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Diffstat (limited to 'NorthstarDLL/include/rapidjson/internal/diyfp.h')
-rw-r--r-- | NorthstarDLL/include/rapidjson/internal/diyfp.h | 258 |
1 files changed, 0 insertions, 258 deletions
diff --git a/NorthstarDLL/include/rapidjson/internal/diyfp.h b/NorthstarDLL/include/rapidjson/internal/diyfp.h deleted file mode 100644 index c9fefdc6..00000000 --- a/NorthstarDLL/include/rapidjson/internal/diyfp.h +++ /dev/null @@ -1,258 +0,0 @@ -// Tencent is pleased to support the open source community by making RapidJSON available. -// -// Copyright (C) 2015 THL A29 Limited, a Tencent company, and Milo Yip. All rights reserved. -// -// Licensed under the MIT License (the "License"); you may not use this file except -// in compliance with the License. You may obtain a copy of the License at -// -// http://opensource.org/licenses/MIT -// -// Unless required by applicable law or agreed to in writing, software distributed -// under the License is distributed on an "AS IS" BASIS, WITHOUT WARRANTIES OR -// CONDITIONS OF ANY KIND, either express or implied. See the License for the -// specific language governing permissions and limitations under the License. - -// This is a C++ header-only implementation of Grisu2 algorithm from the publication: -// Loitsch, Florian. "Printing floating-point numbers quickly and accurately with -// integers." ACM Sigplan Notices 45.6 (2010): 233-243. - -#ifndef RAPIDJSON_DIYFP_H_ -#define RAPIDJSON_DIYFP_H_ - -#include "../rapidjson.h" - -#if defined(_MSC_VER) && defined(_M_AMD64) -#include <intrin.h> -#pragma intrinsic(_BitScanReverse64) -#pragma intrinsic(_umul128) -#endif - -RAPIDJSON_NAMESPACE_BEGIN -namespace internal { - -#ifdef __GNUC__ -RAPIDJSON_DIAG_PUSH -RAPIDJSON_DIAG_OFF(effc++) -#endif - -#ifdef __clang__ -RAPIDJSON_DIAG_PUSH -RAPIDJSON_DIAG_OFF(padded) -#endif - -struct DiyFp { - DiyFp() : f(), e() {} - - DiyFp(uint64_t fp, int exp) : f(fp), e(exp) {} - - explicit DiyFp(double d) { - union { - double d; - uint64_t u64; - } u = { d }; - - int biased_e = static_cast<int>((u.u64 & kDpExponentMask) >> kDpSignificandSize); - uint64_t significand = (u.u64 & kDpSignificandMask); - if (biased_e != 0) { - f = significand + kDpHiddenBit; - e = biased_e - kDpExponentBias; - } - else { - f = significand; - e = kDpMinExponent + 1; - } - } - - DiyFp operator-(const DiyFp& rhs) const { - return DiyFp(f - rhs.f, e); - } - - DiyFp operator*(const DiyFp& rhs) const { -#if defined(_MSC_VER) && defined(_M_AMD64) - uint64_t h; - uint64_t l = _umul128(f, rhs.f, &h); - if (l & (uint64_t(1) << 63)) // rounding - h++; - return DiyFp(h, e + rhs.e + 64); -#elif (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6)) && defined(__x86_64__) - __extension__ typedef unsigned __int128 uint128; - uint128 p = static_cast<uint128>(f) * static_cast<uint128>(rhs.f); - uint64_t h = static_cast<uint64_t>(p >> 64); - uint64_t l = static_cast<uint64_t>(p); - if (l & (uint64_t(1) << 63)) // rounding - h++; - return DiyFp(h, e + rhs.e + 64); -#else - const uint64_t M32 = 0xFFFFFFFF; - const uint64_t a = f >> 32; - const uint64_t b = f & M32; - const uint64_t c = rhs.f >> 32; - const uint64_t d = rhs.f & M32; - const uint64_t ac = a * c; - const uint64_t bc = b * c; - const uint64_t ad = a * d; - const uint64_t bd = b * d; - uint64_t tmp = (bd >> 32) + (ad & M32) + (bc & M32); - tmp += 1U << 31; /// mult_round - return DiyFp(ac + (ad >> 32) + (bc >> 32) + (tmp >> 32), e + rhs.e + 64); -#endif - } - - DiyFp Normalize() const { -#if defined(_MSC_VER) && defined(_M_AMD64) - unsigned long index; - _BitScanReverse64(&index, f); - return DiyFp(f << (63 - index), e - (63 - index)); -#elif defined(__GNUC__) && __GNUC__ >= 4 - int s = __builtin_clzll(f); - return DiyFp(f << s, e - s); -#else - DiyFp res = *this; - while (!(res.f & (static_cast<uint64_t>(1) << 63))) { - res.f <<= 1; - res.e--; - } - return res; -#endif - } - - DiyFp NormalizeBoundary() const { - DiyFp res = *this; - while (!(res.f & (kDpHiddenBit << 1))) { - res.f <<= 1; - res.e--; - } - res.f <<= (kDiySignificandSize - kDpSignificandSize - 2); - res.e = res.e - (kDiySignificandSize - kDpSignificandSize - 2); - return res; - } - - void NormalizedBoundaries(DiyFp* minus, DiyFp* plus) const { - DiyFp pl = DiyFp((f << 1) + 1, e - 1).NormalizeBoundary(); - DiyFp mi = (f == kDpHiddenBit) ? DiyFp((f << 2) - 1, e - 2) : DiyFp((f << 1) - 1, e - 1); - mi.f <<= mi.e - pl.e; - mi.e = pl.e; - *plus = pl; - *minus = mi; - } - - double ToDouble() const { - union { - double d; - uint64_t u64; - }u; - const uint64_t be = (e == kDpDenormalExponent && (f & kDpHiddenBit) == 0) ? 0 : - static_cast<uint64_t>(e + kDpExponentBias); - u.u64 = (f & kDpSignificandMask) | (be << kDpSignificandSize); - return u.d; - } - - static const int kDiySignificandSize = 64; - static const int kDpSignificandSize = 52; - static const int kDpExponentBias = 0x3FF + kDpSignificandSize; - static const int kDpMaxExponent = 0x7FF - kDpExponentBias; - static const int kDpMinExponent = -kDpExponentBias; - static const int kDpDenormalExponent = -kDpExponentBias + 1; - static const uint64_t kDpExponentMask = RAPIDJSON_UINT64_C2(0x7FF00000, 0x00000000); - static const uint64_t kDpSignificandMask = RAPIDJSON_UINT64_C2(0x000FFFFF, 0xFFFFFFFF); - static const uint64_t kDpHiddenBit = RAPIDJSON_UINT64_C2(0x00100000, 0x00000000); - - uint64_t f; - int e; -}; - -inline DiyFp GetCachedPowerByIndex(size_t index) { - // 10^-348, 10^-340, ..., 10^340 - static const uint64_t kCachedPowers_F[] = { - RAPIDJSON_UINT64_C2(0xfa8fd5a0, 0x081c0288), RAPIDJSON_UINT64_C2(0xbaaee17f, 0xa23ebf76), - RAPIDJSON_UINT64_C2(0x8b16fb20, 0x3055ac76), RAPIDJSON_UINT64_C2(0xcf42894a, 0x5dce35ea), - RAPIDJSON_UINT64_C2(0x9a6bb0aa, 0x55653b2d), RAPIDJSON_UINT64_C2(0xe61acf03, 0x3d1a45df), - RAPIDJSON_UINT64_C2(0xab70fe17, 0xc79ac6ca), RAPIDJSON_UINT64_C2(0xff77b1fc, 0xbebcdc4f), - RAPIDJSON_UINT64_C2(0xbe5691ef, 0x416bd60c), RAPIDJSON_UINT64_C2(0x8dd01fad, 0x907ffc3c), - RAPIDJSON_UINT64_C2(0xd3515c28, 0x31559a83), RAPIDJSON_UINT64_C2(0x9d71ac8f, 0xada6c9b5), - RAPIDJSON_UINT64_C2(0xea9c2277, 0x23ee8bcb), RAPIDJSON_UINT64_C2(0xaecc4991, 0x4078536d), - RAPIDJSON_UINT64_C2(0x823c1279, 0x5db6ce57), RAPIDJSON_UINT64_C2(0xc2109436, 0x4dfb5637), - RAPIDJSON_UINT64_C2(0x9096ea6f, 0x3848984f), RAPIDJSON_UINT64_C2(0xd77485cb, 0x25823ac7), - RAPIDJSON_UINT64_C2(0xa086cfcd, 0x97bf97f4), RAPIDJSON_UINT64_C2(0xef340a98, 0x172aace5), - RAPIDJSON_UINT64_C2(0xb23867fb, 0x2a35b28e), RAPIDJSON_UINT64_C2(0x84c8d4df, 0xd2c63f3b), - RAPIDJSON_UINT64_C2(0xc5dd4427, 0x1ad3cdba), RAPIDJSON_UINT64_C2(0x936b9fce, 0xbb25c996), - RAPIDJSON_UINT64_C2(0xdbac6c24, 0x7d62a584), RAPIDJSON_UINT64_C2(0xa3ab6658, 0x0d5fdaf6), - RAPIDJSON_UINT64_C2(0xf3e2f893, 0xdec3f126), RAPIDJSON_UINT64_C2(0xb5b5ada8, 0xaaff80b8), - RAPIDJSON_UINT64_C2(0x87625f05, 0x6c7c4a8b), RAPIDJSON_UINT64_C2(0xc9bcff60, 0x34c13053), - RAPIDJSON_UINT64_C2(0x964e858c, 0x91ba2655), RAPIDJSON_UINT64_C2(0xdff97724, 0x70297ebd), - RAPIDJSON_UINT64_C2(0xa6dfbd9f, 0xb8e5b88f), RAPIDJSON_UINT64_C2(0xf8a95fcf, 0x88747d94), - RAPIDJSON_UINT64_C2(0xb9447093, 0x8fa89bcf), RAPIDJSON_UINT64_C2(0x8a08f0f8, 0xbf0f156b), - RAPIDJSON_UINT64_C2(0xcdb02555, 0x653131b6), RAPIDJSON_UINT64_C2(0x993fe2c6, 0xd07b7fac), - RAPIDJSON_UINT64_C2(0xe45c10c4, 0x2a2b3b06), RAPIDJSON_UINT64_C2(0xaa242499, 0x697392d3), - RAPIDJSON_UINT64_C2(0xfd87b5f2, 0x8300ca0e), RAPIDJSON_UINT64_C2(0xbce50864, 0x92111aeb), - RAPIDJSON_UINT64_C2(0x8cbccc09, 0x6f5088cc), RAPIDJSON_UINT64_C2(0xd1b71758, 0xe219652c), - RAPIDJSON_UINT64_C2(0x9c400000, 0x00000000), RAPIDJSON_UINT64_C2(0xe8d4a510, 0x00000000), - RAPIDJSON_UINT64_C2(0xad78ebc5, 0xac620000), RAPIDJSON_UINT64_C2(0x813f3978, 0xf8940984), - RAPIDJSON_UINT64_C2(0xc097ce7b, 0xc90715b3), RAPIDJSON_UINT64_C2(0x8f7e32ce, 0x7bea5c70), - RAPIDJSON_UINT64_C2(0xd5d238a4, 0xabe98068), RAPIDJSON_UINT64_C2(0x9f4f2726, 0x179a2245), - RAPIDJSON_UINT64_C2(0xed63a231, 0xd4c4fb27), RAPIDJSON_UINT64_C2(0xb0de6538, 0x8cc8ada8), - RAPIDJSON_UINT64_C2(0x83c7088e, 0x1aab65db), RAPIDJSON_UINT64_C2(0xc45d1df9, 0x42711d9a), - RAPIDJSON_UINT64_C2(0x924d692c, 0xa61be758), RAPIDJSON_UINT64_C2(0xda01ee64, 0x1a708dea), - RAPIDJSON_UINT64_C2(0xa26da399, 0x9aef774a), RAPIDJSON_UINT64_C2(0xf209787b, 0xb47d6b85), - RAPIDJSON_UINT64_C2(0xb454e4a1, 0x79dd1877), RAPIDJSON_UINT64_C2(0x865b8692, 0x5b9bc5c2), - RAPIDJSON_UINT64_C2(0xc83553c5, 0xc8965d3d), RAPIDJSON_UINT64_C2(0x952ab45c, 0xfa97a0b3), - RAPIDJSON_UINT64_C2(0xde469fbd, 0x99a05fe3), RAPIDJSON_UINT64_C2(0xa59bc234, 0xdb398c25), - RAPIDJSON_UINT64_C2(0xf6c69a72, 0xa3989f5c), RAPIDJSON_UINT64_C2(0xb7dcbf53, 0x54e9bece), - RAPIDJSON_UINT64_C2(0x88fcf317, 0xf22241e2), RAPIDJSON_UINT64_C2(0xcc20ce9b, 0xd35c78a5), - RAPIDJSON_UINT64_C2(0x98165af3, 0x7b2153df), RAPIDJSON_UINT64_C2(0xe2a0b5dc, 0x971f303a), - RAPIDJSON_UINT64_C2(0xa8d9d153, 0x5ce3b396), RAPIDJSON_UINT64_C2(0xfb9b7cd9, 0xa4a7443c), - RAPIDJSON_UINT64_C2(0xbb764c4c, 0xa7a44410), RAPIDJSON_UINT64_C2(0x8bab8eef, 0xb6409c1a), - RAPIDJSON_UINT64_C2(0xd01fef10, 0xa657842c), RAPIDJSON_UINT64_C2(0x9b10a4e5, 0xe9913129), - RAPIDJSON_UINT64_C2(0xe7109bfb, 0xa19c0c9d), RAPIDJSON_UINT64_C2(0xac2820d9, 0x623bf429), - RAPIDJSON_UINT64_C2(0x80444b5e, 0x7aa7cf85), RAPIDJSON_UINT64_C2(0xbf21e440, 0x03acdd2d), - RAPIDJSON_UINT64_C2(0x8e679c2f, 0x5e44ff8f), RAPIDJSON_UINT64_C2(0xd433179d, 0x9c8cb841), - RAPIDJSON_UINT64_C2(0x9e19db92, 0xb4e31ba9), RAPIDJSON_UINT64_C2(0xeb96bf6e, 0xbadf77d9), - RAPIDJSON_UINT64_C2(0xaf87023b, 0x9bf0ee6b) - }; - static const int16_t kCachedPowers_E[] = { - -1220, -1193, -1166, -1140, -1113, -1087, -1060, -1034, -1007, -980, - -954, -927, -901, -874, -847, -821, -794, -768, -741, -715, - -688, -661, -635, -608, -582, -555, -529, -502, -475, -449, - -422, -396, -369, -343, -316, -289, -263, -236, -210, -183, - -157, -130, -103, -77, -50, -24, 3, 30, 56, 83, - 109, 136, 162, 189, 216, 242, 269, 295, 322, 348, - 375, 402, 428, 455, 481, 508, 534, 561, 588, 614, - 641, 667, 694, 720, 747, 774, 800, 827, 853, 880, - 907, 933, 960, 986, 1013, 1039, 1066 - }; - return DiyFp(kCachedPowers_F[index], kCachedPowers_E[index]); -} - -inline DiyFp GetCachedPower(int e, int* K) { - - //int k = static_cast<int>(ceil((-61 - e) * 0.30102999566398114)) + 374; - double dk = (-61 - e) * 0.30102999566398114 + 347; // dk must be positive, so can do ceiling in positive - int k = static_cast<int>(dk); - if (dk - k > 0.0) - k++; - - unsigned index = static_cast<unsigned>((k >> 3) + 1); - *K = -(-348 + static_cast<int>(index << 3)); // decimal exponent no need lookup table - - return GetCachedPowerByIndex(index); -} - -inline DiyFp GetCachedPower10(int exp, int *outExp) { - unsigned index = (static_cast<unsigned>(exp) + 348u) / 8u; - *outExp = -348 + static_cast<int>(index) * 8; - return GetCachedPowerByIndex(index); - } - -#ifdef __GNUC__ -RAPIDJSON_DIAG_POP -#endif - -#ifdef __clang__ -RAPIDJSON_DIAG_POP -RAPIDJSON_DIAG_OFF(padded) -#endif - -} // namespace internal -RAPIDJSON_NAMESPACE_END - -#endif // RAPIDJSON_DIYFP_H_ |