mirror of https://github.com/python/cpython
588 lines
26 KiB
Plaintext
588 lines
26 KiB
Plaintext
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------------------------------------------------------------------------
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-- ddRemainder.decTest -- decDouble remainder --
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-- Copyright (c) IBM Corporation, 1981, 2007. All rights reserved. --
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------------------------------------------------------------------------
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-- Please see the document "General Decimal Arithmetic Testcases" --
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-- at http://www2.hursley.ibm.com/decimal for the description of --
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-- these testcases. --
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-- --
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-- These testcases are experimental ('beta' versions), and they --
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-- may contain errors. They are offered on an as-is basis. In --
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-- particular, achieving the same results as the tests here is not --
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-- a guarantee that an implementation complies with any Standard --
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-- or specification. The tests are not exhaustive. --
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-- --
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-- Please send comments, suggestions, and corrections to the author: --
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-- Mike Cowlishaw, IBM Fellow --
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-- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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-- mfc@uk.ibm.com --
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------------------------------------------------------------------------
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version: 2.56
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precision: 16
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maxExponent: 384
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minExponent: -383
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extended: 1
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clamp: 1
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rounding: half_even
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-- sanity checks (as base, above)
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ddrem001 remainder 1 1 -> 0
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ddrem002 remainder 2 1 -> 0
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ddrem003 remainder 1 2 -> 1
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ddrem004 remainder 2 2 -> 0
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ddrem005 remainder 0 1 -> 0
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ddrem006 remainder 0 2 -> 0
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ddrem007 remainder 1 3 -> 1
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ddrem008 remainder 2 3 -> 2
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ddrem009 remainder 3 3 -> 0
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ddrem010 remainder 2.4 1 -> 0.4
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ddrem011 remainder 2.4 -1 -> 0.4
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ddrem012 remainder -2.4 1 -> -0.4
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ddrem013 remainder -2.4 -1 -> -0.4
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ddrem014 remainder 2.40 1 -> 0.40
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ddrem015 remainder 2.400 1 -> 0.400
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ddrem016 remainder 2.4 2 -> 0.4
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ddrem017 remainder 2.400 2 -> 0.400
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ddrem018 remainder 2. 2 -> 0
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ddrem019 remainder 20 20 -> 0
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ddrem020 remainder 187 187 -> 0
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ddrem021 remainder 5 2 -> 1
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ddrem022 remainder 5 2.0 -> 1.0
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ddrem023 remainder 5 2.000 -> 1.000
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ddrem024 remainder 5 0.200 -> 0.000
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ddrem025 remainder 5 0.200 -> 0.000
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ddrem030 remainder 1 2 -> 1
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ddrem031 remainder 1 4 -> 1
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ddrem032 remainder 1 8 -> 1
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ddrem033 remainder 1 16 -> 1
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ddrem034 remainder 1 32 -> 1
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ddrem035 remainder 1 64 -> 1
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ddrem040 remainder 1 -2 -> 1
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ddrem041 remainder 1 -4 -> 1
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ddrem042 remainder 1 -8 -> 1
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ddrem043 remainder 1 -16 -> 1
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ddrem044 remainder 1 -32 -> 1
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ddrem045 remainder 1 -64 -> 1
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ddrem050 remainder -1 2 -> -1
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ddrem051 remainder -1 4 -> -1
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ddrem052 remainder -1 8 -> -1
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ddrem053 remainder -1 16 -> -1
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ddrem054 remainder -1 32 -> -1
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ddrem055 remainder -1 64 -> -1
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ddrem060 remainder -1 -2 -> -1
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ddrem061 remainder -1 -4 -> -1
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ddrem062 remainder -1 -8 -> -1
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ddrem063 remainder -1 -16 -> -1
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ddrem064 remainder -1 -32 -> -1
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ddrem065 remainder -1 -64 -> -1
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ddrem066 remainder 999999999 1 -> 0
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ddrem067 remainder 999999999.4 1 -> 0.4
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ddrem068 remainder 999999999.5 1 -> 0.5
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ddrem069 remainder 999999999.9 1 -> 0.9
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ddrem070 remainder 999999999.999 1 -> 0.999
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ddrem071 remainder 999999.999999 1 -> 0.999999
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ddrem072 remainder 9 1 -> 0
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ddrem073 remainder 9999999999999999 1 -> 0
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ddrem074 remainder 9999999999999999 2 -> 1
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ddrem075 remainder 9999999999999999 3 -> 0
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ddrem076 remainder 9999999999999999 4 -> 3
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ddrem080 remainder 0. 1 -> 0
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ddrem081 remainder .0 1 -> 0.0
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ddrem082 remainder 0.00 1 -> 0.00
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ddrem083 remainder 0.00E+9 1 -> 0
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ddrem084 remainder 0.00E+3 1 -> 0
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ddrem085 remainder 0.00E+2 1 -> 0
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ddrem086 remainder 0.00E+1 1 -> 0.0
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ddrem087 remainder 0.00E+0 1 -> 0.00
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ddrem088 remainder 0.00E-0 1 -> 0.00
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ddrem089 remainder 0.00E-1 1 -> 0.000
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ddrem090 remainder 0.00E-2 1 -> 0.0000
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ddrem091 remainder 0.00E-3 1 -> 0.00000
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ddrem092 remainder 0.00E-4 1 -> 0.000000
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ddrem093 remainder 0.00E-5 1 -> 0E-7
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ddrem094 remainder 0.00E-6 1 -> 0E-8
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ddrem095 remainder 0.0000E-50 1 -> 0E-54
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-- Various flavours of remainder by 0
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ddrem101 remainder 0 0 -> NaN Division_undefined
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ddrem102 remainder 0 -0 -> NaN Division_undefined
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ddrem103 remainder -0 0 -> NaN Division_undefined
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ddrem104 remainder -0 -0 -> NaN Division_undefined
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ddrem105 remainder 0.0E5 0 -> NaN Division_undefined
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ddrem106 remainder 0.000 0 -> NaN Division_undefined
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-- [Some think this next group should be Division_by_zero exception, but
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-- IEEE 854 is explicit that it is Invalid operation .. for
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-- remainder-near, anyway]
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ddrem107 remainder 0.0001 0 -> NaN Invalid_operation
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ddrem108 remainder 0.01 0 -> NaN Invalid_operation
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ddrem109 remainder 0.1 0 -> NaN Invalid_operation
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ddrem110 remainder 1 0 -> NaN Invalid_operation
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ddrem111 remainder 1 0.0 -> NaN Invalid_operation
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ddrem112 remainder 10 0.0 -> NaN Invalid_operation
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ddrem113 remainder 1E+100 0.0 -> NaN Invalid_operation
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ddrem114 remainder 1E+380 0 -> NaN Invalid_operation
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ddrem115 remainder 0.0001 -0 -> NaN Invalid_operation
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ddrem116 remainder 0.01 -0 -> NaN Invalid_operation
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ddrem119 remainder 0.1 -0 -> NaN Invalid_operation
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ddrem120 remainder 1 -0 -> NaN Invalid_operation
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ddrem121 remainder 1 -0.0 -> NaN Invalid_operation
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ddrem122 remainder 10 -0.0 -> NaN Invalid_operation
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ddrem123 remainder 1E+100 -0.0 -> NaN Invalid_operation
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ddrem124 remainder 1E+384 -0 -> NaN Invalid_operation
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-- and zeros on left
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ddrem130 remainder 0 1 -> 0
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ddrem131 remainder 0 -1 -> 0
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ddrem132 remainder 0.0 1 -> 0.0
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ddrem133 remainder 0.0 -1 -> 0.0
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ddrem134 remainder -0 1 -> -0
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ddrem135 remainder -0 -1 -> -0
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ddrem136 remainder -0.0 1 -> -0.0
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ddrem137 remainder -0.0 -1 -> -0.0
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-- 0.5ers
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ddrem143 remainder 0.5 2 -> 0.5
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ddrem144 remainder 0.5 2.1 -> 0.5
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ddrem145 remainder 0.5 2.01 -> 0.50
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ddrem146 remainder 0.5 2.001 -> 0.500
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ddrem147 remainder 0.50 2 -> 0.50
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ddrem148 remainder 0.50 2.01 -> 0.50
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ddrem149 remainder 0.50 2.001 -> 0.500
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-- steadies
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ddrem150 remainder 1 1 -> 0
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ddrem151 remainder 1 2 -> 1
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ddrem152 remainder 1 3 -> 1
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ddrem153 remainder 1 4 -> 1
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ddrem154 remainder 1 5 -> 1
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ddrem155 remainder 1 6 -> 1
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ddrem156 remainder 1 7 -> 1
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ddrem157 remainder 1 8 -> 1
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ddrem158 remainder 1 9 -> 1
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ddrem159 remainder 1 10 -> 1
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ddrem160 remainder 1 1 -> 0
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ddrem161 remainder 2 1 -> 0
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ddrem162 remainder 3 1 -> 0
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ddrem163 remainder 4 1 -> 0
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ddrem164 remainder 5 1 -> 0
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ddrem165 remainder 6 1 -> 0
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ddrem166 remainder 7 1 -> 0
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ddrem167 remainder 8 1 -> 0
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ddrem168 remainder 9 1 -> 0
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ddrem169 remainder 10 1 -> 0
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-- some differences from remainderNear
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ddrem171 remainder 0.4 1.020 -> 0.400
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ddrem172 remainder 0.50 1.020 -> 0.500
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ddrem173 remainder 0.51 1.020 -> 0.510
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ddrem174 remainder 0.52 1.020 -> 0.520
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ddrem175 remainder 0.6 1.020 -> 0.600
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-- More flavours of remainder by 0
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ddrem201 remainder 0 0 -> NaN Division_undefined
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ddrem202 remainder 0.0E5 0 -> NaN Division_undefined
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ddrem203 remainder 0.000 0 -> NaN Division_undefined
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ddrem204 remainder 0.0001 0 -> NaN Invalid_operation
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ddrem205 remainder 0.01 0 -> NaN Invalid_operation
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ddrem206 remainder 0.1 0 -> NaN Invalid_operation
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ddrem207 remainder 1 0 -> NaN Invalid_operation
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ddrem208 remainder 1 0.0 -> NaN Invalid_operation
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ddrem209 remainder 10 0.0 -> NaN Invalid_operation
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ddrem210 remainder 1E+100 0.0 -> NaN Invalid_operation
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ddrem211 remainder 1E+380 0 -> NaN Invalid_operation
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-- some differences from remainderNear
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ddrem231 remainder -0.4 1.020 -> -0.400
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ddrem232 remainder -0.50 1.020 -> -0.500
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ddrem233 remainder -0.51 1.020 -> -0.510
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ddrem234 remainder -0.52 1.020 -> -0.520
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ddrem235 remainder -0.6 1.020 -> -0.600
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-- high Xs
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ddrem240 remainder 1E+2 1.00 -> 0.00
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-- ddrem3xx are from DiagBigDecimal
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ddrem301 remainder 1 3 -> 1
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ddrem302 remainder 5 5 -> 0
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ddrem303 remainder 13 10 -> 3
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ddrem304 remainder 13 50 -> 13
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ddrem305 remainder 13 100 -> 13
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ddrem306 remainder 13 1000 -> 13
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ddrem307 remainder .13 1 -> 0.13
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ddrem308 remainder 0.133 1 -> 0.133
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ddrem309 remainder 0.1033 1 -> 0.1033
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ddrem310 remainder 1.033 1 -> 0.033
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ddrem311 remainder 10.33 1 -> 0.33
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ddrem312 remainder 10.33 10 -> 0.33
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ddrem313 remainder 103.3 1 -> 0.3
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ddrem314 remainder 133 10 -> 3
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ddrem315 remainder 1033 10 -> 3
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ddrem316 remainder 1033 50 -> 33
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ddrem317 remainder 101.0 3 -> 2.0
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ddrem318 remainder 102.0 3 -> 0.0
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ddrem319 remainder 103.0 3 -> 1.0
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ddrem320 remainder 2.40 1 -> 0.40
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ddrem321 remainder 2.400 1 -> 0.400
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ddrem322 remainder 2.4 1 -> 0.4
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ddrem323 remainder 2.4 2 -> 0.4
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ddrem324 remainder 2.400 2 -> 0.400
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ddrem325 remainder 1 0.3 -> 0.1
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ddrem326 remainder 1 0.30 -> 0.10
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ddrem327 remainder 1 0.300 -> 0.100
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ddrem328 remainder 1 0.3000 -> 0.1000
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ddrem329 remainder 1.0 0.3 -> 0.1
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ddrem330 remainder 1.00 0.3 -> 0.10
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ddrem331 remainder 1.000 0.3 -> 0.100
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ddrem332 remainder 1.0000 0.3 -> 0.1000
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ddrem333 remainder 0.5 2 -> 0.5
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ddrem334 remainder 0.5 2.1 -> 0.5
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ddrem335 remainder 0.5 2.01 -> 0.50
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ddrem336 remainder 0.5 2.001 -> 0.500
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ddrem337 remainder 0.50 2 -> 0.50
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ddrem338 remainder 0.50 2.01 -> 0.50
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ddrem339 remainder 0.50 2.001 -> 0.500
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ddrem340 remainder 0.5 0.5000001 -> 0.5000000
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ddrem341 remainder 0.5 0.50000001 -> 0.50000000
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ddrem342 remainder 0.5 0.500000001 -> 0.500000000
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ddrem343 remainder 0.5 0.5000000001 -> 0.5000000000
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ddrem344 remainder 0.5 0.50000000001 -> 0.50000000000
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ddrem345 remainder 0.5 0.4999999 -> 1E-7
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ddrem346 remainder 0.5 0.49999999 -> 1E-8
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ddrem347 remainder 0.5 0.499999999 -> 1E-9
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ddrem348 remainder 0.5 0.4999999999 -> 1E-10
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ddrem349 remainder 0.5 0.49999999999 -> 1E-11
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ddrem350 remainder 0.5 0.499999999999 -> 1E-12
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ddrem351 remainder 0.03 7 -> 0.03
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ddrem352 remainder 5 2 -> 1
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ddrem353 remainder 4.1 2 -> 0.1
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ddrem354 remainder 4.01 2 -> 0.01
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ddrem355 remainder 4.001 2 -> 0.001
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ddrem356 remainder 4.0001 2 -> 0.0001
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ddrem357 remainder 4.00001 2 -> 0.00001
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ddrem358 remainder 4.000001 2 -> 0.000001
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ddrem359 remainder 4.0000001 2 -> 1E-7
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ddrem360 remainder 1.2 0.7345 -> 0.4655
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ddrem361 remainder 0.8 12 -> 0.8
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ddrem362 remainder 0.8 0.2 -> 0.0
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ddrem363 remainder 0.8 0.3 -> 0.2
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ddrem364 remainder 0.800 12 -> 0.800
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ddrem365 remainder 0.800 1.7 -> 0.800
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ddrem366 remainder 2.400 2 -> 0.400
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ddrem371 remainder 2.400 2 -> 0.400
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ddrem381 remainder 12345 1 -> 0
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ddrem382 remainder 12345 1.0001 -> 0.7657
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ddrem383 remainder 12345 1.001 -> 0.668
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ddrem384 remainder 12345 1.01 -> 0.78
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ddrem385 remainder 12345 1.1 -> 0.8
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ddrem386 remainder 12355 4 -> 3
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ddrem387 remainder 12345 4 -> 1
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ddrem388 remainder 12355 4.0001 -> 2.6912
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ddrem389 remainder 12345 4.0001 -> 0.6914
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ddrem390 remainder 12345 4.9 -> 1.9
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ddrem391 remainder 12345 4.99 -> 4.73
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ddrem392 remainder 12345 4.999 -> 2.469
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ddrem393 remainder 12345 4.9999 -> 0.2469
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ddrem394 remainder 12345 5 -> 0
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ddrem395 remainder 12345 5.0001 -> 4.7532
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ddrem396 remainder 12345 5.001 -> 2.532
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ddrem397 remainder 12345 5.01 -> 0.36
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ddrem398 remainder 12345 5.1 -> 3.0
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-- the nasty division-by-1 cases
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ddrem401 remainder 0.5 1 -> 0.5
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ddrem402 remainder 0.55 1 -> 0.55
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ddrem403 remainder 0.555 1 -> 0.555
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ddrem404 remainder 0.5555 1 -> 0.5555
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ddrem405 remainder 0.55555 1 -> 0.55555
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ddrem406 remainder 0.555555 1 -> 0.555555
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ddrem407 remainder 0.5555555 1 -> 0.5555555
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ddrem408 remainder 0.55555555 1 -> 0.55555555
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ddrem409 remainder 0.555555555 1 -> 0.555555555
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-- folddowns
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ddrem421 remainder 1E+384 1 -> NaN Division_impossible
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ddrem422 remainder 1E+384 1E+383 -> 0E+369 Clamped
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ddrem423 remainder 1E+384 2E+383 -> 0E+369 Clamped
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ddrem424 remainder 1E+384 3E+383 -> 1.00000000000000E+383 Clamped
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ddrem425 remainder 1E+384 4E+383 -> 2.00000000000000E+383 Clamped
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ddrem426 remainder 1E+384 5E+383 -> 0E+369 Clamped
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ddrem427 remainder 1E+384 6E+383 -> 4.00000000000000E+383 Clamped
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ddrem428 remainder 1E+384 7E+383 -> 3.00000000000000E+383 Clamped
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ddrem429 remainder 1E+384 8E+383 -> 2.00000000000000E+383 Clamped
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ddrem430 remainder 1E+384 9E+383 -> 1.00000000000000E+383 Clamped
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-- tinies
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ddrem431 remainder 1E-397 1E-398 -> 0E-398
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ddrem432 remainder 1E-397 2E-398 -> 0E-398
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ddrem433 remainder 1E-397 3E-398 -> 1E-398 Subnormal
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|
|
ddrem434 remainder 1E-397 4E-398 -> 2E-398 Subnormal
|
||
|
|
ddrem435 remainder 1E-397 5E-398 -> 0E-398
|
||
|
|
ddrem436 remainder 1E-397 6E-398 -> 4E-398 Subnormal
|
||
|
|
ddrem437 remainder 1E-397 7E-398 -> 3E-398 Subnormal
|
||
|
|
ddrem438 remainder 1E-397 8E-398 -> 2E-398 Subnormal
|
||
|
|
ddrem439 remainder 1E-397 9E-398 -> 1E-398 Subnormal
|
||
|
|
ddrem440 remainder 1E-397 10E-398 -> 0E-398
|
||
|
|
ddrem441 remainder 1E-397 11E-398 -> 1.0E-397 Subnormal
|
||
|
|
ddrem442 remainder 100E-397 11E-398 -> 1.0E-397 Subnormal
|
||
|
|
ddrem443 remainder 100E-397 20E-398 -> 0E-398
|
||
|
|
ddrem444 remainder 100E-397 21E-398 -> 1.3E-397 Subnormal
|
||
|
|
ddrem445 remainder 100E-397 30E-398 -> 1.0E-397 Subnormal
|
||
|
|
|
||
|
|
-- zero signs
|
||
|
|
ddrem650 remainder 1 1 -> 0
|
||
|
|
ddrem651 remainder -1 1 -> -0
|
||
|
|
ddrem652 remainder 1 -1 -> 0
|
||
|
|
ddrem653 remainder -1 -1 -> -0
|
||
|
|
ddrem654 remainder 0 1 -> 0
|
||
|
|
ddrem655 remainder -0 1 -> -0
|
||
|
|
ddrem656 remainder 0 -1 -> 0
|
||
|
|
ddrem657 remainder -0 -1 -> -0
|
||
|
|
ddrem658 remainder 0.00 1 -> 0.00
|
||
|
|
ddrem659 remainder -0.00 1 -> -0.00
|
||
|
|
|
||
|
|
-- Specials
|
||
|
|
ddrem680 remainder Inf -Inf -> NaN Invalid_operation
|
||
|
|
ddrem681 remainder Inf -1000 -> NaN Invalid_operation
|
||
|
|
ddrem682 remainder Inf -1 -> NaN Invalid_operation
|
||
|
|
ddrem683 remainder Inf 0 -> NaN Invalid_operation
|
||
|
|
ddrem684 remainder Inf -0 -> NaN Invalid_operation
|
||
|
|
ddrem685 remainder Inf 1 -> NaN Invalid_operation
|
||
|
|
ddrem686 remainder Inf 1000 -> NaN Invalid_operation
|
||
|
|
ddrem687 remainder Inf Inf -> NaN Invalid_operation
|
||
|
|
ddrem688 remainder -1000 Inf -> -1000
|
||
|
|
ddrem689 remainder -Inf Inf -> NaN Invalid_operation
|
||
|
|
ddrem691 remainder -1 Inf -> -1
|
||
|
|
ddrem692 remainder 0 Inf -> 0
|
||
|
|
ddrem693 remainder -0 Inf -> -0
|
||
|
|
ddrem694 remainder 1 Inf -> 1
|
||
|
|
ddrem695 remainder 1000 Inf -> 1000
|
||
|
|
ddrem696 remainder Inf Inf -> NaN Invalid_operation
|
||
|
|
|
||
|
|
ddrem700 remainder -Inf -Inf -> NaN Invalid_operation
|
||
|
|
ddrem701 remainder -Inf -1000 -> NaN Invalid_operation
|
||
|
|
ddrem702 remainder -Inf -1 -> NaN Invalid_operation
|
||
|
|
ddrem703 remainder -Inf -0 -> NaN Invalid_operation
|
||
|
|
ddrem704 remainder -Inf 0 -> NaN Invalid_operation
|
||
|
|
ddrem705 remainder -Inf 1 -> NaN Invalid_operation
|
||
|
|
ddrem706 remainder -Inf 1000 -> NaN Invalid_operation
|
||
|
|
ddrem707 remainder -Inf Inf -> NaN Invalid_operation
|
||
|
|
ddrem708 remainder -Inf -Inf -> NaN Invalid_operation
|
||
|
|
ddrem709 remainder -1000 Inf -> -1000
|
||
|
|
ddrem710 remainder -1 -Inf -> -1
|
||
|
|
ddrem711 remainder -0 -Inf -> -0
|
||
|
|
ddrem712 remainder 0 -Inf -> 0
|
||
|
|
ddrem713 remainder 1 -Inf -> 1
|
||
|
|
ddrem714 remainder 1000 -Inf -> 1000
|
||
|
|
ddrem715 remainder Inf -Inf -> NaN Invalid_operation
|
||
|
|
|
||
|
|
ddrem721 remainder NaN -Inf -> NaN
|
||
|
|
ddrem722 remainder NaN -1000 -> NaN
|
||
|
|
ddrem723 remainder NaN -1 -> NaN
|
||
|
|
ddrem724 remainder NaN -0 -> NaN
|
||
|
|
ddrem725 remainder -NaN 0 -> -NaN
|
||
|
|
ddrem726 remainder NaN 1 -> NaN
|
||
|
|
ddrem727 remainder NaN 1000 -> NaN
|
||
|
|
ddrem728 remainder NaN Inf -> NaN
|
||
|
|
ddrem729 remainder NaN -NaN -> NaN
|
||
|
|
ddrem730 remainder -Inf NaN -> NaN
|
||
|
|
ddrem731 remainder -1000 NaN -> NaN
|
||
|
|
ddrem732 remainder -1 NaN -> NaN
|
||
|
|
ddrem733 remainder -0 -NaN -> -NaN
|
||
|
|
ddrem734 remainder 0 NaN -> NaN
|
||
|
|
ddrem735 remainder 1 -NaN -> -NaN
|
||
|
|
ddrem736 remainder 1000 NaN -> NaN
|
||
|
|
ddrem737 remainder Inf NaN -> NaN
|
||
|
|
|
||
|
|
ddrem741 remainder sNaN -Inf -> NaN Invalid_operation
|
||
|
|
ddrem742 remainder sNaN -1000 -> NaN Invalid_operation
|
||
|
|
ddrem743 remainder -sNaN -1 -> -NaN Invalid_operation
|
||
|
|
ddrem744 remainder sNaN -0 -> NaN Invalid_operation
|
||
|
|
ddrem745 remainder sNaN 0 -> NaN Invalid_operation
|
||
|
|
ddrem746 remainder sNaN 1 -> NaN Invalid_operation
|
||
|
|
ddrem747 remainder sNaN 1000 -> NaN Invalid_operation
|
||
|
|
ddrem749 remainder sNaN NaN -> NaN Invalid_operation
|
||
|
|
ddrem750 remainder sNaN sNaN -> NaN Invalid_operation
|
||
|
|
ddrem751 remainder NaN sNaN -> NaN Invalid_operation
|
||
|
|
ddrem752 remainder -Inf sNaN -> NaN Invalid_operation
|
||
|
|
ddrem753 remainder -1000 sNaN -> NaN Invalid_operation
|
||
|
|
ddrem754 remainder -1 sNaN -> NaN Invalid_operation
|
||
|
|
ddrem755 remainder -0 sNaN -> NaN Invalid_operation
|
||
|
|
ddrem756 remainder 0 sNaN -> NaN Invalid_operation
|
||
|
|
ddrem757 remainder 1 sNaN -> NaN Invalid_operation
|
||
|
|
ddrem758 remainder 1000 sNaN -> NaN Invalid_operation
|
||
|
|
ddrem759 remainder Inf -sNaN -> -NaN Invalid_operation
|
||
|
|
|
||
|
|
-- propaging NaNs
|
||
|
|
ddrem760 remainder NaN1 NaN7 -> NaN1
|
||
|
|
ddrem761 remainder sNaN2 NaN8 -> NaN2 Invalid_operation
|
||
|
|
ddrem762 remainder NaN3 sNaN9 -> NaN9 Invalid_operation
|
||
|
|
ddrem763 remainder sNaN4 sNaN10 -> NaN4 Invalid_operation
|
||
|
|
ddrem764 remainder 15 NaN11 -> NaN11
|
||
|
|
ddrem765 remainder NaN6 NaN12 -> NaN6
|
||
|
|
ddrem766 remainder Inf NaN13 -> NaN13
|
||
|
|
ddrem767 remainder NaN14 -Inf -> NaN14
|
||
|
|
ddrem768 remainder 0 NaN15 -> NaN15
|
||
|
|
ddrem769 remainder NaN16 -0 -> NaN16
|
||
|
|
|
||
|
|
-- edge cases of impossible
|
||
|
|
ddrem770 remainder 1234567890123456 10 -> 6
|
||
|
|
ddrem771 remainder 1234567890123456 1 -> 0
|
||
|
|
ddrem772 remainder 1234567890123456 0.1 -> NaN Division_impossible
|
||
|
|
ddrem773 remainder 1234567890123456 0.01 -> NaN Division_impossible
|
||
|
|
|
||
|
|
-- long operand checks
|
||
|
|
ddrem801 remainder 12345678000 100 -> 0
|
||
|
|
ddrem802 remainder 1 12345678000 -> 1
|
||
|
|
ddrem803 remainder 1234567800 10 -> 0
|
||
|
|
ddrem804 remainder 1 1234567800 -> 1
|
||
|
|
ddrem805 remainder 1234567890 10 -> 0
|
||
|
|
ddrem806 remainder 1 1234567890 -> 1
|
||
|
|
ddrem807 remainder 1234567891 10 -> 1
|
||
|
|
ddrem808 remainder 1 1234567891 -> 1
|
||
|
|
ddrem809 remainder 12345678901 100 -> 1
|
||
|
|
ddrem810 remainder 1 12345678901 -> 1
|
||
|
|
ddrem811 remainder 1234567896 10 -> 6
|
||
|
|
ddrem812 remainder 1 1234567896 -> 1
|
||
|
|
|
||
|
|
ddrem821 remainder 12345678000 100 -> 0
|
||
|
|
ddrem822 remainder 1 12345678000 -> 1
|
||
|
|
ddrem823 remainder 1234567800 10 -> 0
|
||
|
|
ddrem824 remainder 1 1234567800 -> 1
|
||
|
|
ddrem825 remainder 1234567890 10 -> 0
|
||
|
|
ddrem826 remainder 1 1234567890 -> 1
|
||
|
|
ddrem827 remainder 1234567891 10 -> 1
|
||
|
|
ddrem828 remainder 1 1234567891 -> 1
|
||
|
|
ddrem829 remainder 12345678901 100 -> 1
|
||
|
|
ddrem830 remainder 1 12345678901 -> 1
|
||
|
|
ddrem831 remainder 1234567896 10 -> 6
|
||
|
|
ddrem832 remainder 1 1234567896 -> 1
|
||
|
|
|
||
|
|
-- from divideint
|
||
|
|
ddrem840 remainder 100000000.0 1 -> 0.0
|
||
|
|
ddrem841 remainder 100000000.4 1 -> 0.4
|
||
|
|
ddrem842 remainder 100000000.5 1 -> 0.5
|
||
|
|
ddrem843 remainder 100000000.9 1 -> 0.9
|
||
|
|
ddrem844 remainder 100000000.999 1 -> 0.999
|
||
|
|
ddrem850 remainder 100000003 5 -> 3
|
||
|
|
ddrem851 remainder 10000003 5 -> 3
|
||
|
|
ddrem852 remainder 1000003 5 -> 3
|
||
|
|
ddrem853 remainder 100003 5 -> 3
|
||
|
|
ddrem854 remainder 10003 5 -> 3
|
||
|
|
ddrem855 remainder 1003 5 -> 3
|
||
|
|
ddrem856 remainder 103 5 -> 3
|
||
|
|
ddrem857 remainder 13 5 -> 3
|
||
|
|
ddrem858 remainder 1 5 -> 1
|
||
|
|
|
||
|
|
-- Vladimir's cases 1234567890123456
|
||
|
|
ddrem860 remainder 123.0e1 1000000000000000 -> 1230
|
||
|
|
ddrem861 remainder 1230 1000000000000000 -> 1230
|
||
|
|
ddrem862 remainder 12.3e2 1000000000000000 -> 1230
|
||
|
|
ddrem863 remainder 1.23e3 1000000000000000 -> 1230
|
||
|
|
ddrem864 remainder 123e1 1000000000000000 -> 1230
|
||
|
|
ddrem870 remainder 123e1 1000000000000000 -> 1230
|
||
|
|
ddrem871 remainder 123e1 100000000000000 -> 1230
|
||
|
|
ddrem872 remainder 123e1 10000000000000 -> 1230
|
||
|
|
ddrem873 remainder 123e1 1000000000000 -> 1230
|
||
|
|
ddrem874 remainder 123e1 100000000000 -> 1230
|
||
|
|
ddrem875 remainder 123e1 10000000000 -> 1230
|
||
|
|
ddrem876 remainder 123e1 1000000000 -> 1230
|
||
|
|
ddrem877 remainder 123e1 100000000 -> 1230
|
||
|
|
ddrem878 remainder 1230 100000000 -> 1230
|
||
|
|
ddrem879 remainder 123e1 10000000 -> 1230
|
||
|
|
ddrem880 remainder 123e1 1000000 -> 1230
|
||
|
|
ddrem881 remainder 123e1 100000 -> 1230
|
||
|
|
ddrem882 remainder 123e1 10000 -> 1230
|
||
|
|
ddrem883 remainder 123e1 1000 -> 230
|
||
|
|
ddrem884 remainder 123e1 100 -> 30
|
||
|
|
ddrem885 remainder 123e1 10 -> 0
|
||
|
|
ddrem886 remainder 123e1 1 -> 0
|
||
|
|
|
||
|
|
ddrem890 remainder 123e1 2000000000000000 -> 1230
|
||
|
|
ddrem891 remainder 123e1 200000000000000 -> 1230
|
||
|
|
ddrem892 remainder 123e1 20000000000000 -> 1230
|
||
|
|
ddrem893 remainder 123e1 2000000000000 -> 1230
|
||
|
|
ddrem894 remainder 123e1 200000000000 -> 1230
|
||
|
|
ddrem895 remainder 123e1 20000000000 -> 1230
|
||
|
|
ddrem896 remainder 123e1 2000000000 -> 1230
|
||
|
|
ddrem897 remainder 123e1 200000000 -> 1230
|
||
|
|
ddrem899 remainder 123e1 20000000 -> 1230
|
||
|
|
ddrem900 remainder 123e1 2000000 -> 1230
|
||
|
|
ddrem901 remainder 123e1 200000 -> 1230
|
||
|
|
ddrem902 remainder 123e1 20000 -> 1230
|
||
|
|
ddrem903 remainder 123e1 2000 -> 1230
|
||
|
|
ddrem904 remainder 123e1 200 -> 30
|
||
|
|
ddrem905 remainder 123e1 20 -> 10
|
||
|
|
ddrem906 remainder 123e1 2 -> 0
|
||
|
|
|
||
|
|
ddrem910 remainder 123e1 5000000000000000 -> 1230
|
||
|
|
ddrem911 remainder 123e1 500000000000000 -> 1230
|
||
|
|
ddrem912 remainder 123e1 50000000000000 -> 1230
|
||
|
|
ddrem913 remainder 123e1 5000000000000 -> 1230
|
||
|
|
ddrem914 remainder 123e1 500000000000 -> 1230
|
||
|
|
ddrem915 remainder 123e1 50000000000 -> 1230
|
||
|
|
ddrem916 remainder 123e1 5000000000 -> 1230
|
||
|
|
ddrem917 remainder 123e1 500000000 -> 1230
|
||
|
|
ddrem919 remainder 123e1 50000000 -> 1230
|
||
|
|
ddrem920 remainder 123e1 5000000 -> 1230
|
||
|
|
ddrem921 remainder 123e1 500000 -> 1230
|
||
|
|
ddrem922 remainder 123e1 50000 -> 1230
|
||
|
|
ddrem923 remainder 123e1 5000 -> 1230
|
||
|
|
ddrem924 remainder 123e1 500 -> 230
|
||
|
|
ddrem925 remainder 123e1 50 -> 30
|
||
|
|
ddrem926 remainder 123e1 5 -> 0
|
||
|
|
|
||
|
|
ddrem930 remainder 123e1 9000000000000000 -> 1230
|
||
|
|
ddrem931 remainder 123e1 900000000000000 -> 1230
|
||
|
|
ddrem932 remainder 123e1 90000000000000 -> 1230
|
||
|
|
ddrem933 remainder 123e1 9000000000000 -> 1230
|
||
|
|
ddrem934 remainder 123e1 900000000000 -> 1230
|
||
|
|
ddrem935 remainder 123e1 90000000000 -> 1230
|
||
|
|
ddrem936 remainder 123e1 9000000000 -> 1230
|
||
|
|
ddrem937 remainder 123e1 900000000 -> 1230
|
||
|
|
ddrem939 remainder 123e1 90000000 -> 1230
|
||
|
|
ddrem940 remainder 123e1 9000000 -> 1230
|
||
|
|
ddrem941 remainder 123e1 900000 -> 1230
|
||
|
|
ddrem942 remainder 123e1 90000 -> 1230
|
||
|
|
ddrem943 remainder 123e1 9000 -> 1230
|
||
|
|
ddrem944 remainder 123e1 900 -> 330
|
||
|
|
ddrem945 remainder 123e1 90 -> 60
|
||
|
|
ddrem946 remainder 123e1 9 -> 6
|
||
|
|
|
||
|
|
ddrem950 remainder 123e1 1000000000000000 -> 1230
|
||
|
|
ddrem961 remainder 123e1 2999999999999999 -> 1230
|
||
|
|
ddrem962 remainder 123e1 3999999999999999 -> 1230
|
||
|
|
ddrem963 remainder 123e1 4999999999999999 -> 1230
|
||
|
|
ddrem964 remainder 123e1 5999999999999999 -> 1230
|
||
|
|
ddrem965 remainder 123e1 6999999999999999 -> 1230
|
||
|
|
ddrem966 remainder 123e1 7999999999999999 -> 1230
|
||
|
|
ddrem967 remainder 123e1 8999999999999999 -> 1230
|
||
|
|
ddrem968 remainder 123e1 9999999999999999 -> 1230
|
||
|
|
ddrem969 remainder 123e1 9876543210987654 -> 1230
|
||
|
|
|
||
|
|
ddrem980 remainder 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally
|
||
|
|
|
||
|
|
-- overflow and underflow tests [from divide]
|
||
|
|
ddrem1051 remainder 1e+277 1e-311 -> NaN Division_impossible
|
||
|
|
ddrem1052 remainder 1e+277 -1e-311 -> NaN Division_impossible
|
||
|
|
ddrem1053 remainder -1e+277 1e-311 -> NaN Division_impossible
|
||
|
|
ddrem1054 remainder -1e+277 -1e-311 -> NaN Division_impossible
|
||
|
|
ddrem1055 remainder 1e-277 1e+311 -> 1E-277
|
||
|
|
ddrem1056 remainder 1e-277 -1e+311 -> 1E-277
|
||
|
|
ddrem1057 remainder -1e-277 1e+311 -> -1E-277
|
||
|
|
ddrem1058 remainder -1e-277 -1e+311 -> -1E-277
|
||
|
|
|
||
|
|
-- Null tests
|
||
|
|
ddrem1000 remainder 10 # -> NaN Invalid_operation
|
||
|
|
ddrem1001 remainder # 10 -> NaN Invalid_operation
|
||
|
|
|