diff --git a/include/fmt/format-inl.h b/include/fmt/format-inl.h index 2a6efc78..d42e4c83 100644 --- a/include/fmt/format-inl.h +++ b/include/fmt/format-inl.h @@ -40,6 +40,11 @@ # pragma warning(disable : 4702) // unreachable code #endif +// For x64-specific MSVC intrinsics +#if defined(_MSC_VER) && defined(_M_X64) +# include +#endif + // Dummy implementations of strerror_r and strerror_s called if corresponding // system functions are not available. inline fmt::detail::null<> strerror_r(int, char*, ...) { return {}; } @@ -285,7 +290,7 @@ const uint64_t basic_data::zero_or_powers_of_10_64[] = { // Normalized 64-bit significands of pow(10, k), for k = -348, -340, ..., 340. // These are generated by support/compute-powers.py. template -const uint64_t basic_data::pow10_significands[] = { +const uint64_t basic_data::grisu_pow10_significands[] = { 0xfa8fd5a0081c0288, 0xbaaee17fa23ebf76, 0x8b16fb203055ac76, 0xcf42894a5dce35ea, 0x9a6bb0aa55653b2d, 0xe61acf033d1a45df, 0xab70fe17c79ac6ca, 0xff77b1fcbebcdc4f, 0xbe5691ef416bd60c, @@ -320,7 +325,7 @@ const uint64_t basic_data::pow10_significands[] = { // Binary exponents of pow(10, k), for k = -348, -340, ..., 340, corresponding // to significands above. template -const int16_t basic_data::pow10_exponents[] = { +const int16_t basic_data::grisu_pow10_exponents[] = { -1220, -1193, -1166, -1140, -1113, -1087, -1060, -1034, -1007, -980, -954, -927, -901, -874, -847, -821, -794, -768, -741, -715, -688, -661, -635, -608, -582, -555, -529, -502, -475, -449, -422, -396, -369, @@ -330,6 +335,744 @@ const int16_t basic_data::pow10_exponents[] = { 534, 561, 588, 614, 641, 667, 694, 720, 747, 774, 800, 827, 853, 880, 907, 933, 960, 986, 1013, 1039, 1066}; +template +const divtest_table_entry basic_data::divtest_table_for_pow5_32[] = + {{0x00000001, 0xffffffff}, {0xcccccccd, 0x33333333}, + {0xc28f5c29, 0x0a3d70a3}, {0x26e978d5, 0x020c49ba}, + {0x3afb7e91, 0x0068db8b}, {0x0bcbe61d, 0x0014f8b5}, + {0x68c26139, 0x000431bd}, {0xae8d46a5, 0x0000d6bf}, + {0x22e90e21, 0x00002af3}, {0x3a2e9c6d, 0x00000897}, + {0x3ed61f49, 0x000001b7}}; + +template +const divtest_table_entry basic_data::divtest_table_for_pow5_64[] = + {{0x0000000000000001, 0xffffffffffffffff}, + {0xcccccccccccccccd, 0x3333333333333333}, + {0x8f5c28f5c28f5c29, 0x0a3d70a3d70a3d70}, + {0x1cac083126e978d5, 0x020c49ba5e353f7c}, + {0xd288ce703afb7e91, 0x0068db8bac710cb2}, + {0x5d4e8fb00bcbe61d, 0x0014f8b588e368f0}, + {0x790fb65668c26139, 0x000431bde82d7b63}, + {0xe5032477ae8d46a5, 0x0000d6bf94d5e57a}, + {0xc767074b22e90e21, 0x00002af31dc46118}, + {0x8e47ce423a2e9c6d, 0x0000089705f4136b}, + {0x4fa7f60d3ed61f49, 0x000001b7cdfd9d7b}, + {0x0fee64690c913975, 0x00000057f5ff85e5}, + {0x3662e0e1cf503eb1, 0x000000119799812d}, + {0xa47a2cf9f6433fbd, 0x0000000384b84d09}, + {0x54186f653140a659, 0x00000000b424dc35}, + {0x7738164770402145, 0x0000000024075f3d}, + {0xe4a4d1417cd9a041, 0x000000000734aca5}, + {0xc75429d9e5c5200d, 0x000000000170ef54}, + {0xc1773b91fac10669, 0x000000000049c977}, + {0x26b172506559ce15, 0x00000000000ec1e4}, + {0xd489e3a9addec2d1, 0x000000000002f394}, + {0x90e860bb892c8d5d, 0x000000000000971d}, + {0x502e79bf1b6f4f79, 0x0000000000001e39}, + {0xdcd618596be30fe5, 0x000000000000060b}}; + +template +const uint64_t basic_data::dragonbox_pow10_significands_64[] = { + 0x81ceb32c4b43fcf5, 0xa2425ff75e14fc32, 0xcad2f7f5359a3b3f, + 0xfd87b5f28300ca0e, 0x9e74d1b791e07e49, 0xc612062576589ddb, + 0xf79687aed3eec552, 0x9abe14cd44753b53, 0xc16d9a0095928a28, + 0xf1c90080baf72cb2, 0x971da05074da7bef, 0xbce5086492111aeb, + 0xec1e4a7db69561a6, 0x9392ee8e921d5d08, 0xb877aa3236a4b44a, + 0xe69594bec44de15c, 0x901d7cf73ab0acda, 0xb424dc35095cd810, + 0xe12e13424bb40e14, 0x8cbccc096f5088cc, 0xafebff0bcb24aaff, + 0xdbe6fecebdedd5bf, 0x89705f4136b4a598, 0xabcc77118461cefd, + 0xd6bf94d5e57a42bd, 0x8637bd05af6c69b6, 0xa7c5ac471b478424, + 0xd1b71758e219652c, 0x83126e978d4fdf3c, 0xa3d70a3d70a3d70b, + 0xcccccccccccccccd, 0x8000000000000000, 0xa000000000000000, + 0xc800000000000000, 0xfa00000000000000, 0x9c40000000000000, + 0xc350000000000000, 0xf424000000000000, 0x9896800000000000, + 0xbebc200000000000, 0xee6b280000000000, 0x9502f90000000000, + 0xba43b74000000000, 0xe8d4a51000000000, 0x9184e72a00000000, + 0xb5e620f480000000, 0xe35fa931a0000000, 0x8e1bc9bf04000000, + 0xb1a2bc2ec5000000, 0xde0b6b3a76400000, 0x8ac7230489e80000, + 0xad78ebc5ac620000, 0xd8d726b7177a8000, 0x878678326eac9000, + 0xa968163f0a57b400, 0xd3c21bcecceda100, 0x84595161401484a0, + 0xa56fa5b99019a5c8, 0xcecb8f27f4200f3a, 0x813f3978f8940984, + 0xa18f07d736b90be5, 0xc9f2c9cd04674ede, 0xfc6f7c4045812296, + 0x9dc5ada82b70b59d, 0xc5371912364ce305, 0xf684df56c3e01bc6, + 0x9a130b963a6c115c, 0xc097ce7bc90715b3, 0xf0bdc21abb48db20, + 0x96769950b50d88f4, 0xbc143fa4e250eb31, 0xeb194f8e1ae525fd, + 0x92efd1b8d0cf37be, 0xb7abc627050305ad, 0xe596b7b0c643c719, + 0x8f7e32ce7bea5c6f, 0xb35dbf821ae4f38b, 0xe0352f62a19e306e}; + +template +const uint128_wrapper basic_data::dragonbox_pow10_significands_128[] = { +#if FMT_USE_FULL_CACHE_DRAGONBOX + {0xff77b1fcbebcdc4f, 0x25e8e89c13bb0f7b}, + {0x9faacf3df73609b1, 0x77b191618c54e9ad}, + {0xc795830d75038c1d, 0xd59df5b9ef6a2418}, + {0xf97ae3d0d2446f25, 0x4b0573286b44ad1e}, + {0x9becce62836ac577, 0x4ee367f9430aec33}, + {0xc2e801fb244576d5, 0x229c41f793cda740}, + {0xf3a20279ed56d48a, 0x6b43527578c11110}, + {0x9845418c345644d6, 0x830a13896b78aaaa}, + {0xbe5691ef416bd60c, 0x23cc986bc656d554}, + {0xedec366b11c6cb8f, 0x2cbfbe86b7ec8aa9}, + {0x94b3a202eb1c3f39, 0x7bf7d71432f3d6aa}, + {0xb9e08a83a5e34f07, 0xdaf5ccd93fb0cc54}, + {0xe858ad248f5c22c9, 0xd1b3400f8f9cff69}, + {0x91376c36d99995be, 0x23100809b9c21fa2}, + {0xb58547448ffffb2d, 0xabd40a0c2832a78b}, + {0xe2e69915b3fff9f9, 0x16c90c8f323f516d}, + {0x8dd01fad907ffc3b, 0xae3da7d97f6792e4}, + {0xb1442798f49ffb4a, 0x99cd11cfdf41779d}, + {0xdd95317f31c7fa1d, 0x40405643d711d584}, + {0x8a7d3eef7f1cfc52, 0x482835ea666b2573}, + {0xad1c8eab5ee43b66, 0xda3243650005eed0}, + {0xd863b256369d4a40, 0x90bed43e40076a83}, + {0x873e4f75e2224e68, 0x5a7744a6e804a292}, + {0xa90de3535aaae202, 0x711515d0a205cb37}, + {0xd3515c2831559a83, 0x0d5a5b44ca873e04}, + {0x8412d9991ed58091, 0xe858790afe9486c3}, + {0xa5178fff668ae0b6, 0x626e974dbe39a873}, + {0xce5d73ff402d98e3, 0xfb0a3d212dc81290}, + {0x80fa687f881c7f8e, 0x7ce66634bc9d0b9a}, + {0xa139029f6a239f72, 0x1c1fffc1ebc44e81}, + {0xc987434744ac874e, 0xa327ffb266b56221}, + {0xfbe9141915d7a922, 0x4bf1ff9f0062baa9}, + {0x9d71ac8fada6c9b5, 0x6f773fc3603db4aa}, + {0xc4ce17b399107c22, 0xcb550fb4384d21d4}, + {0xf6019da07f549b2b, 0x7e2a53a146606a49}, + {0x99c102844f94e0fb, 0x2eda7444cbfc426e}, + {0xc0314325637a1939, 0xfa911155fefb5309}, + {0xf03d93eebc589f88, 0x793555ab7eba27cb}, + {0x96267c7535b763b5, 0x4bc1558b2f3458df}, + {0xbbb01b9283253ca2, 0x9eb1aaedfb016f17}, + {0xea9c227723ee8bcb, 0x465e15a979c1cadd}, + {0x92a1958a7675175f, 0x0bfacd89ec191eca}, + {0xb749faed14125d36, 0xcef980ec671f667c}, + {0xe51c79a85916f484, 0x82b7e12780e7401b}, + {0x8f31cc0937ae58d2, 0xd1b2ecb8b0908811}, + {0xb2fe3f0b8599ef07, 0x861fa7e6dcb4aa16}, + {0xdfbdcece67006ac9, 0x67a791e093e1d49b}, + {0x8bd6a141006042bd, 0xe0c8bb2c5c6d24e1}, + {0xaecc49914078536d, 0x58fae9f773886e19}, + {0xda7f5bf590966848, 0xaf39a475506a899f}, + {0x888f99797a5e012d, 0x6d8406c952429604}, + {0xaab37fd7d8f58178, 0xc8e5087ba6d33b84}, + {0xd5605fcdcf32e1d6, 0xfb1e4a9a90880a65}, + {0x855c3be0a17fcd26, 0x5cf2eea09a550680}, + {0xa6b34ad8c9dfc06f, 0xf42faa48c0ea481f}, + {0xd0601d8efc57b08b, 0xf13b94daf124da27}, + {0x823c12795db6ce57, 0x76c53d08d6b70859}, + {0xa2cb1717b52481ed, 0x54768c4b0c64ca6f}, + {0xcb7ddcdda26da268, 0xa9942f5dcf7dfd0a}, + {0xfe5d54150b090b02, 0xd3f93b35435d7c4d}, + {0x9efa548d26e5a6e1, 0xc47bc5014a1a6db0}, + {0xc6b8e9b0709f109a, 0x359ab6419ca1091c}, + {0xf867241c8cc6d4c0, 0xc30163d203c94b63}, + {0x9b407691d7fc44f8, 0x79e0de63425dcf1e}, + {0xc21094364dfb5636, 0x985915fc12f542e5}, + {0xf294b943e17a2bc4, 0x3e6f5b7b17b2939e}, + {0x979cf3ca6cec5b5a, 0xa705992ceecf9c43}, + {0xbd8430bd08277231, 0x50c6ff782a838354}, + {0xece53cec4a314ebd, 0xa4f8bf5635246429}, + {0x940f4613ae5ed136, 0x871b7795e136be9a}, + {0xb913179899f68584, 0x28e2557b59846e40}, + {0xe757dd7ec07426e5, 0x331aeada2fe589d0}, + {0x9096ea6f3848984f, 0x3ff0d2c85def7622}, + {0xb4bca50b065abe63, 0x0fed077a756b53aa}, + {0xe1ebce4dc7f16dfb, 0xd3e8495912c62895}, + {0x8d3360f09cf6e4bd, 0x64712dd7abbbd95d}, + {0xb080392cc4349dec, 0xbd8d794d96aacfb4}, + {0xdca04777f541c567, 0xecf0d7a0fc5583a1}, + {0x89e42caaf9491b60, 0xf41686c49db57245}, + {0xac5d37d5b79b6239, 0x311c2875c522ced6}, + {0xd77485cb25823ac7, 0x7d633293366b828c}, + {0x86a8d39ef77164bc, 0xae5dff9c02033198}, + {0xa8530886b54dbdeb, 0xd9f57f830283fdfd}, + {0xd267caa862a12d66, 0xd072df63c324fd7c}, + {0x8380dea93da4bc60, 0x4247cb9e59f71e6e}, + {0xa46116538d0deb78, 0x52d9be85f074e609}, + {0xcd795be870516656, 0x67902e276c921f8c}, + {0x806bd9714632dff6, 0x00ba1cd8a3db53b7}, + {0xa086cfcd97bf97f3, 0x80e8a40eccd228a5}, + {0xc8a883c0fdaf7df0, 0x6122cd128006b2ce}, + {0xfad2a4b13d1b5d6c, 0x796b805720085f82}, + {0x9cc3a6eec6311a63, 0xcbe3303674053bb1}, + {0xc3f490aa77bd60fc, 0xbedbfc4411068a9d}, + {0xf4f1b4d515acb93b, 0xee92fb5515482d45}, + {0x991711052d8bf3c5, 0x751bdd152d4d1c4b}, + {0xbf5cd54678eef0b6, 0xd262d45a78a0635e}, + {0xef340a98172aace4, 0x86fb897116c87c35}, + {0x9580869f0e7aac0e, 0xd45d35e6ae3d4da1}, + {0xbae0a846d2195712, 0x8974836059cca10a}, + {0xe998d258869facd7, 0x2bd1a438703fc94c}, + {0x91ff83775423cc06, 0x7b6306a34627ddd0}, + {0xb67f6455292cbf08, 0x1a3bc84c17b1d543}, + {0xe41f3d6a7377eeca, 0x20caba5f1d9e4a94}, + {0x8e938662882af53e, 0x547eb47b7282ee9d}, + {0xb23867fb2a35b28d, 0xe99e619a4f23aa44}, + {0xdec681f9f4c31f31, 0x6405fa00e2ec94d5}, + {0x8b3c113c38f9f37e, 0xde83bc408dd3dd05}, + {0xae0b158b4738705e, 0x9624ab50b148d446}, + {0xd98ddaee19068c76, 0x3badd624dd9b0958}, + {0x87f8a8d4cfa417c9, 0xe54ca5d70a80e5d7}, + {0xa9f6d30a038d1dbc, 0x5e9fcf4ccd211f4d}, + {0xd47487cc8470652b, 0x7647c32000696720}, + {0x84c8d4dfd2c63f3b, 0x29ecd9f40041e074}, + {0xa5fb0a17c777cf09, 0xf468107100525891}, + {0xcf79cc9db955c2cc, 0x7182148d4066eeb5}, + {0x81ac1fe293d599bf, 0xc6f14cd848405531}, + {0xa21727db38cb002f, 0xb8ada00e5a506a7d}, + {0xca9cf1d206fdc03b, 0xa6d90811f0e4851d}, + {0xfd442e4688bd304a, 0x908f4a166d1da664}, + {0x9e4a9cec15763e2e, 0x9a598e4e043287ff}, + {0xc5dd44271ad3cdba, 0x40eff1e1853f29fe}, + {0xf7549530e188c128, 0xd12bee59e68ef47d}, + {0x9a94dd3e8cf578b9, 0x82bb74f8301958cf}, + {0xc13a148e3032d6e7, 0xe36a52363c1faf02}, + {0xf18899b1bc3f8ca1, 0xdc44e6c3cb279ac2}, + {0x96f5600f15a7b7e5, 0x29ab103a5ef8c0ba}, + {0xbcb2b812db11a5de, 0x7415d448f6b6f0e8}, + {0xebdf661791d60f56, 0x111b495b3464ad22}, + {0x936b9fcebb25c995, 0xcab10dd900beec35}, + {0xb84687c269ef3bfb, 0x3d5d514f40eea743}, + {0xe65829b3046b0afa, 0x0cb4a5a3112a5113}, + {0x8ff71a0fe2c2e6dc, 0x47f0e785eaba72ac}, + {0xb3f4e093db73a093, 0x59ed216765690f57}, + {0xe0f218b8d25088b8, 0x306869c13ec3532d}, + {0x8c974f7383725573, 0x1e414218c73a13fc}, + {0xafbd2350644eeacf, 0xe5d1929ef90898fb}, + {0xdbac6c247d62a583, 0xdf45f746b74abf3a}, + {0x894bc396ce5da772, 0x6b8bba8c328eb784}, + {0xab9eb47c81f5114f, 0x066ea92f3f326565}, + {0xd686619ba27255a2, 0xc80a537b0efefebe}, + {0x8613fd0145877585, 0xbd06742ce95f5f37}, + {0xa798fc4196e952e7, 0x2c48113823b73705}, + {0xd17f3b51fca3a7a0, 0xf75a15862ca504c6}, + {0x82ef85133de648c4, 0x9a984d73dbe722fc}, + {0xa3ab66580d5fdaf5, 0xc13e60d0d2e0ebbb}, + {0xcc963fee10b7d1b3, 0x318df905079926a9}, + {0xffbbcfe994e5c61f, 0xfdf17746497f7053}, + {0x9fd561f1fd0f9bd3, 0xfeb6ea8bedefa634}, + {0xc7caba6e7c5382c8, 0xfe64a52ee96b8fc1}, + {0xf9bd690a1b68637b, 0x3dfdce7aa3c673b1}, + {0x9c1661a651213e2d, 0x06bea10ca65c084f}, + {0xc31bfa0fe5698db8, 0x486e494fcff30a63}, + {0xf3e2f893dec3f126, 0x5a89dba3c3efccfb}, + {0x986ddb5c6b3a76b7, 0xf89629465a75e01d}, + {0xbe89523386091465, 0xf6bbb397f1135824}, + {0xee2ba6c0678b597f, 0x746aa07ded582e2d}, + {0x94db483840b717ef, 0xa8c2a44eb4571cdd}, + {0xba121a4650e4ddeb, 0x92f34d62616ce414}, + {0xe896a0d7e51e1566, 0x77b020baf9c81d18}, + {0x915e2486ef32cd60, 0x0ace1474dc1d122f}, + {0xb5b5ada8aaff80b8, 0x0d819992132456bb}, + {0xe3231912d5bf60e6, 0x10e1fff697ed6c6a}, + {0x8df5efabc5979c8f, 0xca8d3ffa1ef463c2}, + {0xb1736b96b6fd83b3, 0xbd308ff8a6b17cb3}, + {0xddd0467c64bce4a0, 0xac7cb3f6d05ddbdf}, + {0x8aa22c0dbef60ee4, 0x6bcdf07a423aa96c}, + {0xad4ab7112eb3929d, 0x86c16c98d2c953c7}, + {0xd89d64d57a607744, 0xe871c7bf077ba8b8}, + {0x87625f056c7c4a8b, 0x11471cd764ad4973}, + {0xa93af6c6c79b5d2d, 0xd598e40d3dd89bd0}, + {0xd389b47879823479, 0x4aff1d108d4ec2c4}, + {0x843610cb4bf160cb, 0xcedf722a585139bb}, + {0xa54394fe1eedb8fe, 0xc2974eb4ee658829}, + {0xce947a3da6a9273e, 0x733d226229feea33}, + {0x811ccc668829b887, 0x0806357d5a3f5260}, + {0xa163ff802a3426a8, 0xca07c2dcb0cf26f8}, + {0xc9bcff6034c13052, 0xfc89b393dd02f0b6}, + {0xfc2c3f3841f17c67, 0xbbac2078d443ace3}, + {0x9d9ba7832936edc0, 0xd54b944b84aa4c0e}, + {0xc5029163f384a931, 0x0a9e795e65d4df12}, + {0xf64335bcf065d37d, 0x4d4617b5ff4a16d6}, + {0x99ea0196163fa42e, 0x504bced1bf8e4e46}, + {0xc06481fb9bcf8d39, 0xe45ec2862f71e1d7}, + {0xf07da27a82c37088, 0x5d767327bb4e5a4d}, + {0x964e858c91ba2655, 0x3a6a07f8d510f870}, + {0xbbe226efb628afea, 0x890489f70a55368c}, + {0xeadab0aba3b2dbe5, 0x2b45ac74ccea842f}, + {0x92c8ae6b464fc96f, 0x3b0b8bc90012929e}, + {0xb77ada0617e3bbcb, 0x09ce6ebb40173745}, + {0xe55990879ddcaabd, 0xcc420a6a101d0516}, + {0x8f57fa54c2a9eab6, 0x9fa946824a12232e}, + {0xb32df8e9f3546564, 0x47939822dc96abfa}, + {0xdff9772470297ebd, 0x59787e2b93bc56f8}, + {0x8bfbea76c619ef36, 0x57eb4edb3c55b65b}, + {0xaefae51477a06b03, 0xede622920b6b23f2}, + {0xdab99e59958885c4, 0xe95fab368e45ecee}, + {0x88b402f7fd75539b, 0x11dbcb0218ebb415}, + {0xaae103b5fcd2a881, 0xd652bdc29f26a11a}, + {0xd59944a37c0752a2, 0x4be76d3346f04960}, + {0x857fcae62d8493a5, 0x6f70a4400c562ddc}, + {0xa6dfbd9fb8e5b88e, 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0xf4296dd6fef3d67a}, + {0x8ce2529e2734bb1d, 0x1899e4a65f58660c}, + {0xb01ae745b101e9e4, 0x5ec05dcff72e7f8f}, + {0xdc21a1171d42645d, 0x76707543f4fa1f73}, + {0x899504ae72497eba, 0x6a06494a791c53a8}, + {0xabfa45da0edbde69, 0x0487db9d17636892}, + {0xd6f8d7509292d603, 0x45a9d2845d3c42b6}, + {0x865b86925b9bc5c2, 0x0b8a2392ba45a9b2}, + {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}, + 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0x3a0888136afa64a7}, + {0xc56baec21c7a1916, 0x088aaa1845b8fdd0}, + {0xf6c69a72a3989f5b, 0x8aad549e57273d45}, + {0x9a3c2087a63f6399, 0x36ac54e2f678864b}, + {0xc0cb28a98fcf3c7f, 0x84576a1bb416a7dd}, + {0xf0fdf2d3f3c30b9f, 0x656d44a2a11c51d5}, + {0x969eb7c47859e743, 0x9f644ae5a4b1b325}, + {0xbc4665b596706114, 0x873d5d9f0dde1fee}, + {0xeb57ff22fc0c7959, 0xa90cb506d155a7ea}, + {0x9316ff75dd87cbd8, 0x09a7f12442d588f2}, + {0xb7dcbf5354e9bece, 0x0c11ed6d538aeb2f}, + {0xe5d3ef282a242e81, 0x8f1668c8a86da5fa}, + {0x8fa475791a569d10, 0xf96e017d694487bc}, + {0xb38d92d760ec4455, 0x37c981dcc395a9ac}, + {0xe070f78d3927556a, 0x85bbe253f47b1417}, + {0x8c469ab843b89562, 0x93956d7478ccec8e}, + {0xaf58416654a6babb, 0x387ac8d1970027b2}, + {0xdb2e51bfe9d0696a, 0x06997b05fcc0319e}, + {0x88fcf317f22241e2, 0x441fece3bdf81f03}, + {0xab3c2fddeeaad25a, 0xd527e81cad7626c3}, + {0xd60b3bd56a5586f1, 0x8a71e223d8d3b074}, + {0x85c7056562757456, 0xf6872d5667844e49}, + {0xa738c6bebb12d16c, 0xb428f8ac016561db}, + {0xd106f86e69d785c7, 0xe13336d701beba52}, + {0x82a45b450226b39c, 0xecc0024661173473}, + {0xa34d721642b06084, 0x27f002d7f95d0190}, + {0xcc20ce9bd35c78a5, 0x31ec038df7b441f4}, + {0xff290242c83396ce, 0x7e67047175a15271}, + {0x9f79a169bd203e41, 0x0f0062c6e984d386}, + {0xc75809c42c684dd1, 0x52c07b78a3e60868}, + {0xf92e0c3537826145, 0xa7709a56ccdf8a82}, + {0x9bbcc7a142b17ccb, 0x88a66076400bb691}, + {0xc2abf989935ddbfe, 0x6acff893d00ea435}, + {0xf356f7ebf83552fe, 0x0583f6b8c4124d43}, + {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, 0x0fabaf3feaa5334a}, + {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, 0x0cc512670a783ad4}, + {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, 0x0a862f80ec4700c8}, + {0xf4a642e14c6262c8, 0xcd27bb612758c0fa}, + {0x98e7e9cccfbd7dbd, 0x8038d51cb897789c}, + {0xbf21e44003acdd2c, 0xe0470a63e6bd56c3}, + {0xeeea5d5004981478, 0x1858ccfce06cac74}, + {0x95527a5202df0ccb, 0x0f37801e0c43ebc8}, + {0xbaa718e68396cffd, 0xd30560258f54e6ba}, + {0xe950df20247c83fd, 0x47c6b82ef32a2069}, + {0x91d28b7416cdd27e, 0x4cdc331d57fa5441}, + {0xb6472e511c81471d, 0xe0133fe4adf8e952}, + {0xe3d8f9e563a198e5, 0x58180fddd97723a6}, + {0x8e679c2f5e44ff8f, 0x570f09eaa7ea7648}, + {0xb201833b35d63f73, 0x2cd2cc6551e513da}, + {0xde81e40a034bcf4f, 0xf8077f7ea65e58d1}, + {0x8b112e86420f6191, 0xfb04afaf27faf782}, + {0xadd57a27d29339f6, 0x79c5db9af1f9b563}, + {0xd94ad8b1c7380874, 0x18375281ae7822bc}, + {0x87cec76f1c830548, 0x8f2293910d0b15b5}, + {0xa9c2794ae3a3c69a, 0xb2eb3875504ddb22}, + {0xd433179d9c8cb841, 0x5fa60692a46151eb}, + {0x849feec281d7f328, 0xdbc7c41ba6bcd333}, + {0xa5c7ea73224deff3, 0x12b9b522906c0800}, + {0xcf39e50feae16bef, 0xd768226b34870a00}, + {0x81842f29f2cce375, 0xe6a1158300d46640}, + {0xa1e53af46f801c53, 0x60495ae3c1097fd0}, + {0xca5e89b18b602368, 0x385bb19cb14bdfc4}, + {0xfcf62c1dee382c42, 0x46729e03dd9ed7b5}, + {0x9e19db92b4e31ba9, 0x6c07a2c26a8346d1}, + {0xc5a05277621be293, 0xc7098b7305241885}, + {0xf70867153aa2db38, 0xb8cbee4fc66d1ea7} +#else + {0xff77b1fcbebcdc4f, 0x25e8e89c13bb0f7b}, + {0xce5d73ff402d98e3, 0xfb0a3d212dc81290}, + {0xa6b34ad8c9dfc06f, 0xf42faa48c0ea481f}, + {0x86a8d39ef77164bc, 0xae5dff9c02033198}, + {0xd98ddaee19068c76, 0x3badd624dd9b0958}, + {0xafbd2350644eeacf, 0xe5d1929ef90898fb}, + {0x8df5efabc5979c8f, 0xca8d3ffa1ef463c2}, + {0xe55990879ddcaabd, 0xcc420a6a101d0516}, + {0xb94470938fa89bce, 0xf808e40e8d5b3e6a}, + {0x95a8637627989aad, 0xdde7001379a44aa9}, + {0xf1c90080baf72cb1, 0x5324c68b12dd6339}, + {0xc350000000000000, 0x0000000000000000}, + {0x9dc5ada82b70b59d, 0xf020000000000000}, + {0xfee50b7025c36a08, 0x02f236d04753d5b4}, + {0xcde6fd5e09abcf26, 0xed4c0226b55e6f86}, + {0xa6539930bf6bff45, 0x84db8346b786151c}, + {0x865b86925b9bc5c2, 0x0b8a2392ba45a9b2}, + {0xd910f7ff28069da4, 0x1b2ba1518094da04}, + {0xaf58416654a6babb, 0x387ac8d1970027b2}, + {0x8da471a9de737e24, 0x5ceaecfed289e5d2}, + {0xe4d5e82392a40515, 0x0fabaf3feaa5334a}, + {0xb8da1662e7b00a17, 0x3d6a751f3b936243}, + {0x95527a5202df0ccb, 0x0f37801e0c43ebc8} +#endif +}; + +#if !FMT_USE_FULL_CACHE_DRAGONBOX +template +const uint64_t basic_data::powers_of_5_64[] = { + 0x0000000000000001, 0x0000000000000005, 0x0000000000000019, + 0x000000000000007d, 0x0000000000000271, 0x0000000000000c35, + 0x0000000000003d09, 0x000000000001312d, 0x000000000005f5e1, + 0x00000000001dcd65, 0x00000000009502f9, 0x0000000002e90edd, + 0x000000000e8d4a51, 0x0000000048c27395, 0x000000016bcc41e9, + 0x000000071afd498d, 0x0000002386f26fc1, 0x000000b1a2bc2ec5, + 0x000003782dace9d9, 0x00001158e460913d, 0x000056bc75e2d631, + 0x0001b1ae4d6e2ef5, 0x000878678326eac9, 0x002a5a058fc295ed, + 0x00d3c21bcecceda1, 0x0422ca8b0a00a425, 0x14adf4b7320334b9}; + +template +const uint32_t basic_data::dragonbox_pow10_recovery_errors[] = { + 0x50001400, 0x54044100, 0x54014555, 0x55954415, 0x54115555, 0x00000001, + 0x50000000, 0x00104000, 0x54010004, 0x05004001, 0x55555544, 0x41545555, + 0x54040551, 0x15445545, 0x51555514, 0x10000015, 0x00101100, 0x01100015, + 0x00000000, 0x00000000, 0x00000000, 0x00000000, 0x04450514, 0x45414110, + 0x55555145, 0x50544050, 0x15040155, 0x11054140, 0x50111514, 0x11451454, + 0x00400541, 0x00000000, 0x55555450, 0x10056551, 0x10054011, 0x55551014, + 0x69514555, 0x05151109, 0x00155555}; +#endif + template const char basic_data::foreground_color[] = "\x1b[38;2;"; template @@ -504,7 +1247,8 @@ inline fp get_cached_power(int min_exponent, int& pow10_exponent) { const int dec_exp_step = 8; index = (index - first_dec_exp - 1) / dec_exp_step + 1; pow10_exponent = first_dec_exp + index * dec_exp_step; - return {data::pow10_significands[index], data::pow10_exponents[index]}; + return {data::grisu_pow10_significands[index], + data::grisu_pow10_exponents[index]}; } // A simple accumulator to hold the sums of terms in bigint::square if uint128_t @@ -986,6 +1730,808 @@ struct grisu_shortest_handler { } }; +// Implementation of Dragonbox algorithm +// (https://github.com/jk-jeon/dragonbox) +namespace dragonbox { +// Gets 128-bit result of multiplication of two 64-bit unsigned integers +FMT_SAFEBUFFERS inline uint128_wrapper umul128(uint64_t x, + uint64_t y) FMT_NOEXCEPT { +#if FMT_USE_INT128 + return static_cast(x) * static_cast(y); +#elif defined(_MSC_VER) && defined(_M_X64) + uint128_wrapper result; + result.low_ = _umul128(x, y, &result.high_); + return result; +#else + const uint64_t mask = (uint64_t(1) << 32) - uint64_t(1); + + uint64_t a = x >> 32; + uint64_t b = x & mask; + uint64_t c = y >> 32; + uint64_t d = y & mask; + + uint64_t ac = a * c; + uint64_t bc = b * c; + uint64_t ad = a * d; + uint64_t bd = b * d; + + uint64_t intermediate = (bd >> 32) + (ad & mask) + (bc & mask); + + return {ac + (intermediate >> 32) + (ad >> 32) + (bc >> 32), + (intermediate << 32) + (bd & mask)}; +#endif +} + +// Gets upper 64-bits of multiplication of a 64-bit unsigned integer and a +// 64-bit unsigned integer +FMT_SAFEBUFFERS inline uint64_t umul128_upper64(uint64_t x, + uint64_t y) FMT_NOEXCEPT { +#if FMT_USE_INT128 + auto p = static_cast(x) * static_cast(y); + return static_cast(p >> 64); +#elif defined(_MSC_VER) && defined(_M_X64) + return __umulh(x, y); +#else + const uint64_t mask = (1ull << 32) - 1ull; + + uint64_t a = x >> 32; + uint64_t b = x & mask; + uint64_t c = y >> 32; + uint64_t d = y & mask; + + uint64_t ac = a * c; + uint64_t bc = b * c; + uint64_t ad = a * d; + uint64_t bd = b * d; + + uint64_t intermediate = (bd >> 32) + (ad & mask) + (bc & mask); + + return ac + (intermediate >> 32) + (ad >> 32) + (bc >> 32); +#endif +} + +// Gets upper 64-bits of multiplication of a 64-bit unsigned integer and a +// 128-bit unsigned integer +FMT_SAFEBUFFERS inline uint64_t umul192_upper64(uint64_t x, uint128_wrapper y) + FMT_NOEXCEPT { + uint128_wrapper g0 = umul128(x, y.high()); + g0 += umul128_upper64(x, y.low()); + return g0.high(); +} + +// Gets upper 32-bits of multiplication of a 32-bit unsigned integer and a +// 64-bit unsigned integer +inline uint32_t umul96_upper32(uint32_t x, uint64_t y) FMT_NOEXCEPT { + return static_cast(umul128_upper64(x, y)); +} + +// Gets middle 64-bits of multiplication of a 64-bit unsigned integer and a +// 128-bit unsigned integer +FMT_SAFEBUFFERS inline uint64_t umul192_middle64(uint64_t x, uint128_wrapper y) + FMT_NOEXCEPT { + uint64_t g01 = x * y.high(); + uint64_t g10 = umul128_upper64(x, y.low()); + return g01 + g10; +} + +// Get middle 32-bits of multiplication of a 32-bit unsigned integer and a +// 64-bit unsigned integer +inline uint64_t umul96_lower64(uint32_t x, uint64_t y) FMT_NOEXCEPT { + return x * y; +} + +// Various fast log computations +inline int floor_log10_pow2(int e) FMT_NOEXCEPT { + FMT_ASSERT(e <= 1700 && e >= -1700, "too large exponent"); + const uint64_t log10_2_fractional_digits = 0x4d104d427de7fbcc; + const int shift_amount = 22; + return (e * + static_cast(log10_2_fractional_digits >> (64 - shift_amount))) >> + shift_amount; +} +inline int floor_log2_pow10(int e) FMT_NOEXCEPT { + FMT_ASSERT(e <= 1233 && e >= -1233, "too large exponent"); + const uint64_t log2_10_integer_part = 3; + const uint64_t log2_10_fractional_digits = 0x5269e12f346e2bf9; + const int shift_amount = 19; + return (e * static_cast( + (log2_10_integer_part << shift_amount) | + (log2_10_fractional_digits >> (64 - shift_amount)))) >> + shift_amount; +} +inline int floor_log10_pow2_minus_log10_4_over_3(int e) FMT_NOEXCEPT { + FMT_ASSERT(e <= 1700 && e >= -1700, "too large exponent"); + const uint64_t log10_2_fractional_digits = 0x4d104d427de7fbcc; + const uint64_t log10_4_over_3_fractional_digits = 0x1ffbfc2bbc780375; + const int shift_amount = 22; + return (e * static_cast(log10_2_fractional_digits >> + (64 - shift_amount)) - + static_cast(log10_4_over_3_fractional_digits >> + (64 - shift_amount))) >> + shift_amount; +} + +// Type-specific information that Dragonbox uses +template struct float_info; + +template <> struct float_info { + using carrier_uint = uint32_t; + static const int significand_bits = 23; + static const int exponent_bits = 8; + static const int min_exponent = -126; + static const int max_exponent = 127; + static const int exponent_bias = -127; + static const int decimal_digits = 9; + static const int kappa = 1; + static const int big_divisor = 100; + static const int small_divisor = 10; + static const int min_k = -31; + static const int max_k = 46; + static const int cache_bits = 64; + static const int divisibility_check_by_5_threshold = 39; + static const int case_fc_pm_half_lower_threshold = -1; + static const int case_fc_pm_half_upper_threshold = 6; + static const int case_fc_lower_threshold = -2; + static const int case_fc_upper_threshold = 6; + static const int case_shorter_interval_left_endpoint_lower_threshold = 2; + static const int case_shorter_interval_left_endpoint_upper_threshold = 3; + static const int shorter_interval_case_tie_lower_threshold = -35; + static const int shorter_interval_case_tie_upper_threshold = -35; + static const int max_trailing_zeros = 7; +}; + +template <> struct float_info { + using carrier_uint = uint64_t; + static const int significand_bits = 52; + static const int exponent_bits = 11; + static const int min_exponent = -1022; + static const int max_exponent = 1023; + static const int exponent_bias = -1023; + static const int decimal_digits = 17; + static const int kappa = 2; + static const int big_divisor = 1000; + static const int small_divisor = 100; + static const int min_k = -292; + static const int max_k = 326; + static const int cache_bits = 128; + static const int divisibility_check_by_5_threshold = 86; + static const int case_fc_pm_half_lower_threshold = -2; + static const int case_fc_pm_half_upper_threshold = 9; + static const int case_fc_lower_threshold = -4; + static const int case_fc_upper_threshold = 9; + static const int case_shorter_interval_left_endpoint_lower_threshold = 2; + static const int case_shorter_interval_left_endpoint_upper_threshold = 3; + static const int shorter_interval_case_tie_lower_threshold = -77; + static const int shorter_interval_case_tie_upper_threshold = -77; + static const int max_trailing_zeros = 16; +}; + +template struct decimal_fp { + using significand_type = typename float_info::carrier_uint; + significand_type significand; + int exponent; +}; + +// Fast divisibility test for powers of 2 (float) +inline bool divisible_by_power_of_2(uint32_t x, int exp) FMT_NOEXCEPT { + FMT_ASSERT(exp >= 1, ""); + FMT_ASSERT(x != 0, ""); +#ifdef FMT_BUILTIN_CTZ + return FMT_BUILTIN_CTZ(x) >= exp; +#else + if (exp >= num_bits()) { + return false; + } + return x == ((x >> exp) << exp); +#endif +} +// Fast divisibility test for powers of 2 (double) +inline bool divisible_by_power_of_2(uint64_t x, int exp) FMT_NOEXCEPT { + FMT_ASSERT(exp >= 1, ""); + FMT_ASSERT(x != 0, ""); +#ifdef FMT_BUILTIN_CTZLL + return FMT_BUILTIN_CTZLL(x) >= exp; +#else + if (exp >= num_bits()) { + return false; + } + return x == ((x >> exp) << exp); +#endif +} + +// Fast divisibility test for powers of 5 (float) +inline bool divisible_by_power_of_5(uint32_t x, int exp) FMT_NOEXCEPT { + FMT_ASSERT(exp <= 10, "too large exponent"); + return (x * data::divtest_table_for_pow5_32[exp].mod_inv) <= + data::divtest_table_for_pow5_32[exp].max_quotient; +} +// Fast divisibility test for powers of 5 (double) +inline bool divisible_by_power_of_5(uint64_t x, int exp) FMT_NOEXCEPT { + FMT_ASSERT(exp <= 23, "too large exponent"); + return (x * data::divtest_table_for_pow5_64[exp].mod_inv) <= + data::divtest_table_for_pow5_64[exp].max_quotient; +} + +// Replaces n by floor(n / 5^N) +// Returns true if and only if n is divisible by 5^N +// Precondition: n <= 2 * 5^(N+1) +template struct check_divisibility_and_divide_by_pow5_info; + +template <> struct check_divisibility_and_divide_by_pow5_info<1> { + static const uint32_t magic_number = 0xcccd; + static const int bits_for_comparison = 16; + static const uint32_t threshold = 0x3333; + static const int shift_amount = 18; +}; + +template <> struct check_divisibility_and_divide_by_pow5_info<2> { + static const uint32_t magic_number = 0xa429; + static const int bits_for_comparison = 8; + static const uint32_t threshold = 0x0a; + static const int shift_amount = 20; +}; + +template +bool check_divisibility_and_divide_by_pow5(uint32_t& n) FMT_NOEXCEPT { + using info = check_divisibility_and_divide_by_pow5_info; + n *= info::magic_number; + const uint32_t comparison_mask = + info::bits_for_comparison >= 32 ? std::numeric_limits::max() + : ((1u << info::bits_for_comparison) - 1); + + if ((n & comparison_mask) <= info::threshold) { + n >>= info::shift_amount; + return true; + } else { + n >>= info::shift_amount; + return false; + } +} + +// Computes floor(n / 10^N) for small n and N +// Precondition: n <= 10^(N+1) +template struct small_division_by_pow10_info; + +template <> struct small_division_by_pow10_info<1> { + static const uint32_t magic_number = 0xcccd; + static const int shift_amount = 19; + static const int divisor = 10; +}; + +template <> struct small_division_by_pow10_info<2> { + static const uint32_t magic_number = 0xa3d8; + static const int shift_amount = 22; + static const int divisor = 100; +}; + +template uint32_t small_division_by_pow10(uint32_t n) FMT_NOEXCEPT { + FMT_ASSERT(n <= small_division_by_pow10_info::divisor, "n is too large"); + return (n * small_division_by_pow10_info::magic_number) >> + small_division_by_pow10_info::shift_amount; +} + +// Computes floor(n / 10^(kappa + 1)) (float) +inline uint32_t divide_by_10_to_kappa_plus_1(uint32_t n) FMT_NOEXCEPT { + return n / float_info::big_divisor; +} +// Computes floor(n / 10^(kappa + 1)) (double) +inline uint64_t divide_by_10_to_kappa_plus_1(uint64_t n) FMT_NOEXCEPT { + return umul128_upper64(n, 0x83126e978d4fdf3c) >> 9; +} + +// Various subroutines using pow10 cache +template struct cache_accessor; + +template <> struct cache_accessor { + using carrier_uint = float_info::carrier_uint; + using cache_entry_type = uint64_t; + static uint64_t get_cached_power(int k) FMT_NOEXCEPT { + FMT_ASSERT(k >= float_info::min_k && k <= float_info::max_k, + "k is out of range"); + return data::dragonbox_pow10_significands_64[k - float_info::min_k]; + } + + static carrier_uint compute_mul(carrier_uint u, + const cache_entry_type& cache) FMT_NOEXCEPT { + return umul96_upper32(u, cache); + } + + static uint32_t compute_delta(const cache_entry_type& cache, + int beta_minus_1) FMT_NOEXCEPT { + return static_cast(cache >> (64 - 1 - beta_minus_1)); + } + + static bool compute_mul_parity(carrier_uint two_f, + const cache_entry_type& cache, + int beta_minus_1) FMT_NOEXCEPT { + FMT_ASSERT(beta_minus_1 >= 1, ""); + FMT_ASSERT(beta_minus_1 < 64, ""); + + return ((umul96_lower64(two_f, cache) >> (64 - beta_minus_1)) & 1) != 0; + } + + static carrier_uint compute_left_endpoint_for_shorter_interval_case( + const cache_entry_type& cache, int beta_minus_1) FMT_NOEXCEPT { + return static_cast( + (cache - (cache >> (float_info::significand_bits + 2))) >> + (64 - float_info::significand_bits - 1 - beta_minus_1)); + } + + static carrier_uint compute_right_endpoint_for_shorter_interval_case( + const cache_entry_type& cache, int beta_minus_1) FMT_NOEXCEPT { + return static_cast( + (cache + (cache >> (float_info::significand_bits + 1))) >> + (64 - float_info::significand_bits - 1 - beta_minus_1)); + } + + static carrier_uint compute_round_up_for_shorter_interval_case( + const cache_entry_type& cache, int beta_minus_1) FMT_NOEXCEPT { + return carrier_uint(((cache >> (64 - float_info::significand_bits - + 2 - beta_minus_1)) + + 1)) / + 2; + } +}; + +template <> struct cache_accessor { + using carrier_uint = float_info::carrier_uint; + using cache_entry_type = uint128_wrapper; + static uint128_wrapper get_cached_power(int k) FMT_NOEXCEPT { + FMT_ASSERT(k >= float_info::min_k && k <= float_info::max_k, + "k is out of range"); + +#if FMT_USE_FULL_CACHE_DRAGONBOX + return data::dragonbox_pow10_significands_128[k - float_info::min_k]; +#else + static const int compression_ratio = 27; + + // Compute base index + int cache_index = (k - float_info::min_k) / compression_ratio; + int kb = cache_index * compression_ratio + float_info::min_k; + int offset = k - kb; + + // Get base cache + uint128_wrapper base_cache = + data::dragonbox_pow10_significands_128[cache_index]; + + if (offset == 0) { + return base_cache; + } else { + // Compute the required amount of bit-shift + int alpha = floor_log2_pow10(kb + offset) - floor_log2_pow10(kb) - offset; + FMT_ASSERT(alpha > 0 && alpha < 64, "shifting error detected"); + + // Try to recover the real cache + uint64_t pow5 = data::powers_of_5_64[offset]; + uint128_wrapper recovered_cache = umul128(base_cache.high(), pow5); + uint128_wrapper middle_low = + umul128(base_cache.low() - (kb < 0 ? 1 : 0), pow5); + + recovered_cache += middle_low.high(); + + uint64_t high_to_middle = recovered_cache.high() << (64 - alpha); + uint64_t middle_to_low = recovered_cache.low() << (64 - alpha); + + recovered_cache = + uint128_wrapper{(recovered_cache.low() >> alpha) | high_to_middle, + ((middle_low.low() >> alpha) | middle_to_low)}; + + if (kb < 0) { + recovered_cache += 1; + } + + // Get error + int error_idx = (k - float_info::min_k) / 16; + int error = (data::dragonbox_pow10_recovery_errors[error_idx] >> + ((k - float_info::min_k) % 16) * 2) & + 0x3; + + // Add the error back + FMT_ASSERT(recovered_cache.low() + error >= recovered_cache.low(), ""); + recovered_cache = {recovered_cache.high(), recovered_cache.low() + error}; + + return recovered_cache; +#endif + } +} + +static carrier_uint +compute_mul(carrier_uint u, const cache_entry_type& cache) FMT_NOEXCEPT { + return umul192_upper64(u, cache); +} + +static uint32_t compute_delta(cache_entry_type const& cache, + int beta_minus_1) FMT_NOEXCEPT { + return static_cast(cache.high() >> (64 - 1 - beta_minus_1)); +} + +static bool compute_mul_parity(carrier_uint two_f, + const cache_entry_type& cache, + int beta_minus_1) FMT_NOEXCEPT { + FMT_ASSERT(beta_minus_1 >= 1, ""); + FMT_ASSERT(beta_minus_1 < 64, ""); + + return ((umul192_middle64(two_f, cache) >> (64 - beta_minus_1)) & 1) != 0; +} + +static carrier_uint compute_left_endpoint_for_shorter_interval_case( + const cache_entry_type& cache, int beta_minus_1) FMT_NOEXCEPT { + return (cache.high() - + (cache.high() >> (float_info::significand_bits + 2))) >> + (64 - float_info::significand_bits - 1 - beta_minus_1); +} + +static carrier_uint compute_right_endpoint_for_shorter_interval_case( + const cache_entry_type& cache, int beta_minus_1) FMT_NOEXCEPT { + return (cache.high() + + (cache.high() >> (float_info::significand_bits + 1))) >> + (64 - float_info::significand_bits - 1 - beta_minus_1); +} + +static carrier_uint compute_round_up_for_shorter_interval_case( + const cache_entry_type& cache, int beta_minus_1) FMT_NOEXCEPT { + return ((cache.high() >> + (64 - float_info::significand_bits - 2 - beta_minus_1)) + + 1) / + 2; +} +}; // namespace dragonbox + +// Various integer checks +template +bool is_left_endpoint_integer_shorter_interval(int exponent) FMT_NOEXCEPT { + return exponent >= + float_info< + T>::case_shorter_interval_left_endpoint_lower_threshold && + exponent <= + float_info::case_shorter_interval_left_endpoint_upper_threshold; +} +template +bool is_endpoint_integer(typename float_info::carrier_uint two_f, + int exponent, int minus_k) FMT_NOEXCEPT { + if (exponent < float_info::case_fc_pm_half_lower_threshold) { + return false; + } + // For k >= 0 + else if (exponent <= float_info::case_fc_pm_half_upper_threshold) { + return true; + } + // For k < 0 + else if (exponent > float_info::divisibility_check_by_5_threshold) { + return false; + } else { + return divisible_by_power_of_5(two_f, minus_k); + } +} + +template +bool is_center_integer(typename float_info::carrier_uint two_f, int exponent, + int minus_k) FMT_NOEXCEPT { + // Exponent for 5 is negative + if (exponent > float_info::divisibility_check_by_5_threshold) { + return false; + } else if (exponent > float_info::case_fc_upper_threshold) { + return divisible_by_power_of_5(two_f, minus_k); + } + // Both exponents are nonnegative + else if (exponent >= float_info::case_fc_lower_threshold) { + return true; + } + // Exponent for 2 is negative + else { + return divisible_by_power_of_2(two_f, minus_k - exponent + 1); + } +} + +// Remove trailing zeros from n and return the number of zeros removed (float) +FMT_ALWAYS_INLINE int remove_trailing_zeros(uint32_t& n) FMT_NOEXCEPT { +#ifdef FMT_BUILTIN_CTZ + int t = FMT_BUILTIN_CTZ(n); +#else + int t = ctz(n); +#endif + if (t > float_info::max_trailing_zeros) { + t = float_info::max_trailing_zeros; + } + + const uint32_t mod_inv1 = 0xcccccccd; + const uint32_t max_quotient1 = 0x33333333; + const uint32_t mod_inv2 = 0xc28f5c29; + const uint32_t max_quotient2 = 0x0a3d70a3; + + int s = 0; + for (; s < t - 1; s += 2) { + if (n * mod_inv2 > max_quotient2) { + break; + } + n *= mod_inv2; + } + if (s < t && n * mod_inv1 <= max_quotient1) { + n *= mod_inv1; + ++s; + } + n >>= s; + return s; +} + +// Removes trailing zeros and returns the number of zeros removed (double) +FMT_ALWAYS_INLINE int remove_trailing_zeros(uint64_t& n) FMT_NOEXCEPT { +#ifdef FMT_BUILTIN_CTZLL + int t = FMT_BUILTIN_CTZLL(n); +#else + int t = ctzll(n); +#endif + if (t > float_info::max_trailing_zeros) { + t = float_info::max_trailing_zeros; + } + // Divide by 10^8 and reduce to 32-bits + // Since ret_value.significand <= (2^64 - 1) / 1000 < 10^17, + // both of the quotient and the r should fit in 32-bits + + const uint32_t mod_inv1 = 0xcccccccd; + const uint32_t max_quotient1 = 0x33333333; + const uint64_t mod_inv8 = 0xc767074b22e90e21; + const uint64_t max_quotient8 = 0x00002af31dc46118; + + // If the number is divisible by 1'0000'0000, work with the quotient + if (t >= 8) { + auto quotient_candidate = n * mod_inv8; + + if (quotient_candidate <= max_quotient8) { + auto quotient = static_cast(quotient_candidate >> 8); + + int s = 8; + for (; s < t; ++s) { + if (quotient * mod_inv1 > max_quotient1) { + break; + } + quotient *= mod_inv1; + } + quotient >>= (s - 8); + n = quotient; + return s; + } + } + + // Otherwise, work with the remainder + auto quotient = static_cast(n / 100000000); + auto remainder = static_cast(n - 100000000 * quotient); + + if (t == 0 || remainder * mod_inv1 > max_quotient1) { + return 0; + } + remainder *= mod_inv1; + + if (t == 1 || remainder * mod_inv1 > max_quotient1) { + n = (remainder >> 1) + quotient * 10000000ull; + return 1; + } + remainder *= mod_inv1; + + if (t == 2 || remainder * mod_inv1 > max_quotient1) { + n = (remainder >> 2) + quotient * 1000000ull; + return 2; + } + remainder *= mod_inv1; + + if (t == 3 || remainder * mod_inv1 > max_quotient1) { + n = (remainder >> 3) + quotient * 100000ull; + return 3; + } + remainder *= mod_inv1; + + if (t == 4 || remainder * mod_inv1 > max_quotient1) { + n = (remainder >> 4) + quotient * 10000ull; + return 4; + } + remainder *= mod_inv1; + + if (t == 5 || remainder * mod_inv1 > max_quotient1) { + n = (remainder >> 5) + quotient * 1000ull; + return 5; + } + remainder *= mod_inv1; + + if (t == 6 || remainder * mod_inv1 > max_quotient1) { + n = (remainder >> 6) + quotient * 100ull; + return 6; + } + remainder *= mod_inv1; + + n = (remainder >> 7) + quotient * 10ull; + return 7; +} + +// The main algorithm for shorter interval case +template +FMT_ALWAYS_INLINE FMT_SAFEBUFFERS void shorter_interval_case( + decimal_fp& ret_value, int exponent) FMT_NOEXCEPT { + // Compute k and beta + const int minus_k = floor_log10_pow2_minus_log10_4_over_3(exponent); + const int beta_minus_1 = exponent + floor_log2_pow10(-minus_k); + + // Compute xi and zi + using cache_entry_type = typename cache_accessor::cache_entry_type; + const cache_entry_type cache = cache_accessor::get_cached_power(-minus_k); + + auto xi = cache_accessor::compute_left_endpoint_for_shorter_interval_case( + cache, beta_minus_1); + auto zi = cache_accessor::compute_right_endpoint_for_shorter_interval_case( + cache, beta_minus_1); + + // If the left endpoint is not an integer, increase it + if (!is_left_endpoint_integer_shorter_interval(exponent)) { + ++xi; + } + + // Try bigger divisor + ret_value.significand = zi / 10; + + // If succeed, remove trailing zeros if necessary and return + if (ret_value.significand * 10 >= xi) { + ret_value.exponent = minus_k + 1; + ret_value.exponent += remove_trailing_zeros(ret_value.significand); + return; + } + + // Otherwise, compute the round-up of y + ret_value.significand = + cache_accessor::compute_round_up_for_shorter_interval_case( + cache, beta_minus_1); + ret_value.exponent = minus_k; + + // When tie occurs, choose one of them according to the rule + if (exponent >= float_info::shorter_interval_case_tie_lower_threshold && + exponent <= float_info::shorter_interval_case_tie_upper_threshold) { + ret_value.significand = ret_value.significand % 2 == 0 + ? ret_value.significand + : ret_value.significand - 1; + } else if (ret_value.significand < xi) { + ++ret_value.significand; + } +} + +// The main algorithm for the normal case +template FMT_SAFEBUFFERS decimal_fp to_decimal(T x) FMT_NOEXCEPT { + // Step 1: integer promotion & Schubfach multiplier calculation + + using carrier_uint = typename float_info::carrier_uint; + using cache_entry_type = typename cache_accessor::cache_entry_type; + + carrier_uint br = bit_cast(x); + decimal_fp ret_value; + + // Extract significand bits and exponent bits + const carrier_uint significand_mask = + (static_cast(1) << float_info::significand_bits) - 1; + carrier_uint significand = (br & significand_mask); + const carrier_uint exponent_mask = + ((static_cast(1) << float_info::exponent_bits) - 1) + << float_info::significand_bits; + int exponent = + static_cast((br & exponent_mask) >> float_info::significand_bits); + + // Deal with normal/subnormal dichotomy + if (exponent != 0) { + exponent += float_info::exponent_bias - float_info::significand_bits; + + // Closer boundary case; proceed like Schubfach + if (significand == 0) { + shorter_interval_case(ret_value, exponent); + return ret_value; + } + + significand |= + (static_cast(1) << float_info::significand_bits); + } + // Subnormal case; interval is always regular + else { + exponent = float_info::min_exponent - float_info::significand_bits; + } + + const bool include_left_endpoint = (significand % 2 == 0); + const bool include_right_endpoint = (significand % 2 == 0); + + // Compute k and beta + const int minus_k = floor_log10_pow2(exponent) - float_info::kappa; + const cache_entry_type cache = cache_accessor::get_cached_power(-minus_k); + const int beta_minus_1 = exponent + floor_log2_pow10(-minus_k); + + // Compute zi and deltai + // 10^kappa <= deltai < 10^(kappa + 1) + const uint32_t deltai = cache_accessor::compute_delta(cache, beta_minus_1); + const carrier_uint two_fc = significand << 1; + const carrier_uint two_fr = two_fc | 1; + const carrier_uint zi = + cache_accessor::compute_mul(two_fr << beta_minus_1, cache); + + // Step 2: Try larger divisor; remove trailing zeros if necessary + + // Using an upper bound on zi, we might be able to optimize the division + // better than the compiler; we are computing zi / big_divisor here + ret_value.significand = divide_by_10_to_kappa_plus_1(zi); + uint32_t r = static_cast(zi - float_info::big_divisor * + ret_value.significand); + + if (r > deltai) { + goto small_divisor_case_label; + } else if (r < deltai) { + // Exclude the right endpoint if necessary + if (r == 0 && !include_right_endpoint && + is_endpoint_integer(two_fr, exponent, minus_k)) { + --ret_value.significand; + r = float_info::big_divisor; + goto small_divisor_case_label; + } + } else { + // r == deltai; compare fractional parts + const carrier_uint two_fl = two_fc - 1; + if (!cache_accessor::compute_mul_parity(two_fl, cache, beta_minus_1) && + (!include_left_endpoint || + !is_endpoint_integer(two_fl, exponent, minus_k))) { + goto small_divisor_case_label; + } + } + ret_value.exponent = minus_k + float_info::kappa + 1; + + // We may need to remove trailing zeros + ret_value.exponent += remove_trailing_zeros(ret_value.significand); + return ret_value; + + // Step 3: Find the significand with the smaller divisor + +small_divisor_case_label: + ret_value.significand *= 10; + ret_value.exponent = minus_k + float_info::kappa; + + const uint32_t mask = (1u << float_info::kappa) - 1; + auto dist = r - (deltai / 2) + (float_info::small_divisor / 2); + + // Is dist divisible by 2^kappa? + if ((dist & mask) == 0) { + const bool approx_y_parity = + ((dist ^ (float_info::small_divisor / 2)) & 1) != 0; + dist >>= float_info::kappa; + + // Is dist divisible by 5^kappa? + if (check_divisibility_and_divide_by_pow5::kappa>(dist)) { + ret_value.significand += dist; + + // Check z^(f) >= epsilon^(f) + // We have either yi == zi - epsiloni or yi == (zi - epsiloni) - 1, + // where yi == zi - epsiloni if and only if z^(f) >= epsilon^(f) + // Since there are only 2 possibilities, we only need to care about the + // parity Also, zi and r should have the same parity since the divisor + // is an even number + if (cache_accessor::compute_mul_parity(two_fc, cache, beta_minus_1) != + approx_y_parity) { + --ret_value.significand; + } else { + // If z^(f) >= epsilon^(f), we might have a tie + // when z^(f) == epsilon^(f), or equivalently, when y is an integer + if (is_center_integer(two_fc, exponent, minus_k)) { + ret_value.significand = ret_value.significand % 2 == 0 + ? ret_value.significand + : ret_value.significand - 1; + } + } + } + // Is dist not divisible by 5^kappa? + else { + ret_value.significand += dist; + } + } + // Is dist not divisible by 2^kappa? + else { + // Since we know dist is small, we might be able to optimize the division + // better than the compiler; we are computing dist / small_divisor here + ret_value.significand += + small_division_by_pow10::kappa>(dist); + } + return ret_value; +} +} // namespace detail + // Formats value using a variation of the Fixed-Precision Positive // Floating-Point Printout ((FPP)^2) algorithm by Steele & White: // https://fmt.dev/p372-steele.pdf. @@ -1130,40 +2676,75 @@ int format_float(T value, int precision, float_specs specs, buffer& buf) { if (!specs.use_grisu) return snprintf_float(value, precision, specs, buf); + // Use Dragonbox for shortest + if (precision < 0) { + int length; + uint32_t dec_significand; + int i = 0; + int exponent; + if (specs.binary32) { + detail::dragonbox::decimal_fp dec = + detail::dragonbox::to_decimal(float(value)); + length = detail::count_digits(dec.significand); + exponent = dec.exponent; + buf.try_resize(to_unsigned(length)); + + dec_significand = dec.significand; + } else { + detail::dragonbox::decimal_fp dec = + detail::dragonbox::to_decimal(double(value)); + length = detail::count_digits(dec.significand); + exponent = dec.exponent; + buf.try_resize(to_unsigned(length)); + + if (dec.significand >= 100000000) { + dec_significand = uint32_t(dec.significand / 100000000); + uint32_t r = uint32_t(dec.significand) - 100000000 * dec_significand; + uint32_t r1 = r / 10000; + uint32_t r2 = r % 10000; + uint32_t a = r1 / 100; + uint32_t b = r1 % 100; + uint32_t c = r2 / 100; + uint32_t d = r2 % 100; + + copy2(buf.data() + length - 8, data::digits[a]); + copy2(buf.data() + length - 6, data::digits[b]); + copy2(buf.data() + length - 4, data::digits[c]); + copy2(buf.data() + length - 2, data::digits[d]); + i += 8; + } else { + dec_significand = uint32_t(dec.significand); + } + } + + while (dec_significand >= 10000) { + uint32_t r = dec_significand % 10000; + dec_significand /= 10000; + + copy2(buf.data() + length - i - 4, data::digits[r / 100]); + copy2(buf.data() + length - i - 2, data::digits[r % 100]); + i += 4; + } + if (dec_significand >= 100) { + uint32_t r = dec_significand % 100; + dec_significand /= 100; + + copy2(buf.data() + length - i - 2, data::digits[r]); + i += 2; + } + if (dec_significand >= 10) { + copy2(buf.data() + length - i - 2, data::digits[dec_significand]); + } else { + *buf.data() = char('0' + dec_significand); + } + + return exponent; + } + + // Use Grisu + Dragon4 for fixed precision int exp = 0; const int min_exp = -60; // alpha in Grisu. int cached_exp10 = 0; // K in Grisu. - if (precision < 0) { - fp fp_value; - auto boundaries = specs.binary32 - ? fp_value.assign_float_with_boundaries(value) - : fp_value.assign_with_boundaries(value); - fp_value = normalize(fp_value); - // Find a cached power of 10 such that multiplying value by it will bring - // the exponent in the range [min_exp, -32]. - const fp cached_pow = get_cached_power( - min_exp - (fp_value.e + fp::significand_size), cached_exp10); - // Multiply value and boundaries by the cached power of 10. - fp_value = fp_value * cached_pow; - boundaries.lower = multiply(boundaries.lower, cached_pow.f); - boundaries.upper = multiply(boundaries.upper, cached_pow.f); - assert(min_exp <= fp_value.e && fp_value.e <= -32); - --boundaries.lower; // \tilde{M}^- - 1 ulp -> M^-_{\downarrow}. - ++boundaries.upper; // \tilde{M}^+ + 1 ulp -> M^+_{\uparrow}. - // Numbers outside of (lower, upper) definitely do not round to value. - grisu_shortest_handler handler{buf.data(), 0, - boundaries.upper - fp_value.f}; - auto result = - grisu_gen_digits(fp(boundaries.upper, fp_value.e), - boundaries.upper - boundaries.lower, exp, handler); - if (result == digits::error) { - exp += handler.size - cached_exp10 - 1; - fallback_format(value, -1, specs.binary32, buf, exp); - return exp; - } - buf.try_resize(to_unsigned(handler.size)); - return exp - cached_exp10; - } fp normalized = normalize(fp(value)); const auto cached_pow = get_cached_power( min_exp - (normalized.e + fp::significand_size), cached_exp10); @@ -1186,7 +2767,7 @@ int format_float(T value, int precision, float_specs specs, buffer& buf) { buf.try_resize(num_digits); } return exp; -} +} // namespace detail template int snprintf_float(T value, int precision, float_specs specs, diff --git a/include/fmt/format.h b/include/fmt/format.h index b464959d..5cb71b99 100644 --- a/include/fmt/format.h +++ b/include/fmt/format.h @@ -182,6 +182,12 @@ FMT_END_NAMESPACE #if (FMT_GCC_VERSION || FMT_HAS_BUILTIN(__builtin_clzll)) && !FMT_MSC_VER # define FMT_BUILTIN_CLZLL(n) __builtin_clzll(n) #endif +#if (FMT_GCC_VERSION || FMT_HAS_BUILTIN(__builtin_ctz)) +# define FMT_BUILTIN_CTZ(n) __builtin_ctz(n) +#endif +#if (FMT_GCC_VERSION || FMT_HAS_BUILTIN(__builtin_ctzll)) +# define FMT_BUILTIN_CTZLL(n) __builtin_ctzll(n) +#endif // Some compilers masquerade as both MSVC and GCC-likes or otherwise support // __builtin_clz and __builtin_clzll, so only define FMT_BUILTIN_CLZ using the @@ -236,6 +242,59 @@ inline int clzll(uint64_t x) { FMT_END_NAMESPACE #endif +// Same for __builtin_ctz and __builtin_ctzll +#if FMT_MSC_VER && !defined(FMT_BUILTIN_CTZLL) && !defined(_MANAGED) +# include // _BitScanReverse, _BitScanReverse64 + +FMT_BEGIN_NAMESPACE +namespace detail { +// Avoid Clang with Microsoft CodeGen's -Wunknown-pragmas warning. +# ifndef __clang__ +# pragma intrinsic(_BitScanForward) +# endif +inline int ctz(uint32_t x) { + unsigned long r = 0; + _BitScanForward(&r, x); + + FMT_ASSERT(x != 0, ""); + // Static analysis complains about using uninitialized data + // "r", but the only way that can happen is if "x" is 0, + // which the callers guarantee to not happen. + FMT_SUPPRESS_MSC_WARNING(6102) + return static_cast(r); +} +# define FMT_BUILTIN_CTZ(n) detail::ctz(n) + +# if defined(_WIN64) && !defined(__clang__) +# pragma intrinsic(_BitScanForward64) +# endif + +inline int ctzll(uint64_t x) { + unsigned long r = 0; + FMT_ASSERT(x != 0, ""); + // Static analysis complains about using uninitialized data + // "r", but the only way that can happen is if "x" is 0, + // which the callers guarantee to not happen. + FMT_SUPPRESS_MSC_WARNING(6102) + +# ifdef _WIN64 + _BitScanForward64(&r, x); +# else + // Scan the low 32 bits. + if (_BitScanForward(&r, static_cast(x))) return r; + + // Scan the high 32 bits. + _BitScanReverse(&r, static_cast(x >> 32)); + r += 32; +# endif + + return static_cast(r); +} +# define FMT_BUILTIN_CTZLL(n) detail::ctzll(n) +} // namespace detail +FMT_END_NAMESPACE +#endif + // Enable the deprecated numeric alignment. #ifndef FMT_DEPRECATED_NUMERIC_ALIGN # define FMT_DEPRECATED_NUMERIC_ALIGN 0 @@ -555,6 +614,10 @@ template constexpr bool use_grisu() { sizeof(T) <= sizeof(double); } +#ifndef FMT_USE_FULL_CACHE_DRAGONBOX +# define FMT_USE_FULL_CACHE_DRAGONBOX 0 +#endif + template template void buffer::append(const U* begin, const U* end) { @@ -778,13 +841,72 @@ using uint32_or_64_or_128_t = conditional_t() <= 64, uint64_t, uint128_t>>; #endif +// 128-bit integer type used internally +struct uint128_wrapper { + uint128_wrapper() = default; + +#if FMT_USE_INT128 + uint128_t internal_; + + uint128_wrapper(uint64_t high, uint64_t low) FMT_NOEXCEPT + : internal_{static_cast(low) | + (static_cast(high) << 64)} {} + + uint128_wrapper(uint128_t u) : internal_{u} {} + + uint64_t high() const FMT_NOEXCEPT { return uint64_t(internal_ >> 64); } + uint64_t low() const FMT_NOEXCEPT { return uint64_t(internal_); } + + uint128_wrapper& operator+=(uint64_t n) & FMT_NOEXCEPT { + internal_ += n; + return *this; + } +#else + uint64_t high_; + uint64_t low_; + + uint128_wrapper(uint64_t high, uint64_t low) FMT_NOEXCEPT : high_{high}, + low_{low} {} + + uint64_t high() const FMT_NOEXCEPT { return high_; } + uint64_t low() const FMT_NOEXCEPT { return low_; } + + uint128_wrapper& operator+=(uint64_t n) & FMT_NOEXCEPT { +# if defined(_MSC_VER) && defined(_M_X64) + unsigned char carry = _addcarry_u64(0, low_, n, &low_); + _addcarry_u64(carry, high_, 0, &high_); + return *this; +# else + uint64_t sum = low_ + n; + high_ += (sum < low_ ? 1 : 0); + low_ = sum; + return *this; +# endif + } +#endif +}; + +// Table entry type for divisibility test used internally +template struct divtest_table_entry { + T mod_inv; + T max_quotient; +}; + // Static data is placed in this class template for the header-only config. template struct FMT_EXTERN_TEMPLATE_API basic_data { static const uint64_t powers_of_10_64[]; static const uint32_t zero_or_powers_of_10_32[]; static const uint64_t zero_or_powers_of_10_64[]; - static const uint64_t pow10_significands[]; - static const int16_t pow10_exponents[]; + static const uint64_t grisu_pow10_significands[]; + static const int16_t grisu_pow10_exponents[]; + static const divtest_table_entry divtest_table_for_pow5_32[]; + static const divtest_table_entry divtest_table_for_pow5_64[]; + static const uint64_t dragonbox_pow10_significands_64[]; + static const uint128_wrapper dragonbox_pow10_significands_128[]; +#if !FMT_USE_FULL_CACHE_DRAGONBOX + static const uint64_t powers_of_5_64[]; + static const uint32_t dragonbox_pow10_recovery_errors[]; +#endif // GCC generates slightly better code for pairs than chars. using digit_pair = char[2]; static const digit_pair digits[]; @@ -878,6 +1000,13 @@ template <> int count_digits<4>(detail::fallback_uintptr n); # define FMT_ALWAYS_INLINE inline #endif +// To suppress unnecessary security cookie checks +#if defined(FMT_MSC_VER) && !defined(__clang__) +# define FMT_SAFEBUFFERS __declspec(safebuffers) +#else +# define FMT_SAFEBUFFERS +#endif + #ifdef FMT_BUILTIN_CLZ // Optional version of count_digits for better performance on 32-bit platforms. inline int count_digits(uint32_t n) {