| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 1 | ------------------------------------------------------------------------
|
| 2 | -- dqRemainder.decTest -- decQuad remainder --
|
| Benjamin Peterson | f17ff4e | 2008-07-31 16:32:12 +0000 | [diff] [blame] | 3 | -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
|
| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 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@uk.ibm.com --
|
| 19 | ------------------------------------------------------------------------
|
| Mark Dickinson | 8a54653 | 2009-10-08 16:30:38 +0000 | [diff] [blame] | 20 | version: 2.59
|
| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 21 |
|
| 22 | extended: 1
|
| 23 | clamp: 1
|
| 24 | precision: 34
|
| 25 | maxExponent: 6144
|
| 26 | minExponent: -6143
|
| 27 | rounding: half_even
|
| 28 |
|
| 29 | -- sanity checks (as base, above)
|
| 30 | dqrem001 remainder 1 1 -> 0
|
| 31 | dqrem002 remainder 2 1 -> 0
|
| 32 | dqrem003 remainder 1 2 -> 1
|
| 33 | dqrem004 remainder 2 2 -> 0
|
| 34 | dqrem005 remainder 0 1 -> 0
|
| 35 | dqrem006 remainder 0 2 -> 0
|
| 36 | dqrem007 remainder 1 3 -> 1
|
| 37 | dqrem008 remainder 2 3 -> 2
|
| 38 | dqrem009 remainder 3 3 -> 0
|
| 39 |
|
| 40 | dqrem010 remainder 2.4 1 -> 0.4
|
| 41 | dqrem011 remainder 2.4 -1 -> 0.4
|
| 42 | dqrem012 remainder -2.4 1 -> -0.4
|
| 43 | dqrem013 remainder -2.4 -1 -> -0.4
|
| 44 | dqrem014 remainder 2.40 1 -> 0.40
|
| 45 | dqrem015 remainder 2.400 1 -> 0.400
|
| 46 | dqrem016 remainder 2.4 2 -> 0.4
|
| 47 | dqrem017 remainder 2.400 2 -> 0.400
|
| 48 | dqrem018 remainder 2. 2 -> 0
|
| 49 | dqrem019 remainder 20 20 -> 0
|
| 50 |
|
| 51 | dqrem020 remainder 187 187 -> 0
|
| 52 | dqrem021 remainder 5 2 -> 1
|
| 53 | dqrem022 remainder 5 2.0 -> 1.0
|
| 54 | dqrem023 remainder 5 2.000 -> 1.000
|
| 55 | dqrem024 remainder 5 0.200 -> 0.000
|
| 56 | dqrem025 remainder 5 0.200 -> 0.000
|
| 57 |
|
| 58 | dqrem030 remainder 1 2 -> 1
|
| 59 | dqrem031 remainder 1 4 -> 1
|
| 60 | dqrem032 remainder 1 8 -> 1
|
| 61 |
|
| 62 | dqrem033 remainder 1 16 -> 1
|
| 63 | dqrem034 remainder 1 32 -> 1
|
| 64 | dqrem035 remainder 1 64 -> 1
|
| 65 | dqrem040 remainder 1 -2 -> 1
|
| 66 | dqrem041 remainder 1 -4 -> 1
|
| 67 | dqrem042 remainder 1 -8 -> 1
|
| 68 | dqrem043 remainder 1 -16 -> 1
|
| 69 | dqrem044 remainder 1 -32 -> 1
|
| 70 | dqrem045 remainder 1 -64 -> 1
|
| 71 | dqrem050 remainder -1 2 -> -1
|
| 72 | dqrem051 remainder -1 4 -> -1
|
| 73 | dqrem052 remainder -1 8 -> -1
|
| 74 | dqrem053 remainder -1 16 -> -1
|
| 75 | dqrem054 remainder -1 32 -> -1
|
| 76 | dqrem055 remainder -1 64 -> -1
|
| 77 | dqrem060 remainder -1 -2 -> -1
|
| 78 | dqrem061 remainder -1 -4 -> -1
|
| 79 | dqrem062 remainder -1 -8 -> -1
|
| 80 | dqrem063 remainder -1 -16 -> -1
|
| 81 | dqrem064 remainder -1 -32 -> -1
|
| 82 | dqrem065 remainder -1 -64 -> -1
|
| 83 |
|
| 84 | dqrem066 remainder 999999999 1 -> 0
|
| 85 | dqrem067 remainder 999999999.4 1 -> 0.4
|
| 86 | dqrem068 remainder 999999999.5 1 -> 0.5
|
| 87 | dqrem069 remainder 999999999.9 1 -> 0.9
|
| 88 | dqrem070 remainder 999999999.999 1 -> 0.999
|
| 89 | dqrem071 remainder 999999.999999 1 -> 0.999999
|
| 90 | dqrem072 remainder 9 1 -> 0
|
| 91 |
|
| 92 | dqrem080 remainder 0. 1 -> 0
|
| 93 | dqrem081 remainder .0 1 -> 0.0
|
| 94 | dqrem082 remainder 0.00 1 -> 0.00
|
| 95 | dqrem083 remainder 0.00E+9 1 -> 0
|
| 96 | dqrem084 remainder 0.00E+3 1 -> 0
|
| 97 | dqrem085 remainder 0.00E+2 1 -> 0
|
| 98 | dqrem086 remainder 0.00E+1 1 -> 0.0
|
| 99 | dqrem087 remainder 0.00E+0 1 -> 0.00
|
| 100 | dqrem088 remainder 0.00E-0 1 -> 0.00
|
| 101 | dqrem089 remainder 0.00E-1 1 -> 0.000
|
| 102 | dqrem090 remainder 0.00E-2 1 -> 0.0000
|
| 103 | dqrem091 remainder 0.00E-3 1 -> 0.00000
|
| 104 | dqrem092 remainder 0.00E-4 1 -> 0.000000
|
| 105 | dqrem093 remainder 0.00E-5 1 -> 0E-7
|
| 106 | dqrem094 remainder 0.00E-6 1 -> 0E-8
|
| 107 | dqrem095 remainder 0.0000E-50 1 -> 0E-54
|
| 108 |
|
| 109 | -- Various flavours of remainder by 0
|
| 110 | dqrem101 remainder 0 0 -> NaN Division_undefined
|
| 111 | dqrem102 remainder 0 -0 -> NaN Division_undefined
|
| 112 | dqrem103 remainder -0 0 -> NaN Division_undefined
|
| 113 | dqrem104 remainder -0 -0 -> NaN Division_undefined
|
| 114 | dqrem105 remainder 0.0E5 0 -> NaN Division_undefined
|
| 115 | dqrem106 remainder 0.000 0 -> NaN Division_undefined
|
| 116 | -- [Some think this next group should be Division_by_zero exception, but
|
| 117 | -- IEEE 854 is explicit that it is Invalid operation .. for
|
| 118 | -- remainder-near, anyway]
|
| 119 | dqrem107 remainder 0.0001 0 -> NaN Invalid_operation
|
| 120 | dqrem108 remainder 0.01 0 -> NaN Invalid_operation
|
| 121 | dqrem109 remainder 0.1 0 -> NaN Invalid_operation
|
| 122 | dqrem110 remainder 1 0 -> NaN Invalid_operation
|
| 123 | dqrem111 remainder 1 0.0 -> NaN Invalid_operation
|
| 124 | dqrem112 remainder 10 0.0 -> NaN Invalid_operation
|
| 125 | dqrem113 remainder 1E+100 0.0 -> NaN Invalid_operation
|
| 126 | dqrem114 remainder 1E+380 0 -> NaN Invalid_operation
|
| 127 | dqrem115 remainder 0.0001 -0 -> NaN Invalid_operation
|
| 128 | dqrem116 remainder 0.01 -0 -> NaN Invalid_operation
|
| 129 | dqrem119 remainder 0.1 -0 -> NaN Invalid_operation
|
| 130 | dqrem120 remainder 1 -0 -> NaN Invalid_operation
|
| 131 | dqrem121 remainder 1 -0.0 -> NaN Invalid_operation
|
| 132 | dqrem122 remainder 10 -0.0 -> NaN Invalid_operation
|
| 133 | dqrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation
|
| 134 | dqrem124 remainder 1E+384 -0 -> NaN Invalid_operation
|
| 135 | -- and zeros on left
|
| 136 | dqrem130 remainder 0 1 -> 0
|
| 137 | dqrem131 remainder 0 -1 -> 0
|
| 138 | dqrem132 remainder 0.0 1 -> 0.0
|
| 139 | dqrem133 remainder 0.0 -1 -> 0.0
|
| 140 | dqrem134 remainder -0 1 -> -0
|
| 141 | dqrem135 remainder -0 -1 -> -0
|
| 142 | dqrem136 remainder -0.0 1 -> -0.0
|
| 143 | dqrem137 remainder -0.0 -1 -> -0.0
|
| 144 |
|
| 145 | -- 0.5ers
|
| 146 | dqrem143 remainder 0.5 2 -> 0.5
|
| 147 | dqrem144 remainder 0.5 2.1 -> 0.5
|
| 148 | dqrem145 remainder 0.5 2.01 -> 0.50
|
| 149 | dqrem146 remainder 0.5 2.001 -> 0.500
|
| 150 | dqrem147 remainder 0.50 2 -> 0.50
|
| 151 | dqrem148 remainder 0.50 2.01 -> 0.50
|
| 152 | dqrem149 remainder 0.50 2.001 -> 0.500
|
| 153 |
|
| 154 | -- steadies
|
| 155 | dqrem150 remainder 1 1 -> 0
|
| 156 | dqrem151 remainder 1 2 -> 1
|
| 157 | dqrem152 remainder 1 3 -> 1
|
| 158 | dqrem153 remainder 1 4 -> 1
|
| 159 | dqrem154 remainder 1 5 -> 1
|
| 160 | dqrem155 remainder 1 6 -> 1
|
| 161 | dqrem156 remainder 1 7 -> 1
|
| 162 | dqrem157 remainder 1 8 -> 1
|
| 163 | dqrem158 remainder 1 9 -> 1
|
| 164 | dqrem159 remainder 1 10 -> 1
|
| 165 | dqrem160 remainder 1 1 -> 0
|
| 166 | dqrem161 remainder 2 1 -> 0
|
| 167 | dqrem162 remainder 3 1 -> 0
|
| 168 | dqrem163 remainder 4 1 -> 0
|
| 169 | dqrem164 remainder 5 1 -> 0
|
| 170 | dqrem165 remainder 6 1 -> 0
|
| 171 | dqrem166 remainder 7 1 -> 0
|
| 172 | dqrem167 remainder 8 1 -> 0
|
| 173 | dqrem168 remainder 9 1 -> 0
|
| 174 | dqrem169 remainder 10 1 -> 0
|
| 175 |
|
| 176 | -- some differences from remainderNear
|
| 177 | dqrem171 remainder 0.4 1.020 -> 0.400
|
| 178 | dqrem172 remainder 0.50 1.020 -> 0.500
|
| 179 | dqrem173 remainder 0.51 1.020 -> 0.510
|
| 180 | dqrem174 remainder 0.52 1.020 -> 0.520
|
| 181 | dqrem175 remainder 0.6 1.020 -> 0.600
|
| 182 |
|
| 183 | -- More flavours of remainder by 0
|
| 184 | dqrem201 remainder 0 0 -> NaN Division_undefined
|
| 185 | dqrem202 remainder 0.0E5 0 -> NaN Division_undefined
|
| 186 | dqrem203 remainder 0.000 0 -> NaN Division_undefined
|
| 187 | dqrem204 remainder 0.0001 0 -> NaN Invalid_operation
|
| 188 | dqrem205 remainder 0.01 0 -> NaN Invalid_operation
|
| 189 | dqrem206 remainder 0.1 0 -> NaN Invalid_operation
|
| 190 | dqrem207 remainder 1 0 -> NaN Invalid_operation
|
| 191 | dqrem208 remainder 1 0.0 -> NaN Invalid_operation
|
| 192 | dqrem209 remainder 10 0.0 -> NaN Invalid_operation
|
| 193 | dqrem210 remainder 1E+100 0.0 -> NaN Invalid_operation
|
| 194 | dqrem211 remainder 1E+380 0 -> NaN Invalid_operation
|
| 195 |
|
| 196 | -- some differences from remainderNear
|
| 197 | dqrem231 remainder -0.4 1.020 -> -0.400
|
| 198 | dqrem232 remainder -0.50 1.020 -> -0.500
|
| 199 | dqrem233 remainder -0.51 1.020 -> -0.510
|
| 200 | dqrem234 remainder -0.52 1.020 -> -0.520
|
| 201 | dqrem235 remainder -0.6 1.020 -> -0.600
|
| 202 |
|
| 203 | -- high Xs
|
| 204 | dqrem240 remainder 1E+2 1.00 -> 0.00
|
| 205 |
|
| 206 | -- dqrem3xx are from DiagBigDecimal
|
| 207 | dqrem301 remainder 1 3 -> 1
|
| 208 | dqrem302 remainder 5 5 -> 0
|
| 209 | dqrem303 remainder 13 10 -> 3
|
| 210 | dqrem304 remainder 13 50 -> 13
|
| 211 | dqrem305 remainder 13 100 -> 13
|
| 212 | dqrem306 remainder 13 1000 -> 13
|
| 213 | dqrem307 remainder .13 1 -> 0.13
|
| 214 | dqrem308 remainder 0.133 1 -> 0.133
|
| 215 | dqrem309 remainder 0.1033 1 -> 0.1033
|
| 216 | dqrem310 remainder 1.033 1 -> 0.033
|
| 217 | dqrem311 remainder 10.33 1 -> 0.33
|
| 218 | dqrem312 remainder 10.33 10 -> 0.33
|
| 219 | dqrem313 remainder 103.3 1 -> 0.3
|
| 220 | dqrem314 remainder 133 10 -> 3
|
| 221 | dqrem315 remainder 1033 10 -> 3
|
| 222 | dqrem316 remainder 1033 50 -> 33
|
| 223 | dqrem317 remainder 101.0 3 -> 2.0
|
| 224 | dqrem318 remainder 102.0 3 -> 0.0
|
| 225 | dqrem319 remainder 103.0 3 -> 1.0
|
| 226 | dqrem320 remainder 2.40 1 -> 0.40
|
| 227 | dqrem321 remainder 2.400 1 -> 0.400
|
| 228 | dqrem322 remainder 2.4 1 -> 0.4
|
| 229 | dqrem323 remainder 2.4 2 -> 0.4
|
| 230 | dqrem324 remainder 2.400 2 -> 0.400
|
| 231 | dqrem325 remainder 1 0.3 -> 0.1
|
| 232 | dqrem326 remainder 1 0.30 -> 0.10
|
| 233 | dqrem327 remainder 1 0.300 -> 0.100
|
| 234 | dqrem328 remainder 1 0.3000 -> 0.1000
|
| 235 | dqrem329 remainder 1.0 0.3 -> 0.1
|
| 236 | dqrem330 remainder 1.00 0.3 -> 0.10
|
| 237 | dqrem331 remainder 1.000 0.3 -> 0.100
|
| 238 | dqrem332 remainder 1.0000 0.3 -> 0.1000
|
| 239 | dqrem333 remainder 0.5 2 -> 0.5
|
| 240 | dqrem334 remainder 0.5 2.1 -> 0.5
|
| 241 | dqrem335 remainder 0.5 2.01 -> 0.50
|
| 242 | dqrem336 remainder 0.5 2.001 -> 0.500
|
| 243 | dqrem337 remainder 0.50 2 -> 0.50
|
| 244 | dqrem338 remainder 0.50 2.01 -> 0.50
|
| 245 | dqrem339 remainder 0.50 2.001 -> 0.500
|
| 246 |
|
| 247 | dqrem340 remainder 0.5 0.5000001 -> 0.5000000
|
| 248 | dqrem341 remainder 0.5 0.50000001 -> 0.50000000
|
| 249 | dqrem342 remainder 0.5 0.500000001 -> 0.500000000
|
| 250 | dqrem343 remainder 0.5 0.5000000001 -> 0.5000000000
|
| 251 | dqrem344 remainder 0.5 0.50000000001 -> 0.50000000000
|
| 252 | dqrem345 remainder 0.5 0.4999999 -> 1E-7
|
| 253 | dqrem346 remainder 0.5 0.49999999 -> 1E-8
|
| 254 | dqrem347 remainder 0.5 0.499999999 -> 1E-9
|
| 255 | dqrem348 remainder 0.5 0.4999999999 -> 1E-10
|
| 256 | dqrem349 remainder 0.5 0.49999999999 -> 1E-11
|
| 257 | dqrem350 remainder 0.5 0.499999999999 -> 1E-12
|
| 258 |
|
| 259 | dqrem351 remainder 0.03 7 -> 0.03
|
| 260 | dqrem352 remainder 5 2 -> 1
|
| 261 | dqrem353 remainder 4.1 2 -> 0.1
|
| 262 | dqrem354 remainder 4.01 2 -> 0.01
|
| 263 | dqrem355 remainder 4.001 2 -> 0.001
|
| 264 | dqrem356 remainder 4.0001 2 -> 0.0001
|
| 265 | dqrem357 remainder 4.00001 2 -> 0.00001
|
| 266 | dqrem358 remainder 4.000001 2 -> 0.000001
|
| 267 | dqrem359 remainder 4.0000001 2 -> 1E-7
|
| 268 |
|
| 269 | dqrem360 remainder 1.2 0.7345 -> 0.4655
|
| 270 | dqrem361 remainder 0.8 12 -> 0.8
|
| 271 | dqrem362 remainder 0.8 0.2 -> 0.0
|
| 272 | dqrem363 remainder 0.8 0.3 -> 0.2
|
| 273 | dqrem364 remainder 0.800 12 -> 0.800
|
| 274 | dqrem365 remainder 0.800 1.7 -> 0.800
|
| 275 | dqrem366 remainder 2.400 2 -> 0.400
|
| 276 |
|
| 277 | dqrem371 remainder 2.400 2 -> 0.400
|
| 278 |
|
| 279 | dqrem381 remainder 12345 1 -> 0
|
| 280 | dqrem382 remainder 12345 1.0001 -> 0.7657
|
| 281 | dqrem383 remainder 12345 1.001 -> 0.668
|
| 282 | dqrem384 remainder 12345 1.01 -> 0.78
|
| 283 | dqrem385 remainder 12345 1.1 -> 0.8
|
| 284 | dqrem386 remainder 12355 4 -> 3
|
| 285 | dqrem387 remainder 12345 4 -> 1
|
| 286 | dqrem388 remainder 12355 4.0001 -> 2.6912
|
| 287 | dqrem389 remainder 12345 4.0001 -> 0.6914
|
| 288 | dqrem390 remainder 12345 4.9 -> 1.9
|
| 289 | dqrem391 remainder 12345 4.99 -> 4.73
|
| 290 | dqrem392 remainder 12345 4.999 -> 2.469
|
| 291 | dqrem393 remainder 12345 4.9999 -> 0.2469
|
| 292 | dqrem394 remainder 12345 5 -> 0
|
| 293 | dqrem395 remainder 12345 5.0001 -> 4.7532
|
| 294 | dqrem396 remainder 12345 5.001 -> 2.532
|
| 295 | dqrem397 remainder 12345 5.01 -> 0.36
|
| 296 | dqrem398 remainder 12345 5.1 -> 3.0
|
| 297 |
|
| 298 | -- the nasty division-by-1 cases
|
| 299 | dqrem401 remainder 0.5 1 -> 0.5
|
| 300 | dqrem402 remainder 0.55 1 -> 0.55
|
| 301 | dqrem403 remainder 0.555 1 -> 0.555
|
| 302 | dqrem404 remainder 0.5555 1 -> 0.5555
|
| 303 | dqrem405 remainder 0.55555 1 -> 0.55555
|
| 304 | dqrem406 remainder 0.555555 1 -> 0.555555
|
| 305 | dqrem407 remainder 0.5555555 1 -> 0.5555555
|
| 306 | dqrem408 remainder 0.55555555 1 -> 0.55555555
|
| 307 | dqrem409 remainder 0.555555555 1 -> 0.555555555
|
| 308 |
|
| 309 | -- folddowns
|
| 310 | dqrem421 remainder 1E+6144 1 -> NaN Division_impossible
|
| 311 | dqrem422 remainder 1E+6144 1E+6143 -> 0E+6111 Clamped
|
| 312 | dqrem423 remainder 1E+6144 2E+6143 -> 0E+6111 Clamped
|
| 313 | dqrem424 remainder 1E+6144 3E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped
|
| 314 | dqrem425 remainder 1E+6144 4E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped
|
| 315 | dqrem426 remainder 1E+6144 5E+6143 -> 0E+6111 Clamped
|
| 316 | dqrem427 remainder 1E+6144 6E+6143 -> 4.00000000000000000000000000000000E+6143 Clamped
|
| 317 | dqrem428 remainder 1E+6144 7E+6143 -> 3.00000000000000000000000000000000E+6143 Clamped
|
| 318 | dqrem429 remainder 1E+6144 8E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped
|
| 319 | dqrem430 remainder 1E+6144 9E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped
|
| 320 | -- tinies
|
| 321 | dqrem431 remainder 1E-6175 1E-6176 -> 0E-6176
|
| 322 | dqrem432 remainder 1E-6175 2E-6176 -> 0E-6176
|
| 323 | dqrem433 remainder 1E-6175 3E-6176 -> 1E-6176 Subnormal
|
| 324 | dqrem434 remainder 1E-6175 4E-6176 -> 2E-6176 Subnormal
|
| 325 | dqrem435 remainder 1E-6175 5E-6176 -> 0E-6176
|
| 326 | dqrem436 remainder 1E-6175 6E-6176 -> 4E-6176 Subnormal
|
| 327 | dqrem437 remainder 1E-6175 7E-6176 -> 3E-6176 Subnormal
|
| 328 | dqrem438 remainder 1E-6175 8E-6176 -> 2E-6176 Subnormal
|
| 329 | dqrem439 remainder 1E-6175 9E-6176 -> 1E-6176 Subnormal
|
| 330 | dqrem440 remainder 1E-6175 10E-6176 -> 0E-6176
|
| 331 | dqrem441 remainder 1E-6175 11E-6176 -> 1.0E-6175 Subnormal
|
| 332 | dqrem442 remainder 100E-6175 11E-6176 -> 1.0E-6175 Subnormal
|
| 333 | dqrem443 remainder 100E-6175 20E-6176 -> 0E-6176
|
| 334 | dqrem444 remainder 100E-6175 21E-6176 -> 1.3E-6175 Subnormal
|
| 335 | dqrem445 remainder 100E-6175 30E-6176 -> 1.0E-6175 Subnormal
|
| 336 |
|
| 337 | -- zero signs
|
| 338 | dqrem650 remainder 1 1 -> 0
|
| 339 | dqrem651 remainder -1 1 -> -0
|
| 340 | dqrem652 remainder 1 -1 -> 0
|
| 341 | dqrem653 remainder -1 -1 -> -0
|
| 342 | dqrem654 remainder 0 1 -> 0
|
| 343 | dqrem655 remainder -0 1 -> -0
|
| 344 | dqrem656 remainder 0 -1 -> 0
|
| 345 | dqrem657 remainder -0 -1 -> -0
|
| 346 | dqrem658 remainder 0.00 1 -> 0.00
|
| 347 | dqrem659 remainder -0.00 1 -> -0.00
|
| 348 |
|
| 349 | -- Specials
|
| 350 | dqrem680 remainder Inf -Inf -> NaN Invalid_operation
|
| 351 | dqrem681 remainder Inf -1000 -> NaN Invalid_operation
|
| 352 | dqrem682 remainder Inf -1 -> NaN Invalid_operation
|
| 353 | dqrem683 remainder Inf 0 -> NaN Invalid_operation
|
| 354 | dqrem684 remainder Inf -0 -> NaN Invalid_operation
|
| 355 | dqrem685 remainder Inf 1 -> NaN Invalid_operation
|
| 356 | dqrem686 remainder Inf 1000 -> NaN Invalid_operation
|
| 357 | dqrem687 remainder Inf Inf -> NaN Invalid_operation
|
| 358 | dqrem688 remainder -1000 Inf -> -1000
|
| 359 | dqrem689 remainder -Inf Inf -> NaN Invalid_operation
|
| 360 | dqrem691 remainder -1 Inf -> -1
|
| 361 | dqrem692 remainder 0 Inf -> 0
|
| 362 | dqrem693 remainder -0 Inf -> -0
|
| 363 | dqrem694 remainder 1 Inf -> 1
|
| 364 | dqrem695 remainder 1000 Inf -> 1000
|
| 365 | dqrem696 remainder Inf Inf -> NaN Invalid_operation
|
| 366 |
|
| 367 | dqrem700 remainder -Inf -Inf -> NaN Invalid_operation
|
| 368 | dqrem701 remainder -Inf -1000 -> NaN Invalid_operation
|
| 369 | dqrem702 remainder -Inf -1 -> NaN Invalid_operation
|
| 370 | dqrem703 remainder -Inf -0 -> NaN Invalid_operation
|
| 371 | dqrem704 remainder -Inf 0 -> NaN Invalid_operation
|
| 372 | dqrem705 remainder -Inf 1 -> NaN Invalid_operation
|
| 373 | dqrem706 remainder -Inf 1000 -> NaN Invalid_operation
|
| 374 | dqrem707 remainder -Inf Inf -> NaN Invalid_operation
|
| 375 | dqrem708 remainder -Inf -Inf -> NaN Invalid_operation
|
| 376 | dqrem709 remainder -1000 Inf -> -1000
|
| 377 | dqrem710 remainder -1 -Inf -> -1
|
| 378 | dqrem711 remainder -0 -Inf -> -0
|
| 379 | dqrem712 remainder 0 -Inf -> 0
|
| 380 | dqrem713 remainder 1 -Inf -> 1
|
| 381 | dqrem714 remainder 1000 -Inf -> 1000
|
| 382 | dqrem715 remainder Inf -Inf -> NaN Invalid_operation
|
| 383 |
|
| 384 | dqrem721 remainder NaN -Inf -> NaN
|
| 385 | dqrem722 remainder NaN -1000 -> NaN
|
| 386 | dqrem723 remainder NaN -1 -> NaN
|
| 387 | dqrem724 remainder NaN -0 -> NaN
|
| 388 | dqrem725 remainder -NaN 0 -> -NaN
|
| 389 | dqrem726 remainder NaN 1 -> NaN
|
| 390 | dqrem727 remainder NaN 1000 -> NaN
|
| 391 | dqrem728 remainder NaN Inf -> NaN
|
| 392 | dqrem729 remainder NaN -NaN -> NaN
|
| 393 | dqrem730 remainder -Inf NaN -> NaN
|
| 394 | dqrem731 remainder -1000 NaN -> NaN
|
| 395 | dqrem732 remainder -1 NaN -> NaN
|
| 396 | dqrem733 remainder -0 -NaN -> -NaN
|
| 397 | dqrem734 remainder 0 NaN -> NaN
|
| 398 | dqrem735 remainder 1 -NaN -> -NaN
|
| 399 | dqrem736 remainder 1000 NaN -> NaN
|
| 400 | dqrem737 remainder Inf NaN -> NaN
|
| 401 |
|
| 402 | dqrem741 remainder sNaN -Inf -> NaN Invalid_operation
|
| 403 | dqrem742 remainder sNaN -1000 -> NaN Invalid_operation
|
| 404 | dqrem743 remainder -sNaN -1 -> -NaN Invalid_operation
|
| 405 | dqrem744 remainder sNaN -0 -> NaN Invalid_operation
|
| 406 | dqrem745 remainder sNaN 0 -> NaN Invalid_operation
|
| 407 | dqrem746 remainder sNaN 1 -> NaN Invalid_operation
|
| 408 | dqrem747 remainder sNaN 1000 -> NaN Invalid_operation
|
| 409 | dqrem749 remainder sNaN NaN -> NaN Invalid_operation
|
| 410 | dqrem750 remainder sNaN sNaN -> NaN Invalid_operation
|
| 411 | dqrem751 remainder NaN sNaN -> NaN Invalid_operation
|
| 412 | dqrem752 remainder -Inf sNaN -> NaN Invalid_operation
|
| 413 | dqrem753 remainder -1000 sNaN -> NaN Invalid_operation
|
| 414 | dqrem754 remainder -1 sNaN -> NaN Invalid_operation
|
| 415 | dqrem755 remainder -0 sNaN -> NaN Invalid_operation
|
| 416 | dqrem756 remainder 0 sNaN -> NaN Invalid_operation
|
| 417 | dqrem757 remainder 1 sNaN -> NaN Invalid_operation
|
| 418 | dqrem758 remainder 1000 sNaN -> NaN Invalid_operation
|
| 419 | dqrem759 remainder Inf -sNaN -> -NaN Invalid_operation
|
| 420 |
|
| 421 | -- propaging NaNs
|
| 422 | dqrem760 remainder NaN1 NaN7 -> NaN1
|
| 423 | dqrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation
|
| 424 | dqrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation
|
| 425 | dqrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation
|
| 426 | dqrem764 remainder 15 NaN11 -> NaN11
|
| 427 | dqrem765 remainder NaN6 NaN12 -> NaN6
|
| 428 | dqrem766 remainder Inf NaN13 -> NaN13
|
| 429 | dqrem767 remainder NaN14 -Inf -> NaN14
|
| 430 | dqrem768 remainder 0 NaN15 -> NaN15
|
| 431 | dqrem769 remainder NaN16 -0 -> NaN16
|
| 432 |
|
| 433 | -- edge cases of impossible
|
| 434 | dqrem770 remainder 1234568888888887777777777890123456 10 -> 6
|
| 435 | dqrem771 remainder 1234568888888887777777777890123456 1 -> 0
|
| 436 | dqrem772 remainder 1234568888888887777777777890123456 0.1 -> NaN Division_impossible
|
| 437 | dqrem773 remainder 1234568888888887777777777890123456 0.01 -> NaN Division_impossible
|
| 438 |
|
| 439 | -- long operand checks
|
| 440 | dqrem801 remainder 12345678000 100 -> 0
|
| 441 | dqrem802 remainder 1 12345678000 -> 1
|
| 442 | dqrem803 remainder 1234567800 10 -> 0
|
| 443 | dqrem804 remainder 1 1234567800 -> 1
|
| 444 | dqrem805 remainder 1234567890 10 -> 0
|
| 445 | dqrem806 remainder 1 1234567890 -> 1
|
| 446 | dqrem807 remainder 1234567891 10 -> 1
|
| 447 | dqrem808 remainder 1 1234567891 -> 1
|
| 448 | dqrem809 remainder 12345678901 100 -> 1
|
| 449 | dqrem810 remainder 1 12345678901 -> 1
|
| 450 | dqrem811 remainder 1234567896 10 -> 6
|
| 451 | dqrem812 remainder 1 1234567896 -> 1
|
| 452 |
|
| 453 | dqrem821 remainder 12345678000 100 -> 0
|
| 454 | dqrem822 remainder 1 12345678000 -> 1
|
| 455 | dqrem823 remainder 1234567800 10 -> 0
|
| 456 | dqrem824 remainder 1 1234567800 -> 1
|
| 457 | dqrem825 remainder 1234567890 10 -> 0
|
| 458 | dqrem826 remainder 1 1234567890 -> 1
|
| 459 | dqrem827 remainder 1234567891 10 -> 1
|
| 460 | dqrem828 remainder 1 1234567891 -> 1
|
| 461 | dqrem829 remainder 12345678901 100 -> 1
|
| 462 | dqrem830 remainder 1 12345678901 -> 1
|
| 463 | dqrem831 remainder 1234567896 10 -> 6
|
| 464 | dqrem832 remainder 1 1234567896 -> 1
|
| 465 |
|
| 466 | -- from divideint
|
| 467 | dqrem840 remainder 100000000.0 1 -> 0.0
|
| 468 | dqrem841 remainder 100000000.4 1 -> 0.4
|
| 469 | dqrem842 remainder 100000000.5 1 -> 0.5
|
| 470 | dqrem843 remainder 100000000.9 1 -> 0.9
|
| 471 | dqrem844 remainder 100000000.999 1 -> 0.999
|
| 472 | dqrem850 remainder 100000003 5 -> 3
|
| 473 | dqrem851 remainder 10000003 5 -> 3
|
| 474 | dqrem852 remainder 1000003 5 -> 3
|
| 475 | dqrem853 remainder 100003 5 -> 3
|
| 476 | dqrem854 remainder 10003 5 -> 3
|
| 477 | dqrem855 remainder 1003 5 -> 3
|
| 478 | dqrem856 remainder 103 5 -> 3
|
| 479 | dqrem857 remainder 13 5 -> 3
|
| 480 | dqrem858 remainder 1 5 -> 1
|
| 481 |
|
| 482 | -- Vladimir's cases 1234567890123456
|
| 483 | dqrem860 remainder 123.0e1 1000000000000000 -> 1230
|
| 484 | dqrem861 remainder 1230 1000000000000000 -> 1230
|
| 485 | dqrem862 remainder 12.3e2 1000000000000000 -> 1230
|
| 486 | dqrem863 remainder 1.23e3 1000000000000000 -> 1230
|
| 487 | dqrem864 remainder 123e1 1000000000000000 -> 1230
|
| 488 | dqrem870 remainder 123e1 1000000000000000 -> 1230
|
| 489 | dqrem871 remainder 123e1 100000000000000 -> 1230
|
| 490 | dqrem872 remainder 123e1 10000000000000 -> 1230
|
| 491 | dqrem873 remainder 123e1 1000000000000 -> 1230
|
| 492 | dqrem874 remainder 123e1 100000000000 -> 1230
|
| 493 | dqrem875 remainder 123e1 10000000000 -> 1230
|
| 494 | dqrem876 remainder 123e1 1000000000 -> 1230
|
| 495 | dqrem877 remainder 123e1 100000000 -> 1230
|
| 496 | dqrem878 remainder 1230 100000000 -> 1230
|
| 497 | dqrem879 remainder 123e1 10000000 -> 1230
|
| 498 | dqrem880 remainder 123e1 1000000 -> 1230
|
| 499 | dqrem881 remainder 123e1 100000 -> 1230
|
| 500 | dqrem882 remainder 123e1 10000 -> 1230
|
| 501 | dqrem883 remainder 123e1 1000 -> 230
|
| 502 | dqrem884 remainder 123e1 100 -> 30
|
| 503 | dqrem885 remainder 123e1 10 -> 0
|
| 504 | dqrem886 remainder 123e1 1 -> 0
|
| 505 |
|
| 506 | dqrem890 remainder 123e1 2000000000000000 -> 1230
|
| 507 | dqrem891 remainder 123e1 200000000000000 -> 1230
|
| 508 | dqrem892 remainder 123e1 20000000000000 -> 1230
|
| 509 | dqrem893 remainder 123e1 2000000000000 -> 1230
|
| 510 | dqrem894 remainder 123e1 200000000000 -> 1230
|
| 511 | dqrem895 remainder 123e1 20000000000 -> 1230
|
| 512 | dqrem896 remainder 123e1 2000000000 -> 1230
|
| 513 | dqrem897 remainder 123e1 200000000 -> 1230
|
| 514 | dqrem899 remainder 123e1 20000000 -> 1230
|
| 515 | dqrem900 remainder 123e1 2000000 -> 1230
|
| 516 | dqrem901 remainder 123e1 200000 -> 1230
|
| 517 | dqrem902 remainder 123e1 20000 -> 1230
|
| 518 | dqrem903 remainder 123e1 2000 -> 1230
|
| 519 | dqrem904 remainder 123e1 200 -> 30
|
| 520 | dqrem905 remainder 123e1 20 -> 10
|
| 521 | dqrem906 remainder 123e1 2 -> 0
|
| 522 |
|
| 523 | dqrem910 remainder 123e1 5000000000000000 -> 1230
|
| 524 | dqrem911 remainder 123e1 500000000000000 -> 1230
|
| 525 | dqrem912 remainder 123e1 50000000000000 -> 1230
|
| 526 | dqrem913 remainder 123e1 5000000000000 -> 1230
|
| 527 | dqrem914 remainder 123e1 500000000000 -> 1230
|
| 528 | dqrem915 remainder 123e1 50000000000 -> 1230
|
| 529 | dqrem916 remainder 123e1 5000000000 -> 1230
|
| 530 | dqrem917 remainder 123e1 500000000 -> 1230
|
| 531 | dqrem919 remainder 123e1 50000000 -> 1230
|
| 532 | dqrem920 remainder 123e1 5000000 -> 1230
|
| 533 | dqrem921 remainder 123e1 500000 -> 1230
|
| 534 | dqrem922 remainder 123e1 50000 -> 1230
|
| 535 | dqrem923 remainder 123e1 5000 -> 1230
|
| 536 | dqrem924 remainder 123e1 500 -> 230
|
| 537 | dqrem925 remainder 123e1 50 -> 30
|
| 538 | dqrem926 remainder 123e1 5 -> 0
|
| 539 |
|
| 540 | dqrem930 remainder 123e1 9000000000000000 -> 1230
|
| 541 | dqrem931 remainder 123e1 900000000000000 -> 1230
|
| 542 | dqrem932 remainder 123e1 90000000000000 -> 1230
|
| 543 | dqrem933 remainder 123e1 9000000000000 -> 1230
|
| 544 | dqrem934 remainder 123e1 900000000000 -> 1230
|
| 545 | dqrem935 remainder 123e1 90000000000 -> 1230
|
| 546 | dqrem936 remainder 123e1 9000000000 -> 1230
|
| 547 | dqrem937 remainder 123e1 900000000 -> 1230
|
| 548 | dqrem939 remainder 123e1 90000000 -> 1230
|
| 549 | dqrem940 remainder 123e1 9000000 -> 1230
|
| 550 | dqrem941 remainder 123e1 900000 -> 1230
|
| 551 | dqrem942 remainder 123e1 90000 -> 1230
|
| 552 | dqrem943 remainder 123e1 9000 -> 1230
|
| 553 | dqrem944 remainder 123e1 900 -> 330
|
| 554 | dqrem945 remainder 123e1 90 -> 60
|
| 555 | dqrem946 remainder 123e1 9 -> 6
|
| 556 |
|
| 557 | dqrem950 remainder 123e1 1000000000000000 -> 1230
|
| 558 | dqrem961 remainder 123e1 2999999999999999 -> 1230
|
| 559 | dqrem962 remainder 123e1 3999999999999999 -> 1230
|
| 560 | dqrem963 remainder 123e1 4999999999999999 -> 1230
|
| 561 | dqrem964 remainder 123e1 5999999999999999 -> 1230
|
| 562 | dqrem965 remainder 123e1 6999999999999999 -> 1230
|
| 563 | dqrem966 remainder 123e1 7999999999999999 -> 1230
|
| 564 | dqrem967 remainder 123e1 8999999999999999 -> 1230
|
| 565 | dqrem968 remainder 123e1 9999999999999999 -> 1230
|
| 566 | dqrem969 remainder 123e1 9876543210987654 -> 1230
|
| 567 |
|
| 568 | dqrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally
|
| 569 |
|
| 570 | -- overflow and underflow tests [from divide]
|
| 571 | dqrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible
|
| 572 | dqrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible
|
| 573 | dqrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible
|
| 574 | dqrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible
|
| 575 | dqrem1055 remainder 1e-277 1e+311 -> 1E-277
|
| 576 | dqrem1056 remainder 1e-277 -1e+311 -> 1E-277
|
| 577 | dqrem1057 remainder -1e-277 1e+311 -> -1E-277
|
| 578 | dqrem1058 remainder -1e-277 -1e+311 -> -1E-277
|
| 579 |
|
| 580 | -- Gyuris example
|
| 581 | dqrem1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143
|
| 582 |
|
| Guido van Rossum | 0d3fb8a | 2007-11-26 23:23:18 +0000 | [diff] [blame] | 583 | -- destructive subtract
|
| 584 | dqrem1120 remainder 1234567890123456789012345678901234 1.000000000000000000000000000000001 -> 0.765432109876543210987654321098768
|
| 585 | dqrem1121 remainder 1234567890123456789012345678901234 1.00000000000000000000000000000001 -> 0.65432109876543210987654321098779
|
| 586 | dqrem1122 remainder 1234567890123456789012345678901234 1.0000000000000000000000000000001 -> 0.5432109876543210987654321098890
|
| 587 | dqrem1123 remainder 1234567890123456789012345678901255 4.000000000000000000000000000000001 -> 2.691358027469135802746913580274687
|
| 588 | dqrem1124 remainder 1234567890123456789012345678901234 4.000000000000000000000000000000001 -> 1.691358027469135802746913580274692
|
| 589 | dqrem1125 remainder 1234567890123456789012345678901234 4.9999999999999999999999999999999 -> 3.6913578024691357802469135780251
|
| 590 | dqrem1126 remainder 1234567890123456789012345678901234 4.99999999999999999999999999999999 -> 1.46913578024691357802469135780247
|
| 591 | dqrem1127 remainder 1234567890123456789012345678901234 4.999999999999999999999999999999999 -> 4.246913578024691357802469135780246
|
| 592 | dqrem1128 remainder 1234567890123456789012345678901234 5.0000000000000000000000000000001 -> 4.3086421975308642197530864219759
|
| 593 |
|
| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 594 | -- Null tests
|
| 595 | dqrem1000 remainder 10 # -> NaN Invalid_operation
|
| 596 | dqrem1001 remainder # 10 -> NaN Invalid_operation
|
| 597 |
|