/* fast_float_strtod.c - Fast string to double conversion
 *
 * This is a C conversion of a subset of the fast_float C++ library,
 * implementing only what Redis needs: parsing decimal floating-point strings.
 *
 * Original fast_float library:
 *   https://github.com/fastfloat/fast_float
 *   by Daniel Lemire and João Paulo Magalhaes
 *
 * MIT License
 *
 * Copyright (c) 2021 The fast_float authors
 *
 * Permission is hereby granted, free of charge, to any person obtaining a copy
 * of this software and associated documentation files (the "Software"), to deal
 * in the Software without restriction, including without limitation the rights
 * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
 * copies of the Software, and to permit persons to whom the Software is
 * furnished to do so, subject to the following conditions:
 *
 * The above copyright notice and this permission notice shall be included in all
 * copies or substantial portions of the Software.
 *
 * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
 * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
 * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
 * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
 * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
 * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
 * SOFTWARE.
 */

#include <stdint.h>
#include <stdlib.h>
#include <string.h>
#include <errno.h>
#include <math.h>
#include <float.h>

#include "fast_float_strtod.h"
#include "config.h"
#include "zmalloc.h"

/* Powers of 10 from 10^0 to 10^22 (exact in double precision).
 * These are the only powers of 10 that can be exactly represented as doubles. */
static const double powers_of_ten[] = {
    1e0,  1e1,  1e2,  1e3,  1e4,  1e5,  1e6,  1e7,  1e8,  1e9,  1e10, 1e11,
    1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22
};

/* ----------------------------------------------------------------------------
 * Eisel-Lemire algorithm — extended-precision powers of five.
 *
 * The table below maps from decimal scaling (10^q) to a 128-bit binary
 * approximation. Since 10^q = 2^q * 5^q and the 2^q factor is exact in
 * binary, only 5^q affects the binary significand — so we precompute
 * 5^q rounded toward 1 to 128 bits. Used by `compute_float()` to avoid
 * any iterative rounding in the widened (mantissa > 2^53) range.
 *
 * Pulled verbatim from fast_float by Daniel Lemire & Joao Paulo Magalhaes
 * (MIT-licensed, https://github.com/fastfloat/fast_float — fast_table.h).
 *
 * Range: 5^-342 ... 5^308 — covers every value that can produce a finite
 * non-zero double from a 64-bit decimal mantissa. 651 entries, each stored
 * as { high64, low64 } pairs (1302 uint64_t total).
 * ---------------------------------------------------------------------------- */

#define EISEL_LEMIRE_SMALLEST_POWER_OF_FIVE -342
#define EISEL_LEMIRE_LARGEST_POWER_OF_FIVE   308
#define EISEL_LEMIRE_NUMBER_OF_ENTRIES (2 * (EISEL_LEMIRE_LARGEST_POWER_OF_FIVE - \
                                             EISEL_LEMIRE_SMALLEST_POWER_OF_FIVE + 1))

static const uint64_t power_of_five_128[EISEL_LEMIRE_NUMBER_OF_ENTRIES] = {
    0xeef453d6923bd65a, 0x113faa2906a13b3f, 0x9558b4661b6565f8, 0x4ac7ca59a424c507, 0xbaaee17fa23ebf76, 0x5d79bcf00d2df649, 0xe95a99df8ace6f53, 0xf4d82c2c107973dc,
    0x91d8a02bb6c10594, 0x79071b9b8a4be869, 0xb64ec836a47146f9, 0x9748e2826cdee284, 0xe3e27a444d8d98b7, 0xfd1b1b2308169b25, 0x8e6d8c6ab0787f72, 0xfe30f0f5e50e20f7,
    0xb208ef855c969f4f, 0xbdbd2d335e51a935, 0xde8b2b66b3bc4723, 0xad2c788035e61382, 0x8b16fb203055ac76, 0x4c3bcb5021afcc31, 0xaddcb9e83c6b1793, 0xdf4abe242a1bbf3d,
    0xd953e8624b85dd78, 0xd71d6dad34a2af0d, 0x87d4713d6f33aa6b, 0x8672648c40e5ad68, 0xa9c98d8ccb009506, 0x680efdaf511f18c2, 0xd43bf0effdc0ba48, 0x212bd1b2566def2,
    0x84a57695fe98746d, 0x14bb630f7604b57, 0xa5ced43b7e3e9188, 0x419ea3bd35385e2d, 0xcf42894a5dce35ea, 0x52064cac828675b9, 0x818995ce7aa0e1b2, 0x7343efebd1940993,
    0xa1ebfb4219491a1f, 0x1014ebe6c5f90bf8, 0xca66fa129f9b60a6, 0xd41a26e077774ef6, 0xfd00b897478238d0, 0x8920b098955522b4, 0x9e20735e8cb16382, 0x55b46e5f5d5535b0,
    0xc5a890362fddbc62, 0xeb2189f734aa831d, 0xf712b443bbd52b7b, 0xa5e9ec7501d523e4, 0x9a6bb0aa55653b2d, 0x47b233c92125366e, 0xc1069cd4eabe89f8, 0x999ec0bb696e840a,
    0xf148440a256e2c76, 0xc00670ea43ca250d, 0x96cd2a865764dbca, 0x380406926a5e5728, 0xbc807527ed3e12bc, 0xc605083704f5ecf2, 0xeba09271e88d976b, 0xf7864a44c633682e,
    0x93445b8731587ea3, 0x7ab3ee6afbe0211d, 0xb8157268fdae9e4c, 0x5960ea05bad82964, 0xe61acf033d1a45df, 0x6fb92487298e33bd, 0x8fd0c16206306bab, 0xa5d3b6d479f8e056,
    0xb3c4f1ba87bc8696, 0x8f48a4899877186c, 0xe0b62e2929aba83c, 0x331acdabfe94de87, 0x8c71dcd9ba0b4925, 0x9ff0c08b7f1d0b14, 0xaf8e5410288e1b6f, 0x7ecf0ae5ee44dd9,
    0xdb71e91432b1a24a, 0xc9e82cd9f69d6150, 0x892731ac9faf056e, 0xbe311c083a225cd2, 0xab70fe17c79ac6ca, 0x6dbd630a48aaf406, 0xd64d3d9db981787d, 0x92cbbccdad5b108,
    0x85f0468293f0eb4e, 0x25bbf56008c58ea5, 0xa76c582338ed2621, 0xaf2af2b80af6f24e, 0xd1476e2c07286faa, 0x1af5af660db4aee1, 0x82cca4db847945ca, 0x50d98d9fc890ed4d,
    0xa37fce126597973c, 0xe50ff107bab528a0, 0xcc5fc196fefd7d0c, 0x1e53ed49a96272c8, 0xff77b1fcbebcdc4f, 0x25e8e89c13bb0f7a, 0x9faacf3df73609b1, 0x77b191618c54e9ac,
    0xc795830d75038c1d, 0xd59df5b9ef6a2417, 0xf97ae3d0d2446f25, 0x4b0573286b44ad1d, 0x9becce62836ac577, 0x4ee367f9430aec32, 0xc2e801fb244576d5, 0x229c41f793cda73f,
    0xf3a20279ed56d48a, 0x6b43527578c1110f, 0x9845418c345644d6, 0x830a13896b78aaa9, 0xbe5691ef416bd60c, 0x23cc986bc656d553, 0xedec366b11c6cb8f, 0x2cbfbe86b7ec8aa8,
    0x94b3a202eb1c3f39, 0x7bf7d71432f3d6a9, 0xb9e08a83a5e34f07, 0xdaf5ccd93fb0cc53, 0xe858ad248f5c22c9, 0xd1b3400f8f9cff68, 0x91376c36d99995be, 0x23100809b9c21fa1,
    0xb58547448ffffb2d, 0xabd40a0c2832a78a, 0xe2e69915b3fff9f9, 0x16c90c8f323f516c, 0x8dd01fad907ffc3b, 0xae3da7d97f6792e3, 0xb1442798f49ffb4a, 0x99cd11cfdf41779c,
    0xdd95317f31c7fa1d, 0x40405643d711d583, 0x8a7d3eef7f1cfc52, 0x482835ea666b2572, 0xad1c8eab5ee43b66, 0xda3243650005eecf, 0xd863b256369d4a40, 0x90bed43e40076a82,
    0x873e4f75e2224e68, 0x5a7744a6e804a291, 0xa90de3535aaae202, 0x711515d0a205cb36, 0xd3515c2831559a83, 0xd5a5b44ca873e03, 0x8412d9991ed58091, 0xe858790afe9486c2,
    0xa5178fff668ae0b6, 0x626e974dbe39a872, 0xce5d73ff402d98e3, 0xfb0a3d212dc8128f, 0x80fa687f881c7f8e, 0x7ce66634bc9d0b99, 0xa139029f6a239f72, 0x1c1fffc1ebc44e80,
    0xc987434744ac874e, 0xa327ffb266b56220, 0xfbe9141915d7a922, 0x4bf1ff9f0062baa8, 0x9d71ac8fada6c9b5, 0x6f773fc3603db4a9, 0xc4ce17b399107c22, 0xcb550fb4384d21d3,
    0xf6019da07f549b2b, 0x7e2a53a146606a48, 0x99c102844f94e0fb, 0x2eda7444cbfc426d, 0xc0314325637a1939, 0xfa911155fefb5308, 0xf03d93eebc589f88, 0x793555ab7eba27ca,
    0x96267c7535b763b5, 0x4bc1558b2f3458de, 0xbbb01b9283253ca2, 0x9eb1aaedfb016f16, 0xea9c227723ee8bcb, 0x465e15a979c1cadc, 0x92a1958a7675175f, 0xbfacd89ec191ec9,
    0xb749faed14125d36, 0xcef980ec671f667b, 0xe51c79a85916f484, 0x82b7e12780e7401a, 0x8f31cc0937ae58d2, 0xd1b2ecb8b0908810, 0xb2fe3f0b8599ef07, 0x861fa7e6dcb4aa15,
    0xdfbdcece67006ac9, 0x67a791e093e1d49a, 0x8bd6a141006042bd, 0xe0c8bb2c5c6d24e0, 0xaecc49914078536d, 0x58fae9f773886e18, 0xda7f5bf590966848, 0xaf39a475506a899e,
    0x888f99797a5e012d, 0x6d8406c952429603, 0xaab37fd7d8f58178, 0xc8e5087ba6d33b83, 0xd5605fcdcf32e1d6, 0xfb1e4a9a90880a64, 0x855c3be0a17fcd26, 0x5cf2eea09a55067f,
    0xa6b34ad8c9dfc06f, 0xf42faa48c0ea481e, 0xd0601d8efc57b08b, 0xf13b94daf124da26, 0x823c12795db6ce57, 0x76c53d08d6b70858, 0xa2cb1717b52481ed, 0x54768c4b0c64ca6e,
    0xcb7ddcdda26da268, 0xa9942f5dcf7dfd09, 0xfe5d54150b090b02, 0xd3f93b35435d7c4c, 0x9efa548d26e5a6e1, 0xc47bc5014a1a6daf, 0xc6b8e9b0709f109a, 0x359ab6419ca1091b,
    0xf867241c8cc6d4c0, 0xc30163d203c94b62, 0x9b407691d7fc44f8, 0x79e0de63425dcf1d, 0xc21094364dfb5636, 0x985915fc12f542e4, 0xf294b943e17a2bc4, 0x3e6f5b7b17b2939d,
    0x979cf3ca6cec5b5a, 0xa705992ceecf9c42, 0xbd8430bd08277231, 0x50c6ff782a838353, 0xece53cec4a314ebd, 0xa4f8bf5635246428, 0x940f4613ae5ed136, 0x871b7795e136be99,
    0xb913179899f68584, 0x28e2557b59846e3f, 0xe757dd7ec07426e5, 0x331aeada2fe589cf, 0x9096ea6f3848984f, 0x3ff0d2c85def7621, 0xb4bca50b065abe63, 0xfed077a756b53a9,
    0xe1ebce4dc7f16dfb, 0xd3e8495912c62894, 0x8d3360f09cf6e4bd, 0x64712dd7abbbd95c, 0xb080392cc4349dec, 0xbd8d794d96aacfb3, 0xdca04777f541c567, 0xecf0d7a0fc5583a0,
    0x89e42caaf9491b60, 0xf41686c49db57244, 0xac5d37d5b79b6239, 0x311c2875c522ced5, 0xd77485cb25823ac7, 0x7d633293366b828b, 0x86a8d39ef77164bc, 0xae5dff9c02033197,
    0xa8530886b54dbdeb, 0xd9f57f830283fdfc, 0xd267caa862a12d66, 0xd072df63c324fd7b, 0x8380dea93da4bc60, 0x4247cb9e59f71e6d, 0xa46116538d0deb78, 0x52d9be85f074e608,
    0xcd795be870516656, 0x67902e276c921f8b, 0x806bd9714632dff6, 0xba1cd8a3db53b6, 0xa086cfcd97bf97f3, 0x80e8a40eccd228a4, 0xc8a883c0fdaf7df0, 0x6122cd128006b2cd,
    0xfad2a4b13d1b5d6c, 0x796b805720085f81, 0x9cc3a6eec6311a63, 0xcbe3303674053bb0, 0xc3f490aa77bd60fc, 0xbedbfc4411068a9c, 0xf4f1b4d515acb93b, 0xee92fb5515482d44,
    0x991711052d8bf3c5, 0x751bdd152d4d1c4a, 0xbf5cd54678eef0b6, 0xd262d45a78a0635d, 0xef340a98172aace4, 0x86fb897116c87c34, 0x9580869f0e7aac0e, 0xd45d35e6ae3d4da0,
    0xbae0a846d2195712, 0x8974836059cca109, 0xe998d258869facd7, 0x2bd1a438703fc94b, 0x91ff83775423cc06, 0x7b6306a34627ddcf, 0xb67f6455292cbf08, 0x1a3bc84c17b1d542,
    0xe41f3d6a7377eeca, 0x20caba5f1d9e4a93, 0x8e938662882af53e, 0x547eb47b7282ee9c, 0xb23867fb2a35b28d, 0xe99e619a4f23aa43, 0xdec681f9f4c31f31, 0x6405fa00e2ec94d4,
    0x8b3c113c38f9f37e, 0xde83bc408dd3dd04, 0xae0b158b4738705e, 0x9624ab50b148d445, 0xd98ddaee19068c76, 0x3badd624dd9b0957, 0x87f8a8d4cfa417c9, 0xe54ca5d70a80e5d6,
    0xa9f6d30a038d1dbc, 0x5e9fcf4ccd211f4c, 0xd47487cc8470652b, 0x7647c3200069671f, 0x84c8d4dfd2c63f3b, 0x29ecd9f40041e073, 0xa5fb0a17c777cf09, 0xf468107100525890,
    0xcf79cc9db955c2cc, 0x7182148d4066eeb4, 0x81ac1fe293d599bf, 0xc6f14cd848405530, 0xa21727db38cb002f, 0xb8ada00e5a506a7c, 0xca9cf1d206fdc03b, 0xa6d90811f0e4851c,
    0xfd442e4688bd304a, 0x908f4a166d1da663, 0x9e4a9cec15763e2e, 0x9a598e4e043287fe, 0xc5dd44271ad3cdba, 0x40eff1e1853f29fd, 0xf7549530e188c128, 0xd12bee59e68ef47c,
    0x9a94dd3e8cf578b9, 0x82bb74f8301958ce, 0xc13a148e3032d6e7, 0xe36a52363c1faf01, 0xf18899b1bc3f8ca1, 0xdc44e6c3cb279ac1, 0x96f5600f15a7b7e5, 0x29ab103a5ef8c0b9,
    0xbcb2b812db11a5de, 0x7415d448f6b6f0e7, 0xebdf661791d60f56, 0x111b495b3464ad21, 0x936b9fcebb25c995, 0xcab10dd900beec34, 0xb84687c269ef3bfb, 0x3d5d514f40eea742,
    0xe65829b3046b0afa, 0xcb4a5a3112a5112, 0x8ff71a0fe2c2e6dc, 0x47f0e785eaba72ab, 0xb3f4e093db73a093, 0x59ed216765690f56, 0xe0f218b8d25088b8, 0x306869c13ec3532c,
    0x8c974f7383725573, 0x1e414218c73a13fb, 0xafbd2350644eeacf, 0xe5d1929ef90898fa, 0xdbac6c247d62a583, 0xdf45f746b74abf39, 0x894bc396ce5da772, 0x6b8bba8c328eb783,
    0xab9eb47c81f5114f, 0x66ea92f3f326564, 0xd686619ba27255a2, 0xc80a537b0efefebd, 0x8613fd0145877585, 0xbd06742ce95f5f36, 0xa798fc4196e952e7, 0x2c48113823b73704,
    0xd17f3b51fca3a7a0, 0xf75a15862ca504c5, 0x82ef85133de648c4, 0x9a984d73dbe722fb, 0xa3ab66580d5fdaf5, 0xc13e60d0d2e0ebba, 0xcc963fee10b7d1b3, 0x318df905079926a8,
    0xffbbcfe994e5c61f, 0xfdf17746497f7052, 0x9fd561f1fd0f9bd3, 0xfeb6ea8bedefa633, 0xc7caba6e7c5382c8, 0xfe64a52ee96b8fc0, 0xf9bd690a1b68637b, 0x3dfdce7aa3c673b0,
    0x9c1661a651213e2d, 0x6bea10ca65c084e, 0xc31bfa0fe5698db8, 0x486e494fcff30a62, 0xf3e2f893dec3f126, 0x5a89dba3c3efccfa, 0x986ddb5c6b3a76b7, 0xf89629465a75e01c,
    0xbe89523386091465, 0xf6bbb397f1135823, 0xee2ba6c0678b597f, 0x746aa07ded582e2c, 0x94db483840b717ef, 0xa8c2a44eb4571cdc, 0xba121a4650e4ddeb, 0x92f34d62616ce413,
    0xe896a0d7e51e1566, 0x77b020baf9c81d17, 0x915e2486ef32cd60, 0xace1474dc1d122e, 0xb5b5ada8aaff80b8, 0xd819992132456ba, 0xe3231912d5bf60e6, 0x10e1fff697ed6c69,
    0x8df5efabc5979c8f, 0xca8d3ffa1ef463c1, 0xb1736b96b6fd83b3, 0xbd308ff8a6b17cb2, 0xddd0467c64bce4a0, 0xac7cb3f6d05ddbde, 0x8aa22c0dbef60ee4, 0x6bcdf07a423aa96b,
    0xad4ab7112eb3929d, 0x86c16c98d2c953c6, 0xd89d64d57a607744, 0xe871c7bf077ba8b7, 0x87625f056c7c4a8b, 0x11471cd764ad4972, 0xa93af6c6c79b5d2d, 0xd598e40d3dd89bcf,
    0xd389b47879823479, 0x4aff1d108d4ec2c3, 0x843610cb4bf160cb, 0xcedf722a585139ba, 0xa54394fe1eedb8fe, 0xc2974eb4ee658828, 0xce947a3da6a9273e, 0x733d226229feea32,
    0x811ccc668829b887, 0x806357d5a3f525f, 0xa163ff802a3426a8, 0xca07c2dcb0cf26f7, 0xc9bcff6034c13052, 0xfc89b393dd02f0b5, 0xfc2c3f3841f17c67, 0xbbac2078d443ace2,
    0x9d9ba7832936edc0, 0xd54b944b84aa4c0d, 0xc5029163f384a931, 0xa9e795e65d4df11, 0xf64335bcf065d37d, 0x4d4617b5ff4a16d5, 0x99ea0196163fa42e, 0x504bced1bf8e4e45,
    0xc06481fb9bcf8d39, 0xe45ec2862f71e1d6, 0xf07da27a82c37088, 0x5d767327bb4e5a4c, 0x964e858c91ba2655, 0x3a6a07f8d510f86f, 0xbbe226efb628afea, 0x890489f70a55368b,
    0xeadab0aba3b2dbe5, 0x2b45ac74ccea842e, 0x92c8ae6b464fc96f, 0x3b0b8bc90012929d, 0xb77ada0617e3bbcb, 0x9ce6ebb40173744, 0xe55990879ddcaabd, 0xcc420a6a101d0515,
    0x8f57fa54c2a9eab6, 0x9fa946824a12232d, 0xb32df8e9f3546564, 0x47939822dc96abf9, 0xdff9772470297ebd, 0x59787e2b93bc56f7, 0x8bfbea76c619ef36, 0x57eb4edb3c55b65a,
    0xaefae51477a06b03, 0xede622920b6b23f1, 0xdab99e59958885c4, 0xe95fab368e45eced, 0x88b402f7fd75539b, 0x11dbcb0218ebb414, 0xaae103b5fcd2a881, 0xd652bdc29f26a119,
    0xd59944a37c0752a2, 0x4be76d3346f0495f, 0x857fcae62d8493a5, 0x6f70a4400c562ddb, 0xa6dfbd9fb8e5b88e, 0xcb4ccd500f6bb952, 0xd097ad07a71f26b2, 0x7e2000a41346a7a7,
    0x825ecc24c873782f, 0x8ed400668c0c28c8, 0xa2f67f2dfa90563b, 0x728900802f0f32fa, 0xcbb41ef979346bca, 0x4f2b40a03ad2ffb9, 0xfea126b7d78186bc, 0xe2f610c84987bfa8,
    0x9f24b832e6b0f436, 0xdd9ca7d2df4d7c9, 0xc6ede63fa05d3143, 0x91503d1c79720dbb, 0xf8a95fcf88747d94, 0x75a44c6397ce912a, 0x9b69dbe1b548ce7c, 0xc986afbe3ee11aba,
    0xc24452da229b021b, 0xfbe85badce996168, 0xf2d56790ab41c2a2, 0xfae27299423fb9c3, 0x97c560ba6b0919a5, 0xdccd879fc967d41a, 0xbdb6b8e905cb600f, 0x5400e987bbc1c920,
    0xed246723473e3813, 0x290123e9aab23b68, 0x9436c0760c86e30b, 0xf9a0b6720aaf6521, 0xb94470938fa89bce, 0xf808e40e8d5b3e69, 0xe7958cb87392c2c2, 0xb60b1d1230b20e04,
    0x90bd77f3483bb9b9, 0xb1c6f22b5e6f48c2, 0xb4ecd5f01a4aa828, 0x1e38aeb6360b1af3, 0xe2280b6c20dd5232, 0x25c6da63c38de1b0, 0x8d590723948a535f, 0x579c487e5a38ad0e,
    0xb0af48ec79ace837, 0x2d835a9df0c6d851, 0xdcdb1b2798182244, 0xf8e431456cf88e65, 0x8a08f0f8bf0f156b, 0x1b8e9ecb641b58ff, 0xac8b2d36eed2dac5, 0xe272467e3d222f3f,
    0xd7adf884aa879177, 0x5b0ed81dcc6abb0f, 0x86ccbb52ea94baea, 0x98e947129fc2b4e9, 0xa87fea27a539e9a5, 0x3f2398d747b36224, 0xd29fe4b18e88640e, 0x8eec7f0d19a03aad,
    0x83a3eeeef9153e89, 0x1953cf68300424ac, 0xa48ceaaab75a8e2b, 0x5fa8c3423c052dd7, 0xcdb02555653131b6, 0x3792f412cb06794d, 0x808e17555f3ebf11, 0xe2bbd88bbee40bd0,
    0xa0b19d2ab70e6ed6, 0x5b6aceaeae9d0ec4, 0xc8de047564d20a8b, 0xf245825a5a445275, 0xfb158592be068d2e, 0xeed6e2f0f0d56712, 0x9ced737bb6c4183d, 0x55464dd69685606b,
    0xc428d05aa4751e4c, 0xaa97e14c3c26b886, 0xf53304714d9265df, 0xd53dd99f4b3066a8, 0x993fe2c6d07b7fab, 0xe546a8038efe4029, 0xbf8fdb78849a5f96, 0xde98520472bdd033,
    0xef73d256a5c0f77c, 0x963e66858f6d4440, 0x95a8637627989aad, 0xdde7001379a44aa8, 0xbb127c53b17ec159, 0x5560c018580d5d52, 0xe9d71b689dde71af, 0xaab8f01e6e10b4a6,
    0x9226712162ab070d, 0xcab3961304ca70e8, 0xb6b00d69bb55c8d1, 0x3d607b97c5fd0d22, 0xe45c10c42a2b3b05, 0x8cb89a7db77c506a, 0x8eb98a7a9a5b04e3, 0x77f3608e92adb242,
    0xb267ed1940f1c61c, 0x55f038b237591ed3, 0xdf01e85f912e37a3, 0x6b6c46dec52f6688, 0x8b61313bbabce2c6, 0x2323ac4b3b3da015, 0xae397d8aa96c1b77, 0xabec975e0a0d081a,
    0xd9c7dced53c72255, 0x96e7bd358c904a21, 0x881cea14545c7575, 0x7e50d64177da2e54, 0xaa242499697392d2, 0xdde50bd1d5d0b9e9, 0xd4ad2dbfc3d07787, 0x955e4ec64b44e864,
    0x84ec3c97da624ab4, 0xbd5af13bef0b113e, 0xa6274bbdd0fadd61, 0xecb1ad8aeacdd58e, 0xcfb11ead453994ba, 0x67de18eda5814af2, 0x81ceb32c4b43fcf4, 0x80eacf948770ced7,
    0xa2425ff75e14fc31, 0xa1258379a94d028d, 0xcad2f7f5359a3b3e, 0x96ee45813a04330, 0xfd87b5f28300ca0d, 0x8bca9d6e188853fc, 0x9e74d1b791e07e48, 0x775ea264cf55347e,
    0xc612062576589dda, 0x95364afe032a819e, 0xf79687aed3eec551, 0x3a83ddbd83f52205, 0x9abe14cd44753b52, 0xc4926a9672793543, 0xc16d9a0095928a27, 0x75b7053c0f178294,
    0xf1c90080baf72cb1, 0x5324c68b12dd6339, 0x971da05074da7bee, 0xd3f6fc16ebca5e04, 0xbce5086492111aea, 0x88f4bb1ca6bcf585, 0xec1e4a7db69561a5, 0x2b31e9e3d06c32e6,
    0x9392ee8e921d5d07, 0x3aff322e62439fd0, 0xb877aa3236a4b449, 0x9befeb9fad487c3, 0xe69594bec44de15b, 0x4c2ebe687989a9b4, 0x901d7cf73ab0acd9, 0xf9d37014bf60a11,
    0xb424dc35095cd80f, 0x538484c19ef38c95, 0xe12e13424bb40e13, 0x2865a5f206b06fba, 0x8cbccc096f5088cb, 0xf93f87b7442e45d4, 0xafebff0bcb24aafe, 0xf78f69a51539d749,
    0xdbe6fecebdedd5be, 0xb573440e5a884d1c, 0x89705f4136b4a597, 0x31680a88f8953031, 0xabcc77118461cefc, 0xfdc20d2b36ba7c3e, 0xd6bf94d5e57a42bc, 0x3d32907604691b4d,
    0x8637bd05af6c69b5, 0xa63f9a49c2c1b110, 0xa7c5ac471b478423, 0xfcf80dc33721d54, 0xd1b71758e219652b, 0xd3c36113404ea4a9, 0x83126e978d4fdf3b, 0x645a1cac083126ea,
    0xa3d70a3d70a3d70a, 0x3d70a3d70a3d70a4, 0xcccccccccccccccc, 0xcccccccccccccccd, 0x8000000000000000, 0x0, 0xa000000000000000, 0x0,
    0xc800000000000000, 0x0, 0xfa00000000000000, 0x0, 0x9c40000000000000, 0x0, 0xc350000000000000, 0x0,
    0xf424000000000000, 0x0, 0x9896800000000000, 0x0, 0xbebc200000000000, 0x0, 0xee6b280000000000, 0x0,
    0x9502f90000000000, 0x0, 0xba43b74000000000, 0x0, 0xe8d4a51000000000, 0x0, 0x9184e72a00000000, 0x0,
    0xb5e620f480000000, 0x0, 0xe35fa931a0000000, 0x0, 0x8e1bc9bf04000000, 0x0, 0xb1a2bc2ec5000000, 0x0,
    0xde0b6b3a76400000, 0x0, 0x8ac7230489e80000, 0x0, 0xad78ebc5ac620000, 0x0, 0xd8d726b7177a8000, 0x0,
    0x878678326eac9000, 0x0, 0xa968163f0a57b400, 0x0, 0xd3c21bcecceda100, 0x0, 0x84595161401484a0, 0x0,
    0xa56fa5b99019a5c8, 0x0, 0xcecb8f27f4200f3a, 0x0, 0x813f3978f8940984, 0x4000000000000000, 0xa18f07d736b90be5, 0x5000000000000000,
    0xc9f2c9cd04674ede, 0xa400000000000000, 0xfc6f7c4045812296, 0x4d00000000000000, 0x9dc5ada82b70b59d, 0xf020000000000000, 0xc5371912364ce305, 0x6c28000000000000,
    0xf684df56c3e01bc6, 0xc732000000000000, 0x9a130b963a6c115c, 0x3c7f400000000000, 0xc097ce7bc90715b3, 0x4b9f100000000000, 0xf0bdc21abb48db20, 0x1e86d40000000000,
    0x96769950b50d88f4, 0x1314448000000000, 0xbc143fa4e250eb31, 0x17d955a000000000, 0xeb194f8e1ae525fd, 0x5dcfab0800000000, 0x92efd1b8d0cf37be, 0x5aa1cae500000000,
    0xb7abc627050305ad, 0xf14a3d9e40000000, 0xe596b7b0c643c719, 0x6d9ccd05d0000000, 0x8f7e32ce7bea5c6f, 0xe4820023a2000000, 0xb35dbf821ae4f38b, 0xdda2802c8a800000,
    0xe0352f62a19e306e, 0xd50b2037ad200000, 0x8c213d9da502de45, 0x4526f422cc340000, 0xaf298d050e4395d6, 0x9670b12b7f410000, 0xdaf3f04651d47b4c, 0x3c0cdd765f114000,
    0x88d8762bf324cd0f, 0xa5880a69fb6ac800, 0xab0e93b6efee0053, 0x8eea0d047a457a00, 0xd5d238a4abe98068, 0x72a4904598d6d880, 0x85a36366eb71f041, 0x47a6da2b7f864750,
    0xa70c3c40a64e6c51, 0x999090b65f67d924, 0xd0cf4b50cfe20765, 0xfff4b4e3f741cf6d, 0x82818f1281ed449f, 0xbff8f10e7a8921a4, 0xa321f2d7226895c7, 0xaff72d52192b6a0d,
    0xcbea6f8ceb02bb39, 0x9bf4f8a69f764490, 0xfee50b7025c36a08, 0x2f236d04753d5b4, 0x9f4f2726179a2245, 0x1d762422c946590, 0xc722f0ef9d80aad6, 0x424d3ad2b7b97ef5,
    0xf8ebad2b84e0d58b, 0xd2e0898765a7deb2, 0x9b934c3b330c8577, 0x63cc55f49f88eb2f, 0xc2781f49ffcfa6d5, 0x3cbf6b71c76b25fb, 0xf316271c7fc3908a, 0x8bef464e3945ef7a,
    0x97edd871cfda3a56, 0x97758bf0e3cbb5ac, 0xbde94e8e43d0c8ec, 0x3d52eeed1cbea317, 0xed63a231d4c4fb27, 0x4ca7aaa863ee4bdd, 0x945e455f24fb1cf8, 0x8fe8caa93e74ef6a,
    0xb975d6b6ee39e436, 0xb3e2fd538e122b44, 0xe7d34c64a9c85d44, 0x60dbbca87196b616, 0x90e40fbeea1d3a4a, 0xbc8955e946fe31cd, 0xb51d13aea4a488dd, 0x6babab6398bdbe41,
    0xe264589a4dcdab14, 0xc696963c7eed2dd1, 0x8d7eb76070a08aec, 0xfc1e1de5cf543ca2, 0xb0de65388cc8ada8, 0x3b25a55f43294bcb, 0xdd15fe86affad912, 0x49ef0eb713f39ebe,
    0x8a2dbf142dfcc7ab, 0x6e3569326c784337, 0xacb92ed9397bf996, 0x49c2c37f07965404, 0xd7e77a8f87daf7fb, 0xdc33745ec97be906, 0x86f0ac99b4e8dafd, 0x69a028bb3ded71a3,
    0xa8acd7c0222311bc, 0xc40832ea0d68ce0c, 0xd2d80db02aabd62b, 0xf50a3fa490c30190, 0x83c7088e1aab65db, 0x792667c6da79e0fa, 0xa4b8cab1a1563f52, 0x577001b891185938,
    0xcde6fd5e09abcf26, 0xed4c0226b55e6f86, 0x80b05e5ac60b6178, 0x544f8158315b05b4, 0xa0dc75f1778e39d6, 0x696361ae3db1c721, 0xc913936dd571c84c, 0x3bc3a19cd1e38e9,
    0xfb5878494ace3a5f, 0x4ab48a04065c723, 0x9d174b2dcec0e47b, 0x62eb0d64283f9c76, 0xc45d1df942711d9a, 0x3ba5d0bd324f8394, 0xf5746577930d6500, 0xca8f44ec7ee36479,
    0x9968bf6abbe85f20, 0x7e998b13cf4e1ecb, 0xbfc2ef456ae276e8, 0x9e3fedd8c321a67e, 0xefb3ab16c59b14a2, 0xc5cfe94ef3ea101e, 0x95d04aee3b80ece5, 0xbba1f1d158724a12,
    0xbb445da9ca61281f, 0x2a8a6e45ae8edc97, 0xea1575143cf97226, 0xf52d09d71a3293bd, 0x924d692ca61be758, 0x593c2626705f9c56, 0xb6e0c377cfa2e12e, 0x6f8b2fb00c77836c,
    0xe498f455c38b997a, 0xb6dfb9c0f956447, 0x8edf98b59a373fec, 0x4724bd4189bd5eac, 0xb2977ee300c50fe7, 0x58edec91ec2cb657, 0xdf3d5e9bc0f653e1, 0x2f2967b66737e3ed,
    0x8b865b215899f46c, 0xbd79e0d20082ee74, 0xae67f1e9aec07187, 0xecd8590680a3aa11, 0xda01ee641a708de9, 0xe80e6f4820cc9495, 0x884134fe908658b2, 0x3109058d147fdcdd,
    0xaa51823e34a7eede, 0xbd4b46f0599fd415, 0xd4e5e2cdc1d1ea96, 0x6c9e18ac7007c91a, 0x850fadc09923329e, 0x3e2cf6bc604ddb0, 0xa6539930bf6bff45, 0x84db8346b786151c,
    0xcfe87f7cef46ff16, 0xe612641865679a63, 0x81f14fae158c5f6e, 0x4fcb7e8f3f60c07e, 0xa26da3999aef7749, 0xe3be5e330f38f09d, 0xcb090c8001ab551c, 0x5cadf5bfd3072cc5,
    0xfdcb4fa002162a63, 0x73d9732fc7c8f7f6, 0x9e9f11c4014dda7e, 0x2867e7fddcdd9afa, 0xc646d63501a1511d, 0xb281e1fd541501b8, 0xf7d88bc24209a565, 0x1f225a7ca91a4226,
    0x9ae757596946075f, 0x3375788de9b06958, 0xc1a12d2fc3978937, 0x52d6b1641c83ae, 0xf209787bb47d6b84, 0xc0678c5dbd23a49a, 0x9745eb4d50ce6332, 0xf840b7ba963646e0,
    0xbd176620a501fbff, 0xb650e5a93bc3d898, 0xec5d3fa8ce427aff, 0xa3e51f138ab4cebe, 0x93ba47c980e98cdf, 0xc66f336c36b10137, 0xb8a8d9bbe123f017, 0xb80b0047445d4184,
    0xe6d3102ad96cec1d, 0xa60dc059157491e5, 0x9043ea1ac7e41392, 0x87c89837ad68db2f, 0xb454e4a179dd1877, 0x29babe4598c311fb, 0xe16a1dc9d8545e94, 0xf4296dd6fef3d67a,
    0x8ce2529e2734bb1d, 0x1899e4a65f58660c, 0xb01ae745b101e9e4, 0x5ec05dcff72e7f8f, 0xdc21a1171d42645d, 0x76707543f4fa1f73, 0x899504ae72497eba, 0x6a06494a791c53a8,
    0xabfa45da0edbde69, 0x487db9d17636892, 0xd6f8d7509292d603, 0x45a9d2845d3c42b6, 0x865b86925b9bc5c2, 0xb8a2392ba45a9b2, 0xa7f26836f282b732, 0x8e6cac7768d7141e,
    0xd1ef0244af2364ff, 0x3207d795430cd926, 0x8335616aed761f1f, 0x7f44e6bd49e807b8, 0xa402b9c5a8d3a6e7, 0x5f16206c9c6209a6, 0xcd036837130890a1, 0x36dba887c37a8c0f,
    0x802221226be55a64, 0xc2494954da2c9789, 0xa02aa96b06deb0fd, 0xf2db9baa10b7bd6c, 0xc83553c5c8965d3d, 0x6f92829494e5acc7, 0xfa42a8b73abbf48c, 0xcb772339ba1f17f9,
    0x9c69a97284b578d7, 0xff2a760414536efb, 0xc38413cf25e2d70d, 0xfef5138519684aba, 0xf46518c2ef5b8cd1, 0x7eb258665fc25d69, 0x98bf2f79d5993802, 0xef2f773ffbd97a61,
    0xbeeefb584aff8603, 0xaafb550ffacfd8fa, 0xeeaaba2e5dbf6784, 0x95ba2a53f983cf38, 0x952ab45cfa97a0b2, 0xdd945a747bf26183, 0xba756174393d88df, 0x94f971119aeef9e4,
    0xe912b9d1478ceb17, 0x7a37cd5601aab85d, 0x91abb422ccb812ee, 0xac62e055c10ab33a, 0xb616a12b7fe617aa, 0x577b986b314d6009, 0xe39c49765fdf9d94, 0xed5a7e85fda0b80b,
    0x8e41ade9fbebc27d, 0x14588f13be847307, 0xb1d219647ae6b31c, 0x596eb2d8ae258fc8, 0xde469fbd99a05fe3, 0x6fca5f8ed9aef3bb, 0x8aec23d680043bee, 0x25de7bb9480d5854,
    0xada72ccc20054ae9, 0xaf561aa79a10ae6a, 0xd910f7ff28069da4, 0x1b2ba1518094da04, 0x87aa9aff79042286, 0x90fb44d2f05d0842, 0xa99541bf57452b28, 0x353a1607ac744a53,
    0xd3fa922f2d1675f2, 0x42889b8997915ce8, 0x847c9b5d7c2e09b7, 0x69956135febada11, 0xa59bc234db398c25, 0x43fab9837e699095, 0xcf02b2c21207ef2e, 0x94f967e45e03f4bb,
    0x8161afb94b44f57d, 0x1d1be0eebac278f5, 0xa1ba1ba79e1632dc, 0x6462d92a69731732, 0xca28a291859bbf93, 0x7d7b8f7503cfdcfe, 0xfcb2cb35e702af78, 0x5cda735244c3d43e,
    0x9defbf01b061adab, 0x3a0888136afa64a7, 0xc56baec21c7a1916, 0x88aaa1845b8fdd0, 0xf6c69a72a3989f5b, 0x8aad549e57273d45, 0x9a3c2087a63f6399, 0x36ac54e2f678864b,
    0xc0cb28a98fcf3c7f, 0x84576a1bb416a7dd, 0xf0fdf2d3f3c30b9f, 0x656d44a2a11c51d5, 0x969eb7c47859e743, 0x9f644ae5a4b1b325, 0xbc4665b596706114, 0x873d5d9f0dde1fee,
    0xeb57ff22fc0c7959, 0xa90cb506d155a7ea, 0x9316ff75dd87cbd8, 0x9a7f12442d588f2, 0xb7dcbf5354e9bece, 0xc11ed6d538aeb2f, 0xe5d3ef282a242e81, 0x8f1668c8a86da5fa,
    0x8fa475791a569d10, 0xf96e017d694487bc, 0xb38d92d760ec4455, 0x37c981dcc395a9ac, 0xe070f78d3927556a, 0x85bbe253f47b1417, 0x8c469ab843b89562, 0x93956d7478ccec8e,
    0xaf58416654a6babb, 0x387ac8d1970027b2, 0xdb2e51bfe9d0696a, 0x6997b05fcc0319e, 0x88fcf317f22241e2, 0x441fece3bdf81f03, 0xab3c2fddeeaad25a, 0xd527e81cad7626c3,
    0xd60b3bd56a5586f1, 0x8a71e223d8d3b074, 0x85c7056562757456, 0xf6872d5667844e49, 0xa738c6bebb12d16c, 0xb428f8ac016561db, 0xd106f86e69d785c7, 0xe13336d701beba52,
    0x82a45b450226b39c, 0xecc0024661173473, 0xa34d721642b06084, 0x27f002d7f95d0190, 0xcc20ce9bd35c78a5, 0x31ec038df7b441f4, 0xff290242c83396ce, 0x7e67047175a15271,
    0x9f79a169bd203e41, 0xf0062c6e984d386, 0xc75809c42c684dd1, 0x52c07b78a3e60868, 0xf92e0c3537826145, 0xa7709a56ccdf8a82, 0x9bbcc7a142b17ccb, 0x88a66076400bb691,
    0xc2abf989935ddbfe, 0x6acff893d00ea435, 0xf356f7ebf83552fe, 0x583f6b8c4124d43, 0x98165af37b2153de, 0xc3727a337a8b704a, 0xbe1bf1b059e9a8d6, 0x744f18c0592e4c5c,
    0xeda2ee1c7064130c, 0x1162def06f79df73, 0x9485d4d1c63e8be7, 0x8addcb5645ac2ba8, 0xb9a74a0637ce2ee1, 0x6d953e2bd7173692, 0xe8111c87c5c1ba99, 0xc8fa8db6ccdd0437,
    0x910ab1d4db9914a0, 0x1d9c9892400a22a2, 0xb54d5e4a127f59c8, 0x2503beb6d00cab4b, 0xe2a0b5dc971f303a, 0x2e44ae64840fd61d, 0x8da471a9de737e24, 0x5ceaecfed289e5d2,
    0xb10d8e1456105dad, 0x7425a83e872c5f47, 0xdd50f1996b947518, 0xd12f124e28f77719, 0x8a5296ffe33cc92f, 0x82bd6b70d99aaa6f, 0xace73cbfdc0bfb7b, 0x636cc64d1001550b,
    0xd8210befd30efa5a, 0x3c47f7e05401aa4e, 0x8714a775e3e95c78, 0x65acfaec34810a71, 0xa8d9d1535ce3b396, 0x7f1839a741a14d0d, 0xd31045a8341ca07c, 0x1ede48111209a050,
    0x83ea2b892091e44d, 0x934aed0aab460432, 0xa4e4b66b68b65d60, 0xf81da84d5617853f, 0xce1de40642e3f4b9, 0x36251260ab9d668e, 0x80d2ae83e9ce78f3, 0xc1d72b7c6b426019,
    0xa1075a24e4421730, 0xb24cf65b8612f81f, 0xc94930ae1d529cfc, 0xdee033f26797b627, 0xfb9b7cd9a4a7443c, 0x169840ef017da3b1, 0x9d412e0806e88aa5, 0x8e1f289560ee864e,
    0xc491798a08a2ad4e, 0xf1a6f2bab92a27e2, 0xf5b5d7ec8acb58a2, 0xae10af696774b1db, 0x9991a6f3d6bf1765, 0xacca6da1e0a8ef29, 0xbff610b0cc6edd3f, 0x17fd090a58d32af3,
    0xeff394dcff8a948e, 0xddfc4b4cef07f5b0, 0x95f83d0a1fb69cd9, 0x4abdaf101564f98e, 0xbb764c4ca7a4440f, 0x9d6d1ad41abe37f1, 0xea53df5fd18d5513, 0x84c86189216dc5ed,
    0x92746b9be2f8552c, 0x32fd3cf5b4e49bb4, 0xb7118682dbb66a77, 0x3fbc8c33221dc2a1, 0xe4d5e82392a40515, 0xfabaf3feaa5334a, 0x8f05b1163ba6832d, 0x29cb4d87f2a7400e,
    0xb2c71d5bca9023f8, 0x743e20e9ef511012, 0xdf78e4b2bd342cf6, 0x914da9246b255416, 0x8bab8eefb6409c1a, 0x1ad089b6c2f7548e, 0xae9672aba3d0c320, 0xa184ac2473b529b1,
    0xda3c0f568cc4f3e8, 0xc9e5d72d90a2741e, 0x8865899617fb1871, 0x7e2fa67c7a658892, 0xaa7eebfb9df9de8d, 0xddbb901b98feeab7, 0xd51ea6fa85785631, 0x552a74227f3ea565,
    0x8533285c936b35de, 0xd53a88958f87275f, 0xa67ff273b8460356, 0x8a892abaf368f137, 0xd01fef10a657842c, 0x2d2b7569b0432d85, 0x8213f56a67f6b29b, 0x9c3b29620e29fc73,
    0xa298f2c501f45f42, 0x8349f3ba91b47b8f, 0xcb3f2f7642717713, 0x241c70a936219a73, 0xfe0efb53d30dd4d7, 0xed238cd383aa0110, 0x9ec95d1463e8a506, 0xf4363804324a40aa,
    0xc67bb4597ce2ce48, 0xb143c6053edcd0d5, 0xf81aa16fdc1b81da, 0xdd94b7868e94050a, 0x9b10a4e5e9913128, 0xca7cf2b4191c8326, 0xc1d4ce1f63f57d72, 0xfd1c2f611f63a3f0,
    0xf24a01a73cf2dccf, 0xbc633b39673c8cec, 0x976e41088617ca01, 0xd5be0503e085d813, 0xbd49d14aa79dbc82, 0x4b2d8644d8a74e18, 0xec9c459d51852ba2, 0xddf8e7d60ed1219e,
    0x93e1ab8252f33b45, 0xcabb90e5c942b503, 0xb8da1662e7b00a17, 0x3d6a751f3b936243, 0xe7109bfba19c0c9d, 0xcc512670a783ad4, 0x906a617d450187e2, 0x27fb2b80668b24c5,
    0xb484f9dc9641e9da, 0xb1f9f660802dedf6, 0xe1a63853bbd26451, 0x5e7873f8a0396973, 0x8d07e33455637eb2, 0xdb0b487b6423e1e8, 0xb049dc016abc5e5f, 0x91ce1a9a3d2cda62,
    0xdc5c5301c56b75f7, 0x7641a140cc7810fb, 0x89b9b3e11b6329ba, 0xa9e904c87fcb0a9d, 0xac2820d9623bf429, 0x546345fa9fbdcd44, 0xd732290fbacaf133, 0xa97c177947ad4095,
    0x867f59a9d4bed6c0, 0x49ed8eabcccc485d, 0xa81f301449ee8c70, 0x5c68f256bfff5a74, 0xd226fc195c6a2f8c, 0x73832eec6fff3111, 0x83585d8fd9c25db7, 0xc831fd53c5ff7eab,
    0xa42e74f3d032f525, 0xba3e7ca8b77f5e55, 0xcd3a1230c43fb26f, 0x28ce1bd2e55f35eb, 0x80444b5e7aa7cf85, 0x7980d163cf5b81b3, 0xa0555e361951c366, 0xd7e105bcc332621f,
    0xc86ab5c39fa63440, 0x8dd9472bf3fefaa7, 0xfa856334878fc150, 0xb14f98f6f0feb951, 0x9c935e00d4b9d8d2, 0x6ed1bf9a569f33d3, 0xc3b8358109e84f07, 0xa862f80ec4700c8,
    0xf4a642e14c6262c8, 0xcd27bb612758c0fa, 0x98e7e9cccfbd7dbd, 0x8038d51cb897789c, 0xbf21e44003acdd2c, 0xe0470a63e6bd56c3, 0xeeea5d5004981478, 0x1858ccfce06cac74,
    0x95527a5202df0ccb, 0xf37801e0c43ebc8, 0xbaa718e68396cffd, 0xd30560258f54e6ba, 0xe950df20247c83fd, 0x47c6b82ef32a2069, 0x91d28b7416cdd27e, 0x4cdc331d57fa5441,
    0xb6472e511c81471d, 0xe0133fe4adf8e952, 0xe3d8f9e563a198e5, 0x58180fddd97723a6, 0x8e679c2f5e44ff8f, 0x570f09eaa7ea7648,
};


/* Maximum mantissa for fast path: 2^53 */
#define MAX_MANTISSA_FAST_PATH 9007199254740992ULL  /* 2^53 */

/* Exponent limits for fast path */
#define MIN_EXPONENT_FAST_PATH -22
#define MAX_EXPONENT_FAST_PATH 22

/* Maximum number of significant digits we track before overflow */
#define MAX_DIGITS 19

/* Case-insensitive match against known lowercase literals using `| 0x20`.
 * Only valid when the target characters are ASCII letters (a-z). */
static inline int strcasecmp_3(const char *s, char c0, char c1, char c2) {
    return ((s[0] | 0x20) == c0) & ((s[1] | 0x20) == c1) & ((s[2] | 0x20) == c2);
}

/* Case-insensitive comparison for first n characters.
 * Only valid when the target characters are ASCII letters (a-z). */
static int strncasecmp_local(const char *s1, const char *s2, size_t n) {
    for (size_t i = 0; i < n; i++) {
        int diff = (s1[i] | 0x20) - s2[i];
        if (diff) return diff;
    }
    return 0;
}

/* Parse inf/nan special values.
 * Returns 1 if parsed successfully, 0 otherwise.
 * On success, *endptr points past the parsed value. */
static inline int parse_infnan(const char *p, const char *pend, double *result, const char **endptr) {
    int negative = (*p == '-');
    if (*p == '-' || *p == '+') p++;
    size_t remaining = pend - p;

    if (remaining >= 3) {
        if (strcasecmp_3(p, 'n', 'a', 'n')) {
            *result = negative ? -NAN : NAN;
            p += 3;
            /* Check for optional nan(n-char-seq) */
            if (p < pend && *p == '(') {
                const char *start = p;
                p++;
                while (p < pend) {
                    char c = *p;
                    if (c == ')') {
                        p++;
                        break;
                    }
                    if (!((c >= 'a' && c <= 'z') || (c >= 'A' && c <= 'Z') ||
                          (c >= '0' && c <= '9') || c == '_')) {
                        /* Invalid character, revert to position after "nan" */
                        p = start;
                        break;
                    }
                    p++;
                }
                /* If we didn't find closing ')', revert */
                if (p[-1] != ')') {
                    p = start;
                }
            }
            if (endptr) *endptr = (char *)p;
            return 1;
        }
        if (strcasecmp_3(p, 'i', 'n', 'f')) {
            *result = negative ? -INFINITY : INFINITY;
            p += 3;
            /* Check for optional "inity" suffix */
            if (remaining == 8 && strncasecmp_local(p, "inity", 5) == 0) {
                p += 5;
            }
            if (endptr) *endptr = (char *)p;
            return 1;
        }
    }
    return 0;
}

/* SWAR (SIMD Within A Register) helpers for batch digit parsing. */

static inline uint64_t read8_to_u64(const char *p) {
    uint64_t val;
    memcpy(&val, p, sizeof(uint64_t));
#if BYTE_ORDER == BIG_ENDIAN
    /* SWAR digit parsing assumes first char in LSB (little-endian layout). */
#if defined(__GNUC__) || defined(__clang__)
    val = __builtin_bswap64(val);
#else
    val = ((val & 0x00000000FFFFFFFFULL) << 32) | ((val & 0xFFFFFFFF00000000ULL) >> 32);
    val = ((val & 0x0000FFFF0000FFFFULL) << 16) | ((val & 0xFFFF0000FFFF0000ULL) >> 16);
    val = ((val & 0x00FF00FF00FF00FFULL) << 8)  | ((val & 0xFF00FF00FF00FF00ULL) >> 8);
#endif
#endif
    return val;
}

static inline int is_made_of_eight_digits(uint64_t val) {
    return !((((val + 0x4646464646464646ULL) | (val - 0x3030303030303030ULL)) &
              0x8080808080808080ULL));
}

static inline uint32_t parse_eight_digits_swar(uint64_t val) {
    uint64_t const mask = 0x000000FF000000FFULL;
    uint64_t const mul1 = 0x000F424000000064ULL; /* 100 + (1000000ULL << 32) */
    uint64_t const mul2 = 0x0000271000000001ULL; /* 1 + (10000ULL << 32) */
    val -= 0x3030303030303030ULL;
    val = (val * 10) + (val >> 8);
    val = (((val & mask) * mul1) + (((val >> 16) & mask) * mul2)) >> 32;
    return (uint32_t)val;
}

/* ----------------------------------------------------------------------------
 * Eisel-Lemire algorithm — core (compute_float / am_to_double).
 *
 * Given a decimal mantissa `w` (≤ 19 digits, fits in uint64) and exponent `q`,
 * compute the correctly-rounded `double` representing `w * 10^q`. Internally:
 *
 *   1. Shift `w` so its leading bit is set (full 64-bit mantissa).
 *   2. Multiply by the 128-bit precomputed power-of-five entry above.
 *   3. Extract the 53-bit mantissa from the high 64 bits of the product, with
 *      one extra bit for round-to-nearest-even.
 *   4. Apply the round-half-to-even rule, including the rare power-of-2 tie
 *      case that needs a second-pass check.
 *
 * For the 19-digit / |q| ≤ 22 input range the result is provably bit-exact
 * with strtod() (Mushtak & Lemire, "Fast Number Parsing Without Fallback").
 * The caller falls back to strtod() if compute_float() signals indeterminate
 * (we never trigger that branch with parse_number_string's bounded inputs).
 *
 * Ported from fast_float by Daniel Lemire & Joao Paulo Magalhaes
 * (MIT-licensed, https://github.com/fastfloat/fast_float — decimal_to_binary.h
 * and float_common.h). C++ template machinery dropped in favour of a
 * double-only specialisation; struct layouts kept to ease future review.
 * ---------------------------------------------------------------------------- */

/* IEEE-754 binary64 constants (mirrors fast_float's binary_format<double>). */
#define DOUBLE_MANTISSA_EXPLICIT_BITS    52
#define DOUBLE_MIN_EXPONENT_ROUND_EVEN   -4
#define DOUBLE_MAX_EXPONENT_ROUND_EVEN   23
#define DOUBLE_MINIMUM_EXPONENT          -1023
#define DOUBLE_INFINITE_POWER            0x7FF

/* 128-bit unsigned, little-endian: low holds bits [0..63]. */
typedef struct {
    uint64_t low;
    uint64_t high;
} value128;

/* Result of compute_float(): a 53-bit mantissa and a biased binary exponent.
 * power2 < 0 signals indeterminate (caller should fall back to strtod()). */
typedef struct {
    uint64_t mantissa;
    int32_t  power2;
} adjusted_mantissa;

/* `__builtin_clzll` is undefined on input 0 — caller guarantees v > 0. */
static inline int leading_zeroes_u64(uint64_t v) {
    return __builtin_clzll(v);
}

/* 64x64 -> 128 multiplication. __uint128_t is available on every 64-bit
 * target Redis supports (gated explicitly in the call site). */
static inline value128 full_multiplication(uint64_t a, uint64_t b) {
    value128 r;
#ifdef __SIZEOF_INT128__
    __uint128_t prod = (__uint128_t)a * (__uint128_t)b;
    r.low  = (uint64_t)prod;
    r.high = (uint64_t)(prod >> 64);
#else
    /* 32-bit fallback: split each operand into two 32-bit halves. */
    uint64_t a_lo = (uint32_t)a, a_hi = a >> 32;
    uint64_t b_lo = (uint32_t)b, b_hi = b >> 32;
    uint64_t ll = a_lo * b_lo;
    uint64_t lh = a_lo * b_hi;
    uint64_t hl = a_hi * b_lo;
    uint64_t hh = a_hi * b_hi;
    uint64_t mid = (ll >> 32) + (uint32_t)lh + (uint32_t)hl;
    r.low  = (mid << 32) | (uint32_t)ll;
    r.high = hh + (lh >> 32) + (hl >> 32) + (mid >> 32);
#endif
    return r;
}

/* For q in (-400, 350), this approximates floor(log2(5^q)) + q + 63
 * (or -ceil(log2(5^|q|)) + q + 63 for negative q). Used to derive power2. */
static inline int32_t eisel_lemire_power(int32_t q) {
    return (((152170 + 65536) * q) >> 16) + 63;
}

/* 128-bit approximation of `w * 5^q`. The optional fixup multiplies by the
 * second (extension) entry of the power-of-five table when the high half is
 * close to a rounding boundary. Mathematical proof of sufficiency: see
 * Mushtak & Lemire, "Fast Number Parsing Without Fallback". */
static inline value128 compute_product_approximation_d(int64_t q, uint64_t w) {
    int index = 2 * (int)(q - EISEL_LEMIRE_SMALLEST_POWER_OF_FIVE);
    value128 firstproduct = full_multiplication(w, power_of_five_128[index]);
    /* For double, bit_precision = mantissa_explicit_bits (52) + 3 = 55. */
    const uint64_t precision_mask =
        (uint64_t)0xFFFFFFFFFFFFFFFFULL >> 55;
    if ((firstproduct.high & precision_mask) == precision_mask) {
        value128 secondproduct =
            full_multiplication(w, power_of_five_128[index + 1]);
        firstproduct.low += secondproduct.high;
        if (secondproduct.high > firstproduct.low) {
            firstproduct.high++;
        }
    }
    return firstproduct;
}

/* Eisel-Lemire main: compute a correctly-rounded representation of w * 10^q.
 * Returns an `adjusted_mantissa`. Special outputs:
 *   - mantissa == 0 && power2 == 0: result is +/-0
 *   - power2 == DOUBLE_INFINITE_POWER && mantissa == 0: result is infinity
 *   - power2 < 0: indeterminate (caller should fall back to strtod()). With
 *     parse_number_string()'s bounded mantissa (<= 19 digits), this branch
 *     is unreachable, but we keep the signature for safety.
 */
static adjusted_mantissa compute_float_d(int64_t q, uint64_t w) {
    adjusted_mantissa answer;

    if (w == 0 || q < EISEL_LEMIRE_SMALLEST_POWER_OF_FIVE) {
        answer.power2 = 0;
        answer.mantissa = 0;
        return answer;
    }
    if (q > EISEL_LEMIRE_LARGEST_POWER_OF_FIVE) {
        answer.power2 = DOUBLE_INFINITE_POWER;
        answer.mantissa = 0;
        return answer;
    }

    /* Renormalise w so its top bit is set. */
    int lz = leading_zeroes_u64(w);
    w <<= lz;

    value128 product = compute_product_approximation_d(q, w);

    int upperbit = (int)(product.high >> 63);
    int shift = upperbit + 64 - DOUBLE_MANTISSA_EXPLICIT_BITS - 3;

    answer.mantissa = product.high >> shift;
    answer.power2 = (int32_t)(eisel_lemire_power((int32_t)q) + upperbit - lz - DOUBLE_MINIMUM_EXPONENT);

    if (answer.power2 <= 0) {
        /* Subnormal path. */
        if (-answer.power2 + 1 >= 64) {
            /* More than 64 bits below minimum exponent — definitely zero. */
            answer.power2 = 0;
            answer.mantissa = 0;
            return answer;
        }
        /* Safe: -answer.power2 + 1 < 64. */
        answer.mantissa >>= -answer.power2 + 1;
        answer.mantissa += (answer.mantissa & 1); /* round up */
        answer.mantissa >>= 1;
        /* If post-rounding the value crosses back into the normal range, mark
         * it normal (power2 = 1) rather than subnormal (power2 = 0). */
        answer.power2 = (answer.mantissa < ((uint64_t)1 << DOUBLE_MANTISSA_EXPLICIT_BITS)) ? 0 : 1;
        return answer;
    }

    /* Normal path: handle the round-half-to-even tie case. */
    if ((product.low <= 1) &&
        (q >= DOUBLE_MIN_EXPONENT_ROUND_EVEN) &&
        (q <= DOUBLE_MAX_EXPONENT_ROUND_EVEN) &&
        ((answer.mantissa & 3) == 1)) {
        if ((answer.mantissa << shift) == product.high) {
            answer.mantissa &= ~(uint64_t)1; /* clear LSB so we round down */
        }
    }
    answer.mantissa += (answer.mantissa & 1);
    answer.mantissa >>= 1;
    if (answer.mantissa >= ((uint64_t)2 << DOUBLE_MANTISSA_EXPLICIT_BITS)) {
        answer.mantissa = (uint64_t)1 << DOUBLE_MANTISSA_EXPLICIT_BITS;
        answer.power2++;
    }
    answer.mantissa &= ~((uint64_t)1 << DOUBLE_MANTISSA_EXPLICIT_BITS);
    if (answer.power2 >= DOUBLE_INFINITE_POWER) {
        answer.power2 = DOUBLE_INFINITE_POWER;
        answer.mantissa = 0;
    }
    return answer;
}

/* Pack adjusted_mantissa back to a double via IEEE-754 bit layout. */
static inline double am_to_double(int negative, adjusted_mantissa am) {
    uint64_t word = am.mantissa;
    word |= (uint64_t)am.power2 << DOUBLE_MANTISSA_EXPLICIT_BITS;
    if (negative) word |= (uint64_t)1 << 63;
    double value;
    memcpy(&value, &word, sizeof(value));
    return value;
}

/* Parse a decimal number string into components.
 * This follows the fast_float algorithm closely. */
static inline int parse_number_string(const char *p, const char *pend, double *result, const char **endptr) {
    uint64_t mantissa = 0;  /* Mantissa digits as uint64 */
    int64_t exponent = 0;   /* Decimal exponent (adjusted for decimal point) */
    int negative = 0;       /* Sign flag */
    *endptr = p;

    if (p == pend) return 0;

    /* Parse sign */
    negative = (*p == '-');
    if (*p == '-' || *p == '+') {
        p++;
        if (p == pend) return 0;
    }

    const char *start_digits = p;

    /* Parse integer part */
    mantissa = 0;
    while (pend - p >= 8) {
        uint64_t val = read8_to_u64(p);
        if (!is_made_of_eight_digits(val)) break;
        mantissa = mantissa * 100000000 + parse_eight_digits_swar(val);
        p += 8;
    }
    while (p != pend && *p >= '0' && *p <= '9') {
        mantissa = mantissa * 10 + (*p - '0');
        p++;
    }

    int64_t digit_count = p - start_digits;

    /* Parse decimal point and fractional part */
    exponent = 0;
    int has_decimal = (p != pend && *p == '.');

    if (has_decimal) {
        p++;
        const char *before = p;
        while (pend - p >= 8) {
            uint64_t val = read8_to_u64(p);
            if (!is_made_of_eight_digits(val)) break;
            mantissa = mantissa * 100000000 + parse_eight_digits_swar(val);
            p += 8;
        }
        while (p != pend && *p >= '0' && *p <= '9') {
            mantissa = mantissa * 10 + (*p - '0');
            p++;
        }
        exponent = before - p;  /* Negative: number of fractional digits */
        digit_count += (p - before);
    }

    /* Must have at least one digit */
    if (digit_count == 0) return 0;

    /* Parse exponent */
    int64_t exp_number = 0;
    if (p != pend && (*p == 'e' || *p == 'E')) {
        const char *exp_start = p;
        p++;

        int neg_exp = 0;
        if (p != pend && *p == '-') {
            neg_exp = 1;
            p++;
        } else if (p != pend && *p == '+') {
            p++;
        }

        if (p == pend || *p < '0' || *p > '9') {
            /* No digits after e/E, revert to position before 'e' */
            p = exp_start;
        } else {
            while (p != pend && *p >= '0' && *p <= '9') {
                if (exp_number < 0x10000000) {
                    exp_number = exp_number * 10 + (*p - '0');
                }
                p++;
            }
            if (neg_exp) exp_number = -exp_number;
            exponent += exp_number;
        }
    }

    *endptr = p;
    
    /* Handle overflow in mantissa: if we have too many digits,
     * we need to reparse more carefully */
    if (digit_count > MAX_DIGITS) {
        /* Skip leading zeros to get actual digit count */
        const char *s = start_digits;
        while (s != pend && (*s == '0' || *s == '.')) {
            if (*s == '0') digit_count--;
            s++;
        }

        if (digit_count > MAX_DIGITS) return 0;
    }

    /* Pick the conversion path. Two regimes:
     *   Clinger fast path: small mantissa (<= 2^53) and small |exp| (<= 22).
     *     One double multiply or divide; cheapest, exact by construction.
     *   Eisel-Lemire: large mantissa or wide exponent range (full double
     *     domain). Slightly slower per call (128-bit multiply + table lookup)
     *     but correctly-rounded by the Mushtak-Lemire proof.
     * Inputs outside both ranges fall back to strtod() (caller of this fn). */
    double value;
    if (mantissa <= MAX_MANTISSA_FAST_PATH &&
        exponent >= MIN_EXPONENT_FAST_PATH &&
        exponent <= MAX_EXPONENT_FAST_PATH)
    {
        /* Clinger fast path: all operands exact in double precision,
         * single multiply/divide produces a correctly-rounded result. */
        value = (double)mantissa;
        if (exponent < 0)       value = value / powers_of_ten[-exponent];
        else if (exponent > 0)  value = value * powers_of_ten[exponent];
        if (negative) value = -value;
    } else {
        /* Eisel-Lemire path. Replaces a previously hand-rolled widened branch
         * (`(double)hi * 2^64 + (double)lo` shortcut) that produced ±1 ULP
         * mismatches vs strtod() on inputs like 9007199255094284e-19 and
         * 2489830482329185244e1. compute_float_d is bit-exact with strtod()
         * for every input parse_number_string can produce. */
        if (exponent < EISEL_LEMIRE_SMALLEST_POWER_OF_FIVE || exponent > EISEL_LEMIRE_LARGEST_POWER_OF_FIVE)
            return 0;

        adjusted_mantissa am = compute_float_d(exponent, mantissa);
        /* power2 < 0 would mean indeterminate (caller should fall back to
         * strtod). With our bounded mantissa (<= 19 digits) this branch is
         * unreachable per the Mushtak-Lemire proof, but we keep the guard so
         * any future caller that supplies a larger mantissa stays correct. */
        if (am.power2 < 0) return 0;
        value = am_to_double(negative, am);
    }

    *result = value;
    return 1;
}

/* Main conversion function.
 *
 * This function behaves similarly to the standard strtod function, converting
 * the initial portion of the string pointed to by `nptr` to a `double` value.
 * If the conversion fails, errno is set to EINVAL error code.
 *
 * @param nptr   A pointer to the null-terminated byte string to be interpreted.
 * @param endptr A pointer to a pointer to character. If `endptr` is not NULL,
 *               it will point to the character after the last character used
 *               in the conversion.
 * @return       The converted value as a double. If no valid conversion could
 *               be performed, returns 0.0.
 */
static inline int fast_float_try_fast(const char *nptr, const char *pend, double *result, const char **endptr) {
    if (nptr == pend) {
        errno = EINVAL;
        if (endptr) *endptr = (char *)nptr;
        return 0;
    }

    /* Parse the number string */
    if (parse_number_string(nptr, pend, result, endptr)) {
        return 1;
    }

    /* Not a valid decimal number, try inf/nan special values */
    if (parse_infnan(nptr, pend, result, endptr)) {
        return 1;
    }

    return 0;
}

static double fast_float_strtod_fallback(const char *nptr, size_t len, char **endptr) {
    /* Since the input may not be null-terminated, we must copy it into a temporary buffer. */
    char static_buf[128];
    char *buf = static_buf;
    if (len >= sizeof(static_buf))
        buf = zmalloc(len + 1);
    memcpy(buf, nptr, len);
    buf[len] = '\0';

    char *fallback_end;
    double result = strtod(buf, &fallback_end);
    if (endptr) *endptr = (char *)nptr + (fallback_end - buf);

    /* If strtod failed to parse, set errno */
    if (fallback_end == buf) {
        errno = EINVAL;
    }

    if (buf != static_buf) zfree(buf);
    return result;
}

/* Convert string to double, with explicit length (string need NOT be null-terminated).
 * Falls back to strtod by copying to a temporary null-terminated buffer. */
double fast_float_strtod(const char *nptr, size_t len, char **endptr) {
    double result = 0.0;
    const char *pend = nptr + len;
    const char *eptr;

    /* Use fast path for non-null-terminated strings */
    if (likely(fast_float_try_fast(nptr, pend, &result, &eptr) && eptr == pend)) {
        if (endptr) *endptr = (char *)eptr;
#if UINTPTR_MAX == 0xffffffff
        /* On 32-bit x86 with x87 FPU, the fast-path fdiv/fmul result lives in
         * an 80-bit extended-precision register. With optimisation the compiler
         * may return that value in st(0) without ever storing it to a 64-bit
         * memory slot, so the caller would receive an 80-bit value that differs
         * from the correctly-rounded 64-bit double.  Writing through a volatile
         * forces a real fstpl (store + pop to 64-bit memory) followed by fldl
         * (reload into st(0) from that 64-bit slot), ensuring the return value
         * is truncated to double precision before it reaches the caller. */
        volatile double ret = result;
        return ret;
#else
        return result;
#endif
    }
    
    /* Fall back to strtod for complex cases:
     * - Very large or very small exponents
     * - Too many digits (need precise rounding)
     * This ensures we get correctly-rounded results for edge cases. */
    return fast_float_strtod_fallback(nptr, len, endptr);
}

#ifdef REDIS_TEST
#include <stdio.h>
#include "testhelp.h"

#define UNUSED(x) (void)(x)
#define COUNTOF(arr) (int)(sizeof(arr) / sizeof((arr)[0]))

typedef struct {
    const char *input;
    double expected;
} ff_testcase;

static int ff_eq(double a, double b) {
    if (isnan(a)) return isnan(b);
    if (isinf(a)) return isinf(b) && (a > 0) == (b > 0);
    return a == b;
}

static void run_ff_tests(ff_testcase *cases, int n, int expect_failed) {
    for (int i = 0; i < n; i++) {
        const char *s = cases[i].input;
        size_t len = strlen(s);
        char *eptr;

        errno = 0;
        double d = fast_float_strtod(s, len, &eptr);
        int failed = ((size_t)(eptr - s) != len) || errno == EINVAL ||
            (errno == ERANGE && (d == HUGE_VAL || d == -HUGE_VAL || fpclassify(d) == FP_ZERO));
        int ok = (expect_failed == failed) && ff_eq(d, cases[i].expected);
        char descr[128];
        if (ok)
            snprintf(descr, sizeof(descr), "\"%s\" -> expect %s(%.20g)",
                     s, expect_failed ? "fail" : "ok", cases[i].expected);
        else
            snprintf(descr, sizeof(descr), "\"%s\" -> expect %s(%.20g) but got %s(%.20g)",
                     s, expect_failed ? "fail" : "ok", cases[i].expected, failed ? "fail" : "ok", d);
        test_cond(descr, ok);
    }
}

int fastFloatTest(int argc, char **argv, int flags) {
    UNUSED(argc);
    UNUSED(argv);
    UNUSED(flags);

    /* Finite decimals: fast path, exponent ±22 edges, mantissa 2^53, strtod fallback. */
    ff_testcase decimal_ok[] = {
        {"0", 0.0},
        {"+0", 0.0},
        {"-0", -0.0},
        {"42", 42.0},
        {"+42", 42.0},
        {"-42", -42.0},
        {"00007", 7.0},
        {"00.25", 0.25},
        {"3.14", 3.14},
        {".5", 0.5},
        {"+.5", 0.5},
        {"1.", 1.0},
        {"0.", 0.0},
        {".0", 0.0},
        {"-1.5e2", -150.0},
        {"1e5", 1e5},
        {"1E5", 1e5},
        {"2E3", 2000.0},
        {"3e+5", 3e5},
        {"1e-10", 1e-10},
        {"1e-22", 1e-22},
        {"1e+22", 1e22},
        {"1e-23", 1e-23},
        {"1e+100", 1e100},
        {"1e-100", 1e-100},
        {"9007199254740992", 9007199254740992.0},
        {"9007199254740993", 9007199254740992.0},
        {"12345678901234567890", 1.2345678901234567e19},
        {"2.2250738585072012e-308", 2.2250738585072012e-308}, /* Near DBL_MIN boundary */
        {"0x10", 16.0},

        /* Widened fast path: mantissa > 2^53 (==9007199254740992), |exp| in [1,19].
         * These cover the __uint128_t code path that avoids the strtod() fallback.
         * Each expected value is the IEEE-correct round-to-nearest double. */

        /* 17-19 significant digit mantissas — negative exponent (scores in [0,1)) */
        {"0.49606648747577575", 0.49606648747577575}, /* 17 sig digits, ZADD hot case */
        {"0.8731899671198792",  0.8731899671198792},  /* 16 sig digits */
        {"0.34912978268081996", 0.34912978268081996}, /* 17 sig digits */
        {"0.0033318113277969186", 0.0033318113277969186}, /* 19 sig digits after leading-zero strip */
        {"0.9955843393406656",  0.9955843393406656},
        {"0.999999999999999",   0.999999999999999},   /* repunit-ish, ULP boundary */

        /* Mantissa just above 2^53: triggers the widened path */
        {"9007199254740993.0",  9007199254740992.0},  /* rounds down */
        {"9007199254740995.0",  9007199254740996.0},  /* ties-to-even up */
        {"9007199254740996.0",  9007199254740996.0},
        {"10000000000000000",   1e16},                /* exact 10^16, mantissa = 10^16 */
        {"99999999999999999",   1e17},                /* one less than 10^17 */

        /* 18-digit mantissa with various exponents */
        {"1234567890123456789",    1.2345678901234568e18}, /* 19 digits, integer form */
        {"1234567890123456789e0",  1.2345678901234568e18},
        {"1234567890123456789e-5", 12345678901234.568},
        {"1234567890123456789e-19", 0.12345678901234568},
        {"1234567890123456789e5",  1.2345678901234569e23}, /* 19-digit mantissa × 10^5 — widened path */

        /* Boundary: exponent exactly ±19 (widened-path limit) */
        {"1234567890123.456789e-19", 1.2345678901234568e-7}, /* effective exp = -25, falls back to strtod */
        {"9999999999999999e19",       9.999999999999999e34},
        {"9999999999999999e-19",      9.999999999999999e-4},

        /* Negative numbers exercising the widened path */
        {"-0.49606648747577575", -0.49606648747577575},
        {"-9007199254740993",    -9007199254740992.0},

        /* Eisel-Lemire rounding-boundary cases.
         * Reported by @vitahlin on #14661 against the previous
         * `(double)hi * 2^64 + (double)lo` widened branch which
         * double-rounded the 128-bit product. Both must now match
         * strtod() exactly. */
        {"9007199255094284e-19",   9007199255094284e-19}, /* was -1 ULP */
        {"2489830482329185244e1",  2489830482329185244e1}, /* was +1 ULP */

        /* Subnormal boundaries (Eisel-Lemire's subnormal branch). */
        {"5e-324",                 5e-324},               /* smallest pos subnormal */
        {"4.9e-324",               5e-324},               /* below half: rounds up */
        {"2.2250738585072009e-308", 2.2250738585072009e-308}, /* largest subnormal */
        {"2.2250738585072014e-308", 2.2250738585072014e-308}, /* smallest normal */
        {"1e-323",                 1e-323},

        /* Round-half-to-even ties: post-Clinger range, hits compute_float_d
         * tie path (product.low <= 1, q in [-4, 23], mantissa & 3 == 1). */
        {"5497558138880",          5497558138880.0},      /* 2^42 + 2^33 boundary */
        {"5e-22",                  5e-22},
        {"7.038531e-26",           7.038531e-26},
        {"4503599627475501e-10",   4503599627475501e-10}, /* near 2^52 */

        /* Largest finite double + overflow. */
        {"1.7976931348623157e308", 1.7976931348623157e308}, /* DBL_MAX */
        {"1.7976931348623158e308", 1.7976931348623157e308}, /* nearest is DBL_MAX */
        {"1e308",                  1e308},

        /* Wide exponent range now reachable via Eisel-Lemire (previously
         * fell to strtod). */
        {"1.234567890123456e100",  1.234567890123456e100},
        {"9.999999999999999e99",   9.999999999999999e99},
        {"1e-300",                 1e-300},
        {"1.7e-300",               1.7e-300},

        /* Repunit / many-9 mantissas — adjacent-double tie territory. */
        {"9999999999999998",       9999999999999998.0},
        {"99999999999999999",      1e17},
    };
    run_ff_tests(decimal_ok, COUNTOF(decimal_ok), 0);

    /* Differential cross-check: every accepted input must produce the
     * exact same bits as libc strtod(). Hand-picked hard cases covering
     * every code path in compute_float_d (subnormal branch, round-half-
     * to-even tie path, near-infinity, repunit mantissa, wide exponent). */
    {
        static const char *diff_inputs[] = {
            /* Boundary classics around 2^53. */
            "9007199254740992", "9007199254740993", "9007199254740994",
            "9007199254740995", "9007199254740996",
            /* Limits of finite double. */
            "1.7976931348623157e308", "2.2250738585072014e-308",
            "5e-324", "1e-323", "4.9406564584124654e-324",
            /* The two reproducer inputs the previous widened branch missed. */
            "9007199255094284e-19", "2489830482329185244e1",
            /* Mushtak-Lemire stress range — 19-digit mantissas. */
            "1234567890123456789e0", "1234567890123456789e-5",
            "1234567890123456789e5", "9999999999999999e19",
            /* Common scientific constants — mid-exponent sanity. */
            "3.141592653589793", "2.718281828459045",
            "1.4142135623730951e150", "6.022140857e23",
            "1.602176634e-19", "9.10938356e-31",
        };
        for (int i = 0; i < COUNTOF(diff_inputs); i++) {
            const char *s = diff_inputs[i];
            char *fend, *lend;
            errno = 0;
            double got = fast_float_strtod(s, strlen(s), &fend);
            errno = 0;
            double libc = strtod(s, &lend);
            uint64_t gb, lb;
            memcpy(&gb, &got, sizeof(gb));
            memcpy(&lb, &libc, sizeof(lb));
            char descr[160];
            snprintf(descr, sizeof(descr),
                     "differential vs strtod: \"%s\" ff=0x%016llx libc=0x%016llx",
                     s, (unsigned long long)gb, (unsigned long long)lb);
            test_cond(descr, gb == lb);
        }
    }

    /* No valid prefix for full buffer, or trailing junk. */
    ff_testcase decimal_bad[] = {
        {"1abc", 1.0},
        {"1e", 1.0},
        {"1e+", 1.0},
        {"1e-", 1.0},
        {"1e+z", 1.0},
        {"12.34.56", 12.34},
        {"..1", 0.0},
        {"e10", 0.0},
        {"E10", 0.0},
        {"+", 0.0},
        {"-", 0.0},
        {"foo", 0.0},
        {"1 ", 1.0},
        {"3.14!", 3.14},
    };
    run_ff_tests(decimal_bad, COUNTOF(decimal_bad), 1);

    ff_testcase inf_valid[] = {
        {"inf", INFINITY},
        {"INF", INFINITY},
        {"Inf", INFINITY},
        {"infinity", INFINITY},
        {"INFINITY", INFINITY},
        {"Infinity", INFINITY},
        {"+inf", INFINITY},
        {"-inf", -INFINITY},
        {"+infinity", INFINITY},
        {"-INFINITY", -INFINITY},
    };
    run_ff_tests(inf_valid, COUNTOF(inf_valid), 0);

    ff_testcase inf_invalid[] = {
        {"in", 0},
        {"infin", INFINITY},
        {"infini1", INFINITY},
        {"infinitx", INFINITY},
        {"infinityy", INFINITY},
        {"info", INFINITY},
        {"ina", 0},
        {"INFI", INFINITY},
        {"iNf0", INFINITY},
    };
    run_ff_tests(inf_invalid, COUNTOF(inf_invalid), 1);

    ff_testcase nan_valid[] = {
        {"nan", NAN},
        {"NAN", NAN},
        {"Nan", NAN},
        {"nan(123)", NAN},
        {"nan(abc)", NAN},
        {"nan(123abc)", NAN},
    };
    run_ff_tests(nan_valid, COUNTOF(nan_valid), 0);

    ff_testcase nan_invalid[] = {
        {"na", 0},
        {"nan(", NAN},         /* unclosed paren */
        {"nan(abc", NAN},      /* missing closing paren */
        {"nan(ab!c)", NAN},    /* invalid char in paren */
        {"nan(ab c)", NAN},    /* space in paren */
        {"nanx", NAN},         /* trailing garbage */
    };
    run_ff_tests(nan_invalid, COUNTOF(nan_invalid), 1);

    /* Large input that exceeds static_buf (128 bytes), exercising the zmalloc fallback path. */
    {
        /* Build a string "000...00042.0" with total length > 128. */
        char big[256];
        memset(big, '0', sizeof(big));
        big[sizeof(big) - 4] = '2';
        big[sizeof(big) - 3] = '.';
        big[sizeof(big) - 2] = '0';
        big[sizeof(big) - 1] = '\0';
        char *eptr;
        double d = fast_float_strtod(big, strlen(big), &eptr);
        test_cond("large input (>128 bytes) zmalloc fallback path",
                  (size_t)(eptr - big) == strlen(big) && ff_eq(d, 2.0));

        /* Large input that is completely invalid. */
        memset(big, 'x', sizeof(big) - 1);
        big[sizeof(big) - 1] = '\0';
        d = fast_float_strtod(big, strlen(big), &eptr);
        test_cond("invalid large input (>128 bytes) zmalloc fallback path",
                  eptr == big && ff_eq(d, 0.0));
    }

    return 0;
}
#endif
