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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 | /** Add two Float32 numbers with same signs |
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| 34 | */ |
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| 35 | float32 addFloat32(float32 a, float32 b) |
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| 36 | { |
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| 37 | int expdiff; |
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| 1031 | cejka | 38 | uint32_t exp1, exp2,frac1, frac2; |
| 731 | cejka | 39 | |
| 732 | cejka | 40 | expdiff = a.parts.exp - b.parts.exp; |
| 41 | if (expdiff < 0) { |
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| 731 | cejka | 42 | if (isFloat32NaN(b)) { |
| 804 | cejka | 43 | /* TODO: fix SigNaN */ |
| 731 | cejka | 44 | if (isFloat32SigNaN(b)) { |
| 45 | }; |
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| 46 | |||
| 47 | return b; |
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| 48 | }; |
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| 49 | |||
| 732 | cejka | 50 | if (b.parts.exp == FLOAT32_MAX_EXPONENT) { |
| 731 | cejka | 51 | return b; |
| 52 | } |
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| 53 | |||
| 804 | cejka | 54 | frac1 = b.parts.fraction; |
| 732 | cejka | 55 | exp1 = b.parts.exp; |
| 804 | cejka | 56 | frac2 = a.parts.fraction; |
| 732 | cejka | 57 | exp2 = a.parts.exp; |
| 58 | expdiff *= -1; |
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| 731 | cejka | 59 | } else { |
| 804 | cejka | 60 | if ((isFloat32NaN(a)) || (isFloat32NaN(b))) { |
| 61 | /* TODO: fix SigNaN */ |
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| 732 | cejka | 62 | if (isFloat32SigNaN(a) || isFloat32SigNaN(b)) { |
| 731 | cejka | 63 | }; |
| 804 | cejka | 64 | return (isFloat32NaN(a)?a:b); |
| 731 | cejka | 65 | }; |
| 66 | |||
| 732 | cejka | 67 | if (a.parts.exp == FLOAT32_MAX_EXPONENT) { |
| 731 | cejka | 68 | return a; |
| 69 | } |
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| 70 | |||
| 804 | cejka | 71 | frac1 = a.parts.fraction; |
| 732 | cejka | 72 | exp1 = a.parts.exp; |
| 804 | cejka | 73 | frac2 = b.parts.fraction; |
| 732 | cejka | 74 | exp2 = b.parts.exp; |
| 731 | cejka | 75 | }; |
| 76 | |||
| 77 | if (exp1 == 0) { |
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| 78 | /* both are denormalized */ |
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| 804 | cejka | 79 | frac1 += frac2; |
| 80 | if (frac1 & FLOAT32_HIDDEN_BIT_MASK ) { |
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| 731 | cejka | 81 | /* result is not denormalized */ |
| 82 | a.parts.exp = 1; |
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| 83 | }; |
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| 804 | cejka | 84 | a.parts.fraction = frac1; |
| 731 | cejka | 85 | return a; |
| 86 | }; |
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| 87 | |||
| 804 | cejka | 88 | frac1 |= FLOAT32_HIDDEN_BIT_MASK; /* add hidden bit */ |
| 731 | cejka | 89 | |
| 90 | if (exp2 == 0) { |
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| 91 | /* second operand is denormalized */ |
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| 828 | cejka | 92 | --expdiff; |
| 731 | cejka | 93 | } else { |
| 94 | /* add hidden bit to second operand */ |
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| 804 | cejka | 95 | frac2 |= FLOAT32_HIDDEN_BIT_MASK; |
| 731 | cejka | 96 | }; |
| 97 | |||
| 98 | /* create some space for rounding */ |
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| 804 | cejka | 99 | frac1 <<= 6; |
| 100 | frac2 <<= 6; |
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| 731 | cejka | 101 | |
| 804 | cejka | 102 | if (expdiff < (FLOAT32_FRACTION_SIZE + 2) ) { |
| 103 | frac2 >>= expdiff; |
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| 104 | frac1 += frac2; |
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| 834 | cejka | 105 | } else { |
| 106 | a.parts.exp = exp1; |
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| 107 | a.parts.fraction = (frac1 >> 6) & (~(FLOAT32_HIDDEN_BIT_MASK)); |
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| 108 | return a; |
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| 109 | } |
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| 731 | cejka | 110 | |
| 804 | cejka | 111 | if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7) ) { |
| 731 | cejka | 112 | ++exp1; |
| 804 | cejka | 113 | frac1 >>= 1; |
| 731 | cejka | 114 | }; |
| 115 | |||
| 804 | cejka | 116 | /* rounding - if first bit after fraction is set then round up */ |
| 117 | frac1 += (0x1 << 5); |
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| 731 | cejka | 118 | |
| 804 | cejka | 119 | if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7)) { |
| 120 | /* rounding overflow */ |
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| 731 | cejka | 121 | ++exp1; |
| 804 | cejka | 122 | frac1 >>= 1; |
| 731 | cejka | 123 | }; |
| 124 | |||
| 828 | cejka | 125 | |
| 126 | if ((exp1 == FLOAT32_MAX_EXPONENT ) || (exp2 > exp1)) { |
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| 804 | cejka | 127 | /* overflow - set infinity as result */ |
| 128 | a.parts.exp = FLOAT32_MAX_EXPONENT; |
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| 129 | a.parts.fraction = 0; |
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| 130 | return a; |
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| 131 | } |
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| 132 | |||
| 731 | cejka | 133 | a.parts.exp = exp1; |
| 134 | |||
| 135 | /*Clear hidden bit and shift */ |
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| 804 | cejka | 136 | a.parts.fraction = ((frac1 >> 6) & (~FLOAT32_HIDDEN_BIT_MASK)) ; |
| 731 | cejka | 137 | return a; |
| 138 | } |
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| 139 | |||
| 140 | |||
| 141 | /** Add two Float64 numbers with same signs |
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| 142 | */ |
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| 143 | float64 addFloat64(float64 a, float64 b) |
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| 144 | { |
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| 145 | int expdiff; |
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| 1031 | cejka | 146 | uint32_t exp1, exp2; |
| 147 | uint64_t frac1, frac2; |
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| 731 | cejka | 148 | |
| 834 | cejka | 149 | expdiff = ((int )a.parts.exp) - b.parts.exp; |
| 732 | cejka | 150 | if (expdiff < 0) { |
| 731 | cejka | 151 | if (isFloat64NaN(b)) { |
| 804 | cejka | 152 | /* TODO: fix SigNaN */ |
| 731 | cejka | 153 | if (isFloat64SigNaN(b)) { |
| 154 | }; |
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| 155 | |||
| 156 | return b; |
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| 157 | }; |
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| 158 | |||
| 159 | /* b is infinity and a not */ |
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| 732 | cejka | 160 | if (b.parts.exp == FLOAT64_MAX_EXPONENT ) { |
| 731 | cejka | 161 | return b; |
| 162 | } |
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| 163 | |||
| 804 | cejka | 164 | frac1 = b.parts.fraction; |
| 732 | cejka | 165 | exp1 = b.parts.exp; |
| 804 | cejka | 166 | frac2 = a.parts.fraction; |
| 732 | cejka | 167 | exp2 = a.parts.exp; |
| 168 | expdiff *= -1; |
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| 731 | cejka | 169 | } else { |
| 170 | if (isFloat64NaN(a)) { |
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| 804 | cejka | 171 | /* TODO: fix SigNaN */ |
| 732 | cejka | 172 | if (isFloat64SigNaN(a) || isFloat64SigNaN(b)) { |
| 731 | cejka | 173 | }; |
| 174 | return a; |
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| 175 | }; |
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| 176 | |||
| 177 | /* a is infinity and b not */ |
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| 732 | cejka | 178 | if (a.parts.exp == FLOAT64_MAX_EXPONENT ) { |
| 731 | cejka | 179 | return a; |
| 180 | } |
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| 181 | |||
| 804 | cejka | 182 | frac1 = a.parts.fraction; |
| 731 | cejka | 183 | exp1 = a.parts.exp; |
| 804 | cejka | 184 | frac2 = b.parts.fraction; |
| 731 | cejka | 185 | exp2 = b.parts.exp; |
| 186 | }; |
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| 187 | |||
| 188 | if (exp1 == 0) { |
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| 189 | /* both are denormalized */ |
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| 804 | cejka | 190 | frac1 += frac2; |
| 191 | if (frac1 & FLOAT64_HIDDEN_BIT_MASK) { |
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| 731 | cejka | 192 | /* result is not denormalized */ |
| 193 | a.parts.exp = 1; |
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| 194 | }; |
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| 804 | cejka | 195 | a.parts.fraction = frac1; |
| 731 | cejka | 196 | return a; |
| 197 | }; |
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| 198 | |||
| 804 | cejka | 199 | /* add hidden bit - frac1 is sure not denormalized */ |
| 200 | frac1 |= FLOAT64_HIDDEN_BIT_MASK; |
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| 731 | cejka | 201 | |
| 202 | /* second operand ... */ |
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| 203 | if (exp2 == 0) { |
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| 204 | /* ... is denormalized */ |
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| 205 | --expdiff; |
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| 206 | } else { |
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| 207 | /* is not denormalized */ |
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| 804 | cejka | 208 | frac2 |= FLOAT64_HIDDEN_BIT_MASK; |
| 731 | cejka | 209 | }; |
| 210 | |||
| 211 | /* create some space for rounding */ |
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| 804 | cejka | 212 | frac1 <<= 6; |
| 213 | frac2 <<= 6; |
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| 731 | cejka | 214 | |
| 804 | cejka | 215 | if (expdiff < (FLOAT64_FRACTION_SIZE + 2) ) { |
| 216 | frac2 >>= expdiff; |
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| 217 | frac1 += frac2; |
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| 834 | cejka | 218 | } else { |
| 219 | a.parts.exp = exp1; |
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| 220 | a.parts.fraction = (frac1 >> 6) & (~(FLOAT64_HIDDEN_BIT_MASK)); |
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| 221 | return a; |
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| 222 | } |
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| 731 | cejka | 223 | |
| 804 | cejka | 224 | if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7) ) { |
| 731 | cejka | 225 | ++exp1; |
| 804 | cejka | 226 | frac1 >>= 1; |
| 731 | cejka | 227 | }; |
| 228 | |||
| 804 | cejka | 229 | /* rounding - if first bit after fraction is set then round up */ |
| 230 | frac1 += (0x1 << 5); |
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| 731 | cejka | 231 | |
| 804 | cejka | 232 | if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7)) { |
| 233 | /* rounding overflow */ |
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| 731 | cejka | 234 | ++exp1; |
| 804 | cejka | 235 | frac1 >>= 1; |
| 731 | cejka | 236 | }; |
| 237 | |||
| 834 | cejka | 238 | if ((exp1 == FLOAT64_MAX_EXPONENT ) || (exp2 > exp1)) { |
| 804 | cejka | 239 | /* overflow - set infinity as result */ |
| 240 | a.parts.exp = FLOAT64_MAX_EXPONENT; |
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| 241 | a.parts.fraction = 0; |
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| 242 | return a; |
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| 243 | } |
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| 244 | |||
| 731 | cejka | 245 | a.parts.exp = exp1; |
| 246 | /*Clear hidden bit and shift */ |
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| 804 | cejka | 247 | a.parts.fraction = ( (frac1 >> 6 ) & (~FLOAT64_HIDDEN_BIT_MASK)); |
| 834 | cejka | 248 | |
| 731 | cejka | 249 | return a; |
| 250 | } |
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| 251 | |||
| 252 |