significand_tables.hpp 33 KB

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  1. // Copyright 2020-2023 Daniel Lemire
  2. // Copyright 2023 Matt Borland
  3. // Distributed under the Boost Software License, Version 1.0.
  4. // https://www.boost.org/LICENSE_1_0.txt
  5. #ifndef BOOST_CHARCONV_DETAIL_SIGNIFICAND_TABLES_HPP
  6. #define BOOST_CHARCONV_DETAIL_SIGNIFICAND_TABLES_HPP
  7. #include <boost/charconv/detail/config.hpp>
  8. #include <cstdint>
  9. // The significand of a floating point number is often referred to as the mantissa.
  10. // Using the term mantissa is discouraged by IEEE 1516
  11. namespace boost { namespace charconv { namespace detail {
  12. // The significands of powers of ten from -308 to 308, extended out to sixty four
  13. // bits. The array contains the powers of ten approximated
  14. // as a 64-bit significand. It goes from 10^BOOST_CHARCONV_FASTFLOAT_SMALLEST_POWER to
  15. // 10^BOOST_CHARCONV_FASTFLOAT_LARGEST_POWER (inclusively).
  16. // The significand is truncated, and never rounded up.
  17. // Uses about 5KB.
  18. #if (!defined(BOOST_MSVC) || BOOST_MSVC != 1900)
  19. template <bool b>
  20. struct significand_template
  21. #else
  22. struct significands_table
  23. #endif
  24. {
  25. static constexpr std::uint64_t significand_64[] = {
  26. 0xa5ced43b7e3e9188, 0xcf42894a5dce35ea,
  27. 0x818995ce7aa0e1b2, 0xa1ebfb4219491a1f,
  28. 0xca66fa129f9b60a6, 0xfd00b897478238d0,
  29. 0x9e20735e8cb16382, 0xc5a890362fddbc62,
  30. 0xf712b443bbd52b7b, 0x9a6bb0aa55653b2d,
  31. 0xc1069cd4eabe89f8, 0xf148440a256e2c76,
  32. 0x96cd2a865764dbca, 0xbc807527ed3e12bc,
  33. 0xeba09271e88d976b, 0x93445b8731587ea3,
  34. 0xb8157268fdae9e4c, 0xe61acf033d1a45df,
  35. 0x8fd0c16206306bab, 0xb3c4f1ba87bc8696,
  36. 0xe0b62e2929aba83c, 0x8c71dcd9ba0b4925,
  37. 0xaf8e5410288e1b6f, 0xdb71e91432b1a24a,
  38. 0x892731ac9faf056e, 0xab70fe17c79ac6ca,
  39. 0xd64d3d9db981787d, 0x85f0468293f0eb4e,
  40. 0xa76c582338ed2621, 0xd1476e2c07286faa,
  41. 0x82cca4db847945ca, 0xa37fce126597973c,
  42. 0xcc5fc196fefd7d0c, 0xff77b1fcbebcdc4f,
  43. 0x9faacf3df73609b1, 0xc795830d75038c1d,
  44. 0xf97ae3d0d2446f25, 0x9becce62836ac577,
  45. 0xc2e801fb244576d5, 0xf3a20279ed56d48a,
  46. 0x9845418c345644d6, 0xbe5691ef416bd60c,
  47. 0xedec366b11c6cb8f, 0x94b3a202eb1c3f39,
  48. 0xb9e08a83a5e34f07, 0xe858ad248f5c22c9,
  49. 0x91376c36d99995be, 0xb58547448ffffb2d,
  50. 0xe2e69915b3fff9f9, 0x8dd01fad907ffc3b,
  51. 0xb1442798f49ffb4a, 0xdd95317f31c7fa1d,
  52. 0x8a7d3eef7f1cfc52, 0xad1c8eab5ee43b66,
  53. 0xd863b256369d4a40, 0x873e4f75e2224e68,
  54. 0xa90de3535aaae202, 0xd3515c2831559a83,
  55. 0x8412d9991ed58091, 0xa5178fff668ae0b6,
  56. 0xce5d73ff402d98e3, 0x80fa687f881c7f8e,
  57. 0xa139029f6a239f72, 0xc987434744ac874e,
  58. 0xfbe9141915d7a922, 0x9d71ac8fada6c9b5,
  59. 0xc4ce17b399107c22, 0xf6019da07f549b2b,
  60. 0x99c102844f94e0fb, 0xc0314325637a1939,
  61. 0xf03d93eebc589f88, 0x96267c7535b763b5,
  62. 0xbbb01b9283253ca2, 0xea9c227723ee8bcb,
  63. 0x92a1958a7675175f, 0xb749faed14125d36,
  64. 0xe51c79a85916f484, 0x8f31cc0937ae58d2,
  65. 0xb2fe3f0b8599ef07, 0xdfbdcece67006ac9,
  66. 0x8bd6a141006042bd, 0xaecc49914078536d,
  67. 0xda7f5bf590966848, 0x888f99797a5e012d,
  68. 0xaab37fd7d8f58178, 0xd5605fcdcf32e1d6,
  69. 0x855c3be0a17fcd26, 0xa6b34ad8c9dfc06f,
  70. 0xd0601d8efc57b08b, 0x823c12795db6ce57,
  71. 0xa2cb1717b52481ed, 0xcb7ddcdda26da268,
  72. 0xfe5d54150b090b02, 0x9efa548d26e5a6e1,
  73. 0xc6b8e9b0709f109a, 0xf867241c8cc6d4c0,
  74. 0x9b407691d7fc44f8, 0xc21094364dfb5636,
  75. 0xf294b943e17a2bc4, 0x979cf3ca6cec5b5a,
  76. 0xbd8430bd08277231, 0xece53cec4a314ebd,
  77. 0x940f4613ae5ed136, 0xb913179899f68584,
  78. 0xe757dd7ec07426e5, 0x9096ea6f3848984f,
  79. 0xb4bca50b065abe63, 0xe1ebce4dc7f16dfb,
  80. 0x8d3360f09cf6e4bd, 0xb080392cc4349dec,
  81. 0xdca04777f541c567, 0x89e42caaf9491b60,
  82. 0xac5d37d5b79b6239, 0xd77485cb25823ac7,
  83. 0x86a8d39ef77164bc, 0xa8530886b54dbdeb,
  84. 0xd267caa862a12d66, 0x8380dea93da4bc60,
  85. 0xa46116538d0deb78, 0xcd795be870516656,
  86. 0x806bd9714632dff6, 0xa086cfcd97bf97f3,
  87. 0xc8a883c0fdaf7df0, 0xfad2a4b13d1b5d6c,
  88. 0x9cc3a6eec6311a63, 0xc3f490aa77bd60fc,
  89. 0xf4f1b4d515acb93b, 0x991711052d8bf3c5,
  90. 0xbf5cd54678eef0b6, 0xef340a98172aace4,
  91. 0x9580869f0e7aac0e, 0xbae0a846d2195712,
  92. 0xe998d258869facd7, 0x91ff83775423cc06,
  93. 0xb67f6455292cbf08, 0xe41f3d6a7377eeca,
  94. 0x8e938662882af53e, 0xb23867fb2a35b28d,
  95. 0xdec681f9f4c31f31, 0x8b3c113c38f9f37e,
  96. 0xae0b158b4738705e, 0xd98ddaee19068c76,
  97. 0x87f8a8d4cfa417c9, 0xa9f6d30a038d1dbc,
  98. 0xd47487cc8470652b, 0x84c8d4dfd2c63f3b,
  99. 0xa5fb0a17c777cf09, 0xcf79cc9db955c2cc,
  100. 0x81ac1fe293d599bf, 0xa21727db38cb002f,
  101. 0xca9cf1d206fdc03b, 0xfd442e4688bd304a,
  102. 0x9e4a9cec15763e2e, 0xc5dd44271ad3cdba,
  103. 0xf7549530e188c128, 0x9a94dd3e8cf578b9,
  104. 0xc13a148e3032d6e7, 0xf18899b1bc3f8ca1,
  105. 0x96f5600f15a7b7e5, 0xbcb2b812db11a5de,
  106. 0xebdf661791d60f56, 0x936b9fcebb25c995,
  107. 0xb84687c269ef3bfb, 0xe65829b3046b0afa,
  108. 0x8ff71a0fe2c2e6dc, 0xb3f4e093db73a093,
  109. 0xe0f218b8d25088b8, 0x8c974f7383725573,
  110. 0xafbd2350644eeacf, 0xdbac6c247d62a583,
  111. 0x894bc396ce5da772, 0xab9eb47c81f5114f,
  112. 0xd686619ba27255a2, 0x8613fd0145877585,
  113. 0xa798fc4196e952e7, 0xd17f3b51fca3a7a0,
  114. 0x82ef85133de648c4, 0xa3ab66580d5fdaf5,
  115. 0xcc963fee10b7d1b3, 0xffbbcfe994e5c61f,
  116. 0x9fd561f1fd0f9bd3, 0xc7caba6e7c5382c8,
  117. 0xf9bd690a1b68637b, 0x9c1661a651213e2d,
  118. 0xc31bfa0fe5698db8, 0xf3e2f893dec3f126,
  119. 0x986ddb5c6b3a76b7, 0xbe89523386091465,
  120. 0xee2ba6c0678b597f, 0x94db483840b717ef,
  121. 0xba121a4650e4ddeb, 0xe896a0d7e51e1566,
  122. 0x915e2486ef32cd60, 0xb5b5ada8aaff80b8,
  123. 0xe3231912d5bf60e6, 0x8df5efabc5979c8f,
  124. 0xb1736b96b6fd83b3, 0xddd0467c64bce4a0,
  125. 0x8aa22c0dbef60ee4, 0xad4ab7112eb3929d,
  126. 0xd89d64d57a607744, 0x87625f056c7c4a8b,
  127. 0xa93af6c6c79b5d2d, 0xd389b47879823479,
  128. 0x843610cb4bf160cb, 0xa54394fe1eedb8fe,
  129. 0xce947a3da6a9273e, 0x811ccc668829b887,
  130. 0xa163ff802a3426a8, 0xc9bcff6034c13052,
  131. 0xfc2c3f3841f17c67, 0x9d9ba7832936edc0,
  132. 0xc5029163f384a931, 0xf64335bcf065d37d,
  133. 0x99ea0196163fa42e, 0xc06481fb9bcf8d39,
  134. 0xf07da27a82c37088, 0x964e858c91ba2655,
  135. 0xbbe226efb628afea, 0xeadab0aba3b2dbe5,
  136. 0x92c8ae6b464fc96f, 0xb77ada0617e3bbcb,
  137. 0xe55990879ddcaabd, 0x8f57fa54c2a9eab6,
  138. 0xb32df8e9f3546564, 0xdff9772470297ebd,
  139. 0x8bfbea76c619ef36, 0xaefae51477a06b03,
  140. 0xdab99e59958885c4, 0x88b402f7fd75539b,
  141. 0xaae103b5fcd2a881, 0xd59944a37c0752a2,
  142. 0x857fcae62d8493a5, 0xa6dfbd9fb8e5b88e,
  143. 0xd097ad07a71f26b2, 0x825ecc24c873782f,
  144. 0xa2f67f2dfa90563b, 0xcbb41ef979346bca,
  145. 0xfea126b7d78186bc, 0x9f24b832e6b0f436,
  146. 0xc6ede63fa05d3143, 0xf8a95fcf88747d94,
  147. 0x9b69dbe1b548ce7c, 0xc24452da229b021b,
  148. 0xf2d56790ab41c2a2, 0x97c560ba6b0919a5,
  149. 0xbdb6b8e905cb600f, 0xed246723473e3813,
  150. 0x9436c0760c86e30b, 0xb94470938fa89bce,
  151. 0xe7958cb87392c2c2, 0x90bd77f3483bb9b9,
  152. 0xb4ecd5f01a4aa828, 0xe2280b6c20dd5232,
  153. 0x8d590723948a535f, 0xb0af48ec79ace837,
  154. 0xdcdb1b2798182244, 0x8a08f0f8bf0f156b,
  155. 0xac8b2d36eed2dac5, 0xd7adf884aa879177,
  156. 0x86ccbb52ea94baea, 0xa87fea27a539e9a5,
  157. 0xd29fe4b18e88640e, 0x83a3eeeef9153e89,
  158. 0xa48ceaaab75a8e2b, 0xcdb02555653131b6,
  159. 0x808e17555f3ebf11, 0xa0b19d2ab70e6ed6,
  160. 0xc8de047564d20a8b, 0xfb158592be068d2e,
  161. 0x9ced737bb6c4183d, 0xc428d05aa4751e4c,
  162. 0xf53304714d9265df, 0x993fe2c6d07b7fab,
  163. 0xbf8fdb78849a5f96, 0xef73d256a5c0f77c,
  164. 0x95a8637627989aad, 0xbb127c53b17ec159,
  165. 0xe9d71b689dde71af, 0x9226712162ab070d,
  166. 0xb6b00d69bb55c8d1, 0xe45c10c42a2b3b05,
  167. 0x8eb98a7a9a5b04e3, 0xb267ed1940f1c61c,
  168. 0xdf01e85f912e37a3, 0x8b61313bbabce2c6,
  169. 0xae397d8aa96c1b77, 0xd9c7dced53c72255,
  170. 0x881cea14545c7575, 0xaa242499697392d2,
  171. 0xd4ad2dbfc3d07787, 0x84ec3c97da624ab4,
  172. 0xa6274bbdd0fadd61, 0xcfb11ead453994ba,
  173. 0x81ceb32c4b43fcf4, 0xa2425ff75e14fc31,
  174. 0xcad2f7f5359a3b3e, 0xfd87b5f28300ca0d,
  175. 0x9e74d1b791e07e48, 0xc612062576589dda,
  176. 0xf79687aed3eec551, 0x9abe14cd44753b52,
  177. 0xc16d9a0095928a27, 0xf1c90080baf72cb1,
  178. 0x971da05074da7bee, 0xbce5086492111aea,
  179. 0xec1e4a7db69561a5, 0x9392ee8e921d5d07,
  180. 0xb877aa3236a4b449, 0xe69594bec44de15b,
  181. 0x901d7cf73ab0acd9, 0xb424dc35095cd80f,
  182. 0xe12e13424bb40e13, 0x8cbccc096f5088cb,
  183. 0xafebff0bcb24aafe, 0xdbe6fecebdedd5be,
  184. 0x89705f4136b4a597, 0xabcc77118461cefc,
  185. 0xd6bf94d5e57a42bc, 0x8637bd05af6c69b5,
  186. 0xa7c5ac471b478423, 0xd1b71758e219652b,
  187. 0x83126e978d4fdf3b, 0xa3d70a3d70a3d70a,
  188. 0xcccccccccccccccc, 0x8000000000000000,
  189. 0xa000000000000000, 0xc800000000000000,
  190. 0xfa00000000000000, 0x9c40000000000000,
  191. 0xc350000000000000, 0xf424000000000000,
  192. 0x9896800000000000, 0xbebc200000000000,
  193. 0xee6b280000000000, 0x9502f90000000000,
  194. 0xba43b74000000000, 0xe8d4a51000000000,
  195. 0x9184e72a00000000, 0xb5e620f480000000,
  196. 0xe35fa931a0000000, 0x8e1bc9bf04000000,
  197. 0xb1a2bc2ec5000000, 0xde0b6b3a76400000,
  198. 0x8ac7230489e80000, 0xad78ebc5ac620000,
  199. 0xd8d726b7177a8000, 0x878678326eac9000,
  200. 0xa968163f0a57b400, 0xd3c21bcecceda100,
  201. 0x84595161401484a0, 0xa56fa5b99019a5c8,
  202. 0xcecb8f27f4200f3a, 0x813f3978f8940984,
  203. 0xa18f07d736b90be5, 0xc9f2c9cd04674ede,
  204. 0xfc6f7c4045812296, 0x9dc5ada82b70b59d,
  205. 0xc5371912364ce305, 0xf684df56c3e01bc6,
  206. 0x9a130b963a6c115c, 0xc097ce7bc90715b3,
  207. 0xf0bdc21abb48db20, 0x96769950b50d88f4,
  208. 0xbc143fa4e250eb31, 0xeb194f8e1ae525fd,
  209. 0x92efd1b8d0cf37be, 0xb7abc627050305ad,
  210. 0xe596b7b0c643c719, 0x8f7e32ce7bea5c6f,
  211. 0xb35dbf821ae4f38b, 0xe0352f62a19e306e,
  212. 0x8c213d9da502de45, 0xaf298d050e4395d6,
  213. 0xdaf3f04651d47b4c, 0x88d8762bf324cd0f,
  214. 0xab0e93b6efee0053, 0xd5d238a4abe98068,
  215. 0x85a36366eb71f041, 0xa70c3c40a64e6c51,
  216. 0xd0cf4b50cfe20765, 0x82818f1281ed449f,
  217. 0xa321f2d7226895c7, 0xcbea6f8ceb02bb39,
  218. 0xfee50b7025c36a08, 0x9f4f2726179a2245,
  219. 0xc722f0ef9d80aad6, 0xf8ebad2b84e0d58b,
  220. 0x9b934c3b330c8577, 0xc2781f49ffcfa6d5,
  221. 0xf316271c7fc3908a, 0x97edd871cfda3a56,
  222. 0xbde94e8e43d0c8ec, 0xed63a231d4c4fb27,
  223. 0x945e455f24fb1cf8, 0xb975d6b6ee39e436,
  224. 0xe7d34c64a9c85d44, 0x90e40fbeea1d3a4a,
  225. 0xb51d13aea4a488dd, 0xe264589a4dcdab14,
  226. 0x8d7eb76070a08aec, 0xb0de65388cc8ada8,
  227. 0xdd15fe86affad912, 0x8a2dbf142dfcc7ab,
  228. 0xacb92ed9397bf996, 0xd7e77a8f87daf7fb,
  229. 0x86f0ac99b4e8dafd, 0xa8acd7c0222311bc,
  230. 0xd2d80db02aabd62b, 0x83c7088e1aab65db,
  231. 0xa4b8cab1a1563f52, 0xcde6fd5e09abcf26,
  232. 0x80b05e5ac60b6178, 0xa0dc75f1778e39d6,
  233. 0xc913936dd571c84c, 0xfb5878494ace3a5f,
  234. 0x9d174b2dcec0e47b, 0xc45d1df942711d9a,
  235. 0xf5746577930d6500, 0x9968bf6abbe85f20,
  236. 0xbfc2ef456ae276e8, 0xefb3ab16c59b14a2,
  237. 0x95d04aee3b80ece5, 0xbb445da9ca61281f,
  238. 0xea1575143cf97226, 0x924d692ca61be758,
  239. 0xb6e0c377cfa2e12e, 0xe498f455c38b997a,
  240. 0x8edf98b59a373fec, 0xb2977ee300c50fe7,
  241. 0xdf3d5e9bc0f653e1, 0x8b865b215899f46c,
  242. 0xae67f1e9aec07187, 0xda01ee641a708de9,
  243. 0x884134fe908658b2, 0xaa51823e34a7eede,
  244. 0xd4e5e2cdc1d1ea96, 0x850fadc09923329e,
  245. 0xa6539930bf6bff45, 0xcfe87f7cef46ff16,
  246. 0x81f14fae158c5f6e, 0xa26da3999aef7749,
  247. 0xcb090c8001ab551c, 0xfdcb4fa002162a63,
  248. 0x9e9f11c4014dda7e, 0xc646d63501a1511d,
  249. 0xf7d88bc24209a565, 0x9ae757596946075f,
  250. 0xc1a12d2fc3978937, 0xf209787bb47d6b84,
  251. 0x9745eb4d50ce6332, 0xbd176620a501fbff,
  252. 0xec5d3fa8ce427aff, 0x93ba47c980e98cdf,
  253. 0xb8a8d9bbe123f017, 0xe6d3102ad96cec1d,
  254. 0x9043ea1ac7e41392, 0xb454e4a179dd1877,
  255. 0xe16a1dc9d8545e94, 0x8ce2529e2734bb1d,
  256. 0xb01ae745b101e9e4, 0xdc21a1171d42645d,
  257. 0x899504ae72497eba, 0xabfa45da0edbde69,
  258. 0xd6f8d7509292d603, 0x865b86925b9bc5c2,
  259. 0xa7f26836f282b732, 0xd1ef0244af2364ff,
  260. 0x8335616aed761f1f, 0xa402b9c5a8d3a6e7,
  261. 0xcd036837130890a1, 0x802221226be55a64,
  262. 0xa02aa96b06deb0fd, 0xc83553c5c8965d3d,
  263. 0xfa42a8b73abbf48c, 0x9c69a97284b578d7,
  264. 0xc38413cf25e2d70d, 0xf46518c2ef5b8cd1,
  265. 0x98bf2f79d5993802, 0xbeeefb584aff8603,
  266. 0xeeaaba2e5dbf6784, 0x952ab45cfa97a0b2,
  267. 0xba756174393d88df, 0xe912b9d1478ceb17,
  268. 0x91abb422ccb812ee, 0xb616a12b7fe617aa,
  269. 0xe39c49765fdf9d94, 0x8e41ade9fbebc27d,
  270. 0xb1d219647ae6b31c, 0xde469fbd99a05fe3,
  271. 0x8aec23d680043bee, 0xada72ccc20054ae9,
  272. 0xd910f7ff28069da4, 0x87aa9aff79042286,
  273. 0xa99541bf57452b28, 0xd3fa922f2d1675f2,
  274. 0x847c9b5d7c2e09b7, 0xa59bc234db398c25,
  275. 0xcf02b2c21207ef2e, 0x8161afb94b44f57d,
  276. 0xa1ba1ba79e1632dc, 0xca28a291859bbf93,
  277. 0xfcb2cb35e702af78, 0x9defbf01b061adab,
  278. 0xc56baec21c7a1916, 0xf6c69a72a3989f5b,
  279. 0x9a3c2087a63f6399, 0xc0cb28a98fcf3c7f,
  280. 0xf0fdf2d3f3c30b9f, 0x969eb7c47859e743,
  281. 0xbc4665b596706114, 0xeb57ff22fc0c7959,
  282. 0x9316ff75dd87cbd8, 0xb7dcbf5354e9bece,
  283. 0xe5d3ef282a242e81, 0x8fa475791a569d10,
  284. 0xb38d92d760ec4455, 0xe070f78d3927556a,
  285. 0x8c469ab843b89562, 0xaf58416654a6babb,
  286. 0xdb2e51bfe9d0696a, 0x88fcf317f22241e2,
  287. 0xab3c2fddeeaad25a, 0xd60b3bd56a5586f1,
  288. 0x85c7056562757456, 0xa738c6bebb12d16c,
  289. 0xd106f86e69d785c7, 0x82a45b450226b39c,
  290. 0xa34d721642b06084, 0xcc20ce9bd35c78a5,
  291. 0xff290242c83396ce, 0x9f79a169bd203e41,
  292. 0xc75809c42c684dd1, 0xf92e0c3537826145,
  293. 0x9bbcc7a142b17ccb, 0xc2abf989935ddbfe,
  294. 0xf356f7ebf83552fe, 0x98165af37b2153de,
  295. 0xbe1bf1b059e9a8d6, 0xeda2ee1c7064130c,
  296. 0x9485d4d1c63e8be7, 0xb9a74a0637ce2ee1,
  297. 0xe8111c87c5c1ba99, 0x910ab1d4db9914a0,
  298. 0xb54d5e4a127f59c8, 0xe2a0b5dc971f303a,
  299. 0x8da471a9de737e24, 0xb10d8e1456105dad,
  300. 0xdd50f1996b947518, 0x8a5296ffe33cc92f,
  301. 0xace73cbfdc0bfb7b, 0xd8210befd30efa5a,
  302. 0x8714a775e3e95c78, 0xa8d9d1535ce3b396,
  303. 0xd31045a8341ca07c, 0x83ea2b892091e44d,
  304. 0xa4e4b66b68b65d60, 0xce1de40642e3f4b9,
  305. 0x80d2ae83e9ce78f3, 0xa1075a24e4421730,
  306. 0xc94930ae1d529cfc, 0xfb9b7cd9a4a7443c,
  307. 0x9d412e0806e88aa5, 0xc491798a08a2ad4e,
  308. 0xf5b5d7ec8acb58a2, 0x9991a6f3d6bf1765,
  309. 0xbff610b0cc6edd3f, 0xeff394dcff8a948e,
  310. 0x95f83d0a1fb69cd9, 0xbb764c4ca7a4440f,
  311. 0xea53df5fd18d5513, 0x92746b9be2f8552c,
  312. 0xb7118682dbb66a77, 0xe4d5e82392a40515,
  313. 0x8f05b1163ba6832d, 0xb2c71d5bca9023f8,
  314. 0xdf78e4b2bd342cf6, 0x8bab8eefb6409c1a,
  315. 0xae9672aba3d0c320, 0xda3c0f568cc4f3e8,
  316. 0x8865899617fb1871, 0xaa7eebfb9df9de8d,
  317. 0xd51ea6fa85785631, 0x8533285c936b35de,
  318. 0xa67ff273b8460356, 0xd01fef10a657842c,
  319. 0x8213f56a67f6b29b, 0xa298f2c501f45f42,
  320. 0xcb3f2f7642717713, 0xfe0efb53d30dd4d7,
  321. 0x9ec95d1463e8a506, 0xc67bb4597ce2ce48,
  322. 0xf81aa16fdc1b81da, 0x9b10a4e5e9913128,
  323. 0xc1d4ce1f63f57d72, 0xf24a01a73cf2dccf,
  324. 0x976e41088617ca01, 0xbd49d14aa79dbc82,
  325. 0xec9c459d51852ba2, 0x93e1ab8252f33b45,
  326. 0xb8da1662e7b00a17, 0xe7109bfba19c0c9d,
  327. 0x906a617d450187e2, 0xb484f9dc9641e9da,
  328. 0xe1a63853bbd26451, 0x8d07e33455637eb2,
  329. 0xb049dc016abc5e5f, 0xdc5c5301c56b75f7,
  330. 0x89b9b3e11b6329ba, 0xac2820d9623bf429,
  331. 0xd732290fbacaf133, 0x867f59a9d4bed6c0,
  332. 0xa81f301449ee8c70, 0xd226fc195c6a2f8c,
  333. 0x83585d8fd9c25db7, 0xa42e74f3d032f525,
  334. 0xcd3a1230c43fb26f, 0x80444b5e7aa7cf85,
  335. 0xa0555e361951c366, 0xc86ab5c39fa63440,
  336. 0xfa856334878fc150, 0x9c935e00d4b9d8d2,
  337. 0xc3b8358109e84f07, 0xf4a642e14c6262c8,
  338. 0x98e7e9cccfbd7dbd, 0xbf21e44003acdd2c,
  339. 0xeeea5d5004981478, 0x95527a5202df0ccb,
  340. 0xbaa718e68396cffd, 0xe950df20247c83fd,
  341. 0x91d28b7416cdd27e, 0xb6472e511c81471d,
  342. 0xe3d8f9e563a198e5, 0x8e679c2f5e44ff8f
  343. };
  344. // A complement to significand_64
  345. // complete to a 128-bit significand.
  346. // Uses about 5KB but is rarely accessed.
  347. static constexpr std::uint64_t significand_128[] = {
  348. 0x419ea3bd35385e2d, 0x52064cac828675b9,
  349. 0x7343efebd1940993, 0x1014ebe6c5f90bf8,
  350. 0xd41a26e077774ef6, 0x8920b098955522b4,
  351. 0x55b46e5f5d5535b0, 0xeb2189f734aa831d,
  352. 0xa5e9ec7501d523e4, 0x47b233c92125366e,
  353. 0x999ec0bb696e840a, 0xc00670ea43ca250d,
  354. 0x380406926a5e5728, 0xc605083704f5ecf2,
  355. 0xf7864a44c633682e, 0x7ab3ee6afbe0211d,
  356. 0x5960ea05bad82964, 0x6fb92487298e33bd,
  357. 0xa5d3b6d479f8e056, 0x8f48a4899877186c,
  358. 0x331acdabfe94de87, 0x9ff0c08b7f1d0b14,
  359. 0x7ecf0ae5ee44dd9, 0xc9e82cd9f69d6150,
  360. 0xbe311c083a225cd2, 0x6dbd630a48aaf406,
  361. 0x92cbbccdad5b108, 0x25bbf56008c58ea5,
  362. 0xaf2af2b80af6f24e, 0x1af5af660db4aee1,
  363. 0x50d98d9fc890ed4d, 0xe50ff107bab528a0,
  364. 0x1e53ed49a96272c8, 0x25e8e89c13bb0f7a,
  365. 0x77b191618c54e9ac, 0xd59df5b9ef6a2417,
  366. 0x4b0573286b44ad1d, 0x4ee367f9430aec32,
  367. 0x229c41f793cda73f, 0x6b43527578c1110f,
  368. 0x830a13896b78aaa9, 0x23cc986bc656d553,
  369. 0x2cbfbe86b7ec8aa8, 0x7bf7d71432f3d6a9,
  370. 0xdaf5ccd93fb0cc53, 0xd1b3400f8f9cff68,
  371. 0x23100809b9c21fa1, 0xabd40a0c2832a78a,
  372. 0x16c90c8f323f516c, 0xae3da7d97f6792e3,
  373. 0x99cd11cfdf41779c, 0x40405643d711d583,
  374. 0x482835ea666b2572, 0xda3243650005eecf,
  375. 0x90bed43e40076a82, 0x5a7744a6e804a291,
  376. 0x711515d0a205cb36, 0xd5a5b44ca873e03,
  377. 0xe858790afe9486c2, 0x626e974dbe39a872,
  378. 0xfb0a3d212dc8128f, 0x7ce66634bc9d0b99,
  379. 0x1c1fffc1ebc44e80, 0xa327ffb266b56220,
  380. 0x4bf1ff9f0062baa8, 0x6f773fc3603db4a9,
  381. 0xcb550fb4384d21d3, 0x7e2a53a146606a48,
  382. 0x2eda7444cbfc426d, 0xfa911155fefb5308,
  383. 0x793555ab7eba27ca, 0x4bc1558b2f3458de,
  384. 0x9eb1aaedfb016f16, 0x465e15a979c1cadc,
  385. 0xbfacd89ec191ec9, 0xcef980ec671f667b,
  386. 0x82b7e12780e7401a, 0xd1b2ecb8b0908810,
  387. 0x861fa7e6dcb4aa15, 0x67a791e093e1d49a,
  388. 0xe0c8bb2c5c6d24e0, 0x58fae9f773886e18,
  389. 0xaf39a475506a899e, 0x6d8406c952429603,
  390. 0xc8e5087ba6d33b83, 0xfb1e4a9a90880a64,
  391. 0x5cf2eea09a55067f, 0xf42faa48c0ea481e,
  392. 0xf13b94daf124da26, 0x76c53d08d6b70858,
  393. 0x54768c4b0c64ca6e, 0xa9942f5dcf7dfd09,
  394. 0xd3f93b35435d7c4c, 0xc47bc5014a1a6daf,
  395. 0x359ab6419ca1091b, 0xc30163d203c94b62,
  396. 0x79e0de63425dcf1d, 0x985915fc12f542e4,
  397. 0x3e6f5b7b17b2939d, 0xa705992ceecf9c42,
  398. 0x50c6ff782a838353, 0xa4f8bf5635246428,
  399. 0x871b7795e136be99, 0x28e2557b59846e3f,
  400. 0x331aeada2fe589cf, 0x3ff0d2c85def7621,
  401. 0xfed077a756b53a9, 0xd3e8495912c62894,
  402. 0x64712dd7abbbd95c, 0xbd8d794d96aacfb3,
  403. 0xecf0d7a0fc5583a0, 0xf41686c49db57244,
  404. 0x311c2875c522ced5, 0x7d633293366b828b,
  405. 0xae5dff9c02033197, 0xd9f57f830283fdfc,
  406. 0xd072df63c324fd7b, 0x4247cb9e59f71e6d,
  407. 0x52d9be85f074e608, 0x67902e276c921f8b,
  408. 0xba1cd8a3db53b6, 0x80e8a40eccd228a4,
  409. 0x6122cd128006b2cd, 0x796b805720085f81,
  410. 0xcbe3303674053bb0, 0xbedbfc4411068a9c,
  411. 0xee92fb5515482d44, 0x751bdd152d4d1c4a,
  412. 0xd262d45a78a0635d, 0x86fb897116c87c34,
  413. 0xd45d35e6ae3d4da0, 0x8974836059cca109,
  414. 0x2bd1a438703fc94b, 0x7b6306a34627ddcf,
  415. 0x1a3bc84c17b1d542, 0x20caba5f1d9e4a93,
  416. 0x547eb47b7282ee9c, 0xe99e619a4f23aa43,
  417. 0x6405fa00e2ec94d4, 0xde83bc408dd3dd04,
  418. 0x9624ab50b148d445, 0x3badd624dd9b0957,
  419. 0xe54ca5d70a80e5d6, 0x5e9fcf4ccd211f4c,
  420. 0x7647c3200069671f, 0x29ecd9f40041e073,
  421. 0xf468107100525890, 0x7182148d4066eeb4,
  422. 0xc6f14cd848405530, 0xb8ada00e5a506a7c,
  423. 0xa6d90811f0e4851c, 0x908f4a166d1da663,
  424. 0x9a598e4e043287fe, 0x40eff1e1853f29fd,
  425. 0xd12bee59e68ef47c, 0x82bb74f8301958ce,
  426. 0xe36a52363c1faf01, 0xdc44e6c3cb279ac1,
  427. 0x29ab103a5ef8c0b9, 0x7415d448f6b6f0e7,
  428. 0x111b495b3464ad21, 0xcab10dd900beec34,
  429. 0x3d5d514f40eea742, 0xcb4a5a3112a5112,
  430. 0x47f0e785eaba72ab, 0x59ed216765690f56,
  431. 0x306869c13ec3532c, 0x1e414218c73a13fb,
  432. 0xe5d1929ef90898fa, 0xdf45f746b74abf39,
  433. 0x6b8bba8c328eb783, 0x66ea92f3f326564,
  434. 0xc80a537b0efefebd, 0xbd06742ce95f5f36,
  435. 0x2c48113823b73704, 0xf75a15862ca504c5,
  436. 0x9a984d73dbe722fb, 0xc13e60d0d2e0ebba,
  437. 0x318df905079926a8, 0xfdf17746497f7052,
  438. 0xfeb6ea8bedefa633, 0xfe64a52ee96b8fc0,
  439. 0x3dfdce7aa3c673b0, 0x6bea10ca65c084e,
  440. 0x486e494fcff30a62, 0x5a89dba3c3efccfa,
  441. 0xf89629465a75e01c, 0xf6bbb397f1135823,
  442. 0x746aa07ded582e2c, 0xa8c2a44eb4571cdc,
  443. 0x92f34d62616ce413, 0x77b020baf9c81d17,
  444. 0xace1474dc1d122e, 0xd819992132456ba,
  445. 0x10e1fff697ed6c69, 0xca8d3ffa1ef463c1,
  446. 0xbd308ff8a6b17cb2, 0xac7cb3f6d05ddbde,
  447. 0x6bcdf07a423aa96b, 0x86c16c98d2c953c6,
  448. 0xe871c7bf077ba8b7, 0x11471cd764ad4972,
  449. 0xd598e40d3dd89bcf, 0x4aff1d108d4ec2c3,
  450. 0xcedf722a585139ba, 0xc2974eb4ee658828,
  451. 0x733d226229feea32, 0x806357d5a3f525f,
  452. 0xca07c2dcb0cf26f7, 0xfc89b393dd02f0b5,
  453. 0xbbac2078d443ace2, 0xd54b944b84aa4c0d,
  454. 0xa9e795e65d4df11, 0x4d4617b5ff4a16d5,
  455. 0x504bced1bf8e4e45, 0xe45ec2862f71e1d6,
  456. 0x5d767327bb4e5a4c, 0x3a6a07f8d510f86f,
  457. 0x890489f70a55368b, 0x2b45ac74ccea842e,
  458. 0x3b0b8bc90012929d, 0x9ce6ebb40173744,
  459. 0xcc420a6a101d0515, 0x9fa946824a12232d,
  460. 0x47939822dc96abf9, 0x59787e2b93bc56f7,
  461. 0x57eb4edb3c55b65a, 0xede622920b6b23f1,
  462. 0xe95fab368e45eced, 0x11dbcb0218ebb414,
  463. 0xd652bdc29f26a119, 0x4be76d3346f0495f,
  464. 0x6f70a4400c562ddb, 0xcb4ccd500f6bb952,
  465. 0x7e2000a41346a7a7, 0x8ed400668c0c28c8,
  466. 0x728900802f0f32fa, 0x4f2b40a03ad2ffb9,
  467. 0xe2f610c84987bfa8, 0xdd9ca7d2df4d7c9,
  468. 0x91503d1c79720dbb, 0x75a44c6397ce912a,
  469. 0xc986afbe3ee11aba, 0xfbe85badce996168,
  470. 0xfae27299423fb9c3, 0xdccd879fc967d41a,
  471. 0x5400e987bbc1c920, 0x290123e9aab23b68,
  472. 0xf9a0b6720aaf6521, 0xf808e40e8d5b3e69,
  473. 0xb60b1d1230b20e04, 0xb1c6f22b5e6f48c2,
  474. 0x1e38aeb6360b1af3, 0x25c6da63c38de1b0,
  475. 0x579c487e5a38ad0e, 0x2d835a9df0c6d851,
  476. 0xf8e431456cf88e65, 0x1b8e9ecb641b58ff,
  477. 0xe272467e3d222f3f, 0x5b0ed81dcc6abb0f,
  478. 0x98e947129fc2b4e9, 0x3f2398d747b36224,
  479. 0x8eec7f0d19a03aad, 0x1953cf68300424ac,
  480. 0x5fa8c3423c052dd7, 0x3792f412cb06794d,
  481. 0xe2bbd88bbee40bd0, 0x5b6aceaeae9d0ec4,
  482. 0xf245825a5a445275, 0xeed6e2f0f0d56712,
  483. 0x55464dd69685606b, 0xaa97e14c3c26b886,
  484. 0xd53dd99f4b3066a8, 0xe546a8038efe4029,
  485. 0xde98520472bdd033, 0x963e66858f6d4440,
  486. 0xdde7001379a44aa8, 0x5560c018580d5d52,
  487. 0xaab8f01e6e10b4a6, 0xcab3961304ca70e8,
  488. 0x3d607b97c5fd0d22, 0x8cb89a7db77c506a,
  489. 0x77f3608e92adb242, 0x55f038b237591ed3,
  490. 0x6b6c46dec52f6688, 0x2323ac4b3b3da015,
  491. 0xabec975e0a0d081a, 0x96e7bd358c904a21,
  492. 0x7e50d64177da2e54, 0xdde50bd1d5d0b9e9,
  493. 0x955e4ec64b44e864, 0xbd5af13bef0b113e,
  494. 0xecb1ad8aeacdd58e, 0x67de18eda5814af2,
  495. 0x80eacf948770ced7, 0xa1258379a94d028d,
  496. 0x96ee45813a04330, 0x8bca9d6e188853fc,
  497. 0x775ea264cf55347d, 0x95364afe032a819d,
  498. 0x3a83ddbd83f52204, 0xc4926a9672793542,
  499. 0x75b7053c0f178293, 0x5324c68b12dd6338,
  500. 0xd3f6fc16ebca5e03, 0x88f4bb1ca6bcf584,
  501. 0x2b31e9e3d06c32e5, 0x3aff322e62439fcf,
  502. 0x9befeb9fad487c2, 0x4c2ebe687989a9b3,
  503. 0xf9d37014bf60a10, 0x538484c19ef38c94,
  504. 0x2865a5f206b06fb9, 0xf93f87b7442e45d3,
  505. 0xf78f69a51539d748, 0xb573440e5a884d1b,
  506. 0x31680a88f8953030, 0xfdc20d2b36ba7c3d,
  507. 0x3d32907604691b4c, 0xa63f9a49c2c1b10f,
  508. 0xfcf80dc33721d53, 0xd3c36113404ea4a8,
  509. 0x645a1cac083126e9, 0x3d70a3d70a3d70a3,
  510. 0xcccccccccccccccc, 0x0,
  511. 0x0, 0x0,
  512. 0x0, 0x0,
  513. 0x0, 0x0,
  514. 0x0, 0x0,
  515. 0x0, 0x0,
  516. 0x0, 0x0,
  517. 0x0, 0x0,
  518. 0x0, 0x0,
  519. 0x0, 0x0,
  520. 0x0, 0x0,
  521. 0x0, 0x0,
  522. 0x0, 0x0,
  523. 0x0, 0x0,
  524. 0x0, 0x4000000000000000,
  525. 0x5000000000000000, 0xa400000000000000,
  526. 0x4d00000000000000, 0xf020000000000000,
  527. 0x6c28000000000000, 0xc732000000000000,
  528. 0x3c7f400000000000, 0x4b9f100000000000,
  529. 0x1e86d40000000000, 0x1314448000000000,
  530. 0x17d955a000000000, 0x5dcfab0800000000,
  531. 0x5aa1cae500000000, 0xf14a3d9e40000000,
  532. 0x6d9ccd05d0000000, 0xe4820023a2000000,
  533. 0xdda2802c8a800000, 0xd50b2037ad200000,
  534. 0x4526f422cc340000, 0x9670b12b7f410000,
  535. 0x3c0cdd765f114000, 0xa5880a69fb6ac800,
  536. 0x8eea0d047a457a00, 0x72a4904598d6d880,
  537. 0x47a6da2b7f864750, 0x999090b65f67d924,
  538. 0xfff4b4e3f741cf6d, 0xbff8f10e7a8921a4,
  539. 0xaff72d52192b6a0d, 0x9bf4f8a69f764490,
  540. 0x2f236d04753d5b4, 0x1d762422c946590,
  541. 0x424d3ad2b7b97ef5, 0xd2e0898765a7deb2,
  542. 0x63cc55f49f88eb2f, 0x3cbf6b71c76b25fb,
  543. 0x8bef464e3945ef7a, 0x97758bf0e3cbb5ac,
  544. 0x3d52eeed1cbea317, 0x4ca7aaa863ee4bdd,
  545. 0x8fe8caa93e74ef6a, 0xb3e2fd538e122b44,
  546. 0x60dbbca87196b616, 0xbc8955e946fe31cd,
  547. 0x6babab6398bdbe41, 0xc696963c7eed2dd1,
  548. 0xfc1e1de5cf543ca2, 0x3b25a55f43294bcb,
  549. 0x49ef0eb713f39ebe, 0x6e3569326c784337,
  550. 0x49c2c37f07965404, 0xdc33745ec97be906,
  551. 0x69a028bb3ded71a3, 0xc40832ea0d68ce0c,
  552. 0xf50a3fa490c30190, 0x792667c6da79e0fa,
  553. 0x577001b891185938, 0xed4c0226b55e6f86,
  554. 0x544f8158315b05b4, 0x696361ae3db1c721,
  555. 0x3bc3a19cd1e38e9, 0x4ab48a04065c723,
  556. 0x62eb0d64283f9c76, 0x3ba5d0bd324f8394,
  557. 0xca8f44ec7ee36479, 0x7e998b13cf4e1ecb,
  558. 0x9e3fedd8c321a67e, 0xc5cfe94ef3ea101e,
  559. 0xbba1f1d158724a12, 0x2a8a6e45ae8edc97,
  560. 0xf52d09d71a3293bd, 0x593c2626705f9c56,
  561. 0x6f8b2fb00c77836c, 0xb6dfb9c0f956447,
  562. 0x4724bd4189bd5eac, 0x58edec91ec2cb657,
  563. 0x2f2967b66737e3ed, 0xbd79e0d20082ee74,
  564. 0xecd8590680a3aa11, 0xe80e6f4820cc9495,
  565. 0x3109058d147fdcdd, 0xbd4b46f0599fd415,
  566. 0x6c9e18ac7007c91a, 0x3e2cf6bc604ddb0,
  567. 0x84db8346b786151c, 0xe612641865679a63,
  568. 0x4fcb7e8f3f60c07e, 0xe3be5e330f38f09d,
  569. 0x5cadf5bfd3072cc5, 0x73d9732fc7c8f7f6,
  570. 0x2867e7fddcdd9afa, 0xb281e1fd541501b8,
  571. 0x1f225a7ca91a4226, 0x3375788de9b06958,
  572. 0x52d6b1641c83ae, 0xc0678c5dbd23a49a,
  573. 0xf840b7ba963646e0, 0xb650e5a93bc3d898,
  574. 0xa3e51f138ab4cebe, 0xc66f336c36b10137,
  575. 0xb80b0047445d4184, 0xa60dc059157491e5,
  576. 0x87c89837ad68db2f, 0x29babe4598c311fb,
  577. 0xf4296dd6fef3d67a, 0x1899e4a65f58660c,
  578. 0x5ec05dcff72e7f8f, 0x76707543f4fa1f73,
  579. 0x6a06494a791c53a8, 0x487db9d17636892,
  580. 0x45a9d2845d3c42b6, 0xb8a2392ba45a9b2,
  581. 0x8e6cac7768d7141e, 0x3207d795430cd926,
  582. 0x7f44e6bd49e807b8, 0x5f16206c9c6209a6,
  583. 0x36dba887c37a8c0f, 0xc2494954da2c9789,
  584. 0xf2db9baa10b7bd6c, 0x6f92829494e5acc7,
  585. 0xcb772339ba1f17f9, 0xff2a760414536efb,
  586. 0xfef5138519684aba, 0x7eb258665fc25d69,
  587. 0xef2f773ffbd97a61, 0xaafb550ffacfd8fa,
  588. 0x95ba2a53f983cf38, 0xdd945a747bf26183,
  589. 0x94f971119aeef9e4, 0x7a37cd5601aab85d,
  590. 0xac62e055c10ab33a, 0x577b986b314d6009,
  591. 0xed5a7e85fda0b80b, 0x14588f13be847307,
  592. 0x596eb2d8ae258fc8, 0x6fca5f8ed9aef3bb,
  593. 0x25de7bb9480d5854, 0xaf561aa79a10ae6a,
  594. 0x1b2ba1518094da04, 0x90fb44d2f05d0842,
  595. 0x353a1607ac744a53, 0x42889b8997915ce8,
  596. 0x69956135febada11, 0x43fab9837e699095,
  597. 0x94f967e45e03f4bb, 0x1d1be0eebac278f5,
  598. 0x6462d92a69731732, 0x7d7b8f7503cfdcfe,
  599. 0x5cda735244c3d43e, 0x3a0888136afa64a7,
  600. 0x88aaa1845b8fdd0, 0x8aad549e57273d45,
  601. 0x36ac54e2f678864b, 0x84576a1bb416a7dd,
  602. 0x656d44a2a11c51d5, 0x9f644ae5a4b1b325,
  603. 0x873d5d9f0dde1fee, 0xa90cb506d155a7ea,
  604. 0x9a7f12442d588f2, 0xc11ed6d538aeb2f,
  605. 0x8f1668c8a86da5fa, 0xf96e017d694487bc,
  606. 0x37c981dcc395a9ac, 0x85bbe253f47b1417,
  607. 0x93956d7478ccec8e, 0x387ac8d1970027b2,
  608. 0x6997b05fcc0319e, 0x441fece3bdf81f03,
  609. 0xd527e81cad7626c3, 0x8a71e223d8d3b074,
  610. 0xf6872d5667844e49, 0xb428f8ac016561db,
  611. 0xe13336d701beba52, 0xecc0024661173473,
  612. 0x27f002d7f95d0190, 0x31ec038df7b441f4,
  613. 0x7e67047175a15271, 0xf0062c6e984d386,
  614. 0x52c07b78a3e60868, 0xa7709a56ccdf8a82,
  615. 0x88a66076400bb691, 0x6acff893d00ea435,
  616. 0x583f6b8c4124d43, 0xc3727a337a8b704a,
  617. 0x744f18c0592e4c5c, 0x1162def06f79df73,
  618. 0x8addcb5645ac2ba8, 0x6d953e2bd7173692,
  619. 0xc8fa8db6ccdd0437, 0x1d9c9892400a22a2,
  620. 0x2503beb6d00cab4b, 0x2e44ae64840fd61d,
  621. 0x5ceaecfed289e5d2, 0x7425a83e872c5f47,
  622. 0xd12f124e28f77719, 0x82bd6b70d99aaa6f,
  623. 0x636cc64d1001550b, 0x3c47f7e05401aa4e,
  624. 0x65acfaec34810a71, 0x7f1839a741a14d0d,
  625. 0x1ede48111209a050, 0x934aed0aab460432,
  626. 0xf81da84d5617853f, 0x36251260ab9d668e,
  627. 0xc1d72b7c6b426019, 0xb24cf65b8612f81f,
  628. 0xdee033f26797b627, 0x169840ef017da3b1,
  629. 0x8e1f289560ee864e, 0xf1a6f2bab92a27e2,
  630. 0xae10af696774b1db, 0xacca6da1e0a8ef29,
  631. 0x17fd090a58d32af3, 0xddfc4b4cef07f5b0,
  632. 0x4abdaf101564f98e, 0x9d6d1ad41abe37f1,
  633. 0x84c86189216dc5ed, 0x32fd3cf5b4e49bb4,
  634. 0x3fbc8c33221dc2a1, 0xfabaf3feaa5334a,
  635. 0x29cb4d87f2a7400e, 0x743e20e9ef511012,
  636. 0x914da9246b255416, 0x1ad089b6c2f7548e,
  637. 0xa184ac2473b529b1, 0xc9e5d72d90a2741e,
  638. 0x7e2fa67c7a658892, 0xddbb901b98feeab7,
  639. 0x552a74227f3ea565, 0xd53a88958f87275f,
  640. 0x8a892abaf368f137, 0x2d2b7569b0432d85,
  641. 0x9c3b29620e29fc73, 0x8349f3ba91b47b8f,
  642. 0x241c70a936219a73, 0xed238cd383aa0110,
  643. 0xf4363804324a40aa, 0xb143c6053edcd0d5,
  644. 0xdd94b7868e94050a, 0xca7cf2b4191c8326,
  645. 0xfd1c2f611f63a3f0, 0xbc633b39673c8cec,
  646. 0xd5be0503e085d813, 0x4b2d8644d8a74e18,
  647. 0xddf8e7d60ed1219e, 0xcabb90e5c942b503,
  648. 0x3d6a751f3b936243, 0xcc512670a783ad4,
  649. 0x27fb2b80668b24c5, 0xb1f9f660802dedf6,
  650. 0x5e7873f8a0396973, 0xdb0b487b6423e1e8,
  651. 0x91ce1a9a3d2cda62, 0x7641a140cc7810fb,
  652. 0xa9e904c87fcb0a9d, 0x546345fa9fbdcd44,
  653. 0xa97c177947ad4095, 0x49ed8eabcccc485d,
  654. 0x5c68f256bfff5a74, 0x73832eec6fff3111,
  655. 0xc831fd53c5ff7eab, 0xba3e7ca8b77f5e55,
  656. 0x28ce1bd2e55f35eb, 0x7980d163cf5b81b3,
  657. 0xd7e105bcc332621f, 0x8dd9472bf3fefaa7,
  658. 0xb14f98f6f0feb951, 0x6ed1bf9a569f33d3,
  659. 0xa862f80ec4700c8, 0xcd27bb612758c0fa,
  660. 0x8038d51cb897789c, 0xe0470a63e6bd56c3,
  661. 0x1858ccfce06cac74, 0xf37801e0c43ebc8,
  662. 0xd30560258f54e6ba, 0x47c6b82ef32a2069,
  663. 0x4cdc331d57fa5441, 0xe0133fe4adf8e952,
  664. 0x58180fddd97723a6, 0x570f09eaa7ea7648
  665. };
  666. };
  667. #if defined(BOOST_NO_CXX17_INLINE_VARIABLES) && (!defined(BOOST_MSVC) || BOOST_MSVC != 1900)
  668. template <bool b> constexpr std::uint64_t significand_template<b>::significand_64[];
  669. template <bool b> constexpr std::uint64_t significand_template<b>::significand_128[];
  670. #endif
  671. #if (!defined(BOOST_MSVC) || BOOST_MSVC != 1900)
  672. using significands_table = significand_template<true>;
  673. #endif
  674. }}} // Namespaces
  675. #endif // BOOST_CHARCONV_DETAIL_SIGNIFICAND_TABLES_HPP