598 lines
27 KiB
Plaintext
598 lines
27 KiB
Plaintext
|
------------------------------------------------------------------------
|
||
|
|
-- dqRemainder.decTest -- decQuad remainder --
|
||
|
|
-- Copyright (c) IBM Corporation, 1981, 2007. 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: 2.57
|
||
|
|
|
||
|
|
extended: 1
|
||
|
|
clamp: 1
|
||
|
|
precision: 34
|
||
|
|
maxExponent: 6144
|
||
|
|
minExponent: -6143
|
||
|
|
rounding: half_even
|
||
|
|
|
||
|
|
-- sanity checks (as base, above)
|
||
|
|
dqrem001 remainder 1 1 -> 0
|
||
|
|
dqrem002 remainder 2 1 -> 0
|
||
|
|
dqrem003 remainder 1 2 -> 1
|
||
|
|
dqrem004 remainder 2 2 -> 0
|
||
|
|
dqrem005 remainder 0 1 -> 0
|
||
|
|
dqrem006 remainder 0 2 -> 0
|
||
|
|
dqrem007 remainder 1 3 -> 1
|
||
|
|
dqrem008 remainder 2 3 -> 2
|
||
|
|
dqrem009 remainder 3 3 -> 0
|
||
|
|
|
||
|
|
dqrem010 remainder 2.4 1 -> 0.4
|
||
|
|
dqrem011 remainder 2.4 -1 -> 0.4
|
||
|
|
dqrem012 remainder -2.4 1 -> -0.4
|
||
|
|
dqrem013 remainder -2.4 -1 -> -0.4
|
||
|
|
dqrem014 remainder 2.40 1 -> 0.40
|
||
|
|
dqrem015 remainder 2.400 1 -> 0.400
|
||
|
|
dqrem016 remainder 2.4 2 -> 0.4
|
||
|
|
dqrem017 remainder 2.400 2 -> 0.400
|
||
|
|
dqrem018 remainder 2. 2 -> 0
|
||
|
|
dqrem019 remainder 20 20 -> 0
|
||
|
|
|
||
|
|
dqrem020 remainder 187 187 -> 0
|
||
|
|
dqrem021 remainder 5 2 -> 1
|
||
|
|
dqrem022 remainder 5 2.0 -> 1.0
|
||
|
|
dqrem023 remainder 5 2.000 -> 1.000
|
||
|
|
dqrem024 remainder 5 0.200 -> 0.000
|
||
|
|
dqrem025 remainder 5 0.200 -> 0.000
|
||
|
|
|
||
|
|
dqrem030 remainder 1 2 -> 1
|
||
|
|
dqrem031 remainder 1 4 -> 1
|
||
|
|
dqrem032 remainder 1 8 -> 1
|
||
|
|
|
||
|
|
dqrem033 remainder 1 16 -> 1
|
||
|
|
dqrem034 remainder 1 32 -> 1
|
||
|
|
dqrem035 remainder 1 64 -> 1
|
||
|
|
dqrem040 remainder 1 -2 -> 1
|
||
|
|
dqrem041 remainder 1 -4 -> 1
|
||
|
|
dqrem042 remainder 1 -8 -> 1
|
||
|
|
dqrem043 remainder 1 -16 -> 1
|
||
|
|
dqrem044 remainder 1 -32 -> 1
|
||
|
|
dqrem045 remainder 1 -64 -> 1
|
||
|
|
dqrem050 remainder -1 2 -> -1
|
||
|
|
dqrem051 remainder -1 4 -> -1
|
||
|
|
dqrem052 remainder -1 8 -> -1
|
||
|
|
dqrem053 remainder -1 16 -> -1
|
||
|
|
dqrem054 remainder -1 32 -> -1
|
||
|
|
dqrem055 remainder -1 64 -> -1
|
||
|
|
dqrem060 remainder -1 -2 -> -1
|
||
|
|
dqrem061 remainder -1 -4 -> -1
|
||
|
|
dqrem062 remainder -1 -8 -> -1
|
||
|
|
dqrem063 remainder -1 -16 -> -1
|
||
|
|
dqrem064 remainder -1 -32 -> -1
|
||
|
|
dqrem065 remainder -1 -64 -> -1
|
||
|
|
|
||
|
|
dqrem066 remainder 999999999 1 -> 0
|
||
|
|
dqrem067 remainder 999999999.4 1 -> 0.4
|
||
|
|
dqrem068 remainder 999999999.5 1 -> 0.5
|
||
|
|
dqrem069 remainder 999999999.9 1 -> 0.9
|
||
|
|
dqrem070 remainder 999999999.999 1 -> 0.999
|
||
|
|
dqrem071 remainder 999999.999999 1 -> 0.999999
|
||
|
|
dqrem072 remainder 9 1 -> 0
|
||
|
|
|
||
|
|
dqrem080 remainder 0. 1 -> 0
|
||
|
|
dqrem081 remainder .0 1 -> 0.0
|
||
|
|
dqrem082 remainder 0.00 1 -> 0.00
|
||
|
|
dqrem083 remainder 0.00E+9 1 -> 0
|
||
|
|
dqrem084 remainder 0.00E+3 1 -> 0
|
||
|
|
dqrem085 remainder 0.00E+2 1 -> 0
|
||
|
|
dqrem086 remainder 0.00E+1 1 -> 0.0
|
||
|
|
dqrem087 remainder 0.00E+0 1 -> 0.00
|
||
|
|
dqrem088 remainder 0.00E-0 1 -> 0.00
|
||
|
|
dqrem089 remainder 0.00E-1 1 -> 0.000
|
||
|
|
dqrem090 remainder 0.00E-2 1 -> 0.0000
|
||
|
|
dqrem091 remainder 0.00E-3 1 -> 0.00000
|
||
|
|
dqrem092 remainder 0.00E-4 1 -> 0.000000
|
||
|
|
dqrem093 remainder 0.00E-5 1 -> 0E-7
|
||
|
|
dqrem094 remainder 0.00E-6 1 -> 0E-8
|
||
|
|
dqrem095 remainder 0.0000E-50 1 -> 0E-54
|
||
|
|
|
||
|
|
-- Various flavours of remainder by 0
|
||
|
|
dqrem101 remainder 0 0 -> NaN Division_undefined
|
||
|
|
dqrem102 remainder 0 -0 -> NaN Division_undefined
|
||
|
|
dqrem103 remainder -0 0 -> NaN Division_undefined
|
||
|
|
dqrem104 remainder -0 -0 -> NaN Division_undefined
|
||
|
|
dqrem105 remainder 0.0E5 0 -> NaN Division_undefined
|
||
|
|
dqrem106 remainder 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]
|
||
|
|
dqrem107 remainder 0.0001 0 -> NaN Invalid_operation
|
||
|
|
dqrem108 remainder 0.01 0 -> NaN Invalid_operation
|
||
|
|
dqrem109 remainder 0.1 0 -> NaN Invalid_operation
|
||
|
|
dqrem110 remainder 1 0 -> NaN Invalid_operation
|
||
|
|
dqrem111 remainder 1 0.0 -> NaN Invalid_operation
|
||
|
|
dqrem112 remainder 10 0.0 -> NaN Invalid_operation
|
||
|
|
dqrem113 remainder 1E+100 0.0 -> NaN Invalid_operation
|
||
|
|
dqrem114 remainder 1E+380 0 -> NaN Invalid_operation
|
||
|
|
dqrem115 remainder 0.0001 -0 -> NaN Invalid_operation
|
||
|
|
dqrem116 remainder 0.01 -0 -> NaN Invalid_operation
|
||
|
|
dqrem119 remainder 0.1 -0 -> NaN Invalid_operation
|
||
|
|
dqrem120 remainder 1 -0 -> NaN Invalid_operation
|
||
|
|
dqrem121 remainder 1 -0.0 -> NaN Invalid_operation
|
||
|
|
dqrem122 remainder 10 -0.0 -> NaN Invalid_operation
|
||
|
|
dqrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation
|
||
|
|
dqrem124 remainder 1E+384 -0 -> NaN Invalid_operation
|
||
|
|
-- and zeros on left
|
||
|
|
dqrem130 remainder 0 1 -> 0
|
||
|
|
dqrem131 remainder 0 -1 -> 0
|
||
|
|
dqrem132 remainder 0.0 1 -> 0.0
|
||
|
|
dqrem133 remainder 0.0 -1 -> 0.0
|
||
|
|
dqrem134 remainder -0 1 -> -0
|
||
|
|
dqrem135 remainder -0 -1 -> -0
|
||
|
|
dqrem136 remainder -0.0 1 -> -0.0
|
||
|
|
dqrem137 remainder -0.0 -1 -> -0.0
|
||
|
|
|
||
|
|
-- 0.5ers
|
||
|
|
dqrem143 remainder 0.5 2 -> 0.5
|
||
|
|
dqrem144 remainder 0.5 2.1 -> 0.5
|
||
|
|
dqrem145 remainder 0.5 2.01 -> 0.50
|
||
|
|
dqrem146 remainder 0.5 2.001 -> 0.500
|
||
|
|
dqrem147 remainder 0.50 2 -> 0.50
|
||
|
|
dqrem148 remainder 0.50 2.01 -> 0.50
|
||
|
|
dqrem149 remainder 0.50 2.001 -> 0.500
|
||
|
|
|
||
|
|
-- steadies
|
||
|
|
dqrem150 remainder 1 1 -> 0
|
||
|
|
dqrem151 remainder 1 2 -> 1
|
||
|
|
dqrem152 remainder 1 3 -> 1
|
||
|
|
dqrem153 remainder 1 4 -> 1
|
||
|
|
dqrem154 remainder 1 5 -> 1
|
||
|
|
dqrem155 remainder 1 6 -> 1
|
||
|
|
dqrem156 remainder 1 7 -> 1
|
||
|
|
dqrem157 remainder 1 8 -> 1
|
||
|
|
dqrem158 remainder 1 9 -> 1
|
||
|
|
dqrem159 remainder 1 10 -> 1
|
||
|
|
dqrem160 remainder 1 1 -> 0
|
||
|
|
dqrem161 remainder 2 1 -> 0
|
||
|
|
dqrem162 remainder 3 1 -> 0
|
||
|
|
dqrem163 remainder 4 1 -> 0
|
||
|
|
dqrem164 remainder 5 1 -> 0
|
||
|
|
dqrem165 remainder 6 1 -> 0
|
||
|
|
dqrem166 remainder 7 1 -> 0
|
||
|
|
dqrem167 remainder 8 1 -> 0
|
||
|
|
dqrem168 remainder 9 1 -> 0
|
||
|
|
dqrem169 remainder 10 1 -> 0
|
||
|
|
|
||
|
|
-- some differences from remainderNear
|
||
|
|
dqrem171 remainder 0.4 1.020 -> 0.400
|
||
|
|
dqrem172 remainder 0.50 1.020 -> 0.500
|
||
|
|
dqrem173 remainder 0.51 1.020 -> 0.510
|
||
|
|
dqrem174 remainder 0.52 1.020 -> 0.520
|
||
|
|
dqrem175 remainder 0.6 1.020 -> 0.600
|
||
|
|
|
||
|
|
-- More flavours of remainder by 0
|
||
|
|
dqrem201 remainder 0 0 -> NaN Division_undefined
|
||
|
|
dqrem202 remainder 0.0E5 0 -> NaN Division_undefined
|
||
|
|
dqrem203 remainder 0.000 0 -> NaN Division_undefined
|
||
|
|
dqrem204 remainder 0.0001 0 -> NaN Invalid_operation
|
||
|
|
dqrem205 remainder 0.01 0 -> NaN Invalid_operation
|
||
|
|
dqrem206 remainder 0.1 0 -> NaN Invalid_operation
|
||
|
|
dqrem207 remainder 1 0 -> NaN Invalid_operation
|
||
|
|
dqrem208 remainder 1 0.0 -> NaN Invalid_operation
|
||
|
|
dqrem209 remainder 10 0.0 -> NaN Invalid_operation
|
||
|
|
dqrem210 remainder 1E+100 0.0 -> NaN Invalid_operation
|
||
|
|
dqrem211 remainder 1E+380 0 -> NaN Invalid_operation
|
||
|
|
|
||
|
|
-- some differences from remainderNear
|
||
|
|
dqrem231 remainder -0.4 1.020 -> -0.400
|
||
|
|
dqrem232 remainder -0.50 1.020 -> -0.500
|
||
|
|
dqrem233 remainder -0.51 1.020 -> -0.510
|
||
|
|
dqrem234 remainder -0.52 1.020 -> -0.520
|
||
|
|
dqrem235 remainder -0.6 1.020 -> -0.600
|
||
|
|
|
||
|
|
-- high Xs
|
||
|
|
dqrem240 remainder 1E+2 1.00 -> 0.00
|
||
|
|
|
||
|
|
-- dqrem3xx are from DiagBigDecimal
|
||
|
|
dqrem301 remainder 1 3 -> 1
|
||
|
|
dqrem302 remainder 5 5 -> 0
|
||
|
|
dqrem303 remainder 13 10 -> 3
|
||
|
|
dqrem304 remainder 13 50 -> 13
|
||
|
|
dqrem305 remainder 13 100 -> 13
|
||
|
|
dqrem306 remainder 13 1000 -> 13
|
||
|
|
dqrem307 remainder .13 1 -> 0.13
|
||
|
|
dqrem308 remainder 0.133 1 -> 0.133
|
||
|
|
dqrem309 remainder 0.1033 1 -> 0.1033
|
||
|
|
dqrem310 remainder 1.033 1 -> 0.033
|
||
|
|
dqrem311 remainder 10.33 1 -> 0.33
|
||
|
|
dqrem312 remainder 10.33 10 -> 0.33
|
||
|
|
dqrem313 remainder 103.3 1 -> 0.3
|
||
|
|
dqrem314 remainder 133 10 -> 3
|
||
|
|
dqrem315 remainder 1033 10 -> 3
|
||
|
|
dqrem316 remainder 1033 50 -> 33
|
||
|
|
dqrem317 remainder 101.0 3 -> 2.0
|
||
|
|
dqrem318 remainder 102.0 3 -> 0.0
|
||
|
|
dqrem319 remainder 103.0 3 -> 1.0
|
||
|
|
dqrem320 remainder 2.40 1 -> 0.40
|
||
|
|
dqrem321 remainder 2.400 1 -> 0.400
|
||
|
|
dqrem322 remainder 2.4 1 -> 0.4
|
||
|
|
dqrem323 remainder 2.4 2 -> 0.4
|
||
|
|
dqrem324 remainder 2.400 2 -> 0.400
|
||
|
|
dqrem325 remainder 1 0.3 -> 0.1
|
||
|
|
dqrem326 remainder 1 0.30 -> 0.10
|
||
|
|
dqrem327 remainder 1 0.300 -> 0.100
|
||
|
|
dqrem328 remainder 1 0.3000 -> 0.1000
|
||
|
|
dqrem329 remainder 1.0 0.3 -> 0.1
|
||
|
|
dqrem330 remainder 1.00 0.3 -> 0.10
|
||
|
|
dqrem331 remainder 1.000 0.3 -> 0.100
|
||
|
|
dqrem332 remainder 1.0000 0.3 -> 0.1000
|
||
|
|
dqrem333 remainder 0.5 2 -> 0.5
|
||
|
|
dqrem334 remainder 0.5 2.1 -> 0.5
|
||
|
|
dqrem335 remainder 0.5 2.01 -> 0.50
|
||
|
|
dqrem336 remainder 0.5 2.001 -> 0.500
|
||
|
|
dqrem337 remainder 0.50 2 -> 0.50
|
||
|
|
dqrem338 remainder 0.50 2.01 -> 0.50
|
||
|
|
dqrem339 remainder 0.50 2.001 -> 0.500
|
||
|
|
|
||
|
|
dqrem340 remainder 0.5 0.5000001 -> 0.5000000
|
||
|
|
dqrem341 remainder 0.5 0.50000001 -> 0.50000000
|
||
|
|
dqrem342 remainder 0.5 0.500000001 -> 0.500000000
|
||
|
|
dqrem343 remainder 0.5 0.5000000001 -> 0.5000000000
|
||
|
|
dqrem344 remainder 0.5 0.50000000001 -> 0.50000000000
|
||
|
|
dqrem345 remainder 0.5 0.4999999 -> 1E-7
|
||
|
|
dqrem346 remainder 0.5 0.49999999 -> 1E-8
|
||
|
|
dqrem347 remainder 0.5 0.499999999 -> 1E-9
|
||
|
|
dqrem348 remainder 0.5 0.4999999999 -> 1E-10
|
||
|
|
dqrem349 remainder 0.5 0.49999999999 -> 1E-11
|
||
|
|
dqrem350 remainder 0.5 0.499999999999 -> 1E-12
|
||
|
|
|
||
|
|
dqrem351 remainder 0.03 7 -> 0.03
|
||
|
|
dqrem352 remainder 5 2 -> 1
|
||
|
|
dqrem353 remainder 4.1 2 -> 0.1
|
||
|
|
dqrem354 remainder 4.01 2 -> 0.01
|
||
|
|
dqrem355 remainder 4.001 2 -> 0.001
|
||
|
|
dqrem356 remainder 4.0001 2 -> 0.0001
|
||
|
|
dqrem357 remainder 4.00001 2 -> 0.00001
|
||
|
|
dqrem358 remainder 4.000001 2 -> 0.000001
|
||
|
|
dqrem359 remainder 4.0000001 2 -> 1E-7
|
||
|
|
|
||
|
|
dqrem360 remainder 1.2 0.7345 -> 0.4655
|
||
|
|
dqrem361 remainder 0.8 12 -> 0.8
|
||
|
|
dqrem362 remainder 0.8 0.2 -> 0.0
|
||
|
|
dqrem363 remainder 0.8 0.3 -> 0.2
|
||
|
|
dqrem364 remainder 0.800 12 -> 0.800
|
||
|
|
dqrem365 remainder 0.800 1.7 -> 0.800
|
||
|
|
dqrem366 remainder 2.400 2 -> 0.400
|
||
|
|
|
||
|
|
dqrem371 remainder 2.400 2 -> 0.400
|
||
|
|
|
||
|
|
dqrem381 remainder 12345 1 -> 0
|
||
|
|
dqrem382 remainder 12345 1.0001 -> 0.7657
|
||
|
|
dqrem383 remainder 12345 1.001 -> 0.668
|
||
|
|
dqrem384 remainder 12345 1.01 -> 0.78
|
||
|
|
dqrem385 remainder 12345 1.1 -> 0.8
|
||
|
|
dqrem386 remainder 12355 4 -> 3
|
||
|
|
dqrem387 remainder 12345 4 -> 1
|
||
|
|
dqrem388 remainder 12355 4.0001 -> 2.6912
|
||
|
|
dqrem389 remainder 12345 4.0001 -> 0.6914
|
||
|
|
dqrem390 remainder 12345 4.9 -> 1.9
|
||
|
|
dqrem391 remainder 12345 4.99 -> 4.73
|
||
|
|
dqrem392 remainder 12345 4.999 -> 2.469
|
||
|
|
dqrem393 remainder 12345 4.9999 -> 0.2469
|
||
|
|
dqrem394 remainder 12345 5 -> 0
|
||
|
|
dqrem395 remainder 12345 5.0001 -> 4.7532
|
||
|
|
dqrem396 remainder 12345 5.001 -> 2.532
|
||
|
|
dqrem397 remainder 12345 5.01 -> 0.36
|
||
|
|
dqrem398 remainder 12345 5.1 -> 3.0
|
||
|
|
|
||
|
|
-- the nasty division-by-1 cases
|
||
|
|
dqrem401 remainder 0.5 1 -> 0.5
|
||
|
|
dqrem402 remainder 0.55 1 -> 0.55
|
||
|
|
dqrem403 remainder 0.555 1 -> 0.555
|
||
|
|
dqrem404 remainder 0.5555 1 -> 0.5555
|
||
|
|
dqrem405 remainder 0.55555 1 -> 0.55555
|
||
|
|
dqrem406 remainder 0.555555 1 -> 0.555555
|
||
|
|
dqrem407 remainder 0.5555555 1 -> 0.5555555
|
||
|
|
dqrem408 remainder 0.55555555 1 -> 0.55555555
|
||
|
|
dqrem409 remainder 0.555555555 1 -> 0.555555555
|
||
|
|
|
||
|
|
-- folddowns
|
||
|
|
dqrem421 remainder 1E+6144 1 -> NaN Division_impossible
|
||
|
|
dqrem422 remainder 1E+6144 1E+6143 -> 0E+6111 Clamped
|
||
|
|
dqrem423 remainder 1E+6144 2E+6143 -> 0E+6111 Clamped
|
||
|
|
dqrem424 remainder 1E+6144 3E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped
|
||
|
|
dqrem425 remainder 1E+6144 4E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped
|
||
|
|
dqrem426 remainder 1E+6144 5E+6143 -> 0E+6111 Clamped
|
||
|
|
dqrem427 remainder 1E+6144 6E+6143 -> 4.00000000000000000000000000000000E+6143 Clamped
|
||
|
|
dqrem428 remainder 1E+6144 7E+6143 -> 3.00000000000000000000000000000000E+6143 Clamped
|
||
|
|
dqrem429 remainder 1E+6144 8E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped
|
||
|
|
dqrem430 remainder 1E+6144 9E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped
|
||
|
|
-- tinies
|
||
|
|
dqrem431 remainder 1E-6175 1E-6176 -> 0E-6176
|
||
|
|
dqrem432 remainder 1E-6175 2E-6176 -> 0E-6176
|
||
|
|
dqrem433 remainder 1E-6175 3E-6176 -> 1E-6176 Subnormal
|
||
|
|
dqrem434 remainder 1E-6175 4E-6176 -> 2E-6176 Subnormal
|
||
|
|
dqrem435 remainder 1E-6175 5E-6176 -> 0E-6176
|
||
|
|
dqrem436 remainder 1E-6175 6E-6176 -> 4E-6176 Subnormal
|
||
|
|
dqrem437 remainder 1E-6175 7E-6176 -> 3E-6176 Subnormal
|
||
|
|
dqrem438 remainder 1E-6175 8E-6176 -> 2E-6176 Subnormal
|
||
|
|
dqrem439 remainder 1E-6175 9E-6176 -> 1E-6176 Subnormal
|
||
|
|
dqrem440 remainder 1E-6175 10E-6176 -> 0E-6176
|
||
|
|
dqrem441 remainder 1E-6175 11E-6176 -> 1.0E-6175 Subnormal
|
||
|
|
dqrem442 remainder 100E-6175 11E-6176 -> 1.0E-6175 Subnormal
|
||
|
|
dqrem443 remainder 100E-6175 20E-6176 -> 0E-6176
|
||
|
|
dqrem444 remainder 100E-6175 21E-6176 -> 1.3E-6175 Subnormal
|
||
|
|
dqrem445 remainder 100E-6175 30E-6176 -> 1.0E-6175 Subnormal
|
||
|
|
|
||
|
|
-- zero signs
|
||
|
|
dqrem650 remainder 1 1 -> 0
|
||
|
|
dqrem651 remainder -1 1 -> -0
|
||
|
|
dqrem652 remainder 1 -1 -> 0
|
||
|
|
dqrem653 remainder -1 -1 -> -0
|
||
|
|
dqrem654 remainder 0 1 -> 0
|
||
|
|
dqrem655 remainder -0 1 -> -0
|
||
|
|
dqrem656 remainder 0 -1 -> 0
|
||
|
|
dqrem657 remainder -0 -1 -> -0
|
||
|
|
dqrem658 remainder 0.00 1 -> 0.00
|
||
|
|
dqrem659 remainder -0.00 1 -> -0.00
|
||
|
|
|
||
|
|
-- Specials
|
||
|
|
dqrem680 remainder Inf -Inf -> NaN Invalid_operation
|
||
|
|
dqrem681 remainder Inf -1000 -> NaN Invalid_operation
|
||
|
|
dqrem682 remainder Inf -1 -> NaN Invalid_operation
|
||
|
|
dqrem683 remainder Inf 0 -> NaN Invalid_operation
|
||
|
|
dqrem684 remainder Inf -0 -> NaN Invalid_operation
|
||
|
|
dqrem685 remainder Inf 1 -> NaN Invalid_operation
|
||
|
|
dqrem686 remainder Inf 1000 -> NaN Invalid_operation
|
||
|
|
dqrem687 remainder Inf Inf -> NaN Invalid_operation
|
||
|
|
dqrem688 remainder -1000 Inf -> -1000
|
||
|
|
dqrem689 remainder -Inf Inf -> NaN Invalid_operation
|
||
|
|
dqrem691 remainder -1 Inf -> -1
|
||
|
|
dqrem692 remainder 0 Inf -> 0
|
||
|
|
dqrem693 remainder -0 Inf -> -0
|
||
|
|
dqrem694 remainder 1 Inf -> 1
|
||
|
|
dqrem695 remainder 1000 Inf -> 1000
|
||
|
|
dqrem696 remainder Inf Inf -> NaN Invalid_operation
|
||
|
|
|
||
|
|
dqrem700 remainder -Inf -Inf -> NaN Invalid_operation
|
||
|
|
dqrem701 remainder -Inf -1000 -> NaN Invalid_operation
|
||
|
|
dqrem702 remainder -Inf -1 -> NaN Invalid_operation
|
||
|
|
dqrem703 remainder -Inf -0 -> NaN Invalid_operation
|
||
|
|
dqrem704 remainder -Inf 0 -> NaN Invalid_operation
|
||
|
|
dqrem705 remainder -Inf 1 -> NaN Invalid_operation
|
||
|
|
dqrem706 remainder -Inf 1000 -> NaN Invalid_operation
|
||
|
|
dqrem707 remainder -Inf Inf -> NaN Invalid_operation
|
||
|
|
dqrem708 remainder -Inf -Inf -> NaN Invalid_operation
|
||
|
|
dqrem709 remainder -1000 Inf -> -1000
|
||
|
|
dqrem710 remainder -1 -Inf -> -1
|
||
|
|
dqrem711 remainder -0 -Inf -> -0
|
||
|
|
dqrem712 remainder 0 -Inf -> 0
|
||
|
|
dqrem713 remainder 1 -Inf -> 1
|
||
|
|
dqrem714 remainder 1000 -Inf -> 1000
|
||
|
|
dqrem715 remainder Inf -Inf -> NaN Invalid_operation
|
||
|
|
|
||
|
|
dqrem721 remainder NaN -Inf -> NaN
|
||
|
|
dqrem722 remainder NaN -1000 -> NaN
|
||
|
|
dqrem723 remainder NaN -1 -> NaN
|
||
|
|
dqrem724 remainder NaN -0 -> NaN
|
||
|
|
dqrem725 remainder -NaN 0 -> -NaN
|
||
|
|
dqrem726 remainder NaN 1 -> NaN
|
||
|
|
dqrem727 remainder NaN 1000 -> NaN
|
||
|
|
dqrem728 remainder NaN Inf -> NaN
|
||
|
|
dqrem729 remainder NaN -NaN -> NaN
|
||
|
|
dqrem730 remainder -Inf NaN -> NaN
|
||
|
|
dqrem731 remainder -1000 NaN -> NaN
|
||
|
|
dqrem732 remainder -1 NaN -> NaN
|
||
|
|
dqrem733 remainder -0 -NaN -> -NaN
|
||
|
|
dqrem734 remainder 0 NaN -> NaN
|
||
|
|
dqrem735 remainder 1 -NaN -> -NaN
|
||
|
|
dqrem736 remainder 1000 NaN -> NaN
|
||
|
|
dqrem737 remainder Inf NaN -> NaN
|
||
|
|
|
||
|
|
dqrem741 remainder sNaN -Inf -> NaN Invalid_operation
|
||
|
|
dqrem742 remainder sNaN -1000 -> NaN Invalid_operation
|
||
|
|
dqrem743 remainder -sNaN -1 -> -NaN Invalid_operation
|
||
|
|
dqrem744 remainder sNaN -0 -> NaN Invalid_operation
|
||
|
|
dqrem745 remainder sNaN 0 -> NaN Invalid_operation
|
||
|
|
dqrem746 remainder sNaN 1 -> NaN Invalid_operation
|
||
|
|
dqrem747 remainder sNaN 1000 -> NaN Invalid_operation
|
||
|
|
dqrem749 remainder sNaN NaN -> NaN Invalid_operation
|
||
|
|
dqrem750 remainder sNaN sNaN -> NaN Invalid_operation
|
||
|
|
dqrem751 remainder NaN sNaN -> NaN Invalid_operation
|
||
|
|
dqrem752 remainder -Inf sNaN -> NaN Invalid_operation
|
||
|
|
dqrem753 remainder -1000 sNaN -> NaN Invalid_operation
|
||
|
|
dqrem754 remainder -1 sNaN -> NaN Invalid_operation
|
||
|
|
dqrem755 remainder -0 sNaN -> NaN Invalid_operation
|
||
|
|
dqrem756 remainder 0 sNaN -> NaN Invalid_operation
|
||
|
|
dqrem757 remainder 1 sNaN -> NaN Invalid_operation
|
||
|
|
dqrem758 remainder 1000 sNaN -> NaN Invalid_operation
|
||
|
|
dqrem759 remainder Inf -sNaN -> -NaN Invalid_operation
|
||
|
|
|
||
|
|
-- propaging NaNs
|
||
|
|
dqrem760 remainder NaN1 NaN7 -> NaN1
|
||
|
|
dqrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation
|
||
|
|
dqrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation
|
||
|
|
dqrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation
|
||
|
|
dqrem764 remainder 15 NaN11 -> NaN11
|
||
|
|
dqrem765 remainder NaN6 NaN12 -> NaN6
|
||
|
|
dqrem766 remainder Inf NaN13 -> NaN13
|
||
|
|
dqrem767 remainder NaN14 -Inf -> NaN14
|
||
|
|
dqrem768 remainder 0 NaN15 -> NaN15
|
||
|
|
dqrem769 remainder NaN16 -0 -> NaN16
|
||
|
|
|
||
|
|
-- edge cases of impossible
|
||
|
|
dqrem770 remainder 1234568888888887777777777890123456 10 -> 6
|
||
|
|
dqrem771 remainder 1234568888888887777777777890123456 1 -> 0
|
||
|
|
dqrem772 remainder 1234568888888887777777777890123456 0.1 -> NaN Division_impossible
|
||
|
|
dqrem773 remainder 1234568888888887777777777890123456 0.01 -> NaN Division_impossible
|
||
|
|
|
||
|
|
-- long operand checks
|
||
|
|
dqrem801 remainder 12345678000 100 -> 0
|
||
|
|
dqrem802 remainder 1 12345678000 -> 1
|
||
|
|
dqrem803 remainder 1234567800 10 -> 0
|
||
|
|
dqrem804 remainder 1 1234567800 -> 1
|
||
|
|
dqrem805 remainder 1234567890 10 -> 0
|
||
|
|
dqrem806 remainder 1 1234567890 -> 1
|
||
|
|
dqrem807 remainder 1234567891 10 -> 1
|
||
|
|
dqrem808 remainder 1 1234567891 -> 1
|
||
|
|
dqrem809 remainder 12345678901 100 -> 1
|
||
|
|
dqrem810 remainder 1 12345678901 -> 1
|
||
|
|
dqrem811 remainder 1234567896 10 -> 6
|
||
|
|
dqrem812 remainder 1 1234567896 -> 1
|
||
|
|
|
||
|
|
dqrem821 remainder 12345678000 100 -> 0
|
||
|
|
dqrem822 remainder 1 12345678000 -> 1
|
||
|
|
dqrem823 remainder 1234567800 10 -> 0
|
||
|
|
dqrem824 remainder 1 1234567800 -> 1
|
||
|
|
dqrem825 remainder 1234567890 10 -> 0
|
||
|
|
dqrem826 remainder 1 1234567890 -> 1
|
||
|
|
dqrem827 remainder 1234567891 10 -> 1
|
||
|
|
dqrem828 remainder 1 1234567891 -> 1
|
||
|
|
dqrem829 remainder 12345678901 100 -> 1
|
||
|
|
dqrem830 remainder 1 12345678901 -> 1
|
||
|
|
dqrem831 remainder 1234567896 10 -> 6
|
||
|
|
dqrem832 remainder 1 1234567896 -> 1
|
||
|
|
|
||
|
|
-- from divideint
|
||
|
|
dqrem840 remainder 100000000.0 1 -> 0.0
|
||
|
|
dqrem841 remainder 100000000.4 1 -> 0.4
|
||
|
|
dqrem842 remainder 100000000.5 1 -> 0.5
|
||
|
|
dqrem843 remainder 100000000.9 1 -> 0.9
|
||
|
|
dqrem844 remainder 100000000.999 1 -> 0.999
|
||
|
|
dqrem850 remainder 100000003 5 -> 3
|
||
|
|
dqrem851 remainder 10000003 5 -> 3
|
||
|
|
dqrem852 remainder 1000003 5 -> 3
|
||
|
|
dqrem853 remainder 100003 5 -> 3
|
||
|
|
dqrem854 remainder 10003 5 -> 3
|
||
|
|
dqrem855 remainder 1003 5 -> 3
|
||
|
|
dqrem856 remainder 103 5 -> 3
|
||
|
|
dqrem857 remainder 13 5 -> 3
|
||
|
|
dqrem858 remainder 1 5 -> 1
|
||
|
|
|
||
|
|
-- Vladimir's cases 1234567890123456
|
||
|
|
dqrem860 remainder 123.0e1 1000000000000000 -> 1230
|
||
|
|
dqrem861 remainder 1230 1000000000000000 -> 1230
|
||
|
|
dqrem862 remainder 12.3e2 1000000000000000 -> 1230
|
||
|
|
dqrem863 remainder 1.23e3 1000000000000000 -> 1230
|
||
|
|
dqrem864 remainder 123e1 1000000000000000 -> 1230
|
||
|
|
dqrem870 remainder 123e1 1000000000000000 -> 1230
|
||
|
|
dqrem871 remainder 123e1 100000000000000 -> 1230
|
||
|
|
dqrem872 remainder 123e1 10000000000000 -> 1230
|
||
|
|
dqrem873 remainder 123e1 1000000000000 -> 1230
|
||
|
|
dqrem874 remainder 123e1 100000000000 -> 1230
|
||
|
|
dqrem875 remainder 123e1 10000000000 -> 1230
|
||
|
|
dqrem876 remainder 123e1 1000000000 -> 1230
|
||
|
|
dqrem877 remainder 123e1 100000000 -> 1230
|
||
|
|
dqrem878 remainder 1230 100000000 -> 1230
|
||
|
|
dqrem879 remainder 123e1 10000000 -> 1230
|
||
|
|
dqrem880 remainder 123e1 1000000 -> 1230
|
||
|
|
dqrem881 remainder 123e1 100000 -> 1230
|
||
|
|
dqrem882 remainder 123e1 10000 -> 1230
|
||
|
|
dqrem883 remainder 123e1 1000 -> 230
|
||
|
|
dqrem884 remainder 123e1 100 -> 30
|
||
|
|
dqrem885 remainder 123e1 10 -> 0
|
||
|
|
dqrem886 remainder 123e1 1 -> 0
|
||
|
|
|
||
|
|
dqrem890 remainder 123e1 2000000000000000 -> 1230
|
||
|
|
dqrem891 remainder 123e1 200000000000000 -> 1230
|
||
|
|
dqrem892 remainder 123e1 20000000000000 -> 1230
|
||
|
|
dqrem893 remainder 123e1 2000000000000 -> 1230
|
||
|
|
dqrem894 remainder 123e1 200000000000 -> 1230
|
||
|
|
dqrem895 remainder 123e1 20000000000 -> 1230
|
||
|
|
dqrem896 remainder 123e1 2000000000 -> 1230
|
||
|
|
dqrem897 remainder 123e1 200000000 -> 1230
|
||
|
|
dqrem899 remainder 123e1 20000000 -> 1230
|
||
|
|
dqrem900 remainder 123e1 2000000 -> 1230
|
||
|
|
dqrem901 remainder 123e1 200000 -> 1230
|
||
|
|
dqrem902 remainder 123e1 20000 -> 1230
|
||
|
|
dqrem903 remainder 123e1 2000 -> 1230
|
||
|
|
dqrem904 remainder 123e1 200 -> 30
|
||
|
|
dqrem905 remainder 123e1 20 -> 10
|
||
|
|
dqrem906 remainder 123e1 2 -> 0
|
||
|
|
|
||
|
|
dqrem910 remainder 123e1 5000000000000000 -> 1230
|
||
|
|
dqrem911 remainder 123e1 500000000000000 -> 1230
|
||
|
|
dqrem912 remainder 123e1 50000000000000 -> 1230
|
||
|
|
dqrem913 remainder 123e1 5000000000000 -> 1230
|
||
|
|
dqrem914 remainder 123e1 500000000000 -> 1230
|
||
|
|
dqrem915 remainder 123e1 50000000000 -> 1230
|
||
|
|
dqrem916 remainder 123e1 5000000000 -> 1230
|
||
|
|
dqrem917 remainder 123e1 500000000 -> 1230
|
||
|
|
dqrem919 remainder 123e1 50000000 -> 1230
|
||
|
|
dqrem920 remainder 123e1 5000000 -> 1230
|
||
|
|
dqrem921 remainder 123e1 500000 -> 1230
|
||
|
|
dqrem922 remainder 123e1 50000 -> 1230
|
||
|
|
dqrem923 remainder 123e1 5000 -> 1230
|
||
|
|
dqrem924 remainder 123e1 500 -> 230
|
||
|
|
dqrem925 remainder 123e1 50 -> 30
|
||
|
|
dqrem926 remainder 123e1 5 -> 0
|
||
|
|
|
||
|
|
dqrem930 remainder 123e1 9000000000000000 -> 1230
|
||
|
|
dqrem931 remainder 123e1 900000000000000 -> 1230
|
||
|
|
dqrem932 remainder 123e1 90000000000000 -> 1230
|
||
|
|
dqrem933 remainder 123e1 9000000000000 -> 1230
|
||
|
|
dqrem934 remainder 123e1 900000000000 -> 1230
|
||
|
|
dqrem935 remainder 123e1 90000000000 -> 1230
|
||
|
|
dqrem936 remainder 123e1 9000000000 -> 1230
|
||
|
|
dqrem937 remainder 123e1 900000000 -> 1230
|
||
|
|
dqrem939 remainder 123e1 90000000 -> 1230
|
||
|
|
dqrem940 remainder 123e1 9000000 -> 1230
|
||
|
|
dqrem941 remainder 123e1 900000 -> 1230
|
||
|
|
dqrem942 remainder 123e1 90000 -> 1230
|
||
|
|
dqrem943 remainder 123e1 9000 -> 1230
|
||
|
|
dqrem944 remainder 123e1 900 -> 330
|
||
|
|
dqrem945 remainder 123e1 90 -> 60
|
||
|
|
dqrem946 remainder 123e1 9 -> 6
|
||
|
|
|
||
|
|
dqrem950 remainder 123e1 1000000000000000 -> 1230
|
||
|
|
dqrem961 remainder 123e1 2999999999999999 -> 1230
|
||
|
|
dqrem962 remainder 123e1 3999999999999999 -> 1230
|
||
|
|
dqrem963 remainder 123e1 4999999999999999 -> 1230
|
||
|
|
dqrem964 remainder 123e1 5999999999999999 -> 1230
|
||
|
|
dqrem965 remainder 123e1 6999999999999999 -> 1230
|
||
|
|
dqrem966 remainder 123e1 7999999999999999 -> 1230
|
||
|
|
dqrem967 remainder 123e1 8999999999999999 -> 1230
|
||
|
|
dqrem968 remainder 123e1 9999999999999999 -> 1230
|
||
|
|
dqrem969 remainder 123e1 9876543210987654 -> 1230
|
||
|
|
|
||
|
|
dqrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally
|
||
|
|
|
||
|
|
-- overflow and underflow tests [from divide]
|
||
|
|
dqrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible
|
||
|
|
dqrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible
|
||
|
|
dqrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible
|
||
|
|
dqrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible
|
||
|
|
dqrem1055 remainder 1e-277 1e+311 -> 1E-277
|
||
|
|
dqrem1056 remainder 1e-277 -1e+311 -> 1E-277
|
||
|
|
dqrem1057 remainder -1e-277 1e+311 -> -1E-277
|
||
|
|
dqrem1058 remainder -1e-277 -1e+311 -> -1E-277
|
||
|
|
|
||
|
|
-- Gyuris example
|
||
|
|
dqrem1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143
|
||
|
|
|
||
|
|
-- destructive subtract
|
||
|
|
dqrem1120 remainder 1234567890123456789012345678901234 1.000000000000000000000000000000001 -> 0.765432109876543210987654321098768
|
||
|
|
dqrem1121 remainder 1234567890123456789012345678901234 1.00000000000000000000000000000001 -> 0.65432109876543210987654321098779
|
||
|
|
dqrem1122 remainder 1234567890123456789012345678901234 1.0000000000000000000000000000001 -> 0.5432109876543210987654321098890
|
||
|
|
dqrem1123 remainder 1234567890123456789012345678901255 4.000000000000000000000000000000001 -> 2.691358027469135802746913580274687
|
||
|
|
dqrem1124 remainder 1234567890123456789012345678901234 4.000000000000000000000000000000001 -> 1.691358027469135802746913580274692
|
||
|
|
dqrem1125 remainder 1234567890123456789012345678901234 4.9999999999999999999999999999999 -> 3.6913578024691357802469135780251
|
||
|
|
dqrem1126 remainder 1234567890123456789012345678901234 4.99999999999999999999999999999999 -> 1.46913578024691357802469135780247
|
||
|
|
dqrem1127 remainder 1234567890123456789012345678901234 4.999999999999999999999999999999999 -> 4.246913578024691357802469135780246
|
||
|
|
dqrem1128 remainder 1234567890123456789012345678901234 5.0000000000000000000000000000001 -> 4.3086421975308642197530864219759
|
||
|
|
|
||
|
|
-- Null tests
|
||
|
|
dqrem1000 remainder 10 # -> NaN Invalid_operation
|
||
|
|
dqrem1001 remainder # 10 -> NaN Invalid_operation
|
||
|
|
|