/* 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 #include #include #include #include #include #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, 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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). */ #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 #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