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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, 2017 The Regents of the
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8 | University of 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 softfloat_addMagsF16( uint_fast16_t uiA, uint_fast16_t uiB SOFTFLOAT_STATE_DECL_COMMA )
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45 | {
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46 | int_fast8_t expA;
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47 | uint_fast16_t sigA;
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48 | int_fast8_t expB;
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49 | uint_fast16_t sigB;
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50 | int_fast8_t expDiff;
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51 | uint_fast16_t uiZ;
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52 | bool signZ;
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53 | int_fast8_t expZ;
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54 | uint_fast16_t sigZ;
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55 | uint_fast16_t sigX, sigY;
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56 | int_fast8_t shiftDist;
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57 | uint_fast32_t sig32Z;
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58 | int_fast8_t roundingMode;
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59 | union ui16_f16 uZ;
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60 |
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61 | /*------------------------------------------------------------------------
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62 | *------------------------------------------------------------------------*/
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63 | expA = expF16UI( uiA );
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64 | sigA = fracF16UI( uiA );
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65 | expB = expF16UI( uiB );
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66 | sigB = fracF16UI( uiB );
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67 | /*------------------------------------------------------------------------
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68 | *------------------------------------------------------------------------*/
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69 | expDiff = expA - expB;
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70 | if ( ! expDiff ) {
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71 | /*--------------------------------------------------------------------
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72 | *--------------------------------------------------------------------*/
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73 | if ( ! expA ) {
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74 | uiZ = uiA + sigB;
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75 | goto uiZ;
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76 | }
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77 | if ( expA == 0x1F ) {
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78 | if ( sigA | sigB ) goto propagateNaN;
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79 | uiZ = uiA;
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80 | goto uiZ;
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81 | }
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82 | signZ = signF16UI( uiA );
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83 | expZ = expA;
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84 | sigZ = 0x0800 + sigA + sigB;
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85 | if ( ! (sigZ & 1) && (expZ < 0x1E) ) {
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86 | sigZ >>= 1;
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87 | goto pack;
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88 | }
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89 | sigZ <<= 3;
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90 | } else {
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91 | /*--------------------------------------------------------------------
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92 | *--------------------------------------------------------------------*/
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93 | signZ = signF16UI( uiA );
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94 | if ( expDiff < 0 ) {
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95 | /*----------------------------------------------------------------
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96 | *----------------------------------------------------------------*/
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97 | if ( expB == 0x1F ) {
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98 | if ( sigB ) goto propagateNaN;
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99 | uiZ = packToF16UI( signZ, 0x1F, 0 );
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100 | goto uiZ;
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101 | }
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102 | if ( expDiff <= -13 ) {
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103 | uiZ = packToF16UI( signZ, expB, sigB );
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104 | if ( expA | sigA ) goto addEpsilon;
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105 | goto uiZ;
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106 | }
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107 | expZ = expB;
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108 | sigX = sigB | 0x0400;
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109 | sigY = sigA + (expA ? 0x0400 : sigA);
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110 | shiftDist = 19 + expDiff;
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111 | } else {
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112 | /*----------------------------------------------------------------
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113 | *----------------------------------------------------------------*/
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114 | uiZ = uiA;
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115 | if ( expA == 0x1F ) {
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116 | if ( sigA ) goto propagateNaN;
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117 | goto uiZ;
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118 | }
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119 | if ( 13 <= expDiff ) {
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120 | if ( expB | sigB ) goto addEpsilon;
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121 | goto uiZ;
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122 | }
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123 | expZ = expA;
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124 | sigX = sigA | 0x0400;
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125 | sigY = sigB + (expB ? 0x0400 : sigB);
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126 | shiftDist = 19 - expDiff;
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127 | }
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128 | sig32Z =
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129 | ((uint_fast32_t) sigX<<19) + ((uint_fast32_t) sigY<<shiftDist);
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130 | if ( sig32Z < 0x40000000 ) {
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131 | --expZ;
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132 | sig32Z <<= 1;
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133 | }
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134 | sigZ = sig32Z>>16;
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135 | if ( sig32Z & 0xFFFF ) {
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136 | sigZ |= 1;
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137 | } else {
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138 | if ( ! (sigZ & 0xF) && (expZ < 0x1E) ) {
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139 | sigZ >>= 4;
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140 | goto pack;
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141 | }
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142 | }
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143 | }
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144 | return softfloat_roundPackToF16( signZ, expZ, sigZ SOFTFLOAT_STATE_ARG_COMMA );
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145 | /*------------------------------------------------------------------------
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146 | *------------------------------------------------------------------------*/
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147 | propagateNaN:
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148 | uiZ = softfloat_propagateNaNF16UI( uiA, uiB SOFTFLOAT_STATE_ARG_COMMA );
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149 | goto uiZ;
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150 | /*------------------------------------------------------------------------
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151 | *------------------------------------------------------------------------*/
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152 | addEpsilon:
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153 | roundingMode = softfloat_roundingMode;
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154 | if ( roundingMode != softfloat_round_near_even ) {
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155 | if (
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156 | roundingMode
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157 | == (signF16UI( uiZ ) ? softfloat_round_min
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158 | : softfloat_round_max)
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159 | ) {
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160 | ++uiZ;
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161 | if ( (uint16_t) (uiZ<<1) == 0xF800 ) {
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162 | softfloat_raiseFlags(
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163 | softfloat_flag_overflow | softfloat_flag_inexact
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164 | SOFTFLOAT_STATE_ARG_COMMA );
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165 | }
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166 | }
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167 | #ifdef SOFTFLOAT_ROUND_ODD
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168 | else if ( roundingMode == softfloat_round_odd ) {
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169 | uiZ |= 1;
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170 | }
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171 | #endif
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172 | }
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173 | softfloat_exceptionFlags |= softfloat_flag_inexact;
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174 | goto uiZ;
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175 | /*------------------------------------------------------------------------
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176 | *------------------------------------------------------------------------*/
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177 | pack:
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178 | uiZ = packToF16UI( signZ, expZ, sigZ );
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179 | uiZ:
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180 | uZ.ui = uiZ;
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181 | return uZ.f;
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182 |
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183 | }
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184 |
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