diff options
Diffstat (limited to 'examples/redis-unstable/deps/fast_float')
5 files changed, 3933 insertions, 0 deletions
diff --git a/examples/redis-unstable/deps/fast_float/Makefile b/examples/redis-unstable/deps/fast_float/Makefile new file mode 100644 index 0000000..e3acaa5 --- /dev/null +++ b/examples/redis-unstable/deps/fast_float/Makefile | |||
| @@ -0,0 +1,27 @@ | |||
| 1 | # Fallback to gcc/g++ when $CC or $CXX is not in $PATH. | ||
| 2 | CC ?= gcc | ||
| 3 | CXX ?= g++ | ||
| 4 | |||
| 5 | WARN=-Wall | ||
| 6 | OPT=-O3 | ||
| 7 | STD=-std=c++11 | ||
| 8 | DEFS=-DFASTFLOAT_ALLOWS_LEADING_PLUS | ||
| 9 | |||
| 10 | FASTFLOAT_CFLAGS=$(WARN) $(OPT) $(STD) $(DEFS) $(CFLAGS) | ||
| 11 | FASTFLOAT_LDFLAGS=$(LDFLAGS) | ||
| 12 | |||
| 13 | libfast_float: fast_float_strtod.o | ||
| 14 | $(AR) -r libfast_float.a fast_float_strtod.o | ||
| 15 | |||
| 16 | 32bit: FASTFLOAT_CFLAGS += -m32 | ||
| 17 | 32bit: FASTFLOAT_LDFLAGS += -m32 | ||
| 18 | 32bit: libfast_float | ||
| 19 | |||
| 20 | fast_float_strtod.o: fast_float_strtod.cpp | ||
| 21 | $(CXX) $(FASTFLOAT_CFLAGS) -c fast_float_strtod.cpp $(FASTFLOAT_LDFLAGS) | ||
| 22 | |||
| 23 | clean: | ||
| 24 | rm -f *.o | ||
| 25 | rm -f *.a | ||
| 26 | rm -f *.h.gch | ||
| 27 | rm -rf *.dSYM | ||
diff --git a/examples/redis-unstable/deps/fast_float/README.md b/examples/redis-unstable/deps/fast_float/README.md new file mode 100644 index 0000000..90462d3 --- /dev/null +++ b/examples/redis-unstable/deps/fast_float/README.md | |||
| @@ -0,0 +1,21 @@ | |||
| 1 | README for fast_float v6.1.4 | ||
| 2 | |||
| 3 | ---------------------------------------------- | ||
| 4 | |||
| 5 | We're using the fast_float library[1] in our (compiled-in) | ||
| 6 | floating-point fast_float_strtod implementation for faster and more | ||
| 7 | portable parsing of 64 decimal strings. | ||
| 8 | |||
| 9 | The single file fast_float.h is an amalgamation of the entire library, | ||
| 10 | which can be (re)generated with the amalgamate.py script (from the | ||
| 11 | fast_float repository) via the command | ||
| 12 | |||
| 13 | ``` | ||
| 14 | git clone https://github.com/fastfloat/fast_float | ||
| 15 | cd fast_float | ||
| 16 | git checkout v6.1.4 | ||
| 17 | python3 ./script/amalgamate.py --license=MIT \ | ||
| 18 | > $REDIS_SRC/deps/fast_float/fast_float.h | ||
| 19 | ``` | ||
| 20 | |||
| 21 | [1]: https://github.com/fastfloat/fast_float | ||
diff --git a/examples/redis-unstable/deps/fast_float/fast_float.h b/examples/redis-unstable/deps/fast_float/fast_float.h new file mode 100644 index 0000000..81d9da5 --- /dev/null +++ b/examples/redis-unstable/deps/fast_float/fast_float.h | |||
| @@ -0,0 +1,3838 @@ | |||
| 1 | // fast_float by Daniel Lemire | ||
| 2 | // fast_float by João Paulo Magalhaes | ||
| 3 | // | ||
| 4 | // | ||
| 5 | // with contributions from Eugene Golushkov | ||
| 6 | // with contributions from Maksim Kita | ||
| 7 | // with contributions from Marcin Wojdyr | ||
| 8 | // with contributions from Neal Richardson | ||
| 9 | // with contributions from Tim Paine | ||
| 10 | // with contributions from Fabio Pellacini | ||
| 11 | // with contributions from Lénárd Szolnoki | ||
| 12 | // with contributions from Jan Pharago | ||
| 13 | // with contributions from Maya Warrier | ||
| 14 | // with contributions from Taha Khokhar | ||
| 15 | // | ||
| 16 | // | ||
| 17 | // MIT License Notice | ||
| 18 | // | ||
| 19 | // MIT License | ||
| 20 | // | ||
| 21 | // Copyright (c) 2021 The fast_float authors | ||
| 22 | // | ||
| 23 | // Permission is hereby granted, free of charge, to any | ||
| 24 | // person obtaining a copy of this software and associated | ||
| 25 | // documentation files (the "Software"), to deal in the | ||
| 26 | // Software without restriction, including without | ||
| 27 | // limitation the rights to use, copy, modify, merge, | ||
| 28 | // publish, distribute, sublicense, and/or sell copies of | ||
| 29 | // the Software, and to permit persons to whom the Software | ||
| 30 | // is furnished to do so, subject to the following | ||
| 31 | // conditions: | ||
| 32 | // | ||
| 33 | // The above copyright notice and this permission notice | ||
| 34 | // shall be included in all copies or substantial portions | ||
| 35 | // of the Software. | ||
| 36 | // | ||
| 37 | // THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF | ||
| 38 | // ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED | ||
| 39 | // TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A | ||
| 40 | // PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT | ||
| 41 | // SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY | ||
| 42 | // CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION | ||
| 43 | // OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR | ||
| 44 | // IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER | ||
| 45 | // DEALINGS IN THE SOFTWARE. | ||
| 46 | // | ||
| 47 | |||
| 48 | #ifndef FASTFLOAT_CONSTEXPR_FEATURE_DETECT_H | ||
| 49 | #define FASTFLOAT_CONSTEXPR_FEATURE_DETECT_H | ||
| 50 | |||
| 51 | #ifdef __has_include | ||
| 52 | #if __has_include(<version>) | ||
| 53 | #include <version> | ||
| 54 | #endif | ||
| 55 | #endif | ||
| 56 | |||
| 57 | // Testing for https://wg21.link/N3652, adopted in C++14 | ||
| 58 | #if __cpp_constexpr >= 201304 | ||
| 59 | #define FASTFLOAT_CONSTEXPR14 constexpr | ||
| 60 | #else | ||
| 61 | #define FASTFLOAT_CONSTEXPR14 | ||
| 62 | #endif | ||
| 63 | |||
| 64 | #if defined(__cpp_lib_bit_cast) && __cpp_lib_bit_cast >= 201806L | ||
| 65 | #define FASTFLOAT_HAS_BIT_CAST 1 | ||
| 66 | #else | ||
| 67 | #define FASTFLOAT_HAS_BIT_CAST 0 | ||
| 68 | #endif | ||
| 69 | |||
| 70 | #if defined(__cpp_lib_is_constant_evaluated) && \ | ||
| 71 | __cpp_lib_is_constant_evaluated >= 201811L | ||
| 72 | #define FASTFLOAT_HAS_IS_CONSTANT_EVALUATED 1 | ||
| 73 | #else | ||
| 74 | #define FASTFLOAT_HAS_IS_CONSTANT_EVALUATED 0 | ||
| 75 | #endif | ||
| 76 | |||
| 77 | // Testing for relevant C++20 constexpr library features | ||
| 78 | #if FASTFLOAT_HAS_IS_CONSTANT_EVALUATED && FASTFLOAT_HAS_BIT_CAST && \ | ||
| 79 | __cpp_lib_constexpr_algorithms >= 201806L /*For std::copy and std::fill*/ | ||
| 80 | #define FASTFLOAT_CONSTEXPR20 constexpr | ||
| 81 | #define FASTFLOAT_IS_CONSTEXPR 1 | ||
| 82 | #else | ||
| 83 | #define FASTFLOAT_CONSTEXPR20 | ||
| 84 | #define FASTFLOAT_IS_CONSTEXPR 0 | ||
| 85 | #endif | ||
| 86 | |||
| 87 | #endif // FASTFLOAT_CONSTEXPR_FEATURE_DETECT_H | ||
| 88 | |||
| 89 | #ifndef FASTFLOAT_FLOAT_COMMON_H | ||
| 90 | #define FASTFLOAT_FLOAT_COMMON_H | ||
| 91 | |||
| 92 | #include <cfloat> | ||
| 93 | #include <cstdint> | ||
| 94 | #include <cassert> | ||
| 95 | #include <cstring> | ||
| 96 | #include <type_traits> | ||
| 97 | #include <system_error> | ||
| 98 | #ifdef __has_include | ||
| 99 | #if __has_include(<stdfloat>) && (__cplusplus > 202002L || _MSVC_LANG > 202002L) | ||
| 100 | #include <stdfloat> | ||
| 101 | #endif | ||
| 102 | #endif | ||
| 103 | |||
| 104 | namespace fast_float { | ||
| 105 | |||
| 106 | #define FASTFLOAT_JSONFMT (1 << 5) | ||
| 107 | #define FASTFLOAT_FORTRANFMT (1 << 6) | ||
| 108 | |||
| 109 | enum chars_format { | ||
| 110 | scientific = 1 << 0, | ||
| 111 | fixed = 1 << 2, | ||
| 112 | hex = 1 << 3, | ||
| 113 | no_infnan = 1 << 4, | ||
| 114 | // RFC 8259: https://datatracker.ietf.org/doc/html/rfc8259#section-6 | ||
| 115 | json = FASTFLOAT_JSONFMT | fixed | scientific | no_infnan, | ||
| 116 | // Extension of RFC 8259 where, e.g., "inf" and "nan" are allowed. | ||
| 117 | json_or_infnan = FASTFLOAT_JSONFMT | fixed | scientific, | ||
| 118 | fortran = FASTFLOAT_FORTRANFMT | fixed | scientific, | ||
| 119 | general = fixed | scientific | ||
| 120 | }; | ||
| 121 | |||
| 122 | template <typename UC> struct from_chars_result_t { | ||
| 123 | UC const *ptr; | ||
| 124 | std::errc ec; | ||
| 125 | }; | ||
| 126 | using from_chars_result = from_chars_result_t<char>; | ||
| 127 | |||
| 128 | template <typename UC> struct parse_options_t { | ||
| 129 | constexpr explicit parse_options_t(chars_format fmt = chars_format::general, | ||
| 130 | UC dot = UC('.')) | ||
| 131 | : format(fmt), decimal_point(dot) {} | ||
| 132 | |||
| 133 | /** Which number formats are accepted */ | ||
| 134 | chars_format format; | ||
| 135 | /** The character used as decimal point */ | ||
| 136 | UC decimal_point; | ||
| 137 | }; | ||
| 138 | using parse_options = parse_options_t<char>; | ||
| 139 | |||
| 140 | } // namespace fast_float | ||
| 141 | |||
| 142 | #if FASTFLOAT_HAS_BIT_CAST | ||
| 143 | #include <bit> | ||
| 144 | #endif | ||
| 145 | |||
| 146 | #if (defined(__x86_64) || defined(__x86_64__) || defined(_M_X64) || \ | ||
| 147 | defined(__amd64) || defined(__aarch64__) || defined(_M_ARM64) || \ | ||
| 148 | defined(__MINGW64__) || defined(__s390x__) || \ | ||
| 149 | (defined(__ppc64__) || defined(__PPC64__) || defined(__ppc64le__) || \ | ||
| 150 | defined(__PPC64LE__)) || \ | ||
| 151 | defined(__loongarch64)) | ||
| 152 | #define FASTFLOAT_64BIT 1 | ||
| 153 | #elif (defined(__i386) || defined(__i386__) || defined(_M_IX86) || \ | ||
| 154 | defined(__arm__) || defined(_M_ARM) || defined(__ppc__) || \ | ||
| 155 | defined(__MINGW32__) || defined(__EMSCRIPTEN__)) | ||
| 156 | #define FASTFLOAT_32BIT 1 | ||
| 157 | #else | ||
| 158 | // Need to check incrementally, since SIZE_MAX is a size_t, avoid overflow. | ||
| 159 | // We can never tell the register width, but the SIZE_MAX is a good | ||
| 160 | // approximation. UINTPTR_MAX and INTPTR_MAX are optional, so avoid them for max | ||
| 161 | // portability. | ||
| 162 | #if SIZE_MAX == 0xffff | ||
| 163 | #error Unknown platform (16-bit, unsupported) | ||
| 164 | #elif SIZE_MAX == 0xffffffff | ||
| 165 | #define FASTFLOAT_32BIT 1 | ||
| 166 | #elif SIZE_MAX == 0xffffffffffffffff | ||
| 167 | #define FASTFLOAT_64BIT 1 | ||
| 168 | #else | ||
| 169 | #error Unknown platform (not 32-bit, not 64-bit?) | ||
| 170 | #endif | ||
| 171 | #endif | ||
| 172 | |||
| 173 | #if ((defined(_WIN32) || defined(_WIN64)) && !defined(__clang__)) || \ | ||
| 174 | (defined(_M_ARM64) && !defined(__MINGW32__)) | ||
| 175 | #include <intrin.h> | ||
| 176 | #endif | ||
| 177 | |||
| 178 | #if defined(_MSC_VER) && !defined(__clang__) | ||
| 179 | #define FASTFLOAT_VISUAL_STUDIO 1 | ||
| 180 | #endif | ||
| 181 | |||
| 182 | #if defined __BYTE_ORDER__ && defined __ORDER_BIG_ENDIAN__ | ||
| 183 | #define FASTFLOAT_IS_BIG_ENDIAN (__BYTE_ORDER__ == __ORDER_BIG_ENDIAN__) | ||
| 184 | #elif defined _WIN32 | ||
| 185 | #define FASTFLOAT_IS_BIG_ENDIAN 0 | ||
| 186 | #else | ||
| 187 | #if defined(__APPLE__) || defined(__FreeBSD__) | ||
| 188 | #include <machine/endian.h> | ||
| 189 | #elif defined(sun) || defined(__sun) | ||
| 190 | #include <sys/byteorder.h> | ||
| 191 | #elif defined(__MVS__) | ||
| 192 | #include <sys/endian.h> | ||
| 193 | #else | ||
| 194 | #ifdef __has_include | ||
| 195 | #if __has_include(<endian.h>) | ||
| 196 | #include <endian.h> | ||
| 197 | #endif //__has_include(<endian.h>) | ||
| 198 | #endif //__has_include | ||
| 199 | #endif | ||
| 200 | # | ||
| 201 | #ifndef __BYTE_ORDER__ | ||
| 202 | // safe choice | ||
| 203 | #define FASTFLOAT_IS_BIG_ENDIAN 0 | ||
| 204 | #endif | ||
| 205 | # | ||
| 206 | #ifndef __ORDER_LITTLE_ENDIAN__ | ||
| 207 | // safe choice | ||
| 208 | #define FASTFLOAT_IS_BIG_ENDIAN 0 | ||
| 209 | #endif | ||
| 210 | # | ||
| 211 | #if __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__ | ||
| 212 | #define FASTFLOAT_IS_BIG_ENDIAN 0 | ||
| 213 | #else | ||
| 214 | #define FASTFLOAT_IS_BIG_ENDIAN 1 | ||
| 215 | #endif | ||
| 216 | #endif | ||
| 217 | |||
| 218 | #if defined(__SSE2__) || (defined(FASTFLOAT_VISUAL_STUDIO) && \ | ||
| 219 | (defined(_M_AMD64) || defined(_M_X64) || \ | ||
| 220 | (defined(_M_IX86_FP) && _M_IX86_FP == 2))) | ||
| 221 | #define FASTFLOAT_SSE2 1 | ||
| 222 | #endif | ||
| 223 | |||
| 224 | #if defined(__aarch64__) || defined(_M_ARM64) | ||
| 225 | #define FASTFLOAT_NEON 1 | ||
| 226 | #endif | ||
| 227 | |||
| 228 | #if defined(FASTFLOAT_SSE2) || defined(FASTFLOAT_NEON) | ||
| 229 | #define FASTFLOAT_HAS_SIMD 1 | ||
| 230 | #endif | ||
| 231 | |||
| 232 | #if defined(__GNUC__) | ||
| 233 | // disable -Wcast-align=strict (GCC only) | ||
| 234 | #define FASTFLOAT_SIMD_DISABLE_WARNINGS \ | ||
| 235 | _Pragma("GCC diagnostic push") \ | ||
| 236 | _Pragma("GCC diagnostic ignored \"-Wcast-align\"") | ||
| 237 | #else | ||
| 238 | #define FASTFLOAT_SIMD_DISABLE_WARNINGS | ||
| 239 | #endif | ||
| 240 | |||
| 241 | #if defined(__GNUC__) | ||
| 242 | #define FASTFLOAT_SIMD_RESTORE_WARNINGS _Pragma("GCC diagnostic pop") | ||
| 243 | #else | ||
| 244 | #define FASTFLOAT_SIMD_RESTORE_WARNINGS | ||
| 245 | #endif | ||
| 246 | |||
| 247 | #ifdef FASTFLOAT_VISUAL_STUDIO | ||
| 248 | #define fastfloat_really_inline __forceinline | ||
| 249 | #else | ||
| 250 | #define fastfloat_really_inline inline __attribute__((always_inline)) | ||
| 251 | #endif | ||
| 252 | |||
| 253 | #ifndef FASTFLOAT_ASSERT | ||
| 254 | #define FASTFLOAT_ASSERT(x) \ | ||
| 255 | { ((void)(x)); } | ||
| 256 | #endif | ||
| 257 | |||
| 258 | #ifndef FASTFLOAT_DEBUG_ASSERT | ||
| 259 | #define FASTFLOAT_DEBUG_ASSERT(x) \ | ||
| 260 | { ((void)(x)); } | ||
| 261 | #endif | ||
| 262 | |||
| 263 | // rust style `try!()` macro, or `?` operator | ||
| 264 | #define FASTFLOAT_TRY(x) \ | ||
| 265 | { \ | ||
| 266 | if (!(x)) \ | ||
| 267 | return false; \ | ||
| 268 | } | ||
| 269 | |||
| 270 | #define FASTFLOAT_ENABLE_IF(...) \ | ||
| 271 | typename std::enable_if<(__VA_ARGS__), int>::type | ||
| 272 | |||
| 273 | namespace fast_float { | ||
| 274 | |||
| 275 | fastfloat_really_inline constexpr bool cpp20_and_in_constexpr() { | ||
| 276 | #if FASTFLOAT_HAS_IS_CONSTANT_EVALUATED | ||
| 277 | return std::is_constant_evaluated(); | ||
| 278 | #else | ||
| 279 | return false; | ||
| 280 | #endif | ||
| 281 | } | ||
| 282 | |||
| 283 | template <typename T> | ||
| 284 | fastfloat_really_inline constexpr bool is_supported_float_type() { | ||
| 285 | return std::is_same<T, float>::value || std::is_same<T, double>::value | ||
| 286 | #if __STDCPP_FLOAT32_T__ | ||
| 287 | || std::is_same<T, std::float32_t>::value | ||
| 288 | #endif | ||
| 289 | #if __STDCPP_FLOAT64_T__ | ||
| 290 | || std::is_same<T, std::float64_t>::value | ||
| 291 | #endif | ||
| 292 | ; | ||
| 293 | } | ||
| 294 | |||
| 295 | template <typename UC> | ||
| 296 | fastfloat_really_inline constexpr bool is_supported_char_type() { | ||
| 297 | return std::is_same<UC, char>::value || std::is_same<UC, wchar_t>::value || | ||
| 298 | std::is_same<UC, char16_t>::value || std::is_same<UC, char32_t>::value; | ||
| 299 | } | ||
| 300 | |||
| 301 | // Compares two ASCII strings in a case insensitive manner. | ||
| 302 | template <typename UC> | ||
| 303 | inline FASTFLOAT_CONSTEXPR14 bool | ||
| 304 | fastfloat_strncasecmp(UC const *input1, UC const *input2, size_t length) { | ||
| 305 | char running_diff{0}; | ||
| 306 | for (size_t i = 0; i < length; ++i) { | ||
| 307 | running_diff |= (char(input1[i]) ^ char(input2[i])); | ||
| 308 | } | ||
| 309 | return (running_diff == 0) || (running_diff == 32); | ||
| 310 | } | ||
| 311 | |||
| 312 | #ifndef FLT_EVAL_METHOD | ||
| 313 | #error "FLT_EVAL_METHOD should be defined, please include cfloat." | ||
| 314 | #endif | ||
| 315 | |||
| 316 | // a pointer and a length to a contiguous block of memory | ||
| 317 | template <typename T> struct span { | ||
| 318 | const T *ptr; | ||
| 319 | size_t length; | ||
| 320 | constexpr span(const T *_ptr, size_t _length) : ptr(_ptr), length(_length) {} | ||
| 321 | constexpr span() : ptr(nullptr), length(0) {} | ||
| 322 | |||
| 323 | constexpr size_t len() const noexcept { return length; } | ||
| 324 | |||
| 325 | FASTFLOAT_CONSTEXPR14 const T &operator[](size_t index) const noexcept { | ||
| 326 | FASTFLOAT_DEBUG_ASSERT(index < length); | ||
| 327 | return ptr[index]; | ||
| 328 | } | ||
| 329 | }; | ||
| 330 | |||
| 331 | struct value128 { | ||
| 332 | uint64_t low; | ||
| 333 | uint64_t high; | ||
| 334 | constexpr value128(uint64_t _low, uint64_t _high) : low(_low), high(_high) {} | ||
| 335 | constexpr value128() : low(0), high(0) {} | ||
| 336 | }; | ||
| 337 | |||
| 338 | /* Helper C++14 constexpr generic implementation of leading_zeroes */ | ||
| 339 | fastfloat_really_inline FASTFLOAT_CONSTEXPR14 int | ||
| 340 | leading_zeroes_generic(uint64_t input_num, int last_bit = 0) { | ||
| 341 | if (input_num & uint64_t(0xffffffff00000000)) { | ||
| 342 | input_num >>= 32; | ||
| 343 | last_bit |= 32; | ||
| 344 | } | ||
| 345 | if (input_num & uint64_t(0xffff0000)) { | ||
| 346 | input_num >>= 16; | ||
| 347 | last_bit |= 16; | ||
| 348 | } | ||
| 349 | if (input_num & uint64_t(0xff00)) { | ||
| 350 | input_num >>= 8; | ||
| 351 | last_bit |= 8; | ||
| 352 | } | ||
| 353 | if (input_num & uint64_t(0xf0)) { | ||
| 354 | input_num >>= 4; | ||
| 355 | last_bit |= 4; | ||
| 356 | } | ||
| 357 | if (input_num & uint64_t(0xc)) { | ||
| 358 | input_num >>= 2; | ||
| 359 | last_bit |= 2; | ||
| 360 | } | ||
| 361 | if (input_num & uint64_t(0x2)) { /* input_num >>= 1; */ | ||
| 362 | last_bit |= 1; | ||
| 363 | } | ||
| 364 | return 63 - last_bit; | ||
| 365 | } | ||
| 366 | |||
| 367 | /* result might be undefined when input_num is zero */ | ||
| 368 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 int | ||
| 369 | leading_zeroes(uint64_t input_num) { | ||
| 370 | assert(input_num > 0); | ||
| 371 | if (cpp20_and_in_constexpr()) { | ||
| 372 | return leading_zeroes_generic(input_num); | ||
| 373 | } | ||
| 374 | #ifdef FASTFLOAT_VISUAL_STUDIO | ||
| 375 | #if defined(_M_X64) || defined(_M_ARM64) | ||
| 376 | unsigned long leading_zero = 0; | ||
| 377 | // Search the mask data from most significant bit (MSB) | ||
| 378 | // to least significant bit (LSB) for a set bit (1). | ||
| 379 | _BitScanReverse64(&leading_zero, input_num); | ||
| 380 | return (int)(63 - leading_zero); | ||
| 381 | #else | ||
| 382 | return leading_zeroes_generic(input_num); | ||
| 383 | #endif | ||
| 384 | #else | ||
| 385 | return __builtin_clzll(input_num); | ||
| 386 | #endif | ||
| 387 | } | ||
| 388 | |||
| 389 | // slow emulation routine for 32-bit | ||
| 390 | fastfloat_really_inline constexpr uint64_t emulu(uint32_t x, uint32_t y) { | ||
| 391 | return x * (uint64_t)y; | ||
| 392 | } | ||
| 393 | |||
| 394 | fastfloat_really_inline FASTFLOAT_CONSTEXPR14 uint64_t | ||
| 395 | umul128_generic(uint64_t ab, uint64_t cd, uint64_t *hi) { | ||
| 396 | uint64_t ad = emulu((uint32_t)(ab >> 32), (uint32_t)cd); | ||
| 397 | uint64_t bd = emulu((uint32_t)ab, (uint32_t)cd); | ||
| 398 | uint64_t adbc = ad + emulu((uint32_t)ab, (uint32_t)(cd >> 32)); | ||
| 399 | uint64_t adbc_carry = (uint64_t)(adbc < ad); | ||
| 400 | uint64_t lo = bd + (adbc << 32); | ||
| 401 | *hi = emulu((uint32_t)(ab >> 32), (uint32_t)(cd >> 32)) + (adbc >> 32) + | ||
| 402 | (adbc_carry << 32) + (uint64_t)(lo < bd); | ||
| 403 | return lo; | ||
| 404 | } | ||
| 405 | |||
| 406 | #ifdef FASTFLOAT_32BIT | ||
| 407 | |||
| 408 | // slow emulation routine for 32-bit | ||
| 409 | #if !defined(__MINGW64__) | ||
| 410 | fastfloat_really_inline FASTFLOAT_CONSTEXPR14 uint64_t _umul128(uint64_t ab, | ||
| 411 | uint64_t cd, | ||
| 412 | uint64_t *hi) { | ||
| 413 | return umul128_generic(ab, cd, hi); | ||
| 414 | } | ||
| 415 | #endif // !__MINGW64__ | ||
| 416 | |||
| 417 | #endif // FASTFLOAT_32BIT | ||
| 418 | |||
| 419 | // compute 64-bit a*b | ||
| 420 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 value128 | ||
| 421 | full_multiplication(uint64_t a, uint64_t b) { | ||
| 422 | if (cpp20_and_in_constexpr()) { | ||
| 423 | value128 answer; | ||
| 424 | answer.low = umul128_generic(a, b, &answer.high); | ||
| 425 | return answer; | ||
| 426 | } | ||
| 427 | value128 answer; | ||
| 428 | #if defined(_M_ARM64) && !defined(__MINGW32__) | ||
| 429 | // ARM64 has native support for 64-bit multiplications, no need to emulate | ||
| 430 | // But MinGW on ARM64 doesn't have native support for 64-bit multiplications | ||
| 431 | answer.high = __umulh(a, b); | ||
| 432 | answer.low = a * b; | ||
| 433 | #elif defined(FASTFLOAT_32BIT) || (defined(_WIN64) && !defined(__clang__)) | ||
| 434 | answer.low = _umul128(a, b, &answer.high); // _umul128 not available on ARM64 | ||
| 435 | #elif defined(FASTFLOAT_64BIT) && defined(__SIZEOF_INT128__) | ||
| 436 | __uint128_t r = ((__uint128_t)a) * b; | ||
| 437 | answer.low = uint64_t(r); | ||
| 438 | answer.high = uint64_t(r >> 64); | ||
| 439 | #else | ||
| 440 | answer.low = umul128_generic(a, b, &answer.high); | ||
| 441 | #endif | ||
| 442 | return answer; | ||
| 443 | } | ||
| 444 | |||
| 445 | struct adjusted_mantissa { | ||
| 446 | uint64_t mantissa{0}; | ||
| 447 | int32_t power2{0}; // a negative value indicates an invalid result | ||
| 448 | adjusted_mantissa() = default; | ||
| 449 | constexpr bool operator==(const adjusted_mantissa &o) const { | ||
| 450 | return mantissa == o.mantissa && power2 == o.power2; | ||
| 451 | } | ||
| 452 | constexpr bool operator!=(const adjusted_mantissa &o) const { | ||
| 453 | return mantissa != o.mantissa || power2 != o.power2; | ||
| 454 | } | ||
| 455 | }; | ||
| 456 | |||
| 457 | // Bias so we can get the real exponent with an invalid adjusted_mantissa. | ||
| 458 | constexpr static int32_t invalid_am_bias = -0x8000; | ||
| 459 | |||
| 460 | // used for binary_format_lookup_tables<T>::max_mantissa | ||
| 461 | constexpr uint64_t constant_55555 = 5 * 5 * 5 * 5 * 5; | ||
| 462 | |||
| 463 | template <typename T, typename U = void> struct binary_format_lookup_tables; | ||
| 464 | |||
| 465 | template <typename T> struct binary_format : binary_format_lookup_tables<T> { | ||
| 466 | using equiv_uint = | ||
| 467 | typename std::conditional<sizeof(T) == 4, uint32_t, uint64_t>::type; | ||
| 468 | |||
| 469 | static inline constexpr int mantissa_explicit_bits(); | ||
| 470 | static inline constexpr int minimum_exponent(); | ||
| 471 | static inline constexpr int infinite_power(); | ||
| 472 | static inline constexpr int sign_index(); | ||
| 473 | static inline constexpr int | ||
| 474 | min_exponent_fast_path(); // used when fegetround() == FE_TONEAREST | ||
| 475 | static inline constexpr int max_exponent_fast_path(); | ||
| 476 | static inline constexpr int max_exponent_round_to_even(); | ||
| 477 | static inline constexpr int min_exponent_round_to_even(); | ||
| 478 | static inline constexpr uint64_t max_mantissa_fast_path(int64_t power); | ||
| 479 | static inline constexpr uint64_t | ||
| 480 | max_mantissa_fast_path(); // used when fegetround() == FE_TONEAREST | ||
| 481 | static inline constexpr int largest_power_of_ten(); | ||
| 482 | static inline constexpr int smallest_power_of_ten(); | ||
| 483 | static inline constexpr T exact_power_of_ten(int64_t power); | ||
| 484 | static inline constexpr size_t max_digits(); | ||
| 485 | static inline constexpr equiv_uint exponent_mask(); | ||
| 486 | static inline constexpr equiv_uint mantissa_mask(); | ||
| 487 | static inline constexpr equiv_uint hidden_bit_mask(); | ||
| 488 | }; | ||
| 489 | |||
| 490 | template <typename U> struct binary_format_lookup_tables<double, U> { | ||
| 491 | static constexpr double powers_of_ten[] = { | ||
| 492 | 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, | ||
| 493 | 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22}; | ||
| 494 | |||
| 495 | // Largest integer value v so that (5**index * v) <= 1<<53. | ||
| 496 | // 0x20000000000000 == 1 << 53 | ||
| 497 | static constexpr uint64_t max_mantissa[] = { | ||
| 498 | 0x20000000000000, | ||
| 499 | 0x20000000000000 / 5, | ||
| 500 | 0x20000000000000 / (5 * 5), | ||
| 501 | 0x20000000000000 / (5 * 5 * 5), | ||
| 502 | 0x20000000000000 / (5 * 5 * 5 * 5), | ||
| 503 | 0x20000000000000 / (constant_55555), | ||
| 504 | 0x20000000000000 / (constant_55555 * 5), | ||
| 505 | 0x20000000000000 / (constant_55555 * 5 * 5), | ||
| 506 | 0x20000000000000 / (constant_55555 * 5 * 5 * 5), | ||
| 507 | 0x20000000000000 / (constant_55555 * 5 * 5 * 5 * 5), | ||
| 508 | 0x20000000000000 / (constant_55555 * constant_55555), | ||
| 509 | 0x20000000000000 / (constant_55555 * constant_55555 * 5), | ||
| 510 | 0x20000000000000 / (constant_55555 * constant_55555 * 5 * 5), | ||
| 511 | 0x20000000000000 / (constant_55555 * constant_55555 * 5 * 5 * 5), | ||
| 512 | 0x20000000000000 / (constant_55555 * constant_55555 * constant_55555), | ||
| 513 | 0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 * 5), | ||
| 514 | 0x20000000000000 / | ||
| 515 | (constant_55555 * constant_55555 * constant_55555 * 5 * 5), | ||
| 516 | 0x20000000000000 / | ||
| 517 | (constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5), | ||
| 518 | 0x20000000000000 / | ||
| 519 | (constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5 * 5), | ||
| 520 | 0x20000000000000 / | ||
| 521 | (constant_55555 * constant_55555 * constant_55555 * constant_55555), | ||
| 522 | 0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 * | ||
| 523 | constant_55555 * 5), | ||
| 524 | 0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 * | ||
| 525 | constant_55555 * 5 * 5), | ||
| 526 | 0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 * | ||
| 527 | constant_55555 * 5 * 5 * 5), | ||
| 528 | 0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 * | ||
| 529 | constant_55555 * 5 * 5 * 5 * 5)}; | ||
| 530 | }; | ||
| 531 | |||
| 532 | template <typename U> | ||
| 533 | constexpr double binary_format_lookup_tables<double, U>::powers_of_ten[]; | ||
| 534 | |||
| 535 | template <typename U> | ||
| 536 | constexpr uint64_t binary_format_lookup_tables<double, U>::max_mantissa[]; | ||
| 537 | |||
| 538 | template <typename U> struct binary_format_lookup_tables<float, U> { | ||
| 539 | static constexpr float powers_of_ten[] = {1e0f, 1e1f, 1e2f, 1e3f, 1e4f, 1e5f, | ||
| 540 | 1e6f, 1e7f, 1e8f, 1e9f, 1e10f}; | ||
| 541 | |||
| 542 | // Largest integer value v so that (5**index * v) <= 1<<24. | ||
| 543 | // 0x1000000 == 1<<24 | ||
| 544 | static constexpr uint64_t max_mantissa[] = { | ||
| 545 | 0x1000000, | ||
| 546 | 0x1000000 / 5, | ||
| 547 | 0x1000000 / (5 * 5), | ||
| 548 | 0x1000000 / (5 * 5 * 5), | ||
| 549 | 0x1000000 / (5 * 5 * 5 * 5), | ||
| 550 | 0x1000000 / (constant_55555), | ||
| 551 | 0x1000000 / (constant_55555 * 5), | ||
| 552 | 0x1000000 / (constant_55555 * 5 * 5), | ||
| 553 | 0x1000000 / (constant_55555 * 5 * 5 * 5), | ||
| 554 | 0x1000000 / (constant_55555 * 5 * 5 * 5 * 5), | ||
| 555 | 0x1000000 / (constant_55555 * constant_55555), | ||
| 556 | 0x1000000 / (constant_55555 * constant_55555 * 5)}; | ||
| 557 | }; | ||
| 558 | |||
| 559 | template <typename U> | ||
| 560 | constexpr float binary_format_lookup_tables<float, U>::powers_of_ten[]; | ||
| 561 | |||
| 562 | template <typename U> | ||
| 563 | constexpr uint64_t binary_format_lookup_tables<float, U>::max_mantissa[]; | ||
| 564 | |||
| 565 | template <> | ||
| 566 | inline constexpr int binary_format<double>::min_exponent_fast_path() { | ||
| 567 | #if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0) | ||
| 568 | return 0; | ||
| 569 | #else | ||
| 570 | return -22; | ||
| 571 | #endif | ||
| 572 | } | ||
| 573 | |||
| 574 | template <> | ||
| 575 | inline constexpr int binary_format<float>::min_exponent_fast_path() { | ||
| 576 | #if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0) | ||
| 577 | return 0; | ||
| 578 | #else | ||
| 579 | return -10; | ||
| 580 | #endif | ||
| 581 | } | ||
| 582 | |||
| 583 | template <> | ||
| 584 | inline constexpr int binary_format<double>::mantissa_explicit_bits() { | ||
| 585 | return 52; | ||
| 586 | } | ||
| 587 | template <> | ||
| 588 | inline constexpr int binary_format<float>::mantissa_explicit_bits() { | ||
| 589 | return 23; | ||
| 590 | } | ||
| 591 | |||
| 592 | template <> | ||
| 593 | inline constexpr int binary_format<double>::max_exponent_round_to_even() { | ||
| 594 | return 23; | ||
| 595 | } | ||
| 596 | |||
| 597 | template <> | ||
| 598 | inline constexpr int binary_format<float>::max_exponent_round_to_even() { | ||
| 599 | return 10; | ||
| 600 | } | ||
| 601 | |||
| 602 | template <> | ||
| 603 | inline constexpr int binary_format<double>::min_exponent_round_to_even() { | ||
| 604 | return -4; | ||
| 605 | } | ||
| 606 | |||
| 607 | template <> | ||
| 608 | inline constexpr int binary_format<float>::min_exponent_round_to_even() { | ||
| 609 | return -17; | ||
| 610 | } | ||
| 611 | |||
| 612 | template <> inline constexpr int binary_format<double>::minimum_exponent() { | ||
| 613 | return -1023; | ||
| 614 | } | ||
| 615 | template <> inline constexpr int binary_format<float>::minimum_exponent() { | ||
| 616 | return -127; | ||
| 617 | } | ||
| 618 | |||
| 619 | template <> inline constexpr int binary_format<double>::infinite_power() { | ||
| 620 | return 0x7FF; | ||
| 621 | } | ||
| 622 | template <> inline constexpr int binary_format<float>::infinite_power() { | ||
| 623 | return 0xFF; | ||
| 624 | } | ||
| 625 | |||
| 626 | template <> inline constexpr int binary_format<double>::sign_index() { | ||
| 627 | return 63; | ||
| 628 | } | ||
| 629 | template <> inline constexpr int binary_format<float>::sign_index() { | ||
| 630 | return 31; | ||
| 631 | } | ||
| 632 | |||
| 633 | template <> | ||
| 634 | inline constexpr int binary_format<double>::max_exponent_fast_path() { | ||
| 635 | return 22; | ||
| 636 | } | ||
| 637 | template <> | ||
| 638 | inline constexpr int binary_format<float>::max_exponent_fast_path() { | ||
| 639 | return 10; | ||
| 640 | } | ||
| 641 | |||
| 642 | template <> | ||
| 643 | inline constexpr uint64_t binary_format<double>::max_mantissa_fast_path() { | ||
| 644 | return uint64_t(2) << mantissa_explicit_bits(); | ||
| 645 | } | ||
| 646 | template <> | ||
| 647 | inline constexpr uint64_t | ||
| 648 | binary_format<double>::max_mantissa_fast_path(int64_t power) { | ||
| 649 | // caller is responsible to ensure that | ||
| 650 | // power >= 0 && power <= 22 | ||
| 651 | // | ||
| 652 | // Work around clang bug https://godbolt.org/z/zedh7rrhc | ||
| 653 | return (void)max_mantissa[0], max_mantissa[power]; | ||
| 654 | } | ||
| 655 | template <> | ||
| 656 | inline constexpr uint64_t binary_format<float>::max_mantissa_fast_path() { | ||
| 657 | return uint64_t(2) << mantissa_explicit_bits(); | ||
| 658 | } | ||
| 659 | template <> | ||
| 660 | inline constexpr uint64_t | ||
| 661 | binary_format<float>::max_mantissa_fast_path(int64_t power) { | ||
| 662 | // caller is responsible to ensure that | ||
| 663 | // power >= 0 && power <= 10 | ||
| 664 | // | ||
| 665 | // Work around clang bug https://godbolt.org/z/zedh7rrhc | ||
| 666 | return (void)max_mantissa[0], max_mantissa[power]; | ||
| 667 | } | ||
| 668 | |||
| 669 | template <> | ||
| 670 | inline constexpr double | ||
| 671 | binary_format<double>::exact_power_of_ten(int64_t power) { | ||
| 672 | // Work around clang bug https://godbolt.org/z/zedh7rrhc | ||
| 673 | return (void)powers_of_ten[0], powers_of_ten[power]; | ||
| 674 | } | ||
| 675 | template <> | ||
| 676 | inline constexpr float binary_format<float>::exact_power_of_ten(int64_t power) { | ||
| 677 | // Work around clang bug https://godbolt.org/z/zedh7rrhc | ||
| 678 | return (void)powers_of_ten[0], powers_of_ten[power]; | ||
| 679 | } | ||
| 680 | |||
| 681 | template <> inline constexpr int binary_format<double>::largest_power_of_ten() { | ||
| 682 | return 308; | ||
| 683 | } | ||
| 684 | template <> inline constexpr int binary_format<float>::largest_power_of_ten() { | ||
| 685 | return 38; | ||
| 686 | } | ||
| 687 | |||
| 688 | template <> | ||
| 689 | inline constexpr int binary_format<double>::smallest_power_of_ten() { | ||
| 690 | return -342; | ||
| 691 | } | ||
| 692 | template <> inline constexpr int binary_format<float>::smallest_power_of_ten() { | ||
| 693 | return -64; | ||
| 694 | } | ||
| 695 | |||
| 696 | template <> inline constexpr size_t binary_format<double>::max_digits() { | ||
| 697 | return 769; | ||
| 698 | } | ||
| 699 | template <> inline constexpr size_t binary_format<float>::max_digits() { | ||
| 700 | return 114; | ||
| 701 | } | ||
| 702 | |||
| 703 | template <> | ||
| 704 | inline constexpr binary_format<float>::equiv_uint | ||
| 705 | binary_format<float>::exponent_mask() { | ||
| 706 | return 0x7F800000; | ||
| 707 | } | ||
| 708 | template <> | ||
| 709 | inline constexpr binary_format<double>::equiv_uint | ||
| 710 | binary_format<double>::exponent_mask() { | ||
| 711 | return 0x7FF0000000000000; | ||
| 712 | } | ||
| 713 | |||
| 714 | template <> | ||
| 715 | inline constexpr binary_format<float>::equiv_uint | ||
| 716 | binary_format<float>::mantissa_mask() { | ||
| 717 | return 0x007FFFFF; | ||
| 718 | } | ||
| 719 | template <> | ||
| 720 | inline constexpr binary_format<double>::equiv_uint | ||
| 721 | binary_format<double>::mantissa_mask() { | ||
| 722 | return 0x000FFFFFFFFFFFFF; | ||
| 723 | } | ||
| 724 | |||
| 725 | template <> | ||
| 726 | inline constexpr binary_format<float>::equiv_uint | ||
| 727 | binary_format<float>::hidden_bit_mask() { | ||
| 728 | return 0x00800000; | ||
| 729 | } | ||
| 730 | template <> | ||
| 731 | inline constexpr binary_format<double>::equiv_uint | ||
| 732 | binary_format<double>::hidden_bit_mask() { | ||
| 733 | return 0x0010000000000000; | ||
| 734 | } | ||
| 735 | |||
| 736 | template <typename T> | ||
| 737 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void | ||
| 738 | to_float(bool negative, adjusted_mantissa am, T &value) { | ||
| 739 | using fastfloat_uint = typename binary_format<T>::equiv_uint; | ||
| 740 | fastfloat_uint word = (fastfloat_uint)am.mantissa; | ||
| 741 | word |= fastfloat_uint(am.power2) | ||
| 742 | << binary_format<T>::mantissa_explicit_bits(); | ||
| 743 | word |= fastfloat_uint(negative) << binary_format<T>::sign_index(); | ||
| 744 | #if FASTFLOAT_HAS_BIT_CAST | ||
| 745 | value = std::bit_cast<T>(word); | ||
| 746 | #else | ||
| 747 | ::memcpy(&value, &word, sizeof(T)); | ||
| 748 | #endif | ||
| 749 | } | ||
| 750 | |||
| 751 | #ifdef FASTFLOAT_SKIP_WHITE_SPACE // disabled by default | ||
| 752 | template <typename = void> struct space_lut { | ||
| 753 | static constexpr bool value[] = { | ||
| 754 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 755 | 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 756 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 757 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 758 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 759 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 760 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 761 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 762 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 763 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, | ||
| 764 | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}; | ||
| 765 | }; | ||
| 766 | |||
| 767 | template <typename T> constexpr bool space_lut<T>::value[]; | ||
| 768 | |||
| 769 | inline constexpr bool is_space(uint8_t c) { return space_lut<>::value[c]; } | ||
| 770 | #endif | ||
| 771 | |||
| 772 | template <typename UC> static constexpr uint64_t int_cmp_zeros() { | ||
| 773 | static_assert((sizeof(UC) == 1) || (sizeof(UC) == 2) || (sizeof(UC) == 4), | ||
| 774 | "Unsupported character size"); | ||
| 775 | return (sizeof(UC) == 1) ? 0x3030303030303030 | ||
| 776 | : (sizeof(UC) == 2) | ||
| 777 | ? (uint64_t(UC('0')) << 48 | uint64_t(UC('0')) << 32 | | ||
| 778 | uint64_t(UC('0')) << 16 | UC('0')) | ||
| 779 | : (uint64_t(UC('0')) << 32 | UC('0')); | ||
| 780 | } | ||
| 781 | template <typename UC> static constexpr int int_cmp_len() { | ||
| 782 | return sizeof(uint64_t) / sizeof(UC); | ||
| 783 | } | ||
| 784 | template <typename UC> static constexpr UC const *str_const_nan() { | ||
| 785 | return nullptr; | ||
| 786 | } | ||
| 787 | template <> constexpr char const *str_const_nan<char>() { return "nan"; } | ||
| 788 | template <> constexpr wchar_t const *str_const_nan<wchar_t>() { return L"nan"; } | ||
| 789 | template <> constexpr char16_t const *str_const_nan<char16_t>() { | ||
| 790 | return u"nan"; | ||
| 791 | } | ||
| 792 | template <> constexpr char32_t const *str_const_nan<char32_t>() { | ||
| 793 | return U"nan"; | ||
| 794 | } | ||
| 795 | template <typename UC> static constexpr UC const *str_const_inf() { | ||
| 796 | return nullptr; | ||
| 797 | } | ||
| 798 | template <> constexpr char const *str_const_inf<char>() { return "infinity"; } | ||
| 799 | template <> constexpr wchar_t const *str_const_inf<wchar_t>() { | ||
| 800 | return L"infinity"; | ||
| 801 | } | ||
| 802 | template <> constexpr char16_t const *str_const_inf<char16_t>() { | ||
| 803 | return u"infinity"; | ||
| 804 | } | ||
| 805 | template <> constexpr char32_t const *str_const_inf<char32_t>() { | ||
| 806 | return U"infinity"; | ||
| 807 | } | ||
| 808 | |||
| 809 | template <typename = void> struct int_luts { | ||
| 810 | static constexpr uint8_t chdigit[] = { | ||
| 811 | 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, | ||
| 812 | 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, | ||
| 813 | 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, | ||
| 814 | 255, 255, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 255, 255, | ||
| 815 | 255, 255, 255, 255, 255, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, | ||
| 816 | 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, | ||
| 817 | 35, 255, 255, 255, 255, 255, 255, 10, 11, 12, 13, 14, 15, 16, 17, | ||
| 818 | 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, | ||
| 819 | 33, 34, 35, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, | ||
| 820 | 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, | ||
| 821 | 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, | ||
| 822 | 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, | ||
| 823 | 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, | ||
| 824 | 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, | ||
| 825 | 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, | ||
| 826 | 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, | ||
| 827 | 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, | ||
| 828 | 255}; | ||
| 829 | |||
| 830 | static constexpr size_t maxdigits_u64[] = { | ||
| 831 | 64, 41, 32, 28, 25, 23, 22, 21, 20, 19, 18, 18, 17, 17, 16, 16, 16, 16, | ||
| 832 | 15, 15, 15, 15, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13}; | ||
| 833 | |||
| 834 | static constexpr uint64_t min_safe_u64[] = { | ||
| 835 | 9223372036854775808ull, 12157665459056928801ull, 4611686018427387904, | ||
| 836 | 7450580596923828125, 4738381338321616896, 3909821048582988049, | ||
| 837 | 9223372036854775808ull, 12157665459056928801ull, 10000000000000000000ull, | ||
| 838 | 5559917313492231481, 2218611106740436992, 8650415919381337933, | ||
| 839 | 2177953337809371136, 6568408355712890625, 1152921504606846976, | ||
| 840 | 2862423051509815793, 6746640616477458432, 15181127029874798299ull, | ||
| 841 | 1638400000000000000, 3243919932521508681, 6221821273427820544, | ||
| 842 | 11592836324538749809ull, 876488338465357824, 1490116119384765625, | ||
| 843 | 2481152873203736576, 4052555153018976267, 6502111422497947648, | ||
| 844 | 10260628712958602189ull, 15943230000000000000ull, 787662783788549761, | ||
| 845 | 1152921504606846976, 1667889514952984961, 2386420683693101056, | ||
| 846 | 3379220508056640625, 4738381338321616896}; | ||
| 847 | }; | ||
| 848 | |||
| 849 | template <typename T> constexpr uint8_t int_luts<T>::chdigit[]; | ||
| 850 | |||
| 851 | template <typename T> constexpr size_t int_luts<T>::maxdigits_u64[]; | ||
| 852 | |||
| 853 | template <typename T> constexpr uint64_t int_luts<T>::min_safe_u64[]; | ||
| 854 | |||
| 855 | template <typename UC> | ||
| 856 | fastfloat_really_inline constexpr uint8_t ch_to_digit(UC c) { | ||
| 857 | return int_luts<>::chdigit[static_cast<unsigned char>(c)]; | ||
| 858 | } | ||
| 859 | |||
| 860 | fastfloat_really_inline constexpr size_t max_digits_u64(int base) { | ||
| 861 | return int_luts<>::maxdigits_u64[base - 2]; | ||
| 862 | } | ||
| 863 | |||
| 864 | // If a u64 is exactly max_digits_u64() in length, this is | ||
| 865 | // the value below which it has definitely overflowed. | ||
| 866 | fastfloat_really_inline constexpr uint64_t min_safe_u64(int base) { | ||
| 867 | return int_luts<>::min_safe_u64[base - 2]; | ||
| 868 | } | ||
| 869 | |||
| 870 | } // namespace fast_float | ||
| 871 | |||
| 872 | #endif | ||
| 873 | |||
| 874 | |||
| 875 | #ifndef FASTFLOAT_FAST_FLOAT_H | ||
| 876 | #define FASTFLOAT_FAST_FLOAT_H | ||
| 877 | |||
| 878 | |||
| 879 | namespace fast_float { | ||
| 880 | /** | ||
| 881 | * This function parses the character sequence [first,last) for a number. It | ||
| 882 | * parses floating-point numbers expecting a locale-indepent format equivalent | ||
| 883 | * to what is used by std::strtod in the default ("C") locale. The resulting | ||
| 884 | * floating-point value is the closest floating-point values (using either float | ||
| 885 | * or double), using the "round to even" convention for values that would | ||
| 886 | * otherwise fall right in-between two values. That is, we provide exact parsing | ||
| 887 | * according to the IEEE standard. | ||
| 888 | * | ||
| 889 | * Given a successful parse, the pointer (`ptr`) in the returned value is set to | ||
| 890 | * point right after the parsed number, and the `value` referenced is set to the | ||
| 891 | * parsed value. In case of error, the returned `ec` contains a representative | ||
| 892 | * error, otherwise the default (`std::errc()`) value is stored. | ||
| 893 | * | ||
| 894 | * The implementation does not throw and does not allocate memory (e.g., with | ||
| 895 | * `new` or `malloc`). | ||
| 896 | * | ||
| 897 | * Like the C++17 standard, the `fast_float::from_chars` functions take an | ||
| 898 | * optional last argument of the type `fast_float::chars_format`. It is a bitset | ||
| 899 | * value: we check whether `fmt & fast_float::chars_format::fixed` and `fmt & | ||
| 900 | * fast_float::chars_format::scientific` are set to determine whether we allow | ||
| 901 | * the fixed point and scientific notation respectively. The default is | ||
| 902 | * `fast_float::chars_format::general` which allows both `fixed` and | ||
| 903 | * `scientific`. | ||
| 904 | */ | ||
| 905 | template <typename T, typename UC = char, | ||
| 906 | typename = FASTFLOAT_ENABLE_IF(is_supported_float_type<T>())> | ||
| 907 | FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> | ||
| 908 | from_chars(UC const *first, UC const *last, T &value, | ||
| 909 | chars_format fmt = chars_format::general) noexcept; | ||
| 910 | |||
| 911 | /** | ||
| 912 | * Like from_chars, but accepts an `options` argument to govern number parsing. | ||
| 913 | */ | ||
| 914 | template <typename T, typename UC = char> | ||
| 915 | FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> | ||
| 916 | from_chars_advanced(UC const *first, UC const *last, T &value, | ||
| 917 | parse_options_t<UC> options) noexcept; | ||
| 918 | /** | ||
| 919 | * from_chars for integer types. | ||
| 920 | */ | ||
| 921 | template <typename T, typename UC = char, | ||
| 922 | typename = FASTFLOAT_ENABLE_IF(!is_supported_float_type<T>())> | ||
| 923 | FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> | ||
| 924 | from_chars(UC const *first, UC const *last, T &value, int base = 10) noexcept; | ||
| 925 | |||
| 926 | } // namespace fast_float | ||
| 927 | #endif // FASTFLOAT_FAST_FLOAT_H | ||
| 928 | |||
| 929 | #ifndef FASTFLOAT_ASCII_NUMBER_H | ||
| 930 | #define FASTFLOAT_ASCII_NUMBER_H | ||
| 931 | |||
| 932 | #include <cctype> | ||
| 933 | #include <cstdint> | ||
| 934 | #include <cstring> | ||
| 935 | #include <iterator> | ||
| 936 | #include <limits> | ||
| 937 | #include <type_traits> | ||
| 938 | |||
| 939 | |||
| 940 | #ifdef FASTFLOAT_SSE2 | ||
| 941 | #include <emmintrin.h> | ||
| 942 | #endif | ||
| 943 | |||
| 944 | #ifdef FASTFLOAT_NEON | ||
| 945 | #include <arm_neon.h> | ||
| 946 | #endif | ||
| 947 | |||
| 948 | namespace fast_float { | ||
| 949 | |||
| 950 | template <typename UC> fastfloat_really_inline constexpr bool has_simd_opt() { | ||
| 951 | #ifdef FASTFLOAT_HAS_SIMD | ||
| 952 | return std::is_same<UC, char16_t>::value; | ||
| 953 | #else | ||
| 954 | return false; | ||
| 955 | #endif | ||
| 956 | } | ||
| 957 | |||
| 958 | // Next function can be micro-optimized, but compilers are entirely | ||
| 959 | // able to optimize it well. | ||
| 960 | template <typename UC> | ||
| 961 | fastfloat_really_inline constexpr bool is_integer(UC c) noexcept { | ||
| 962 | return !(c > UC('9') || c < UC('0')); | ||
| 963 | } | ||
| 964 | |||
| 965 | fastfloat_really_inline constexpr uint64_t byteswap(uint64_t val) { | ||
| 966 | return (val & 0xFF00000000000000) >> 56 | (val & 0x00FF000000000000) >> 40 | | ||
| 967 | (val & 0x0000FF0000000000) >> 24 | (val & 0x000000FF00000000) >> 8 | | ||
| 968 | (val & 0x00000000FF000000) << 8 | (val & 0x0000000000FF0000) << 24 | | ||
| 969 | (val & 0x000000000000FF00) << 40 | (val & 0x00000000000000FF) << 56; | ||
| 970 | } | ||
| 971 | |||
| 972 | // Read 8 UC into a u64. Truncates UC if not char. | ||
| 973 | template <typename UC> | ||
| 974 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t | ||
| 975 | read8_to_u64(const UC *chars) { | ||
| 976 | if (cpp20_and_in_constexpr() || !std::is_same<UC, char>::value) { | ||
| 977 | uint64_t val = 0; | ||
| 978 | for (int i = 0; i < 8; ++i) { | ||
| 979 | val |= uint64_t(uint8_t(*chars)) << (i * 8); | ||
| 980 | ++chars; | ||
| 981 | } | ||
| 982 | return val; | ||
| 983 | } | ||
| 984 | uint64_t val; | ||
| 985 | ::memcpy(&val, chars, sizeof(uint64_t)); | ||
| 986 | #if FASTFLOAT_IS_BIG_ENDIAN == 1 | ||
| 987 | // Need to read as-if the number was in little-endian order. | ||
| 988 | val = byteswap(val); | ||
| 989 | #endif | ||
| 990 | return val; | ||
| 991 | } | ||
| 992 | |||
| 993 | #ifdef FASTFLOAT_SSE2 | ||
| 994 | |||
| 995 | fastfloat_really_inline uint64_t simd_read8_to_u64(const __m128i data) { | ||
| 996 | FASTFLOAT_SIMD_DISABLE_WARNINGS | ||
| 997 | const __m128i packed = _mm_packus_epi16(data, data); | ||
| 998 | #ifdef FASTFLOAT_64BIT | ||
| 999 | return uint64_t(_mm_cvtsi128_si64(packed)); | ||
| 1000 | #else | ||
| 1001 | uint64_t value; | ||
| 1002 | // Visual Studio + older versions of GCC don't support _mm_storeu_si64 | ||
| 1003 | _mm_storel_epi64(reinterpret_cast<__m128i *>(&value), packed); | ||
| 1004 | return value; | ||
| 1005 | #endif | ||
| 1006 | FASTFLOAT_SIMD_RESTORE_WARNINGS | ||
| 1007 | } | ||
| 1008 | |||
| 1009 | fastfloat_really_inline uint64_t simd_read8_to_u64(const char16_t *chars) { | ||
| 1010 | FASTFLOAT_SIMD_DISABLE_WARNINGS | ||
| 1011 | return simd_read8_to_u64( | ||
| 1012 | _mm_loadu_si128(reinterpret_cast<const __m128i *>(chars))); | ||
| 1013 | FASTFLOAT_SIMD_RESTORE_WARNINGS | ||
| 1014 | } | ||
| 1015 | |||
| 1016 | #elif defined(FASTFLOAT_NEON) | ||
| 1017 | |||
| 1018 | fastfloat_really_inline uint64_t simd_read8_to_u64(const uint16x8_t data) { | ||
| 1019 | FASTFLOAT_SIMD_DISABLE_WARNINGS | ||
| 1020 | uint8x8_t utf8_packed = vmovn_u16(data); | ||
| 1021 | return vget_lane_u64(vreinterpret_u64_u8(utf8_packed), 0); | ||
| 1022 | FASTFLOAT_SIMD_RESTORE_WARNINGS | ||
| 1023 | } | ||
| 1024 | |||
| 1025 | fastfloat_really_inline uint64_t simd_read8_to_u64(const char16_t *chars) { | ||
| 1026 | FASTFLOAT_SIMD_DISABLE_WARNINGS | ||
| 1027 | return simd_read8_to_u64( | ||
| 1028 | vld1q_u16(reinterpret_cast<const uint16_t *>(chars))); | ||
| 1029 | FASTFLOAT_SIMD_RESTORE_WARNINGS | ||
| 1030 | } | ||
| 1031 | |||
| 1032 | #endif // FASTFLOAT_SSE2 | ||
| 1033 | |||
| 1034 | // MSVC SFINAE is broken pre-VS2017 | ||
| 1035 | #if defined(_MSC_VER) && _MSC_VER <= 1900 | ||
| 1036 | template <typename UC> | ||
| 1037 | #else | ||
| 1038 | template <typename UC, FASTFLOAT_ENABLE_IF(!has_simd_opt<UC>()) = 0> | ||
| 1039 | #endif | ||
| 1040 | // dummy for compile | ||
| 1041 | uint64_t simd_read8_to_u64(UC const *) { | ||
| 1042 | return 0; | ||
| 1043 | } | ||
| 1044 | |||
| 1045 | // credit @aqrit | ||
| 1046 | fastfloat_really_inline FASTFLOAT_CONSTEXPR14 uint32_t | ||
| 1047 | parse_eight_digits_unrolled(uint64_t val) { | ||
| 1048 | const uint64_t mask = 0x000000FF000000FF; | ||
| 1049 | const uint64_t mul1 = 0x000F424000000064; // 100 + (1000000ULL << 32) | ||
| 1050 | const uint64_t mul2 = 0x0000271000000001; // 1 + (10000ULL << 32) | ||
| 1051 | val -= 0x3030303030303030; | ||
| 1052 | val = (val * 10) + (val >> 8); // val = (val * 2561) >> 8; | ||
| 1053 | val = (((val & mask) * mul1) + (((val >> 16) & mask) * mul2)) >> 32; | ||
| 1054 | return uint32_t(val); | ||
| 1055 | } | ||
| 1056 | |||
| 1057 | // Call this if chars are definitely 8 digits. | ||
| 1058 | template <typename UC> | ||
| 1059 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint32_t | ||
| 1060 | parse_eight_digits_unrolled(UC const *chars) noexcept { | ||
| 1061 | if (cpp20_and_in_constexpr() || !has_simd_opt<UC>()) { | ||
| 1062 | return parse_eight_digits_unrolled(read8_to_u64(chars)); // truncation okay | ||
| 1063 | } | ||
| 1064 | return parse_eight_digits_unrolled(simd_read8_to_u64(chars)); | ||
| 1065 | } | ||
| 1066 | |||
| 1067 | // credit @aqrit | ||
| 1068 | fastfloat_really_inline constexpr bool | ||
| 1069 | is_made_of_eight_digits_fast(uint64_t val) noexcept { | ||
| 1070 | return !((((val + 0x4646464646464646) | (val - 0x3030303030303030)) & | ||
| 1071 | 0x8080808080808080)); | ||
| 1072 | } | ||
| 1073 | |||
| 1074 | #ifdef FASTFLOAT_HAS_SIMD | ||
| 1075 | |||
| 1076 | // Call this if chars might not be 8 digits. | ||
| 1077 | // Using this style (instead of is_made_of_eight_digits_fast() then | ||
| 1078 | // parse_eight_digits_unrolled()) ensures we don't load SIMD registers twice. | ||
| 1079 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool | ||
| 1080 | simd_parse_if_eight_digits_unrolled(const char16_t *chars, | ||
| 1081 | uint64_t &i) noexcept { | ||
| 1082 | if (cpp20_and_in_constexpr()) { | ||
| 1083 | return false; | ||
| 1084 | } | ||
| 1085 | #ifdef FASTFLOAT_SSE2 | ||
| 1086 | FASTFLOAT_SIMD_DISABLE_WARNINGS | ||
| 1087 | const __m128i data = | ||
| 1088 | _mm_loadu_si128(reinterpret_cast<const __m128i *>(chars)); | ||
| 1089 | |||
| 1090 | // (x - '0') <= 9 | ||
| 1091 | // http://0x80.pl/articles/simd-parsing-int-sequences.html | ||
| 1092 | const __m128i t0 = _mm_add_epi16(data, _mm_set1_epi16(32720)); | ||
| 1093 | const __m128i t1 = _mm_cmpgt_epi16(t0, _mm_set1_epi16(-32759)); | ||
| 1094 | |||
| 1095 | if (_mm_movemask_epi8(t1) == 0) { | ||
| 1096 | i = i * 100000000 + parse_eight_digits_unrolled(simd_read8_to_u64(data)); | ||
| 1097 | return true; | ||
| 1098 | } else | ||
| 1099 | return false; | ||
| 1100 | FASTFLOAT_SIMD_RESTORE_WARNINGS | ||
| 1101 | #elif defined(FASTFLOAT_NEON) | ||
| 1102 | FASTFLOAT_SIMD_DISABLE_WARNINGS | ||
| 1103 | const uint16x8_t data = vld1q_u16(reinterpret_cast<const uint16_t *>(chars)); | ||
| 1104 | |||
| 1105 | // (x - '0') <= 9 | ||
| 1106 | // http://0x80.pl/articles/simd-parsing-int-sequences.html | ||
| 1107 | const uint16x8_t t0 = vsubq_u16(data, vmovq_n_u16('0')); | ||
| 1108 | const uint16x8_t mask = vcltq_u16(t0, vmovq_n_u16('9' - '0' + 1)); | ||
| 1109 | |||
| 1110 | if (vminvq_u16(mask) == 0xFFFF) { | ||
| 1111 | i = i * 100000000 + parse_eight_digits_unrolled(simd_read8_to_u64(data)); | ||
| 1112 | return true; | ||
| 1113 | } else | ||
| 1114 | return false; | ||
| 1115 | FASTFLOAT_SIMD_RESTORE_WARNINGS | ||
| 1116 | #else | ||
| 1117 | (void)chars; | ||
| 1118 | (void)i; | ||
| 1119 | return false; | ||
| 1120 | #endif // FASTFLOAT_SSE2 | ||
| 1121 | } | ||
| 1122 | |||
| 1123 | #endif // FASTFLOAT_HAS_SIMD | ||
| 1124 | |||
| 1125 | // MSVC SFINAE is broken pre-VS2017 | ||
| 1126 | #if defined(_MSC_VER) && _MSC_VER <= 1900 | ||
| 1127 | template <typename UC> | ||
| 1128 | #else | ||
| 1129 | template <typename UC, FASTFLOAT_ENABLE_IF(!has_simd_opt<UC>()) = 0> | ||
| 1130 | #endif | ||
| 1131 | // dummy for compile | ||
| 1132 | bool simd_parse_if_eight_digits_unrolled(UC const *, uint64_t &) { | ||
| 1133 | return 0; | ||
| 1134 | } | ||
| 1135 | |||
| 1136 | template <typename UC, FASTFLOAT_ENABLE_IF(!std::is_same<UC, char>::value) = 0> | ||
| 1137 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void | ||
| 1138 | loop_parse_if_eight_digits(const UC *&p, const UC *const pend, uint64_t &i) { | ||
| 1139 | if (!has_simd_opt<UC>()) { | ||
| 1140 | return; | ||
| 1141 | } | ||
| 1142 | while ((std::distance(p, pend) >= 8) && | ||
| 1143 | simd_parse_if_eight_digits_unrolled( | ||
| 1144 | p, i)) { // in rare cases, this will overflow, but that's ok | ||
| 1145 | p += 8; | ||
| 1146 | } | ||
| 1147 | } | ||
| 1148 | |||
| 1149 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void | ||
| 1150 | loop_parse_if_eight_digits(const char *&p, const char *const pend, | ||
| 1151 | uint64_t &i) { | ||
| 1152 | // optimizes better than parse_if_eight_digits_unrolled() for UC = char. | ||
| 1153 | while ((std::distance(p, pend) >= 8) && | ||
| 1154 | is_made_of_eight_digits_fast(read8_to_u64(p))) { | ||
| 1155 | i = i * 100000000 + | ||
| 1156 | parse_eight_digits_unrolled(read8_to_u64( | ||
| 1157 | p)); // in rare cases, this will overflow, but that's ok | ||
| 1158 | p += 8; | ||
| 1159 | } | ||
| 1160 | } | ||
| 1161 | |||
| 1162 | enum class parse_error { | ||
| 1163 | no_error, | ||
| 1164 | // [JSON-only] The minus sign must be followed by an integer. | ||
| 1165 | missing_integer_after_sign, | ||
| 1166 | // A sign must be followed by an integer or dot. | ||
| 1167 | missing_integer_or_dot_after_sign, | ||
| 1168 | // [JSON-only] The integer part must not have leading zeros. | ||
| 1169 | leading_zeros_in_integer_part, | ||
| 1170 | // [JSON-only] The integer part must have at least one digit. | ||
| 1171 | no_digits_in_integer_part, | ||
| 1172 | // [JSON-only] If there is a decimal point, there must be digits in the | ||
| 1173 | // fractional part. | ||
| 1174 | no_digits_in_fractional_part, | ||
| 1175 | // The mantissa must have at least one digit. | ||
| 1176 | no_digits_in_mantissa, | ||
| 1177 | // Scientific notation requires an exponential part. | ||
| 1178 | missing_exponential_part, | ||
| 1179 | }; | ||
| 1180 | |||
| 1181 | template <typename UC> struct parsed_number_string_t { | ||
| 1182 | int64_t exponent{0}; | ||
| 1183 | uint64_t mantissa{0}; | ||
| 1184 | UC const *lastmatch{nullptr}; | ||
| 1185 | bool negative{false}; | ||
| 1186 | bool valid{false}; | ||
| 1187 | bool too_many_digits{false}; | ||
| 1188 | // contains the range of the significant digits | ||
| 1189 | span<const UC> integer{}; // non-nullable | ||
| 1190 | span<const UC> fraction{}; // nullable | ||
| 1191 | parse_error error{parse_error::no_error}; | ||
| 1192 | }; | ||
| 1193 | |||
| 1194 | using byte_span = span<const char>; | ||
| 1195 | using parsed_number_string = parsed_number_string_t<char>; | ||
| 1196 | |||
| 1197 | template <typename UC> | ||
| 1198 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 parsed_number_string_t<UC> | ||
| 1199 | report_parse_error(UC const *p, parse_error error) { | ||
| 1200 | parsed_number_string_t<UC> answer; | ||
| 1201 | answer.valid = false; | ||
| 1202 | answer.lastmatch = p; | ||
| 1203 | answer.error = error; | ||
| 1204 | return answer; | ||
| 1205 | } | ||
| 1206 | |||
| 1207 | // Assuming that you use no more than 19 digits, this will | ||
| 1208 | // parse an ASCII string. | ||
| 1209 | template <typename UC> | ||
| 1210 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 parsed_number_string_t<UC> | ||
| 1211 | parse_number_string(UC const *p, UC const *pend, | ||
| 1212 | parse_options_t<UC> options) noexcept { | ||
| 1213 | chars_format const fmt = options.format; | ||
| 1214 | UC const decimal_point = options.decimal_point; | ||
| 1215 | |||
| 1216 | parsed_number_string_t<UC> answer; | ||
| 1217 | answer.valid = false; | ||
| 1218 | answer.too_many_digits = false; | ||
| 1219 | answer.negative = (*p == UC('-')); | ||
| 1220 | #ifdef FASTFLOAT_ALLOWS_LEADING_PLUS // disabled by default | ||
| 1221 | if ((*p == UC('-')) || (!(fmt & FASTFLOAT_JSONFMT) && *p == UC('+'))) { | ||
| 1222 | #else | ||
| 1223 | if (*p == UC('-')) { // C++17 20.19.3.(7.1) explicitly forbids '+' sign here | ||
| 1224 | #endif | ||
| 1225 | ++p; | ||
| 1226 | if (p == pend) { | ||
| 1227 | return report_parse_error<UC>( | ||
| 1228 | p, parse_error::missing_integer_or_dot_after_sign); | ||
| 1229 | } | ||
| 1230 | if (fmt & FASTFLOAT_JSONFMT) { | ||
| 1231 | if (!is_integer(*p)) { // a sign must be followed by an integer | ||
| 1232 | return report_parse_error<UC>(p, | ||
| 1233 | parse_error::missing_integer_after_sign); | ||
| 1234 | } | ||
| 1235 | } else { | ||
| 1236 | if (!is_integer(*p) && | ||
| 1237 | (*p != | ||
| 1238 | decimal_point)) { // a sign must be followed by an integer or the dot | ||
| 1239 | return report_parse_error<UC>( | ||
| 1240 | p, parse_error::missing_integer_or_dot_after_sign); | ||
| 1241 | } | ||
| 1242 | } | ||
| 1243 | } | ||
| 1244 | UC const *const start_digits = p; | ||
| 1245 | |||
| 1246 | uint64_t i = 0; // an unsigned int avoids signed overflows (which are bad) | ||
| 1247 | |||
| 1248 | while ((p != pend) && is_integer(*p)) { | ||
| 1249 | // a multiplication by 10 is cheaper than an arbitrary integer | ||
| 1250 | // multiplication | ||
| 1251 | i = 10 * i + | ||
| 1252 | uint64_t(*p - | ||
| 1253 | UC('0')); // might overflow, we will handle the overflow later | ||
| 1254 | ++p; | ||
| 1255 | } | ||
| 1256 | UC const *const end_of_integer_part = p; | ||
| 1257 | int64_t digit_count = int64_t(end_of_integer_part - start_digits); | ||
| 1258 | answer.integer = span<const UC>(start_digits, size_t(digit_count)); | ||
| 1259 | if (fmt & FASTFLOAT_JSONFMT) { | ||
| 1260 | // at least 1 digit in integer part, without leading zeros | ||
| 1261 | if (digit_count == 0) { | ||
| 1262 | return report_parse_error<UC>(p, parse_error::no_digits_in_integer_part); | ||
| 1263 | } | ||
| 1264 | if ((start_digits[0] == UC('0') && digit_count > 1)) { | ||
| 1265 | return report_parse_error<UC>(start_digits, | ||
| 1266 | parse_error::leading_zeros_in_integer_part); | ||
| 1267 | } | ||
| 1268 | } | ||
| 1269 | |||
| 1270 | int64_t exponent = 0; | ||
| 1271 | const bool has_decimal_point = (p != pend) && (*p == decimal_point); | ||
| 1272 | if (has_decimal_point) { | ||
| 1273 | ++p; | ||
| 1274 | UC const *before = p; | ||
| 1275 | // can occur at most twice without overflowing, but let it occur more, since | ||
| 1276 | // for integers with many digits, digit parsing is the primary bottleneck. | ||
| 1277 | loop_parse_if_eight_digits(p, pend, i); | ||
| 1278 | |||
| 1279 | while ((p != pend) && is_integer(*p)) { | ||
| 1280 | uint8_t digit = uint8_t(*p - UC('0')); | ||
| 1281 | ++p; | ||
| 1282 | i = i * 10 + digit; // in rare cases, this will overflow, but that's ok | ||
| 1283 | } | ||
| 1284 | exponent = before - p; | ||
| 1285 | answer.fraction = span<const UC>(before, size_t(p - before)); | ||
| 1286 | digit_count -= exponent; | ||
| 1287 | } | ||
| 1288 | if (fmt & FASTFLOAT_JSONFMT) { | ||
| 1289 | // at least 1 digit in fractional part | ||
| 1290 | if (has_decimal_point && exponent == 0) { | ||
| 1291 | return report_parse_error<UC>(p, | ||
| 1292 | parse_error::no_digits_in_fractional_part); | ||
| 1293 | } | ||
| 1294 | } else if (digit_count == | ||
| 1295 | 0) { // we must have encountered at least one integer! | ||
| 1296 | return report_parse_error<UC>(p, parse_error::no_digits_in_mantissa); | ||
| 1297 | } | ||
| 1298 | int64_t exp_number = 0; // explicit exponential part | ||
| 1299 | if (((fmt & chars_format::scientific) && (p != pend) && | ||
| 1300 | ((UC('e') == *p) || (UC('E') == *p))) || | ||
| 1301 | ((fmt & FASTFLOAT_FORTRANFMT) && (p != pend) && | ||
| 1302 | ((UC('+') == *p) || (UC('-') == *p) || (UC('d') == *p) || | ||
| 1303 | (UC('D') == *p)))) { | ||
| 1304 | UC const *location_of_e = p; | ||
| 1305 | if ((UC('e') == *p) || (UC('E') == *p) || (UC('d') == *p) || | ||
| 1306 | (UC('D') == *p)) { | ||
| 1307 | ++p; | ||
| 1308 | } | ||
| 1309 | bool neg_exp = false; | ||
| 1310 | if ((p != pend) && (UC('-') == *p)) { | ||
| 1311 | neg_exp = true; | ||
| 1312 | ++p; | ||
| 1313 | } else if ((p != pend) && | ||
| 1314 | (UC('+') == | ||
| 1315 | *p)) { // '+' on exponent is allowed by C++17 20.19.3.(7.1) | ||
| 1316 | ++p; | ||
| 1317 | } | ||
| 1318 | if ((p == pend) || !is_integer(*p)) { | ||
| 1319 | if (!(fmt & chars_format::fixed)) { | ||
| 1320 | // The exponential part is invalid for scientific notation, so it must | ||
| 1321 | // be a trailing token for fixed notation. However, fixed notation is | ||
| 1322 | // disabled, so report a scientific notation error. | ||
| 1323 | return report_parse_error<UC>(p, parse_error::missing_exponential_part); | ||
| 1324 | } | ||
| 1325 | // Otherwise, we will be ignoring the 'e'. | ||
| 1326 | p = location_of_e; | ||
| 1327 | } else { | ||
| 1328 | while ((p != pend) && is_integer(*p)) { | ||
| 1329 | uint8_t digit = uint8_t(*p - UC('0')); | ||
| 1330 | if (exp_number < 0x10000000) { | ||
| 1331 | exp_number = 10 * exp_number + digit; | ||
| 1332 | } | ||
| 1333 | ++p; | ||
| 1334 | } | ||
| 1335 | if (neg_exp) { | ||
| 1336 | exp_number = -exp_number; | ||
| 1337 | } | ||
| 1338 | exponent += exp_number; | ||
| 1339 | } | ||
| 1340 | } else { | ||
| 1341 | // If it scientific and not fixed, we have to bail out. | ||
| 1342 | if ((fmt & chars_format::scientific) && !(fmt & chars_format::fixed)) { | ||
| 1343 | return report_parse_error<UC>(p, parse_error::missing_exponential_part); | ||
| 1344 | } | ||
| 1345 | } | ||
| 1346 | answer.lastmatch = p; | ||
| 1347 | answer.valid = true; | ||
| 1348 | |||
| 1349 | // If we frequently had to deal with long strings of digits, | ||
| 1350 | // we could extend our code by using a 128-bit integer instead | ||
| 1351 | // of a 64-bit integer. However, this is uncommon. | ||
| 1352 | // | ||
| 1353 | // We can deal with up to 19 digits. | ||
| 1354 | if (digit_count > 19) { // this is uncommon | ||
| 1355 | // It is possible that the integer had an overflow. | ||
| 1356 | // We have to handle the case where we have 0.0000somenumber. | ||
| 1357 | // We need to be mindful of the case where we only have zeroes... | ||
| 1358 | // E.g., 0.000000000...000. | ||
| 1359 | UC const *start = start_digits; | ||
| 1360 | while ((start != pend) && (*start == UC('0') || *start == decimal_point)) { | ||
| 1361 | if (*start == UC('0')) { | ||
| 1362 | digit_count--; | ||
| 1363 | } | ||
| 1364 | start++; | ||
| 1365 | } | ||
| 1366 | |||
| 1367 | if (digit_count > 19) { | ||
| 1368 | answer.too_many_digits = true; | ||
| 1369 | // Let us start again, this time, avoiding overflows. | ||
| 1370 | // We don't need to check if is_integer, since we use the | ||
| 1371 | // pre-tokenized spans from above. | ||
| 1372 | i = 0; | ||
| 1373 | p = answer.integer.ptr; | ||
| 1374 | UC const *int_end = p + answer.integer.len(); | ||
| 1375 | const uint64_t minimal_nineteen_digit_integer{1000000000000000000}; | ||
| 1376 | while ((i < minimal_nineteen_digit_integer) && (p != int_end)) { | ||
| 1377 | i = i * 10 + uint64_t(*p - UC('0')); | ||
| 1378 | ++p; | ||
| 1379 | } | ||
| 1380 | if (i >= minimal_nineteen_digit_integer) { // We have a big integers | ||
| 1381 | exponent = end_of_integer_part - p + exp_number; | ||
| 1382 | } else { // We have a value with a fractional component. | ||
| 1383 | p = answer.fraction.ptr; | ||
| 1384 | UC const *frac_end = p + answer.fraction.len(); | ||
| 1385 | while ((i < minimal_nineteen_digit_integer) && (p != frac_end)) { | ||
| 1386 | i = i * 10 + uint64_t(*p - UC('0')); | ||
| 1387 | ++p; | ||
| 1388 | } | ||
| 1389 | exponent = answer.fraction.ptr - p + exp_number; | ||
| 1390 | } | ||
| 1391 | // We have now corrected both exponent and i, to a truncated value | ||
| 1392 | } | ||
| 1393 | } | ||
| 1394 | answer.exponent = exponent; | ||
| 1395 | answer.mantissa = i; | ||
| 1396 | return answer; | ||
| 1397 | } | ||
| 1398 | |||
| 1399 | template <typename T, typename UC> | ||
| 1400 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> | ||
| 1401 | parse_int_string(UC const *p, UC const *pend, T &value, int base) { | ||
| 1402 | from_chars_result_t<UC> answer; | ||
| 1403 | |||
| 1404 | UC const *const first = p; | ||
| 1405 | |||
| 1406 | bool negative = (*p == UC('-')); | ||
| 1407 | if (!std::is_signed<T>::value && negative) { | ||
| 1408 | answer.ec = std::errc::invalid_argument; | ||
| 1409 | answer.ptr = first; | ||
| 1410 | return answer; | ||
| 1411 | } | ||
| 1412 | #ifdef FASTFLOAT_ALLOWS_LEADING_PLUS // disabled by default | ||
| 1413 | if ((*p == UC('-')) || (*p == UC('+'))) { | ||
| 1414 | #else | ||
| 1415 | if (*p == UC('-')) { | ||
| 1416 | #endif | ||
| 1417 | ++p; | ||
| 1418 | } | ||
| 1419 | |||
| 1420 | UC const *const start_num = p; | ||
| 1421 | |||
| 1422 | while (p != pend && *p == UC('0')) { | ||
| 1423 | ++p; | ||
| 1424 | } | ||
| 1425 | |||
| 1426 | const bool has_leading_zeros = p > start_num; | ||
| 1427 | |||
| 1428 | UC const *const start_digits = p; | ||
| 1429 | |||
| 1430 | uint64_t i = 0; | ||
| 1431 | if (base == 10) { | ||
| 1432 | loop_parse_if_eight_digits(p, pend, i); // use SIMD if possible | ||
| 1433 | } | ||
| 1434 | while (p != pend) { | ||
| 1435 | uint8_t digit = ch_to_digit(*p); | ||
| 1436 | if (digit >= base) { | ||
| 1437 | break; | ||
| 1438 | } | ||
| 1439 | i = uint64_t(base) * i + digit; // might overflow, check this later | ||
| 1440 | p++; | ||
| 1441 | } | ||
| 1442 | |||
| 1443 | size_t digit_count = size_t(p - start_digits); | ||
| 1444 | |||
| 1445 | if (digit_count == 0) { | ||
| 1446 | if (has_leading_zeros) { | ||
| 1447 | value = 0; | ||
| 1448 | answer.ec = std::errc(); | ||
| 1449 | answer.ptr = p; | ||
| 1450 | } else { | ||
| 1451 | answer.ec = std::errc::invalid_argument; | ||
| 1452 | answer.ptr = first; | ||
| 1453 | } | ||
| 1454 | return answer; | ||
| 1455 | } | ||
| 1456 | |||
| 1457 | answer.ptr = p; | ||
| 1458 | |||
| 1459 | // check u64 overflow | ||
| 1460 | size_t max_digits = max_digits_u64(base); | ||
| 1461 | if (digit_count > max_digits) { | ||
| 1462 | answer.ec = std::errc::result_out_of_range; | ||
| 1463 | return answer; | ||
| 1464 | } | ||
| 1465 | // this check can be eliminated for all other types, but they will all require | ||
| 1466 | // a max_digits(base) equivalent | ||
| 1467 | if (digit_count == max_digits && i < min_safe_u64(base)) { | ||
| 1468 | answer.ec = std::errc::result_out_of_range; | ||
| 1469 | return answer; | ||
| 1470 | } | ||
| 1471 | |||
| 1472 | // check other types overflow | ||
| 1473 | if (!std::is_same<T, uint64_t>::value) { | ||
| 1474 | if (i > uint64_t(std::numeric_limits<T>::max()) + uint64_t(negative)) { | ||
| 1475 | answer.ec = std::errc::result_out_of_range; | ||
| 1476 | return answer; | ||
| 1477 | } | ||
| 1478 | } | ||
| 1479 | |||
| 1480 | if (negative) { | ||
| 1481 | #ifdef FASTFLOAT_VISUAL_STUDIO | ||
| 1482 | #pragma warning(push) | ||
| 1483 | #pragma warning(disable : 4146) | ||
| 1484 | #endif | ||
| 1485 | // this weird workaround is required because: | ||
| 1486 | // - converting unsigned to signed when its value is greater than signed max | ||
| 1487 | // is UB pre-C++23. | ||
| 1488 | // - reinterpret_casting (~i + 1) would work, but it is not constexpr | ||
| 1489 | // this is always optimized into a neg instruction (note: T is an integer | ||
| 1490 | // type) | ||
| 1491 | value = T(-std::numeric_limits<T>::max() - | ||
| 1492 | T(i - uint64_t(std::numeric_limits<T>::max()))); | ||
| 1493 | #ifdef FASTFLOAT_VISUAL_STUDIO | ||
| 1494 | #pragma warning(pop) | ||
| 1495 | #endif | ||
| 1496 | } else { | ||
| 1497 | value = T(i); | ||
| 1498 | } | ||
| 1499 | |||
| 1500 | answer.ec = std::errc(); | ||
| 1501 | return answer; | ||
| 1502 | } | ||
| 1503 | |||
| 1504 | } // namespace fast_float | ||
| 1505 | |||
| 1506 | #endif | ||
| 1507 | |||
| 1508 | #ifndef FASTFLOAT_FAST_TABLE_H | ||
| 1509 | #define FASTFLOAT_FAST_TABLE_H | ||
| 1510 | |||
| 1511 | #include <cstdint> | ||
| 1512 | |||
| 1513 | namespace fast_float { | ||
| 1514 | |||
| 1515 | /** | ||
| 1516 | * When mapping numbers from decimal to binary, | ||
| 1517 | * we go from w * 10^q to m * 2^p but we have | ||
| 1518 | * 10^q = 5^q * 2^q, so effectively | ||
| 1519 | * we are trying to match | ||
| 1520 | * w * 2^q * 5^q to m * 2^p. Thus the powers of two | ||
| 1521 | * are not a concern since they can be represented | ||
| 1522 | * exactly using the binary notation, only the powers of five | ||
| 1523 | * affect the binary significand. | ||
| 1524 | */ | ||
| 1525 | |||
| 1526 | /** | ||
| 1527 | * The smallest non-zero float (binary64) is 2^-1074. | ||
| 1528 | * We take as input numbers of the form w x 10^q where w < 2^64. | ||
| 1529 | * We have that w * 10^-343 < 2^(64-344) 5^-343 < 2^-1076. | ||
| 1530 | * However, we have that | ||
| 1531 | * (2^64-1) * 10^-342 = (2^64-1) * 2^-342 * 5^-342 > 2^-1074. | ||
| 1532 | * Thus it is possible for a number of the form w * 10^-342 where | ||
| 1533 | * w is a 64-bit value to be a non-zero floating-point number. | ||
| 1534 | ********* | ||
| 1535 | * Any number of form w * 10^309 where w>= 1 is going to be | ||
| 1536 | * infinite in binary64 so we never need to worry about powers | ||
| 1537 | * of 5 greater than 308. | ||
| 1538 | */ | ||
| 1539 | template <class unused = void> struct powers_template { | ||
| 1540 | |||
| 1541 | constexpr static int smallest_power_of_five = | ||
| 1542 | binary_format<double>::smallest_power_of_ten(); | ||
| 1543 | constexpr static int largest_power_of_five = | ||
| 1544 | binary_format<double>::largest_power_of_ten(); | ||
| 1545 | constexpr static int number_of_entries = | ||
| 1546 | 2 * (largest_power_of_five - smallest_power_of_five + 1); | ||
| 1547 | // Powers of five from 5^-342 all the way to 5^308 rounded toward one. | ||
| 1548 | constexpr static uint64_t power_of_five_128[number_of_entries] = { | ||
| 1549 | 0xeef453d6923bd65a, 0x113faa2906a13b3f, | ||
| 1550 | 0x9558b4661b6565f8, 0x4ac7ca59a424c507, | ||
| 1551 | 0xbaaee17fa23ebf76, 0x5d79bcf00d2df649, | ||
| 1552 | 0xe95a99df8ace6f53, 0xf4d82c2c107973dc, | ||
| 1553 | 0x91d8a02bb6c10594, 0x79071b9b8a4be869, | ||
| 1554 | 0xb64ec836a47146f9, 0x9748e2826cdee284, | ||
| 1555 | 0xe3e27a444d8d98b7, 0xfd1b1b2308169b25, | ||
| 1556 | 0x8e6d8c6ab0787f72, 0xfe30f0f5e50e20f7, | ||
| 1557 | 0xb208ef855c969f4f, 0xbdbd2d335e51a935, | ||
| 1558 | 0xde8b2b66b3bc4723, 0xad2c788035e61382, | ||
| 1559 | 0x8b16fb203055ac76, 0x4c3bcb5021afcc31, | ||
| 1560 | 0xaddcb9e83c6b1793, 0xdf4abe242a1bbf3d, | ||
| 1561 | 0xd953e8624b85dd78, 0xd71d6dad34a2af0d, | ||
| 1562 | 0x87d4713d6f33aa6b, 0x8672648c40e5ad68, | ||
| 1563 | 0xa9c98d8ccb009506, 0x680efdaf511f18c2, | ||
| 1564 | 0xd43bf0effdc0ba48, 0x212bd1b2566def2, | ||
| 1565 | 0x84a57695fe98746d, 0x14bb630f7604b57, | ||
| 1566 | 0xa5ced43b7e3e9188, 0x419ea3bd35385e2d, | ||
| 1567 | 0xcf42894a5dce35ea, 0x52064cac828675b9, | ||
| 1568 | 0x818995ce7aa0e1b2, 0x7343efebd1940993, | ||
| 1569 | 0xa1ebfb4219491a1f, 0x1014ebe6c5f90bf8, | ||
| 1570 | 0xca66fa129f9b60a6, 0xd41a26e077774ef6, | ||
| 1571 | 0xfd00b897478238d0, 0x8920b098955522b4, | ||
| 1572 | 0x9e20735e8cb16382, 0x55b46e5f5d5535b0, | ||
| 1573 | 0xc5a890362fddbc62, 0xeb2189f734aa831d, | ||
| 1574 | 0xf712b443bbd52b7b, 0xa5e9ec7501d523e4, | ||
| 1575 | 0x9a6bb0aa55653b2d, 0x47b233c92125366e, | ||
| 1576 | 0xc1069cd4eabe89f8, 0x999ec0bb696e840a, | ||
| 1577 | 0xf148440a256e2c76, 0xc00670ea43ca250d, | ||
| 1578 | 0x96cd2a865764dbca, 0x380406926a5e5728, | ||
| 1579 | 0xbc807527ed3e12bc, 0xc605083704f5ecf2, | ||
| 1580 | 0xeba09271e88d976b, 0xf7864a44c633682e, | ||
| 1581 | 0x93445b8731587ea3, 0x7ab3ee6afbe0211d, | ||
| 1582 | 0xb8157268fdae9e4c, 0x5960ea05bad82964, | ||
| 1583 | 0xe61acf033d1a45df, 0x6fb92487298e33bd, | ||
| 1584 | 0x8fd0c16206306bab, 0xa5d3b6d479f8e056, | ||
| 1585 | 0xb3c4f1ba87bc8696, 0x8f48a4899877186c, | ||
| 1586 | 0xe0b62e2929aba83c, 0x331acdabfe94de87, | ||
| 1587 | 0x8c71dcd9ba0b4925, 0x9ff0c08b7f1d0b14, | ||
| 1588 | 0xaf8e5410288e1b6f, 0x7ecf0ae5ee44dd9, | ||
| 1589 | 0xdb71e91432b1a24a, 0xc9e82cd9f69d6150, | ||
| 1590 | 0x892731ac9faf056e, 0xbe311c083a225cd2, | ||
| 1591 | 0xab70fe17c79ac6ca, 0x6dbd630a48aaf406, | ||
| 1592 | 0xd64d3d9db981787d, 0x92cbbccdad5b108, | ||
| 1593 | 0x85f0468293f0eb4e, 0x25bbf56008c58ea5, | ||
| 1594 | 0xa76c582338ed2621, 0xaf2af2b80af6f24e, | ||
| 1595 | 0xd1476e2c07286faa, 0x1af5af660db4aee1, | ||
| 1596 | 0x82cca4db847945ca, 0x50d98d9fc890ed4d, | ||
| 1597 | 0xa37fce126597973c, 0xe50ff107bab528a0, | ||
| 1598 | 0xcc5fc196fefd7d0c, 0x1e53ed49a96272c8, | ||
| 1599 | 0xff77b1fcbebcdc4f, 0x25e8e89c13bb0f7a, | ||
| 1600 | 0x9faacf3df73609b1, 0x77b191618c54e9ac, | ||
| 1601 | 0xc795830d75038c1d, 0xd59df5b9ef6a2417, | ||
| 1602 | 0xf97ae3d0d2446f25, 0x4b0573286b44ad1d, | ||
| 1603 | 0x9becce62836ac577, 0x4ee367f9430aec32, | ||
| 1604 | 0xc2e801fb244576d5, 0x229c41f793cda73f, | ||
| 1605 | 0xf3a20279ed56d48a, 0x6b43527578c1110f, | ||
| 1606 | 0x9845418c345644d6, 0x830a13896b78aaa9, | ||
| 1607 | 0xbe5691ef416bd60c, 0x23cc986bc656d553, | ||
| 1608 | 0xedec366b11c6cb8f, 0x2cbfbe86b7ec8aa8, | ||
| 1609 | 0x94b3a202eb1c3f39, 0x7bf7d71432f3d6a9, | ||
| 1610 | 0xb9e08a83a5e34f07, 0xdaf5ccd93fb0cc53, | ||
| 1611 | 0xe858ad248f5c22c9, 0xd1b3400f8f9cff68, | ||
| 1612 | 0x91376c36d99995be, 0x23100809b9c21fa1, | ||
| 1613 | 0xb58547448ffffb2d, 0xabd40a0c2832a78a, | ||
| 1614 | 0xe2e69915b3fff9f9, 0x16c90c8f323f516c, | ||
| 1615 | 0x8dd01fad907ffc3b, 0xae3da7d97f6792e3, | ||
| 1616 | 0xb1442798f49ffb4a, 0x99cd11cfdf41779c, | ||
| 1617 | 0xdd95317f31c7fa1d, 0x40405643d711d583, | ||
| 1618 | 0x8a7d3eef7f1cfc52, 0x482835ea666b2572, | ||
| 1619 | 0xad1c8eab5ee43b66, 0xda3243650005eecf, | ||
| 1620 | 0xd863b256369d4a40, 0x90bed43e40076a82, | ||
| 1621 | 0x873e4f75e2224e68, 0x5a7744a6e804a291, | ||
| 1622 | 0xa90de3535aaae202, 0x711515d0a205cb36, | ||
| 1623 | 0xd3515c2831559a83, 0xd5a5b44ca873e03, | ||
| 1624 | 0x8412d9991ed58091, 0xe858790afe9486c2, | ||
| 1625 | 0xa5178fff668ae0b6, 0x626e974dbe39a872, | ||
| 1626 | 0xce5d73ff402d98e3, 0xfb0a3d212dc8128f, | ||
| 1627 | 0x80fa687f881c7f8e, 0x7ce66634bc9d0b99, | ||
| 1628 | 0xa139029f6a239f72, 0x1c1fffc1ebc44e80, | ||
| 1629 | 0xc987434744ac874e, 0xa327ffb266b56220, | ||
| 1630 | 0xfbe9141915d7a922, 0x4bf1ff9f0062baa8, | ||
| 1631 | 0x9d71ac8fada6c9b5, 0x6f773fc3603db4a9, | ||
| 1632 | 0xc4ce17b399107c22, 0xcb550fb4384d21d3, | ||
| 1633 | 0xf6019da07f549b2b, 0x7e2a53a146606a48, | ||
| 1634 | 0x99c102844f94e0fb, 0x2eda7444cbfc426d, | ||
| 1635 | 0xc0314325637a1939, 0xfa911155fefb5308, | ||
| 1636 | 0xf03d93eebc589f88, 0x793555ab7eba27ca, | ||
| 1637 | 0x96267c7535b763b5, 0x4bc1558b2f3458de, | ||
| 1638 | 0xbbb01b9283253ca2, 0x9eb1aaedfb016f16, | ||
| 1639 | 0xea9c227723ee8bcb, 0x465e15a979c1cadc, | ||
| 1640 | 0x92a1958a7675175f, 0xbfacd89ec191ec9, | ||
| 1641 | 0xb749faed14125d36, 0xcef980ec671f667b, | ||
| 1642 | 0xe51c79a85916f484, 0x82b7e12780e7401a, | ||
| 1643 | 0x8f31cc0937ae58d2, 0xd1b2ecb8b0908810, | ||
| 1644 | 0xb2fe3f0b8599ef07, 0x861fa7e6dcb4aa15, | ||
| 1645 | 0xdfbdcece67006ac9, 0x67a791e093e1d49a, | ||
| 1646 | 0x8bd6a141006042bd, 0xe0c8bb2c5c6d24e0, | ||
| 1647 | 0xaecc49914078536d, 0x58fae9f773886e18, | ||
| 1648 | 0xda7f5bf590966848, 0xaf39a475506a899e, | ||
| 1649 | 0x888f99797a5e012d, 0x6d8406c952429603, | ||
| 1650 | 0xaab37fd7d8f58178, 0xc8e5087ba6d33b83, | ||
| 1651 | 0xd5605fcdcf32e1d6, 0xfb1e4a9a90880a64, | ||
| 1652 | 0x855c3be0a17fcd26, 0x5cf2eea09a55067f, | ||
| 1653 | 0xa6b34ad8c9dfc06f, 0xf42faa48c0ea481e, | ||
| 1654 | 0xd0601d8efc57b08b, 0xf13b94daf124da26, | ||
| 1655 | 0x823c12795db6ce57, 0x76c53d08d6b70858, | ||
| 1656 | 0xa2cb1717b52481ed, 0x54768c4b0c64ca6e, | ||
| 1657 | 0xcb7ddcdda26da268, 0xa9942f5dcf7dfd09, | ||
| 1658 | 0xfe5d54150b090b02, 0xd3f93b35435d7c4c, | ||
| 1659 | 0x9efa548d26e5a6e1, 0xc47bc5014a1a6daf, | ||
| 1660 | 0xc6b8e9b0709f109a, 0x359ab6419ca1091b, | ||
| 1661 | 0xf867241c8cc6d4c0, 0xc30163d203c94b62, | ||
| 1662 | 0x9b407691d7fc44f8, 0x79e0de63425dcf1d, | ||
| 1663 | 0xc21094364dfb5636, 0x985915fc12f542e4, | ||
| 1664 | 0xf294b943e17a2bc4, 0x3e6f5b7b17b2939d, | ||
| 1665 | 0x979cf3ca6cec5b5a, 0xa705992ceecf9c42, | ||
| 1666 | 0xbd8430bd08277231, 0x50c6ff782a838353, | ||
| 1667 | 0xece53cec4a314ebd, 0xa4f8bf5635246428, | ||
| 1668 | 0x940f4613ae5ed136, 0x871b7795e136be99, | ||
| 1669 | 0xb913179899f68584, 0x28e2557b59846e3f, | ||
| 1670 | 0xe757dd7ec07426e5, 0x331aeada2fe589cf, | ||
| 1671 | 0x9096ea6f3848984f, 0x3ff0d2c85def7621, | ||
| 1672 | 0xb4bca50b065abe63, 0xfed077a756b53a9, | ||
| 1673 | 0xe1ebce4dc7f16dfb, 0xd3e8495912c62894, | ||
| 1674 | 0x8d3360f09cf6e4bd, 0x64712dd7abbbd95c, | ||
| 1675 | 0xb080392cc4349dec, 0xbd8d794d96aacfb3, | ||
| 1676 | 0xdca04777f541c567, 0xecf0d7a0fc5583a0, | ||
| 1677 | 0x89e42caaf9491b60, 0xf41686c49db57244, | ||
| 1678 | 0xac5d37d5b79b6239, 0x311c2875c522ced5, | ||
| 1679 | 0xd77485cb25823ac7, 0x7d633293366b828b, | ||
| 1680 | 0x86a8d39ef77164bc, 0xae5dff9c02033197, | ||
| 1681 | 0xa8530886b54dbdeb, 0xd9f57f830283fdfc, | ||
| 1682 | 0xd267caa862a12d66, 0xd072df63c324fd7b, | ||
| 1683 | 0x8380dea93da4bc60, 0x4247cb9e59f71e6d, | ||
| 1684 | 0xa46116538d0deb78, 0x52d9be85f074e608, | ||
| 1685 | 0xcd795be870516656, 0x67902e276c921f8b, | ||
| 1686 | 0x806bd9714632dff6, 0xba1cd8a3db53b6, | ||
| 1687 | 0xa086cfcd97bf97f3, 0x80e8a40eccd228a4, | ||
| 1688 | 0xc8a883c0fdaf7df0, 0x6122cd128006b2cd, | ||
| 1689 | 0xfad2a4b13d1b5d6c, 0x796b805720085f81, | ||
| 1690 | 0x9cc3a6eec6311a63, 0xcbe3303674053bb0, | ||
| 1691 | 0xc3f490aa77bd60fc, 0xbedbfc4411068a9c, | ||
| 1692 | 0xf4f1b4d515acb93b, 0xee92fb5515482d44, | ||
| 1693 | 0x991711052d8bf3c5, 0x751bdd152d4d1c4a, | ||
| 1694 | 0xbf5cd54678eef0b6, 0xd262d45a78a0635d, | ||
| 1695 | 0xef340a98172aace4, 0x86fb897116c87c34, | ||
| 1696 | 0x9580869f0e7aac0e, 0xd45d35e6ae3d4da0, | ||
| 1697 | 0xbae0a846d2195712, 0x8974836059cca109, | ||
| 1698 | 0xe998d258869facd7, 0x2bd1a438703fc94b, | ||
| 1699 | 0x91ff83775423cc06, 0x7b6306a34627ddcf, | ||
| 1700 | 0xb67f6455292cbf08, 0x1a3bc84c17b1d542, | ||
| 1701 | 0xe41f3d6a7377eeca, 0x20caba5f1d9e4a93, | ||
| 1702 | 0x8e938662882af53e, 0x547eb47b7282ee9c, | ||
| 1703 | 0xb23867fb2a35b28d, 0xe99e619a4f23aa43, | ||
| 1704 | 0xdec681f9f4c31f31, 0x6405fa00e2ec94d4, | ||
| 1705 | 0x8b3c113c38f9f37e, 0xde83bc408dd3dd04, | ||
| 1706 | 0xae0b158b4738705e, 0x9624ab50b148d445, | ||
| 1707 | 0xd98ddaee19068c76, 0x3badd624dd9b0957, | ||
| 1708 | 0x87f8a8d4cfa417c9, 0xe54ca5d70a80e5d6, | ||
| 1709 | 0xa9f6d30a038d1dbc, 0x5e9fcf4ccd211f4c, | ||
| 1710 | 0xd47487cc8470652b, 0x7647c3200069671f, | ||
| 1711 | 0x84c8d4dfd2c63f3b, 0x29ecd9f40041e073, | ||
| 1712 | 0xa5fb0a17c777cf09, 0xf468107100525890, | ||
| 1713 | 0xcf79cc9db955c2cc, 0x7182148d4066eeb4, | ||
| 1714 | 0x81ac1fe293d599bf, 0xc6f14cd848405530, | ||
| 1715 | 0xa21727db38cb002f, 0xb8ada00e5a506a7c, | ||
| 1716 | 0xca9cf1d206fdc03b, 0xa6d90811f0e4851c, | ||
| 1717 | 0xfd442e4688bd304a, 0x908f4a166d1da663, | ||
| 1718 | 0x9e4a9cec15763e2e, 0x9a598e4e043287fe, | ||
| 1719 | 0xc5dd44271ad3cdba, 0x40eff1e1853f29fd, | ||
| 1720 | 0xf7549530e188c128, 0xd12bee59e68ef47c, | ||
| 1721 | 0x9a94dd3e8cf578b9, 0x82bb74f8301958ce, | ||
| 1722 | 0xc13a148e3032d6e7, 0xe36a52363c1faf01, | ||
| 1723 | 0xf18899b1bc3f8ca1, 0xdc44e6c3cb279ac1, | ||
| 1724 | 0x96f5600f15a7b7e5, 0x29ab103a5ef8c0b9, | ||
| 1725 | 0xbcb2b812db11a5de, 0x7415d448f6b6f0e7, | ||
| 1726 | 0xebdf661791d60f56, 0x111b495b3464ad21, | ||
| 1727 | 0x936b9fcebb25c995, 0xcab10dd900beec34, | ||
| 1728 | 0xb84687c269ef3bfb, 0x3d5d514f40eea742, | ||
| 1729 | 0xe65829b3046b0afa, 0xcb4a5a3112a5112, | ||
| 1730 | 0x8ff71a0fe2c2e6dc, 0x47f0e785eaba72ab, | ||
| 1731 | 0xb3f4e093db73a093, 0x59ed216765690f56, | ||
| 1732 | 0xe0f218b8d25088b8, 0x306869c13ec3532c, | ||
| 1733 | 0x8c974f7383725573, 0x1e414218c73a13fb, | ||
| 1734 | 0xafbd2350644eeacf, 0xe5d1929ef90898fa, | ||
| 1735 | 0xdbac6c247d62a583, 0xdf45f746b74abf39, | ||
| 1736 | 0x894bc396ce5da772, 0x6b8bba8c328eb783, | ||
| 1737 | 0xab9eb47c81f5114f, 0x66ea92f3f326564, | ||
| 1738 | 0xd686619ba27255a2, 0xc80a537b0efefebd, | ||
| 1739 | 0x8613fd0145877585, 0xbd06742ce95f5f36, | ||
| 1740 | 0xa798fc4196e952e7, 0x2c48113823b73704, | ||
| 1741 | 0xd17f3b51fca3a7a0, 0xf75a15862ca504c5, | ||
| 1742 | 0x82ef85133de648c4, 0x9a984d73dbe722fb, | ||
| 1743 | 0xa3ab66580d5fdaf5, 0xc13e60d0d2e0ebba, | ||
| 1744 | 0xcc963fee10b7d1b3, 0x318df905079926a8, | ||
| 1745 | 0xffbbcfe994e5c61f, 0xfdf17746497f7052, | ||
| 1746 | 0x9fd561f1fd0f9bd3, 0xfeb6ea8bedefa633, | ||
| 1747 | 0xc7caba6e7c5382c8, 0xfe64a52ee96b8fc0, | ||
| 1748 | 0xf9bd690a1b68637b, 0x3dfdce7aa3c673b0, | ||
| 1749 | 0x9c1661a651213e2d, 0x6bea10ca65c084e, | ||
| 1750 | 0xc31bfa0fe5698db8, 0x486e494fcff30a62, | ||
| 1751 | 0xf3e2f893dec3f126, 0x5a89dba3c3efccfa, | ||
| 1752 | 0x986ddb5c6b3a76b7, 0xf89629465a75e01c, | ||
| 1753 | 0xbe89523386091465, 0xf6bbb397f1135823, | ||
| 1754 | 0xee2ba6c0678b597f, 0x746aa07ded582e2c, | ||
| 1755 | 0x94db483840b717ef, 0xa8c2a44eb4571cdc, | ||
| 1756 | 0xba121a4650e4ddeb, 0x92f34d62616ce413, | ||
| 1757 | 0xe896a0d7e51e1566, 0x77b020baf9c81d17, | ||
| 1758 | 0x915e2486ef32cd60, 0xace1474dc1d122e, | ||
| 1759 | 0xb5b5ada8aaff80b8, 0xd819992132456ba, | ||
| 1760 | 0xe3231912d5bf60e6, 0x10e1fff697ed6c69, | ||
| 1761 | 0x8df5efabc5979c8f, 0xca8d3ffa1ef463c1, | ||
| 1762 | 0xb1736b96b6fd83b3, 0xbd308ff8a6b17cb2, | ||
| 1763 | 0xddd0467c64bce4a0, 0xac7cb3f6d05ddbde, | ||
| 1764 | 0x8aa22c0dbef60ee4, 0x6bcdf07a423aa96b, | ||
| 1765 | 0xad4ab7112eb3929d, 0x86c16c98d2c953c6, | ||
| 1766 | 0xd89d64d57a607744, 0xe871c7bf077ba8b7, | ||
| 1767 | 0x87625f056c7c4a8b, 0x11471cd764ad4972, | ||
| 1768 | 0xa93af6c6c79b5d2d, 0xd598e40d3dd89bcf, | ||
| 1769 | 0xd389b47879823479, 0x4aff1d108d4ec2c3, | ||
| 1770 | 0x843610cb4bf160cb, 0xcedf722a585139ba, | ||
| 1771 | 0xa54394fe1eedb8fe, 0xc2974eb4ee658828, | ||
| 1772 | 0xce947a3da6a9273e, 0x733d226229feea32, | ||
| 1773 | 0x811ccc668829b887, 0x806357d5a3f525f, | ||
| 1774 | 0xa163ff802a3426a8, 0xca07c2dcb0cf26f7, | ||
| 1775 | 0xc9bcff6034c13052, 0xfc89b393dd02f0b5, | ||
| 1776 | 0xfc2c3f3841f17c67, 0xbbac2078d443ace2, | ||
| 1777 | 0x9d9ba7832936edc0, 0xd54b944b84aa4c0d, | ||
| 1778 | 0xc5029163f384a931, 0xa9e795e65d4df11, | ||
| 1779 | 0xf64335bcf065d37d, 0x4d4617b5ff4a16d5, | ||
| 1780 | 0x99ea0196163fa42e, 0x504bced1bf8e4e45, | ||
| 1781 | 0xc06481fb9bcf8d39, 0xe45ec2862f71e1d6, | ||
| 1782 | 0xf07da27a82c37088, 0x5d767327bb4e5a4c, | ||
| 1783 | 0x964e858c91ba2655, 0x3a6a07f8d510f86f, | ||
| 1784 | 0xbbe226efb628afea, 0x890489f70a55368b, | ||
| 1785 | 0xeadab0aba3b2dbe5, 0x2b45ac74ccea842e, | ||
| 1786 | 0x92c8ae6b464fc96f, 0x3b0b8bc90012929d, | ||
| 1787 | 0xb77ada0617e3bbcb, 0x9ce6ebb40173744, | ||
| 1788 | 0xe55990879ddcaabd, 0xcc420a6a101d0515, | ||
| 1789 | 0x8f57fa54c2a9eab6, 0x9fa946824a12232d, | ||
| 1790 | 0xb32df8e9f3546564, 0x47939822dc96abf9, | ||
| 1791 | 0xdff9772470297ebd, 0x59787e2b93bc56f7, | ||
| 1792 | 0x8bfbea76c619ef36, 0x57eb4edb3c55b65a, | ||
| 1793 | 0xaefae51477a06b03, 0xede622920b6b23f1, | ||
| 1794 | 0xdab99e59958885c4, 0xe95fab368e45eced, | ||
| 1795 | 0x88b402f7fd75539b, 0x11dbcb0218ebb414, | ||
| 1796 | 0xaae103b5fcd2a881, 0xd652bdc29f26a119, | ||
| 1797 | 0xd59944a37c0752a2, 0x4be76d3346f0495f, | ||
| 1798 | 0x857fcae62d8493a5, 0x6f70a4400c562ddb, | ||
| 1799 | 0xa6dfbd9fb8e5b88e, 0xcb4ccd500f6bb952, | ||
| 1800 | 0xd097ad07a71f26b2, 0x7e2000a41346a7a7, | ||
| 1801 | 0x825ecc24c873782f, 0x8ed400668c0c28c8, | ||
| 1802 | 0xa2f67f2dfa90563b, 0x728900802f0f32fa, | ||
| 1803 | 0xcbb41ef979346bca, 0x4f2b40a03ad2ffb9, | ||
| 1804 | 0xfea126b7d78186bc, 0xe2f610c84987bfa8, | ||
| 1805 | 0x9f24b832e6b0f436, 0xdd9ca7d2df4d7c9, | ||
| 1806 | 0xc6ede63fa05d3143, 0x91503d1c79720dbb, | ||
| 1807 | 0xf8a95fcf88747d94, 0x75a44c6397ce912a, | ||
| 1808 | 0x9b69dbe1b548ce7c, 0xc986afbe3ee11aba, | ||
| 1809 | 0xc24452da229b021b, 0xfbe85badce996168, | ||
| 1810 | 0xf2d56790ab41c2a2, 0xfae27299423fb9c3, | ||
| 1811 | 0x97c560ba6b0919a5, 0xdccd879fc967d41a, | ||
| 1812 | 0xbdb6b8e905cb600f, 0x5400e987bbc1c920, | ||
| 1813 | 0xed246723473e3813, 0x290123e9aab23b68, | ||
| 1814 | 0x9436c0760c86e30b, 0xf9a0b6720aaf6521, | ||
| 1815 | 0xb94470938fa89bce, 0xf808e40e8d5b3e69, | ||
| 1816 | 0xe7958cb87392c2c2, 0xb60b1d1230b20e04, | ||
| 1817 | 0x90bd77f3483bb9b9, 0xb1c6f22b5e6f48c2, | ||
| 1818 | 0xb4ecd5f01a4aa828, 0x1e38aeb6360b1af3, | ||
| 1819 | 0xe2280b6c20dd5232, 0x25c6da63c38de1b0, | ||
| 1820 | 0x8d590723948a535f, 0x579c487e5a38ad0e, | ||
| 1821 | 0xb0af48ec79ace837, 0x2d835a9df0c6d851, | ||
| 1822 | 0xdcdb1b2798182244, 0xf8e431456cf88e65, | ||
| 1823 | 0x8a08f0f8bf0f156b, 0x1b8e9ecb641b58ff, | ||
| 1824 | 0xac8b2d36eed2dac5, 0xe272467e3d222f3f, | ||
| 1825 | 0xd7adf884aa879177, 0x5b0ed81dcc6abb0f, | ||
| 1826 | 0x86ccbb52ea94baea, 0x98e947129fc2b4e9, | ||
| 1827 | 0xa87fea27a539e9a5, 0x3f2398d747b36224, | ||
| 1828 | 0xd29fe4b18e88640e, 0x8eec7f0d19a03aad, | ||
| 1829 | 0x83a3eeeef9153e89, 0x1953cf68300424ac, | ||
| 1830 | 0xa48ceaaab75a8e2b, 0x5fa8c3423c052dd7, | ||
| 1831 | 0xcdb02555653131b6, 0x3792f412cb06794d, | ||
| 1832 | 0x808e17555f3ebf11, 0xe2bbd88bbee40bd0, | ||
| 1833 | 0xa0b19d2ab70e6ed6, 0x5b6aceaeae9d0ec4, | ||
| 1834 | 0xc8de047564d20a8b, 0xf245825a5a445275, | ||
| 1835 | 0xfb158592be068d2e, 0xeed6e2f0f0d56712, | ||
| 1836 | 0x9ced737bb6c4183d, 0x55464dd69685606b, | ||
| 1837 | 0xc428d05aa4751e4c, 0xaa97e14c3c26b886, | ||
| 1838 | 0xf53304714d9265df, 0xd53dd99f4b3066a8, | ||
| 1839 | 0x993fe2c6d07b7fab, 0xe546a8038efe4029, | ||
| 1840 | 0xbf8fdb78849a5f96, 0xde98520472bdd033, | ||
| 1841 | 0xef73d256a5c0f77c, 0x963e66858f6d4440, | ||
| 1842 | 0x95a8637627989aad, 0xdde7001379a44aa8, | ||
| 1843 | 0xbb127c53b17ec159, 0x5560c018580d5d52, | ||
| 1844 | 0xe9d71b689dde71af, 0xaab8f01e6e10b4a6, | ||
| 1845 | 0x9226712162ab070d, 0xcab3961304ca70e8, | ||
| 1846 | 0xb6b00d69bb55c8d1, 0x3d607b97c5fd0d22, | ||
| 1847 | 0xe45c10c42a2b3b05, 0x8cb89a7db77c506a, | ||
| 1848 | 0x8eb98a7a9a5b04e3, 0x77f3608e92adb242, | ||
| 1849 | 0xb267ed1940f1c61c, 0x55f038b237591ed3, | ||
| 1850 | 0xdf01e85f912e37a3, 0x6b6c46dec52f6688, | ||
| 1851 | 0x8b61313bbabce2c6, 0x2323ac4b3b3da015, | ||
| 1852 | 0xae397d8aa96c1b77, 0xabec975e0a0d081a, | ||
| 1853 | 0xd9c7dced53c72255, 0x96e7bd358c904a21, | ||
| 1854 | 0x881cea14545c7575, 0x7e50d64177da2e54, | ||
| 1855 | 0xaa242499697392d2, 0xdde50bd1d5d0b9e9, | ||
| 1856 | 0xd4ad2dbfc3d07787, 0x955e4ec64b44e864, | ||
| 1857 | 0x84ec3c97da624ab4, 0xbd5af13bef0b113e, | ||
| 1858 | 0xa6274bbdd0fadd61, 0xecb1ad8aeacdd58e, | ||
| 1859 | 0xcfb11ead453994ba, 0x67de18eda5814af2, | ||
| 1860 | 0x81ceb32c4b43fcf4, 0x80eacf948770ced7, | ||
| 1861 | 0xa2425ff75e14fc31, 0xa1258379a94d028d, | ||
| 1862 | 0xcad2f7f5359a3b3e, 0x96ee45813a04330, | ||
| 1863 | 0xfd87b5f28300ca0d, 0x8bca9d6e188853fc, | ||
| 1864 | 0x9e74d1b791e07e48, 0x775ea264cf55347e, | ||
| 1865 | 0xc612062576589dda, 0x95364afe032a819e, | ||
| 1866 | 0xf79687aed3eec551, 0x3a83ddbd83f52205, | ||
| 1867 | 0x9abe14cd44753b52, 0xc4926a9672793543, | ||
| 1868 | 0xc16d9a0095928a27, 0x75b7053c0f178294, | ||
| 1869 | 0xf1c90080baf72cb1, 0x5324c68b12dd6339, | ||
| 1870 | 0x971da05074da7bee, 0xd3f6fc16ebca5e04, | ||
| 1871 | 0xbce5086492111aea, 0x88f4bb1ca6bcf585, | ||
| 1872 | 0xec1e4a7db69561a5, 0x2b31e9e3d06c32e6, | ||
| 1873 | 0x9392ee8e921d5d07, 0x3aff322e62439fd0, | ||
| 1874 | 0xb877aa3236a4b449, 0x9befeb9fad487c3, | ||
| 1875 | 0xe69594bec44de15b, 0x4c2ebe687989a9b4, | ||
| 1876 | 0x901d7cf73ab0acd9, 0xf9d37014bf60a11, | ||
| 1877 | 0xb424dc35095cd80f, 0x538484c19ef38c95, | ||
| 1878 | 0xe12e13424bb40e13, 0x2865a5f206b06fba, | ||
| 1879 | 0x8cbccc096f5088cb, 0xf93f87b7442e45d4, | ||
| 1880 | 0xafebff0bcb24aafe, 0xf78f69a51539d749, | ||
| 1881 | 0xdbe6fecebdedd5be, 0xb573440e5a884d1c, | ||
| 1882 | 0x89705f4136b4a597, 0x31680a88f8953031, | ||
| 1883 | 0xabcc77118461cefc, 0xfdc20d2b36ba7c3e, | ||
| 1884 | 0xd6bf94d5e57a42bc, 0x3d32907604691b4d, | ||
| 1885 | 0x8637bd05af6c69b5, 0xa63f9a49c2c1b110, | ||
| 1886 | 0xa7c5ac471b478423, 0xfcf80dc33721d54, | ||
| 1887 | 0xd1b71758e219652b, 0xd3c36113404ea4a9, | ||
| 1888 | 0x83126e978d4fdf3b, 0x645a1cac083126ea, | ||
| 1889 | 0xa3d70a3d70a3d70a, 0x3d70a3d70a3d70a4, | ||
| 1890 | 0xcccccccccccccccc, 0xcccccccccccccccd, | ||
| 1891 | 0x8000000000000000, 0x0, | ||
| 1892 | 0xa000000000000000, 0x0, | ||
| 1893 | 0xc800000000000000, 0x0, | ||
| 1894 | 0xfa00000000000000, 0x0, | ||
| 1895 | 0x9c40000000000000, 0x0, | ||
| 1896 | 0xc350000000000000, 0x0, | ||
| 1897 | 0xf424000000000000, 0x0, | ||
| 1898 | 0x9896800000000000, 0x0, | ||
| 1899 | 0xbebc200000000000, 0x0, | ||
| 1900 | 0xee6b280000000000, 0x0, | ||
| 1901 | 0x9502f90000000000, 0x0, | ||
| 1902 | 0xba43b74000000000, 0x0, | ||
| 1903 | 0xe8d4a51000000000, 0x0, | ||
| 1904 | 0x9184e72a00000000, 0x0, | ||
| 1905 | 0xb5e620f480000000, 0x0, | ||
| 1906 | 0xe35fa931a0000000, 0x0, | ||
| 1907 | 0x8e1bc9bf04000000, 0x0, | ||
| 1908 | 0xb1a2bc2ec5000000, 0x0, | ||
| 1909 | 0xde0b6b3a76400000, 0x0, | ||
| 1910 | 0x8ac7230489e80000, 0x0, | ||
| 1911 | 0xad78ebc5ac620000, 0x0, | ||
| 1912 | 0xd8d726b7177a8000, 0x0, | ||
| 1913 | 0x878678326eac9000, 0x0, | ||
| 1914 | 0xa968163f0a57b400, 0x0, | ||
| 1915 | 0xd3c21bcecceda100, 0x0, | ||
| 1916 | 0x84595161401484a0, 0x0, | ||
| 1917 | 0xa56fa5b99019a5c8, 0x0, | ||
| 1918 | 0xcecb8f27f4200f3a, 0x0, | ||
| 1919 | 0x813f3978f8940984, 0x4000000000000000, | ||
| 1920 | 0xa18f07d736b90be5, 0x5000000000000000, | ||
| 1921 | 0xc9f2c9cd04674ede, 0xa400000000000000, | ||
| 1922 | 0xfc6f7c4045812296, 0x4d00000000000000, | ||
| 1923 | 0x9dc5ada82b70b59d, 0xf020000000000000, | ||
| 1924 | 0xc5371912364ce305, 0x6c28000000000000, | ||
| 1925 | 0xf684df56c3e01bc6, 0xc732000000000000, | ||
| 1926 | 0x9a130b963a6c115c, 0x3c7f400000000000, | ||
| 1927 | 0xc097ce7bc90715b3, 0x4b9f100000000000, | ||
| 1928 | 0xf0bdc21abb48db20, 0x1e86d40000000000, | ||
| 1929 | 0x96769950b50d88f4, 0x1314448000000000, | ||
| 1930 | 0xbc143fa4e250eb31, 0x17d955a000000000, | ||
| 1931 | 0xeb194f8e1ae525fd, 0x5dcfab0800000000, | ||
| 1932 | 0x92efd1b8d0cf37be, 0x5aa1cae500000000, | ||
| 1933 | 0xb7abc627050305ad, 0xf14a3d9e40000000, | ||
| 1934 | 0xe596b7b0c643c719, 0x6d9ccd05d0000000, | ||
| 1935 | 0x8f7e32ce7bea5c6f, 0xe4820023a2000000, | ||
| 1936 | 0xb35dbf821ae4f38b, 0xdda2802c8a800000, | ||
| 1937 | 0xe0352f62a19e306e, 0xd50b2037ad200000, | ||
| 1938 | 0x8c213d9da502de45, 0x4526f422cc340000, | ||
| 1939 | 0xaf298d050e4395d6, 0x9670b12b7f410000, | ||
| 1940 | 0xdaf3f04651d47b4c, 0x3c0cdd765f114000, | ||
| 1941 | 0x88d8762bf324cd0f, 0xa5880a69fb6ac800, | ||
| 1942 | 0xab0e93b6efee0053, 0x8eea0d047a457a00, | ||
| 1943 | 0xd5d238a4abe98068, 0x72a4904598d6d880, | ||
| 1944 | 0x85a36366eb71f041, 0x47a6da2b7f864750, | ||
| 1945 | 0xa70c3c40a64e6c51, 0x999090b65f67d924, | ||
| 1946 | 0xd0cf4b50cfe20765, 0xfff4b4e3f741cf6d, | ||
| 1947 | 0x82818f1281ed449f, 0xbff8f10e7a8921a4, | ||
| 1948 | 0xa321f2d7226895c7, 0xaff72d52192b6a0d, | ||
| 1949 | 0xcbea6f8ceb02bb39, 0x9bf4f8a69f764490, | ||
| 1950 | 0xfee50b7025c36a08, 0x2f236d04753d5b4, | ||
| 1951 | 0x9f4f2726179a2245, 0x1d762422c946590, | ||
| 1952 | 0xc722f0ef9d80aad6, 0x424d3ad2b7b97ef5, | ||
| 1953 | 0xf8ebad2b84e0d58b, 0xd2e0898765a7deb2, | ||
| 1954 | 0x9b934c3b330c8577, 0x63cc55f49f88eb2f, | ||
| 1955 | 0xc2781f49ffcfa6d5, 0x3cbf6b71c76b25fb, | ||
| 1956 | 0xf316271c7fc3908a, 0x8bef464e3945ef7a, | ||
| 1957 | 0x97edd871cfda3a56, 0x97758bf0e3cbb5ac, | ||
| 1958 | 0xbde94e8e43d0c8ec, 0x3d52eeed1cbea317, | ||
| 1959 | 0xed63a231d4c4fb27, 0x4ca7aaa863ee4bdd, | ||
| 1960 | 0x945e455f24fb1cf8, 0x8fe8caa93e74ef6a, | ||
| 1961 | 0xb975d6b6ee39e436, 0xb3e2fd538e122b44, | ||
| 1962 | 0xe7d34c64a9c85d44, 0x60dbbca87196b616, | ||
| 1963 | 0x90e40fbeea1d3a4a, 0xbc8955e946fe31cd, | ||
| 1964 | 0xb51d13aea4a488dd, 0x6babab6398bdbe41, | ||
| 1965 | 0xe264589a4dcdab14, 0xc696963c7eed2dd1, | ||
| 1966 | 0x8d7eb76070a08aec, 0xfc1e1de5cf543ca2, | ||
| 1967 | 0xb0de65388cc8ada8, 0x3b25a55f43294bcb, | ||
| 1968 | 0xdd15fe86affad912, 0x49ef0eb713f39ebe, | ||
| 1969 | 0x8a2dbf142dfcc7ab, 0x6e3569326c784337, | ||
| 1970 | 0xacb92ed9397bf996, 0x49c2c37f07965404, | ||
| 1971 | 0xd7e77a8f87daf7fb, 0xdc33745ec97be906, | ||
| 1972 | 0x86f0ac99b4e8dafd, 0x69a028bb3ded71a3, | ||
| 1973 | 0xa8acd7c0222311bc, 0xc40832ea0d68ce0c, | ||
| 1974 | 0xd2d80db02aabd62b, 0xf50a3fa490c30190, | ||
| 1975 | 0x83c7088e1aab65db, 0x792667c6da79e0fa, | ||
| 1976 | 0xa4b8cab1a1563f52, 0x577001b891185938, | ||
| 1977 | 0xcde6fd5e09abcf26, 0xed4c0226b55e6f86, | ||
| 1978 | 0x80b05e5ac60b6178, 0x544f8158315b05b4, | ||
| 1979 | 0xa0dc75f1778e39d6, 0x696361ae3db1c721, | ||
| 1980 | 0xc913936dd571c84c, 0x3bc3a19cd1e38e9, | ||
| 1981 | 0xfb5878494ace3a5f, 0x4ab48a04065c723, | ||
| 1982 | 0x9d174b2dcec0e47b, 0x62eb0d64283f9c76, | ||
| 1983 | 0xc45d1df942711d9a, 0x3ba5d0bd324f8394, | ||
| 1984 | 0xf5746577930d6500, 0xca8f44ec7ee36479, | ||
| 1985 | 0x9968bf6abbe85f20, 0x7e998b13cf4e1ecb, | ||
| 1986 | 0xbfc2ef456ae276e8, 0x9e3fedd8c321a67e, | ||
| 1987 | 0xefb3ab16c59b14a2, 0xc5cfe94ef3ea101e, | ||
| 1988 | 0x95d04aee3b80ece5, 0xbba1f1d158724a12, | ||
| 1989 | 0xbb445da9ca61281f, 0x2a8a6e45ae8edc97, | ||
| 1990 | 0xea1575143cf97226, 0xf52d09d71a3293bd, | ||
| 1991 | 0x924d692ca61be758, 0x593c2626705f9c56, | ||
| 1992 | 0xb6e0c377cfa2e12e, 0x6f8b2fb00c77836c, | ||
| 1993 | 0xe498f455c38b997a, 0xb6dfb9c0f956447, | ||
| 1994 | 0x8edf98b59a373fec, 0x4724bd4189bd5eac, | ||
| 1995 | 0xb2977ee300c50fe7, 0x58edec91ec2cb657, | ||
| 1996 | 0xdf3d5e9bc0f653e1, 0x2f2967b66737e3ed, | ||
| 1997 | 0x8b865b215899f46c, 0xbd79e0d20082ee74, | ||
| 1998 | 0xae67f1e9aec07187, 0xecd8590680a3aa11, | ||
| 1999 | 0xda01ee641a708de9, 0xe80e6f4820cc9495, | ||
| 2000 | 0x884134fe908658b2, 0x3109058d147fdcdd, | ||
| 2001 | 0xaa51823e34a7eede, 0xbd4b46f0599fd415, | ||
| 2002 | 0xd4e5e2cdc1d1ea96, 0x6c9e18ac7007c91a, | ||
| 2003 | 0x850fadc09923329e, 0x3e2cf6bc604ddb0, | ||
| 2004 | 0xa6539930bf6bff45, 0x84db8346b786151c, | ||
| 2005 | 0xcfe87f7cef46ff16, 0xe612641865679a63, | ||
| 2006 | 0x81f14fae158c5f6e, 0x4fcb7e8f3f60c07e, | ||
| 2007 | 0xa26da3999aef7749, 0xe3be5e330f38f09d, | ||
| 2008 | 0xcb090c8001ab551c, 0x5cadf5bfd3072cc5, | ||
| 2009 | 0xfdcb4fa002162a63, 0x73d9732fc7c8f7f6, | ||
| 2010 | 0x9e9f11c4014dda7e, 0x2867e7fddcdd9afa, | ||
| 2011 | 0xc646d63501a1511d, 0xb281e1fd541501b8, | ||
| 2012 | 0xf7d88bc24209a565, 0x1f225a7ca91a4226, | ||
| 2013 | 0x9ae757596946075f, 0x3375788de9b06958, | ||
| 2014 | 0xc1a12d2fc3978937, 0x52d6b1641c83ae, | ||
| 2015 | 0xf209787bb47d6b84, 0xc0678c5dbd23a49a, | ||
| 2016 | 0x9745eb4d50ce6332, 0xf840b7ba963646e0, | ||
| 2017 | 0xbd176620a501fbff, 0xb650e5a93bc3d898, | ||
| 2018 | 0xec5d3fa8ce427aff, 0xa3e51f138ab4cebe, | ||
| 2019 | 0x93ba47c980e98cdf, 0xc66f336c36b10137, | ||
| 2020 | 0xb8a8d9bbe123f017, 0xb80b0047445d4184, | ||
| 2021 | 0xe6d3102ad96cec1d, 0xa60dc059157491e5, | ||
| 2022 | 0x9043ea1ac7e41392, 0x87c89837ad68db2f, | ||
| 2023 | 0xb454e4a179dd1877, 0x29babe4598c311fb, | ||
| 2024 | 0xe16a1dc9d8545e94, 0xf4296dd6fef3d67a, | ||
| 2025 | 0x8ce2529e2734bb1d, 0x1899e4a65f58660c, | ||
| 2026 | 0xb01ae745b101e9e4, 0x5ec05dcff72e7f8f, | ||
| 2027 | 0xdc21a1171d42645d, 0x76707543f4fa1f73, | ||
| 2028 | 0x899504ae72497eba, 0x6a06494a791c53a8, | ||
| 2029 | 0xabfa45da0edbde69, 0x487db9d17636892, | ||
| 2030 | 0xd6f8d7509292d603, 0x45a9d2845d3c42b6, | ||
| 2031 | 0x865b86925b9bc5c2, 0xb8a2392ba45a9b2, | ||
| 2032 | 0xa7f26836f282b732, 0x8e6cac7768d7141e, | ||
| 2033 | 0xd1ef0244af2364ff, 0x3207d795430cd926, | ||
| 2034 | 0x8335616aed761f1f, 0x7f44e6bd49e807b8, | ||
| 2035 | 0xa402b9c5a8d3a6e7, 0x5f16206c9c6209a6, | ||
| 2036 | 0xcd036837130890a1, 0x36dba887c37a8c0f, | ||
| 2037 | 0x802221226be55a64, 0xc2494954da2c9789, | ||
| 2038 | 0xa02aa96b06deb0fd, 0xf2db9baa10b7bd6c, | ||
| 2039 | 0xc83553c5c8965d3d, 0x6f92829494e5acc7, | ||
| 2040 | 0xfa42a8b73abbf48c, 0xcb772339ba1f17f9, | ||
| 2041 | 0x9c69a97284b578d7, 0xff2a760414536efb, | ||
| 2042 | 0xc38413cf25e2d70d, 0xfef5138519684aba, | ||
| 2043 | 0xf46518c2ef5b8cd1, 0x7eb258665fc25d69, | ||
| 2044 | 0x98bf2f79d5993802, 0xef2f773ffbd97a61, | ||
| 2045 | 0xbeeefb584aff8603, 0xaafb550ffacfd8fa, | ||
| 2046 | 0xeeaaba2e5dbf6784, 0x95ba2a53f983cf38, | ||
| 2047 | 0x952ab45cfa97a0b2, 0xdd945a747bf26183, | ||
| 2048 | 0xba756174393d88df, 0x94f971119aeef9e4, | ||
| 2049 | 0xe912b9d1478ceb17, 0x7a37cd5601aab85d, | ||
| 2050 | 0x91abb422ccb812ee, 0xac62e055c10ab33a, | ||
| 2051 | 0xb616a12b7fe617aa, 0x577b986b314d6009, | ||
| 2052 | 0xe39c49765fdf9d94, 0xed5a7e85fda0b80b, | ||
| 2053 | 0x8e41ade9fbebc27d, 0x14588f13be847307, | ||
| 2054 | 0xb1d219647ae6b31c, 0x596eb2d8ae258fc8, | ||
| 2055 | 0xde469fbd99a05fe3, 0x6fca5f8ed9aef3bb, | ||
| 2056 | 0x8aec23d680043bee, 0x25de7bb9480d5854, | ||
| 2057 | 0xada72ccc20054ae9, 0xaf561aa79a10ae6a, | ||
| 2058 | 0xd910f7ff28069da4, 0x1b2ba1518094da04, | ||
| 2059 | 0x87aa9aff79042286, 0x90fb44d2f05d0842, | ||
| 2060 | 0xa99541bf57452b28, 0x353a1607ac744a53, | ||
| 2061 | 0xd3fa922f2d1675f2, 0x42889b8997915ce8, | ||
| 2062 | 0x847c9b5d7c2e09b7, 0x69956135febada11, | ||
| 2063 | 0xa59bc234db398c25, 0x43fab9837e699095, | ||
| 2064 | 0xcf02b2c21207ef2e, 0x94f967e45e03f4bb, | ||
| 2065 | 0x8161afb94b44f57d, 0x1d1be0eebac278f5, | ||
| 2066 | 0xa1ba1ba79e1632dc, 0x6462d92a69731732, | ||
| 2067 | 0xca28a291859bbf93, 0x7d7b8f7503cfdcfe, | ||
| 2068 | 0xfcb2cb35e702af78, 0x5cda735244c3d43e, | ||
| 2069 | 0x9defbf01b061adab, 0x3a0888136afa64a7, | ||
| 2070 | 0xc56baec21c7a1916, 0x88aaa1845b8fdd0, | ||
| 2071 | 0xf6c69a72a3989f5b, 0x8aad549e57273d45, | ||
| 2072 | 0x9a3c2087a63f6399, 0x36ac54e2f678864b, | ||
| 2073 | 0xc0cb28a98fcf3c7f, 0x84576a1bb416a7dd, | ||
| 2074 | 0xf0fdf2d3f3c30b9f, 0x656d44a2a11c51d5, | ||
| 2075 | 0x969eb7c47859e743, 0x9f644ae5a4b1b325, | ||
| 2076 | 0xbc4665b596706114, 0x873d5d9f0dde1fee, | ||
| 2077 | 0xeb57ff22fc0c7959, 0xa90cb506d155a7ea, | ||
| 2078 | 0x9316ff75dd87cbd8, 0x9a7f12442d588f2, | ||
| 2079 | 0xb7dcbf5354e9bece, 0xc11ed6d538aeb2f, | ||
| 2080 | 0xe5d3ef282a242e81, 0x8f1668c8a86da5fa, | ||
| 2081 | 0x8fa475791a569d10, 0xf96e017d694487bc, | ||
| 2082 | 0xb38d92d760ec4455, 0x37c981dcc395a9ac, | ||
| 2083 | 0xe070f78d3927556a, 0x85bbe253f47b1417, | ||
| 2084 | 0x8c469ab843b89562, 0x93956d7478ccec8e, | ||
| 2085 | 0xaf58416654a6babb, 0x387ac8d1970027b2, | ||
| 2086 | 0xdb2e51bfe9d0696a, 0x6997b05fcc0319e, | ||
| 2087 | 0x88fcf317f22241e2, 0x441fece3bdf81f03, | ||
| 2088 | 0xab3c2fddeeaad25a, 0xd527e81cad7626c3, | ||
| 2089 | 0xd60b3bd56a5586f1, 0x8a71e223d8d3b074, | ||
| 2090 | 0x85c7056562757456, 0xf6872d5667844e49, | ||
| 2091 | 0xa738c6bebb12d16c, 0xb428f8ac016561db, | ||
| 2092 | 0xd106f86e69d785c7, 0xe13336d701beba52, | ||
| 2093 | 0x82a45b450226b39c, 0xecc0024661173473, | ||
| 2094 | 0xa34d721642b06084, 0x27f002d7f95d0190, | ||
| 2095 | 0xcc20ce9bd35c78a5, 0x31ec038df7b441f4, | ||
| 2096 | 0xff290242c83396ce, 0x7e67047175a15271, | ||
| 2097 | 0x9f79a169bd203e41, 0xf0062c6e984d386, | ||
| 2098 | 0xc75809c42c684dd1, 0x52c07b78a3e60868, | ||
| 2099 | 0xf92e0c3537826145, 0xa7709a56ccdf8a82, | ||
| 2100 | 0x9bbcc7a142b17ccb, 0x88a66076400bb691, | ||
| 2101 | 0xc2abf989935ddbfe, 0x6acff893d00ea435, | ||
| 2102 | 0xf356f7ebf83552fe, 0x583f6b8c4124d43, | ||
| 2103 | 0x98165af37b2153de, 0xc3727a337a8b704a, | ||
| 2104 | 0xbe1bf1b059e9a8d6, 0x744f18c0592e4c5c, | ||
| 2105 | 0xeda2ee1c7064130c, 0x1162def06f79df73, | ||
| 2106 | 0x9485d4d1c63e8be7, 0x8addcb5645ac2ba8, | ||
| 2107 | 0xb9a74a0637ce2ee1, 0x6d953e2bd7173692, | ||
| 2108 | 0xe8111c87c5c1ba99, 0xc8fa8db6ccdd0437, | ||
| 2109 | 0x910ab1d4db9914a0, 0x1d9c9892400a22a2, | ||
| 2110 | 0xb54d5e4a127f59c8, 0x2503beb6d00cab4b, | ||
| 2111 | 0xe2a0b5dc971f303a, 0x2e44ae64840fd61d, | ||
| 2112 | 0x8da471a9de737e24, 0x5ceaecfed289e5d2, | ||
| 2113 | 0xb10d8e1456105dad, 0x7425a83e872c5f47, | ||
| 2114 | 0xdd50f1996b947518, 0xd12f124e28f77719, | ||
| 2115 | 0x8a5296ffe33cc92f, 0x82bd6b70d99aaa6f, | ||
| 2116 | 0xace73cbfdc0bfb7b, 0x636cc64d1001550b, | ||
| 2117 | 0xd8210befd30efa5a, 0x3c47f7e05401aa4e, | ||
| 2118 | 0x8714a775e3e95c78, 0x65acfaec34810a71, | ||
| 2119 | 0xa8d9d1535ce3b396, 0x7f1839a741a14d0d, | ||
| 2120 | 0xd31045a8341ca07c, 0x1ede48111209a050, | ||
| 2121 | 0x83ea2b892091e44d, 0x934aed0aab460432, | ||
| 2122 | 0xa4e4b66b68b65d60, 0xf81da84d5617853f, | ||
| 2123 | 0xce1de40642e3f4b9, 0x36251260ab9d668e, | ||
| 2124 | 0x80d2ae83e9ce78f3, 0xc1d72b7c6b426019, | ||
| 2125 | 0xa1075a24e4421730, 0xb24cf65b8612f81f, | ||
| 2126 | 0xc94930ae1d529cfc, 0xdee033f26797b627, | ||
| 2127 | 0xfb9b7cd9a4a7443c, 0x169840ef017da3b1, | ||
| 2128 | 0x9d412e0806e88aa5, 0x8e1f289560ee864e, | ||
| 2129 | 0xc491798a08a2ad4e, 0xf1a6f2bab92a27e2, | ||
| 2130 | 0xf5b5d7ec8acb58a2, 0xae10af696774b1db, | ||
| 2131 | 0x9991a6f3d6bf1765, 0xacca6da1e0a8ef29, | ||
| 2132 | 0xbff610b0cc6edd3f, 0x17fd090a58d32af3, | ||
| 2133 | 0xeff394dcff8a948e, 0xddfc4b4cef07f5b0, | ||
| 2134 | 0x95f83d0a1fb69cd9, 0x4abdaf101564f98e, | ||
| 2135 | 0xbb764c4ca7a4440f, 0x9d6d1ad41abe37f1, | ||
| 2136 | 0xea53df5fd18d5513, 0x84c86189216dc5ed, | ||
| 2137 | 0x92746b9be2f8552c, 0x32fd3cf5b4e49bb4, | ||
| 2138 | 0xb7118682dbb66a77, 0x3fbc8c33221dc2a1, | ||
| 2139 | 0xe4d5e82392a40515, 0xfabaf3feaa5334a, | ||
| 2140 | 0x8f05b1163ba6832d, 0x29cb4d87f2a7400e, | ||
| 2141 | 0xb2c71d5bca9023f8, 0x743e20e9ef511012, | ||
| 2142 | 0xdf78e4b2bd342cf6, 0x914da9246b255416, | ||
| 2143 | 0x8bab8eefb6409c1a, 0x1ad089b6c2f7548e, | ||
| 2144 | 0xae9672aba3d0c320, 0xa184ac2473b529b1, | ||
| 2145 | 0xda3c0f568cc4f3e8, 0xc9e5d72d90a2741e, | ||
| 2146 | 0x8865899617fb1871, 0x7e2fa67c7a658892, | ||
| 2147 | 0xaa7eebfb9df9de8d, 0xddbb901b98feeab7, | ||
| 2148 | 0xd51ea6fa85785631, 0x552a74227f3ea565, | ||
| 2149 | 0x8533285c936b35de, 0xd53a88958f87275f, | ||
| 2150 | 0xa67ff273b8460356, 0x8a892abaf368f137, | ||
| 2151 | 0xd01fef10a657842c, 0x2d2b7569b0432d85, | ||
| 2152 | 0x8213f56a67f6b29b, 0x9c3b29620e29fc73, | ||
| 2153 | 0xa298f2c501f45f42, 0x8349f3ba91b47b8f, | ||
| 2154 | 0xcb3f2f7642717713, 0x241c70a936219a73, | ||
| 2155 | 0xfe0efb53d30dd4d7, 0xed238cd383aa0110, | ||
| 2156 | 0x9ec95d1463e8a506, 0xf4363804324a40aa, | ||
| 2157 | 0xc67bb4597ce2ce48, 0xb143c6053edcd0d5, | ||
| 2158 | 0xf81aa16fdc1b81da, 0xdd94b7868e94050a, | ||
| 2159 | 0x9b10a4e5e9913128, 0xca7cf2b4191c8326, | ||
| 2160 | 0xc1d4ce1f63f57d72, 0xfd1c2f611f63a3f0, | ||
| 2161 | 0xf24a01a73cf2dccf, 0xbc633b39673c8cec, | ||
| 2162 | 0x976e41088617ca01, 0xd5be0503e085d813, | ||
| 2163 | 0xbd49d14aa79dbc82, 0x4b2d8644d8a74e18, | ||
| 2164 | 0xec9c459d51852ba2, 0xddf8e7d60ed1219e, | ||
| 2165 | 0x93e1ab8252f33b45, 0xcabb90e5c942b503, | ||
| 2166 | 0xb8da1662e7b00a17, 0x3d6a751f3b936243, | ||
| 2167 | 0xe7109bfba19c0c9d, 0xcc512670a783ad4, | ||
| 2168 | 0x906a617d450187e2, 0x27fb2b80668b24c5, | ||
| 2169 | 0xb484f9dc9641e9da, 0xb1f9f660802dedf6, | ||
| 2170 | 0xe1a63853bbd26451, 0x5e7873f8a0396973, | ||
| 2171 | 0x8d07e33455637eb2, 0xdb0b487b6423e1e8, | ||
| 2172 | 0xb049dc016abc5e5f, 0x91ce1a9a3d2cda62, | ||
| 2173 | 0xdc5c5301c56b75f7, 0x7641a140cc7810fb, | ||
| 2174 | 0x89b9b3e11b6329ba, 0xa9e904c87fcb0a9d, | ||
| 2175 | 0xac2820d9623bf429, 0x546345fa9fbdcd44, | ||
| 2176 | 0xd732290fbacaf133, 0xa97c177947ad4095, | ||
| 2177 | 0x867f59a9d4bed6c0, 0x49ed8eabcccc485d, | ||
| 2178 | 0xa81f301449ee8c70, 0x5c68f256bfff5a74, | ||
| 2179 | 0xd226fc195c6a2f8c, 0x73832eec6fff3111, | ||
| 2180 | 0x83585d8fd9c25db7, 0xc831fd53c5ff7eab, | ||
| 2181 | 0xa42e74f3d032f525, 0xba3e7ca8b77f5e55, | ||
| 2182 | 0xcd3a1230c43fb26f, 0x28ce1bd2e55f35eb, | ||
| 2183 | 0x80444b5e7aa7cf85, 0x7980d163cf5b81b3, | ||
| 2184 | 0xa0555e361951c366, 0xd7e105bcc332621f, | ||
| 2185 | 0xc86ab5c39fa63440, 0x8dd9472bf3fefaa7, | ||
| 2186 | 0xfa856334878fc150, 0xb14f98f6f0feb951, | ||
| 2187 | 0x9c935e00d4b9d8d2, 0x6ed1bf9a569f33d3, | ||
| 2188 | 0xc3b8358109e84f07, 0xa862f80ec4700c8, | ||
| 2189 | 0xf4a642e14c6262c8, 0xcd27bb612758c0fa, | ||
| 2190 | 0x98e7e9cccfbd7dbd, 0x8038d51cb897789c, | ||
| 2191 | 0xbf21e44003acdd2c, 0xe0470a63e6bd56c3, | ||
| 2192 | 0xeeea5d5004981478, 0x1858ccfce06cac74, | ||
| 2193 | 0x95527a5202df0ccb, 0xf37801e0c43ebc8, | ||
| 2194 | 0xbaa718e68396cffd, 0xd30560258f54e6ba, | ||
| 2195 | 0xe950df20247c83fd, 0x47c6b82ef32a2069, | ||
| 2196 | 0x91d28b7416cdd27e, 0x4cdc331d57fa5441, | ||
| 2197 | 0xb6472e511c81471d, 0xe0133fe4adf8e952, | ||
| 2198 | 0xe3d8f9e563a198e5, 0x58180fddd97723a6, | ||
| 2199 | 0x8e679c2f5e44ff8f, 0x570f09eaa7ea7648, | ||
| 2200 | }; | ||
| 2201 | }; | ||
| 2202 | |||
| 2203 | template <class unused> | ||
| 2204 | constexpr uint64_t | ||
| 2205 | powers_template<unused>::power_of_five_128[number_of_entries]; | ||
| 2206 | |||
| 2207 | using powers = powers_template<>; | ||
| 2208 | |||
| 2209 | } // namespace fast_float | ||
| 2210 | |||
| 2211 | #endif | ||
| 2212 | |||
| 2213 | #ifndef FASTFLOAT_DECIMAL_TO_BINARY_H | ||
| 2214 | #define FASTFLOAT_DECIMAL_TO_BINARY_H | ||
| 2215 | |||
| 2216 | #include <cfloat> | ||
| 2217 | #include <cinttypes> | ||
| 2218 | #include <cmath> | ||
| 2219 | #include <cstdint> | ||
| 2220 | #include <cstdlib> | ||
| 2221 | #include <cstring> | ||
| 2222 | |||
| 2223 | namespace fast_float { | ||
| 2224 | |||
| 2225 | // This will compute or rather approximate w * 5**q and return a pair of 64-bit | ||
| 2226 | // words approximating the result, with the "high" part corresponding to the | ||
| 2227 | // most significant bits and the low part corresponding to the least significant | ||
| 2228 | // bits. | ||
| 2229 | // | ||
| 2230 | template <int bit_precision> | ||
| 2231 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 value128 | ||
| 2232 | compute_product_approximation(int64_t q, uint64_t w) { | ||
| 2233 | const int index = 2 * int(q - powers::smallest_power_of_five); | ||
| 2234 | // For small values of q, e.g., q in [0,27], the answer is always exact | ||
| 2235 | // because The line value128 firstproduct = full_multiplication(w, | ||
| 2236 | // power_of_five_128[index]); gives the exact answer. | ||
| 2237 | value128 firstproduct = | ||
| 2238 | full_multiplication(w, powers::power_of_five_128[index]); | ||
| 2239 | static_assert((bit_precision >= 0) && (bit_precision <= 64), | ||
| 2240 | " precision should be in (0,64]"); | ||
| 2241 | constexpr uint64_t precision_mask = | ||
| 2242 | (bit_precision < 64) ? (uint64_t(0xFFFFFFFFFFFFFFFF) >> bit_precision) | ||
| 2243 | : uint64_t(0xFFFFFFFFFFFFFFFF); | ||
| 2244 | if ((firstproduct.high & precision_mask) == | ||
| 2245 | precision_mask) { // could further guard with (lower + w < lower) | ||
| 2246 | // regarding the second product, we only need secondproduct.high, but our | ||
| 2247 | // expectation is that the compiler will optimize this extra work away if | ||
| 2248 | // needed. | ||
| 2249 | value128 secondproduct = | ||
| 2250 | full_multiplication(w, powers::power_of_five_128[index + 1]); | ||
| 2251 | firstproduct.low += secondproduct.high; | ||
| 2252 | if (secondproduct.high > firstproduct.low) { | ||
| 2253 | firstproduct.high++; | ||
| 2254 | } | ||
| 2255 | } | ||
| 2256 | return firstproduct; | ||
| 2257 | } | ||
| 2258 | |||
| 2259 | namespace detail { | ||
| 2260 | /** | ||
| 2261 | * For q in (0,350), we have that | ||
| 2262 | * f = (((152170 + 65536) * q ) >> 16); | ||
| 2263 | * is equal to | ||
| 2264 | * floor(p) + q | ||
| 2265 | * where | ||
| 2266 | * p = log(5**q)/log(2) = q * log(5)/log(2) | ||
| 2267 | * | ||
| 2268 | * For negative values of q in (-400,0), we have that | ||
| 2269 | * f = (((152170 + 65536) * q ) >> 16); | ||
| 2270 | * is equal to | ||
| 2271 | * -ceil(p) + q | ||
| 2272 | * where | ||
| 2273 | * p = log(5**-q)/log(2) = -q * log(5)/log(2) | ||
| 2274 | */ | ||
| 2275 | constexpr fastfloat_really_inline int32_t power(int32_t q) noexcept { | ||
| 2276 | return (((152170 + 65536) * q) >> 16) + 63; | ||
| 2277 | } | ||
| 2278 | } // namespace detail | ||
| 2279 | |||
| 2280 | // create an adjusted mantissa, biased by the invalid power2 | ||
| 2281 | // for significant digits already multiplied by 10 ** q. | ||
| 2282 | template <typename binary> | ||
| 2283 | fastfloat_really_inline FASTFLOAT_CONSTEXPR14 adjusted_mantissa | ||
| 2284 | compute_error_scaled(int64_t q, uint64_t w, int lz) noexcept { | ||
| 2285 | int hilz = int(w >> 63) ^ 1; | ||
| 2286 | adjusted_mantissa answer; | ||
| 2287 | answer.mantissa = w << hilz; | ||
| 2288 | int bias = binary::mantissa_explicit_bits() - binary::minimum_exponent(); | ||
| 2289 | answer.power2 = int32_t(detail::power(int32_t(q)) + bias - hilz - lz - 62 + | ||
| 2290 | invalid_am_bias); | ||
| 2291 | return answer; | ||
| 2292 | } | ||
| 2293 | |||
| 2294 | // w * 10 ** q, without rounding the representation up. | ||
| 2295 | // the power2 in the exponent will be adjusted by invalid_am_bias. | ||
| 2296 | template <typename binary> | ||
| 2297 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa | ||
| 2298 | compute_error(int64_t q, uint64_t w) noexcept { | ||
| 2299 | int lz = leading_zeroes(w); | ||
| 2300 | w <<= lz; | ||
| 2301 | value128 product = | ||
| 2302 | compute_product_approximation<binary::mantissa_explicit_bits() + 3>(q, w); | ||
| 2303 | return compute_error_scaled<binary>(q, product.high, lz); | ||
| 2304 | } | ||
| 2305 | |||
| 2306 | // w * 10 ** q | ||
| 2307 | // The returned value should be a valid ieee64 number that simply need to be | ||
| 2308 | // packed. However, in some very rare cases, the computation will fail. In such | ||
| 2309 | // cases, we return an adjusted_mantissa with a negative power of 2: the caller | ||
| 2310 | // should recompute in such cases. | ||
| 2311 | template <typename binary> | ||
| 2312 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa | ||
| 2313 | compute_float(int64_t q, uint64_t w) noexcept { | ||
| 2314 | adjusted_mantissa answer; | ||
| 2315 | if ((w == 0) || (q < binary::smallest_power_of_ten())) { | ||
| 2316 | answer.power2 = 0; | ||
| 2317 | answer.mantissa = 0; | ||
| 2318 | // result should be zero | ||
| 2319 | return answer; | ||
| 2320 | } | ||
| 2321 | if (q > binary::largest_power_of_ten()) { | ||
| 2322 | // we want to get infinity: | ||
| 2323 | answer.power2 = binary::infinite_power(); | ||
| 2324 | answer.mantissa = 0; | ||
| 2325 | return answer; | ||
| 2326 | } | ||
| 2327 | // At this point in time q is in [powers::smallest_power_of_five, | ||
| 2328 | // powers::largest_power_of_five]. | ||
| 2329 | |||
| 2330 | // We want the most significant bit of i to be 1. Shift if needed. | ||
| 2331 | int lz = leading_zeroes(w); | ||
| 2332 | w <<= lz; | ||
| 2333 | |||
| 2334 | // The required precision is binary::mantissa_explicit_bits() + 3 because | ||
| 2335 | // 1. We need the implicit bit | ||
| 2336 | // 2. We need an extra bit for rounding purposes | ||
| 2337 | // 3. We might lose a bit due to the "upperbit" routine (result too small, | ||
| 2338 | // requiring a shift) | ||
| 2339 | |||
| 2340 | value128 product = | ||
| 2341 | compute_product_approximation<binary::mantissa_explicit_bits() + 3>(q, w); | ||
| 2342 | // The computed 'product' is always sufficient. | ||
| 2343 | // Mathematical proof: | ||
| 2344 | // Noble Mushtak and Daniel Lemire, Fast Number Parsing Without Fallback (to | ||
| 2345 | // appear) See script/mushtak_lemire.py | ||
| 2346 | |||
| 2347 | // The "compute_product_approximation" function can be slightly slower than a | ||
| 2348 | // branchless approach: value128 product = compute_product(q, w); but in | ||
| 2349 | // practice, we can win big with the compute_product_approximation if its | ||
| 2350 | // additional branch is easily predicted. Which is best is data specific. | ||
| 2351 | int upperbit = int(product.high >> 63); | ||
| 2352 | int shift = upperbit + 64 - binary::mantissa_explicit_bits() - 3; | ||
| 2353 | |||
| 2354 | answer.mantissa = product.high >> shift; | ||
| 2355 | |||
| 2356 | answer.power2 = int32_t(detail::power(int32_t(q)) + upperbit - lz - | ||
| 2357 | binary::minimum_exponent()); | ||
| 2358 | if (answer.power2 <= 0) { // we have a subnormal? | ||
| 2359 | // Here have that answer.power2 <= 0 so -answer.power2 >= 0 | ||
| 2360 | if (-answer.power2 + 1 >= | ||
| 2361 | 64) { // if we have more than 64 bits below the minimum exponent, you | ||
| 2362 | // have a zero for sure. | ||
| 2363 | answer.power2 = 0; | ||
| 2364 | answer.mantissa = 0; | ||
| 2365 | // result should be zero | ||
| 2366 | return answer; | ||
| 2367 | } | ||
| 2368 | // next line is safe because -answer.power2 + 1 < 64 | ||
| 2369 | answer.mantissa >>= -answer.power2 + 1; | ||
| 2370 | // Thankfully, we can't have both "round-to-even" and subnormals because | ||
| 2371 | // "round-to-even" only occurs for powers close to 0. | ||
| 2372 | answer.mantissa += (answer.mantissa & 1); // round up | ||
| 2373 | answer.mantissa >>= 1; | ||
| 2374 | // There is a weird scenario where we don't have a subnormal but just. | ||
| 2375 | // Suppose we start with 2.2250738585072013e-308, we end up | ||
| 2376 | // with 0x3fffffffffffff x 2^-1023-53 which is technically subnormal | ||
| 2377 | // whereas 0x40000000000000 x 2^-1023-53 is normal. Now, we need to round | ||
| 2378 | // up 0x3fffffffffffff x 2^-1023-53 and once we do, we are no longer | ||
| 2379 | // subnormal, but we can only know this after rounding. | ||
| 2380 | // So we only declare a subnormal if we are smaller than the threshold. | ||
| 2381 | answer.power2 = | ||
| 2382 | (answer.mantissa < (uint64_t(1) << binary::mantissa_explicit_bits())) | ||
| 2383 | ? 0 | ||
| 2384 | : 1; | ||
| 2385 | return answer; | ||
| 2386 | } | ||
| 2387 | |||
| 2388 | // usually, we round *up*, but if we fall right in between and and we have an | ||
| 2389 | // even basis, we need to round down | ||
| 2390 | // We are only concerned with the cases where 5**q fits in single 64-bit word. | ||
| 2391 | if ((product.low <= 1) && (q >= binary::min_exponent_round_to_even()) && | ||
| 2392 | (q <= binary::max_exponent_round_to_even()) && | ||
| 2393 | ((answer.mantissa & 3) == 1)) { // we may fall between two floats! | ||
| 2394 | // To be in-between two floats we need that in doing | ||
| 2395 | // answer.mantissa = product.high >> (upperbit + 64 - | ||
| 2396 | // binary::mantissa_explicit_bits() - 3); | ||
| 2397 | // ... we dropped out only zeroes. But if this happened, then we can go | ||
| 2398 | // back!!! | ||
| 2399 | if ((answer.mantissa << shift) == product.high) { | ||
| 2400 | answer.mantissa &= ~uint64_t(1); // flip it so that we do not round up | ||
| 2401 | } | ||
| 2402 | } | ||
| 2403 | |||
| 2404 | answer.mantissa += (answer.mantissa & 1); // round up | ||
| 2405 | answer.mantissa >>= 1; | ||
| 2406 | if (answer.mantissa >= (uint64_t(2) << binary::mantissa_explicit_bits())) { | ||
| 2407 | answer.mantissa = (uint64_t(1) << binary::mantissa_explicit_bits()); | ||
| 2408 | answer.power2++; // undo previous addition | ||
| 2409 | } | ||
| 2410 | |||
| 2411 | answer.mantissa &= ~(uint64_t(1) << binary::mantissa_explicit_bits()); | ||
| 2412 | if (answer.power2 >= binary::infinite_power()) { // infinity | ||
| 2413 | answer.power2 = binary::infinite_power(); | ||
| 2414 | answer.mantissa = 0; | ||
| 2415 | } | ||
| 2416 | return answer; | ||
| 2417 | } | ||
| 2418 | |||
| 2419 | } // namespace fast_float | ||
| 2420 | |||
| 2421 | #endif | ||
| 2422 | |||
| 2423 | #ifndef FASTFLOAT_BIGINT_H | ||
| 2424 | #define FASTFLOAT_BIGINT_H | ||
| 2425 | |||
| 2426 | #include <algorithm> | ||
| 2427 | #include <cstdint> | ||
| 2428 | #include <climits> | ||
| 2429 | #include <cstring> | ||
| 2430 | |||
| 2431 | |||
| 2432 | namespace fast_float { | ||
| 2433 | |||
| 2434 | // the limb width: we want efficient multiplication of double the bits in | ||
| 2435 | // limb, or for 64-bit limbs, at least 64-bit multiplication where we can | ||
| 2436 | // extract the high and low parts efficiently. this is every 64-bit | ||
| 2437 | // architecture except for sparc, which emulates 128-bit multiplication. | ||
| 2438 | // we might have platforms where `CHAR_BIT` is not 8, so let's avoid | ||
| 2439 | // doing `8 * sizeof(limb)`. | ||
| 2440 | #if defined(FASTFLOAT_64BIT) && !defined(__sparc) | ||
| 2441 | #define FASTFLOAT_64BIT_LIMB 1 | ||
| 2442 | typedef uint64_t limb; | ||
| 2443 | constexpr size_t limb_bits = 64; | ||
| 2444 | #else | ||
| 2445 | #define FASTFLOAT_32BIT_LIMB | ||
| 2446 | typedef uint32_t limb; | ||
| 2447 | constexpr size_t limb_bits = 32; | ||
| 2448 | #endif | ||
| 2449 | |||
| 2450 | typedef span<limb> limb_span; | ||
| 2451 | |||
| 2452 | // number of bits in a bigint. this needs to be at least the number | ||
| 2453 | // of bits required to store the largest bigint, which is | ||
| 2454 | // `log2(10**(digits + max_exp))`, or `log2(10**(767 + 342))`, or | ||
| 2455 | // ~3600 bits, so we round to 4000. | ||
| 2456 | constexpr size_t bigint_bits = 4000; | ||
| 2457 | constexpr size_t bigint_limbs = bigint_bits / limb_bits; | ||
| 2458 | |||
| 2459 | // vector-like type that is allocated on the stack. the entire | ||
| 2460 | // buffer is pre-allocated, and only the length changes. | ||
| 2461 | template <uint16_t size> struct stackvec { | ||
| 2462 | limb data[size]; | ||
| 2463 | // we never need more than 150 limbs | ||
| 2464 | uint16_t length{0}; | ||
| 2465 | |||
| 2466 | stackvec() = default; | ||
| 2467 | stackvec(const stackvec &) = delete; | ||
| 2468 | stackvec &operator=(const stackvec &) = delete; | ||
| 2469 | stackvec(stackvec &&) = delete; | ||
| 2470 | stackvec &operator=(stackvec &&other) = delete; | ||
| 2471 | |||
| 2472 | // create stack vector from existing limb span. | ||
| 2473 | FASTFLOAT_CONSTEXPR20 stackvec(limb_span s) { | ||
| 2474 | FASTFLOAT_ASSERT(try_extend(s)); | ||
| 2475 | } | ||
| 2476 | |||
| 2477 | FASTFLOAT_CONSTEXPR14 limb &operator[](size_t index) noexcept { | ||
| 2478 | FASTFLOAT_DEBUG_ASSERT(index < length); | ||
| 2479 | return data[index]; | ||
| 2480 | } | ||
| 2481 | FASTFLOAT_CONSTEXPR14 const limb &operator[](size_t index) const noexcept { | ||
| 2482 | FASTFLOAT_DEBUG_ASSERT(index < length); | ||
| 2483 | return data[index]; | ||
| 2484 | } | ||
| 2485 | // index from the end of the container | ||
| 2486 | FASTFLOAT_CONSTEXPR14 const limb &rindex(size_t index) const noexcept { | ||
| 2487 | FASTFLOAT_DEBUG_ASSERT(index < length); | ||
| 2488 | size_t rindex = length - index - 1; | ||
| 2489 | return data[rindex]; | ||
| 2490 | } | ||
| 2491 | |||
| 2492 | // set the length, without bounds checking. | ||
| 2493 | FASTFLOAT_CONSTEXPR14 void set_len(size_t len) noexcept { | ||
| 2494 | length = uint16_t(len); | ||
| 2495 | } | ||
| 2496 | constexpr size_t len() const noexcept { return length; } | ||
| 2497 | constexpr bool is_empty() const noexcept { return length == 0; } | ||
| 2498 | constexpr size_t capacity() const noexcept { return size; } | ||
| 2499 | // append item to vector, without bounds checking | ||
| 2500 | FASTFLOAT_CONSTEXPR14 void push_unchecked(limb value) noexcept { | ||
| 2501 | data[length] = value; | ||
| 2502 | length++; | ||
| 2503 | } | ||
| 2504 | // append item to vector, returning if item was added | ||
| 2505 | FASTFLOAT_CONSTEXPR14 bool try_push(limb value) noexcept { | ||
| 2506 | if (len() < capacity()) { | ||
| 2507 | push_unchecked(value); | ||
| 2508 | return true; | ||
| 2509 | } else { | ||
| 2510 | return false; | ||
| 2511 | } | ||
| 2512 | } | ||
| 2513 | // add items to the vector, from a span, without bounds checking | ||
| 2514 | FASTFLOAT_CONSTEXPR20 void extend_unchecked(limb_span s) noexcept { | ||
| 2515 | limb *ptr = data + length; | ||
| 2516 | std::copy_n(s.ptr, s.len(), ptr); | ||
| 2517 | set_len(len() + s.len()); | ||
| 2518 | } | ||
| 2519 | // try to add items to the vector, returning if items were added | ||
| 2520 | FASTFLOAT_CONSTEXPR20 bool try_extend(limb_span s) noexcept { | ||
| 2521 | if (len() + s.len() <= capacity()) { | ||
| 2522 | extend_unchecked(s); | ||
| 2523 | return true; | ||
| 2524 | } else { | ||
| 2525 | return false; | ||
| 2526 | } | ||
| 2527 | } | ||
| 2528 | // resize the vector, without bounds checking | ||
| 2529 | // if the new size is longer than the vector, assign value to each | ||
| 2530 | // appended item. | ||
| 2531 | FASTFLOAT_CONSTEXPR20 | ||
| 2532 | void resize_unchecked(size_t new_len, limb value) noexcept { | ||
| 2533 | if (new_len > len()) { | ||
| 2534 | size_t count = new_len - len(); | ||
| 2535 | limb *first = data + len(); | ||
| 2536 | limb *last = first + count; | ||
| 2537 | ::std::fill(first, last, value); | ||
| 2538 | set_len(new_len); | ||
| 2539 | } else { | ||
| 2540 | set_len(new_len); | ||
| 2541 | } | ||
| 2542 | } | ||
| 2543 | // try to resize the vector, returning if the vector was resized. | ||
| 2544 | FASTFLOAT_CONSTEXPR20 bool try_resize(size_t new_len, limb value) noexcept { | ||
| 2545 | if (new_len > capacity()) { | ||
| 2546 | return false; | ||
| 2547 | } else { | ||
| 2548 | resize_unchecked(new_len, value); | ||
| 2549 | return true; | ||
| 2550 | } | ||
| 2551 | } | ||
| 2552 | // check if any limbs are non-zero after the given index. | ||
| 2553 | // this needs to be done in reverse order, since the index | ||
| 2554 | // is relative to the most significant limbs. | ||
| 2555 | FASTFLOAT_CONSTEXPR14 bool nonzero(size_t index) const noexcept { | ||
| 2556 | while (index < len()) { | ||
| 2557 | if (rindex(index) != 0) { | ||
| 2558 | return true; | ||
| 2559 | } | ||
| 2560 | index++; | ||
| 2561 | } | ||
| 2562 | return false; | ||
| 2563 | } | ||
| 2564 | // normalize the big integer, so most-significant zero limbs are removed. | ||
| 2565 | FASTFLOAT_CONSTEXPR14 void normalize() noexcept { | ||
| 2566 | while (len() > 0 && rindex(0) == 0) { | ||
| 2567 | length--; | ||
| 2568 | } | ||
| 2569 | } | ||
| 2570 | }; | ||
| 2571 | |||
| 2572 | fastfloat_really_inline FASTFLOAT_CONSTEXPR14 uint64_t | ||
| 2573 | empty_hi64(bool &truncated) noexcept { | ||
| 2574 | truncated = false; | ||
| 2575 | return 0; | ||
| 2576 | } | ||
| 2577 | |||
| 2578 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t | ||
| 2579 | uint64_hi64(uint64_t r0, bool &truncated) noexcept { | ||
| 2580 | truncated = false; | ||
| 2581 | int shl = leading_zeroes(r0); | ||
| 2582 | return r0 << shl; | ||
| 2583 | } | ||
| 2584 | |||
| 2585 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t | ||
| 2586 | uint64_hi64(uint64_t r0, uint64_t r1, bool &truncated) noexcept { | ||
| 2587 | int shl = leading_zeroes(r0); | ||
| 2588 | if (shl == 0) { | ||
| 2589 | truncated = r1 != 0; | ||
| 2590 | return r0; | ||
| 2591 | } else { | ||
| 2592 | int shr = 64 - shl; | ||
| 2593 | truncated = (r1 << shl) != 0; | ||
| 2594 | return (r0 << shl) | (r1 >> shr); | ||
| 2595 | } | ||
| 2596 | } | ||
| 2597 | |||
| 2598 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t | ||
| 2599 | uint32_hi64(uint32_t r0, bool &truncated) noexcept { | ||
| 2600 | return uint64_hi64(r0, truncated); | ||
| 2601 | } | ||
| 2602 | |||
| 2603 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t | ||
| 2604 | uint32_hi64(uint32_t r0, uint32_t r1, bool &truncated) noexcept { | ||
| 2605 | uint64_t x0 = r0; | ||
| 2606 | uint64_t x1 = r1; | ||
| 2607 | return uint64_hi64((x0 << 32) | x1, truncated); | ||
| 2608 | } | ||
| 2609 | |||
| 2610 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t | ||
| 2611 | uint32_hi64(uint32_t r0, uint32_t r1, uint32_t r2, bool &truncated) noexcept { | ||
| 2612 | uint64_t x0 = r0; | ||
| 2613 | uint64_t x1 = r1; | ||
| 2614 | uint64_t x2 = r2; | ||
| 2615 | return uint64_hi64(x0, (x1 << 32) | x2, truncated); | ||
| 2616 | } | ||
| 2617 | |||
| 2618 | // add two small integers, checking for overflow. | ||
| 2619 | // we want an efficient operation. for msvc, where | ||
| 2620 | // we don't have built-in intrinsics, this is still | ||
| 2621 | // pretty fast. | ||
| 2622 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 limb | ||
| 2623 | scalar_add(limb x, limb y, bool &overflow) noexcept { | ||
| 2624 | limb z; | ||
| 2625 | // gcc and clang | ||
| 2626 | #if defined(__has_builtin) | ||
| 2627 | #if __has_builtin(__builtin_add_overflow) | ||
| 2628 | if (!cpp20_and_in_constexpr()) { | ||
| 2629 | overflow = __builtin_add_overflow(x, y, &z); | ||
| 2630 | return z; | ||
| 2631 | } | ||
| 2632 | #endif | ||
| 2633 | #endif | ||
| 2634 | |||
| 2635 | // generic, this still optimizes correctly on MSVC. | ||
| 2636 | z = x + y; | ||
| 2637 | overflow = z < x; | ||
| 2638 | return z; | ||
| 2639 | } | ||
| 2640 | |||
| 2641 | // multiply two small integers, getting both the high and low bits. | ||
| 2642 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 limb | ||
| 2643 | scalar_mul(limb x, limb y, limb &carry) noexcept { | ||
| 2644 | #ifdef FASTFLOAT_64BIT_LIMB | ||
| 2645 | #if defined(__SIZEOF_INT128__) | ||
| 2646 | // GCC and clang both define it as an extension. | ||
| 2647 | __uint128_t z = __uint128_t(x) * __uint128_t(y) + __uint128_t(carry); | ||
| 2648 | carry = limb(z >> limb_bits); | ||
| 2649 | return limb(z); | ||
| 2650 | #else | ||
| 2651 | // fallback, no native 128-bit integer multiplication with carry. | ||
| 2652 | // on msvc, this optimizes identically, somehow. | ||
| 2653 | value128 z = full_multiplication(x, y); | ||
| 2654 | bool overflow; | ||
| 2655 | z.low = scalar_add(z.low, carry, overflow); | ||
| 2656 | z.high += uint64_t(overflow); // cannot overflow | ||
| 2657 | carry = z.high; | ||
| 2658 | return z.low; | ||
| 2659 | #endif | ||
| 2660 | #else | ||
| 2661 | uint64_t z = uint64_t(x) * uint64_t(y) + uint64_t(carry); | ||
| 2662 | carry = limb(z >> limb_bits); | ||
| 2663 | return limb(z); | ||
| 2664 | #endif | ||
| 2665 | } | ||
| 2666 | |||
| 2667 | // add scalar value to bigint starting from offset. | ||
| 2668 | // used in grade school multiplication | ||
| 2669 | template <uint16_t size> | ||
| 2670 | inline FASTFLOAT_CONSTEXPR20 bool small_add_from(stackvec<size> &vec, limb y, | ||
| 2671 | size_t start) noexcept { | ||
| 2672 | size_t index = start; | ||
| 2673 | limb carry = y; | ||
| 2674 | bool overflow; | ||
| 2675 | while (carry != 0 && index < vec.len()) { | ||
| 2676 | vec[index] = scalar_add(vec[index], carry, overflow); | ||
| 2677 | carry = limb(overflow); | ||
| 2678 | index += 1; | ||
| 2679 | } | ||
| 2680 | if (carry != 0) { | ||
| 2681 | FASTFLOAT_TRY(vec.try_push(carry)); | ||
| 2682 | } | ||
| 2683 | return true; | ||
| 2684 | } | ||
| 2685 | |||
| 2686 | // add scalar value to bigint. | ||
| 2687 | template <uint16_t size> | ||
| 2688 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool | ||
| 2689 | small_add(stackvec<size> &vec, limb y) noexcept { | ||
| 2690 | return small_add_from(vec, y, 0); | ||
| 2691 | } | ||
| 2692 | |||
| 2693 | // multiply bigint by scalar value. | ||
| 2694 | template <uint16_t size> | ||
| 2695 | inline FASTFLOAT_CONSTEXPR20 bool small_mul(stackvec<size> &vec, | ||
| 2696 | limb y) noexcept { | ||
| 2697 | limb carry = 0; | ||
| 2698 | for (size_t index = 0; index < vec.len(); index++) { | ||
| 2699 | vec[index] = scalar_mul(vec[index], y, carry); | ||
| 2700 | } | ||
| 2701 | if (carry != 0) { | ||
| 2702 | FASTFLOAT_TRY(vec.try_push(carry)); | ||
| 2703 | } | ||
| 2704 | return true; | ||
| 2705 | } | ||
| 2706 | |||
| 2707 | // add bigint to bigint starting from index. | ||
| 2708 | // used in grade school multiplication | ||
| 2709 | template <uint16_t size> | ||
| 2710 | FASTFLOAT_CONSTEXPR20 bool large_add_from(stackvec<size> &x, limb_span y, | ||
| 2711 | size_t start) noexcept { | ||
| 2712 | // the effective x buffer is from `xstart..x.len()`, so exit early | ||
| 2713 | // if we can't get that current range. | ||
| 2714 | if (x.len() < start || y.len() > x.len() - start) { | ||
| 2715 | FASTFLOAT_TRY(x.try_resize(y.len() + start, 0)); | ||
| 2716 | } | ||
| 2717 | |||
| 2718 | bool carry = false; | ||
| 2719 | for (size_t index = 0; index < y.len(); index++) { | ||
| 2720 | limb xi = x[index + start]; | ||
| 2721 | limb yi = y[index]; | ||
| 2722 | bool c1 = false; | ||
| 2723 | bool c2 = false; | ||
| 2724 | xi = scalar_add(xi, yi, c1); | ||
| 2725 | if (carry) { | ||
| 2726 | xi = scalar_add(xi, 1, c2); | ||
| 2727 | } | ||
| 2728 | x[index + start] = xi; | ||
| 2729 | carry = c1 | c2; | ||
| 2730 | } | ||
| 2731 | |||
| 2732 | // handle overflow | ||
| 2733 | if (carry) { | ||
| 2734 | FASTFLOAT_TRY(small_add_from(x, 1, y.len() + start)); | ||
| 2735 | } | ||
| 2736 | return true; | ||
| 2737 | } | ||
| 2738 | |||
| 2739 | // add bigint to bigint. | ||
| 2740 | template <uint16_t size> | ||
| 2741 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool | ||
| 2742 | large_add_from(stackvec<size> &x, limb_span y) noexcept { | ||
| 2743 | return large_add_from(x, y, 0); | ||
| 2744 | } | ||
| 2745 | |||
| 2746 | // grade-school multiplication algorithm | ||
| 2747 | template <uint16_t size> | ||
| 2748 | FASTFLOAT_CONSTEXPR20 bool long_mul(stackvec<size> &x, limb_span y) noexcept { | ||
| 2749 | limb_span xs = limb_span(x.data, x.len()); | ||
| 2750 | stackvec<size> z(xs); | ||
| 2751 | limb_span zs = limb_span(z.data, z.len()); | ||
| 2752 | |||
| 2753 | if (y.len() != 0) { | ||
| 2754 | limb y0 = y[0]; | ||
| 2755 | FASTFLOAT_TRY(small_mul(x, y0)); | ||
| 2756 | for (size_t index = 1; index < y.len(); index++) { | ||
| 2757 | limb yi = y[index]; | ||
| 2758 | stackvec<size> zi; | ||
| 2759 | if (yi != 0) { | ||
| 2760 | // re-use the same buffer throughout | ||
| 2761 | zi.set_len(0); | ||
| 2762 | FASTFLOAT_TRY(zi.try_extend(zs)); | ||
| 2763 | FASTFLOAT_TRY(small_mul(zi, yi)); | ||
| 2764 | limb_span zis = limb_span(zi.data, zi.len()); | ||
| 2765 | FASTFLOAT_TRY(large_add_from(x, zis, index)); | ||
| 2766 | } | ||
| 2767 | } | ||
| 2768 | } | ||
| 2769 | |||
| 2770 | x.normalize(); | ||
| 2771 | return true; | ||
| 2772 | } | ||
| 2773 | |||
| 2774 | // grade-school multiplication algorithm | ||
| 2775 | template <uint16_t size> | ||
| 2776 | FASTFLOAT_CONSTEXPR20 bool large_mul(stackvec<size> &x, limb_span y) noexcept { | ||
| 2777 | if (y.len() == 1) { | ||
| 2778 | FASTFLOAT_TRY(small_mul(x, y[0])); | ||
| 2779 | } else { | ||
| 2780 | FASTFLOAT_TRY(long_mul(x, y)); | ||
| 2781 | } | ||
| 2782 | return true; | ||
| 2783 | } | ||
| 2784 | |||
| 2785 | template <typename = void> struct pow5_tables { | ||
| 2786 | static constexpr uint32_t large_step = 135; | ||
| 2787 | static constexpr uint64_t small_power_of_5[] = { | ||
| 2788 | 1UL, | ||
| 2789 | 5UL, | ||
| 2790 | 25UL, | ||
| 2791 | 125UL, | ||
| 2792 | 625UL, | ||
| 2793 | 3125UL, | ||
| 2794 | 15625UL, | ||
| 2795 | 78125UL, | ||
| 2796 | 390625UL, | ||
| 2797 | 1953125UL, | ||
| 2798 | 9765625UL, | ||
| 2799 | 48828125UL, | ||
| 2800 | 244140625UL, | ||
| 2801 | 1220703125UL, | ||
| 2802 | 6103515625UL, | ||
| 2803 | 30517578125UL, | ||
| 2804 | 152587890625UL, | ||
| 2805 | 762939453125UL, | ||
| 2806 | 3814697265625UL, | ||
| 2807 | 19073486328125UL, | ||
| 2808 | 95367431640625UL, | ||
| 2809 | 476837158203125UL, | ||
| 2810 | 2384185791015625UL, | ||
| 2811 | 11920928955078125UL, | ||
| 2812 | 59604644775390625UL, | ||
| 2813 | 298023223876953125UL, | ||
| 2814 | 1490116119384765625UL, | ||
| 2815 | 7450580596923828125UL, | ||
| 2816 | }; | ||
| 2817 | #ifdef FASTFLOAT_64BIT_LIMB | ||
| 2818 | constexpr static limb large_power_of_5[] = { | ||
| 2819 | 1414648277510068013UL, 9180637584431281687UL, 4539964771860779200UL, | ||
| 2820 | 10482974169319127550UL, 198276706040285095UL}; | ||
| 2821 | #else | ||
| 2822 | constexpr static limb large_power_of_5[] = { | ||
| 2823 | 4279965485U, 329373468U, 4020270615U, 2137533757U, 4287402176U, | ||
| 2824 | 1057042919U, 1071430142U, 2440757623U, 381945767U, 46164893U}; | ||
| 2825 | #endif | ||
| 2826 | }; | ||
| 2827 | |||
| 2828 | template <typename T> constexpr uint32_t pow5_tables<T>::large_step; | ||
| 2829 | |||
| 2830 | template <typename T> constexpr uint64_t pow5_tables<T>::small_power_of_5[]; | ||
| 2831 | |||
| 2832 | template <typename T> constexpr limb pow5_tables<T>::large_power_of_5[]; | ||
| 2833 | |||
| 2834 | // big integer type. implements a small subset of big integer | ||
| 2835 | // arithmetic, using simple algorithms since asymptotically | ||
| 2836 | // faster algorithms are slower for a small number of limbs. | ||
| 2837 | // all operations assume the big-integer is normalized. | ||
| 2838 | struct bigint : pow5_tables<> { | ||
| 2839 | // storage of the limbs, in little-endian order. | ||
| 2840 | stackvec<bigint_limbs> vec; | ||
| 2841 | |||
| 2842 | FASTFLOAT_CONSTEXPR20 bigint() : vec() {} | ||
| 2843 | bigint(const bigint &) = delete; | ||
| 2844 | bigint &operator=(const bigint &) = delete; | ||
| 2845 | bigint(bigint &&) = delete; | ||
| 2846 | bigint &operator=(bigint &&other) = delete; | ||
| 2847 | |||
| 2848 | FASTFLOAT_CONSTEXPR20 bigint(uint64_t value) : vec() { | ||
| 2849 | #ifdef FASTFLOAT_64BIT_LIMB | ||
| 2850 | vec.push_unchecked(value); | ||
| 2851 | #else | ||
| 2852 | vec.push_unchecked(uint32_t(value)); | ||
| 2853 | vec.push_unchecked(uint32_t(value >> 32)); | ||
| 2854 | #endif | ||
| 2855 | vec.normalize(); | ||
| 2856 | } | ||
| 2857 | |||
| 2858 | // get the high 64 bits from the vector, and if bits were truncated. | ||
| 2859 | // this is to get the significant digits for the float. | ||
| 2860 | FASTFLOAT_CONSTEXPR20 uint64_t hi64(bool &truncated) const noexcept { | ||
| 2861 | #ifdef FASTFLOAT_64BIT_LIMB | ||
| 2862 | if (vec.len() == 0) { | ||
| 2863 | return empty_hi64(truncated); | ||
| 2864 | } else if (vec.len() == 1) { | ||
| 2865 | return uint64_hi64(vec.rindex(0), truncated); | ||
| 2866 | } else { | ||
| 2867 | uint64_t result = uint64_hi64(vec.rindex(0), vec.rindex(1), truncated); | ||
| 2868 | truncated |= vec.nonzero(2); | ||
| 2869 | return result; | ||
| 2870 | } | ||
| 2871 | #else | ||
| 2872 | if (vec.len() == 0) { | ||
| 2873 | return empty_hi64(truncated); | ||
| 2874 | } else if (vec.len() == 1) { | ||
| 2875 | return uint32_hi64(vec.rindex(0), truncated); | ||
| 2876 | } else if (vec.len() == 2) { | ||
| 2877 | return uint32_hi64(vec.rindex(0), vec.rindex(1), truncated); | ||
| 2878 | } else { | ||
| 2879 | uint64_t result = | ||
| 2880 | uint32_hi64(vec.rindex(0), vec.rindex(1), vec.rindex(2), truncated); | ||
| 2881 | truncated |= vec.nonzero(3); | ||
| 2882 | return result; | ||
| 2883 | } | ||
| 2884 | #endif | ||
| 2885 | } | ||
| 2886 | |||
| 2887 | // compare two big integers, returning the large value. | ||
| 2888 | // assumes both are normalized. if the return value is | ||
| 2889 | // negative, other is larger, if the return value is | ||
| 2890 | // positive, this is larger, otherwise they are equal. | ||
| 2891 | // the limbs are stored in little-endian order, so we | ||
| 2892 | // must compare the limbs in ever order. | ||
| 2893 | FASTFLOAT_CONSTEXPR20 int compare(const bigint &other) const noexcept { | ||
| 2894 | if (vec.len() > other.vec.len()) { | ||
| 2895 | return 1; | ||
| 2896 | } else if (vec.len() < other.vec.len()) { | ||
| 2897 | return -1; | ||
| 2898 | } else { | ||
| 2899 | for (size_t index = vec.len(); index > 0; index--) { | ||
| 2900 | limb xi = vec[index - 1]; | ||
| 2901 | limb yi = other.vec[index - 1]; | ||
| 2902 | if (xi > yi) { | ||
| 2903 | return 1; | ||
| 2904 | } else if (xi < yi) { | ||
| 2905 | return -1; | ||
| 2906 | } | ||
| 2907 | } | ||
| 2908 | return 0; | ||
| 2909 | } | ||
| 2910 | } | ||
| 2911 | |||
| 2912 | // shift left each limb n bits, carrying over to the new limb | ||
| 2913 | // returns true if we were able to shift all the digits. | ||
| 2914 | FASTFLOAT_CONSTEXPR20 bool shl_bits(size_t n) noexcept { | ||
| 2915 | // Internally, for each item, we shift left by n, and add the previous | ||
| 2916 | // right shifted limb-bits. | ||
| 2917 | // For example, we transform (for u8) shifted left 2, to: | ||
| 2918 | // b10100100 b01000010 | ||
| 2919 | // b10 b10010001 b00001000 | ||
| 2920 | FASTFLOAT_DEBUG_ASSERT(n != 0); | ||
| 2921 | FASTFLOAT_DEBUG_ASSERT(n < sizeof(limb) * 8); | ||
| 2922 | |||
| 2923 | size_t shl = n; | ||
| 2924 | size_t shr = limb_bits - shl; | ||
| 2925 | limb prev = 0; | ||
| 2926 | for (size_t index = 0; index < vec.len(); index++) { | ||
| 2927 | limb xi = vec[index]; | ||
| 2928 | vec[index] = (xi << shl) | (prev >> shr); | ||
| 2929 | prev = xi; | ||
| 2930 | } | ||
| 2931 | |||
| 2932 | limb carry = prev >> shr; | ||
| 2933 | if (carry != 0) { | ||
| 2934 | return vec.try_push(carry); | ||
| 2935 | } | ||
| 2936 | return true; | ||
| 2937 | } | ||
| 2938 | |||
| 2939 | // move the limbs left by `n` limbs. | ||
| 2940 | FASTFLOAT_CONSTEXPR20 bool shl_limbs(size_t n) noexcept { | ||
| 2941 | FASTFLOAT_DEBUG_ASSERT(n != 0); | ||
| 2942 | if (n + vec.len() > vec.capacity()) { | ||
| 2943 | return false; | ||
| 2944 | } else if (!vec.is_empty()) { | ||
| 2945 | // move limbs | ||
| 2946 | limb *dst = vec.data + n; | ||
| 2947 | const limb *src = vec.data; | ||
| 2948 | std::copy_backward(src, src + vec.len(), dst + vec.len()); | ||
| 2949 | // fill in empty limbs | ||
| 2950 | limb *first = vec.data; | ||
| 2951 | limb *last = first + n; | ||
| 2952 | ::std::fill(first, last, 0); | ||
| 2953 | vec.set_len(n + vec.len()); | ||
| 2954 | return true; | ||
| 2955 | } else { | ||
| 2956 | return true; | ||
| 2957 | } | ||
| 2958 | } | ||
| 2959 | |||
| 2960 | // move the limbs left by `n` bits. | ||
| 2961 | FASTFLOAT_CONSTEXPR20 bool shl(size_t n) noexcept { | ||
| 2962 | size_t rem = n % limb_bits; | ||
| 2963 | size_t div = n / limb_bits; | ||
| 2964 | if (rem != 0) { | ||
| 2965 | FASTFLOAT_TRY(shl_bits(rem)); | ||
| 2966 | } | ||
| 2967 | if (div != 0) { | ||
| 2968 | FASTFLOAT_TRY(shl_limbs(div)); | ||
| 2969 | } | ||
| 2970 | return true; | ||
| 2971 | } | ||
| 2972 | |||
| 2973 | // get the number of leading zeros in the bigint. | ||
| 2974 | FASTFLOAT_CONSTEXPR20 int ctlz() const noexcept { | ||
| 2975 | if (vec.is_empty()) { | ||
| 2976 | return 0; | ||
| 2977 | } else { | ||
| 2978 | #ifdef FASTFLOAT_64BIT_LIMB | ||
| 2979 | return leading_zeroes(vec.rindex(0)); | ||
| 2980 | #else | ||
| 2981 | // no use defining a specialized leading_zeroes for a 32-bit type. | ||
| 2982 | uint64_t r0 = vec.rindex(0); | ||
| 2983 | return leading_zeroes(r0 << 32); | ||
| 2984 | #endif | ||
| 2985 | } | ||
| 2986 | } | ||
| 2987 | |||
| 2988 | // get the number of bits in the bigint. | ||
| 2989 | FASTFLOAT_CONSTEXPR20 int bit_length() const noexcept { | ||
| 2990 | int lz = ctlz(); | ||
| 2991 | return int(limb_bits * vec.len()) - lz; | ||
| 2992 | } | ||
| 2993 | |||
| 2994 | FASTFLOAT_CONSTEXPR20 bool mul(limb y) noexcept { return small_mul(vec, y); } | ||
| 2995 | |||
| 2996 | FASTFLOAT_CONSTEXPR20 bool add(limb y) noexcept { return small_add(vec, y); } | ||
| 2997 | |||
| 2998 | // multiply as if by 2 raised to a power. | ||
| 2999 | FASTFLOAT_CONSTEXPR20 bool pow2(uint32_t exp) noexcept { return shl(exp); } | ||
| 3000 | |||
| 3001 | // multiply as if by 5 raised to a power. | ||
| 3002 | FASTFLOAT_CONSTEXPR20 bool pow5(uint32_t exp) noexcept { | ||
| 3003 | // multiply by a power of 5 | ||
| 3004 | size_t large_length = sizeof(large_power_of_5) / sizeof(limb); | ||
| 3005 | limb_span large = limb_span(large_power_of_5, large_length); | ||
| 3006 | while (exp >= large_step) { | ||
| 3007 | FASTFLOAT_TRY(large_mul(vec, large)); | ||
| 3008 | exp -= large_step; | ||
| 3009 | } | ||
| 3010 | #ifdef FASTFLOAT_64BIT_LIMB | ||
| 3011 | uint32_t small_step = 27; | ||
| 3012 | limb max_native = 7450580596923828125UL; | ||
| 3013 | #else | ||
| 3014 | uint32_t small_step = 13; | ||
| 3015 | limb max_native = 1220703125U; | ||
| 3016 | #endif | ||
| 3017 | while (exp >= small_step) { | ||
| 3018 | FASTFLOAT_TRY(small_mul(vec, max_native)); | ||
| 3019 | exp -= small_step; | ||
| 3020 | } | ||
| 3021 | if (exp != 0) { | ||
| 3022 | // Work around clang bug https://godbolt.org/z/zedh7rrhc | ||
| 3023 | // This is similar to https://github.com/llvm/llvm-project/issues/47746, | ||
| 3024 | // except the workaround described there don't work here | ||
| 3025 | FASTFLOAT_TRY(small_mul( | ||
| 3026 | vec, limb(((void)small_power_of_5[0], small_power_of_5[exp])))); | ||
| 3027 | } | ||
| 3028 | |||
| 3029 | return true; | ||
| 3030 | } | ||
| 3031 | |||
| 3032 | // multiply as if by 10 raised to a power. | ||
| 3033 | FASTFLOAT_CONSTEXPR20 bool pow10(uint32_t exp) noexcept { | ||
| 3034 | FASTFLOAT_TRY(pow5(exp)); | ||
| 3035 | return pow2(exp); | ||
| 3036 | } | ||
| 3037 | }; | ||
| 3038 | |||
| 3039 | } // namespace fast_float | ||
| 3040 | |||
| 3041 | #endif | ||
| 3042 | |||
| 3043 | #ifndef FASTFLOAT_DIGIT_COMPARISON_H | ||
| 3044 | #define FASTFLOAT_DIGIT_COMPARISON_H | ||
| 3045 | |||
| 3046 | #include <algorithm> | ||
| 3047 | #include <cstdint> | ||
| 3048 | #include <cstring> | ||
| 3049 | #include <iterator> | ||
| 3050 | |||
| 3051 | |||
| 3052 | namespace fast_float { | ||
| 3053 | |||
| 3054 | // 1e0 to 1e19 | ||
| 3055 | constexpr static uint64_t powers_of_ten_uint64[] = {1UL, | ||
| 3056 | 10UL, | ||
| 3057 | 100UL, | ||
| 3058 | 1000UL, | ||
| 3059 | 10000UL, | ||
| 3060 | 100000UL, | ||
| 3061 | 1000000UL, | ||
| 3062 | 10000000UL, | ||
| 3063 | 100000000UL, | ||
| 3064 | 1000000000UL, | ||
| 3065 | 10000000000UL, | ||
| 3066 | 100000000000UL, | ||
| 3067 | 1000000000000UL, | ||
| 3068 | 10000000000000UL, | ||
| 3069 | 100000000000000UL, | ||
| 3070 | 1000000000000000UL, | ||
| 3071 | 10000000000000000UL, | ||
| 3072 | 100000000000000000UL, | ||
| 3073 | 1000000000000000000UL, | ||
| 3074 | 10000000000000000000UL}; | ||
| 3075 | |||
| 3076 | // calculate the exponent, in scientific notation, of the number. | ||
| 3077 | // this algorithm is not even close to optimized, but it has no practical | ||
| 3078 | // effect on performance: in order to have a faster algorithm, we'd need | ||
| 3079 | // to slow down performance for faster algorithms, and this is still fast. | ||
| 3080 | template <typename UC> | ||
| 3081 | fastfloat_really_inline FASTFLOAT_CONSTEXPR14 int32_t | ||
| 3082 | scientific_exponent(parsed_number_string_t<UC> &num) noexcept { | ||
| 3083 | uint64_t mantissa = num.mantissa; | ||
| 3084 | int32_t exponent = int32_t(num.exponent); | ||
| 3085 | while (mantissa >= 10000) { | ||
| 3086 | mantissa /= 10000; | ||
| 3087 | exponent += 4; | ||
| 3088 | } | ||
| 3089 | while (mantissa >= 100) { | ||
| 3090 | mantissa /= 100; | ||
| 3091 | exponent += 2; | ||
| 3092 | } | ||
| 3093 | while (mantissa >= 10) { | ||
| 3094 | mantissa /= 10; | ||
| 3095 | exponent += 1; | ||
| 3096 | } | ||
| 3097 | return exponent; | ||
| 3098 | } | ||
| 3099 | |||
| 3100 | // this converts a native floating-point number to an extended-precision float. | ||
| 3101 | template <typename T> | ||
| 3102 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa | ||
| 3103 | to_extended(T value) noexcept { | ||
| 3104 | using equiv_uint = typename binary_format<T>::equiv_uint; | ||
| 3105 | constexpr equiv_uint exponent_mask = binary_format<T>::exponent_mask(); | ||
| 3106 | constexpr equiv_uint mantissa_mask = binary_format<T>::mantissa_mask(); | ||
| 3107 | constexpr equiv_uint hidden_bit_mask = binary_format<T>::hidden_bit_mask(); | ||
| 3108 | |||
| 3109 | adjusted_mantissa am; | ||
| 3110 | int32_t bias = binary_format<T>::mantissa_explicit_bits() - | ||
| 3111 | binary_format<T>::minimum_exponent(); | ||
| 3112 | equiv_uint bits; | ||
| 3113 | #if FASTFLOAT_HAS_BIT_CAST | ||
| 3114 | bits = std::bit_cast<equiv_uint>(value); | ||
| 3115 | #else | ||
| 3116 | ::memcpy(&bits, &value, sizeof(T)); | ||
| 3117 | #endif | ||
| 3118 | if ((bits & exponent_mask) == 0) { | ||
| 3119 | // denormal | ||
| 3120 | am.power2 = 1 - bias; | ||
| 3121 | am.mantissa = bits & mantissa_mask; | ||
| 3122 | } else { | ||
| 3123 | // normal | ||
| 3124 | am.power2 = int32_t((bits & exponent_mask) >> | ||
| 3125 | binary_format<T>::mantissa_explicit_bits()); | ||
| 3126 | am.power2 -= bias; | ||
| 3127 | am.mantissa = (bits & mantissa_mask) | hidden_bit_mask; | ||
| 3128 | } | ||
| 3129 | |||
| 3130 | return am; | ||
| 3131 | } | ||
| 3132 | |||
| 3133 | // get the extended precision value of the halfway point between b and b+u. | ||
| 3134 | // we are given a native float that represents b, so we need to adjust it | ||
| 3135 | // halfway between b and b+u. | ||
| 3136 | template <typename T> | ||
| 3137 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa | ||
| 3138 | to_extended_halfway(T value) noexcept { | ||
| 3139 | adjusted_mantissa am = to_extended(value); | ||
| 3140 | am.mantissa <<= 1; | ||
| 3141 | am.mantissa += 1; | ||
| 3142 | am.power2 -= 1; | ||
| 3143 | return am; | ||
| 3144 | } | ||
| 3145 | |||
| 3146 | // round an extended-precision float to the nearest machine float. | ||
| 3147 | template <typename T, typename callback> | ||
| 3148 | fastfloat_really_inline FASTFLOAT_CONSTEXPR14 void round(adjusted_mantissa &am, | ||
| 3149 | callback cb) noexcept { | ||
| 3150 | int32_t mantissa_shift = 64 - binary_format<T>::mantissa_explicit_bits() - 1; | ||
| 3151 | if (-am.power2 >= mantissa_shift) { | ||
| 3152 | // have a denormal float | ||
| 3153 | int32_t shift = -am.power2 + 1; | ||
| 3154 | cb(am, std::min<int32_t>(shift, 64)); | ||
| 3155 | // check for round-up: if rounding-nearest carried us to the hidden bit. | ||
| 3156 | am.power2 = (am.mantissa < | ||
| 3157 | (uint64_t(1) << binary_format<T>::mantissa_explicit_bits())) | ||
| 3158 | ? 0 | ||
| 3159 | : 1; | ||
| 3160 | return; | ||
| 3161 | } | ||
| 3162 | |||
| 3163 | // have a normal float, use the default shift. | ||
| 3164 | cb(am, mantissa_shift); | ||
| 3165 | |||
| 3166 | // check for carry | ||
| 3167 | if (am.mantissa >= | ||
| 3168 | (uint64_t(2) << binary_format<T>::mantissa_explicit_bits())) { | ||
| 3169 | am.mantissa = (uint64_t(1) << binary_format<T>::mantissa_explicit_bits()); | ||
| 3170 | am.power2++; | ||
| 3171 | } | ||
| 3172 | |||
| 3173 | // check for infinite: we could have carried to an infinite power | ||
| 3174 | am.mantissa &= ~(uint64_t(1) << binary_format<T>::mantissa_explicit_bits()); | ||
| 3175 | if (am.power2 >= binary_format<T>::infinite_power()) { | ||
| 3176 | am.power2 = binary_format<T>::infinite_power(); | ||
| 3177 | am.mantissa = 0; | ||
| 3178 | } | ||
| 3179 | } | ||
| 3180 | |||
| 3181 | template <typename callback> | ||
| 3182 | fastfloat_really_inline FASTFLOAT_CONSTEXPR14 void | ||
| 3183 | round_nearest_tie_even(adjusted_mantissa &am, int32_t shift, | ||
| 3184 | callback cb) noexcept { | ||
| 3185 | const uint64_t mask = (shift == 64) ? UINT64_MAX : (uint64_t(1) << shift) - 1; | ||
| 3186 | const uint64_t halfway = (shift == 0) ? 0 : uint64_t(1) << (shift - 1); | ||
| 3187 | uint64_t truncated_bits = am.mantissa & mask; | ||
| 3188 | bool is_above = truncated_bits > halfway; | ||
| 3189 | bool is_halfway = truncated_bits == halfway; | ||
| 3190 | |||
| 3191 | // shift digits into position | ||
| 3192 | if (shift == 64) { | ||
| 3193 | am.mantissa = 0; | ||
| 3194 | } else { | ||
| 3195 | am.mantissa >>= shift; | ||
| 3196 | } | ||
| 3197 | am.power2 += shift; | ||
| 3198 | |||
| 3199 | bool is_odd = (am.mantissa & 1) == 1; | ||
| 3200 | am.mantissa += uint64_t(cb(is_odd, is_halfway, is_above)); | ||
| 3201 | } | ||
| 3202 | |||
| 3203 | fastfloat_really_inline FASTFLOAT_CONSTEXPR14 void | ||
| 3204 | round_down(adjusted_mantissa &am, int32_t shift) noexcept { | ||
| 3205 | if (shift == 64) { | ||
| 3206 | am.mantissa = 0; | ||
| 3207 | } else { | ||
| 3208 | am.mantissa >>= shift; | ||
| 3209 | } | ||
| 3210 | am.power2 += shift; | ||
| 3211 | } | ||
| 3212 | template <typename UC> | ||
| 3213 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void | ||
| 3214 | skip_zeros(UC const *&first, UC const *last) noexcept { | ||
| 3215 | uint64_t val; | ||
| 3216 | while (!cpp20_and_in_constexpr() && | ||
| 3217 | std::distance(first, last) >= int_cmp_len<UC>()) { | ||
| 3218 | ::memcpy(&val, first, sizeof(uint64_t)); | ||
| 3219 | if (val != int_cmp_zeros<UC>()) { | ||
| 3220 | break; | ||
| 3221 | } | ||
| 3222 | first += int_cmp_len<UC>(); | ||
| 3223 | } | ||
| 3224 | while (first != last) { | ||
| 3225 | if (*first != UC('0')) { | ||
| 3226 | break; | ||
| 3227 | } | ||
| 3228 | first++; | ||
| 3229 | } | ||
| 3230 | } | ||
| 3231 | |||
| 3232 | // determine if any non-zero digits were truncated. | ||
| 3233 | // all characters must be valid digits. | ||
| 3234 | template <typename UC> | ||
| 3235 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool | ||
| 3236 | is_truncated(UC const *first, UC const *last) noexcept { | ||
| 3237 | // do 8-bit optimizations, can just compare to 8 literal 0s. | ||
| 3238 | uint64_t val; | ||
| 3239 | while (!cpp20_and_in_constexpr() && | ||
| 3240 | std::distance(first, last) >= int_cmp_len<UC>()) { | ||
| 3241 | ::memcpy(&val, first, sizeof(uint64_t)); | ||
| 3242 | if (val != int_cmp_zeros<UC>()) { | ||
| 3243 | return true; | ||
| 3244 | } | ||
| 3245 | first += int_cmp_len<UC>(); | ||
| 3246 | } | ||
| 3247 | while (first != last) { | ||
| 3248 | if (*first != UC('0')) { | ||
| 3249 | return true; | ||
| 3250 | } | ||
| 3251 | ++first; | ||
| 3252 | } | ||
| 3253 | return false; | ||
| 3254 | } | ||
| 3255 | template <typename UC> | ||
| 3256 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool | ||
| 3257 | is_truncated(span<const UC> s) noexcept { | ||
| 3258 | return is_truncated(s.ptr, s.ptr + s.len()); | ||
| 3259 | } | ||
| 3260 | |||
| 3261 | template <typename UC> | ||
| 3262 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void | ||
| 3263 | parse_eight_digits(const UC *&p, limb &value, size_t &counter, | ||
| 3264 | size_t &count) noexcept { | ||
| 3265 | value = value * 100000000 + parse_eight_digits_unrolled(p); | ||
| 3266 | p += 8; | ||
| 3267 | counter += 8; | ||
| 3268 | count += 8; | ||
| 3269 | } | ||
| 3270 | |||
| 3271 | template <typename UC> | ||
| 3272 | fastfloat_really_inline FASTFLOAT_CONSTEXPR14 void | ||
| 3273 | parse_one_digit(UC const *&p, limb &value, size_t &counter, | ||
| 3274 | size_t &count) noexcept { | ||
| 3275 | value = value * 10 + limb(*p - UC('0')); | ||
| 3276 | p++; | ||
| 3277 | counter++; | ||
| 3278 | count++; | ||
| 3279 | } | ||
| 3280 | |||
| 3281 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void | ||
| 3282 | add_native(bigint &big, limb power, limb value) noexcept { | ||
| 3283 | big.mul(power); | ||
| 3284 | big.add(value); | ||
| 3285 | } | ||
| 3286 | |||
| 3287 | fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void | ||
| 3288 | round_up_bigint(bigint &big, size_t &count) noexcept { | ||
| 3289 | // need to round-up the digits, but need to avoid rounding | ||
| 3290 | // ....9999 to ...10000, which could cause a false halfway point. | ||
| 3291 | add_native(big, 10, 1); | ||
| 3292 | count++; | ||
| 3293 | } | ||
| 3294 | |||
| 3295 | // parse the significant digits into a big integer | ||
| 3296 | template <typename UC> | ||
| 3297 | inline FASTFLOAT_CONSTEXPR20 void | ||
| 3298 | parse_mantissa(bigint &result, parsed_number_string_t<UC> &num, | ||
| 3299 | size_t max_digits, size_t &digits) noexcept { | ||
| 3300 | // try to minimize the number of big integer and scalar multiplication. | ||
| 3301 | // therefore, try to parse 8 digits at a time, and multiply by the largest | ||
| 3302 | // scalar value (9 or 19 digits) for each step. | ||
| 3303 | size_t counter = 0; | ||
| 3304 | digits = 0; | ||
| 3305 | limb value = 0; | ||
| 3306 | #ifdef FASTFLOAT_64BIT_LIMB | ||
| 3307 | size_t step = 19; | ||
| 3308 | #else | ||
| 3309 | size_t step = 9; | ||
| 3310 | #endif | ||
| 3311 | |||
| 3312 | // process all integer digits. | ||
| 3313 | UC const *p = num.integer.ptr; | ||
| 3314 | UC const *pend = p + num.integer.len(); | ||
| 3315 | skip_zeros(p, pend); | ||
| 3316 | // process all digits, in increments of step per loop | ||
| 3317 | while (p != pend) { | ||
| 3318 | while ((std::distance(p, pend) >= 8) && (step - counter >= 8) && | ||
| 3319 | (max_digits - digits >= 8)) { | ||
| 3320 | parse_eight_digits(p, value, counter, digits); | ||
| 3321 | } | ||
| 3322 | while (counter < step && p != pend && digits < max_digits) { | ||
| 3323 | parse_one_digit(p, value, counter, digits); | ||
| 3324 | } | ||
| 3325 | if (digits == max_digits) { | ||
| 3326 | // add the temporary value, then check if we've truncated any digits | ||
| 3327 | add_native(result, limb(powers_of_ten_uint64[counter]), value); | ||
| 3328 | bool truncated = is_truncated(p, pend); | ||
| 3329 | if (num.fraction.ptr != nullptr) { | ||
| 3330 | truncated |= is_truncated(num.fraction); | ||
| 3331 | } | ||
| 3332 | if (truncated) { | ||
| 3333 | round_up_bigint(result, digits); | ||
| 3334 | } | ||
| 3335 | return; | ||
| 3336 | } else { | ||
| 3337 | add_native(result, limb(powers_of_ten_uint64[counter]), value); | ||
| 3338 | counter = 0; | ||
| 3339 | value = 0; | ||
| 3340 | } | ||
| 3341 | } | ||
| 3342 | |||
| 3343 | // add our fraction digits, if they're available. | ||
| 3344 | if (num.fraction.ptr != nullptr) { | ||
| 3345 | p = num.fraction.ptr; | ||
| 3346 | pend = p + num.fraction.len(); | ||
| 3347 | if (digits == 0) { | ||
| 3348 | skip_zeros(p, pend); | ||
| 3349 | } | ||
| 3350 | // process all digits, in increments of step per loop | ||
| 3351 | while (p != pend) { | ||
| 3352 | while ((std::distance(p, pend) >= 8) && (step - counter >= 8) && | ||
| 3353 | (max_digits - digits >= 8)) { | ||
| 3354 | parse_eight_digits(p, value, counter, digits); | ||
| 3355 | } | ||
| 3356 | while (counter < step && p != pend && digits < max_digits) { | ||
| 3357 | parse_one_digit(p, value, counter, digits); | ||
| 3358 | } | ||
| 3359 | if (digits == max_digits) { | ||
| 3360 | // add the temporary value, then check if we've truncated any digits | ||
| 3361 | add_native(result, limb(powers_of_ten_uint64[counter]), value); | ||
| 3362 | bool truncated = is_truncated(p, pend); | ||
| 3363 | if (truncated) { | ||
| 3364 | round_up_bigint(result, digits); | ||
| 3365 | } | ||
| 3366 | return; | ||
| 3367 | } else { | ||
| 3368 | add_native(result, limb(powers_of_ten_uint64[counter]), value); | ||
| 3369 | counter = 0; | ||
| 3370 | value = 0; | ||
| 3371 | } | ||
| 3372 | } | ||
| 3373 | } | ||
| 3374 | |||
| 3375 | if (counter != 0) { | ||
| 3376 | add_native(result, limb(powers_of_ten_uint64[counter]), value); | ||
| 3377 | } | ||
| 3378 | } | ||
| 3379 | |||
| 3380 | template <typename T> | ||
| 3381 | inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa | ||
| 3382 | positive_digit_comp(bigint &bigmant, int32_t exponent) noexcept { | ||
| 3383 | FASTFLOAT_ASSERT(bigmant.pow10(uint32_t(exponent))); | ||
| 3384 | adjusted_mantissa answer; | ||
| 3385 | bool truncated; | ||
| 3386 | answer.mantissa = bigmant.hi64(truncated); | ||
| 3387 | int bias = binary_format<T>::mantissa_explicit_bits() - | ||
| 3388 | binary_format<T>::minimum_exponent(); | ||
| 3389 | answer.power2 = bigmant.bit_length() - 64 + bias; | ||
| 3390 | |||
| 3391 | round<T>(answer, [truncated](adjusted_mantissa &a, int32_t shift) { | ||
| 3392 | round_nearest_tie_even( | ||
| 3393 | a, shift, | ||
| 3394 | [truncated](bool is_odd, bool is_halfway, bool is_above) -> bool { | ||
| 3395 | return is_above || (is_halfway && truncated) || | ||
| 3396 | (is_odd && is_halfway); | ||
| 3397 | }); | ||
| 3398 | }); | ||
| 3399 | |||
| 3400 | return answer; | ||
| 3401 | } | ||
| 3402 | |||
| 3403 | // the scaling here is quite simple: we have, for the real digits `m * 10^e`, | ||
| 3404 | // and for the theoretical digits `n * 2^f`. Since `e` is always negative, | ||
| 3405 | // to scale them identically, we do `n * 2^f * 5^-f`, so we now have `m * 2^e`. | ||
| 3406 | // we then need to scale by `2^(f- e)`, and then the two significant digits | ||
| 3407 | // are of the same magnitude. | ||
| 3408 | template <typename T> | ||
| 3409 | inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa negative_digit_comp( | ||
| 3410 | bigint &bigmant, adjusted_mantissa am, int32_t exponent) noexcept { | ||
| 3411 | bigint &real_digits = bigmant; | ||
| 3412 | int32_t real_exp = exponent; | ||
| 3413 | |||
| 3414 | // get the value of `b`, rounded down, and get a bigint representation of b+h | ||
| 3415 | adjusted_mantissa am_b = am; | ||
| 3416 | // gcc7 buf: use a lambda to remove the noexcept qualifier bug with | ||
| 3417 | // -Wnoexcept-type. | ||
| 3418 | round<T>(am_b, | ||
| 3419 | [](adjusted_mantissa &a, int32_t shift) { round_down(a, shift); }); | ||
| 3420 | T b; | ||
| 3421 | to_float(false, am_b, b); | ||
| 3422 | adjusted_mantissa theor = to_extended_halfway(b); | ||
| 3423 | bigint theor_digits(theor.mantissa); | ||
| 3424 | int32_t theor_exp = theor.power2; | ||
| 3425 | |||
| 3426 | // scale real digits and theor digits to be same power. | ||
| 3427 | int32_t pow2_exp = theor_exp - real_exp; | ||
| 3428 | uint32_t pow5_exp = uint32_t(-real_exp); | ||
| 3429 | if (pow5_exp != 0) { | ||
| 3430 | FASTFLOAT_ASSERT(theor_digits.pow5(pow5_exp)); | ||
| 3431 | } | ||
| 3432 | if (pow2_exp > 0) { | ||
| 3433 | FASTFLOAT_ASSERT(theor_digits.pow2(uint32_t(pow2_exp))); | ||
| 3434 | } else if (pow2_exp < 0) { | ||
| 3435 | FASTFLOAT_ASSERT(real_digits.pow2(uint32_t(-pow2_exp))); | ||
| 3436 | } | ||
| 3437 | |||
| 3438 | // compare digits, and use it to director rounding | ||
| 3439 | int ord = real_digits.compare(theor_digits); | ||
| 3440 | adjusted_mantissa answer = am; | ||
| 3441 | round<T>(answer, [ord](adjusted_mantissa &a, int32_t shift) { | ||
| 3442 | round_nearest_tie_even( | ||
| 3443 | a, shift, [ord](bool is_odd, bool _, bool __) -> bool { | ||
| 3444 | (void)_; // not needed, since we've done our comparison | ||
| 3445 | (void)__; // not needed, since we've done our comparison | ||
| 3446 | if (ord > 0) { | ||
| 3447 | return true; | ||
| 3448 | } else if (ord < 0) { | ||
| 3449 | return false; | ||
| 3450 | } else { | ||
| 3451 | return is_odd; | ||
| 3452 | } | ||
| 3453 | }); | ||
| 3454 | }); | ||
| 3455 | |||
| 3456 | return answer; | ||
| 3457 | } | ||
| 3458 | |||
| 3459 | // parse the significant digits as a big integer to unambiguously round the | ||
| 3460 | // the significant digits. here, we are trying to determine how to round | ||
| 3461 | // an extended float representation close to `b+h`, halfway between `b` | ||
| 3462 | // (the float rounded-down) and `b+u`, the next positive float. this | ||
| 3463 | // algorithm is always correct, and uses one of two approaches. when | ||
| 3464 | // the exponent is positive relative to the significant digits (such as | ||
| 3465 | // 1234), we create a big-integer representation, get the high 64-bits, | ||
| 3466 | // determine if any lower bits are truncated, and use that to direct | ||
| 3467 | // rounding. in case of a negative exponent relative to the significant | ||
| 3468 | // digits (such as 1.2345), we create a theoretical representation of | ||
| 3469 | // `b` as a big-integer type, scaled to the same binary exponent as | ||
| 3470 | // the actual digits. we then compare the big integer representations | ||
| 3471 | // of both, and use that to direct rounding. | ||
| 3472 | template <typename T, typename UC> | ||
| 3473 | inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa | ||
| 3474 | digit_comp(parsed_number_string_t<UC> &num, adjusted_mantissa am) noexcept { | ||
| 3475 | // remove the invalid exponent bias | ||
| 3476 | am.power2 -= invalid_am_bias; | ||
| 3477 | |||
| 3478 | int32_t sci_exp = scientific_exponent(num); | ||
| 3479 | size_t max_digits = binary_format<T>::max_digits(); | ||
| 3480 | size_t digits = 0; | ||
| 3481 | bigint bigmant; | ||
| 3482 | parse_mantissa(bigmant, num, max_digits, digits); | ||
| 3483 | // can't underflow, since digits is at most max_digits. | ||
| 3484 | int32_t exponent = sci_exp + 1 - int32_t(digits); | ||
| 3485 | if (exponent >= 0) { | ||
| 3486 | return positive_digit_comp<T>(bigmant, exponent); | ||
| 3487 | } else { | ||
| 3488 | return negative_digit_comp<T>(bigmant, am, exponent); | ||
| 3489 | } | ||
| 3490 | } | ||
| 3491 | |||
| 3492 | } // namespace fast_float | ||
| 3493 | |||
| 3494 | #endif | ||
| 3495 | |||
| 3496 | #ifndef FASTFLOAT_PARSE_NUMBER_H | ||
| 3497 | #define FASTFLOAT_PARSE_NUMBER_H | ||
| 3498 | |||
| 3499 | |||
| 3500 | #include <cmath> | ||
| 3501 | #include <cstring> | ||
| 3502 | #include <limits> | ||
| 3503 | #include <system_error> | ||
| 3504 | namespace fast_float { | ||
| 3505 | |||
| 3506 | namespace detail { | ||
| 3507 | /** | ||
| 3508 | * Special case +inf, -inf, nan, infinity, -infinity. | ||
| 3509 | * The case comparisons could be made much faster given that we know that the | ||
| 3510 | * strings a null-free and fixed. | ||
| 3511 | **/ | ||
| 3512 | template <typename T, typename UC> | ||
| 3513 | from_chars_result_t<UC> FASTFLOAT_CONSTEXPR14 parse_infnan(UC const *first, | ||
| 3514 | UC const *last, | ||
| 3515 | T &value) noexcept { | ||
| 3516 | from_chars_result_t<UC> answer{}; | ||
| 3517 | answer.ptr = first; | ||
| 3518 | answer.ec = std::errc(); // be optimistic | ||
| 3519 | bool minusSign = false; | ||
| 3520 | if (*first == | ||
| 3521 | UC('-')) { // assume first < last, so dereference without checks; | ||
| 3522 | // C++17 20.19.3.(7.1) explicitly forbids '+' here | ||
| 3523 | minusSign = true; | ||
| 3524 | ++first; | ||
| 3525 | } | ||
| 3526 | #ifdef FASTFLOAT_ALLOWS_LEADING_PLUS // disabled by default | ||
| 3527 | if (*first == UC('+')) { | ||
| 3528 | ++first; | ||
| 3529 | } | ||
| 3530 | #endif | ||
| 3531 | if (last - first >= 3) { | ||
| 3532 | if (fastfloat_strncasecmp(first, str_const_nan<UC>(), 3)) { | ||
| 3533 | answer.ptr = (first += 3); | ||
| 3534 | value = minusSign ? -std::numeric_limits<T>::quiet_NaN() | ||
| 3535 | : std::numeric_limits<T>::quiet_NaN(); | ||
| 3536 | // Check for possible nan(n-char-seq-opt), C++17 20.19.3.7, | ||
| 3537 | // C11 7.20.1.3.3. At least MSVC produces nan(ind) and nan(snan). | ||
| 3538 | if (first != last && *first == UC('(')) { | ||
| 3539 | for (UC const *ptr = first + 1; ptr != last; ++ptr) { | ||
| 3540 | if (*ptr == UC(')')) { | ||
| 3541 | answer.ptr = ptr + 1; // valid nan(n-char-seq-opt) | ||
| 3542 | break; | ||
| 3543 | } else if (!((UC('a') <= *ptr && *ptr <= UC('z')) || | ||
| 3544 | (UC('A') <= *ptr && *ptr <= UC('Z')) || | ||
| 3545 | (UC('0') <= *ptr && *ptr <= UC('9')) || *ptr == UC('_'))) | ||
| 3546 | break; // forbidden char, not nan(n-char-seq-opt) | ||
| 3547 | } | ||
| 3548 | } | ||
| 3549 | return answer; | ||
| 3550 | } | ||
| 3551 | if (fastfloat_strncasecmp(first, str_const_inf<UC>(), 3)) { | ||
| 3552 | if ((last - first >= 8) && | ||
| 3553 | fastfloat_strncasecmp(first + 3, str_const_inf<UC>() + 3, 5)) { | ||
| 3554 | answer.ptr = first + 8; | ||
| 3555 | } else { | ||
| 3556 | answer.ptr = first + 3; | ||
| 3557 | } | ||
| 3558 | value = minusSign ? -std::numeric_limits<T>::infinity() | ||
| 3559 | : std::numeric_limits<T>::infinity(); | ||
| 3560 | return answer; | ||
| 3561 | } | ||
| 3562 | } | ||
| 3563 | answer.ec = std::errc::invalid_argument; | ||
| 3564 | return answer; | ||
| 3565 | } | ||
| 3566 | |||
| 3567 | /** | ||
| 3568 | * Returns true if the floating-pointing rounding mode is to 'nearest'. | ||
| 3569 | * It is the default on most system. This function is meant to be inexpensive. | ||
| 3570 | * Credit : @mwalcott3 | ||
| 3571 | */ | ||
| 3572 | fastfloat_really_inline bool rounds_to_nearest() noexcept { | ||
| 3573 | // https://lemire.me/blog/2020/06/26/gcc-not-nearest/ | ||
| 3574 | #if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0) | ||
| 3575 | return false; | ||
| 3576 | #endif | ||
| 3577 | // See | ||
| 3578 | // A fast function to check your floating-point rounding mode | ||
| 3579 | // https://lemire.me/blog/2022/11/16/a-fast-function-to-check-your-floating-point-rounding-mode/ | ||
| 3580 | // | ||
| 3581 | // This function is meant to be equivalent to : | ||
| 3582 | // prior: #include <cfenv> | ||
| 3583 | // return fegetround() == FE_TONEAREST; | ||
| 3584 | // However, it is expected to be much faster than the fegetround() | ||
| 3585 | // function call. | ||
| 3586 | // | ||
| 3587 | // The volatile keywoard prevents the compiler from computing the function | ||
| 3588 | // at compile-time. | ||
| 3589 | // There might be other ways to prevent compile-time optimizations (e.g., | ||
| 3590 | // asm). The value does not need to be std::numeric_limits<float>::min(), any | ||
| 3591 | // small value so that 1 + x should round to 1 would do (after accounting for | ||
| 3592 | // excess precision, as in 387 instructions). | ||
| 3593 | static volatile float fmin = std::numeric_limits<float>::min(); | ||
| 3594 | float fmini = fmin; // we copy it so that it gets loaded at most once. | ||
| 3595 | // | ||
| 3596 | // Explanation: | ||
| 3597 | // Only when fegetround() == FE_TONEAREST do we have that | ||
| 3598 | // fmin + 1.0f == 1.0f - fmin. | ||
| 3599 | // | ||
| 3600 | // FE_UPWARD: | ||
| 3601 | // fmin + 1.0f > 1 | ||
| 3602 | // 1.0f - fmin == 1 | ||
| 3603 | // | ||
| 3604 | // FE_DOWNWARD or FE_TOWARDZERO: | ||
| 3605 | // fmin + 1.0f == 1 | ||
| 3606 | // 1.0f - fmin < 1 | ||
| 3607 | // | ||
| 3608 | // Note: This may fail to be accurate if fast-math has been | ||
| 3609 | // enabled, as rounding conventions may not apply. | ||
| 3610 | #ifdef FASTFLOAT_VISUAL_STUDIO | ||
| 3611 | #pragma warning(push) | ||
| 3612 | // todo: is there a VS warning? | ||
| 3613 | // see | ||
| 3614 | // https://stackoverflow.com/questions/46079446/is-there-a-warning-for-floating-point-equality-checking-in-visual-studio-2013 | ||
| 3615 | #elif defined(__clang__) | ||
| 3616 | #pragma clang diagnostic push | ||
| 3617 | #pragma clang diagnostic ignored "-Wfloat-equal" | ||
| 3618 | #elif defined(__GNUC__) | ||
| 3619 | #pragma GCC diagnostic push | ||
| 3620 | #pragma GCC diagnostic ignored "-Wfloat-equal" | ||
| 3621 | #endif | ||
| 3622 | return (fmini + 1.0f == 1.0f - fmini); | ||
| 3623 | #ifdef FASTFLOAT_VISUAL_STUDIO | ||
| 3624 | #pragma warning(pop) | ||
| 3625 | #elif defined(__clang__) | ||
| 3626 | #pragma clang diagnostic pop | ||
| 3627 | #elif defined(__GNUC__) | ||
| 3628 | #pragma GCC diagnostic pop | ||
| 3629 | #endif | ||
| 3630 | } | ||
| 3631 | |||
| 3632 | } // namespace detail | ||
| 3633 | |||
| 3634 | template <typename T> struct from_chars_caller { | ||
| 3635 | template <typename UC> | ||
| 3636 | FASTFLOAT_CONSTEXPR20 static from_chars_result_t<UC> | ||
| 3637 | call(UC const *first, UC const *last, T &value, | ||
| 3638 | parse_options_t<UC> options) noexcept { | ||
| 3639 | return from_chars_advanced(first, last, value, options); | ||
| 3640 | } | ||
| 3641 | }; | ||
| 3642 | |||
| 3643 | #if __STDCPP_FLOAT32_T__ == 1 | ||
| 3644 | template <> struct from_chars_caller<std::float32_t> { | ||
| 3645 | template <typename UC> | ||
| 3646 | FASTFLOAT_CONSTEXPR20 static from_chars_result_t<UC> | ||
| 3647 | call(UC const *first, UC const *last, std::float32_t &value, | ||
| 3648 | parse_options_t<UC> options) noexcept { | ||
| 3649 | // if std::float32_t is defined, and we are in C++23 mode; macro set for | ||
| 3650 | // float32; set value to float due to equivalence between float and | ||
| 3651 | // float32_t | ||
| 3652 | float val; | ||
| 3653 | auto ret = from_chars_advanced(first, last, val, options); | ||
| 3654 | value = val; | ||
| 3655 | return ret; | ||
| 3656 | } | ||
| 3657 | }; | ||
| 3658 | #endif | ||
| 3659 | |||
| 3660 | #if __STDCPP_FLOAT64_T__ == 1 | ||
| 3661 | template <> struct from_chars_caller<std::float64_t> { | ||
| 3662 | template <typename UC> | ||
| 3663 | FASTFLOAT_CONSTEXPR20 static from_chars_result_t<UC> | ||
| 3664 | call(UC const *first, UC const *last, std::float64_t &value, | ||
| 3665 | parse_options_t<UC> options) noexcept { | ||
| 3666 | // if std::float64_t is defined, and we are in C++23 mode; macro set for | ||
| 3667 | // float64; set value as double due to equivalence between double and | ||
| 3668 | // float64_t | ||
| 3669 | double val; | ||
| 3670 | auto ret = from_chars_advanced(first, last, val, options); | ||
| 3671 | value = val; | ||
| 3672 | return ret; | ||
| 3673 | } | ||
| 3674 | }; | ||
| 3675 | #endif | ||
| 3676 | |||
| 3677 | template <typename T, typename UC, typename> | ||
| 3678 | FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> | ||
| 3679 | from_chars(UC const *first, UC const *last, T &value, | ||
| 3680 | chars_format fmt /*= chars_format::general*/) noexcept { | ||
| 3681 | return from_chars_caller<T>::call(first, last, value, | ||
| 3682 | parse_options_t<UC>(fmt)); | ||
| 3683 | } | ||
| 3684 | |||
| 3685 | /** | ||
| 3686 | * This function overload takes parsed_number_string_t structure that is created | ||
| 3687 | * and populated either by from_chars_advanced function taking chars range and | ||
| 3688 | * parsing options or other parsing custom function implemented by user. | ||
| 3689 | */ | ||
| 3690 | template <typename T, typename UC> | ||
| 3691 | FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> | ||
| 3692 | from_chars_advanced(parsed_number_string_t<UC> &pns, T &value) noexcept { | ||
| 3693 | |||
| 3694 | static_assert(is_supported_float_type<T>(), | ||
| 3695 | "only some floating-point types are supported"); | ||
| 3696 | static_assert(is_supported_char_type<UC>(), | ||
| 3697 | "only char, wchar_t, char16_t and char32_t are supported"); | ||
| 3698 | |||
| 3699 | from_chars_result_t<UC> answer; | ||
| 3700 | |||
| 3701 | answer.ec = std::errc(); // be optimistic | ||
| 3702 | answer.ptr = pns.lastmatch; | ||
| 3703 | // The implementation of the Clinger's fast path is convoluted because | ||
| 3704 | // we want round-to-nearest in all cases, irrespective of the rounding mode | ||
| 3705 | // selected on the thread. | ||
| 3706 | // We proceed optimistically, assuming that detail::rounds_to_nearest() | ||
| 3707 | // returns true. | ||
| 3708 | if (binary_format<T>::min_exponent_fast_path() <= pns.exponent && | ||
| 3709 | pns.exponent <= binary_format<T>::max_exponent_fast_path() && | ||
| 3710 | !pns.too_many_digits) { | ||
| 3711 | // Unfortunately, the conventional Clinger's fast path is only possible | ||
| 3712 | // when the system rounds to the nearest float. | ||
| 3713 | // | ||
| 3714 | // We expect the next branch to almost always be selected. | ||
| 3715 | // We could check it first (before the previous branch), but | ||
| 3716 | // there might be performance advantages at having the check | ||
| 3717 | // be last. | ||
| 3718 | if (!cpp20_and_in_constexpr() && detail::rounds_to_nearest()) { | ||
| 3719 | // We have that fegetround() == FE_TONEAREST. | ||
| 3720 | // Next is Clinger's fast path. | ||
| 3721 | if (pns.mantissa <= binary_format<T>::max_mantissa_fast_path()) { | ||
| 3722 | value = T(pns.mantissa); | ||
| 3723 | if (pns.exponent < 0) { | ||
| 3724 | value = value / binary_format<T>::exact_power_of_ten(-pns.exponent); | ||
| 3725 | } else { | ||
| 3726 | value = value * binary_format<T>::exact_power_of_ten(pns.exponent); | ||
| 3727 | } | ||
| 3728 | if (pns.negative) { | ||
| 3729 | value = -value; | ||
| 3730 | } | ||
| 3731 | return answer; | ||
| 3732 | } | ||
| 3733 | } else { | ||
| 3734 | // We do not have that fegetround() == FE_TONEAREST. | ||
| 3735 | // Next is a modified Clinger's fast path, inspired by Jakub Jelínek's | ||
| 3736 | // proposal | ||
| 3737 | if (pns.exponent >= 0 && | ||
| 3738 | pns.mantissa <= | ||
| 3739 | binary_format<T>::max_mantissa_fast_path(pns.exponent)) { | ||
| 3740 | #if defined(__clang__) || defined(FASTFLOAT_32BIT) | ||
| 3741 | // Clang may map 0 to -0.0 when fegetround() == FE_DOWNWARD | ||
| 3742 | if (pns.mantissa == 0) { | ||
| 3743 | value = pns.negative ? T(-0.) : T(0.); | ||
| 3744 | return answer; | ||
| 3745 | } | ||
| 3746 | #endif | ||
| 3747 | value = T(pns.mantissa) * | ||
| 3748 | binary_format<T>::exact_power_of_ten(pns.exponent); | ||
| 3749 | if (pns.negative) { | ||
| 3750 | value = -value; | ||
| 3751 | } | ||
| 3752 | return answer; | ||
| 3753 | } | ||
| 3754 | } | ||
| 3755 | } | ||
| 3756 | adjusted_mantissa am = | ||
| 3757 | compute_float<binary_format<T>>(pns.exponent, pns.mantissa); | ||
| 3758 | if (pns.too_many_digits && am.power2 >= 0) { | ||
| 3759 | if (am != compute_float<binary_format<T>>(pns.exponent, pns.mantissa + 1)) { | ||
| 3760 | am = compute_error<binary_format<T>>(pns.exponent, pns.mantissa); | ||
| 3761 | } | ||
| 3762 | } | ||
| 3763 | // If we called compute_float<binary_format<T>>(pns.exponent, pns.mantissa) | ||
| 3764 | // and we have an invalid power (am.power2 < 0), then we need to go the long | ||
| 3765 | // way around again. This is very uncommon. | ||
| 3766 | if (am.power2 < 0) { | ||
| 3767 | am = digit_comp<T>(pns, am); | ||
| 3768 | } | ||
| 3769 | to_float(pns.negative, am, value); | ||
| 3770 | // Test for over/underflow. | ||
| 3771 | if ((pns.mantissa != 0 && am.mantissa == 0 && am.power2 == 0) || | ||
| 3772 | am.power2 == binary_format<T>::infinite_power()) { | ||
| 3773 | answer.ec = std::errc::result_out_of_range; | ||
| 3774 | } | ||
| 3775 | return answer; | ||
| 3776 | } | ||
| 3777 | |||
| 3778 | template <typename T, typename UC> | ||
| 3779 | FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> | ||
| 3780 | from_chars_advanced(UC const *first, UC const *last, T &value, | ||
| 3781 | parse_options_t<UC> options) noexcept { | ||
| 3782 | |||
| 3783 | static_assert(is_supported_float_type<T>(), | ||
| 3784 | "only some floating-point types are supported"); | ||
| 3785 | static_assert(is_supported_char_type<UC>(), | ||
| 3786 | "only char, wchar_t, char16_t and char32_t are supported"); | ||
| 3787 | |||
| 3788 | from_chars_result_t<UC> answer; | ||
| 3789 | #ifdef FASTFLOAT_SKIP_WHITE_SPACE // disabled by default | ||
| 3790 | while ((first != last) && fast_float::is_space(uint8_t(*first))) { | ||
| 3791 | first++; | ||
| 3792 | } | ||
| 3793 | #endif | ||
| 3794 | if (first == last) { | ||
| 3795 | answer.ec = std::errc::invalid_argument; | ||
| 3796 | answer.ptr = first; | ||
| 3797 | return answer; | ||
| 3798 | } | ||
| 3799 | parsed_number_string_t<UC> pns = | ||
| 3800 | parse_number_string<UC>(first, last, options); | ||
| 3801 | if (!pns.valid) { | ||
| 3802 | if (options.format & chars_format::no_infnan) { | ||
| 3803 | answer.ec = std::errc::invalid_argument; | ||
| 3804 | answer.ptr = first; | ||
| 3805 | return answer; | ||
| 3806 | } else { | ||
| 3807 | return detail::parse_infnan(first, last, value); | ||
| 3808 | } | ||
| 3809 | } | ||
| 3810 | |||
| 3811 | // call overload that takes parsed_number_string_t directly. | ||
| 3812 | return from_chars_advanced(pns, value); | ||
| 3813 | } | ||
| 3814 | |||
| 3815 | template <typename T, typename UC, typename> | ||
| 3816 | FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> | ||
| 3817 | from_chars(UC const *first, UC const *last, T &value, int base) noexcept { | ||
| 3818 | static_assert(is_supported_char_type<UC>(), | ||
| 3819 | "only char, wchar_t, char16_t and char32_t are supported"); | ||
| 3820 | |||
| 3821 | from_chars_result_t<UC> answer; | ||
| 3822 | #ifdef FASTFLOAT_SKIP_WHITE_SPACE // disabled by default | ||
| 3823 | while ((first != last) && fast_float::is_space(uint8_t(*first))) { | ||
| 3824 | first++; | ||
| 3825 | } | ||
| 3826 | #endif | ||
| 3827 | if (first == last || base < 2 || base > 36) { | ||
| 3828 | answer.ec = std::errc::invalid_argument; | ||
| 3829 | answer.ptr = first; | ||
| 3830 | return answer; | ||
| 3831 | } | ||
| 3832 | return parse_int_string(first, last, value, base); | ||
| 3833 | } | ||
| 3834 | |||
| 3835 | } // namespace fast_float | ||
| 3836 | |||
| 3837 | #endif | ||
| 3838 | |||
diff --git a/examples/redis-unstable/deps/fast_float/fast_float_strtod.cpp b/examples/redis-unstable/deps/fast_float/fast_float_strtod.cpp new file mode 100644 index 0000000..7f4235c --- /dev/null +++ b/examples/redis-unstable/deps/fast_float/fast_float_strtod.cpp | |||
| @@ -0,0 +1,32 @@ | |||
| 1 | #include "fast_float.h" | ||
| 2 | #include <iostream> | ||
| 3 | #include <string> | ||
| 4 | #include <system_error> | ||
| 5 | #include <cerrno> | ||
| 6 | |||
| 7 | /* Convert NPTR to a double using the fast_float library. | ||
| 8 | * | ||
| 9 | * This function behaves similarly to the standard strtod function, converting | ||
| 10 | * the initial portion of the string pointed to by `nptr` to a `double` value, | ||
| 11 | * using the fast_float library for high performance. If the conversion fails, | ||
| 12 | * errno is set to EINVAL error code. | ||
| 13 | * | ||
| 14 | * @param nptr A pointer to the null-terminated byte string to be interpreted. | ||
| 15 | * @param endptr A pointer to a pointer to character. If `endptr` is not NULL, | ||
| 16 | * it will point to the character after the last character used | ||
| 17 | * in the conversion. | ||
| 18 | * @return The converted value as a double. If no valid conversion could | ||
| 19 | * be performed, returns 0.0. | ||
| 20 | * If ENDPTR is not NULL, a pointer to the character after the last one used | ||
| 21 | * in the number is put in *ENDPTR. */ | ||
| 22 | extern "C" double fast_float_strtod(const char *nptr, char **endptr) { | ||
| 23 | double result = 0.0; | ||
| 24 | auto answer = fast_float::from_chars(nptr, nptr + strlen(nptr), result); | ||
| 25 | if (answer.ec != std::errc()) { | ||
| 26 | errno = EINVAL; // Fallback to for other errors | ||
| 27 | } | ||
| 28 | if (endptr != NULL) { | ||
| 29 | *endptr = (char *)answer.ptr; | ||
| 30 | } | ||
| 31 | return result; | ||
| 32 | } | ||
diff --git a/examples/redis-unstable/deps/fast_float/fast_float_strtod.h b/examples/redis-unstable/deps/fast_float/fast_float_strtod.h new file mode 100644 index 0000000..1755076 --- /dev/null +++ b/examples/redis-unstable/deps/fast_float/fast_float_strtod.h | |||
| @@ -0,0 +1,15 @@ | |||
| 1 | |||
| 2 | #ifndef __FAST_FLOAT_STRTOD_H__ | ||
| 3 | #define __FAST_FLOAT_STRTOD_H__ | ||
| 4 | |||
| 5 | #if defined(__cplusplus) | ||
| 6 | extern "C" | ||
| 7 | { | ||
| 8 | #endif | ||
| 9 | double fast_float_strtod(const char *in, char **out); | ||
| 10 | |||
| 11 | #if defined(__cplusplus) | ||
| 12 | } | ||
| 13 | #endif | ||
| 14 | |||
| 15 | #endif /* __FAST_FLOAT_STRTOD_H__ */ | ||
