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| 647 | 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 | |||
| 697 | cejka | 29 | #include "sftypes.h" |
| 30 | #include "conversion.h" |
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| 857 | cejka | 31 | #include "comparison.h" |
| 697 | cejka | 32 | |
| 33 | float64 convertFloat32ToFloat64(float32 a) |
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| 34 | { |
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| 35 | float64 result; |
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| 804 | cejka | 36 | __u64 frac; |
| 697 | cejka | 37 | |
| 38 | result.parts.sign = a.parts.sign; |
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| 804 | cejka | 39 | result.parts.fraction = a.parts.fraction; |
| 40 | result.parts.fraction <<= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE ); |
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| 697 | cejka | 41 | |
| 42 | if ((isFloat32Infinity(a))||(isFloat32NaN(a))) { |
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| 43 | result.parts.exp = 0x7FF; |
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| 44 | /* TODO; check if its correct for SigNaNs*/ |
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| 45 | return result; |
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| 46 | }; |
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| 47 | |||
| 48 | result.parts.exp = a.parts.exp + ( (int)FLOAT64_BIAS - FLOAT32_BIAS ); |
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| 49 | if (a.parts.exp == 0) { |
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| 50 | /* normalize denormalized numbers */ |
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| 51 | |||
| 804 | cejka | 52 | if (result.parts.fraction == 0ll) { /* fix zero */ |
| 697 | cejka | 53 | result.parts.exp = 0ll; |
| 54 | return result; |
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| 55 | } |
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| 56 | |||
| 804 | cejka | 57 | frac = result.parts.fraction; |
| 697 | cejka | 58 | |
| 804 | cejka | 59 | while (!(frac & (0x10000000000000ll))) { |
| 60 | frac <<= 1; |
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| 697 | cejka | 61 | --result.parts.exp; |
| 62 | }; |
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| 698 | cejka | 63 | |
| 64 | ++result.parts.exp; |
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| 804 | cejka | 65 | result.parts.fraction = frac; |
| 697 | cejka | 66 | }; |
| 67 | |||
| 68 | return result; |
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| 69 | |||
| 857 | cejka | 70 | } |
| 697 | cejka | 71 | |
| 72 | float32 convertFloat64ToFloat32(float64 a) |
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| 73 | { |
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| 74 | float32 result; |
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| 75 | __s32 exp; |
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| 804 | cejka | 76 | __u64 frac; |
| 697 | cejka | 77 | |
| 78 | result.parts.sign = a.parts.sign; |
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| 79 | |||
| 80 | if (isFloat64NaN(a)) { |
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| 81 | |||
| 82 | result.parts.exp = 0xFF; |
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| 83 | |||
| 84 | if (isFloat64SigNaN(a)) { |
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| 804 | cejka | 85 | result.parts.fraction = 0x800000; /* set first bit of fraction nonzero */ |
| 697 | cejka | 86 | return result; |
| 87 | } |
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| 88 | |||
| 804 | cejka | 89 | result.parts.fraction = 0x1; /* fraction nonzero but its first bit is zero */ |
| 697 | cejka | 90 | return result; |
| 91 | }; |
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| 92 | |||
| 93 | if (isFloat64Infinity(a)) { |
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| 804 | cejka | 94 | result.parts.fraction = 0; |
| 697 | cejka | 95 | result.parts.exp = 0xFF; |
| 96 | return result; |
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| 97 | }; |
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| 98 | |||
| 99 | exp = (int)a.parts.exp - FLOAT64_BIAS + FLOAT32_BIAS; |
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| 100 | |||
| 101 | if (exp >= 0xFF) { |
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| 102 | /*FIXME: overflow*/ |
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| 804 | cejka | 103 | result.parts.fraction = 0; |
| 697 | cejka | 104 | result.parts.exp = 0xFF; |
| 105 | return result; |
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| 106 | |||
| 107 | } else if (exp <= 0 ) { |
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| 108 | |||
| 109 | /* underflow or denormalized */ |
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| 110 | |||
| 111 | result.parts.exp = 0; |
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| 112 | |||
| 113 | exp *= -1; |
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| 804 | cejka | 114 | if (exp > FLOAT32_FRACTION_SIZE ) { |
| 697 | cejka | 115 | /* FIXME: underflow */ |
| 804 | cejka | 116 | result.parts.fraction = 0; |
| 697 | cejka | 117 | return result; |
| 118 | }; |
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| 119 | |||
| 120 | /* denormalized */ |
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| 121 | |||
| 804 | cejka | 122 | frac = a.parts.fraction; |
| 123 | frac |= 0x10000000000000ll; /* denormalize and set hidden bit */ |
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| 697 | cejka | 124 | |
| 804 | cejka | 125 | frac >>= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE + 1); |
| 698 | cejka | 126 | |
| 697 | cejka | 127 | while (exp > 0) { |
| 128 | --exp; |
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| 804 | cejka | 129 | frac >>= 1; |
| 697 | cejka | 130 | }; |
| 804 | cejka | 131 | result.parts.fraction = frac; |
| 697 | cejka | 132 | |
| 133 | return result; |
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| 134 | }; |
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| 135 | |||
| 136 | result.parts.exp = exp; |
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| 804 | cejka | 137 | result.parts.fraction = a.parts.fraction >> (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE); |
| 697 | cejka | 138 | return result; |
| 857 | cejka | 139 | } |
| 697 | cejka | 140 | |
| 857 | cejka | 141 | |
| 142 | /** Helping procedure for converting float32 to uint32 |
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| 143 | * @param a floating point number in normalized form (no NaNs or Inf are checked ) |
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| 144 | * @return unsigned integer |
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| 145 | */ |
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| 146 | static __u32 _float32_to_uint32_helper(float32 a) |
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| 147 | { |
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| 148 | __u32 frac; |
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| 149 | |||
| 150 | if (a.parts.exp < FLOAT32_BIAS) { |
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| 151 | /*TODO: rounding*/ |
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| 152 | return 0; |
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| 153 | } |
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| 154 | |||
| 155 | frac = a.parts.fraction; |
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| 156 | |||
| 157 | frac |= FLOAT32_HIDDEN_BIT_MASK; |
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| 158 | /* shift fraction to left so hidden bit will be the most significant bit */ |
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| 159 | frac <<= 32 - FLOAT32_FRACTION_SIZE - 1; |
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| 160 | |||
| 161 | frac >>= 32 - (a.parts.exp - FLOAT32_BIAS) - 1; |
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| 162 | if ((a.parts.sign == 1) && (frac != 0)) { |
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| 163 | frac = ~frac; |
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| 164 | ++frac; |
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| 165 | } |
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| 166 | |||
| 167 | return frac; |
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| 168 | } |
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| 169 | |||
| 170 | /* Convert float to unsigned int32 |
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| 171 | * FIXME: Im not sure what to return if overflow/underflow happens |
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| 172 | * - now its the biggest or the smallest int |
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| 173 | */ |
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| 174 | __u32 float32_to_uint32(float32 a) |
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| 175 | { |
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| 176 | if (isFloat32NaN(a)) { |
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| 177 | return MAX_UINT32; |
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| 178 | } |
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| 179 | |||
| 180 | if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS))) { |
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| 181 | if (a.parts.sign) { |
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| 182 | return MIN_UINT32; |
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| 183 | } |
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| 184 | return MAX_UINT32; |
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| 185 | } |
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| 186 | |||
| 187 | return _float32_to_uint32_helper(a); |
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| 188 | } |
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| 189 | |||
| 190 | /* Convert float to signed int32 |
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| 191 | * FIXME: Im not sure what to return if overflow/underflow happens |
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| 192 | * - now its the biggest or the smallest int |
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| 193 | */ |
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| 194 | __s32 float32_to_int32(float32 a) |
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| 195 | { |
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| 196 | if (isFloat32NaN(a)) { |
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| 197 | return MAX_INT32; |
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| 198 | } |
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| 199 | |||
| 200 | if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS))) { |
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| 201 | if (a.parts.sign) { |
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| 202 | return MIN_INT32; |
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| 203 | } |
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| 204 | return MAX_INT32; |
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| 205 | } |
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| 206 | return _float32_to_uint32_helper(a); |
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| 207 | } |
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| 208 | |||
| 209 | |||
| 865 | cejka | 210 | /** Helping procedure for converting float64 to uint64 |
| 211 | * @param a floating point number in normalized form (no NaNs or Inf are checked ) |
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| 212 | * @return unsigned integer |
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| 213 | */ |
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| 214 | static __u64 _float64_to_uint64_helper(float64 a) |
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| 215 | { |
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| 216 | __u64 frac; |
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| 217 | |||
| 218 | if (a.parts.exp < FLOAT64_BIAS) { |
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| 219 | /*TODO: rounding*/ |
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| 220 | return 0; |
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| 221 | } |
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| 222 | |||
| 223 | frac = a.parts.fraction; |
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| 224 | |||
| 225 | frac |= FLOAT64_HIDDEN_BIT_MASK; |
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| 226 | /* shift fraction to left so hidden bit will be the most significant bit */ |
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| 227 | frac <<= 64 - FLOAT64_FRACTION_SIZE - 1; |
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| 857 | cejka | 228 | |
| 865 | cejka | 229 | frac >>= 64 - (a.parts.exp - FLOAT64_BIAS) - 1; |
| 230 | if ((a.parts.sign == 1) && (frac != 0)) { |
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| 231 | frac = ~frac; |
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| 232 | ++frac; |
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| 233 | } |
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| 234 | |||
| 235 | return frac; |
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| 236 | } |
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| 237 | |||
| 238 | /* Convert float to unsigned int64 |
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| 239 | * FIXME: Im not sure what to return if overflow/underflow happens |
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| 240 | * - now its the biggest or the smallest int |
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| 241 | */ |
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| 242 | __u64 float64_to_uint64(float64 a) |
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| 243 | { |
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| 244 | if (isFloat64NaN(a)) { |
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| 245 | return MAX_UINT64; |
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| 246 | } |
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| 247 | |||
| 248 | if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS))) { |
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| 249 | if (a.parts.sign) { |
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| 250 | return MIN_UINT64; |
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| 251 | } |
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| 252 | return MAX_UINT64; |
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| 253 | } |
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| 254 | |||
| 255 | return _float64_to_uint64_helper(a); |
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| 256 | } |
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| 257 | |||
| 258 | /* Convert float to signed int64 |
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| 259 | * FIXME: Im not sure what to return if overflow/underflow happens |
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| 260 | * - now its the biggest or the smallest int |
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| 261 | */ |
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| 262 | __s64 float64_to_int64(float64 a) |
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| 263 | { |
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| 264 | if (isFloat64NaN(a)) { |
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| 265 | return MAX_INT64; |
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| 266 | } |
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| 267 | |||
| 268 | if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS))) { |
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| 269 | if (a.parts.sign) { |
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| 270 | return MIN_INT64; |
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| 271 | } |
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| 272 | return MAX_INT64; |
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| 273 | } |
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| 274 | return _float64_to_uint64_helper(a); |
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| 275 | } |
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| 276 | |||
| 277 | |||
| 278 | |||
| 279 | |||
| 280 | |||
| 281 | /** Helping procedure for converting float32 to uint64 |
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| 282 | * @param a floating point number in normalized form (no NaNs or Inf are checked ) |
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| 283 | * @return unsigned integer |
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| 284 | */ |
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| 285 | static __u64 _float32_to_uint64_helper(float32 a) |
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| 286 | { |
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| 287 | __u64 frac; |
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| 288 | |||
| 289 | if (a.parts.exp < FLOAT32_BIAS) { |
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| 290 | /*TODO: rounding*/ |
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| 291 | return 0; |
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| 292 | } |
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| 293 | |||
| 294 | frac = a.parts.fraction; |
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| 295 | |||
| 296 | frac |= FLOAT32_HIDDEN_BIT_MASK; |
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| 297 | /* shift fraction to left so hidden bit will be the most significant bit */ |
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| 298 | frac <<= 64 - FLOAT32_FRACTION_SIZE - 1; |
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| 299 | |||
| 300 | frac >>= 64 - (a.parts.exp - FLOAT32_BIAS) - 1; |
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| 301 | if ((a.parts.sign == 1) && (frac != 0)) { |
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| 302 | frac = ~frac; |
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| 303 | ++frac; |
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| 304 | } |
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| 305 | |||
| 306 | return frac; |
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| 307 | } |
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| 308 | |||
| 309 | /* Convert float to unsigned int64 |
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| 310 | * FIXME: Im not sure what to return if overflow/underflow happens |
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| 311 | * - now its the biggest or the smallest int |
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| 312 | */ |
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| 313 | __u64 float32_to_uint64(float32 a) |
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| 314 | { |
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| 315 | if (isFloat32NaN(a)) { |
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| 316 | return MAX_UINT64; |
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| 317 | } |
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| 318 | |||
| 319 | if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS))) { |
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| 320 | if (a.parts.sign) { |
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| 321 | return MIN_UINT64; |
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| 322 | } |
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| 323 | return MAX_UINT64; |
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| 324 | } |
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| 325 | |||
| 326 | return _float32_to_uint64_helper(a); |
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| 327 | } |
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| 328 | |||
| 329 | /* Convert float to signed int64 |
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| 330 | * FIXME: Im not sure what to return if overflow/underflow happens |
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| 331 | * - now its the biggest or the smallest int |
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| 332 | */ |
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| 333 | __s64 float32_to_int64(float32 a) |
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| 334 | { |
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| 335 | if (isFloat32NaN(a)) { |
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| 336 | return MAX_INT64; |
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| 337 | } |
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| 338 | |||
| 339 | if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS))) { |
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| 340 | if (a.parts.sign) { |
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| 341 | return (MIN_INT64); |
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| 342 | } |
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| 343 | return MAX_INT64; |
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| 344 | } |
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| 345 | return _float32_to_uint64_helper(a); |
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| 346 | } |
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| 347 | |||
| 348 | |||
| 349 | /* Convert float64 to unsigned int32 |
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| 350 | * FIXME: Im not sure what to return if overflow/underflow happens |
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| 351 | * - now its the biggest or the smallest int |
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| 352 | */ |
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| 353 | __u32 float64_to_uint32(float64 a) |
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| 354 | { |
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| 355 | if (isFloat64NaN(a)) { |
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| 356 | return MAX_UINT32; |
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| 357 | } |
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| 358 | |||
| 359 | if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS))) { |
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| 360 | if (a.parts.sign) { |
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| 361 | return MIN_UINT32; |
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| 362 | } |
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| 363 | return MAX_UINT32; |
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| 364 | } |
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| 365 | |||
| 366 | return (__u32)_float64_to_uint64_helper(a); |
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| 367 | } |
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| 368 | |||
| 369 | /* Convert float64 to signed int32 |
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| 370 | * FIXME: Im not sure what to return if overflow/underflow happens |
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| 371 | * - now its the biggest or the smallest int |
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| 372 | */ |
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| 373 | __s32 float64_to_int32(float64 a) |
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| 374 | { |
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| 375 | if (isFloat64NaN(a)) { |
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| 376 | return MAX_INT32; |
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| 377 | } |
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| 378 | |||
| 379 | if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS))) { |
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| 380 | if (a.parts.sign) { |
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| 381 | return MIN_INT32; |
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| 382 | } |
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| 383 | return MAX_INT32; |
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| 384 | } |
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| 385 | return (__s32)_float64_to_uint64_helper(a); |
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| 386 | } |
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| 387 | |||
| 388 |