1/* origin: FreeBSD /usr/src/lib/msun/src/math_private.h */
2/*
3 * ====================================================
4 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
5 *
6 * Developed at SunPro, a Sun Microsystems, Inc. business.
7 * Permission to use, copy, modify, and distribute this
8 * software is freely granted, provided that this notice
9 * is preserved.
10 * ====================================================
11 */
12
13#ifndef _LIBM_H
14#define _LIBM_H
15
16#include <stdint.h>
17#include <float.h>
18#include <math.h>
19#include <complex.h>
20#include <endian.h>
21
22#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
23#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
24union ldshape {
25	long double f;
26	struct {
27		uint64_t m;
28		uint16_t se;
29	} i;
30};
31#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
32union ldshape {
33	long double f;
34	struct {
35		uint64_t lo;
36		uint32_t mid;
37		uint16_t top;
38		uint16_t se;
39	} i;
40	struct {
41		uint64_t lo;
42		uint64_t hi;
43	} i2;
44};
45#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
46union ldshape {
47	long double f;
48	struct {
49		uint16_t se;
50		uint16_t top;
51		uint32_t mid;
52		uint64_t lo;
53	} i;
54	struct {
55		uint64_t hi;
56		uint64_t lo;
57	} i2;
58};
59#else
60#error Unsupported long double representation
61#endif
62
63#define FORCE_EVAL(x) do {                        \
64	if (sizeof(x) == sizeof(float)) {         \
65		volatile float __x;               \
66		__x = (x);                        \
67	} else if (sizeof(x) == sizeof(double)) { \
68		volatile double __x;              \
69		__x = (x);                        \
70	} else {                                  \
71		volatile long double __x;         \
72		__x = (x);                        \
73	}                                         \
74} while(0)
75
76/* Get two 32 bit ints from a double.  */
77#define EXTRACT_WORDS(hi,lo,d)                    \
78do {                                              \
79  union {double f; uint64_t i;} __u;              \
80  __u.f = (d);                                    \
81  (hi) = __u.i >> 32;                             \
82  (lo) = (uint32_t)__u.i;                         \
83} while (0)
84
85/* Get the more significant 32 bit int from a double.  */
86#define GET_HIGH_WORD(hi,d)                       \
87do {                                              \
88  union {double f; uint64_t i;} __u;              \
89  __u.f = (d);                                    \
90  (hi) = __u.i >> 32;                             \
91} while (0)
92
93/* Get the less significant 32 bit int from a double.  */
94#define GET_LOW_WORD(lo,d)                        \
95do {                                              \
96  union {double f; uint64_t i;} __u;              \
97  __u.f = (d);                                    \
98  (lo) = (uint32_t)__u.i;                         \
99} while (0)
100
101/* Set a double from two 32 bit ints.  */
102#define INSERT_WORDS(d,hi,lo)                     \
103do {                                              \
104  union {double f; uint64_t i;} __u;              \
105  __u.i = ((uint64_t)(hi)<<32) | (uint32_t)(lo);  \
106  (d) = __u.f;                                    \
107} while (0)
108
109/* Set the more significant 32 bits of a double from an int.  */
110#define SET_HIGH_WORD(d,hi)                       \
111do {                                              \
112  union {double f; uint64_t i;} __u;              \
113  __u.f = (d);                                    \
114  __u.i &= 0xffffffff;                            \
115  __u.i |= (uint64_t)(hi) << 32;                  \
116  (d) = __u.f;                                    \
117} while (0)
118
119/* Set the less significant 32 bits of a double from an int.  */
120#define SET_LOW_WORD(d,lo)                        \
121do {                                              \
122  union {double f; uint64_t i;} __u;              \
123  __u.f = (d);                                    \
124  __u.i &= 0xffffffff00000000ull;                 \
125  __u.i |= (uint32_t)(lo);                        \
126  (d) = __u.f;                                    \
127} while (0)
128
129/* Get a 32 bit int from a float.  */
130#define GET_FLOAT_WORD(w,d)                       \
131do {                                              \
132  union {float f; uint32_t i;} __u;               \
133  __u.f = (d);                                    \
134  (w) = __u.i;                                    \
135} while (0)
136
137/* Set a float from a 32 bit int.  */
138#define SET_FLOAT_WORD(d,w)                       \
139do {                                              \
140  union {float f; uint32_t i;} __u;               \
141  __u.i = (w);                                    \
142  (d) = __u.f;                                    \
143} while (0)
144
145#undef __CMPLX
146#undef CMPLX
147#undef CMPLXF
148#undef CMPLXL
149
150#define __CMPLX(x, y, t) \
151	((union { _Complex t __z; t __xy[2]; }){.__xy = {(x),(y)}}.__z)
152
153#define CMPLX(x, y) __CMPLX(x, y, double)
154#define CMPLXF(x, y) __CMPLX(x, y, float)
155#define CMPLXL(x, y) __CMPLX(x, y, long double)
156
157/* fdlibm kernel functions */
158
159int    __rem_pio2_large(double*,double*,int,int,int);
160
161int    __rem_pio2(double,double*);
162double __sin(double,double,int);
163double __cos(double,double);
164double __tan(double,double,int);
165double __expo2(double);
166double complex __ldexp_cexp(double complex,int);
167
168int    __rem_pio2f(float,double*);
169float  __sindf(double);
170float  __cosdf(double);
171float  __tandf(double,int);
172float  __expo2f(float);
173float complex __ldexp_cexpf(float complex,int);
174
175int __rem_pio2l(long double, long double *);
176long double __sinl(long double, long double, int);
177long double __cosl(long double, long double);
178long double __tanl(long double, long double, int);
179
180/* polynomial evaluation */
181long double __polevll(long double, const long double *, int);
182long double __p1evll(long double, const long double *, int);
183
184#endif
185