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+// Formatting library for C++ - implementation
+//
+// Copyright (c) 2012 - 2016, Victor Zverovich
+// All rights reserved.
+//
+// For the license information refer to format.h.
+
+#ifndef FMT_FORMAT_INL_H_
+#define FMT_FORMAT_INL_H_
+
+#include <algorithm>
+#include <cctype>
+#include <cerrno> // errno
+#include <climits>
+#include <cmath>
+#include <cstdarg>
+#include <cstring> // std::memmove
+#include <cwchar>
+#include <exception>
+
+#ifndef FMT_STATIC_THOUSANDS_SEPARATOR
+# include <locale>
+#endif
+
+#ifdef _WIN32
+# include <io.h> // _isatty
+#endif
+
+#include "format.h"
+
+FMT_BEGIN_NAMESPACE
+namespace detail {
+
+FMT_FUNC void assert_fail(const char* file, int line, const char* message) {
+ // Use unchecked std::fprintf to avoid triggering another assertion when
+ // writing to stderr fails
+ std::fprintf(stderr, "%s:%d: assertion failed: %s", file, line, message);
+ // Chosen instead of std::abort to satisfy Clang in CUDA mode during device
+ // code pass.
+ std::terminate();
+}
+
+FMT_FUNC void throw_format_error(const char* message) {
+ FMT_THROW(format_error(message));
+}
+
+FMT_FUNC void format_error_code(detail::buffer<char>& out, int error_code,
+ string_view message) noexcept {
+ // Report error code making sure that the output fits into
+ // inline_buffer_size to avoid dynamic memory allocation and potential
+ // bad_alloc.
+ out.try_resize(0);
+ static const char SEP[] = ": ";
+ static const char ERROR_STR[] = "error ";
+ // Subtract 2 to account for terminating null characters in SEP and ERROR_STR.
+ size_t error_code_size = sizeof(SEP) + sizeof(ERROR_STR) - 2;
+ auto abs_value = static_cast<uint32_or_64_or_128_t<int>>(error_code);
+ if (detail::is_negative(error_code)) {
+ abs_value = 0 - abs_value;
+ ++error_code_size;
+ }
+ error_code_size += detail::to_unsigned(detail::count_digits(abs_value));
+ auto it = buffer_appender<char>(out);
+ if (message.size() <= inline_buffer_size - error_code_size)
+ format_to(it, FMT_STRING("{}{}"), message, SEP);
+ format_to(it, FMT_STRING("{}{}"), ERROR_STR, error_code);
+ FMT_ASSERT(out.size() <= inline_buffer_size, "");
+}
+
+FMT_FUNC void report_error(format_func func, int error_code,
+ const char* message) noexcept {
+ memory_buffer full_message;
+ func(full_message, error_code, message);
+ // Don't use fwrite_fully because the latter may throw.
+ if (std::fwrite(full_message.data(), full_message.size(), 1, stderr) > 0)
+ std::fputc('\n', stderr);
+}
+
+// A wrapper around fwrite that throws on error.
+inline void fwrite_fully(const void* ptr, size_t size, size_t count,
+ FILE* stream) {
+ size_t written = std::fwrite(ptr, size, count, stream);
+ if (written < count)
+ FMT_THROW(system_error(errno, FMT_STRING("cannot write to file")));
+}
+
+#ifndef FMT_STATIC_THOUSANDS_SEPARATOR
+template <typename Locale>
+locale_ref::locale_ref(const Locale& loc) : locale_(&loc) {
+ static_assert(std::is_same<Locale, std::locale>::value, "");
+}
+
+template <typename Locale> Locale locale_ref::get() const {
+ static_assert(std::is_same<Locale, std::locale>::value, "");
+ return locale_ ? *static_cast<const std::locale*>(locale_) : std::locale();
+}
+
+template <typename Char>
+FMT_FUNC auto thousands_sep_impl(locale_ref loc) -> thousands_sep_result<Char> {
+ auto& facet = std::use_facet<std::numpunct<Char>>(loc.get<std::locale>());
+ auto grouping = facet.grouping();
+ auto thousands_sep = grouping.empty() ? Char() : facet.thousands_sep();
+ return {std::move(grouping), thousands_sep};
+}
+template <typename Char> FMT_FUNC Char decimal_point_impl(locale_ref loc) {
+ return std::use_facet<std::numpunct<Char>>(loc.get<std::locale>())
+ .decimal_point();
+}
+#else
+template <typename Char>
+FMT_FUNC auto thousands_sep_impl(locale_ref) -> thousands_sep_result<Char> {
+ return {"\03", FMT_STATIC_THOUSANDS_SEPARATOR};
+}
+template <typename Char> FMT_FUNC Char decimal_point_impl(locale_ref) {
+ return '.';
+}
+#endif
+} // namespace detail
+
+#if !FMT_MSC_VERSION
+FMT_API FMT_FUNC format_error::~format_error() noexcept = default;
+#endif
+
+FMT_FUNC std::system_error vsystem_error(int error_code, string_view format_str,
+ format_args args) {
+ auto ec = std::error_code(error_code, std::generic_category());
+ return std::system_error(ec, vformat(format_str, args));
+}
+
+namespace detail {
+
+template <typename F> inline bool operator==(basic_fp<F> x, basic_fp<F> y) {
+ return x.f == y.f && x.e == y.e;
+}
+
+// Compilers should be able to optimize this into the ror instruction.
+FMT_CONSTEXPR inline uint32_t rotr(uint32_t n, uint32_t r) noexcept {
+ r &= 31;
+ return (n >> r) | (n << (32 - r));
+}
+FMT_CONSTEXPR inline uint64_t rotr(uint64_t n, uint32_t r) noexcept {
+ r &= 63;
+ return (n >> r) | (n << (64 - r));
+}
+
+// Computes 128-bit result of multiplication of two 64-bit unsigned integers.
+inline uint128_fallback umul128(uint64_t x, uint64_t y) noexcept {
+#if FMT_USE_INT128
+ auto p = static_cast<uint128_opt>(x) * static_cast<uint128_opt>(y);
+ return {static_cast<uint64_t>(p >> 64), static_cast<uint64_t>(p)};
+#elif defined(_MSC_VER) && defined(_M_X64)
+ auto result = uint128_fallback();
+ result.lo_ = _umul128(x, y, &result.hi_);
+ return result;
+#else
+ const uint64_t mask = static_cast<uint64_t>(max_value<uint32_t>());
+
+ uint64_t a = x >> 32;
+ uint64_t b = x & mask;
+ uint64_t c = y >> 32;
+ uint64_t d = y & mask;
+
+ uint64_t ac = a * c;
+ uint64_t bc = b * c;
+ uint64_t ad = a * d;
+ uint64_t bd = b * d;
+
+ uint64_t intermediate = (bd >> 32) + (ad & mask) + (bc & mask);
+
+ return {ac + (intermediate >> 32) + (ad >> 32) + (bc >> 32),
+ (intermediate << 32) + (bd & mask)};
+#endif
+}
+
+// Implementation of Dragonbox algorithm: https://github.com/jk-jeon/dragonbox.
+namespace dragonbox {
+// Computes upper 64 bits of multiplication of two 64-bit unsigned integers.
+inline uint64_t umul128_upper64(uint64_t x, uint64_t y) noexcept {
+#if FMT_USE_INT128
+ auto p = static_cast<uint128_opt>(x) * static_cast<uint128_opt>(y);
+ return static_cast<uint64_t>(p >> 64);
+#elif defined(_MSC_VER) && defined(_M_X64)
+ return __umulh(x, y);
+#else
+ return umul128(x, y).high();
+#endif
+}
+
+// Computes upper 128 bits of multiplication of a 64-bit unsigned integer and a
+// 128-bit unsigned integer.
+inline uint128_fallback umul192_upper128(uint64_t x,
+ uint128_fallback y) noexcept {
+ uint128_fallback r = umul128(x, y.high());
+ r += umul128_upper64(x, y.low());
+ return r;
+}
+
+// Computes upper 64 bits of multiplication of a 32-bit unsigned integer and a
+// 64-bit unsigned integer.
+inline uint64_t umul96_upper64(uint32_t x, uint64_t y) noexcept {
+ return umul128_upper64(static_cast<uint64_t>(x) << 32, y);
+}
+
+// Computes lower 128 bits of multiplication of a 64-bit unsigned integer and a
+// 128-bit unsigned integer.
+inline uint128_fallback umul192_lower128(uint64_t x,
+ uint128_fallback y) noexcept {
+ uint64_t high = x * y.high();
+ uint128_fallback high_low = umul128(x, y.low());
+ return {high + high_low.high(), high_low.low()};
+}
+
+// Computes lower 64 bits of multiplication of a 32-bit unsigned integer and a
+// 64-bit unsigned integer.
+inline uint64_t umul96_lower64(uint32_t x, uint64_t y) noexcept {
+ return x * y;
+}
+
+// Computes floor(log10(pow(2, e))) for e in [-2620, 2620] using the method from
+// https://fmt.dev/papers/Dragonbox.pdf#page=28, section 6.1.
+inline int floor_log10_pow2(int e) noexcept {
+ FMT_ASSERT(e <= 2620 && e >= -2620, "too large exponent");
+ static_assert((-1 >> 1) == -1, "right shift is not arithmetic");
+ return (e * 315653) >> 20;
+}
+
+// Various fast log computations.
+inline int floor_log2_pow10(int e) noexcept {
+ FMT_ASSERT(e <= 1233 && e >= -1233, "too large exponent");
+ return (e * 1741647) >> 19;
+}
+inline int floor_log10_pow2_minus_log10_4_over_3(int e) noexcept {
+ FMT_ASSERT(e <= 2936 && e >= -2985, "too large exponent");
+ return (e * 631305 - 261663) >> 21;
+}
+
+static constexpr struct {
+ uint32_t divisor;
+ int shift_amount;
+} div_small_pow10_infos[] = {{10, 16}, {100, 16}};
+
+// Replaces n by floor(n / pow(10, N)) returning true if and only if n is
+// divisible by pow(10, N).
+// Precondition: n <= pow(10, N + 1).
+template <int N>
+bool check_divisibility_and_divide_by_pow10(uint32_t& n) noexcept {
+ // The numbers below are chosen such that:
+ // 1. floor(n/d) = floor(nm / 2^k) where d=10 or d=100,
+ // 2. nm mod 2^k < m if and only if n is divisible by d,
+ // where m is magic_number, k is shift_amount
+ // and d is divisor.
+ //
+ // Item 1 is a common technique of replacing division by a constant with
+ // multiplication, see e.g. "Division by Invariant Integers Using
+ // Multiplication" by Granlund and Montgomery (1994). magic_number (m) is set
+ // to ceil(2^k/d) for large enough k.
+ // The idea for item 2 originates from Schubfach.
+ constexpr auto info = div_small_pow10_infos[N - 1];
+ FMT_ASSERT(n <= info.divisor * 10, "n is too large");
+ constexpr uint32_t magic_number =
+ (1u << info.shift_amount) / info.divisor + 1;
+ n *= magic_number;
+ const uint32_t comparison_mask = (1u << info.shift_amount) - 1;
+ bool result = (n & comparison_mask) < magic_number;
+ n >>= info.shift_amount;
+ return result;
+}
+
+// Computes floor(n / pow(10, N)) for small n and N.
+// Precondition: n <= pow(10, N + 1).
+template <int N> uint32_t small_division_by_pow10(uint32_t n) noexcept {
+ constexpr auto info = div_small_pow10_infos[N - 1];
+ FMT_ASSERT(n <= info.divisor * 10, "n is too large");
+ constexpr uint32_t magic_number =
+ (1u << info.shift_amount) / info.divisor + 1;
+ return (n * magic_number) >> info.shift_amount;
+}
+
+// Computes floor(n / 10^(kappa + 1)) (float)
+inline uint32_t divide_by_10_to_kappa_plus_1(uint32_t n) noexcept {
+ // 1374389535 = ceil(2^37/100)
+ return static_cast<uint32_t>((static_cast<uint64_t>(n) * 1374389535) >> 37);
+}
+// Computes floor(n / 10^(kappa + 1)) (double)
+inline uint64_t divide_by_10_to_kappa_plus_1(uint64_t n) noexcept {
+ // 2361183241434822607 = ceil(2^(64+7)/1000)
+ return umul128_upper64(n, 2361183241434822607ull) >> 7;
+}
+
+// Various subroutines using pow10 cache
+template <class T> struct cache_accessor;
+
+template <> struct cache_accessor<float> {
+ using carrier_uint = float_info<float>::carrier_uint;
+ using cache_entry_type = uint64_t;
+
+ static uint64_t get_cached_power(int k) noexcept {
+ FMT_ASSERT(k >= float_info<float>::min_k && k <= float_info<float>::max_k,
+ "k is out of range");
+ static constexpr const uint64_t pow10_significands[] = {
+ 0x81ceb32c4b43fcf5, 0xa2425ff75e14fc32, 0xcad2f7f5359a3b3f,
+ 0xfd87b5f28300ca0e, 0x9e74d1b791e07e49, 0xc612062576589ddb,
+ 0xf79687aed3eec552, 0x9abe14cd44753b53, 0xc16d9a0095928a28,
+ 0xf1c90080baf72cb2, 0x971da05074da7bef, 0xbce5086492111aeb,
+ 0xec1e4a7db69561a6, 0x9392ee8e921d5d08, 0xb877aa3236a4b44a,
+ 0xe69594bec44de15c, 0x901d7cf73ab0acda, 0xb424dc35095cd810,
+ 0xe12e13424bb40e14, 0x8cbccc096f5088cc, 0xafebff0bcb24aaff,
+ 0xdbe6fecebdedd5bf, 0x89705f4136b4a598, 0xabcc77118461cefd,
+ 0xd6bf94d5e57a42bd, 0x8637bd05af6c69b6, 0xa7c5ac471b478424,
+ 0xd1b71758e219652c, 0x83126e978d4fdf3c, 0xa3d70a3d70a3d70b,
+ 0xcccccccccccccccd, 0x8000000000000000, 0xa000000000000000,
+ 0xc800000000000000, 0xfa00000000000000, 0x9c40000000000000,
+ 0xc350000000000000, 0xf424000000000000, 0x9896800000000000,
+ 0xbebc200000000000, 0xee6b280000000000, 0x9502f90000000000,
+ 0xba43b74000000000, 0xe8d4a51000000000, 0x9184e72a00000000,
+ 0xb5e620f480000000, 0xe35fa931a0000000, 0x8e1bc9bf04000000,
+ 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},
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+ {0xb51d13aea4a488dd, 0x6babab6398bdbe42},
+ {0xe264589a4dcdab14, 0xc696963c7eed2dd2},
+ {0x8d7eb76070a08aec, 0xfc1e1de5cf543ca3},
+ {0xb0de65388cc8ada8, 0x3b25a55f43294bcc},
+ {0xdd15fe86affad912, 0x49ef0eb713f39ebf},
+ {0x8a2dbf142dfcc7ab, 0x6e3569326c784338},
+ {0xacb92ed9397bf996, 0x49c2c37f07965405},
+ {0xd7e77a8f87daf7fb, 0xdc33745ec97be907},
+ {0x86f0ac99b4e8dafd, 0x69a028bb3ded71a4},
+ {0xa8acd7c0222311bc, 0xc40832ea0d68ce0d},
+ {0xd2d80db02aabd62b, 0xf50a3fa490c30191},
+ {0x83c7088e1aab65db, 0x792667c6da79e0fb},
+ {0xa4b8cab1a1563f52, 0x577001b891185939},
+ {0xcde6fd5e09abcf26, 0xed4c0226b55e6f87},
+ {0x80b05e5ac60b6178, 0x544f8158315b05b5},
+ {0xa0dc75f1778e39d6, 0x696361ae3db1c722},
+ {0xc913936dd571c84c, 0x03bc3a19cd1e38ea},
+ {0xfb5878494ace3a5f, 0x04ab48a04065c724},
+ {0x9d174b2dcec0e47b, 0x62eb0d64283f9c77},
+ {0xc45d1df942711d9a, 0x3ba5d0bd324f8395},
+ {0xf5746577930d6500, 0xca8f44ec7ee3647a},
+ {0x9968bf6abbe85f20, 0x7e998b13cf4e1ecc},
+ {0xbfc2ef456ae276e8, 0x9e3fedd8c321a67f},
+ {0xefb3ab16c59b14a2, 0xc5cfe94ef3ea101f},
+ {0x95d04aee3b80ece5, 0xbba1f1d158724a13},
+ {0xbb445da9ca61281f, 0x2a8a6e45ae8edc98},
+ {0xea1575143cf97226, 0xf52d09d71a3293be},
+ {0x924d692ca61be758, 0x593c2626705f9c57},
+ {0xb6e0c377cfa2e12e, 0x6f8b2fb00c77836d},
+ {0xe498f455c38b997a, 0x0b6dfb9c0f956448},
+ {0x8edf98b59a373fec, 0x4724bd4189bd5ead},
+ {0xb2977ee300c50fe7, 0x58edec91ec2cb658},
+ {0xdf3d5e9bc0f653e1, 0x2f2967b66737e3ee},
+ {0x8b865b215899f46c, 0xbd79e0d20082ee75},
+ {0xae67f1e9aec07187, 0xecd8590680a3aa12},
+ {0xda01ee641a708de9, 0xe80e6f4820cc9496},
+ {0x884134fe908658b2, 0x3109058d147fdcde},
+ {0xaa51823e34a7eede, 0xbd4b46f0599fd416},
+ {0xd4e5e2cdc1d1ea96, 0x6c9e18ac7007c91b},
+ {0x850fadc09923329e, 0x03e2cf6bc604ddb1},
+ {0xa6539930bf6bff45, 0x84db8346b786151d},
+ {0xcfe87f7cef46ff16, 0xe612641865679a64},
+ {0x81f14fae158c5f6e, 0x4fcb7e8f3f60c07f},
+ {0xa26da3999aef7749, 0xe3be5e330f38f09e},
+ {0xcb090c8001ab551c, 0x5cadf5bfd3072cc6},
+ {0xfdcb4fa002162a63, 0x73d9732fc7c8f7f7},
+ {0x9e9f11c4014dda7e, 0x2867e7fddcdd9afb},
+ {0xc646d63501a1511d, 0xb281e1fd541501b9},
+ {0xf7d88bc24209a565, 0x1f225a7ca91a4227},
+ {0x9ae757596946075f, 0x3375788de9b06959},
+ {0xc1a12d2fc3978937, 0x0052d6b1641c83af},
+ {0xf209787bb47d6b84, 0xc0678c5dbd23a49b},
+ {0x9745eb4d50ce6332, 0xf840b7ba963646e1},
+ {0xbd176620a501fbff, 0xb650e5a93bc3d899},
+ {0xec5d3fa8ce427aff, 0xa3e51f138ab4cebf},
+ {0x93ba47c980e98cdf, 0xc66f336c36b10138},
+ {0xb8a8d9bbe123f017, 0xb80b0047445d4185},
+ {0xe6d3102ad96cec1d, 0xa60dc059157491e6},
+ {0x9043ea1ac7e41392, 0x87c89837ad68db30},
+ {0xb454e4a179dd1877, 0x29babe4598c311fc},
+ {0xe16a1dc9d8545e94, 0xf4296dd6fef3d67b},
+ {0x8ce2529e2734bb1d, 0x1899e4a65f58660d},
+ {0xb01ae745b101e9e4, 0x5ec05dcff72e7f90},
+ {0xdc21a1171d42645d, 0x76707543f4fa1f74},
+ {0x899504ae72497eba, 0x6a06494a791c53a9},
+ {0xabfa45da0edbde69, 0x0487db9d17636893},
+ {0xd6f8d7509292d603, 0x45a9d2845d3c42b7},
+ {0x865b86925b9bc5c2, 0x0b8a2392ba45a9b3},
+ {0xa7f26836f282b732, 0x8e6cac7768d7141f},
+ {0xd1ef0244af2364ff, 0x3207d795430cd927},
+ {0x8335616aed761f1f, 0x7f44e6bd49e807b9},
+ {0xa402b9c5a8d3a6e7, 0x5f16206c9c6209a7},
+ {0xcd036837130890a1, 0x36dba887c37a8c10},
+ {0x802221226be55a64, 0xc2494954da2c978a},
+ {0xa02aa96b06deb0fd, 0xf2db9baa10b7bd6d},
+ {0xc83553c5c8965d3d, 0x6f92829494e5acc8},
+ {0xfa42a8b73abbf48c, 0xcb772339ba1f17fa},
+ {0x9c69a97284b578d7, 0xff2a760414536efc},
+ {0xc38413cf25e2d70d, 0xfef5138519684abb},
+ {0xf46518c2ef5b8cd1, 0x7eb258665fc25d6a},
+ {0x98bf2f79d5993802, 0xef2f773ffbd97a62},
+ {0xbeeefb584aff8603, 0xaafb550ffacfd8fb},
+ {0xeeaaba2e5dbf6784, 0x95ba2a53f983cf39},
+ {0x952ab45cfa97a0b2, 0xdd945a747bf26184},
+ {0xba756174393d88df, 0x94f971119aeef9e5},
+ {0xe912b9d1478ceb17, 0x7a37cd5601aab85e},
+ {0x91abb422ccb812ee, 0xac62e055c10ab33b},
+ {0xb616a12b7fe617aa, 0x577b986b314d600a},
+ {0xe39c49765fdf9d94, 0xed5a7e85fda0b80c},
+ {0x8e41ade9fbebc27d, 0x14588f13be847308},
+ {0xb1d219647ae6b31c, 0x596eb2d8ae258fc9},
+ {0xde469fbd99a05fe3, 0x6fca5f8ed9aef3bc},
+ {0x8aec23d680043bee, 0x25de7bb9480d5855},
+ {0xada72ccc20054ae9, 0xaf561aa79a10ae6b},
+ {0xd910f7ff28069da4, 0x1b2ba1518094da05},
+ {0x87aa9aff79042286, 0x90fb44d2f05d0843},
+ {0xa99541bf57452b28, 0x353a1607ac744a54},
+ {0xd3fa922f2d1675f2, 0x42889b8997915ce9},
+ {0x847c9b5d7c2e09b7, 0x69956135febada12},
+ {0xa59bc234db398c25, 0x43fab9837e699096},
+ {0xcf02b2c21207ef2e, 0x94f967e45e03f4bc},
+ {0x8161afb94b44f57d, 0x1d1be0eebac278f6},
+ {0xa1ba1ba79e1632dc, 0x6462d92a69731733},
+ {0xca28a291859bbf93, 0x7d7b8f7503cfdcff},
+ {0xfcb2cb35e702af78, 0x5cda735244c3d43f},
+ {0x9defbf01b061adab, 0x3a0888136afa64a8},
+ {0xc56baec21c7a1916, 0x088aaa1845b8fdd1},
+ {0xf6c69a72a3989f5b, 0x8aad549e57273d46},
+ {0x9a3c2087a63f6399, 0x36ac54e2f678864c},
+ {0xc0cb28a98fcf3c7f, 0x84576a1bb416a7de},
+ {0xf0fdf2d3f3c30b9f, 0x656d44a2a11c51d6},
+ {0x969eb7c47859e743, 0x9f644ae5a4b1b326},
+ {0xbc4665b596706114, 0x873d5d9f0dde1fef},
+ {0xeb57ff22fc0c7959, 0xa90cb506d155a7eb},
+ {0x9316ff75dd87cbd8, 0x09a7f12442d588f3},
+ {0xb7dcbf5354e9bece, 0x0c11ed6d538aeb30},
+ {0xe5d3ef282a242e81, 0x8f1668c8a86da5fb},
+ {0x8fa475791a569d10, 0xf96e017d694487bd},
+ {0xb38d92d760ec4455, 0x37c981dcc395a9ad},
+ {0xe070f78d3927556a, 0x85bbe253f47b1418},
+ {0x8c469ab843b89562, 0x93956d7478ccec8f},
+ {0xaf58416654a6babb, 0x387ac8d1970027b3},
+ {0xdb2e51bfe9d0696a, 0x06997b05fcc0319f},
+ {0x88fcf317f22241e2, 0x441fece3bdf81f04},
+ {0xab3c2fddeeaad25a, 0xd527e81cad7626c4},
+ {0xd60b3bd56a5586f1, 0x8a71e223d8d3b075},
+ {0x85c7056562757456, 0xf6872d5667844e4a},
+ {0xa738c6bebb12d16c, 0xb428f8ac016561dc},
+ {0xd106f86e69d785c7, 0xe13336d701beba53},
+ {0x82a45b450226b39c, 0xecc0024661173474},
+ {0xa34d721642b06084, 0x27f002d7f95d0191},
+ {0xcc20ce9bd35c78a5, 0x31ec038df7b441f5},
+ {0xff290242c83396ce, 0x7e67047175a15272},
+ {0x9f79a169bd203e41, 0x0f0062c6e984d387},
+ {0xc75809c42c684dd1, 0x52c07b78a3e60869},
+ {0xf92e0c3537826145, 0xa7709a56ccdf8a83},
+ {0x9bbcc7a142b17ccb, 0x88a66076400bb692},
+ {0xc2abf989935ddbfe, 0x6acff893d00ea436},
+ {0xf356f7ebf83552fe, 0x0583f6b8c4124d44},
+ {0x98165af37b2153de, 0xc3727a337a8b704b},
+ {0xbe1bf1b059e9a8d6, 0x744f18c0592e4c5d},
+ {0xeda2ee1c7064130c, 0x1162def06f79df74},
+ {0x9485d4d1c63e8be7, 0x8addcb5645ac2ba9},
+ {0xb9a74a0637ce2ee1, 0x6d953e2bd7173693},
+ {0xe8111c87c5c1ba99, 0xc8fa8db6ccdd0438},
+ {0x910ab1d4db9914a0, 0x1d9c9892400a22a3},
+ {0xb54d5e4a127f59c8, 0x2503beb6d00cab4c},
+ {0xe2a0b5dc971f303a, 0x2e44ae64840fd61e},
+ {0x8da471a9de737e24, 0x5ceaecfed289e5d3},
+ {0xb10d8e1456105dad, 0x7425a83e872c5f48},
+ {0xdd50f1996b947518, 0xd12f124e28f7771a},
+ {0x8a5296ffe33cc92f, 0x82bd6b70d99aaa70},
+ {0xace73cbfdc0bfb7b, 0x636cc64d1001550c},
+ {0xd8210befd30efa5a, 0x3c47f7e05401aa4f},
+ {0x8714a775e3e95c78, 0x65acfaec34810a72},
+ {0xa8d9d1535ce3b396, 0x7f1839a741a14d0e},
+ {0xd31045a8341ca07c, 0x1ede48111209a051},
+ {0x83ea2b892091e44d, 0x934aed0aab460433},
+ {0xa4e4b66b68b65d60, 0xf81da84d56178540},
+ {0xce1de40642e3f4b9, 0x36251260ab9d668f},
+ {0x80d2ae83e9ce78f3, 0xc1d72b7c6b42601a},
+ {0xa1075a24e4421730, 0xb24cf65b8612f820},
+ {0xc94930ae1d529cfc, 0xdee033f26797b628},
+ {0xfb9b7cd9a4a7443c, 0x169840ef017da3b2},
+ {0x9d412e0806e88aa5, 0x8e1f289560ee864f},
+ {0xc491798a08a2ad4e, 0xf1a6f2bab92a27e3},
+ {0xf5b5d7ec8acb58a2, 0xae10af696774b1dc},
+ {0x9991a6f3d6bf1765, 0xacca6da1e0a8ef2a},
+ {0xbff610b0cc6edd3f, 0x17fd090a58d32af4},
+ {0xeff394dcff8a948e, 0xddfc4b4cef07f5b1},
+ {0x95f83d0a1fb69cd9, 0x4abdaf101564f98f},
+ {0xbb764c4ca7a4440f, 0x9d6d1ad41abe37f2},
+ {0xea53df5fd18d5513, 0x84c86189216dc5ee},
+ {0x92746b9be2f8552c, 0x32fd3cf5b4e49bb5},
+ {0xb7118682dbb66a77, 0x3fbc8c33221dc2a2},
+ {0xe4d5e82392a40515, 0x0fabaf3feaa5334b},
+ {0x8f05b1163ba6832d, 0x29cb4d87f2a7400f},
+ {0xb2c71d5bca9023f8, 0x743e20e9ef511013},
+ {0xdf78e4b2bd342cf6, 0x914da9246b255417},
+ {0x8bab8eefb6409c1a, 0x1ad089b6c2f7548f},
+ {0xae9672aba3d0c320, 0xa184ac2473b529b2},
+ {0xda3c0f568cc4f3e8, 0xc9e5d72d90a2741f},
+ {0x8865899617fb1871, 0x7e2fa67c7a658893},
+ {0xaa7eebfb9df9de8d, 0xddbb901b98feeab8},
+ {0xd51ea6fa85785631, 0x552a74227f3ea566},
+ {0x8533285c936b35de, 0xd53a88958f872760},
+ {0xa67ff273b8460356, 0x8a892abaf368f138},
+ {0xd01fef10a657842c, 0x2d2b7569b0432d86},
+ {0x8213f56a67f6b29b, 0x9c3b29620e29fc74},
+ {0xa298f2c501f45f42, 0x8349f3ba91b47b90},
+ {0xcb3f2f7642717713, 0x241c70a936219a74},
+ {0xfe0efb53d30dd4d7, 0xed238cd383aa0111},
+ {0x9ec95d1463e8a506, 0xf4363804324a40ab},
+ {0xc67bb4597ce2ce48, 0xb143c6053edcd0d6},
+ {0xf81aa16fdc1b81da, 0xdd94b7868e94050b},
+ {0x9b10a4e5e9913128, 0xca7cf2b4191c8327},
+ {0xc1d4ce1f63f57d72, 0xfd1c2f611f63a3f1},
+ {0xf24a01a73cf2dccf, 0xbc633b39673c8ced},
+ {0x976e41088617ca01, 0xd5be0503e085d814},
+ {0xbd49d14aa79dbc82, 0x4b2d8644d8a74e19},
+ {0xec9c459d51852ba2, 0xddf8e7d60ed1219f},
+ {0x93e1ab8252f33b45, 0xcabb90e5c942b504},
+ {0xb8da1662e7b00a17, 0x3d6a751f3b936244},
+ {0xe7109bfba19c0c9d, 0x0cc512670a783ad5},
+ {0x906a617d450187e2, 0x27fb2b80668b24c6},
+ {0xb484f9dc9641e9da, 0xb1f9f660802dedf7},
+ {0xe1a63853bbd26451, 0x5e7873f8a0396974},
+ {0x8d07e33455637eb2, 0xdb0b487b6423e1e9},
+ {0xb049dc016abc5e5f, 0x91ce1a9a3d2cda63},
+ {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 carrier_uint two_fl = two_fc - 1;
+
+ if (!include_left_endpoint ||
+ exponent < float_info<T>::case_fc_pm_half_lower_threshold ||
+ exponent > float_info<T>::divisibility_check_by_5_threshold) {
+ // If the left endpoint is not included, the condition for
+ // success is z^(f) < delta^(f) (odd parity).
+ // Otherwise, the inequalities on exponent ensure that
+ // x is not an integer, so if z^(f) >= delta^(f) (even parity), we in fact
+ // have strict inequality.
+ if (!cache_accessor<T>::compute_mul_parity(two_fl, cache, beta).parity) {
+ goto small_divisor_case_label;
+ }
+ } else {
+ const typename cache_accessor<T>::compute_mul_parity_result x_mul =
+ cache_accessor<T>::compute_mul_parity(two_fl, cache, beta);
+ if (!x_mul.parity && !x_mul.is_integer) {
+ 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);
+}
+
+#ifdef _WIN32
+namespace detail {
+using dword = conditional_t<sizeof(long) == 4, unsigned long, unsigned>;
+extern "C" __declspec(dllimport) int __stdcall WriteConsoleW( //
+ void*, const void*, dword, dword*, void*);
+} // namespace detail
+#endif
+
+namespace detail {
+FMT_FUNC void print(std::FILE* f, string_view text) {
+#ifdef _WIN32
+ 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;
+ }
+ // Fallback to fwrite on failure. It can happen if the output has been
+ // redirected to NUL.
+ }
+#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_
generated by cgit v1.2.3 (git 2.39.1) at 2024-06-04 08:53:45 +0000