diff options
Diffstat (limited to 'lib/python2.7/test/decimaltestdata/ddRemainderNear.decTest')
| -rw-r--r-- | lib/python2.7/test/decimaltestdata/ddRemainderNear.decTest | 629 |
1 files changed, 629 insertions, 0 deletions
diff --git a/lib/python2.7/test/decimaltestdata/ddRemainderNear.decTest b/lib/python2.7/test/decimaltestdata/ddRemainderNear.decTest new file mode 100644 index 0000000..8da9afc --- /dev/null +++ b/lib/python2.7/test/decimaltestdata/ddRemainderNear.decTest @@ -0,0 +1,629 @@ +------------------------------------------------------------------------ +-- ddRemainderNear.decTest -- decDouble remainder-near -- +-- 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 + +precision: 16 +maxExponent: 384 +minExponent: -383 +extended: 1 +clamp: 1 +rounding: half_even + +-- sanity checks (as base, above) +ddrmn001 remaindernear 1 1 -> 0 +ddrmn002 remaindernear 2 1 -> 0 +ddrmn003 remaindernear 1 2 -> 1 +ddrmn004 remaindernear 2 2 -> 0 +ddrmn005 remaindernear 0 1 -> 0 +ddrmn006 remaindernear 0 2 -> 0 +ddrmn007 remaindernear 1 3 -> 1 +ddrmn008 remaindernear 2 3 -> -1 +ddrmn009 remaindernear 3 3 -> 0 + +ddrmn010 remaindernear 2.4 1 -> 0.4 +ddrmn011 remaindernear 2.4 -1 -> 0.4 +ddrmn012 remaindernear -2.4 1 -> -0.4 +ddrmn013 remaindernear -2.4 -1 -> -0.4 +ddrmn014 remaindernear 2.40 1 -> 0.40 +ddrmn015 remaindernear 2.400 1 -> 0.400 +ddrmn016 remaindernear 2.4 2 -> 0.4 +ddrmn017 remaindernear 2.400 2 -> 0.400 +ddrmn018 remaindernear 2. 2 -> 0 +ddrmn019 remaindernear 20 20 -> 0 + +ddrmn020 remaindernear 187 187 -> 0 +ddrmn021 remaindernear 5 2 -> 1 +ddrmn022 remaindernear 5 2.0 -> 1.0 +ddrmn023 remaindernear 5 2.000 -> 1.000 +ddrmn024 remaindernear 5 0.200 -> 0.000 +ddrmn025 remaindernear 5 0.200 -> 0.000 + +ddrmn030 remaindernear 1 2 -> 1 +ddrmn031 remaindernear 1 4 -> 1 +ddrmn032 remaindernear 1 8 -> 1 + +ddrmn033 remaindernear 1 16 -> 1 +ddrmn034 remaindernear 1 32 -> 1 +ddrmn035 remaindernear 1 64 -> 1 +ddrmn040 remaindernear 1 -2 -> 1 +ddrmn041 remaindernear 1 -4 -> 1 +ddrmn042 remaindernear 1 -8 -> 1 +ddrmn043 remaindernear 1 -16 -> 1 +ddrmn044 remaindernear 1 -32 -> 1 +ddrmn045 remaindernear 1 -64 -> 1 +ddrmn050 remaindernear -1 2 -> -1 +ddrmn051 remaindernear -1 4 -> -1 +ddrmn052 remaindernear -1 8 -> -1 +ddrmn053 remaindernear -1 16 -> -1 +ddrmn054 remaindernear -1 32 -> -1 +ddrmn055 remaindernear -1 64 -> -1 +ddrmn060 remaindernear -1 -2 -> -1 +ddrmn061 remaindernear -1 -4 -> -1 +ddrmn062 remaindernear -1 -8 -> -1 +ddrmn063 remaindernear -1 -16 -> -1 +ddrmn064 remaindernear -1 -32 -> -1 +ddrmn065 remaindernear -1 -64 -> -1 + +ddrmn066 remaindernear 9.9 1 -> -0.1 +ddrmn067 remaindernear 99.7 1 -> -0.3 +ddrmn068 remaindernear 999999999 1 -> 0 +ddrmn069 remaindernear 999999999.4 1 -> 0.4 +ddrmn070 remaindernear 999999999.5 1 -> -0.5 +ddrmn071 remaindernear 999999999.9 1 -> -0.1 +ddrmn072 remaindernear 999999999.999 1 -> -0.001 +ddrmn073 remaindernear 999999.999999 1 -> -0.000001 +ddrmn074 remaindernear 9 1 -> 0 +ddrmn075 remaindernear 9999999999999999 1 -> 0 +ddrmn076 remaindernear 9999999999999999 2 -> -1 +ddrmn077 remaindernear 9999999999999999 3 -> 0 +ddrmn078 remaindernear 9999999999999999 4 -> -1 + +ddrmn080 remaindernear 0. 1 -> 0 +ddrmn081 remaindernear .0 1 -> 0.0 +ddrmn082 remaindernear 0.00 1 -> 0.00 +ddrmn083 remaindernear 0.00E+9 1 -> 0 +ddrmn084 remaindernear 0.00E+3 1 -> 0 +ddrmn085 remaindernear 0.00E+2 1 -> 0 +ddrmn086 remaindernear 0.00E+1 1 -> 0.0 +ddrmn087 remaindernear 0.00E+0 1 -> 0.00 +ddrmn088 remaindernear 0.00E-0 1 -> 0.00 +ddrmn089 remaindernear 0.00E-1 1 -> 0.000 +ddrmn090 remaindernear 0.00E-2 1 -> 0.0000 +ddrmn091 remaindernear 0.00E-3 1 -> 0.00000 +ddrmn092 remaindernear 0.00E-4 1 -> 0.000000 +ddrmn093 remaindernear 0.00E-5 1 -> 0E-7 +ddrmn094 remaindernear 0.00E-6 1 -> 0E-8 +ddrmn095 remaindernear 0.0000E-50 1 -> 0E-54 + +-- Various flavours of remaindernear by 0 +ddrmn101 remaindernear 0 0 -> NaN Division_undefined +ddrmn102 remaindernear 0 -0 -> NaN Division_undefined +ddrmn103 remaindernear -0 0 -> NaN Division_undefined +ddrmn104 remaindernear -0 -0 -> NaN Division_undefined +ddrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined +ddrmn106 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 +-- remainder-near, anyway] +ddrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation +ddrmn108 remaindernear 0.01 0 -> NaN Invalid_operation +ddrmn109 remaindernear 0.1 0 -> NaN Invalid_operation +ddrmn110 remaindernear 1 0 -> NaN Invalid_operation +ddrmn111 remaindernear 1 0.0 -> NaN Invalid_operation +ddrmn112 remaindernear 10 0.0 -> NaN Invalid_operation +ddrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation +ddrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation +ddrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation +ddrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation +ddrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation +ddrmn120 remaindernear 1 -0 -> NaN Invalid_operation +ddrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation +ddrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation +ddrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation +ddrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation +-- and zeros on left +ddrmn130 remaindernear 0 1 -> 0 +ddrmn131 remaindernear 0 -1 -> 0 +ddrmn132 remaindernear 0.0 1 -> 0.0 +ddrmn133 remaindernear 0.0 -1 -> 0.0 +ddrmn134 remaindernear -0 1 -> -0 +ddrmn135 remaindernear -0 -1 -> -0 +ddrmn136 remaindernear -0.0 1 -> -0.0 +ddrmn137 remaindernear -0.0 -1 -> -0.0 + +-- 0.5ers +ddrmn143 remaindernear 0.5 2 -> 0.5 +ddrmn144 remaindernear 0.5 2.1 -> 0.5 +ddrmn145 remaindernear 0.5 2.01 -> 0.50 +ddrmn146 remaindernear 0.5 2.001 -> 0.500 +ddrmn147 remaindernear 0.50 2 -> 0.50 +ddrmn148 remaindernear 0.50 2.01 -> 0.50 +ddrmn149 remaindernear 0.50 2.001 -> 0.500 + +-- steadies +ddrmn150 remaindernear 1 1 -> 0 +ddrmn151 remaindernear 1 2 -> 1 +ddrmn152 remaindernear 1 3 -> 1 +ddrmn153 remaindernear 1 4 -> 1 +ddrmn154 remaindernear 1 5 -> 1 +ddrmn155 remaindernear 1 6 -> 1 +ddrmn156 remaindernear 1 7 -> 1 +ddrmn157 remaindernear 1 8 -> 1 +ddrmn158 remaindernear 1 9 -> 1 +ddrmn159 remaindernear 1 10 -> 1 +ddrmn160 remaindernear 1 1 -> 0 +ddrmn161 remaindernear 2 1 -> 0 +ddrmn162 remaindernear 3 1 -> 0 +ddrmn163 remaindernear 4 1 -> 0 +ddrmn164 remaindernear 5 1 -> 0 +ddrmn165 remaindernear 6 1 -> 0 +ddrmn166 remaindernear 7 1 -> 0 +ddrmn167 remaindernear 8 1 -> 0 +ddrmn168 remaindernear 9 1 -> 0 +ddrmn169 remaindernear 10 1 -> 0 + +-- some differences from remainder +ddrmn171 remaindernear 0.4 1.020 -> 0.400 +ddrmn172 remaindernear 0.50 1.020 -> 0.500 +ddrmn173 remaindernear 0.51 1.020 -> 0.510 +ddrmn174 remaindernear 0.52 1.020 -> -0.500 +ddrmn175 remaindernear 0.6 1.020 -> -0.420 + +-- More flavours of remaindernear by 0 +ddrmn201 remaindernear 0 0 -> NaN Division_undefined +ddrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined +ddrmn203 remaindernear 0.000 0 -> NaN Division_undefined +ddrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation +ddrmn205 remaindernear 0.01 0 -> NaN Invalid_operation +ddrmn206 remaindernear 0.1 0 -> NaN Invalid_operation +ddrmn207 remaindernear 1 0 -> NaN Invalid_operation +ddrmn208 remaindernear 1 0.0 -> NaN Invalid_operation +ddrmn209 remaindernear 10 0.0 -> NaN Invalid_operation +ddrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation +ddrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation + +-- tests from the extended specification +ddrmn221 remaindernear 2.1 3 -> -0.9 +ddrmn222 remaindernear 10 6 -> -2 +ddrmn223 remaindernear 10 3 -> 1 +ddrmn224 remaindernear -10 3 -> -1 +ddrmn225 remaindernear 10.2 1 -> 0.2 +ddrmn226 remaindernear 10 0.3 -> 0.1 +ddrmn227 remaindernear 3.6 1.3 -> -0.3 + +-- some differences from remainder +ddrmn231 remaindernear -0.4 1.020 -> -0.400 +ddrmn232 remaindernear -0.50 1.020 -> -0.500 +ddrmn233 remaindernear -0.51 1.020 -> -0.510 +ddrmn234 remaindernear -0.52 1.020 -> 0.500 +ddrmn235 remaindernear -0.6 1.020 -> 0.420 + +-- high Xs +ddrmn240 remaindernear 1E+2 1.00 -> 0.00 + +-- ddrmn3xx are from DiagBigDecimal +ddrmn301 remaindernear 1 3 -> 1 +ddrmn302 remaindernear 5 5 -> 0 +ddrmn303 remaindernear 13 10 -> 3 +ddrmn304 remaindernear 13 50 -> 13 +ddrmn305 remaindernear 13 100 -> 13 +ddrmn306 remaindernear 13 1000 -> 13 +ddrmn307 remaindernear .13 1 -> 0.13 +ddrmn308 remaindernear 0.133 1 -> 0.133 +ddrmn309 remaindernear 0.1033 1 -> 0.1033 +ddrmn310 remaindernear 1.033 1 -> 0.033 +ddrmn311 remaindernear 10.33 1 -> 0.33 +ddrmn312 remaindernear 10.33 10 -> 0.33 +ddrmn313 remaindernear 103.3 1 -> 0.3 +ddrmn314 remaindernear 133 10 -> 3 +ddrmn315 remaindernear 1033 10 -> 3 +ddrmn316 remaindernear 1033 50 -> -17 +ddrmn317 remaindernear 101.0 3 -> -1.0 +ddrmn318 remaindernear 102.0 3 -> 0.0 +ddrmn319 remaindernear 103.0 3 -> 1.0 +ddrmn320 remaindernear 2.40 1 -> 0.40 +ddrmn321 remaindernear 2.400 1 -> 0.400 +ddrmn322 remaindernear 2.4 1 -> 0.4 +ddrmn323 remaindernear 2.4 2 -> 0.4 +ddrmn324 remaindernear 2.400 2 -> 0.400 +ddrmn325 remaindernear 1 0.3 -> 0.1 +ddrmn326 remaindernear 1 0.30 -> 0.10 +ddrmn327 remaindernear 1 0.300 -> 0.100 +ddrmn328 remaindernear 1 0.3000 -> 0.1000 +ddrmn329 remaindernear 1.0 0.3 -> 0.1 +ddrmn330 remaindernear 1.00 0.3 -> 0.10 +ddrmn331 remaindernear 1.000 0.3 -> 0.100 +ddrmn332 remaindernear 1.0000 0.3 -> 0.1000 +ddrmn333 remaindernear 0.5 2 -> 0.5 +ddrmn334 remaindernear 0.5 2.1 -> 0.5 +ddrmn335 remaindernear 0.5 2.01 -> 0.50 +ddrmn336 remaindernear 0.5 2.001 -> 0.500 +ddrmn337 remaindernear 0.50 2 -> 0.50 +ddrmn338 remaindernear 0.50 2.01 -> 0.50 +ddrmn339 remaindernear 0.50 2.001 -> 0.500 + +ddrmn340 remaindernear 0.5 0.5000001 -> -1E-7 +ddrmn341 remaindernear 0.5 0.50000001 -> -1E-8 +ddrmn342 remaindernear 0.5 0.500000001 -> -1E-9 +ddrmn343 remaindernear 0.5 0.5000000001 -> -1E-10 +ddrmn344 remaindernear 0.5 0.50000000001 -> -1E-11 +ddrmn345 remaindernear 0.5 0.4999999 -> 1E-7 +ddrmn346 remaindernear 0.5 0.49999999 -> 1E-8 +ddrmn347 remaindernear 0.5 0.499999999 -> 1E-9 +ddrmn348 remaindernear 0.5 0.4999999999 -> 1E-10 +ddrmn349 remaindernear 0.5 0.49999999999 -> 1E-11 +ddrmn350 remaindernear 0.5 0.499999999999 -> 1E-12 + +ddrmn351 remaindernear 0.03 7 -> 0.03 +ddrmn352 remaindernear 5 2 -> 1 +ddrmn353 remaindernear 4.1 2 -> 0.1 +ddrmn354 remaindernear 4.01 2 -> 0.01 +ddrmn355 remaindernear 4.001 2 -> 0.001 +ddrmn356 remaindernear 4.0001 2 -> 0.0001 +ddrmn357 remaindernear 4.00001 2 -> 0.00001 +ddrmn358 remaindernear 4.000001 2 -> 0.000001 +ddrmn359 remaindernear 4.0000001 2 -> 1E-7 + +ddrmn360 remaindernear 1.2 0.7345 -> -0.2690 +ddrmn361 remaindernear 0.8 12 -> 0.8 +ddrmn362 remaindernear 0.8 0.2 -> 0.0 +ddrmn363 remaindernear 0.8 0.3 -> -0.1 +ddrmn364 remaindernear 0.800 12 -> 0.800 +ddrmn365 remaindernear 0.800 1.7 -> 0.800 +ddrmn366 remaindernear 2.400 2 -> 0.400 + +-- round to even +ddrmn371 remaindernear 121 2 -> 1 +ddrmn372 remaindernear 122 2 -> 0 +ddrmn373 remaindernear 123 2 -> -1 +ddrmn374 remaindernear 124 2 -> 0 +ddrmn375 remaindernear 125 2 -> 1 +ddrmn376 remaindernear 126 2 -> 0 +ddrmn377 remaindernear 127 2 -> -1 + +ddrmn381 remaindernear 12345 1 -> 0 +ddrmn382 remaindernear 12345 1.0001 -> -0.2344 +ddrmn383 remaindernear 12345 1.001 -> -0.333 +ddrmn384 remaindernear 12345 1.01 -> -0.23 +ddrmn385 remaindernear 12345 1.1 -> -0.3 +ddrmn386 remaindernear 12355 4 -> -1 +ddrmn387 remaindernear 12345 4 -> 1 +ddrmn388 remaindernear 12355 4.0001 -> -1.3089 +ddrmn389 remaindernear 12345 4.0001 -> 0.6914 +ddrmn390 remaindernear 12345 4.9 -> 1.9 +ddrmn391 remaindernear 12345 4.99 -> -0.26 +ddrmn392 remaindernear 12345 4.999 -> 2.469 +ddrmn393 remaindernear 12345 4.9999 -> 0.2469 +ddrmn394 remaindernear 12345 5 -> 0 +ddrmn395 remaindernear 12345 5.0001 -> -0.2469 +ddrmn396 remaindernear 12345 5.001 -> -2.469 +ddrmn397 remaindernear 12345 5.01 -> 0.36 +ddrmn398 remaindernear 12345 5.1 -> -2.1 + +-- the nasty division-by-1 cases +ddrmn401 remaindernear 0.4 1 -> 0.4 +ddrmn402 remaindernear 0.45 1 -> 0.45 +ddrmn403 remaindernear 0.455 1 -> 0.455 +ddrmn404 remaindernear 0.4555 1 -> 0.4555 +ddrmn405 remaindernear 0.45555 1 -> 0.45555 +ddrmn406 remaindernear 0.455555 1 -> 0.455555 +ddrmn407 remaindernear 0.4555555 1 -> 0.4555555 +ddrmn408 remaindernear 0.45555555 1 -> 0.45555555 +ddrmn409 remaindernear 0.455555555 1 -> 0.455555555 +-- with spill... [412 exercises sticktab loop] +ddrmn411 remaindernear 0.5 1 -> 0.5 +ddrmn412 remaindernear 0.55 1 -> -0.45 +ddrmn413 remaindernear 0.555 1 -> -0.445 +ddrmn414 remaindernear 0.5555 1 -> -0.4445 +ddrmn415 remaindernear 0.55555 1 -> -0.44445 +ddrmn416 remaindernear 0.555555 1 -> -0.444445 +ddrmn417 remaindernear 0.5555555 1 -> -0.4444445 +ddrmn418 remaindernear 0.55555555 1 -> -0.44444445 +ddrmn419 remaindernear 0.555555555 1 -> -0.444444445 + +-- folddowns +ddrmn421 remaindernear 1E+384 1 -> NaN Division_impossible +ddrmn422 remaindernear 1E+384 1E+383 -> 0E+369 Clamped +ddrmn423 remaindernear 1E+384 2E+383 -> 0E+369 Clamped +ddrmn424 remaindernear 1E+384 3E+383 -> 1.00000000000000E+383 Clamped +ddrmn425 remaindernear 1E+384 4E+383 -> 2.00000000000000E+383 Clamped +ddrmn426 remaindernear 1E+384 5E+383 -> 0E+369 Clamped +ddrmn427 remaindernear 1E+384 6E+383 -> -2.00000000000000E+383 Clamped +ddrmn428 remaindernear 1E+384 7E+383 -> 3.00000000000000E+383 Clamped +ddrmn429 remaindernear 1E+384 8E+383 -> 2.00000000000000E+383 Clamped +ddrmn430 remaindernear 1E+384 9E+383 -> 1.00000000000000E+383 Clamped +-- tinies +ddrmn431 remaindernear 1E-397 1E-398 -> 0E-398 +ddrmn432 remaindernear 1E-397 2E-398 -> 0E-398 +ddrmn433 remaindernear 1E-397 3E-398 -> 1E-398 Subnormal +ddrmn434 remaindernear 1E-397 4E-398 -> 2E-398 Subnormal +ddrmn435 remaindernear 1E-397 5E-398 -> 0E-398 +ddrmn436 remaindernear 1E-397 6E-398 -> -2E-398 Subnormal +ddrmn437 remaindernear 1E-397 7E-398 -> 3E-398 Subnormal +ddrmn438 remaindernear 1E-397 8E-398 -> 2E-398 Subnormal +ddrmn439 remaindernear 1E-397 9E-398 -> 1E-398 Subnormal +ddrmn440 remaindernear 1E-397 10E-398 -> 0E-398 +ddrmn441 remaindernear 1E-397 11E-398 -> -1E-398 Subnormal +ddrmn442 remaindernear 100E-397 11E-398 -> -1E-398 Subnormal +ddrmn443 remaindernear 100E-397 20E-398 -> 0E-398 +ddrmn444 remaindernear 100E-397 21E-398 -> -8E-398 Subnormal +ddrmn445 remaindernear 100E-397 30E-398 -> 1.0E-397 Subnormal + +-- zero signs +ddrmn650 remaindernear 1 1 -> 0 +ddrmn651 remaindernear -1 1 -> -0 +ddrmn652 remaindernear 1 -1 -> 0 +ddrmn653 remaindernear -1 -1 -> -0 +ddrmn654 remaindernear 0 1 -> 0 +ddrmn655 remaindernear -0 1 -> -0 +ddrmn656 remaindernear 0 -1 -> 0 +ddrmn657 remaindernear -0 -1 -> -0 +ddrmn658 remaindernear 0.00 1 -> 0.00 +ddrmn659 remaindernear -0.00 1 -> -0.00 + +-- Specials +ddrmn680 remaindernear Inf -Inf -> NaN Invalid_operation +ddrmn681 remaindernear Inf -1000 -> NaN Invalid_operation +ddrmn682 remaindernear Inf -1 -> NaN Invalid_operation +ddrmn683 remaindernear Inf 0 -> NaN Invalid_operation +ddrmn684 remaindernear Inf -0 -> NaN Invalid_operation +ddrmn685 remaindernear Inf 1 -> NaN Invalid_operation +ddrmn686 remaindernear Inf 1000 -> NaN Invalid_operation +ddrmn687 remaindernear Inf Inf -> NaN Invalid_operation +ddrmn688 remaindernear -1000 Inf -> -1000 +ddrmn689 remaindernear -Inf Inf -> NaN Invalid_operation +ddrmn691 remaindernear -1 Inf -> -1 +ddrmn692 remaindernear 0 Inf -> 0 +ddrmn693 remaindernear -0 Inf -> -0 +ddrmn694 remaindernear 1 Inf -> 1 +ddrmn695 remaindernear 1000 Inf -> 1000 +ddrmn696 remaindernear Inf Inf -> NaN Invalid_operation + +ddrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation +ddrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation +ddrmn702 remaindernear -Inf -1 -> NaN Invalid_operation +ddrmn703 remaindernear -Inf -0 -> NaN Invalid_operation +ddrmn704 remaindernear -Inf 0 -> NaN Invalid_operation +ddrmn705 remaindernear -Inf 1 -> NaN Invalid_operation +ddrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation +ddrmn707 remaindernear -Inf Inf -> NaN Invalid_operation +ddrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation +ddrmn709 remaindernear -1000 Inf -> -1000 +ddrmn710 remaindernear -1 -Inf -> -1 +ddrmn711 remaindernear -0 -Inf -> -0 +ddrmn712 remaindernear 0 -Inf -> 0 +ddrmn713 remaindernear 1 -Inf -> 1 +ddrmn714 remaindernear 1000 -Inf -> 1000 +ddrmn715 remaindernear Inf -Inf -> NaN Invalid_operation + +ddrmn721 remaindernear NaN -Inf -> NaN +ddrmn722 remaindernear NaN -1000 -> NaN +ddrmn723 remaindernear NaN -1 -> NaN +ddrmn724 remaindernear NaN -0 -> NaN +ddrmn725 remaindernear -NaN 0 -> -NaN +ddrmn726 remaindernear NaN 1 -> NaN +ddrmn727 remaindernear NaN 1000 -> NaN +ddrmn728 remaindernear NaN Inf -> NaN +ddrmn729 remaindernear NaN -NaN -> NaN +ddrmn730 remaindernear -Inf NaN -> NaN +ddrmn731 remaindernear -1000 NaN -> NaN +ddrmn732 remaindernear -1 NaN -> NaN +ddrmn733 remaindernear -0 -NaN -> -NaN +ddrmn734 remaindernear 0 NaN -> NaN +ddrmn735 remaindernear 1 -NaN -> -NaN +ddrmn736 remaindernear 1000 NaN -> NaN +ddrmn737 remaindernear Inf NaN -> NaN + +ddrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation +ddrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation +ddrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation +ddrmn744 remaindernear sNaN -0 -> NaN Invalid_operation +ddrmn745 remaindernear sNaN 0 -> NaN Invalid_operation +ddrmn746 remaindernear sNaN 1 -> NaN Invalid_operation +ddrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation +ddrmn749 remaindernear sNaN NaN -> NaN Invalid_operation +ddrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation +ddrmn751 remaindernear NaN sNaN -> NaN Invalid_operation +ddrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation +ddrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation +ddrmn754 remaindernear -1 sNaN -> NaN Invalid_operation +ddrmn755 remaindernear -0 sNaN -> NaN Invalid_operation +ddrmn756 remaindernear 0 sNaN -> NaN Invalid_operation +ddrmn757 remaindernear 1 sNaN -> NaN Invalid_operation +ddrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation +ddrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation + +-- propaging NaNs +ddrmn760 remaindernear NaN1 NaN7 -> NaN1 +ddrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation +ddrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation +ddrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation +ddrmn764 remaindernear 15 NaN11 -> NaN11 +ddrmn765 remaindernear NaN6 NaN12 -> NaN6 +ddrmn766 remaindernear Inf NaN13 -> NaN13 +ddrmn767 remaindernear NaN14 -Inf -> NaN14 +ddrmn768 remaindernear 0 NaN15 -> NaN15 +ddrmn769 remaindernear NaN16 -0 -> NaN16 + +-- edge cases of impossible +ddrmn770 remaindernear 1234567890123456 10 -> -4 +ddrmn771 remaindernear 1234567890123456 1 -> 0 +ddrmn772 remaindernear 1234567890123456 0.1 -> NaN Division_impossible +ddrmn773 remaindernear 1234567890123456 0.01 -> NaN Division_impossible + +-- long operand checks +ddrmn801 remaindernear 12345678000 100 -> 0 +ddrmn802 remaindernear 1 12345678000 -> 1 +ddrmn803 remaindernear 1234567800 10 -> 0 +ddrmn804 remaindernear 1 1234567800 -> 1 +ddrmn805 remaindernear 1234567890 10 -> 0 +ddrmn806 remaindernear 1 1234567890 -> 1 +ddrmn807 remaindernear 1234567891 10 -> 1 +ddrmn808 remaindernear 1 1234567891 -> 1 +ddrmn809 remaindernear 12345678901 100 -> 1 +ddrmn810 remaindernear 1 12345678901 -> 1 +ddrmn811 remaindernear 1234567896 10 -> -4 +ddrmn812 remaindernear 1 1234567896 -> 1 + +ddrmn821 remaindernear 12345678000 100 -> 0 +ddrmn822 remaindernear 1 12345678000 -> 1 +ddrmn823 remaindernear 1234567800 10 -> 0 +ddrmn824 remaindernear 1 1234567800 -> 1 +ddrmn825 remaindernear 1234567890 10 -> 0 +ddrmn826 remaindernear 1 1234567890 -> 1 +ddrmn827 remaindernear 1234567891 10 -> 1 +ddrmn828 remaindernear 1 1234567891 -> 1 +ddrmn829 remaindernear 12345678901 100 -> 1 +ddrmn830 remaindernear 1 12345678901 -> 1 +ddrmn831 remaindernear 1234567896 10 -> -4 +ddrmn832 remaindernear 1 1234567896 -> 1 + +-- from divideint +ddrmn840 remaindernear 100000000.0 1 -> 0.0 +ddrmn841 remaindernear 100000000.4 1 -> 0.4 +ddrmn842 remaindernear 100000000.5 1 -> 0.5 +ddrmn843 remaindernear 100000000.9 1 -> -0.1 +ddrmn844 remaindernear 100000000.999 1 -> -0.001 +ddrmn850 remaindernear 100000003 5 -> -2 +ddrmn851 remaindernear 10000003 5 -> -2 +ddrmn852 remaindernear 1000003 5 -> -2 +ddrmn853 remaindernear 100003 5 -> -2 +ddrmn854 remaindernear 10003 5 -> -2 +ddrmn855 remaindernear 1003 5 -> -2 +ddrmn856 remaindernear 103 5 -> -2 +ddrmn857 remaindernear 13 5 -> -2 +ddrmn858 remaindernear 1 5 -> 1 + +-- Vladimir's cases 1234567890123456 +ddrmn860 remaindernear 123.0e1 1000000000000000 -> 1230 +ddrmn861 remaindernear 1230 1000000000000000 -> 1230 +ddrmn862 remaindernear 12.3e2 1000000000000000 -> 1230 +ddrmn863 remaindernear 1.23e3 1000000000000000 -> 1230 +ddrmn864 remaindernear 123e1 1000000000000000 -> 1230 +ddrmn870 remaindernear 123e1 1000000000000000 -> 1230 +ddrmn871 remaindernear 123e1 100000000000000 -> 1230 +ddrmn872 remaindernear 123e1 10000000000000 -> 1230 +ddrmn873 remaindernear 123e1 1000000000000 -> 1230 +ddrmn874 remaindernear 123e1 100000000000 -> 1230 +ddrmn875 remaindernear 123e1 10000000000 -> 1230 +ddrmn876 remaindernear 123e1 1000000000 -> 1230 +ddrmn877 remaindernear 123e1 100000000 -> 1230 +ddrmn878 remaindernear 1230 100000000 -> 1230 +ddrmn879 remaindernear 123e1 10000000 -> 1230 +ddrmn880 remaindernear 123e1 1000000 -> 1230 +ddrmn881 remaindernear 123e1 100000 -> 1230 +ddrmn882 remaindernear 123e1 10000 -> 1230 +ddrmn883 remaindernear 123e1 1000 -> 230 +ddrmn884 remaindernear 123e1 100 -> 30 +ddrmn885 remaindernear 123e1 10 -> 0 +ddrmn886 remaindernear 123e1 1 -> 0 + +ddrmn890 remaindernear 123e1 2000000000000000 -> 1230 +ddrmn891 remaindernear 123e1 200000000000000 -> 1230 +ddrmn892 remaindernear 123e1 20000000000000 -> 1230 +ddrmn893 remaindernear 123e1 2000000000000 -> 1230 +ddrmn894 remaindernear 123e1 200000000000 -> 1230 +ddrmn895 remaindernear 123e1 20000000000 -> 1230 +ddrmn896 remaindernear 123e1 2000000000 -> 1230 +ddrmn897 remaindernear 123e1 200000000 -> 1230 +ddrmn899 remaindernear 123e1 20000000 -> 1230 +ddrmn900 remaindernear 123e1 2000000 -> 1230 +ddrmn901 remaindernear 123e1 200000 -> 1230 +ddrmn902 remaindernear 123e1 20000 -> 1230 +ddrmn903 remaindernear 123e1 2000 -> -770 +ddrmn904 remaindernear 123e1 200 -> 30 +ddrmn905 remaindernear 123e1 20 -> -10 +ddrmn906 remaindernear 123e1 2 -> 0 + +ddrmn910 remaindernear 123e1 5000000000000000 -> 1230 +ddrmn911 remaindernear 123e1 500000000000000 -> 1230 +ddrmn912 remaindernear 123e1 50000000000000 -> 1230 +ddrmn913 remaindernear 123e1 5000000000000 -> 1230 +ddrmn914 remaindernear 123e1 500000000000 -> 1230 +ddrmn915 remaindernear 123e1 50000000000 -> 1230 +ddrmn916 remaindernear 123e1 5000000000 -> 1230 +ddrmn917 remaindernear 123e1 500000000 -> 1230 +ddrmn919 remaindernear 123e1 50000000 -> 1230 +ddrmn920 remaindernear 123e1 5000000 -> 1230 +ddrmn921 remaindernear 123e1 500000 -> 1230 +ddrmn922 remaindernear 123e1 50000 -> 1230 +ddrmn923 remaindernear 123e1 5000 -> 1230 +ddrmn924 remaindernear 123e1 500 -> 230 +ddrmn925 remaindernear 123e1 50 -> -20 +ddrmn926 remaindernear 123e1 5 -> 0 + +ddrmn930 remaindernear 123e1 9000000000000000 -> 1230 +ddrmn931 remaindernear 123e1 900000000000000 -> 1230 +ddrmn932 remaindernear 123e1 90000000000000 -> 1230 +ddrmn933 remaindernear 123e1 9000000000000 -> 1230 +ddrmn934 remaindernear 123e1 900000000000 -> 1230 +ddrmn935 remaindernear 123e1 90000000000 -> 1230 +ddrmn936 remaindernear 123e1 9000000000 -> 1230 +ddrmn937 remaindernear 123e1 900000000 -> 1230 +ddrmn939 remaindernear 123e1 90000000 -> 1230 +ddrmn940 remaindernear 123e1 9000000 -> 1230 +ddrmn941 remaindernear 123e1 900000 -> 1230 +ddrmn942 remaindernear 123e1 90000 -> 1230 +ddrmn943 remaindernear 123e1 9000 -> 1230 +ddrmn944 remaindernear 123e1 900 -> 330 +ddrmn945 remaindernear 123e1 90 -> -30 +ddrmn946 remaindernear 123e1 9 -> -3 + +ddrmn950 remaindernear 123e1 1000000000000000 -> 1230 +ddrmn961 remaindernear 123e1 2999999999999999 -> 1230 +ddrmn962 remaindernear 123e1 3999999999999999 -> 1230 +ddrmn963 remaindernear 123e1 4999999999999999 -> 1230 +ddrmn964 remaindernear 123e1 5999999999999999 -> 1230 +ddrmn965 remaindernear 123e1 6999999999999999 -> 1230 +ddrmn966 remaindernear 123e1 7999999999999999 -> 1230 +ddrmn967 remaindernear 123e1 8999999999999999 -> 1230 +ddrmn968 remaindernear 123e1 9999999999999999 -> 1230 +ddrmn969 remaindernear 123e1 9876543210987654 -> 1230 + +ddrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally + + +-- overflow and underflow tests [from divide] +ddrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible +ddrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible +ddrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible +ddrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible +ddrmn1055 remaindernear 1e-277 1e+311 -> 1E-277 +ddrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277 +ddrmn1057 remaindernear -1e-277 1e+311 -> -1E-277 +ddrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277 + +-- destructive subtract +ddrmn1100 remainderNear 1234567890123456 1.000000000000001 -> -0.234567890123455 +ddrmn1101 remainderNear 1234567890123456 1.00000000000001 -> -0.34567890123444 +ddrmn1102 remainderNear 1234567890123456 1.0000000000001 -> -0.4567890123333 +ddrmn1103 remainderNear 1234567890123455 4.000000000000001 -> -1.308641972530864 +ddrmn1104 remainderNear 1234567890123456 4.000000000000001 -> -0.308641972530864 +ddrmn1115 remainderNear 1234567890123456 4.9999999999999 -> 0.6913578024696 +ddrmn1116 remainderNear 1234567890123456 4.99999999999999 -> -1.53086421975308 +ddrmn1117 remainderNear 1234567890123456 4.999999999999999 -> 1.246913578024691 +ddrmn1118 remainderNear 1234567890123456 5.000000000000001 -> 0.753086421975309 +ddrmn1119 remainderNear 1234567890123456 5.00000000000001 -> -1.46913578024691 +ddrmn1110 remainderNear 1234567890123456 5.0000000000001 -> 1.3086421975314 + +-- Null tests +ddrmn1000 remaindernear 10 # -> NaN Invalid_operation +ddrmn1001 remaindernear # 10 -> NaN Invalid_operation + |