2007-09-13 15:13:15 -03:00
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------------------------------------------------------------------------
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-- dqRemainderNear.decTest -- decQuad remainder-near --
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2008-07-27 03:39:07 -03:00
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-- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
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2007-09-13 15:13:15 -03:00
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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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2009-10-08 13:28:39 -03:00
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version: 2.59
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2007-09-13 15:13:15 -03:00
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extended: 1
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clamp: 1
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precision: 34
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maxExponent: 6144
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minExponent: -6143
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rounding: half_even
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-- sanity checks (as base, above)
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dqrmn001 remaindernear 1 1 -> 0
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dqrmn002 remaindernear 2 1 -> 0
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dqrmn003 remaindernear 1 2 -> 1
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dqrmn004 remaindernear 2 2 -> 0
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dqrmn005 remaindernear 0 1 -> 0
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dqrmn006 remaindernear 0 2 -> 0
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dqrmn007 remaindernear 1 3 -> 1
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dqrmn008 remaindernear 2 3 -> -1
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dqrmn009 remaindernear 3 3 -> 0
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dqrmn010 remaindernear 2.4 1 -> 0.4
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dqrmn011 remaindernear 2.4 -1 -> 0.4
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dqrmn012 remaindernear -2.4 1 -> -0.4
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dqrmn013 remaindernear -2.4 -1 -> -0.4
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dqrmn014 remaindernear 2.40 1 -> 0.40
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dqrmn015 remaindernear 2.400 1 -> 0.400
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dqrmn016 remaindernear 2.4 2 -> 0.4
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dqrmn017 remaindernear 2.400 2 -> 0.400
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dqrmn018 remaindernear 2. 2 -> 0
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dqrmn019 remaindernear 20 20 -> 0
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dqrmn020 remaindernear 187 187 -> 0
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dqrmn021 remaindernear 5 2 -> 1
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dqrmn022 remaindernear 5 2.0 -> 1.0
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dqrmn023 remaindernear 5 2.000 -> 1.000
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dqrmn024 remaindernear 5 0.200 -> 0.000
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dqrmn025 remaindernear 5 0.200 -> 0.000
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dqrmn030 remaindernear 1 2 -> 1
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dqrmn031 remaindernear 1 4 -> 1
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dqrmn032 remaindernear 1 8 -> 1
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dqrmn033 remaindernear 1 16 -> 1
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dqrmn034 remaindernear 1 32 -> 1
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dqrmn035 remaindernear 1 64 -> 1
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dqrmn040 remaindernear 1 -2 -> 1
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dqrmn041 remaindernear 1 -4 -> 1
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dqrmn042 remaindernear 1 -8 -> 1
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dqrmn043 remaindernear 1 -16 -> 1
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dqrmn044 remaindernear 1 -32 -> 1
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dqrmn045 remaindernear 1 -64 -> 1
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dqrmn050 remaindernear -1 2 -> -1
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dqrmn051 remaindernear -1 4 -> -1
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dqrmn052 remaindernear -1 8 -> -1
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dqrmn053 remaindernear -1 16 -> -1
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dqrmn054 remaindernear -1 32 -> -1
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dqrmn055 remaindernear -1 64 -> -1
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dqrmn060 remaindernear -1 -2 -> -1
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dqrmn061 remaindernear -1 -4 -> -1
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dqrmn062 remaindernear -1 -8 -> -1
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dqrmn063 remaindernear -1 -16 -> -1
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dqrmn064 remaindernear -1 -32 -> -1
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dqrmn065 remaindernear -1 -64 -> -1
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dqrmn066 remaindernear 9.9 1 -> -0.1
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dqrmn067 remaindernear 99.7 1 -> -0.3
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dqrmn068 remaindernear 999999999 1 -> 0
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dqrmn069 remaindernear 999999999.4 1 -> 0.4
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dqrmn070 remaindernear 999999999.5 1 -> -0.5
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dqrmn071 remaindernear 999999999.9 1 -> -0.1
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dqrmn072 remaindernear 999999999.999 1 -> -0.001
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dqrmn073 remaindernear 999999.999999 1 -> -0.000001
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dqrmn074 remaindernear 9 1 -> 0
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dqrmn075 remaindernear 9999999999999999 1 -> 0
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dqrmn076 remaindernear 9999999999999999 2 -> -1
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dqrmn077 remaindernear 9999999999999999 3 -> 0
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dqrmn078 remaindernear 9999999999999999 4 -> -1
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dqrmn080 remaindernear 0. 1 -> 0
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dqrmn081 remaindernear .0 1 -> 0.0
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dqrmn082 remaindernear 0.00 1 -> 0.00
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dqrmn083 remaindernear 0.00E+9 1 -> 0
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dqrmn084 remaindernear 0.00E+3 1 -> 0
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dqrmn085 remaindernear 0.00E+2 1 -> 0
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dqrmn086 remaindernear 0.00E+1 1 -> 0.0
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dqrmn087 remaindernear 0.00E+0 1 -> 0.00
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dqrmn088 remaindernear 0.00E-0 1 -> 0.00
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dqrmn089 remaindernear 0.00E-1 1 -> 0.000
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dqrmn090 remaindernear 0.00E-2 1 -> 0.0000
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dqrmn091 remaindernear 0.00E-3 1 -> 0.00000
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dqrmn092 remaindernear 0.00E-4 1 -> 0.000000
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dqrmn093 remaindernear 0.00E-5 1 -> 0E-7
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dqrmn094 remaindernear 0.00E-6 1 -> 0E-8
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dqrmn095 remaindernear 0.0000E-50 1 -> 0E-54
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-- Various flavours of remaindernear by 0
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dqrmn101 remaindernear 0 0 -> NaN Division_undefined
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dqrmn102 remaindernear 0 -0 -> NaN Division_undefined
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dqrmn103 remaindernear -0 0 -> NaN Division_undefined
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dqrmn104 remaindernear -0 -0 -> NaN Division_undefined
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dqrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined
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dqrmn106 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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dqrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation
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dqrmn108 remaindernear 0.01 0 -> NaN Invalid_operation
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dqrmn109 remaindernear 0.1 0 -> NaN Invalid_operation
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dqrmn110 remaindernear 1 0 -> NaN Invalid_operation
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dqrmn111 remaindernear 1 0.0 -> NaN Invalid_operation
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dqrmn112 remaindernear 10 0.0 -> NaN Invalid_operation
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dqrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation
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dqrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation
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dqrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation
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dqrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation
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dqrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation
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dqrmn120 remaindernear 1 -0 -> NaN Invalid_operation
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dqrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation
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dqrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation
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dqrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation
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dqrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation
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-- and zeros on left
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dqrmn130 remaindernear 0 1 -> 0
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dqrmn131 remaindernear 0 -1 -> 0
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dqrmn132 remaindernear 0.0 1 -> 0.0
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dqrmn133 remaindernear 0.0 -1 -> 0.0
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dqrmn134 remaindernear -0 1 -> -0
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dqrmn135 remaindernear -0 -1 -> -0
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dqrmn136 remaindernear -0.0 1 -> -0.0
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dqrmn137 remaindernear -0.0 -1 -> -0.0
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-- 0.5ers
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dqrmn143 remaindernear 0.5 2 -> 0.5
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dqrmn144 remaindernear 0.5 2.1 -> 0.5
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dqrmn145 remaindernear 0.5 2.01 -> 0.50
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dqrmn146 remaindernear 0.5 2.001 -> 0.500
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dqrmn147 remaindernear 0.50 2 -> 0.50
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dqrmn148 remaindernear 0.50 2.01 -> 0.50
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dqrmn149 remaindernear 0.50 2.001 -> 0.500
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-- steadies
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dqrmn150 remaindernear 1 1 -> 0
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dqrmn151 remaindernear 1 2 -> 1
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dqrmn152 remaindernear 1 3 -> 1
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dqrmn153 remaindernear 1 4 -> 1
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dqrmn154 remaindernear 1 5 -> 1
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dqrmn155 remaindernear 1 6 -> 1
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dqrmn156 remaindernear 1 7 -> 1
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dqrmn157 remaindernear 1 8 -> 1
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dqrmn158 remaindernear 1 9 -> 1
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dqrmn159 remaindernear 1 10 -> 1
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dqrmn160 remaindernear 1 1 -> 0
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dqrmn161 remaindernear 2 1 -> 0
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dqrmn162 remaindernear 3 1 -> 0
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dqrmn163 remaindernear 4 1 -> 0
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dqrmn164 remaindernear 5 1 -> 0
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dqrmn165 remaindernear 6 1 -> 0
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dqrmn166 remaindernear 7 1 -> 0
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dqrmn167 remaindernear 8 1 -> 0
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dqrmn168 remaindernear 9 1 -> 0
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dqrmn169 remaindernear 10 1 -> 0
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-- some differences from remainder
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dqrmn171 remaindernear 0.4 1.020 -> 0.400
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dqrmn172 remaindernear 0.50 1.020 -> 0.500
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dqrmn173 remaindernear 0.51 1.020 -> 0.510
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dqrmn174 remaindernear 0.52 1.020 -> -0.500
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dqrmn175 remaindernear 0.6 1.020 -> -0.420
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-- More flavours of remaindernear by 0
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dqrmn201 remaindernear 0 0 -> NaN Division_undefined
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dqrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined
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dqrmn203 remaindernear 0.000 0 -> NaN Division_undefined
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dqrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation
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dqrmn205 remaindernear 0.01 0 -> NaN Invalid_operation
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dqrmn206 remaindernear 0.1 0 -> NaN Invalid_operation
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dqrmn207 remaindernear 1 0 -> NaN Invalid_operation
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dqrmn208 remaindernear 1 0.0 -> NaN Invalid_operation
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dqrmn209 remaindernear 10 0.0 -> NaN Invalid_operation
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dqrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation
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dqrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation
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-- tests from the extended specification
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dqrmn221 remaindernear 2.1 3 -> -0.9
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dqrmn222 remaindernear 10 6 -> -2
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dqrmn223 remaindernear 10 3 -> 1
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dqrmn224 remaindernear -10 3 -> -1
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dqrmn225 remaindernear 10.2 1 -> 0.2
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dqrmn226 remaindernear 10 0.3 -> 0.1
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dqrmn227 remaindernear 3.6 1.3 -> -0.3
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-- some differences from remainder
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dqrmn231 remaindernear -0.4 1.020 -> -0.400
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dqrmn232 remaindernear -0.50 1.020 -> -0.500
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dqrmn233 remaindernear -0.51 1.020 -> -0.510
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dqrmn234 remaindernear -0.52 1.020 -> 0.500
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dqrmn235 remaindernear -0.6 1.020 -> 0.420
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-- high Xs
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dqrmn240 remaindernear 1E+2 1.00 -> 0.00
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-- dqrmn3xx are from DiagBigDecimal
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dqrmn301 remaindernear 1 3 -> 1
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dqrmn302 remaindernear 5 5 -> 0
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dqrmn303 remaindernear 13 10 -> 3
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dqrmn304 remaindernear 13 50 -> 13
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dqrmn305 remaindernear 13 100 -> 13
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dqrmn306 remaindernear 13 1000 -> 13
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dqrmn307 remaindernear .13 1 -> 0.13
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dqrmn308 remaindernear 0.133 1 -> 0.133
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dqrmn309 remaindernear 0.1033 1 -> 0.1033
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dqrmn310 remaindernear 1.033 1 -> 0.033
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dqrmn311 remaindernear 10.33 1 -> 0.33
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dqrmn312 remaindernear 10.33 10 -> 0.33
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dqrmn313 remaindernear 103.3 1 -> 0.3
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dqrmn314 remaindernear 133 10 -> 3
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dqrmn315 remaindernear 1033 10 -> 3
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dqrmn316 remaindernear 1033 50 -> -17
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dqrmn317 remaindernear 101.0 3 -> -1.0
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dqrmn318 remaindernear 102.0 3 -> 0.0
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dqrmn319 remaindernear 103.0 3 -> 1.0
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dqrmn320 remaindernear 2.40 1 -> 0.40
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dqrmn321 remaindernear 2.400 1 -> 0.400
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dqrmn322 remaindernear 2.4 1 -> 0.4
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dqrmn323 remaindernear 2.4 2 -> 0.4
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dqrmn324 remaindernear 2.400 2 -> 0.400
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dqrmn325 remaindernear 1 0.3 -> 0.1
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dqrmn326 remaindernear 1 0.30 -> 0.10
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dqrmn327 remaindernear 1 0.300 -> 0.100
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dqrmn328 remaindernear 1 0.3000 -> 0.1000
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dqrmn329 remaindernear 1.0 0.3 -> 0.1
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dqrmn330 remaindernear 1.00 0.3 -> 0.10
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dqrmn331 remaindernear 1.000 0.3 -> 0.100
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dqrmn332 remaindernear 1.0000 0.3 -> 0.1000
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dqrmn333 remaindernear 0.5 2 -> 0.5
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dqrmn334 remaindernear 0.5 2.1 -> 0.5
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dqrmn335 remaindernear 0.5 2.01 -> 0.50
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dqrmn336 remaindernear 0.5 2.001 -> 0.500
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dqrmn337 remaindernear 0.50 2 -> 0.50
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dqrmn338 remaindernear 0.50 2.01 -> 0.50
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dqrmn339 remaindernear 0.50 2.001 -> 0.500
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dqrmn340 remaindernear 0.5 0.5000001 -> -1E-7
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dqrmn341 remaindernear 0.5 0.50000001 -> -1E-8
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dqrmn342 remaindernear 0.5 0.500000001 -> -1E-9
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dqrmn343 remaindernear 0.5 0.5000000001 -> -1E-10
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dqrmn344 remaindernear 0.5 0.50000000001 -> -1E-11
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dqrmn345 remaindernear 0.5 0.4999999 -> 1E-7
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dqrmn346 remaindernear 0.5 0.49999999 -> 1E-8
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dqrmn347 remaindernear 0.5 0.499999999 -> 1E-9
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dqrmn348 remaindernear 0.5 0.4999999999 -> 1E-10
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dqrmn349 remaindernear 0.5 0.49999999999 -> 1E-11
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dqrmn350 remaindernear 0.5 0.499999999999 -> 1E-12
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dqrmn351 remaindernear 0.03 7 -> 0.03
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dqrmn352 remaindernear 5 2 -> 1
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dqrmn353 remaindernear 4.1 2 -> 0.1
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dqrmn354 remaindernear 4.01 2 -> 0.01
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dqrmn355 remaindernear 4.001 2 -> 0.001
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dqrmn356 remaindernear 4.0001 2 -> 0.0001
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dqrmn357 remaindernear 4.00001 2 -> 0.00001
|
|
|
|
|
dqrmn358 remaindernear 4.000001 2 -> 0.000001
|
|
|
|
|
dqrmn359 remaindernear 4.0000001 2 -> 1E-7
|
|
|
|
|
|
|
|
|
|
dqrmn360 remaindernear 1.2 0.7345 -> -0.2690
|
|
|
|
|
dqrmn361 remaindernear 0.8 12 -> 0.8
|
|
|
|
|
dqrmn362 remaindernear 0.8 0.2 -> 0.0
|
|
|
|
|
dqrmn363 remaindernear 0.8 0.3 -> -0.1
|
|
|
|
|
dqrmn364 remaindernear 0.800 12 -> 0.800
|
|
|
|
|
dqrmn365 remaindernear 0.800 1.7 -> 0.800
|
|
|
|
|
dqrmn366 remaindernear 2.400 2 -> 0.400
|
|
|
|
|
|
|
|
|
|
-- round to even
|
|
|
|
|
dqrmn371 remaindernear 121 2 -> 1
|
|
|
|
|
dqrmn372 remaindernear 122 2 -> 0
|
|
|
|
|
dqrmn373 remaindernear 123 2 -> -1
|
|
|
|
|
dqrmn374 remaindernear 124 2 -> 0
|
|
|
|
|
dqrmn375 remaindernear 125 2 -> 1
|
|
|
|
|
dqrmn376 remaindernear 126 2 -> 0
|
|
|
|
|
dqrmn377 remaindernear 127 2 -> -1
|
|
|
|
|
|
|
|
|
|
dqrmn381 remaindernear 12345 1 -> 0
|
|
|
|
|
dqrmn382 remaindernear 12345 1.0001 -> -0.2344
|
|
|
|
|
dqrmn383 remaindernear 12345 1.001 -> -0.333
|
|
|
|
|
dqrmn384 remaindernear 12345 1.01 -> -0.23
|
|
|
|
|
dqrmn385 remaindernear 12345 1.1 -> -0.3
|
|
|
|
|
dqrmn386 remaindernear 12355 4 -> -1
|
|
|
|
|
dqrmn387 remaindernear 12345 4 -> 1
|
|
|
|
|
dqrmn388 remaindernear 12355 4.0001 -> -1.3089
|
|
|
|
|
dqrmn389 remaindernear 12345 4.0001 -> 0.6914
|
|
|
|
|
dqrmn390 remaindernear 12345 4.9 -> 1.9
|
|
|
|
|
dqrmn391 remaindernear 12345 4.99 -> -0.26
|
|
|
|
|
dqrmn392 remaindernear 12345 4.999 -> 2.469
|
|
|
|
|
dqrmn393 remaindernear 12345 4.9999 -> 0.2469
|
|
|
|
|
dqrmn394 remaindernear 12345 5 -> 0
|
|
|
|
|
dqrmn395 remaindernear 12345 5.0001 -> -0.2469
|
|
|
|
|
dqrmn396 remaindernear 12345 5.001 -> -2.469
|
|
|
|
|
dqrmn397 remaindernear 12345 5.01 -> 0.36
|
|
|
|
|
dqrmn398 remaindernear 12345 5.1 -> -2.1
|
|
|
|
|
|
|
|
|
|
-- the nasty division-by-1 cases
|
|
|
|
|
dqrmn401 remaindernear 0.4 1 -> 0.4
|
|
|
|
|
dqrmn402 remaindernear 0.45 1 -> 0.45
|
|
|
|
|
dqrmn403 remaindernear 0.455 1 -> 0.455
|
|
|
|
|
dqrmn404 remaindernear 0.4555 1 -> 0.4555
|
|
|
|
|
dqrmn405 remaindernear 0.45555 1 -> 0.45555
|
|
|
|
|
dqrmn406 remaindernear 0.455555 1 -> 0.455555
|
|
|
|
|
dqrmn407 remaindernear 0.4555555 1 -> 0.4555555
|
|
|
|
|
dqrmn408 remaindernear 0.45555555 1 -> 0.45555555
|
|
|
|
|
dqrmn409 remaindernear 0.455555555 1 -> 0.455555555
|
|
|
|
|
-- with spill... [412 exercises sticktab loop]
|
|
|
|
|
dqrmn411 remaindernear 0.5 1 -> 0.5
|
|
|
|
|
dqrmn412 remaindernear 0.55 1 -> -0.45
|
|
|
|
|
dqrmn413 remaindernear 0.555 1 -> -0.445
|
|
|
|
|
dqrmn414 remaindernear 0.5555 1 -> -0.4445
|
|
|
|
|
dqrmn415 remaindernear 0.55555 1 -> -0.44445
|
|
|
|
|
dqrmn416 remaindernear 0.555555 1 -> -0.444445
|
|
|
|
|
dqrmn417 remaindernear 0.5555555 1 -> -0.4444445
|
|
|
|
|
dqrmn418 remaindernear 0.55555555 1 -> -0.44444445
|
|
|
|
|
dqrmn419 remaindernear 0.555555555 1 -> -0.444444445
|
|
|
|
|
|
|
|
|
|
-- folddowns
|
|
|
|
|
dqrmn421 remaindernear 1E+6144 1 -> NaN Division_impossible
|
|
|
|
|
dqrmn422 remaindernear 1E+6144 1E+6143 -> 0E+6111 Clamped
|
|
|
|
|
dqrmn423 remaindernear 1E+6144 2E+6143 -> 0E+6111 Clamped
|
|
|
|
|
dqrmn424 remaindernear 1E+6144 3E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped
|
|
|
|
|
dqrmn425 remaindernear 1E+6144 4E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped
|
|
|
|
|
dqrmn426 remaindernear 1E+6144 5E+6143 -> 0E+6111 Clamped
|
|
|
|
|
dqrmn427 remaindernear 1E+6144 6E+6143 -> -2.00000000000000000000000000000000E+6143 Clamped
|
|
|
|
|
dqrmn428 remaindernear 1E+6144 7E+6143 -> 3.00000000000000000000000000000000E+6143 Clamped
|
|
|
|
|
dqrmn429 remaindernear 1E+6144 8E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped
|
|
|
|
|
dqrmn430 remaindernear 1E+6144 9E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped
|
|
|
|
|
-- tinies
|
|
|
|
|
dqrmn431 remaindernear 1E-6175 1E-6176 -> 0E-6176
|
|
|
|
|
dqrmn432 remaindernear 1E-6175 2E-6176 -> 0E-6176
|
|
|
|
|
dqrmn433 remaindernear 1E-6175 3E-6176 -> 1E-6176 Subnormal
|
|
|
|
|
dqrmn434 remaindernear 1E-6175 4E-6176 -> 2E-6176 Subnormal
|
|
|
|
|
dqrmn435 remaindernear 1E-6175 5E-6176 -> 0E-6176
|
|
|
|
|
dqrmn436 remaindernear 1E-6175 6E-6176 -> -2E-6176 Subnormal
|
|
|
|
|
dqrmn437 remaindernear 1E-6175 7E-6176 -> 3E-6176 Subnormal
|
|
|
|
|
dqrmn438 remaindernear 1E-6175 8E-6176 -> 2E-6176 Subnormal
|
|
|
|
|
dqrmn439 remaindernear 1E-6175 9E-6176 -> 1E-6176 Subnormal
|
|
|
|
|
dqrmn440 remaindernear 1E-6175 10E-6176 -> 0E-6176
|
|
|
|
|
dqrmn441 remaindernear 1E-6175 11E-6176 -> -1E-6176 Subnormal
|
|
|
|
|
dqrmn442 remaindernear 100E-6175 11E-6176 -> -1E-6176 Subnormal
|
|
|
|
|
dqrmn443 remaindernear 100E-6175 20E-6176 -> 0E-6176
|
|
|
|
|
dqrmn444 remaindernear 100E-6175 21E-6176 -> -8E-6176 Subnormal
|
|
|
|
|
dqrmn445 remaindernear 100E-6175 30E-6176 -> 1.0E-6175 Subnormal
|
|
|
|
|
|
|
|
|
|
-- zero signs
|
|
|
|
|
dqrmn650 remaindernear 1 1 -> 0
|
|
|
|
|
dqrmn651 remaindernear -1 1 -> -0
|
|
|
|
|
dqrmn652 remaindernear 1 -1 -> 0
|
|
|
|
|
dqrmn653 remaindernear -1 -1 -> -0
|
|
|
|
|
dqrmn654 remaindernear 0 1 -> 0
|
|
|
|
|
dqrmn655 remaindernear -0 1 -> -0
|
|
|
|
|
dqrmn656 remaindernear 0 -1 -> 0
|
|
|
|
|
dqrmn657 remaindernear -0 -1 -> -0
|
|
|
|
|
dqrmn658 remaindernear 0.00 1 -> 0.00
|
|
|
|
|
dqrmn659 remaindernear -0.00 1 -> -0.00
|
|
|
|
|
|
|
|
|
|
-- Specials
|
|
|
|
|
dqrmn680 remaindernear Inf -Inf -> NaN Invalid_operation
|
|
|
|
|
dqrmn681 remaindernear Inf -1000 -> NaN Invalid_operation
|
|
|
|
|
dqrmn682 remaindernear Inf -1 -> NaN Invalid_operation
|
|
|
|
|
dqrmn683 remaindernear Inf 0 -> NaN Invalid_operation
|
|
|
|
|
dqrmn684 remaindernear Inf -0 -> NaN Invalid_operation
|
|
|
|
|
dqrmn685 remaindernear Inf 1 -> NaN Invalid_operation
|
|
|
|
|
dqrmn686 remaindernear Inf 1000 -> NaN Invalid_operation
|
|
|
|
|
dqrmn687 remaindernear Inf Inf -> NaN Invalid_operation
|
|
|
|
|
dqrmn688 remaindernear -1000 Inf -> -1000
|
|
|
|
|
dqrmn689 remaindernear -Inf Inf -> NaN Invalid_operation
|
|
|
|
|
dqrmn691 remaindernear -1 Inf -> -1
|
|
|
|
|
dqrmn692 remaindernear 0 Inf -> 0
|
|
|
|
|
dqrmn693 remaindernear -0 Inf -> -0
|
|
|
|
|
dqrmn694 remaindernear 1 Inf -> 1
|
|
|
|
|
dqrmn695 remaindernear 1000 Inf -> 1000
|
|
|
|
|
dqrmn696 remaindernear Inf Inf -> NaN Invalid_operation
|
|
|
|
|
|
|
|
|
|
dqrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation
|
|
|
|
|
dqrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation
|
|
|
|
|
dqrmn702 remaindernear -Inf -1 -> NaN Invalid_operation
|
|
|
|
|
dqrmn703 remaindernear -Inf -0 -> NaN Invalid_operation
|
|
|
|
|
dqrmn704 remaindernear -Inf 0 -> NaN Invalid_operation
|
|
|
|
|
dqrmn705 remaindernear -Inf 1 -> NaN Invalid_operation
|
|
|
|
|
dqrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation
|
|
|
|
|
dqrmn707 remaindernear -Inf Inf -> NaN Invalid_operation
|
|
|
|
|
dqrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation
|
|
|
|
|
dqrmn709 remaindernear -1000 Inf -> -1000
|
|
|
|
|
dqrmn710 remaindernear -1 -Inf -> -1
|
|
|
|
|
dqrmn711 remaindernear -0 -Inf -> -0
|
|
|
|
|
dqrmn712 remaindernear 0 -Inf -> 0
|
|
|
|
|
dqrmn713 remaindernear 1 -Inf -> 1
|
|
|
|
|
dqrmn714 remaindernear 1000 -Inf -> 1000
|
|
|
|
|
dqrmn715 remaindernear Inf -Inf -> NaN Invalid_operation
|
|
|
|
|
|
|
|
|
|
dqrmn721 remaindernear NaN -Inf -> NaN
|
|
|
|
|
dqrmn722 remaindernear NaN -1000 -> NaN
|
|
|
|
|
dqrmn723 remaindernear NaN -1 -> NaN
|
|
|
|
|
dqrmn724 remaindernear NaN -0 -> NaN
|
|
|
|
|
dqrmn725 remaindernear -NaN 0 -> -NaN
|
|
|
|
|
dqrmn726 remaindernear NaN 1 -> NaN
|
|
|
|
|
dqrmn727 remaindernear NaN 1000 -> NaN
|
|
|
|
|
dqrmn728 remaindernear NaN Inf -> NaN
|
|
|
|
|
dqrmn729 remaindernear NaN -NaN -> NaN
|
|
|
|
|
dqrmn730 remaindernear -Inf NaN -> NaN
|
|
|
|
|
dqrmn731 remaindernear -1000 NaN -> NaN
|
|
|
|
|
dqrmn732 remaindernear -1 NaN -> NaN
|
|
|
|
|
dqrmn733 remaindernear -0 -NaN -> -NaN
|
|
|
|
|
dqrmn734 remaindernear 0 NaN -> NaN
|
|
|
|
|
dqrmn735 remaindernear 1 -NaN -> -NaN
|
|
|
|
|
dqrmn736 remaindernear 1000 NaN -> NaN
|
|
|
|
|
dqrmn737 remaindernear Inf NaN -> NaN
|
|
|
|
|
|
|
|
|
|
dqrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation
|
|
|
|
|
dqrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation
|
|
|
|
|
dqrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation
|
|
|
|
|
dqrmn744 remaindernear sNaN -0 -> NaN Invalid_operation
|
|
|
|
|
dqrmn745 remaindernear sNaN 0 -> NaN Invalid_operation
|
|
|
|
|
dqrmn746 remaindernear sNaN 1 -> NaN Invalid_operation
|
|
|
|
|
dqrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation
|
|
|
|
|
dqrmn749 remaindernear sNaN NaN -> NaN Invalid_operation
|
|
|
|
|
dqrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation
|
|
|
|
|
dqrmn751 remaindernear NaN sNaN -> NaN Invalid_operation
|
|
|
|
|
dqrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation
|
|
|
|
|
dqrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation
|
|
|
|
|
dqrmn754 remaindernear -1 sNaN -> NaN Invalid_operation
|
|
|
|
|
dqrmn755 remaindernear -0 sNaN -> NaN Invalid_operation
|
|
|
|
|
dqrmn756 remaindernear 0 sNaN -> NaN Invalid_operation
|
|
|
|
|
dqrmn757 remaindernear 1 sNaN -> NaN Invalid_operation
|
|
|
|
|
dqrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation
|
|
|
|
|
dqrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation
|
|
|
|
|
|
|
|
|
|
-- propaging NaNs
|
|
|
|
|
dqrmn760 remaindernear NaN1 NaN7 -> NaN1
|
|
|
|
|
dqrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation
|
|
|
|
|
dqrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation
|
|
|
|
|
dqrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation
|
|
|
|
|
dqrmn764 remaindernear 15 NaN11 -> NaN11
|
|
|
|
|
dqrmn765 remaindernear NaN6 NaN12 -> NaN6
|
|
|
|
|
dqrmn766 remaindernear Inf NaN13 -> NaN13
|
|
|
|
|
dqrmn767 remaindernear NaN14 -Inf -> NaN14
|
|
|
|
|
dqrmn768 remaindernear 0 NaN15 -> NaN15
|
|
|
|
|
dqrmn769 remaindernear NaN16 -0 -> NaN16
|
|
|
|
|
|
|
|
|
|
-- edge cases of impossible
|
|
|
|
|
dqrmn770 remaindernear 1234500000000000000000067890123456 10 -> -4
|
|
|
|
|
dqrmn771 remaindernear 1234500000000000000000067890123456 1 -> 0
|
|
|
|
|
dqrmn772 remaindernear 1234500000000000000000067890123456 0.1 -> NaN Division_impossible
|
|
|
|
|
dqrmn773 remaindernear 1234500000000000000000067890123456 0.01 -> NaN Division_impossible
|
|
|
|
|
|
|
|
|
|
-- long operand checks
|
|
|
|
|
dqrmn801 remaindernear 12345678000 100 -> 0
|
|
|
|
|
dqrmn802 remaindernear 1 12345678000 -> 1
|
|
|
|
|
dqrmn803 remaindernear 1234567800 10 -> 0
|
|
|
|
|
dqrmn804 remaindernear 1 1234567800 -> 1
|
|
|
|
|
dqrmn805 remaindernear 1234567890 10 -> 0
|
|
|
|
|
dqrmn806 remaindernear 1 1234567890 -> 1
|
|
|
|
|
dqrmn807 remaindernear 1234567891 10 -> 1
|
|
|
|
|
dqrmn808 remaindernear 1 1234567891 -> 1
|
|
|
|
|
dqrmn809 remaindernear 12345678901 100 -> 1
|
|
|
|
|
dqrmn810 remaindernear 1 12345678901 -> 1
|
|
|
|
|
dqrmn811 remaindernear 1234567896 10 -> -4
|
|
|
|
|
dqrmn812 remaindernear 1 1234567896 -> 1
|
|
|
|
|
|
|
|
|
|
dqrmn821 remaindernear 12345678000 100 -> 0
|
|
|
|
|
dqrmn822 remaindernear 1 12345678000 -> 1
|
|
|
|
|
dqrmn823 remaindernear 1234567800 10 -> 0
|
|
|
|
|
dqrmn824 remaindernear 1 1234567800 -> 1
|
|
|
|
|
dqrmn825 remaindernear 1234567890 10 -> 0
|
|
|
|
|
dqrmn826 remaindernear 1 1234567890 -> 1
|
|
|
|
|
dqrmn827 remaindernear 1234567891 10 -> 1
|
|
|
|
|
dqrmn828 remaindernear 1 1234567891 -> 1
|
|
|
|
|
dqrmn829 remaindernear 12345678901 100 -> 1
|
|
|
|
|
dqrmn830 remaindernear 1 12345678901 -> 1
|
|
|
|
|
dqrmn831 remaindernear 1234567896 10 -> -4
|
|
|
|
|
dqrmn832 remaindernear 1 1234567896 -> 1
|
|
|
|
|
|
|
|
|
|
-- from divideint
|
|
|
|
|
dqrmn840 remaindernear 100000000.0 1 -> 0.0
|
|
|
|
|
dqrmn841 remaindernear 100000000.4 1 -> 0.4
|
|
|
|
|
dqrmn842 remaindernear 100000000.5 1 -> 0.5
|
|
|
|
|
dqrmn843 remaindernear 100000000.9 1 -> -0.1
|
|
|
|
|
dqrmn844 remaindernear 100000000.999 1 -> -0.001
|
|
|
|
|
dqrmn850 remaindernear 100000003 5 -> -2
|
|
|
|
|
dqrmn851 remaindernear 10000003 5 -> -2
|
|
|
|
|
dqrmn852 remaindernear 1000003 5 -> -2
|
|
|
|
|
dqrmn853 remaindernear 100003 5 -> -2
|
|
|
|
|
dqrmn854 remaindernear 10003 5 -> -2
|
|
|
|
|
dqrmn855 remaindernear 1003 5 -> -2
|
|
|
|
|
dqrmn856 remaindernear 103 5 -> -2
|
|
|
|
|
dqrmn857 remaindernear 13 5 -> -2
|
|
|
|
|
dqrmn858 remaindernear 1 5 -> 1
|
|
|
|
|
|
|
|
|
|
-- Vladimir's cases 1234567890123456
|
|
|
|
|
dqrmn860 remaindernear 123.0e1 1000000000000000 -> 1230
|
|
|
|
|
dqrmn861 remaindernear 1230 1000000000000000 -> 1230
|
|
|
|
|
dqrmn862 remaindernear 12.3e2 1000000000000000 -> 1230
|
|
|
|
|
dqrmn863 remaindernear 1.23e3 1000000000000000 -> 1230
|
|
|
|
|
dqrmn864 remaindernear 123e1 1000000000000000 -> 1230
|
|
|
|
|
dqrmn870 remaindernear 123e1 1000000000000000 -> 1230
|
|
|
|
|
dqrmn871 remaindernear 123e1 100000000000000 -> 1230
|
|
|
|
|
dqrmn872 remaindernear 123e1 10000000000000 -> 1230
|
|
|
|
|
dqrmn873 remaindernear 123e1 1000000000000 -> 1230
|
|
|
|
|
dqrmn874 remaindernear 123e1 100000000000 -> 1230
|
|
|
|
|
dqrmn875 remaindernear 123e1 10000000000 -> 1230
|
|
|
|
|
dqrmn876 remaindernear 123e1 1000000000 -> 1230
|
|
|
|
|
dqrmn877 remaindernear 123e1 100000000 -> 1230
|
|
|
|
|
dqrmn878 remaindernear 1230 100000000 -> 1230
|
|
|
|
|
dqrmn879 remaindernear 123e1 10000000 -> 1230
|
|
|
|
|
dqrmn880 remaindernear 123e1 1000000 -> 1230
|
|
|
|
|
dqrmn881 remaindernear 123e1 100000 -> 1230
|
|
|
|
|
dqrmn882 remaindernear 123e1 10000 -> 1230
|
|
|
|
|
dqrmn883 remaindernear 123e1 1000 -> 230
|
|
|
|
|
dqrmn884 remaindernear 123e1 100 -> 30
|
|
|
|
|
dqrmn885 remaindernear 123e1 10 -> 0
|
|
|
|
|
dqrmn886 remaindernear 123e1 1 -> 0
|
|
|
|
|
|
|
|
|
|
dqrmn890 remaindernear 123e1 2000000000000000 -> 1230
|
|
|
|
|
dqrmn891 remaindernear 123e1 200000000000000 -> 1230
|
|
|
|
|
dqrmn892 remaindernear 123e1 20000000000000 -> 1230
|
|
|
|
|
dqrmn893 remaindernear 123e1 2000000000000 -> 1230
|
|
|
|
|
dqrmn894 remaindernear 123e1 200000000000 -> 1230
|
|
|
|
|
dqrmn895 remaindernear 123e1 20000000000 -> 1230
|
|
|
|
|
dqrmn896 remaindernear 123e1 2000000000 -> 1230
|
|
|
|
|
dqrmn897 remaindernear 123e1 200000000 -> 1230
|
|
|
|
|
dqrmn899 remaindernear 123e1 20000000 -> 1230
|
|
|
|
|
dqrmn900 remaindernear 123e1 2000000 -> 1230
|
|
|
|
|
dqrmn901 remaindernear 123e1 200000 -> 1230
|
|
|
|
|
dqrmn902 remaindernear 123e1 20000 -> 1230
|
|
|
|
|
dqrmn903 remaindernear 123e1 2000 -> -770
|
|
|
|
|
dqrmn904 remaindernear 123e1 200 -> 30
|
|
|
|
|
dqrmn905 remaindernear 123e1 20 -> -10
|
|
|
|
|
dqrmn906 remaindernear 123e1 2 -> 0
|
|
|
|
|
|
|
|
|
|
dqrmn910 remaindernear 123e1 5000000000000000 -> 1230
|
|
|
|
|
dqrmn911 remaindernear 123e1 500000000000000 -> 1230
|
|
|
|
|
dqrmn912 remaindernear 123e1 50000000000000 -> 1230
|
|
|
|
|
dqrmn913 remaindernear 123e1 5000000000000 -> 1230
|
|
|
|
|
dqrmn914 remaindernear 123e1 500000000000 -> 1230
|
|
|
|
|
dqrmn915 remaindernear 123e1 50000000000 -> 1230
|
|
|
|
|
dqrmn916 remaindernear 123e1 5000000000 -> 1230
|
|
|
|
|
dqrmn917 remaindernear 123e1 500000000 -> 1230
|
|
|
|
|
dqrmn919 remaindernear 123e1 50000000 -> 1230
|
|
|
|
|
dqrmn920 remaindernear 123e1 5000000 -> 1230
|
|
|
|
|
dqrmn921 remaindernear 123e1 500000 -> 1230
|
|
|
|
|
dqrmn922 remaindernear 123e1 50000 -> 1230
|
|
|
|
|
dqrmn923 remaindernear 123e1 5000 -> 1230
|
|
|
|
|
dqrmn924 remaindernear 123e1 500 -> 230
|
|
|
|
|
dqrmn925 remaindernear 123e1 50 -> -20
|
|
|
|
|
dqrmn926 remaindernear 123e1 5 -> 0
|
|
|
|
|
|
|
|
|
|
dqrmn930 remaindernear 123e1 9000000000000000 -> 1230
|
|
|
|
|
dqrmn931 remaindernear 123e1 900000000000000 -> 1230
|
|
|
|
|
dqrmn932 remaindernear 123e1 90000000000000 -> 1230
|
|
|
|
|
dqrmn933 remaindernear 123e1 9000000000000 -> 1230
|
|
|
|
|
dqrmn934 remaindernear 123e1 900000000000 -> 1230
|
|
|
|
|
dqrmn935 remaindernear 123e1 90000000000 -> 1230
|
|
|
|
|
dqrmn936 remaindernear 123e1 9000000000 -> 1230
|
|
|
|
|
dqrmn937 remaindernear 123e1 900000000 -> 1230
|
|
|
|
|
dqrmn939 remaindernear 123e1 90000000 -> 1230
|
|
|
|
|
dqrmn940 remaindernear 123e1 9000000 -> 1230
|
|
|
|
|
dqrmn941 remaindernear 123e1 900000 -> 1230
|
|
|
|
|
dqrmn942 remaindernear 123e1 90000 -> 1230
|
|
|
|
|
dqrmn943 remaindernear 123e1 9000 -> 1230
|
|
|
|
|
dqrmn944 remaindernear 123e1 900 -> 330
|
|
|
|
|
dqrmn945 remaindernear 123e1 90 -> -30
|
|
|
|
|
dqrmn946 remaindernear 123e1 9 -> -3
|
|
|
|
|
|
|
|
|
|
dqrmn950 remaindernear 123e1 1000000000000000 -> 1230
|
|
|
|
|
dqrmn961 remaindernear 123e1 2999999999999999 -> 1230
|
|
|
|
|
dqrmn962 remaindernear 123e1 3999999999999999 -> 1230
|
|
|
|
|
dqrmn963 remaindernear 123e1 4999999999999999 -> 1230
|
|
|
|
|
dqrmn964 remaindernear 123e1 5999999999999999 -> 1230
|
|
|
|
|
dqrmn965 remaindernear 123e1 6999999999999999 -> 1230
|
|
|
|
|
dqrmn966 remaindernear 123e1 7999999999999999 -> 1230
|
|
|
|
|
dqrmn967 remaindernear 123e1 8999999999999999 -> 1230
|
|
|
|
|
dqrmn968 remaindernear 123e1 9999999999999999 -> 1230
|
|
|
|
|
dqrmn969 remaindernear 123e1 9876543210987654 -> 1230
|
|
|
|
|
|
|
|
|
|
dqrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally
|
|
|
|
|
|
|
|
|
|
-- overflow and underflow tests [from divide]
|
|
|
|
|
dqrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible
|
|
|
|
|
dqrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible
|
|
|
|
|
dqrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible
|
|
|
|
|
dqrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible
|
|
|
|
|
dqrmn1055 remaindernear 1e-277 1e+311 -> 1E-277
|
|
|
|
|
dqrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277
|
|
|
|
|
dqrmn1057 remaindernear -1e-277 1e+311 -> -1E-277
|
|
|
|
|
dqrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277
|
|
|
|
|
|
|
|
|
|
-- Gyuris example
|
|
|
|
|
dqrmn1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143
|
|
|
|
|
|
2007-11-23 14:14:50 -04:00
|
|
|
-- destructive subtract
|
|
|
|
|
dqrmn1101 remaindernear 1234567890123456789012345678901234 1.000000000000000000000000000000001 -> -0.234567890123456789012345678901233
|
|
|
|
|
dqrmn1102 remaindernear 1234567890123456789012345678901234 1.00000000000000000000000000000001 -> -0.34567890123456789012345678901222
|
|
|
|
|
dqrmn1103 remaindernear 1234567890123456789012345678901234 1.0000000000000000000000000000001 -> -0.4567890123456789012345678901111
|
|
|
|
|
dqrmn1104 remaindernear 1234567890123456789012345678901255 4.000000000000000000000000000000001 -> -1.308641972530864197253086419725314
|
|
|
|
|
dqrmn1105 remaindernear 1234567890123456789012345678901234 4.000000000000000000000000000000001 -> 1.691358027469135802746913580274692
|
|
|
|
|
dqrmn1106 remaindernear 1234567890123456789012345678901234 4.9999999999999999999999999999999 -> -1.3086421975308642197530864219748
|
|
|
|
|
dqrmn1107 remaindernear 1234567890123456789012345678901234 4.99999999999999999999999999999999 -> 1.46913578024691357802469135780247
|
|
|
|
|
dqrmn1108 remaindernear 1234567890123456789012345678901234 4.999999999999999999999999999999999 -> -0.753086421975308642197530864219753
|
|
|
|
|
dqrmn1109 remaindernear 1234567890123456789012345678901234 5.000000000000000000000000000000001 -> -1.246913578024691357802469135780247
|
|
|
|
|
dqrmn1110 remaindernear 1234567890123456789012345678901234 5.00000000000000000000000000000001 -> 1.53086421975308642197530864219754
|
|
|
|
|
dqrmn1111 remaindernear 1234567890123456789012345678901234 5.0000000000000000000000000000001 -> -0.6913578024691357802469135780242
|
|
|
|
|
|
2007-09-13 15:13:15 -03:00
|
|
|
-- Null tests
|
|
|
|
|
dqrmn1000 remaindernear 10 # -> NaN Invalid_operation
|
|
|
|
|
dqrmn1001 remaindernear # 10 -> NaN Invalid_operation
|
|
|
|
|
|
