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-== 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[]