/*
 * ====================================================
 * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved.
 *
 * Developed at SunPro, a Sun Microsystems, Inc. business.
 * Permission to use, copy, modify, and distribute this
 * software is freely granted, provided that this notice
 * is preserved.
 * ====================================================
 */

/*
 * from: @(#)fdlibm.h 5.1 93/09/24
 * $FreeBSD$
 */

#ifndef _MATH_H_
#define _MATH_H_

#include <sys/cdefs.h>
#include <sys/_types.h>
#include <machine/_limits.h>

/*
 * ANSI/POSIX
 */
extern const union __infinity_un {
        unsigned char   __uc[8];
        double          __ud;
} __infinity;

extern const union __nan_un {
        unsigned char   __uc[sizeof(float)];
        float           __uf;
} __nan;

#if __GNUC_PREREQ__(3, 3) || (defined(__INTEL_COMPILER) && __INTEL_COMPILER >= 800)
#define __MATH_BUILTIN_CONSTANTS
#endif

#if __GNUC_PREREQ__(3, 0) && !defined(__INTEL_COMPILER)
#define __MATH_BUILTIN_RELOPS
#endif

#ifdef __MATH_BUILTIN_CONSTANTS
#define HUGE_VAL        __builtin_huge_val()
#else
#define HUGE_VAL        (__infinity.__ud)
#endif

#if __ISO_C_VISIBLE >= 1999
#define FP_ILOGB0       (-__INT_MAX)
#define FP_ILOGBNAN     __INT_MAX

#ifdef __MATH_BUILTIN_CONSTANTS
#define HUGE_VALF       __builtin_huge_valf()
#define HUGE_VALL       __builtin_huge_vall()
#define INFINITY        __builtin_inff()
#define NAN             __builtin_nanf("")
#else
#define HUGE_VALF       (float)HUGE_VAL
#define HUGE_VALL       (long double)HUGE_VAL
#define INFINITY        HUGE_VALF
#define NAN             (__nan.__uf)
#endif /* __MATH_BUILTIN_CONSTANTS */

#define MATH_ERRNO      1
#define MATH_ERREXCEPT  2
#define math_errhandling        MATH_ERREXCEPT

#define FP_FAST_FMAF    1

/* Symbolic constants to classify floating point numbers. */
#define FP_INFINITE     0x01
#define FP_NAN          0x02
#define FP_NORMAL       0x04
#define FP_SUBNORMAL    0x08
#define FP_ZERO         0x10

#if (__STDC_VERSION__ >= 201112L && defined(__clang__)) || \
    __has_extension(c_generic_selections)
#define __fp_type_select(x, f, d, ld) _Generic((x),                     \
    float: f(x),                                                        \
    double: d(x),                                                       \
    long double: ld(x),                                                 \
    volatile float: f(x),                                               \
    volatile double: d(x),                                              \
    volatile long double: ld(x),                                        \
    volatile const float: f(x),                                         \
    volatile const double: d(x),                                        \
    volatile const long double: ld(x),                                  \
    const float: f(x),                                                  \
    const double: d(x),                                                 \
    const long double: ld(x))
#elif __GNUC_PREREQ__(3, 1) && !defined(__cplusplus)
#define __fp_type_select(x, f, d, ld) __builtin_choose_expr(            \
    __builtin_types_compatible_p(__typeof(x), long double), ld(x),      \
    __builtin_choose_expr(                                              \
    __builtin_types_compatible_p(__typeof(x), double), d(x),            \
    __builtin_choose_expr(                                              \
    __builtin_types_compatible_p(__typeof(x), float), f(x), (void)0)))
#else
#define  __fp_type_select(x, f, d, ld)                                  \
    ((sizeof(x) == sizeof(float)) ? f(x)                                \
    : (sizeof(x) == sizeof(double)) ? d(x)                              \
    : ld(x))
#endif

#define fpclassify(x) \
        __fp_type_select(x, __fpclassifyf, __fpclassifyd, __fpclassifyl)
#define isfinite(x) __fp_type_select(x, __isfinitef, __isfinite, __isfinitel)
#define isinf(x) __fp_type_select(x, __isinff, __isinf, __isinfl)
#define isnan(x) \
        __fp_type_select(x, __inline_isnanf, __inline_isnan, __inline_isnanl)
#define isnormal(x) __fp_type_select(x, __isnormalf, __isnormal, __isnormall)

#ifdef __MATH_BUILTIN_RELOPS
#define isgreater(x, y)         __builtin_isgreater((x), (y))
#define isgreaterequal(x, y)    __builtin_isgreaterequal((x), (y))
#define isless(x, y)            __builtin_isless((x), (y))
#define islessequal(x, y)       __builtin_islessequal((x), (y))
#define islessgreater(x, y)     __builtin_islessgreater((x), (y))
#define isunordered(x, y)       __builtin_isunordered((x), (y))
#else
#define isgreater(x, y)         (!isunordered((x), (y)) && (x) > (y))
#define isgreaterequal(x, y)    (!isunordered((x), (y)) && (x) >= (y))
#define isless(x, y)            (!isunordered((x), (y)) && (x) < (y))
#define islessequal(x, y)       (!isunordered((x), (y)) && (x) <= (y))
#define islessgreater(x, y)     (!isunordered((x), (y)) && \
                                        ((x) > (y) || (y) > (x)))
#define isunordered(x, y)       (isnan(x) || isnan(y))
#endif /* __MATH_BUILTIN_RELOPS */

#define signbit(x) __fp_type_select(x, __signbitf, __signbit, __signbitl)

typedef __double_t      double_t;
typedef __float_t       float_t;
#endif /* __ISO_C_VISIBLE >= 1999 */

/*
 * XOPEN/SVID
 */
#if __BSD_VISIBLE || __XSI_VISIBLE
#define M_E             2.7182818284590452354   /* e */
#define M_LOG2E         1.4426950408889634074   /* log 2e */
#define M_LOG10E        0.43429448190325182765  /* log 10e */
#define M_LN2           0.69314718055994530942  /* log e2 */
#define M_LN10          2.30258509299404568402  /* log e10 */
#define M_PI            3.14159265358979323846  /* pi */
#define M_PI_2          1.57079632679489661923  /* pi/2 */
#define M_PI_4          0.78539816339744830962  /* pi/4 */
#define M_1_PI          0.31830988618379067154  /* 1/pi */
#define M_2_PI          0.63661977236758134308  /* 2/pi */
#define M_2_SQRTPI      1.12837916709551257390  /* 2/sqrt(pi) */
#define M_SQRT2         1.41421356237309504880  /* sqrt(2) */
#define M_SQRT1_2       0.70710678118654752440  /* 1/sqrt(2) */

#define MAXFLOAT        ((float)3.40282346638528860e+38)
extern int signgam;
#endif /* __BSD_VISIBLE || __XSI_VISIBLE */

#if __BSD_VISIBLE
#if 0
/* Old value from 4.4BSD-Lite math.h; this is probably better. */
#define HUGE            HUGE_VAL
#else
#define HUGE            MAXFLOAT
#endif
#endif /* __BSD_VISIBLE */

/*
 * Most of these functions depend on the rounding mode and have the side
 * effect of raising floating-point exceptions, so they are not declared
 * as __pure2.  In C99, FENV_ACCESS affects the purity of these functions.
 */
__BEGIN_DECLS
/*
 * ANSI/POSIX
 */
int     __fpclassifyd(double) __pure2;
int     __fpclassifyf(float) __pure2;
int     __fpclassifyl(long double) __pure2;
int     __isfinitef(float) __pure2;
int     __isfinite(double) __pure2;
int     __isfinitel(long double) __pure2;
int     __isinff(float) __pure2;
int     __isinf(double) __pure2;
int     __isinfl(long double) __pure2;
int     __isnormalf(float) __pure2;
int     __isnormal(double) __pure2;
int     __isnormall(long double) __pure2;
int     __signbit(double) __pure2;
int     __signbitf(float) __pure2;
int     __signbitl(long double) __pure2;

static __inline int
__inline_isnan(__const double __x)
{

        return (__x != __x);
}

static __inline int
__inline_isnanf(__const float __x)
{

        return (__x != __x);
}

static __inline int
__inline_isnanl(__const long double __x)
{

        return (__x != __x);
}

/*
 * Version 2 of the Single UNIX Specification (UNIX98) defined isnan() and
 * isinf() as functions taking double.  C99, and the subsequent POSIX revisions
 * (SUSv3, POSIX.1-2001, define it as a macro that accepts any real floating
 * point type.  If we are targeting SUSv2 and C99 or C11 (or C++11) then we
 * expose the newer definition, assuming that the language spec takes
 * precedence over the operating system interface spec.
 */
#if     __XSI_VISIBLE > 0 && __XSI_VISIBLE < 600 && __ISO_C_VISIBLE < 1999
#undef isinf
#undef isnan
int     isinf(double);
int     isnan(double);
#endif

double  acos(double);
double  asin(double);
double  atan(double);
double  atan2(double, double);
double  cos(double);
double  sin(double);
double  tan(double);

double  cosh(double);
double  sinh(double);
double  tanh(double);

double  exp(double);
double  frexp(double, int *);   /* fundamentally !__pure2 */
double  ldexp(double, int);
double  log(double);
double  log10(double);
double  modf(double, double *); /* fundamentally !__pure2 */

double  pow(double, double);
double  sqrt(double);

double  ceil(double);
double  fabs(double) __pure2;
double  floor(double);
double  fmod(double, double);

/*
 * These functions are not in C90.
 */
#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE
double  acosh(double);
double  asinh(double);
double  atanh(double);
double  cbrt(double);
double  erf(double);
double  erfc(double);
double  exp2(double);
double  expm1(double);
double  fma(double, double, double);
double  hypot(double, double);
int     ilogb(double) __pure2;
double  lgamma(double);
long long llrint(double);
long long llround(double);
double  log1p(double);
double  log2(double);
double  logb(double);
long    lrint(double);
long    lround(double);
double  nan(const char *) __pure2;
double  nextafter(double, double);
double  remainder(double, double);
double  remquo(double, double, int *);
double  rint(double);
#endif /* __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999 || __XSI_VISIBLE */

#if __BSD_VISIBLE || __XSI_VISIBLE
double  j0(double);
double  j1(double);
double  jn(int, double);
double  y0(double);
double  y1(double);
double  yn(int, double);

#if __XSI_VISIBLE <= 500 || __BSD_VISIBLE
double  gamma(double);
#endif

#if __XSI_VISIBLE <= 600 || __BSD_VISIBLE
double  scalb(double, double);
#endif
#endif /* __BSD_VISIBLE || __XSI_VISIBLE */

#if __BSD_VISIBLE || __ISO_C_VISIBLE >= 1999
double  copysign(double, double) __pure2;
double  fdim(double, double);
double  fmax(double, double) __pure2;
double  fmin(double, double) __pure2;
double  nearbyint(double);
double  round(double);
double  scalbln(double, long);
double  scalbn(double, int);
double  tgamma(double);
double  trunc(double);
#endif

/*
 * BSD math library entry points
 */
#if __BSD_VISIBLE
double  drem(double, double);
int     finite(double) __pure2;
int     isnanf(float) __pure2;

/*
 * Reentrant version of gamma & lgamma; passes signgam back by reference
 * as the second argument; user must allocate space for signgam.
 */
double  gamma_r(double, int *);
double  lgamma_r(double, int *);

/*
 * IEEE Test Vector
 */
double  significand(double);
#endif /* __BSD_VISIBLE */

/* float versions of ANSI/POSIX functions */
#if __ISO_C_VISIBLE >= 1999
float   acosf(float);
float   asinf(float);
float   atanf(float);
float   atan2f(float, float);
float   cosf(float);
float   sinf(float);
float   tanf(float);

float   coshf(float);
float   sinhf(float);
float   tanhf(float);

float   exp2f(float);
float   expf(float);
float   expm1f(float);
float   frexpf(float, int *);   /* fundamentally !__pure2 */
int     ilogbf(float) __pure2;
float   ldexpf(float, int);
float   log10f(float);
float   log1pf(float);
float   log2f(float);
float   logf(float);
float   modff(float, float *);  /* fundamentally !__pure2 */

float   powf(float, float);
float   sqrtf(float);

float   ceilf(float);
float   fabsf(float) __pure2;
float   floorf(float);
float   fmodf(float, float);
float   roundf(float);

float   erff(float);
float   erfcf(float);
float   hypotf(float, float);
float   lgammaf(float);
float   tgammaf(float);

float   acoshf(float);
float   asinhf(float);
float   atanhf(float);
float   cbrtf(float);
float   logbf(float);
float   copysignf(float, float) __pure2;
long long llrintf(float);
long long llroundf(float);
long    lrintf(float);
long    lroundf(float);
float   nanf(const char *) __pure2;
float   nearbyintf(float);
float   nextafterf(float, float);
float   remainderf(float, float);
float   remquof(float, float, int *);
float   rintf(float);
float   scalblnf(float, long);
float   scalbnf(float, int);
float   truncf(float);

float   fdimf(float, float);
float   fmaf(float, float, float);
float   fmaxf(float, float) __pure2;
float   fminf(float, float) __pure2;
#endif

/*
 * float versions of BSD math library entry points
 */
#if __BSD_VISIBLE
float   dremf(float, float);
int     finitef(float) __pure2;
float   gammaf(float);
float   j0f(float);
float   j1f(float);
float   jnf(int, float);
float   scalbf(float, float);
float   y0f(float);
float   y1f(float);
float   ynf(int, float);

/*
 * Float versions of reentrant version of gamma & lgamma; passes
 * signgam back by reference as the second argument; user must
 * allocate space for signgam.
 */
float   gammaf_r(float, int *);
float   lgammaf_r(float, int *);

/*
 * float version of IEEE Test Vector
 */
float   significandf(float);
#endif  /* __BSD_VISIBLE */

/*
 * long double versions of ISO/POSIX math functions
 */
#if __ISO_C_VISIBLE >= 1999
long double     acoshl(long double);
long double     acosl(long double);
long double     asinhl(long double);
long double     asinl(long double);
long double     atan2l(long double, long double);
long double     atanhl(long double);
long double     atanl(long double);
long double     cbrtl(long double);
long double     ceill(long double);
long double     copysignl(long double, long double) __pure2;
long double     coshl(long double);
long double     cosl(long double);
long double     erfcl(long double);
long double     erfl(long double);
long double     exp2l(long double);
long double     expl(long double);
long double     expm1l(long double);
long double     fabsl(long double) __pure2;
long double     fdiml(long double, long double);
long double     floorl(long double);
long double     fmal(long double, long double, long double);
long double     fmaxl(long double, long double) __pure2;
long double     fminl(long double, long double) __pure2;
long double     fmodl(long double, long double);
long double     frexpl(long double value, int *); /* fundamentally !__pure2 */
long double     hypotl(long double, long double);
int             ilogbl(long double) __pure2;
long double     ldexpl(long double, int);
long double     lgammal(long double);
long long       llrintl(long double);
long long       llroundl(long double);
long double     log10l(long double);
long double     log1pl(long double);
long double     log2l(long double);
long double     logbl(long double);
long double     logl(long double);
long            lrintl(long double);
long            lroundl(long double);
long double     modfl(long double, long double *); /* fundamentally !__pure2 */
long double     nanl(const char *) __pure2;
long double     nearbyintl(long double);
long double     nextafterl(long double, long double);
double          nexttoward(double, long double);
float           nexttowardf(float, long double);
long double     nexttowardl(long double, long double);
long double     powl(long double, long double);
long double     remainderl(long double, long double);
long double     remquol(long double, long double, int *);
long double     rintl(long double);
long double     roundl(long double);
long double     scalblnl(long double, long);
long double     scalbnl(long double, int);
long double     sinhl(long double);
long double     sinl(long double);
long double     sqrtl(long double);
long double     tanhl(long double);
long double     tanl(long double);
long double     tgammal(long double);
long double     truncl(long double);
#endif /* __ISO_C_VISIBLE >= 1999 */

#if __BSD_VISIBLE
long double     lgammal_r(long double, int *);
#endif

__END_DECLS

#endif /* !_MATH_H_ */