1724 lines
72 KiB
C
1724 lines
72 KiB
C
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// Formatting library for C++ - implementation
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//
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// Copyright (c) 2012 - 2016, Victor Zverovich
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// All rights reserved.
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//
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// For the license information refer to format.h.
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#ifndef FMT_FORMAT_INL_H_
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#define FMT_FORMAT_INL_H_
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#include <algorithm>
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#include <cctype>
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#include <cerrno> // errno
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#include <climits>
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#include <cmath>
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#include <cstdarg>
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#include <cstring> // std::memmove
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#include <cwchar>
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#include <exception>
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#ifndef FMT_STATIC_THOUSANDS_SEPARATOR
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# include <locale>
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#endif
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#ifdef _WIN32
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# include <io.h> // _isatty
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#endif
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#include "format.h"
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FMT_BEGIN_NAMESPACE
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namespace detail {
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FMT_FUNC void assert_fail(const char* file, int line, const char* message) {
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// Use unchecked std::fprintf to avoid triggering another assertion when
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// writing to stderr fails
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std::fprintf(stderr, "%s:%d: assertion failed: %s", file, line, message);
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// Chosen instead of std::abort to satisfy Clang in CUDA mode during device
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// code pass.
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std::terminate();
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}
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FMT_FUNC void throw_format_error(const char* message) {
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FMT_THROW(format_error(message));
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}
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FMT_FUNC void format_error_code(detail::buffer<char>& out, int error_code,
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string_view message) noexcept {
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// Report error code making sure that the output fits into
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// inline_buffer_size to avoid dynamic memory allocation and potential
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// bad_alloc.
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out.try_resize(0);
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static const char SEP[] = ": ";
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static const char ERROR_STR[] = "error ";
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// Subtract 2 to account for terminating null characters in SEP and ERROR_STR.
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size_t error_code_size = sizeof(SEP) + sizeof(ERROR_STR) - 2;
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auto abs_value = static_cast<uint32_or_64_or_128_t<int>>(error_code);
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if (detail::is_negative(error_code)) {
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abs_value = 0 - abs_value;
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++error_code_size;
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}
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error_code_size += detail::to_unsigned(detail::count_digits(abs_value));
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auto it = buffer_appender<char>(out);
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if (message.size() <= inline_buffer_size - error_code_size)
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format_to(it, FMT_STRING("{}{}"), message, SEP);
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format_to(it, FMT_STRING("{}{}"), ERROR_STR, error_code);
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FMT_ASSERT(out.size() <= inline_buffer_size, "");
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}
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FMT_FUNC void report_error(format_func func, int error_code,
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const char* message) noexcept {
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memory_buffer full_message;
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func(full_message, error_code, message);
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// Don't use fwrite_fully because the latter may throw.
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if (std::fwrite(full_message.data(), full_message.size(), 1, stderr) > 0)
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std::fputc('\n', stderr);
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}
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// A wrapper around fwrite that throws on error.
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inline void fwrite_fully(const void* ptr, size_t size, size_t count,
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FILE* stream) {
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size_t written = std::fwrite(ptr, size, count, stream);
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if (written < count)
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FMT_THROW(system_error(errno, FMT_STRING("cannot write to file")));
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}
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#ifndef FMT_STATIC_THOUSANDS_SEPARATOR
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template <typename Locale>
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locale_ref::locale_ref(const Locale& loc) : locale_(&loc) {
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static_assert(std::is_same<Locale, std::locale>::value, "");
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}
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template <typename Locale> Locale locale_ref::get() const {
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static_assert(std::is_same<Locale, std::locale>::value, "");
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return locale_ ? *static_cast<const std::locale*>(locale_) : std::locale();
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}
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template <typename Char>
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FMT_FUNC auto thousands_sep_impl(locale_ref loc) -> thousands_sep_result<Char> {
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auto& facet = std::use_facet<std::numpunct<Char>>(loc.get<std::locale>());
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auto grouping = facet.grouping();
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auto thousands_sep = grouping.empty() ? Char() : facet.thousands_sep();
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return {std::move(grouping), thousands_sep};
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}
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template <typename Char> FMT_FUNC Char decimal_point_impl(locale_ref loc) {
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return std::use_facet<std::numpunct<Char>>(loc.get<std::locale>())
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.decimal_point();
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}
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#else
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template <typename Char>
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FMT_FUNC auto thousands_sep_impl(locale_ref) -> thousands_sep_result<Char> {
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return {"\03", FMT_STATIC_THOUSANDS_SEPARATOR};
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}
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template <typename Char> FMT_FUNC Char decimal_point_impl(locale_ref) {
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return '.';
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}
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#endif
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} // namespace detail
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#if !FMT_MSC_VERSION
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FMT_API FMT_FUNC format_error::~format_error() noexcept = default;
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#endif
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FMT_FUNC std::system_error vsystem_error(int error_code, string_view format_str,
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format_args args) {
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auto ec = std::error_code(error_code, std::generic_category());
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return std::system_error(ec, vformat(format_str, args));
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}
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namespace detail {
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template <typename F> inline bool operator==(basic_fp<F> x, basic_fp<F> y) {
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return x.f == y.f && x.e == y.e;
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}
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// Compilers should be able to optimize this into the ror instruction.
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FMT_CONSTEXPR inline uint32_t rotr(uint32_t n, uint32_t r) noexcept {
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r &= 31;
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return (n >> r) | (n << (32 - r));
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}
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FMT_CONSTEXPR inline uint64_t rotr(uint64_t n, uint32_t r) noexcept {
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r &= 63;
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return (n >> r) | (n << (64 - r));
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}
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// Computes 128-bit result of multiplication of two 64-bit unsigned integers.
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inline uint128_fallback umul128(uint64_t x, uint64_t y) noexcept {
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#if FMT_USE_INT128
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auto p = static_cast<uint128_opt>(x) * static_cast<uint128_opt>(y);
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return {static_cast<uint64_t>(p >> 64), static_cast<uint64_t>(p)};
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#elif defined(_MSC_VER) && defined(_M_X64)
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auto result = uint128_fallback();
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result.lo_ = _umul128(x, y, &result.hi_);
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return result;
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#else
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const uint64_t mask = static_cast<uint64_t>(max_value<uint32_t>());
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uint64_t a = x >> 32;
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uint64_t b = x & mask;
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uint64_t c = y >> 32;
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uint64_t d = y & mask;
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uint64_t ac = a * c;
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uint64_t bc = b * c;
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uint64_t ad = a * d;
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uint64_t bd = b * d;
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uint64_t intermediate = (bd >> 32) + (ad & mask) + (bc & mask);
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return {ac + (intermediate >> 32) + (ad >> 32) + (bc >> 32),
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(intermediate << 32) + (bd & mask)};
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#endif
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}
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// Implementation of Dragonbox algorithm: https://github.com/jk-jeon/dragonbox.
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namespace dragonbox {
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// Computes upper 64 bits of multiplication of two 64-bit unsigned integers.
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inline uint64_t umul128_upper64(uint64_t x, uint64_t y) noexcept {
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#if FMT_USE_INT128
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auto p = static_cast<uint128_opt>(x) * static_cast<uint128_opt>(y);
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return static_cast<uint64_t>(p >> 64);
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#elif defined(_MSC_VER) && defined(_M_X64)
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return __umulh(x, y);
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#else
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return umul128(x, y).high();
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#endif
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}
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// Computes upper 128 bits of multiplication of a 64-bit unsigned integer and a
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// 128-bit unsigned integer.
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inline uint128_fallback umul192_upper128(uint64_t x,
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uint128_fallback y) noexcept {
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uint128_fallback r = umul128(x, y.high());
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r += umul128_upper64(x, y.low());
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return r;
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}
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// Computes upper 64 bits of multiplication of a 32-bit unsigned integer and a
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// 64-bit unsigned integer.
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inline uint64_t umul96_upper64(uint32_t x, uint64_t y) noexcept {
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return umul128_upper64(static_cast<uint64_t>(x) << 32, y);
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}
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// Computes lower 128 bits of multiplication of a 64-bit unsigned integer and a
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// 128-bit unsigned integer.
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inline uint128_fallback umul192_lower128(uint64_t x,
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uint128_fallback y) noexcept {
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uint64_t high = x * y.high();
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uint128_fallback high_low = umul128(x, y.low());
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return {high + high_low.high(), high_low.low()};
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}
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// Computes lower 64 bits of multiplication of a 32-bit unsigned integer and a
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// 64-bit unsigned integer.
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inline uint64_t umul96_lower64(uint32_t x, uint64_t y) noexcept {
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return x * y;
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}
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// Computes floor(log10(pow(2, e))) for e in [-2620, 2620] using the method from
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// https://fmt.dev/papers/Dragonbox.pdf#page=28, section 6.1.
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inline int floor_log10_pow2(int e) noexcept {
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FMT_ASSERT(e <= 2620 && e >= -2620, "too large exponent");
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static_assert((-1 >> 1) == -1, "right shift is not arithmetic");
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return (e * 315653) >> 20;
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}
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// Various fast log computations.
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inline int floor_log2_pow10(int e) noexcept {
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FMT_ASSERT(e <= 1233 && e >= -1233, "too large exponent");
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return (e * 1741647) >> 19;
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}
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inline int floor_log10_pow2_minus_log10_4_over_3(int e) noexcept {
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FMT_ASSERT(e <= 2936 && e >= -2985, "too large exponent");
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return (e * 631305 - 261663) >> 21;
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}
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static constexpr struct {
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uint32_t divisor;
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int shift_amount;
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} div_small_pow10_infos[] = {{10, 16}, {100, 16}};
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// Replaces n by floor(n / pow(10, N)) returning true if and only if n is
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// divisible by pow(10, N).
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// Precondition: n <= pow(10, N + 1).
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template <int N>
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bool check_divisibility_and_divide_by_pow10(uint32_t& n) noexcept {
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// The numbers below are chosen such that:
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// 1. floor(n/d) = floor(nm / 2^k) where d=10 or d=100,
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// 2. nm mod 2^k < m if and only if n is divisible by d,
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// where m is magic_number, k is shift_amount
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// and d is divisor.
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//
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// Item 1 is a common technique of replacing division by a constant with
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// multiplication, see e.g. "Division by Invariant Integers Using
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// Multiplication" by Granlund and Montgomery (1994). magic_number (m) is set
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// to ceil(2^k/d) for large enough k.
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// The idea for item 2 originates from Schubfach.
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constexpr auto info = div_small_pow10_infos[N - 1];
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FMT_ASSERT(n <= info.divisor * 10, "n is too large");
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constexpr uint32_t magic_number =
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(1u << info.shift_amount) / info.divisor + 1;
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n *= magic_number;
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const uint32_t comparison_mask = (1u << info.shift_amount) - 1;
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bool result = (n & comparison_mask) < magic_number;
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n >>= info.shift_amount;
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return result;
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}
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// Computes floor(n / pow(10, N)) for small n and N.
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// Precondition: n <= pow(10, N + 1).
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template <int N> uint32_t small_division_by_pow10(uint32_t n) noexcept {
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constexpr auto info = div_small_pow10_infos[N - 1];
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FMT_ASSERT(n <= info.divisor * 10, "n is too large");
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constexpr uint32_t magic_number =
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(1u << info.shift_amount) / info.divisor + 1;
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return (n * magic_number) >> info.shift_amount;
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}
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// Computes floor(n / 10^(kappa + 1)) (float)
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inline uint32_t divide_by_10_to_kappa_plus_1(uint32_t n) noexcept {
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// 1374389535 = ceil(2^37/100)
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return static_cast<uint32_t>((static_cast<uint64_t>(n) * 1374389535) >> 37);
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}
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// Computes floor(n / 10^(kappa + 1)) (double)
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inline uint64_t divide_by_10_to_kappa_plus_1(uint64_t n) noexcept {
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// 2361183241434822607 = ceil(2^(64+7)/1000)
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return umul128_upper64(n, 2361183241434822607ull) >> 7;
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}
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// Various subroutines using pow10 cache
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template <class T> struct cache_accessor;
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template <> struct cache_accessor<float> {
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using carrier_uint = float_info<float>::carrier_uint;
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using cache_entry_type = uint64_t;
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static uint64_t get_cached_power(int k) noexcept {
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FMT_ASSERT(k >= float_info<float>::min_k && k <= float_info<float>::max_k,
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"k is out of range");
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static constexpr const uint64_t pow10_significands[] = {
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0x81ceb32c4b43fcf5, 0xa2425ff75e14fc32, 0xcad2f7f5359a3b3f,
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0xfd87b5f28300ca0e, 0x9e74d1b791e07e49, 0xc612062576589ddb,
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0xf79687aed3eec552, 0x9abe14cd44753b53, 0xc16d9a0095928a28,
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0xf1c90080baf72cb2, 0x971da05074da7bef, 0xbce5086492111aeb,
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0xec1e4a7db69561a6, 0x9392ee8e921d5d08, 0xb877aa3236a4b44a,
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0xe69594bec44de15c, 0x901d7cf73ab0acda, 0xb424dc35095cd810,
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0xe12e13424bb40e14, 0x8cbccc096f5088cc, 0xafebff0bcb24aaff,
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0xdbe6fecebdedd5bf, 0x89705f4136b4a598, 0xabcc77118461cefd,
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0xd6bf94d5e57a42bd, 0x8637bd05af6c69b6, 0xa7c5ac471b478424,
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0xd1b71758e219652c, 0x83126e978d4fdf3c, 0xa3d70a3d70a3d70b,
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0xcccccccccccccccd, 0x8000000000000000, 0xa000000000000000,
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0xc800000000000000, 0xfa00000000000000, 0x9c40000000000000,
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0xc350000000000000, 0xf424000000000000, 0x9896800000000000,
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0xbebc200000000000, 0xee6b280000000000, 0x9502f90000000000,
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0xba43b74000000000, 0xe8d4a51000000000, 0x9184e72a00000000,
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0xb5e620f480000000, 0xe35fa931a0000000, 0x8e1bc9bf04000000,
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||
|
|
0xb1a2bc2ec5000000, 0xde0b6b3a76400000, 0x8ac7230489e80000,
|
||
|
|
0xad78ebc5ac620000, 0xd8d726b7177a8000, 0x878678326eac9000,
|
||
|
|
0xa968163f0a57b400, 0xd3c21bcecceda100, 0x84595161401484a0,
|
||
|
|
0xa56fa5b99019a5c8, 0xcecb8f27f4200f3a, 0x813f3978f8940985,
|
||
|
|
0xa18f07d736b90be6, 0xc9f2c9cd04674edf, 0xfc6f7c4045812297,
|
||
|
|
0x9dc5ada82b70b59e, 0xc5371912364ce306, 0xf684df56c3e01bc7,
|
||
|
|
0x9a130b963a6c115d, 0xc097ce7bc90715b4, 0xf0bdc21abb48db21,
|
||
|
|
0x96769950b50d88f5, 0xbc143fa4e250eb32, 0xeb194f8e1ae525fe,
|
||
|
|
0x92efd1b8d0cf37bf, 0xb7abc627050305ae, 0xe596b7b0c643c71a,
|
||
|
|
0x8f7e32ce7bea5c70, 0xb35dbf821ae4f38c, 0xe0352f62a19e306f};
|
||
|
|
return pow10_significands[k - float_info<float>::min_k];
|
||
|
|
}
|
||
|
|
|
||
|
|
struct compute_mul_result {
|
||
|
|
carrier_uint result;
|
||
|
|
bool is_integer;
|
||
|
|
};
|
||
|
|
struct compute_mul_parity_result {
|
||
|
|
bool parity;
|
||
|
|
bool is_integer;
|
||
|
|
};
|
||
|
|
|
||
|
|
static compute_mul_result compute_mul(
|
||
|
|
carrier_uint u, const cache_entry_type& cache) noexcept {
|
||
|
|
auto r = umul96_upper64(u, cache);
|
||
|
|
return {static_cast<carrier_uint>(r >> 32),
|
||
|
|
static_cast<carrier_uint>(r) == 0};
|
||
|
|
}
|
||
|
|
|
||
|
|
static uint32_t compute_delta(const cache_entry_type& cache,
|
||
|
|
int beta) noexcept {
|
||
|
|
return static_cast<uint32_t>(cache >> (64 - 1 - beta));
|
||
|
|
}
|
||
|
|
|
||
|
|
static compute_mul_parity_result compute_mul_parity(
|
||
|
|
carrier_uint two_f, const cache_entry_type& cache, int beta) noexcept {
|
||
|
|
FMT_ASSERT(beta >= 1, "");
|
||
|
|
FMT_ASSERT(beta < 64, "");
|
||
|
|
|
||
|
|
auto r = umul96_lower64(two_f, cache);
|
||
|
|
return {((r >> (64 - beta)) & 1) != 0,
|
||
|
|
static_cast<uint32_t>(r >> (32 - beta)) == 0};
|
||
|
|
}
|
||
|
|
|
||
|
|
static carrier_uint compute_left_endpoint_for_shorter_interval_case(
|
||
|
|
const cache_entry_type& cache, int beta) noexcept {
|
||
|
|
return static_cast<carrier_uint>(
|
||
|
|
(cache - (cache >> (num_significand_bits<float>() + 2))) >>
|
||
|
|
(64 - num_significand_bits<float>() - 1 - beta));
|
||
|
|
}
|
||
|
|
|
||
|
|
static carrier_uint compute_right_endpoint_for_shorter_interval_case(
|
||
|
|
const cache_entry_type& cache, int beta) noexcept {
|
||
|
|
return static_cast<carrier_uint>(
|
||
|
|
(cache + (cache >> (num_significand_bits<float>() + 1))) >>
|
||
|
|
(64 - num_significand_bits<float>() - 1 - beta));
|
||
|
|
}
|
||
|
|
|
||
|
|
static carrier_uint compute_round_up_for_shorter_interval_case(
|
||
|
|
const cache_entry_type& cache, int beta) noexcept {
|
||
|
|
return (static_cast<carrier_uint>(
|
||
|
|
cache >> (64 - num_significand_bits<float>() - 2 - beta)) +
|
||
|
|
1) /
|
||
|
|
2;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
template <> struct cache_accessor<double> {
|
||
|
|
using carrier_uint = float_info<double>::carrier_uint;
|
||
|
|
using cache_entry_type = uint128_fallback;
|
||
|
|
|
||
|
|
static uint128_fallback get_cached_power(int k) noexcept {
|
||
|
|
FMT_ASSERT(k >= float_info<double>::min_k && k <= float_info<double>::max_k,
|
||
|
|
"k is out of range");
|
||
|
|
|
||
|
|
static constexpr const uint128_fallback pow10_significands[] = {
|
||
|
|
#if FMT_USE_FULL_CACHE_DRAGONBOX
|
||
|
|
{0xff77b1fcbebcdc4f, 0x25e8e89c13bb0f7b},
|
||
|
|
{0x9faacf3df73609b1, 0x77b191618c54e9ad},
|
||
|
|
{0xc795830d75038c1d, 0xd59df5b9ef6a2418},
|
||
|
|
{0xf97ae3d0d2446f25, 0x4b0573286b44ad1e},
|
||
|
|
{0x9becce62836ac577, 0x4ee367f9430aec33},
|
||
|
|
{0xc2e801fb244576d5, 0x229c41f793cda740},
|
||
|
|
{0xf3a20279ed56d48a, 0x6b43527578c11110},
|
||
|
|
{0x9845418c345644d6, 0x830a13896b78aaaa},
|
||
|
|
{0xbe5691ef416bd60c, 0x23cc986bc656d554},
|
||
|
|
{0xedec366b11c6cb8f, 0x2cbfbe86b7ec8aa9},
|
||
|
|
{0x94b3a202eb1c3f39, 0x7bf7d71432f3d6aa},
|
||
|
|
{0xb9e08a83a5e34f07, 0xdaf5ccd93fb0cc54},
|
||
|
|
{0xe858ad248f5c22c9, 0xd1b3400f8f9cff69},
|
||
|
|
{0x91376c36d99995be, 0x23100809b9c21fa2},
|
||
|
|
{0xb58547448ffffb2d, 0xabd40a0c2832a78b},
|
||
|
|
{0xe2e69915b3fff9f9, 0x16c90c8f323f516d},
|
||
|
|
{0x8dd01fad907ffc3b, 0xae3da7d97f6792e4},
|
||
|
|
{0xb1442798f49ffb4a, 0x99cd11cfdf41779d},
|
||
|
|
{0xdd95317f31c7fa1d, 0x40405643d711d584},
|
||
|
|
{0x8a7d3eef7f1cfc52, 0x482835ea666b2573},
|
||
|
|
{0xad1c8eab5ee43b66, 0xda3243650005eed0},
|
||
|
|
{0xd863b256369d4a40, 0x90bed43e40076a83},
|
||
|
|
{0x873e4f75e2224e68, 0x5a7744a6e804a292},
|
||
|
|
{0xa90de3535aaae202, 0x711515d0a205cb37},
|
||
|
|
{0xd3515c2831559a83, 0x0d5a5b44ca873e04},
|
||
|
|
{0x8412d9991ed58091, 0xe858790afe9486c3},
|
||
|
|
{0xa5178fff668ae0b6, 0x626e974dbe39a873},
|
||
|
|
{0xce5d73ff402d98e3, 0xfb0a3d212dc81290},
|
||
|
|
{0x80fa687f881c7f8e, 0x7ce66634bc9d0b9a},
|
||
|
|
{0xa139029f6a239f72, 0x1c1fffc1ebc44e81},
|
||
|
|
{0xc987434744ac874e, 0xa327ffb266b56221},
|
||
|
|
{0xfbe9141915d7a922, 0x4bf1ff9f0062baa9},
|
||
|
|
{0x9d71ac8fada6c9b5, 0x6f773fc3603db4aa},
|
||
|
|
{0xc4ce17b399107c22, 0xcb550fb4384d21d4},
|
||
|
|
{0xf6019da07f549b2b, 0x7e2a53a146606a49},
|
||
|
|
{0x99c102844f94e0fb, 0x2eda7444cbfc426e},
|
||
|
|
{0xc0314325637a1939, 0xfa911155fefb5309},
|
||
|
|
{0xf03d93eebc589f88, 0x793555ab7eba27cb},
|
||
|
|
{0x96267c7535b763b5, 0x4bc1558b2f3458df},
|
||
|
|
{0xbbb01b9283253ca2, 0x9eb1aaedfb016f17},
|
||
|
|
{0xea9c227723ee8bcb, 0x465e15a979c1cadd},
|
||
|
|
{0x92a1958a7675175f, 0x0bfacd89ec191eca},
|
||
|
|
{0xb749faed14125d36, 0xcef980ec671f667c},
|
||
|
|
{0xe51c79a85916f484, 0x82b7e12780e7401b},
|
||
|
|
{0x8f31cc0937ae58d2, 0xd1b2ecb8b0908811},
|
||
|
|
{0xb2fe3f0b8599ef07, 0x861fa7e6dcb4aa16},
|
||
|
|
{0xdfbdcece67006ac9, 0x67a791e093e1d49b},
|
||
|
|
{0x8bd6a141006042bd, 0xe0c8bb2c5c6d24e1},
|
||
|
|
{0xaecc49914078536d, 0x58fae9f773886e19},
|
||
|
|
{0xda7f5bf590966848, 0xaf39a475506a899f},
|
||
|
|
{0x888f99797a5e012d, 0x6d8406c952429604},
|
||
|
|
{0xaab37fd7d8f58178, 0xc8e5087ba6d33b84},
|
||
|
|
{0xd5605fcdcf32e1d6, 0xfb1e4a9a90880a65},
|
||
|
|
{0x855c3be0a17fcd26, 0x5cf2eea09a550680},
|
||
|
|
{0xa6b34ad8c9dfc06f, 0xf42faa48c0ea481f},
|
||
|
|
{0xd0601d8efc57b08b, 0xf13b94daf124da27},
|
||
|
|
{0x823c12795db6ce57, 0x76c53d08d6b70859},
|
||
|
|
{0xa2cb1717b52481ed, 0x54768c4b0c64ca6f},
|
||
|
|
{0xcb7ddcdda26da268, 0xa9942f5dcf7dfd0a},
|
||
|
|
{0xfe5d54150b090b02, 0xd3f93b35435d7c4d},
|
||
|
|
{0x9efa548d26e5a6e1, 0xc47bc5014a1a6db0},
|
||
|
|
{0xc6b8e9b0709f109a, 0x359ab6419ca1091c},
|
||
|
|
{0xf867241c8cc6d4c0, 0xc30163d203c94b63},
|
||
|
|
{0x9b407691d7fc44f8, 0x79e0de63425dcf1e},
|
||
|
|
{0xc21094364dfb5636, 0x985915fc12f542e5},
|
||
|
|
{0xf294b943e17a2bc4, 0x3e6f5b7b17b2939e},
|
||
|
|
{0x979cf3ca6cec5b5a, 0xa705992ceecf9c43},
|
||
|
|
{0xbd8430bd08277231, 0x50c6ff782a838354},
|
||
|
|
{0xece53cec4a314ebd, 0xa4f8bf5635246429},
|
||
|
|
{0x940f4613ae5ed136, 0x871b7795e136be9a},
|
||
|
|
{0xb913179899f68584, 0x28e2557b59846e40},
|
||
|
|
{0xe757dd7ec07426e5, 0x331aeada2fe589d0},
|
||
|
|
{0x9096ea6f3848984f, 0x3ff0d2c85def7622},
|
||
|
|
{0xb4bca50b065abe63, 0x0fed077a756b53aa},
|
||
|
|
{0xe1ebce4dc7f16dfb, 0xd3e8495912c62895},
|
||
|
|
{0x8d3360f09cf6e4bd, 0x64712dd7abbbd95d},
|
||
|
|
{0xb080392cc4349dec, 0xbd8d794d96aacfb4},
|
||
|
|
{0xdca04777f541c567, 0xecf0d7a0fc5583a1},
|
||
|
|
{0x89e42caaf9491b60, 0xf41686c49db57245},
|
||
|
|
{0xac5d37d5b79b6239, 0x311c2875c522ced6},
|
||
|
|
{0xd77485cb25823ac7, 0x7d633293366b828c},
|
||
|
|
{0x86a8d39ef77164bc, 0xae5dff9c02033198},
|
||
|
|
{0xa8530886b54dbdeb, 0xd9f57f830283fdfd},
|
||
|
|
{0xd267caa862a12d66, 0xd072df63c324fd7c},
|
||
|
|
{0x8380dea93da4bc60, 0x4247cb9e59f71e6e},
|
||
|
|
{0xa46116538d0deb78, 0x52d9be85f074e609},
|
||
|
|
{0xcd795be870516656, 0x67902e276c921f8c},
|
||
|
|
{0x806bd9714632dff6, 0x00ba1cd8a3db53b7},
|
||
|
|
{0xa086cfcd97bf97f3, 0x80e8a40eccd228a5},
|
||
|
|
{0xc8a883c0fdaf7df0, 0x6122cd128006b2ce},
|
||
|
|
{0xfad2a4b13d1b5d6c, 0x796b805720085f82},
|
||
|
|
{0x9cc3a6eec6311a63, 0xcbe3303674053bb1},
|
||
|
|
{0xc3f490aa77bd60fc, 0xbedbfc4411068a9d},
|
||
|
|
{0xf4f1b4d515acb93b, 0xee92fb5515482d45},
|
||
|
|
{0x991711052d8bf3c5, 0x751bdd152d4d1c4b},
|
||
|
|
{0xbf5cd54678eef0b6, 0xd262d45a78a0635e},
|
||
|
|
{0xef340a98172aace4, 0x86fb897116c87c35},
|
||
|
|
{0x9580869f0e7aac0e, 0xd45d35e6ae3d4da1},
|
||
|
|
{0xbae0a846d2195712, 0x8974836059cca10a},
|
||
|
|
{0xe998d258869facd7, 0x2bd1a438703fc94c},
|
||
|
|
{0x91ff83775423cc06, 0x7b6306a34627ddd0},
|
||
|
|
{0xb67f6455292cbf08, 0x1a3bc84c17b1d543},
|
||
|
|
{0xe41f3d6a7377eeca, 0x20caba5f1d9e4a94},
|
||
|
|
{0x8e938662882af53e, 0x547eb47b7282ee9d},
|
||
|
|
{0xb23867fb2a35b28d, 0xe99e619a4f23aa44},
|
||
|
|
{0xdec681f9f4c31f31, 0x6405fa00e2ec94d5},
|
||
|
|
{0x8b3c113c38f9f37e, 0xde83bc408dd3dd05},
|
||
|
|
{0xae0b158b4738705e, 0x9624ab50b148d446},
|
||
|
|
{0xd98ddaee19068c76, 0x3badd624dd9b0958},
|
||
|
|
{0x87f8a8d4cfa417c9, 0xe54ca5d70a80e5d7},
|
||
|
|
{0xa9f6d30a038d1dbc, 0x5e9fcf4ccd211f4d},
|
||
|
|
{0xd47487cc8470652b, 0x7647c32000696720},
|
||
|
|
{0x84c8d4dfd2c63f3b, 0x29ecd9f40041e074},
|
||
|
|
{0xa5fb0a17c777cf09, 0xf468107100525891},
|
||
|
|
{0xcf79cc9db955c2cc, 0x7182148d4066eeb5},
|
||
|
|
{0x81ac1fe293d599bf, 0xc6f14cd848405531},
|
||
|
|
{0xa21727db38cb002f, 0xb8ada00e5a506a7d},
|
||
|
|
{0xca9cf1d206fdc03b, 0xa6d90811f0e4851d},
|
||
|
|
{0xfd442e4688bd304a, 0x908f4a166d1da664},
|
||
|
|
{0x9e4a9cec15763e2e, 0x9a598e4e043287ff},
|
||
|
|
{0xc5dd44271ad3cdba, 0x40eff1e1853f29fe},
|
||
|
|
{0xf7549530e188c128, 0xd12bee59e68ef47d},
|
||
|
|
{0x9a94dd3e8cf578b9, 0x82bb74f8301958cf},
|
||
|
|
{0xc13a148e3032d6e7, 0xe36a52363c1faf02},
|
||
|
|
{0xf18899b1bc3f8ca1, 0xdc44e6c3cb279ac2},
|
||
|
|
{0x96f5600f15a7b7e5, 0x29ab103a5ef8c0ba},
|
||
|
|
{0xbcb2b812db11a5de, 0x7415d448f6b6f0e8},
|
||
|
|
{0xebdf661791d60f56, 0x111b495b3464ad22},
|
||
|
|
{0x936b9fcebb25c995, 0xcab10dd900beec35},
|
||
|
|
{0xb84687c269ef3bfb, 0x3d5d514f40eea743},
|
||
|
|
{0xe65829b3046b0afa, 0x0cb4a5a3112a5113},
|
||
|
|
{0x8ff71a0fe2c2e6dc, 0x47f0e785eaba72ac},
|
||
|
|
{0xb3f4e093db73a093, 0x59ed216765690f57},
|
||
|
|
{0xe0f218b8d25088b8, 0x306869c13ec3532d},
|
||
|
|
{0x8c974f7383725573, 0x1e414218c73a13fc},
|
||
|
|
{0xafbd2350644eeacf, 0xe5d1929ef90898fb},
|
||
|
|
{0xdbac6c247d62a583, 0xdf45f746b74abf3a},
|
||
|
|
{0x894bc396ce5da772, 0x6b8bba8c328eb784},
|
||
|
|
{0xab9eb47c81f5114f, 0x066ea92f3f326565},
|
||
|
|
{0xd686619ba27255a2, 0xc80a537b0efefebe},
|
||
|
|
{0x8613fd0145877585, 0xbd06742ce95f5f37},
|
||
|
|
{0xa798fc4196e952e7, 0x2c48113823b73705},
|
||
|
|
{0xd17f3b51fca3a7a0, 0xf75a15862ca504c6},
|
||
|
|
{0x82ef85133de648c4, 0x9a984d73dbe722fc},
|
||
|
|
{0xa3ab66580d5fdaf5, 0xc13e60d0d2e0ebbb},
|
||
|
|
{0xcc963fee10b7d1b3, 0x318df905079926a9},
|
||
|
|
{0xffbbcfe994e5c61f, 0xfdf17746497f7053},
|
||
|
|
{0x9fd561f1fd0f9bd3, 0xfeb6ea8bedefa634},
|
||
|
|
{0xc7caba6e7c5382c8, 0xfe64a52ee96b8fc1},
|
||
|
|
{0xf9bd690a1b68637b, 0x3dfdce7aa3c673b1},
|
||
|
|
{0x9c1661a651213e2d, 0x06bea10ca65c084f},
|
||
|
|
{0xc31bfa0fe5698db8, 0x486e494fcff30a63},
|
||
|
|
{0xf3e2f893dec3f126, 0x5a89dba3c3efccfb},
|
||
|
|
{0x986ddb5c6b3a76b7, 0xf89629465a75e01d},
|
||
|
|
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|
|
{0xdc5c5301c56b75f7, 0x7641a140cc7810fc},
|
||
|
|
{0x89b9b3e11b6329ba, 0xa9e904c87fcb0a9e},
|
||
|
|
{0xac2820d9623bf429, 0x546345fa9fbdcd45},
|
||
|
|
{0xd732290fbacaf133, 0xa97c177947ad4096},
|
||
|
|
{0x867f59a9d4bed6c0, 0x49ed8eabcccc485e},
|
||
|
|
{0xa81f301449ee8c70, 0x5c68f256bfff5a75},
|
||
|
|
{0xd226fc195c6a2f8c, 0x73832eec6fff3112},
|
||
|
|
{0x83585d8fd9c25db7, 0xc831fd53c5ff7eac},
|
||
|
|
{0xa42e74f3d032f525, 0xba3e7ca8b77f5e56},
|
||
|
|
{0xcd3a1230c43fb26f, 0x28ce1bd2e55f35ec},
|
||
|
|
{0x80444b5e7aa7cf85, 0x7980d163cf5b81b4},
|
||
|
|
{0xa0555e361951c366, 0xd7e105bcc3326220},
|
||
|
|
{0xc86ab5c39fa63440, 0x8dd9472bf3fefaa8},
|
||
|
|
{0xfa856334878fc150, 0xb14f98f6f0feb952},
|
||
|
|
{0x9c935e00d4b9d8d2, 0x6ed1bf9a569f33d4},
|
||
|
|
{0xc3b8358109e84f07, 0x0a862f80ec4700c9},
|
||
|
|
{0xf4a642e14c6262c8, 0xcd27bb612758c0fb},
|
||
|
|
{0x98e7e9cccfbd7dbd, 0x8038d51cb897789d},
|
||
|
|
{0xbf21e44003acdd2c, 0xe0470a63e6bd56c4},
|
||
|
|
{0xeeea5d5004981478, 0x1858ccfce06cac75},
|
||
|
|
{0x95527a5202df0ccb, 0x0f37801e0c43ebc9},
|
||
|
|
{0xbaa718e68396cffd, 0xd30560258f54e6bb},
|
||
|
|
{0xe950df20247c83fd, 0x47c6b82ef32a206a},
|
||
|
|
{0x91d28b7416cdd27e, 0x4cdc331d57fa5442},
|
||
|
|
{0xb6472e511c81471d, 0xe0133fe4adf8e953},
|
||
|
|
{0xe3d8f9e563a198e5, 0x58180fddd97723a7},
|
||
|
|
{0x8e679c2f5e44ff8f, 0x570f09eaa7ea7649},
|
||
|
|
{0xb201833b35d63f73, 0x2cd2cc6551e513db},
|
||
|
|
{0xde81e40a034bcf4f, 0xf8077f7ea65e58d2},
|
||
|
|
{0x8b112e86420f6191, 0xfb04afaf27faf783},
|
||
|
|
{0xadd57a27d29339f6, 0x79c5db9af1f9b564},
|
||
|
|
{0xd94ad8b1c7380874, 0x18375281ae7822bd},
|
||
|
|
{0x87cec76f1c830548, 0x8f2293910d0b15b6},
|
||
|
|
{0xa9c2794ae3a3c69a, 0xb2eb3875504ddb23},
|
||
|
|
{0xd433179d9c8cb841, 0x5fa60692a46151ec},
|
||
|
|
{0x849feec281d7f328, 0xdbc7c41ba6bcd334},
|
||
|
|
{0xa5c7ea73224deff3, 0x12b9b522906c0801},
|
||
|
|
{0xcf39e50feae16bef, 0xd768226b34870a01},
|
||
|
|
{0x81842f29f2cce375, 0xe6a1158300d46641},
|
||
|
|
{0xa1e53af46f801c53, 0x60495ae3c1097fd1},
|
||
|
|
{0xca5e89b18b602368, 0x385bb19cb14bdfc5},
|
||
|
|
{0xfcf62c1dee382c42, 0x46729e03dd9ed7b6},
|
||
|
|
{0x9e19db92b4e31ba9, 0x6c07a2c26a8346d2},
|
||
|
|
{0xc5a05277621be293, 0xc7098b7305241886},
|
||
|
|
{ 0xf70867153aa2db38,
|
||
|
|
0xb8cbee4fc66d1ea8 }
|
||
|
|
#else
|
||
|
|
{0xff77b1fcbebcdc4f, 0x25e8e89c13bb0f7b},
|
||
|
|
{0xce5d73ff402d98e3, 0xfb0a3d212dc81290},
|
||
|
|
{0xa6b34ad8c9dfc06f, 0xf42faa48c0ea481f},
|
||
|
|
{0x86a8d39ef77164bc, 0xae5dff9c02033198},
|
||
|
|
{0xd98ddaee19068c76, 0x3badd624dd9b0958},
|
||
|
|
{0xafbd2350644eeacf, 0xe5d1929ef90898fb},
|
||
|
|
{0x8df5efabc5979c8f, 0xca8d3ffa1ef463c2},
|
||
|
|
{0xe55990879ddcaabd, 0xcc420a6a101d0516},
|
||
|
|
{0xb94470938fa89bce, 0xf808e40e8d5b3e6a},
|
||
|
|
{0x95a8637627989aad, 0xdde7001379a44aa9},
|
||
|
|
{0xf1c90080baf72cb1, 0x5324c68b12dd6339},
|
||
|
|
{0xc350000000000000, 0x0000000000000000},
|
||
|
|
{0x9dc5ada82b70b59d, 0xf020000000000000},
|
||
|
|
{0xfee50b7025c36a08, 0x02f236d04753d5b5},
|
||
|
|
{0xcde6fd5e09abcf26, 0xed4c0226b55e6f87},
|
||
|
|
{0xa6539930bf6bff45, 0x84db8346b786151d},
|
||
|
|
{0x865b86925b9bc5c2, 0x0b8a2392ba45a9b3},
|
||
|
|
{0xd910f7ff28069da4, 0x1b2ba1518094da05},
|
||
|
|
{0xaf58416654a6babb, 0x387ac8d1970027b3},
|
||
|
|
{0x8da471a9de737e24, 0x5ceaecfed289e5d3},
|
||
|
|
{0xe4d5e82392a40515, 0x0fabaf3feaa5334b},
|
||
|
|
{0xb8da1662e7b00a17, 0x3d6a751f3b936244},
|
||
|
|
{ 0x95527a5202df0ccb,
|
||
|
|
0x0f37801e0c43ebc9 }
|
||
|
|
#endif
|
||
|
|
};
|
||
|
|
|
||
|
|
#if FMT_USE_FULL_CACHE_DRAGONBOX
|
||
|
|
return pow10_significands[k - float_info<double>::min_k];
|
||
|
|
#else
|
||
|
|
static constexpr const uint64_t powers_of_5_64[] = {
|
||
|
|
0x0000000000000001, 0x0000000000000005, 0x0000000000000019,
|
||
|
|
0x000000000000007d, 0x0000000000000271, 0x0000000000000c35,
|
||
|
|
0x0000000000003d09, 0x000000000001312d, 0x000000000005f5e1,
|
||
|
|
0x00000000001dcd65, 0x00000000009502f9, 0x0000000002e90edd,
|
||
|
|
0x000000000e8d4a51, 0x0000000048c27395, 0x000000016bcc41e9,
|
||
|
|
0x000000071afd498d, 0x0000002386f26fc1, 0x000000b1a2bc2ec5,
|
||
|
|
0x000003782dace9d9, 0x00001158e460913d, 0x000056bc75e2d631,
|
||
|
|
0x0001b1ae4d6e2ef5, 0x000878678326eac9, 0x002a5a058fc295ed,
|
||
|
|
0x00d3c21bcecceda1, 0x0422ca8b0a00a425, 0x14adf4b7320334b9};
|
||
|
|
|
||
|
|
static const int compression_ratio = 27;
|
||
|
|
|
||
|
|
// Compute base index.
|
||
|
|
int cache_index = (k - float_info<double>::min_k) / compression_ratio;
|
||
|
|
int kb = cache_index * compression_ratio + float_info<double>::min_k;
|
||
|
|
int offset = k - kb;
|
||
|
|
|
||
|
|
// Get base cache.
|
||
|
|
uint128_fallback base_cache = pow10_significands[cache_index];
|
||
|
|
if (offset == 0) return base_cache;
|
||
|
|
|
||
|
|
// Compute the required amount of bit-shift.
|
||
|
|
int alpha = floor_log2_pow10(kb + offset) - floor_log2_pow10(kb) - offset;
|
||
|
|
FMT_ASSERT(alpha > 0 && alpha < 64, "shifting error detected");
|
||
|
|
|
||
|
|
// Try to recover the real cache.
|
||
|
|
uint64_t pow5 = powers_of_5_64[offset];
|
||
|
|
uint128_fallback recovered_cache = umul128(base_cache.high(), pow5);
|
||
|
|
uint128_fallback middle_low = umul128(base_cache.low(), pow5);
|
||
|
|
|
||
|
|
recovered_cache += middle_low.high();
|
||
|
|
|
||
|
|
uint64_t high_to_middle = recovered_cache.high() << (64 - alpha);
|
||
|
|
uint64_t middle_to_low = recovered_cache.low() << (64 - alpha);
|
||
|
|
|
||
|
|
recovered_cache =
|
||
|
|
uint128_fallback{(recovered_cache.low() >> alpha) | high_to_middle,
|
||
|
|
((middle_low.low() >> alpha) | middle_to_low)};
|
||
|
|
FMT_ASSERT(recovered_cache.low() + 1 != 0, "");
|
||
|
|
return {recovered_cache.high(), recovered_cache.low() + 1};
|
||
|
|
#endif
|
||
|
|
}
|
||
|
|
|
||
|
|
struct compute_mul_result {
|
||
|
|
carrier_uint result;
|
||
|
|
bool is_integer;
|
||
|
|
};
|
||
|
|
struct compute_mul_parity_result {
|
||
|
|
bool parity;
|
||
|
|
bool is_integer;
|
||
|
|
};
|
||
|
|
|
||
|
|
static compute_mul_result compute_mul(
|
||
|
|
carrier_uint u, const cache_entry_type& cache) noexcept {
|
||
|
|
auto r = umul192_upper128(u, cache);
|
||
|
|
return {r.high(), r.low() == 0};
|
||
|
|
}
|
||
|
|
|
||
|
|
static uint32_t compute_delta(cache_entry_type const& cache,
|
||
|
|
int beta) noexcept {
|
||
|
|
return static_cast<uint32_t>(cache.high() >> (64 - 1 - beta));
|
||
|
|
}
|
||
|
|
|
||
|
|
static compute_mul_parity_result compute_mul_parity(
|
||
|
|
carrier_uint two_f, const cache_entry_type& cache, int beta) noexcept {
|
||
|
|
FMT_ASSERT(beta >= 1, "");
|
||
|
|
FMT_ASSERT(beta < 64, "");
|
||
|
|
|
||
|
|
auto r = umul192_lower128(two_f, cache);
|
||
|
|
return {((r.high() >> (64 - beta)) & 1) != 0,
|
||
|
|
((r.high() << beta) | (r.low() >> (64 - beta))) == 0};
|
||
|
|
}
|
||
|
|
|
||
|
|
static carrier_uint compute_left_endpoint_for_shorter_interval_case(
|
||
|
|
const cache_entry_type& cache, int beta) noexcept {
|
||
|
|
return (cache.high() -
|
||
|
|
(cache.high() >> (num_significand_bits<double>() + 2))) >>
|
||
|
|
(64 - num_significand_bits<double>() - 1 - beta);
|
||
|
|
}
|
||
|
|
|
||
|
|
static carrier_uint compute_right_endpoint_for_shorter_interval_case(
|
||
|
|
const cache_entry_type& cache, int beta) noexcept {
|
||
|
|
return (cache.high() +
|
||
|
|
(cache.high() >> (num_significand_bits<double>() + 1))) >>
|
||
|
|
(64 - num_significand_bits<double>() - 1 - beta);
|
||
|
|
}
|
||
|
|
|
||
|
|
static carrier_uint compute_round_up_for_shorter_interval_case(
|
||
|
|
const cache_entry_type& cache, int beta) noexcept {
|
||
|
|
return ((cache.high() >> (64 - num_significand_bits<double>() - 2 - beta)) +
|
||
|
|
1) /
|
||
|
|
2;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
// Various integer checks
|
||
|
|
template <class T>
|
||
|
|
bool is_left_endpoint_integer_shorter_interval(int exponent) noexcept {
|
||
|
|
const int case_shorter_interval_left_endpoint_lower_threshold = 2;
|
||
|
|
const int case_shorter_interval_left_endpoint_upper_threshold = 3;
|
||
|
|
return exponent >= case_shorter_interval_left_endpoint_lower_threshold &&
|
||
|
|
exponent <= case_shorter_interval_left_endpoint_upper_threshold;
|
||
|
|
}
|
||
|
|
|
||
|
|
// Remove trailing zeros from n and return the number of zeros removed (float)
|
||
|
|
FMT_INLINE int remove_trailing_zeros(uint32_t& n) noexcept {
|
||
|
|
FMT_ASSERT(n != 0, "");
|
||
|
|
const uint32_t mod_inv_5 = 0xcccccccd;
|
||
|
|
const uint32_t mod_inv_25 = mod_inv_5 * mod_inv_5;
|
||
|
|
|
||
|
|
int s = 0;
|
||
|
|
while (true) {
|
||
|
|
auto q = rotr(n * mod_inv_25, 2);
|
||
|
|
if (q > max_value<uint32_t>() / 100) break;
|
||
|
|
n = q;
|
||
|
|
s += 2;
|
||
|
|
}
|
||
|
|
auto q = rotr(n * mod_inv_5, 1);
|
||
|
|
if (q <= max_value<uint32_t>() / 10) {
|
||
|
|
n = q;
|
||
|
|
s |= 1;
|
||
|
|
}
|
||
|
|
|
||
|
|
return s;
|
||
|
|
}
|
||
|
|
|
||
|
|
// Removes trailing zeros and returns the number of zeros removed (double)
|
||
|
|
FMT_INLINE int remove_trailing_zeros(uint64_t& n) noexcept {
|
||
|
|
FMT_ASSERT(n != 0, "");
|
||
|
|
|
||
|
|
// This magic number is ceil(2^90 / 10^8).
|
||
|
|
constexpr uint64_t magic_number = 12379400392853802749ull;
|
||
|
|
auto nm = umul128(n, magic_number);
|
||
|
|
|
||
|
|
// Is n is divisible by 10^8?
|
||
|
|
if ((nm.high() & ((1ull << (90 - 64)) - 1)) == 0 && nm.low() < magic_number) {
|
||
|
|
// If yes, work with the quotient.
|
||
|
|
auto n32 = static_cast<uint32_t>(nm.high() >> (90 - 64));
|
||
|
|
|
||
|
|
const uint32_t mod_inv_5 = 0xcccccccd;
|
||
|
|
const uint32_t mod_inv_25 = mod_inv_5 * mod_inv_5;
|
||
|
|
|
||
|
|
int s = 8;
|
||
|
|
while (true) {
|
||
|
|
auto q = rotr(n32 * mod_inv_25, 2);
|
||
|
|
if (q > max_value<uint32_t>() / 100) break;
|
||
|
|
n32 = q;
|
||
|
|
s += 2;
|
||
|
|
}
|
||
|
|
auto q = rotr(n32 * mod_inv_5, 1);
|
||
|
|
if (q <= max_value<uint32_t>() / 10) {
|
||
|
|
n32 = q;
|
||
|
|
s |= 1;
|
||
|
|
}
|
||
|
|
|
||
|
|
n = n32;
|
||
|
|
return s;
|
||
|
|
}
|
||
|
|
|
||
|
|
// If n is not divisible by 10^8, work with n itself.
|
||
|
|
const uint64_t mod_inv_5 = 0xcccccccccccccccd;
|
||
|
|
const uint64_t mod_inv_25 = mod_inv_5 * mod_inv_5;
|
||
|
|
|
||
|
|
int s = 0;
|
||
|
|
while (true) {
|
||
|
|
auto q = rotr(n * mod_inv_25, 2);
|
||
|
|
if (q > max_value<uint64_t>() / 100) break;
|
||
|
|
n = q;
|
||
|
|
s += 2;
|
||
|
|
}
|
||
|
|
auto q = rotr(n * mod_inv_5, 1);
|
||
|
|
if (q <= max_value<uint64_t>() / 10) {
|
||
|
|
n = q;
|
||
|
|
s |= 1;
|
||
|
|
}
|
||
|
|
|
||
|
|
return s;
|
||
|
|
}
|
||
|
|
|
||
|
|
// The main algorithm for shorter interval case
|
||
|
|
template <class T>
|
||
|
|
FMT_INLINE decimal_fp<T> shorter_interval_case(int exponent) noexcept {
|
||
|
|
decimal_fp<T> ret_value;
|
||
|
|
// Compute k and beta
|
||
|
|
const int minus_k = floor_log10_pow2_minus_log10_4_over_3(exponent);
|
||
|
|
const int beta = exponent + floor_log2_pow10(-minus_k);
|
||
|
|
|
||
|
|
// Compute xi and zi
|
||
|
|
using cache_entry_type = typename cache_accessor<T>::cache_entry_type;
|
||
|
|
const cache_entry_type cache = cache_accessor<T>::get_cached_power(-minus_k);
|
||
|
|
|
||
|
|
auto xi = cache_accessor<T>::compute_left_endpoint_for_shorter_interval_case(
|
||
|
|
cache, beta);
|
||
|
|
auto zi = cache_accessor<T>::compute_right_endpoint_for_shorter_interval_case(
|
||
|
|
cache, beta);
|
||
|
|
|
||
|
|
// If the left endpoint is not an integer, increase it
|
||
|
|
if (!is_left_endpoint_integer_shorter_interval<T>(exponent)) ++xi;
|
||
|
|
|
||
|
|
// Try bigger divisor
|
||
|
|
ret_value.significand = zi / 10;
|
||
|
|
|
||
|
|
// If succeed, remove trailing zeros if necessary and return
|
||
|
|
if (ret_value.significand * 10 >= xi) {
|
||
|
|
ret_value.exponent = minus_k + 1;
|
||
|
|
ret_value.exponent += remove_trailing_zeros(ret_value.significand);
|
||
|
|
return ret_value;
|
||
|
|
}
|
||
|
|
|
||
|
|
// Otherwise, compute the round-up of y
|
||
|
|
ret_value.significand =
|
||
|
|
cache_accessor<T>::compute_round_up_for_shorter_interval_case(cache,
|
||
|
|
beta);
|
||
|
|
ret_value.exponent = minus_k;
|
||
|
|
|
||
|
|
// When tie occurs, choose one of them according to the rule
|
||
|
|
if (exponent >= float_info<T>::shorter_interval_tie_lower_threshold &&
|
||
|
|
exponent <= float_info<T>::shorter_interval_tie_upper_threshold) {
|
||
|
|
ret_value.significand = ret_value.significand % 2 == 0
|
||
|
|
? ret_value.significand
|
||
|
|
: ret_value.significand - 1;
|
||
|
|
} else if (ret_value.significand < xi) {
|
||
|
|
++ret_value.significand;
|
||
|
|
}
|
||
|
|
return ret_value;
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename T> decimal_fp<T> to_decimal(T x) noexcept {
|
||
|
|
// Step 1: integer promotion & Schubfach multiplier calculation.
|
||
|
|
|
||
|
|
using carrier_uint = typename float_info<T>::carrier_uint;
|
||
|
|
using cache_entry_type = typename cache_accessor<T>::cache_entry_type;
|
||
|
|
auto br = bit_cast<carrier_uint>(x);
|
||
|
|
|
||
|
|
// Extract significand bits and exponent bits.
|
||
|
|
const carrier_uint significand_mask =
|
||
|
|
(static_cast<carrier_uint>(1) << num_significand_bits<T>()) - 1;
|
||
|
|
carrier_uint significand = (br & significand_mask);
|
||
|
|
int exponent =
|
||
|
|
static_cast<int>((br & exponent_mask<T>()) >> num_significand_bits<T>());
|
||
|
|
|
||
|
|
if (exponent != 0) { // Check if normal.
|
||
|
|
exponent -= exponent_bias<T>() + num_significand_bits<T>();
|
||
|
|
|
||
|
|
// Shorter interval case; proceed like Schubfach.
|
||
|
|
// In fact, when exponent == 1 and significand == 0, the interval is
|
||
|
|
// regular. However, it can be shown that the end-results are anyway same.
|
||
|
|
if (significand == 0) return shorter_interval_case<T>(exponent);
|
||
|
|
|
||
|
|
significand |= (static_cast<carrier_uint>(1) << num_significand_bits<T>());
|
||
|
|
} else {
|
||
|
|
// Subnormal case; the interval is always regular.
|
||
|
|
if (significand == 0) return {0, 0};
|
||
|
|
exponent =
|
||
|
|
std::numeric_limits<T>::min_exponent - num_significand_bits<T>() - 1;
|
||
|
|
}
|
||
|
|
|
||
|
|
const bool include_left_endpoint = (significand % 2 == 0);
|
||
|
|
const bool include_right_endpoint = include_left_endpoint;
|
||
|
|
|
||
|
|
// Compute k and beta.
|
||
|
|
const int minus_k = floor_log10_pow2(exponent) - float_info<T>::kappa;
|
||
|
|
const cache_entry_type cache = cache_accessor<T>::get_cached_power(-minus_k);
|
||
|
|
const int beta = exponent + floor_log2_pow10(-minus_k);
|
||
|
|
|
||
|
|
// Compute zi and deltai.
|
||
|
|
// 10^kappa <= deltai < 10^(kappa + 1)
|
||
|
|
const uint32_t deltai = cache_accessor<T>::compute_delta(cache, beta);
|
||
|
|
const carrier_uint two_fc = significand << 1;
|
||
|
|
|
||
|
|
// For the case of binary32, the result of integer check is not correct for
|
||
|
|
// 29711844 * 2^-82
|
||
|
|
// = 6.1442653300000000008655037797566933477355632930994033813476... * 10^-18
|
||
|
|
// and 29711844 * 2^-81
|
||
|
|
// = 1.2288530660000000001731007559513386695471126586198806762695... * 10^-17,
|
||
|
|
// and they are the unique counterexamples. However, since 29711844 is even,
|
||
|
|
// this does not cause any problem for the endpoints calculations; it can only
|
||
|
|
// cause a problem when we need to perform integer check for the center.
|
||
|
|
// Fortunately, with these inputs, that branch is never executed, so we are
|
||
|
|
// fine.
|
||
|
|
const typename cache_accessor<T>::compute_mul_result z_mul =
|
||
|
|
cache_accessor<T>::compute_mul((two_fc | 1) << beta, cache);
|
||
|
|
|
||
|
|
// Step 2: Try larger divisor; remove trailing zeros if necessary.
|
||
|
|
|
||
|
|
// Using an upper bound on zi, we might be able to optimize the division
|
||
|
|
// better than the compiler; we are computing zi / big_divisor here.
|
||
|
|
decimal_fp<T> ret_value;
|
||
|
|
ret_value.significand = divide_by_10_to_kappa_plus_1(z_mul.result);
|
||
|
|
uint32_t r = static_cast<uint32_t>(z_mul.result - float_info<T>::big_divisor *
|
||
|
|
ret_value.significand);
|
||
|
|
|
||
|
|
if (r < deltai) {
|
||
|
|
// Exclude the right endpoint if necessary.
|
||
|
|
if (r == 0 && (z_mul.is_integer & !include_right_endpoint)) {
|
||
|
|
--ret_value.significand;
|
||
|
|
r = float_info<T>::big_divisor;
|
||
|
|
goto small_divisor_case_label;
|
||
|
|
}
|
||
|
|
} else if (r > deltai) {
|
||
|
|
goto small_divisor_case_label;
|
||
|
|
} else {
|
||
|
|
// r == deltai; compare fractional parts.
|
||
|
|
const typename cache_accessor<T>::compute_mul_parity_result x_mul =
|
||
|
|
cache_accessor<T>::compute_mul_parity(two_fc - 1, cache, beta);
|
||
|
|
|
||
|
|
if (!(x_mul.parity | (x_mul.is_integer & include_left_endpoint)))
|
||
|
|
goto small_divisor_case_label;
|
||
|
|
}
|
||
|
|
ret_value.exponent = minus_k + float_info<T>::kappa + 1;
|
||
|
|
|
||
|
|
// We may need to remove trailing zeros.
|
||
|
|
ret_value.exponent += remove_trailing_zeros(ret_value.significand);
|
||
|
|
return ret_value;
|
||
|
|
|
||
|
|
// Step 3: Find the significand with the smaller divisor.
|
||
|
|
|
||
|
|
small_divisor_case_label:
|
||
|
|
ret_value.significand *= 10;
|
||
|
|
ret_value.exponent = minus_k + float_info<T>::kappa;
|
||
|
|
|
||
|
|
uint32_t dist = r - (deltai / 2) + (float_info<T>::small_divisor / 2);
|
||
|
|
const bool approx_y_parity =
|
||
|
|
((dist ^ (float_info<T>::small_divisor / 2)) & 1) != 0;
|
||
|
|
|
||
|
|
// Is dist divisible by 10^kappa?
|
||
|
|
const bool divisible_by_small_divisor =
|
||
|
|
check_divisibility_and_divide_by_pow10<float_info<T>::kappa>(dist);
|
||
|
|
|
||
|
|
// Add dist / 10^kappa to the significand.
|
||
|
|
ret_value.significand += dist;
|
||
|
|
|
||
|
|
if (!divisible_by_small_divisor) return ret_value;
|
||
|
|
|
||
|
|
// Check z^(f) >= epsilon^(f).
|
||
|
|
// We have either yi == zi - epsiloni or yi == (zi - epsiloni) - 1,
|
||
|
|
// where yi == zi - epsiloni if and only if z^(f) >= epsilon^(f).
|
||
|
|
// Since there are only 2 possibilities, we only need to care about the
|
||
|
|
// parity. Also, zi and r should have the same parity since the divisor
|
||
|
|
// is an even number.
|
||
|
|
const auto y_mul = cache_accessor<T>::compute_mul_parity(two_fc, cache, beta);
|
||
|
|
|
||
|
|
// If z^(f) >= epsilon^(f), we might have a tie when z^(f) == epsilon^(f),
|
||
|
|
// or equivalently, when y is an integer.
|
||
|
|
if (y_mul.parity != approx_y_parity)
|
||
|
|
--ret_value.significand;
|
||
|
|
else if (y_mul.is_integer & (ret_value.significand % 2 != 0))
|
||
|
|
--ret_value.significand;
|
||
|
|
return ret_value;
|
||
|
|
}
|
||
|
|
} // namespace dragonbox
|
||
|
|
|
||
|
|
#ifdef _MSC_VER
|
||
|
|
FMT_FUNC auto fmt_snprintf(char* buf, size_t size, const char* fmt, ...)
|
||
|
|
-> int {
|
||
|
|
auto args = va_list();
|
||
|
|
va_start(args, fmt);
|
||
|
|
int result = vsnprintf_s(buf, size, _TRUNCATE, fmt, args);
|
||
|
|
va_end(args);
|
||
|
|
return result;
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
} // namespace detail
|
||
|
|
|
||
|
|
template <> struct formatter<detail::bigint> {
|
||
|
|
FMT_CONSTEXPR auto parse(format_parse_context& ctx)
|
||
|
|
-> format_parse_context::iterator {
|
||
|
|
return ctx.begin();
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename FormatContext>
|
||
|
|
auto format(const detail::bigint& n, FormatContext& ctx) const ->
|
||
|
|
typename FormatContext::iterator {
|
||
|
|
auto out = ctx.out();
|
||
|
|
bool first = true;
|
||
|
|
for (auto i = n.bigits_.size(); i > 0; --i) {
|
||
|
|
auto value = n.bigits_[i - 1u];
|
||
|
|
if (first) {
|
||
|
|
out = format_to(out, FMT_STRING("{:x}"), value);
|
||
|
|
first = false;
|
||
|
|
continue;
|
||
|
|
}
|
||
|
|
out = format_to(out, FMT_STRING("{:08x}"), value);
|
||
|
|
}
|
||
|
|
if (n.exp_ > 0)
|
||
|
|
out = format_to(out, FMT_STRING("p{}"),
|
||
|
|
n.exp_ * detail::bigint::bigit_bits);
|
||
|
|
return out;
|
||
|
|
}
|
||
|
|
};
|
||
|
|
|
||
|
|
FMT_FUNC detail::utf8_to_utf16::utf8_to_utf16(string_view s) {
|
||
|
|
for_each_codepoint(s, [this](uint32_t cp, string_view) {
|
||
|
|
if (cp == invalid_code_point) FMT_THROW(std::runtime_error("invalid utf8"));
|
||
|
|
if (cp <= 0xFFFF) {
|
||
|
|
buffer_.push_back(static_cast<wchar_t>(cp));
|
||
|
|
} else {
|
||
|
|
cp -= 0x10000;
|
||
|
|
buffer_.push_back(static_cast<wchar_t>(0xD800 + (cp >> 10)));
|
||
|
|
buffer_.push_back(static_cast<wchar_t>(0xDC00 + (cp & 0x3FF)));
|
||
|
|
}
|
||
|
|
return true;
|
||
|
|
});
|
||
|
|
buffer_.push_back(0);
|
||
|
|
}
|
||
|
|
|
||
|
|
FMT_FUNC void format_system_error(detail::buffer<char>& out, int error_code,
|
||
|
|
const char* message) noexcept {
|
||
|
|
FMT_TRY {
|
||
|
|
auto ec = std::error_code(error_code, std::generic_category());
|
||
|
|
write(std::back_inserter(out), std::system_error(ec, message).what());
|
||
|
|
return;
|
||
|
|
}
|
||
|
|
FMT_CATCH(...) {}
|
||
|
|
format_error_code(out, error_code, message);
|
||
|
|
}
|
||
|
|
|
||
|
|
FMT_FUNC void report_system_error(int error_code,
|
||
|
|
const char* message) noexcept {
|
||
|
|
report_error(format_system_error, error_code, message);
|
||
|
|
}
|
||
|
|
|
||
|
|
FMT_FUNC std::string vformat(string_view fmt, format_args args) {
|
||
|
|
// Don't optimize the "{}" case to keep the binary size small and because it
|
||
|
|
// can be better optimized in fmt::format anyway.
|
||
|
|
auto buffer = memory_buffer();
|
||
|
|
detail::vformat_to(buffer, fmt, args);
|
||
|
|
return to_string(buffer);
|
||
|
|
}
|
||
|
|
|
||
|
|
namespace detail {
|
||
|
|
#ifdef _WIN32
|
||
|
|
using dword = conditional_t<sizeof(long) == 4, unsigned long, unsigned>;
|
||
|
|
extern "C" __declspec(dllimport) int __stdcall WriteConsoleW( //
|
||
|
|
void*, const void*, dword, dword*, void*);
|
||
|
|
|
||
|
|
FMT_FUNC bool write_console(std::FILE* f, string_view text) {
|
||
|
|
auto fd = _fileno(f);
|
||
|
|
if (_isatty(fd)) {
|
||
|
|
detail::utf8_to_utf16 u16(string_view(text.data(), text.size()));
|
||
|
|
auto written = detail::dword();
|
||
|
|
if (detail::WriteConsoleW(reinterpret_cast<void*>(_get_osfhandle(fd)),
|
||
|
|
u16.c_str(), static_cast<uint32_t>(u16.size()),
|
||
|
|
&written, nullptr)) {
|
||
|
|
return true;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
// We return false if the file descriptor was not TTY, or it was but
|
||
|
|
// SetConsoleW failed which can happen if the output has been redirected to
|
||
|
|
// NUL. In both cases when we return false, we should attempt to do regular
|
||
|
|
// write via fwrite or std::ostream::write.
|
||
|
|
return false;
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
|
||
|
|
FMT_FUNC void print(std::FILE* f, string_view text) {
|
||
|
|
#ifdef _WIN32
|
||
|
|
if (write_console(f, text)) return;
|
||
|
|
#endif
|
||
|
|
detail::fwrite_fully(text.data(), 1, text.size(), f);
|
||
|
|
}
|
||
|
|
} // namespace detail
|
||
|
|
|
||
|
|
FMT_FUNC void vprint(std::FILE* f, string_view format_str, format_args args) {
|
||
|
|
memory_buffer buffer;
|
||
|
|
detail::vformat_to(buffer, format_str, args);
|
||
|
|
detail::print(f, {buffer.data(), buffer.size()});
|
||
|
|
}
|
||
|
|
|
||
|
|
#ifdef _WIN32
|
||
|
|
// Print assuming legacy (non-Unicode) encoding.
|
||
|
|
FMT_FUNC void detail::vprint_mojibake(std::FILE* f, string_view format_str,
|
||
|
|
format_args args) {
|
||
|
|
memory_buffer buffer;
|
||
|
|
detail::vformat_to(buffer, format_str,
|
||
|
|
basic_format_args<buffer_context<char>>(args));
|
||
|
|
fwrite_fully(buffer.data(), 1, buffer.size(), f);
|
||
|
|
}
|
||
|
|
#endif
|
||
|
|
|
||
|
|
FMT_FUNC void vprint(string_view format_str, format_args args) {
|
||
|
|
vprint(stdout, format_str, args);
|
||
|
|
}
|
||
|
|
|
||
|
|
namespace detail {
|
||
|
|
|
||
|
|
struct singleton {
|
||
|
|
unsigned char upper;
|
||
|
|
unsigned char lower_count;
|
||
|
|
};
|
||
|
|
|
||
|
|
inline auto is_printable(uint16_t x, const singleton* singletons,
|
||
|
|
size_t singletons_size,
|
||
|
|
const unsigned char* singleton_lowers,
|
||
|
|
const unsigned char* normal, size_t normal_size)
|
||
|
|
-> bool {
|
||
|
|
auto upper = x >> 8;
|
||
|
|
auto lower_start = 0;
|
||
|
|
for (size_t i = 0; i < singletons_size; ++i) {
|
||
|
|
auto s = singletons[i];
|
||
|
|
auto lower_end = lower_start + s.lower_count;
|
||
|
|
if (upper < s.upper) break;
|
||
|
|
if (upper == s.upper) {
|
||
|
|
for (auto j = lower_start; j < lower_end; ++j) {
|
||
|
|
if (singleton_lowers[j] == (x & 0xff)) return false;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
lower_start = lower_end;
|
||
|
|
}
|
||
|
|
|
||
|
|
auto xsigned = static_cast<int>(x);
|
||
|
|
auto current = true;
|
||
|
|
for (size_t i = 0; i < normal_size; ++i) {
|
||
|
|
auto v = static_cast<int>(normal[i]);
|
||
|
|
auto len = (v & 0x80) != 0 ? (v & 0x7f) << 8 | normal[++i] : v;
|
||
|
|
xsigned -= len;
|
||
|
|
if (xsigned < 0) break;
|
||
|
|
current = !current;
|
||
|
|
}
|
||
|
|
return current;
|
||
|
|
}
|
||
|
|
|
||
|
|
// This code is generated by support/printable.py.
|
||
|
|
FMT_FUNC auto is_printable(uint32_t cp) -> bool {
|
||
|
|
static constexpr singleton singletons0[] = {
|
||
|
|
{0x00, 1}, {0x03, 5}, {0x05, 6}, {0x06, 3}, {0x07, 6}, {0x08, 8},
|
||
|
|
{0x09, 17}, {0x0a, 28}, {0x0b, 25}, {0x0c, 20}, {0x0d, 16}, {0x0e, 13},
|
||
|
|
{0x0f, 4}, {0x10, 3}, {0x12, 18}, {0x13, 9}, {0x16, 1}, {0x17, 5},
|
||
|
|
{0x18, 2}, {0x19, 3}, {0x1a, 7}, {0x1c, 2}, {0x1d, 1}, {0x1f, 22},
|
||
|
|
{0x20, 3}, {0x2b, 3}, {0x2c, 2}, {0x2d, 11}, {0x2e, 1}, {0x30, 3},
|
||
|
|
{0x31, 2}, {0x32, 1}, {0xa7, 2}, {0xa9, 2}, {0xaa, 4}, {0xab, 8},
|
||
|
|
{0xfa, 2}, {0xfb, 5}, {0xfd, 4}, {0xfe, 3}, {0xff, 9},
|
||
|
|
};
|
||
|
|
static constexpr unsigned char singletons0_lower[] = {
|
||
|
|
0xad, 0x78, 0x79, 0x8b, 0x8d, 0xa2, 0x30, 0x57, 0x58, 0x8b, 0x8c, 0x90,
|
||
|
|
0x1c, 0x1d, 0xdd, 0x0e, 0x0f, 0x4b, 0x4c, 0xfb, 0xfc, 0x2e, 0x2f, 0x3f,
|
||
|
|
0x5c, 0x5d, 0x5f, 0xb5, 0xe2, 0x84, 0x8d, 0x8e, 0x91, 0x92, 0xa9, 0xb1,
|
||
|
|
0xba, 0xbb, 0xc5, 0xc6, 0xc9, 0xca, 0xde, 0xe4, 0xe5, 0xff, 0x00, 0x04,
|
||
|
|
0x11, 0x12, 0x29, 0x31, 0x34, 0x37, 0x3a, 0x3b, 0x3d, 0x49, 0x4a, 0x5d,
|
||
|
|
0x84, 0x8e, 0x92, 0xa9, 0xb1, 0xb4, 0xba, 0xbb, 0xc6, 0xca, 0xce, 0xcf,
|
||
|
|
0xe4, 0xe5, 0x00, 0x04, 0x0d, 0x0e, 0x11, 0x12, 0x29, 0x31, 0x34, 0x3a,
|
||
|
|
0x3b, 0x45, 0x46, 0x49, 0x4a, 0x5e, 0x64, 0x65, 0x84, 0x91, 0x9b, 0x9d,
|
||
|
|
0xc9, 0xce, 0xcf, 0x0d, 0x11, 0x29, 0x45, 0x49, 0x57, 0x64, 0x65, 0x8d,
|
||
|
|
0x91, 0xa9, 0xb4, 0xba, 0xbb, 0xc5, 0xc9, 0xdf, 0xe4, 0xe5, 0xf0, 0x0d,
|
||
|
|
0x11, 0x45, 0x49, 0x64, 0x65, 0x80, 0x84, 0xb2, 0xbc, 0xbe, 0xbf, 0xd5,
|
||
|
|
0xd7, 0xf0, 0xf1, 0x83, 0x85, 0x8b, 0xa4, 0xa6, 0xbe, 0xbf, 0xc5, 0xc7,
|
||
|
|
0xce, 0xcf, 0xda, 0xdb, 0x48, 0x98, 0xbd, 0xcd, 0xc6, 0xce, 0xcf, 0x49,
|
||
|
|
0x4e, 0x4f, 0x57, 0x59, 0x5e, 0x5f, 0x89, 0x8e, 0x8f, 0xb1, 0xb6, 0xb7,
|
||
|
|
0xbf, 0xc1, 0xc6, 0xc7, 0xd7, 0x11, 0x16, 0x17, 0x5b, 0x5c, 0xf6, 0xf7,
|
||
|
|
0xfe, 0xff, 0x80, 0x0d, 0x6d, 0x71, 0xde, 0xdf, 0x0e, 0x0f, 0x1f, 0x6e,
|
||
|
|
0x6f, 0x1c, 0x1d, 0x5f, 0x7d, 0x7e, 0xae, 0xaf, 0xbb, 0xbc, 0xfa, 0x16,
|
||
|
|
0x17, 0x1e, 0x1f, 0x46, 0x47, 0x4e, 0x4f, 0x58, 0x5a, 0x5c, 0x5e, 0x7e,
|
||
|
|
0x7f, 0xb5, 0xc5, 0xd4, 0xd5, 0xdc, 0xf0, 0xf1, 0xf5, 0x72, 0x73, 0x8f,
|
||
|
|
0x74, 0x75, 0x96, 0x2f, 0x5f, 0x26, 0x2e, 0x2f, 0xa7, 0xaf, 0xb7, 0xbf,
|
||
|
|
0xc7, 0xcf, 0xd7, 0xdf, 0x9a, 0x40, 0x97, 0x98, 0x30, 0x8f, 0x1f, 0xc0,
|
||
|
|
0xc1, 0xce, 0xff, 0x4e, 0x4f, 0x5a, 0x5b, 0x07, 0x08, 0x0f, 0x10, 0x27,
|
||
|
|
0x2f, 0xee, 0xef, 0x6e, 0x6f, 0x37, 0x3d, 0x3f, 0x42, 0x45, 0x90, 0x91,
|
||
|
|
0xfe, 0xff, 0x53, 0x67, 0x75, 0xc8, 0xc9, 0xd0, 0xd1, 0xd8, 0xd9, 0xe7,
|
||
|
|
0xfe, 0xff,
|
||
|
|
};
|
||
|
|
static constexpr singleton singletons1[] = {
|
||
|
|
{0x00, 6}, {0x01, 1}, {0x03, 1}, {0x04, 2}, {0x08, 8}, {0x09, 2},
|
||
|
|
{0x0a, 5}, {0x0b, 2}, {0x0e, 4}, {0x10, 1}, {0x11, 2}, {0x12, 5},
|
||
|
|
{0x13, 17}, {0x14, 1}, {0x15, 2}, {0x17, 2}, {0x19, 13}, {0x1c, 5},
|
||
|
|
{0x1d, 8}, {0x24, 1}, {0x6a, 3}, {0x6b, 2}, {0xbc, 2}, {0xd1, 2},
|
||
|
|
{0xd4, 12}, {0xd5, 9}, {0xd6, 2}, {0xd7, 2}, {0xda, 1}, {0xe0, 5},
|
||
|
|
{0xe1, 2}, {0xe8, 2}, {0xee, 32}, {0xf0, 4}, {0xf8, 2}, {0xf9, 2},
|
||
|
|
{0xfa, 2}, {0xfb, 1},
|
||
|
|
};
|
||
|
|
static constexpr unsigned char singletons1_lower[] = {
|
||
|
|
0x0c, 0x27, 0x3b, 0x3e, 0x4e, 0x4f, 0x8f, 0x9e, 0x9e, 0x9f, 0x06, 0x07,
|
||
|
|
0x09, 0x36, 0x3d, 0x3e, 0x56, 0xf3, 0xd0, 0xd1, 0x04, 0x14, 0x18, 0x36,
|
||
|
|
0x37, 0x56, 0x57, 0x7f, 0xaa, 0xae, 0xaf, 0xbd, 0x35, 0xe0, 0x12, 0x87,
|
||
|
|
0x89, 0x8e, 0x9e, 0x04, 0x0d, 0x0e, 0x11, 0x12, 0x29, 0x31, 0x34, 0x3a,
|
||
|
|
0x45, 0x46, 0x49, 0x4a, 0x4e, 0x4f, 0x64, 0x65, 0x5c, 0xb6, 0xb7, 0x1b,
|
||
|
|
0x1c, 0x07, 0x08, 0x0a, 0x0b, 0x14, 0x17, 0x36, 0x39, 0x3a, 0xa8, 0xa9,
|
||
|
|
0xd8, 0xd9, 0x09, 0x37, 0x90, 0x91, 0xa8, 0x07, 0x0a, 0x3b, 0x3e, 0x66,
|
||
|
|
0x69, 0x8f, 0x92, 0x6f, 0x5f, 0xee, 0xef, 0x5a, 0x62, 0x9a, 0x9b, 0x27,
|
||
|
|
0x28, 0x55, 0x9d, 0xa0, 0xa1, 0xa3, 0xa4, 0xa7, 0xa8, 0xad, 0xba, 0xbc,
|
||
|
|
0xc4, 0x06, 0x0b, 0x0c, 0x15, 0x1d, 0x3a, 0x3f, 0x45, 0x51, 0xa6, 0xa7,
|
||
|
|
0xcc, 0xcd, 0xa0, 0x07, 0x19, 0x1a, 0x22, 0x25, 0x3e, 0x3f, 0xc5, 0xc6,
|
||
|
|
0x04, 0x20, 0x23, 0x25, 0x26, 0x28, 0x33, 0x38, 0x3a, 0x48, 0x4a, 0x4c,
|
||
|
|
0x50, 0x53, 0x55, 0x56, 0x58, 0x5a, 0x5c, 0x5e, 0x60, 0x63, 0x65, 0x66,
|
||
|
|
0x6b, 0x73, 0x78, 0x7d, 0x7f, 0x8a, 0xa4, 0xaa, 0xaf, 0xb0, 0xc0, 0xd0,
|
||
|
|
0xae, 0xaf, 0x79, 0xcc, 0x6e, 0x6f, 0x93,
|
||
|
|
};
|
||
|
|
static constexpr unsigned char normal0[] = {
|
||
|
|
0x00, 0x20, 0x5f, 0x22, 0x82, 0xdf, 0x04, 0x82, 0x44, 0x08, 0x1b, 0x04,
|
||
|
|
0x06, 0x11, 0x81, 0xac, 0x0e, 0x80, 0xab, 0x35, 0x28, 0x0b, 0x80, 0xe0,
|
||
|
|
0x03, 0x19, 0x08, 0x01, 0x04, 0x2f, 0x04, 0x34, 0x04, 0x07, 0x03, 0x01,
|
||
|
|
0x07, 0x06, 0x07, 0x11, 0x0a, 0x50, 0x0f, 0x12, 0x07, 0x55, 0x07, 0x03,
|
||
|
|
0x04, 0x1c, 0x0a, 0x09, 0x03, 0x08, 0x03, 0x07, 0x03, 0x02, 0x03, 0x03,
|
||
|
|
0x03, 0x0c, 0x04, 0x05, 0x03, 0x0b, 0x06, 0x01, 0x0e, 0x15, 0x05, 0x3a,
|
||
|
|
0x03, 0x11, 0x07, 0x06, 0x05, 0x10, 0x07, 0x57, 0x07, 0x02, 0x07, 0x15,
|
||
|
|
0x0d, 0x50, 0x04, 0x43, 0x03, 0x2d, 0x03, 0x01, 0x04, 0x11, 0x06, 0x0f,
|
||
|
|
0x0c, 0x3a, 0x04, 0x1d, 0x25, 0x5f, 0x20, 0x6d, 0x04, 0x6a, 0x25, 0x80,
|
||
|
|
0xc8, 0x05, 0x82, 0xb0, 0x03, 0x1a, 0x06, 0x82, 0xfd, 0x03, 0x59, 0x07,
|
||
|
|
0x15, 0x0b, 0x17, 0x09, 0x14, 0x0c, 0x14, 0x0c, 0x6a, 0x06, 0x0a, 0x06,
|
||
|
|
0x1a, 0x06, 0x59, 0x07, 0x2b, 0x05, 0x46, 0x0a, 0x2c, 0x04, 0x0c, 0x04,
|
||
|
|
0x01, 0x03, 0x31, 0x0b, 0x2c, 0x04, 0x1a, 0x06, 0x0b, 0x03, 0x80, 0xac,
|
||
|
|
0x06, 0x0a, 0x06, 0x21, 0x3f, 0x4c, 0x04, 0x2d, 0x03, 0x74, 0x08, 0x3c,
|
||
|
|
0x03, 0x0f, 0x03, 0x3c, 0x07, 0x38, 0x08, 0x2b, 0x05, 0x82, 0xff, 0x11,
|
||
|
|
0x18, 0x08, 0x2f, 0x11, 0x2d, 0x03, 0x20, 0x10, 0x21, 0x0f, 0x80, 0x8c,
|
||
|
|
0x04, 0x82, 0x97, 0x19, 0x0b, 0x15, 0x88, 0x94, 0x05, 0x2f, 0x05, 0x3b,
|
||
|
|
0x07, 0x02, 0x0e, 0x18, 0x09, 0x80, 0xb3, 0x2d, 0x74, 0x0c, 0x80, 0xd6,
|
||
|
|
0x1a, 0x0c, 0x05, 0x80, 0xff, 0x05, 0x80, 0xdf, 0x0c, 0xee, 0x0d, 0x03,
|
||
|
|
0x84, 0x8d, 0x03, 0x37, 0x09, 0x81, 0x5c, 0x14, 0x80, 0xb8, 0x08, 0x80,
|
||
|
|
0xcb, 0x2a, 0x38, 0x03, 0x0a, 0x06, 0x38, 0x08, 0x46, 0x08, 0x0c, 0x06,
|
||
|
|
0x74, 0x0b, 0x1e, 0x03, 0x5a, 0x04, 0x59, 0x09, 0x80, 0x83, 0x18, 0x1c,
|
||
|
|
0x0a, 0x16, 0x09, 0x4c, 0x04, 0x80, 0x8a, 0x06, 0xab, 0xa4, 0x0c, 0x17,
|
||
|
|
0x04, 0x31, 0xa1, 0x04, 0x81, 0xda, 0x26, 0x07, 0x0c, 0x05, 0x05, 0x80,
|
||
|
|
0xa5, 0x11, 0x81, 0x6d, 0x10, 0x78, 0x28, 0x2a, 0x06, 0x4c, 0x04, 0x80,
|
||
|
|
0x8d, 0x04, 0x80, 0xbe, 0x03, 0x1b, 0x03, 0x0f, 0x0d,
|
||
|
|
};
|
||
|
|
static constexpr unsigned char normal1[] = {
|
||
|
|
0x5e, 0x22, 0x7b, 0x05, 0x03, 0x04, 0x2d, 0x03, 0x66, 0x03, 0x01, 0x2f,
|
||
|
|
0x2e, 0x80, 0x82, 0x1d, 0x03, 0x31, 0x0f, 0x1c, 0x04, 0x24, 0x09, 0x1e,
|
||
|
|
0x05, 0x2b, 0x05, 0x44, 0x04, 0x0e, 0x2a, 0x80, 0xaa, 0x06, 0x24, 0x04,
|
||
|
|
0x24, 0x04, 0x28, 0x08, 0x34, 0x0b, 0x01, 0x80, 0x90, 0x81, 0x37, 0x09,
|
||
|
|
0x16, 0x0a, 0x08, 0x80, 0x98, 0x39, 0x03, 0x63, 0x08, 0x09, 0x30, 0x16,
|
||
|
|
0x05, 0x21, 0x03, 0x1b, 0x05, 0x01, 0x40, 0x38, 0x04, 0x4b, 0x05, 0x2f,
|
||
|
|
0x04, 0x0a, 0x07, 0x09, 0x07, 0x40, 0x20, 0x27, 0x04, 0x0c, 0x09, 0x36,
|
||
|
|
0x03, 0x3a, 0x05, 0x1a, 0x07, 0x04, 0x0c, 0x07, 0x50, 0x49, 0x37, 0x33,
|
||
|
|
0x0d, 0x33, 0x07, 0x2e, 0x08, 0x0a, 0x81, 0x26, 0x52, 0x4e, 0x28, 0x08,
|
||
|
|
0x2a, 0x56, 0x1c, 0x14, 0x17, 0x09, 0x4e, 0x04, 0x1e, 0x0f, 0x43, 0x0e,
|
||
|
|
0x19, 0x07, 0x0a, 0x06, 0x48, 0x08, 0x27, 0x09, 0x75, 0x0b, 0x3f, 0x41,
|
||
|
|
0x2a, 0x06, 0x3b, 0x05, 0x0a, 0x06, 0x51, 0x06, 0x01, 0x05, 0x10, 0x03,
|
||
|
|
0x05, 0x80, 0x8b, 0x62, 0x1e, 0x48, 0x08, 0x0a, 0x80, 0xa6, 0x5e, 0x22,
|
||
|
|
0x45, 0x0b, 0x0a, 0x06, 0x0d, 0x13, 0x39, 0x07, 0x0a, 0x36, 0x2c, 0x04,
|
||
|
|
0x10, 0x80, 0xc0, 0x3c, 0x64, 0x53, 0x0c, 0x48, 0x09, 0x0a, 0x46, 0x45,
|
||
|
|
0x1b, 0x48, 0x08, 0x53, 0x1d, 0x39, 0x81, 0x07, 0x46, 0x0a, 0x1d, 0x03,
|
||
|
|
0x47, 0x49, 0x37, 0x03, 0x0e, 0x08, 0x0a, 0x06, 0x39, 0x07, 0x0a, 0x81,
|
||
|
|
0x36, 0x19, 0x80, 0xb7, 0x01, 0x0f, 0x32, 0x0d, 0x83, 0x9b, 0x66, 0x75,
|
||
|
|
0x0b, 0x80, 0xc4, 0x8a, 0xbc, 0x84, 0x2f, 0x8f, 0xd1, 0x82, 0x47, 0xa1,
|
||
|
|
0xb9, 0x82, 0x39, 0x07, 0x2a, 0x04, 0x02, 0x60, 0x26, 0x0a, 0x46, 0x0a,
|
||
|
|
0x28, 0x05, 0x13, 0x82, 0xb0, 0x5b, 0x65, 0x4b, 0x04, 0x39, 0x07, 0x11,
|
||
|
|
0x40, 0x05, 0x0b, 0x02, 0x0e, 0x97, 0xf8, 0x08, 0x84, 0xd6, 0x2a, 0x09,
|
||
|
|
0xa2, 0xf7, 0x81, 0x1f, 0x31, 0x03, 0x11, 0x04, 0x08, 0x81, 0x8c, 0x89,
|
||
|
|
0x04, 0x6b, 0x05, 0x0d, 0x03, 0x09, 0x07, 0x10, 0x93, 0x60, 0x80, 0xf6,
|
||
|
|
0x0a, 0x73, 0x08, 0x6e, 0x17, 0x46, 0x80, 0x9a, 0x14, 0x0c, 0x57, 0x09,
|
||
|
|
0x19, 0x80, 0x87, 0x81, 0x47, 0x03, 0x85, 0x42, 0x0f, 0x15, 0x85, 0x50,
|
||
|
|
0x2b, 0x80, 0xd5, 0x2d, 0x03, 0x1a, 0x04, 0x02, 0x81, 0x70, 0x3a, 0x05,
|
||
|
|
0x01, 0x85, 0x00, 0x80, 0xd7, 0x29, 0x4c, 0x04, 0x0a, 0x04, 0x02, 0x83,
|
||
|
|
0x11, 0x44, 0x4c, 0x3d, 0x80, 0xc2, 0x3c, 0x06, 0x01, 0x04, 0x55, 0x05,
|
||
|
|
0x1b, 0x34, 0x02, 0x81, 0x0e, 0x2c, 0x04, 0x64, 0x0c, 0x56, 0x0a, 0x80,
|
||
|
|
0xae, 0x38, 0x1d, 0x0d, 0x2c, 0x04, 0x09, 0x07, 0x02, 0x0e, 0x06, 0x80,
|
||
|
|
0x9a, 0x83, 0xd8, 0x08, 0x0d, 0x03, 0x0d, 0x03, 0x74, 0x0c, 0x59, 0x07,
|
||
|
|
0x0c, 0x14, 0x0c, 0x04, 0x38, 0x08, 0x0a, 0x06, 0x28, 0x08, 0x22, 0x4e,
|
||
|
|
0x81, 0x54, 0x0c, 0x15, 0x03, 0x03, 0x05, 0x07, 0x09, 0x19, 0x07, 0x07,
|
||
|
|
0x09, 0x03, 0x0d, 0x07, 0x29, 0x80, 0xcb, 0x25, 0x0a, 0x84, 0x06,
|
||
|
|
};
|
||
|
|
auto lower = static_cast<uint16_t>(cp);
|
||
|
|
if (cp < 0x10000) {
|
||
|
|
return is_printable(lower, singletons0,
|
||
|
|
sizeof(singletons0) / sizeof(*singletons0),
|
||
|
|
singletons0_lower, normal0, sizeof(normal0));
|
||
|
|
}
|
||
|
|
if (cp < 0x20000) {
|
||
|
|
return is_printable(lower, singletons1,
|
||
|
|
sizeof(singletons1) / sizeof(*singletons1),
|
||
|
|
singletons1_lower, normal1, sizeof(normal1));
|
||
|
|
}
|
||
|
|
if (0x2a6de <= cp && cp < 0x2a700) return false;
|
||
|
|
if (0x2b735 <= cp && cp < 0x2b740) return false;
|
||
|
|
if (0x2b81e <= cp && cp < 0x2b820) return false;
|
||
|
|
if (0x2cea2 <= cp && cp < 0x2ceb0) return false;
|
||
|
|
if (0x2ebe1 <= cp && cp < 0x2f800) return false;
|
||
|
|
if (0x2fa1e <= cp && cp < 0x30000) return false;
|
||
|
|
if (0x3134b <= cp && cp < 0xe0100) return false;
|
||
|
|
if (0xe01f0 <= cp && cp < 0x110000) return false;
|
||
|
|
return cp < 0x110000;
|
||
|
|
}
|
||
|
|
|
||
|
|
} // namespace detail
|
||
|
|
|
||
|
|
FMT_END_NAMESPACE
|
||
|
|
|
||
|
|
#endif // FMT_FORMAT_INL_H_
|