detail/fast_float/fast_table.hpp

0001 // Copyright 2020-2023 Daniel Lemire
0002 // Copyright 2023 Matt Borland
0003 // Distributed under the Boost Software License, Version 1.0.
0004 // https://www.boost.org/LICENSE_1_0.txt
0005 //
0006 // Derivative of: https://github.com/fastfloat/fast_float
0007
0008 #ifndef BOOST_CHARCONV_DETAIL_FASTFLOAT_FAST_TABLE_HPP
0009 #define BOOST_CHARCONV_DETAIL_FASTFLOAT_FAST_TABLE_HPP
0010
0011 #include <boost/charconv/detail/fast_float/float_common.hpp>
0012 #include <cstdint>
0013
0014 namespace boost { namespace charconv { namespace detail { namespace fast_float {
0015
0016 /**
0017  * When mapping numbers from decimal to binary,
0018  * we go from w * 10^q to m * 2^p but we have
0019  * 10^q = 5^q * 2^q, so effectively
0020  * we are trying to match
0021  * w * 2^q * 5^q to m * 2^p. Thus the powers of two
0022  * are not a concern since they can be represented
0023  * exactly using the binary notation, only the powers of five
0024  * affect the binary significand.
0025  */
0026
0027 /**
0028  * The smallest non-zero float (binary64) is 2^-1074.
0029  * We take as input numbers of the form w x 10^q where w < 2^64.
0030  * We have that w * 10^-343  <  2^(64-344) 5^-343 < 2^-1076.
0031  * However, we have that
0032  * (2^64-1) * 10^-342 =  (2^64-1) * 2^-342 * 5^-342 > 2^-1074.
0033  * Thus it is possible for a number of the form w * 10^-342 where
0034  * w is a 64-bit value to be a non-zero floating-point number.
0035  *********
0036  * Any number of form w * 10^309 where w>= 1 is going to be
0037  * infinite in binary64 so we never need to worry about powers
0038  * of 5 greater than 308.
0039  */
0040 template <class unused = void>
0041 struct powers_template {
0042
0043 constexpr static int smallest_power_of_five = binary_format<double>::smallest_power_of_ten();
0044 constexpr static int largest_power_of_five = binary_format<double>::largest_power_of_ten();
0045 constexpr static int number_of_entries = 2 * (largest_power_of_five - smallest_power_of_five + 1);
0046 // Powers of five from 5^-342 all the way to 5^308 rounded toward one.
0047 constexpr static uint64_t power_of_five_128[number_of_entries] = {
0048     0xeef453d6923bd65a,0x113faa2906a13b3f,
0049     0x9558b4661b6565f8,0x4ac7ca59a424c507,
0050     0xbaaee17fa23ebf76,0x5d79bcf00d2df649,
0051     0xe95a99df8ace6f53,0xf4d82c2c107973dc,
0052     0x91d8a02bb6c10594,0x79071b9b8a4be869,
0053     0xb64ec836a47146f9,0x9748e2826cdee284,
0054     0xe3e27a444d8d98b7,0xfd1b1b2308169b25,
0055     0x8e6d8c6ab0787f72,0xfe30f0f5e50e20f7,
0056     0xb208ef855c969f4f,0xbdbd2d335e51a935,
0057     0xde8b2b66b3bc4723,0xad2c788035e61382,
0058     0x8b16fb203055ac76,0x4c3bcb5021afcc31,
0059     0xaddcb9e83c6b1793,0xdf4abe242a1bbf3d,
0060     0xd953e8624b85dd78,0xd71d6dad34a2af0d,
0061     0x87d4713d6f33aa6b,0x8672648c40e5ad68,
0062     0xa9c98d8ccb009506,0x680efdaf511f18c2,
0063     0xd43bf0effdc0ba48,0x212bd1b2566def2,
0064     0x84a57695fe98746d,0x14bb630f7604b57,
0065     0xa5ced43b7e3e9188,0x419ea3bd35385e2d,
0066     0xcf42894a5dce35ea,0x52064cac828675b9,
0067     0x818995ce7aa0e1b2,0x7343efebd1940993,
0068     0xa1ebfb4219491a1f,0x1014ebe6c5f90bf8,
0069     0xca66fa129f9b60a6,0xd41a26e077774ef6,
0070     0xfd00b897478238d0,0x8920b098955522b4,
0071     0x9e20735e8cb16382,0x55b46e5f5d5535b0,
0072     0xc5a890362fddbc62,0xeb2189f734aa831d,
0073     0xf712b443bbd52b7b,0xa5e9ec7501d523e4,
0074     0x9a6bb0aa55653b2d,0x47b233c92125366e,
0075     0xc1069cd4eabe89f8,0x999ec0bb696e840a,
0076     0xf148440a256e2c76,0xc00670ea43ca250d,
0077     0x96cd2a865764dbca,0x380406926a5e5728,
0078     0xbc807527ed3e12bc,0xc605083704f5ecf2,
0079     0xeba09271e88d976b,0xf7864a44c633682e,
0080     0x93445b8731587ea3,0x7ab3ee6afbe0211d,
0081     0xb8157268fdae9e4c,0x5960ea05bad82964,
0082     0xe61acf033d1a45df,0x6fb92487298e33bd,
0083     0x8fd0c16206306bab,0xa5d3b6d479f8e056,
0084     0xb3c4f1ba87bc8696,0x8f48a4899877186c,
0085     0xe0b62e2929aba83c,0x331acdabfe94de87,
0086     0x8c71dcd9ba0b4925,0x9ff0c08b7f1d0b14,
0087     0xaf8e5410288e1b6f,0x7ecf0ae5ee44dd9,
0088     0xdb71e91432b1a24a,0xc9e82cd9f69d6150,
0089     0x892731ac9faf056e,0xbe311c083a225cd2,
0090     0xab70fe17c79ac6ca,0x6dbd630a48aaf406,
0091     0xd64d3d9db981787d,0x92cbbccdad5b108,
0092     0x85f0468293f0eb4e,0x25bbf56008c58ea5,
0093     0xa76c582338ed2621,0xaf2af2b80af6f24e,
0094     0xd1476e2c07286faa,0x1af5af660db4aee1,
0095     0x82cca4db847945ca,0x50d98d9fc890ed4d,
0096     0xa37fce126597973c,0xe50ff107bab528a0,
0097     0xcc5fc196fefd7d0c,0x1e53ed49a96272c8,
0098     0xff77b1fcbebcdc4f,0x25e8e89c13bb0f7a,
0099     0x9faacf3df73609b1,0x77b191618c54e9ac,
0100     0xc795830d75038c1d,0xd59df5b9ef6a2417,
0101     0xf97ae3d0d2446f25,0x4b0573286b44ad1d,
0102     0x9becce62836ac577,0x4ee367f9430aec32,
0103     0xc2e801fb244576d5,0x229c41f793cda73f,
0104     0xf3a20279ed56d48a,0x6b43527578c1110f,
0105     0x9845418c345644d6,0x830a13896b78aaa9,
0106     0xbe5691ef416bd60c,0x23cc986bc656d553,
0107     0xedec366b11c6cb8f,0x2cbfbe86b7ec8aa8,
0108     0x94b3a202eb1c3f39,0x7bf7d71432f3d6a9,
0109     0xb9e08a83a5e34f07,0xdaf5ccd93fb0cc53,
0110     0xe858ad248f5c22c9,0xd1b3400f8f9cff68,
0111     0x91376c36d99995be,0x23100809b9c21fa1,
0112     0xb58547448ffffb2d,0xabd40a0c2832a78a,
0113     0xe2e69915b3fff9f9,0x16c90c8f323f516c,
0114     0x8dd01fad907ffc3b,0xae3da7d97f6792e3,
0115     0xb1442798f49ffb4a,0x99cd11cfdf41779c,
0116     0xdd95317f31c7fa1d,0x40405643d711d583,
0117     0x8a7d3eef7f1cfc52,0x482835ea666b2572,
0118     0xad1c8eab5ee43b66,0xda3243650005eecf,
0119     0xd863b256369d4a40,0x90bed43e40076a82,
0120     0x873e4f75e2224e68,0x5a7744a6e804a291,
0121     0xa90de3535aaae202,0x711515d0a205cb36,
0122     0xd3515c2831559a83,0xd5a5b44ca873e03,
0123     0x8412d9991ed58091,0xe858790afe9486c2,
0124     0xa5178fff668ae0b6,0x626e974dbe39a872,
0125     0xce5d73ff402d98e3,0xfb0a3d212dc8128f,
0126     0x80fa687f881c7f8e,0x7ce66634bc9d0b99,
0127     0xa139029f6a239f72,0x1c1fffc1ebc44e80,
0128     0xc987434744ac874e,0xa327ffb266b56220,
0129     0xfbe9141915d7a922,0x4bf1ff9f0062baa8,
0130     0x9d71ac8fada6c9b5,0x6f773fc3603db4a9,
0131     0xc4ce17b399107c22,0xcb550fb4384d21d3,
0132     0xf6019da07f549b2b,0x7e2a53a146606a48,
0133     0x99c102844f94e0fb,0x2eda7444cbfc426d,
0134     0xc0314325637a1939,0xfa911155fefb5308,
0135     0xf03d93eebc589f88,0x793555ab7eba27ca,
0136     0x96267c7535b763b5,0x4bc1558b2f3458de,
0137     0xbbb01b9283253ca2,0x9eb1aaedfb016f16,
0138     0xea9c227723ee8bcb,0x465e15a979c1cadc,
0139     0x92a1958a7675175f,0xbfacd89ec191ec9,
0140     0xb749faed14125d36,0xcef980ec671f667b,
0141     0xe51c79a85916f484,0x82b7e12780e7401a,
0142     0x8f31cc0937ae58d2,0xd1b2ecb8b0908810,
0143     0xb2fe3f0b8599ef07,0x861fa7e6dcb4aa15,
0144     0xdfbdcece67006ac9,0x67a791e093e1d49a,
0145     0x8bd6a141006042bd,0xe0c8bb2c5c6d24e0,
0146     0xaecc49914078536d,0x58fae9f773886e18,
0147     0xda7f5bf590966848,0xaf39a475506a899e,
0148     0x888f99797a5e012d,0x6d8406c952429603,
0149     0xaab37fd7d8f58178,0xc8e5087ba6d33b83,
0150     0xd5605fcdcf32e1d6,0xfb1e4a9a90880a64,
0151     0x855c3be0a17fcd26,0x5cf2eea09a55067f,
0152     0xa6b34ad8c9dfc06f,0xf42faa48c0ea481e,
0153     0xd0601d8efc57b08b,0xf13b94daf124da26,
0154     0x823c12795db6ce57,0x76c53d08d6b70858,
0155     0xa2cb1717b52481ed,0x54768c4b0c64ca6e,
0156     0xcb7ddcdda26da268,0xa9942f5dcf7dfd09,
0157     0xfe5d54150b090b02,0xd3f93b35435d7c4c,
0158     0x9efa548d26e5a6e1,0xc47bc5014a1a6daf,
0159     0xc6b8e9b0709f109a,0x359ab6419ca1091b,
0160     0xf867241c8cc6d4c0,0xc30163d203c94b62,
0161     0x9b407691d7fc44f8,0x79e0de63425dcf1d,
0162     0xc21094364dfb5636,0x985915fc12f542e4,
0163     0xf294b943e17a2bc4,0x3e6f5b7b17b2939d,
0164     0x979cf3ca6cec5b5a,0xa705992ceecf9c42,
0165     0xbd8430bd08277231,0x50c6ff782a838353,
0166     0xece53cec4a314ebd,0xa4f8bf5635246428,
0167     0x940f4613ae5ed136,0x871b7795e136be99,
0168     0xb913179899f68584,0x28e2557b59846e3f,
0169     0xe757dd7ec07426e5,0x331aeada2fe589cf,
0170     0x9096ea6f3848984f,0x3ff0d2c85def7621,
0171     0xb4bca50b065abe63,0xfed077a756b53a9,
0172     0xe1ebce4dc7f16dfb,0xd3e8495912c62894,
0173     0x8d3360f09cf6e4bd,0x64712dd7abbbd95c,
0174     0xb080392cc4349dec,0xbd8d794d96aacfb3,
0175     0xdca04777f541c567,0xecf0d7a0fc5583a0,
0176     0x89e42caaf9491b60,0xf41686c49db57244,
0177     0xac5d37d5b79b6239,0x311c2875c522ced5,
0178     0xd77485cb25823ac7,0x7d633293366b828b,
0179     0x86a8d39ef77164bc,0xae5dff9c02033197,
0180     0xa8530886b54dbdeb,0xd9f57f830283fdfc,
0181     0xd267caa862a12d66,0xd072df63c324fd7b,
0182     0x8380dea93da4bc60,0x4247cb9e59f71e6d,
0183     0xa46116538d0deb78,0x52d9be85f074e608,
0184     0xcd795be870516656,0x67902e276c921f8b,
0185     0x806bd9714632dff6,0xba1cd8a3db53b6,
0186     0xa086cfcd97bf97f3,0x80e8a40eccd228a4,
0187     0xc8a883c0fdaf7df0,0x6122cd128006b2cd,
0188     0xfad2a4b13d1b5d6c,0x796b805720085f81,
0189     0x9cc3a6eec6311a63,0xcbe3303674053bb0,
0190     0xc3f490aa77bd60fc,0xbedbfc4411068a9c,
0191     0xf4f1b4d515acb93b,0xee92fb5515482d44,
0192     0x991711052d8bf3c5,0x751bdd152d4d1c4a,
0193     0xbf5cd54678eef0b6,0xd262d45a78a0635d,
0194     0xef340a98172aace4,0x86fb897116c87c34,
0195     0x9580869f0e7aac0e,0xd45d35e6ae3d4da0,
0196     0xbae0a846d2195712,0x8974836059cca109,
0197     0xe998d258869facd7,0x2bd1a438703fc94b,
0198     0x91ff83775423cc06,0x7b6306a34627ddcf,
0199     0xb67f6455292cbf08,0x1a3bc84c17b1d542,
0200     0xe41f3d6a7377eeca,0x20caba5f1d9e4a93,
0201     0x8e938662882af53e,0x547eb47b7282ee9c,
0202     0xb23867fb2a35b28d,0xe99e619a4f23aa43,
0203     0xdec681f9f4c31f31,0x6405fa00e2ec94d4,
0204     0x8b3c113c38f9f37e,0xde83bc408dd3dd04,
0205     0xae0b158b4738705e,0x9624ab50b148d445,
0206     0xd98ddaee19068c76,0x3badd624dd9b0957,
0207     0x87f8a8d4cfa417c9,0xe54ca5d70a80e5d6,
0208     0xa9f6d30a038d1dbc,0x5e9fcf4ccd211f4c,
0209     0xd47487cc8470652b,0x7647c3200069671f,
0210     0x84c8d4dfd2c63f3b,0x29ecd9f40041e073,
0211     0xa5fb0a17c777cf09,0xf468107100525890,
0212     0xcf79cc9db955c2cc,0x7182148d4066eeb4,
0213     0x81ac1fe293d599bf,0xc6f14cd848405530,
0214     0xa21727db38cb002f,0xb8ada00e5a506a7c,
0215     0xca9cf1d206fdc03b,0xa6d90811f0e4851c,
0216     0xfd442e4688bd304a,0x908f4a166d1da663,
0217     0x9e4a9cec15763e2e,0x9a598e4e043287fe,
0218     0xc5dd44271ad3cdba,0x40eff1e1853f29fd,
0219     0xf7549530e188c128,0xd12bee59e68ef47c,
0220     0x9a94dd3e8cf578b9,0x82bb74f8301958ce,
0221     0xc13a148e3032d6e7,0xe36a52363c1faf01,
0222     0xf18899b1bc3f8ca1,0xdc44e6c3cb279ac1,
0223     0x96f5600f15a7b7e5,0x29ab103a5ef8c0b9,
0224     0xbcb2b812db11a5de,0x7415d448f6b6f0e7,
0225     0xebdf661791d60f56,0x111b495b3464ad21,
0226     0x936b9fcebb25c995,0xcab10dd900beec34,
0227     0xb84687c269ef3bfb,0x3d5d514f40eea742,
0228     0xe65829b3046b0afa,0xcb4a5a3112a5112,
0229     0x8ff71a0fe2c2e6dc,0x47f0e785eaba72ab,
0230     0xb3f4e093db73a093,0x59ed216765690f56,
0231     0xe0f218b8d25088b8,0x306869c13ec3532c,
0232     0x8c974f7383725573,0x1e414218c73a13fb,
0233     0xafbd2350644eeacf,0xe5d1929ef90898fa,
0234     0xdbac6c247d62a583,0xdf45f746b74abf39,
0235     0x894bc396ce5da772,0x6b8bba8c328eb783,
0236     0xab9eb47c81f5114f,0x66ea92f3f326564,
0237     0xd686619ba27255a2,0xc80a537b0efefebd,
0238     0x8613fd0145877585,0xbd06742ce95f5f36,
0239     0xa798fc4196e952e7,0x2c48113823b73704,
0240     0xd17f3b51fca3a7a0,0xf75a15862ca504c5,
0241     0x82ef85133de648c4,0x9a984d73dbe722fb,
0242     0xa3ab66580d5fdaf5,0xc13e60d0d2e0ebba,
0243     0xcc963fee10b7d1b3,0x318df905079926a8,
0244     0xffbbcfe994e5c61f,0xfdf17746497f7052,
0245     0x9fd561f1fd0f9bd3,0xfeb6ea8bedefa633,
0246     0xc7caba6e7c5382c8,0xfe64a52ee96b8fc0,
0247     0xf9bd690a1b68637b,0x3dfdce7aa3c673b0,
0248     0x9c1661a651213e2d,0x6bea10ca65c084e,
0249     0xc31bfa0fe5698db8,0x486e494fcff30a62,
0250     0xf3e2f893dec3f126,0x5a89dba3c3efccfa,
0251     0x986ddb5c6b3a76b7,0xf89629465a75e01c,
0252     0xbe89523386091465,0xf6bbb397f1135823,
0253     0xee2ba6c0678b597f,0x746aa07ded582e2c,
0254     0x94db483840b717ef,0xa8c2a44eb4571cdc,
0255     0xba121a4650e4ddeb,0x92f34d62616ce413,
0256     0xe896a0d7e51e1566,0x77b020baf9c81d17,
0257     0x915e2486ef32cd60,0xace1474dc1d122e,
0258     0xb5b5ada8aaff80b8,0xd819992132456ba,
0259     0xe3231912d5bf60e6,0x10e1fff697ed6c69,
0260     0x8df5efabc5979c8f,0xca8d3ffa1ef463c1,
0261     0xb1736b96b6fd83b3,0xbd308ff8a6b17cb2,
0262     0xddd0467c64bce4a0,0xac7cb3f6d05ddbde,
0263     0x8aa22c0dbef60ee4,0x6bcdf07a423aa96b,
0264     0xad4ab7112eb3929d,0x86c16c98d2c953c6,
0265     0xd89d64d57a607744,0xe871c7bf077ba8b7,
0266     0x87625f056c7c4a8b,0x11471cd764ad4972,
0267     0xa93af6c6c79b5d2d,0xd598e40d3dd89bcf,
0268     0xd389b47879823479,0x4aff1d108d4ec2c3,
0269     0x843610cb4bf160cb,0xcedf722a585139ba,
0270     0xa54394fe1eedb8fe,0xc2974eb4ee658828,
0271     0xce947a3da6a9273e,0x733d226229feea32,
0272     0x811ccc668829b887,0x806357d5a3f525f,
0273     0xa163ff802a3426a8,0xca07c2dcb0cf26f7,
0274     0xc9bcff6034c13052,0xfc89b393dd02f0b5,
0275     0xfc2c3f3841f17c67,0xbbac2078d443ace2,
0276     0x9d9ba7832936edc0,0xd54b944b84aa4c0d,
0277     0xc5029163f384a931,0xa9e795e65d4df11,
0278     0xf64335bcf065d37d,0x4d4617b5ff4a16d5,
0279     0x99ea0196163fa42e,0x504bced1bf8e4e45,
0280     0xc06481fb9bcf8d39,0xe45ec2862f71e1d6,
0281     0xf07da27a82c37088,0x5d767327bb4e5a4c,
0282     0x964e858c91ba2655,0x3a6a07f8d510f86f,
0283     0xbbe226efb628afea,0x890489f70a55368b,
0284     0xeadab0aba3b2dbe5,0x2b45ac74ccea842e,
0285     0x92c8ae6b464fc96f,0x3b0b8bc90012929d,
0286     0xb77ada0617e3bbcb,0x9ce6ebb40173744,
0287     0xe55990879ddcaabd,0xcc420a6a101d0515,
0288     0x8f57fa54c2a9eab6,0x9fa946824a12232d,
0289     0xb32df8e9f3546564,0x47939822dc96abf9,
0290     0xdff9772470297ebd,0x59787e2b93bc56f7,
0291     0x8bfbea76c619ef36,0x57eb4edb3c55b65a,
0292     0xaefae51477a06b03,0xede622920b6b23f1,
0293     0xdab99e59958885c4,0xe95fab368e45eced,
0294     0x88b402f7fd75539b,0x11dbcb0218ebb414,
0295     0xaae103b5fcd2a881,0xd652bdc29f26a119,
0296     0xd59944a37c0752a2,0x4be76d3346f0495f,
0297     0x857fcae62d8493a5,0x6f70a4400c562ddb,
0298     0xa6dfbd9fb8e5b88e,0xcb4ccd500f6bb952,
0299     0xd097ad07a71f26b2,0x7e2000a41346a7a7,
0300     0x825ecc24c873782f,0x8ed400668c0c28c8,
0301     0xa2f67f2dfa90563b,0x728900802f0f32fa,
0302     0xcbb41ef979346bca,0x4f2b40a03ad2ffb9,
0303     0xfea126b7d78186bc,0xe2f610c84987bfa8,
0304     0x9f24b832e6b0f436,0xdd9ca7d2df4d7c9,
0305     0xc6ede63fa05d3143,0x91503d1c79720dbb,
0306     0xf8a95fcf88747d94,0x75a44c6397ce912a,
0307     0x9b69dbe1b548ce7c,0xc986afbe3ee11aba,
0308     0xc24452da229b021b,0xfbe85badce996168,
0309     0xf2d56790ab41c2a2,0xfae27299423fb9c3,
0310     0x97c560ba6b0919a5,0xdccd879fc967d41a,
0311     0xbdb6b8e905cb600f,0x5400e987bbc1c920,
0312     0xed246723473e3813,0x290123e9aab23b68,
0313     0x9436c0760c86e30b,0xf9a0b6720aaf6521,
0314     0xb94470938fa89bce,0xf808e40e8d5b3e69,
0315     0xe7958cb87392c2c2,0xb60b1d1230b20e04,
0316     0x90bd77f3483bb9b9,0xb1c6f22b5e6f48c2,
0317     0xb4ecd5f01a4aa828,0x1e38aeb6360b1af3,
0318     0xe2280b6c20dd5232,0x25c6da63c38de1b0,
0319     0x8d590723948a535f,0x579c487e5a38ad0e,
0320     0xb0af48ec79ace837,0x2d835a9df0c6d851,
0321     0xdcdb1b2798182244,0xf8e431456cf88e65,
0322     0x8a08f0f8bf0f156b,0x1b8e9ecb641b58ff,
0323     0xac8b2d36eed2dac5,0xe272467e3d222f3f,
0324     0xd7adf884aa879177,0x5b0ed81dcc6abb0f,
0325     0x86ccbb52ea94baea,0x98e947129fc2b4e9,
0326     0xa87fea27a539e9a5,0x3f2398d747b36224,
0327     0xd29fe4b18e88640e,0x8eec7f0d19a03aad,
0328     0x83a3eeeef9153e89,0x1953cf68300424ac,
0329     0xa48ceaaab75a8e2b,0x5fa8c3423c052dd7,
0330     0xcdb02555653131b6,0x3792f412cb06794d,
0331     0x808e17555f3ebf11,0xe2bbd88bbee40bd0,
0332     0xa0b19d2ab70e6ed6,0x5b6aceaeae9d0ec4,
0333     0xc8de047564d20a8b,0xf245825a5a445275,
0334     0xfb158592be068d2e,0xeed6e2f0f0d56712,
0335     0x9ced737bb6c4183d,0x55464dd69685606b,
0336     0xc428d05aa4751e4c,0xaa97e14c3c26b886,
0337     0xf53304714d9265df,0xd53dd99f4b3066a8,
0338     0x993fe2c6d07b7fab,0xe546a8038efe4029,
0339     0xbf8fdb78849a5f96,0xde98520472bdd033,
0340     0xef73d256a5c0f77c,0x963e66858f6d4440,
0341     0x95a8637627989aad,0xdde7001379a44aa8,
0342     0xbb127c53b17ec159,0x5560c018580d5d52,
0343     0xe9d71b689dde71af,0xaab8f01e6e10b4a6,
0344     0x9226712162ab070d,0xcab3961304ca70e8,
0345     0xb6b00d69bb55c8d1,0x3d607b97c5fd0d22,
0346     0xe45c10c42a2b3b05,0x8cb89a7db77c506a,
0347     0x8eb98a7a9a5b04e3,0x77f3608e92adb242,
0348     0xb267ed1940f1c61c,0x55f038b237591ed3,
0349     0xdf01e85f912e37a3,0x6b6c46dec52f6688,
0350     0x8b61313bbabce2c6,0x2323ac4b3b3da015,
0351     0xae397d8aa96c1b77,0xabec975e0a0d081a,
0352     0xd9c7dced53c72255,0x96e7bd358c904a21,
0353     0x881cea14545c7575,0x7e50d64177da2e54,
0354     0xaa242499697392d2,0xdde50bd1d5d0b9e9,
0355     0xd4ad2dbfc3d07787,0x955e4ec64b44e864,
0356     0x84ec3c97da624ab4,0xbd5af13bef0b113e,
0357     0xa6274bbdd0fadd61,0xecb1ad8aeacdd58e,
0358     0xcfb11ead453994ba,0x67de18eda5814af2,
0359     0x81ceb32c4b43fcf4,0x80eacf948770ced7,
0360     0xa2425ff75e14fc31,0xa1258379a94d028d,
0361     0xcad2f7f5359a3b3e,0x96ee45813a04330,
0362     0xfd87b5f28300ca0d,0x8bca9d6e188853fc,
0363     0x9e74d1b791e07e48,0x775ea264cf55347e,
0364     0xc612062576589dda,0x95364afe032a819e,
0365     0xf79687aed3eec551,0x3a83ddbd83f52205,
0366     0x9abe14cd44753b52,0xc4926a9672793543,
0367     0xc16d9a0095928a27,0x75b7053c0f178294,
0368     0xf1c90080baf72cb1,0x5324c68b12dd6339,
0369     0x971da05074da7bee,0xd3f6fc16ebca5e04,
0370     0xbce5086492111aea,0x88f4bb1ca6bcf585,
0371     0xec1e4a7db69561a5,0x2b31e9e3d06c32e6,
0372     0x9392ee8e921d5d07,0x3aff322e62439fd0,
0373     0xb877aa3236a4b449,0x9befeb9fad487c3,
0374     0xe69594bec44de15b,0x4c2ebe687989a9b4,
0375     0x901d7cf73ab0acd9,0xf9d37014bf60a11,
0376     0xb424dc35095cd80f,0x538484c19ef38c95,
0377     0xe12e13424bb40e13,0x2865a5f206b06fba,
0378     0x8cbccc096f5088cb,0xf93f87b7442e45d4,
0379     0xafebff0bcb24aafe,0xf78f69a51539d749,
0380     0xdbe6fecebdedd5be,0xb573440e5a884d1c,
0381     0x89705f4136b4a597,0x31680a88f8953031,
0382     0xabcc77118461cefc,0xfdc20d2b36ba7c3e,
0383     0xd6bf94d5e57a42bc,0x3d32907604691b4d,
0384     0x8637bd05af6c69b5,0xa63f9a49c2c1b110,
0385     0xa7c5ac471b478423,0xfcf80dc33721d54,
0386     0xd1b71758e219652b,0xd3c36113404ea4a9,
0387     0x83126e978d4fdf3b,0x645a1cac083126ea,
0388     0xa3d70a3d70a3d70a,0x3d70a3d70a3d70a4,
0389     0xcccccccccccccccc,0xcccccccccccccccd,
0390     0x8000000000000000,0x0,
0391     0xa000000000000000,0x0,
0392     0xc800000000000000,0x0,
0393     0xfa00000000000000,0x0,
0394     0x9c40000000000000,0x0,
0395     0xc350000000000000,0x0,
0396     0xf424000000000000,0x0,
0397     0x9896800000000000,0x0,
0398     0xbebc200000000000,0x0,
0399     0xee6b280000000000,0x0,
0400     0x9502f90000000000,0x0,
0401     0xba43b74000000000,0x0,
0402     0xe8d4a51000000000,0x0,
0403     0x9184e72a00000000,0x0,
0404     0xb5e620f480000000,0x0,
0405     0xe35fa931a0000000,0x0,
0406     0x8e1bc9bf04000000,0x0,
0407     0xb1a2bc2ec5000000,0x0,
0408     0xde0b6b3a76400000,0x0,
0409     0x8ac7230489e80000,0x0,
0410     0xad78ebc5ac620000,0x0,
0411     0xd8d726b7177a8000,0x0,
0412     0x878678326eac9000,0x0,
0413     0xa968163f0a57b400,0x0,
0414     0xd3c21bcecceda100,0x0,
0415     0x84595161401484a0,0x0,
0416     0xa56fa5b99019a5c8,0x0,
0417     0xcecb8f27f4200f3a,0x0,
0418     0x813f3978f8940984,0x4000000000000000,
0419     0xa18f07d736b90be5,0x5000000000000000,
0420     0xc9f2c9cd04674ede,0xa400000000000000,
0421     0xfc6f7c4045812296,0x4d00000000000000,
0422     0x9dc5ada82b70b59d,0xf020000000000000,
0423     0xc5371912364ce305,0x6c28000000000000,
0424     0xf684df56c3e01bc6,0xc732000000000000,
0425     0x9a130b963a6c115c,0x3c7f400000000000,
0426     0xc097ce7bc90715b3,0x4b9f100000000000,
0427     0xf0bdc21abb48db20,0x1e86d40000000000,
0428     0x96769950b50d88f4,0x1314448000000000,
0429     0xbc143fa4e250eb31,0x17d955a000000000,
0430     0xeb194f8e1ae525fd,0x5dcfab0800000000,
0431     0x92efd1b8d0cf37be,0x5aa1cae500000000,
0432     0xb7abc627050305ad,0xf14a3d9e40000000,
0433     0xe596b7b0c643c719,0x6d9ccd05d0000000,
0434     0x8f7e32ce7bea5c6f,0xe4820023a2000000,
0435     0xb35dbf821ae4f38b,0xdda2802c8a800000,
0436     0xe0352f62a19e306e,0xd50b2037ad200000,
0437     0x8c213d9da502de45,0x4526f422cc340000,
0438     0xaf298d050e4395d6,0x9670b12b7f410000,
0439     0xdaf3f04651d47b4c,0x3c0cdd765f114000,
0440     0x88d8762bf324cd0f,0xa5880a69fb6ac800,
0441     0xab0e93b6efee0053,0x8eea0d047a457a00,
0442     0xd5d238a4abe98068,0x72a4904598d6d880,
0443     0x85a36366eb71f041,0x47a6da2b7f864750,
0444     0xa70c3c40a64e6c51,0x999090b65f67d924,
0445     0xd0cf4b50cfe20765,0xfff4b4e3f741cf6d,
0446     0x82818f1281ed449f,0xbff8f10e7a8921a4,
0447     0xa321f2d7226895c7,0xaff72d52192b6a0d,
0448     0xcbea6f8ceb02bb39,0x9bf4f8a69f764490,
0449     0xfee50b7025c36a08,0x2f236d04753d5b4,
0450     0x9f4f2726179a2245,0x1d762422c946590,
0451     0xc722f0ef9d80aad6,0x424d3ad2b7b97ef5,
0452     0xf8ebad2b84e0d58b,0xd2e0898765a7deb2,
0453     0x9b934c3b330c8577,0x63cc55f49f88eb2f,
0454     0xc2781f49ffcfa6d5,0x3cbf6b71c76b25fb,
0455     0xf316271c7fc3908a,0x8bef464e3945ef7a,
0456     0x97edd871cfda3a56,0x97758bf0e3cbb5ac,
0457     0xbde94e8e43d0c8ec,0x3d52eeed1cbea317,
0458     0xed63a231d4c4fb27,0x4ca7aaa863ee4bdd,
0459     0x945e455f24fb1cf8,0x8fe8caa93e74ef6a,
0460     0xb975d6b6ee39e436,0xb3e2fd538e122b44,
0461     0xe7d34c64a9c85d44,0x60dbbca87196b616,
0462     0x90e40fbeea1d3a4a,0xbc8955e946fe31cd,
0463     0xb51d13aea4a488dd,0x6babab6398bdbe41,
0464     0xe264589a4dcdab14,0xc696963c7eed2dd1,
0465     0x8d7eb76070a08aec,0xfc1e1de5cf543ca2,
0466     0xb0de65388cc8ada8,0x3b25a55f43294bcb,
0467     0xdd15fe86affad912,0x49ef0eb713f39ebe,
0468     0x8a2dbf142dfcc7ab,0x6e3569326c784337,
0469     0xacb92ed9397bf996,0x49c2c37f07965404,
0470     0xd7e77a8f87daf7fb,0xdc33745ec97be906,
0471     0x86f0ac99b4e8dafd,0x69a028bb3ded71a3,
0472     0xa8acd7c0222311bc,0xc40832ea0d68ce0c,
0473     0xd2d80db02aabd62b,0xf50a3fa490c30190,
0474     0x83c7088e1aab65db,0x792667c6da79e0fa,
0475     0xa4b8cab1a1563f52,0x577001b891185938,
0476     0xcde6fd5e09abcf26,0xed4c0226b55e6f86,
0477     0x80b05e5ac60b6178,0x544f8158315b05b4,
0478     0xa0dc75f1778e39d6,0x696361ae3db1c721,
0479     0xc913936dd571c84c,0x3bc3a19cd1e38e9,
0480     0xfb5878494ace3a5f,0x4ab48a04065c723,
0481     0x9d174b2dcec0e47b,0x62eb0d64283f9c76,
0482     0xc45d1df942711d9a,0x3ba5d0bd324f8394,
0483     0xf5746577930d6500,0xca8f44ec7ee36479,
0484     0x9968bf6abbe85f20,0x7e998b13cf4e1ecb,
0485     0xbfc2ef456ae276e8,0x9e3fedd8c321a67e,
0486     0xefb3ab16c59b14a2,0xc5cfe94ef3ea101e,
0487     0x95d04aee3b80ece5,0xbba1f1d158724a12,
0488     0xbb445da9ca61281f,0x2a8a6e45ae8edc97,
0489     0xea1575143cf97226,0xf52d09d71a3293bd,
0490     0x924d692ca61be758,0x593c2626705f9c56,
0491     0xb6e0c377cfa2e12e,0x6f8b2fb00c77836c,
0492     0xe498f455c38b997a,0xb6dfb9c0f956447,
0493     0x8edf98b59a373fec,0x4724bd4189bd5eac,
0494     0xb2977ee300c50fe7,0x58edec91ec2cb657,
0495     0xdf3d5e9bc0f653e1,0x2f2967b66737e3ed,
0496     0x8b865b215899f46c,0xbd79e0d20082ee74,
0497     0xae67f1e9aec07187,0xecd8590680a3aa11,
0498     0xda01ee641a708de9,0xe80e6f4820cc9495,
0499     0x884134fe908658b2,0x3109058d147fdcdd,
0500     0xaa51823e34a7eede,0xbd4b46f0599fd415,
0501     0xd4e5e2cdc1d1ea96,0x6c9e18ac7007c91a,
0502     0x850fadc09923329e,0x3e2cf6bc604ddb0,
0503     0xa6539930bf6bff45,0x84db8346b786151c,
0504     0xcfe87f7cef46ff16,0xe612641865679a63,
0505     0x81f14fae158c5f6e,0x4fcb7e8f3f60c07e,
0506     0xa26da3999aef7749,0xe3be5e330f38f09d,
0507     0xcb090c8001ab551c,0x5cadf5bfd3072cc5,
0508     0xfdcb4fa002162a63,0x73d9732fc7c8f7f6,
0509     0x9e9f11c4014dda7e,0x2867e7fddcdd9afa,
0510     0xc646d63501a1511d,0xb281e1fd541501b8,
0511     0xf7d88bc24209a565,0x1f225a7ca91a4226,
0512     0x9ae757596946075f,0x3375788de9b06958,
0513     0xc1a12d2fc3978937,0x52d6b1641c83ae,
0514     0xf209787bb47d6b84,0xc0678c5dbd23a49a,
0515     0x9745eb4d50ce6332,0xf840b7ba963646e0,
0516     0xbd176620a501fbff,0xb650e5a93bc3d898,
0517     0xec5d3fa8ce427aff,0xa3e51f138ab4cebe,
0518     0x93ba47c980e98cdf,0xc66f336c36b10137,
0519     0xb8a8d9bbe123f017,0xb80b0047445d4184,
0520     0xe6d3102ad96cec1d,0xa60dc059157491e5,
0521     0x9043ea1ac7e41392,0x87c89837ad68db2f,
0522     0xb454e4a179dd1877,0x29babe4598c311fb,
0523     0xe16a1dc9d8545e94,0xf4296dd6fef3d67a,
0524     0x8ce2529e2734bb1d,0x1899e4a65f58660c,
0525     0xb01ae745b101e9e4,0x5ec05dcff72e7f8f,
0526     0xdc21a1171d42645d,0x76707543f4fa1f73,
0527     0x899504ae72497eba,0x6a06494a791c53a8,
0528     0xabfa45da0edbde69,0x487db9d17636892,
0529     0xd6f8d7509292d603,0x45a9d2845d3c42b6,
0530     0x865b86925b9bc5c2,0xb8a2392ba45a9b2,
0531     0xa7f26836f282b732,0x8e6cac7768d7141e,
0532     0xd1ef0244af2364ff,0x3207d795430cd926,
0533     0x8335616aed761f1f,0x7f44e6bd49e807b8,
0534     0xa402b9c5a8d3a6e7,0x5f16206c9c6209a6,
0535     0xcd036837130890a1,0x36dba887c37a8c0f,
0536     0x802221226be55a64,0xc2494954da2c9789,
0537     0xa02aa96b06deb0fd,0xf2db9baa10b7bd6c,
0538     0xc83553c5c8965d3d,0x6f92829494e5acc7,
0539     0xfa42a8b73abbf48c,0xcb772339ba1f17f9,
0540     0x9c69a97284b578d7,0xff2a760414536efb,
0541     0xc38413cf25e2d70d,0xfef5138519684aba,
0542     0xf46518c2ef5b8cd1,0x7eb258665fc25d69,
0543     0x98bf2f79d5993802,0xef2f773ffbd97a61,
0544     0xbeeefb584aff8603,0xaafb550ffacfd8fa,
0545     0xeeaaba2e5dbf6784,0x95ba2a53f983cf38,
0546     0x952ab45cfa97a0b2,0xdd945a747bf26183,
0547     0xba756174393d88df,0x94f971119aeef9e4,
0548     0xe912b9d1478ceb17,0x7a37cd5601aab85d,
0549     0x91abb422ccb812ee,0xac62e055c10ab33a,
0550     0xb616a12b7fe617aa,0x577b986b314d6009,
0551     0xe39c49765fdf9d94,0xed5a7e85fda0b80b,
0552     0x8e41ade9fbebc27d,0x14588f13be847307,
0553     0xb1d219647ae6b31c,0x596eb2d8ae258fc8,
0554     0xde469fbd99a05fe3,0x6fca5f8ed9aef3bb,
0555     0x8aec23d680043bee,0x25de7bb9480d5854,
0556     0xada72ccc20054ae9,0xaf561aa79a10ae6a,
0557     0xd910f7ff28069da4,0x1b2ba1518094da04,
0558     0x87aa9aff79042286,0x90fb44d2f05d0842,
0559     0xa99541bf57452b28,0x353a1607ac744a53,
0560     0xd3fa922f2d1675f2,0x42889b8997915ce8,
0561     0x847c9b5d7c2e09b7,0x69956135febada11,
0562     0xa59bc234db398c25,0x43fab9837e699095,
0563     0xcf02b2c21207ef2e,0x94f967e45e03f4bb,
0564     0x8161afb94b44f57d,0x1d1be0eebac278f5,
0565     0xa1ba1ba79e1632dc,0x6462d92a69731732,
0566     0xca28a291859bbf93,0x7d7b8f7503cfdcfe,
0567     0xfcb2cb35e702af78,0x5cda735244c3d43e,
0568     0x9defbf01b061adab,0x3a0888136afa64a7,
0569     0xc56baec21c7a1916,0x88aaa1845b8fdd0,
0570     0xf6c69a72a3989f5b,0x8aad549e57273d45,
0571     0x9a3c2087a63f6399,0x36ac54e2f678864b,
0572     0xc0cb28a98fcf3c7f,0x84576a1bb416a7dd,
0573     0xf0fdf2d3f3c30b9f,0x656d44a2a11c51d5,
0574     0x969eb7c47859e743,0x9f644ae5a4b1b325,
0575     0xbc4665b596706114,0x873d5d9f0dde1fee,
0576     0xeb57ff22fc0c7959,0xa90cb506d155a7ea,
0577     0x9316ff75dd87cbd8,0x9a7f12442d588f2,
0578     0xb7dcbf5354e9bece,0xc11ed6d538aeb2f,
0579     0xe5d3ef282a242e81,0x8f1668c8a86da5fa,
0580     0x8fa475791a569d10,0xf96e017d694487bc,
0581     0xb38d92d760ec4455,0x37c981dcc395a9ac,
0582     0xe070f78d3927556a,0x85bbe253f47b1417,
0583     0x8c469ab843b89562,0x93956d7478ccec8e,
0584     0xaf58416654a6babb,0x387ac8d1970027b2,
0585     0xdb2e51bfe9d0696a,0x6997b05fcc0319e,
0586     0x88fcf317f22241e2,0x441fece3bdf81f03,
0587     0xab3c2fddeeaad25a,0xd527e81cad7626c3,
0588     0xd60b3bd56a5586f1,0x8a71e223d8d3b074,
0589     0x85c7056562757456,0xf6872d5667844e49,
0590     0xa738c6bebb12d16c,0xb428f8ac016561db,
0591     0xd106f86e69d785c7,0xe13336d701beba52,
0592     0x82a45b450226b39c,0xecc0024661173473,
0593     0xa34d721642b06084,0x27f002d7f95d0190,
0594     0xcc20ce9bd35c78a5,0x31ec038df7b441f4,
0595     0xff290242c83396ce,0x7e67047175a15271,
0596     0x9f79a169bd203e41,0xf0062c6e984d386,
0597     0xc75809c42c684dd1,0x52c07b78a3e60868,
0598     0xf92e0c3537826145,0xa7709a56ccdf8a82,
0599     0x9bbcc7a142b17ccb,0x88a66076400bb691,
0600     0xc2abf989935ddbfe,0x6acff893d00ea435,
0601     0xf356f7ebf83552fe,0x583f6b8c4124d43,
0602     0x98165af37b2153de,0xc3727a337a8b704a,
0603     0xbe1bf1b059e9a8d6,0x744f18c0592e4c5c,
0604     0xeda2ee1c7064130c,0x1162def06f79df73,
0605     0x9485d4d1c63e8be7,0x8addcb5645ac2ba8,
0606     0xb9a74a0637ce2ee1,0x6d953e2bd7173692,
0607     0xe8111c87c5c1ba99,0xc8fa8db6ccdd0437,
0608     0x910ab1d4db9914a0,0x1d9c9892400a22a2,
0609     0xb54d5e4a127f59c8,0x2503beb6d00cab4b,
0610     0xe2a0b5dc971f303a,0x2e44ae64840fd61d,
0611     0x8da471a9de737e24,0x5ceaecfed289e5d2,
0612     0xb10d8e1456105dad,0x7425a83e872c5f47,
0613     0xdd50f1996b947518,0xd12f124e28f77719,
0614     0x8a5296ffe33cc92f,0x82bd6b70d99aaa6f,
0615     0xace73cbfdc0bfb7b,0x636cc64d1001550b,
0616     0xd8210befd30efa5a,0x3c47f7e05401aa4e,
0617     0x8714a775e3e95c78,0x65acfaec34810a71,
0618     0xa8d9d1535ce3b396,0x7f1839a741a14d0d,
0619     0xd31045a8341ca07c,0x1ede48111209a050,
0620     0x83ea2b892091e44d,0x934aed0aab460432,
0621     0xa4e4b66b68b65d60,0xf81da84d5617853f,
0622     0xce1de40642e3f4b9,0x36251260ab9d668e,
0623     0x80d2ae83e9ce78f3,0xc1d72b7c6b426019,
0624     0xa1075a24e4421730,0xb24cf65b8612f81f,
0625     0xc94930ae1d529cfc,0xdee033f26797b627,
0626     0xfb9b7cd9a4a7443c,0x169840ef017da3b1,
0627     0x9d412e0806e88aa5,0x8e1f289560ee864e,
0628     0xc491798a08a2ad4e,0xf1a6f2bab92a27e2,
0629     0xf5b5d7ec8acb58a2,0xae10af696774b1db,
0630     0x9991a6f3d6bf1765,0xacca6da1e0a8ef29,
0631     0xbff610b0cc6edd3f,0x17fd090a58d32af3,
0632     0xeff394dcff8a948e,0xddfc4b4cef07f5b0,
0633     0x95f83d0a1fb69cd9,0x4abdaf101564f98e,
0634     0xbb764c4ca7a4440f,0x9d6d1ad41abe37f1,
0635     0xea53df5fd18d5513,0x84c86189216dc5ed,
0636     0x92746b9be2f8552c,0x32fd3cf5b4e49bb4,
0637     0xb7118682dbb66a77,0x3fbc8c33221dc2a1,
0638     0xe4d5e82392a40515,0xfabaf3feaa5334a,
0639     0x8f05b1163ba6832d,0x29cb4d87f2a7400e,
0640     0xb2c71d5bca9023f8,0x743e20e9ef511012,
0641     0xdf78e4b2bd342cf6,0x914da9246b255416,
0642     0x8bab8eefb6409c1a,0x1ad089b6c2f7548e,
0643     0xae9672aba3d0c320,0xa184ac2473b529b1,
0644     0xda3c0f568cc4f3e8,0xc9e5d72d90a2741e,
0645     0x8865899617fb1871,0x7e2fa67c7a658892,
0646     0xaa7eebfb9df9de8d,0xddbb901b98feeab7,
0647     0xd51ea6fa85785631,0x552a74227f3ea565,
0648     0x8533285c936b35de,0xd53a88958f87275f,
0649     0xa67ff273b8460356,0x8a892abaf368f137,
0650     0xd01fef10a657842c,0x2d2b7569b0432d85,
0651     0x8213f56a67f6b29b,0x9c3b29620e29fc73,
0652     0xa298f2c501f45f42,0x8349f3ba91b47b8f,
0653     0xcb3f2f7642717713,0x241c70a936219a73,
0654     0xfe0efb53d30dd4d7,0xed238cd383aa0110,
0655     0x9ec95d1463e8a506,0xf4363804324a40aa,
0656     0xc67bb4597ce2ce48,0xb143c6053edcd0d5,
0657     0xf81aa16fdc1b81da,0xdd94b7868e94050a,
0658     0x9b10a4e5e9913128,0xca7cf2b4191c8326,
0659     0xc1d4ce1f63f57d72,0xfd1c2f611f63a3f0,
0660     0xf24a01a73cf2dccf,0xbc633b39673c8cec,
0661     0x976e41088617ca01,0xd5be0503e085d813,
0662     0xbd49d14aa79dbc82,0x4b2d8644d8a74e18,
0663     0xec9c459d51852ba2,0xddf8e7d60ed1219e,
0664     0x93e1ab8252f33b45,0xcabb90e5c942b503,
0665     0xb8da1662e7b00a17,0x3d6a751f3b936243,
0666     0xe7109bfba19c0c9d,0xcc512670a783ad4,
0667     0x906a617d450187e2,0x27fb2b80668b24c5,
0668     0xb484f9dc9641e9da,0xb1f9f660802dedf6,
0669     0xe1a63853bbd26451,0x5e7873f8a0396973,
0670     0x8d07e33455637eb2,0xdb0b487b6423e1e8,
0671     0xb049dc016abc5e5f,0x91ce1a9a3d2cda62,
0672     0xdc5c5301c56b75f7,0x7641a140cc7810fb,
0673     0x89b9b3e11b6329ba,0xa9e904c87fcb0a9d,
0674     0xac2820d9623bf429,0x546345fa9fbdcd44,
0675     0xd732290fbacaf133,0xa97c177947ad4095,
0676     0x867f59a9d4bed6c0,0x49ed8eabcccc485d,
0677     0xa81f301449ee8c70,0x5c68f256bfff5a74,
0678     0xd226fc195c6a2f8c,0x73832eec6fff3111,
0679     0x83585d8fd9c25db7,0xc831fd53c5ff7eab,
0680     0xa42e74f3d032f525,0xba3e7ca8b77f5e55,
0681     0xcd3a1230c43fb26f,0x28ce1bd2e55f35eb,
0682     0x80444b5e7aa7cf85,0x7980d163cf5b81b3,
0683     0xa0555e361951c366,0xd7e105bcc332621f,
0684     0xc86ab5c39fa63440,0x8dd9472bf3fefaa7,
0685     0xfa856334878fc150,0xb14f98f6f0feb951,
0686     0x9c935e00d4b9d8d2,0x6ed1bf9a569f33d3,
0687     0xc3b8358109e84f07,0xa862f80ec4700c8,
0688     0xf4a642e14c6262c8,0xcd27bb612758c0fa,
0689     0x98e7e9cccfbd7dbd,0x8038d51cb897789c,
0690     0xbf21e44003acdd2c,0xe0470a63e6bd56c3,
0691     0xeeea5d5004981478,0x1858ccfce06cac74,
0692     0x95527a5202df0ccb,0xf37801e0c43ebc8,
0693     0xbaa718e68396cffd,0xd30560258f54e6ba,
0694     0xe950df20247c83fd,0x47c6b82ef32a2069,
0695     0x91d28b7416cdd27e,0x4cdc331d57fa5441,
0696     0xb6472e511c81471d,0xe0133fe4adf8e952,
0697     0xe3d8f9e563a198e5,0x58180fddd97723a6,
0698     0x8e679c2f5e44ff8f,0x570f09eaa7ea7648,};
0699 };
0700
0701 template <class unused>
0702 constexpr uint64_t powers_template<unused>::power_of_five_128[number_of_entries];
0703
0704 using powers = powers_template<>;
0705
0706 }}}} // namespace fast_float
0707
0708 #endif