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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  * $FreeBSD$
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
43 typedef 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
57 typedef 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)                                \
72 do {                                                            \
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)                                      \
82 do {                                                            \
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)                                       \
91 do {                                                            \
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)                                 \
100 do {                                                            \
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)                                      \
110 do {                                                            \
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)                                       \
120 do {                                                            \
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
132 typedef 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)                                     \
142 do {                                                            \
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)                                     \
151 do {                                                            \
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 */
158 double  __ieee754_sqrt(double);
159 double  __ieee754_acos(double);
160 double  __ieee754_acosh(double);
161 double  __ieee754_log(double);
162 double  __ieee754_atanh(double);
163 double  __ieee754_asin(double);
164 double  __ieee754_atan2(double,double);
165 double  __ieee754_exp(double);
166 double  __ieee754_cosh(double);
167 double  __ieee754_fmod(double,double);
168 double  __ieee754_pow(double,double);
169 double  __ieee754_lgamma_r(double,int *);
170 double  __ieee754_gamma_r(double,int *);
171 double  __ieee754_lgamma(double);
172 double  __ieee754_gamma(double);
173 double  __ieee754_log10(double);
174 double  __ieee754_sinh(double);
175 double  __ieee754_hypot(double,double);
176 double  __ieee754_j0(double);
177 double  __ieee754_j1(double);
178 double  __ieee754_y0(double);
179 double  __ieee754_y1(double);
180 double  __ieee754_jn(int,double);
181 double  __ieee754_yn(int,double);
182 double  __ieee754_remainder(double,double);
183 int     __ieee754_rem_pio2(double,double*);
184 double  __ieee754_scalb(double,double);
185
186 /* fdlibm kernel function */
187 double  __kernel_standard(double,double,int);
188 double  __kernel_sin(double,double,int);
189 double  __kernel_cos(double,double);
190 double  __kernel_tan(double,double,int);
191 int     __kernel_rem_pio2(double*,double*,int,int,int,const int*);
192
193 /* ieee style elementary float functions */
194 float   __ieee754_sqrtf(float);
195 float   __ieee754_acosf(float);
196 float   __ieee754_acoshf(float);
197 float   __ieee754_logf(float);
198 float   __ieee754_atanhf(float);
199 float   __ieee754_asinf(float);
200 float   __ieee754_atan2f(float,float);
201 float   __ieee754_expf(float);
202 float   __ieee754_coshf(float);
203 float   __ieee754_fmodf(float,float);
204 float   __ieee754_powf(float,float);
205 float   __ieee754_lgammaf_r(float,int *);
206 float   __ieee754_gammaf_r(float,int *);
207 float   __ieee754_lgammaf(float);
208 float   __ieee754_gammaf(float);
209 float   __ieee754_log10f(float);
210 float   __ieee754_sinhf(float);
211 float   __ieee754_hypotf(float,float);
212 float   __ieee754_j0f(float);
213 float   __ieee754_j1f(float);
214 float   __ieee754_y0f(float);
215 float   __ieee754_y1f(float);
216 float   __ieee754_jnf(int,float);
217 float   __ieee754_ynf(int,float);
218 float   __ieee754_remainderf(float,float);
219 int     __ieee754_rem_pio2f(float,float*);
220 float   __ieee754_scalbf(float,float);
221
222 /* float versions of fdlibm kernel functions */
223 float   __kernel_sinf(float,float,int);
224 float   __kernel_cosf(float,float);
225 float   __kernel_tanf(float,float,int);
226 int     __kernel_rem_pio2f(float*,float*,int,int,int,const int*);
227
228 #endif /* !_MATH_PRIVATE_H_ */