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| 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_E
NDIAN |
| 24 union 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 |
| 32 union 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_END
IAN |
| 46 union 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) \ |
| 78 do { \ |
| 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) \ |
| 87 do { \ |
| 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) \ |
| 95 do { \ |
| 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) \ |
| 103 do { \ |
| 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) \ |
| 111 do { \ |
| 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) \ |
| 121 do { \ |
| 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) \ |
| 131 do { \ |
| 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) \ |
| 139 do { \ |
| 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 |
| 159 int __rem_pio2_large(double*,double*,int,int,int); |
| 160 |
| 161 int __rem_pio2(double,double*); |
| 162 double __sin(double,double,int); |
| 163 double __cos(double,double); |
| 164 double __tan(double,double,int); |
| 165 double __expo2(double); |
| 166 double complex __ldexp_cexp(double complex,int); |
| 167 |
| 168 int __rem_pio2f(float,double*); |
| 169 float __sindf(double); |
| 170 float __cosdf(double); |
| 171 float __tandf(double,int); |
| 172 float __expo2f(float); |
| 173 float complex __ldexp_cexpf(float complex,int); |
| 174 |
| 175 int __rem_pio2l(long double, long double *); |
| 176 long double __sinl(long double, long double, int); |
| 177 long double __cosl(long double, long double); |
| 178 long double __tanl(long double, long double, int); |
| 179 |
| 180 /* polynomial evaluation */ |
| 181 long double __polevll(long double, const long double *, int); |
| 182 long double __p1evll(long double, const long double *, int); |
| 183 |
| 184 #endif |
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