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731 | cejka | 1 | /* |
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 | |||
29 | #include<sftypes.h> |
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30 | #include<add.h> |
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31 | #include<comparison.h> |
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32 | |||
33 | float32 divFloat32(float32 a, float32 b) |
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34 | { |
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804 | cejka | 35 | float32 result; |
36 | __s32 aexp, bexp, cexp; |
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37 | __u64 afrac, bfrac, cfrac; |
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731 | cejka | 38 | |
804 | cejka | 39 | result.parts.sign = a.parts.sign ^ b.parts.sign; |
40 | |||
41 | if (isFloat32NaN(a)) { |
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42 | if (isFloat32SigNaN(a)) { |
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43 | /*FIXME: SigNaN*/ |
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44 | } |
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45 | /*NaN*/ |
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46 | return a; |
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47 | } |
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48 | |||
49 | if (isFloat32NaN(b)) { |
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50 | if (isFloat32SigNaN(b)) { |
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51 | /*FIXME: SigNaN*/ |
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52 | } |
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53 | /*NaN*/ |
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54 | return b; |
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55 | } |
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56 | |||
57 | if (isFloat32Infinity(a)) { |
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58 | if (isFloat32Infinity(b)) { |
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59 | /*FIXME: inf / inf */ |
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60 | result.binary = FLOAT32_NAN; |
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61 | return result; |
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62 | } |
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63 | /* inf / num */ |
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64 | result.parts.exp = a.parts.exp; |
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65 | result.parts.fraction = a.parts.fraction; |
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66 | return result; |
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67 | } |
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68 | |||
69 | if (isFloat32Infinity(b)) { |
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70 | if (isFloat32Zero(a)) { |
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71 | /* FIXME 0 / inf */ |
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72 | result.parts.exp = 0; |
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73 | result.parts.fraction = 0; |
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74 | return result; |
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75 | } |
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76 | /* FIXME: num / inf*/ |
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77 | result.parts.exp = 0; |
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78 | result.parts.fraction = 0; |
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79 | return result; |
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80 | } |
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81 | |||
82 | if (isFloat32Zero(b)) { |
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83 | if (isFloat32Zero(a)) { |
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84 | /*FIXME: 0 / 0*/ |
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85 | result.binary = FLOAT32_NAN; |
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86 | return result; |
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87 | } |
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88 | /* FIXME: division by zero */ |
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89 | result.parts.exp = 0; |
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90 | result.parts.fraction = 0; |
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91 | return result; |
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92 | } |
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93 | |||
94 | |||
95 | afrac = a.parts.fraction; |
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96 | aexp = a.parts.exp; |
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97 | bfrac = b.parts.fraction; |
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98 | bexp = b.parts.exp; |
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99 | |||
100 | /* denormalized numbers */ |
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101 | if (aexp == 0) { |
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102 | if (afrac == 0) { |
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103 | result.parts.exp = 0; |
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104 | result.parts.fraction = 0; |
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105 | return result; |
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106 | } |
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107 | /* normalize it*/ |
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108 | |||
109 | afrac <<= 1; |
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110 | /* afrac is nonzero => it must stop */ |
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111 | while (! (afrac & FLOAT32_HIDDEN_BIT_MASK) ) { |
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112 | afrac <<= 1; |
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113 | aexp--; |
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114 | } |
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115 | } |
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116 | |||
117 | if (bexp == 0) { |
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118 | bfrac <<= 1; |
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119 | /* bfrac is nonzero => it must stop */ |
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120 | while (! (bfrac & FLOAT32_HIDDEN_BIT_MASK) ) { |
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121 | bfrac <<= 1; |
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122 | bexp--; |
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123 | } |
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124 | } |
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125 | |||
126 | afrac = (afrac | FLOAT32_HIDDEN_BIT_MASK ) << (32 - FLOAT32_FRACTION_SIZE - 1 ); |
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127 | bfrac = (bfrac | FLOAT32_HIDDEN_BIT_MASK ) << (32 - FLOAT32_FRACTION_SIZE ); |
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128 | |||
129 | if ( bfrac <= (afrac << 1) ) { |
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130 | afrac >>= 1; |
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131 | aexp++; |
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132 | } |
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133 | |||
134 | cexp = aexp - bexp + FLOAT32_BIAS - 2; |
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135 | |||
136 | cfrac = (afrac << 32) / bfrac; |
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137 | if (( cfrac & 0x3F ) == 0) { |
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138 | cfrac |= ( bfrac * cfrac != afrac << 32 ); |
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139 | } |
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140 | |||
141 | /* pack and round */ |
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142 | |||
143 | /* TODO: find first nonzero digit and shift result and detect possibly underflow */ |
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144 | while ((cexp > 0) && (cfrac) && (!(cfrac & (FLOAT32_HIDDEN_BIT_MASK << 7 )))) { |
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145 | cexp--; |
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146 | cfrac <<= 1; |
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147 | /* TODO: fix underflow */ |
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148 | }; |
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149 | |||
150 | |||
151 | cfrac += (0x1 << 6); /* FIXME: 7 is not sure*/ |
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152 | |||
153 | if (cfrac & (FLOAT32_HIDDEN_BIT_MASK << 7)) { |
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154 | ++cexp; |
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155 | cfrac >>= 1; |
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156 | } |
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157 | |||
158 | /* check overflow */ |
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159 | if (cexp >= FLOAT32_MAX_EXPONENT ) { |
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160 | /* FIXME: overflow, return infinity */ |
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161 | result.parts.exp = FLOAT32_MAX_EXPONENT; |
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162 | result.parts.fraction = 0; |
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163 | return result; |
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164 | } |
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165 | |||
166 | if (cexp < 0) { |
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167 | /* FIXME: underflow */ |
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168 | result.parts.exp = 0; |
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169 | if ((cexp + FLOAT32_FRACTION_SIZE) < 0) { |
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170 | result.parts.fraction = 0; |
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171 | return result; |
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172 | } |
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173 | cfrac >>= 1; |
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174 | while (cexp < 0) { |
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175 | cexp ++; |
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176 | cfrac >>= 1; |
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177 | } |
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178 | |||
179 | } else { |
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180 | result.parts.exp = (__u32)cexp; |
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181 | } |
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182 | |||
183 | result.parts.fraction = ((cfrac >> 6) & (~FLOAT32_HIDDEN_BIT_MASK)); |
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184 | |||
185 | return result; |
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731 | cejka | 186 | } |
187 |