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annotate Lib/test/decimaltestdata/ddMultiply.decTest @ 54294:dba767bc3155 legacy-trunk

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remove mention of old ctypes version
author Benjamin Peterson <benjamin@python.org>
date Sat, 23 May 2009 20:59:09 +0000
parents b3901c5660f7
children 670caa9775f6
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 ------------------------------------------------------------------------
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2 -- ddMultiply.decTest -- decDouble multiplication --
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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 -- This set of tests are for decDoubles only; all arguments are
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23 -- representable in a decDouble
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24 precision: 16
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25 maxExponent: 384
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26 minExponent: -383
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27 extended: 1
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28 clamp: 1
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29 rounding: half_even
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30
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31 -- sanity checks
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32 ddmul000 multiply 2 2 -> 4
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33 ddmul001 multiply 2 3 -> 6
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34 ddmul002 multiply 5 1 -> 5
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35 ddmul003 multiply 5 2 -> 10
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36 ddmul004 multiply 1.20 2 -> 2.40
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37 ddmul005 multiply 1.20 0 -> 0.00
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38 ddmul006 multiply 1.20 -2 -> -2.40
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39 ddmul007 multiply -1.20 2 -> -2.40
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40 ddmul008 multiply -1.20 0 -> -0.00
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41 ddmul009 multiply -1.20 -2 -> 2.40
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42 ddmul010 multiply 5.09 7.1 -> 36.139
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43 ddmul011 multiply 2.5 4 -> 10.0
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44 ddmul012 multiply 2.50 4 -> 10.00
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45 ddmul013 multiply 1.23456789 1.00000000 -> 1.234567890000000 Rounded
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46 ddmul015 multiply 2.50 4 -> 10.00
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47 ddmul016 multiply 9.999999999 9.999999999 -> 99.99999998000000 Inexact Rounded
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48 ddmul017 multiply 9.999999999 -9.999999999 -> -99.99999998000000 Inexact Rounded
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49 ddmul018 multiply -9.999999999 9.999999999 -> -99.99999998000000 Inexact Rounded
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50 ddmul019 multiply -9.999999999 -9.999999999 -> 99.99999998000000 Inexact Rounded
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51
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52 -- zeros, etc.
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53 ddmul021 multiply 0 0 -> 0
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54 ddmul022 multiply 0 -0 -> -0
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55 ddmul023 multiply -0 0 -> -0
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56 ddmul024 multiply -0 -0 -> 0
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57 ddmul025 multiply -0.0 -0.0 -> 0.00
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58 ddmul026 multiply -0.0 -0.0 -> 0.00
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59 ddmul027 multiply -0.0 -0.0 -> 0.00
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60 ddmul028 multiply -0.0 -0.0 -> 0.00
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61 ddmul030 multiply 5.00 1E-3 -> 0.00500
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62 ddmul031 multiply 00.00 0.000 -> 0.00000
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63 ddmul032 multiply 00.00 0E-3 -> 0.00000 -- rhs is 0
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64 ddmul033 multiply 0E-3 00.00 -> 0.00000 -- lhs is 0
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65 ddmul034 multiply -5.00 1E-3 -> -0.00500
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66 ddmul035 multiply -00.00 0.000 -> -0.00000
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67 ddmul036 multiply -00.00 0E-3 -> -0.00000 -- rhs is 0
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68 ddmul037 multiply -0E-3 00.00 -> -0.00000 -- lhs is 0
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69 ddmul038 multiply 5.00 -1E-3 -> -0.00500
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70 ddmul039 multiply 00.00 -0.000 -> -0.00000
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71 ddmul040 multiply 00.00 -0E-3 -> -0.00000 -- rhs is 0
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72 ddmul041 multiply 0E-3 -00.00 -> -0.00000 -- lhs is 0
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73 ddmul042 multiply -5.00 -1E-3 -> 0.00500
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74 ddmul043 multiply -00.00 -0.000 -> 0.00000
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75 ddmul044 multiply -00.00 -0E-3 -> 0.00000 -- rhs is 0
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76 ddmul045 multiply -0E-3 -00.00 -> 0.00000 -- lhs is 0
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77
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78 -- examples from decarith
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79 ddmul050 multiply 1.20 3 -> 3.60
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80 ddmul051 multiply 7 3 -> 21
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81 ddmul052 multiply 0.9 0.8 -> 0.72
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82 ddmul053 multiply 0.9 -0 -> -0.0
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83 ddmul054 multiply 654321 654321 -> 428135971041
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84
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85 ddmul060 multiply 123.45 1e7 -> 1.2345E+9
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86 ddmul061 multiply 123.45 1e8 -> 1.2345E+10
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87 ddmul062 multiply 123.45 1e+9 -> 1.2345E+11
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88 ddmul063 multiply 123.45 1e10 -> 1.2345E+12
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89 ddmul064 multiply 123.45 1e11 -> 1.2345E+13
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90 ddmul065 multiply 123.45 1e12 -> 1.2345E+14
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91 ddmul066 multiply 123.45 1e13 -> 1.2345E+15
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92
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93
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94 -- test some intermediate lengths
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95 -- 1234567890123456
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96 ddmul080 multiply 0.1 1230123456456789 -> 123012345645678.9
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97 ddmul084 multiply 0.1 1230123456456789 -> 123012345645678.9
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98 ddmul090 multiply 1230123456456789 0.1 -> 123012345645678.9
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99 ddmul094 multiply 1230123456456789 0.1 -> 123012345645678.9
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100
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101 -- test some more edge cases and carries
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102 ddmul101 multiply 9 9 -> 81
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103 ddmul102 multiply 9 90 -> 810
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104 ddmul103 multiply 9 900 -> 8100
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105 ddmul104 multiply 9 9000 -> 81000
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106 ddmul105 multiply 9 90000 -> 810000
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107 ddmul106 multiply 9 900000 -> 8100000
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108 ddmul107 multiply 9 9000000 -> 81000000
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109 ddmul108 multiply 9 90000000 -> 810000000
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110 ddmul109 multiply 9 900000000 -> 8100000000
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111 ddmul110 multiply 9 9000000000 -> 81000000000
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112 ddmul111 multiply 9 90000000000 -> 810000000000
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113 ddmul112 multiply 9 900000000000 -> 8100000000000
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114 ddmul113 multiply 9 9000000000000 -> 81000000000000
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115 ddmul114 multiply 9 90000000000000 -> 810000000000000
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116 ddmul115 multiply 9 900000000000000 -> 8100000000000000
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117 --ddmul116 multiply 9 9000000000000000 -> 81000000000000000
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118 --ddmul117 multiply 9 90000000000000000 -> 810000000000000000
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119 --ddmul118 multiply 9 900000000000000000 -> 8100000000000000000
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120 --ddmul119 multiply 9 9000000000000000000 -> 81000000000000000000
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121 --ddmul120 multiply 9 90000000000000000000 -> 810000000000000000000
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122 --ddmul121 multiply 9 900000000000000000000 -> 8100000000000000000000
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123 --ddmul122 multiply 9 9000000000000000000000 -> 81000000000000000000000
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124 --ddmul123 multiply 9 90000000000000000000000 -> 810000000000000000000000
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125 -- test some more edge cases without carries
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126 ddmul131 multiply 3 3 -> 9
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127 ddmul132 multiply 3 30 -> 90
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128 ddmul133 multiply 3 300 -> 900
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129 ddmul134 multiply 3 3000 -> 9000
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130 ddmul135 multiply 3 30000 -> 90000
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131 ddmul136 multiply 3 300000 -> 900000
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132 ddmul137 multiply 3 3000000 -> 9000000
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133 ddmul138 multiply 3 30000000 -> 90000000
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134 ddmul139 multiply 3 300000000 -> 900000000
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135 ddmul140 multiply 3 3000000000 -> 9000000000
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136 ddmul141 multiply 3 30000000000 -> 90000000000
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137 ddmul142 multiply 3 300000000000 -> 900000000000
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138 ddmul143 multiply 3 3000000000000 -> 9000000000000
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139 ddmul144 multiply 3 30000000000000 -> 90000000000000
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140 ddmul145 multiply 3 300000000000000 -> 900000000000000
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141
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142 -- test some edge cases with exact rounding
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143 ddmul301 multiply 9 9 -> 81
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144 ddmul302 multiply 9 90 -> 810
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145 ddmul303 multiply 9 900 -> 8100
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146 ddmul304 multiply 9 9000 -> 81000
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147 ddmul305 multiply 9 90000 -> 810000
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148 ddmul306 multiply 9 900000 -> 8100000
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149 ddmul307 multiply 9 9000000 -> 81000000
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150 ddmul308 multiply 9 90000000 -> 810000000
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151 ddmul309 multiply 9 900000000 -> 8100000000
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152 ddmul310 multiply 9 9000000000 -> 81000000000
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153 ddmul311 multiply 9 90000000000 -> 810000000000
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154 ddmul312 multiply 9 900000000000 -> 8100000000000
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155 ddmul313 multiply 9 9000000000000 -> 81000000000000
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156 ddmul314 multiply 9 90000000000000 -> 810000000000000
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157 ddmul315 multiply 9 900000000000000 -> 8100000000000000
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158 ddmul316 multiply 9 9000000000000000 -> 8.100000000000000E+16 Rounded
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159 ddmul317 multiply 90 9000000000000000 -> 8.100000000000000E+17 Rounded
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160 ddmul318 multiply 900 9000000000000000 -> 8.100000000000000E+18 Rounded
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161 ddmul319 multiply 9000 9000000000000000 -> 8.100000000000000E+19 Rounded
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162 ddmul320 multiply 90000 9000000000000000 -> 8.100000000000000E+20 Rounded
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163 ddmul321 multiply 900000 9000000000000000 -> 8.100000000000000E+21 Rounded
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164 ddmul322 multiply 9000000 9000000000000000 -> 8.100000000000000E+22 Rounded
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165 ddmul323 multiply 90000000 9000000000000000 -> 8.100000000000000E+23 Rounded
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166
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167 -- tryzeros cases
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168 ddmul504 multiply 0E-260 1000E-260 -> 0E-398 Clamped
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169 ddmul505 multiply 100E+260 0E+260 -> 0E+369 Clamped
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170 -- 65K-1 case
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171 ddmul506 multiply 77.1 850 -> 65535.0
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172
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173 -- mixed with zeros
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174 ddmul541 multiply 0 -1 -> -0
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175 ddmul542 multiply -0 -1 -> 0
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176 ddmul543 multiply 0 1 -> 0
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177 ddmul544 multiply -0 1 -> -0
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178 ddmul545 multiply -1 0 -> -0
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179 ddmul546 multiply -1 -0 -> 0
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180 ddmul547 multiply 1 0 -> 0
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181 ddmul548 multiply 1 -0 -> -0
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182
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183 ddmul551 multiply 0.0 -1 -> -0.0
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184 ddmul552 multiply -0.0 -1 -> 0.0
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185 ddmul553 multiply 0.0 1 -> 0.0
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186 ddmul554 multiply -0.0 1 -> -0.0
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187 ddmul555 multiply -1.0 0 -> -0.0
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188 ddmul556 multiply -1.0 -0 -> 0.0
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189 ddmul557 multiply 1.0 0 -> 0.0
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190 ddmul558 multiply 1.0 -0 -> -0.0
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191
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192 ddmul561 multiply 0 -1.0 -> -0.0
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193 ddmul562 multiply -0 -1.0 -> 0.0
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194 ddmul563 multiply 0 1.0 -> 0.0
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195 ddmul564 multiply -0 1.0 -> -0.0
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196 ddmul565 multiply -1 0.0 -> -0.0
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197 ddmul566 multiply -1 -0.0 -> 0.0
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198 ddmul567 multiply 1 0.0 -> 0.0
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199 ddmul568 multiply 1 -0.0 -> -0.0
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200
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201 ddmul571 multiply 0.0 -1.0 -> -0.00
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202 ddmul572 multiply -0.0 -1.0 -> 0.00
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203 ddmul573 multiply 0.0 1.0 -> 0.00
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204 ddmul574 multiply -0.0 1.0 -> -0.00
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205 ddmul575 multiply -1.0 0.0 -> -0.00
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206 ddmul576 multiply -1.0 -0.0 -> 0.00
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207 ddmul577 multiply 1.0 0.0 -> 0.00
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208 ddmul578 multiply 1.0 -0.0 -> -0.00
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209
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210
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211 -- Specials
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212 ddmul580 multiply Inf -Inf -> -Infinity
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213 ddmul581 multiply Inf -1000 -> -Infinity
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214 ddmul582 multiply Inf -1 -> -Infinity
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215 ddmul583 multiply Inf -0 -> NaN Invalid_operation
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216 ddmul584 multiply Inf 0 -> NaN Invalid_operation
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217 ddmul585 multiply Inf 1 -> Infinity
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218 ddmul586 multiply Inf 1000 -> Infinity
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219 ddmul587 multiply Inf Inf -> Infinity
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220 ddmul588 multiply -1000 Inf -> -Infinity
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234 ddmul605 multiply -Inf 1 -> -Infinity
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266 ddmul643 multiply sNaN -1 -> NaN Invalid_operation
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267 ddmul644 multiply sNaN -0 -> NaN Invalid_operation
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268 ddmul645 multiply sNaN 0 -> NaN Invalid_operation
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269 ddmul646 multiply sNaN 1 -> NaN Invalid_operation
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271 ddmul648 multiply sNaN NaN -> NaN Invalid_operation
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272 ddmul649 multiply sNaN sNaN -> NaN Invalid_operation
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273 ddmul650 multiply NaN sNaN -> NaN Invalid_operation
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274 ddmul651 multiply -Inf sNaN -> NaN Invalid_operation
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275 ddmul652 multiply -1000 sNaN -> NaN Invalid_operation
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276 ddmul653 multiply -1 sNaN -> NaN Invalid_operation
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277 ddmul654 multiply -0 sNaN -> NaN Invalid_operation
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278 ddmul655 multiply 0 sNaN -> NaN Invalid_operation
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279 ddmul656 multiply 1 sNaN -> NaN Invalid_operation
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280 ddmul657 multiply 1000 sNaN -> NaN Invalid_operation
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281 ddmul658 multiply Inf sNaN -> NaN Invalid_operation
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282 ddmul659 multiply NaN sNaN -> NaN Invalid_operation
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284 -- propagating NaNs
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288 ddmul664 multiply NaN6 NaN5 -> NaN6
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290 ddmul666 multiply -999 NaN33 -> NaN33
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291 ddmul667 multiply Inf NaN2 -> NaN2
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293 ddmul671 multiply sNaN99 -Inf -> NaN99 Invalid_operation
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294 ddmul672 multiply sNaN98 -11 -> NaN98 Invalid_operation
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295 ddmul673 multiply sNaN97 NaN -> NaN97 Invalid_operation
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296 ddmul674 multiply sNaN16 sNaN94 -> NaN16 Invalid_operation
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297 ddmul675 multiply NaN95 sNaN93 -> NaN93 Invalid_operation
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298 ddmul676 multiply -Inf sNaN92 -> NaN92 Invalid_operation
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299 ddmul677 multiply 088 sNaN91 -> NaN91 Invalid_operation
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300 ddmul678 multiply Inf sNaN90 -> NaN90 Invalid_operation
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301 ddmul679 multiply NaN sNaN89 -> NaN89 Invalid_operation
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311 ddmul691 multiply -sNaN99 -Inf -> -NaN99 Invalid_operation
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312 ddmul692 multiply -sNaN98 -11 -> -NaN98 Invalid_operation
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313 ddmul693 multiply -sNaN97 NaN -> -NaN97 Invalid_operation
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314 ddmul694 multiply -sNaN16 -sNaN94 -> -NaN16 Invalid_operation
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315 ddmul695 multiply -NaN95 -sNaN93 -> -NaN93 Invalid_operation
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316 ddmul696 multiply -Inf -sNaN92 -> -NaN92 Invalid_operation
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317 ddmul697 multiply 088 -sNaN91 -> -NaN91 Invalid_operation
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318 ddmul698 multiply Inf -sNaN90 -> -NaN90 Invalid_operation
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319 ddmul699 multiply -NaN -sNaN89 -> -NaN89 Invalid_operation
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322 ddmul702 multiply -NaN 999 -> -NaN
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329 ddmul711 multiply -sNaN -Inf -> -NaN Invalid_operation
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330 ddmul712 multiply -sNaN -11 -> -NaN Invalid_operation
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331 ddmul713 multiply -sNaN00 NaN -> -NaN Invalid_operation
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332 ddmul714 multiply -sNaN -sNaN -> -NaN Invalid_operation
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333 ddmul715 multiply -NaN -sNaN -> -NaN Invalid_operation
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334 ddmul716 multiply -Inf -sNaN -> -NaN Invalid_operation
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335 ddmul717 multiply 088 -sNaN -> -NaN Invalid_operation
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336 ddmul718 multiply Inf -sNaN -> -NaN Invalid_operation
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337 ddmul719 multiply -NaN -sNaN -> -NaN Invalid_operation
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338
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339 -- overflow and underflow tests .. note subnormal results
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340 -- signs
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341 ddmul751 multiply 1e+277 1e+311 -> Infinity Overflow Inexact Rounded
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342 ddmul752 multiply 1e+277 -1e+311 -> -Infinity Overflow Inexact Rounded
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343 ddmul753 multiply -1e+277 1e+311 -> -Infinity Overflow Inexact Rounded
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344 ddmul754 multiply -1e+277 -1e+311 -> Infinity Overflow Inexact Rounded
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345 ddmul755 multiply 1e-277 1e-311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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346 ddmul756 multiply 1e-277 -1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
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347 ddmul757 multiply -1e-277 1e-311 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
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348 ddmul758 multiply -1e-277 -1e-311 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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349
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350 -- 'subnormal' boundary (all hard underflow or overflow in base arithemtic)
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351 ddmul760 multiply 1e-291 1e-101 -> 1E-392 Subnormal
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352 ddmul761 multiply 1e-291 1e-102 -> 1E-393 Subnormal
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353 ddmul762 multiply 1e-291 1e-103 -> 1E-394 Subnormal
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354 ddmul763 multiply 1e-291 1e-104 -> 1E-395 Subnormal
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355 ddmul764 multiply 1e-291 1e-105 -> 1E-396 Subnormal
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356 ddmul765 multiply 1e-291 1e-106 -> 1E-397 Subnormal
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357 ddmul766 multiply 1e-291 1e-107 -> 1E-398 Subnormal
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358 ddmul767 multiply 1e-291 1e-108 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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359 ddmul768 multiply 1e-291 1e-109 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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360 ddmul769 multiply 1e-291 1e-110 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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361 -- [no equivalent of 'subnormal' for overflow]
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362 ddmul770 multiply 1e+60 1e+321 -> 1.000000000000E+381 Clamped
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363 ddmul771 multiply 1e+60 1e+322 -> 1.0000000000000E+382 Clamped
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364 ddmul772 multiply 1e+60 1e+323 -> 1.00000000000000E+383 Clamped
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365 ddmul773 multiply 1e+60 1e+324 -> 1.000000000000000E+384 Clamped
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366 ddmul774 multiply 1e+60 1e+325 -> Infinity Overflow Inexact Rounded
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367 ddmul775 multiply 1e+60 1e+326 -> Infinity Overflow Inexact Rounded
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368 ddmul776 multiply 1e+60 1e+327 -> Infinity Overflow Inexact Rounded
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369 ddmul777 multiply 1e+60 1e+328 -> Infinity Overflow Inexact Rounded
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370 ddmul778 multiply 1e+60 1e+329 -> Infinity Overflow Inexact Rounded
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371 ddmul779 multiply 1e+60 1e+330 -> Infinity Overflow Inexact Rounded
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372
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373 ddmul801 multiply 1.0000E-394 1 -> 1.0000E-394 Subnormal
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374 ddmul802 multiply 1.000E-394 1e-1 -> 1.000E-395 Subnormal
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375 ddmul803 multiply 1.00E-394 1e-2 -> 1.00E-396 Subnormal
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376 ddmul804 multiply 1.0E-394 1e-3 -> 1.0E-397 Subnormal
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377 ddmul805 multiply 1.0E-394 1e-4 -> 1E-398 Subnormal Rounded
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378 ddmul806 multiply 1.3E-394 1e-4 -> 1E-398 Underflow Subnormal Inexact Rounded
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379 ddmul807 multiply 1.5E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
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380 ddmul808 multiply 1.7E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
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381 ddmul809 multiply 2.3E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
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382 ddmul810 multiply 2.5E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
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383 ddmul811 multiply 2.7E-394 1e-4 -> 3E-398 Underflow Subnormal Inexact Rounded
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384 ddmul812 multiply 1.49E-394 1e-4 -> 1E-398 Underflow Subnormal Inexact Rounded
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385 ddmul813 multiply 1.50E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
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386 ddmul814 multiply 1.51E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
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387 ddmul815 multiply 2.49E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
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388 ddmul816 multiply 2.50E-394 1e-4 -> 2E-398 Underflow Subnormal Inexact Rounded
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389 ddmul817 multiply 2.51E-394 1e-4 -> 3E-398 Underflow Subnormal Inexact Rounded
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390
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391 ddmul818 multiply 1E-394 1e-4 -> 1E-398 Subnormal
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392 ddmul819 multiply 3E-394 1e-5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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393 ddmul820 multiply 5E-394 1e-5 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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394 ddmul821 multiply 7E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded
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395 ddmul822 multiply 9E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded
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396 ddmul823 multiply 9.9E-394 1e-5 -> 1E-398 Underflow Subnormal Inexact Rounded
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397
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398 ddmul824 multiply 1E-394 -1e-4 -> -1E-398 Subnormal
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399 ddmul825 multiply 3E-394 -1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
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400 ddmul826 multiply -5E-394 1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
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401 ddmul827 multiply 7E-394 -1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded
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402 ddmul828 multiply -9E-394 1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded
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403 ddmul829 multiply 9.9E-394 -1e-5 -> -1E-398 Underflow Subnormal Inexact Rounded
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404 ddmul830 multiply 3.0E-394 -1e-5 -> -0E-398 Underflow Subnormal Inexact Rounded Clamped
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405
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406 ddmul831 multiply 1.0E-199 1e-200 -> 0E-398 Underflow Subnormal Inexact Rounded Clamped
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407 ddmul832 multiply 1.0E-199 1e-199 -> 1E-398 Subnormal Rounded
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408 ddmul833 multiply 1.0E-199 1e-198 -> 1.0E-397 Subnormal
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409 ddmul834 multiply 2.0E-199 2e-198 -> 4.0E-397 Subnormal
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410 ddmul835 multiply 4.0E-199 4e-198 -> 1.60E-396 Subnormal
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411 ddmul836 multiply 10.0E-199 10e-198 -> 1.000E-395 Subnormal
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412 ddmul837 multiply 30.0E-199 30e-198 -> 9.000E-395 Subnormal
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413 ddmul838 multiply 40.0E-199 40e-188 -> 1.6000E-384 Subnormal
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414 ddmul839 multiply 40.0E-199 40e-187 -> 1.6000E-383
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415 ddmul840 multiply 40.0E-199 40e-186 -> 1.6000E-382
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416
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417 -- Long operand overflow may be a different path
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418 ddmul870 multiply 100 9.999E+383 -> Infinity Inexact Overflow Rounded
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419 ddmul871 multiply 100 -9.999E+383 -> -Infinity Inexact Overflow Rounded
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420 ddmul872 multiply 9.999E+383 100 -> Infinity Inexact Overflow Rounded
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421 ddmul873 multiply -9.999E+383 100 -> -Infinity Inexact Overflow Rounded
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422
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423 -- check for double-rounded subnormals
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424 ddmul881 multiply 1.2347E-355 1.2347E-40 -> 1.524E-395 Inexact Rounded Subnormal Underflow
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425 ddmul882 multiply 1.234E-355 1.234E-40 -> 1.523E-395 Inexact Rounded Subnormal Underflow
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426 ddmul883 multiply 1.23E-355 1.23E-40 -> 1.513E-395 Inexact Rounded Subnormal Underflow
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427 ddmul884 multiply 1.2E-355 1.2E-40 -> 1.44E-395 Subnormal
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428 ddmul885 multiply 1.2E-355 1.2E-41 -> 1.44E-396 Subnormal
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429 ddmul886 multiply 1.2E-355 1.2E-42 -> 1.4E-397 Subnormal Inexact Rounded Underflow
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430 ddmul887 multiply 1.2E-355 1.3E-42 -> 1.6E-397 Subnormal Inexact Rounded Underflow
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431 ddmul888 multiply 1.3E-355 1.3E-42 -> 1.7E-397 Subnormal Inexact Rounded Underflow
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432 ddmul889 multiply 1.3E-355 1.3E-43 -> 2E-398 Subnormal Inexact Rounded Underflow
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433 ddmul890 multiply 1.3E-356 1.3E-43 -> 0E-398 Clamped Subnormal Inexact Rounded Underflow
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434
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435 ddmul891 multiply 1.2345E-39 1.234E-355 -> 1.5234E-394 Inexact Rounded Subnormal Underflow
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436 ddmul892 multiply 1.23456E-39 1.234E-355 -> 1.5234E-394 Inexact Rounded Subnormal Underflow
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437 ddmul893 multiply 1.2345E-40 1.234E-355 -> 1.523E-395 Inexact Rounded Subnormal Underflow
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438 ddmul894 multiply 1.23456E-40 1.234E-355 -> 1.523E-395 Inexact Rounded Subnormal Underflow
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439 ddmul895 multiply 1.2345E-41 1.234E-355 -> 1.52E-396 Inexact Rounded Subnormal Underflow
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440 ddmul896 multiply 1.23456E-41 1.234E-355 -> 1.52E-396 Inexact Rounded Subnormal Underflow
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441
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442 -- Now explore the case where we get a normal result with Underflow
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443 -- 1 234567890123456
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444 ddmul900 multiply 0.3000000000E-191 0.3000000000E-191 -> 9.00000000000000E-384 Subnormal Rounded
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445 ddmul901 multiply 0.3000000001E-191 0.3000000001E-191 -> 9.00000000600000E-384 Underflow Inexact Subnormal Rounded
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446 ddmul902 multiply 9.999999999999999E-383 0.0999999999999 -> 9.99999999999000E-384 Underflow Inexact Subnormal Rounded
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447 ddmul903 multiply 9.999999999999999E-383 0.09999999999999 -> 9.99999999999900E-384 Underflow Inexact Subnormal Rounded
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448 ddmul904 multiply 9.999999999999999E-383 0.099999999999999 -> 9.99999999999990E-384 Underflow Inexact Subnormal Rounded
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449 ddmul905 multiply 9.999999999999999E-383 0.0999999999999999 -> 9.99999999999999E-384 Underflow Inexact Subnormal Rounded
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450 -- The next rounds to Nmin (b**emin); this is the distinguishing case
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451 -- for detecting tininess (before or after rounding) -- if after
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452 -- rounding then the result would be the same, but the Underflow flag
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453 -- would not be set
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454 ddmul906 multiply 9.999999999999999E-383 0.09999999999999999 -> 1.000000000000000E-383 Underflow Inexact Subnormal Rounded
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455 -- prove those operands were exact
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456 ddmul907 multiply 9.999999999999999E-383 1 -> 9.999999999999999E-383
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457 ddmul908 multiply 1 0.09999999999999999 -> 0.09999999999999999
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458
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459 -- reducing tiniest
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460 ddmul910 multiply 1e-398 0.99 -> 1E-398 Subnormal Inexact Rounded Underflow
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461 ddmul911 multiply 1e-398 0.75 -> 1E-398 Subnormal Inexact Rounded Underflow
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462 ddmul912 multiply 1e-398 0.5 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
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463 ddmul913 multiply 1e-398 0.25 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
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464 ddmul914 multiply 1e-398 0.01 -> 0E-398 Subnormal Inexact Rounded Underflow Clamped
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465
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466 -- hugest
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467 ddmul920 multiply 9999999999999999 9999999999999999 -> 9.999999999999998E+31 Inexact Rounded
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468
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469 -- power-of-ten edge cases
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470 ddmul1001 multiply 1 10 -> 10
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471 ddmul1002 multiply 1 100 -> 100
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472 ddmul1003 multiply 1 1000 -> 1000
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473 ddmul1004 multiply 1 10000 -> 10000
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474 ddmul1005 multiply 1 100000 -> 100000
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475 ddmul1006 multiply 1 1000000 -> 1000000
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476 ddmul1007 multiply 1 10000000 -> 10000000
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477 ddmul1008 multiply 1 100000000 -> 100000000
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478 ddmul1009 multiply 1 1000000000 -> 1000000000
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479 ddmul1010 multiply 1 10000000000 -> 10000000000
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480 ddmul1011 multiply 1 100000000000 -> 100000000000
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481 ddmul1012 multiply 1 1000000000000 -> 1000000000000
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482 ddmul1013 multiply 1 10000000000000 -> 10000000000000
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483 ddmul1014 multiply 1 100000000000000 -> 100000000000000
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484 ddmul1015 multiply 1 1000000000000000 -> 1000000000000000
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485 ddmul1021 multiply 10 1 -> 10
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486 ddmul1022 multiply 10 10 -> 100
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487 ddmul1023 multiply 10 100 -> 1000
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488 ddmul1024 multiply 10 1000 -> 10000
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489 ddmul1025 multiply 10 10000 -> 100000
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490 ddmul1026 multiply 10 100000 -> 1000000
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491 ddmul1027 multiply 10 1000000 -> 10000000
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492 ddmul1028 multiply 10 10000000 -> 100000000
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493 ddmul1029 multiply 10 100000000 -> 1000000000
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494 ddmul1030 multiply 10 1000000000 -> 10000000000
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495 ddmul1031 multiply 10 10000000000 -> 100000000000
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496 ddmul1032 multiply 10 100000000000 -> 1000000000000
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497 ddmul1033 multiply 10 1000000000000 -> 10000000000000
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498 ddmul1034 multiply 10 10000000000000 -> 100000000000000
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499 ddmul1035 multiply 10 100000000000000 -> 1000000000000000
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500 ddmul1041 multiply 100 0.1 -> 10.0
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501 ddmul1042 multiply 100 1 -> 100
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502 ddmul1043 multiply 100 10 -> 1000
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503 ddmul1044 multiply 100 100 -> 10000
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504 ddmul1045 multiply 100 1000 -> 100000
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505 ddmul1046 multiply 100 10000 -> 1000000
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506 ddmul1047 multiply 100 100000 -> 10000000
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507 ddmul1048 multiply 100 1000000 -> 100000000
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508 ddmul1049 multiply 100 10000000 -> 1000000000
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509 ddmul1050 multiply 100 100000000 -> 10000000000
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510 ddmul1051 multiply 100 1000000000 -> 100000000000
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511 ddmul1052 multiply 100 10000000000 -> 1000000000000
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512 ddmul1053 multiply 100 100000000000 -> 10000000000000
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513 ddmul1054 multiply 100 1000000000000 -> 100000000000000
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514 ddmul1055 multiply 100 10000000000000 -> 1000000000000000
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515 ddmul1061 multiply 1000 0.01 -> 10.00
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516 ddmul1062 multiply 1000 0.1 -> 100.0
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517 ddmul1063 multiply 1000 1 -> 1000
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518 ddmul1064 multiply 1000 10 -> 10000
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519 ddmul1065 multiply 1000 100 -> 100000
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520 ddmul1066 multiply 1000 1000 -> 1000000
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521 ddmul1067 multiply 1000 10000 -> 10000000
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522 ddmul1068 multiply 1000 100000 -> 100000000
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523 ddmul1069 multiply 1000 1000000 -> 1000000000
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524 ddmul1070 multiply 1000 10000000 -> 10000000000
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525 ddmul1071 multiply 1000 100000000 -> 100000000000
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526 ddmul1072 multiply 1000 1000000000 -> 1000000000000
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527 ddmul1073 multiply 1000 10000000000 -> 10000000000000
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528 ddmul1074 multiply 1000 100000000000 -> 100000000000000
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529 ddmul1075 multiply 1000 1000000000000 -> 1000000000000000
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530 ddmul1081 multiply 10000 0.001 -> 10.000
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531 ddmul1082 multiply 10000 0.01 -> 100.00
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532 ddmul1083 multiply 10000 0.1 -> 1000.0
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533 ddmul1084 multiply 10000 1 -> 10000
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534 ddmul1085 multiply 10000 10 -> 100000
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535 ddmul1086 multiply 10000 100 -> 1000000
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536 ddmul1087 multiply 10000 1000 -> 10000000
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537 ddmul1088 multiply 10000 10000 -> 100000000
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538 ddmul1089 multiply 10000 100000 -> 1000000000
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539 ddmul1090 multiply 10000 1000000 -> 10000000000
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540 ddmul1091 multiply 10000 10000000 -> 100000000000
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541 ddmul1092 multiply 10000 100000000 -> 1000000000000
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542 ddmul1093 multiply 10000 1000000000 -> 10000000000000
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543 ddmul1094 multiply 10000 10000000000 -> 100000000000000
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544 ddmul1095 multiply 10000 100000000000 -> 1000000000000000
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545
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546 ddmul1097 multiply 10000 99999999999 -> 999999999990000
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547 ddmul1098 multiply 10000 99999999999 -> 999999999990000
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548
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549
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550 -- Null tests
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551 ddmul9990 multiply 10 # -> NaN Invalid_operation
ebc7389297d6 Merged revisions 59107-59186 via svnmerge from
Guido van Rossum <guido@python.org>
parents: 43400
diff changeset
552 ddmul9991 multiply # 10 -> NaN Invalid_operation
ebc7389297d6 Merged revisions 59107-59186 via svnmerge from
Guido van Rossum <guido@python.org>
parents: 43400
diff changeset
553