1 ------------------------------------------------------------------------ 2 -- log10.decTest -- decimal logarithm in base 10 -- 3 -- Copyright (c) IBM Corporation, 2005, 2008. All rights reserved. -- 4 ------------------------------------------------------------------------ 5 -- Please see the document "General Decimal Arithmetic Testcases" -- 6 -- at http://www2.hursley.ibm.com/decimal for the description of -- 7 -- these testcases. -- 8 -- -- 9 -- These testcases are experimental ('beta' versions), and they -- 10 -- may contain errors. They are offered on an as-is basis. In -- 11 -- particular, achieving the same results as the tests here is not -- 12 -- a guarantee that an implementation complies with any Standard -- 13 -- or specification. The tests are not exhaustive. -- 14 -- -- 15 -- Please send comments, suggestions, and corrections to the author: -- 16 -- Mike Cowlishaw, IBM Fellow -- 17 -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- 18 -- mfc (a] uk.ibm.com -- 19 ------------------------------------------------------------------------ 20 version: 2.59 21 22 -- This emphasises the testing of notable cases, as they will often 23 -- have unusual paths (especially the 10**n results). 24 25 extended: 1 26 precision: 16 27 rounding: half_even 28 maxExponent: 384 29 minexponent: -383 30 31 -- examples in specification 32 precision: 9 33 logxs000 log10 0 -> -Infinity 34 logxs001 log10 0.001 -> -3 35 logxs002 log10 1 -> 0 36 logxs003 log10 2 -> 0.301029996 Inexact Rounded 37 logxs004 log10 10 -> 1 38 logxs005 log10 70 -> 1.84509804 Inexact Rounded 39 logxs006 log10 +Infinity -> Infinity 40 41 42 -- basics (examples in specification, etc.) 43 precision: 16 44 logx0000 log10 0 -> -Infinity 45 logx0001 log10 7E-1000 -> -999.1549019599857 Inexact Rounded 46 logx0002 log10 1.1E-9 -> -8.958607314841775 Inexact Rounded 47 logx0003 log10 0.0007 -> -3.154901959985743 Inexact Rounded 48 logx0004 log10 0.11 -> -0.9586073148417750 Inexact Rounded 49 logx0005 log10 0.7 -> -0.1549019599857432 Inexact Rounded 50 logx0006 log10 1 -> 0 51 logx0007 log10 1.5 -> 0.1760912590556812 Inexact Rounded 52 logx0008 log10 2 -> 0.3010299956639812 Inexact Rounded 53 logx0009 log10 2.718281828459045 -> 0.4342944819032518 Inexact Rounded 54 logx0010 log10 2.718281828459046 -> 0.4342944819032519 Inexact Rounded 55 logx0011 log10 2.718281828459047 -> 0.4342944819032521 Inexact Rounded 56 logx0012 log10 7 -> 0.8450980400142568 Inexact Rounded 57 logx0013 log10 10 -> 1 58 logx0014 log10 10.5 -> 1.021189299069938 Inexact Rounded 59 logx0015 log10 11 -> 1.041392685158225 Inexact Rounded 60 logx0016 log10 70 -> 1.845098040014257 Inexact Rounded 61 logx0017 log10 9999 -> 3.999956568380192 Inexact Rounded 62 logx0018 log10 1.21E6 -> 6.082785370316450 Inexact Rounded 63 logx0019 log10 1.1E+9 -> 9.041392685158225 Inexact Rounded 64 logx0020 log10 7E+1000 -> 1000.845098040014 Inexact Rounded 65 logx0021 log10 +Infinity -> Infinity 66 67 -- notable cases 68 -- negatives 69 logx0031 log10 -1E-9 -> NaN Invalid_operation 70 logx0032 log10 -0.0007 -> NaN Invalid_operation 71 logx0033 log10 -0.1 -> NaN Invalid_operation 72 logx0034 log10 -0.7 -> NaN Invalid_operation 73 logx0035 log10 -1 -> NaN Invalid_operation 74 logx0036 log10 -1.5 -> NaN Invalid_operation 75 logx0037 log10 -2 -> NaN Invalid_operation 76 logx0038 log10 -10.5 -> NaN Invalid_operation 77 logx0039 log10 -10.5 -> NaN Invalid_operation 78 logx0040 log10 -9999 -> NaN Invalid_operation 79 logx0041 log10 -10 -> NaN Invalid_operation 80 logx0042 log10 -0 -> -Infinity 81 logx0043 log10 -0E+17 -> -Infinity 82 logx0044 log10 -0E-17 -> -Infinity 83 -- other zeros 84 logx0051 log10 0 -> -Infinity 85 logx0052 log10 0E+17 -> -Infinity 86 logx0053 log10 0E-17 -> -Infinity 87 -- infinities 88 logx0055 log10 -Infinity -> NaN Invalid_operation 89 logx0056 log10 +Infinity -> Infinity 90 -- ones 91 logx0061 log10 1 -> 0 92 logx0062 log10 1.0 -> 0 93 logx0063 log10 1.000000000000000 -> 0 94 logx0064 log10 1.000000000000000000 -> 0 95 96 -- notable cases -- exact powers of 10 97 logx1100 log10 1 -> 0 98 logx1101 log10 10 -> 1 99 logx1102 log10 100 -> 2 100 logx1103 log10 1000 -> 3 101 logx1104 log10 10000 -> 4 102 logx1105 log10 100000 -> 5 103 logx1106 log10 1000000 -> 6 104 logx1107 log10 10000000 -> 7 105 logx1108 log10 100000000 -> 8 106 logx1109 log10 1000000000 -> 9 107 logx1110 log10 10000000000 -> 10 108 logx1111 log10 100000000000 -> 11 109 logx1112 log10 1000000000000 -> 12 110 logx1113 log10 0.00000000001 -> -11 111 logx1114 log10 0.0000000001 -> -10 112 logx1115 log10 0.000000001 -> -9 113 logx1116 log10 0.00000001 -> -8 114 logx1117 log10 0.0000001 -> -7 115 logx1118 log10 0.000001 -> -6 116 logx1119 log10 0.00001 -> -5 117 logx1120 log10 0.0001 -> -4 118 logx1121 log10 0.001 -> -3 119 logx1122 log10 0.01 -> -2 120 logx1123 log10 0.1 -> -1 121 logx1124 log10 1E-99 -> -99 122 logx1125 log10 1E-100 -> -100 123 logx1126 log10 1E-383 -> -383 124 125 -- check normally exact cases round properly 126 precision: 1 127 logx1141 log10 10000000000 -> 1E+1 Rounded 128 logx1142 log10 1000000000000 -> 1E+1 Inexact Rounded 129 logx1143 log10 1E+100 -> 1E+2 Rounded 130 logx1144 log10 1E+123 -> 1E+2 Inexact Rounded 131 logx1145 log10 1E+126 -> 1E+2 Inexact Rounded 132 logx1146 log10 1E+916 -> 9E+2 Inexact Rounded 133 logx1147 log10 1E+999 -> 1E+3 Inexact Rounded 134 135 precision: 2 136 logx1151 log10 10000000000 -> 10 137 logx1152 log10 1000000000000 -> 12 138 logx1153 log10 1E+100 -> 1.0E+2 Rounded 139 logx1154 log10 1E+123 -> 1.2E+2 Inexact Rounded 140 logx1155 log10 1E+126 -> 1.3E+2 Inexact Rounded 141 logx1156 log10 1E+916 -> 9.2E+2 Inexact Rounded 142 logx1157 log10 1E+999 -> 1.0E+3 Inexact Rounded 143 -- some half-way point rounds, other cases, and negatives 144 logx1158 log10 1E+125 -> 1.2E+2 Inexact Rounded 145 logx1159 log10 1E+135 -> 1.4E+2 Inexact Rounded 146 logx1160 log10 1E+129 -> 1.3E+2 Inexact Rounded 147 logx1161 log10 1E+131 -> 1.3E+2 Inexact Rounded 148 logx1162 log10 1E-123 -> -1.2E+2 Inexact Rounded 149 logx1163 log10 1E-126 -> -1.3E+2 Inexact Rounded 150 logx1164 log10 1E-916 -> -9.2E+2 Inexact Rounded 151 logx1165 log10 1E-999 -> -1.0E+3 Inexact Rounded 152 logx1166 log10 1E-125 -> -1.2E+2 Inexact Rounded 153 logx1167 log10 1E-135 -> -1.4E+2 Inexact Rounded 154 logx1168 log10 1E-129 -> -1.3E+2 Inexact Rounded 155 logx1169 log10 1E-131 -> -1.3E+2 Inexact Rounded 156 157 precision: 3 158 logx1171 log10 10000000000 -> 10 159 logx1172 log10 1000000000000 -> 12 160 logx1173 log10 1E+100 -> 100 161 logx1174 log10 1E+123 -> 123 162 logx1175 log10 1E+126 -> 126 163 logx1176 log10 1E+916 -> 916 164 logx1177 log10 1E+999 -> 999 165 166 -- log10(2) .. tests both ln(2) and ln(10) constants, too 167 precision: 50 168 logx1201 log10 2 -> 0.30102999566398119521373889472449302676818988146211 Inexact Rounded 169 logx1202 log10 2.000 -> 0.30102999566398119521373889472449302676818988146211 Inexact Rounded 170 logx1203 log10 0.2E1 -> 0.30102999566398119521373889472449302676818988146211 Inexact Rounded 171 precision: 49 172 logx1204 log10 2 -> 0.3010299956639811952137388947244930267681898814621 Inexact Rounded 173 precision: 48 174 logx1205 log10 2 -> 0.301029995663981195213738894724493026768189881462 Inexact Rounded 175 precision: 47 176 logx1206 log10 2 -> 0.30102999566398119521373889472449302676818988146 Inexact Rounded 177 precision: 46 178 logx1207 log10 2 -> 0.3010299956639811952137388947244930267681898815 Inexact Rounded 179 precision: 45 180 logx1208 log10 2 -> 0.301029995663981195213738894724493026768189881 Inexact Rounded 181 precision: 44 182 logx1209 log10 2 -> 0.30102999566398119521373889472449302676818988 Inexact Rounded 183 precision: 43 184 logx1210 log10 2 -> 0.3010299956639811952137388947244930267681899 Inexact Rounded 185 precision: 42 186 logx1211 log10 2 -> 0.301029995663981195213738894724493026768190 Inexact Rounded 187 precision: 41 188 logx1212 log10 2 -> 0.30102999566398119521373889472449302676819 Inexact Rounded 189 precision: 40 190 logx1213 log10 2 -> 0.3010299956639811952137388947244930267682 Inexact Rounded 191 precision: 39 192 logx1214 log10 2 -> 0.301029995663981195213738894724493026768 Inexact Rounded 193 precision: 38 194 logx1215 log10 2 -> 0.30102999566398119521373889472449302677 Inexact Rounded 195 precision: 37 196 logx1216 log10 2 -> 0.3010299956639811952137388947244930268 Inexact Rounded 197 precision: 36 198 logx1217 log10 2 -> 0.301029995663981195213738894724493027 Inexact Rounded 199 precision: 35 200 logx1218 log10 2 -> 0.30102999566398119521373889472449303 Inexact Rounded 201 precision: 34 202 logx1219 log10 2 -> 0.3010299956639811952137388947244930 Inexact Rounded 203 precision: 33 204 logx1220 log10 2 -> 0.301029995663981195213738894724493 Inexact Rounded 205 precision: 32 206 logx1221 log10 2 -> 0.30102999566398119521373889472449 Inexact Rounded 207 precision: 31 208 logx1222 log10 2 -> 0.3010299956639811952137388947245 Inexact Rounded 209 precision: 30 210 logx1223 log10 2 -> 0.301029995663981195213738894724 Inexact Rounded 211 precision: 29 212 logx1224 log10 2 -> 0.30102999566398119521373889472 Inexact Rounded 213 precision: 28 214 logx1225 log10 2 -> 0.3010299956639811952137388947 Inexact Rounded 215 precision: 27 216 logx1226 log10 2 -> 0.301029995663981195213738895 Inexact Rounded 217 precision: 26 218 logx1227 log10 2 -> 0.30102999566398119521373889 Inexact Rounded 219 precision: 25 220 logx1228 log10 2 -> 0.3010299956639811952137389 Inexact Rounded 221 precision: 24 222 logx1229 log10 2 -> 0.301029995663981195213739 Inexact Rounded 223 precision: 23 224 logx1230 log10 2 -> 0.30102999566398119521374 Inexact Rounded 225 precision: 22 226 logx1231 log10 2 -> 0.3010299956639811952137 Inexact Rounded 227 precision: 21 228 logx1232 log10 2 -> 0.301029995663981195214 Inexact Rounded 229 precision: 20 230 logx1233 log10 2 -> 0.30102999566398119521 Inexact Rounded 231 precision: 19 232 logx1234 log10 2 -> 0.3010299956639811952 Inexact Rounded 233 precision: 18 234 logx1235 log10 2 -> 0.301029995663981195 Inexact Rounded 235 precision: 17 236 logx1236 log10 2 -> 0.30102999566398120 Inexact Rounded 237 precision: 16 238 logx1237 log10 2 -> 0.3010299956639812 Inexact Rounded 239 precision: 15 240 logx1238 log10 2 -> 0.301029995663981 Inexact Rounded 241 precision: 14 242 logx1239 log10 2 -> 0.30102999566398 Inexact Rounded 243 precision: 13 244 logx1240 log10 2 -> 0.3010299956640 Inexact Rounded 245 precision: 12 246 logx1241 log10 2 -> 0.301029995664 Inexact Rounded 247 precision: 11 248 logx1242 log10 2 -> 0.30102999566 Inexact Rounded 249 precision: 10 250 logx1243 log10 2 -> 0.3010299957 Inexact Rounded 251 precision: 9 252 logx1244 log10 2 -> 0.301029996 Inexact Rounded 253 precision: 8 254 logx1245 log10 2 -> 0.30103000 Inexact Rounded 255 precision: 7 256 logx1246 log10 2 -> 0.3010300 Inexact Rounded 257 precision: 6 258 logx1247 log10 2 -> 0.301030 Inexact Rounded 259 precision: 5 260 logx1248 log10 2 -> 0.30103 Inexact Rounded 261 precision: 4 262 logx1249 log10 2 -> 0.3010 Inexact Rounded 263 precision: 3 264 logx1250 log10 2 -> 0.301 Inexact Rounded 265 precision: 2 266 logx1251 log10 2 -> 0.30 Inexact Rounded 267 precision: 1 268 logx1252 log10 2 -> 0.3 Inexact Rounded 269 270 maxExponent: 384 271 minExponent: -383 272 precision: 16 273 rounding: half_even 274 275 -- More close-to-e, etc., tests 276 precision: 34 277 logx1301 log10 2.718281828459045235360287471352661 -> 0.4342944819032518276511289189166048 Inexact Rounded 278 logx1302 log10 2.718281828459045235360287471352662 -> 0.4342944819032518276511289189166050 Inexact Rounded 279 logx1303 log10 2.718281828459045235360287471352663 -> 0.4342944819032518276511289189166052 Inexact Rounded 280 logx1304 log10 0.99999999999999999999999999999999 -> -4.342944819032518276511289189166073E-33 Inexact Rounded 281 logx1305 log10 0.999999999999999999999999999999999 -> -4.342944819032518276511289189166053E-34 Inexact Rounded 282 logx1306 log10 0.9999999999999999999999999999999999 -> -4.342944819032518276511289189166051E-35 Inexact Rounded 283 logx1307 log10 1.000000000000000000000000000000000 -> 0 284 logx1308 log10 1.0000000000000000000000000000000001 -> 4.342944819032518276511289189166051E-35 Inexact Rounded 285 logx1309 log10 1.000000000000000000000000000000001 -> 4.342944819032518276511289189166049E-34 Inexact Rounded 286 logx1310 log10 1.00000000000000000000000000000001 -> 4.342944819032518276511289189166029E-33 Inexact Rounded 287 -- lower p 288 precision: 7 289 logx1320 log10 0.999999 -> -4.342947E-7 Inexact Rounded 290 logx1321 log10 0.9999999 -> -4.342945E-8 Inexact Rounded 291 logx1322 log10 0.99999999 -> -4.342945E-9 Inexact Rounded 292 logx1323 log10 0.999999999 -> -4.342945E-10 Inexact Rounded 293 logx1324 log10 1.00000000 -> 0 294 logx1325 log10 1.00000001 -> 4.342945E-9 Inexact Rounded 295 logx1326 log10 1.0000001 -> 4.342945E-8 Inexact Rounded 296 logx1327 log10 1.000001 -> 4.342943E-7 Inexact Rounded 297 298 -- near 10^3 299 precision: 9 300 logx1331 log10 999.9999998 -> 3.00000000 Inexact Rounded 301 logx1332 log10 999.9999999 -> 3.00000000 Inexact Rounded 302 logx1333 log10 1000.000000 -> 3 303 logx1334 log10 1000.000001 -> 3.00000000 Inexact Rounded 304 logx1335 log10 1000.000002 -> 3.00000000 Inexact Rounded 305 precision: 16 306 logx1341 log10 999.9999998 -> 2.999999999913141 Inexact Rounded 307 logx1342 log10 999.9999999 -> 2.999999999956571 Inexact Rounded 308 logx1343 log10 1000.000000 -> 3 309 logx1344 log10 1000.000001 -> 3.000000000434294 Inexact Rounded 310 logx1345 log10 1000.000002 -> 3.000000000868589 Inexact Rounded 311 312 -- suggestions from Ilan Nehama 313 logx1400 log10 10E-3 -> -2 314 logx1401 log10 10E-2 -> -1 315 logx1402 log10 100E-2 -> 0 316 logx1403 log10 1000E-2 -> 1 317 logx1404 log10 10000E-2 -> 2 318 logx1405 log10 10E-1 -> 0 319 logx1406 log10 100E-1 -> 1 320 logx1407 log10 1000E-1 -> 2 321 logx1408 log10 10000E-1 -> 3 322 logx1409 log10 10E0 -> 1 323 logx1410 log10 100E0 -> 2 324 logx1411 log10 1000E0 -> 3 325 logx1412 log10 10000E0 -> 4 326 logx1413 log10 10E1 -> 2 327 logx1414 log10 100E1 -> 3 328 logx1415 log10 1000E1 -> 4 329 logx1416 log10 10000E1 -> 5 330 logx1417 log10 10E2 -> 3 331 logx1418 log10 100E2 -> 4 332 logx1419 log10 1000E2 -> 5 333 logx1420 log10 10000E2 -> 6 334 335 -- Randoms 336 -- P=50, within 0-9999 337 Precision: 50 338 logx2501 log10 0.00035448001667968141775891246991912655961163345904 -> -3.4504082425411775290864053318247274944685586188505 Inexact Rounded 339 logx2502 log10 70.636455726424311228255338637935330826995136597644 -> 1.8490288998408492045793070255302335558140975719247 Inexact Rounded 340 logx2503 log10 0.00000000000000233550362473821889060812804063040169 -> -14.631619454343834858023578299142866557717904223667 Inexact Rounded 341 logx2504 log10 97.783628621523244679901260358286898958832135433764 -> 1.9902661493224219517897657964362571690592734407330 Inexact Rounded 342 logx2505 log10 0062.2377135315858392802612812022807838599572017342 -> 1.7940536293085066199287632725026837018486533544141 Inexact Rounded 343 logx2506 log10 6.3767634652071053619977602804724129652981747879532 -> 0.80460030789825961615100163576080761326857374098644 Inexact Rounded 344 logx2507 log10 63.297088981313278529306533814195068850532666658798 -> 1.8013837373724427092417170149098614410849353839673 Inexact Rounded 345 logx2508 log10 0.00000077239693316881797717820110898167721602299187 -> -6.1121594592718550613773886241951966264826760310047 Inexact Rounded 346 logx2509 log10 0.00000003953580359780185534830572461922527831395002 -> -7.4030094293833847136252547069905477213541787177561 Inexact Rounded 347 logx2510 log10 754.62905817369989169188998111527272688791544577204 -> 2.8777335243761300047758534304371912099958057545416 Inexact Rounded 348 logx2511 log10 0.00000048360378410241428936607147056283282849158312 -> -6.3155103095309353457604038397980091650760346334512 Inexact Rounded 349 logx2512 log10 0.00007509037583645612577196104591672080542932166089 -> -4.1244157219700166314012344705538088030592896111026 Inexact Rounded 350 logx2513 log10 0.00000000000705475944638915053419839063567898092064 -> -11.151517790256466048553810002525868198178167950377 Inexact Rounded 351 logx2514 log10 9.6210300460497657917445410947099633479609165120661 -> 0.98322157093260978206633922877716078683518617768411 Inexact Rounded 352 logx2515 log10 0.00000000050150361386555527496607245976120864985611 -> -9.2997259330798261040411086835563234390934934629340 Inexact Rounded 353 logx2516 log10 098.24754029731994125797723545333677604490074810751 -> 1.9923216862874337077795278629351060819105679670633 Inexact Rounded 354 logx2517 log10 7.5091998150046994320441463854301624742491015752980 -> 0.87559366078005924080766469158763499725414024128781 Inexact Rounded 355 logx2518 log10 0.00000000000079540571273330075193668596942268542425 -> -12.099411294165176028817305108475326325006250936963 Inexact Rounded 356 logx2519 log10 0.00000042395034799555215782907515074134154915491701 -> -6.3726850039125381134069450802108893075604464135297 Inexact Rounded 357 logx2520 log10 56.683376304674355481905023145238799909301732694982 -> 1.7534557107853480435703421826077606250636580091754 Inexact Rounded 358 logx2521 log10 48.734033811444195070807606721517169810438049581227 -> 1.6878323602741065190942654710049433808208291564049 Inexact Rounded 359 logx2522 log10 0.00074830310930046865009851706989430228561880221063 -> -3.1259224502209974082223667712016445572431791920618 Inexact Rounded 360 logx2523 log10 36.677348885111593384020836720396262497122708598359 -> 1.5643979364260796086754530282302605477567469395425 Inexact Rounded 361 logx2524 log10 0.00000000000000004495678560480432858812419145833744 -> -16.347204748239740510014320630363244015916029619561 Inexact Rounded 362 logx2525 log10 9509.5854013650642799374159131940108748594774307104 -> 3.9781615829916326741100166519726824430945406302661 Inexact Rounded 363 logx2526 log10 0.07834891268689177014044454793608715276615743819097 -> -1.1059670262197643147805517398621288897669876996348 Inexact Rounded 364 logx2527 log10 0.00000029584529880706128444454688454999032801904794 -> -6.5289353275814043710076526920566721570375026917206 Inexact Rounded 365 logx2528 log10 3.0713496544497618098794332787772186176981011904294 -> 0.48732926103896828546424341029492468100431414072994 Inexact Rounded 366 logx2529 log10 352.66392670788816474407442785460803833927136413943 -> 2.5473610388199562714709836398243933320284077008314 Inexact Rounded 367 logx2530 log10 0.00304743125181876267210516527361742185617091801650 -> -2.5160660830163981967774124745311497447050056400207 Inexact Rounded 368 logx2531 log10 0.00000076120535894952136499250364604538117729437183 -> -6.1184981629047051532448413863950776496652483019415 Inexact Rounded 369 logx2532 log10 769.88795978534353052965286195053735007473187735815 -> 2.8864275277862652709986498581064117950288798222100 Inexact Rounded 370 logx2533 log10 0.00000000000000041297494808612226304619570016336188 -> -15.384076292745415917510668454361868659468669804710 Inexact Rounded 371 logx2534 log10 860.88864595714426940247940960258558876903741966974 -> 2.9349469800554277915920278090647283233440859155176 Inexact Rounded 372 logx2535 log10 5839.0328812994787235900178587371051096898683972444 -> 3.7663409208972392569269125539438874737147906238543 Inexact Rounded 373 logx2536 log10 0.00000028532710151284840471670497112821201598377841 -> -6.5446569753514027675878879843238065488490618159490 Inexact Rounded 374 logx2537 log10 0.00000000000000009734490059931638483445631835651581 -> -16.011686794011271135978633880864278692254243106931 Inexact Rounded 375 logx2538 log10 5.8610949526439529489252302463450302981511714144330 -> 0.76797875722452549281028552067645732490929361952278 Inexact Rounded 376 logx2539 log10 6.6282432221115923372151148990137179611977576327206 -> 0.82139843639227213211012044000785757267155736071361 Inexact Rounded 377 logx2540 log10 0.00000000001994071862386846626954819923923344413454 -> -10.700259194632339980266559224447212260115021637626 Inexact Rounded 378 379 -- P=34, within 0-9999 380 Precision: 34 381 logx2201 log10 1.522513203889714179088327328864183 -> 0.1825610677098896250496651330492109 Inexact Rounded 382 logx2202 log10 0.171123774769717316154080888930404 -> -0.7666896483548462582461898092764408 Inexact Rounded 383 logx2203 log10 0.0000000997467236251714283104963838 -> -7.001101360652518274271569010312115 Inexact Rounded 384 logx2204 log10 0.0008856103624122479769647543468633 -> -3.052757310476070891830490327138190 Inexact Rounded 385 logx2205 log10 1.938274868738032930709498221236758 -> 0.2874153648259449520201536171714594 Inexact Rounded 386 logx2206 log10 479.5667847823826713082613445010097 -> 2.680849095850361068709165157286435 Inexact Rounded 387 logx2207 log10 8856.136599178820202141823157336804 -> 3.947244306584767101480454261950559 Inexact Rounded 388 logx2208 log10 0.0000911026318801903982642871344858 -> -4.040469076434979398438617464033826 Inexact Rounded 389 logx2209 log10 0.0000000000017271112650427414732630 -> -11.76267968314038748995178212654921 Inexact Rounded 390 logx2210 log10 6.962605370078885647639503548229695 -> 0.8427717807200322352686396925992250 Inexact Rounded 391 logx2211 log10 0.3354804428992793132855923541692781 -> -0.4743327923012159170967636070844834 Inexact Rounded 392 logx2212 log10 2.079864257474859008252165836663504 -> 0.3180349916198059046812506741388856 Inexact Rounded 393 logx2213 log10 2805.479529292939499220276986621988 -> 3.448007104139974344565978780624744 Inexact Rounded 394 logx2214 log10 66.45731133034187374557028537213949 -> 1.822542767005644041661520936223086 Inexact Rounded 395 logx2215 log10 0.0000001206521261762681738274822835 -> -6.918465020390216969561494755767318 Inexact Rounded 396 logx2216 log10 0.0000000001884891916264401160472381 -> -9.724713548119065386091933007528633 Inexact Rounded 397 logx2217 log10 0.0000015467279551726326581314582759 -> -5.810586065070435383755759514608738 Inexact Rounded 398 logx2218 log10 0.0090776316728068586744633914135952 -> -2.042027442843745884503280954390114 Inexact Rounded 399 logx2219 log10 0.0000000000024541106528713393740030 -> -11.61010585935635713090119156069479 Inexact Rounded 400 logx2220 log10 14.12936879385863410081087750645856 -> 1.150122760895466989841057385742662 Inexact Rounded 401 logx2221 log10 0.0000036912481831392922922647231392 -> -5.432826753789892283556211380824203 Inexact Rounded 402 logx2222 log10 0.0000000004067477525420424270138734 -> -9.390674838050073122857868012475060 Inexact Rounded 403 logx2223 log10 7080.122562705399744969319589806194 -> 3.850040775747103318724330047546916 Inexact Rounded 404 logx2224 log10 261.3491411363679209175524790255725 -> 2.417221077227536319655699517530855 Inexact Rounded 405 logx2225 log10 003.9945581449915240094728380041494 -> 0.6014687471531988260823066997845691 Inexact Rounded 406 logx2226 log10 0.0000000000583549164588495206767840 -> -10.23392254834182677023231713519341 Inexact Rounded 407 logx2227 log10 9567.961832607240278342761088487484 -> 3.980819434211107631569386147016368 Inexact Rounded 408 logx2228 log10 06.26592979160342972777219828867033 -> 0.7969855243966221408595024012574729 Inexact Rounded 409 logx2229 log10 0.0000000000589847046598067273287319 -> -10.22926059078206218717755253582907 Inexact Rounded 410 logx2230 log10 567.9388648235589204769442863724997 -> 2.754301589058313576472380262907638 Inexact Rounded 411 logx2231 log10 039.7790325480037778918162264883415 -> 1.599654216592019199639285308997886 Inexact Rounded 412 logx2232 log10 0.0000000005123951921894162149817207 -> -9.290394953898862694847327137242690 Inexact Rounded 413 logx2233 log10 0.0000000000038500999723636904276723 -> -11.41452799337924056186867324854691 Inexact Rounded 414 logx2234 log10 0.0006726500658977759825616537935864 -> -3.172210810922768725687671849421792 Inexact Rounded 415 logx2235 log10 260.2400250475967528429943779126507 -> 2.415374092073799204236801383070064 Inexact Rounded 416 logx2236 log10 0.0000000006101942339385102585042548 -> -9.214531900562046557191261226632509 Inexact Rounded 417 logx2237 log10 0.0000000010846867501382746760066557 -> -8.964695664883282406359874242387236 Inexact Rounded 418 logx2238 log10 60.24078375568814769010333711509928 -> 1.779890613567084253168373266648922 Inexact Rounded 419 logx2239 log10 0.0012058738711757669337600252986093 -> -2.918698115012605915753728220896010 Inexact Rounded 420 logx2240 log10 230.9450930197841600611503095185600 -> 2.363508739056822846742942599628966 Inexact Rounded 421 422 -- P=16, within 0-999 423 Precision: 16 424 logx2101 log10 0.0072067119605184 -> -2.142262835573038 Inexact Rounded 425 logx2102 log10 503.6828482226624 -> 2.702157162195652 Inexact Rounded 426 logx2103 log10 64.96074447821815 -> 1.812650993464174 Inexact Rounded 427 logx2104 log10 48.75408597467246 -> 1.688011018842600 Inexact Rounded 428 logx2105 log10 0.0329009839269587 -> -1.482791113975280 Inexact Rounded 429 logx2106 log10 223.5320415060633 -> 2.349339784523410 Inexact Rounded 430 logx2107 log10 73.12765002292194 -> 1.864081617476268 Inexact Rounded 431 logx2108 log10 487.3749378358509 -> 2.687863192802252 Inexact Rounded 432 logx2109 log10 0.0000019671987621 -> -5.706151757557926 Inexact Rounded 433 logx2110 log10 0.0570680660609784 -> -1.243606844697873 Inexact Rounded 434 logx2111 log10 33.10311638788998 -> 1.519868880976773 Inexact Rounded 435 logx2112 log10 0.0687382699187077 -> -1.162801402868185 Inexact Rounded 436 logx2113 log10 258.9416193626484 -> 2.413201859654145 Inexact Rounded 437 logx2114 log10 0.0005306100136736 -> -3.275224558269725 Inexact Rounded 438 logx2115 log10 65.78490393408572 -> 1.818126244825109 Inexact Rounded 439 logx2116 log10 504.2328842073510 -> 2.702631165346958 Inexact Rounded 440 logx2117 log10 9.417432755815027 -> 0.9739325278524503 Inexact Rounded 441 logx2118 log10 006.7054835355498 -> 0.8264301004947640 Inexact Rounded 442 logx2119 log10 0.0917012272363915 -> -1.037624852133399 Inexact Rounded 443 logx2120 log10 5.959404385244921 -> 0.7752028561953401 Inexact Rounded 444 logx2121 log10 0.0001209759148486 -> -3.917301084968903 Inexact Rounded 445 logx2122 log10 0.0004706112139838 -> -3.327337728428039 Inexact Rounded 446 logx2123 log10 0.0069700457377046 -> -2.156764372035771 Inexact Rounded 447 logx2124 log10 0.5155584569852619 -> -0.2877220847805025 Inexact Rounded 448 logx2125 log10 88.06005885607414 -> 1.944778971389913 Inexact Rounded 449 logx2126 log10 0.0448240038219866 -> -1.348489353509709 Inexact Rounded 450 logx2127 log10 3.419622484059565 -> 0.5339781639101145 Inexact Rounded 451 logx2128 log10 5.171123353858721 -> 0.7135848977142854 Inexact Rounded 452 logx2129 log10 0.0002133188319807 -> -3.670970802945872 Inexact Rounded 453 logx2130 log10 46.21086703136966 -> 1.664744117045149 Inexact Rounded 454 logx2131 log10 0.0000631053714415 -> -4.199933672639880 Inexact Rounded 455 logx2132 log10 78.66019196870698 -> 1.895755001962469 Inexact Rounded 456 logx2133 log10 0.0007152278351188 -> -3.145555592082297 Inexact Rounded 457 logx2134 log10 45.52509819928536 -> 1.658250891256892 Inexact Rounded 458 logx2135 log10 0.0000703227795740 -> -4.152903971697183 Inexact Rounded 459 logx2136 log10 26.24438641426669 -> 1.419036423550599 Inexact Rounded 460 logx2137 log10 0.0000044654829535 -> -5.350131564166817 Inexact Rounded 461 logx2138 log10 0.7360702733062529 -> -0.1330807211893611 Inexact Rounded 462 logx2139 log10 8.417059176469655 -> 0.9251603805112778 Inexact Rounded 463 logx2140 log10 0.0002926570767968 -> -3.533640969664818 Inexact Rounded 464 465 -- P=7, within 0-99 466 Precision: 7 467 logx2001 log10 57.26089 -> 1.757858 Inexact Rounded 468 logx2002 log10 0.0575421 -> -1.240014 Inexact Rounded 469 logx2003 log10 0.5918465 -> -0.2277909 Inexact Rounded 470 logx2004 log10 0.0068776 -> -2.162563 Inexact Rounded 471 logx2005 log10 0.0066833 -> -2.175009 Inexact Rounded 472 logx2006 log10 9.926963 -> 0.9968164 Inexact Rounded 473 logx2007 log10 0.0041852 -> -2.378284 Inexact Rounded 474 logx2008 log10 84.15412 -> 1.925075 Inexact Rounded 475 logx2009 log10 2.466856 -> 0.3921438 Inexact Rounded 476 logx2010 log10 0.0058047 -> -2.236220 Inexact Rounded 477 logx2011 log10 9.885154 -> 0.9949834 Inexact Rounded 478 logx2012 log10 0.6667654 -> -0.1760269 Inexact Rounded 479 logx2013 log10 34.65736 -> 1.539795 Inexact Rounded 480 logx2014 log10 0.0026884 -> -2.570506 Inexact Rounded 481 logx2015 log10 0.0432767 -> -1.363746 Inexact Rounded 482 logx2016 log10 66.01407 -> 1.819637 Inexact Rounded 483 logx2017 log10 0.0070572 -> -2.151368 Inexact Rounded 484 logx2018 log10 0.0731613 -> -1.135719 Inexact Rounded 485 logx2019 log10 9.838983 -> 0.9929502 Inexact Rounded 486 logx2020 log10 15.89696 -> 1.201314 Inexact Rounded 487 logx2021 log10 8.459247 -> 0.9273317 Inexact Rounded 488 logx2022 log10 0.0010873 -> -2.963651 Inexact Rounded 489 logx2023 log10 0.6498619 -> -0.1871789 Inexact Rounded 490 logx2024 log10 0.0847008 -> -1.072112 Inexact Rounded 491 logx2025 log10 0.0075489 -> -2.122116 Inexact Rounded 492 logx2026 log10 51.11152 -> 1.708519 Inexact Rounded 493 logx2027 log10 0.7233866 -> -0.1406295 Inexact Rounded 494 logx2028 log10 2.254721 -> 0.3530928 Inexact Rounded 495 logx2029 log10 6.568444 -> 0.8174625 Inexact Rounded 496 logx2030 log10 83.72639 -> 1.922862 Inexact Rounded 497 logx2031 log10 6.720585 -> 0.8274071 Inexact Rounded 498 logx2032 log10 87.90366 -> 1.944007 Inexact Rounded 499 logx2033 log10 0.0433324 -> -1.363187 Inexact Rounded 500 logx2034 log10 34.63912 -> 1.539567 Inexact Rounded 501 logx2035 log10 0.8089059 -> -0.09210200 Inexact Rounded 502 logx2036 log10 7.793405 -> 0.8917272 Inexact Rounded 503 logx2037 log10 0.0041757 -> -2.379271 Inexact Rounded 504 logx2038 log10 7.135417 -> 0.8534194 Inexact Rounded 505 logx2039 log10 12.49570 -> 1.096761 Inexact Rounded 506 logx2040 log10 6.356276 -> 0.8032027 Inexact Rounded 507 508 -------- 509 maxExponent: 384 510 minExponent: -383 511 precision: 16 512 rounding: half_even 513 514 -- special values 515 logx820 log10 Infinity -> Infinity 516 logx821 log10 0 -> -Infinity 517 logx822 log10 NaN -> NaN 518 logx823 log10 sNaN -> NaN Invalid_operation 519 -- propagating NaNs 520 logx824 log10 sNaN123 -> NaN123 Invalid_operation 521 logx825 log10 -sNaN321 -> -NaN321 Invalid_operation 522 logx826 log10 NaN456 -> NaN456 523 logx827 log10 -NaN654 -> -NaN654 524 logx828 log10 NaN1 -> NaN1 525 526 527 -- Invalid operations due to restrictions 528 -- [next two probably skipped by most test harnesses] 529 precision: 100000000 530 logx901 log10 1 -> NaN Invalid_context 531 precision: 99999999 532 logx902 log10 0 -> NaN Invalid_context 533 534 precision: 9 535 maxExponent: 1000000 536 minExponent: -999999 537 logx903 log10 1 -> NaN Invalid_context 538 maxExponent: 999999 539 minExponent: -999999 540 logx904 log10 0 -> -Infinity 541 maxExponent: 999999 542 minExponent: -1000000 543 logx905 log10 1 -> NaN Invalid_context 544 maxExponent: 999999 545 minExponent: -999998 546 logx906 log10 0 -> -Infinity 547 548 -- Null test 549 logx900 log10 # -> NaN Invalid_operation 550 551 552
