2 * ====================================================
3 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
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
9 * ====================================================
13 * from: @(#)fdlibm.h 5.1 93/09/24
17 #ifndef _MATH_PRIVATE_H_
18 #define _MATH_PRIVATE_H_
20 #include <sys/types.h>
21 #include <machine/endian.h>
24 * The original fdlibm code used statements like:
25 * n0 = ((*(int*)&one)>>29)^1; * index of high word *
26 * ix0 = *(n0+(int*)&x); * high word of x *
27 * ix1 = *((1-n0)+(int*)&x); * low word of x *
28 * to dig two 32 bit words out of the 64 bit IEEE floating point
29 * value. That is non-ANSI, and, moreover, the gcc instruction
30 * scheduler gets it wrong. We instead use the following macros.
31 * Unlike the original code, we determine the endianness at compile
32 * time, not at run time; I don't see much benefit to selecting
33 * endianness at run time.
37 * A union which permits us to convert between a double and two 32 bit
41 #if BYTE_ORDER == BIG_ENDIAN
51 } ieee_double_shape_type;
55 #if BYTE_ORDER == LITTLE_ENDIAN
65 } ieee_double_shape_type;
69 /* Get two 32 bit ints from a double. */
71 #define EXTRACT_WORDS(ix0,ix1,d) \
73 ieee_double_shape_type ew_u; \
75 (ix0) = ew_u.parts.msw; \
76 (ix1) = ew_u.parts.lsw; \
79 /* Get the more significant 32 bit int from a double. */
81 #define GET_HIGH_WORD(i,d) \
83 ieee_double_shape_type gh_u; \
85 (i) = gh_u.parts.msw; \
88 /* Get the less significant 32 bit int from a double. */
90 #define GET_LOW_WORD(i,d) \
92 ieee_double_shape_type gl_u; \
94 (i) = gl_u.parts.lsw; \
97 /* Set a double from two 32 bit ints. */
99 #define INSERT_WORDS(d,ix0,ix1) \
101 ieee_double_shape_type iw_u; \
102 iw_u.parts.msw = (ix0); \
103 iw_u.parts.lsw = (ix1); \
107 /* Set the more significant 32 bits of a double from an int. */
109 #define SET_HIGH_WORD(d,v) \
111 ieee_double_shape_type sh_u; \
113 sh_u.parts.msw = (v); \
117 /* Set the less significant 32 bits of a double from an int. */
119 #define SET_LOW_WORD(d,v) \
121 ieee_double_shape_type sl_u; \
123 sl_u.parts.lsw = (v); \
128 * A union which permits us to convert between a float and a 32 bit
135 /* FIXME: Assumes 32 bit int. */
137 } ieee_float_shape_type;
139 /* Get a 32 bit int from a float. */
141 #define GET_FLOAT_WORD(i,d) \
143 ieee_float_shape_type gf_u; \
148 /* Set a float from a 32 bit int. */
150 #define SET_FLOAT_WORD(d,i) \
152 ieee_float_shape_type sf_u; \
157 #ifdef FLT_EVAL_METHOD
159 * Attempt to get strict C99 semantics for assignment with non-C99 compilers.
161 #if FLT_EVAL_METHOD == 0 || __GNUC__ == 0
162 #define STRICT_ASSIGN(type, lval, rval) ((lval) = (rval))
164 #define STRICT_ASSIGN(type, lval, rval) do { \
165 volatile type __lval; \
167 if (sizeof(type) >= sizeof(double)) \
178 * Common routine to process the arguments to nan(), nanf(), and nanl().
180 void _scan_nan(uint32_t *__words, int __num_words, const char *__s);
184 * Inline functions that can be used to construct complex values.
186 * The C99 standard intends x+I*y to be used for this, but x+I*y is
187 * currently unusable in general since gcc introduces many overflow,
188 * underflow, sign and efficiency bugs by rewriting I*y as
189 * (0.0+I)*(y+0.0*I) and laboriously computing the full complex product.
190 * In particular, I*Inf is corrupted to NaN+I*Inf, and I*-0 is corrupted
193 static __inline float complex
194 cpackf(float x, float y)
203 static __inline double complex
204 cpack(double x, double y)
213 static __inline long double complex
214 cpackl(long double x, long double y)
216 long double complex z;
222 #endif /* _COMPLEX_H */
224 #ifdef __GNUCLIKE_ASM
226 /* Asm versions of some functions. */
234 asm("cvtsd2si %1,%0" : "=r" (n) : "Y" (x));
237 #define HAVE_EFFICIENT_IRINT
246 asm("fistl %0" : "=m" (n) : "t" (x));
249 #define HAVE_EFFICIENT_IRINT
252 #endif /* __GNUCLIKE_ASM */
255 * ieee style elementary functions
257 * We rename functions here to improve other sources' diffability
260 #define __ieee754_sqrt sqrt
261 #define __ieee754_acos acos
262 #define __ieee754_acosh acosh
263 #define __ieee754_log log
264 #define __ieee754_atanh atanh
265 #define __ieee754_asin asin
266 #define __ieee754_atan2 atan2
267 #define __ieee754_exp exp
268 #define __ieee754_cosh cosh
269 #define __ieee754_fmod fmod
270 #define __ieee754_pow pow
271 #define __ieee754_lgamma lgamma
272 #define __ieee754_gamma gamma
273 #define __ieee754_lgamma_r lgamma_r
274 #define __ieee754_gamma_r gamma_r
275 #define __ieee754_log10 log10
276 #define __ieee754_sinh sinh
277 #define __ieee754_hypot hypot
278 #define __ieee754_j0 j0
279 #define __ieee754_j1 j1
280 #define __ieee754_y0 y0
281 #define __ieee754_y1 y1
282 #define __ieee754_jn jn
283 #define __ieee754_yn yn
284 #define __ieee754_remainder remainder
285 #define __ieee754_scalb scalb
286 #define __ieee754_sqrtf sqrtf
287 #define __ieee754_acosf acosf
288 #define __ieee754_acoshf acoshf
289 #define __ieee754_logf logf
290 #define __ieee754_atanhf atanhf
291 #define __ieee754_asinf asinf
292 #define __ieee754_atan2f atan2f
293 #define __ieee754_expf expf
294 #define __ieee754_coshf coshf
295 #define __ieee754_fmodf fmodf
296 #define __ieee754_powf powf
297 #define __ieee754_lgammaf lgammaf
298 #define __ieee754_gammaf gammaf
299 #define __ieee754_lgammaf_r lgammaf_r
300 #define __ieee754_gammaf_r gammaf_r
301 #define __ieee754_log10f log10f
302 #define __ieee754_sinhf sinhf
303 #define __ieee754_hypotf hypotf
304 #define __ieee754_j0f j0f
305 #define __ieee754_j1f j1f
306 #define __ieee754_y0f y0f
307 #define __ieee754_y1f y1f
308 #define __ieee754_jnf jnf
309 #define __ieee754_ynf ynf
310 #define __ieee754_remainderf remainderf
311 #define __ieee754_scalbf scalbf
313 /* fdlibm kernel function */
314 int __kernel_rem_pio2(double*,double*,int,int,int);
316 /* double precision kernel functions */
317 int __ieee754_rem_pio2(double,double*);
318 double __kernel_sin(double,double,int);
319 double __kernel_cos(double,double);
320 double __kernel_tan(double,double,int);
322 /* float precision kernel functions */
323 int __ieee754_rem_pio2f(float,double*);
324 float __kernel_sindf(double);
325 float __kernel_cosdf(double);
326 float __kernel_tandf(double,int);
328 /* long double precision kernel functions */
329 long double __kernel_sinl(long double, long double, int);
330 long double __kernel_cosl(long double, long double);
331 long double __kernel_tanl(long double, long double, int);
333 #endif /* !_MATH_PRIVATE_H_ */