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[glibc.git] / math / math_private.h
blob6d51930230f2a2544772ce887f22f37178be6972
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 * $Id$
15 */
16
17 #ifndef _MATH_PRIVATE_H_
18 #define _MATH_PRIVATE_H_
19
20 #include <machine/endian.h>
21 #include <sys/types.h>
22
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. */
33
34 /* A union which permits us to convert between a double and two 32 bit
35 ints. */
36
37 #if BYTE_ORDER == BIG_ENDIAN
38
39 typedef union
40 {
41 double value;
42 struct
43 {
44 u_int32_t msw;
45 u_int32_t lsw;
46 } parts;
47 } ieee_double_shape_type;
48
49 #endif
50
51 #if BYTE_ORDER == LITTLE_ENDIAN
52
53 typedef union
54 {
55 double value;
56 struct
57 {
58 u_int32_t lsw;
59 u_int32_t msw;
60 } parts;
61 } ieee_double_shape_type;
62
63 #endif
64
65 /* Get two 32 bit ints from a double. */
66
67 #define EXTRACT_WORDS(ix0,ix1,d) \
68 do { \
69 ieee_double_shape_type ew_u; \
70 ew_u.value = (d); \
71 (ix0) = ew_u.parts.msw; \
72 (ix1) = ew_u.parts.lsw; \
73 } while (0)
74
75 /* Get the more significant 32 bit int from a double. */
76
77 #define GET_HIGH_WORD(i,d) \
78 do { \
79 ieee_double_shape_type gh_u; \
80 gh_u.value = (d); \
81 (i) = gh_u.parts.msw; \
82 } while (0)
83
84 /* Get the less significant 32 bit int from a double. */
85
86 #define GET_LOW_WORD(i,d) \
87 do { \
88 ieee_double_shape_type gl_u; \
89 gl_u.value = (d); \
90 (i) = gl_u.parts.lsw; \
91 } while (0)
92
93 /* Set a double from two 32 bit ints. */
94
95 #define INSERT_WORDS(d,ix0,ix1) \
96 do { \
97 ieee_double_shape_type iw_u; \
98 iw_u.parts.msw = (ix0); \
99 iw_u.parts.lsw = (ix1); \
100 (d) = iw_u.value; \
101 } while (0)
102
103 /* Set the more significant 32 bits of a double from an int. */
104
105 #define SET_HIGH_WORD(d,v) \
106 do { \
107 ieee_double_shape_type sh_u; \
108 sh_u.value = (d); \
109 sh_u.parts.msw = (v); \
110 (d) = sh_u.value; \
111 } while (0)
112
113 /* Set the less significant 32 bits of a double from an int. */
114
115 #define SET_LOW_WORD(d,v) \
116 do { \
117 ieee_double_shape_type sl_u; \
118 sl_u.value = (d); \
119 sl_u.parts.lsw = (v); \
120 (d) = sl_u.value; \
121 } while (0)
122
123 /* A union which permits us to convert between a float and a 32 bit
124 int. */
125
126 typedef union
127 {
128 float value;
129 u_int32_t word;
130 } ieee_float_shape_type;
131
132 /* Get a 32 bit int from a float. */
133
134 #define GET_FLOAT_WORD(i,d) \
135 do { \
136 ieee_float_shape_type gf_u; \
137 gf_u.value = (d); \
138 (i) = gf_u.word; \
139 } while (0)
140
141 /* Set a float from a 32 bit int. */
142
143 #define SET_FLOAT_WORD(d,i) \
144 do { \
145 ieee_float_shape_type sf_u; \
146 sf_u.word = (i); \
147 (d) = sf_u.value; \
148 } while (0)
149
150 /* A union which permits us to convert between a long double and
151 three 32 bit ints. */
152
153 #if BYTE_ORDER == BIG_ENDIAN
154
155 typedef union
156 {
157 long double value;
158 struct
159 {
160 unsigned int sign_exponent:16;
161 unsigned int empty:16;
162 u_int32_t msw;
163 u_int32_t lsw;
164 } parts;
165 } ieee_long_double_shape_type;
166
167 #endif
168
169 #if BYTE_ORDER == LITTLE_ENDIAN
170
171 typedef union
172 {
173 long double value;
174 struct
175 {
176 u_int32_t lsw;
177 u_int32_t msw;
178 unsigned int sign_exponent:16;
179 unsigned int empty:16;
180 } parts;
181 } ieee_long_double_shape_type;
182
183 #endif
184
185 /* Get three 32 bit ints from a double. */
186
187 #define GET_LDOUBLE_WORDS(exp,ix0,ix1,d) \
188 do { \
189 ieee_long_double_shape_type ew_u; \
190 ew_u.value = (d); \
191 (exp) = ew_u.parts.sign_exponent; \
192 (ix0) = ew_u.parts.msw; \
193 (ix1) = ew_u.parts.lsw; \
194 } while (0)
195
196 /* Set a double from two 32 bit ints. */
197
198 #define SET_LDOUBLE_WORDS(d,exp,ix0,ix1) \
199 do { \
200 ieee_long_double_shape_type iw_u; \
201 iw_u.parts.sign_exponent = (exp); \
202 iw_u.parts.msw = (ix0); \
203 iw_u.parts.lsw = (ix1); \
204 (d) = iw_u.value; \
205 } while (0)
206
207 /* Get the more significant 32 bits of a long double mantissa. */
208
209 #define GET_LDOUBLE_MSW(v,d) \
210 do { \
211 ieee_long_double_shape_type sh_u; \
212 sh_u.value = (d); \
213 (v) = sh_u.parts.msw; \
214 } while (0)
215
216 /* Set the more significant 32 bits of a long double mantissa from an int. */
217
218 #define SET_LDOUBLE_MSW(d,v) \
219 do { \
220 ieee_long_double_shape_type sh_u; \
221 sh_u.value = (d); \
222 sh_u.parts.msw = (v); \
223 (d) = sh_u.value; \
224 } while (0)
225
226 /* Get int from the exponent of a long double. */
227
228 #define GET_LDOUBLE_EXP(exp,d) \
229 do { \
230 ieee_long_double_shape_type ge_u; \
231 ge_u.value = (d); \
232 (exp) = ge_u.parts.sign_exponent; \
233 } while (0)
234
235 /* Set exponent of a long double from an int. */
236
237 #define SET_LDOUBLE_EXP(d,exp) \
238 do { \
239 ieee_long_double_shape_type se_u; \
240 se_u.value = (d); \
241 se_u.parts.sign_exponent = (exp); \
242 (d) = se_u.value; \
243 } while (0)
244
245
246 /* ieee style elementary functions */
247 extern double __ieee754_sqrt __P((double));
248 extern double __ieee754_acos __P((double));
249 extern double __ieee754_acosh __P((double));
250 extern double __ieee754_log __P((double));
251 extern double __ieee754_atanh __P((double));
252 extern double __ieee754_asin __P((double));
253 extern double __ieee754_atan2 __P((double,double));
254 extern double __ieee754_exp __P((double));
255 extern double __ieee754_exp2 __P((double));
256 extern double __ieee754_exp10 __P((double));
257 extern double __ieee754_cosh __P((double));
258 extern double __ieee754_fmod __P((double,double));
259 extern double __ieee754_pow __P((double,double));
260 extern double __ieee754_lgamma_r __P((double,int *));
261 extern double __ieee754_gamma_r __P((double,int *));
262 extern double __ieee754_lgamma __P((double));
263 extern double __ieee754_gamma __P((double));
264 extern double __ieee754_log10 __P((double));
265 extern double __ieee754_sinh __P((double));
266 extern double __ieee754_hypot __P((double,double));
267 extern double __ieee754_j0 __P((double));
268 extern double __ieee754_j1 __P((double));
269 extern double __ieee754_y0 __P((double));
270 extern double __ieee754_y1 __P((double));
271 extern double __ieee754_jn __P((int,double));
272 extern double __ieee754_yn __P((int,double));
273 extern double __ieee754_remainder __P((double,double));
274 extern int32_t __ieee754_rem_pio2 __P((double,double*));
275 extern double __ieee754_scalb __P((double,double));
276
277 /* fdlibm kernel function */
278 extern double __kernel_standard __P((double,double,int));
279 extern double __kernel_sin __P((double,double,int));
280 extern double __kernel_cos __P((double,double));
281 extern double __kernel_tan __P((double,double,int));
282 extern int __kernel_rem_pio2 __P((double*,double*,int,int,int,
283 const int32_t*));
284
285
286 /* ieee style elementary float functions */
287 extern float __ieee754_sqrtf __P((float));
288 extern float __ieee754_acosf __P((float));
289 extern float __ieee754_acoshf __P((float));
290 extern float __ieee754_logf __P((float));
291 extern float __ieee754_atanhf __P((float));
292 extern float __ieee754_asinf __P((float));
293 extern float __ieee754_atan2f __P((float,float));
294 extern float __ieee754_expf __P((float));
295 extern float __ieee754_exp2f __P((float));
296 extern float __ieee754_exp10f __P((float));
297 extern float __ieee754_coshf __P((float));
298 extern float __ieee754_fmodf __P((float,float));
299 extern float __ieee754_powf __P((float,float));
300 extern float __ieee754_lgammaf_r __P((float,int *));
301 extern float __ieee754_gammaf_r __P((float,int *));
302 extern float __ieee754_lgammaf __P((float));
303 extern float __ieee754_gammaf __P((float));
304 extern float __ieee754_log10f __P((float));
305 extern float __ieee754_sinhf __P((float));
306 extern float __ieee754_hypotf __P((float,float));
307 extern float __ieee754_j0f __P((float));
308 extern float __ieee754_j1f __P((float));
309 extern float __ieee754_y0f __P((float));
310 extern float __ieee754_y1f __P((float));
311 extern float __ieee754_jnf __P((int,float));
312 extern float __ieee754_ynf __P((int,float));
313 extern float __ieee754_remainderf __P((float,float));
314 extern int32_t __ieee754_rem_pio2f __P((float,float*));
315 extern float __ieee754_scalbf __P((float,float));
316
317 /* float versions of fdlibm kernel functions */
318 extern float __kernel_sinf __P((float,float,int));
319 extern float __kernel_cosf __P((float,float));
320 extern float __kernel_tanf __P((float,float,int));
321 extern int __kernel_rem_pio2f __P((float*,float*,int,int,int,
322 const int32_t*));
323
324
325 /* ieee style elementary long double functions */
326 extern long double __ieee754_sqrtl __P((long double));
327 extern long double __ieee754_acosl __P((long double));
328 extern long double __ieee754_acoshl __P((long double));
329 extern long double __ieee754_logl __P((long double));
330 extern long double __ieee754_atanhl __P((long double));
331 extern long double __ieee754_asinl __P((long double));
332 extern long double __ieee754_atan2l __P((long double,long double));
333 extern long double __ieee754_expl __P((long double));
334 extern long double __ieee754_exp2l __P((long double));
335 extern long double __ieee754_exp10l __P((long double));
336 extern long double __ieee754_coshl __P((long double));
337 extern long double __ieee754_fmodl __P((long double,long double));
338 extern long double __ieee754_powl __P((long double,long double));
339 extern long double __ieee754_lgammal_r __P((long double,int *));
340 extern long double __ieee754_gammal_r __P((long double,int *));
341 extern long double __ieee754_lgammal __P((long double));
342 extern long double __ieee754_gammal __P((long double));
343 extern long double __ieee754_log10l __P((long double));
344 extern long double __ieee754_sinhl __P((long double));
345 extern long double __ieee754_hypotl __P((long double,long double));
346 extern long double __ieee754_j0l __P((long double));
347 extern long double __ieee754_j1l __P((long double));
348 extern long double __ieee754_y0l __P((long double));
349 extern long double __ieee754_y1l __P((long double));
350 extern long double __ieee754_jnl __P((int,long double));
351 extern long double __ieee754_ynl __P((int,long double));
352 extern long double __ieee754_remainderl __P((long double,long double));
353 extern int __ieee754_rem_pio2l __P((long double,long double*));
354 extern long double __ieee754_scalbl __P((long double,long double));
355
356 /* long double versions of fdlibm kernel functions */
357 extern long double __kernel_sinl __P((long double,long double,int));
358 extern long double __kernel_cosl __P((long double,long double));
359 extern long double __kernel_tanl __P((long double,long double,int));
360 extern int __kernel_rem_pio2l __P((long double*,long double*,int,int,
361 int,const int*));
362
363 #endif /* _MATH_PRIVATE_H_ */
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