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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" |
874 | cejka | 32 | #include "common.h" |
697 | cejka | 33 | |
34 | float64 convertFloat32ToFloat64(float32 a) |
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35 | { |
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36 | float64 result; |
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1031 | cejka | 37 | uint64_t frac; |
697 | cejka | 38 | |
39 | result.parts.sign = a.parts.sign; |
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804 | cejka | 40 | result.parts.fraction = a.parts.fraction; |
41 | result.parts.fraction <<= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE ); |
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697 | cejka | 42 | |
43 | if ((isFloat32Infinity(a))||(isFloat32NaN(a))) { |
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44 | result.parts.exp = 0x7FF; |
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45 | /* TODO; check if its correct for SigNaNs*/ |
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46 | return result; |
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47 | }; |
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48 | |||
49 | result.parts.exp = a.parts.exp + ( (int)FLOAT64_BIAS - FLOAT32_BIAS ); |
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50 | if (a.parts.exp == 0) { |
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51 | /* normalize denormalized numbers */ |
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52 | |||
804 | cejka | 53 | if (result.parts.fraction == 0ll) { /* fix zero */ |
697 | cejka | 54 | result.parts.exp = 0ll; |
55 | return result; |
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56 | } |
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57 | |||
804 | cejka | 58 | frac = result.parts.fraction; |
697 | cejka | 59 | |
804 | cejka | 60 | while (!(frac & (0x10000000000000ll))) { |
61 | frac <<= 1; |
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697 | cejka | 62 | --result.parts.exp; |
63 | }; |
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698 | cejka | 64 | |
65 | ++result.parts.exp; |
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804 | cejka | 66 | result.parts.fraction = frac; |
697 | cejka | 67 | }; |
68 | |||
69 | return result; |
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70 | |||
857 | cejka | 71 | } |
697 | cejka | 72 | |
73 | float32 convertFloat64ToFloat32(float64 a) |
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74 | { |
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75 | float32 result; |
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1031 | cejka | 76 | int32_t exp; |
77 | uint64_t frac; |
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697 | cejka | 78 | |
79 | result.parts.sign = a.parts.sign; |
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80 | |||
81 | if (isFloat64NaN(a)) { |
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82 | |||
83 | result.parts.exp = 0xFF; |
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84 | |||
85 | if (isFloat64SigNaN(a)) { |
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1031 | cejka | 86 | result.parts.fraction = 0x400000; /* set first bit of fraction nonzero */ |
697 | cejka | 87 | return result; |
88 | } |
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89 | |||
804 | cejka | 90 | result.parts.fraction = 0x1; /* fraction nonzero but its first bit is zero */ |
697 | cejka | 91 | return result; |
92 | }; |
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93 | |||
94 | if (isFloat64Infinity(a)) { |
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804 | cejka | 95 | result.parts.fraction = 0; |
697 | cejka | 96 | result.parts.exp = 0xFF; |
97 | return result; |
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98 | }; |
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99 | |||
100 | exp = (int)a.parts.exp - FLOAT64_BIAS + FLOAT32_BIAS; |
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101 | |||
102 | if (exp >= 0xFF) { |
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103 | /*FIXME: overflow*/ |
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804 | cejka | 104 | result.parts.fraction = 0; |
697 | cejka | 105 | result.parts.exp = 0xFF; |
106 | return result; |
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107 | |||
108 | } else if (exp <= 0 ) { |
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109 | |||
110 | /* underflow or denormalized */ |
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111 | |||
112 | result.parts.exp = 0; |
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113 | |||
114 | exp *= -1; |
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804 | cejka | 115 | if (exp > FLOAT32_FRACTION_SIZE ) { |
697 | cejka | 116 | /* FIXME: underflow */ |
804 | cejka | 117 | result.parts.fraction = 0; |
697 | cejka | 118 | return result; |
119 | }; |
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120 | |||
121 | /* denormalized */ |
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122 | |||
804 | cejka | 123 | frac = a.parts.fraction; |
124 | frac |= 0x10000000000000ll; /* denormalize and set hidden bit */ |
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697 | cejka | 125 | |
804 | cejka | 126 | frac >>= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE + 1); |
698 | cejka | 127 | |
697 | cejka | 128 | while (exp > 0) { |
129 | --exp; |
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804 | cejka | 130 | frac >>= 1; |
697 | cejka | 131 | }; |
804 | cejka | 132 | result.parts.fraction = frac; |
697 | cejka | 133 | |
134 | return result; |
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135 | }; |
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136 | |||
137 | result.parts.exp = exp; |
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804 | cejka | 138 | result.parts.fraction = a.parts.fraction >> (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE); |
697 | cejka | 139 | return result; |
857 | cejka | 140 | } |
697 | cejka | 141 | |
857 | cejka | 142 | |
143 | /** Helping procedure for converting float32 to uint32 |
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144 | * @param a floating point number in normalized form (no NaNs or Inf are checked ) |
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145 | * @return unsigned integer |
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146 | */ |
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1031 | cejka | 147 | static uint32_t _float32_to_uint32_helper(float32 a) |
857 | cejka | 148 | { |
1031 | cejka | 149 | uint32_t frac; |
857 | cejka | 150 | |
151 | if (a.parts.exp < FLOAT32_BIAS) { |
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152 | /*TODO: rounding*/ |
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153 | return 0; |
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154 | } |
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155 | |||
156 | frac = a.parts.fraction; |
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157 | |||
158 | frac |= FLOAT32_HIDDEN_BIT_MASK; |
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159 | /* shift fraction to left so hidden bit will be the most significant bit */ |
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160 | frac <<= 32 - FLOAT32_FRACTION_SIZE - 1; |
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161 | |||
162 | frac >>= 32 - (a.parts.exp - FLOAT32_BIAS) - 1; |
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163 | if ((a.parts.sign == 1) && (frac != 0)) { |
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164 | frac = ~frac; |
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165 | ++frac; |
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166 | } |
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167 | |||
168 | return frac; |
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169 | } |
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170 | |||
171 | /* Convert float to unsigned int32 |
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172 | * FIXME: Im not sure what to return if overflow/underflow happens |
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173 | * - now its the biggest or the smallest int |
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174 | */ |
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1031 | cejka | 175 | uint32_t float32_to_uint32(float32 a) |
857 | cejka | 176 | { |
177 | if (isFloat32NaN(a)) { |
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178 | return MAX_UINT32; |
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179 | } |
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180 | |||
181 | if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS))) { |
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182 | if (a.parts.sign) { |
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183 | return MIN_UINT32; |
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184 | } |
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185 | return MAX_UINT32; |
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186 | } |
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187 | |||
188 | return _float32_to_uint32_helper(a); |
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189 | } |
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190 | |||
191 | /* Convert float to signed int32 |
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192 | * FIXME: Im not sure what to return if overflow/underflow happens |
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193 | * - now its the biggest or the smallest int |
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194 | */ |
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1031 | cejka | 195 | int32_t float32_to_int32(float32 a) |
857 | cejka | 196 | { |
197 | if (isFloat32NaN(a)) { |
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198 | return MAX_INT32; |
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199 | } |
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200 | |||
201 | if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS))) { |
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202 | if (a.parts.sign) { |
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203 | return MIN_INT32; |
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204 | } |
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205 | return MAX_INT32; |
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206 | } |
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207 | return _float32_to_uint32_helper(a); |
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208 | } |
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209 | |||
210 | |||
865 | cejka | 211 | /** Helping procedure for converting float64 to uint64 |
212 | * @param a floating point number in normalized form (no NaNs or Inf are checked ) |
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213 | * @return unsigned integer |
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214 | */ |
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1031 | cejka | 215 | static uint64_t _float64_to_uint64_helper(float64 a) |
865 | cejka | 216 | { |
1031 | cejka | 217 | uint64_t frac; |
865 | cejka | 218 | |
219 | if (a.parts.exp < FLOAT64_BIAS) { |
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220 | /*TODO: rounding*/ |
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221 | return 0; |
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222 | } |
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223 | |||
224 | frac = a.parts.fraction; |
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225 | |||
226 | frac |= FLOAT64_HIDDEN_BIT_MASK; |
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227 | /* shift fraction to left so hidden bit will be the most significant bit */ |
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228 | frac <<= 64 - FLOAT64_FRACTION_SIZE - 1; |
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857 | cejka | 229 | |
865 | cejka | 230 | frac >>= 64 - (a.parts.exp - FLOAT64_BIAS) - 1; |
231 | if ((a.parts.sign == 1) && (frac != 0)) { |
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232 | frac = ~frac; |
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233 | ++frac; |
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234 | } |
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235 | |||
236 | return frac; |
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237 | } |
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238 | |||
239 | /* Convert float to unsigned int64 |
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240 | * FIXME: Im not sure what to return if overflow/underflow happens |
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241 | * - now its the biggest or the smallest int |
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242 | */ |
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1031 | cejka | 243 | uint64_t float64_to_uint64(float64 a) |
865 | cejka | 244 | { |
245 | if (isFloat64NaN(a)) { |
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246 | return MAX_UINT64; |
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247 | } |
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248 | |||
249 | if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS))) { |
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250 | if (a.parts.sign) { |
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251 | return MIN_UINT64; |
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252 | } |
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253 | return MAX_UINT64; |
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254 | } |
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255 | |||
256 | return _float64_to_uint64_helper(a); |
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257 | } |
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258 | |||
259 | /* Convert float to signed int64 |
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260 | * FIXME: Im not sure what to return if overflow/underflow happens |
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261 | * - now its the biggest or the smallest int |
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262 | */ |
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1031 | cejka | 263 | int64_t float64_to_int64(float64 a) |
865 | cejka | 264 | { |
265 | if (isFloat64NaN(a)) { |
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266 | return MAX_INT64; |
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267 | } |
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268 | |||
269 | if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS))) { |
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270 | if (a.parts.sign) { |
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271 | return MIN_INT64; |
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272 | } |
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273 | return MAX_INT64; |
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274 | } |
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275 | return _float64_to_uint64_helper(a); |
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276 | } |
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277 | |||
278 | |||
279 | |||
280 | |||
281 | |||
282 | /** Helping procedure for converting float32 to uint64 |
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283 | * @param a floating point number in normalized form (no NaNs or Inf are checked ) |
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284 | * @return unsigned integer |
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285 | */ |
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1031 | cejka | 286 | static uint64_t _float32_to_uint64_helper(float32 a) |
865 | cejka | 287 | { |
1031 | cejka | 288 | uint64_t frac; |
865 | cejka | 289 | |
290 | if (a.parts.exp < FLOAT32_BIAS) { |
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291 | /*TODO: rounding*/ |
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292 | return 0; |
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293 | } |
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294 | |||
295 | frac = a.parts.fraction; |
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296 | |||
297 | frac |= FLOAT32_HIDDEN_BIT_MASK; |
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298 | /* shift fraction to left so hidden bit will be the most significant bit */ |
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299 | frac <<= 64 - FLOAT32_FRACTION_SIZE - 1; |
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300 | |||
301 | frac >>= 64 - (a.parts.exp - FLOAT32_BIAS) - 1; |
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302 | if ((a.parts.sign == 1) && (frac != 0)) { |
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303 | frac = ~frac; |
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304 | ++frac; |
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305 | } |
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306 | |||
307 | return frac; |
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308 | } |
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309 | |||
310 | /* Convert float to unsigned int64 |
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311 | * FIXME: Im not sure what to return if overflow/underflow happens |
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312 | * - now its the biggest or the smallest int |
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313 | */ |
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1031 | cejka | 314 | uint64_t float32_to_uint64(float32 a) |
865 | cejka | 315 | { |
316 | if (isFloat32NaN(a)) { |
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317 | return MAX_UINT64; |
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318 | } |
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319 | |||
320 | if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS))) { |
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321 | if (a.parts.sign) { |
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322 | return MIN_UINT64; |
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323 | } |
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324 | return MAX_UINT64; |
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325 | } |
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326 | |||
327 | return _float32_to_uint64_helper(a); |
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328 | } |
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329 | |||
330 | /* Convert float to signed int64 |
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331 | * FIXME: Im not sure what to return if overflow/underflow happens |
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332 | * - now its the biggest or the smallest int |
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333 | */ |
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1031 | cejka | 334 | int64_t float32_to_int64(float32 a) |
865 | cejka | 335 | { |
336 | if (isFloat32NaN(a)) { |
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337 | return MAX_INT64; |
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338 | } |
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339 | |||
340 | if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS))) { |
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341 | if (a.parts.sign) { |
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342 | return (MIN_INT64); |
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343 | } |
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344 | return MAX_INT64; |
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345 | } |
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346 | return _float32_to_uint64_helper(a); |
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347 | } |
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348 | |||
349 | |||
350 | /* Convert float64 to unsigned int32 |
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351 | * FIXME: Im not sure what to return if overflow/underflow happens |
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352 | * - now its the biggest or the smallest int |
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353 | */ |
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1031 | cejka | 354 | uint32_t float64_to_uint32(float64 a) |
865 | cejka | 355 | { |
356 | if (isFloat64NaN(a)) { |
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357 | return MAX_UINT32; |
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358 | } |
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359 | |||
360 | if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS))) { |
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361 | if (a.parts.sign) { |
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362 | return MIN_UINT32; |
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363 | } |
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364 | return MAX_UINT32; |
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365 | } |
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366 | |||
1031 | cejka | 367 | return (uint32_t)_float64_to_uint64_helper(a); |
865 | cejka | 368 | } |
369 | |||
370 | /* Convert float64 to signed int32 |
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371 | * FIXME: Im not sure what to return if overflow/underflow happens |
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372 | * - now its the biggest or the smallest int |
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373 | */ |
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1031 | cejka | 374 | int32_t float64_to_int32(float64 a) |
865 | cejka | 375 | { |
376 | if (isFloat64NaN(a)) { |
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377 | return MAX_INT32; |
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378 | } |
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379 | |||
380 | if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS))) { |
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381 | if (a.parts.sign) { |
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382 | return MIN_INT32; |
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383 | } |
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384 | return MAX_INT32; |
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385 | } |
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1031 | cejka | 386 | return (int32_t)_float64_to_uint64_helper(a); |
865 | cejka | 387 | } |
388 | |||
874 | cejka | 389 | /** Convert unsigned integer to float32 |
390 | * |
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391 | * |
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392 | */ |
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1031 | cejka | 393 | float32 uint32_to_float32(uint32_t i) |
874 | cejka | 394 | { |
395 | int counter; |
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1031 | cejka | 396 | int32_t exp; |
874 | cejka | 397 | float32 result; |
398 | |||
399 | result.parts.sign = 0; |
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400 | result.parts.fraction = 0; |
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865 | cejka | 401 | |
874 | cejka | 402 | counter = countZeroes32(i); |
403 | |||
404 | exp = FLOAT32_BIAS + 32 - counter - 1; |
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405 | |||
406 | if (counter == 32) { |
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407 | result.binary = 0; |
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408 | return result; |
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409 | } |
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410 | |||
411 | if (counter > 0) { |
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412 | i <<= counter - 1; |
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413 | } else { |
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414 | i >>= 1; |
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415 | } |
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416 | |||
417 | roundFloat32(&exp, &i); |
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418 | |||
419 | result.parts.fraction = i >> 7; |
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420 | result.parts.exp = exp; |
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421 | |||
422 | return result; |
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423 | } |
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424 | |||
1031 | cejka | 425 | float32 int32_to_float32(int32_t i) |
874 | cejka | 426 | { |
427 | float32 result; |
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428 | |||
429 | if (i < 0) { |
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1031 | cejka | 430 | result = uint32_to_float32((uint32_t)(-i)); |
874 | cejka | 431 | } else { |
1031 | cejka | 432 | result = uint32_to_float32((uint32_t)i); |
874 | cejka | 433 | } |
434 | |||
435 | result.parts.sign = i < 0; |
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436 | |||
437 | return result; |
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438 | } |
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439 | |||
440 | |||
1031 | cejka | 441 | float32 uint64_to_float32(uint64_t i) |
874 | cejka | 442 | { |
875 | cejka | 443 | int counter; |
1031 | cejka | 444 | int32_t exp; |
1035 | cejka | 445 | uint32_t j; |
875 | cejka | 446 | float32 result; |
447 | |||
448 | result.parts.sign = 0; |
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449 | result.parts.fraction = 0; |
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450 | |||
451 | counter = countZeroes64(i); |
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452 | |||
453 | exp = FLOAT32_BIAS + 64 - counter - 1; |
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454 | |||
455 | if (counter == 64) { |
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456 | result.binary = 0; |
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457 | return result; |
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458 | } |
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459 | |||
460 | /* Shift all to the first 31 bits (31. will be hidden 1)*/ |
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461 | if (counter > 33) { |
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462 | i <<= counter - 1 - 32; |
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463 | } else { |
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464 | i >>= 1 + 32 - counter; |
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465 | } |
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1031 | cejka | 466 | |
467 | j = (uint32_t)i; |
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468 | roundFloat32(&exp, &j); |
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875 | cejka | 469 | |
1031 | cejka | 470 | result.parts.fraction = j >> 7; |
875 | cejka | 471 | result.parts.exp = exp; |
472 | return result; |
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874 | cejka | 473 | } |
474 | |||
1031 | cejka | 475 | float32 int64_to_float32(int64_t i) |
874 | cejka | 476 | { |
477 | float32 result; |
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478 | |||
479 | if (i < 0) { |
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1031 | cejka | 480 | result = uint64_to_float32((uint64_t)(-i)); |
874 | cejka | 481 | } else { |
1031 | cejka | 482 | result = uint64_to_float32((uint64_t)i); |
874 | cejka | 483 | } |
484 | |||
485 | result.parts.sign = i < 0; |
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486 | |||
487 | return result; |
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488 | } |
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876 | cejka | 489 | |
490 | /** Convert unsigned integer to float64 |
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491 | * |
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492 | * |
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493 | */ |
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1031 | cejka | 494 | float64 uint32_to_float64(uint32_t i) |
876 | cejka | 495 | { |
496 | int counter; |
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1031 | cejka | 497 | int32_t exp; |
876 | cejka | 498 | float64 result; |
1031 | cejka | 499 | uint64_t frac; |
876 | cejka | 500 | |
501 | result.parts.sign = 0; |
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502 | result.parts.fraction = 0; |
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503 | |||
504 | counter = countZeroes32(i); |
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505 | |||
506 | exp = FLOAT64_BIAS + 32 - counter - 1; |
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507 | |||
508 | if (counter == 32) { |
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509 | result.binary = 0; |
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510 | return result; |
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511 | } |
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512 | |||
513 | frac = i; |
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514 | frac <<= counter + 32 - 1; |
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515 | |||
516 | roundFloat64(&exp, &frac); |
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517 | |||
518 | result.parts.fraction = frac >> 10; |
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519 | result.parts.exp = exp; |
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520 | |||
521 | return result; |
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522 | } |
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523 | |||
1031 | cejka | 524 | float64 int32_to_float64(int32_t i) |
876 | cejka | 525 | { |
526 | float64 result; |
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527 | |||
528 | if (i < 0) { |
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1031 | cejka | 529 | result = uint32_to_float64((uint32_t)(-i)); |
876 | cejka | 530 | } else { |
1031 | cejka | 531 | result = uint32_to_float64((uint32_t)i); |
876 | cejka | 532 | } |
533 | |||
534 | result.parts.sign = i < 0; |
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535 | |||
536 | return result; |
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537 | } |
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538 | |||
539 | |||
1031 | cejka | 540 | float64 uint64_to_float64(uint64_t i) |
876 | cejka | 541 | { |
542 | int counter; |
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1031 | cejka | 543 | int32_t exp; |
876 | cejka | 544 | float64 result; |
545 | |||
546 | result.parts.sign = 0; |
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547 | result.parts.fraction = 0; |
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548 | |||
549 | counter = countZeroes64(i); |
||
550 | |||
551 | exp = FLOAT64_BIAS + 64 - counter - 1; |
||
552 | |||
553 | if (counter == 64) { |
||
554 | result.binary = 0; |
||
555 | return result; |
||
556 | } |
||
557 | |||
558 | if (counter > 0) { |
||
559 | i <<= counter - 1; |
||
560 | } else { |
||
561 | i >>= 1; |
||
562 | } |
||
563 | |||
564 | roundFloat64(&exp, &i); |
||
565 | |||
566 | result.parts.fraction = i >> 10; |
||
567 | result.parts.exp = exp; |
||
568 | return result; |
||
569 | } |
||
570 | |||
1031 | cejka | 571 | float64 int64_to_float64(int64_t i) |
876 | cejka | 572 | { |
573 | float64 result; |
||
574 | |||
575 | if (i < 0) { |
||
1031 | cejka | 576 | result = uint64_to_float64((uint64_t)(-i)); |
876 | cejka | 577 | } else { |
1031 | cejka | 578 | result = uint64_to_float64((uint64_t)i); |
876 | cejka | 579 | } |
580 | |||
581 | result.parts.sign = i < 0; |
||
582 | |||
583 | return result; |
||
584 | } |
||
585 | |||
586 |