diff options
author | Riccardo Spagni <ric@spagni.net> | 2014-12-01 21:25:41 +0200 |
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committer | Riccardo Spagni <ric@spagni.net> | 2014-12-01 21:25:54 +0200 |
commit | e1555fdf8b9e83c46857e2252494840916b69c22 (patch) | |
tree | 36f5f1191cb2ee7a18e7411880c09894709864fa /external/rapidjson/internal/dtoa.h | |
parent | Merge pull request #191 (diff) | |
parent | moved rapidjson to external folder, fixed CMake (diff) | |
download | monero-e1555fdf8b9e83c46857e2252494840916b69c22.tar.xz |
Merge pull request #192
affde29 moved rapidjson to external folder, fixed CMake (Riccardo Spagni)
f1eaf88 Prints seed after wallet upgrade. Removed iostream include. (Oran Juice)
70971be Doxygen comments (Oran Juice)
031ca23 Rewrites to old wallet file correctly (Oran Juice)
1f833dc Doxygen comments in (Oran Juice)
0bd88ff Writes seed language while generating wallet. Wallet open fix. (Oran Juice)
09a659e Stores seed language in wallet file. added rapidjson. Yet to test backward compatibility (Oran Juice)
Diffstat (limited to 'external/rapidjson/internal/dtoa.h')
-rw-r--r-- | external/rapidjson/internal/dtoa.h | 418 |
1 files changed, 418 insertions, 0 deletions
diff --git a/external/rapidjson/internal/dtoa.h b/external/rapidjson/internal/dtoa.h new file mode 100644 index 000000000..6ae588ac4 --- /dev/null +++ b/external/rapidjson/internal/dtoa.h @@ -0,0 +1,418 @@ +// Copyright (C) 2011 Milo Yip +// +// Permission is hereby granted, free of charge, to any person obtaining a copy +// of this software and associated documentation files (the "Software"), to deal +// in 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: +// +// The above copyright notice and this permission notice shall be included in +// all copies or substantial portions of the Software. +// +// 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 +// AUTHORS 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 IN +// THE SOFTWARE. + +// 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_DTOA_ +#define RAPIDJSON_DTOA_ + +#if defined(_MSC_VER) +#include <intrin.h> +#if defined(_M_AMD64) +#pragma intrinsic(_BitScanReverse64) +#endif +#endif + +#include "itoa.h" // GetDigitsLut() + +namespace rapidjson { +namespace internal { + +#ifdef __GNUC__ +RAPIDJSON_DIAG_PUSH +RAPIDJSON_DIAG_OFF(effc++) +#endif + +struct DiyFp { + DiyFp() {} + + DiyFp(uint64_t f, int e) : f(f), e(e) {} + + 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__) + unsigned __int128 p = static_cast<unsigned __int128>(f) * static_cast<unsigned __int128>(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__) + int s = __builtin_clzll(f); + return DiyFp(f << s, e - s); +#else + DiyFp res = *this; + while (!(res.f & kDpHiddenBit)) { + res.f <<= 1; + res.e--; + } + res.f <<= (kDiySignificandSize - kDpSignificandSize - 1); + res.e = res.e - (kDiySignificandSize - kDpSignificandSize - 1); + return res; +#endif + } + + DiyFp NormalizeBoundary() const { +#if defined(_MSC_VER) && defined(_M_AMD64) + unsigned long index; + _BitScanReverse64(&index, f); + return DiyFp (f << (63 - index), e - (63 - index)); +#else + 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; +#endif + } + + 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; + } + + static const int kDiySignificandSize = 64; + static const int kDpSignificandSize = 52; + static const int kDpExponentBias = 0x3FF + kDpSignificandSize; + static const int kDpMinExponent = -kDpExponentBias; + 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 GetCachedPower(int e, int* K) { + // 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 + }; + + //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 (k != dk) + k++; + + unsigned index = static_cast<unsigned>((k >> 3) + 1); + *K = -(-348 + static_cast<int>(index << 3)); // decimal exponent no need lookup table + + return DiyFp(kCachedPowers_F[index], kCachedPowers_E[index]); +} + +inline void GrisuRound(char* buffer, int len, uint64_t delta, uint64_t rest, uint64_t ten_kappa, uint64_t wp_w) { + while (rest < wp_w && delta - rest >= ten_kappa && + (rest + ten_kappa < wp_w || /// closer + wp_w - rest > rest + ten_kappa - wp_w)) { + buffer[len - 1]--; + rest += ten_kappa; + } +} + +inline unsigned CountDecimalDigit32(uint32_t n) { + // Simple pure C++ implementation was faster than __builtin_clz version in this situation. + if (n < 10) return 1; + if (n < 100) return 2; + if (n < 1000) return 3; + if (n < 10000) return 4; + if (n < 100000) return 5; + if (n < 1000000) return 6; + if (n < 10000000) return 7; + if (n < 100000000) return 8; + if (n < 1000000000) return 9; + return 10; +} + +inline void DigitGen(const DiyFp& W, const DiyFp& Mp, uint64_t delta, char* buffer, int* len, int* K) { + static const uint32_t kPow10[] = { 1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000 }; + const DiyFp one(uint64_t(1) << -Mp.e, Mp.e); + const DiyFp wp_w = Mp - W; + uint32_t p1 = static_cast<uint32_t>(Mp.f >> -one.e); + uint64_t p2 = Mp.f & (one.f - 1); + int kappa = CountDecimalDigit32(p1); + *len = 0; + + while (kappa > 0) { + uint32_t d; + switch (kappa) { + case 10: d = p1 / 1000000000; p1 %= 1000000000; break; + case 9: d = p1 / 100000000; p1 %= 100000000; break; + case 8: d = p1 / 10000000; p1 %= 10000000; break; + case 7: d = p1 / 1000000; p1 %= 1000000; break; + case 6: d = p1 / 100000; p1 %= 100000; break; + case 5: d = p1 / 10000; p1 %= 10000; break; + case 4: d = p1 / 1000; p1 %= 1000; break; + case 3: d = p1 / 100; p1 %= 100; break; + case 2: d = p1 / 10; p1 %= 10; break; + case 1: d = p1; p1 = 0; break; + default: +#if defined(_MSC_VER) + __assume(0); +#elif __GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 5) + __builtin_unreachable(); +#else + d = 0; +#endif + } + if (d || *len) + buffer[(*len)++] = static_cast<char>('0' + static_cast<char>(d)); + kappa--; + uint64_t tmp = (static_cast<uint64_t>(p1) << -one.e) + p2; + if (tmp <= delta) { + *K += kappa; + GrisuRound(buffer, *len, delta, tmp, static_cast<uint64_t>(kPow10[kappa]) << -one.e, wp_w.f); + return; + } + } + + // kappa = 0 + for (;;) { + p2 *= 10; + delta *= 10; + char d = static_cast<char>(p2 >> -one.e); + if (d || *len) + buffer[(*len)++] = static_cast<char>('0' + d); + p2 &= one.f - 1; + kappa--; + if (p2 < delta) { + *K += kappa; + GrisuRound(buffer, *len, delta, p2, one.f, wp_w.f * kPow10[-kappa]); + return; + } + } +} + +inline void Grisu2(double value, char* buffer, int* length, int* K) { + const DiyFp v(value); + DiyFp w_m, w_p; + v.NormalizedBoundaries(&w_m, &w_p); + + const DiyFp c_mk = GetCachedPower(w_p.e, K); + const DiyFp W = v.Normalize() * c_mk; + DiyFp Wp = w_p * c_mk; + DiyFp Wm = w_m * c_mk; + Wm.f++; + Wp.f--; + DigitGen(W, Wp, Wp.f - Wm.f, buffer, length, K); +} + +inline char* WriteExponent(int K, char* buffer) { + if (K < 0) { + *buffer++ = '-'; + K = -K; + } + + if (K >= 100) { + *buffer++ = static_cast<char>('0' + static_cast<char>(K / 100)); + K %= 100; + const char* d = GetDigitsLut() + K * 2; + *buffer++ = d[0]; + *buffer++ = d[1]; + } + else if (K >= 10) { + const char* d = GetDigitsLut() + K * 2; + *buffer++ = d[0]; + *buffer++ = d[1]; + } + else + *buffer++ = static_cast<char>('0' + static_cast<char>(K)); + + return buffer; +} + +inline char* Prettify(char* buffer, int length, int k) { + const int kk = length + k; // 10^(kk-1) <= v < 10^kk + + if (length <= kk && kk <= 21) { + // 1234e7 -> 12340000000 + for (int i = length; i < kk; i++) + buffer[i] = '0'; + buffer[kk] = '.'; + buffer[kk + 1] = '0'; + return &buffer[kk + 2]; + } + else if (0 < kk && kk <= 21) { + // 1234e-2 -> 12.34 + std::memmove(&buffer[kk + 1], &buffer[kk], length - kk); + buffer[kk] = '.'; + return &buffer[length + 1]; + } + else if (-6 < kk && kk <= 0) { + // 1234e-6 -> 0.001234 + const int offset = 2 - kk; + std::memmove(&buffer[offset], &buffer[0], length); + buffer[0] = '0'; + buffer[1] = '.'; + for (int i = 2; i < offset; i++) + buffer[i] = '0'; + return &buffer[length + offset]; + } + else if (length == 1) { + // 1e30 + buffer[1] = 'e'; + return WriteExponent(kk - 1, &buffer[2]); + } + else { + // 1234e30 -> 1.234e33 + std::memmove(&buffer[2], &buffer[1], length - 1); + buffer[1] = '.'; + buffer[length + 1] = 'e'; + return WriteExponent(kk - 1, &buffer[0 + length + 2]); + } +} + +inline char* dtoa(double value, char* buffer) { + if (value == 0) { + buffer[0] = '0'; + buffer[1] = '.'; + buffer[2] = '0'; + return &buffer[3]; + } + else { + if (value < 0) { + *buffer++ = '-'; + value = -value; + } + int length, K; + Grisu2(value, buffer, &length, &K); + return Prettify(buffer, length, K); + } +} + +#ifdef __GNUC__ +RAPIDJSON_DIAG_POP +#endif + +} // namespace internal +} // namespace rapidjson + +#endif // RAPIDJSON_DTOA_ |