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 |
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339 | rmnx360 remaindernear 1.2 0.7345 -> -0.2690
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340 | rmnx361 remaindernear 0.8 12 -> 0.8
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341 | rmnx362 remaindernear 0.8 0.2 -> 0.0
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342 | rmnx363 remaindernear 0.8 0.3 -> -0.1
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343 | rmnx364 remaindernear 0.800 12 -> 0.800
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344 | rmnx365 remaindernear 0.800 1.7 -> 0.800
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345 | rmnx366 remaindernear 2.400 2 -> 0.400
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346 |
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347 | precision: 6
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348 | rmnx371 remaindernear 2.400 2 -> 0.400
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349 | precision: 3
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350 | rmnx372 remaindernear 12345678900000 12e+12 -> 3.46E+11 Inexact Rounded
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351 |
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352 | precision: 5
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353 | rmnx381 remaindernear 12345 1 -> 0
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354 | rmnx382 remaindernear 12345 1.0001 -> -0.2344
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355 | rmnx383 remaindernear 12345 1.001 -> -0.333
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356 | rmnx384 remaindernear 12345 1.01 -> -0.23
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357 | rmnx385 remaindernear 12345 1.1 -> -0.3
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358 | rmnx386 remaindernear 12355 4 -> -1
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359 | rmnx387 remaindernear 12345 4 -> 1
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360 | rmnx388 remaindernear 12355 4.0001 -> -1.3089
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361 | rmnx389 remaindernear 12345 4.0001 -> 0.6914
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362 | rmnx390 remaindernear 12345 4.9 -> 1.9
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363 | rmnx391 remaindernear 12345 4.99 -> -0.26
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364 | rmnx392 remaindernear 12345 4.999 -> 2.469
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365 | rmnx393 remaindernear 12345 4.9999 -> 0.2469
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366 | rmnx394 remaindernear 12345 5 -> 0
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367 | rmnx395 remaindernear 12345 5.0001 -> -0.2469
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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
|
---|