src/internal/libm.h

#ifndef _LIBM_H
#define _LIBM_H

#include <stdint.h>
#include <float.h>
#include <math.h>
#include <endian.h>

#if LDBL_MANT_DIG == 53 && LDBL_MAX_EXP == 1024
#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
union ldshape {
	long double f;
	struct {
		uint64_t m;
		uint16_t se;
	} i;
};
#elif LDBL_MANT_DIG == 64 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
/* This is the m68k variant of 80-bit long double, and this definition only works
 * on archs where the alignment requirement of uint64_t is <= 4. */
union ldshape {
	long double f;
	struct {
		uint16_t se;
		uint16_t pad;
		uint64_t m;
	} i;
};
#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __LITTLE_ENDIAN
union ldshape {
	long double f;
	struct {
		uint64_t lo;
		uint32_t mid;
		uint16_t top;
		uint16_t se;
	} i;
	struct {
		uint64_t lo;
		uint64_t hi;
	} i2;
};
#elif LDBL_MANT_DIG == 113 && LDBL_MAX_EXP == 16384 && __BYTE_ORDER == __BIG_ENDIAN
union ldshape {
	long double f;
	struct {
		uint16_t se;
		uint16_t top;
		uint32_t mid;
		uint64_t lo;
	} i;
	struct {
		uint64_t hi;
		uint64_t lo;
	} i2;
};
#else
#error Unsupported long double representation
#endif

#define FORCE_EVAL(x) do {                        \
	if (sizeof(x) == sizeof(float)) {         \
		volatile float __x;               \
		__x = (x);                        \
	} else if (sizeof(x) == sizeof(double)) { \
		volatile double __x;              \
		__x = (x);                        \
	} else {                                  \
		volatile long double __x;         \
		__x = (x);                        \
	}                                         \
} while(0)

#define asuint(f) ((union{float _f; uint32_t _i;}){f})._i
#define asfloat(i) ((union{uint32_t _i; float _f;}){i})._f
#define asuint64(f) ((union{double _f; uint64_t _i;}){f})._i
#define asdouble(i) ((union{uint64_t _i; double _f;}){i})._f

#define EXTRACT_WORDS(hi,lo,d)                    \
do {                                              \
  uint64_t __u = asuint64(d);                     \
  (hi) = __u >> 32;                               \
  (lo) = (uint32_t)__u;                           \
} while (0)

#define GET_HIGH_WORD(hi,d)                       \
do {                                              \
  (hi) = asuint64(d) >> 32;                       \
} while (0)

#define GET_LOW_WORD(lo,d)                        \
do {                                              \
  (lo) = (uint32_t)asuint64(d);                   \
} while (0)

#define INSERT_WORDS(d,hi,lo)                     \
do {                                              \
  (d) = asdouble(((uint64_t)(hi)<<32) | (uint32_t)(lo)); \
} while (0)

#define SET_HIGH_WORD(d,hi)                       \
  INSERT_WORDS(d, hi, (uint32_t)asuint64(d))

#define SET_LOW_WORD(d,lo)                        \
  INSERT_WORDS(d, asuint64(d)>>32, lo)

#define GET_FLOAT_WORD(w,d)                       \
do {                                              \
  (w) = asuint(d);                                \
} while (0)

#define SET_FLOAT_WORD(d,w)                       \
do {                                              \
  (d) = asfloat(w);                               \
} while (0)

hidden int    __rem_pio2_large(double*,double*,int,int,int);

hidden int    __rem_pio2(double,double*);
hidden double __sin(double,double,int);
hidden double __cos(double,double);
hidden double __tan(double,double,int);
hidden double __expo2(double);

hidden int    __rem_pio2f(float,double*);
hidden float  __sindf(double);
hidden float  __cosdf(double);
hidden float  __tandf(double,int);
hidden float  __expo2f(float);

hidden int __rem_pio2l(long double, long double *);
hidden long double __sinl(long double, long double, int);
hidden long double __cosl(long double, long double);
hidden long double __tanl(long double, long double, int);

hidden long double __polevll(long double, const long double *, int);
hidden long double __p1evll(long double, const long double *, int);

extern int __signgam;
hidden double __lgamma_r(double, int *);
hidden float __lgammaf_r(float, int *);

#endif