softfloat-native.h revision 2c538c86c15d597cc875dc926e4e39285c5625df 
1/* Native implementation of soft float functions */
2#include <math.h>
3
4#if (defined(CONFIG_BSD) && !defined(__APPLE__) && !defined(__GLIBC__)) \
5    || defined(CONFIG_SOLARIS)
6#include <ieeefp.h>
7#define fabsf(f) ((float)fabs(f))
8#else
9#include <fenv.h>
10#endif
11
12#if defined(__OpenBSD__) || defined(__NetBSD__)
13#include <sys/param.h>
14#endif
15
16/*
17 * Define some C99-7.12.3 classification macros and
18 *        some C99-.12.4 for Solaris systems OS less than 10,
19 *        or Solaris 10 systems running GCC 3.x or less.
20 *   Solaris 10 with GCC4 does not need these macros as they
21 *   are defined in <iso/math_c99.h> with a compiler directive
22 */
23#if defined(CONFIG_SOLARIS) && \
24           ((CONFIG_SOLARIS_VERSION <= 9 ) || \
25           ((CONFIG_SOLARIS_VERSION == 10) && (__GNUC__ < 4))) \
26    || (defined(__OpenBSD__) && (OpenBSD < 200811))
27/*
28 * C99 7.12.3 classification macros
29 * and
30 * C99 7.12.14 comparison macros
31 *
32 * ... do not work on Solaris 10 using GNU CC 3.4.x.
33 * Try to workaround the missing / broken C99 math macros.
34 */
35#if defined(__OpenBSD__)
36#define unordered(x, y) (isnan(x) || isnan(y))
37#endif
38
39#ifdef __NetBSD__
40#ifndef isgreater
41#define isgreater(x, y)		__builtin_isgreater(x, y)
42#endif
43#ifndef isgreaterequal
44#define isgreaterequal(x, y)	__builtin_isgreaterequal(x, y)
45#endif
46#ifndef isless
47#define isless(x, y)		__builtin_isless(x, y)
48#endif
49#ifndef islessequal
50#define islessequal(x, y)	__builtin_islessequal(x, y)
51#endif
52#ifndef isunordered
53#define isunordered(x, y)	__builtin_isunordered(x, y)
54#endif
55#endif
56
57
58#define isnormal(x)             (fpclass(x) >= FP_NZERO)
59#define isgreater(x, y)         ((!unordered(x, y)) && ((x) > (y)))
60#define isgreaterequal(x, y)    ((!unordered(x, y)) && ((x) >= (y)))
61#define isless(x, y)            ((!unordered(x, y)) && ((x) < (y)))
62#define islessequal(x, y)       ((!unordered(x, y)) && ((x) <= (y)))
63#define isunordered(x,y)        unordered(x, y)
64#endif
65
66#if defined(__sun__) && !defined(CONFIG_NEEDS_LIBSUNMATH)
67
68#ifndef isnan
69# define isnan(x) \
70    (sizeof (x) == sizeof (long double) ? isnan_ld (x) \
71     : sizeof (x) == sizeof (double) ? isnan_d (x) \
72     : isnan_f (x))
73static inline int isnan_f  (float       x) { return x != x; }
74static inline int isnan_d  (double      x) { return x != x; }
75static inline int isnan_ld (long double x) { return x != x; }
76#endif
77
78#ifndef isinf
79# define isinf(x) \
80    (sizeof (x) == sizeof (long double) ? isinf_ld (x) \
81     : sizeof (x) == sizeof (double) ? isinf_d (x) \
82     : isinf_f (x))
83static inline int isinf_f  (float       x) { return isnan (x - x); }
84static inline int isinf_d  (double      x) { return isnan (x - x); }
85static inline int isinf_ld (long double x) { return isnan (x - x); }
86#endif
87#endif
88
89typedef float float32;
90typedef double float64;
91#ifdef FLOATX80
92typedef long double floatx80;
93#endif
94
95typedef union {
96    float32 f;
97    uint32_t i;
98} float32u;
99typedef union {
100    float64 f;
101    uint64_t i;
102} float64u;
103#ifdef FLOATX80
104typedef union {
105    floatx80 f;
106    struct {
107        uint64_t low;
108        uint16_t high;
109    } i;
110} floatx80u;
111#endif
112
113/*----------------------------------------------------------------------------
114| Software IEC/IEEE floating-point rounding mode.
115*----------------------------------------------------------------------------*/
116#if (defined(CONFIG_BSD) && !defined(__APPLE__) && !defined(__GLIBC__)) \
117    || defined(CONFIG_SOLARIS)
118#if defined(__OpenBSD__)
119#define FE_RM FP_RM
120#define FE_RP FP_RP
121#define FE_RZ FP_RZ
122#endif
123enum {
124    float_round_nearest_even = FP_RN,
125    float_round_down         = FP_RM,
126    float_round_up           = FP_RP,
127    float_round_to_zero      = FP_RZ
128};
129#elif defined(__arm__)
130enum {
131    float_round_nearest_even = 0,
132    float_round_down         = 1,
133    float_round_up           = 2,
134    float_round_to_zero      = 3
135};
136#else
137enum {
138    float_round_nearest_even = FE_TONEAREST,
139    float_round_down         = FE_DOWNWARD,
140    float_round_up           = FE_UPWARD,
141    float_round_to_zero      = FE_TOWARDZERO
142};
143#endif
144
145typedef struct float_status {
146    int float_rounding_mode;
147#ifdef FLOATX80
148    int floatx80_rounding_precision;
149#endif
150} float_status;
151
152void set_float_rounding_mode(int val STATUS_PARAM);
153#ifdef FLOATX80
154void set_floatx80_rounding_precision(int val STATUS_PARAM);
155#endif
156
157/*----------------------------------------------------------------------------
158| Software IEC/IEEE integer-to-floating-point conversion routines.
159*----------------------------------------------------------------------------*/
160float32 int32_to_float32( int STATUS_PARAM);
161float32 uint32_to_float32( unsigned int STATUS_PARAM);
162float64 int32_to_float64( int STATUS_PARAM);
163float64 uint32_to_float64( unsigned int STATUS_PARAM);
164#ifdef FLOATX80
165floatx80 int32_to_floatx80( int STATUS_PARAM);
166#endif
167#ifdef FLOAT128
168float128 int32_to_float128( int STATUS_PARAM);
169#endif
170float32 int64_to_float32( int64_t STATUS_PARAM);
171float32 uint64_to_float32( uint64_t STATUS_PARAM);
172float64 int64_to_float64( int64_t STATUS_PARAM);
173float64 uint64_to_float64( uint64_t v STATUS_PARAM);
174#ifdef FLOATX80
175floatx80 int64_to_floatx80( int64_t STATUS_PARAM);
176#endif
177#ifdef FLOAT128
178float128 int64_to_float128( int64_t STATUS_PARAM);
179#endif
180
181/*----------------------------------------------------------------------------
182| Software IEC/IEEE single-precision conversion routines.
183*----------------------------------------------------------------------------*/
184int float32_to_int32( float32  STATUS_PARAM);
185int float32_to_int32_round_to_zero( float32  STATUS_PARAM);
186unsigned int float32_to_uint32( float32 a STATUS_PARAM);
187unsigned int float32_to_uint32_round_to_zero( float32 a STATUS_PARAM);
188int64_t float32_to_int64( float32  STATUS_PARAM);
189int64_t float32_to_int64_round_to_zero( float32  STATUS_PARAM);
190float64 float32_to_float64( float32  STATUS_PARAM);
191#ifdef FLOATX80
192floatx80 float32_to_floatx80( float32  STATUS_PARAM);
193#endif
194#ifdef FLOAT128
195float128 float32_to_float128( float32  STATUS_PARAM);
196#endif
197
198/*----------------------------------------------------------------------------
199| Software IEC/IEEE single-precision operations.
200*----------------------------------------------------------------------------*/
201float32 float32_round_to_int( float32  STATUS_PARAM);
202INLINE float32 float32_add( float32 a, float32 b STATUS_PARAM)
203{
204    return a + b;
205}
206INLINE float32 float32_sub( float32 a, float32 b STATUS_PARAM)
207{
208    return a - b;
209}
210INLINE float32 float32_mul( float32 a, float32 b STATUS_PARAM)
211{
212    return a * b;
213}
214INLINE float32 float32_div( float32 a, float32 b STATUS_PARAM)
215{
216    return a / b;
217}
218float32 float32_rem( float32, float32  STATUS_PARAM);
219float32 float32_sqrt( float32  STATUS_PARAM);
220INLINE int float32_eq( float32 a, float32 b STATUS_PARAM)
221{
222    return a == b;
223}
224INLINE int float32_le( float32 a, float32 b STATUS_PARAM)
225{
226    return a <= b;
227}
228INLINE int float32_lt( float32 a, float32 b STATUS_PARAM)
229{
230    return a < b;
231}
232INLINE int float32_eq_signaling( float32 a, float32 b STATUS_PARAM)
233{
234    return a <= b && a >= b;
235}
236INLINE int float32_le_quiet( float32 a, float32 b STATUS_PARAM)
237{
238    return islessequal(a, b);
239}
240INLINE int float32_lt_quiet( float32 a, float32 b STATUS_PARAM)
241{
242    return isless(a, b);
243}
244INLINE int float32_unordered( float32 a, float32 b STATUS_PARAM)
245{
246    return isunordered(a, b);
247
248}
249int float32_compare( float32, float32 STATUS_PARAM );
250int float32_compare_quiet( float32, float32 STATUS_PARAM );
251int float32_is_signaling_nan( float32 );
252int float32_is_nan( float32 );
253
254INLINE float32 float32_abs(float32 a)
255{
256    return fabsf(a);
257}
258
259INLINE float32 float32_chs(float32 a)
260{
261    return -a;
262}
263
264INLINE float32 float32_is_infinity(float32 a)
265{
266    return fpclassify(a) == FP_INFINITE;
267}
268
269INLINE float32 float32_is_neg(float32 a)
270{
271    float32u u;
272    u.f = a;
273    return u.i >> 31;
274}
275
276INLINE float32 float32_is_zero(float32 a)
277{
278    return fpclassify(a) == FP_ZERO;
279}
280
281INLINE float32 float32_scalbn(float32 a, int n)
282{
283    return scalbnf(a, n);
284}
285
286/*----------------------------------------------------------------------------
287| Software IEC/IEEE double-precision conversion routines.
288*----------------------------------------------------------------------------*/
289int float64_to_int32( float64 STATUS_PARAM );
290int float64_to_int32_round_to_zero( float64 STATUS_PARAM );
291unsigned int float64_to_uint32( float64 STATUS_PARAM );
292unsigned int float64_to_uint32_round_to_zero( float64 STATUS_PARAM );
293int64_t float64_to_int64( float64 STATUS_PARAM );
294int64_t float64_to_int64_round_to_zero( float64 STATUS_PARAM );
295uint64_t float64_to_uint64( float64 STATUS_PARAM );
296uint64_t float64_to_uint64_round_to_zero( float64 STATUS_PARAM );
297float32 float64_to_float32( float64 STATUS_PARAM );
298#ifdef FLOATX80
299floatx80 float64_to_floatx80( float64 STATUS_PARAM );
300#endif
301#ifdef FLOAT128
302float128 float64_to_float128( float64 STATUS_PARAM );
303#endif
304
305/*----------------------------------------------------------------------------
306| Software IEC/IEEE double-precision operations.
307*----------------------------------------------------------------------------*/
308float64 float64_round_to_int( float64 STATUS_PARAM );
309float64 float64_trunc_to_int( float64 STATUS_PARAM );
310INLINE float64 float64_add( float64 a, float64 b STATUS_PARAM)
311{
312    return a + b;
313}
314INLINE float64 float64_sub( float64 a, float64 b STATUS_PARAM)
315{
316    return a - b;
317}
318INLINE float64 float64_mul( float64 a, float64 b STATUS_PARAM)
319{
320    return a * b;
321}
322INLINE float64 float64_div( float64 a, float64 b STATUS_PARAM)
323{
324    return a / b;
325}
326float64 float64_rem( float64, float64 STATUS_PARAM );
327float64 float64_sqrt( float64 STATUS_PARAM );
328INLINE int float64_eq( float64 a, float64 b STATUS_PARAM)
329{
330    return a == b;
331}
332INLINE int float64_le( float64 a, float64 b STATUS_PARAM)
333{
334    return a <= b;
335}
336INLINE int float64_lt( float64 a, float64 b STATUS_PARAM)
337{
338    return a < b;
339}
340INLINE int float64_eq_signaling( float64 a, float64 b STATUS_PARAM)
341{
342    return a <= b && a >= b;
343}
344INLINE int float64_le_quiet( float64 a, float64 b STATUS_PARAM)
345{
346    return islessequal(a, b);
347}
348INLINE int float64_lt_quiet( float64 a, float64 b STATUS_PARAM)
349{
350    return isless(a, b);
351
352}
353INLINE int float64_unordered( float64 a, float64 b STATUS_PARAM)
354{
355    return isunordered(a, b);
356
357}
358int float64_compare( float64, float64 STATUS_PARAM );
359int float64_compare_quiet( float64, float64 STATUS_PARAM );
360int float64_is_signaling_nan( float64 );
361int float64_is_nan( float64 );
362
363INLINE float64 float64_abs(float64 a)
364{
365    return fabs(a);
366}
367
368INLINE float64 float64_chs(float64 a)
369{
370    return -a;
371}
372
373INLINE float64 float64_is_infinity(float64 a)
374{
375    return fpclassify(a) == FP_INFINITE;
376}
377
378INLINE float64 float64_is_neg(float64 a)
379{
380    float64u u;
381    u.f = a;
382    return u.i >> 63;
383}
384
385INLINE float64 float64_is_zero(float64 a)
386{
387    return fpclassify(a) == FP_ZERO;
388}
389
390INLINE float64 float64_scalbn(float64 a, int n)
391{
392    return scalbn(a, n);
393}
394
395#ifdef FLOATX80
396
397/*----------------------------------------------------------------------------
398| Software IEC/IEEE extended double-precision conversion routines.
399*----------------------------------------------------------------------------*/
400int floatx80_to_int32( floatx80 STATUS_PARAM );
401int floatx80_to_int32_round_to_zero( floatx80 STATUS_PARAM );
402int64_t floatx80_to_int64( floatx80 STATUS_PARAM);
403int64_t floatx80_to_int64_round_to_zero( floatx80 STATUS_PARAM);
404float32 floatx80_to_float32( floatx80 STATUS_PARAM );
405float64 floatx80_to_float64( floatx80 STATUS_PARAM );
406#ifdef FLOAT128
407float128 floatx80_to_float128( floatx80 STATUS_PARAM );
408#endif
409
410/*----------------------------------------------------------------------------
411| Software IEC/IEEE extended double-precision operations.
412*----------------------------------------------------------------------------*/
413floatx80 floatx80_round_to_int( floatx80 STATUS_PARAM );
414INLINE floatx80 floatx80_add( floatx80 a, floatx80 b STATUS_PARAM)
415{
416    return a + b;
417}
418INLINE floatx80 floatx80_sub( floatx80 a, floatx80 b STATUS_PARAM)
419{
420    return a - b;
421}
422INLINE floatx80 floatx80_mul( floatx80 a, floatx80 b STATUS_PARAM)
423{
424    return a * b;
425}
426INLINE floatx80 floatx80_div( floatx80 a, floatx80 b STATUS_PARAM)
427{
428    return a / b;
429}
430floatx80 floatx80_rem( floatx80, floatx80 STATUS_PARAM );
431floatx80 floatx80_sqrt( floatx80 STATUS_PARAM );
432INLINE int floatx80_eq( floatx80 a, floatx80 b STATUS_PARAM)
433{
434    return a == b;
435}
436INLINE int floatx80_le( floatx80 a, floatx80 b STATUS_PARAM)
437{
438    return a <= b;
439}
440INLINE int floatx80_lt( floatx80 a, floatx80 b STATUS_PARAM)
441{
442    return a < b;
443}
444INLINE int floatx80_eq_signaling( floatx80 a, floatx80 b STATUS_PARAM)
445{
446    return a <= b && a >= b;
447}
448INLINE int floatx80_le_quiet( floatx80 a, floatx80 b STATUS_PARAM)
449{
450    return islessequal(a, b);
451}
452INLINE int floatx80_lt_quiet( floatx80 a, floatx80 b STATUS_PARAM)
453{
454    return isless(a, b);
455
456}
457INLINE int floatx80_unordered( floatx80 a, floatx80 b STATUS_PARAM)
458{
459    return isunordered(a, b);
460
461}
462int floatx80_compare( floatx80, floatx80 STATUS_PARAM );
463int floatx80_compare_quiet( floatx80, floatx80 STATUS_PARAM );
464int floatx80_is_signaling_nan( floatx80 );
465int floatx80_is_nan( floatx80 );
466
467INLINE floatx80 floatx80_abs(floatx80 a)
468{
469    return fabsl(a);
470}
471
472INLINE floatx80 floatx80_chs(floatx80 a)
473{
474    return -a;
475}
476
477INLINE floatx80 floatx80_is_infinity(floatx80 a)
478{
479    return fpclassify(a) == FP_INFINITE;
480}
481
482INLINE floatx80 floatx80_is_neg(floatx80 a)
483{
484    floatx80u u;
485    u.f = a;
486    return u.i.high >> 15;
487}
488
489INLINE floatx80 floatx80_is_zero(floatx80 a)
490{
491    return fpclassify(a) == FP_ZERO;
492}
493
494INLINE floatx80 floatx80_scalbn(floatx80 a, int n)
495{
496    return scalbnl(a, n);
497}
498
499#endif
500