1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
979
980
981
982
983
984
985
986
987
988
989
990
991
992
993
994
995
996
997
998
999
1000
1001
1002
1003
1004
1005
1006
1007
1008
1009
1010
1011
1012
1013
1014
1015
1016
1017
1018
1019
1020
1021
1022
1023
1024
1025
1026
1027
1028
1029
1030
1031
1032
1033
1034
1035
1036
1037
1038
1039
1040
1041
1042
1043
1044
1045
1046
1047
1048
1049
1050
1051
1052
1053
1054
1055
1056
1057
1058
1059
1060
1061
1062
1063
1064
1065
1066
1067
1068
1069
1070
1071
1072
1073
1074
1075
1076
1077
1078
1079
1080
1081
1082
1083
1084
1085
1086
1087
1088
1089
1090
1091
1092
1093
1094
1095
1096
1097
1098
1099
1100
1101
1102
1103
1104
1105
1106
1107
1108
1109
1110
1111
1112
1113
1114
1115
1116
1117
1118
1119
1120
1121
1122
1123
1124
1125
1126
1127
1128
1129
1130
1131
1132
1133
1134
1135
1136
1137
1138
1139
1140
1141
1142
1143
1144
1145
1146
|
// Copyright (c) Microsoft Corporation.
// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
#ifndef DOUBLE_FROM_CHARS_TEST_CASES_HPP
#define DOUBLE_FROM_CHARS_TEST_CASES_HPP
#include <charconv>
#include <stddef.h>
#include <system_error>
using namespace std;
inline constexpr DoubleFromCharsTestCase double_from_chars_test_cases[] = {
{"1.000000000000a000", chars_format::hex, 18, errc{}, 0x1.000000000000ap0}, // exact
{"1.000000000000a001", chars_format::hex, 18, errc{}, 0x1.000000000000ap0}, // below midpoint, round down
{"1.000000000000a800", chars_format::hex, 18, errc{}, 0x1.000000000000ap0}, // midpoint, round down to even
{"1.000000000000a801", chars_format::hex, 18, errc{}, 0x1.000000000000bp0}, // above midpoint, round up
{"1.000000000000b000", chars_format::hex, 18, errc{}, 0x1.000000000000bp0}, // exact
{"1.000000000000b001", chars_format::hex, 18, errc{}, 0x1.000000000000bp0}, // below midpoint, round down
{"1.000000000000b800", chars_format::hex, 18, errc{}, 0x1.000000000000cp0}, // midpoint, round up to even
{"1.000000000000b801", chars_format::hex, 18, errc{}, 0x1.000000000000cp0}, // above midpoint, round up
{"1.00000000000020", chars_format::hex, 16, errc{}, 0x1.0000000000002p0}, // exact
{"1.00000000000021", chars_format::hex, 16, errc{}, 0x1.0000000000002p0}, // below midpoint, round down
{"1.00000000000028", chars_format::hex, 16, errc{}, 0x1.0000000000002p0}, // midpoint, round down to even
{"1.00000000000029", chars_format::hex, 16, errc{}, 0x1.0000000000003p0}, // above midpoint, round up
{"1.00000000000030", chars_format::hex, 16, errc{}, 0x1.0000000000003p0}, // exact
{"1.00000000000031", chars_format::hex, 16, errc{}, 0x1.0000000000003p0}, // below midpoint, round down
{"1.00000000000038", chars_format::hex, 16, errc{}, 0x1.0000000000004p0}, // midpoint, round up to even
{"1.00000000000039", chars_format::hex, 16, errc{}, 0x1.0000000000004p0}, // above midpoint, round up
{"1.00000000000000044408920985006261616945266723632812500000", chars_format::general, 58, errc{},
0x1.0000000000002p0}, // exact
{"1.00000000000000045796699765787707292474806308746337890625", chars_format::general, 58, errc{},
0x1.0000000000002p0}, // below midpoint, round down
{"1.00000000000000055511151231257827021181583404541015624999", chars_format::general, 58, errc{},
0x1.0000000000002p0}, // below midpoint, round down
{"1.00000000000000055511151231257827021181583404541015625000", chars_format::general, 58, errc{},
0x1.0000000000002p0}, // midpoint, round down to even
{"1.00000000000000055511151231257827021181583404541015625001", chars_format::general, 58, errc{},
0x1.0000000000003p0}, // above midpoint, round up
{"1.00000000000000056898930012039272696711122989654541015625", chars_format::general, 58, errc{},
0x1.0000000000003p0}, // above midpoint, round up
{"1.00000000000000066613381477509392425417900085449218750000", chars_format::general, 58, errc{},
0x1.0000000000003p0}, // exact
{"1.00000000000000068001160258290838100947439670562744140625", chars_format::general, 58, errc{},
0x1.0000000000003p0}, // below midpoint, round down
{"1.00000000000000077715611723760957829654216766357421874999", chars_format::general, 58, errc{},
0x1.0000000000003p0}, // below midpoint, round down
{"1.00000000000000077715611723760957829654216766357421875000", chars_format::general, 58, errc{},
0x1.0000000000004p0}, // midpoint, round up to even
{"1.00000000000000077715611723760957829654216766357421875001", chars_format::general, 58, errc{},
0x1.0000000000004p0}, // above midpoint, round up
{"1.00000000000000079103390504542403505183756351470947265625", chars_format::general, 58, errc{},
0x1.0000000000004p0}, // above midpoint, round up
// https://www.exploringbinary.com/nondeterministic-floating-point-conversions-in-java/
{"0.0000008p-1022", chars_format::hex, 15, errc{}, 0x0.0000008p-1022},
// VSO-838635 "<charconv>: from_chars() mishandles certain subnormals"
// These values change on half-ulp boundaries:
// 1 * 2^-1075 ~= 2.47e-324 (half-ulp between zero and min subnormal)
// 2 * 2^-1075 ~= 4.94e-324 (min subnormal)
// 3 * 2^-1075 ~= 7.41e-324 (half-ulp between min subnormal and next subnormal)
// 4 * 2^-1075 ~= 9.88e-324 (next subnormal)
{"1."
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
"1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111"
"1111111111111111111e-324",
chars_format::scientific, 1007, errc::result_out_of_range, 0x0.0000000000000p+0},
{"2."
"2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222"
"2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222"
"2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222"
"2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222"
"2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222"
"2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222"
"2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222"
"2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222"
"2222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222"
"2222222222222222222e-324",
chars_format::scientific, 1007, errc::result_out_of_range, 0x0.0000000000000p+0},
{"3."
"3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333"
"3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333"
"3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333"
"3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333"
"3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333"
"3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333"
"3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333"
"3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333"
"3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333"
"3333333333333333333e-324",
chars_format::scientific, 1007, errc{}, 0x0.0000000000001p-1022},
{"4."
"4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444"
"4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444"
"4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444"
"4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444"
"4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444"
"4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444"
"4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444"
"4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444"
"4444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444444"
"4444444444444444444e-324",
chars_format::scientific, 1007, errc{}, 0x0.0000000000001p-1022},
{"5."
"5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555"
"5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555"
"5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555"
"5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555"
"5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555"
"5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555"
"5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555"
"5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555"
"5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555"
"5555555555555555555e-324",
chars_format::scientific, 1007, errc{}, 0x0.0000000000001p-1022},
{"6."
"6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666"
"6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666"
"6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666"
"6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666"
"6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666"
"6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666"
"6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666"
"6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666"
"6666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666666"
"6666666666666666666e-324",
chars_format::scientific, 1007, errc{}, 0x0.0000000000001p-1022},
{"7."
"7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777"
"7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777"
"7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777"
"7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777"
"7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777"
"7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777"
"7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777"
"7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777"
"7777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777"
"7777777777777777777e-324",
chars_format::scientific, 1007, errc{}, 0x0.0000000000002p-1022},
{"8."
"8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888"
"8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888"
"8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888"
"8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888"
"8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888"
"8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888"
"8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888"
"8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888"
"8888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888"
"8888888888888888888e-324",
chars_format::scientific, 1007, errc{}, 0x0.0000000000002p-1022},
{"9."
"9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999"
"9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999"
"9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999"
"9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999"
"9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999"
"9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999"
"9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999"
"9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999"
"9999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999"
"9999999999999999999e-324",
chars_format::scientific, 1007, errc{}, 0x0.0000000000002p-1022},
// VSO-852024: Test cases for round-to-nearest, ties-to-even.
// Consider the values:
// A: 0x1.0000000000000p+0 == 1.0000000000000000000000000000000000000000000000000000
// X: (1 + 2^-53) * 2^0 == 1.00000000000000011102230246251565404236316680908203125
// B: 0x1.0000000000001p+0 == 1.0000000000000002220446049250313080847263336181640625
// X is equidistant from A and B. Because they're tied for being nearest, we need to round to even.
// That means rounding down to A, because A's least significant hexit 0 is even.
// However, values between X and B aren't tied - they're simply nearer to B, so they need to round up to B.
// We need to handle tricky cases like the digits of X, followed by a million 0 digits, followed by a 1 digit.
// Similarly:
// E: 0x1.ffffffffffffep+0 == 1.999999999999999555910790149937383830547332763671875
// Y: (1 + 1 - 3 * 2^-53) * 2^0 == 1.99999999999999966693309261245303787291049957275390625
// F: 0x1.fffffffffffffp+0 == 1.9999999999999997779553950749686919152736663818359375
// The hexit E is 14 and even, while F is 15 and odd.
// just below (0 + 2^-53) * 2^-1022: decremented last digit, then appended three 9 digits
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002470"
"3282292062327208828439643411068618252990130716238221279284125033775363510437593264991818081799618989828234772"
"2858865463328355177969898199387398005390939063150356595155702263922908583924491051844359318028499365361525003"
"1937045767824921936562366986365848075700158576926990370631192827955855133292783433840935197801553124659726357"
"9574622766465272827220056374006485499977096599470454020828166226237857393450736339007967761930577506740176324"
"6736009689513405355374585166611342237666786041621596804619144672918403005300575308490487653917113865916462395"
"2491262365388187963623937328042389101867234849766823508986338858792562830275599565752445550725518931369083625"
"4779186948667994968324049705821028513185451396213837722826145437693412532098591327667236328124999",
chars_format::fixed, 1080, errc::result_out_of_range, 0x0.0000000000000p+0},
// (0 + 2^-53) * 2^-1022 exactly
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002470"
"3282292062327208828439643411068618252990130716238221279284125033775363510437593264991818081799618989828234772"
"2858865463328355177969898199387398005390939063150356595155702263922908583924491051844359318028499365361525003"
"1937045767824921936562366986365848075700158576926990370631192827955855133292783433840935197801553124659726357"
"9574622766465272827220056374006485499977096599470454020828166226237857393450736339007967761930577506740176324"
"6736009689513405355374585166611342237666786041621596804619144672918403005300575308490487653917113865916462395"
"2491262365388187963623937328042389101867234849766823508986338858792562830275599565752445550725518931369083625"
"4779186948667994968324049705821028513185451396213837722826145437693412532098591327667236328125",
chars_format::fixed, 1077, errc::result_out_of_range, 0x0.0000000000000p+0},
// (0 + 2^-53) * 2^-1022 exactly, followed by a thousand 0 digits
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002470"
"3282292062327208828439643411068618252990130716238221279284125033775363510437593264991818081799618989828234772"
"2858865463328355177969898199387398005390939063150356595155702263922908583924491051844359318028499365361525003"
"1937045767824921936562366986365848075700158576926990370631192827955855133292783433840935197801553124659726357"
"9574622766465272827220056374006485499977096599470454020828166226237857393450736339007967761930577506740176324"
"6736009689513405355374585166611342237666786041621596804619144672918403005300575308490487653917113865916462395"
"2491262365388187963623937328042389101867234849766823508986338858792562830275599565752445550725518931369083625"
"4779186948667994968324049705821028513185451396213837722826145437693412532098591327667236328125000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000",
chars_format::fixed, 2077, errc::result_out_of_range, 0x0.0000000000000p+0},
// above (0 + 2^-53) * 2^-1022: appended a thousand 0 digits followed by a 1 digit
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002470"
"3282292062327208828439643411068618252990130716238221279284125033775363510437593264991818081799618989828234772"
"2858865463328355177969898199387398005390939063150356595155702263922908583924491051844359318028499365361525003"
"1937045767824921936562366986365848075700158576926990370631192827955855133292783433840935197801553124659726357"
"9574622766465272827220056374006485499977096599470454020828166226237857393450736339007967761930577506740176324"
"6736009689513405355374585166611342237666786041621596804619144672918403005300575308490487653917113865916462395"
"2491262365388187963623937328042389101867234849766823508986338858792562830275599565752445550725518931369083625"
"4779186948667994968324049705821028513185451396213837722826145437693412532098591327667236328125000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"00001",
chars_format::fixed, 2078, errc{}, 0x0.0000000000001p-1022},
// above (0 + 2^-53) * 2^-1022: appended a 1 digit
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002470"
"3282292062327208828439643411068618252990130716238221279284125033775363510437593264991818081799618989828234772"
"2858865463328355177969898199387398005390939063150356595155702263922908583924491051844359318028499365361525003"
"1937045767824921936562366986365848075700158576926990370631192827955855133292783433840935197801553124659726357"
"9574622766465272827220056374006485499977096599470454020828166226237857393450736339007967761930577506740176324"
"6736009689513405355374585166611342237666786041621596804619144672918403005300575308490487653917113865916462395"
"2491262365388187963623937328042389101867234849766823508986338858792562830275599565752445550725518931369083625"
"47791869486679949683240497058210285131854513962138377228261454376934125320985913276672363281251",
chars_format::fixed, 1078, errc{}, 0x0.0000000000001p-1022},
// above (0 + 2^-53) * 2^-1022: incremented last digit
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000002470"
"3282292062327208828439643411068618252990130716238221279284125033775363510437593264991818081799618989828234772"
"2858865463328355177969898199387398005390939063150356595155702263922908583924491051844359318028499365361525003"
"1937045767824921936562366986365848075700158576926990370631192827955855133292783433840935197801553124659726357"
"9574622766465272827220056374006485499977096599470454020828166226237857393450736339007967761930577506740176324"
"6736009689513405355374585166611342237666786041621596804619144672918403005300575308490487653917113865916462395"
"2491262365388187963623937328042389101867234849766823508986338858792562830275599565752445550725518931369083625"
"4779186948667994968324049705821028513185451396213837722826145437693412532098591327667236328126",
chars_format::fixed, 1077, errc{}, 0x0.0000000000001p-1022},
// just below (0 + 1 - 3 * 2^-53) * 2^-1022: decremented last digit, then appended three 9 digits
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072006419"
"9176395546258779936602667813027328296362349540005779643539444484102225369938322261431279727704724131030539099"
"2976863718870946851468024222968583977359185141028540361975476844303195813273469348201130421165308554532083149"
"3676067608324920106709384047261543474082573017216837765643921010648239116172158852475760231303527077156200284"
"1775343298712758123539074213191978739083589771549597066404661620550578925994422322342444472859570416955675758"
"5423752417124134805999073137808018133811049489046686648944255834488901008259721496147104204399198556535697531"
"0055231935448663898095485089604066035268185282450207861510244351362091237759797852153577038777504570568436147"
"5530270683064113556748943345076587312006145811358486831521563686919762403704226016998291015624999",
chars_format::fixed, 1080, errc{}, 0x0.ffffffffffffep-1022},
// (0 + 1 - 3 * 2^-53) * 2^-1022 exactly
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072006419"
"9176395546258779936602667813027328296362349540005779643539444484102225369938322261431279727704724131030539099"
"2976863718870946851468024222968583977359185141028540361975476844303195813273469348201130421165308554532083149"
"3676067608324920106709384047261543474082573017216837765643921010648239116172158852475760231303527077156200284"
"1775343298712758123539074213191978739083589771549597066404661620550578925994422322342444472859570416955675758"
"5423752417124134805999073137808018133811049489046686648944255834488901008259721496147104204399198556535697531"
"0055231935448663898095485089604066035268185282450207861510244351362091237759797852153577038777504570568436147"
"5530270683064113556748943345076587312006145811358486831521563686919762403704226016998291015625",
chars_format::fixed, 1077, errc{}, 0x0.ffffffffffffep-1022},
// (0 + 1 - 3 * 2^-53) * 2^-1022 exactly, followed by a thousand 0 digits
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072006419"
"9176395546258779936602667813027328296362349540005779643539444484102225369938322261431279727704724131030539099"
"2976863718870946851468024222968583977359185141028540361975476844303195813273469348201130421165308554532083149"
"3676067608324920106709384047261543474082573017216837765643921010648239116172158852475760231303527077156200284"
"1775343298712758123539074213191978739083589771549597066404661620550578925994422322342444472859570416955675758"
"5423752417124134805999073137808018133811049489046686648944255834488901008259721496147104204399198556535697531"
"0055231935448663898095485089604066035268185282450207861510244351362091237759797852153577038777504570568436147"
"5530270683064113556748943345076587312006145811358486831521563686919762403704226016998291015625000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000",
chars_format::fixed, 2077, errc{}, 0x0.ffffffffffffep-1022},
// above (0 + 1 - 3 * 2^-53) * 2^-1022: appended a thousand 0 digits followed by a 1 digit
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072006419"
"9176395546258779936602667813027328296362349540005779643539444484102225369938322261431279727704724131030539099"
"2976863718870946851468024222968583977359185141028540361975476844303195813273469348201130421165308554532083149"
"3676067608324920106709384047261543474082573017216837765643921010648239116172158852475760231303527077156200284"
"1775343298712758123539074213191978739083589771549597066404661620550578925994422322342444472859570416955675758"
"5423752417124134805999073137808018133811049489046686648944255834488901008259721496147104204399198556535697531"
"0055231935448663898095485089604066035268185282450207861510244351362091237759797852153577038777504570568436147"
"5530270683064113556748943345076587312006145811358486831521563686919762403704226016998291015625000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"00001",
chars_format::fixed, 2078, errc{}, 0x0.fffffffffffffp-1022},
// above (0 + 1 - 3 * 2^-53) * 2^-1022: appended a 1 digit
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072006419"
"9176395546258779936602667813027328296362349540005779643539444484102225369938322261431279727704724131030539099"
"2976863718870946851468024222968583977359185141028540361975476844303195813273469348201130421165308554532083149"
"3676067608324920106709384047261543474082573017216837765643921010648239116172158852475760231303527077156200284"
"1775343298712758123539074213191978739083589771549597066404661620550578925994422322342444472859570416955675758"
"5423752417124134805999073137808018133811049489046686648944255834488901008259721496147104204399198556535697531"
"0055231935448663898095485089604066035268185282450207861510244351362091237759797852153577038777504570568436147"
"55302706830641135567489433450765873120061458113584868315215636869197624037042260169982910156251",
chars_format::fixed, 1078, errc{}, 0x0.fffffffffffffp-1022},
// above (0 + 1 - 3 * 2^-53) * 2^-1022: incremented last digit
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072006419"
"9176395546258779936602667813027328296362349540005779643539444484102225369938322261431279727704724131030539099"
"2976863718870946851468024222968583977359185141028540361975476844303195813273469348201130421165308554532083149"
"3676067608324920106709384047261543474082573017216837765643921010648239116172158852475760231303527077156200284"
"1775343298712758123539074213191978739083589771549597066404661620550578925994422322342444472859570416955675758"
"5423752417124134805999073137808018133811049489046686648944255834488901008259721496147104204399198556535697531"
"0055231935448663898095485089604066035268185282450207861510244351362091237759797852153577038777504570568436147"
"5530270683064113556748943345076587312006145811358486831521563686919762403704226016998291015626",
chars_format::fixed, 1077, errc{}, 0x0.fffffffffffffp-1022},
// just below (1 + 2^-53) * 2^-1022: decremented last digit, then appended three 9 digits
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072016301"
"2305563795567615250361241457301801308322872404958664760675944619203679411688695321398552054903200090343478188"
"4412325572184367563347617020518175998922941393629966742598285899994830148971433555578567693279306015978183162"
"1424250679624607852958851992724935776883207324924799248168692322471659649343292587839501022509739575795105716"
"0073834364573849432419299709217920738991976169431413149717326525502008499797367678374315520581880443916381057"
"2367791175177756227497413804253387084478193655533073867420834526162513029462022730109054820067654020201547112"
"0020281397001415752591234401773622442737124681517501897455599786532342558862196115163359241679580296044770649"
"4647018477736093430045142168360701364747951396213837722826145437693412532098591327667236328124999",
chars_format::fixed, 1080, errc{}, 0x1.0000000000000p-1022},
// (1 + 2^-53) * 2^-1022 exactly
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072016301"
"2305563795567615250361241457301801308322872404958664760675944619203679411688695321398552054903200090343478188"
"4412325572184367563347617020518175998922941393629966742598285899994830148971433555578567693279306015978183162"
"1424250679624607852958851992724935776883207324924799248168692322471659649343292587839501022509739575795105716"
"0073834364573849432419299709217920738991976169431413149717326525502008499797367678374315520581880443916381057"
"2367791175177756227497413804253387084478193655533073867420834526162513029462022730109054820067654020201547112"
"0020281397001415752591234401773622442737124681517501897455599786532342558862196115163359241679580296044770649"
"4647018477736093430045142168360701364747951396213837722826145437693412532098591327667236328125",
chars_format::fixed, 1077, errc{}, 0x1.0000000000000p-1022},
// (1 + 2^-53) * 2^-1022 exactly, followed by a thousand 0 digits
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072016301"
"2305563795567615250361241457301801308322872404958664760675944619203679411688695321398552054903200090343478188"
"4412325572184367563347617020518175998922941393629966742598285899994830148971433555578567693279306015978183162"
"1424250679624607852958851992724935776883207324924799248168692322471659649343292587839501022509739575795105716"
"0073834364573849432419299709217920738991976169431413149717326525502008499797367678374315520581880443916381057"
"2367791175177756227497413804253387084478193655533073867420834526162513029462022730109054820067654020201547112"
"0020281397001415752591234401773622442737124681517501897455599786532342558862196115163359241679580296044770649"
"4647018477736093430045142168360701364747951396213837722826145437693412532098591327667236328125000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000",
chars_format::fixed, 2077, errc{}, 0x1.0000000000000p-1022},
// above (1 + 2^-53) * 2^-1022: appended a thousand 0 digits followed by a 1 digit
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072016301"
"2305563795567615250361241457301801308322872404958664760675944619203679411688695321398552054903200090343478188"
"4412325572184367563347617020518175998922941393629966742598285899994830148971433555578567693279306015978183162"
"1424250679624607852958851992724935776883207324924799248168692322471659649343292587839501022509739575795105716"
"0073834364573849432419299709217920738991976169431413149717326525502008499797367678374315520581880443916381057"
"2367791175177756227497413804253387084478193655533073867420834526162513029462022730109054820067654020201547112"
"0020281397001415752591234401773622442737124681517501897455599786532342558862196115163359241679580296044770649"
"4647018477736093430045142168360701364747951396213837722826145437693412532098591327667236328125000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"00001",
chars_format::fixed, 2078, errc{}, 0x1.0000000000001p-1022},
// above (1 + 2^-53) * 2^-1022: appended a 1 digit
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072016301"
"2305563795567615250361241457301801308322872404958664760675944619203679411688695321398552054903200090343478188"
"4412325572184367563347617020518175998922941393629966742598285899994830148971433555578567693279306015978183162"
"1424250679624607852958851992724935776883207324924799248168692322471659649343292587839501022509739575795105716"
"0073834364573849432419299709217920738991976169431413149717326525502008499797367678374315520581880443916381057"
"2367791175177756227497413804253387084478193655533073867420834526162513029462022730109054820067654020201547112"
"0020281397001415752591234401773622442737124681517501897455599786532342558862196115163359241679580296044770649"
"46470184777360934300451421683607013647479513962138377228261454376934125320985913276672363281251",
chars_format::fixed, 1078, errc{}, 0x1.0000000000001p-1022},
// above (1 + 2^-53) * 2^-1022: incremented last digit
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000022250738585072016301"
"2305563795567615250361241457301801308322872404958664760675944619203679411688695321398552054903200090343478188"
"4412325572184367563347617020518175998922941393629966742598285899994830148971433555578567693279306015978183162"
"1424250679624607852958851992724935776883207324924799248168692322471659649343292587839501022509739575795105716"
"0073834364573849432419299709217920738991976169431413149717326525502008499797367678374315520581880443916381057"
"2367791175177756227497413804253387084478193655533073867420834526162513029462022730109054820067654020201547112"
"0020281397001415752591234401773622442737124681517501897455599786532342558862196115163359241679580296044770649"
"4647018477736093430045142168360701364747951396213837722826145437693412532098591327667236328126",
chars_format::fixed, 1077, errc{}, 0x1.0000000000001p-1022},
// just below (1 + 1 - 3 * 2^-53) * 2^-1022: decremented last digit, then appended three 9 digits
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000044501477170144020250"
"8199667279499186358524265859260511351695091228726223124931264069530541271189424317838013700808305231545782515"
"4530323827726959236845743044099361970891187471508150509418060480375117378320411851935338796416115205148741308"
"3163272520124606023105869053620631175265621765214646643181420505164043632222668006474326056011713528291579642"
"2274554896821334728738317548403413978098469341510556195293821919814730032341053661708792231510873354131880491"
"1055533902788485678121901775450062980622457102958163711745945687733011032421168917765671370549738710820782247"
"7584250967061891687062782163335299376138075114200886249979505279101870966346394401564490729731565935244123171"
"5398102212132212018470035807616260163568645811358486831521563686919762403704226016998291015624999",
chars_format::fixed, 1080, errc{}, 0x1.ffffffffffffep-1022},
// (1 + 1 - 3 * 2^-53) * 2^-1022 exactly
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000044501477170144020250"
"8199667279499186358524265859260511351695091228726223124931264069530541271189424317838013700808305231545782515"
"4530323827726959236845743044099361970891187471508150509418060480375117378320411851935338796416115205148741308"
"3163272520124606023105869053620631175265621765214646643181420505164043632222668006474326056011713528291579642"
"2274554896821334728738317548403413978098469341510556195293821919814730032341053661708792231510873354131880491"
"1055533902788485678121901775450062980622457102958163711745945687733011032421168917765671370549738710820782247"
"7584250967061891687062782163335299376138075114200886249979505279101870966346394401564490729731565935244123171"
"5398102212132212018470035807616260163568645811358486831521563686919762403704226016998291015625",
chars_format::fixed, 1077, errc{}, 0x1.ffffffffffffep-1022},
// (1 + 1 - 3 * 2^-53) * 2^-1022 exactly, followed by a thousand 0 digits
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000044501477170144020250"
"8199667279499186358524265859260511351695091228726223124931264069530541271189424317838013700808305231545782515"
"4530323827726959236845743044099361970891187471508150509418060480375117378320411851935338796416115205148741308"
"3163272520124606023105869053620631175265621765214646643181420505164043632222668006474326056011713528291579642"
"2274554896821334728738317548403413978098469341510556195293821919814730032341053661708792231510873354131880491"
"1055533902788485678121901775450062980622457102958163711745945687733011032421168917765671370549738710820782247"
"7584250967061891687062782163335299376138075114200886249979505279101870966346394401564490729731565935244123171"
"5398102212132212018470035807616260163568645811358486831521563686919762403704226016998291015625000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000",
chars_format::fixed, 2077, errc{}, 0x1.ffffffffffffep-1022},
// above (1 + 1 - 3 * 2^-53) * 2^-1022: appended a thousand 0 digits followed by a 1 digit
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000044501477170144020250"
"8199667279499186358524265859260511351695091228726223124931264069530541271189424317838013700808305231545782515"
"4530323827726959236845743044099361970891187471508150509418060480375117378320411851935338796416115205148741308"
"3163272520124606023105869053620631175265621765214646643181420505164043632222668006474326056011713528291579642"
"2274554896821334728738317548403413978098469341510556195293821919814730032341053661708792231510873354131880491"
"1055533902788485678121901775450062980622457102958163711745945687733011032421168917765671370549738710820782247"
"7584250967061891687062782163335299376138075114200886249979505279101870966346394401564490729731565935244123171"
"5398102212132212018470035807616260163568645811358486831521563686919762403704226016998291015625000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"00001",
chars_format::fixed, 2078, errc{}, 0x1.fffffffffffffp-1022},
// above (1 + 1 - 3 * 2^-53) * 2^-1022: appended a 1 digit
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000044501477170144020250"
"8199667279499186358524265859260511351695091228726223124931264069530541271189424317838013700808305231545782515"
"4530323827726959236845743044099361970891187471508150509418060480375117378320411851935338796416115205148741308"
"3163272520124606023105869053620631175265621765214646643181420505164043632222668006474326056011713528291579642"
"2274554896821334728738317548403413978098469341510556195293821919814730032341053661708792231510873354131880491"
"1055533902788485678121901775450062980622457102958163711745945687733011032421168917765671370549738710820782247"
"7584250967061891687062782163335299376138075114200886249979505279101870966346394401564490729731565935244123171"
"53981022121322120184700358076162601635686458113584868315215636869197624037042260169982910156251",
chars_format::fixed, 1078, errc{}, 0x1.fffffffffffffp-1022},
// above (1 + 1 - 3 * 2^-53) * 2^-1022: incremented last digit
{"0."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000044501477170144020250"
"8199667279499186358524265859260511351695091228726223124931264069530541271189424317838013700808305231545782515"
"4530323827726959236845743044099361970891187471508150509418060480375117378320411851935338796416115205148741308"
"3163272520124606023105869053620631175265621765214646643181420505164043632222668006474326056011713528291579642"
"2274554896821334728738317548403413978098469341510556195293821919814730032341053661708792231510873354131880491"
"1055533902788485678121901775450062980622457102958163711745945687733011032421168917765671370549738710820782247"
"7584250967061891687062782163335299376138075114200886249979505279101870966346394401564490729731565935244123171"
"5398102212132212018470035807616260163568645811358486831521563686919762403704226016998291015626",
chars_format::fixed, 1077, errc{}, 0x1.fffffffffffffp-1022},
// just below (1 + 2^-53) * 2^-33: decremented last digit, then appended three 9 digits
{"0.00000000011641532182693482737782207114105741986576081359316958696581423282623291015624999", chars_format::fixed,
91, errc{}, 0x1.0000000000000p-33},
// (1 + 2^-53) * 2^-33 exactly
{"0.00000000011641532182693482737782207114105741986576081359316958696581423282623291015625", chars_format::fixed,
88, errc{}, 0x1.0000000000000p-33},
// (1 + 2^-53) * 2^-33 exactly, followed by a thousand 0 digits
{"0."
"0000000001164153218269348273778220711410574198657608135931695869658142328262329101562500000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
chars_format::fixed, 1088, errc{}, 0x1.0000000000000p-33},
// above (1 + 2^-53) * 2^-33: appended a thousand 0 digits followed by a 1 digit
{"0."
"0000000001164153218269348273778220711410574198657608135931695869658142328262329101562500000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
chars_format::fixed, 1089, errc{}, 0x1.0000000000001p-33},
// above (1 + 2^-53) * 2^-33: appended a 1 digit
{"0.000000000116415321826934827377822071141057419865760813593169586965814232826232910156251", chars_format::fixed,
89, errc{}, 0x1.0000000000001p-33},
// above (1 + 2^-53) * 2^-33: incremented last digit
{"0.00000000011641532182693482737782207114105741986576081359316958696581423282623291015626", chars_format::fixed,
88, errc{}, 0x1.0000000000001p-33},
// just below (1 + 1 - 3 * 2^-53) * 2^-33: decremented last digit, then appended three 9 digits
{"0.00000000023283064365386959013215878657682774040271755922049123910255730152130126953124999", chars_format::fixed,
91, errc{}, 0x1.ffffffffffffep-33},
// (1 + 1 - 3 * 2^-53) * 2^-33 exactly
{"0.00000000023283064365386959013215878657682774040271755922049123910255730152130126953125", chars_format::fixed,
88, errc{}, 0x1.ffffffffffffep-33},
// (1 + 1 - 3 * 2^-53) * 2^-33 exactly, followed by a thousand 0 digits
{"0."
"0000000002328306436538695901321587865768277404027175592204912391025573015213012695312500000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000",
chars_format::fixed, 1088, errc{}, 0x1.ffffffffffffep-33},
// above (1 + 1 - 3 * 2^-53) * 2^-33: appended a thousand 0 digits followed by a 1 digit
{"0."
"0000000002328306436538695901321587865768277404027175592204912391025573015213012695312500000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001",
chars_format::fixed, 1089, errc{}, 0x1.fffffffffffffp-33},
// above (1 + 1 - 3 * 2^-53) * 2^-33: appended a 1 digit
{"0.000000000232830643653869590132158786576827740402717559220491239102557301521301269531251", chars_format::fixed,
89, errc{}, 0x1.fffffffffffffp-33},
// above (1 + 1 - 3 * 2^-53) * 2^-33: incremented last digit
{"0.00000000023283064365386959013215878657682774040271755922049123910255730152130126953126", chars_format::fixed,
88, errc{}, 0x1.fffffffffffffp-33},
// just below (1 + 2^-53) * 2^0: decremented last digit, then appended three 9 digits
{"1.00000000000000011102230246251565404236316680908203124999", chars_format::fixed, 58, errc{},
0x1.0000000000000p+0},
// (1 + 2^-53) * 2^0 exactly
{"1.00000000000000011102230246251565404236316680908203125", chars_format::fixed, 55, errc{}, 0x1.0000000000000p+0},
// (1 + 2^-53) * 2^0 exactly, followed by a thousand 0 digits
{"1."
"0000000000000001110223024625156540423631668090820312500000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000",
chars_format::fixed, 1055, errc{}, 0x1.0000000000000p+0},
// above (1 + 2^-53) * 2^0: appended a thousand 0 digits followed by a 1 digit
{"1."
"0000000000000001110223024625156540423631668090820312500000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000001",
chars_format::fixed, 1056, errc{}, 0x1.0000000000001p+0},
// above (1 + 2^-53) * 2^0: appended a 1 digit
{"1.000000000000000111022302462515654042363166809082031251", chars_format::fixed, 56, errc{}, 0x1.0000000000001p+0},
// above (1 + 2^-53) * 2^0: incremented last digit
{"1.00000000000000011102230246251565404236316680908203126", chars_format::fixed, 55, errc{}, 0x1.0000000000001p+0},
// just below (1 + 1 - 3 * 2^-53) * 2^0: decremented last digit, then appended three 9 digits
{"1.99999999999999966693309261245303787291049957275390624999", chars_format::fixed, 58, errc{},
0x1.ffffffffffffep+0},
// (1 + 1 - 3 * 2^-53) * 2^0 exactly
{"1.99999999999999966693309261245303787291049957275390625", chars_format::fixed, 55, errc{}, 0x1.ffffffffffffep+0},
// (1 + 1 - 3 * 2^-53) * 2^0 exactly, followed by a thousand 0 digits
{"1."
"9999999999999996669330926124530378729104995727539062500000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000000000000000000000000000000000000",
chars_format::fixed, 1055, errc{}, 0x1.ffffffffffffep+0},
// above (1 + 1 - 3 * 2^-53) * 2^0: appended a thousand 0 digits followed by a 1 digit
{"1."
"9999999999999996669330926124530378729104995727539062500000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000001",
chars_format::fixed, 1056, errc{}, 0x1.fffffffffffffp+0},
// above (1 + 1 - 3 * 2^-53) * 2^0: appended a 1 digit
{"1.999999999999999666933092612453037872910499572753906251", chars_format::fixed, 56, errc{}, 0x1.fffffffffffffp+0},
// above (1 + 1 - 3 * 2^-53) * 2^0: incremented last digit
{"1.99999999999999966693309261245303787291049957275390626", chars_format::fixed, 55, errc{}, 0x1.fffffffffffffp+0},
// just below (1 + 2^-53) * 2^33: decremented last digit, then appended three 9 digits
{"8589934592.00000095367431640624999", chars_format::fixed, 34, errc{}, 0x1.0000000000000p+33},
// (1 + 2^-53) * 2^33 exactly
{"8589934592.00000095367431640625", chars_format::fixed, 31, errc{}, 0x1.0000000000000p+33},
// (1 + 2^-53) * 2^33 exactly, followed by a thousand 0 digits
{"8589934592."
"0000009536743164062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000",
chars_format::fixed, 1031, errc{}, 0x1.0000000000000p+33},
// above (1 + 2^-53) * 2^33: appended a thousand 0 digits followed by a 1 digit
{"8589934592."
"0000009536743164062500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000001",
chars_format::fixed, 1032, errc{}, 0x1.0000000000001p+33},
// above (1 + 2^-53) * 2^33: appended a 1 digit
{"8589934592.000000953674316406251", chars_format::fixed, 32, errc{}, 0x1.0000000000001p+33},
// above (1 + 2^-53) * 2^33: incremented last digit
{"8589934592.00000095367431640626", chars_format::fixed, 31, errc{}, 0x1.0000000000001p+33},
// just below (1 + 1 - 3 * 2^-53) * 2^33: decremented last digit, then appended three 9 digits
{"17179869183.99999713897705078124999", chars_format::fixed, 35, errc{}, 0x1.ffffffffffffep+33},
// (1 + 1 - 3 * 2^-53) * 2^33 exactly
{"17179869183.99999713897705078125", chars_format::fixed, 32, errc{}, 0x1.ffffffffffffep+33},
// (1 + 1 - 3 * 2^-53) * 2^33 exactly, followed by a thousand 0 digits
{"17179869183."
"9999971389770507812500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"000000000000000000000000000000000000000",
chars_format::fixed, 1032, errc{}, 0x1.ffffffffffffep+33},
// above (1 + 1 - 3 * 2^-53) * 2^33: appended a thousand 0 digits followed by a 1 digit
{"17179869183."
"9999971389770507812500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000001",
chars_format::fixed, 1033, errc{}, 0x1.fffffffffffffp+33},
// above (1 + 1 - 3 * 2^-53) * 2^33: appended a 1 digit
{"17179869183.999997138977050781251", chars_format::fixed, 33, errc{}, 0x1.fffffffffffffp+33},
// above (1 + 1 - 3 * 2^-53) * 2^33: incremented last digit
{"17179869183.99999713897705078126", chars_format::fixed, 32, errc{}, 0x1.fffffffffffffp+33},
// just below (1 + 2^-53) * 2^77: decremented last digit, then appended three 9 digits
{"151115727451828663615487.999", chars_format::fixed, 28, errc{}, 0x1.0000000000000p+77},
// (1 + 2^-53) * 2^77 exactly
{"151115727451828663615488", chars_format::fixed, 24, errc{}, 0x1.0000000000000p+77},
// (1 + 2^-53) * 2^77 exactly, followed by a thousand 0 digits
{"151115727451828663615488."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000",
chars_format::fixed, 1025, errc{}, 0x1.0000000000000p+77},
// above (1 + 2^-53) * 2^77: appended a thousand 0 digits followed by a 1 digit
{"151115727451828663615488."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"00000000000000000001",
chars_format::fixed, 1026, errc{}, 0x1.0000000000001p+77},
// above (1 + 2^-53) * 2^77: appended a 1 digit
{"151115727451828663615488.1", chars_format::fixed, 26, errc{}, 0x1.0000000000001p+77},
// above (1 + 2^-53) * 2^77: incremented last digit
{"151115727451828663615489", chars_format::fixed, 24, errc{}, 0x1.0000000000001p+77},
// just below (1 + 1 - 3 * 2^-53) * 2^77: decremented last digit, then appended three 9 digits
{"302231454903657243344895.999", chars_format::fixed, 28, errc{}, 0x1.ffffffffffffep+77},
// (1 + 1 - 3 * 2^-53) * 2^77 exactly
{"302231454903657243344896", chars_format::fixed, 24, errc{}, 0x1.ffffffffffffep+77},
// (1 + 1 - 3 * 2^-53) * 2^77 exactly, followed by a thousand 0 digits
{"302231454903657243344896."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000",
chars_format::fixed, 1025, errc{}, 0x1.ffffffffffffep+77},
// above (1 + 1 - 3 * 2^-53) * 2^77: appended a thousand 0 digits followed by a 1 digit
{"302231454903657243344896."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"00000000000000000001",
chars_format::fixed, 1026, errc{}, 0x1.fffffffffffffp+77},
// above (1 + 1 - 3 * 2^-53) * 2^77: appended a 1 digit
{"302231454903657243344896.1", chars_format::fixed, 26, errc{}, 0x1.fffffffffffffp+77},
// above (1 + 1 - 3 * 2^-53) * 2^77: incremented last digit
{"302231454903657243344897", chars_format::fixed, 24, errc{}, 0x1.fffffffffffffp+77},
// just below (1 + 2^-53) * 2^1023: decremented last digit, then appended three 9 digits
{"8988465674311580536566680721305029496276241413130815897397134275615404541548669375241369800602409693534988440"
"3114202125541629105369684531108613657287705365884742938136589844238179474556051429647415148697857438797685859"
"063890851407391008830874765563025951597582513936655578157348020066364210154316532161708031.999",
chars_format::fixed, 312, errc{}, 0x1.0000000000000p+1023},
// (1 + 2^-53) * 2^1023 exactly
{"8988465674311580536566680721305029496276241413130815897397134275615404541548669375241369800602409693534988440"
"3114202125541629105369684531108613657287705365884742938136589844238179474556051429647415148697857438797685859"
"063890851407391008830874765563025951597582513936655578157348020066364210154316532161708032",
chars_format::fixed, 308, errc{}, 0x1.0000000000000p+1023},
// (1 + 2^-53) * 2^1023 exactly, followed by a thousand 0 digits
{"8988465674311580536566680721305029496276241413130815897397134275615404541548669375241369800602409693534988440"
"3114202125541629105369684531108613657287705365884742938136589844238179474556051429647415148697857438797685859"
"063890851407391008830874765563025951597582513936655578157348020066364210154316532161708032."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000",
chars_format::fixed, 1309, errc{}, 0x1.0000000000000p+1023},
// above (1 + 2^-53) * 2^1023: appended a thousand 0 digits followed by a 1 digit
{"8988465674311580536566680721305029496276241413130815897397134275615404541548669375241369800602409693534988440"
"3114202125541629105369684531108613657287705365884742938136589844238179474556051429647415148697857438797685859"
"063890851407391008830874765563025951597582513936655578157348020066364210154316532161708032."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"00000000000000000001",
chars_format::fixed, 1310, errc{}, 0x1.0000000000001p+1023},
// above (1 + 2^-53) * 2^1023: appended a 1 digit
{"8988465674311580536566680721305029496276241413130815897397134275615404541548669375241369800602409693534988440"
"3114202125541629105369684531108613657287705365884742938136589844238179474556051429647415148697857438797685859"
"063890851407391008830874765563025951597582513936655578157348020066364210154316532161708032.1",
chars_format::fixed, 310, errc{}, 0x1.0000000000001p+1023},
// above (1 + 2^-53) * 2^1023: incremented last digit
{"8988465674311580536566680721305029496276241413130815897397134275615404541548669375241369800602409693534988440"
"3114202125541629105369684531108613657287705365884742938136589844238179474556051429647415148697857438797685859"
"063890851407391008830874765563025951597582513936655578157348020066364210154316532161708033",
chars_format::fixed, 308, errc{}, 0x1.0000000000001p+1023},
// just below (1 + 1 - 3 * 2^-53) * 2^1023: decremented last digit, then appended three 9 digits
{"1797693134862315608353258760581052985162070023416521662616611746258695532672923265745300992879465492467506314"
"9033587701752208710592698796290627760473556921329019091915239418047621712533496094635638726128664019802903779"
"9514183602981511756283727771403830521483963923935633133642802139091669457927874464075218943.999",
chars_format::fixed, 313, errc{}, 0x1.ffffffffffffep+1023},
// (1 + 1 - 3 * 2^-53) * 2^1023 exactly
{"1797693134862315608353258760581052985162070023416521662616611746258695532672923265745300992879465492467506314"
"9033587701752208710592698796290627760473556921329019091915239418047621712533496094635638726128664019802903779"
"9514183602981511756283727771403830521483963923935633133642802139091669457927874464075218944",
chars_format::fixed, 309, errc{}, 0x1.ffffffffffffep+1023},
// (1 + 1 - 3 * 2^-53) * 2^1023 exactly, followed by a thousand 0 digits
{"1797693134862315608353258760581052985162070023416521662616611746258695532672923265745300992879465492467506314"
"9033587701752208710592698796290627760473556921329019091915239418047621712533496094635638726128664019802903779"
"9514183602981511756283727771403830521483963923935633133642802139091669457927874464075218944."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000",
chars_format::fixed, 1310, errc{}, 0x1.ffffffffffffep+1023},
// above (1 + 1 - 3 * 2^-53) * 2^1023: appended a thousand 0 digits followed by a 1 digit
{"1797693134862315608353258760581052985162070023416521662616611746258695532672923265745300992879465492467506314"
"9033587701752208710592698796290627760473556921329019091915239418047621712533496094635638726128664019802903779"
"9514183602981511756283727771403830521483963923935633133642802139091669457927874464075218944."
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"00000000000000000001",
chars_format::fixed, 1311, errc{}, 0x1.fffffffffffffp+1023},
// above (1 + 1 - 3 * 2^-53) * 2^1023: appended a 1 digit
{"1797693134862315608353258760581052985162070023416521662616611746258695532672923265745300992879465492467506314"
"9033587701752208710592698796290627760473556921329019091915239418047621712533496094635638726128664019802903779"
"9514183602981511756283727771403830521483963923935633133642802139091669457927874464075218944.1",
chars_format::fixed, 311, errc{}, 0x1.fffffffffffffp+1023},
// above (1 + 1 - 3 * 2^-53) * 2^1023: incremented last digit
{"1797693134862315608353258760581052985162070023416521662616611746258695532672923265745300992879465492467506314"
"9033587701752208710592698796290627760473556921329019091915239418047621712533496094635638726128664019802903779"
"9514183602981511756283727771403830521483963923935633133642802139091669457927874464075218945",
chars_format::fixed, 309, errc{}, 0x1.fffffffffffffp+1023},
// VSO-852024 also affected hexfloats.
{"0.00000000000008p-1022", chars_format::hex, 22, errc::result_out_of_range, 0x0.0000000000000p+0},
{"0."
"0000000000000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000001p-1022",
chars_format::hex, 1023, errc{}, 0x0.0000000000001p-1022},
{"0.ffffffffffffe8p-1022", chars_format::hex, 22, errc{}, 0x0.ffffffffffffep-1022},
{"0."
"ffffffffffffe800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000001p-1022",
chars_format::hex, 1023, errc{}, 0x0.fffffffffffffp-1022},
{"1.00000000000008p+0", chars_format::hex, 19, errc{}, 0x1.0000000000000p+0},
{"1."
"0000000000000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000001p+0",
chars_format::hex, 1020, errc{}, 0x1.0000000000001p+0},
{"1.ffffffffffffe8p+0", chars_format::hex, 19, errc{}, 0x1.ffffffffffffep+0},
{"1."
"ffffffffffffe800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000001p+0",
chars_format::hex, 1020, errc{}, 0x1.fffffffffffffp+0},
{"1.00000000000008p+1023", chars_format::hex, 22, errc{}, 0x1.0000000000000p+1023},
{"1."
"0000000000000800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000001p+1023",
chars_format::hex, 1023, errc{}, 0x1.0000000000001p+1023},
{"1.ffffffffffffe8p+1023", chars_format::hex, 22, errc{}, 0x1.ffffffffffffep+1023},
{"1."
"ffffffffffffe800000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000"
"0000000000000000000000000000000001p+1023",
chars_format::hex, 1023, errc{}, 0x1.fffffffffffffp+1023},
// VSO-733765 "<charconv>: [Feedback] double std::from_chars behavior on exponent out of range"
// LWG-3081 "Floating point from_chars API does not distinguish between overflow and underflow"
// These test cases exercise every overflow/underflow codepath.
{"1e+1000", chars_format::scientific, 7, errc::result_out_of_range, double_inf},
{"1e-1000", chars_format::scientific, 7, errc::result_out_of_range, 0.0},
{"1.fffffffffffff8p+1023", chars_format::hex, 22, errc::result_out_of_range, double_inf},
{"1e+2000", chars_format::scientific, 7, errc::result_out_of_range, double_inf},
{"1e-2000", chars_format::scientific, 7, errc::result_out_of_range, 0.0},
{"1e+9999", chars_format::scientific, 7, errc::result_out_of_range, double_inf},
{"1e-9999", chars_format::scientific, 7, errc::result_out_of_range, 0.0},
{"10e+5199", chars_format::scientific, 8, errc::result_out_of_range, double_inf},
{"0.001e-5199", chars_format::scientific, 11, errc::result_out_of_range, 0.0},
};
#endif // DOUBLE_FROM_CHARS_TEST_CASES_HPP
|
