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Diffstat (limited to 'qemu/fpu/softfloat-specialize.h')
| -rw-r--r-- | qemu/fpu/softfloat-specialize.h | 1236 |
1 files changed, 0 insertions, 1236 deletions
diff --git a/qemu/fpu/softfloat-specialize.h b/qemu/fpu/softfloat-specialize.h deleted file mode 100644 index a4cbdad45..000000000 --- a/qemu/fpu/softfloat-specialize.h +++ /dev/null @@ -1,1236 +0,0 @@ -/* - * QEMU float support - * - * The code in this source file is derived from release 2a of the SoftFloat - * IEC/IEEE Floating-point Arithmetic Package. Those parts of the code (and - * some later contributions) are provided under that license, as detailed below. - * It has subsequently been modified by contributors to the QEMU Project, - * so some portions are provided under: - * the SoftFloat-2a license - * the BSD license - * GPL-v2-or-later - * - * Any future contributions to this file after December 1st 2014 will be - * taken to be licensed under the Softfloat-2a license unless specifically - * indicated otherwise. - */ - -/* -=============================================================================== -This C source fragment is part of the SoftFloat IEC/IEEE Floating-point -Arithmetic Package, Release 2a. - -Written by John R. Hauser. This work was made possible in part by the -International Computer Science Institute, located at Suite 600, 1947 Center -Street, Berkeley, California 94704. Funding was partially provided by the -National Science Foundation under grant MIP-9311980. The original version -of this code was written as part of a project to build a fixed-point vector -processor in collaboration with the University of California at Berkeley, -overseen by Profs. Nelson Morgan and John Wawrzynek. More information -is available through the Web page `http://HTTP.CS.Berkeley.EDU/~jhauser/ -arithmetic/SoftFloat.html'. - -THIS SOFTWARE IS DISTRIBUTED AS IS, FOR FREE. Although reasonable effort -has been made to avoid it, THIS SOFTWARE MAY CONTAIN FAULTS THAT WILL AT -TIMES RESULT IN INCORRECT BEHAVIOR. USE OF THIS SOFTWARE IS RESTRICTED TO -PERSONS AND ORGANIZATIONS WHO CAN AND WILL TAKE FULL RESPONSIBILITY FOR ANY -AND ALL LOSSES, COSTS, OR OTHER PROBLEMS ARISING FROM ITS USE. - -Derivative works are acceptable, even for commercial purposes, so long as -(1) they include prominent notice that the work is derivative, and (2) they -include prominent notice akin to these four paragraphs for those parts of -this code that are retained. - -=============================================================================== -*/ - -/* BSD licensing: - * Copyright (c) 2006, Fabrice Bellard - * All rights reserved. - * - * Redistribution and use in source and binary forms, with or without - * modification, are permitted provided that the following conditions are met: - * - * 1. Redistributions of source code must retain the above copyright notice, - * this list of conditions and the following disclaimer. - * - * 2. Redistributions in binary form must reproduce the above copyright notice, - * this list of conditions and the following disclaimer in the documentation - * and/or other materials provided with the distribution. - * - * 3. Neither the name of the copyright holder nor the names of its contributors - * may be used to endorse or promote products derived from this software without - * specific prior written permission. - * - * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" - * AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE - * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE - * ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE - * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR - * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF - * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS - * INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN - * CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) - * ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF - * THE POSSIBILITY OF SUCH DAMAGE. - */ - -/* Portions of this work are licensed under the terms of the GNU GPL, - * version 2 or later. See the COPYING file in the top-level directory. - */ - -/* Does the target distinguish signaling NaNs from non-signaling NaNs - * by setting the most significant bit of the mantissa for a signaling NaN? - * (The more common choice is to have it be zero for SNaN and one for QNaN.) - */ -#if defined(TARGET_MIPS) || defined(TARGET_SH4) || defined(TARGET_UNICORE32) -#define SNAN_BIT_IS_ONE 1 -#else -#define SNAN_BIT_IS_ONE 0 -#endif - -#if defined(TARGET_XTENSA) -/* Define for architectures which deviate from IEEE in not supporting - * signaling NaNs (so all NaNs are treated as quiet). - */ -#define NO_SIGNALING_NANS 1 -#endif - -/*---------------------------------------------------------------------------- -| The pattern for a default generated half-precision NaN. -*----------------------------------------------------------------------------*/ -#if defined(TARGET_ARM) -const float16 float16_default_nan = const_float16(0x7E00); -#elif SNAN_BIT_IS_ONE -const float16 float16_default_nan = const_float16(0x7DFF); -#else -const float16 float16_default_nan = const_float16(0xFE00); -#endif - -/*---------------------------------------------------------------------------- -| The pattern for a default generated single-precision NaN. -*----------------------------------------------------------------------------*/ -#if defined(TARGET_SPARC) -const float32 float32_default_nan = const_float32(0x7FFFFFFF); -#elif defined(TARGET_PPC) || defined(TARGET_ARM) || defined(TARGET_ALPHA) || \ - defined(TARGET_XTENSA) || defined(TARGET_S390X) || defined(TARGET_TRICORE) -const float32 float32_default_nan = const_float32(0x7FC00000); -#elif SNAN_BIT_IS_ONE -const float32 float32_default_nan = const_float32(0x7FBFFFFF); -#else -const float32 float32_default_nan = const_float32(0xFFC00000); -#endif - -/*---------------------------------------------------------------------------- -| The pattern for a default generated double-precision NaN. -*----------------------------------------------------------------------------*/ -#if defined(TARGET_SPARC) -const float64 float64_default_nan = const_float64(LIT64( 0x7FFFFFFFFFFFFFFF )); -#elif defined(TARGET_PPC) || defined(TARGET_ARM) || defined(TARGET_ALPHA) || \ - defined(TARGET_S390X) -const float64 float64_default_nan = const_float64(LIT64( 0x7FF8000000000000 )); -#elif SNAN_BIT_IS_ONE -const float64 float64_default_nan = const_float64(LIT64(0x7FF7FFFFFFFFFFFF)); -#else -const float64 float64_default_nan = const_float64(LIT64( 0xFFF8000000000000 )); -#endif - -/*---------------------------------------------------------------------------- -| The pattern for a default generated extended double-precision NaN. -*----------------------------------------------------------------------------*/ -#if SNAN_BIT_IS_ONE -#define floatx80_default_nan_high 0x7FFF -#define floatx80_default_nan_low LIT64(0xBFFFFFFFFFFFFFFF) -#else -#define floatx80_default_nan_high 0xFFFF -#define floatx80_default_nan_low LIT64( 0xC000000000000000 ) -#endif - -const floatx80 floatx80_default_nan - = make_floatx80_init(floatx80_default_nan_high, floatx80_default_nan_low); - -/*---------------------------------------------------------------------------- -| The pattern for a default generated quadruple-precision NaN. The `high' and -| `low' values hold the most- and least-significant bits, respectively. -*----------------------------------------------------------------------------*/ -#if SNAN_BIT_IS_ONE -#define float128_default_nan_high LIT64(0x7FFF7FFFFFFFFFFF) -#define float128_default_nan_low LIT64(0xFFFFFFFFFFFFFFFF) -#elif defined(TARGET_S390X) -#define float128_default_nan_high LIT64( 0x7FFF800000000000 ) -#define float128_default_nan_low LIT64( 0x0000000000000000 ) -#else -#define float128_default_nan_high LIT64( 0xFFFF800000000000 ) -#define float128_default_nan_low LIT64( 0x0000000000000000 ) -#endif - -const float128 float128_default_nan - = make_float128_init(float128_default_nan_high, float128_default_nan_low); - -/*---------------------------------------------------------------------------- -| Raises the exceptions specified by `flags'. Floating-point traps can be -| defined here if desired. It is currently not possible for such a trap -| to substitute a result value. If traps are not implemented, this routine -| should be simply `float_exception_flags |= flags;'. -*----------------------------------------------------------------------------*/ - -void float_raise(int8_t flags, float_status *status) -{ - status->float_exception_flags |= flags; -} - -/*---------------------------------------------------------------------------- -| Internal canonical NaN format. -*----------------------------------------------------------------------------*/ -typedef struct { - flag sign; - uint64_t high, low; -} commonNaNT; - -#ifdef NO_SIGNALING_NANS -int float16_is_quiet_nan(float16 a_) -{ - return float16_is_any_nan(a_); -} - -int float16_is_signaling_nan(float16 a_) -{ - return 0; -} -#else -/*---------------------------------------------------------------------------- -| Returns 1 if the half-precision floating-point value `a' is a quiet -| NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -int float16_is_quiet_nan(float16 a_) -{ - uint16_t a = float16_val(a_); -#if SNAN_BIT_IS_ONE - return (((a >> 9) & 0x3F) == 0x3E) && (a & 0x1FF); -#else - return ((a & ~0x8000) >= 0x7c80); -#endif -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the half-precision floating-point value `a' is a signaling -| NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -int float16_is_signaling_nan(float16 a_) -{ - uint16_t a = float16_val(a_); -#if SNAN_BIT_IS_ONE - return ((a & ~0x8000) >= 0x7c80); -#else - return (((a >> 9) & 0x3F) == 0x3E) && (a & 0x1FF); -#endif -} -#endif - -/*---------------------------------------------------------------------------- -| Returns a quiet NaN if the half-precision floating point value `a' is a -| signaling NaN; otherwise returns `a'. -*----------------------------------------------------------------------------*/ -float16 float16_maybe_silence_nan(float16 a_) -{ - if (float16_is_signaling_nan(a_)) { -#if SNAN_BIT_IS_ONE -# if defined(TARGET_MIPS) || defined(TARGET_SH4) || defined(TARGET_UNICORE32) - return float16_default_nan; -# else -# error Rules for silencing a signaling NaN are target-specific -# endif -#else - uint16_t a = float16_val(a_); - a |= (1 << 9); - return make_float16(a); -#endif - } - return a_; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the half-precision floating-point NaN -| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid -| exception is raised. -*----------------------------------------------------------------------------*/ - -static commonNaNT float16ToCommonNaN(float16 a, float_status *status) -{ - commonNaNT z; - - if (float16_is_signaling_nan(a)) { - float_raise(float_flag_invalid, status); - } - z.sign = float16_val(a) >> 15; - z.low = 0; - z.high = ((uint64_t) float16_val(a))<<54; - return z; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the canonical NaN `a' to the half- -| precision floating-point format. -*----------------------------------------------------------------------------*/ - -static float16 commonNaNToFloat16(commonNaNT a, float_status *status) -{ - uint16_t mantissa = a.high>>54; - - if (status->default_nan_mode) { - return float16_default_nan; - } - - if (mantissa) { - return make_float16(((((uint16_t) a.sign) << 15) - | (0x1F << 10) | mantissa)); - } else { - return float16_default_nan; - } -} - -#ifdef NO_SIGNALING_NANS -int float32_is_quiet_nan(float32 a_) -{ - return float32_is_any_nan(a_); -} - -int float32_is_signaling_nan(float32 a_) -{ - return 0; -} -#else -/*---------------------------------------------------------------------------- -| Returns 1 if the single-precision floating-point value `a' is a quiet -| NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -int float32_is_quiet_nan( float32 a_ ) -{ - uint32_t a = float32_val(a_); -#if SNAN_BIT_IS_ONE - return (((a >> 22) & 0x1ff) == 0x1fe) && (a & 0x003fffff); -#else - return ((uint32_t)(a << 1) >= 0xff800000); -#endif -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the single-precision floating-point value `a' is a signaling -| NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -int float32_is_signaling_nan( float32 a_ ) -{ - uint32_t a = float32_val(a_); -#if SNAN_BIT_IS_ONE - return ((uint32_t)(a << 1) >= 0xff800000); -#else - return ( ( ( a>>22 ) & 0x1FF ) == 0x1FE ) && ( a & 0x003FFFFF ); -#endif -} -#endif - -/*---------------------------------------------------------------------------- -| Returns a quiet NaN if the single-precision floating point value `a' is a -| signaling NaN; otherwise returns `a'. -*----------------------------------------------------------------------------*/ - -float32 float32_maybe_silence_nan( float32 a_ ) -{ - if (float32_is_signaling_nan(a_)) { -#if SNAN_BIT_IS_ONE -# if defined(TARGET_MIPS) || defined(TARGET_SH4) || defined(TARGET_UNICORE32) - return float32_default_nan; -# else -# error Rules for silencing a signaling NaN are target-specific -# endif -#else - uint32_t a = float32_val(a_); - a |= (1 << 22); - return make_float32(a); -#endif - } - return a_; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the single-precision floating-point NaN -| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid -| exception is raised. -*----------------------------------------------------------------------------*/ - -static commonNaNT float32ToCommonNaN(float32 a, float_status *status) -{ - commonNaNT z; - - if (float32_is_signaling_nan(a)) { - float_raise(float_flag_invalid, status); - } - z.sign = float32_val(a)>>31; - z.low = 0; - z.high = ( (uint64_t) float32_val(a) )<<41; - return z; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the canonical NaN `a' to the single- -| precision floating-point format. -*----------------------------------------------------------------------------*/ - -static float32 commonNaNToFloat32(commonNaNT a, float_status *status) -{ - uint32_t mantissa = a.high>>41; - - if (status->default_nan_mode) { - return float32_default_nan; - } - - if ( mantissa ) - return make_float32( - ( ( (uint32_t) a.sign )<<31 ) | 0x7F800000 | ( a.high>>41 ) ); - else - return float32_default_nan; -} - -/*---------------------------------------------------------------------------- -| Select which NaN to propagate for a two-input operation. -| IEEE754 doesn't specify all the details of this, so the -| algorithm is target-specific. -| The routine is passed various bits of information about the -| two NaNs and should return 0 to select NaN a and 1 for NaN b. -| Note that signalling NaNs are always squashed to quiet NaNs -| by the caller, by calling floatXX_maybe_silence_nan() before -| returning them. -| -| aIsLargerSignificand is only valid if both a and b are NaNs -| of some kind, and is true if a has the larger significand, -| or if both a and b have the same significand but a is -| positive but b is negative. It is only needed for the x87 -| tie-break rule. -*----------------------------------------------------------------------------*/ - -#if defined(TARGET_ARM) -static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, - flag aIsLargerSignificand) -{ - /* ARM mandated NaN propagation rules: take the first of: - * 1. A if it is signaling - * 2. B if it is signaling - * 3. A (quiet) - * 4. B (quiet) - * A signaling NaN is always quietened before returning it. - */ - if (aIsSNaN) { - return 0; - } else if (bIsSNaN) { - return 1; - } else if (aIsQNaN) { - return 0; - } else { - return 1; - } -} -#elif defined(TARGET_MIPS) -static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, - flag aIsLargerSignificand) -{ - /* According to MIPS specifications, if one of the two operands is - * a sNaN, a new qNaN has to be generated. This is done in - * floatXX_maybe_silence_nan(). For qNaN inputs the specifications - * says: "When possible, this QNaN result is one of the operand QNaN - * values." In practice it seems that most implementations choose - * the first operand if both operands are qNaN. In short this gives - * the following rules: - * 1. A if it is signaling - * 2. B if it is signaling - * 3. A (quiet) - * 4. B (quiet) - * A signaling NaN is always silenced before returning it. - */ - if (aIsSNaN) { - return 0; - } else if (bIsSNaN) { - return 1; - } else if (aIsQNaN) { - return 0; - } else { - return 1; - } -} -#elif defined(TARGET_PPC) || defined(TARGET_XTENSA) -static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, - flag aIsLargerSignificand) -{ - /* PowerPC propagation rules: - * 1. A if it sNaN or qNaN - * 2. B if it sNaN or qNaN - * A signaling NaN is always silenced before returning it. - */ - if (aIsSNaN || aIsQNaN) { - return 0; - } else { - return 1; - } -} -#else -static int pickNaN(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, - flag aIsLargerSignificand) -{ - /* This implements x87 NaN propagation rules: - * SNaN + QNaN => return the QNaN - * two SNaNs => return the one with the larger significand, silenced - * two QNaNs => return the one with the larger significand - * SNaN and a non-NaN => return the SNaN, silenced - * QNaN and a non-NaN => return the QNaN - * - * If we get down to comparing significands and they are the same, - * return the NaN with the positive sign bit (if any). - */ - if (aIsSNaN) { - if (bIsSNaN) { - return aIsLargerSignificand ? 0 : 1; - } - return bIsQNaN ? 1 : 0; - } - else if (aIsQNaN) { - if (bIsSNaN || !bIsQNaN) - return 0; - else { - return aIsLargerSignificand ? 0 : 1; - } - } else { - return 1; - } -} -#endif - -/*---------------------------------------------------------------------------- -| Select which NaN to propagate for a three-input operation. -| For the moment we assume that no CPU needs the 'larger significand' -| information. -| Return values : 0 : a; 1 : b; 2 : c; 3 : default-NaN -*----------------------------------------------------------------------------*/ -#if defined(TARGET_ARM) -static int pickNaNMulAdd(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, - flag cIsQNaN, flag cIsSNaN, flag infzero, - float_status *status) -{ - /* For ARM, the (inf,zero,qnan) case sets InvalidOp and returns - * the default NaN - */ - if (infzero && cIsQNaN) { - float_raise(float_flag_invalid, status); - return 3; - } - - /* This looks different from the ARM ARM pseudocode, because the ARM ARM - * puts the operands to a fused mac operation (a*b)+c in the order c,a,b. - */ - if (cIsSNaN) { - return 2; - } else if (aIsSNaN) { - return 0; - } else if (bIsSNaN) { - return 1; - } else if (cIsQNaN) { - return 2; - } else if (aIsQNaN) { - return 0; - } else { - return 1; - } -} -#elif defined(TARGET_MIPS) -static int pickNaNMulAdd(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, - flag cIsQNaN, flag cIsSNaN, flag infzero, - float_status *status) -{ - /* For MIPS, the (inf,zero,qnan) case sets InvalidOp and returns - * the default NaN - */ - if (infzero) { - float_raise(float_flag_invalid, status); - return 3; - } - - /* Prefer sNaN over qNaN, in the a, b, c order. */ - if (aIsSNaN) { - return 0; - } else if (bIsSNaN) { - return 1; - } else if (cIsSNaN) { - return 2; - } else if (aIsQNaN) { - return 0; - } else if (bIsQNaN) { - return 1; - } else { - return 2; - } -} -#elif defined(TARGET_PPC) -static int pickNaNMulAdd(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, - flag cIsQNaN, flag cIsSNaN, flag infzero, - float_status *status) -{ - /* For PPC, the (inf,zero,qnan) case sets InvalidOp, but we prefer - * to return an input NaN if we have one (ie c) rather than generating - * a default NaN - */ - if (infzero) { - float_raise(float_flag_invalid, status); - return 2; - } - - /* If fRA is a NaN return it; otherwise if fRB is a NaN return it; - * otherwise return fRC. Note that muladd on PPC is (fRA * fRC) + frB - */ - if (aIsSNaN || aIsQNaN) { - return 0; - } else if (cIsSNaN || cIsQNaN) { - return 2; - } else { - return 1; - } -} -#else -/* A default implementation: prefer a to b to c. - * This is unlikely to actually match any real implementation. - */ -static int pickNaNMulAdd(flag aIsQNaN, flag aIsSNaN, flag bIsQNaN, flag bIsSNaN, - flag cIsQNaN, flag cIsSNaN, flag infzero, - float_status *status) -{ - if (aIsSNaN || aIsQNaN) { - return 0; - } else if (bIsSNaN || bIsQNaN) { - return 1; - } else { - return 2; - } -} -#endif - -/*---------------------------------------------------------------------------- -| Takes two single-precision floating-point values `a' and `b', one of which -| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a -| signaling NaN, the invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static float32 propagateFloat32NaN(float32 a, float32 b, float_status *status) -{ - flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN; - flag aIsLargerSignificand; - uint32_t av, bv; - - aIsQuietNaN = float32_is_quiet_nan( a ); - aIsSignalingNaN = float32_is_signaling_nan( a ); - bIsQuietNaN = float32_is_quiet_nan( b ); - bIsSignalingNaN = float32_is_signaling_nan( b ); - av = float32_val(a); - bv = float32_val(b); - - if (aIsSignalingNaN | bIsSignalingNaN) { - float_raise(float_flag_invalid, status); - } - - if (status->default_nan_mode) - return float32_default_nan; - - if ((uint32_t)(av<<1) < (uint32_t)(bv<<1)) { - aIsLargerSignificand = 0; - } else if ((uint32_t)(bv<<1) < (uint32_t)(av<<1)) { - aIsLargerSignificand = 1; - } else { - aIsLargerSignificand = (av < bv) ? 1 : 0; - } - - if (pickNaN(aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN, - aIsLargerSignificand)) { - return float32_maybe_silence_nan(b); - } else { - return float32_maybe_silence_nan(a); - } -} - -/*---------------------------------------------------------------------------- -| Takes three single-precision floating-point values `a', `b' and `c', one of -| which is a NaN, and returns the appropriate NaN result. If any of `a', -| `b' or `c' is a signaling NaN, the invalid exception is raised. -| The input infzero indicates whether a*b was 0*inf or inf*0 (in which case -| obviously c is a NaN, and whether to propagate c or some other NaN is -| implementation defined). -*----------------------------------------------------------------------------*/ - -static float32 propagateFloat32MulAddNaN(float32 a, float32 b, - float32 c, flag infzero, - float_status *status) -{ - flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN, - cIsQuietNaN, cIsSignalingNaN; - int which; - - aIsQuietNaN = float32_is_quiet_nan(a); - aIsSignalingNaN = float32_is_signaling_nan(a); - bIsQuietNaN = float32_is_quiet_nan(b); - bIsSignalingNaN = float32_is_signaling_nan(b); - cIsQuietNaN = float32_is_quiet_nan(c); - cIsSignalingNaN = float32_is_signaling_nan(c); - - if (aIsSignalingNaN | bIsSignalingNaN | cIsSignalingNaN) { - float_raise(float_flag_invalid, status); - } - - which = pickNaNMulAdd(aIsQuietNaN, aIsSignalingNaN, - bIsQuietNaN, bIsSignalingNaN, - cIsQuietNaN, cIsSignalingNaN, infzero, status); - - if (status->default_nan_mode) { - /* Note that this check is after pickNaNMulAdd so that function - * has an opportunity to set the Invalid flag. - */ - return float32_default_nan; - } - - switch (which) { - case 0: - return float32_maybe_silence_nan(a); - case 1: - return float32_maybe_silence_nan(b); - case 2: - return float32_maybe_silence_nan(c); - case 3: - default: - return float32_default_nan; - } -} - -#ifdef NO_SIGNALING_NANS -int float64_is_quiet_nan(float64 a_) -{ - return float64_is_any_nan(a_); -} - -int float64_is_signaling_nan(float64 a_) -{ - return 0; -} -#else -/*---------------------------------------------------------------------------- -| Returns 1 if the double-precision floating-point value `a' is a quiet -| NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -int float64_is_quiet_nan( float64 a_ ) -{ - uint64_t a = float64_val(a_); -#if SNAN_BIT_IS_ONE - return (((a >> 51) & 0xfff) == 0xffe) - && (a & 0x0007ffffffffffffULL); -#else - return ((a << 1) >= 0xfff0000000000000ULL); -#endif -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the double-precision floating-point value `a' is a signaling -| NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -int float64_is_signaling_nan( float64 a_ ) -{ - uint64_t a = float64_val(a_); -#if SNAN_BIT_IS_ONE - return ((a << 1) >= 0xfff0000000000000ULL); -#else - return - ( ( ( a>>51 ) & 0xFFF ) == 0xFFE ) - && ( a & LIT64( 0x0007FFFFFFFFFFFF ) ); -#endif -} -#endif - -/*---------------------------------------------------------------------------- -| Returns a quiet NaN if the double-precision floating point value `a' is a -| signaling NaN; otherwise returns `a'. -*----------------------------------------------------------------------------*/ - -float64 float64_maybe_silence_nan( float64 a_ ) -{ - if (float64_is_signaling_nan(a_)) { -#if SNAN_BIT_IS_ONE -# if defined(TARGET_MIPS) || defined(TARGET_SH4) || defined(TARGET_UNICORE32) - return float64_default_nan; -# else -# error Rules for silencing a signaling NaN are target-specific -# endif -#else - uint64_t a = float64_val(a_); - a |= LIT64( 0x0008000000000000 ); - return make_float64(a); -#endif - } - return a_; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the double-precision floating-point NaN -| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid -| exception is raised. -*----------------------------------------------------------------------------*/ - -static commonNaNT float64ToCommonNaN(float64 a, float_status *status) -{ - commonNaNT z; - - if (float64_is_signaling_nan(a)) { - float_raise(float_flag_invalid, status); - } - z.sign = float64_val(a)>>63; - z.low = 0; - z.high = float64_val(a)<<12; - return z; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the canonical NaN `a' to the double- -| precision floating-point format. -*----------------------------------------------------------------------------*/ - -static float64 commonNaNToFloat64(commonNaNT a, float_status *status) -{ - uint64_t mantissa = a.high>>12; - - if (status->default_nan_mode) { - return float64_default_nan; - } - - if ( mantissa ) - return make_float64( - ( ( (uint64_t) a.sign )<<63 ) - | LIT64( 0x7FF0000000000000 ) - | ( a.high>>12 )); - else - return float64_default_nan; -} - -/*---------------------------------------------------------------------------- -| Takes two double-precision floating-point values `a' and `b', one of which -| is a NaN, and returns the appropriate NaN result. If either `a' or `b' is a -| signaling NaN, the invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static float64 propagateFloat64NaN(float64 a, float64 b, float_status *status) -{ - flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN; - flag aIsLargerSignificand; - uint64_t av, bv; - - aIsQuietNaN = float64_is_quiet_nan( a ); - aIsSignalingNaN = float64_is_signaling_nan( a ); - bIsQuietNaN = float64_is_quiet_nan( b ); - bIsSignalingNaN = float64_is_signaling_nan( b ); - av = float64_val(a); - bv = float64_val(b); - - if (aIsSignalingNaN | bIsSignalingNaN) { - float_raise(float_flag_invalid, status); - } - - if (status->default_nan_mode) - return float64_default_nan; - - if ((uint64_t)(av<<1) < (uint64_t)(bv<<1)) { - aIsLargerSignificand = 0; - } else if ((uint64_t)(bv<<1) < (uint64_t)(av<<1)) { - aIsLargerSignificand = 1; - } else { - aIsLargerSignificand = (av < bv) ? 1 : 0; - } - - if (pickNaN(aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN, - aIsLargerSignificand)) { - return float64_maybe_silence_nan(b); - } else { - return float64_maybe_silence_nan(a); - } -} - -/*---------------------------------------------------------------------------- -| Takes three double-precision floating-point values `a', `b' and `c', one of -| which is a NaN, and returns the appropriate NaN result. If any of `a', -| `b' or `c' is a signaling NaN, the invalid exception is raised. -| The input infzero indicates whether a*b was 0*inf or inf*0 (in which case -| obviously c is a NaN, and whether to propagate c or some other NaN is -| implementation defined). -*----------------------------------------------------------------------------*/ - -static float64 propagateFloat64MulAddNaN(float64 a, float64 b, - float64 c, flag infzero, - float_status *status) -{ - flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN, - cIsQuietNaN, cIsSignalingNaN; - int which; - - aIsQuietNaN = float64_is_quiet_nan(a); - aIsSignalingNaN = float64_is_signaling_nan(a); - bIsQuietNaN = float64_is_quiet_nan(b); - bIsSignalingNaN = float64_is_signaling_nan(b); - cIsQuietNaN = float64_is_quiet_nan(c); - cIsSignalingNaN = float64_is_signaling_nan(c); - - if (aIsSignalingNaN | bIsSignalingNaN | cIsSignalingNaN) { - float_raise(float_flag_invalid, status); - } - - which = pickNaNMulAdd(aIsQuietNaN, aIsSignalingNaN, - bIsQuietNaN, bIsSignalingNaN, - cIsQuietNaN, cIsSignalingNaN, infzero, status); - - if (status->default_nan_mode) { - /* Note that this check is after pickNaNMulAdd so that function - * has an opportunity to set the Invalid flag. - */ - return float64_default_nan; - } - - switch (which) { - case 0: - return float64_maybe_silence_nan(a); - case 1: - return float64_maybe_silence_nan(b); - case 2: - return float64_maybe_silence_nan(c); - case 3: - default: - return float64_default_nan; - } -} - -#ifdef NO_SIGNALING_NANS -int floatx80_is_quiet_nan(floatx80 a_) -{ - return floatx80_is_any_nan(a_); -} - -int floatx80_is_signaling_nan(floatx80 a_) -{ - return 0; -} -#else -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is a -| quiet NaN; otherwise returns 0. This slightly differs from the same -| function for other types as floatx80 has an explicit bit. -*----------------------------------------------------------------------------*/ - -int floatx80_is_quiet_nan( floatx80 a ) -{ -#if SNAN_BIT_IS_ONE - uint64_t aLow; - - aLow = a.low & ~0x4000000000000000ULL; - return ((a.high & 0x7fff) == 0x7fff) - && (aLow << 1) - && (a.low == aLow); -#else - return ( ( a.high & 0x7FFF ) == 0x7FFF ) - && (LIT64( 0x8000000000000000 ) <= ((uint64_t) ( a.low<<1 ))); -#endif -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the extended double-precision floating-point value `a' is a -| signaling NaN; otherwise returns 0. This slightly differs from the same -| function for other types as floatx80 has an explicit bit. -*----------------------------------------------------------------------------*/ - -int floatx80_is_signaling_nan( floatx80 a ) -{ -#if SNAN_BIT_IS_ONE - return ((a.high & 0x7fff) == 0x7fff) - && ((a.low << 1) >= 0x8000000000000000ULL); -#else - uint64_t aLow; - - aLow = a.low & ~ LIT64( 0x4000000000000000 ); - return - ( ( a.high & 0x7FFF ) == 0x7FFF ) - && (uint64_t) ( aLow<<1 ) - && ( a.low == aLow ); -#endif -} -#endif - -/*---------------------------------------------------------------------------- -| Returns a quiet NaN if the extended double-precision floating point value -| `a' is a signaling NaN; otherwise returns `a'. -*----------------------------------------------------------------------------*/ - -floatx80 floatx80_maybe_silence_nan( floatx80 a ) -{ - if (floatx80_is_signaling_nan(a)) { -#if SNAN_BIT_IS_ONE -# if defined(TARGET_MIPS) || defined(TARGET_SH4) || defined(TARGET_UNICORE32) - a.low = floatx80_default_nan_low; - a.high = floatx80_default_nan_high; -# else -# error Rules for silencing a signaling NaN are target-specific -# endif -#else - a.low |= LIT64( 0xC000000000000000 ); - return a; -#endif - } - return a; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the extended double-precision floating- -| point NaN `a' to the canonical NaN format. If `a' is a signaling NaN, the -| invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static commonNaNT floatx80ToCommonNaN(floatx80 a, float_status *status) -{ - commonNaNT z; - - if (floatx80_is_signaling_nan(a)) { - float_raise(float_flag_invalid, status); - } - if ( a.low >> 63 ) { - z.sign = a.high >> 15; - z.low = 0; - z.high = a.low << 1; - } else { - z.sign = floatx80_default_nan_high >> 15; - z.low = 0; - z.high = floatx80_default_nan_low << 1; - } - return z; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the canonical NaN `a' to the extended -| double-precision floating-point format. -*----------------------------------------------------------------------------*/ - -static floatx80 commonNaNToFloatx80(commonNaNT a, float_status *status) -{ - floatx80 z; - - if (status->default_nan_mode) { - z.low = floatx80_default_nan_low; - z.high = floatx80_default_nan_high; - return z; - } - - if (a.high >> 1) { - z.low = LIT64( 0x8000000000000000 ) | a.high >> 1; - z.high = ( ( (uint16_t) a.sign )<<15 ) | 0x7FFF; - } else { - z.low = floatx80_default_nan_low; - z.high = floatx80_default_nan_high; - } - - return z; -} - -/*---------------------------------------------------------------------------- -| Takes two extended double-precision floating-point values `a' and `b', one -| of which is a NaN, and returns the appropriate NaN result. If either `a' or -| `b' is a signaling NaN, the invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static floatx80 propagateFloatx80NaN(floatx80 a, floatx80 b, - float_status *status) -{ - flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN; - flag aIsLargerSignificand; - - aIsQuietNaN = floatx80_is_quiet_nan( a ); - aIsSignalingNaN = floatx80_is_signaling_nan( a ); - bIsQuietNaN = floatx80_is_quiet_nan( b ); - bIsSignalingNaN = floatx80_is_signaling_nan( b ); - - if (aIsSignalingNaN | bIsSignalingNaN) { - float_raise(float_flag_invalid, status); - } - - if (status->default_nan_mode) { - a.low = floatx80_default_nan_low; - a.high = floatx80_default_nan_high; - return a; - } - - if (a.low < b.low) { - aIsLargerSignificand = 0; - } else if (b.low < a.low) { - aIsLargerSignificand = 1; - } else { - aIsLargerSignificand = (a.high < b.high) ? 1 : 0; - } - - if (pickNaN(aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN, - aIsLargerSignificand)) { - return floatx80_maybe_silence_nan(b); - } else { - return floatx80_maybe_silence_nan(a); - } -} - -#ifdef NO_SIGNALING_NANS -int float128_is_quiet_nan(float128 a_) -{ - return float128_is_any_nan(a_); -} - -int float128_is_signaling_nan(float128 a_) -{ - return 0; -} -#else -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is a quiet -| NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -int float128_is_quiet_nan( float128 a ) -{ -#if SNAN_BIT_IS_ONE - return (((a.high >> 47) & 0xffff) == 0xfffe) - && (a.low || (a.high & 0x00007fffffffffffULL)); -#else - return - ((a.high << 1) >= 0xffff000000000000ULL) - && (a.low || (a.high & 0x0000ffffffffffffULL)); -#endif -} - -/*---------------------------------------------------------------------------- -| Returns 1 if the quadruple-precision floating-point value `a' is a -| signaling NaN; otherwise returns 0. -*----------------------------------------------------------------------------*/ - -int float128_is_signaling_nan( float128 a ) -{ -#if SNAN_BIT_IS_ONE - return - ((a.high << 1) >= 0xffff000000000000ULL) - && (a.low || (a.high & 0x0000ffffffffffffULL)); -#else - return - ( ( ( a.high>>47 ) & 0xFFFF ) == 0xFFFE ) - && ( a.low || ( a.high & LIT64( 0x00007FFFFFFFFFFF ) ) ); -#endif -} -#endif - -/*---------------------------------------------------------------------------- -| Returns a quiet NaN if the quadruple-precision floating point value `a' is -| a signaling NaN; otherwise returns `a'. -*----------------------------------------------------------------------------*/ - -float128 float128_maybe_silence_nan( float128 a ) -{ - if (float128_is_signaling_nan(a)) { -#if SNAN_BIT_IS_ONE -# if defined(TARGET_MIPS) || defined(TARGET_SH4) || defined(TARGET_UNICORE32) - a.low = float128_default_nan_low; - a.high = float128_default_nan_high; -# else -# error Rules for silencing a signaling NaN are target-specific -# endif -#else - a.high |= LIT64( 0x0000800000000000 ); - return a; -#endif - } - return a; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the quadruple-precision floating-point NaN -| `a' to the canonical NaN format. If `a' is a signaling NaN, the invalid -| exception is raised. -*----------------------------------------------------------------------------*/ - -static commonNaNT float128ToCommonNaN(float128 a, float_status *status) -{ - commonNaNT z; - - if (float128_is_signaling_nan(a)) { - float_raise(float_flag_invalid, status); - } - z.sign = a.high>>63; - shortShift128Left( a.high, a.low, 16, &z.high, &z.low ); - return z; -} - -/*---------------------------------------------------------------------------- -| Returns the result of converting the canonical NaN `a' to the quadruple- -| precision floating-point format. -*----------------------------------------------------------------------------*/ - -static float128 commonNaNToFloat128(commonNaNT a, float_status *status) -{ - float128 z; - - if (status->default_nan_mode) { - z.low = float128_default_nan_low; - z.high = float128_default_nan_high; - return z; - } - - shift128Right( a.high, a.low, 16, &z.high, &z.low ); - z.high |= ( ( (uint64_t) a.sign )<<63 ) | LIT64( 0x7FFF000000000000 ); - return z; -} - -/*---------------------------------------------------------------------------- -| Takes two quadruple-precision floating-point values `a' and `b', one of -| which is a NaN, and returns the appropriate NaN result. If either `a' or -| `b' is a signaling NaN, the invalid exception is raised. -*----------------------------------------------------------------------------*/ - -static float128 propagateFloat128NaN(float128 a, float128 b, - float_status *status) -{ - flag aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN; - flag aIsLargerSignificand; - - aIsQuietNaN = float128_is_quiet_nan( a ); - aIsSignalingNaN = float128_is_signaling_nan( a ); - bIsQuietNaN = float128_is_quiet_nan( b ); - bIsSignalingNaN = float128_is_signaling_nan( b ); - - if (aIsSignalingNaN | bIsSignalingNaN) { - float_raise(float_flag_invalid, status); - } - - if (status->default_nan_mode) { - a.low = float128_default_nan_low; - a.high = float128_default_nan_high; - return a; - } - - if (lt128(a.high<<1, a.low, b.high<<1, b.low)) { - aIsLargerSignificand = 0; - } else if (lt128(b.high<<1, b.low, a.high<<1, a.low)) { - aIsLargerSignificand = 1; - } else { - aIsLargerSignificand = (a.high < b.high) ? 1 : 0; - } - - if (pickNaN(aIsQuietNaN, aIsSignalingNaN, bIsQuietNaN, bIsSignalingNaN, - aIsLargerSignificand)) { - return float128_maybe_silence_nan(b); - } else { - return float128_maybe_silence_nan(a); - } -} - |