File: ryu_printf_test_cases.cr

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# Test cases used by `./ryu_printf_spec.cr`

# The following two lists store: {value, fixed_precision, exp_precision}
# Iterate over them via macros only, otherwise the entire array literal will be
# materialized!
# The original specs contain also the full expected results which would have
# increased the file size by over 18x. Here we assume that `BigFloat#to_s` and
# `BigDecimal#to_s` are always correct, so that we don't have to write the long
# results in the source code.

# These values test every power of ten that's within the range of doubles.
ALL_POWERS_OF_TEN = [
  {1e-323, 1073, 749},
  {1e-322, 1072, 749},
  {1e-321, 1073, 751},
  {1e-320, 1071, 750},
  {1e-319, 1070, 750},
  {1e-318, 1073, 754},
  {1e-317, 1074, 757},
  {1e-316, 1074, 757},
  {1e-315, 1074, 758},
  {1e-314, 1074, 759},
  {1e-313, 1074, 761},
  {1e-312, 1074, 761},
  {1e-311, 1074, 762},
  {1e-310, 1074, 763},
  {1e-309, 1074, 765},
  {1e-308, 1073, 764},
  {1e-307, 1072, 764},
  {1e-306, 1069, 763},
  {1e-305, 1066, 760},
  {1e-304, 1062, 757},
  {1e-303, 1059, 755},
  {1e-302, 1054, 751},
  {1e-301, 1052, 751},
  {1e-300, 1049, 749},
  {1e-299, 1046, 746},
  {1e-298, 1042, 743},
  {1e-297, 1039, 742},
  {1e-296, 1035, 739},
  {1e-295, 1032, 737},
  {1e-294, 1029, 735},
  {1e-293, 1022, 729},
  {1e-292, 1021, 729},
  {1e-291, 1019, 727},
  {1e-290, 1015, 725},
  {1e-289, 1012, 723},
  {1e-288, 1009, 721},
  {1e-287, 1006, 719},
  {1e-286, 1003, 717},
  {1e-285, 999, 714},
  {1e-284, 996, 712},
  {1e-283, 993, 709},
  {1e-282, 986, 704},
  {1e-281, 985, 704},
  {1e-280, 981, 700},
  {1e-279, 979, 700},
  {1e-278, 976, 697},
  {1e-277, 973, 695},
  {1e-276, 957, 681},
  {1e-275, 966, 690},
  {1e-274, 963, 688},
  {1e-273, 954, 681},
  {1e-272, 956, 683},
  {1e-271, 953, 681},
  {1e-270, 948, 678},
  {1e-269, 944, 674},
  {1e-268, 943, 674},
  {1e-267, 935, 667},
  {1e-266, 934, 667},
  {1e-265, 933, 667},
  {1e-264, 925, 661},
  {1e-263, 924, 661},
  {1e-262, 923, 661},
  {1e-261, 920, 658},
  {1e-260, 916, 655},
  {1e-259, 909, 650},
  {1e-258, 910, 651},
  {1e-257, 904, 646},
  {1e-256, 903, 646},
  {1e-255, 898, 643},
  {1e-254, 894, 639},
  {1e-253, 890, 637},
  {1e-252, 890, 637},
  {1e-251, 886, 635},
  {1e-250, 881, 631},
  {1e-249, 880, 631},
  {1e-248, 876, 627},
  {1e-247, 872, 625},
  {1e-246, 870, 623},
  {1e-245, 863, 617},
  {1e-244, 862, 617},
  {1e-243, 860, 616},
  {1e-242, 850, 607},
  {1e-241, 849, 607},
  {1e-240, 848, 607},
  {1e-239, 845, 606},
  {1e-238, 840, 601},
  {1e-237, 839, 601},
  {1e-236, 835, 599},
  {1e-235, 829, 593},
  {1e-234, 828, 593},
  {1e-233, 827, 593},
  {1e-232, 823, 591},
  {1e-231, 819, 587},
  {1e-230, 817, 587},
  {1e-229, 813, 584},
  {1e-228, 810, 582},
  {1e-227, 807, 579},
  {1e-226, 803, 576},
  {1e-225, 799, 573},
  {1e-224, 796, 572},
  {1e-223, 792, 568},
  {1e-222, 790, 568},
  {1e-221, 787, 566},
  {1e-220, 783, 562},
  {1e-219, 777, 558},
  {1e-218, 776, 558},
  {1e-217, 773, 556},
  {1e-216, 768, 552},
  {1e-215, 767, 552},
  {1e-214, 763, 548},
  {1e-213, 758, 544},
  {1e-212, 757, 544},
  {1e-211, 753, 542},
  {1e-210, 747, 537},
  {1e-209, 746, 537},
  {1e-208, 740, 532},
  {1e-207, 740, 532},
  {1e-206, 737, 531},
  {1e-205, 731, 526},
  {1e-204, 730, 526},
  {1e-203, 723, 520},
  {1e-202, 722, 520},
  {1e-201, 720, 518},
  {1e-200, 715, 514},
  {1e-199, 714, 514},
  {1e-198, 709, 510},
  {1e-197, 706, 508},
  {1e-196, 703, 507},
  {1e-195, 699, 504},
  {1e-194, 697, 503},
  {1e-193, 693, 500},
  {1e-192, 689, 497},
  {1e-191, 684, 493},
  {1e-190, 683, 493},
  {1e-189, 680, 491},
  {1e-188, 676, 487},
  {1e-187, 672, 485},
  {1e-186, 669, 482},
  {1e-185, 666, 480},
  {1e-184, 663, 479},
  {1e-183, 660, 477},
  {1e-182, 655, 473},
  {1e-181, 654, 473},
  {1e-180, 647, 467},
  {1e-179, 646, 467},
  {1e-178, 641, 462},
  {1e-177, 640, 462},
  {1e-176, 632, 455},
  {1e-175, 631, 455},
  {1e-174, 630, 455},
  {1e-173, 624, 451},
  {1e-172, 623, 451},
  {1e-171, 618, 446},
  {1e-170, 617, 446},
  {1e-169, 614, 445},
  {1e-168, 610, 442},
  {1e-167, 607, 440},
  {1e-166, 604, 438},
  {1e-165, 600, 435},
  {1e-164, 597, 432},
  {1e-163, 594, 430},
  {1e-162, 591, 428},
  {1e-161, 587, 426},
  {1e-160, 582, 421},
  {1e-159, 581, 421},
  {1e-158, 577, 419},
  {1e-157, 574, 416},
  {1e-156, 571, 415},
  {1e-155, 567, 412},
  {1e-154, 563, 408},
  {1e-153, 561, 408},
  {1e-152, 557, 405},
  {1e-151, 553, 401},
  {1e-150, 551, 401},
  {1e-149, 547, 397},
  {1e-148, 544, 395},
  {1e-147, 540, 392},
  {1e-146, 538, 392},
  {1e-145, 534, 388},
  {1e-144, 527, 382},
  {1e-143, 526, 382},
  {1e-142, 521, 379},
  {1e-141, 520, 379},
  {1e-140, 517, 376},
  {1e-139, 514, 375},
  {1e-138, 511, 373},
  {1e-137, 508, 370},
  {1e-136, 504, 368},
  {1e-135, 499, 364},
  {1e-134, 498, 364},
  {1e-133, 493, 360},
  {1e-132, 487, 354},
  {1e-131, 486, 354},
  {1e-130, 482, 352},
  {1e-129, 477, 347},
  {1e-128, 478, 350},
  {1e-127, 473, 346},
  {1e-126, 470, 343},
  {1e-125, 468, 343},
  {1e-124, 464, 339},
  {1e-123, 459, 336},
  {1e-122, 458, 336},
  {1e-121, 452, 330},
  {1e-120, 451, 330},
  {1e-119, 448, 329},
  {1e-118, 444, 325},
  {1e-117, 441, 324},
  {1e-116, 437, 320},
  {1e-115, 431, 316},
  {1e-114, 430, 316},
  {1e-113, 428, 314},
  {1e-112, 424, 311},
  {1e-111, 421, 310},
  {1e-110, 417, 307},
  {1e-109, 414, 304},
  {1e-108, 411, 303},
  {1e-107, 407, 300},
  {1e-106, 405, 298},
  {1e-105, 401, 295},
  {1e-104, 398, 293},
  {1e-103, 395, 291},
  {1e-102, 391, 288},
  {1e-101, 388, 287},
  {1e-100, 381, 281},
  {1e-99, 380, 281},
  {1e-98, 378, 279},
  {1e-97, 375, 278},
  {1e-96, 370, 273},
  {1e-95, 368, 272},
  {1e-94, 364, 269},
  {1e-93, 360, 266},
  {1e-92, 358, 265},
  {1e-91, 355, 264},
  {1e-90, 351, 260},
  {1e-89, 348, 259},
  {1e-88, 345, 256},
  {1e-87, 342, 255},
  {1e-86, 338, 252},
  {1e-85, 334, 248},
  {1e-84, 328, 244},
  {1e-83, 327, 244},
  {1e-82, 320, 237},
  {1e-81, 319, 237},
  {1e-80, 318, 237},
  {1e-79, 313, 233},
  {1e-78, 312, 233},
  {1e-77, 306, 228},
  {1e-76, 305, 228},
  {1e-75, 299, 223},
  {1e-74, 298, 223},
  {1e-73, 295, 221},
  {1e-72, 291, 218},
  {1e-71, 287, 215},
  {1e-70, 285, 214},
  {1e-69, 280, 210},
  {1e-68, 278, 210},
  {1e-67, 275, 207},
  {1e-66, 271, 204},
  {1e-65, 268, 202},
  {1e-64, 265, 200},
  {1e-63, 262, 199},
  {1e-62, 255, 193},
  {1e-61, 254, 193},
  {1e-60, 251, 190},
  {1e-59, 245, 186},
  {1e-58, 244, 186},
  {1e-57, 242, 184},
  {1e-56, 238, 182},
  {1e-55, 235, 179},
  {1e-54, 230, 176},
  {1e-53, 229, 176},
  {1e-52, 221, 169},
  {1e-51, 220, 169},
  {1e-50, 219, 169},
  {1e-49, 215, 165},
  {1e-48, 209, 160},
  {1e-47, 208, 160},
  {1e-46, 205, 159},
  {1e-45, 202, 156},
  {1e-44, 199, 154},
  {1e-43, 195, 152},
  {1e-42, 192, 150},
  {1e-41, 189, 148},
  {1e-40, 183, 142},
  {1e-39, 182, 142},
  {1e-38, 177, 138},
  {1e-37, 175, 138},
  {1e-36, 171, 134},
  {1e-35, 169, 134},
  {1e-34, 165, 130},
  {1e-33, 160, 127},
  {1e-32, 159, 127},
  {1e-31, 148, 117},
  {1e-30, 147, 117},
  {1e-29, 149, 119},
  {1e-28, 146, 117},
  {1e-27, 138, 111},
  {1e-26, 137, 111},
  {1e-25, 136, 111},
  {1e-24, 132, 107},
  {1e-23, 129, 105},
  {1e-22, 125, 103},
  {1e-21, 122, 100},
  {1e-20, 119, 98},
  {1e-19, 114, 94},
  {1e-18, 110, 92},
  {1e-17, 109, 92},
  {1e-16, 104, 87},
  {1e-15, 101, 86},
  {1e-14, 99, 84},
  {1e-13, 95, 82},
  {1e-12, 92, 79},
  {1e-11, 89, 77},
  {1e-10, 86, 76},
  {1e-9, 82, 73},
  {1e-8, 78, 70},
  {1e-7, 73, 65},
  {1e-6, 72, 65},
  {1e-5, 69, 64},
  {1e-4, 66, 62},
  {1e-3, 60, 57},
  {1e-2, 59, 57},
  {1e-1, 55, 54},
  {1e0, 0, 0},
  {1e1, 0, 0},
  {1e2, 0, 0},
  {1e3, 0, 0},
  {1e4, 0, 0},
  {1e5, 0, 0},
  {1e6, 0, 0},
  {1e7, 0, 0},
  {1e8, 0, 0},
  {1e9, 0, 0},
  {1e10, 0, 0},
  {1e11, 0, 0},
  {1e12, 0, 0},
  {1e13, 0, 0},
  {1e14, 0, 0},
  {1e15, 0, 0},
  {1e16, 0, 0},
  {1e17, 0, 0},
  {1e18, 0, 0},
  {1e19, 0, 0},
  {1e20, 0, 0},
  {1e21, 0, 0},
  {1e22, 0, 0},
  {1e23, 0, 22},
  {1e24, 0, 23},
  {1e25, 0, 25},
  {1e26, 0, 26},
  {1e27, 0, 27},
  {1e28, 0, 27},
  {1e29, 0, 28},
  {1e30, 0, 30},
  {1e31, 0, 30},
  {1e32, 0, 32},
  {1e33, 0, 32},
  {1e34, 0, 32},
  {1e35, 0, 34},
  {1e36, 0, 36},
  {1e37, 0, 36},
  {1e38, 0, 37},
  {1e39, 0, 38},
  {1e40, 0, 40},
  {1e41, 0, 41},
  {1e42, 0, 42},
  {1e43, 0, 43},
  {1e44, 0, 44},
  {1e45, 0, 44},
  {1e46, 0, 45},
  {1e47, 0, 47},
  {1e48, 0, 47},
  {1e49, 0, 48},
  {1e50, 0, 49},
  {1e51, 0, 50},
  {1e52, 0, 50},
  {1e53, 0, 50},
  {1e54, 0, 54},
  {1e55, 0, 55},
  {1e56, 0, 56},
  {1e57, 0, 57},
  {1e58, 0, 57},
  {1e59, 0, 58},
  {1e60, 0, 59},
  {1e61, 0, 59},
  {1e62, 0, 62},
  {1e63, 0, 63},
  {1e64, 0, 64},
  {1e65, 0, 64},
  {1e66, 0, 65},
  {1e67, 0, 66},
  {1e68, 0, 67},
  {1e69, 0, 68},
  {1e70, 0, 68},
  {1e71, 0, 71},
  {1e72, 0, 71},
  {1e73, 0, 72},
  {1e74, 0, 73},
  {1e75, 0, 74},
  {1e76, 0, 76},
  {1e77, 0, 76},
  {1e78, 0, 78},
  {1e79, 0, 78},
  {1e80, 0, 80},
  {1e81, 0, 80},
  {1e82, 0, 81},
  {1e83, 0, 83},
  {1e84, 0, 84},
  {1e85, 0, 85},
  {1e86, 0, 85},
  {1e87, 0, 86},
  {1e88, 0, 86},
  {1e89, 0, 88},
  {1e90, 0, 89},
  {1e91, 0, 90},
  {1e92, 0, 92},
  {1e93, 0, 92},
  {1e94, 0, 94},
  {1e95, 0, 94},
  {1e96, 0, 96},
  {1e97, 0, 97},
  {1e98, 0, 97},
  {1e99, 0, 98},
  {1e100, 0, 100},
  {1e101, 0, 100},
  {1e102, 0, 100},
  {1e103, 0, 103},
  {1e104, 0, 103},
  {1e105, 0, 104},
  {1e106, 0, 106},
  {1e107, 0, 106},
  {1e108, 0, 108},
  {1e109, 0, 108},
  {1e110, 0, 110},
  {1e111, 0, 110},
  {1e112, 0, 111},
  {1e113, 0, 113},
  {1e114, 0, 113},
  {1e115, 0, 113},
  {1e116, 0, 113},
  {1e117, 0, 117},
  {1e118, 0, 117},
  {1e119, 0, 118},
  {1e120, 0, 119},
  {1e121, 0, 121},
  {1e122, 0, 122},
  {1e123, 0, 122},
  {1e124, 0, 123},
  {1e125, 0, 124},
  {1e126, 0, 124},
  {1e127, 0, 126},
  {1e128, 0, 126},
  {1e129, 0, 128},
  {1e130, 0, 130},
  {1e131, 0, 130},
  {1e132, 0, 131},
  {1e133, 0, 133},
  {1e134, 0, 133},
  {1e135, 0, 134},
  {1e136, 0, 136},
  {1e137, 0, 137},
  {1e138, 0, 137},
  {1e139, 0, 137},
  {1e140, 0, 140},
  {1e141, 0, 141},
  {1e142, 0, 142},
  {1e143, 0, 143},
  {1e144, 0, 143},
  {1e145, 0, 144},
  {1e146, 0, 145},
  {1e147, 0, 146},
  {1e148, 0, 148},
  {1e149, 0, 148},
  {1e150, 0, 149},
  {1e151, 0, 151},
  {1e152, 0, 152},
  {1e153, 0, 152},
  {1e154, 0, 154},
  {1e155, 0, 155},
  {1e156, 0, 155},
  {1e157, 0, 155},
  {1e158, 0, 157},
  {1e159, 0, 158},
  {1e160, 0, 160},
  {1e161, 0, 161},
  {1e162, 0, 161},
  {1e163, 0, 161},
  {1e164, 0, 164},
  {1e165, 0, 164},
  {1e166, 0, 165},
  {1e167, 0, 167},
  {1e168, 0, 167},
  {1e169, 0, 167},
  {1e170, 0, 170},
  {1e171, 0, 170},
  {1e172, 0, 172},
  {1e173, 0, 173},
  {1e174, 0, 174},
  {1e175, 0, 174},
  {1e176, 0, 176},
  {1e177, 0, 176},
  {1e178, 0, 178},
  {1e179, 0, 178},
  {1e180, 0, 180},
  {1e181, 0, 180},
  {1e182, 0, 182},
  {1e183, 0, 182},
  {1e184, 0, 184},
  {1e185, 0, 184},
  {1e186, 0, 184},
  {1e187, 0, 186},
  {1e188, 0, 188},
  {1e189, 0, 188},
  {1e190, 0, 190},
  {1e191, 0, 190},
  {1e192, 0, 192},
  {1e193, 0, 193},
  {1e194, 0, 193},
  {1e195, 0, 194},
  {1e196, 0, 195},
  {1e197, 0, 195},
  {1e198, 0, 198},
  {1e199, 0, 199},
  {1e200, 0, 199},
  {1e201, 0, 201},
  {1e202, 0, 200},
  {1e203, 0, 202},
  {1e204, 0, 202},
  {1e205, 0, 205},
  {1e206, 0, 206},
  {1e207, 0, 206},
  {1e208, 0, 207},
  {1e209, 0, 209},
  {1e210, 0, 209},
  {1e211, 0, 210},
  {1e212, 0, 211},
  {1e213, 0, 212},
  {1e214, 0, 213},
  {1e215, 0, 214},
  {1e216, 0, 216},
  {1e217, 0, 216},
  {1e218, 0, 217},
  {1e219, 0, 218},
  {1e220, 0, 219},
  {1e221, 0, 221},
  {1e222, 0, 221},
  {1e223, 0, 221},
  {1e224, 0, 223},
  {1e225, 0, 224},
  {1e226, 0, 225},
  {1e227, 0, 225},
  {1e228, 0, 227},
  {1e229, 0, 228},
  {1e230, 0, 230},
  {1e231, 0, 231},
  {1e232, 0, 231},
  {1e233, 0, 232},
  {1e234, 0, 234},
  {1e235, 0, 235},
  {1e236, 0, 235},
  {1e237, 0, 235},
  {1e238, 0, 238},
  {1e239, 0, 238},
  {1e240, 0, 240},
  {1e241, 0, 241},
  {1e242, 0, 241},
  {1e243, 0, 243},
  {1e244, 0, 243},
  {1e245, 0, 245},
  {1e246, 0, 246},
  {1e247, 0, 246},
  {1e248, 0, 248},
  {1e249, 0, 247},
  {1e250, 0, 247},
  {1e251, 0, 251},
  {1e252, 0, 252},
  {1e253, 0, 252},
  {1e254, 0, 252},
  {1e255, 0, 254},
  {1e256, 0, 256},
  {1e257, 0, 256},
  {1e258, 0, 258},
  {1e259, 0, 258},
  {1e260, 0, 260},
  {1e261, 0, 258},
  {1e262, 0, 262},
  {1e263, 0, 262},
  {1e264, 0, 264},
  {1e265, 0, 265},
  {1e266, 0, 266},
  {1e267, 0, 266},
  {1e268, 0, 266},
  {1e269, 0, 269},
  {1e270, 0, 269},
  {1e271, 0, 270},
  {1e272, 0, 272},
  {1e273, 0, 272},
  {1e274, 0, 273},
  {1e275, 0, 274},
  {1e276, 0, 276},
  {1e277, 0, 277},
  {1e278, 0, 277},
  {1e279, 0, 279},
  {1e280, 0, 280},
  {1e281, 0, 280},
  {1e282, 0, 280},
  {1e283, 0, 282},
  {1e284, 0, 284},
  {1e285, 0, 284},
  {1e286, 0, 286},
  {1e287, 0, 287},
  {1e288, 0, 288},
  {1e289, 0, 289},
  {1e290, 0, 289},
  {1e291, 0, 290},
  {1e292, 0, 292},
  {1e293, 0, 292},
  {1e294, 0, 294},
  {1e295, 0, 294},
  {1e296, 0, 294},
  {1e297, 0, 297},
  {1e298, 0, 297},
  {1e299, 0, 299},
  {1e300, 0, 299},
  {1e301, 0, 299},
  {1e302, 0, 302},
  {1e303, 0, 303},
  {1e304, 0, 303},
  {1e305, 0, 303},
  {1e306, 0, 306},
  {1e307, 0, 306},
  {1e308, 0, 308},
] of _

# These values test every binary exponent (which would be more obvious with hexfloats).
# The mantissas were randomly generated.
ALL_BINARY_EXPONENTS = [
  {8.667315560151837e-309, 1074, 765},
  {3.402496288854889e-308, 1072, 764},
  {5.674095874064163e-308, 1068, 760},
  {1.5540526173622352e-307, 1072, 765},
  {1.990320005135143e-307, 1071, 764},
  {5.107418539046847e-307, 1070, 763},
  {9.580341507134765e-307, 1068, 761},
  {2.7686246461533843e-306, 1067, 761},
  {4.123539674247709e-306, 1066, 760},
  {1.0292523314007669e-305, 1065, 760},
  {1.869562966771459e-305, 1065, 760},
  {2.83258275754601e-305, 1063, 758},
  {6.143575467580988e-305, 1061, 756},
  {1.4317575812076783e-304, 1062, 758},
  {1.8736954404407843e-304, 1061, 757},
  {3.8678085703767116e-304, 1060, 756},
  {7.635297514304952e-304, 1058, 754},
  {1.9931833457401843e-303, 1056, 753},
  {5.7104439440441904e-303, 1057, 754},
  {5.845773229837182e-303, 1056, 753},
  {1.6446596413123796e-302, 1054, 752},
  {3.571334515579776e-302, 1054, 752},
  {5.226450761688444e-302, 1053, 751},
  {1.0747997253788843e-301, 1051, 750},
  {1.90892926200005e-301, 1051, 750},
  {6.786272682763782e-301, 1047, 746},
  {1.2172372613102281e-300, 1044, 744},
  {1.7966676643662128e-300, 1042, 742},
  {5.462819694528703e-300, 1047, 747},
  {6.961706248722051e-300, 1043, 743},
  {1.5112507155402445e-299, 1045, 746},
  {2.673980873749012e-299, 1044, 745},
  {8.503369157355244e-299, 1043, 744},
  {1.3233106901096892e-298, 1042, 744},
  {2.129178977672023e-298, 1041, 743},
  {4.178648615235546e-298, 1036, 738},
  {9.216189377840373e-298, 1038, 740},
  {2.0166542228894894e-297, 1036, 739},
  {3.5449747515908894e-297, 1034, 737},
  {8.064939085743458e-297, 1036, 739},
  {2.1182119864764602e-296, 1035, 739},
  {3.820427653349436e-296, 1034, 738},
  {9.166969936802109e-296, 1033, 737},
  {1.0587007370833377e-295, 1031, 736},
  {2.5617734189585968e-295, 1030, 735},
  {6.117667163341597e-295, 1030, 735},
  {1.2442918509206014e-294, 1028, 734},
  {3.100051235126117e-294, 1027, 733},
  {5.514599643126014e-294, 1026, 732},
  {8.019518080011996e-294, 1025, 731},
  {2.2148549407571022e-293, 1022, 729},
  {4.20911452464387e-293, 1024, 731},
  {6.673970944986261e-293, 1022, 729},
  {1.746546364023377e-292, 1021, 729},
  {2.5532945426002905e-292, 1021, 729},
  {7.167199051004838e-292, 1020, 728},
  {1.4331413352279302e-291, 1018, 727},
  {1.6537479214140957e-291, 1018, 727},
  {4.290843909020547e-291, 1017, 726},
  {9.634563122144926e-291, 1014, 723},
  {2.1086057222075156e-290, 1010, 720},
  {3.4206800637910767e-290, 1013, 723},
  {6.629016758967737e-290, 1013, 723},
  {1.352094685757577e-289, 1011, 722},
  {3.065153212531983e-289, 1011, 722},
  {5.074022975467963e-289, 1006, 717},
  {1.5066401531008766e-288, 1009, 721},
  {2.8015937941494583e-288, 1008, 720},
  {5.38303645298669e-288, 1007, 719},
  {8.441234238050258e-288, 1006, 718},
  {1.7229963037415354e-287, 1004, 717},
  {4.998022788892795e-287, 1004, 717},
  {8.728697912491584e-287, 1003, 716},
  {1.9042271010497776e-286, 1002, 716},
  {2.9003728382951163e-286, 1000, 714},
  {6.030230011480532e-286, 999, 713},
  {1.2707290656410452e-285, 997, 712},
  {3.3470583063356332e-285, 998, 713},
  {6.5966578537292035e-285, 997, 712},
  {7.427398668320939e-285, 995, 710},
  {2.5312725644714646e-284, 994, 710},
  {4.7441324100905746e-284, 994, 710},
  {7.352811059453878e-284, 992, 708},
  {1.2773195914029405e-283, 990, 707},
  {3.1336514683809336e-283, 991, 708},
  {4.624339948076099e-283, 990, 707},
  {8.894087772740341e-283, 989, 706},
  {2.3953652083727512e-282, 988, 706},
  {3.761567466326268e-282, 985, 703},
  {1.2928212167160486e-281, 985, 704},
  {2.2480352182123753e-281, 982, 701},
  {3.154850939942071e-281, 983, 702},
  {6.071363984983044e-281, 982, 701},
  {2.1910202165183368e-280, 981, 701},
  {4.3370603492214e-280, 980, 700},
  {6.968471572869319e-280, 980, 700},
  {1.473331115243779e-279, 979, 700},
  {2.66044060949483e-279, 971, 692},
  {5.683973436284207e-279, 976, 697},
  {1.4089452631685327e-278, 976, 698},
  {2.2755564362864927e-278, 973, 695},
  {3.821906858286435e-278, 973, 695},
  {8.103117627864485e-278, 973, 695},
  {1.832473425427903e-277, 970, 693},
  {2.727222054531752e-277, 970, 693},
  {7.882910515028218e-277, 964, 687},
  {1.479332526434952e-276, 966, 690},
  {2.2180410620430226e-276, 968, 692},
  {5.690649743658698e-276, 966, 690},
  {1.4121156100358157e-275, 966, 691},
  {2.6685811370633676e-275, 965, 690},
  {4.6692815012344967e-275, 963, 688},
  {9.834548098669551e-275, 958, 683},
  {1.8600057734718372e-274, 962, 688},
  {2.811775675630843e-274, 961, 687},
  {6.27142702954425e-274, 959, 685},
  {1.0250975871333601e-273, 959, 686},
  {2.5253325080332935e-273, 958, 685},
  {6.913296125147658e-273, 957, 684},
  {9.747372287629775e-273, 956, 683},
  {1.9721670909138485e-272, 953, 681},
  {4.469048372679605e-272, 953, 681},
  {1.0205638445192075e-271, 952, 681},
  {1.5594946591458144e-271, 952, 681},
  {2.3721122629194564e-271, 949, 678},
  {5.551135919284155e-271, 944, 673},
  {1.0734739674446298e-270, 947, 677},
  {2.4398554262702667e-270, 948, 678},
  {6.8642158764630495e-270, 942, 672},
  {1.2055339469240307e-269, 941, 672},
  {1.5235738192618518e-269, 945, 676},
  {4.043876497442965e-269, 944, 675},
  {8.743556251142875e-269, 941, 672},
  {1.4649312749107113e-268, 941, 673},
  {3.98040680032538e-268, 941, 673},
  {8.586286660615516e-268, 938, 670},
  {1.657418018730156e-267, 939, 672},
  {3.613106834542997e-267, 937, 670},
  {5.9183241751764955e-267, 936, 669},
  {1.1798475245572565e-266, 935, 669},
  {3.084511928870661e-266, 934, 668},
  {4.1367697432326765e-266, 930, 664},
  {1.1356367562498619e-265, 933, 668},
  {1.5494624584252724e-265, 928, 663},
  {3.028575537095104e-265, 931, 666},
  {9.42740333348115e-265, 930, 665},
  {1.729174836691517e-264, 929, 665},
  {2.1531241335994103e-264, 928, 664},
  {7.094381157920946e-264, 927, 663},
  {1.037244238361319e-263, 922, 659},
  {1.6682266784627316e-263, 925, 662},
  {5.516139500818587e-263, 924, 661},
  {1.1456020464232508e-262, 919, 657},
  {2.066981873698563e-262, 919, 657},
  {2.7219184652406806e-262, 921, 659},
  {5.081283542674735e-262, 918, 656},
  {1.6876650530578208e-261, 917, 656},
  {2.276883127404377e-261, 916, 655},
  {6.29191834725416e-261, 917, 656},
  {9.114070309202437e-261, 915, 654},
  {2.5433112499173348e-260, 909, 649},
  {4.8383034142174994e-260, 914, 654},
  {9.557162041008455e-260, 913, 653},
  {2.3218163991190385e-259, 912, 653},
  {4.4322942901196377e-259, 911, 652},
  {7.248624545665186e-259, 904, 645},
  {1.4667081257360905e-258, 909, 651},
  {3.832202635359104e-258, 908, 650},
  {6.943148025853397e-258, 905, 647},
  {9.18729939902564e-258, 906, 648},
  {3.0584908958671776e-257, 905, 648},
  {3.332730679024704e-257, 901, 644},
  {7.495951055510854e-257, 902, 645},
  {1.6420266726944826e-256, 900, 644},
  {3.9297951542678785e-256, 900, 644},
  {8.581799124622545e-256, 896, 640},
  {1.3408011506316038e-255, 899, 644},
  {3.074598537137766e-255, 898, 643},
  {8.304947313449564e-255, 893, 638},
  {1.4474411243713317e-254, 893, 639},
  {1.9586457971591685e-254, 895, 641},
  {4.686715367492042e-254, 894, 640},
  {1.3394037849881335e-253, 893, 640},
  {2.3636119615931954e-253, 892, 639},
  {2.941610445695594e-253, 891, 638},
  {5.910628843543644e-253, 890, 637},
  {1.6810396848558274e-252, 889, 637},
  {3.105977744955943e-252, 887, 635},
  {5.296557380144569e-252, 886, 634},
  {1.4534181673457758e-251, 886, 635},
  {2.3938479247234097e-251, 885, 634},
  {5.13191114201037e-251, 884, 633},
  {8.74142907505523e-251, 883, 632},
  {2.0810847152471556e-250, 881, 631},
  {3.470210840000035e-250, 879, 629},
  {7.63186683615216e-250, 879, 629},
  {1.5834019337617896e-249, 872, 623},
  {2.760497402953147e-249, 876, 627},
  {4.645119455324602e-249, 877, 628},
  {9.91990200069646e-249, 874, 625},
  {2.5293584256227207e-248, 874, 626},
  {6.890528046616735e-248, 874, 626},
  {9.9700406511611e-248, 870, 622},
  {2.0741563200652303e-247, 872, 625},
  {4.6848861238967826e-247, 869, 622},
  {7.812879056117969e-247, 870, 623},
  {1.16023447415079e-246, 868, 622},
  {2.6285314099653654e-246, 867, 621},
  {7.24619526711458e-246, 866, 620},
  {1.513557579372713e-245, 864, 619},
  {2.2022598987138438e-245, 864, 619},
  {4.1410759136055036e-245, 864, 619},
  {1.0252325908734784e-244, 863, 619},
  {2.0526028348315092e-244, 861, 617},
  {3.9232668413253934e-244, 861, 617},
  {7.579615073559597e-244, 859, 615},
  {2.042372149921196e-243, 859, 616},
  {2.9353293314833334e-243, 858, 615},
  {6.372363858570045e-243, 855, 612},
  {1.575234414235322e-242, 854, 612},
  {3.3434436478293493e-242, 855, 613},
  {5.199566493700135e-242, 853, 611},
  {1.151222665835575e-241, 853, 612},
  {1.5543636774561637e-241, 850, 609},
  {4.079493099457495e-241, 850, 609},
  {8.503783454502844e-241, 850, 609},
  {2.0072820595479573e-240, 845, 605},
  {3.536438208901198e-240, 845, 605},
  {8.722809014595794e-240, 845, 605},
  {1.3749379101340066e-239, 846, 607},
  {3.05119881849728e-239, 845, 606},
  {6.2081425746751336e-239, 844, 605},
  {1.5212878641555803e-238, 841, 603},
  {2.521616635184641e-238, 842, 604},
  {4.498289788351931e-238, 841, 603},
  {7.28128014416453e-238, 834, 596},
  {2.0208837171448896e-237, 839, 602},
  {4.2234650668214423e-237, 837, 600},
  {8.084125743595665e-237, 836, 599},
  {1.6733590187416607e-236, 835, 599},
  {2.744824473945537e-236, 835, 599},
  {6.9330212812845956e-236, 832, 596},
  {9.887608848404935e-236, 831, 595},
  {1.8140520866375598e-235, 832, 597},
  {3.4634694166405886e-235, 831, 596},
  {1.0308725436052673e-234, 830, 596},
  {1.3123008280909585e-234, 829, 595},
  {3.87322423781539e-234, 825, 591},
  {9.2010739647813e-234, 827, 593},
  {1.1992483584063614e-233, 817, 584},
  {2.3452909097606e-233, 823, 590},
  {6.55832259537843e-233, 824, 591},
  {1.01023596160976e-232, 822, 590},
  {2.5973213970621353e-232, 822, 590},
  {4.955980006523515e-232, 821, 589},
  {1.1244377262803144e-231, 820, 589},
  {2.4089050126555283e-231, 819, 588},
  {3.1957993198054626e-231, 815, 584},
  {6.380419758740376e-231, 816, 585},
  {1.6095894110621704e-230, 816, 586},
  {4.032612821947131e-230, 813, 583},
  {6.0387918131443855e-230, 811, 581},
  {8.974323011245674e-230, 813, 583},
  {1.8798157375327938e-229, 812, 583},
  {6.1019603119906395e-229, 810, 581},
  {1.1326182622927228e-228, 808, 580},
  {1.3463284210193606e-228, 808, 580},
  {4.951126320251196e-228, 806, 578},
  {8.472853590985601e-228, 806, 578},
  {1.268665118648964e-227, 802, 575},
  {2.688551806792703e-227, 805, 578},
  {4.421464033750511e-227, 803, 576},
  {1.6504299596692555e-226, 803, 577},
  {2.290009142698998e-226, 799, 573},
  {4.095081668886285e-226, 800, 574},
  {1.15703960191472e-225, 799, 574},
  {1.8221726162720878e-225, 799, 574},
  {3.7536981380660996e-225, 798, 573},
  {7.40644242989838e-225, 797, 572},
  {1.5302655517853282e-224, 796, 572},
  {3.266244852085614e-224, 794, 570},
  {6.839580807204396e-224, 794, 570},
  {1.1596240640257126e-223, 792, 569},
  {2.137739829010208e-223, 792, 569},
  {5.154905434635419e-223, 790, 567},
  {7.890896642961214e-223, 790, 567},
  {2.4268259861629554e-222, 788, 566},
  {5.1376518013281177e-222, 788, 566},
  {6.49233931232799e-222, 785, 563},
  {1.5726294053843144e-221, 784, 563},
  {2.5630401696102993e-221, 783, 562},
  {7.564140571297787e-221, 784, 563},
  {1.572950734084536e-220, 783, 563},
  {3.270170075841635e-220, 782, 562},
  {3.794310430010385e-220, 781, 561},
  {7.2152364285788e-220, 780, 560},
  {2.6272169024527132e-219, 779, 560},
  {4.969214075705504e-219, 778, 559},
  {5.88301228914231e-219, 777, 558},
  {1.4743436359705467e-218, 776, 558},
  {3.4783661139951837e-218, 774, 556},
  {5.813216384022507e-218, 774, 556},
  {1.4584641434878504e-217, 769, 552},
  {2.3948318645722384e-217, 771, 554},
  {6.217084198272334e-217, 771, 554},
  {1.2105626076543997e-216, 770, 554},
  {2.7486687055906063e-216, 768, 552},
  {3.502765745049966e-216, 768, 552},
  {9.371878794082114e-216, 765, 549},
  {2.2015678401956502e-215, 766, 551},
  {3.05741111150528e-215, 765, 550},
  {5.373256321068217e-215, 764, 549},
  {1.0390415242853729e-214, 763, 549},
  {2.5621446229095083e-214, 761, 547},
  {6.657612640369708e-214, 759, 545},
  {1.0096315129023046e-213, 760, 547},
  {2.385050068827949e-213, 759, 546},
  {4.872323574333538e-213, 756, 543},
  {1.1263700063301884e-212, 757, 545},
  {1.7927923533931953e-212, 755, 543},
  {4.1945272696274144e-212, 755, 543},
  {7.22363072585383e-212, 752, 540},
  {9.64175435706941e-212, 753, 541},
  {2.805853499967036e-211, 752, 541},
  {7.509881594270143e-211, 750, 539},
  {1.4162133808983744e-210, 750, 540},
  {2.760873558001602e-210, 749, 539},
  {5.239340425140705e-210, 748, 538},
  {1.1985208897227799e-209, 747, 538},
  {1.7811558999586524e-209, 743, 534},
  {4.196264296353732e-209, 745, 536},
  {9.615178102174303e-209, 744, 535},
  {1.8427321798270692e-208, 742, 534},
  {2.9126998289538513e-208, 742, 534},
  {4.61528401072508e-208, 740, 532},
  {1.3913867725663096e-207, 735, 528},
  {1.7692162295985285e-207, 736, 529},
  {3.3309984084439476e-207, 738, 531},
  {6.851070184689407e-207, 736, 529},
  {2.3088921688496224e-206, 736, 530},
  {4.569104830644564e-206, 735, 529},
  {9.727078311637122e-206, 733, 527},
  {1.0256959546160606e-205, 733, 528},
  {3.8508135367330314e-205, 725, 520},
  {5.362873934497765e-205, 731, 526},
  {1.178267040698183e-204, 727, 523},
  {1.9633198540986484e-204, 727, 523},
  {5.684033913906095e-204, 728, 524},
  {1.0645321758200814e-203, 727, 524},
  {1.6758731287663245e-203, 726, 523},
  {4.3010538577728234e-203, 724, 521},
  {8.557459533511549e-203, 721, 518},
  {1.1995252022699291e-202, 723, 521},
  {3.224746096518046e-202, 719, 517},
  {5.329245319538759e-202, 720, 518},
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  {1.4139675630970964e+274, 0, 273},
  {2.907211624912509e+274, 0, 274},
  {4.372977278689428e+274, 0, 274},
  {1.2067462091729205e+275, 0, 275},
  {2.224391242910452e+275, 0, 275},
  {4.317611102271228e+275, 0, 275},
  {5.865999613363234e+275, 0, 275},
  {1.8057130538588834e+276, 0, 276},
  {2.684819410822478e+276, 0, 276},
  {6.918394090981146e+276, 0, 276},
  {9.614934849906353e+276, 0, 276},
  {3.489094951176538e+277, 0, 277},
  {6.096297720785519e+277, 0, 276},
  {7.672262077744885e+277, 0, 277},
  {1.7454649363112346e+278, 0, 278},
  {4.3709703490882645e+278, 0, 278},
  {1.0726114671866103e+279, 0, 279},
  {1.3228423831361687e+279, 0, 279},
  {3.696652073770945e+279, 0, 279},
  {5.506752176655332e+279, 0, 278},
  {1.4487895211141177e+280, 0, 280},
  {2.9868446101560017e+280, 0, 279},
  {5.1539637484359395e+280, 0, 280},
  {1.3665660611345062e+281, 0, 281},
  {2.7298170376572543e+281, 0, 280},
  {4.090888763436566e+281, 0, 280},
  {7.150463385743894e+281, 0, 281},
  {1.5175210833272951e+282, 0, 282},
  {4.186412589165422e+282, 0, 282},
  {6.374560719497041e+282, 0, 282},
  {1.5603097675062575e+283, 0, 283},
  {2.303138994294191e+283, 0, 283},
  {6.845537430162203e+283, 0, 283},
  {8.140470197133932e+283, 0, 283},
  {2.8387070865957636e+284, 0, 284},
  {4.7222972051563225e+284, 0, 283},
  {7.735866498835463e+284, 0, 284},
  {1.456494620618158e+285, 0, 285},
  {3.765187536411294e+285, 0, 285},
  {5.407406833340397e+285, 0, 284},
  {1.6691777225183443e+286, 0, 286},
  {2.842291093748383e+286, 0, 285},
  {3.9527246153864666e+286, 0, 286},
  {9.117687890595329e+286, 0, 286},
  {2.6403715176860095e+287, 0, 287},
  {4.672760871330719e+287, 0, 287},
  {9.585177496788628e+287, 0, 285},
  {1.823719730845468e+288, 0, 287},
  {3.3099160671433535e+288, 0, 288},
  {8.394239974695799e+288, 0, 287},
  {1.3765053672754183e+289, 0, 289},
  {3.643679829326757e+289, 0, 289},
  {6.662084711556889e+289, 0, 289},
  {1.4882800748283324e+290, 0, 290},
  {1.8128485634074353e+290, 0, 290},
  {3.59863757645859e+290, 0, 289},
  {1.1306303530723758e+291, 0, 291},
  {1.9883184243838977e+291, 0, 291},
  {3.152458971727972e+291, 0, 291},
  {5.55344865848389e+291, 0, 289},
  {1.9381607498203374e+292, 0, 291},
  {3.364847896300297e+292, 0, 292},
  {6.842765724941906e+292, 0, 291},
  {1.249825938708993e+293, 0, 293},
  {2.392791615385826e+293, 0, 293},
  {4.152722646899415e+293, 0, 293},
  {6.790906283978802e+293, 0, 293},
  {1.3561785760749324e+294, 0, 294},
  {3.341059095259842e+294, 0, 293},
  {9.977930881477503e+294, 0, 294},
  {1.515106038250912e+295, 0, 294},
  {3.002184910089352e+295, 0, 295},
  {5.876579596327993e+295, 0, 295},
  {1.4003917488295084e+296, 0, 296},
  {3.1684232621942047e+296, 0, 296},
  {3.4747005896842154e+296, 0, 296},
  {7.669723855021269e+296, 0, 296},
  {1.3614131925096533e+297, 0, 297},
  {3.191738550947262e+297, 0, 297},
  {8.888378843987562e+297, 0, 297},
  {1.5112090835975456e+298, 0, 298},
  {2.3682327923940456e+298, 0, 298},
  {5.099780421145732e+298, 0, 298},
  {1.0673033377644726e+299, 0, 298},
  {2.378013021177001e+299, 0, 299},
  {6.554057728282088e+299, 0, 299},
  {8.318933161474208e+299, 0, 299},
  {1.3614082701057758e+300, 0, 300},
  {5.35086581101499e+300, 0, 300},
  {8.494089296675853e+300, 0, 299},
  {1.0890134027784214e+301, 0, 301},
  {2.358927877102592e+301, 0, 301},
  {8.117690363105265e+301, 0, 301},
  {9.341511426794588e+301, 0, 301},
  {2.64210043201936e+302, 0, 302},
  {6.847933389378864e+302, 0, 302},
  {1.1002556200184007e+303, 0, 303},
  {2.5611530892094995e+303, 0, 303},
  {5.076344585537476e+303, 0, 303},
  {8.304487832500949e+303, 0, 303},
  {1.1230804446665463e+304, 0, 304},
  {4.2777559220816043e+304, 0, 304},
  {6.283260967439312e+304, 0, 304},
  {1.3747215164191865e+305, 0, 305},
  {3.3096929273918684e+305, 0, 305},
  {6.171133478197849e+305, 0, 305},
  {1.2292521010494213e+306, 0, 306},
  {2.2862202954633178e+306, 0, 305},
  {3.5065941308845355e+306, 0, 306},
  {1.0940422247589228e+307, 0, 307},
  {2.0068458193014486e+307, 0, 306},
  {2.7914963723745636e+307, 0, 307},
  {6.123699292104195e+307, 0, 307},
  {1.7026387749989901e+308, 0, 308},
] of _

# For brevity, we avoid testing all possible combinations of P and X. Instead, we test:
# * All values of P where some X can be affected by rounding. (For double, this is [1, 15].)
# * P == 25, which is arbitrary.
# * P == numeric_limits::max_exponent10 + 1. This selects fixed notation for numeric_limits::max(),
#   so it's the largest interesting value of P.
# * Finally, we test the transitions around X == P - 1, ensuring that we can recognize every value of X.
GEN_TRANSITIONS = [
  {"0x1.8e757928e0c9dp-14", 1, "9e-5"},
  {"0x1.8e757928e0c9ep-14", 1, "0.0001"},
  {"0x1.f212d77318fc5p-11", 1, "0.0009"},
  {"0x1.f212d77318fc6p-11", 1, "0.001"},
  {"0x1.374bc6a7ef9dbp-7", 1, "0.009"},
  {"0x1.374bc6a7ef9dcp-7", 1, "0.01"},
  {"0x1.851eb851eb851p-4", 1, "0.09"},
  {"0x1.851eb851eb852p-4", 1, "0.1"},
  {"0x1.e666666666666p-1", 1, "0.9"},
  {"0x1.e666666666667p-1", 1, "1"},
  {"0x1.2ffffffffffffp+3", 1, "9"},
  {"0x1.3000000000000p+3", 1, "1e+1"},
  {"0x1.a1554fbdad751p-14", 2, "9.9e-5"},
  {"0x1.a1554fbdad752p-14", 2, "0.0001"},
  {"0x1.04d551d68c692p-10", 2, "0.00099"},
  {"0x1.04d551d68c693p-10", 2, "0.001"},
  {"0x1.460aa64c2f837p-7", 2, "0.0099"},
  {"0x1.460aa64c2f838p-7", 2, "0.01"},
  {"0x1.978d4fdf3b645p-4", 2, "0.099"},
  {"0x1.978d4fdf3b646p-4", 2, "0.1"},
  {"0x1.fd70a3d70a3d7p-1", 2, "0.99"},
  {"0x1.fd70a3d70a3d8p-1", 2, "1"},
  {"0x1.3e66666666666p+3", 2, "9.9"},
  {"0x1.3e66666666667p+3", 2, "10"},
  {"0x1.8dfffffffffffp+6", 2, "99"},
  {"0x1.8e00000000000p+6", 2, "1e+2"},
  {"0x1.a3387ecc8eb96p-14", 3, "9.99e-5"},
  {"0x1.a3387ecc8eb97p-14", 3, "0.0001"},
  {"0x1.06034f3fd933ep-10", 3, "0.000999"},
  {"0x1.06034f3fd933fp-10", 3, "0.001"},
  {"0x1.4784230fcf80dp-7", 3, "0.00999"},
  {"0x1.4784230fcf80ep-7", 3, "0.01"},
  {"0x1.99652bd3c3611p-4", 3, "0.0999"},
  {"0x1.99652bd3c3612p-4", 3, "0.1"},
  {"0x1.ffbe76c8b4395p-1", 3, "0.999"},
  {"0x1.ffbe76c8b4396p-1", 3, "1"},
  {"0x1.3fd70a3d70a3dp+3", 3, "9.99"},
  {"0x1.3fd70a3d70a3ep+3", 3, "10"},
  {"0x1.8fcccccccccccp+6", 3, "99.9"},
  {"0x1.8fccccccccccdp+6", 3, "100"},
  {"0x1.f3bffffffffffp+9", 3, "999"},
  {"0x1.f3c0000000000p+9", 3, "1e+3"},
  {"0x1.a368d04e0ba6ap-14", 4, "9.999e-5"},
  {"0x1.a368d04e0ba6bp-14", 4, "0.0001"},
  {"0x1.06218230c7482p-10", 4, "0.0009999"},
  {"0x1.06218230c7483p-10", 4, "0.001"},
  {"0x1.47a9e2bcf91a3p-7", 4, "0.009999"},
  {"0x1.47a9e2bcf91a4p-7", 4, "0.01"},
  {"0x1.99945b6c3760bp-4", 4, "0.09999"},
  {"0x1.99945b6c3760cp-4", 4, "0.1"},
  {"0x1.fff972474538ep-1", 4, "0.9999"},
  {"0x1.fff972474538fp-1", 4, "1"},
  {"0x1.3ffbe76c8b439p+3", 4, "9.999"},
  {"0x1.3ffbe76c8b43ap+3", 4, "10"},
  {"0x1.8ffae147ae147p+6", 4, "99.99"},
  {"0x1.8ffae147ae148p+6", 4, "100"},
  {"0x1.f3f9999999999p+9", 4, "999.9"},
  {"0x1.f3f999999999ap+9", 4, "1000"},
  {"0x1.387bfffffffffp+13", 4, "9999"},
  {"0x1.387c000000000p+13", 4, "1e+4"},
  {"0x1.a36da54164f19p-14", 5, "9.9999e-5"},
  {"0x1.a36da54164f1ap-14", 5, "0.0001"},
  {"0x1.06248748df16fp-10", 5, "0.00099999"},
  {"0x1.06248748df170p-10", 5, "0.001"},
  {"0x1.47ada91b16dcbp-7", 5, "0.0099999"},
  {"0x1.47ada91b16dccp-7", 5, "0.01"},
  {"0x1.99991361dc93ep-4", 5, "0.099999"},
  {"0x1.99991361dc93fp-4", 5, "0.1"},
  {"0x1.ffff583a53b8ep-1", 5, "0.99999"},
  {"0x1.ffff583a53b8fp-1", 5, "1"},
  {"0x1.3fff972474538p+3", 5, "9.9999"},
  {"0x1.3fff972474539p+3", 5, "10"},
  {"0x1.8fff7ced91687p+6", 5, "99.999"},
  {"0x1.8fff7ced91688p+6", 5, "100"},
  {"0x1.f3ff5c28f5c28p+9", 5, "999.99"},
  {"0x1.f3ff5c28f5c29p+9", 5, "1000"},
  {"0x1.387f999999999p+13", 5, "9999.9"},
  {"0x1.387f99999999ap+13", 5, "10000"},
  {"0x1.869f7ffffffffp+16", 5, "99999"},
  {"0x1.869f800000000p+16", 5, "1e+5"},
  {"0x1.a36e20f35445dp-14", 6, "9.99999e-5"},
  {"0x1.a36e20f35445ep-14", 6, "0.0001"},
  {"0x1.0624d49814abap-10", 6, "0.000999999"},
  {"0x1.0624d49814abbp-10", 6, "0.001"},
  {"0x1.47ae09be19d69p-7", 6, "0.00999999"},
  {"0x1.47ae09be19d6ap-7", 6, "0.01"},
  {"0x1.99998c2da04c3p-4", 6, "0.0999999"},
  {"0x1.99998c2da04c4p-4", 6, "0.1"},
  {"0x1.ffffef39085f4p-1", 6, "0.999999"},
  {"0x1.ffffef39085f5p-1", 6, "1"},
  {"0x1.3ffff583a53b8p+3", 6, "9.99999"},
  {"0x1.3ffff583a53b9p+3", 6, "10"},
  {"0x1.8ffff2e48e8a7p+6", 6, "99.9999"},
  {"0x1.8ffff2e48e8a8p+6", 6, "100"},
  {"0x1.f3ffef9db22d0p+9", 6, "999.999"},
  {"0x1.f3ffef9db22d1p+9", 6, "1000"},
  {"0x1.387ff5c28f5c2p+13", 6, "9999.99"},
  {"0x1.387ff5c28f5c3p+13", 6, "10000"},
  {"0x1.869ff33333333p+16", 6, "99999.9"},
  {"0x1.869ff33333334p+16", 6, "100000"},
  {"0x1.e847effffffffp+19", 6, "999999"},
  {"0x1.e847f00000000p+19", 6, "1e+6"},
  {"0x1.a36e2d51ec34bp-14", 7, "9.999999e-5"},
  {"0x1.a36e2d51ec34cp-14", 7, "0.0001"},
  {"0x1.0624dc5333a0ep-10", 7, "0.0009999999"},
  {"0x1.0624dc5333a0fp-10", 7, "0.001"},
  {"0x1.47ae136800892p-7", 7, "0.009999999"},
  {"0x1.47ae136800893p-7", 7, "0.01"},
  {"0x1.9999984200ab7p-4", 7, "0.09999999"},
  {"0x1.9999984200ab8p-4", 7, "0.1"},
  {"0x1.fffffe5280d65p-1", 7, "0.9999999"},
  {"0x1.fffffe5280d66p-1", 7, "1"},
  {"0x1.3ffffef39085fp+3", 7, "9.999999"},
  {"0x1.3ffffef390860p+3", 7, "10"},
  {"0x1.8ffffeb074a77p+6", 7, "99.99999"},
  {"0x1.8ffffeb074a78p+6", 7, "100"},
  {"0x1.f3fffe5c91d14p+9", 7, "999.9999"},
  {"0x1.f3fffe5c91d15p+9", 7, "1000"},
  {"0x1.387ffef9db22dp+13", 7, "9999.999"},
  {"0x1.387ffef9db22ep+13", 7, "10000"},
  {"0x1.869ffeb851eb8p+16", 7, "99999.99"},
  {"0x1.869ffeb851eb9p+16", 7, "100000"},
  {"0x1.e847fe6666666p+19", 7, "999999.9"},
  {"0x1.e847fe6666667p+19", 7, "1000000"},
  {"0x1.312cfefffffffp+23", 7, "9999999"},
  {"0x1.312cff0000000p+23", 7, "1e+7"},
  {"0x1.a36e2e8e94ffcp-14", 8, "9.9999999e-5"},
  {"0x1.a36e2e8e94ffdp-14", 8, "0.0001"},
  {"0x1.0624dd191d1fdp-10", 8, "0.00099999999"},
  {"0x1.0624dd191d1fep-10", 8, "0.001"},
  {"0x1.47ae145f6467dp-7", 8, "0.0099999999"},
  {"0x1.47ae145f6467ep-7", 8, "0.01"},
  {"0x1.999999773d81cp-4", 8, "0.099999999"},
  {"0x1.999999773d81dp-4", 8, "0.1"},
  {"0x1.ffffffd50ce23p-1", 8, "0.99999999"},
  {"0x1.ffffffd50ce24p-1", 8, "1"},
  {"0x1.3fffffe5280d6p+3", 8, "9.9999999"},
  {"0x1.3fffffe5280d7p+3", 8, "10"},
  {"0x1.8fffffde7210bp+6", 8, "99.999999"},
  {"0x1.8fffffde7210cp+6", 8, "100"},
  {"0x1.f3ffffd60e94ep+9", 8, "999.99999"},
  {"0x1.f3ffffd60e94fp+9", 8, "1000"},
  {"0x1.387fffe5c91d1p+13", 8, "9999.9999"},
  {"0x1.387fffe5c91d2p+13", 8, "10000"},
  {"0x1.869fffdf3b645p+16", 8, "99999.999"},
  {"0x1.869fffdf3b646p+16", 8, "100000"},
  {"0x1.e847ffd70a3d7p+19", 8, "999999.99"},
  {"0x1.e847ffd70a3d8p+19", 8, "1000000"},
  {"0x1.312cffe666666p+23", 8, "9999999.9"},
  {"0x1.312cffe666667p+23", 8, "10000000"},
  {"0x1.7d783fdffffffp+26", 8, "99999999"},
  {"0x1.7d783fe000000p+26", 8, "1e+8"},
  {"0x1.a36e2eae3f7a7p-14", 9, "9.99999999e-5"},
  {"0x1.a36e2eae3f7a8p-14", 9, "0.0001"},
  {"0x1.0624dd2ce7ac8p-10", 9, "0.000999999999"},
  {"0x1.0624dd2ce7ac9p-10", 9, "0.001"},
  {"0x1.47ae14782197bp-7", 9, "0.00999999999"},
  {"0x1.47ae14782197cp-7", 9, "0.01"},
  {"0x1.9999999629fd9p-4", 9, "0.0999999999"},
  {"0x1.9999999629fdap-4", 9, "0.1"},
  {"0x1.fffffffbb47d0p-1", 9, "0.999999999"},
  {"0x1.fffffffbb47d1p-1", 9, "1"},
  {"0x1.3ffffffd50ce2p+3", 9, "9.99999999"},
  {"0x1.3ffffffd50ce3p+3", 9, "10"},
  {"0x1.8ffffffca501ap+6", 9, "99.9999999"},
  {"0x1.8ffffffca501bp+6", 9, "100"},
  {"0x1.f3fffffbce421p+9", 9, "999.999999"},
  {"0x1.f3fffffbce422p+9", 9, "1000"},
  {"0x1.387ffffd60e94p+13", 9, "9999.99999"},
  {"0x1.387ffffd60e95p+13", 9, "10000"},
  {"0x1.869ffffcb923ap+16", 9, "99999.9999"},
  {"0x1.869ffffcb923bp+16", 9, "100000"},
  {"0x1.e847fffbe76c8p+19", 9, "999999.999"},
  {"0x1.e847fffbe76c9p+19", 9, "1000000"},
  {"0x1.312cfffd70a3dp+23", 9, "9999999.99"},
  {"0x1.312cfffd70a3ep+23", 9, "10000000"},
  {"0x1.7d783ffccccccp+26", 9, "99999999.9"},
  {"0x1.7d783ffcccccdp+26", 9, "100000000"},
  {"0x1.dcd64ffbfffffp+29", 9, "999999999"},
  {"0x1.dcd64ffc00000p+29", 9, "1e+9"},
  {"0x1.a36e2eb16a205p-14", 10, "9.999999999e-5"},
  {"0x1.a36e2eb16a206p-14", 10, "0.0001"},
  {"0x1.0624dd2ee2543p-10", 10, "0.0009999999999"},
  {"0x1.0624dd2ee2544p-10", 10, "0.001"},
  {"0x1.47ae147a9ae94p-7", 10, "0.009999999999"},
  {"0x1.47ae147a9ae95p-7", 10, "0.01"},
  {"0x1.9999999941a39p-4", 10, "0.09999999999"},
  {"0x1.9999999941a3ap-4", 10, "0.1"},
  {"0x1.ffffffff920c8p-1", 10, "0.9999999999"},
  {"0x1.ffffffff920c9p-1", 10, "1"},
  {"0x1.3fffffffbb47dp+3", 10, "9.999999999"},
  {"0x1.3fffffffbb47ep+3", 10, "10"},
  {"0x1.8fffffffaa19cp+6", 10, "99.99999999"},
  {"0x1.8fffffffaa19dp+6", 10, "100"},
  {"0x1.f3ffffff94a03p+9", 10, "999.9999999"},
  {"0x1.f3ffffff94a04p+9", 10, "1000"},
  {"0x1.387fffffbce42p+13", 10, "9999.999999"},
  {"0x1.387fffffbce43p+13", 10, "10000"},
  {"0x1.869fffffac1d2p+16", 10, "99999.99999"},
  {"0x1.869fffffac1d3p+16", 10, "100000"},
  {"0x1.e847ffff97247p+19", 10, "999999.9999"},
  {"0x1.e847ffff97248p+19", 10, "1000000"},
  {"0x1.312cffffbe76cp+23", 10, "9999999.999"},
  {"0x1.312cffffbe76dp+23", 10, "10000000"},
  {"0x1.7d783fffae147p+26", 10, "99999999.99"},
  {"0x1.7d783fffae148p+26", 10, "100000000"},
  {"0x1.dcd64fff99999p+29", 10, "999999999.9"},
  {"0x1.dcd64fff9999ap+29", 10, "1000000000"},
  {"0x1.2a05f1ffbffffp+33", 10, "9999999999"},
  {"0x1.2a05f1ffc0000p+33", 10, "1e+10"},
  {"0x1.a36e2eb1bb30fp-14", 11, "9.9999999999e-5"},
  {"0x1.a36e2eb1bb310p-14", 11, "0.0001"},
  {"0x1.0624dd2f14fe9p-10", 11, "0.00099999999999"},
  {"0x1.0624dd2f14feap-10", 11, "0.001"},
  {"0x1.47ae147ada3e3p-7", 11, "0.0099999999999"},
  {"0x1.47ae147ada3e4p-7", 11, "0.01"},
  {"0x1.9999999990cdcp-4", 11, "0.099999999999"},
  {"0x1.9999999990cddp-4", 11, "0.1"},
  {"0x1.fffffffff5014p-1", 11, "0.99999999999"},
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] of _