| ------------------------------------------------------------------------ |
| -- remainderNear.decTest -- decimal remainder-near (IEEE remainder) -- |
| -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. -- |
| ------------------------------------------------------------------------ |
| -- Please see the document "General Decimal Arithmetic Testcases" -- |
| -- at http://www2.hursley.ibm.com/decimal for the description of -- |
| -- these testcases. -- |
| -- -- |
| -- These testcases are experimental ('beta' versions), and they -- |
| -- may contain errors. They are offered on an as-is basis. In -- |
| -- particular, achieving the same results as the tests here is not -- |
| -- a guarantee that an implementation complies with any Standard -- |
| -- or specification. The tests are not exhaustive. -- |
| -- -- |
| -- Please send comments, suggestions, and corrections to the author: -- |
| -- Mike Cowlishaw, IBM Fellow -- |
| -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK -- |
| -- mfc@uk.ibm.com -- |
| ------------------------------------------------------------------------ |
| version: 2.59 |
| |
| extended: 1 |
| precision: 9 |
| rounding: half_up |
| maxExponent: 384 |
| minexponent: -383 |
| |
| rmnx001 remaindernear 1 1 -> 0 |
| rmnx002 remaindernear 2 1 -> 0 |
| rmnx003 remaindernear 1 2 -> 1 |
| rmnx004 remaindernear 2 2 -> 0 |
| rmnx005 remaindernear 0 1 -> 0 |
| rmnx006 remaindernear 0 2 -> 0 |
| rmnx007 remaindernear 1 3 -> 1 |
| rmnx008 remaindernear 2 3 -> -1 |
| rmnx009 remaindernear 3 3 -> 0 |
| |
| rmnx010 remaindernear 2.4 1 -> 0.4 |
| rmnx011 remaindernear 2.4 -1 -> 0.4 |
| rmnx012 remaindernear -2.4 1 -> -0.4 |
| rmnx013 remaindernear -2.4 -1 -> -0.4 |
| rmnx014 remaindernear 2.40 1 -> 0.40 |
| rmnx015 remaindernear 2.400 1 -> 0.400 |
| rmnx016 remaindernear 2.4 2 -> 0.4 |
| rmnx017 remaindernear 2.400 2 -> 0.400 |
| rmnx018 remaindernear 2. 2 -> 0 |
| rmnx019 remaindernear 20 20 -> 0 |
| |
| rmnx020 remaindernear 187 187 -> 0 |
| rmnx021 remaindernear 5 2 -> 1 |
| rmnx022 remaindernear 5 2.0 -> 1.0 |
| rmnx023 remaindernear 5 2.000 -> 1.000 |
| rmnx024 remaindernear 5 0.200 -> 0.000 |
| rmnx025 remaindernear 5 0.200 -> 0.000 |
| |
| rmnx030 remaindernear 1 2 -> 1 |
| rmnx031 remaindernear 1 4 -> 1 |
| rmnx032 remaindernear 1 8 -> 1 |
| rmnx033 remaindernear 1 16 -> 1 |
| rmnx034 remaindernear 1 32 -> 1 |
| rmnx035 remaindernear 1 64 -> 1 |
| rmnx040 remaindernear 1 -2 -> 1 |
| rmnx041 remaindernear 1 -4 -> 1 |
| rmnx042 remaindernear 1 -8 -> 1 |
| rmnx043 remaindernear 1 -16 -> 1 |
| rmnx044 remaindernear 1 -32 -> 1 |
| rmnx045 remaindernear 1 -64 -> 1 |
| rmnx050 remaindernear -1 2 -> -1 |
| rmnx051 remaindernear -1 4 -> -1 |
| rmnx052 remaindernear -1 8 -> -1 |
| rmnx053 remaindernear -1 16 -> -1 |
| rmnx054 remaindernear -1 32 -> -1 |
| rmnx055 remaindernear -1 64 -> -1 |
| rmnx060 remaindernear -1 -2 -> -1 |
| rmnx061 remaindernear -1 -4 -> -1 |
| rmnx062 remaindernear -1 -8 -> -1 |
| rmnx063 remaindernear -1 -16 -> -1 |
| rmnx064 remaindernear -1 -32 -> -1 |
| rmnx065 remaindernear -1 -64 -> -1 |
| |
| rmnx066 remaindernear 999999997 1 -> 0 |
| rmnx067 remaindernear 999999997.4 1 -> 0.4 |
| rmnx068 remaindernear 999999997.5 1 -> -0.5 |
| rmnx069 remaindernear 999999997.9 1 -> -0.1 |
| rmnx070 remaindernear 999999997.999 1 -> -0.001 |
| |
| rmnx071 remaindernear 999999998 1 -> 0 |
| rmnx072 remaindernear 999999998.4 1 -> 0.4 |
| rmnx073 remaindernear 999999998.5 1 -> 0.5 |
| rmnx074 remaindernear 999999998.9 1 -> -0.1 |
| rmnx075 remaindernear 999999998.999 1 -> -0.001 |
| |
| rmnx076 remaindernear 999999999 1 -> 0 |
| rmnx077 remaindernear 999999999.4 1 -> 0.4 |
| rmnx078 remaindernear 999999999.5 1 -> NaN Division_impossible |
| rmnx079 remaindernear 999999999.9 1 -> NaN Division_impossible |
| rmnx080 remaindernear 999999999.999 1 -> NaN Division_impossible |
| |
| precision: 6 |
| rmnx081 remaindernear 999999999 1 -> NaN Division_impossible |
| rmnx082 remaindernear 99999999 1 -> NaN Division_impossible |
| rmnx083 remaindernear 9999999 1 -> NaN Division_impossible |
| rmnx084 remaindernear 999999 1 -> 0 |
| rmnx085 remaindernear 99999 1 -> 0 |
| rmnx086 remaindernear 9999 1 -> 0 |
| rmnx087 remaindernear 999 1 -> 0 |
| rmnx088 remaindernear 99 1 -> 0 |
| rmnx089 remaindernear 9 1 -> 0 |
| |
| precision: 9 |
| rmnx090 remaindernear 0. 1 -> 0 |
| rmnx091 remaindernear .0 1 -> 0.0 |
| rmnx092 remaindernear 0.00 1 -> 0.00 |
| rmnx093 remaindernear 0.00E+9 1 -> 0 |
| rmnx094 remaindernear 0.0000E-50 1 -> 0E-54 |
| |
| |
| -- Various flavours of remaindernear by 0 |
| precision: 9 |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| rmnx101 remaindernear 0 0 -> NaN Division_undefined |
| rmnx102 remaindernear 0 -0 -> NaN Division_undefined |
| rmnx103 remaindernear -0 0 -> NaN Division_undefined |
| rmnx104 remaindernear -0 -0 -> NaN Division_undefined |
| rmnx105 remaindernear 0.0E5 0 -> NaN Division_undefined |
| rmnx106 remaindernear 0.000 0 -> NaN Division_undefined |
| -- [Some think this next group should be Division_by_zero exception, |
| -- but IEEE 854 is explicit that it is Invalid operation .. for |
| -- remaindernear-near, anyway] |
| rmnx107 remaindernear 0.0001 0 -> NaN Invalid_operation |
| rmnx108 remaindernear 0.01 0 -> NaN Invalid_operation |
| rmnx109 remaindernear 0.1 0 -> NaN Invalid_operation |
| rmnx110 remaindernear 1 0 -> NaN Invalid_operation |
| rmnx111 remaindernear 1 0.0 -> NaN Invalid_operation |
| rmnx112 remaindernear 10 0.0 -> NaN Invalid_operation |
| rmnx113 remaindernear 1E+100 0.0 -> NaN Invalid_operation |
| rmnx114 remaindernear 1E+1000 0 -> NaN Invalid_operation |
| rmnx115 remaindernear 0.0001 -0 -> NaN Invalid_operation |
| rmnx116 remaindernear 0.01 -0 -> NaN Invalid_operation |
| rmnx119 remaindernear 0.1 -0 -> NaN Invalid_operation |
| rmnx120 remaindernear 1 -0 -> NaN Invalid_operation |
| rmnx121 remaindernear 1 -0.0 -> NaN Invalid_operation |
| rmnx122 remaindernear 10 -0.0 -> NaN Invalid_operation |
| rmnx123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation |
| rmnx124 remaindernear 1E+1000 -0 -> NaN Invalid_operation |
| -- and zeros on left |
| rmnx130 remaindernear 0 1 -> 0 |
| rmnx131 remaindernear 0 -1 -> 0 |
| rmnx132 remaindernear 0.0 1 -> 0.0 |
| rmnx133 remaindernear 0.0 -1 -> 0.0 |
| rmnx134 remaindernear -0 1 -> -0 |
| rmnx135 remaindernear -0 -1 -> -0 |
| rmnx136 remaindernear -0.0 1 -> -0.0 |
| rmnx137 remaindernear -0.0 -1 -> -0.0 |
| |
| -- 0.5ers |
| rmmx143 remaindernear 0.5 2 -> 0.5 |
| rmmx144 remaindernear 0.5 2.1 -> 0.5 |
| rmmx145 remaindernear 0.5 2.01 -> 0.50 |
| rmmx146 remaindernear 0.5 2.001 -> 0.500 |
| rmmx147 remaindernear 0.50 2 -> 0.50 |
| rmmx148 remaindernear 0.50 2.01 -> 0.50 |
| rmmx149 remaindernear 0.50 2.001 -> 0.500 |
| |
| -- some differences from remainder |
| rmnx150 remaindernear 0.4 1.020 -> 0.400 |
| rmnx151 remaindernear 0.50 1.020 -> 0.500 |
| rmnx152 remaindernear 0.51 1.020 -> 0.510 |
| rmnx153 remaindernear 0.52 1.020 -> -0.500 |
| rmnx154 remaindernear 0.6 1.020 -> -0.420 |
| rmnx155 remaindernear 0.49 1 -> 0.49 |
| rmnx156 remaindernear 0.50 1 -> 0.50 |
| rmnx157 remaindernear 1.50 1 -> -0.50 |
| rmnx158 remaindernear 2.50 1 -> 0.50 |
| rmnx159 remaindernear 9.50 1 -> -0.50 |
| rmnx160 remaindernear 0.51 1 -> -0.49 |
| |
| -- the nasty division-by-1 cases |
| rmnx161 remaindernear 0.4 1 -> 0.4 |
| rmnx162 remaindernear 0.45 1 -> 0.45 |
| rmnx163 remaindernear 0.455 1 -> 0.455 |
| rmnx164 remaindernear 0.4555 1 -> 0.4555 |
| rmnx165 remaindernear 0.45555 1 -> 0.45555 |
| rmnx166 remaindernear 0.455555 1 -> 0.455555 |
| rmnx167 remaindernear 0.4555555 1 -> 0.4555555 |
| rmnx168 remaindernear 0.45555555 1 -> 0.45555555 |
| rmnx169 remaindernear 0.455555555 1 -> 0.455555555 |
| -- with spill... |
| rmnx171 remaindernear 0.5 1 -> 0.5 |
| rmnx172 remaindernear 0.55 1 -> -0.45 |
| rmnx173 remaindernear 0.555 1 -> -0.445 |
| rmnx174 remaindernear 0.5555 1 -> -0.4445 |
| rmnx175 remaindernear 0.55555 1 -> -0.44445 |
| rmnx176 remaindernear 0.555555 1 -> -0.444445 |
| rmnx177 remaindernear 0.5555555 1 -> -0.4444445 |
| rmnx178 remaindernear 0.55555555 1 -> -0.44444445 |
| rmnx179 remaindernear 0.555555555 1 -> -0.444444445 |
| |
| -- progression |
| rmnx180 remaindernear 1 1 -> 0 |
| rmnx181 remaindernear 1 2 -> 1 |
| rmnx182 remaindernear 1 3 -> 1 |
| rmnx183 remaindernear 1 4 -> 1 |
| rmnx184 remaindernear 1 5 -> 1 |
| rmnx185 remaindernear 1 6 -> 1 |
| rmnx186 remaindernear 1 7 -> 1 |
| rmnx187 remaindernear 1 8 -> 1 |
| rmnx188 remaindernear 1 9 -> 1 |
| rmnx189 remaindernear 1 10 -> 1 |
| rmnx190 remaindernear 1 1 -> 0 |
| rmnx191 remaindernear 2 1 -> 0 |
| rmnx192 remaindernear 3 1 -> 0 |
| rmnx193 remaindernear 4 1 -> 0 |
| rmnx194 remaindernear 5 1 -> 0 |
| rmnx195 remaindernear 6 1 -> 0 |
| rmnx196 remaindernear 7 1 -> 0 |
| rmnx197 remaindernear 8 1 -> 0 |
| rmnx198 remaindernear 9 1 -> 0 |
| rmnx199 remaindernear 10 1 -> 0 |
| |
| |
| -- Various flavours of remaindernear by 0 |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| rmnx201 remaindernear 0 0 -> NaN Division_undefined |
| rmnx202 remaindernear 0.0E5 0 -> NaN Division_undefined |
| rmnx203 remaindernear 0.000 0 -> NaN Division_undefined |
| rmnx204 remaindernear 0.0001 0 -> NaN Invalid_operation |
| rmnx205 remaindernear 0.01 0 -> NaN Invalid_operation |
| rmnx206 remaindernear 0.1 0 -> NaN Invalid_operation |
| rmnx207 remaindernear 1 0 -> NaN Invalid_operation |
| rmnx208 remaindernear 1 0.0 -> NaN Invalid_operation |
| rmnx209 remaindernear 10 0.0 -> NaN Invalid_operation |
| rmnx210 remaindernear 1E+100 0.0 -> NaN Invalid_operation |
| rmnx211 remaindernear 1E+1000 0 -> NaN Invalid_operation |
| |
| -- tests from the extended specification |
| rmnx221 remaindernear 2.1 3 -> -0.9 |
| rmnx222 remaindernear 10 6 -> -2 |
| rmnx223 remaindernear 10 3 -> 1 |
| rmnx224 remaindernear -10 3 -> -1 |
| rmnx225 remaindernear 10.2 1 -> 0.2 |
| rmnx226 remaindernear 10 0.3 -> 0.1 |
| rmnx227 remaindernear 3.6 1.3 -> -0.3 |
| |
| -- some differences from remainder |
| rmnx231 remaindernear 0.4 1.020 -> 0.400 |
| rmnx232 remaindernear 0.50 1.020 -> 0.500 |
| rmnx233 remaindernear 0.51 1.020 -> 0.510 |
| rmnx234 remaindernear 0.52 1.020 -> -0.500 |
| rmnx235 remaindernear 0.6 1.020 -> -0.420 |
| |
| -- test some cases that are close to exponent overflow |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| rmnx270 remaindernear 1 1e999999999 -> 1 |
| rmnx271 remaindernear 1 0.9e999999999 -> 1 |
| rmnx272 remaindernear 1 0.99e999999999 -> 1 |
| rmnx273 remaindernear 1 0.999999999e999999999 -> 1 |
| rmnx274 remaindernear 9e999999999 1 -> NaN Division_impossible |
| rmnx275 remaindernear 9.9e999999999 1 -> NaN Division_impossible |
| rmnx276 remaindernear 9.99e999999999 1 -> NaN Division_impossible |
| rmnx277 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible |
| |
| rmnx280 remaindernear 0.1 9e-999999999 -> NaN Division_impossible |
| rmnx281 remaindernear 0.1 99e-999999999 -> NaN Division_impossible |
| rmnx282 remaindernear 0.1 999e-999999999 -> NaN Division_impossible |
| |
| rmnx283 remaindernear 0.1 9e-999999998 -> NaN Division_impossible |
| rmnx284 remaindernear 0.1 99e-999999998 -> NaN Division_impossible |
| rmnx285 remaindernear 0.1 999e-999999998 -> NaN Division_impossible |
| rmnx286 remaindernear 0.1 999e-999999997 -> NaN Division_impossible |
| rmnx287 remaindernear 0.1 9999e-999999997 -> NaN Division_impossible |
| rmnx288 remaindernear 0.1 99999e-999999997 -> NaN Division_impossible |
| |
| -- rmnx3xx are from DiagBigDecimal |
| rmnx301 remaindernear 1 3 -> 1 |
| rmnx302 remaindernear 5 5 -> 0 |
| rmnx303 remaindernear 13 10 -> 3 |
| rmnx304 remaindernear 13 50 -> 13 |
| rmnx305 remaindernear 13 100 -> 13 |
| rmnx306 remaindernear 13 1000 -> 13 |
| rmnx307 remaindernear .13 1 -> 0.13 |
| rmnx308 remaindernear 0.133 1 -> 0.133 |
| rmnx309 remaindernear 0.1033 1 -> 0.1033 |
| rmnx310 remaindernear 1.033 1 -> 0.033 |
| rmnx311 remaindernear 10.33 1 -> 0.33 |
| rmnx312 remaindernear 10.33 10 -> 0.33 |
| rmnx313 remaindernear 103.3 1 -> 0.3 |
| rmnx314 remaindernear 133 10 -> 3 |
| rmnx315 remaindernear 1033 10 -> 3 |
| rmnx316 remaindernear 1033 50 -> -17 |
| rmnx317 remaindernear 101.0 3 -> -1.0 |
| rmnx318 remaindernear 102.0 3 -> 0.0 |
| rmnx319 remaindernear 103.0 3 -> 1.0 |
| rmnx320 remaindernear 2.40 1 -> 0.40 |
| rmnx321 remaindernear 2.400 1 -> 0.400 |
| rmnx322 remaindernear 2.4 1 -> 0.4 |
| rmnx323 remaindernear 2.4 2 -> 0.4 |
| rmnx324 remaindernear 2.400 2 -> 0.400 |
| rmnx325 remaindernear 1 0.3 -> 0.1 |
| rmnx326 remaindernear 1 0.30 -> 0.10 |
| rmnx327 remaindernear 1 0.300 -> 0.100 |
| rmnx328 remaindernear 1 0.3000 -> 0.1000 |
| rmnx329 remaindernear 1.0 0.3 -> 0.1 |
| rmnx330 remaindernear 1.00 0.3 -> 0.10 |
| rmnx331 remaindernear 1.000 0.3 -> 0.100 |
| rmnx332 remaindernear 1.0000 0.3 -> 0.1000 |
| rmnx333 remaindernear 0.5 2 -> 0.5 |
| rmnx334 remaindernear 0.5 2.1 -> 0.5 |
| rmnx335 remaindernear 0.5 2.01 -> 0.50 |
| rmnx336 remaindernear 0.5 2.001 -> 0.500 |
| rmnx337 remaindernear 0.50 2 -> 0.50 |
| rmnx338 remaindernear 0.50 2.01 -> 0.50 |
| rmnx339 remaindernear 0.50 2.001 -> 0.500 |
| |
| rmnx340 remaindernear 0.5 0.5000001 -> -1E-7 |
| rmnx341 remaindernear 0.5 0.50000001 -> -1E-8 |
| rmnx342 remaindernear 0.5 0.500000001 -> -1E-9 |
| rmnx343 remaindernear 0.5 0.5000000001 -> -1E-10 |
| rmnx344 remaindernear 0.5 0.50000000001 -> -1E-11 |
| rmnx345 remaindernear 0.5 0.4999999 -> 1E-7 |
| rmnx346 remaindernear 0.5 0.49999999 -> 1E-8 |
| rmnx347 remaindernear 0.5 0.499999999 -> 1E-9 |
| rmnx348 remaindernear 0.5 0.4999999999 -> 1E-10 |
| rmnx349 remaindernear 0.5 0.49999999999 -> 1E-11 |
| |
| rmnx350 remaindernear 0.03 7 -> 0.03 |
| rmnx351 remaindernear 5 2 -> 1 |
| rmnx352 remaindernear 4.1 2 -> 0.1 |
| rmnx353 remaindernear 4.01 2 -> 0.01 |
| rmnx354 remaindernear 4.001 2 -> 0.001 |
| rmnx355 remaindernear 4.0001 2 -> 0.0001 |
| rmnx356 remaindernear 4.00001 2 -> 0.00001 |
| rmnx357 remaindernear 4.000001 2 -> 0.000001 |
| rmnx358 remaindernear 4.0000001 2 -> 1E-7 |
| |
| rmnx360 remaindernear 1.2 0.7345 -> -0.2690 |
| rmnx361 remaindernear 0.8 12 -> 0.8 |
| rmnx362 remaindernear 0.8 0.2 -> 0.0 |
| rmnx363 remaindernear 0.8 0.3 -> -0.1 |
| rmnx364 remaindernear 0.800 12 -> 0.800 |
| rmnx365 remaindernear 0.800 1.7 -> 0.800 |
| rmnx366 remaindernear 2.400 2 -> 0.400 |
| |
| precision: 6 |
| rmnx371 remaindernear 2.400 2 -> 0.400 |
| precision: 3 |
| rmnx372 remaindernear 12345678900000 12e+12 -> 3.46E+11 Inexact Rounded |
| |
| precision: 5 |
| rmnx381 remaindernear 12345 1 -> 0 |
| rmnx382 remaindernear 12345 1.0001 -> -0.2344 |
| rmnx383 remaindernear 12345 1.001 -> -0.333 |
| rmnx384 remaindernear 12345 1.01 -> -0.23 |
| rmnx385 remaindernear 12345 1.1 -> -0.3 |
| rmnx386 remaindernear 12355 4 -> -1 |
| rmnx387 remaindernear 12345 4 -> 1 |
| rmnx388 remaindernear 12355 4.0001 -> -1.3089 |
| rmnx389 remaindernear 12345 4.0001 -> 0.6914 |
| rmnx390 remaindernear 12345 4.9 -> 1.9 |
| rmnx391 remaindernear 12345 4.99 -> -0.26 |
| rmnx392 remaindernear 12345 4.999 -> 2.469 |
| rmnx393 remaindernear 12345 4.9999 -> 0.2469 |
| rmnx394 remaindernear 12345 5 -> 0 |
| rmnx395 remaindernear 12345 5.0001 -> -0.2469 |
| rmnx396 remaindernear 12345 5.001 -> -2.469 |
| rmnx397 remaindernear 12345 5.01 -> 0.36 |
| rmnx398 remaindernear 12345 5.1 -> -2.1 |
| |
| precision: 9 |
| -- some nasty division-by-1 cases [some similar above] |
| rmnx401 remaindernear 0.4 1 -> 0.4 |
| rmnx402 remaindernear 0.45 1 -> 0.45 |
| rmnx403 remaindernear 0.455 1 -> 0.455 |
| rmnx404 remaindernear 0.4555 1 -> 0.4555 |
| rmnx405 remaindernear 0.45555 1 -> 0.45555 |
| rmnx406 remaindernear 0.455555 1 -> 0.455555 |
| rmnx407 remaindernear 0.4555555 1 -> 0.4555555 |
| rmnx408 remaindernear 0.45555555 1 -> 0.45555555 |
| rmnx409 remaindernear 0.455555555 1 -> 0.455555555 |
| |
| -- some tricky LHSs |
| rmnx420 remaindernear 99999999.999999999 1E+8 -> -1E-9 |
| rmnx421 remaindernear 999999999.999999999 1E+9 -> -1E-9 |
| precision: 9 |
| rmnx430 remaindernear 0.455555555 1 -> 0.455555555 |
| precision: 8 |
| rmnx431 remaindernear 0.455555555 1 -> 0.45555556 Inexact Rounded |
| precision: 7 |
| rmnx432 remaindernear 0.455555555 1 -> 0.4555556 Inexact Rounded |
| precision: 6 |
| rmnx433 remaindernear 0.455555555 1 -> 0.455556 Inexact Rounded |
| precision: 5 |
| rmnx434 remaindernear 0.455555555 1 -> 0.45556 Inexact Rounded |
| precision: 4 |
| rmnx435 remaindernear 0.455555555 1 -> 0.4556 Inexact Rounded |
| precision: 3 |
| rmnx436 remaindernear 0.455555555 1 -> 0.456 Inexact Rounded |
| precision: 2 |
| rmnx437 remaindernear 0.455555555 1 -> 0.46 Inexact Rounded |
| precision: 1 |
| rmnx438 remaindernear 0.455555555 1 -> 0.5 Inexact Rounded |
| |
| -- early tests; from text descriptions |
| precision: 9 |
| rmnx601 remaindernear 10 6 -> -2 |
| rmnx602 remaindernear -10 6 -> 2 |
| rmnx603 remaindernear 11 3 -> -1 |
| rmnx604 remaindernear 11 5 -> 1 |
| rmnx605 remaindernear 7.7 8 -> -0.3 |
| rmnx606 remaindernear 31.5 3 -> 1.5 -- i=10 |
| rmnx607 remaindernear 34.5 3 -> -1.5 -- i=11 |
| |
| -- zero signs |
| rmnx650 remaindernear 1 1 -> 0 |
| rmnx651 remaindernear -1 1 -> -0 |
| rmnx652 remaindernear 1 -1 -> 0 |
| rmnx653 remaindernear -1 -1 -> -0 |
| rmnx654 remaindernear 0 1 -> 0 |
| rmnx655 remaindernear -0 1 -> -0 |
| rmnx656 remaindernear 0 -1 -> 0 |
| rmnx657 remaindernear -0 -1 -> -0 |
| rmnx658 remaindernear 0.00 1 -> 0.00 |
| rmnx659 remaindernear -0.00 1 -> -0.00 |
| |
| -- Specials |
| rmnx680 remaindernear Inf -Inf -> NaN Invalid_operation |
| rmnx681 remaindernear Inf -1000 -> NaN Invalid_operation |
| rmnx682 remaindernear Inf -1 -> NaN Invalid_operation |
| rmnx683 remaindernear Inf 0 -> NaN Invalid_operation |
| rmnx684 remaindernear Inf -0 -> NaN Invalid_operation |
| rmnx685 remaindernear Inf 1 -> NaN Invalid_operation |
| rmnx686 remaindernear Inf 1000 -> NaN Invalid_operation |
| rmnx687 remaindernear Inf Inf -> NaN Invalid_operation |
| rmnx688 remaindernear -1000 Inf -> -1000 |
| rmnx689 remaindernear -Inf Inf -> NaN Invalid_operation |
| rmnx691 remaindernear -1 Inf -> -1 |
| rmnx692 remaindernear 0 Inf -> 0 |
| rmnx693 remaindernear -0 Inf -> -0 |
| rmnx694 remaindernear 1 Inf -> 1 |
| rmnx695 remaindernear 1000 Inf -> 1000 |
| rmnx696 remaindernear Inf Inf -> NaN Invalid_operation |
| |
| rmnx700 remaindernear -Inf -Inf -> NaN Invalid_operation |
| rmnx701 remaindernear -Inf -1000 -> NaN Invalid_operation |
| rmnx702 remaindernear -Inf -1 -> NaN Invalid_operation |
| rmnx703 remaindernear -Inf -0 -> NaN Invalid_operation |
| rmnx704 remaindernear -Inf 0 -> NaN Invalid_operation |
| rmnx705 remaindernear -Inf 1 -> NaN Invalid_operation |
| rmnx706 remaindernear -Inf 1000 -> NaN Invalid_operation |
| rmnx707 remaindernear -Inf Inf -> NaN Invalid_operation |
| rmnx708 remaindernear -Inf -Inf -> NaN Invalid_operation |
| rmnx709 remaindernear -1000 Inf -> -1000 |
| rmnx710 remaindernear -1 -Inf -> -1 |
| rmnx711 remaindernear -0 -Inf -> -0 |
| rmnx712 remaindernear 0 -Inf -> 0 |
| rmnx713 remaindernear 1 -Inf -> 1 |
| rmnx714 remaindernear 1000 -Inf -> 1000 |
| rmnx715 remaindernear Inf -Inf -> NaN Invalid_operation |
| |
| rmnx721 remaindernear NaN -Inf -> NaN |
| rmnx722 remaindernear NaN -1000 -> NaN |
| rmnx723 remaindernear NaN -1 -> NaN |
| rmnx724 remaindernear NaN -0 -> NaN |
| rmnx725 remaindernear NaN 0 -> NaN |
| rmnx726 remaindernear NaN 1 -> NaN |
| rmnx727 remaindernear NaN 1000 -> NaN |
| rmnx728 remaindernear NaN Inf -> NaN |
| rmnx729 remaindernear NaN NaN -> NaN |
| rmnx730 remaindernear -Inf NaN -> NaN |
| rmnx731 remaindernear -1000 NaN -> NaN |
| rmnx732 remaindernear -1 -NaN -> -NaN |
| rmnx733 remaindernear -0 NaN -> NaN |
| rmnx734 remaindernear 0 NaN -> NaN |
| rmnx735 remaindernear 1 NaN -> NaN |
| rmnx736 remaindernear 1000 NaN -> NaN |
| rmnx737 remaindernear Inf NaN -> NaN |
| |
| rmnx741 remaindernear sNaN -Inf -> NaN Invalid_operation |
| rmnx742 remaindernear sNaN -1000 -> NaN Invalid_operation |
| rmnx743 remaindernear -sNaN -1 -> -NaN Invalid_operation |
| rmnx744 remaindernear sNaN -0 -> NaN Invalid_operation |
| rmnx745 remaindernear sNaN 0 -> NaN Invalid_operation |
| rmnx746 remaindernear sNaN 1 -> NaN Invalid_operation |
| rmnx747 remaindernear sNaN 1000 -> NaN Invalid_operation |
| rmnx749 remaindernear sNaN NaN -> NaN Invalid_operation |
| rmnx750 remaindernear sNaN sNaN -> NaN Invalid_operation |
| rmnx751 remaindernear NaN sNaN -> NaN Invalid_operation |
| rmnx752 remaindernear -Inf sNaN -> NaN Invalid_operation |
| rmnx753 remaindernear -1000 sNaN -> NaN Invalid_operation |
| rmnx754 remaindernear -1 sNaN -> NaN Invalid_operation |
| rmnx755 remaindernear -0 -sNaN -> -NaN Invalid_operation |
| rmnx756 remaindernear 0 sNaN -> NaN Invalid_operation |
| rmnx757 remaindernear 1 sNaN -> NaN Invalid_operation |
| rmnx758 remaindernear 1000 sNaN -> NaN Invalid_operation |
| rmnx759 remaindernear Inf sNaN -> NaN Invalid_operation |
| rmnx760 remaindernear NaN sNaN -> NaN Invalid_operation |
| |
| -- propaging NaNs |
| rmnx761 remaindernear NaN1 NaN7 -> NaN1 |
| rmnx762 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation |
| rmnx763 remaindernear NaN3 -sNaN9 -> -NaN9 Invalid_operation |
| rmnx764 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation |
| rmnx765 remaindernear 15 NaN11 -> NaN11 |
| rmnx766 remaindernear NaN6 NaN12 -> NaN6 |
| rmnx767 remaindernear Inf -NaN13 -> -NaN13 |
| rmnx768 remaindernear NaN14 -Inf -> NaN14 |
| rmnx769 remaindernear 0 NaN15 -> NaN15 |
| rmnx770 remaindernear -NaN16 -0 -> -NaN16 |
| |
| -- test some cases that are close to exponent overflow |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| rmnx780 remaindernear 1 1e999999999 -> 1 |
| rmnx781 remaindernear 1 0.9e999999999 -> 1 |
| rmnx782 remaindernear 1 0.99e999999999 -> 1 |
| rmnx783 remaindernear 1 0.999999999e999999999 -> 1 |
| rmnx784 remaindernear 9e999999999 1 -> NaN Division_impossible |
| rmnx785 remaindernear 9.9e999999999 1 -> NaN Division_impossible |
| rmnx786 remaindernear 9.99e999999999 1 -> NaN Division_impossible |
| rmnx787 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible |
| |
| |
| -- overflow and underflow tests [from divide] |
| precision: 9 |
| maxexponent: 999999999 |
| minexponent: -999999999 |
| rmnx790 remaindernear +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded |
| rmnx791 remaindernear 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible |
| rmnx792 remaindernear +0.100 9E+999999999 -> 0.100 |
| rmnx793 remaindernear 9E-999999999 +9.100 -> 9E-999999999 |
| rmnx795 remaindernear -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded |
| rmnx796 remaindernear 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible |
| rmnx797 remaindernear -0.100 9E+999999999 -> -0.100 |
| rmnx798 remaindernear 9E-999999999 -9.100 -> 9E-999999999 |
| |
| -- long operands checks |
| maxexponent: 999 |
| minexponent: -999 |
| precision: 9 |
| rmnx801 remaindernear 12345678000 100 -> 0 |
| rmnx802 remaindernear 1 12345678000 -> 1 |
| rmnx803 remaindernear 1234567800 10 -> 0 |
| rmnx804 remaindernear 1 1234567800 -> 1 |
| rmnx805 remaindernear 1234567890 10 -> 0 |
| rmnx806 remaindernear 1 1234567890 -> 1 |
| rmnx807 remaindernear 1234567891 10 -> 1 |
| rmnx808 remaindernear 1 1234567891 -> 1 |
| rmnx809 remaindernear 12345678901 100 -> 1 |
| rmnx810 remaindernear 1 12345678901 -> 1 |
| rmnx811 remaindernear 1234567896 10 -> -4 |
| rmnx812 remaindernear 1 1234567896 -> 1 |
| |
| precision: 15 |
| rmnx841 remaindernear 12345678000 100 -> 0 |
| rmnx842 remaindernear 1 12345678000 -> 1 |
| rmnx843 remaindernear 1234567800 10 -> 0 |
| rmnx844 remaindernear 1 1234567800 -> 1 |
| rmnx845 remaindernear 1234567890 10 -> 0 |
| rmnx846 remaindernear 1 1234567890 -> 1 |
| rmnx847 remaindernear 1234567891 10 -> 1 |
| rmnx848 remaindernear 1 1234567891 -> 1 |
| rmnx849 remaindernear 12345678901 100 -> 1 |
| rmnx850 remaindernear 1 12345678901 -> 1 |
| rmnx851 remaindernear 1234567896 10 -> -4 |
| rmnx852 remaindernear 1 1234567896 -> 1 |
| |
| -- Null tests |
| rmnx900 remaindernear 10 # -> NaN Invalid_operation |
| rmnx901 remaindernear # 10 -> NaN Invalid_operation |
