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