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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_subMagsF16( 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 | int_fast16_t sigDiff;
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53 | bool signZ;
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54 | int_fast8_t shiftDist, expZ;
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55 | uint_fast16_t sigZ, sigX, sigY;
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56 | uint_fast32_t sig32Z;
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57 | int_fast8_t roundingMode;
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58 | union ui16_f16 uZ;
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59 |
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60 | /*------------------------------------------------------------------------
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61 | *------------------------------------------------------------------------*/
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62 | expA = expF16UI( uiA );
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63 | sigA = fracF16UI( uiA );
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64 | expB = expF16UI( uiB );
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65 | sigB = fracF16UI( uiB );
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66 | /*------------------------------------------------------------------------
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67 | *------------------------------------------------------------------------*/
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68 | expDiff = expA - expB;
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69 | if ( ! expDiff ) {
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70 | /*--------------------------------------------------------------------
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71 | *--------------------------------------------------------------------*/
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72 | if ( expA == 0x1F ) {
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73 | if ( sigA | sigB ) goto propagateNaN;
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74 | softfloat_raiseFlags( softfloat_flag_invalid SOFTFLOAT_STATE_ARG_COMMA );
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75 | uiZ = defaultNaNF16UI;
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76 | goto uiZ;
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77 | }
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78 | sigDiff = sigA - sigB;
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79 | if ( ! sigDiff ) {
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80 | uiZ =
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81 | packToF16UI(
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82 | (softfloat_roundingMode == softfloat_round_min), 0, 0 );
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83 | goto uiZ;
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84 | }
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85 | if ( expA ) --expA;
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86 | signZ = signF16UI( uiA );
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87 | if ( sigDiff < 0 ) {
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88 | signZ = ! signZ;
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89 | sigDiff = -sigDiff;
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90 | }
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91 | shiftDist = softfloat_countLeadingZeros16( sigDiff ) - 5;
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92 | expZ = expA - shiftDist;
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93 | if ( expZ < 0 ) {
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94 | shiftDist = expA;
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95 | expZ = 0;
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96 | }
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97 | sigZ = sigDiff<<shiftDist;
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98 | goto pack;
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99 | } else {
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100 | /*--------------------------------------------------------------------
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101 | *--------------------------------------------------------------------*/
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102 | signZ = signF16UI( uiA );
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103 | if ( expDiff < 0 ) {
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104 | /*----------------------------------------------------------------
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105 | *----------------------------------------------------------------*/
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106 | signZ = ! signZ;
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107 | if ( expB == 0x1F ) {
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108 | if ( sigB ) goto propagateNaN;
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109 | uiZ = packToF16UI( signZ, 0x1F, 0 );
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110 | goto uiZ;
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111 | }
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112 | if ( expDiff <= -13 ) {
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113 | uiZ = packToF16UI( signZ, expB, sigB );
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114 | if ( expA | sigA ) goto subEpsilon;
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115 | goto uiZ;
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116 | }
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117 | expZ = expA + 19;
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118 | sigX = sigB | 0x0400;
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119 | sigY = sigA + (expA ? 0x0400 : sigA);
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120 | expDiff = -expDiff;
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121 | } else {
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122 | /*----------------------------------------------------------------
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123 | *----------------------------------------------------------------*/
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124 | uiZ = uiA;
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125 | if ( expA == 0x1F ) {
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126 | if ( sigA ) goto propagateNaN;
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127 | goto uiZ;
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128 | }
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129 | if ( 13 <= expDiff ) {
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130 | if ( expB | sigB ) goto subEpsilon;
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131 | goto uiZ;
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132 | }
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133 | expZ = expB + 19;
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134 | sigX = sigA | 0x0400;
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135 | sigY = sigB + (expB ? 0x0400 : sigB);
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136 | }
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137 | sig32Z = ((uint_fast32_t) sigX<<expDiff) - sigY;
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138 | shiftDist = softfloat_countLeadingZeros32( sig32Z ) - 1;
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139 | sig32Z <<= shiftDist;
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140 | expZ -= shiftDist;
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141 | sigZ = sig32Z>>16;
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142 | if ( sig32Z & 0xFFFF ) {
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143 | sigZ |= 1;
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144 | } else {
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145 | if ( ! (sigZ & 0xF) && ((unsigned int) expZ < 0x1E) ) {
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146 | sigZ >>= 4;
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147 | goto pack;
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148 | }
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149 | }
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150 | return softfloat_roundPackToF16( signZ, expZ, sigZ SOFTFLOAT_STATE_ARG_COMMA );
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151 | }
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152 | /*------------------------------------------------------------------------
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153 | *------------------------------------------------------------------------*/
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154 | propagateNaN:
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155 | uiZ = softfloat_propagateNaNF16UI( uiA, uiB SOFTFLOAT_STATE_ARG_COMMA );
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156 | goto uiZ;
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157 | /*------------------------------------------------------------------------
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158 | *------------------------------------------------------------------------*/
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159 | subEpsilon:
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160 | roundingMode = softfloat_roundingMode;
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161 | if ( roundingMode != softfloat_round_near_even ) {
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162 | if (
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163 | (roundingMode == softfloat_round_minMag)
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164 | || (roundingMode
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165 | == (signF16UI( uiZ ) ? softfloat_round_max
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166 | : softfloat_round_min))
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167 | ) {
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168 | --uiZ;
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169 | }
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170 | #ifdef SOFTFLOAT_ROUND_ODD
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171 | else if ( roundingMode == softfloat_round_odd ) {
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172 | uiZ = (uiZ - 1) | 1;
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173 | }
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174 | #endif
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175 | }
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176 | softfloat_exceptionFlags |= softfloat_flag_inexact;
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177 | goto uiZ;
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178 | /*------------------------------------------------------------------------
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179 | *------------------------------------------------------------------------*/
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180 | pack:
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181 | uiZ = packToF16UI( signZ, expZ, sigZ );
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182 | uiZ:
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183 | uZ.ui = uiZ;
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184 | return uZ.f;
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185 |
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186 | }
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187 |
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