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c91b3c5006
14915 changed files with 590219 additions and 0 deletions
505
libc/math/math.h
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505
libc/math/math.h
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#ifndef _MATH_H
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#define _MATH_H
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#ifdef __cplusplus
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extern "C" {
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#endif
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|
||||
#ifdef __FP_FAST_FMA
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#define FP_FAST_FMA 1
|
||||
#endif
|
||||
|
||||
#ifdef __FP_FAST_FMAF
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||||
#define FP_FAST_FMAF 1
|
||||
#endif
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||||
|
||||
#ifdef __FP_FAST_FMAL
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#define FP_FAST_FMAL 1
|
||||
#endif
|
||||
|
||||
#ifdef __FLT_EVAL_METHOD__
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#define FLT_EVAL_METHOD __FLT_EVAL_METHOD__
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#else
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||||
#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
|
Loading…
Add table
Add a link
Reference in a new issue