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Diffstat (limited to 'deps/node/deps/icu-small/source/i18n/double-conversion-strtod.cpp')
-rw-r--r-- | deps/node/deps/icu-small/source/i18n/double-conversion-strtod.cpp | 574 |
1 files changed, 0 insertions, 574 deletions
diff --git a/deps/node/deps/icu-small/source/i18n/double-conversion-strtod.cpp b/deps/node/deps/icu-small/source/i18n/double-conversion-strtod.cpp deleted file mode 100644 index be9b0b3b..00000000 --- a/deps/node/deps/icu-small/source/i18n/double-conversion-strtod.cpp +++ /dev/null @@ -1,574 +0,0 @@ -// © 2018 and later: Unicode, Inc. and others. -// License & terms of use: http://www.unicode.org/copyright.html -// -// From the double-conversion library. Original license: -// -// Copyright 2010 the V8 project authors. All rights reserved. -// Redistribution and use in source and binary forms, with or without -// modification, are permitted provided that the following conditions are -// met: -// -// * Redistributions of source code must retain the above copyright -// notice, this list of conditions and the following disclaimer. -// * 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. -// * Neither the name of Google Inc. 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 -// OWNER 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. - -// ICU PATCH: ifdef around UCONFIG_NO_FORMATTING -#include "unicode/utypes.h" -#if !UCONFIG_NO_FORMATTING - -#include <stdarg.h> -#include <limits.h> - -// ICU PATCH: Customize header file paths for ICU. -// The file fixed-dtoa.h is not needed. - -#include "double-conversion-strtod.h" -#include "double-conversion-bignum.h" -#include "double-conversion-cached-powers.h" -#include "double-conversion-ieee.h" - -// ICU PATCH: Wrap in ICU namespace -U_NAMESPACE_BEGIN - -namespace double_conversion { - -// 2^53 = 9007199254740992. -// Any integer with at most 15 decimal digits will hence fit into a double -// (which has a 53bit significand) without loss of precision. -static const int kMaxExactDoubleIntegerDecimalDigits = 15; -// 2^64 = 18446744073709551616 > 10^19 -static const int kMaxUint64DecimalDigits = 19; - -// Max double: 1.7976931348623157 x 10^308 -// Min non-zero double: 4.9406564584124654 x 10^-324 -// Any x >= 10^309 is interpreted as +infinity. -// Any x <= 10^-324 is interpreted as 0. -// Note that 2.5e-324 (despite being smaller than the min double) will be read -// as non-zero (equal to the min non-zero double). -static const int kMaxDecimalPower = 309; -static const int kMinDecimalPower = -324; - -// 2^64 = 18446744073709551616 -static const uint64_t kMaxUint64 = UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF); - - -static const double exact_powers_of_ten[] = { - 1.0, // 10^0 - 10.0, - 100.0, - 1000.0, - 10000.0, - 100000.0, - 1000000.0, - 10000000.0, - 100000000.0, - 1000000000.0, - 10000000000.0, // 10^10 - 100000000000.0, - 1000000000000.0, - 10000000000000.0, - 100000000000000.0, - 1000000000000000.0, - 10000000000000000.0, - 100000000000000000.0, - 1000000000000000000.0, - 10000000000000000000.0, - 100000000000000000000.0, // 10^20 - 1000000000000000000000.0, - // 10^22 = 0x21e19e0c9bab2400000 = 0x878678326eac9 * 2^22 - 10000000000000000000000.0 -}; -static const int kExactPowersOfTenSize = ARRAY_SIZE(exact_powers_of_ten); - -// Maximum number of significant digits in the decimal representation. -// In fact the value is 772 (see conversions.cc), but to give us some margin -// we round up to 780. -static const int kMaxSignificantDecimalDigits = 780; - -static Vector<const char> TrimLeadingZeros(Vector<const char> buffer) { - for (int i = 0; i < buffer.length(); i++) { - if (buffer[i] != '0') { - return buffer.SubVector(i, buffer.length()); - } - } - return Vector<const char>(buffer.start(), 0); -} - - -static Vector<const char> TrimTrailingZeros(Vector<const char> buffer) { - for (int i = buffer.length() - 1; i >= 0; --i) { - if (buffer[i] != '0') { - return buffer.SubVector(0, i + 1); - } - } - return Vector<const char>(buffer.start(), 0); -} - - -static void CutToMaxSignificantDigits(Vector<const char> buffer, - int exponent, - char* significant_buffer, - int* significant_exponent) { - for (int i = 0; i < kMaxSignificantDecimalDigits - 1; ++i) { - significant_buffer[i] = buffer[i]; - } - // The input buffer has been trimmed. Therefore the last digit must be - // different from '0'. - ASSERT(buffer[buffer.length() - 1] != '0'); - // Set the last digit to be non-zero. This is sufficient to guarantee - // correct rounding. - significant_buffer[kMaxSignificantDecimalDigits - 1] = '1'; - *significant_exponent = - exponent + (buffer.length() - kMaxSignificantDecimalDigits); -} - - -// Trims the buffer and cuts it to at most kMaxSignificantDecimalDigits. -// If possible the input-buffer is reused, but if the buffer needs to be -// modified (due to cutting), then the input needs to be copied into the -// buffer_copy_space. -static void TrimAndCut(Vector<const char> buffer, int exponent, - char* buffer_copy_space, int space_size, - Vector<const char>* trimmed, int* updated_exponent) { - Vector<const char> left_trimmed = TrimLeadingZeros(buffer); - Vector<const char> right_trimmed = TrimTrailingZeros(left_trimmed); - exponent += left_trimmed.length() - right_trimmed.length(); - if (right_trimmed.length() > kMaxSignificantDecimalDigits) { - (void) space_size; // Mark variable as used. - ASSERT(space_size >= kMaxSignificantDecimalDigits); - CutToMaxSignificantDigits(right_trimmed, exponent, - buffer_copy_space, updated_exponent); - *trimmed = Vector<const char>(buffer_copy_space, - kMaxSignificantDecimalDigits); - } else { - *trimmed = right_trimmed; - *updated_exponent = exponent; - } -} - - -// Reads digits from the buffer and converts them to a uint64. -// Reads in as many digits as fit into a uint64. -// When the string starts with "1844674407370955161" no further digit is read. -// Since 2^64 = 18446744073709551616 it would still be possible read another -// digit if it was less or equal than 6, but this would complicate the code. -static uint64_t ReadUint64(Vector<const char> buffer, - int* number_of_read_digits) { - uint64_t result = 0; - int i = 0; - while (i < buffer.length() && result <= (kMaxUint64 / 10 - 1)) { - int digit = buffer[i++] - '0'; - ASSERT(0 <= digit && digit <= 9); - result = 10 * result + digit; - } - *number_of_read_digits = i; - return result; -} - - -// Reads a DiyFp from the buffer. -// The returned DiyFp is not necessarily normalized. -// If remaining_decimals is zero then the returned DiyFp is accurate. -// Otherwise it has been rounded and has error of at most 1/2 ulp. -static void ReadDiyFp(Vector<const char> buffer, - DiyFp* result, - int* remaining_decimals) { - int read_digits; - uint64_t significand = ReadUint64(buffer, &read_digits); - if (buffer.length() == read_digits) { - *result = DiyFp(significand, 0); - *remaining_decimals = 0; - } else { - // Round the significand. - if (buffer[read_digits] >= '5') { - significand++; - } - // Compute the binary exponent. - int exponent = 0; - *result = DiyFp(significand, exponent); - *remaining_decimals = buffer.length() - read_digits; - } -} - - -static bool DoubleStrtod(Vector<const char> trimmed, - int exponent, - double* result) { -#if !defined(DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS) - // On x86 the floating-point stack can be 64 or 80 bits wide. If it is - // 80 bits wide (as is the case on Linux) then double-rounding occurs and the - // result is not accurate. - // We know that Windows32 uses 64 bits and is therefore accurate. - // Note that the ARM simulator is compiled for 32bits. It therefore exhibits - // the same problem. - return false; -#endif - if (trimmed.length() <= kMaxExactDoubleIntegerDecimalDigits) { - int read_digits; - // The trimmed input fits into a double. - // If the 10^exponent (resp. 10^-exponent) fits into a double too then we - // can compute the result-double simply by multiplying (resp. dividing) the - // two numbers. - // This is possible because IEEE guarantees that floating-point operations - // return the best possible approximation. - if (exponent < 0 && -exponent < kExactPowersOfTenSize) { - // 10^-exponent fits into a double. - *result = static_cast<double>(ReadUint64(trimmed, &read_digits)); - ASSERT(read_digits == trimmed.length()); - *result /= exact_powers_of_ten[-exponent]; - return true; - } - if (0 <= exponent && exponent < kExactPowersOfTenSize) { - // 10^exponent fits into a double. - *result = static_cast<double>(ReadUint64(trimmed, &read_digits)); - ASSERT(read_digits == trimmed.length()); - *result *= exact_powers_of_ten[exponent]; - return true; - } - int remaining_digits = - kMaxExactDoubleIntegerDecimalDigits - trimmed.length(); - if ((0 <= exponent) && - (exponent - remaining_digits < kExactPowersOfTenSize)) { - // The trimmed string was short and we can multiply it with - // 10^remaining_digits. As a result the remaining exponent now fits - // into a double too. - *result = static_cast<double>(ReadUint64(trimmed, &read_digits)); - ASSERT(read_digits == trimmed.length()); - *result *= exact_powers_of_ten[remaining_digits]; - *result *= exact_powers_of_ten[exponent - remaining_digits]; - return true; - } - } - return false; -} - - -// Returns 10^exponent as an exact DiyFp. -// The given exponent must be in the range [1; kDecimalExponentDistance[. -static DiyFp AdjustmentPowerOfTen(int exponent) { - ASSERT(0 < exponent); - ASSERT(exponent < PowersOfTenCache::kDecimalExponentDistance); - // Simply hardcode the remaining powers for the given decimal exponent - // distance. - ASSERT(PowersOfTenCache::kDecimalExponentDistance == 8); - switch (exponent) { - case 1: return DiyFp(UINT64_2PART_C(0xa0000000, 00000000), -60); - case 2: return DiyFp(UINT64_2PART_C(0xc8000000, 00000000), -57); - case 3: return DiyFp(UINT64_2PART_C(0xfa000000, 00000000), -54); - case 4: return DiyFp(UINT64_2PART_C(0x9c400000, 00000000), -50); - case 5: return DiyFp(UINT64_2PART_C(0xc3500000, 00000000), -47); - case 6: return DiyFp(UINT64_2PART_C(0xf4240000, 00000000), -44); - case 7: return DiyFp(UINT64_2PART_C(0x98968000, 00000000), -40); - default: - UNREACHABLE(); - } -} - - -// If the function returns true then the result is the correct double. -// Otherwise it is either the correct double or the double that is just below -// the correct double. -static bool DiyFpStrtod(Vector<const char> buffer, - int exponent, - double* result) { - DiyFp input; - int remaining_decimals; - ReadDiyFp(buffer, &input, &remaining_decimals); - // Since we may have dropped some digits the input is not accurate. - // If remaining_decimals is different than 0 than the error is at most - // .5 ulp (unit in the last place). - // We don't want to deal with fractions and therefore keep a common - // denominator. - const int kDenominatorLog = 3; - const int kDenominator = 1 << kDenominatorLog; - // Move the remaining decimals into the exponent. - exponent += remaining_decimals; - uint64_t error = (remaining_decimals == 0 ? 0 : kDenominator / 2); - - int old_e = input.e(); - input.Normalize(); - error <<= old_e - input.e(); - - ASSERT(exponent <= PowersOfTenCache::kMaxDecimalExponent); - if (exponent < PowersOfTenCache::kMinDecimalExponent) { - *result = 0.0; - return true; - } - DiyFp cached_power; - int cached_decimal_exponent; - PowersOfTenCache::GetCachedPowerForDecimalExponent(exponent, - &cached_power, - &cached_decimal_exponent); - - if (cached_decimal_exponent != exponent) { - int adjustment_exponent = exponent - cached_decimal_exponent; - DiyFp adjustment_power = AdjustmentPowerOfTen(adjustment_exponent); - input.Multiply(adjustment_power); - if (kMaxUint64DecimalDigits - buffer.length() >= adjustment_exponent) { - // The product of input with the adjustment power fits into a 64 bit - // integer. - ASSERT(DiyFp::kSignificandSize == 64); - } else { - // The adjustment power is exact. There is hence only an error of 0.5. - error += kDenominator / 2; - } - } - - input.Multiply(cached_power); - // The error introduced by a multiplication of a*b equals - // error_a + error_b + error_a*error_b/2^64 + 0.5 - // Substituting a with 'input' and b with 'cached_power' we have - // error_b = 0.5 (all cached powers have an error of less than 0.5 ulp), - // error_ab = 0 or 1 / kDenominator > error_a*error_b/ 2^64 - int error_b = kDenominator / 2; - int error_ab = (error == 0 ? 0 : 1); // We round up to 1. - int fixed_error = kDenominator / 2; - error += error_b + error_ab + fixed_error; - - old_e = input.e(); - input.Normalize(); - error <<= old_e - input.e(); - - // See if the double's significand changes if we add/subtract the error. - int order_of_magnitude = DiyFp::kSignificandSize + input.e(); - int effective_significand_size = - Double::SignificandSizeForOrderOfMagnitude(order_of_magnitude); - int precision_digits_count = - DiyFp::kSignificandSize - effective_significand_size; - if (precision_digits_count + kDenominatorLog >= DiyFp::kSignificandSize) { - // This can only happen for very small denormals. In this case the - // half-way multiplied by the denominator exceeds the range of an uint64. - // Simply shift everything to the right. - int shift_amount = (precision_digits_count + kDenominatorLog) - - DiyFp::kSignificandSize + 1; - input.set_f(input.f() >> shift_amount); - input.set_e(input.e() + shift_amount); - // We add 1 for the lost precision of error, and kDenominator for - // the lost precision of input.f(). - error = (error >> shift_amount) + 1 + kDenominator; - precision_digits_count -= shift_amount; - } - // We use uint64_ts now. This only works if the DiyFp uses uint64_ts too. - ASSERT(DiyFp::kSignificandSize == 64); - ASSERT(precision_digits_count < 64); - uint64_t one64 = 1; - uint64_t precision_bits_mask = (one64 << precision_digits_count) - 1; - uint64_t precision_bits = input.f() & precision_bits_mask; - uint64_t half_way = one64 << (precision_digits_count - 1); - precision_bits *= kDenominator; - half_way *= kDenominator; - DiyFp rounded_input(input.f() >> precision_digits_count, - input.e() + precision_digits_count); - if (precision_bits >= half_way + error) { - rounded_input.set_f(rounded_input.f() + 1); - } - // If the last_bits are too close to the half-way case than we are too - // inaccurate and round down. In this case we return false so that we can - // fall back to a more precise algorithm. - - *result = Double(rounded_input).value(); - if (half_way - error < precision_bits && precision_bits < half_way + error) { - // Too imprecise. The caller will have to fall back to a slower version. - // However the returned number is guaranteed to be either the correct - // double, or the next-lower double. - return false; - } else { - return true; - } -} - - -// Returns -// - -1 if buffer*10^exponent < diy_fp. -// - 0 if buffer*10^exponent == diy_fp. -// - +1 if buffer*10^exponent > diy_fp. -// Preconditions: -// buffer.length() + exponent <= kMaxDecimalPower + 1 -// buffer.length() + exponent > kMinDecimalPower -// buffer.length() <= kMaxDecimalSignificantDigits -static int CompareBufferWithDiyFp(Vector<const char> buffer, - int exponent, - DiyFp diy_fp) { - ASSERT(buffer.length() + exponent <= kMaxDecimalPower + 1); - ASSERT(buffer.length() + exponent > kMinDecimalPower); - ASSERT(buffer.length() <= kMaxSignificantDecimalDigits); - // Make sure that the Bignum will be able to hold all our numbers. - // Our Bignum implementation has a separate field for exponents. Shifts will - // consume at most one bigit (< 64 bits). - // ln(10) == 3.3219... - ASSERT(((kMaxDecimalPower + 1) * 333 / 100) < Bignum::kMaxSignificantBits); - Bignum buffer_bignum; - Bignum diy_fp_bignum; - buffer_bignum.AssignDecimalString(buffer); - diy_fp_bignum.AssignUInt64(diy_fp.f()); - if (exponent >= 0) { - buffer_bignum.MultiplyByPowerOfTen(exponent); - } else { - diy_fp_bignum.MultiplyByPowerOfTen(-exponent); - } - if (diy_fp.e() > 0) { - diy_fp_bignum.ShiftLeft(diy_fp.e()); - } else { - buffer_bignum.ShiftLeft(-diy_fp.e()); - } - return Bignum::Compare(buffer_bignum, diy_fp_bignum); -} - - -// Returns true if the guess is the correct double. -// Returns false, when guess is either correct or the next-lower double. -static bool ComputeGuess(Vector<const char> trimmed, int exponent, - double* guess) { - if (trimmed.length() == 0) { - *guess = 0.0; - return true; - } - if (exponent + trimmed.length() - 1 >= kMaxDecimalPower) { - *guess = Double::Infinity(); - return true; - } - if (exponent + trimmed.length() <= kMinDecimalPower) { - *guess = 0.0; - return true; - } - - if (DoubleStrtod(trimmed, exponent, guess) || - DiyFpStrtod(trimmed, exponent, guess)) { - return true; - } - if (*guess == Double::Infinity()) { - return true; - } - return false; -} - -double Strtod(Vector<const char> buffer, int exponent) { - char copy_buffer[kMaxSignificantDecimalDigits]; - Vector<const char> trimmed; - int updated_exponent; - TrimAndCut(buffer, exponent, copy_buffer, kMaxSignificantDecimalDigits, - &trimmed, &updated_exponent); - exponent = updated_exponent; - - double guess; - bool is_correct = ComputeGuess(trimmed, exponent, &guess); - if (is_correct) return guess; - - DiyFp upper_boundary = Double(guess).UpperBoundary(); - int comparison = CompareBufferWithDiyFp(trimmed, exponent, upper_boundary); - if (comparison < 0) { - return guess; - } else if (comparison > 0) { - return Double(guess).NextDouble(); - } else if ((Double(guess).Significand() & 1) == 0) { - // Round towards even. - return guess; - } else { - return Double(guess).NextDouble(); - } -} - -float Strtof(Vector<const char> buffer, int exponent) { - char copy_buffer[kMaxSignificantDecimalDigits]; - Vector<const char> trimmed; - int updated_exponent; - TrimAndCut(buffer, exponent, copy_buffer, kMaxSignificantDecimalDigits, - &trimmed, &updated_exponent); - exponent = updated_exponent; - - double double_guess; - bool is_correct = ComputeGuess(trimmed, exponent, &double_guess); - - float float_guess = static_cast<float>(double_guess); - if (float_guess == double_guess) { - // This shortcut triggers for integer values. - return float_guess; - } - - // We must catch double-rounding. Say the double has been rounded up, and is - // now a boundary of a float, and rounds up again. This is why we have to - // look at previous too. - // Example (in decimal numbers): - // input: 12349 - // high-precision (4 digits): 1235 - // low-precision (3 digits): - // when read from input: 123 - // when rounded from high precision: 124. - // To do this we simply look at the neigbors of the correct result and see - // if they would round to the same float. If the guess is not correct we have - // to look at four values (since two different doubles could be the correct - // double). - - double double_next = Double(double_guess).NextDouble(); - double double_previous = Double(double_guess).PreviousDouble(); - - float f1 = static_cast<float>(double_previous); - float f2 = float_guess; - float f3 = static_cast<float>(double_next); - float f4; - if (is_correct) { - f4 = f3; - } else { - double double_next2 = Double(double_next).NextDouble(); - f4 = static_cast<float>(double_next2); - } - (void) f2; // Mark variable as used. - ASSERT(f1 <= f2 && f2 <= f3 && f3 <= f4); - - // If the guess doesn't lie near a single-precision boundary we can simply - // return its float-value. - if (f1 == f4) { - return float_guess; - } - - ASSERT((f1 != f2 && f2 == f3 && f3 == f4) || - (f1 == f2 && f2 != f3 && f3 == f4) || - (f1 == f2 && f2 == f3 && f3 != f4)); - - // guess and next are the two possible canditates (in the same way that - // double_guess was the lower candidate for a double-precision guess). - float guess = f1; - float next = f4; - DiyFp upper_boundary; - if (guess == 0.0f) { - float min_float = 1e-45f; - upper_boundary = Double(static_cast<double>(min_float) / 2).AsDiyFp(); - } else { - upper_boundary = Single(guess).UpperBoundary(); - } - int comparison = CompareBufferWithDiyFp(trimmed, exponent, upper_boundary); - if (comparison < 0) { - return guess; - } else if (comparison > 0) { - return next; - } else if ((Single(guess).Significand() & 1) == 0) { - // Round towards even. - return guess; - } else { - return next; - } -} - -} // namespace double_conversion - -// ICU PATCH: Close ICU namespace -U_NAMESPACE_END -#endif // ICU PATCH: close #if !UCONFIG_NO_FORMATTING |