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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, 2015, 2016 The Regents of the University of
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8 | California. 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 | float16_t
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45 | softfloat_mulAddF16(
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46 | uint_fast16_t uiA, uint_fast16_t uiB, uint_fast16_t uiC, uint_fast8_t op SOFTFLOAT_STATE_DECL_COMMA )
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47 | {
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48 | bool signA;
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49 | int_fast8_t expA;
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50 | uint_fast16_t sigA;
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51 | bool signB;
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52 | int_fast8_t expB;
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53 | uint_fast16_t sigB;
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54 | bool signC;
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55 | int_fast8_t expC;
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56 | uint_fast16_t sigC;
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57 | bool signProd;
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58 | uint_fast16_t magBits, uiZ;
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59 | struct exp8_sig16 normExpSig;
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60 | int_fast8_t expProd;
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61 | uint_fast32_t sigProd;
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62 | bool signZ;
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63 | int_fast8_t expZ;
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64 | uint_fast16_t sigZ;
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65 | int_fast8_t expDiff;
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66 | uint_fast32_t sig32Z, sig32C;
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67 | int_fast8_t shiftDist;
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68 | union ui16_f16 uZ;
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69 |
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70 | /*------------------------------------------------------------------------
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71 | *------------------------------------------------------------------------*/
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72 | signA = signF16UI( uiA );
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73 | expA = expF16UI( uiA );
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74 | sigA = fracF16UI( uiA );
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75 | signB = signF16UI( uiB );
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76 | expB = expF16UI( uiB );
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77 | sigB = fracF16UI( uiB );
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78 | signC = signF16UI( uiC ) ^ (op == softfloat_mulAdd_subC);
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79 | expC = expF16UI( uiC );
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80 | sigC = fracF16UI( uiC );
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81 | signProd = signA ^ signB ^ (op == softfloat_mulAdd_subProd);
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82 | /*------------------------------------------------------------------------
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83 | *------------------------------------------------------------------------*/
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84 | if ( expA == 0x1F ) {
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85 | if ( sigA || ((expB == 0x1F) && sigB) ) goto propagateNaN_ABC;
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86 | magBits = expB | sigB;
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87 | goto infProdArg;
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88 | }
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89 | if ( expB == 0x1F ) {
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90 | if ( sigB ) goto propagateNaN_ABC;
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91 | magBits = expA | sigA;
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92 | goto infProdArg;
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93 | }
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94 | if ( expC == 0x1F ) {
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95 | if ( sigC ) {
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96 | uiZ = 0;
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97 | goto propagateNaN_ZC;
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98 | }
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99 | uiZ = uiC;
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100 | goto uiZ;
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101 | }
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102 | /*------------------------------------------------------------------------
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103 | *------------------------------------------------------------------------*/
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104 | if ( ! expA ) {
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105 | if ( ! sigA ) goto zeroProd;
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106 | normExpSig = softfloat_normSubnormalF16Sig( sigA );
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107 | expA = normExpSig.exp;
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108 | sigA = normExpSig.sig;
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109 | }
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110 | if ( ! expB ) {
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111 | if ( ! sigB ) goto zeroProd;
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112 | normExpSig = softfloat_normSubnormalF16Sig( sigB );
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113 | expB = normExpSig.exp;
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114 | sigB = normExpSig.sig;
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115 | }
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116 | /*------------------------------------------------------------------------
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117 | *------------------------------------------------------------------------*/
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118 | expProd = expA + expB - 0xE;
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119 | sigA = (sigA | 0x0400)<<4;
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120 | sigB = (sigB | 0x0400)<<4;
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121 | sigProd = (uint_fast32_t) sigA * sigB;
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122 | if ( sigProd < 0x20000000 ) {
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123 | --expProd;
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124 | sigProd <<= 1;
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125 | }
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126 | signZ = signProd;
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127 | if ( ! expC ) {
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128 | if ( ! sigC ) {
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129 | expZ = expProd - 1;
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130 | sigZ = sigProd>>15 | ((sigProd & 0x7FFF) != 0);
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131 | goto roundPack;
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132 | }
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133 | normExpSig = softfloat_normSubnormalF16Sig( sigC );
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134 | expC = normExpSig.exp;
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135 | sigC = normExpSig.sig;
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136 | }
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137 | sigC = (sigC | 0x0400)<<3;
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138 | /*------------------------------------------------------------------------
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139 | *------------------------------------------------------------------------*/
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140 | expDiff = expProd - expC;
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141 | if ( signProd == signC ) {
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142 | /*--------------------------------------------------------------------
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143 | *--------------------------------------------------------------------*/
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144 | if ( expDiff <= 0 ) {
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145 | expZ = expC;
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146 | sigZ = sigC + softfloat_shiftRightJam32( sigProd, 16 - expDiff );
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147 | } else {
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148 | expZ = expProd;
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149 | sig32Z =
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150 | sigProd
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151 | + softfloat_shiftRightJam32(
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152 | (uint_fast32_t) sigC<<16, expDiff );
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153 | sigZ = sig32Z>>16 | ((sig32Z & 0xFFFF) != 0 );
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154 | }
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155 | if ( sigZ < 0x4000 ) {
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156 | --expZ;
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157 | sigZ <<= 1;
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158 | }
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159 | } else {
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160 | /*--------------------------------------------------------------------
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161 | *--------------------------------------------------------------------*/
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162 | sig32C = (uint_fast32_t) sigC<<16;
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163 | if ( expDiff < 0 ) {
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164 | signZ = signC;
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165 | expZ = expC;
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166 | sig32Z = sig32C - softfloat_shiftRightJam32( sigProd, -expDiff );
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167 | } else if ( ! expDiff ) {
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168 | expZ = expProd;
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169 | sig32Z = sigProd - sig32C;
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170 | if ( ! sig32Z ) goto completeCancellation;
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171 | if ( sig32Z & 0x80000000 ) {
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172 | signZ = ! signZ;
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173 | sig32Z = -sig32Z;
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174 | }
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175 | } else {
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176 | expZ = expProd;
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177 | sig32Z = sigProd - softfloat_shiftRightJam32( sig32C, expDiff );
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178 | }
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179 | shiftDist = softfloat_countLeadingZeros32( sig32Z ) - 1;
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180 | expZ -= shiftDist;
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181 | shiftDist -= 16;
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182 | if ( shiftDist < 0 ) {
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183 | sigZ =
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184 | sig32Z>>(-shiftDist)
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185 | | ((uint32_t) (sig32Z<<(shiftDist & 31)) != 0);
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186 | } else {
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187 | sigZ = (uint_fast16_t) sig32Z<<shiftDist;
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188 | }
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189 | }
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190 | roundPack:
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191 | return softfloat_roundPackToF16( signZ, expZ, sigZ SOFTFLOAT_STATE_ARG_COMMA );
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192 | /*------------------------------------------------------------------------
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193 | *------------------------------------------------------------------------*/
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194 | propagateNaN_ABC:
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195 | uiZ = softfloat_propagateNaNF16UI( uiA, uiB SOFTFLOAT_STATE_ARG_COMMA );
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196 | goto propagateNaN_ZC;
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197 | /*------------------------------------------------------------------------
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198 | *------------------------------------------------------------------------*/
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199 | infProdArg:
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200 | if ( magBits ) {
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201 | uiZ = packToF16UI( signProd, 0x1F, 0 );
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202 | if ( expC != 0x1F ) goto uiZ;
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203 | if ( sigC ) goto propagateNaN_ZC;
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204 | if ( signProd == signC ) goto uiZ;
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205 | }
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206 | softfloat_raiseFlags( softfloat_flag_invalid SOFTFLOAT_STATE_ARG_COMMA );
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207 | uiZ = defaultNaNF16UI;
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208 | propagateNaN_ZC:
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209 | uiZ = softfloat_propagateNaNF16UI( uiZ, uiC SOFTFLOAT_STATE_ARG_COMMA );
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210 | goto uiZ;
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211 | /*------------------------------------------------------------------------
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212 | *------------------------------------------------------------------------*/
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213 | zeroProd:
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214 | uiZ = uiC;
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215 | if ( ! (expC | sigC) && (signProd != signC) ) {
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216 | completeCancellation:
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217 | uiZ =
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218 | packToF16UI(
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219 | (softfloat_roundingMode == softfloat_round_min), 0, 0 );
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220 | }
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221 | uiZ:
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222 | uZ.ui = uiZ;
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223 | return uZ.f;
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224 |
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225 | }
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226 |
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