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Diffstat (limited to 'lib/python2.7/test/decimaltestdata/remainderNear.decTest')
| -rw-r--r-- | lib/python2.7/test/decimaltestdata/remainderNear.decTest | 572 |
1 files changed, 572 insertions, 0 deletions
diff --git a/lib/python2.7/test/decimaltestdata/remainderNear.decTest b/lib/python2.7/test/decimaltestdata/remainderNear.decTest new file mode 100644 index 0000000..b768b9e --- /dev/null +++ b/lib/python2.7/test/decimaltestdata/remainderNear.decTest @@ -0,0 +1,572 @@ +------------------------------------------------------------------------ +-- 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 |