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double-conversion-strtod.cpp (24127B)


      1 // © 2018 and later: Unicode, Inc. and others.
      2 // License & terms of use: http://www.unicode.org/copyright.html
      3 //
      4 // From the double-conversion library. Original license:
      5 //
      6 // Copyright 2010 the V8 project authors. All rights reserved.
      7 // Redistribution and use in source and binary forms, with or without
      8 // modification, are permitted provided that the following conditions are
      9 // met:
     10 //
     11 //     * Redistributions of source code must retain the above copyright
     12 //       notice, this list of conditions and the following disclaimer.
     13 //     * Redistributions in binary form must reproduce the above
     14 //       copyright notice, this list of conditions and the following
     15 //       disclaimer in the documentation and/or other materials provided
     16 //       with the distribution.
     17 //     * Neither the name of Google Inc. nor the names of its
     18 //       contributors may be used to endorse or promote products derived
     19 //       from this software without specific prior written permission.
     20 //
     21 // THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
     22 // "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
     23 // LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
     24 // A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
     25 // OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
     26 // SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
     27 // LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
     28 // DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
     29 // THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
     30 // (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
     31 // OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
     32 
     33 // ICU PATCH: ifdef around UCONFIG_NO_FORMATTING
     34 #include "unicode/utypes.h"
     35 #if !UCONFIG_NO_FORMATTING
     36 
     37 #include <climits>
     38 #include <cstdarg>
     39 
     40 // ICU PATCH: Customize header file paths for ICU.
     41 
     42 #include "double-conversion-bignum.h"
     43 #include "double-conversion-cached-powers.h"
     44 #include "double-conversion-ieee.h"
     45 #include "double-conversion-strtod.h"
     46 
     47 // ICU PATCH: Wrap in ICU namespace
     48 U_NAMESPACE_BEGIN
     49 
     50 namespace double_conversion {
     51 
     52 #if defined(DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS)
     53 // 2^53 = 9007199254740992.
     54 // Any integer with at most 15 decimal digits will hence fit into a double
     55 // (which has a 53bit significand) without loss of precision.
     56 static const int kMaxExactDoubleIntegerDecimalDigits = 15;
     57 #endif // #if defined(DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS)
     58 // 2^64 = 18446744073709551616 > 10^19
     59 static const int kMaxUint64DecimalDigits = 19;
     60 
     61 // Max double: 1.7976931348623157 x 10^308
     62 // Min non-zero double: 4.9406564584124654 x 10^-324
     63 // Any x >= 10^309 is interpreted as +infinity.
     64 // Any x <= 10^-324 is interpreted as 0.
     65 // Note that 2.5e-324 (despite being smaller than the min double) will be read
     66 // as non-zero (equal to the min non-zero double).
     67 static const int kMaxDecimalPower = 309;
     68 static const int kMinDecimalPower = -324;
     69 
     70 // 2^64 = 18446744073709551616
     71 static const uint64_t kMaxUint64 = DOUBLE_CONVERSION_UINT64_2PART_C(0xFFFFFFFF, FFFFFFFF);
     72 
     73 
     74 #if defined(DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS)
     75 static const double exact_powers_of_ten[] = {
     76  1.0,  // 10^0
     77  10.0,
     78  100.0,
     79  1000.0,
     80  10000.0,
     81  100000.0,
     82  1000000.0,
     83  10000000.0,
     84  100000000.0,
     85  1000000000.0,
     86  10000000000.0,  // 10^10
     87  100000000000.0,
     88  1000000000000.0,
     89  10000000000000.0,
     90  100000000000000.0,
     91  1000000000000000.0,
     92  10000000000000000.0,
     93  100000000000000000.0,
     94  1000000000000000000.0,
     95  10000000000000000000.0,
     96  100000000000000000000.0,  // 10^20
     97  1000000000000000000000.0,
     98  // 10^22 = 0x21e19e0c9bab2400000 = 0x878678326eac9 * 2^22
     99  10000000000000000000000.0
    100 };
    101 static const int kExactPowersOfTenSize = DOUBLE_CONVERSION_ARRAY_SIZE(exact_powers_of_ten);
    102 #endif // #if defined(DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS)
    103 
    104 // Maximum number of significant digits in the decimal representation.
    105 // In fact the value is 772 (see conversions.cc), but to give us some margin
    106 // we round up to 780.
    107 static const int kMaxSignificantDecimalDigits = 780;
    108 
    109 static Vector<const char> TrimLeadingZeros(Vector<const char> buffer) {
    110  for (int i = 0; i < buffer.length(); i++) {
    111    if (buffer[i] != '0') {
    112      return buffer.SubVector(i, buffer.length());
    113    }
    114  }
    115  return Vector<const char>(buffer.start(), 0);
    116 }
    117 
    118 static void CutToMaxSignificantDigits(Vector<const char> buffer,
    119                                       int exponent,
    120                                       char* significant_buffer,
    121                                       int* significant_exponent) {
    122  for (int i = 0; i < kMaxSignificantDecimalDigits - 1; ++i) {
    123    significant_buffer[i] = buffer[i];
    124  }
    125  // The input buffer has been trimmed. Therefore the last digit must be
    126  // different from '0'.
    127  DOUBLE_CONVERSION_ASSERT(buffer[buffer.length() - 1] != '0');
    128  // Set the last digit to be non-zero. This is sufficient to guarantee
    129  // correct rounding.
    130  significant_buffer[kMaxSignificantDecimalDigits - 1] = '1';
    131  *significant_exponent =
    132      exponent + (buffer.length() - kMaxSignificantDecimalDigits);
    133 }
    134 
    135 
    136 // Trims the buffer and cuts it to at most kMaxSignificantDecimalDigits.
    137 // If possible the input-buffer is reused, but if the buffer needs to be
    138 // modified (due to cutting), then the input needs to be copied into the
    139 // buffer_copy_space.
    140 static void TrimAndCut(Vector<const char> buffer, int exponent,
    141                       char* buffer_copy_space, int space_size,
    142                       Vector<const char>* trimmed, int* updated_exponent) {
    143  Vector<const char> left_trimmed = TrimLeadingZeros(buffer);
    144  Vector<const char> right_trimmed = TrimTrailingZeros(left_trimmed);
    145  exponent += left_trimmed.length() - right_trimmed.length();
    146  if (right_trimmed.length() > kMaxSignificantDecimalDigits) {
    147    (void) space_size;  // Mark variable as used.
    148    DOUBLE_CONVERSION_ASSERT(space_size >= kMaxSignificantDecimalDigits);
    149    CutToMaxSignificantDigits(right_trimmed, exponent,
    150                              buffer_copy_space, updated_exponent);
    151    *trimmed = Vector<const char>(buffer_copy_space,
    152                                 kMaxSignificantDecimalDigits);
    153  } else {
    154    *trimmed = right_trimmed;
    155    *updated_exponent = exponent;
    156  }
    157 }
    158 
    159 
    160 // Reads digits from the buffer and converts them to a uint64.
    161 // Reads in as many digits as fit into a uint64.
    162 // When the string starts with "1844674407370955161" no further digit is read.
    163 // Since 2^64 = 18446744073709551616 it would still be possible read another
    164 // digit if it was less or equal than 6, but this would complicate the code.
    165 static uint64_t ReadUint64(Vector<const char> buffer,
    166                           int* number_of_read_digits) {
    167  uint64_t result = 0;
    168  int i = 0;
    169  while (i < buffer.length() && result <= (kMaxUint64 / 10 - 1)) {
    170    int digit = buffer[i++] - '0';
    171    DOUBLE_CONVERSION_ASSERT(0 <= digit && digit <= 9);
    172    result = 10 * result + digit;
    173  }
    174  *number_of_read_digits = i;
    175  return result;
    176 }
    177 
    178 
    179 // Reads a DiyFp from the buffer.
    180 // The returned DiyFp is not necessarily normalized.
    181 // If remaining_decimals is zero then the returned DiyFp is accurate.
    182 // Otherwise it has been rounded and has error of at most 1/2 ulp.
    183 static void ReadDiyFp(Vector<const char> buffer,
    184                      DiyFp* result,
    185                      int* remaining_decimals) {
    186  int read_digits;
    187  uint64_t significand = ReadUint64(buffer, &read_digits);
    188  if (buffer.length() == read_digits) {
    189    *result = DiyFp(significand, 0);
    190    *remaining_decimals = 0;
    191  } else {
    192    // Round the significand.
    193    if (buffer[read_digits] >= '5') {
    194      significand++;
    195    }
    196    // Compute the binary exponent.
    197    int exponent = 0;
    198    *result = DiyFp(significand, exponent);
    199    *remaining_decimals = buffer.length() - read_digits;
    200  }
    201 }
    202 
    203 
    204 static bool DoubleStrtod(Vector<const char> trimmed,
    205                         int exponent,
    206                         double* result) {
    207 #if !defined(DOUBLE_CONVERSION_CORRECT_DOUBLE_OPERATIONS)
    208  // Avoid "unused parameter" warnings
    209  (void) trimmed;
    210  (void) exponent;
    211  (void) result;
    212  // On x86 the floating-point stack can be 64 or 80 bits wide. If it is
    213  // 80 bits wide (as is the case on Linux) then double-rounding occurs and the
    214  // result is not accurate.
    215  // We know that Windows32 uses 64 bits and is therefore accurate.
    216  return false;
    217 #else
    218  if (trimmed.length() <= kMaxExactDoubleIntegerDecimalDigits) {
    219    int read_digits;
    220    // The trimmed input fits into a double.
    221    // If the 10^exponent (resp. 10^-exponent) fits into a double too then we
    222    // can compute the result-double simply by multiplying (resp. dividing) the
    223    // two numbers.
    224    // This is possible because IEEE guarantees that floating-point operations
    225    // return the best possible approximation.
    226    if (exponent < 0 && -exponent < kExactPowersOfTenSize) {
    227      // 10^-exponent fits into a double.
    228      *result = static_cast<double>(ReadUint64(trimmed, &read_digits));
    229      DOUBLE_CONVERSION_ASSERT(read_digits == trimmed.length());
    230      *result /= exact_powers_of_ten[-exponent];
    231      return true;
    232    }
    233    if (0 <= exponent && exponent < kExactPowersOfTenSize) {
    234      // 10^exponent fits into a double.
    235      *result = static_cast<double>(ReadUint64(trimmed, &read_digits));
    236      DOUBLE_CONVERSION_ASSERT(read_digits == trimmed.length());
    237      *result *= exact_powers_of_ten[exponent];
    238      return true;
    239    }
    240    int remaining_digits =
    241        kMaxExactDoubleIntegerDecimalDigits - trimmed.length();
    242    if ((0 <= exponent) &&
    243        (exponent - remaining_digits < kExactPowersOfTenSize)) {
    244      // The trimmed string was short and we can multiply it with
    245      // 10^remaining_digits. As a result the remaining exponent now fits
    246      // into a double too.
    247      *result = static_cast<double>(ReadUint64(trimmed, &read_digits));
    248      DOUBLE_CONVERSION_ASSERT(read_digits == trimmed.length());
    249      *result *= exact_powers_of_ten[remaining_digits];
    250      *result *= exact_powers_of_ten[exponent - remaining_digits];
    251      return true;
    252    }
    253  }
    254  return false;
    255 #endif
    256 }
    257 
    258 
    259 // Returns 10^exponent as an exact DiyFp.
    260 // The given exponent must be in the range [1; kDecimalExponentDistance[.
    261 static DiyFp AdjustmentPowerOfTen(int exponent) {
    262  DOUBLE_CONVERSION_ASSERT(0 < exponent);
    263  DOUBLE_CONVERSION_ASSERT(exponent < PowersOfTenCache::kDecimalExponentDistance);
    264  // Simply hardcode the remaining powers for the given decimal exponent
    265  // distance.
    266  DOUBLE_CONVERSION_ASSERT(PowersOfTenCache::kDecimalExponentDistance == 8);
    267  switch (exponent) {
    268    case 1: return DiyFp(DOUBLE_CONVERSION_UINT64_2PART_C(0xa0000000, 00000000), -60);
    269    case 2: return DiyFp(DOUBLE_CONVERSION_UINT64_2PART_C(0xc8000000, 00000000), -57);
    270    case 3: return DiyFp(DOUBLE_CONVERSION_UINT64_2PART_C(0xfa000000, 00000000), -54);
    271    case 4: return DiyFp(DOUBLE_CONVERSION_UINT64_2PART_C(0x9c400000, 00000000), -50);
    272    case 5: return DiyFp(DOUBLE_CONVERSION_UINT64_2PART_C(0xc3500000, 00000000), -47);
    273    case 6: return DiyFp(DOUBLE_CONVERSION_UINT64_2PART_C(0xf4240000, 00000000), -44);
    274    case 7: return DiyFp(DOUBLE_CONVERSION_UINT64_2PART_C(0x98968000, 00000000), -40);
    275    default:
    276      DOUBLE_CONVERSION_UNREACHABLE();
    277  }
    278 }
    279 
    280 
    281 // If the function returns true then the result is the correct double.
    282 // Otherwise it is either the correct double or the double that is just below
    283 // the correct double.
    284 static bool DiyFpStrtod(Vector<const char> buffer,
    285                        int exponent,
    286                        double* result) {
    287  DiyFp input;
    288  int remaining_decimals;
    289  ReadDiyFp(buffer, &input, &remaining_decimals);
    290  // Since we may have dropped some digits the input is not accurate.
    291  // If remaining_decimals is different than 0 than the error is at most
    292  // .5 ulp (unit in the last place).
    293  // We don't want to deal with fractions and therefore keep a common
    294  // denominator.
    295  const int kDenominatorLog = 3;
    296  const int kDenominator = 1 << kDenominatorLog;
    297  // Move the remaining decimals into the exponent.
    298  exponent += remaining_decimals;
    299  uint64_t error = (remaining_decimals == 0 ? 0 : kDenominator / 2);
    300 
    301  int old_e = input.e();
    302  input.Normalize();
    303  error <<= old_e - input.e();
    304 
    305  DOUBLE_CONVERSION_ASSERT(exponent <= PowersOfTenCache::kMaxDecimalExponent);
    306  if (exponent < PowersOfTenCache::kMinDecimalExponent) {
    307    *result = 0.0;
    308    return true;
    309  }
    310  DiyFp cached_power;
    311  int cached_decimal_exponent;
    312  PowersOfTenCache::GetCachedPowerForDecimalExponent(exponent,
    313                                                     &cached_power,
    314                                                     &cached_decimal_exponent);
    315 
    316  if (cached_decimal_exponent != exponent) {
    317    int adjustment_exponent = exponent - cached_decimal_exponent;
    318    DiyFp adjustment_power = AdjustmentPowerOfTen(adjustment_exponent);
    319    input.Multiply(adjustment_power);
    320    if (kMaxUint64DecimalDigits - buffer.length() >= adjustment_exponent) {
    321      // The product of input with the adjustment power fits into a 64 bit
    322      // integer.
    323      DOUBLE_CONVERSION_ASSERT(DiyFp::kSignificandSize == 64);
    324    } else {
    325      // The adjustment power is exact. There is hence only an error of 0.5.
    326      error += kDenominator / 2;
    327    }
    328  }
    329 
    330  input.Multiply(cached_power);
    331  // The error introduced by a multiplication of a*b equals
    332  //   error_a + error_b + error_a*error_b/2^64 + 0.5
    333  // Substituting a with 'input' and b with 'cached_power' we have
    334  //   error_b = 0.5  (all cached powers have an error of less than 0.5 ulp),
    335  //   error_ab = 0 or 1 / kDenominator > error_a*error_b/ 2^64
    336  int error_b = kDenominator / 2;
    337  int error_ab = (error == 0 ? 0 : 1);  // We round up to 1.
    338  int fixed_error = kDenominator / 2;
    339  error += error_b + error_ab + fixed_error;
    340 
    341  old_e = input.e();
    342  input.Normalize();
    343  error <<= old_e - input.e();
    344 
    345  // See if the double's significand changes if we add/subtract the error.
    346  int order_of_magnitude = DiyFp::kSignificandSize + input.e();
    347  int effective_significand_size =
    348      Double::SignificandSizeForOrderOfMagnitude(order_of_magnitude);
    349  int precision_digits_count =
    350      DiyFp::kSignificandSize - effective_significand_size;
    351  if (precision_digits_count + kDenominatorLog >= DiyFp::kSignificandSize) {
    352    // This can only happen for very small denormals. In this case the
    353    // half-way multiplied by the denominator exceeds the range of an uint64.
    354    // Simply shift everything to the right.
    355    int shift_amount = (precision_digits_count + kDenominatorLog) -
    356        DiyFp::kSignificandSize + 1;
    357    input.set_f(input.f() >> shift_amount);
    358    input.set_e(input.e() + shift_amount);
    359    // We add 1 for the lost precision of error, and kDenominator for
    360    // the lost precision of input.f().
    361    error = (error >> shift_amount) + 1 + kDenominator;
    362    precision_digits_count -= shift_amount;
    363  }
    364  // We use uint64_ts now. This only works if the DiyFp uses uint64_ts too.
    365  DOUBLE_CONVERSION_ASSERT(DiyFp::kSignificandSize == 64);
    366  DOUBLE_CONVERSION_ASSERT(precision_digits_count < 64);
    367  uint64_t one64 = 1;
    368  uint64_t precision_bits_mask = (one64 << precision_digits_count) - 1;
    369  uint64_t precision_bits = input.f() & precision_bits_mask;
    370  uint64_t half_way = one64 << (precision_digits_count - 1);
    371  precision_bits *= kDenominator;
    372  half_way *= kDenominator;
    373  DiyFp rounded_input(input.f() >> precision_digits_count,
    374                      input.e() + precision_digits_count);
    375  if (precision_bits >= half_way + error) {
    376    rounded_input.set_f(rounded_input.f() + 1);
    377  }
    378  // If the last_bits are too close to the half-way case than we are too
    379  // inaccurate and round down. In this case we return false so that we can
    380  // fall back to a more precise algorithm.
    381 
    382  *result = Double(rounded_input).value();
    383  if (half_way - error < precision_bits && precision_bits < half_way + error) {
    384    // Too imprecise. The caller will have to fall back to a slower version.
    385    // However the returned number is guaranteed to be either the correct
    386    // double, or the next-lower double.
    387    return false;
    388  } else {
    389    return true;
    390  }
    391 }
    392 
    393 
    394 // Returns
    395 //   - -1 if buffer*10^exponent < diy_fp.
    396 //   -  0 if buffer*10^exponent == diy_fp.
    397 //   - +1 if buffer*10^exponent > diy_fp.
    398 // Preconditions:
    399 //   buffer.length() + exponent <= kMaxDecimalPower + 1
    400 //   buffer.length() + exponent > kMinDecimalPower
    401 //   buffer.length() <= kMaxDecimalSignificantDigits
    402 static int CompareBufferWithDiyFp(Vector<const char> buffer,
    403                                  int exponent,
    404                                  DiyFp diy_fp) {
    405  DOUBLE_CONVERSION_ASSERT(buffer.length() + exponent <= kMaxDecimalPower + 1);
    406  DOUBLE_CONVERSION_ASSERT(buffer.length() + exponent > kMinDecimalPower);
    407  DOUBLE_CONVERSION_ASSERT(buffer.length() <= kMaxSignificantDecimalDigits);
    408  // Make sure that the Bignum will be able to hold all our numbers.
    409  // Our Bignum implementation has a separate field for exponents. Shifts will
    410  // consume at most one bigit (< 64 bits).
    411  // ln(10) == 3.3219...
    412  DOUBLE_CONVERSION_ASSERT(((kMaxDecimalPower + 1) * 333 / 100) < Bignum::kMaxSignificantBits);
    413  Bignum buffer_bignum;
    414  Bignum diy_fp_bignum;
    415  buffer_bignum.AssignDecimalString(buffer);
    416  diy_fp_bignum.AssignUInt64(diy_fp.f());
    417  if (exponent >= 0) {
    418    buffer_bignum.MultiplyByPowerOfTen(exponent);
    419  } else {
    420    diy_fp_bignum.MultiplyByPowerOfTen(-exponent);
    421  }
    422  if (diy_fp.e() > 0) {
    423    diy_fp_bignum.ShiftLeft(diy_fp.e());
    424  } else {
    425    buffer_bignum.ShiftLeft(-diy_fp.e());
    426  }
    427  return Bignum::Compare(buffer_bignum, diy_fp_bignum);
    428 }
    429 
    430 
    431 // Returns true if the guess is the correct double.
    432 // Returns false, when guess is either correct or the next-lower double.
    433 static bool ComputeGuess(Vector<const char> trimmed, int exponent,
    434                         double* guess) {
    435  if (trimmed.length() == 0) {
    436    *guess = 0.0;
    437    return true;
    438  }
    439  if (exponent + trimmed.length() - 1 >= kMaxDecimalPower) {
    440    *guess = Double::Infinity();
    441    return true;
    442  }
    443  if (exponent + trimmed.length() <= kMinDecimalPower) {
    444    *guess = 0.0;
    445    return true;
    446  }
    447 
    448  if (DoubleStrtod(trimmed, exponent, guess) ||
    449      DiyFpStrtod(trimmed, exponent, guess)) {
    450    return true;
    451  }
    452  if (*guess == Double::Infinity()) {
    453    return true;
    454  }
    455  return false;
    456 }
    457 
    458 #if U_DEBUG // needed for ICU only in debug mode
    459 static bool IsDigit(const char d) {
    460  return ('0' <= d) && (d <= '9');
    461 }
    462 
    463 static bool IsNonZeroDigit(const char d) {
    464  return ('1' <= d) && (d <= '9');
    465 }
    466 
    467 #ifdef __has_cpp_attribute
    468 #if __has_cpp_attribute(maybe_unused)
    469 [[maybe_unused]]
    470 #endif
    471 #endif
    472 static bool AssertTrimmedDigits(const Vector<const char>& buffer) {
    473  for(int i = 0; i < buffer.length(); ++i) {
    474    if(!IsDigit(buffer[i])) {
    475      return false;
    476    }
    477  }
    478  return (buffer.length() == 0) || (IsNonZeroDigit(buffer[0]) && IsNonZeroDigit(buffer[buffer.length()-1]));
    479 }
    480 #endif // needed for ICU only in debug mode
    481 
    482 double StrtodTrimmed(Vector<const char> trimmed, int exponent) {
    483  DOUBLE_CONVERSION_ASSERT(trimmed.length() <= kMaxSignificantDecimalDigits);
    484  DOUBLE_CONVERSION_ASSERT(AssertTrimmedDigits(trimmed));
    485  double guess;
    486  const bool is_correct = ComputeGuess(trimmed, exponent, &guess);
    487  if (is_correct) {
    488    return guess;
    489  }
    490  DiyFp upper_boundary = Double(guess).UpperBoundary();
    491  int comparison = CompareBufferWithDiyFp(trimmed, exponent, upper_boundary);
    492  if (comparison < 0) {
    493    return guess;
    494  } else if (comparison > 0) {
    495    return Double(guess).NextDouble();
    496  } else if ((Double(guess).Significand() & 1) == 0) {
    497    // Round towards even.
    498    return guess;
    499  } else {
    500    return Double(guess).NextDouble();
    501  }
    502 }
    503 
    504 double Strtod(Vector<const char> buffer, int exponent) {
    505  char copy_buffer[kMaxSignificantDecimalDigits];
    506  Vector<const char> trimmed;
    507  int updated_exponent;
    508  TrimAndCut(buffer, exponent, copy_buffer, kMaxSignificantDecimalDigits,
    509             &trimmed, &updated_exponent);
    510  return StrtodTrimmed(trimmed, updated_exponent);
    511 }
    512 
    513 static float SanitizedDoubletof(double d) {
    514  DOUBLE_CONVERSION_ASSERT(d >= 0.0);
    515  // ASAN has a sanitize check that disallows casting doubles to floats if
    516  // they are too big.
    517  // https://clang.llvm.org/docs/UndefinedBehaviorSanitizer.html#available-checks
    518  // The behavior should be covered by IEEE 754, but some projects use this
    519  // flag, so work around it.
    520  float max_finite = 3.4028234663852885981170418348451692544e+38;
    521  // The half-way point between the max-finite and infinity value.
    522  // Since infinity has an even significand everything equal or greater than
    523  // this value should become infinity.
    524  double half_max_finite_infinity =
    525      3.40282356779733661637539395458142568448e+38;
    526  if (d >= max_finite) {
    527    if (d >= half_max_finite_infinity) {
    528      return Single::Infinity();
    529    } else {
    530      return max_finite;
    531    }
    532  } else {
    533    return static_cast<float>(d);
    534  }
    535 }
    536 
    537 float Strtof(Vector<const char> buffer, int exponent) {
    538  char copy_buffer[kMaxSignificantDecimalDigits];
    539  Vector<const char> trimmed;
    540  int updated_exponent;
    541  TrimAndCut(buffer, exponent, copy_buffer, kMaxSignificantDecimalDigits,
    542             &trimmed, &updated_exponent);
    543  exponent = updated_exponent;
    544  return StrtofTrimmed(trimmed, exponent);
    545 }
    546 
    547 float StrtofTrimmed(Vector<const char> trimmed, int exponent) {
    548  DOUBLE_CONVERSION_ASSERT(trimmed.length() <= kMaxSignificantDecimalDigits);
    549  DOUBLE_CONVERSION_ASSERT(AssertTrimmedDigits(trimmed));
    550 
    551  double double_guess;
    552  bool is_correct = ComputeGuess(trimmed, exponent, &double_guess);
    553 
    554  float float_guess = SanitizedDoubletof(double_guess);
    555  if (float_guess == double_guess) {
    556    // This shortcut triggers for integer values.
    557    return float_guess;
    558  }
    559 
    560  // We must catch double-rounding. Say the double has been rounded up, and is
    561  // now a boundary of a float, and rounds up again. This is why we have to
    562  // look at previous too.
    563  // Example (in decimal numbers):
    564  //    input: 12349
    565  //    high-precision (4 digits): 1235
    566  //    low-precision (3 digits):
    567  //       when read from input: 123
    568  //       when rounded from high precision: 124.
    569  // To do this we simply look at the neighbors of the correct result and see
    570  // if they would round to the same float. If the guess is not correct we have
    571  // to look at four values (since two different doubles could be the correct
    572  // double).
    573 
    574  double double_next = Double(double_guess).NextDouble();
    575  double double_previous = Double(double_guess).PreviousDouble();
    576 
    577  float f1 = SanitizedDoubletof(double_previous);
    578  float f2 = float_guess;
    579  float f3 = SanitizedDoubletof(double_next);
    580  float f4;
    581  if (is_correct) {
    582    f4 = f3;
    583  } else {
    584    double double_next2 = Double(double_next).NextDouble();
    585    f4 = SanitizedDoubletof(double_next2);
    586  }
    587  (void) f2;  // Mark variable as used.
    588  DOUBLE_CONVERSION_ASSERT(f1 <= f2 && f2 <= f3 && f3 <= f4);
    589 
    590  // If the guess doesn't lie near a single-precision boundary we can simply
    591  // return its float-value.
    592  if (f1 == f4) {
    593    return float_guess;
    594  }
    595 
    596  DOUBLE_CONVERSION_ASSERT((f1 != f2 && f2 == f3 && f3 == f4) ||
    597         (f1 == f2 && f2 != f3 && f3 == f4) ||
    598         (f1 == f2 && f2 == f3 && f3 != f4));
    599 
    600  // guess and next are the two possible candidates (in the same way that
    601  // double_guess was the lower candidate for a double-precision guess).
    602  float guess = f1;
    603  float next = f4;
    604  DiyFp upper_boundary;
    605  if (guess == 0.0f) {
    606    float min_float = 1e-45f;
    607    upper_boundary = Double(static_cast<double>(min_float) / 2).AsDiyFp();
    608  } else {
    609    upper_boundary = Single(guess).UpperBoundary();
    610  }
    611  int comparison = CompareBufferWithDiyFp(trimmed, exponent, upper_boundary);
    612  if (comparison < 0) {
    613    return guess;
    614  } else if (comparison > 0) {
    615    return next;
    616  } else if ((Single(guess).Significand() & 1) == 0) {
    617    // Round towards even.
    618    return guess;
    619  } else {
    620    return next;
    621  }
    622 }
    623 
    624 }  // namespace double_conversion
    625 
    626 // ICU PATCH: Close ICU namespace
    627 U_NAMESPACE_END
    628 #endif // ICU PATCH: close #if !UCONFIG_NO_FORMATTING