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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 | float64_t f64_div( float64_t a, float64_t b SOFTFLOAT_STATE_DECL_COMMA )
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45 | {
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46 | union ui64_f64 uA;
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47 | uint_fast64_t uiA;
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48 | bool signA;
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49 | int_fast16_t expA;
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50 | uint_fast64_t sigA;
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51 | union ui64_f64 uB;
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52 | uint_fast64_t uiB;
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53 | bool signB;
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54 | int_fast16_t expB;
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55 | uint_fast64_t sigB;
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56 | bool signZ;
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57 | struct exp16_sig64 normExpSig;
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58 | int_fast16_t expZ;
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59 | uint32_t recip32, sig32Z, doubleTerm;
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60 | uint_fast64_t rem;
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61 | uint32_t q;
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62 | uint_fast64_t sigZ;
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63 | uint_fast64_t uiZ;
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64 | union ui64_f64 uZ;
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65 |
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66 | /*------------------------------------------------------------------------
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67 | *------------------------------------------------------------------------*/
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68 | uA.f = a;
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69 | uiA = uA.ui;
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70 | signA = signF64UI( uiA );
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71 | expA = expF64UI( uiA );
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72 | sigA = fracF64UI( uiA );
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73 | uB.f = b;
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74 | uiB = uB.ui;
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75 | signB = signF64UI( uiB );
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76 | expB = expF64UI( uiB );
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77 | sigB = fracF64UI( uiB );
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78 | signZ = signA ^ signB;
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79 | /*------------------------------------------------------------------------
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80 | *------------------------------------------------------------------------*/
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81 | if ( expA == 0x7FF ) {
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82 | if ( sigA ) goto propagateNaN;
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83 | if ( expB == 0x7FF ) {
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84 | if ( sigB ) goto propagateNaN;
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85 | goto invalid;
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86 | }
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87 | goto infinity;
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88 | }
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89 | if ( expB == 0x7FF ) {
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90 | if ( sigB ) goto propagateNaN;
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91 | goto zero;
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92 | }
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93 | /*------------------------------------------------------------------------
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94 | *------------------------------------------------------------------------*/
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95 | if ( ! expB ) {
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96 | if ( ! sigB ) {
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97 | if ( ! (expA | sigA) ) goto invalid;
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98 | softfloat_raiseFlags( softfloat_flag_infinite SOFTFLOAT_STATE_ARG_COMMA );
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99 | goto infinity;
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100 | }
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101 | normExpSig = softfloat_normSubnormalF64Sig( sigB );
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102 | expB = normExpSig.exp;
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103 | sigB = normExpSig.sig;
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104 | }
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105 | if ( ! expA ) {
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106 | if ( ! sigA ) goto zero;
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107 | normExpSig = softfloat_normSubnormalF64Sig( sigA );
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108 | expA = normExpSig.exp;
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109 | sigA = normExpSig.sig;
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110 | }
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111 | /*------------------------------------------------------------------------
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112 | *------------------------------------------------------------------------*/
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113 | expZ = expA - expB + 0x3FE;
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114 | sigA |= UINT64_C( 0x0010000000000000 );
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115 | sigB |= UINT64_C( 0x0010000000000000 );
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116 | if ( sigA < sigB ) {
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117 | --expZ;
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118 | sigA <<= 11;
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119 | } else {
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120 | sigA <<= 10;
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121 | }
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122 | sigB <<= 11;
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123 | recip32 = softfloat_approxRecip32_1( sigB>>32 ) - 2;
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124 | sig32Z = ((uint32_t) (sigA>>32) * (uint_fast64_t) recip32)>>32;
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125 | doubleTerm = sig32Z<<1;
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126 | rem =
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127 | ((sigA - (uint_fast64_t) doubleTerm * (uint32_t) (sigB>>32))<<28)
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128 | - (uint_fast64_t) doubleTerm * ((uint32_t) sigB>>4);
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129 | q = (((uint32_t) (rem>>32) * (uint_fast64_t) recip32)>>32) + 4;
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130 | sigZ = ((uint_fast64_t) sig32Z<<32) + ((uint_fast64_t) q<<4);
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131 | /*------------------------------------------------------------------------
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132 | *------------------------------------------------------------------------*/
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133 | if ( (sigZ & 0x1FF) < 4<<4 ) {
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134 | q &= ~7;
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135 | sigZ &= ~(uint_fast64_t) 0x7F;
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136 | doubleTerm = q<<1;
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137 | rem =
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138 | ((rem - (uint_fast64_t) doubleTerm * (uint32_t) (sigB>>32))<<28)
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139 | - (uint_fast64_t) doubleTerm * ((uint32_t) sigB>>4);
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140 | if ( rem & UINT64_C( 0x8000000000000000 ) ) {
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141 | sigZ -= 1<<7;
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142 | } else {
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143 | if ( rem ) sigZ |= 1;
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144 | }
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145 | }
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146 | return softfloat_roundPackToF64( signZ, expZ, sigZ SOFTFLOAT_STATE_ARG_COMMA );
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147 | /*------------------------------------------------------------------------
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148 | *------------------------------------------------------------------------*/
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149 | propagateNaN:
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150 | uiZ = softfloat_propagateNaNF64UI( uiA, uiB SOFTFLOAT_STATE_ARG_COMMA );
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151 | goto uiZ;
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152 | /*------------------------------------------------------------------------
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153 | *------------------------------------------------------------------------*/
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154 | invalid:
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155 | softfloat_raiseFlags( softfloat_flag_invalid SOFTFLOAT_STATE_ARG_COMMA );
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156 | uiZ = defaultNaNF64UI;
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157 | goto uiZ;
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158 | /*------------------------------------------------------------------------
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159 | *------------------------------------------------------------------------*/
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160 | infinity:
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161 | uiZ = packToF64UI( signZ, 0x7FF, 0 );
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162 | goto uiZ;
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163 | /*------------------------------------------------------------------------
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164 | *------------------------------------------------------------------------*/
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165 | zero:
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166 | uiZ = packToF64UI( signZ, 0, 0 );
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167 | uiZ:
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168 | uZ.ui = uiZ;
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169 | return uZ.f;
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170 |
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171 | }
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172 |
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