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
|
------------------------------------------------------------------------
-- log10.decTest -- decimal logarithm in base 10 --
-- Copyright (c) IBM Corporation, 2005, 2007. All rights reserved. --
------------------------------------------------------------------------
-- Please see the document "General Decimal Arithmetic Testcases" --
-- at http://www2.hursley.ibm.com/decimal for the description of --
-- these testcases. --
-- --
-- These testcases are experimental ('beta' versions), and they --
-- may contain errors. They are offered on an as-is basis. In --
-- particular, achieving the same results as the tests here is not --
-- a guarantee that an implementation complies with any Standard --
-- or specification. The tests are not exhaustive. --
-- --
-- Please send comments, suggestions, and corrections to the author: --
-- Mike Cowlishaw, IBM Fellow --
-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
-- mfc@uk.ibm.com --
------------------------------------------------------------------------
version: 2.57
-- This emphasises the testing of notable cases, as they will often
-- have unusual paths (especially the 10**n results).
extended: 1
precision: 16
rounding: half_even
maxExponent: 384
minexponent: -383
-- examples in specification
precision: 9
logxs000 log10 0 -> -Infinity
logxs001 log10 0.001 -> -3
logxs002 log10 1 -> 0
logxs003 log10 2 -> 0.301029996 Inexact Rounded
logxs004 log10 10 -> 1
logxs005 log10 70 -> 1.84509804 Inexact Rounded
logxs006 log10 +Infinity -> Infinity
-- basics (examples in specification, etc.)
precision: 16
logx0000 log10 0 -> -Infinity
logx0001 log10 7E-1000 -> -999.1549019599857 Inexact Rounded
logx0002 log10 1.1E-9 -> -8.958607314841775 Inexact Rounded
logx0003 log10 0.0007 -> -3.154901959985743 Inexact Rounded
logx0004 log10 0.11 -> -0.9586073148417750 Inexact Rounded
logx0005 log10 0.7 -> -0.1549019599857432 Inexact Rounded
logx0006 log10 1 -> 0
logx0007 log10 1.5 -> 0.1760912590556812 Inexact Rounded
logx0008 log10 2 -> 0.3010299956639812 Inexact Rounded
logx0009 log10 2.718281828459045 -> 0.4342944819032518 Inexact Rounded
logx0010 log10 2.718281828459046 -> 0.4342944819032519 Inexact Rounded
logx0011 log10 2.718281828459047 -> 0.4342944819032521 Inexact Rounded
logx0012 log10 7 -> 0.8450980400142568 Inexact Rounded
logx0013 log10 10 -> 1
logx0014 log10 10.5 -> 1.021189299069938 Inexact Rounded
logx0015 log10 11 -> 1.041392685158225 Inexact Rounded
logx0016 log10 70 -> 1.845098040014257 Inexact Rounded
logx0017 log10 9999 -> 3.999956568380192 Inexact Rounded
logx0018 log10 1.21E6 -> 6.082785370316450 Inexact Rounded
logx0019 log10 1.1E+9 -> 9.041392685158225 Inexact Rounded
logx0020 log10 7E+1000 -> 1000.845098040014 Inexact Rounded
logx0021 log10 +Infinity -> Infinity
-- notable cases
-- negatives
logx0031 log10 -1E-9 -> NaN Invalid_operation
logx0032 log10 -0.0007 -> NaN Invalid_operation
logx0033 log10 -0.1 -> NaN Invalid_operation
logx0034 log10 -0.7 -> NaN Invalid_operation
logx0035 log10 -1 -> NaN Invalid_operation
logx0036 log10 -1.5 -> NaN Invalid_operation
logx0037 log10 -2 -> NaN Invalid_operation
logx0038 log10 -10.5 -> NaN Invalid_operation
logx0039 log10 -10.5 -> NaN Invalid_operation
logx0040 log10 -9999 -> NaN Invalid_operation
logx0041 log10 -10 -> NaN Invalid_operation
logx0042 log10 -0 -> -Infinity
logx0043 log10 -0E+17 -> -Infinity
logx0044 log10 -0E-17 -> -Infinity
-- other zeros
logx0051 log10 0 -> -Infinity
logx0052 log10 0E+17 -> -Infinity
logx0053 log10 0E-17 -> -Infinity
-- infinities
logx0055 log10 -Infinity -> NaN Invalid_operation
logx0056 log10 +Infinity -> Infinity
-- ones
logx0061 log10 1 -> 0
logx0062 log10 1.0 -> 0
logx0063 log10 1.000000000000000 -> 0
logx0064 log10 1.000000000000000000 -> 0
-- notable cases -- exact powers of 10
logx1100 log10 1 -> 0
logx1101 log10 10 -> 1
logx1102 log10 100 -> 2
logx1103 log10 1000 -> 3
logx1104 log10 10000 -> 4
logx1105 log10 100000 -> 5
logx1106 log10 1000000 -> 6
logx1107 log10 10000000 -> 7
logx1108 log10 100000000 -> 8
logx1109 log10 1000000000 -> 9
logx1110 log10 10000000000 -> 10
logx1111 log10 100000000000 -> 11
logx1112 log10 1000000000000 -> 12
logx1113 log10 0.00000000001 -> -11
logx1114 log10 0.0000000001 -> -10
logx1115 log10 0.000000001 -> -9
logx1116 log10 0.00000001 -> -8
logx1117 log10 0.0000001 -> -7
logx1118 log10 0.000001 -> -6
logx1119 log10 0.00001 -> -5
logx1120 log10 0.0001 -> -4
logx1121 log10 0.001 -> -3
logx1122 log10 0.01 -> -2
logx1123 log10 0.1 -> -1
logx1124 log10 1E-99 -> -99
logx1125 log10 1E-100 -> -100
logx1126 log10 1E-383 -> -383
-- check normally exact cases round properly
precision: 1
logx1141 log10 10000000000 -> 1E+1 Rounded
logx1142 log10 1000000000000 -> 1E+1 Inexact Rounded
logx1143 log10 1E+100 -> 1E+2 Rounded
logx1144 log10 1E+123 -> 1E+2 Inexact Rounded
logx1145 log10 1E+126 -> 1E+2 Inexact Rounded
logx1146 log10 1E+916 -> 9E+2 Inexact Rounded
logx1147 log10 1E+999 -> 1E+3 Inexact Rounded
precision: 2
logx1151 log10 10000000000 -> 10
logx1152 log10 1000000000000 -> 12
logx1153 log10 1E+100 -> 1.0E+2 Rounded
logx1154 log10 1E+123 -> 1.2E+2 Inexact Rounded
logx1155 log10 1E+126 -> 1.3E+2 Inexact Rounded
logx1156 log10 1E+916 -> 9.2E+2 Inexact Rounded
logx1157 log10 1E+999 -> 1.0E+3 Inexact Rounded
-- some half-way point rounds, other cases, and negatives
logx1158 log10 1E+125 -> 1.2E+2 Inexact Rounded
logx1159 log10 1E+135 -> 1.4E+2 Inexact Rounded
logx1160 log10 1E+129 -> 1.3E+2 Inexact Rounded
logx1161 log10 1E+131 -> 1.3E+2 Inexact Rounded
logx1162 log10 1E-123 -> -1.2E+2 Inexact Rounded
logx1163 log10 1E-126 -> -1.3E+2 Inexact Rounded
logx1164 log10 1E-916 -> -9.2E+2 Inexact Rounded
logx1165 log10 1E-999 -> -1.0E+3 Inexact Rounded
logx1166 log10 1E-125 -> -1.2E+2 Inexact Rounded
logx1167 log10 1E-135 -> -1.4E+2 Inexact Rounded
logx1168 log10 1E-129 -> -1.3E+2 Inexact Rounded
logx1169 log10 1E-131 -> -1.3E+2 Inexact Rounded
precision: 3
logx1171 log10 10000000000 -> 10
logx1172 log10 1000000000000 -> 12
logx1173 log10 1E+100 -> 100
logx1174 log10 1E+123 -> 123
logx1175 log10 1E+126 -> 126
logx1176 log10 1E+916 -> 916
logx1177 log10 1E+999 -> 999
-- log10(2) .. tests both ln(2) and ln(10) constants, too
precision: 50
logx1201 log10 2 -> 0.30102999566398119521373889472449302676818988146211 Inexact Rounded
logx1202 log10 2.000 -> 0.30102999566398119521373889472449302676818988146211 Inexact Rounded
logx1203 log10 0.2E1 -> 0.30102999566398119521373889472449302676818988146211 Inexact Rounded
precision: 49
logx1204 log10 2 -> 0.3010299956639811952137388947244930267681898814621 Inexact Rounded
precision: 48
logx1205 log10 2 -> 0.301029995663981195213738894724493026768189881462 Inexact Rounded
precision: 47
logx1206 log10 2 -> 0.30102999566398119521373889472449302676818988146 Inexact Rounded
precision: 46
logx1207 log10 2 -> 0.3010299956639811952137388947244930267681898815 Inexact Rounded
precision: 45
logx1208 log10 2 -> 0.301029995663981195213738894724493026768189881 Inexact Rounded
precision: 44
logx1209 log10 2 -> 0.30102999566398119521373889472449302676818988 Inexact Rounded
precision: 43
logx1210 log10 2 -> 0.3010299956639811952137388947244930267681899 Inexact Rounded
precision: 42
logx1211 log10 2 -> 0.301029995663981195213738894724493026768190 Inexact Rounded
precision: 41
logx1212 log10 2 -> 0.30102999566398119521373889472449302676819 Inexact Rounded
precision: 40
logx1213 log10 2 -> 0.3010299956639811952137388947244930267682 Inexact Rounded
precision: 39
logx1214 log10 2 -> 0.301029995663981195213738894724493026768 Inexact Rounded
precision: 38
logx1215 log10 2 -> 0.30102999566398119521373889472449302677 Inexact Rounded
precision: 37
logx1216 log10 2 -> 0.3010299956639811952137388947244930268 Inexact Rounded
precision: 36
logx1217 log10 2 -> 0.301029995663981195213738894724493027 Inexact Rounded
precision: 35
logx1218 log10 2 -> 0.30102999566398119521373889472449303 Inexact Rounded
precision: 34
logx1219 log10 2 -> 0.3010299956639811952137388947244930 Inexact Rounded
precision: 33
logx1220 log10 2 -> 0.301029995663981195213738894724493 Inexact Rounded
precision: 32
logx1221 log10 2 -> 0.30102999566398119521373889472449 Inexact Rounded
precision: 31
logx1222 log10 2 -> 0.3010299956639811952137388947245 Inexact Rounded
precision: 30
logx1223 log10 2 -> 0.301029995663981195213738894724 Inexact Rounded
precision: 29
logx1224 log10 2 -> 0.30102999566398119521373889472 Inexact Rounded
precision: 28
logx1225 log10 2 -> 0.3010299956639811952137388947 Inexact Rounded
precision: 27
logx1226 log10 2 -> 0.301029995663981195213738895 Inexact Rounded
precision: 26
logx1227 log10 2 -> 0.30102999566398119521373889 Inexact Rounded
precision: 25
logx1228 log10 2 -> 0.3010299956639811952137389 Inexact Rounded
precision: 24
logx1229 log10 2 -> 0.301029995663981195213739 Inexact Rounded
precision: 23
logx1230 log10 2 -> 0.30102999566398119521374 Inexact Rounded
precision: 22
logx1231 log10 2 -> 0.3010299956639811952137 Inexact Rounded
precision: 21
logx1232 log10 2 -> 0.301029995663981195214 Inexact Rounded
precision: 20
logx1233 log10 2 -> 0.30102999566398119521 Inexact Rounded
precision: 19
logx1234 log10 2 -> 0.3010299956639811952 Inexact Rounded
precision: 18
logx1235 log10 2 -> 0.301029995663981195 Inexact Rounded
precision: 17
logx1236 log10 2 -> 0.30102999566398120 Inexact Rounded
precision: 16
logx1237 log10 2 -> 0.3010299956639812 Inexact Rounded
precision: 15
logx1238 log10 2 -> 0.301029995663981 Inexact Rounded
precision: 14
logx1239 log10 2 -> 0.30102999566398 Inexact Rounded
precision: 13
logx1240 log10 2 -> 0.3010299956640 Inexact Rounded
precision: 12
logx1241 log10 2 -> 0.301029995664 Inexact Rounded
precision: 11
logx1242 log10 2 -> 0.30102999566 Inexact Rounded
precision: 10
logx1243 log10 2 -> 0.3010299957 Inexact Rounded
precision: 9
logx1244 log10 2 -> 0.301029996 Inexact Rounded
precision: 8
logx1245 log10 2 -> 0.30103000 Inexact Rounded
precision: 7
logx1246 log10 2 -> 0.3010300 Inexact Rounded
precision: 6
logx1247 log10 2 -> 0.301030 Inexact Rounded
precision: 5
logx1248 log10 2 -> 0.30103 Inexact Rounded
precision: 4
logx1249 log10 2 -> 0.3010 Inexact Rounded
precision: 3
logx1250 log10 2 -> 0.301 Inexact Rounded
precision: 2
logx1251 log10 2 -> 0.30 Inexact Rounded
precision: 1
logx1252 log10 2 -> 0.3 Inexact Rounded
maxExponent: 384
minExponent: -383
precision: 16
rounding: half_even
-- More close-to-e, etc., tests
precision: 34
logx1301 log10 2.718281828459045235360287471352661 -> 0.4342944819032518276511289189166048 Inexact Rounded
logx1302 log10 2.718281828459045235360287471352662 -> 0.4342944819032518276511289189166050 Inexact Rounded
logx1303 log10 2.718281828459045235360287471352663 -> 0.4342944819032518276511289189166052 Inexact Rounded
logx1304 log10 0.99999999999999999999999999999999 -> -4.342944819032518276511289189166073E-33 Inexact Rounded
logx1305 log10 0.999999999999999999999999999999999 -> -4.342944819032518276511289189166053E-34 Inexact Rounded
logx1306 log10 0.9999999999999999999999999999999999 -> -4.342944819032518276511289189166051E-35 Inexact Rounded
logx1307 log10 1.000000000000000000000000000000000 -> 0
logx1308 log10 1.0000000000000000000000000000000001 -> 4.342944819032518276511289189166051E-35 Inexact Rounded
logx1309 log10 1.000000000000000000000000000000001 -> 4.342944819032518276511289189166049E-34 Inexact Rounded
logx1310 log10 1.00000000000000000000000000000001 -> 4.342944819032518276511289189166029E-33 Inexact Rounded
-- lower p
precision: 7
logx1320 log10 0.999999 -> -4.342947E-7 Inexact Rounded
logx1321 log10 0.9999999 -> -4.342945E-8 Inexact Rounded
logx1322 log10 0.99999999 -> -4.342945E-9 Inexact Rounded
logx1323 log10 0.999999999 -> -4.342945E-10 Inexact Rounded
logx1324 log10 1.00000000 -> 0
logx1325 log10 1.00000001 -> 4.342945E-9 Inexact Rounded
logx1326 log10 1.0000001 -> 4.342945E-8 Inexact Rounded
logx1327 log10 1.000001 -> 4.342943E-7 Inexact Rounded
-- near 10^3
precision: 9
logx1331 log10 999.9999998 -> 3.00000000 Inexact Rounded
logx1332 log10 999.9999999 -> 3.00000000 Inexact Rounded
logx1333 log10 1000.000000 -> 3
logx1334 log10 1000.000001 -> 3.00000000 Inexact Rounded
logx1335 log10 1000.000002 -> 3.00000000 Inexact Rounded
precision: 16
logx1341 log10 999.9999998 -> 2.999999999913141 Inexact Rounded
logx1342 log10 999.9999999 -> 2.999999999956571 Inexact Rounded
logx1343 log10 1000.000000 -> 3
logx1344 log10 1000.000001 -> 3.000000000434294 Inexact Rounded
logx1345 log10 1000.000002 -> 3.000000000868589 Inexact Rounded
-- suggestions from Ilan Nehama
logx1400 log10 10E-3 -> -2
logx1401 log10 10E-2 -> -1
logx1402 log10 100E-2 -> 0
logx1403 log10 1000E-2 -> 1
logx1404 log10 10000E-2 -> 2
logx1405 log10 10E-1 -> 0
logx1406 log10 100E-1 -> 1
logx1407 log10 1000E-1 -> 2
logx1408 log10 10000E-1 -> 3
logx1409 log10 10E0 -> 1
logx1410 log10 100E0 -> 2
logx1411 log10 1000E0 -> 3
logx1412 log10 10000E0 -> 4
logx1413 log10 10E1 -> 2
logx1414 log10 100E1 -> 3
logx1415 log10 1000E1 -> 4
logx1416 log10 10000E1 -> 5
logx1417 log10 10E2 -> 3
logx1418 log10 100E2 -> 4
logx1419 log10 1000E2 -> 5
logx1420 log10 10000E2 -> 6
-- Randoms
-- P=50, within 0-9999
Precision: 50
logx2501 log10 0.00035448001667968141775891246991912655961163345904 -> -3.4504082425411775290864053318247274944685586188505 Inexact Rounded
logx2502 log10 70.636455726424311228255338637935330826995136597644 -> 1.8490288998408492045793070255302335558140975719247 Inexact Rounded
logx2503 log10 0.00000000000000233550362473821889060812804063040169 -> -14.631619454343834858023578299142866557717904223667 Inexact Rounded
logx2504 log10 97.783628621523244679901260358286898958832135433764 -> 1.9902661493224219517897657964362571690592734407330 Inexact Rounded
logx2505 log10 0062.2377135315858392802612812022807838599572017342 -> 1.7940536293085066199287632725026837018486533544141 Inexact Rounded
logx2506 log10 6.3767634652071053619977602804724129652981747879532 -> 0.80460030789825961615100163576080761326857374098644 Inexact Rounded
logx2507 log10 63.297088981313278529306533814195068850532666658798 -> 1.8013837373724427092417170149098614410849353839673 Inexact Rounded
logx2508 log10 0.00000077239693316881797717820110898167721602299187 -> -6.1121594592718550613773886241951966264826760310047 Inexact Rounded
logx2509 log10 0.00000003953580359780185534830572461922527831395002 -> -7.4030094293833847136252547069905477213541787177561 Inexact Rounded
logx2510 log10 754.62905817369989169188998111527272688791544577204 -> 2.8777335243761300047758534304371912099958057545416 Inexact Rounded
logx2511 log10 0.00000048360378410241428936607147056283282849158312 -> -6.3155103095309353457604038397980091650760346334512 Inexact Rounded
logx2512 log10 0.00007509037583645612577196104591672080542932166089 -> -4.1244157219700166314012344705538088030592896111026 Inexact Rounded
logx2513 log10 0.00000000000705475944638915053419839063567898092064 -> -11.151517790256466048553810002525868198178167950377 Inexact Rounded
logx2514 log10 9.6210300460497657917445410947099633479609165120661 -> 0.98322157093260978206633922877716078683518617768411 Inexact Rounded
logx2515 log10 0.00000000050150361386555527496607245976120864985611 -> -9.2997259330798261040411086835563234390934934629340 Inexact Rounded
logx2516 log10 098.24754029731994125797723545333677604490074810751 -> 1.9923216862874337077795278629351060819105679670633 Inexact Rounded
logx2517 log10 7.5091998150046994320441463854301624742491015752980 -> 0.87559366078005924080766469158763499725414024128781 Inexact Rounded
logx2518 log10 0.00000000000079540571273330075193668596942268542425 -> -12.099411294165176028817305108475326325006250936963 Inexact Rounded
logx2519 log10 0.00000042395034799555215782907515074134154915491701 -> -6.3726850039125381134069450802108893075604464135297 Inexact Rounded
logx2520 log10 56.683376304674355481905023145238799909301732694982 -> 1.7534557107853480435703421826077606250636580091754 Inexact Rounded
logx2521 log10 48.734033811444195070807606721517169810438049581227 -> 1.6878323602741065190942654710049433808208291564049 Inexact Rounded
logx2522 log10 0.00074830310930046865009851706989430228561880221063 -> -3.1259224502209974082223667712016445572431791920618 Inexact Rounded
logx2523 log10 36.677348885111593384020836720396262497122708598359 -> 1.5643979364260796086754530282302605477567469395425 Inexact Rounded
logx2524 log10 0.00000000000000004495678560480432858812419145833744 -> -16.347204748239740510014320630363244015916029619561 Inexact Rounded
logx2525 log10 9509.5854013650642799374159131940108748594774307104 -> 3.9781615829916326741100166519726824430945406302661 Inexact Rounded
logx2526 log10 0.07834891268689177014044454793608715276615743819097 -> -1.1059670262197643147805517398621288897669876996348 Inexact Rounded
logx2527 log10 0.00000029584529880706128444454688454999032801904794 -> -6.5289353275814043710076526920566721570375026917206 Inexact Rounded
logx2528 log10 3.0713496544497618098794332787772186176981011904294 -> 0.48732926103896828546424341029492468100431414072994 Inexact Rounded
logx2529 log10 352.66392670788816474407442785460803833927136413943 -> 2.5473610388199562714709836398243933320284077008314 Inexact Rounded
logx2530 log10 0.00304743125181876267210516527361742185617091801650 -> -2.5160660830163981967774124745311497447050056400207 Inexact Rounded
logx2531 log10 0.00000076120535894952136499250364604538117729437183 -> -6.1184981629047051532448413863950776496652483019415 Inexact Rounded
logx2532 log10 769.88795978534353052965286195053735007473187735815 -> 2.8864275277862652709986498581064117950288798222100 Inexact Rounded
logx2533 log10 0.00000000000000041297494808612226304619570016336188 -> -15.384076292745415917510668454361868659468669804710 Inexact Rounded
logx2534 log10 860.88864595714426940247940960258558876903741966974 -> 2.9349469800554277915920278090647283233440859155176 Inexact Rounded
logx2535 log10 5839.0328812994787235900178587371051096898683972444 -> 3.7663409208972392569269125539438874737147906238543 Inexact Rounded
logx2536 log10 0.00000028532710151284840471670497112821201598377841 -> -6.5446569753514027675878879843238065488490618159490 Inexact Rounded
logx2537 log10 0.00000000000000009734490059931638483445631835651581 -> -16.011686794011271135978633880864278692254243106931 Inexact Rounded
logx2538 log10 5.8610949526439529489252302463450302981511714144330 -> 0.76797875722452549281028552067645732490929361952278 Inexact Rounded
logx2539 log10 6.6282432221115923372151148990137179611977576327206 -> 0.82139843639227213211012044000785757267155736071361 Inexact Rounded
logx2540 log10 0.00000000001994071862386846626954819923923344413454 -> -10.700259194632339980266559224447212260115021637626 Inexact Rounded
-- P=34, within 0-9999
Precision: 34
logx2201 log10 1.522513203889714179088327328864183 -> 0.1825610677098896250496651330492109 Inexact Rounded
logx2202 log10 0.171123774769717316154080888930404 -> -0.7666896483548462582461898092764408 Inexact Rounded
logx2203 log10 0.0000000997467236251714283104963838 -> -7.001101360652518274271569010312115 Inexact Rounded
logx2204 log10 0.0008856103624122479769647543468633 -> -3.052757310476070891830490327138190 Inexact Rounded
logx2205 log10 1.938274868738032930709498221236758 -> 0.2874153648259449520201536171714594 Inexact Rounded
logx2206 log10 479.5667847823826713082613445010097 -> 2.680849095850361068709165157286435 Inexact Rounded
logx2207 log10 8856.136599178820202141823157336804 -> 3.947244306584767101480454261950559 Inexact Rounded
logx2208 log10 0.0000911026318801903982642871344858 -> -4.040469076434979398438617464033826 Inexact Rounded
logx2209 log10 0.0000000000017271112650427414732630 -> -11.76267968314038748995178212654921 Inexact Rounded
logx2210 log10 6.962605370078885647639503548229695 -> 0.8427717807200322352686396925992250 Inexact Rounded
logx2211 log10 0.3354804428992793132855923541692781 -> -0.4743327923012159170967636070844834 Inexact Rounded
logx2212 log10 2.079864257474859008252165836663504 -> 0.3180349916198059046812506741388856 Inexact Rounded
logx2213 log10 2805.479529292939499220276986621988 -> 3.448007104139974344565978780624744 Inexact Rounded
logx2214 log10 66.45731133034187374557028537213949 -> 1.822542767005644041661520936223086 Inexact Rounded
logx2215 log10 0.0000001206521261762681738274822835 -> -6.918465020390216969561494755767318 Inexact Rounded
logx2216 log10 0.0000000001884891916264401160472381 -> -9.724713548119065386091933007528633 Inexact Rounded
logx2217 log10 0.0000015467279551726326581314582759 -> -5.810586065070435383755759514608738 Inexact Rounded
logx2218 log10 0.0090776316728068586744633914135952 -> -2.042027442843745884503280954390114 Inexact Rounded
logx2219 log10 0.0000000000024541106528713393740030 -> -11.61010585935635713090119156069479 Inexact Rounded
logx2220 log10 14.12936879385863410081087750645856 -> 1.150122760895466989841057385742662 Inexact Rounded
logx2221 log10 0.0000036912481831392922922647231392 -> -5.432826753789892283556211380824203 Inexact Rounded
logx2222 log10 0.0000000004067477525420424270138734 -> -9.390674838050073122857868012475060 Inexact Rounded
logx2223 log10 7080.122562705399744969319589806194 -> 3.850040775747103318724330047546916 Inexact Rounded
logx2224 log10 261.3491411363679209175524790255725 -> 2.417221077227536319655699517530855 Inexact Rounded
logx2225 log10 003.9945581449915240094728380041494 -> 0.6014687471531988260823066997845691 Inexact Rounded
logx2226 log10 0.0000000000583549164588495206767840 -> -10.23392254834182677023231713519341 Inexact Rounded
logx2227 log10 9567.961832607240278342761088487484 -> 3.980819434211107631569386147016368 Inexact Rounded
logx2228 log10 06.26592979160342972777219828867033 -> 0.7969855243966221408595024012574729 Inexact Rounded
logx2229 log10 0.0000000000589847046598067273287319 -> -10.22926059078206218717755253582907 Inexact Rounded
logx2230 log10 567.9388648235589204769442863724997 -> 2.754301589058313576472380262907638 Inexact Rounded
logx2231 log10 039.7790325480037778918162264883415 -> 1.599654216592019199639285308997886 Inexact Rounded
logx2232 log10 0.0000000005123951921894162149817207 -> -9.290394953898862694847327137242690 Inexact Rounded
logx2233 log10 0.0000000000038500999723636904276723 -> -11.41452799337924056186867324854691 Inexact Rounded
logx2234 log10 0.0006726500658977759825616537935864 -> -3.172210810922768725687671849421792 Inexact Rounded
logx2235 log10 260.2400250475967528429943779126507 -> 2.415374092073799204236801383070064 Inexact Rounded
logx2236 log10 0.0000000006101942339385102585042548 -> -9.214531900562046557191261226632509 Inexact Rounded
logx2237 log10 0.0000000010846867501382746760066557 -> -8.964695664883282406359874242387236 Inexact Rounded
logx2238 log10 60.24078375568814769010333711509928 -> 1.779890613567084253168373266648922 Inexact Rounded
logx2239 log10 0.0012058738711757669337600252986093 -> -2.918698115012605915753728220896010 Inexact Rounded
logx2240 log10 230.9450930197841600611503095185600 -> 2.363508739056822846742942599628966 Inexact Rounded
-- P=16, within 0-999
Precision: 16
logx2101 log10 0.0072067119605184 -> -2.142262835573038 Inexact Rounded
logx2102 log10 503.6828482226624 -> 2.702157162195652 Inexact Rounded
logx2103 log10 64.96074447821815 -> 1.812650993464174 Inexact Rounded
logx2104 log10 48.75408597467246 -> 1.688011018842600 Inexact Rounded
logx2105 log10 0.0329009839269587 -> -1.482791113975280 Inexact Rounded
logx2106 log10 223.5320415060633 -> 2.349339784523410 Inexact Rounded
logx2107 log10 73.12765002292194 -> 1.864081617476268 Inexact Rounded
logx2108 log10 487.3749378358509 -> 2.687863192802252 Inexact Rounded
logx2109 log10 0.0000019671987621 -> -5.706151757557926 Inexact Rounded
logx2110 log10 0.0570680660609784 -> -1.243606844697873 Inexact Rounded
logx2111 log10 33.10311638788998 -> 1.519868880976773 Inexact Rounded
logx2112 log10 0.0687382699187077 -> -1.162801402868185 Inexact Rounded
logx2113 log10 258.9416193626484 -> 2.413201859654145 Inexact Rounded
logx2114 log10 0.0005306100136736 -> -3.275224558269725 Inexact Rounded
logx2115 log10 65.78490393408572 -> 1.818126244825109 Inexact Rounded
logx2116 log10 504.2328842073510 -> 2.702631165346958 Inexact Rounded
logx2117 log10 9.417432755815027 -> 0.9739325278524503 Inexact Rounded
logx2118 log10 006.7054835355498 -> 0.8264301004947640 Inexact Rounded
logx2119 log10 0.0917012272363915 -> -1.037624852133399 Inexact Rounded
logx2120 log10 5.959404385244921 -> 0.7752028561953401 Inexact Rounded
logx2121 log10 0.0001209759148486 -> -3.917301084968903 Inexact Rounded
logx2122 log10 0.0004706112139838 -> -3.327337728428039 Inexact Rounded
logx2123 log10 0.0069700457377046 -> -2.156764372035771 Inexact Rounded
logx2124 log10 0.5155584569852619 -> -0.2877220847805025 Inexact Rounded
logx2125 log10 88.06005885607414 -> 1.944778971389913 Inexact Rounded
logx2126 log10 0.0448240038219866 -> -1.348489353509709 Inexact Rounded
logx2127 log10 3.419622484059565 -> 0.5339781639101145 Inexact Rounded
logx2128 log10 5.171123353858721 -> 0.7135848977142854 Inexact Rounded
logx2129 log10 0.0002133188319807 -> -3.670970802945872 Inexact Rounded
logx2130 log10 46.21086703136966 -> 1.664744117045149 Inexact Rounded
logx2131 log10 0.0000631053714415 -> -4.199933672639880 Inexact Rounded
logx2132 log10 78.66019196870698 -> 1.895755001962469 Inexact Rounded
logx2133 log10 0.0007152278351188 -> -3.145555592082297 Inexact Rounded
logx2134 log10 45.52509819928536 -> 1.658250891256892 Inexact Rounded
logx2135 log10 0.0000703227795740 -> -4.152903971697183 Inexact Rounded
logx2136 log10 26.24438641426669 -> 1.419036423550599 Inexact Rounded
logx2137 log10 0.0000044654829535 -> -5.350131564166817 Inexact Rounded
logx2138 log10 0.7360702733062529 -> -0.1330807211893611 Inexact Rounded
logx2139 log10 8.417059176469655 -> 0.9251603805112778 Inexact Rounded
logx2140 log10 0.0002926570767968 -> -3.533640969664818 Inexact Rounded
-- P=7, within 0-99
Precision: 7
logx2001 log10 57.26089 -> 1.757858 Inexact Rounded
logx2002 log10 0.0575421 -> -1.240014 Inexact Rounded
logx2003 log10 0.5918465 -> -0.2277909 Inexact Rounded
logx2004 log10 0.0068776 -> -2.162563 Inexact Rounded
logx2005 log10 0.0066833 -> -2.175009 Inexact Rounded
logx2006 log10 9.926963 -> 0.9968164 Inexact Rounded
logx2007 log10 0.0041852 -> -2.378284 Inexact Rounded
logx2008 log10 84.15412 -> 1.925075 Inexact Rounded
logx2009 log10 2.466856 -> 0.3921438 Inexact Rounded
logx2010 log10 0.0058047 -> -2.236220 Inexact Rounded
logx2011 log10 9.885154 -> 0.9949834 Inexact Rounded
logx2012 log10 0.6667654 -> -0.1760269 Inexact Rounded
logx2013 log10 34.65736 -> 1.539795 Inexact Rounded
logx2014 log10 0.0026884 -> -2.570506 Inexact Rounded
logx2015 log10 0.0432767 -> -1.363746 Inexact Rounded
logx2016 log10 66.01407 -> 1.819637 Inexact Rounded
logx2017 log10 0.0070572 -> -2.151368 Inexact Rounded
logx2018 log10 0.0731613 -> -1.135719 Inexact Rounded
logx2019 log10 9.838983 -> 0.9929502 Inexact Rounded
logx2020 log10 15.89696 -> 1.201314 Inexact Rounded
logx2021 log10 8.459247 -> 0.9273317 Inexact Rounded
logx2022 log10 0.0010873 -> -2.963651 Inexact Rounded
logx2023 log10 0.6498619 -> -0.1871789 Inexact Rounded
logx2024 log10 0.0847008 -> -1.072112 Inexact Rounded
logx2025 log10 0.0075489 -> -2.122116 Inexact Rounded
logx2026 log10 51.11152 -> 1.708519 Inexact Rounded
logx2027 log10 0.7233866 -> -0.1406295 Inexact Rounded
logx2028 log10 2.254721 -> 0.3530928 Inexact Rounded
logx2029 log10 6.568444 -> 0.8174625 Inexact Rounded
logx2030 log10 83.72639 -> 1.922862 Inexact Rounded
logx2031 log10 6.720585 -> 0.8274071 Inexact Rounded
logx2032 log10 87.90366 -> 1.944007 Inexact Rounded
logx2033 log10 0.0433324 -> -1.363187 Inexact Rounded
logx2034 log10 34.63912 -> 1.539567 Inexact Rounded
logx2035 log10 0.8089059 -> -0.09210200 Inexact Rounded
logx2036 log10 7.793405 -> 0.8917272 Inexact Rounded
logx2037 log10 0.0041757 -> -2.379271 Inexact Rounded
logx2038 log10 7.135417 -> 0.8534194 Inexact Rounded
logx2039 log10 12.49570 -> 1.096761 Inexact Rounded
logx2040 log10 6.356276 -> 0.8032027 Inexact Rounded
--------
maxExponent: 384
minExponent: -383
precision: 16
rounding: half_even
-- special values
logx820 log10 Infinity -> Infinity
logx821 log10 0 -> -Infinity
logx822 log10 NaN -> NaN
logx823 log10 sNaN -> NaN Invalid_operation
-- propagating NaNs
logx824 log10 sNaN123 -> NaN123 Invalid_operation
logx825 log10 -sNaN321 -> -NaN321 Invalid_operation
logx826 log10 NaN456 -> NaN456
logx827 log10 -NaN654 -> -NaN654
logx828 log10 NaN1 -> NaN1
-- Invalid operations due to restrictions
-- [next two probably skipped by most test harnesses]
precision: 100000000
logx901 log10 1 -> NaN Invalid_context
precision: 99999999
logx902 log10 0 -> NaN Invalid_context
precision: 9
maxExponent: 1000000
minExponent: -999999
logx903 log10 1 -> NaN Invalid_context
maxExponent: 999999
minExponent: -999999
logx904 log10 0 -> -Infinity
maxExponent: 999999
minExponent: -1000000
logx905 log10 1 -> NaN Invalid_context
maxExponent: 999999
minExponent: -999998
logx906 log10 0 -> -Infinity
-- Null test
logx900 log10 # -> NaN Invalid_operation
|
