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