Compare commits

...
Author SHA1 Message Date
Niels Lohmann d23803fd32 Decode \u escapes with a table in the lexer
get_codepoint() read the four hex digits of a \u escape with four calls
to get(), each classified by a chain of range comparisons. For contiguous
input, get_codepoint_bulk() now decodes them with one lookup per byte
(hex_codepoint() in string_scan.hpp, after yyjson's read_hex_u16): a
256-entry table maps a byte to its value, or 0xFF for anything else, and
an invalid digit shows in the OR of the four values. It then skips the
four bytes and updates the position counters as four get() calls would.
If a digit is invalid or fewer than four bytes are left, it changes
nothing and the existing loop runs, so errors are reported with the same
message and position as before.

json::parse, best of 5 runs in separate processes (M1 Max): the escaped
twitter.json (every non-ASCII character as \u) -13.6%, all other files
within 0.3%.

Tests compare the contiguous and the streaming path (value or exception
message) for valid escapes, surrogate pairs, truncated and invalid digits
at every position, and 3,000 seeded random escapes.

Signed-off-by: Niels Lohmann <mail@nlohmann.me>
2026-09-30 20:19:12 +02:00
Niels Lohmann f1014c938a Fix CI: useless casts to std::size_t in the string-scan tests
GCC -Werror=useless-cast rejected static_cast<std::size_t>(next() % n):
on 64-bit Linux std::uint64_t and std::size_t are the same type, while
the cast is needed where std::size_t is 32 bits wide. Draw the sizes from
a 32-bit value instead, which converts to std::size_t implicitly on every
platform.

Signed-off-by: Niels Lohmann <mail@nlohmann.me>
2026-09-30 20:19:12 +02:00
Niels Lohmann e91fdad877 Find the stop byte of a string run without a byte loop
find_string_special() and find_ascii_copyable_run() test eight bytes at a
time, but located the stopping byte inside a word with a byte loop. The
lowest flagged byte of the SWAR tests is always a true hit (the borrows of
the subtractions can only flag bytes above one), so its index is now the
trailing-zero count of the mask; words are read in little-endian order on
every platform, so this does not depend on the byte order.
scalar_string_bulk_run() validates a run of multi-byte UTF-8 sequences one
after another instead of searching for the next special byte in between,
which helps text in non-Latin scripts.

The kernels serve the lexer's contiguous fast path, the serializer, and the
binary formats. New tests compare all three with byte-by-byte reference
scans on 100,000 generated buffers at three alignments; the portable
fallback of count_trailing_zeros() was checked against the builtin.

Signed-off-by: Niels Lohmann <mail@nlohmann.me>
2026-09-30 20:19:12 +02:00
Niels Lohmann 9c71689715 Convert long doubles under a multi-byte decimal point completely
The strtold fallback, which is left only for long double formats that
are not binary64 (x87, binary128), substituted the first byte of the
locale's decimal point for '.'. Under a locale whose decimal point is
longer than one byte, such as fa_IR.UTF-8 or ar_EG.UTF-8 (U+066B),
strtold stopped there and the value was truncated at the decimal point.
A longer decimal point is now put into a copy of the token.

The test "locale with a multi-byte decimal point" now compares the long
double values with those of the "C" locale; with x87 long doubles it
failed before.

Fixes #5660.

Signed-off-by: Niels Lohmann <mail@nlohmann.me>
2026-09-30 20:19:11 +02:00
Niels Lohmann 44ec53c77b Convert float and double with the library's own correctly rounded parser
float, double, and long double where it is IEEE-754 binary64 (MSVC, Apple
arm64) are now converted by the library itself, correctly rounded and
independent of the locale and of the C and C++ libraries:

- The token is split into sign, significand w (at most 19 digits), and
  decimal exponent q, using the positions of the decimal point and the
  exponent that the scanners already recorded, so no character is
  classified again.
- Clinger's fast path where w and 10^|q| are exact.
- Eisel-Lemire otherwise, now templated for binary32 and binary64.
- For tokens with more than 19 digits whose w and w + 1 round differently,
  an exact big-integer comparison with the midpoint between the two
  candidates (the digit comparison of fast_float, simplified).

This replaces the separate token walks of Clinger's fast path and of
Eisel-Lemire, the significant-digit gate that avoided the former, and, for
float and double, std::from_chars and the locale-aware strtod. std::from_chars
and strtold remain only for other long double formats (x87, binary128,
double-double) and for types that are not IEEE-754. Values are bit-identical
to before wherever the previous conversion was correctly rounded; tokens
converted in a locale with a multi-byte decimal point are now also exact.
Overflow still gives out_of_range.406, underflow a signed zero.

convert_float() is the entry point for other parsers of JSON text: it
converts like the lexer, without allocation for binary32/binary64.

Tests: exact-bit tests for double and float (ties, subnormal and overflow
boundaries, huge exponents, more digits than any midpoint), Eisel-Lemire for
binary32, the round trips of 200,000 doubles and 100,000 floats without
declines, 508 generated hard cases with the expected bits of both formats
(float_hard_cases.hpp) through the converter and both scanners, and
JSON-level overflow/underflow checks for double and float. The locale tests
now check the values in a locale with a multi-byte decimal point.

Docs: the statements that parsing uses strtod/strtof/strtold; the fast_float
credit now names the digit comparison.

Signed-off-by: Niels Lohmann <mail@nlohmann.me>
2026-09-30 20:19:11 +02:00
13 changed files with 2923 additions and 976 deletions
+1 -1
View File
@@ -1395,7 +1395,7 @@ THE SOFTWARE IS PROVIDED “AS IS”, WITHOUT WARRANTY OF ANY KIND, EXPRESS OR I
- The class contains a slightly modified version of the Grisu2 algorithm from Florian Loitsch which is licensed under the [MIT License](https://opensource.org/licenses/MIT) (see above). Copyright &copy; 2009 [Florian Loitsch](https://florian.loitsch.com/)
- The class contains a copy of [Hedley](https://nemequ.github.io/hedley/) from Evan Nemerson which is licensed as [CC0-1.0](https://creativecommons.org/publicdomain/zero/1.0/).
- The class contains parts of [Google Abseil](https://github.com/abseil/abseil-cpp) which is licensed under the [Apache 2.0 License](https://opensource.org/licenses/Apache-2.0).
- The class contains an adapted version of the Eisel-Lemire algorithm and its table of powers of five from [fast_float](https://github.com/fastfloat/fast_float) by Daniel Lemire and contributors, which is available under the [MIT License](https://opensource.org/licenses/MIT) (used here), the Apache 2.0 License, and the Boost Software License. Copyright &copy; 2021 The fast_float authors
- The class contains an adapted version of the Eisel-Lemire algorithm, its table of powers of five, and its digit comparison for long numbers from [fast_float](https://github.com/fastfloat/fast_float) by Daniel Lemire and contributors, which is available under the [MIT License](https://opensource.org/licenses/MIT) (used here), the Apache 2.0 License, and the Boost Software License. Copyright &copy; 2021 The fast_float authors
<img align="right" src="https://git.fsfe.org/reuse/reuse-ci/raw/branch/master/reuse-horizontal.png" alt="REUSE Software">
@@ -23,9 +23,10 @@ type to use.
## Template parameters
`NumberFloatType`
: the type to store floating-point numbers. Parsing and serialization are implemented in terms of
`#!cpp std::strtof`/`#!cpp std::strtod`/`#!cpp std::strtold` and `#!cpp std::snprintf`, so the type must be
`#!cpp float`, `#!cpp double`, or `#!cpp long double`. The
: the type to store floating-point numbers. The parser converts `#!cpp float`, `#!cpp double`, and a
`#!cpp long double` that is IEEE 754 binary64 itself and other `#!cpp long double` formats with
`#!cpp std::from_chars` or `#!cpp std::strtold`, and serialization falls back to `#!cpp std::snprintf`, so the
type must be `#!cpp float`, `#!cpp double`, or `#!cpp long double`. The
[binary formats](../../features/binary_formats/index.md) additionally require `#!cpp float` or `#!cpp double`,
because they have no encoding for `#!cpp long double`. See
[Template Parameter Requirements](../../features/types/template_parameters.md#numberfloattype).
@@ -71,10 +71,11 @@ otherwise, it uses unsigned integer storage.
- Numbers with a decimal digit or scientific notation are always stored as `#!c double`.
- The number types can be changed, see [Template number types](#template-number-types).
- As of version 3.9.1, the conversion is realized by
[`std::strtoull`](https://en.cppreference.com/w/cpp/string/byte/strtoul),
[`std::strtoll`](https://en.cppreference.com/w/cpp/string/byte/strtol), and
[`std::strtod`](https://en.cppreference.com/w/cpp/string/byte/strtof), respectively.
- The library converts integers and floating-point numbers itself, independent of the locale. Floating-point
numbers are correctly rounded (to nearest, ties to even). Only a `#!c long double` that is not IEEE 754 binary64
(e.g., the 80-bit x87 format) is converted with `#!cpp std::from_chars` where available, or with
[`std::strtold`](https://en.cppreference.com/w/cpp/string/byte/strtof), which gets the decimal point of the
current locale, also one longer than one byte (e.g., in `fa_IR.UTF-8`).
!!! example "Examples"
@@ -85,10 +86,10 @@ otherwise, it uses unsigned integer storage.
### Number limits
- Any 64-bit signed or unsigned integer can be stored without loss of precision.
- Numbers exceeding the limits of `#!c double` (i.e., numbers that after conversion via
[`std::strtod`](https://en.cppreference.com/w/cpp/string/byte/strtof) are not satisfying
- Numbers exceeding the limits of `#!c double` (i.e., numbers whose rounded value is not satisfying
[`std::isfinite`](https://en.cppreference.com/w/cpp/numeric/math/isfinite) such as `#!c 1E400`) will throw exception
[`json.exception.out_of_range.406`](../../home/exceptions.md#jsonexceptionout_of_range406) during parsing.
[`json.exception.out_of_range.406`](../../home/exceptions.md#jsonexceptionout_of_range406) during parsing. Numbers too
small for `#!c double` (such as `#!c 1E-400`) become zero, with the sign of the number.
- Floating-point numbers are rounded to the next number representable as `double`. For instance
`#!c 3.141592653589793238462643383279` is stored as [`0x400921fb54442d18`](https://float.exposed/0x400921fb54442d18).
This is the same behavior as the code `#!c double x = 3.141592653589793238462643383279;`.
@@ -26,8 +26,9 @@ Requirements are split into two groups:
diagnosed with dedicated error messages, and violating most of them results in a compiler error somewhere inside
the library. Four violations are not caught at compile time at all:
- A [`StringType`](#stringtype) whose `data()` is not null-terminated compiles and silently misparses numbers,
because the lexer hands the buffer to `#!cpp std::strtoull`/`#!cpp std::strtoll`/`#!cpp std::strtod`.
- A [`StringType`](#stringtype) whose `data()` is not null-terminated compiles and silently misparses numbers
stored as a `#!cpp long double` that is not IEEE 754 binary64 (e.g., the 80-bit x87 format), because the lexer
hands the buffer to `#!cpp std::strtold`.
- A stateful [`AllocatorType`](#allocatortype) compiles and silently ignores its state: allocation, deallocation,
and [`get_allocator()`](../../api/basic_json/get_allocator.md) each use a different default-constructed instance.
- The two [cross-specialization conversions](#cross-specialization-conversions) below. These abort on an assertion
@@ -535,8 +536,10 @@ therefore silently changes parse results rather than raising an error. See
`NumberFloatType` must be one of `#!cpp float`, `#!cpp double`, or `#!cpp long double`:
- The [parser](../parsing/index.md) converts number literals with `#!cpp std::strtof`, `#!cpp std::strtod`, or
`#!cpp std::strtold`; the library provides overloads for exactly these three types.
- The [parser](../parsing/index.md) converts number literals to `#!cpp float`, `#!cpp double`, and a
`#!cpp long double` that is IEEE 754 binary64 itself; other `#!cpp long double` formats are converted with
`#!cpp std::from_chars` where available, or with `#!cpp std::strtold`. The library provides overloads for exactly
these three types.
- [`dump`](../../api/basic_json/dump.md) falls back to `#!cpp std::snprintf` with the `%g` and `%Lg` conversion
specifiers, for which the library likewise provides only `#!cpp double` and `#!cpp long double` overloads
(`#!cpp float` is promoted to `#!cpp double`).
+1 -1
View File
@@ -20,4 +20,4 @@ The class contains a slightly modified version of the Grisu2 algorithm from Flor
The class contains a copy of [Hedley](https://nemequ.github.io/hedley/) from Evan Nemerson which is licensed as [CC0-1.0](https://creativecommons.org/publicdomain/zero/1.0/).
The class contains an adapted version of the Eisel-Lemire algorithm and its table of powers of five from [fast_float](https://github.com/fastfloat/fast_float) by Daniel Lemire and contributors, which is available under the [MIT License](https://opensource.org/licenses/MIT) (used here), the Apache 2.0 License, and the Boost Software License. Copyright &copy; 2021 The fast_float authors
The class contains an adapted version of the Eisel-Lemire algorithm, its table of powers of five, and its digit comparison for long numbers from [fast_float](https://github.com/fastfloat/fast_float) by Daniel Lemire and contributors, which is available under the [MIT License](https://opensource.org/licenses/MIT) (used here), the Apache 2.0 License, and the Boost Software License. Copyright &copy; 2021 The fast_float authors
+26 -2
View File
@@ -39,6 +39,25 @@ inline int count_leading_zeros(std::uint64_t x) noexcept
#endif
}
/// number of trailing zero bits of x (x != 0)
inline int count_trailing_zeros(std::uint64_t x) noexcept
{
#if defined(__GNUC__) || defined(__clang__)
return __builtin_ctzll(x);
#else
int n = 0;
for (int shift = 32; shift != 0; shift >>= 1)
{
if ((x << (64 - shift)) == 0)
{
n += shift;
x >>= shift;
}
}
return n;
#endif
}
/// the 128-bit product of two 64-bit numbers
struct uint128_parts
{
@@ -68,14 +87,19 @@ inline uint128_parts full_multiplication(std::uint64_t a, std::uint64_t b) noexc
/// eight bytes as a little-endian word (compilers fold this into one load on
/// little-endian targets)
inline std::uint64_t read_eight_bytes(const char* p) noexcept
inline std::uint64_t read_eight_bytes(const unsigned char* b) noexcept
{
const auto* b = reinterpret_cast<const unsigned char*>(p); // NOLINT(cppcoreguidelines-pro-type-reinterpret-cast)
return static_cast<std::uint64_t>(b[0]) | (static_cast<std::uint64_t>(b[1]) << 8u)
| (static_cast<std::uint64_t>(b[2]) << 16u) | (static_cast<std::uint64_t>(b[3]) << 24u)
| (static_cast<std::uint64_t>(b[4]) << 32u) | (static_cast<std::uint64_t>(b[5]) << 40u)
| (static_cast<std::uint64_t>(b[6]) << 48u) | (static_cast<std::uint64_t>(b[7]) << 56u);
}
/// eight bytes as a little-endian word
inline std::uint64_t read_eight_bytes(const char* p) noexcept
{
return read_eight_bytes(reinterpret_cast<const unsigned char*>(p)); // NOLINT(cppcoreguidelines-pro-type-reinterpret-cast)
}
} // namespace detail
NLOHMANN_JSON_NAMESPACE_END
+59 -10
View File
@@ -219,6 +219,44 @@ class lexer : public lexer_base<BasicJsonType>
// scan functions
/////////////////////
/// contiguous input: try to decode the 4 hex digits following `\u`
/// directly from the input buffer via hex_codepoint(), instead of 4 calls
/// to get(). On success, advances the adapter and the position counters
/// exactly as those 4 get() calls would (a hex digit is never '\n', so
/// only the flat counters move) and leaves @a current holding the last of
/// the 4 digits, just as the last such get() would; the codepoint is
/// written to @a out. Makes no state change and returns false - for a
/// pending unget, fewer than 4 remaining bytes, or any of the 4 bytes not
/// being a hex digit - so the caller falls back unchanged to the
/// per-character loop, which then reports the same diagnostic (stopping
/// at the first invalid digit) as before this optimization.
bool get_codepoint_bulk(std::true_type /*bulk*/, int& out)
{
if (next_unget || ia.bulk_remaining() < 4)
{
return false;
}
const char_type* const raw = ia.bulk_data();
const int codepoint = hex_codepoint(reinterpret_cast<const unsigned char*>(raw));
if (codepoint < 0)
{
return false;
}
ia.bulk_skip(4);
// a hex digit is never a newline, so only the flat counters advance
position.chars_read_total += 4;
position.chars_read_current_line += 4;
current = char_traits<char_type>::to_int_type(raw[3]);
out = codepoint;
return true;
}
/// streaming input: no bulk fast path
bool get_codepoint_bulk(std::false_type /*bulk*/, int& /*out*/) const noexcept
{
return false;
}
/*!
@brief get codepoint from 4 hex characters following `\u`
@@ -238,6 +276,14 @@ class lexer : public lexer_base<BasicJsonType>
{
// this function only makes sense after reading `\u`
JSON_ASSERT(current == 'u');
// contiguous input: decode all 4 hex digits directly from the buffer
int fast_codepoint = 0;
if (get_codepoint_bulk(std::integral_constant<bool, bulk_scan> {}, fast_codepoint))
{
return fast_codepoint;
}
int codepoint = 0;
const auto factors = { 12u, 8u, 4u, 0u };
@@ -1059,9 +1105,11 @@ class lexer : public lexer_base<BasicJsonType>
token_type::parse_error otherwise
@note The scanner is independent of the current locale: token_buffer
always holds `.`. Only the std::strtod fallback of convert_number()
depends on the locale, and it looks up the decimal point right
before converting (see detail::convert_float_locale_aware()).
always holds `.`. The conversion of float and double does not use
the locale either. Only the std::strtold fallback of
convert_number() for long double formats other than binary64
depends on it, and it looks up the decimal point right before
converting (see detail::convert_float_locale_aware()).
*/
token_type scan_number() // lgtm [cpp/use-of-goto] `goto` is used in this function to implement the number-parsing state machine described above. By design, any finite input will eventually reach the "done" state or return token_type::parse_error. In each intermediate state, 1 byte of the input is appended to the token_buffer vector, and only the already initialized variables token_buffer, number_type, and error_message are manipulated.
{
@@ -1074,7 +1122,7 @@ class lexer : public lexer_base<BasicJsonType>
// offset just past the last mantissa byte in token_buffer (i.e. the
// index of 'e'/'E', or the whole token when there is no exponent).
// convert_number() uses it to count significant digits; npos means
// convert_number() uses it to split the token; npos means
// "not seen an exponent yet" and is resolved at scan_number_done
std::size_t mantissa_end = std::string::npos;
@@ -1404,8 +1452,8 @@ scan_number_done:
@param[in] mantissa_end offset just past the last mantissa byte in
token_buffer (the index of 'e'/'E', or
token_buffer.size() when there is no exponent);
used to skip Clinger's fast path when it cannot
possibly succeed - see detail::mantissa_fits_clinger()
with decimal_point_position, it locates the parts
of a float token without scanning it again
*/
token_type convert_number(token_type number_type, std::size_t mantissa_end)
{
@@ -1474,10 +1522,11 @@ scan_number_done:
}
// this code is reached if we parse a floating-point number or if an
// integer conversion above overflowed. Prefer std::from_chars
// (Eisel-Lemire, locale-independent, correctly rounded) when available;
// otherwise the exact Clinger fast path (double only); otherwise the
// locale-aware strtof/strtod/strtold.
// integer conversion above overflowed. float and double (and long
// double where it is binary64) are converted by the library itself,
// correctly rounded and independent of the locale; other long double
// formats use std::from_chars when available, otherwise the
// locale-aware strtold.
if (convert_float_fast(num_begin, num_end, decimal_point_position, mantissa_end, value_float))
{
return token_type::value_float;
File diff suppressed because it is too large Load Diff
+67 -26
View File
@@ -8,10 +8,12 @@
#pragma once
#include <array> // array
#include <cstddef> // size_t
#include <cstdint> // uint64_t
#include <cstdint> // uint64_t, uint8_t
#include <cstring> // memcpy
#include <nlohmann/detail/bit_ops.hpp>
#include <nlohmann/detail/macro_scope.hpp>
// Optional SIMD backend for bulk UTF-8 validation. This is an opt-in external
@@ -69,18 +71,12 @@ inline std::size_t find_string_special(const unsigned char* data, std::size_t n)
std::size_t i = 0;
for (; i + 8 <= n; i += 8)
{
std::uint64_t word = 0;
std::memcpy(&word, data + i, sizeof(word));
if (swar_string_special(word) != 0)
const std::uint64_t special = swar_string_special(read_eight_bytes(data + i));
if (special != 0)
{
// a special byte is in this word; locate it (endian-agnostic)
for (std::size_t j = 0; j < 8; ++j)
{
if (is_string_special(data[i + j]))
{
return i + j;
}
}
// the lowest flagged byte is the first special one: the borrows of
// the subtractions can only flag bytes above a true hit
return i + (static_cast<std::size_t>(count_trailing_zeros(special)) / 8);
}
}
for (; i < n; ++i)
@@ -114,8 +110,7 @@ inline std::size_t find_ascii_copyable_run(const unsigned char* data, std::size_
std::size_t i = 0;
for (; i + 8 <= n; i += 8)
{
std::uint64_t v = 0;
std::memcpy(&v, data + i, sizeof(v));
const std::uint64_t v = read_eight_bytes(data + i);
const std::uint64_t q = v ^ 0x2222222222222222ull; // '"' (0x22)
const std::uint64_t b = v ^ 0x5C5C5C5C5C5C5C5Cull; // '\\' (0x5C)
const std::uint64_t d = v ^ 0x7F7F7F7F7F7F7F7Full; // DEL (0x7F)
@@ -126,7 +121,9 @@ inline std::size_t find_ascii_copyable_run(const unsigned char* data, std::size_
| (v & high); // >= 0x80
if (stop != 0)
{
break;
// the lowest flagged byte is the first one to stop at (see
// find_string_special())
return i + (static_cast<std::size_t>(count_trailing_zeros(stop)) / 8);
}
}
for (; i < n; ++i)
@@ -253,13 +250,19 @@ inline std::size_t scalar_string_bulk_run(const unsigned char* data, std::size_t
{
break; // end of buffer, or a quote/escape/control byte
}
// a run of multi-byte sequences (e.g. CJK text) is validated sequence
// by sequence without searching for the next special byte in between
do
{
const std::size_t seq = validate_one_utf8(data + pos, n - pos);
if (seq == 0)
{
break; // ill-formed or truncated: let the byte path diagnose it
return pos; // ill-formed or truncated: let the byte path diagnose it
}
pos += seq;
}
while (pos < n && data[pos] >= 0x80u);
}
return pos;
}
@@ -273,8 +276,7 @@ inline std::size_t find_string_delimiter(const unsigned char* data, std::size_t
std::size_t i = 0;
for (; i + 8 <= n; i += 8)
{
std::uint64_t v = 0;
std::memcpy(&v, data + i, sizeof(v));
const std::uint64_t v = read_eight_bytes(data + i);
const std::uint64_t q = v ^ 0x2222222222222222ull;
const std::uint64_t b = v ^ 0x5C5C5C5C5C5C5C5Cull;
const std::uint64_t hit = ((q - ones) & ~q & high)
@@ -282,14 +284,8 @@ inline std::size_t find_string_delimiter(const unsigned char* data, std::size_t
| ((v - 0x2020202020202020ull) & ~v & high);
if (hit != 0)
{
for (std::size_t j = 0; j < 8; ++j)
{
const unsigned char c = data[i + j];
if (c == '\"' || c == '\\' || c < 0x20u)
{
return i + j;
}
}
// the lowest flagged byte is the first delimiter (see find_string_special())
return i + (static_cast<std::size_t>(count_trailing_zeros(hit)) / 8);
}
}
for (; i < n; ++i)
@@ -320,5 +316,50 @@ inline std::size_t string_bulk_run(const unsigned char* data, std::size_t n) noe
return scalar_string_bulk_run(data, n);
}
// Decode the 4 hex digits at [data, data+4) - the digits following a `\u`
// escape - into a codepoint 0x0000..0xFFFF via one table lookup per byte
// (after yyjson's read_hex_u16), or return -1 if any of the 4 bytes is not a
// hex digit ('0'..'9', 'A'..'F', 'a'..'f'). The caller must already have
// checked that 4 bytes are available; used by lexer::get_codepoint()'s
// contiguous fast path. On -1 it falls back to the byte-at-a-time loop, which
// stops at the first invalid digit, so the reported error and position are
// unaffected by this fast path.
inline int hex_codepoint(const unsigned char* data) noexcept
{
static const std::array<std::uint8_t, 256> hex_digit_table = // NOLINT(cppcoreguidelines-avoid-non-const-global-variables)
{
{
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // 00..0F
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // 10..1F
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // 20..2F
0x00, 0x01, 0x02, 0x03, 0x04, 0x05, 0x06, 0x07, 0x08, 0x09, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // 30..3F ('0'..'9')
0xFF, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // 40..4F ('A'..'F')
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // 50..5F
0xFF, 0x0A, 0x0B, 0x0C, 0x0D, 0x0E, 0x0F, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // 60..6F ('a'..'f')
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // 70..7F
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // 80..8F
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // 90..9F
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // A0..AF
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // B0..BF
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // C0..CF
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // D0..DF
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, // E0..EF
0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF, 0xFF // F0..FF
}
};
const std::uint8_t d0 = hex_digit_table[data[0]];
const std::uint8_t d1 = hex_digit_table[data[1]];
const std::uint8_t d2 = hex_digit_table[data[2]];
const std::uint8_t d3 = hex_digit_table[data[3]];
// every valid digit is <= 0xF; the combined OR only exceeds it if at
// least one of the four bytes was not a hex digit (looked up as 0xFF)
if ((d0 | d1 | d2 | d3) > 0x0F)
{
return -1;
}
return (d0 << 12) | (d1 << 8) | (d2 << 4) | d3;
}
} // namespace detail
NLOHMANN_JSON_NAMESPACE_END
File diff suppressed because it is too large Load Diff
+599
View File
@@ -0,0 +1,599 @@
// __ _____ _____ _____
// __| | __| | | | JSON for Modern C++ (supporting code)
// | | |__ | | | | | | version 3.12.0
// |_____|_____|_____|_|___| https://github.com/nlohmann/json
//
// SPDX-FileCopyrightText: 2013-2026 Niels Lohmann <https://nlohmann.me>
// SPDX-License-Identifier: MIT
#pragma once
#include <array> // array
#include <cstdint> // uint32_t, uint64_t
// Number tokens that are hard to round correctly, with the IEEE-754 binary64
// and binary32 bits of their correctly rounded values (ties to even; infinity
// for an overflow, a signed zero for an underflow).
//
// For doubles and floats around 0, the smallest normal number, 1, 2^24, 2^53,
// 0.1, and the largest finite number, and for random ones, the exact midpoint
// m to the next number gives: m, m with one unit more and less in the last
// digit, m with "01" and "0...01" appended, m with trailing zeros, and m cut
// after 17 to 30 digits (rounded down and up, so that the rounding is decided
// after the 19th digit), in fixed and exponent notation, 30% of them negative.
// Tokens longer than 80 characters are left out, except for four of 700 digits
// and more. Zeros, underflow, overflow, huge exponents, and integers beyond 64
// bits complete the set. Of the 508 tokens, 134 (as double) and 150 (as
// float) need the exact comparison with the midpoint (detail::digit_comparison()).
//
// The expected bits were computed with exact rational arithmetic in Python
// (fractions.Fraction) and cross-checked with Python's float(); strtod_l and
// strtof_l of Apple's libc and of glibc agree. Generated by
// compact_hard_cases.py 5 (with hard_cases.py), see the pull request that
// added this file.
namespace float_hard_cases
{
struct hard_case
{
const char* token;
std::uint64_t bits64;
std::uint32_t bits32;
};
inline const std::array<hard_case, 508>& cases()
{
static const std::array<hard_case, 508> table =
{
{
{"-2.4703282292062327e-324", 0x8000000000000000u, 0x80000000u},
{"24703282292062328e-340", 0x0000000000000001u, 0x00000000u},
{"247032822920623272e-341", 0x0000000000000000u, 0x00000000u},
{"-0.2470328229206232721e-323", 0x8000000000000001u, 0x80000000u},
{"-0.24703282292062327208e-323", 0x8000000000000000u, 0x80000000u},
{"-2.4703282292062327209e-324", 0x8000000000000001u, 0x80000000u},
{"2.47032822920623272088e-324", 0x0000000000000000u, 0x00000000u},
{"247032822920623272089e-344", 0x0000000000000001u, 0x00000000u},
{"-247032822920623272088284396434e-353", 0x8000000000000000u, 0x80000000u},
{"0.247032822920623272088284396435e-323", 0x0000000000000001u, 0x00000000u},
{"-74109846876186981e-340", 0x8000000000000001u, 0x80000000u},
{"0.74109846876186982e-323", 0x0000000000000002u, 0x00000000u},
{"-0.7410984687618698162e-323", 0x8000000000000001u, 0x80000000u},
{"-7.410984687618698163e-324", 0x8000000000000002u, 0x80000000u},
{"7.4109846876186981626e-324", 0x0000000000000001u, 0x00000000u},
{"-74109846876186981627e-343", 0x8000000000000002u, 0x80000000u},
{"-741098468761869816264e-344", 0x8000000000000001u, 0x80000000u},
{"0.741098468761869816265e-323", 0x0000000000000002u, 0x00000000u},
{"0.741098468761869816264853189302e-323", 0x0000000000000001u, 0x00000000u},
{"-7.41098468761869816264853189303e-324", 0x8000000000000002u, 0x80000000u},
{"0.22250738585072006e-307", 0x000FFFFFFFFFFFFEu, 0x00000000u},
{"2.2250738585072007e-308", 0x000FFFFFFFFFFFFFu, 0x00000000u},
{"2.225073858507200641e-308", 0x000FFFFFFFFFFFFEu, 0x00000000u},
{"-2225073858507200642e-326", 0x800FFFFFFFFFFFFFu, 0x80000000u},
{"22250738585072006419e-327", 0x000FFFFFFFFFFFFEu, 0x00000000u},
{"0.2225073858507200642e-307", 0x000FFFFFFFFFFFFFu, 0x00000000u},
{"0.222507385850720064199e-307", 0x000FFFFFFFFFFFFEu, 0x00000000u},
{"2.225073858507200642e-308", 0x000FFFFFFFFFFFFFu, 0x00000000u},
{"-2.22507385850720064199176395546e-308", 0x800FFFFFFFFFFFFEu, 0x80000000u},
{"222507385850720064199176395547e-337", 0x000FFFFFFFFFFFFFu, 0x00000000u},
{"-2.2250738585072011e-308", 0x800FFFFFFFFFFFFFu, 0x80000000u},
{"-22250738585072012e-324", 0x8010000000000000u, 0x80000000u},
{"-2225073858507201136e-326", 0x800FFFFFFFFFFFFFu, 0x80000000u},
{"0.2225073858507201137e-307", 0x0010000000000000u, 0x00000000u},
{"0.2225073858507201136e-307", 0x000FFFFFFFFFFFFFu, 0x00000000u},
{"-2.2250738585072011361e-308", 0x8010000000000000u, 0x80000000u},
{"2.22507385850720113605e-308", 0x000FFFFFFFFFFFFFu, 0x00000000u},
{"222507385850720113606e-328", 0x0010000000000000u, 0x00000000u},
{"22250738585072011360574097967e-336", 0x000FFFFFFFFFFFFFu, 0x00000000u},
{"0.222507385850720113605740979671e-307", 0x0010000000000000u, 0x00000000u},
{"22250738585072016e-324", 0x0010000000000000u, 0x00000000u},
{"0.22250738585072017e-307", 0x0010000000000001u, 0x00000000u},
{"0.222507385850720163e-307", 0x0010000000000000u, 0x00000000u},
{"2.225073858507201631e-308", 0x0010000000000001u, 0x00000000u},
{"-2.2250738585072016301e-308", 0x8010000000000000u, 0x80000000u},
{"22250738585072016302e-327", 0x0010000000000001u, 0x00000000u},
{"-222507385850720163012e-328", 0x8010000000000000u, 0x80000000u},
{"0.222507385850720163013e-307", 0x0010000000000001u, 0x00000000u},
{"0.222507385850720163012305563795e-307", 0x0010000000000000u, 0x00000000u},
{"-2.22507385850720163012305563796e-308", 0x8010000000000001u, 0x80000000u},
{"0.17976931348623156E+309", 0x7FEFFFFFFFFFFFFEu, 0x7F800000u},
{"1.7976931348623157e308", 0x7FEFFFFFFFFFFFFFu, 0x7F800000u},
{"1.797693134862315608e308", 0x7FEFFFFFFFFFFFFEu, 0x7F800000u},
{"-1797693134862315609e290", 0xFFEFFFFFFFFFFFFFu, 0xFF800000u},
{"-17976931348623156083e289", 0xFFEFFFFFFFFFFFFEu, 0xFF800000u},
{"-0.17976931348623156084E+309", 0xFFEFFFFFFFFFFFFFu, 0xFF800000u},
{"0.179769313486231560835E+309", 0x7FEFFFFFFFFFFFFEu, 0x7F800000u},
{"-1.79769313486231560836e308", 0xFFEFFFFFFFFFFFFFu, 0xFF800000u},
{"1.79769313486231560835325876058e308", 0x7FEFFFFFFFFFFFFEu, 0x7F800000u},
{"179769313486231560835325876059e279", 0x7FEFFFFFFFFFFFFFu, 0x7F800000u},
{"1.7976931348623158e308", 0x7FEFFFFFFFFFFFFFu, 0x7F800000u},
{"17976931348623159e292", 0x7FF0000000000000u, 0x7F800000u},
{"1797693134862315807e290", 0x7FEFFFFFFFFFFFFFu, 0x7F800000u},
{"0.1797693134862315808E+309", 0x7FF0000000000000u, 0x7F800000u},
{"0.17976931348623158079E+309", 0x7FEFFFFFFFFFFFFFu, 0x7F800000u},
{"-1.797693134862315808e308", 0xFFF0000000000000u, 0xFF800000u},
{"1.79769313486231580793e308", 0x7FEFFFFFFFFFFFFFu, 0x7F800000u},
{"179769313486231580794e288", 0x7FF0000000000000u, 0x7F800000u},
{"179769313486231580793728971405e279", 0x7FEFFFFFFFFFFFFFu, 0x7F800000u},
{"-0.179769313486231580793728971406E+309", 0xFFF0000000000000u, 0xFF800000u},
{"100000000000000011102230246251565404236316680908203125e-53", 0x3FF0000000000000u, 0x3F800000u},
{"-1.00000000000000011102230246251565404236316680908203126", 0xBFF0000000000001u, 0xBF800000u},
{"1.00000000000000011102230246251565404236316680908203124e0", 0x3FF0000000000000u, 0x3F800000u},
{"10000000000000001110223024625156540423631668090820312501e-55", 0x3FF0000000000001u, 0x3F800000u},
{"1.00000000000000011102230246251565404236316680908203125000000000000000000001", 0x3FF0000000000001u, 0x3F800000u},
{"10000000000000001e-16", 0x3FF0000000000000u, 0x3F800000u},
{"1.0000000000000002", 0x3FF0000000000001u, 0x3F800000u},
{"1.000000000000000111", 0x3FF0000000000000u, 0x3F800000u},
{"1.000000000000000112e0", 0x3FF0000000000001u, 0x3F800000u},
{"1.000000000000000111e0", 0x3FF0000000000000u, 0x3F800000u},
{"-10000000000000001111e-19", 0xBFF0000000000001u, 0xBF800000u},
{"-100000000000000011102e-20", 0xBFF0000000000000u, 0xBF800000u},
{"-1.00000000000000011103", 0xBFF0000000000001u, 0xBF800000u},
{"1.00000000000000011102230246251", 0x3FF0000000000000u, 0x3F800000u},
{"1.00000000000000011102230246252e0", 0x3FF0000000000001u, 0x3F800000u},
{"-0.999999999999999944488848768742172978818416595458984375", 0xBFF0000000000000u, 0xBF800000u},
{"-9.99999999999999944488848768742172978818416595458984376e-1", 0xBFF0000000000000u, 0xBF800000u},
{"999999999999999944488848768742172978818416595458984374e-54", 0x3FEFFFFFFFFFFFFFu, 0x3F800000u},
{"0.99999999999999994448884876874217297881841659545898437501", 0x3FF0000000000000u, 0x3F800000u},
{"9.99999999999999944488848768742172978818416595458984375000000000000000000001e-1", 0x3FF0000000000000u, 0x3F800000u},
{"-0.99999999999999994", 0xBFEFFFFFFFFFFFFFu, 0xBF800000u},
{"9.9999999999999995e-1", 0x3FF0000000000000u, 0x3F800000u},
{"9.999999999999999444e-1", 0x3FEFFFFFFFFFFFFFu, 0x3F800000u},
{"9999999999999999445e-19", 0x3FF0000000000000u, 0x3F800000u},
{"99999999999999994448e-20", 0x3FEFFFFFFFFFFFFFu, 0x3F800000u},
{"-0.99999999999999994449", 0xBFF0000000000000u, 0xBF800000u},
{"0.999999999999999944488", 0x3FEFFFFFFFFFFFFFu, 0x3F800000u},
{"-9.99999999999999944489e-1", 0xBFF0000000000000u, 0xBF800000u},
{"9.99999999999999944488848768742e-1", 0x3FEFFFFFFFFFFFFFu, 0x3F800000u},
{"999999999999999944488848768743e-30", 0x3FF0000000000000u, 0x3F800000u},
{"-9.007199254740993e15", 0xC340000000000000u, 0xDA000000u},
{"9007199254740994e0", 0x4340000000000001u, 0x5A000000u},
{"9007199254740992", 0x4340000000000000u, 0x5A000000u},
{"9.00719925474099301e15", 0x4340000000000001u, 0x5A000000u},
{"9007199254740993000000000000000000001e-21", 0x4340000000000001u, 0x5A000000u},
{"-9007199254740993.000000000000000000000000000000", 0xC340000000000000u, 0xDA000000u},
{"90071992547409915e-1", 0x4340000000000000u, 0x5A000000u},
{"-9007199254740991.6", 0xC340000000000000u, 0xDA000000u},
{"9.0071992547409914e15", 0x433FFFFFFFFFFFFFu, 0x5A000000u},
{"-9007199254740991501e-3", 0xC340000000000000u, 0xDA000000u},
{"9007199254740991.5000000000000000000001", 0x4340000000000000u, 0x5A000000u},
{"9.0071992547409915000000000000000000000000000000e15", 0x4340000000000000u, 0x5A000000u},
{"0.100000000000000012490009027033011079765856266021728515625", 0x3FB999999999999Au, 0x3DCCCCCDu},
{"1.00000000000000012490009027033011079765856266021728515626e-1", 0x3FB999999999999Bu, 0x3DCCCCCDu},
{"100000000000000012490009027033011079765856266021728515624e-57", 0x3FB999999999999Au, 0x3DCCCCCDu},
{"0.10000000000000001249000902703301107976585626602172851562501", 0x3FB999999999999Bu, 0x3DCCCCCDu},
{"0.10000000000000001", 0x3FB999999999999Au, 0x3DCCCCCDu},
{"1.0000000000000002e-1", 0x3FB999999999999Bu, 0x3DCCCCCDu},
{"-1.000000000000000124e-1", 0xBFB999999999999Au, 0xBDCCCCCDu},
{"1000000000000000125e-19", 0x3FB999999999999Bu, 0x3DCCCCCDu},
{"-10000000000000001249e-20", 0xBFB999999999999Au, 0xBDCCCCCDu},
{"0.1000000000000000125", 0x3FB999999999999Bu, 0x3DCCCCCDu},
{"0.10000000000000001249", 0x3FB999999999999Au, 0x3DCCCCCDu},
{"1.00000000000000012491e-1", 0x3FB999999999999Bu, 0x3DCCCCCDu},
{"1.00000000000000012490009027033e-1", 0x3FB999999999999Au, 0x3DCCCCCDu},
{"100000000000000012490009027034e-30", 0x3FB999999999999Bu, 0x3DCCCCCDu},
{"2.45134755833537796875e14", 0x42EBDE5C4164D83Au, 0x575EF2E2u},
{"-245134755833537796876e-6", 0xC2EBDE5C4164D83Au, 0xD75EF2E2u},
{"-245134755833537.796874", 0xC2EBDE5C4164D839u, 0xD75EF2E2u},
{"2.4513475583353779687501e14", 0x42EBDE5C4164D83Au, 0x575EF2E2u},
{"245134755833537796875000000000000000000001e-27", 0x42EBDE5C4164D83Au, 0x575EF2E2u},
{"245134755833537.796875000000000000000000000000000000", 0x42EBDE5C4164D83Au, 0x575EF2E2u},
{"2.4513475583353779e14", 0x42EBDE5C4164D839u, 0x575EF2E2u},
{"2451347558335378e-1", 0x42EBDE5C4164D83Au, 0x575EF2E2u},
{"2451347558335377968e-4", 0x42EBDE5C4164D839u, 0x575EF2E2u},
{"245134755833537.7969", 0x42EBDE5C4164D83Au, 0x575EF2E2u},
{"245134755833537.79687", 0x42EBDE5C4164D839u, 0x575EF2E2u},
{"2.4513475583353779688e14", 0x42EBDE5C4164D83Au, 0x575EF2E2u},
{"181510327827821147441864013671875e-23", 0x41DB0C11CB91CE38u, 0x4ED8608Eu},
{"-1815103278.27821147441864013671876", 0xC1DB0C11CB91CE38u, 0xCED8608Eu},
{"1.81510327827821147441864013671874e9", 0x41DB0C11CB91CE37u, 0x4ED8608Eu},
{"18151032782782114744186401367187501e-25", 0x41DB0C11CB91CE38u, 0x4ED8608Eu},
{"1815103278.27821147441864013671875000000000000000000001", 0x41DB0C11CB91CE38u, 0x4ED8608Eu},
{"-1.81510327827821147441864013671875000000000000000000000000000000e9", 0xC1DB0C11CB91CE38u, 0xCED8608Eu},
{"18151032782782114e-7", 0x41DB0C11CB91CE37u, 0x4ED8608Eu},
{"1815103278.2782115", 0x41DB0C11CB91CE38u, 0x4ED8608Eu},
{"1815103278.278211474", 0x41DB0C11CB91CE37u, 0x4ED8608Eu},
{"-1.815103278278211475e9", 0xC1DB0C11CB91CE38u, 0xCED8608Eu},
{"1.8151032782782114744e9", 0x41DB0C11CB91CE37u, 0x4ED8608Eu},
{"-18151032782782114745e-10", 0xC1DB0C11CB91CE38u, 0xCED8608Eu},
{"181510327827821147441e-11", 0x41DB0C11CB91CE37u, 0x4ED8608Eu},
{"1815103278.27821147442", 0x41DB0C11CB91CE38u, 0x4ED8608Eu},
{"1815103278.27821147441864013671", 0x41DB0C11CB91CE37u, 0x4ED8608Eu},
{"1.81510327827821147441864013672e9", 0x41DB0C11CB91CE38u, 0x4ED8608Eu},
{"3809325632181785344", 0x43CA6EB8BD69FE2Au, 0x5E5375C6u},
{"3.809325632181785345e18", 0x43CA6EB8BD69FE2Au, 0x5E5375C6u},
{"3809325632181785343e0", 0x43CA6EB8BD69FE29u, 0x5E5375C6u},
{"3809325632181785344.01", 0x43CA6EB8BD69FE2Au, 0x5E5375C6u},
{"3.809325632181785344000000000000000000001e18", 0x43CA6EB8BD69FE2Au, 0x5E5375C6u},
{"3809325632181785344000000000000000000000000000000e-30", 0x43CA6EB8BD69FE2Au, 0x5E5375C6u},
{"3809325632181785300", 0x43CA6EB8BD69FE29u, 0x5E5375C6u},
{"3.8093256321817854e18", 0x43CA6EB8BD69FE2Au, 0x5E5375C6u},
{"4.046966549916366943359375e12", 0x428D7210076CE2F0u, 0x546B9080u},
{"4046966549916366943359376e-12", 0x428D7210076CE2F0u, 0x546B9080u},
{"4046966549916.366943359374", 0x428D7210076CE2EFu, 0x546B9080u},
{"4.04696654991636694335937501e12", 0x428D7210076CE2F0u, 0x546B9080u},
{"4046966549916366943359375000000000000000000001e-33", 0x428D7210076CE2F0u, 0x546B9080u},
{"-4046966549916.366943359375000000000000000000000000000000", 0xC28D7210076CE2F0u, 0xD46B9080u},
{"4.0469665499163669e12", 0x428D7210076CE2EFu, 0x546B9080u},
{"4046966549916367e-3", 0x428D7210076CE2F0u, 0x546B9080u},
{"4046966549916366943e-6", 0x428D7210076CE2EFu, 0x546B9080u},
{"4046966549916.366944", 0x428D7210076CE2F0u, 0x546B9080u},
{"4046966549916.3669433", 0x428D7210076CE2EFu, 0x546B9080u},
{"4.0469665499163669434e12", 0x428D7210076CE2F0u, 0x546B9080u},
{"-4.04696654991636694335e12", 0xC28D7210076CE2EFu, 0xD46B9080u},
{"404696654991636694336e-8", 0x428D7210076CE2F0u, 0x546B9080u},
{"28093802557000874e154", 0x63529C3B77330BDBu, 0x7F800000u},
{"0.28093802557000875E+171", 0x63529C3B77330BDCu, 0x7F800000u},
{"0.2809380255700087447E+171", 0x63529C3B77330BDBu, 0x7F800000u},
{"2.809380255700087448e170", 0x63529C3B77330BDCu, 0x7F800000u},
{"2.8093802557000874472e170", 0x63529C3B77330BDBu, 0x7F800000u},
{"28093802557000874473e151", 0x63529C3B77330BDCu, 0x7F800000u},
{"280938025570008744728e150", 0x63529C3B77330BDBu, 0x7F800000u},
{"-0.280938025570008744729E+171", 0xE3529C3B77330BDCu, 0xFF800000u},
{"-0.280938025570008744728403667979E+171", 0xE3529C3B77330BDBu, 0xFF800000u},
{"2.8093802557000874472840366798e170", 0x63529C3B77330BDCu, 0x7F800000u},
{"0.39523280297734525e-154", 0x1FE0F51BF17FD374u, 0x00000000u},
{"-3.9523280297734526e-155", 0x9FE0F51BF17FD375u, 0x80000000u},
{"3.952328029773452547e-155", 0x1FE0F51BF17FD374u, 0x00000000u},
{"3952328029773452548e-173", 0x1FE0F51BF17FD375u, 0x00000000u},
{"-39523280297734525478e-174", 0x9FE0F51BF17FD374u, 0x80000000u},
{"0.39523280297734525479e-154", 0x1FE0F51BF17FD375u, 0x00000000u},
{"-0.395232802977345254787e-154", 0x9FE0F51BF17FD374u, 0x80000000u},
{"-3.95232802977345254788e-155", 0x9FE0F51BF17FD375u, 0x80000000u},
{"-3.95232802977345254787245825501e-155", 0x9FE0F51BF17FD374u, 0x80000000u},
{"395232802977345254787245825502e-184", 0x1FE0F51BF17FD375u, 0x00000000u},
{"-1.0790205420931879e-276", 0x86A3209CA6233255u, 0x80000000u},
{"-1079020542093188e-291", 0x86A3209CA6233256u, 0x80000000u},
{"-1079020542093187947e-294", 0x86A3209CA6233255u, 0x80000000u},
{"0.1079020542093187948e-275", 0x06A3209CA6233256u, 0x00000000u},
{"0.1079020542093187947e-275", 0x06A3209CA6233255u, 0x00000000u},
{"1.0790205420931879471e-276", 0x06A3209CA6233256u, 0x00000000u},
{"1.07902054209318794701e-276", 0x06A3209CA6233255u, 0x00000000u},
{"-107902054209318794702e-296", 0x86A3209CA6233256u, 0x80000000u},
{"107902054209318794701153285302e-305", 0x06A3209CA6233255u, 0x00000000u},
{"-0.107902054209318794701153285303e-275", 0x86A3209CA6233256u, 0x80000000u},
{"58530471071351308e-228", 0x1413B446E6A16A3Bu, 0x00000000u},
{"-0.58530471071351309e-211", 0x9413B446E6A16A3Cu, 0x80000000u},
{"0.5853047107135130893e-211", 0x1413B446E6A16A3Bu, 0x00000000u},
{"-5.853047107135130894e-212", 0x9413B446E6A16A3Cu, 0x80000000u},
{"5.853047107135130893e-212", 0x1413B446E6A16A3Bu, 0x00000000u},
{"58530471071351308931e-231", 0x1413B446E6A16A3Cu, 0x00000000u},
{"-585304710713513089304e-232", 0x9413B446E6A16A3Bu, 0x80000000u},
{"0.585304710713513089305e-211", 0x1413B446E6A16A3Cu, 0x00000000u},
{"-0.585304710713513089304248824438e-211", 0x9413B446E6A16A3Bu, 0x80000000u},
{"5.85304710713513089304248824439e-212", 0x1413B446E6A16A3Cu, 0x00000000u},
{"0.19334214893983531e-78", 0x2F96ECBF1CFB10F6u, 0x00000000u},
{"1.9334214893983532e-79", 0x2F96ECBF1CFB10F7u, 0x00000000u},
{"1.933421489398353102e-79", 0x2F96ECBF1CFB10F6u, 0x00000000u},
{"1933421489398353103e-97", 0x2F96ECBF1CFB10F7u, 0x00000000u},
{"19334214893983531023e-98", 0x2F96ECBF1CFB10F6u, 0x00000000u},
{"0.19334214893983531024e-78", 0x2F96ECBF1CFB10F7u, 0x00000000u},
{"0.193342148939835310231e-78", 0x2F96ECBF1CFB10F6u, 0x00000000u},
{"1.93342148939835310232e-79", 0x2F96ECBF1CFB10F7u, 0x00000000u},
{"-1.93342148939835310231359014704e-79", 0xAF96ECBF1CFB10F6u, 0x80000000u},
{"193342148939835310231359014705e-108", 0x2F96ECBF1CFB10F7u, 0x00000000u},
{"2.9873358928024455e227", 0x6F2938807814E8A2u, 0x7F800000u},
{"29873358928024456e211", 0x6F2938807814E8A3u, 0x7F800000u},
{"298733589280244551e210", 0x6F2938807814E8A2u, 0x7F800000u},
{"0.2987335892802445511E+228", 0x6F2938807814E8A3u, 0x7F800000u},
{"0.29873358928024455109E+228", 0x6F2938807814E8A2u, 0x7F800000u},
{"2.987335892802445511e227", 0x6F2938807814E8A3u, 0x7F800000u},
{"-2.98733589280244551098e227", 0xEF2938807814E8A2u, 0xFF800000u},
{"-298733589280244551099e207", 0xEF2938807814E8A3u, 0xFF800000u},
{"298733589280244551098081559931e198", 0x6F2938807814E8A2u, 0x7F800000u},
{"0.298733589280244551098081559932E+228", 0x6F2938807814E8A3u, 0x7F800000u},
{"7.0064923216240853e-46", 0x3690000000000000u, 0x00000000u},
{"70064923216240854e-62", 0x3690000000000000u, 0x00000001u},
{"7006492321624085354e-64", 0x3690000000000000u, 0x00000000u},
{"-0.7006492321624085355e-45", 0xB690000000000000u, 0x80000001u},
{"0.70064923216240853546e-45", 0x3690000000000000u, 0x00000000u},
{"7.0064923216240853547e-46", 0x3690000000000000u, 0x00000001u},
{"7.00649232162408535461e-46", 0x3690000000000000u, 0x00000000u},
{"-700649232162408535462e-66", 0xB690000000000000u, 0x80000001u},
{"-700649232162408535461864791644e-75", 0xB690000000000000u, 0x80000000u},
{"0.700649232162408535461864791645e-45", 0x3690000000000000u, 0x00000001u},
{"21019476964872256e-61", 0x36A8000000000000u, 0x00000001u},
{"0.21019476964872257e-44", 0x36A8000000000000u, 0x00000002u},
{"-0.2101947696487225606e-44", 0xB6A8000000000000u, 0x80000001u},
{"-2.101947696487225607e-45", 0xB6A8000000000000u, 0x80000002u},
{"2.1019476964872256063e-45", 0x36A8000000000000u, 0x00000001u},
{"21019476964872256064e-64", 0x36A8000000000000u, 0x00000002u},
{"-210194769648722560638e-65", 0xB6A8000000000000u, 0x80000001u},
{"-0.210194769648722560639e-44", 0xB6A8000000000000u, 0x80000002u},
{"-0.210194769648722560638559437493e-44", 0xB6A8000000000000u, 0x80000001u},
{"2.10194769648722560638559437494e-45", 0x36A8000000000000u, 0x00000002u},
{"0.11754941406275178e-37", 0x380FFFFFA0000000u, 0x007FFFFEu},
{"1.1754941406275179e-38", 0x380FFFFFA0000000u, 0x007FFFFFu},
{"-1.175494140627517859e-38", 0xB80FFFFFA0000000u, 0x807FFFFEu},
{"117549414062751786e-55", 0x380FFFFFA0000000u, 0x007FFFFFu},
{"-11754941406275178592e-57", 0xB80FFFFFA0000000u, 0x807FFFFEu},
{"0.11754941406275178593e-37", 0x380FFFFFA0000000u, 0x007FFFFFu},
{"0.117549414062751785924e-37", 0x380FFFFFA0000000u, 0x007FFFFEu},
{"1.17549414062751785925e-38", 0x380FFFFFA0000000u, 0x007FFFFFu},
{"-1.17549414062751785924617589866e-38", 0xB80FFFFFA0000000u, 0x807FFFFEu},
{"117549414062751785924617589867e-67", 0x380FFFFFA0000000u, 0x007FFFFFu},
{"1.1754942807573642e-38", 0x380FFFFFDFFFFFFFu, 0x007FFFFFu},
{"11754942807573643e-54", 0x380FFFFFE0000000u, 0x00800000u},
{"1175494280757364291e-56", 0x380FFFFFE0000000u, 0x007FFFFFu},
{"0.1175494280757364292e-37", 0x380FFFFFE0000000u, 0x00800000u},
{"0.11754942807573642917e-37", 0x380FFFFFE0000000u, 0x007FFFFFu},
{"-1.1754942807573642918e-38", 0xB80FFFFFE0000000u, 0x80800000u},
{"-1.17549428075736429172e-38", 0xB80FFFFFE0000000u, 0x807FFFFFu},
{"-117549428075736429173e-58", 0xB80FFFFFE0000000u, 0x80800000u},
{"117549428075736429172788299103e-67", 0x380FFFFFE0000000u, 0x007FFFFFu},
{"0.117549428075736429172788299104e-37", 0x380FFFFFE0000000u, 0x00800000u},
{"11754944208872107e-54", 0x3810000010000000u, 0x00800000u},
{"-0.11754944208872108e-37", 0xB810000010000000u, 0x80800001u},
{"0.1175494420887210724e-37", 0x3810000010000000u, 0x00800000u},
{"1.175494420887210725e-38", 0x3810000010000000u, 0x00800001u},
{"1.1754944208872107242e-38", 0x3810000010000000u, 0x00800000u},
{"-11754944208872107243e-57", 0xB810000010000000u, 0x80800001u},
{"-11754944208872107242e-57", 0xB810000010000000u, 0x80800000u},
{"0.117549442088721072421e-37", 0x3810000010000000u, 0x00800001u},
{"0.11754944208872107242095900834e-37", 0x3810000010000000u, 0x00800000u},
{"-1.17549442088721072420959008341e-38", 0xB810000010000000u, 0x80800001u},
{"340282336497324057985868971510891282432", 0x47EFFFFFD0000000u, 0x7F7FFFFEu},
{"-3.40282336497324057985868971510891282433e38", 0xC7EFFFFFD0000000u, 0xFF7FFFFFu},
{"340282336497324057985868971510891282431e0", 0x47EFFFFFD0000000u, 0x7F7FFFFEu},
{"340282336497324057985868971510891282432.01", 0x47EFFFFFD0000000u, 0x7F7FFFFFu},
{"3.40282336497324057985868971510891282432000000000000000000001e38", 0x47EFFFFFD0000000u, 0x7F7FFFFFu},
{"340282336497324057985868971510891282432000000000000000000000000000000e-30", 0x47EFFFFFD0000000u, 0x7F7FFFFEu},
{"340282336497324050000000000000000000000", 0x47EFFFFFD0000000u, 0x7F7FFFFEu},
{"3.4028233649732406e38", 0x47EFFFFFD0000000u, 0x7F7FFFFFu},
{"3.402823364973240579e38", 0x47EFFFFFD0000000u, 0x7F7FFFFEu},
{"340282336497324058e21", 0x47EFFFFFD0000000u, 0x7F7FFFFFu},
{"34028233649732405798e19", 0x47EFFFFFD0000000u, 0x7F7FFFFEu},
{"340282336497324057990000000000000000000", 0x47EFFFFFD0000000u, 0x7F7FFFFFu},
{"340282336497324057985000000000000000000", 0x47EFFFFFD0000000u, 0x7F7FFFFEu},
{"3.40282336497324057986e38", 0x47EFFFFFD0000000u, 0x7F7FFFFFu},
{"3.4028233649732405798586897151e38", 0x47EFFFFFD0000000u, 0x7F7FFFFEu},
{"340282336497324057985868971511e9", 0x47EFFFFFD0000000u, 0x7F7FFFFFu},
{"3.40282356779733661637539395458142568448e38", 0x47EFFFFFF0000000u, 0x7F800000u},
{"-340282356779733661637539395458142568449e0", 0xC7EFFFFFF0000000u, 0xFF800000u},
{"340282356779733661637539395458142568447", 0x47EFFFFFF0000000u, 0x7F7FFFFFu},
{"3.4028235677973366163753939545814256844801e38", 0x47EFFFFFF0000000u, 0x7F800000u},
{"340282356779733661637539395458142568448000000000000000000001e-21", 0x47EFFFFFF0000000u, 0x7F800000u},
{"340282356779733661637539395458142568448.000000000000000000000000000000", 0x47EFFFFFF0000000u, 0x7F800000u},
{"3.4028235677973366e38", 0x47EFFFFFF0000000u, 0x7F7FFFFFu},
{"-34028235677973367e22", 0xC7EFFFFFF0000000u, 0xFF800000u},
{"3402823567797336616e20", 0x47EFFFFFF0000000u, 0x7F7FFFFFu},
{"340282356779733661700000000000000000000", 0x47EFFFFFF0000000u, 0x7F800000u},
{"340282356779733661630000000000000000000", 0x47EFFFFFF0000000u, 0x7F7FFFFFu},
{"3.4028235677973366164e38", 0x47EFFFFFF0000000u, 0x7F800000u},
{"3.40282356779733661637e38", 0x47EFFFFFF0000000u, 0x7F7FFFFFu},
{"340282356779733661638e18", 0x47EFFFFFF0000000u, 0x7F800000u},
{"-340282356779733661637539395458e9", 0xC7EFFFFFF0000000u, 0xFF7FFFFFu},
{"340282356779733661637539395459000000000", 0x47EFFFFFF0000000u, 0x7F800000u},
{"-1000000059604644775390625e-24", 0xBFF0000010000000u, 0xBF800000u},
{"-1.000000059604644775390626", 0xBFF0000010000000u, 0xBF800001u},
{"-1.000000059604644775390624e0", 0xBFF0000010000000u, 0xBF800000u},
{"100000005960464477539062501e-26", 0x3FF0000010000000u, 0x3F800001u},
{"1.000000059604644775390625000000000000000000001", 0x3FF0000010000000u, 0x3F800001u},
{"1.000000059604644775390625000000000000000000000000000000e0", 0x3FF0000010000000u, 0x3F800000u},
{"-10000000596046447e-16", 0xBFF0000010000000u, 0xBF800000u},
{"1.0000000596046448", 0x3FF0000010000000u, 0x3F800001u},
{"1.000000059604644775", 0x3FF0000010000000u, 0x3F800000u},
{"-1.000000059604644776e0", 0xBFF0000010000000u, 0xBF800001u},
{"-1.0000000596046447753e0", 0xBFF0000010000000u, 0xBF800000u},
{"10000000596046447754e-19", 0x3FF0000010000000u, 0x3F800001u},
{"100000005960464477539e-20", 0x3FF0000010000000u, 0x3F800000u},
{"-1.0000000596046447754", 0xBFF0000010000000u, 0xBF800001u},
{"0.9999999701976776123046875", 0x3FEFFFFFF0000000u, 0x3F800000u},
{"9.999999701976776123046876e-1", 0x3FEFFFFFF0000000u, 0x3F800000u},
{"9999999701976776123046874e-25", 0x3FEFFFFFF0000000u, 0x3F7FFFFFu},
{"0.999999970197677612304687501", 0x3FEFFFFFF0000000u, 0x3F800000u},
{"-9.999999701976776123046875000000000000000000001e-1", 0xBFEFFFFFF0000000u, 0xBF800000u},
{"-9999999701976776123046875000000000000000000000000000000e-55", 0xBFEFFFFFF0000000u, 0xBF800000u},
{"0.99999997019767761", 0x3FEFFFFFF0000000u, 0x3F7FFFFFu},
{"-9.9999997019767762e-1", 0xBFEFFFFFF0000000u, 0xBF800000u},
{"-9.999999701976776123e-1", 0xBFEFFFFFF0000000u, 0xBF7FFFFFu},
{"9999999701976776124e-19", 0x3FEFFFFFF0000000u, 0x3F800000u},
{"9999999701976776123e-19", 0x3FEFFFFFF0000000u, 0x3F7FFFFFu},
{"0.99999997019767761231", 0x3FEFFFFFF0000000u, 0x3F800000u},
{"-0.999999970197677612304", 0xBFEFFFFFF0000000u, 0xBF7FFFFFu},
{"9.99999970197677612305e-1", 0x3FEFFFFFF0000000u, 0x3F800000u},
{"-1.6777217e7", 0xC170000010000000u, 0xCB800000u},
{"16777218e0", 0x4170000020000000u, 0x4B800001u},
{"16777216", 0x4170000000000000u, 0x4B800000u},
{"-1.677721701e7", 0xC17000001028F5C3u, 0xCB800001u},
{"-16777217000000000000000000001e-21", 0xC170000010000000u, 0xCB800001u},
{"16777217.000000000000000000000000000000", 0x4170000010000000u, 0x4B800000u},
{"167772155e-1", 0x416FFFFFF0000000u, 0x4B800000u},
{"16777215.6", 0x416FFFFFF3333333u, 0x4B800000u},
{"1.67772154e7", 0x416FFFFFECCCCCCDu, 0x4B7FFFFFu},
{"16777215501e-3", 0x416FFFFFF0083127u, 0x4B800000u},
{"-16777215.5000000000000000000001", 0xC16FFFFFF0000000u, 0xCB800000u},
{"-1.67772155000000000000000000000000000000e7", 0xC16FFFFFF0000000u, 0xCB800000u},
{"0.1000000052154064178466796875", 0x3FB99999B0000000u, 0x3DCCCCCEu},
{"1.000000052154064178466796876e-1", 0x3FB99999B0000000u, 0x3DCCCCCEu},
{"-1000000052154064178466796874e-28", 0xBFB99999B0000000u, 0xBDCCCCCDu},
{"0.100000005215406417846679687501", 0x3FB99999B0000000u, 0x3DCCCCCEu},
{"1.000000052154064178466796875000000000000000000001e-1", 0x3FB99999B0000000u, 0x3DCCCCCEu},
{"-1000000052154064178466796875000000000000000000000000000000e-58", 0xBFB99999B0000000u, 0xBDCCCCCEu},
{"-0.10000000521540641", 0xBFB99999AFFFFFFFu, 0xBDCCCCCDu},
{"-1.0000000521540642e-1", 0xBFB99999B0000000u, 0xBDCCCCCEu},
{"1.000000052154064178e-1", 0x3FB99999B0000000u, 0x3DCCCCCDu},
{"-1000000052154064179e-19", 0xBFB99999B0000000u, 0xBDCCCCCEu},
{"10000000521540641784e-20", 0x3FB99999B0000000u, 0x3DCCCCCDu},
{"0.10000000521540641785", 0x3FB99999B0000000u, 0x3DCCCCCEu},
{"0.100000005215406417846", 0x3FB99999B0000000u, 0x3DCCCCCDu},
{"1.00000005215406417847e-1", 0x3FB99999B0000000u, 0x3DCCCCCEu},
{"5.429001220703125e3", 0x40B5350050000000u, 0x45A9A802u},
{"-5429001220703126e-12", 0xC0B5350050000001u, 0xC5A9A803u},
{"-5429.001220703124", 0xC0B535004FFFFFFFu, 0xC5A9A802u},
{"5.42900122070312501e3", 0x40B5350050000000u, 0x45A9A803u},
{"5429001220703125000000000000000000001e-33", 0x40B5350050000000u, 0x45A9A803u},
{"-5429.001220703125000000000000000000000000000000", 0xC0B5350050000000u, 0xC5A9A802u},
{"503719056e0", 0x41BE062490000000u, 0x4DF03124u},
{"503719057", 0x41BE062491000000u, 0x4DF03125u},
{"5.03719055e8", 0x41BE06248F000000u, 0x4DF03124u},
{"50371905601e-2", 0x41BE062490028F5Cu, 0x4DF03125u},
{"503719056.000000000000000000001", 0x41BE062490000000u, 0x4DF03125u},
{"5.03719056000000000000000000000000000000e8", 0x41BE062490000000u, 0x4DF03124u},
{"-92331620", 0xC196037990000000u, 0xCCB01BCCu},
{"9.233163e7", 0x41960379B8000000u, 0x4CB01BCEu},
{"9233161e1", 0x4196037968000000u, 0x4CB01BCBu},
{"92331620.1", 0x4196037990666666u, 0x4CB01BCDu},
{"9.233162000000000000000000001e7", 0x4196037990000000u, 0x4CB01BCDu},
{"9233162000000000000000000000000000000e-29", 0x4196037990000000u, 0x4CB01BCCu},
{"3.002458625e6", 0x4146E82D50000000u, 0x4A37416Au},
{"3002458626e-3", 0x4146E82D5020C49Cu, 0x4A37416Bu},
{"3002458.624", 0x4146E82D4FDF3B64u, 0x4A37416Au},
{"-3.00245862501e6", 0xC146E82D500053E3u, 0xCA37416Bu},
{"3002458625000000000000000000001e-24", 0x4146E82D50000000u, 0x4A37416Bu},
{"3002458.625000000000000000000000000000000", 0x4146E82D50000000u, 0x4A37416Au},
{"-1095485584696182596504479582065262592e1", 0xC7A07BA830000000u, 0xFD03DD42u},
{"10954855846961825965044795820652625930", 0x47A07BA830000000u, 0x7D03DD42u},
{"1.095485584696182596504479582065262591e37", 0x47A07BA830000000u, 0x7D03DD41u},
{"109548558469618259650447958206526259201e-1", 0x47A07BA830000000u, 0x7D03DD42u},
{"-10954855846961825965044795820652625920.00000000000000000001", 0xC7A07BA830000000u, 0xFD03DD42u},
{"1.095485584696182596504479582065262592000000000000000000000000000000e37", 0x47A07BA830000000u, 0x7D03DD42u},
{"10954855846961825e21", 0x47A07BA830000000u, 0x7D03DD41u},
{"10954855846961826000000000000000000000", 0x47A07BA830000000u, 0x7D03DD42u},
{"10954855846961825960000000000000000000", 0x47A07BA830000000u, 0x7D03DD41u},
{"1.095485584696182597e37", 0x47A07BA830000000u, 0x7D03DD42u},
{"1.0954855846961825965e37", 0x47A07BA830000000u, 0x7D03DD41u},
{"-10954855846961825966e18", 0xC7A07BA830000000u, 0xFD03DD42u},
{"10954855846961825965e18", 0x47A07BA830000000u, 0x7D03DD41u},
{"10954855846961825965100000000000000000", 0x47A07BA830000000u, 0x7D03DD42u},
{"10954855846961825965044795820600000000", 0x47A07BA830000000u, 0x7D03DD41u},
{"-1.09548558469618259650447958207e37", 0xC7A07BA830000000u, 0xFD03DD42u},
{"1.6449216019182103706535606608388384863861375606575165875256061553955078126e-21", 0x3B9F125A50000000u, 0x1CF892D3u},
{"-16449216019182103706535606608388384863861375606575165875256061553955078124e-94", 0xBB9F125A50000000u, 0x9CF892D2u},
{"-0.0000000000000000000016449216019182103", 0xBB9F125A50000000u, 0x9CF892D2u},
{"-1.6449216019182104e-21", 0xBB9F125A50000000u, 0x9CF892D3u},
{"-1.64492160191821037e-21", 0xBB9F125A50000000u, 0x9CF892D2u},
{"-1644921601918210371e-39", 0xBB9F125A50000000u, 0x9CF892D3u},
{"-16449216019182103706e-40", 0xBB9F125A50000000u, 0x9CF892D2u},
{"0.0000000000000000000016449216019182103707", 0x3B9F125A50000000u, 0x1CF892D3u},
{"0.00000000000000000000164492160191821037065", 0x3B9F125A50000000u, 0x1CF892D2u},
{"1.64492160191821037066e-21", 0x3B9F125A50000000u, 0x1CF892D3u},
{"1.64492160191821037065356066083e-21", 0x3B9F125A50000000u, 0x1CF892D2u},
{"164492160191821037065356066084e-50", 0x3B9F125A50000000u, 0x1CF892D3u},
{"6.565061509609222412109375e-1", 0x3FE5021930000000u, 0x3F2810CAu},
{"6565061509609222412109376e-25", 0x3FE5021930000000u, 0x3F2810CAu},
{"0.6565061509609222412109374", 0x3FE5021930000000u, 0x3F2810C9u},
{"6.56506150960922241210937501e-1", 0x3FE5021930000000u, 0x3F2810CAu},
{"6565061509609222412109375000000000000000000001e-46", 0x3FE5021930000000u, 0x3F2810CAu},
{"-0.6565061509609222412109375000000000000000000000000000000", 0xBFE5021930000000u, 0xBF2810CAu},
{"6.5650615096092224e-1", 0x3FE5021930000000u, 0x3F2810C9u},
{"-65650615096092225e-17", 0xBFE5021930000000u, 0xBF2810CAu},
{"6565061509609222412e-19", 0x3FE5021930000000u, 0x3F2810C9u},
{"0.6565061509609222413", 0x3FE5021930000000u, 0x3F2810CAu},
{"0.65650615096092224121", 0x3FE5021930000000u, 0x3F2810C9u},
{"6.5650615096092224122e-1", 0x3FE5021930000000u, 0x3F2810CAu},
{"-6.5650615096092224121e-1", 0xBFE5021930000000u, 0xBF2810C9u},
{"656506150960922241211e-21", 0x3FE5021930000000u, 0x3F2810CAu},
{"18014627239033005156980393746124491372029297053813934326171875e-77", 0x3CA9F63970000000u, 0x254FB1CCu},
{"0.00000000000000018014627239033005156980393746124491372029297053813934326171876", 0x3CA9F63970000000u, 0x254FB1CCu},
{"-1.8014627239033005156980393746124491372029297053813934326171874e-16", 0xBCA9F63970000000u, 0xA54FB1CBu},
{"1801462723903300515698039374612449137202929705381393432617187501e-79", 0x3CA9F63970000000u, 0x254FB1CCu},
{"18014627239033005e-32", 0x3CA9F63970000000u, 0x254FB1CBu},
{"0.00000000000000018014627239033006", 0x3CA9F63970000000u, 0x254FB1CCu},
{"0.0000000000000001801462723903300515", 0x3CA9F63970000000u, 0x254FB1CBu},
{"-1.801462723903300516e-16", 0xBCA9F63970000000u, 0xA54FB1CCu},
{"-1.8014627239033005156e-16", 0xBCA9F63970000000u, 0xA54FB1CBu},
{"18014627239033005157e-35", 0x3CA9F63970000000u, 0x254FB1CCu},
{"180146272390330051569e-36", 0x3CA9F63970000000u, 0x254FB1CBu},
{"-0.00000000000000018014627239033005157", 0xBCA9F63970000000u, 0xA54FB1CCu},
{"0.000000000000000180146272390330051569803937461", 0x3CA9F63970000000u, 0x254FB1CBu},
{"1.80146272390330051569803937462e-16", 0x3CA9F63970000000u, 0x254FB1CCu},
{"0.05534819327294826507568359375", 0x3FAC569930000000u, 0x3D62B4CAu},
{"-5.534819327294826507568359376e-2", 0xBFAC569930000000u, 0xBD62B4CAu},
{"5534819327294826507568359374e-29", 0x3FAC569930000000u, 0x3D62B4C9u},
{"-0.0553481932729482650756835937501", 0xBFAC569930000000u, 0xBD62B4CAu},
{"5.534819327294826507568359375000000000000000000001e-2", 0x3FAC569930000000u, 0x3D62B4CAu},
{"5534819327294826507568359375000000000000000000000000000000e-59", 0x3FAC569930000000u, 0x3D62B4CAu},
{"0.055348193272948265", 0x3FAC569930000000u, 0x3D62B4C9u},
{"5.5348193272948266e-2", 0x3FAC569930000000u, 0x3D62B4CAu},
{"5.534819327294826507e-2", 0x3FAC569930000000u, 0x3D62B4C9u},
{"5534819327294826508e-20", 0x3FAC569930000000u, 0x3D62B4CAu},
{"55348193272948265075e-21", 0x3FAC569930000000u, 0x3D62B4C9u},
{"-0.055348193272948265076", 0xBFAC569930000000u, 0xBD62B4CAu},
{"0.0553481932729482650756", 0x3FAC569930000000u, 0x3D62B4C9u},
{"-5.53481932729482650757e-2", 0xBFAC569930000000u, 0xBD62B4CAu},
{"5.179692133247783258005389047985340416e36", 0x478F2C9450000000u, 0x7C7964A2u},
{"5179692133247783258005389047985340417e0", 0x478F2C9450000000u, 0x7C7964A3u},
{"5179692133247783258005389047985340415", 0x478F2C9450000000u, 0x7C7964A2u},
{"-5.17969213324778325800538904798534041601e36", 0xC78F2C9450000000u, 0xFC7964A3u},
{"-5179692133247783258005389047985340416000000000000000000001e-21", 0xC78F2C9450000000u, 0xFC7964A3u},
{"-5179692133247783258005389047985340416.000000000000000000000000000000", 0xC78F2C9450000000u, 0xFC7964A2u},
{"5.1796921332477832e36", 0x478F2C9450000000u, 0x7C7964A2u},
{"51796921332477833e20", 0x478F2C9450000000u, 0x7C7964A3u},
{"-5179692133247783258e18", 0xC78F2C9450000000u, 0xFC7964A2u},
{"5179692133247783259000000000000000000", 0x478F2C9450000000u, 0x7C7964A3u},
{"5179692133247783258000000000000000000", 0x478F2C9450000000u, 0x7C7964A2u},
{"5.1796921332477832581e36", 0x478F2C9450000000u, 0x7C7964A3u},
{"-5.179692133247783258e36", 0xC78F2C9450000000u, 0xFC7964A2u},
{"-517969213324778325801e16", 0xC78F2C9450000000u, 0xFC7964A3u},
{"517969213324778325800538904798e7", 0x478F2C9450000000u, 0x7C7964A2u},
{"5179692133247783258005389047990000000", 0x478F2C9450000000u, 0x7C7964A3u},
{
"0.22250738585072011360574097967091319759348195463516456480234261097248222220210769455165295239081350"
"8791414915891303962110687008643869459464552765720740782062174337998814106326732925355228688137214901"
"2981122451451889849057222307285255133155755015914397476397983411801999323962548289017107081850690630"
"6666559949382757725720157630626906633326475653000092458883164330377797918696120494973903778297049050"
"5108060994073026293712895895000358379996720725430436028407889577179615094551674824347103070260914462"
"1572289880258182545180325707018860872113128079512233426288368622321503775666622503982534335974568884"
"4239002654981983854879482922068947216898310996983658468140228542433306603398508864458040010349339704"
"2756718644338377048603786162277173854562306587467901408672332763671875e-307", 0x0010000000000000u, 0x00000000u
},
{
"2.22507385850720113605740979670913197593481954635164564802342610972482222202107694551652952390813508"
"7914149158913039621106870086438694594645527657207407820621743379988141063267329253552286881372149012"
"9811224514518898490572223072852551331557550159143974763979834118019993239625482890171070818506906306"
"6665599493827577257201576306269066333264756530000924588831643303777979186961204949739037782970490505"
"1080609940730262937128958950003583799967207254304360284078895771796150945516748243471030702609144621"
"5722898802581825451803257070188608721131280795122334262883686223215037756666225039825343359745688844"
"2390026549819838548794829220689472168983109969836584681402285424333066033985088644580400103493397042"
"756718644338377048603786162277173854562306587467901408672332763671875000000000000000000001e-308", 0x0010000000000000u, 0x00000000u
},
{
"0.11754942807573642917278829910357665133228589927589904276829631184250030649651730385585324256680905"
"8189392089843750000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"00000000000000000000000000000000000000000000000000000000000000000e-37", 0x380FFFFFE0000000u, 0x00800000u
},
{
"1175494280757364291727882991035766513322858992758990427682963118425003064965173038558532425668090581"
"8939208984375000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"00000000000001e-751", 0x380FFFFFE0000000u, 0x00800000u
},
{"0", 0x0000000000000000u, 0x00000000u},
{"-0", 0x8000000000000000u, 0x80000000u},
{"0.0", 0x0000000000000000u, 0x00000000u},
{"-0.0", 0x8000000000000000u, 0x80000000u},
{"0e999999999999999999999", 0x0000000000000000u, 0x00000000u},
{"-0.000e-99999", 0x8000000000000000u, 0x80000000u},
{"1e-400", 0x0000000000000000u, 0x00000000u},
{"-1e-400", 0x8000000000000000u, 0x80000000u},
{"1e400", 0x7FF0000000000000u, 0x7F800000u},
{"-1e400", 0xFFF0000000000000u, 0xFF800000u},
{"1e-50", 0x358DEE7A4AD4B81Fu, 0x00000000u},
{"-1e-50", 0xB58DEE7A4AD4B81Fu, 0x80000000u},
{"1e39", 0x48078287F49C4A1Du, 0x7F800000u},
{"-1e39", 0xC8078287F49C4A1Du, 0xFF800000u},
{"1e99999999999999999999999999", 0x7FF0000000000000u, 0x7F800000u},
{"1e-99999999999999999999999999", 0x0000000000000000u, 0x00000000u},
{"1e0000000000000000000000000000000000000000308", 0x7FE1CCF385EBC8A0u, 0x7F800000u},
{"123456789012345678901234567890e-30", 0x3FBF9ADD3746F65Fu, 0x3DFCD6EAu},
{"18446744073709551615", 0x43F0000000000000u, 0x5F800000u},
{"18446744073709551616", 0x43F0000000000000u, 0x5F800000u},
{"-9223372036854775808", 0xC3E0000000000000u, 0xDF000000u},
{"-9223372036854775809", 0xC3E0000000000000u, 0xDF000000u},
}
};
return table;
}
} // namespace float_hard_cases
+554 -107
View File
@@ -13,15 +13,19 @@
using nlohmann::json;
#include <array> // array
#include <cfloat> // FLT_EVAL_METHOD
#include <cstdint> // uint32_t, uint64_t
#include <cstdio> // snprintf
#include <cstdlib> // strtod
#include <cstring> // memcpy
#include <map> // map
#include <random> // mt19937
#include <sstream> // stringstream
#include <string> // string
#include <utility> // pair
#include <vector> // vector
#include "float_hard_cases.hpp"
namespace
{
// shortcut to scan a string literal
@@ -257,7 +261,7 @@ TEST_CASE("lexer number fast path")
"123456789012345678901234567890", // huge -> float
"0.30000000000000004", "2.2250738585072014e-308", "1e308",
// high-precision / wide-exponent values that exercise the
// std::from_chars (Eisel-Lemire) path beyond the Clinger subset
// Eisel-Lemire path beyond the Clinger subset
"1.7976931348623157e308", "1.2345678901234567e-250",
"9007199254740993", "5e-324", "1e-320"
};
@@ -279,20 +283,18 @@ TEST_CASE("lexer number fast path")
}
}
SECTION("significant-digit gate for the Clinger fast path")
SECTION("significant digits around Clinger's fast path")
{
// Clinger's fast path needs a significand below 2^53, so it cannot
// succeed once the mantissa has 17 or more significant digits (the
// significand would be at least 10^16). The lexer skips the attempt
// there. That is only allowed to save work: every value must still come
// out bit-exactly, and both scanners must agree. In particular the gate
// must not fire for tokens whose leading zeros merely look like extra
// digits - "0.1234567890123456" has 16 significant digits, not 17.
// Clinger's fast path needs a significand of at most 2^53, which
// tokens with 17 or more significant digits exceed. The conversion
// splits the token at the positions the scanners recorded, so leading
// zeros must not count as digits - "0.1234567890123456" has 16
// significant digits, not 17 - and both scanners must agree.
const std::vector<std::string> numbers =
{
"1234567890123456", // 16 significant digits
"12345678901234567", // 17 -> attempt skipped
"123456789012345678", // 18 -> attempt skipped
"12345678901234567", // 17
"123456789012345678", // 18
"0.1234567890123456", // 16: the leading "0" is not significant
"0.12345678901234567", // 17
"0.00000000000000001", // 1, in a long token
@@ -663,46 +665,323 @@ TEST_CASE("lexer string fast path")
}
}
TEST_CASE("parse_float_fast declines what it cannot convert exactly")
TEST_CASE("lexer escape fast path")
{
// The lexer only hands well-formed numbers to parse_float_fast, so the
// malformed ones below can only be passed to it directly. Declining is
// always safe: the caller then falls back to a slower, exact conversion.
const auto fast = [](const std::string & s, double & out)
// json::accept() never throws, so this section stays covered without
// exceptions; it pins which of the cases below are valid/invalid and
// checks the contiguous and streaming paths agree on that classification.
SECTION("accept() parity")
{
return nlohmann::detail::parse_float_fast(s.data(), s.data() + s.size(), out);
const std::vector<std::pair<std::string, bool>> cases =
{
{"\\u0041", true}, {"\\u00e4", true}, {"\\u00E4", true},
{"\\uD83D\\uDE00", true},
{"\\u12", false}, {"\\u12G4", false}, {"\\uXYZW", false},
{"\\uD800", false}, {"\\uD800A", false}, {"\\uD800\\u0041", false},
{"\\uDC00", false}, {"\\u", false}
};
double out = 0;
#if defined(FLT_EVAL_METHOD) && FLT_EVAL_METHOD != 0
// without true double precision, the fast path declines everything
CHECK_FALSE(fast("1.5", out));
#else
CHECK(fast("1.5", out));
CHECK(out == 1.5);
CHECK(fast("+2.5e1", out));
CHECK(out == 25.0);
CHECK(fast("-25E-1", out));
CHECK(out == -2.5);
CHECK(fast("1e", out));
CHECK(out == 1.0);
for (const auto& c : cases)
{
for (const std::size_t offset :
{
std::size_t{0}, std::size_t{9}
})
{
const std::string doc = "[\"" + std::string(offset, 'a') + c.first + "\"]";
CAPTURE(doc);
CHECK(json::accept(doc) == c.second);
std::stringstream ss(doc);
CHECK(json::accept(ss) == c.second);
}
}
}
#if !defined(JSON_NOEXCEPTION)
// the full outcome of parsing @a doc: the parsed value, or the exact
// error message, so a mismatch in either is caught
const auto outcome = [](const std::string & doc, bool streaming) -> std::string
{
try
{
if (streaming)
{
std::stringstream ss(doc);
const json j = json::parse(ss);
return j.dump();
}
const json j = json::parse(doc);
return j.dump();
}
catch (const json::exception& e)
{
return {e.what()};
}
};
SECTION("contiguous vs streaming parity")
{
const std::vector<std::string> escapes =
{
"\\u0041", // "A"
"\\u00e4", // "ä" (lowercase hex)
"\\u00E4", // "ä" (uppercase hex)
"\\uD83D\\uDE00", // valid surrogate pair (an emoji)
"\\u12", // truncated: only 2 hex digits before the closing quote
"\\u12G4", // invalid hex digit at the 3rd position
"\\uXYZW", // all 4 bytes invalid
"\\uD800", // lone high surrogate, string ends right after
"\\uD800A", // high surrogate not followed by another \u escape
"\\uD800\\u0041", // high surrogate followed by \u, but not a low surrogate
"\\uDC00", // lone low surrogate
"\\u", // '\u' with nothing after (closing quote right away)
};
// once at the start of the string and once past the first 8-byte SWAR
// word of the outer string_bulk_run, so the escape is reached both
// right after the opening quote and mid-run
for (const auto& escape : escapes)
{
for (const std::size_t offset :
{
std::size_t{0}, std::size_t{9}
})
{
const std::string doc = "[\"" + std::string(offset, 'a') + escape + "\"]";
CAPTURE(doc);
CHECK(outcome(doc, false) == outcome(doc, true));
}
// the escape is the last thing before end of input: no closing
// quote at all
const std::string truncated_doc = "[\"" + escape;
CAPTURE(truncated_doc);
CHECK(outcome(truncated_doc, false) == outcome(truncated_doc, true));
}
}
SECTION("truncated \\u escape at every distance from the end of input")
{
// ia.bulk_remaining() must correctly report fewer than 4 bytes for
// every possible count of trailing hex-looking bytes (0, 1, 2, or 3)
// before end of input, so the fast path declines and the byte path
// alone reports the "must be followed by 4 hex digits" error, at the
// same position, in every case
for (const std::string& tail :
{
std::string{}, std::string("1"), std::string("12"), std::string("123")
})
{
const std::string doc = "[\"\\u" + tail;
CAPTURE(doc);
CHECK(outcome(doc, false) == outcome(doc, true));
CHECK(outcome(doc, false).find("must be followed by 4 hex digits") != std::string::npos);
}
}
SECTION("invalid hex digit at every position of the 4")
{
// the fast path must decline for *any* invalid byte among the 4, not
// just the first, and the byte path must then stop at exactly that
// position - same as it always has
for (std::size_t bad_pos = 0; bad_pos < 4; ++bad_pos)
{
std::string digits = "1234";
digits[bad_pos] = 'g'; // not a hex digit
const std::string doc = "[\"\\u" + digits + "\"]";
CAPTURE(doc);
CHECK(outcome(doc, false) == outcome(doc, true));
CHECK(outcome(doc, false).find("must be followed by 4 hex digits") != std::string::npos);
}
}
SECTION("random escapes")
{
// A seeded PRNG builds the 4 bytes following `\u` from a mix of hex
// digits and non-hex bytes, at varying distances from the start of
// the string, to compare the two scanners on many more shapes than
// are practical to enumerate by hand.
std::mt19937 gen(7654321); // NOLINT(cert-msc32-c,cert-msc51-cpp)
const std::string hex_alphabet = "0123456789AaBbCcDdEeFf";
std::uniform_int_distribution<std::size_t> pick_hex(0, hex_alphabet.size() - 1);
std::uniform_int_distribution<int> pick_byte(1, 255); // never NUL
std::uniform_int_distribution<int> pick_is_hex(0, 4); // 4-in-5 chance of a hex digit
std::uniform_int_distribution<std::size_t> pick_offset(0, 12);
std::vector<std::string> mismatches;
for (int iter = 0; iter < 3000; ++iter)
{
std::string digits;
for (int i = 0; i < 4; ++i)
{
if (pick_is_hex(gen) != 0)
{
digits += hex_alphabet[pick_hex(gen)];
}
else
{
char c = static_cast<char>(pick_byte(gen));
if (c == '"' || c == '\\')
{
// keep the string well-formed apart from the escape
// itself, so any mismatch is attributable to the \u
// handling and not to an unrelated quote/escape
c = 'z';
}
digits += c;
}
}
const std::string doc = "[\"" + std::string(pick_offset(gen), 'a') + "\\u" + digits + "\"]";
if (outcome(doc, false) != outcome(doc, true))
{
mismatches.push_back(doc);
}
}
CAPTURE(mismatches);
CHECK(mismatches.empty());
}
#endif
}
// not a number
CHECK_FALSE(fast("", out));
CHECK_FALSE(fast("-", out));
CHECK_FALSE(fast(".", out));
CHECK_FALSE(fast("1.2.3", out));
CHECK_FALSE(fast("1x", out));
CHECK_FALSE(fast("1e+", out));
CHECK_FALSE(fast("1e1x", out));
namespace
{
// the index of the decimal point (or npos) and of the end of the mantissa of a
// number token, which the lexer records while scanning it
std::pair<std::size_t, std::size_t> float_token_layout(const std::string& s)
{
std::size_t dot = std::string::npos;
std::size_t mantissa_end = s.size();
for (std::size_t i = 0; i < s.size(); ++i)
{
if (s[i] == '.')
{
dot = i;
}
else if (s[i] == 'e' || s[i] == 'E')
{
mantissa_end = i;
break;
}
}
return {dot, mantissa_end};
}
// numbers that are not represented exactly on the fast path
CHECK_FALSE(fast("12345678901234567890", out));
CHECK_FALSE(fast("1e10000", out));
CHECK_FALSE(fast("9007199254740993", out));
CHECK_FALSE(fast("1e23", out));
CHECK_FALSE(fast("1e-23", out));
template<typename FloatType>
FloatType parse_native(const std::string& s)
{
const auto layout = float_token_layout(s);
return nlohmann::detail::parse_float_native<FloatType>(s.data(), s.data() + s.size(), layout.first, layout.second);
}
std::uint64_t bits_of(double d)
{
std::uint64_t b = 0;
std::memcpy(&b, &d, sizeof(b));
return b;
}
std::uint32_t bits_of(float f)
{
std::uint32_t b = 0;
std::memcpy(&b, &f, sizeof(b));
return b;
}
std::uint64_t native_bits64(const std::string& s)
{
return bits_of(parse_native<double>(s));
}
std::uint32_t native_bits32(const std::string& s)
{
return bits_of(parse_native<float>(s));
}
} // namespace
TEST_CASE("parse_float_native rounds correctly")
{
SECTION("double")
{
CHECK(native_bits64("1.5") == 0x3FF8000000000000u);
CHECK(native_bits64("0.1") == 0x3FB999999999999Au);
CHECK(native_bits64("-0.0") == 0x8000000000000000u);
CHECK(native_bits64("0e999999999999999999999") == 0u);
// 2^53 + 1 is exactly between two doubles: ties to even, unless more digits follow
CHECK(native_bits64("9007199254740993") == 0x4340000000000000u);
CHECK(native_bits64("9007199254740993.0000000000000000001") == 0x4340000000000001u);
CHECK(native_bits64("9007199254740992.9999999999999999999") == 0x4340000000000000u);
// 1 + 2^-53 exactly (a tie), and one unit in the 55th digit around it
CHECK(native_bits64("1.00000000000000011102230246251565404236316680908203125") == 0x3FF0000000000000u);
CHECK(native_bits64("1.00000000000000011102230246251565404236316680908203126") == 0x3FF0000000000001u);
CHECK(native_bits64("1.00000000000000011102230246251565404236316680908203124") == 0x3FF0000000000000u);
// subnormal and overflow boundaries
CHECK(native_bits64("2.4703282292062327e-324") == 0u);
CHECK(native_bits64("2.4703282292062328e-324") == 1u);
CHECK(native_bits64("2.2250738585072011e-308") == 0x000FFFFFFFFFFFFFu);
CHECK(native_bits64("2.2250738585072012e-308") == 0x0010000000000000u);
CHECK(native_bits64("1.7976931348623157e308") == 0x7FEFFFFFFFFFFFFFu);
CHECK(native_bits64("1.7976931348623159e308") == 0x7FF0000000000000u);
CHECK(native_bits64("-1e400") == 0xFFF0000000000000u);
CHECK(native_bits64("-1e-400") == 0x8000000000000000u);
// exponents and zeros far beyond the range cancel out
CHECK(native_bits64("0." + std::string(1000, '0') + "1e1001") == 0x3FF0000000000000u);
CHECK(native_bits64("1" + std::string(1000, '0') + "e-1000") == 0x3FF0000000000000u);
CHECK(native_bits64("1e-99999999999999999999999") == 0u);
CHECK(native_bits64("1E+99999999999999999999999") == 0x7FF0000000000000u);
// more digits than any midpoint has (769): only whether a nonzero digit follows matters
const std::string tie = "1.00000000000000011102230246251565404236316680908203125";
CHECK(native_bits64(tie + std::string(800, '0')) == 0x3FF0000000000000u);
CHECK(native_bits64(tie + std::string(800, '0') + "1") == 0x3FF0000000000001u);
}
SECTION("float")
{
CHECK(native_bits32("1.5") == 0x3FC00000u);
CHECK(native_bits32("0.1") == 0x3DCCCCCDu);
CHECK(native_bits32("-0.0") == 0x80000000u);
// 2^24 + 1 is exactly between two floats
CHECK(native_bits32("16777217") == 0x4B800000u);
CHECK(native_bits32("16777217.000000000000000000001") == 0x4B800001u);
CHECK(native_bits32("16777218.999999999999999999999") == 0x4B800001u);
CHECK(native_bits32("16777219") == 0x4B800002u);
// subnormal and overflow boundaries
CHECK(native_bits32("3.4028235677973366e38") == 0x7F7FFFFFu);
CHECK(native_bits32("3.4028235677973367e38") == 0x7F800000u);
CHECK(native_bits32("7.006492321624085e-46") == 0u);
CHECK(native_bits32("7.006492321624086e-46") == 1u);
CHECK(native_bits32("1.1754942e-38") == 0x007FFFFFu);
CHECK(native_bits32("-1.17549435e-38") == 0x80800000u);
CHECK(native_bits32("1e39") == 0x7F800000u);
CHECK(native_bits32("-1e-50") == 0x80000000u);
// not rounded through double: its double would round to another float
CHECK(native_bits32("1.00000005960464477539062500000000001") == 0x3F800001u);
CHECK(native_bits32("9007199254740993") == 0x5A000000u);
}
SECTION("the conversion shared with other parsers")
{
// convert_float() gives the lexer's results, for every type
const std::vector<std::string> tokens =
{
"0", "-0.0", "1.5", "0.1", "1e-400", "-2.5E+3", "123456789012345678901234567890",
"9007199254740993.0000000000000000001", "4.9406564584124654e-324"
};
using float_json = nlohmann::basic_json<std::map, std::vector, std::string, bool, std::int64_t, std::uint64_t, float>;
using long_double_json = nlohmann::basic_json<std::map, std::vector, std::string, bool, std::int64_t, std::uint64_t, long double>;
for (const auto& t : tokens)
{
CAPTURE(t);
const auto layout = float_token_layout(t);
const char* const first = t.data();
const char* const last = first + t.size();
const auto d = nlohmann::detail::convert_float<double>(first, last, layout.first, layout.second);
const auto f = nlohmann::detail::convert_float<float>(first, last, layout.first, layout.second);
const auto ld = nlohmann::detail::convert_float<long double>(first, last, layout.first, layout.second);
CHECK(bits_of(d) == bits_of(json::parse(t).get<double>()));
CHECK(bits_of(f) == bits_of(float_json::parse(t).get<float>()));
CHECK(ld == long_double_json::parse(t).get<long double>());
}
}
}
namespace
@@ -806,40 +1085,6 @@ std::size_t big_bit_length(const big_uint& a)
}
return n;
}
std::uint64_t bits_of(double d)
{
std::uint64_t b = 0;
std::memcpy(&b, &d, sizeof(b));
return b;
}
bool eisel_lemire(const std::string& s, double& out)
{
return nlohmann::detail::parse_float_eisel_lemire(s.data(), s.data() + s.size(), out);
}
// significant digits of a token, without trailing zeros
std::size_t significant_digits(const std::string& s)
{
std::string digits;
for (const char c : s)
{
if (c == 'e' || c == 'E')
{
break;
}
if (c >= '0' && c <= '9' && !(digits.empty() && c == '0'))
{
digits += c;
}
}
while (!digits.empty() && digits.back() == '0')
{
digits.pop_back();
}
return digits.size();
}
} // namespace
TEST_CASE("Eisel-Lemire float conversion")
@@ -1237,26 +1482,33 @@ TEST_CASE("Eisel-Lemire float conversion")
for (const auto& c : known)
{
CAPTURE(c.first);
double out = 0;
if (eisel_lemire(c.first, out))
CHECK(native_bits64(c.first) == c.second);
}
}
SECTION("binary32")
{
CHECK(bits_of(out) == c.second);
}
else
{
// only tokens with more than 19 significant digits are left to
// strtod: those whose value lies too close to a tie
CHECK(significant_digits(c.first) > 19);
}
}
using binary32 = nlohmann::detail::ieee_binary_format<24>;
CHECK(nlohmann::detail::eisel_lemire<binary32>(0, 1) == 0x3F800000u);
CHECK(nlohmann::detail::eisel_lemire<binary32>(-1, 1) == 0x3DCCCCCDu);
CHECK(nlohmann::detail::eisel_lemire<binary32>(-1, 15) == 0x3FC00000u);
CHECK(nlohmann::detail::eisel_lemire<binary32>(0, 16777217) == 0x4B800000u); // tie, to even
CHECK(nlohmann::detail::eisel_lemire<binary32>(0, 16777219) == 0x4B800002u); // tie, to even
CHECK(nlohmann::detail::eisel_lemire<binary32>(-45, 1) == 0x00000001u);
CHECK(nlohmann::detail::eisel_lemire<binary32>(-46, 7) == 0x00000000u);
CHECK(nlohmann::detail::eisel_lemire<binary32>(-46, 8) == 0x00000001u);
CHECK(nlohmann::detail::eisel_lemire<binary32>(-65, 9999999999999999999u) == 0x00000000u);
CHECK(nlohmann::detail::eisel_lemire<binary32>(20, 3402823466385288598u) == 0x7F7FFFFFu);
CHECK(nlohmann::detail::eisel_lemire<binary32>(20, 3402823669209384635u) == 0x7F800000u);
CHECK(nlohmann::detail::eisel_lemire<binary32>(39, 1) == 0x7F800000u);
CHECK(nlohmann::detail::eisel_lemire<binary32>(-5, 0) == 0x00000000u);
}
SECTION("round trip")
{
// every double written by to_chars and read back, also with trailing
// digits that make the token longer than 19 digits
// every double written by to_chars and read back, and its 17-digit
// form with trailing digits that make the token longer than 19 digits
std::uint64_t state = 5295;
std::size_t declined = 0;
for (int i = 0; i < 200000; ++i)
{
state ^= state << 13u;
@@ -1278,30 +1530,51 @@ TEST_CASE("Eisel-Lemire float conversion")
const char* end = nlohmann::detail::to_chars(buffer.data(), buffer.data() + buffer.size(), d);
const std::string token(buffer.data(), static_cast<std::size_t>(end - buffer.data()));
CAPTURE(token);
double out = 0;
REQUIRE(eisel_lemire(token, out));
CHECK(bits_of(out) == b);
CHECK(native_bits64(token) == b);
// insert digits before the exponent: the value moves by far less
// than the distance to the rounding boundary, so it must not change
std::string longer = token;
// insert digits before the exponent of the 17-digit form: that
// form lies strictly inside the rounding interval of the double
// (the shortest one may lie on its boundary), and the digits move
// it by far less than the distance to the boundary, so the value
// must not change
std::array<char, 64> digits17{};
static_cast<void>(std::snprintf(digits17.data(), digits17.size(), "%.17g", d)); // NOLINT(cppcoreguidelines-pro-type-vararg,hicpp-vararg)
std::string longer = digits17.data();
const std::size_t e = longer.find('e');
const std::size_t dot = longer.find('.');
const std::string extra = dot == std::string::npos ? ".000000000000000000001" : "000000000000000000001";
longer.insert(e == std::string::npos ? longer.size() : e, extra);
CAPTURE(longer);
if (eisel_lemire(longer, out))
CHECK(native_bits64(longer) == b);
}
}
SECTION("round trip, binary32")
{
CHECK(bits_of(out) == b);
}
else
std::uint32_t state = 5295;
for (int i = 0; i < 100000; ++i)
{
// w and w + 1 round differently: only when the value is very
// close to a rounding boundary
++declined;
state ^= state << 13u;
state ^= state >> 17u;
state ^= state << 5u;
std::uint32_t b = state;
if ((b & 0x7F800000u) == 0x7F800000u)
{
continue; // infinity or NaN
}
if (i % 4 == 0)
{
b &= 0x807FFFFFu; // subnormals
}
float f = 0;
std::memcpy(&f, &b, sizeof(f));
std::array<char, 64> buffer{};
const char* end = nlohmann::detail::to_chars(buffer.data(), buffer.data() + buffer.size(), f);
const std::string token(buffer.data(), static_cast<std::size_t>(end - buffer.data()));
CAPTURE(token);
CHECK(native_bits32(token) == b);
}
CHECK(declined < 1000); // 107 of the 200,000
}
SECTION("used by the lexer")
@@ -1315,3 +1588,177 @@ TEST_CASE("Eisel-Lemire float conversion")
"[json.exception.out_of_range.406] number overflow parsing '1.7976931348623159e308'", json::out_of_range&);
}
}
namespace
{
using float_json = nlohmann::basic_json<std::map, std::vector, std::string, bool, std::int64_t, std::uint64_t, float>;
// the bits of the float that parse() gives for a token, via both scanners;
// the value must be the same for both
template<typename Json, typename Bits>
void check_parse(const std::string& token, Bits expected, Bits infinity)
{
std::stringstream stream(token);
if ((expected & ~(Bits{1} << (8 * sizeof(Bits) - 1))) == infinity)
{
Json _;
CHECK_THROWS_WITH_AS(_ = Json::parse(token), ("[json.exception.out_of_range.406] number overflow parsing '" + token + "'").c_str(), typename Json::out_of_range&);
CHECK_THROWS_WITH_AS(_ = Json::parse(stream), ("[json.exception.out_of_range.406] number overflow parsing '" + token + "'").c_str(), typename Json::out_of_range&);
return;
}
const Json contiguous = Json::parse(token);
const Json streamed = Json::parse(stream);
if (contiguous.is_number_float()) // not an integer that fits
{
CHECK(bits_of(contiguous.template get<typename Json::number_float_t>()) == expected);
CHECK(bits_of(streamed.template get<typename Json::number_float_t>()) == expected);
}
else
{
CHECK(streamed.is_number_integer());
}
}
} // namespace
TEST_CASE("float conversion of hard cases")
{
// see float_hard_cases.hpp
for (const auto& c : float_hard_cases::cases())
{
const std::string token = c.token;
CAPTURE(token);
CHECK(native_bits64(token) == c.bits64);
CHECK(native_bits32(token) == c.bits32);
check_parse<json>(token, c.bits64, std::uint64_t{0x7FF0000000000000u});
check_parse<float_json>(token, c.bits32, std::uint32_t{0x7F800000u});
}
}
TEST_CASE("float overflow and underflow in the parser")
{
SECTION("double")
{
check_parse<json>("1.7976931348623157e308", std::uint64_t{0x7FEFFFFFFFFFFFFFu}, std::uint64_t{0x7FF0000000000000u});
check_parse<json>("1.7976931348623159e308", std::uint64_t{0x7FF0000000000000u}, std::uint64_t{0x7FF0000000000000u});
check_parse<json>("-1e309", std::uint64_t{0xFFF0000000000000u}, std::uint64_t{0x7FF0000000000000u});
check_parse<json>("1" + std::string(400, '0'), std::uint64_t{0x7FF0000000000000u}, std::uint64_t{0x7FF0000000000000u});
check_parse<json>("1e99999999999999999999", std::uint64_t{0x7FF0000000000000u}, std::uint64_t{0x7FF0000000000000u});
// an underflow gives a zero with the sign of the token
check_parse<json>("1e-400", std::uint64_t{0}, std::uint64_t{0x7FF0000000000000u});
check_parse<json>("-1e-400", std::uint64_t{0x8000000000000000u}, std::uint64_t{0x7FF0000000000000u});
check_parse<json>("-2.4703282292062327e-324", std::uint64_t{0x8000000000000000u}, std::uint64_t{0x7FF0000000000000u});
check_parse<json>("0." + std::string(400, '0') + "1", std::uint64_t{0}, std::uint64_t{0x7FF0000000000000u});
}
SECTION("float")
{
check_parse<float_json>("3.4028234e38", std::uint32_t{0x7F7FFFFFu}, std::uint32_t{0x7F800000u});
check_parse<float_json>("3.4028236e38", std::uint32_t{0x7F800000u}, std::uint32_t{0x7F800000u});
check_parse<float_json>("-1e39", std::uint32_t{0xFF800000u}, std::uint32_t{0x7F800000u});
check_parse<float_json>("1e-46", std::uint32_t{0}, std::uint32_t{0x7F800000u});
check_parse<float_json>("-1e-46", std::uint32_t{0x80000000u}, std::uint32_t{0x7F800000u});
check_parse<float_json>("-7.006492321624085e-46", std::uint32_t{0x80000000u}, std::uint32_t{0x7F800000u});
check_parse<float_json>("-7.006492321624086e-46", std::uint32_t{0x80000001u}, std::uint32_t{0x7F800000u});
}
}
TEST_CASE("string scanning kernels")
{
// the word-at-a-time kernels must stop exactly where a byte-by-byte scan
// stops, for any content, length, and alignment
const auto reference_special = [](const unsigned char* data, std::size_t n)
{
std::size_t i = 0;
while (i < n && !nlohmann::detail::is_string_special(data[i]))
{
++i;
}
return i;
};
const auto reference_copyable = [](const unsigned char* data, std::size_t n)
{
std::size_t i = 0;
while (i < n && nlohmann::detail::is_ascii_copyable(data[i]))
{
++i;
}
return i;
};
const auto reference_bulk_run = [](const unsigned char* data, std::size_t n)
{
std::size_t i = 0;
while (i < n)
{
if (data[i] < 0x80u)
{
if (nlohmann::detail::is_string_special(data[i]))
{
break;
}
++i;
continue;
}
const std::size_t seq = nlohmann::detail::validate_one_utf8(data + i, n - i);
if (seq == 0)
{
break;
}
i += seq;
}
return i;
};
// pieces: ordinary ASCII, stops, DEL, well-formed sequences of every
// length, and ill-formed or truncated ones
const std::vector<std::string> pieces =
{
"a", "Z", " ", "~", "0123456789", "\"", "\\", std::string(1, '\0'), "\n", "\x1F", "\x7F",
"\xC3\xA4", "\xE2\x82\xAC", "\xE6\x97\xA5\xE6\x9C\xAC", "\xF0\x9F\x98\x80", "\xED\x9F\xBF",
"\x80", "\xC0\x80", "\xC3", "\xE2\x82", "\xED\xA0\x80", "\xF4\x90\x80\x80", "\xFF",
};
std::uint64_t state = 5295;
const auto next = [&state]()
{
state ^= state << 13u;
state ^= state >> 7u;
state ^= state << 17u;
return state;
};
// the upper half as a 32-bit value: converts to std::size_t implicitly on
// every platform (a cast of std::uint64_t is useless where both are the
// same type, and required where std::size_t is 32 bits wide)
const auto next_small = [&next]()
{
return static_cast<std::uint32_t>(next() >> 32u);
};
for (int round = 0; round < 100000; ++round)
{
// mostly ordinary text, so that runs span several words
std::string text(next_small() % 8u, '.');
const std::size_t count = next_small() % 12u;
for (std::size_t k = 0; k < count; ++k)
{
const std::size_t p = (next() % 4 == 0) ? next_small() % pieces.size() : 0;
text += pieces[p];
text += std::string(next_small() % 10u, 'x');
}
const auto* data = reinterpret_cast<const unsigned char*>(text.data()); // NOLINT(cppcoreguidelines-pro-type-reinterpret-cast)
for (std::size_t offset = 0; offset < 3 && offset <= text.size(); ++offset)
{
const std::size_t n = text.size() - offset;
CAPTURE(text);
CAPTURE(offset);
CHECK(nlohmann::detail::find_string_special(data + offset, n) == reference_special(data + offset, n));
CHECK(nlohmann::detail::find_ascii_copyable_run(data + offset, n) == reference_copyable(data + offset, n));
CHECK(nlohmann::detail::scalar_string_bulk_run(data + offset, n) == reference_bulk_run(data + offset, n));
}
}
// the trailing-zero count, whichever implementation the compiler gets
for (int k = 0; k < 64; ++k)
{
const std::uint64_t bit = std::uint64_t{1} << k;
CHECK(nlohmann::detail::count_trailing_zeros(bit) == k);
CHECK(nlohmann::detail::count_trailing_zeros(bit | (bit << 1u) | 0x8000000000000000u) == k);
}
}
+25 -8
View File
@@ -257,10 +257,11 @@ struct LocaleSwitchingSax final: public nlohmann::json_sax<json>
TEST_CASE("locale changes between lexer construction and number conversion (#5198)")
{
// The numbers are chosen so that the conversion also takes the strtod
// fallback, which honors the locale that is current at conversion time:
// too many significant digits for Clinger's fast path, an underflow that
// std::from_chars rejects, and a plain value.
// float and double are converted without the locale. A long double that
// is not binary64 can take the strtold fallback, which honors the locale
// that is current at conversion time. The numbers are chosen so that it
// does: too many significant digits for Clinger's fast path, an underflow
// that std::from_chars rejects, and a plain value.
const std::vector<std::string> numbers = {"3.14159265358979323846", "1.5e-400", "12.34", "-0.000123456789012345678"};
std::string text = "[";
for (const auto& n : numbers)
@@ -324,7 +325,8 @@ TEST_CASE("locale changes between lexer construction and number conversion (#519
}
}
// a long double goes through std::strtold unless std::from_chars supports it
// a long double goes through std::strtold unless it is binary64 or
// std::from_chars supports it
{
bool switched = false;
const auto cb = [&](int /*depth*/, long_double_json::parse_event_t event, long_double_json& /*parsed*/) noexcept
@@ -350,8 +352,15 @@ TEST_CASE("locale with a multi-byte decimal point")
{
// Some locales use a decimal point that is not a single character, e.g.
// U+066B ARABIC DECIMAL SEPARATOR (two bytes in UTF-8). It cannot be
// substituted in place for '.', so the strtod fallback stops early. The
// conversion must still terminate rather than retry forever.
// substituted in place for '.', so the strtold fallback (only for long
// double formats other than binary64) converts a copy of the token with
// the whole decimal point instead (#5660). The values must be those of the
// "C" locale.
using long_double_json = nlohmann::basic_json<std::map, std::vector, std::string, bool, std::int64_t, std::uint64_t, long double>;
const char* const long_double_numbers = "[3.14159265358979323846, 1.5e-400, -0.000123456789012345678]";
REQUIRE(std::setlocale(LC_NUMERIC, "C") != nullptr);
const long_double_json expected_long_double = long_double_json::parse(long_double_numbers);
const std::array<const char*, 6> names = {{"ar_EG.UTF-8", "ar_SA.UTF-8", "fa_IR.UTF-8", "ps_AF.UTF-8", "ar_EG", "fa_IR"}};
bool tested = false;
for (const char* name : names)
@@ -369,12 +378,20 @@ TEST_CASE("locale with a multi-byte decimal point")
tested = true;
// too many significant digits for Clinger's fast path, and an underflow
// that std::from_chars rejects: both reach the strtod fallback
// that std::from_chars rejects: double does not depend on the locale
json j;
CHECK_NOTHROW(j = json::parse("[3.14159265358979323846, 1.5e-400, -0.000123456789012345678]"));
CHECK(j.is_array());
CHECK(j[0] == 3.14159265358979323846);
CHECK(j[1] == 0.0);
CHECK(j[2] == -0.000123456789012345678);
CHECK(json::accept("3.14159265358979323846"));
// a long double that reaches the strtold fallback is not truncated
long_double_json ld;
CHECK_NOTHROW(ld = long_double_json::parse(long_double_numbers));
CHECK(ld == expected_long_double);
// a value the locale-independent paths convert is not affected
CHECK(json::parse("12.5") == 12.5);
}