// Copyright 2020 The Wuffs Authors.
//
// Licensed under the Apache License, Version 2.0 (the "License");
// you may not use this file except in compliance with the License.
// You may obtain a copy of the License at
//
//    https://www.apache.org/licenses/LICENSE-2.0
//
// Unless required by applicable law or agreed to in writing, software
// distributed under the License is distributed on an "AS IS" BASIS,
// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
// See the License for the specific language governing permissions and
// limitations under the License.

// ---------------- IEEE 754 Floating Point

// The etc__hpd_left_shift and etc__powers_of_5 tables were printed by
// script/print-hpd-left-shift.go. That script has an optional -comments flag,
// whose output is not copied here, which prints further detail.
//
// These tables are used in
// wuffs_base__private_implementation__high_prec_dec__lshift_num_new_digits.

// wuffs_base__private_implementation__hpd_left_shift[i] encodes the number of
// new digits created after multiplying a positive integer by (1 << i): the
// additional length in the decimal representation. For example, shifting "234"
// by 3 (equivalent to multiplying by 8) will produce "1872". Going from a
// 3-length string to a 4-length string means that 1 new digit was added (and
// existing digits may have changed).
//
// Shifting by i can add either N or N-1 new digits, depending on whether the
// original positive integer compares >= or < to the i'th power of 5 (as 10
// equals 2 * 5). Comparison is lexicographic, not numerical.
//
// For example, shifting by 4 (i.e. multiplying by 16) can add 1 or 2 new
// digits, depending on a lexicographic comparison to (5 ** 4), i.e. "625":
//  - ("1"      << 4) is "16",       which adds 1 new digit.
//  - ("5678"   << 4) is "90848",    which adds 1 new digit.
//  - ("624"    << 4) is "9984",     which adds 1 new digit.
//  - ("62498"  << 4) is "999968",   which adds 1 new digit.
//  - ("625"    << 4) is "10000",    which adds 2 new digits.
//  - ("625001" << 4) is "10000016", which adds 2 new digits.
//  - ("7008"   << 4) is "112128",   which adds 2 new digits.
//  - ("99"     << 4) is "1584",     which adds 2 new digits.
//
// Thus, when i is 4, N is 2 and (5 ** i) is "625". This etc__hpd_left_shift
// array encodes this as:
//  - etc__hpd_left_shift[4] is 0x1006 = (2 << 11) | 0x0006.
//  - etc__hpd_left_shift[5] is 0x1009 = (? << 11) | 0x0009.
// where the ? isn't relevant for i == 4.
//
// The high 5 bits of etc__hpd_left_shift[i] is N, the higher of the two
// possible number of new digits. The low 11 bits are an offset into the
// etc__powers_of_5 array (of length 0x051C, so offsets fit in 11 bits). When i
// is 4, its offset and the next one is 6 and 9, and etc__powers_of_5[6 .. 9]
// is the string "\x06\x02\x05", so the relevant power of 5 is "625".
//
// Thanks to Ken Thompson for the original idea.
static const uint16_t wuffs_base__private_implementation__hpd_left_shift[65] = {
    0x0000, 0x0800, 0x0801, 0x0803, 0x1006, 0x1009, 0x100D, 0x1812, 0x1817,
    0x181D, 0x2024, 0x202B, 0x2033, 0x203C, 0x2846, 0x2850, 0x285B, 0x3067,
    0x3073, 0x3080, 0x388E, 0x389C, 0x38AB, 0x38BB, 0x40CC, 0x40DD, 0x40EF,
    0x4902, 0x4915, 0x4929, 0x513E, 0x5153, 0x5169, 0x5180, 0x5998, 0x59B0,
    0x59C9, 0x61E3, 0x61FD, 0x6218, 0x6A34, 0x6A50, 0x6A6D, 0x6A8B, 0x72AA,
    0x72C9, 0x72E9, 0x7B0A, 0x7B2B, 0x7B4D, 0x8370, 0x8393, 0x83B7, 0x83DC,
    0x8C02, 0x8C28, 0x8C4F, 0x9477, 0x949F, 0x94C8, 0x9CF2, 0x051C, 0x051C,
    0x051C, 0x051C,
};

// wuffs_base__private_implementation__powers_of_5 contains the powers of 5,
// concatenated together: "5", "25", "125", "625", "3125", etc.
static const uint8_t wuffs_base__private_implementation__powers_of_5[0x051C] = {
    5, 2, 5, 1, 2, 5, 6, 2, 5, 3, 1, 2, 5, 1, 5, 6, 2, 5, 7, 8, 1, 2, 5, 3, 9,
    0, 6, 2, 5, 1, 9, 5, 3, 1, 2, 5, 9, 7, 6, 5, 6, 2, 5, 4, 8, 8, 2, 8, 1, 2,
    5, 2, 4, 4, 1, 4, 0, 6, 2, 5, 1, 2, 2, 0, 7, 0, 3, 1, 2, 5, 6, 1, 0, 3, 5,
    1, 5, 6, 2, 5, 3, 0, 5, 1, 7, 5, 7, 8, 1, 2, 5, 1, 5, 2, 5, 8, 7, 8, 9, 0,
    6, 2, 5, 7, 6, 2, 9, 3, 9, 4, 5, 3, 1, 2, 5, 3, 8, 1, 4, 6, 9, 7, 2, 6, 5,
    6, 2, 5, 1, 9, 0, 7, 3, 4, 8, 6, 3, 2, 8, 1, 2, 5, 9, 5, 3, 6, 7, 4, 3, 1,
    6, 4, 0, 6, 2, 5, 4, 7, 6, 8, 3, 7, 1, 5, 8, 2, 0, 3, 1, 2, 5, 2, 3, 8, 4,
    1, 8, 5, 7, 9, 1, 0, 1, 5, 6, 2, 5, 1, 1, 9, 2, 0, 9, 2, 8, 9, 5, 5, 0, 7,
    8, 1, 2, 5, 5, 9, 6, 0, 4, 6, 4, 4, 7, 7, 5, 3, 9, 0, 6, 2, 5, 2, 9, 8, 0,
    2, 3, 2, 2, 3, 8, 7, 6, 9, 5, 3, 1, 2, 5, 1, 4, 9, 0, 1, 1, 6, 1, 1, 9, 3,
    8, 4, 7, 6, 5, 6, 2, 5, 7, 4, 5, 0, 5, 8, 0, 5, 9, 6, 9, 2, 3, 8, 2, 8, 1,
    2, 5, 3, 7, 2, 5, 2, 9, 0, 2, 9, 8, 4, 6, 1, 9, 1, 4, 0, 6, 2, 5, 1, 8, 6,
    2, 6, 4, 5, 1, 4, 9, 2, 3, 0, 9, 5, 7, 0, 3, 1, 2, 5, 9, 3, 1, 3, 2, 2, 5,
    7, 4, 6, 1, 5, 4, 7, 8, 5, 1, 5, 6, 2, 5, 4, 6, 5, 6, 6, 1, 2, 8, 7, 3, 0,
    7, 7, 3, 9, 2, 5, 7, 8, 1, 2, 5, 2, 3, 2, 8, 3, 0, 6, 4, 3, 6, 5, 3, 8, 6,
    9, 6, 2, 8, 9, 0, 6, 2, 5, 1, 1, 6, 4, 1, 5, 3, 2, 1, 8, 2, 6, 9, 3, 4, 8,
    1, 4, 4, 5, 3, 1, 2, 5, 5, 8, 2, 0, 7, 6, 6, 0, 9, 1, 3, 4, 6, 7, 4, 0, 7,
    2, 2, 6, 5, 6, 2, 5, 2, 9, 1, 0, 3, 8, 3, 0, 4, 5, 6, 7, 3, 3, 7, 0, 3, 6,
    1, 3, 2, 8, 1, 2, 5, 1, 4, 5, 5, 1, 9, 1, 5, 2, 2, 8, 3, 6, 6, 8, 5, 1, 8,
    0, 6, 6, 4, 0, 6, 2, 5, 7, 2, 7, 5, 9, 5, 7, 6, 1, 4, 1, 8, 3, 4, 2, 5, 9,
    0, 3, 3, 2, 0, 3, 1, 2, 5, 3, 6, 3, 7, 9, 7, 8, 8, 0, 7, 0, 9, 1, 7, 1, 2,
    9, 5, 1, 6, 6, 0, 1, 5, 6, 2, 5, 1, 8, 1, 8, 9, 8, 9, 4, 0, 3, 5, 4, 5, 8,
    5, 6, 4, 7, 5, 8, 3, 0, 0, 7, 8, 1, 2, 5, 9, 0, 9, 4, 9, 4, 7, 0, 1, 7, 7,
    2, 9, 2, 8, 2, 3, 7, 9, 1, 5, 0, 3, 9, 0, 6, 2, 5, 4, 5, 4, 7, 4, 7, 3, 5,
    0, 8, 8, 6, 4, 6, 4, 1, 1, 8, 9, 5, 7, 5, 1, 9, 5, 3, 1, 2, 5, 2, 2, 7, 3,
    7, 3, 6, 7, 5, 4, 4, 3, 2, 3, 2, 0, 5, 9, 4, 7, 8, 7, 5, 9, 7, 6, 5, 6, 2,
    5, 1, 1, 3, 6, 8, 6, 8, 3, 7, 7, 2, 1, 6, 1, 6, 0, 2, 9, 7, 3, 9, 3, 7, 9,
    8, 8, 2, 8, 1, 2, 5, 5, 6, 8, 4, 3, 4, 1, 8, 8, 6, 0, 8, 0, 8, 0, 1, 4, 8,
    6, 9, 6, 8, 9, 9, 4, 1, 4, 0, 6, 2, 5, 2, 8, 4, 2, 1, 7, 0, 9, 4, 3, 0, 4,
    0, 4, 0, 0, 7, 4, 3, 4, 8, 4, 4, 9, 7, 0, 7, 0, 3, 1, 2, 5, 1, 4, 2, 1, 0,
    8, 5, 4, 7, 1, 5, 2, 0, 2, 0, 0, 3, 7, 1, 7, 4, 2, 2, 4, 8, 5, 3, 5, 1, 5,
    6, 2, 5, 7, 1, 0, 5, 4, 2, 7, 3, 5, 7, 6, 0, 1, 0, 0, 1, 8, 5, 8, 7, 1, 1,
    2, 4, 2, 6, 7, 5, 7, 8, 1, 2, 5, 3, 5, 5, 2, 7, 1, 3, 6, 7, 8, 8, 0, 0, 5,
    0, 0, 9, 2, 9, 3, 5, 5, 6, 2, 1, 3, 3, 7, 8, 9, 0, 6, 2, 5, 1, 7, 7, 6, 3,
    5, 6, 8, 3, 9, 4, 0, 0, 2, 5, 0, 4, 6, 4, 6, 7, 7, 8, 1, 0, 6, 6, 8, 9, 4,
    5, 3, 1, 2, 5, 8, 8, 8, 1, 7, 8, 4, 1, 9, 7, 0, 0, 1, 2, 5, 2, 3, 2, 3, 3,
    8, 9, 0, 5, 3, 3, 4, 4, 7, 2, 6, 5, 6, 2, 5, 4, 4, 4, 0, 8, 9, 2, 0, 9, 8,
    5, 0, 0, 6, 2, 6, 1, 6, 1, 6, 9, 4, 5, 2, 6, 6, 7, 2, 3, 6, 3, 2, 8, 1, 2,
    5, 2, 2, 2, 0, 4, 4, 6, 0, 4, 9, 2, 5, 0, 3, 1, 3, 0, 8, 0, 8, 4, 7, 2, 6,
    3, 3, 3, 6, 1, 8, 1, 6, 4, 0, 6, 2, 5, 1, 1, 1, 0, 2, 2, 3, 0, 2, 4, 6, 2,
    5, 1, 5, 6, 5, 4, 0, 4, 2, 3, 6, 3, 1, 6, 6, 8, 0, 9, 0, 8, 2, 0, 3, 1, 2,
    5, 5, 5, 5, 1, 1, 1, 5, 1, 2, 3, 1, 2, 5, 7, 8, 2, 7, 0, 2, 1, 1, 8, 1, 5,
    8, 3, 4, 0, 4, 5, 4, 1, 0, 1, 5, 6, 2, 5, 2, 7, 7, 5, 5, 5, 7, 5, 6, 1, 5,
    6, 2, 8, 9, 1, 3, 5, 1, 0, 5, 9, 0, 7, 9, 1, 7, 0, 2, 2, 7, 0, 5, 0, 7, 8,
    1, 2, 5, 1, 3, 8, 7, 7, 7, 8, 7, 8, 0, 7, 8, 1, 4, 4, 5, 6, 7, 5, 5, 2, 9,
    5, 3, 9, 5, 8, 5, 1, 1, 3, 5, 2, 5, 3, 9, 0, 6, 2, 5, 6, 9, 3, 8, 8, 9, 3,
    9, 0, 3, 9, 0, 7, 2, 2, 8, 3, 7, 7, 6, 4, 7, 6, 9, 7, 9, 2, 5, 5, 6, 7, 6,
    2, 6, 9, 5, 3, 1, 2, 5, 3, 4, 6, 9, 4, 4, 6, 9, 5, 1, 9, 5, 3, 6, 1, 4, 1,
    8, 8, 8, 2, 3, 8, 4, 8, 9, 6, 2, 7, 8, 3, 8, 1, 3, 4, 7, 6, 5, 6, 2, 5, 1,
    7, 3, 4, 7, 2, 3, 4, 7, 5, 9, 7, 6, 8, 0, 7, 0, 9, 4, 4, 1, 1, 9, 2, 4, 4,
    8, 1, 3, 9, 1, 9, 0, 6, 7, 3, 8, 2, 8, 1, 2, 5, 8, 6, 7, 3, 6, 1, 7, 3, 7,
    9, 8, 8, 4, 0, 3, 5, 4, 7, 2, 0, 5, 9, 6, 2, 2, 4, 0, 6, 9, 5, 9, 5, 3, 3,
    6, 9, 1, 4, 0, 6, 2, 5,
};

// --------

// wuffs_base__private_implementation__powers_of_10 contains truncated
// approximations to the powers of 10, ranging from 1e-307 to 1e+288 inclusive,
// as 596 pairs of uint64_t values (a 128-bit mantissa).
//
// There's also an implicit third column (implied by a linear formula involving
// the base-10 exponent) that is the base-2 exponent, biased by a magic
// constant. That constant (1214 or 0x04BE) equals 1023 + 191. 1023 is the bias
// for IEEE 754 double-precision floating point. 191 is ((3 * 64) - 1) and
// wuffs_base__private_implementation__parse_number_f64_eisel_lemire works with
// multiples-of-64-bit mantissas.
//
// For example, the third row holds the approximation to 1e-305:
//   0xE0B62E29_29ABA83C_331ACDAB_FE94DE87 * (2 ** (0x0049 - 0x04BE))
//
// Similarly, 1e+4 is approximated by:
//   0x9C400000_00000000_00000000_00000000 * (2 ** (0x044C - 0x04BE))
//
// Similarly, 1e+68 is approximated by:
//   0xED63A231_D4C4FB27_4CA7AAA8_63EE4BDD * (2 ** (0x0520 - 0x04BE))
//
// This table was generated by by script/print-mpb-powers-of-10.go
static const uint64_t wuffs_base__private_implementation__powers_of_10[596][2] =
    {
        {0xA5D3B6D479F8E056, 0x8FD0C16206306BAB},  // 1e-307
        {0x8F48A4899877186C, 0xB3C4F1BA87BC8696},  // 1e-306
        {0x331ACDABFE94DE87, 0xE0B62E2929ABA83C},  // 1e-305
        {0x9FF0C08B7F1D0B14, 0x8C71DCD9BA0B4925},  // 1e-304
        {0x07ECF0AE5EE44DD9, 0xAF8E5410288E1B6F},  // 1e-303
        {0xC9E82CD9F69D6150, 0xDB71E91432B1A24A},  // 1e-302
        {0xBE311C083A225CD2, 0x892731AC9FAF056E},  // 1e-301
        {0x6DBD630A48AAF406, 0xAB70FE17C79AC6CA},  // 1e-300
        {0x092CBBCCDAD5B108, 0xD64D3D9DB981787D},  // 1e-299
        {0x25BBF56008C58EA5, 0x85F0468293F0EB4E},  // 1e-298
        {0xAF2AF2B80AF6F24E, 0xA76C582338ED2621},  // 1e-297
        {0x1AF5AF660DB4AEE1, 0xD1476E2C07286FAA},  // 1e-296
        {0x50D98D9FC890ED4D, 0x82CCA4DB847945CA},  // 1e-295
        {0xE50FF107BAB528A0, 0xA37FCE126597973C},  // 1e-294
        {0x1E53ED49A96272C8, 0xCC5FC196FEFD7D0C},  // 1e-293
        {0x25E8E89C13BB0F7A, 0xFF77B1FCBEBCDC4F},  // 1e-292
        {0x77B191618C54E9AC, 0x9FAACF3DF73609B1},  // 1e-291
        {0xD59DF5B9EF6A2417, 0xC795830D75038C1D},  // 1e-290
        {0x4B0573286B44AD1D, 0xF97AE3D0D2446F25},  // 1e-289
        {0x4EE367F9430AEC32, 0x9BECCE62836AC577},  // 1e-288
        {0x229C41F793CDA73F, 0xC2E801FB244576D5},  // 1e-287
        {0x6B43527578C1110F, 0xF3A20279ED56D48A},  // 1e-286
        {0x830A13896B78AAA9, 0x9845418C345644D6},  // 1e-285
        {0x23CC986BC656D553, 0xBE5691EF416BD60C},  // 1e-284
        {0x2CBFBE86B7EC8AA8, 0xEDEC366B11C6CB8F},  // 1e-283
        {0x7BF7D71432F3D6A9, 0x94B3A202EB1C3F39},  // 1e-282
        {0xDAF5CCD93FB0CC53, 0xB9E08A83A5E34F07},  // 1e-281
        {0xD1B3400F8F9CFF68, 0xE858AD248F5C22C9},  // 1e-280
        {0x23100809B9C21FA1, 0x91376C36D99995BE},  // 1e-279
        {0xABD40A0C2832A78A, 0xB58547448FFFFB2D},  // 1e-278
        {0x16C90C8F323F516C, 0xE2E69915B3FFF9F9},  // 1e-277
        {0xAE3DA7D97F6792E3, 0x8DD01FAD907FFC3B},  // 1e-276
        {0x99CD11CFDF41779C, 0xB1442798F49FFB4A},  // 1e-275
        {0x40405643D711D583, 0xDD95317F31C7FA1D},  // 1e-274
        {0x482835EA666B2572, 0x8A7D3EEF7F1CFC52},  // 1e-273
        {0xDA3243650005EECF, 0xAD1C8EAB5EE43B66},  // 1e-272
        {0x90BED43E40076A82, 0xD863B256369D4A40},  // 1e-271
        {0x5A7744A6E804A291, 0x873E4F75E2224E68},  // 1e-270
        {0x711515D0A205CB36, 0xA90DE3535AAAE202},  // 1e-269
        {0x0D5A5B44CA873E03, 0xD3515C2831559A83},  // 1e-268
        {0xE858790AFE9486C2, 0x8412D9991ED58091},  // 1e-267
        {0x626E974DBE39A872, 0xA5178FFF668AE0B6},  // 1e-266
        {0xFB0A3D212DC8128F, 0xCE5D73FF402D98E3},  // 1e-265
        {0x7CE66634BC9D0B99, 0x80FA687F881C7F8E},  // 1e-264
        {0x1C1FFFC1EBC44E80, 0xA139029F6A239F72},  // 1e-263
        {0xA327FFB266B56220, 0xC987434744AC874E},  // 1e-262
        {0x4BF1FF9F0062BAA8, 0xFBE9141915D7A922},  // 1e-261
        {0x6F773FC3603DB4A9, 0x9D71AC8FADA6C9B5},  // 1e-260
        {0xCB550FB4384D21D3, 0xC4CE17B399107C22},  // 1e-259
        {0x7E2A53A146606A48, 0xF6019DA07F549B2B},  // 1e-258
        {0x2EDA7444CBFC426D, 0x99C102844F94E0FB},  // 1e-257
        {0xFA911155FEFB5308, 0xC0314325637A1939},  // 1e-256
        {0x793555AB7EBA27CA, 0xF03D93EEBC589F88},  // 1e-255
        {0x4BC1558B2F3458DE, 0x96267C7535B763B5},  // 1e-254
        {0x9EB1AAEDFB016F16, 0xBBB01B9283253CA2},  // 1e-253
        {0x465E15A979C1CADC, 0xEA9C227723EE8BCB},  // 1e-252
        {0x0BFACD89EC191EC9, 0x92A1958A7675175F},  // 1e-251
        {0xCEF980EC671F667B, 0xB749FAED14125D36},  // 1e-250
        {0x82B7E12780E7401A, 0xE51C79A85916F484},  // 1e-249
        {0xD1B2ECB8B0908810, 0x8F31CC0937AE58D2},  // 1e-248
        {0x861FA7E6DCB4AA15, 0xB2FE3F0B8599EF07},  // 1e-247
        {0x67A791E093E1D49A, 0xDFBDCECE67006AC9},  // 1e-246
        {0xE0C8BB2C5C6D24E0, 0x8BD6A141006042BD},  // 1e-245
        {0x58FAE9F773886E18, 0xAECC49914078536D},  // 1e-244
        {0xAF39A475506A899E, 0xDA7F5BF590966848},  // 1e-243
        {0x6D8406C952429603, 0x888F99797A5E012D},  // 1e-242
        {0xC8E5087BA6D33B83, 0xAAB37FD7D8F58178},  // 1e-241
        {0xFB1E4A9A90880A64, 0xD5605FCDCF32E1D6},  // 1e-240
        {0x5CF2EEA09A55067F, 0x855C3BE0A17FCD26},  // 1e-239
        {0xF42FAA48C0EA481E, 0xA6B34AD8C9DFC06F},  // 1e-238
        {0xF13B94DAF124DA26, 0xD0601D8EFC57B08B},  // 1e-237
        {0x76C53D08D6B70858, 0x823C12795DB6CE57},  // 1e-236
        {0x54768C4B0C64CA6E, 0xA2CB1717B52481ED},  // 1e-235
        {0xA9942F5DCF7DFD09, 0xCB7DDCDDA26DA268},  // 1e-234
        {0xD3F93B35435D7C4C, 0xFE5D54150B090B02},  // 1e-233
        {0xC47BC5014A1A6DAF, 0x9EFA548D26E5A6E1},  // 1e-232
        {0x359AB6419CA1091B, 0xC6B8E9B0709F109A},  // 1e-231
        {0xC30163D203C94B62, 0xF867241C8CC6D4C0},  // 1e-230
        {0x79E0DE63425DCF1D, 0x9B407691D7FC44F8},  // 1e-229
        {0x985915FC12F542E4, 0xC21094364DFB5636},  // 1e-228
        {0x3E6F5B7B17B2939D, 0xF294B943E17A2BC4},  // 1e-227
        {0xA705992CEECF9C42, 0x979CF3CA6CEC5B5A},  // 1e-226
        {0x50C6FF782A838353, 0xBD8430BD08277231},  // 1e-225
        {0xA4F8BF5635246428, 0xECE53CEC4A314EBD},  // 1e-224
        {0x871B7795E136BE99, 0x940F4613AE5ED136},  // 1e-223
        {0x28E2557B59846E3F, 0xB913179899F68584},  // 1e-222
        {0x331AEADA2FE589CF, 0xE757DD7EC07426E5},  // 1e-221
        {0x3FF0D2C85DEF7621, 0x9096EA6F3848984F},  // 1e-220
        {0x0FED077A756B53A9, 0xB4BCA50B065ABE63},  // 1e-219
        {0xD3E8495912C62894, 0xE1EBCE4DC7F16DFB},  // 1e-218
        {0x64712DD7ABBBD95C, 0x8D3360F09CF6E4BD},  // 1e-217
        {0xBD8D794D96AACFB3, 0xB080392CC4349DEC},  // 1e-216
        {0xECF0D7A0FC5583A0, 0xDCA04777F541C567},  // 1e-215
        {0xF41686C49DB57244, 0x89E42CAAF9491B60},  // 1e-214
        {0x311C2875C522CED5, 0xAC5D37D5B79B6239},  // 1e-213
        {0x7D633293366B828B, 0xD77485CB25823AC7},  // 1e-212
        {0xAE5DFF9C02033197, 0x86A8D39EF77164BC},  // 1e-211
        {0xD9F57F830283FDFC, 0xA8530886B54DBDEB},  // 1e-210
        {0xD072DF63C324FD7B, 0xD267CAA862A12D66},  // 1e-209
        {0x4247CB9E59F71E6D, 0x8380DEA93DA4BC60},  // 1e-208
        {0x52D9BE85F074E608, 0xA46116538D0DEB78},  // 1e-207
        {0x67902E276C921F8B, 0xCD795BE870516656},  // 1e-206
        {0x00BA1CD8A3DB53B6, 0x806BD9714632DFF6},  // 1e-205
        {0x80E8A40ECCD228A4, 0xA086CFCD97BF97F3},  // 1e-204
        {0x6122CD128006B2CD, 0xC8A883C0FDAF7DF0},  // 1e-203
        {0x796B805720085F81, 0xFAD2A4B13D1B5D6C},  // 1e-202
        {0xCBE3303674053BB0, 0x9CC3A6EEC6311A63},  // 1e-201
        {0xBEDBFC4411068A9C, 0xC3F490AA77BD60FC},  // 1e-200
        {0xEE92FB5515482D44, 0xF4F1B4D515ACB93B},  // 1e-199
        {0x751BDD152D4D1C4A, 0x991711052D8BF3C5},  // 1e-198
        {0xD262D45A78A0635D, 0xBF5CD54678EEF0B6},  // 1e-197
        {0x86FB897116C87C34, 0xEF340A98172AACE4},  // 1e-196
        {0xD45D35E6AE3D4DA0, 0x9580869F0E7AAC0E},  // 1e-195
        {0x8974836059CCA109, 0xBAE0A846D2195712},  // 1e-194
        {0x2BD1A438703FC94B, 0xE998D258869FACD7},  // 1e-193
        {0x7B6306A34627DDCF, 0x91FF83775423CC06},  // 1e-192
        {0x1A3BC84C17B1D542, 0xB67F6455292CBF08},  // 1e-191
        {0x20CABA5F1D9E4A93, 0xE41F3D6A7377EECA},  // 1e-190
        {0x547EB47B7282EE9C, 0x8E938662882AF53E},  // 1e-189
        {0xE99E619A4F23AA43, 0xB23867FB2A35B28D},  // 1e-188
        {0x6405FA00E2EC94D4, 0xDEC681F9F4C31F31},  // 1e-187
        {0xDE83BC408DD3DD04, 0x8B3C113C38F9F37E},  // 1e-186
        {0x9624AB50B148D445, 0xAE0B158B4738705E},  // 1e-185
        {0x3BADD624DD9B0957, 0xD98DDAEE19068C76},  // 1e-184
        {0xE54CA5D70A80E5D6, 0x87F8A8D4CFA417C9},  // 1e-183
        {0x5E9FCF4CCD211F4C, 0xA9F6D30A038D1DBC},  // 1e-182
        {0x7647C3200069671F, 0xD47487CC8470652B},  // 1e-181
        {0x29ECD9F40041E073, 0x84C8D4DFD2C63F3B},  // 1e-180
        {0xF468107100525890, 0xA5FB0A17C777CF09},  // 1e-179
        {0x7182148D4066EEB4, 0xCF79CC9DB955C2CC},  // 1e-178
        {0xC6F14CD848405530, 0x81AC1FE293D599BF},  // 1e-177
        {0xB8ADA00E5A506A7C, 0xA21727DB38CB002F},  // 1e-176
        {0xA6D90811F0E4851C, 0xCA9CF1D206FDC03B},  // 1e-175
        {0x908F4A166D1DA663, 0xFD442E4688BD304A},  // 1e-174
        {0x9A598E4E043287FE, 0x9E4A9CEC15763E2E},  // 1e-173
        {0x40EFF1E1853F29FD, 0xC5DD44271AD3CDBA},  // 1e-172
        {0xD12BEE59E68EF47C, 0xF7549530E188C128},  // 1e-171
        {0x82BB74F8301958CE, 0x9A94DD3E8CF578B9},  // 1e-170
        {0xE36A52363C1FAF01, 0xC13A148E3032D6E7},  // 1e-169
        {0xDC44E6C3CB279AC1, 0xF18899B1BC3F8CA1},  // 1e-168
        {0x29AB103A5EF8C0B9, 0x96F5600F15A7B7E5},  // 1e-167
        {0x7415D448F6B6F0E7, 0xBCB2B812DB11A5DE},  // 1e-166
        {0x111B495B3464AD21, 0xEBDF661791D60F56},  // 1e-165
        {0xCAB10DD900BEEC34, 0x936B9FCEBB25C995},  // 1e-164
        {0x3D5D514F40EEA742, 0xB84687C269EF3BFB},  // 1e-163
        {0x0CB4A5A3112A5112, 0xE65829B3046B0AFA},  // 1e-162
        {0x47F0E785EABA72AB, 0x8FF71A0FE2C2E6DC},  // 1e-161
        {0x59ED216765690F56, 0xB3F4E093DB73A093},  // 1e-160
        {0x306869C13EC3532C, 0xE0F218B8D25088B8},  // 1e-159
        {0x1E414218C73A13FB, 0x8C974F7383725573},  // 1e-158
        {0xE5D1929EF90898FA, 0xAFBD2350644EEACF},  // 1e-157
        {0xDF45F746B74ABF39, 0xDBAC6C247D62A583},  // 1e-156
        {0x6B8BBA8C328EB783, 0x894BC396CE5DA772},  // 1e-155
        {0x066EA92F3F326564, 0xAB9EB47C81F5114F},  // 1e-154
        {0xC80A537B0EFEFEBD, 0xD686619BA27255A2},  // 1e-153
        {0xBD06742CE95F5F36, 0x8613FD0145877585},  // 1e-152
        {0x2C48113823B73704, 0xA798FC4196E952E7},  // 1e-151
        {0xF75A15862CA504C5, 0xD17F3B51FCA3A7A0},  // 1e-150
        {0x9A984D73DBE722FB, 0x82EF85133DE648C4},  // 1e-149
        {0xC13E60D0D2E0EBBA, 0xA3AB66580D5FDAF5},  // 1e-148
        {0x318DF905079926A8, 0xCC963FEE10B7D1B3},  // 1e-147
        {0xFDF17746497F7052, 0xFFBBCFE994E5C61F},  // 1e-146
        {0xFEB6EA8BEDEFA633, 0x9FD561F1FD0F9BD3},  // 1e-145
        {0xFE64A52EE96B8FC0, 0xC7CABA6E7C5382C8},  // 1e-144
        {0x3DFDCE7AA3C673B0, 0xF9BD690A1B68637B},  // 1e-143
        {0x06BEA10CA65C084E, 0x9C1661A651213E2D},  // 1e-142
        {0x486E494FCFF30A62, 0xC31BFA0FE5698DB8},  // 1e-141
        {0x5A89DBA3C3EFCCFA, 0xF3E2F893DEC3F126},  // 1e-140
        {0xF89629465A75E01C, 0x986DDB5C6B3A76B7},  // 1e-139
        {0xF6BBB397F1135823, 0xBE89523386091465},  // 1e-138
        {0x746AA07DED582E2C, 0xEE2BA6C0678B597F},  // 1e-137
        {0xA8C2A44EB4571CDC, 0x94DB483840B717EF},  // 1e-136
        {0x92F34D62616CE413, 0xBA121A4650E4DDEB},  // 1e-135
        {0x77B020BAF9C81D17, 0xE896A0D7E51E1566},  // 1e-134
        {0x0ACE1474DC1D122E, 0x915E2486EF32CD60},  // 1e-133
        {0x0D819992132456BA, 0xB5B5ADA8AAFF80B8},  // 1e-132
        {0x10E1FFF697ED6C69, 0xE3231912D5BF60E6},  // 1e-131
        {0xCA8D3FFA1EF463C1, 0x8DF5EFABC5979C8F},  // 1e-130
        {0xBD308FF8A6B17CB2, 0xB1736B96B6FD83B3},  // 1e-129
        {0xAC7CB3F6D05DDBDE, 0xDDD0467C64BCE4A0},  // 1e-128
        {0x6BCDF07A423AA96B, 0x8AA22C0DBEF60EE4},  // 1e-127
        {0x86C16C98D2C953C6, 0xAD4AB7112EB3929D},  // 1e-126
        {0xE871C7BF077BA8B7, 0xD89D64D57A607744},  // 1e-125
        {0x11471CD764AD4972, 0x87625F056C7C4A8B},  // 1e-124
        {0xD598E40D3DD89BCF, 0xA93AF6C6C79B5D2D},  // 1e-123
        {0x4AFF1D108D4EC2C3, 0xD389B47879823479},  // 1e-122
        {0xCEDF722A585139BA, 0x843610CB4BF160CB},  // 1e-121
        {0xC2974EB4EE658828, 0xA54394FE1EEDB8FE},  // 1e-120
        {0x733D226229FEEA32, 0xCE947A3DA6A9273E},  // 1e-119
        {0x0806357D5A3F525F, 0x811CCC668829B887},  // 1e-118
        {0xCA07C2DCB0CF26F7, 0xA163FF802A3426A8},  // 1e-117
        {0xFC89B393DD02F0B5, 0xC9BCFF6034C13052},  // 1e-116
        {0xBBAC2078D443ACE2, 0xFC2C3F3841F17C67},  // 1e-115
        {0xD54B944B84AA4C0D, 0x9D9BA7832936EDC0},  // 1e-114
        {0x0A9E795E65D4DF11, 0xC5029163F384A931},  // 1e-113
        {0x4D4617B5FF4A16D5, 0xF64335BCF065D37D},  // 1e-112
        {0x504BCED1BF8E4E45, 0x99EA0196163FA42E},  // 1e-111
        {0xE45EC2862F71E1D6, 0xC06481FB9BCF8D39},  // 1e-110
        {0x5D767327BB4E5A4C, 0xF07DA27A82C37088},  // 1e-109
        {0x3A6A07F8D510F86F, 0x964E858C91BA2655},  // 1e-108
        {0x890489F70A55368B, 0xBBE226EFB628AFEA},  // 1e-107
        {0x2B45AC74CCEA842E, 0xEADAB0ABA3B2DBE5},  // 1e-106
        {0x3B0B8BC90012929D, 0x92C8AE6B464FC96F},  // 1e-105
        {0x09CE6EBB40173744, 0xB77ADA0617E3BBCB},  // 1e-104
        {0xCC420A6A101D0515, 0xE55990879DDCAABD},  // 1e-103
        {0x9FA946824A12232D, 0x8F57FA54C2A9EAB6},  // 1e-102
        {0x47939822DC96ABF9, 0xB32DF8E9F3546564},  // 1e-101
        {0x59787E2B93BC56F7, 0xDFF9772470297EBD},  // 1e-100
        {0x57EB4EDB3C55B65A, 0x8BFBEA76C619EF36},  // 1e-99
        {0xEDE622920B6B23F1, 0xAEFAE51477A06B03},  // 1e-98
        {0xE95FAB368E45ECED, 0xDAB99E59958885C4},  // 1e-97
        {0x11DBCB0218EBB414, 0x88B402F7FD75539B},  // 1e-96
        {0xD652BDC29F26A119, 0xAAE103B5FCD2A881},  // 1e-95
        {0x4BE76D3346F0495F, 0xD59944A37C0752A2},  // 1e-94
        {0x6F70A4400C562DDB, 0x857FCAE62D8493A5},  // 1e-93
        {0xCB4CCD500F6BB952, 0xA6DFBD9FB8E5B88E},  // 1e-92
        {0x7E2000A41346A7A7, 0xD097AD07A71F26B2},  // 1e-91
        {0x8ED400668C0C28C8, 0x825ECC24C873782F},  // 1e-90
        {0x728900802F0F32FA, 0xA2F67F2DFA90563B},  // 1e-89
        {0x4F2B40A03AD2FFB9, 0xCBB41EF979346BCA},  // 1e-88
        {0xE2F610C84987BFA8, 0xFEA126B7D78186BC},  // 1e-87
        {0x0DD9CA7D2DF4D7C9, 0x9F24B832E6B0F436},  // 1e-86
        {0x91503D1C79720DBB, 0xC6EDE63FA05D3143},  // 1e-85
        {0x75A44C6397CE912A, 0xF8A95FCF88747D94},  // 1e-84
        {0xC986AFBE3EE11ABA, 0x9B69DBE1B548CE7C},  // 1e-83
        {0xFBE85BADCE996168, 0xC24452DA229B021B},  // 1e-82
        {0xFAE27299423FB9C3, 0xF2D56790AB41C2A2},  // 1e-81
        {0xDCCD879FC967D41A, 0x97C560BA6B0919A5},  // 1e-80
        {0x5400E987BBC1C920, 0xBDB6B8E905CB600F},  // 1e-79
        {0x290123E9AAB23B68, 0xED246723473E3813},  // 1e-78
        {0xF9A0B6720AAF6521, 0x9436C0760C86E30B},  // 1e-77
        {0xF808E40E8D5B3E69, 0xB94470938FA89BCE},  // 1e-76
        {0xB60B1D1230B20E04, 0xE7958CB87392C2C2},  // 1e-75
        {0xB1C6F22B5E6F48C2, 0x90BD77F3483BB9B9},  // 1e-74
        {0x1E38AEB6360B1AF3, 0xB4ECD5F01A4AA828},  // 1e-73
        {0x25C6DA63C38DE1B0, 0xE2280B6C20DD5232},  // 1e-72
        {0x579C487E5A38AD0E, 0x8D590723948A535F},  // 1e-71
        {0x2D835A9DF0C6D851, 0xB0AF48EC79ACE837},  // 1e-70
        {0xF8E431456CF88E65, 0xDCDB1B2798182244},  // 1e-69
        {0x1B8E9ECB641B58FF, 0x8A08F0F8BF0F156B},  // 1e-68
        {0xE272467E3D222F3F, 0xAC8B2D36EED2DAC5},  // 1e-67
        {0x5B0ED81DCC6ABB0F, 0xD7ADF884AA879177},  // 1e-66
        {0x98E947129FC2B4E9, 0x86CCBB52EA94BAEA},  // 1e-65
        {0x3F2398D747B36224, 0xA87FEA27A539E9A5},  // 1e-64
        {0x8EEC7F0D19A03AAD, 0xD29FE4B18E88640E},  // 1e-63
        {0x1953CF68300424AC, 0x83A3EEEEF9153E89},  // 1e-62
        {0x5FA8C3423C052DD7, 0xA48CEAAAB75A8E2B},  // 1e-61
        {0x3792F412CB06794D, 0xCDB02555653131B6},  // 1e-60
        {0xE2BBD88BBEE40BD0, 0x808E17555F3EBF11},  // 1e-59
        {0x5B6ACEAEAE9D0EC4, 0xA0B19D2AB70E6ED6},  // 1e-58
        {0xF245825A5A445275, 0xC8DE047564D20A8B},  // 1e-57
        {0xEED6E2F0F0D56712, 0xFB158592BE068D2E},  // 1e-56
        {0x55464DD69685606B, 0x9CED737BB6C4183D},  // 1e-55
        {0xAA97E14C3C26B886, 0xC428D05AA4751E4C},  // 1e-54
        {0xD53DD99F4B3066A8, 0xF53304714D9265DF},  // 1e-53
        {0xE546A8038EFE4029, 0x993FE2C6D07B7FAB},  // 1e-52
        {0xDE98520472BDD033, 0xBF8FDB78849A5F96},  // 1e-51
        {0x963E66858F6D4440, 0xEF73D256A5C0F77C},  // 1e-50
        {0xDDE7001379A44AA8, 0x95A8637627989AAD},  // 1e-49
        {0x5560C018580D5D52, 0xBB127C53B17EC159},  // 1e-48
        {0xAAB8F01E6E10B4A6, 0xE9D71B689DDE71AF},  // 1e-47
        {0xCAB3961304CA70E8, 0x9226712162AB070D},  // 1e-46
        {0x3D607B97C5FD0D22, 0xB6B00D69BB55C8D1},  // 1e-45
        {0x8CB89A7DB77C506A, 0xE45C10C42A2B3B05},  // 1e-44
        {0x77F3608E92ADB242, 0x8EB98A7A9A5B04E3},  // 1e-43
        {0x55F038B237591ED3, 0xB267ED1940F1C61C},  // 1e-42
        {0x6B6C46DEC52F6688, 0xDF01E85F912E37A3},  // 1e-41
        {0x2323AC4B3B3DA015, 0x8B61313BBABCE2C6},  // 1e-40
        {0xABEC975E0A0D081A, 0xAE397D8AA96C1B77},  // 1e-39
        {0x96E7BD358C904A21, 0xD9C7DCED53C72255},  // 1e-38
        {0x7E50D64177DA2E54, 0x881CEA14545C7575},  // 1e-37
        {0xDDE50BD1D5D0B9E9, 0xAA242499697392D2},  // 1e-36
        {0x955E4EC64B44E864, 0xD4AD2DBFC3D07787},  // 1e-35
        {0xBD5AF13BEF0B113E, 0x84EC3C97DA624AB4},  // 1e-34
        {0xECB1AD8AEACDD58E, 0xA6274BBDD0FADD61},  // 1e-33
        {0x67DE18EDA5814AF2, 0xCFB11EAD453994BA},  // 1e-32
        {0x80EACF948770CED7, 0x81CEB32C4B43FCF4},  // 1e-31
        {0xA1258379A94D028D, 0xA2425FF75E14FC31},  // 1e-30
        {0x096EE45813A04330, 0xCAD2F7F5359A3B3E},  // 1e-29
        {0x8BCA9D6E188853FC, 0xFD87B5F28300CA0D},  // 1e-28
        {0x775EA264CF55347D, 0x9E74D1B791E07E48},  // 1e-27
        {0x95364AFE032A819D, 0xC612062576589DDA},  // 1e-26
        {0x3A83DDBD83F52204, 0xF79687AED3EEC551},  // 1e-25
        {0xC4926A9672793542, 0x9ABE14CD44753B52},  // 1e-24
        {0x75B7053C0F178293, 0xC16D9A0095928A27},  // 1e-23
        {0x5324C68B12DD6338, 0xF1C90080BAF72CB1},  // 1e-22
        {0xD3F6FC16EBCA5E03, 0x971DA05074DA7BEE},  // 1e-21
        {0x88F4BB1CA6BCF584, 0xBCE5086492111AEA},  // 1e-20
        {0x2B31E9E3D06C32E5, 0xEC1E4A7DB69561A5},  // 1e-19
        {0x3AFF322E62439FCF, 0x9392EE8E921D5D07},  // 1e-18
        {0x09BEFEB9FAD487C2, 0xB877AA3236A4B449},  // 1e-17
        {0x4C2EBE687989A9B3, 0xE69594BEC44DE15B},  // 1e-16
        {0x0F9D37014BF60A10, 0x901D7CF73AB0ACD9},  // 1e-15
        {0x538484C19EF38C94, 0xB424DC35095CD80F},  // 1e-14
        {0x2865A5F206B06FB9, 0xE12E13424BB40E13},  // 1e-13
        {0xF93F87B7442E45D3, 0x8CBCCC096F5088CB},  // 1e-12
        {0xF78F69A51539D748, 0xAFEBFF0BCB24AAFE},  // 1e-11
        {0xB573440E5A884D1B, 0xDBE6FECEBDEDD5BE},  // 1e-10
        {0x31680A88F8953030, 0x89705F4136B4A597},  // 1e-9
        {0xFDC20D2B36BA7C3D, 0xABCC77118461CEFC},  // 1e-8
        {0x3D32907604691B4C, 0xD6BF94D5E57A42BC},  // 1e-7
        {0xA63F9A49C2C1B10F, 0x8637BD05AF6C69B5},  // 1e-6
        {0x0FCF80DC33721D53, 0xA7C5AC471B478423},  // 1e-5
        {0xD3C36113404EA4A8, 0xD1B71758E219652B},  // 1e-4
        {0x645A1CAC083126E9, 0x83126E978D4FDF3B},  // 1e-3
        {0x3D70A3D70A3D70A3, 0xA3D70A3D70A3D70A},  // 1e-2
        {0xCCCCCCCCCCCCCCCC, 0xCCCCCCCCCCCCCCCC},  // 1e-1
        {0x0000000000000000, 0x8000000000000000},  // 1e0
        {0x0000000000000000, 0xA000000000000000},  // 1e1
        {0x0000000000000000, 0xC800000000000000},  // 1e2
        {0x0000000000000000, 0xFA00000000000000},  // 1e3
        {0x0000000000000000, 0x9C40000000000000},  // 1e4
        {0x0000000000000000, 0xC350000000000000},  // 1e5
        {0x0000000000000000, 0xF424000000000000},  // 1e6
        {0x0000000000000000, 0x9896800000000000},  // 1e7
        {0x0000000000000000, 0xBEBC200000000000},  // 1e8
        {0x0000000000000000, 0xEE6B280000000000},  // 1e9
        {0x0000000000000000, 0x9502F90000000000},  // 1e10
        {0x0000000000000000, 0xBA43B74000000000},  // 1e11
        {0x0000000000000000, 0xE8D4A51000000000},  // 1e12
        {0x0000000000000000, 0x9184E72A00000000},  // 1e13
        {0x0000000000000000, 0xB5E620F480000000},  // 1e14
        {0x0000000000000000, 0xE35FA931A0000000},  // 1e15
        {0x0000000000000000, 0x8E1BC9BF04000000},  // 1e16
        {0x0000000000000000, 0xB1A2BC2EC5000000},  // 1e17
        {0x0000000000000000, 0xDE0B6B3A76400000},  // 1e18
        {0x0000000000000000, 0x8AC7230489E80000},  // 1e19
        {0x0000000000000000, 0xAD78EBC5AC620000},  // 1e20
        {0x0000000000000000, 0xD8D726B7177A8000},  // 1e21
        {0x0000000000000000, 0x878678326EAC9000},  // 1e22
        {0x0000000000000000, 0xA968163F0A57B400},  // 1e23
        {0x0000000000000000, 0xD3C21BCECCEDA100},  // 1e24
        {0x0000000000000000, 0x84595161401484A0},  // 1e25
        {0x0000000000000000, 0xA56FA5B99019A5C8},  // 1e26
        {0x0000000000000000, 0xCECB8F27F4200F3A},  // 1e27
        {0x4000000000000000, 0x813F3978F8940984},  // 1e28
        {0x5000000000000000, 0xA18F07D736B90BE5},  // 1e29
        {0xA400000000000000, 0xC9F2C9CD04674EDE},  // 1e30
        {0x4D00000000000000, 0xFC6F7C4045812296},  // 1e31
        {0xF020000000000000, 0x9DC5ADA82B70B59D},  // 1e32
        {0x6C28000000000000, 0xC5371912364CE305},  // 1e33
        {0xC732000000000000, 0xF684DF56C3E01BC6},  // 1e34
        {0x3C7F400000000000, 0x9A130B963A6C115C},  // 1e35
        {0x4B9F100000000000, 0xC097CE7BC90715B3},  // 1e36
        {0x1E86D40000000000, 0xF0BDC21ABB48DB20},  // 1e37
        {0x1314448000000000, 0x96769950B50D88F4},  // 1e38
        {0x17D955A000000000, 0xBC143FA4E250EB31},  // 1e39
        {0x5DCFAB0800000000, 0xEB194F8E1AE525FD},  // 1e40
        {0x5AA1CAE500000000, 0x92EFD1B8D0CF37BE},  // 1e41
        {0xF14A3D9E40000000, 0xB7ABC627050305AD},  // 1e42
        {0x6D9CCD05D0000000, 0xE596B7B0C643C719},  // 1e43
        {0xE4820023A2000000, 0x8F7E32CE7BEA5C6F},  // 1e44
        {0xDDA2802C8A800000, 0xB35DBF821AE4F38B},  // 1e45
        {0xD50B2037AD200000, 0xE0352F62A19E306E},  // 1e46
        {0x4526F422CC340000, 0x8C213D9DA502DE45},  // 1e47
        {0x9670B12B7F410000, 0xAF298D050E4395D6},  // 1e48
        {0x3C0CDD765F114000, 0xDAF3F04651D47B4C},  // 1e49
        {0xA5880A69FB6AC800, 0x88D8762BF324CD0F},  // 1e50
        {0x8EEA0D047A457A00, 0xAB0E93B6EFEE0053},  // 1e51
        {0x72A4904598D6D880, 0xD5D238A4ABE98068},  // 1e52
        {0x47A6DA2B7F864750, 0x85A36366EB71F041},  // 1e53
        {0x999090B65F67D924, 0xA70C3C40A64E6C51},  // 1e54
        {0xFFF4B4E3F741CF6D, 0xD0CF4B50CFE20765},  // 1e55
        {0xBFF8F10E7A8921A4, 0x82818F1281ED449F},  // 1e56
        {0xAFF72D52192B6A0D, 0xA321F2D7226895C7},  // 1e57
        {0x9BF4F8A69F764490, 0xCBEA6F8CEB02BB39},  // 1e58
        {0x02F236D04753D5B4, 0xFEE50B7025C36A08},  // 1e59
        {0x01D762422C946590, 0x9F4F2726179A2245},  // 1e60
        {0x424D3AD2B7B97EF5, 0xC722F0EF9D80AAD6},  // 1e61
        {0xD2E0898765A7DEB2, 0xF8EBAD2B84E0D58B},  // 1e62
        {0x63CC55F49F88EB2F, 0x9B934C3B330C8577},  // 1e63
        {0x3CBF6B71C76B25FB, 0xC2781F49FFCFA6D5},  // 1e64
        {0x8BEF464E3945EF7A, 0xF316271C7FC3908A},  // 1e65
        {0x97758BF0E3CBB5AC, 0x97EDD871CFDA3A56},  // 1e66
        {0x3D52EEED1CBEA317, 0xBDE94E8E43D0C8EC},  // 1e67
        {0x4CA7AAA863EE4BDD, 0xED63A231D4C4FB27},  // 1e68
        {0x8FE8CAA93E74EF6A, 0x945E455F24FB1CF8},  // 1e69
        {0xB3E2FD538E122B44, 0xB975D6B6EE39E436},  // 1e70
        {0x60DBBCA87196B616, 0xE7D34C64A9C85D44},  // 1e71
        {0xBC8955E946FE31CD, 0x90E40FBEEA1D3A4A},  // 1e72
        {0x6BABAB6398BDBE41, 0xB51D13AEA4A488DD},  // 1e73
        {0xC696963C7EED2DD1, 0xE264589A4DCDAB14},  // 1e74
        {0xFC1E1DE5CF543CA2, 0x8D7EB76070A08AEC},  // 1e75
        {0x3B25A55F43294BCB, 0xB0DE65388CC8ADA8},  // 1e76
        {0x49EF0EB713F39EBE, 0xDD15FE86AFFAD912},  // 1e77
        {0x6E3569326C784337, 0x8A2DBF142DFCC7AB},  // 1e78
        {0x49C2C37F07965404, 0xACB92ED9397BF996},  // 1e79
        {0xDC33745EC97BE906, 0xD7E77A8F87DAF7FB},  // 1e80
        {0x69A028BB3DED71A3, 0x86F0AC99B4E8DAFD},  // 1e81
        {0xC40832EA0D68CE0C, 0xA8ACD7C0222311BC},  // 1e82
        {0xF50A3FA490C30190, 0xD2D80DB02AABD62B},  // 1e83
        {0x792667C6DA79E0FA, 0x83C7088E1AAB65DB},  // 1e84
        {0x577001B891185938, 0xA4B8CAB1A1563F52},  // 1e85
        {0xED4C0226B55E6F86, 0xCDE6FD5E09ABCF26},  // 1e86
        {0x544F8158315B05B4, 0x80B05E5AC60B6178},  // 1e87
        {0x696361AE3DB1C721, 0xA0DC75F1778E39D6},  // 1e88
        {0x03BC3A19CD1E38E9, 0xC913936DD571C84C},  // 1e89
        {0x04AB48A04065C723, 0xFB5878494ACE3A5F},  // 1e90
        {0x62EB0D64283F9C76, 0x9D174B2DCEC0E47B},  // 1e91
        {0x3BA5D0BD324F8394, 0xC45D1DF942711D9A},  // 1e92
        {0xCA8F44EC7EE36479, 0xF5746577930D6500},  // 1e93
        {0x7E998B13CF4E1ECB, 0x9968BF6ABBE85F20},  // 1e94
        {0x9E3FEDD8C321A67E, 0xBFC2EF456AE276E8},  // 1e95
        {0xC5CFE94EF3EA101E, 0xEFB3AB16C59B14A2},  // 1e96
        {0xBBA1F1D158724A12, 0x95D04AEE3B80ECE5},  // 1e97
        {0x2A8A6E45AE8EDC97, 0xBB445DA9CA61281F},  // 1e98
        {0xF52D09D71A3293BD, 0xEA1575143CF97226},  // 1e99
        {0x593C2626705F9C56, 0x924D692CA61BE758},  // 1e100
        {0x6F8B2FB00C77836C, 0xB6E0C377CFA2E12E},  // 1e101
        {0x0B6DFB9C0F956447, 0xE498F455C38B997A},  // 1e102
        {0x4724BD4189BD5EAC, 0x8EDF98B59A373FEC},  // 1e103
        {0x58EDEC91EC2CB657, 0xB2977EE300C50FE7},  // 1e104
        {0x2F2967B66737E3ED, 0xDF3D5E9BC0F653E1},  // 1e105
        {0xBD79E0D20082EE74, 0x8B865B215899F46C},  // 1e106
        {0xECD8590680A3AA11, 0xAE67F1E9AEC07187},  // 1e107
        {0xE80E6F4820CC9495, 0xDA01EE641A708DE9},  // 1e108
        {0x3109058D147FDCDD, 0x884134FE908658B2},  // 1e109
        {0xBD4B46F0599FD415, 0xAA51823E34A7EEDE},  // 1e110
        {0x6C9E18AC7007C91A, 0xD4E5E2CDC1D1EA96},  // 1e111
        {0x03E2CF6BC604DDB0, 0x850FADC09923329E},  // 1e112
        {0x84DB8346B786151C, 0xA6539930BF6BFF45},  // 1e113
        {0xE612641865679A63, 0xCFE87F7CEF46FF16},  // 1e114
        {0x4FCB7E8F3F60C07E, 0x81F14FAE158C5F6E},  // 1e115
        {0xE3BE5E330F38F09D, 0xA26DA3999AEF7749},  // 1e116
        {0x5CADF5BFD3072CC5, 0xCB090C8001AB551C},  // 1e117
        {0x73D9732FC7C8F7F6, 0xFDCB4FA002162A63},  // 1e118
        {0x2867E7FDDCDD9AFA, 0x9E9F11C4014DDA7E},  // 1e119
        {0xB281E1FD541501B8, 0xC646D63501A1511D},  // 1e120
        {0x1F225A7CA91A4226, 0xF7D88BC24209A565},  // 1e121
        {0x3375788DE9B06958, 0x9AE757596946075F},  // 1e122
        {0x0052D6B1641C83AE, 0xC1A12D2FC3978937},  // 1e123
        {0xC0678C5DBD23A49A, 0xF209787BB47D6B84},  // 1e124
        {0xF840B7BA963646E0, 0x9745EB4D50CE6332},  // 1e125
        {0xB650E5A93BC3D898, 0xBD176620A501FBFF},  // 1e126
        {0xA3E51F138AB4CEBE, 0xEC5D3FA8CE427AFF},  // 1e127
        {0xC66F336C36B10137, 0x93BA47C980E98CDF},  // 1e128
        {0xB80B0047445D4184, 0xB8A8D9BBE123F017},  // 1e129
        {0xA60DC059157491E5, 0xE6D3102AD96CEC1D},  // 1e130
        {0x87C89837AD68DB2F, 0x9043EA1AC7E41392},  // 1e131
        {0x29BABE4598C311FB, 0xB454E4A179DD1877},  // 1e132
        {0xF4296DD6FEF3D67A, 0xE16A1DC9D8545E94},  // 1e133
        {0x1899E4A65F58660C, 0x8CE2529E2734BB1D},  // 1e134
        {0x5EC05DCFF72E7F8F, 0xB01AE745B101E9E4},  // 1e135
        {0x76707543F4FA1F73, 0xDC21A1171D42645D},  // 1e136
        {0x6A06494A791C53A8, 0x899504AE72497EBA},  // 1e137
        {0x0487DB9D17636892, 0xABFA45DA0EDBDE69},  // 1e138
        {0x45A9D2845D3C42B6, 0xD6F8D7509292D603},  // 1e139
        {0x0B8A2392BA45A9B2, 0x865B86925B9BC5C2},  // 1e140
        {0x8E6CAC7768D7141E, 0xA7F26836F282B732},  // 1e141
        {0x3207D795430CD926, 0xD1EF0244AF2364FF},  // 1e142
        {0x7F44E6BD49E807B8, 0x8335616AED761F1F},  // 1e143
        {0x5F16206C9C6209A6, 0xA402B9C5A8D3A6E7},  // 1e144
        {0x36DBA887C37A8C0F, 0xCD036837130890A1},  // 1e145
        {0xC2494954DA2C9789, 0x802221226BE55A64},  // 1e146
        {0xF2DB9BAA10B7BD6C, 0xA02AA96B06DEB0FD},  // 1e147
        {0x6F92829494E5ACC7, 0xC83553C5C8965D3D},  // 1e148
        {0xCB772339BA1F17F9, 0xFA42A8B73ABBF48C},  // 1e149
        {0xFF2A760414536EFB, 0x9C69A97284B578D7},  // 1e150
        {0xFEF5138519684ABA, 0xC38413CF25E2D70D},  // 1e151
        {0x7EB258665FC25D69, 0xF46518C2EF5B8CD1},  // 1e152
        {0xEF2F773FFBD97A61, 0x98BF2F79D5993802},  // 1e153
        {0xAAFB550FFACFD8FA, 0xBEEEFB584AFF8603},  // 1e154
        {0x95BA2A53F983CF38, 0xEEAABA2E5DBF6784},  // 1e155
        {0xDD945A747BF26183, 0x952AB45CFA97A0B2},  // 1e156
        {0x94F971119AEEF9E4, 0xBA756174393D88DF},  // 1e157
        {0x7A37CD5601AAB85D, 0xE912B9D1478CEB17},  // 1e158
        {0xAC62E055C10AB33A, 0x91ABB422CCB812EE},  // 1e159
        {0x577B986B314D6009, 0xB616A12B7FE617AA},  // 1e160
        {0xED5A7E85FDA0B80B, 0xE39C49765FDF9D94},  // 1e161
        {0x14588F13BE847307, 0x8E41ADE9FBEBC27D},  // 1e162
        {0x596EB2D8AE258FC8, 0xB1D219647AE6B31C},  // 1e163
        {0x6FCA5F8ED9AEF3BB, 0xDE469FBD99A05FE3},  // 1e164
        {0x25DE7BB9480D5854, 0x8AEC23D680043BEE},  // 1e165
        {0xAF561AA79A10AE6A, 0xADA72CCC20054AE9},  // 1e166
        {0x1B2BA1518094DA04, 0xD910F7FF28069DA4},  // 1e167
        {0x90FB44D2F05D0842, 0x87AA9AFF79042286},  // 1e168
        {0x353A1607AC744A53, 0xA99541BF57452B28},  // 1e169
        {0x42889B8997915CE8, 0xD3FA922F2D1675F2},  // 1e170
        {0x69956135FEBADA11, 0x847C9B5D7C2E09B7},  // 1e171
        {0x43FAB9837E699095, 0xA59BC234DB398C25},  // 1e172
        {0x94F967E45E03F4BB, 0xCF02B2C21207EF2E},  // 1e173
        {0x1D1BE0EEBAC278F5, 0x8161AFB94B44F57D},  // 1e174
        {0x6462D92A69731732, 0xA1BA1BA79E1632DC},  // 1e175
        {0x7D7B8F7503CFDCFE, 0xCA28A291859BBF93},  // 1e176
        {0x5CDA735244C3D43E, 0xFCB2CB35E702AF78},  // 1e177
        {0x3A0888136AFA64A7, 0x9DEFBF01B061ADAB},  // 1e178
        {0x088AAA1845B8FDD0, 0xC56BAEC21C7A1916},  // 1e179
        {0x8AAD549E57273D45, 0xF6C69A72A3989F5B},  // 1e180
        {0x36AC54E2F678864B, 0x9A3C2087A63F6399},  // 1e181
        {0x84576A1BB416A7DD, 0xC0CB28A98FCF3C7F},  // 1e182
        {0x656D44A2A11C51D5, 0xF0FDF2D3F3C30B9F},  // 1e183
        {0x9F644AE5A4B1B325, 0x969EB7C47859E743},  // 1e184
        {0x873D5D9F0DDE1FEE, 0xBC4665B596706114},  // 1e185
        {0xA90CB506D155A7EA, 0xEB57FF22FC0C7959},  // 1e186
        {0x09A7F12442D588F2, 0x9316FF75DD87CBD8},  // 1e187
        {0x0C11ED6D538AEB2F, 0xB7DCBF5354E9BECE},  // 1e188
        {0x8F1668C8A86DA5FA, 0xE5D3EF282A242E81},  // 1e189
        {0xF96E017D694487BC, 0x8FA475791A569D10},  // 1e190
        {0x37C981DCC395A9AC, 0xB38D92D760EC4455},  // 1e191
        {0x85BBE253F47B1417, 0xE070F78D3927556A},  // 1e192
        {0x93956D7478CCEC8E, 0x8C469AB843B89562},  // 1e193
        {0x387AC8D1970027B2, 0xAF58416654A6BABB},  // 1e194
        {0x06997B05FCC0319E, 0xDB2E51BFE9D0696A},  // 1e195
        {0x441FECE3BDF81F03, 0x88FCF317F22241E2},  // 1e196
        {0xD527E81CAD7626C3, 0xAB3C2FDDEEAAD25A},  // 1e197
        {0x8A71E223D8D3B074, 0xD60B3BD56A5586F1},  // 1e198
        {0xF6872D5667844E49, 0x85C7056562757456},  // 1e199
        {0xB428F8AC016561DB, 0xA738C6BEBB12D16C},  // 1e200
        {0xE13336D701BEBA52, 0xD106F86E69D785C7},  // 1e201
        {0xECC0024661173473, 0x82A45B450226B39C},  // 1e202
        {0x27F002D7F95D0190, 0xA34D721642B06084},  // 1e203
        {0x31EC038DF7B441F4, 0xCC20CE9BD35C78A5},  // 1e204
        {0x7E67047175A15271, 0xFF290242C83396CE},  // 1e205
        {0x0F0062C6E984D386, 0x9F79A169BD203E41},  // 1e206
        {0x52C07B78A3E60868, 0xC75809C42C684DD1},  // 1e207
        {0xA7709A56CCDF8A82, 0xF92E0C3537826145},  // 1e208
        {0x88A66076400BB691, 0x9BBCC7A142B17CCB},  // 1e209
        {0x6ACFF893D00EA435, 0xC2ABF989935DDBFE},  // 1e210
        {0x0583F6B8C4124D43, 0xF356F7EBF83552FE},  // 1e211
        {0xC3727A337A8B704A, 0x98165AF37B2153DE},  // 1e212
        {0x744F18C0592E4C5C, 0xBE1BF1B059E9A8D6},  // 1e213
        {0x1162DEF06F79DF73, 0xEDA2EE1C7064130C},  // 1e214
        {0x8ADDCB5645AC2BA8, 0x9485D4D1C63E8BE7},  // 1e215
        {0x6D953E2BD7173692, 0xB9A74A0637CE2EE1},  // 1e216
        {0xC8FA8DB6CCDD0437, 0xE8111C87C5C1BA99},  // 1e217
        {0x1D9C9892400A22A2, 0x910AB1D4DB9914A0},  // 1e218
        {0x2503BEB6D00CAB4B, 0xB54D5E4A127F59C8},  // 1e219
        {0x2E44AE64840FD61D, 0xE2A0B5DC971F303A},  // 1e220
        {0x5CEAECFED289E5D2, 0x8DA471A9DE737E24},  // 1e221
        {0x7425A83E872C5F47, 0xB10D8E1456105DAD},  // 1e222
        {0xD12F124E28F77719, 0xDD50F1996B947518},  // 1e223
        {0x82BD6B70D99AAA6F, 0x8A5296FFE33CC92F},  // 1e224
        {0x636CC64D1001550B, 0xACE73CBFDC0BFB7B},  // 1e225
        {0x3C47F7E05401AA4E, 0xD8210BEFD30EFA5A},  // 1e226
        {0x65ACFAEC34810A71, 0x8714A775E3E95C78},  // 1e227
        {0x7F1839A741A14D0D, 0xA8D9D1535CE3B396},  // 1e228
        {0x1EDE48111209A050, 0xD31045A8341CA07C},  // 1e229
        {0x934AED0AAB460432, 0x83EA2B892091E44D},  // 1e230
        {0xF81DA84D5617853F, 0xA4E4B66B68B65D60},  // 1e231
        {0x36251260AB9D668E, 0xCE1DE40642E3F4B9},  // 1e232
        {0xC1D72B7C6B426019, 0x80D2AE83E9CE78F3},  // 1e233
        {0xB24CF65B8612F81F, 0xA1075A24E4421730},  // 1e234
        {0xDEE033F26797B627, 0xC94930AE1D529CFC},  // 1e235
        {0x169840EF017DA3B1, 0xFB9B7CD9A4A7443C},  // 1e236
        {0x8E1F289560EE864E, 0x9D412E0806E88AA5},  // 1e237
        {0xF1A6F2BAB92A27E2, 0xC491798A08A2AD4E},  // 1e238
        {0xAE10AF696774B1DB, 0xF5B5D7EC8ACB58A2},  // 1e239
        {0xACCA6DA1E0A8EF29, 0x9991A6F3D6BF1765},  // 1e240
        {0x17FD090A58D32AF3, 0xBFF610B0CC6EDD3F},  // 1e241
        {0xDDFC4B4CEF07F5B0, 0xEFF394DCFF8A948E},  // 1e242
        {0x4ABDAF101564F98E, 0x95F83D0A1FB69CD9},  // 1e243
        {0x9D6D1AD41ABE37F1, 0xBB764C4CA7A4440F},  // 1e244
        {0x84C86189216DC5ED, 0xEA53DF5FD18D5513},  // 1e245
        {0x32FD3CF5B4E49BB4, 0x92746B9BE2F8552C},  // 1e246
        {0x3FBC8C33221DC2A1, 0xB7118682DBB66A77},  // 1e247
        {0x0FABAF3FEAA5334A, 0xE4D5E82392A40515},  // 1e248
        {0x29CB4D87F2A7400E, 0x8F05B1163BA6832D},  // 1e249
        {0x743E20E9EF511012, 0xB2C71D5BCA9023F8},  // 1e250
        {0x914DA9246B255416, 0xDF78E4B2BD342CF6},  // 1e251
        {0x1AD089B6C2F7548E, 0x8BAB8EEFB6409C1A},  // 1e252
        {0xA184AC2473B529B1, 0xAE9672ABA3D0C320},  // 1e253
        {0xC9E5D72D90A2741E, 0xDA3C0F568CC4F3E8},  // 1e254
        {0x7E2FA67C7A658892, 0x8865899617FB1871},  // 1e255
        {0xDDBB901B98FEEAB7, 0xAA7EEBFB9DF9DE8D},  // 1e256
        {0x552A74227F3EA565, 0xD51EA6FA85785631},  // 1e257
        {0xD53A88958F87275F, 0x8533285C936B35DE},  // 1e258
        {0x8A892ABAF368F137, 0xA67FF273B8460356},  // 1e259
        {0x2D2B7569B0432D85, 0xD01FEF10A657842C},  // 1e260
        {0x9C3B29620E29FC73, 0x8213F56A67F6B29B},  // 1e261
        {0x8349F3BA91B47B8F, 0xA298F2C501F45F42},  // 1e262
        {0x241C70A936219A73, 0xCB3F2F7642717713},  // 1e263
        {0xED238CD383AA0110, 0xFE0EFB53D30DD4D7},  // 1e264
        {0xF4363804324A40AA, 0x9EC95D1463E8A506},  // 1e265
        {0xB143C6053EDCD0D5, 0xC67BB4597CE2CE48},  // 1e266
        {0xDD94B7868E94050A, 0xF81AA16FDC1B81DA},  // 1e267
        {0xCA7CF2B4191C8326, 0x9B10A4E5E9913128},  // 1e268
        {0xFD1C2F611F63A3F0, 0xC1D4CE1F63F57D72},  // 1e269
        {0xBC633B39673C8CEC, 0xF24A01A73CF2DCCF},  // 1e270
        {0xD5BE0503E085D813, 0x976E41088617CA01},  // 1e271
        {0x4B2D8644D8A74E18, 0xBD49D14AA79DBC82},  // 1e272
        {0xDDF8E7D60ED1219E, 0xEC9C459D51852BA2},  // 1e273
        {0xCABB90E5C942B503, 0x93E1AB8252F33B45},  // 1e274
        {0x3D6A751F3B936243, 0xB8DA1662E7B00A17},  // 1e275
        {0x0CC512670A783AD4, 0xE7109BFBA19C0C9D},  // 1e276
        {0x27FB2B80668B24C5, 0x906A617D450187E2},  // 1e277
        {0xB1F9F660802DEDF6, 0xB484F9DC9641E9DA},  // 1e278
        {0x5E7873F8A0396973, 0xE1A63853BBD26451},  // 1e279
        {0xDB0B487B6423E1E8, 0x8D07E33455637EB2},  // 1e280
        {0x91CE1A9A3D2CDA62, 0xB049DC016ABC5E5F},  // 1e281
        {0x7641A140CC7810FB, 0xDC5C5301C56B75F7},  // 1e282
        {0xA9E904C87FCB0A9D, 0x89B9B3E11B6329BA},  // 1e283
        {0x546345FA9FBDCD44, 0xAC2820D9623BF429},  // 1e284
        {0xA97C177947AD4095, 0xD732290FBACAF133},  // 1e285
        {0x49ED8EABCCCC485D, 0x867F59A9D4BED6C0},  // 1e286
        {0x5C68F256BFFF5A74, 0xA81F301449EE8C70},  // 1e287
        {0x73832EEC6FFF3111, 0xD226FC195C6A2F8C},  // 1e288
};

// wuffs_base__private_implementation__f64_powers_of_10 holds powers of 10 that
// can be exactly represented by a float64 (what C calls a double).
static const double wuffs_base__private_implementation__f64_powers_of_10[23] = {
    1e0,  1e1,  1e2,  1e3,  1e4,  1e5,  1e6,  1e7,  1e8,  1e9,  1e10, 1e11,
    1e12, 1e13, 1e14, 1e15, 1e16, 1e17, 1e18, 1e19, 1e20, 1e21, 1e22,
};