1 | /*
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2 | * Copyright (c) 2005 Josef Cejka
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3 | * All rights reserved.
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4 | *
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5 | * Redistribution and use in source and binary forms, with or without
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6 | * modification, are permitted provided that the following conditions
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7 | * are met:
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8 | *
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9 | * - Redistributions of source code must retain the above copyright
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10 | * notice, this list of conditions and the following disclaimer.
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11 | * - Redistributions in binary form must reproduce the above copyright
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12 | * notice, this list of conditions and the following disclaimer in the
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13 | * documentation and/or other materials provided with the distribution.
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14 | * - The name of the author may not be used to endorse or promote products
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15 | * derived from this software without specific prior written permission.
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16 | *
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17 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR
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18 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES
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19 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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20 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
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21 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
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22 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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23 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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24 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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25 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF
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26 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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27 | */
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28 |
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29 | /** @addtogroup softfloat
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30 | * @{
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31 | */
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32 | /** @file
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33 | */
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34 |
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35 | #include<sftypes.h>
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36 | #include<add.h>
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37 | #include<comparison.h>
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38 |
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39 | /** Add two Float32 numbers with same signs
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40 | */
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41 | float32 addFloat32(float32 a, float32 b)
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42 | {
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43 | int expdiff;
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44 | uint32_t exp1, exp2,frac1, frac2;
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45 |
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46 | expdiff = a.parts.exp - b.parts.exp;
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47 | if (expdiff < 0) {
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48 | if (isFloat32NaN(b)) {
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49 | /* TODO: fix SigNaN */
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50 | if (isFloat32SigNaN(b)) {
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51 | };
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52 |
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53 | return b;
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54 | };
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55 |
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56 | if (b.parts.exp == FLOAT32_MAX_EXPONENT) {
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57 | return b;
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58 | }
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59 |
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60 | frac1 = b.parts.fraction;
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61 | exp1 = b.parts.exp;
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62 | frac2 = a.parts.fraction;
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63 | exp2 = a.parts.exp;
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64 | expdiff *= -1;
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65 | } else {
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66 | if ((isFloat32NaN(a)) || (isFloat32NaN(b))) {
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67 | /* TODO: fix SigNaN */
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68 | if (isFloat32SigNaN(a) || isFloat32SigNaN(b)) {
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69 | };
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70 | return (isFloat32NaN(a)?a:b);
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71 | };
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72 |
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73 | if (a.parts.exp == FLOAT32_MAX_EXPONENT) {
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74 | return a;
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75 | }
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76 |
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77 | frac1 = a.parts.fraction;
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78 | exp1 = a.parts.exp;
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79 | frac2 = b.parts.fraction;
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80 | exp2 = b.parts.exp;
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81 | };
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82 |
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83 | if (exp1 == 0) {
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84 | /* both are denormalized */
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85 | frac1 += frac2;
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86 | if (frac1 & FLOAT32_HIDDEN_BIT_MASK ) {
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87 | /* result is not denormalized */
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88 | a.parts.exp = 1;
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89 | };
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90 | a.parts.fraction = frac1;
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91 | return a;
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92 | };
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93 |
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94 | frac1 |= FLOAT32_HIDDEN_BIT_MASK; /* add hidden bit */
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95 |
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96 | if (exp2 == 0) {
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97 | /* second operand is denormalized */
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98 | --expdiff;
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99 | } else {
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100 | /* add hidden bit to second operand */
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101 | frac2 |= FLOAT32_HIDDEN_BIT_MASK;
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102 | };
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103 |
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104 | /* create some space for rounding */
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105 | frac1 <<= 6;
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106 | frac2 <<= 6;
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107 |
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108 | if (expdiff < (FLOAT32_FRACTION_SIZE + 2) ) {
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109 | frac2 >>= expdiff;
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110 | frac1 += frac2;
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111 | } else {
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112 | a.parts.exp = exp1;
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113 | a.parts.fraction = (frac1 >> 6) & (~(FLOAT32_HIDDEN_BIT_MASK));
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114 | return a;
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115 | }
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116 |
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117 | if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7) ) {
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118 | ++exp1;
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119 | frac1 >>= 1;
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120 | };
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121 |
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122 | /* rounding - if first bit after fraction is set then round up */
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123 | frac1 += (0x1 << 5);
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124 |
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125 | if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7)) {
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126 | /* rounding overflow */
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127 | ++exp1;
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128 | frac1 >>= 1;
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129 | };
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130 |
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131 |
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132 | if ((exp1 == FLOAT32_MAX_EXPONENT ) || (exp2 > exp1)) {
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133 | /* overflow - set infinity as result */
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134 | a.parts.exp = FLOAT32_MAX_EXPONENT;
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135 | a.parts.fraction = 0;
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136 | return a;
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137 | }
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138 |
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139 | a.parts.exp = exp1;
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140 |
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141 | /*Clear hidden bit and shift */
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142 | a.parts.fraction = ((frac1 >> 6) & (~FLOAT32_HIDDEN_BIT_MASK)) ;
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143 | return a;
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144 | }
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145 |
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146 |
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147 | /** Add two Float64 numbers with same signs
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148 | */
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149 | float64 addFloat64(float64 a, float64 b)
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150 | {
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151 | int expdiff;
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152 | uint32_t exp1, exp2;
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153 | uint64_t frac1, frac2;
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154 |
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155 | expdiff = ((int )a.parts.exp) - b.parts.exp;
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156 | if (expdiff < 0) {
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157 | if (isFloat64NaN(b)) {
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158 | /* TODO: fix SigNaN */
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159 | if (isFloat64SigNaN(b)) {
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160 | };
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161 |
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162 | return b;
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163 | };
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164 |
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165 | /* b is infinity and a not */
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166 | if (b.parts.exp == FLOAT64_MAX_EXPONENT ) {
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167 | return b;
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168 | }
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169 |
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170 | frac1 = b.parts.fraction;
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171 | exp1 = b.parts.exp;
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172 | frac2 = a.parts.fraction;
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173 | exp2 = a.parts.exp;
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174 | expdiff *= -1;
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175 | } else {
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176 | if (isFloat64NaN(a)) {
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177 | /* TODO: fix SigNaN */
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178 | if (isFloat64SigNaN(a) || isFloat64SigNaN(b)) {
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179 | };
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180 | return a;
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181 | };
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182 |
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183 | /* a is infinity and b not */
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184 | if (a.parts.exp == FLOAT64_MAX_EXPONENT ) {
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185 | return a;
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186 | }
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187 |
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188 | frac1 = a.parts.fraction;
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189 | exp1 = a.parts.exp;
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190 | frac2 = b.parts.fraction;
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191 | exp2 = b.parts.exp;
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192 | };
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193 |
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194 | if (exp1 == 0) {
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195 | /* both are denormalized */
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196 | frac1 += frac2;
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197 | if (frac1 & FLOAT64_HIDDEN_BIT_MASK) {
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198 | /* result is not denormalized */
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199 | a.parts.exp = 1;
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200 | };
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201 | a.parts.fraction = frac1;
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202 | return a;
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203 | };
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204 |
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205 | /* add hidden bit - frac1 is sure not denormalized */
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206 | frac1 |= FLOAT64_HIDDEN_BIT_MASK;
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207 |
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208 | /* second operand ... */
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209 | if (exp2 == 0) {
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210 | /* ... is denormalized */
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211 | --expdiff;
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212 | } else {
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213 | /* is not denormalized */
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214 | frac2 |= FLOAT64_HIDDEN_BIT_MASK;
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215 | };
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216 |
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217 | /* create some space for rounding */
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218 | frac1 <<= 6;
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219 | frac2 <<= 6;
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220 |
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221 | if (expdiff < (FLOAT64_FRACTION_SIZE + 2) ) {
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222 | frac2 >>= expdiff;
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223 | frac1 += frac2;
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224 | } else {
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225 | a.parts.exp = exp1;
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226 | a.parts.fraction = (frac1 >> 6) & (~(FLOAT64_HIDDEN_BIT_MASK));
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227 | return a;
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228 | }
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229 |
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230 | if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7) ) {
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231 | ++exp1;
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232 | frac1 >>= 1;
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233 | };
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234 |
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235 | /* rounding - if first bit after fraction is set then round up */
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236 | frac1 += (0x1 << 5);
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237 |
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238 | if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7)) {
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239 | /* rounding overflow */
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240 | ++exp1;
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241 | frac1 >>= 1;
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242 | };
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243 |
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244 | if ((exp1 == FLOAT64_MAX_EXPONENT ) || (exp2 > exp1)) {
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245 | /* overflow - set infinity as result */
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246 | a.parts.exp = FLOAT64_MAX_EXPONENT;
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247 | a.parts.fraction = 0;
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248 | return a;
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249 | }
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250 |
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251 | a.parts.exp = exp1;
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252 | /*Clear hidden bit and shift */
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253 | a.parts.fraction = ( (frac1 >> 6 ) & (~FLOAT64_HIDDEN_BIT_MASK));
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254 |
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255 | return a;
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256 | }
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257 |
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258 | /** @}
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259 | */
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