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2 | /*============================================================================
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3 |
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4 | This C source file is part of the SoftFloat IEEE Floating-Point Arithmetic
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5 | Package, Release 3e, by John R. Hauser.
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6 |
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7 | Copyright 2011, 2012, 2013, 2014 The Regents of the University of California.
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8 | All rights reserved.
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9 |
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10 | Redistribution and use in source and binary forms, with or without
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11 | modification, are permitted provided that the following conditions are met:
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12 |
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13 | 1. Redistributions of source code must retain the above copyright notice,
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14 | this list of conditions, and the following disclaimer.
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15 |
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16 | 2. Redistributions in binary form must reproduce the above copyright notice,
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17 | this list of conditions, and the following disclaimer in the documentation
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18 | and/or other materials provided with the distribution.
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19 |
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20 | 3. Neither the name of the University nor the names of its contributors may
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21 | be used to endorse or promote products derived from this software without
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22 | specific prior written permission.
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23 |
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24 | THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS "AS IS", AND ANY
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25 | EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
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26 | WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE, ARE
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27 | DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE FOR ANY
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28 | DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES
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29 | (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES;
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30 | LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND
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31 | ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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32 | (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
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33 | SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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34 |
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35 | =============================================================================*/
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36 |
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37 | #include <stdbool.h>
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38 | #include <stdint.h>
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39 | #include "platform.h"
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40 | #include "internals.h"
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41 | #include "specialize.h"
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42 | #include "softfloat.h"
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43 |
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44 | float128_t f128_mul( float128_t a, float128_t b SOFTFLOAT_STATE_DECL_COMMA )
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45 | {
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46 | union ui128_f128 uA;
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47 | uint_fast64_t uiA64, uiA0;
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48 | bool signA;
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49 | int_fast32_t expA;
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50 | struct uint128 sigA;
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51 | union ui128_f128 uB;
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52 | uint_fast64_t uiB64, uiB0;
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53 | bool signB;
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54 | int_fast32_t expB;
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55 | struct uint128 sigB;
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56 | bool signZ;
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57 | uint_fast64_t magBits;
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58 | struct exp32_sig128 normExpSig;
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59 | int_fast32_t expZ;
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60 | uint64_t sig256Z[4];
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61 | uint_fast64_t sigZExtra;
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62 | struct uint128 sigZ;
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63 | struct uint128_extra sig128Extra;
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64 | struct uint128 uiZ;
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65 | union ui128_f128 uZ;
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66 |
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67 | /*------------------------------------------------------------------------
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68 | *------------------------------------------------------------------------*/
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69 | uA.f = a;
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70 | uiA64 = uA.ui.v64;
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71 | uiA0 = uA.ui.v0;
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72 | signA = signF128UI64( uiA64 );
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73 | expA = expF128UI64( uiA64 );
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74 | sigA.v64 = fracF128UI64( uiA64 );
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75 | sigA.v0 = uiA0;
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76 | uB.f = b;
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77 | uiB64 = uB.ui.v64;
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78 | uiB0 = uB.ui.v0;
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79 | signB = signF128UI64( uiB64 );
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80 | expB = expF128UI64( uiB64 );
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81 | sigB.v64 = fracF128UI64( uiB64 );
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82 | sigB.v0 = uiB0;
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83 | signZ = signA ^ signB;
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84 | /*------------------------------------------------------------------------
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85 | *------------------------------------------------------------------------*/
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86 | if ( expA == 0x7FFF ) {
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87 | if (
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88 | (sigA.v64 | sigA.v0) || ((expB == 0x7FFF) && (sigB.v64 | sigB.v0))
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89 | ) {
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90 | goto propagateNaN;
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91 | }
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92 | magBits = expB | sigB.v64 | sigB.v0;
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93 | goto infArg;
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94 | }
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95 | if ( expB == 0x7FFF ) {
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96 | if ( sigB.v64 | sigB.v0 ) goto propagateNaN;
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97 | magBits = expA | sigA.v64 | sigA.v0;
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98 | goto infArg;
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99 | }
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100 | /*------------------------------------------------------------------------
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101 | *------------------------------------------------------------------------*/
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102 | if ( ! expA ) {
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103 | if ( ! (sigA.v64 | sigA.v0) ) goto zero;
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104 | normExpSig = softfloat_normSubnormalF128Sig( sigA.v64, sigA.v0 );
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105 | expA = normExpSig.exp;
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106 | sigA = normExpSig.sig;
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107 | }
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108 | if ( ! expB ) {
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109 | if ( ! (sigB.v64 | sigB.v0) ) goto zero;
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110 | normExpSig = softfloat_normSubnormalF128Sig( sigB.v64, sigB.v0 );
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111 | expB = normExpSig.exp;
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112 | sigB = normExpSig.sig;
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113 | }
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114 | /*------------------------------------------------------------------------
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115 | *------------------------------------------------------------------------*/
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116 | expZ = expA + expB - 0x4000;
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117 | sigA.v64 |= UINT64_C( 0x0001000000000000 );
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118 | sigB = softfloat_shortShiftLeft128( sigB.v64, sigB.v0, 16 );
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119 | softfloat_mul128To256M( sigA.v64, sigA.v0, sigB.v64, sigB.v0, sig256Z );
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120 | sigZExtra = sig256Z[indexWord( 4, 1 )] | (sig256Z[indexWord( 4, 0 )] != 0);
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121 | sigZ =
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122 | softfloat_add128(
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123 | sig256Z[indexWord( 4, 3 )], sig256Z[indexWord( 4, 2 )],
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124 | sigA.v64, sigA.v0
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125 | );
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126 | if ( UINT64_C( 0x0002000000000000 ) <= sigZ.v64 ) {
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127 | ++expZ;
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128 | sig128Extra =
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129 | softfloat_shortShiftRightJam128Extra(
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130 | sigZ.v64, sigZ.v0, sigZExtra, 1 );
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131 | sigZ = sig128Extra.v;
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132 | sigZExtra = sig128Extra.extra;
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133 | }
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134 | return
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135 | softfloat_roundPackToF128( signZ, expZ, sigZ.v64, sigZ.v0, sigZExtra SOFTFLOAT_STATE_ARG_COMMA );
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136 | /*------------------------------------------------------------------------
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137 | *------------------------------------------------------------------------*/
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138 | propagateNaN:
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139 | uiZ = softfloat_propagateNaNF128UI( uiA64, uiA0, uiB64, uiB0 SOFTFLOAT_STATE_ARG_COMMA );
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140 | goto uiZ;
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141 | /*------------------------------------------------------------------------
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142 | *------------------------------------------------------------------------*/
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143 | infArg:
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144 | if ( ! magBits ) {
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145 | softfloat_raiseFlags( softfloat_flag_invalid SOFTFLOAT_STATE_ARG_COMMA );
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146 | uiZ.v64 = defaultNaNF128UI64;
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147 | uiZ.v0 = defaultNaNF128UI0;
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148 | goto uiZ;
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149 | }
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150 | uiZ.v64 = packToF128UI64( signZ, 0x7FFF, 0 );
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151 | goto uiZ0;
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152 | /*------------------------------------------------------------------------
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153 | *------------------------------------------------------------------------*/
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154 | zero:
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155 | uiZ.v64 = packToF128UI64( signZ, 0, 0 );
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156 | uiZ0:
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157 | uiZ.v0 = 0;
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158 | uiZ:
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159 | uZ.ui = uiZ;
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160 | return uZ.f;
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161 |
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162 | }
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163 |
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