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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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| 38 | __u32 exp1, exp2,mant1, mant2; |
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| 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)) { |
| 43 | //TODO: fix SigNaN |
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| 44 | if (isFloat32SigNaN(b)) { |
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| 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 | |||
| 732 | cejka | 54 | mant1 = b.parts.mantisa; |
| 55 | exp1 = b.parts.exp; |
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| 56 | mant2 = a.parts.mantisa; |
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| 57 | exp2 = a.parts.exp; |
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| 58 | expdiff *= -1; |
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| 731 | cejka | 59 | } else { |
| 60 | if (isFloat32NaN(a)) { |
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| 61 | //TODO: fix SigNaN |
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| 732 | cejka | 62 | if (isFloat32SigNaN(a) || isFloat32SigNaN(b)) { |
| 731 | cejka | 63 | }; |
| 64 | return a; |
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| 65 | }; |
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| 66 | |||
| 732 | cejka | 67 | if (a.parts.exp == FLOAT32_MAX_EXPONENT) { |
| 731 | cejka | 68 | return a; |
| 69 | } |
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| 70 | |||
| 732 | cejka | 71 | mant1 = a.parts.mantisa; |
| 72 | exp1 = a.parts.exp; |
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| 73 | mant2 = b.parts.mantisa; |
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| 74 | exp2 = b.parts.exp; |
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| 731 | cejka | 75 | }; |
| 76 | |||
| 77 | if (exp1 == 0) { |
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| 78 | /* both are denormalized */ |
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| 79 | mant1 += mant2; |
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| 80 | if (mant1 & FLOAT32_HIDDEN_BIT_MASK ) { |
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| 81 | /* result is not denormalized */ |
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| 82 | a.parts.exp = 1; |
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| 83 | }; |
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| 84 | a.parts.mantisa = mant1; |
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| 85 | return a; |
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| 86 | }; |
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| 87 | |||
| 88 | mant1 |= FLOAT32_HIDDEN_BIT_MASK; //add hidden bit |
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| 89 | |||
| 90 | if (exp2 == 0) { |
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| 91 | /* second operand is denormalized */ |
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| 92 | --expdiff; |
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| 93 | } else { |
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| 94 | /* add hidden bit to second operand */ |
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| 95 | mant2 |= FLOAT32_HIDDEN_BIT_MASK; |
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| 96 | }; |
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| 97 | |||
| 98 | /* create some space for rounding */ |
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| 99 | mant1 <<= 6; |
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| 100 | mant2 <<= 6; |
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| 101 | |||
| 732 | cejka | 102 | if (expdiff > (FLOAT32_MANTISA_SIZE + 1) ) { |
| 731 | cejka | 103 | goto done; |
| 104 | }; |
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| 105 | |||
| 732 | cejka | 106 | mant2 >>= expdiff; |
| 107 | mant1 += mant2; |
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| 731 | cejka | 108 | done: |
| 732 | cejka | 109 | if (mant1 & (FLOAT32_HIDDEN_BIT_MASK << 7) ) { |
| 731 | cejka | 110 | ++exp1; |
| 111 | mant1 >>= 1; |
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| 112 | }; |
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| 113 | |||
| 114 | /* rounding - if first bit after mantisa is set then round up */ |
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| 115 | mant1 += (0x1 << 5); |
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| 116 | |||
| 732 | cejka | 117 | if (mant1 & (FLOAT32_HIDDEN_BIT_MASK << 7)) { |
| 731 | cejka | 118 | ++exp1; |
| 732 | cejka | 119 | mant1 >>= 1; |
| 731 | cejka | 120 | }; |
| 121 | |||
| 122 | a.parts.exp = exp1; |
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| 123 | |||
| 124 | /*Clear hidden bit and shift */ |
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| 732 | cejka | 125 | a.parts.mantisa = ((mant1 >> 6) & (~FLOAT32_HIDDEN_BIT_MASK)) ; |
| 731 | cejka | 126 | return a; |
| 127 | } |
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| 128 | |||
| 129 | |||
| 130 | /** Add two Float64 numbers with same signs |
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| 131 | */ |
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| 132 | float64 addFloat64(float64 a, float64 b) |
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| 133 | { |
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| 134 | int expdiff; |
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| 734 | cejka | 135 | __u32 exp1, exp2; |
| 136 | __u64 mant1, mant2; |
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| 731 | cejka | 137 | |
| 732 | cejka | 138 | expdiff = a.parts.exp - b.parts.exp; |
| 139 | if (expdiff < 0) { |
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| 731 | cejka | 140 | if (isFloat64NaN(b)) { |
| 141 | //TODO: fix SigNaN |
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| 142 | if (isFloat64SigNaN(b)) { |
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| 143 | }; |
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| 144 | |||
| 145 | return b; |
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| 146 | }; |
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| 147 | |||
| 148 | /* b is infinity and a not */ |
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| 732 | cejka | 149 | if (b.parts.exp == FLOAT64_MAX_EXPONENT ) { |
| 731 | cejka | 150 | return b; |
| 151 | } |
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| 152 | |||
| 732 | cejka | 153 | mant1 = b.parts.mantisa; |
| 154 | exp1 = b.parts.exp; |
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| 155 | mant2 = a.parts.mantisa; |
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| 156 | exp2 = a.parts.exp; |
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| 157 | expdiff *= -1; |
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| 731 | cejka | 158 | } else { |
| 159 | if (isFloat64NaN(a)) { |
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| 160 | //TODO: fix SigNaN |
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| 732 | cejka | 161 | if (isFloat64SigNaN(a) || isFloat64SigNaN(b)) { |
| 731 | cejka | 162 | }; |
| 163 | return a; |
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| 164 | }; |
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| 165 | |||
| 166 | /* a is infinity and b not */ |
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| 732 | cejka | 167 | if (a.parts.exp == FLOAT64_MAX_EXPONENT ) { |
| 731 | cejka | 168 | return a; |
| 169 | } |
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| 170 | |||
| 171 | mant1 = a.parts.mantisa; |
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| 172 | exp1 = a.parts.exp; |
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| 173 | mant2 = b.parts.mantisa; |
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| 174 | exp2 = b.parts.exp; |
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| 175 | }; |
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| 176 | |||
| 177 | if (exp1 == 0) { |
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| 178 | /* both are denormalized */ |
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| 179 | mant1 += mant2; |
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| 180 | if (mant1 & FLOAT64_HIDDEN_BIT_MASK) { |
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| 181 | /* result is not denormalized */ |
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| 182 | a.parts.exp = 1; |
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| 183 | }; |
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| 184 | a.parts.mantisa = mant1; |
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| 185 | return a; |
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| 186 | }; |
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| 187 | |||
| 188 | /* add hidden bit - mant1 is sure not denormalized */ |
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| 189 | mant1 |= FLOAT64_HIDDEN_BIT_MASK; |
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| 190 | |||
| 191 | /* second operand ... */ |
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| 192 | if (exp2 == 0) { |
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| 193 | /* ... is denormalized */ |
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| 194 | --expdiff; |
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| 195 | } else { |
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| 196 | /* is not denormalized */ |
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| 197 | mant2 |= FLOAT64_HIDDEN_BIT_MASK; |
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| 198 | }; |
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| 199 | |||
| 200 | /* create some space for rounding */ |
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| 201 | mant1 <<= 6; |
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| 202 | mant2 <<= 6; |
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| 203 | |||
| 732 | cejka | 204 | if (expdiff > (FLOAT64_MANTISA_SIZE + 1) ) { |
| 731 | cejka | 205 | goto done; |
| 206 | }; |
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| 207 | |||
| 208 | mant2 >>= expdiff; |
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| 209 | mant1 += mant2; |
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| 210 | done: |
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| 732 | cejka | 211 | if (mant1 & (FLOAT64_HIDDEN_BIT_MASK << 7) ) { |
| 731 | cejka | 212 | ++exp1; |
| 213 | mant1 >>= 1; |
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| 214 | }; |
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| 215 | |||
| 216 | /* rounding - if first bit after mantisa is set then round up */ |
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| 217 | mant1 += (0x1 << 5); |
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| 218 | |||
| 732 | cejka | 219 | if (mant1 & (FLOAT64_HIDDEN_BIT_MASK << 7)) { |
| 731 | cejka | 220 | ++exp1; |
| 732 | cejka | 221 | mant1 >>= 1; |
| 731 | cejka | 222 | }; |
| 223 | |||
| 224 | a.parts.exp = exp1; |
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| 225 | /*Clear hidden bit and shift */ |
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| 732 | cejka | 226 | a.parts.mantisa = ( (mant1 >> 6 ) & (~FLOAT64_HIDDEN_BIT_MASK)); |
| 731 | cejka | 227 | return a; |
| 228 | } |
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| 229 | |||
| 230 |