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1 ------------------------------------------------------------------------ |
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2 -- dqRemainderNear.decTest -- decQuad 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 extended: 1 |
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23 clamp: 1 |
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24 precision: 34 |
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25 maxExponent: 6144 |
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26 minExponent: -6143 |
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27 rounding: half_even |
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28 |
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29 -- sanity checks (as base, above) |
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30 dqrmn001 remaindernear 1 1 -> 0 |
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31 dqrmn002 remaindernear 2 1 -> 0 |
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32 dqrmn003 remaindernear 1 2 -> 1 |
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33 dqrmn004 remaindernear 2 2 -> 0 |
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34 dqrmn005 remaindernear 0 1 -> 0 |
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35 dqrmn006 remaindernear 0 2 -> 0 |
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36 dqrmn007 remaindernear 1 3 -> 1 |
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37 dqrmn008 remaindernear 2 3 -> -1 |
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38 dqrmn009 remaindernear 3 3 -> 0 |
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39 |
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40 dqrmn010 remaindernear 2.4 1 -> 0.4 |
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41 dqrmn011 remaindernear 2.4 -1 -> 0.4 |
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42 dqrmn012 remaindernear -2.4 1 -> -0.4 |
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43 dqrmn013 remaindernear -2.4 -1 -> -0.4 |
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44 dqrmn014 remaindernear 2.40 1 -> 0.40 |
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45 dqrmn015 remaindernear 2.400 1 -> 0.400 |
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46 dqrmn016 remaindernear 2.4 2 -> 0.4 |
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47 dqrmn017 remaindernear 2.400 2 -> 0.400 |
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48 dqrmn018 remaindernear 2. 2 -> 0 |
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49 dqrmn019 remaindernear 20 20 -> 0 |
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50 |
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51 dqrmn020 remaindernear 187 187 -> 0 |
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52 dqrmn021 remaindernear 5 2 -> 1 |
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53 dqrmn022 remaindernear 5 2.0 -> 1.0 |
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54 dqrmn023 remaindernear 5 2.000 -> 1.000 |
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55 dqrmn024 remaindernear 5 0.200 -> 0.000 |
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56 dqrmn025 remaindernear 5 0.200 -> 0.000 |
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57 |
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58 dqrmn030 remaindernear 1 2 -> 1 |
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59 dqrmn031 remaindernear 1 4 -> 1 |
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60 dqrmn032 remaindernear 1 8 -> 1 |
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61 |
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62 dqrmn033 remaindernear 1 16 -> 1 |
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63 dqrmn034 remaindernear 1 32 -> 1 |
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64 dqrmn035 remaindernear 1 64 -> 1 |
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65 dqrmn040 remaindernear 1 -2 -> 1 |
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66 dqrmn041 remaindernear 1 -4 -> 1 |
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67 dqrmn042 remaindernear 1 -8 -> 1 |
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68 dqrmn043 remaindernear 1 -16 -> 1 |
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69 dqrmn044 remaindernear 1 -32 -> 1 |
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70 dqrmn045 remaindernear 1 -64 -> 1 |
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71 dqrmn050 remaindernear -1 2 -> -1 |
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72 dqrmn051 remaindernear -1 4 -> -1 |
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73 dqrmn052 remaindernear -1 8 -> -1 |
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74 dqrmn053 remaindernear -1 16 -> -1 |
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75 dqrmn054 remaindernear -1 32 -> -1 |
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76 dqrmn055 remaindernear -1 64 -> -1 |
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77 dqrmn060 remaindernear -1 -2 -> -1 |
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78 dqrmn061 remaindernear -1 -4 -> -1 |
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79 dqrmn062 remaindernear -1 -8 -> -1 |
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80 dqrmn063 remaindernear -1 -16 -> -1 |
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81 dqrmn064 remaindernear -1 -32 -> -1 |
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82 dqrmn065 remaindernear -1 -64 -> -1 |
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83 |
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84 dqrmn066 remaindernear 9.9 1 -> -0.1 |
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85 dqrmn067 remaindernear 99.7 1 -> -0.3 |
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86 dqrmn068 remaindernear 999999999 1 -> 0 |
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87 dqrmn069 remaindernear 999999999.4 1 -> 0.4 |
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88 dqrmn070 remaindernear 999999999.5 1 -> -0.5 |
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89 dqrmn071 remaindernear 999999999.9 1 -> -0.1 |
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90 dqrmn072 remaindernear 999999999.999 1 -> -0.001 |
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91 dqrmn073 remaindernear 999999.999999 1 -> -0.000001 |
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92 dqrmn074 remaindernear 9 1 -> 0 |
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93 dqrmn075 remaindernear 9999999999999999 1 -> 0 |
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94 dqrmn076 remaindernear 9999999999999999 2 -> -1 |
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95 dqrmn077 remaindernear 9999999999999999 3 -> 0 |
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96 dqrmn078 remaindernear 9999999999999999 4 -> -1 |
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97 |
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98 dqrmn080 remaindernear 0. 1 -> 0 |
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99 dqrmn081 remaindernear .0 1 -> 0.0 |
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100 dqrmn082 remaindernear 0.00 1 -> 0.00 |
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101 dqrmn083 remaindernear 0.00E+9 1 -> 0 |
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102 dqrmn084 remaindernear 0.00E+3 1 -> 0 |
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103 dqrmn085 remaindernear 0.00E+2 1 -> 0 |
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104 dqrmn086 remaindernear 0.00E+1 1 -> 0.0 |
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105 dqrmn087 remaindernear 0.00E+0 1 -> 0.00 |
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106 dqrmn088 remaindernear 0.00E-0 1 -> 0.00 |
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107 dqrmn089 remaindernear 0.00E-1 1 -> 0.000 |
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108 dqrmn090 remaindernear 0.00E-2 1 -> 0.0000 |
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109 dqrmn091 remaindernear 0.00E-3 1 -> 0.00000 |
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110 dqrmn092 remaindernear 0.00E-4 1 -> 0.000000 |
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111 dqrmn093 remaindernear 0.00E-5 1 -> 0E-7 |
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112 dqrmn094 remaindernear 0.00E-6 1 -> 0E-8 |
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113 dqrmn095 remaindernear 0.0000E-50 1 -> 0E-54 |
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114 |
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115 -- Various flavours of remaindernear by 0 |
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116 dqrmn101 remaindernear 0 0 -> NaN Division_undefined |
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117 dqrmn102 remaindernear 0 -0 -> NaN Division_undefined |
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118 dqrmn103 remaindernear -0 0 -> NaN Division_undefined |
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119 dqrmn104 remaindernear -0 -0 -> NaN Division_undefined |
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120 dqrmn105 remaindernear 0.0E5 0 -> NaN Division_undefined |
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121 dqrmn106 remaindernear 0.000 0 -> NaN Division_undefined |
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122 -- [Some think this next group should be Division_by_zero exception, but |
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123 -- IEEE 854 is explicit that it is Invalid operation .. for |
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124 -- remainder-near, anyway] |
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125 dqrmn107 remaindernear 0.0001 0 -> NaN Invalid_operation |
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126 dqrmn108 remaindernear 0.01 0 -> NaN Invalid_operation |
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127 dqrmn109 remaindernear 0.1 0 -> NaN Invalid_operation |
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128 dqrmn110 remaindernear 1 0 -> NaN Invalid_operation |
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129 dqrmn111 remaindernear 1 0.0 -> NaN Invalid_operation |
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130 dqrmn112 remaindernear 10 0.0 -> NaN Invalid_operation |
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131 dqrmn113 remaindernear 1E+100 0.0 -> NaN Invalid_operation |
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132 dqrmn114 remaindernear 1E+380 0 -> NaN Invalid_operation |
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133 dqrmn115 remaindernear 0.0001 -0 -> NaN Invalid_operation |
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134 dqrmn116 remaindernear 0.01 -0 -> NaN Invalid_operation |
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135 dqrmn119 remaindernear 0.1 -0 -> NaN Invalid_operation |
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136 dqrmn120 remaindernear 1 -0 -> NaN Invalid_operation |
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137 dqrmn121 remaindernear 1 -0.0 -> NaN Invalid_operation |
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138 dqrmn122 remaindernear 10 -0.0 -> NaN Invalid_operation |
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139 dqrmn123 remaindernear 1E+100 -0.0 -> NaN Invalid_operation |
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140 dqrmn124 remaindernear 1E+384 -0 -> NaN Invalid_operation |
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141 -- and zeros on left |
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142 dqrmn130 remaindernear 0 1 -> 0 |
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143 dqrmn131 remaindernear 0 -1 -> 0 |
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144 dqrmn132 remaindernear 0.0 1 -> 0.0 |
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145 dqrmn133 remaindernear 0.0 -1 -> 0.0 |
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146 dqrmn134 remaindernear -0 1 -> -0 |
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147 dqrmn135 remaindernear -0 -1 -> -0 |
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148 dqrmn136 remaindernear -0.0 1 -> -0.0 |
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149 dqrmn137 remaindernear -0.0 -1 -> -0.0 |
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150 |
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151 -- 0.5ers |
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152 dqrmn143 remaindernear 0.5 2 -> 0.5 |
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153 dqrmn144 remaindernear 0.5 2.1 -> 0.5 |
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154 dqrmn145 remaindernear 0.5 2.01 -> 0.50 |
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155 dqrmn146 remaindernear 0.5 2.001 -> 0.500 |
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156 dqrmn147 remaindernear 0.50 2 -> 0.50 |
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157 dqrmn148 remaindernear 0.50 2.01 -> 0.50 |
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158 dqrmn149 remaindernear 0.50 2.001 -> 0.500 |
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159 |
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160 -- steadies |
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161 dqrmn150 remaindernear 1 1 -> 0 |
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162 dqrmn151 remaindernear 1 2 -> 1 |
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163 dqrmn152 remaindernear 1 3 -> 1 |
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164 dqrmn153 remaindernear 1 4 -> 1 |
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165 dqrmn154 remaindernear 1 5 -> 1 |
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166 dqrmn155 remaindernear 1 6 -> 1 |
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167 dqrmn156 remaindernear 1 7 -> 1 |
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168 dqrmn157 remaindernear 1 8 -> 1 |
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169 dqrmn158 remaindernear 1 9 -> 1 |
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170 dqrmn159 remaindernear 1 10 -> 1 |
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171 dqrmn160 remaindernear 1 1 -> 0 |
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172 dqrmn161 remaindernear 2 1 -> 0 |
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173 dqrmn162 remaindernear 3 1 -> 0 |
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174 dqrmn163 remaindernear 4 1 -> 0 |
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175 dqrmn164 remaindernear 5 1 -> 0 |
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176 dqrmn165 remaindernear 6 1 -> 0 |
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177 dqrmn166 remaindernear 7 1 -> 0 |
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178 dqrmn167 remaindernear 8 1 -> 0 |
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179 dqrmn168 remaindernear 9 1 -> 0 |
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180 dqrmn169 remaindernear 10 1 -> 0 |
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181 |
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182 -- some differences from remainder |
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183 dqrmn171 remaindernear 0.4 1.020 -> 0.400 |
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184 dqrmn172 remaindernear 0.50 1.020 -> 0.500 |
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185 dqrmn173 remaindernear 0.51 1.020 -> 0.510 |
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186 dqrmn174 remaindernear 0.52 1.020 -> -0.500 |
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187 dqrmn175 remaindernear 0.6 1.020 -> -0.420 |
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188 |
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189 -- More flavours of remaindernear by 0 |
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190 dqrmn201 remaindernear 0 0 -> NaN Division_undefined |
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191 dqrmn202 remaindernear 0.0E5 0 -> NaN Division_undefined |
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192 dqrmn203 remaindernear 0.000 0 -> NaN Division_undefined |
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193 dqrmn204 remaindernear 0.0001 0 -> NaN Invalid_operation |
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194 dqrmn205 remaindernear 0.01 0 -> NaN Invalid_operation |
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195 dqrmn206 remaindernear 0.1 0 -> NaN Invalid_operation |
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196 dqrmn207 remaindernear 1 0 -> NaN Invalid_operation |
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197 dqrmn208 remaindernear 1 0.0 -> NaN Invalid_operation |
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198 dqrmn209 remaindernear 10 0.0 -> NaN Invalid_operation |
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199 dqrmn210 remaindernear 1E+100 0.0 -> NaN Invalid_operation |
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200 dqrmn211 remaindernear 1E+380 0 -> NaN Invalid_operation |
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201 |
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202 -- tests from the extended specification |
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203 dqrmn221 remaindernear 2.1 3 -> -0.9 |
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204 dqrmn222 remaindernear 10 6 -> -2 |
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205 dqrmn223 remaindernear 10 3 -> 1 |
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206 dqrmn224 remaindernear -10 3 -> -1 |
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207 dqrmn225 remaindernear 10.2 1 -> 0.2 |
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208 dqrmn226 remaindernear 10 0.3 -> 0.1 |
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209 dqrmn227 remaindernear 3.6 1.3 -> -0.3 |
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210 |
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211 -- some differences from remainder |
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212 dqrmn231 remaindernear -0.4 1.020 -> -0.400 |
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213 dqrmn232 remaindernear -0.50 1.020 -> -0.500 |
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214 dqrmn233 remaindernear -0.51 1.020 -> -0.510 |
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215 dqrmn234 remaindernear -0.52 1.020 -> 0.500 |
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216 dqrmn235 remaindernear -0.6 1.020 -> 0.420 |
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217 |
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218 -- high Xs |
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219 dqrmn240 remaindernear 1E+2 1.00 -> 0.00 |
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220 |
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221 -- dqrmn3xx are from DiagBigDecimal |
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222 dqrmn301 remaindernear 1 3 -> 1 |
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223 dqrmn302 remaindernear 5 5 -> 0 |
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224 dqrmn303 remaindernear 13 10 -> 3 |
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225 dqrmn304 remaindernear 13 50 -> 13 |
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226 dqrmn305 remaindernear 13 100 -> 13 |
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227 dqrmn306 remaindernear 13 1000 -> 13 |
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228 dqrmn307 remaindernear .13 1 -> 0.13 |
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229 dqrmn308 remaindernear 0.133 1 -> 0.133 |
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230 dqrmn309 remaindernear 0.1033 1 -> 0.1033 |
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231 dqrmn310 remaindernear 1.033 1 -> 0.033 |
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232 dqrmn311 remaindernear 10.33 1 -> 0.33 |
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233 dqrmn312 remaindernear 10.33 10 -> 0.33 |
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234 dqrmn313 remaindernear 103.3 1 -> 0.3 |
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235 dqrmn314 remaindernear 133 10 -> 3 |
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236 dqrmn315 remaindernear 1033 10 -> 3 |
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237 dqrmn316 remaindernear 1033 50 -> -17 |
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238 dqrmn317 remaindernear 101.0 3 -> -1.0 |
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239 dqrmn318 remaindernear 102.0 3 -> 0.0 |
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240 dqrmn319 remaindernear 103.0 3 -> 1.0 |
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241 dqrmn320 remaindernear 2.40 1 -> 0.40 |
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242 dqrmn321 remaindernear 2.400 1 -> 0.400 |
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243 dqrmn322 remaindernear 2.4 1 -> 0.4 |
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244 dqrmn323 remaindernear 2.4 2 -> 0.4 |
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245 dqrmn324 remaindernear 2.400 2 -> 0.400 |
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246 dqrmn325 remaindernear 1 0.3 -> 0.1 |
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247 dqrmn326 remaindernear 1 0.30 -> 0.10 |
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248 dqrmn327 remaindernear 1 0.300 -> 0.100 |
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249 dqrmn328 remaindernear 1 0.3000 -> 0.1000 |
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250 dqrmn329 remaindernear 1.0 0.3 -> 0.1 |
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251 dqrmn330 remaindernear 1.00 0.3 -> 0.10 |
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252 dqrmn331 remaindernear 1.000 0.3 -> 0.100 |
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253 dqrmn332 remaindernear 1.0000 0.3 -> 0.1000 |
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254 dqrmn333 remaindernear 0.5 2 -> 0.5 |
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255 dqrmn334 remaindernear 0.5 2.1 -> 0.5 |
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256 dqrmn335 remaindernear 0.5 2.01 -> 0.50 |
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257 dqrmn336 remaindernear 0.5 2.001 -> 0.500 |
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258 dqrmn337 remaindernear 0.50 2 -> 0.50 |
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259 dqrmn338 remaindernear 0.50 2.01 -> 0.50 |
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260 dqrmn339 remaindernear 0.50 2.001 -> 0.500 |
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261 |
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262 dqrmn340 remaindernear 0.5 0.5000001 -> -1E-7 |
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263 dqrmn341 remaindernear 0.5 0.50000001 -> -1E-8 |
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264 dqrmn342 remaindernear 0.5 0.500000001 -> -1E-9 |
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265 dqrmn343 remaindernear 0.5 0.5000000001 -> -1E-10 |
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266 dqrmn344 remaindernear 0.5 0.50000000001 -> -1E-11 |
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267 dqrmn345 remaindernear 0.5 0.4999999 -> 1E-7 |
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268 dqrmn346 remaindernear 0.5 0.49999999 -> 1E-8 |
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269 dqrmn347 remaindernear 0.5 0.499999999 -> 1E-9 |
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270 dqrmn348 remaindernear 0.5 0.4999999999 -> 1E-10 |
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271 dqrmn349 remaindernear 0.5 0.49999999999 -> 1E-11 |
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272 dqrmn350 remaindernear 0.5 0.499999999999 -> 1E-12 |
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273 |
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274 dqrmn351 remaindernear 0.03 7 -> 0.03 |
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275 dqrmn352 remaindernear 5 2 -> 1 |
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276 dqrmn353 remaindernear 4.1 2 -> 0.1 |
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277 dqrmn354 remaindernear 4.01 2 -> 0.01 |
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278 dqrmn355 remaindernear 4.001 2 -> 0.001 |
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279 dqrmn356 remaindernear 4.0001 2 -> 0.0001 |
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280 dqrmn357 remaindernear 4.00001 2 -> 0.00001 |
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281 dqrmn358 remaindernear 4.000001 2 -> 0.000001 |
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282 dqrmn359 remaindernear 4.0000001 2 -> 1E-7 |
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283 |
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284 dqrmn360 remaindernear 1.2 0.7345 -> -0.2690 |
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285 dqrmn361 remaindernear 0.8 12 -> 0.8 |
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286 dqrmn362 remaindernear 0.8 0.2 -> 0.0 |
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287 dqrmn363 remaindernear 0.8 0.3 -> -0.1 |
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288 dqrmn364 remaindernear 0.800 12 -> 0.800 |
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289 dqrmn365 remaindernear 0.800 1.7 -> 0.800 |
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290 dqrmn366 remaindernear 2.400 2 -> 0.400 |
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291 |
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292 -- round to even |
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293 dqrmn371 remaindernear 121 2 -> 1 |
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294 dqrmn372 remaindernear 122 2 -> 0 |
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295 dqrmn373 remaindernear 123 2 -> -1 |
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296 dqrmn374 remaindernear 124 2 -> 0 |
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297 dqrmn375 remaindernear 125 2 -> 1 |
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298 dqrmn376 remaindernear 126 2 -> 0 |
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299 dqrmn377 remaindernear 127 2 -> -1 |
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300 |
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301 dqrmn381 remaindernear 12345 1 -> 0 |
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302 dqrmn382 remaindernear 12345 1.0001 -> -0.2344 |
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303 dqrmn383 remaindernear 12345 1.001 -> -0.333 |
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304 dqrmn384 remaindernear 12345 1.01 -> -0.23 |
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305 dqrmn385 remaindernear 12345 1.1 -> -0.3 |
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306 dqrmn386 remaindernear 12355 4 -> -1 |
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307 dqrmn387 remaindernear 12345 4 -> 1 |
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308 dqrmn388 remaindernear 12355 4.0001 -> -1.3089 |
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309 dqrmn389 remaindernear 12345 4.0001 -> 0.6914 |
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310 dqrmn390 remaindernear 12345 4.9 -> 1.9 |
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311 dqrmn391 remaindernear 12345 4.99 -> -0.26 |
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312 dqrmn392 remaindernear 12345 4.999 -> 2.469 |
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313 dqrmn393 remaindernear 12345 4.9999 -> 0.2469 |
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314 dqrmn394 remaindernear 12345 5 -> 0 |
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315 dqrmn395 remaindernear 12345 5.0001 -> -0.2469 |
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316 dqrmn396 remaindernear 12345 5.001 -> -2.469 |
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317 dqrmn397 remaindernear 12345 5.01 -> 0.36 |
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318 dqrmn398 remaindernear 12345 5.1 -> -2.1 |
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319 |
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320 -- the nasty division-by-1 cases |
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321 dqrmn401 remaindernear 0.4 1 -> 0.4 |
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322 dqrmn402 remaindernear 0.45 1 -> 0.45 |
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323 dqrmn403 remaindernear 0.455 1 -> 0.455 |
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324 dqrmn404 remaindernear 0.4555 1 -> 0.4555 |
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325 dqrmn405 remaindernear 0.45555 1 -> 0.45555 |
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326 dqrmn406 remaindernear 0.455555 1 -> 0.455555 |
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327 dqrmn407 remaindernear 0.4555555 1 -> 0.4555555 |
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328 dqrmn408 remaindernear 0.45555555 1 -> 0.45555555 |
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329 dqrmn409 remaindernear 0.455555555 1 -> 0.455555555 |
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330 -- with spill... [412 exercises sticktab loop] |
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331 dqrmn411 remaindernear 0.5 1 -> 0.5 |
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332 dqrmn412 remaindernear 0.55 1 -> -0.45 |
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333 dqrmn413 remaindernear 0.555 1 -> -0.445 |
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334 dqrmn414 remaindernear 0.5555 1 -> -0.4445 |
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335 dqrmn415 remaindernear 0.55555 1 -> -0.44445 |
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336 dqrmn416 remaindernear 0.555555 1 -> -0.444445 |
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337 dqrmn417 remaindernear 0.5555555 1 -> -0.4444445 |
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338 dqrmn418 remaindernear 0.55555555 1 -> -0.44444445 |
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339 dqrmn419 remaindernear 0.555555555 1 -> -0.444444445 |
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340 |
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341 -- folddowns |
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342 dqrmn421 remaindernear 1E+6144 1 -> NaN Division_impossible |
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343 dqrmn422 remaindernear 1E+6144 1E+6143 -> 0E+6111 Clamped |
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344 dqrmn423 remaindernear 1E+6144 2E+6143 -> 0E+6111 Clamped |
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345 dqrmn424 remaindernear 1E+6144 3E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped |
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346 dqrmn425 remaindernear 1E+6144 4E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped |
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347 dqrmn426 remaindernear 1E+6144 5E+6143 -> 0E+6111 Clamped |
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348 dqrmn427 remaindernear 1E+6144 6E+6143 -> -2.00000000000000000000000000000000E+6143 Clamped |
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349 dqrmn428 remaindernear 1E+6144 7E+6143 -> 3.00000000000000000000000000000000E+6143 Clamped |
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350 dqrmn429 remaindernear 1E+6144 8E+6143 -> 2.00000000000000000000000000000000E+6143 Clamped |
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351 dqrmn430 remaindernear 1E+6144 9E+6143 -> 1.00000000000000000000000000000000E+6143 Clamped |
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352 -- tinies |
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353 dqrmn431 remaindernear 1E-6175 1E-6176 -> 0E-6176 |
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354 dqrmn432 remaindernear 1E-6175 2E-6176 -> 0E-6176 |
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355 dqrmn433 remaindernear 1E-6175 3E-6176 -> 1E-6176 Subnormal |
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356 dqrmn434 remaindernear 1E-6175 4E-6176 -> 2E-6176 Subnormal |
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357 dqrmn435 remaindernear 1E-6175 5E-6176 -> 0E-6176 |
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358 dqrmn436 remaindernear 1E-6175 6E-6176 -> -2E-6176 Subnormal |
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359 dqrmn437 remaindernear 1E-6175 7E-6176 -> 3E-6176 Subnormal |
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360 dqrmn438 remaindernear 1E-6175 8E-6176 -> 2E-6176 Subnormal |
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361 dqrmn439 remaindernear 1E-6175 9E-6176 -> 1E-6176 Subnormal |
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362 dqrmn440 remaindernear 1E-6175 10E-6176 -> 0E-6176 |
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363 dqrmn441 remaindernear 1E-6175 11E-6176 -> -1E-6176 Subnormal |
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364 dqrmn442 remaindernear 100E-6175 11E-6176 -> -1E-6176 Subnormal |
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365 dqrmn443 remaindernear 100E-6175 20E-6176 -> 0E-6176 |
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366 dqrmn444 remaindernear 100E-6175 21E-6176 -> -8E-6176 Subnormal |
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367 dqrmn445 remaindernear 100E-6175 30E-6176 -> 1.0E-6175 Subnormal |
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368 |
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369 -- zero signs |
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370 dqrmn650 remaindernear 1 1 -> 0 |
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371 dqrmn651 remaindernear -1 1 -> -0 |
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372 dqrmn652 remaindernear 1 -1 -> 0 |
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373 dqrmn653 remaindernear -1 -1 -> -0 |
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374 dqrmn654 remaindernear 0 1 -> 0 |
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375 dqrmn655 remaindernear -0 1 -> -0 |
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376 dqrmn656 remaindernear 0 -1 -> 0 |
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377 dqrmn657 remaindernear -0 -1 -> -0 |
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378 dqrmn658 remaindernear 0.00 1 -> 0.00 |
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379 dqrmn659 remaindernear -0.00 1 -> -0.00 |
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380 |
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381 -- Specials |
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382 dqrmn680 remaindernear Inf -Inf -> NaN Invalid_operation |
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383 dqrmn681 remaindernear Inf -1000 -> NaN Invalid_operation |
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384 dqrmn682 remaindernear Inf -1 -> NaN Invalid_operation |
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385 dqrmn683 remaindernear Inf 0 -> NaN Invalid_operation |
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386 dqrmn684 remaindernear Inf -0 -> NaN Invalid_operation |
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387 dqrmn685 remaindernear Inf 1 -> NaN Invalid_operation |
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388 dqrmn686 remaindernear Inf 1000 -> NaN Invalid_operation |
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389 dqrmn687 remaindernear Inf Inf -> NaN Invalid_operation |
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390 dqrmn688 remaindernear -1000 Inf -> -1000 |
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391 dqrmn689 remaindernear -Inf Inf -> NaN Invalid_operation |
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392 dqrmn691 remaindernear -1 Inf -> -1 |
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393 dqrmn692 remaindernear 0 Inf -> 0 |
|
394 dqrmn693 remaindernear -0 Inf -> -0 |
|
395 dqrmn694 remaindernear 1 Inf -> 1 |
|
396 dqrmn695 remaindernear 1000 Inf -> 1000 |
|
397 dqrmn696 remaindernear Inf Inf -> NaN Invalid_operation |
|
398 |
|
399 dqrmn700 remaindernear -Inf -Inf -> NaN Invalid_operation |
|
400 dqrmn701 remaindernear -Inf -1000 -> NaN Invalid_operation |
|
401 dqrmn702 remaindernear -Inf -1 -> NaN Invalid_operation |
|
402 dqrmn703 remaindernear -Inf -0 -> NaN Invalid_operation |
|
403 dqrmn704 remaindernear -Inf 0 -> NaN Invalid_operation |
|
404 dqrmn705 remaindernear -Inf 1 -> NaN Invalid_operation |
|
405 dqrmn706 remaindernear -Inf 1000 -> NaN Invalid_operation |
|
406 dqrmn707 remaindernear -Inf Inf -> NaN Invalid_operation |
|
407 dqrmn708 remaindernear -Inf -Inf -> NaN Invalid_operation |
|
408 dqrmn709 remaindernear -1000 Inf -> -1000 |
|
409 dqrmn710 remaindernear -1 -Inf -> -1 |
|
410 dqrmn711 remaindernear -0 -Inf -> -0 |
|
411 dqrmn712 remaindernear 0 -Inf -> 0 |
|
412 dqrmn713 remaindernear 1 -Inf -> 1 |
|
413 dqrmn714 remaindernear 1000 -Inf -> 1000 |
|
414 dqrmn715 remaindernear Inf -Inf -> NaN Invalid_operation |
|
415 |
|
416 dqrmn721 remaindernear NaN -Inf -> NaN |
|
417 dqrmn722 remaindernear NaN -1000 -> NaN |
|
418 dqrmn723 remaindernear NaN -1 -> NaN |
|
419 dqrmn724 remaindernear NaN -0 -> NaN |
|
420 dqrmn725 remaindernear -NaN 0 -> -NaN |
|
421 dqrmn726 remaindernear NaN 1 -> NaN |
|
422 dqrmn727 remaindernear NaN 1000 -> NaN |
|
423 dqrmn728 remaindernear NaN Inf -> NaN |
|
424 dqrmn729 remaindernear NaN -NaN -> NaN |
|
425 dqrmn730 remaindernear -Inf NaN -> NaN |
|
426 dqrmn731 remaindernear -1000 NaN -> NaN |
|
427 dqrmn732 remaindernear -1 NaN -> NaN |
|
428 dqrmn733 remaindernear -0 -NaN -> -NaN |
|
429 dqrmn734 remaindernear 0 NaN -> NaN |
|
430 dqrmn735 remaindernear 1 -NaN -> -NaN |
|
431 dqrmn736 remaindernear 1000 NaN -> NaN |
|
432 dqrmn737 remaindernear Inf NaN -> NaN |
|
433 |
|
434 dqrmn741 remaindernear sNaN -Inf -> NaN Invalid_operation |
|
435 dqrmn742 remaindernear sNaN -1000 -> NaN Invalid_operation |
|
436 dqrmn743 remaindernear -sNaN -1 -> -NaN Invalid_operation |
|
437 dqrmn744 remaindernear sNaN -0 -> NaN Invalid_operation |
|
438 dqrmn745 remaindernear sNaN 0 -> NaN Invalid_operation |
|
439 dqrmn746 remaindernear sNaN 1 -> NaN Invalid_operation |
|
440 dqrmn747 remaindernear sNaN 1000 -> NaN Invalid_operation |
|
441 dqrmn749 remaindernear sNaN NaN -> NaN Invalid_operation |
|
442 dqrmn750 remaindernear sNaN sNaN -> NaN Invalid_operation |
|
443 dqrmn751 remaindernear NaN sNaN -> NaN Invalid_operation |
|
444 dqrmn752 remaindernear -Inf sNaN -> NaN Invalid_operation |
|
445 dqrmn753 remaindernear -1000 sNaN -> NaN Invalid_operation |
|
446 dqrmn754 remaindernear -1 sNaN -> NaN Invalid_operation |
|
447 dqrmn755 remaindernear -0 sNaN -> NaN Invalid_operation |
|
448 dqrmn756 remaindernear 0 sNaN -> NaN Invalid_operation |
|
449 dqrmn757 remaindernear 1 sNaN -> NaN Invalid_operation |
|
450 dqrmn758 remaindernear 1000 sNaN -> NaN Invalid_operation |
|
451 dqrmn759 remaindernear Inf -sNaN -> -NaN Invalid_operation |
|
452 |
|
453 -- propaging NaNs |
|
454 dqrmn760 remaindernear NaN1 NaN7 -> NaN1 |
|
455 dqrmn761 remaindernear sNaN2 NaN8 -> NaN2 Invalid_operation |
|
456 dqrmn762 remaindernear NaN3 sNaN9 -> NaN9 Invalid_operation |
|
457 dqrmn763 remaindernear sNaN4 sNaN10 -> NaN4 Invalid_operation |
|
458 dqrmn764 remaindernear 15 NaN11 -> NaN11 |
|
459 dqrmn765 remaindernear NaN6 NaN12 -> NaN6 |
|
460 dqrmn766 remaindernear Inf NaN13 -> NaN13 |
|
461 dqrmn767 remaindernear NaN14 -Inf -> NaN14 |
|
462 dqrmn768 remaindernear 0 NaN15 -> NaN15 |
|
463 dqrmn769 remaindernear NaN16 -0 -> NaN16 |
|
464 |
|
465 -- edge cases of impossible |
|
466 dqrmn770 remaindernear 1234500000000000000000067890123456 10 -> -4 |
|
467 dqrmn771 remaindernear 1234500000000000000000067890123456 1 -> 0 |
|
468 dqrmn772 remaindernear 1234500000000000000000067890123456 0.1 -> NaN Division_impossible |
|
469 dqrmn773 remaindernear 1234500000000000000000067890123456 0.01 -> NaN Division_impossible |
|
470 |
|
471 -- long operand checks |
|
472 dqrmn801 remaindernear 12345678000 100 -> 0 |
|
473 dqrmn802 remaindernear 1 12345678000 -> 1 |
|
474 dqrmn803 remaindernear 1234567800 10 -> 0 |
|
475 dqrmn804 remaindernear 1 1234567800 -> 1 |
|
476 dqrmn805 remaindernear 1234567890 10 -> 0 |
|
477 dqrmn806 remaindernear 1 1234567890 -> 1 |
|
478 dqrmn807 remaindernear 1234567891 10 -> 1 |
|
479 dqrmn808 remaindernear 1 1234567891 -> 1 |
|
480 dqrmn809 remaindernear 12345678901 100 -> 1 |
|
481 dqrmn810 remaindernear 1 12345678901 -> 1 |
|
482 dqrmn811 remaindernear 1234567896 10 -> -4 |
|
483 dqrmn812 remaindernear 1 1234567896 -> 1 |
|
484 |
|
485 dqrmn821 remaindernear 12345678000 100 -> 0 |
|
486 dqrmn822 remaindernear 1 12345678000 -> 1 |
|
487 dqrmn823 remaindernear 1234567800 10 -> 0 |
|
488 dqrmn824 remaindernear 1 1234567800 -> 1 |
|
489 dqrmn825 remaindernear 1234567890 10 -> 0 |
|
490 dqrmn826 remaindernear 1 1234567890 -> 1 |
|
491 dqrmn827 remaindernear 1234567891 10 -> 1 |
|
492 dqrmn828 remaindernear 1 1234567891 -> 1 |
|
493 dqrmn829 remaindernear 12345678901 100 -> 1 |
|
494 dqrmn830 remaindernear 1 12345678901 -> 1 |
|
495 dqrmn831 remaindernear 1234567896 10 -> -4 |
|
496 dqrmn832 remaindernear 1 1234567896 -> 1 |
|
497 |
|
498 -- from divideint |
|
499 dqrmn840 remaindernear 100000000.0 1 -> 0.0 |
|
500 dqrmn841 remaindernear 100000000.4 1 -> 0.4 |
|
501 dqrmn842 remaindernear 100000000.5 1 -> 0.5 |
|
502 dqrmn843 remaindernear 100000000.9 1 -> -0.1 |
|
503 dqrmn844 remaindernear 100000000.999 1 -> -0.001 |
|
504 dqrmn850 remaindernear 100000003 5 -> -2 |
|
505 dqrmn851 remaindernear 10000003 5 -> -2 |
|
506 dqrmn852 remaindernear 1000003 5 -> -2 |
|
507 dqrmn853 remaindernear 100003 5 -> -2 |
|
508 dqrmn854 remaindernear 10003 5 -> -2 |
|
509 dqrmn855 remaindernear 1003 5 -> -2 |
|
510 dqrmn856 remaindernear 103 5 -> -2 |
|
511 dqrmn857 remaindernear 13 5 -> -2 |
|
512 dqrmn858 remaindernear 1 5 -> 1 |
|
513 |
|
514 -- Vladimir's cases 1234567890123456 |
|
515 dqrmn860 remaindernear 123.0e1 1000000000000000 -> 1230 |
|
516 dqrmn861 remaindernear 1230 1000000000000000 -> 1230 |
|
517 dqrmn862 remaindernear 12.3e2 1000000000000000 -> 1230 |
|
518 dqrmn863 remaindernear 1.23e3 1000000000000000 -> 1230 |
|
519 dqrmn864 remaindernear 123e1 1000000000000000 -> 1230 |
|
520 dqrmn870 remaindernear 123e1 1000000000000000 -> 1230 |
|
521 dqrmn871 remaindernear 123e1 100000000000000 -> 1230 |
|
522 dqrmn872 remaindernear 123e1 10000000000000 -> 1230 |
|
523 dqrmn873 remaindernear 123e1 1000000000000 -> 1230 |
|
524 dqrmn874 remaindernear 123e1 100000000000 -> 1230 |
|
525 dqrmn875 remaindernear 123e1 10000000000 -> 1230 |
|
526 dqrmn876 remaindernear 123e1 1000000000 -> 1230 |
|
527 dqrmn877 remaindernear 123e1 100000000 -> 1230 |
|
528 dqrmn878 remaindernear 1230 100000000 -> 1230 |
|
529 dqrmn879 remaindernear 123e1 10000000 -> 1230 |
|
530 dqrmn880 remaindernear 123e1 1000000 -> 1230 |
|
531 dqrmn881 remaindernear 123e1 100000 -> 1230 |
|
532 dqrmn882 remaindernear 123e1 10000 -> 1230 |
|
533 dqrmn883 remaindernear 123e1 1000 -> 230 |
|
534 dqrmn884 remaindernear 123e1 100 -> 30 |
|
535 dqrmn885 remaindernear 123e1 10 -> 0 |
|
536 dqrmn886 remaindernear 123e1 1 -> 0 |
|
537 |
|
538 dqrmn890 remaindernear 123e1 2000000000000000 -> 1230 |
|
539 dqrmn891 remaindernear 123e1 200000000000000 -> 1230 |
|
540 dqrmn892 remaindernear 123e1 20000000000000 -> 1230 |
|
541 dqrmn893 remaindernear 123e1 2000000000000 -> 1230 |
|
542 dqrmn894 remaindernear 123e1 200000000000 -> 1230 |
|
543 dqrmn895 remaindernear 123e1 20000000000 -> 1230 |
|
544 dqrmn896 remaindernear 123e1 2000000000 -> 1230 |
|
545 dqrmn897 remaindernear 123e1 200000000 -> 1230 |
|
546 dqrmn899 remaindernear 123e1 20000000 -> 1230 |
|
547 dqrmn900 remaindernear 123e1 2000000 -> 1230 |
|
548 dqrmn901 remaindernear 123e1 200000 -> 1230 |
|
549 dqrmn902 remaindernear 123e1 20000 -> 1230 |
|
550 dqrmn903 remaindernear 123e1 2000 -> -770 |
|
551 dqrmn904 remaindernear 123e1 200 -> 30 |
|
552 dqrmn905 remaindernear 123e1 20 -> -10 |
|
553 dqrmn906 remaindernear 123e1 2 -> 0 |
|
554 |
|
555 dqrmn910 remaindernear 123e1 5000000000000000 -> 1230 |
|
556 dqrmn911 remaindernear 123e1 500000000000000 -> 1230 |
|
557 dqrmn912 remaindernear 123e1 50000000000000 -> 1230 |
|
558 dqrmn913 remaindernear 123e1 5000000000000 -> 1230 |
|
559 dqrmn914 remaindernear 123e1 500000000000 -> 1230 |
|
560 dqrmn915 remaindernear 123e1 50000000000 -> 1230 |
|
561 dqrmn916 remaindernear 123e1 5000000000 -> 1230 |
|
562 dqrmn917 remaindernear 123e1 500000000 -> 1230 |
|
563 dqrmn919 remaindernear 123e1 50000000 -> 1230 |
|
564 dqrmn920 remaindernear 123e1 5000000 -> 1230 |
|
565 dqrmn921 remaindernear 123e1 500000 -> 1230 |
|
566 dqrmn922 remaindernear 123e1 50000 -> 1230 |
|
567 dqrmn923 remaindernear 123e1 5000 -> 1230 |
|
568 dqrmn924 remaindernear 123e1 500 -> 230 |
|
569 dqrmn925 remaindernear 123e1 50 -> -20 |
|
570 dqrmn926 remaindernear 123e1 5 -> 0 |
|
571 |
|
572 dqrmn930 remaindernear 123e1 9000000000000000 -> 1230 |
|
573 dqrmn931 remaindernear 123e1 900000000000000 -> 1230 |
|
574 dqrmn932 remaindernear 123e1 90000000000000 -> 1230 |
|
575 dqrmn933 remaindernear 123e1 9000000000000 -> 1230 |
|
576 dqrmn934 remaindernear 123e1 900000000000 -> 1230 |
|
577 dqrmn935 remaindernear 123e1 90000000000 -> 1230 |
|
578 dqrmn936 remaindernear 123e1 9000000000 -> 1230 |
|
579 dqrmn937 remaindernear 123e1 900000000 -> 1230 |
|
580 dqrmn939 remaindernear 123e1 90000000 -> 1230 |
|
581 dqrmn940 remaindernear 123e1 9000000 -> 1230 |
|
582 dqrmn941 remaindernear 123e1 900000 -> 1230 |
|
583 dqrmn942 remaindernear 123e1 90000 -> 1230 |
|
584 dqrmn943 remaindernear 123e1 9000 -> 1230 |
|
585 dqrmn944 remaindernear 123e1 900 -> 330 |
|
586 dqrmn945 remaindernear 123e1 90 -> -30 |
|
587 dqrmn946 remaindernear 123e1 9 -> -3 |
|
588 |
|
589 dqrmn950 remaindernear 123e1 1000000000000000 -> 1230 |
|
590 dqrmn961 remaindernear 123e1 2999999999999999 -> 1230 |
|
591 dqrmn962 remaindernear 123e1 3999999999999999 -> 1230 |
|
592 dqrmn963 remaindernear 123e1 4999999999999999 -> 1230 |
|
593 dqrmn964 remaindernear 123e1 5999999999999999 -> 1230 |
|
594 dqrmn965 remaindernear 123e1 6999999999999999 -> 1230 |
|
595 dqrmn966 remaindernear 123e1 7999999999999999 -> 1230 |
|
596 dqrmn967 remaindernear 123e1 8999999999999999 -> 1230 |
|
597 dqrmn968 remaindernear 123e1 9999999999999999 -> 1230 |
|
598 dqrmn969 remaindernear 123e1 9876543210987654 -> 1230 |
|
599 |
|
600 dqrmn980 remaindernear 123e1 1000E299 -> 1.23E+3 -- 123E+1 internally |
|
601 |
|
602 -- overflow and underflow tests [from divide] |
|
603 dqrmn1051 remaindernear 1e+277 1e-311 -> NaN Division_impossible |
|
604 dqrmn1052 remaindernear 1e+277 -1e-311 -> NaN Division_impossible |
|
605 dqrmn1053 remaindernear -1e+277 1e-311 -> NaN Division_impossible |
|
606 dqrmn1054 remaindernear -1e+277 -1e-311 -> NaN Division_impossible |
|
607 dqrmn1055 remaindernear 1e-277 1e+311 -> 1E-277 |
|
608 dqrmn1056 remaindernear 1e-277 -1e+311 -> 1E-277 |
|
609 dqrmn1057 remaindernear -1e-277 1e+311 -> -1E-277 |
|
610 dqrmn1058 remaindernear -1e-277 -1e+311 -> -1E-277 |
|
611 |
|
612 -- Gyuris example |
|
613 dqrmn1070 remainder 8.336804418094040989630006819881709E-6143 8.336804418094040989630006819889000E-6143 -> 8.336804418094040989630006819881709E-6143 |
|
614 |
|
615 -- destructive subtract |
|
616 dqrmn1101 remaindernear 1234567890123456789012345678901234 1.000000000000000000000000000000001 -> -0.234567890123456789012345678901233 |
|
617 dqrmn1102 remaindernear 1234567890123456789012345678901234 1.00000000000000000000000000000001 -> -0.34567890123456789012345678901222 |
|
618 dqrmn1103 remaindernear 1234567890123456789012345678901234 1.0000000000000000000000000000001 -> -0.4567890123456789012345678901111 |
|
619 dqrmn1104 remaindernear 1234567890123456789012345678901255 4.000000000000000000000000000000001 -> -1.308641972530864197253086419725314 |
|
620 dqrmn1105 remaindernear 1234567890123456789012345678901234 4.000000000000000000000000000000001 -> 1.691358027469135802746913580274692 |
|
621 dqrmn1106 remaindernear 1234567890123456789012345678901234 4.9999999999999999999999999999999 -> -1.3086421975308642197530864219748 |
|
622 dqrmn1107 remaindernear 1234567890123456789012345678901234 4.99999999999999999999999999999999 -> 1.46913578024691357802469135780247 |
|
623 dqrmn1108 remaindernear 1234567890123456789012345678901234 4.999999999999999999999999999999999 -> -0.753086421975308642197530864219753 |
|
624 dqrmn1109 remaindernear 1234567890123456789012345678901234 5.000000000000000000000000000000001 -> -1.246913578024691357802469135780247 |
|
625 dqrmn1110 remaindernear 1234567890123456789012345678901234 5.00000000000000000000000000000001 -> 1.53086421975308642197530864219754 |
|
626 dqrmn1111 remaindernear 1234567890123456789012345678901234 5.0000000000000000000000000000001 -> -0.6913578024691357802469135780242 |
|
627 |
|
628 -- Null tests |
|
629 dqrmn1000 remaindernear 10 # -> NaN Invalid_operation |
|
630 dqrmn1001 remaindernear # 10 -> NaN Invalid_operation |
|
631 |