2007-09-13 15:13:15 -03:00
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------------------------------------------------------------------------
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-- ddRemainderNear.decTest -- decDouble remainder-near --
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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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2007-11-23 14:14:50 -04:00
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version: 2.57
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2007-09-13 15:13:15 -03:00
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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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ddrmn001 remaindernear 1 1 -> 0
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ddrmn002 remaindernear 2 1 -> 0
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ddrmn003 remaindernear 1 2 -> 1
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ddrmn004 remaindernear 2 2 -> 0
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ddrmn005 remaindernear 0 1 -> 0
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ddrmn006 remaindernear 0 2 -> 0
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ddrmn007 remaindernear 1 3 -> 1
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ddrmn008 remaindernear 2 3 -> -1
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ddrmn009 remaindernear 3 3 -> 0
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ddrmn010 remaindernear 2.4 1 -> 0.4
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ddrmn011 remaindernear 2.4 -1 -> 0.4
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ddrmn012 remaindernear -2.4 1 -> -0.4
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ddrmn013 remaindernear -2.4 -1 -> -0.4
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ddrmn014 remaindernear 2.40 1 -> 0.40
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ddrmn015 remaindernear 2.400 1 -> 0.400
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ddrmn016 remaindernear 2.4 2 -> 0.4
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ddrmn017 remaindernear 2.400 2 -> 0.400
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ddrmn018 remaindernear 2. 2 -> 0
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ddrmn019 remaindernear 20 20 -> 0
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ddrmn020 remaindernear 187 187 -> 0
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ddrmn021 remaindernear 5 2 -> 1
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ddrmn022 remaindernear 5 2.0 -> 1.0
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ddrmn023 remaindernear 5 2.000 -> 1.000
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ddrmn024 remaindernear 5 0.200 -> 0.000
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ddrmn025 remaindernear 5 0.200 -> 0.000
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ddrmn030 remaindernear 1 2 -> 1
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ddrmn031 remaindernear 1 4 -> 1
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ddrmn032 remaindernear 1 8 -> 1
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ddrmn033 remaindernear 1 16 -> 1
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ddrmn034 remaindernear 1 32 -> 1
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ddrmn035 remaindernear 1 64 -> 1
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ddrmn040 remaindernear 1 -2 -> 1
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ddrmn041 remaindernear 1 -4 -> 1
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ddrmn042 remaindernear 1 -8 -> 1
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ddrmn043 remaindernear 1 -16 -> 1
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ddrmn044 remaindernear 1 -32 -> 1
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ddrmn045 remaindernear 1 -64 -> 1
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ddrmn050 remaindernear -1 2 -> -1
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ddrmn051 remaindernear -1 4 -> -1
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ddrmn052 remaindernear -1 8 -> -1
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ddrmn053 remaindernear -1 16 -> -1
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ddrmn054 remaindernear -1 32 -> -1
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ddrmn055 remaindernear -1 64 -> -1
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ddrmn060 remaindernear -1 -2 -> -1
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ddrmn061 remaindernear -1 -4 -> -1
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ddrmn062 remaindernear -1 -8 -> -1
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ddrmn063 remaindernear -1 -16 -> -1
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ddrmn064 remaindernear -1 -32 -> -1
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ddrmn065 remaindernear -1 -64 -> -1
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ddrmn066 remaindernear 9.9 1 -> -0.1
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ddrmn067 remaindernear 99.7 1 -> -0.3
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ddrmn068 remaindernear 999999999 1 -> 0
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ddrmn069 remaindernear 999999999.4 1 -> 0.4
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ddrmn070 remaindernear 999999999.5 1 -> -0.5
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ddrmn071 remaindernear 999999999.9 1 -> -0.1
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ddrmn072 remaindernear 999999999.999 1 -> -0.001
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ddrmn073 remaindernear 999999.999999 1 -> -0.000001
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ddrmn074 remaindernear 9 1 -> 0
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ddrmn075 remaindernear 9999999999999999 1 -> 0
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ddrmn076 remaindernear 9999999999999999 2 -> -1
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ddrmn077 remaindernear 9999999999999999 3 -> 0
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ddrmn078 remaindernear 9999999999999999 4 -> -1
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ddrmn080 remaindernear 0. 1 -> 0
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ddrmn081 remaindernear .0 1 -> 0.0
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ddrmn082 remaindernear 0.00 1 -> 0.00
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ddrmn083 remaindernear 0.00E+9 1 -> 0
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ddrmn084 remaindernear 0.00E+3 1 -> 0
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ddrmn085 remaindernear 0.00E+2 1 -> 0
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ddrmn086 remaindernear 0.00E+1 1 -> 0.0
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ddrmn087 remaindernear 0.00E+0 1 -> 0.00
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ddrmn088 remaindernear 0.00E-0 1 -> 0.00
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ddrmn089 remaindernear 0.00E-1 1 -> 0.000
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ddrmn090 remaindernear 0.00E-2 1 -> 0.0000
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ddrmn091 remaindernear 0.00E-3 1 -> 0.00000
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ddrmn092 remaindernear 0.00E-4 1 -> 0.000000
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ddrmn093 remaindernear 0.00E-5 1 -> 0E-7
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ddrmn094 remaindernear 0.00E-6 1 -> 0E-8
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ddrmn095 remaindernear 0.0000E-50 1 -> 0E-54
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-- Various flavours of remaindernear by 0
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ddrmn101 remaindernear 0 0 -> NaN Division_undefined
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ddrmn102 remaindernear 0 -0 -> NaN Division_undefined
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ddrmn103 remaindernear -0 0 -> NaN Division_undefined
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ddrmn104 remaindernear -0 -0 -> NaN Division_undefined
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ddrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined
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ddrmn106 remaindernear 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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ddrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation
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ddrmn108 remaindernear 0.01 0 -> NaN Invalid_operation
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ddrmn109 remaindernear 0.1 0 -> NaN Invalid_operation
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ddrmn110 remaindernear 1 0 -> NaN Invalid_operation
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ddrmn111 remaindernear 1 0.0 -> NaN Invalid_operation
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ddrmn112 remaindernear 10 0.0 -> NaN Invalid_operation
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ddrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation
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ddrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation
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ddrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation
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ddrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation
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ddrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation
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ddrmn120 remaindernear 1 -0 -> NaN Invalid_operation
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ddrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation
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ddrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation
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ddrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation
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ddrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation
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-- and zeros on left
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ddrmn130 remaindernear 0 1 -> 0
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ddrmn131 remaindernear 0 -1 -> 0
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ddrmn132 remaindernear 0.0 1 -> 0.0
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ddrmn133 remaindernear 0.0 -1 -> 0.0
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ddrmn134 remaindernear -0 1 -> -0
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ddrmn135 remaindernear -0 -1 -> -0
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ddrmn136 remaindernear -0.0 1 -> -0.0
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ddrmn137 remaindernear -0.0 -1 -> -0.0
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-- 0.5ers
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ddrmn143 remaindernear 0.5 2 -> 0.5
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ddrmn144 remaindernear 0.5 2.1 -> 0.5
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ddrmn145 remaindernear 0.5 2.01 -> 0.50
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ddrmn146 remaindernear 0.5 2.001 -> 0.500
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ddrmn147 remaindernear 0.50 2 -> 0.50
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ddrmn148 remaindernear 0.50 2.01 -> 0.50
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ddrmn149 remaindernear 0.50 2.001 -> 0.500
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-- steadies
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ddrmn150 remaindernear 1 1 -> 0
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ddrmn151 remaindernear 1 2 -> 1
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ddrmn152 remaindernear 1 3 -> 1
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ddrmn153 remaindernear 1 4 -> 1
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ddrmn154 remaindernear 1 5 -> 1
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ddrmn155 remaindernear 1 6 -> 1
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ddrmn156 remaindernear 1 7 -> 1
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ddrmn157 remaindernear 1 8 -> 1
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ddrmn158 remaindernear 1 9 -> 1
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ddrmn159 remaindernear 1 10 -> 1
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ddrmn160 remaindernear 1 1 -> 0
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ddrmn161 remaindernear 2 1 -> 0
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ddrmn162 remaindernear 3 1 -> 0
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ddrmn163 remaindernear 4 1 -> 0
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ddrmn164 remaindernear 5 1 -> 0
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ddrmn165 remaindernear 6 1 -> 0
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ddrmn166 remaindernear 7 1 -> 0
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ddrmn167 remaindernear 8 1 -> 0
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ddrmn168 remaindernear 9 1 -> 0
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ddrmn169 remaindernear 10 1 -> 0
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-- some differences from remainder
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ddrmn171 remaindernear 0.4 1.020 -> 0.400
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ddrmn172 remaindernear 0.50 1.020 -> 0.500
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ddrmn173 remaindernear 0.51 1.020 -> 0.510
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ddrmn174 remaindernear 0.52 1.020 -> -0.500
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ddrmn175 remaindernear 0.6 1.020 -> -0.420
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-- More flavours of remaindernear by 0
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ddrmn201 remaindernear 0 0 -> NaN Division_undefined
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ddrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined
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ddrmn203 remaindernear 0.000 0 -> NaN Division_undefined
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ddrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation
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ddrmn205 remaindernear 0.01 0 -> NaN Invalid_operation
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ddrmn206 remaindernear 0.1 0 -> NaN Invalid_operation
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ddrmn207 remaindernear 1 0 -> NaN Invalid_operation
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ddrmn208 remaindernear 1 0.0 -> NaN Invalid_operation
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ddrmn209 remaindernear 10 0.0 -> NaN Invalid_operation
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ddrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation
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ddrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation
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-- tests from the extended specification
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ddrmn221 remaindernear 2.1 3 -> -0.9
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ddrmn222 remaindernear 10 6 -> -2
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ddrmn223 remaindernear 10 3 -> 1
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ddrmn224 remaindernear -10 3 -> -1
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ddrmn225 remaindernear 10.2 1 -> 0.2
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ddrmn226 remaindernear 10 0.3 -> 0.1
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ddrmn227 remaindernear 3.6 1.3 -> -0.3
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-- some differences from remainder
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ddrmn231 remaindernear -0.4 1.020 -> -0.400
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ddrmn232 remaindernear -0.50 1.020 -> -0.500
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ddrmn233 remaindernear -0.51 1.020 -> -0.510
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ddrmn234 remaindernear -0.52 1.020 -> 0.500
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ddrmn235 remaindernear -0.6 1.020 -> 0.420
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-- high Xs
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ddrmn240 remaindernear 1E+2 1.00 -> 0.00
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-- ddrmn3xx are from DiagBigDecimal
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ddrmn301 remaindernear 1 3 -> 1
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ddrmn302 remaindernear 5 5 -> 0
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ddrmn303 remaindernear 13 10 -> 3
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ddrmn304 remaindernear 13 50 -> 13
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ddrmn305 remaindernear 13 100 -> 13
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ddrmn306 remaindernear 13 1000 -> 13
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ddrmn307 remaindernear .13 1 -> 0.13
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ddrmn308 remaindernear 0.133 1 -> 0.133
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ddrmn309 remaindernear 0.1033 1 -> 0.1033
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ddrmn310 remaindernear 1.033 1 -> 0.033
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ddrmn311 remaindernear 10.33 1 -> 0.33
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ddrmn312 remaindernear 10.33 10 -> 0.33
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ddrmn313 remaindernear 103.3 1 -> 0.3
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ddrmn314 remaindernear 133 10 -> 3
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ddrmn315 remaindernear 1033 10 -> 3
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ddrmn316 remaindernear 1033 50 -> -17
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ddrmn317 remaindernear 101.0 3 -> -1.0
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ddrmn318 remaindernear 102.0 3 -> 0.0
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ddrmn319 remaindernear 103.0 3 -> 1.0
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ddrmn320 remaindernear 2.40 1 -> 0.40
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ddrmn321 remaindernear 2.400 1 -> 0.400
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ddrmn322 remaindernear 2.4 1 -> 0.4
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ddrmn323 remaindernear 2.4 2 -> 0.4
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ddrmn324 remaindernear 2.400 2 -> 0.400
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ddrmn325 remaindernear 1 0.3 -> 0.1
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ddrmn326 remaindernear 1 0.30 -> 0.10
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ddrmn327 remaindernear 1 0.300 -> 0.100
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ddrmn328 remaindernear 1 0.3000 -> 0.1000
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ddrmn329 remaindernear 1.0 0.3 -> 0.1
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ddrmn330 remaindernear 1.00 0.3 -> 0.10
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ddrmn331 remaindernear 1.000 0.3 -> 0.100
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ddrmn332 remaindernear 1.0000 0.3 -> 0.1000
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ddrmn333 remaindernear 0.5 2 -> 0.5
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ddrmn334 remaindernear 0.5 2.1 -> 0.5
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ddrmn335 remaindernear 0.5 2.01 -> 0.50
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ddrmn336 remaindernear 0.5 2.001 -> 0.500
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ddrmn337 remaindernear 0.50 2 -> 0.50
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ddrmn338 remaindernear 0.50 2.01 -> 0.50
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ddrmn339 remaindernear 0.50 2.001 -> 0.500
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ddrmn340 remaindernear 0.5 0.5000001 -> -1E-7
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ddrmn341 remaindernear 0.5 0.50000001 -> -1E-8
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ddrmn342 remaindernear 0.5 0.500000001 -> -1E-9
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ddrmn343 remaindernear 0.5 0.5000000001 -> -1E-10
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ddrmn344 remaindernear 0.5 0.50000000001 -> -1E-11
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ddrmn345 remaindernear 0.5 0.4999999 -> 1E-7
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ddrmn346 remaindernear 0.5 0.49999999 -> 1E-8
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ddrmn347 remaindernear 0.5 0.499999999 -> 1E-9
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ddrmn348 remaindernear 0.5 0.4999999999 -> 1E-10
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ddrmn349 remaindernear 0.5 0.49999999999 -> 1E-11
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ddrmn350 remaindernear 0.5 0.499999999999 -> 1E-12
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ddrmn351 remaindernear 0.03 7 -> 0.03
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ddrmn352 remaindernear 5 2 -> 1
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ddrmn353 remaindernear 4.1 2 -> 0.1
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ddrmn354 remaindernear 4.01 2 -> 0.01
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ddrmn355 remaindernear 4.001 2 -> 0.001
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ddrmn356 remaindernear 4.0001 2 -> 0.0001
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ddrmn357 remaindernear 4.00001 2 -> 0.00001
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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
|
|
|
|
|
|
2007-11-23 14:14:50 -04:00
|
|
|
|
2007-09-13 15:13:15 -03:00
|
|
|
-- 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
|
|
|
|
|
|
2007-11-23 14:14:50 -04:00
|
|
|
-- 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
|
|
|
|
|
|
2007-09-13 15:13:15 -03:00
|
|
|
-- Null tests
|
|
|
|
|
ddrmn1000 remaindernear 10 # -> NaN Invalid_operation
|
|
|
|
|
ddrmn1001 remaindernear # 10 -> NaN Invalid_operation
|
|
|
|
|
|
