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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
 /** @addtogroup softfloat 
-
 
30
 * @{
-
 
31
 */
-
 
32
/** @file
-
 
33
 */
-
 
34
 
29
#include "sftypes.h"
35
#include "sftypes.h"
30
#include "conversion.h"
36
#include "conversion.h"
31
#include "comparison.h"
37
#include "comparison.h"
32
#include "common.h"
38
#include "common.h"
33
 
39
 
34
float64 convertFloat32ToFloat64(float32 a)
40
float64 convertFloat32ToFloat64(float32 a)
35
{
41
{
36
    float64 result;
42
    float64 result;
37
    uint64_t frac;
43
    uint64_t frac;
38
   
44
   
39
    result.parts.sign = a.parts.sign;
45
    result.parts.sign = a.parts.sign;
40
    result.parts.fraction = a.parts.fraction;
46
    result.parts.fraction = a.parts.fraction;
41
    result.parts.fraction <<= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE );
47
    result.parts.fraction <<= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE );
42
   
48
   
43
    if ((isFloat32Infinity(a))||(isFloat32NaN(a))) {
49
    if ((isFloat32Infinity(a))||(isFloat32NaN(a))) {
44
        result.parts.exp = 0x7FF;
50
        result.parts.exp = 0x7FF;
45
        /* TODO; check if its correct for SigNaNs*/
51
        /* TODO; check if its correct for SigNaNs*/
46
        return result;
52
        return result;
47
    };
53
    };
48
   
54
   
49
    result.parts.exp = a.parts.exp + ( (int)FLOAT64_BIAS - FLOAT32_BIAS );
55
    result.parts.exp = a.parts.exp + ( (int)FLOAT64_BIAS - FLOAT32_BIAS );
50
    if (a.parts.exp == 0) {
56
    if (a.parts.exp == 0) {
51
        /* normalize denormalized numbers */
57
        /* normalize denormalized numbers */
52
 
58
 
53
        if (result.parts.fraction == 0ll) { /* fix zero */
59
        if (result.parts.fraction == 0ll) { /* fix zero */
54
            result.parts.exp = 0ll;
60
            result.parts.exp = 0ll;
55
            return result;
61
            return result;
56
        }
62
        }
57
           
63
           
58
        frac = result.parts.fraction;
64
        frac = result.parts.fraction;
59
       
65
       
60
        while (!(frac & (0x10000000000000ll))) {
66
        while (!(frac & (0x10000000000000ll))) {
61
            frac <<= 1;
67
            frac <<= 1;
62
            --result.parts.exp;
68
            --result.parts.exp;
63
        };
69
        };
64
       
70
       
65
        ++result.parts.exp;
71
        ++result.parts.exp;
66
        result.parts.fraction = frac;
72
        result.parts.fraction = frac;
67
    };
73
    };
68
   
74
   
69
    return result;
75
    return result;
70
   
76
   
71
}
77
}
72
 
78
 
73
float32 convertFloat64ToFloat32(float64 a)
79
float32 convertFloat64ToFloat32(float64 a)
74
{
80
{
75
    float32 result;
81
    float32 result;
76
    int32_t exp;
82
    int32_t exp;
77
    uint64_t frac;
83
    uint64_t frac;
78
   
84
   
79
    result.parts.sign = a.parts.sign;
85
    result.parts.sign = a.parts.sign;
80
   
86
   
81
    if (isFloat64NaN(a)) {
87
    if (isFloat64NaN(a)) {
82
       
88
       
83
        result.parts.exp = 0xFF;
89
        result.parts.exp = 0xFF;
84
       
90
       
85
        if (isFloat64SigNaN(a)) {
91
        if (isFloat64SigNaN(a)) {
86
            result.parts.fraction = 0x400000; /* set first bit of fraction nonzero */
92
            result.parts.fraction = 0x400000; /* set first bit of fraction nonzero */
87
            return result;
93
            return result;
88
        }
94
        }
89
   
95
   
90
        result.parts.fraction = 0x1; /* fraction nonzero but its first bit is zero */
96
        result.parts.fraction = 0x1; /* fraction nonzero but its first bit is zero */
91
        return result;
97
        return result;
92
    };
98
    };
93
 
99
 
94
    if (isFloat64Infinity(a)) {
100
    if (isFloat64Infinity(a)) {
95
        result.parts.fraction = 0;
101
        result.parts.fraction = 0;
96
        result.parts.exp = 0xFF;
102
        result.parts.exp = 0xFF;
97
        return result;
103
        return result;
98
    };
104
    };
99
 
105
 
100
    exp = (int)a.parts.exp - FLOAT64_BIAS + FLOAT32_BIAS;
106
    exp = (int)a.parts.exp - FLOAT64_BIAS + FLOAT32_BIAS;
101
   
107
   
102
    if (exp >= 0xFF) {
108
    if (exp >= 0xFF) {
103
        /*FIXME: overflow*/
109
        /*FIXME: overflow*/
104
        result.parts.fraction = 0;
110
        result.parts.fraction = 0;
105
        result.parts.exp = 0xFF;
111
        result.parts.exp = 0xFF;
106
        return result;
112
        return result;
107
       
113
       
108
    } else if (exp <= 0 ) {
114
    } else if (exp <= 0 ) {
109
       
115
       
110
        /* underflow or denormalized */
116
        /* underflow or denormalized */
111
       
117
       
112
        result.parts.exp = 0;
118
        result.parts.exp = 0;
113
       
119
       
114
        exp *= -1; 
120
        exp *= -1; 
115
        if (exp > FLOAT32_FRACTION_SIZE ) {
121
        if (exp > FLOAT32_FRACTION_SIZE ) {
116
            /* FIXME: underflow */
122
            /* FIXME: underflow */
117
            result.parts.fraction = 0;
123
            result.parts.fraction = 0;
118
            return result;
124
            return result;
119
        };
125
        };
120
       
126
       
121
        /* denormalized */
127
        /* denormalized */
122
       
128
       
123
        frac = a.parts.fraction;
129
        frac = a.parts.fraction;
124
        frac |= 0x10000000000000ll; /* denormalize and set hidden bit */
130
        frac |= 0x10000000000000ll; /* denormalize and set hidden bit */
125
       
131
       
126
        frac >>= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE + 1);
132
        frac >>= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE + 1);
127
       
133
       
128
        while (exp > 0) {
134
        while (exp > 0) {
129
            --exp;
135
            --exp;
130
            frac >>= 1;
136
            frac >>= 1;
131
        };
137
        };
132
        result.parts.fraction = frac;
138
        result.parts.fraction = frac;
133
       
139
       
134
        return result;
140
        return result;
135
    };
141
    };
136
 
142
 
137
    result.parts.exp = exp;
143
    result.parts.exp = exp;
138
    result.parts.fraction = a.parts.fraction >> (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE);
144
    result.parts.fraction = a.parts.fraction >> (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE);
139
    return result;
145
    return result;
140
}
146
}
141
 
147
 
142
 
148
 
143
/** Helping procedure for converting float32 to uint32
149
/** Helping procedure for converting float32 to uint32
144
 * @param a floating point number in normalized form (no NaNs or Inf are checked )
150
 * @param a floating point number in normalized form (no NaNs or Inf are checked )
145
 * @return unsigned integer
151
 * @return unsigned integer
146
 */
152
 */
147
static uint32_t _float32_to_uint32_helper(float32 a)
153
static uint32_t _float32_to_uint32_helper(float32 a)
148
{
154
{
149
    uint32_t frac;
155
    uint32_t frac;
150
   
156
   
151
    if (a.parts.exp < FLOAT32_BIAS) {
157
    if (a.parts.exp < FLOAT32_BIAS) {
152
        /*TODO: rounding*/
158
        /*TODO: rounding*/
153
        return 0;
159
        return 0;
154
    }
160
    }
155
   
161
   
156
    frac = a.parts.fraction;
162
    frac = a.parts.fraction;
157
   
163
   
158
    frac |= FLOAT32_HIDDEN_BIT_MASK;
164
    frac |= FLOAT32_HIDDEN_BIT_MASK;
159
    /* shift fraction to left so hidden bit will be the most significant bit */
165
    /* shift fraction to left so hidden bit will be the most significant bit */
160
    frac <<= 32 - FLOAT32_FRACTION_SIZE - 1;
166
    frac <<= 32 - FLOAT32_FRACTION_SIZE - 1;
161
 
167
 
162
    frac >>= 32 - (a.parts.exp - FLOAT32_BIAS) - 1;
168
    frac >>= 32 - (a.parts.exp - FLOAT32_BIAS) - 1;
163
    if ((a.parts.sign == 1) && (frac != 0)) {
169
    if ((a.parts.sign == 1) && (frac != 0)) {
164
        frac = ~frac;
170
        frac = ~frac;
165
        ++frac;
171
        ++frac;
166
    }
172
    }
167
   
173
   
168
    return frac;
174
    return frac;
169
}
175
}
170
 
176
 
171
/* Convert float to unsigned int32
177
/* Convert float to unsigned int32
172
 * FIXME: Im not sure what to return if overflow/underflow happens
178
 * FIXME: Im not sure what to return if overflow/underflow happens
173
 *  - now its the biggest or the smallest int
179
 *  - now its the biggest or the smallest int
174
 */
180
 */
175
uint32_t float32_to_uint32(float32 a)
181
uint32_t float32_to_uint32(float32 a)
176
{
182
{
177
    if (isFloat32NaN(a)) {
183
    if (isFloat32NaN(a)) {
178
        return MAX_UINT32;
184
        return MAX_UINT32;
179
    }
185
    }
180
   
186
   
181
    if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS)))  {
187
    if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS)))  {
182
        if (a.parts.sign) {
188
        if (a.parts.sign) {
183
            return MIN_UINT32;
189
            return MIN_UINT32;
184
        }
190
        }
185
        return MAX_UINT32;
191
        return MAX_UINT32;
186
    }
192
    }
187
   
193
   
188
    return _float32_to_uint32_helper(a);   
194
    return _float32_to_uint32_helper(a);   
189
}
195
}
190
 
196
 
191
/* Convert float to signed int32
197
/* Convert float to signed int32
192
 * FIXME: Im not sure what to return if overflow/underflow happens
198
 * FIXME: Im not sure what to return if overflow/underflow happens
193
 *  - now its the biggest or the smallest int
199
 *  - now its the biggest or the smallest int
194
 */
200
 */
195
int32_t float32_to_int32(float32 a)
201
int32_t float32_to_int32(float32 a)
196
{
202
{
197
    if (isFloat32NaN(a)) {
203
    if (isFloat32NaN(a)) {
198
        return MAX_INT32;
204
        return MAX_INT32;
199
    }
205
    }
200
   
206
   
201
    if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS)))  {
207
    if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS)))  {
202
        if (a.parts.sign) {
208
        if (a.parts.sign) {
203
            return MIN_INT32;
209
            return MIN_INT32;
204
        }
210
        }
205
        return MAX_INT32;
211
        return MAX_INT32;
206
    }
212
    }
207
    return _float32_to_uint32_helper(a);
213
    return _float32_to_uint32_helper(a);
208
}  
214
}  
209
 
215
 
210
 
216
 
211
/** Helping procedure for converting float64 to uint64
217
/** Helping procedure for converting float64 to uint64
212
 * @param a floating point number in normalized form (no NaNs or Inf are checked )
218
 * @param a floating point number in normalized form (no NaNs or Inf are checked )
213
 * @return unsigned integer
219
 * @return unsigned integer
214
 */
220
 */
215
static uint64_t _float64_to_uint64_helper(float64 a)
221
static uint64_t _float64_to_uint64_helper(float64 a)
216
{
222
{
217
    uint64_t frac;
223
    uint64_t frac;
218
   
224
   
219
    if (a.parts.exp < FLOAT64_BIAS) {
225
    if (a.parts.exp < FLOAT64_BIAS) {
220
        /*TODO: rounding*/
226
        /*TODO: rounding*/
221
        return 0;
227
        return 0;
222
    }
228
    }
223
   
229
   
224
    frac = a.parts.fraction;
230
    frac = a.parts.fraction;
225
   
231
   
226
    frac |= FLOAT64_HIDDEN_BIT_MASK;
232
    frac |= FLOAT64_HIDDEN_BIT_MASK;
227
    /* shift fraction to left so hidden bit will be the most significant bit */
233
    /* shift fraction to left so hidden bit will be the most significant bit */
228
    frac <<= 64 - FLOAT64_FRACTION_SIZE - 1;
234
    frac <<= 64 - FLOAT64_FRACTION_SIZE - 1;
229
 
235
 
230
    frac >>= 64 - (a.parts.exp - FLOAT64_BIAS) - 1;
236
    frac >>= 64 - (a.parts.exp - FLOAT64_BIAS) - 1;
231
    if ((a.parts.sign == 1) && (frac != 0)) {
237
    if ((a.parts.sign == 1) && (frac != 0)) {
232
        frac = ~frac;
238
        frac = ~frac;
233
        ++frac;
239
        ++frac;
234
    }
240
    }
235
   
241
   
236
    return frac;
242
    return frac;
237
}
243
}
238
 
244
 
239
/* Convert float to unsigned int64
245
/* Convert float to unsigned int64
240
 * FIXME: Im not sure what to return if overflow/underflow happens
246
 * FIXME: Im not sure what to return if overflow/underflow happens
241
 *  - now its the biggest or the smallest int
247
 *  - now its the biggest or the smallest int
242
 */
248
 */
243
uint64_t float64_to_uint64(float64 a)
249
uint64_t float64_to_uint64(float64 a)
244
{
250
{
245
    if (isFloat64NaN(a)) {
251
    if (isFloat64NaN(a)) {
246
        return MAX_UINT64;
252
        return MAX_UINT64;
247
    }
253
    }
248
   
254
   
249
    if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS)))  {
255
    if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS)))  {
250
        if (a.parts.sign) {
256
        if (a.parts.sign) {
251
            return MIN_UINT64;
257
            return MIN_UINT64;
252
        }
258
        }
253
        return MAX_UINT64;
259
        return MAX_UINT64;
254
    }
260
    }
255
   
261
   
256
    return _float64_to_uint64_helper(a);   
262
    return _float64_to_uint64_helper(a);   
257
}
263
}
258
 
264
 
259
/* Convert float to signed int64
265
/* Convert float to signed int64
260
 * FIXME: Im not sure what to return if overflow/underflow happens
266
 * FIXME: Im not sure what to return if overflow/underflow happens
261
 *  - now its the biggest or the smallest int
267
 *  - now its the biggest or the smallest int
262
 */
268
 */
263
int64_t float64_to_int64(float64 a)
269
int64_t float64_to_int64(float64 a)
264
{
270
{
265
    if (isFloat64NaN(a)) {
271
    if (isFloat64NaN(a)) {
266
        return MAX_INT64;
272
        return MAX_INT64;
267
    }
273
    }
268
   
274
   
269
    if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS)))  {
275
    if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS)))  {
270
        if (a.parts.sign) {
276
        if (a.parts.sign) {
271
            return MIN_INT64;
277
            return MIN_INT64;
272
        }
278
        }
273
        return MAX_INT64;
279
        return MAX_INT64;
274
    }
280
    }
275
    return _float64_to_uint64_helper(a);
281
    return _float64_to_uint64_helper(a);
276
}  
282
}  
277
 
283
 
278
 
284
 
279
 
285
 
280
 
286
 
281
 
287
 
282
/** Helping procedure for converting float32 to uint64
288
/** Helping procedure for converting float32 to uint64
283
 * @param a floating point number in normalized form (no NaNs or Inf are checked )
289
 * @param a floating point number in normalized form (no NaNs or Inf are checked )
284
 * @return unsigned integer
290
 * @return unsigned integer
285
 */
291
 */
286
static uint64_t _float32_to_uint64_helper(float32 a)
292
static uint64_t _float32_to_uint64_helper(float32 a)
287
{
293
{
288
    uint64_t frac;
294
    uint64_t frac;
289
   
295
   
290
    if (a.parts.exp < FLOAT32_BIAS) {
296
    if (a.parts.exp < FLOAT32_BIAS) {
291
        /*TODO: rounding*/
297
        /*TODO: rounding*/
292
        return 0;
298
        return 0;
293
    }
299
    }
294
   
300
   
295
    frac = a.parts.fraction;
301
    frac = a.parts.fraction;
296
   
302
   
297
    frac |= FLOAT32_HIDDEN_BIT_MASK;
303
    frac |= FLOAT32_HIDDEN_BIT_MASK;
298
    /* shift fraction to left so hidden bit will be the most significant bit */
304
    /* shift fraction to left so hidden bit will be the most significant bit */
299
    frac <<= 64 - FLOAT32_FRACTION_SIZE - 1;
305
    frac <<= 64 - FLOAT32_FRACTION_SIZE - 1;
300
 
306
 
301
    frac >>= 64 - (a.parts.exp - FLOAT32_BIAS) - 1;
307
    frac >>= 64 - (a.parts.exp - FLOAT32_BIAS) - 1;
302
    if ((a.parts.sign == 1) && (frac != 0)) {
308
    if ((a.parts.sign == 1) && (frac != 0)) {
303
        frac = ~frac;
309
        frac = ~frac;
304
        ++frac;
310
        ++frac;
305
    }
311
    }
306
   
312
   
307
    return frac;
313
    return frac;
308
}
314
}
309
 
315
 
310
/* Convert float to unsigned int64
316
/* Convert float to unsigned int64
311
 * FIXME: Im not sure what to return if overflow/underflow happens
317
 * FIXME: Im not sure what to return if overflow/underflow happens
312
 *  - now its the biggest or the smallest int
318
 *  - now its the biggest or the smallest int
313
 */
319
 */
314
uint64_t float32_to_uint64(float32 a)
320
uint64_t float32_to_uint64(float32 a)
315
{
321
{
316
    if (isFloat32NaN(a)) {
322
    if (isFloat32NaN(a)) {
317
        return MAX_UINT64;
323
        return MAX_UINT64;
318
    }
324
    }
319
   
325
   
320
    if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS)))  {
326
    if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS)))  {
321
        if (a.parts.sign) {
327
        if (a.parts.sign) {
322
            return MIN_UINT64;
328
            return MIN_UINT64;
323
        }
329
        }
324
        return MAX_UINT64;
330
        return MAX_UINT64;
325
    }
331
    }
326
   
332
   
327
    return _float32_to_uint64_helper(a);   
333
    return _float32_to_uint64_helper(a);   
328
}
334
}
329
 
335
 
330
/* Convert float to signed int64
336
/* Convert float to signed int64
331
 * FIXME: Im not sure what to return if overflow/underflow happens
337
 * FIXME: Im not sure what to return if overflow/underflow happens
332
 *  - now its the biggest or the smallest int
338
 *  - now its the biggest or the smallest int
333
 */
339
 */
334
int64_t float32_to_int64(float32 a)
340
int64_t float32_to_int64(float32 a)
335
{
341
{
336
    if (isFloat32NaN(a)) {
342
    if (isFloat32NaN(a)) {
337
        return MAX_INT64;
343
        return MAX_INT64;
338
    }
344
    }
339
   
345
   
340
    if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS)))  {
346
    if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS)))  {
341
        if (a.parts.sign) {
347
        if (a.parts.sign) {
342
            return (MIN_INT64);
348
            return (MIN_INT64);
343
        }
349
        }
344
        return MAX_INT64;
350
        return MAX_INT64;
345
    }
351
    }
346
    return _float32_to_uint64_helper(a);
352
    return _float32_to_uint64_helper(a);
347
}  
353
}  
348
 
354
 
349
 
355
 
350
/* Convert float64 to unsigned int32
356
/* Convert float64 to unsigned int32
351
 * FIXME: Im not sure what to return if overflow/underflow happens
357
 * FIXME: Im not sure what to return if overflow/underflow happens
352
 *  - now its the biggest or the smallest int
358
 *  - now its the biggest or the smallest int
353
 */
359
 */
354
uint32_t float64_to_uint32(float64 a)
360
uint32_t float64_to_uint32(float64 a)
355
{
361
{
356
    if (isFloat64NaN(a)) {
362
    if (isFloat64NaN(a)) {
357
        return MAX_UINT32;
363
        return MAX_UINT32;
358
    }
364
    }
359
   
365
   
360
    if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS)))  {
366
    if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS)))  {
361
        if (a.parts.sign) {
367
        if (a.parts.sign) {
362
            return MIN_UINT32;
368
            return MIN_UINT32;
363
        }
369
        }
364
        return MAX_UINT32;
370
        return MAX_UINT32;
365
    }
371
    }
366
   
372
   
367
    return (uint32_t)_float64_to_uint64_helper(a); 
373
    return (uint32_t)_float64_to_uint64_helper(a); 
368
}
374
}
369
 
375
 
370
/* Convert float64 to signed int32
376
/* Convert float64 to signed int32
371
 * FIXME: Im not sure what to return if overflow/underflow happens
377
 * FIXME: Im not sure what to return if overflow/underflow happens
372
 *  - now its the biggest or the smallest int
378
 *  - now its the biggest or the smallest int
373
 */
379
 */
374
int32_t float64_to_int32(float64 a)
380
int32_t float64_to_int32(float64 a)
375
{
381
{
376
    if (isFloat64NaN(a)) {
382
    if (isFloat64NaN(a)) {
377
        return MAX_INT32;
383
        return MAX_INT32;
378
    }
384
    }
379
   
385
   
380
    if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS)))  {
386
    if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS)))  {
381
        if (a.parts.sign) {
387
        if (a.parts.sign) {
382
            return MIN_INT32;
388
            return MIN_INT32;
383
        }
389
        }
384
        return MAX_INT32;
390
        return MAX_INT32;
385
    }
391
    }
386
    return (int32_t)_float64_to_uint64_helper(a);
392
    return (int32_t)_float64_to_uint64_helper(a);
387
}  
393
}  
388
 
394
 
389
/** Convert unsigned integer to float32
395
/** Convert unsigned integer to float32
390
 *
396
 *
391
 *
397
 *
392
 */
398
 */
393
float32 uint32_to_float32(uint32_t i)
399
float32 uint32_to_float32(uint32_t i)
394
{
400
{
395
    int counter;
401
    int counter;
396
    int32_t exp;
402
    int32_t exp;
397
    float32 result;
403
    float32 result;
398
   
404
   
399
    result.parts.sign = 0;
405
    result.parts.sign = 0;
400
    result.parts.fraction = 0;
406
    result.parts.fraction = 0;
401
 
407
 
402
    counter = countZeroes32(i);
408
    counter = countZeroes32(i);
403
 
409
 
404
    exp = FLOAT32_BIAS + 32 - counter - 1;
410
    exp = FLOAT32_BIAS + 32 - counter - 1;
405
   
411
   
406
    if (counter == 32) {
412
    if (counter == 32) {
407
        result.binary = 0;
413
        result.binary = 0;
408
        return result;
414
        return result;
409
    }
415
    }
410
   
416
   
411
    if (counter > 0) {
417
    if (counter > 0) {
412
        i <<= counter - 1;
418
        i <<= counter - 1;
413
    } else {
419
    } else {
414
        i >>= 1;
420
        i >>= 1;
415
    }
421
    }
416
 
422
 
417
    roundFloat32(&exp, &i);
423
    roundFloat32(&exp, &i);
418
 
424
 
419
    result.parts.fraction = i >> 7;
425
    result.parts.fraction = i >> 7;
420
    result.parts.exp = exp;
426
    result.parts.exp = exp;
421
 
427
 
422
    return result;
428
    return result;
423
}
429
}
424
 
430
 
425
float32 int32_to_float32(int32_t i)
431
float32 int32_to_float32(int32_t i)
426
{
432
{
427
    float32 result;
433
    float32 result;
428
 
434
 
429
    if (i < 0) {
435
    if (i < 0) {
430
        result = uint32_to_float32((uint32_t)(-i));
436
        result = uint32_to_float32((uint32_t)(-i));
431
    } else {
437
    } else {
432
        result = uint32_to_float32((uint32_t)i);
438
        result = uint32_to_float32((uint32_t)i);
433
    }
439
    }
434
   
440
   
435
    result.parts.sign = i < 0;
441
    result.parts.sign = i < 0;
436
 
442
 
437
    return result;
443
    return result;
438
}
444
}
439
 
445
 
440
 
446
 
441
float32 uint64_to_float32(uint64_t i)
447
float32 uint64_to_float32(uint64_t i)
442
{
448
{
443
    int counter;
449
    int counter;
444
    int32_t exp;
450
    int32_t exp;
445
    uint32_t j;
451
    uint32_t j;
446
    float32 result;
452
    float32 result;
447
   
453
   
448
    result.parts.sign = 0;
454
    result.parts.sign = 0;
449
    result.parts.fraction = 0;
455
    result.parts.fraction = 0;
450
 
456
 
451
    counter = countZeroes64(i);
457
    counter = countZeroes64(i);
452
 
458
 
453
    exp = FLOAT32_BIAS + 64 - counter - 1;
459
    exp = FLOAT32_BIAS + 64 - counter - 1;
454
   
460
   
455
    if (counter == 64) {
461
    if (counter == 64) {
456
        result.binary = 0;
462
        result.binary = 0;
457
        return result;
463
        return result;
458
    }
464
    }
459
   
465
   
460
    /* Shift all to the first 31 bits (31. will be hidden 1)*/
466
    /* Shift all to the first 31 bits (31. will be hidden 1)*/
461
    if (counter > 33) {
467
    if (counter > 33) {
462
        i <<= counter - 1 - 32;
468
        i <<= counter - 1 - 32;
463
    } else {
469
    } else {
464
        i >>= 1 + 32 - counter;
470
        i >>= 1 + 32 - counter;
465
    }
471
    }
466
   
472
   
467
    j = (uint32_t)i;
473
    j = (uint32_t)i;
468
    roundFloat32(&exp, &j);
474
    roundFloat32(&exp, &j);
469
 
475
 
470
    result.parts.fraction = j >> 7;
476
    result.parts.fraction = j >> 7;
471
    result.parts.exp = exp;
477
    result.parts.exp = exp;
472
    return result;
478
    return result;
473
}
479
}
474
 
480
 
475
float32 int64_to_float32(int64_t i)
481
float32 int64_to_float32(int64_t i)
476
{
482
{
477
    float32 result;
483
    float32 result;
478
 
484
 
479
    if (i < 0) {
485
    if (i < 0) {
480
        result = uint64_to_float32((uint64_t)(-i));
486
        result = uint64_to_float32((uint64_t)(-i));
481
    } else {
487
    } else {
482
        result = uint64_to_float32((uint64_t)i);
488
        result = uint64_to_float32((uint64_t)i);
483
    }
489
    }
484
   
490
   
485
    result.parts.sign = i < 0;
491
    result.parts.sign = i < 0;
486
 
492
 
487
    return result;
493
    return result;
488
}
494
}
489
 
495
 
490
/** Convert unsigned integer to float64
496
/** Convert unsigned integer to float64
491
 *
497
 *
492
 *
498
 *
493
 */
499
 */
494
float64 uint32_to_float64(uint32_t i)
500
float64 uint32_to_float64(uint32_t i)
495
{
501
{
496
    int counter;
502
    int counter;
497
    int32_t exp;
503
    int32_t exp;
498
    float64 result;
504
    float64 result;
499
    uint64_t frac;
505
    uint64_t frac;
500
   
506
   
501
    result.parts.sign = 0;
507
    result.parts.sign = 0;
502
    result.parts.fraction = 0;
508
    result.parts.fraction = 0;
503
 
509
 
504
    counter = countZeroes32(i);
510
    counter = countZeroes32(i);
505
 
511
 
506
    exp = FLOAT64_BIAS + 32 - counter - 1;
512
    exp = FLOAT64_BIAS + 32 - counter - 1;
507
   
513
   
508
    if (counter == 32) {
514
    if (counter == 32) {
509
        result.binary = 0;
515
        result.binary = 0;
510
        return result;
516
        return result;
511
    }
517
    }
512
   
518
   
513
    frac = i;
519
    frac = i;
514
    frac <<= counter + 32 - 1;
520
    frac <<= counter + 32 - 1;
515
 
521
 
516
    roundFloat64(&exp, &frac);
522
    roundFloat64(&exp, &frac);
517
 
523
 
518
    result.parts.fraction = frac >> 10;
524
    result.parts.fraction = frac >> 10;
519
    result.parts.exp = exp;
525
    result.parts.exp = exp;
520
 
526
 
521
    return result;
527
    return result;
522
}
528
}
523
 
529
 
524
float64 int32_to_float64(int32_t i)
530
float64 int32_to_float64(int32_t i)
525
{
531
{
526
    float64 result;
532
    float64 result;
527
 
533
 
528
    if (i < 0) {
534
    if (i < 0) {
529
        result = uint32_to_float64((uint32_t)(-i));
535
        result = uint32_to_float64((uint32_t)(-i));
530
    } else {
536
    } else {
531
        result = uint32_to_float64((uint32_t)i);
537
        result = uint32_to_float64((uint32_t)i);
532
    }
538
    }
533
   
539
   
534
    result.parts.sign = i < 0;
540
    result.parts.sign = i < 0;
535
 
541
 
536
    return result;
542
    return result;
537
}
543
}
538
 
544
 
539
 
545
 
540
float64 uint64_to_float64(uint64_t i)
546
float64 uint64_to_float64(uint64_t i)
541
{
547
{
542
    int counter;
548
    int counter;
543
    int32_t exp;
549
    int32_t exp;
544
    float64 result;
550
    float64 result;
545
   
551
   
546
    result.parts.sign = 0;
552
    result.parts.sign = 0;
547
    result.parts.fraction = 0;
553
    result.parts.fraction = 0;
548
 
554
 
549
    counter = countZeroes64(i);
555
    counter = countZeroes64(i);
550
 
556
 
551
    exp = FLOAT64_BIAS + 64 - counter - 1;
557
    exp = FLOAT64_BIAS + 64 - counter - 1;
552
   
558
   
553
    if (counter == 64) {
559
    if (counter == 64) {
554
        result.binary = 0;
560
        result.binary = 0;
555
        return result;
561
        return result;
556
    }
562
    }
557
   
563
   
558
    if (counter > 0) {
564
    if (counter > 0) {
559
        i <<= counter - 1;
565
        i <<= counter - 1;
560
    } else {
566
    } else {
561
        i >>= 1;
567
        i >>= 1;
562
    }
568
    }
563
 
569
 
564
    roundFloat64(&exp, &i);
570
    roundFloat64(&exp, &i);
565
 
571
 
566
    result.parts.fraction = i >> 10;
572
    result.parts.fraction = i >> 10;
567
    result.parts.exp = exp;
573
    result.parts.exp = exp;
568
    return result;
574
    return result;
569
}
575
}
570
 
576
 
571
float64 int64_to_float64(int64_t i)
577
float64 int64_to_float64(int64_t i)
572
{
578
{
573
    float64 result;
579
    float64 result;
574
 
580
 
575
    if (i < 0) {
581
    if (i < 0) {
576
        result = uint64_to_float64((uint64_t)(-i));
582
        result = uint64_to_float64((uint64_t)(-i));
577
    } else {
583
    } else {
578
        result = uint64_to_float64((uint64_t)i);
584
        result = uint64_to_float64((uint64_t)i);
579
    }
585
    }
580
   
586
   
581
    result.parts.sign = i < 0;
587
    result.parts.sign = i < 0;
582
 
588
 
583
    return result;
589
    return result;
584
}
590
}
585
 
591
 
586
 
592
 
-
 
593
 
-
 
594
 /** @}
-
 
595
 */
-
 
596
 
587
 
597