630 lines
34 KiB
Plaintext
630 lines
34 KiB
Plaintext
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------------------------------------------------------------------------
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-- ddSubtract.decTest -- decDouble subtraction --
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-- Copyright (c) IBM Corporation, 1981, 2008. 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: 2.59
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-- This set of tests are for decDoubles only; all arguments are
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-- representable in a decDouble
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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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-- [first group are 'quick confidence check']
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ddsub001 subtract 0 0 -> '0'
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ddsub002 subtract 1 1 -> '0'
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ddsub003 subtract 1 2 -> '-1'
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ddsub004 subtract 2 1 -> '1'
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ddsub005 subtract 2 2 -> '0'
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ddsub006 subtract 3 2 -> '1'
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ddsub007 subtract 2 3 -> '-1'
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ddsub011 subtract -0 0 -> '-0'
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ddsub012 subtract -1 1 -> '-2'
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ddsub013 subtract -1 2 -> '-3'
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ddsub014 subtract -2 1 -> '-3'
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ddsub015 subtract -2 2 -> '-4'
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ddsub016 subtract -3 2 -> '-5'
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ddsub017 subtract -2 3 -> '-5'
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ddsub021 subtract 0 -0 -> '0'
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ddsub022 subtract 1 -1 -> '2'
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ddsub023 subtract 1 -2 -> '3'
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ddsub024 subtract 2 -1 -> '3'
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ddsub025 subtract 2 -2 -> '4'
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ddsub026 subtract 3 -2 -> '5'
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ddsub027 subtract 2 -3 -> '5'
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ddsub030 subtract 11 1 -> 10
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ddsub031 subtract 10 1 -> 9
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ddsub032 subtract 9 1 -> 8
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ddsub033 subtract 1 1 -> 0
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ddsub034 subtract 0 1 -> -1
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ddsub035 subtract -1 1 -> -2
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ddsub036 subtract -9 1 -> -10
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ddsub037 subtract -10 1 -> -11
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ddsub038 subtract -11 1 -> -12
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ddsub040 subtract '5.75' '3.3' -> '2.45'
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ddsub041 subtract '5' '-3' -> '8'
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ddsub042 subtract '-5' '-3' -> '-2'
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ddsub043 subtract '-7' '2.5' -> '-9.5'
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ddsub044 subtract '0.7' '0.3' -> '0.4'
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ddsub045 subtract '1.3' '0.3' -> '1.0'
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ddsub046 subtract '1.25' '1.25' -> '0.00'
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ddsub050 subtract '1.23456789' '1.00000000' -> '0.23456789'
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ddsub051 subtract '1.23456789' '1.00000089' -> '0.23456700'
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ddsub060 subtract '70' '10000e+16' -> '-1.000000000000000E+20' Inexact Rounded
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ddsub061 subtract '700' '10000e+16' -> '-1.000000000000000E+20' Inexact Rounded
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ddsub062 subtract '7000' '10000e+16' -> '-9.999999999999999E+19' Inexact Rounded
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ddsub063 subtract '70000' '10000e+16' -> '-9.999999999999993E+19' Rounded
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ddsub064 subtract '700000' '10000e+16' -> '-9.999999999999930E+19' Rounded
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-- symmetry:
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ddsub065 subtract '10000e+16' '70' -> '1.000000000000000E+20' Inexact Rounded
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ddsub066 subtract '10000e+16' '700' -> '1.000000000000000E+20' Inexact Rounded
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ddsub067 subtract '10000e+16' '7000' -> '9.999999999999999E+19' Inexact Rounded
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ddsub068 subtract '10000e+16' '70000' -> '9.999999999999993E+19' Rounded
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ddsub069 subtract '10000e+16' '700000' -> '9.999999999999930E+19' Rounded
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-- some of the next group are really constructor tests
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ddsub090 subtract '00.0' '0.0' -> '0.0'
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ddsub091 subtract '00.0' '0.00' -> '0.00'
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ddsub092 subtract '0.00' '00.0' -> '0.00'
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ddsub093 subtract '00.0' '0.00' -> '0.00'
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ddsub094 subtract '0.00' '00.0' -> '0.00'
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ddsub095 subtract '3' '.3' -> '2.7'
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ddsub096 subtract '3.' '.3' -> '2.7'
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ddsub097 subtract '3.0' '.3' -> '2.7'
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ddsub098 subtract '3.00' '.3' -> '2.70'
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ddsub099 subtract '3' '3' -> '0'
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ddsub100 subtract '3' '+3' -> '0'
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ddsub101 subtract '3' '-3' -> '6'
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ddsub102 subtract '3' '0.3' -> '2.7'
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ddsub103 subtract '3.' '0.3' -> '2.7'
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ddsub104 subtract '3.0' '0.3' -> '2.7'
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ddsub105 subtract '3.00' '0.3' -> '2.70'
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ddsub106 subtract '3' '3.0' -> '0.0'
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ddsub107 subtract '3' '+3.0' -> '0.0'
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ddsub108 subtract '3' '-3.0' -> '6.0'
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-- the above all from add; massaged and extended. Now some new ones...
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-- [particularly important for comparisons]
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-- NB: -xE-8 below were non-exponents pre-ANSI X3-274, and -1E-7 or 0E-7
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-- with input rounding.
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ddsub120 subtract '10.23456784' '10.23456789' -> '-5E-8'
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ddsub121 subtract '10.23456785' '10.23456789' -> '-4E-8'
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ddsub122 subtract '10.23456786' '10.23456789' -> '-3E-8'
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ddsub123 subtract '10.23456787' '10.23456789' -> '-2E-8'
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ddsub124 subtract '10.23456788' '10.23456789' -> '-1E-8'
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ddsub125 subtract '10.23456789' '10.23456789' -> '0E-8'
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ddsub126 subtract '10.23456790' '10.23456789' -> '1E-8'
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ddsub127 subtract '10.23456791' '10.23456789' -> '2E-8'
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ddsub128 subtract '10.23456792' '10.23456789' -> '3E-8'
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ddsub129 subtract '10.23456793' '10.23456789' -> '4E-8'
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ddsub130 subtract '10.23456794' '10.23456789' -> '5E-8'
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ddsub131 subtract '10.23456781' '10.23456786' -> '-5E-8'
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ddsub132 subtract '10.23456782' '10.23456786' -> '-4E-8'
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ddsub133 subtract '10.23456783' '10.23456786' -> '-3E-8'
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ddsub134 subtract '10.23456784' '10.23456786' -> '-2E-8'
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ddsub135 subtract '10.23456785' '10.23456786' -> '-1E-8'
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ddsub136 subtract '10.23456786' '10.23456786' -> '0E-8'
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ddsub137 subtract '10.23456787' '10.23456786' -> '1E-8'
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ddsub138 subtract '10.23456788' '10.23456786' -> '2E-8'
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ddsub139 subtract '10.23456789' '10.23456786' -> '3E-8'
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ddsub140 subtract '10.23456790' '10.23456786' -> '4E-8'
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ddsub141 subtract '10.23456791' '10.23456786' -> '5E-8'
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ddsub142 subtract '1' '0.999999999' -> '1E-9'
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ddsub143 subtract '0.999999999' '1' -> '-1E-9'
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ddsub144 subtract '-10.23456780' '-10.23456786' -> '6E-8'
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ddsub145 subtract '-10.23456790' '-10.23456786' -> '-4E-8'
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ddsub146 subtract '-10.23456791' '-10.23456786' -> '-5E-8'
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-- additional scaled arithmetic tests [0.97 problem]
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ddsub160 subtract '0' '.1' -> '-0.1'
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ddsub161 subtract '00' '.97983' -> '-0.97983'
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ddsub162 subtract '0' '.9' -> '-0.9'
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ddsub163 subtract '0' '0.102' -> '-0.102'
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ddsub164 subtract '0' '.4' -> '-0.4'
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ddsub165 subtract '0' '.307' -> '-0.307'
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ddsub166 subtract '0' '.43822' -> '-0.43822'
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ddsub167 subtract '0' '.911' -> '-0.911'
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ddsub168 subtract '.0' '.02' -> '-0.02'
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ddsub169 subtract '00' '.392' -> '-0.392'
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ddsub170 subtract '0' '.26' -> '-0.26'
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ddsub171 subtract '0' '0.51' -> '-0.51'
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ddsub172 subtract '0' '.2234' -> '-0.2234'
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ddsub173 subtract '0' '.2' -> '-0.2'
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ddsub174 subtract '.0' '.0008' -> '-0.0008'
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-- 0. on left
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ddsub180 subtract '0.0' '-.1' -> '0.1'
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ddsub181 subtract '0.00' '-.97983' -> '0.97983'
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ddsub182 subtract '0.0' '-.9' -> '0.9'
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ddsub183 subtract '0.0' '-0.102' -> '0.102'
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ddsub184 subtract '0.0' '-.4' -> '0.4'
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ddsub185 subtract '0.0' '-.307' -> '0.307'
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ddsub186 subtract '0.0' '-.43822' -> '0.43822'
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ddsub187 subtract '0.0' '-.911' -> '0.911'
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ddsub188 subtract '0.0' '-.02' -> '0.02'
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ddsub189 subtract '0.00' '-.392' -> '0.392'
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ddsub190 subtract '0.0' '-.26' -> '0.26'
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ddsub191 subtract '0.0' '-0.51' -> '0.51'
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ddsub192 subtract '0.0' '-.2234' -> '0.2234'
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ddsub193 subtract '0.0' '-.2' -> '0.2'
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ddsub194 subtract '0.0' '-.0008' -> '0.0008'
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-- negatives of same
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ddsub200 subtract '0' '-.1' -> '0.1'
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ddsub201 subtract '00' '-.97983' -> '0.97983'
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ddsub202 subtract '0' '-.9' -> '0.9'
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ddsub203 subtract '0' '-0.102' -> '0.102'
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ddsub204 subtract '0' '-.4' -> '0.4'
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ddsub205 subtract '0' '-.307' -> '0.307'
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ddsub206 subtract '0' '-.43822' -> '0.43822'
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ddsub207 subtract '0' '-.911' -> '0.911'
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ddsub208 subtract '.0' '-.02' -> '0.02'
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ddsub209 subtract '00' '-.392' -> '0.392'
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ddsub210 subtract '0' '-.26' -> '0.26'
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ddsub211 subtract '0' '-0.51' -> '0.51'
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ddsub212 subtract '0' '-.2234' -> '0.2234'
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ddsub213 subtract '0' '-.2' -> '0.2'
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ddsub214 subtract '.0' '-.0008' -> '0.0008'
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-- more fixed, LHS swaps [really the same as testcases under add]
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ddsub220 subtract '-56267E-12' 0 -> '-5.6267E-8'
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ddsub221 subtract '-56267E-11' 0 -> '-5.6267E-7'
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ddsub222 subtract '-56267E-10' 0 -> '-0.0000056267'
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ddsub223 subtract '-56267E-9' 0 -> '-0.000056267'
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ddsub224 subtract '-56267E-8' 0 -> '-0.00056267'
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ddsub225 subtract '-56267E-7' 0 -> '-0.0056267'
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ddsub226 subtract '-56267E-6' 0 -> '-0.056267'
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ddsub227 subtract '-56267E-5' 0 -> '-0.56267'
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ddsub228 subtract '-56267E-2' 0 -> '-562.67'
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ddsub229 subtract '-56267E-1' 0 -> '-5626.7'
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ddsub230 subtract '-56267E-0' 0 -> '-56267'
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-- symmetry ...
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ddsub240 subtract 0 '-56267E-12' -> '5.6267E-8'
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ddsub241 subtract 0 '-56267E-11' -> '5.6267E-7'
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ddsub242 subtract 0 '-56267E-10' -> '0.0000056267'
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ddsub243 subtract 0 '-56267E-9' -> '0.000056267'
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ddsub244 subtract 0 '-56267E-8' -> '0.00056267'
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ddsub245 subtract 0 '-56267E-7' -> '0.0056267'
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ddsub246 subtract 0 '-56267E-6' -> '0.056267'
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ddsub247 subtract 0 '-56267E-5' -> '0.56267'
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ddsub248 subtract 0 '-56267E-2' -> '562.67'
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ddsub249 subtract 0 '-56267E-1' -> '5626.7'
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ddsub250 subtract 0 '-56267E-0' -> '56267'
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-- now some more from the 'new' add
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ddsub301 subtract '1.23456789' '1.00000000' -> '0.23456789'
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ddsub302 subtract '1.23456789' '1.00000011' -> '0.23456778'
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-- some carrying effects
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ddsub321 subtract '0.9998' '0.0000' -> '0.9998'
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ddsub322 subtract '0.9998' '0.0001' -> '0.9997'
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ddsub323 subtract '0.9998' '0.0002' -> '0.9996'
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ddsub324 subtract '0.9998' '0.0003' -> '0.9995'
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ddsub325 subtract '0.9998' '-0.0000' -> '0.9998'
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ddsub326 subtract '0.9998' '-0.0001' -> '0.9999'
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ddsub327 subtract '0.9998' '-0.0002' -> '1.0000'
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ddsub328 subtract '0.9998' '-0.0003' -> '1.0001'
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-- internal boundaries
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ddsub346 subtract '10000e+9' '7' -> '9999999999993'
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ddsub347 subtract '10000e+9' '70' -> '9999999999930'
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ddsub348 subtract '10000e+9' '700' -> '9999999999300'
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ddsub349 subtract '10000e+9' '7000' -> '9999999993000'
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ddsub350 subtract '10000e+9' '70000' -> '9999999930000'
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ddsub351 subtract '10000e+9' '700000' -> '9999999300000'
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ddsub352 subtract '7' '10000e+9' -> '-9999999999993'
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ddsub353 subtract '70' '10000e+9' -> '-9999999999930'
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ddsub354 subtract '700' '10000e+9' -> '-9999999999300'
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ddsub355 subtract '7000' '10000e+9' -> '-9999999993000'
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ddsub356 subtract '70000' '10000e+9' -> '-9999999930000'
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ddsub357 subtract '700000' '10000e+9' -> '-9999999300000'
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-- zero preservation
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ddsub361 subtract 1 '0.0001' -> '0.9999'
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ddsub362 subtract 1 '0.00001' -> '0.99999'
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ddsub363 subtract 1 '0.000001' -> '0.999999'
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ddsub364 subtract 1 '0.0000000000000001' -> '0.9999999999999999'
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ddsub365 subtract 1 '0.00000000000000001' -> '1.000000000000000' Inexact Rounded
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ddsub366 subtract 1 '0.000000000000000001' -> '1.000000000000000' Inexact Rounded
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-- some funny zeros [in case of bad signum]
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ddsub370 subtract 1 0 -> 1
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ddsub371 subtract 1 0. -> 1
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ddsub372 subtract 1 .0 -> 1.0
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ddsub373 subtract 1 0.0 -> 1.0
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ddsub374 subtract 0 1 -> -1
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ddsub375 subtract 0. 1 -> -1
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ddsub376 subtract .0 1 -> -1.0
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ddsub377 subtract 0.0 1 -> -1.0
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-- leading 0 digit before round
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ddsub910 subtract -103519362 -51897955.3 -> -51621406.7
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ddsub911 subtract 159579.444 89827.5229 -> 69751.9211
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ddsub920 subtract 333.0000000123456 33.00000001234566 -> 299.9999999999999 Inexact Rounded
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ddsub921 subtract 333.0000000123456 33.00000001234565 -> 300.0000000000000 Inexact Rounded
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ddsub922 subtract 133.0000000123456 33.00000001234565 -> 99.99999999999995
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ddsub923 subtract 133.0000000123456 33.00000001234564 -> 99.99999999999996
|
||
|
|
ddsub924 subtract 133.0000000123456 33.00000001234540 -> 100.0000000000002 Rounded
|
||
|
|
ddsub925 subtract 133.0000000123456 43.00000001234560 -> 90.00000000000000
|
||
|
|
ddsub926 subtract 133.0000000123456 43.00000001234561 -> 89.99999999999999
|
||
|
|
ddsub927 subtract 133.0000000123456 43.00000001234566 -> 89.99999999999994
|
||
|
|
ddsub928 subtract 101.0000000123456 91.00000001234566 -> 9.99999999999994
|
||
|
|
ddsub929 subtract 101.0000000123456 99.00000001234566 -> 1.99999999999994
|
||
|
|
|
||
|
|
-- more LHS swaps [were fixed]
|
||
|
|
ddsub390 subtract '-56267E-10' 0 -> '-0.0000056267'
|
||
|
|
ddsub391 subtract '-56267E-6' 0 -> '-0.056267'
|
||
|
|
ddsub392 subtract '-56267E-5' 0 -> '-0.56267'
|
||
|
|
ddsub393 subtract '-56267E-4' 0 -> '-5.6267'
|
||
|
|
ddsub394 subtract '-56267E-3' 0 -> '-56.267'
|
||
|
|
ddsub395 subtract '-56267E-2' 0 -> '-562.67'
|
||
|
|
ddsub396 subtract '-56267E-1' 0 -> '-5626.7'
|
||
|
|
ddsub397 subtract '-56267E-0' 0 -> '-56267'
|
||
|
|
ddsub398 subtract '-5E-10' 0 -> '-5E-10'
|
||
|
|
ddsub399 subtract '-5E-7' 0 -> '-5E-7'
|
||
|
|
ddsub400 subtract '-5E-6' 0 -> '-0.000005'
|
||
|
|
ddsub401 subtract '-5E-5' 0 -> '-0.00005'
|
||
|
|
ddsub402 subtract '-5E-4' 0 -> '-0.0005'
|
||
|
|
ddsub403 subtract '-5E-1' 0 -> '-0.5'
|
||
|
|
ddsub404 subtract '-5E0' 0 -> '-5'
|
||
|
|
ddsub405 subtract '-5E1' 0 -> '-50'
|
||
|
|
ddsub406 subtract '-5E5' 0 -> '-500000'
|
||
|
|
ddsub407 subtract '-5E15' 0 -> '-5000000000000000'
|
||
|
|
ddsub408 subtract '-5E16' 0 -> '-5.000000000000000E+16' Rounded
|
||
|
|
ddsub409 subtract '-5E17' 0 -> '-5.000000000000000E+17' Rounded
|
||
|
|
ddsub410 subtract '-5E18' 0 -> '-5.000000000000000E+18' Rounded
|
||
|
|
ddsub411 subtract '-5E100' 0 -> '-5.000000000000000E+100' Rounded
|
||
|
|
|
||
|
|
-- more RHS swaps [were fixed]
|
||
|
|
ddsub420 subtract 0 '-56267E-10' -> '0.0000056267'
|
||
|
|
ddsub421 subtract 0 '-56267E-6' -> '0.056267'
|
||
|
|
ddsub422 subtract 0 '-56267E-5' -> '0.56267'
|
||
|
|
ddsub423 subtract 0 '-56267E-4' -> '5.6267'
|
||
|
|
ddsub424 subtract 0 '-56267E-3' -> '56.267'
|
||
|
|
ddsub425 subtract 0 '-56267E-2' -> '562.67'
|
||
|
|
ddsub426 subtract 0 '-56267E-1' -> '5626.7'
|
||
|
|
ddsub427 subtract 0 '-56267E-0' -> '56267'
|
||
|
|
ddsub428 subtract 0 '-5E-10' -> '5E-10'
|
||
|
|
ddsub429 subtract 0 '-5E-7' -> '5E-7'
|
||
|
|
ddsub430 subtract 0 '-5E-6' -> '0.000005'
|
||
|
|
ddsub431 subtract 0 '-5E-5' -> '0.00005'
|
||
|
|
ddsub432 subtract 0 '-5E-4' -> '0.0005'
|
||
|
|
ddsub433 subtract 0 '-5E-1' -> '0.5'
|
||
|
|
ddsub434 subtract 0 '-5E0' -> '5'
|
||
|
|
ddsub435 subtract 0 '-5E1' -> '50'
|
||
|
|
ddsub436 subtract 0 '-5E5' -> '500000'
|
||
|
|
ddsub437 subtract 0 '-5E15' -> '5000000000000000'
|
||
|
|
ddsub438 subtract 0 '-5E16' -> '5.000000000000000E+16' Rounded
|
||
|
|
ddsub439 subtract 0 '-5E17' -> '5.000000000000000E+17' Rounded
|
||
|
|
ddsub440 subtract 0 '-5E18' -> '5.000000000000000E+18' Rounded
|
||
|
|
ddsub441 subtract 0 '-5E100' -> '5.000000000000000E+100' Rounded
|
||
|
|
|
||
|
|
|
||
|
|
-- try borderline precision, with carries, etc.
|
||
|
|
ddsub461 subtract '1E+16' '1' -> '9999999999999999'
|
||
|
|
ddsub462 subtract '1E+12' '-1.111' -> '1000000000001.111'
|
||
|
|
ddsub463 subtract '1.111' '-1E+12' -> '1000000000001.111'
|
||
|
|
ddsub464 subtract '-1' '-1E+16' -> '9999999999999999'
|
||
|
|
ddsub465 subtract '7E+15' '1' -> '6999999999999999'
|
||
|
|
ddsub466 subtract '7E+12' '-1.111' -> '7000000000001.111'
|
||
|
|
ddsub467 subtract '1.111' '-7E+12' -> '7000000000001.111'
|
||
|
|
ddsub468 subtract '-1' '-7E+15' -> '6999999999999999'
|
||
|
|
|
||
|
|
-- 1234567890123456 1234567890123456 1 23456789012345
|
||
|
|
ddsub470 subtract '0.4444444444444444' '-0.5555555555555563' -> '1.000000000000001' Inexact Rounded
|
||
|
|
ddsub471 subtract '0.4444444444444444' '-0.5555555555555562' -> '1.000000000000001' Inexact Rounded
|
||
|
|
ddsub472 subtract '0.4444444444444444' '-0.5555555555555561' -> '1.000000000000000' Inexact Rounded
|
||
|
|
ddsub473 subtract '0.4444444444444444' '-0.5555555555555560' -> '1.000000000000000' Inexact Rounded
|
||
|
|
ddsub474 subtract '0.4444444444444444' '-0.5555555555555559' -> '1.000000000000000' Inexact Rounded
|
||
|
|
ddsub475 subtract '0.4444444444444444' '-0.5555555555555558' -> '1.000000000000000' Inexact Rounded
|
||
|
|
ddsub476 subtract '0.4444444444444444' '-0.5555555555555557' -> '1.000000000000000' Inexact Rounded
|
||
|
|
ddsub477 subtract '0.4444444444444444' '-0.5555555555555556' -> '1.000000000000000' Rounded
|
||
|
|
ddsub478 subtract '0.4444444444444444' '-0.5555555555555555' -> '0.9999999999999999'
|
||
|
|
ddsub479 subtract '0.4444444444444444' '-0.5555555555555554' -> '0.9999999999999998'
|
||
|
|
ddsub480 subtract '0.4444444444444444' '-0.5555555555555553' -> '0.9999999999999997'
|
||
|
|
ddsub481 subtract '0.4444444444444444' '-0.5555555555555552' -> '0.9999999999999996'
|
||
|
|
ddsub482 subtract '0.4444444444444444' '-0.5555555555555551' -> '0.9999999999999995'
|
||
|
|
ddsub483 subtract '0.4444444444444444' '-0.5555555555555550' -> '0.9999999999999994'
|
||
|
|
|
||
|
|
-- and some more, including residue effects and different roundings
|
||
|
|
rounding: half_up
|
||
|
|
ddsub500 subtract '1231234567456789' 0 -> '1231234567456789'
|
||
|
|
ddsub501 subtract '1231234567456789' 0.000000001 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub502 subtract '1231234567456789' 0.000001 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub503 subtract '1231234567456789' 0.1 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub504 subtract '1231234567456789' 0.4 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub505 subtract '1231234567456789' 0.49 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub506 subtract '1231234567456789' 0.499999 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub507 subtract '1231234567456789' 0.499999999 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub508 subtract '1231234567456789' 0.5 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub509 subtract '1231234567456789' 0.500000001 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub510 subtract '1231234567456789' 0.500001 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub511 subtract '1231234567456789' 0.51 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub512 subtract '1231234567456789' 0.6 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub513 subtract '1231234567456789' 0.9 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub514 subtract '1231234567456789' 0.99999 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub515 subtract '1231234567456789' 0.999999999 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub516 subtract '1231234567456789' 1 -> '1231234567456788'
|
||
|
|
ddsub517 subtract '1231234567456789' 1.000000001 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub518 subtract '1231234567456789' 1.00001 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub519 subtract '1231234567456789' 1.1 -> '1231234567456788' Inexact Rounded
|
||
|
|
|
||
|
|
rounding: half_even
|
||
|
|
ddsub520 subtract '1231234567456789' 0 -> '1231234567456789'
|
||
|
|
ddsub521 subtract '1231234567456789' 0.000000001 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub522 subtract '1231234567456789' 0.000001 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub523 subtract '1231234567456789' 0.1 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub524 subtract '1231234567456789' 0.4 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub525 subtract '1231234567456789' 0.49 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub526 subtract '1231234567456789' 0.499999 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub527 subtract '1231234567456789' 0.499999999 -> '1231234567456789' Inexact Rounded
|
||
|
|
ddsub528 subtract '1231234567456789' 0.5 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub529 subtract '1231234567456789' 0.500000001 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub530 subtract '1231234567456789' 0.500001 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub531 subtract '1231234567456789' 0.51 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub532 subtract '1231234567456789' 0.6 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub533 subtract '1231234567456789' 0.9 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub534 subtract '1231234567456789' 0.99999 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub535 subtract '1231234567456789' 0.999999999 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub536 subtract '1231234567456789' 1 -> '1231234567456788'
|
||
|
|
ddsub537 subtract '1231234567456789' 1.00000001 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub538 subtract '1231234567456789' 1.00001 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub539 subtract '1231234567456789' 1.1 -> '1231234567456788' Inexact Rounded
|
||
|
|
-- critical few with even bottom digit...
|
||
|
|
ddsub540 subtract '1231234567456788' 0.499999999 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub541 subtract '1231234567456788' 0.5 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub542 subtract '1231234567456788' 0.500000001 -> '1231234567456787' Inexact Rounded
|
||
|
|
|
||
|
|
rounding: down
|
||
|
|
ddsub550 subtract '1231234567456789' 0 -> '1231234567456789'
|
||
|
|
ddsub551 subtract '1231234567456789' 0.000000001 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub552 subtract '1231234567456789' 0.000001 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub553 subtract '1231234567456789' 0.1 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub554 subtract '1231234567456789' 0.4 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub555 subtract '1231234567456789' 0.49 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub556 subtract '1231234567456789' 0.499999 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub557 subtract '1231234567456789' 0.499999999 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub558 subtract '1231234567456789' 0.5 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub559 subtract '1231234567456789' 0.500000001 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub560 subtract '1231234567456789' 0.500001 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub561 subtract '1231234567456789' 0.51 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub562 subtract '1231234567456789' 0.6 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub563 subtract '1231234567456789' 0.9 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub564 subtract '1231234567456789' 0.99999 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub565 subtract '1231234567456789' 0.999999999 -> '1231234567456788' Inexact Rounded
|
||
|
|
ddsub566 subtract '1231234567456789' 1 -> '1231234567456788'
|
||
|
|
ddsub567 subtract '1231234567456789' 1.00000001 -> '1231234567456787' Inexact Rounded
|
||
|
|
ddsub568 subtract '1231234567456789' 1.00001 -> '1231234567456787' Inexact Rounded
|
||
|
|
ddsub569 subtract '1231234567456789' 1.1 -> '1231234567456787' Inexact Rounded
|
||
|
|
|
||
|
|
-- symmetry...
|
||
|
|
rounding: half_up
|
||
|
|
ddsub600 subtract 0 '1231234567456789' -> '-1231234567456789'
|
||
|
|
ddsub601 subtract 0.000000001 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub602 subtract 0.000001 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub603 subtract 0.1 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub604 subtract 0.4 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub605 subtract 0.49 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub606 subtract 0.499999 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub607 subtract 0.499999999 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub608 subtract 0.5 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub609 subtract 0.500000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub610 subtract 0.500001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub611 subtract 0.51 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub612 subtract 0.6 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub613 subtract 0.9 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub614 subtract 0.99999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub615 subtract 0.999999999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub616 subtract 1 '1231234567456789' -> '-1231234567456788'
|
||
|
|
ddsub617 subtract 1.000000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub618 subtract 1.00001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub619 subtract 1.1 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
|
||
|
|
rounding: half_even
|
||
|
|
ddsub620 subtract 0 '1231234567456789' -> '-1231234567456789'
|
||
|
|
ddsub621 subtract 0.000000001 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub622 subtract 0.000001 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub623 subtract 0.1 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub624 subtract 0.4 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub625 subtract 0.49 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub626 subtract 0.499999 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub627 subtract 0.499999999 '1231234567456789' -> '-1231234567456789' Inexact Rounded
|
||
|
|
ddsub628 subtract 0.5 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub629 subtract 0.500000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub630 subtract 0.500001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub631 subtract 0.51 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub632 subtract 0.6 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub633 subtract 0.9 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub634 subtract 0.99999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub635 subtract 0.999999999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub636 subtract 1 '1231234567456789' -> '-1231234567456788'
|
||
|
|
ddsub637 subtract 1.00000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub638 subtract 1.00001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub639 subtract 1.1 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
-- critical few with even bottom digit...
|
||
|
|
ddsub640 subtract 0.499999999 '1231234567456788' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub641 subtract 0.5 '1231234567456788' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub642 subtract 0.500000001 '1231234567456788' -> '-1231234567456787' Inexact Rounded
|
||
|
|
|
||
|
|
rounding: down
|
||
|
|
ddsub650 subtract 0 '1231234567456789' -> '-1231234567456789'
|
||
|
|
ddsub651 subtract 0.000000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub652 subtract 0.000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub653 subtract 0.1 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub654 subtract 0.4 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub655 subtract 0.49 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub656 subtract 0.499999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub657 subtract 0.499999999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub658 subtract 0.5 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub659 subtract 0.500000001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub660 subtract 0.500001 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub661 subtract 0.51 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub662 subtract 0.6 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub663 subtract 0.9 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub664 subtract 0.99999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub665 subtract 0.999999999 '1231234567456789' -> '-1231234567456788' Inexact Rounded
|
||
|
|
ddsub666 subtract 1 '1231234567456789' -> '-1231234567456788'
|
||
|
|
ddsub667 subtract 1.00000001 '1231234567456789' -> '-1231234567456787' Inexact Rounded
|
||
|
|
ddsub668 subtract 1.00001 '1231234567456789' -> '-1231234567456787' Inexact Rounded
|
||
|
|
ddsub669 subtract 1.1 '1231234567456789' -> '-1231234567456787' Inexact Rounded
|
||
|
|
|
||
|
|
|
||
|
|
-- lots of leading zeros in intermediate result, and showing effects of
|
||
|
|
-- input rounding would have affected the following
|
||
|
|
rounding: half_up
|
||
|
|
ddsub670 subtract '1234567456789' '1234567456788.1' -> 0.9
|
||
|
|
ddsub671 subtract '1234567456789' '1234567456788.9' -> 0.1
|
||
|
|
ddsub672 subtract '1234567456789' '1234567456789.1' -> -0.1
|
||
|
|
ddsub673 subtract '1234567456789' '1234567456789.5' -> -0.5
|
||
|
|
ddsub674 subtract '1234567456789' '1234567456789.9' -> -0.9
|
||
|
|
|
||
|
|
rounding: half_even
|
||
|
|
ddsub680 subtract '1234567456789' '1234567456788.1' -> 0.9
|
||
|
|
ddsub681 subtract '1234567456789' '1234567456788.9' -> 0.1
|
||
|
|
ddsub682 subtract '1234567456789' '1234567456789.1' -> -0.1
|
||
|
|
ddsub683 subtract '1234567456789' '1234567456789.5' -> -0.5
|
||
|
|
ddsub684 subtract '1234567456789' '1234567456789.9' -> -0.9
|
||
|
|
|
||
|
|
ddsub685 subtract '1234567456788' '1234567456787.1' -> 0.9
|
||
|
|
ddsub686 subtract '1234567456788' '1234567456787.9' -> 0.1
|
||
|
|
ddsub687 subtract '1234567456788' '1234567456788.1' -> -0.1
|
||
|
|
ddsub688 subtract '1234567456788' '1234567456788.5' -> -0.5
|
||
|
|
ddsub689 subtract '1234567456788' '1234567456788.9' -> -0.9
|
||
|
|
|
||
|
|
rounding: down
|
||
|
|
ddsub690 subtract '1234567456789' '1234567456788.1' -> 0.9
|
||
|
|
ddsub691 subtract '1234567456789' '1234567456788.9' -> 0.1
|
||
|
|
ddsub692 subtract '1234567456789' '1234567456789.1' -> -0.1
|
||
|
|
ddsub693 subtract '1234567456789' '1234567456789.5' -> -0.5
|
||
|
|
ddsub694 subtract '1234567456789' '1234567456789.9' -> -0.9
|
||
|
|
|
||
|
|
-- Specials
|
||
|
|
ddsub780 subtract -Inf Inf -> -Infinity
|
||
|
|
ddsub781 subtract -Inf 1000 -> -Infinity
|
||
|
|
ddsub782 subtract -Inf 1 -> -Infinity
|
||
|
|
ddsub783 subtract -Inf -0 -> -Infinity
|
||
|
|
ddsub784 subtract -Inf -1 -> -Infinity
|
||
|
|
ddsub785 subtract -Inf -1000 -> -Infinity
|
||
|
|
ddsub787 subtract -1000 Inf -> -Infinity
|
||
|
|
ddsub788 subtract -Inf Inf -> -Infinity
|
||
|
|
ddsub789 subtract -1 Inf -> -Infinity
|
||
|
|
ddsub790 subtract 0 Inf -> -Infinity
|
||
|
|
ddsub791 subtract 1 Inf -> -Infinity
|
||
|
|
ddsub792 subtract 1000 Inf -> -Infinity
|
||
|
|
|
||
|
|
ddsub800 subtract Inf Inf -> NaN Invalid_operation
|
||
|
|
ddsub801 subtract Inf 1000 -> Infinity
|
||
|
|
ddsub802 subtract Inf 1 -> Infinity
|
||
|
|
ddsub803 subtract Inf 0 -> Infinity
|
||
|
|
ddsub804 subtract Inf -0 -> Infinity
|
||
|
|
ddsub805 subtract Inf -1 -> Infinity
|
||
|
|
ddsub806 subtract Inf -1000 -> Infinity
|
||
|
|
ddsub807 subtract Inf -Inf -> Infinity
|
||
|
|
ddsub808 subtract -1000 -Inf -> Infinity
|
||
|
|
ddsub809 subtract -Inf -Inf -> NaN Invalid_operation
|
||
|
|
ddsub810 subtract -1 -Inf -> Infinity
|
||
|
|
ddsub811 subtract -0 -Inf -> Infinity
|
||
|
|
ddsub812 subtract 0 -Inf -> Infinity
|
||
|
|
ddsub813 subtract 1 -Inf -> Infinity
|
||
|
|
ddsub814 subtract 1000 -Inf -> Infinity
|
||
|
|
ddsub815 subtract Inf -Inf -> Infinity
|
||
|
|
|
||
|
|
ddsub821 subtract NaN Inf -> NaN
|
||
|
|
ddsub822 subtract -NaN 1000 -> -NaN
|
||
|
|
ddsub823 subtract NaN 1 -> NaN
|
||
|
|
ddsub824 subtract NaN 0 -> NaN
|
||
|
|
ddsub825 subtract NaN -0 -> NaN
|
||
|
|
ddsub826 subtract NaN -1 -> NaN
|
||
|
|
ddsub827 subtract NaN -1000 -> NaN
|
||
|
|
ddsub828 subtract NaN -Inf -> NaN
|
||
|
|
ddsub829 subtract -NaN NaN -> -NaN
|
||
|
|
ddsub830 subtract -Inf NaN -> NaN
|
||
|
|
ddsub831 subtract -1000 NaN -> NaN
|
||
|
|
ddsub832 subtract -1 NaN -> NaN
|
||
|
|
ddsub833 subtract -0 NaN -> NaN
|
||
|
|
ddsub834 subtract 0 NaN -> NaN
|
||
|
|
ddsub835 subtract 1 NaN -> NaN
|
||
|
|
ddsub836 subtract 1000 -NaN -> -NaN
|
||
|
|
ddsub837 subtract Inf NaN -> NaN
|
||
|
|
|
||
|
|
ddsub841 subtract sNaN Inf -> NaN Invalid_operation
|
||
|
|
ddsub842 subtract -sNaN 1000 -> -NaN Invalid_operation
|
||
|
|
ddsub843 subtract sNaN 1 -> NaN Invalid_operation
|
||
|
|
ddsub844 subtract sNaN 0 -> NaN Invalid_operation
|
||
|
|
ddsub845 subtract sNaN -0 -> NaN Invalid_operation
|
||
|
|
ddsub846 subtract sNaN -1 -> NaN Invalid_operation
|
||
|
|
ddsub847 subtract sNaN -1000 -> NaN Invalid_operation
|
||
|
|
ddsub848 subtract sNaN NaN -> NaN Invalid_operation
|
||
|
|
ddsub849 subtract sNaN sNaN -> NaN Invalid_operation
|
||
|
|
ddsub850 subtract NaN sNaN -> NaN Invalid_operation
|
||
|
|
ddsub851 subtract -Inf -sNaN -> -NaN Invalid_operation
|
||
|
|
ddsub852 subtract -1000 sNaN -> NaN Invalid_operation
|
||
|
|
ddsub853 subtract -1 sNaN -> NaN Invalid_operation
|
||
|
|
ddsub854 subtract -0 sNaN -> NaN Invalid_operation
|
||
|
|
ddsub855 subtract 0 sNaN -> NaN Invalid_operation
|
||
|
|
ddsub856 subtract 1 sNaN -> NaN Invalid_operation
|
||
|
|
ddsub857 subtract 1000 sNaN -> NaN Invalid_operation
|
||
|
|
ddsub858 subtract Inf sNaN -> NaN Invalid_operation
|
||
|
|
ddsub859 subtract NaN sNaN -> NaN Invalid_operation
|
||
|
|
|
||
|
|
-- propagating NaNs
|
||
|
|
ddsub861 subtract NaN01 -Inf -> NaN1
|
||
|
|
ddsub862 subtract -NaN02 -1000 -> -NaN2
|
||
|
|
ddsub863 subtract NaN03 1000 -> NaN3
|
||
|
|
ddsub864 subtract NaN04 Inf -> NaN4
|
||
|
|
ddsub865 subtract NaN05 NaN61 -> NaN5
|
||
|
|
ddsub866 subtract -Inf -NaN71 -> -NaN71
|
||
|
|
ddsub867 subtract -1000 NaN81 -> NaN81
|
||
|
|
ddsub868 subtract 1000 NaN91 -> NaN91
|
||
|
|
ddsub869 subtract Inf NaN101 -> NaN101
|
||
|
|
ddsub871 subtract sNaN011 -Inf -> NaN11 Invalid_operation
|
||
|
|
ddsub872 subtract sNaN012 -1000 -> NaN12 Invalid_operation
|
||
|
|
ddsub873 subtract -sNaN013 1000 -> -NaN13 Invalid_operation
|
||
|
|
ddsub874 subtract sNaN014 NaN171 -> NaN14 Invalid_operation
|
||
|
|
ddsub875 subtract sNaN015 sNaN181 -> NaN15 Invalid_operation
|
||
|
|
ddsub876 subtract NaN016 sNaN191 -> NaN191 Invalid_operation
|
||
|
|
ddsub877 subtract -Inf sNaN201 -> NaN201 Invalid_operation
|
||
|
|
ddsub878 subtract -1000 sNaN211 -> NaN211 Invalid_operation
|
||
|
|
ddsub879 subtract 1000 -sNaN221 -> -NaN221 Invalid_operation
|
||
|
|
ddsub880 subtract Inf sNaN231 -> NaN231 Invalid_operation
|
||
|
|
ddsub881 subtract NaN025 sNaN241 -> NaN241 Invalid_operation
|
||
|
|
|
||
|
|
-- edge case spills
|
||
|
|
ddsub901 subtract 2.E-3 1.002 -> -1.000
|
||
|
|
ddsub902 subtract 2.0E-3 1.002 -> -1.0000
|
||
|
|
ddsub903 subtract 2.00E-3 1.0020 -> -1.00000
|
||
|
|
ddsub904 subtract 2.000E-3 1.00200 -> -1.000000
|
||
|
|
ddsub905 subtract 2.0000E-3 1.002000 -> -1.0000000
|
||
|
|
ddsub906 subtract 2.00000E-3 1.0020000 -> -1.00000000
|
||
|
|
ddsub907 subtract 2.000000E-3 1.00200000 -> -1.000000000
|
||
|
|
ddsub908 subtract 2.0000000E-3 1.002000000 -> -1.0000000000
|
||
|
|
|
||
|
|
-- subnormals and overflows covered under Add
|
||
|
|
|
||
|
|
-- Null tests
|
||
|
|
ddsub9990 subtract 10 # -> NaN Invalid_operation
|
||
|
|
ddsub9991 subtract # 10 -> NaN Invalid_operation
|