1------------------------------------------------------------------------ 2-- remainderNear.decTest -- decimal remainder-near (IEEE remainder) -- 3-- Copyright (c) IBM Corporation, 1981, 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@uk.ibm.com -- 19------------------------------------------------------------------------ 20version: 2.59 21 22extended: 1 23precision: 9 24rounding: half_up 25maxExponent: 384 26minexponent: -383 27 28rmnx001 remaindernear 1 1 -> 0 29rmnx002 remaindernear 2 1 -> 0 30rmnx003 remaindernear 1 2 -> 1 31rmnx004 remaindernear 2 2 -> 0 32rmnx005 remaindernear 0 1 -> 0 33rmnx006 remaindernear 0 2 -> 0 34rmnx007 remaindernear 1 3 -> 1 35rmnx008 remaindernear 2 3 -> -1 36rmnx009 remaindernear 3 3 -> 0 37 38rmnx010 remaindernear 2.4 1 -> 0.4 39rmnx011 remaindernear 2.4 -1 -> 0.4 40rmnx012 remaindernear -2.4 1 -> -0.4 41rmnx013 remaindernear -2.4 -1 -> -0.4 42rmnx014 remaindernear 2.40 1 -> 0.40 43rmnx015 remaindernear 2.400 1 -> 0.400 44rmnx016 remaindernear 2.4 2 -> 0.4 45rmnx017 remaindernear 2.400 2 -> 0.400 46rmnx018 remaindernear 2. 2 -> 0 47rmnx019 remaindernear 20 20 -> 0 48 49rmnx020 remaindernear 187 187 -> 0 50rmnx021 remaindernear 5 2 -> 1 51rmnx022 remaindernear 5 2.0 -> 1.0 52rmnx023 remaindernear 5 2.000 -> 1.000 53rmnx024 remaindernear 5 0.200 -> 0.000 54rmnx025 remaindernear 5 0.200 -> 0.000 55 56rmnx030 remaindernear 1 2 -> 1 57rmnx031 remaindernear 1 4 -> 1 58rmnx032 remaindernear 1 8 -> 1 59rmnx033 remaindernear 1 16 -> 1 60rmnx034 remaindernear 1 32 -> 1 61rmnx035 remaindernear 1 64 -> 1 62rmnx040 remaindernear 1 -2 -> 1 63rmnx041 remaindernear 1 -4 -> 1 64rmnx042 remaindernear 1 -8 -> 1 65rmnx043 remaindernear 1 -16 -> 1 66rmnx044 remaindernear 1 -32 -> 1 67rmnx045 remaindernear 1 -64 -> 1 68rmnx050 remaindernear -1 2 -> -1 69rmnx051 remaindernear -1 4 -> -1 70rmnx052 remaindernear -1 8 -> -1 71rmnx053 remaindernear -1 16 -> -1 72rmnx054 remaindernear -1 32 -> -1 73rmnx055 remaindernear -1 64 -> -1 74rmnx060 remaindernear -1 -2 -> -1 75rmnx061 remaindernear -1 -4 -> -1 76rmnx062 remaindernear -1 -8 -> -1 77rmnx063 remaindernear -1 -16 -> -1 78rmnx064 remaindernear -1 -32 -> -1 79rmnx065 remaindernear -1 -64 -> -1 80 81rmnx066 remaindernear 999999997 1 -> 0 82rmnx067 remaindernear 999999997.4 1 -> 0.4 83rmnx068 remaindernear 999999997.5 1 -> -0.5 84rmnx069 remaindernear 999999997.9 1 -> -0.1 85rmnx070 remaindernear 999999997.999 1 -> -0.001 86 87rmnx071 remaindernear 999999998 1 -> 0 88rmnx072 remaindernear 999999998.4 1 -> 0.4 89rmnx073 remaindernear 999999998.5 1 -> 0.5 90rmnx074 remaindernear 999999998.9 1 -> -0.1 91rmnx075 remaindernear 999999998.999 1 -> -0.001 92 93rmnx076 remaindernear 999999999 1 -> 0 94rmnx077 remaindernear 999999999.4 1 -> 0.4 95rmnx078 remaindernear 999999999.5 1 -> NaN Division_impossible 96rmnx079 remaindernear 999999999.9 1 -> NaN Division_impossible 97rmnx080 remaindernear 999999999.999 1 -> NaN Division_impossible 98 99precision: 6 100rmnx081 remaindernear 999999999 1 -> NaN Division_impossible 101rmnx082 remaindernear 99999999 1 -> NaN Division_impossible 102rmnx083 remaindernear 9999999 1 -> NaN Division_impossible 103rmnx084 remaindernear 999999 1 -> 0 104rmnx085 remaindernear 99999 1 -> 0 105rmnx086 remaindernear 9999 1 -> 0 106rmnx087 remaindernear 999 1 -> 0 107rmnx088 remaindernear 99 1 -> 0 108rmnx089 remaindernear 9 1 -> 0 109 110precision: 9 111rmnx090 remaindernear 0. 1 -> 0 112rmnx091 remaindernear .0 1 -> 0.0 113rmnx092 remaindernear 0.00 1 -> 0.00 114rmnx093 remaindernear 0.00E+9 1 -> 0 115rmnx094 remaindernear 0.0000E-50 1 -> 0E-54 116 117 118-- Various flavours of remaindernear by 0 119precision: 9 120maxexponent: 999999999 121minexponent: -999999999 122rmnx101 remaindernear 0 0 -> NaN Division_undefined 123rmnx102 remaindernear 0 -0 -> NaN Division_undefined 124rmnx103 remaindernear -0 0 -> NaN Division_undefined 125rmnx104 remaindernear -0 -0 -> NaN Division_undefined 126rmnx105 remaindernear 0.0E5 0 -> NaN Division_undefined 127rmnx106 remaindernear 0.000 0 -> NaN Division_undefined 128-- [Some think this next group should be Division_by_zero exception, 129-- but IEEE 854 is explicit that it is Invalid operation .. for 130-- remaindernear-near, anyway] 131rmnx107 remaindernear 0.0001 0 -> NaN Invalid_operation 132rmnx108 remaindernear 0.01 0 -> NaN Invalid_operation 133rmnx109 remaindernear 0.1 0 -> NaN Invalid_operation 134rmnx110 remaindernear 1 0 -> NaN Invalid_operation 135rmnx111 remaindernear 1 0.0 -> NaN Invalid_operation 136rmnx112 remaindernear 10 0.0 -> NaN Invalid_operation 137rmnx113 remaindernear 1E+100 0.0 -> NaN Invalid_operation 138rmnx114 remaindernear 1E+1000 0 -> NaN Invalid_operation 139rmnx115 remaindernear 0.0001 -0 -> NaN Invalid_operation 140rmnx116 remaindernear 0.01 -0 -> NaN Invalid_operation 141rmnx119 remaindernear 0.1 -0 -> NaN Invalid_operation 142rmnx120 remaindernear 1 -0 -> NaN Invalid_operation 143rmnx121 remaindernear 1 -0.0 -> NaN Invalid_operation 144rmnx122 remaindernear 10 -0.0 -> NaN Invalid_operation 145rmnx123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation 146rmnx124 remaindernear 1E+1000 -0 -> NaN Invalid_operation 147-- and zeros on left 148rmnx130 remaindernear 0 1 -> 0 149rmnx131 remaindernear 0 -1 -> 0 150rmnx132 remaindernear 0.0 1 -> 0.0 151rmnx133 remaindernear 0.0 -1 -> 0.0 152rmnx134 remaindernear -0 1 -> -0 153rmnx135 remaindernear -0 -1 -> -0 154rmnx136 remaindernear -0.0 1 -> -0.0 155rmnx137 remaindernear -0.0 -1 -> -0.0 156 157-- 0.5ers 158rmmx143 remaindernear 0.5 2 -> 0.5 159rmmx144 remaindernear 0.5 2.1 -> 0.5 160rmmx145 remaindernear 0.5 2.01 -> 0.50 161rmmx146 remaindernear 0.5 2.001 -> 0.500 162rmmx147 remaindernear 0.50 2 -> 0.50 163rmmx148 remaindernear 0.50 2.01 -> 0.50 164rmmx149 remaindernear 0.50 2.001 -> 0.500 165 166-- some differences from remainder 167rmnx150 remaindernear 0.4 1.020 -> 0.400 168rmnx151 remaindernear 0.50 1.020 -> 0.500 169rmnx152 remaindernear 0.51 1.020 -> 0.510 170rmnx153 remaindernear 0.52 1.020 -> -0.500 171rmnx154 remaindernear 0.6 1.020 -> -0.420 172rmnx155 remaindernear 0.49 1 -> 0.49 173rmnx156 remaindernear 0.50 1 -> 0.50 174rmnx157 remaindernear 1.50 1 -> -0.50 175rmnx158 remaindernear 2.50 1 -> 0.50 176rmnx159 remaindernear 9.50 1 -> -0.50 177rmnx160 remaindernear 0.51 1 -> -0.49 178 179-- the nasty division-by-1 cases 180rmnx161 remaindernear 0.4 1 -> 0.4 181rmnx162 remaindernear 0.45 1 -> 0.45 182rmnx163 remaindernear 0.455 1 -> 0.455 183rmnx164 remaindernear 0.4555 1 -> 0.4555 184rmnx165 remaindernear 0.45555 1 -> 0.45555 185rmnx166 remaindernear 0.455555 1 -> 0.455555 186rmnx167 remaindernear 0.4555555 1 -> 0.4555555 187rmnx168 remaindernear 0.45555555 1 -> 0.45555555 188rmnx169 remaindernear 0.455555555 1 -> 0.455555555 189-- with spill... 190rmnx171 remaindernear 0.5 1 -> 0.5 191rmnx172 remaindernear 0.55 1 -> -0.45 192rmnx173 remaindernear 0.555 1 -> -0.445 193rmnx174 remaindernear 0.5555 1 -> -0.4445 194rmnx175 remaindernear 0.55555 1 -> -0.44445 195rmnx176 remaindernear 0.555555 1 -> -0.444445 196rmnx177 remaindernear 0.5555555 1 -> -0.4444445 197rmnx178 remaindernear 0.55555555 1 -> -0.44444445 198rmnx179 remaindernear 0.555555555 1 -> -0.444444445 199 200-- progression 201rmnx180 remaindernear 1 1 -> 0 202rmnx181 remaindernear 1 2 -> 1 203rmnx182 remaindernear 1 3 -> 1 204rmnx183 remaindernear 1 4 -> 1 205rmnx184 remaindernear 1 5 -> 1 206rmnx185 remaindernear 1 6 -> 1 207rmnx186 remaindernear 1 7 -> 1 208rmnx187 remaindernear 1 8 -> 1 209rmnx188 remaindernear 1 9 -> 1 210rmnx189 remaindernear 1 10 -> 1 211rmnx190 remaindernear 1 1 -> 0 212rmnx191 remaindernear 2 1 -> 0 213rmnx192 remaindernear 3 1 -> 0 214rmnx193 remaindernear 4 1 -> 0 215rmnx194 remaindernear 5 1 -> 0 216rmnx195 remaindernear 6 1 -> 0 217rmnx196 remaindernear 7 1 -> 0 218rmnx197 remaindernear 8 1 -> 0 219rmnx198 remaindernear 9 1 -> 0 220rmnx199 remaindernear 10 1 -> 0 221 222 223-- Various flavours of remaindernear by 0 224maxexponent: 999999999 225minexponent: -999999999 226rmnx201 remaindernear 0 0 -> NaN Division_undefined 227rmnx202 remaindernear 0.0E5 0 -> NaN Division_undefined 228rmnx203 remaindernear 0.000 0 -> NaN Division_undefined 229rmnx204 remaindernear 0.0001 0 -> NaN Invalid_operation 230rmnx205 remaindernear 0.01 0 -> NaN Invalid_operation 231rmnx206 remaindernear 0.1 0 -> NaN Invalid_operation 232rmnx207 remaindernear 1 0 -> NaN Invalid_operation 233rmnx208 remaindernear 1 0.0 -> NaN Invalid_operation 234rmnx209 remaindernear 10 0.0 -> NaN Invalid_operation 235rmnx210 remaindernear 1E+100 0.0 -> NaN Invalid_operation 236rmnx211 remaindernear 1E+1000 0 -> NaN Invalid_operation 237 238-- tests from the extended specification 239rmnx221 remaindernear 2.1 3 -> -0.9 240rmnx222 remaindernear 10 6 -> -2 241rmnx223 remaindernear 10 3 -> 1 242rmnx224 remaindernear -10 3 -> -1 243rmnx225 remaindernear 10.2 1 -> 0.2 244rmnx226 remaindernear 10 0.3 -> 0.1 245rmnx227 remaindernear 3.6 1.3 -> -0.3 246 247-- some differences from remainder 248rmnx231 remaindernear 0.4 1.020 -> 0.400 249rmnx232 remaindernear 0.50 1.020 -> 0.500 250rmnx233 remaindernear 0.51 1.020 -> 0.510 251rmnx234 remaindernear 0.52 1.020 -> -0.500 252rmnx235 remaindernear 0.6 1.020 -> -0.420 253 254-- test some cases that are close to exponent overflow 255maxexponent: 999999999 256minexponent: -999999999 257rmnx270 remaindernear 1 1e999999999 -> 1 258rmnx271 remaindernear 1 0.9e999999999 -> 1 259rmnx272 remaindernear 1 0.99e999999999 -> 1 260rmnx273 remaindernear 1 0.999999999e999999999 -> 1 261rmnx274 remaindernear 9e999999999 1 -> NaN Division_impossible 262rmnx275 remaindernear 9.9e999999999 1 -> NaN Division_impossible 263rmnx276 remaindernear 9.99e999999999 1 -> NaN Division_impossible 264rmnx277 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible 265 266rmnx280 remaindernear 0.1 9e-999999999 -> NaN Division_impossible 267rmnx281 remaindernear 0.1 99e-999999999 -> NaN Division_impossible 268rmnx282 remaindernear 0.1 999e-999999999 -> NaN Division_impossible 269 270rmnx283 remaindernear 0.1 9e-999999998 -> NaN Division_impossible 271rmnx284 remaindernear 0.1 99e-999999998 -> NaN Division_impossible 272rmnx285 remaindernear 0.1 999e-999999998 -> NaN Division_impossible 273rmnx286 remaindernear 0.1 999e-999999997 -> NaN Division_impossible 274rmnx287 remaindernear 0.1 9999e-999999997 -> NaN Division_impossible 275rmnx288 remaindernear 0.1 99999e-999999997 -> NaN Division_impossible 276 277-- rmnx3xx are from DiagBigDecimal 278rmnx301 remaindernear 1 3 -> 1 279rmnx302 remaindernear 5 5 -> 0 280rmnx303 remaindernear 13 10 -> 3 281rmnx304 remaindernear 13 50 -> 13 282rmnx305 remaindernear 13 100 -> 13 283rmnx306 remaindernear 13 1000 -> 13 284rmnx307 remaindernear .13 1 -> 0.13 285rmnx308 remaindernear 0.133 1 -> 0.133 286rmnx309 remaindernear 0.1033 1 -> 0.1033 287rmnx310 remaindernear 1.033 1 -> 0.033 288rmnx311 remaindernear 10.33 1 -> 0.33 289rmnx312 remaindernear 10.33 10 -> 0.33 290rmnx313 remaindernear 103.3 1 -> 0.3 291rmnx314 remaindernear 133 10 -> 3 292rmnx315 remaindernear 1033 10 -> 3 293rmnx316 remaindernear 1033 50 -> -17 294rmnx317 remaindernear 101.0 3 -> -1.0 295rmnx318 remaindernear 102.0 3 -> 0.0 296rmnx319 remaindernear 103.0 3 -> 1.0 297rmnx320 remaindernear 2.40 1 -> 0.40 298rmnx321 remaindernear 2.400 1 -> 0.400 299rmnx322 remaindernear 2.4 1 -> 0.4 300rmnx323 remaindernear 2.4 2 -> 0.4 301rmnx324 remaindernear 2.400 2 -> 0.400 302rmnx325 remaindernear 1 0.3 -> 0.1 303rmnx326 remaindernear 1 0.30 -> 0.10 304rmnx327 remaindernear 1 0.300 -> 0.100 305rmnx328 remaindernear 1 0.3000 -> 0.1000 306rmnx329 remaindernear 1.0 0.3 -> 0.1 307rmnx330 remaindernear 1.00 0.3 -> 0.10 308rmnx331 remaindernear 1.000 0.3 -> 0.100 309rmnx332 remaindernear 1.0000 0.3 -> 0.1000 310rmnx333 remaindernear 0.5 2 -> 0.5 311rmnx334 remaindernear 0.5 2.1 -> 0.5 312rmnx335 remaindernear 0.5 2.01 -> 0.50 313rmnx336 remaindernear 0.5 2.001 -> 0.500 314rmnx337 remaindernear 0.50 2 -> 0.50 315rmnx338 remaindernear 0.50 2.01 -> 0.50 316rmnx339 remaindernear 0.50 2.001 -> 0.500 317 318rmnx340 remaindernear 0.5 0.5000001 -> -1E-7 319rmnx341 remaindernear 0.5 0.50000001 -> -1E-8 320rmnx342 remaindernear 0.5 0.500000001 -> -1E-9 321rmnx343 remaindernear 0.5 0.5000000001 -> -1E-10 322rmnx344 remaindernear 0.5 0.50000000001 -> -1E-11 323rmnx345 remaindernear 0.5 0.4999999 -> 1E-7 324rmnx346 remaindernear 0.5 0.49999999 -> 1E-8 325rmnx347 remaindernear 0.5 0.499999999 -> 1E-9 326rmnx348 remaindernear 0.5 0.4999999999 -> 1E-10 327rmnx349 remaindernear 0.5 0.49999999999 -> 1E-11 328 329rmnx350 remaindernear 0.03 7 -> 0.03 330rmnx351 remaindernear 5 2 -> 1 331rmnx352 remaindernear 4.1 2 -> 0.1 332rmnx353 remaindernear 4.01 2 -> 0.01 333rmnx354 remaindernear 4.001 2 -> 0.001 334rmnx355 remaindernear 4.0001 2 -> 0.0001 335rmnx356 remaindernear 4.00001 2 -> 0.00001 336rmnx357 remaindernear 4.000001 2 -> 0.000001 337rmnx358 remaindernear 4.0000001 2 -> 1E-7 338 339rmnx360 remaindernear 1.2 0.7345 -> -0.2690 340rmnx361 remaindernear 0.8 12 -> 0.8 341rmnx362 remaindernear 0.8 0.2 -> 0.0 342rmnx363 remaindernear 0.8 0.3 -> -0.1 343rmnx364 remaindernear 0.800 12 -> 0.800 344rmnx365 remaindernear 0.800 1.7 -> 0.800 345rmnx366 remaindernear 2.400 2 -> 0.400 346 347precision: 6 348rmnx371 remaindernear 2.400 2 -> 0.400 349precision: 3 350rmnx372 remaindernear 12345678900000 12e+12 -> 3.46E+11 Inexact Rounded 351 352precision: 5 353rmnx381 remaindernear 12345 1 -> 0 354rmnx382 remaindernear 12345 1.0001 -> -0.2344 355rmnx383 remaindernear 12345 1.001 -> -0.333 356rmnx384 remaindernear 12345 1.01 -> -0.23 357rmnx385 remaindernear 12345 1.1 -> -0.3 358rmnx386 remaindernear 12355 4 -> -1 359rmnx387 remaindernear 12345 4 -> 1 360rmnx388 remaindernear 12355 4.0001 -> -1.3089 361rmnx389 remaindernear 12345 4.0001 -> 0.6914 362rmnx390 remaindernear 12345 4.9 -> 1.9 363rmnx391 remaindernear 12345 4.99 -> -0.26 364rmnx392 remaindernear 12345 4.999 -> 2.469 365rmnx393 remaindernear 12345 4.9999 -> 0.2469 366rmnx394 remaindernear 12345 5 -> 0 367rmnx395 remaindernear 12345 5.0001 -> -0.2469 368rmnx396 remaindernear 12345 5.001 -> -2.469 369rmnx397 remaindernear 12345 5.01 -> 0.36 370rmnx398 remaindernear 12345 5.1 -> -2.1 371 372precision: 9 373-- some nasty division-by-1 cases [some similar above] 374rmnx401 remaindernear 0.4 1 -> 0.4 375rmnx402 remaindernear 0.45 1 -> 0.45 376rmnx403 remaindernear 0.455 1 -> 0.455 377rmnx404 remaindernear 0.4555 1 -> 0.4555 378rmnx405 remaindernear 0.45555 1 -> 0.45555 379rmnx406 remaindernear 0.455555 1 -> 0.455555 380rmnx407 remaindernear 0.4555555 1 -> 0.4555555 381rmnx408 remaindernear 0.45555555 1 -> 0.45555555 382rmnx409 remaindernear 0.455555555 1 -> 0.455555555 383 384-- some tricky LHSs 385rmnx420 remaindernear 99999999.999999999 1E+8 -> -1E-9 386rmnx421 remaindernear 999999999.999999999 1E+9 -> -1E-9 387precision: 9 388rmnx430 remaindernear 0.455555555 1 -> 0.455555555 389precision: 8 390rmnx431 remaindernear 0.455555555 1 -> 0.45555556 Inexact Rounded 391precision: 7 392rmnx432 remaindernear 0.455555555 1 -> 0.4555556 Inexact Rounded 393precision: 6 394rmnx433 remaindernear 0.455555555 1 -> 0.455556 Inexact Rounded 395precision: 5 396rmnx434 remaindernear 0.455555555 1 -> 0.45556 Inexact Rounded 397precision: 4 398rmnx435 remaindernear 0.455555555 1 -> 0.4556 Inexact Rounded 399precision: 3 400rmnx436 remaindernear 0.455555555 1 -> 0.456 Inexact Rounded 401precision: 2 402rmnx437 remaindernear 0.455555555 1 -> 0.46 Inexact Rounded 403precision: 1 404rmnx438 remaindernear 0.455555555 1 -> 0.5 Inexact Rounded 405 406-- early tests; from text descriptions 407precision: 9 408rmnx601 remaindernear 10 6 -> -2 409rmnx602 remaindernear -10 6 -> 2 410rmnx603 remaindernear 11 3 -> -1 411rmnx604 remaindernear 11 5 -> 1 412rmnx605 remaindernear 7.7 8 -> -0.3 413rmnx606 remaindernear 31.5 3 -> 1.5 -- i=10 414rmnx607 remaindernear 34.5 3 -> -1.5 -- i=11 415 416-- zero signs 417rmnx650 remaindernear 1 1 -> 0 418rmnx651 remaindernear -1 1 -> -0 419rmnx652 remaindernear 1 -1 -> 0 420rmnx653 remaindernear -1 -1 -> -0 421rmnx654 remaindernear 0 1 -> 0 422rmnx655 remaindernear -0 1 -> -0 423rmnx656 remaindernear 0 -1 -> 0 424rmnx657 remaindernear -0 -1 -> -0 425rmnx658 remaindernear 0.00 1 -> 0.00 426rmnx659 remaindernear -0.00 1 -> -0.00 427 428-- Specials 429rmnx680 remaindernear Inf -Inf -> NaN Invalid_operation 430rmnx681 remaindernear Inf -1000 -> NaN Invalid_operation 431rmnx682 remaindernear Inf -1 -> NaN Invalid_operation 432rmnx683 remaindernear Inf 0 -> NaN Invalid_operation 433rmnx684 remaindernear Inf -0 -> NaN Invalid_operation 434rmnx685 remaindernear Inf 1 -> NaN Invalid_operation 435rmnx686 remaindernear Inf 1000 -> NaN Invalid_operation 436rmnx687 remaindernear Inf Inf -> NaN Invalid_operation 437rmnx688 remaindernear -1000 Inf -> -1000 438rmnx689 remaindernear -Inf Inf -> NaN Invalid_operation 439rmnx691 remaindernear -1 Inf -> -1 440rmnx692 remaindernear 0 Inf -> 0 441rmnx693 remaindernear -0 Inf -> -0 442rmnx694 remaindernear 1 Inf -> 1 443rmnx695 remaindernear 1000 Inf -> 1000 444rmnx696 remaindernear Inf Inf -> NaN Invalid_operation 445 446rmnx700 remaindernear -Inf -Inf -> NaN Invalid_operation 447rmnx701 remaindernear -Inf -1000 -> NaN Invalid_operation 448rmnx702 remaindernear -Inf -1 -> NaN Invalid_operation 449rmnx703 remaindernear -Inf -0 -> NaN Invalid_operation 450rmnx704 remaindernear -Inf 0 -> NaN Invalid_operation 451rmnx705 remaindernear -Inf 1 -> NaN Invalid_operation 452rmnx706 remaindernear -Inf 1000 -> NaN Invalid_operation 453rmnx707 remaindernear -Inf Inf -> NaN Invalid_operation 454rmnx708 remaindernear -Inf -Inf -> NaN Invalid_operation 455rmnx709 remaindernear -1000 Inf -> -1000 456rmnx710 remaindernear -1 -Inf -> -1 457rmnx711 remaindernear -0 -Inf -> -0 458rmnx712 remaindernear 0 -Inf -> 0 459rmnx713 remaindernear 1 -Inf -> 1 460rmnx714 remaindernear 1000 -Inf -> 1000 461rmnx715 remaindernear Inf -Inf -> NaN Invalid_operation 462 463rmnx721 remaindernear NaN -Inf -> NaN 464rmnx722 remaindernear NaN -1000 -> NaN 465rmnx723 remaindernear NaN -1 -> NaN 466rmnx724 remaindernear NaN -0 -> NaN 467rmnx725 remaindernear NaN 0 -> NaN 468rmnx726 remaindernear NaN 1 -> NaN 469rmnx727 remaindernear NaN 1000 -> NaN 470rmnx728 remaindernear NaN Inf -> NaN 471rmnx729 remaindernear NaN NaN -> NaN 472rmnx730 remaindernear -Inf NaN -> NaN 473rmnx731 remaindernear -1000 NaN -> NaN 474rmnx732 remaindernear -1 -NaN -> -NaN 475rmnx733 remaindernear -0 NaN -> NaN 476rmnx734 remaindernear 0 NaN -> NaN 477rmnx735 remaindernear 1 NaN -> NaN 478rmnx736 remaindernear 1000 NaN -> NaN 479rmnx737 remaindernear Inf NaN -> NaN 480 481rmnx741 remaindernear sNaN -Inf -> NaN Invalid_operation 482rmnx742 remaindernear sNaN -1000 -> NaN Invalid_operation 483rmnx743 remaindernear -sNaN -1 -> -NaN Invalid_operation 484rmnx744 remaindernear sNaN -0 -> NaN Invalid_operation 485rmnx745 remaindernear sNaN 0 -> NaN Invalid_operation 486rmnx746 remaindernear sNaN 1 -> NaN Invalid_operation 487rmnx747 remaindernear sNaN 1000 -> NaN Invalid_operation 488rmnx749 remaindernear sNaN NaN -> NaN Invalid_operation 489rmnx750 remaindernear sNaN sNaN -> NaN Invalid_operation 490rmnx751 remaindernear NaN sNaN -> NaN Invalid_operation 491rmnx752 remaindernear -Inf sNaN -> NaN Invalid_operation 492rmnx753 remaindernear -1000 sNaN -> NaN Invalid_operation 493rmnx754 remaindernear -1 sNaN -> NaN Invalid_operation 494rmnx755 remaindernear -0 -sNaN -> -NaN Invalid_operation 495rmnx756 remaindernear 0 sNaN -> NaN Invalid_operation 496rmnx757 remaindernear 1 sNaN -> NaN Invalid_operation 497rmnx758 remaindernear 1000 sNaN -> NaN Invalid_operation 498rmnx759 remaindernear Inf sNaN -> NaN Invalid_operation 499rmnx760 remaindernear NaN sNaN -> NaN Invalid_operation 500 501-- propaging NaNs 502rmnx761 remaindernear NaN1 NaN7 -> NaN1 503rmnx762 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation 504rmnx763 remaindernear NaN3 -sNaN9 -> -NaN9 Invalid_operation 505rmnx764 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation 506rmnx765 remaindernear 15 NaN11 -> NaN11 507rmnx766 remaindernear NaN6 NaN12 -> NaN6 508rmnx767 remaindernear Inf -NaN13 -> -NaN13 509rmnx768 remaindernear NaN14 -Inf -> NaN14 510rmnx769 remaindernear 0 NaN15 -> NaN15 511rmnx770 remaindernear -NaN16 -0 -> -NaN16 512 513-- test some cases that are close to exponent overflow 514maxexponent: 999999999 515minexponent: -999999999 516rmnx780 remaindernear 1 1e999999999 -> 1 517rmnx781 remaindernear 1 0.9e999999999 -> 1 518rmnx782 remaindernear 1 0.99e999999999 -> 1 519rmnx783 remaindernear 1 0.999999999e999999999 -> 1 520rmnx784 remaindernear 9e999999999 1 -> NaN Division_impossible 521rmnx785 remaindernear 9.9e999999999 1 -> NaN Division_impossible 522rmnx786 remaindernear 9.99e999999999 1 -> NaN Division_impossible 523rmnx787 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible 524 525 526-- overflow and underflow tests [from divide] 527precision: 9 528maxexponent: 999999999 529minexponent: -999999999 530rmnx790 remaindernear +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded 531rmnx791 remaindernear 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible 532rmnx792 remaindernear +0.100 9E+999999999 -> 0.100 533rmnx793 remaindernear 9E-999999999 +9.100 -> 9E-999999999 534rmnx795 remaindernear -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded 535rmnx796 remaindernear 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible 536rmnx797 remaindernear -0.100 9E+999999999 -> -0.100 537rmnx798 remaindernear 9E-999999999 -9.100 -> 9E-999999999 538 539-- long operands checks 540maxexponent: 999 541minexponent: -999 542precision: 9 543rmnx801 remaindernear 12345678000 100 -> 0 544rmnx802 remaindernear 1 12345678000 -> 1 545rmnx803 remaindernear 1234567800 10 -> 0 546rmnx804 remaindernear 1 1234567800 -> 1 547rmnx805 remaindernear 1234567890 10 -> 0 548rmnx806 remaindernear 1 1234567890 -> 1 549rmnx807 remaindernear 1234567891 10 -> 1 550rmnx808 remaindernear 1 1234567891 -> 1 551rmnx809 remaindernear 12345678901 100 -> 1 552rmnx810 remaindernear 1 12345678901 -> 1 553rmnx811 remaindernear 1234567896 10 -> -4 554rmnx812 remaindernear 1 1234567896 -> 1 555 556precision: 15 557rmnx841 remaindernear 12345678000 100 -> 0 558rmnx842 remaindernear 1 12345678000 -> 1 559rmnx843 remaindernear 1234567800 10 -> 0 560rmnx844 remaindernear 1 1234567800 -> 1 561rmnx845 remaindernear 1234567890 10 -> 0 562rmnx846 remaindernear 1 1234567890 -> 1 563rmnx847 remaindernear 1234567891 10 -> 1 564rmnx848 remaindernear 1 1234567891 -> 1 565rmnx849 remaindernear 12345678901 100 -> 1 566rmnx850 remaindernear 1 12345678901 -> 1 567rmnx851 remaindernear 1234567896 10 -> -4 568rmnx852 remaindernear 1 1234567896 -> 1 569 570-- Null tests 571rmnx900 remaindernear 10 # -> NaN Invalid_operation 572rmnx901 remaindernear # 10 -> NaN Invalid_operation 573