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: head/lib/msun/src/math_private.h 87805 2001-12-13 17:22:17Z phantom $
15 */
16
17#ifndef _MATH_PRIVATE_H_
18#define _MATH_PRIVATE_H_
19
20#include <sys/types.h>
21#include <machine/endian.h>
22
23/*
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.
34 */
35
36/*
37 * A union which permits us to convert between a double and two 32 bit
38 * ints.
39 */
40
41#if BYTE_ORDER == BIG_ENDIAN
42
43typedef union
44{
45 double value;
46 struct
47 {
48 u_int32_t msw;
49 u_int32_t lsw;
50 } parts;
51} ieee_double_shape_type;
52
53#endif
54
55#if BYTE_ORDER == LITTLE_ENDIAN
56
57typedef union
58{
59 double value;
60 struct
61 {
62 u_int32_t lsw;
63 u_int32_t msw;
64 } parts;
65} ieee_double_shape_type;
66
67#endif
68
69/* Get two 32 bit ints from a double. */
70
71#define EXTRACT_WORDS(ix0,ix1,d) \
72do { \
73 ieee_double_shape_type ew_u; \
74 ew_u.value = (d); \
75 (ix0) = ew_u.parts.msw; \
76 (ix1) = ew_u.parts.lsw; \
77} while (0)
78
79/* Get the more significant 32 bit int from a double. */
80
81#define GET_HIGH_WORD(i,d) \
82do { \
83 ieee_double_shape_type gh_u; \
84 gh_u.value = (d); \
85 (i) = gh_u.parts.msw; \
86} while (0)
87
88/* Get the less significant 32 bit int from a double. */
89
90#define GET_LOW_WORD(i,d) \
91do { \
92 ieee_double_shape_type gl_u; \
93 gl_u.value = (d); \
94 (i) = gl_u.parts.lsw; \
95} while (0)
96
97/* Set a double from two 32 bit ints. */
98
99#define INSERT_WORDS(d,ix0,ix1) \
100do { \
101 ieee_double_shape_type iw_u; \
102 iw_u.parts.msw = (ix0); \
103 iw_u.parts.lsw = (ix1); \
104 (d) = iw_u.value; \
105} while (0)
106
107/* Set the more significant 32 bits of a double from an int. */
108
109#define SET_HIGH_WORD(d,v) \
110do { \
111 ieee_double_shape_type sh_u; \
112 sh_u.value = (d); \
113 sh_u.parts.msw = (v); \
114 (d) = sh_u.value; \
115} while (0)
116
117/* Set the less significant 32 bits of a double from an int. */
118
119#define SET_LOW_WORD(d,v) \
120do { \
121 ieee_double_shape_type sl_u; \
122 sl_u.value = (d); \
123 sl_u.parts.lsw = (v); \
124 (d) = sl_u.value; \
125} while (0)
126
127/*
128 * A union which permits us to convert between a float and a 32 bit
129 * int.
130 */
131
132typedef union
133{
134 float value;
135 /* FIXME: Assumes 32 bit int. */
136 unsigned int word;
137} ieee_float_shape_type;
138
139/* Get a 32 bit int from a float. */
140
141#define GET_FLOAT_WORD(i,d) \
142do { \
143 ieee_float_shape_type gf_u; \
144 gf_u.value = (d); \
145 (i) = gf_u.word; \
146} while (0)
147
148/* Set a float from a 32 bit int. */
149
150#define SET_FLOAT_WORD(d,i) \
151do { \
152 ieee_float_shape_type sf_u; \
153 sf_u.word = (i); \
154 (d) = sf_u.value; \
155} while (0)
156
157/* ieee style elementary functions */
158double __ieee754_sqrt __P((double));
159double __ieee754_acos __P((double));
160double __ieee754_acosh __P((double));
161double __ieee754_log __P((double));
162double __ieee754_atanh __P((double));
163double __ieee754_asin __P((double));
164double __ieee754_atan2 __P((double,double));
165double __ieee754_exp __P((double));
166double __ieee754_cosh __P((double));
167double __ieee754_fmod __P((double,double));
168double __ieee754_pow __P((double,double));
169double __ieee754_lgamma_r __P((double,int *));
170double __ieee754_gamma_r __P((double,int *));
171double __ieee754_lgamma __P((double));
172double __ieee754_gamma __P((double));
173double __ieee754_log10 __P((double));
174double __ieee754_sinh __P((double));
175double __ieee754_hypot __P((double,double));
176double __ieee754_j0 __P((double));
177double __ieee754_j1 __P((double));
178double __ieee754_y0 __P((double));
179double __ieee754_y1 __P((double));
180double __ieee754_jn __P((int,double));
181double __ieee754_yn __P((int,double));
182double __ieee754_remainder __P((double,double));
183int __ieee754_rem_pio2 __P((double,double*));
184double __ieee754_scalb __P((double,double));
185
186/* fdlibm kernel function */
187double __kernel_standard __P((double,double,int));
188double __kernel_sin __P((double,double,int));
189double __kernel_cos __P((double,double));
190double __kernel_tan __P((double,double,int));
191int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*));
192
193/* ieee style elementary float functions */
194float __ieee754_sqrtf __P((float));
195float __ieee754_acosf __P((float));
196float __ieee754_acoshf __P((float));
197float __ieee754_logf __P((float));
198float __ieee754_atanhf __P((float));
199float __ieee754_asinf __P((float));
200float __ieee754_atan2f __P((float,float));
201float __ieee754_expf __P((float));
202float __ieee754_coshf __P((float));
203float __ieee754_fmodf __P((float,float));
204float __ieee754_powf __P((float,float));
205float __ieee754_lgammaf_r __P((float,int *));
206float __ieee754_gammaf_r __P((float,int *));
207float __ieee754_lgammaf __P((float));
208float __ieee754_gammaf __P((float));
209float __ieee754_log10f __P((float));
210float __ieee754_sinhf __P((float));
211float __ieee754_hypotf __P((float,float));
212float __ieee754_j0f __P((float));
213float __ieee754_j1f __P((float));
214float __ieee754_y0f __P((float));
215float __ieee754_y1f __P((float));
216float __ieee754_jnf __P((int,float));
217float __ieee754_ynf __P((int,float));
218float __ieee754_remainderf __P((float,float));
219int __ieee754_rem_pio2f __P((float,float*));
220float __ieee754_scalbf __P((float,float));
221
222/* float versions of fdlibm kernel functions */
223float __kernel_sinf __P((float,float,int));
224float __kernel_cosf __P((float,float));
225float __kernel_tanf __P((float,float,int));
226int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*));
227
228#if defined(__alpha__) || defined(__ia64__)
229#define __generic___ieee754_acos __ieee754_acos
230#define __generic___ieee754_asin __ieee754_asin
231#define __generic___ieee754_atan2 __ieee754_atan2
232#define __generic___ieee754_exp __ieee754_exp
233#define __generic___ieee754_fmod __ieee754_fmod
234#define __generic___ieee754_log __ieee754_log
235#define __generic___ieee754_log10 __ieee754_log10
236#define __generic___ieee754_remainder __ieee754_remainder
237#define __generic___ieee754_scalb __ieee754_scalb
238#define __generic___ieee754_sqrt __ieee754_sqrt
239#define __generic_atan atan
240#define __generic_ceil ceil
241#define __generic_copysign copysign
242#define __generic_cos cos
243#define __generic_finite finite
244#define __generic_floor floor
245#define __generic_ilogb ilogb
246#define __generic_log1p log1p
247#define __generic_logb logb
248#define __generic_rint rint
249#define __generic_scalbn scalbn
250#define __generic_significand significand
251#define __generic_sin sin
252#define __generic_tan tan
253#endif
254
255#endif /* !_MATH_PRIVATE_H_ */
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: head/lib/msun/src/math_private.h 87805 2001-12-13 17:22:17Z phantom $
15 */
16
17#ifndef _MATH_PRIVATE_H_
18#define _MATH_PRIVATE_H_
19
20#include <sys/types.h>
21#include <machine/endian.h>
22
23/*
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.
34 */
35
36/*
37 * A union which permits us to convert between a double and two 32 bit
38 * ints.
39 */
40
41#if BYTE_ORDER == BIG_ENDIAN
42
43typedef union
44{
45 double value;
46 struct
47 {
48 u_int32_t msw;
49 u_int32_t lsw;
50 } parts;
51} ieee_double_shape_type;
52
53#endif
54
55#if BYTE_ORDER == LITTLE_ENDIAN
56
57typedef union
58{
59 double value;
60 struct
61 {
62 u_int32_t lsw;
63 u_int32_t msw;
64 } parts;
65} ieee_double_shape_type;
66
67#endif
68
69/* Get two 32 bit ints from a double. */
70
71#define EXTRACT_WORDS(ix0,ix1,d) \
72do { \
73 ieee_double_shape_type ew_u; \
74 ew_u.value = (d); \
75 (ix0) = ew_u.parts.msw; \
76 (ix1) = ew_u.parts.lsw; \
77} while (0)
78
79/* Get the more significant 32 bit int from a double. */
80
81#define GET_HIGH_WORD(i,d) \
82do { \
83 ieee_double_shape_type gh_u; \
84 gh_u.value = (d); \
85 (i) = gh_u.parts.msw; \
86} while (0)
87
88/* Get the less significant 32 bit int from a double. */
89
90#define GET_LOW_WORD(i,d) \
91do { \
92 ieee_double_shape_type gl_u; \
93 gl_u.value = (d); \
94 (i) = gl_u.parts.lsw; \
95} while (0)
96
97/* Set a double from two 32 bit ints. */
98
99#define INSERT_WORDS(d,ix0,ix1) \
100do { \
101 ieee_double_shape_type iw_u; \
102 iw_u.parts.msw = (ix0); \
103 iw_u.parts.lsw = (ix1); \
104 (d) = iw_u.value; \
105} while (0)
106
107/* Set the more significant 32 bits of a double from an int. */
108
109#define SET_HIGH_WORD(d,v) \
110do { \
111 ieee_double_shape_type sh_u; \
112 sh_u.value = (d); \
113 sh_u.parts.msw = (v); \
114 (d) = sh_u.value; \
115} while (0)
116
117/* Set the less significant 32 bits of a double from an int. */
118
119#define SET_LOW_WORD(d,v) \
120do { \
121 ieee_double_shape_type sl_u; \
122 sl_u.value = (d); \
123 sl_u.parts.lsw = (v); \
124 (d) = sl_u.value; \
125} while (0)
126
127/*
128 * A union which permits us to convert between a float and a 32 bit
129 * int.
130 */
131
132typedef union
133{
134 float value;
135 /* FIXME: Assumes 32 bit int. */
136 unsigned int word;
137} ieee_float_shape_type;
138
139/* Get a 32 bit int from a float. */
140
141#define GET_FLOAT_WORD(i,d) \
142do { \
143 ieee_float_shape_type gf_u; \
144 gf_u.value = (d); \
145 (i) = gf_u.word; \
146} while (0)
147
148/* Set a float from a 32 bit int. */
149
150#define SET_FLOAT_WORD(d,i) \
151do { \
152 ieee_float_shape_type sf_u; \
153 sf_u.word = (i); \
154 (d) = sf_u.value; \
155} while (0)
156
157/* ieee style elementary functions */
158double __ieee754_sqrt __P((double));
159double __ieee754_acos __P((double));
160double __ieee754_acosh __P((double));
161double __ieee754_log __P((double));
162double __ieee754_atanh __P((double));
163double __ieee754_asin __P((double));
164double __ieee754_atan2 __P((double,double));
165double __ieee754_exp __P((double));
166double __ieee754_cosh __P((double));
167double __ieee754_fmod __P((double,double));
168double __ieee754_pow __P((double,double));
169double __ieee754_lgamma_r __P((double,int *));
170double __ieee754_gamma_r __P((double,int *));
171double __ieee754_lgamma __P((double));
172double __ieee754_gamma __P((double));
173double __ieee754_log10 __P((double));
174double __ieee754_sinh __P((double));
175double __ieee754_hypot __P((double,double));
176double __ieee754_j0 __P((double));
177double __ieee754_j1 __P((double));
178double __ieee754_y0 __P((double));
179double __ieee754_y1 __P((double));
180double __ieee754_jn __P((int,double));
181double __ieee754_yn __P((int,double));
182double __ieee754_remainder __P((double,double));
183int __ieee754_rem_pio2 __P((double,double*));
184double __ieee754_scalb __P((double,double));
185
186/* fdlibm kernel function */
187double __kernel_standard __P((double,double,int));
188double __kernel_sin __P((double,double,int));
189double __kernel_cos __P((double,double));
190double __kernel_tan __P((double,double,int));
191int __kernel_rem_pio2 __P((double*,double*,int,int,int,const int*));
192
193/* ieee style elementary float functions */
194float __ieee754_sqrtf __P((float));
195float __ieee754_acosf __P((float));
196float __ieee754_acoshf __P((float));
197float __ieee754_logf __P((float));
198float __ieee754_atanhf __P((float));
199float __ieee754_asinf __P((float));
200float __ieee754_atan2f __P((float,float));
201float __ieee754_expf __P((float));
202float __ieee754_coshf __P((float));
203float __ieee754_fmodf __P((float,float));
204float __ieee754_powf __P((float,float));
205float __ieee754_lgammaf_r __P((float,int *));
206float __ieee754_gammaf_r __P((float,int *));
207float __ieee754_lgammaf __P((float));
208float __ieee754_gammaf __P((float));
209float __ieee754_log10f __P((float));
210float __ieee754_sinhf __P((float));
211float __ieee754_hypotf __P((float,float));
212float __ieee754_j0f __P((float));
213float __ieee754_j1f __P((float));
214float __ieee754_y0f __P((float));
215float __ieee754_y1f __P((float));
216float __ieee754_jnf __P((int,float));
217float __ieee754_ynf __P((int,float));
218float __ieee754_remainderf __P((float,float));
219int __ieee754_rem_pio2f __P((float,float*));
220float __ieee754_scalbf __P((float,float));
221
222/* float versions of fdlibm kernel functions */
223float __kernel_sinf __P((float,float,int));
224float __kernel_cosf __P((float,float));
225float __kernel_tanf __P((float,float,int));
226int __kernel_rem_pio2f __P((float*,float*,int,int,int,const int*));
227
228#if defined(__alpha__) || defined(__ia64__)
229#define __generic___ieee754_acos __ieee754_acos
230#define __generic___ieee754_asin __ieee754_asin
231#define __generic___ieee754_atan2 __ieee754_atan2
232#define __generic___ieee754_exp __ieee754_exp
233#define __generic___ieee754_fmod __ieee754_fmod
234#define __generic___ieee754_log __ieee754_log
235#define __generic___ieee754_log10 __ieee754_log10
236#define __generic___ieee754_remainder __ieee754_remainder
237#define __generic___ieee754_scalb __ieee754_scalb
238#define __generic___ieee754_sqrt __ieee754_sqrt
239#define __generic_atan atan
240#define __generic_ceil ceil
241#define __generic_copysign copysign
242#define __generic_cos cos
243#define __generic_finite finite
244#define __generic_floor floor
245#define __generic_ilogb ilogb
246#define __generic_log1p log1p
247#define __generic_logb logb
248#define __generic_rint rint
249#define __generic_scalbn scalbn
250#define __generic_significand significand
251#define __generic_sin sin
252#define __generic_tan tan
253#endif
254
255#endif /* !_MATH_PRIVATE_H_ */