github.com/cockroachdb/apd/v3@v3.2.0/testdata/log10.decTest (about)

     1  ------------------------------------------------------------------------
     2  -- log10.decTest -- decimal logarithm in base 10                      --
     3  -- Copyright (c) Mike Cowlishaw,  1981, 2010.  All rights reserved.   --
     4  -- Parts copyright (c) IBM Corporation, 1981, 2008.                   --
     5  ------------------------------------------------------------------------
     6  -- Please see the document "General Decimal Arithmetic Testcases"     --
     7  -- at http://speleotrove.com/decimal for the description of           --
     8  -- these testcases.                                                   --
     9  --                                                                    --
    10  -- These testcases are experimental ('beta' versions), and they       --
    11  -- may contain errors.  They are offered on an as-is basis.  In       --
    12  -- particular, achieving the same results as the tests here is not    --
    13  -- a guarantee that an implementation complies with any Standard      --
    14  -- or specification.  The tests are not exhaustive.                   --
    15  --                                                                    --
    16  -- Please send comments, suggestions, and corrections to the author:  --
    17  --   Mike Cowlishaw, mfc@speleotrove.com                              --
    18  ------------------------------------------------------------------------
    19  version: 2.62
    20  
    21  -- This emphasises the testing of notable cases, as they will often
    22  -- have unusual paths (especially the 10**n results).
    23  
    24  extended:    1
    25  precision:   16
    26  rounding:    half_even
    27  maxExponent: 384
    28  minexponent: -383
    29  
    30  -- examples in specification
    31  precision:   9
    32  logxs000 log10  0                 -> -Infinity
    33  logxs001 log10  0.001             -> -3
    34  logxs002 log10  1                 ->  0
    35  logxs003 log10  2                 ->  0.301029996         Inexact Rounded
    36  logxs004 log10  10                ->  1
    37  logxs005 log10  70                ->  1.84509804          Inexact Rounded
    38  logxs006 log10 +Infinity          ->  Infinity
    39  
    40  
    41  -- basics (examples in specification, etc.)
    42  precision:   16
    43  logx0000 log10  0                 -> -Infinity
    44  logx0001 log10  7E-1000           -> -999.1549019599857   Inexact Rounded
    45  logx0002 log10  1.1E-9            -> -8.958607314841775   Inexact Rounded
    46  logx0003 log10  0.0007            -> -3.154901959985743   Inexact Rounded
    47  logx0004 log10  0.11              -> -0.9586073148417750  Inexact Rounded
    48  logx0005 log10  0.7               -> -0.1549019599857432  Inexact Rounded
    49  logx0006 log10  1                 ->  0
    50  logx0007 log10  1.5               ->  0.1760912590556812  Inexact Rounded
    51  logx0008 log10  2                 ->  0.3010299956639812  Inexact Rounded
    52  logx0009 log10  2.718281828459045 ->  0.4342944819032518  Inexact Rounded
    53  logx0010 log10  2.718281828459046 ->  0.4342944819032519  Inexact Rounded
    54  logx0011 log10  2.718281828459047 ->  0.4342944819032521  Inexact Rounded
    55  logx0012 log10  7                 ->  0.8450980400142568  Inexact Rounded
    56  logx0013 log10  10                ->  1
    57  logx0014 log10  10.5              ->  1.021189299069938   Inexact Rounded
    58  logx0015 log10  11                ->  1.041392685158225   Inexact Rounded
    59  logx0016 log10  70                ->  1.845098040014257   Inexact Rounded
    60  logx0017 log10  9999              ->  3.999956568380192   Inexact Rounded
    61  logx0018 log10  1.21E6            ->  6.082785370316450   Inexact Rounded
    62  logx0019 log10  1.1E+9            ->  9.041392685158225   Inexact Rounded
    63  logx0020 log10  7E+1000           ->  1000.845098040014   Inexact Rounded
    64  logx0021 log10 +Infinity          ->  Infinity
    65  
    66  -- notable cases
    67  -- negatives
    68  logx0031 log10 -1E-9              -> NaN Invalid_operation
    69  logx0032 log10 -0.0007            -> NaN Invalid_operation
    70  logx0033 log10 -0.1               -> NaN Invalid_operation
    71  logx0034 log10 -0.7               -> NaN Invalid_operation
    72  logx0035 log10 -1                 -> NaN Invalid_operation
    73  logx0036 log10 -1.5               -> NaN Invalid_operation
    74  logx0037 log10 -2                 -> NaN Invalid_operation
    75  logx0038 log10 -10.5              -> NaN Invalid_operation
    76  logx0039 log10 -10.5              -> NaN Invalid_operation
    77  logx0040 log10 -9999              -> NaN Invalid_operation
    78  logx0041 log10 -10                -> NaN Invalid_operation
    79  logx0042 log10 -0                 -> -Infinity
    80  logx0043 log10 -0E+17             -> -Infinity
    81  logx0044 log10 -0E-17             -> -Infinity
    82  -- other zeros
    83  logx0051 log10  0                 -> -Infinity
    84  logx0052 log10  0E+17             -> -Infinity
    85  logx0053 log10  0E-17             -> -Infinity
    86  -- infinities
    87  logx0055 log10 -Infinity          -> NaN Invalid_operation
    88  logx0056 log10 +Infinity          -> Infinity
    89  -- ones
    90  logx0061 log10  1                 ->   0
    91  logx0062 log10  1.0               ->   0
    92  logx0063 log10  1.000000000000000 ->   0
    93  logx0064 log10  1.000000000000000000 ->   0
    94  
    95  -- notable cases -- exact powers of 10
    96  logx1100 log10 1             -> 0
    97  logx1101 log10 10            -> 1
    98  logx1102 log10 100           -> 2
    99  logx1103 log10 1000          -> 3
   100  logx1104 log10 10000         -> 4
   101  logx1105 log10 100000        -> 5
   102  logx1106 log10 1000000       -> 6
   103  logx1107 log10 10000000      -> 7
   104  logx1108 log10 100000000     -> 8
   105  logx1109 log10 1000000000    -> 9
   106  logx1110 log10 10000000000   -> 10
   107  logx1111 log10 100000000000  -> 11
   108  logx1112 log10 1000000000000 -> 12
   109  logx1113 log10 0.00000000001 -> -11
   110  logx1114 log10 0.0000000001 -> -10
   111  logx1115 log10 0.000000001 -> -9
   112  logx1116 log10 0.00000001 -> -8
   113  logx1117 log10 0.0000001 -> -7
   114  logx1118 log10 0.000001 -> -6
   115  logx1119 log10 0.00001 -> -5
   116  logx1120 log10 0.0001 -> -4
   117  logx1121 log10 0.001 -> -3
   118  logx1122 log10 0.01 -> -2
   119  logx1123 log10 0.1 -> -1
   120  logx1124 log10 1E-99  -> -99
   121  logx1125 log10 1E-100 -> -100
   122  logx1126 log10 1E-383 -> -383
   123  
   124  -- check normally exact cases round properly
   125  precision: 1
   126  logx1141 log10 10000000000   -> 1E+1         Rounded
   127  logx1142 log10 1000000000000 -> 1E+1 Inexact Rounded
   128  logx1143 log10 1E+100        -> 1E+2         Rounded
   129  logx1144 log10 1E+123        -> 1E+2 Inexact Rounded
   130  logx1145 log10 1E+126        -> 1E+2 Inexact Rounded
   131  logx1146 log10 1E+916        -> 9E+2 Inexact Rounded
   132  logx1147 log10 1E+999        -> 1E+3 Inexact Rounded
   133  
   134  precision: 2
   135  logx1151 log10 10000000000   -> 10
   136  logx1152 log10 1000000000000 -> 12
   137  logx1153 log10 1E+100        -> 1.0E+2         Rounded
   138  logx1154 log10 1E+123        -> 1.2E+2 Inexact Rounded
   139  logx1155 log10 1E+126        -> 1.3E+2 Inexact Rounded
   140  logx1156 log10 1E+916        -> 9.2E+2 Inexact Rounded
   141  logx1157 log10 1E+999        -> 1.0E+3 Inexact Rounded
   142  -- some half-way point rounds, other cases, and negatives
   143  logx1158 log10 1E+125        -> 1.2E+2 Inexact Rounded
   144  logx1159 log10 1E+135        -> 1.4E+2 Inexact Rounded
   145  logx1160 log10 1E+129        -> 1.3E+2 Inexact Rounded
   146  logx1161 log10 1E+131        -> 1.3E+2 Inexact Rounded
   147  logx1162 log10 1E-123        -> -1.2E+2 Inexact Rounded
   148  logx1163 log10 1E-126        -> -1.3E+2 Inexact Rounded
   149  logx1164 log10 1E-916        -> -9.2E+2 Inexact Rounded
   150  logx1165 log10 1E-999        -> -1.0E+3 Inexact Rounded
   151  logx1166 log10 1E-125        -> -1.2E+2 Inexact Rounded
   152  logx1167 log10 1E-135        -> -1.4E+2 Inexact Rounded
   153  logx1168 log10 1E-129        -> -1.3E+2 Inexact Rounded
   154  logx1169 log10 1E-131        -> -1.3E+2 Inexact Rounded
   155  
   156  precision: 3
   157  logx1171 log10 10000000000   -> 10
   158  logx1172 log10 1000000000000 -> 12
   159  logx1173 log10 1E+100        -> 100
   160  logx1174 log10 1E+123        -> 123
   161  logx1175 log10 1E+126        -> 126
   162  logx1176 log10 1E+916        -> 916
   163  logx1177 log10 1E+999        -> 999
   164  
   165  -- log10(2) .. tests both ln(2) and ln(10) constants, too
   166  precision: 50
   167  logx1201 log10 2     -> 0.30102999566398119521373889472449302676818988146211 Inexact Rounded
   168  logx1202 log10 2.000 -> 0.30102999566398119521373889472449302676818988146211 Inexact Rounded
   169  logx1203 log10 0.2E1 -> 0.30102999566398119521373889472449302676818988146211 Inexact Rounded
   170  precision: 49
   171  logx1204 log10 2 -> 0.3010299956639811952137388947244930267681898814621 Inexact Rounded
   172  precision: 48
   173  logx1205 log10 2 -> 0.301029995663981195213738894724493026768189881462  Inexact Rounded
   174  precision: 47
   175  logx1206 log10 2 -> 0.30102999566398119521373889472449302676818988146   Inexact Rounded
   176  precision: 46
   177  logx1207 log10 2 -> 0.3010299956639811952137388947244930267681898815    Inexact Rounded
   178  precision: 45
   179  logx1208 log10 2 -> 0.301029995663981195213738894724493026768189881     Inexact Rounded
   180  precision: 44
   181  logx1209 log10 2 -> 0.30102999566398119521373889472449302676818988      Inexact Rounded
   182  precision: 43
   183  logx1210 log10 2 -> 0.3010299956639811952137388947244930267681899       Inexact Rounded
   184  precision: 42
   185  logx1211 log10 2 -> 0.301029995663981195213738894724493026768190        Inexact Rounded
   186  precision: 41
   187  logx1212 log10 2 -> 0.30102999566398119521373889472449302676819         Inexact Rounded
   188  precision: 40
   189  logx1213 log10 2 -> 0.3010299956639811952137388947244930267682          Inexact Rounded
   190  precision: 39
   191  logx1214 log10 2 -> 0.301029995663981195213738894724493026768           Inexact Rounded
   192  precision: 38
   193  logx1215 log10 2 -> 0.30102999566398119521373889472449302677            Inexact Rounded
   194  precision: 37
   195  logx1216 log10 2 -> 0.3010299956639811952137388947244930268             Inexact Rounded
   196  precision: 36
   197  logx1217 log10 2 -> 0.301029995663981195213738894724493027              Inexact Rounded
   198  precision: 35
   199  logx1218 log10 2 -> 0.30102999566398119521373889472449303               Inexact Rounded
   200  precision: 34
   201  logx1219 log10 2 -> 0.3010299956639811952137388947244930                Inexact Rounded
   202  precision: 33
   203  logx1220 log10 2 -> 0.301029995663981195213738894724493                 Inexact Rounded
   204  precision: 32
   205  logx1221 log10 2 -> 0.30102999566398119521373889472449                  Inexact Rounded
   206  precision: 31
   207  logx1222 log10 2 -> 0.3010299956639811952137388947245                   Inexact Rounded
   208  precision: 30
   209  logx1223 log10 2 -> 0.301029995663981195213738894724                    Inexact Rounded
   210  precision: 29
   211  logx1224 log10 2 -> 0.30102999566398119521373889472                     Inexact Rounded
   212  precision: 28
   213  logx1225 log10 2 -> 0.3010299956639811952137388947                      Inexact Rounded
   214  precision: 27
   215  logx1226 log10 2 -> 0.301029995663981195213738895                       Inexact Rounded
   216  precision: 26
   217  logx1227 log10 2 -> 0.30102999566398119521373889                        Inexact Rounded
   218  precision: 25
   219  logx1228 log10 2 -> 0.3010299956639811952137389                         Inexact Rounded
   220  precision: 24
   221  logx1229 log10 2 -> 0.301029995663981195213739                          Inexact Rounded
   222  precision: 23
   223  logx1230 log10 2 -> 0.30102999566398119521374                           Inexact Rounded
   224  precision: 22
   225  logx1231 log10 2 -> 0.3010299956639811952137                            Inexact Rounded
   226  precision: 21
   227  logx1232 log10 2 -> 0.301029995663981195214                             Inexact Rounded
   228  precision: 20
   229  logx1233 log10 2 -> 0.30102999566398119521                              Inexact Rounded
   230  precision: 19
   231  logx1234 log10 2 -> 0.3010299956639811952                               Inexact Rounded
   232  precision: 18
   233  logx1235 log10 2 -> 0.301029995663981195                                Inexact Rounded
   234  precision: 17
   235  logx1236 log10 2 -> 0.30102999566398120                                 Inexact Rounded
   236  precision: 16
   237  logx1237 log10 2 -> 0.3010299956639812                                  Inexact Rounded
   238  precision: 15
   239  logx1238 log10 2 -> 0.301029995663981                                   Inexact Rounded
   240  precision: 14
   241  logx1239 log10 2 -> 0.30102999566398                                    Inexact Rounded
   242  precision: 13
   243  logx1240 log10 2 -> 0.3010299956640                                     Inexact Rounded
   244  precision: 12
   245  logx1241 log10 2 -> 0.301029995664                                      Inexact Rounded
   246  precision: 11
   247  logx1242 log10 2 -> 0.30102999566                                       Inexact Rounded
   248  precision: 10
   249  logx1243 log10 2 -> 0.3010299957                                        Inexact Rounded
   250  precision:  9
   251  logx1244 log10 2 -> 0.301029996                                         Inexact Rounded
   252  precision:  8
   253  logx1245 log10 2 -> 0.30103000                                          Inexact Rounded
   254  precision:  7
   255  logx1246 log10 2 -> 0.3010300                                           Inexact Rounded
   256  precision:  6
   257  logx1247 log10 2 -> 0.301030                                            Inexact Rounded
   258  precision:  5
   259  logx1248 log10 2 -> 0.30103                                             Inexact Rounded
   260  precision:  4
   261  logx1249 log10 2 -> 0.3010                                              Inexact Rounded
   262  precision:  3
   263  logx1250 log10 2 -> 0.301                                               Inexact Rounded
   264  precision:  2
   265  logx1251 log10 2 -> 0.30                                                Inexact Rounded
   266  precision:  1
   267  logx1252 log10 2 -> 0.3                                                 Inexact Rounded
   268  
   269  maxExponent: 384
   270  minExponent: -383
   271  precision:   16
   272  rounding:    half_even
   273  
   274  -- More close-to-e, etc., tests
   275  precision:   34
   276  logx1301 log10 2.718281828459045235360287471352661  -> 0.4342944819032518276511289189166048 Inexact Rounded
   277  logx1302 log10 2.718281828459045235360287471352662  -> 0.4342944819032518276511289189166050 Inexact Rounded
   278  logx1303 log10 2.718281828459045235360287471352663  -> 0.4342944819032518276511289189166052 Inexact Rounded
   279  logx1304 log10 0.99999999999999999999999999999999   -> -4.342944819032518276511289189166073E-33 Inexact Rounded
   280  logx1305 log10 0.999999999999999999999999999999999  -> -4.342944819032518276511289189166053E-34 Inexact Rounded
   281  logx1306 log10 0.9999999999999999999999999999999999 -> -4.342944819032518276511289189166051E-35 Inexact Rounded
   282  logx1307 log10 1.000000000000000000000000000000000  -> 0
   283  logx1308 log10 1.0000000000000000000000000000000001 -> 4.342944819032518276511289189166051E-35 Inexact Rounded
   284  logx1309 log10 1.000000000000000000000000000000001  -> 4.342944819032518276511289189166049E-34 Inexact Rounded
   285  logx1310 log10 1.00000000000000000000000000000001   -> 4.342944819032518276511289189166029E-33 Inexact Rounded
   286  -- lower p
   287  precision:    7
   288  logx1320 log10 0.999999    -> -4.342947E-7  Inexact Rounded
   289  logx1321 log10 0.9999999   -> -4.342945E-8  Inexact Rounded
   290  logx1322 log10 0.99999999  -> -4.342945E-9  Inexact Rounded
   291  logx1323 log10 0.999999999 -> -4.342945E-10 Inexact Rounded
   292  logx1324 log10 1.00000000  ->  0
   293  logx1325 log10 1.00000001  ->  4.342945E-9  Inexact Rounded
   294  logx1326 log10 1.0000001   ->  4.342945E-8  Inexact Rounded
   295  logx1327 log10 1.000001    ->  4.342943E-7  Inexact Rounded
   296  
   297  -- near 10^3
   298  precision:   9
   299  logx1331 log10  999.9999998  -> 3.00000000 Inexact Rounded
   300  logx1332 log10  999.9999999  -> 3.00000000 Inexact Rounded
   301  logx1333 log10 1000.000000   -> 3
   302  logx1334 log10 1000.000001   -> 3.00000000 Inexact Rounded
   303  logx1335 log10 1000.000002   -> 3.00000000 Inexact Rounded
   304  precision: 16
   305  logx1341 log10  999.9999998  -> 2.999999999913141 Inexact Rounded
   306  logx1342 log10  999.9999999  -> 2.999999999956571 Inexact Rounded
   307  logx1343 log10 1000.000000   -> 3
   308  logx1344 log10 1000.000001   -> 3.000000000434294 Inexact Rounded
   309  logx1345 log10 1000.000002   -> 3.000000000868589 Inexact Rounded
   310  
   311  -- suggestions from Ilan Nehama
   312  logx1400 log10 10E-3    -> -2
   313  logx1401 log10 10E-2    -> -1
   314  logx1402 log10 100E-2   ->  0
   315  logx1403 log10 1000E-2  ->  1
   316  logx1404 log10 10000E-2 ->  2
   317  logx1405 log10 10E-1    ->  0
   318  logx1406 log10 100E-1   ->  1
   319  logx1407 log10 1000E-1  ->  2
   320  logx1408 log10 10000E-1 ->  3
   321  logx1409 log10 10E0     ->  1
   322  logx1410 log10 100E0    ->  2
   323  logx1411 log10 1000E0   ->  3
   324  logx1412 log10 10000E0  ->  4
   325  logx1413 log10 10E1     ->  2
   326  logx1414 log10 100E1    ->  3
   327  logx1415 log10 1000E1   ->  4
   328  logx1416 log10 10000E1  ->  5
   329  logx1417 log10 10E2     ->  3
   330  logx1418 log10 100E2    ->  4
   331  logx1419 log10 1000E2   ->  5
   332  logx1420 log10 10000E2  ->  6
   333  
   334  -- Randoms
   335  -- P=50, within 0-9999
   336  Precision: 50
   337  logx2501 log10 0.00035448001667968141775891246991912655961163345904 ->  -3.4504082425411775290864053318247274944685586188505 Inexact Rounded
   338  logx2502 log10 70.636455726424311228255338637935330826995136597644  ->   1.8490288998408492045793070255302335558140975719247 Inexact Rounded
   339  logx2503 log10 0.00000000000000233550362473821889060812804063040169 -> -14.631619454343834858023578299142866557717904223667 Inexact Rounded
   340  logx2504 log10 97.783628621523244679901260358286898958832135433764  ->   1.9902661493224219517897657964362571690592734407330 Inexact Rounded
   341  logx2505 log10 0062.2377135315858392802612812022807838599572017342  ->   1.7940536293085066199287632725026837018486533544141 Inexact Rounded
   342  logx2506 log10 6.3767634652071053619977602804724129652981747879532  ->   0.80460030789825961615100163576080761326857374098644 Inexact Rounded
   343  logx2507 log10 63.297088981313278529306533814195068850532666658798  ->   1.8013837373724427092417170149098614410849353839673 Inexact Rounded
   344  logx2508 log10 0.00000077239693316881797717820110898167721602299187 ->  -6.1121594592718550613773886241951966264826760310047 Inexact Rounded
   345  logx2509 log10 0.00000003953580359780185534830572461922527831395002 ->  -7.4030094293833847136252547069905477213541787177561 Inexact Rounded
   346  logx2510 log10 754.62905817369989169188998111527272688791544577204  ->   2.8777335243761300047758534304371912099958057545416 Inexact Rounded
   347  logx2511 log10 0.00000048360378410241428936607147056283282849158312 ->  -6.3155103095309353457604038397980091650760346334512 Inexact Rounded
   348  logx2512 log10 0.00007509037583645612577196104591672080542932166089 ->  -4.1244157219700166314012344705538088030592896111026 Inexact Rounded
   349  logx2513 log10 0.00000000000705475944638915053419839063567898092064 -> -11.151517790256466048553810002525868198178167950377 Inexact Rounded
   350  logx2514 log10 9.6210300460497657917445410947099633479609165120661  ->   0.98322157093260978206633922877716078683518617768411 Inexact Rounded
   351  logx2515 log10 0.00000000050150361386555527496607245976120864985611 ->  -9.2997259330798261040411086835563234390934934629340 Inexact Rounded
   352  logx2516 log10 098.24754029731994125797723545333677604490074810751  ->   1.9923216862874337077795278629351060819105679670633 Inexact Rounded
   353  logx2517 log10 7.5091998150046994320441463854301624742491015752980  ->   0.87559366078005924080766469158763499725414024128781 Inexact Rounded
   354  logx2518 log10 0.00000000000079540571273330075193668596942268542425 -> -12.099411294165176028817305108475326325006250936963 Inexact Rounded
   355  logx2519 log10 0.00000042395034799555215782907515074134154915491701 ->  -6.3726850039125381134069450802108893075604464135297 Inexact Rounded
   356  logx2520 log10 56.683376304674355481905023145238799909301732694982  ->   1.7534557107853480435703421826077606250636580091754 Inexact Rounded
   357  logx2521 log10 48.734033811444195070807606721517169810438049581227  ->   1.6878323602741065190942654710049433808208291564049 Inexact Rounded
   358  logx2522 log10 0.00074830310930046865009851706989430228561880221063 ->  -3.1259224502209974082223667712016445572431791920618 Inexact Rounded
   359  logx2523 log10 36.677348885111593384020836720396262497122708598359  ->   1.5643979364260796086754530282302605477567469395425 Inexact Rounded
   360  logx2524 log10 0.00000000000000004495678560480432858812419145833744 -> -16.347204748239740510014320630363244015916029619561 Inexact Rounded
   361  logx2525 log10 9509.5854013650642799374159131940108748594774307104  ->   3.9781615829916326741100166519726824430945406302661 Inexact Rounded
   362  logx2526 log10 0.07834891268689177014044454793608715276615743819097 ->  -1.1059670262197643147805517398621288897669876996348 Inexact Rounded
   363  logx2527 log10 0.00000029584529880706128444454688454999032801904794 ->  -6.5289353275814043710076526920566721570375026917206 Inexact Rounded
   364  logx2528 log10 3.0713496544497618098794332787772186176981011904294  ->   0.48732926103896828546424341029492468100431414072994 Inexact Rounded
   365  logx2529 log10 352.66392670788816474407442785460803833927136413943  ->   2.5473610388199562714709836398243933320284077008314 Inexact Rounded
   366  logx2530 log10 0.00304743125181876267210516527361742185617091801650 ->  -2.5160660830163981967774124745311497447050056400207 Inexact Rounded
   367  logx2531 log10 0.00000076120535894952136499250364604538117729437183 ->  -6.1184981629047051532448413863950776496652483019415 Inexact Rounded
   368  logx2532 log10 769.88795978534353052965286195053735007473187735815  ->   2.8864275277862652709986498581064117950288798222100 Inexact Rounded
   369  logx2533 log10 0.00000000000000041297494808612226304619570016336188 -> -15.384076292745415917510668454361868659468669804710 Inexact Rounded
   370  logx2534 log10 860.88864595714426940247940960258558876903741966974  ->   2.9349469800554277915920278090647283233440859155176 Inexact Rounded
   371  logx2535 log10 5839.0328812994787235900178587371051096898683972444  ->   3.7663409208972392569269125539438874737147906238543 Inexact Rounded
   372  logx2536 log10 0.00000028532710151284840471670497112821201598377841 ->  -6.5446569753514027675878879843238065488490618159490 Inexact Rounded
   373  logx2537 log10 0.00000000000000009734490059931638483445631835651581 -> -16.011686794011271135978633880864278692254243106931 Inexact Rounded
   374  logx2538 log10 5.8610949526439529489252302463450302981511714144330  ->   0.76797875722452549281028552067645732490929361952278 Inexact Rounded
   375  logx2539 log10 6.6282432221115923372151148990137179611977576327206  ->   0.82139843639227213211012044000785757267155736071361 Inexact Rounded
   376  logx2540 log10 0.00000000001994071862386846626954819923923344413454 -> -10.700259194632339980266559224447212260115021637626 Inexact Rounded
   377  
   378  -- P=34, within 0-9999
   379  Precision: 34
   380  logx2201 log10 1.522513203889714179088327328864183  -> 0.1825610677098896250496651330492109 Inexact Rounded
   381  logx2202 log10 0.171123774769717316154080888930404  -> -0.7666896483548462582461898092764408 Inexact Rounded
   382  logx2203 log10 0.0000000997467236251714283104963838 -> -7.001101360652518274271569010312115 Inexact Rounded
   383  logx2204 log10 0.0008856103624122479769647543468633 -> -3.052757310476070891830490327138190 Inexact Rounded
   384  logx2205 log10 1.938274868738032930709498221236758  -> 0.2874153648259449520201536171714594 Inexact Rounded
   385  logx2206 log10 479.5667847823826713082613445010097  -> 2.680849095850361068709165157286435 Inexact Rounded
   386  logx2207 log10 8856.136599178820202141823157336804  -> 3.947244306584767101480454261950559 Inexact Rounded
   387  logx2208 log10 0.0000911026318801903982642871344858 -> -4.040469076434979398438617464033826 Inexact Rounded
   388  logx2209 log10 0.0000000000017271112650427414732630 -> -11.76267968314038748995178212654921 Inexact Rounded
   389  logx2210 log10 6.962605370078885647639503548229695  -> 0.8427717807200322352686396925992250 Inexact Rounded
   390  logx2211 log10 0.3354804428992793132855923541692781 -> -0.4743327923012159170967636070844834 Inexact Rounded
   391  logx2212 log10 2.079864257474859008252165836663504  -> 0.3180349916198059046812506741388856 Inexact Rounded
   392  logx2213 log10 2805.479529292939499220276986621988  -> 3.448007104139974344565978780624744 Inexact Rounded
   393  logx2214 log10 66.45731133034187374557028537213949  -> 1.822542767005644041661520936223086 Inexact Rounded
   394  logx2215 log10 0.0000001206521261762681738274822835 -> -6.918465020390216969561494755767318 Inexact Rounded
   395  logx2216 log10 0.0000000001884891916264401160472381 -> -9.724713548119065386091933007528633 Inexact Rounded
   396  logx2217 log10 0.0000015467279551726326581314582759 -> -5.810586065070435383755759514608738 Inexact Rounded
   397  logx2218 log10 0.0090776316728068586744633914135952 -> -2.042027442843745884503280954390114 Inexact Rounded
   398  logx2219 log10 0.0000000000024541106528713393740030 -> -11.61010585935635713090119156069479 Inexact Rounded
   399  logx2220 log10 14.12936879385863410081087750645856  -> 1.150122760895466989841057385742662 Inexact Rounded
   400  logx2221 log10 0.0000036912481831392922922647231392 -> -5.432826753789892283556211380824203 Inexact Rounded
   401  logx2222 log10 0.0000000004067477525420424270138734 -> -9.390674838050073122857868012475060 Inexact Rounded
   402  logx2223 log10 7080.122562705399744969319589806194  -> 3.850040775747103318724330047546916 Inexact Rounded
   403  logx2224 log10 261.3491411363679209175524790255725  -> 2.417221077227536319655699517530855 Inexact Rounded
   404  logx2225 log10 003.9945581449915240094728380041494  -> 0.6014687471531988260823066997845691 Inexact Rounded
   405  logx2226 log10 0.0000000000583549164588495206767840 -> -10.23392254834182677023231713519341 Inexact Rounded
   406  logx2227 log10 9567.961832607240278342761088487484  -> 3.980819434211107631569386147016368 Inexact Rounded
   407  logx2228 log10 06.26592979160342972777219828867033  -> 0.7969855243966221408595024012574729 Inexact Rounded
   408  logx2229 log10 0.0000000000589847046598067273287319 -> -10.22926059078206218717755253582907 Inexact Rounded
   409  logx2230 log10 567.9388648235589204769442863724997  -> 2.754301589058313576472380262907638 Inexact Rounded
   410  logx2231 log10 039.7790325480037778918162264883415  -> 1.599654216592019199639285308997886 Inexact Rounded
   411  logx2232 log10 0.0000000005123951921894162149817207 -> -9.290394953898862694847327137242690 Inexact Rounded
   412  logx2233 log10 0.0000000000038500999723636904276723 -> -11.41452799337924056186867324854691 Inexact Rounded
   413  logx2234 log10 0.0006726500658977759825616537935864 -> -3.172210810922768725687671849421792 Inexact Rounded
   414  logx2235 log10 260.2400250475967528429943779126507  -> 2.415374092073799204236801383070064 Inexact Rounded
   415  logx2236 log10 0.0000000006101942339385102585042548 -> -9.214531900562046557191261226632509 Inexact Rounded
   416  logx2237 log10 0.0000000010846867501382746760066557 -> -8.964695664883282406359874242387236 Inexact Rounded
   417  logx2238 log10 60.24078375568814769010333711509928  -> 1.779890613567084253168373266648922 Inexact Rounded
   418  logx2239 log10 0.0012058738711757669337600252986093 -> -2.918698115012605915753728220896010 Inexact Rounded
   419  logx2240 log10 230.9450930197841600611503095185600  -> 2.363508739056822846742942599628966 Inexact Rounded
   420  
   421  -- P=16, within 0-999
   422  Precision: 16
   423  logx2101 log10 0.0072067119605184 -> -2.142262835573038 Inexact Rounded
   424  logx2102 log10 503.6828482226624  -> 2.702157162195652 Inexact Rounded
   425  logx2103 log10 64.96074447821815  -> 1.812650993464174 Inexact Rounded
   426  logx2104 log10 48.75408597467246  -> 1.688011018842600 Inexact Rounded
   427  logx2105 log10 0.0329009839269587 -> -1.482791113975280 Inexact Rounded
   428  logx2106 log10 223.5320415060633  -> 2.349339784523410 Inexact Rounded
   429  logx2107 log10 73.12765002292194  -> 1.864081617476268 Inexact Rounded
   430  logx2108 log10 487.3749378358509  -> 2.687863192802252 Inexact Rounded
   431  logx2109 log10 0.0000019671987621 -> -5.706151757557926 Inexact Rounded
   432  logx2110 log10 0.0570680660609784 -> -1.243606844697873 Inexact Rounded
   433  logx2111 log10 33.10311638788998  -> 1.519868880976773 Inexact Rounded
   434  logx2112 log10 0.0687382699187077 -> -1.162801402868185 Inexact Rounded
   435  logx2113 log10 258.9416193626484  -> 2.413201859654145 Inexact Rounded
   436  logx2114 log10 0.0005306100136736 -> -3.275224558269725 Inexact Rounded
   437  logx2115 log10 65.78490393408572  -> 1.818126244825109 Inexact Rounded
   438  logx2116 log10 504.2328842073510  -> 2.702631165346958 Inexact Rounded
   439  logx2117 log10 9.417432755815027  -> 0.9739325278524503 Inexact Rounded
   440  logx2118 log10 006.7054835355498  -> 0.8264301004947640 Inexact Rounded
   441  logx2119 log10 0.0917012272363915 -> -1.037624852133399 Inexact Rounded
   442  logx2120 log10 5.959404385244921  -> 0.7752028561953401 Inexact Rounded
   443  logx2121 log10 0.0001209759148486 -> -3.917301084968903 Inexact Rounded
   444  logx2122 log10 0.0004706112139838 -> -3.327337728428039 Inexact Rounded
   445  logx2123 log10 0.0069700457377046 -> -2.156764372035771 Inexact Rounded
   446  logx2124 log10 0.5155584569852619 -> -0.2877220847805025 Inexact Rounded
   447  logx2125 log10 88.06005885607414  -> 1.944778971389913 Inexact Rounded
   448  logx2126 log10 0.0448240038219866 -> -1.348489353509709 Inexact Rounded
   449  logx2127 log10 3.419622484059565  -> 0.5339781639101145 Inexact Rounded
   450  logx2128 log10 5.171123353858721  -> 0.7135848977142854 Inexact Rounded
   451  logx2129 log10 0.0002133188319807 -> -3.670970802945872 Inexact Rounded
   452  logx2130 log10 46.21086703136966  -> 1.664744117045149 Inexact Rounded
   453  logx2131 log10 0.0000631053714415 -> -4.199933672639880 Inexact Rounded
   454  logx2132 log10 78.66019196870698  -> 1.895755001962469 Inexact Rounded
   455  logx2133 log10 0.0007152278351188 -> -3.145555592082297 Inexact Rounded
   456  logx2134 log10 45.52509819928536  -> 1.658250891256892 Inexact Rounded
   457  logx2135 log10 0.0000703227795740 -> -4.152903971697183 Inexact Rounded
   458  logx2136 log10 26.24438641426669  -> 1.419036423550599 Inexact Rounded
   459  logx2137 log10 0.0000044654829535 -> -5.350131564166817 Inexact Rounded
   460  logx2138 log10 0.7360702733062529 -> -0.1330807211893611 Inexact Rounded
   461  logx2139 log10 8.417059176469655  -> 0.9251603805112778 Inexact Rounded
   462  logx2140 log10 0.0002926570767968 -> -3.533640969664818 Inexact Rounded
   463  
   464  -- P=7, within 0-99
   465  Precision: 7
   466  logx2001 log10 57.26089  -> 1.757858 Inexact Rounded
   467  logx2002 log10 0.0575421 -> -1.240014 Inexact Rounded
   468  logx2003 log10 0.5918465 -> -0.2277909 Inexact Rounded
   469  logx2004 log10 0.0068776 -> -2.162563 Inexact Rounded
   470  logx2005 log10 0.0066833 -> -2.175009 Inexact Rounded
   471  logx2006 log10 9.926963  -> 0.9968164 Inexact Rounded
   472  logx2007 log10 0.0041852 -> -2.378284 Inexact Rounded
   473  logx2008 log10 84.15412  -> 1.925075 Inexact Rounded
   474  logx2009 log10 2.466856  -> 0.3921438 Inexact Rounded
   475  logx2010 log10 0.0058047 -> -2.236220 Inexact Rounded
   476  logx2011 log10 9.885154  -> 0.9949834 Inexact Rounded
   477  logx2012 log10 0.6667654 -> -0.1760269 Inexact Rounded
   478  logx2013 log10 34.65736  -> 1.539795 Inexact Rounded
   479  logx2014 log10 0.0026884 -> -2.570506 Inexact Rounded
   480  logx2015 log10 0.0432767 -> -1.363746 Inexact Rounded
   481  logx2016 log10 66.01407  -> 1.819637 Inexact Rounded
   482  logx2017 log10 0.0070572 -> -2.151368 Inexact Rounded
   483  logx2018 log10 0.0731613 -> -1.135719 Inexact Rounded
   484  logx2019 log10 9.838983  -> 0.9929502 Inexact Rounded
   485  logx2020 log10 15.89696  -> 1.201314 Inexact Rounded
   486  logx2021 log10 8.459247  -> 0.9273317 Inexact Rounded
   487  logx2022 log10 0.0010873 -> -2.963651 Inexact Rounded
   488  logx2023 log10 0.6498619 -> -0.1871789 Inexact Rounded
   489  logx2024 log10 0.0847008 -> -1.072112 Inexact Rounded
   490  logx2025 log10 0.0075489 -> -2.122116 Inexact Rounded
   491  logx2026 log10 51.11152  -> 1.708519 Inexact Rounded
   492  logx2027 log10 0.7233866 -> -0.1406295 Inexact Rounded
   493  logx2028 log10 2.254721  -> 0.3530928 Inexact Rounded
   494  logx2029 log10 6.568444  -> 0.8174625 Inexact Rounded
   495  logx2030 log10 83.72639  -> 1.922862 Inexact Rounded
   496  logx2031 log10 6.720585  -> 0.8274071 Inexact Rounded
   497  logx2032 log10 87.90366  -> 1.944007 Inexact Rounded
   498  logx2033 log10 0.0433324 -> -1.363187 Inexact Rounded
   499  logx2034 log10 34.63912  -> 1.539567 Inexact Rounded
   500  logx2035 log10 0.8089059 -> -0.09210200 Inexact Rounded
   501  logx2036 log10 7.793405  -> 0.8917272 Inexact Rounded
   502  logx2037 log10 0.0041757 -> -2.379271 Inexact Rounded
   503  logx2038 log10 7.135417  -> 0.8534194 Inexact Rounded
   504  logx2039 log10 12.49570  -> 1.096761 Inexact Rounded
   505  logx2040 log10 6.356276  -> 0.8032027 Inexact Rounded
   506  
   507  --------
   508  maxExponent: 384
   509  minExponent: -383
   510  precision:   16
   511  rounding:    half_even
   512  
   513  -- special values
   514  logx820  log10   Infinity ->   Infinity
   515  logx821  log10   0        ->  -Infinity
   516  logx822  log10   NaN      ->   NaN
   517  logx823  log10   sNaN     ->   NaN     Invalid_operation
   518  -- propagating NaNs
   519  logx824  log10   sNaN123  ->   NaN123  Invalid_operation
   520  logx825  log10   -sNaN321 ->  -NaN321  Invalid_operation
   521  logx826  log10   NaN456   ->   NaN456
   522  logx827  log10   -NaN654  ->  -NaN654
   523  logx828  log10   NaN1     ->   NaN1
   524  
   525  
   526  -- Invalid operations due to restrictions
   527  -- [next two probably skipped by most test harnesses]
   528  precision: 100000000
   529  logx901  log10 1 ->  NaN            Invalid_context
   530  precision:  99999999
   531  logx902  log10 0 ->  NaN            Invalid_context
   532  
   533  precision: 9
   534  maxExponent:   1000000
   535  minExponent:   -999999
   536  logx903  log10 1   ->  NaN            Invalid_context
   537  maxExponent:    999999
   538  minExponent:   -999999
   539  logx904  log10 0 ->  -Infinity
   540  maxExponent:    999999
   541  minExponent:  -1000000
   542  logx905  log10 1   ->  NaN            Invalid_context
   543  maxExponent:    999999
   544  minExponent:   -999998
   545  logx906  log10 0 ->  -Infinity
   546  
   547  -- Null test
   548  logx900  log10 #   -> NaN Invalid_operation
   549  
   550