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pow10.go
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pow10.go
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package fptest
// pow10wide is the table of powers of ten 10^q (q >= 0)
// represented as 128-bit floating-point mantissas.
//
// pow10wide[q] = 10^q << 127 >> Floor(q * log2(10))
// 10^q is approximately pow10wide[q] * 2^(Floor(q * log2(10)) - 127)
var pow10wide = [...][2]uint64{
{0x8000000000000000, 0x0000000000000000},
{0xa000000000000000, 0x0000000000000000},
{0xc800000000000000, 0x0000000000000000},
{0xfa00000000000000, 0x0000000000000000},
{0x9c40000000000000, 0x0000000000000000},
{0xc350000000000000, 0x0000000000000000},
{0xf424000000000000, 0x0000000000000000},
{0x9896800000000000, 0x0000000000000000},
{0xbebc200000000000, 0x0000000000000000},
{0xee6b280000000000, 0x0000000000000000},
{0x9502f90000000000, 0x0000000000000000},
{0xba43b74000000000, 0x0000000000000000},
{0xe8d4a51000000000, 0x0000000000000000},
{0x9184e72a00000000, 0x0000000000000000},
{0xb5e620f480000000, 0x0000000000000000},
{0xe35fa931a0000000, 0x0000000000000000},
{0x8e1bc9bf04000000, 0x0000000000000000},
{0xb1a2bc2ec5000000, 0x0000000000000000},
{0xde0b6b3a76400000, 0x0000000000000000},
{0x8ac7230489e80000, 0x0000000000000000},
{0xad78ebc5ac620000, 0x0000000000000000},
{0xd8d726b7177a8000, 0x0000000000000000},
{0x878678326eac9000, 0x0000000000000000},
{0xa968163f0a57b400, 0x0000000000000000},
{0xd3c21bcecceda100, 0x0000000000000000},
{0x84595161401484a0, 0x0000000000000000},
{0xa56fa5b99019a5c8, 0x0000000000000000},
{0xcecb8f27f4200f3a, 0x0000000000000000},
{0x813f3978f8940984, 0x4000000000000000},
{0xa18f07d736b90be5, 0x5000000000000000},
{0xc9f2c9cd04674ede, 0xa400000000000000},
{0xfc6f7c4045812296, 0x4d00000000000000},
{0x9dc5ada82b70b59d, 0xf020000000000000},
{0xc5371912364ce305, 0x6c28000000000000},
{0xf684df56c3e01bc6, 0xc732000000000000},
{0x9a130b963a6c115c, 0x3c7f400000000000},
{0xc097ce7bc90715b3, 0x4b9f100000000000},
{0xf0bdc21abb48db20, 0x1e86d40000000000},
{0x96769950b50d88f4, 0x1314448000000000},
{0xbc143fa4e250eb31, 0x17d955a000000000},
{0xeb194f8e1ae525fd, 0x5dcfab0800000000},
{0x92efd1b8d0cf37be, 0x5aa1cae500000000},
{0xb7abc627050305ad, 0xf14a3d9e40000000},
{0xe596b7b0c643c719, 0x6d9ccd05d0000000},
{0x8f7e32ce7bea5c6f, 0xe4820023a2000000},
{0xb35dbf821ae4f38b, 0xdda2802c8a800000},
{0xe0352f62a19e306e, 0xd50b2037ad200000},
{0x8c213d9da502de45, 0x4526f422cc340000},
{0xaf298d050e4395d6, 0x9670b12b7f410000},
{0xdaf3f04651d47b4c, 0x3c0cdd765f114000},
{0x88d8762bf324cd0f, 0xa5880a69fb6ac800},
{0xab0e93b6efee0053, 0x8eea0d047a457a00},
{0xd5d238a4abe98068, 0x72a4904598d6d880},
{0x85a36366eb71f041, 0x47a6da2b7f864750},
{0xa70c3c40a64e6c51, 0x999090b65f67d924},
{0xd0cf4b50cfe20765, 0xfff4b4e3f741cf6d},
{0x82818f1281ed449f, 0xbff8f10e7a8921a4},
{0xa321f2d7226895c7, 0xaff72d52192b6a0d},
{0xcbea6f8ceb02bb39, 0x9bf4f8a69f764490},
{0xfee50b7025c36a08, 0x02f236d04753d5b4},
{0x9f4f2726179a2245, 0x01d762422c946590},
{0xc722f0ef9d80aad6, 0x424d3ad2b7b97ef5},
{0xf8ebad2b84e0d58b, 0xd2e0898765a7deb2},
{0x9b934c3b330c8577, 0x63cc55f49f88eb2f},
{0xc2781f49ffcfa6d5, 0x3cbf6b71c76b25fb},
{0xf316271c7fc3908a, 0x8bef464e3945ef7a},
{0x97edd871cfda3a56, 0x97758bf0e3cbb5ac},
{0xbde94e8e43d0c8ec, 0x3d52eeed1cbea317},
{0xed63a231d4c4fb27, 0x4ca7aaa863ee4bdd},
{0x945e455f24fb1cf8, 0x8fe8caa93e74ef6a},
{0xb975d6b6ee39e436, 0xb3e2fd538e122b44},
{0xe7d34c64a9c85d44, 0x60dbbca87196b616},
{0x90e40fbeea1d3a4a, 0xbc8955e946fe31cd},
{0xb51d13aea4a488dd, 0x6babab6398bdbe41},
{0xe264589a4dcdab14, 0xc696963c7eed2dd1},
{0x8d7eb76070a08aec, 0xfc1e1de5cf543ca2},
{0xb0de65388cc8ada8, 0x3b25a55f43294bcb},
{0xdd15fe86affad912, 0x49ef0eb713f39ebe},
{0x8a2dbf142dfcc7ab, 0x6e3569326c784337},
{0xacb92ed9397bf996, 0x49c2c37f07965404},
{0xd7e77a8f87daf7fb, 0xdc33745ec97be906},
{0x86f0ac99b4e8dafd, 0x69a028bb3ded71a3},
{0xa8acd7c0222311bc, 0xc40832ea0d68ce0c},
{0xd2d80db02aabd62b, 0xf50a3fa490c30190},
{0x83c7088e1aab65db, 0x792667c6da79e0fa},
{0xa4b8cab1a1563f52, 0x577001b891185938},
{0xcde6fd5e09abcf26, 0xed4c0226b55e6f86},
{0x80b05e5ac60b6178, 0x544f8158315b05b4},
{0xa0dc75f1778e39d6, 0x696361ae3db1c721},
{0xc913936dd571c84c, 0x03bc3a19cd1e38e9},
{0xfb5878494ace3a5f, 0x04ab48a04065c723},
{0x9d174b2dcec0e47b, 0x62eb0d64283f9c76},
{0xc45d1df942711d9a, 0x3ba5d0bd324f8394},
{0xf5746577930d6500, 0xca8f44ec7ee36479},
{0x9968bf6abbe85f20, 0x7e998b13cf4e1ecb},
{0xbfc2ef456ae276e8, 0x9e3fedd8c321a67e},
{0xefb3ab16c59b14a2, 0xc5cfe94ef3ea101e},
{0x95d04aee3b80ece5, 0xbba1f1d158724a12},
{0xbb445da9ca61281f, 0x2a8a6e45ae8edc97},
{0xea1575143cf97226, 0xf52d09d71a3293bd},
{0x924d692ca61be758, 0x593c2626705f9c56},
{0xb6e0c377cfa2e12e, 0x6f8b2fb00c77836c},
{0xe498f455c38b997a, 0x0b6dfb9c0f956447},
{0x8edf98b59a373fec, 0x4724bd4189bd5eac},
{0xb2977ee300c50fe7, 0x58edec91ec2cb657},
{0xdf3d5e9bc0f653e1, 0x2f2967b66737e3ed},
{0x8b865b215899f46c, 0xbd79e0d20082ee74},
{0xae67f1e9aec07187, 0xecd8590680a3aa11},
{0xda01ee641a708de9, 0xe80e6f4820cc9495},
{0x884134fe908658b2, 0x3109058d147fdcdd},
{0xaa51823e34a7eede, 0xbd4b46f0599fd415},
{0xd4e5e2cdc1d1ea96, 0x6c9e18ac7007c91a},
{0x850fadc09923329e, 0x03e2cf6bc604ddb0},
{0xa6539930bf6bff45, 0x84db8346b786151c},
{0xcfe87f7cef46ff16, 0xe612641865679a63},
{0x81f14fae158c5f6e, 0x4fcb7e8f3f60c07e},
{0xa26da3999aef7749, 0xe3be5e330f38f09d},
{0xcb090c8001ab551c, 0x5cadf5bfd3072cc5},
{0xfdcb4fa002162a63, 0x73d9732fc7c8f7f6},
{0x9e9f11c4014dda7e, 0x2867e7fddcdd9afa},
{0xc646d63501a1511d, 0xb281e1fd541501b8},
{0xf7d88bc24209a565, 0x1f225a7ca91a4226},
{0x9ae757596946075f, 0x3375788de9b06958},
{0xc1a12d2fc3978937, 0x0052d6b1641c83ae},
{0xf209787bb47d6b84, 0xc0678c5dbd23a49a},
{0x9745eb4d50ce6332, 0xf840b7ba963646e0},
{0xbd176620a501fbff, 0xb650e5a93bc3d898},
{0xec5d3fa8ce427aff, 0xa3e51f138ab4cebe},
{0x93ba47c980e98cdf, 0xc66f336c36b10137},
{0xb8a8d9bbe123f017, 0xb80b0047445d4184},
{0xe6d3102ad96cec1d, 0xa60dc059157491e5},
{0x9043ea1ac7e41392, 0x87c89837ad68db2f},
{0xb454e4a179dd1877, 0x29babe4598c311fb},
{0xe16a1dc9d8545e94, 0xf4296dd6fef3d67a},
{0x8ce2529e2734bb1d, 0x1899e4a65f58660c},
{0xb01ae745b101e9e4, 0x5ec05dcff72e7f8f},
{0xdc21a1171d42645d, 0x76707543f4fa1f73},
{0x899504ae72497eba, 0x6a06494a791c53a8},
{0xabfa45da0edbde69, 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},
{0x952ab45cfa97a0b2, 0xdd945a747bf26183},
{0xba756174393d88df, 0x94f971119aeef9e4},
{0xe912b9d1478ceb17, 0x7a37cd5601aab85d},
{0x91abb422ccb812ee, 0xac62e055c10ab33a},
{0xb616a12b7fe617aa, 0x577b986b314d6009},
{0xe39c49765fdf9d94, 0xed5a7e85fda0b80b},
{0x8e41ade9fbebc27d, 0x14588f13be847307},
{0xb1d219647ae6b31c, 0x596eb2d8ae258fc8},
{0xde469fbd99a05fe3, 0x6fca5f8ed9aef3bb},
{0x8aec23d680043bee, 0x25de7bb9480d5854},
{0xada72ccc20054ae9, 0xaf561aa79a10ae6a},
{0xd910f7ff28069da4, 0x1b2ba1518094da04},
{0x87aa9aff79042286, 0x90fb44d2f05d0842},
{0xa99541bf57452b28, 0x353a1607ac744a53},
{0xd3fa922f2d1675f2, 0x42889b8997915ce8},
{0x847c9b5d7c2e09b7, 0x69956135febada11},
{0xa59bc234db398c25, 0x43fab9837e699095},
{0xcf02b2c21207ef2e, 0x94f967e45e03f4bb},
{0x8161afb94b44f57d, 0x1d1be0eebac278f5},
{0xa1ba1ba79e1632dc, 0x6462d92a69731732},
{0xca28a291859bbf93, 0x7d7b8f7503cfdcfe},
{0xfcb2cb35e702af78, 0x5cda735244c3d43e},
{0x9defbf01b061adab, 0x3a0888136afa64a7},
{0xc56baec21c7a1916, 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},
{0x9a65406d44a5c903, 0x737f74f1dc043328},
{0xc0fe908895cf3b44, 0x505f522e53053ff2},
{0xf13e34aabb430a15, 0x647726b9e7c68fef},
{0x96c6e0eab509e64d, 0x5eca783430dc19f5},
{0xbc789925624c5fe0, 0xb67d16413d132072},
{0xeb96bf6ebadf77d8, 0xe41c5bd18c57e88f},
{0x933e37a534cbaae7, 0x8e91b962f7b6f159},
{0xb80dc58e81fe95a1, 0x723627bbb5a4adb0},
{0xe61136f2227e3b09, 0xcec3b1aaa30dd91c},
{0x8fcac257558ee4e6, 0x213a4f0aa5e8a7b1},
{0xb3bd72ed2af29e1f, 0xa988e2cd4f62d19d},
{0xe0accfa875af45a7, 0x93eb1b80a33b8605},
{0x8c6c01c9498d8b88, 0xbc72f130660533c3},
{0xaf87023b9bf0ee6a, 0xeb8fad7c7f8680b4},
{0xdb68c2ca82ed2a05, 0xa67398db9f6820e1},
{0x892179be91d43a43, 0x88083f8943a1148c},
}
// invpow10wide is the table of 128-bit floating-point mantissas of 10^-q
// for q > 0.
//
// invpow10wide[q] = Ceil(1 << (128 + Floor(q * log2(10))) / 10^q)
//
// 10^-q is about invpow10wide[q] * 2^(Floor(-q * log2(10)) - 127)
var invpow10wide = [...][2]uint64{
{0, 0}, // never used
{0xcccccccccccccccc, 0xcccccccccccccccd},
{0xa3d70a3d70a3d70a, 0x3d70a3d70a3d70a4},
{0x83126e978d4fdf3b, 0x645a1cac083126ea},
{0xd1b71758e219652b, 0xd3c36113404ea4a9},
{0xa7c5ac471b478423, 0x0fcf80dc33721d54},
{0x8637bd05af6c69b5, 0xa63f9a49c2c1b110},
{0xd6bf94d5e57a42bc, 0x3d32907604691b4d},
{0xabcc77118461cefc, 0xfdc20d2b36ba7c3e},
{0x89705f4136b4a597, 0x31680a88f8953031},
{0xdbe6fecebdedd5be, 0xb573440e5a884d1c},
{0xafebff0bcb24aafe, 0xf78f69a51539d749},
{0x8cbccc096f5088cb, 0xf93f87b7442e45d4},
{0xe12e13424bb40e13, 0x2865a5f206b06fba},
{0xb424dc35095cd80f, 0x538484c19ef38c95},
{0x901d7cf73ab0acd9, 0x0f9d37014bf60a11},
{0xe69594bec44de15b, 0x4c2ebe687989a9b4},
{0xb877aa3236a4b449, 0x09befeb9fad487c3},
{0x9392ee8e921d5d07, 0x3aff322e62439fd0},
{0xec1e4a7db69561a5, 0x2b31e9e3d06c32e6},
{0xbce5086492111aea, 0x88f4bb1ca6bcf585},
{0x971da05074da7bee, 0xd3f6fc16ebca5e04},
{0xf1c90080baf72cb1, 0x5324c68b12dd6339},
{0xc16d9a0095928a27, 0x75b7053c0f178294},
{0x9abe14cd44753b52, 0xc4926a9672793543},
{0xf79687aed3eec551, 0x3a83ddbd83f52205},
{0xc612062576589dda, 0x95364afe032a819e},
{0x9e74d1b791e07e48, 0x775ea264cf55347e},
{0xfd87b5f28300ca0d, 0x8bca9d6e188853fd},
{0xcad2f7f5359a3b3e, 0x096ee45813a04331},
{0xa2425ff75e14fc31, 0xa1258379a94d028e},
{0x81ceb32c4b43fcf4, 0x80eacf948770ced8},
{0xcfb11ead453994ba, 0x67de18eda5814af3},
{0xa6274bbdd0fadd61, 0xecb1ad8aeacdd58f},
{0x84ec3c97da624ab4, 0xbd5af13bef0b113f},
{0xd4ad2dbfc3d07787, 0x955e4ec64b44e865},
{0xaa242499697392d2, 0xdde50bd1d5d0b9ea},
{0x881cea14545c7575, 0x7e50d64177da2e55},
{0xd9c7dced53c72255, 0x96e7bd358c904a22},
{0xae397d8aa96c1b77, 0xabec975e0a0d081b},
{0x8b61313bbabce2c6, 0x2323ac4b3b3da016},
{0xdf01e85f912e37a3, 0x6b6c46dec52f6689},
{0xb267ed1940f1c61c, 0x55f038b237591ed4},
{0x8eb98a7a9a5b04e3, 0x77f3608e92adb243},
{0xe45c10c42a2b3b05, 0x8cb89a7db77c506b},
{0xb6b00d69bb55c8d1, 0x3d607b97c5fd0d23},
{0x9226712162ab070d, 0xcab3961304ca70e9},
{0xe9d71b689dde71af, 0xaab8f01e6e10b4a7},
{0xbb127c53b17ec159, 0x5560c018580d5d53},
{0x95a8637627989aad, 0xdde7001379a44aa9},
{0xef73d256a5c0f77c, 0x963e66858f6d4441},
{0xbf8fdb78849a5f96, 0xde98520472bdd034},
{0x993fe2c6d07b7fab, 0xe546a8038efe402a},
{0xf53304714d9265df, 0xd53dd99f4b3066a9},
{0xc428d05aa4751e4c, 0xaa97e14c3c26b887},
{0x9ced737bb6c4183d, 0x55464dd69685606c},
{0xfb158592be068d2e, 0xeed6e2f0f0d56713},
{0xc8de047564d20a8b, 0xf245825a5a445276},
{0xa0b19d2ab70e6ed6, 0x5b6aceaeae9d0ec5},
{0x808e17555f3ebf11, 0xe2bbd88bbee40bd1},
{0xcdb02555653131b6, 0x3792f412cb06794e},
{0xa48ceaaab75a8e2b, 0x5fa8c3423c052dd8},
{0x83a3eeeef9153e89, 0x1953cf68300424ad},
{0xd29fe4b18e88640e, 0x8eec7f0d19a03aae},
{0xa87fea27a539e9a5, 0x3f2398d747b36225},
{0x86ccbb52ea94baea, 0x98e947129fc2b4ea},
{0xd7adf884aa879177, 0x5b0ed81dcc6abb10},
{0xac8b2d36eed2dac5, 0xe272467e3d222f40},
{0x8a08f0f8bf0f156b, 0x1b8e9ecb641b5900},
{0xdcdb1b2798182244, 0xf8e431456cf88e66},
{0xb0af48ec79ace837, 0x2d835a9df0c6d852},
{0x8d590723948a535f, 0x579c487e5a38ad0f},
{0xe2280b6c20dd5232, 0x25c6da63c38de1b1},
{0xb4ecd5f01a4aa828, 0x1e38aeb6360b1af4},
{0x90bd77f3483bb9b9, 0xb1c6f22b5e6f48c3},
{0xe7958cb87392c2c2, 0xb60b1d1230b20e05},
{0xb94470938fa89bce, 0xf808e40e8d5b3e6a},
{0x9436c0760c86e30b, 0xf9a0b6720aaf6522},
{0xed246723473e3813, 0x290123e9aab23b69},
{0xbdb6b8e905cb600f, 0x5400e987bbc1c921},
{0x97c560ba6b0919a5, 0xdccd879fc967d41b},
{0xf2d56790ab41c2a2, 0xfae27299423fb9c4},
{0xc24452da229b021b, 0xfbe85badce996169},
{0x9b69dbe1b548ce7c, 0xc986afbe3ee11abb},
{0xf8a95fcf88747d94, 0x75a44c6397ce912b},
{0xc6ede63fa05d3143, 0x91503d1c79720dbc},
{0x9f24b832e6b0f436, 0x0dd9ca7d2df4d7ca},
{0xfea126b7d78186bc, 0xe2f610c84987bfa9},
{0xcbb41ef979346bca, 0x4f2b40a03ad2ffba},
{0xa2f67f2dfa90563b, 0x728900802f0f32fb},
{0x825ecc24c873782f, 0x8ed400668c0c28c9},
{0xd097ad07a71f26b2, 0x7e2000a41346a7a8},
{0xa6dfbd9fb8e5b88e, 0xcb4ccd500f6bb953},
{0x857fcae62d8493a5, 0x6f70a4400c562ddc},
{0xd59944a37c0752a2, 0x4be76d3346f04960},
{0xaae103b5fcd2a881, 0xd652bdc29f26a11a},
{0x88b402f7fd75539b, 0x11dbcb0218ebb415},
{0xdab99e59958885c4, 0xe95fab368e45ecee},
{0xaefae51477a06b03, 0xede622920b6b23f2},
{0x8bfbea76c619ef36, 0x57eb4edb3c55b65b},
{0xdff9772470297ebd, 0x59787e2b93bc56f8},
{0xb32df8e9f3546564, 0x47939822dc96abfa},
{0x8f57fa54c2a9eab6, 0x9fa946824a12232e},
{0xe55990879ddcaabd, 0xcc420a6a101d0516},
{0xb77ada0617e3bbcb, 0x09ce6ebb40173745},
{0x92c8ae6b464fc96f, 0x3b0b8bc90012929e},
{0xeadab0aba3b2dbe5, 0x2b45ac74ccea842f},
{0xbbe226efb628afea, 0x890489f70a55368c},
{0x964e858c91ba2655, 0x3a6a07f8d510f870},
{0xf07da27a82c37088, 0x5d767327bb4e5a4d},
{0xc06481fb9bcf8d39, 0xe45ec2862f71e1d7},
{0x99ea0196163fa42e, 0x504bced1bf8e4e46},
{0xf64335bcf065d37d, 0x4d4617b5ff4a16d6},
{0xc5029163f384a931, 0x0a9e795e65d4df12},
{0x9d9ba7832936edc0, 0xd54b944b84aa4c0e},
{0xfc2c3f3841f17c67, 0xbbac2078d443ace3},
{0xc9bcff6034c13052, 0xfc89b393dd02f0b6},
{0xa163ff802a3426a8, 0xca07c2dcb0cf26f8},
{0x811ccc668829b887, 0x0806357d5a3f5260},
{0xce947a3da6a9273e, 0x733d226229feea33},
{0xa54394fe1eedb8fe, 0xc2974eb4ee658829},
{0x843610cb4bf160cb, 0xcedf722a585139bb},
{0xd389b47879823479, 0x4aff1d108d4ec2c4},
{0xa93af6c6c79b5d2d, 0xd598e40d3dd89bd0},
{0x87625f056c7c4a8b, 0x11471cd764ad4973},
{0xd89d64d57a607744, 0xe871c7bf077ba8b8},
{0xad4ab7112eb3929d, 0x86c16c98d2c953c7},
{0x8aa22c0dbef60ee4, 0x6bcdf07a423aa96c},
{0xddd0467c64bce4a0, 0xac7cb3f6d05ddbdf},
{0xb1736b96b6fd83b3, 0xbd308ff8a6b17cb3},
{0x8df5efabc5979c8f, 0xca8d3ffa1ef463c2},
{0xe3231912d5bf60e6, 0x10e1fff697ed6c6a},
{0xb5b5ada8aaff80b8, 0x0d819992132456bb},
{0x915e2486ef32cd60, 0x0ace1474dc1d122f},
{0xe896a0d7e51e1566, 0x77b020baf9c81d18},
{0xba121a4650e4ddeb, 0x92f34d62616ce414},
{0x94db483840b717ef, 0xa8c2a44eb4571cdd},
{0xee2ba6c0678b597f, 0x746aa07ded582e2d},
{0xbe89523386091465, 0xf6bbb397f1135824},
{0x986ddb5c6b3a76b7, 0xf89629465a75e01d},
{0xf3e2f893dec3f126, 0x5a89dba3c3efccfb},
{0xc31bfa0fe5698db8, 0x486e494fcff30a63},
{0x9c1661a651213e2d, 0x06bea10ca65c084f},
{0xf9bd690a1b68637b, 0x3dfdce7aa3c673b1},
{0xc7caba6e7c5382c8, 0xfe64a52ee96b8fc1},
{0x9fd561f1fd0f9bd3, 0xfeb6ea8bedefa634},
{0xffbbcfe994e5c61f, 0xfdf17746497f7053},
{0xcc963fee10b7d1b3, 0x318df905079926a9},
{0xa3ab66580d5fdaf5, 0xc13e60d0d2e0ebbb},
{0x82ef85133de648c4, 0x9a984d73dbe722fc},
{0xd17f3b51fca3a7a0, 0xf75a15862ca504c6},
{0xa798fc4196e952e7, 0x2c48113823b73705},
{0x8613fd0145877585, 0xbd06742ce95f5f37},
{0xd686619ba27255a2, 0xc80a537b0efefebe},
{0xab9eb47c81f5114f, 0x066ea92f3f326565},
{0x894bc396ce5da772, 0x6b8bba8c328eb784},
{0xdbac6c247d62a583, 0xdf45f746b74abf3a},
{0xafbd2350644eeacf, 0xe5d1929ef90898fb},
{0x8c974f7383725573, 0x1e414218c73a13fc},
{0xe0f218b8d25088b8, 0x306869c13ec3532d},
{0xb3f4e093db73a093, 0x59ed216765690f57},
{0x8ff71a0fe2c2e6dc, 0x47f0e785eaba72ac},
{0xe65829b3046b0afa, 0x0cb4a5a3112a5113},
{0xb84687c269ef3bfb, 0x3d5d514f40eea743},
{0x936b9fcebb25c995, 0xcab10dd900beec35},
{0xebdf661791d60f56, 0x111b495b3464ad22},
{0xbcb2b812db11a5de, 0x7415d448f6b6f0e8},
{0x96f5600f15a7b7e5, 0x29ab103a5ef8c0ba},
{0xf18899b1bc3f8ca1, 0xdc44e6c3cb279ac2},
{0xc13a148e3032d6e7, 0xe36a52363c1faf02},
{0x9a94dd3e8cf578b9, 0x82bb74f8301958cf},
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