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-/**
-University of Illinois/NCSA
-Open Source License
-
-Copyright (c) 2009-2014 by the contributors listed in CREDITS.TXT
-
-All rights reserved.
-
-Developed by:
-
- LLVM Team
-
- University of Illinois at Urbana-Champaign
-
- http://llvm.org
-
-Permission is hereby granted, free of charge, to any person obtaining a copy of
-this software and associated documentation files (the "Software"), to deal with
-the Software without restriction, including without limitation the rights to
-use, copy, modify, merge, publish, distribute, sublicense, and/or sell copies
-of the Software, and to permit persons to whom the Software is furnished to do
-so, subject to the following conditions:
-
- * Redistributions of source code must retain the above copyright notice,
- this list of conditions and the following disclaimers.
-
- * Redistributions in binary form must reproduce the above copyright notice,
- this list of conditions and the following disclaimers in the
- documentation and/or other materials provided with the distribution.
-
- * Neither the names of the LLVM Team, University of Illinois at
- Urbana-Champaign, nor the names of its contributors may be used to
- endorse or promote products derived from this Software without specific
- prior written permission.
-
-THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
-IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS
-FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
-CONTRIBUTORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
-LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
-OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS WITH THE
-SOFTWARE.
-**/
-
-#ifndef FP_LIB_HEADER
-#define FP_LIB_HEADER
-
-#include <stdint.h>
-#include <stdbool.h>
-#include <limits.h>
-#include "int_lib.h"
-
-#if defined SINGLE_PRECISION
-
-typedef uint32_t rep_t;
-typedef int32_t srep_t;
-typedef float fp_t;
-#define REP_C UINT32_C
-#define significandBits 23
-
-static inline int rep_clz(rep_t a) {
- return __builtin_clz(a);
-}
-
-// 32x32 --> 64 bit multiply
-static inline void wideMultiply(rep_t a, rep_t b, rep_t *hi, rep_t *lo) {
- const uint64_t product = (uint64_t)a*b;
- *hi = product >> 32;
- *lo = product;
-}
-COMPILER_RT_ABI fp_t __addsf3(fp_t a, fp_t b);
-
-#elif defined DOUBLE_PRECISION
-
-typedef uint64_t rep_t;
-typedef int64_t srep_t;
-typedef double fp_t;
-#define REP_C UINT64_C
-#define significandBits 52
-
-static inline int rep_clz(rep_t a) {
-#if defined __LP64__
- return __builtin_clzl(a);
-#else
- if (a & REP_C(0xffffffff00000000))
- return __builtin_clz(a >> 32);
- else
- return 32 + __builtin_clz(a & REP_C(0xffffffff));
-#endif
-}
-
-#define loWord(a) (a & 0xffffffffU)
-#define hiWord(a) (a >> 32)
-
-// 64x64 -> 128 wide multiply for platforms that don't have such an operation;
-// many 64-bit platforms have this operation, but they tend to have hardware
-// floating-point, so we don't bother with a special case for them here.
-static inline void wideMultiply(rep_t a, rep_t b, rep_t *hi, rep_t *lo) {
- // Each of the component 32x32 -> 64 products
- const uint64_t plolo = loWord(a) * loWord(b);
- const uint64_t plohi = loWord(a) * hiWord(b);
- const uint64_t philo = hiWord(a) * loWord(b);
- const uint64_t phihi = hiWord(a) * hiWord(b);
- // Sum terms that contribute to lo in a way that allows us to get the carry
- const uint64_t r0 = loWord(plolo);
- const uint64_t r1 = hiWord(plolo) + loWord(plohi) + loWord(philo);
- *lo = r0 + (r1 << 32);
- // Sum terms contributing to hi with the carry from lo
- *hi = hiWord(plohi) + hiWord(philo) + hiWord(r1) + phihi;
-}
-#undef loWord
-#undef hiWord
-
-COMPILER_RT_ABI fp_t __adddf3(fp_t a, fp_t b);
-
-#elif defined QUAD_PRECISION
-#if __LDBL_MANT_DIG__ == 113
-#define CRT_LDBL_128BIT
-typedef __uint128_t rep_t;
-typedef __int128_t srep_t;
-typedef long double fp_t;
-#define REP_C (__uint128_t)
-// Note: Since there is no explicit way to tell compiler the constant is a
-// 128-bit integer, we let the constant be casted to 128-bit integer
-#define significandBits 112
-
-static inline int rep_clz(rep_t a) {
- const union
- {
- __uint128_t ll;
-#if _YUGA_BIG_ENDIAN
- struct { uint64_t high, low; } s;
-#else
- struct { uint64_t low, high; } s;
-#endif
- } uu = { .ll = a };
-
- uint64_t word;
- uint64_t add;
-
- if (uu.s.high){
- word = uu.s.high;
- add = 0;
- }
- else{
- word = uu.s.low;
- add = 64;
- }
- return __builtin_clzll(word) + add;
-}
-
-#define Word_LoMask UINT64_C(0x00000000ffffffff)
-#define Word_HiMask UINT64_C(0xffffffff00000000)
-#define Word_FullMask UINT64_C(0xffffffffffffffff)
-#define Word_1(a) (uint64_t)((a >> 96) & Word_LoMask)
-#define Word_2(a) (uint64_t)((a >> 64) & Word_LoMask)
-#define Word_3(a) (uint64_t)((a >> 32) & Word_LoMask)
-#define Word_4(a) (uint64_t)(a & Word_LoMask)
-
-// 128x128 -> 256 wide multiply for platforms that don't have such an operation;
-// many 64-bit platforms have this operation, but they tend to have hardware
-// floating-point, so we don't bother with a special case for them here.
-static inline void wideMultiply(rep_t a, rep_t b, rep_t *hi, rep_t *lo) {
-
- const uint64_t product11 = Word_1(a) * Word_1(b);
- const uint64_t product12 = Word_1(a) * Word_2(b);
- const uint64_t product13 = Word_1(a) * Word_3(b);
- const uint64_t product14 = Word_1(a) * Word_4(b);
- const uint64_t product21 = Word_2(a) * Word_1(b);
- const uint64_t product22 = Word_2(a) * Word_2(b);
- const uint64_t product23 = Word_2(a) * Word_3(b);
- const uint64_t product24 = Word_2(a) * Word_4(b);
- const uint64_t product31 = Word_3(a) * Word_1(b);
- const uint64_t product32 = Word_3(a) * Word_2(b);
- const uint64_t product33 = Word_3(a) * Word_3(b);
- const uint64_t product34 = Word_3(a) * Word_4(b);
- const uint64_t product41 = Word_4(a) * Word_1(b);
- const uint64_t product42 = Word_4(a) * Word_2(b);
- const uint64_t product43 = Word_4(a) * Word_3(b);
- const uint64_t product44 = Word_4(a) * Word_4(b);
-
- const __uint128_t sum0 = (__uint128_t)product44;
- const __uint128_t sum1 = (__uint128_t)product34 +
- (__uint128_t)product43;
- const __uint128_t sum2 = (__uint128_t)product24 +
- (__uint128_t)product33 +
- (__uint128_t)product42;
- const __uint128_t sum3 = (__uint128_t)product14 +
- (__uint128_t)product23 +
- (__uint128_t)product32 +
- (__uint128_t)product41;
- const __uint128_t sum4 = (__uint128_t)product13 +
- (__uint128_t)product22 +
- (__uint128_t)product31;
- const __uint128_t sum5 = (__uint128_t)product12 +
- (__uint128_t)product21;
- const __uint128_t sum6 = (__uint128_t)product11;
-
- const __uint128_t r0 = (sum0 & Word_FullMask) +
- ((sum1 & Word_LoMask) << 32);
- const __uint128_t r1 = (sum0 >> 64) +
- ((sum1 >> 32) & Word_FullMask) +
- (sum2 & Word_FullMask) +
- ((sum3 << 32) & Word_HiMask);
-
- *lo = r0 + (r1 << 64);
- *hi = (r1 >> 64) +
- (sum1 >> 96) +
- (sum2 >> 64) +
- (sum3 >> 32) +
- sum4 +
- (sum5 << 32) +
- (sum6 << 64);
-}
-#undef Word_1
-#undef Word_2
-#undef Word_3
-#undef Word_4
-#undef Word_HiMask
-#undef Word_LoMask
-#undef Word_FullMask
-#endif // __LDBL_MANT_DIG__ == 113
-#else
-#error SINGLE_PRECISION, DOUBLE_PRECISION or QUAD_PRECISION must be defined.
-#endif
-
-#if defined(SINGLE_PRECISION) || defined(DOUBLE_PRECISION) || defined(CRT_LDBL_128BIT)
-#define typeWidth (sizeof(rep_t)*CHAR_BIT)
-#define exponentBits (typeWidth - significandBits - 1)
-#define maxExponent ((1 << exponentBits) - 1)
-#define exponentBias (maxExponent >> 1)
-
-#define implicitBit (REP_C(1) << significandBits)
-#define significandMask (implicitBit - 1U)
-#define signBit (REP_C(1) << (significandBits + exponentBits))
-#define absMask (signBit - 1U)
-#define exponentMask (absMask ^ significandMask)
-#define oneRep ((rep_t)exponentBias << significandBits)
-#define infRep exponentMask
-#define quietBit (implicitBit >> 1)
-#define qnanRep (exponentMask | quietBit)
-
-static inline rep_t toRep(fp_t x) {
- const union { fp_t f; rep_t i; } rep = {.f = x};
- return rep.i;
-}
-
-static inline fp_t fromRep(rep_t x) {
- const union { fp_t f; rep_t i; } rep = {.i = x};
- return rep.f;
-}
-
-static inline int normalize(rep_t *significand) {
- const int shift = rep_clz(*significand) - rep_clz(implicitBit);
- *significand <<= shift;
- return 1 - shift;
-}
-
-static inline void wideLeftShift(rep_t *hi, rep_t *lo, int count) {
- *hi = *hi << count | *lo >> (typeWidth - count);
- *lo = *lo << count;
-}
-
-static inline void wideRightShiftWithSticky(rep_t *hi, rep_t *lo, unsigned int count) {
- if (count < typeWidth) {
- const bool sticky = *lo << (typeWidth - count);
- *lo = *hi << (typeWidth - count) | *lo >> count | sticky;
- *hi = *hi >> count;
- }
- else if (count < 2*typeWidth) {
- const bool sticky = *hi << (2*typeWidth - count) | *lo;
- *lo = *hi >> (count - typeWidth) | sticky;
- *hi = 0;
- } else {
- const bool sticky = *hi | *lo;
- *lo = sticky;
- *hi = 0;
- }
-}
-#endif
-
-#endif // FP_LIB_HEADER