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 | #include<sftypes.h>
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30 | #include<sub.h>
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31 | #include<comparison.h>
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32 |
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33 | /** Subtract two float32 numbers with same signs
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34 | */
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35 | float32 subFloat32(float32 a, float32 b)
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36 | {
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37 | int expdiff;
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38 | uint32_t exp1, exp2, frac1, frac2;
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39 | float32 result;
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40 |
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41 | result.f = 0;
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42 |
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43 | expdiff = a.parts.exp - b.parts.exp;
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44 | if ((expdiff < 0 ) || ((expdiff == 0) && (a.parts.fraction < b.parts.fraction))) {
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45 | if (isFloat32NaN(b)) {
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46 | /* TODO: fix SigNaN */
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47 | if (isFloat32SigNaN(b)) {
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48 | };
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49 | return b;
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50 | };
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51 |
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52 | if (b.parts.exp == FLOAT32_MAX_EXPONENT) {
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53 | b.parts.sign = !b.parts.sign; /* num -(+-inf) = -+inf */
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54 | return b;
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55 | }
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56 |
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57 | result.parts.sign = !a.parts.sign;
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58 |
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59 | frac1 = b.parts.fraction;
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60 | exp1 = b.parts.exp;
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61 | frac2 = a.parts.fraction;
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62 | exp2 = a.parts.exp;
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63 | expdiff *= -1;
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64 | } else {
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65 | if (isFloat32NaN(a)) {
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66 | /* TODO: fix SigNaN */
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67 | if (isFloat32SigNaN(a) || isFloat32SigNaN(b)) {
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68 | };
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69 | return a;
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70 | };
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71 |
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72 | if (a.parts.exp == FLOAT32_MAX_EXPONENT) {
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73 | if (b.parts.exp == FLOAT32_MAX_EXPONENT) {
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74 | /* inf - inf => nan */
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75 | /* TODO: fix exception */
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76 | result.binary = FLOAT32_NAN;
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77 | return result;
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78 | };
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79 | return a;
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80 | }
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81 |
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82 | result.parts.sign = a.parts.sign;
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83 |
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84 | frac1 = a.parts.fraction;
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85 | exp1 = a.parts.exp;
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86 | frac2 = b.parts.fraction;
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87 | exp2 = b.parts.exp;
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88 | };
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89 |
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90 | if (exp1 == 0) {
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91 | /* both are denormalized */
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92 | result.parts.fraction = frac1-frac2;
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93 | if (result.parts.fraction > frac1) {
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94 | /* TODO: underflow exception */
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95 | return result;
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96 | };
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97 | result.parts.exp = 0;
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98 | return result;
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99 | };
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100 |
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101 | /* add hidden bit */
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102 | frac1 |= FLOAT32_HIDDEN_BIT_MASK;
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103 |
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104 | if (exp2 == 0) {
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105 | /* denormalized */
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106 | --expdiff;
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107 | } else {
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108 | /* normalized */
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109 | frac2 |= FLOAT32_HIDDEN_BIT_MASK;
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110 | };
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111 |
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112 | /* create some space for rounding */
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113 | frac1 <<= 6;
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114 | frac2 <<= 6;
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115 |
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116 | if (expdiff > FLOAT32_FRACTION_SIZE + 1) {
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117 | goto done;
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118 | };
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119 |
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120 | frac1 = frac1 - (frac2 >> expdiff);
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121 | done:
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122 | /* TODO: find first nonzero digit and shift result and detect possibly underflow */
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123 | while ((exp1 > 0) && (!(frac1 & (FLOAT32_HIDDEN_BIT_MASK << 6 )))) {
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124 | --exp1;
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125 | frac1 <<= 1;
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126 | /* TODO: fix underflow - frac1 == 0 does not necessary means underflow... */
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127 | };
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128 |
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129 | /* rounding - if first bit after fraction is set then round up */
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130 | frac1 += 0x20;
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131 |
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132 | if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7)) {
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133 | ++exp1;
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134 | frac1 >>= 1;
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135 | };
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136 |
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137 | /*Clear hidden bit and shift */
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138 | result.parts.fraction = ((frac1 >> 6) & (~FLOAT32_HIDDEN_BIT_MASK));
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139 | result.parts.exp = exp1;
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140 |
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141 | return result;
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142 | }
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143 |
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144 | /** Subtract two float64 numbers with same signs
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145 | */
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146 | float64 subFloat64(float64 a, float64 b)
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147 | {
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148 | int expdiff;
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149 | uint32_t exp1, exp2;
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150 | uint64_t frac1, frac2;
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151 | float64 result;
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152 |
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153 | result.d = 0;
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154 |
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155 | expdiff = a.parts.exp - b.parts.exp;
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156 | if ((expdiff < 0 ) || ((expdiff == 0) && (a.parts.fraction < b.parts.fraction))) {
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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 | return b;
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162 | };
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163 |
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164 | if (b.parts.exp == FLOAT64_MAX_EXPONENT) {
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165 | b.parts.sign = !b.parts.sign; /* num -(+-inf) = -+inf */
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166 | return b;
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167 | }
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168 |
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169 | result.parts.sign = !a.parts.sign;
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170 |
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171 | frac1 = b.parts.fraction;
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172 | exp1 = b.parts.exp;
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173 | frac2 = a.parts.fraction;
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174 | exp2 = a.parts.exp;
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175 | expdiff *= -1;
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176 | } else {
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177 | if (isFloat64NaN(a)) {
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178 | /* TODO: fix SigNaN */
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179 | if (isFloat64SigNaN(a) || isFloat64SigNaN(b)) {
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180 | };
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181 | return a;
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182 | };
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183 |
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184 | if (a.parts.exp == FLOAT64_MAX_EXPONENT) {
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185 | if (b.parts.exp == FLOAT64_MAX_EXPONENT) {
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186 | /* inf - inf => nan */
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187 | /* TODO: fix exception */
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188 | result.binary = FLOAT64_NAN;
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189 | return result;
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190 | };
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191 | return a;
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192 | }
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193 |
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194 | result.parts.sign = a.parts.sign;
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195 |
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196 | frac1 = a.parts.fraction;
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197 | exp1 = a.parts.exp;
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198 | frac2 = b.parts.fraction;
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199 | exp2 = b.parts.exp;
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200 | };
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201 |
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202 | if (exp1 == 0) {
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203 | /* both are denormalized */
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204 | result.parts.fraction = frac1 - frac2;
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205 | if (result.parts.fraction > frac1) {
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206 | /* TODO: underflow exception */
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207 | return result;
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208 | };
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209 | result.parts.exp = 0;
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210 | return result;
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211 | };
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212 |
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213 | /* add hidden bit */
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214 | frac1 |= FLOAT64_HIDDEN_BIT_MASK;
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215 |
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216 | if (exp2 == 0) {
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217 | /* denormalized */
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218 | --expdiff;
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219 | } else {
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220 | /* normalized */
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221 | frac2 |= FLOAT64_HIDDEN_BIT_MASK;
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222 | };
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223 |
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224 | /* create some space for rounding */
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225 | frac1 <<= 6;
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226 | frac2 <<= 6;
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227 |
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228 | if (expdiff > FLOAT64_FRACTION_SIZE + 1) {
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229 | goto done;
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230 | };
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231 |
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232 | frac1 = frac1 - (frac2 >> expdiff);
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233 | done:
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234 | /* TODO: find first nonzero digit and shift result and detect possibly underflow */
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235 | while ((exp1 > 0) && (!(frac1 & (FLOAT64_HIDDEN_BIT_MASK << 6 )))) {
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236 | --exp1;
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237 | frac1 <<= 1;
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238 | /* TODO: fix underflow - frac1 == 0 does not necessary means underflow... */
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239 | };
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240 |
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241 | /* rounding - if first bit after fraction is set then round up */
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242 | frac1 += 0x20;
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243 |
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244 | if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7)) {
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245 | ++exp1;
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246 | frac1 >>= 1;
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247 | };
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248 |
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249 | /*Clear hidden bit and shift */
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250 | result.parts.fraction = ((frac1 >> 6) & (~FLOAT64_HIDDEN_BIT_MASK));
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251 | result.parts.exp = exp1;
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252 |
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253 | return result;
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254 | }
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255 |
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