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diff --git a/subprojects/fmt/include/fmt/format-inl.h b/subprojects/fmt/include/fmt/format-inl.h
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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 <cassert>
+#include <cctype>
+#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"
+
+// Dummy implementations of strerror_r and strerror_s called if corresponding
+// system functions are not available.
+inline fmt::detail::null<> strerror_r(int, char*, ...) { return {}; }
+inline fmt::detail::null<> strerror_s(char*, size_t, ...) { return {}; }
+
+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();
+}
+
+#ifndef _MSC_VER
+# define FMT_SNPRINTF snprintf
+#else // _MSC_VER
+inline int fmt_snprintf(char* buffer, size_t size, const char* format, ...) {
+ va_list args;
+ va_start(args, format);
+ int result = vsnprintf_s(buffer, size, _TRUNCATE, format, args);
+ va_end(args);
+ return result;
+}
+# define FMT_SNPRINTF fmt_snprintf
+#endif // _MSC_VER
+
+// A portable thread-safe version of strerror.
+// Sets buffer to point to a string describing the error code.
+// This can be either a pointer to a string stored in buffer,
+// or a pointer to some static immutable string.
+// Returns one of the following values:
+// 0 - success
+// ERANGE - buffer is not large enough to store the error message
+// other - failure
+// Buffer should be at least of size 1.
+inline int safe_strerror(int error_code, char*& buffer,
+ size_t buffer_size) FMT_NOEXCEPT {
+ FMT_ASSERT(buffer != nullptr && buffer_size != 0, "invalid buffer");
+
+ class dispatcher {
+ private:
+ int error_code_;
+ char*& buffer_;
+ size_t buffer_size_;
+
+ // A noop assignment operator to avoid bogus warnings.
+ void operator=(const dispatcher&) {}
+
+ // Handle the result of XSI-compliant version of strerror_r.
+ int handle(int result) {
+ // glibc versions before 2.13 return result in errno.
+ return result == -1 ? errno : result;
+ }
+
+ // Handle the result of GNU-specific version of strerror_r.
+ FMT_MAYBE_UNUSED
+ int handle(char* message) {
+ // If the buffer is full then the message is probably truncated.
+ if (message == buffer_ && strlen(buffer_) == buffer_size_ - 1)
+ return ERANGE;
+ buffer_ = message;
+ return 0;
+ }
+
+ // Handle the case when strerror_r is not available.
+ FMT_MAYBE_UNUSED
+ int handle(detail::null<>) {
+ return fallback(strerror_s(buffer_, buffer_size_, error_code_));
+ }
+
+ // Fallback to strerror_s when strerror_r is not available.
+ FMT_MAYBE_UNUSED
+ int fallback(int result) {
+ // If the buffer is full then the message is probably truncated.
+ return result == 0 && strlen(buffer_) == buffer_size_ - 1 ? ERANGE
+ : result;
+ }
+
+#if !FMT_MSC_VER
+ // Fallback to strerror if strerror_r and strerror_s are not available.
+ int fallback(detail::null<>) {
+ errno = 0;
+ buffer_ = strerror(error_code_);
+ return errno;
+ }
+#endif
+
+ public:
+ dispatcher(int err_code, char*& buf, size_t buf_size)
+ : error_code_(err_code), buffer_(buf), buffer_size_(buf_size) {}
+
+ int run() { return handle(strerror_r(error_code_, buffer_, buffer_size_)); }
+ };
+ return dispatcher(error_code, buffer, buffer_size).run();
+}
+
+FMT_FUNC void format_error_code(detail::buffer<char>& out, int error_code,
+ string_view message) FMT_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, "{}{}", message, SEP);
+ format_to(it, "{}{}", ERROR_STR, error_code);
+ assert(out.size() <= inline_buffer_size);
+}
+
+FMT_FUNC void report_error(format_func func, int error_code,
+ string_view message) FMT_NOEXCEPT {
+ memory_buffer full_message;
+ func(full_message, error_code, message);
+ // Don't use fwrite_fully because the latter may throw.
+ (void)std::fwrite(full_message.data(), full_message.size(), 1, stderr);
+ 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, "cannot write to file"));
+}
+} // namespace detail
+
+#if !defined(FMT_STATIC_THOUSANDS_SEPARATOR)
+namespace detail {
+
+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 std::string grouping_impl(locale_ref loc) {
+ return std::use_facet<std::numpunct<Char>>(loc.get<std::locale>()).grouping();
+}
+template <typename Char> FMT_FUNC Char thousands_sep_impl(locale_ref loc) {
+ return std::use_facet<std::numpunct<Char>>(loc.get<std::locale>())
+ .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();
+}
+} // namespace detail
+#else
+template <typename Char>
+FMT_FUNC std::string detail::grouping_impl(locale_ref) {
+ return "\03";
+}
+template <typename Char> FMT_FUNC Char detail::thousands_sep_impl(locale_ref) {
+ return FMT_STATIC_THOUSANDS_SEPARATOR;
+}
+template <typename Char> FMT_FUNC Char detail::decimal_point_impl(locale_ref) {
+ return '.';
+}
+#endif
+
+FMT_API FMT_FUNC format_error::~format_error() FMT_NOEXCEPT = default;
+FMT_API FMT_FUNC system_error::~system_error() FMT_NOEXCEPT = default;
+
+FMT_FUNC void system_error::init(int err_code, string_view format_str,
+ format_args args) {
+ error_code_ = err_code;
+ memory_buffer buffer;
+ format_system_error(buffer, err_code, vformat(format_str, args));
+ std::runtime_error& base = *this;
+ base = std::runtime_error(to_string(buffer));
+}
+
+namespace detail {
+
+template <> FMT_FUNC int count_digits<4>(detail::fallback_uintptr n) {
+ // fallback_uintptr is always stored in little endian.
+ int i = static_cast<int>(sizeof(void*)) - 1;
+ while (i > 0 && n.value[i] == 0) --i;
+ auto char_digits = std::numeric_limits<unsigned char>::digits / 4;
+ return i >= 0 ? i * char_digits + count_digits<4, unsigned>(n.value[i]) : 1;
+}
+
+template <typename T>
+const typename basic_data<T>::digit_pair basic_data<T>::digits[] = {
+ {'0', '0'}, {'0', '1'}, {'0', '2'}, {'0', '3'}, {'0', '4'}, {'0', '5'},
+ {'0', '6'}, {'0', '7'}, {'0', '8'}, {'0', '9'}, {'1', '0'}, {'1', '1'},
+ {'1', '2'}, {'1', '3'}, {'1', '4'}, {'1', '5'}, {'1', '6'}, {'1', '7'},
+ {'1', '8'}, {'1', '9'}, {'2', '0'}, {'2', '1'}, {'2', '2'}, {'2', '3'},
+ {'2', '4'}, {'2', '5'}, {'2', '6'}, {'2', '7'}, {'2', '8'}, {'2', '9'},
+ {'3', '0'}, {'3', '1'}, {'3', '2'}, {'3', '3'}, {'3', '4'}, {'3', '5'},
+ {'3', '6'}, {'3', '7'}, {'3', '8'}, {'3', '9'}, {'4', '0'}, {'4', '1'},
+ {'4', '2'}, {'4', '3'}, {'4', '4'}, {'4', '5'}, {'4', '6'}, {'4', '7'},
+ {'4', '8'}, {'4', '9'}, {'5', '0'}, {'5', '1'}, {'5', '2'}, {'5', '3'},
+ {'5', '4'}, {'5', '5'}, {'5', '6'}, {'5', '7'}, {'5', '8'}, {'5', '9'},
+ {'6', '0'}, {'6', '1'}, {'6', '2'}, {'6', '3'}, {'6', '4'}, {'6', '5'},
+ {'6', '6'}, {'6', '7'}, {'6', '8'}, {'6', '9'}, {'7', '0'}, {'7', '1'},
+ {'7', '2'}, {'7', '3'}, {'7', '4'}, {'7', '5'}, {'7', '6'}, {'7', '7'},
+ {'7', '8'}, {'7', '9'}, {'8', '0'}, {'8', '1'}, {'8', '2'}, {'8', '3'},
+ {'8', '4'}, {'8', '5'}, {'8', '6'}, {'8', '7'}, {'8', '8'}, {'8', '9'},
+ {'9', '0'}, {'9', '1'}, {'9', '2'}, {'9', '3'}, {'9', '4'}, {'9', '5'},
+ {'9', '6'}, {'9', '7'}, {'9', '8'}, {'9', '9'}};
+
+template <typename T>
+const char basic_data<T>::hex_digits[] = "0123456789abcdef";
+
+#define FMT_POWERS_OF_10(factor) \
+ factor * 10, (factor)*100, (factor)*1000, (factor)*10000, (factor)*100000, \
+ (factor)*1000000, (factor)*10000000, (factor)*100000000, \
+ (factor)*1000000000
+
+template <typename T>
+const uint64_t basic_data<T>::powers_of_10_64[] = {
+ 1, FMT_POWERS_OF_10(1), FMT_POWERS_OF_10(1000000000ULL),
+ 10000000000000000000ULL};
+
+template <typename T>
+const uint32_t basic_data<T>::zero_or_powers_of_10_32[] = {0,
+ FMT_POWERS_OF_10(1)};
+template <typename T>
+const uint64_t basic_data<T>::zero_or_powers_of_10_64[] = {
+ 0, FMT_POWERS_OF_10(1), FMT_POWERS_OF_10(1000000000ULL),
+ 10000000000000000000ULL};
+
+template <typename T>
+const uint32_t basic_data<T>::zero_or_powers_of_10_32_new[] = {
+ 0, 0, FMT_POWERS_OF_10(1)};
+
+template <typename T>
+const uint64_t basic_data<T>::zero_or_powers_of_10_64_new[] = {
+ 0, 0, FMT_POWERS_OF_10(1), FMT_POWERS_OF_10(1000000000ULL),
+ 10000000000000000000ULL};
+
+// Normalized 64-bit significands of pow(10, k), for k = -348, -340, ..., 340.
+// These are generated by support/compute-powers.py.
+template <typename T>
+const uint64_t basic_data<T>::grisu_pow10_significands[] = {
+ 0xfa8fd5a0081c0288, 0xbaaee17fa23ebf76, 0x8b16fb203055ac76,
+ 0xcf42894a5dce35ea, 0x9a6bb0aa55653b2d, 0xe61acf033d1a45df,
+ 0xab70fe17c79ac6ca, 0xff77b1fcbebcdc4f, 0xbe5691ef416bd60c,
+ 0x8dd01fad907ffc3c, 0xd3515c2831559a83, 0x9d71ac8fada6c9b5,
+ 0xea9c227723ee8bcb, 0xaecc49914078536d, 0x823c12795db6ce57,
+ 0xc21094364dfb5637, 0x9096ea6f3848984f, 0xd77485cb25823ac7,
+ 0xa086cfcd97bf97f4, 0xef340a98172aace5, 0xb23867fb2a35b28e,
+ 0x84c8d4dfd2c63f3b, 0xc5dd44271ad3cdba, 0x936b9fcebb25c996,
+ 0xdbac6c247d62a584, 0xa3ab66580d5fdaf6, 0xf3e2f893dec3f126,
+ 0xb5b5ada8aaff80b8, 0x87625f056c7c4a8b, 0xc9bcff6034c13053,
+ 0x964e858c91ba2655, 0xdff9772470297ebd, 0xa6dfbd9fb8e5b88f,
+ 0xf8a95fcf88747d94, 0xb94470938fa89bcf, 0x8a08f0f8bf0f156b,
+ 0xcdb02555653131b6, 0x993fe2c6d07b7fac, 0xe45c10c42a2b3b06,
+ 0xaa242499697392d3, 0xfd87b5f28300ca0e, 0xbce5086492111aeb,
+ 0x8cbccc096f5088cc, 0xd1b71758e219652c, 0x9c40000000000000,
+ 0xe8d4a51000000000, 0xad78ebc5ac620000, 0x813f3978f8940984,
+ 0xc097ce7bc90715b3, 0x8f7e32ce7bea5c70, 0xd5d238a4abe98068,
+ 0x9f4f2726179a2245, 0xed63a231d4c4fb27, 0xb0de65388cc8ada8,
+ 0x83c7088e1aab65db, 0xc45d1df942711d9a, 0x924d692ca61be758,
+ 0xda01ee641a708dea, 0xa26da3999aef774a, 0xf209787bb47d6b85,
+ 0xb454e4a179dd1877, 0x865b86925b9bc5c2, 0xc83553c5c8965d3d,
+ 0x952ab45cfa97a0b3, 0xde469fbd99a05fe3, 0xa59bc234db398c25,
+ 0xf6c69a72a3989f5c, 0xb7dcbf5354e9bece, 0x88fcf317f22241e2,
+ 0xcc20ce9bd35c78a5, 0x98165af37b2153df, 0xe2a0b5dc971f303a,
+ 0xa8d9d1535ce3b396, 0xfb9b7cd9a4a7443c, 0xbb764c4ca7a44410,
+ 0x8bab8eefb6409c1a, 0xd01fef10a657842c, 0x9b10a4e5e9913129,
+ 0xe7109bfba19c0c9d, 0xac2820d9623bf429, 0x80444b5e7aa7cf85,
+ 0xbf21e44003acdd2d, 0x8e679c2f5e44ff8f, 0xd433179d9c8cb841,
+ 0x9e19db92b4e31ba9, 0xeb96bf6ebadf77d9, 0xaf87023b9bf0ee6b,
+};
+
+// Binary exponents of pow(10, k), for k = -348, -340, ..., 340, corresponding
+// to significands above.
+template <typename T>
+const int16_t basic_data<T>::grisu_pow10_exponents[] = {
+ -1220, -1193, -1166, -1140, -1113, -1087, -1060, -1034, -1007, -980, -954,
+ -927, -901, -874, -847, -821, -794, -768, -741, -715, -688, -661,
+ -635, -608, -582, -555, -529, -502, -475, -449, -422, -396, -369,
+ -343, -316, -289, -263, -236, -210, -183, -157, -130, -103, -77,
+ -50, -24, 3, 30, 56, 83, 109, 136, 162, 189, 216,
+ 242, 269, 295, 322, 348, 375, 402, 428, 455, 481, 508,
+ 534, 561, 588, 614, 641, 667, 694, 720, 747, 774, 800,
+ 827, 853, 880, 907, 933, 960, 986, 1013, 1039, 1066};
+
+template <typename T>
+const divtest_table_entry<uint32_t> basic_data<T>::divtest_table_for_pow5_32[] =
+ {{0x00000001, 0xffffffff}, {0xcccccccd, 0x33333333},
+ {0xc28f5c29, 0x0a3d70a3}, {0x26e978d5, 0x020c49ba},
+ {0x3afb7e91, 0x0068db8b}, {0x0bcbe61d, 0x0014f8b5},
+ {0x68c26139, 0x000431bd}, {0xae8d46a5, 0x0000d6bf},
+ {0x22e90e21, 0x00002af3}, {0x3a2e9c6d, 0x00000897},
+ {0x3ed61f49, 0x000001b7}};
+
+template <typename T>
+const divtest_table_entry<uint64_t> basic_data<T>::divtest_table_for_pow5_64[] =
+ {{0x0000000000000001, 0xffffffffffffffff},
+ {0xcccccccccccccccd, 0x3333333333333333},
+ {0x8f5c28f5c28f5c29, 0x0a3d70a3d70a3d70},
+ {0x1cac083126e978d5, 0x020c49ba5e353f7c},
+ {0xd288ce703afb7e91, 0x0068db8bac710cb2},
+ {0x5d4e8fb00bcbe61d, 0x0014f8b588e368f0},
+ {0x790fb65668c26139, 0x000431bde82d7b63},
+ {0xe5032477ae8d46a5, 0x0000d6bf94d5e57a},
+ {0xc767074b22e90e21, 0x00002af31dc46118},
+ {0x8e47ce423a2e9c6d, 0x0000089705f4136b},
+ {0x4fa7f60d3ed61f49, 0x000001b7cdfd9d7b},
+ {0x0fee64690c913975, 0x00000057f5ff85e5},
+ {0x3662e0e1cf503eb1, 0x000000119799812d},
+ {0xa47a2cf9f6433fbd, 0x0000000384b84d09},
+ {0x54186f653140a659, 0x00000000b424dc35},
+ {0x7738164770402145, 0x0000000024075f3d},
+ {0xe4a4d1417cd9a041, 0x000000000734aca5},
+ {0xc75429d9e5c5200d, 0x000000000170ef54},
+ {0xc1773b91fac10669, 0x000000000049c977},
+ {0x26b172506559ce15, 0x00000000000ec1e4},
+ {0xd489e3a9addec2d1, 0x000000000002f394},
+ {0x90e860bb892c8d5d, 0x000000000000971d},
+ {0x502e79bf1b6f4f79, 0x0000000000001e39},
+ {0xdcd618596be30fe5, 0x000000000000060b}};
+
+template <typename T>
+const uint64_t basic_data<T>::dragonbox_pow10_significands_64[] = {
+ 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, 0x813f3978f8940984,
+ 0xa18f07d736b90be5, 0xc9f2c9cd04674ede, 0xfc6f7c4045812296,
+ 0x9dc5ada82b70b59d, 0xc5371912364ce305, 0xf684df56c3e01bc6,
+ 0x9a130b963a6c115c, 0xc097ce7bc90715b3, 0xf0bdc21abb48db20,
+ 0x96769950b50d88f4, 0xbc143fa4e250eb31, 0xeb194f8e1ae525fd,
+ 0x92efd1b8d0cf37be, 0xb7abc627050305ad, 0xe596b7b0c643c719,
+ 0x8f7e32ce7bea5c6f, 0xb35dbf821ae4f38b, 0xe0352f62a19e306e};
+
+template <typename T>
+const uint128_wrapper basic_data<T>::dragonbox_pow10_significands_128[] = {
+#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},
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+ {0xeeea5d5004981478, 0x1858ccfce06cac74},
+ {0x95527a5202df0ccb, 0x0f37801e0c43ebc8},
+ {0xbaa718e68396cffd, 0xd30560258f54e6ba},
+ {0xe950df20247c83fd, 0x47c6b82ef32a2069},
+ {0x91d28b7416cdd27e, 0x4cdc331d57fa5441},
+ {0xb6472e511c81471d, 0xe0133fe4adf8e952},
+ {0xe3d8f9e563a198e5, 0x58180fddd97723a6},
+ {0x8e679c2f5e44ff8f, 0x570f09eaa7ea7648},
+ {0xb201833b35d63f73, 0x2cd2cc6551e513da},
+ {0xde81e40a034bcf4f, 0xf8077f7ea65e58d1},
+ {0x8b112e86420f6191, 0xfb04afaf27faf782},
+ {0xadd57a27d29339f6, 0x79c5db9af1f9b563},
+ {0xd94ad8b1c7380874, 0x18375281ae7822bc},
+ {0x87cec76f1c830548, 0x8f2293910d0b15b5},
+ {0xa9c2794ae3a3c69a, 0xb2eb3875504ddb22},
+ {0xd433179d9c8cb841, 0x5fa60692a46151eb},
+ {0x849feec281d7f328, 0xdbc7c41ba6bcd333},
+ {0xa5c7ea73224deff3, 0x12b9b522906c0800},
+ {0xcf39e50feae16bef, 0xd768226b34870a00},
+ {0x81842f29f2cce375, 0xe6a1158300d46640},
+ {0xa1e53af46f801c53, 0x60495ae3c1097fd0},
+ {0xca5e89b18b602368, 0x385bb19cb14bdfc4},
+ {0xfcf62c1dee382c42, 0x46729e03dd9ed7b5},
+ {0x9e19db92b4e31ba9, 0x6c07a2c26a8346d1},
+ {0xc5a05277621be293, 0xc7098b7305241885},
+ {0xf70867153aa2db38, 0xb8cbee4fc66d1ea7}
+#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, 0x02f236d04753d5b4},
+ {0xcde6fd5e09abcf26, 0xed4c0226b55e6f86},
+ {0xa6539930bf6bff45, 0x84db8346b786151c},
+ {0x865b86925b9bc5c2, 0x0b8a2392ba45a9b2},
+ {0xd910f7ff28069da4, 0x1b2ba1518094da04},
+ {0xaf58416654a6babb, 0x387ac8d1970027b2},
+ {0x8da471a9de737e24, 0x5ceaecfed289e5d2},
+ {0xe4d5e82392a40515, 0x0fabaf3feaa5334a},
+ {0xb8da1662e7b00a17, 0x3d6a751f3b936243},
+ {0x95527a5202df0ccb, 0x0f37801e0c43ebc8}
+#endif
+};
+
+#if !FMT_USE_FULL_CACHE_DRAGONBOX
+template <typename T>
+const uint64_t basic_data<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};
+
+template <typename T>
+const uint32_t basic_data<T>::dragonbox_pow10_recovery_errors[] = {
+ 0x50001400, 0x54044100, 0x54014555, 0x55954415, 0x54115555, 0x00000001,
+ 0x50000000, 0x00104000, 0x54010004, 0x05004001, 0x55555544, 0x41545555,
+ 0x54040551, 0x15445545, 0x51555514, 0x10000015, 0x00101100, 0x01100015,
+ 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x04450514, 0x45414110,
+ 0x55555145, 0x50544050, 0x15040155, 0x11054140, 0x50111514, 0x11451454,
+ 0x00400541, 0x00000000, 0x55555450, 0x10056551, 0x10054011, 0x55551014,
+ 0x69514555, 0x05151109, 0x00155555};
+#endif
+
+template <typename T>
+const char basic_data<T>::foreground_color[] = "\x1b[38;2;";
+template <typename T>
+const char basic_data<T>::background_color[] = "\x1b[48;2;";
+template <typename T> const char basic_data<T>::reset_color[] = "\x1b[0m";
+template <typename T> const wchar_t basic_data<T>::wreset_color[] = L"\x1b[0m";
+template <typename T> const char basic_data<T>::signs[] = {0, '-', '+', ' '};
+template <typename T>
+const char basic_data<T>::left_padding_shifts[] = {31, 31, 0, 1, 0};
+template <typename T>
+const char basic_data<T>::right_padding_shifts[] = {0, 31, 0, 1, 0};
+
+template <typename T> struct bits {
+ static FMT_CONSTEXPR_DECL const int value =
+ static_cast<int>(sizeof(T) * std::numeric_limits<unsigned char>::digits);
+};
+
+class fp;
+template <int SHIFT = 0> fp normalize(fp value);
+
+// Lower (upper) boundary is a value half way between a floating-point value
+// and its predecessor (successor). Boundaries have the same exponent as the
+// value so only significands are stored.
+struct boundaries {
+ uint64_t lower;
+ uint64_t upper;
+};
+
+// A handmade floating-point number f * pow(2, e).
+class fp {
+ private:
+ using significand_type = uint64_t;
+
+ template <typename Float>
+ using is_supported_float = bool_constant<sizeof(Float) == sizeof(uint64_t) ||
+ sizeof(Float) == sizeof(uint32_t)>;
+
+ public:
+ significand_type f;
+ int e;
+
+ // All sizes are in bits.
+ // Subtract 1 to account for an implicit most significant bit in the
+ // normalized form.
+ static FMT_CONSTEXPR_DECL const int double_significand_size =
+ std::numeric_limits<double>::digits - 1;
+ static FMT_CONSTEXPR_DECL const uint64_t implicit_bit =
+ 1ULL << double_significand_size;
+ static FMT_CONSTEXPR_DECL const int significand_size =
+ bits<significand_type>::value;
+
+ fp() : f(0), e(0) {}
+ fp(uint64_t f_val, int e_val) : f(f_val), e(e_val) {}
+
+ // Constructs fp from an IEEE754 double. It is a template to prevent compile
+ // errors on platforms where double is not IEEE754.
+ template <typename Double> explicit fp(Double d) { assign(d); }
+
+ // Assigns d to this and return true iff predecessor is closer than successor.
+ template <typename Float, FMT_ENABLE_IF(is_supported_float<Float>::value)>
+ bool assign(Float d) {
+ // Assume float is in the format [sign][exponent][significand].
+ using limits = std::numeric_limits<Float>;
+ const int float_significand_size = limits::digits - 1;
+ const int exponent_size =
+ bits<Float>::value - float_significand_size - 1; // -1 for sign
+ const uint64_t float_implicit_bit = 1ULL << float_significand_size;
+ const uint64_t significand_mask = float_implicit_bit - 1;
+ const uint64_t exponent_mask = (~0ULL >> 1) & ~significand_mask;
+ const int exponent_bias = (1 << exponent_size) - limits::max_exponent - 1;
+ constexpr bool is_double = sizeof(Float) == sizeof(uint64_t);
+ auto u = bit_cast<conditional_t<is_double, uint64_t, uint32_t>>(d);
+ f = u & significand_mask;
+ int biased_e =
+ static_cast<int>((u & exponent_mask) >> float_significand_size);
+ // Predecessor is closer if d is a normalized power of 2 (f == 0) other than
+ // the smallest normalized number (biased_e > 1).
+ bool is_predecessor_closer = f == 0 && biased_e > 1;
+ if (biased_e != 0)
+ f += float_implicit_bit;
+ else
+ biased_e = 1; // Subnormals use biased exponent 1 (min exponent).
+ e = biased_e - exponent_bias - float_significand_size;
+ return is_predecessor_closer;
+ }
+
+ template <typename Float, FMT_ENABLE_IF(!is_supported_float<Float>::value)>
+ bool assign(Float) {
+ *this = fp();
+ return false;
+ }
+};
+
+// Normalizes the value converted from double and multiplied by (1 << SHIFT).
+template <int SHIFT> fp normalize(fp value) {
+ // Handle subnormals.
+ const auto shifted_implicit_bit = fp::implicit_bit << SHIFT;
+ while ((value.f & shifted_implicit_bit) == 0) {
+ value.f <<= 1;
+ --value.e;
+ }
+ // Subtract 1 to account for hidden bit.
+ const auto offset =
+ fp::significand_size - fp::double_significand_size - SHIFT - 1;
+ value.f <<= offset;
+ value.e -= offset;
+ return value;
+}
+
+inline bool operator==(fp x, fp y) { return x.f == y.f && x.e == y.e; }
+
+// Computes lhs * rhs / pow(2, 64) rounded to nearest with half-up tie breaking.
+inline uint64_t multiply(uint64_t lhs, uint64_t rhs) {
+#if FMT_USE_INT128
+ auto product = static_cast<__uint128_t>(lhs) * rhs;
+ auto f = static_cast<uint64_t>(product >> 64);
+ return (static_cast<uint64_t>(product) & (1ULL << 63)) != 0 ? f + 1 : f;
+#else
+ // Multiply 32-bit parts of significands.
+ uint64_t mask = (1ULL << 32) - 1;
+ uint64_t a = lhs >> 32, b = lhs & mask;
+ uint64_t c = rhs >> 32, d = rhs & mask;
+ uint64_t ac = a * c, bc = b * c, ad = a * d, bd = b * d;
+ // Compute mid 64-bit of result and round.
+ uint64_t mid = (bd >> 32) + (ad & mask) + (bc & mask) + (1U << 31);
+ return ac + (ad >> 32) + (bc >> 32) + (mid >> 32);
+#endif
+}
+
+inline fp operator*(fp x, fp y) { return {multiply(x.f, y.f), x.e + y.e + 64}; }
+
+// Returns a cached power of 10 `c_k = c_k.f * pow(2, c_k.e)` such that its
+// (binary) exponent satisfies `min_exponent <= c_k.e <= min_exponent + 28`.
+inline fp get_cached_power(int min_exponent, int& pow10_exponent) {
+ const int shift = 32;
+ const auto significand = static_cast<int64_t>(data::log10_2_significand);
+ int index = static_cast<int>(
+ ((min_exponent + fp::significand_size - 1) * (significand >> shift) +
+ ((int64_t(1) << shift) - 1)) // ceil
+ >> 32 // arithmetic shift
+ );
+ // Decimal exponent of the first (smallest) cached power of 10.
+ const int first_dec_exp = -348;
+ // Difference between 2 consecutive decimal exponents in cached powers of 10.
+ const int dec_exp_step = 8;
+ index = (index - first_dec_exp - 1) / dec_exp_step + 1;
+ pow10_exponent = first_dec_exp + index * dec_exp_step;
+ return {data::grisu_pow10_significands[index],
+ data::grisu_pow10_exponents[index]};
+}
+
+// A simple accumulator to hold the sums of terms in bigint::square if uint128_t
+// is not available.
+struct accumulator {
+ uint64_t lower;
+ uint64_t upper;
+
+ accumulator() : lower(0), upper(0) {}
+ explicit operator uint32_t() const { return static_cast<uint32_t>(lower); }
+
+ void operator+=(uint64_t n) {
+ lower += n;
+ if (lower < n) ++upper;
+ }
+ void operator>>=(int shift) {
+ assert(shift == 32);
+ (void)shift;
+ lower = (upper << 32) | (lower >> 32);
+ upper >>= 32;
+ }
+};
+
+class bigint {
+ private:
+ // A bigint is stored as an array of bigits (big digits), with bigit at index
+ // 0 being the least significant one.
+ using bigit = uint32_t;
+ using double_bigit = uint64_t;
+ enum { bigits_capacity = 32 };
+ basic_memory_buffer<bigit, bigits_capacity> bigits_;
+ int exp_;
+
+ bigit operator[](int index) const { return bigits_[to_unsigned(index)]; }
+ bigit& operator[](int index) { return bigits_[to_unsigned(index)]; }
+
+ static FMT_CONSTEXPR_DECL const int bigit_bits = bits<bigit>::value;
+
+ friend struct formatter<bigint>;
+
+ void subtract_bigits(int index, bigit other, bigit& borrow) {
+ auto result = static_cast<double_bigit>((*this)[index]) - other - borrow;
+ (*this)[index] = static_cast<bigit>(result);
+ borrow = static_cast<bigit>(result >> (bigit_bits * 2 - 1));
+ }
+
+ void remove_leading_zeros() {
+ int num_bigits = static_cast<int>(bigits_.size()) - 1;
+ while (num_bigits > 0 && (*this)[num_bigits] == 0) --num_bigits;
+ bigits_.resize(to_unsigned(num_bigits + 1));
+ }
+
+ // Computes *this -= other assuming aligned bigints and *this >= other.
+ void subtract_aligned(const bigint& other) {
+ FMT_ASSERT(other.exp_ >= exp_, "unaligned bigints");
+ FMT_ASSERT(compare(*this, other) >= 0, "");
+ bigit borrow = 0;
+ int i = other.exp_ - exp_;
+ for (size_t j = 0, n = other.bigits_.size(); j != n; ++i, ++j)
+ subtract_bigits(i, other.bigits_[j], borrow);
+ while (borrow > 0) subtract_bigits(i, 0, borrow);
+ remove_leading_zeros();
+ }
+
+ void multiply(uint32_t value) {
+ const double_bigit wide_value = value;
+ bigit carry = 0;
+ for (size_t i = 0, n = bigits_.size(); i < n; ++i) {
+ double_bigit result = bigits_[i] * wide_value + carry;
+ bigits_[i] = static_cast<bigit>(result);
+ carry = static_cast<bigit>(result >> bigit_bits);
+ }
+ if (carry != 0) bigits_.push_back(carry);
+ }
+
+ void multiply(uint64_t value) {
+ const bigit mask = ~bigit(0);
+ const double_bigit lower = value & mask;
+ const double_bigit upper = value >> bigit_bits;
+ double_bigit carry = 0;
+ for (size_t i = 0, n = bigits_.size(); i < n; ++i) {
+ double_bigit result = bigits_[i] * lower + (carry & mask);
+ carry =
+ bigits_[i] * upper + (result >> bigit_bits) + (carry >> bigit_bits);
+ bigits_[i] = static_cast<bigit>(result);
+ }
+ while (carry != 0) {
+ bigits_.push_back(carry & mask);
+ carry >>= bigit_bits;
+ }
+ }
+
+ public:
+ bigint() : exp_(0) {}
+ explicit bigint(uint64_t n) { assign(n); }
+ ~bigint() { assert(bigits_.capacity() <= bigits_capacity); }
+
+ bigint(const bigint&) = delete;
+ void operator=(const bigint&) = delete;
+
+ void assign(const bigint& other) {
+ auto size = other.bigits_.size();
+ bigits_.resize(size);
+ auto data = other.bigits_.data();
+ std::copy(data, data + size, make_checked(bigits_.data(), size));
+ exp_ = other.exp_;
+ }
+
+ void assign(uint64_t n) {
+ size_t num_bigits = 0;
+ do {
+ bigits_[num_bigits++] = n & ~bigit(0);
+ n >>= bigit_bits;
+ } while (n != 0);
+ bigits_.resize(num_bigits);
+ exp_ = 0;
+ }
+
+ int num_bigits() const { return static_cast<int>(bigits_.size()) + exp_; }
+
+ FMT_NOINLINE bigint& operator<<=(int shift) {
+ assert(shift >= 0);
+ exp_ += shift / bigit_bits;
+ shift %= bigit_bits;
+ if (shift == 0) return *this;
+ bigit carry = 0;
+ for (size_t i = 0, n = bigits_.size(); i < n; ++i) {
+ bigit c = bigits_[i] >> (bigit_bits - shift);
+ bigits_[i] = (bigits_[i] << shift) + carry;
+ carry = c;
+ }
+ if (carry != 0) bigits_.push_back(carry);
+ return *this;
+ }
+
+ template <typename Int> bigint& operator*=(Int value) {
+ FMT_ASSERT(value > 0, "");
+ multiply(uint32_or_64_or_128_t<Int>(value));
+ return *this;
+ }
+
+ friend int compare(const bigint& lhs, const bigint& rhs) {
+ int num_lhs_bigits = lhs.num_bigits(), num_rhs_bigits = rhs.num_bigits();
+ if (num_lhs_bigits != num_rhs_bigits)
+ return num_lhs_bigits > num_rhs_bigits ? 1 : -1;
+ int i = static_cast<int>(lhs.bigits_.size()) - 1;
+ int j = static_cast<int>(rhs.bigits_.size()) - 1;
+ int end = i - j;
+ if (end < 0) end = 0;
+ for (; i >= end; --i, --j) {
+ bigit lhs_bigit = lhs[i], rhs_bigit = rhs[j];
+ if (lhs_bigit != rhs_bigit) return lhs_bigit > rhs_bigit ? 1 : -1;
+ }
+ if (i != j) return i > j ? 1 : -1;
+ return 0;
+ }
+
+ // Returns compare(lhs1 + lhs2, rhs).
+ friend int add_compare(const bigint& lhs1, const bigint& lhs2,
+ const bigint& rhs) {
+ int max_lhs_bigits = (std::max)(lhs1.num_bigits(), lhs2.num_bigits());
+ int num_rhs_bigits = rhs.num_bigits();
+ if (max_lhs_bigits + 1 < num_rhs_bigits) return -1;
+ if (max_lhs_bigits > num_rhs_bigits) return 1;
+ auto get_bigit = [](const bigint& n, int i) -> bigit {
+ return i >= n.exp_ && i < n.num_bigits() ? n[i - n.exp_] : 0;
+ };
+ double_bigit borrow = 0;
+ int min_exp = (std::min)((std::min)(lhs1.exp_, lhs2.exp_), rhs.exp_);
+ for (int i = num_rhs_bigits - 1; i >= min_exp; --i) {
+ double_bigit sum =
+ static_cast<double_bigit>(get_bigit(lhs1, i)) + get_bigit(lhs2, i);
+ bigit rhs_bigit = get_bigit(rhs, i);
+ if (sum > rhs_bigit + borrow) return 1;
+ borrow = rhs_bigit + borrow - sum;
+ if (borrow > 1) return -1;
+ borrow <<= bigit_bits;
+ }
+ return borrow != 0 ? -1 : 0;
+ }
+
+ // Assigns pow(10, exp) to this bigint.
+ void assign_pow10(int exp) {
+ assert(exp >= 0);
+ if (exp == 0) return assign(1);
+ // Find the top bit.
+ int bitmask = 1;
+ while (exp >= bitmask) bitmask <<= 1;
+ bitmask >>= 1;
+ // pow(10, exp) = pow(5, exp) * pow(2, exp). First compute pow(5, exp) by
+ // repeated squaring and multiplication.
+ assign(5);
+ bitmask >>= 1;
+ while (bitmask != 0) {
+ square();
+ if ((exp & bitmask) != 0) *this *= 5;
+ bitmask >>= 1;
+ }
+ *this <<= exp; // Multiply by pow(2, exp) by shifting.
+ }
+
+ void square() {
+ basic_memory_buffer<bigit, bigits_capacity> n(std::move(bigits_));
+ int num_bigits = static_cast<int>(bigits_.size());
+ int num_result_bigits = 2 * num_bigits;
+ bigits_.resize(to_unsigned(num_result_bigits));
+ using accumulator_t = conditional_t<FMT_USE_INT128, uint128_t, accumulator>;
+ auto sum = accumulator_t();
+ for (int bigit_index = 0; bigit_index < num_bigits; ++bigit_index) {
+ // Compute bigit at position bigit_index of the result by adding
+ // cross-product terms n[i] * n[j] such that i + j == bigit_index.
+ for (int i = 0, j = bigit_index; j >= 0; ++i, --j) {
+ // Most terms are multiplied twice which can be optimized in the future.
+ sum += static_cast<double_bigit>(n[i]) * n[j];
+ }
+ (*this)[bigit_index] = static_cast<bigit>(sum);
+ sum >>= bits<bigit>::value; // Compute the carry.
+ }
+ // Do the same for the top half.
+ for (int bigit_index = num_bigits; bigit_index < num_result_bigits;
+ ++bigit_index) {
+ for (int j = num_bigits - 1, i = bigit_index - j; i < num_bigits;)
+ sum += static_cast<double_bigit>(n[i++]) * n[j--];
+ (*this)[bigit_index] = static_cast<bigit>(sum);
+ sum >>= bits<bigit>::value;
+ }
+ --num_result_bigits;
+ remove_leading_zeros();
+ exp_ *= 2;
+ }
+
+ // If this bigint has a bigger exponent than other, adds trailing zero to make
+ // exponents equal. This simplifies some operations such as subtraction.
+ void align(const bigint& other) {
+ int exp_difference = exp_ - other.exp_;
+ if (exp_difference <= 0) return;
+ int num_bigits = static_cast<int>(bigits_.size());
+ bigits_.resize(to_unsigned(num_bigits + exp_difference));
+ for (int i = num_bigits - 1, j = i + exp_difference; i >= 0; --i, --j)
+ bigits_[j] = bigits_[i];
+ std::uninitialized_fill_n(bigits_.data(), exp_difference, 0);
+ exp_ -= exp_difference;
+ }
+
+ // Divides this bignum by divisor, assigning the remainder to this and
+ // returning the quotient.
+ int divmod_assign(const bigint& divisor) {
+ FMT_ASSERT(this != &divisor, "");
+ if (compare(*this, divisor) < 0) return 0;
+ FMT_ASSERT(divisor.bigits_[divisor.bigits_.size() - 1u] != 0, "");
+ align(divisor);
+ int quotient = 0;
+ do {
+ subtract_aligned(divisor);
+ ++quotient;
+ } while (compare(*this, divisor) >= 0);
+ return quotient;
+ }
+};
+
+enum class round_direction { unknown, up, down };
+
+// Given the divisor (normally a power of 10), the remainder = v % divisor for
+// some number v and the error, returns whether v should be rounded up, down, or
+// whether the rounding direction can't be determined due to error.
+// error should be less than divisor / 2.
+inline round_direction get_round_direction(uint64_t divisor, uint64_t remainder,
+ uint64_t error) {
+ FMT_ASSERT(remainder < divisor, ""); // divisor - remainder won't overflow.
+ FMT_ASSERT(error < divisor, ""); // divisor - error won't overflow.
+ FMT_ASSERT(error < divisor - error, ""); // error * 2 won't overflow.
+ // Round down if (remainder + error) * 2 <= divisor.
+ if (remainder <= divisor - remainder && error * 2 <= divisor - remainder * 2)
+ return round_direction::down;
+ // Round up if (remainder - error) * 2 >= divisor.
+ if (remainder >= error &&
+ remainder - error >= divisor - (remainder - error)) {
+ return round_direction::up;
+ }
+ return round_direction::unknown;
+}
+
+namespace digits {
+enum result {
+ more, // Generate more digits.
+ done, // Done generating digits.
+ error // Digit generation cancelled due to an error.
+};
+}
+
+// Generates output using the Grisu digit-gen algorithm.
+// error: the size of the region (lower, upper) outside of which numbers
+// definitely do not round to value (Delta in Grisu3).
+template <typename Handler>
+FMT_ALWAYS_INLINE digits::result grisu_gen_digits(fp value, uint64_t error,
+ int& exp, Handler& handler) {
+ const fp one(1ULL << -value.e, value.e);
+ // The integral part of scaled value (p1 in Grisu) = value / one. It cannot be
+ // zero because it contains a product of two 64-bit numbers with MSB set (due
+ // to normalization) - 1, shifted right by at most 60 bits.
+ auto integral = static_cast<uint32_t>(value.f >> -one.e);
+ FMT_ASSERT(integral != 0, "");
+ FMT_ASSERT(integral == value.f >> -one.e, "");
+ // The fractional part of scaled value (p2 in Grisu) c = value % one.
+ uint64_t fractional = value.f & (one.f - 1);
+ exp = count_digits(integral); // kappa in Grisu.
+ // Divide by 10 to prevent overflow.
+ auto result = handler.on_start(data::powers_of_10_64[exp - 1] << -one.e,
+ value.f / 10, error * 10, exp);
+ if (result != digits::more) return result;
+ // Generate digits for the integral part. This can produce up to 10 digits.
+ do {
+ uint32_t digit = 0;
+ auto divmod_integral = [&](uint32_t divisor) {
+ digit = integral / divisor;
+ integral %= divisor;
+ };
+ // This optimization by Milo Yip reduces the number of integer divisions by
+ // one per iteration.
+ switch (exp) {
+ case 10:
+ divmod_integral(1000000000);
+ break;
+ case 9:
+ divmod_integral(100000000);
+ break;
+ case 8:
+ divmod_integral(10000000);
+ break;
+ case 7:
+ divmod_integral(1000000);
+ break;
+ case 6:
+ divmod_integral(100000);
+ break;
+ case 5:
+ divmod_integral(10000);
+ break;
+ case 4:
+ divmod_integral(1000);
+ break;
+ case 3:
+ divmod_integral(100);
+ break;
+ case 2:
+ divmod_integral(10);
+ break;
+ case 1:
+ digit = integral;
+ integral = 0;
+ break;
+ default:
+ FMT_ASSERT(false, "invalid number of digits");
+ }
+ --exp;
+ auto remainder = (static_cast<uint64_t>(integral) << -one.e) + fractional;
+ result = handler.on_digit(static_cast<char>('0' + digit),
+ data::powers_of_10_64[exp] << -one.e, remainder,
+ error, exp, true);
+ if (result != digits::more) return result;
+ } while (exp > 0);
+ // Generate digits for the fractional part.
+ for (;;) {
+ fractional *= 10;
+ error *= 10;
+ char digit = static_cast<char>('0' + (fractional >> -one.e));
+ fractional &= one.f - 1;
+ --exp;
+ result = handler.on_digit(digit, one.f, fractional, error, exp, false);
+ if (result != digits::more) return result;
+ }
+}
+
+// The fixed precision digit handler.
+struct fixed_handler {
+ char* buf;
+ int size;
+ int precision;
+ int exp10;
+ bool fixed;
+
+ digits::result on_start(uint64_t divisor, uint64_t remainder, uint64_t error,
+ int& exp) {
+ // Non-fixed formats require at least one digit and no precision adjustment.
+ if (!fixed) return digits::more;
+ // Adjust fixed precision by exponent because it is relative to decimal
+ // point.
+ precision += exp + exp10;
+ // Check if precision is satisfied just by leading zeros, e.g.
+ // format("{:.2f}", 0.001) gives "0.00" without generating any digits.
+ if (precision > 0) return digits::more;
+ if (precision < 0) return digits::done;
+ auto dir = get_round_direction(divisor, remainder, error);
+ if (dir == round_direction::unknown) return digits::error;
+ buf[size++] = dir == round_direction::up ? '1' : '0';
+ return digits::done;
+ }
+
+ digits::result on_digit(char digit, uint64_t divisor, uint64_t remainder,
+ uint64_t error, int, bool integral) {
+ FMT_ASSERT(remainder < divisor, "");
+ buf[size++] = digit;
+ if (!integral && error >= remainder) return digits::error;
+ if (size < precision) return digits::more;
+ if (!integral) {
+ // Check if error * 2 < divisor with overflow prevention.
+ // The check is not needed for the integral part because error = 1
+ // and divisor > (1 << 32) there.
+ if (error >= divisor || error >= divisor - error) return digits::error;
+ } else {
+ FMT_ASSERT(error == 1 && divisor > 2, "");
+ }
+ auto dir = get_round_direction(divisor, remainder, error);
+ if (dir != round_direction::up)
+ return dir == round_direction::down ? digits::done : digits::error;
+ ++buf[size - 1];
+ for (int i = size - 1; i > 0 && buf[i] > '9'; --i) {
+ buf[i] = '0';
+ ++buf[i - 1];
+ }
+ if (buf[0] > '9') {
+ buf[0] = '1';
+ if (fixed)
+ buf[size++] = '0';
+ else
+ ++exp10;
+ }
+ return digits::done;
+ }
+};
+
+// Implementation of Dragonbox algorithm: https://github.com/jk-jeon/dragonbox.
+namespace dragonbox {
+// Computes 128-bit result of multiplication of two 64-bit unsigned integers.
+FMT_SAFEBUFFERS inline uint128_wrapper umul128(uint64_t x,
+ uint64_t y) FMT_NOEXCEPT {
+#if FMT_USE_INT128
+ return static_cast<uint128_t>(x) * static_cast<uint128_t>(y);
+#elif defined(_MSC_VER) && defined(_M_X64)
+ uint128_wrapper result;
+ result.low_ = _umul128(x, y, &result.high_);
+ return result;
+#else
+ const uint64_t mask = (uint64_t(1) << 32) - uint64_t(1);
+
+ 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
+}
+
+// Computes upper 64 bits of multiplication of two 64-bit unsigned integers.
+FMT_SAFEBUFFERS inline uint64_t umul128_upper64(uint64_t x,
+ uint64_t y) FMT_NOEXCEPT {
+#if FMT_USE_INT128
+ auto p = static_cast<uint128_t>(x) * static_cast<uint128_t>(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 64 bits of multiplication of a 64-bit unsigned integer and a
+// 128-bit unsigned integer.
+FMT_SAFEBUFFERS inline uint64_t umul192_upper64(uint64_t x, uint128_wrapper y)
+ FMT_NOEXCEPT {
+ uint128_wrapper g0 = umul128(x, y.high());
+ g0 += umul128_upper64(x, y.low());
+ return g0.high();
+}
+
+// Computes upper 32 bits of multiplication of a 32-bit unsigned integer and a
+// 64-bit unsigned integer.
+inline uint32_t umul96_upper32(uint32_t x, uint64_t y) FMT_NOEXCEPT {
+ return static_cast<uint32_t>(umul128_upper64(x, y));
+}
+
+// Computes middle 64 bits of multiplication of a 64-bit unsigned integer and a
+// 128-bit unsigned integer.
+FMT_SAFEBUFFERS inline uint64_t umul192_middle64(uint64_t x, uint128_wrapper y)
+ FMT_NOEXCEPT {
+ uint64_t g01 = x * y.high();
+ uint64_t g10 = umul128_upper64(x, y.low());
+ return g01 + g10;
+}
+
+// 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) FMT_NOEXCEPT {
+ return x * y;
+}
+
+// Computes floor(log10(pow(2, e))) for e in [-1700, 1700] using the method from
+// https://fmt.dev/papers/Grisu-Exact.pdf#page=5, section 3.4.
+inline int floor_log10_pow2(int e) FMT_NOEXCEPT {
+ FMT_ASSERT(e <= 1700 && e >= -1700, "too large exponent");
+ const int shift = 22;
+ return (e * static_cast<int>(data::log10_2_significand >> (64 - shift))) >>
+ shift;
+}
+
+// Various fast log computations.
+inline int floor_log2_pow10(int e) FMT_NOEXCEPT {
+ FMT_ASSERT(e <= 1233 && e >= -1233, "too large exponent");
+ const uint64_t log2_10_integer_part = 3;
+ const uint64_t log2_10_fractional_digits = 0x5269e12f346e2bf9;
+ const int shift_amount = 19;
+ return (e * static_cast<int>(
+ (log2_10_integer_part << shift_amount) |
+ (log2_10_fractional_digits >> (64 - shift_amount)))) >>
+ shift_amount;
+}
+inline int floor_log10_pow2_minus_log10_4_over_3(int e) FMT_NOEXCEPT {
+ FMT_ASSERT(e <= 1700 && e >= -1700, "too large exponent");
+ const uint64_t log10_4_over_3_fractional_digits = 0x1ffbfc2bbc780375;
+ const int shift_amount = 22;
+ return (e * static_cast<int>(data::log10_2_significand >>
+ (64 - shift_amount)) -
+ static_cast<int>(log10_4_over_3_fractional_digits >>
+ (64 - shift_amount))) >>
+ shift_amount;
+}
+
+// Returns true iff x is divisible by pow(2, exp).
+inline bool divisible_by_power_of_2(uint32_t x, int exp) FMT_NOEXCEPT {
+ FMT_ASSERT(exp >= 1, "");
+ FMT_ASSERT(x != 0, "");
+#ifdef FMT_BUILTIN_CTZ
+ return FMT_BUILTIN_CTZ(x) >= exp;
+#else
+ return exp < num_bits<uint32_t>() && x == ((x >> exp) << exp);
+#endif
+}
+inline bool divisible_by_power_of_2(uint64_t x, int exp) FMT_NOEXCEPT {
+ FMT_ASSERT(exp >= 1, "");
+ FMT_ASSERT(x != 0, "");
+#ifdef FMT_BUILTIN_CTZLL
+ return FMT_BUILTIN_CTZLL(x) >= exp;
+#else
+ return exp < num_bits<uint64_t>() && x == ((x >> exp) << exp);
+#endif
+}
+
+// Returns true iff x is divisible by pow(5, exp).
+inline bool divisible_by_power_of_5(uint32_t x, int exp) FMT_NOEXCEPT {
+ FMT_ASSERT(exp <= 10, "too large exponent");
+ return x * data::divtest_table_for_pow5_32[exp].mod_inv <=
+ data::divtest_table_for_pow5_32[exp].max_quotient;
+}
+inline bool divisible_by_power_of_5(uint64_t x, int exp) FMT_NOEXCEPT {
+ FMT_ASSERT(exp <= 23, "too large exponent");
+ return x * data::divtest_table_for_pow5_64[exp].mod_inv <=
+ data::divtest_table_for_pow5_64[exp].max_quotient;
+}
+
+// Replaces n by floor(n / pow(5, N)) returning true if and only if n is
+// divisible by pow(5, N).
+// Precondition: n <= 2 * pow(5, N + 1).
+template <int N>
+bool check_divisibility_and_divide_by_pow5(uint32_t& n) FMT_NOEXCEPT {
+ static constexpr struct {
+ uint32_t magic_number;
+ int bits_for_comparison;
+ uint32_t threshold;
+ int shift_amount;
+ } infos[] = {{0xcccd, 16, 0x3333, 18}, {0xa429, 8, 0x0a, 20}};
+ constexpr auto info = infos[N - 1];
+ n *= info.magic_number;
+ const uint32_t comparison_mask = (1u << info.bits_for_comparison) - 1;
+ bool result = (n & comparison_mask) <= info.threshold;
+ 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) FMT_NOEXCEPT {
+ static constexpr struct {
+ uint32_t magic_number;
+ int shift_amount;
+ uint32_t divisor_times_10;
+ } infos[] = {{0xcccd, 19, 100}, {0xa3d8, 22, 1000}};
+ constexpr auto info = infos[N - 1];
+ FMT_ASSERT(n <= info.divisor_times_10, "n is too large");
+ return n * info.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) FMT_NOEXCEPT {
+ return n / float_info<float>::big_divisor;
+}
+// Computes floor(n / 10^(kappa + 1)) (double)
+inline uint64_t divide_by_10_to_kappa_plus_1(uint64_t n) FMT_NOEXCEPT {
+ return umul128_upper64(n, 0x83126e978d4fdf3c) >> 9;
+}
+
+// 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) FMT_NOEXCEPT {
+ FMT_ASSERT(k >= float_info<float>::min_k && k <= float_info<float>::max_k,
+ "k is out of range");
+ return data::dragonbox_pow10_significands_64[k - float_info<float>::min_k];
+ }
+
+ static carrier_uint compute_mul(carrier_uint u,
+ const cache_entry_type& cache) FMT_NOEXCEPT {
+ return umul96_upper32(u, cache);
+ }
+
+ static uint32_t compute_delta(const cache_entry_type& cache,
+ int beta_minus_1) FMT_NOEXCEPT {
+ return static_cast<uint32_t>(cache >> (64 - 1 - beta_minus_1));
+ }
+
+ static bool compute_mul_parity(carrier_uint two_f,
+ const cache_entry_type& cache,
+ int beta_minus_1) FMT_NOEXCEPT {
+ FMT_ASSERT(beta_minus_1 >= 1, "");
+ FMT_ASSERT(beta_minus_1 < 64, "");
+
+ return ((umul96_lower64(two_f, cache) >> (64 - beta_minus_1)) & 1) != 0;
+ }
+
+ static carrier_uint compute_left_endpoint_for_shorter_interval_case(
+ const cache_entry_type& cache, int beta_minus_1) FMT_NOEXCEPT {
+ return static_cast<carrier_uint>(
+ (cache - (cache >> (float_info<float>::significand_bits + 2))) >>
+ (64 - float_info<float>::significand_bits - 1 - beta_minus_1));
+ }
+
+ static carrier_uint compute_right_endpoint_for_shorter_interval_case(
+ const cache_entry_type& cache, int beta_minus_1) FMT_NOEXCEPT {
+ return static_cast<carrier_uint>(
+ (cache + (cache >> (float_info<float>::significand_bits + 1))) >>
+ (64 - float_info<float>::significand_bits - 1 - beta_minus_1));
+ }
+
+ static carrier_uint compute_round_up_for_shorter_interval_case(
+ const cache_entry_type& cache, int beta_minus_1) FMT_NOEXCEPT {
+ return (static_cast<carrier_uint>(
+ cache >>
+ (64 - float_info<float>::significand_bits - 2 - beta_minus_1)) +
+ 1) /
+ 2;
+ }
+};
+
+template <> struct cache_accessor<double> {
+ using carrier_uint = float_info<double>::carrier_uint;
+ using cache_entry_type = uint128_wrapper;
+
+ static uint128_wrapper get_cached_power(int k) FMT_NOEXCEPT {
+ FMT_ASSERT(k >= float_info<double>::min_k && k <= float_info<double>::max_k,
+ "k is out of range");
+
+#if FMT_USE_FULL_CACHE_DRAGONBOX
+ return data::dragonbox_pow10_significands_128[k -
+ float_info<double>::min_k];
+#else
+ 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_wrapper base_cache =
+ data::dragonbox_pow10_significands_128[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 = data::powers_of_5_64[offset];
+ uint128_wrapper recovered_cache = umul128(base_cache.high(), pow5);
+ uint128_wrapper middle_low =
+ umul128(base_cache.low() - (kb < 0 ? 1u : 0u), 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_wrapper{(recovered_cache.low() >> alpha) | high_to_middle,
+ ((middle_low.low() >> alpha) | middle_to_low)};
+
+ if (kb < 0) recovered_cache += 1;
+
+ // Get error.
+ int error_idx = (k - float_info<double>::min_k) / 16;
+ uint32_t error = (data::dragonbox_pow10_recovery_errors[error_idx] >>
+ ((k - float_info<double>::min_k) % 16) * 2) &
+ 0x3;
+
+ // Add the error back.
+ FMT_ASSERT(recovered_cache.low() + error >= recovered_cache.low(), "");
+ return {recovered_cache.high(), recovered_cache.low() + error};
+#endif
+ }
+
+ static carrier_uint compute_mul(carrier_uint u,
+ const cache_entry_type& cache) FMT_NOEXCEPT {
+ return umul192_upper64(u, cache);
+ }
+
+ static uint32_t compute_delta(cache_entry_type const& cache,
+ int beta_minus_1) FMT_NOEXCEPT {
+ return static_cast<uint32_t>(cache.high() >> (64 - 1 - beta_minus_1));
+ }
+
+ static bool compute_mul_parity(carrier_uint two_f,
+ const cache_entry_type& cache,
+ int beta_minus_1) FMT_NOEXCEPT {
+ FMT_ASSERT(beta_minus_1 >= 1, "");
+ FMT_ASSERT(beta_minus_1 < 64, "");
+
+ return ((umul192_middle64(two_f, cache) >> (64 - beta_minus_1)) & 1) != 0;
+ }
+
+ static carrier_uint compute_left_endpoint_for_shorter_interval_case(
+ const cache_entry_type& cache, int beta_minus_1) FMT_NOEXCEPT {
+ return (cache.high() -
+ (cache.high() >> (float_info<double>::significand_bits + 2))) >>
+ (64 - float_info<double>::significand_bits - 1 - beta_minus_1);
+ }
+
+ static carrier_uint compute_right_endpoint_for_shorter_interval_case(
+ const cache_entry_type& cache, int beta_minus_1) FMT_NOEXCEPT {
+ return (cache.high() +
+ (cache.high() >> (float_info<double>::significand_bits + 1))) >>
+ (64 - float_info<double>::significand_bits - 1 - beta_minus_1);
+ }
+
+ static carrier_uint compute_round_up_for_shorter_interval_case(
+ const cache_entry_type& cache, int beta_minus_1) FMT_NOEXCEPT {
+ return ((cache.high() >>
+ (64 - float_info<double>::significand_bits - 2 - beta_minus_1)) +
+ 1) /
+ 2;
+ }
+};
+
+// Various integer checks
+template <class T>
+bool is_left_endpoint_integer_shorter_interval(int exponent) FMT_NOEXCEPT {
+ return exponent >=
+ float_info<
+ T>::case_shorter_interval_left_endpoint_lower_threshold &&
+ exponent <=
+ float_info<T>::case_shorter_interval_left_endpoint_upper_threshold;
+}
+template <class T>
+bool is_endpoint_integer(typename float_info<T>::carrier_uint two_f,
+ int exponent, int minus_k) FMT_NOEXCEPT {
+ if (exponent < float_info<T>::case_fc_pm_half_lower_threshold) return false;
+ // For k >= 0.
+ if (exponent <= float_info<T>::case_fc_pm_half_upper_threshold) return true;
+ // For k < 0.
+ if (exponent > float_info<T>::divisibility_check_by_5_threshold) return false;
+ return divisible_by_power_of_5(two_f, minus_k);
+}
+
+template <class T>
+bool is_center_integer(typename float_info<T>::carrier_uint two_f, int exponent,
+ int minus_k) FMT_NOEXCEPT {
+ // Exponent for 5 is negative.
+ if (exponent > float_info<T>::divisibility_check_by_5_threshold) return false;
+ if (exponent > float_info<T>::case_fc_upper_threshold)
+ return divisible_by_power_of_5(two_f, minus_k);
+ // Both exponents are nonnegative.
+ if (exponent >= float_info<T>::case_fc_lower_threshold) return true;
+ // Exponent for 2 is negative.
+ return divisible_by_power_of_2(two_f, minus_k - exponent + 1);
+}
+
+// Remove trailing zeros from n and return the number of zeros removed (float)
+FMT_ALWAYS_INLINE int remove_trailing_zeros(uint32_t& n) FMT_NOEXCEPT {
+#ifdef FMT_BUILTIN_CTZ
+ int t = FMT_BUILTIN_CTZ(n);
+#else
+ int t = ctz(n);
+#endif
+ if (t > float_info<float>::max_trailing_zeros)
+ t = float_info<float>::max_trailing_zeros;
+
+ const uint32_t mod_inv1 = 0xcccccccd;
+ const uint32_t max_quotient1 = 0x33333333;
+ const uint32_t mod_inv2 = 0xc28f5c29;
+ const uint32_t max_quotient2 = 0x0a3d70a3;
+
+ int s = 0;
+ for (; s < t - 1; s += 2) {
+ if (n * mod_inv2 > max_quotient2) break;
+ n *= mod_inv2;
+ }
+ if (s < t && n * mod_inv1 <= max_quotient1) {
+ n *= mod_inv1;
+ ++s;
+ }
+ n >>= s;
+ return s;
+}
+
+// Removes trailing zeros and returns the number of zeros removed (double)
+FMT_ALWAYS_INLINE int remove_trailing_zeros(uint64_t& n) FMT_NOEXCEPT {
+#ifdef FMT_BUILTIN_CTZLL
+ int t = FMT_BUILTIN_CTZLL(n);
+#else
+ int t = ctzll(n);
+#endif
+ if (t > float_info<double>::max_trailing_zeros)
+ t = float_info<double>::max_trailing_zeros;
+ // Divide by 10^8 and reduce to 32-bits
+ // Since ret_value.significand <= (2^64 - 1) / 1000 < 10^17,
+ // both of the quotient and the r should fit in 32-bits
+
+ const uint32_t mod_inv1 = 0xcccccccd;
+ const uint32_t max_quotient1 = 0x33333333;
+ const uint64_t mod_inv8 = 0xc767074b22e90e21;
+ const uint64_t max_quotient8 = 0x00002af31dc46118;
+
+ // If the number is divisible by 1'0000'0000, work with the quotient
+ if (t >= 8) {
+ auto quotient_candidate = n * mod_inv8;
+
+ if (quotient_candidate <= max_quotient8) {
+ auto quotient = static_cast<uint32_t>(quotient_candidate >> 8);
+
+ int s = 8;
+ for (; s < t; ++s) {
+ if (quotient * mod_inv1 > max_quotient1) break;
+ quotient *= mod_inv1;
+ }
+ quotient >>= (s - 8);
+ n = quotient;
+ return s;
+ }
+ }
+
+ // Otherwise, work with the remainder
+ auto quotient = static_cast<uint32_t>(n / 100000000);
+ auto remainder = static_cast<uint32_t>(n - 100000000 * quotient);
+
+ if (t == 0 || remainder * mod_inv1 > max_quotient1) {
+ return 0;
+ }
+ remainder *= mod_inv1;
+
+ if (t == 1 || remainder * mod_inv1 > max_quotient1) {
+ n = (remainder >> 1) + quotient * 10000000ull;
+ return 1;
+ }
+ remainder *= mod_inv1;
+
+ if (t == 2 || remainder * mod_inv1 > max_quotient1) {
+ n = (remainder >> 2) + quotient * 1000000ull;
+ return 2;
+ }
+ remainder *= mod_inv1;
+
+ if (t == 3 || remainder * mod_inv1 > max_quotient1) {
+ n = (remainder >> 3) + quotient * 100000ull;
+ return 3;
+ }
+ remainder *= mod_inv1;
+
+ if (t == 4 || remainder * mod_inv1 > max_quotient1) {
+ n = (remainder >> 4) + quotient * 10000ull;
+ return 4;
+ }
+ remainder *= mod_inv1;
+
+ if (t == 5 || remainder * mod_inv1 > max_quotient1) {
+ n = (remainder >> 5) + quotient * 1000ull;
+ return 5;
+ }
+ remainder *= mod_inv1;
+
+ if (t == 6 || remainder * mod_inv1 > max_quotient1) {
+ n = (remainder >> 6) + quotient * 100ull;
+ return 6;
+ }
+ remainder *= mod_inv1;
+
+ n = (remainder >> 7) + quotient * 10ull;
+ return 7;
+}
+
+// The main algorithm for shorter interval case
+template <class T>
+FMT_ALWAYS_INLINE FMT_SAFEBUFFERS decimal_fp<T> shorter_interval_case(
+ int exponent) FMT_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_minus_1 = 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_minus_1);
+ auto zi = cache_accessor<T>::compute_right_endpoint_for_shorter_interval_case(
+ cache, beta_minus_1);
+
+ // 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_minus_1);
+ 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>
+FMT_SAFEBUFFERS decimal_fp<T> to_decimal(T x) FMT_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) << float_info<T>::significand_bits) - 1;
+ carrier_uint significand = (br & significand_mask);
+ int exponent = static_cast<int>((br & exponent_mask<T>()) >>
+ float_info<T>::significand_bits);
+
+ if (exponent != 0) { // Check if normal.
+ exponent += float_info<T>::exponent_bias - float_info<T>::significand_bits;
+
+ // Shorter interval case; proceed like Schubfach.
+ if (significand == 0) return shorter_interval_case<T>(exponent);
+
+ significand |=
+ (static_cast<carrier_uint>(1) << float_info<T>::significand_bits);
+ } else {
+ // Subnormal case; the interval is always regular.
+ if (significand == 0) return {0, 0};
+ exponent = float_info<T>::min_exponent - float_info<T>::significand_bits;
+ }
+
+ 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_minus_1 = 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_minus_1);
+ const carrier_uint two_fc = significand << 1;
+ const carrier_uint two_fr = two_fc | 1;
+ const carrier_uint zi =
+ cache_accessor<T>::compute_mul(two_fr << beta_minus_1, 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(zi);
+ uint32_t r = static_cast<uint32_t>(zi - float_info<T>::big_divisor *
+ ret_value.significand);
+
+ if (r > deltai) {
+ goto small_divisor_case_label;
+ } else if (r < deltai) {
+ // Exclude the right endpoint if necessary
+ if (r == 0 && !include_right_endpoint &&
+ is_endpoint_integer<T>(two_fr, exponent, minus_k)) {
+ --ret_value.significand;
+ r = float_info<T>::big_divisor;
+ goto small_divisor_case_label;
+ }
+ } else {
+ // r == deltai; compare fractional parts
+ // Check conditions in the order different from the paper
+ // to take advantage of short-circuiting
+ const carrier_uint two_fl = two_fc - 1;
+ if ((!include_left_endpoint ||
+ !is_endpoint_integer<T>(two_fl, exponent, minus_k)) &&
+ !cache_accessor<T>::compute_mul_parity(two_fl, cache, beta_minus_1)) {
+ 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;
+
+ const uint32_t mask = (1u << float_info<T>::kappa) - 1;
+ auto dist = r - (deltai / 2) + (float_info<T>::small_divisor / 2);
+
+ // Is dist divisible by 2^kappa?
+ if ((dist & mask) == 0) {
+ const bool approx_y_parity =
+ ((dist ^ (float_info<T>::small_divisor / 2)) & 1) != 0;
+ dist >>= float_info<T>::kappa;
+
+ // Is dist divisible by 5^kappa?
+ if (check_divisibility_and_divide_by_pow5<float_info<T>::kappa>(dist)) {
+ ret_value.significand += dist;
+
+ // 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
+ if (cache_accessor<T>::compute_mul_parity(two_fc, cache, beta_minus_1) !=
+ approx_y_parity) {
+ --ret_value.significand;
+ } else {
+ // If z^(f) >= epsilon^(f), we might have a tie
+ // when z^(f) == epsilon^(f), or equivalently, when y is an integer
+ if (is_center_integer<T>(two_fc, exponent, minus_k)) {
+ ret_value.significand = ret_value.significand % 2 == 0
+ ? ret_value.significand
+ : ret_value.significand - 1;
+ }
+ }
+ }
+ // Is dist not divisible by 5^kappa?
+ else {
+ ret_value.significand += dist;
+ }
+ }
+ // Is dist not divisible by 2^kappa?
+ else {
+ // Since we know dist is small, we might be able to optimize the division
+ // better than the compiler; we are computing dist / small_divisor here
+ ret_value.significand +=
+ small_division_by_pow10<float_info<T>::kappa>(dist);
+ }
+ return ret_value;
+}
+} // namespace dragonbox
+
+// Formats value using a variation of the Fixed-Precision Positive
+// Floating-Point Printout ((FPP)^2) algorithm by Steele & White:
+// https://fmt.dev/p372-steele.pdf.
+template <typename Double>
+void fallback_format(Double d, int num_digits, bool binary32, buffer<char>& buf,
+ int& exp10) {
+ bigint numerator; // 2 * R in (FPP)^2.
+ bigint denominator; // 2 * S in (FPP)^2.
+ // lower and upper are differences between value and corresponding boundaries.
+ bigint lower; // (M^- in (FPP)^2).
+ bigint upper_store; // upper's value if different from lower.
+ bigint* upper = nullptr; // (M^+ in (FPP)^2).
+ fp value;
+ // Shift numerator and denominator by an extra bit or two (if lower boundary
+ // is closer) to make lower and upper integers. This eliminates multiplication
+ // by 2 during later computations.
+ const bool is_predecessor_closer =
+ binary32 ? value.assign(static_cast<float>(d)) : value.assign(d);
+ int shift = is_predecessor_closer ? 2 : 1;
+ uint64_t significand = value.f << shift;
+ if (value.e >= 0) {
+ numerator.assign(significand);
+ numerator <<= value.e;
+ lower.assign(1);
+ lower <<= value.e;
+ if (shift != 1) {
+ upper_store.assign(1);
+ upper_store <<= value.e + 1;
+ upper = &upper_store;
+ }
+ denominator.assign_pow10(exp10);
+ denominator <<= shift;
+ } else if (exp10 < 0) {
+ numerator.assign_pow10(-exp10);
+ lower.assign(numerator);
+ if (shift != 1) {
+ upper_store.assign(numerator);
+ upper_store <<= 1;
+ upper = &upper_store;
+ }
+ numerator *= significand;
+ denominator.assign(1);
+ denominator <<= shift - value.e;
+ } else {
+ numerator.assign(significand);
+ denominator.assign_pow10(exp10);
+ denominator <<= shift - value.e;
+ lower.assign(1);
+ if (shift != 1) {
+ upper_store.assign(1ULL << 1);
+ upper = &upper_store;
+ }
+ }
+ // Invariant: value == (numerator / denominator) * pow(10, exp10).
+ if (num_digits < 0) {
+ // Generate the shortest representation.
+ if (!upper) upper = &lower;
+ bool even = (value.f & 1) == 0;
+ num_digits = 0;
+ char* data = buf.data();
+ for (;;) {
+ int digit = numerator.divmod_assign(denominator);
+ bool low = compare(numerator, lower) - even < 0; // numerator <[=] lower.
+ // numerator + upper >[=] pow10:
+ bool high = add_compare(numerator, *upper, denominator) + even > 0;
+ data[num_digits++] = static_cast<char>('0' + digit);
+ if (low || high) {
+ if (!low) {
+ ++data[num_digits - 1];
+ } else if (high) {
+ int result = add_compare(numerator, numerator, denominator);
+ // Round half to even.
+ if (result > 0 || (result == 0 && (digit % 2) != 0))
+ ++data[num_digits - 1];
+ }
+ buf.try_resize(to_unsigned(num_digits));
+ exp10 -= num_digits - 1;
+ return;
+ }
+ numerator *= 10;
+ lower *= 10;
+ if (upper != &lower) *upper *= 10;
+ }
+ }
+ // Generate the given number of digits.
+ exp10 -= num_digits - 1;
+ if (num_digits == 0) {
+ buf.try_resize(1);
+ denominator *= 10;
+ buf[0] = add_compare(numerator, numerator, denominator) > 0 ? '1' : '0';
+ return;
+ }
+ buf.try_resize(to_unsigned(num_digits));
+ for (int i = 0; i < num_digits - 1; ++i) {
+ int digit = numerator.divmod_assign(denominator);
+ buf[i] = static_cast<char>('0' + digit);
+ numerator *= 10;
+ }
+ int digit = numerator.divmod_assign(denominator);
+ auto result = add_compare(numerator, numerator, denominator);
+ if (result > 0 || (result == 0 && (digit % 2) != 0)) {
+ if (digit == 9) {
+ const auto overflow = '0' + 10;
+ buf[num_digits - 1] = overflow;
+ // Propagate the carry.
+ for (int i = num_digits - 1; i > 0 && buf[i] == overflow; --i) {
+ buf[i] = '0';
+ ++buf[i - 1];
+ }
+ if (buf[0] == overflow) {
+ buf[0] = '1';
+ ++exp10;
+ }
+ return;
+ }
+ ++digit;
+ }
+ buf[num_digits - 1] = static_cast<char>('0' + digit);
+}
+
+template <typename T>
+int format_float(T value, int precision, float_specs specs, buffer<char>& buf) {
+ static_assert(!std::is_same<T, float>::value, "");
+ FMT_ASSERT(value >= 0, "value is negative");
+
+ const bool fixed = specs.format == float_format::fixed;
+ if (value <= 0) { // <= instead of == to silence a warning.
+ if (precision <= 0 || !fixed) {
+ buf.push_back('0');
+ return 0;
+ }
+ buf.try_resize(to_unsigned(precision));
+ std::uninitialized_fill_n(buf.data(), precision, '0');
+ return -precision;
+ }
+
+ if (!specs.use_grisu) return snprintf_float(value, precision, specs, buf);
+
+ if (precision < 0) {
+ // Use Dragonbox for the shortest format.
+ if (specs.binary32) {
+ auto dec = dragonbox::to_decimal(static_cast<float>(value));
+ write<char>(buffer_appender<char>(buf), dec.significand);
+ return dec.exponent;
+ }
+ auto dec = dragonbox::to_decimal(static_cast<double>(value));
+ write<char>(buffer_appender<char>(buf), dec.significand);
+ return dec.exponent;
+ }
+
+ // Use Grisu + Dragon4 for the given precision:
+ // https://www.cs.tufts.edu/~nr/cs257/archive/florian-loitsch/printf.pdf.
+ int exp = 0;
+ const int min_exp = -60; // alpha in Grisu.
+ int cached_exp10 = 0; // K in Grisu.
+ fp normalized = normalize(fp(value));
+ const auto cached_pow = get_cached_power(
+ min_exp - (normalized.e + fp::significand_size), cached_exp10);
+ normalized = normalized * cached_pow;
+ // Limit precision to the maximum possible number of significant digits in an
+ // IEEE754 double because we don't need to generate zeros.
+ const int max_double_digits = 767;
+ if (precision > max_double_digits) precision = max_double_digits;
+ fixed_handler handler{buf.data(), 0, precision, -cached_exp10, fixed};
+ if (grisu_gen_digits(normalized, 1, exp, handler) == digits::error) {
+ exp += handler.size - cached_exp10 - 1;
+ fallback_format(value, handler.precision, specs.binary32, buf, exp);
+ } else {
+ exp += handler.exp10;
+ buf.try_resize(to_unsigned(handler.size));
+ }
+ if (!fixed && !specs.showpoint) {
+ // Remove trailing zeros.
+ auto num_digits = buf.size();
+ while (num_digits > 0 && buf[num_digits - 1] == '0') {
+ --num_digits;
+ ++exp;
+ }
+ buf.try_resize(num_digits);
+ }
+ return exp;
+} // namespace detail
+
+template <typename T>
+int snprintf_float(T value, int precision, float_specs specs,
+ buffer<char>& buf) {
+ // Buffer capacity must be non-zero, otherwise MSVC's vsnprintf_s will fail.
+ FMT_ASSERT(buf.capacity() > buf.size(), "empty buffer");
+ static_assert(!std::is_same<T, float>::value, "");
+
+ // Subtract 1 to account for the difference in precision since we use %e for
+ // both general and exponent format.
+ if (specs.format == float_format::general ||
+ specs.format == float_format::exp)
+ precision = (precision >= 0 ? precision : 6) - 1;
+
+ // Build the format string.
+ enum { max_format_size = 7 }; // The longest format is "%#.*Le".
+ char format[max_format_size];
+ char* format_ptr = format;
+ *format_ptr++ = '%';
+ if (specs.showpoint && specs.format == float_format::hex) *format_ptr++ = '#';
+ if (precision >= 0) {
+ *format_ptr++ = '.';
+ *format_ptr++ = '*';
+ }
+ if (std::is_same<T, long double>()) *format_ptr++ = 'L';
+ *format_ptr++ = specs.format != float_format::hex
+ ? (specs.format == float_format::fixed ? 'f' : 'e')
+ : (specs.upper ? 'A' : 'a');
+ *format_ptr = '\0';
+
+ // Format using snprintf.
+ auto offset = buf.size();
+ for (;;) {
+ auto begin = buf.data() + offset;
+ auto capacity = buf.capacity() - offset;
+#ifdef FMT_FUZZ
+ if (precision > 100000)
+ throw std::runtime_error(
+ "fuzz mode - avoid large allocation inside snprintf");
+#endif
+ // Suppress the warning about a nonliteral format string.
+ // Cannot use auto because of a bug in MinGW (#1532).
+ int (*snprintf_ptr)(char*, size_t, const char*, ...) = FMT_SNPRINTF;
+ int result = precision >= 0
+ ? snprintf_ptr(begin, capacity, format, precision, value)
+ : snprintf_ptr(begin, capacity, format, value);
+ if (result < 0) {
+ // The buffer will grow exponentially.
+ buf.try_reserve(buf.capacity() + 1);
+ continue;
+ }
+ auto size = to_unsigned(result);
+ // Size equal to capacity means that the last character was truncated.
+ if (size >= capacity) {
+ buf.try_reserve(size + offset + 1); // Add 1 for the terminating '\0'.
+ continue;
+ }
+ auto is_digit = [](char c) { return c >= '0' && c <= '9'; };
+ if (specs.format == float_format::fixed) {
+ if (precision == 0) {
+ buf.try_resize(size);
+ return 0;
+ }
+ // Find and remove the decimal point.
+ auto end = begin + size, p = end;
+ do {
+ --p;
+ } while (is_digit(*p));
+ int fraction_size = static_cast<int>(end - p - 1);
+ std::memmove(p, p + 1, to_unsigned(fraction_size));
+ buf.try_resize(size - 1);
+ return -fraction_size;
+ }
+ if (specs.format == float_format::hex) {
+ buf.try_resize(size + offset);
+ return 0;
+ }
+ // Find and parse the exponent.
+ auto end = begin + size, exp_pos = end;
+ do {
+ --exp_pos;
+ } while (*exp_pos != 'e');
+ char sign = exp_pos[1];
+ assert(sign == '+' || sign == '-');
+ int exp = 0;
+ auto p = exp_pos + 2; // Skip 'e' and sign.
+ do {
+ assert(is_digit(*p));
+ exp = exp * 10 + (*p++ - '0');
+ } while (p != end);
+ if (sign == '-') exp = -exp;
+ int fraction_size = 0;
+ if (exp_pos != begin + 1) {
+ // Remove trailing zeros.
+ auto fraction_end = exp_pos - 1;
+ while (*fraction_end == '0') --fraction_end;
+ // Move the fractional part left to get rid of the decimal point.
+ fraction_size = static_cast<int>(fraction_end - begin - 1);
+ std::memmove(begin + 1, begin + 2, to_unsigned(fraction_size));
+ }
+ buf.try_resize(to_unsigned(fraction_size) + offset + 1);
+ return exp - fraction_size;
+ }
+}
+
+// A public domain branchless UTF-8 decoder by Christopher Wellons:
+// https://github.com/skeeto/branchless-utf8
+/* Decode the next character, c, from buf, reporting errors in e.
+ *
+ * Since this is a branchless decoder, four bytes will be read from the
+ * buffer regardless of the actual length of the next character. This
+ * means the buffer _must_ have at least three bytes of zero padding
+ * following the end of the data stream.
+ *
+ * Errors are reported in e, which will be non-zero if the parsed
+ * character was somehow invalid: invalid byte sequence, non-canonical
+ * encoding, or a surrogate half.
+ *
+ * The function returns a pointer to the next character. When an error
+ * occurs, this pointer will be a guess that depends on the particular
+ * error, but it will always advance at least one byte.
+ */
+inline const char* utf8_decode(const char* buf, uint32_t* c, int* e) {
+ static const int masks[] = {0x00, 0x7f, 0x1f, 0x0f, 0x07};
+ static const uint32_t mins[] = {4194304, 0, 128, 2048, 65536};
+ static const int shiftc[] = {0, 18, 12, 6, 0};
+ static const int shifte[] = {0, 6, 4, 2, 0};
+
+ int len = code_point_length(buf);
+ const char* next = buf + len;
+
+ // Assume a four-byte character and load four bytes. Unused bits are
+ // shifted out.
+ auto s = reinterpret_cast<const unsigned char*>(buf);
+ *c = uint32_t(s[0] & masks[len]) << 18;
+ *c |= uint32_t(s[1] & 0x3f) << 12;
+ *c |= uint32_t(s[2] & 0x3f) << 6;
+ *c |= uint32_t(s[3] & 0x3f) << 0;
+ *c >>= shiftc[len];
+
+ // Accumulate the various error conditions.
+ *e = (*c < mins[len]) << 6; // non-canonical encoding
+ *e |= ((*c >> 11) == 0x1b) << 7; // surrogate half?
+ *e |= (*c > 0x10FFFF) << 8; // out of range?
+ *e |= (s[1] & 0xc0) >> 2;
+ *e |= (s[2] & 0xc0) >> 4;
+ *e |= (s[3]) >> 6;
+ *e ^= 0x2a; // top two bits of each tail byte correct?
+ *e >>= shifte[len];
+
+ return next;
+}
+
+struct stringifier {
+ template <typename T> FMT_INLINE std::string operator()(T value) const {
+ return to_string(value);
+ }
+ std::string operator()(basic_format_arg<format_context>::handle h) const {
+ memory_buffer buf;
+ format_parse_context parse_ctx({});
+ format_context format_ctx(buffer_appender<char>(buf), {}, {});
+ h.format(parse_ctx, format_ctx);
+ return to_string(buf);
+ }
+};
+} // namespace detail
+
+template <> struct formatter<detail::bigint> {
+ format_parse_context::iterator parse(format_parse_context& ctx) {
+ return ctx.begin();
+ }
+
+ format_context::iterator format(const detail::bigint& n,
+ format_context& ctx) {
+ 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, "{:x}", value);
+ first = false;
+ continue;
+ }
+ out = format_to(out, "{:08x}", value);
+ }
+ if (n.exp_ > 0)
+ out = format_to(out, "p{}", n.exp_ * detail::bigint::bigit_bits);
+ return out;
+ }
+};
+
+FMT_FUNC detail::utf8_to_utf16::utf8_to_utf16(string_view s) {
+ auto transcode = [this](const char* p) {
+ auto cp = uint32_t();
+ auto error = 0;
+ p = utf8_decode(p, &cp, &error);
+ if (error != 0) 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 p;
+ };
+ auto p = s.data();
+ const size_t block_size = 4; // utf8_decode always reads blocks of 4 chars.
+ if (s.size() >= block_size) {
+ for (auto end = p + s.size() - block_size + 1; p < end;) p = transcode(p);
+ }
+ if (auto num_chars_left = s.data() + s.size() - p) {
+ char buf[2 * block_size - 1] = {};
+ memcpy(buf, p, to_unsigned(num_chars_left));
+ p = buf;
+ do {
+ p = transcode(p);
+ } while (p - buf < num_chars_left);
+ }
+ buffer_.push_back(0);
+}
+
+FMT_FUNC void format_system_error(detail::buffer<char>& out, int error_code,
+ string_view message) FMT_NOEXCEPT {
+ FMT_TRY {
+ memory_buffer buf;
+ buf.resize(inline_buffer_size);
+ for (;;) {
+ char* system_message = &buf[0];
+ int result =
+ detail::safe_strerror(error_code, system_message, buf.size());
+ if (result == 0) {
+ format_to(detail::buffer_appender<char>(out), "{}: {}", message,
+ system_message);
+ return;
+ }
+ if (result != ERANGE)
+ break; // Can't get error message, report error code instead.
+ buf.resize(buf.size() * 2);
+ }
+ }
+ FMT_CATCH(...) {}
+ format_error_code(out, error_code, message);
+}
+
+FMT_FUNC void detail::error_handler::on_error(const char* message) {
+ FMT_THROW(format_error(message));
+}
+
+FMT_FUNC void report_system_error(int error_code,
+ fmt::string_view message) FMT_NOEXCEPT {
+ report_error(format_system_error, error_code, message);
+}
+
+FMT_FUNC std::string detail::vformat(string_view format_str, format_args args) {
+ if (format_str.size() == 2 && equal2(format_str.data(), "{}")) {
+ auto arg = args.get(0);
+ if (!arg) error_handler().on_error("argument not found");
+ return visit_format_arg(stringifier(), arg);
+ }
+ memory_buffer buffer;
+ detail::vformat_to(buffer, format_str, 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
+
+FMT_FUNC void vprint(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));
+#ifdef _WIN32
+ auto fd = _fileno(f);
+ if (_isatty(fd)) {
+ detail::utf8_to_utf16 u16(string_view(buffer.data(), buffer.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)) {
+ FMT_THROW(format_error("failed to write to console"));
+ }
+ return;
+ }
+#endif
+ detail::fwrite_fully(buffer.data(), 1, buffer.size(), f);
+}
+
+#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);
+}
+
+FMT_END_NAMESPACE
+
+#endif // FMT_FORMAT_INL_H_