mathematical algorithm library More...

#include "a.h"
#include <math.h>

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Macros
#define	A_E 2.71828182845904523536

#define	A_LOG2E 1.44269504088896340736

#define	A_LOG10E 0.434294481903251827651

#define	A_LN2 0.693147180559945309417

#define	A_LN1_2 3.32192809488736218171

#define	A_LN10 2.30258509299404568402

#define	A_LN1_10 0.434294481903251827651

#define	A_PI 3.14159265358979323846

#define	A_TAU 6.28318530717958647693

#define	A_PI_2 1.57079632679489661923

#define	A_PI_4 0.785398163397448309616

#define	A_1_PI 0.318309886183790671538

#define	A_2_PI 0.636619772367581343076

#define	A_1_TAU 0.159154943091895335769

#define	A_2_SQRTPI 1.12837916709551257390

#define	A_SQRT2 1.41421356237309504880

#define	A_SQRT1_2 0.707106781186547524401

#define	A_SQRT3 1.73205080756887729352

#define	A_SQRT1_3 0.57735026918962576450

#define	a_f32_modf A_F32_F(modf)

#define	a_f32_frexp A_F32_F(frexp)

#define	a_f32_ldexp A_F32_F(ldexp)

#define	a_f32_scalbn A_F32_F(scalbn)

#define	a_f32_scalbln A_F32_F(scalbln)

#define	a_f32_nextafter A_F32_F(nextafter)

#define	a_f32_nexttoward A_F32_F(nexttoward)

#define	a_f32_copysign A_F32_F(copysign)

#define	a_f32_ma A_F32_F(fma)

#define	a_f32_nan A_F32_F(nan)

#define	a_f32_abs A_F32_F(fabs)

#define	a_f32_mod A_F32_F(fmod)

#define	a_f32_max A_F32_F(fmax)

#define	a_f32_min A_F32_F(fmin)

#define	a_f32_dim A_F32_F(fdim)

#define	a_f32_remquo A_F32_F(remquo)

#define	a_f32_remainder A_F32_F(remainder)

#define	a_f32_exp A_F32_F(exp)

#define	a_f32_exp2 A_F32_F(exp2)

#define	a_f32_expm1 A_F32_F(expm1)

#define	a_f32_log A_F32_F(log)

#define	a_f32_logb A_F32_F(logb)

#define	a_f32_log2 A_F32_F(log2)

#define	a_f32_log10 A_F32_F(log10)

#define	a_f32_log1p A_F32_F(log1p)

#define	a_f32_ilogb A_F32_F(ilogb)

#define	a_f32_pow A_F32_F(pow)

#define	a_f32_sqrt A_F32_F(sqrt)

#define	a_f32_cbrt A_F32_F(cbrt)

#define	a_f32_hypot A_F32_F(hypot)

#define	a_f32_sin A_F32_F(sin)

#define	a_f32_cos A_F32_F(cos)

#define	a_f32_tan A_F32_F(tan)

#define	a_f32_asin A_F32_F(asin)

#define	a_f32_acos A_F32_F(acos)

#define	a_f32_atan A_F32_F(atan)

#define	a_f32_atan2 A_F32_F(atan2)

#define	a_f32_sinh A_F32_F(sinh)

#define	a_f32_cosh A_F32_F(cosh)

#define	a_f32_tanh A_F32_F(tanh)

#define	a_f32_asinh A_F32_F(asinh)

#define	a_f32_acosh A_F32_F(acosh)

#define	a_f32_atanh A_F32_F(atanh)

#define	a_f32_erf A_F32_F(erf)

#define	a_f32_erfc A_F32_F(erfc)

#define	a_f32_tgamma A_F32_F(tgamma)

#define	a_f32_lgamma A_F32_F(lgamma)

#define	a_f32_ceil A_F32_F(ceil)

#define	a_f32_floor A_F32_F(floor)

#define	a_f32_trunc A_F32_F(trunc)

#define	a_f32_round A_F32_F(round)

#define	a_f32_lround A_F32_F(lround)

#define	a_f32_llround A_F32_F(llround)

#define	a_f32_nearbyint A_F32_F(nearbyint)

#define	a_f32_rint A_F32_F(rint)

#define	a_f32_lrintt A_F32_F(lrint)

#define	a_f32_llrintt A_F32_F(llrint)

#define	a_f64_modf A_F64_F(modf)

#define	a_f64_frexp A_F64_F(frexp)

#define	a_f64_ldexp A_F64_F(ldexp)

#define	a_f64_scalbn A_F64_F(scalbn)

#define	a_f64_scalbln A_F64_F(scalbln)

#define	a_f64_nextafter A_F64_F(nextafter)

#define	a_f64_nexttoward A_F64_F(nexttoward)

#define	a_f64_copysign A_F64_F(copysign)

#define	a_f64_ma A_F64_F(fma)

#define	a_f64_nan A_F64_F(nan)

#define	a_f64_abs A_F64_F(fabs)

#define	a_f64_mod A_F64_F(fmod)

#define	a_f64_max A_F64_F(fmax)

#define	a_f64_min A_F64_F(fmin)

#define	a_f64_dim A_F64_F(fdim)

#define	a_f64_remquo A_F64_F(remquo)

#define	a_f64_remainder A_F64_F(remainder)

#define	a_f64_exp A_F64_F(exp)

#define	a_f64_exp2 A_F64_F(exp2)

#define	a_f64_expm1 A_F64_F(expm1)

#define	a_f64_log A_F64_F(log)

#define	a_f64_logb A_F64_F(logb)

#define	a_f64_log2 A_F64_F(log2)

#define	a_f64_log10 A_F64_F(log10)

#define	a_f64_log1p A_F64_F(log1p)

#define	a_f64_ilogb A_F64_F(ilogb)

#define	a_f64_pow A_F64_F(pow)

#define	a_f64_sqrt A_F64_F(sqrt)

#define	a_f64_cbrt A_F64_F(cbrt)

#define	a_f64_hypot A_F64_F(hypot)

#define	a_f64_sin A_F64_F(sin)

#define	a_f64_cos A_F64_F(cos)

#define	a_f64_tan A_F64_F(tan)

#define	a_f64_asin A_F64_F(asin)

#define	a_f64_acos A_F64_F(acos)

#define	a_f64_atan A_F64_F(atan)

#define	a_f64_atan2 A_F64_F(atan2)

#define	a_f64_sinh A_F64_F(sinh)

#define	a_f64_cosh A_F64_F(cosh)

#define	a_f64_tanh A_F64_F(tanh)

#define	a_f64_asinh A_F64_F(asinh)

#define	a_f64_acosh A_F64_F(acosh)

#define	a_f64_atanh A_F64_F(atanh)

#define	a_f64_erf A_F64_F(erf)

#define	a_f64_erfc A_F64_F(erfc)

#define	a_f64_tgamma A_F64_F(tgamma)

#define	a_f64_lgamma A_F64_F(lgamma)

#define	a_f64_ceil A_F64_F(ceil)

#define	a_f64_floor A_F64_F(floor)

#define	a_f64_trunc A_F64_F(trunc)

#define	a_f64_round A_F64_F(round)

#define	a_f64_lround A_F64_F(lround)

#define	a_f64_llround A_F64_F(llround)

#define	a_f64_nearbyint A_F64_F(nearbyint)

#define	a_f64_rint A_F64_F(rint)

#define	a_f64_lrintt A_F64_F(lrint)

#define	a_f64_llrintt A_F64_F(llrint)

#define	A_REAL_E A_REAL_C(A_E)

#define	A_REAL_LOG2E A_REAL_C(A_LOG2E)

#define	A_REAL_LOG10E A_REAL_C(A_LOG10E)

#define	A_REAL_LN2 A_REAL_C(A_LN2)

#define	A_REAL_LN1_2 A_REAL_C(A_LN1_2)

#define	A_REAL_LN10 A_REAL_C(A_LN10)

#define	A_REAL_LN1_10 A_REAL_C(A_LN1_10)

#define	A_REAL_PI A_REAL_C(A_PI)

#define	A_REAL_TAU A_REAL_C(A_TAU)

#define	A_REAL_PI_2 A_REAL_C(A_PI_2)

#define	A_REAL_PI_4 A_REAL_C(A_PI_4)

#define	A_REAL_1_PI A_REAL_C(A_1_PI)

#define	A_REAL_2_PI A_REAL_C(A_2_PI)

#define	A_REAL_1_TAU A_REAL_C(A_1_TAU)

#define	A_REAL_2_SQRTPI A_REAL_C(A_2_SQRTPI)

#define	A_REAL_SQRT2 A_REAL_C(A_SQRT2)

#define	A_REAL_SQRT1_2 A_REAL_C(A_SQRT1_2)

#define	A_REAL_SQRT3 A_REAL_C(A_SQRT3)

#define	A_REAL_SQRT1_3 A_REAL_C(A_SQRT1_3)

#define	a_real_modf A_REAL_F(modf)

#define	a_real_frexp A_REAL_F(frexp)

#define	a_real_ldexp A_REAL_F(ldexp)

#define	a_real_scalbn A_REAL_F(scalbn)

#define	a_real_scalbln A_REAL_F(scalbln)

#define	a_real_nextafter A_REAL_F(nextafter)

#define	a_real_nexttoward A_REAL_F(nexttoward)

#define	a_real_copysign A_REAL_F(copysign)

#define	a_real_ma A_REAL_F(fma)

#define	a_real_nan A_REAL_F(nan)

#define	a_real_abs A_REAL_F(fabs)

#define	a_real_mod A_REAL_F(fmod)

#define	a_real_max A_REAL_F(fmax)

#define	a_real_min A_REAL_F(fmin)

#define	a_real_dim A_REAL_F(fdim)

#define	a_real_remquo A_REAL_F(remquo)

#define	a_real_remainder A_REAL_F(remainder)

#define	a_real_exp A_REAL_F(exp)

#define	a_real_exp2 A_REAL_F(exp2)

#define	a_real_expm1 A_REAL_F(expm1)

#define	a_real_log A_REAL_F(log)

#define	a_real_logb A_REAL_F(logb)

#define	a_real_log2 A_REAL_F(log2)

#define	a_real_log10 A_REAL_F(log10)

#define	a_real_log1p A_REAL_F(log1p)

#define	a_real_ilogb A_REAL_F(ilogb)

#define	a_real_pow A_REAL_F(pow)

#define	a_real_sqrt A_REAL_F(sqrt)

#define	a_real_cbrt A_REAL_F(cbrt)

#define	a_real_hypot A_REAL_F(hypot)

#define	a_real_sin A_REAL_F(sin)

#define	a_real_cos A_REAL_F(cos)

#define	a_real_tan A_REAL_F(tan)

#define	a_real_asin A_REAL_F(asin)

#define	a_real_acos A_REAL_F(acos)

#define	a_real_atan A_REAL_F(atan)

#define	a_real_atan2 A_REAL_F(atan2)

#define	a_real_sinh A_REAL_F(sinh)

#define	a_real_cosh A_REAL_F(cosh)

#define	a_real_tanh A_REAL_F(tanh)

#define	a_real_asinh A_REAL_F(asinh)

#define	a_real_acosh A_REAL_F(acosh)

#define	a_real_atanh A_REAL_F(atanh)

#define	a_real_erf A_REAL_F(erf)

#define	a_real_erfc A_REAL_F(erfc)

#define	a_real_tgamma A_REAL_F(tgamma)

#define	a_real_lgamma A_REAL_F(lgamma)

#define	a_real_ceil A_REAL_F(ceil)

#define	a_real_floor A_REAL_F(floor)

#define	a_real_trunc A_REAL_F(trunc)

#define	a_real_round A_REAL_F(round)

#define	a_real_lround A_REAL_F(lround)

#define	a_real_llround A_REAL_F(llround)

#define	a_real_nearbyint A_REAL_F(nearbyint)

#define	a_real_rint A_REAL_F(rint)

#define	a_real_lrintt A_REAL_F(lrint)

#define	a_real_llrintt A_REAL_F(llrint)

Functions
a_u32	a_u32_gcd (a_u32 a, a_u32 b)
	compute the greatest common divisor of two unsigned integers

a_u64	a_u64_gcd (a_u64 a, a_u64 b)

a_u32	a_u32_lcm (a_u32 a, a_u32 b)
	compute the least common multiple of two unsigned integers

a_u64	a_u64_lcm (a_u64 a, a_u64 b)

a_u16	a_u32_sqrt (a_u32 x)
	compute the square root of an unsigned integer

a_u32	a_u64_sqrt (a_u64 x)

a_f32	a_f32_rsqrt (a_f32 x)
	compute the reciprocal of square-root, \( \frac{1}{\sqrt{x}} \)

a_f64	a_f64_rsqrt (a_f64 x)

a_real	a_real_asinh (a_real x)

a_real	a_real_acosh (a_real x)

a_real	a_real_atanh (a_real x)

a_real	a_real_expm1 (a_real x)

a_real	a_real_log1p (a_real x)

a_real	a_real_atan2 (a_real y, a_real x)

a_real	a_real_norm2 (a_real x, a_real y)

a_real	a_real_norm3 (a_real x, a_real y, a_real z)

a_real	a_real_norm (a_size n, a_real const *p)
	calculate the magnitude of a vector

a_real	a_real_norm_ (a_size n, a_real const *p, a_size c)

a_real	a_real_sum (a_size n, a_real const *p)
	calculate the sum of a float array

a_real	a_real_sum_ (a_size n, a_real const *p, a_size c)

a_real	a_real_sum1 (a_size n, a_real const *p)
	calculate the absolute sum of a float array

a_real	a_real_sum1_ (a_size n, a_real const *p, a_size c)

a_real	a_real_sum2 (a_size n, a_real const *p)
	calculate the sum of squares of a float array

a_real	a_real_sum2_ (a_size n, a_real const *p, a_size c)

a_real	a_real_mean (a_size n, a_real const *p)
	calculate the mean of a float array

a_real	a_real_mean_ (a_size n, a_real const *p, a_size c)

a_real	a_real_dot (a_size n, a_real const X, a_real const Y)
	compute the dot product of two vectors.

a_real	a_real_dot_ (a_size n, a_real const X, a_size Xc, a_real const Y, a_size Yc)
	compute the dot product of two vectors.

void	a_real_copy (a_size n, a_real __restrict dst, a_real const __restrict src)
	copy `n` elements from the source array `src` to the destination array `dst`.

void	a_real_copy_ (a_size n, a_real dst, a_size dc, a_real const src, a_size sc)

void	a_real_swap (a_size n, a_real __restrict lhs, a_real __restrict rhs)
	swap two different a_real blocks of the same size

void	a_real_swap_ (a_size n, a_real lhs, a_size lc, a_real rhs, a_size rc)

void	a_real_fill (a_size n, a_real *p, a_real v)
	fill an array of `a_real` numbers with a specified value.

void	a_real_zero (a_size n, a_real *p)
	set all elements of an array of `a_real` numbers to zero.

void	a_real_push_fore (a_real *p, a_size n, a_real x)
	push an element into the front of a float array

void	a_real_push_back (a_real *p, a_size n, a_real x)
	push an element into the end of a float array

void	a_real_push_fore_ (a_real block_p, a_size block_n, a_real const cache_p, a_size cache_n)
	push the elements into the front of a float array

void	a_real_push_back_ (a_real block_p, a_size block_n, a_real const cache_p, a_size cache_n)
	push the elements into the end of a float array

void	a_real_roll_fore (a_real *p, a_size n)
	roll forward the elements of a float array circularly

void	a_real_roll_back (a_real *p, a_size n)
	roll backward the elements of a float array circularly

void	a_real_roll_fore_ (a_real block_p, a_size block_n, a_real shift_p, a_size shift_n)
	roll forward the elements of a float array circularly

void	a_real_roll_back_ (a_real block_p, a_size block_n, a_real shift_p, a_size shift_n)
	roll backward the elements of a float array circularly

Detailed Description

mathematical algorithm library

Macros

Functions

Detailed Description