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_
21 #include <sys/types.h>
23 /* The original fdlibm code used statements like:
24 n0 = ((*(int*)&one)>>29)^1; * index of high word *
25 ix0 = *(n0+(int*)&x); * high word of x *
26 ix1 = *((1-n0)+(int*)&x); * low word of x *
27 to dig two 32 bit words out of the 64 bit IEEE floating point
28 value. That is non-ANSI, and, moreover, the gcc instruction
29 scheduler gets it wrong. We instead use the following macros.
30 Unlike the original code, we determine the endianness at compile
31 time, not at run time; I don't see much benefit to selecting
32 endianness at run time. */
34 /* A union which permits us to convert between a double and two 32 bit
37 #if __FLOAT_WORD_ORDER == BIG_ENDIAN
47 } ieee_double_shape_type
;
51 #if __FLOAT_WORD_ORDER == LITTLE_ENDIAN
61 } ieee_double_shape_type
;
65 /* Get two 32 bit ints from a double. */
67 #define EXTRACT_WORDS(ix0,ix1,d) \
69 ieee_double_shape_type ew_u; \
71 (ix0) = ew_u.parts.msw; \
72 (ix1) = ew_u.parts.lsw; \
75 /* Get the more significant 32 bit int from a double. */
77 #define GET_HIGH_WORD(i,d) \
79 ieee_double_shape_type gh_u; \
81 (i) = gh_u.parts.msw; \
84 /* Get the less significant 32 bit int from a double. */
86 #define GET_LOW_WORD(i,d) \
88 ieee_double_shape_type gl_u; \
90 (i) = gl_u.parts.lsw; \
93 /* Set a double from two 32 bit ints. */
95 #define INSERT_WORDS(d,ix0,ix1) \
97 ieee_double_shape_type iw_u; \
98 iw_u.parts.msw = (ix0); \
99 iw_u.parts.lsw = (ix1); \
103 /* Set the more significant 32 bits of a double from an int. */
105 #define SET_HIGH_WORD(d,v) \
107 ieee_double_shape_type sh_u; \
109 sh_u.parts.msw = (v); \
113 /* Set the less significant 32 bits of a double from an int. */
115 #define SET_LOW_WORD(d,v) \
117 ieee_double_shape_type sl_u; \
119 sl_u.parts.lsw = (v); \
123 /* A union which permits us to convert between a float and a 32 bit
130 } ieee_float_shape_type
;
132 /* Get a 32 bit int from a float. */
134 #define GET_FLOAT_WORD(i,d) \
136 ieee_float_shape_type gf_u; \
141 /* Set a float from a 32 bit int. */
143 #define SET_FLOAT_WORD(d,i) \
145 ieee_float_shape_type sf_u; \
150 /* Get long double macros from a separate header. */
151 #include <math_ldbl.h>
153 /* ieee style elementary functions */
154 extern double __ieee754_sqrt (double);
155 extern double __ieee754_acos (double);
156 extern double __ieee754_acosh (double);
157 extern double __ieee754_log (double);
158 extern double __ieee754_atanh (double);
159 extern double __ieee754_asin (double);
160 extern double __ieee754_atan2 (double,double);
161 extern double __ieee754_exp (double);
162 extern double __ieee754_exp2 (double);
163 extern double __ieee754_exp10 (double);
164 extern double __ieee754_cosh (double);
165 extern double __ieee754_fmod (double,double);
166 extern double __ieee754_pow (double,double);
167 extern double __ieee754_lgamma_r (double,int *);
168 extern double __ieee754_gamma_r (double,int *);
169 extern double __ieee754_lgamma (double);
170 extern double __ieee754_gamma (double);
171 extern double __ieee754_log10 (double);
172 extern double __ieee754_log2 (double);
173 extern double __ieee754_sinh (double);
174 extern double __ieee754_hypot (double,double);
175 extern double __ieee754_j0 (double);
176 extern double __ieee754_j1 (double);
177 extern double __ieee754_y0 (double);
178 extern double __ieee754_y1 (double);
179 extern double __ieee754_jn (int,double);
180 extern double __ieee754_yn (int,double);
181 extern double __ieee754_remainder (double,double);
182 extern int32_t __ieee754_rem_pio2 (double,double*);
183 extern double __ieee754_scalb (double,double);
185 /* fdlibm kernel function */
186 extern double __kernel_standard (double,double,int);
187 extern double __kernel_sin (double,double,int);
188 extern double __kernel_cos (double,double);
189 extern double __kernel_tan (double,double,int);
190 extern int __kernel_rem_pio2 (double*,double*,int,int,int, const int32_t*);
192 /* internal functions. */
193 extern double __copysign (double x
, double __y
);
196 /* ieee style elementary float functions */
197 extern float __ieee754_sqrtf (float);
198 extern float __ieee754_acosf (float);
199 extern float __ieee754_acoshf (float);
200 extern float __ieee754_logf (float);
201 extern float __ieee754_atanhf (float);
202 extern float __ieee754_asinf (float);
203 extern float __ieee754_atan2f (float,float);
204 extern float __ieee754_expf (float);
205 extern float __ieee754_exp2f (float);
206 extern float __ieee754_exp10f (float);
207 extern float __ieee754_coshf (float);
208 extern float __ieee754_fmodf (float,float);
209 extern float __ieee754_powf (float,float);
210 extern float __ieee754_lgammaf_r (float,int *);
211 extern float __ieee754_gammaf_r (float,int *);
212 extern float __ieee754_lgammaf (float);
213 extern float __ieee754_gammaf (float);
214 extern float __ieee754_log10f (float);
215 extern float __ieee754_log2f (float);
216 extern float __ieee754_sinhf (float);
217 extern float __ieee754_hypotf (float,float);
218 extern float __ieee754_j0f (float);
219 extern float __ieee754_j1f (float);
220 extern float __ieee754_y0f (float);
221 extern float __ieee754_y1f (float);
222 extern float __ieee754_jnf (int,float);
223 extern float __ieee754_ynf (int,float);
224 extern float __ieee754_remainderf (float,float);
225 extern int32_t __ieee754_rem_pio2f (float,float*);
226 extern float __ieee754_scalbf (float,float);
229 /* float versions of fdlibm kernel functions */
230 extern float __kernel_sinf (float,float,int);
231 extern float __kernel_cosf (float,float);
232 extern float __kernel_tanf (float,float,int);
233 extern int __kernel_rem_pio2f (float*,float*,int,int,int, const int32_t*);
235 /* internal functions. */
236 extern float __copysignf (float x
, float __y
);
239 /* ieee style elementary long double functions */
240 extern long double __ieee754_sqrtl (long double);
241 extern long double __ieee754_acosl (long double);
242 extern long double __ieee754_acoshl (long double);
243 extern long double __ieee754_logl (long double);
244 extern long double __ieee754_atanhl (long double);
245 extern long double __ieee754_asinl (long double);
246 extern long double __ieee754_atan2l (long double,long double);
247 extern long double __ieee754_expl (long double);
248 extern long double __ieee754_exp2l (long double);
249 extern long double __ieee754_exp10l (long double);
250 extern long double __ieee754_coshl (long double);
251 extern long double __ieee754_fmodl (long double,long double);
252 extern long double __ieee754_powl (long double,long double);
253 extern long double __ieee754_lgammal_r (long double,int *);
254 extern long double __ieee754_gammal_r (long double,int *);
255 extern long double __ieee754_lgammal (long double);
256 extern long double __ieee754_gammal (long double);
257 extern long double __ieee754_log10l (long double);
258 extern long double __ieee754_log2l (long double);
259 extern long double __ieee754_sinhl (long double);
260 extern long double __ieee754_hypotl (long double,long double);
261 extern long double __ieee754_j0l (long double);
262 extern long double __ieee754_j1l (long double);
263 extern long double __ieee754_y0l (long double);
264 extern long double __ieee754_y1l (long double);
265 extern long double __ieee754_jnl (int,long double);
266 extern long double __ieee754_ynl (int,long double);
267 extern long double __ieee754_remainderl (long double,long double);
268 extern int __ieee754_rem_pio2l (long double,long double*);
269 extern long double __ieee754_scalbl (long double,long double);
271 /* long double versions of fdlibm kernel functions */
272 extern long double __kernel_sinl (long double,long double,int);
273 extern long double __kernel_cosl (long double,long double);
274 extern long double __kernel_tanl (long double,long double,int);
275 extern void __kernel_sincosl (long double,long double,
276 long double *,long double *, int);
277 extern int __kernel_rem_pio2l (long double*,long double*,int,int,
280 #ifndef NO_LONG_DOUBLE
281 /* prototypes required to compile the ldbl-96 support without warnings */
282 extern int __finitel (long double);
283 extern int __ilogbl (long double);
284 extern int __isinfl (long double);
285 extern int __isnanl (long double);
286 extern long double __atanl (long double);
287 extern long double __copysignl (long double, long double);
288 extern long double __expm1l (long double);
289 extern long double __floorl (long double);
290 extern long double __frexpl (long double, int *);
291 extern long double __ldexpl (long double, int);
292 extern long double __log1pl (long double);
293 extern long double __nanl (const char *);
294 extern long double __rintl (long double);
295 extern long double __scalbnl (long double, int);
296 extern long double __sqrtl (long double x
);
297 extern long double fabsl (long double x
);
298 extern void __sincosl (long double, long double *, long double *);
299 extern long double __logbl (long double x
);
300 extern long double __significandl (long double x
);
303 /* Prototypes for functions of the IBM Accurate Mathematical Library. */
304 extern double __exp1 (double __x
, double __xx
, double __error
);
305 extern double __sin (double __x
);
306 extern double __cos (double __x
);
307 extern int __branred (double __x
, double *__a
, double *__aa
);
308 extern void __doasin (double __x
, double __dx
, double __v
[]);
309 extern void __dubsin (double __x
, double __dx
, double __v
[]);
310 extern void __dubcos (double __x
, double __dx
, double __v
[]);
311 extern double __halfulp (double __x
, double __y
);
312 extern double __sin32 (double __x
, double __res
, double __res1
);
313 extern double __cos32 (double __x
, double __res
, double __res1
);
314 extern double __mpsin (double __x
, double __dx
);
315 extern double __mpcos (double __x
, double __dx
);
316 extern double __mpsin1 (double __x
);
317 extern double __mpcos1 (double __x
);
318 extern double __slowexp (double __x
);
319 extern double __slowpow (double __x
, double __y
, double __z
);
320 extern void __docos (double __x
, double __dx
, double __v
[]);
322 #endif /* _MATH_PRIVATE_H_ */