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647 cejka 1
/*
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 * Copyright (C) 2005 Josef Cejka
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 * All rights reserved.
4
 *
5
 * Redistribution and use in source and binary forms, with or without
6
 * modification, are permitted provided that the following conditions
7
 * are met:
8
 *
9
 * - Redistributions of source code must retain the above copyright
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 *   notice, this list of conditions and the following disclaimer.
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 * - Redistributions in binary form must reproduce the above copyright
12
 *   notice, this list of conditions and the following disclaimer in the
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
15
 *   derived from this software without specific prior written permission.
16
 *
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
19
 * OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED.
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 * IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY DIRECT, INDIRECT,
21
 * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT
22
 * NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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 * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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
26
 * THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
27
 */
28
 
697 cejka 29
#include "sftypes.h"
30
#include "conversion.h"
857 cejka 31
#include "comparison.h"
697 cejka 32
 
33
float64 convertFloat32ToFloat64(float32 a)
34
{
35
    float64 result;
804 cejka 36
    __u64 frac;
697 cejka 37
 
38
    result.parts.sign = a.parts.sign;
804 cejka 39
    result.parts.fraction = a.parts.fraction;
40
    result.parts.fraction <<= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE );
697 cejka 41
 
42
    if ((isFloat32Infinity(a))||(isFloat32NaN(a))) {
43
        result.parts.exp = 0x7FF;
44
        /* TODO; check if its correct for SigNaNs*/
45
        return result;
46
    };
47
 
48
    result.parts.exp = a.parts.exp + ( (int)FLOAT64_BIAS - FLOAT32_BIAS );
49
    if (a.parts.exp == 0) {
50
        /* normalize denormalized numbers */
51
 
804 cejka 52
        if (result.parts.fraction == 0ll) { /* fix zero */
697 cejka 53
            result.parts.exp = 0ll;
54
            return result;
55
        }
56
 
804 cejka 57
        frac = result.parts.fraction;
697 cejka 58
 
804 cejka 59
        while (!(frac & (0x10000000000000ll))) {
60
            frac <<= 1;
697 cejka 61
            --result.parts.exp;
62
        };
698 cejka 63
 
64
        ++result.parts.exp;
804 cejka 65
        result.parts.fraction = frac;
697 cejka 66
    };
67
 
68
    return result;
69
 
857 cejka 70
}
697 cejka 71
 
72
float32 convertFloat64ToFloat32(float64 a)
73
{
74
    float32 result;
75
    __s32 exp;
804 cejka 76
    __u64 frac;
697 cejka 77
 
78
    result.parts.sign = a.parts.sign;
79
 
80
    if (isFloat64NaN(a)) {
81
 
82
        result.parts.exp = 0xFF;
83
 
84
        if (isFloat64SigNaN(a)) {
804 cejka 85
            result.parts.fraction = 0x800000; /* set first bit of fraction nonzero */
697 cejka 86
            return result;
87
        }
88
 
804 cejka 89
        result.parts.fraction = 0x1; /* fraction nonzero but its first bit is zero */
697 cejka 90
        return result;
91
    };
92
 
93
    if (isFloat64Infinity(a)) {
804 cejka 94
        result.parts.fraction = 0;
697 cejka 95
        result.parts.exp = 0xFF;
96
        return result;
97
    };
98
 
99
    exp = (int)a.parts.exp - FLOAT64_BIAS + FLOAT32_BIAS;
100
 
101
    if (exp >= 0xFF) {
102
        /*FIXME: overflow*/
804 cejka 103
        result.parts.fraction = 0;
697 cejka 104
        result.parts.exp = 0xFF;
105
        return result;
106
 
107
    } else if (exp <= 0 ) {
108
 
109
        /* underflow or denormalized */
110
 
111
        result.parts.exp = 0;
112
 
113
        exp *= -1; 
804 cejka 114
        if (exp > FLOAT32_FRACTION_SIZE ) {
697 cejka 115
            /* FIXME: underflow */
804 cejka 116
            result.parts.fraction = 0;
697 cejka 117
            return result;
118
        };
119
 
120
        /* denormalized */
121
 
804 cejka 122
        frac = a.parts.fraction;
123
        frac |= 0x10000000000000ll; /* denormalize and set hidden bit */
697 cejka 124
 
804 cejka 125
        frac >>= (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE + 1);
698 cejka 126
 
697 cejka 127
        while (exp > 0) {
128
            --exp;
804 cejka 129
            frac >>= 1;
697 cejka 130
        };
804 cejka 131
        result.parts.fraction = frac;
697 cejka 132
 
133
        return result;
134
    };
135
 
136
    result.parts.exp = exp;
804 cejka 137
    result.parts.fraction = a.parts.fraction >> (FLOAT64_FRACTION_SIZE - FLOAT32_FRACTION_SIZE);
697 cejka 138
    return result;
857 cejka 139
}
697 cejka 140
 
857 cejka 141
 
142
/** Helping procedure for converting float32 to uint32
143
 * @param a floating point number in normalized form (no NaNs or Inf are checked )
144
 * @return unsigned integer
145
 */
146
static __u32 _float32_to_uint32_helper(float32 a)
147
{
148
    __u32 frac;
149
 
150
    if (a.parts.exp < FLOAT32_BIAS) {
151
        /*TODO: rounding*/
152
        return 0;
153
    }
154
 
155
    frac = a.parts.fraction;
156
 
157
    frac |= FLOAT32_HIDDEN_BIT_MASK;
158
    /* shift fraction to left so hidden bit will be the most significant bit */
159
    frac <<= 32 - FLOAT32_FRACTION_SIZE - 1;
160
 
161
    frac >>= 32 - (a.parts.exp - FLOAT32_BIAS) - 1;
162
    if ((a.parts.sign == 1) && (frac != 0)) {
163
        frac = ~frac;
164
        ++frac;
165
    }
166
 
167
    return frac;
168
}
169
 
170
/* Convert float to unsigned int32
171
 * FIXME: Im not sure what to return if overflow/underflow happens
172
 *  - now its the biggest or the smallest int
173
 */
174
__u32 float32_to_uint32(float32 a)
175
{
176
    if (isFloat32NaN(a)) {
177
        return MAX_UINT32;
178
    }
179
 
180
    if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS)))  {
181
        if (a.parts.sign) {
182
            return MIN_UINT32;
183
        }
184
        return MAX_UINT32;
185
    }
186
 
187
    return _float32_to_uint32_helper(a);   
188
}
189
 
190
/* Convert float to signed int32
191
 * FIXME: Im not sure what to return if overflow/underflow happens
192
 *  - now its the biggest or the smallest int
193
 */
194
__s32 float32_to_int32(float32 a)
195
{
196
    if (isFloat32NaN(a)) {
197
        return MAX_INT32;
198
    }
199
 
200
    if (isFloat32Infinity(a) || (a.parts.exp >= (32 + FLOAT32_BIAS)))  {
201
        if (a.parts.sign) {
202
            return MIN_INT32;
203
        }
204
        return MAX_INT32;
205
    }
206
    return _float32_to_uint32_helper(a);
207
}  
208
 
209
 
865 cejka 210
/** Helping procedure for converting float64 to uint64
211
 * @param a floating point number in normalized form (no NaNs or Inf are checked )
212
 * @return unsigned integer
213
 */
214
static __u64 _float64_to_uint64_helper(float64 a)
215
{
216
    __u64 frac;
217
 
218
    if (a.parts.exp < FLOAT64_BIAS) {
219
        /*TODO: rounding*/
220
        return 0;
221
    }
222
 
223
    frac = a.parts.fraction;
224
 
225
    frac |= FLOAT64_HIDDEN_BIT_MASK;
226
    /* shift fraction to left so hidden bit will be the most significant bit */
227
    frac <<= 64 - FLOAT64_FRACTION_SIZE - 1;
857 cejka 228
 
865 cejka 229
    frac >>= 64 - (a.parts.exp - FLOAT64_BIAS) - 1;
230
    if ((a.parts.sign == 1) && (frac != 0)) {
231
        frac = ~frac;
232
        ++frac;
233
    }
234
 
235
    return frac;
236
}
237
 
238
/* Convert float to unsigned int64
239
 * FIXME: Im not sure what to return if overflow/underflow happens
240
 *  - now its the biggest or the smallest int
241
 */
242
__u64 float64_to_uint64(float64 a)
243
{
244
    if (isFloat64NaN(a)) {
245
        return MAX_UINT64;
246
    }
247
 
248
    if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS)))  {
249
        if (a.parts.sign) {
250
            return MIN_UINT64;
251
        }
252
        return MAX_UINT64;
253
    }
254
 
255
    return _float64_to_uint64_helper(a);   
256
}
257
 
258
/* Convert float to signed int64
259
 * FIXME: Im not sure what to return if overflow/underflow happens
260
 *  - now its the biggest or the smallest int
261
 */
262
__s64 float64_to_int64(float64 a)
263
{
264
    if (isFloat64NaN(a)) {
265
        return MAX_INT64;
266
    }
267
 
268
    if (isFloat64Infinity(a) || (a.parts.exp >= (64 + FLOAT64_BIAS)))  {
269
        if (a.parts.sign) {
270
            return MIN_INT64;
271
        }
272
        return MAX_INT64;
273
    }
274
    return _float64_to_uint64_helper(a);
275
}  
276
 
277
 
278
 
279
 
280
 
281
/** Helping procedure for converting float32 to uint64
282
 * @param a floating point number in normalized form (no NaNs or Inf are checked )
283
 * @return unsigned integer
284
 */
285
static __u64 _float32_to_uint64_helper(float32 a)
286
{
287
    __u64 frac;
288
 
289
    if (a.parts.exp < FLOAT32_BIAS) {
290
        /*TODO: rounding*/
291
        return 0;
292
    }
293
 
294
    frac = a.parts.fraction;
295
 
296
    frac |= FLOAT32_HIDDEN_BIT_MASK;
297
    /* shift fraction to left so hidden bit will be the most significant bit */
298
    frac <<= 64 - FLOAT32_FRACTION_SIZE - 1;
299
 
300
    frac >>= 64 - (a.parts.exp - FLOAT32_BIAS) - 1;
301
    if ((a.parts.sign == 1) && (frac != 0)) {
302
        frac = ~frac;
303
        ++frac;
304
    }
305
 
306
    return frac;
307
}
308
 
309
/* Convert float to unsigned int64
310
 * FIXME: Im not sure what to return if overflow/underflow happens
311
 *  - now its the biggest or the smallest int
312
 */
313
__u64 float32_to_uint64(float32 a)
314
{
315
    if (isFloat32NaN(a)) {
316
        return MAX_UINT64;
317
    }
318
 
319
    if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS)))  {
320
        if (a.parts.sign) {
321
            return MIN_UINT64;
322
        }
323
        return MAX_UINT64;
324
    }
325
 
326
    return _float32_to_uint64_helper(a);   
327
}
328
 
329
/* Convert float to signed int64
330
 * FIXME: Im not sure what to return if overflow/underflow happens
331
 *  - now its the biggest or the smallest int
332
 */
333
__s64 float32_to_int64(float32 a)
334
{
335
    if (isFloat32NaN(a)) {
336
        return MAX_INT64;
337
    }
338
 
339
    if (isFloat32Infinity(a) || (a.parts.exp >= (64 + FLOAT32_BIAS)))  {
340
        if (a.parts.sign) {
341
            return (MIN_INT64);
342
        }
343
        return MAX_INT64;
344
    }
345
    return _float32_to_uint64_helper(a);
346
}  
347
 
348
 
349
/* Convert float64 to unsigned int32
350
 * FIXME: Im not sure what to return if overflow/underflow happens
351
 *  - now its the biggest or the smallest int
352
 */
353
__u32 float64_to_uint32(float64 a)
354
{
355
    if (isFloat64NaN(a)) {
356
        return MAX_UINT32;
357
    }
358
 
359
    if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS)))  {
360
        if (a.parts.sign) {
361
            return MIN_UINT32;
362
        }
363
        return MAX_UINT32;
364
    }
365
 
366
    return (__u32)_float64_to_uint64_helper(a);
367
}
368
 
369
/* Convert float64 to signed int32
370
 * FIXME: Im not sure what to return if overflow/underflow happens
371
 *  - now its the biggest or the smallest int
372
 */
373
__s32 float64_to_int32(float64 a)
374
{
375
    if (isFloat64NaN(a)) {
376
        return MAX_INT32;
377
    }
378
 
379
    if (isFloat64Infinity(a) || (a.parts.exp >= (32 + FLOAT64_BIAS)))  {
380
        if (a.parts.sign) {
381
            return MIN_INT32;
382
        }
383
        return MAX_INT32;
384
    }
385
    return (__s32)_float64_to_uint64_helper(a);
386
}  
387
 
388