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1 | /* |
1 | /* |
2 | * Copyright (C) 2005 Josef Cejka |
2 | * Copyright (C) 2005 Josef Cejka |
3 | * All rights reserved. |
3 | * All rights reserved. |
4 | * |
4 | * |
5 | * Redistribution and use in source and binary forms, with or without |
5 | * Redistribution and use in source and binary forms, with or without |
6 | * modification, are permitted provided that the following conditions |
6 | * modification, are permitted provided that the following conditions |
7 | * are met: |
7 | * are met: |
8 | * |
8 | * |
9 | * - Redistributions of source code must retain the above copyright |
9 | * - Redistributions of source code must retain the above copyright |
10 | * notice, this list of conditions and the following disclaimer. |
10 | * notice, this list of conditions and the following disclaimer. |
11 | * - Redistributions in binary form must reproduce the above copyright |
11 | * - Redistributions in binary form must reproduce the above copyright |
12 | * notice, this list of conditions and the following disclaimer in the |
12 | * notice, this list of conditions and the following disclaimer in the |
13 | * documentation and/or other materials provided with the distribution. |
13 | * documentation and/or other materials provided with the distribution. |
14 | * - The name of the author may not be used to endorse or promote products |
14 | * - The name of the author may not be used to endorse or promote products |
15 | * derived from this software without specific prior written permission. |
15 | * derived from this software without specific prior written permission. |
16 | * |
16 | * |
17 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR |
17 | * THIS SOFTWARE IS PROVIDED BY THE AUTHOR ``AS IS'' AND ANY EXPRESS OR |
18 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES |
18 | * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES |
19 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. |
19 | * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. |
20 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, |
20 | * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT, |
21 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT |
21 | * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT |
22 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
22 | * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, |
23 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
23 | * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY |
24 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
24 | * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT |
25 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF |
25 | * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF |
26 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
26 | * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. |
27 | */ |
27 | */ |
28 | 28 | ||
29 | #include "sftypes.h" |
29 | #include "sftypes.h" |
30 | #include "conversion.h" |
30 | #include "conversion.h" |
31 | #include "comparison.h" |
31 | #include "comparison.h" |
32 | #include "common.h" |
32 | #include "common.h" |
33 | 33 | ||
34 | float64 convertFloat32ToFloat64(float32 a) |
34 | float64 convertFloat32ToFloat64(float32 a) |
35 | { |
35 | { |
36 | float64 result; |
36 | float64 result; |
37 | __u64 frac; |
37 | __u64 frac; |
38 | 38 | ||
39 | result.parts.sign = a.parts.sign; |
39 | result.parts.sign = a.parts.sign; |
40 | result.parts.fraction = a.parts.fraction; |
40 | result.parts.fraction = a.parts.fraction; |
41 | result.parts.fraction <<= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE ); |
41 | result.parts.fraction <<= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE ); |
42 | 42 | ||
43 | if ((isFloat32Infinity(a))||(isFloat32NaN(a))) { |
43 | if ((isFloat32Infinity(a))||(isFloat32NaN(a))) { |
44 | result.parts.exp = 0x7FF; |
44 | result.parts.exp = 0x7FF; |
45 | /* TODO; check if its correct for SigNaNs*/ |
45 | /* TODO; check if its correct for SigNaNs*/ |
46 | return result; |
46 | return result; |
47 | }; |
47 | }; |
48 | 48 | ||
49 | result.parts.exp = a.parts.exp + ( (int)FLOAT64_BIAS - FLOAT32_BIAS ); |
49 | result.parts.exp = a.parts.exp + ( (int)FLOAT64_BIAS - FLOAT32_BIAS ); |
50 | if (a.parts.exp == 0) { |
50 | if (a.parts.exp == 0) { |
51 | /* normalize denormalized numbers */ |
51 | /* normalize denormalized numbers */ |
52 | 52 | ||
53 | if (result.parts.fraction == 0ll) { /* fix zero */ |
53 | if (result.parts.fraction == 0ll) { /* fix zero */ |
54 | result.parts.exp = 0ll; |
54 | result.parts.exp = 0ll; |
55 | return result; |
55 | return result; |
56 | } |
56 | } |
57 | 57 | ||
58 | frac = result.parts.fraction; |
58 | frac = result.parts.fraction; |
59 | 59 | ||
60 | while (!(frac & (0x10000000000000ll))) { |
60 | while (!(frac & (0x10000000000000ll))) { |
61 | frac <<= 1; |
61 | frac <<= 1; |
62 | --result.parts.exp; |
62 | --result.parts.exp; |
63 | }; |
63 | }; |
64 | 64 | ||
65 | ++result.parts.exp; |
65 | ++result.parts.exp; |
66 | result.parts.fraction = frac; |
66 | result.parts.fraction = frac; |
67 | }; |
67 | }; |
68 | 68 | ||
69 | return result; |
69 | return result; |
70 | 70 | ||
71 | } |
71 | } |
72 | 72 | ||
73 | float32 convertFloat64ToFloat32(float64 a) |
73 | float32 convertFloat64ToFloat32(float64 a) |
74 | { |
74 | { |
75 | float32 result; |
75 | float32 result; |
76 | __s32 exp; |
76 | __s32 exp; |
77 | __u64 frac; |
77 | __u64 frac; |
78 | 78 | ||
79 | result.parts.sign = a.parts.sign; |
79 | result.parts.sign = a.parts.sign; |
80 | 80 | ||
81 | if (isFloat64NaN(a)) { |
81 | if (isFloat64NaN(a)) { |
82 | 82 | ||
83 | result.parts.exp = 0xFF; |
83 | result.parts.exp = 0xFF; |
84 | 84 | ||
85 | if (isFloat64SigNaN(a)) { |
85 | if (isFloat64SigNaN(a)) { |
86 | result.parts.fraction = 0x800000; /* set first bit of fraction nonzero */ |
86 | result.parts.fraction = 0x800000; /* set first bit of fraction nonzero */ |
87 | return result; |
87 | return result; |
88 | } |
88 | } |
89 | 89 | ||
90 | result.parts.fraction = 0x1; /* fraction nonzero but its first bit is zero */ |
90 | result.parts.fraction = 0x1; /* fraction nonzero but its first bit is zero */ |
91 | return result; |
91 | return result; |
92 | }; |
92 | }; |
93 | 93 | ||
94 | if (isFloat64Infinity(a)) { |
94 | if (isFloat64Infinity(a)) { |
95 | result.parts.fraction = 0; |
95 | result.parts.fraction = 0; |
96 | result.parts.exp = 0xFF; |
96 | result.parts.exp = 0xFF; |
97 | return result; |
97 | return result; |
98 | }; |
98 | }; |
99 | 99 | ||
100 | exp = (int)a.parts.exp - FLOAT64_BIAS + FLOAT32_BIAS; |
100 | exp = (int)a.parts.exp - FLOAT64_BIAS + FLOAT32_BIAS; |
101 | 101 | ||
102 | if (exp >= 0xFF) { |
102 | if (exp >= 0xFF) { |
103 | /*FIXME: overflow*/ |
103 | /*FIXME: overflow*/ |
104 | result.parts.fraction = 0; |
104 | result.parts.fraction = 0; |
105 | result.parts.exp = 0xFF; |
105 | result.parts.exp = 0xFF; |
106 | return result; |
106 | return result; |
107 | 107 | ||
108 | } else if (exp <= 0 ) { |
108 | } else if (exp <= 0 ) { |
109 | 109 | ||
110 | /* underflow or denormalized */ |
110 | /* underflow or denormalized */ |
111 | 111 | ||
112 | result.parts.exp = 0; |
112 | result.parts.exp = 0; |
113 | 113 | ||
114 | exp *= -1; |
114 | exp *= -1; |
115 | if (exp > FLOAT32_FRACTION_SIZE ) { |
115 | if (exp > FLOAT32_FRACTION_SIZE ) { |
116 | /* FIXME: underflow */ |
116 | /* FIXME: underflow */ |
117 | result.parts.fraction = 0; |
117 | result.parts.fraction = 0; |
118 | return result; |
118 | return result; |
119 | }; |
119 | }; |
120 | 120 | ||
121 | /* denormalized */ |
121 | /* denormalized */ |
122 | 122 | ||
123 | frac = a.parts.fraction; |
123 | frac = a.parts.fraction; |
124 | frac |= 0x10000000000000ll; /* denormalize and set hidden bit */ |
124 | frac |= 0x10000000000000ll; /* denormalize and set hidden bit */ |
125 | 125 | ||
126 | frac >>= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE + 1); |
126 | frac >>= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE + 1); |
127 | 127 | ||
128 | while (exp > 0) { |
128 | while (exp > 0) { |
129 | --exp; |
129 | --exp; |
130 | frac >>= 1; |
130 | frac >>= 1; |
131 | }; |
131 | }; |
132 | result.parts.fraction = frac; |
132 | result.parts.fraction = frac; |
133 | 133 | ||
134 | return result; |
134 | return result; |
135 | }; |
135 | }; |
136 | 136 | ||
137 | result.parts.exp = exp; |
137 | result.parts.exp = exp; |
138 | result.parts.fraction = a.parts.fraction >> (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE); |
138 | result.parts.fraction = a.parts.fraction >> (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE); |
139 | return result; |
139 | return result; |
140 | } |
140 | } |
141 | 141 | ||
142 | 142 | ||
143 | /** Helping procedure for converting float32 to uint32 |
143 | /** Helping procedure for converting float32 to uint32 |
144 | * @param a floating point number in normalized form (no NaNs or Inf are checked ) |
144 | * @param a floating point number in normalized form (no NaNs or Inf are checked ) |
145 | * @return unsigned integer |
145 | * @return unsigned integer |
146 | */ |
146 | */ |
147 | static __u32 _float32_to_uint32_helper(float32 a) |
147 | static __u32 _float32_to_uint32_helper(float32 a) |
148 | { |
148 | { |
149 | __u32 frac; |
149 | __u32 frac; |
150 | 150 | ||
151 | if (a.parts.exp < FLOAT32_BIAS) { |
151 | if (a.parts.exp < FLOAT32_BIAS) { |
152 | /*TODO: rounding*/ |
152 | /*TODO: rounding*/ |
153 | return 0; |
153 | return 0; |
154 | } |
154 | } |
155 | 155 | ||
156 | frac = a.parts.fraction; |
156 | frac = a.parts.fraction; |
157 | 157 | ||
158 | frac |= FLOAT32_HIDDEN_BIT_MASK; |
158 | frac |= FLOAT32_HIDDEN_BIT_MASK; |
159 | /* shift fraction to left so hidden bit will be the most significant bit */ |
159 | /* shift fraction to left so hidden bit will be the most significant bit */ |
160 | frac <<= 32 - FLOAT32_FRACTION_SIZE - 1; |
160 | frac <<= 32 - FLOAT32_FRACTION_SIZE - 1; |
161 | 161 | ||
162 | frac >>= 32 - (a.parts.exp - FLOAT32_BIAS) - 1; |
162 | frac >>= 32 - (a.parts.exp - FLOAT32_BIAS) - 1; |
163 | if ((a.parts.sign == 1) && (frac != 0)) { |
163 | if ((a.parts.sign == 1) && (frac != 0)) { |
164 | frac = ~frac; |
164 | frac = ~frac; |
165 | ++frac; |
165 | ++frac; |
166 | } |
166 | } |
167 | 167 | ||
168 | return frac; |
168 | return frac; |
169 | } |
169 | } |
170 | 170 | ||
171 | /* Convert float to unsigned int32 |
171 | /* Convert float to unsigned int32 |
172 | * FIXME: Im not sure what to return if overflow/underflow happens |
172 | * FIXME: Im not sure what to return if overflow/underflow happens |
173 | * - now its the biggest or the smallest int |
173 | * - now its the biggest or the smallest int |
174 | */ |
174 | */ |
175 | __u32 float32_to_uint32(float32 a) |
175 | __u32 float32_to_uint32(float32 a) |
176 | { |
176 | { |
177 | if (isFloat32NaN(a)) { |
177 | if (isFloat32NaN(a)) { |
178 | return MAX_UINT32; |
178 | return MAX_UINT32; |
179 | } |
179 | } |
180 | 180 | ||
181 | if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS))) { |
181 | if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS))) { |
182 | if (a.parts.sign) { |
182 | if (a.parts.sign) { |
183 | return MIN_UINT32; |
183 | return MIN_UINT32; |
184 | } |
184 | } |
185 | return MAX_UINT32; |
185 | return MAX_UINT32; |
186 | } |
186 | } |
187 | 187 | ||
188 | return _float32_to_uint32_helper(a); |
188 | return _float32_to_uint32_helper(a); |
189 | } |
189 | } |
190 | 190 | ||
191 | /* Convert float to signed int32 |
191 | /* Convert float to signed int32 |
192 | * FIXME: Im not sure what to return if overflow/underflow happens |
192 | * FIXME: Im not sure what to return if overflow/underflow happens |
193 | * - now its the biggest or the smallest int |
193 | * - now its the biggest or the smallest int |
194 | */ |
194 | */ |
195 | __s32 float32_to_int32(float32 a) |
195 | __s32 float32_to_int32(float32 a) |
196 | { |
196 | { |
197 | if (isFloat32NaN(a)) { |
197 | if (isFloat32NaN(a)) { |
198 | return MAX_INT32; |
198 | return MAX_INT32; |
199 | } |
199 | } |
200 | 200 | ||
201 | if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS))) { |
201 | if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS))) { |
202 | if (a.parts.sign) { |
202 | if (a.parts.sign) { |
203 | return MIN_INT32; |
203 | return MIN_INT32; |
204 | } |
204 | } |
205 | return MAX_INT32; |
205 | return MAX_INT32; |
206 | } |
206 | } |
207 | return _float32_to_uint32_helper(a); |
207 | return _float32_to_uint32_helper(a); |
208 | } |
208 | } |
209 | 209 | ||
210 | 210 | ||
211 | /** Helping procedure for converting float64 to uint64 |
211 | /** Helping procedure for converting float64 to uint64 |
212 | * @param a floating point number in normalized form (no NaNs or Inf are checked ) |
212 | * @param a floating point number in normalized form (no NaNs or Inf are checked ) |
213 | * @return unsigned integer |
213 | * @return unsigned integer |
214 | */ |
214 | */ |
215 | static __u64 _float64_to_uint64_helper(float64 a) |
215 | static __u64 _float64_to_uint64_helper(float64 a) |
216 | { |
216 | { |
217 | __u64 frac; |
217 | __u64 frac; |
218 | 218 | ||
219 | if (a.parts.exp < FLOAT64_BIAS) { |
219 | if (a.parts.exp < FLOAT64_BIAS) { |
220 | /*TODO: rounding*/ |
220 | /*TODO: rounding*/ |
221 | return 0; |
221 | return 0; |
222 | } |
222 | } |
223 | 223 | ||
224 | frac = a.parts.fraction; |
224 | frac = a.parts.fraction; |
225 | 225 | ||
226 | frac |= FLOAT64_HIDDEN_BIT_MASK; |
226 | frac |= FLOAT64_HIDDEN_BIT_MASK; |
227 | /* shift fraction to left so hidden bit will be the most significant bit */ |
227 | /* shift fraction to left so hidden bit will be the most significant bit */ |
228 | frac <<= 64 - FLOAT64_FRACTION_SIZE - 1; |
228 | frac <<= 64 - FLOAT64_FRACTION_SIZE - 1; |
229 | 229 | ||
230 | frac >>= 64 - (a.parts.exp - FLOAT64_BIAS) - 1; |
230 | frac >>= 64 - (a.parts.exp - FLOAT64_BIAS) - 1; |
231 | if ((a.parts.sign == 1) && (frac != 0)) { |
231 | if ((a.parts.sign == 1) && (frac != 0)) { |
232 | frac = ~frac; |
232 | frac = ~frac; |
233 | ++frac; |
233 | ++frac; |
234 | } |
234 | } |
235 | 235 | ||
236 | return frac; |
236 | return frac; |
237 | } |
237 | } |
238 | 238 | ||
239 | /* Convert float to unsigned int64 |
239 | /* Convert float to unsigned int64 |
240 | * FIXME: Im not sure what to return if overflow/underflow happens |
240 | * FIXME: Im not sure what to return if overflow/underflow happens |
241 | * - now its the biggest or the smallest int |
241 | * - now its the biggest or the smallest int |
242 | */ |
242 | */ |
243 | __u64 float64_to_uint64(float64 a) |
243 | __u64 float64_to_uint64(float64 a) |
244 | { |
244 | { |
245 | if (isFloat64NaN(a)) { |
245 | if (isFloat64NaN(a)) { |
246 | return MAX_UINT64; |
246 | return MAX_UINT64; |
247 | } |
247 | } |
248 | 248 | ||
249 | if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS))) { |
249 | if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS))) { |
250 | if (a.parts.sign) { |
250 | if (a.parts.sign) { |
251 | return MIN_UINT64; |
251 | return MIN_UINT64; |
252 | } |
252 | } |
253 | return MAX_UINT64; |
253 | return MAX_UINT64; |
254 | } |
254 | } |
255 | 255 | ||
256 | return _float64_to_uint64_helper(a); |
256 | return _float64_to_uint64_helper(a); |
257 | } |
257 | } |
258 | 258 | ||
259 | /* Convert float to signed int64 |
259 | /* Convert float to signed int64 |
260 | * FIXME: Im not sure what to return if overflow/underflow happens |
260 | * FIXME: Im not sure what to return if overflow/underflow happens |
261 | * - now its the biggest or the smallest int |
261 | * - now its the biggest or the smallest int |
262 | */ |
262 | */ |
263 | __s64 float64_to_int64(float64 a) |
263 | __s64 float64_to_int64(float64 a) |
264 | { |
264 | { |
265 | if (isFloat64NaN(a)) { |
265 | if (isFloat64NaN(a)) { |
266 | return MAX_INT64; |
266 | return MAX_INT64; |
267 | } |
267 | } |
268 | 268 | ||
269 | if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS))) { |
269 | if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS))) { |
270 | if (a.parts.sign) { |
270 | if (a.parts.sign) { |
271 | return MIN_INT64; |
271 | return MIN_INT64; |
272 | } |
272 | } |
273 | return MAX_INT64; |
273 | return MAX_INT64; |
274 | } |
274 | } |
275 | return _float64_to_uint64_helper(a); |
275 | return _float64_to_uint64_helper(a); |
276 | } |
276 | } |
277 | 277 | ||
278 | 278 | ||
279 | 279 | ||
280 | 280 | ||
281 | 281 | ||
282 | /** Helping procedure for converting float32 to uint64 |
282 | /** Helping procedure for converting float32 to uint64 |
283 | * @param a floating point number in normalized form (no NaNs or Inf are checked ) |
283 | * @param a floating point number in normalized form (no NaNs or Inf are checked ) |
284 | * @return unsigned integer |
284 | * @return unsigned integer |
285 | */ |
285 | */ |
286 | static __u64 _float32_to_uint64_helper(float32 a) |
286 | static __u64 _float32_to_uint64_helper(float32 a) |
287 | { |
287 | { |
288 | __u64 frac; |
288 | __u64 frac; |
289 | 289 | ||
290 | if (a.parts.exp < FLOAT32_BIAS) { |
290 | if (a.parts.exp < FLOAT32_BIAS) { |
291 | /*TODO: rounding*/ |
291 | /*TODO: rounding*/ |
292 | return 0; |
292 | return 0; |
293 | } |
293 | } |
294 | 294 | ||
295 | frac = a.parts.fraction; |
295 | frac = a.parts.fraction; |
296 | 296 | ||
297 | frac |= FLOAT32_HIDDEN_BIT_MASK; |
297 | frac |= FLOAT32_HIDDEN_BIT_MASK; |
298 | /* shift fraction to left so hidden bit will be the most significant bit */ |
298 | /* shift fraction to left so hidden bit will be the most significant bit */ |
299 | frac <<= 64 - FLOAT32_FRACTION_SIZE - 1; |
299 | frac <<= 64 - FLOAT32_FRACTION_SIZE - 1; |
300 | 300 | ||
301 | frac >>= 64 - (a.parts.exp - FLOAT32_BIAS) - 1; |
301 | frac >>= 64 - (a.parts.exp - FLOAT32_BIAS) - 1; |
302 | if ((a.parts.sign == 1) && (frac != 0)) { |
302 | if ((a.parts.sign == 1) && (frac != 0)) { |
303 | frac = ~frac; |
303 | frac = ~frac; |
304 | ++frac; |
304 | ++frac; |
305 | } |
305 | } |
306 | 306 | ||
307 | return frac; |
307 | return frac; |
308 | } |
308 | } |
309 | 309 | ||
310 | /* Convert float to unsigned int64 |
310 | /* Convert float to unsigned int64 |
311 | * FIXME: Im not sure what to return if overflow/underflow happens |
311 | * FIXME: Im not sure what to return if overflow/underflow happens |
312 | * - now its the biggest or the smallest int |
312 | * - now its the biggest or the smallest int |
313 | */ |
313 | */ |
314 | __u64 float32_to_uint64(float32 a) |
314 | __u64 float32_to_uint64(float32 a) |
315 | { |
315 | { |
316 | if (isFloat32NaN(a)) { |
316 | if (isFloat32NaN(a)) { |
317 | return MAX_UINT64; |
317 | return MAX_UINT64; |
318 | } |
318 | } |
319 | 319 | ||
320 | if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS))) { |
320 | if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS))) { |
321 | if (a.parts.sign) { |
321 | if (a.parts.sign) { |
322 | return MIN_UINT64; |
322 | return MIN_UINT64; |
323 | } |
323 | } |
324 | return MAX_UINT64; |
324 | return MAX_UINT64; |
325 | } |
325 | } |
326 | 326 | ||
327 | return _float32_to_uint64_helper(a); |
327 | return _float32_to_uint64_helper(a); |
328 | } |
328 | } |
329 | 329 | ||
330 | /* Convert float to signed int64 |
330 | /* Convert float to signed int64 |
331 | * FIXME: Im not sure what to return if overflow/underflow happens |
331 | * FIXME: Im not sure what to return if overflow/underflow happens |
332 | * - now its the biggest or the smallest int |
332 | * - now its the biggest or the smallest int |
333 | */ |
333 | */ |
334 | __s64 float32_to_int64(float32 a) |
334 | __s64 float32_to_int64(float32 a) |
335 | { |
335 | { |
336 | if (isFloat32NaN(a)) { |
336 | if (isFloat32NaN(a)) { |
337 | return MAX_INT64; |
337 | return MAX_INT64; |
338 | } |
338 | } |
339 | 339 | ||
340 | if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS))) { |
340 | if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS))) { |
341 | if (a.parts.sign) { |
341 | if (a.parts.sign) { |
342 | return (MIN_INT64); |
342 | return (MIN_INT64); |
343 | } |
343 | } |
344 | return MAX_INT64; |
344 | return MAX_INT64; |
345 | } |
345 | } |
346 | return _float32_to_uint64_helper(a); |
346 | return _float32_to_uint64_helper(a); |
347 | } |
347 | } |
348 | 348 | ||
349 | 349 | ||
350 | /* Convert float64 to unsigned int32 |
350 | /* Convert float64 to unsigned int32 |
351 | * FIXME: Im not sure what to return if overflow/underflow happens |
351 | * FIXME: Im not sure what to return if overflow/underflow happens |
352 | * - now its the biggest or the smallest int |
352 | * - now its the biggest or the smallest int |
353 | */ |
353 | */ |
354 | __u32 float64_to_uint32(float64 a) |
354 | __u32 float64_to_uint32(float64 a) |
355 | { |
355 | { |
356 | if (isFloat64NaN(a)) { |
356 | if (isFloat64NaN(a)) { |
357 | return MAX_UINT32; |
357 | return MAX_UINT32; |
358 | } |
358 | } |
359 | 359 | ||
360 | if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS))) { |
360 | if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS))) { |
361 | if (a.parts.sign) { |
361 | if (a.parts.sign) { |
362 | return MIN_UINT32; |
362 | return MIN_UINT32; |
363 | } |
363 | } |
364 | return MAX_UINT32; |
364 | return MAX_UINT32; |
365 | } |
365 | } |
366 | 366 | ||
367 | return (__u32)_float64_to_uint64_helper(a); |
367 | return (__u32)_float64_to_uint64_helper(a); |
368 | } |
368 | } |
369 | 369 | ||
370 | /* Convert float64 to signed int32 |
370 | /* Convert float64 to signed int32 |
371 | * FIXME: Im not sure what to return if overflow/underflow happens |
371 | * FIXME: Im not sure what to return if overflow/underflow happens |
372 | * - now its the biggest or the smallest int |
372 | * - now its the biggest or the smallest int |
373 | */ |
373 | */ |
374 | __s32 float64_to_int32(float64 a) |
374 | __s32 float64_to_int32(float64 a) |
375 | { |
375 | { |
376 | if (isFloat64NaN(a)) { |
376 | if (isFloat64NaN(a)) { |
377 | return MAX_INT32; |
377 | return MAX_INT32; |
378 | } |
378 | } |
379 | 379 | ||
380 | if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS))) { |
380 | if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS))) { |
381 | if (a.parts.sign) { |
381 | if (a.parts.sign) { |
382 | return MIN_INT32; |
382 | return MIN_INT32; |
383 | } |
383 | } |
384 | return MAX_INT32; |
384 | return MAX_INT32; |
385 | } |
385 | } |
386 | return (__s32)_float64_to_uint64_helper(a); |
386 | return (__s32)_float64_to_uint64_helper(a); |
387 | } |
387 | } |
388 | 388 | ||
389 | - | ||
390 | /** Convert unsigned integer to float32 |
389 | /** Convert unsigned integer to float32 |
391 | * |
390 | * |
392 | * |
391 | * |
393 | */ |
392 | */ |
394 | float32 uint32_to_float32(__u32 i) |
393 | float32 uint32_to_float32(__u32 i) |
395 | { |
394 | { |
396 | int counter; |
395 | int counter; |
397 | __s32 exp; |
396 | __s32 exp; |
398 | float32 result; |
397 | float32 result; |
399 | 398 | ||
400 | result.parts.sign = 0; |
399 | result.parts.sign = 0; |
401 | result.parts.fraction = 0; |
400 | result.parts.fraction = 0; |
402 | 401 | ||
403 | counter = countZeroes32(i); |
402 | counter = countZeroes32(i); |
404 | 403 | ||
405 | exp = FLOAT32_BIAS + 32 - counter - 1; |
404 | exp = FLOAT32_BIAS + 32 - counter - 1; |
406 | 405 | ||
407 | if (counter == 32) { |
406 | if (counter == 32) { |
408 | result.binary = 0; |
407 | result.binary = 0; |
409 | return result; |
408 | return result; |
410 | } |
409 | } |
411 | 410 | ||
412 | if (counter > 0) { |
411 | if (counter > 0) { |
413 | i <<= counter - 1; |
412 | i <<= counter - 1; |
414 | } else { |
413 | } else { |
415 | i >>= 1; |
414 | i >>= 1; |
416 | } |
415 | } |
417 | 416 | ||
418 | roundFloat32(&exp, &i); |
417 | roundFloat32(&exp, &i); |
419 | 418 | ||
420 | result.parts.fraction = i >> 7; |
419 | result.parts.fraction = i >> 7; |
421 | result.parts.exp = exp; |
420 | result.parts.exp = exp; |
422 | 421 | ||
423 | return result; |
422 | return result; |
424 | } |
423 | } |
425 | 424 | ||
426 | float32 int32_to_float32(__s32 i) |
425 | float32 int32_to_float32(__s32 i) |
427 | { |
426 | { |
428 | float32 result; |
427 | float32 result; |
429 | 428 | ||
430 | if (i < 0) { |
429 | if (i < 0) { |
431 | result = uint32_to_float32((__u32)(-i)); |
430 | result = uint32_to_float32((__u32)(-i)); |
432 | } else { |
431 | } else { |
433 | result = uint32_to_float32((__u32)i); |
432 | result = uint32_to_float32((__u32)i); |
434 | } |
433 | } |
435 | 434 | ||
436 | result.parts.sign = i < 0; |
435 | result.parts.sign = i < 0; |
437 | 436 | ||
438 | return result; |
437 | return result; |
439 | } |
438 | } |
440 | 439 | ||
441 | 440 | ||
442 | float32 uint64_to_float32(__u64 i) |
441 | float32 uint64_to_float32(__u64 i) |
443 | { |
442 | { |
444 | int counter; |
443 | int counter; |
445 | __s32 exp; |
444 | __s32 exp; |
446 | float32 result; |
445 | float32 result; |
447 | 446 | ||
448 | result.parts.sign = 0; |
447 | result.parts.sign = 0; |
449 | result.parts.fraction = 0; |
448 | result.parts.fraction = 0; |
450 | 449 | ||
451 | counter = countZeroes64(i); |
450 | counter = countZeroes64(i); |
452 | 451 | ||
453 | exp = FLOAT32_BIAS + 64 - counter - 1; |
452 | exp = FLOAT32_BIAS + 64 - counter - 1; |
454 | 453 | ||
455 | if (counter == 64) { |
454 | if (counter == 64) { |
456 | result.binary = 0; |
455 | result.binary = 0; |
457 | return result; |
456 | return result; |
458 | } |
457 | } |
459 | 458 | ||
460 | /* Shift all to the first 31 bits (31. will be hidden 1)*/ |
459 | /* Shift all to the first 31 bits (31. will be hidden 1)*/ |
461 | if (counter > 33) { |
460 | if (counter > 33) { |
462 | i <<= counter - 1 - 32; |
461 | i <<= counter - 1 - 32; |
463 | } else { |
462 | } else { |
464 | i >>= 1 + 32 - counter; |
463 | i >>= 1 + 32 - counter; |
465 | } |
464 | } |
466 | 465 | ||
467 | roundFloat32(&exp, &i); |
466 | roundFloat32(&exp, &i); |
468 | 467 | ||
469 | result.parts.fraction = i >> 7; |
468 | result.parts.fraction = i >> 7; |
470 | result.parts.exp = exp; |
469 | result.parts.exp = exp; |
471 | return result; |
470 | return result; |
472 | } |
471 | } |
473 | 472 | ||
474 | float32 int64_to_float32(__s64 i) |
473 | float32 int64_to_float32(__s64 i) |
475 | { |
474 | { |
476 | float32 result; |
475 | float32 result; |
477 | 476 | ||
478 | if (i < 0) { |
477 | if (i < 0) { |
479 | result = uint64_to_float32((__u64)(-i)); |
478 | result = uint64_to_float32((__u64)(-i)); |
480 | } else { |
479 | } else { |
481 | result = uint64_to_float32((__u64)i); |
480 | result = uint64_to_float32((__u64)i); |
482 | } |
481 | } |
483 | 482 | ||
484 | result.parts.sign = i < 0; |
483 | result.parts.sign = i < 0; |
485 | 484 | ||
486 | return result; |
485 | return result; |
487 | } |
486 | } |
- | 487 | ||
- | 488 | /** Convert unsigned integer to float64 |
|
- | 489 | * |
|
- | 490 | * |
|
- | 491 | */ |
|
- | 492 | float64 uint32_to_float64(__u32 i) |
|
- | 493 | { |
|
- | 494 | int counter; |
|
- | 495 | __s32 exp; |
|
- | 496 | float64 result; |
|
- | 497 | __u64 frac; |
|
- | 498 | ||
- | 499 | result.parts.sign = 0; |
|
- | 500 | result.parts.fraction = 0; |
|
- | 501 | ||
- | 502 | counter = countZeroes32(i); |
|
- | 503 | ||
- | 504 | exp = FLOAT64_BIAS + 32 - counter - 1; |
|
- | 505 | ||
- | 506 | if (counter == 32) { |
|
- | 507 | result.binary = 0; |
|
- | 508 | return result; |
|
- | 509 | } |
|
- | 510 | ||
- | 511 | frac = i; |
|
- | 512 | frac <<= counter + 32 - 1; |
|
- | 513 | ||
- | 514 | roundFloat64(&exp, &frac); |
|
- | 515 | ||
- | 516 | result.parts.fraction = frac >> 10; |
|
- | 517 | result.parts.exp = exp; |
|
- | 518 | ||
- | 519 | return result; |
|
- | 520 | } |
|
- | 521 | ||
- | 522 | float64 int32_to_float64(__s32 i) |
|
- | 523 | { |
|
- | 524 | float64 result; |
|
- | 525 | ||
- | 526 | if (i < 0) { |
|
- | 527 | result = uint32_to_float64((__u32)(-i)); |
|
- | 528 | } else { |
|
- | 529 | result = uint32_to_float64((__u32)i); |
|
- | 530 | } |
|
- | 531 | ||
- | 532 | result.parts.sign = i < 0; |
|
- | 533 | ||
- | 534 | return result; |
|
- | 535 | } |
|
- | 536 | ||
- | 537 | ||
- | 538 | float64 uint64_to_float64(__u64 i) |
|
- | 539 | { |
|
- | 540 | int counter; |
|
- | 541 | __s32 exp; |
|
- | 542 | float64 result; |
|
- | 543 | ||
- | 544 | result.parts.sign = 0; |
|
- | 545 | result.parts.fraction = 0; |
|
- | 546 | ||
- | 547 | counter = countZeroes64(i); |
|
- | 548 | ||
- | 549 | exp = FLOAT64_BIAS + 64 - counter - 1; |
|
- | 550 | ||
- | 551 | if (counter == 64) { |
|
- | 552 | result.binary = 0; |
|
- | 553 | return result; |
|
- | 554 | } |
|
- | 555 | ||
- | 556 | if (counter > 0) { |
|
- | 557 | i <<= counter - 1; |
|
- | 558 | } else { |
|
- | 559 | i >>= 1; |
|
- | 560 | } |
|
- | 561 | ||
- | 562 | roundFloat64(&exp, &i); |
|
- | 563 | ||
- | 564 | result.parts.fraction = i >> 10; |
|
- | 565 | result.parts.exp = exp; |
|
- | 566 | return result; |
|
- | 567 | } |
|
- | 568 | ||
- | 569 | float64 int64_to_float64(__s64 i) |
|
- | 570 | { |
|
- | 571 | float64 result; |
|
- | 572 | ||
- | 573 | if (i < 0) { |
|
- | 574 | result = uint64_to_float64((__u64)(-i)); |
|
- | 575 | } else { |
|
- | 576 | result = uint64_to_float64((__u64)i); |
|
- | 577 | } |
|
- | 578 | ||
- | 579 | result.parts.sign = i < 0; |
|
- | 580 | ||
- | 581 | return result; |
|
- | 582 | } |
|
- | 583 | ||
- | 584 | ||
488 | 585 |