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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 | #ifdef SOFTFLOAT_FAST_INT64
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45 |
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46 | void
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47 | extF80M_rem(
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48 | const extFloat80_t *aPtr, const extFloat80_t *bPtr, extFloat80_t *zPtr SOFTFLOAT_STATE_DECL_COMMA )
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49 | {
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50 |
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51 | *zPtr = extF80_rem( *aPtr, *bPtr SOFTFLOAT_STATE_ARG_COMMA );
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52 |
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53 | }
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54 |
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55 | #else
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56 |
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57 | void
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58 | extF80M_rem(
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59 | const extFloat80_t *aPtr, const extFloat80_t *bPtr, extFloat80_t *zPtr SOFTFLOAT_STATE_DECL_COMMA )
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60 | {
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61 | const struct extFloat80M *aSPtr, *bSPtr;
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62 | struct extFloat80M *zSPtr;
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63 | uint_fast16_t uiA64;
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64 | int32_t expA, expB;
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65 | uint64_t x64;
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66 | bool signRem;
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67 | uint64_t sigA;
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68 | int32_t expDiff;
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69 | uint32_t rem[3], x[3], sig32B, q, recip32, rem2[3], *remPtr, *altRemPtr;
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70 | uint32_t *newRemPtr, wordMeanRem;
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71 |
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72 | /*------------------------------------------------------------------------
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73 | *------------------------------------------------------------------------*/
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74 | aSPtr = (const struct extFloat80M *) aPtr;
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75 | bSPtr = (const struct extFloat80M *) bPtr;
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76 | zSPtr = (struct extFloat80M *) zPtr;
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77 | /*------------------------------------------------------------------------
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78 | *------------------------------------------------------------------------*/
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79 | uiA64 = aSPtr->signExp;
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80 | expA = expExtF80UI64( uiA64 );
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81 | expB = expExtF80UI64( bSPtr->signExp );
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82 | /*------------------------------------------------------------------------
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83 | *------------------------------------------------------------------------*/
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84 | if ( (expA == 0x7FFF) || (expB == 0x7FFF) ) {
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85 | if ( softfloat_tryPropagateNaNExtF80M( aSPtr, bSPtr, zSPtr SOFTFLOAT_STATE_ARG_COMMA ) ) return;
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86 | if ( expA == 0x7FFF ) goto invalid;
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87 | /*--------------------------------------------------------------------
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88 | | If we get here, then argument b is an infinity and `expB' is 0x7FFF;
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89 | | Doubling `expB' is an easy way to ensure that `expDiff' later is
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90 | | less than -1, which will result in returning a canonicalized version
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91 | | of argument a.
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92 | *--------------------------------------------------------------------*/
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93 | expB += expB;
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94 | }
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95 | /*------------------------------------------------------------------------
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96 | *------------------------------------------------------------------------*/
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97 | if ( ! expB ) expB = 1;
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98 | x64 = bSPtr->signif;
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99 | if ( ! (x64 & UINT64_C( 0x8000000000000000 )) ) {
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100 | if ( ! x64 ) goto invalid;
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101 | expB += softfloat_normExtF80SigM( &x64 );
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102 | }
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103 | signRem = signExtF80UI64( uiA64 );
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104 | if ( ! expA ) expA = 1;
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105 | sigA = aSPtr->signif;
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106 | if ( ! (sigA & UINT64_C( 0x8000000000000000 )) ) {
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107 | if ( ! sigA ) {
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108 | expA = 0;
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109 | goto copyA;
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110 | }
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111 | expA += softfloat_normExtF80SigM( &sigA );
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112 | }
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113 | /*------------------------------------------------------------------------
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114 | *------------------------------------------------------------------------*/
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115 | expDiff = expA - expB;
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116 | if ( expDiff < -1 ) goto copyA;
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117 | rem[indexWord( 3, 2 )] = sigA>>34;
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118 | rem[indexWord( 3, 1 )] = sigA>>2;
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119 | rem[indexWord( 3, 0 )] = (uint32_t) sigA<<30;
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120 | x[indexWord( 3, 0 )] = (uint32_t) x64<<30;
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121 | sig32B = x64>>32;
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122 | x64 >>= 2;
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123 | x[indexWord( 3, 2 )] = x64>>32;
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124 | x[indexWord( 3, 1 )] = x64;
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125 | if ( expDiff < 1 ) {
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126 | if ( expDiff ) {
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127 | --expB;
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128 | softfloat_add96M( x, x, x );
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129 | q = 0;
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130 | } else {
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131 | q = (softfloat_compare96M( x, rem ) <= 0);
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132 | if ( q ) softfloat_sub96M( rem, x, rem );
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133 | }
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134 | } else {
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135 | recip32 = softfloat_approxRecip32_1( sig32B );
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136 | expDiff -= 30;
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137 | for (;;) {
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138 | x64 = (uint64_t) rem[indexWordHi( 3 )] * recip32;
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139 | if ( expDiff < 0 ) break;
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140 | q = (x64 + 0x80000000)>>32;
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141 | softfloat_remStep96MBy32( rem, 29, x, q, rem );
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142 | if ( rem[indexWordHi( 3 )] & 0x80000000 ) {
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143 | softfloat_add96M( rem, x, rem );
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144 | }
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145 | expDiff -= 29;
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146 | }
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147 | /*--------------------------------------------------------------------
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148 | | (`expDiff' cannot be less than -29 here.)
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149 | *--------------------------------------------------------------------*/
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150 | q = (uint32_t) (x64>>32)>>(~expDiff & 31);
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151 | softfloat_remStep96MBy32( rem, expDiff + 30, x, q, rem );
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152 | if ( rem[indexWordHi( 3 )] & 0x80000000 ) {
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153 | remPtr = rem;
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154 | altRemPtr = rem2;
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155 | softfloat_add96M( remPtr, x, altRemPtr );
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156 | goto selectRem;
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157 | }
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158 | }
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159 | /*------------------------------------------------------------------------
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160 | *------------------------------------------------------------------------*/
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161 | remPtr = rem;
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162 | altRemPtr = rem2;
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163 | do {
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164 | ++q;
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165 | newRemPtr = altRemPtr;
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166 | softfloat_sub96M( remPtr, x, newRemPtr );
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167 | altRemPtr = remPtr;
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168 | remPtr = newRemPtr;
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169 | } while ( ! (remPtr[indexWordHi( 3 )] & 0x80000000) );
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170 | selectRem:
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171 | softfloat_add96M( remPtr, altRemPtr, x );
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172 | wordMeanRem = x[indexWordHi( 3 )];
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173 | if (
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174 | (wordMeanRem & 0x80000000)
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175 | || (! wordMeanRem && (q & 1) && ! x[indexWord( 3, 0 )]
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176 | && ! x[indexWord( 3, 1 )])
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177 | ) {
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178 | remPtr = altRemPtr;
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179 | }
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180 | if ( remPtr[indexWordHi( 3 )] & 0x80000000 ) {
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181 | signRem = ! signRem;
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182 | softfloat_negX96M( remPtr );
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183 | }
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184 | softfloat_normRoundPackMToExtF80M( signRem, expB + 2, remPtr, 80, zSPtr SOFTFLOAT_STATE_ARG_COMMA );
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185 | return;
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186 | /*------------------------------------------------------------------------
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187 | *------------------------------------------------------------------------*/
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188 | invalid:
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189 | softfloat_invalidExtF80M( zSPtr SOFTFLOAT_STATE_ARG_COMMA );
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190 | return;
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191 | /*------------------------------------------------------------------------
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192 | *------------------------------------------------------------------------*/
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193 | copyA:
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194 | if ( expA < 1 ) {
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195 | sigA >>= 1 - expA;
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196 | expA = 0;
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197 | }
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198 | zSPtr->signExp = packToExtF80UI64( signRem, expA );
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199 | zSPtr->signif = sigA;
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200 |
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201 | }
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202 |
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203 | #endif
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204 |
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