2018-01-06 17:09:50 +00:00
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// Formatting library for C++
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//
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// Copyright (c) 2012 - 2016, Victor Zverovich
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// All rights reserved.
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//
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// For the license information refer to format.h.
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2012-12-07 16:31:09 +00:00
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2018-03-21 14:50:59 +00:00
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#ifndef FMT_FORMAT_INL_H_
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#define FMT_FORMAT_INL_H_
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2018-01-20 18:28:10 +00:00
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#include "format.h"
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2013-01-14 23:16:20 +00:00
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2014-04-30 13:55:21 +00:00
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#include <string.h>
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2012-12-12 17:17:28 +00:00
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#include <cctype>
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2014-07-01 23:23:50 +00:00
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#include <cerrno>
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2014-04-24 19:37:06 +00:00
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#include <climits>
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2013-09-07 17:15:08 +00:00
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#include <cmath>
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2013-12-27 16:00:10 +00:00
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#include <cstdarg>
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2015-11-13 14:52:13 +00:00
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#include <cstddef> // for std::ptrdiff_t
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2018-08-26 15:12:35 +00:00
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#include <cstring> // for std::memmove
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2019-07-25 02:44:29 +00:00
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#include <cwchar>
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2018-08-17 09:22:56 +00:00
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#if !defined(FMT_STATIC_THOUSANDS_SEPARATOR)
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2019-01-13 02:27:38 +00:00
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# include <locale>
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2018-08-17 09:22:56 +00:00
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#endif
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2013-09-07 17:15:08 +00:00
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2015-06-12 14:15:57 +00:00
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#if FMT_USE_WINDOWS_H
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2019-01-13 02:27:38 +00:00
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# if !defined(FMT_HEADER_ONLY) && !defined(WIN32_LEAN_AND_MEAN)
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# define WIN32_LEAN_AND_MEAN
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# endif
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# if defined(NOMINMAX) || defined(FMT_WIN_MINMAX)
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# include <windows.h>
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# else
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# define NOMINMAX
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# include <windows.h>
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# undef NOMINMAX
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# endif
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2015-02-08 16:08:29 +00:00
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#endif
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2014-10-06 15:30:55 +00:00
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#if FMT_EXCEPTIONS
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2019-01-13 02:27:38 +00:00
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# define FMT_TRY try
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# define FMT_CATCH(x) catch (x)
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2014-10-06 15:30:55 +00:00
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#else
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2019-01-13 02:27:38 +00:00
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# define FMT_TRY if (true)
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# define FMT_CATCH(x) if (false)
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2014-10-06 15:30:55 +00:00
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#endif
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2015-11-02 11:34:46 +00:00
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#ifdef _MSC_VER
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2019-01-13 02:27:38 +00:00
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# pragma warning(push)
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# pragma warning(disable : 4127) // conditional expression is constant
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# pragma warning(disable : 4702) // unreachable code
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2014-03-11 18:56:24 +00:00
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#endif
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2015-03-14 20:39:33 +00:00
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// Dummy implementations of strerror_r and strerror_s called if corresponding
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// system functions are not available.
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2019-01-13 02:27:38 +00:00
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inline fmt::internal::null<> strerror_r(int, char*, ...) {
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2017-02-19 16:41:38 +00:00
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return fmt::internal::null<>();
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2015-03-14 20:39:33 +00:00
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}
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2019-01-13 02:27:38 +00:00
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inline fmt::internal::null<> strerror_s(char*, std::size_t, ...) {
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2017-02-19 16:41:38 +00:00
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return fmt::internal::null<>();
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2015-03-14 20:39:33 +00:00
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}
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2018-05-12 15:33:51 +00:00
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FMT_BEGIN_NAMESPACE
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2019-06-14 20:18:00 +00:00
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namespace internal {
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2013-09-07 17:15:08 +00:00
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#ifndef _MSC_VER
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2019-01-13 02:27:38 +00:00
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# define FMT_SNPRINTF snprintf
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2013-12-27 16:00:10 +00:00
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#else // _MSC_VER
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2019-01-13 02:27:38 +00:00
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inline int fmt_snprintf(char* buffer, size_t size, const char* format, ...) {
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2013-12-27 16:00:10 +00:00
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va_list args;
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va_start(args, format);
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int result = vsnprintf_s(buffer, size, _TRUNCATE, format, args);
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va_end(args);
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return result;
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}
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2019-01-13 02:27:38 +00:00
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# define FMT_SNPRINTF fmt_snprintf
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2013-09-07 17:15:08 +00:00
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#endif // _MSC_VER
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2014-02-19 22:20:26 +00:00
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2019-07-07 23:43:38 +00:00
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using format_func = void (*)(internal::buffer<char>&, int, string_view);
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2014-09-03 15:03:05 +00:00
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2019-09-08 00:07:53 +00:00
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// A portable thread-safe version of strerror.
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2014-09-05 15:44:41 +00:00
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// Sets buffer to point to a string describing the error code.
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// This can be either a pointer to a string stored in buffer,
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// or a pointer to some static immutable string.
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// Returns one of the following values:
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// 0 - success
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// ERANGE - buffer is not large enough to store the error message
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// other - failure
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// Buffer should be at least of size 1.
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2019-06-18 16:48:23 +00:00
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FMT_FUNC int safe_strerror(int error_code, char*& buffer,
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std::size_t buffer_size) FMT_NOEXCEPT {
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2019-05-30 14:01:31 +00:00
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FMT_ASSERT(buffer != nullptr && buffer_size != 0, "invalid buffer");
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2015-03-14 20:39:33 +00:00
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2018-05-19 15:57:31 +00:00
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class dispatcher {
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2015-03-14 20:39:33 +00:00
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private:
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int error_code_;
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2019-01-13 02:27:38 +00:00
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char*& buffer_;
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2015-03-14 20:39:33 +00:00
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std::size_t buffer_size_;
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2015-03-21 14:53:39 +00:00
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// A noop assignment operator to avoid bogus warnings.
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2019-01-13 02:27:38 +00:00
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void operator=(const dispatcher&) {}
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2015-03-21 14:53:39 +00:00
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2015-03-14 20:39:33 +00:00
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// Handle the result of XSI-compliant version of strerror_r.
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int handle(int result) {
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2015-03-14 21:05:02 +00:00
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// glibc versions before 2.13 return result in errno.
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return result == -1 ? errno : result;
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2015-03-14 20:39:33 +00:00
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}
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// Handle the result of GNU-specific version of strerror_r.
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2019-01-13 02:27:38 +00:00
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int handle(char* message) {
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2015-03-14 20:39:33 +00:00
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// If the buffer is full then the message is probably truncated.
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if (message == buffer_ && strlen(buffer_) == buffer_size_ - 1)
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return ERANGE;
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buffer_ = message;
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return 0;
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}
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// Handle the case when strerror_r is not available.
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2017-02-19 16:41:38 +00:00
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int handle(internal::null<>) {
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2015-03-14 20:39:33 +00:00
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return fallback(strerror_s(buffer_, buffer_size_, error_code_));
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}
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// Fallback to strerror_s when strerror_r is not available.
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int fallback(int result) {
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// If the buffer is full then the message is probably truncated.
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2019-01-13 02:27:38 +00:00
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return result == 0 && strlen(buffer_) == buffer_size_ - 1 ? ERANGE
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: result;
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2015-03-14 20:39:33 +00:00
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}
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2018-11-30 21:47:04 +00:00
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#if !FMT_MSC_VER
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2015-03-14 20:39:33 +00:00
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// Fallback to strerror if strerror_r and strerror_s are not available.
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2017-02-19 16:41:38 +00:00
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int fallback(internal::null<>) {
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2015-03-14 20:39:33 +00:00
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errno = 0;
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buffer_ = strerror(error_code_);
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return errno;
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}
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2018-11-30 21:47:04 +00:00
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#endif
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2015-03-14 20:39:33 +00:00
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public:
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2019-01-13 02:27:38 +00:00
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dispatcher(int err_code, char*& buf, std::size_t buf_size)
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: error_code_(err_code), buffer_(buf), buffer_size_(buf_size) {}
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2015-03-14 20:39:33 +00:00
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2019-01-13 02:27:38 +00:00
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int run() { return handle(strerror_r(error_code_, buffer_, buffer_size_)); }
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2015-03-14 20:39:33 +00:00
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};
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2018-05-19 15:57:31 +00:00
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return dispatcher(error_code, buffer, buffer_size).run();
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2014-09-05 15:44:41 +00:00
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}
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2019-06-18 16:48:23 +00:00
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FMT_FUNC void format_error_code(internal::buffer<char>& out, int error_code,
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string_view message) FMT_NOEXCEPT {
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2014-09-03 15:03:05 +00:00
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// Report error code making sure that the output fits into
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2018-03-04 18:33:42 +00:00
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// inline_buffer_size to avoid dynamic memory allocation and potential
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2014-09-03 15:03:05 +00:00
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// bad_alloc.
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2017-03-11 15:43:26 +00:00
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out.resize(0);
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2014-09-03 15:03:05 +00:00
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static const char SEP[] = ": ";
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2015-03-22 03:16:36 +00:00
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static const char ERROR_STR[] = "error ";
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// Subtract 2 to account for terminating null characters in SEP and ERROR_STR.
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std::size_t error_code_size = sizeof(SEP) + sizeof(ERROR_STR) - 2;
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2019-08-29 10:36:27 +00:00
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auto abs_value = static_cast<uint32_or_64_or_128_t<int>>(error_code);
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2016-03-02 15:01:21 +00:00
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if (internal::is_negative(error_code)) {
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abs_value = 0 - abs_value;
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++error_code_size;
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}
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2018-12-20 14:24:19 +00:00
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error_code_size += internal::to_unsigned(internal::count_digits(abs_value));
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2019-07-03 16:52:09 +00:00
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internal::writer w(out);
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2018-03-04 18:33:42 +00:00
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if (message.size() <= inline_buffer_size - error_code_size) {
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2017-02-14 21:29:47 +00:00
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w.write(message);
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w.write(SEP);
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2017-01-22 15:40:21 +00:00
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}
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2017-02-14 21:29:47 +00:00
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w.write(ERROR_STR);
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w.write(error_code);
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2018-03-04 18:33:42 +00:00
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assert(out.size() <= inline_buffer_size);
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2014-09-03 15:03:05 +00:00
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}
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2014-05-03 16:48:54 +00:00
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2019-08-04 16:36:26 +00:00
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// A wrapper around fwrite that throws on error.
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2019-06-18 16:48:23 +00:00
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FMT_FUNC void fwrite_fully(const void* ptr, size_t size, size_t count,
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FILE* stream) {
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2019-03-28 22:15:20 +00:00
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size_t written = std::fwrite(ptr, size, count, stream);
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if (written < count) {
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FMT_THROW(system_error(errno, "cannot write to file"));
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}
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}
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2019-07-07 23:43:38 +00:00
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FMT_FUNC void report_error(format_func func, int error_code,
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2019-06-18 16:48:23 +00:00
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string_view message) FMT_NOEXCEPT {
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2017-02-18 17:13:12 +00:00
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memory_buffer full_message;
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2014-09-05 15:04:26 +00:00
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func(full_message, error_code, message);
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2019-08-04 16:36:26 +00:00
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// Don't use fwrite_fully because the latter may throw.
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(void)std::fwrite(full_message.data(), full_message.size(), 1, stderr);
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2014-09-05 15:04:26 +00:00
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std::fputc('\n', stderr);
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2013-09-10 05:21:40 +00:00
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}
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2019-06-14 20:18:00 +00:00
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} // namespace internal
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2015-06-16 14:36:32 +00:00
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2018-08-17 09:22:56 +00:00
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#if !defined(FMT_STATIC_THOUSANDS_SEPARATOR)
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2018-11-14 17:39:37 +00:00
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namespace internal {
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2018-05-21 00:16:34 +00:00
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2018-11-14 17:39:37 +00:00
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template <typename Locale>
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2019-01-13 02:27:38 +00:00
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locale_ref::locale_ref(const Locale& loc) : locale_(&loc) {
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2018-11-14 17:39:37 +00:00
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static_assert(std::is_same<Locale, std::locale>::value, "");
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}
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2019-01-13 02:27:38 +00:00
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template <typename Locale> Locale locale_ref::get() const {
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2018-11-14 17:39:37 +00:00
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static_assert(std::is_same<Locale, std::locale>::value, "");
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return locale_ ? *static_cast<const std::locale*>(locale_) : std::locale();
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}
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2018-05-21 00:16:34 +00:00
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2019-01-13 02:27:38 +00:00
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template <typename Char> FMT_FUNC Char thousands_sep_impl(locale_ref loc) {
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2019-06-01 03:09:19 +00:00
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return std::use_facet<std::numpunct<Char>>(loc.get<std::locale>())
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2019-01-13 02:27:38 +00:00
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.thousands_sep();
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2018-09-30 18:39:20 +00:00
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}
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2019-07-04 00:25:57 +00:00
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template <typename Char> FMT_FUNC Char decimal_point_impl(locale_ref loc) {
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return std::use_facet<std::numpunct<Char>>(loc.get<std::locale>())
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.decimal_point();
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}
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2019-01-13 02:27:38 +00:00
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} // namespace internal
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2018-08-17 09:22:56 +00:00
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#else
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template <typename Char>
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2018-11-20 23:43:17 +00:00
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FMT_FUNC Char internal::thousands_sep_impl(locale_ref) {
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2018-08-17 09:22:56 +00:00
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return FMT_STATIC_THOUSANDS_SEPARATOR;
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}
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2019-07-04 00:25:57 +00:00
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template <typename Char>
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FMT_FUNC Char internal::decimal_point_impl(locale_ref) {
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return '.';
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}
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2018-08-17 09:22:56 +00:00
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#endif
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2017-12-03 17:18:06 +00:00
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2019-06-24 12:15:52 +00:00
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FMT_API FMT_FUNC format_error::~format_error() FMT_NOEXCEPT {}
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FMT_API FMT_FUNC system_error::~system_error() FMT_NOEXCEPT {}
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2019-06-17 16:21:29 +00:00
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2019-01-13 02:27:38 +00:00
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FMT_FUNC void system_error::init(int err_code, string_view format_str,
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format_args args) {
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2014-12-09 15:45:54 +00:00
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error_code_ = err_code;
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2017-02-18 17:13:12 +00:00
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memory_buffer buffer;
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format_system_error(buffer, err_code, vformat(format_str, args));
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2019-01-13 02:27:38 +00:00
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std::runtime_error& base = *this;
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2017-02-18 17:13:12 +00:00
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base = std::runtime_error(to_string(buffer));
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2014-06-30 21:26:29 +00:00
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}
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2018-04-22 00:26:24 +00:00
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namespace internal {
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2019-04-06 14:53:52 +00:00
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2019-06-15 01:47:36 +00:00
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template <> FMT_FUNC int count_digits<4>(internal::fallback_uintptr n) {
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2019-04-06 14:53:52 +00:00
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// Assume little endian; pointer formatting is implementation-defined anyway.
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int i = static_cast<int>(sizeof(void*)) - 1;
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while (i > 0 && n.value[i] == 0) --i;
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auto char_digits = std::numeric_limits<unsigned char>::digits / 4;
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return i >= 0 ? i * char_digits + count_digits<4, unsigned>(n.value[i]) : 1;
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}
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2013-09-10 05:21:40 +00:00
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template <typename T>
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2019-04-17 00:08:24 +00:00
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int format_float(char* buf, std::size_t size, const char* format, int precision,
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T value) {
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2019-06-30 07:11:13 +00:00
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#ifdef FUZZING_BUILD_MODE_UNSAFE_FOR_PRODUCTION
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2019-07-03 16:52:09 +00:00
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if (precision > 100000)
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2019-06-30 13:58:49 +00:00
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throw std::runtime_error(
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"fuzz mode - avoid large allocation inside snprintf");
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2019-06-30 07:11:13 +00:00
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|
#endif
|
2019-06-14 20:03:34 +00:00
|
|
|
// Suppress the warning about nonliteral format string.
|
|
|
|
auto snprintf_ptr = FMT_SNPRINTF;
|
|
|
|
return precision < 0 ? snprintf_ptr(buf, size, format, value)
|
|
|
|
: snprintf_ptr(buf, size, format, precision, value);
|
2013-09-10 05:21:40 +00:00
|
|
|
}
|
|
|
|
|
2014-11-29 14:58:00 +00:00
|
|
|
template <typename T>
|
2019-07-03 23:14:14 +00:00
|
|
|
const char basic_data<T>::digits[] =
|
2013-01-27 00:07:28 +00:00
|
|
|
"0001020304050607080910111213141516171819"
|
|
|
|
"2021222324252627282930313233343536373839"
|
|
|
|
"4041424344454647484950515253545556575859"
|
|
|
|
"6061626364656667686970717273747576777879"
|
|
|
|
"8081828384858687888990919293949596979899";
|
2014-02-19 20:43:55 +00:00
|
|
|
|
2019-04-06 14:53:52 +00:00
|
|
|
template <typename T>
|
2019-07-03 23:14:14 +00:00
|
|
|
const char basic_data<T>::hex_digits[] = "0123456789abcdef";
|
2019-04-06 14:53:52 +00:00
|
|
|
|
2019-01-13 02:27:38 +00:00
|
|
|
#define FMT_POWERS_OF_10(factor) \
|
|
|
|
factor * 10, factor * 100, factor * 1000, factor * 10000, factor * 100000, \
|
|
|
|
factor * 1000000, factor * 10000000, factor * 100000000, \
|
|
|
|
factor * 1000000000
|
2014-02-19 21:02:22 +00:00
|
|
|
|
2014-11-29 14:58:00 +00:00
|
|
|
template <typename T>
|
2019-07-03 23:14:14 +00:00
|
|
|
const uint64_t basic_data<T>::powers_of_10_64[] = {
|
2019-02-02 16:49:25 +00:00
|
|
|
1, FMT_POWERS_OF_10(1), FMT_POWERS_OF_10(1000000000ull),
|
|
|
|
10000000000000000000ull};
|
2018-08-25 23:08:32 +00:00
|
|
|
|
|
|
|
template <typename T>
|
2019-07-03 23:14:14 +00:00
|
|
|
const uint32_t basic_data<T>::zero_or_powers_of_10_32[] = {0,
|
2019-01-13 02:27:38 +00:00
|
|
|
FMT_POWERS_OF_10(1)};
|
2014-11-29 14:58:00 +00:00
|
|
|
|
|
|
|
template <typename T>
|
2019-07-03 23:14:14 +00:00
|
|
|
const uint64_t basic_data<T>::zero_or_powers_of_10_64[] = {
|
2019-01-13 02:27:38 +00:00
|
|
|
0, FMT_POWERS_OF_10(1), FMT_POWERS_OF_10(1000000000ull),
|
|
|
|
10000000000000000000ull};
|
2013-01-08 17:56:05 +00:00
|
|
|
|
2018-04-29 13:33:05 +00:00
|
|
|
// Normalized 64-bit significands of pow(10, k), for k = -348, -340, ..., 340.
|
|
|
|
// These are generated by support/compute-powers.py.
|
|
|
|
template <typename T>
|
2019-07-03 23:14:14 +00:00
|
|
|
const uint64_t basic_data<T>::pow10_significands[] = {
|
2019-01-13 02:27:38 +00:00
|
|
|
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,
|
2018-04-29 13:33:05 +00:00
|
|
|
};
|
|
|
|
|
|
|
|
// Binary exponents of pow(10, k), for k = -348, -340, ..., 340, corresponding
|
|
|
|
// to significands above.
|
|
|
|
template <typename T>
|
2019-07-03 23:14:14 +00:00
|
|
|
const int16_t basic_data<T>::pow10_exponents[] = {
|
2019-01-13 02:27:38 +00:00
|
|
|
-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};
|
2018-04-29 13:33:05 +00:00
|
|
|
|
2019-01-13 02:27:38 +00:00
|
|
|
template <typename T>
|
2019-07-03 23:14:14 +00:00
|
|
|
const char basic_data<T>::foreground_color[] = "\x1b[38;2;";
|
2019-01-13 02:27:38 +00:00
|
|
|
template <typename T>
|
2019-07-03 23:14:14 +00:00
|
|
|
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";
|
2018-06-28 05:13:00 +00:00
|
|
|
|
2019-02-02 15:40:43 +00:00
|
|
|
template <typename T> struct bits {
|
|
|
|
static FMT_CONSTEXPR_DECL const int value =
|
2019-02-02 16:49:25 +00:00
|
|
|
static_cast<int>(sizeof(T) * std::numeric_limits<unsigned char>::digits);
|
2019-02-02 15:40:43 +00:00
|
|
|
};
|
|
|
|
|
2019-09-08 00:07:53 +00:00
|
|
|
class fp;
|
|
|
|
template <int SHIFT = 0> fp normalize(fp value);
|
|
|
|
|
2018-08-29 16:34:57 +00:00
|
|
|
// A handmade floating-point number f * pow(2, e).
|
|
|
|
class fp {
|
|
|
|
private:
|
2019-07-07 23:43:38 +00:00
|
|
|
using significand_type = uint64_t;
|
2018-08-29 16:34:57 +00:00
|
|
|
|
|
|
|
// 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 =
|
2019-01-13 02:27:38 +00:00
|
|
|
std::numeric_limits<double>::digits - 1;
|
2018-08-29 16:34:57 +00:00
|
|
|
static FMT_CONSTEXPR_DECL const uint64_t implicit_bit =
|
2019-01-13 02:27:38 +00:00
|
|
|
1ull << double_significand_size;
|
2018-08-29 16:34:57 +00:00
|
|
|
|
|
|
|
public:
|
|
|
|
significand_type f;
|
|
|
|
int e;
|
|
|
|
|
|
|
|
static FMT_CONSTEXPR_DECL const int significand_size =
|
2019-02-02 15:40:43 +00:00
|
|
|
bits<significand_type>::value;
|
2018-08-29 16:34:57 +00:00
|
|
|
|
2019-01-13 02:27:38 +00:00
|
|
|
fp() : f(0), e(0) {}
|
|
|
|
fp(uint64_t f_val, int e_val) : f(f_val), e(e_val) {}
|
2018-08-29 16:34:57 +00:00
|
|
|
|
|
|
|
// Constructs fp from an IEEE754 double. It is a template to prevent compile
|
|
|
|
// errors on platforms where double is not IEEE754.
|
2019-01-13 02:27:38 +00:00
|
|
|
template <typename Double> explicit fp(Double d) {
|
2018-08-29 16:34:57 +00:00
|
|
|
// Assume double is in the format [sign][exponent][significand].
|
2019-07-07 23:43:38 +00:00
|
|
|
using limits = std::numeric_limits<Double>;
|
2018-08-29 16:34:57 +00:00
|
|
|
const int exponent_size =
|
2019-02-02 15:40:43 +00:00
|
|
|
bits<Double>::value - double_significand_size - 1; // -1 for sign
|
2018-08-29 16:34:57 +00:00
|
|
|
const uint64_t significand_mask = implicit_bit - 1;
|
|
|
|
const uint64_t exponent_mask = (~0ull >> 1) & ~significand_mask;
|
|
|
|
const int exponent_bias = (1 << exponent_size) - limits::max_exponent - 1;
|
|
|
|
auto u = bit_cast<uint64_t>(d);
|
|
|
|
auto biased_e = (u & exponent_mask) >> double_significand_size;
|
|
|
|
f = u & significand_mask;
|
|
|
|
if (biased_e != 0)
|
|
|
|
f += implicit_bit;
|
|
|
|
else
|
|
|
|
biased_e = 1; // Subnormals use biased exponent 1 (min exponent).
|
|
|
|
e = static_cast<int>(biased_e - exponent_bias - double_significand_size);
|
|
|
|
}
|
|
|
|
|
|
|
|
// Normalizes the value converted from double and multiplied by (1 << SHIFT).
|
2019-09-08 00:07:53 +00:00
|
|
|
template <int SHIFT> friend fp normalize(fp value) {
|
2018-08-29 16:34:57 +00:00
|
|
|
// Handle subnormals.
|
2019-09-08 00:38:27 +00:00
|
|
|
const auto shifted_implicit_bit = fp::implicit_bit << SHIFT;
|
2019-09-08 00:07:53 +00:00
|
|
|
while ((value.f & shifted_implicit_bit) == 0) {
|
|
|
|
value.f <<= 1;
|
|
|
|
--value.e;
|
2018-08-29 16:34:57 +00:00
|
|
|
}
|
|
|
|
// Subtract 1 to account for hidden bit.
|
2019-09-08 00:38:27 +00:00
|
|
|
const auto offset =
|
2019-10-05 18:45:33 +00:00
|
|
|
fp::significand_size - fp::double_significand_size - SHIFT - 1;
|
2019-09-08 00:07:53 +00:00
|
|
|
value.f <<= offset;
|
|
|
|
value.e -= offset;
|
|
|
|
return value;
|
2018-08-29 16:34:57 +00:00
|
|
|
}
|
|
|
|
|
2019-09-08 00:07:53 +00:00
|
|
|
// Computes lower and upper boundaries (m^- and m^+ in the Grisu paper), where
|
2018-08-29 16:34:57 +00:00
|
|
|
// a boundary is a value half way between the number and its predecessor
|
|
|
|
// (lower) or successor (upper). The upper boundary is normalized and lower
|
|
|
|
// has the same exponent but may be not normalized.
|
2019-01-13 02:27:38 +00:00
|
|
|
void compute_boundaries(fp& lower, fp& upper) const {
|
|
|
|
lower =
|
|
|
|
f == implicit_bit ? fp((f << 2) - 1, e - 2) : fp((f << 1) - 1, e - 1);
|
2019-09-08 00:07:53 +00:00
|
|
|
// 1 in normalize accounts for the exponent shift above.
|
|
|
|
upper = normalize<1>(fp((f << 1) + 1, e - 1));
|
2018-08-29 16:34:57 +00:00
|
|
|
lower.f <<= lower.e - upper.e;
|
|
|
|
lower.e = upper.e;
|
|
|
|
}
|
|
|
|
};
|
|
|
|
|
|
|
|
// Returns an fp number representing x - y. Result may not be normalized.
|
|
|
|
inline fp operator-(fp x, fp y) {
|
|
|
|
FMT_ASSERT(x.f >= y.f && x.e == y.e, "invalid operands");
|
|
|
|
return fp(x.f - y.f, x.e);
|
|
|
|
}
|
|
|
|
|
|
|
|
// Computes an fp number r with r.f = x.f * y.f / pow(2, 64) rounded to nearest
|
2019-01-13 02:27:38 +00:00
|
|
|
// with half-up tie breaking, r.e = x.e + y.e + 64. Result may not be
|
|
|
|
// normalized.
|
2018-04-22 00:26:24 +00:00
|
|
|
FMT_FUNC fp operator*(fp x, fp y) {
|
2019-04-13 20:04:27 +00:00
|
|
|
int exp = x.e + y.e + 64;
|
|
|
|
#if FMT_USE_INT128
|
|
|
|
auto product = static_cast<__uint128_t>(x.f) * y.f;
|
|
|
|
auto f = static_cast<uint64_t>(product >> 64);
|
|
|
|
if ((static_cast<uint64_t>(product) & (1ULL << 63)) != 0) ++f;
|
|
|
|
return fp(f, exp);
|
|
|
|
#else
|
2018-04-22 00:26:24 +00:00
|
|
|
// Multiply 32-bit parts of significands.
|
|
|
|
uint64_t mask = (1ULL << 32) - 1;
|
|
|
|
uint64_t a = x.f >> 32, b = x.f & mask;
|
|
|
|
uint64_t c = y.f >> 32, d = y.f & 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);
|
2019-04-13 20:04:27 +00:00
|
|
|
return fp(ac + (ad >> 32) + (bc >> 32) + (mid >> 32), exp);
|
|
|
|
#endif
|
2018-04-22 00:26:24 +00:00
|
|
|
}
|
2018-05-27 17:57:26 +00:00
|
|
|
|
2019-09-07 15:43:35 +00:00
|
|
|
// 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`.
|
2019-01-13 02:27:38 +00:00
|
|
|
FMT_FUNC fp get_cached_power(int min_exponent, int& pow10_exponent) {
|
2018-05-27 17:57:26 +00:00
|
|
|
const double one_over_log2_10 = 0.30102999566398114; // 1 / log2(10)
|
2019-01-13 02:27:38 +00:00
|
|
|
int index = static_cast<int>(
|
|
|
|
std::ceil((min_exponent + fp::significand_size - 1) * one_over_log2_10));
|
2018-05-27 17:57:26 +00:00
|
|
|
// Decimal exponent of the first (smallest) cached power of 10.
|
|
|
|
const int first_dec_exp = -348;
|
2018-08-15 13:54:43 +00:00
|
|
|
// Difference between 2 consecutive decimal exponents in cached powers of 10.
|
2018-05-27 17:57:26 +00:00
|
|
|
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;
|
2019-07-03 23:14:14 +00:00
|
|
|
return fp(data::pow10_significands[index], data::pow10_exponents[index]);
|
2018-05-27 17:57:26 +00:00
|
|
|
}
|
2018-08-25 23:08:32 +00:00
|
|
|
|
2019-10-05 18:45:33 +00:00
|
|
|
// 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;
|
|
|
|
}
|
|
|
|
};
|
|
|
|
|
2019-09-07 19:54:16 +00:00
|
|
|
class bigint {
|
|
|
|
private:
|
2019-09-07 21:23:19 +00:00
|
|
|
// 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;
|
2019-09-08 15:09:24 +00:00
|
|
|
using double_bigit = uint64_t;
|
2019-09-07 21:23:19 +00:00
|
|
|
basic_memory_buffer<bigit> bigits_;
|
2019-10-06 19:34:02 +00:00
|
|
|
int exp_;
|
2019-09-07 21:23:19 +00:00
|
|
|
|
|
|
|
static FMT_CONSTEXPR_DECL const int bigit_bits = bits<bigit>::value;
|
2019-09-07 19:54:16 +00:00
|
|
|
|
|
|
|
friend struct formatter<bigint>;
|
|
|
|
|
2019-10-09 17:31:17 +00:00
|
|
|
void subtract_bigits(int index, bigit other, bigit& borrow) {
|
|
|
|
auto result = static_cast<double_bigit>(bigits_[index]) - other - borrow;
|
|
|
|
bigits_[index] = static_cast<bigit>(result);
|
|
|
|
borrow = static_cast<bigit>(result >> (bigit_bits * 2 - 1));
|
|
|
|
}
|
|
|
|
|
2019-10-13 18:36:21 +00:00
|
|
|
void remove_leading_zeros() {
|
|
|
|
int num_bigits = static_cast<int>(bigits_.size()) - 1;
|
|
|
|
while (num_bigits > 0 && bigits_[num_bigits] == 0) --num_bigits;
|
|
|
|
bigits_.resize(num_bigits + 1);
|
|
|
|
}
|
|
|
|
|
2019-10-09 17:31:17 +00:00
|
|
|
// Computes *this -= other assuming aligned bigints and *this >= other.
|
|
|
|
void subtract_aligned(const bigint& other) {
|
|
|
|
FMT_ASSERT(other.exp_ >= exp_, "unaligned bigints");
|
2019-10-13 16:03:07 +00:00
|
|
|
FMT_ASSERT(compare(*this, other) >= 0, "");
|
2019-10-09 17:31:17 +00:00
|
|
|
bigit borrow = 0;
|
|
|
|
int i = other.exp_ - exp_;
|
|
|
|
for (int j = 0, n = static_cast<int>(other.bigits_.size()); j != n;
|
|
|
|
++i, ++j) {
|
|
|
|
subtract_bigits(i, other.bigits_[j], borrow);
|
|
|
|
}
|
|
|
|
while (borrow > 0) subtract_bigits(i, 0, borrow);
|
2019-10-13 18:36:21 +00:00
|
|
|
remove_leading_zeros();
|
2019-10-09 17:31:17 +00:00
|
|
|
}
|
|
|
|
|
2019-10-13 18:36:21 +00:00
|
|
|
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);
|
|
|
|
}
|
2019-10-06 19:34:02 +00:00
|
|
|
|
2019-10-13 18:36:21 +00:00
|
|
|
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;
|
|
|
|
}
|
2019-10-06 19:34:02 +00:00
|
|
|
}
|
|
|
|
|
2019-10-13 18:36:21 +00:00
|
|
|
public:
|
|
|
|
bigint() : exp_(0) {}
|
|
|
|
explicit bigint(uint64_t n) { assign(n); }
|
|
|
|
|
2019-10-06 19:34:02 +00:00
|
|
|
bigint(const bigint&) = delete;
|
|
|
|
void operator=(const bigint&) = delete;
|
|
|
|
|
2019-10-13 18:36:21 +00:00
|
|
|
void assign(const bigint& other) {
|
|
|
|
bigits_.resize(other.bigits_.size());
|
|
|
|
auto data = other.bigits_.data();
|
|
|
|
std::copy(data, data + other.bigits_.size(), bigits_.data());
|
|
|
|
exp_ = other.exp_;
|
|
|
|
}
|
|
|
|
|
|
|
|
void assign(uint64_t n) {
|
|
|
|
int num_bigits = 0;
|
|
|
|
do {
|
|
|
|
bigits_[num_bigits++] = n & ~bigit(0);
|
|
|
|
n >>= bigit_bits;
|
|
|
|
} while (n != 0);
|
|
|
|
bigits_.resize(num_bigits);
|
|
|
|
exp_ = 0;
|
|
|
|
}
|
|
|
|
|
2019-10-06 19:34:02 +00:00
|
|
|
int num_bigits() const { return static_cast<int>(bigits_.size()) + exp_; }
|
|
|
|
|
|
|
|
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;
|
|
|
|
}
|
|
|
|
|
2019-10-13 18:36:21 +00:00
|
|
|
template <typename Int> bigint& operator*=(Int value) {
|
|
|
|
FMT_ASSERT(value > 0, "");
|
|
|
|
multiply(uint32_or_64_or_128_t<Int>(value));
|
2019-10-06 19:34:02 +00:00
|
|
|
return *this;
|
|
|
|
}
|
|
|
|
|
2019-10-13 16:03:07 +00:00
|
|
|
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.bigits_[i], rhs_bigit = rhs.bigits_[j];
|
|
|
|
if (lhs_bigit != rhs_bigit) return lhs_bigit > rhs_bigit ? 1 : -1;
|
|
|
|
}
|
|
|
|
if (i != j) return i > j ? 1 : -1;
|
|
|
|
return 0;
|
2019-10-06 19:34:02 +00:00
|
|
|
}
|
2019-09-08 15:09:24 +00:00
|
|
|
|
2019-10-13 14:08:39 +00:00
|
|
|
// 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.bigits_[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;
|
|
|
|
}
|
|
|
|
|
2019-09-08 15:09:24 +00:00
|
|
|
// 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() {
|
2019-10-05 18:45:33 +00:00
|
|
|
basic_memory_buffer<bigit> n(std::move(bigits_));
|
|
|
|
int num_bigits = static_cast<int>(bigits_.size());
|
2019-10-06 19:34:02 +00:00
|
|
|
int num_result_bigits = 2 * num_bigits;
|
|
|
|
bigits_.resize(num_result_bigits);
|
2019-10-05 18:45:33 +00:00
|
|
|
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];
|
|
|
|
}
|
|
|
|
bigits_[bigit_index] = static_cast<bigit>(sum);
|
|
|
|
sum >>= bits<bigit>::value; // Compute the carry.
|
|
|
|
}
|
|
|
|
// Do the same for the top half.
|
2019-10-06 19:34:02 +00:00
|
|
|
for (int bigit_index = num_bigits; bigit_index < num_result_bigits;
|
2019-10-05 18:45:33 +00:00
|
|
|
++bigit_index) {
|
2019-10-09 17:31:17 +00:00
|
|
|
for (int j = num_bigits - 1, i = bigit_index - j; i < num_bigits;)
|
|
|
|
sum += static_cast<double_bigit>(n[i++]) * n[j--];
|
2019-10-05 18:45:33 +00:00
|
|
|
bigits_[bigit_index] = static_cast<bigit>(sum);
|
|
|
|
sum >>= bits<bigit>::value;
|
|
|
|
}
|
2019-10-06 19:34:02 +00:00
|
|
|
--num_result_bigits;
|
2019-10-13 18:36:21 +00:00
|
|
|
remove_leading_zeros();
|
2019-10-06 19:34:02 +00:00
|
|
|
exp_ *= 2;
|
2019-09-08 15:09:24 +00:00
|
|
|
}
|
|
|
|
|
2019-10-06 19:34:02 +00:00
|
|
|
// Divides this bignum by divisor, assigning the remainder to this and
|
|
|
|
// returning the quotient.
|
|
|
|
int divmod_assign(const bigint& divisor) {
|
2019-10-09 17:31:17 +00:00
|
|
|
FMT_ASSERT(this != &divisor, "");
|
2019-10-13 16:03:07 +00:00
|
|
|
if (compare(*this, divisor) < 0) return 0;
|
2019-10-09 17:31:17 +00:00
|
|
|
int num_bigits = static_cast<int>(bigits_.size());
|
|
|
|
FMT_ASSERT(divisor.bigits_[divisor.bigits_.size() - 1] != 0, "");
|
|
|
|
int exp_difference = exp_ - divisor.exp_;
|
|
|
|
if (exp_difference > 0) {
|
|
|
|
// Align bigints by adding trailing zeros to simplify subtraction.
|
|
|
|
bigits_.resize(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;
|
2019-09-08 00:38:27 +00:00
|
|
|
}
|
2019-10-09 17:31:17 +00:00
|
|
|
int quotient = 0;
|
|
|
|
do {
|
|
|
|
subtract_aligned(divisor);
|
|
|
|
++quotient;
|
2019-10-13 16:03:07 +00:00
|
|
|
} while (compare(*this, divisor) >= 0);
|
2019-10-06 19:34:02 +00:00
|
|
|
return quotient;
|
2019-09-08 15:09:24 +00:00
|
|
|
}
|
2019-09-07 19:54:16 +00:00
|
|
|
};
|
|
|
|
|
2019-03-10 18:14:50 +00:00
|
|
|
enum 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 down;
|
|
|
|
// Round up if (remainder - error) * 2 >= divisor.
|
|
|
|
if (remainder >= error &&
|
|
|
|
remainder - error >= divisor - (remainder - error)) {
|
|
|
|
return up;
|
|
|
|
}
|
|
|
|
return unknown;
|
|
|
|
}
|
|
|
|
|
2019-03-10 22:07:46 +00:00
|
|
|
namespace digits {
|
|
|
|
enum result {
|
|
|
|
more, // Generate more digits.
|
|
|
|
done, // Done generating digits.
|
|
|
|
error // Digit generation cancelled due to an error.
|
|
|
|
};
|
|
|
|
}
|
|
|
|
|
2019-04-27 13:52:46 +00:00
|
|
|
// 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).
|
2019-03-10 21:43:26 +00:00
|
|
|
template <typename Handler>
|
2019-04-27 13:52:46 +00:00
|
|
|
digits::result grisu_gen_digits(fp value, uint64_t error, int& exp,
|
|
|
|
Handler& handler) {
|
2019-02-22 19:05:01 +00:00
|
|
|
fp one(1ull << -value.e, value.e);
|
|
|
|
// The integral part of scaled value (p1 in Grisu) = value / one. It cannot be
|
2019-02-14 04:03:27 +00:00
|
|
|
// 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.
|
2019-02-22 19:05:01 +00:00
|
|
|
uint32_t integral = static_cast<uint32_t>(value.f >> -one.e);
|
2019-02-14 04:03:27 +00:00
|
|
|
FMT_ASSERT(integral != 0, "");
|
2019-02-22 19:05:01 +00:00
|
|
|
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);
|
2019-02-14 04:03:27 +00:00
|
|
|
exp = count_digits(integral); // kappa in Grisu.
|
2019-03-13 17:46:25 +00:00
|
|
|
// Divide by 10 to prevent overflow.
|
2019-07-03 23:14:14 +00:00
|
|
|
auto result = handler.on_start(data::powers_of_10_64[exp - 1] << -one.e,
|
2019-03-13 17:46:25 +00:00
|
|
|
value.f / 10, error * 10, exp);
|
2019-03-13 15:29:37 +00:00
|
|
|
if (result != digits::more) return result;
|
2019-02-14 04:03:27 +00:00
|
|
|
// Generate digits for the integral part. This can produce up to 10 digits.
|
|
|
|
do {
|
2018-08-25 23:08:32 +00:00
|
|
|
uint32_t digit = 0;
|
2019-10-12 15:33:24 +00:00
|
|
|
auto divmod_integral = [&](uint32_t divisor) {
|
|
|
|
digit = integral / divisor;
|
|
|
|
integral %= divisor;
|
|
|
|
};
|
2018-08-25 23:08:32 +00:00
|
|
|
// This optimization by miloyip reduces the number of integer divisions by
|
|
|
|
// one per iteration.
|
2018-08-26 15:12:35 +00:00
|
|
|
switch (exp) {
|
2019-01-13 02:27:38 +00:00
|
|
|
case 10:
|
2019-10-12 15:33:24 +00:00
|
|
|
divmod_integral(1000000000);
|
2019-01-13 02:27:38 +00:00
|
|
|
break;
|
|
|
|
case 9:
|
2019-10-12 15:33:24 +00:00
|
|
|
divmod_integral(100000000);
|
2019-01-13 02:27:38 +00:00
|
|
|
break;
|
|
|
|
case 8:
|
2019-10-12 15:33:24 +00:00
|
|
|
divmod_integral(10000000);
|
2019-01-13 02:27:38 +00:00
|
|
|
break;
|
|
|
|
case 7:
|
2019-10-12 15:33:24 +00:00
|
|
|
divmod_integral(1000000);
|
2019-01-13 02:27:38 +00:00
|
|
|
break;
|
|
|
|
case 6:
|
2019-10-12 15:33:24 +00:00
|
|
|
divmod_integral(100000);
|
2019-01-13 02:27:38 +00:00
|
|
|
break;
|
|
|
|
case 5:
|
2019-10-12 15:33:24 +00:00
|
|
|
divmod_integral(10000);
|
2019-01-13 02:27:38 +00:00
|
|
|
break;
|
|
|
|
case 4:
|
2019-10-12 15:33:24 +00:00
|
|
|
divmod_integral(1000);
|
2019-01-13 02:27:38 +00:00
|
|
|
break;
|
|
|
|
case 3:
|
2019-10-12 15:33:24 +00:00
|
|
|
divmod_integral(100);
|
2019-01-13 02:27:38 +00:00
|
|
|
break;
|
|
|
|
case 2:
|
2019-10-12 15:33:24 +00:00
|
|
|
divmod_integral(10);
|
2019-01-13 02:27:38 +00:00
|
|
|
break;
|
|
|
|
case 1:
|
2019-02-14 04:03:27 +00:00
|
|
|
digit = integral;
|
|
|
|
integral = 0;
|
2019-01-13 02:27:38 +00:00
|
|
|
break;
|
2018-08-25 23:08:32 +00:00
|
|
|
default:
|
|
|
|
FMT_ASSERT(false, "invalid number of digits");
|
|
|
|
}
|
2018-08-26 15:12:35 +00:00
|
|
|
--exp;
|
2019-02-14 04:03:27 +00:00
|
|
|
uint64_t remainder =
|
|
|
|
(static_cast<uint64_t>(integral) << -one.e) + fractional;
|
2019-03-13 15:29:37 +00:00
|
|
|
result = handler.on_digit(static_cast<char>('0' + digit),
|
2019-07-03 23:14:14 +00:00
|
|
|
data::powers_of_10_64[exp] << -one.e, remainder,
|
2019-03-13 15:29:37 +00:00
|
|
|
error, exp, true);
|
|
|
|
if (result != digits::more) return result;
|
2019-02-14 04:03:27 +00:00
|
|
|
} while (exp > 0);
|
|
|
|
// Generate digits for the fractional part.
|
2018-08-25 23:08:32 +00:00
|
|
|
for (;;) {
|
2019-02-14 04:03:27 +00:00
|
|
|
fractional *= 10;
|
2019-03-10 21:29:28 +00:00
|
|
|
error *= 10;
|
2019-03-10 22:07:46 +00:00
|
|
|
char digit =
|
|
|
|
static_cast<char>('0' + static_cast<char>(fractional >> -one.e));
|
2019-02-14 04:03:27 +00:00
|
|
|
fractional &= one.f - 1;
|
2018-08-26 15:12:35 +00:00
|
|
|
--exp;
|
2019-03-13 15:29:37 +00:00
|
|
|
result = handler.on_digit(digit, one.f, fractional, error, exp, false);
|
|
|
|
if (result != digits::more) return result;
|
2018-08-25 23:08:32 +00:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2019-03-10 21:43:26 +00:00
|
|
|
// The fixed precision digit handler.
|
|
|
|
struct fixed_handler {
|
2019-03-10 22:07:46 +00:00
|
|
|
char* buf;
|
|
|
|
int size;
|
2019-02-14 15:21:46 +00:00
|
|
|
int precision;
|
2019-02-22 19:05:01 +00:00
|
|
|
int exp10;
|
2019-02-23 16:42:45 +00:00
|
|
|
bool fixed;
|
2019-02-14 15:21:46 +00:00
|
|
|
|
2019-03-10 22:07:46 +00:00
|
|
|
digits::result on_start(uint64_t divisor, uint64_t remainder, uint64_t error,
|
2019-03-13 15:29:37 +00:00
|
|
|
int& exp) {
|
2019-03-13 17:46:25 +00:00
|
|
|
// Non-fixed formats require at least one digit and no precision adjustment.
|
2019-03-10 22:07:46 +00:00
|
|
|
if (!fixed) return digits::more;
|
2019-03-13 20:10:18 +00:00
|
|
|
// 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;
|
2019-07-04 13:59:11 +00:00
|
|
|
if (precision < 0) return digits::done;
|
2019-03-10 22:07:46 +00:00
|
|
|
auto dir = get_round_direction(divisor, remainder, error);
|
2019-03-13 17:46:25 +00:00
|
|
|
if (dir == unknown) return digits::error;
|
|
|
|
buf[size++] = dir == up ? '1' : '0';
|
|
|
|
return digits::done;
|
2019-02-23 16:42:45 +00:00
|
|
|
}
|
2019-02-22 19:05:01 +00:00
|
|
|
|
2019-03-10 22:07:46 +00:00
|
|
|
digits::result on_digit(char digit, uint64_t divisor, uint64_t remainder,
|
2019-03-15 15:42:14 +00:00
|
|
|
uint64_t error, int, bool integral) {
|
2019-03-13 20:10:18 +00:00
|
|
|
FMT_ASSERT(remainder < divisor, "");
|
2019-03-10 22:07:46 +00:00
|
|
|
buf[size++] = digit;
|
2019-04-19 21:48:42 +00:00
|
|
|
if (size < precision) return digits::more;
|
2019-02-22 19:05:01 +00:00
|
|
|
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.
|
2019-03-13 15:29:37 +00:00
|
|
|
if (error >= divisor || error >= divisor - error) return digits::error;
|
2019-02-23 16:42:45 +00:00
|
|
|
} else {
|
2019-03-13 20:10:18 +00:00
|
|
|
FMT_ASSERT(error == 1 && divisor > 2, "");
|
2019-02-23 16:42:45 +00:00
|
|
|
}
|
2019-03-10 22:07:46 +00:00
|
|
|
auto dir = get_round_direction(divisor, remainder, error);
|
|
|
|
if (dir != up) return dir == 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];
|
2019-03-09 17:35:16 +00:00
|
|
|
}
|
2019-03-10 22:07:46 +00:00
|
|
|
if (buf[0] > '9') {
|
|
|
|
buf[0] = '1';
|
2019-03-15 15:42:14 +00:00
|
|
|
buf[size++] = '0';
|
2019-03-10 22:07:46 +00:00
|
|
|
}
|
|
|
|
return digits::done;
|
2019-02-14 15:21:46 +00:00
|
|
|
}
|
|
|
|
};
|
|
|
|
|
2019-03-10 21:43:26 +00:00
|
|
|
// The shortest representation digit handler.
|
2019-04-27 13:52:46 +00:00
|
|
|
template <int GRISU_VERSION> struct grisu_shortest_handler {
|
2019-03-10 22:07:46 +00:00
|
|
|
char* buf;
|
|
|
|
int size;
|
2019-04-27 13:52:46 +00:00
|
|
|
// Distance between scaled value and upper bound (wp_W in Grisu3).
|
|
|
|
uint64_t diff;
|
2019-02-14 15:21:46 +00:00
|
|
|
|
2019-03-10 22:07:46 +00:00
|
|
|
digits::result on_start(uint64_t, uint64_t, uint64_t, int&) {
|
|
|
|
return digits::more;
|
2019-03-10 21:43:26 +00:00
|
|
|
}
|
2019-04-27 13:52:46 +00:00
|
|
|
|
2019-05-15 15:40:21 +00:00
|
|
|
// Decrement the generated number approaching value from above.
|
|
|
|
void round(uint64_t d, uint64_t divisor, uint64_t& remainder,
|
|
|
|
uint64_t error) {
|
2019-05-30 14:01:31 +00:00
|
|
|
while (
|
|
|
|
remainder < d && error - remainder >= divisor &&
|
|
|
|
(remainder + divisor < d || d - remainder >= remainder + divisor - d)) {
|
2019-05-15 15:40:21 +00:00
|
|
|
--buf[size - 1];
|
|
|
|
remainder += divisor;
|
|
|
|
}
|
|
|
|
}
|
|
|
|
|
|
|
|
// Implements Grisu's round_weed.
|
2019-03-10 22:07:46 +00:00
|
|
|
digits::result on_digit(char digit, uint64_t divisor, uint64_t remainder,
|
|
|
|
uint64_t error, int exp, bool integral) {
|
|
|
|
buf[size++] = digit;
|
2019-04-27 13:52:46 +00:00
|
|
|
if (remainder >= error) return digits::more;
|
|
|
|
if (GRISU_VERSION != 3) {
|
2019-07-03 23:14:14 +00:00
|
|
|
uint64_t d = integral ? diff : diff * data::powers_of_10_64[-exp];
|
2019-05-15 15:40:21 +00:00
|
|
|
round(d, divisor, remainder, error);
|
2019-04-27 13:52:46 +00:00
|
|
|
return digits::done;
|
|
|
|
}
|
2019-07-03 23:14:14 +00:00
|
|
|
uint64_t unit = integral ? 1 : data::powers_of_10_64[-exp];
|
2019-05-12 15:56:50 +00:00
|
|
|
uint64_t up = (diff - 1) * unit; // wp_Wup
|
2019-05-15 15:40:21 +00:00
|
|
|
round(up, divisor, remainder, error);
|
2019-05-12 15:56:50 +00:00
|
|
|
uint64_t down = (diff + 1) * unit; // wp_Wdown
|
2019-04-27 13:52:46 +00:00
|
|
|
if (remainder < down && error - remainder >= divisor &&
|
|
|
|
(remainder + divisor < down ||
|
|
|
|
down - remainder > remainder + divisor - down)) {
|
|
|
|
return digits::error;
|
|
|
|
}
|
|
|
|
return 2 * unit <= remainder && remainder <= error - 4 * unit
|
|
|
|
? digits::done
|
|
|
|
: digits::error;
|
2019-02-14 15:21:46 +00:00
|
|
|
}
|
|
|
|
};
|
|
|
|
|
2019-10-13 18:36:21 +00:00
|
|
|
// Formats v using a variation of the Fixed-Precision Positive Floating-Point
|
2019-10-13 16:03:07 +00:00
|
|
|
// Printout ((FPP)^2) algorithm by Steele & White:
|
|
|
|
// http://kurtstephens.com/files/p372-steele.pdf.
|
2019-10-13 14:08:39 +00:00
|
|
|
template <typename Double>
|
|
|
|
FMT_FUNC void fallback_format(Double v, buffer<char>& buf, int& exp10) {
|
2019-10-12 15:33:24 +00:00
|
|
|
fp fp_value(v);
|
|
|
|
// Shift to account for unequal gaps when lower boundary is 2 times closer.
|
|
|
|
// TODO: handle denormals
|
|
|
|
int shift = fp_value.f == 1 ? 1 : 0;
|
2019-10-13 18:36:21 +00:00
|
|
|
bigint numerator; // 2 * R in (FPP)^2.
|
|
|
|
bigint denominator; // 2 * S in (FPP)^2.
|
|
|
|
bigint lower; // (M^- in (FPP)^2).
|
|
|
|
bigint upper_store;
|
|
|
|
bigint *upper = nullptr; // (M^+ in (FPP)^2).
|
|
|
|
// Shift numerator and denominator by an extra bit to make lower and upper
|
|
|
|
// which are normally half ulp integers. This eliminates multiplication by 2
|
|
|
|
// during later computations.
|
|
|
|
uint64_t significand = fp_value.f << (shift + 1);
|
2019-10-12 15:33:24 +00:00
|
|
|
if (fp_value.e >= 0) {
|
2019-10-13 18:36:21 +00:00
|
|
|
numerator.assign(significand);
|
|
|
|
numerator <<= fp_value.e;
|
|
|
|
lower.assign(1);
|
2019-10-12 15:33:24 +00:00
|
|
|
lower <<= fp_value.e;
|
2019-10-13 18:36:21 +00:00
|
|
|
if (shift != 0) {
|
|
|
|
upper_store.assign(1);
|
|
|
|
upper_store <<= fp_value.e + shift;
|
|
|
|
upper = &upper_store;
|
|
|
|
} else {
|
|
|
|
upper = &lower;
|
|
|
|
}
|
|
|
|
denominator.assign_pow10(exp10);
|
|
|
|
denominator <<= 1;
|
2019-10-06 19:34:02 +00:00
|
|
|
} else {
|
2019-10-13 18:36:21 +00:00
|
|
|
numerator.assign_pow10(-exp10);
|
|
|
|
lower.assign(numerator);
|
|
|
|
if (shift != 0) {
|
|
|
|
upper_store.assign(numerator);
|
|
|
|
upper_store <<= 1;
|
|
|
|
upper = &upper_store;
|
|
|
|
} else {
|
|
|
|
upper = &lower;
|
|
|
|
}
|
|
|
|
numerator *= significand;
|
|
|
|
denominator.assign(1);
|
|
|
|
denominator <<= 1 - fp_value.e;
|
2019-10-05 18:45:33 +00:00
|
|
|
}
|
2019-10-13 18:36:21 +00:00
|
|
|
// Invariant: fp_value == (numerator / denominator) * pow(10, exp10).
|
2019-10-13 16:03:07 +00:00
|
|
|
bool even = (fp_value.f & 1) == 0;
|
2019-10-13 14:08:39 +00:00
|
|
|
int num_digits = 0;
|
|
|
|
char* data = buf.data();
|
|
|
|
for (;;) {
|
2019-10-13 18:36:21 +00:00
|
|
|
int digit = numerator.divmod_assign(denominator);
|
|
|
|
bool low = compare(numerator, lower) - even < 0; // numerator <[=] lower.
|
|
|
|
bool high = add_compare(numerator, *upper, denominator) + even >
|
|
|
|
0; // numerator + upper >[=] pow10.
|
2019-10-13 14:08:39 +00:00
|
|
|
if (low || high) {
|
2019-10-13 16:03:07 +00:00
|
|
|
if (!low) {
|
|
|
|
++digit;
|
|
|
|
} else if (high) {
|
2019-10-13 18:36:21 +00:00
|
|
|
// TODO: round up if 2 * numerator >= denominator
|
2019-10-13 16:03:07 +00:00
|
|
|
}
|
2019-10-13 14:08:39 +00:00
|
|
|
data[num_digits++] = static_cast<char>('0' + digit);
|
|
|
|
buf.resize(num_digits);
|
2019-10-13 18:36:21 +00:00
|
|
|
exp10 -= num_digits -1;
|
2019-10-13 14:08:39 +00:00
|
|
|
return;
|
|
|
|
}
|
|
|
|
data[num_digits++] = static_cast<char>('0' + digit);
|
2019-10-13 18:36:21 +00:00
|
|
|
numerator *= 10;
|
2019-10-13 16:03:07 +00:00
|
|
|
lower *= 10;
|
2019-10-13 18:36:21 +00:00
|
|
|
if (upper != &lower) *upper *= 10;
|
2019-10-13 14:08:39 +00:00
|
|
|
}
|
2019-09-08 00:38:27 +00:00
|
|
|
}
|
|
|
|
|
2019-06-03 15:34:27 +00:00
|
|
|
template <typename Double,
|
|
|
|
enable_if_t<(sizeof(Double) == sizeof(uint64_t)), int>>
|
2019-10-13 18:36:21 +00:00
|
|
|
bool grisu_format(Double value, buffer<char>& buf, int precision,
|
|
|
|
unsigned options, int& exp) {
|
2018-08-26 16:51:49 +00:00
|
|
|
FMT_ASSERT(value >= 0, "value is negative");
|
2019-09-08 00:07:53 +00:00
|
|
|
const bool fixed = (options & grisu_options::fixed) != 0;
|
2019-01-30 15:06:40 +00:00
|
|
|
if (value <= 0) { // <= instead of == to silence a warning.
|
2019-06-30 13:54:41 +00:00
|
|
|
if (precision <= 0 || !fixed) {
|
2019-02-22 19:05:01 +00:00
|
|
|
exp = 0;
|
|
|
|
buf.push_back('0');
|
|
|
|
} else {
|
|
|
|
exp = -precision;
|
2019-08-29 18:23:14 +00:00
|
|
|
buf.resize(to_unsigned(precision));
|
2019-02-22 19:05:01 +00:00
|
|
|
std::uninitialized_fill_n(buf.data(), precision, '0');
|
|
|
|
}
|
2018-10-14 05:14:36 +00:00
|
|
|
return true;
|
2018-08-26 16:51:49 +00:00
|
|
|
}
|
2018-10-14 05:14:36 +00:00
|
|
|
|
2019-09-08 00:07:53 +00:00
|
|
|
const fp fp_value(value);
|
2019-02-14 15:21:46 +00:00
|
|
|
const int min_exp = -60; // alpha in Grisu.
|
|
|
|
int cached_exp10 = 0; // K in Grisu.
|
2019-02-22 19:05:01 +00:00
|
|
|
if (precision != -1) {
|
|
|
|
if (precision > 17) return false;
|
2019-09-08 00:07:53 +00:00
|
|
|
fp normalized = normalize(fp_value);
|
2019-09-07 19:54:16 +00:00
|
|
|
const auto cached_pow = get_cached_power(
|
2019-09-08 00:07:53 +00:00
|
|
|
min_exp - (normalized.e + fp::significand_size), cached_exp10);
|
|
|
|
normalized = normalized * cached_pow;
|
2019-03-10 22:07:46 +00:00
|
|
|
fixed_handler handler{buf.data(), 0, precision, -cached_exp10, fixed};
|
2019-09-08 00:07:53 +00:00
|
|
|
if (grisu_gen_digits(normalized, 1, exp, handler) == digits::error)
|
2019-03-10 22:07:46 +00:00
|
|
|
return false;
|
|
|
|
buf.resize(to_unsigned(handler.size));
|
2019-02-14 15:21:46 +00:00
|
|
|
} else {
|
|
|
|
fp lower, upper; // w^- and w^+ in the Grisu paper.
|
|
|
|
fp_value.compute_boundaries(lower, upper);
|
|
|
|
// Find a cached power of 10 such that multiplying upper by it will bring
|
|
|
|
// the exponent in the range [min_exp, -32].
|
2019-09-08 00:07:53 +00:00
|
|
|
const auto cached_pow = get_cached_power( // \tilde{c}_{-k} in Grisu.
|
2019-02-14 15:21:46 +00:00
|
|
|
min_exp - (upper.e + fp::significand_size), cached_exp10);
|
2019-09-08 00:07:53 +00:00
|
|
|
fp normalized = normalize(fp_value);
|
|
|
|
normalized = normalized * cached_pow;
|
2019-02-14 15:21:46 +00:00
|
|
|
lower = lower * cached_pow; // \tilde{M}^- in Grisu.
|
2019-04-27 13:52:46 +00:00
|
|
|
upper = upper * cached_pow; // \tilde{M}^+ in Grisu.
|
|
|
|
assert(min_exp <= upper.e && upper.e <= -32);
|
|
|
|
auto result = digits::result();
|
|
|
|
int size = 0;
|
2019-10-13 18:36:21 +00:00
|
|
|
if ((options & grisu_options::grisu2) != 0) {
|
|
|
|
++lower.f; // \tilde{M}^- + 1 ulp -> M^-_{\uparrow}.
|
|
|
|
--upper.f; // \tilde{M}^+ - 1 ulp -> M^+_{\downarrow}.
|
|
|
|
grisu_shortest_handler<2> handler{buf.data(), 0, (upper - normalized).f};
|
|
|
|
result = grisu_gen_digits(upper, upper.f - lower.f, exp, handler);
|
|
|
|
size = handler.size;
|
|
|
|
assert(result != digits::error);
|
|
|
|
} else {
|
2019-04-27 13:52:46 +00:00
|
|
|
--lower.f; // \tilde{M}^- - 1 ulp -> M^-_{\downarrow}.
|
|
|
|
++upper.f; // \tilde{M}^+ + 1 ulp -> M^+_{\uparrow}.
|
|
|
|
// Numbers outside of (lower, upper) definitely do not round to value.
|
2019-09-08 00:07:53 +00:00
|
|
|
grisu_shortest_handler<3> handler{buf.data(), 0, (upper - normalized).f};
|
2019-04-27 13:52:46 +00:00
|
|
|
result = grisu_gen_digits(upper, upper.f - lower.f, exp, handler);
|
|
|
|
size = handler.size;
|
2019-09-07 19:54:16 +00:00
|
|
|
if (result == digits::error) {
|
2019-10-13 18:36:21 +00:00
|
|
|
exp = exp + size - cached_exp10 - 1;
|
2019-10-13 14:08:39 +00:00
|
|
|
fallback_format(value, buf, exp);
|
|
|
|
return true;
|
2019-09-07 19:54:16 +00:00
|
|
|
}
|
2019-04-27 13:52:46 +00:00
|
|
|
}
|
|
|
|
buf.resize(to_unsigned(size));
|
2019-02-14 15:21:46 +00:00
|
|
|
}
|
|
|
|
exp -= cached_exp10;
|
2018-10-14 05:14:36 +00:00
|
|
|
return true;
|
2018-08-25 23:08:32 +00:00
|
|
|
}
|
2018-10-17 16:15:29 +00:00
|
|
|
|
|
|
|
template <typename Double>
|
2019-07-04 22:15:14 +00:00
|
|
|
char* sprintf_format(Double value, internal::buffer<char>& buf,
|
2019-07-07 13:54:25 +00:00
|
|
|
sprintf_specs specs) {
|
2018-10-17 16:15:29 +00:00
|
|
|
// Buffer capacity must be non-zero, otherwise MSVC's vsnprintf_s will fail.
|
2018-11-29 00:15:15 +00:00
|
|
|
FMT_ASSERT(buf.capacity() != 0, "empty buffer");
|
2018-10-17 16:15:29 +00:00
|
|
|
|
|
|
|
// Build format string.
|
2019-03-10 18:14:50 +00:00
|
|
|
enum { max_format_size = 10 }; // longest format: %#-*.*Lg
|
|
|
|
char format[max_format_size];
|
2019-01-13 02:27:38 +00:00
|
|
|
char* format_ptr = format;
|
2018-10-17 16:15:29 +00:00
|
|
|
*format_ptr++ = '%';
|
2019-07-07 13:39:20 +00:00
|
|
|
if (specs.alt || !specs.type) *format_ptr++ = '#';
|
|
|
|
if (specs.precision >= 0) {
|
2018-10-17 16:15:29 +00:00
|
|
|
*format_ptr++ = '.';
|
|
|
|
*format_ptr++ = '*';
|
|
|
|
}
|
2019-01-13 02:27:38 +00:00
|
|
|
if (std::is_same<Double, long double>::value) *format_ptr++ = 'L';
|
2019-03-01 19:32:05 +00:00
|
|
|
|
2019-07-07 13:39:20 +00:00
|
|
|
char type = specs.type;
|
2019-03-01 19:32:05 +00:00
|
|
|
|
|
|
|
if (type == '%')
|
|
|
|
type = 'f';
|
2019-07-04 22:15:14 +00:00
|
|
|
else if (type == 0 || type == 'n')
|
2019-03-01 19:32:05 +00:00
|
|
|
type = 'g';
|
2019-10-05 18:45:33 +00:00
|
|
|
if (FMT_MSC_VER && type == 'F')
|
|
|
|
type = 'f'; // // MSVC's printf doesn't support 'F'.
|
2019-02-03 15:44:42 +00:00
|
|
|
*format_ptr++ = type;
|
2018-10-17 16:15:29 +00:00
|
|
|
*format_ptr = '\0';
|
|
|
|
|
|
|
|
// Format using snprintf.
|
2019-05-30 14:01:31 +00:00
|
|
|
char* start = nullptr;
|
2019-07-04 22:15:14 +00:00
|
|
|
char* decimal_point_pos = nullptr;
|
2018-10-17 16:15:29 +00:00
|
|
|
for (;;) {
|
2018-11-29 00:15:15 +00:00
|
|
|
std::size_t buffer_size = buf.capacity();
|
|
|
|
start = &buf[0];
|
2019-04-17 00:08:24 +00:00
|
|
|
int result =
|
2019-07-07 13:39:20 +00:00
|
|
|
format_float(start, buffer_size, format, specs.precision, value);
|
2018-10-17 16:15:29 +00:00
|
|
|
if (result >= 0) {
|
|
|
|
unsigned n = internal::to_unsigned(result);
|
2018-11-29 00:15:15 +00:00
|
|
|
if (n < buf.capacity()) {
|
2019-03-17 20:15:33 +00:00
|
|
|
// Find the decimal point.
|
|
|
|
auto p = buf.data(), end = p + n;
|
|
|
|
if (*p == '+' || *p == '-') ++p;
|
2019-07-07 13:39:20 +00:00
|
|
|
if (specs.type != 'a' && specs.type != 'A') {
|
2019-06-13 03:03:56 +00:00
|
|
|
while (p < end && *p >= '0' && *p <= '9') ++p;
|
|
|
|
if (p < end && *p != 'e' && *p != 'E') {
|
2019-07-04 22:15:14 +00:00
|
|
|
decimal_point_pos = p;
|
2019-07-07 13:39:20 +00:00
|
|
|
if (!specs.type) {
|
2019-06-13 03:03:56 +00:00
|
|
|
// Keep only one trailing zero after the decimal point.
|
|
|
|
++p;
|
|
|
|
if (*p == '0') ++p;
|
|
|
|
while (p != end && *p >= '1' && *p <= '9') ++p;
|
|
|
|
char* where = p;
|
|
|
|
while (p != end && *p == '0') ++p;
|
|
|
|
if (p == end || *p < '0' || *p > '9') {
|
|
|
|
if (p != end) std::memmove(where, p, to_unsigned(end - p));
|
|
|
|
n -= static_cast<unsigned>(p - where);
|
|
|
|
}
|
2019-02-03 15:44:42 +00:00
|
|
|
}
|
|
|
|
}
|
|
|
|
}
|
2018-11-29 00:15:15 +00:00
|
|
|
buf.resize(n);
|
2018-10-17 16:15:29 +00:00
|
|
|
break; // The buffer is large enough - continue with formatting.
|
|
|
|
}
|
2018-11-29 00:15:15 +00:00
|
|
|
buf.reserve(n + 1);
|
2018-10-17 16:15:29 +00:00
|
|
|
} else {
|
|
|
|
// If result is negative we ask to increase the capacity by at least 1,
|
|
|
|
// but as std::vector, the buffer grows exponentially.
|
2018-11-29 00:15:15 +00:00
|
|
|
buf.reserve(buf.capacity() + 1);
|
2018-10-17 16:15:29 +00:00
|
|
|
}
|
|
|
|
}
|
2019-07-04 22:15:14 +00:00
|
|
|
return decimal_point_pos;
|
2018-10-17 16:15:29 +00:00
|
|
|
}
|
2018-04-22 00:26:24 +00:00
|
|
|
} // namespace internal
|
|
|
|
|
2019-09-07 19:54:16 +00:00
|
|
|
template <> struct formatter<internal::bigint> {
|
|
|
|
format_parse_context::iterator parse(format_parse_context& ctx) {
|
|
|
|
return ctx.begin();
|
|
|
|
}
|
|
|
|
|
|
|
|
format_context::iterator format(const internal::bigint& n,
|
|
|
|
format_context& ctx) {
|
|
|
|
auto out = ctx.out();
|
|
|
|
bool first = true;
|
2019-09-07 21:23:19 +00:00
|
|
|
for (auto i = n.bigits_.size(); i > 0; --i) {
|
|
|
|
auto value = n.bigits_[i - 1];
|
2019-09-07 19:54:16 +00:00
|
|
|
if (first) {
|
|
|
|
out = format_to(out, "{:x}", value);
|
|
|
|
first = false;
|
|
|
|
continue;
|
|
|
|
}
|
|
|
|
out = format_to(out, "{:08x}", value);
|
|
|
|
}
|
2019-10-06 19:34:02 +00:00
|
|
|
if (n.exp_ > 0)
|
|
|
|
out = format_to(out, "p{}", n.exp_ * internal::bigint::bigit_bits);
|
2019-09-07 19:54:16 +00:00
|
|
|
return out;
|
|
|
|
}
|
|
|
|
};
|
|
|
|
|
2015-06-12 14:15:57 +00:00
|
|
|
#if FMT_USE_WINDOWS_H
|
2014-04-30 14:23:43 +00:00
|
|
|
|
2017-02-19 14:46:51 +00:00
|
|
|
FMT_FUNC internal::utf8_to_utf16::utf8_to_utf16(string_view s) {
|
2014-12-16 15:01:01 +00:00
|
|
|
static const char ERROR_MSG[] = "cannot convert string from UTF-8 to UTF-16";
|
2015-08-07 14:34:58 +00:00
|
|
|
if (s.size() > INT_MAX)
|
2017-02-19 16:41:38 +00:00
|
|
|
FMT_THROW(windows_error(ERROR_INVALID_PARAMETER, ERROR_MSG));
|
2015-08-07 14:34:58 +00:00
|
|
|
int s_size = static_cast<int>(s.size());
|
2018-03-12 12:43:29 +00:00
|
|
|
if (s_size == 0) {
|
|
|
|
// MultiByteToWideChar does not support zero length, handle separately.
|
|
|
|
buffer_.resize(1);
|
|
|
|
buffer_[0] = 0;
|
|
|
|
return;
|
|
|
|
}
|
|
|
|
|
2019-01-13 02:27:38 +00:00
|
|
|
int length = MultiByteToWideChar(CP_UTF8, MB_ERR_INVALID_CHARS, s.data(),
|
2019-05-30 14:01:31 +00:00
|
|
|
s_size, nullptr, 0);
|
2019-01-13 02:27:38 +00:00
|
|
|
if (length == 0) FMT_THROW(windows_error(GetLastError(), ERROR_MSG));
|
2015-06-27 16:11:15 +00:00
|
|
|
buffer_.resize(length + 1);
|
2019-01-13 02:27:38 +00:00
|
|
|
length = MultiByteToWideChar(CP_UTF8, MB_ERR_INVALID_CHARS, s.data(), s_size,
|
|
|
|
&buffer_[0], length);
|
|
|
|
if (length == 0) FMT_THROW(windows_error(GetLastError(), ERROR_MSG));
|
2015-06-27 16:11:15 +00:00
|
|
|
buffer_[length] = 0;
|
2014-04-30 14:23:43 +00:00
|
|
|
}
|
|
|
|
|
2017-02-19 16:41:38 +00:00
|
|
|
FMT_FUNC internal::utf16_to_utf8::utf16_to_utf8(wstring_view s) {
|
2014-07-27 19:53:42 +00:00
|
|
|
if (int error_code = convert(s)) {
|
2017-02-19 16:41:38 +00:00
|
|
|
FMT_THROW(windows_error(error_code,
|
2019-01-13 02:27:38 +00:00
|
|
|
"cannot convert string from UTF-16 to UTF-8"));
|
2014-04-30 14:23:43 +00:00
|
|
|
}
|
|
|
|
}
|
|
|
|
|
2017-02-19 16:41:38 +00:00
|
|
|
FMT_FUNC int internal::utf16_to_utf8::convert(wstring_view s) {
|
2019-01-13 02:27:38 +00:00
|
|
|
if (s.size() > INT_MAX) return ERROR_INVALID_PARAMETER;
|
2015-08-07 14:08:46 +00:00
|
|
|
int s_size = static_cast<int>(s.size());
|
2018-03-12 12:43:29 +00:00
|
|
|
if (s_size == 0) {
|
|
|
|
// WideCharToMultiByte does not support zero length, handle separately.
|
|
|
|
buffer_.resize(1);
|
|
|
|
buffer_[0] = 0;
|
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
2019-05-30 14:01:31 +00:00
|
|
|
int length = WideCharToMultiByte(CP_UTF8, 0, s.data(), s_size, nullptr, 0,
|
|
|
|
nullptr, nullptr);
|
2019-01-13 02:27:38 +00:00
|
|
|
if (length == 0) return GetLastError();
|
2015-06-27 16:11:15 +00:00
|
|
|
buffer_.resize(length + 1);
|
2019-01-13 02:27:38 +00:00
|
|
|
length = WideCharToMultiByte(CP_UTF8, 0, s.data(), s_size, &buffer_[0],
|
2019-05-30 14:01:31 +00:00
|
|
|
length, nullptr, nullptr);
|
2019-01-13 02:27:38 +00:00
|
|
|
if (length == 0) return GetLastError();
|
2015-06-27 16:11:15 +00:00
|
|
|
buffer_[length] = 0;
|
2014-04-30 14:23:43 +00:00
|
|
|
return 0;
|
|
|
|
}
|
|
|
|
|
2019-01-13 02:27:38 +00:00
|
|
|
FMT_FUNC void windows_error::init(int err_code, string_view format_str,
|
|
|
|
format_args args) {
|
2015-02-17 02:11:42 +00:00
|
|
|
error_code_ = err_code;
|
2017-02-19 14:46:51 +00:00
|
|
|
memory_buffer buffer;
|
2017-02-17 14:38:53 +00:00
|
|
|
internal::format_windows_error(buffer, err_code, vformat(format_str, args));
|
2019-01-13 02:27:38 +00:00
|
|
|
std::runtime_error& base = *this;
|
2017-02-17 14:38:53 +00:00
|
|
|
base = std::runtime_error(to_string(buffer));
|
2014-06-30 21:26:29 +00:00
|
|
|
}
|
|
|
|
|
2019-04-07 17:05:49 +00:00
|
|
|
FMT_FUNC void internal::format_windows_error(internal::buffer<char>& out,
|
2019-01-13 02:27:38 +00:00
|
|
|
int error_code,
|
|
|
|
string_view message) FMT_NOEXCEPT {
|
2014-10-06 15:30:55 +00:00
|
|
|
FMT_TRY {
|
2018-01-06 17:09:50 +00:00
|
|
|
wmemory_buffer buf;
|
2018-03-04 18:33:42 +00:00
|
|
|
buf.resize(inline_buffer_size);
|
2016-03-03 01:35:34 +00:00
|
|
|
for (;;) {
|
2019-01-13 02:27:38 +00:00
|
|
|
wchar_t* system_message = &buf[0];
|
2016-10-22 15:04:20 +00:00
|
|
|
int result = FormatMessageW(
|
2019-05-30 14:01:31 +00:00
|
|
|
FORMAT_MESSAGE_FROM_SYSTEM | FORMAT_MESSAGE_IGNORE_INSERTS, nullptr,
|
2019-01-13 02:27:38 +00:00
|
|
|
error_code, MAKELANGID(LANG_NEUTRAL, SUBLANG_DEFAULT), system_message,
|
2019-05-30 14:01:31 +00:00
|
|
|
static_cast<uint32_t>(buf.size()), nullptr);
|
2016-03-03 01:35:34 +00:00
|
|
|
if (result != 0) {
|
2017-02-19 16:41:38 +00:00
|
|
|
utf16_to_utf8 utf8_message;
|
2016-03-03 01:35:34 +00:00
|
|
|
if (utf8_message.convert(system_message) == ERROR_SUCCESS) {
|
2019-07-03 16:52:09 +00:00
|
|
|
internal::writer w(out);
|
2017-02-17 14:38:53 +00:00
|
|
|
w.write(message);
|
|
|
|
w.write(": ");
|
|
|
|
w.write(utf8_message);
|
2016-03-03 01:35:34 +00:00
|
|
|
return;
|
|
|
|
}
|
|
|
|
break;
|
2014-09-03 15:03:05 +00:00
|
|
|
}
|
2016-03-03 01:35:34 +00:00
|
|
|
if (GetLastError() != ERROR_INSUFFICIENT_BUFFER)
|
|
|
|
break; // Can't get error message, report error code instead.
|
2018-01-06 17:09:50 +00:00
|
|
|
buf.resize(buf.size() * 2);
|
2014-04-30 22:00:41 +00:00
|
|
|
}
|
2019-01-13 02:27:38 +00:00
|
|
|
}
|
|
|
|
FMT_CATCH(...) {}
|
2018-01-06 17:09:50 +00:00
|
|
|
format_error_code(out, error_code, message);
|
2014-04-30 22:00:41 +00:00
|
|
|
}
|
2015-06-12 14:15:57 +00:00
|
|
|
|
|
|
|
#endif // FMT_USE_WINDOWS_H
|
|
|
|
|
2019-04-07 17:05:49 +00:00
|
|
|
FMT_FUNC void format_system_error(internal::buffer<char>& out, int error_code,
|
2019-01-13 02:27:38 +00:00
|
|
|
string_view message) FMT_NOEXCEPT {
|
2015-06-12 14:15:57 +00:00
|
|
|
FMT_TRY {
|
2017-12-26 17:00:22 +00:00
|
|
|
memory_buffer buf;
|
2018-03-04 18:33:42 +00:00
|
|
|
buf.resize(inline_buffer_size);
|
2015-06-12 14:15:57 +00:00
|
|
|
for (;;) {
|
2019-01-13 02:27:38 +00:00
|
|
|
char* system_message = &buf[0];
|
2019-06-14 20:18:00 +00:00
|
|
|
int result =
|
|
|
|
internal::safe_strerror(error_code, system_message, buf.size());
|
2015-06-12 14:15:57 +00:00
|
|
|
if (result == 0) {
|
2019-07-03 16:52:09 +00:00
|
|
|
internal::writer w(out);
|
2017-02-14 21:29:47 +00:00
|
|
|
w.write(message);
|
|
|
|
w.write(": ");
|
|
|
|
w.write(system_message);
|
2015-06-12 14:15:57 +00:00
|
|
|
return;
|
|
|
|
}
|
|
|
|
if (result != ERANGE)
|
|
|
|
break; // Can't get error message, report error code instead.
|
2017-12-26 17:00:22 +00:00
|
|
|
buf.resize(buf.size() * 2);
|
2015-06-12 14:15:57 +00:00
|
|
|
}
|
2019-01-13 02:27:38 +00:00
|
|
|
}
|
|
|
|
FMT_CATCH(...) {}
|
2018-02-02 00:49:47 +00:00
|
|
|
format_error_code(out, error_code, message);
|
2015-06-12 14:15:57 +00:00
|
|
|
}
|
2014-04-30 22:00:41 +00:00
|
|
|
|
2019-01-13 02:27:38 +00:00
|
|
|
FMT_FUNC void internal::error_handler::on_error(const char* message) {
|
2017-12-06 15:42:42 +00:00
|
|
|
FMT_THROW(format_error(message));
|
|
|
|
}
|
|
|
|
|
2019-01-13 02:27:38 +00:00
|
|
|
FMT_FUNC void report_system_error(int error_code,
|
|
|
|
fmt::string_view message) FMT_NOEXCEPT {
|
2016-07-12 13:59:35 +00:00
|
|
|
report_error(format_system_error, error_code, message);
|
2014-05-03 16:48:54 +00:00
|
|
|
}
|
|
|
|
|
2015-06-12 14:15:57 +00:00
|
|
|
#if FMT_USE_WINDOWS_H
|
2019-01-13 02:27:38 +00:00
|
|
|
FMT_FUNC void report_windows_error(int error_code,
|
|
|
|
fmt::string_view message) FMT_NOEXCEPT {
|
2016-07-12 13:59:35 +00:00
|
|
|
report_error(internal::format_windows_error, error_code, message);
|
2014-05-03 16:48:54 +00:00
|
|
|
}
|
2014-04-30 19:38:17 +00:00
|
|
|
#endif
|
2014-04-30 17:18:11 +00:00
|
|
|
|
2019-01-13 02:27:38 +00:00
|
|
|
FMT_FUNC void vprint(std::FILE* f, string_view format_str, format_args args) {
|
2017-02-18 17:13:12 +00:00
|
|
|
memory_buffer buffer;
|
2018-10-25 14:20:02 +00:00
|
|
|
internal::vformat_to(buffer, format_str,
|
2019-06-03 00:13:50 +00:00
|
|
|
basic_format_args<buffer_context<char>>(args));
|
2019-06-14 20:18:00 +00:00
|
|
|
internal::fwrite_fully(buffer.data(), 1, buffer.size(), f);
|
2014-06-29 04:56:40 +00:00
|
|
|
}
|
|
|
|
|
2019-01-13 02:27:38 +00:00
|
|
|
FMT_FUNC void vprint(std::FILE* f, wstring_view format_str, wformat_args args) {
|
2018-04-26 18:32:14 +00:00
|
|
|
wmemory_buffer buffer;
|
2018-10-25 14:20:02 +00:00
|
|
|
internal::vformat_to(buffer, format_str, args);
|
2019-07-25 02:44:29 +00:00
|
|
|
buffer.push_back(L'\0');
|
|
|
|
if (std::fputws(buffer.data(), f) == -1) {
|
|
|
|
FMT_THROW(system_error(errno, "cannot write to file"));
|
|
|
|
}
|
2018-04-26 18:32:14 +00:00
|
|
|
}
|
|
|
|
|
2017-12-03 15:32:04 +00:00
|
|
|
FMT_FUNC void vprint(string_view format_str, format_args args) {
|
2016-08-27 00:23:13 +00:00
|
|
|
vprint(stdout, format_str, args);
|
2014-09-25 14:08:25 +00:00
|
|
|
}
|
|
|
|
|
2018-04-26 18:32:14 +00:00
|
|
|
FMT_FUNC void vprint(wstring_view format_str, wformat_args args) {
|
|
|
|
vprint(stdout, format_str, args);
|
|
|
|
}
|
|
|
|
|
2018-05-12 15:33:51 +00:00
|
|
|
FMT_END_NAMESPACE
|
2016-07-12 13:59:35 +00:00
|
|
|
|
2015-11-02 11:34:46 +00:00
|
|
|
#ifdef _MSC_VER
|
2019-01-13 02:27:38 +00:00
|
|
|
# pragma warning(pop)
|
2014-03-11 18:56:24 +00:00
|
|
|
#endif
|
2018-03-21 14:50:59 +00:00
|
|
|
|
|
|
|
#endif // FMT_FORMAT_INL_H_
|