Speed up the lexer: own float parser, string scan, and \u table

Give the library its own correctly rounded float converter for
binary32 and binary64 (IEEE 754), and speed up the lexer's string
and escape scanning.

The converter splits a number token into sign, significand, and
decimal exponent, then tries Clinger's fast path, then a templated
Eisel-Lemire step, and falls back to an exact big-integer digit
comparison for tokens with more than 19 significant digits whose two
candidate values round differently. This replaces std::from_chars
and strtod/strtof for both formats, so parsed values no longer
depend on the C/C++ library or the current locale. The strtold
fallback kept for other long double formats (x87, binary128) now
also copies a multi-byte decimal point correctly, fixing #5660.
eisel_lemire() and decimal_to_float() are always inlined so callers
keep the whole conversion in their hot loop.

The string-scanning kernels in string_scan.hpp find a stop byte with
the trailing-zero count of the SWAR mask instead of a byte loop, and
scalar_string_bulk_run() validates a run of multi-byte UTF-8
sequences one after another instead of re-searching after each one.

get_codepoint() decodes a contiguous \uXXXX escape with one table
lookup per byte instead of four range-checked get() calls; the
streaming path and all error positions are unchanged.

Adds 508 generated hard float-parsing cases with expected binary32
and binary64 bits, and kernel-comparison tests for the string scans
and the escape table against byte-by-byte references.

Signed-off-by: Niels Lohmann <mail@nlohmann.me>
This commit is contained in:
Niels Lohmann committed 2026-10-07 16:41:43 +02:00
1 parent 367336c83d
commit 68d61b6aef
13 files changed
+2925 -980

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// __ _____ _____ _____
// __| | __| | | | 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},
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{"-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
+553 -106
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}
};
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()};
}
};
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);
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(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);
}
CHECK(native_bits64(c.first) == c.second);
}
}
SECTION("binary32")
{
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")
{
std::uint32_t state = 5295;
for (int i = 0; i < 100000; ++i)
{
state ^= state << 13u;
state ^= state >> 17u;
state ^= state << 5u;
std::uint32_t b = state;
if ((b & 0x7F800000u) == 0x7F800000u)
{
CHECK(bits_of(out) == b);
continue; // infinity or NaN
}
else
if (i % 4 == 0)
{
// w and w + 1 round differently: only when the value is very
// close to a rounding boundary
++declined;
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
@@ -260,10 +260,11 @@ 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)
@@ -327,7 +328,8 @@ 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
@@ -353,8 +355,15 @@ 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)
@@ -372,12 +381,20 @@ 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);
}