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Diffstat (limited to 'examples/redis-unstable/deps/fast_float/fast_float.h')
| -rw-r--r-- | examples/redis-unstable/deps/fast_float/fast_float.h | 3838 |
1 files changed, 0 insertions, 3838 deletions
diff --git a/examples/redis-unstable/deps/fast_float/fast_float.h b/examples/redis-unstable/deps/fast_float/fast_float.h deleted file mode 100644 index 81d9da5..0000000 --- a/examples/redis-unstable/deps/fast_float/fast_float.h +++ /dev/null @@ -1,3838 +0,0 @@ -// fast_float by Daniel Lemire -// fast_float by João Paulo Magalhaes -// -// -// with contributions from Eugene Golushkov -// with contributions from Maksim Kita -// with contributions from Marcin Wojdyr -// with contributions from Neal Richardson -// with contributions from Tim Paine -// with contributions from Fabio Pellacini -// with contributions from Lénárd Szolnoki -// with contributions from Jan Pharago -// with contributions from Maya Warrier -// with contributions from Taha Khokhar -// -// -// MIT License Notice -// -// MIT License -// -// Copyright (c) 2021 The fast_float authors -// -// Permission is hereby granted, free of charge, to any -// person obtaining a copy of this software and associated -// documentation files (the "Software"), to deal in the -// Software without restriction, including without -// limitation the rights to use, copy, modify, merge, -// publish, distribute, sublicense, and/or sell copies of -// the Software, and to permit persons to whom the Software -// is furnished to do so, subject to the following -// conditions: -// -// The above copyright notice and this permission notice -// shall be included in all copies or substantial portions -// of the Software. -// -// THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF -// ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED -// TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A -// PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT -// SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY -// CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION -// OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR -// IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER -// DEALINGS IN THE SOFTWARE. -// - -#ifndef FASTFLOAT_CONSTEXPR_FEATURE_DETECT_H -#define FASTFLOAT_CONSTEXPR_FEATURE_DETECT_H - -#ifdef __has_include -#if __has_include(<version>) -#include <version> -#endif -#endif - -// Testing for https://wg21.link/N3652, adopted in C++14 -#if __cpp_constexpr >= 201304 -#define FASTFLOAT_CONSTEXPR14 constexpr -#else -#define FASTFLOAT_CONSTEXPR14 -#endif - -#if defined(__cpp_lib_bit_cast) && __cpp_lib_bit_cast >= 201806L -#define FASTFLOAT_HAS_BIT_CAST 1 -#else -#define FASTFLOAT_HAS_BIT_CAST 0 -#endif - -#if defined(__cpp_lib_is_constant_evaluated) && \ - __cpp_lib_is_constant_evaluated >= 201811L -#define FASTFLOAT_HAS_IS_CONSTANT_EVALUATED 1 -#else -#define FASTFLOAT_HAS_IS_CONSTANT_EVALUATED 0 -#endif - -// Testing for relevant C++20 constexpr library features -#if FASTFLOAT_HAS_IS_CONSTANT_EVALUATED && FASTFLOAT_HAS_BIT_CAST && \ - __cpp_lib_constexpr_algorithms >= 201806L /*For std::copy and std::fill*/ -#define FASTFLOAT_CONSTEXPR20 constexpr -#define FASTFLOAT_IS_CONSTEXPR 1 -#else -#define FASTFLOAT_CONSTEXPR20 -#define FASTFLOAT_IS_CONSTEXPR 0 -#endif - -#endif // FASTFLOAT_CONSTEXPR_FEATURE_DETECT_H - -#ifndef FASTFLOAT_FLOAT_COMMON_H -#define FASTFLOAT_FLOAT_COMMON_H - -#include <cfloat> -#include <cstdint> -#include <cassert> -#include <cstring> -#include <type_traits> -#include <system_error> -#ifdef __has_include -#if __has_include(<stdfloat>) && (__cplusplus > 202002L || _MSVC_LANG > 202002L) -#include <stdfloat> -#endif -#endif - -namespace fast_float { - -#define FASTFLOAT_JSONFMT (1 << 5) -#define FASTFLOAT_FORTRANFMT (1 << 6) - -enum chars_format { - scientific = 1 << 0, - fixed = 1 << 2, - hex = 1 << 3, - no_infnan = 1 << 4, - // RFC 8259: https://datatracker.ietf.org/doc/html/rfc8259#section-6 - json = FASTFLOAT_JSONFMT | fixed | scientific | no_infnan, - // Extension of RFC 8259 where, e.g., "inf" and "nan" are allowed. - json_or_infnan = FASTFLOAT_JSONFMT | fixed | scientific, - fortran = FASTFLOAT_FORTRANFMT | fixed | scientific, - general = fixed | scientific -}; - -template <typename UC> struct from_chars_result_t { - UC const *ptr; - std::errc ec; -}; -using from_chars_result = from_chars_result_t<char>; - -template <typename UC> struct parse_options_t { - constexpr explicit parse_options_t(chars_format fmt = chars_format::general, - UC dot = UC('.')) - : format(fmt), decimal_point(dot) {} - - /** Which number formats are accepted */ - chars_format format; - /** The character used as decimal point */ - UC decimal_point; -}; -using parse_options = parse_options_t<char>; - -} // namespace fast_float - -#if FASTFLOAT_HAS_BIT_CAST -#include <bit> -#endif - -#if (defined(__x86_64) || defined(__x86_64__) || defined(_M_X64) || \ - defined(__amd64) || defined(__aarch64__) || defined(_M_ARM64) || \ - defined(__MINGW64__) || defined(__s390x__) || \ - (defined(__ppc64__) || defined(__PPC64__) || defined(__ppc64le__) || \ - defined(__PPC64LE__)) || \ - defined(__loongarch64)) -#define FASTFLOAT_64BIT 1 -#elif (defined(__i386) || defined(__i386__) || defined(_M_IX86) || \ - defined(__arm__) || defined(_M_ARM) || defined(__ppc__) || \ - defined(__MINGW32__) || defined(__EMSCRIPTEN__)) -#define FASTFLOAT_32BIT 1 -#else - // Need to check incrementally, since SIZE_MAX is a size_t, avoid overflow. -// We can never tell the register width, but the SIZE_MAX is a good -// approximation. UINTPTR_MAX and INTPTR_MAX are optional, so avoid them for max -// portability. -#if SIZE_MAX == 0xffff -#error Unknown platform (16-bit, unsupported) -#elif SIZE_MAX == 0xffffffff -#define FASTFLOAT_32BIT 1 -#elif SIZE_MAX == 0xffffffffffffffff -#define FASTFLOAT_64BIT 1 -#else -#error Unknown platform (not 32-bit, not 64-bit?) -#endif -#endif - -#if ((defined(_WIN32) || defined(_WIN64)) && !defined(__clang__)) || \ - (defined(_M_ARM64) && !defined(__MINGW32__)) -#include <intrin.h> -#endif - -#if defined(_MSC_VER) && !defined(__clang__) -#define FASTFLOAT_VISUAL_STUDIO 1 -#endif - -#if defined __BYTE_ORDER__ && defined __ORDER_BIG_ENDIAN__ -#define FASTFLOAT_IS_BIG_ENDIAN (__BYTE_ORDER__ == __ORDER_BIG_ENDIAN__) -#elif defined _WIN32 -#define FASTFLOAT_IS_BIG_ENDIAN 0 -#else -#if defined(__APPLE__) || defined(__FreeBSD__) -#include <machine/endian.h> -#elif defined(sun) || defined(__sun) -#include <sys/byteorder.h> -#elif defined(__MVS__) -#include <sys/endian.h> -#else -#ifdef __has_include -#if __has_include(<endian.h>) -#include <endian.h> -#endif //__has_include(<endian.h>) -#endif //__has_include -#endif -# -#ifndef __BYTE_ORDER__ -// safe choice -#define FASTFLOAT_IS_BIG_ENDIAN 0 -#endif -# -#ifndef __ORDER_LITTLE_ENDIAN__ -// safe choice -#define FASTFLOAT_IS_BIG_ENDIAN 0 -#endif -# -#if __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__ -#define FASTFLOAT_IS_BIG_ENDIAN 0 -#else -#define FASTFLOAT_IS_BIG_ENDIAN 1 -#endif -#endif - -#if defined(__SSE2__) || (defined(FASTFLOAT_VISUAL_STUDIO) && \ - (defined(_M_AMD64) || defined(_M_X64) || \ - (defined(_M_IX86_FP) && _M_IX86_FP == 2))) -#define FASTFLOAT_SSE2 1 -#endif - -#if defined(__aarch64__) || defined(_M_ARM64) -#define FASTFLOAT_NEON 1 -#endif - -#if defined(FASTFLOAT_SSE2) || defined(FASTFLOAT_NEON) -#define FASTFLOAT_HAS_SIMD 1 -#endif - -#if defined(__GNUC__) -// disable -Wcast-align=strict (GCC only) -#define FASTFLOAT_SIMD_DISABLE_WARNINGS \ - _Pragma("GCC diagnostic push") \ - _Pragma("GCC diagnostic ignored \"-Wcast-align\"") -#else -#define FASTFLOAT_SIMD_DISABLE_WARNINGS -#endif - -#if defined(__GNUC__) -#define FASTFLOAT_SIMD_RESTORE_WARNINGS _Pragma("GCC diagnostic pop") -#else -#define FASTFLOAT_SIMD_RESTORE_WARNINGS -#endif - -#ifdef FASTFLOAT_VISUAL_STUDIO -#define fastfloat_really_inline __forceinline -#else -#define fastfloat_really_inline inline __attribute__((always_inline)) -#endif - -#ifndef FASTFLOAT_ASSERT -#define FASTFLOAT_ASSERT(x) \ - { ((void)(x)); } -#endif - -#ifndef FASTFLOAT_DEBUG_ASSERT -#define FASTFLOAT_DEBUG_ASSERT(x) \ - { ((void)(x)); } -#endif - -// rust style `try!()` macro, or `?` operator -#define FASTFLOAT_TRY(x) \ - { \ - if (!(x)) \ - return false; \ - } - -#define FASTFLOAT_ENABLE_IF(...) \ - typename std::enable_if<(__VA_ARGS__), int>::type - -namespace fast_float { - -fastfloat_really_inline constexpr bool cpp20_and_in_constexpr() { -#if FASTFLOAT_HAS_IS_CONSTANT_EVALUATED - return std::is_constant_evaluated(); -#else - return false; -#endif -} - -template <typename T> -fastfloat_really_inline constexpr bool is_supported_float_type() { - return std::is_same<T, float>::value || std::is_same<T, double>::value -#if __STDCPP_FLOAT32_T__ - || std::is_same<T, std::float32_t>::value -#endif -#if __STDCPP_FLOAT64_T__ - || std::is_same<T, std::float64_t>::value -#endif - ; -} - -template <typename UC> -fastfloat_really_inline constexpr bool is_supported_char_type() { - return std::is_same<UC, char>::value || std::is_same<UC, wchar_t>::value || - std::is_same<UC, char16_t>::value || std::is_same<UC, char32_t>::value; -} - -// Compares two ASCII strings in a case insensitive manner. -template <typename UC> -inline FASTFLOAT_CONSTEXPR14 bool -fastfloat_strncasecmp(UC const *input1, UC const *input2, size_t length) { - char running_diff{0}; - for (size_t i = 0; i < length; ++i) { - running_diff |= (char(input1[i]) ^ char(input2[i])); - } - return (running_diff == 0) || (running_diff == 32); -} - -#ifndef FLT_EVAL_METHOD -#error "FLT_EVAL_METHOD should be defined, please include cfloat." -#endif - -// a pointer and a length to a contiguous block of memory -template <typename T> struct span { - const T *ptr; - size_t length; - constexpr span(const T *_ptr, size_t _length) : ptr(_ptr), length(_length) {} - constexpr span() : ptr(nullptr), length(0) {} - - constexpr size_t len() const noexcept { return length; } - - FASTFLOAT_CONSTEXPR14 const T &operator[](size_t index) const noexcept { - FASTFLOAT_DEBUG_ASSERT(index < length); - return ptr[index]; - } -}; - -struct value128 { - uint64_t low; - uint64_t high; - constexpr value128(uint64_t _low, uint64_t _high) : low(_low), high(_high) {} - constexpr value128() : low(0), high(0) {} -}; - -/* Helper C++14 constexpr generic implementation of leading_zeroes */ -fastfloat_really_inline FASTFLOAT_CONSTEXPR14 int -leading_zeroes_generic(uint64_t input_num, int last_bit = 0) { - if (input_num & uint64_t(0xffffffff00000000)) { - input_num >>= 32; - last_bit |= 32; - } - if (input_num & uint64_t(0xffff0000)) { - input_num >>= 16; - last_bit |= 16; - } - if (input_num & uint64_t(0xff00)) { - input_num >>= 8; - last_bit |= 8; - } - if (input_num & uint64_t(0xf0)) { - input_num >>= 4; - last_bit |= 4; - } - if (input_num & uint64_t(0xc)) { - input_num >>= 2; - last_bit |= 2; - } - if (input_num & uint64_t(0x2)) { /* input_num >>= 1; */ - last_bit |= 1; - } - return 63 - last_bit; -} - -/* result might be undefined when input_num is zero */ -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 int -leading_zeroes(uint64_t input_num) { - assert(input_num > 0); - if (cpp20_and_in_constexpr()) { - return leading_zeroes_generic(input_num); - } -#ifdef FASTFLOAT_VISUAL_STUDIO -#if defined(_M_X64) || defined(_M_ARM64) - unsigned long leading_zero = 0; - // Search the mask data from most significant bit (MSB) - // to least significant bit (LSB) for a set bit (1). - _BitScanReverse64(&leading_zero, input_num); - return (int)(63 - leading_zero); -#else - return leading_zeroes_generic(input_num); -#endif -#else - return __builtin_clzll(input_num); -#endif -} - -// slow emulation routine for 32-bit -fastfloat_really_inline constexpr uint64_t emulu(uint32_t x, uint32_t y) { - return x * (uint64_t)y; -} - -fastfloat_really_inline FASTFLOAT_CONSTEXPR14 uint64_t -umul128_generic(uint64_t ab, uint64_t cd, uint64_t *hi) { - uint64_t ad = emulu((uint32_t)(ab >> 32), (uint32_t)cd); - uint64_t bd = emulu((uint32_t)ab, (uint32_t)cd); - uint64_t adbc = ad + emulu((uint32_t)ab, (uint32_t)(cd >> 32)); - uint64_t adbc_carry = (uint64_t)(adbc < ad); - uint64_t lo = bd + (adbc << 32); - *hi = emulu((uint32_t)(ab >> 32), (uint32_t)(cd >> 32)) + (adbc >> 32) + - (adbc_carry << 32) + (uint64_t)(lo < bd); - return lo; -} - -#ifdef FASTFLOAT_32BIT - -// slow emulation routine for 32-bit -#if !defined(__MINGW64__) -fastfloat_really_inline FASTFLOAT_CONSTEXPR14 uint64_t _umul128(uint64_t ab, - uint64_t cd, - uint64_t *hi) { - return umul128_generic(ab, cd, hi); -} -#endif // !__MINGW64__ - -#endif // FASTFLOAT_32BIT - -// compute 64-bit a*b -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 value128 -full_multiplication(uint64_t a, uint64_t b) { - if (cpp20_and_in_constexpr()) { - value128 answer; - answer.low = umul128_generic(a, b, &answer.high); - return answer; - } - value128 answer; -#if defined(_M_ARM64) && !defined(__MINGW32__) - // ARM64 has native support for 64-bit multiplications, no need to emulate - // But MinGW on ARM64 doesn't have native support for 64-bit multiplications - answer.high = __umulh(a, b); - answer.low = a * b; -#elif defined(FASTFLOAT_32BIT) || (defined(_WIN64) && !defined(__clang__)) - answer.low = _umul128(a, b, &answer.high); // _umul128 not available on ARM64 -#elif defined(FASTFLOAT_64BIT) && defined(__SIZEOF_INT128__) - __uint128_t r = ((__uint128_t)a) * b; - answer.low = uint64_t(r); - answer.high = uint64_t(r >> 64); -#else - answer.low = umul128_generic(a, b, &answer.high); -#endif - return answer; -} - -struct adjusted_mantissa { - uint64_t mantissa{0}; - int32_t power2{0}; // a negative value indicates an invalid result - adjusted_mantissa() = default; - constexpr bool operator==(const adjusted_mantissa &o) const { - return mantissa == o.mantissa && power2 == o.power2; - } - constexpr bool operator!=(const adjusted_mantissa &o) const { - return mantissa != o.mantissa || power2 != o.power2; - } -}; - -// Bias so we can get the real exponent with an invalid adjusted_mantissa. -constexpr static int32_t invalid_am_bias = -0x8000; - -// used for binary_format_lookup_tables<T>::max_mantissa -constexpr uint64_t constant_55555 = 5 * 5 * 5 * 5 * 5; - -template <typename T, typename U = void> struct binary_format_lookup_tables; - -template <typename T> struct binary_format : binary_format_lookup_tables<T> { - using equiv_uint = - typename std::conditional<sizeof(T) == 4, uint32_t, uint64_t>::type; - - static inline constexpr int mantissa_explicit_bits(); - static inline constexpr int minimum_exponent(); - static inline constexpr int infinite_power(); - static inline constexpr int sign_index(); - static inline constexpr int - min_exponent_fast_path(); // used when fegetround() == FE_TONEAREST - static inline constexpr int max_exponent_fast_path(); - static inline constexpr int max_exponent_round_to_even(); - static inline constexpr int min_exponent_round_to_even(); - static inline constexpr uint64_t max_mantissa_fast_path(int64_t power); - static inline constexpr uint64_t - max_mantissa_fast_path(); // used when fegetround() == FE_TONEAREST - static inline constexpr int largest_power_of_ten(); - static inline constexpr int smallest_power_of_ten(); - static inline constexpr T exact_power_of_ten(int64_t power); - static inline constexpr size_t max_digits(); - static inline constexpr equiv_uint exponent_mask(); - static inline constexpr equiv_uint mantissa_mask(); - static inline constexpr equiv_uint hidden_bit_mask(); -}; - -template <typename U> struct binary_format_lookup_tables<double, U> { - static constexpr double powers_of_ten[] = { - 1e0, 1e1, 1e2, 1e3, 1e4, 1e5, 1e6, 1e7, 1e8, 1e9, 1e10, 1e11, - 1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22}; - - // Largest integer value v so that (5**index * v) <= 1<<53. - // 0x20000000000000 == 1 << 53 - static constexpr uint64_t max_mantissa[] = { - 0x20000000000000, - 0x20000000000000 / 5, - 0x20000000000000 / (5 * 5), - 0x20000000000000 / (5 * 5 * 5), - 0x20000000000000 / (5 * 5 * 5 * 5), - 0x20000000000000 / (constant_55555), - 0x20000000000000 / (constant_55555 * 5), - 0x20000000000000 / (constant_55555 * 5 * 5), - 0x20000000000000 / (constant_55555 * 5 * 5 * 5), - 0x20000000000000 / (constant_55555 * 5 * 5 * 5 * 5), - 0x20000000000000 / (constant_55555 * constant_55555), - 0x20000000000000 / (constant_55555 * constant_55555 * 5), - 0x20000000000000 / (constant_55555 * constant_55555 * 5 * 5), - 0x20000000000000 / (constant_55555 * constant_55555 * 5 * 5 * 5), - 0x20000000000000 / (constant_55555 * constant_55555 * constant_55555), - 0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 * 5), - 0x20000000000000 / - (constant_55555 * constant_55555 * constant_55555 * 5 * 5), - 0x20000000000000 / - (constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5), - 0x20000000000000 / - (constant_55555 * constant_55555 * constant_55555 * 5 * 5 * 5 * 5), - 0x20000000000000 / - (constant_55555 * constant_55555 * constant_55555 * constant_55555), - 0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 * - constant_55555 * 5), - 0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 * - constant_55555 * 5 * 5), - 0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 * - constant_55555 * 5 * 5 * 5), - 0x20000000000000 / (constant_55555 * constant_55555 * constant_55555 * - constant_55555 * 5 * 5 * 5 * 5)}; -}; - -template <typename U> -constexpr double binary_format_lookup_tables<double, U>::powers_of_ten[]; - -template <typename U> -constexpr uint64_t binary_format_lookup_tables<double, U>::max_mantissa[]; - -template <typename U> struct binary_format_lookup_tables<float, U> { - static constexpr float powers_of_ten[] = {1e0f, 1e1f, 1e2f, 1e3f, 1e4f, 1e5f, - 1e6f, 1e7f, 1e8f, 1e9f, 1e10f}; - - // Largest integer value v so that (5**index * v) <= 1<<24. - // 0x1000000 == 1<<24 - static constexpr uint64_t max_mantissa[] = { - 0x1000000, - 0x1000000 / 5, - 0x1000000 / (5 * 5), - 0x1000000 / (5 * 5 * 5), - 0x1000000 / (5 * 5 * 5 * 5), - 0x1000000 / (constant_55555), - 0x1000000 / (constant_55555 * 5), - 0x1000000 / (constant_55555 * 5 * 5), - 0x1000000 / (constant_55555 * 5 * 5 * 5), - 0x1000000 / (constant_55555 * 5 * 5 * 5 * 5), - 0x1000000 / (constant_55555 * constant_55555), - 0x1000000 / (constant_55555 * constant_55555 * 5)}; -}; - -template <typename U> -constexpr float binary_format_lookup_tables<float, U>::powers_of_ten[]; - -template <typename U> -constexpr uint64_t binary_format_lookup_tables<float, U>::max_mantissa[]; - -template <> -inline constexpr int binary_format<double>::min_exponent_fast_path() { -#if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0) - return 0; -#else - return -22; -#endif -} - -template <> -inline constexpr int binary_format<float>::min_exponent_fast_path() { -#if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0) - return 0; -#else - return -10; -#endif -} - -template <> -inline constexpr int binary_format<double>::mantissa_explicit_bits() { - return 52; -} -template <> -inline constexpr int binary_format<float>::mantissa_explicit_bits() { - return 23; -} - -template <> -inline constexpr int binary_format<double>::max_exponent_round_to_even() { - return 23; -} - -template <> -inline constexpr int binary_format<float>::max_exponent_round_to_even() { - return 10; -} - -template <> -inline constexpr int binary_format<double>::min_exponent_round_to_even() { - return -4; -} - -template <> -inline constexpr int binary_format<float>::min_exponent_round_to_even() { - return -17; -} - -template <> inline constexpr int binary_format<double>::minimum_exponent() { - return -1023; -} -template <> inline constexpr int binary_format<float>::minimum_exponent() { - return -127; -} - -template <> inline constexpr int binary_format<double>::infinite_power() { - return 0x7FF; -} -template <> inline constexpr int binary_format<float>::infinite_power() { - return 0xFF; -} - -template <> inline constexpr int binary_format<double>::sign_index() { - return 63; -} -template <> inline constexpr int binary_format<float>::sign_index() { - return 31; -} - -template <> -inline constexpr int binary_format<double>::max_exponent_fast_path() { - return 22; -} -template <> -inline constexpr int binary_format<float>::max_exponent_fast_path() { - return 10; -} - -template <> -inline constexpr uint64_t binary_format<double>::max_mantissa_fast_path() { - return uint64_t(2) << mantissa_explicit_bits(); -} -template <> -inline constexpr uint64_t -binary_format<double>::max_mantissa_fast_path(int64_t power) { - // caller is responsible to ensure that - // power >= 0 && power <= 22 - // - // Work around clang bug https://godbolt.org/z/zedh7rrhc - return (void)max_mantissa[0], max_mantissa[power]; -} -template <> -inline constexpr uint64_t binary_format<float>::max_mantissa_fast_path() { - return uint64_t(2) << mantissa_explicit_bits(); -} -template <> -inline constexpr uint64_t -binary_format<float>::max_mantissa_fast_path(int64_t power) { - // caller is responsible to ensure that - // power >= 0 && power <= 10 - // - // Work around clang bug https://godbolt.org/z/zedh7rrhc - return (void)max_mantissa[0], max_mantissa[power]; -} - -template <> -inline constexpr double -binary_format<double>::exact_power_of_ten(int64_t power) { - // Work around clang bug https://godbolt.org/z/zedh7rrhc - return (void)powers_of_ten[0], powers_of_ten[power]; -} -template <> -inline constexpr float binary_format<float>::exact_power_of_ten(int64_t power) { - // Work around clang bug https://godbolt.org/z/zedh7rrhc - return (void)powers_of_ten[0], powers_of_ten[power]; -} - -template <> inline constexpr int binary_format<double>::largest_power_of_ten() { - return 308; -} -template <> inline constexpr int binary_format<float>::largest_power_of_ten() { - return 38; -} - -template <> -inline constexpr int binary_format<double>::smallest_power_of_ten() { - return -342; -} -template <> inline constexpr int binary_format<float>::smallest_power_of_ten() { - return -64; -} - -template <> inline constexpr size_t binary_format<double>::max_digits() { - return 769; -} -template <> inline constexpr size_t binary_format<float>::max_digits() { - return 114; -} - -template <> -inline constexpr binary_format<float>::equiv_uint -binary_format<float>::exponent_mask() { - return 0x7F800000; -} -template <> -inline constexpr binary_format<double>::equiv_uint -binary_format<double>::exponent_mask() { - return 0x7FF0000000000000; -} - -template <> -inline constexpr binary_format<float>::equiv_uint -binary_format<float>::mantissa_mask() { - return 0x007FFFFF; -} -template <> -inline constexpr binary_format<double>::equiv_uint -binary_format<double>::mantissa_mask() { - return 0x000FFFFFFFFFFFFF; -} - -template <> -inline constexpr binary_format<float>::equiv_uint -binary_format<float>::hidden_bit_mask() { - return 0x00800000; -} -template <> -inline constexpr binary_format<double>::equiv_uint -binary_format<double>::hidden_bit_mask() { - return 0x0010000000000000; -} - -template <typename T> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void -to_float(bool negative, adjusted_mantissa am, T &value) { - using fastfloat_uint = typename binary_format<T>::equiv_uint; - fastfloat_uint word = (fastfloat_uint)am.mantissa; - word |= fastfloat_uint(am.power2) - << binary_format<T>::mantissa_explicit_bits(); - word |= fastfloat_uint(negative) << binary_format<T>::sign_index(); -#if FASTFLOAT_HAS_BIT_CAST - value = std::bit_cast<T>(word); -#else - ::memcpy(&value, &word, sizeof(T)); -#endif -} - -#ifdef FASTFLOAT_SKIP_WHITE_SPACE // disabled by default -template <typename = void> struct space_lut { - static constexpr bool value[] = { - 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, - 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}; -}; - -template <typename T> constexpr bool space_lut<T>::value[]; - -inline constexpr bool is_space(uint8_t c) { return space_lut<>::value[c]; } -#endif - -template <typename UC> static constexpr uint64_t int_cmp_zeros() { - static_assert((sizeof(UC) == 1) || (sizeof(UC) == 2) || (sizeof(UC) == 4), - "Unsupported character size"); - return (sizeof(UC) == 1) ? 0x3030303030303030 - : (sizeof(UC) == 2) - ? (uint64_t(UC('0')) << 48 | uint64_t(UC('0')) << 32 | - uint64_t(UC('0')) << 16 | UC('0')) - : (uint64_t(UC('0')) << 32 | UC('0')); -} -template <typename UC> static constexpr int int_cmp_len() { - return sizeof(uint64_t) / sizeof(UC); -} -template <typename UC> static constexpr UC const *str_const_nan() { - return nullptr; -} -template <> constexpr char const *str_const_nan<char>() { return "nan"; } -template <> constexpr wchar_t const *str_const_nan<wchar_t>() { return L"nan"; } -template <> constexpr char16_t const *str_const_nan<char16_t>() { - return u"nan"; -} -template <> constexpr char32_t const *str_const_nan<char32_t>() { - return U"nan"; -} -template <typename UC> static constexpr UC const *str_const_inf() { - return nullptr; -} -template <> constexpr char const *str_const_inf<char>() { return "infinity"; } -template <> constexpr wchar_t const *str_const_inf<wchar_t>() { - return L"infinity"; -} -template <> constexpr char16_t const *str_const_inf<char16_t>() { - return u"infinity"; -} -template <> constexpr char32_t const *str_const_inf<char32_t>() { - return U"infinity"; -} - -template <typename = void> struct int_luts { - static constexpr uint8_t chdigit[] = { - 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - 255, 255, 255, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 255, 255, - 255, 255, 255, 255, 255, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, - 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, - 35, 255, 255, 255, 255, 255, 255, 10, 11, 12, 13, 14, 15, 16, 17, - 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, - 33, 34, 35, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, 255, - 255}; - - static constexpr size_t maxdigits_u64[] = { - 64, 41, 32, 28, 25, 23, 22, 21, 20, 19, 18, 18, 17, 17, 16, 16, 16, 16, - 15, 15, 15, 15, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13}; - - static constexpr uint64_t min_safe_u64[] = { - 9223372036854775808ull, 12157665459056928801ull, 4611686018427387904, - 7450580596923828125, 4738381338321616896, 3909821048582988049, - 9223372036854775808ull, 12157665459056928801ull, 10000000000000000000ull, - 5559917313492231481, 2218611106740436992, 8650415919381337933, - 2177953337809371136, 6568408355712890625, 1152921504606846976, - 2862423051509815793, 6746640616477458432, 15181127029874798299ull, - 1638400000000000000, 3243919932521508681, 6221821273427820544, - 11592836324538749809ull, 876488338465357824, 1490116119384765625, - 2481152873203736576, 4052555153018976267, 6502111422497947648, - 10260628712958602189ull, 15943230000000000000ull, 787662783788549761, - 1152921504606846976, 1667889514952984961, 2386420683693101056, - 3379220508056640625, 4738381338321616896}; -}; - -template <typename T> constexpr uint8_t int_luts<T>::chdigit[]; - -template <typename T> constexpr size_t int_luts<T>::maxdigits_u64[]; - -template <typename T> constexpr uint64_t int_luts<T>::min_safe_u64[]; - -template <typename UC> -fastfloat_really_inline constexpr uint8_t ch_to_digit(UC c) { - return int_luts<>::chdigit[static_cast<unsigned char>(c)]; -} - -fastfloat_really_inline constexpr size_t max_digits_u64(int base) { - return int_luts<>::maxdigits_u64[base - 2]; -} - -// If a u64 is exactly max_digits_u64() in length, this is -// the value below which it has definitely overflowed. -fastfloat_really_inline constexpr uint64_t min_safe_u64(int base) { - return int_luts<>::min_safe_u64[base - 2]; -} - -} // namespace fast_float - -#endif - - -#ifndef FASTFLOAT_FAST_FLOAT_H -#define FASTFLOAT_FAST_FLOAT_H - - -namespace fast_float { -/** - * This function parses the character sequence [first,last) for a number. It - * parses floating-point numbers expecting a locale-indepent format equivalent - * to what is used by std::strtod in the default ("C") locale. The resulting - * floating-point value is the closest floating-point values (using either float - * or double), using the "round to even" convention for values that would - * otherwise fall right in-between two values. That is, we provide exact parsing - * according to the IEEE standard. - * - * Given a successful parse, the pointer (`ptr`) in the returned value is set to - * point right after the parsed number, and the `value` referenced is set to the - * parsed value. In case of error, the returned `ec` contains a representative - * error, otherwise the default (`std::errc()`) value is stored. - * - * The implementation does not throw and does not allocate memory (e.g., with - * `new` or `malloc`). - * - * Like the C++17 standard, the `fast_float::from_chars` functions take an - * optional last argument of the type `fast_float::chars_format`. It is a bitset - * value: we check whether `fmt & fast_float::chars_format::fixed` and `fmt & - * fast_float::chars_format::scientific` are set to determine whether we allow - * the fixed point and scientific notation respectively. The default is - * `fast_float::chars_format::general` which allows both `fixed` and - * `scientific`. - */ -template <typename T, typename UC = char, - typename = FASTFLOAT_ENABLE_IF(is_supported_float_type<T>())> -FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> -from_chars(UC const *first, UC const *last, T &value, - chars_format fmt = chars_format::general) noexcept; - -/** - * Like from_chars, but accepts an `options` argument to govern number parsing. - */ -template <typename T, typename UC = char> -FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> -from_chars_advanced(UC const *first, UC const *last, T &value, - parse_options_t<UC> options) noexcept; -/** - * from_chars for integer types. - */ -template <typename T, typename UC = char, - typename = FASTFLOAT_ENABLE_IF(!is_supported_float_type<T>())> -FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> -from_chars(UC const *first, UC const *last, T &value, int base = 10) noexcept; - -} // namespace fast_float -#endif // FASTFLOAT_FAST_FLOAT_H - -#ifndef FASTFLOAT_ASCII_NUMBER_H -#define FASTFLOAT_ASCII_NUMBER_H - -#include <cctype> -#include <cstdint> -#include <cstring> -#include <iterator> -#include <limits> -#include <type_traits> - - -#ifdef FASTFLOAT_SSE2 -#include <emmintrin.h> -#endif - -#ifdef FASTFLOAT_NEON -#include <arm_neon.h> -#endif - -namespace fast_float { - -template <typename UC> fastfloat_really_inline constexpr bool has_simd_opt() { -#ifdef FASTFLOAT_HAS_SIMD - return std::is_same<UC, char16_t>::value; -#else - return false; -#endif -} - -// Next function can be micro-optimized, but compilers are entirely -// able to optimize it well. -template <typename UC> -fastfloat_really_inline constexpr bool is_integer(UC c) noexcept { - return !(c > UC('9') || c < UC('0')); -} - -fastfloat_really_inline constexpr uint64_t byteswap(uint64_t val) { - return (val & 0xFF00000000000000) >> 56 | (val & 0x00FF000000000000) >> 40 | - (val & 0x0000FF0000000000) >> 24 | (val & 0x000000FF00000000) >> 8 | - (val & 0x00000000FF000000) << 8 | (val & 0x0000000000FF0000) << 24 | - (val & 0x000000000000FF00) << 40 | (val & 0x00000000000000FF) << 56; -} - -// Read 8 UC into a u64. Truncates UC if not char. -template <typename UC> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t -read8_to_u64(const UC *chars) { - if (cpp20_and_in_constexpr() || !std::is_same<UC, char>::value) { - uint64_t val = 0; - for (int i = 0; i < 8; ++i) { - val |= uint64_t(uint8_t(*chars)) << (i * 8); - ++chars; - } - return val; - } - uint64_t val; - ::memcpy(&val, chars, sizeof(uint64_t)); -#if FASTFLOAT_IS_BIG_ENDIAN == 1 - // Need to read as-if the number was in little-endian order. - val = byteswap(val); -#endif - return val; -} - -#ifdef FASTFLOAT_SSE2 - -fastfloat_really_inline uint64_t simd_read8_to_u64(const __m128i data) { - FASTFLOAT_SIMD_DISABLE_WARNINGS - const __m128i packed = _mm_packus_epi16(data, data); -#ifdef FASTFLOAT_64BIT - return uint64_t(_mm_cvtsi128_si64(packed)); -#else - uint64_t value; - // Visual Studio + older versions of GCC don't support _mm_storeu_si64 - _mm_storel_epi64(reinterpret_cast<__m128i *>(&value), packed); - return value; -#endif - FASTFLOAT_SIMD_RESTORE_WARNINGS -} - -fastfloat_really_inline uint64_t simd_read8_to_u64(const char16_t *chars) { - FASTFLOAT_SIMD_DISABLE_WARNINGS - return simd_read8_to_u64( - _mm_loadu_si128(reinterpret_cast<const __m128i *>(chars))); - FASTFLOAT_SIMD_RESTORE_WARNINGS -} - -#elif defined(FASTFLOAT_NEON) - -fastfloat_really_inline uint64_t simd_read8_to_u64(const uint16x8_t data) { - FASTFLOAT_SIMD_DISABLE_WARNINGS - uint8x8_t utf8_packed = vmovn_u16(data); - return vget_lane_u64(vreinterpret_u64_u8(utf8_packed), 0); - FASTFLOAT_SIMD_RESTORE_WARNINGS -} - -fastfloat_really_inline uint64_t simd_read8_to_u64(const char16_t *chars) { - FASTFLOAT_SIMD_DISABLE_WARNINGS - return simd_read8_to_u64( - vld1q_u16(reinterpret_cast<const uint16_t *>(chars))); - FASTFLOAT_SIMD_RESTORE_WARNINGS -} - -#endif // FASTFLOAT_SSE2 - -// MSVC SFINAE is broken pre-VS2017 -#if defined(_MSC_VER) && _MSC_VER <= 1900 -template <typename UC> -#else -template <typename UC, FASTFLOAT_ENABLE_IF(!has_simd_opt<UC>()) = 0> -#endif -// dummy for compile -uint64_t simd_read8_to_u64(UC const *) { - return 0; -} - -// credit @aqrit -fastfloat_really_inline FASTFLOAT_CONSTEXPR14 uint32_t -parse_eight_digits_unrolled(uint64_t val) { - const uint64_t mask = 0x000000FF000000FF; - const uint64_t mul1 = 0x000F424000000064; // 100 + (1000000ULL << 32) - const uint64_t mul2 = 0x0000271000000001; // 1 + (10000ULL << 32) - val -= 0x3030303030303030; - val = (val * 10) + (val >> 8); // val = (val * 2561) >> 8; - val = (((val & mask) * mul1) + (((val >> 16) & mask) * mul2)) >> 32; - return uint32_t(val); -} - -// Call this if chars are definitely 8 digits. -template <typename UC> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint32_t -parse_eight_digits_unrolled(UC const *chars) noexcept { - if (cpp20_and_in_constexpr() || !has_simd_opt<UC>()) { - return parse_eight_digits_unrolled(read8_to_u64(chars)); // truncation okay - } - return parse_eight_digits_unrolled(simd_read8_to_u64(chars)); -} - -// credit @aqrit -fastfloat_really_inline constexpr bool -is_made_of_eight_digits_fast(uint64_t val) noexcept { - return !((((val + 0x4646464646464646) | (val - 0x3030303030303030)) & - 0x8080808080808080)); -} - -#ifdef FASTFLOAT_HAS_SIMD - -// Call this if chars might not be 8 digits. -// Using this style (instead of is_made_of_eight_digits_fast() then -// parse_eight_digits_unrolled()) ensures we don't load SIMD registers twice. -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool -simd_parse_if_eight_digits_unrolled(const char16_t *chars, - uint64_t &i) noexcept { - if (cpp20_and_in_constexpr()) { - return false; - } -#ifdef FASTFLOAT_SSE2 - FASTFLOAT_SIMD_DISABLE_WARNINGS - const __m128i data = - _mm_loadu_si128(reinterpret_cast<const __m128i *>(chars)); - - // (x - '0') <= 9 - // http://0x80.pl/articles/simd-parsing-int-sequences.html - const __m128i t0 = _mm_add_epi16(data, _mm_set1_epi16(32720)); - const __m128i t1 = _mm_cmpgt_epi16(t0, _mm_set1_epi16(-32759)); - - if (_mm_movemask_epi8(t1) == 0) { - i = i * 100000000 + parse_eight_digits_unrolled(simd_read8_to_u64(data)); - return true; - } else - return false; - FASTFLOAT_SIMD_RESTORE_WARNINGS -#elif defined(FASTFLOAT_NEON) - FASTFLOAT_SIMD_DISABLE_WARNINGS - const uint16x8_t data = vld1q_u16(reinterpret_cast<const uint16_t *>(chars)); - - // (x - '0') <= 9 - // http://0x80.pl/articles/simd-parsing-int-sequences.html - const uint16x8_t t0 = vsubq_u16(data, vmovq_n_u16('0')); - const uint16x8_t mask = vcltq_u16(t0, vmovq_n_u16('9' - '0' + 1)); - - if (vminvq_u16(mask) == 0xFFFF) { - i = i * 100000000 + parse_eight_digits_unrolled(simd_read8_to_u64(data)); - return true; - } else - return false; - FASTFLOAT_SIMD_RESTORE_WARNINGS -#else - (void)chars; - (void)i; - return false; -#endif // FASTFLOAT_SSE2 -} - -#endif // FASTFLOAT_HAS_SIMD - -// MSVC SFINAE is broken pre-VS2017 -#if defined(_MSC_VER) && _MSC_VER <= 1900 -template <typename UC> -#else -template <typename UC, FASTFLOAT_ENABLE_IF(!has_simd_opt<UC>()) = 0> -#endif -// dummy for compile -bool simd_parse_if_eight_digits_unrolled(UC const *, uint64_t &) { - return 0; -} - -template <typename UC, FASTFLOAT_ENABLE_IF(!std::is_same<UC, char>::value) = 0> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void -loop_parse_if_eight_digits(const UC *&p, const UC *const pend, uint64_t &i) { - if (!has_simd_opt<UC>()) { - return; - } - while ((std::distance(p, pend) >= 8) && - simd_parse_if_eight_digits_unrolled( - p, i)) { // in rare cases, this will overflow, but that's ok - p += 8; - } -} - -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void -loop_parse_if_eight_digits(const char *&p, const char *const pend, - uint64_t &i) { - // optimizes better than parse_if_eight_digits_unrolled() for UC = char. - while ((std::distance(p, pend) >= 8) && - is_made_of_eight_digits_fast(read8_to_u64(p))) { - i = i * 100000000 + - parse_eight_digits_unrolled(read8_to_u64( - p)); // in rare cases, this will overflow, but that's ok - p += 8; - } -} - -enum class parse_error { - no_error, - // [JSON-only] The minus sign must be followed by an integer. - missing_integer_after_sign, - // A sign must be followed by an integer or dot. - missing_integer_or_dot_after_sign, - // [JSON-only] The integer part must not have leading zeros. - leading_zeros_in_integer_part, - // [JSON-only] The integer part must have at least one digit. - no_digits_in_integer_part, - // [JSON-only] If there is a decimal point, there must be digits in the - // fractional part. - no_digits_in_fractional_part, - // The mantissa must have at least one digit. - no_digits_in_mantissa, - // Scientific notation requires an exponential part. - missing_exponential_part, -}; - -template <typename UC> struct parsed_number_string_t { - int64_t exponent{0}; - uint64_t mantissa{0}; - UC const *lastmatch{nullptr}; - bool negative{false}; - bool valid{false}; - bool too_many_digits{false}; - // contains the range of the significant digits - span<const UC> integer{}; // non-nullable - span<const UC> fraction{}; // nullable - parse_error error{parse_error::no_error}; -}; - -using byte_span = span<const char>; -using parsed_number_string = parsed_number_string_t<char>; - -template <typename UC> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 parsed_number_string_t<UC> -report_parse_error(UC const *p, parse_error error) { - parsed_number_string_t<UC> answer; - answer.valid = false; - answer.lastmatch = p; - answer.error = error; - return answer; -} - -// Assuming that you use no more than 19 digits, this will -// parse an ASCII string. -template <typename UC> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 parsed_number_string_t<UC> -parse_number_string(UC const *p, UC const *pend, - parse_options_t<UC> options) noexcept { - chars_format const fmt = options.format; - UC const decimal_point = options.decimal_point; - - parsed_number_string_t<UC> answer; - answer.valid = false; - answer.too_many_digits = false; - answer.negative = (*p == UC('-')); -#ifdef FASTFLOAT_ALLOWS_LEADING_PLUS // disabled by default - if ((*p == UC('-')) || (!(fmt & FASTFLOAT_JSONFMT) && *p == UC('+'))) { -#else - if (*p == UC('-')) { // C++17 20.19.3.(7.1) explicitly forbids '+' sign here -#endif - ++p; - if (p == pend) { - return report_parse_error<UC>( - p, parse_error::missing_integer_or_dot_after_sign); - } - if (fmt & FASTFLOAT_JSONFMT) { - if (!is_integer(*p)) { // a sign must be followed by an integer - return report_parse_error<UC>(p, - parse_error::missing_integer_after_sign); - } - } else { - if (!is_integer(*p) && - (*p != - decimal_point)) { // a sign must be followed by an integer or the dot - return report_parse_error<UC>( - p, parse_error::missing_integer_or_dot_after_sign); - } - } - } - UC const *const start_digits = p; - - uint64_t i = 0; // an unsigned int avoids signed overflows (which are bad) - - while ((p != pend) && is_integer(*p)) { - // a multiplication by 10 is cheaper than an arbitrary integer - // multiplication - i = 10 * i + - uint64_t(*p - - UC('0')); // might overflow, we will handle the overflow later - ++p; - } - UC const *const end_of_integer_part = p; - int64_t digit_count = int64_t(end_of_integer_part - start_digits); - answer.integer = span<const UC>(start_digits, size_t(digit_count)); - if (fmt & FASTFLOAT_JSONFMT) { - // at least 1 digit in integer part, without leading zeros - if (digit_count == 0) { - return report_parse_error<UC>(p, parse_error::no_digits_in_integer_part); - } - if ((start_digits[0] == UC('0') && digit_count > 1)) { - return report_parse_error<UC>(start_digits, - parse_error::leading_zeros_in_integer_part); - } - } - - int64_t exponent = 0; - const bool has_decimal_point = (p != pend) && (*p == decimal_point); - if (has_decimal_point) { - ++p; - UC const *before = p; - // can occur at most twice without overflowing, but let it occur more, since - // for integers with many digits, digit parsing is the primary bottleneck. - loop_parse_if_eight_digits(p, pend, i); - - while ((p != pend) && is_integer(*p)) { - uint8_t digit = uint8_t(*p - UC('0')); - ++p; - i = i * 10 + digit; // in rare cases, this will overflow, but that's ok - } - exponent = before - p; - answer.fraction = span<const UC>(before, size_t(p - before)); - digit_count -= exponent; - } - if (fmt & FASTFLOAT_JSONFMT) { - // at least 1 digit in fractional part - if (has_decimal_point && exponent == 0) { - return report_parse_error<UC>(p, - parse_error::no_digits_in_fractional_part); - } - } else if (digit_count == - 0) { // we must have encountered at least one integer! - return report_parse_error<UC>(p, parse_error::no_digits_in_mantissa); - } - int64_t exp_number = 0; // explicit exponential part - if (((fmt & chars_format::scientific) && (p != pend) && - ((UC('e') == *p) || (UC('E') == *p))) || - ((fmt & FASTFLOAT_FORTRANFMT) && (p != pend) && - ((UC('+') == *p) || (UC('-') == *p) || (UC('d') == *p) || - (UC('D') == *p)))) { - UC const *location_of_e = p; - if ((UC('e') == *p) || (UC('E') == *p) || (UC('d') == *p) || - (UC('D') == *p)) { - ++p; - } - bool neg_exp = false; - if ((p != pend) && (UC('-') == *p)) { - neg_exp = true; - ++p; - } else if ((p != pend) && - (UC('+') == - *p)) { // '+' on exponent is allowed by C++17 20.19.3.(7.1) - ++p; - } - if ((p == pend) || !is_integer(*p)) { - if (!(fmt & chars_format::fixed)) { - // The exponential part is invalid for scientific notation, so it must - // be a trailing token for fixed notation. However, fixed notation is - // disabled, so report a scientific notation error. - return report_parse_error<UC>(p, parse_error::missing_exponential_part); - } - // Otherwise, we will be ignoring the 'e'. - p = location_of_e; - } else { - while ((p != pend) && is_integer(*p)) { - uint8_t digit = uint8_t(*p - UC('0')); - if (exp_number < 0x10000000) { - exp_number = 10 * exp_number + digit; - } - ++p; - } - if (neg_exp) { - exp_number = -exp_number; - } - exponent += exp_number; - } - } else { - // If it scientific and not fixed, we have to bail out. - if ((fmt & chars_format::scientific) && !(fmt & chars_format::fixed)) { - return report_parse_error<UC>(p, parse_error::missing_exponential_part); - } - } - answer.lastmatch = p; - answer.valid = true; - - // If we frequently had to deal with long strings of digits, - // we could extend our code by using a 128-bit integer instead - // of a 64-bit integer. However, this is uncommon. - // - // We can deal with up to 19 digits. - if (digit_count > 19) { // this is uncommon - // It is possible that the integer had an overflow. - // We have to handle the case where we have 0.0000somenumber. - // We need to be mindful of the case where we only have zeroes... - // E.g., 0.000000000...000. - UC const *start = start_digits; - while ((start != pend) && (*start == UC('0') || *start == decimal_point)) { - if (*start == UC('0')) { - digit_count--; - } - start++; - } - - if (digit_count > 19) { - answer.too_many_digits = true; - // Let us start again, this time, avoiding overflows. - // We don't need to check if is_integer, since we use the - // pre-tokenized spans from above. - i = 0; - p = answer.integer.ptr; - UC const *int_end = p + answer.integer.len(); - const uint64_t minimal_nineteen_digit_integer{1000000000000000000}; - while ((i < minimal_nineteen_digit_integer) && (p != int_end)) { - i = i * 10 + uint64_t(*p - UC('0')); - ++p; - } - if (i >= minimal_nineteen_digit_integer) { // We have a big integers - exponent = end_of_integer_part - p + exp_number; - } else { // We have a value with a fractional component. - p = answer.fraction.ptr; - UC const *frac_end = p + answer.fraction.len(); - while ((i < minimal_nineteen_digit_integer) && (p != frac_end)) { - i = i * 10 + uint64_t(*p - UC('0')); - ++p; - } - exponent = answer.fraction.ptr - p + exp_number; - } - // We have now corrected both exponent and i, to a truncated value - } - } - answer.exponent = exponent; - answer.mantissa = i; - return answer; -} - -template <typename T, typename UC> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> -parse_int_string(UC const *p, UC const *pend, T &value, int base) { - from_chars_result_t<UC> answer; - - UC const *const first = p; - - bool negative = (*p == UC('-')); - if (!std::is_signed<T>::value && negative) { - answer.ec = std::errc::invalid_argument; - answer.ptr = first; - return answer; - } -#ifdef FASTFLOAT_ALLOWS_LEADING_PLUS // disabled by default - if ((*p == UC('-')) || (*p == UC('+'))) { -#else - if (*p == UC('-')) { -#endif - ++p; - } - - UC const *const start_num = p; - - while (p != pend && *p == UC('0')) { - ++p; - } - - const bool has_leading_zeros = p > start_num; - - UC const *const start_digits = p; - - uint64_t i = 0; - if (base == 10) { - loop_parse_if_eight_digits(p, pend, i); // use SIMD if possible - } - while (p != pend) { - uint8_t digit = ch_to_digit(*p); - if (digit >= base) { - break; - } - i = uint64_t(base) * i + digit; // might overflow, check this later - p++; - } - - size_t digit_count = size_t(p - start_digits); - - if (digit_count == 0) { - if (has_leading_zeros) { - value = 0; - answer.ec = std::errc(); - answer.ptr = p; - } else { - answer.ec = std::errc::invalid_argument; - answer.ptr = first; - } - return answer; - } - - answer.ptr = p; - - // check u64 overflow - size_t max_digits = max_digits_u64(base); - if (digit_count > max_digits) { - answer.ec = std::errc::result_out_of_range; - return answer; - } - // this check can be eliminated for all other types, but they will all require - // a max_digits(base) equivalent - if (digit_count == max_digits && i < min_safe_u64(base)) { - answer.ec = std::errc::result_out_of_range; - return answer; - } - - // check other types overflow - if (!std::is_same<T, uint64_t>::value) { - if (i > uint64_t(std::numeric_limits<T>::max()) + uint64_t(negative)) { - answer.ec = std::errc::result_out_of_range; - return answer; - } - } - - if (negative) { -#ifdef FASTFLOAT_VISUAL_STUDIO -#pragma warning(push) -#pragma warning(disable : 4146) -#endif - // this weird workaround is required because: - // - converting unsigned to signed when its value is greater than signed max - // is UB pre-C++23. - // - reinterpret_casting (~i + 1) would work, but it is not constexpr - // this is always optimized into a neg instruction (note: T is an integer - // type) - value = T(-std::numeric_limits<T>::max() - - T(i - uint64_t(std::numeric_limits<T>::max()))); -#ifdef FASTFLOAT_VISUAL_STUDIO -#pragma warning(pop) -#endif - } else { - value = T(i); - } - - answer.ec = std::errc(); - return answer; -} - -} // namespace fast_float - -#endif - -#ifndef FASTFLOAT_FAST_TABLE_H -#define FASTFLOAT_FAST_TABLE_H - -#include <cstdint> - -namespace fast_float { - -/** - * When mapping numbers from decimal to binary, - * we go from w * 10^q to m * 2^p but we have - * 10^q = 5^q * 2^q, so effectively - * we are trying to match - * w * 2^q * 5^q to m * 2^p. Thus the powers of two - * are not a concern since they can be represented - * exactly using the binary notation, only the powers of five - * affect the binary significand. - */ - -/** - * The smallest non-zero float (binary64) is 2^-1074. - * We take as input numbers of the form w x 10^q where w < 2^64. - * We have that w * 10^-343 < 2^(64-344) 5^-343 < 2^-1076. - * However, we have that - * (2^64-1) * 10^-342 = (2^64-1) * 2^-342 * 5^-342 > 2^-1074. - * Thus it is possible for a number of the form w * 10^-342 where - * w is a 64-bit value to be a non-zero floating-point number. - ********* - * Any number of form w * 10^309 where w>= 1 is going to be - * infinite in binary64 so we never need to worry about powers - * of 5 greater than 308. - */ -template <class unused = void> struct powers_template { - - constexpr static int smallest_power_of_five = - binary_format<double>::smallest_power_of_ten(); - constexpr static int largest_power_of_five = - binary_format<double>::largest_power_of_ten(); - constexpr static int number_of_entries = - 2 * (largest_power_of_five - smallest_power_of_five + 1); - // Powers of five from 5^-342 all the way to 5^308 rounded toward one. - constexpr static uint64_t power_of_five_128[number_of_entries] = { - 0xeef453d6923bd65a, 0x113faa2906a13b3f, - 0x9558b4661b6565f8, 0x4ac7ca59a424c507, - 0xbaaee17fa23ebf76, 0x5d79bcf00d2df649, - 0xe95a99df8ace6f53, 0xf4d82c2c107973dc, - 0x91d8a02bb6c10594, 0x79071b9b8a4be869, - 0xb64ec836a47146f9, 0x9748e2826cdee284, - 0xe3e27a444d8d98b7, 0xfd1b1b2308169b25, - 0x8e6d8c6ab0787f72, 0xfe30f0f5e50e20f7, - 0xb208ef855c969f4f, 0xbdbd2d335e51a935, - 0xde8b2b66b3bc4723, 0xad2c788035e61382, - 0x8b16fb203055ac76, 0x4c3bcb5021afcc31, - 0xaddcb9e83c6b1793, 0xdf4abe242a1bbf3d, - 0xd953e8624b85dd78, 0xd71d6dad34a2af0d, - 0x87d4713d6f33aa6b, 0x8672648c40e5ad68, - 0xa9c98d8ccb009506, 0x680efdaf511f18c2, - 0xd43bf0effdc0ba48, 0x212bd1b2566def2, - 0x84a57695fe98746d, 0x14bb630f7604b57, - 0xa5ced43b7e3e9188, 0x419ea3bd35385e2d, - 0xcf42894a5dce35ea, 0x52064cac828675b9, - 0x818995ce7aa0e1b2, 0x7343efebd1940993, - 0xa1ebfb4219491a1f, 0x1014ebe6c5f90bf8, - 0xca66fa129f9b60a6, 0xd41a26e077774ef6, - 0xfd00b897478238d0, 0x8920b098955522b4, - 0x9e20735e8cb16382, 0x55b46e5f5d5535b0, - 0xc5a890362fddbc62, 0xeb2189f734aa831d, - 0xf712b443bbd52b7b, 0xa5e9ec7501d523e4, - 0x9a6bb0aa55653b2d, 0x47b233c92125366e, - 0xc1069cd4eabe89f8, 0x999ec0bb696e840a, - 0xf148440a256e2c76, 0xc00670ea43ca250d, - 0x96cd2a865764dbca, 0x380406926a5e5728, - 0xbc807527ed3e12bc, 0xc605083704f5ecf2, - 0xeba09271e88d976b, 0xf7864a44c633682e, - 0x93445b8731587ea3, 0x7ab3ee6afbe0211d, - 0xb8157268fdae9e4c, 0x5960ea05bad82964, - 0xe61acf033d1a45df, 0x6fb92487298e33bd, - 0x8fd0c16206306bab, 0xa5d3b6d479f8e056, - 0xb3c4f1ba87bc8696, 0x8f48a4899877186c, - 0xe0b62e2929aba83c, 0x331acdabfe94de87, - 0x8c71dcd9ba0b4925, 0x9ff0c08b7f1d0b14, - 0xaf8e5410288e1b6f, 0x7ecf0ae5ee44dd9, - 0xdb71e91432b1a24a, 0xc9e82cd9f69d6150, - 0x892731ac9faf056e, 0xbe311c083a225cd2, - 0xab70fe17c79ac6ca, 0x6dbd630a48aaf406, - 0xd64d3d9db981787d, 0x92cbbccdad5b108, - 0x85f0468293f0eb4e, 0x25bbf56008c58ea5, - 0xa76c582338ed2621, 0xaf2af2b80af6f24e, - 0xd1476e2c07286faa, 0x1af5af660db4aee1, - 0x82cca4db847945ca, 0x50d98d9fc890ed4d, - 0xa37fce126597973c, 0xe50ff107bab528a0, - 0xcc5fc196fefd7d0c, 0x1e53ed49a96272c8, - 0xff77b1fcbebcdc4f, 0x25e8e89c13bb0f7a, - 0x9faacf3df73609b1, 0x77b191618c54e9ac, - 0xc795830d75038c1d, 0xd59df5b9ef6a2417, - 0xf97ae3d0d2446f25, 0x4b0573286b44ad1d, - 0x9becce62836ac577, 0x4ee367f9430aec32, - 0xc2e801fb244576d5, 0x229c41f793cda73f, - 0xf3a20279ed56d48a, 0x6b43527578c1110f, - 0x9845418c345644d6, 0x830a13896b78aaa9, - 0xbe5691ef416bd60c, 0x23cc986bc656d553, - 0xedec366b11c6cb8f, 0x2cbfbe86b7ec8aa8, - 0x94b3a202eb1c3f39, 0x7bf7d71432f3d6a9, - 0xb9e08a83a5e34f07, 0xdaf5ccd93fb0cc53, - 0xe858ad248f5c22c9, 0xd1b3400f8f9cff68, - 0x91376c36d99995be, 0x23100809b9c21fa1, - 0xb58547448ffffb2d, 0xabd40a0c2832a78a, - 0xe2e69915b3fff9f9, 0x16c90c8f323f516c, - 0x8dd01fad907ffc3b, 0xae3da7d97f6792e3, - 0xb1442798f49ffb4a, 0x99cd11cfdf41779c, - 0xdd95317f31c7fa1d, 0x40405643d711d583, - 0x8a7d3eef7f1cfc52, 0x482835ea666b2572, - 0xad1c8eab5ee43b66, 0xda3243650005eecf, - 0xd863b256369d4a40, 0x90bed43e40076a82, - 0x873e4f75e2224e68, 0x5a7744a6e804a291, - 0xa90de3535aaae202, 0x711515d0a205cb36, - 0xd3515c2831559a83, 0xd5a5b44ca873e03, - 0x8412d9991ed58091, 0xe858790afe9486c2, - 0xa5178fff668ae0b6, 0x626e974dbe39a872, - 0xce5d73ff402d98e3, 0xfb0a3d212dc8128f, - 0x80fa687f881c7f8e, 0x7ce66634bc9d0b99, - 0xa139029f6a239f72, 0x1c1fffc1ebc44e80, - 0xc987434744ac874e, 0xa327ffb266b56220, - 0xfbe9141915d7a922, 0x4bf1ff9f0062baa8, - 0x9d71ac8fada6c9b5, 0x6f773fc3603db4a9, - 0xc4ce17b399107c22, 0xcb550fb4384d21d3, - 0xf6019da07f549b2b, 0x7e2a53a146606a48, - 0x99c102844f94e0fb, 0x2eda7444cbfc426d, - 0xc0314325637a1939, 0xfa911155fefb5308, - 0xf03d93eebc589f88, 0x793555ab7eba27ca, - 0x96267c7535b763b5, 0x4bc1558b2f3458de, - 0xbbb01b9283253ca2, 0x9eb1aaedfb016f16, - 0xea9c227723ee8bcb, 0x465e15a979c1cadc, - 0x92a1958a7675175f, 0xbfacd89ec191ec9, - 0xb749faed14125d36, 0xcef980ec671f667b, - 0xe51c79a85916f484, 0x82b7e12780e7401a, - 0x8f31cc0937ae58d2, 0xd1b2ecb8b0908810, - 0xb2fe3f0b8599ef07, 0x861fa7e6dcb4aa15, - 0xdfbdcece67006ac9, 0x67a791e093e1d49a, - 0x8bd6a141006042bd, 0xe0c8bb2c5c6d24e0, - 0xaecc49914078536d, 0x58fae9f773886e18, - 0xda7f5bf590966848, 0xaf39a475506a899e, - 0x888f99797a5e012d, 0x6d8406c952429603, - 0xaab37fd7d8f58178, 0xc8e5087ba6d33b83, - 0xd5605fcdcf32e1d6, 0xfb1e4a9a90880a64, - 0x855c3be0a17fcd26, 0x5cf2eea09a55067f, - 0xa6b34ad8c9dfc06f, 0xf42faa48c0ea481e, - 0xd0601d8efc57b08b, 0xf13b94daf124da26, - 0x823c12795db6ce57, 0x76c53d08d6b70858, - 0xa2cb1717b52481ed, 0x54768c4b0c64ca6e, - 0xcb7ddcdda26da268, 0xa9942f5dcf7dfd09, - 0xfe5d54150b090b02, 0xd3f93b35435d7c4c, - 0x9efa548d26e5a6e1, 0xc47bc5014a1a6daf, - 0xc6b8e9b0709f109a, 0x359ab6419ca1091b, - 0xf867241c8cc6d4c0, 0xc30163d203c94b62, - 0x9b407691d7fc44f8, 0x79e0de63425dcf1d, - 0xc21094364dfb5636, 0x985915fc12f542e4, - 0xf294b943e17a2bc4, 0x3e6f5b7b17b2939d, - 0x979cf3ca6cec5b5a, 0xa705992ceecf9c42, - 0xbd8430bd08277231, 0x50c6ff782a838353, - 0xece53cec4a314ebd, 0xa4f8bf5635246428, - 0x940f4613ae5ed136, 0x871b7795e136be99, - 0xb913179899f68584, 0x28e2557b59846e3f, - 0xe757dd7ec07426e5, 0x331aeada2fe589cf, - 0x9096ea6f3848984f, 0x3ff0d2c85def7621, - 0xb4bca50b065abe63, 0xfed077a756b53a9, - 0xe1ebce4dc7f16dfb, 0xd3e8495912c62894, - 0x8d3360f09cf6e4bd, 0x64712dd7abbbd95c, - 0xb080392cc4349dec, 0xbd8d794d96aacfb3, - 0xdca04777f541c567, 0xecf0d7a0fc5583a0, - 0x89e42caaf9491b60, 0xf41686c49db57244, - 0xac5d37d5b79b6239, 0x311c2875c522ced5, - 0xd77485cb25823ac7, 0x7d633293366b828b, - 0x86a8d39ef77164bc, 0xae5dff9c02033197, - 0xa8530886b54dbdeb, 0xd9f57f830283fdfc, - 0xd267caa862a12d66, 0xd072df63c324fd7b, - 0x8380dea93da4bc60, 0x4247cb9e59f71e6d, - 0xa46116538d0deb78, 0x52d9be85f074e608, - 0xcd795be870516656, 0x67902e276c921f8b, - 0x806bd9714632dff6, 0xba1cd8a3db53b6, - 0xa086cfcd97bf97f3, 0x80e8a40eccd228a4, - 0xc8a883c0fdaf7df0, 0x6122cd128006b2cd, - 0xfad2a4b13d1b5d6c, 0x796b805720085f81, - 0x9cc3a6eec6311a63, 0xcbe3303674053bb0, - 0xc3f490aa77bd60fc, 0xbedbfc4411068a9c, - 0xf4f1b4d515acb93b, 0xee92fb5515482d44, - 0x991711052d8bf3c5, 0x751bdd152d4d1c4a, - 0xbf5cd54678eef0b6, 0xd262d45a78a0635d, - 0xef340a98172aace4, 0x86fb897116c87c34, - 0x9580869f0e7aac0e, 0xd45d35e6ae3d4da0, - 0xbae0a846d2195712, 0x8974836059cca109, - 0xe998d258869facd7, 0x2bd1a438703fc94b, - 0x91ff83775423cc06, 0x7b6306a34627ddcf, - 0xb67f6455292cbf08, 0x1a3bc84c17b1d542, - 0xe41f3d6a7377eeca, 0x20caba5f1d9e4a93, - 0x8e938662882af53e, 0x547eb47b7282ee9c, - 0xb23867fb2a35b28d, 0xe99e619a4f23aa43, - 0xdec681f9f4c31f31, 0x6405fa00e2ec94d4, - 0x8b3c113c38f9f37e, 0xde83bc408dd3dd04, - 0xae0b158b4738705e, 0x9624ab50b148d445, - 0xd98ddaee19068c76, 0x3badd624dd9b0957, - 0x87f8a8d4cfa417c9, 0xe54ca5d70a80e5d6, - 0xa9f6d30a038d1dbc, 0x5e9fcf4ccd211f4c, - 0xd47487cc8470652b, 0x7647c3200069671f, - 0x84c8d4dfd2c63f3b, 0x29ecd9f40041e073, - 0xa5fb0a17c777cf09, 0xf468107100525890, - 0xcf79cc9db955c2cc, 0x7182148d4066eeb4, - 0x81ac1fe293d599bf, 0xc6f14cd848405530, - 0xa21727db38cb002f, 0xb8ada00e5a506a7c, - 0xca9cf1d206fdc03b, 0xa6d90811f0e4851c, - 0xfd442e4688bd304a, 0x908f4a166d1da663, - 0x9e4a9cec15763e2e, 0x9a598e4e043287fe, - 0xc5dd44271ad3cdba, 0x40eff1e1853f29fd, - 0xf7549530e188c128, 0xd12bee59e68ef47c, - 0x9a94dd3e8cf578b9, 0x82bb74f8301958ce, - 0xc13a148e3032d6e7, 0xe36a52363c1faf01, - 0xf18899b1bc3f8ca1, 0xdc44e6c3cb279ac1, - 0x96f5600f15a7b7e5, 0x29ab103a5ef8c0b9, - 0xbcb2b812db11a5de, 0x7415d448f6b6f0e7, - 0xebdf661791d60f56, 0x111b495b3464ad21, - 0x936b9fcebb25c995, 0xcab10dd900beec34, - 0xb84687c269ef3bfb, 0x3d5d514f40eea742, - 0xe65829b3046b0afa, 0xcb4a5a3112a5112, - 0x8ff71a0fe2c2e6dc, 0x47f0e785eaba72ab, - 0xb3f4e093db73a093, 0x59ed216765690f56, - 0xe0f218b8d25088b8, 0x306869c13ec3532c, - 0x8c974f7383725573, 0x1e414218c73a13fb, - 0xafbd2350644eeacf, 0xe5d1929ef90898fa, - 0xdbac6c247d62a583, 0xdf45f746b74abf39, - 0x894bc396ce5da772, 0x6b8bba8c328eb783, - 0xab9eb47c81f5114f, 0x66ea92f3f326564, - 0xd686619ba27255a2, 0xc80a537b0efefebd, - 0x8613fd0145877585, 0xbd06742ce95f5f36, - 0xa798fc4196e952e7, 0x2c48113823b73704, - 0xd17f3b51fca3a7a0, 0xf75a15862ca504c5, - 0x82ef85133de648c4, 0x9a984d73dbe722fb, - 0xa3ab66580d5fdaf5, 0xc13e60d0d2e0ebba, - 0xcc963fee10b7d1b3, 0x318df905079926a8, - 0xffbbcfe994e5c61f, 0xfdf17746497f7052, - 0x9fd561f1fd0f9bd3, 0xfeb6ea8bedefa633, - 0xc7caba6e7c5382c8, 0xfe64a52ee96b8fc0, - 0xf9bd690a1b68637b, 0x3dfdce7aa3c673b0, - 0x9c1661a651213e2d, 0x6bea10ca65c084e, - 0xc31bfa0fe5698db8, 0x486e494fcff30a62, - 0xf3e2f893dec3f126, 0x5a89dba3c3efccfa, - 0x986ddb5c6b3a76b7, 0xf89629465a75e01c, - 0xbe89523386091465, 0xf6bbb397f1135823, - 0xee2ba6c0678b597f, 0x746aa07ded582e2c, - 0x94db483840b717ef, 0xa8c2a44eb4571cdc, - 0xba121a4650e4ddeb, 0x92f34d62616ce413, - 0xe896a0d7e51e1566, 0x77b020baf9c81d17, - 0x915e2486ef32cd60, 0xace1474dc1d122e, - 0xb5b5ada8aaff80b8, 0xd819992132456ba, - 0xe3231912d5bf60e6, 0x10e1fff697ed6c69, - 0x8df5efabc5979c8f, 0xca8d3ffa1ef463c1, - 0xb1736b96b6fd83b3, 0xbd308ff8a6b17cb2, - 0xddd0467c64bce4a0, 0xac7cb3f6d05ddbde, - 0x8aa22c0dbef60ee4, 0x6bcdf07a423aa96b, - 0xad4ab7112eb3929d, 0x86c16c98d2c953c6, - 0xd89d64d57a607744, 0xe871c7bf077ba8b7, - 0x87625f056c7c4a8b, 0x11471cd764ad4972, - 0xa93af6c6c79b5d2d, 0xd598e40d3dd89bcf, - 0xd389b47879823479, 0x4aff1d108d4ec2c3, - 0x843610cb4bf160cb, 0xcedf722a585139ba, - 0xa54394fe1eedb8fe, 0xc2974eb4ee658828, - 0xce947a3da6a9273e, 0x733d226229feea32, - 0x811ccc668829b887, 0x806357d5a3f525f, - 0xa163ff802a3426a8, 0xca07c2dcb0cf26f7, - 0xc9bcff6034c13052, 0xfc89b393dd02f0b5, - 0xfc2c3f3841f17c67, 0xbbac2078d443ace2, - 0x9d9ba7832936edc0, 0xd54b944b84aa4c0d, - 0xc5029163f384a931, 0xa9e795e65d4df11, - 0xf64335bcf065d37d, 0x4d4617b5ff4a16d5, - 0x99ea0196163fa42e, 0x504bced1bf8e4e45, - 0xc06481fb9bcf8d39, 0xe45ec2862f71e1d6, - 0xf07da27a82c37088, 0x5d767327bb4e5a4c, - 0x964e858c91ba2655, 0x3a6a07f8d510f86f, - 0xbbe226efb628afea, 0x890489f70a55368b, - 0xeadab0aba3b2dbe5, 0x2b45ac74ccea842e, - 0x92c8ae6b464fc96f, 0x3b0b8bc90012929d, - 0xb77ada0617e3bbcb, 0x9ce6ebb40173744, - 0xe55990879ddcaabd, 0xcc420a6a101d0515, - 0x8f57fa54c2a9eab6, 0x9fa946824a12232d, - 0xb32df8e9f3546564, 0x47939822dc96abf9, - 0xdff9772470297ebd, 0x59787e2b93bc56f7, - 0x8bfbea76c619ef36, 0x57eb4edb3c55b65a, - 0xaefae51477a06b03, 0xede622920b6b23f1, - 0xdab99e59958885c4, 0xe95fab368e45eced, - 0x88b402f7fd75539b, 0x11dbcb0218ebb414, - 0xaae103b5fcd2a881, 0xd652bdc29f26a119, - 0xd59944a37c0752a2, 0x4be76d3346f0495f, - 0x857fcae62d8493a5, 0x6f70a4400c562ddb, - 0xa6dfbd9fb8e5b88e, 0xcb4ccd500f6bb952, - 0xd097ad07a71f26b2, 0x7e2000a41346a7a7, - 0x825ecc24c873782f, 0x8ed400668c0c28c8, - 0xa2f67f2dfa90563b, 0x728900802f0f32fa, - 0xcbb41ef979346bca, 0x4f2b40a03ad2ffb9, - 0xfea126b7d78186bc, 0xe2f610c84987bfa8, - 0x9f24b832e6b0f436, 0xdd9ca7d2df4d7c9, - 0xc6ede63fa05d3143, 0x91503d1c79720dbb, - 0xf8a95fcf88747d94, 0x75a44c6397ce912a, - 0x9b69dbe1b548ce7c, 0xc986afbe3ee11aba, - 0xc24452da229b021b, 0xfbe85badce996168, - 0xf2d56790ab41c2a2, 0xfae27299423fb9c3, - 0x97c560ba6b0919a5, 0xdccd879fc967d41a, - 0xbdb6b8e905cb600f, 0x5400e987bbc1c920, - 0xed246723473e3813, 0x290123e9aab23b68, - 0x9436c0760c86e30b, 0xf9a0b6720aaf6521, - 0xb94470938fa89bce, 0xf808e40e8d5b3e69, - 0xe7958cb87392c2c2, 0xb60b1d1230b20e04, - 0x90bd77f3483bb9b9, 0xb1c6f22b5e6f48c2, - 0xb4ecd5f01a4aa828, 0x1e38aeb6360b1af3, - 0xe2280b6c20dd5232, 0x25c6da63c38de1b0, - 0x8d590723948a535f, 0x579c487e5a38ad0e, - 0xb0af48ec79ace837, 0x2d835a9df0c6d851, - 0xdcdb1b2798182244, 0xf8e431456cf88e65, - 0x8a08f0f8bf0f156b, 0x1b8e9ecb641b58ff, - 0xac8b2d36eed2dac5, 0xe272467e3d222f3f, - 0xd7adf884aa879177, 0x5b0ed81dcc6abb0f, - 0x86ccbb52ea94baea, 0x98e947129fc2b4e9, - 0xa87fea27a539e9a5, 0x3f2398d747b36224, - 0xd29fe4b18e88640e, 0x8eec7f0d19a03aad, - 0x83a3eeeef9153e89, 0x1953cf68300424ac, - 0xa48ceaaab75a8e2b, 0x5fa8c3423c052dd7, - 0xcdb02555653131b6, 0x3792f412cb06794d, - 0x808e17555f3ebf11, 0xe2bbd88bbee40bd0, - 0xa0b19d2ab70e6ed6, 0x5b6aceaeae9d0ec4, - 0xc8de047564d20a8b, 0xf245825a5a445275, - 0xfb158592be068d2e, 0xeed6e2f0f0d56712, - 0x9ced737bb6c4183d, 0x55464dd69685606b, - 0xc428d05aa4751e4c, 0xaa97e14c3c26b886, - 0xf53304714d9265df, 0xd53dd99f4b3066a8, - 0x993fe2c6d07b7fab, 0xe546a8038efe4029, - 0xbf8fdb78849a5f96, 0xde98520472bdd033, - 0xef73d256a5c0f77c, 0x963e66858f6d4440, - 0x95a8637627989aad, 0xdde7001379a44aa8, - 0xbb127c53b17ec159, 0x5560c018580d5d52, - 0xe9d71b689dde71af, 0xaab8f01e6e10b4a6, - 0x9226712162ab070d, 0xcab3961304ca70e8, - 0xb6b00d69bb55c8d1, 0x3d607b97c5fd0d22, - 0xe45c10c42a2b3b05, 0x8cb89a7db77c506a, - 0x8eb98a7a9a5b04e3, 0x77f3608e92adb242, - 0xb267ed1940f1c61c, 0x55f038b237591ed3, - 0xdf01e85f912e37a3, 0x6b6c46dec52f6688, - 0x8b61313bbabce2c6, 0x2323ac4b3b3da015, - 0xae397d8aa96c1b77, 0xabec975e0a0d081a, - 0xd9c7dced53c72255, 0x96e7bd358c904a21, - 0x881cea14545c7575, 0x7e50d64177da2e54, - 0xaa242499697392d2, 0xdde50bd1d5d0b9e9, - 0xd4ad2dbfc3d07787, 0x955e4ec64b44e864, - 0x84ec3c97da624ab4, 0xbd5af13bef0b113e, - 0xa6274bbdd0fadd61, 0xecb1ad8aeacdd58e, - 0xcfb11ead453994ba, 0x67de18eda5814af2, - 0x81ceb32c4b43fcf4, 0x80eacf948770ced7, - 0xa2425ff75e14fc31, 0xa1258379a94d028d, - 0xcad2f7f5359a3b3e, 0x96ee45813a04330, - 0xfd87b5f28300ca0d, 0x8bca9d6e188853fc, - 0x9e74d1b791e07e48, 0x775ea264cf55347e, - 0xc612062576589dda, 0x95364afe032a819e, - 0xf79687aed3eec551, 0x3a83ddbd83f52205, - 0x9abe14cd44753b52, 0xc4926a9672793543, - 0xc16d9a0095928a27, 0x75b7053c0f178294, - 0xf1c90080baf72cb1, 0x5324c68b12dd6339, - 0x971da05074da7bee, 0xd3f6fc16ebca5e04, - 0xbce5086492111aea, 0x88f4bb1ca6bcf585, - 0xec1e4a7db69561a5, 0x2b31e9e3d06c32e6, - 0x9392ee8e921d5d07, 0x3aff322e62439fd0, - 0xb877aa3236a4b449, 0x9befeb9fad487c3, - 0xe69594bec44de15b, 0x4c2ebe687989a9b4, - 0x901d7cf73ab0acd9, 0xf9d37014bf60a11, - 0xb424dc35095cd80f, 0x538484c19ef38c95, - 0xe12e13424bb40e13, 0x2865a5f206b06fba, - 0x8cbccc096f5088cb, 0xf93f87b7442e45d4, - 0xafebff0bcb24aafe, 0xf78f69a51539d749, - 0xdbe6fecebdedd5be, 0xb573440e5a884d1c, - 0x89705f4136b4a597, 0x31680a88f8953031, - 0xabcc77118461cefc, 0xfdc20d2b36ba7c3e, - 0xd6bf94d5e57a42bc, 0x3d32907604691b4d, - 0x8637bd05af6c69b5, 0xa63f9a49c2c1b110, - 0xa7c5ac471b478423, 0xfcf80dc33721d54, - 0xd1b71758e219652b, 0xd3c36113404ea4a9, - 0x83126e978d4fdf3b, 0x645a1cac083126ea, - 0xa3d70a3d70a3d70a, 0x3d70a3d70a3d70a4, - 0xcccccccccccccccc, 0xcccccccccccccccd, - 0x8000000000000000, 0x0, - 0xa000000000000000, 0x0, - 0xc800000000000000, 0x0, - 0xfa00000000000000, 0x0, - 0x9c40000000000000, 0x0, - 0xc350000000000000, 0x0, - 0xf424000000000000, 0x0, - 0x9896800000000000, 0x0, - 0xbebc200000000000, 0x0, - 0xee6b280000000000, 0x0, - 0x9502f90000000000, 0x0, - 0xba43b74000000000, 0x0, - 0xe8d4a51000000000, 0x0, - 0x9184e72a00000000, 0x0, - 0xb5e620f480000000, 0x0, - 0xe35fa931a0000000, 0x0, - 0x8e1bc9bf04000000, 0x0, - 0xb1a2bc2ec5000000, 0x0, - 0xde0b6b3a76400000, 0x0, - 0x8ac7230489e80000, 0x0, - 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0x8c213d9da502de45, 0x4526f422cc340000, - 0xaf298d050e4395d6, 0x9670b12b7f410000, - 0xdaf3f04651d47b4c, 0x3c0cdd765f114000, - 0x88d8762bf324cd0f, 0xa5880a69fb6ac800, - 0xab0e93b6efee0053, 0x8eea0d047a457a00, - 0xd5d238a4abe98068, 0x72a4904598d6d880, - 0x85a36366eb71f041, 0x47a6da2b7f864750, - 0xa70c3c40a64e6c51, 0x999090b65f67d924, - 0xd0cf4b50cfe20765, 0xfff4b4e3f741cf6d, - 0x82818f1281ed449f, 0xbff8f10e7a8921a4, - 0xa321f2d7226895c7, 0xaff72d52192b6a0d, - 0xcbea6f8ceb02bb39, 0x9bf4f8a69f764490, - 0xfee50b7025c36a08, 0x2f236d04753d5b4, - 0x9f4f2726179a2245, 0x1d762422c946590, - 0xc722f0ef9d80aad6, 0x424d3ad2b7b97ef5, - 0xf8ebad2b84e0d58b, 0xd2e0898765a7deb2, - 0x9b934c3b330c8577, 0x63cc55f49f88eb2f, - 0xc2781f49ffcfa6d5, 0x3cbf6b71c76b25fb, - 0xf316271c7fc3908a, 0x8bef464e3945ef7a, - 0x97edd871cfda3a56, 0x97758bf0e3cbb5ac, - 0xbde94e8e43d0c8ec, 0x3d52eeed1cbea317, - 0xed63a231d4c4fb27, 0x4ca7aaa863ee4bdd, - 0x945e455f24fb1cf8, 0x8fe8caa93e74ef6a, - 0xb975d6b6ee39e436, 0xb3e2fd538e122b44, - 0xe7d34c64a9c85d44, 0x60dbbca87196b616, - 0x90e40fbeea1d3a4a, 0xbc8955e946fe31cd, - 0xb51d13aea4a488dd, 0x6babab6398bdbe41, - 0xe264589a4dcdab14, 0xc696963c7eed2dd1, - 0x8d7eb76070a08aec, 0xfc1e1de5cf543ca2, - 0xb0de65388cc8ada8, 0x3b25a55f43294bcb, - 0xdd15fe86affad912, 0x49ef0eb713f39ebe, - 0x8a2dbf142dfcc7ab, 0x6e3569326c784337, - 0xacb92ed9397bf996, 0x49c2c37f07965404, - 0xd7e77a8f87daf7fb, 0xdc33745ec97be906, - 0x86f0ac99b4e8dafd, 0x69a028bb3ded71a3, - 0xa8acd7c0222311bc, 0xc40832ea0d68ce0c, - 0xd2d80db02aabd62b, 0xf50a3fa490c30190, - 0x83c7088e1aab65db, 0x792667c6da79e0fa, - 0xa4b8cab1a1563f52, 0x577001b891185938, - 0xcde6fd5e09abcf26, 0xed4c0226b55e6f86, - 0x80b05e5ac60b6178, 0x544f8158315b05b4, - 0xa0dc75f1778e39d6, 0x696361ae3db1c721, - 0xc913936dd571c84c, 0x3bc3a19cd1e38e9, - 0xfb5878494ace3a5f, 0x4ab48a04065c723, - 0x9d174b2dcec0e47b, 0x62eb0d64283f9c76, - 0xc45d1df942711d9a, 0x3ba5d0bd324f8394, - 0xf5746577930d6500, 0xca8f44ec7ee36479, - 0x9968bf6abbe85f20, 0x7e998b13cf4e1ecb, - 0xbfc2ef456ae276e8, 0x9e3fedd8c321a67e, - 0xefb3ab16c59b14a2, 0xc5cfe94ef3ea101e, - 0x95d04aee3b80ece5, 0xbba1f1d158724a12, - 0xbb445da9ca61281f, 0x2a8a6e45ae8edc97, - 0xea1575143cf97226, 0xf52d09d71a3293bd, - 0x924d692ca61be758, 0x593c2626705f9c56, - 0xb6e0c377cfa2e12e, 0x6f8b2fb00c77836c, - 0xe498f455c38b997a, 0xb6dfb9c0f956447, - 0x8edf98b59a373fec, 0x4724bd4189bd5eac, - 0xb2977ee300c50fe7, 0x58edec91ec2cb657, - 0xdf3d5e9bc0f653e1, 0x2f2967b66737e3ed, - 0x8b865b215899f46c, 0xbd79e0d20082ee74, - 0xae67f1e9aec07187, 0xecd8590680a3aa11, - 0xda01ee641a708de9, 0xe80e6f4820cc9495, - 0x884134fe908658b2, 0x3109058d147fdcdd, - 0xaa51823e34a7eede, 0xbd4b46f0599fd415, - 0xd4e5e2cdc1d1ea96, 0x6c9e18ac7007c91a, - 0x850fadc09923329e, 0x3e2cf6bc604ddb0, - 0xa6539930bf6bff45, 0x84db8346b786151c, - 0xcfe87f7cef46ff16, 0xe612641865679a63, - 0x81f14fae158c5f6e, 0x4fcb7e8f3f60c07e, - 0xa26da3999aef7749, 0xe3be5e330f38f09d, - 0xcb090c8001ab551c, 0x5cadf5bfd3072cc5, - 0xfdcb4fa002162a63, 0x73d9732fc7c8f7f6, - 0x9e9f11c4014dda7e, 0x2867e7fddcdd9afa, - 0xc646d63501a1511d, 0xb281e1fd541501b8, - 0xf7d88bc24209a565, 0x1f225a7ca91a4226, - 0x9ae757596946075f, 0x3375788de9b06958, - 0xc1a12d2fc3978937, 0x52d6b1641c83ae, - 0xf209787bb47d6b84, 0xc0678c5dbd23a49a, - 0x9745eb4d50ce6332, 0xf840b7ba963646e0, - 0xbd176620a501fbff, 0xb650e5a93bc3d898, - 0xec5d3fa8ce427aff, 0xa3e51f138ab4cebe, - 0x93ba47c980e98cdf, 0xc66f336c36b10137, - 0xb8a8d9bbe123f017, 0xb80b0047445d4184, - 0xe6d3102ad96cec1d, 0xa60dc059157491e5, - 0x9043ea1ac7e41392, 0x87c89837ad68db2f, - 0xb454e4a179dd1877, 0x29babe4598c311fb, - 0xe16a1dc9d8545e94, 0xf4296dd6fef3d67a, - 0x8ce2529e2734bb1d, 0x1899e4a65f58660c, - 0xb01ae745b101e9e4, 0x5ec05dcff72e7f8f, - 0xdc21a1171d42645d, 0x76707543f4fa1f73, - 0x899504ae72497eba, 0x6a06494a791c53a8, - 0xabfa45da0edbde69, 0x487db9d17636892, - 0xd6f8d7509292d603, 0x45a9d2845d3c42b6, - 0x865b86925b9bc5c2, 0xb8a2392ba45a9b2, - 0xa7f26836f282b732, 0x8e6cac7768d7141e, - 0xd1ef0244af2364ff, 0x3207d795430cd926, - 0x8335616aed761f1f, 0x7f44e6bd49e807b8, - 0xa402b9c5a8d3a6e7, 0x5f16206c9c6209a6, - 0xcd036837130890a1, 0x36dba887c37a8c0f, - 0x802221226be55a64, 0xc2494954da2c9789, - 0xa02aa96b06deb0fd, 0xf2db9baa10b7bd6c, - 0xc83553c5c8965d3d, 0x6f92829494e5acc7, - 0xfa42a8b73abbf48c, 0xcb772339ba1f17f9, - 0x9c69a97284b578d7, 0xff2a760414536efb, - 0xc38413cf25e2d70d, 0xfef5138519684aba, - 0xf46518c2ef5b8cd1, 0x7eb258665fc25d69, - 0x98bf2f79d5993802, 0xef2f773ffbd97a61, - 0xbeeefb584aff8603, 0xaafb550ffacfd8fa, - 0xeeaaba2e5dbf6784, 0x95ba2a53f983cf38, - 0x952ab45cfa97a0b2, 0xdd945a747bf26183, - 0xba756174393d88df, 0x94f971119aeef9e4, - 0xe912b9d1478ceb17, 0x7a37cd5601aab85d, - 0x91abb422ccb812ee, 0xac62e055c10ab33a, - 0xb616a12b7fe617aa, 0x577b986b314d6009, - 0xe39c49765fdf9d94, 0xed5a7e85fda0b80b, - 0x8e41ade9fbebc27d, 0x14588f13be847307, - 0xb1d219647ae6b31c, 0x596eb2d8ae258fc8, - 0xde469fbd99a05fe3, 0x6fca5f8ed9aef3bb, - 0x8aec23d680043bee, 0x25de7bb9480d5854, - 0xada72ccc20054ae9, 0xaf561aa79a10ae6a, - 0xd910f7ff28069da4, 0x1b2ba1518094da04, - 0x87aa9aff79042286, 0x90fb44d2f05d0842, - 0xa99541bf57452b28, 0x353a1607ac744a53, - 0xd3fa922f2d1675f2, 0x42889b8997915ce8, - 0x847c9b5d7c2e09b7, 0x69956135febada11, - 0xa59bc234db398c25, 0x43fab9837e699095, - 0xcf02b2c21207ef2e, 0x94f967e45e03f4bb, - 0x8161afb94b44f57d, 0x1d1be0eebac278f5, - 0xa1ba1ba79e1632dc, 0x6462d92a69731732, - 0xca28a291859bbf93, 0x7d7b8f7503cfdcfe, - 0xfcb2cb35e702af78, 0x5cda735244c3d43e, - 0x9defbf01b061adab, 0x3a0888136afa64a7, - 0xc56baec21c7a1916, 0x88aaa1845b8fdd0, - 0xf6c69a72a3989f5b, 0x8aad549e57273d45, - 0x9a3c2087a63f6399, 0x36ac54e2f678864b, - 0xc0cb28a98fcf3c7f, 0x84576a1bb416a7dd, - 0xf0fdf2d3f3c30b9f, 0x656d44a2a11c51d5, - 0x969eb7c47859e743, 0x9f644ae5a4b1b325, - 0xbc4665b596706114, 0x873d5d9f0dde1fee, - 0xeb57ff22fc0c7959, 0xa90cb506d155a7ea, - 0x9316ff75dd87cbd8, 0x9a7f12442d588f2, - 0xb7dcbf5354e9bece, 0xc11ed6d538aeb2f, - 0xe5d3ef282a242e81, 0x8f1668c8a86da5fa, - 0x8fa475791a569d10, 0xf96e017d694487bc, - 0xb38d92d760ec4455, 0x37c981dcc395a9ac, - 0xe070f78d3927556a, 0x85bbe253f47b1417, - 0x8c469ab843b89562, 0x93956d7478ccec8e, - 0xaf58416654a6babb, 0x387ac8d1970027b2, - 0xdb2e51bfe9d0696a, 0x6997b05fcc0319e, - 0x88fcf317f22241e2, 0x441fece3bdf81f03, - 0xab3c2fddeeaad25a, 0xd527e81cad7626c3, - 0xd60b3bd56a5586f1, 0x8a71e223d8d3b074, - 0x85c7056562757456, 0xf6872d5667844e49, - 0xa738c6bebb12d16c, 0xb428f8ac016561db, - 0xd106f86e69d785c7, 0xe13336d701beba52, - 0x82a45b450226b39c, 0xecc0024661173473, - 0xa34d721642b06084, 0x27f002d7f95d0190, - 0xcc20ce9bd35c78a5, 0x31ec038df7b441f4, - 0xff290242c83396ce, 0x7e67047175a15271, - 0x9f79a169bd203e41, 0xf0062c6e984d386, - 0xc75809c42c684dd1, 0x52c07b78a3e60868, - 0xf92e0c3537826145, 0xa7709a56ccdf8a82, - 0x9bbcc7a142b17ccb, 0x88a66076400bb691, - 0xc2abf989935ddbfe, 0x6acff893d00ea435, - 0xf356f7ebf83552fe, 0x583f6b8c4124d43, - 0x98165af37b2153de, 0xc3727a337a8b704a, - 0xbe1bf1b059e9a8d6, 0x744f18c0592e4c5c, - 0xeda2ee1c7064130c, 0x1162def06f79df73, - 0x9485d4d1c63e8be7, 0x8addcb5645ac2ba8, - 0xb9a74a0637ce2ee1, 0x6d953e2bd7173692, - 0xe8111c87c5c1ba99, 0xc8fa8db6ccdd0437, - 0x910ab1d4db9914a0, 0x1d9c9892400a22a2, - 0xb54d5e4a127f59c8, 0x2503beb6d00cab4b, - 0xe2a0b5dc971f303a, 0x2e44ae64840fd61d, - 0x8da471a9de737e24, 0x5ceaecfed289e5d2, - 0xb10d8e1456105dad, 0x7425a83e872c5f47, - 0xdd50f1996b947518, 0xd12f124e28f77719, - 0x8a5296ffe33cc92f, 0x82bd6b70d99aaa6f, - 0xace73cbfdc0bfb7b, 0x636cc64d1001550b, - 0xd8210befd30efa5a, 0x3c47f7e05401aa4e, - 0x8714a775e3e95c78, 0x65acfaec34810a71, - 0xa8d9d1535ce3b396, 0x7f1839a741a14d0d, - 0xd31045a8341ca07c, 0x1ede48111209a050, - 0x83ea2b892091e44d, 0x934aed0aab460432, - 0xa4e4b66b68b65d60, 0xf81da84d5617853f, - 0xce1de40642e3f4b9, 0x36251260ab9d668e, - 0x80d2ae83e9ce78f3, 0xc1d72b7c6b426019, - 0xa1075a24e4421730, 0xb24cf65b8612f81f, - 0xc94930ae1d529cfc, 0xdee033f26797b627, - 0xfb9b7cd9a4a7443c, 0x169840ef017da3b1, - 0x9d412e0806e88aa5, 0x8e1f289560ee864e, - 0xc491798a08a2ad4e, 0xf1a6f2bab92a27e2, - 0xf5b5d7ec8acb58a2, 0xae10af696774b1db, - 0x9991a6f3d6bf1765, 0xacca6da1e0a8ef29, - 0xbff610b0cc6edd3f, 0x17fd090a58d32af3, - 0xeff394dcff8a948e, 0xddfc4b4cef07f5b0, - 0x95f83d0a1fb69cd9, 0x4abdaf101564f98e, - 0xbb764c4ca7a4440f, 0x9d6d1ad41abe37f1, - 0xea53df5fd18d5513, 0x84c86189216dc5ed, - 0x92746b9be2f8552c, 0x32fd3cf5b4e49bb4, - 0xb7118682dbb66a77, 0x3fbc8c33221dc2a1, - 0xe4d5e82392a40515, 0xfabaf3feaa5334a, - 0x8f05b1163ba6832d, 0x29cb4d87f2a7400e, - 0xb2c71d5bca9023f8, 0x743e20e9ef511012, - 0xdf78e4b2bd342cf6, 0x914da9246b255416, - 0x8bab8eefb6409c1a, 0x1ad089b6c2f7548e, - 0xae9672aba3d0c320, 0xa184ac2473b529b1, - 0xda3c0f568cc4f3e8, 0xc9e5d72d90a2741e, - 0x8865899617fb1871, 0x7e2fa67c7a658892, - 0xaa7eebfb9df9de8d, 0xddbb901b98feeab7, - 0xd51ea6fa85785631, 0x552a74227f3ea565, - 0x8533285c936b35de, 0xd53a88958f87275f, - 0xa67ff273b8460356, 0x8a892abaf368f137, - 0xd01fef10a657842c, 0x2d2b7569b0432d85, - 0x8213f56a67f6b29b, 0x9c3b29620e29fc73, - 0xa298f2c501f45f42, 0x8349f3ba91b47b8f, - 0xcb3f2f7642717713, 0x241c70a936219a73, - 0xfe0efb53d30dd4d7, 0xed238cd383aa0110, - 0x9ec95d1463e8a506, 0xf4363804324a40aa, - 0xc67bb4597ce2ce48, 0xb143c6053edcd0d5, - 0xf81aa16fdc1b81da, 0xdd94b7868e94050a, - 0x9b10a4e5e9913128, 0xca7cf2b4191c8326, - 0xc1d4ce1f63f57d72, 0xfd1c2f611f63a3f0, - 0xf24a01a73cf2dccf, 0xbc633b39673c8cec, - 0x976e41088617ca01, 0xd5be0503e085d813, - 0xbd49d14aa79dbc82, 0x4b2d8644d8a74e18, - 0xec9c459d51852ba2, 0xddf8e7d60ed1219e, - 0x93e1ab8252f33b45, 0xcabb90e5c942b503, - 0xb8da1662e7b00a17, 0x3d6a751f3b936243, - 0xe7109bfba19c0c9d, 0xcc512670a783ad4, - 0x906a617d450187e2, 0x27fb2b80668b24c5, - 0xb484f9dc9641e9da, 0xb1f9f660802dedf6, - 0xe1a63853bbd26451, 0x5e7873f8a0396973, - 0x8d07e33455637eb2, 0xdb0b487b6423e1e8, - 0xb049dc016abc5e5f, 0x91ce1a9a3d2cda62, - 0xdc5c5301c56b75f7, 0x7641a140cc7810fb, - 0x89b9b3e11b6329ba, 0xa9e904c87fcb0a9d, - 0xac2820d9623bf429, 0x546345fa9fbdcd44, - 0xd732290fbacaf133, 0xa97c177947ad4095, - 0x867f59a9d4bed6c0, 0x49ed8eabcccc485d, - 0xa81f301449ee8c70, 0x5c68f256bfff5a74, - 0xd226fc195c6a2f8c, 0x73832eec6fff3111, - 0x83585d8fd9c25db7, 0xc831fd53c5ff7eab, - 0xa42e74f3d032f525, 0xba3e7ca8b77f5e55, - 0xcd3a1230c43fb26f, 0x28ce1bd2e55f35eb, - 0x80444b5e7aa7cf85, 0x7980d163cf5b81b3, - 0xa0555e361951c366, 0xd7e105bcc332621f, - 0xc86ab5c39fa63440, 0x8dd9472bf3fefaa7, - 0xfa856334878fc150, 0xb14f98f6f0feb951, - 0x9c935e00d4b9d8d2, 0x6ed1bf9a569f33d3, - 0xc3b8358109e84f07, 0xa862f80ec4700c8, - 0xf4a642e14c6262c8, 0xcd27bb612758c0fa, - 0x98e7e9cccfbd7dbd, 0x8038d51cb897789c, - 0xbf21e44003acdd2c, 0xe0470a63e6bd56c3, - 0xeeea5d5004981478, 0x1858ccfce06cac74, - 0x95527a5202df0ccb, 0xf37801e0c43ebc8, - 0xbaa718e68396cffd, 0xd30560258f54e6ba, - 0xe950df20247c83fd, 0x47c6b82ef32a2069, - 0x91d28b7416cdd27e, 0x4cdc331d57fa5441, - 0xb6472e511c81471d, 0xe0133fe4adf8e952, - 0xe3d8f9e563a198e5, 0x58180fddd97723a6, - 0x8e679c2f5e44ff8f, 0x570f09eaa7ea7648, - }; -}; - -template <class unused> -constexpr uint64_t - powers_template<unused>::power_of_five_128[number_of_entries]; - -using powers = powers_template<>; - -} // namespace fast_float - -#endif - -#ifndef FASTFLOAT_DECIMAL_TO_BINARY_H -#define FASTFLOAT_DECIMAL_TO_BINARY_H - -#include <cfloat> -#include <cinttypes> -#include <cmath> -#include <cstdint> -#include <cstdlib> -#include <cstring> - -namespace fast_float { - -// This will compute or rather approximate w * 5**q and return a pair of 64-bit -// words approximating the result, with the "high" part corresponding to the -// most significant bits and the low part corresponding to the least significant -// bits. -// -template <int bit_precision> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 value128 -compute_product_approximation(int64_t q, uint64_t w) { - const int index = 2 * int(q - powers::smallest_power_of_five); - // For small values of q, e.g., q in [0,27], the answer is always exact - // because The line value128 firstproduct = full_multiplication(w, - // power_of_five_128[index]); gives the exact answer. - value128 firstproduct = - full_multiplication(w, powers::power_of_five_128[index]); - static_assert((bit_precision >= 0) && (bit_precision <= 64), - " precision should be in (0,64]"); - constexpr uint64_t precision_mask = - (bit_precision < 64) ? (uint64_t(0xFFFFFFFFFFFFFFFF) >> bit_precision) - : uint64_t(0xFFFFFFFFFFFFFFFF); - if ((firstproduct.high & precision_mask) == - precision_mask) { // could further guard with (lower + w < lower) - // regarding the second product, we only need secondproduct.high, but our - // expectation is that the compiler will optimize this extra work away if - // needed. - value128 secondproduct = - full_multiplication(w, powers::power_of_five_128[index + 1]); - firstproduct.low += secondproduct.high; - if (secondproduct.high > firstproduct.low) { - firstproduct.high++; - } - } - return firstproduct; -} - -namespace detail { -/** - * For q in (0,350), we have that - * f = (((152170 + 65536) * q ) >> 16); - * is equal to - * floor(p) + q - * where - * p = log(5**q)/log(2) = q * log(5)/log(2) - * - * For negative values of q in (-400,0), we have that - * f = (((152170 + 65536) * q ) >> 16); - * is equal to - * -ceil(p) + q - * where - * p = log(5**-q)/log(2) = -q * log(5)/log(2) - */ -constexpr fastfloat_really_inline int32_t power(int32_t q) noexcept { - return (((152170 + 65536) * q) >> 16) + 63; -} -} // namespace detail - -// create an adjusted mantissa, biased by the invalid power2 -// for significant digits already multiplied by 10 ** q. -template <typename binary> -fastfloat_really_inline FASTFLOAT_CONSTEXPR14 adjusted_mantissa -compute_error_scaled(int64_t q, uint64_t w, int lz) noexcept { - int hilz = int(w >> 63) ^ 1; - adjusted_mantissa answer; - answer.mantissa = w << hilz; - int bias = binary::mantissa_explicit_bits() - binary::minimum_exponent(); - answer.power2 = int32_t(detail::power(int32_t(q)) + bias - hilz - lz - 62 + - invalid_am_bias); - return answer; -} - -// w * 10 ** q, without rounding the representation up. -// the power2 in the exponent will be adjusted by invalid_am_bias. -template <typename binary> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa -compute_error(int64_t q, uint64_t w) noexcept { - int lz = leading_zeroes(w); - w <<= lz; - value128 product = - compute_product_approximation<binary::mantissa_explicit_bits() + 3>(q, w); - return compute_error_scaled<binary>(q, product.high, lz); -} - -// w * 10 ** q -// The returned value should be a valid ieee64 number that simply need to be -// packed. However, in some very rare cases, the computation will fail. In such -// cases, we return an adjusted_mantissa with a negative power of 2: the caller -// should recompute in such cases. -template <typename binary> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa -compute_float(int64_t q, uint64_t w) noexcept { - adjusted_mantissa answer; - if ((w == 0) || (q < binary::smallest_power_of_ten())) { - answer.power2 = 0; - answer.mantissa = 0; - // result should be zero - return answer; - } - if (q > binary::largest_power_of_ten()) { - // we want to get infinity: - answer.power2 = binary::infinite_power(); - answer.mantissa = 0; - return answer; - } - // At this point in time q is in [powers::smallest_power_of_five, - // powers::largest_power_of_five]. - - // We want the most significant bit of i to be 1. Shift if needed. - int lz = leading_zeroes(w); - w <<= lz; - - // The required precision is binary::mantissa_explicit_bits() + 3 because - // 1. We need the implicit bit - // 2. We need an extra bit for rounding purposes - // 3. We might lose a bit due to the "upperbit" routine (result too small, - // requiring a shift) - - value128 product = - compute_product_approximation<binary::mantissa_explicit_bits() + 3>(q, w); - // The computed 'product' is always sufficient. - // Mathematical proof: - // Noble Mushtak and Daniel Lemire, Fast Number Parsing Without Fallback (to - // appear) See script/mushtak_lemire.py - - // The "compute_product_approximation" function can be slightly slower than a - // branchless approach: value128 product = compute_product(q, w); but in - // practice, we can win big with the compute_product_approximation if its - // additional branch is easily predicted. Which is best is data specific. - int upperbit = int(product.high >> 63); - int shift = upperbit + 64 - binary::mantissa_explicit_bits() - 3; - - answer.mantissa = product.high >> shift; - - answer.power2 = int32_t(detail::power(int32_t(q)) + upperbit - lz - - binary::minimum_exponent()); - if (answer.power2 <= 0) { // we have a subnormal? - // Here have that answer.power2 <= 0 so -answer.power2 >= 0 - if (-answer.power2 + 1 >= - 64) { // if we have more than 64 bits below the minimum exponent, you - // have a zero for sure. - answer.power2 = 0; - answer.mantissa = 0; - // result should be zero - return answer; - } - // next line is safe because -answer.power2 + 1 < 64 - answer.mantissa >>= -answer.power2 + 1; - // Thankfully, we can't have both "round-to-even" and subnormals because - // "round-to-even" only occurs for powers close to 0. - answer.mantissa += (answer.mantissa & 1); // round up - answer.mantissa >>= 1; - // There is a weird scenario where we don't have a subnormal but just. - // Suppose we start with 2.2250738585072013e-308, we end up - // with 0x3fffffffffffff x 2^-1023-53 which is technically subnormal - // whereas 0x40000000000000 x 2^-1023-53 is normal. Now, we need to round - // up 0x3fffffffffffff x 2^-1023-53 and once we do, we are no longer - // subnormal, but we can only know this after rounding. - // So we only declare a subnormal if we are smaller than the threshold. - answer.power2 = - (answer.mantissa < (uint64_t(1) << binary::mantissa_explicit_bits())) - ? 0 - : 1; - return answer; - } - - // usually, we round *up*, but if we fall right in between and and we have an - // even basis, we need to round down - // We are only concerned with the cases where 5**q fits in single 64-bit word. - if ((product.low <= 1) && (q >= binary::min_exponent_round_to_even()) && - (q <= binary::max_exponent_round_to_even()) && - ((answer.mantissa & 3) == 1)) { // we may fall between two floats! - // To be in-between two floats we need that in doing - // answer.mantissa = product.high >> (upperbit + 64 - - // binary::mantissa_explicit_bits() - 3); - // ... we dropped out only zeroes. But if this happened, then we can go - // back!!! - if ((answer.mantissa << shift) == product.high) { - answer.mantissa &= ~uint64_t(1); // flip it so that we do not round up - } - } - - answer.mantissa += (answer.mantissa & 1); // round up - answer.mantissa >>= 1; - if (answer.mantissa >= (uint64_t(2) << binary::mantissa_explicit_bits())) { - answer.mantissa = (uint64_t(1) << binary::mantissa_explicit_bits()); - answer.power2++; // undo previous addition - } - - answer.mantissa &= ~(uint64_t(1) << binary::mantissa_explicit_bits()); - if (answer.power2 >= binary::infinite_power()) { // infinity - answer.power2 = binary::infinite_power(); - answer.mantissa = 0; - } - return answer; -} - -} // namespace fast_float - -#endif - -#ifndef FASTFLOAT_BIGINT_H -#define FASTFLOAT_BIGINT_H - -#include <algorithm> -#include <cstdint> -#include <climits> -#include <cstring> - - -namespace fast_float { - -// the limb width: we want efficient multiplication of double the bits in -// limb, or for 64-bit limbs, at least 64-bit multiplication where we can -// extract the high and low parts efficiently. this is every 64-bit -// architecture except for sparc, which emulates 128-bit multiplication. -// we might have platforms where `CHAR_BIT` is not 8, so let's avoid -// doing `8 * sizeof(limb)`. -#if defined(FASTFLOAT_64BIT) && !defined(__sparc) -#define FASTFLOAT_64BIT_LIMB 1 -typedef uint64_t limb; -constexpr size_t limb_bits = 64; -#else -#define FASTFLOAT_32BIT_LIMB -typedef uint32_t limb; -constexpr size_t limb_bits = 32; -#endif - -typedef span<limb> limb_span; - -// number of bits in a bigint. this needs to be at least the number -// of bits required to store the largest bigint, which is -// `log2(10**(digits + max_exp))`, or `log2(10**(767 + 342))`, or -// ~3600 bits, so we round to 4000. -constexpr size_t bigint_bits = 4000; -constexpr size_t bigint_limbs = bigint_bits / limb_bits; - -// vector-like type that is allocated on the stack. the entire -// buffer is pre-allocated, and only the length changes. -template <uint16_t size> struct stackvec { - limb data[size]; - // we never need more than 150 limbs - uint16_t length{0}; - - stackvec() = default; - stackvec(const stackvec &) = delete; - stackvec &operator=(const stackvec &) = delete; - stackvec(stackvec &&) = delete; - stackvec &operator=(stackvec &&other) = delete; - - // create stack vector from existing limb span. - FASTFLOAT_CONSTEXPR20 stackvec(limb_span s) { - FASTFLOAT_ASSERT(try_extend(s)); - } - - FASTFLOAT_CONSTEXPR14 limb &operator[](size_t index) noexcept { - FASTFLOAT_DEBUG_ASSERT(index < length); - return data[index]; - } - FASTFLOAT_CONSTEXPR14 const limb &operator[](size_t index) const noexcept { - FASTFLOAT_DEBUG_ASSERT(index < length); - return data[index]; - } - // index from the end of the container - FASTFLOAT_CONSTEXPR14 const limb &rindex(size_t index) const noexcept { - FASTFLOAT_DEBUG_ASSERT(index < length); - size_t rindex = length - index - 1; - return data[rindex]; - } - - // set the length, without bounds checking. - FASTFLOAT_CONSTEXPR14 void set_len(size_t len) noexcept { - length = uint16_t(len); - } - constexpr size_t len() const noexcept { return length; } - constexpr bool is_empty() const noexcept { return length == 0; } - constexpr size_t capacity() const noexcept { return size; } - // append item to vector, without bounds checking - FASTFLOAT_CONSTEXPR14 void push_unchecked(limb value) noexcept { - data[length] = value; - length++; - } - // append item to vector, returning if item was added - FASTFLOAT_CONSTEXPR14 bool try_push(limb value) noexcept { - if (len() < capacity()) { - push_unchecked(value); - return true; - } else { - return false; - } - } - // add items to the vector, from a span, without bounds checking - FASTFLOAT_CONSTEXPR20 void extend_unchecked(limb_span s) noexcept { - limb *ptr = data + length; - std::copy_n(s.ptr, s.len(), ptr); - set_len(len() + s.len()); - } - // try to add items to the vector, returning if items were added - FASTFLOAT_CONSTEXPR20 bool try_extend(limb_span s) noexcept { - if (len() + s.len() <= capacity()) { - extend_unchecked(s); - return true; - } else { - return false; - } - } - // resize the vector, without bounds checking - // if the new size is longer than the vector, assign value to each - // appended item. - FASTFLOAT_CONSTEXPR20 - void resize_unchecked(size_t new_len, limb value) noexcept { - if (new_len > len()) { - size_t count = new_len - len(); - limb *first = data + len(); - limb *last = first + count; - ::std::fill(first, last, value); - set_len(new_len); - } else { - set_len(new_len); - } - } - // try to resize the vector, returning if the vector was resized. - FASTFLOAT_CONSTEXPR20 bool try_resize(size_t new_len, limb value) noexcept { - if (new_len > capacity()) { - return false; - } else { - resize_unchecked(new_len, value); - return true; - } - } - // check if any limbs are non-zero after the given index. - // this needs to be done in reverse order, since the index - // is relative to the most significant limbs. - FASTFLOAT_CONSTEXPR14 bool nonzero(size_t index) const noexcept { - while (index < len()) { - if (rindex(index) != 0) { - return true; - } - index++; - } - return false; - } - // normalize the big integer, so most-significant zero limbs are removed. - FASTFLOAT_CONSTEXPR14 void normalize() noexcept { - while (len() > 0 && rindex(0) == 0) { - length--; - } - } -}; - -fastfloat_really_inline FASTFLOAT_CONSTEXPR14 uint64_t -empty_hi64(bool &truncated) noexcept { - truncated = false; - return 0; -} - -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t -uint64_hi64(uint64_t r0, bool &truncated) noexcept { - truncated = false; - int shl = leading_zeroes(r0); - return r0 << shl; -} - -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t -uint64_hi64(uint64_t r0, uint64_t r1, bool &truncated) noexcept { - int shl = leading_zeroes(r0); - if (shl == 0) { - truncated = r1 != 0; - return r0; - } else { - int shr = 64 - shl; - truncated = (r1 << shl) != 0; - return (r0 << shl) | (r1 >> shr); - } -} - -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t -uint32_hi64(uint32_t r0, bool &truncated) noexcept { - return uint64_hi64(r0, truncated); -} - -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t -uint32_hi64(uint32_t r0, uint32_t r1, bool &truncated) noexcept { - uint64_t x0 = r0; - uint64_t x1 = r1; - return uint64_hi64((x0 << 32) | x1, truncated); -} - -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 uint64_t -uint32_hi64(uint32_t r0, uint32_t r1, uint32_t r2, bool &truncated) noexcept { - uint64_t x0 = r0; - uint64_t x1 = r1; - uint64_t x2 = r2; - return uint64_hi64(x0, (x1 << 32) | x2, truncated); -} - -// add two small integers, checking for overflow. -// we want an efficient operation. for msvc, where -// we don't have built-in intrinsics, this is still -// pretty fast. -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 limb -scalar_add(limb x, limb y, bool &overflow) noexcept { - limb z; -// gcc and clang -#if defined(__has_builtin) -#if __has_builtin(__builtin_add_overflow) - if (!cpp20_and_in_constexpr()) { - overflow = __builtin_add_overflow(x, y, &z); - return z; - } -#endif -#endif - - // generic, this still optimizes correctly on MSVC. - z = x + y; - overflow = z < x; - return z; -} - -// multiply two small integers, getting both the high and low bits. -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 limb -scalar_mul(limb x, limb y, limb &carry) noexcept { -#ifdef FASTFLOAT_64BIT_LIMB -#if defined(__SIZEOF_INT128__) - // GCC and clang both define it as an extension. - __uint128_t z = __uint128_t(x) * __uint128_t(y) + __uint128_t(carry); - carry = limb(z >> limb_bits); - return limb(z); -#else - // fallback, no native 128-bit integer multiplication with carry. - // on msvc, this optimizes identically, somehow. - value128 z = full_multiplication(x, y); - bool overflow; - z.low = scalar_add(z.low, carry, overflow); - z.high += uint64_t(overflow); // cannot overflow - carry = z.high; - return z.low; -#endif -#else - uint64_t z = uint64_t(x) * uint64_t(y) + uint64_t(carry); - carry = limb(z >> limb_bits); - return limb(z); -#endif -} - -// add scalar value to bigint starting from offset. -// used in grade school multiplication -template <uint16_t size> -inline FASTFLOAT_CONSTEXPR20 bool small_add_from(stackvec<size> &vec, limb y, - size_t start) noexcept { - size_t index = start; - limb carry = y; - bool overflow; - while (carry != 0 && index < vec.len()) { - vec[index] = scalar_add(vec[index], carry, overflow); - carry = limb(overflow); - index += 1; - } - if (carry != 0) { - FASTFLOAT_TRY(vec.try_push(carry)); - } - return true; -} - -// add scalar value to bigint. -template <uint16_t size> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool -small_add(stackvec<size> &vec, limb y) noexcept { - return small_add_from(vec, y, 0); -} - -// multiply bigint by scalar value. -template <uint16_t size> -inline FASTFLOAT_CONSTEXPR20 bool small_mul(stackvec<size> &vec, - limb y) noexcept { - limb carry = 0; - for (size_t index = 0; index < vec.len(); index++) { - vec[index] = scalar_mul(vec[index], y, carry); - } - if (carry != 0) { - FASTFLOAT_TRY(vec.try_push(carry)); - } - return true; -} - -// add bigint to bigint starting from index. -// used in grade school multiplication -template <uint16_t size> -FASTFLOAT_CONSTEXPR20 bool large_add_from(stackvec<size> &x, limb_span y, - size_t start) noexcept { - // the effective x buffer is from `xstart..x.len()`, so exit early - // if we can't get that current range. - if (x.len() < start || y.len() > x.len() - start) { - FASTFLOAT_TRY(x.try_resize(y.len() + start, 0)); - } - - bool carry = false; - for (size_t index = 0; index < y.len(); index++) { - limb xi = x[index + start]; - limb yi = y[index]; - bool c1 = false; - bool c2 = false; - xi = scalar_add(xi, yi, c1); - if (carry) { - xi = scalar_add(xi, 1, c2); - } - x[index + start] = xi; - carry = c1 | c2; - } - - // handle overflow - if (carry) { - FASTFLOAT_TRY(small_add_from(x, 1, y.len() + start)); - } - return true; -} - -// add bigint to bigint. -template <uint16_t size> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool -large_add_from(stackvec<size> &x, limb_span y) noexcept { - return large_add_from(x, y, 0); -} - -// grade-school multiplication algorithm -template <uint16_t size> -FASTFLOAT_CONSTEXPR20 bool long_mul(stackvec<size> &x, limb_span y) noexcept { - limb_span xs = limb_span(x.data, x.len()); - stackvec<size> z(xs); - limb_span zs = limb_span(z.data, z.len()); - - if (y.len() != 0) { - limb y0 = y[0]; - FASTFLOAT_TRY(small_mul(x, y0)); - for (size_t index = 1; index < y.len(); index++) { - limb yi = y[index]; - stackvec<size> zi; - if (yi != 0) { - // re-use the same buffer throughout - zi.set_len(0); - FASTFLOAT_TRY(zi.try_extend(zs)); - FASTFLOAT_TRY(small_mul(zi, yi)); - limb_span zis = limb_span(zi.data, zi.len()); - FASTFLOAT_TRY(large_add_from(x, zis, index)); - } - } - } - - x.normalize(); - return true; -} - -// grade-school multiplication algorithm -template <uint16_t size> -FASTFLOAT_CONSTEXPR20 bool large_mul(stackvec<size> &x, limb_span y) noexcept { - if (y.len() == 1) { - FASTFLOAT_TRY(small_mul(x, y[0])); - } else { - FASTFLOAT_TRY(long_mul(x, y)); - } - return true; -} - -template <typename = void> struct pow5_tables { - static constexpr uint32_t large_step = 135; - static constexpr uint64_t small_power_of_5[] = { - 1UL, - 5UL, - 25UL, - 125UL, - 625UL, - 3125UL, - 15625UL, - 78125UL, - 390625UL, - 1953125UL, - 9765625UL, - 48828125UL, - 244140625UL, - 1220703125UL, - 6103515625UL, - 30517578125UL, - 152587890625UL, - 762939453125UL, - 3814697265625UL, - 19073486328125UL, - 95367431640625UL, - 476837158203125UL, - 2384185791015625UL, - 11920928955078125UL, - 59604644775390625UL, - 298023223876953125UL, - 1490116119384765625UL, - 7450580596923828125UL, - }; -#ifdef FASTFLOAT_64BIT_LIMB - constexpr static limb large_power_of_5[] = { - 1414648277510068013UL, 9180637584431281687UL, 4539964771860779200UL, - 10482974169319127550UL, 198276706040285095UL}; -#else - constexpr static limb large_power_of_5[] = { - 4279965485U, 329373468U, 4020270615U, 2137533757U, 4287402176U, - 1057042919U, 1071430142U, 2440757623U, 381945767U, 46164893U}; -#endif -}; - -template <typename T> constexpr uint32_t pow5_tables<T>::large_step; - -template <typename T> constexpr uint64_t pow5_tables<T>::small_power_of_5[]; - -template <typename T> constexpr limb pow5_tables<T>::large_power_of_5[]; - -// big integer type. implements a small subset of big integer -// arithmetic, using simple algorithms since asymptotically -// faster algorithms are slower for a small number of limbs. -// all operations assume the big-integer is normalized. -struct bigint : pow5_tables<> { - // storage of the limbs, in little-endian order. - stackvec<bigint_limbs> vec; - - FASTFLOAT_CONSTEXPR20 bigint() : vec() {} - bigint(const bigint &) = delete; - bigint &operator=(const bigint &) = delete; - bigint(bigint &&) = delete; - bigint &operator=(bigint &&other) = delete; - - FASTFLOAT_CONSTEXPR20 bigint(uint64_t value) : vec() { -#ifdef FASTFLOAT_64BIT_LIMB - vec.push_unchecked(value); -#else - vec.push_unchecked(uint32_t(value)); - vec.push_unchecked(uint32_t(value >> 32)); -#endif - vec.normalize(); - } - - // get the high 64 bits from the vector, and if bits were truncated. - // this is to get the significant digits for the float. - FASTFLOAT_CONSTEXPR20 uint64_t hi64(bool &truncated) const noexcept { -#ifdef FASTFLOAT_64BIT_LIMB - if (vec.len() == 0) { - return empty_hi64(truncated); - } else if (vec.len() == 1) { - return uint64_hi64(vec.rindex(0), truncated); - } else { - uint64_t result = uint64_hi64(vec.rindex(0), vec.rindex(1), truncated); - truncated |= vec.nonzero(2); - return result; - } -#else - if (vec.len() == 0) { - return empty_hi64(truncated); - } else if (vec.len() == 1) { - return uint32_hi64(vec.rindex(0), truncated); - } else if (vec.len() == 2) { - return uint32_hi64(vec.rindex(0), vec.rindex(1), truncated); - } else { - uint64_t result = - uint32_hi64(vec.rindex(0), vec.rindex(1), vec.rindex(2), truncated); - truncated |= vec.nonzero(3); - return result; - } -#endif - } - - // compare two big integers, returning the large value. - // assumes both are normalized. if the return value is - // negative, other is larger, if the return value is - // positive, this is larger, otherwise they are equal. - // the limbs are stored in little-endian order, so we - // must compare the limbs in ever order. - FASTFLOAT_CONSTEXPR20 int compare(const bigint &other) const noexcept { - if (vec.len() > other.vec.len()) { - return 1; - } else if (vec.len() < other.vec.len()) { - return -1; - } else { - for (size_t index = vec.len(); index > 0; index--) { - limb xi = vec[index - 1]; - limb yi = other.vec[index - 1]; - if (xi > yi) { - return 1; - } else if (xi < yi) { - return -1; - } - } - return 0; - } - } - - // shift left each limb n bits, carrying over to the new limb - // returns true if we were able to shift all the digits. - FASTFLOAT_CONSTEXPR20 bool shl_bits(size_t n) noexcept { - // Internally, for each item, we shift left by n, and add the previous - // right shifted limb-bits. - // For example, we transform (for u8) shifted left 2, to: - // b10100100 b01000010 - // b10 b10010001 b00001000 - FASTFLOAT_DEBUG_ASSERT(n != 0); - FASTFLOAT_DEBUG_ASSERT(n < sizeof(limb) * 8); - - size_t shl = n; - size_t shr = limb_bits - shl; - limb prev = 0; - for (size_t index = 0; index < vec.len(); index++) { - limb xi = vec[index]; - vec[index] = (xi << shl) | (prev >> shr); - prev = xi; - } - - limb carry = prev >> shr; - if (carry != 0) { - return vec.try_push(carry); - } - return true; - } - - // move the limbs left by `n` limbs. - FASTFLOAT_CONSTEXPR20 bool shl_limbs(size_t n) noexcept { - FASTFLOAT_DEBUG_ASSERT(n != 0); - if (n + vec.len() > vec.capacity()) { - return false; - } else if (!vec.is_empty()) { - // move limbs - limb *dst = vec.data + n; - const limb *src = vec.data; - std::copy_backward(src, src + vec.len(), dst + vec.len()); - // fill in empty limbs - limb *first = vec.data; - limb *last = first + n; - ::std::fill(first, last, 0); - vec.set_len(n + vec.len()); - return true; - } else { - return true; - } - } - - // move the limbs left by `n` bits. - FASTFLOAT_CONSTEXPR20 bool shl(size_t n) noexcept { - size_t rem = n % limb_bits; - size_t div = n / limb_bits; - if (rem != 0) { - FASTFLOAT_TRY(shl_bits(rem)); - } - if (div != 0) { - FASTFLOAT_TRY(shl_limbs(div)); - } - return true; - } - - // get the number of leading zeros in the bigint. - FASTFLOAT_CONSTEXPR20 int ctlz() const noexcept { - if (vec.is_empty()) { - return 0; - } else { -#ifdef FASTFLOAT_64BIT_LIMB - return leading_zeroes(vec.rindex(0)); -#else - // no use defining a specialized leading_zeroes for a 32-bit type. - uint64_t r0 = vec.rindex(0); - return leading_zeroes(r0 << 32); -#endif - } - } - - // get the number of bits in the bigint. - FASTFLOAT_CONSTEXPR20 int bit_length() const noexcept { - int lz = ctlz(); - return int(limb_bits * vec.len()) - lz; - } - - FASTFLOAT_CONSTEXPR20 bool mul(limb y) noexcept { return small_mul(vec, y); } - - FASTFLOAT_CONSTEXPR20 bool add(limb y) noexcept { return small_add(vec, y); } - - // multiply as if by 2 raised to a power. - FASTFLOAT_CONSTEXPR20 bool pow2(uint32_t exp) noexcept { return shl(exp); } - - // multiply as if by 5 raised to a power. - FASTFLOAT_CONSTEXPR20 bool pow5(uint32_t exp) noexcept { - // multiply by a power of 5 - size_t large_length = sizeof(large_power_of_5) / sizeof(limb); - limb_span large = limb_span(large_power_of_5, large_length); - while (exp >= large_step) { - FASTFLOAT_TRY(large_mul(vec, large)); - exp -= large_step; - } -#ifdef FASTFLOAT_64BIT_LIMB - uint32_t small_step = 27; - limb max_native = 7450580596923828125UL; -#else - uint32_t small_step = 13; - limb max_native = 1220703125U; -#endif - while (exp >= small_step) { - FASTFLOAT_TRY(small_mul(vec, max_native)); - exp -= small_step; - } - if (exp != 0) { - // Work around clang bug https://godbolt.org/z/zedh7rrhc - // This is similar to https://github.com/llvm/llvm-project/issues/47746, - // except the workaround described there don't work here - FASTFLOAT_TRY(small_mul( - vec, limb(((void)small_power_of_5[0], small_power_of_5[exp])))); - } - - return true; - } - - // multiply as if by 10 raised to a power. - FASTFLOAT_CONSTEXPR20 bool pow10(uint32_t exp) noexcept { - FASTFLOAT_TRY(pow5(exp)); - return pow2(exp); - } -}; - -} // namespace fast_float - -#endif - -#ifndef FASTFLOAT_DIGIT_COMPARISON_H -#define FASTFLOAT_DIGIT_COMPARISON_H - -#include <algorithm> -#include <cstdint> -#include <cstring> -#include <iterator> - - -namespace fast_float { - -// 1e0 to 1e19 -constexpr static uint64_t powers_of_ten_uint64[] = {1UL, - 10UL, - 100UL, - 1000UL, - 10000UL, - 100000UL, - 1000000UL, - 10000000UL, - 100000000UL, - 1000000000UL, - 10000000000UL, - 100000000000UL, - 1000000000000UL, - 10000000000000UL, - 100000000000000UL, - 1000000000000000UL, - 10000000000000000UL, - 100000000000000000UL, - 1000000000000000000UL, - 10000000000000000000UL}; - -// calculate the exponent, in scientific notation, of the number. -// this algorithm is not even close to optimized, but it has no practical -// effect on performance: in order to have a faster algorithm, we'd need -// to slow down performance for faster algorithms, and this is still fast. -template <typename UC> -fastfloat_really_inline FASTFLOAT_CONSTEXPR14 int32_t -scientific_exponent(parsed_number_string_t<UC> &num) noexcept { - uint64_t mantissa = num.mantissa; - int32_t exponent = int32_t(num.exponent); - while (mantissa >= 10000) { - mantissa /= 10000; - exponent += 4; - } - while (mantissa >= 100) { - mantissa /= 100; - exponent += 2; - } - while (mantissa >= 10) { - mantissa /= 10; - exponent += 1; - } - return exponent; -} - -// this converts a native floating-point number to an extended-precision float. -template <typename T> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa -to_extended(T value) noexcept { - using equiv_uint = typename binary_format<T>::equiv_uint; - constexpr equiv_uint exponent_mask = binary_format<T>::exponent_mask(); - constexpr equiv_uint mantissa_mask = binary_format<T>::mantissa_mask(); - constexpr equiv_uint hidden_bit_mask = binary_format<T>::hidden_bit_mask(); - - adjusted_mantissa am; - int32_t bias = binary_format<T>::mantissa_explicit_bits() - - binary_format<T>::minimum_exponent(); - equiv_uint bits; -#if FASTFLOAT_HAS_BIT_CAST - bits = std::bit_cast<equiv_uint>(value); -#else - ::memcpy(&bits, &value, sizeof(T)); -#endif - if ((bits & exponent_mask) == 0) { - // denormal - am.power2 = 1 - bias; - am.mantissa = bits & mantissa_mask; - } else { - // normal - am.power2 = int32_t((bits & exponent_mask) >> - binary_format<T>::mantissa_explicit_bits()); - am.power2 -= bias; - am.mantissa = (bits & mantissa_mask) | hidden_bit_mask; - } - - return am; -} - -// get the extended precision value of the halfway point between b and b+u. -// we are given a native float that represents b, so we need to adjust it -// halfway between b and b+u. -template <typename T> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa -to_extended_halfway(T value) noexcept { - adjusted_mantissa am = to_extended(value); - am.mantissa <<= 1; - am.mantissa += 1; - am.power2 -= 1; - return am; -} - -// round an extended-precision float to the nearest machine float. -template <typename T, typename callback> -fastfloat_really_inline FASTFLOAT_CONSTEXPR14 void round(adjusted_mantissa &am, - callback cb) noexcept { - int32_t mantissa_shift = 64 - binary_format<T>::mantissa_explicit_bits() - 1; - if (-am.power2 >= mantissa_shift) { - // have a denormal float - int32_t shift = -am.power2 + 1; - cb(am, std::min<int32_t>(shift, 64)); - // check for round-up: if rounding-nearest carried us to the hidden bit. - am.power2 = (am.mantissa < - (uint64_t(1) << binary_format<T>::mantissa_explicit_bits())) - ? 0 - : 1; - return; - } - - // have a normal float, use the default shift. - cb(am, mantissa_shift); - - // check for carry - if (am.mantissa >= - (uint64_t(2) << binary_format<T>::mantissa_explicit_bits())) { - am.mantissa = (uint64_t(1) << binary_format<T>::mantissa_explicit_bits()); - am.power2++; - } - - // check for infinite: we could have carried to an infinite power - am.mantissa &= ~(uint64_t(1) << binary_format<T>::mantissa_explicit_bits()); - if (am.power2 >= binary_format<T>::infinite_power()) { - am.power2 = binary_format<T>::infinite_power(); - am.mantissa = 0; - } -} - -template <typename callback> -fastfloat_really_inline FASTFLOAT_CONSTEXPR14 void -round_nearest_tie_even(adjusted_mantissa &am, int32_t shift, - callback cb) noexcept { - const uint64_t mask = (shift == 64) ? UINT64_MAX : (uint64_t(1) << shift) - 1; - const uint64_t halfway = (shift == 0) ? 0 : uint64_t(1) << (shift - 1); - uint64_t truncated_bits = am.mantissa & mask; - bool is_above = truncated_bits > halfway; - bool is_halfway = truncated_bits == halfway; - - // shift digits into position - if (shift == 64) { - am.mantissa = 0; - } else { - am.mantissa >>= shift; - } - am.power2 += shift; - - bool is_odd = (am.mantissa & 1) == 1; - am.mantissa += uint64_t(cb(is_odd, is_halfway, is_above)); -} - -fastfloat_really_inline FASTFLOAT_CONSTEXPR14 void -round_down(adjusted_mantissa &am, int32_t shift) noexcept { - if (shift == 64) { - am.mantissa = 0; - } else { - am.mantissa >>= shift; - } - am.power2 += shift; -} -template <typename UC> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void -skip_zeros(UC const *&first, UC const *last) noexcept { - uint64_t val; - while (!cpp20_and_in_constexpr() && - std::distance(first, last) >= int_cmp_len<UC>()) { - ::memcpy(&val, first, sizeof(uint64_t)); - if (val != int_cmp_zeros<UC>()) { - break; - } - first += int_cmp_len<UC>(); - } - while (first != last) { - if (*first != UC('0')) { - break; - } - first++; - } -} - -// determine if any non-zero digits were truncated. -// all characters must be valid digits. -template <typename UC> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool -is_truncated(UC const *first, UC const *last) noexcept { - // do 8-bit optimizations, can just compare to 8 literal 0s. - uint64_t val; - while (!cpp20_and_in_constexpr() && - std::distance(first, last) >= int_cmp_len<UC>()) { - ::memcpy(&val, first, sizeof(uint64_t)); - if (val != int_cmp_zeros<UC>()) { - return true; - } - first += int_cmp_len<UC>(); - } - while (first != last) { - if (*first != UC('0')) { - return true; - } - ++first; - } - return false; -} -template <typename UC> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 bool -is_truncated(span<const UC> s) noexcept { - return is_truncated(s.ptr, s.ptr + s.len()); -} - -template <typename UC> -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void -parse_eight_digits(const UC *&p, limb &value, size_t &counter, - size_t &count) noexcept { - value = value * 100000000 + parse_eight_digits_unrolled(p); - p += 8; - counter += 8; - count += 8; -} - -template <typename UC> -fastfloat_really_inline FASTFLOAT_CONSTEXPR14 void -parse_one_digit(UC const *&p, limb &value, size_t &counter, - size_t &count) noexcept { - value = value * 10 + limb(*p - UC('0')); - p++; - counter++; - count++; -} - -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void -add_native(bigint &big, limb power, limb value) noexcept { - big.mul(power); - big.add(value); -} - -fastfloat_really_inline FASTFLOAT_CONSTEXPR20 void -round_up_bigint(bigint &big, size_t &count) noexcept { - // need to round-up the digits, but need to avoid rounding - // ....9999 to ...10000, which could cause a false halfway point. - add_native(big, 10, 1); - count++; -} - -// parse the significant digits into a big integer -template <typename UC> -inline FASTFLOAT_CONSTEXPR20 void -parse_mantissa(bigint &result, parsed_number_string_t<UC> &num, - size_t max_digits, size_t &digits) noexcept { - // try to minimize the number of big integer and scalar multiplication. - // therefore, try to parse 8 digits at a time, and multiply by the largest - // scalar value (9 or 19 digits) for each step. - size_t counter = 0; - digits = 0; - limb value = 0; -#ifdef FASTFLOAT_64BIT_LIMB - size_t step = 19; -#else - size_t step = 9; -#endif - - // process all integer digits. - UC const *p = num.integer.ptr; - UC const *pend = p + num.integer.len(); - skip_zeros(p, pend); - // process all digits, in increments of step per loop - while (p != pend) { - while ((std::distance(p, pend) >= 8) && (step - counter >= 8) && - (max_digits - digits >= 8)) { - parse_eight_digits(p, value, counter, digits); - } - while (counter < step && p != pend && digits < max_digits) { - parse_one_digit(p, value, counter, digits); - } - if (digits == max_digits) { - // add the temporary value, then check if we've truncated any digits - add_native(result, limb(powers_of_ten_uint64[counter]), value); - bool truncated = is_truncated(p, pend); - if (num.fraction.ptr != nullptr) { - truncated |= is_truncated(num.fraction); - } - if (truncated) { - round_up_bigint(result, digits); - } - return; - } else { - add_native(result, limb(powers_of_ten_uint64[counter]), value); - counter = 0; - value = 0; - } - } - - // add our fraction digits, if they're available. - if (num.fraction.ptr != nullptr) { - p = num.fraction.ptr; - pend = p + num.fraction.len(); - if (digits == 0) { - skip_zeros(p, pend); - } - // process all digits, in increments of step per loop - while (p != pend) { - while ((std::distance(p, pend) >= 8) && (step - counter >= 8) && - (max_digits - digits >= 8)) { - parse_eight_digits(p, value, counter, digits); - } - while (counter < step && p != pend && digits < max_digits) { - parse_one_digit(p, value, counter, digits); - } - if (digits == max_digits) { - // add the temporary value, then check if we've truncated any digits - add_native(result, limb(powers_of_ten_uint64[counter]), value); - bool truncated = is_truncated(p, pend); - if (truncated) { - round_up_bigint(result, digits); - } - return; - } else { - add_native(result, limb(powers_of_ten_uint64[counter]), value); - counter = 0; - value = 0; - } - } - } - - if (counter != 0) { - add_native(result, limb(powers_of_ten_uint64[counter]), value); - } -} - -template <typename T> -inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa -positive_digit_comp(bigint &bigmant, int32_t exponent) noexcept { - FASTFLOAT_ASSERT(bigmant.pow10(uint32_t(exponent))); - adjusted_mantissa answer; - bool truncated; - answer.mantissa = bigmant.hi64(truncated); - int bias = binary_format<T>::mantissa_explicit_bits() - - binary_format<T>::minimum_exponent(); - answer.power2 = bigmant.bit_length() - 64 + bias; - - round<T>(answer, [truncated](adjusted_mantissa &a, int32_t shift) { - round_nearest_tie_even( - a, shift, - [truncated](bool is_odd, bool is_halfway, bool is_above) -> bool { - return is_above || (is_halfway && truncated) || - (is_odd && is_halfway); - }); - }); - - return answer; -} - -// the scaling here is quite simple: we have, for the real digits `m * 10^e`, -// and for the theoretical digits `n * 2^f`. Since `e` is always negative, -// to scale them identically, we do `n * 2^f * 5^-f`, so we now have `m * 2^e`. -// we then need to scale by `2^(f- e)`, and then the two significant digits -// are of the same magnitude. -template <typename T> -inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa negative_digit_comp( - bigint &bigmant, adjusted_mantissa am, int32_t exponent) noexcept { - bigint &real_digits = bigmant; - int32_t real_exp = exponent; - - // get the value of `b`, rounded down, and get a bigint representation of b+h - adjusted_mantissa am_b = am; - // gcc7 buf: use a lambda to remove the noexcept qualifier bug with - // -Wnoexcept-type. - round<T>(am_b, - [](adjusted_mantissa &a, int32_t shift) { round_down(a, shift); }); - T b; - to_float(false, am_b, b); - adjusted_mantissa theor = to_extended_halfway(b); - bigint theor_digits(theor.mantissa); - int32_t theor_exp = theor.power2; - - // scale real digits and theor digits to be same power. - int32_t pow2_exp = theor_exp - real_exp; - uint32_t pow5_exp = uint32_t(-real_exp); - if (pow5_exp != 0) { - FASTFLOAT_ASSERT(theor_digits.pow5(pow5_exp)); - } - if (pow2_exp > 0) { - FASTFLOAT_ASSERT(theor_digits.pow2(uint32_t(pow2_exp))); - } else if (pow2_exp < 0) { - FASTFLOAT_ASSERT(real_digits.pow2(uint32_t(-pow2_exp))); - } - - // compare digits, and use it to director rounding - int ord = real_digits.compare(theor_digits); - adjusted_mantissa answer = am; - round<T>(answer, [ord](adjusted_mantissa &a, int32_t shift) { - round_nearest_tie_even( - a, shift, [ord](bool is_odd, bool _, bool __) -> bool { - (void)_; // not needed, since we've done our comparison - (void)__; // not needed, since we've done our comparison - if (ord > 0) { - return true; - } else if (ord < 0) { - return false; - } else { - return is_odd; - } - }); - }); - - return answer; -} - -// parse the significant digits as a big integer to unambiguously round the -// the significant digits. here, we are trying to determine how to round -// an extended float representation close to `b+h`, halfway between `b` -// (the float rounded-down) and `b+u`, the next positive float. this -// algorithm is always correct, and uses one of two approaches. when -// the exponent is positive relative to the significant digits (such as -// 1234), we create a big-integer representation, get the high 64-bits, -// determine if any lower bits are truncated, and use that to direct -// rounding. in case of a negative exponent relative to the significant -// digits (such as 1.2345), we create a theoretical representation of -// `b` as a big-integer type, scaled to the same binary exponent as -// the actual digits. we then compare the big integer representations -// of both, and use that to direct rounding. -template <typename T, typename UC> -inline FASTFLOAT_CONSTEXPR20 adjusted_mantissa -digit_comp(parsed_number_string_t<UC> &num, adjusted_mantissa am) noexcept { - // remove the invalid exponent bias - am.power2 -= invalid_am_bias; - - int32_t sci_exp = scientific_exponent(num); - size_t max_digits = binary_format<T>::max_digits(); - size_t digits = 0; - bigint bigmant; - parse_mantissa(bigmant, num, max_digits, digits); - // can't underflow, since digits is at most max_digits. - int32_t exponent = sci_exp + 1 - int32_t(digits); - if (exponent >= 0) { - return positive_digit_comp<T>(bigmant, exponent); - } else { - return negative_digit_comp<T>(bigmant, am, exponent); - } -} - -} // namespace fast_float - -#endif - -#ifndef FASTFLOAT_PARSE_NUMBER_H -#define FASTFLOAT_PARSE_NUMBER_H - - -#include <cmath> -#include <cstring> -#include <limits> -#include <system_error> -namespace fast_float { - -namespace detail { -/** - * Special case +inf, -inf, nan, infinity, -infinity. - * The case comparisons could be made much faster given that we know that the - * strings a null-free and fixed. - **/ -template <typename T, typename UC> -from_chars_result_t<UC> FASTFLOAT_CONSTEXPR14 parse_infnan(UC const *first, - UC const *last, - T &value) noexcept { - from_chars_result_t<UC> answer{}; - answer.ptr = first; - answer.ec = std::errc(); // be optimistic - bool minusSign = false; - if (*first == - UC('-')) { // assume first < last, so dereference without checks; - // C++17 20.19.3.(7.1) explicitly forbids '+' here - minusSign = true; - ++first; - } -#ifdef FASTFLOAT_ALLOWS_LEADING_PLUS // disabled by default - if (*first == UC('+')) { - ++first; - } -#endif - if (last - first >= 3) { - if (fastfloat_strncasecmp(first, str_const_nan<UC>(), 3)) { - answer.ptr = (first += 3); - value = minusSign ? -std::numeric_limits<T>::quiet_NaN() - : std::numeric_limits<T>::quiet_NaN(); - // Check for possible nan(n-char-seq-opt), C++17 20.19.3.7, - // C11 7.20.1.3.3. At least MSVC produces nan(ind) and nan(snan). - if (first != last && *first == UC('(')) { - for (UC const *ptr = first + 1; ptr != last; ++ptr) { - if (*ptr == UC(')')) { - answer.ptr = ptr + 1; // valid nan(n-char-seq-opt) - break; - } else if (!((UC('a') <= *ptr && *ptr <= UC('z')) || - (UC('A') <= *ptr && *ptr <= UC('Z')) || - (UC('0') <= *ptr && *ptr <= UC('9')) || *ptr == UC('_'))) - break; // forbidden char, not nan(n-char-seq-opt) - } - } - return answer; - } - if (fastfloat_strncasecmp(first, str_const_inf<UC>(), 3)) { - if ((last - first >= 8) && - fastfloat_strncasecmp(first + 3, str_const_inf<UC>() + 3, 5)) { - answer.ptr = first + 8; - } else { - answer.ptr = first + 3; - } - value = minusSign ? -std::numeric_limits<T>::infinity() - : std::numeric_limits<T>::infinity(); - return answer; - } - } - answer.ec = std::errc::invalid_argument; - return answer; -} - -/** - * Returns true if the floating-pointing rounding mode is to 'nearest'. - * It is the default on most system. This function is meant to be inexpensive. - * Credit : @mwalcott3 - */ -fastfloat_really_inline bool rounds_to_nearest() noexcept { - // https://lemire.me/blog/2020/06/26/gcc-not-nearest/ -#if (FLT_EVAL_METHOD != 1) && (FLT_EVAL_METHOD != 0) - return false; -#endif - // See - // A fast function to check your floating-point rounding mode - // https://lemire.me/blog/2022/11/16/a-fast-function-to-check-your-floating-point-rounding-mode/ - // - // This function is meant to be equivalent to : - // prior: #include <cfenv> - // return fegetround() == FE_TONEAREST; - // However, it is expected to be much faster than the fegetround() - // function call. - // - // The volatile keywoard prevents the compiler from computing the function - // at compile-time. - // There might be other ways to prevent compile-time optimizations (e.g., - // asm). The value does not need to be std::numeric_limits<float>::min(), any - // small value so that 1 + x should round to 1 would do (after accounting for - // excess precision, as in 387 instructions). - static volatile float fmin = std::numeric_limits<float>::min(); - float fmini = fmin; // we copy it so that it gets loaded at most once. -// -// Explanation: -// Only when fegetround() == FE_TONEAREST do we have that -// fmin + 1.0f == 1.0f - fmin. -// -// FE_UPWARD: -// fmin + 1.0f > 1 -// 1.0f - fmin == 1 -// -// FE_DOWNWARD or FE_TOWARDZERO: -// fmin + 1.0f == 1 -// 1.0f - fmin < 1 -// -// Note: This may fail to be accurate if fast-math has been -// enabled, as rounding conventions may not apply. -#ifdef FASTFLOAT_VISUAL_STUDIO -#pragma warning(push) -// todo: is there a VS warning? -// see -// https://stackoverflow.com/questions/46079446/is-there-a-warning-for-floating-point-equality-checking-in-visual-studio-2013 -#elif defined(__clang__) -#pragma clang diagnostic push -#pragma clang diagnostic ignored "-Wfloat-equal" -#elif defined(__GNUC__) -#pragma GCC diagnostic push -#pragma GCC diagnostic ignored "-Wfloat-equal" -#endif - return (fmini + 1.0f == 1.0f - fmini); -#ifdef FASTFLOAT_VISUAL_STUDIO -#pragma warning(pop) -#elif defined(__clang__) -#pragma clang diagnostic pop -#elif defined(__GNUC__) -#pragma GCC diagnostic pop -#endif -} - -} // namespace detail - -template <typename T> struct from_chars_caller { - template <typename UC> - FASTFLOAT_CONSTEXPR20 static from_chars_result_t<UC> - call(UC const *first, UC const *last, T &value, - parse_options_t<UC> options) noexcept { - return from_chars_advanced(first, last, value, options); - } -}; - -#if __STDCPP_FLOAT32_T__ == 1 -template <> struct from_chars_caller<std::float32_t> { - template <typename UC> - FASTFLOAT_CONSTEXPR20 static from_chars_result_t<UC> - call(UC const *first, UC const *last, std::float32_t &value, - parse_options_t<UC> options) noexcept { - // if std::float32_t is defined, and we are in C++23 mode; macro set for - // float32; set value to float due to equivalence between float and - // float32_t - float val; - auto ret = from_chars_advanced(first, last, val, options); - value = val; - return ret; - } -}; -#endif - -#if __STDCPP_FLOAT64_T__ == 1 -template <> struct from_chars_caller<std::float64_t> { - template <typename UC> - FASTFLOAT_CONSTEXPR20 static from_chars_result_t<UC> - call(UC const *first, UC const *last, std::float64_t &value, - parse_options_t<UC> options) noexcept { - // if std::float64_t is defined, and we are in C++23 mode; macro set for - // float64; set value as double due to equivalence between double and - // float64_t - double val; - auto ret = from_chars_advanced(first, last, val, options); - value = val; - return ret; - } -}; -#endif - -template <typename T, typename UC, typename> -FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> -from_chars(UC const *first, UC const *last, T &value, - chars_format fmt /*= chars_format::general*/) noexcept { - return from_chars_caller<T>::call(first, last, value, - parse_options_t<UC>(fmt)); -} - -/** - * This function overload takes parsed_number_string_t structure that is created - * and populated either by from_chars_advanced function taking chars range and - * parsing options or other parsing custom function implemented by user. - */ -template <typename T, typename UC> -FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> -from_chars_advanced(parsed_number_string_t<UC> &pns, T &value) noexcept { - - static_assert(is_supported_float_type<T>(), - "only some floating-point types are supported"); - static_assert(is_supported_char_type<UC>(), - "only char, wchar_t, char16_t and char32_t are supported"); - - from_chars_result_t<UC> answer; - - answer.ec = std::errc(); // be optimistic - answer.ptr = pns.lastmatch; - // The implementation of the Clinger's fast path is convoluted because - // we want round-to-nearest in all cases, irrespective of the rounding mode - // selected on the thread. - // We proceed optimistically, assuming that detail::rounds_to_nearest() - // returns true. - if (binary_format<T>::min_exponent_fast_path() <= pns.exponent && - pns.exponent <= binary_format<T>::max_exponent_fast_path() && - !pns.too_many_digits) { - // Unfortunately, the conventional Clinger's fast path is only possible - // when the system rounds to the nearest float. - // - // We expect the next branch to almost always be selected. - // We could check it first (before the previous branch), but - // there might be performance advantages at having the check - // be last. - if (!cpp20_and_in_constexpr() && detail::rounds_to_nearest()) { - // We have that fegetround() == FE_TONEAREST. - // Next is Clinger's fast path. - if (pns.mantissa <= binary_format<T>::max_mantissa_fast_path()) { - value = T(pns.mantissa); - if (pns.exponent < 0) { - value = value / binary_format<T>::exact_power_of_ten(-pns.exponent); - } else { - value = value * binary_format<T>::exact_power_of_ten(pns.exponent); - } - if (pns.negative) { - value = -value; - } - return answer; - } - } else { - // We do not have that fegetround() == FE_TONEAREST. - // Next is a modified Clinger's fast path, inspired by Jakub Jelínek's - // proposal - if (pns.exponent >= 0 && - pns.mantissa <= - binary_format<T>::max_mantissa_fast_path(pns.exponent)) { -#if defined(__clang__) || defined(FASTFLOAT_32BIT) - // Clang may map 0 to -0.0 when fegetround() == FE_DOWNWARD - if (pns.mantissa == 0) { - value = pns.negative ? T(-0.) : T(0.); - return answer; - } -#endif - value = T(pns.mantissa) * - binary_format<T>::exact_power_of_ten(pns.exponent); - if (pns.negative) { - value = -value; - } - return answer; - } - } - } - adjusted_mantissa am = - compute_float<binary_format<T>>(pns.exponent, pns.mantissa); - if (pns.too_many_digits && am.power2 >= 0) { - if (am != compute_float<binary_format<T>>(pns.exponent, pns.mantissa + 1)) { - am = compute_error<binary_format<T>>(pns.exponent, pns.mantissa); - } - } - // If we called compute_float<binary_format<T>>(pns.exponent, pns.mantissa) - // and we have an invalid power (am.power2 < 0), then we need to go the long - // way around again. This is very uncommon. - if (am.power2 < 0) { - am = digit_comp<T>(pns, am); - } - to_float(pns.negative, am, value); - // Test for over/underflow. - if ((pns.mantissa != 0 && am.mantissa == 0 && am.power2 == 0) || - am.power2 == binary_format<T>::infinite_power()) { - answer.ec = std::errc::result_out_of_range; - } - return answer; -} - -template <typename T, typename UC> -FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> -from_chars_advanced(UC const *first, UC const *last, T &value, - parse_options_t<UC> options) noexcept { - - static_assert(is_supported_float_type<T>(), - "only some floating-point types are supported"); - static_assert(is_supported_char_type<UC>(), - "only char, wchar_t, char16_t and char32_t are supported"); - - from_chars_result_t<UC> answer; -#ifdef FASTFLOAT_SKIP_WHITE_SPACE // disabled by default - while ((first != last) && fast_float::is_space(uint8_t(*first))) { - first++; - } -#endif - if (first == last) { - answer.ec = std::errc::invalid_argument; - answer.ptr = first; - return answer; - } - parsed_number_string_t<UC> pns = - parse_number_string<UC>(first, last, options); - if (!pns.valid) { - if (options.format & chars_format::no_infnan) { - answer.ec = std::errc::invalid_argument; - answer.ptr = first; - return answer; - } else { - return detail::parse_infnan(first, last, value); - } - } - - // call overload that takes parsed_number_string_t directly. - return from_chars_advanced(pns, value); -} - -template <typename T, typename UC, typename> -FASTFLOAT_CONSTEXPR20 from_chars_result_t<UC> -from_chars(UC const *first, UC const *last, T &value, int base) noexcept { - static_assert(is_supported_char_type<UC>(), - "only char, wchar_t, char16_t and char32_t are supported"); - - from_chars_result_t<UC> answer; -#ifdef FASTFLOAT_SKIP_WHITE_SPACE // disabled by default - while ((first != last) && fast_float::is_space(uint8_t(*first))) { - first++; - } -#endif - if (first == last || base < 2 || base > 36) { - answer.ec = std::errc::invalid_argument; - answer.ptr = first; - return answer; - } - return parse_int_string(first, last, value, base); -} - -} // namespace fast_float - -#endif - |