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Diffstat (limited to 'external/rapidjson/internal/strtod.h')
m--------- | external/rapidjson | 0 | ||||
-rw-r--r-- | external/rapidjson/internal/strtod.h | 269 |
2 files changed, 0 insertions, 269 deletions
diff --git a/external/rapidjson b/external/rapidjson new file mode 160000 +Subproject af223d44f4e8d3772cb1ac0ce8bc2a132b51717 diff --git a/external/rapidjson/internal/strtod.h b/external/rapidjson/internal/strtod.h deleted file mode 100644 index 289c413b0..000000000 --- a/external/rapidjson/internal/strtod.h +++ /dev/null @@ -1,269 +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. - -#ifndef RAPIDJSON_STRTOD_ -#define RAPIDJSON_STRTOD_ - -#include "ieee754.h" -#include "biginteger.h" -#include "diyfp.h" -#include "pow10.h" - -RAPIDJSON_NAMESPACE_BEGIN -namespace internal { - -inline double FastPath(double significand, int exp) { - if (exp < -308) - return 0.0; - else if (exp >= 0) - return significand * internal::Pow10(exp); - else - return significand / internal::Pow10(-exp); -} - -inline double StrtodNormalPrecision(double d, int p) { - if (p < -308) { - // Prevent expSum < -308, making Pow10(p) = 0 - d = FastPath(d, -308); - d = FastPath(d, p + 308); - } - else - d = FastPath(d, p); - return d; -} - -template <typename T> -inline T Min3(T a, T b, T c) { - T m = a; - if (m > b) m = b; - if (m > c) m = c; - return m; -} - -inline int CheckWithinHalfULP(double b, const BigInteger& d, int dExp) { - const Double db(b); - const uint64_t bInt = db.IntegerSignificand(); - const int bExp = db.IntegerExponent(); - const int hExp = bExp - 1; - - int dS_Exp2 = 0, dS_Exp5 = 0, bS_Exp2 = 0, bS_Exp5 = 0, hS_Exp2 = 0, hS_Exp5 = 0; - - // Adjust for decimal exponent - if (dExp >= 0) { - dS_Exp2 += dExp; - dS_Exp5 += dExp; - } - else { - bS_Exp2 -= dExp; - bS_Exp5 -= dExp; - hS_Exp2 -= dExp; - hS_Exp5 -= dExp; - } - - // Adjust for binary exponent - if (bExp >= 0) - bS_Exp2 += bExp; - else { - dS_Exp2 -= bExp; - hS_Exp2 -= bExp; - } - - // Adjust for half ulp exponent - if (hExp >= 0) - hS_Exp2 += hExp; - else { - dS_Exp2 -= hExp; - bS_Exp2 -= hExp; - } - - // Remove common power of two factor from all three scaled values - int common_Exp2 = Min3(dS_Exp2, bS_Exp2, hS_Exp2); - dS_Exp2 -= common_Exp2; - bS_Exp2 -= common_Exp2; - hS_Exp2 -= common_Exp2; - - BigInteger dS = d; - dS.MultiplyPow5(static_cast<unsigned>(dS_Exp5)) <<= static_cast<unsigned>(dS_Exp2); - - BigInteger bS(bInt); - bS.MultiplyPow5(static_cast<unsigned>(bS_Exp5)) <<= static_cast<unsigned>(bS_Exp2); - - BigInteger hS(1); - hS.MultiplyPow5(static_cast<unsigned>(hS_Exp5)) <<= static_cast<unsigned>(hS_Exp2); - - BigInteger delta(0); - dS.Difference(bS, &delta); - - return delta.Compare(hS); -} - -inline bool StrtodFast(double d, int p, double* result) { - // Use fast path for string-to-double conversion if possible - // see http://www.exploringbinary.com/fast-path-decimal-to-floating-point-conversion/ - if (p > 22 && p < 22 + 16) { - // Fast Path Cases In Disguise - d *= internal::Pow10(p - 22); - p = 22; - } - - if (p >= -22 && p <= 22 && d <= 9007199254740991.0) { // 2^53 - 1 - *result = FastPath(d, p); - return true; - } - else - return false; -} - -// Compute an approximation and see if it is within 1/2 ULP -inline bool StrtodDiyFp(const char* decimals, size_t length, size_t decimalPosition, int exp, double* result) { - uint64_t significand = 0; - size_t i = 0; // 2^64 - 1 = 18446744073709551615, 1844674407370955161 = 0x1999999999999999 - for (; i < length; i++) { - if (significand > RAPIDJSON_UINT64_C2(0x19999999, 0x99999999) || - (significand == RAPIDJSON_UINT64_C2(0x19999999, 0x99999999) && decimals[i] > '5')) - break; - significand = significand * 10u + static_cast<unsigned>(decimals[i] - '0'); - } - - if (i < length && decimals[i] >= '5') // Rounding - significand++; - - size_t remaining = length - i; - const unsigned kUlpShift = 3; - const unsigned kUlp = 1 << kUlpShift; - int64_t error = (remaining == 0) ? 0 : kUlp / 2; - - DiyFp v(significand, 0); - v = v.Normalize(); - error <<= -v.e; - - const int dExp = static_cast<int>(decimalPosition) - static_cast<int>(i) + exp; - - int actualExp; - DiyFp cachedPower = GetCachedPower10(dExp, &actualExp); - if (actualExp != dExp) { - static const DiyFp kPow10[] = { - DiyFp(RAPIDJSON_UINT64_C2(0xa0000000, 00000000), -60), // 10^1 - DiyFp(RAPIDJSON_UINT64_C2(0xc8000000, 00000000), -57), // 10^2 - DiyFp(RAPIDJSON_UINT64_C2(0xfa000000, 00000000), -54), // 10^3 - DiyFp(RAPIDJSON_UINT64_C2(0x9c400000, 00000000), -50), // 10^4 - DiyFp(RAPIDJSON_UINT64_C2(0xc3500000, 00000000), -47), // 10^5 - DiyFp(RAPIDJSON_UINT64_C2(0xf4240000, 00000000), -44), // 10^6 - DiyFp(RAPIDJSON_UINT64_C2(0x98968000, 00000000), -40) // 10^7 - }; - int adjustment = dExp - actualExp - 1; - RAPIDJSON_ASSERT(adjustment >= 0 && adjustment < 7); - v = v * kPow10[adjustment]; - if (length + static_cast<unsigned>(adjustment)> 19u) // has more digits than decimal digits in 64-bit - error += kUlp / 2; - } - - v = v * cachedPower; - - error += kUlp + (error == 0 ? 0 : 1); - - const int oldExp = v.e; - v = v.Normalize(); - error <<= oldExp - v.e; - - const unsigned effectiveSignificandSize = Double::EffectiveSignificandSize(64 + v.e); - unsigned precisionSize = 64 - effectiveSignificandSize; - if (precisionSize + kUlpShift >= 64) { - unsigned scaleExp = (precisionSize + kUlpShift) - 63; - v.f >>= scaleExp; - v.e += scaleExp; - error = (error >> scaleExp) + 1 + static_cast<int>(kUlp); - precisionSize -= scaleExp; - } - - DiyFp rounded(v.f >> precisionSize, v.e + static_cast<int>(precisionSize)); - const uint64_t precisionBits = (v.f & ((uint64_t(1) << precisionSize) - 1)) * kUlp; - const uint64_t halfWay = (uint64_t(1) << (precisionSize - 1)) * kUlp; - if (precisionBits >= halfWay + static_cast<unsigned>(error)) { - rounded.f++; - if (rounded.f & (DiyFp::kDpHiddenBit << 1)) { // rounding overflows mantissa (issue #340) - rounded.f >>= 1; - rounded.e++; - } - } - - *result = rounded.ToDouble(); - - return halfWay - static_cast<unsigned>(error) >= precisionBits || precisionBits >= halfWay + static_cast<unsigned>(error); -} - -inline double StrtodBigInteger(double approx, const char* decimals, size_t length, size_t decimalPosition, int exp) { - const BigInteger dInt(decimals, length); - const int dExp = static_cast<int>(decimalPosition) - static_cast<int>(length) + exp; - Double a(approx); - int cmp = CheckWithinHalfULP(a.Value(), dInt, dExp); - if (cmp < 0) - return a.Value(); // within half ULP - else if (cmp == 0) { - // Round towards even - if (a.Significand() & 1) - return a.NextPositiveDouble(); - else - return a.Value(); - } - else // adjustment - return a.NextPositiveDouble(); -} - -inline double StrtodFullPrecision(double d, int p, const char* decimals, size_t length, size_t decimalPosition, int exp) { - RAPIDJSON_ASSERT(d >= 0.0); - RAPIDJSON_ASSERT(length >= 1); - - double result; - if (StrtodFast(d, p, &result)) - return result; - - // Trim leading zeros - while (*decimals == '0' && length > 1) { - length--; - decimals++; - decimalPosition--; - } - - // Trim trailing zeros - while (decimals[length - 1] == '0' && length > 1) { - length--; - decimalPosition--; - exp++; - } - - // Trim right-most digits - const int kMaxDecimalDigit = 780; - if (static_cast<int>(length) > kMaxDecimalDigit) { - int delta = (static_cast<int>(length) - kMaxDecimalDigit); - exp += delta; - decimalPosition -= static_cast<unsigned>(delta); - length = kMaxDecimalDigit; - } - - // If too small, underflow to zero - if (int(length) + exp < -324) - return 0.0; - - if (StrtodDiyFp(decimals, length, decimalPosition, exp, &result)) - return result; - - // Use approximation from StrtodDiyFp and make adjustment with BigInteger comparison - return StrtodBigInteger(result, decimals, length, decimalPosition, exp); -} - -} // namespace internal -RAPIDJSON_NAMESPACE_END - -#endif // RAPIDJSON_STRTOD_ |