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