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1 ------------------------------------------------------------------------ |
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2 -- ddRemainderNear.decTest -- decDouble remainder-near -- |
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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: 2.58 |
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21 |
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22 precision: 16 |
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23 maxExponent: 384 |
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24 minExponent: -383 |
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25 extended: 1 |
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26 clamp: 1 |
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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 ddrmn001 remaindernear 1 1 -> 0 |
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31 ddrmn002 remaindernear 2 1 -> 0 |
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32 ddrmn003 remaindernear 1 2 -> 1 |
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33 ddrmn004 remaindernear 2 2 -> 0 |
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34 ddrmn005 remaindernear 0 1 -> 0 |
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35 ddrmn006 remaindernear 0 2 -> 0 |
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36 ddrmn007 remaindernear 1 3 -> 1 |
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37 ddrmn008 remaindernear 2 3 -> -1 |
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38 ddrmn009 remaindernear 3 3 -> 0 |
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39 |
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40 ddrmn010 remaindernear 2.4 1 -> 0.4 |
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41 ddrmn011 remaindernear 2.4 -1 -> 0.4 |
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42 ddrmn012 remaindernear -2.4 1 -> -0.4 |
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43 ddrmn013 remaindernear -2.4 -1 -> -0.4 |
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44 ddrmn014 remaindernear 2.40 1 -> 0.40 |
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45 ddrmn015 remaindernear 2.400 1 -> 0.400 |
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46 ddrmn016 remaindernear 2.4 2 -> 0.4 |
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47 ddrmn017 remaindernear 2.400 2 -> 0.400 |
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48 ddrmn018 remaindernear 2. 2 -> 0 |
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49 ddrmn019 remaindernear 20 20 -> 0 |
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50 |
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51 ddrmn020 remaindernear 187 187 -> 0 |
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52 ddrmn021 remaindernear 5 2 -> 1 |
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53 ddrmn022 remaindernear 5 2.0 -> 1.0 |
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54 ddrmn023 remaindernear 5 2.000 -> 1.000 |
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55 ddrmn024 remaindernear 5 0.200 -> 0.000 |
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56 ddrmn025 remaindernear 5 0.200 -> 0.000 |
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57 |
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58 ddrmn030 remaindernear 1 2 -> 1 |
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59 ddrmn031 remaindernear 1 4 -> 1 |
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60 ddrmn032 remaindernear 1 8 -> 1 |
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61 |
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62 ddrmn033 remaindernear 1 16 -> 1 |
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63 ddrmn034 remaindernear 1 32 -> 1 |
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64 ddrmn035 remaindernear 1 64 -> 1 |
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65 ddrmn040 remaindernear 1 -2 -> 1 |
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66 ddrmn041 remaindernear 1 -4 -> 1 |
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67 ddrmn042 remaindernear 1 -8 -> 1 |
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68 ddrmn043 remaindernear 1 -16 -> 1 |
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69 ddrmn044 remaindernear 1 -32 -> 1 |
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70 ddrmn045 remaindernear 1 -64 -> 1 |
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71 ddrmn050 remaindernear -1 2 -> -1 |
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72 ddrmn051 remaindernear -1 4 -> -1 |
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73 ddrmn052 remaindernear -1 8 -> -1 |
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74 ddrmn053 remaindernear -1 16 -> -1 |
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75 ddrmn054 remaindernear -1 32 -> -1 |
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76 ddrmn055 remaindernear -1 64 -> -1 |
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77 ddrmn060 remaindernear -1 -2 -> -1 |
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78 ddrmn061 remaindernear -1 -4 -> -1 |
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79 ddrmn062 remaindernear -1 -8 -> -1 |
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80 ddrmn063 remaindernear -1 -16 -> -1 |
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81 ddrmn064 remaindernear -1 -32 -> -1 |
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82 ddrmn065 remaindernear -1 -64 -> -1 |
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83 |
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84 ddrmn066 remaindernear 9.9 1 -> -0.1 |
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85 ddrmn067 remaindernear 99.7 1 -> -0.3 |
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86 ddrmn068 remaindernear 999999999 1 -> 0 |
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87 ddrmn069 remaindernear 999999999.4 1 -> 0.4 |
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88 ddrmn070 remaindernear 999999999.5 1 -> -0.5 |
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89 ddrmn071 remaindernear 999999999.9 1 -> -0.1 |
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90 ddrmn072 remaindernear 999999999.999 1 -> -0.001 |
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91 ddrmn073 remaindernear 999999.999999 1 -> -0.000001 |
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92 ddrmn074 remaindernear 9 1 -> 0 |
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93 ddrmn075 remaindernear 9999999999999999 1 -> 0 |
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94 ddrmn076 remaindernear 9999999999999999 2 -> -1 |
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95 ddrmn077 remaindernear 9999999999999999 3 -> 0 |
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96 ddrmn078 remaindernear 9999999999999999 4 -> -1 |
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97 |
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98 ddrmn080 remaindernear 0. 1 -> 0 |
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99 ddrmn081 remaindernear .0 1 -> 0.0 |
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100 ddrmn082 remaindernear 0.00 1 -> 0.00 |
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101 ddrmn083 remaindernear 0.00E+9 1 -> 0 |
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102 ddrmn084 remaindernear 0.00E+3 1 -> 0 |
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103 ddrmn085 remaindernear 0.00E+2 1 -> 0 |
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104 ddrmn086 remaindernear 0.00E+1 1 -> 0.0 |
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105 ddrmn087 remaindernear 0.00E+0 1 -> 0.00 |
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106 ddrmn088 remaindernear 0.00E-0 1 -> 0.00 |
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107 ddrmn089 remaindernear 0.00E-1 1 -> 0.000 |
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108 ddrmn090 remaindernear 0.00E-2 1 -> 0.0000 |
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109 ddrmn091 remaindernear 0.00E-3 1 -> 0.00000 |
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110 ddrmn092 remaindernear 0.00E-4 1 -> 0.000000 |
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111 ddrmn093 remaindernear 0.00E-5 1 -> 0E-7 |
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112 ddrmn094 remaindernear 0.00E-6 1 -> 0E-8 |
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113 ddrmn095 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 ddrmn101 remaindernear 0 0 -> NaN Division_undefined |
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117 ddrmn102 remaindernear 0 -0 -> NaN Division_undefined |
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118 ddrmn103 remaindernear -0 0 -> NaN Division_undefined |
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119 ddrmn104 remaindernear -0 -0 -> NaN Division_undefined |
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120 ddrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined |
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121 ddrmn106 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 ddrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation |
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126 ddrmn108 remaindernear 0.01 0 -> NaN Invalid_operation |
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127 ddrmn109 remaindernear 0.1 0 -> NaN Invalid_operation |
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128 ddrmn110 remaindernear 1 0 -> NaN Invalid_operation |
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129 ddrmn111 remaindernear 1 0.0 -> NaN Invalid_operation |
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130 ddrmn112 remaindernear 10 0.0 -> NaN Invalid_operation |
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131 ddrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation |
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132 ddrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation |
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133 ddrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation |
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134 ddrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation |
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135 ddrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation |
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136 ddrmn120 remaindernear 1 -0 -> NaN Invalid_operation |
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137 ddrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation |
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138 ddrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation |
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139 ddrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation |
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140 ddrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation |
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141 -- and zeros on left |
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142 ddrmn130 remaindernear 0 1 -> 0 |
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143 ddrmn131 remaindernear 0 -1 -> 0 |
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144 ddrmn132 remaindernear 0.0 1 -> 0.0 |
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145 ddrmn133 remaindernear 0.0 -1 -> 0.0 |
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146 ddrmn134 remaindernear -0 1 -> -0 |
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147 ddrmn135 remaindernear -0 -1 -> -0 |
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148 ddrmn136 remaindernear -0.0 1 -> -0.0 |
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149 ddrmn137 remaindernear -0.0 -1 -> -0.0 |
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150 |
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151 -- 0.5ers |
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152 ddrmn143 remaindernear 0.5 2 -> 0.5 |
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153 ddrmn144 remaindernear 0.5 2.1 -> 0.5 |
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154 ddrmn145 remaindernear 0.5 2.01 -> 0.50 |
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155 ddrmn146 remaindernear 0.5 2.001 -> 0.500 |
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156 ddrmn147 remaindernear 0.50 2 -> 0.50 |
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157 ddrmn148 remaindernear 0.50 2.01 -> 0.50 |
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158 ddrmn149 remaindernear 0.50 2.001 -> 0.500 |
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159 |
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160 -- steadies |
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161 ddrmn150 remaindernear 1 1 -> 0 |
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162 ddrmn151 remaindernear 1 2 -> 1 |
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163 ddrmn152 remaindernear 1 3 -> 1 |
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164 ddrmn153 remaindernear 1 4 -> 1 |
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165 ddrmn154 remaindernear 1 5 -> 1 |
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166 ddrmn155 remaindernear 1 6 -> 1 |
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167 ddrmn156 remaindernear 1 7 -> 1 |
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168 ddrmn157 remaindernear 1 8 -> 1 |
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169 ddrmn158 remaindernear 1 9 -> 1 |
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170 ddrmn159 remaindernear 1 10 -> 1 |
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171 ddrmn160 remaindernear 1 1 -> 0 |
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172 ddrmn161 remaindernear 2 1 -> 0 |
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173 ddrmn162 remaindernear 3 1 -> 0 |
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174 ddrmn163 remaindernear 4 1 -> 0 |
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175 ddrmn164 remaindernear 5 1 -> 0 |
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176 ddrmn165 remaindernear 6 1 -> 0 |
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177 ddrmn166 remaindernear 7 1 -> 0 |
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178 ddrmn167 remaindernear 8 1 -> 0 |
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179 ddrmn168 remaindernear 9 1 -> 0 |
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180 ddrmn169 remaindernear 10 1 -> 0 |
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181 |
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182 -- some differences from remainder |
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183 ddrmn171 remaindernear 0.4 1.020 -> 0.400 |
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184 ddrmn172 remaindernear 0.50 1.020 -> 0.500 |
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185 ddrmn173 remaindernear 0.51 1.020 -> 0.510 |
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186 ddrmn174 remaindernear 0.52 1.020 -> -0.500 |
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187 ddrmn175 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 ddrmn201 remaindernear 0 0 -> NaN Division_undefined |
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191 ddrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined |
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192 ddrmn203 remaindernear 0.000 0 -> NaN Division_undefined |
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193 ddrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation |
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194 ddrmn205 remaindernear 0.01 0 -> NaN Invalid_operation |
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195 ddrmn206 remaindernear 0.1 0 -> NaN Invalid_operation |
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196 ddrmn207 remaindernear 1 0 -> NaN Invalid_operation |
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197 ddrmn208 remaindernear 1 0.0 -> NaN Invalid_operation |
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198 ddrmn209 remaindernear 10 0.0 -> NaN Invalid_operation |
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199 ddrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation |
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200 ddrmn211 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 ddrmn221 remaindernear 2.1 3 -> -0.9 |
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204 ddrmn222 remaindernear 10 6 -> -2 |
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205 ddrmn223 remaindernear 10 3 -> 1 |
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206 ddrmn224 remaindernear -10 3 -> -1 |
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207 ddrmn225 remaindernear 10.2 1 -> 0.2 |
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208 ddrmn226 remaindernear 10 0.3 -> 0.1 |
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209 ddrmn227 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 ddrmn231 remaindernear -0.4 1.020 -> -0.400 |
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213 ddrmn232 remaindernear -0.50 1.020 -> -0.500 |
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214 ddrmn233 remaindernear -0.51 1.020 -> -0.510 |
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215 ddrmn234 remaindernear -0.52 1.020 -> 0.500 |
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216 ddrmn235 remaindernear -0.6 1.020 -> 0.420 |
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217 |
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218 -- high Xs |
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219 ddrmn240 remaindernear 1E+2 1.00 -> 0.00 |
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220 |
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221 -- ddrmn3xx are from DiagBigDecimal |
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222 ddrmn301 remaindernear 1 3 -> 1 |
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223 ddrmn302 remaindernear 5 5 -> 0 |
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224 ddrmn303 remaindernear 13 10 -> 3 |
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225 ddrmn304 remaindernear 13 50 -> 13 |
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226 ddrmn305 remaindernear 13 100 -> 13 |
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227 ddrmn306 remaindernear 13 1000 -> 13 |
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228 ddrmn307 remaindernear .13 1 -> 0.13 |
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229 ddrmn308 remaindernear 0.133 1 -> 0.133 |
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230 ddrmn309 remaindernear 0.1033 1 -> 0.1033 |
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231 ddrmn310 remaindernear 1.033 1 -> 0.033 |
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232 ddrmn311 remaindernear 10.33 1 -> 0.33 |
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233 ddrmn312 remaindernear 10.33 10 -> 0.33 |
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234 ddrmn313 remaindernear 103.3 1 -> 0.3 |
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235 ddrmn314 remaindernear 133 10 -> 3 |
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236 ddrmn315 remaindernear 1033 10 -> 3 |
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237 ddrmn316 remaindernear 1033 50 -> -17 |
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238 ddrmn317 remaindernear 101.0 3 -> -1.0 |
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239 ddrmn318 remaindernear 102.0 3 -> 0.0 |
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240 ddrmn319 remaindernear 103.0 3 -> 1.0 |
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241 ddrmn320 remaindernear 2.40 1 -> 0.40 |
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242 ddrmn321 remaindernear 2.400 1 -> 0.400 |
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243 ddrmn322 remaindernear 2.4 1 -> 0.4 |
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244 ddrmn323 remaindernear 2.4 2 -> 0.4 |
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245 ddrmn324 remaindernear 2.400 2 -> 0.400 |
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246 ddrmn325 remaindernear 1 0.3 -> 0.1 |
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247 ddrmn326 remaindernear 1 0.30 -> 0.10 |
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248 ddrmn327 remaindernear 1 0.300 -> 0.100 |
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249 ddrmn328 remaindernear 1 0.3000 -> 0.1000 |
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250 ddrmn329 remaindernear 1.0 0.3 -> 0.1 |
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251 ddrmn330 remaindernear 1.00 0.3 -> 0.10 |
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252 ddrmn331 remaindernear 1.000 0.3 -> 0.100 |
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253 ddrmn332 remaindernear 1.0000 0.3 -> 0.1000 |
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254 ddrmn333 remaindernear 0.5 2 -> 0.5 |
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255 ddrmn334 remaindernear 0.5 2.1 -> 0.5 |
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256 ddrmn335 remaindernear 0.5 2.01 -> 0.50 |
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257 ddrmn336 remaindernear 0.5 2.001 -> 0.500 |
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258 ddrmn337 remaindernear 0.50 2 -> 0.50 |
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259 ddrmn338 remaindernear 0.50 2.01 -> 0.50 |
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260 ddrmn339 remaindernear 0.50 2.001 -> 0.500 |
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261 |
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262 ddrmn340 remaindernear 0.5 0.5000001 -> -1E-7 |
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263 ddrmn341 remaindernear 0.5 0.50000001 -> -1E-8 |
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264 ddrmn342 remaindernear 0.5 0.500000001 -> -1E-9 |
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265 ddrmn343 remaindernear 0.5 0.5000000001 -> -1E-10 |
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266 ddrmn344 remaindernear 0.5 0.50000000001 -> -1E-11 |
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267 ddrmn345 remaindernear 0.5 0.4999999 -> 1E-7 |
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268 ddrmn346 remaindernear 0.5 0.49999999 -> 1E-8 |
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269 ddrmn347 remaindernear 0.5 0.499999999 -> 1E-9 |
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270 ddrmn348 remaindernear 0.5 0.4999999999 -> 1E-10 |
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271 ddrmn349 remaindernear 0.5 0.49999999999 -> 1E-11 |
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272 ddrmn350 remaindernear 0.5 0.499999999999 -> 1E-12 |
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273 |
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274 ddrmn351 remaindernear 0.03 7 -> 0.03 |
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275 ddrmn352 remaindernear 5 2 -> 1 |
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276 ddrmn353 remaindernear 4.1 2 -> 0.1 |
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277 ddrmn354 remaindernear 4.01 2 -> 0.01 |
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278 ddrmn355 remaindernear 4.001 2 -> 0.001 |
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279 ddrmn356 remaindernear 4.0001 2 -> 0.0001 |
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280 ddrmn357 remaindernear 4.00001 2 -> 0.00001 |
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281 ddrmn358 remaindernear 4.000001 2 -> 0.000001 |
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282 ddrmn359 remaindernear 4.0000001 2 -> 1E-7 |
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283 |
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284 ddrmn360 remaindernear 1.2 0.7345 -> -0.2690 |
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285 ddrmn361 remaindernear 0.8 12 -> 0.8 |
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286 ddrmn362 remaindernear 0.8 0.2 -> 0.0 |
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287 ddrmn363 remaindernear 0.8 0.3 -> -0.1 |
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288 ddrmn364 remaindernear 0.800 12 -> 0.800 |
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289 ddrmn365 remaindernear 0.800 1.7 -> 0.800 |
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290 ddrmn366 remaindernear 2.400 2 -> 0.400 |
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291 |
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292 -- round to even |
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293 ddrmn371 remaindernear 121 2 -> 1 |
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294 ddrmn372 remaindernear 122 2 -> 0 |
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295 ddrmn373 remaindernear 123 2 -> -1 |
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296 ddrmn374 remaindernear 124 2 -> 0 |
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297 ddrmn375 remaindernear 125 2 -> 1 |
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298 ddrmn376 remaindernear 126 2 -> 0 |
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299 ddrmn377 remaindernear 127 2 -> -1 |
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300 |
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301 ddrmn381 remaindernear 12345 1 -> 0 |
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302 ddrmn382 remaindernear 12345 1.0001 -> -0.2344 |
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303 ddrmn383 remaindernear 12345 1.001 -> -0.333 |
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304 ddrmn384 remaindernear 12345 1.01 -> -0.23 |
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305 ddrmn385 remaindernear 12345 1.1 -> -0.3 |
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306 ddrmn386 remaindernear 12355 4 -> -1 |
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307 ddrmn387 remaindernear 12345 4 -> 1 |
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308 ddrmn388 remaindernear 12355 4.0001 -> -1.3089 |
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309 ddrmn389 remaindernear 12345 4.0001 -> 0.6914 |
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310 ddrmn390 remaindernear 12345 4.9 -> 1.9 |
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311 ddrmn391 remaindernear 12345 4.99 -> -0.26 |
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312 ddrmn392 remaindernear 12345 4.999 -> 2.469 |
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313 ddrmn393 remaindernear 12345 4.9999 -> 0.2469 |
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314 ddrmn394 remaindernear 12345 5 -> 0 |
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315 ddrmn395 remaindernear 12345 5.0001 -> -0.2469 |
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316 ddrmn396 remaindernear 12345 5.001 -> -2.469 |
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317 ddrmn397 remaindernear 12345 5.01 -> 0.36 |
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318 ddrmn398 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 ddrmn401 remaindernear 0.4 1 -> 0.4 |
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322 ddrmn402 remaindernear 0.45 1 -> 0.45 |
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323 ddrmn403 remaindernear 0.455 1 -> 0.455 |
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324 ddrmn404 remaindernear 0.4555 1 -> 0.4555 |
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325 ddrmn405 remaindernear 0.45555 1 -> 0.45555 |
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326 ddrmn406 remaindernear 0.455555 1 -> 0.455555 |
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327 ddrmn407 remaindernear 0.4555555 1 -> 0.4555555 |
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328 ddrmn408 remaindernear 0.45555555 1 -> 0.45555555 |
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329 ddrmn409 remaindernear 0.455555555 1 -> 0.455555555 |
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330 -- with spill... [412 exercises sticktab loop] |
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331 ddrmn411 remaindernear 0.5 1 -> 0.5 |
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332 ddrmn412 remaindernear 0.55 1 -> -0.45 |
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333 ddrmn413 remaindernear 0.555 1 -> -0.445 |
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334 ddrmn414 remaindernear 0.5555 1 -> -0.4445 |
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335 ddrmn415 remaindernear 0.55555 1 -> -0.44445 |
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336 ddrmn416 remaindernear 0.555555 1 -> -0.444445 |
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337 ddrmn417 remaindernear 0.5555555 1 -> -0.4444445 |
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338 ddrmn418 remaindernear 0.55555555 1 -> -0.44444445 |
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339 ddrmn419 remaindernear 0.555555555 1 -> -0.444444445 |
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340 |
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341 -- folddowns |
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342 ddrmn421 remaindernear 1E+384 1 -> NaN Division_impossible |
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343 ddrmn422 remaindernear 1E+384 1E+383 -> 0E+369 Clamped |
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344 ddrmn423 remaindernear 1E+384 2E+383 -> 0E+369 Clamped |
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345 ddrmn424 remaindernear 1E+384 3E+383 -> 1.00000000000000E+383 Clamped |
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346 ddrmn425 remaindernear 1E+384 4E+383 -> 2.00000000000000E+383 Clamped |
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347 ddrmn426 remaindernear 1E+384 5E+383 -> 0E+369 Clamped |
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348 ddrmn427 remaindernear 1E+384 6E+383 -> -2.00000000000000E+383 Clamped |
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349 ddrmn428 remaindernear 1E+384 7E+383 -> 3.00000000000000E+383 Clamped |
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350 ddrmn429 remaindernear 1E+384 8E+383 -> 2.00000000000000E+383 Clamped |
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351 ddrmn430 remaindernear 1E+384 9E+383 -> 1.00000000000000E+383 Clamped |
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352 -- tinies |
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353 ddrmn431 remaindernear 1E-397 1E-398 -> 0E-398 |
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354 ddrmn432 remaindernear 1E-397 2E-398 -> 0E-398 |
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355 ddrmn433 remaindernear 1E-397 3E-398 -> 1E-398 Subnormal |
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356 ddrmn434 remaindernear 1E-397 4E-398 -> 2E-398 Subnormal |
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357 ddrmn435 remaindernear 1E-397 5E-398 -> 0E-398 |
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358 ddrmn436 remaindernear 1E-397 6E-398 -> -2E-398 Subnormal |
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359 ddrmn437 remaindernear 1E-397 7E-398 -> 3E-398 Subnormal |
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360 ddrmn438 remaindernear 1E-397 8E-398 -> 2E-398 Subnormal |
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361 ddrmn439 remaindernear 1E-397 9E-398 -> 1E-398 Subnormal |
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362 ddrmn440 remaindernear 1E-397 10E-398 -> 0E-398 |
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363 ddrmn441 remaindernear 1E-397 11E-398 -> -1E-398 Subnormal |
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364 ddrmn442 remaindernear 100E-397 11E-398 -> -1E-398 Subnormal |
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365 ddrmn443 remaindernear 100E-397 20E-398 -> 0E-398 |
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366 ddrmn444 remaindernear 100E-397 21E-398 -> -8E-398 Subnormal |
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367 ddrmn445 remaindernear 100E-397 30E-398 -> 1.0E-397 Subnormal |
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368 |
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369 -- zero signs |
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370 ddrmn650 remaindernear 1 1 -> 0 |
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371 ddrmn651 remaindernear -1 1 -> -0 |
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372 ddrmn652 remaindernear 1 -1 -> 0 |
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373 ddrmn653 remaindernear -1 -1 -> -0 |
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374 ddrmn654 remaindernear 0 1 -> 0 |
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375 ddrmn655 remaindernear -0 1 -> -0 |
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376 ddrmn656 remaindernear 0 -1 -> 0 |
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377 ddrmn657 remaindernear -0 -1 -> -0 |
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378 ddrmn658 remaindernear 0.00 1 -> 0.00 |
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379 ddrmn659 remaindernear -0.00 1 -> -0.00 |
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380 |
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381 -- Specials |
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382 ddrmn680 remaindernear Inf -Inf -> NaN Invalid_operation |
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383 ddrmn681 remaindernear Inf -1000 -> NaN Invalid_operation |
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384 ddrmn682 remaindernear Inf -1 -> NaN Invalid_operation |
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385 ddrmn683 remaindernear Inf 0 -> NaN Invalid_operation |
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386 ddrmn684 remaindernear Inf -0 -> NaN Invalid_operation |
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387 ddrmn685 remaindernear Inf 1 -> NaN Invalid_operation |
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388 ddrmn686 remaindernear Inf 1000 -> NaN Invalid_operation |
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389 ddrmn687 remaindernear Inf Inf -> NaN Invalid_operation |
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390 ddrmn688 remaindernear -1000 Inf -> -1000 |
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391 ddrmn689 remaindernear -Inf Inf -> NaN Invalid_operation |
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392 ddrmn691 remaindernear -1 Inf -> -1 |
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393 ddrmn692 remaindernear 0 Inf -> 0 |
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394 ddrmn693 remaindernear -0 Inf -> -0 |
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395 ddrmn694 remaindernear 1 Inf -> 1 |
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396 ddrmn695 remaindernear 1000 Inf -> 1000 |
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397 ddrmn696 remaindernear Inf Inf -> NaN Invalid_operation |
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398 |
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399 ddrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation |
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400 ddrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation |
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401 ddrmn702 remaindernear -Inf -1 -> NaN Invalid_operation |
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402 ddrmn703 remaindernear -Inf -0 -> NaN Invalid_operation |
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403 ddrmn704 remaindernear -Inf 0 -> NaN Invalid_operation |
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404 ddrmn705 remaindernear -Inf 1 -> NaN Invalid_operation |
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405 ddrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation |
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406 ddrmn707 remaindernear -Inf Inf -> NaN Invalid_operation |
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407 ddrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation |
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408 ddrmn709 remaindernear -1000 Inf -> -1000 |
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409 ddrmn710 remaindernear -1 -Inf -> -1 |
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410 ddrmn711 remaindernear -0 -Inf -> -0 |
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411 ddrmn712 remaindernear 0 -Inf -> 0 |
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412 ddrmn713 remaindernear 1 -Inf -> 1 |
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413 ddrmn714 remaindernear 1000 -Inf -> 1000 |
|
414 ddrmn715 remaindernear Inf -Inf -> NaN Invalid_operation |
|
415 |
|
416 ddrmn721 remaindernear NaN -Inf -> NaN |
|
417 ddrmn722 remaindernear NaN -1000 -> NaN |
|
418 ddrmn723 remaindernear NaN -1 -> NaN |
|
419 ddrmn724 remaindernear NaN -0 -> NaN |
|
420 ddrmn725 remaindernear -NaN 0 -> -NaN |
|
421 ddrmn726 remaindernear NaN 1 -> NaN |
|
422 ddrmn727 remaindernear NaN 1000 -> NaN |
|
423 ddrmn728 remaindernear NaN Inf -> NaN |
|
424 ddrmn729 remaindernear NaN -NaN -> NaN |
|
425 ddrmn730 remaindernear -Inf NaN -> NaN |
|
426 ddrmn731 remaindernear -1000 NaN -> NaN |
|
427 ddrmn732 remaindernear -1 NaN -> NaN |
|
428 ddrmn733 remaindernear -0 -NaN -> -NaN |
|
429 ddrmn734 remaindernear 0 NaN -> NaN |
|
430 ddrmn735 remaindernear 1 -NaN -> -NaN |
|
431 ddrmn736 remaindernear 1000 NaN -> NaN |
|
432 ddrmn737 remaindernear Inf NaN -> NaN |
|
433 |
|
434 ddrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation |
|
435 ddrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation |
|
436 ddrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation |
|
437 ddrmn744 remaindernear sNaN -0 -> NaN Invalid_operation |
|
438 ddrmn745 remaindernear sNaN 0 -> NaN Invalid_operation |
|
439 ddrmn746 remaindernear sNaN 1 -> NaN Invalid_operation |
|
440 ddrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation |
|
441 ddrmn749 remaindernear sNaN NaN -> NaN Invalid_operation |
|
442 ddrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation |
|
443 ddrmn751 remaindernear NaN sNaN -> NaN Invalid_operation |
|
444 ddrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation |
|
445 ddrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation |
|
446 ddrmn754 remaindernear -1 sNaN -> NaN Invalid_operation |
|
447 ddrmn755 remaindernear -0 sNaN -> NaN Invalid_operation |
|
448 ddrmn756 remaindernear 0 sNaN -> NaN Invalid_operation |
|
449 ddrmn757 remaindernear 1 sNaN -> NaN Invalid_operation |
|
450 ddrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation |
|
451 ddrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation |
|
452 |
|
453 -- propaging NaNs |
|
454 ddrmn760 remaindernear NaN1 NaN7 -> NaN1 |
|
455 ddrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation |
|
456 ddrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation |
|
457 ddrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation |
|
458 ddrmn764 remaindernear 15 NaN11 -> NaN11 |
|
459 ddrmn765 remaindernear NaN6 NaN12 -> NaN6 |
|
460 ddrmn766 remaindernear Inf NaN13 -> NaN13 |
|
461 ddrmn767 remaindernear NaN14 -Inf -> NaN14 |
|
462 ddrmn768 remaindernear 0 NaN15 -> NaN15 |
|
463 ddrmn769 remaindernear NaN16 -0 -> NaN16 |
|
464 |
|
465 -- edge cases of impossible |
|
466 ddrmn770 remaindernear 1234567890123456 10 -> -4 |
|
467 ddrmn771 remaindernear 1234567890123456 1 -> 0 |
|
468 ddrmn772 remaindernear 1234567890123456 0.1 -> NaN Division_impossible |
|
469 ddrmn773 remaindernear 1234567890123456 0.01 -> NaN Division_impossible |
|
470 |
|
471 -- long operand checks |
|
472 ddrmn801 remaindernear 12345678000 100 -> 0 |
|
473 ddrmn802 remaindernear 1 12345678000 -> 1 |
|
474 ddrmn803 remaindernear 1234567800 10 -> 0 |
|
475 ddrmn804 remaindernear 1 1234567800 -> 1 |
|
476 ddrmn805 remaindernear 1234567890 10 -> 0 |
|
477 ddrmn806 remaindernear 1 1234567890 -> 1 |
|
478 ddrmn807 remaindernear 1234567891 10 -> 1 |
|
479 ddrmn808 remaindernear 1 1234567891 -> 1 |
|
480 ddrmn809 remaindernear 12345678901 100 -> 1 |
|
481 ddrmn810 remaindernear 1 12345678901 -> 1 |
|
482 ddrmn811 remaindernear 1234567896 10 -> -4 |
|
483 ddrmn812 remaindernear 1 1234567896 -> 1 |
|
484 |
|
485 ddrmn821 remaindernear 12345678000 100 -> 0 |
|
486 ddrmn822 remaindernear 1 12345678000 -> 1 |
|
487 ddrmn823 remaindernear 1234567800 10 -> 0 |
|
488 ddrmn824 remaindernear 1 1234567800 -> 1 |
|
489 ddrmn825 remaindernear 1234567890 10 -> 0 |
|
490 ddrmn826 remaindernear 1 1234567890 -> 1 |
|
491 ddrmn827 remaindernear 1234567891 10 -> 1 |
|
492 ddrmn828 remaindernear 1 1234567891 -> 1 |
|
493 ddrmn829 remaindernear 12345678901 100 -> 1 |
|
494 ddrmn830 remaindernear 1 12345678901 -> 1 |
|
495 ddrmn831 remaindernear 1234567896 10 -> -4 |
|
496 ddrmn832 remaindernear 1 1234567896 -> 1 |
|
497 |
|
498 -- from divideint |
|
499 ddrmn840 remaindernear 100000000.0 1 -> 0.0 |
|
500 ddrmn841 remaindernear 100000000.4 1 -> 0.4 |
|
501 ddrmn842 remaindernear 100000000.5 1 -> 0.5 |
|
502 ddrmn843 remaindernear 100000000.9 1 -> -0.1 |
|
503 ddrmn844 remaindernear 100000000.999 1 -> -0.001 |
|
504 ddrmn850 remaindernear 100000003 5 -> -2 |
|
505 ddrmn851 remaindernear 10000003 5 -> -2 |
|
506 ddrmn852 remaindernear 1000003 5 -> -2 |
|
507 ddrmn853 remaindernear 100003 5 -> -2 |
|
508 ddrmn854 remaindernear 10003 5 -> -2 |
|
509 ddrmn855 remaindernear 1003 5 -> -2 |
|
510 ddrmn856 remaindernear 103 5 -> -2 |
|
511 ddrmn857 remaindernear 13 5 -> -2 |
|
512 ddrmn858 remaindernear 1 5 -> 1 |
|
513 |
|
514 -- Vladimir's cases 1234567890123456 |
|
515 ddrmn860 remaindernear 123.0e1 1000000000000000 -> 1230 |
|
516 ddrmn861 remaindernear 1230 1000000000000000 -> 1230 |
|
517 ddrmn862 remaindernear 12.3e2 1000000000000000 -> 1230 |
|
518 ddrmn863 remaindernear 1.23e3 1000000000000000 -> 1230 |
|
519 ddrmn864 remaindernear 123e1 1000000000000000 -> 1230 |
|
520 ddrmn870 remaindernear 123e1 1000000000000000 -> 1230 |
|
521 ddrmn871 remaindernear 123e1 100000000000000 -> 1230 |
|
522 ddrmn872 remaindernear 123e1 10000000000000 -> 1230 |
|
523 ddrmn873 remaindernear 123e1 1000000000000 -> 1230 |
|
524 ddrmn874 remaindernear 123e1 100000000000 -> 1230 |
|
525 ddrmn875 remaindernear 123e1 10000000000 -> 1230 |
|
526 ddrmn876 remaindernear 123e1 1000000000 -> 1230 |
|
527 ddrmn877 remaindernear 123e1 100000000 -> 1230 |
|
528 ddrmn878 remaindernear 1230 100000000 -> 1230 |
|
529 ddrmn879 remaindernear 123e1 10000000 -> 1230 |
|
530 ddrmn880 remaindernear 123e1 1000000 -> 1230 |
|
531 ddrmn881 remaindernear 123e1 100000 -> 1230 |
|
532 ddrmn882 remaindernear 123e1 10000 -> 1230 |
|
533 ddrmn883 remaindernear 123e1 1000 -> 230 |
|
534 ddrmn884 remaindernear 123e1 100 -> 30 |
|
535 ddrmn885 remaindernear 123e1 10 -> 0 |
|
536 ddrmn886 remaindernear 123e1 1 -> 0 |
|
537 |
|
538 ddrmn890 remaindernear 123e1 2000000000000000 -> 1230 |
|
539 ddrmn891 remaindernear 123e1 200000000000000 -> 1230 |
|
540 ddrmn892 remaindernear 123e1 20000000000000 -> 1230 |
|
541 ddrmn893 remaindernear 123e1 2000000000000 -> 1230 |
|
542 ddrmn894 remaindernear 123e1 200000000000 -> 1230 |
|
543 ddrmn895 remaindernear 123e1 20000000000 -> 1230 |
|
544 ddrmn896 remaindernear 123e1 2000000000 -> 1230 |
|
545 ddrmn897 remaindernear 123e1 200000000 -> 1230 |
|
546 ddrmn899 remaindernear 123e1 20000000 -> 1230 |
|
547 ddrmn900 remaindernear 123e1 2000000 -> 1230 |
|
548 ddrmn901 remaindernear 123e1 200000 -> 1230 |
|
549 ddrmn902 remaindernear 123e1 20000 -> 1230 |
|
550 ddrmn903 remaindernear 123e1 2000 -> -770 |
|
551 ddrmn904 remaindernear 123e1 200 -> 30 |
|
552 ddrmn905 remaindernear 123e1 20 -> -10 |
|
553 ddrmn906 remaindernear 123e1 2 -> 0 |
|
554 |
|
555 ddrmn910 remaindernear 123e1 5000000000000000 -> 1230 |
|
556 ddrmn911 remaindernear 123e1 500000000000000 -> 1230 |
|
557 ddrmn912 remaindernear 123e1 50000000000000 -> 1230 |
|
558 ddrmn913 remaindernear 123e1 5000000000000 -> 1230 |
|
559 ddrmn914 remaindernear 123e1 500000000000 -> 1230 |
|
560 ddrmn915 remaindernear 123e1 50000000000 -> 1230 |
|
561 ddrmn916 remaindernear 123e1 5000000000 -> 1230 |
|
562 ddrmn917 remaindernear 123e1 500000000 -> 1230 |
|
563 ddrmn919 remaindernear 123e1 50000000 -> 1230 |
|
564 ddrmn920 remaindernear 123e1 5000000 -> 1230 |
|
565 ddrmn921 remaindernear 123e1 500000 -> 1230 |
|
566 ddrmn922 remaindernear 123e1 50000 -> 1230 |
|
567 ddrmn923 remaindernear 123e1 5000 -> 1230 |
|
568 ddrmn924 remaindernear 123e1 500 -> 230 |
|
569 ddrmn925 remaindernear 123e1 50 -> -20 |
|
570 ddrmn926 remaindernear 123e1 5 -> 0 |
|
571 |
|
572 ddrmn930 remaindernear 123e1 9000000000000000 -> 1230 |
|
573 ddrmn931 remaindernear 123e1 900000000000000 -> 1230 |
|
574 ddrmn932 remaindernear 123e1 90000000000000 -> 1230 |
|
575 ddrmn933 remaindernear 123e1 9000000000000 -> 1230 |
|
576 ddrmn934 remaindernear 123e1 900000000000 -> 1230 |
|
577 ddrmn935 remaindernear 123e1 90000000000 -> 1230 |
|
578 ddrmn936 remaindernear 123e1 9000000000 -> 1230 |
|
579 ddrmn937 remaindernear 123e1 900000000 -> 1230 |
|
580 ddrmn939 remaindernear 123e1 90000000 -> 1230 |
|
581 ddrmn940 remaindernear 123e1 9000000 -> 1230 |
|
582 ddrmn941 remaindernear 123e1 900000 -> 1230 |
|
583 ddrmn942 remaindernear 123e1 90000 -> 1230 |
|
584 ddrmn943 remaindernear 123e1 9000 -> 1230 |
|
585 ddrmn944 remaindernear 123e1 900 -> 330 |
|
586 ddrmn945 remaindernear 123e1 90 -> -30 |
|
587 ddrmn946 remaindernear 123e1 9 -> -3 |
|
588 |
|
589 ddrmn950 remaindernear 123e1 1000000000000000 -> 1230 |
|
590 ddrmn961 remaindernear 123e1 2999999999999999 -> 1230 |
|
591 ddrmn962 remaindernear 123e1 3999999999999999 -> 1230 |
|
592 ddrmn963 remaindernear 123e1 4999999999999999 -> 1230 |
|
593 ddrmn964 remaindernear 123e1 5999999999999999 -> 1230 |
|
594 ddrmn965 remaindernear 123e1 6999999999999999 -> 1230 |
|
595 ddrmn966 remaindernear 123e1 7999999999999999 -> 1230 |
|
596 ddrmn967 remaindernear 123e1 8999999999999999 -> 1230 |
|
597 ddrmn968 remaindernear 123e1 9999999999999999 -> 1230 |
|
598 ddrmn969 remaindernear 123e1 9876543210987654 -> 1230 |
|
599 |
|
600 ddrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally |
|
601 |
|
602 |
|
603 -- overflow and underflow tests [from divide] |
|
604 ddrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible |
|
605 ddrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible |
|
606 ddrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible |
|
607 ddrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible |
|
608 ddrmn1055 remaindernear 1e-277 1e+311 -> 1E-277 |
|
609 ddrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277 |
|
610 ddrmn1057 remaindernear -1e-277 1e+311 -> -1E-277 |
|
611 ddrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277 |
|
612 |
|
613 -- destructive subtract |
|
614 ddrmn1100 remainderNear 1234567890123456 1.000000000000001 -> -0.234567890123455 |
|
615 ddrmn1101 remainderNear 1234567890123456 1.00000000000001 -> -0.34567890123444 |
|
616 ddrmn1102 remainderNear 1234567890123456 1.0000000000001 -> -0.4567890123333 |
|
617 ddrmn1103 remainderNear 1234567890123455 4.000000000000001 -> -1.308641972530864 |
|
618 ddrmn1104 remainderNear 1234567890123456 4.000000000000001 -> -0.308641972530864 |
|
619 ddrmn1115 remainderNear 1234567890123456 4.9999999999999 -> 0.6913578024696 |
|
620 ddrmn1116 remainderNear 1234567890123456 4.99999999999999 -> -1.53086421975308 |
|
621 ddrmn1117 remainderNear 1234567890123456 4.999999999999999 -> 1.246913578024691 |
|
622 ddrmn1118 remainderNear 1234567890123456 5.000000000000001 -> 0.753086421975309 |
|
623 ddrmn1119 remainderNear 1234567890123456 5.00000000000001 -> -1.46913578024691 |
|
624 ddrmn1110 remainderNear 1234567890123456 5.0000000000001 -> 1.3086421975314 |
|
625 |
|
626 -- Null tests |
|
627 ddrmn1000 remaindernear 10 # -> NaN Invalid_operation |
|
628 ddrmn1001 remaindernear # 10 -> NaN Invalid_operation |
|
629 |