Store as integer mod ring instead and convert at last minute? +struct point_s { + int inf_flag; + element_t x; + element_t y; +}; +typedef struct point_s *point_ptr; +typedef struct point_s point_t[1]; + +static void sn_init(element_ptr e) { + field_ptr f = e->field->data; + e->data = pbc_malloc(sizeof(point_t)); + point_ptr p = e->data; + element_init(p->x, f); + element_init(p->y, f); + p->inf_flag = 1; +} + +static void sn_clear(element_ptr e) { + point_ptr p = e->data; + element_clear(p->x); + element_clear(p->y); + pbc_free(e->data); +} + +static void sn_set0(element_ptr x) { + point_ptr p = x->data; + p->inf_flag = 1; +} + +static int sn_is0(element_ptr x) { + point_ptr p = x->data; + return p->inf_flag; +} + +//singular with node: y^2 = x^3 + x^2 +static void sn_random(element_t a) { + point_ptr p = a->data; + element_t t; + + element_init(t, p->x->field); + p->inf_flag = 0; + do { + element_random(p->x); + if (element_is0(p->x)) continue; + element_square(t, p->x); + element_add(t, t, p->x); + element_mul(t, t, p->x); + } while (!element_is_sqr(t)); + element_sqrt(p->y, t); + + element_clear(t); +} + +static inline void sn_double_no_check(point_ptr r, point_ptr p) { + element_t lambda, e0, e1; + + element_init(lambda, p->x->field); + element_init(e0, p->x->field); + element_init(e1, p->x->field); + //same point: double them + + //lambda = (3x^2 + 2x) / 2y + element_mul_si(lambda, p->x, 3); + element_set_si(e0, 2); + element_add(lambda, lambda, e0); + element_mul(lambda, lambda, p->x); + element_add(e0, p->y, p->y); + element_invert(e0, e0); + element_mul(lambda, lambda, e0); + //x1 = lambda^2 - 2x - 1 + element_add(e1, p->x, p->x); + element_square(e0, lambda); + element_sub(e0, e0, e1); + element_set_si(e1, 1); + element_sub(e0, e0, e1); + //y1 = (x - x1)lambda - y + element_sub(e1, p->x, e0); + element_mul(e1, e1, lambda); + element_sub(e1, e1, p->y); + + element_set(r->x, e0); + element_set(r->y, e1); + r->inf_flag = 0; + + element_clear(lambda); + element_clear(e0); + element_clear(e1); + return; +} + +static void sn_double(element_t c, element_t a) { + point_ptr r = c->data; + point_ptr p = a->data; + if (p->inf_flag) { + r->inf_flag = 1; + return; + } + if (element_is0(p->y)) { + r->inf_flag = 1; + return; + } + sn_double_no_check(r, p); +} + +static void sn_set(element_ptr c, element_ptr a) { + point_ptr r = c->data, p = a->data; + if (p->inf_flag) { + r->inf_flag = 1; + return; + } + r->inf_flag = 0; + element_set(r->x, p->x); + element_set(r->y, p->y); +} + +static void sn_add(element_t c, element_t a, element_t b) { + point_ptr r = c->data; + point_ptr p = a->data; + point_ptr q = b->data; + if (p->inf_flag) { + sn_set(c, b); + return; + } + if (q->inf_flag) { + sn_set(c, a); + return; + } + if (!element_cmp(p->x, q->x)) { + if (!element_cmp(p->y, q->y)) { + if (element_is0(p->y)) { + r->inf_flag = 1; + return; + } else { + sn_double_no_check(r, p); + return; + } + } + //points are inverses of each other + r->inf_flag = 1; + return; + } else { + element_t lambda, e0, e1; + + element_init(lambda, p->x->field); + element_init(e0, p->x->field); + element_init(e1, p->x->field); + + //lambda = (y2-y1)/(x2-x1) + element_sub(e0, q->x, p->x); + element_invert(e0, e0); + element_sub(lambda, q->y, p->y); + element_mul(lambda, lambda, e0); + //x3 = lambda^2 - x1 - x2 - 1 + element_square(e0, lambda); + element_sub(e0, e0, p->x); + element_sub(e0, e0, q->x); + element_set1(e1); + element_sub(e0, e0, e1); + //y3 = (x1-x3)lambda - y1 + element_sub(e1, p->x, e0); + element_mul(e1, e1, lambda); + element_sub(e1, e1, p->y); + + element_set(r->x, e0); + element_set(r->y, e1); + r->inf_flag = 0; + + element_clear(lambda); + element_clear(e0); + element_clear(e1); + } +} + +static void sn_invert(element_ptr c, element_ptr a) { + point_ptr r = c->data, p = a->data; + + if (p->inf_flag) { + r->inf_flag = 1; + return; + } + r->inf_flag = 0; + element_set(r->x, p->x); + element_neg(r->y, p->y); +} + +static void sn_field_clear(field_ptr c) { + UNUSED_VAR(c); +} + +/* TODO: Write a test program that uses these functions. + +// Nonsingular points on sn curves map to finite field elements via +// (x, y) --> (y + x)/(y - x) +// The reverse map is +// a --> (4a/(a-1)^2, 4a(a+1)/(a-1)^3) + +void sn_point_to_field(element_t out, point_ptr P) { + element_t e0, e1; + if (P->inf_flag) { + element_set1(out); + return; + } + element_init(e0, out->field); + element_init(e1, out->field); + element_add(e0, P->y, P->x); + element_sub(e1, P->y, P->x); + element_invert(e1, e1); + element_mul(out, e0, e1); + element_clear(e0); + element_clear(e1); +} + +static void sn_field_to_point(point_ptr P, element_t in) { + element_t e0, e1, e2; + + if (element_is1(in)) { + P->inf_flag = 1; + return; + } + element_init(e0, in->field); + element_init(e1, in->field); + element_init(e2, in->field); + + element_set1(e1); + element_sub(e0, in, e1); + element_invert(e0, e0); + + element_mul_si(e2, in, 4); + + element_add(P->y, in, e1); + + element_mul(e1, e0, e0); + element_mul(P->x, e1, e2); + element_mul(P->y, P->y, e2); + element_mul(P->y, P->y, e0); + element_mul(P->y, P->y, e1); + P->inf_flag = 0; + + element_clear(e0); + element_clear(e1); + element_clear(e2); +} +*/ + +static size_t sn_out_str(FILE *stream, int base, element_ptr a) { + point_ptr p = a->data; + size_t result, status; + if (p->inf_flag) { + if (EOF == fputc('O', stream)) return 0; + return 1; + } + result = element_out_str(stream, base, p->x); + if (!result) return 0; + if (EOF == fputc(' ', stream)) return 0; + status = element_out_str(stream, base, p->y); + if (!status) return 0; + return result + status + 1; +} + +void naive_generic_pow_mpz(element_ptr x, element_ptr a, mpz_ptr n); +void field_init_curve_singular_with_node(field_t c, field_t field) { + mpz_set(c->order, field->order); + c->data = (void *) field; + c->init = sn_init; + c->clear = sn_clear; + c->random = sn_random; + //c->from_x = cc_from_x; + //c->from_hash = cc_from_hash; + c->set = sn_set; + c->invert = c->neg = sn_invert; + c->square = c->doub = sn_double; + c->mul = c->add = sn_add; + c->set1 = c->set0 = sn_set0; + c->is1 = c->is0 = sn_is0; + c->mul_mpz = element_pow_mpz; + c->out_str = sn_out_str; + c->field_clear = sn_field_clear; +} + +//TODO: the following code is useless as the Tate pairing is degenerate on singular curves +static void sn_miller(element_t res, mpz_t q, element_t P, + element_ptr Qx, element_ptr Qy) { + //collate divisions + int m; + element_t v, vd; + element_t Z; + element_t a, b, c; + element_t e0, e1; + element_ptr Zx; + element_ptr Zy; + const element_ptr Px = curve_x_coord(P); + const element_ptr Py = curve_y_coord(P); + + #define do_vertical(e) \ + element_sub(e0, Qx, Zx); \ + element_mul(e, e, e0); + + //a = -slope_tangent(Z.x, Z.y); + //b = 1; + //c = -(Z.y + a * Z.x); + //but we multiply by 2*Z.y to avoid division + //a = -Zx * (Zx + Zx + Zx + 2) + //b = 2 * Zy + //c = -(2 Zy^2 + a Zx); + #define do_tangent(e) \ + element_double(e0, Zx); \ + element_add(a, Zx, e0); \ + element_set_si(e0, 2); \ + element_add(a, a, e0); \ + element_mul(a, a, Zx); \ + element_neg(a, a); \ + element_add(b, Zy, Zy); \ + element_mul(e0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, e0); \ + element_neg(c, c); \ + element_mul(e0, a, Qx); \ + element_mul(e1, b, Qy); \ + element_add(e0, e0, e1); \ + element_add(e0, e0, c); \ + element_mul(e, e, e0); + + //a = -(B.y - A.y) / (B.x - A.x); + //b = 1; + //c = -(A.y + a * A.x); + //but we'll multiply by B.x - A.x to avoid division + #define do_line(e) \ + element_sub(b, Px, Zx); \ + element_sub(a, Zy, Py); \ + element_mul(e0, b, Zy); \ + element_mul(c, a, Zx); \ + element_add(c, c, e0); \ + element_neg(c, c); \ + element_mul(e0, a, Qx); \ + element_mul(e1, b, Qy); \ + element_add(e0, e0, e1); \ + element_add(e0, e0, c); \ + element_mul(e, e, e0); + + element_init(a, Px->field); + element_init(b, Px->field); + element_init(c, Px->field); + element_init(e0, res->field); + element_init(e1, res->field); + + element_init(v, res->field); + element_init(vd, res->field); + element_init(Z, P->field); + + element_set(Z, P); + Zx = curve_x_coord(Z); + Zy = curve_y_coord(Z); + + element_set1(v); + element_set1(vd); + m = mpz_sizeinbase(q, 2) - 2; + + while(m >= 0) { + element_mul(v, v, v); + element_mul(vd, vd, vd); + do_tangent(v); + element_double(Z, Z); + do_vertical(vd); + if (mpz_tstbit(q, m)) { + do_line(v); + element_add(Z, Z, P); + do_vertical(vd); + } + m--; + } + #undef do_tangent + #undef do_vertical + #undef do_line + + element_invert(vd, vd); + element_mul(res, v, vd); + + element_clear(v); + element_clear(vd); + element_clear(Z); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(e0); + element_clear(e1); +} + +struct sn_pairing_data_s { + field_t Fq, Eq; +}; +typedef struct sn_pairing_data_s sn_pairing_data_t[1]; +typedef struct sn_pairing_data_s *sn_pairing_data_ptr; + +static void sn_pairing(element_ptr out, element_ptr in1, element_ptr in2, + pairing_t pairing) { + sn_pairing_data_ptr p = pairing->data; + element_ptr Q = in2; + element_t e0; + element_t R, QR; + element_init(R, p->Eq); + element_init(QR, p->Eq); + element_random(R); + element_init(e0, out->field); + element_add(QR, Q, R); + sn_miller(out, pairing->r, in1, curve_x_coord(QR), curve_y_coord(QR)); + sn_miller(e0, pairing->r, in1, curve_x_coord(R), curve_y_coord(R)); + element_invert(e0, e0); + element_mul(out, out, e0); + //element_pow_mpz(out, out, p->tateexp); + element_clear(R); + element_clear(QR); +} + +void pairing_init_singular_with_node(pairing_t pairing, mpz_t q) { + sn_pairing_data_ptr p; + + mpz_init(pairing->r); + mpz_sub_ui(pairing->r, q, 1); + field_init_fp(pairing->Zr, pairing->r); + pairing->map = sn_pairing; + + p = pairing->data = pbc_malloc(sizeof(sn_pairing_data_t)); + field_init_fp(p->Fq, q); + field_init_curve_singular_with_node(p->Eq, p->Fq); + + //mpz_init(p->tateexp); + //mpz_sub_ui(p->tateexp, p->Fq->order, 1); + //mpz_divexact(p->tateexp, p->tateexp, pairing->r); + + pairing->G2 = pairing->G1 = p->Eq; + + pairing_GT_init(pairing, p->Fq); +} diff --git a/moon-abe/pbc-0.5.14/example/Makefile.am b/moon-abe/pbc-0.5.14/example/Makefile.am new file mode 100644 index 00000000..a1b60dbc --- /dev/null +++ b/moon-abe/pbc-0.5.14/example/Makefile.am @@ -0,0 +1,16 @@ +CLEANFILES = *~ +maintainer-clean-local: + -rm -rf Makefile.in + +AM_CPPFLAGS = -I../include +LDADD = ../libpbc.la -lgmp + +noinst_PROGRAMS = bls hess joux paterson yuanli zhangkim zss + +bls_SOURCES = bls.c +hess_SOURCES = hess.c +joux_SOURCES = joux.c +paterson_SOURCES = paterson.c +yuanli_SOURCES = yuanli.c +zhangkim_SOURCES = zhangkim.c +zss_SOURCES = zss.c diff --git a/moon-abe/pbc-0.5.14/example/bls.c b/moon-abe/pbc-0.5.14/example/bls.c new file mode 100644 index 00000000..8b62a097 --- /dev/null +++ b/moon-abe/pbc-0.5.14/example/bls.c @@ -0,0 +1,133 @@ +// Boneh-Lynn-Shacham short signatures demo. +// +// See the PBC_sig library for a practical implementation. +// +// Ben Lynn +#include <pbc.h> +#include <pbc_test.h> + +int main(int argc, char **argv) { + pairing_t pairing; + element_t g, h; + element_t public_key, sig; + element_t secret_key; + element_t temp1, temp2; + + pbc_demo_pairing_init(pairing, argc, argv); + + element_init_G2(g, pairing); + element_init_G2(public_key, pairing); + element_init_G1(h, pairing); + element_init_G1(sig, pairing); + element_init_GT(temp1, pairing); + element_init_GT(temp2, pairing); + element_init_Zr(secret_key, pairing); + + printf("Short signature test\n"); + + //generate system parameters + element_random(g); + element_printf("system parameter g = %B\n", g); + + //generate private key + element_random(secret_key); + element_printf("private key = %B\n", secret_key); + + //compute corresponding public key + element_pow_zn(public_key, g, secret_key); + element_printf("public key = %B\n", public_key); + + //generate element from a hash + //for toy pairings, should check that pairing(g, h) != 1 + element_from_hash(h, "hashofmessage", 13); + element_printf("message hash = %B\n", h); + + //h^secret_key is the signature + //in real life: only output the first coordinate + element_pow_zn(sig, h, secret_key); + element_printf("signature = %B\n", sig); + + { + int n = pairing_length_in_bytes_compressed_G1(pairing); + //int n = element_length_in_bytes_compressed(sig); + int i; + unsigned char *data = pbc_malloc(n); + + element_to_bytes_compressed(data, sig); + printf("compressed = "); + for (i = 0; i < n; i++) { + printf("%02X", data[i]); + } + printf("\n"); + + element_from_bytes_compressed(sig, data); + element_printf("decompressed = %B\n", sig); + + pbc_free(data); + } + + //verification part 1 + element_pairing(temp1, sig, g); + element_printf("f(sig, g) = %B\n", temp1); + + //verification part 2 + //should match above + element_pairing(temp2, h, public_key); + element_printf("f(message hash, public_key) = %B\n", temp2); + + if (!element_cmp(temp1, temp2)) { + printf("signature verifies\n"); + } else { + printf("*BUG* signature does not verify *BUG*\n"); + } + + { + int n = pairing_length_in_bytes_x_only_G1(pairing); + //int n = element_length_in_bytes_x_only(sig); + int i; + unsigned char *data = pbc_malloc(n); + + element_to_bytes_x_only(data, sig); + printf("x-coord = "); + for (i = 0; i < n; i++) { + printf("%02X", data[i]); + } + printf("\n"); + + element_from_bytes_x_only(sig, data); + element_printf("de-x-ed = %B\n", sig); + + element_pairing(temp1, sig, g); + if (!element_cmp(temp1, temp2)) { + printf("signature verifies on first guess\n"); + } else { + element_invert(temp1, temp1); + if (!element_cmp(temp1, temp2)) { + printf("signature verifies on second guess\n"); + } else { + printf("*BUG* signature does not verify *BUG*\n"); + } + } + + pbc_free(data); + } + + //a random signature shouldn't verify + element_random(sig); + element_pairing(temp1, sig, g); + if (element_cmp(temp1, temp2)) { + printf("random signature doesn't verify\n"); + } else { + printf("*BUG* random signature verifies *BUG*\n"); + } + + element_clear(sig); + element_clear(public_key); + element_clear(secret_key); + element_clear(g); + element_clear(h); + element_clear(temp1); + element_clear(temp2); + pairing_clear(pairing); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/example/hess.c b/moon-abe/pbc-0.5.14/example/hess.c new file mode 100644 index 00000000..8d5a437e --- /dev/null +++ b/moon-abe/pbc-0.5.14/example/hess.c @@ -0,0 +1,109 @@ +/* + Hess ID-based signature. + Based on papers "F. Hess. Efficient Identity Based Signature Schemes Based on Pairings. SAC 2002, LNCS 2595, Springer-Verlag, 2000" + Contributed by Dmitry Kosolapov. +*/ + +#include <pbc.h> +#include <pbc_test.h> + +int main(int argc, char **argv) { + pairing_t pairing; + double time1, time2; + pbc_demo_pairing_init(pairing, argc, argv); + + element_t Qid, P, P1, Ppub, s, k, Did, r, v, u, t1, t3, t4, t5, t6, t7, t8; + mpz_t t2; + + if (!pairing_is_symmetric(pairing)) pbc_die("pairing must be symmetric"); + + mpz_init(t2); + element_init_G1(P, pairing); + element_init_G1(P1, pairing); + element_init_G1(Qid, pairing); + element_init_G1(Did, pairing); + element_init_G1(Ppub, pairing); + element_init_G1(t4, pairing); + element_init_G1(t5, pairing); + element_init_G1(u, pairing); + + element_init_Zr(s, pairing); + element_init_Zr(k, pairing); + element_init_Zr(v, pairing); + element_init_Zr(t3, pairing); + element_init_Zr(t8, pairing); + + element_init_GT(r, pairing); + element_init_GT(t1, pairing); + element_init_GT(t6, pairing); + element_init_GT(t7, pairing); + + time1 = pbc_get_time(); + printf("Hess ID-based signature protocol\n"); + printf("KEYGEN\n"); + element_random(P); + element_random(s); + element_random(Qid); + element_mul_zn(Ppub, P, s); + element_mul_zn(Did, Qid, s); + element_printf("Qid = %B\n", Qid); + element_printf("P = %B\n", P); + element_printf("Ppub = %B\n", Ppub); + + printf("SIGN\n"); + element_random(P1); + element_random(k); + element_pairing(t1, P1, P); + element_pow_zn(r, t1, k); + element_to_mpz(t2, r); + + //h3=h(m)*mpz(r); + element_from_hash(t3, "Message", 7); + element_mul_mpz(v, t3, t2); + element_mul_zn(t4, Did, v); + element_mul_zn(t5, P1, k); + element_add(u, t4, t5); + printf("Signature of message \"Message\" is:\n"); + element_printf("u = %B\n", u); + element_printf("v = %B\n", v); + + printf("VERIFY\n"); + element_pairing(t6, u, P); + element_neg(Ppub, Ppub); + element_pairing(t7, Qid, Ppub); + element_pow_zn(t7, t7, v); + element_mul(r, t6, t7); + element_to_mpz(t2, r); + element_from_hash(t3, "Message", 7); + element_mul_mpz(t8, t3, t2); + element_printf("h3(m,r) = %B\n", t8); + element_printf("v = %B\n", v); + if (!element_cmp(t8, v)) { + printf("Signature is valid!\n"); + } else { + printf("Signature is invalid!\n"); + } + time2 = pbc_get_time(); + printf("All time = %fs\n", time2 - time1); + + element_clear(P); + element_clear(P1); + element_clear(Qid); + element_clear(Did); + element_clear(Ppub); + element_clear(t4); + element_clear(t5); + element_clear(u); + element_clear(s); + element_clear(k); + element_clear(v); + element_clear(t3); + element_clear(t8); + element_clear(r); + element_clear(t1); + element_clear(t6); + element_clear(t7); + pairing_clear(pairing); + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/example/joux.c b/moon-abe/pbc-0.5.14/example/joux.c new file mode 100644 index 00000000..4c7a46b9 --- /dev/null +++ b/moon-abe/pbc-0.5.14/example/joux.c @@ -0,0 +1,80 @@ +/* + Joux one round protocol for tripartite Diffie-Hellman + Based on papers "A. Joux. A One Round Protocol for Tripartie Diffie-Hellman. Proceedings of ANTS 4. LNCS 1838, pp. 385-394, 2000." + Contributed by Dmitry Kosolapov. +*/ + +#include <pbc.h> +#include <pbc_test.h> + +int main(int argc, char **argv) { + pairing_t pairing; + double time1, time2; + element_t P, a, b, c, Ka, Kb, Kc, t1, t2, t3, t4, t5, t6; + pbc_demo_pairing_init(pairing, argc, argv); + if (!pairing_is_symmetric(pairing)) pbc_die("pairing must be symmetric"); + + element_init_G1(P, pairing); + element_init_G1(t1, pairing); + element_init_G1(t2, pairing); + element_init_G1(t3, pairing); + + element_init_Zr(a, pairing); + element_init_Zr(b, pairing); + element_init_Zr(c, pairing); + + element_init_GT(t4, pairing); + element_init_GT(t5, pairing); + element_init_GT(t6, pairing); + element_init_GT(Ka, pairing); + element_init_GT(Kb, pairing); + element_init_GT(Kc, pairing); + + time1 = pbc_get_time(); + printf("Joux key agreement between A, B and C.\n"); + element_random(P); + element_random(a); + element_random(b); + element_random(c); + element_mul_zn(t1, P, a); + printf("A sends B and C: aP\n"); + element_printf("aP = %B\n", t1); + element_mul_zn(t2, P, b); + printf("B sends A and C: bP\n"); + element_printf("bP = %B\n", t2); + element_mul_zn(t3, P, c); + printf("C sends A and B: cP\n"); + element_printf("cP = %B\n", t3); + + element_pairing(t4, t2, t3); + element_pow_zn(Ka, t4, a); + element_printf("Ka = %B\n", Ka); + element_pairing(t5, t1, t3); + element_pow_zn(Kb, t5, b); + element_printf("Kb = %B\n", Kb); + element_pairing(t6, t1, t2); + element_pow_zn(Kc, t6, c); + element_printf("Kc = %B\n", Kc); + + printf("Shared key K = Ka = Kb = Kc\n"); + time2 = pbc_get_time(); + printf("All time = %fs\n", time2 - time1); + + + element_clear(P); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(Ka); + element_clear(Kb); + element_clear(Kc); + element_clear(t1); + element_clear(t2); + element_clear(t3); + element_clear(t4); + element_clear(t5); + element_clear(t6); + pairing_clear(pairing); + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/example/paterson.c b/moon-abe/pbc-0.5.14/example/paterson.c new file mode 100644 index 00000000..4e21fc9f --- /dev/null +++ b/moon-abe/pbc-0.5.14/example/paterson.c @@ -0,0 +1,114 @@ +/* + Paterson ID-based signature. + Based on papers "K. G. Paterson. ID-Based Signatures from Pairings on Elliptic Curvers. Electron. Lett., Vol. 38". Available at http://eprint.iacr.org/2002/004." + Contributed by Dmitry Kosolapov. +*/ + +#include <pbc.h> +#include <pbc_test.h> + +int main(int argc, char **argv) { + pairing_t pairing; + double time1, time2; + element_t Ppub, s, P, R, k, S, Did, Qid, t1, t2, t4, t5, t6, t7, t8, + t9, t10, t11; + mpz_t t3; + mpz_init(t3); + pbc_demo_pairing_init(pairing, argc, argv); + if (!pairing_is_symmetric(pairing)) pbc_die("pairing must be symmetric"); + + element_init_G1(P, pairing); + element_init_G1(Ppub, pairing); + element_init_G1(Qid, pairing); + element_init_G1(Did, pairing); + element_init_G1(R, pairing); + element_init_G1(S, pairing); + element_init_G1(t2, pairing); + element_init_G1(t4, pairing); + element_init_G1(t5, pairing); + element_init_G1(t7, pairing); + + element_init_Zr(s, pairing); + element_init_Zr(k, pairing); + element_init_Zr(t1, pairing); + + element_init_GT(t6, pairing); + element_init_GT(t8, pairing); + element_init_GT(t9, pairing); + element_init_GT(t10, pairing); + element_init_GT(t11, pairing); + + time1 = pbc_get_time(); + printf("Paterson ID-based signature.\n"); + printf("KEYGEN\n"); + element_random(P); + element_random(s); + element_mul_zn(Ppub, P, s); + element_printf("P = %B\n", P); + element_printf("Ppub = %B\n", Ppub); + element_from_hash(Qid, "ID", 2); + element_printf("Qid = %B\n", Qid); + element_mul_zn(Did, Qid, s); + + printf("SIGN\n"); + element_random(k); + element_mul_zn(R, P, k); + element_from_hash(t1, "Message", 7); + element_mul_zn(t2, P, t1); + //H3(R)=mpz(R); +// int n = element_length_in_bytes(R); +// unsigned char *data=malloc(n); +// element_to_bytes(data, R); +// printf("data = %s\n", data); + element_to_mpz(t3, R); + element_mul_mpz(t4, Did, t3); + element_add(t5, t4, t2); + element_invert(k, k); + element_mul_zn(S, t5, k); + printf("Signature of message \"Message\" is:\n"); + element_printf("R = %B\n", R); + element_printf("S = %B\n", S); + + printf("VERIFY\n"); + element_from_hash(t1, "Message", 7); + element_mul_zn(t7, P, t1); + element_pairing(t6, P, t7); + element_pairing(t8, Ppub, Qid); + element_to_mpz(t3, R); + element_pow_mpz(t9, t8, t3); + element_printf("t8 = %B\n", t8); + element_printf("t9 = %B\n", t9); + element_mul(t10, t6, t9); + element_printf("t10 = %B\n", t10); + element_pairing(t11, R, S); + element_printf("[e(P, P)^H2(M)][e(Ppub, Qid)^H3(R)] = %B\n", t10); + element_printf("e(R, S) = %B\n", t11); + if (!element_cmp(t10, t11)) { + printf("Signature is valid!\n"); + } else { + printf("Signature is invalid!\n"); + } + time2 = pbc_get_time(); + printf("All time = %fs\n", time2 - time1); + + element_clear(P); + element_clear(Ppub); + element_clear(Qid); + element_clear(Did); + element_clear(R); + element_clear(t2); + element_clear(t4); + element_clear(t5); + element_clear(s); + element_clear(k); + element_clear(t1); + element_clear(t6); + element_clear(t7); + element_clear(t8); + element_clear(t9); + element_clear(t10); + element_clear(t11); + pairing_clear(pairing); + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/example/yuanli.c b/moon-abe/pbc-0.5.14/example/yuanli.c new file mode 100644 index 00000000..a3606377 --- /dev/null +++ b/moon-abe/pbc-0.5.14/example/yuanli.c @@ -0,0 +1,165 @@ +/* Contributed by Dmitry Kosolapov + * + * I haven't tested this much, and I'm personally not familiar with + * this particular cryptosystem. -Ben Lynn + */ +/* Here we represent the original Yuan-Li ID-Based Authenticated Key Agreement Protocol, 2005. + * This protocol has 2 stages: Setup and Extract. We represent them inside one code block with demo and time outputs. + */ + +/*Yuan-Li protocol description according to: +Quan Yuan and Songping Li, A New Efficient ID-Based Authenticated Key Agreement Protocol, Cryptology ePrint Archive, Report 2005/309 + +SETUP: +KGS chooses G1, G2, e: G1*G1 -> G2, P, H: {0, 1}* -> G1, s, H - some function for key calculation. +KGS calculates Ppub = s*P, publishes {G1, G2, e, P, Ppub, H1, H} and saves s as master key. + +EXTRACT: + +For the user with ID public key can be calculated with Qid = H1(ID). KGS generates bound public key Sid = s*Qid. +1. A chooses random a from Z_p*, calculates Ta = a*P. + A -> B: Ta +2. B chooses random b from Z_p*, calculates Tb = b*P. + B -> A: Tb +3. A calculates h = a*Tb = a*b*P and shared secret key Kab = e(a*Ppub + Sa, Tb + Qb) +4. B calculates h = b*Ta = a*b*P and shared secret key Kba = e(Ta + Qa, b*Ppub + Sb) +Session key is K = H(A, B, h, Kab). +H was not defined in the original article. +I've defined it as H(A, B, h, Kab)=e(h,H1(A)+H1(B))+Kab. +*/ + +#include <pbc.h> +#include <pbc_test.h> + +int main(int argc, char **argv) { + pairing_t pairing; + double t0, t1; + element_t s, a, b, P, Ppub, Qa, Qb, Sa, Sb, Ta, Tb, Kab, Kba, K, temp1, + temp2, temp3, temp4, temp5, h; + + pbc_demo_pairing_init(pairing, argc, argv); + if (!pairing_is_symmetric(pairing)) pbc_die("pairing must be symmetric"); + + element_init_Zr(s, pairing); + element_init_Zr(a, pairing); + element_init_Zr(b, pairing); + + element_init_G1(P, pairing); + element_init_G1(Ppub, pairing); + element_init_G1(Qa, pairing); + element_init_G1(Qb, pairing); + element_init_G1(Sa, pairing); + element_init_G1(Sb, pairing); + element_init_G1(Ta, pairing); + element_init_G1(Tb, pairing); + element_init_G1(temp1, pairing); + element_init_G1(temp2, pairing); + element_init_G1(temp3, pairing); + element_init_G1(h, pairing); + + element_init_GT(Kab, pairing); + element_init_GT(Kba, pairing); + element_init_GT(K, pairing); + element_init_GT(temp4, pairing); + element_init_GT(temp5, pairing); + + printf("Yuan-Li key agreement protocol\n"); + + t0 = pbc_get_time(); + +//Setup, system parameters generation + printf("SETUP STAGE\n"); + element_random(P); + element_printf("P = %B\n", P); + element_random(s); + element_mul_zn(Ppub, P, s); + element_printf("Ppub = %B\n", Ppub); + +//Extract, key calculation + printf("EXTRACT STAGE\n"); + element_from_hash(Qa, "A", 1); + element_from_hash(Qb, "B", 1); + element_mul_zn(Sa, Qa, s); + element_mul_zn(Sb, Qb, s); + element_printf("Sa = %B\n", Sa); + element_printf("Sb = %B\n", Sb); + + printf("-----1-----\n"); + + element_random(a); + element_mul_zn(Ta, P, a); + element_printf("A sends B Ta = %B\n", Ta); + + printf("-----2-----\n"); + + element_random(b); + element_mul_zn(Tb, P, b); + element_printf("B sends A Tb = %B\n", Tb); + + printf("-----3-----\n"); + + printf("A calculates h and Kab\n"); + element_mul_zn(h, Tb, a); + element_printf("h = %B\n", h); + element_mul_zn(temp1, Ppub, a); + element_add(temp1, temp1, Sa); + element_add(temp2, Tb, Qb); + element_pairing(Kab, temp1, temp2); + element_printf("Kab = %B\n", Kab); + + printf("-----4-----\n"); + + printf("B calculates h and Kba\n"); + element_mul_zn(h, Ta, b); + element_printf("h = %B\n", h); + element_add(temp1, Ta, Qa); + element_mul_zn(temp2, Ppub, b); + element_add(temp2, temp2, Sb); + element_pairing(Kba, temp1, temp2); + element_printf("Kba = %B\n", Kba); + + printf("-----FINAL-----\n"); + + element_add(temp3, Qa, Qb); + element_pairing(temp4, h, temp3); + + element_add(K, temp4, Kab); + element_printf("A has the key K = %B\n", K); + element_set(temp5, K); + + element_add(K, temp4, Kba); + element_printf("B has the key K = %B\n", K); + + if (!element_cmp(temp5, K)) + printf("The keys are the same. Start session...\n"); + else + printf("The keys aren't the same. Try again, please.\n"); + + element_clear(K); + element_clear(Kab); + element_clear(Kba); + element_clear(h); + element_clear(temp1); + element_clear(temp2); + element_clear(temp3); + element_clear(temp4); + element_clear(temp5); + element_clear(s); + element_clear(a); + element_clear(b); + element_clear(P); + element_clear(Ppub); + element_clear(Qa); + element_clear(Qb); + element_clear(Sa); + element_clear(Sb); + element_clear(Ta); + element_clear(Tb); + + t1 = pbc_get_time(); + + printf("All time = %fs\n", t1 - t0); + printf("Have a good day!\n"); + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/example/zhangkim.c b/moon-abe/pbc-0.5.14/example/zhangkim.c new file mode 100644 index 00000000..caaa0b9f --- /dev/null +++ b/moon-abe/pbc-0.5.14/example/zhangkim.c @@ -0,0 +1,139 @@ +/* + Zhang and Kim ID-based Blind Signature scheme. + Based on papers "F. Zang, K. Kim. ID-based Blind Signature and Ring Signature from Pairings. Advances in Cryptology - Asiacrypt 2002, LNCS Vol. 2510, Springer-Verlag, 2002". + Contributed by Dmitry Kosolapov. +*/ + +#include <pbc.h> +#include <pbc_test.h> + +int main(int argc, char **argv) { + pairing_t pairing; + double time1, time2; + element_t P, Ppub, s, R, Qid, Sid, a, b, r, c, S, negc, t1, t2, t3, t5, + t6, t7, t8, t9, t10, t11, t12, t14; + mpz_t t4, t13; + mpz_init(t4); + mpz_init(t13); + pbc_demo_pairing_init(pairing, argc, argv); + if (!pairing_is_symmetric(pairing)) pbc_die("pairing must be symmetric"); + element_init_G1(P, pairing); + element_init_G1(Ppub, pairing); + element_init_G1(Qid, pairing); + element_init_G1(Sid, pairing); + element_init_G1(R, pairing); + element_init_G1(S, pairing); + element_init_G1(t1, pairing); + element_init_G1(t2, pairing); + element_init_G1(t7, pairing); + element_init_G1(t8, pairing); + element_init_G1(t9, pairing); + + element_init_Zr(r, pairing); + element_init_Zr(s, pairing); + element_init_Zr(c, pairing); + element_init_Zr(a, pairing); + element_init_Zr(b, pairing); + element_init_Zr(negc, pairing); + element_init_Zr(t5, pairing); + element_init_Zr(t6, pairing); + element_init_Zr(t14, pairing); + + element_init_GT(t3, pairing); + element_init_GT(t10, pairing); + element_init_GT(t11, pairing); + element_init_GT(t12, pairing); + + time1 = pbc_get_time(); + printf("Zhang and Kim ID-based Blind Signature scheme\n"); + printf("SETUP\n"); + element_random(P); + element_random(s); + element_mul_zn(Ppub, P, s); + element_printf("P = %B\n", P); + element_printf("Ppub = %B\n", Ppub); + + printf("EXTRACT\n"); + element_from_hash(Qid, "ID", 2); + element_mul_zn(Sid, Qid, s); + element_printf("Public key Qid = %B\n", Qid); + element_printf("Private key Sid = %B\n", Sid); + + printf("BLIND SIGNATURE ISSUING PROTOCOL\n"); + element_random(r); + element_mul_zn(R, P, r); + printf("Signer sends R = rP to user\n"); + element_printf("R = %B\n", R); + printf("Blinding\n"); + element_random(a); + element_random(b); + element_mul_zn(t1, P, a); + element_add(t1, R, t1); + element_mul_zn(t2, Qid, b); + element_add(t2, t2, t1); + element_pairing(t3, t2, Ppub); + element_to_mpz(t4, t3); + element_from_hash(t5, "Message", 7); + element_mul_mpz(t6, t5, t4); + element_add(c, t6, b); + printf("User sends c to signer\n"); + element_printf("c = %B\n", c); + printf("Signing\n"); + element_mul_zn(t7, Ppub, r); + element_mul_zn(t8, Sid, c); + element_add(S, t8, t7); + printf("Signer sends S\n"); + element_printf("S = %B\n", S); + printf("Unblinding\n"); + element_mul_zn(t9, Ppub, a); + element_add(S, S, t9); + element_sub(c, c, b); + printf("Blind Signature of message \"Message\" is:\n"); + element_printf("S1 = %B\n", S); + element_printf("c1 = %B\n", c); + + printf("VERIFICATION\n"); + element_pairing(t10, Qid, Ppub); + element_neg(negc, c); + element_pow_zn(t10, t10, negc); + element_pairing(t11, S, P); + element_mul(t12, t11, t10); + element_to_mpz(t13, t12); + element_from_hash(t5, "Message", 7); + element_mul_mpz(t14, t5, t13); + element_printf("c1 = %B\n", c); + element_printf("H(m, [e(S1, P)][e(Qid, Ppub)^(-c1)]) = %B\n", t14); + + if (!element_cmp(t14, c)) printf("Signature is valid\n"); + else printf("Signature is invalid\n"); + time2 = pbc_get_time(); + printf("All time = %fs\n", time2 - time1); + + element_clear(P); + element_clear(Ppub); + element_clear(Qid); + element_clear(Sid); + element_clear(R); + element_clear(S); + element_clear(r); + element_clear(s); + element_clear(c); + element_clear(a); + element_clear(b); + element_clear(negc); + element_clear(t1); + element_clear(t2); + element_clear(t3); + element_clear(t5); + element_clear(t6); + element_clear(t14); + element_clear(t7); + element_clear(t8); + element_clear(t9); + element_clear(t10); + element_clear(t11); + element_clear(t12); + pairing_clear(pairing); + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/example/zss.c b/moon-abe/pbc-0.5.14/example/zss.c new file mode 100644 index 00000000..5020a3a6 --- /dev/null +++ b/moon-abe/pbc-0.5.14/example/zss.c @@ -0,0 +1,70 @@ +/* + ZSS Short Signature Scheme from Bilinear Pairing. + Based on papers "F. Zhang, R. Safavi-Naini and W. Susilo. An Efficient Signature Scheme from Bilinear Pairings and it's Applications. PKC 2004". + Contributed by Dmitry Kosolapov. +*/ + +#include <pbc.h> +#include <pbc_test.h> + +int main(int argc, char **argv) { + pairing_t pairing; + pbc_demo_pairing_init(pairing, argc, argv); + if (!pairing_is_symmetric(pairing)) pbc_die("pairing must be symmetric"); + double time1, time2; + element_t P, Ppub, x, S, H, t1, t2, t3, t4; + element_init_Zr(x, pairing); + element_init_Zr(H, pairing); + element_init_Zr(t1, pairing); + + element_init_G1(S, pairing); + element_init_G1(P, pairing); + element_init_G1(Ppub, pairing); + element_init_G1(t2, pairing); + + element_init_GT(t3, pairing); + element_init_GT(t4, pairing); + + printf("ZSS short signature schema\n"); + printf("KEYGEN\n"); + time1 = pbc_get_time(); + element_random(x); + element_random(P); + element_mul_zn(Ppub, P, x); + element_printf("P = %B\n", P); + element_printf("x = %B\n", x); + element_printf("Ppub = %B\n", Ppub); + + printf("SIGN\n"); + element_from_hash(H, "Message", 7); + element_add(t1, H, x); + element_invert(t1, t1); + element_mul_zn(S, P, t1); + printf("Signature of message \"Message\" is:\n"); + element_printf("S = %B\n", S); + + printf("VERIFY\n"); + element_from_hash(H, "Message", 7); + element_mul_zn(t2, P, H); + element_add(t2, t2, Ppub); + element_pairing(t3, t2, S); + element_pairing(t4, P, P); + element_printf("e(H(m)P + Ppub, S) = %B\n", t3); + element_printf("e(P, P) = %B\n", t4); + if (!element_cmp(t3, t4)) printf("Signature is valid\n"); + else printf("Signature is invalid\n"); + time2 = pbc_get_time(); + printf("All time = %fs\n", time2 - time1); + element_clear(P); + element_clear(Ppub); + element_clear(x); + element_clear(S); + element_clear(H); + element_clear(t1); + element_clear(t2); + element_clear(t3); + element_clear(t4); + pairing_clear(pairing); + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/gen/Makefile.am b/moon-abe/pbc-0.5.14/gen/Makefile.am new file mode 100644 index 00000000..773d31d9 --- /dev/null +++ b/moon-abe/pbc-0.5.14/gen/Makefile.am @@ -0,0 +1,18 @@ +CLEANFILES = *~ +maintainer-clean-local: + -rm -rf Makefile.in + +AM_CPPFLAGS = -I../include +LDADD = ../libpbc.la -lgmp + +noinst_PROGRAMS = gena1param genaparam gendparam geneparam genfparam gengparam hilbertpoly listmnt listfreeman + +gena1param_SOURCES = gena1param.c +genaparam_SOURCES = genaparam.c +gendparam_SOURCES = gendparam.c +geneparam_SOURCES = geneparam.c +genfparam_SOURCES = genfparam.c +gengparam_SOURCES = gengparam.c +hilbertpoly_SOURCES = hilbertpoly.c +listmnt_SOURCES = listmnt.c +listfreeman_SOURCES = listfreeman.c diff --git a/moon-abe/pbc-0.5.14/gen/gena1param.c b/moon-abe/pbc-0.5.14/gen/gena1param.c new file mode 100644 index 00000000..3472beac --- /dev/null +++ b/moon-abe/pbc-0.5.14/gen/gena1param.c @@ -0,0 +1,27 @@ +#include "pbc.h" + +int main(void) +{ + mpz_t p, q, N; + + mpz_init(p); + mpz_init(q); + mpz_init(N); + + // In a real application, p and q must be stored somewhere safe. + pbc_mpz_randomb(p, 512); + pbc_mpz_randomb(q, 512); + + mpz_nextprime(p, p); + mpz_nextprime(q, q); + mpz_mul(N, p, q); + + pbc_param_t param; + pbc_param_init_a1_gen(param, N); + pbc_param_out_str(stdout, param); + pbc_param_clear(param); + mpz_clear(p); + mpz_clear(q); + mpz_clear(N); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/gen/genalldparams b/moon-abe/pbc-0.5.14/gen/genalldparams new file mode 100644 index 00000000..22cfa993 --- /dev/null +++ b/moon-abe/pbc-0.5.14/gen/genalldparams @@ -0,0 +1,15 @@ +#!/bin/bash +# Generates all type D curve parameters within certain limits +# +# Use with the output of listmnt + +function myfunc { + until [ -z "$1" ] + do + filename=d$1-$2-$3.param + gen/gendparam $1 > $filename + shift 3 + done +} + +myfunc `awk -F, '{ if (($2 >= 80) && ($2 <= 300) && ($3 >= 80)) { print $1 $2 $3; } }'` diff --git a/moon-abe/pbc-0.5.14/gen/genaparam.c b/moon-abe/pbc-0.5.14/gen/genaparam.c new file mode 100644 index 00000000..c589e5a3 --- /dev/null +++ b/moon-abe/pbc-0.5.14/gen/genaparam.c @@ -0,0 +1,21 @@ +// Generate type A pairings. +// Usage: +// genaparam [RBITS [QBITS]] +// +// RBITS +// The number of bits in r, the order of the subgroup G1. Default is 160. +// QBITS +// The number of bits in q, the order of the full group. Default is 512. + +#include "pbc.h" + +int main(int argc, char **argv) { + int rbits = argc > 1 ? atoi(argv[1]) : 160; + int qbits = argc > 2 ? atoi(argv[2]) : 512; + + pbc_param_t par; + pbc_param_init_a_gen(par, rbits, qbits); + pbc_param_out_str(stdout, par); + pbc_param_clear(par); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/gen/gendparam.c b/moon-abe/pbc-0.5.14/gen/gendparam.c new file mode 100644 index 00000000..8506e52a --- /dev/null +++ b/moon-abe/pbc-0.5.14/gen/gendparam.c @@ -0,0 +1,35 @@ +// Generate MNT curve(s) for a given D. + +#include <stdint.h> // for intptr_t +#include "pbc.h" +#include "pbc_utils.h" // for UNUSED_VAR + +int generate(pbc_cm_t cm, void *data) { + UNUSED_VAR(data); + pbc_param_t param; + pbc_info("gendparam: computing Hilbert polynomial and finding roots..."); + pbc_param_init_d_gen(param, cm); + pbc_info("gendparam: bits in q = %zu\n", mpz_sizeinbase(cm->q, 2)); + pbc_param_out_str(stdout, param); + pbc_param_clear(param); + return 1; +} + +int main(int argc, char **argv) { + int D = 9563; + + if (argc > 1) { + int m; + D = atoi(argv[1]); + m = D % 4; + if (D <= 0 || m == 1 || m == 2) { + pbc_die("D must be 0 or 3 mod 4 and positive"); + } + } + pbc_info("Using D = %d\n", D); + + if (!pbc_cm_search_d(generate, NULL, D, 500)) { + pbc_die("no suitable curves for this D"); + } + return 0; +} diff --git a/moon-abe/pbc-0.5.14/gen/geneparam.c b/moon-abe/pbc-0.5.14/gen/geneparam.c new file mode 100644 index 00000000..a8109127 --- /dev/null +++ b/moon-abe/pbc-0.5.14/gen/geneparam.c @@ -0,0 +1,21 @@ +// Generate type E pairings. +// Usage: +// geneparam [RBITS [QBITS]] +// +// RBITS +// The number of bits in r, the order of the subgroup G1. Default is 160. +// QBITS +// The number of bits in q, the order of the full group. Default is 1024. + +#include "pbc.h" + +int main(int argc, char **argv) { + int rbits = argc > 1 ? atoi(argv[1]) : 160; + int qbits = argc > 2 ? atoi(argv[2]) : 1024; + + pbc_param_t par; + pbc_param_init_e_gen(par, rbits, qbits); + pbc_param_out_str(stdout, par); + pbc_param_clear(par); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/gen/genfparam.c b/moon-abe/pbc-0.5.14/gen/genfparam.c new file mode 100644 index 00000000..d7118dad --- /dev/null +++ b/moon-abe/pbc-0.5.14/gen/genfparam.c @@ -0,0 +1,24 @@ +// Generate type F pairings. +// Usage: +// genaparam [BITS] +// +// BITS +// The number of bits in r, the order of the subgroup G1. Default is 160. + +#include "pbc.h" + +int main(int argc, char **argv) { + int bits = 160; + if (argc > 1) { + bits = atoi(argv[1]); + if (bits < 1) { + pbc_die("Usage: %s [BITS]", argv[0]); + } + } + pbc_param_t fp; + pbc_param_init_f_gen(fp, bits); + pbc_param_out_str(stdout, fp); + pbc_param_clear(fp); + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/gen/gengparam.c b/moon-abe/pbc-0.5.14/gen/gengparam.c new file mode 100644 index 00000000..064f2b76 --- /dev/null +++ b/moon-abe/pbc-0.5.14/gen/gengparam.c @@ -0,0 +1,33 @@ +// Generate Freeman curves with a given discriminant. +#include "pbc.h" + +int generate(pbc_cm_t cm, void *data) { + UNUSED_VAR(data); + pbc_param_t param; + + pbc_info("gengparam: computing Hilbert polynomial and finding roots..."); + pbc_param_init_g_gen(param, cm); + pbc_info("gengparam: bits in q = %zu", mpz_sizeinbase(cm->q, 2)); + pbc_param_out_str(stdout, param); + pbc_param_clear(param); + return 1; +} + +int main(int argc, char **argv) { + int D = 35707; + + if (argc > 1) { + int m; + D = atoi(argv[1]); + m = D % 120; + if (D <= 0 || (m != 43 && m != 67)) { + pbc_die("D must be 43 or 67 mod 120 and positive"); + } + } + pbc_info("Using D = %d", D); + + if (!pbc_cm_search_g(generate, NULL, D, 500)) { + pbc_die("No suitable curves for this D"); + } + return 0; +} diff --git a/moon-abe/pbc-0.5.14/gen/hilbertpoly.c b/moon-abe/pbc-0.5.14/gen/hilbertpoly.c new file mode 100644 index 00000000..2e73af4e --- /dev/null +++ b/moon-abe/pbc-0.5.14/gen/hilbertpoly.c @@ -0,0 +1,57 @@ +// Prints Hilbert polynomials H_D(X) +// +// Usage: hilbertpoly [LOWER [UPPER]] +// +// LOWER: +// Lower limit of D. Defaults to 3. +// UPPER: +// Upper limit of D. Defaults to LOWER. +// +// e.g. $ hilbertpoly 3 1000000 +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> //for atoi, exit +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_hilbert.h" + +static void xpow(int degree) { + if (degree == 1) { + printf("X"); + } else if (degree) { + printf("X^%d", degree); + } +} + +int main(int argc, char **argv) { + int D = argc > 1 ? atoi(argv[1]) : 3; + if (D <= 0) pbc_die("D must be positive."); + + int Dlimit = argc > 2 ? atoi(argv[2]) : D; + + for(; D <= Dlimit; D++) { + mpz_t *coefflist; + int m = D % 4; + if (m == 1 || m == 2) continue; + printf("D = %d\n", D); + + int n = pbc_hilbert(&coefflist, D); + + printf(" "); + xpow(n - 1); + printf("\n"); + int i; + for (i = n - 2; i >= 0; i--) { + if (mpz_sgn(coefflist[i]) >= 0) { + printf("+"); + } + mpz_out_str(stdout, 0, coefflist[i]); + xpow(i); + printf("\n"); + } + pbc_hilbert_free(coefflist, n); + } + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/gen/listfreeman.c b/moon-abe/pbc-0.5.14/gen/listfreeman.c new file mode 100644 index 00000000..f3f18cc4 --- /dev/null +++ b/moon-abe/pbc-0.5.14/gen/listfreeman.c @@ -0,0 +1,38 @@ +// List discriminant and bits in r and q for type G pairings that may be +// suitable for cryptography. + +#include "pbc.h" + +int show(pbc_cm_t cm, void *data) { + unsigned int D = * (unsigned *) data; + int qbits, rbits; + qbits = mpz_sizeinbase(cm->q, 2); + rbits = mpz_sizeinbase(cm->r, 2); + printf("%d, %d, %d\n", D, qbits, rbits); + fflush(stdout); + return 0; +} + +void try(int tryD) { + pbc_cm_search_g(show, &tryD, tryD, 500); +} + +int main(int argc, char **argv) { + unsigned int D = 0; + + if (argc > 1) { + D = atoi(argv[1]); + if (D % 120) { + pbc_die("D must be multiple of 120"); + } + } + + printf("D < %u, bits in q, bits in r\n", 1000000000); + while (D < 1000000000) { + try(D + 43); + try(D + 67); + D+=120; + } + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/gen/listmnt.c b/moon-abe/pbc-0.5.14/gen/listmnt.c new file mode 100644 index 00000000..a9160eab --- /dev/null +++ b/moon-abe/pbc-0.5.14/gen/listmnt.c @@ -0,0 +1,41 @@ +// For different discriminants D, list group size and representation size +// of resulting MNT curves. + +#include "pbc.h" + +int consider(pbc_cm_t cm, void *data) { + unsigned int D = * (unsigned *) data; + int qbits, rbits; + qbits = mpz_sizeinbase(cm->q, 2); + rbits = mpz_sizeinbase(cm->r, 2); + printf("%d, %d, %d\n", D, qbits, rbits); + fflush(stdout); + return 0; +} + +void try(unsigned int D) { + pbc_cm_search_d(consider, &D, D, 500); +} + +int main(int argc, char **argv) +{ + unsigned int D = 7; + + if (argc > 1) { + D = atoi(argv[1]); + if (D < 7 || (D % 4) != 3) { + pbc_die("D must be 3 mod 4 and at least 7"); + } + } + + const unsigned int maxD = 1000000000; + printf("D < %u, bits in q, bits in r\n", maxD); + while (D < maxD) { + try(D); + D++; + try(D); + D+=3; + } + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/guru/19.c b/moon-abe/pbc-0.5.14/guru/19.c new file mode 100644 index 00000000..5e225565 --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/19.c @@ -0,0 +1,373 @@ +/* + * Toy example of a field where the Tate pairing can be used + * but the Weil pairing cannot. + * + * Consider the curve E: y^2 = x^3 + x + 6 over F_19: + * E(F_19) is a cyclic group of order 18. + * Thus E[3] is not contained in F_19 + * (it turns out E[3] is contained in F_19^3). + * + * Hence the Weil pairing cannot be defined over F_19 + * However, F_19 contains the cube roots of unity + * so we can compute the Tate pairing + */ + +/* + * P = (12,13) generates a group of order 3: + * <(12,13)> = {(12,13), (12,6), O} + * e(P,P) = 7, so we have the isomorphism + * <(12,13)> = <7> (in F_19^*) + * + * Similarly P = (4, 6) generates a group of order 9, and we find + * <(4,6)> = <4> + * + * P = (0, 5) generates all of E(F_19) + * Miller's algorithm will not allow us to calculate e(P, P) without + * first extending F_19. + * Instead of extending, we could manipulate rational functions since + * 19 is small enough that an explicit expression of f_P can be found. + */ + +#include "pbc.h" +#include "pbc_fp.h" +#include "pbc_fieldquadratic.h" + +static void miller(element_t res, element_t P, element_ptr QR, element_ptr R, int n) { + // Collate divisions. + int m; + element_t v, vd; + element_t Z; + element_t a, b, c; + const element_ptr cca = curve_a_coeff(P); + const element_ptr Px = curve_x_coord(P); + const element_ptr Py = curve_y_coord(P); + element_t e0, e1; + mpz_t q; + element_ptr Zx, Zy; + const element_ptr numx = curve_x_coord(QR); + const element_ptr numy = curve_y_coord(QR); + const element_ptr denomx = curve_x_coord(R); + const element_ptr denomy = curve_y_coord(R); + + void do_vertical(element_t e, element_t edenom) + { + element_sub(e0, numx, Zx); + element_mul(e, e, e0); + + element_sub(e0, denomx, Zx); + element_mul(edenom, edenom, e0); + } + + void do_tangent(element_t e, element_t edenom) + { + //a = -slope_tangent(A.x, A.y); + //b = 1; + //c = -(A.y + a * A.x); + //but we multiply by 2*A.y to avoid division + + //a = -Ax * (Ax + Ax + Ax + twicea_2) - a_4; + //Common curves: a2 = 0 (and cc->a is a_4), so + //a = -(3 Ax^2 + cc->a) + //b = 2 * Ay + //c = -(2 Ay^2 + a Ax); + + if (element_is0(Zy)) { + do_vertical(e, edenom); + return; + } + element_square(a, Zx); + element_mul_si(a, a, 3); + element_add(a, a, cca); + element_neg(a, a); + + element_add(b, Zy, Zy); + + element_mul(e0, b, Zy); + element_mul(c, a, Zx); + element_add(c, c, e0); + element_neg(c, c); + + element_mul(e0, a, numx); + element_mul(e1, b, numy); + element_add(e0, e0, e1); + element_add(e0, e0, c); + element_mul(e, e, e0); + + element_mul(e0, a, denomx); + element_mul(e1, b, denomy); + element_add(e0, e0, e1); + element_add(e0, e0, c); + element_mul(edenom, edenom, e0); + } + + void do_line(element_ptr e, element_ptr edenom) + { + if (!element_cmp(Zx, Px)) { + if (!element_cmp(Zy, Py)) { + do_tangent(e, edenom); + } else { + do_vertical(e, edenom); + } + return; + } + + element_sub(b, Px, Zx); + element_sub(a, Zy, Py); + element_mul(c, Zx, Py); + element_mul(e0, Zy, Px); + element_sub(c, c, e0); + + element_mul(e0, a, numx); + element_mul(e1, b, numy); + element_add(e0, e0, e1); + element_add(e0, e0, c); + element_mul(e, e, e0); + + element_mul(e0, a, denomx); + element_mul(e1, b, denomy); + element_add(e0, e0, e1); + element_add(e0, e0, c); + element_mul(edenom, edenom, e0); + } + + element_init(a, res->field); + element_init(b, res->field); + element_init(c, res->field); + element_init(e0, res->field); + element_init(e1, res->field); + + element_init(v, res->field); + element_init(vd, res->field); + element_init(Z, P->field); + + element_set(Z, P); + Zx = curve_x_coord(Z); + Zy = curve_y_coord(Z); + + element_set1(v); + element_set1(vd); + + mpz_init(q); + mpz_set_ui(q, n); + m = mpz_sizeinbase(q, 2) - 2; + + while(m >= 0) { + element_square(v, v); + element_square(vd, vd); + do_tangent(v, vd); + element_double(Z, Z); + do_vertical(vd, v); + + if (mpz_tstbit(q, m)) { + do_line(v, vd); + element_add(Z, Z, P); + if (m) { + do_vertical(vd, v); + } + } + m--; + } + + mpz_clear(q); + + element_invert(vd, vd); + element_mul(res, v, vd); + + element_clear(v); + element_clear(vd); + element_clear(Z); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(e0); + element_clear(e1); +} + +static void tate_3(element_ptr out, element_ptr P, element_ptr Q, element_ptr R) { + mpz_t six; + + mpz_init(six); + mpz_set_ui(six, 6); + element_t QR; + element_t e0; + + element_init(QR, P->field); + element_init(e0, out->field); + + element_add(QR, Q, R); + + //for subgroup size 3, -2P = P, hence + //the tangent line at P has divisor 3(P) - 3(O) + + miller(out, P, QR, R, 3); + + element_pow_mpz(out, out, six); + element_clear(QR); + element_clear(e0); + mpz_clear(six); +} + +static void tate_9(element_ptr out, element_ptr P, element_ptr Q, element_ptr R) { + element_t QR; + element_init(QR, P->field); + + element_add(QR, Q, R); + + miller(out, P, QR, R, 9); + + element_square(out, out); + + element_clear(QR); +} + +static void tate_18(element_ptr out, element_ptr P, element_ptr Q, element_ptr R, element_ptr S) { + mpz_t pow; + element_t PR; + element_t QS; + element_init(PR, P->field); + element_init(QS, P->field); + element_t outd; + + element_init(outd, out->field); + + mpz_init(pow); + mpz_set_ui(pow, (19*19-1)/18); + + element_add(PR, P, R); + element_add(QS, Q, S); + + if (element_is0(QS)) { + element_t S2; + element_init(S2, P->field); + element_double(S2, S); + miller(out, PR, S, S2, 18); + miller(outd, R, S, S2, 18); + element_clear(S2); + } else { + miller(out, PR, QS, S, 18); + miller(outd, R, QS, S, 18); + } + + element_clear(PR); + element_clear(QS); + + element_invert(outd, outd); + element_mul(out, out, outd); + element_pow_mpz(out, out, pow); + + element_clear(outd); + mpz_clear(pow); +} + +int main(void) { + field_t c; + field_t Z19; + element_t P, Q, R; + mpz_t q, z; + element_t a, b; + int i; + + field_t Z19_2; + field_t c2; + element_t P2, Q2, R2; + element_t a2; + + mpz_init(q); + mpz_init(z); + + mpz_set_ui(q, 19); + + field_init_fp(Z19, q); + element_init(a, Z19); + element_init(b, Z19); + + element_set_si(a, 1); + element_set_si(b, 6); + + mpz_set_ui(q, 18); + field_init_curve_ab(c, a, b, q, NULL); + element_init(P, c); + element_init(Q, c); + element_init(R, c); + + printf("Y^2 = X^3 + X + 6 over F_19\n"); + //(0,+/-5) is a generator + element_set0(a); + curve_from_x(R, a); + + for (i=1; i<19; i++) { + mpz_set_si(z, i); + element_mul_mpz(Q, R, z); + element_printf("%dR = %B\n", i, Q); + } + + mpz_set_ui(z, 6); + element_mul_mpz(P, R, z); + //P has order 3 + element_printf("P = %B\n", P); + + for (i=1; i<=3; i++) { + mpz_set_si(z, i); + element_mul_mpz(Q, R, z); + tate_3(a, P, Q, R); + element_printf("e_3(P,%dR) = %B\n", i, a); + } + + element_double(P, R); + //P has order 9 + element_printf("P = %B\n", P); + for (i=1; i<=9; i++) { + mpz_set_si(z, i); + //we're supposed to use multiples of R + //but 2R works just as well and it allows us + //to use R as the offset every time + element_mul_mpz(Q, P, z); + tate_9(a, P, Q, R); + element_printf("e_9(P,%dP) = %B\n", i, a); + } + + //to do the pairing on all of E(F_19) we need to move to F_19^2 + //or compute the rational function explicitly + printf("moving to F_19^2\n"); + field_init_fi(Z19_2, Z19); + + //don't need to tell it the real order + field_init_curve_ab_map(c2, c, element_field_to_fi, Z19_2, q, NULL); + element_init(P2, c2); + element_init(Q2, c2); + element_init(R2, c2); + + element_init(a2, Z19_2); + element_set0(a2); + curve_from_x(P2, a2); + + element_random(R2); + + element_printf("P = %B\n", P2); + + for (i=1; i<=18; i++) { + mpz_set_si(z, i); + element_mul_mpz(Q2, P2, z); + tate_18(a2, P2, Q2, R2, P2); + element_printf("e_18(P,%dP) = %B\n", i, a2); + } + + element_clear(P2); + element_clear(Q2); + element_clear(R2); + element_clear(a2); + field_clear(c2); + field_clear(Z19_2); + + field_clear(c); + element_clear(a); + element_clear(b); + element_clear(P); + element_clear(Q); + element_clear(R); + field_clear(Z19); + + mpz_clear(q); + mpz_clear(z); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/guru/59.c b/moon-abe/pbc-0.5.14/guru/59.c new file mode 100644 index 00000000..d543a757 --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/59.c @@ -0,0 +1,783 @@ +// Step-by-step Weil and Tate pairings. +// For my thesis. +#include <string.h> +#include "pbc.h" +#include "pbc_fp.h" +#include "pbc_fieldquadratic.h" + +static field_t Fq, Fq2, E, E2; +static mpz_t order; + +static void do_vert(element_ptr z, element_ptr V, element_ptr Q) +{ + element_ptr Vx = curve_x_coord(V); + element_ptr Qx = curve_x_coord(Q); + element_ptr Qy = curve_y_coord(Q); + + element_t a, b, c; + element_init_same_as(a, Vx); + element_init_same_as(b, Vx); + element_init_same_as(c, Vx); + + //a = 1 + //b = 0; + //c = -Vx + element_set1(a); + element_set0(b); + element_neg(c, Vx); + + element_printf("vert at %B: %B %B %B\n", Vx, a, b, c); + element_mul(a, a, Qx); + element_mul(b, b, Qy); + element_add(c, c, a); + element_add(z, c, b); + element_printf("vert eval = %B\n", z); + element_clear(a); + element_clear(b); + element_clear(c); +} + +static void do_tangent(element_ptr z, element_ptr V, element_ptr Q) +{ + element_ptr Vx = curve_x_coord(V); + element_ptr Vy = curve_y_coord(V); + element_ptr Qx = curve_x_coord(Q); + element_ptr Qy = curve_y_coord(Q); + + element_t a, b, c; + element_init_same_as(a, Vx); + element_init_same_as(b, Vx); + element_init_same_as(c, Vx); + + //a = -slope_tangent(V.x, V.y); + //b = 1; + //c = -(V.y + aV.x); + /* + //we could multiply by -2*V.y to avoid division so: + //a = -(3 Vx^2 + cc->a) + //b = 2 * Vy + //c = -(2 Vy^2 + a Vx); + // + //actually no, since fasterweil won't work if we do this + */ + element_square(a, Vx); + //element_mul_si(a, a, 3); + element_add(b, a, a); + element_add(a, b, a); + element_set1(b); + element_add(a, a, b); + element_neg(a, a); + element_double(b, Vy); + element_div(a, a, b); + element_set1(b); + element_mul(c, a, Vx); + element_add(c, c, Vy); + element_neg(c, c); + + element_printf("tan at %B: %B %B %B\n", V, a, b, c); + + element_mul(a, a, Qx); + element_mul(b, b, Qy); + element_add(c, c, a); + element_add(z, c, b); + element_printf("tan eval = %B\n", z); + element_clear(a); + element_clear(b); + element_clear(c); +} + +static void do_line(element_ptr z, element_ptr V, element_ptr P, element_ptr Q) +{ + element_ptr Vx = curve_x_coord(V); + element_ptr Vy = curve_y_coord(V); + element_ptr Px = curve_x_coord(P); + element_ptr Py = curve_y_coord(P); + element_ptr Qx = curve_x_coord(Q); + element_ptr Qy = curve_y_coord(Q); + + element_t a, b, c, e0; + element_init_same_as(a, Vx); + element_init_same_as(b, Vx); + element_init_same_as(c, Vx); + element_init_same_as(e0, Vx); + + //a = -(B.y - A.y) / (B.x - A.x); + //b = 1; + //c = -(A.y + a * A.x); + + element_sub(a, Py, Vy); + element_sub(b, Vx, Px); + element_div(a, a, b); + element_set1(b); + element_mul(c, a, Vx); + element_add(c, c, Vy); + element_neg(c, c); + + /* + //but we could multiply by B.x - A.x to avoid division, so + //a = -(By - Ay) + //b = Bx - Ax + //c = -(Ay b + a Ax); + element_sub(a, Vy, Py); + element_sub(b, Px, Vx); + element_mul(c, Vx, Py); + element_mul(e0, Vy, Px); + element_sub(c, c, e0); + // + //actually no, since fasterweil won't work if we do this + */ + + element_printf("line at %B: %B %B %B\n", V, a, b, c); + element_mul(a, a, Qx); + element_mul(b, b, Qy); + element_add(c, c, a); + element_add(z, c, b); + element_printf(" = %B\n", z); + + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(e0); +} + +void millertate(element_t z, element_t P, element_t Q) +{ + element_t Z; + element_t z0; + + element_init_same_as(Z, P); + element_init_same_as(z0, z); + + element_set(Z, P); + + do_tangent(z, Z, Q); + + element_double(Z, Z); + + do_vert(z0, Z, Q); + element_div(z, z, z0); + + element_printf("presquare: z = %B\n", z); + + element_square(z, z); + + element_printf("square: z = %B\n", z); + + do_tangent(z0, Z, Q); + element_mul(z, z, z0); + + element_clear(z0); + element_clear(Z); +} + +void tate(element_t z, element_t P, element_t Q) +{ + mpz_t q1r; + + mpz_init(q1r); + mpz_set_ui(q1r, 696); + + /* + millertate(z, P, Q); + element_printf("prepow: z = %B\n", z); + element_pow_mpz(z, z, q1r); + */ + { + element_t R, QR; + element_t z0; + + element_init_same_as(R, P); + element_init_same_as(QR, P); + element_init_same_as(z0, z); + + element_random(R); + element_add(QR, Q, R); + + millertate(z, P, QR); + millertate(z0, P, R); + element_div(z, z, z0); + element_pow_mpz(z, z, q1r); + element_clear(R); + element_clear(QR); + } + + mpz_clear(q1r); +} + +void shipseystange(element_t z, element_t P, element_t Q) +{ + mpz_t q1r; + + mpz_init(q1r); + mpz_set_ui(q1r, 696); + + element_ptr x = curve_x_coord(P); + element_ptr y = curve_y_coord(P); + + element_ptr x2 = curve_x_coord(Q); + element_ptr y2 = curve_y_coord(Q); + + element_t v0m1, v0m2, v0m3; + element_t v00, v01, v02, v03, v04; + element_t v1m1, v10, v11; + element_t t0, t1, t2; + element_t W20inv; + element_t Wm11inv; + element_t W2m1inv; + element_t sm2, sm1, s0, s1, s2, s3; + element_t pm2, pm1, p0, p1, p2, p3; + + element_init_same_as(sm2, z); + element_init_same_as(sm1, z); + element_init_same_as(s0, z); + element_init_same_as(s1, z); + element_init_same_as(s2, z); + element_init_same_as(s3, z); + + element_init_same_as(pm2, z); + element_init_same_as(pm1, z); + element_init_same_as(p0, z); + element_init_same_as(p1, z); + element_init_same_as(p2, z); + element_init_same_as(p3, z); + + element_init_same_as(v0m3, z); + element_init_same_as(v0m2, z); + element_init_same_as(v0m1, z); + element_init_same_as(v00, z); + element_init_same_as(v01, z); + element_init_same_as(v02, z); + element_init_same_as(v03, z); + element_init_same_as(v04, z); + + element_init_same_as(v1m1, z); + element_init_same_as(v10, z); + element_init_same_as(v11, z); + + element_init_same_as(W20inv, z); + element_init_same_as(Wm11inv, z); + element_init_same_as(W2m1inv, z); + + element_init_same_as(t0, z); + element_init_same_as(t1, z); + element_init_same_as(t2, z); + + element_set0(v0m1); + element_set1(v00); + element_neg(v0m2, v00); + element_double(v01, y); + + element_neg(v0m3, v01); + + element_invert(W20inv, v01); + + element_sub(Wm11inv, x, x2); + element_square(t1, Wm11inv); + element_invert(Wm11inv, Wm11inv); + element_double(t0, x); + element_add(t0, t0, x2); + element_mul(t1, t0, t1); + element_add(t0, y, y2); + element_square(t0, t0); + element_sub(t0, t0, t1); + element_invert(W2m1inv, t0); + + /* Let P=(x,y) since A=1, B=0 we have: + * W(3,0) = 3x^4 + 6x^2 - 1 + * W(4,0) = 4y(x^6 + 5x^4 - 5x^2 - 1) + */ + + //t0 = x^2 + element_square(t0, x); + + //t1 = x^4 + element_square(t1, t0); + + //t2 = x^4 + 2 x^2 + element_double(t2, t0); + element_add(t2, t2, t1); + + //v02 = W(3,0) + element_double(v02, t2); + element_add(v02, v02, t2); + element_add(v02, v02, v0m2); + + //t2 = x^4 - x^2 + element_sub(t2, t1, t0); + + //v03 = 5(x^4 - x^2) + element_double(v03, t2); + element_double(v03, v03); + element_add(v03, v03, t2); + + //t2 = x^6 + element_mul(t2, t0, t1); + + //v03 = W(4,0) + element_add(v03, v03, t2); + element_add(v03, v03, v0m2); + element_double(v03, v03); + element_double(v03, v03); + element_mul(v03, v03, y); + + //v04 = W(5,0) = W(2,0)^3 W(4,0) - W(3,0)^3 + element_square(t0, v01); + element_mul(t0, t0, v01); + element_mul(v04, t0, v03); + element_square(t0, v02); + element_mul(t0, t0, v02); + element_sub(v04, v04, t0); + + element_set1(v1m1); + element_set1(v10); + + element_printf("x y: %B %B\n", x, y); + element_printf("x2 y2: %B %B\n", x2, y2); + element_sub(t0, x2, x); + element_sub(t1, y2, y); + element_div(t0, t1, t0); + element_square(t0, t0); + element_double(v11, x); + element_add(v11, v11, x2); + element_sub(v11, v11, t0); + + element_printf("VEC1: %B %B %B\n", v1m1, v10, v11); + element_printf("VEC0: %B %B %B %B %B %B %B %B\n", + v0m3, v0m2, v0m1, v00, v01, v02, v03, v04); + + //Double + element_square(sm2, v0m2); + element_square(sm1, v0m1); + element_square(s0, v00); + element_square(s1, v01); + element_square(s2, v02); + element_square(s3, v03); + + element_mul(pm2, v0m3, v0m1); + element_mul(pm1, v0m2, v00); + element_mul(p0, v0m1, v01); + element_mul(p1, v00, v02); + element_mul(p2, v01, v03); + element_mul(p3, v02, v04); + + element_mul(t0, pm1, sm2); + element_mul(t1, pm2, sm1); + element_sub(v0m3, t0, t1); + + element_mul(t1, pm2, s0); + element_mul(t0, p0, sm2); + element_sub(v0m2, t0, t1); + element_mul(v0m2, v0m2, W20inv); + + element_mul(t0, p0, sm1); + element_mul(t1, pm1, s0); + element_sub(v0m1, t0, t1); + + element_mul(t1, pm1, s1); + element_mul(t0, p1, sm1); + element_sub(v00, t0, t1); + element_mul(v00, v00, W20inv); + + element_mul(t0, p1, s0); + element_mul(t1, p0, s1); + element_sub(v01, t0, t1); + + element_mul(t1, p0, s2); + element_mul(t0, p2, s0); + element_sub(v02, t0, t1); + element_mul(v02, v02, W20inv); + + element_mul(t0, p2, s1); + element_mul(t1, p1, s2); + element_sub(v03, t0, t1); + + element_mul(t1, p1, s3); + element_mul(t0, p3, s1); + element_sub(v04, t0, t1); + element_mul(v04, v04, W20inv); + + element_square(t0, v10); + element_mul(t1, v1m1, v11); + + element_mul(t2, pm1, t0); + element_mul(v1m1, t1, sm1); + element_sub(v1m1, v1m1, t2); + + element_mul(t2, p0, t0); + element_mul(v10, t1, s0); + element_sub(v10, v10, t2); + + element_mul(t2, p1, t0); + element_mul(v11, t1, s1); + element_sub(v11, v11, t2); + element_mul(v11, v11, Wm11inv); + + element_printf("VEC1: %B %B %B\n", v1m1, v10, v11); + element_printf("VEC0: %B %B %B %B %B %B %B %B\n", + v0m3, v0m2, v0m1, v00, v01, v02, v03, v04); + + //DoubleAdd + element_square(sm2, v0m2); + element_square(sm1, v0m1); + element_square(s0, v00); + element_square(s1, v01); + element_square(s2, v02); + element_square(s3, v03); + + element_mul(pm2, v0m3, v0m1); + element_mul(pm1, v0m2, v00); + element_mul(p0, v0m1, v01); + element_mul(p1, v00, v02); + element_mul(p2, v01, v03); + element_mul(p3, v02, v04); + + element_mul(t1, pm2, s0); + element_mul(t0, p0, sm2); + element_sub(v0m3, t0, t1); + element_mul(v0m3, v0m3, W20inv); + + element_mul(t0, p0, sm1); + element_mul(t1, pm1, s0); + element_sub(v0m2, t0, t1); + + element_mul(t1, pm1, s1); + element_mul(t0, p1, sm1); + element_sub(v0m1, t0, t1); + element_mul(v0m1, v0m1, W20inv); + + element_mul(t0, p1, s0); + element_mul(t1, p0, s1); + element_sub(v00, t0, t1); + + element_mul(t1, p0, s2); + element_mul(t0, p2, s0); + element_sub(v01, t0, t1); + element_mul(v01, v01, W20inv); + + element_mul(t0, p2, s1); + element_mul(t1, p1, s2); + element_sub(v02, t0, t1); + + element_mul(t1, p1, s3); + element_mul(t0, p3, s1); + element_sub(v03, t0, t1); + element_mul(v03, v03, W20inv); + + element_mul(t0, p3, s2); + element_mul(t1, p2, s3); + element_sub(v04, t0, t1); + + element_square(t0, v10); + element_mul(t1, v1m1, v11); + + element_mul(t2, p0, t0); + element_mul(v1m1, t1, s0); + element_sub(v1m1, v1m1, t2); + + element_mul(t2, p1, t0); + element_mul(v10, t1, s1); + element_sub(v10, v10, t2); + element_mul(v10, v10, Wm11inv); + + element_mul(t2, t1, s2); + element_mul(v11, p2, t0); + element_sub(v11, v11, t2); + element_mul(v11, v11, W2m1inv); + + element_printf("VEC1: %B %B %B\n", v1m1, v10, v11); + element_printf("VEC0: %B %B %B %B %B %B %B %B\n", + v0m3, v0m2, v0m1, v00, v01, v02, v03, v04); + element_div(z, v11, v01); + element_printf("prepow: %B\n", z); + + element_pow_mpz(z, z, q1r); + + mpz_clear(q1r); +} + +void miller(element_t z, element_t PR, element_t R, element_t P, element_t Q) +{ + int m = mpz_sizeinbase(order, 2) - 2; + + element_t Z; + element_t z1; + element_t x1; + element_init_same_as(Z, PR); + + element_set(Z, P); + element_set1(z); + element_init_same_as(z1, z); + element_init_same_as(x1, z); + + do_vert(x1, PR, Q); + element_printf("vert(P+R) %B\n", x1); + do_line(z1, P, R, Q); + element_printf("line(P,R) %B\n", z1); + element_div(x1, x1, z1); + element_printf("x1 %B\n", x1); + element_set(z, x1); + + for (;;) { + printf("iteration %d: %d\n", m, mpz_tstbit(order,m)); + element_square(z, z); + element_printf("squared: %B\n", z); + do_tangent(z1, Z, Q); + element_mul(z, z, z1); + + element_double(Z, Z); + do_vert(z1, Z, Q); + element_div(z, z, z1); + element_printf("pre-if: %B\n", z); + + if (mpz_tstbit(order, m)) { + element_mul(z, z, x1); + do_vert(z1, P, Q); + element_mul(z, z, z1); + element_printf("done %B\n", z); + /* + do_line(z1, Z, P, Q); + element_mul(z, z, z1); + element_add(Z, Z, P); + do_vert(z1, Z, Q); + element_div(z, z, z1); + */ + } + if (!m) break; + m--; + } + + element_clear(x1); + element_clear(z1); +} +/* +*/ + +void weil(element_t w, element_t g, element_t h) +{ + element_t gr; + element_t hs; + element_t r; + element_t s; + element_t z, z0, z1; + + element_init(z, Fq2); + element_init(z0, Fq2); + element_init(z1, Fq2); + + element_init_same_as(gr, g); + element_init_same_as(hs, h); + element_init_same_as(r, g); + element_init_same_as(s, h); + + element_random(r); + element_random(s); + //point_random always takes the same square root + //why not take the other one for once? + element_neg(r, r); + element_set_str(r, "[[40,0],[54,0]]", 0); + element_set_str(s, "[[48,55],[28,51]]", 0); + + element_printf("chose R = %B\n", r); + element_printf("chose S = %B\n", s); + element_add(gr, g, r); + element_add(hs, h, s); + + element_printf("P+R = %B\n", gr); + element_printf("Q+S = %B\n", hs); + miller(z, gr, r, g, hs); + miller(z0, gr, r, g, s); + element_div(z1, z, z0); + element_printf("num: %B\n", z1); + + miller(z, hs, s, h, gr); + miller(z0, hs, s, h, r); + element_div(w, z, z0); + element_printf("denom: %B\n", w); + + element_div(w, z1, w); + + element_clear(gr); + element_clear(r); + element_clear(hs); + element_clear(s); + element_clear(z); + element_clear(z0); + element_clear(z1); +} + +void fasterweil(element_t w, element_t g, element_t h) +{ + element_t hs; + element_t s; + element_t z, z0, z1; + + element_init(z, Fq2); + element_init(z0, Fq2); + element_init(z1, Fq2); + + element_init_same_as(hs, h); + element_init_same_as(s, h); + + element_random(s); + //point_random always takes the same square root + //why not take the other one for once? + element_set_str(s, "[[48,55],[28,51]]", 0); + + element_printf("chose S = %B\n", s); + element_add(hs, h, s); + + element_printf("Q+S = %B\n", hs); + + millertate(z, g, hs); + millertate(z0, g, s); + element_div(z1, z, z0); + element_printf("num: %B\n", z1); + + miller(w, hs, s, h, g); + element_printf("denom: %B\n", w); + + element_div(w, z1, w); + + element_clear(z); + element_clear(z0); + element_clear(z1); + element_clear(hs); + element_clear(s); +} + +void fasterweil2(element_t w, element_t g, element_t h) +{ + element_t gr; + element_t r; + element_t z, z0, z1; + + element_init(z, Fq2); + element_init(z0, Fq2); + element_init(z1, Fq2); + + element_init_same_as(gr, g); + element_init_same_as(r, g); + + element_random(r); + //point_random always takes the same square root + //why not take the other one for once? + element_set_str(r, "[[48,55],[28,51]]", 0); + + element_printf("chose R = %B\n", r); + element_add(gr, g, r); + + element_printf("P+R = %B\n", gr); + + miller(w, gr, r, g, h); + element_printf("num: %B\n", w); + + millertate(z, h, gr); + millertate(z0, h, r); + element_div(z1, z, z0); + element_printf("denom: %B\n", z1); + + element_div(w, w, z1); + + element_clear(z); + element_clear(z0); + element_clear(z1); + element_clear(gr); + element_clear(r); +} + +int main(void) +{ + int i; + element_t g, h; + element_t w0, w1; + element_t a, b; + mpz_t prime, cofac; + + mpz_init(prime); + mpz_init(order); + mpz_init(cofac); + mpz_set_ui(prime, 59); + + field_init_fp(Fq, prime); + + element_init(a, Fq); + element_init(b, Fq); + + field_init_fi(Fq2, Fq); + + element_set1(a); + element_set0(b); + mpz_set_ui(order, 5); + mpz_set_ui(cofac, 12); + + field_init_curve_ab(E, a, b, order, cofac); + + element_clear(a); + element_clear(b); + element_init(a, Fq2); + element_init(b, Fq2); + element_set1(a); + element_set0(b); + + mpz_mul(cofac, cofac, cofac); + field_init_curve_ab(E2, a, b, order, NULL); + + element_init(g, E2); + element_init(h, E2); + + element_init(w0, Fq2); + element_init(w1, Fq2); + + /* + do { + element_random(g); + } while (element_is1(g)); + for (i=1; i<5; i++) { + element_mul(h, h, g); + element_printf("%d: %B\n", i, h); + element_printf("tangent = "); + do_tangent(h); + } + */ + element_set_str(g, "[[25,0],[30,0]", 0); + element_set_str(h, "[[34,0],[0,30]", 0); + weil(w0, g, h); + element_printf("weil: %B\n", w0); + + element_set1(w1); + for (i=1; i<6; i++) { + element_mul(w1, w1, w0); + element_printf("%d: %B\n", i, w1); + } + + fasterweil(w0, g, h); + element_printf("fasterweil: %B\n", w0); + + element_set1(w1); + for (i=1; i<6; i++) { + element_mul(w1, w1, w0); + element_printf("%d: %B\n", i, w1); + } + + fasterweil2(w0, g, h); + element_printf("fasterweil2: %B\n", w0); + + tate(w0, g, h); + element_printf("tate: %B\n", w0); + + element_set1(w1); + for (i=1; i<6; i++) { + element_mul(w1, w1, w0); + element_printf("%d: %B\n", i, w1); + } + + shipseystange(w0, g, h); + element_printf("ss-tate: %B\n", w0); + + element_set1(w1); + for (i=1; i<6; i++) { + element_mul(w1, w1, w0); + element_printf("%d: %B\n", i, w1); + } + return 0; +} diff --git a/moon-abe/pbc-0.5.14/guru/checkfp.c b/moon-abe/pbc-0.5.14/guru/checkfp.c new file mode 100644 index 00000000..98b9a701 --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/checkfp.c @@ -0,0 +1,334 @@ +// Compares two implementations of Fp. + +#include <string.h> +#include "pbc.h" +#include "pbc_fp.h" +#include "pbc_fieldquadratic.h" + +static mpz_t prime; + +enum { VERBOSE = 0 }; + +static void check_p(int value, char *s) { + if (!value) { + printf("BUG: %s predicate wrong\n", s); + exit(1); + } + + if (VERBOSE) { + printf("checking %s\n", s); + } +} + +static void check_match_int(int i1, int i2, char *s) { + void bug(void) + { + printf("BUG: %s mismatch\n", s); + element_printf("i1: %d\n", i1); + element_printf("i2: %d\n", i2); + exit(1); + } + + if (VERBOSE) { + printf("checking %s\n", s); + element_printf("i1: %d\n", i1); + element_printf("i2: %d\n", i2); + } + + if (i1 != i2) bug(); +} + +static void check_match(element_t e1, element_t e2, char *s) { + unsigned char *buf1, *buf2; + int len; + void bug(void) + { + printf("BUG: %s mismatch\n", s); + element_printf("e1: %B\n", e1); + element_printf("e2: %B\n", e2); + exit(1); + } + + if (VERBOSE) { + printf("checking %s\n", s); + element_printf("e1: %B\n", e1); + element_printf("e2: %B\n", e2); + } + len = element_length_in_bytes(e1); + if (len != element_length_in_bytes(e2)) { + bug(); + } + + buf1 = pbc_malloc(len); + buf2 = pbc_malloc(len); + element_to_bytes(buf1, e1); + element_to_bytes(buf2, e2); + + if (memcmp(buf1, buf2, len)) { + bug(); + } + + pbc_free(buf1); + pbc_free(buf2); +} + +static void run_check(field_ptr f1, field_ptr f2) { + mpz_t t1, t2; + element_t x1, y1, z1; + element_t x2, y2, z2; + char s2[80]; + + void convertset(element_t out, element_t in) + { + unsigned char *buf; + int len; + + len = element_length_in_bytes(in); + buf = pbc_malloc(len); + element_to_bytes(buf, in); + element_from_bytes(out, buf); + pbc_free(buf); + check_match(in, out, "conversion"); + } + + void randxy(void) + { + + element_random(x1); + element_random(y1); + convertset(x2, x1); + convertset(y2, y1); + } + + void check_onearg(void (*fn)(element_ptr), char *s) + { + fn(x1); + fn(x2); + check_match(x1, x2, s); + } + + void check_twoarg(void (*fn)(element_ptr, element_ptr), char *s) + { + randxy(); + fn(z1, x1); + fn(z2, x2); + check_match(z1, z2, s); + + strncpy(s2, s, 32); + strcat(s2, " (in place)"); + fn(y1, y1); + fn(y2, y2); + check_match(y1, y2, s2); + } + + void check_threearg(void (*fn)(element_ptr, element_ptr, element_ptr), char *s) + { + randxy(); + fn(z1, x1, y1); + fn(z2, x2, y2); + check_match(z1, z2, s); + + strncpy(s2, s, 32); + strcat(s2, " (first arg in place)"); + element_set(z1, x1); + element_set(z2, x2); + fn(z1, z1, y1); + fn(z2, z2, y2); + check_match(z1, z2, s2); + + strncpy(s2, s, 32); + strcat(s2, " (second arg in place)"); + element_set(z1, y1); + element_set(z2, y2); + fn(z1, x1, z1); + fn(z2, x2, z2); + check_match(z1, z2, s2); + + strncpy(s2, s, 32); + strcat(s2, " (both args in place)"); + element_set(z1, y1); + element_set(z2, y2); + fn(x1, x1, x1); + fn(x2, x2, x2); + check_match(x1, x2, s2); + } + + mpz_init(t1); + mpz_init(t2); + element_init(x1, f1); + element_init(y1, f1); + element_init(z1, f1); + element_init(x2, f2); + element_init(y2, f2); + element_init(z2, f2); + + check_p(!element_cmp(x1, y1), "cmp0-1"); + check_p(!element_cmp(x2, y2), "cmp0-2"); + check_match(z1, z2, "init"); + check_onearg(element_set0, "set0"); + check_onearg(element_set1, "set1"); + check_twoarg(element_set, "set"); + check_match_int(element_sgn(z1), element_sgn(z2), "sgn"); + + check_threearg(element_add, "add"); + check_twoarg(element_neg, "neg"); + check_threearg(element_sub, "sub"); + check_twoarg(element_double, "double"); + check_twoarg(element_halve, "halve"); + + check_twoarg(element_invert, "invert"); + check_twoarg(element_square, "square"); + check_threearg(element_mul, "mul"); + + randxy(); + element_neg(y1, x1); + element_neg(y2, x2); + element_add(z1, x1, y1); + element_add(z2, x2, y2); + check_match(z1, z2, "add (to zero)"); + check_p(!element_sgn(z1), "sgn"); + check_p(!element_sgn(z1), "sgn"); + check_p(element_is0(z2), "is0"); + check_p(element_is0(z2), "is0"); + + randxy(); + element_invert(y1, x1); + element_invert(y2, x2); + element_mul(z1, x1, y1); + element_mul(z2, x2, y2); + check_match(z1, z2, "mul (to one)"); + check_p(element_is1(z1), "is1"); + check_p(element_is1(z2), "is1"); + + randxy(); + check_p(!(!!element_cmp(x1, y1) ^ !!element_cmp(x2, y2)), "cmp"); + element_set(x1, y1); + element_set(x2, y2); + check_p(!element_cmp(x1, y1), "cmp"); + check_p(!element_cmp(x2, y2), "cmp"); + check_p(!element_cmp(x1, x1), "cmp (in place)"); + check_p(!element_cmp(x2, x2), "cmp (in place)"); + + for (;;) { + int flag; + randxy(); + flag = element_is_sqr(x1); + check_match_int(flag, element_is_sqr(x2), "is_sqr"); + if (flag) break; + } + convertset(x2, x1); + element_sqrt(z1, x1); + element_sqrt(z2, x2); + //can't compare these because sqrt is nondeterministic + //and there's no way easy way to preserve random state yet + element_square(z1, z1); + element_square(z2, z2); + check_match(z1, z2, "sqrt"); + + pbc_mpz_random(t1, f1->order); + pbc_mpz_random(t2, f2->order); + element_to_mpz(t1, y1); + element_to_mpz(t2, y2); + element_set_mpz(y1, t1); + element_set_mpz(y2, t2); + check_match(y1, y2, "set_mpz"); + element_mul_mpz(z1, x1, t1); + element_mul_mpz(z2, x2, t2); + check_match(z1, z2, "mul_mpz"); + element_pow_mpz(z1, x1, t1); + element_pow_mpz(z2, x2, t2); + check_match(z1, z2, "pow_mpz"); + element_mul_si(z1, x1, mpz_get_ui(t1)); + element_mul_si(z2, x2, mpz_get_ui(t2)); + check_match(z1, z2, "mul_si"); + element_set_si(z1, mpz_get_ui(t1)); + element_set_si(z2, mpz_get_ui(t2)); + check_match(z1, z2, "set_si"); + + element_clear(x1); + element_clear(y1); + element_clear(z1); + element_clear(x2); + element_clear(y2); + element_clear(z2); + + mpz_clear(t1); + mpz_clear(t2); +} + +int main(void) { + field_t f1, f2; + field_t f1i, f2i; + field_t f1x, f2x; + field_t f1p, f2p; + int i, n; + element_ptr n1; + element_t n2; + element_t irred1, irred2; + mpz_t z; + + n = 10; + + mpz_init(z); + mpz_init(prime); + mpz_set_ui(prime, 1234); + mpz_setbit(prime, 160); + mpz_nextprime(prime, prime); + + element_printf("prime = %Zd\n", prime); + + field_init_naive_fp(f1, prime); + field_init_fp(f2, prime); + + printf("Field 1:\n"); + field_out_info(stdout, f1); + printf("Field 2:\n"); + field_out_info(stdout, f2); + + printf("checking base fields\n"); + for (i=0; i<n; i++) run_check(f1, f2); + + element_init(n2, f2); + + n1 = field_get_nqr(f1); + element_to_mpz(z, n1); + element_set_mpz(n2, z); + field_set_nqr(f2, n2); + + field_init_fi(f1i, f1); + field_init_fi(f2i, f2); + + printf("checking quadratic field extensions\n"); + for (i=0; i<n; i++) run_check(f1i, f2i); + + field_clear(f1i); + field_clear(f2i); + field_init_quadratic(f1i, f1); + field_init_quadratic(f2i, f2); + for (i=0; i<n; i++) run_check(f1i, f2i); + + printf("checking degree 3 extension\n"); + field_init_poly(f1x, f1); + field_init_poly(f2x, f2); + element_init(irred1, f1x); + element_init(irred2, f2x); + do { + poly_random_monic(irred1, 3); + } while (!poly_is_irred(irred1)); + + field_init_polymod(f1p, irred1); + { + unsigned char *buf; + int len; + len = element_length_in_bytes(irred1); + buf = pbc_malloc(len); + element_to_bytes(buf, irred1); + element_from_bytes(irred2, buf); + pbc_free(buf); + } + field_init_polymod(f2p, irred2); + + for (i=0; i<n; i++) run_check(f1p, f2p); + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/guru/eta_T_3_test.c b/moon-abe/pbc-0.5.14/guru/eta_T_3_test.c new file mode 100644 index 00000000..69cce7de --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/eta_T_3_test.c @@ -0,0 +1,130 @@ +/* Test eta_T pairing over ternary extension fields. + Outputing nothing if everything is good. */ + +#include <stddef.h> +#include <stdarg.h> +#include <stdio.h> +#include <gmp.h> +#include "pbc.h" +#include "pbc_ternary_extension_field.h" +#include "pbc_test.h" + +static pairing_t pairing; +static element_t a1, a2, b1, b2, c1, c2; +static mpz_t order; + +static void setup(void) { + mpz_init(order); + mpz_set_str(order, "2726865189058261010774960798134976187171462721", 10); + const char *param = "type i\n" "m 97\n" "t 12\n" "n2 7\n" + "n 2726865189058261010774960798134976187171462721\n"; + EXPECT(pairing_init_set_str(pairing, param) == 0); + element_init_G1(a1, pairing); + element_init_G1(a2, pairing); + element_init_G2(b1, pairing); + element_init_G2(b2, pairing); + element_init_GT(c1, pairing); + element_init_GT(c2, pairing); +} + +static void test_set_mpz(void) { + mpz_t a; + mpz_init(a); + int i; + for(i = 0; i < 2; i ++) { + mpz_set_si(a, i); + element_set_mpz(a1, a); + EXPECT(element_is0(a1) && element_is1(a1)); + element_set_mpz(b1, a); + EXPECT(element_is0(b1) && element_is1(b1)); + element_set_mpz(c1, a); + EXPECT(element_is0(c1) && element_is1(c1)); + } + mpz_clear(a); +} + +static void test_order(void) { + EXPECT(mpz_cmp(pairing->G1->order, order) == 0); + EXPECT(mpz_cmp(pairing->G2->order, order) == 0); + EXPECT(mpz_cmp(pairing->GT->order, order) == 0); + int i; + for (i=0; i<10; i++) { + element_random(a1); + EXPECT(element_is0(a1) == 0); + element_pow_mpz(a1, a1, order); + EXPECT(element_is0(a1)); + element_random(c1); + EXPECT(element_is0(c1) == 0); + element_pow_mpz(c1, c1, order); + EXPECT(element_is0(c1)); + } +} + +static void test_bilinear_with_zero(void) { + element_set0(a1); + element_random(b1); + element_pairing(c1, a1, b1); + EXPECT(element_is0(c1) && element_is1(c1)); + element_random(a1); + element_set0(b1); + element_pairing(c1, a1, b1); + EXPECT(element_is0(c1) && element_is1(c1)); + element_set0(a1); + element_set0(b1); + element_pairing(c1, a1, b1); + EXPECT(element_is0(c1) && element_is1(c1)); +} + +static void test_bilinear(void) { + element_random(a1); + element_mul_si(a2, a1, 33); + element_random(b1); + element_mul_si(b2, b1, 33); + element_pairing(c1, a1, b2); + element_pairing(c2, a2, b1); + EXPECT(element_cmp(c1, c2) == 0); + element_mul_mpz(c1, c1, order); + EXPECT(element_is0(c1)); +} + +static void test_gen_param(void) { + typedef struct { + unsigned int len; + int m; + int t; + element_ptr p; + mpz_t n; + mpz_t n2; + } params; + + pbc_param_t par; + pbc_param_init_i_gen(par, 150); + params *p = par->data; + EXPECT(p->m == 97); + EXPECT(p->t == 12); + EXPECT(!mpz_cmp(p->n, order)); + EXPECT(!mpz_cmp_ui(p->n2, 7)); + pbc_param_clear(par); +} + +static void tear_down(void) { + element_clear(a1); + element_clear(a2); + element_clear(b1); + element_clear(b2); + element_clear(c1); + element_clear(c2); + pairing_clear(pairing); + mpz_clear(order); +} + +int main(void) { + setup(); + test_set_mpz(); + test_order(); + test_bilinear_with_zero(); + test_bilinear(); + test_gen_param(); + tear_down(); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/guru/exp_test.c b/moon-abe/pbc-0.5.14/guru/exp_test.c new file mode 100644 index 00000000..02ccfaba --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/exp_test.c @@ -0,0 +1,88 @@ +// Mutliexponentiation benchmark and test. + +#include <string.h> +#include "pbc.h" +#include "pbc_test.h" + +int main(int argc, char **argv) { + pairing_t pairing; + element_t g1, u1, up1, g2, u2, up2, r; + mpz_t r_mpz; + element_pp_t g1_pp, g2_pp; + double t0, t1; + int i, n; + + printf("reading pairing from stdin...\n"); + pbc_demo_pairing_init(pairing, argc, argv); + + element_init(r, pairing->Zr); + element_init(g1, pairing->G1); + element_init(u1, pairing->G1); + element_init(up1, pairing->G1); + element_init(g2, pairing->G2); + element_init(u2, pairing->G2); + element_init(up2, pairing->G2); + + element_random(r); + element_random(g1); + element_random(g2); + + mpz_init(r_mpz); + element_to_mpz(r_mpz, r); + + element_pp_init(g1_pp, g1); + element_pp_init(g2_pp, g2); + + n = 100; + t0 = pbc_get_time(); + for (i=0; i<n; i++) { + element_pow_mpz(u1, g1, r_mpz); + } + t1 = pbc_get_time(); + printf("G1 exp:\t\t%fs\n", t1 - t0); + + n = 100; + t0 = pbc_get_time(); + for (i=0; i<n; i++) { + element_pow_mpz(u2, g2, r_mpz); + } + t1 = pbc_get_time(); + printf("G2 exp:\t\t%fs\n", t1 - t0); + + n = 100; + t0 = pbc_get_time(); + for (i=0; i<n; i++) { + element_pp_pow(up1, r_mpz, g1_pp); + } + t1 = pbc_get_time(); + printf("G1 pp exp:\t%fs\n", t1 - t0); + + n = 100; + t0 = pbc_get_time(); + for (i=0; i<n; i++) { + element_pp_pow(up2, r_mpz, g2_pp); + } + t1 = pbc_get_time(); + printf("G2 pp exp:\t%fs\n", t1 - t0); + + if (element_cmp(u1, up1)) { + printf("Oops 1!\n"); + } + if (element_cmp(u2, up2)) { + printf("Oops 2!\n"); + } + + mpz_clear(r_mpz); + element_clear(g1); + element_clear(u1); + element_clear(up1); + element_clear(g2); + element_clear(u2); + element_clear(up2); + element_clear(r); + element_pp_clear(g1_pp); + element_pp_clear(g2_pp); + pairing_clear(pairing); + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/guru/fp_test.c b/moon-abe/pbc-0.5.14/guru/fp_test.c new file mode 100644 index 00000000..613b4af7 --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/fp_test.c @@ -0,0 +1,95 @@ +// Test F_p. + +#include "pbc.h" +#include "pbc_fp.h" +#include "pbc_test.h" + +int main(void) { + field_t fp; + mpz_t prime; + mpz_t m, n; + + mpz_init(prime); + mpz_init(n); + mpz_init(m); + mpz_set_ui(prime, 100000); + mpz_setbit(prime, 33); + mpz_nextprime(prime, prime); + + field_init_fp(fp, prime); + + element_t x, y, z; + element_init(x, fp); + element_init(y, fp); + element_init(z, fp); + + long a = 123, b = 456; + + // Conversion to and from signed long. + EXPECT(0 == element_to_si(z)); + element_set1(z); + EXPECT(1 == element_to_si(z)); + element_set0(z); + EXPECT(0 == element_to_si(z)); + element_set_si(x, a); + EXPECT(a == element_to_si(x)); + element_set_si(y, b); + EXPECT(b == element_to_si(y)); + // Assignment, comparison. + EXPECT(!element_cmp(x, x)); + EXPECT(element_cmp(x, y)); + EXPECT(element_cmp(z, x)); + element_set(z, x); + EXPECT(!element_cmp(z, x)); + // Arithmetic operations. + element_add(z, x, y); + EXPECT(a + b == element_to_si(z)); + element_mul(z, x, y); + EXPECT(a * b == element_to_si(z)); + element_sub(z, y, x); + EXPECT(b - a == element_to_si(z)); + element_set_mpz(z, prime); + EXPECT(!element_to_si(z)); + element_sub(z, z, x); + element_to_mpz(n, z); + mpz_add_ui(n, n, a); + EXPECT(!mpz_cmp(n, prime)); + element_invert(z, x); + element_to_mpz(m, z); + mpz_set_ui(n, a); + mpz_invert(n, n, prime); + EXPECT(!mpz_cmp(m, n)); + element_invert(z, z); + EXPECT(!element_cmp(x, z)); + element_div(z, y, x); + element_to_mpz(m, z); + mpz_mul_ui(n, n, b); + mpz_mod(n, n, prime); + EXPECT(!mpz_cmp(m, n)); + // Exponentiation. + element_pow_zn(z, x, y); + element_to_mpz(m, z); + mpz_set_si(n, a); + mpz_powm_ui(n, n, b, prime); + EXPECT(!mpz_cmp(m, n)); + // Preprocessed exponentiation. + element_pp_t p; + element_pp_init(p, x); + element_pp_pow_zn(z, y, p); + element_pp_clear(p); + element_to_mpz(m, z); + EXPECT(!mpz_cmp(m, n)); + + element_from_hash(z, NULL, 0); + element_from_hash(x, NULL, 0); + EXPECT(!element_cmp(z, x)); + + element_clear(x); + element_clear(y); + element_clear(z); + field_clear(fp); + mpz_clear(prime); + mpz_clear(m); + mpz_clear(n); + return pbc_err_count; +} diff --git a/moon-abe/pbc-0.5.14/guru/indexcalculus.c b/moon-abe/pbc-0.5.14/guru/indexcalculus.c new file mode 100644 index 00000000..4ef5e4ea --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/indexcalculus.c @@ -0,0 +1,869 @@ +#include <stdio.h> +#include <stdlib.h> +#include <stdint.h> // for intptr_t +#include <string.h> +#include <math.h> +#include <gmp.h> +#include "pbc.h" +#include "pbc_utils.h" + +struct cell_s { + int ind; + mpz_t data; +}; +typedef struct cell_s *cell_ptr; + +static cell_ptr newcell(void) +{ + cell_ptr res; + res = pbc_malloc(sizeof(struct cell_s)); + //res->data = pbc_malloc(sizeof(mpz_t)); + //mpz_init(res->data); + mpz_init(res->data); + return res; +} + +static void delcell(void *p) +{ + cell_ptr cp = p; + mpz_clear(cp->data); + pbc_free(p); +} + +static int is_gen(mpz_t x, mpz_t q, darray_ptr fac, darray_ptr mul) { + int result = 1; + mpz_t z; + mpz_t q1; + int i; + UNUSED_VAR(mul); + + mpz_init(z); + mpz_init(q1); + + mpz_sub_ui(q1, q, 1); + for (i=0; i<fac->count; i++) { + mpz_divexact(z, q1, fac->item[i]); + mpz_powm(z, x, z, q); + if (!mpz_cmp_ui(z, 1)) { + result = 0; + break; + } + } + + mpz_clear(q1); + mpz_clear(z); + return result; +} + +// Garner's Algorithm. +// See Algorithm 14.71, Handbook of Cryptography. +static void CRT(mpz_t x, mpz_ptr *v, mpz_ptr *m, int t) { + mpz_t u; + mpz_t C[t]; + int i, j; + + mpz_init(u); + for (i=1; i<t; i++) { + mpz_init(C[i]); + mpz_set_ui(C[i], 1); + for (j=0; j<i; j++) { + mpz_invert(u, m[j], m[i]); + mpz_mul(C[i], C[i], u); + mpz_mod(C[i], C[i], m[i]); + } + } + mpz_set(u, v[0]); + mpz_set(x, u); + for (i=1; i<t; i++) { + mpz_sub(u, v[i], x); + mpz_mul(u, u, C[i]); + mpz_mod(u, u, m[i]); + for (j=0; j<i; j++) { + mpz_mul(u, u, m[j]); + } + mpz_add(x, x, u); + } + + for (i=1; i<t; i++) mpz_clear(C[i]); + mpz_clear(u); +} + +//TODO: http://www.cecm.sfu.ca/CAG/abstracts/aaron27Jan06.pdf +//TODO: don't need to store last element of list in row[i] +//TODO: linked lists might be better than dynamic arrays (avoids memmove()) +//TODO: allow holes in the table +//(if drought lasts too long) +void index_calculus_step1(mpz_t *ind, int r, mpz_t g, mpz_t q, + darray_ptr fac, darray_ptr mul) { + int count = 0; + int i, j; + mpz_t z, z0, z1; + int relcount; + unsigned int *prime = pbc_malloc(sizeof(unsigned int) * r); + int bundlecount = (r - 10 + 19) / 20; + mpz_t *bundle = pbc_malloc(sizeof(mpz_t) * bundlecount); + int faci; + mpz_t k, km; + + cell_ptr *rel = pbc_malloc(sizeof(cell_ptr) * r); + cell_ptr *relm = pbc_malloc(sizeof(cell_ptr) * r); + //''matrix'' is actually a list of matrices + //(we solve over different moduli and combine using CRT) + //darray_t **matrix = pbc_malloc(sizeof(darray_t *) * fac->count); + darray_t *matrix[fac->count]; + int minfound[fac->count]; + + for (i=0; i<r; i++) { + rel[i] = newcell(); + relm[i] = newcell(); + } + for (i=0; i<fac->count; i++) { + //similarly ''row'' refers to a list of rows + darray_t *row = pbc_malloc(sizeof(darray_t) * r); + for (j=0; j<r; j++) { + darray_init(row[j]); + } + matrix[i] = row; + minfound[i] = 0; + } + + mpz_init(k); + mpz_init(km); + mpz_init(z); + mpz_init(z1); + mpz_init(z0); + + printf("building prime table...\n"); + prime[0] = 2; + mpz_set_ui(z, 2); + for (i=1; i<r; i++) { + mpz_nextprime(z, z); + prime[i] = mpz_get_ui(z); + } + + for (i=0; i<bundlecount; i++) { + mpz_init(bundle[i]); + mpz_set_ui(bundle[i], 1); + for (j=0; j<20; j++) { + int jj = 10 + 20 * i + j; + if (jj >= r) break; + mpz_mul_ui(bundle[i], bundle[i], prime[jj]); + } + element_printf("bundle %d: %Zd\n", i, bundle[i]); + } + printf("searching for r-smooth numbers\n"); + + mpz_set_ui(z, 1); + mpz_init(k); + int try = 0; + do { + mpz_mul(z, z, g); + mpz_mod(z, z, q); + mpz_add_ui(k, k, 1); + + /* + pbc_mpz_random(k, q); + mpz_powm(z, g, k, q); + */ + + try++; + + mpz_set(z1, z); + relcount = 0; + for (i=0; i<10; i++) { + if (i >= r) break; + j = 0; + while (mpz_divisible_ui_p(z1, prime[i])) { + mpz_divexact_ui(z1, z1, prime[i]); + j++; + } + if (j) { + rel[relcount]->ind = i; + mpz_set_ui(rel[relcount]->data, j); + relcount++; + if (!mpz_cmp_ui(z1, 1)) goto found; + } + } + for (i=0; i<bundlecount; i++) { + mpz_gcd(z0, bundle[i], z1); + if (mpz_cmp_ui(z0, 1)) { + int ii; + for (ii = 0; ii < 20; ii++) { + int jj = 10 + i * 20 + ii; + if (jj >= r) break; + j = 0; + while (mpz_divisible_ui_p(z1, prime[jj])) { + mpz_divexact_ui(z1, z1, prime[jj]); + j++; + } + if (j) { + rel[relcount]->ind = jj; + mpz_set_ui(rel[relcount]->data, j); + relcount++; + if (!mpz_cmp_ui(z1, 1)) goto found; + } + } + } + } + continue; +found: + +/* + printf("found r-smooth number after %d tries\n", try); + + gmp_printf("g^%Zd = %Zd:", k, z); + for (i=0; i<relcount; i++) { + gmp_printf(" %u:%Zd", rel[i]->ind, rel[i]->data); + } + printf("\n"); +*/ + try = 0; + + for (faci=0; faci<fac->count; faci++) { + darray_t *row = matrix[faci]; + mpz_ptr order = fac->item[faci]; + int relmcount = 0; + mpz_mod(km, k, order); + + //gmp_printf("mod %Zd\n", order); + for (i=0; i<relcount; i++) { + mpz_mod(z0, rel[i]->data, order); + if (mpz_sgn(z0)) { + mpz_set(relm[relmcount]->data, z0); + relm[relmcount]->ind = rel[i]->ind; + relmcount++; + } + } + + while (relmcount) { + //start from the sparse end + int rind = relm[relmcount - 1]->ind; + darray_ptr rp = row[rind]; + + if (rind < minfound[faci]) break; + + mpz_set(z0, relm[relmcount - 1]->data); + if (!rp->count) { + mpz_invert(z0, z0, order); + cell_ptr cnew = newcell(); + cnew->ind = -1; + mpz_mul(z1, km, z0); + mpz_mod(cnew->data, z1, order); + darray_append(rp, cnew); + for (j=0; j<relmcount; j++) { + cnew = newcell(); + cnew->ind = relm[j]->ind; + mpz_mul(z1, relm[j]->data, z0); + mpz_mod(cnew->data, z1, order); + darray_append(rp, cnew); + } + count++; +printf("%d / %d\n", count, r * fac->count); +/* +for (i=1; i<rp->count; i++) { + cnew = rp->item[i]; + gmp_printf(" %u:%Zd", cnew->ind, cnew->data); +} +cnew = rp->item[0]; +gmp_printf(" %Zd\n", cnew->data); +*/ + + if (rind == minfound[faci]) { + do { + if (!minfound[faci]) { + printf("found log p_%d\n", minfound[faci]); + cnew = rp->item[0]; + gmp_printf("km = %Zd mod %Zd\n", cnew->data, order); + } + minfound[faci]++; + if (minfound[faci] >= r) break; + rp = row[minfound[faci]]; + } while (rp->count); + } + break; + + } + +/* +{ +//gmp_printf("mod = %Zd\n", order); +printf("before:"); +for (i=0; i<relmcount; i++) { + gmp_printf(" %u:%Zd", relm[i]->ind, relm[i]->data); +} +gmp_printf(" %Zd\n", km); +cell_ptr cp; +printf("sub %d:", rind); +for (i=1; i<rp->count; i++) { + cp = rp->item[i]; + gmp_printf(" %u:%Zd", cp->ind, cp->data); +} +cp = rp->item[0]; +gmp_printf(" %Zd\n", cp->data); +} +*/ + cell_ptr cpi, cpj; + relmcount--; + i=0; j=1; + while (i<relmcount && j<rp->count - 1) { + cpi = relm[i]; + cpj = rp->item[j]; + if (cpi->ind == cpj->ind) { + mpz_mul(z1, z0, cpj->data); + mpz_mod(z1, z1, order); + int res = mpz_cmp(z1, cpi->data); + if (!res) { + memmove(&relm[i], &relm[i + 1], (relmcount - i - 1) * sizeof(cell_ptr)); + relm[relmcount - 1] = cpi; + relmcount--; + j++; + } else if (res > 0) { + mpz_sub(z1, order, z1); + mpz_add(cpi->data, cpi->data, z1); + i++; + j++; + } else { + mpz_sub(cpi->data, cpi->data, z1); + i++; + j++; + } + } else if (cpi->ind > cpj->ind) { + cpi = relm[relmcount]; + memmove(&relm[i + 1], &relm[i], (relmcount - i) * sizeof(cell_ptr)); + relm[i] = cpi; + relmcount++; + + cpi->ind = cpj->ind; + mpz_mul(z1, z0, cpj->data); + mpz_mod(z1, z1, order); + mpz_sub(cpi->data, order, z1); + //cpi->data = order - ((u0 * cpj->data) % order); + i++; + j++; + } else { + i++; + } + } + + if (i == relmcount) { + while (j < rp->count - 1) { + cpi = relm[relmcount]; + cpj = rp->item[j]; + cpi->ind = cpj->ind; + mpz_mul(z1, z0, cpj->data); + mpz_mod(z1, z1, order); + mpz_sub(cpi->data, order, z1); + //cpi->data = order - ((u0 * cpj->data) % order); + relmcount++; + j++; + } + } + + cpj = rp->item[0]; + mpz_mul(z1, z0, cpj->data); + mpz_mod(z1, z1, order); + //u1 = (u0 * cpj->data) % order; + if (mpz_cmp(km, z1) >= 0) { + mpz_sub(km, km, z1); + } else { + mpz_sub(z1, order, z1); + mpz_add(km, km, z1); + } + +/* +printf("after:"); +for (i=0; i<relmcount; i++) { + gmp_printf(" %u:%Zd", relm[i]->ind, relm[i]->data); +} +gmp_printf(" %Zd\n", km); +*/ + } + } + + } while (count < r * fac->count); + + for (faci=0; faci<fac->count; faci++) { + darray_t *row = matrix[faci]; + mpz_ptr order = fac->item[faci]; + for (i=1; i<r; i++) { + darray_ptr rp = row[i]; + cell_ptr c0 = rp->item[0]; + for (j=1; j<rp->count-1; j++) { + cell_ptr cp = rp->item[j]; + darray_ptr r2 = row[cp->ind]; + cell_ptr c2 = r2->item[0]; + mpz_mul(z0, cp->data, c2->data); + mpz_sub(c0->data, c0->data, z0); + mpz_mod(c0->data, c0->data, order); + } + } + } + + mpz_ptr *tmp = pbc_malloc(sizeof(mpz_ptr) * fac->count); + for (i=0; i<fac->count; i++) { + tmp[i] = pbc_malloc(sizeof(mpz_t)); + mpz_init(tmp[i]); + mpz_pow_ui(fac->item[i], fac->item[i], (unsigned int) mul->item[i]); + } + + for (i=0; i<r; i++) { + for (faci=0; faci<fac->count; faci++) { + darray_t *row = matrix[faci]; + cell_ptr cp = row[i]->item[0]; + mpz_set(tmp[faci], cp->data); + } + CRT(ind[i], tmp, (mpz_ptr *) fac->item, fac->count); + } + + for (i=0; i<fac->count; i++) { + mpz_clear(tmp[i]); + } + pbc_free(tmp); + + for (faci=0; i<fac->count; faci++) { + //similarly ''row'' refers to a list of rows + darray_t *row = matrix[faci]; + for (j=0; j<r; j++) { + darray_forall(row[j], delcell); + darray_clear(row[j]); + } + pbc_free(matrix[faci]); + } + + for (i=0; i<r; i++) { + delcell(rel[i]); + delcell(relm[i]); + } + + pbc_free(prime); + pbc_free(rel); + pbc_free(relm); + mpz_clear(k); + mpz_clear(km); + mpz_clear(z); + mpz_clear(z0); + mpz_clear(z1); +} + +// Brute-force: does not use the fact that matrices are sparse. +void slow_index_calculus_step1(mpz_t *ind, int r, mpz_t g, mpz_t q, + darray_ptr fac, darray_ptr mul) { + int count = 0; + int i, j; + mpz_t z, z0, z1; + //mpz_t rel[r + 1]; + //mpz_t relm[r + 1]; + mpz_t *rel = pbc_malloc(sizeof(mpz_t) * (r + 1)); + mpz_t *relm = pbc_malloc(sizeof(mpz_t) * (r + 1)); + unsigned int *prime = pbc_malloc(sizeof(unsigned int) * r); + darray_t matrix; + int faci; + mpz_t k; + int minfound[fac->count]; + + for (i=0; i<r+1; i++) mpz_init(rel[i]); + for (i=0; i<r+1; i++) mpz_init(relm[i]); + + mpz_init(k); + mpz_init(z); + mpz_init(z1); + mpz_init(z0); + + darray_init(matrix); + + for (i=0; i<fac->count; i++) { + darray_append(matrix, pbc_malloc(r * sizeof(mpz_t *))); + minfound[i] = 0; + } + + for (j=0; j<fac->count; j++) { + mpz_t **row = matrix->item[j]; + for (i=0; i<r; i++) row[i] = NULL; + } + + printf("building prime table...\n"); + prime[0] = 2; + mpz_set_ui(z, 2); + for (i=1; i<r; i++) { + mpz_nextprime(z, z); + prime[i] = mpz_get_ui(z); + } + printf("searching for r-smooth numbers\n"); + + mpz_set_ui(z, 1); + mpz_init(k); + int try = 0; + do { + mpz_mul(z, z, g); + mpz_mod(z, z, q); + + mpz_add_ui(k, k, 1); + /* + pbc_mpz_random(k, q); + mpz_powm(z, g, k, q); + */ + + try++; + + mpz_set(z1, z); + for (i=0; i<r; i++) { + mpz_set_ui(rel[i], 0); + while (mpz_divisible_ui_p(z1, prime[i])) { + mpz_add_ui(rel[i], rel[i], 1); + mpz_divexact_ui(z1, z1, prime[i]); + } + } + if (mpz_cmp_ui(z1, 1)) { + continue; + } + mpz_set(rel[r], k); + +/* + printf("found r-smooth number after %d tries\n", try); + gmp_printf("g^%Zd = %Zd:", rel[r], z); + for (i=0; i<r; i++) { + if (mpz_sgn(rel[i])) { + gmp_printf(" %u:%Zd", i, rel[i]); + } + } + printf("\n"); +*/ + + try = 0; + + for (faci=0; faci<fac->count; faci++) { + mpz_t **row = matrix->item[faci]; + mpz_ptr order = fac->item[faci]; + //gmp_printf("mod %Zd\n", order); + for (i=0; i<r+1; i++) { + mpz_mod(relm[i], rel[i], order); + } + + for (;;) { + /* + for (i=0; i<r && !mpz_sgn(relm[i]); i++); + if (i == r) { + //printf("redundant relation\n"); + break; + } + */ + for (i=r-1; i>=0 && !mpz_sgn(relm[i]); i--); + if (i < 0) { + //printf("redundant relation\n"); + break; + } + if (i < minfound[faci]) { + break; + } + mpz_set(z0, relm[i]); + if (!row[i]) { + row[i] = pbc_malloc(sizeof(mpz_t) * (r + 1)); + mpz_invert(z1, z0, order); + for (j=0; j<r+1; j++) { + mpz_init(row[i][j]); + mpz_mul(row[i][j], z1, relm[j]); + mpz_mod(row[i][j], row[i][j], order); + } + count++; +printf("%d / %d\n", count, r * fac->count); +/* +for (j=0; j<r; j++) { + if (mpz_sgn(row[i][j])) { + gmp_printf(" %d:%Zd", j, row[i][j]); + } +} +gmp_printf(" %Zd\n", row[i][j]); +*/ + + if (i == minfound[faci]) { + do { + if (!minfound[faci]) { + printf("found log p_%d\n", minfound[faci]); + gmp_printf("km = %Zd mod %Zd\n", row[i][r], order); + } + minfound[faci]++; + if (minfound[faci] >= r) break; + } while (row[minfound[faci]]); + } + break; + } + + /* + printf("before:"); + for (j=0; j<r; j++) { + if (mpz_sgn(relm[j])) { + gmp_printf(" %d:%Zd", j, relm[j]); + } + } + gmp_printf(" %Zd\n", relm[j]); + + printf("sub %d:", i); + for (j=0; j<r; j++) { + if (mpz_sgn(row[i][j])) { + gmp_printf(" %d:%Zd", j, row[i][j]); + } + } + gmp_printf(" %Zd\n", row[i][j]); + */ + + for (j=0; j<r+1; j++) { + mpz_mul(z1, z0, row[i][j]); + mpz_sub(relm[j], relm[j], z1); + mpz_mod(relm[j], relm[j], order); + } + + /* + printf("after:"); + for (j=0; j<r; j++) { + if (mpz_sgn(relm[j])) { + gmp_printf(" %d:%Zd", j, relm[j]); + } + } + gmp_printf(" %Zd\n", relm[j]); + */ + } + } + + } while (count < r * fac->count); + + for (faci=0; faci<fac->count; faci++) { + mpz_t **row = matrix->item[faci]; + mpz_ptr order = fac->item[faci]; + /* + gmp_printf("mod %Zd:\n", order); + for (i=0; i<r; i++) { + for (j=0; j<r+1; j++) { + gmp_printf(" %Zd", row[i][j]); + } + printf("\n"); + } + printf("\n"); + */ + + for (i=1; i<r; i++) { + for (j=0; j<i; j++) { + if (mpz_sgn(row[i][j])) { + mpz_mul(z0, row[i][j], row[j][r]); + mpz_sub(row[i][r], row[i][r], z0); + mpz_mod(row[i][r], row[i][r], order); + } + } + } + /* + for (i=r-2; i>=0; i--) { + for (j=i+1; j<r; j++) { + if (mpz_sgn(row[i][j])) { + mpz_mul(z0, row[i][j], row[j][r]); + mpz_sub(row[i][r], row[i][r], z0); + mpz_mod(row[i][r], row[i][r], order); + } + } + } + */ + + /* + for (i=0; i<r; i++) { + mpz_set(rel[i], row[i][r]); + gmp_printf(" %Zd", row[i][r]); + printf("\n"); + } + */ + } + + mpz_ptr *tmp = pbc_malloc(sizeof(mpz_ptr) * fac->count); + for (i=0; i<fac->count; i++) { + tmp[i] = pbc_malloc(sizeof(mpz_t)); + mpz_init(tmp[i]); + mpz_pow_ui(fac->item[i], fac->item[i], (unsigned int) mul->item[i]); + } + + for (i=0; i<r; i++) { + for (faci=0; faci<fac->count; faci++) { + mpz_t **row = matrix->item[faci]; + mpz_set(tmp[faci], row[i][r]); + } + CRT(ind[i], tmp, (mpz_ptr *) fac->item, fac->count); + } + + for (i=0; i<fac->count; i++) { + mpz_clear(tmp[i]); + } + pbc_free(tmp); + + for (faci=0; faci<matrix->count; faci++) { + mpz_t **row = matrix->item[faci]; + for (j=0; j<r; j++) { + for (i=0; i<r+1; i++) { + mpz_clear(row[j][i]); + } + pbc_free(row[j]); + } + pbc_free(row); + } + darray_clear(matrix); + for (i=0; i<r+1; i++) mpz_clear(rel[i]); + for (i=0; i<r+1; i++) mpz_clear(relm[i]); + pbc_free(prime); + pbc_free(rel); + pbc_free(relm); + mpz_clear(k); + mpz_clear(z); + mpz_clear(z0); + mpz_clear(z1); + + printf("step 1 completed\n"); + for (i=0; i<r; i++) element_printf(" %Zd", ind[i]); + printf("\n"); +} + +static void index_calculus_step2(mpz_t x, mpz_t *ind, int r, + mpz_t g, mpz_t h, mpz_t q) { + mpz_t prime; + mpz_t s; + mpz_t z, z1; + mpz_t rel[r]; + int i; + + mpz_init(z); + mpz_init(z1); + mpz_init(s); + mpz_init(prime); + for (i=0; i<r; i++) mpz_init(rel[i]); + + mpz_set(z, h); + + for (;;) { + mpz_mul(z, z, g); + mpz_mod(z, z, q); + mpz_add_ui(s, s, 1); + + mpz_set(z1, z); + mpz_set_ui(prime, 1); + for (i=0; i<r; i++) { + mpz_set_ui(rel[i], 0); + mpz_nextprime(prime, prime); + while (mpz_divisible_p(z1, prime)) { + mpz_add_ui(rel[i], rel[i], 1); + mpz_divexact(z1, z1, prime); + } + } + if (mpz_cmp_ui(z1, 1)) continue; + element_printf("found r-smooth number on try #%Zd\n", s); + mpz_set_ui(x, 0); + for (i=0; i<r; i++) { + mpz_mul(z, rel[i], ind[i]); + mpz_add(x, x, z); + } + mpz_sub(x, x, s); + mpz_sub_ui(z, q, 1); + mpz_mod(x, x, z); + break; + } +} + +static void mpzclear(void *p) { + mpz_clear(p); + pbc_free(p); +} + +struct addfm_scope_var { + darray_ptr fac, mul; +}; + +static int addfm(mpz_t f, unsigned int m, struct addfm_scope_var *v) { + darray_append(v->fac, f); + darray_append(v->mul, int_to_voidp(m)); + return 0; +} + +void pbc_mpz_index_calculus(mpz_t x, mpz_t g, mpz_t h, mpz_t q) { + int i, r; + mpz_t q1, z0; + + mpz_init(q1); + mpz_init(z0); + + mpz_sub_ui(q1, q, 1); + mpz_setbit(z0, 6); + + darray_t fac, mul; + darray_init(fac); + darray_init(mul); + struct addfm_scope_var v = {.fac = fac, .mul = mul}; + pbc_trial_divide((int(*)(mpz_t,unsigned,void*))addfm, &v, q1, z0); + + for (i=0; i<mul->count; i++) { + unsigned int m = (unsigned int) mul->item[i]; + if (m != 1) { + //TODO + printf("p-adics not implemented yet\n"); + return; + } + } + + { + double dq = mpz_get_d(q); + //r = exp(sqrt(log(dq)*log(log(dq)))); + //printf("r = %d\n", r); + r = exp(1.2 * sqrt(log(dq))); + printf("r = %d\n", r); + } + mpz_t *ind = pbc_malloc(sizeof(mpz_t) * r); + for (i=0; i<r; i++) mpz_init(ind[i]); + + if (is_gen(g, q, fac, mul)) { + + index_calculus_step1(ind, r, g, q, fac, mul); + + index_calculus_step2(x, ind, r, g, h, q); + } else { + mpz_t y, z; + mpz_t d; + + mpz_init(d); + mpz_init(y); + mpz_init(z); + do { + pbc_mpz_random(z, q); + } while (!is_gen(z, q, fac, mul)); + + gmp_printf("new gen: %Zd\n", z); + + index_calculus_step1(ind, r, z, q, fac, mul); + //slow_index_calculus_step1(ind, r, z, q, fac, mul); + + index_calculus_step2(x, ind, r, z, g, q); + index_calculus_step2(y, ind, r, z, h, q); + //want y / x mod q-1 + mpz_gcd(d, x, q1); + mpz_divexact(q1, q1, d); + mpz_divexact(x, x, d); + //if y not divisible by d there is no solution + mpz_divexact(y, y, d); + mpz_invert(x, x, q1); + mpz_mul(x, y, x); + mpz_mod(x, x, q1); + + do { + mpz_powm(z0, g, x, q); + if (!mpz_cmp(z0, h)) { + break; + } + mpz_add(x, x, q1); + mpz_sub_ui(d, d, 1); + } while (mpz_sgn(d)); + + mpz_clear(d); + mpz_clear(y); + mpz_clear(z); + } + + for (i=0; i<r; i++) mpz_clear(ind[i]); + pbc_free(ind); + + darray_forall(fac, mpzclear); + darray_clear(mul); + darray_clear(fac); + mpz_clear(q1); + mpz_clear(z0); +} diff --git a/moon-abe/pbc-0.5.14/guru/param_parse_test.c b/moon-abe/pbc-0.5.14/guru/param_parse_test.c new file mode 100644 index 00000000..a345e2c1 --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/param_parse_test.c @@ -0,0 +1,26 @@ +// Exercises a bug reported by Michael Adjedj. +// +// In ecc/param.c, token_get() would increment a pointer past a terminating +// NUL, so the parser would keep attempting to read key/value pairs for a +// symbol table. If the memory after the string contains a duplicate key, +// then we have a memory leak because we strdup the value and misc/symtab.c +// overwrites existing elements during insert. +// +// Run with valgrind to spot the bug. +#include "pbc.h" + +int main(void) { + pairing_t p; + pairing_init_set_str(p, +"type a\n" +"q 8780710799663312522437781984754049815806883199414208211028653399266475630880222957078625179422662221423155858769582317459277713367317481324925129998224791\n" +"h 12016012264891146079388821366740534204802954401251311822919615131047207289359704531102844802183906537786776\n" +"r 730750818665451621361119245571504901405976559617\n" +"exp2 159\n" +"exp1 107\n" +"sign1 1\n" +"sign0 1\0a b a b\n" + ); + pairing_clear(p); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/guru/poly_test.c b/moon-abe/pbc-0.5.14/guru/poly_test.c new file mode 100644 index 00000000..08ff597f --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/poly_test.c @@ -0,0 +1,136 @@ +// Test polynomials. +#include "pbc.h" +#include "pbc_fp.h" +#include "pbc_poly.h" +#include "pbc_test.h" +#include "misc/darray.h" + +static void elfree(void *data) { + element_clear(data); + pbc_free(data); +} + +static void inner(void *data2, element_ptr f, field_t fx, darray_t prodlist) { + element_ptr g = data2; + if (!poly_degree(f) || !poly_degree(g)) return; + if (poly_degree(f) + poly_degree(g) > 3) return; + element_ptr h = pbc_malloc(sizeof(*h)); + element_init(h, fx); + element_mul(h, f, g); + darray_append(prodlist, h); + EXPECT(!poly_is_irred(h)); +} + +static void outer(void *data, darray_t list, field_t fx, darray_t prodlist) { + element_ptr f = data; + darray_forall4(list, (void(*)(void*,void*,void*,void*))inner, f, fx, prodlist); +} + +int isf(void *data, element_ptr f) { + element_ptr f1 = data; + return !element_cmp(f, f1); +} + +int main(void) { + field_t fp, fx; + mpz_t prime; + darray_t list; + int p = 7; + + // Exercise poly_is_irred() with a sieve of Erastosthenes for polynomials. + darray_init(list); + mpz_init(prime); + mpz_set_ui(prime, p); + field_init_fp(fp, prime); + field_init_poly(fx, fp); + element_t e; + element_init(e, fp); + // Enumerate polynomials in F_p[x] up to degree 2. + int a[3], d; + a[0] = a[1] = a[2] = 0; + for(;;) { + element_ptr f = pbc_malloc(sizeof(*f)); + element_init(f, fx); + int j; + for(j = 0; j < 3; j++) { + element_set_si(e, a[j]); + poly_set_coeff(f, e, j); + } + + // Test poly_degree(). + for(j = 2; j >= 0 && !a[j]; j--); + EXPECT(poly_degree(f) == j); + + // Add monic polynomials to the list. + if (j >= 0 && a[j] == 1) darray_append(list, f); + else { + element_clear(f); + pbc_free(f); + } + + // Next! + d = 0; + for(;;) { + a[d]++; + if (a[d] >= p) { + a[d] = 0; + d++; + if (d > 2) goto break2; + } else break; + } + } +break2: ; + + // Find all composite monic polynomials of degree 3 or less. + darray_t prodlist; + darray_init(prodlist); + + darray_forall4(list, (void(*)(void*,void*,void*,void*))outer, list, fx, prodlist); + + // Enumerate all monic polynomials in F_p[x] up to degree 3. + a[0] = a[1] = a[2] = 0; + for(;;) { + element_t f; + element_init(f, fx); + int j; + for(j = 0; j < 3; j++) { + element_set_si(e, a[j]); + poly_set_coeff(f, e, j); + } + for(j = 2; j >= 0 && !a[j]; j--); + element_set1(e); + poly_set_coeff(f, e, j + 1); + + // Check f is a unit or appears on the list of composites if and only if + // poly_is_irred() returns 0. + if (poly_is_irred(f)) { + EXPECT(!darray_at_test(prodlist, (int(*)(void*,void*))isf, f)); + } else if (poly_degree(f)) { + EXPECT(darray_at_test(prodlist, (int(*)(void*,void*))isf, f)); + } + element_clear(f); + + // Next! + d = 0; + for(;;) { + a[d]++; + if (a[d] >= p) { + a[d] = 0; + d++; + if (d > 2) goto break3; + } else break; + } + } +break3: ; + + darray_forall(list, elfree); + darray_forall(prodlist, elfree); + darray_clear(prodlist); + darray_clear(list); + mpz_clear(prime); + field_clear(fx); + field_clear(fp); + element_clear(e); + + return pbc_err_count; +} diff --git a/moon-abe/pbc-0.5.14/guru/prodpairing_test.c b/moon-abe/pbc-0.5.14/guru/prodpairing_test.c new file mode 100644 index 00000000..083f4a66 --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/prodpairing_test.c @@ -0,0 +1,44 @@ +// Check product of pairings works for F pairings when initialized via +// pairing_init_pbc_param(). +// +// By Michael Adjedj, Ben Lynn. +#include "pbc.h" +#include "pbc_test.h" + +int main(void) { + pbc_param_t param; + + pbc_param_init_f_gen(param, 200); + pairing_t pairing; + pairing_init_pbc_param(pairing, param); + + element_t P[2], Q[2], res, tmp, tmp2; + + element_init_G1(P[0], pairing); element_random(P[0]); + element_init_G1(P[1], pairing); element_random(P[1]); + + element_init_G2(Q[0], pairing); element_random(Q[0]); + element_init_G2(Q[1], pairing); element_random(Q[1]); + + element_init_GT(res, pairing); + element_init_GT(tmp, pairing); + element_init_GT(tmp2, pairing); + + element_prod_pairing(res, P, Q, 2); + element_pairing(tmp, P[0], Q[0]); + element_pairing(tmp2, P[1], Q[1]); + element_mul(tmp, tmp, tmp2); + EXPECT(!element_cmp(res, tmp)); + + element_clear(P[0]); + element_clear(P[1]); + element_clear(Q[0]); + element_clear(Q[1]); + element_clear(res); + element_clear(tmp); + element_clear(tmp2); + + pairing_clear(pairing); + pbc_param_clear(param); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/guru/quadratic_test.c b/moon-abe/pbc-0.5.14/guru/quadratic_test.c new file mode 100644 index 00000000..3f78e95a --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/quadratic_test.c @@ -0,0 +1,62 @@ +// Test quadratic field extensions. + +#include "pbc.h" +#include "pbc_fp.h" +#include "pbc_fieldquadratic.h" +#include "pbc_test.h" + +int main(void) { + field_t fp, fp2; + mpz_t prime; + element_t a, b, c; + + mpz_init(prime); + // Prime is 3 mod 4 so that -1 is a quadratic nonresidue. + // For smaller tests, try the prime 83. + mpz_setbit(prime, 256); + do { + mpz_nextprime(prime, prime); + } while (mpz_fdiv_ui(prime, 4) != 3); + + field_init_fp(fp, prime); + field_init_fi(fp2, fp); + element_init(a, fp2); + element_init(b, fp2); + element_init(c, fp2); + + element_printf("field: %Z^2\n", prime); + + element_random(a); + element_random(b); + element_printf("a = %B, b = %B\n", a, b); + + element_add(c, a, b); + element_printf("a + b = %B\n", c); + + element_mul(c, a, b); + element_printf("a * b = %B\n", c); + + for (;;) { + element_random(a); + element_printf("new a = %B\n", a); + + if (element_is_sqr(a)) break; + printf(" is not a square\n"); + } + element_sqrt(c, a); + element_printf("sqrt(a) = %B\n", c); + element_mul(c, c, c); + element_printf("sqrt(a) * sqrt(a) = %B\n", c); + element_invert(c, a); + element_printf("1/a = %B\n", c); + element_mul(c, c, a); + element_printf("1/a * a = %B\n", c); + + element_clear(a); + element_clear(b); + element_clear(c); + field_clear(fp); + field_clear(fp2); + mpz_clear(prime); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/guru/sing.c b/moon-abe/pbc-0.5.14/guru/sing.c new file mode 100644 index 00000000..d29e3ff5 --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/sing.c @@ -0,0 +1,263 @@ +/* + * Example of a singular curve, similar to 19.c + * but the Tate pairing degenerates + * + * Consider the curve E: y^2 = x^3 + x^2 over F_19: + * E_ns(F_19) is a cyclic group of order 18. + */ + +#include "pbc.h" +#include "pbc_singular.h" +#include "pbc_fp.h" + +static void miller(element_t res, element_t P, element_t Q, element_t R, int n) +{ + //collate divisions + int m; + element_t v, vd; + element_t Z; + element_t a, b, c; + element_t e0, e1; + mpz_t q; + element_ptr Zx, Zy; + const element_ptr Px = curve_x_coord(P); + const element_ptr Py = curve_y_coord(P); + const element_ptr numx = curve_x_coord(Q); + const element_ptr numy = curve_y_coord(Q); + const element_ptr denomx = curve_x_coord(R); + const element_ptr denomy = curve_y_coord(R); + + void do_vertical(element_t e, element_t edenom) + { + element_sub(e0, numx, Zx); + element_mul(e, e, e0); + + element_sub(e0, denomx, Zx); + element_mul(edenom, edenom, e0); + } + + void do_tangent(element_t e, element_t edenom) + { + //a = -slope_tangent(A.x, A.y); + //b = 1; + //c = -(A.y + a * A.x); + //but we multiply by 2*A.y to avoid division + + //a = -Ax * (Ax + Ax + Ax + twicea_2) - a_4; + //This curve is special: + //a = -(3 Ax^2 + 2Ax) + //b = 2 * Ay + //c = -(2 Ay^2 + a Ax); + + if (element_is0(Zy)) { + do_vertical(e, edenom); + return; + } + element_square(a, Zx); + element_mul_si(a, a, 3); + element_add(a, a, Zx); + element_add(a, a, Zx); + element_neg(a, a); + + element_add(b, Zy, Zy); + + element_mul(e0, b, Zy); + element_mul(c, a, Zx); + element_add(c, c, e0); + element_neg(c, c); + + element_mul(e0, a, numx); + element_mul(e1, b, numy); + element_add(e0, e0, e1); + element_add(e0, e0, c); + element_mul(e, e, e0); + + element_mul(e0, a, denomx); + element_mul(e1, b, denomy); + element_add(e0, e0, e1); + element_add(e0, e0, c); + element_mul(edenom, edenom, e0); + } + + void do_line(element_ptr e, element_ptr edenom) + { + if (!element_cmp(Zx, Px)) { + if (!element_cmp(Zy, Py)) { + do_tangent(e, edenom); + } else { + do_vertical(e, edenom); + } + return; + } + + element_sub(b, Px, Zx); + element_sub(a, Zy, Py); + element_mul(c, Zx, Py); + element_mul(e0, Zy, Px); + element_sub(c, c, e0); + + element_mul(e0, a, numx); + element_mul(e1, b, numy); + element_add(e0, e0, e1); + element_add(e0, e0, c); + element_mul(e, e, e0); + + element_mul(e0, a, denomx); + element_mul(e1, b, denomy); + element_add(e0, e0, e1); + element_add(e0, e0, c); + element_mul(edenom, edenom, e0); + } + + element_init(a, res->field); + element_init(b, res->field); + element_init(c, res->field); + element_init(e0, res->field); + element_init(e1, res->field); + + element_init(v, res->field); + element_init(vd, res->field); + element_init(Z, P->field); + + element_set(Z, P); + Zx = curve_x_coord(Z); + Zy = curve_y_coord(Z); + + element_set1(v); + element_set1(vd); + + mpz_init(q); + mpz_set_ui(q, n); + m = mpz_sizeinbase(q, 2) - 2; + + while(m >= 0) { + element_square(v, v); + element_square(vd, vd); + do_tangent(v, vd); + element_double(Z, Z); + do_vertical(vd, v); + + if (mpz_tstbit(q, m)) { + do_line(v, vd); + element_add(Z, Z, P); + if (m) { + do_vertical(vd, v); + } + } + m--; + } + + mpz_clear(q); + + element_invert(vd, vd); + element_mul(res, v, vd); + + element_clear(v); + element_clear(vd); + element_clear(Z); + element_clear(a); + element_clear(b); + element_clear(c); + element_clear(e0); + element_clear(e1); +} + +static void tate_3(element_ptr out, element_ptr P, element_ptr Q, element_ptr R) +{ + mpz_t six; + + mpz_init(six); + mpz_set_ui(six, 6); + element_t QR; + element_t e0; + + element_init(QR, P->field); + element_init(e0, out->field); + + element_add(QR, Q, R); + + //for subgroup size 3, -2P = P, hence + //the tangent line at P has divisor 3(P) - 3(O) + + miller(out, P, QR, R, 3); + + element_pow_mpz(out, out, six); + element_clear(QR); + element_clear(e0); + mpz_clear(six); +} + +static void tate_9(element_ptr out, element_ptr P, element_ptr Q, element_ptr R) +{ + element_t QR; + element_init(QR, P->field); + + element_add(QR, Q, R); + + miller(out, P, QR, R, 9); + + element_square(out, out); + + element_clear(QR); +} + +int main(void) +{ + field_t c; + field_t Z19; + element_t P, Q, R; + mpz_t q, z; + element_t a; + int i; + + mpz_init(q); + mpz_init(z); + + mpz_set_ui(q, 19); + + field_init_fp(Z19, q); + element_init(a, Z19); + + field_init_curve_singular_with_node(c, Z19); + + element_init(P, c); + element_init(Q, c); + element_init(R, c); + + //(3,+/-6) is a generator + //we have an isomorphism from E_ns to F_19^* + // (3,6) --> 3 + //(generally (x,y) --> (y+x)/(y-x) + + curve_set_si(R, 3, 6); + + for (i=1; i<=18; i++) { + mpz_set_si(z, i); + element_mul_mpz(Q, R, z); + element_printf("%dR = %B\n", i, Q); + } + + mpz_set_ui(z, 6); + element_mul_mpz(P, R, z); + //P has order 3 + element_printf("P = %B\n", P); + + for (i=1; i<=3; i++) { + mpz_set_si(z, i); + element_mul_mpz(Q, R, z); + tate_3(a, P, Q, R); + element_printf("e_3(P,%dP) = %B\n", i, a); + } + + element_double(P, R); + //P has order 9 + element_printf("P = %B\n", P); + for (i=1; i<=9; i++) { + mpz_set_si(z, i); + element_mul_mpz(Q, P, z); + tate_9(a, P, Q, R); + element_printf("e_9(P,%dP) = %B\n", i, a); + } + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/guru/ternary_extension_field_test.c b/moon-abe/pbc-0.5.14/guru/ternary_extension_field_test.c new file mode 100644 index 00000000..b431e4fa --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/ternary_extension_field_test.c @@ -0,0 +1,240 @@ +/* test ternary extension fields $GF(3^m)$, $GF(3^{2*m})$, $GF(3^{3*m})$ and $GF(3^{6*m})$ + Outputing nothing if everything is good. */ + +#include "pbc.h" +#include "pbc_ternary_extension_field.h" +#include "pbc_test.h" +#include <string.h> +#include <stdio.h> + +typedef struct { + unsigned int len; + unsigned int m; + unsigned int t; + element_ptr p; +} params; + +#define data(x) ((unsigned long*)x->data) +#define params(x) ((params *)x->field->data) +#define print(e) {printf(#e": "); element_out_str(stdout, 0, e); printf("\n");} + +static field_t f97, f97_2, f97_3, f97_6; +static element_t e0, e1, e2, a, b, a2, b2, a3, b3, a6, b6; +static unsigned char *data; + +static void test_gf3m_param(void) { + params *pa = (params *) f97->data; + element_to_bytes(data, pa->p); + unsigned i; + unsigned char w; + for (i = 0; i < pa->len * 2 * sizeof(unsigned long); i++) { + switch (i) { + case 1: + w = 1; + break; // 2 + case 2: + w = 16; + break; // x^12 + case 24: + w = 2; + break; // x^97 + default: + w = 0; + } + EXPECT(data[i] == w); + } +} + +static void test_gf3m_to_bytes(void) { + element_random(a); + element_to_bytes(data, a); + element_from_bytes(b, data); + EXPECT(0 == element_cmp(a, b)); +} + +static void test_gf3m_add(void) { + element_random(a); + element_add(b, a, a); + element_add(b, b, b); + element_sub(b, b, a); + element_sub(b, b, a); + element_sub(b, b, a); + EXPECT(!element_cmp(a, b)); + + element_add(b, params(a)->p, a); + element_sub(b, b, params(a)->p); + EXPECT(!element_cmp(a, b)); +} + +static void test_gf3m_neg(void) { + element_random(a); + element_neg(b, a); + element_add(b, a, b); + EXPECT(!element_cmp(b, e0)); +} + +static void test_gf3m_mult(void) { + element_random(a); + element_mul(a, a, e0); + EXPECT(!element_cmp(a, e0)); + + element_random(a); + element_mul(b, a, e1); + EXPECT(!element_cmp(a, b)); + + element_random(a); + element_mul(b, a, e2); + element_add(a, a, b); + EXPECT(!element_cmp(a, e0)); +} + +static void test_gf3m_cubic(void) { + element_random(a); + element_mul(b, a, a); + element_mul(b, a, b); + element_cubic(a, a); + EXPECT(!element_cmp(a, b)); +} + +static void test_gf3m_cubic2(void) { + unsigned long x[] = {1153286547535200267ul, 6715371622ul, 4990694927524257316ul, 210763913ul}; + unsigned long y[] = {8145587063258678275ul, 6451025920ul, 9976895054123379152ul, 1275593166ul}; + memcpy(a->data, x, sizeof(x)); + memcpy(b->data, y, sizeof(y)); + element_cubic(a, a); + EXPECT(!element_cmp(a, b)); +} + +static void test_gf3m_inverse(void) { + element_set1(a); + element_invert(b, a); + EXPECT(!element_cmp(b, e1)); + + element_set(a, e2); + element_invert(b, a); + EXPECT(!element_cmp(b, e2)); + + element_random(a); + element_invert(b, a); + element_mul(a, a, b); + EXPECT(!element_cmp(a, e1)); +} + +static void test_gf3m_sqrt(void) { + mpz_t t; + mpz_init(t); + mpz_sub_ui(t, a->field->order, 1); // t == field_order - 1 + element_random(a); + element_pow_mpz(a, a, t); + EXPECT(!element_cmp(a, e1)); + + while(1){ + element_random(a); + element_mul(b, a, a); + element_sqrt(b, b); + if(element_cmp(a, b)) {// a != b + element_neg(b, b); + if(!element_cmp(a, b)) break; + } + } + mpz_clear(t); +} + +static void test_gf32m_cubic(void) { + element_random(a2); + element_mul(b2, a2, a2); + element_mul(b2, b2, a2); + element_cubic(a2, a2); + EXPECT(!element_cmp(a2, b2)); +} + +static void test_gf33m_cubic(void) { + element_random(a3); + element_mul(b3, a3, a3); + element_mul(b3, b3, a3); + element_cubic(a3, a3); + EXPECT(!element_cmp(a3, b3)); +} + +static void test_gf33m_inverse(void) { + element_random(a3); + element_invert(b3, a3); + element_mul(a3, a3, b3); + element_ptr a0 = element_item(a3, 0); + EXPECT(!element_cmp(a0, e1)); +} + +static void test_gf36m_cubic(void) { + element_random(a6); + element_mul(b6, a6, a6); + element_mul(b6, b6, a6); + element_cubic(a6, a6); + EXPECT(!element_cmp(a6, b6)); +} + +void setup(void) { + field_init_gf3m(f97, 97, 12); + element_init(a, f97); + element_init(b, f97); + element_init(e0, f97); + element_init(e1, f97); + element_init(e2, f97); + element_set1(e1); + element_neg(e2, e1); + + field_init_gf32m(f97_2, f97); + element_init(a2, f97_2); + element_init(b2, f97_2); + + field_init_gf33m(f97_3, f97); + element_init(a3, f97_3); + element_init(b3, f97_3); + + field_init_gf33m(f97_6, f97_2); + element_init(a6, f97_6); + element_init(b6, f97_6); + + data = pbc_malloc(f97->fixed_length_in_bytes); +} + +void tear_down(void) { + pbc_free(data); + + element_clear(e0); + element_clear(e1); + element_clear(e2); + element_clear(a); + element_clear(b); + element_clear(a2); + element_clear(b2); + element_clear(a3); + element_clear(b3); + element_clear(a6); + element_clear(b6); + + field_clear(f97_6); + field_clear(f97_3); + field_clear(f97_2); + field_clear(f97); +} + +int main(void) { + setup(); + + test_gf3m_param(); + test_gf3m_to_bytes(); + test_gf3m_add(); + test_gf3m_neg(); + test_gf3m_mult(); + test_gf3m_cubic(); + test_gf3m_cubic2(); + test_gf3m_inverse(); + test_gf3m_sqrt(); + test_gf32m_cubic(); + test_gf33m_cubic(); + test_gf33m_inverse(); + test_gf36m_cubic(); + + tear_down(); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/guru/testindexcalculus.c b/moon-abe/pbc-0.5.14/guru/testindexcalculus.c new file mode 100644 index 00000000..1bb36146 --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/testindexcalculus.c @@ -0,0 +1,29 @@ +#include <stdio.h> +#include <gmp.h> +#include "pbc.h" + +int main(int argc, char **argv) +{ + mpz_t x; + mpz_t g, h, q; + mpz_init(x); + mpz_init(g); + mpz_init(h); + mpz_init(q); + int bits = 40; + + if (argc == 2) { + bits = atoi(argv[1]); + } + mpz_setbit(q, bits); + pbc_mpz_random(q, q); + mpz_nextprime(q, q); + pbc_mpz_random(g, q); + pbc_mpz_random(h, q); + mpz_powm(h, g, h, q); + + element_dlog_index_calculus(x, g, h, q); + element_printf("%Zd^%Zd %% %Zd = %Zd\n", g, x, q, h); + + return 0; +} diff --git a/moon-abe/pbc-0.5.14/guru/timefp.c b/moon-abe/pbc-0.5.14/guru/timefp.c new file mode 100644 index 00000000..6e308f9a --- /dev/null +++ b/moon-abe/pbc-0.5.14/guru/timefp.c @@ -0,0 +1,98 @@ +#include "pbc.h" +#include "pbc_fp.h" +#include "pbc_test.h" + +static void timefield(field_t fp) { + int i, n; + double t0, t1; + + element_t x, y, z; + element_init(x, fp); + element_init(y, fp); + element_init(z, fp); + + element_random(x); + element_random(y); + + n = 20000; + t0 = pbc_get_time(); + for (i=0; i<n; i++) { + element_mul(z, x, y); + element_mul(x, y, z); + element_mul(y, z, x); + } + t1 = pbc_get_time(); + printf("mul %fs\n", t1 - t0); + + n = 20000; + t0 = pbc_get_time(); + for (i=0; i<n; i++) { + element_square(x, x); + } + t1 = pbc_get_time(); + printf("square %fs\n", t1 - t0); + + n = 1000; + t0 = pbc_get_time(); + for (i=0; i<n; i++) { + element_invert(z, x); + element_invert(z, y); + } + t1 = pbc_get_time(); + printf("invert %fs\n", t1 - t0); + + n = 40000; + t0 = pbc_get_time(); + for (i=0; i<n; i++) { + element_set0(z); + } + t1 = pbc_get_time(); + printf("set0 %fs\n", t1 - t0); + + n = 40000; + t0 = pbc_get_time(); + for (i=0; i<n; i++) { + element_set(z, x); + element_set(z, y); + } + t1 = pbc_get_time(); + printf("set %fs\n", t1 - t0); + + n = 400; + t0 = pbc_get_time(); + for (i=0; i<n; i++) { + element_pow_zn(x, y, z); + } + t1 = pbc_get_time(); + printf("pow_zn %fs\n", t1 - t0); + + element_clear(x); + element_clear(y); + element_clear(z); +} + +int main(int argc, char **argv) { + field_t f1, f2; + mpz_t prime; + + mpz_init(prime); + if (argc > 1) { + mpz_setbit(prime, atoi(argv[1])); + } else { + mpz_setbit(prime, 201); + } + mpz_setbit(prime, 70); + mpz_nextprime(prime, prime); + field_init_mont_fp(f1, prime); + field_init_faster_fp(f2, prime); + + printf("montfp.c\n"); + timefield(f1); + printf("fasterfp.c\n"); + timefield(f2); + + mpz_clear(prime); + field_clear(f1); + field_clear(f2); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/include/pbc.h b/moon-abe/pbc-0.5.14/include/pbc.h new file mode 100644 index 00000000..a963719b --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc.h @@ -0,0 +1,34 @@ +#ifndef __PBC_H__ +#define __PBC_H__ + +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <gmp.h> + +#if defined (__cplusplus) +extern "C" { +#endif + +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_param.h" +#include "pbc_pairing.h" +#include "pbc_curve.h" +#include "pbc_mnt.h" +#include "pbc_a1_param.h" +#include "pbc_a_param.h" +#include "pbc_d_param.h" +#include "pbc_e_param.h" +#include "pbc_f_param.h" +#include "pbc_g_param.h" +#include "pbc_i_param.h" +#include "pbc_random.h" +#include "pbc_memory.h" + +#if defined (__cplusplus) +} // extern "C" +#endif + +#endif //__PBC_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_a1_param.h b/moon-abe/pbc-0.5.14/include/pbc_a1_param.h new file mode 100644 index 00000000..74dd9b1d --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_a1_param.h @@ -0,0 +1,25 @@ +// requires +// * gmp.h +// * param.h +#ifndef __PBC_A1_PARAM_H__ +#define __PBC_A1_PARAM_H__ + +struct symtab_s; +int pbc_param_init_a1(pbc_param_ptr par, struct symtab_s *tab); + +/*@manual a1param +Generate type A1 pairing parameters and store them in 'p'. The group order +will be 'n'. The order of the base field is a few bits longer. To be secure, +generic discrete log algorithms must be infeasible in groups of order 'n', and +finite field discrete log algorithms must be infeasible in finite fields of +order roughly 'n'^2^. Additionally, 'n' should be hard to factorize. + +For example: 'n' a product of two primes, each at least 512 bits. + +The file `param/a1.param` contains sample parameters for a +type A1 pairing, but it is only for benchmarking: it is useless without +the factorization of +n+, the order of the group. +*/ +void pbc_param_init_a1_gen(pbc_param_t param, mpz_t n); + +#endif //__PBC_A1_PARAM_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_a_param.h b/moon-abe/pbc-0.5.14/include/pbc_a_param.h new file mode 100644 index 00000000..64d70468 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_a_param.h @@ -0,0 +1,25 @@ +// Type A pairing parameters. + +// Requires: +// * param.h +#ifndef __PBC_A_PARAM_H__ +#define __PBC_A_PARAM_H__ + +struct symtab_s; +int pbc_param_init_a(pbc_param_ptr par, struct symtab_s *tab); + +/*@manual aparam +Generate type A pairing parameters and store them in 'p', +where the group order r is 'rbits' long, and the order of the base field q +is 'qbits' long. Elements take 'qbits' to represent. + +To be secure, generic discrete log algorithms must be infeasible in groups of +order r, and finite field discrete log algorithms must be infeasible in finite +fields of order q^2, e.g. 'rbits' = 160, 'qbits' = 512. + +The file `param/a.param` contains parameters for a type A pairing suitable for +cryptographic use. +*/ +void pbc_param_init_a_gen(pbc_param_ptr par, int rbits, int qbits); + +#endif //__PBC_A_PARAM_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_curve.h b/moon-abe/pbc-0.5.14/include/pbc_curve.h new file mode 100644 index 00000000..9a86903d --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_curve.h @@ -0,0 +1,79 @@ +// A subgroup of the group of points on an elliptic curve. +// Also used to represent quotient groups. +// +// We use the field_t structure even though E(K) is a group. Addition and +// multiplication both refer to the group operation. + +// Requires: +// * stdio.h +// * gmp.h +// * field.h +#ifndef __PBC_CURVE_H__ +#define __PBC_CURVE_H__ + +// Some initialization functions take an order parameter. This is meant to +// be the order of the subgroup, but might actually be the order of the twist. +// Certain routines initialize a curve, test a random point to see if it has +// the correct order, and if not, immediately twist the curve so that it does. +// TODO: Move such code into curve.c, so 'order' is always accurate. + +// If cofac != NULL, then the field_t represents the subgroup of +// order = #E(K) / cofac. +// +// If not, and order = #E(K) then the field_t represents the entire E(K). +// +// Otherwise, if order is a factor of #E(K), then the field_t represents +// the quotient group of that order, namely E(K)/(#E(K)/order). No attempt is +// made to standardize the coset representative. This mode is useful for the +// Tate pairing (see thesis), where any coset representative of G2 suffices +// during the pairing computation. + +// Initialize a subgroup of points on the curve Y^2 = X^3 + b. +void field_init_curve_b(field_ptr f, element_ptr b, mpz_t order, mpz_t cofac); + +// Initialize a subgroup of points on the curve with the given j-invariant. +void field_init_curve_j(field_t f, element_ptr j, mpz_t order, mpz_t cofac); + +// Initialize a subgroup of points on the curve Y^2 = X^3 + a X + b. +void field_init_curve_ab(field_ptr f, element_ptr a, element_ptr b, mpz_t order, mpz_t cofac); + +// Reinitialize as the subgroup of points on the twist curve. +// Requires j-invariant of the original curve != 0, 1728. +// Mangles f, thus existing points of f become invalid. +// TODO: Refactor so we can remove this from the interface. +void field_reinit_curve_twist(field_t f); + +// Compute trace of Frobenius at q^n given trace at q. +void pbc_mpz_trace_n(mpz_t res, mpz_t q, mpz_t trace, int n); + +// Given q, t such that #E(F_q) = q - t + 1, compute #E(F_q^k). +void pbc_mpz_curve_order_extn(mpz_t res, mpz_t q, mpz_t t, int k); + +void field_init_curve_with_map(field_ptr cnew, field_ptr c, + field_ptr dstfield, fieldmap map); + +void field_init_curve_ab_map(field_t cnew, field_t c, + fieldmap map, field_ptr mapdest, + mpz_t ordernew, mpz_t cofacnew); + +void field_curve_use_random_solvefory(field_ptr f); + +void field_curve_set_quotient_cmp(field_ptr c, mpz_t quotient_cmp); + +#pragma GCC visibility push(hidden) +// Internal: + +element_ptr curve_x_coord(element_t e); +element_ptr curve_y_coord(element_t e); +element_ptr curve_a_coeff(element_t e); +element_ptr curve_b_coeff(element_t e); +element_ptr curve_field_a_coeff(field_t f); +element_ptr curve_field_b_coeff(field_t f); + +void curve_from_x(element_ptr e, element_t x); +void curve_set_si(element_t R, long int x, long int y); +void curve_set_gen_no_cofac(element_ptr a); + +#pragma GCC visibility pop + +#endif //__PBC_CURVE_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_d_param.h b/moon-abe/pbc-0.5.14/include/pbc_d_param.h new file mode 100644 index 00000000..41fcfc30 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_d_param.h @@ -0,0 +1,40 @@ +// Type D pairings, aka MNT curves. + +// Requires: +// * mnt.h +// * param.h +#ifndef __PBC_D_PARAM_H__ +#define __PBC_D_PARAM_H__ + +struct symtab_s; +int pbc_param_init_d(pbc_param_ptr par, struct symtab_s *tab); + +/*@manual dparam +Type D curves are generated using the complex multiplication (CM) method. This +function sets 'p' to a type D pairing parameters from CM parameters 'cm'. +Other library calls search for appropriate CM parameters and the results +can be passed to this function. + +To be secure, generic discrete log algorithms must be infeasible in groups of +order r, and finite field discrete log algorithms must be infeasible in finite +fields of order q^6^. For usual CM parameters, r is a few bits smaller than q. + +Using type D pairings allows elements of group G1 to be quite short, typically +170-bits. Because of a certain trick, elements of group G2 need only be 3 times +longer, that is, about 510 bits rather than 6 times long. They are not quite +as short as type F pairings, but much faster. + +I sometimes refer to a type D curve as a triplet of numbers: the discriminant, +the number of bits in the prime q, and the number of bits in the prime r. The +`gen/listmnt` program prints these numbers. + +Among the bundled type D curve parameters are the curves 9563-201-181, +62003-159-158 and 496659-224-224 which have shortened names `param/d201.param`, +`param/d159.param` and `param/d225.param` respectively. + +See `gen/listmnt.c` and `gen/gendparam.c` for how to generate type D pairing +parameters. +*/ +void pbc_param_init_d_gen(pbc_param_ptr p, pbc_cm_ptr cm); + +#endif //__PBC_D_PARAM_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_e_param.h b/moon-abe/pbc-0.5.14/include/pbc_e_param.h new file mode 100644 index 00000000..e59ebe82 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_e_param.h @@ -0,0 +1,29 @@ +// Type E pairings. + +// Requires: +// * param.h +#ifndef __PBC_E_PARAM_H__ +#define __PBC_E_PARAM_H__ + +struct symtab_s; +int pbc_param_init_e(pbc_param_ptr par, struct symtab_s *tab); + +/*@manual eparam +Generate type E pairing parameters and store them in 'p', +where the group order r is 'rbits' long, and the order of the base field q +is 'qbits' long. To be secure, generic discrete log algorithms must +be infeasible in groups of order r, and finite field discrete log algorithms +must be infeasible in finite fields of order q, +e.g. 'rbits' = 160, 'qbits' = 1024. + +This pairing is just a curiosity: it can be implemented entirely in a field of +prime order, that is, only arithmetic modulo a prime is needed and there is +never a need to extend a field. + +If discrete log in field extensions are found to be substantially easier to +solve than previously thought, or discrete log can be solved in elliptic curves +as easily as they can be in finite fields, this pairing type may become useful. +*/ +void pbc_param_init_e_gen(pbc_param_t p, int rbits, int qbits); + +#endif //__PBC_E_PARAM_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_f_param.h b/moon-abe/pbc-0.5.14/include/pbc_f_param.h new file mode 100644 index 00000000..5c484a98 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_f_param.h @@ -0,0 +1,27 @@ +// Type F pairings. + +// Requires: +// * param.h +#ifndef __PBC_F_PARAM_H__ +#define __PBC_F_PARAM_H__ + +struct symtab_s; +int pbc_param_init_f(pbc_param_ptr par, struct symtab_s *tab); + +/*@manual fparam +Generate type F pairing parameters and store them in 'p'. +Both the group order r and the order of the base field q will be roughly +'bits'-bit numbers. +To be secure, generic discrete log algorithms must +be infeasible in groups of order r, and finite field discrete log algorithms +must be infeasible in finite fields of order q^12, e.g. 'bits' = 160. + +Type F should be used when the top priority is to minimize bandwidth (e.g. +short signatures). The current implementation makes them slow. + +If finite field discrete log algorithms improve further, type D pairings will +have to use larger fields, but type F can still remain short, up to a point. +*/ +void pbc_param_init_f_gen(pbc_param_t p, int bits); + +#endif //__PBC_F_PARAM_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_field.h b/moon-abe/pbc-0.5.14/include/pbc_field.h new file mode 100644 index 00000000..5bcb8c83 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_field.h @@ -0,0 +1,694 @@ +/* + * field_t: represents fields, rings and groups. + * element_t: represents an element of a field_t. + */ + +// Requires: +// * stdarg.h +// * stdio.h +// * gmp.h +// * utils.h +#ifndef __PBC_FIELD_H__ +#define __PBC_FIELD_H__ + +struct field_s; + +struct element_s { + struct field_s *field; + void *data; +}; +typedef struct element_s *element_ptr; +typedef struct element_s element_t[1]; + +struct element_pp_s { + struct field_s *field; + void *data; +}; +typedef struct element_pp_s element_pp_t[1]; +typedef struct element_pp_s *element_pp_ptr; + +void pbc_assert(int expr, char *msg, const char *func); +void pbc_assert_match2(element_ptr a, element_ptr b, const char *func); +void pbc_assert_match3(element_ptr a, element_ptr b, element_ptr c, + const char *func); + +struct multiz_s; +typedef struct multiz_s *multiz; + +struct pairing_s; +struct field_s { + void (*field_clear)(struct field_s *f); + void (*init)(element_ptr); + void (*clear)(element_ptr); + + void (*set_mpz)(element_ptr, mpz_ptr); + void (*set_multiz)(element_ptr, multiz); + void (*set)(element_ptr, element_ptr); + void (*set0)(element_ptr); + void (*set1)(element_ptr); + int (*set_str)(element_ptr e, const char *s, int base); + size_t(*out_str)(FILE *stream, int base, element_ptr); + void (*add)(element_ptr, element_ptr, element_ptr); + void (*sub)(element_ptr, element_ptr, element_ptr); + void (*mul)(element_ptr, element_ptr, element_ptr); + + int (*is_sqr)(element_ptr); + void (*sqrt)(element_ptr, element_ptr); + + // Defaults exist for these functions. + int (*item_count)(element_ptr); + element_ptr (*item)(element_ptr, int); + element_ptr (*get_x)(element_ptr); + element_ptr (*get_y)(element_ptr); + void (*set_si)(element_ptr, signed long int); + void (*add_ui)(element_ptr, element_ptr, unsigned long int); + void (*mul_mpz)(element_ptr, element_ptr, mpz_ptr); + void (*mul_si)(element_ptr, element_ptr, signed long int); + void (*div)(element_ptr, element_ptr, element_ptr); + void (*doub)(element_ptr, element_ptr); // Can't call it "double"! + void (*multi_doub)(element_ptr*, element_ptr*, int n); + void (*multi_add)(element_ptr*, element_ptr*, element_ptr*, int n); + void (*halve)(element_ptr, element_ptr); + void (*square)(element_ptr, element_ptr); + + void (*cubic) (element_ptr, element_ptr); + void (*pow_mpz)(element_ptr, element_ptr, mpz_ptr); + void (*invert)(element_ptr, element_ptr); + void (*neg)(element_ptr, element_ptr); + void (*random)(element_ptr); + void (*from_hash)(element_ptr, void *data, int len); + int (*is1)(element_ptr); + int (*is0)(element_ptr); + int (*sign)(element_ptr); // satisfies sign(x) = -sign(-x) + int (*cmp)(element_ptr, element_ptr); + int (*to_bytes)(unsigned char *data, element_ptr); + int (*from_bytes)(element_ptr, unsigned char *data); + int (*length_in_bytes)(element_ptr); + int fixed_length_in_bytes; // length of an element in bytes; -1 for variable + int (*snprint)(char *s, size_t n, element_ptr e); + void (*to_mpz)(mpz_ptr, element_ptr); + void (*out_info)(FILE *, struct field_s *); + void (*pp_init)(element_pp_t p, element_t in); + void (*pp_clear)(element_pp_t p); + void (*pp_pow)(element_t out, mpz_ptr power, element_pp_t p); + + struct pairing_s *pairing; + + mpz_t order; // 0 for infinite order + element_ptr nqr; // nonquadratic residue + + char *name; + void *data; +}; +typedef struct field_s *field_ptr; +typedef struct field_s field_t[1]; + +typedef void (*fieldmap) (element_t dst, element_t src); + +void field_out_info(FILE* out, field_ptr f); + +/*@manual internal +Initialize 'e' to be an element of the algebraic structure 'f' +and set it to be the zero element. +*/ +static inline void element_init(element_t e, field_ptr f) { + e->field = f; + f->init(e); +} + +element_ptr element_new(field_ptr f); +void element_free(element_ptr e); + +/*@manual einit +Initialize 'e' to be an element of the algebraic structure that 'e2' +lies in. +*/ +static inline void element_init_same_as(element_t e, element_t e2) { + element_init(e, e2->field); +} + +/*@manual einit +Free the space occupied by 'e'. Call this when +the variable 'e' is no longer needed. +*/ +static inline void element_clear(element_t e) { + e->field->clear(e); +} + +/*@manual eio +Output 'e' on 'stream' in base 'base'. The base must be between +2 and 36. +*/ +static inline size_t element_out_str(FILE * stream, int base, element_t e) { + return e->field->out_str(stream, base, e); +} + +/*@manual eio +*/ +int element_printf(const char *format, ...); + +/*@manual eio +*/ +int element_fprintf(FILE * stream, const char *format, ...); + +/*@manual eio +*/ +int element_snprintf(char *buf, size_t size, const char *fmt, ...); + +/*@manual eio +Same as printf family +except also has the 'B' conversion specifier for types +of *element_t*, and 'Y', 'Z' conversion specifiers for ++mpz_t+. For example if 'e' is of type ++element_t+ then + + element_printf("%B\n", e); + +will print the value of 'e' in a human-readable form on standard output. +*/ +int element_vsnprintf(char *buf, size_t size, const char *fmt, va_list ap); + +/*@manual eio +Convert an element to a human-friendly string. +Behaves as *snprintf* but only on one element at a time. +*/ +static inline int element_snprint(char *s, size_t n, element_t e) { + return e->field->snprint(s, n, e); +} + +static inline void element_set_multiz(element_t e, multiz m) { + e->field->set_multiz(e, m); +} + +/*@manual eio +Set the element 'e' from 's', a null-terminated C string in base 'base'. +Whitespace is ignored. Points have the form "['x,y']" or "'O'", +while polynomials have the form "['a0,...,an']". +Returns number of characters read (unlike GMP's mpz_set_str). +A return code of zero means PBC could not find a well-formed string +describing an element. +*/ +static inline int element_set_str(element_t e, const char *s, int base) { + return e->field->set_str(e, s, base); +} + +/*@manual eassign +Set 'e' to zero. +*/ +static inline void element_set0(element_t e) { + e->field->set0(e); +} + +/*@manual eassign +Set 'e' to one. +*/ +static inline void element_set1(element_t e) { + e->field->set1(e); +} + +/*@manual eassign +Set 'e' to 'i'. +*/ +static inline void element_set_si(element_t e, signed long int i) { + e->field->set_si(e, i); +} + +/*@manual eassign +Set 'e' to 'z'. +*/ +static inline void element_set_mpz(element_t e, mpz_t z) { + e->field->set_mpz(e, z); +} + +/*@manual eassign +Set 'e' to 'a'. +*/ +static inline void element_set(element_t e, element_t a) { + PBC_ASSERT_MATCH2(e, a); + e->field->set(e, a); +} + +static inline void element_add_ui(element_t n, element_t a, + unsigned long int b) { + n->field->add_ui(n, a, b); +} + +/*@manual econvert +Converts 'e' to a GMP integer 'z' +if such an operation makes sense +*/ +static inline void element_to_mpz(mpz_t z, element_t e) { + e->field->to_mpz(z, e); +} + +static inline long element_to_si(element_t e) { + mpz_t z; + mpz_init(z); + e->field->to_mpz(z, e); + long res = mpz_get_si(z); + mpz_clear(z); + return res; +} + +/*@manual econvert +Generate an element 'e' deterministically from +the 'len' bytes stored in the buffer 'data'. +*/ +static inline void element_from_hash(element_t e, void *data, int len) { + e->field->from_hash(e, data, len); +} + +/*@manual earith +Set 'n' to 'a' + 'b'. +*/ +static inline void element_add(element_t n, element_t a, element_t b) { + PBC_ASSERT_MATCH3(n, a, b); + n->field->add(n, a, b); +} + +/*@manual earith +Set 'n' to 'a' - 'b'. +*/ +static inline void element_sub(element_t n, element_t a, element_t b) { + PBC_ASSERT_MATCH3(n, a, b); + n->field->sub(n, a, b); +} + +/*@manual earith +Set 'n' = 'a' 'b'. +*/ +static inline void element_mul(element_t n, element_t a, element_t b) { + PBC_ASSERT_MATCH3(n, a, b); + n->field->mul(n, a, b); +} + +static inline void element_cubic(element_t n, element_t a) { + PBC_ASSERT_MATCH2(n, a); + n->field->cubic(n, a); +} + +/*@manual earith +*/ +static inline void element_mul_mpz(element_t n, element_t a, mpz_t z) { + PBC_ASSERT_MATCH2(n, a); + n->field->mul_mpz(n, a, z); +} + +/*@manual earith +Set 'n' = 'a' 'z', that is 'a' + 'a' + ... + 'a' where there are 'z' 'a'#'s#. +*/ +static inline void element_mul_si(element_t n, element_t a, + signed long int z) { + PBC_ASSERT_MATCH2(n, a); + n->field->mul_si(n, a, z); +} + +/*@manual earith +'z' must be an element of a integer mod ring (i.e. *Z*~n~ for some n). +Set 'c' = 'a' 'z', that is 'a' + 'a' + ... + 'a' +where there are 'z' 'a''s. +*/ +static inline void element_mul_zn(element_t c, element_t a, element_t z) { + mpz_t z0; + PBC_ASSERT_MATCH2(c, a); + //TODO: check z->field is Zn + mpz_init(z0); + element_to_mpz(z0, z); + element_mul_mpz(c, a, z0); + mpz_clear(z0); +} + +/*@manual earith +Set 'n' = 'a' / 'b'. +*/ +static inline void element_div(element_t n, element_t a, element_t b) { + PBC_ASSERT_MATCH3(n, a, b); + n->field->div(n, a, b); +} + +/*@manual earith +Set 'n' = 'a' + 'a'. +*/ +static inline void element_double(element_t n, element_t a) { + PBC_ASSERT_MATCH2(n, a); + n->field->doub(n, a); +} + +// Set n_i = a_i + a_i for all i at one time. +// Uses multi_doub(), which only elliptic curves have at the moment. +void element_multi_double(element_t n[], element_t a[], int m); + +// Set n_i =a_i + b_i for all i at one time. +// Uses multi_add(), which only elliptic curves have at the moment. +void element_multi_add(element_t n[], element_t a[],element_t b[], int m); + +/*@manual earith +Set 'n' = 'a/2' +*/ +static inline void element_halve(element_t n, element_t a) { + PBC_ASSERT_MATCH2(n, a); + n->field->halve(n, a); +} + +/*@manual earith +Set 'n' = 'a'^2^ +*/ +static inline void element_square(element_t n, element_t a) { + PBC_ASSERT_MATCH2(n, a); + n->field->square(n, a); +} + +/*@manual epow +Set 'x' = 'a'^'n'^, that is +'a' times 'a' times ... times 'a' where there are 'n' 'a'#'s#. +*/ +static inline void element_pow_mpz(element_t x, element_t a, mpz_t n) { + PBC_ASSERT_MATCH2(x, a); + x->field->pow_mpz(x, a, n); +} + +/*@manual epow +Set 'x' = 'a'^'n'^, where 'n' is an element of a ring *Z*~N~ +for some 'N' (typically the order of the algebraic structure 'x' lies in). +*/ +static inline void element_pow_zn(element_t x, element_t a, element_t n) { + mpz_t z; + PBC_ASSERT_MATCH2(x, a); + mpz_init(z); + element_to_mpz(z, n); + element_pow_mpz(x, a, z); + mpz_clear(z); +} + +/*@manual earith +Set 'n' = -'a'. +*/ +static inline void element_neg(element_t n, element_t a) { + PBC_ASSERT_MATCH2(n, a); + n->field->neg(n, a); +} + +/*@manual earith +Set 'n' to the inverse of 'a'. +*/ +static inline void element_invert(element_t n, element_t a) { + PBC_ASSERT_MATCH2(n, a); + n->field->invert(n, a); +} + +/*@manual erandom +If the 'e' lies in a finite algebraic structure, +assigns a uniformly random element to 'e'. +*/ +static inline void element_random(element_t e) { + e->field->random(e); +} + +/*@manual ecmp +Returns true if 'n' is 1. +*/ +static inline int element_is1(element_t n) { + return n->field->is1(n); +} + +/*@manual ecmp +Returns true if 'n' is 0. +*/ +static inline int element_is0(element_t n) { + return n->field->is0(n); +} + +/*@manual ecmp +Returns 0 if 'a' and 'b' are the same, nonzero otherwise. +*/ +static inline int element_cmp(element_t a, element_t b) { + PBC_ASSERT_MATCH2(a, b); + return a->field->cmp(a, b); +} + +/*@manual ecmp +Returns nonzero if 'a' is a perfect square (quadratic residue), +zero otherwise. +*/ +static inline int element_is_sqr(element_t a) { + return a->field->is_sqr(a); +} + +/*@manual ecmp +*/ +static inline int element_sgn(element_t a) { + return a->field->sign(a); +} + +/*@manual ecmp +If 'a' is zero, returns 0. For nozero 'a' the behaviour depends on +the algebraic structure, but has the property that +element_sgn('a') = -element_sgn(-'a') +and +element_sgn('a') = 0 implies 'a' = 0 with overwhelming probability. +*/ +static inline int element_sign(element_t a) { + return a->field->sign(a); +} + +static inline void element_sqrt(element_t a, element_t b) { + PBC_ASSERT_MATCH2(a, b); + a->field->sqrt(a, b); +} + +/*@manual etrade +Returns the length in bytes the element 'e' will take to represent +*/ +static inline int element_length_in_bytes(element_t e) { + if (e->field->fixed_length_in_bytes < 0) { + return e->field->length_in_bytes(e); + } else { + return e->field->fixed_length_in_bytes; + } +} + +/*@manual etrade +Converts 'e' to byte, writing the result in the buffer 'data'. +The number of bytes it will write can be determined from calling +*element_length_in_bytes()*. Returns number of bytes written. +*/ +static inline int element_to_bytes(unsigned char *data, element_t e) { + return e->field->to_bytes(data, e); +} + +/*@manual etrade +Reads 'e' from the buffer 'data', and returns the number of bytes read. +*/ +static inline int element_from_bytes(element_t e, unsigned char *data) { + return e->field->from_bytes(e, data); +} + +/*@manual epow +Sets 'x' = 'a1'^'n1'^ 'a2'^'n2'^, and is generally faster than +performing two separate exponentiations. +*/ +void element_pow2_mpz(element_t x, element_t a1, mpz_t n1, element_t a2, + mpz_t n2); +/*@manual epow +Also sets 'x' = 'a1'^'n1'^ 'a2'^'n2'^, +but 'n1', 'n2' must be elements of a ring *Z*~n~ for some integer n. +*/ +static inline void element_pow2_zn(element_t x, element_t a1, element_t n1, + element_t a2, element_t n2) { + mpz_t z1, z2; + mpz_init(z1); + mpz_init(z2); + element_to_mpz(z1, n1); + element_to_mpz(z2, n2); + element_pow2_mpz(x, a1, z1, a2, z2); + mpz_clear(z1); + mpz_clear(z2); +} + +/*@manual epow +Sets 'x' = 'a1'^'n1'^ 'a2'^'n2'^ 'a3'^'n3'^, +generally faster than performing three separate exponentiations. +*/ +void element_pow3_mpz(element_t x, element_t a1, mpz_t n1, + element_t a2, mpz_t n2, element_t a3, mpz_t n3); + +/*@manual epow +Also sets 'x' = 'a1'^'n1'^ 'a2'^'n2'^ 'a3'^'n3'^, +but 'n1', 'n2', 'n3' must be elements of a ring *Z*~n~ for some integer n. +*/ +static inline void element_pow3_zn(element_t x, element_t a1, element_t n1, + element_t a2, element_t n2, + element_t a3, element_t n3) { + mpz_t z1, z2, z3; + mpz_init(z1); + mpz_init(z2); + mpz_init(z3); + element_to_mpz(z1, n1); + element_to_mpz(z2, n2); + element_to_mpz(z3, n3); + element_pow3_mpz(x, a1, z1, a2, z2, a3, z3); + mpz_clear(z1); + mpz_clear(z2); + mpz_clear(z3); +} + +void field_clear(field_ptr f); + +element_ptr field_get_nqr(field_ptr f); +void field_set_nqr(field_ptr f, element_t nqr); +void field_gen_nqr(field_ptr f); + +void field_init(field_ptr f); + +static inline int mpz_is0(mpz_t z) { + return !mpz_sgn(z); + //return !mpz_cmp_ui(z, 0); +} + +/*@manual etrade +Assumes 'e' is a point on an elliptic curve. +Writes the x-coordinate of 'e' to the buffer 'data' +*/ +int element_to_bytes_x_only(unsigned char *data, element_t e); +/*@manual etrade +Assumes 'e' is a point on an elliptic curve. +Sets 'e' to a point with +x-coordinate represented by the buffer 'data'. This is not unique. +For each 'x'-coordinate, there exist two different points, at least +for the elliptic curves in PBC. (They are inverses of each other.) +*/ +int element_from_bytes_x_only(element_t e, unsigned char *data); +/*@manual etrade +Assumes 'e' is a point on an elliptic curve. +Returns the length in bytes needed to hold the x-coordinate of 'e'. +*/ +int element_length_in_bytes_x_only(element_t e); + +/*@manual etrade +If possible, outputs a compressed form of the element 'e' to +the buffer of bytes 'data'. +Currently only implemented for points on an elliptic curve. +*/ +int element_to_bytes_compressed(unsigned char *data, element_t e); + +/*@manual etrade +Sets element 'e' to the element in compressed form in the buffer of bytes +'data'. +Currently only implemented for points on an elliptic curve. +*/ +int element_from_bytes_compressed(element_t e, unsigned char *data); + +/*@manual etrade +Returns the number of bytes needed to hold 'e' in compressed form. +Currently only implemented for points on an elliptic curve. +*/ +int element_length_in_bytes_compressed(element_t e); + +/*@manual epow +Prepare to exponentiate an element 'in', and store preprocessing information +in 'p'. +*/ +static inline void element_pp_init(element_pp_t p, element_t in) { + p->field = in->field; + in->field->pp_init(p, in); +} + +/*@manual epow +Clear 'p'. Should be called after 'p' is no longer needed. +*/ +static inline void element_pp_clear(element_pp_t p) { + p->field->pp_clear(p); +} + +/*@manual epow +Raise 'in' to 'power' and store the result in 'out', where 'in' +is a previously preprocessed element, that is, the second argument +passed to a previous *element_pp_init* call. +*/ +static inline void element_pp_pow(element_t out, mpz_ptr power, + element_pp_t p) { + p->field->pp_pow(out, power, p); +} + +/*@manual epow +Same except 'power' is an element of *Z*~n~ for some integer n. +*/ +static inline void element_pp_pow_zn(element_t out, element_t power, + element_pp_t p) { + mpz_t z; + mpz_init(z); + element_to_mpz(z, power); + element_pp_pow(out, z, p); + mpz_clear(z); +} + +void pbc_mpz_out_raw_n(unsigned char *data, int n, mpz_t z); +void pbc_mpz_from_hash(mpz_t z, mpz_t limit, + unsigned char *data, unsigned int len); + +/*@manual etrade +For points, returns the number of coordinates. +For polynomials, returns the number of coefficients. +Otherwise returns zero. +*/ +static inline int element_item_count(element_t e) { + return e->field->item_count(e); +} + +/*@manual etrade +For points, returns 'n'#th# coordinate. +For polynomials, returns coefficient of 'x^n^'. +Otherwise returns NULL. +The element the return value points to may be modified. +*/ +static inline element_ptr element_item(element_t e, int i) { + // TODO: Document the following: + // For polynomials, never zero the leading coefficient, e.g. never write: + // element_set0(element_item(f, poly_degree(f))); + // Use poly_set_coeff0() to zero the leading coefficient. + return e->field->item(e, i); +} + +// Returns the field containing the items. +// Returns NULL if there are no items. +static inline field_ptr element_item_field(element_t e) { + if (!element_item_count(e)) return NULL; + return element_item(e, 0)->field; +} + +/*@manual etrade +Equivalent to `element_item(a, 0)`. +*/ +static inline element_ptr element_x(element_ptr a) { + return a->field->get_x(a); +} +/*@manual etrade +Equivalent to `element_item(a, 1)`. +*/ +static inline element_ptr element_y(element_ptr a) { + return a->field->get_y(a); +} + +/*@manual epow +Computes 'x' such that 'g^x^ = h' by brute force, where +'x' lies in a field where `element_set_mpz()` makes sense. +*/ +void element_dlog_brute_force(element_t x, element_t g, element_t h); + +/*@manual epow +Computes 'x' such that 'g^x^ = h' using Pollard rho method, where +'x' lies in a field where `element_set_mpz()` makes sense. +*/ +void element_dlog_pollard_rho(element_t x, element_t g, element_t h); + +// Trial division up to a given limit. If limit == NULL, then there is no limit. +// Call the callback for each factor found, abort and return 1 if the callback +// returns nonzero, otherwise return 0. +int pbc_trial_divide(int (*fun)(mpz_t factor, + unsigned int multiplicity, + void *scope_ptr), + void *scope_ptr, + mpz_t n, + mpz_ptr limit); + +#endif // __PBC_FIELD_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_fieldquadratic.h b/moon-abe/pbc-0.5.14/include/pbc_fieldquadratic.h new file mode 100644 index 00000000..5a2111b3 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_fieldquadratic.h @@ -0,0 +1,23 @@ +/* + * Quadratic field extensions. + */ + +//requires +// * field.h +#ifndef __PBC_FIELDQUADRATIC_H__ +#define __PBC_FIELDQUADRATIC_H__ + +// Initialize L as K[sqrt(a)], where a is a quadratic nonresidue of K. We +// automatically randomly generate a if necessary (see field_get_nqr() in +// field.c). +void field_init_quadratic(field_ptr L, field_ptr K); + +// Initialize L as K[i], where i = sqrt(-1). Faster than the generic version. +// Requires -1 to be a quadratic nonresidue in K. +void field_init_fi(field_ptr L, field_ptr K); + +// Naturally map an element from a field K to K[a]. +void element_field_to_quadratic(element_ptr out, element_ptr in); +void element_field_to_fi(element_ptr a, element_ptr b); + +#endif //__PBC_FIELDQUADRATIC_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_fp.h b/moon-abe/pbc-0.5.14/include/pbc_fp.h new file mode 100644 index 00000000..3410cee1 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_fp.h @@ -0,0 +1,26 @@ +/* There does not appear to be a succint name for rings of type Z/nZ. + * Sage calls it integer mod ring. + * NTL calls it ZZ_p. + * I'll call it fp, as it's the quickest to type. + * "zn" might be better since it can also handle composite numbers. + */ +// Requires: +// * field.h +// * gmp.h +#ifndef __PBC_FP_H__ +#define __PBC_FP_H__ + +void field_init_naive_fp(field_ptr f, mpz_t prime); +void field_init_tiny_fp(field_ptr f, mpz_t prime); +void field_init_fast_fp(field_ptr f, mpz_t prime); +void field_init_faster_fp(field_ptr f, mpz_t prime); +void field_init_mont_fp(field_ptr f, mpz_t prime); + +void pbc_tweak_use_fp(char *s); + +void element_tonelli(element_ptr x, element_ptr a); + +void field_init_fp(field_ptr f, mpz_t prime); + +int pbc_mpz_set_str(mpz_t z, const char *s, int base); +#endif //__PBC_FP_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_g_param.h b/moon-abe/pbc-0.5.14/include/pbc_g_param.h new file mode 100644 index 00000000..0b7bf45d --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_g_param.h @@ -0,0 +1,28 @@ +// Type G pairings. + +// Requires: +// * mnt.h +// * param.h +#ifndef __PBC_G_PARAM_H__ +#define __PBC_G_PARAM_H__ + +struct symtab_s; +int pbc_param_init_g(pbc_param_ptr par, struct symtab_s *tab); + +/*@manual gparam +Type G curves are generated using the complex multiplication (CM) method. This +function sets 'p' to a type G pairing parameters from CM parameters 'cm'. +They have embedding degree 10. + +To be secure, generic discrete log algorithms must be infeasible in groups of +order r, and finite field discrete log algorithms must be infeasible in finite +fields of order q^6^. For usual CM parameters, r is a few bits smaller than q. + +They are quite slow at the moment so for now type F is a better choice. + +The file `param/g149.param` contains parameters for a +type G pairing with 149-bit group and field sizes. +*/ +void pbc_param_init_g_gen(pbc_param_t p, pbc_cm_ptr cm); + +#endif //__PBC_G_PARAM_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_hilbert.h b/moon-abe/pbc-0.5.14/include/pbc_hilbert.h new file mode 100644 index 00000000..64bdf9c1 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_hilbert.h @@ -0,0 +1,13 @@ +// Requires: +// * gmp.h +#ifndef __PBC_HILBERT_H__ +#define __PBC_HILBERT_H__ + +// Allocate an array of mpz_t and fill it with the coefficients of the Hilbert +// polynomial H_D(x). Returns the size of array. +size_t pbc_hilbert(mpz_t **arr, int D); + +// Free an array allocated by `pbc_hilbert()`. +void pbc_hilbert_free(mpz_t *arr, size_t n); + +#endif //__PBC_HILBERT_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_i_param.h b/moon-abe/pbc-0.5.14/include/pbc_i_param.h new file mode 100644 index 00000000..3f0dde58 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_i_param.h @@ -0,0 +1,23 @@ +// Eta_T pairing over ternary extension field +// +// Requires: +// * pbc_param.h +#ifndef __PBC_I_PARAM_H__ +#define __PBC_I_PARAM_H__ + +struct symtab_s; +int pbc_param_init_i(pbc_param_ptr par, struct symtab_s *); + +/*@manual aparam +Generate type I pairing parameters and store them in 'p', +where the group order is at least 2^'group_size'. + +To be as secure as 64 bit symmetric encryption, 'group_size' may be 150. +To get 128 bit symmetric secure level, 'group_size' may be 696. + +The file `param/i.param` contains parameters for a type I pairing suitable for +cryptographic use. +*/ +void pbc_param_init_i_gen(pbc_param_ptr par, int group_size); + +#endif //__PBC_I_PARAM_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_memory.h b/moon-abe/pbc-0.5.14/include/pbc_memory.h new file mode 100644 index 00000000..4c71a2e0 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_memory.h @@ -0,0 +1,24 @@ +// Requires: +// * stdlib.h +#ifndef __PBC_MEMORY_H__ +#define __PBC_MEMORY_H__ + +// Memory allocation functions used by PBC. +extern void *(*pbc_malloc)(size_t); +extern void *(*pbc_realloc)(void *, size_t); +extern void (*pbc_free)(void *); + +void *pbc_calloc(size_t, size_t); + +/*@manual alloc +Set custom allocation functions. The parameters must be function pointers to +drop-in replacements for malloc, realloc and free, except that malloc and +realloc should terminate the program on failure: they must not return in this +case. +*/ +void pbc_set_memory_functions(void *(*malloc_fn)(size_t), + void *(*realloc_fn)(void *, size_t), void (*free_fn)(void *)); + +char *pbc_strdup(const char *s); + +#endif //__PBC_MEMORY_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_mnt.h b/moon-abe/pbc-0.5.14/include/pbc_mnt.h new file mode 100644 index 00000000..82e4993b --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_mnt.h @@ -0,0 +1,49 @@ +//requires +// * gmp.h +#ifndef __PBC_MNT_H__ +#define __PBC_MNT_H__ + +struct pbc_cm_s { + mpz_t q; //curve defined over F_q + mpz_t n; //has order n (= q - t + 1) in F_q (and r^2 in F_q^k) + mpz_t h; //h * r = n, r is prime + mpz_t r; + int D; //discrminant needed to find j-invariant + int k; //embedding degree +}; + +typedef struct pbc_cm_s *pbc_cm_ptr; +typedef struct pbc_cm_s pbc_cm_t[1]; + +/*@manual cminfo +Initializes 'cm'. +*/ +void pbc_cm_init(pbc_cm_t cm); +/*@manual cminfo +Clears 'cm'. +*/ +void pbc_cm_clear(pbc_cm_t cm); + +/*@manual cminfo +For a given discriminant D, searches for type D pairings suitable for +cryptography (MNT curves of embedding degree 6). +The group order is at most 'bitlimit' bits. For each set of CM parameters +found, call 'callback' with +pbc_cm_t+ and given +void *+. If the callback +returns nonzero, stops search and returns that value. +Otherwise returns 0. +*/ +int pbc_cm_search_d(int (*callback)(pbc_cm_ptr, void *), void *data, + unsigned int D, unsigned int bitlimit); + +/*@manual cminfo +For a given discriminant D, searches for type G pairings suitable for +cryptography (Freeman curve). +The group order is at most 'bitlimit' bits. For each set of CM parameters +found, call 'callback' with +pbc_cm_t+ and given +void *+. If the callback +returns nonzero, stops search and returns that value. +Otherwise returns 0. +*/ +int pbc_cm_search_g(int (*callback)(pbc_cm_ptr, void *), void *data, + unsigned int D, unsigned int bitlimit); + +#endif //__PBC_MNT_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_multiz.h b/moon-abe/pbc-0.5.14/include/pbc_multiz.h new file mode 100644 index 00000000..17657779 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_multiz.h @@ -0,0 +1,20 @@ +// Multinomnials with integer coefficients. + +//requires +// * field.h + +#ifndef __PBC_FIELDMULTI_H__ +#define __PBC_FIELDMULTI_H__ + +void field_init_multiz(field_ptr f); + +element_ptr multiz_new_list(element_ptr e); +void multiz_append(element_ptr l, element_ptr m); + +void multiz_to_mpz(mpz_ptr z, multiz ep); +int multiz_is_z(multiz m); +multiz multiz_at(multiz m, int i); +int multiz_count(multiz m); +int multiz_is0(multiz m); + +#endif //__PBC_FIELDMULTI_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_pairing.h b/moon-abe/pbc-0.5.14/include/pbc_pairing.h new file mode 100644 index 00000000..1f127fb1 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_pairing.h @@ -0,0 +1,280 @@ +// Requires: +// * stdio.h +// * gmp.h +// * utils.h +// * field.h +// * param.h +#ifndef __PBC_PAIRING_H__ +#define __PBC_PAIRING_H__ + +struct pairing_pp_s { + struct pairing_s *pairing; + void *data; +}; +typedef struct pairing_pp_s pairing_pp_t[1]; +typedef struct pairing_pp_s *pairing_pp_ptr; + +struct pairing_s { + mpz_t r; // order of G1, G2, GT + field_t Zr; // the field Z_r + field_ptr G1, G2; + field_t GT; // group of rth roots of unity + + mpz_t phikonr; + // Phi_k(q)/r where Phi_k is the kth cyclotomic polynomial, + // q as in F_q, is the base field + + void (*phi)(element_ptr out, element_ptr in, struct pairing_s *pairing); //isomorphism G2 --> G1 + void (*map)(element_ptr out, element_ptr in1, element_ptr in2, + struct pairing_s *p); + void (*prod_pairings)(element_ptr out, element_t in1[], element_t in2[], int n_prod, + struct pairing_s *p); //calculate a product of pairings at one time. + // is_almost coddh returns true given (g, g^x, h, h^x) or (g, g^x, h, h^-x) + // order is important: a, b are from G1, c, d are from G2 + int (*is_almost_coddh)(element_ptr a, element_ptr b, + element_ptr c, element_ptr d, + struct pairing_s *p); + void (*clear_func)(struct pairing_s *); + void (*pp_init)(pairing_pp_t p, element_t in1, struct pairing_s *); + void (*pp_clear)(pairing_pp_t p); + void (*pp_apply)(element_t out, element_t in2, pairing_pp_t p); + void (*finalpow)(element_t e); + void (*option_set)(struct pairing_s *, char *key, char *value); + void *data; +}; + +typedef struct pairing_s pairing_t[1]; +typedef struct pairing_s *pairing_ptr; + +// TODO: The 'pairing' argument is redundant. +/*@manual pairing_apply +Get ready to perform a pairing whose first input is 'in1', +and store the results of time-saving precomputation in 'p'. +*/ +static inline void pairing_pp_init(pairing_pp_t p, element_t in1, pairing_t pairing) { + if (element_is0(in1)) { + p->pairing = NULL; + return; + } + p->pairing = pairing; + pairing->pp_init(p, in1, pairing); +} + +/*@manual pairing_apply +Clear 'p'. This should be called after 'p' is no longer needed. +*/ +static inline void pairing_pp_clear(pairing_pp_t p) { + if (!p->pairing) { + // happens when p was initialized with identity + return; + } + p->pairing->pp_clear(p); +} + +/*@manual pairing_apply +Compute a pairing using 'in2' and the preprocessed information stored in 'p' +and store the output in 'out'. The inputs to the pairing are the element +previously used to initialize 'p' and the element 'in2'. +*/ +static inline void pairing_pp_apply(element_t out, element_t in2, pairing_pp_t p) { + if (!p->pairing) { + element_set0(out); + return; + } + if (element_is0(in2)) { + element_set0(out); + return; + } + p->pairing->pp_apply((element_ptr) out->data, in2, p); +} + +/*@manual pairing_init +Initialize pairing from parameters in a ASCIIZ string 'str' +Returns 0 on success, 1 on failure. +*/ +int pairing_init_set_str(pairing_t pairing, const char *s); + +/*@manual pairing_init +Same, but read at most 'len' bytes. +If 'len' is 0, it behaves as the previous function. +Returns 0 on success, 1 on failure. +*/ +int pairing_init_set_buf(pairing_t pairing, const char *s, size_t len); + +/*@manual pairing_init +Initialize a pairing with pairing parameters 'p'. +*/ +void pairing_init_pbc_param(struct pairing_s *pairing, pbc_param_ptr p); + +/*@manual pairing_init +Free the space occupied by 'pairing'. Call +whenever a +pairing_t+ variable is no longer needed. +Only call this after all elements associated with 'pairing' +have been cleared, as they need information stored in the 'pairing' +structure. +*/ +void pairing_clear(pairing_t pairing); + +static inline void pairing_apply(element_t out, element_t in1, element_t in2, + pairing_t pairing) { + PBC_ASSERT(pairing->GT == out->field, "pairing output mismatch"); + PBC_ASSERT(pairing->G1 == in1->field, "pairing 1st input mismatch"); + PBC_ASSERT(pairing->G2 == in2->field, "pairing 2nd input mismatch"); + if (element_is0(in1)) { + element_set0(out); + return; + } + if (element_is0(in2)) { + element_set0(out); + return; + } + // TODO: 'out' is an element of a multiplicative subgroup, but the + // pairing routine expects it to be an element of the full group, hence + // the 'out->data'. I should make this clearer. + pairing->map((element_ptr) out->data, in1, in2, pairing); +} + +/*@manual pairing_apply +Computes a pairing: 'out' = 'e'('in1', 'in2'), +where 'in1', 'in2', 'out' must be in the groups G1, G2, GT. +*/ +static inline void element_pairing(element_t out, element_t in1, element_t in2) { + pairing_ptr pairing = out->field->pairing; + PBC_ASSERT(pairing != NULL, "pairing output mismatch"); + pairing_apply(out, in1, in2, pairing); +} + +/*@manual pairing_apply +Computes the product of pairings, that is +'out' = 'e'('in1'[0], 'in2'[0]) ... 'e'('in1'[n-1], 'in2'[n-1]). +The arrays 'in1', 'in2' must have at least 'n' elements belonging to +the groups G1, G2 respectively, and 'out' must belong to the group GT. +*/ +static inline void element_prod_pairing( + element_t out, element_t in1[], element_t in2[], int n) { + pairing_ptr pairing = out->field->pairing; + int i; + PBC_ASSERT(pairing->GT == out->field, "pairing output mismatch"); + for(i = 0; i < n; i++) { + PBC_ASSERT(pairing->G1 == in1[i]->field, "pairing 1st input mismatch"); + PBC_ASSERT(pairing->G2 == in2[i]->field, "pairing 2nd input mismatch"); + if (element_is0(in1[i])) { + element_set0(out); + return; + } + if (element_is0(in2[i])) { + element_set0(out); + return; + } + } + pairing->prod_pairings((element_ptr) out->data, in1, in2, n, pairing); +} + +/*@manual pairing_op +Returns true if G1 and G2 are the same group. +*/ +static inline int pairing_is_symmetric(pairing_t pairing) { + return pairing->G1 == pairing->G2; +} + +/*@manual pairing_op +Returns the length in bytes needed to represent an element of G1. +*/ +static inline int pairing_length_in_bytes_G1(pairing_t pairing) { + return pairing->G1->fixed_length_in_bytes; +} + +/*@manual pairing_op +Returns the length in bytes needed to represent the x-coordinate of +an element of G1. +*/ +static inline int pairing_length_in_bytes_x_only_G1(pairing_t pairing) { + return pairing->G1->fixed_length_in_bytes / 2; +} + +/*@manual pairing_op +Returns the length in bytes needed to represent a compressed form of +an element of G1. There is some overhead in decompressing. +*/ +static inline int pairing_length_in_bytes_compressed_G1(pairing_t pairing) { + return pairing->G1->fixed_length_in_bytes / 2 + 1; +} + +/*@manual pairing_op +Returns the length in bytes needed to represent an element of G2. +*/ +static inline int pairing_length_in_bytes_G2(pairing_t pairing) { + return pairing->G2->fixed_length_in_bytes; +} + +/*@manual pairing_op +Returns the length in bytes needed to represent a compressed form of +an element of G2. There is some overhead in decompressing. +*/ +static inline int pairing_length_in_bytes_compressed_G2(pairing_t pairing) { + return pairing->G2->fixed_length_in_bytes / 2 + 1; +} + +/*@manual pairing_op +Returns the length in bytes needed to represent the x-coordinate of +an element of G2. +*/ +static inline int pairing_length_in_bytes_x_only_G2(pairing_t pairing) { + return pairing->G2->fixed_length_in_bytes / 2; +} + +/*@manual pairing_op +Returns the length in bytes needed to represent an element of GT. +*/ +static inline int pairing_length_in_bytes_GT(pairing_t pairing) { + return pairing->GT->fixed_length_in_bytes; +} + +/*@manual pairing_op +Returns the length in bytes needed to represent an element of Zr. +*/ +static inline int pairing_length_in_bytes_Zr(pairing_t pairing) { + return pairing->Zr->fixed_length_in_bytes; +} + +static inline int is_almost_coddh(element_t a, element_t b, + element_t c, element_t d, pairing_t pairing) { + return pairing->is_almost_coddh(a, b, c, d, pairing); +} + +/*@manual einit.1 +*/ +static inline void element_init_G1(element_t e, pairing_t pairing) { + element_init(e, pairing->G1); +} + +/*@manual einit.1 +*/ +static inline void element_init_G2(element_t e, pairing_t pairing) { + element_init(e, pairing->G2); +} + +/*@manual einit.1 +Initialize 'e' to be an element of the group G1, G2 or GT of 'pairing'. +*/ +static inline void element_init_GT(element_t e, pairing_t pairing) { + element_init(e, pairing->GT); +} + +/*@manual einit.1 +Initialize 'e' to be an element of the ring Z_r of 'pairing'. +r is the order of the groups G1, G2 and GT that are involved in the pairing. +*/ +static inline void element_init_Zr(element_t e, pairing_t pairing) { + element_init(e, pairing->Zr); +} + +static inline void pairing_option_set(pairing_t pairing, char *key, char *value) { + pairing->option_set(pairing, key, value); +} + +// Initialize GT = group of rth roots of unity in f. +// Requires pairing->r has been set. +void pairing_GT_init(pairing_ptr pairing, field_t f); + +#endif //__PBC_PAIRING_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_param.h b/moon-abe/pbc-0.5.14/include/pbc_param.h new file mode 100644 index 00000000..143ab73c --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_param.h @@ -0,0 +1,49 @@ +// Requires: +// * gmp.h +#ifndef __PBC_PARAM_H__ +#define __PBC_PARAM_H__ + +struct pairing_s; +struct pbc_param_interface_s { + void (*clear)(void *); + void (*init_pairing)(struct pairing_s *, void *); + void (*out_str)(FILE *stream, void *data); +}; +typedef struct pbc_param_interface_s pbc_param_interface_t[1]; +typedef struct pbc_param_interface_s *pbc_param_interface_ptr; + +struct pbc_param_s { + pbc_param_interface_ptr api; + void *data; +}; +typedef struct pbc_param_s *pbc_param_ptr; +typedef struct pbc_param_s pbc_param_t[1]; + +/*@manual param +Initializes pairing parameters from the string 's'. +Returns 0 if successful, 1 otherwise. +*/ +int pbc_param_init_set_str(pbc_param_t par, const char *s); + +/*@manual param +Same, but read at most 'len' bytes. +If 'len' is 0, it behaves as the previous function. +Returns 0 if successful, 1 otherwise. +*/ +int pbc_param_init_set_buf(pbc_param_t par, const char *s, size_t len); + +/*@manual param +Write pairing parameters to ''stream'' in a text format. +*/ +static inline void pbc_param_out_str(FILE *stream, pbc_param_ptr p) { + p->api->out_str(stream, p->data); +} + +/*@manual param +Clear 'p'. Call after 'p' is no longer needed. +*/ +static inline void pbc_param_clear(pbc_param_ptr p) { + p->api->clear(p->data); +} + +#endif //__PBC_PARAM_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_poly.h b/moon-abe/pbc-0.5.14/include/pbc_poly.h new file mode 100644 index 00000000..bca8e108 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_poly.h @@ -0,0 +1,57 @@ +// Polynomial rings R[x], and polynomial rings modulo polynomials, +// i.e. R[x]_{f(x)}. + +// Requires: +// * gmp.h +// * field.h +#ifndef __PBC_POLY_H__ +#define __PBC_POLY_H__ + +// Initializes a polynomial ring. +void field_init_poly(field_ptr f, field_ptr base_field); + +// Initializes a polynomial modulo ring. +// Requires poly to be monic. +void field_init_polymod(field_ptr f, element_ptr poly); + +#pragma GCC visibility push(hidden) +// Internal library functions: + +// Returns deg f. +static inline int poly_degree(element_ptr f) { + return element_item_count(f) - 1; +} + +// Returns base field of f (where the coefficients live). +field_ptr poly_base_field(element_t f); + +// Sets the coefficient of x^n to 0. +void poly_set_coeff0(element_ptr f, int n); + +// Sets the coefficient of x^n to 1. +void poly_set_coeff1(element_ptr f, int n); + +// Sets the coefficient of x^n to a. +void poly_set_coeff(element_ptr f, element_ptr a, int n); + +// Sets f = x. +void poly_setx(element_ptr f); +void poly_const_mul(element_ptr res, element_ptr a, element_ptr poly); + +// Returns 0 when a root exists and sets root to one of the roots. +int poly_findroot(element_ptr root, element_ptr poly); + +// Returns 1 if polynomial is irreducible, 0 otherwise. +// Requires the polynomial to be monic. +int poly_is_irred(element_ptr f); +void poly_random_monic(element_ptr f, int deg); + +void element_field_to_poly(element_t poly, element_t constant); +void element_field_to_polymod(element_ptr f, element_ptr a); + +void polymod_const_mul(element_ptr res, element_ptr a, element_ptr e); +int polymod_field_degree(field_t f); + +#pragma GCC visibility pop + +#endif //__PBC_POLY_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_random.h b/moon-abe/pbc-0.5.14/include/pbc_random.h new file mode 100644 index 00000000..df688b9a --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_random.h @@ -0,0 +1,32 @@ +// Requires: +// * gmp.h +#ifndef __PBC_RANDOM_H__ +#define __PBC_RANDOM_H__ + +/*@manual pbcrandom +Sets 'filename' as a source of random bytes. For example, +on Linux one might use `/dev/random`. +*/ +void pbc_random_set_file(char *filename); + +/*@manual pbcrandom +Uses a determinstic random number generator, seeded with 'seed'. +*/ +void pbc_random_set_deterministic(unsigned int seed); + +/*@manual pbcrandom +Uses given function as a random number generator. +*/ +void pbc_random_set_function(void (*fun)(mpz_t, mpz_t, void *), void *data); + +/*@manual pbcrandom +Selects a random 'z' that is less than 'limit'. +*/ +void pbc_mpz_random(mpz_t z, mpz_t limit); + +/*@manual pbcrandom +Selects a random 'bits'-bit integer 'z'. +*/ +void pbc_mpz_randomb(mpz_t z, unsigned int bits); + +#endif //__PBC_RANDOM_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_singular.h b/moon-abe/pbc-0.5.14/include/pbc_singular.h new file mode 100644 index 00000000..afa6156f --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_singular.h @@ -0,0 +1,11 @@ +//requires +// * stdio.h +// * gmp.h +// * field.h +#ifndef __PBC_SINGULAR_H__ +#define __PBC_SINGULAR_H__ + +void field_init_curve_singular_with_node(field_t c, field_t field); +void pairing_init_singular_with_node(pairing_t pairing, mpz_t q); + +#endif //__PBC_SINGULAR_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_ternary_extension_field.h b/moon-abe/pbc-0.5.14/include/pbc_ternary_extension_field.h new file mode 100644 index 00000000..8effc16a --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_ternary_extension_field.h @@ -0,0 +1,22 @@ +// some ternary extension fields, +// including $GF(3^m) = GF(3)[x]/(x^m + x^t + 2)$, +// $GF(3^{2*m}) = GF(3^m)[x]/(x^2 + 1)$, +// $GF(3^{3*m}) = GF(3^m)[x]/(x^3 - x - 1)$, +// and $GF(3^{6*m}) = GF(3^{2*m})[x]/(x^3 - x - 1)$ +// +// Requires: +// * pbc_field.h + +#ifndef __PBC_TERNARY_EXTENSION_FIELD_H__ +#define __PBC_TERNARY_EXTENSION_FIELD_H__ + +/* initialize $f$ as $GF(3)[x]/(x^m + x^t + 2)$ */ +void field_init_gf3m(field_t f, unsigned m, unsigned t); + +/* initialize $f$ as $base_field[x]/(x^2 + 1)$ */ +void field_init_gf32m(field_t f, field_t base_field); + +/* initialize $f$ as $base_field[x]/(x^3 - x - 1)$ */ +void field_init_gf33m(field_t f, field_t base_field); + +#endif //__PBC_TERNARY_EXTENSION_FIELD_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_test.h b/moon-abe/pbc-0.5.14/include/pbc_test.h new file mode 100644 index 00000000..35d6f754 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_test.h @@ -0,0 +1,42 @@ +// Useful for tests. + +#ifndef __PBC_TEST_H__ +#define __PBC_TEST_H__ + +/*@manual test +Initializes pairing from file specified as first argument, or from standard +input if there is no first argument. +*/ +static inline void pbc_demo_pairing_init(pairing_t pairing, int argc, char **argv) { + char s[16384]; + FILE *fp = stdin; + + if (argc > 1) { + fp = fopen(argv[1], "r"); + if (!fp) pbc_die("error opening %s", argv[1]); + } + size_t count = fread(s, 1, 16384, fp); + if (!count) pbc_die("input error"); + fclose(fp); + + if (pairing_init_set_buf(pairing, s, count)) pbc_die("pairing init failed"); +} + +/*@manual test +Returns seconds elapsed since the first call to this function. +Returns 0 the first time. +*/ +double pbc_get_time(void); + +/*@manual test +Macro: if `condition` evaluates to 0 then print an error. +*/ +#define EXPECT(condition) \ + if (condition); else pbc_err_count++, fprintf(stderr, "\n*** FAIL ***\n %s:%d: %s\n\n", __FILE__, __LINE__, #condition) + +/*@manual test +Total number of failed EXPECT checks. +*/ +int pbc_err_count; + +#endif //__PBC_TEST_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_utils.h b/moon-abe/pbc-0.5.14/include/pbc_utils.h new file mode 100644 index 00000000..62c02b07 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_utils.h @@ -0,0 +1,86 @@ +#ifndef __PBC_UTILS_H__ +#define __PBC_UTILS_H__ + +#ifdef PBC_DEBUG + +/*@manual debug +Macro: if `expr` evaluates to 0, print `msg` and exit. +*/ +#define PBC_ASSERT(expr, msg) \ + (pbc_assert(expr, msg, __func__)) + +/*@manual debug +Macro: if elements `a` and `b` are from different fields then exit. +*/ +#define PBC_ASSERT_MATCH2(a, b) \ + (pbc_assert_match2(a, b, __func__)) + +/*@manual debug +Macro: if elements `a`, `b` and `c` are from different fields then exit. +*/ +#define PBC_ASSERT_MATCH3(a, b, c) \ + (pbc_assert_match3(a, b, c, __func__)) + +#else + +#define PBC_ASSERT(expr, msg) ((void) (0)) +#define PBC_ASSERT_MATCH2(a, b) ((void) (0)) +#define PBC_ASSERT_MATCH3(a, b, c) ((void) (0)) + +#endif + +// die, warn and info based on Git code. + +/*@manual log +By default error messages are printed to standard error. +Call `pbc_set_msg_to_stderr(0)` to suppress messages. +*/ +int pbc_set_msg_to_stderr(int i); + +/*@manual log +Reports error message and exits with code 128. +*/ +void pbc_die(const char *err, ...) + __attribute__((__noreturn__)) + __attribute__((format (printf, 1, 2))); + +/*@manual log +Reports informational message. +*/ +void pbc_info(const char *err, ...) + __attribute__((format (printf, 1, 2))); + +/*@manual log +Reports warning message. +*/ +void pbc_warn(const char *err, ...) + __attribute__((format (printf, 1, 2))); + +/*@manual log +Reports error message. +*/ +void pbc_error(const char *err, ...) + __attribute__((format (printf, 1, 2))); + +#ifndef UNUSED_VAR +#if defined(__GNUC__) +// We could use __attribute__((unused)) instead. +#define UNUSED_VAR(a) (void) a +#else +// From the ACE project: http://www.cs.wustl.edu/~schmidt/ACE.html +// silences warnings, and generates no code for many compilers +// See ACE_wrappers/ace/ace/config-macros.h:391 +// +// Not anymore: gcc no longer likes it -blynn +#define UNUSED_VAR(a) do { /* nothing */ } while (&a == 0) +#endif +#endif + +// For storing small integers in void * +// C99 standard introduced the intptr_t and uintptr_t types, +// guaranteed to be able to hold pointers +static inline void *int_to_voidp(intptr_t i) { + return (void *) i; +} + +#endif //__PBC_UTILS_H__ diff --git a/moon-abe/pbc-0.5.14/include/pbc_z.h b/moon-abe/pbc-0.5.14/include/pbc_z.h new file mode 100644 index 00000000..2ec54af3 --- /dev/null +++ b/moon-abe/pbc-0.5.14/include/pbc_z.h @@ -0,0 +1,12 @@ +// ring of integers Z +// wrappers around GMP's mpz_t + +//requires +// * field.h + +#ifndef __PBC_FIELDMPZ_H__ +#define __PBC_FIELDMPZ_H__ + +void field_init_z(field_ptr f); + +#endif //__PBC_FIELDMPZ_H__ diff --git a/moon-abe/pbc-0.5.14/makedeb.sh b/moon-abe/pbc-0.5.14/makedeb.sh new file mode 100644 index 00000000..14ddc192 --- /dev/null +++ b/moon-abe/pbc-0.5.14/makedeb.sh @@ -0,0 +1,5 @@ +#!/bin/bash + +set -e + +dpkg-buildpackage -rfakeroot diff --git a/moon-abe/pbc-0.5.14/misc/darray.c b/moon-abe/pbc-0.5.14/misc/darray.c new file mode 100644 index 00000000..50b127f3 --- /dev/null +++ b/moon-abe/pbc-0.5.14/misc/darray.c @@ -0,0 +1,176 @@ +#include <stdlib.h> +#include <stdio.h> +#include <string.h> +#include "pbc_memory.h" +#include "darray.h" + +#define NDEBUG +#include <assert.h> + +enum { + max_init = 8 +}; + +void darray_init(darray_ptr a) +{ + a->max = max_init; + a->count = 0; + a->item = pbc_malloc(sizeof(void *) * a->max); +} + +darray_ptr darray_new(void) +{ + darray_ptr res = pbc_malloc(sizeof(darray_t)); + darray_init(res); + return res; +} + +void darray_remove_all(darray_ptr a) +{ + a->max = max_init; + a->count = 0; + pbc_free(a->item); + a->item = pbc_malloc(sizeof(void *) * a->max); +} + +void darray_remove_last(darray_ptr a) +{ + assert(a->count > 0); + a->count--; +} + +static void darray_realloc(darray_ptr a, int size) +{ + a->max = size; + a->item = pbc_realloc(a->item, sizeof(void *) * a->max); +} + +void darray_append(darray_ptr a, void *p) +{ + if (a->count == a->max) { + if (!a->max) a->max = max_init; + else a->max *= 2; + a->item = pbc_realloc(a->item, sizeof(void *) * a->max); + } + a->item[a->count] = p; + a->count++; +} + +int darray_index_of(darray_ptr a, void *p) +{ + int i; + for (i=0; i<a->count; i++) { + if (a->item[i] == p) return i; + } + return -1; +} + +void darray_clear(darray_t a) +{ + pbc_free(a->item); + a->max = 0; + a->count = 0; +} + +void darray_free(darray_ptr a) { + darray_clear(a); + pbc_free(a); +} + +void darray_remove_index(darray_ptr a, int n) +{ + assert(a->count >= n-1); + a->count--; + memmove(&a->item[n], &a->item[n+1], sizeof(void *) * (a->count - n)); +} + +void darray_remove(darray_ptr a, void *p) +{ + int i; + for (i=0; i<a->count; i++) { + if (a->item[i] == p) { + a->count--; + memmove(&a->item[i], &a->item[i+1], sizeof(void *) * (a->count - i)); + return; + } + } + assert(0); +} + +void darray_remove_with_test(darray_ptr a, int (*test)(void *)) +{ + int i; + for (i=0; i<a->count; i++) { + if (test(a->item[i])) { + for (;i<a->count; i++) { + a->item[i] = a->item[i+1]; + } + a->count--; + } + } +} + +void darray_copy(darray_ptr dst, darray_ptr src) +{ + darray_realloc(dst, src->count); + memcpy(dst->item, src->item, src->count * sizeof(void *)); + dst->count = src->count; +} + +void darray_forall(darray_t a, void (*func)(void *)) +{ + int i, n = a->count; + for (i=0; i<n; i++) { + func(a->item[i]); + } +} + +void darray_forall2(darray_t a, + void (*func)(void *darray_item, void *scope_ptr), + void *scope_ptr) +{ + int i, n = a->count; + for (i=0; i<n; i++) { + func(a->item[i], scope_ptr); + } +} + +void darray_forall3(darray_t a, + void (*func)(void *darray_item, + void *scope_ptr1, + void *scope_ptr2), + void *scope_ptr1, + void *scope_ptr2) +{ + int i, n = a->count; + for (i=0; i<n; i++) { + func(a->item[i], scope_ptr1, scope_ptr2); + } +} + +void darray_forall4(darray_t a, + void (*func)(void *darray_item, + void *scope_ptr1, + void *scope_ptr2, + void *scope_ptr3), + void *scope_ptr1, + void *scope_ptr2, + void *scope_ptr3) +{ + int i, n = a->count; + for (i=0; i<n; i++) { + func(a->item[i], scope_ptr1, scope_ptr2, scope_ptr3); + } +} + +void *darray_at_test(darray_ptr a, + int (*test)(void *data, void *scope_ptr), + void *scope_ptr) +{ + int i; + for (i = 0; i < a->count; i++) { + void *p = a->item[i]; + if (test(p, scope_ptr)) return p; + } + return NULL; +} diff --git a/moon-abe/pbc-0.5.14/misc/darray.h b/moon-abe/pbc-0.5.14/misc/darray.h new file mode 100644 index 00000000..ecbd04ad --- /dev/null +++ b/moon-abe/pbc-0.5.14/misc/darray.h @@ -0,0 +1,92 @@ +// darray = "dynamic array" +// A linked-list implementation using C arrays. + +#ifndef __PBC_DARRAY_H__ +#define __PBC_DARRAY_H__ + +#pragma GCC visibility push(hidden) + +struct darray_s { + void **item; + int count; + int max; +}; + +typedef struct darray_s darray_t[1]; +typedef struct darray_s *darray_ptr; + +/*@manual darray +Initialize a dynamic array 'a'. Must be called before 'a' is used. +*/ +void darray_init(darray_t a); +darray_ptr darray_new(void); + +void darray_free(darray_ptr a); + +/*@manual darray +Clears a dynamic array 'a'. Should be called after 'a' is no longer needed. +*/ +void darray_clear(darray_t a); + +/*@manual darray +Appends 'p' to the dynamic array 'a'. +*/ +void darray_append(darray_t a, void *p); + +/*@manual darray +Returns the pointer at index 'i' in the dynamic array 'a'. +*/ +static inline void *darray_at(darray_t a, int i) { + return a->item[i]; +} + +int darray_index_of(darray_ptr a, void *p); +void darray_remove(darray_ptr a, void *p); +void darray_remove_last(darray_ptr a); +void darray_remove_with_test(darray_ptr a, int (*test)(void *)); + +/*@manual darray +Removes the pointer at index 'i' in the dynamic array 'a'. +*/ +void darray_remove_index(darray_ptr a, int n); +void darray_copy(darray_ptr dst, darray_ptr src); +void darray_remove_all(darray_ptr d); +void darray_forall(darray_t a, void (*func)(void *)); +void darray_forall2(darray_t a, + void (*func)(void *darray_item, void *scope_ptr), + void *scope_ptr); +void darray_forall3(darray_t a, + void (*func)(void *darray_item, + void *scope_ptr1, + void *scope_ptr2), + void *scope_ptr1, + void *scope_ptr2); +void darray_forall4(darray_t a, + void (*func)(void *darray_item, + void *scope_ptr1, + void *scope_ptr2, + void *scope_ptr3), + void *scope_ptr1, + void *scope_ptr2, + void *scope_ptr3); + +void *darray_at_test(darray_ptr a, int (*test)(void *,void *), void *scope_ptr); + +/*@manual darray +Returns the number of pointers held in 'a'. +*/ +static inline int darray_count(darray_ptr a) { + return a->count; +} + +static inline int darray_is_empty(darray_ptr a) { + return !a->count; +} + +static inline void *darray_last(darray_t a) { + return a->item[a->count - 1]; +} + +#pragma GCC visibility pop + +#endif //__PBC_DARRAY_H__ diff --git a/moon-abe/pbc-0.5.14/misc/extend_printf.c b/moon-abe/pbc-0.5.14/misc/extend_printf.c new file mode 100644 index 00000000..5e6537e2 --- /dev/null +++ b/moon-abe/pbc-0.5.14/misc/extend_printf.c @@ -0,0 +1,188 @@ +/* + * Behaves as gmp_printf with new conversion specifier %B for element_t types + */ + +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <stdlib.h> +#include <string.h> +#include <stdarg.h> +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" +#include "pbc_memory.h" + +struct sninfo_s { + char *s; + size_t size; + size_t left; + size_t result; +}; + +// TODO: remove repeated code for error handling +static int do_print(int (*strcb)(void *, char *s), + int (*fstrcb)(void *, char *s, void *), + int (*elcb)(void *, element_ptr e), + void *data, + const char *format, va_list ap) { + // A primitive front-end for printf()-family functions. Only handles types + // in specifiers, and assumes they all take void * arguments. + // + // I wish register_printf_specifier() were more widespread. + int count = 0, status; + char *copy, *c, *start, *next; + element_ptr e; + int found; + + copy = pbc_strdup(format); + start = next = copy; + + for(;;) { + for(;;) { + c = strchr(next, '%'); + if (!c) { + status = strcb(data, start); + if (status < 0) { + count = -1; + } else count += status; + goto done; + } + if (!*(c + 1)) goto done; + if (*(c + 1) != '%') break; + next = c + 2; + } + *c = 0; + status = strcb(data, start); + if (status < 0) { + count = -1; + goto done; + } else count += status; + *c = '%'; + start = c; + found = 0; + while(!found) { + c++; + switch (*c) { + case '\0': + goto done; + case 'B': + e = va_arg(ap, element_ptr); + status = elcb(data, e); + if (status < 0) { + count = -1; + goto done; + } else count += status; + found = 1; + break; + default: + if (strchr("diouxXeEfFgGaAcspnmZ", *c)) { + if (*c == 'Z') c++; + char ch = *(c+1); + *(c+1) = '\0'; + status = fstrcb(data, start, va_arg(ap, void *)); + if (status < 0) { + count = -1; + goto done; + } else count += status; + *(c+1) = ch; + found = 1; + } + break; + } + } + next = start = c + 1; + } + +done: + pbc_free(copy); + + return count; +} + +static int string_cb(void *file, char *s) { + if (fputs(s, file) == EOF) return -1; + return strlen(s); +} + +static int format_cb(void *file, char *fstring, void *ptr) { + return gmp_fprintf(file, fstring, ptr); +} + +static int element_cb(void *file, element_ptr e) { + return element_out_str(file, 0, e); +} + +int element_vfprintf(FILE *stream, const char *format, va_list ap) { + return do_print(string_cb, format_cb, element_cb, stream, format, ap); +} + +int element_fprintf(FILE *stream, const char *format, ...) { + int status; + va_list ap; + + va_start(ap, format); + status = element_vfprintf(stream, format, ap); + va_end(ap); + return status; +} + +int element_printf(const char *format, ...) { + int status; + va_list ap; + + va_start(ap, format); + status = element_vfprintf(stdout, format, ap); + va_end(ap); + return status; +} + +static void next(struct sninfo_s *p, int status) { + p->result += status; + p->left = p->result >= p->size ? 0 : p->size - p->result; +} + +static int string_cbv(void *data, char *s) { + struct sninfo_s *p = data; + int status = snprintf(p->s + p->result, p->left, "%s", s); + if (status < 0) return status; + next(data, status); + return status; +} + +static int format_cbv(void *data, char *fstring, void *ptr) { + struct sninfo_s *p = data; + int status = gmp_snprintf(p->s + p->result, p->left, fstring, ptr); + if (status < 0) return status; + next(data, status); + return status; +} + +static int element_cbv(void *data, element_ptr e) { + struct sninfo_s *p = data; + int status = element_snprint(p->s + p->result, p->left, e); + if (status < 0) return status; + next(data, status); + return status; +} + +int element_vsnprintf(char *buf, size_t size, const char *fmt, va_list ap) { + struct sninfo_s info; + + info.s = buf; + info.left = info.size = size; + info.result = 0; + + do_print(string_cbv, format_cbv, element_cbv, &info, fmt, ap); + + return info.result; +} + +int element_snprintf(char *buf, size_t size, const char *fmt, ...) { + int status; + va_list ap; + + va_start(ap, fmt); + status = element_vsnprintf(buf, size, fmt, ap); + va_end(ap); + return status; +} diff --git a/moon-abe/pbc-0.5.14/misc/get_time.c b/moon-abe/pbc-0.5.14/misc/get_time.c new file mode 100644 index 00000000..8932364b --- /dev/null +++ b/moon-abe/pbc-0.5.14/misc/get_time.c @@ -0,0 +1,21 @@ +#include <sys/time.h> +#include <time.h> + +double pbc_get_time(void) { + static struct timeval last_tv, tv; + static int first = 1; + static double res = 0; + + if (first) { + gettimeofday(&last_tv, NULL); + first = 0; + return 0; + } else { + gettimeofday(&tv, NULL); + res += tv.tv_sec - last_tv.tv_sec; + res += (tv.tv_usec - last_tv.tv_usec) / 1000000.0; + last_tv = tv; + + return res; + } +} diff --git a/moon-abe/pbc-0.5.14/misc/get_time.win32.c b/moon-abe/pbc-0.5.14/misc/get_time.win32.c new file mode 100644 index 00000000..98463198 --- /dev/null +++ b/moon-abe/pbc-0.5.14/misc/get_time.win32.c @@ -0,0 +1,42 @@ +#include <stdint.h> // for intptr_t +#include <sys/time.h> +#include "pbc_utils.h" + +typedef struct _FILETIME { + unsigned long dwLowDateTime; + unsigned long dwHighDateTime; +} FILETIME; + +void __stdcall GetSystemTimeAsFileTime(FILETIME*); + +int __cdecl gettimeofday(struct timeval* p, void* tz) { + UNUSED_VAR(tz); + union { + long long ns100; // Time since 1 Jan 1601 in 100ns units. + FILETIME ft; + } _now; + + GetSystemTimeAsFileTime( &(_now.ft) ); + p->tv_usec=(long)((_now.ns100 / 10LL) % 1000000LL ); + p->tv_sec= (long)((_now.ns100-(116444736000000000LL))/10000000LL); + return 0; // Assume success? +} + +double pbc_get_time(void) { + static struct timeval last_tv, tv; + static int first = 1; + static double res = 0; + + if (first) { + gettimeofday(&last_tv, NULL); + first = 0; + return 0; + } else { + gettimeofday(&tv, NULL); + res += tv.tv_sec - last_tv.tv_sec; + res += (tv.tv_usec - last_tv.tv_usec) / 1000000.0; + last_tv = tv; + + return res; + } +} diff --git a/moon-abe/pbc-0.5.14/misc/memory.c b/moon-abe/pbc-0.5.14/misc/memory.c new file mode 100644 index 00000000..cfe80ecc --- /dev/null +++ b/moon-abe/pbc-0.5.14/misc/memory.c @@ -0,0 +1,131 @@ +#include <stdlib.h> +#include <stdint.h> // for intptr_t +#include <stdio.h> +#include <string.h> +#include "pbc_utils.h" +#include "pbc_memory.h" + +#ifdef SAFE_CLEAN +/* guarantee zeroing the memory */ +static void gmp_free(void *ptr, size_t size) { + if(ptr) + memset(ptr, 0, size); + free(ptr); +} + +static void* gmp_malloc(size_t size) { + return malloc(size); +} + +/* guarantee zeroing the memory + * realloc() is not suitable for use with secure memory + * because memory contents are not zeroed out. */ +static void* gmp_realloc(void *old_ptr, size_t old_size, size_t new_size) { + void *new_ptr = malloc(new_size); + if(new_ptr && old_ptr) + memcpy(new_ptr, old_ptr, old_size); + gmp_free(old_ptr, old_size); + return new_ptr; +} + +static void gmp_guarantee_zero_memory(void) { + __gmp_set_memory_functions(gmp_malloc, gmp_realloc, gmp_free); +} + +__attribute__((constructor)) void init(void) { + gmp_guarantee_zero_memory(); +} + +/* pbc_mem is a continuous memory keeping track of its size */ +static inline size_t pbc_mem_get_size(size_t *p) { + return *p; +} + +static inline void pbc_mem_set_size(size_t *p, size_t size) { + *p = size; +} + +static inline void *pbc_mem_to_ptr(size_t *p) { + return p + 1; +} + +static inline void *pbc_ptr_to_mem(size_t *p) { + return p - 1; +} + +static void *pbc_mem_malloc(size_t size) { + void *ptr = malloc(size + sizeof(size_t)); + if(ptr) + pbc_mem_set_size(ptr, size); + return ptr; +} + +static void pbc_mem_free(void *ptr) { + memset(ptr, 0, pbc_mem_get_size(ptr) + sizeof(size_t)); + free(ptr); +} + +static void *default_pbc_malloc(size_t size) { + void *ptr = pbc_mem_malloc(size); + if(!ptr) pbc_die("malloc() error"); + return pbc_mem_to_ptr(ptr); +} + +static void *default_pbc_realloc(void *old, size_t new_size) { + void *new = pbc_mem_malloc(new_size); + if(!new) pbc_die("realloc() error"); + if(old) { + old = pbc_ptr_to_mem(old); + memcpy(pbc_mem_to_ptr(new), pbc_mem_to_ptr(old), pbc_mem_get_size(old)); + pbc_mem_free(old); + } + return pbc_mem_to_ptr(new); +} + +static void default_pbc_free(void *ptr) { + if(ptr) + pbc_mem_free(pbc_ptr_to_mem(ptr)); +} +#else +static void *default_pbc_malloc(size_t size) { + void *res = malloc(size); + if (!res) pbc_die("malloc() error"); + return res; +} + +static void *default_pbc_realloc(void *ptr, size_t size) { + void *res = realloc(ptr, size); + if (!res) pbc_die("realloc() error"); + return res; +} + +static void default_pbc_free(void *ptr) { free(ptr); } +#endif + +/* release memory got from pbc_malloc only by pbc_free(), do not use free() */ +void *(*pbc_malloc)(size_t) = default_pbc_malloc; +/* pbc_realloc guarantees zeroing out the memory before moving old memory */ +void *(*pbc_realloc)(void *, size_t) = default_pbc_realloc; +/* pbc_free guarantees zeroing out the memory */ +void (*pbc_free)(void *) = default_pbc_free; + +void pbc_set_memory_functions(void *(*malloc_fn)(size_t), + void *(*realloc_fn)(void *, size_t), void (*free_fn)(void *)) { + pbc_malloc = malloc_fn; + pbc_realloc = realloc_fn; + pbc_free = free_fn; +} + +void *pbc_calloc(size_t nmemb, size_t size) { + void *res = pbc_malloc(nmemb * size); + if (!res) pbc_die("calloc() error"); + memset(res, 0, nmemb * size); + return res; +} + +char *pbc_strdup(const char *s) { + int len = strlen(s); + char *res = pbc_malloc(len + 1); + strcpy(res, s); + return res; +} diff --git a/moon-abe/pbc-0.5.14/misc/symtab.c b/moon-abe/pbc-0.5.14/misc/symtab.c new file mode 100644 index 00000000..9d62f590 --- /dev/null +++ b/moon-abe/pbc-0.5.14/misc/symtab.c @@ -0,0 +1,67 @@ +#include <stdlib.h> +#include <string.h> +#include "pbc_memory.h" + +#include "symtab.h" + +struct entry_s { + char *key; + void *data; +}; +typedef struct entry_s *entry_ptr; +typedef struct entry_s entry_t[1]; + +void symtab_init(symtab_t t) { + darray_init(t->list); +} + +static void clear(void *data) { + entry_ptr e = data; + pbc_free(e->key); + pbc_free(e); +} + +void symtab_clear(symtab_t t) { + darray_forall(t->list, clear); + darray_clear(t->list); +} + +void symtab_put(symtab_t t, void *data, const char *key) { + int i, n = t->list->count; + entry_ptr e; + for (i=0; i<n; i++) { + e = t->list->item[i]; + if (!strcmp(e->key, key)) goto doit; + } + e = pbc_malloc(sizeof(entry_t)); + e->key = pbc_strdup(key); + darray_append(t->list, e); +doit: + e->data = data; +} + +int symtab_has(symtab_t t, const char *key) { + int i, n = t->list->count; + for (i = 0; i < n; i++) { + entry_ptr e = t->list->item[i]; + if (!strcmp(e->key, key)) return 1; + } + return 0; +} + +void *symtab_at(symtab_t t, const char *key) { + int i, n = t->list->count; + for (i=0; i<n; i++) { + entry_ptr e = t->list->item[i]; + if (!strcmp(e->key, key)) return e->data; + } + return NULL; +} + +void symtab_forall_data(symtab_t t, void (*func)(void *)) { + int i, n = t->list->count; + for (i=0; i<n; i++) { + entry_ptr e = t->list->item[i]; + func(e->data); + } +} diff --git a/moon-abe/pbc-0.5.14/misc/symtab.h b/moon-abe/pbc-0.5.14/misc/symtab.h new file mode 100644 index 00000000..39f255c3 --- /dev/null +++ b/moon-abe/pbc-0.5.14/misc/symtab.h @@ -0,0 +1,43 @@ +#ifndef __PBC_SYMTAB_H__ +#define __PBC_SYMTAB_H__ + +#include "darray.h" + +#pragma GCC visibility push(hidden) + +struct symtab_s { + darray_t list; +}; +typedef struct symtab_s symtab_t[1]; +typedef struct symtab_s *symtab_ptr; + +/*@manual symtab +Initialize symbol table 't'. Must be called before 't' is used. +*/ +void symtab_init(symtab_t t); + +/*@manual symtab +Clears symbol table 't'. Should be called after 't' is no longer needed. +*/ +void symtab_clear(symtab_t t); + +/*@manual symtab +Puts 'value' at 'key' in 't'. +*/ +void symtab_put(symtab_t t, void *value, const char *key); + +/*@manual symtab +Returns true if 't' contains key 'key'. +*/ +int symtab_has(symtab_t t, const char *key); + +/*@manual symtab +Returns pointer at key 'key' in 't'. +*/ +void *symtab_at(symtab_t t, const char *key); + +void symtab_forall_data(symtab_t t, void (*func)(void *)); + +#pragma GCC visibility pop + +#endif //__PBC_SYMTAB_H__ diff --git a/moon-abe/pbc-0.5.14/misc/utils.c b/moon-abe/pbc-0.5.14/misc/utils.c new file mode 100644 index 00000000..1a808256 --- /dev/null +++ b/moon-abe/pbc-0.5.14/misc/utils.c @@ -0,0 +1,101 @@ +#include <stdarg.h> +#include <stdio.h> +#include <stdlib.h> +#include <stdint.h> // for intptr_t +#include <gmp.h> + +#include "pbc_utils.h" +#include "pbc_field.h" + +static int pbc_msg_to_stderr = 1; + +int pbc_set_msg_to_stderr(int i) { + return pbc_msg_to_stderr = i; +} + +static int out(const char *format, ...) { + if (!pbc_msg_to_stderr) return 0; + va_list params; + + va_start(params, format); + int res = vfprintf(stderr, format, params); + va_end(params); + return res; +} + +static void print_warning(void) { + static int first = 1; + if (first) { + out("*** PBC asserts enabled: potential performance penalties ***\n"); + first = 0; + } +} + +void pbc_assert(int expr, char *msg, const char *func) { + print_warning(); + if (!expr) { + out("PBC assert failed: %s(): %s\n", func, msg); + abort(); + } +} + +void pbc_assert_match2(element_ptr a, element_ptr b, const char *func) { + print_warning(); + if (a->field != b->field) { + out("PBC assert failed: %s(): field mismatch\n", func); + abort(); + } +} + +void pbc_assert_match3(element_ptr a, element_ptr b, element_ptr c, + const char *func) { + print_warning(); + if (a->field != b->field) { + out("PBC assert failed: %s(): first two args field mismatch\n", func); + abort(); + } + if (b->field != c->field) { + out("PBC assert failed: %s(): last two args field mismatch\n", func); + abort(); + } +} + +// Print at most the first 1024 bytes of an error message. +static void report(const char *prefix, const char *err, va_list params) { + char msg[1024]; + element_vsnprintf(msg, sizeof(msg), err, params); + out("%s%s\n", prefix, msg); +} + +void pbc_die(const char *err, ...) { + va_list params; + + va_start(params, err); + report("fatal: ", err, params); + va_end(params); + exit(128); +} + +void pbc_info(const char *err, ...) { + va_list params; + + va_start(params, err); + report("", err, params); + va_end(params); +} + +void pbc_warn(const char *err, ...) { + va_list params; + + va_start(params, err); + report("warning: ", err, params); + va_end(params); +} + +void pbc_error(const char *err, ...) { + va_list params; + + va_start(params, err); + report("error: ", err, params); + va_end(params); +} diff --git a/moon-abe/pbc-0.5.14/param/a.param b/moon-abe/pbc-0.5.14/param/a.param new file mode 100644 index 00000000..cee0e9bb --- /dev/null +++ b/moon-abe/pbc-0.5.14/param/a.param @@ -0,0 +1,8 @@ +type a +q 8780710799663312522437781984754049815806883199414208211028653399266475630880222957078625179422662221423155858769582317459277713367317481324925129998224791 +h 12016012264891146079388821366740534204802954401251311822919615131047207289359704531102844802183906537786776 +r 730750818665451621361119245571504901405976559617 +exp2 159 +exp1 107 +sign1 1 +sign0 1 diff --git a/moon-abe/pbc-0.5.14/param/a1.param b/moon-abe/pbc-0.5.14/param/a1.param new file mode 100644 index 00000000..fd6957f5 --- /dev/null +++ b/moon-abe/pbc-0.5.14/param/a1.param @@ -0,0 +1,4 @@ +type a1 +p 48512875896303752499712277254589628516419352188294521198189567511009073158115045361294839347099315898960045398524682007334164928531594799149100548036445760110913157420655690361891290858441360807158247259460501343449199712532828063940008683740048500980441989713739689655610578458388126934242630557397618776539259 +n 36203638728584889925158415861634051131656232976339194924022065306723188923966451762160327870969638730567198058600508960697138006366861790409776528385407283664860565239295291314844246909284597617282274074224254733917313218308080644731349763985110821627195514711746037056425804819692632040479575042834043863089 +l 1340 diff --git a/moon-abe/pbc-0.5.14/param/d105171-196-185.param b/moon-abe/pbc-0.5.14/param/d105171-196-185.param new file mode 100644 index 00000000..6242cef1 --- /dev/null +++ b/moon-abe/pbc-0.5.14/param/d105171-196-185.param @@ -0,0 +1,14 @@ +type d +q 90144054120102937439179516551801119443207521965651508326977 +n 90144054120102937439179516552101359437412329625948146453801 +h 3523 +r 25587298927080027658012919827448583433838299638361665187 +a 53241464724463691897001131065853762954208272388634868483573 +b 5446291776274815451607581859968802155069674270539409546723 +k 6 +nk 536565217356706344663314419655601558604376922027564701618757289270614360593294739461568130362279778081437146273088457636627768012396592169059882662689261645948113285006858612654825829457395553891546397990662355454563776046265747800873542312230073566643975827908869710713161941935371830987701273239900997531501272405727670675418703842862606824000125008640 +hk 819546557806423450339849940898193664969813698879192227897917671302330185914203886301113045602626676261586588840857293388779160133822229389038218318388504449595493650939257095992443062327856033482709266319687677297858891026083277228064475554560 +coeff0 43907136006531280293838495445857758305366399383908394927288 +coeff1 21720089592072695009765372832780685887129370300993349347738 +coeff2 11773373318911376280677890769414834592007872486079550520860 +nqr 4468071665857441743453009416233415235254714637554162977327 diff --git a/moon-abe/pbc-0.5.14/param/d159.param b/moon-abe/pbc-0.5.14/param/d159.param new file mode 100644 index 00000000..6303b336 --- /dev/null +++ b/moon-abe/pbc-0.5.14/param/d159.param @@ -0,0 +1,14 @@ +type d +q 625852803282871856053922297323874661378036491717 +n 625852803282871856053923088432465995634661283063 +h 3 +r 208617601094290618684641029477488665211553761021 +a 581595782028432961150765424293919699975513269268 +b 517921465817243828776542439081147840953753552322 +k 6 +nk 60094290356408407130984161127310078516360031868417968262992864809623507269833854678414046779817844853757026858774966331434198257512457993293271849043664655146443229029069463392046837830267994222789160047337432075266619082657640364986415435746294498140589844832666082434658532589211525696 +hk 1380801711862212484403205699005242141541629761433899149236405232528956996854655261075303661691995273080620762287276051361446528504633283152278831183711301329765591450680250000592437612973269056 +coeff0 472731500571015189154958232321864199355792223347 +coeff1 352243926696145937581894994871017455453604730246 +coeff2 289113341693870057212775990719504267185772707305 +nqr 431211441436589568382088865288592347194866189652 diff --git a/moon-abe/pbc-0.5.14/param/d201.param b/moon-abe/pbc-0.5.14/param/d201.param new file mode 100644 index 00000000..4a3a7802 --- /dev/null +++ b/moon-abe/pbc-0.5.14/param/d201.param @@ -0,0 +1,14 @@ +type d +q 2094476214847295281570670320144695883131009753607350517892357 +n 2094476214847295281570670320143248652598286201895740019876423 +h 1122591 +r 1865751832009427548920907365321162072917283500309320153 +a 9937051644888803031325524114144300859517912378923477935510 +b 6624701096592535354217016076096200573011941585948985290340 +k 6 +nk 84421409121513221644716967251498543569964760150943970280296295496165154657097987617093928595467244393873913569302597521196137376192587250931727762632568620562823714441576400096248911214941742242106512149305076320555351603145285797909942596124862593877499051211952936404822228308154770272833273836975042632765377879565229109013234552083886934379264203243445590336 +hk 24251848326363771171270027814768648115136299306034875585195931346818912374815385257266068811350396365799298585287746735681314613260560203359251331805443378322987677594618057568388400134442772232086258797844238238645130212769322779762522643806720212266304 +coeff0 362345194706722765382504711221797122584657971082977778415831 +coeff1 856577648996637037517940613304411075703495574379408261091623 +coeff2 372728063705230489408480761157081724912117414311754674153886 +nqr 279252656555925299126768437760706333663688384547737180929542 diff --git a/moon-abe/pbc-0.5.14/param/d224.param b/moon-abe/pbc-0.5.14/param/d224.param new file mode 100644 index 00000000..70ca0836 --- /dev/null +++ b/moon-abe/pbc-0.5.14/param/d224.param @@ -0,0 +1,14 @@ +type d +q 15028799613985034465755506450771565229282832217860390155996483840017 +n 15028799613985034465755506450771561352583254744125520639296541195021 +h 1 +r 15028799613985034465755506450771561352583254744125520639296541195021 +a 1871224163624666631860092489128939059944978347142292177323825642096 +b 9795501723343380547144152006776653149306466138012730640114125605701 +k 6 +nk 11522474695025217370062603013790980334538096429455689114222024912184432319228393204650383661781864806076247259556378350541669994344878430136202714945761488385890619925553457668158504202786580559970945936657636855346713598888067516214634859330554634505767198415857150479345944721710356274047707536156296215573412763735135600953865419000398920292535215757291539307525639675204597938919504807427238735811520 +hk 51014915936684265604900487195256160848193571244274648855332475661658304506316301006112887177277345010864012988127829655449256424871024500368597989462373813062189274150916552689262852603254011248502356041206544262755481779137398040376281542938513970473990787064615734720 +coeff0 11975189258259697166257037825227536931446707944682470951111859446192 +coeff1 13433042200347934827742738095249546804006687562088254057411901362771 +coeff2 8327464521117791238079105175448122006759863625508043495770887411614 +nqr 142721363302176037340346936780070353538541593770301992936740616924 diff --git a/moon-abe/pbc-0.5.14/param/d277699-175-167.param b/moon-abe/pbc-0.5.14/param/d277699-175-167.param new file mode 100644 index 00000000..4b17cba2 --- /dev/null +++ b/moon-abe/pbc-0.5.14/param/d277699-175-167.param @@ -0,0 +1,14 @@ +type d +q 24994387946177175129042685848468049026804978919305617 +n 24994387946177175129042685690371913886893430450813821 +h 229 +r 109145798891603384842981160219964689462416726859449 +a 598438980536154202688764346450047600409548341922774 +b 2875105607672412900453598974161063211122182087044229 +k 6 +nk 243811978207976466816344961736020867657571589744716369993616160430124878187777534556332968211231348405325558364420372020389334407618390934280171068317414599279780297481622580529528050992634268269363295483561945471307823553023060227602413124921195950792341822316780542925838280447629986129163382236857435952423222720 +hk 20466377960554454661250703981850495382861210804514548253197536030737388862020158040530944627371011675413446234288217324489952533357398143673990515812569649274174108257473718452526832616061894959492351305900495030720 +coeff0 10041240416257104004698194348998922958451952509010108 +coeff1 6606091442536002616272024969858190106364268669962931 +coeff2 12365372508104594162350045194732619146000136006974723 +nqr 4719190100394795070479603407875910135476373878231286 diff --git a/moon-abe/pbc-0.5.14/param/d278027-190-181.param b/moon-abe/pbc-0.5.14/param/d278027-190-181.param new file mode 100644 index 00000000..618df405 --- /dev/null +++ b/moon-abe/pbc-0.5.14/param/d278027-190-181.param @@ -0,0 +1,14 @@ +type d +q 1025495854338995749571854560267623501674077942914916484097 +n 1025495854338995749571854560299646865868662429911796824033 +h 507 +r 2022674268913206606650600710650191056940162583652459219 +a 494269185205966411737543736898850690664292886001616030226 +b 329512790137310941158362491265900460442861924001077353484 +k 6 +nk 1163063573811270165418238020887346859653395473890436628526146579469835139893592951370316986442274188522240665142315088845208474263130963692231646660745632465067191546037520099467878991038317453245980447223411653285837935397784647413623321732546136850572717414092922159420979113590712309473365852809027797574703469302515439503999924539399090176 +hk 284283435268437561375615427397926034491451593725613267750320269284935326382124567760429621954504595753708251572460518724890352303911035771114654446079537012334942433977914482649786330507074232745179428411947147165283593756194384162816 +coeff0 371147398957045566296469880060929177532640478149373679647 +coeff1 799893859981434553395477926437166938993746654077284825629 +coeff2 487916511441855364478875403860530511399828011671346895561 +nqr 229823540541650681569938894061962046762057059051593485287 diff --git a/moon-abe/pbc-0.5.14/param/e.param b/moon-abe/pbc-0.5.14/param/e.param new file mode 100644 index 00000000..83aa36cd --- /dev/null +++ b/moon-abe/pbc-0.5.14/param/e.param @@ -0,0 +1,10 @@ +type e +q 7245986106510086080714203333362098431608853335867425877960916928496629182991629664903654100214900946450053872786629995869445693724001299041657434948257845644905153122838458864000479326695430719258600053239930483226650953770354174712511646273516974069245462534034085895319225452125649979474047163305307830001 +r 730750862221594424981965739670091261094297337857 +h 13569343110918781839835249021482970252603216587988030044836106948825516930173270978617489032334001006615524543925753725725046733884363846960470444404747241287743773746682188521738728797153760275116924829183670000 +a 7130970454025799000067946137594446075551569949583815943390108723282396973737794273397246892274981883807989525599540630855644968426794929215599380425269625872763801485968007136000471718335185787206876242871042697778608875139078711621836858237429403052273312335081163896980825048123655535355411494046493419999 +b 7169309004853894693616698536183663527570664411678352588247044791687141043489072737232715961588288238022010974661903752526911876859197052490952065266265699130144252031591491045333807587788600764557450846327338626261289568016170532652061787582791926724597362401398804563093625182790987016728290050466098223333 +exp2 159 +exp1 135 +sign1 1 +sign0 1 diff --git a/moon-abe/pbc-0.5.14/param/f.param b/moon-abe/pbc-0.5.14/param/f.param new file mode 100644 index 00000000..9712d2fb --- /dev/null +++ b/moon-abe/pbc-0.5.14/param/f.param @@ -0,0 +1,7 @@ +type f +q 205523667896953300194896352429254920972540065223 +r 205523667896953300194895899082072403858390252929 +b 40218105156867728698573668525883168222119515413 +beta 115334401956802802075595682801335644058796914268 +alpha0 191079354656274778837764015557338301375963168470 +alpha1 71445317903696340296199556072836940741717506375 diff --git a/moon-abe/pbc-0.5.14/param/g149.param b/moon-abe/pbc-0.5.14/param/g149.param new file mode 100644 index 00000000..d026d083 --- /dev/null +++ b/moon-abe/pbc-0.5.14/param/g149.param @@ -0,0 +1,16 @@ +type g +q 503189899097385532598615948567975432740967203 +n 503189899097385532598571084778608176410973351 +h 1 +r 503189899097385532598571084778608176410973351 +a 465197998498440909244782433627180757481058321 +b 463074517126110479409374670871346701448503064 +k 10 +nk 1040684643531490707494989587381629956832530311976146077888095795458709511789670022388326295177424065807612879371896982185473788988016190582073591316127396374860265835641044035656044524481121528846249501655527462202999638159773731830375673076317719519977183373353791119388388468745670818193868532404392452816602538968163226713846951514831917487400267590451867746120591750902040267826351982737642689423713163967384383105678367875981348397359466338807 +hk 4110127713690841149713310614420858884651261781185442551927080083178682965171097172366598236129731931693425629387502221804555636704708008882811353539555915064049685663790355716130262332064327767695339422323460458479884756000782939428852120522712008037615051139080628734566850259704397643028017435446110322024094259858170303605703280329322675124728639532674407 +coeff0 67343110967802947677845897216565803152319250 +coeff1 115936772834120270862756636148166314916823221 +coeff2 87387877425076080433559927080662339215696505 +coeff3 433223145899090928132052677121692683015058909 +coeff4 405367866213598664862417230702935310328613596 +nqr 22204504160560785687198080413579021865783099 diff --git a/moon-abe/pbc-0.5.14/param/i.param b/moon-abe/pbc-0.5.14/param/i.param new file mode 100644 index 00000000..f8db1e2e --- /dev/null +++ b/moon-abe/pbc-0.5.14/param/i.param @@ -0,0 +1,5 @@ +type i +m 97 +t 12 +n 2726865189058261010774960798134976187171462721 +n2 7 diff --git a/moon-abe/pbc-0.5.14/pbc/bilinear.test b/moon-abe/pbc-0.5.14/pbc/bilinear.test new file mode 100644 index 00000000..956c792e --- /dev/null +++ b/moon-abe/pbc-0.5.14/pbc/bilinear.test @@ -0,0 +1,50 @@ +define test_element_order(group) { + a := random(group); + o := order(group); + b := a^o; + CHECK(b == group(0)); +} + +define test_group_order() { + CHECK(order(G1) == order(G2)); + CHECK(order(G2) == order(GT)); + a := pairing(random(G1), random(G2)); + o := order(GT); + b := a^o; + CHECK(b == GT(0)); +} + +define test_pairing_with_zero() { + CHECK(GT(0) == GT(1)); + CHECK(pairing(G1(0), random(G2)) == GT(0)); + CHECK(pairing(random(G1), G2(0)) == GT(0)); + CHECK(pairing(G1(0), G2(0)) == GT(0)); +} + +define test_bilinear() { + a1 := random(G1); + b1 := random(G2); + x := random(Zr); + y := random(Zr); + CHECK(pairing(a1^x, b1) == pairing(a1, b1^x)); + CHECK(pairing(a1^x, b1) == pairing(a1, b1)^x); + CHECK(pairing(a1, b1^x) == pairing(a1, b1)^x); + CHECK(pairing(a1^x, b1^y) == pairing(a1, b1)^(x*y)); +} + +define test(initfn) { + initfn(); + test_element_order(G1); + test_element_order(G2); + test_element_order(GT); + test_group_order(); + test_pairing_with_zero(); + test_bilinear(); +} + +test(init_pairing_a); +test(init_pairing_d); +test(init_pairing_e); +test(init_pairing_f); +test(init_pairing_g); +test(init_pairing_i); diff --git a/moon-abe/pbc-0.5.14/pbc/g2_test.pbc b/moon-abe/pbc-0.5.14/pbc/g2_test.pbc new file mode 100644 index 00000000..892660f9 --- /dev/null +++ b/moon-abe/pbc-0.5.14/pbc/g2_test.pbc @@ -0,0 +1,37 @@ +# Exercises a bug found by Zhang Ye. + +define test_cmp_0(initfn) { + initfn(); + CHECK(random(G2) != G2(0)); + CHECK(G2(0) != random(G2)); + CHECK(G2(0) == G2(0)); + CHECK(random(G1) != G1(0)); + CHECK(G1(0) != random(G1)); + CHECK(G1(0) == G1(0)); +} + +test_cmp_0(init_pairing_a); +test_cmp_0(init_pairing_d); +test_cmp_0(init_pairing_e); +test_cmp_0(init_pairing_f); +test_cmp_0(init_pairing_g); +test_cmp_0(init_pairing_i); + +# Exercises a bug found by Mario Di Raimondo. + +define test_g2_cmp(initfn) { + initfn(); + a := rnd(G2); + m := rnd(Zr); + n := rnd(Zr); + CHECK((a^m)^n == a^(m*n)); + CHECK(a != a^m); + CHECK(a != a^n); +} + +test_g2_cmp(init_pairing_a); +test_g2_cmp(init_pairing_d); +test_g2_cmp(init_pairing_e); +test_g2_cmp(init_pairing_f); +test_g2_cmp(init_pairing_g); +test_g2_cmp(init_pairing_i); diff --git a/moon-abe/pbc-0.5.14/pbc/oldpbc.c b/moon-abe/pbc-0.5.14/pbc/oldpbc.c new file mode 100644 index 00000000..525fe8f2 --- /dev/null +++ b/moon-abe/pbc-0.5.14/pbc/oldpbc.c @@ -0,0 +1,1221 @@ +// Pairing-Based Calculator. +// Mainly for demonstration purposes. +// +// It's times like these I wish C had garbage collection. + +#include <string.h> +#include <ctype.h> +#include <stdarg.h> +#include <unistd.h> //for getopt +#include "pbc.h" +#include "pbc_z.h" +#include "pbc_fp.h" + +#include "misc/darray.h" +#include "misc/symtab.h" + +char *pbc_getline(const char *); + +enum { + t_none = 0, + t_id, + t_int, + t_string, + t_comma, + t_lparen, + t_rparen, + t_add, + t_sub, + t_mul, + t_div, + t_set, + t_pow, + t_unk, + t_function, + t_pairing, + t_element, + t_field, + t_err, +}; + +enum { + pe_expect_factor = 100, + pe_expect_rparen, + pe_arglist, + re_varnotfound = 200, + re_badlvalue, + re_funnotfound, + re_unimplemented, + re_badargcount, + re_badarg, + re_fieldmismatch, +}; + +static int option_echo = 0; + +static field_t Z; + +static int tok_type; +//TODO: dynamic allocation: +static char word[1024]; + +struct id_s { + char *data; + int alloc; +}; +typedef struct id_s *id_ptr; + +id_ptr id_new(char *id) { + id_ptr res = pbc_malloc(sizeof(struct id_s)); + res->alloc = strlen(id) + 1; + res->data = pbc_malloc(res->alloc); + strcpy(res->data, id); + return res; +} + +void id_delete(id_ptr id) { + pbc_free(id->data); + pbc_free(id); +} + +struct tree_s { + int type; + void *data; + darray_t child; +}; +typedef struct tree_s *tree_ptr; + +tree_ptr tree_new(int type, void *data) { + tree_ptr res = pbc_malloc(sizeof(struct tree_s)); + res->type = type; + res->data = data; + darray_init(res->child); + return res; +} + +static void delete_child(void *p) { + tree_delete(p); +} + +void tree_delete(tree_ptr t) { + darray_forall(t->child, delete_child); + darray_clear(t->child); + switch(t->type) { + case t_id: + case t_string: + case t_function: + case t_int: + id_delete(t->data); + break; + } + pbc_free(t); +} + +static char *currentline; +static char *lexcp; + + +static void lex(void) { + char c; + if (!lexcp) { + tok_type = t_none; + return; + } + c = *lexcp++; + skipwhitespace: + for (;;) { + if (!strchr(" \t\r\n", c)) break; + if (!c) { + tok_type = t_none; + return; + } + c = *lexcp++; + } + + //comments start with '#' and end at a newline + if (c == '#') { + for (;;) { + c = *lexcp++; + if (!c) { + tok_type = t_none; + return; + } + if (c == '\n') break; + } + goto skipwhitespace; + } + + //strings + if (c == '"') { + tok_type = t_string; + int i = 0; + for (;;) { + c = *lexcp++; + if (!c) { + //string continues on next line + word[i++] = '\n'; + pbc_free(currentline); + currentline = pbc_getline(NULL); + if (!currentline) break; + if (option_echo) puts(currentline); + lexcp = currentline; + c = *lexcp++; + } + if (c == '"') { + break; + } + word[i++] = c; + } + word[i] = '\0'; + return; + } + + if (isdigit(c)) { + tok_type = t_int; + word[0] = c; + + int i = 1; + for (;;) { + c = *lexcp++; + if (isdigit(c)) { + word[i++] = c; + } else { + word[i] = '\0'; + lexcp--; + break; + } + } + return; + } + + if (isalpha(c) || c == '_') { + tok_type = t_id; + word[0] = c; + + int i = 1; + for (;;) { + c = *lexcp++; + if (isalnum(c) || c == '_') { + word[i++] = c; + } else { + word[i] = '\0'; + lexcp--; + break; + } + } + return; + } + + switch(c) { + case ',': + tok_type = t_comma; + break; + case '=': + tok_type = t_set; + break; + case '^': + tok_type = t_pow; + break; + case '*': + tok_type = t_mul; + break; + case '/': + tok_type = t_div; + break; + case '+': + tok_type = t_add; + break; + case '-': + tok_type = t_sub; + break; + case '(': + tok_type = t_lparen; + break; + case ')': + tok_type = t_rparen; + break; + default: + tok_type = t_unk; + break; + } +} + +static int lastparseerror; +static void setparseerror(int i) { + lastparseerror = i; +} + +static tree_ptr parsesetexpr(void); + +static tree_ptr parseexprlist(tree_ptr t) { + tree_ptr c; + lex(); // expect lparen + if (tok_type == t_rparen) { + lex(); + return t; + } + c = parsesetexpr(); + if (!c) return NULL; + darray_append(t->child, c); + for (;;) { + if (tok_type == t_rparen) { + lex(); + return t; + } + if (tok_type != t_comma) { + setparseerror(pe_arglist); + return NULL; + } + lex(); //expect comma + c = parsesetexpr(); + if (!c) return NULL; + darray_append(t->child, c); + } +} + +static tree_ptr parseprimitive(void) { + tree_ptr t; + switch(tok_type) { + id_ptr id; + case t_id: + id = id_new(word); + lex(); + if (tok_type == t_lparen) { + if (parseexprlist(t = tree_new(t_function, id))) { + return t; + } + tree_delete(t); + return NULL; + } else { + return tree_new(t_id, id); + } + case t_string: + lex(); + return tree_new(t_string, id_new(word)); + case t_lparen: + lex(); + t = parsesetexpr(); + if (!t) return NULL; + if (tok_type != t_rparen) { + tree_delete(t); + setparseerror(pe_expect_rparen); + return NULL; + } + lex(); + return t; + case t_int: + id = id_new(word); + lex(); + return tree_new(t_int, id); + default: + setparseerror(pe_expect_factor); + return NULL; + } +} + +static tree_ptr parsepow(void) { + tree_ptr t1; + t1 = parseprimitive(); + if (tok_type == t_pow) { + tree_ptr t2, res; + lex(); + t2 = parseprimitive(); + if (!t2) { + tree_delete(t1); + return NULL; + } + res = tree_new(t_function, id_new("pow")); + darray_append(res->child, t1); + darray_append(res->child, t2); + return res; + } + return t1; +} + +static tree_ptr parsefactor(void) { + tree_ptr t; + if (tok_type == t_sub) { + lex(); + t = parsefactor(); + if (!t) return NULL; + tree_ptr t1 = tree_new(t_function, id_new("neg")); + darray_append(t1->child, t); + return t1; + } + + t = parsepow(); + return t; +} + +static tree_ptr parseterm(void) { + tree_ptr t1, t2, res; + res = parsefactor(); + if (!res) return NULL; + for (;;) { + switch(tok_type) { + case t_mul: + lex(); + t2 = parsefactor(); + if (!t2) { + tree_delete(res); + return NULL; + } + t1 = tree_new(t_function, id_new("mul")); + darray_append(t1->child, res); + darray_append(t1->child, t2); + res = t1; + break; + case t_div: + lex(); + t2 = parsefactor(); + if (!t2) { + tree_delete(res); + return NULL; + } + t1 = tree_new(t_function, id_new("div")); + darray_append(t1->child, res); + darray_append(t1->child, t2); + res = t1; + break; + default: + return res; + } + } +} + +static tree_ptr parseexpr(void) { + tree_ptr t1, t2, res; + res = parseterm(); + if (!res) { + return NULL; + } + for (;;) { + switch(tok_type) { + case t_add: + lex(); + t2 = parseterm(); + if (!t2) { + tree_delete(res); + return NULL; + } + //t1 = tree_new(t_add, NULL); + t1 = tree_new(t_function, id_new("add")); + darray_append(t1->child, res); + darray_append(t1->child, t2); + res = t1; + break; + case t_sub: + lex(); + t2 = parseterm(); + if (!t2) { + tree_delete(res); + return NULL; + } + //t1 = tree_new(t_sub, NULL); + t1 = tree_new(t_function, id_new("sub")); + darray_append(t1->child, res); + darray_append(t1->child, t2); + res = t1; + break; + default: + return res; + } + } +} + +static tree_ptr parsesetexpr(void) { + tree_ptr t1, t2, res; + t1 = parseexpr(); + if (!t1) return NULL; + if (tok_type == t_set) { + lex(); + t2 = parsesetexpr(); + if (!t2) { + tree_delete(t1); + return NULL; + } + res = tree_new(t_set, NULL); + darray_append(res->child, t1); + darray_append(res->child, t2); + return res; + } + return t1; +} + +static void print_tree(tree_ptr t) { + id_ptr id; + int i; + if (!t) { + printf("NULL"); + return; + } + switch (t->type) { + case t_set: + print_tree(t->child->item[0]); + printf(" = "); + print_tree(t->child->item[1]); + break; + case t_id: + id = t->data; + printf("%s", id->data); + break; + case t_function: + id = t->data; + printf("%s(", id->data); + for (i=0; i<t->child->count; i++) { + print_tree(t->child->item[i]); + if (i < t->child->count - 1) printf(", "); + } + printf(")"); + break; + default: + printf("?!?"); + break; + } +} + +static symtab_t var; +static symtab_t builtin; + +struct val_s { + int type; + void *data; +}; +typedef struct val_s *val_ptr; + +static int lastruntimeerror; +static val_ptr newruntimeerror(int i) { + val_ptr res = pbc_malloc(sizeof(struct val_s)); + lastruntimeerror = i; + res->type = t_err; + res->data = int_to_voidp(i); + return res; +} + +val_ptr val_new(int type, void *data) { + val_ptr res = pbc_malloc(sizeof(struct val_s)); + res->type = type; + res->data = data; + return res; +} + +static void val_print(val_ptr v) { + pairing_ptr pairing; + field_ptr field; + element_ptr e; + switch (v->type) { + case t_element: + e = v->data; + element_out_str(stdout, 0, e); + printf("\n"); + break; + case t_pairing: + pairing = v->data; + printf("pairing: G1bits=%d G2bits=%d GTbits=%d\n", + pairing_length_in_bytes_x_only_G1(pairing) * 8, + pairing_length_in_bytes_x_only_G2(pairing) * 8, + pairing_length_in_bytes_GT(pairing) * 8); + break; + case t_field: + field = v->data; + field_out_info(stdout, field); + break; + case t_string: + printf("%s", (char *) v->data); + break; + default: + printf("val type %d unknown\n", v->type); + break; + } +} + +val_ptr val_copy(val_ptr v) { + val_ptr res = pbc_malloc(sizeof(struct val_s)); + res->type = v->type; + if (v->type == t_element) { + //current policy: always clear elements, always copy elements + res->data = pbc_malloc(sizeof(element_t)); + element_ptr e = v->data; + element_init(res->data, e->field); + element_set(res->data, e); + } else if (v->type == t_string) { + res->data = pbc_strdup(v->data); + } else { + res->data = v->data; + } + + return res; +} + +void val_delete(val_ptr v) { + switch(v->type) { + case t_element: + //current policy: always clear elements, always copy elements + element_clear(v->data); + pbc_free(v->data); + break; + case t_string: + pbc_free(v->data); + break; + case t_err: + break; + case t_pairing: + break; + case t_field: + break; + default: + printf("val_delete: case %d not handled: memory leak\n", v->type); + break; + } + pbc_free(v); +} + +struct fun_s { + val_ptr (*f)(darray_ptr); + int arity; + int type[32]; //TODO: replace with darray? who needs more than 32 args? +}; + +typedef val_ptr (*fun)(darray_ptr); + +static val_ptr check_arg(darray_ptr arg, int n, ...) { + va_list ap; + int i; + val_ptr res = NULL; + + va_start(ap, n); + if (arg->count != n) { + printf("expect %d argument(s)\n", n); + res = newruntimeerror(re_badargcount); + } else for (i=0; i<n; i++) { + int t = va_arg(ap, int); + val_ptr vp = arg->item[i]; + if (vp->type != t) { + printf("arg not type %d\n", t); + return newruntimeerror(re_badarg); + break; + } + } + + va_end(ap); + return res; +} + +static val_ptr f_pairing_get_group( + field_ptr (*get_group)(pairing_ptr p), darray_ptr arg) { + val_ptr res; + res = check_arg(arg, 1, t_pairing); + if (res) return res; + val_ptr a0 = arg->item[0]; + pairing_ptr pairing = a0->data; + res = val_new(t_field, get_group(pairing)); + return res; +} + +static val_ptr f_pairing_G1(darray_ptr arg) { + field_ptr getG1(pairing_ptr p) { return p->G1; } + return f_pairing_get_group(getG1, arg); +} + +static val_ptr f_pairing_G2(darray_ptr arg) { + field_ptr getG2(pairing_ptr p) { return p->G2; } + return f_pairing_get_group(getG2, arg); +} + +static val_ptr f_pairing_GT(darray_ptr arg) { + field_ptr getGT(pairing_ptr p) { return p->GT; } + return f_pairing_get_group(getGT, arg); +} + +static val_ptr f_pairing_Zr(darray_ptr arg) { + field_ptr getZr(pairing_ptr p) { return p->Zr; } + return f_pairing_get_group(getZr, arg); +} + +static val_ptr f_random(darray_ptr arg) { + val_ptr res; + res = check_arg(arg, 1, t_field); + if (res) return res; + val_ptr a0 = arg->item[0]; + field_ptr f = a0->data; + element_ptr e = pbc_malloc(sizeof(element_t)); + element_init(e, f); + element_random(e); + res = val_new(t_element, e); + return res; +} + +static val_ptr f_order(darray_ptr arg) { + val_ptr res; + res = check_arg(arg, 1, t_field); + if (res) return res; + val_ptr a0 = arg->item[0]; + field_ptr f = a0->data; + + element_ptr e = pbc_malloc(sizeof(element_t)); + element_init(e, Z); + element_set_mpz(e, f->order); + res = val_new(t_element, e); + return res; +} + +static val_ptr f_unary( + void (*unary)(element_ptr, element_ptr), darray_ptr arg) { + val_ptr res; + res = check_arg(arg, 1, t_element); + if (res) return res; + val_ptr a0 = arg->item[0]; + element_ptr e0 = a0->data; + element_ptr e = pbc_malloc(sizeof(element_t)); + element_init(e, e0->field); + unary(e, e0); + res = val_new(t_element, e); + return res; +} + +static val_ptr f_bin_op( + void (*binop)(element_ptr, element_ptr, element_ptr), + darray_ptr arg) { + val_ptr res; + res = check_arg(arg, 2, t_element, t_element); + if (res) return res; + val_ptr a0 = arg->item[0]; + val_ptr a1 = arg->item[1]; + element_ptr e0 = a0->data; + element_ptr e1 = a1->data; + if (e0->field != e1->field) { + printf("field mismatch!\n"); + return newruntimeerror(re_fieldmismatch); + } + element_ptr e = pbc_malloc(sizeof(element_t)); + element_init(e, e0->field); + binop(e, e0, e1); + res = val_new(t_element, e); + return res; +} + + +static val_ptr f_add(darray_ptr arg) { + return f_bin_op(element_add, arg); +} + +static val_ptr f_mul(darray_ptr arg) { + return f_bin_op(element_mul, arg); +} + +static val_ptr f_sub(darray_ptr arg) { + return f_bin_op(element_sub, arg); +} + +static val_ptr f_div(darray_ptr arg) { + return f_bin_op(element_div, arg); +} + +static val_ptr f_inv(darray_ptr arg) { + return f_unary(element_invert, arg); +} + +static val_ptr f_neg(darray_ptr arg) { + return f_unary(element_neg, arg); +} + +static val_ptr f_pow(darray_ptr arg) { + val_ptr res; + res = check_arg(arg, 2, t_element, t_element); + if (res) return res; + val_ptr a0 = arg->item[0]; + val_ptr a1 = arg->item[1]; + element_ptr e0 = a0->data; + element_ptr e1 = a1->data; + element_ptr e = pbc_malloc(sizeof(element_t)); + mpz_t z; + mpz_init(z); + element_to_mpz(z, e1); + element_init(e, e0->field); + element_pow_mpz(e, e0, z); + res = val_new(t_element, e); + mpz_clear(z); + return res; +} + +static pairing_ptr current_pairing; +static val_ptr f_pairing(darray_ptr arg) { + val_ptr res; + if (arg->count != 2) { + printf("expect two arguments\n"); + return newruntimeerror(re_badargcount); + } + val_ptr a0 = arg->item[0]; + val_ptr a1 = arg->item[1]; + if (a0->type != t_element) { + printf("arg 1 not element!\n"); + return newruntimeerror(re_badarg); + } + if (a1->type != t_element) { + printf("arg 2 not element!\n"); + return newruntimeerror(re_badarg); + } + pairing_ptr p; + element_ptr e0 = a0->data; + element_ptr e1 = a1->data; + p = e0->field->pairing; + if (e0->field != p->G1) { + printf("arg 1 not from G1!\n"); + return newruntimeerror(re_badarg); + } + if (e1->field != p->G2) { + printf("arg 2 not from G2!\n"); + return newruntimeerror(re_badarg); + } + element_ptr e = pbc_malloc(sizeof(element_t)); + element_init(e, p->GT); + pairing_apply(e, e0, e1, p); + res = val_new(t_element, e); + return res; +} + +static val_ptr execute_tree(tree_ptr t) { + darray_t arg; + id_ptr id; + fun fn; + int i; + val_ptr res, v; + tree_ptr t1, t2; + + switch (t->type) { + case t_id: + id = t->data; + v = symtab_at(var, id->data); + if (!v) { + return newruntimeerror(re_varnotfound); + } + return val_copy(v); + case t_set: + t1 = t->child->item[0]; + if (t1->type != t_id) { + return newruntimeerror(re_badlvalue); + } + t2 = t->child->item[1]; + v = execute_tree(t2); + if (v->type == t_err) return v; + id = t1->data; + // clear what's there first + if ((res = symtab_at(var, id->data))) { + val_delete(res); + } + symtab_put(var, v, id->data); + v = symtab_at(var, id->data); + return val_copy(v); + case t_function: + id = t->data; + fn = symtab_at(builtin, id->data); + if (!fn) { + return newruntimeerror(re_funnotfound); + } + darray_init(arg); + for (i=0; i<t->child->count; i++) { + v = execute_tree(t->child->item[i]); + if (v->type == t_err) { + darray_forall(arg, (void (*)(void *)) val_delete); + return v; + } + darray_append(arg, v); + } + res = fn(arg); + for (i=0; i<arg->count; i++) { + val_delete(arg->item[i]); + } + darray_clear(arg); + return res; + case t_int: + id = t->data; + char *cp; + mpz_t z; + mpz_init(z); + for (cp = id->data; *cp; cp++) { + mpz_mul_ui(z, z, 10); + mpz_add_ui(z, z, *cp - '0'); + } + element_ptr e = pbc_malloc(sizeof(element_t)); + element_init(e, Z); + element_set_mpz(e, z); + mpz_clear(z); + return val_new(t_element, e); + case t_string: + id = t->data; + return val_new(t_string, pbc_strdup(id->data)); + default: + return newruntimeerror(re_unimplemented); + } +} + +static void parseline(void) { + val_ptr v; + + tree_ptr t; + lex(); + if (tok_type == t_none) return; + t = parsesetexpr(); + if (0) { + print_tree(t); + printf("\n"); + } + if (t) { + v = execute_tree(t); + if (v) { + if (v->type == t_err) { + printf("runtime error (error code = %d)\n", lastruntimeerror); + } else { + if (t->type != t_set) val_print(v); + } + val_delete(v); + } + tree_delete(t); + } else { + printf("parse error (error code = %d)\n", lastparseerror); + } +} + +static char *aparam = +"type a\n" +"q 8780710799663312522437781984754049815806883199414208211028653399266475630880222957078625179422662221423155858769582317459277713367317481324925129998224791\n" +"h 12016012264891146079388821366740534204802954401251311822919615131047207289359704531102844802183906537786776\n" +"r 730750818665451621361119245571504901405976559617\n" +"exp2 159\n" +"exp1 107\n" +"sign1 1\n" +"sign0 1\n"; + +static char *dparam = +"type d\n" +"q 625852803282871856053922297323874661378036491717\n" +"n 625852803282871856053923088432465995634661283063\n" +"h 3\n" +"r 208617601094290618684641029477488665211553761021\n" +"a 581595782028432961150765424293919699975513269268\n" +"b 517921465817243828776542439081147840953753552322\n" +"k 6\n" +"nk 60094290356408407130984161127310078516360031868417968262992864809623507269833854678414046779817844853757026858774966331434198257512457993293271849043664655146443229029069463392046837830267994222789160047337432075266619082657640364986415435746294498140589844832666082434658532589211525696\n" +"hk 1380801711862212484403205699005242141541629761433899149236405232528956996854655261075303661691995273080620762287276051361446528504633283152278831183711301329765591450680250000592437612973269056\n" +"coeff0 472731500571015189154958232321864199355792223347\n" +"coeff1 352243926696145937581894994871017455453604730246\n" +"coeff2 289113341693870057212775990719504267185772707305\n" +"nqr 431211441436589568382088865288592347194866189652\n"; + +static char *eparam = +"type e\n" +"q 7245986106510086080714203333362098431608853335867425877960916928496629182991629664903654100214900946450053872786629995869445693724001299041657434948257845644905153122838458864000479326695430719258600053239930483226650953770354174712511646273516974069245462534034085895319225452125649979474047163305307830001\n" +"r 730750862221594424981965739670091261094297337857\n" +"h 13569343110918781839835249021482970252603216587988030044836106948825516930173270978617489032334001006615524543925753725725046733884363846960470444404747241287743773746682188521738728797153760275116924829183670000\n" +"a 7130970454025799000067946137594446075551569949583815943390108723282396973737794273397246892274981883807989525599540630855644968426794929215599380425269625872763801485968007136000471718335185787206876242871042697778608875139078711621836858237429403052273312335081163896980825048123655535355411494046493419999\n" +"b 7169309004853894693616698536183663527570664411678352588247044791687141043489072737232715961588288238022010974661903752526911876859197052490952065266265699130144252031591491045333807587788600764557450846327338626261289568016170532652061787582791926724597362401398804563093625182790987016728290050466098223333\n" +"exp2 159\n" +"exp1 135\n" +"sign1 1\n" +"sign0 1\n"; + +static char *fparam = +"type f\n" +"q 205523667896953300194896352429254920972540065223\n" +"r 205523667896953300194895899082072403858390252929\n" +"b 40218105156867728698573668525883168222119515413\n" +"beta 115334401956802802075595682801335644058796914268\n" +"alpha0 191079354656274778837764015557338301375963168470\n" +"alpha1 71445317903696340296199556072836940741717506375\n"; + +static char *gparam = +"type g\n" +"q 503189899097385532598615948567975432740967203\n" +"n 503189899097385532598571084778608176410973351\n" +"h 1\n" +"r 503189899097385532598571084778608176410973351\n" +"a 465197998498440909244782433627180757481058321\n" +"b 463074517126110479409374670871346701448503064\n" +"k 10\n" +"nk 1040684643531490707494989587381629956832530311976146077888095795458709511789670022388326295177424065807612879371896982185473788988016190582073591316127396374860265835641044035656044524481121528846249501655527462202999638159773731830375673076317719519977183373353791119388388468745670818193868532404392452816602538968163226713846951514831917487400267590451867746120591750902040267826351982737642689423713163967384383105678367875981348397359466338807\n" +"hk 4110127713690841149713310614420858884651261781185442551927080083178682965171097172366598236129731931693425629387502221804555636704708008882811353539555915064049685663790355716130262332064327767695339422323460458479884756000782939428852120522712008037615051139080628734566850259704397643028017435446110322024094259858170303605703280329322675124728639532674407\n" +"coeff0 67343110967802947677845897216565803152319250\n" +"coeff1 115936772834120270862756636148166314916823221\n" +"coeff2 87387877425076080433559927080662339215696505\n" +"coeff3 433223145899090928132052677121692683015058909\n" +"coeff4 405367866213598664862417230702935310328613596\n" +"nqr 22204504160560785687198080413579021865783099\n"; + +static pairing_t pairing_A, pairing_D, pairing_E, pairing_F, pairing_G; + +static void set_pairing_groups(pairing_ptr p) { + symtab_put(var, val_new(t_field, p->G1), "G1"); + symtab_put(var, val_new(t_field, p->G2), "G2"); + symtab_put(var, val_new(t_field, p->GT), "GT"); + symtab_put(var, val_new(t_field, p->Zr), "Zr"); + symtab_put(var, val_new(t_pairing, p), "current_pairing"); + current_pairing = p; +} + +static val_ptr f_init_pairing(darray_ptr arg) { + val_ptr res; + + res = check_arg(arg, 1, t_pairing); + if (res) return res; + + val_ptr a0 = arg->item[0]; + pairing_ptr p = a0->data; + set_pairing_groups(p); + return NULL; +} + +static val_ptr f_nextprime(darray_ptr arg) { + mpz_t p; + val_ptr res; + + res = check_arg(arg, 1, t_element); + if (res) return res; + val_ptr a0 = arg->item[0]; + element_ptr e0 = a0->data; + if (e0->field != Z) { + printf("arg not integer!\n"); + return newruntimeerror(re_badarg); + } + element_ptr e = pbc_malloc(sizeof(element_t)); + element_init(e, Z); + mpz_init(p); + element_to_mpz(p, e0); + mpz_nextprime(p, p); + element_set_mpz(e, p); + res = val_new(t_element, e); + mpz_clear(p); + return res; +} + +static val_ptr f_brute_force_dlog(darray_ptr arg) { + val_ptr res; + res = check_arg(arg, 2, t_element, t_element); + if (res) return res; + val_ptr a0 = arg->item[0]; + val_ptr a1 = arg->item[1]; + element_ptr e0 = a0->data; + element_ptr e1 = a1->data; + if (e0->field != e1->field) { + printf("arg field mismatch!\n"); + return newruntimeerror(re_badarg); + } + element_ptr e = pbc_malloc(sizeof(element_t)); + element_init(e, Z); + element_dlog_brute_force(e, e0, e1); + res = val_new(t_element, e); + return res; +} +static val_ptr f_pollard_rho(darray_ptr arg) { + val_ptr res; + res = check_arg(arg, 3, t_element, t_element, t_field); + if (res) return res; + val_ptr a0 = arg->item[0]; + val_ptr a1 = arg->item[1]; + val_ptr a2 = arg->item[2]; + element_ptr e0 = a0->data; + element_ptr e1 = a1->data; + if (e0->field != e1->field) { + printf("arg field mismatch!\n"); + return newruntimeerror(re_badarg); + } + field_ptr f = a2->data; + element_ptr e = pbc_malloc(sizeof(element_t)); + element_init(e, f); + element_dlog_pollard_rho(e, e0, e1); + res = val_new(t_element, e); + return res; +} + +static val_ptr f_zz(darray_ptr arg) { + mpz_t p; + val_ptr res; + res = check_arg(arg, 1, t_element); + if (res) return res; + val_ptr a0 = arg->item[0]; + element_ptr e0 = a0->data; + if (e0->field != Z) { + printf("arg not integer!\n"); + return newruntimeerror(re_badarg); + } + field_ptr f = pbc_malloc(sizeof(field_t)); + mpz_init(p); + element_to_mpz(p, e0); + field_init_fp(f, p); + res = val_new(t_field, f); + mpz_clear(p); + return res; +} + +static val_ptr f_gen_A(darray_ptr arg) { + mpz_t rbits, qbits; + pairing_ptr p; + val_ptr res; + res = check_arg(arg, 2, t_element, t_element); + if (res) return res; + val_ptr a0 = arg->item[0]; + val_ptr a1 = arg->item[1]; + element_ptr e0 = a0->data; + if (e0->field != Z) { + printf("arg not integer!\n"); + return newruntimeerror(re_badarg); + } + element_ptr e1 = a1->data; + if (e1->field != Z) { + printf("arg not integer!\n"); + return newruntimeerror(re_badarg); + } + mpz_init(rbits); + mpz_init(qbits); + element_to_mpz(rbits, e0); + element_to_mpz(qbits, e1); + //TODO: check rbits and qbits aren't too big + pbc_param_t param; + pbc_param_init_a_gen(param, mpz_get_ui(rbits), mpz_get_ui(qbits)); + p = pbc_malloc(sizeof(pairing_t)); + pairing_init_pbc_param(p, param); + res = val_new(t_pairing, p); + mpz_clear(rbits); + mpz_clear(qbits); + pbc_param_clear(param); + return res; +} + +static val_ptr f_fromZZ(darray_ptr arg) { + val_ptr res; + res = check_arg(arg, 2, t_element, t_field); + if (res) return res; + val_ptr a0 = arg->item[0]; + val_ptr a1 = arg->item[1]; + element_ptr e = a0->data; + field_ptr f = a1->data; + if (e->field != Z) { + printf("arg not integer!\n"); + return newruntimeerror(re_badarg); + } + element_ptr e1 = pbc_malloc(sizeof(element_t)); + element_init(e1, f); + element_set_mpz(e1, e->data); + res = val_new(t_element, e1); + return res; +} + +static val_ptr f_fromstr(darray_ptr arg) { + val_ptr res; + res = check_arg(arg, 2, t_string, t_field); + if (res) return res; + val_ptr a0 = arg->item[0]; + val_ptr a1 = arg->item[1]; + field_ptr f = a1->data; + element_ptr e1 = pbc_malloc(sizeof(element_t)); + element_init(e1, f); + element_set_str(e1, a0->data, 0); + res = val_new(t_element, e1); + return res; +} + +/* I'll probably never finish this :( +static val_ptr f_index_calculus(darray_ptr arg) { + val_ptr res; + res = check_arg(arg, 2, t_element, t_element); + if (res) return res; + val_ptr a0 = arg->item[0]; + val_ptr a1 = arg->item[1]; + element_ptr e0 = a0->data; + element_ptr e1 = a1->data; + element_ptr e = pbc_malloc(sizeof(element_t)); + mpz_t x, g, h, q1; + + //TODO: check e0, e1 are from an integer mod ring + mpz_init(x); + mpz_init(g); + mpz_init(h); + mpz_init(q1); + + mpz_sub_ui(q1, e0->field->order, 1); + + element_init(e, Z); + element_to_mpz(g, e0); + element_to_mpz(h, e1); + pbc_mpz_index_calculus(x, g, h, q1); + element_set_mpz(e, x); + res = val_new(t_element, e); + mpz_clear(x); + mpz_clear(g); + mpz_clear(h); + mpz_clear(q1); + return res; +} +*/ + +int main(int argc, char **argv) { + for (;;) { + int c = getopt(argc, argv, "e"); + if (c == -1) break; + switch (c) { + case 'e': + option_echo = 1; + break; + default: + fprintf(stderr, "unrecognized option: %c\n", c); + break; + } + } + + symtab_init(var); + symtab_init(builtin); + + pairing_init_set_str(pairing_A, aparam); + pairing_init_set_str(pairing_D, dparam); + pairing_init_set_str(pairing_E, eparam); + pairing_init_set_str(pairing_F, fparam); + pairing_init_set_str(pairing_G, gparam); + symtab_put(var, val_new(t_pairing, pairing_A), "A"); + symtab_put(var, val_new(t_pairing, pairing_D), "D"); + symtab_put(var, val_new(t_pairing, pairing_E), "E"); + symtab_put(var, val_new(t_pairing, pairing_F), "F"); + symtab_put(var, val_new(t_pairing, pairing_G), "G"); + + set_pairing_groups(pairing_A); + + symtab_put(builtin, f_init_pairing, "init_pairing"); + symtab_put(builtin, f_pairing_G1, "get_G1"); + symtab_put(builtin, f_pairing_G2, "get_G2"); + symtab_put(builtin, f_pairing_GT, "get_GT"); + symtab_put(builtin, f_pairing_Zr, "get_Zr"); + symtab_put(builtin, f_random, "random"); + symtab_put(builtin, f_random, "rand"); + symtab_put(builtin, f_random, "rnd"); + symtab_put(builtin, f_order, "order"); + symtab_put(builtin, f_order, "ord"); + symtab_put(builtin, f_neg, "neg"); + symtab_put(builtin, f_sub, "sub"); + symtab_put(builtin, f_add, "add"); + symtab_put(builtin, f_pow, "pow"); + symtab_put(builtin, f_mul, "mul"); + symtab_put(builtin, f_inv, "inv"); + symtab_put(builtin, f_inv, "invert"); + symtab_put(builtin, f_div, "div"); + symtab_put(builtin, f_pairing, "pairing"); + symtab_put(builtin, f_nextprime, "nextprime"); + symtab_put(builtin, f_brute_force_dlog, "element_dlog_brute_force"); + symtab_put(builtin, f_pollard_rho, "element_dlog_pollard_rho"); + //symtab_put(builtin, f_index_calculus, "index_calculus"); + symtab_put(builtin, f_zz, "ZZ"); + symtab_put(builtin, f_gen_A, "gen_A"); + symtab_put(builtin, f_fromZZ, "fromZZ"); + symtab_put(builtin, f_fromstr, "fromstr"); + + field_init_z(Z); + + fprintf(stderr, "pbc\n"); + + for (;;) { + currentline = pbc_getline(NULL); + if (!currentline) break; + if (option_echo) puts(currentline); + lexcp = currentline; + parseline(); + free(currentline); + } + return 0; +} diff --git a/moon-abe/pbc-0.5.14/pbc/pairing_test.pbc b/moon-abe/pbc-0.5.14/pbc/pairing_test.pbc new file mode 100644 index 00000000..c57189f7 --- /dev/null +++ b/moon-abe/pbc-0.5.14/pbc/pairing_test.pbc @@ -0,0 +1,21 @@ +# Tests sample type A pairing. + +g := G1([2382389466570123849673299401984867521337122094157231907755149435707124249269394670242462497382963719723036281844079382411446883273020125104982896098602669, 2152768906589770702756591740710760107878949212304343787392475836859241438597588807103470081101790991563152395601123682809718038151417122294066319979967168]); + +h := G2([5832612417453786541700129157230442590988122495898645678468800815872828277169950107203266157735206975228912899931278160262081308603240860553459187732968543, 5825590786822892934138376868455818413990615826926356662470129700411774690868351658310187202553513693344017463065909279569624651155563430675084173630054336]); + +a := 171583727262251826931173602797951212789946235851; +b := 233634857565210859330459959563397971304462340857; + +CHECK(pairing(g, h) == GT([1352478452661998164151215014828915385601138645645403926287105573769451214277485326392786454433874957123922454604362337349978217917242114505658729401276644, 2809858014072341042857607405424304552357466023841122154308055820747972163307396014445308786731013691659356362568425895483877936945589613445697089590886519])); + +CHECK(g^a == G1([3727290142167731134589933003026410141163353118002821914170365887139605219852868537686435214464927363733592858325260588072422405672197113236445369761687270, 8313413520789037477320458888316489483781506373846006723006557775349684878102042826049292521482530556981023752851151672326421296204733037418468523296005577])); + +CHECK(h^b == G2([302169045606583472168811217560382970305157511680176350745436990853463473855962841196184541109617397027480204774682450915021848512168573082843355648090809, 7428193877404140917518137438384425427600294220905786853638038223349096573857683866658575603565175187399696035468569929483731011292133989973187846752806084])); + +res := GT([5401677742232403160612802517983583823254857216272776607059355607024091426935935872461700304196658606704085604766577186374528948004140797833341187234647180, 4255900207739859478558185000995524505026245539159946661271849714832846423204570340979120001638894488614502770175520505048836617405342161594891740961421000]); + +CHECK(res == pairing(g^a, h^b)); +CHECK(res == pairing(g, h)^(Zr(a)*Zr(b))); +CHECK(res == pairing(g^a, h)^b); +CHECK(res == pairing(g, h^b)^a); diff --git a/moon-abe/pbc-0.5.14/pbc/parser.lex b/moon-abe/pbc-0.5.14/pbc/parser.lex new file mode 100644 index 00000000..1d0b9f23 --- /dev/null +++ b/moon-abe/pbc-0.5.14/pbc/parser.lex @@ -0,0 +1,56 @@ +%{ +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" + +#include "pbc_tree.h" +#define YYSTYPE tree_ptr +#include "parser.tab.h" + +extern int option_easy; + +%} + +%option nounput noinput + +%x COMMENT +%% +\/\* BEGIN(COMMENT); // Open C-style comment. +<COMMENT>\*\/ BEGIN(0); // Close C-style comment. +<COMMENT>. // Within a C-style comment. +<COMMENT>\n // Within a C-style comment. +#.*$ // Comment. +[ \t\r]* // Whitespace. + +define return DEFINE; +[0-9]+ yylval = tree_new_z(yytext); return NUM; +[a-zA-Z_][a-zA-Z0-9_]* yylval = tree_new_id(yytext); return ID; +:= return ASSIGN; +== return EQ; +!= return NE; +\< return LT; +\> return T_GT; +\<= return LE; +\>= return GE; +\+ return PLUS; +- return MINUS; +\/ return DIVIDE; +\* return TIMES; +\^ return POW; +; return TERMINATOR; +\, return COMMA; +\? return QUESTION; +: return COLON; +\( return LPAR; +\) return RPAR; +\[ return LSQU; +\] return RSQU; +\{ return LBRACE; +\} return RBRACE; +\n if (option_easy) return TERMINATOR; += return option_easy ? ASSIGN : UNKNOWN; +. return UNKNOWN; +%% diff --git a/moon-abe/pbc-0.5.14/pbc/parser.y b/moon-abe/pbc-0.5.14/pbc/parser.y new file mode 100644 index 00000000..d51cebcc --- /dev/null +++ b/moon-abe/pbc-0.5.14/pbc/parser.y @@ -0,0 +1,112 @@ +%{ +#include <stdarg.h> +#include <stdio.h> +#include <stdint.h> // for intptr_t +#include <gmp.h> +#include "pbc_utils.h" +#include "pbc_field.h" + +#include "pbc_tree.h" +#define YYSTYPE tree_ptr +void yyerror(const char *s); +int yylex(void); + +#define YY_NO_INPUT +#define YY_NO_UNPUT + +extern int option_easy; +%} + +%error-verbose +%token DEFINE +%token TERMINATOR +%token NUM ID +%token LPAR RPAR LSQU RSQU LBRACE RBRACE COMMA +%right QUESTION COLON +%left EQ NE LT T_GT LE GE +%right ASSIGN +%left PLUS MINUS +%left DIVIDE TIMES +%right UMINUS +%right POW +%token UNKNOWN +%token END 0 "end of file" +%% +input + : // Empty. + | input stmt { tree_eval_stmt($2); } + ; + +stmt + : expr TERMINATOR + | DEFINE ID LPAR parms RPAR LBRACE stmtlist RBRACE { + $$ = tree_new_define($2, $4, $7); + } + ; + +stmtlist + : { $$ = tree_new_empty_stmt_list(); } // Empty. + | stmtlist stmt { tree_append($1, $2); } + ; + +parms + : { $$ = tree_new_empty_parms(); } // Empty. + | parms1 + ; + +parms1 + : ID { $$ = tree_new_empty_parms(); tree_append($$, $1); } + | parms1 COMMA ID { tree_append($1, $3); } + ; + +expr + : multinomial + | ID ASSIGN expr { $$ = tree_new_assign($1, $3); } + | expr QUESTION expr COLON expr { $$ = tree_new_ternary($1, $3, $5); } + | molecule + | molecule LSQU expr RSQU { $$ = tree_new_item($1, $3); } + | expr EQ expr { $$ = tree_new_eq($1, $3); } + | expr NE expr { $$ = tree_new_ne($1, $3); } + | expr LE expr { $$ = tree_new_le($1, $3); } + | expr GE expr { $$ = tree_new_ge($1, $3); } + | expr LT expr { $$ = tree_new_lt($1, $3); } + | expr T_GT expr { $$ = tree_new_gt($1, $3); } + | expr PLUS expr { $$ = tree_new_add($1, $3); } + | expr MINUS expr { $$ = tree_new_sub($1, $3); } + | expr TIMES expr { $$ = tree_new_mul($1, $3); } + | expr DIVIDE expr { $$ = tree_new_div($1, $3); } + | expr POW expr { $$ = tree_new_pow($1, $3); } + | MINUS expr %prec UMINUS { $$ = tree_new_neg($2); } + ; + +// Not quite atoms. +molecule + : molecule LPAR exprlist RPAR { $$ = $3; tree_set_fun($$, $1); } + | LPAR expr RPAR { $$ = $2; } + | ID + ; + +exprlist + : { $$ = tree_new_funcall(); } // Empty. + | nonemptyexprlist + ; + +nonemptyexprlist + : expr { tree_append($$ = tree_new_funcall(), $1); } + | nonemptyexprlist COMMA expr { tree_append($1, $3); } + ; + +multinomial + : NUM + | numlist + ; + +numlist + : LSQU sequence RSQU { $$ = $2; } + ; + +sequence + : expr { $$ = tree_new_list($1); } + | sequence COMMA expr { tree_append($1, $3); } + ; +%% diff --git a/moon-abe/pbc-0.5.14/pbc/pbc.c b/moon-abe/pbc-0.5.14/pbc/pbc.c new file mode 100644 index 00000000..6fb76046 --- /dev/null +++ b/moon-abe/pbc-0.5.14/pbc/pbc.c @@ -0,0 +1,953 @@ +// Pairing-Based Calculator. + +// TODO: Garbage collection. +// TODO: Recursion (stack frames), anonymous functions. + +#include <unistd.h> // For getopt. + +#include "pbc.h" +#include "pbc_fp.h" +#include "pbc_z.h" +#include "pbc_multiz.h" +#include "pbc_poly.h" + +#include "misc/darray.h" +#include "misc/symtab.h" + +#include "pbc_tree.h" + +#include "lex.yy.h" +#include "parser.tab.h" + +int option_easy = 0; +const char *option_prompt; + +char *pbc_getline(const char *prompt); + +void yyerror(char *s) { fprintf(stderr, "%s\n", s); } +int yyparse(void); + +// Symbol table holding built-in functions and variables. +static symtab_t reserved; +// Symbol table holding user-defined variable and function names. +static symtab_t tab; + +static field_t M; +static field_t Z; +static pairing_t pairing; + +struct val_s; +typedef struct val_s *val_ptr; + +struct fun_s; +typedef struct fun_s *fun_ptr; + +// Syntax tree node. +struct tree_s { + // Evaluates this node. + val_ptr (*eval)(tree_ptr); + union { + const char *id; + element_ptr elem; + // Built-in function. + fun_ptr fun; + // Child nodes. + darray_ptr child; + }; +}; + +enum { + ARITY_VARIABLE = -1, +}; + +// The interface of a val_ptr shared amongst many val_ptr objects. +// Analog of C++ class. +struct val_type_s { + // One of element, field, function, error. + char *name; + // Print out current value. + void (*out_str)(FILE *, val_ptr); + // Called when a variable is evaluated, e.g. "foo;". + val_ptr (*eval)(val_ptr); + // Called when a variable is used as a function, e.g. "foo();". + val_ptr (*funcall)(val_ptr, tree_ptr); +}; + +// Functions plus type checking data. +struct fun_s { + const char *name; + val_ptr (*run)(val_ptr[]); + int arity; + const struct val_type_s **sig; +}; +typedef struct fun_s fun_t[1]; + +// When interpreting, each node of the syntax tree recursively evaluates +// its children then returns a val_ptr. +struct val_s { + struct val_type_s *type; + union { + element_ptr elem; + // User-defined function. + tree_ptr def; + // Built-in function. + fun_ptr fun; + field_ptr field; + const char *msg; + }; +}; + +static val_ptr val_new_element(element_ptr e); +static val_ptr val_new_field(field_ptr e); +static val_ptr val_new_error(const char *msg, ...); + +// Evaluates syntax tree node. +static val_ptr tree_eval(tree_ptr t) { + return t->eval(t); +} + +static void v_elem_out(FILE* stream, val_ptr v) { + element_out_str(stream, 0, v->elem); +} + +static val_ptr v_elem_eval(val_ptr v) { + element_ptr e = pbc_malloc(sizeof(*e)); + element_init_same_as(e, v->elem); + element_set(e, v->elem); + return val_new_element(e); +} + +static void v_builtin_out(FILE* stream, val_ptr v) { + // TODO: Print types of arguments. + fprintf(stream, "built-in function %s, arity %d", + v->fun->name, v->fun->arity); +} + +static void v_define_out(FILE* stream, val_ptr v) { + fprintf(stream, "user-defined function %s", + ((tree_ptr) darray_at(v->def->child, 0))->id); +} + +static val_ptr v_builtin(val_ptr v, tree_ptr t) { + fun_ptr fun = v->fun; + int n = fun->arity; + if (1 + n != darray_count(t->child)) { + return val_new_error("%s: wrong number of arguments", fun->name); + } + val_ptr arg[n]; + int i; + for(i = 0; i < n; i++) { + arg[i] = tree_eval(darray_at(t->child, i)); + if (fun->sig[i] && arg[i]->type != fun->sig[i]) { + return val_new_error("%s: argument %d type mismatch", fun->name, i + 1); + } + } + return fun->run(arg); +} + +static void eval_stmt(void *ptr) { + tree_eval(ptr); +} + +static val_ptr v_def_call(val_ptr v, tree_ptr t) { + int i; + const char* name = ((tree_ptr) darray_at(v->def->child, 0))->id; + darray_ptr parm = ((tree_ptr) darray_at(v->def->child, 1))->child; + int n = darray_count(parm); + if (1 + n != darray_count(t->child)) { + return val_new_error("%s: wrong number of arguments", name); + } + for(i = 0; i < n; i++) { + const char *id = ((tree_ptr) darray_at(parm, i))->id; + val_ptr v1 = tree_eval(darray_at(t->child, i)); + // TODO: Stack frames for recursion. + symtab_put(tab, v1, id); + } + // Evaluate function body. + darray_ptr a = ((tree_ptr) darray_at(v->def->child, 2))->child; + darray_forall(a, eval_stmt); + return NULL; +} + +static val_ptr v_field_cast(val_ptr v, tree_ptr t) { + // TODO: Check args, x is an element. + val_ptr x = tree_eval(darray_at(t->child, 0)); + element_ptr e = x->elem; + if (e->field == M) { + if (v->field == M) return x; + element_ptr e2 = element_new(v->field); + if (element_is0(e)) // if 'set0' is not 'set1' in base field of GT, but we hope 'GT(0)' calls 'set1', we may directly call 'element_set0' here + element_set0(e2); + else if (element_is1(e)) // reason is same as above + element_set1(e2); + else + element_set_multiz(e2, e->data); + x->elem = e2; + return x; + } + if (v->field == M) { + // Map to/from integer. TODO: Map to/from multiz instead. + mpz_t z; + mpz_init(z); + element_to_mpz(z, e); + element_clear(e); + element_init(e, v->field); + element_set_mpz(e, z); + mpz_clear(z); + } + return x; +} + +static void v_field_out(FILE* stream, val_ptr v) { + field_out_info(stream, v->field); +} + +static val_ptr v_self(val_ptr v) { + return v; +} + +static void v_err_out(FILE* stream, val_ptr v) { + fprintf(stream, "%s", v->msg); +} + +static val_ptr v_errcall(val_ptr v, tree_ptr t) { + UNUSED_VAR(t); + return v; +} + +static struct val_type_s + // TODO: Replace NULL with get_coeff. + v_elem[1] = {{ "element", v_elem_out, v_elem_eval, NULL }}, + v_field[1] = {{ "field", v_field_out, v_self, v_field_cast }}, + v_fun[1] = {{ "builtin", v_builtin_out, v_self, v_builtin }}, + v_def[1] = {{ "function", v_define_out, v_self, v_def_call }}, + v_error[1] = {{ "error", v_err_out, v_self, v_errcall }}; + +// Function signature constants for type checking. +const struct val_type_s *sig_field[] = { v_field }; +const struct val_type_s *sig_elem[] = { v_elem }; +const struct val_type_s *sig_any[] = { NULL }; +const struct val_type_s *sig_elem_elem[] = { v_elem, v_elem }; +const struct val_type_s *sig_field_elem[] = { v_field, v_elem }; + +static val_ptr val_new_element(element_ptr e) { + val_ptr v = pbc_malloc(sizeof(*v)); + v->type = v_elem; + v->elem = e; + return v; +} + +static val_ptr val_new_field(field_ptr f) { + val_ptr v = pbc_malloc(sizeof(*v)); + v->type = v_field; + v->field = f; + return v; +} + +static val_ptr val_new_error(const char *msg, ...) { + va_list params; + char buf[80]; + + va_start(params, msg); + vsnprintf(buf, 80, msg, params); + va_end(params); + + val_ptr v = pbc_malloc(sizeof(*v)); + v->type = v_error; + v->msg = pbc_strdup(buf); + return v; +} + +static val_ptr val_new_fun(fun_ptr fun) { + val_ptr v = pbc_malloc(sizeof(*v)); + v->type = v_fun; + v->fun = fun; + return v; +} + +static val_ptr fun_bin( + void (*binop)(element_ptr, element_ptr, element_ptr), + val_ptr v[]) { + binop(v[0]->elem, v[0]->elem, v[1]->elem); + return v[0]; +} + +static val_ptr run_add(val_ptr v[]) { return fun_bin(element_add, v); } +static val_ptr run_sub(val_ptr v[]) { return fun_bin(element_sub, v); } +static val_ptr run_mul(val_ptr v[]) { return fun_bin(element_mul, v); } +static val_ptr run_div(val_ptr v[]) { return fun_bin(element_div, v); } +static val_ptr run_pow(val_ptr v[]) { return fun_bin(element_pow_zn, v); } + +static fun_t fun_add = {{ "add", run_add, 2, sig_elem_elem }}; +static fun_t fun_sub = {{ "sub", run_sub, 2, sig_elem_elem }}; +static fun_t fun_mul = {{ "mul", run_mul, 2, sig_elem_elem }}; +static fun_t fun_div = {{ "div", run_div, 2, sig_elem_elem }}; +static fun_t fun_pow = {{ "pow", run_pow, 2, sig_elem_elem }}; + +static val_ptr fun_cmp(val_ptr v[], int (*fun)(int)) { + int i = element_cmp(v[0]->elem, v[1]->elem); + element_ptr e = pbc_malloc(sizeof(*e)); + element_init(e, M); + element_set_si(e, fun(i)); + v[0]->elem = e; + return v[0]; +} + +static int is0(int i) { + return i == 0; +} + +static int isnot0(int i) { + return i != 0; +} + +static int isle(int i) { + return i <= 0; +} + +static int isge(int i) { + return i >= 0; +} + +static int islt(int i) { + return i < 0; +} + +static int isgt(int i) { + return i > 0; +} + +static val_ptr run_eq(val_ptr v[]) { + return fun_cmp(v, is0); +} + +static val_ptr run_ne(val_ptr v[]) { + return fun_cmp(v, isnot0); +} + +static val_ptr run_le(val_ptr v[]) { + return fun_cmp(v, isle); +} + +static val_ptr run_ge(val_ptr v[]) { + return fun_cmp(v, isge); +} +static val_ptr run_lt(val_ptr v[]) { + return fun_cmp(v, islt); +} +static val_ptr run_gt(val_ptr v[]) { + return fun_cmp(v, isgt); +} + +static fun_t fun_eq = {{ "==", run_eq, 2, sig_elem_elem }}; +static fun_t fun_ne = {{ "!=", run_ne, 2, sig_elem_elem }}; +static fun_t fun_le = {{ "<=", run_le, 2, sig_elem_elem }}; +static fun_t fun_ge = {{ ">=", run_ge, 2, sig_elem_elem }}; +static fun_t fun_lt = {{ "<", run_lt, 2, sig_elem_elem }}; +static fun_t fun_gt = {{ ">", run_gt, 2, sig_elem_elem }}; + +static val_ptr eval_elem(tree_ptr t) { + // TODO: Write element_clone(), or at least element_new(). + element_ptr e = pbc_malloc(sizeof(*e)); + element_init_same_as(e, t->elem); + element_set(e, t->elem); + return val_new_element(e); +} + +static val_ptr eval_list(tree_ptr t) { + element_ptr e = NULL; + int n = darray_count(t->child); + int i; + for(i = 0; i < n; i++) { + val_ptr x = tree_eval(darray_at(t->child, i)); + // TODO: Also check x is a multiz. + if (v_error == x->type) { + return x; + } + if (v_elem != x->type) { + return val_new_error("element expected in list"); + } + if (!i) e = multiz_new_list(x->elem); + else multiz_append(e, x->elem); + } + return val_new_element(e); +} + +static val_ptr eval_ternary(tree_ptr t) { + val_ptr x = tree_eval(darray_at(t->child, 0)); + if (v_error == x->type) { + return x; + } + if (x->type != v_elem) { + return val_new_error("element expected in ternary operator"); + } + if (!element_is0(x->elem)) { + return tree_eval(darray_at(t->child, 1)); + } + return tree_eval(darray_at(t->child, 2)); +} + +static val_ptr eval_id(tree_ptr t) { + val_ptr x = symtab_at(reserved, t->id); + if (!x) x = symtab_at(tab, t->id); + if (!x) { + return val_new_error("undefined variable %s", t->id); + } + return x->type->eval(x); +} + +static val_ptr eval_funcall(tree_ptr t) { + val_ptr x = tree_eval(darray_last(t->child)); + return x->type->funcall(x, t); +} + +static val_ptr eval_fun(tree_ptr t) { + return val_new_fun(t->fun); +} + +static val_ptr run_neg(val_ptr v[]) { + element_neg(v[0]->elem, v[0]->elem); + return v[0]; +} +static fun_t fun_neg = {{ "neg", run_neg, 1, sig_elem }}; + +static val_ptr eval_assign(tree_ptr t) { + tree_ptr tid = darray_at(t->child, 0); + val_ptr v = tree_eval(darray_at(t->child, 1)); + if (symtab_at(reserved, tid->id)) { + return val_new_error("%s is reserved", tid->id); + } + symtab_put(tab, v, tid->id); + return v; +} + +static void assign_field(field_ptr f, const char* s) { + symtab_put(tab, val_new_field(f), s); +} + +tree_ptr tree_new(val_ptr (*eval)(tree_ptr)) { + tree_ptr res = pbc_malloc(sizeof(*res)); + res->eval = eval; + return res; +} + +tree_ptr tree_new_z(const char* s) { + element_ptr e = pbc_malloc(sizeof(*e)); + element_init(e, M); + element_set_str(e, s, 0); + tree_ptr t = tree_new(eval_elem); + t->elem = e; + return t; +} + +static val_ptr eval_err(tree_ptr t) { + UNUSED_VAR(t); + pbc_die("BUG: shouldn't reach here!"); +} + +tree_ptr tree_new_empty_stmt_list() { + tree_ptr t = tree_new(eval_err); + t->child = darray_new(); + return t; +} + +tree_ptr tree_new_empty_parms() { + tree_ptr t = tree_new(eval_err); + t->child = darray_new(); + return t; +} + +static val_ptr eval_define(tree_ptr t) { + val_ptr v = pbc_malloc(sizeof(*v)); + v->type = v_def; + v->def = t; + symtab_put(tab, v, ((tree_ptr) darray_at(t->child, 0))->id); + return v; +} + +tree_ptr tree_new_define(tree_ptr id, tree_ptr parm, tree_ptr body) { + tree_ptr t = tree_new(eval_define); + t->child = darray_new(); + darray_append(t->child, id); + darray_append(t->child, parm); + darray_append(t->child, body); + return t; +} + +tree_ptr tree_new_list(tree_ptr first) { + tree_ptr t = tree_new(eval_list); + t->child = darray_new(); + darray_append(t->child, first); + return t; +} + +tree_ptr tree_new_ternary(tree_ptr cond, tree_ptr t1, tree_ptr t2) { + tree_ptr t = tree_new(eval_ternary); + t->child = darray_new(); + darray_append(t->child, cond); + darray_append(t->child, t1); + darray_append(t->child, t2); + return t; +} + +tree_ptr tree_new_id(const char* s) { + tree_ptr t = tree_new(eval_id); + t->id = pbc_strdup(s); + return t; +} + +tree_ptr tree_new_funcall(void) { + tree_ptr t = tree_new(eval_funcall); + t->child = darray_new(); + return t; +} + +static tree_ptr tree_new_fun(fun_ptr fun) { + tree_ptr t = tree_new(eval_fun); + t->fun = fun; + return t; +} + +void tree_set_fun(tree_ptr f, tree_ptr src) { + darray_append(f->child, src); +} + +void tree_append(tree_ptr f, tree_ptr p) { + darray_append(f->child, p); +} + +tree_ptr tree_new_binary(fun_ptr fun, tree_ptr x, tree_ptr y) { + tree_ptr t = tree_new_funcall(); + tree_append(t, x); + tree_append(t, y); + tree_set_fun(t, tree_new_fun(fun)); + return t; +} + +static tree_ptr tree_new_unary(fun_ptr fun, tree_ptr x) { + tree_ptr t = tree_new_funcall(); + tree_append(t, x); + tree_set_fun(t, tree_new_fun(fun)); + return t; +} + +tree_ptr tree_new_neg(tree_ptr t) { + return tree_new_unary(fun_neg, t); +} +tree_ptr tree_new_add(tree_ptr x, tree_ptr y) { + return tree_new_binary(fun_add, x, y); +} +tree_ptr tree_new_sub(tree_ptr x, tree_ptr y) { + return tree_new_binary(fun_sub, x, y); +} +tree_ptr tree_new_mul(tree_ptr x, tree_ptr y) { + return tree_new_binary(fun_mul, x, y); +} +tree_ptr tree_new_div(tree_ptr x, tree_ptr y) { + return tree_new_binary(fun_div, x, y); +} +tree_ptr tree_new_pow(tree_ptr x, tree_ptr y) { + return tree_new_binary(fun_pow, x, y); +} +tree_ptr tree_new_eq(tree_ptr x, tree_ptr y) { + return tree_new_binary(fun_eq, x, y); +} +tree_ptr tree_new_ne(tree_ptr x, tree_ptr y) { + return tree_new_binary(fun_ne, x, y); +} +tree_ptr tree_new_le(tree_ptr x, tree_ptr y) { + return tree_new_binary(fun_le, x, y); +} +tree_ptr tree_new_ge(tree_ptr x, tree_ptr y) { + return tree_new_binary(fun_ge, x, y); +} +tree_ptr tree_new_lt(tree_ptr x, tree_ptr y) { + return tree_new_binary(fun_lt, x, y); +} +tree_ptr tree_new_gt(tree_ptr x, tree_ptr y) { + return tree_new_binary(fun_gt, x, y); +} + +static val_ptr run_item(val_ptr v[]) { + mpz_t z; + mpz_init(z); + element_to_mpz(z, v[1]->elem); + int i = mpz_get_si(z); + mpz_clear(z); + element_ptr a = element_item(v[0]->elem, i); + element_ptr e = pbc_malloc(sizeof(*e)); + element_init_same_as(e, a); + element_set(e, a); + return val_new_element(e); +} +static fun_t fun_item = {{ "item", run_item, 2, sig_elem_elem }}; +tree_ptr tree_new_item(tree_ptr x, tree_ptr y) { + return tree_new_binary(fun_item, x, y); +} + +tree_ptr tree_new_assign(tree_ptr l, tree_ptr r) { + // TODO: Check l's type. + tree_ptr t = tree_new(eval_assign); + t->child = darray_new(); + darray_append(t->child, l); + darray_append(t->child, r); + return t; +} + +// Evaluate statement. +void tree_eval_stmt(tree_ptr stmt) { + val_ptr v = tree_eval(stmt); + if (v && v_error == v->type) { + v->type->out_str(stdout, v); + putchar('\n'); + } else if (stmt->eval != eval_assign && v) { + v->type->out_str(stdout, v); + putchar('\n'); + } +} + +static val_ptr run_nextprime(val_ptr v[]) { + element_ptr e = v[0]->elem; + mpz_t z; + mpz_init(z); + element_to_mpz(z, e); + mpz_nextprime(z, z); + element_set_mpz(e, z); + return v[0]; +} +static fun_t fun_nextprime = {{ "nextprime", run_nextprime, 1, sig_elem }}; + +static val_ptr run_order(val_ptr v[]) { + field_ptr f = v[0]->field; + element_ptr e = pbc_malloc(sizeof(*e)); + element_init(e, M); + element_set_mpz(e, f->order); + return val_new_element(e); +} +static fun_t fun_ord = {{ "ord", run_order, 1, sig_field }}; +static fun_t fun_order = {{ "order", run_order, 1, sig_field }}; + +static val_ptr run_random(val_ptr v[]) { + element_ptr e = pbc_malloc(sizeof(*e)); + element_init(e, v[0]->field); + element_random(e); + return val_new_element(e); +} +static fun_t fun_rnd = {{ "rnd", run_random, 1, sig_field }}; +static fun_t fun_random = {{ "random", run_random, 1, sig_field }}; + +static val_ptr run_sqrt(val_ptr v[]) { + // TODO: Check v[0] is square. + element_sqrt(v[0]->elem, v[0]->elem); + return v[0]; +} +static fun_t fun_sqrt = {{ "sqrt", run_sqrt, 1, sig_elem }}; + +static val_ptr run_invert(val_ptr v[]) { + // TODO: Check v[0] is invertible. + element_invert(v[0]->elem, v[0]->elem); + return v[0]; +} +static fun_t fun_inv = {{ "inv", run_invert, 1, sig_elem }}; + +static val_ptr run_type(val_ptr v[]) { + puts(v[0]->type->name); + return v[0]; +} +static fun_t fun_type = {{ "type", run_type, 1, sig_any }}; + +static val_ptr run_pairing(val_ptr v[]) { + element_ptr x = v[0]->elem; + element_ptr e = element_new(x->field->pairing->GT); + element_pairing(e, x, v[1]->elem); + return val_new_element(e); +} +static fun_t fun_pairing = {{ "pairing", run_pairing, 2, sig_elem_elem }}; + +static val_ptr run_zmod(val_ptr v[]) { + element_ptr e = v[0]->elem; + mpz_t z; + mpz_init(z); + element_to_mpz(z, e); + field_ptr f = pbc_malloc(sizeof(*f)); + field_init_fp(f, z); + mpz_clear(z); + return val_new_field(f); +} +static fun_t fun_zmod = {{ "zmod", run_zmod, 1, sig_elem }}; + +static val_ptr run_poly(val_ptr v[]) { + field_ptr f = pbc_malloc(sizeof(*f)); + field_init_poly(f, v[0]->field); + return val_new_field(f); +} +static fun_t fun_poly = {{ "poly", run_poly, 1, sig_field }}; + +static val_ptr run_polymod(val_ptr v[]) { + // TODO: Check v[0] is a poly. + field_ptr f = pbc_malloc(sizeof(*f)); + field_init_polymod(f, v[0]->elem); + return val_new_field(f); +} +static fun_t fun_polymod = {{ "polymod", run_polymod, 1, sig_elem }}; + +static val_ptr run_extend(val_ptr v[]) { + // TODO: Check v[1] is multiz poly. + field_ptr fx = pbc_malloc(sizeof(*fx)); + field_init_poly(fx, v[0]->field); + element_ptr poly = element_new(fx); + element_set_multiz(poly, v[1]->elem->data); + field_ptr f = pbc_malloc(sizeof(*f)); + field_init_polymod(f, poly); + element_free(poly); + return val_new_field(f); +} +static fun_t fun_extend = {{ "extend", run_extend, 1, sig_field_elem }}; + +static void init_pairing(const char *s) { + pairing_init_set_str(pairing, s); + assign_field(pairing->G1, "G1"); + assign_field(pairing->G2, "G2"); + assign_field(pairing->GT, "GT"); + assign_field(pairing->Zr, "Zr"); +} + +static val_ptr run_exit(val_ptr v[]) { + mpz_t z; + mpz_init(z); + element_to_mpz(z, v[0]->elem); + exit(mpz_get_si(z)); +} +static fun_t fun_exit = {{ "exit", run_exit, 1, sig_elem }}; + +static val_ptr run_CHECK(val_ptr v[]) { + if (element_is0(v[0]->elem)) { + pbc_die("CHECK failed"); + } + return v[0]; +} +static fun_t fun_CHECK = {{ "CHECK", run_CHECK, 1, sig_elem }}; + +static char *aparam = +"type a\n" +"q 8780710799663312522437781984754049815806883199414208211028653399266475630880222957078625179422662221423155858769582317459277713367317481324925129998224791\n" +"h 12016012264891146079388821366740534204802954401251311822919615131047207289359704531102844802183906537786776\n" +"r 730750818665451621361119245571504901405976559617\n" +"exp2 159\n" +"exp1 107\n" +"sign1 1\n" +"sign0 1\n"; + +static char *dparam = +"type d\n" +"q 625852803282871856053922297323874661378036491717\n" +"n 625852803282871856053923088432465995634661283063\n" +"h 3\n" +"r 208617601094290618684641029477488665211553761021\n" +"a 581595782028432961150765424293919699975513269268\n" +"b 517921465817243828776542439081147840953753552322\n" +"k 6\n" +"nk 60094290356408407130984161127310078516360031868417968262992864809623507269833854678414046779817844853757026858774966331434198257512457993293271849043664655146443229029069463392046837830267994222789160047337432075266619082657640364986415435746294498140589844832666082434658532589211525696\n" +"hk 1380801711862212484403205699005242141541629761433899149236405232528956996854655261075303661691995273080620762287276051361446528504633283152278831183711301329765591450680250000592437612973269056\n" +"coeff0 472731500571015189154958232321864199355792223347\n" +"coeff1 352243926696145937581894994871017455453604730246\n" +"coeff2 289113341693870057212775990719504267185772707305\n" +"nqr 431211441436589568382088865288592347194866189652\n"; + +static char *eparam = +"type e\n" +"q 7245986106510086080714203333362098431608853335867425877960916928496629182991629664903654100214900946450053872786629995869445693724001299041657434948257845644905153122838458864000479326695430719258600053239930483226650953770354174712511646273516974069245462534034085895319225452125649979474047163305307830001\n" +"r 730750862221594424981965739670091261094297337857\n" +"h 13569343110918781839835249021482970252603216587988030044836106948825516930173270978617489032334001006615524543925753725725046733884363846960470444404747241287743773746682188521738728797153760275116924829183670000\n" +"a 7130970454025799000067946137594446075551569949583815943390108723282396973737794273397246892274981883807989525599540630855644968426794929215599380425269625872763801485968007136000471718335185787206876242871042697778608875139078711621836858237429403052273312335081163896980825048123655535355411494046493419999\n" +"b 7169309004853894693616698536183663527570664411678352588247044791687141043489072737232715961588288238022010974661903752526911876859197052490952065266265699130144252031591491045333807587788600764557450846327338626261289568016170532652061787582791926724597362401398804563093625182790987016728290050466098223333\n" +"exp2 159\n" +"exp1 135\n" +"sign1 1\n" +"sign0 1\n"; + +static char *fparam = +"type f\n" +"q 205523667896953300194896352429254920972540065223\n" +"r 205523667896953300194895899082072403858390252929\n" +"b 40218105156867728698573668525883168222119515413\n" +"beta 115334401956802802075595682801335644058796914268\n" +"alpha0 191079354656274778837764015557338301375963168470\n" +"alpha1 71445317903696340296199556072836940741717506375\n"; + +static char *gparam = +"type g\n" +"q 503189899097385532598615948567975432740967203\n" +"n 503189899097385532598571084778608176410973351\n" +"h 1\n" +"r 503189899097385532598571084778608176410973351\n" +"a 465197998498440909244782433627180757481058321\n" +"b 463074517126110479409374670871346701448503064\n" +"k 10\n" +"nk 1040684643531490707494989587381629956832530311976146077888095795458709511789670022388326295177424065807612879371896982185473788988016190582073591316127396374860265835641044035656044524481121528846249501655527462202999638159773731830375673076317719519977183373353791119388388468745670818193868532404392452816602538968163226713846951514831917487400267590451867746120591750902040267826351982737642689423713163967384383105678367875981348397359466338807\n" +"hk 4110127713690841149713310614420858884651261781185442551927080083178682965171097172366598236129731931693425629387502221804555636704708008882811353539555915064049685663790355716130262332064327767695339422323460458479884756000782939428852120522712008037615051139080628734566850259704397643028017435446110322024094259858170303605703280329322675124728639532674407\n" +"coeff0 67343110967802947677845897216565803152319250\n" +"coeff1 115936772834120270862756636148166314916823221\n" +"coeff2 87387877425076080433559927080662339215696505\n" +"coeff3 433223145899090928132052677121692683015058909\n" +"coeff4 405367866213598664862417230702935310328613596\n" +"nqr 22204504160560785687198080413579021865783099\n"; + +static char *iparam = +"type i\n" +"m 97\n" +"t 12\n" +"n 2726865189058261010774960798134976187171462721\n" +"n2 7\n"; + +static val_ptr run_init_pairing_a(val_ptr v[]) { + UNUSED_VAR(v); + init_pairing(aparam); + return NULL; +} +static fun_t fun_init_pairing_a = {{ + "init_pairing_a", run_init_pairing_a, 0, NULL + }}; + +static val_ptr run_init_pairing_d(val_ptr v[]) { + UNUSED_VAR(v); + init_pairing(dparam); + return NULL; +} +static fun_t fun_init_pairing_d = {{ + "init_pairing_d", run_init_pairing_d, 0, NULL + }}; + +static val_ptr run_init_pairing_e(val_ptr v[]) { + UNUSED_VAR(v); + init_pairing(eparam); + return NULL; +} +static fun_t fun_init_pairing_e = {{ + "init_pairing_e", run_init_pairing_e, 0, NULL + }}; + +static val_ptr run_init_pairing_f(val_ptr v[]) { + UNUSED_VAR(v); + init_pairing(fparam); + return NULL; +} +static fun_t fun_init_pairing_f = {{ + "init_pairing_f", run_init_pairing_f, 0, NULL + }}; + +static val_ptr run_init_pairing_g(val_ptr v[]) { + UNUSED_VAR(v); + init_pairing(gparam); + return NULL; +} +static fun_t fun_init_pairing_g = {{ + "init_pairing_g", run_init_pairing_g, 0, NULL + }}; + +static val_ptr run_init_pairing_i(val_ptr v[]) { + UNUSED_VAR(v); + init_pairing(iparam); + return NULL; +} +static fun_t fun_init_pairing_i = {{ + "init_pairing_i", run_init_pairing_i, 0, NULL + }}; + +static void builtin(fun_ptr fun) { + symtab_put(reserved, val_new_fun(fun), fun->name); +} + +int end_of_input; + +int yywrap_return1(void) { return 1; } + +int yywrap_readline(void) { + static char *currentline; + static YY_BUFFER_STATE st; + yy_delete_buffer(st); + free(currentline); + currentline = pbc_getline(option_prompt); + if (!currentline) { + end_of_input = 1; + return 1; + } + int n = strlen(currentline); + currentline = realloc(currentline, n + 2); + currentline[n] = '\n'; + currentline[n + 1] = '\0'; + st = yy_scan_string(currentline); + //if (option_echo) puts(currentline); + return 0; +} + +static int (*yywrapfun)(void); +int yywrap(void) { + return yywrapfun(); +} + +int main(int argc, char **argv) { + for (;;) { + int c = getopt(argc, argv, "y"); + if (c == -1) break; + switch (c) { + case 'y': + option_easy = 1; + option_prompt = "> "; + break; + default: + fprintf(stderr, "unrecognized option: %c\n", c); + break; + } + } + + field_init_z(Z); + field_init_multiz(M); + symtab_init(tab); + + builtin(fun_rnd); + builtin(fun_random); + builtin(fun_ord); + builtin(fun_order); + builtin(fun_nextprime); + builtin(fun_sqrt); + builtin(fun_inv); + builtin(fun_type); + builtin(fun_pairing); + builtin(fun_zmod); + builtin(fun_poly); + builtin(fun_polymod); + builtin(fun_extend); + builtin(fun_exit); + builtin(fun_CHECK); + builtin(fun_init_pairing_a); + builtin(fun_init_pairing_d); + builtin(fun_init_pairing_e); + builtin(fun_init_pairing_f); + builtin(fun_init_pairing_g); + builtin(fun_init_pairing_i); + run_init_pairing_a(NULL); + symtab_put(reserved, val_new_field(M), "M"); + symtab_put(reserved, val_new_field(Z), "Z"); + + if (argc > optind) { + FILE *fp = fopen(argv[optind], "r"); + if (!fp) pbc_die("fopen failed on %s", argv[optind]); + YY_BUFFER_STATE st = yy_create_buffer(fp, YY_BUF_SIZE); + yy_switch_to_buffer(st); + yywrapfun = yywrap_return1; + yyparse(); + yy_delete_buffer(st); + } else { + yywrapfun = yywrap_readline; + yywrap(); + while (!end_of_input) { + if (2 == yyparse()) pbc_die("parser out of memory"); + } + putchar('\n'); + } + + symtab_clear(tab); + field_clear(M); + return 0; +} diff --git a/moon-abe/pbc-0.5.14/pbc/pbc_getline.c b/moon-abe/pbc-0.5.14/pbc/pbc_getline.c new file mode 100644 index 00000000..dc44cc40 --- /dev/null +++ b/moon-abe/pbc-0.5.14/pbc/pbc_getline.c @@ -0,0 +1,17 @@ +#include <stdio.h> +#include <string.h> + +#include "pbc_memory.h" + +char *pbc_getline(const char *prompt) { + char s[1024]; + if (prompt) fputs(prompt, stdout); + if (!fgets(s, 1024, stdin)) return NULL; + if (feof(stdin)) return NULL; + /* use strdup rather than pbc_strdup. because + * 1. readline version of this function uses malloc. + * 2. pbc_malloc called by pbc_strdup may differ from malloc. + * here we keep consistency. + */ + return strdup(s); +} diff --git a/moon-abe/pbc-0.5.14/pbc/pbc_getline.readline.c b/moon-abe/pbc-0.5.14/pbc/pbc_getline.readline.c new file mode 100644 index 00000000..8d5e8f5a --- /dev/null +++ b/moon-abe/pbc-0.5.14/pbc/pbc_getline.readline.c @@ -0,0 +1,10 @@ +#include <stdio.h> +#include <readline/readline.h> +#include <readline/history.h> + +char *pbc_getline(const char *prompt) +{ + char *line = readline(prompt); + if (line && *line) add_history(line); + return line; +} diff --git a/moon-abe/pbc-0.5.14/pbc/pbc_tree.h b/moon-abe/pbc-0.5.14/pbc/pbc_tree.h new file mode 100644 index 00000000..2526ab61 --- /dev/null +++ b/moon-abe/pbc-0.5.14/pbc/pbc_tree.h @@ -0,0 +1,30 @@ +// Requires: +// * field.h +struct tree_s; +typedef struct tree_s *tree_ptr; +tree_ptr tree_new_z(const char* s); +tree_ptr tree_new_empty_stmt_list(void); +tree_ptr tree_new_empty_parms(void); +tree_ptr tree_new_define(tree_ptr id, tree_ptr parm, tree_ptr body); +tree_ptr tree_new_list(tree_ptr t); +tree_ptr tree_new_id(const char* s); +tree_ptr tree_new_assign(tree_ptr l, tree_ptr r); +tree_ptr tree_new_funcall(void); +void tree_append(tree_ptr f, tree_ptr p); +void tree_set_fun(tree_ptr dst, tree_ptr src); +void tree_eval_stmt(tree_ptr t); + +tree_ptr tree_new_neg(tree_ptr t); +tree_ptr tree_new_add(tree_ptr x, tree_ptr y); +tree_ptr tree_new_sub(tree_ptr x, tree_ptr y); +tree_ptr tree_new_mul(tree_ptr x, tree_ptr y); +tree_ptr tree_new_div(tree_ptr x, tree_ptr y); +tree_ptr tree_new_pow(tree_ptr x, tree_ptr y); +tree_ptr tree_new_eq(tree_ptr x, tree_ptr y); +tree_ptr tree_new_ne(tree_ptr x, tree_ptr y); +tree_ptr tree_new_le(tree_ptr x, tree_ptr y); +tree_ptr tree_new_ge(tree_ptr x, tree_ptr y); +tree_ptr tree_new_lt(tree_ptr x, tree_ptr y); +tree_ptr tree_new_gt(tree_ptr x, tree_ptr y); +tree_ptr tree_new_ternary(tree_ptr cond, tree_ptr t1, tree_ptr t2); +tree_ptr tree_new_item(tree_ptr x, tree_ptr y); diff --git a/moon-abe/pbc-0.5.14/release b/moon-abe/pbc-0.5.14/release new file mode 100644 index 00000000..3c56f6b7 --- /dev/null +++ b/moon-abe/pbc-0.5.14/release @@ -0,0 +1,96 @@ +#!/bin/bash +# perform sanity checks, make packages +VER=`grep AC_INIT configure.ac | sed 's/.*\[\([0-9]*\.[0-9]*\.[0-9]*\)\].*/\1/'` +echo Preparing new release: pbc-$VER +GREPVER=${VER//\./\\.} +if [[ $1 == "test" ]]; then + echo test run + TESTRUN=1 +fi +if [[ ! -z $(git diff) ]]; then + echo Uncommitted changes detected. Commit them first. + exit 1 +fi +git log > ChangeLog +cat ChangeLog | head -20 | grep pbc-$GREPVER > /dev/null || { + echo git log does not mention release + if [[ $TESTRUN ]]; then + echo test run: continuing anyway... + else + exit 1 + fi +} +TMPDIR=`mktemp -d` || { + echo Error creating temp directory + exit 1 +} +PBCDIR=$TMPDIR/pbc-$VER +echo Running setup... +git archive --format=tar --prefix=pbc-$VER/ HEAD | tar xvC $TMPDIR +HERE=`pwd` +make -f simple.make pbc/parser.tab.c pbc/lex.yy.c +cp pbc/parser.tab.[ch] pbc/lex.yy.[ch] $PBCDIR/pbc +cp ChangeLog $PBCDIR +cd $PBCDIR +grep $GREPVER NEWS > /dev/null || { + echo NEWS does not mention release + if [[ $TESTRUN ]]; then + echo test run: continuing anyway... + else + cd $HERE + rm -rf $TMPDIR + exit 1 + fi +} +grep $GREPVER doc/preface.txt > /dev/null || { + echo Error: cannot find $GREPVER in doc/preface.txt. + if [[ $TESTRUN ]]; then + echo test run: continuing anyway... + else + cd $HERE + rm -rf $TMPDIR + exit 1 + fi +} +./setup || { + echo ./setup error + rm -rf $TMPDIR + exit 1 +} +cd $TMPDIR +echo Creating tarball... +rm -rf $PBCDIR/autom4te.cache +if [[ $TESTRUN ]]; then + echo test run: not building tarball... +else + tar cvfz $HERE/pbc-$VER.tar.gz pbc-$VER +fi +cd $PBCDIR +./configure || { + echo ./configure error + rm -rf $TMPDIR + exit 1 +} +echo Testing make... +make || { + echo make error + rm -rf $TMPDIR + exit 1 +} +make clean +echo Cross compiling with simple.make... +PLATFORM=win32 colormake -f simple.make || { + echo mingw cross compile error + rm -rf $TMPDIR + exit 1 +} +if [[ $TESTRUN ]]; then + echo test run: not building zip... +else + mkdir pbc-$VER + mv out/* param/* pbc-$VER + cp benchmark/REPORT.BAT pbc-$VER + zip -r $HERE/pbc-$VER-win32-bin.zip pbc-$VER +fi +rm -rf $TMPDIR +echo 'Now run ./publish!' diff --git a/moon-abe/pbc-0.5.14/setup b/moon-abe/pbc-0.5.14/setup new file mode 100644 index 00000000..310b05f5 --- /dev/null +++ b/moon-abe/pbc-0.5.14/setup @@ -0,0 +1,21 @@ +#!/bin/bash -ex + +# pbc lexer and parser appears before configure script +[ x`which flex` == x ] && echo 'need flex' && exit 1 +[ x`which bison` == x ] && echo 'need bison' && exit 1 +if [ x`which libtoolize` != x ]; then + LT=libtoolize +elif [ x`which glibtoolize` != x ]; then + LT=glibtoolize +else + exit 1 +fi +$LT --force --copy +aclocal +autoheader +automake --add-missing --copy --gnu +autoconf + +if test -f config.status; then + sh config.status +fi diff --git a/moon-abe/pbc-0.5.14/simple.make b/moon-abe/pbc-0.5.14/simple.make new file mode 100644 index 00000000..988c231a --- /dev/null +++ b/moon-abe/pbc-0.5.14/simple.make @@ -0,0 +1,396 @@ +# I use this Makefile rather than the autotools for simplicity and speed. +# Of course, it is less portable. Much of it is due to Hovav Shacham. + +.PHONY: target binaries test clean depend + +target: out libpbc.a binaries + +CC := gcc +RANLIB := ranlib +warnflags := -Wall -W -Wfloat-equal -Wendif-labels -Wshadow \ + -Wpointer-arith -Wcast-align -Wstrict-prototypes \ + -Wredundant-decls #-std=c99 -pedantic +CPPFLAGS := -Iinclude -I. +optflags := -O3 -pipe -ffast-math -fomit-frame-pointer +LDLIBS := -lgmp -lm +CFLAGS := $(optflags) $(warnflags) + +ifeq ($(PLATFORM),win32) + nonlinux := .win32 + exe_suffix := .exe + CC := i586-mingw32msvc-gcc + AR := i586-mingw32msvc-ar + RANLIB := i586-mingw32msvc-ranlib + CPPFLAGS := $(CPPFLAGS) -I/home/blynn/cross/gmp/include + LDFLAGS := -L/home/blynn/cross/gmp/lib + pbc_getline_objs := pbc/pbc_getline.o +else + # tcmalloc is faster than normal malloc. + LDLIBS := $(LDLIBS) -ltcmalloc + pbc_getline_objs := pbc/pbc_getline.readline.o + pbc_pbc_libs := -lreadline +endif + +libpbc_srcs := \ + $(addsuffix .c,$(addprefix arith/, \ + field fp montfp naivefp fastfp fasterfp multiz z fieldquadratic poly \ + ternary_extension_field random dlog)) \ + $(addsuffix .c,$(addprefix ecc/, \ + curve singular pairing param \ + a_param d_param e_param f_param g_param eta_T_3 \ + hilbert mnt mpc)) \ + $(addsuffix .c,$(addprefix misc/, \ + utils \ + darray symtab \ + extend_printf memory)) \ + $(addsuffix $(nonlinux).c,misc/get_time arith/init_random) + +libpbc_objs := $(libpbc_srcs:.c=.o) + +bin_srcs := \ + $(addsuffix .c,$(addprefix example/, \ + bls hess joux paterson yuanli zhangkim zss)) \ + $(addsuffix .c,$(addprefix gen/, \ + gena1param genaparam gendparam geneparam genfparam gengparam \ + hilbertpoly listmnt listfreeman)) \ + benchmark/benchmark.c benchmark/timersa.c benchmark/ellnet.c \ + benchmark/multipairing.c + +define demo_tmpl + examples += out/$(basename $(notdir $(1)))$(exe_suffix) + out/$(basename $(notdir $(1)))$(exe_suffix) : $(1) libpbc.a ; \ + $(CC) -o $$@ $(LDFLAGS) $$^ $(LOADLIBES) $(LDLIBS) +endef + +$(foreach x,$(bin_srcs:.c=.o),$(eval $(call demo_tmpl,$(x)))) + +pbc/parser.tab.c pbc/parser.tab.h : pbc/parser.y + bison -d -b pbc/parser $^ + +pbc/parser.tab.o : pbc/parser.tab.c pbc/parser.tab.h + +pbc/lex.yy.c : pbc/parser.lex + flex -o $@ --header-file=pbc/lex.yy.h $^ + +pbc_objs := pbc/pbc.o $(pbc_getline_objs) pbc/parser.tab.o pbc/lex.yy.o libpbc.a + +pbc_bin := out/pbc$(exe_suffix) + +$(pbc_bin) : $(pbc_objs) libpbc.a + $(CC) -o $@ $(LDFLAGS) $^ $(LOADLIBES) $(LDLIBS) $(pbc_pbc_libs) + +binaries : $(examples) $(pbc_bin) + +test_srcs := \ + $(addsuffix .c,$(addprefix guru/, \ + fp_test quadratic_test poly_test exp_test prodpairing_test)) + +tests := $(test_srcs:.c=) + +# Object files needed to test Fp. +fp_objs := $(addsuffix .o, \ + arith/field arith/fp arith/naivefp arith/fastfp arith/fasterfp arith/montfp arith/random arith/init_random misc/extend_printf misc/memory misc/utils \ + arith/multiz misc/darray ) + +guru/prodpairing_test: guru/prodpairing_test.o libpbc.a +guru/exp_test: guru/exp_test.o libpbc.a +guru/fp_test: guru/fp_test.o $(fp_objs) +guru/poly_test: guru/poly_test.o $(fp_objs) arith/poly.o misc/darray.o +guru/quadratic_test: guru/quadratic_test.o $(fp_objs) arith/fieldquadratic.o + +test : $(tests) + +out: ; -mkdir out + +srcs := $(libpbc_srcs) $(bin_srcs) $(test_srcs) +objs := $(srcs:.c=.o) $(pbc_objs) + +clean: ; -rm -r out $(objs) libpbc.a + +ifeq ($(PLATFORM),win32) + +# For Windows. +out/pbc.def out/pbc.lib out/pbc.dll: $(libpbc_objs) + $(CC) -shared -o out/pbc.dll $^ -Wl,--output-def,out/pbc.def,--out-implib,out/pbc.lib $(LDFLAGS) $(LDLIBS) + +libpbc.a : out/pbc.lib + cp $^ $@ + +else + +# File dependencies for library-making. +# See GNU Make manual, sect. 11.2. +libpbc.a: libpbc.a($(libpbc_objs)) + $(RANLIB) $@ +endif + +depend: + makedepend -fsimple.make -Iinclude -Y -- $(CFLAGS) -- $(srcs) 2> /dev/null + +# DO NOT DELETE + +arith/field.o: include/pbc_utils.h include/pbc_field.h include/pbc_multiz.h +arith/field.o: include/pbc_memory.h +arith/fp.o: include/pbc_utils.h include/pbc_field.h include/pbc_fp.h +arith/montfp.o: include/pbc_utils.h include/pbc_field.h include/pbc_random.h +arith/montfp.o: include/pbc_fp.h include/pbc_memory.h +arith/naivefp.o: include/pbc_utils.h include/pbc_field.h include/pbc_random.h +arith/naivefp.o: include/pbc_fp.h include/pbc_memory.h +arith/fastfp.o: include/pbc_utils.h include/pbc_field.h include/pbc_random.h +arith/fastfp.o: include/pbc_fp.h include/pbc_memory.h +arith/fasterfp.o: include/pbc_utils.h include/pbc_field.h +arith/fasterfp.o: include/pbc_random.h include/pbc_fp.h include/pbc_memory.h +arith/multiz.o: include/pbc_utils.h include/pbc_field.h include/pbc_multiz.h +arith/multiz.o: include/pbc_random.h include/pbc_fp.h include/pbc_memory.h +arith/multiz.o: misc/darray.h +arith/z.o: include/pbc_utils.h include/pbc_field.h include/pbc_z.h +arith/z.o: include/pbc_random.h include/pbc_fp.h include/pbc_memory.h +arith/fieldquadratic.o: include/pbc_utils.h include/pbc_field.h +arith/fieldquadratic.o: include/pbc_multiz.h include/pbc_fieldquadratic.h +arith/fieldquadratic.o: include/pbc_memory.h +arith/poly.o: include/pbc_utils.h include/pbc_field.h include/pbc_multiz.h +arith/poly.o: include/pbc_poly.h include/pbc_memory.h misc/darray.h +arith/ternary_extension_field.o: include/pbc_utils.h include/pbc_memory.h +arith/ternary_extension_field.o: include/pbc_field.h +arith/random.o: include/pbc_random.h include/pbc_utils.h include/pbc_memory.h +arith/dlog.o: include/pbc_utils.h include/pbc_field.h include/pbc_memory.h +arith/dlog.o: misc/darray.h +ecc/curve.o: include/pbc_utils.h include/pbc_field.h include/pbc_multiz.h +ecc/curve.o: include/pbc_poly.h include/pbc_curve.h include/pbc_memory.h +ecc/curve.o: include/pbc_random.h misc/darray.h +ecc/singular.o: include/pbc_utils.h include/pbc_field.h include/pbc_curve.h +ecc/singular.o: include/pbc_param.h include/pbc_pairing.h include/pbc_fp.h +ecc/singular.o: include/pbc_memory.h +ecc/pairing.o: 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include/pbc.h include/pbc_utils.h include/pbc_field.h +guru/quadratic_test.o: include/pbc_param.h include/pbc_pairing.h +guru/quadratic_test.o: include/pbc_curve.h include/pbc_mnt.h +guru/quadratic_test.o: include/pbc_a1_param.h include/pbc_a_param.h +guru/quadratic_test.o: include/pbc_d_param.h include/pbc_e_param.h +guru/quadratic_test.o: include/pbc_f_param.h include/pbc_g_param.h +guru/quadratic_test.o: include/pbc_i_param.h include/pbc_random.h +guru/quadratic_test.o: include/pbc_memory.h include/pbc_fp.h +guru/quadratic_test.o: include/pbc_fieldquadratic.h include/pbc_test.h +guru/poly_test.o: include/pbc.h include/pbc_utils.h include/pbc_field.h +guru/poly_test.o: include/pbc_param.h include/pbc_pairing.h +guru/poly_test.o: include/pbc_curve.h include/pbc_mnt.h +guru/poly_test.o: include/pbc_a1_param.h include/pbc_a_param.h +guru/poly_test.o: include/pbc_d_param.h include/pbc_e_param.h +guru/poly_test.o: include/pbc_f_param.h include/pbc_g_param.h +guru/poly_test.o: include/pbc_i_param.h include/pbc_random.h +guru/poly_test.o: include/pbc_memory.h include/pbc_fp.h include/pbc_poly.h +guru/poly_test.o: include/pbc_test.h misc/darray.h +guru/exp_test.o: include/pbc.h include/pbc_utils.h include/pbc_field.h +guru/exp_test.o: include/pbc_param.h include/pbc_pairing.h +guru/exp_test.o: include/pbc_curve.h include/pbc_mnt.h include/pbc_a1_param.h +guru/exp_test.o: include/pbc_a_param.h include/pbc_d_param.h +guru/exp_test.o: include/pbc_e_param.h include/pbc_f_param.h +guru/exp_test.o: include/pbc_g_param.h include/pbc_i_param.h +guru/exp_test.o: include/pbc_random.h include/pbc_memory.h include/pbc_test.h +guru/prodpairing_test.o: include/pbc.h include/pbc_utils.h +guru/prodpairing_test.o: include/pbc_field.h include/pbc_param.h +guru/prodpairing_test.o: include/pbc_pairing.h include/pbc_curve.h +guru/prodpairing_test.o: include/pbc_mnt.h include/pbc_a1_param.h +guru/prodpairing_test.o: include/pbc_a_param.h include/pbc_d_param.h +guru/prodpairing_test.o: include/pbc_e_param.h include/pbc_f_param.h +guru/prodpairing_test.o: include/pbc_g_param.h include/pbc_i_param.h +guru/prodpairing_test.o: include/pbc_random.h include/pbc_memory.h +guru/prodpairing_test.o: include/pbc_test.h diff --git a/moon-abe/pbc-0.5.14/test b/moon-abe/pbc-0.5.14/test new file mode 100644 index 00000000..96cb1a09 --- /dev/null +++ b/moon-abe/pbc-0.5.14/test @@ -0,0 +1,24 @@ +#!/bin/bash + +function show_result() { + red=$'\e'"[31m" + green=$'\e'"[32;1m" + normal=$'\e'"[0m" + if [[ $1 != 0 ]]; then + echo $red"[FAILED]"$normal $t + else + echo $green"[PASSED]"$normal $t + fi +} + +make test +make pbc/pbc +for t in pbc/pairing_test.pbc pbc/g2_test.pbc pbc/bilinear.test ; do + pbc/pbc $t > /dev/null + show_result $? +done + +for t in guru/fp_test guru/quadratic_test guru/poly_test guru/prodpairing_test guru/ternary_extension_field_test guru/eta_T_3_test ; do + $t > /dev/null + show_result $? +done |