| 1 | ------------------------------------------------------------------------
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| 2 | -- remainderNear.decTest -- decimal remainder-near (IEEE remainder) --
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| 3 | -- Copyright (c) IBM Corporation, 1981, 2008. All rights reserved. --
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| 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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| 20 | version: 2.59
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| 21 |
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| 22 | extended: 1
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| 23 | precision: 9
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| 24 | rounding: half_up
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| 25 | maxExponent: 384
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| 26 | minexponent: -383
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| 27 |
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| 28 | rmnx001 remaindernear 1 1 -> 0
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| 29 | rmnx002 remaindernear 2 1 -> 0
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| 30 | rmnx003 remaindernear 1 2 -> 1
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| 31 | rmnx004 remaindernear 2 2 -> 0
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| 32 | rmnx005 remaindernear 0 1 -> 0
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| 33 | rmnx006 remaindernear 0 2 -> 0
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| 34 | rmnx007 remaindernear 1 3 -> 1
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| 35 | rmnx008 remaindernear 2 3 -> -1
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| 36 | rmnx009 remaindernear 3 3 -> 0
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| 37 |
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| 38 | rmnx010 remaindernear 2.4 1 -> 0.4
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| 39 | rmnx011 remaindernear 2.4 -1 -> 0.4
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| 40 | rmnx012 remaindernear -2.4 1 -> -0.4
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| 41 | rmnx013 remaindernear -2.4 -1 -> -0.4
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| 42 | rmnx014 remaindernear 2.40 1 -> 0.40
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| 43 | rmnx015 remaindernear 2.400 1 -> 0.400
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| 44 | rmnx016 remaindernear 2.4 2 -> 0.4
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| 45 | rmnx017 remaindernear 2.400 2 -> 0.400
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| 46 | rmnx018 remaindernear 2. 2 -> 0
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| 47 | rmnx019 remaindernear 20 20 -> 0
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| 48 |
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| 49 | rmnx020 remaindernear 187 187 -> 0
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| 50 | rmnx021 remaindernear 5 2 -> 1
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| 51 | rmnx022 remaindernear 5 2.0 -> 1.0
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| 52 | rmnx023 remaindernear 5 2.000 -> 1.000
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| 53 | rmnx024 remaindernear 5 0.200 -> 0.000
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| 54 | rmnx025 remaindernear 5 0.200 -> 0.000
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| 55 |
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| 56 | rmnx030 remaindernear 1 2 -> 1
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| 57 | rmnx031 remaindernear 1 4 -> 1
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| 58 | rmnx032 remaindernear 1 8 -> 1
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| 59 | rmnx033 remaindernear 1 16 -> 1
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| 60 | rmnx034 remaindernear 1 32 -> 1
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| 61 | rmnx035 remaindernear 1 64 -> 1
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| 62 | rmnx040 remaindernear 1 -2 -> 1
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| 63 | rmnx041 remaindernear 1 -4 -> 1
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| 64 | rmnx042 remaindernear 1 -8 -> 1
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| 65 | rmnx043 remaindernear 1 -16 -> 1
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| 66 | rmnx044 remaindernear 1 -32 -> 1
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| 67 | rmnx045 remaindernear 1 -64 -> 1
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| 68 | rmnx050 remaindernear -1 2 -> -1
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| 69 | rmnx051 remaindernear -1 4 -> -1
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| 70 | rmnx052 remaindernear -1 8 -> -1
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| 71 | rmnx053 remaindernear -1 16 -> -1
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| 72 | rmnx054 remaindernear -1 32 -> -1
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| 73 | rmnx055 remaindernear -1 64 -> -1
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| 74 | rmnx060 remaindernear -1 -2 -> -1
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| 75 | rmnx061 remaindernear -1 -4 -> -1
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| 76 | rmnx062 remaindernear -1 -8 -> -1
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| 77 | rmnx063 remaindernear -1 -16 -> -1
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| 78 | rmnx064 remaindernear -1 -32 -> -1
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| 79 | rmnx065 remaindernear -1 -64 -> -1
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| 80 |
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| 81 | rmnx066 remaindernear 999999997 1 -> 0
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| 82 | rmnx067 remaindernear 999999997.4 1 -> 0.4
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| 83 | rmnx068 remaindernear 999999997.5 1 -> -0.5
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| 84 | rmnx069 remaindernear 999999997.9 1 -> -0.1
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| 85 | rmnx070 remaindernear 999999997.999 1 -> -0.001
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| 86 |
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| 87 | rmnx071 remaindernear 999999998 1 -> 0
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| 88 | rmnx072 remaindernear 999999998.4 1 -> 0.4
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| 89 | rmnx073 remaindernear 999999998.5 1 -> 0.5
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| 90 | rmnx074 remaindernear 999999998.9 1 -> -0.1
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| 91 | rmnx075 remaindernear 999999998.999 1 -> -0.001
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| 92 |
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| 93 | rmnx076 remaindernear 999999999 1 -> 0
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| 94 | rmnx077 remaindernear 999999999.4 1 -> 0.4
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| 95 | rmnx078 remaindernear 999999999.5 1 -> NaN Division_impossible
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| 96 | rmnx079 remaindernear 999999999.9 1 -> NaN Division_impossible
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| 97 | rmnx080 remaindernear 999999999.999 1 -> NaN Division_impossible
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| 98 |
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| 99 | precision: 6
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| 100 | rmnx081 remaindernear 999999999 1 -> NaN Division_impossible
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| 101 | rmnx082 remaindernear 99999999 1 -> NaN Division_impossible
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| 102 | rmnx083 remaindernear 9999999 1 -> NaN Division_impossible
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| 103 | rmnx084 remaindernear 999999 1 -> 0
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| 104 | rmnx085 remaindernear 99999 1 -> 0
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| 105 | rmnx086 remaindernear 9999 1 -> 0
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| 106 | rmnx087 remaindernear 999 1 -> 0
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| 107 | rmnx088 remaindernear 99 1 -> 0
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| 108 | rmnx089 remaindernear 9 1 -> 0
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| 109 |
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| 110 | precision: 9
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| 111 | rmnx090 remaindernear 0. 1 -> 0
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| 112 | rmnx091 remaindernear .0 1 -> 0.0
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| 113 | rmnx092 remaindernear 0.00 1 -> 0.00
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| 114 | rmnx093 remaindernear 0.00E+9 1 -> 0
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| 115 | rmnx094 remaindernear 0.0000E-50 1 -> 0E-54
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| 116 |
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| 117 |
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| 118 | -- Various flavours of remaindernear by 0
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| 119 | precision: 9
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| 120 | maxexponent: 999999999
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| 121 | minexponent: -999999999
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| 122 | rmnx101 remaindernear 0 0 -> NaN Division_undefined
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| 123 | rmnx102 remaindernear 0 -0 -> NaN Division_undefined
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| 124 | rmnx103 remaindernear -0 0 -> NaN Division_undefined
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| 125 | rmnx104 remaindernear -0 -0 -> NaN Division_undefined
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| 126 | rmnx105 remaindernear 0.0E5 0 -> NaN Division_undefined
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| 127 | rmnx106 remaindernear 0.000 0 -> NaN Division_undefined
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| 128 | -- [Some think this next group should be Division_by_zero exception,
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| 129 | -- but IEEE 854 is explicit that it is Invalid operation .. for
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| 130 | -- remaindernear-near, anyway]
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| 131 | rmnx107 remaindernear 0.0001 0 -> NaN Invalid_operation
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| 132 | rmnx108 remaindernear 0.01 0 -> NaN Invalid_operation
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| 133 | rmnx109 remaindernear 0.1 0 -> NaN Invalid_operation
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| 134 | rmnx110 remaindernear 1 0 -> NaN Invalid_operation
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| 135 | rmnx111 remaindernear 1 0.0 -> NaN Invalid_operation
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| 136 | rmnx112 remaindernear 10 0.0 -> NaN Invalid_operation
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| 137 | rmnx113 remaindernear 1E+100 0.0 -> NaN Invalid_operation
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| 138 | rmnx114 remaindernear 1E+1000 0 -> NaN Invalid_operation
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| 139 | rmnx115 remaindernear 0.0001 -0 -> NaN Invalid_operation
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| 140 | rmnx116 remaindernear 0.01 -0 -> NaN Invalid_operation
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| 141 | rmnx119 remaindernear 0.1 -0 -> NaN Invalid_operation
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| 142 | rmnx120 remaindernear 1 -0 -> NaN Invalid_operation
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| 143 | rmnx121 remaindernear 1 -0.0 -> NaN Invalid_operation
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| 144 | rmnx122 remaindernear 10 -0.0 -> NaN Invalid_operation
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| 145 | rmnx123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation
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| 146 | rmnx124 remaindernear 1E+1000 -0 -> NaN Invalid_operation
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| 147 | -- and zeros on left
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| 148 | rmnx130 remaindernear 0 1 -> 0
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| 149 | rmnx131 remaindernear 0 -1 -> 0
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| 150 | rmnx132 remaindernear 0.0 1 -> 0.0
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| 151 | rmnx133 remaindernear 0.0 -1 -> 0.0
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| 152 | rmnx134 remaindernear -0 1 -> -0
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| 153 | rmnx135 remaindernear -0 -1 -> -0
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| 154 | rmnx136 remaindernear -0.0 1 -> -0.0
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| 155 | rmnx137 remaindernear -0.0 -1 -> -0.0
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| 156 |
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| 157 | -- 0.5ers
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| 158 | rmmx143 remaindernear 0.5 2 -> 0.5
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| 159 | rmmx144 remaindernear 0.5 2.1 -> 0.5
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| 160 | rmmx145 remaindernear 0.5 2.01 -> 0.50
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| 161 | rmmx146 remaindernear 0.5 2.001 -> 0.500
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| 162 | rmmx147 remaindernear 0.50 2 -> 0.50
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| 163 | rmmx148 remaindernear 0.50 2.01 -> 0.50
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| 164 | rmmx149 remaindernear 0.50 2.001 -> 0.500
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| 165 |
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| 166 | -- some differences from remainder
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| 167 | rmnx150 remaindernear 0.4 1.020 -> 0.400
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| 168 | rmnx151 remaindernear 0.50 1.020 -> 0.500
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| 169 | rmnx152 remaindernear 0.51 1.020 -> 0.510
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| 170 | rmnx153 remaindernear 0.52 1.020 -> -0.500
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| 171 | rmnx154 remaindernear 0.6 1.020 -> -0.420
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| 172 | rmnx155 remaindernear 0.49 1 -> 0.49
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| 173 | rmnx156 remaindernear 0.50 1 -> 0.50
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| 174 | rmnx157 remaindernear 1.50 1 -> -0.50
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| 175 | rmnx158 remaindernear 2.50 1 -> 0.50
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| 176 | rmnx159 remaindernear 9.50 1 -> -0.50
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| 177 | rmnx160 remaindernear 0.51 1 -> -0.49
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| 178 |
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| 179 | -- the nasty division-by-1 cases
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| 180 | rmnx161 remaindernear 0.4 1 -> 0.4
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| 181 | rmnx162 remaindernear 0.45 1 -> 0.45
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| 182 | rmnx163 remaindernear 0.455 1 -> 0.455
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| 183 | rmnx164 remaindernear 0.4555 1 -> 0.4555
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| 184 | rmnx165 remaindernear 0.45555 1 -> 0.45555
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| 185 | rmnx166 remaindernear 0.455555 1 -> 0.455555
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| 186 | rmnx167 remaindernear 0.4555555 1 -> 0.4555555
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| 187 | rmnx168 remaindernear 0.45555555 1 -> 0.45555555
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| 188 | rmnx169 remaindernear 0.455555555 1 -> 0.455555555
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| 189 | -- with spill...
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| 190 | rmnx171 remaindernear 0.5 1 -> 0.5
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| 191 | rmnx172 remaindernear 0.55 1 -> -0.45
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| 192 | rmnx173 remaindernear 0.555 1 -> -0.445
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| 193 | rmnx174 remaindernear 0.5555 1 -> -0.4445
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| 194 | rmnx175 remaindernear 0.55555 1 -> -0.44445
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| 195 | rmnx176 remaindernear 0.555555 1 -> -0.444445
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| 196 | rmnx177 remaindernear 0.5555555 1 -> -0.4444445
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| 197 | rmnx178 remaindernear 0.55555555 1 -> -0.44444445
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| 198 | rmnx179 remaindernear 0.555555555 1 -> -0.444444445
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| 199 |
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| 200 | -- progression
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| 201 | rmnx180 remaindernear 1 1 -> 0
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| 202 | rmnx181 remaindernear 1 2 -> 1
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| 203 | rmnx182 remaindernear 1 3 -> 1
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| 204 | rmnx183 remaindernear 1 4 -> 1
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| 205 | rmnx184 remaindernear 1 5 -> 1
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| 206 | rmnx185 remaindernear 1 6 -> 1
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| 207 | rmnx186 remaindernear 1 7 -> 1
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| 208 | rmnx187 remaindernear 1 8 -> 1
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| 209 | rmnx188 remaindernear 1 9 -> 1
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| 210 | rmnx189 remaindernear 1 10 -> 1
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| 211 | rmnx190 remaindernear 1 1 -> 0
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| 212 | rmnx191 remaindernear 2 1 -> 0
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| 213 | rmnx192 remaindernear 3 1 -> 0
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| 214 | rmnx193 remaindernear 4 1 -> 0
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| 215 | rmnx194 remaindernear 5 1 -> 0
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| 216 | rmnx195 remaindernear 6 1 -> 0
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| 217 | rmnx196 remaindernear 7 1 -> 0
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| 218 | rmnx197 remaindernear 8 1 -> 0
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| 219 | rmnx198 remaindernear 9 1 -> 0
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| 220 | rmnx199 remaindernear 10 1 -> 0
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| 221 |
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| 222 |
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| 223 | -- Various flavours of remaindernear by 0
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| 224 | maxexponent: 999999999
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| 225 | minexponent: -999999999
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| 226 | rmnx201 remaindernear 0 0 -> NaN Division_undefined
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| 227 | rmnx202 remaindernear 0.0E5 0 -> NaN Division_undefined
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| 228 | rmnx203 remaindernear 0.000 0 -> NaN Division_undefined
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| 229 | rmnx204 remaindernear 0.0001 0 -> NaN Invalid_operation
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| 230 | rmnx205 remaindernear 0.01 0 -> NaN Invalid_operation
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| 231 | rmnx206 remaindernear 0.1 0 -> NaN Invalid_operation
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| 232 | rmnx207 remaindernear 1 0 -> NaN Invalid_operation
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| 233 | rmnx208 remaindernear 1 0.0 -> NaN Invalid_operation
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| 234 | rmnx209 remaindernear 10 0.0 -> NaN Invalid_operation
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| 235 | rmnx210 remaindernear 1E+100 0.0 -> NaN Invalid_operation
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| 236 | rmnx211 remaindernear 1E+1000 0 -> NaN Invalid_operation
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| 237 |
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| 238 | -- tests from the extended specification
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| 239 | rmnx221 remaindernear 2.1 3 -> -0.9
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| 240 | rmnx222 remaindernear 10 6 -> -2
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| 241 | rmnx223 remaindernear 10 3 -> 1
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| 242 | rmnx224 remaindernear -10 3 -> -1
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| 243 | rmnx225 remaindernear 10.2 1 -> 0.2
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| 244 | rmnx226 remaindernear 10 0.3 -> 0.1
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| 245 | rmnx227 remaindernear 3.6 1.3 -> -0.3
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| 246 |
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| 247 | -- some differences from remainder
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| 248 | rmnx231 remaindernear 0.4 1.020 -> 0.400
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| 249 | rmnx232 remaindernear 0.50 1.020 -> 0.500
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| 250 | rmnx233 remaindernear 0.51 1.020 -> 0.510
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| 251 | rmnx234 remaindernear 0.52 1.020 -> -0.500
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| 252 | rmnx235 remaindernear 0.6 1.020 -> -0.420
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| 253 |
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| 254 | -- test some cases that are close to exponent overflow
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| 255 | maxexponent: 999999999
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| 256 | minexponent: -999999999
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| 257 | rmnx270 remaindernear 1 1e999999999 -> 1
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| 258 | rmnx271 remaindernear 1 0.9e999999999 -> 1
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| 259 | rmnx272 remaindernear 1 0.99e999999999 -> 1
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| 260 | rmnx273 remaindernear 1 0.999999999e999999999 -> 1
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| 261 | rmnx274 remaindernear 9e999999999 1 -> NaN Division_impossible
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| 262 | rmnx275 remaindernear 9.9e999999999 1 -> NaN Division_impossible
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| 263 | rmnx276 remaindernear 9.99e999999999 1 -> NaN Division_impossible
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| 264 | rmnx277 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible
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| 265 |
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| 266 | rmnx280 remaindernear 0.1 9e-999999999 -> NaN Division_impossible
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| 267 | rmnx281 remaindernear 0.1 99e-999999999 -> NaN Division_impossible
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| 268 | rmnx282 remaindernear 0.1 999e-999999999 -> NaN Division_impossible
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| 269 |
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| 270 | rmnx283 remaindernear 0.1 9e-999999998 -> NaN Division_impossible
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| 271 | rmnx284 remaindernear 0.1 99e-999999998 -> NaN Division_impossible
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| 272 | rmnx285 remaindernear 0.1 999e-999999998 -> NaN Division_impossible
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| 273 | rmnx286 remaindernear 0.1 999e-999999997 -> NaN Division_impossible
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| 274 | rmnx287 remaindernear 0.1 9999e-999999997 -> NaN Division_impossible
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| 275 | rmnx288 remaindernear 0.1 99999e-999999997 -> NaN Division_impossible
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| 276 |
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| 277 | -- rmnx3xx are from DiagBigDecimal
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| 278 | rmnx301 remaindernear 1 3 -> 1
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| 279 | rmnx302 remaindernear 5 5 -> 0
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| 280 | rmnx303 remaindernear 13 10 -> 3
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| 281 | rmnx304 remaindernear 13 50 -> 13
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| 282 | rmnx305 remaindernear 13 100 -> 13
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| 283 | rmnx306 remaindernear 13 1000 -> 13
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| 284 | rmnx307 remaindernear .13 1 -> 0.13
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| 285 | rmnx308 remaindernear 0.133 1 -> 0.133
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| 286 | rmnx309 remaindernear 0.1033 1 -> 0.1033
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| 287 | rmnx310 remaindernear 1.033 1 -> 0.033
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| 288 | rmnx311 remaindernear 10.33 1 -> 0.33
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| 289 | rmnx312 remaindernear 10.33 10 -> 0.33
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| 290 | rmnx313 remaindernear 103.3 1 -> 0.3
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| 291 | rmnx314 remaindernear 133 10 -> 3
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| 292 | rmnx315 remaindernear 1033 10 -> 3
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| 293 | rmnx316 remaindernear 1033 50 -> -17
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| 294 | rmnx317 remaindernear 101.0 3 -> -1.0
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| 295 | rmnx318 remaindernear 102.0 3 -> 0.0
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| 296 | rmnx319 remaindernear 103.0 3 -> 1.0
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| 297 | rmnx320 remaindernear 2.40 1 -> 0.40
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| 298 | rmnx321 remaindernear 2.400 1 -> 0.400
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| 299 | rmnx322 remaindernear 2.4 1 -> 0.4
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| 300 | rmnx323 remaindernear 2.4 2 -> 0.4
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| 301 | rmnx324 remaindernear 2.400 2 -> 0.400
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| 302 | rmnx325 remaindernear 1 0.3 -> 0.1
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| 303 | rmnx326 remaindernear 1 0.30 -> 0.10
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| 304 | rmnx327 remaindernear 1 0.300 -> 0.100
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| 305 | rmnx328 remaindernear 1 0.3000 -> 0.1000
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| 306 | rmnx329 remaindernear 1.0 0.3 -> 0.1
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| 307 | rmnx330 remaindernear 1.00 0.3 -> 0.10
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| 308 | rmnx331 remaindernear 1.000 0.3 -> 0.100
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| 309 | rmnx332 remaindernear 1.0000 0.3 -> 0.1000
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| 310 | rmnx333 remaindernear 0.5 2 -> 0.5
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| 311 | rmnx334 remaindernear 0.5 2.1 -> 0.5
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| 312 | rmnx335 remaindernear 0.5 2.01 -> 0.50
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| 313 | rmnx336 remaindernear 0.5 2.001 -> 0.500
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| 314 | rmnx337 remaindernear 0.50 2 -> 0.50
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| 315 | rmnx338 remaindernear 0.50 2.01 -> 0.50
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| 316 | rmnx339 remaindernear 0.50 2.001 -> 0.500
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| 317 |
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| 318 | rmnx340 remaindernear 0.5 0.5000001 -> -1E-7
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| 319 | rmnx341 remaindernear 0.5 0.50000001 -> -1E-8
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| 320 | rmnx342 remaindernear 0.5 0.500000001 -> -1E-9
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| 321 | rmnx343 remaindernear 0.5 0.5000000001 -> -1E-10
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| 322 | rmnx344 remaindernear 0.5 0.50000000001 -> -1E-11
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| 323 | rmnx345 remaindernear 0.5 0.4999999 -> 1E-7
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| 324 | rmnx346 remaindernear 0.5 0.49999999 -> 1E-8
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| 325 | rmnx347 remaindernear 0.5 0.499999999 -> 1E-9
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| 326 | rmnx348 remaindernear 0.5 0.4999999999 -> 1E-10
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| 327 | rmnx349 remaindernear 0.5 0.49999999999 -> 1E-11
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| 328 |
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| 329 | rmnx350 remaindernear 0.03 7 -> 0.03
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| 330 | rmnx351 remaindernear 5 2 -> 1
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| 331 | rmnx352 remaindernear 4.1 2 -> 0.1
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| 332 | rmnx353 remaindernear 4.01 2 -> 0.01
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| 333 | rmnx354 remaindernear 4.001 2 -> 0.001
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| 334 | rmnx355 remaindernear 4.0001 2 -> 0.0001
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| 335 | rmnx356 remaindernear 4.00001 2 -> 0.00001
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| 336 | rmnx357 remaindernear 4.000001 2 -> 0.000001
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| 337 | rmnx358 remaindernear 4.0000001 2 -> 1E-7
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| 338 |
|
|---|
| 339 | rmnx360 remaindernear 1.2 0.7345 -> -0.2690
|
|---|
| 340 | rmnx361 remaindernear 0.8 12 -> 0.8
|
|---|
| 341 | rmnx362 remaindernear 0.8 0.2 -> 0.0
|
|---|
| 342 | rmnx363 remaindernear 0.8 0.3 -> -0.1
|
|---|
| 343 | rmnx364 remaindernear 0.800 12 -> 0.800
|
|---|
| 344 | rmnx365 remaindernear 0.800 1.7 -> 0.800
|
|---|
| 345 | rmnx366 remaindernear 2.400 2 -> 0.400
|
|---|
| 346 |
|
|---|
| 347 | precision: 6
|
|---|
| 348 | rmnx371 remaindernear 2.400 2 -> 0.400
|
|---|
| 349 | precision: 3
|
|---|
| 350 | rmnx372 remaindernear 12345678900000 12e+12 -> 3.46E+11 Inexact Rounded
|
|---|
| 351 |
|
|---|
| 352 | precision: 5
|
|---|
| 353 | rmnx381 remaindernear 12345 1 -> 0
|
|---|
| 354 | rmnx382 remaindernear 12345 1.0001 -> -0.2344
|
|---|
| 355 | rmnx383 remaindernear 12345 1.001 -> -0.333
|
|---|
| 356 | rmnx384 remaindernear 12345 1.01 -> -0.23
|
|---|
| 357 | rmnx385 remaindernear 12345 1.1 -> -0.3
|
|---|
| 358 | rmnx386 remaindernear 12355 4 -> -1
|
|---|
| 359 | rmnx387 remaindernear 12345 4 -> 1
|
|---|
| 360 | rmnx388 remaindernear 12355 4.0001 -> -1.3089
|
|---|
| 361 | rmnx389 remaindernear 12345 4.0001 -> 0.6914
|
|---|
| 362 | rmnx390 remaindernear 12345 4.9 -> 1.9
|
|---|
| 363 | rmnx391 remaindernear 12345 4.99 -> -0.26
|
|---|
| 364 | rmnx392 remaindernear 12345 4.999 -> 2.469
|
|---|
| 365 | rmnx393 remaindernear 12345 4.9999 -> 0.2469
|
|---|
| 366 | rmnx394 remaindernear 12345 5 -> 0
|
|---|
| 367 | rmnx395 remaindernear 12345 5.0001 -> -0.2469
|
|---|
| 368 | rmnx396 remaindernear 12345 5.001 -> -2.469
|
|---|
| 369 | rmnx397 remaindernear 12345 5.01 -> 0.36
|
|---|
| 370 | rmnx398 remaindernear 12345 5.1 -> -2.1
|
|---|
| 371 |
|
|---|
| 372 | precision: 9
|
|---|
| 373 | -- some nasty division-by-1 cases [some similar above]
|
|---|
| 374 | rmnx401 remaindernear 0.4 1 -> 0.4
|
|---|
| 375 | rmnx402 remaindernear 0.45 1 -> 0.45
|
|---|
| 376 | rmnx403 remaindernear 0.455 1 -> 0.455
|
|---|
| 377 | rmnx404 remaindernear 0.4555 1 -> 0.4555
|
|---|
| 378 | rmnx405 remaindernear 0.45555 1 -> 0.45555
|
|---|
| 379 | rmnx406 remaindernear 0.455555 1 -> 0.455555
|
|---|
| 380 | rmnx407 remaindernear 0.4555555 1 -> 0.4555555
|
|---|
| 381 | rmnx408 remaindernear 0.45555555 1 -> 0.45555555
|
|---|
| 382 | rmnx409 remaindernear 0.455555555 1 -> 0.455555555
|
|---|
| 383 |
|
|---|
| 384 | -- some tricky LHSs
|
|---|
| 385 | rmnx420 remaindernear 99999999.999999999 1E+8 -> -1E-9
|
|---|
| 386 | rmnx421 remaindernear 999999999.999999999 1E+9 -> -1E-9
|
|---|
| 387 | precision: 9
|
|---|
| 388 | rmnx430 remaindernear 0.455555555 1 -> 0.455555555
|
|---|
| 389 | precision: 8
|
|---|
| 390 | rmnx431 remaindernear 0.455555555 1 -> 0.45555556 Inexact Rounded
|
|---|
| 391 | precision: 7
|
|---|
| 392 | rmnx432 remaindernear 0.455555555 1 -> 0.4555556 Inexact Rounded
|
|---|
| 393 | precision: 6
|
|---|
| 394 | rmnx433 remaindernear 0.455555555 1 -> 0.455556 Inexact Rounded
|
|---|
| 395 | precision: 5
|
|---|
| 396 | rmnx434 remaindernear 0.455555555 1 -> 0.45556 Inexact Rounded
|
|---|
| 397 | precision: 4
|
|---|
| 398 | rmnx435 remaindernear 0.455555555 1 -> 0.4556 Inexact Rounded
|
|---|
| 399 | precision: 3
|
|---|
| 400 | rmnx436 remaindernear 0.455555555 1 -> 0.456 Inexact Rounded
|
|---|
| 401 | precision: 2
|
|---|
| 402 | rmnx437 remaindernear 0.455555555 1 -> 0.46 Inexact Rounded
|
|---|
| 403 | precision: 1
|
|---|
| 404 | rmnx438 remaindernear 0.455555555 1 -> 0.5 Inexact Rounded
|
|---|
| 405 |
|
|---|
| 406 | -- early tests; from text descriptions
|
|---|
| 407 | precision: 9
|
|---|
| 408 | rmnx601 remaindernear 10 6 -> -2
|
|---|
| 409 | rmnx602 remaindernear -10 6 -> 2
|
|---|
| 410 | rmnx603 remaindernear 11 3 -> -1
|
|---|
| 411 | rmnx604 remaindernear 11 5 -> 1
|
|---|
| 412 | rmnx605 remaindernear 7.7 8 -> -0.3
|
|---|
| 413 | rmnx606 remaindernear 31.5 3 -> 1.5 -- i=10
|
|---|
| 414 | rmnx607 remaindernear 34.5 3 -> -1.5 -- i=11
|
|---|
| 415 |
|
|---|
| 416 | -- zero signs
|
|---|
| 417 | rmnx650 remaindernear 1 1 -> 0
|
|---|
| 418 | rmnx651 remaindernear -1 1 -> -0
|
|---|
| 419 | rmnx652 remaindernear 1 -1 -> 0
|
|---|
| 420 | rmnx653 remaindernear -1 -1 -> -0
|
|---|
| 421 | rmnx654 remaindernear 0 1 -> 0
|
|---|
| 422 | rmnx655 remaindernear -0 1 -> -0
|
|---|
| 423 | rmnx656 remaindernear 0 -1 -> 0
|
|---|
| 424 | rmnx657 remaindernear -0 -1 -> -0
|
|---|
| 425 | rmnx658 remaindernear 0.00 1 -> 0.00
|
|---|
| 426 | rmnx659 remaindernear -0.00 1 -> -0.00
|
|---|
| 427 |
|
|---|
| 428 | -- Specials
|
|---|
| 429 | rmnx680 remaindernear Inf -Inf -> NaN Invalid_operation
|
|---|
| 430 | rmnx681 remaindernear Inf -1000 -> NaN Invalid_operation
|
|---|
| 431 | rmnx682 remaindernear Inf -1 -> NaN Invalid_operation
|
|---|
| 432 | rmnx683 remaindernear Inf 0 -> NaN Invalid_operation
|
|---|
| 433 | rmnx684 remaindernear Inf -0 -> NaN Invalid_operation
|
|---|
| 434 | rmnx685 remaindernear Inf 1 -> NaN Invalid_operation
|
|---|
| 435 | rmnx686 remaindernear Inf 1000 -> NaN Invalid_operation
|
|---|
| 436 | rmnx687 remaindernear Inf Inf -> NaN Invalid_operation
|
|---|
| 437 | rmnx688 remaindernear -1000 Inf -> -1000
|
|---|
| 438 | rmnx689 remaindernear -Inf Inf -> NaN Invalid_operation
|
|---|
| 439 | rmnx691 remaindernear -1 Inf -> -1
|
|---|
| 440 | rmnx692 remaindernear 0 Inf -> 0
|
|---|
| 441 | rmnx693 remaindernear -0 Inf -> -0
|
|---|
| 442 | rmnx694 remaindernear 1 Inf -> 1
|
|---|
| 443 | rmnx695 remaindernear 1000 Inf -> 1000
|
|---|
| 444 | rmnx696 remaindernear Inf Inf -> NaN Invalid_operation
|
|---|
| 445 |
|
|---|
| 446 | rmnx700 remaindernear -Inf -Inf -> NaN Invalid_operation
|
|---|
| 447 | rmnx701 remaindernear -Inf -1000 -> NaN Invalid_operation
|
|---|
| 448 | rmnx702 remaindernear -Inf -1 -> NaN Invalid_operation
|
|---|
| 449 | rmnx703 remaindernear -Inf -0 -> NaN Invalid_operation
|
|---|
| 450 | rmnx704 remaindernear -Inf 0 -> NaN Invalid_operation
|
|---|
| 451 | rmnx705 remaindernear -Inf 1 -> NaN Invalid_operation
|
|---|
| 452 | rmnx706 remaindernear -Inf 1000 -> NaN Invalid_operation
|
|---|
| 453 | rmnx707 remaindernear -Inf Inf -> NaN Invalid_operation
|
|---|
| 454 | rmnx708 remaindernear -Inf -Inf -> NaN Invalid_operation
|
|---|
| 455 | rmnx709 remaindernear -1000 Inf -> -1000
|
|---|
| 456 | rmnx710 remaindernear -1 -Inf -> -1
|
|---|
| 457 | rmnx711 remaindernear -0 -Inf -> -0
|
|---|
| 458 | rmnx712 remaindernear 0 -Inf -> 0
|
|---|
| 459 | rmnx713 remaindernear 1 -Inf -> 1
|
|---|
| 460 | rmnx714 remaindernear 1000 -Inf -> 1000
|
|---|
| 461 | rmnx715 remaindernear Inf -Inf -> NaN Invalid_operation
|
|---|
| 462 |
|
|---|
| 463 | rmnx721 remaindernear NaN -Inf -> NaN
|
|---|
| 464 | rmnx722 remaindernear NaN -1000 -> NaN
|
|---|
| 465 | rmnx723 remaindernear NaN -1 -> NaN
|
|---|
| 466 | rmnx724 remaindernear NaN -0 -> NaN
|
|---|
| 467 | rmnx725 remaindernear NaN 0 -> NaN
|
|---|
| 468 | rmnx726 remaindernear NaN 1 -> NaN
|
|---|
| 469 | rmnx727 remaindernear NaN 1000 -> NaN
|
|---|
| 470 | rmnx728 remaindernear NaN Inf -> NaN
|
|---|
| 471 | rmnx729 remaindernear NaN NaN -> NaN
|
|---|
| 472 | rmnx730 remaindernear -Inf NaN -> NaN
|
|---|
| 473 | rmnx731 remaindernear -1000 NaN -> NaN
|
|---|
| 474 | rmnx732 remaindernear -1 -NaN -> -NaN
|
|---|
| 475 | rmnx733 remaindernear -0 NaN -> NaN
|
|---|
| 476 | rmnx734 remaindernear 0 NaN -> NaN
|
|---|
| 477 | rmnx735 remaindernear 1 NaN -> NaN
|
|---|
| 478 | rmnx736 remaindernear 1000 NaN -> NaN
|
|---|
| 479 | rmnx737 remaindernear Inf NaN -> NaN
|
|---|
| 480 |
|
|---|
| 481 | rmnx741 remaindernear sNaN -Inf -> NaN Invalid_operation
|
|---|
| 482 | rmnx742 remaindernear sNaN -1000 -> NaN Invalid_operation
|
|---|
| 483 | rmnx743 remaindernear -sNaN -1 -> -NaN Invalid_operation
|
|---|
| 484 | rmnx744 remaindernear sNaN -0 -> NaN Invalid_operation
|
|---|
| 485 | rmnx745 remaindernear sNaN 0 -> NaN Invalid_operation
|
|---|
| 486 | rmnx746 remaindernear sNaN 1 -> NaN Invalid_operation
|
|---|
| 487 | rmnx747 remaindernear sNaN 1000 -> NaN Invalid_operation
|
|---|
| 488 | rmnx749 remaindernear sNaN NaN -> NaN Invalid_operation
|
|---|
| 489 | rmnx750 remaindernear sNaN sNaN -> NaN Invalid_operation
|
|---|
| 490 | rmnx751 remaindernear NaN sNaN -> NaN Invalid_operation
|
|---|
| 491 | rmnx752 remaindernear -Inf sNaN -> NaN Invalid_operation
|
|---|
| 492 | rmnx753 remaindernear -1000 sNaN -> NaN Invalid_operation
|
|---|
| 493 | rmnx754 remaindernear -1 sNaN -> NaN Invalid_operation
|
|---|
| 494 | rmnx755 remaindernear -0 -sNaN -> -NaN Invalid_operation
|
|---|
| 495 | rmnx756 remaindernear 0 sNaN -> NaN Invalid_operation
|
|---|
| 496 | rmnx757 remaindernear 1 sNaN -> NaN Invalid_operation
|
|---|
| 497 | rmnx758 remaindernear 1000 sNaN -> NaN Invalid_operation
|
|---|
| 498 | rmnx759 remaindernear Inf sNaN -> NaN Invalid_operation
|
|---|
| 499 | rmnx760 remaindernear NaN sNaN -> NaN Invalid_operation
|
|---|
| 500 |
|
|---|
| 501 | -- propaging NaNs
|
|---|
| 502 | rmnx761 remaindernear NaN1 NaN7 -> NaN1
|
|---|
| 503 | rmnx762 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation
|
|---|
| 504 | rmnx763 remaindernear NaN3 -sNaN9 -> -NaN9 Invalid_operation
|
|---|
| 505 | rmnx764 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation
|
|---|
| 506 | rmnx765 remaindernear 15 NaN11 -> NaN11
|
|---|
| 507 | rmnx766 remaindernear NaN6 NaN12 -> NaN6
|
|---|
| 508 | rmnx767 remaindernear Inf -NaN13 -> -NaN13
|
|---|
| 509 | rmnx768 remaindernear NaN14 -Inf -> NaN14
|
|---|
| 510 | rmnx769 remaindernear 0 NaN15 -> NaN15
|
|---|
| 511 | rmnx770 remaindernear -NaN16 -0 -> -NaN16
|
|---|
| 512 |
|
|---|
| 513 | -- test some cases that are close to exponent overflow
|
|---|
| 514 | maxexponent: 999999999
|
|---|
| 515 | minexponent: -999999999
|
|---|
| 516 | rmnx780 remaindernear 1 1e999999999 -> 1
|
|---|
| 517 | rmnx781 remaindernear 1 0.9e999999999 -> 1
|
|---|
| 518 | rmnx782 remaindernear 1 0.99e999999999 -> 1
|
|---|
| 519 | rmnx783 remaindernear 1 0.999999999e999999999 -> 1
|
|---|
| 520 | rmnx784 remaindernear 9e999999999 1 -> NaN Division_impossible
|
|---|
| 521 | rmnx785 remaindernear 9.9e999999999 1 -> NaN Division_impossible
|
|---|
| 522 | rmnx786 remaindernear 9.99e999999999 1 -> NaN Division_impossible
|
|---|
| 523 | rmnx787 remaindernear 9.99999999e999999999 1 -> NaN Division_impossible
|
|---|
| 524 |
|
|---|
| 525 |
|
|---|
| 526 | -- overflow and underflow tests [from divide]
|
|---|
| 527 | precision: 9
|
|---|
| 528 | maxexponent: 999999999
|
|---|
| 529 | minexponent: -999999999
|
|---|
| 530 | rmnx790 remaindernear +1.23456789012345E-0 9E+999999999 -> 1.23456789 Inexact Rounded
|
|---|
| 531 | rmnx791 remaindernear 9E+999999999 +0.23456789012345E-0 -> NaN Division_impossible
|
|---|
| 532 | rmnx792 remaindernear +0.100 9E+999999999 -> 0.100
|
|---|
| 533 | rmnx793 remaindernear 9E-999999999 +9.100 -> 9E-999999999
|
|---|
| 534 | rmnx795 remaindernear -1.23456789012345E-0 9E+999999999 -> -1.23456789 Inexact Rounded
|
|---|
| 535 | rmnx796 remaindernear 9E+999999999 -0.83456789012345E-0 -> NaN Division_impossible
|
|---|
| 536 | rmnx797 remaindernear -0.100 9E+999999999 -> -0.100
|
|---|
| 537 | rmnx798 remaindernear 9E-999999999 -9.100 -> 9E-999999999
|
|---|
| 538 |
|
|---|
| 539 | -- long operands checks
|
|---|
| 540 | maxexponent: 999
|
|---|
| 541 | minexponent: -999
|
|---|
| 542 | precision: 9
|
|---|
| 543 | rmnx801 remaindernear 12345678000 100 -> 0
|
|---|
| 544 | rmnx802 remaindernear 1 12345678000 -> 1
|
|---|
| 545 | rmnx803 remaindernear 1234567800 10 -> 0
|
|---|
| 546 | rmnx804 remaindernear 1 1234567800 -> 1
|
|---|
| 547 | rmnx805 remaindernear 1234567890 10 -> 0
|
|---|
| 548 | rmnx806 remaindernear 1 1234567890 -> 1
|
|---|
| 549 | rmnx807 remaindernear 1234567891 10 -> 1
|
|---|
| 550 | rmnx808 remaindernear 1 1234567891 -> 1
|
|---|
| 551 | rmnx809 remaindernear 12345678901 100 -> 1
|
|---|
| 552 | rmnx810 remaindernear 1 12345678901 -> 1
|
|---|
| 553 | rmnx811 remaindernear 1234567896 10 -> -4
|
|---|
| 554 | rmnx812 remaindernear 1 1234567896 -> 1
|
|---|
| 555 |
|
|---|
| 556 | precision: 15
|
|---|
| 557 | rmnx841 remaindernear 12345678000 100 -> 0
|
|---|
| 558 | rmnx842 remaindernear 1 12345678000 -> 1
|
|---|
| 559 | rmnx843 remaindernear 1234567800 10 -> 0
|
|---|
| 560 | rmnx844 remaindernear 1 1234567800 -> 1
|
|---|
| 561 | rmnx845 remaindernear 1234567890 10 -> 0
|
|---|
| 562 | rmnx846 remaindernear 1 1234567890 -> 1
|
|---|
| 563 | rmnx847 remaindernear 1234567891 10 -> 1
|
|---|
| 564 | rmnx848 remaindernear 1 1234567891 -> 1
|
|---|
| 565 | rmnx849 remaindernear 12345678901 100 -> 1
|
|---|
| 566 | rmnx850 remaindernear 1 12345678901 -> 1
|
|---|
| 567 | rmnx851 remaindernear 1234567896 10 -> -4
|
|---|
| 568 | rmnx852 remaindernear 1 1234567896 -> 1
|
|---|
| 569 |
|
|---|
| 570 | -- Null tests
|
|---|
| 571 | rmnx900 remaindernear 10 # -> NaN Invalid_operation
|
|---|
| 572 | rmnx901 remaindernear # 10 -> NaN Invalid_operation
|
|---|
