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| Rev | Author | Line No. | Line |
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| 731 | cejka | 1 | /* |
| 2071 | jermar | 2 | * Copyright (c) 2005 Josef Cejka |
| 731 | cejka | 3 | * All rights reserved. |
| 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 | |||
| 1740 | jermar | 29 | /** @addtogroup softfloat |
| 1657 | cejka | 30 | * @{ |
| 31 | */ |
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| 32 | /** @file |
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| 33 | */ |
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| 34 | |||
| 731 | cejka | 35 | #include<sftypes.h> |
| 36 | #include<add.h> |
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| 37 | #include<comparison.h> |
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| 38 | |||
| 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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| 1031 | cejka | 44 | uint32_t exp1, exp2,frac1, frac2; |
| 731 | cejka | 45 | |
| 732 | cejka | 46 | expdiff = a.parts.exp - b.parts.exp; |
| 47 | if (expdiff < 0) { |
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| 731 | cejka | 48 | if (isFloat32NaN(b)) { |
| 804 | cejka | 49 | /* TODO: fix SigNaN */ |
| 731 | cejka | 50 | if (isFloat32SigNaN(b)) { |
| 51 | }; |
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| 52 | |||
| 53 | return b; |
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| 54 | }; |
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| 55 | |||
| 732 | cejka | 56 | if (b.parts.exp == FLOAT32_MAX_EXPONENT) { |
| 731 | cejka | 57 | return b; |
| 58 | } |
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| 59 | |||
| 804 | cejka | 60 | frac1 = b.parts.fraction; |
| 732 | cejka | 61 | exp1 = b.parts.exp; |
| 804 | cejka | 62 | frac2 = a.parts.fraction; |
| 732 | cejka | 63 | exp2 = a.parts.exp; |
| 64 | expdiff *= -1; |
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| 731 | cejka | 65 | } else { |
| 804 | cejka | 66 | if ((isFloat32NaN(a)) || (isFloat32NaN(b))) { |
| 67 | /* TODO: fix SigNaN */ |
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| 732 | cejka | 68 | if (isFloat32SigNaN(a) || isFloat32SigNaN(b)) { |
| 731 | cejka | 69 | }; |
| 804 | cejka | 70 | return (isFloat32NaN(a)?a:b); |
| 731 | cejka | 71 | }; |
| 72 | |||
| 732 | cejka | 73 | if (a.parts.exp == FLOAT32_MAX_EXPONENT) { |
| 731 | cejka | 74 | return a; |
| 75 | } |
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| 76 | |||
| 804 | cejka | 77 | frac1 = a.parts.fraction; |
| 732 | cejka | 78 | exp1 = a.parts.exp; |
| 804 | cejka | 79 | frac2 = b.parts.fraction; |
| 732 | cejka | 80 | exp2 = b.parts.exp; |
| 731 | cejka | 81 | }; |
| 82 | |||
| 83 | if (exp1 == 0) { |
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| 84 | /* both are denormalized */ |
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| 804 | cejka | 85 | frac1 += frac2; |
| 86 | if (frac1 & FLOAT32_HIDDEN_BIT_MASK ) { |
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| 731 | cejka | 87 | /* result is not denormalized */ |
| 88 | a.parts.exp = 1; |
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| 89 | }; |
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| 804 | cejka | 90 | a.parts.fraction = frac1; |
| 731 | cejka | 91 | return a; |
| 92 | }; |
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| 93 | |||
| 804 | cejka | 94 | frac1 |= FLOAT32_HIDDEN_BIT_MASK; /* add hidden bit */ |
| 731 | cejka | 95 | |
| 96 | if (exp2 == 0) { |
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| 97 | /* second operand is denormalized */ |
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| 828 | cejka | 98 | --expdiff; |
| 731 | cejka | 99 | } else { |
| 100 | /* add hidden bit to second operand */ |
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| 804 | cejka | 101 | frac2 |= FLOAT32_HIDDEN_BIT_MASK; |
| 731 | cejka | 102 | }; |
| 103 | |||
| 104 | /* create some space for rounding */ |
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| 804 | cejka | 105 | frac1 <<= 6; |
| 106 | frac2 <<= 6; |
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| 731 | cejka | 107 | |
| 804 | cejka | 108 | if (expdiff < (FLOAT32_FRACTION_SIZE + 2) ) { |
| 109 | frac2 >>= expdiff; |
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| 110 | frac1 += frac2; |
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| 834 | cejka | 111 | } else { |
| 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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| 731 | cejka | 116 | |
| 804 | cejka | 117 | if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7) ) { |
| 731 | cejka | 118 | ++exp1; |
| 804 | cejka | 119 | frac1 >>= 1; |
| 731 | cejka | 120 | }; |
| 121 | |||
| 804 | cejka | 122 | /* rounding - if first bit after fraction is set then round up */ |
| 123 | frac1 += (0x1 << 5); |
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| 731 | cejka | 124 | |
| 804 | cejka | 125 | if (frac1 & (FLOAT32_HIDDEN_BIT_MASK << 7)) { |
| 126 | /* rounding overflow */ |
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| 731 | cejka | 127 | ++exp1; |
| 804 | cejka | 128 | frac1 >>= 1; |
| 731 | cejka | 129 | }; |
| 130 | |||
| 828 | cejka | 131 | |
| 132 | if ((exp1 == FLOAT32_MAX_EXPONENT ) || (exp2 > exp1)) { |
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| 804 | cejka | 133 | /* overflow - set infinity as result */ |
| 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 | |||
| 731 | cejka | 139 | a.parts.exp = exp1; |
| 140 | |||
| 141 | /*Clear hidden bit and shift */ |
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| 804 | cejka | 142 | a.parts.fraction = ((frac1 >> 6) & (~FLOAT32_HIDDEN_BIT_MASK)) ; |
| 731 | cejka | 143 | return a; |
| 144 | } |
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| 145 | |||
| 146 | |||
| 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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| 1031 | cejka | 152 | uint32_t exp1, exp2; |
| 153 | uint64_t frac1, frac2; |
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| 731 | cejka | 154 | |
| 834 | cejka | 155 | expdiff = ((int )a.parts.exp) - b.parts.exp; |
| 732 | cejka | 156 | if (expdiff < 0) { |
| 731 | cejka | 157 | if (isFloat64NaN(b)) { |
| 804 | cejka | 158 | /* TODO: fix SigNaN */ |
| 731 | cejka | 159 | if (isFloat64SigNaN(b)) { |
| 160 | }; |
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| 161 | |||
| 162 | return b; |
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| 163 | }; |
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| 164 | |||
| 165 | /* b is infinity and a not */ |
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| 732 | cejka | 166 | if (b.parts.exp == FLOAT64_MAX_EXPONENT ) { |
| 731 | cejka | 167 | return b; |
| 168 | } |
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| 169 | |||
| 804 | cejka | 170 | frac1 = b.parts.fraction; |
| 732 | cejka | 171 | exp1 = b.parts.exp; |
| 804 | cejka | 172 | frac2 = a.parts.fraction; |
| 732 | cejka | 173 | exp2 = a.parts.exp; |
| 174 | expdiff *= -1; |
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| 731 | cejka | 175 | } else { |
| 176 | if (isFloat64NaN(a)) { |
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| 804 | cejka | 177 | /* TODO: fix SigNaN */ |
| 732 | cejka | 178 | if (isFloat64SigNaN(a) || isFloat64SigNaN(b)) { |
| 731 | cejka | 179 | }; |
| 180 | return a; |
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| 181 | }; |
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| 182 | |||
| 183 | /* a is infinity and b not */ |
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| 732 | cejka | 184 | if (a.parts.exp == FLOAT64_MAX_EXPONENT ) { |
| 731 | cejka | 185 | return a; |
| 186 | } |
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| 187 | |||
| 804 | cejka | 188 | frac1 = a.parts.fraction; |
| 731 | cejka | 189 | exp1 = a.parts.exp; |
| 804 | cejka | 190 | frac2 = b.parts.fraction; |
| 731 | cejka | 191 | exp2 = b.parts.exp; |
| 192 | }; |
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| 193 | |||
| 194 | if (exp1 == 0) { |
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| 195 | /* both are denormalized */ |
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| 804 | cejka | 196 | frac1 += frac2; |
| 197 | if (frac1 & FLOAT64_HIDDEN_BIT_MASK) { |
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| 731 | cejka | 198 | /* result is not denormalized */ |
| 199 | a.parts.exp = 1; |
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| 200 | }; |
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| 804 | cejka | 201 | a.parts.fraction = frac1; |
| 731 | cejka | 202 | return a; |
| 203 | }; |
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| 204 | |||
| 804 | cejka | 205 | /* add hidden bit - frac1 is sure not denormalized */ |
| 206 | frac1 |= FLOAT64_HIDDEN_BIT_MASK; |
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| 731 | cejka | 207 | |
| 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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| 804 | cejka | 214 | frac2 |= FLOAT64_HIDDEN_BIT_MASK; |
| 731 | cejka | 215 | }; |
| 216 | |||
| 217 | /* create some space for rounding */ |
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| 804 | cejka | 218 | frac1 <<= 6; |
| 219 | frac2 <<= 6; |
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| 731 | cejka | 220 | |
| 804 | cejka | 221 | if (expdiff < (FLOAT64_FRACTION_SIZE + 2) ) { |
| 222 | frac2 >>= expdiff; |
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| 223 | frac1 += frac2; |
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| 834 | cejka | 224 | } else { |
| 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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| 731 | cejka | 229 | |
| 804 | cejka | 230 | if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7) ) { |
| 731 | cejka | 231 | ++exp1; |
| 804 | cejka | 232 | frac1 >>= 1; |
| 731 | cejka | 233 | }; |
| 234 | |||
| 804 | cejka | 235 | /* rounding - if first bit after fraction is set then round up */ |
| 236 | frac1 += (0x1 << 5); |
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| 731 | cejka | 237 | |
| 804 | cejka | 238 | if (frac1 & (FLOAT64_HIDDEN_BIT_MASK << 7)) { |
| 239 | /* rounding overflow */ |
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| 731 | cejka | 240 | ++exp1; |
| 804 | cejka | 241 | frac1 >>= 1; |
| 731 | cejka | 242 | }; |
| 243 | |||
| 834 | cejka | 244 | if ((exp1 == FLOAT64_MAX_EXPONENT ) || (exp2 > exp1)) { |
| 804 | cejka | 245 | /* overflow - set infinity as result */ |
| 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 | |||
| 731 | cejka | 251 | a.parts.exp = exp1; |
| 252 | /*Clear hidden bit and shift */ |
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| 804 | cejka | 253 | a.parts.fraction = ( (frac1 >> 6 ) & (~FLOAT64_HIDDEN_BIT_MASK)); |
| 834 | cejka | 254 | |
| 731 | cejka | 255 | return a; |
| 256 | } |
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| 257 | |||
| 1740 | jermar | 258 | /** @} |
| 1657 | cejka | 259 | */ |