| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 1 | ------------------------------------------------------------------------
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| 2 | -- dqSubtract.decTest -- decQuad subtraction --
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| Benjamin Peterson | f17ff4e | 2008-07-31 16:32:12 +0000 | [diff] [blame] | 3 | -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
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| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 4 | ------------------------------------------------------------------------
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| 5 | -- Please see the document "General Decimal Arithmetic Testcases" --
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| 6 | -- at http://www2.hursley.ibm.com/decimal for the description of --
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| 7 | -- these testcases. --
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| 8 | -- --
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| 9 | -- These testcases are experimental ('beta' versions), and they --
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| 10 | -- may contain errors. They are offered on an as-is basis. In --
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| 11 | -- particular, achieving the same results as the tests here is not --
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| 12 | -- a guarantee that an implementation complies with any Standard --
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| 13 | -- or specification. The tests are not exhaustive. --
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| 14 | -- --
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| 15 | -- Please send comments, suggestions, and corrections to the author: --
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| 16 | -- Mike Cowlishaw, IBM Fellow --
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| 17 | -- IBM UK, PO Box 31, Birmingham Road, Warwick CV34 5JL, UK --
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| 18 | -- mfc@uk.ibm.com --
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| 19 | ------------------------------------------------------------------------
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| Mark Dickinson | 8a54653 | 2009-10-08 16:30:38 +0000 | [diff] [blame] | 20 | version: 2.59
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| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 21 |
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| 22 | -- This set of tests are for decQuads only; all arguments are
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| 23 | -- representable in a decQuad
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| 24 | extended: 1
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| 25 | clamp: 1
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| 26 | precision: 34
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| 27 | maxExponent: 6144
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| 28 | minExponent: -6143
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| 29 | rounding: half_even
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| 30 |
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| 31 | -- [first group are 'quick confidence check']
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| 32 | dqsub001 subtract 0 0 -> '0'
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| 33 | dqsub002 subtract 1 1 -> '0'
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| 34 | dqsub003 subtract 1 2 -> '-1'
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| 35 | dqsub004 subtract 2 1 -> '1'
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| 36 | dqsub005 subtract 2 2 -> '0'
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| 37 | dqsub006 subtract 3 2 -> '1'
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| 38 | dqsub007 subtract 2 3 -> '-1'
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| 39 |
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| 40 | dqsub011 subtract -0 0 -> '-0'
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| 41 | dqsub012 subtract -1 1 -> '-2'
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| 42 | dqsub013 subtract -1 2 -> '-3'
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| 43 | dqsub014 subtract -2 1 -> '-3'
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| 44 | dqsub015 subtract -2 2 -> '-4'
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| 45 | dqsub016 subtract -3 2 -> '-5'
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| 46 | dqsub017 subtract -2 3 -> '-5'
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| 47 |
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| 48 | dqsub021 subtract 0 -0 -> '0'
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| 49 | dqsub022 subtract 1 -1 -> '2'
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| 50 | dqsub023 subtract 1 -2 -> '3'
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| 51 | dqsub024 subtract 2 -1 -> '3'
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| 52 | dqsub025 subtract 2 -2 -> '4'
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| 53 | dqsub026 subtract 3 -2 -> '5'
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| 54 | dqsub027 subtract 2 -3 -> '5'
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| 55 |
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| 56 | dqsub030 subtract 11 1 -> 10
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| 57 | dqsub031 subtract 10 1 -> 9
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| 58 | dqsub032 subtract 9 1 -> 8
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| 59 | dqsub033 subtract 1 1 -> 0
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| 60 | dqsub034 subtract 0 1 -> -1
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| 61 | dqsub035 subtract -1 1 -> -2
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| 62 | dqsub036 subtract -9 1 -> -10
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| 63 | dqsub037 subtract -10 1 -> -11
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| 64 | dqsub038 subtract -11 1 -> -12
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| 65 |
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| 66 | dqsub040 subtract '5.75' '3.3' -> '2.45'
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| 67 | dqsub041 subtract '5' '-3' -> '8'
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| 68 | dqsub042 subtract '-5' '-3' -> '-2'
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| 69 | dqsub043 subtract '-7' '2.5' -> '-9.5'
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| 70 | dqsub044 subtract '0.7' '0.3' -> '0.4'
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| 71 | dqsub045 subtract '1.3' '0.3' -> '1.0'
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| 72 | dqsub046 subtract '1.25' '1.25' -> '0.00'
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| 73 |
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| 74 | dqsub050 subtract '1.23456789' '1.00000000' -> '0.23456789'
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| 75 | dqsub051 subtract '1.23456789' '1.00000089' -> '0.23456700'
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| 76 |
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| 77 | dqsub060 subtract '70' '10000e+34' -> '-1.000000000000000000000000000000000E+38' Inexact Rounded
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| 78 | dqsub061 subtract '700' '10000e+34' -> '-1.000000000000000000000000000000000E+38' Inexact Rounded
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| 79 | dqsub062 subtract '7000' '10000e+34' -> '-9.999999999999999999999999999999999E+37' Inexact Rounded
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| 80 | dqsub063 subtract '70000' '10000e+34' -> '-9.999999999999999999999999999999993E+37' Rounded
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| 81 | dqsub064 subtract '700000' '10000e+34' -> '-9.999999999999999999999999999999930E+37' Rounded
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| 82 | -- symmetry:
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| 83 | dqsub065 subtract '10000e+34' '70' -> '1.000000000000000000000000000000000E+38' Inexact Rounded
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| 84 | dqsub066 subtract '10000e+34' '700' -> '1.000000000000000000000000000000000E+38' Inexact Rounded
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| 85 | dqsub067 subtract '10000e+34' '7000' -> '9.999999999999999999999999999999999E+37' Inexact Rounded
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| 86 | dqsub068 subtract '10000e+34' '70000' -> '9.999999999999999999999999999999993E+37' Rounded
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| 87 | dqsub069 subtract '10000e+34' '700000' -> '9.999999999999999999999999999999930E+37' Rounded
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| 88 |
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| 89 | -- some of the next group are really constructor tests
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| 90 | dqsub090 subtract '00.0' '0.0' -> '0.0'
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| 91 | dqsub091 subtract '00.0' '0.00' -> '0.00'
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| 92 | dqsub092 subtract '0.00' '00.0' -> '0.00'
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| 93 | dqsub093 subtract '00.0' '0.00' -> '0.00'
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| 94 | dqsub094 subtract '0.00' '00.0' -> '0.00'
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| 95 | dqsub095 subtract '3' '.3' -> '2.7'
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| 96 | dqsub096 subtract '3.' '.3' -> '2.7'
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| 97 | dqsub097 subtract '3.0' '.3' -> '2.7'
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| 98 | dqsub098 subtract '3.00' '.3' -> '2.70'
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| 99 | dqsub099 subtract '3' '3' -> '0'
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| 100 | dqsub100 subtract '3' '+3' -> '0'
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| 101 | dqsub101 subtract '3' '-3' -> '6'
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| 102 | dqsub102 subtract '3' '0.3' -> '2.7'
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| 103 | dqsub103 subtract '3.' '0.3' -> '2.7'
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| 104 | dqsub104 subtract '3.0' '0.3' -> '2.7'
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| 105 | dqsub105 subtract '3.00' '0.3' -> '2.70'
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| 106 | dqsub106 subtract '3' '3.0' -> '0.0'
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| 107 | dqsub107 subtract '3' '+3.0' -> '0.0'
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| 108 | dqsub108 subtract '3' '-3.0' -> '6.0'
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| 109 |
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| 110 | -- the above all from add; massaged and extended. Now some new ones...
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| 111 | -- [particularly important for comparisons]
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| 112 | -- NB: -xE-8 below were non-exponents pre-ANSI X3-274, and -1E-7 or 0E-7
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| 113 | -- with input rounding.
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| 114 | dqsub120 subtract '10.23456784' '10.23456789' -> '-5E-8'
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| 115 | dqsub121 subtract '10.23456785' '10.23456789' -> '-4E-8'
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| 116 | dqsub122 subtract '10.23456786' '10.23456789' -> '-3E-8'
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| 117 | dqsub123 subtract '10.23456787' '10.23456789' -> '-2E-8'
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| 118 | dqsub124 subtract '10.23456788' '10.23456789' -> '-1E-8'
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| 119 | dqsub125 subtract '10.23456789' '10.23456789' -> '0E-8'
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| 120 | dqsub126 subtract '10.23456790' '10.23456789' -> '1E-8'
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| 121 | dqsub127 subtract '10.23456791' '10.23456789' -> '2E-8'
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| 122 | dqsub128 subtract '10.23456792' '10.23456789' -> '3E-8'
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| 123 | dqsub129 subtract '10.23456793' '10.23456789' -> '4E-8'
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| 124 | dqsub130 subtract '10.23456794' '10.23456789' -> '5E-8'
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| 125 | dqsub131 subtract '10.23456781' '10.23456786' -> '-5E-8'
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| 126 | dqsub132 subtract '10.23456782' '10.23456786' -> '-4E-8'
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| 127 | dqsub133 subtract '10.23456783' '10.23456786' -> '-3E-8'
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| 128 | dqsub134 subtract '10.23456784' '10.23456786' -> '-2E-8'
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| 129 | dqsub135 subtract '10.23456785' '10.23456786' -> '-1E-8'
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| 130 | dqsub136 subtract '10.23456786' '10.23456786' -> '0E-8'
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| 131 | dqsub137 subtract '10.23456787' '10.23456786' -> '1E-8'
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| 132 | dqsub138 subtract '10.23456788' '10.23456786' -> '2E-8'
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| 133 | dqsub139 subtract '10.23456789' '10.23456786' -> '3E-8'
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| 134 | dqsub140 subtract '10.23456790' '10.23456786' -> '4E-8'
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| 135 | dqsub141 subtract '10.23456791' '10.23456786' -> '5E-8'
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| 136 | dqsub142 subtract '1' '0.999999999' -> '1E-9'
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| 137 | dqsub143 subtract '0.999999999' '1' -> '-1E-9'
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| 138 | dqsub144 subtract '-10.23456780' '-10.23456786' -> '6E-8'
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| 139 | dqsub145 subtract '-10.23456790' '-10.23456786' -> '-4E-8'
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| 140 | dqsub146 subtract '-10.23456791' '-10.23456786' -> '-5E-8'
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| 141 |
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| 142 | -- additional scaled arithmetic tests [0.97 problem]
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| 143 | dqsub160 subtract '0' '.1' -> '-0.1'
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| 144 | dqsub161 subtract '00' '.97983' -> '-0.97983'
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| 145 | dqsub162 subtract '0' '.9' -> '-0.9'
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| 146 | dqsub163 subtract '0' '0.102' -> '-0.102'
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| 147 | dqsub164 subtract '0' '.4' -> '-0.4'
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| 148 | dqsub165 subtract '0' '.307' -> '-0.307'
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| 149 | dqsub166 subtract '0' '.43822' -> '-0.43822'
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| 150 | dqsub167 subtract '0' '.911' -> '-0.911'
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| 151 | dqsub168 subtract '.0' '.02' -> '-0.02'
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| 152 | dqsub169 subtract '00' '.392' -> '-0.392'
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| 153 | dqsub170 subtract '0' '.26' -> '-0.26'
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| 154 | dqsub171 subtract '0' '0.51' -> '-0.51'
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| 155 | dqsub172 subtract '0' '.2234' -> '-0.2234'
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| 156 | dqsub173 subtract '0' '.2' -> '-0.2'
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| 157 | dqsub174 subtract '.0' '.0008' -> '-0.0008'
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| 158 | -- 0. on left
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| 159 | dqsub180 subtract '0.0' '-.1' -> '0.1'
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| 160 | dqsub181 subtract '0.00' '-.97983' -> '0.97983'
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| 161 | dqsub182 subtract '0.0' '-.9' -> '0.9'
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| 162 | dqsub183 subtract '0.0' '-0.102' -> '0.102'
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| 163 | dqsub184 subtract '0.0' '-.4' -> '0.4'
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| 164 | dqsub185 subtract '0.0' '-.307' -> '0.307'
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| 165 | dqsub186 subtract '0.0' '-.43822' -> '0.43822'
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| 166 | dqsub187 subtract '0.0' '-.911' -> '0.911'
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| 167 | dqsub188 subtract '0.0' '-.02' -> '0.02'
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| 168 | dqsub189 subtract '0.00' '-.392' -> '0.392'
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| 169 | dqsub190 subtract '0.0' '-.26' -> '0.26'
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| 170 | dqsub191 subtract '0.0' '-0.51' -> '0.51'
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| 171 | dqsub192 subtract '0.0' '-.2234' -> '0.2234'
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| 172 | dqsub193 subtract '0.0' '-.2' -> '0.2'
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| 173 | dqsub194 subtract '0.0' '-.0008' -> '0.0008'
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| 174 | -- negatives of same
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| 175 | dqsub200 subtract '0' '-.1' -> '0.1'
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| 176 | dqsub201 subtract '00' '-.97983' -> '0.97983'
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| 177 | dqsub202 subtract '0' '-.9' -> '0.9'
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| 178 | dqsub203 subtract '0' '-0.102' -> '0.102'
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| 179 | dqsub204 subtract '0' '-.4' -> '0.4'
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| 180 | dqsub205 subtract '0' '-.307' -> '0.307'
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| 181 | dqsub206 subtract '0' '-.43822' -> '0.43822'
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| 182 | dqsub207 subtract '0' '-.911' -> '0.911'
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| 183 | dqsub208 subtract '.0' '-.02' -> '0.02'
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| 184 | dqsub209 subtract '00' '-.392' -> '0.392'
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| 185 | dqsub210 subtract '0' '-.26' -> '0.26'
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| 186 | dqsub211 subtract '0' '-0.51' -> '0.51'
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| 187 | dqsub212 subtract '0' '-.2234' -> '0.2234'
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| 188 | dqsub213 subtract '0' '-.2' -> '0.2'
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| 189 | dqsub214 subtract '.0' '-.0008' -> '0.0008'
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| 190 |
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| 191 | -- more fixed, LHS swaps [really the same as testcases under add]
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| 192 | dqsub220 subtract '-56267E-12' 0 -> '-5.6267E-8'
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| 193 | dqsub221 subtract '-56267E-11' 0 -> '-5.6267E-7'
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| 194 | dqsub222 subtract '-56267E-10' 0 -> '-0.0000056267'
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| 195 | dqsub223 subtract '-56267E-9' 0 -> '-0.000056267'
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| 196 | dqsub224 subtract '-56267E-8' 0 -> '-0.00056267'
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| 197 | dqsub225 subtract '-56267E-7' 0 -> '-0.0056267'
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| 198 | dqsub226 subtract '-56267E-6' 0 -> '-0.056267'
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| 199 | dqsub227 subtract '-56267E-5' 0 -> '-0.56267'
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| 200 | dqsub228 subtract '-56267E-2' 0 -> '-562.67'
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| 201 | dqsub229 subtract '-56267E-1' 0 -> '-5626.7'
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| 202 | dqsub230 subtract '-56267E-0' 0 -> '-56267'
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| 203 | -- symmetry ...
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| 204 | dqsub240 subtract 0 '-56267E-12' -> '5.6267E-8'
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| 205 | dqsub241 subtract 0 '-56267E-11' -> '5.6267E-7'
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| 206 | dqsub242 subtract 0 '-56267E-10' -> '0.0000056267'
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| 207 | dqsub243 subtract 0 '-56267E-9' -> '0.000056267'
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| 208 | dqsub244 subtract 0 '-56267E-8' -> '0.00056267'
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| 209 | dqsub245 subtract 0 '-56267E-7' -> '0.0056267'
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| 210 | dqsub246 subtract 0 '-56267E-6' -> '0.056267'
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| 211 | dqsub247 subtract 0 '-56267E-5' -> '0.56267'
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| 212 | dqsub248 subtract 0 '-56267E-2' -> '562.67'
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| 213 | dqsub249 subtract 0 '-56267E-1' -> '5626.7'
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| 214 | dqsub250 subtract 0 '-56267E-0' -> '56267'
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| 215 |
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| 216 | -- now some more from the 'new' add
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| 217 | dqsub301 subtract '1.23456789' '1.00000000' -> '0.23456789'
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| 218 | dqsub302 subtract '1.23456789' '1.00000011' -> '0.23456778'
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| 219 |
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| 220 | -- some carrying effects
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| 221 | dqsub321 subtract '0.9998' '0.0000' -> '0.9998'
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| 222 | dqsub322 subtract '0.9998' '0.0001' -> '0.9997'
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| 223 | dqsub323 subtract '0.9998' '0.0002' -> '0.9996'
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| 224 | dqsub324 subtract '0.9998' '0.0003' -> '0.9995'
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| 225 | dqsub325 subtract '0.9998' '-0.0000' -> '0.9998'
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| 226 | dqsub326 subtract '0.9998' '-0.0001' -> '0.9999'
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| 227 | dqsub327 subtract '0.9998' '-0.0002' -> '1.0000'
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| 228 | dqsub328 subtract '0.9998' '-0.0003' -> '1.0001'
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| 229 |
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| 230 | -- internal boundaries
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| 231 | dqsub346 subtract '10000e+9' '7' -> '9999999999993'
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| 232 | dqsub347 subtract '10000e+9' '70' -> '9999999999930'
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| 233 | dqsub348 subtract '10000e+9' '700' -> '9999999999300'
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| 234 | dqsub349 subtract '10000e+9' '7000' -> '9999999993000'
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| 235 | dqsub350 subtract '10000e+9' '70000' -> '9999999930000'
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| 236 | dqsub351 subtract '10000e+9' '700000' -> '9999999300000'
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| 237 | dqsub352 subtract '7' '10000e+9' -> '-9999999999993'
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| 238 | dqsub353 subtract '70' '10000e+9' -> '-9999999999930'
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| 239 | dqsub354 subtract '700' '10000e+9' -> '-9999999999300'
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| 240 | dqsub355 subtract '7000' '10000e+9' -> '-9999999993000'
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| 241 | dqsub356 subtract '70000' '10000e+9' -> '-9999999930000'
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| 242 | dqsub357 subtract '700000' '10000e+9' -> '-9999999300000'
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| 243 |
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| 244 | -- zero preservation
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| 245 | dqsub361 subtract 1 '0.0001' -> '0.9999'
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| 246 | dqsub362 subtract 1 '0.00001' -> '0.99999'
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| 247 | dqsub363 subtract 1 '0.000001' -> '0.999999'
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| 248 | dqsub364 subtract 1 '0.0000000000000000000000000000000001' -> '0.9999999999999999999999999999999999'
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| 249 | dqsub365 subtract 1 '0.00000000000000000000000000000000001' -> '1.000000000000000000000000000000000' Inexact Rounded
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| 250 | dqsub366 subtract 1 '0.000000000000000000000000000000000001' -> '1.000000000000000000000000000000000' Inexact Rounded
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| 251 |
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| 252 | -- some funny zeros [in case of bad signum]
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| 253 | dqsub370 subtract 1 0 -> 1
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| 254 | dqsub371 subtract 1 0. -> 1
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| 255 | dqsub372 subtract 1 .0 -> 1.0
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| 256 | dqsub373 subtract 1 0.0 -> 1.0
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| 257 | dqsub374 subtract 0 1 -> -1
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| 258 | dqsub375 subtract 0. 1 -> -1
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| 259 | dqsub376 subtract .0 1 -> -1.0
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| 260 | dqsub377 subtract 0.0 1 -> -1.0
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| 261 |
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| 262 | -- leading 0 digit before round
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| 263 | dqsub910 subtract -103519362 -51897955.3 -> -51621406.7
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| 264 | dqsub911 subtract 159579.444 89827.5229 -> 69751.9211
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| 265 |
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| 266 | dqsub920 subtract 333.0000000000000000000000000123456 33.00000000000000000000000001234566 -> 299.9999999999999999999999999999999 Inexact Rounded
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| 267 | dqsub921 subtract 333.0000000000000000000000000123456 33.00000000000000000000000001234565 -> 300.0000000000000000000000000000000 Inexact Rounded
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| 268 | dqsub922 subtract 133.0000000000000000000000000123456 33.00000000000000000000000001234565 -> 99.99999999999999999999999999999995
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| 269 | dqsub923 subtract 133.0000000000000000000000000123456 33.00000000000000000000000001234564 -> 99.99999999999999999999999999999996
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| 270 | dqsub924 subtract 133.0000000000000000000000000123456 33.00000000000000000000000001234540 -> 100.0000000000000000000000000000002 Rounded
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| 271 | dqsub925 subtract 133.0000000000000000000000000123456 43.00000000000000000000000001234560 -> 90.00000000000000000000000000000000
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| 272 | dqsub926 subtract 133.0000000000000000000000000123456 43.00000000000000000000000001234561 -> 89.99999999999999999999999999999999
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| 273 | dqsub927 subtract 133.0000000000000000000000000123456 43.00000000000000000000000001234566 -> 89.99999999999999999999999999999994
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| 274 | dqsub928 subtract 101.0000000000000000000000000123456 91.00000000000000000000000001234566 -> 9.99999999999999999999999999999994
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| 275 | dqsub929 subtract 101.0000000000000000000000000123456 99.00000000000000000000000001234566 -> 1.99999999999999999999999999999994
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| 276 |
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| 277 | -- more LHS swaps [were fixed]
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| 278 | dqsub390 subtract '-56267E-10' 0 -> '-0.0000056267'
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| 279 | dqsub391 subtract '-56267E-6' 0 -> '-0.056267'
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| 280 | dqsub392 subtract '-56267E-5' 0 -> '-0.56267'
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| 281 | dqsub393 subtract '-56267E-4' 0 -> '-5.6267'
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| 282 | dqsub394 subtract '-56267E-3' 0 -> '-56.267'
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| 283 | dqsub395 subtract '-56267E-2' 0 -> '-562.67'
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| 284 | dqsub396 subtract '-56267E-1' 0 -> '-5626.7'
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| 285 | dqsub397 subtract '-56267E-0' 0 -> '-56267'
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| 286 | dqsub398 subtract '-5E-10' 0 -> '-5E-10'
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| 287 | dqsub399 subtract '-5E-7' 0 -> '-5E-7'
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| 288 | dqsub400 subtract '-5E-6' 0 -> '-0.000005'
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| 289 | dqsub401 subtract '-5E-5' 0 -> '-0.00005'
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| 290 | dqsub402 subtract '-5E-4' 0 -> '-0.0005'
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| 291 | dqsub403 subtract '-5E-1' 0 -> '-0.5'
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| 292 | dqsub404 subtract '-5E0' 0 -> '-5'
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| 293 | dqsub405 subtract '-5E1' 0 -> '-50'
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| 294 | dqsub406 subtract '-5E5' 0 -> '-500000'
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| 295 | dqsub407 subtract '-5E33' 0 -> '-5000000000000000000000000000000000'
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| 296 | dqsub408 subtract '-5E34' 0 -> '-5.000000000000000000000000000000000E+34' Rounded
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| 297 | dqsub409 subtract '-5E35' 0 -> '-5.000000000000000000000000000000000E+35' Rounded
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| 298 | dqsub410 subtract '-5E36' 0 -> '-5.000000000000000000000000000000000E+36' Rounded
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| 299 | dqsub411 subtract '-5E100' 0 -> '-5.000000000000000000000000000000000E+100' Rounded
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| 300 |
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| 301 | -- more RHS swaps [were fixed]
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| 302 | dqsub420 subtract 0 '-56267E-10' -> '0.0000056267'
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| 303 | dqsub421 subtract 0 '-56267E-6' -> '0.056267'
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| 304 | dqsub422 subtract 0 '-56267E-5' -> '0.56267'
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| 305 | dqsub423 subtract 0 '-56267E-4' -> '5.6267'
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| 306 | dqsub424 subtract 0 '-56267E-3' -> '56.267'
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| 307 | dqsub425 subtract 0 '-56267E-2' -> '562.67'
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| 308 | dqsub426 subtract 0 '-56267E-1' -> '5626.7'
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| 309 | dqsub427 subtract 0 '-56267E-0' -> '56267'
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| 310 | dqsub428 subtract 0 '-5E-10' -> '5E-10'
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| 311 | dqsub429 subtract 0 '-5E-7' -> '5E-7'
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| 312 | dqsub430 subtract 0 '-5E-6' -> '0.000005'
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| 313 | dqsub431 subtract 0 '-5E-5' -> '0.00005'
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| 314 | dqsub432 subtract 0 '-5E-4' -> '0.0005'
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| 315 | dqsub433 subtract 0 '-5E-1' -> '0.5'
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| 316 | dqsub434 subtract 0 '-5E0' -> '5'
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| 317 | dqsub435 subtract 0 '-5E1' -> '50'
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| 318 | dqsub436 subtract 0 '-5E5' -> '500000'
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| 319 | dqsub437 subtract 0 '-5E33' -> '5000000000000000000000000000000000'
|
| 320 | dqsub438 subtract 0 '-5E34' -> '5.000000000000000000000000000000000E+34' Rounded
|
| 321 | dqsub439 subtract 0 '-5E35' -> '5.000000000000000000000000000000000E+35' Rounded
|
| 322 | dqsub440 subtract 0 '-5E36' -> '5.000000000000000000000000000000000E+36' Rounded
|
| 323 | dqsub441 subtract 0 '-5E100' -> '5.000000000000000000000000000000000E+100' Rounded
|
| 324 |
|
| 325 |
|
| 326 | -- try borderline precision, with carries, etc.
|
| 327 | dqsub461 subtract '1E+16' '1' -> '9999999999999999'
|
| 328 | dqsub462 subtract '1E+12' '-1.111' -> '1000000000001.111'
|
| 329 | dqsub463 subtract '1.111' '-1E+12' -> '1000000000001.111'
|
| 330 | dqsub464 subtract '-1' '-1E+16' -> '9999999999999999'
|
| 331 | dqsub465 subtract '7E+15' '1' -> '6999999999999999'
|
| 332 | dqsub466 subtract '7E+12' '-1.111' -> '7000000000001.111'
|
| 333 | dqsub467 subtract '1.111' '-7E+12' -> '7000000000001.111'
|
| 334 | dqsub468 subtract '-1' '-7E+15' -> '6999999999999999'
|
| 335 |
|
| 336 | -- 1234567890123456 1234567890123456 1 23456789012345
|
| 337 | dqsub470 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555563' -> '1.000000000000000000000000000000001' Inexact Rounded
|
| 338 | dqsub471 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555562' -> '1.000000000000000000000000000000001' Inexact Rounded
|
| 339 | dqsub472 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555561' -> '1.000000000000000000000000000000000' Inexact Rounded
|
| 340 | dqsub473 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555560' -> '1.000000000000000000000000000000000' Inexact Rounded
|
| 341 | dqsub474 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555559' -> '1.000000000000000000000000000000000' Inexact Rounded
|
| 342 | dqsub475 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555558' -> '1.000000000000000000000000000000000' Inexact Rounded
|
| 343 | dqsub476 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555557' -> '1.000000000000000000000000000000000' Inexact Rounded
|
| 344 | dqsub477 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555556' -> '1.000000000000000000000000000000000' Rounded
|
| 345 | dqsub478 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555555' -> '0.9999999999999999999999999999999999'
|
| 346 | dqsub479 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555554' -> '0.9999999999999999999999999999999998'
|
| 347 | dqsub480 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555553' -> '0.9999999999999999999999999999999997'
|
| 348 | dqsub481 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555552' -> '0.9999999999999999999999999999999996'
|
| 349 | dqsub482 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555551' -> '0.9999999999999999999999999999999995'
|
| 350 | dqsub483 subtract '0.4444444444444444444444444444444444' '-0.5555555555555555555555555555555550' -> '0.9999999999999999999999999999999994'
|
| 351 |
|
| 352 | -- and some more, including residue effects and different roundings
|
| 353 | rounding: half_up
|
| 354 | dqsub500 subtract '1231234555555555555555555567456789' 0 -> '1231234555555555555555555567456789'
|
| 355 | dqsub501 subtract '1231234555555555555555555567456789' 0.000000001 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 356 | dqsub502 subtract '1231234555555555555555555567456789' 0.000001 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 357 | dqsub503 subtract '1231234555555555555555555567456789' 0.1 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 358 | dqsub504 subtract '1231234555555555555555555567456789' 0.4 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 359 | dqsub505 subtract '1231234555555555555555555567456789' 0.49 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 360 | dqsub506 subtract '1231234555555555555555555567456789' 0.499999 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 361 | dqsub507 subtract '1231234555555555555555555567456789' 0.499999999 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 362 | dqsub508 subtract '1231234555555555555555555567456789' 0.5 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 363 | dqsub509 subtract '1231234555555555555555555567456789' 0.500000001 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 364 | dqsub510 subtract '1231234555555555555555555567456789' 0.500001 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 365 | dqsub511 subtract '1231234555555555555555555567456789' 0.51 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 366 | dqsub512 subtract '1231234555555555555555555567456789' 0.6 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 367 | dqsub513 subtract '1231234555555555555555555567456789' 0.9 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 368 | dqsub514 subtract '1231234555555555555555555567456789' 0.99999 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 369 | dqsub515 subtract '1231234555555555555555555567456789' 0.999999999 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 370 | dqsub516 subtract '1231234555555555555555555567456789' 1 -> '1231234555555555555555555567456788'
|
| 371 | dqsub517 subtract '1231234555555555555555555567456789' 1.000000001 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 372 | dqsub518 subtract '1231234555555555555555555567456789' 1.00001 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 373 | dqsub519 subtract '1231234555555555555555555567456789' 1.1 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 374 |
|
| 375 | rounding: half_even
|
| 376 | dqsub520 subtract '1231234555555555555555555567456789' 0 -> '1231234555555555555555555567456789'
|
| 377 | dqsub521 subtract '1231234555555555555555555567456789' 0.000000001 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 378 | dqsub522 subtract '1231234555555555555555555567456789' 0.000001 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 379 | dqsub523 subtract '1231234555555555555555555567456789' 0.1 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 380 | dqsub524 subtract '1231234555555555555555555567456789' 0.4 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 381 | dqsub525 subtract '1231234555555555555555555567456789' 0.49 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 382 | dqsub526 subtract '1231234555555555555555555567456789' 0.499999 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 383 | dqsub527 subtract '1231234555555555555555555567456789' 0.499999999 -> '1231234555555555555555555567456789' Inexact Rounded
|
| 384 | dqsub528 subtract '1231234555555555555555555567456789' 0.5 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 385 | dqsub529 subtract '1231234555555555555555555567456789' 0.500000001 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 386 | dqsub530 subtract '1231234555555555555555555567456789' 0.500001 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 387 | dqsub531 subtract '1231234555555555555555555567456789' 0.51 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 388 | dqsub532 subtract '1231234555555555555555555567456789' 0.6 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 389 | dqsub533 subtract '1231234555555555555555555567456789' 0.9 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 390 | dqsub534 subtract '1231234555555555555555555567456789' 0.99999 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 391 | dqsub535 subtract '1231234555555555555555555567456789' 0.999999999 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 392 | dqsub536 subtract '1231234555555555555555555567456789' 1 -> '1231234555555555555555555567456788'
|
| 393 | dqsub537 subtract '1231234555555555555555555567456789' 1.00000001 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 394 | dqsub538 subtract '1231234555555555555555555567456789' 1.00001 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 395 | dqsub539 subtract '1231234555555555555555555567456789' 1.1 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 396 | -- critical few with even bottom digit...
|
| 397 | dqsub540 subtract '1231234555555555555555555567456788' 0.499999999 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 398 | dqsub541 subtract '1231234555555555555555555567456788' 0.5 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 399 | dqsub542 subtract '1231234555555555555555555567456788' 0.500000001 -> '1231234555555555555555555567456787' Inexact Rounded
|
| 400 |
|
| 401 | rounding: down
|
| 402 | dqsub550 subtract '1231234555555555555555555567456789' 0 -> '1231234555555555555555555567456789'
|
| 403 | dqsub551 subtract '1231234555555555555555555567456789' 0.000000001 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 404 | dqsub552 subtract '1231234555555555555555555567456789' 0.000001 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 405 | dqsub553 subtract '1231234555555555555555555567456789' 0.1 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 406 | dqsub554 subtract '1231234555555555555555555567456789' 0.4 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 407 | dqsub555 subtract '1231234555555555555555555567456789' 0.49 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 408 | dqsub556 subtract '1231234555555555555555555567456789' 0.499999 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 409 | dqsub557 subtract '1231234555555555555555555567456789' 0.499999999 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 410 | dqsub558 subtract '1231234555555555555555555567456789' 0.5 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 411 | dqsub559 subtract '1231234555555555555555555567456789' 0.500000001 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 412 | dqsub560 subtract '1231234555555555555555555567456789' 0.500001 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 413 | dqsub561 subtract '1231234555555555555555555567456789' 0.51 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 414 | dqsub562 subtract '1231234555555555555555555567456789' 0.6 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 415 | dqsub563 subtract '1231234555555555555555555567456789' 0.9 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 416 | dqsub564 subtract '1231234555555555555555555567456789' 0.99999 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 417 | dqsub565 subtract '1231234555555555555555555567456789' 0.999999999 -> '1231234555555555555555555567456788' Inexact Rounded
|
| 418 | dqsub566 subtract '1231234555555555555555555567456789' 1 -> '1231234555555555555555555567456788'
|
| 419 | dqsub567 subtract '1231234555555555555555555567456789' 1.00000001 -> '1231234555555555555555555567456787' Inexact Rounded
|
| 420 | dqsub568 subtract '1231234555555555555555555567456789' 1.00001 -> '1231234555555555555555555567456787' Inexact Rounded
|
| 421 | dqsub569 subtract '1231234555555555555555555567456789' 1.1 -> '1231234555555555555555555567456787' Inexact Rounded
|
| 422 |
|
| 423 | -- symmetry...
|
| 424 | rounding: half_up
|
| 425 | dqsub600 subtract 0 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789'
|
| 426 | dqsub601 subtract 0.000000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 427 | dqsub602 subtract 0.000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 428 | dqsub603 subtract 0.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 429 | dqsub604 subtract 0.4 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 430 | dqsub605 subtract 0.49 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 431 | dqsub606 subtract 0.499999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 432 | dqsub607 subtract 0.499999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 433 | dqsub608 subtract 0.5 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 434 | dqsub609 subtract 0.500000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 435 | dqsub610 subtract 0.500001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 436 | dqsub611 subtract 0.51 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 437 | dqsub612 subtract 0.6 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 438 | dqsub613 subtract 0.9 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 439 | dqsub614 subtract 0.99999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 440 | dqsub615 subtract 0.999999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 441 | dqsub616 subtract 1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788'
|
| 442 | dqsub617 subtract 1.000000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 443 | dqsub618 subtract 1.00001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 444 | dqsub619 subtract 1.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 445 |
|
| 446 | rounding: half_even
|
| 447 | dqsub620 subtract 0 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789'
|
| 448 | dqsub621 subtract 0.000000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 449 | dqsub622 subtract 0.000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 450 | dqsub623 subtract 0.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 451 | dqsub624 subtract 0.4 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 452 | dqsub625 subtract 0.49 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 453 | dqsub626 subtract 0.499999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 454 | dqsub627 subtract 0.499999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789' Inexact Rounded
|
| 455 | dqsub628 subtract 0.5 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 456 | dqsub629 subtract 0.500000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 457 | dqsub630 subtract 0.500001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 458 | dqsub631 subtract 0.51 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 459 | dqsub632 subtract 0.6 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 460 | dqsub633 subtract 0.9 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 461 | dqsub634 subtract 0.99999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 462 | dqsub635 subtract 0.999999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 463 | dqsub636 subtract 1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788'
|
| 464 | dqsub637 subtract 1.00000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 465 | dqsub638 subtract 1.00001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 466 | dqsub639 subtract 1.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 467 | -- critical few with even bottom digit...
|
| 468 | dqsub640 subtract 0.499999999 '1231234555555555555555555567456788' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 469 | dqsub641 subtract 0.5 '1231234555555555555555555567456788' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 470 | dqsub642 subtract 0.500000001 '1231234555555555555555555567456788' -> '-1231234555555555555555555567456787' Inexact Rounded
|
| 471 |
|
| 472 | rounding: down
|
| 473 | dqsub650 subtract 0 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456789'
|
| 474 | dqsub651 subtract 0.000000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 475 | dqsub652 subtract 0.000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 476 | dqsub653 subtract 0.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 477 | dqsub654 subtract 0.4 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 478 | dqsub655 subtract 0.49 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 479 | dqsub656 subtract 0.499999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 480 | dqsub657 subtract 0.499999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 481 | dqsub658 subtract 0.5 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 482 | dqsub659 subtract 0.500000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 483 | dqsub660 subtract 0.500001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 484 | dqsub661 subtract 0.51 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 485 | dqsub662 subtract 0.6 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 486 | dqsub663 subtract 0.9 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 487 | dqsub664 subtract 0.99999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 488 | dqsub665 subtract 0.999999999 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788' Inexact Rounded
|
| 489 | dqsub666 subtract 1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456788'
|
| 490 | dqsub667 subtract 1.00000001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456787' Inexact Rounded
|
| 491 | dqsub668 subtract 1.00001 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456787' Inexact Rounded
|
| 492 | dqsub669 subtract 1.1 '1231234555555555555555555567456789' -> '-1231234555555555555555555567456787' Inexact Rounded
|
| 493 |
|
| 494 |
|
| 495 | -- lots of leading zeros in intermediate result, and showing effects of
|
| 496 | -- input rounding would have affected the following
|
| 497 | rounding: half_up
|
| 498 | dqsub670 subtract '1234567456789' '1234567456788.1' -> 0.9
|
| 499 | dqsub671 subtract '1234567456789' '1234567456788.9' -> 0.1
|
| 500 | dqsub672 subtract '1234567456789' '1234567456789.1' -> -0.1
|
| 501 | dqsub673 subtract '1234567456789' '1234567456789.5' -> -0.5
|
| 502 | dqsub674 subtract '1234567456789' '1234567456789.9' -> -0.9
|
| 503 |
|
| 504 | rounding: half_even
|
| 505 | dqsub680 subtract '1234567456789' '1234567456788.1' -> 0.9
|
| 506 | dqsub681 subtract '1234567456789' '1234567456788.9' -> 0.1
|
| 507 | dqsub682 subtract '1234567456789' '1234567456789.1' -> -0.1
|
| 508 | dqsub683 subtract '1234567456789' '1234567456789.5' -> -0.5
|
| 509 | dqsub684 subtract '1234567456789' '1234567456789.9' -> -0.9
|
| 510 |
|
| 511 | dqsub685 subtract '1234567456788' '1234567456787.1' -> 0.9
|
| 512 | dqsub686 subtract '1234567456788' '1234567456787.9' -> 0.1
|
| 513 | dqsub687 subtract '1234567456788' '1234567456788.1' -> -0.1
|
| 514 | dqsub688 subtract '1234567456788' '1234567456788.5' -> -0.5
|
| 515 | dqsub689 subtract '1234567456788' '1234567456788.9' -> -0.9
|
| 516 |
|
| 517 | rounding: down
|
| 518 | dqsub690 subtract '1234567456789' '1234567456788.1' -> 0.9
|
| 519 | dqsub691 subtract '1234567456789' '1234567456788.9' -> 0.1
|
| 520 | dqsub692 subtract '1234567456789' '1234567456789.1' -> -0.1
|
| 521 | dqsub693 subtract '1234567456789' '1234567456789.5' -> -0.5
|
| 522 | dqsub694 subtract '1234567456789' '1234567456789.9' -> -0.9
|
| 523 |
|
| 524 | -- Specials
|
| 525 | dqsub780 subtract -Inf Inf -> -Infinity
|
| 526 | dqsub781 subtract -Inf 1000 -> -Infinity
|
| 527 | dqsub782 subtract -Inf 1 -> -Infinity
|
| 528 | dqsub783 subtract -Inf -0 -> -Infinity
|
| 529 | dqsub784 subtract -Inf -1 -> -Infinity
|
| 530 | dqsub785 subtract -Inf -1000 -> -Infinity
|
| 531 | dqsub787 subtract -1000 Inf -> -Infinity
|
| 532 | dqsub788 subtract -Inf Inf -> -Infinity
|
| 533 | dqsub789 subtract -1 Inf -> -Infinity
|
| 534 | dqsub790 subtract 0 Inf -> -Infinity
|
| 535 | dqsub791 subtract 1 Inf -> -Infinity
|
| 536 | dqsub792 subtract 1000 Inf -> -Infinity
|
| 537 |
|
| 538 | dqsub800 subtract Inf Inf -> NaN Invalid_operation
|
| 539 | dqsub801 subtract Inf 1000 -> Infinity
|
| 540 | dqsub802 subtract Inf 1 -> Infinity
|
| 541 | dqsub803 subtract Inf 0 -> Infinity
|
| 542 | dqsub804 subtract Inf -0 -> Infinity
|
| 543 | dqsub805 subtract Inf -1 -> Infinity
|
| 544 | dqsub806 subtract Inf -1000 -> Infinity
|
| 545 | dqsub807 subtract Inf -Inf -> Infinity
|
| 546 | dqsub808 subtract -1000 -Inf -> Infinity
|
| 547 | dqsub809 subtract -Inf -Inf -> NaN Invalid_operation
|
| 548 | dqsub810 subtract -1 -Inf -> Infinity
|
| 549 | dqsub811 subtract -0 -Inf -> Infinity
|
| 550 | dqsub812 subtract 0 -Inf -> Infinity
|
| 551 | dqsub813 subtract 1 -Inf -> Infinity
|
| 552 | dqsub814 subtract 1000 -Inf -> Infinity
|
| 553 | dqsub815 subtract Inf -Inf -> Infinity
|
| 554 |
|
| 555 | dqsub821 subtract NaN Inf -> NaN
|
| 556 | dqsub822 subtract -NaN 1000 -> -NaN
|
| 557 | dqsub823 subtract NaN 1 -> NaN
|
| 558 | dqsub824 subtract NaN 0 -> NaN
|
| 559 | dqsub825 subtract NaN -0 -> NaN
|
| 560 | dqsub826 subtract NaN -1 -> NaN
|
| 561 | dqsub827 subtract NaN -1000 -> NaN
|
| 562 | dqsub828 subtract NaN -Inf -> NaN
|
| 563 | dqsub829 subtract -NaN NaN -> -NaN
|
| 564 | dqsub830 subtract -Inf NaN -> NaN
|
| 565 | dqsub831 subtract -1000 NaN -> NaN
|
| 566 | dqsub832 subtract -1 NaN -> NaN
|
| 567 | dqsub833 subtract -0 NaN -> NaN
|
| 568 | dqsub834 subtract 0 NaN -> NaN
|
| 569 | dqsub835 subtract 1 NaN -> NaN
|
| 570 | dqsub836 subtract 1000 -NaN -> -NaN
|
| 571 | dqsub837 subtract Inf NaN -> NaN
|
| 572 |
|
| 573 | dqsub841 subtract sNaN Inf -> NaN Invalid_operation
|
| 574 | dqsub842 subtract -sNaN 1000 -> -NaN Invalid_operation
|
| 575 | dqsub843 subtract sNaN 1 -> NaN Invalid_operation
|
| 576 | dqsub844 subtract sNaN 0 -> NaN Invalid_operation
|
| 577 | dqsub845 subtract sNaN -0 -> NaN Invalid_operation
|
| 578 | dqsub846 subtract sNaN -1 -> NaN Invalid_operation
|
| 579 | dqsub847 subtract sNaN -1000 -> NaN Invalid_operation
|
| 580 | dqsub848 subtract sNaN NaN -> NaN Invalid_operation
|
| 581 | dqsub849 subtract sNaN sNaN -> NaN Invalid_operation
|
| 582 | dqsub850 subtract NaN sNaN -> NaN Invalid_operation
|
| 583 | dqsub851 subtract -Inf -sNaN -> -NaN Invalid_operation
|
| 584 | dqsub852 subtract -1000 sNaN -> NaN Invalid_operation
|
| 585 | dqsub853 subtract -1 sNaN -> NaN Invalid_operation
|
| 586 | dqsub854 subtract -0 sNaN -> NaN Invalid_operation
|
| 587 | dqsub855 subtract 0 sNaN -> NaN Invalid_operation
|
| 588 | dqsub856 subtract 1 sNaN -> NaN Invalid_operation
|
| 589 | dqsub857 subtract 1000 sNaN -> NaN Invalid_operation
|
| 590 | dqsub858 subtract Inf sNaN -> NaN Invalid_operation
|
| 591 | dqsub859 subtract NaN sNaN -> NaN Invalid_operation
|
| 592 |
|
| 593 | -- propagating NaNs
|
| 594 | dqsub861 subtract NaN01 -Inf -> NaN1
|
| 595 | dqsub862 subtract -NaN02 -1000 -> -NaN2
|
| 596 | dqsub863 subtract NaN03 1000 -> NaN3
|
| 597 | dqsub864 subtract NaN04 Inf -> NaN4
|
| 598 | dqsub865 subtract NaN05 NaN61 -> NaN5
|
| 599 | dqsub866 subtract -Inf -NaN71 -> -NaN71
|
| 600 | dqsub867 subtract -1000 NaN81 -> NaN81
|
| 601 | dqsub868 subtract 1000 NaN91 -> NaN91
|
| 602 | dqsub869 subtract Inf NaN101 -> NaN101
|
| 603 | dqsub871 subtract sNaN011 -Inf -> NaN11 Invalid_operation
|
| 604 | dqsub872 subtract sNaN012 -1000 -> NaN12 Invalid_operation
|
| 605 | dqsub873 subtract -sNaN013 1000 -> -NaN13 Invalid_operation
|
| 606 | dqsub874 subtract sNaN014 NaN171 -> NaN14 Invalid_operation
|
| 607 | dqsub875 subtract sNaN015 sNaN181 -> NaN15 Invalid_operation
|
| 608 | dqsub876 subtract NaN016 sNaN191 -> NaN191 Invalid_operation
|
| 609 | dqsub877 subtract -Inf sNaN201 -> NaN201 Invalid_operation
|
| 610 | dqsub878 subtract -1000 sNaN211 -> NaN211 Invalid_operation
|
| 611 | dqsub879 subtract 1000 -sNaN221 -> -NaN221 Invalid_operation
|
| 612 | dqsub880 subtract Inf sNaN231 -> NaN231 Invalid_operation
|
| 613 | dqsub881 subtract NaN025 sNaN241 -> NaN241 Invalid_operation
|
| 614 |
|
| 615 | -- edge case spills
|
| 616 | dqsub901 subtract 2.E-3 1.002 -> -1.000
|
| 617 | dqsub902 subtract 2.0E-3 1.002 -> -1.0000
|
| 618 | dqsub903 subtract 2.00E-3 1.0020 -> -1.00000
|
| 619 | dqsub904 subtract 2.000E-3 1.00200 -> -1.000000
|
| 620 | dqsub905 subtract 2.0000E-3 1.002000 -> -1.0000000
|
| 621 | dqsub906 subtract 2.00000E-3 1.0020000 -> -1.00000000
|
| 622 | dqsub907 subtract 2.000000E-3 1.00200000 -> -1.000000000
|
| 623 | dqsub908 subtract 2.0000000E-3 1.002000000 -> -1.0000000000
|
| 624 |
|
| 625 | -- subnormals and overflows covered under Add
|
| 626 |
|
| 627 | -- Examples from SQL proposal (Krishna Kulkarni)
|
| 628 | dqsub1125 subtract 130E-2 120E-2 -> 0.10
|
| 629 | dqsub1126 subtract 130E-2 12E-1 -> 0.10
|
| 630 | dqsub1127 subtract 130E-2 1E0 -> 0.30
|
| 631 | dqsub1128 subtract 1E2 1E4 -> -9.9E+3
|
| 632 |
|
| 633 | -- Null tests
|
| 634 | dqsub9990 subtract 10 # -> NaN Invalid_operation
|
| 635 | dqsub9991 subtract # 10 -> NaN Invalid_operation
|