| Thomas Wouters | 1b7f891 | 2007-09-19 03:06:30 +0000 | [diff] [blame] | 1 | ------------------------------------------------------------------------
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| 2 | -- dqRemainderNear.decTest -- decQuad remainder-near --
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| 3 | -- Copyright (c) IBM Corporation, 1981, 2007. 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: 2.56
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| 21 |
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| 22 | extended: 1
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| 23 | clamp: 1
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| 24 | precision: 34
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| 25 | maxExponent: 6144
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| 26 | minExponent: -6143
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| 27 | rounding: half_even
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| 28 |
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| 29 | -- sanity checks (as base, above)
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| 30 | dqrmn001 remaindernear 1 1 -> 0
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| 31 | dqrmn002 remaindernear 2 1 -> 0
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| 32 | dqrmn003 remaindernear 1 2 -> 1
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| 33 | dqrmn004 remaindernear 2 2 -> 0
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| 34 | dqrmn005 remaindernear 0 1 -> 0
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| 35 | dqrmn006 remaindernear 0 2 -> 0
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| 36 | dqrmn007 remaindernear 1 3 -> 1
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| 37 | dqrmn008 remaindernear 2 3 -> -1
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| 38 | dqrmn009 remaindernear 3 3 -> 0
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| 39 |
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| 40 | dqrmn010 remaindernear 2.4 1 -> 0.4
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| 41 | dqrmn011 remaindernear 2.4 -1 -> 0.4
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| 42 | dqrmn012 remaindernear -2.4 1 -> -0.4
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| 43 | dqrmn013 remaindernear -2.4 -1 -> -0.4
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| 44 | dqrmn014 remaindernear 2.40 1 -> 0.40
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| 45 | dqrmn015 remaindernear 2.400 1 -> 0.400
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| 46 | dqrmn016 remaindernear 2.4 2 -> 0.4
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| 47 | dqrmn017 remaindernear 2.400 2 -> 0.400
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| 48 | dqrmn018 remaindernear 2. 2 -> 0
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| 49 | dqrmn019 remaindernear 20 20 -> 0
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| 50 |
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| 51 | dqrmn020 remaindernear 187 187 -> 0
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| 52 | dqrmn021 remaindernear 5 2 -> 1
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| 53 | dqrmn022 remaindernear 5 2.0 -> 1.0
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| 54 | dqrmn023 remaindernear 5 2.000 -> 1.000
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| 55 | dqrmn024 remaindernear 5 0.200 -> 0.000
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| 56 | dqrmn025 remaindernear 5 0.200 -> 0.000
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| 57 |
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| 58 | dqrmn030 remaindernear 1 2 -> 1
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| 59 | dqrmn031 remaindernear 1 4 -> 1
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| 60 | dqrmn032 remaindernear 1 8 -> 1
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| 61 |
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| 62 | dqrmn033 remaindernear 1 16 -> 1
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| 63 | dqrmn034 remaindernear 1 32 -> 1
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| 64 | dqrmn035 remaindernear 1 64 -> 1
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| 65 | dqrmn040 remaindernear 1 -2 -> 1
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| 66 | dqrmn041 remaindernear 1 -4 -> 1
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| 67 | dqrmn042 remaindernear 1 -8 -> 1
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| 68 | dqrmn043 remaindernear 1 -16 -> 1
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| 69 | dqrmn044 remaindernear 1 -32 -> 1
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| 70 | dqrmn045 remaindernear 1 -64 -> 1
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| 71 | dqrmn050 remaindernear -1 2 -> -1
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| 72 | dqrmn051 remaindernear -1 4 -> -1
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| 73 | dqrmn052 remaindernear -1 8 -> -1
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| 74 | dqrmn053 remaindernear -1 16 -> -1
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| 75 | dqrmn054 remaindernear -1 32 -> -1
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| 76 | dqrmn055 remaindernear -1 64 -> -1
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| 77 | dqrmn060 remaindernear -1 -2 -> -1
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| 78 | dqrmn061 remaindernear -1 -4 -> -1
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| 79 | dqrmn062 remaindernear -1 -8 -> -1
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| 80 | dqrmn063 remaindernear -1 -16 -> -1
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| 81 | dqrmn064 remaindernear -1 -32 -> -1
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| 82 | dqrmn065 remaindernear -1 -64 -> -1
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| 83 |
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| 84 | dqrmn066 remaindernear 9.9 1 -> -0.1
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| 85 | dqrmn067 remaindernear 99.7 1 -> -0.3
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| 86 | dqrmn068 remaindernear 999999999 1 -> 0
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| 87 | dqrmn069 remaindernear 999999999.4 1 -> 0.4
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| 88 | dqrmn070 remaindernear 999999999.5 1 -> -0.5
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| 89 | dqrmn071 remaindernear 999999999.9 1 -> -0.1
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| 90 | dqrmn072 remaindernear 999999999.999 1 -> -0.001
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| 91 | dqrmn073 remaindernear 999999.999999 1 -> -0.000001
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| 92 | dqrmn074 remaindernear 9 1 -> 0
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| 93 | dqrmn075 remaindernear 9999999999999999 1 -> 0
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| 94 | dqrmn076 remaindernear 9999999999999999 2 -> -1
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| 95 | dqrmn077 remaindernear 9999999999999999 3 -> 0
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| 96 | dqrmn078 remaindernear 9999999999999999 4 -> -1
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| 97 |
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| 98 | dqrmn080 remaindernear 0. 1 -> 0
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| 99 | dqrmn081 remaindernear .0 1 -> 0.0
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| 100 | dqrmn082 remaindernear 0.00 1 -> 0.00
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| 101 | dqrmn083 remaindernear 0.00E+9 1 -> 0
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| 102 | dqrmn084 remaindernear 0.00E+3 1 -> 0
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| 103 | dqrmn085 remaindernear 0.00E+2 1 -> 0
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| 104 | dqrmn086 remaindernear 0.00E+1 1 -> 0.0
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| 105 | dqrmn087 remaindernear 0.00E+0 1 -> 0.00
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| 106 | dqrmn088 remaindernear 0.00E-0 1 -> 0.00
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| 107 | dqrmn089 remaindernear 0.00E-1 1 -> 0.000
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| 108 | dqrmn090 remaindernear 0.00E-2 1 -> 0.0000
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| 109 | dqrmn091 remaindernear 0.00E-3 1 -> 0.00000
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| 110 | dqrmn092 remaindernear 0.00E-4 1 -> 0.000000
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| 111 | dqrmn093 remaindernear 0.00E-5 1 -> 0E-7
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| 112 | dqrmn094 remaindernear 0.00E-6 1 -> 0E-8
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| 113 | dqrmn095 remaindernear 0.0000E-50 1 -> 0E-54
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| 114 |
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| 115 | -- Various flavours of remaindernear by 0
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| 116 | dqrmn101 remaindernear 0 0 -> NaN Division_undefined
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| 117 | dqrmn102 remaindernear 0 -0 -> NaN Division_undefined
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| 118 | dqrmn103 remaindernear -0 0 -> NaN Division_undefined
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| 119 | dqrmn104 remaindernear -0 -0 -> NaN Division_undefined
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| 120 | dqrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined
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| 121 | dqrmn106 remaindernear 0.000 0 -> NaN Division_undefined
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| 122 | -- [Some think this next group should be Division_by_zero exception, but
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| 123 | -- IEEE 854 is explicit that it is Invalid operation .. for
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| 124 | -- remainder-near, anyway]
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| 125 | dqrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation
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| 126 | dqrmn108 remaindernear 0.01 0 -> NaN Invalid_operation
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| 127 | dqrmn109 remaindernear 0.1 0 -> NaN Invalid_operation
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| 128 | dqrmn110 remaindernear 1 0 -> NaN Invalid_operation
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| 129 | dqrmn111 remaindernear 1 0.0 -> NaN Invalid_operation
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| 130 | dqrmn112 remaindernear 10 0.0 -> NaN Invalid_operation
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| 131 | dqrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation
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| 132 | dqrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation
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| 133 | dqrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation
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| 134 | dqrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation
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| 135 | dqrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation
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| 136 | dqrmn120 remaindernear 1 -0 -> NaN Invalid_operation
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| 137 | dqrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation
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| 138 | dqrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation
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| 139 | dqrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation
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| 140 | dqrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation
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| 141 | -- and zeros on left
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| 142 | dqrmn130 remaindernear 0 1 -> 0
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| 143 | dqrmn131 remaindernear 0 -1 -> 0
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| 144 | dqrmn132 remaindernear 0.0 1 -> 0.0
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| 145 | dqrmn133 remaindernear 0.0 -1 -> 0.0
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| 146 | dqrmn134 remaindernear -0 1 -> -0
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| 147 | dqrmn135 remaindernear -0 -1 -> -0
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| 148 | dqrmn136 remaindernear -0.0 1 -> -0.0
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| 149 | dqrmn137 remaindernear -0.0 -1 -> -0.0
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| 150 |
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| 151 | -- 0.5ers
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| 152 | dqrmn143 remaindernear 0.5 2 -> 0.5
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| 153 | dqrmn144 remaindernear 0.5 2.1 -> 0.5
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| 154 | dqrmn145 remaindernear 0.5 2.01 -> 0.50
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| 155 | dqrmn146 remaindernear 0.5 2.001 -> 0.500
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| 156 | dqrmn147 remaindernear 0.50 2 -> 0.50
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| 157 | dqrmn148 remaindernear 0.50 2.01 -> 0.50
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| 158 | dqrmn149 remaindernear 0.50 2.001 -> 0.500
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| 159 |
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| 160 | -- steadies
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| 161 | dqrmn150 remaindernear 1 1 -> 0
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| 162 | dqrmn151 remaindernear 1 2 -> 1
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| 163 | dqrmn152 remaindernear 1 3 -> 1
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| 164 | dqrmn153 remaindernear 1 4 -> 1
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| 165 | dqrmn154 remaindernear 1 5 -> 1
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| 166 | dqrmn155 remaindernear 1 6 -> 1
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| 167 | dqrmn156 remaindernear 1 7 -> 1
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| 168 | dqrmn157 remaindernear 1 8 -> 1
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| 169 | dqrmn158 remaindernear 1 9 -> 1
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| 170 | dqrmn159 remaindernear 1 10 -> 1
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| 171 | dqrmn160 remaindernear 1 1 -> 0
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| 172 | dqrmn161 remaindernear 2 1 -> 0
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| 173 | dqrmn162 remaindernear 3 1 -> 0
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| 174 | dqrmn163 remaindernear 4 1 -> 0
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| 175 | dqrmn164 remaindernear 5 1 -> 0
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| 176 | dqrmn165 remaindernear 6 1 -> 0
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| 177 | dqrmn166 remaindernear 7 1 -> 0
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| 178 | dqrmn167 remaindernear 8 1 -> 0
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| 179 | dqrmn168 remaindernear 9 1 -> 0
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| 180 | dqrmn169 remaindernear 10 1 -> 0
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| 181 |
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| 182 | -- some differences from remainder
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| 183 | dqrmn171 remaindernear 0.4 1.020 -> 0.400
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| 184 | dqrmn172 remaindernear 0.50 1.020 -> 0.500
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| 185 | dqrmn173 remaindernear 0.51 1.020 -> 0.510
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| 186 | dqrmn174 remaindernear 0.52 1.020 -> -0.500
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| 187 | dqrmn175 remaindernear 0.6 1.020 -> -0.420
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| 188 |
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| 189 | -- More flavours of remaindernear by 0
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| 190 | dqrmn201 remaindernear 0 0 -> NaN Division_undefined
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| 191 | dqrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined
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| 192 | dqrmn203 remaindernear 0.000 0 -> NaN Division_undefined
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| 193 | dqrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation
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| 194 | dqrmn205 remaindernear 0.01 0 -> NaN Invalid_operation
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| 195 | dqrmn206 remaindernear 0.1 0 -> NaN Invalid_operation
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| 196 | dqrmn207 remaindernear 1 0 -> NaN Invalid_operation
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| 197 | dqrmn208 remaindernear 1 0.0 -> NaN Invalid_operation
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| 198 | dqrmn209 remaindernear 10 0.0 -> NaN Invalid_operation
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| 199 | dqrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation
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| 200 | dqrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation
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| 201 |
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| 202 | -- tests from the extended specification
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| 203 | dqrmn221 remaindernear 2.1 3 -> -0.9
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| 204 | dqrmn222 remaindernear 10 6 -> -2
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| 205 | dqrmn223 remaindernear 10 3 -> 1
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| 206 | dqrmn224 remaindernear -10 3 -> -1
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| 207 | dqrmn225 remaindernear 10.2 1 -> 0.2
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| 208 | dqrmn226 remaindernear 10 0.3 -> 0.1
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| 209 | dqrmn227 remaindernear 3.6 1.3 -> -0.3
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| 210 |
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| 211 | -- some differences from remainder
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| 212 | dqrmn231 remaindernear -0.4 1.020 -> -0.400
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| 213 | dqrmn232 remaindernear -0.50 1.020 -> -0.500
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| 214 | dqrmn233 remaindernear -0.51 1.020 -> -0.510
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| 215 | dqrmn234 remaindernear -0.52 1.020 -> 0.500
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| 216 | dqrmn235 remaindernear -0.6 1.020 -> 0.420
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| 217 |
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| 218 | -- high Xs
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| 219 | dqrmn240 remaindernear 1E+2 1.00 -> 0.00
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| 220 |
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| 221 | -- dqrmn3xx are from DiagBigDecimal
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| 222 | dqrmn301 remaindernear 1 3 -> 1
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| 223 | dqrmn302 remaindernear 5 5 -> 0
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| 224 | dqrmn303 remaindernear 13 10 -> 3
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| 225 | dqrmn304 remaindernear 13 50 -> 13
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| 226 | dqrmn305 remaindernear 13 100 -> 13
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| 227 | dqrmn306 remaindernear 13 1000 -> 13
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| 228 | dqrmn307 remaindernear .13 1 -> 0.13
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| 229 | dqrmn308 remaindernear 0.133 1 -> 0.133
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| 230 | dqrmn309 remaindernear 0.1033 1 -> 0.1033
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| 231 | dqrmn310 remaindernear 1.033 1 -> 0.033
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| 232 | dqrmn311 remaindernear 10.33 1 -> 0.33
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| 233 | dqrmn312 remaindernear 10.33 10 -> 0.33
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| 234 | dqrmn313 remaindernear 103.3 1 -> 0.3
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| 235 | dqrmn314 remaindernear 133 10 -> 3
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| 236 | dqrmn315 remaindernear 1033 10 -> 3
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| 237 | dqrmn316 remaindernear 1033 50 -> -17
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| 238 | dqrmn317 remaindernear 101.0 3 -> -1.0
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| 239 | dqrmn318 remaindernear 102.0 3 -> 0.0
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| 240 | dqrmn319 remaindernear 103.0 3 -> 1.0
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| 241 | dqrmn320 remaindernear 2.40 1 -> 0.40
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| 242 | dqrmn321 remaindernear 2.400 1 -> 0.400
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| 243 | dqrmn322 remaindernear 2.4 1 -> 0.4
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| 244 | dqrmn323 remaindernear 2.4 2 -> 0.4
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| 245 | dqrmn324 remaindernear 2.400 2 -> 0.400
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| 246 | dqrmn325 remaindernear 1 0.3 -> 0.1
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| 247 | dqrmn326 remaindernear 1 0.30 -> 0.10
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| 248 | dqrmn327 remaindernear 1 0.300 -> 0.100
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| 249 | dqrmn328 remaindernear 1 0.3000 -> 0.1000
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| 250 | dqrmn329 remaindernear 1.0 0.3 -> 0.1
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| 251 | dqrmn330 remaindernear 1.00 0.3 -> 0.10
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| 252 | dqrmn331 remaindernear 1.000 0.3 -> 0.100
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| 253 | dqrmn332 remaindernear 1.0000 0.3 -> 0.1000
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| 254 | dqrmn333 remaindernear 0.5 2 -> 0.5
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| 255 | dqrmn334 remaindernear 0.5 2.1 -> 0.5
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| 256 | dqrmn335 remaindernear 0.5 2.01 -> 0.50
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| 257 | dqrmn336 remaindernear 0.5 2.001 -> 0.500
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| 258 | dqrmn337 remaindernear 0.50 2 -> 0.50
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| 259 | dqrmn338 remaindernear 0.50 2.01 -> 0.50
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| 260 | dqrmn339 remaindernear 0.50 2.001 -> 0.500
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| 261 |
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| 262 | dqrmn340 remaindernear 0.5 0.5000001 -> -1E-7
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| 263 | dqrmn341 remaindernear 0.5 0.50000001 -> -1E-8
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| 264 | dqrmn342 remaindernear 0.5 0.500000001 -> -1E-9
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| 265 | dqrmn343 remaindernear 0.5 0.5000000001 -> -1E-10
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| 266 | dqrmn344 remaindernear 0.5 0.50000000001 -> -1E-11
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| 267 | dqrmn345 remaindernear 0.5 0.4999999 -> 1E-7
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| 268 | dqrmn346 remaindernear 0.5 0.49999999 -> 1E-8
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| 269 | dqrmn347 remaindernear 0.5 0.499999999 -> 1E-9
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| 270 | dqrmn348 remaindernear 0.5 0.4999999999 -> 1E-10
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| 271 | dqrmn349 remaindernear 0.5 0.49999999999 -> 1E-11
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| 272 | dqrmn350 remaindernear 0.5 0.499999999999 -> 1E-12
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| 273 |
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| 274 | dqrmn351 remaindernear 0.03 7 -> 0.03
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| 275 | dqrmn352 remaindernear 5 2 -> 1
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| 276 | dqrmn353 remaindernear 4.1 2 -> 0.1
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| 277 | dqrmn354 remaindernear 4.01 2 -> 0.01
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| 278 | dqrmn355 remaindernear 4.001 2 -> 0.001
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| 279 | dqrmn356 remaindernear 4.0001 2 -> 0.0001
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| 280 | dqrmn357 remaindernear 4.00001 2 -> 0.00001
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| 281 | dqrmn358 remaindernear 4.000001 2 -> 0.000001
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| 282 | dqrmn359 remaindernear 4.0000001 2 -> 1E-7
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| 283 |
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| 284 | dqrmn360 remaindernear 1.2 0.7345 -> -0.2690
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| 285 | dqrmn361 remaindernear 0.8 12 -> 0.8
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| 286 | dqrmn362 remaindernear 0.8 0.2 -> 0.0
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| 287 | dqrmn363 remaindernear 0.8 0.3 -> -0.1
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| 288 | dqrmn364 remaindernear 0.800 12 -> 0.800
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| 289 | dqrmn365 remaindernear 0.800 1.7 -> 0.800
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| 290 | dqrmn366 remaindernear 2.400 2 -> 0.400
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| 291 |
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| 292 | -- round to even
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| 293 | dqrmn371 remaindernear 121 2 -> 1
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| 294 | dqrmn372 remaindernear 122 2 -> 0
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| 295 | dqrmn373 remaindernear 123 2 -> -1
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| 296 | dqrmn374 remaindernear 124 2 -> 0
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| 297 | dqrmn375 remaindernear 125 2 -> 1
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| 298 | dqrmn376 remaindernear 126 2 -> 0
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| 299 | dqrmn377 remaindernear 127 2 -> -1
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| 300 |
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| 301 | dqrmn381 remaindernear 12345 1 -> 0
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| 302 | dqrmn382 remaindernear 12345 1.0001 -> -0.2344
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| 303 | dqrmn383 remaindernear 12345 1.001 -> -0.333
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| 304 | dqrmn384 remaindernear 12345 1.01 -> -0.23
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| 305 | dqrmn385 remaindernear 12345 1.1 -> -0.3
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| 306 | dqrmn386 remaindernear 12355 4 -> -1
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| 307 | dqrmn387 remaindernear 12345 4 -> 1
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| 308 | dqrmn388 remaindernear 12355 4.0001 -> -1.3089
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| 309 | dqrmn389 remaindernear 12345 4.0001 -> 0.6914
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| 310 | dqrmn390 remaindernear 12345 4.9 -> 1.9
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| 311 | dqrmn391 remaindernear 12345 4.99 -> -0.26
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| 312 | dqrmn392 remaindernear 12345 4.999 -> 2.469
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| 313 | dqrmn393 remaindernear 12345 4.9999 -> 0.2469
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| 314 | dqrmn394 remaindernear 12345 5 -> 0
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| 315 | dqrmn395 remaindernear 12345 5.0001 -> -0.2469
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| 316 | dqrmn396 remaindernear 12345 5.001 -> -2.469
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| 317 | dqrmn397 remaindernear 12345 5.01 -> 0.36
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| 318 | dqrmn398 remaindernear 12345 5.1 -> -2.1
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| 319 |
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| 320 | -- the nasty division-by-1 cases
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| 321 | dqrmn401 remaindernear 0.4 1 -> 0.4
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| 322 | dqrmn402 remaindernear 0.45 1 -> 0.45
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| 323 | dqrmn403 remaindernear 0.455 1 -> 0.455
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| 324 | dqrmn404 remaindernear 0.4555 1 -> 0.4555
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| 325 | dqrmn405 remaindernear 0.45555 1 -> 0.45555
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| 326 | dqrmn406 remaindernear 0.455555 1 -> 0.455555
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| 327 | dqrmn407 remaindernear 0.4555555 1 -> 0.4555555
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| 328 | dqrmn408 remaindernear 0.45555555 1 -> 0.45555555
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| 329 | dqrmn409 remaindernear 0.455555555 1 -> 0.455555555
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| 330 | -- with spill... [412 exercises sticktab loop]
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| 331 | dqrmn411 remaindernear 0.5 1 -> 0.5
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| 332 | dqrmn412 remaindernear 0.55 1 -> -0.45
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| 333 | dqrmn413 remaindernear 0.555 1 -> -0.445
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| 334 | dqrmn414 remaindernear 0.5555 1 -> -0.4445
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| 335 | dqrmn415 remaindernear 0.55555 1 -> -0.44445
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| 336 | dqrmn416 remaindernear 0.555555 1 -> -0.444445
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| 337 | dqrmn417 remaindernear 0.5555555 1 -> -0.4444445
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| 338 | dqrmn418 remaindernear 0.55555555 1 -> -0.44444445
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| 339 | dqrmn419 remaindernear 0.555555555 1 -> -0.444444445
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| 340 |
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| 341 | -- folddowns
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| 342 | dqrmn421 remaindernear 1E+6144 1 -> NaN Division_impossible
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| 343 | dqrmn422 remaindernear 1E+6144 1E+6143 -> 0E+6111 Clamped
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| 344 | dqrmn423 remaindernear 1E+6144 2E+6143 -> 0E+6111 Clamped
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| 345 | dqrmn424 remaindernear 1E+6144 3E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped
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| 346 | dqrmn425 remaindernear 1E+6144 4E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped
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| 347 | dqrmn426 remaindernear 1E+6144 5E+6143 -> 0E+6111 Clamped
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| 348 | dqrmn427 remaindernear 1E+6144 6E+6143 -> -2.00000000000000000000000000000000E+6143 Clamped
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| 349 | dqrmn428 remaindernear 1E+6144 7E+6143 -> 3.00000000000000000000000000000000E+6143 Clamped
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| 350 | dqrmn429 remaindernear 1E+6144 8E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped
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| 351 | dqrmn430 remaindernear 1E+6144 9E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped
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| 352 | -- tinies
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| 353 | dqrmn431 remaindernear 1E-6175 1E-6176 -> 0E-6176
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| 354 | dqrmn432 remaindernear 1E-6175 2E-6176 -> 0E-6176
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| 355 | dqrmn433 remaindernear 1E-6175 3E-6176 -> 1E-6176 Subnormal
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| 356 | dqrmn434 remaindernear 1E-6175 4E-6176 -> 2E-6176 Subnormal
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| 357 | dqrmn435 remaindernear 1E-6175 5E-6176 -> 0E-6176
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| 358 | dqrmn436 remaindernear 1E-6175 6E-6176 -> -2E-6176 Subnormal
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| 359 | dqrmn437 remaindernear 1E-6175 7E-6176 -> 3E-6176 Subnormal
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| 360 | dqrmn438 remaindernear 1E-6175 8E-6176 -> 2E-6176 Subnormal
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| 361 | dqrmn439 remaindernear 1E-6175 9E-6176 -> 1E-6176 Subnormal
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| 362 | dqrmn440 remaindernear 1E-6175 10E-6176 -> 0E-6176
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| 363 | dqrmn441 remaindernear 1E-6175 11E-6176 -> -1E-6176 Subnormal
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| 364 | dqrmn442 remaindernear 100E-6175 11E-6176 -> -1E-6176 Subnormal
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| 365 | dqrmn443 remaindernear 100E-6175 20E-6176 -> 0E-6176
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| 366 | dqrmn444 remaindernear 100E-6175 21E-6176 -> -8E-6176 Subnormal
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| 367 | dqrmn445 remaindernear 100E-6175 30E-6176 -> 1.0E-6175 Subnormal
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| 368 |
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| 369 | -- zero signs
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| 370 | dqrmn650 remaindernear 1 1 -> 0
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| 371 | dqrmn651 remaindernear -1 1 -> -0
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| 372 | dqrmn652 remaindernear 1 -1 -> 0
|
| 373 | dqrmn653 remaindernear -1 -1 -> -0
|
| 374 | dqrmn654 remaindernear 0 1 -> 0
|
| 375 | dqrmn655 remaindernear -0 1 -> -0
|
| 376 | dqrmn656 remaindernear 0 -1 -> 0
|
| 377 | dqrmn657 remaindernear -0 -1 -> -0
|
| 378 | dqrmn658 remaindernear 0.00 1 -> 0.00
|
| 379 | dqrmn659 remaindernear -0.00 1 -> -0.00
|
| 380 |
|
| 381 | -- Specials
|
| 382 | dqrmn680 remaindernear Inf -Inf -> NaN Invalid_operation
|
| 383 | dqrmn681 remaindernear Inf -1000 -> NaN Invalid_operation
|
| 384 | dqrmn682 remaindernear Inf -1 -> NaN Invalid_operation
|
| 385 | dqrmn683 remaindernear Inf 0 -> NaN Invalid_operation
|
| 386 | dqrmn684 remaindernear Inf -0 -> NaN Invalid_operation
|
| 387 | dqrmn685 remaindernear Inf 1 -> NaN Invalid_operation
|
| 388 | dqrmn686 remaindernear Inf 1000 -> NaN Invalid_operation
|
| 389 | dqrmn687 remaindernear Inf Inf -> NaN Invalid_operation
|
| 390 | dqrmn688 remaindernear -1000 Inf -> -1000
|
| 391 | dqrmn689 remaindernear -Inf Inf -> NaN Invalid_operation
|
| 392 | dqrmn691 remaindernear -1 Inf -> -1
|
| 393 | dqrmn692 remaindernear 0 Inf -> 0
|
| 394 | dqrmn693 remaindernear -0 Inf -> -0
|
| 395 | dqrmn694 remaindernear 1 Inf -> 1
|
| 396 | dqrmn695 remaindernear 1000 Inf -> 1000
|
| 397 | dqrmn696 remaindernear Inf Inf -> NaN Invalid_operation
|
| 398 |
|
| 399 | dqrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation
|
| 400 | dqrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation
|
| 401 | dqrmn702 remaindernear -Inf -1 -> NaN Invalid_operation
|
| 402 | dqrmn703 remaindernear -Inf -0 -> NaN Invalid_operation
|
| 403 | dqrmn704 remaindernear -Inf 0 -> NaN Invalid_operation
|
| 404 | dqrmn705 remaindernear -Inf 1 -> NaN Invalid_operation
|
| 405 | dqrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation
|
| 406 | dqrmn707 remaindernear -Inf Inf -> NaN Invalid_operation
|
| 407 | dqrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation
|
| 408 | dqrmn709 remaindernear -1000 Inf -> -1000
|
| 409 | dqrmn710 remaindernear -1 -Inf -> -1
|
| 410 | dqrmn711 remaindernear -0 -Inf -> -0
|
| 411 | dqrmn712 remaindernear 0 -Inf -> 0
|
| 412 | dqrmn713 remaindernear 1 -Inf -> 1
|
| 413 | dqrmn714 remaindernear 1000 -Inf -> 1000
|
| 414 | dqrmn715 remaindernear Inf -Inf -> NaN Invalid_operation
|
| 415 |
|
| 416 | dqrmn721 remaindernear NaN -Inf -> NaN
|
| 417 | dqrmn722 remaindernear NaN -1000 -> NaN
|
| 418 | dqrmn723 remaindernear NaN -1 -> NaN
|
| 419 | dqrmn724 remaindernear NaN -0 -> NaN
|
| 420 | dqrmn725 remaindernear -NaN 0 -> -NaN
|
| 421 | dqrmn726 remaindernear NaN 1 -> NaN
|
| 422 | dqrmn727 remaindernear NaN 1000 -> NaN
|
| 423 | dqrmn728 remaindernear NaN Inf -> NaN
|
| 424 | dqrmn729 remaindernear NaN -NaN -> NaN
|
| 425 | dqrmn730 remaindernear -Inf NaN -> NaN
|
| 426 | dqrmn731 remaindernear -1000 NaN -> NaN
|
| 427 | dqrmn732 remaindernear -1 NaN -> NaN
|
| 428 | dqrmn733 remaindernear -0 -NaN -> -NaN
|
| 429 | dqrmn734 remaindernear 0 NaN -> NaN
|
| 430 | dqrmn735 remaindernear 1 -NaN -> -NaN
|
| 431 | dqrmn736 remaindernear 1000 NaN -> NaN
|
| 432 | dqrmn737 remaindernear Inf NaN -> NaN
|
| 433 |
|
| 434 | dqrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation
|
| 435 | dqrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation
|
| 436 | dqrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation
|
| 437 | dqrmn744 remaindernear sNaN -0 -> NaN Invalid_operation
|
| 438 | dqrmn745 remaindernear sNaN 0 -> NaN Invalid_operation
|
| 439 | dqrmn746 remaindernear sNaN 1 -> NaN Invalid_operation
|
| 440 | dqrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation
|
| 441 | dqrmn749 remaindernear sNaN NaN -> NaN Invalid_operation
|
| 442 | dqrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation
|
| 443 | dqrmn751 remaindernear NaN sNaN -> NaN Invalid_operation
|
| 444 | dqrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation
|
| 445 | dqrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation
|
| 446 | dqrmn754 remaindernear -1 sNaN -> NaN Invalid_operation
|
| 447 | dqrmn755 remaindernear -0 sNaN -> NaN Invalid_operation
|
| 448 | dqrmn756 remaindernear 0 sNaN -> NaN Invalid_operation
|
| 449 | dqrmn757 remaindernear 1 sNaN -> NaN Invalid_operation
|
| 450 | dqrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation
|
| 451 | dqrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation
|
| 452 |
|
| 453 | -- propaging NaNs
|
| 454 | dqrmn760 remaindernear NaN1 NaN7 -> NaN1
|
| 455 | dqrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation
|
| 456 | dqrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation
|
| 457 | dqrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation
|
| 458 | dqrmn764 remaindernear 15 NaN11 -> NaN11
|
| 459 | dqrmn765 remaindernear NaN6 NaN12 -> NaN6
|
| 460 | dqrmn766 remaindernear Inf NaN13 -> NaN13
|
| 461 | dqrmn767 remaindernear NaN14 -Inf -> NaN14
|
| 462 | dqrmn768 remaindernear 0 NaN15 -> NaN15
|
| 463 | dqrmn769 remaindernear NaN16 -0 -> NaN16
|
| 464 |
|
| 465 | -- edge cases of impossible
|
| 466 | dqrmn770 remaindernear 1234500000000000000000067890123456 10 -> -4
|
| 467 | dqrmn771 remaindernear 1234500000000000000000067890123456 1 -> 0
|
| 468 | dqrmn772 remaindernear 1234500000000000000000067890123456 0.1 -> NaN Division_impossible
|
| 469 | dqrmn773 remaindernear 1234500000000000000000067890123456 0.01 -> NaN Division_impossible
|
| 470 |
|
| 471 | -- long operand checks
|
| 472 | dqrmn801 remaindernear 12345678000 100 -> 0
|
| 473 | dqrmn802 remaindernear 1 12345678000 -> 1
|
| 474 | dqrmn803 remaindernear 1234567800 10 -> 0
|
| 475 | dqrmn804 remaindernear 1 1234567800 -> 1
|
| 476 | dqrmn805 remaindernear 1234567890 10 -> 0
|
| 477 | dqrmn806 remaindernear 1 1234567890 -> 1
|
| 478 | dqrmn807 remaindernear 1234567891 10 -> 1
|
| 479 | dqrmn808 remaindernear 1 1234567891 -> 1
|
| 480 | dqrmn809 remaindernear 12345678901 100 -> 1
|
| 481 | dqrmn810 remaindernear 1 12345678901 -> 1
|
| 482 | dqrmn811 remaindernear 1234567896 10 -> -4
|
| 483 | dqrmn812 remaindernear 1 1234567896 -> 1
|
| 484 |
|
| 485 | dqrmn821 remaindernear 12345678000 100 -> 0
|
| 486 | dqrmn822 remaindernear 1 12345678000 -> 1
|
| 487 | dqrmn823 remaindernear 1234567800 10 -> 0
|
| 488 | dqrmn824 remaindernear 1 1234567800 -> 1
|
| 489 | dqrmn825 remaindernear 1234567890 10 -> 0
|
| 490 | dqrmn826 remaindernear 1 1234567890 -> 1
|
| 491 | dqrmn827 remaindernear 1234567891 10 -> 1
|
| 492 | dqrmn828 remaindernear 1 1234567891 -> 1
|
| 493 | dqrmn829 remaindernear 12345678901 100 -> 1
|
| 494 | dqrmn830 remaindernear 1 12345678901 -> 1
|
| 495 | dqrmn831 remaindernear 1234567896 10 -> -4
|
| 496 | dqrmn832 remaindernear 1 1234567896 -> 1
|
| 497 |
|
| 498 | -- from divideint
|
| 499 | dqrmn840 remaindernear 100000000.0 1 -> 0.0
|
| 500 | dqrmn841 remaindernear 100000000.4 1 -> 0.4
|
| 501 | dqrmn842 remaindernear 100000000.5 1 -> 0.5
|
| 502 | dqrmn843 remaindernear 100000000.9 1 -> -0.1
|
| 503 | dqrmn844 remaindernear 100000000.999 1 -> -0.001
|
| 504 | dqrmn850 remaindernear 100000003 5 -> -2
|
| 505 | dqrmn851 remaindernear 10000003 5 -> -2
|
| 506 | dqrmn852 remaindernear 1000003 5 -> -2
|
| 507 | dqrmn853 remaindernear 100003 5 -> -2
|
| 508 | dqrmn854 remaindernear 10003 5 -> -2
|
| 509 | dqrmn855 remaindernear 1003 5 -> -2
|
| 510 | dqrmn856 remaindernear 103 5 -> -2
|
| 511 | dqrmn857 remaindernear 13 5 -> -2
|
| 512 | dqrmn858 remaindernear 1 5 -> 1
|
| 513 |
|
| 514 | -- Vladimir's cases 1234567890123456
|
| 515 | dqrmn860 remaindernear 123.0e1 1000000000000000 -> 1230
|
| 516 | dqrmn861 remaindernear 1230 1000000000000000 -> 1230
|
| 517 | dqrmn862 remaindernear 12.3e2 1000000000000000 -> 1230
|
| 518 | dqrmn863 remaindernear 1.23e3 1000000000000000 -> 1230
|
| 519 | dqrmn864 remaindernear 123e1 1000000000000000 -> 1230
|
| 520 | dqrmn870 remaindernear 123e1 1000000000000000 -> 1230
|
| 521 | dqrmn871 remaindernear 123e1 100000000000000 -> 1230
|
| 522 | dqrmn872 remaindernear 123e1 10000000000000 -> 1230
|
| 523 | dqrmn873 remaindernear 123e1 1000000000000 -> 1230
|
| 524 | dqrmn874 remaindernear 123e1 100000000000 -> 1230
|
| 525 | dqrmn875 remaindernear 123e1 10000000000 -> 1230
|
| 526 | dqrmn876 remaindernear 123e1 1000000000 -> 1230
|
| 527 | dqrmn877 remaindernear 123e1 100000000 -> 1230
|
| 528 | dqrmn878 remaindernear 1230 100000000 -> 1230
|
| 529 | dqrmn879 remaindernear 123e1 10000000 -> 1230
|
| 530 | dqrmn880 remaindernear 123e1 1000000 -> 1230
|
| 531 | dqrmn881 remaindernear 123e1 100000 -> 1230
|
| 532 | dqrmn882 remaindernear 123e1 10000 -> 1230
|
| 533 | dqrmn883 remaindernear 123e1 1000 -> 230
|
| 534 | dqrmn884 remaindernear 123e1 100 -> 30
|
| 535 | dqrmn885 remaindernear 123e1 10 -> 0
|
| 536 | dqrmn886 remaindernear 123e1 1 -> 0
|
| 537 |
|
| 538 | dqrmn890 remaindernear 123e1 2000000000000000 -> 1230
|
| 539 | dqrmn891 remaindernear 123e1 200000000000000 -> 1230
|
| 540 | dqrmn892 remaindernear 123e1 20000000000000 -> 1230
|
| 541 | dqrmn893 remaindernear 123e1 2000000000000 -> 1230
|
| 542 | dqrmn894 remaindernear 123e1 200000000000 -> 1230
|
| 543 | dqrmn895 remaindernear 123e1 20000000000 -> 1230
|
| 544 | dqrmn896 remaindernear 123e1 2000000000 -> 1230
|
| 545 | dqrmn897 remaindernear 123e1 200000000 -> 1230
|
| 546 | dqrmn899 remaindernear 123e1 20000000 -> 1230
|
| 547 | dqrmn900 remaindernear 123e1 2000000 -> 1230
|
| 548 | dqrmn901 remaindernear 123e1 200000 -> 1230
|
| 549 | dqrmn902 remaindernear 123e1 20000 -> 1230
|
| 550 | dqrmn903 remaindernear 123e1 2000 -> -770
|
| 551 | dqrmn904 remaindernear 123e1 200 -> 30
|
| 552 | dqrmn905 remaindernear 123e1 20 -> -10
|
| 553 | dqrmn906 remaindernear 123e1 2 -> 0
|
| 554 |
|
| 555 | dqrmn910 remaindernear 123e1 5000000000000000 -> 1230
|
| 556 | dqrmn911 remaindernear 123e1 500000000000000 -> 1230
|
| 557 | dqrmn912 remaindernear 123e1 50000000000000 -> 1230
|
| 558 | dqrmn913 remaindernear 123e1 5000000000000 -> 1230
|
| 559 | dqrmn914 remaindernear 123e1 500000000000 -> 1230
|
| 560 | dqrmn915 remaindernear 123e1 50000000000 -> 1230
|
| 561 | dqrmn916 remaindernear 123e1 5000000000 -> 1230
|
| 562 | dqrmn917 remaindernear 123e1 500000000 -> 1230
|
| 563 | dqrmn919 remaindernear 123e1 50000000 -> 1230
|
| 564 | dqrmn920 remaindernear 123e1 5000000 -> 1230
|
| 565 | dqrmn921 remaindernear 123e1 500000 -> 1230
|
| 566 | dqrmn922 remaindernear 123e1 50000 -> 1230
|
| 567 | dqrmn923 remaindernear 123e1 5000 -> 1230
|
| 568 | dqrmn924 remaindernear 123e1 500 -> 230
|
| 569 | dqrmn925 remaindernear 123e1 50 -> -20
|
| 570 | dqrmn926 remaindernear 123e1 5 -> 0
|
| 571 |
|
| 572 | dqrmn930 remaindernear 123e1 9000000000000000 -> 1230
|
| 573 | dqrmn931 remaindernear 123e1 900000000000000 -> 1230
|
| 574 | dqrmn932 remaindernear 123e1 90000000000000 -> 1230
|
| 575 | dqrmn933 remaindernear 123e1 9000000000000 -> 1230
|
| 576 | dqrmn934 remaindernear 123e1 900000000000 -> 1230
|
| 577 | dqrmn935 remaindernear 123e1 90000000000 -> 1230
|
| 578 | dqrmn936 remaindernear 123e1 9000000000 -> 1230
|
| 579 | dqrmn937 remaindernear 123e1 900000000 -> 1230
|
| 580 | dqrmn939 remaindernear 123e1 90000000 -> 1230
|
| 581 | dqrmn940 remaindernear 123e1 9000000 -> 1230
|
| 582 | dqrmn941 remaindernear 123e1 900000 -> 1230
|
| 583 | dqrmn942 remaindernear 123e1 90000 -> 1230
|
| 584 | dqrmn943 remaindernear 123e1 9000 -> 1230
|
| 585 | dqrmn944 remaindernear 123e1 900 -> 330
|
| 586 | dqrmn945 remaindernear 123e1 90 -> -30
|
| 587 | dqrmn946 remaindernear 123e1 9 -> -3
|
| 588 |
|
| 589 | dqrmn950 remaindernear 123e1 1000000000000000 -> 1230
|
| 590 | dqrmn961 remaindernear 123e1 2999999999999999 -> 1230
|
| 591 | dqrmn962 remaindernear 123e1 3999999999999999 -> 1230
|
| 592 | dqrmn963 remaindernear 123e1 4999999999999999 -> 1230
|
| 593 | dqrmn964 remaindernear 123e1 5999999999999999 -> 1230
|
| 594 | dqrmn965 remaindernear 123e1 6999999999999999 -> 1230
|
| 595 | dqrmn966 remaindernear 123e1 7999999999999999 -> 1230
|
| 596 | dqrmn967 remaindernear 123e1 8999999999999999 -> 1230
|
| 597 | dqrmn968 remaindernear 123e1 9999999999999999 -> 1230
|
| 598 | dqrmn969 remaindernear 123e1 9876543210987654 -> 1230
|
| 599 |
|
| 600 | dqrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally
|
| 601 |
|
| 602 | -- overflow and underflow tests [from divide]
|
| 603 | dqrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible
|
| 604 | dqrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible
|
| 605 | dqrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible
|
| 606 | dqrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible
|
| 607 | dqrmn1055 remaindernear 1e-277 1e+311 -> 1E-277
|
| 608 | dqrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277
|
| 609 | dqrmn1057 remaindernear -1e-277 1e+311 -> -1E-277
|
| 610 | dqrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277
|
| 611 |
|
| 612 | -- Gyuris example
|
| 613 | dqrmn1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143
|
| 614 |
|
| 615 | -- Null tests
|
| 616 | dqrmn1000 remaindernear 10 # -> NaN Invalid_operation
|
| 617 | dqrmn1001 remaindernear # 10 -> NaN Invalid_operation
|
| 618 |
|