xref: /relibc/openlibm/src/math_private.h (revision 28fb939b0de8e3c8a7fd6064a7277410b84b292f)
1 /*
2  * ====================================================
3  * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
4  *
5  * Developed at SunPro, a Sun Microsystems, Inc. business.
6  * Permission to use, copy, modify, and distribute this
7  * software is freely granted, provided that this notice
8  * is preserved.
9  * ====================================================
10  */
11 
12 /*
13  * from: @(#)fdlibm.h 5.1 93/09/24
14  * $FreeBSD: src/lib/msun/src/math_private.h,v 1.34 2011/10/21 06:27:56 das Exp $
15  */
16 
17 #ifndef _MATH_PRIVATE_H_
18 #define	_MATH_PRIVATE_H_
19 
20 #include <openlibm_complex.h>
21 
22 #include "cdefs-compat.h"
23 #include "types-compat.h"
24 #include "fpmath.h"
25 #include <stdint.h>
26 #include "math_private_openbsd.h"
27 
28 /*
29  * The original fdlibm code used statements like:
30  *	n0 = ((*(int*)&one)>>29)^1;		* index of high word *
31  *	ix0 = *(n0+(int*)&x);			* high word of x *
32  *	ix1 = *((1-n0)+(int*)&x);		* low word of x *
33  * to dig two 32 bit words out of the 64 bit IEEE floating point
34  * value.  That is non-ANSI, and, moreover, the gcc instruction
35  * scheduler gets it wrong.  We instead use the following macros.
36  * Unlike the original code, we determine the endianness at compile
37  * time, not at run time; I don't see much benefit to selecting
38  * endianness at run time.
39  */
40 
41 /*
42  * A union which permits us to convert between a double and two 32 bit
43  * ints.
44  */
45 
46 #if __FLOAT_WORD_ORDER__ == __ORDER_BIG_ENDIAN__
47 
48 typedef union
49 {
50   double value;
51   struct
52   {
53     u_int32_t msw;
54     u_int32_t lsw;
55   } parts;
56   struct
57   {
58     u_int64_t w;
59   } xparts;
60 } ieee_double_shape_type;
61 
62 #endif
63 
64 #if __FLOAT_WORD_ORDER__ == __ORDER_LITTLE_ENDIAN__
65 
66 typedef union
67 {
68   double value;
69   struct
70   {
71     u_int32_t lsw;
72     u_int32_t msw;
73   } parts;
74   struct
75   {
76     u_int64_t w;
77   } xparts;
78 } ieee_double_shape_type;
79 
80 #endif
81 
82 /* Get two 32 bit ints from a double.  */
83 
84 #define EXTRACT_WORDS(ix0,ix1,d)				\
85 do {								\
86   ieee_double_shape_type ew_u;					\
87   ew_u.value = (d);						\
88   (ix0) = ew_u.parts.msw;					\
89   (ix1) = ew_u.parts.lsw;					\
90 } while (0)
91 
92 /* Get a 64-bit int from a double. */
93 #define EXTRACT_WORD64(ix,d)					\
94 do {								\
95   ieee_double_shape_type ew_u;					\
96   ew_u.value = (d);						\
97   (ix) = ew_u.xparts.w;						\
98 } while (0)
99 
100 /* Get the more significant 32 bit int from a double.  */
101 
102 #define GET_HIGH_WORD(i,d)					\
103 do {								\
104   ieee_double_shape_type gh_u;					\
105   gh_u.value = (d);						\
106   (i) = gh_u.parts.msw;						\
107 } while (0)
108 
109 /* Get the less significant 32 bit int from a double.  */
110 
111 #define GET_LOW_WORD(i,d)					\
112 do {								\
113   ieee_double_shape_type gl_u;					\
114   gl_u.value = (d);						\
115   (i) = gl_u.parts.lsw;						\
116 } while (0)
117 
118 /* Set a double from two 32 bit ints.  */
119 
120 #define INSERT_WORDS(d,ix0,ix1)					\
121 do {								\
122   ieee_double_shape_type iw_u;					\
123   iw_u.parts.msw = (ix0);					\
124   iw_u.parts.lsw = (ix1);					\
125   (d) = iw_u.value;						\
126 } while (0)
127 
128 /* Set a double from a 64-bit int. */
129 #define INSERT_WORD64(d,ix)					\
130 do {								\
131   ieee_double_shape_type iw_u;					\
132   iw_u.xparts.w = (ix);						\
133   (d) = iw_u.value;						\
134 } while (0)
135 
136 /* Set the more significant 32 bits of a double from an int.  */
137 
138 #define SET_HIGH_WORD(d,v)					\
139 do {								\
140   ieee_double_shape_type sh_u;					\
141   sh_u.value = (d);						\
142   sh_u.parts.msw = (v);						\
143   (d) = sh_u.value;						\
144 } while (0)
145 
146 /* Set the less significant 32 bits of a double from an int.  */
147 
148 #define SET_LOW_WORD(d,v)					\
149 do {								\
150   ieee_double_shape_type sl_u;					\
151   sl_u.value = (d);						\
152   sl_u.parts.lsw = (v);						\
153   (d) = sl_u.value;						\
154 } while (0)
155 
156 /*
157  * A union which permits us to convert between a float and a 32 bit
158  * int.
159  */
160 
161 typedef union
162 {
163   float value;
164   /* FIXME: Assumes 32 bit int.  */
165   unsigned int word;
166 } ieee_float_shape_type;
167 
168 /* Get a 32 bit int from a float.  */
169 
170 #define GET_FLOAT_WORD(i,d)					\
171 do {								\
172   ieee_float_shape_type gf_u;					\
173   gf_u.value = (d);						\
174   (i) = gf_u.word;						\
175 } while (0)
176 
177 /* Set a float from a 32 bit int.  */
178 
179 #define SET_FLOAT_WORD(d,i)					\
180 do {								\
181   ieee_float_shape_type sf_u;					\
182   sf_u.word = (i);						\
183   (d) = sf_u.value;						\
184 } while (0)
185 
186 /* Get expsign as a 16 bit int from a long double.  */
187 
188 #define	GET_LDBL_EXPSIGN(i,d)					\
189 do {								\
190   union IEEEl2bits ge_u;					\
191   ge_u.e = (d);							\
192   (i) = ge_u.xbits.expsign;					\
193 } while (0)
194 
195 /* Set expsign of a long double from a 16 bit int.  */
196 
197 #define	SET_LDBL_EXPSIGN(d,v)					\
198 do {								\
199   union IEEEl2bits se_u;					\
200   se_u.e = (d);							\
201   se_u.xbits.expsign = (v);					\
202   (d) = se_u.e;							\
203 } while (0)
204 
205 
206 //VBS
207 #define	STRICT_ASSIGN(type, lval, rval)	((lval) = (rval))
208 
209 /* VBS
210 #ifdef FLT_EVAL_METHOD
211 // Attempt to get strict C99 semantics for assignment with non-C99 compilers.
212 #if FLT_EVAL_METHOD == 0 || __GNUC__ == 0
213 #define	STRICT_ASSIGN(type, lval, rval)	((lval) = (rval))
214 #else
215 #define	STRICT_ASSIGN(type, lval, rval) do {	\
216 	volatile type __lval;			\
217 						\
218 	if (sizeof(type) >= sizeof(double))	\
219 		(lval) = (rval);		\
220 	else {					\
221 		__lval = (rval);		\
222 		(lval) = __lval;		\
223 	}					\
224 } while (0)
225 #endif
226 #endif
227 */
228 
229 /*
230  * Common routine to process the arguments to nan(), nanf(), and nanl().
231  */
232 void __scan_nan(u_int32_t *__words, int __num_words, const char *__s);
233 
234 #ifdef __GNUCLIKE_ASM
235 
236 /* Asm versions of some functions. */
237 
238 #ifdef __amd64__
239 static __inline int
240 irint(double x)
241 {
242 	int n;
243 
244 	__asm__("cvtsd2si %1,%0" : "=r" (n) : "x" (x));
245 	return (n);
246 }
247 #define	HAVE_EFFICIENT_IRINT
248 #endif
249 
250 #ifdef __i386__
251 static __inline int
252 irint(double x)
253 {
254 	int n;
255 
256 	__asm__("fistl %0" : "=m" (n) : "t" (x));
257 	return (n);
258 }
259 #define	HAVE_EFFICIENT_IRINT
260 #endif
261 
262 #endif /* __GNUCLIKE_ASM */
263 
264 /*
265  * ieee style elementary functions
266  *
267  * We rename functions here to improve other sources' diffability
268  * against fdlibm.
269  */
270 #define	__ieee754_sqrt	sqrt
271 #define	__ieee754_acos	acos
272 #define	__ieee754_acosh	acosh
273 #define	__ieee754_log	log
274 #define	__ieee754_log2	log2
275 #define	__ieee754_atanh	atanh
276 #define	__ieee754_asin	asin
277 #define	__ieee754_atan2	atan2
278 #define	__ieee754_exp	exp
279 #define	__ieee754_cosh	cosh
280 #define	__ieee754_fmod	fmod
281 #define	__ieee754_pow	pow
282 #define	__ieee754_lgamma lgamma
283 #define	__ieee754_lgamma_r lgamma_r
284 #define	__ieee754_log10	log10
285 #define	__ieee754_sinh	sinh
286 #define	__ieee754_hypot	hypot
287 #define	__ieee754_j0	j0
288 #define	__ieee754_j1	j1
289 #define	__ieee754_y0	y0
290 #define	__ieee754_y1	y1
291 #define	__ieee754_jn	jn
292 #define	__ieee754_yn	yn
293 #define	__ieee754_remainder remainder
294 #define	__ieee754_sqrtf	sqrtf
295 #define	__ieee754_acosf	acosf
296 #define	__ieee754_acoshf acoshf
297 #define	__ieee754_logf	logf
298 #define	__ieee754_atanhf atanhf
299 #define	__ieee754_asinf	asinf
300 #define	__ieee754_atan2f atan2f
301 #define	__ieee754_expf	expf
302 #define	__ieee754_coshf	coshf
303 #define	__ieee754_fmodf	fmodf
304 #define	__ieee754_powf	powf
305 #define	__ieee754_lgammaf lgammaf
306 #define	__ieee754_lgammaf_r lgammaf_r
307 #define	__ieee754_log10f log10f
308 #define	__ieee754_log2f log2f
309 #define	__ieee754_sinhf	sinhf
310 #define	__ieee754_hypotf hypotf
311 #define	__ieee754_j0f	j0f
312 #define	__ieee754_j1f	j1f
313 #define	__ieee754_y0f	y0f
314 #define	__ieee754_y1f	y1f
315 #define	__ieee754_jnf	jnf
316 #define	__ieee754_ynf	ynf
317 #define	__ieee754_remainderf remainderf
318 
319 /* fdlibm kernel function */
320 int	__kernel_rem_pio2(double*,double*,int,int,int);
321 
322 /* double precision kernel functions */
323 #ifdef INLINE_REM_PIO2
324 __inline
325 #endif
326 int	__ieee754_rem_pio2(double,double*);
327 double	__kernel_sin(double,double,int);
328 double	__kernel_cos(double,double);
329 double	__kernel_tan(double,double,int);
330 double	__ldexp_exp(double,int);
331 double complex __ldexp_cexp(double complex,int);
332 
333 /* float precision kernel functions */
334 #ifdef INLINE_REM_PIO2F
335 __inline
336 #endif
337 int	__ieee754_rem_pio2f(float,double*);
338 #ifdef INLINE_KERNEL_SINDF
339 __inline
340 #endif
341 float	__kernel_sindf(double);
342 #ifdef INLINE_KERNEL_COSDF
343 __inline
344 #endif
345 float	__kernel_cosdf(double);
346 #ifdef INLINE_KERNEL_TANDF
347 __inline
348 #endif
349 float	__kernel_tandf(double,int);
350 float	__ldexp_expf(float,int);
351 float complex __ldexp_cexpf(float complex,int);
352 
353 /* long double precision kernel functions */
354 long double __kernel_sinl(long double, long double, int);
355 long double __kernel_cosl(long double, long double);
356 long double __kernel_tanl(long double, long double, int);
357 
358 #undef OLM_DLLEXPORT
359 #ifdef _WIN32
360 # ifdef IMPORT_EXPORTS
361 #  define OLM_DLLEXPORT __declspec(dllimport)
362 # else
363 #  define OLM_DLLEXPORT __declspec(OLM_DLLEXPORT)
364 # endif
365 #else
366 #define OLM_DLLEXPORT __attribute__ ((visibility("default")))
367 #endif
368 
369 
370 #endif /* !_MATH_PRIVATE_H_ */
371