cosmopolitan/libc/math/math.h

506 lines
13 KiB
C

#ifndef _MATH_H
#define _MATH_H
#ifdef __cplusplus
extern "C" {
#endif
#ifdef __FP_FAST_FMA
#define FP_FAST_FMA 1
#endif
#ifdef __FP_FAST_FMAF
#define FP_FAST_FMAF 1
#endif
#ifdef __FP_FAST_FMAL
#define FP_FAST_FMAL 1
#endif
#ifdef __FLT_EVAL_METHOD__
#define FLT_EVAL_METHOD __FLT_EVAL_METHOD__
#else
#define FLT_EVAL_METHOD 0
#endif
#define float_t float
#define double_t double
#define LDBL_TRUE_MIN 3.6451995318824746025e-4951L
#define LDBL_MIN 3.3621031431120935063e-4932L
#define LDBL_MAX 1.1897314953572317650e+4932L
#define LDBL_EPSILON 1.0842021724855044340e-19L
#define LDBL_MANT_DIG 64
#define LDBL_MIN_EXP (-16381)
#define LDBL_MAX_EXP 16384
#define LDBL_DIG 18
#define LDBL_MIN_10_EXP (-4931)
#define LDBL_MAX_10_EXP 4932
#define DECIMAL_DIG 21
#define FLT_ROUNDS (__flt_rounds())
#define FLT_RADIX 2
#define FLT_TRUE_MIN 1.40129846432481707092e-45F
#define FLT_MIN 1.17549435082228750797e-38F
#define FLT_MAX 3.40282346638528859812e+38F
#define FLT_EPSILON 1.1920928955078125e-07F
#define FLT_MANT_DIG 24
#define FLT_MIN_EXP (-125)
#define FLT_MAX_EXP 128
#define FLT_HAS_SUBNORM 1
#define FLT_DIG 6
#define FLT_DECIMAL_DIG 9
#define FLT_MIN_10_EXP (-37)
#define FLT_MAX_10_EXP 38
#define DBL_TRUE_MIN 4.94065645841246544177e-324
#define DBL_MIN 2.22507385850720138309e-308
#define DBL_MAX 1.79769313486231570815e+308
#define DBL_EPSILON 2.22044604925031308085e-16
#define DBL_MANT_DIG 53
#define DBL_MIN_EXP (-1021)
#define DBL_MAX_EXP 1024
#define DBL_HAS_SUBNORM 1
#define DBL_DIG 15
#define DBL_DECIMAL_DIG 17
#define DBL_MIN_10_EXP (-307)
#define DBL_MAX_10_EXP 308
#define LDBL_HAS_SUBNORM 1
#define LDBL_DECIMAL_DIG DECIMAL_DIG
#define NAN __builtin_nanf("")
#define INFINITY __builtin_inff()
#define HUGE_VALF INFINITY
#define HUGE_VAL ((double)INFINITY)
#define HUGE_VALL ((long double)INFINITY)
#define MATH_ERRNO 1
#define MATH_ERREXCEPT 2
#define math_errhandling 2
#define FP_ILOGBNAN (-1-0x7fffffff)
#define FP_ILOGB0 FP_ILOGBNAN
#define FP_NAN 0
#define FP_INFINITE 1
#define FP_ZERO 2
#define FP_SUBNORMAL 3
#define FP_NORMAL 4
#define FE_INVALID 1
#define __FE_DENORM 2
#define FE_DIVBYZERO 4
#define FE_OVERFLOW 8
#define FE_UNDERFLOW 16
#define FE_INEXACT 32
#define FE_ALL_EXCEPT 63
#define FE_TONEAREST 0
#define FE_DOWNWARD 0x400
#define FE_UPWARD 0x800
#define FE_TOWARDZERO 0xc00
#define FE_DFL_ENV ((const fenv_t *) -1)
typedef unsigned short fexcept_t;
typedef struct {
unsigned short __control_word;
unsigned short __unused1;
unsigned short __status_word;
unsigned short __unused2;
unsigned short __tags;
unsigned short __unused3;
unsigned int __eip;
unsigned short __cs_selector;
unsigned int __opcode:11;
unsigned int __unused4:5;
unsigned int __data_offset;
unsigned short __data_selector;
unsigned short __unused5;
unsigned int __mxcsr;
} fenv_t;
int __flt_rounds(void);
int __fpclassify(double);
int __fpclassifyf(float);
int __fpclassifyl(long double);
static __inline unsigned __FLOAT_BITS(float __f)
{
union {float __f; unsigned __i;} __u;
__u.__f = __f;
return __u.__i;
}
static __inline unsigned long long __DOUBLE_BITS(double __f)
{
union {double __f; unsigned long long __i;} __u;
__u.__f = __f;
return __u.__i;
}
#define fpclassify(x) ( \
sizeof(x) == sizeof(float) ? __fpclassifyf(x) : \
sizeof(x) == sizeof(double) ? __fpclassify(x) : \
__fpclassifyl(x) )
#define isinf(x) ( \
sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) == 0x7f800000 : \
sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) == 0x7ffULL<<52 : \
__fpclassifyl(x) == FP_INFINITE)
#define isnan(x) ( \
sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) > 0x7f800000 : \
sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) > 0x7ffULL<<52 : \
__fpclassifyl(x) == FP_NAN)
#define isnormal(x) ( \
sizeof(x) == sizeof(float) ? ((__FLOAT_BITS(x)+0x00800000) & 0x7fffffff) >= 0x01000000 : \
sizeof(x) == sizeof(double) ? ((__DOUBLE_BITS(x)+(1ULL<<52)) & -1ULL>>1) >= 1ULL<<53 : \
__fpclassifyl(x) == FP_NORMAL)
#define isfinite(x) ( \
sizeof(x) == sizeof(float) ? (__FLOAT_BITS(x) & 0x7fffffff) < 0x7f800000 : \
sizeof(x) == sizeof(double) ? (__DOUBLE_BITS(x) & -1ULL>>1) < 0x7ffULL<<52 : \
__fpclassifyl(x) > FP_INFINITE)
int __signbit(double);
int __signbitf(float);
int __signbitl(long double);
#define signbit(x) ( \
sizeof(x) == sizeof(float) ? (int)(__FLOAT_BITS(x)>>31) : \
sizeof(x) == sizeof(double) ? (int)(__DOUBLE_BITS(x)>>63) : \
__signbitl(x) )
#define isunordered(x,y) (isnan((x)) ? ((void)(y),1) : isnan((y)))
#define __ISREL_DEF(rel, op, type) \
static __inline int __is##rel(type __x, type __y) \
{ return !isunordered(__x,__y) && __x op __y; }
__ISREL_DEF(lessf, <, float_t)
__ISREL_DEF(less, <, double_t)
__ISREL_DEF(lessl, <, long double)
__ISREL_DEF(lessequalf, <=, float_t)
__ISREL_DEF(lessequal, <=, double_t)
__ISREL_DEF(lessequall, <=, long double)
__ISREL_DEF(lessgreaterf, !=, float_t)
__ISREL_DEF(lessgreater, !=, double_t)
__ISREL_DEF(lessgreaterl, !=, long double)
__ISREL_DEF(greaterf, >, float_t)
__ISREL_DEF(greater, >, double_t)
__ISREL_DEF(greaterl, >, long double)
__ISREL_DEF(greaterequalf, >=, float_t)
__ISREL_DEF(greaterequal, >=, double_t)
__ISREL_DEF(greaterequall, >=, long double)
#define __tg_pred_2(x, y, p) ( \
sizeof((x)+(y)) == sizeof(float) ? p##f(x, y) : \
sizeof((x)+(y)) == sizeof(double) ? p(x, y) : \
p##l(x, y) )
#define isless(x, y) __tg_pred_2(x, y, __isless)
#define islessequal(x, y) __tg_pred_2(x, y, __islessequal)
#define islessgreater(x, y) __tg_pred_2(x, y, __islessgreater)
#define isgreater(x, y) __tg_pred_2(x, y, __isgreater)
#define isgreaterequal(x, y) __tg_pred_2(x, y, __isgreaterequal)
int feclearexcept(int);
int fegetexceptflag(fexcept_t *, int);
int feraiseexcept(int);
int fesetexceptflag(const fexcept_t *, int);
int fetestexcept(int);
int fegetround(void);
int fesetround(int);
int fegetenv(fenv_t *);
int feholdexcept(fenv_t *);
int fesetenv(const fenv_t *);
int feupdateenv(const fenv_t *);
double acos(double);
float acosf(float);
long double acosl(long double);
double acosh(double);
float acoshf(float);
long double acoshl(long double);
double asin(double);
float asinf(float);
long double asinl(long double);
double asinh(double);
float asinhf(float);
long double asinhl(long double);
double atan(double);
float atanf(float);
long double atanl(long double);
double atan2(double, double);
float atan2f(float, float);
long double atan2l(long double, long double);
double atanh(double);
float atanhf(float);
long double atanhl(long double);
double cbrt(double);
float cbrtf(float);
long double cbrtl(long double);
double ceil(double);
float ceilf(float);
long double ceill(long double);
double copysign(double, double);
float copysignf(float, float);
long double copysignl(long double, long double);
double cos(double);
float cosf(float);
long double cosl(long double);
double cosh(double);
float coshf(float);
long double coshl(long double);
double erf(double);
float erff(float);
long double erfl(long double);
double erfc(double);
float erfcf(float);
long double erfcl(long double);
double exp(double);
float expf(float);
long double expl(long double);
double exp2(double);
float exp2f(float);
long double exp2l(long double);
double expm1(double);
float expm1f(float);
long double expm1l(long double);
double fabs(double);
float fabsf(float);
long double fabsl(long double);
double fdim(double, double);
float fdimf(float, float);
long double fdiml(long double, long double);
double floor(double);
float floorf(float);
long double floorl(long double);
double fma(double, double, double);
float fmaf(float, float, float);
long double fmal(long double, long double, long double);
double fmax(double, double);
float fmaxf(float, float);
long double fmaxl(long double, long double);
double fmin(double, double);
float fminf(float, float);
long double fminl(long double, long double);
double fmod(double, double);
float fmodf(float, float);
long double fmodl(long double, long double);
double frexp(double, int *);
float frexpf(float, int *);
long double frexpl(long double, int *);
double hypot(double, double);
float hypotf(float, float);
long double hypotl(long double, long double);
int ilogb(double);
int ilogbf(float);
int ilogbl(long double);
double ldexp(double, int);
float ldexpf(float, int);
long double ldexpl(long double, int);
double lgamma(double);
float lgammaf(float);
long double lgammal(long double);
long long llrint(double);
long long llrintf(float);
long long llrintl(long double);
long long llround(double);
long long llroundf(float);
long long llroundl(long double);
double log(double);
float logf(float);
long double logl(long double);
double log10(double);
float log10f(float);
long double log10l(long double);
double log1p(double);
float log1pf(float);
long double log1pl(long double);
double log2(double);
float log2f(float);
long double log2l(long double);
double logb(double);
float logbf(float);
long double logbl(long double);
long lrint(double);
long lrintf(float);
long lrintl(long double);
long lround(double);
long lroundf(float);
long lroundl(long double);
double modf(double, double *);
float modff(float, float *);
long double modfl(long double, long double *);
double nan(const char *);
float nanf(const char *);
long double nanl(const char *);
double nearbyint(double);
float nearbyintf(float);
long double nearbyintl(long double);
double nextafter(double, double);
float nextafterf(float, float);
long double nextafterl(long double, long double);
double nexttoward(double, long double);
float nexttowardf(float, long double);
long double nexttowardl(long double, long double);
double pow(double, double);
float powf(float, float);
long double powl(long double, long double);
double remainder(double, double);
float remainderf(float, float);
long double remainderl(long double, long double);
double remquo(double, double, int *);
float remquof(float, float, int *);
long double remquol(long double, long double, int *);
double rint(double);
float rintf(float);
long double rintl(long double);
double round(double);
float roundf(float);
long double roundl(long double);
double scalbln(double, long);
float scalblnf(float, long);
long double scalblnl(long double, long);
double scalbn(double, int);
float scalbnf(float, int);
long double scalbnl(long double, int);
double sin(double);
float sinf(float);
long double sinl(long double);
double sinh(double);
float sinhf(float);
long double sinhl(long double);
double sqrt(double);
float sqrtf(float);
long double sqrtl(long double);
double tan(double);
float tanf(float);
long double tanl(long double);
double tanh(double);
float tanhf(float);
long double tanhl(long double);
double tgamma(double);
float tgammaf(float);
long double tgammal(long double);
double trunc(double);
float truncf(float);
long double truncl(long double);
#undef MAXFLOAT
#define MAXFLOAT 3.40282346638528859812e+38F
#define M_E 2.7182818284590452354 /* e */
#define M_LOG2E 1.4426950408889634074 /* log_2 e */
#define M_LOG10E 0.43429448190325182765 /* log_10 e */
#define M_LN2 0.69314718055994530942 /* log_e 2 */
#define M_LN10 2.30258509299404568402 /* log_e 10 */
#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) */
extern int signgam;
double j0(double);
double j1(double);
double jn(int, double);
double y0(double);
double y1(double);
double yn(int, double);
#define HUGE 3.40282346638528859812e+38F
double drem(double, double);
float dremf(float, float);
int finite(double);
int finitef(float);
double scalb(double, double);
float scalbf(float, float);
double significand(double);
float significandf(float);
double lgamma_r(double, int*);
float lgammaf_r(float, int*);
float j0f(float);
float j1f(float);
float jnf(int, float);
float y0f(float);
float y1f(float);
float ynf(int, float);
long double lgammal_r(long double, int*);
void sincos(double, double*, double*);
void sincosf(float, float*, float*);
void sincosl(long double, long double*, long double*);
double exp10(double);
float exp10f(float);
long double exp10l(long double);
double pow10(double);
float pow10f(float);
long double pow10l(long double);
#ifdef __cplusplus
}
#endif
#endif