Collaboration diagram for mathematical algorithm library:

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)

Functions
float	a_f32_rsqrt (float x)
	reciprocal of square-root, \( \frac{1}{\sqrt{x}} \)

double	a_f64_rsqrt (double x)

uint16_t	a_u32_sqrt (uint32_t x)
	square root of an unsigned integer

uint32_t	a_u64_sqrt (uint64_t x)

Detailed Description

Macro Definition Documentation

◆ A_1_PI

#define A_1_PI 0.318309886183790671538

\( \frac{1}{\pi} \)

◆ A_1_TAU

#define A_1_TAU 0.159154943091895335769

\( \frac{1}{2\pi} \)

◆ A_2_PI

#define A_2_PI 0.636619772367581343076

\( \frac{2}{\pi} \)

◆ A_2_SQRTPI

#define A_2_SQRTPI 1.12837916709551257390

\( \frac{2}{\sqrt{\pi}} \)

◆ A_E

#define A_E 2.71828182845904523536

\( e \)

◆ A_LN10

#define A_LN10 2.30258509299404568402

\( \ln{10} \)

◆ A_LN1_10

#define A_LN1_10 0.434294481903251827651

\( \frac{1}{\ln{10}} \)

◆ A_LN1_2

#define A_LN1_2 3.32192809488736218171

\( \frac{1}{\ln{2}} \)

◆ A_LN2

#define A_LN2 0.693147180559945309417

\( \ln{2} \)

◆ A_LOG10E

#define A_LOG10E 0.434294481903251827651

\( \lg{e}=\frac{1}{\ln{2}+\ln{5}} \)

◆ A_LOG2E

#define A_LOG2E 1.44269504088896340736

\( \log_{2}{e}=\frac{1}{\ln{2}} \)

◆ A_PI

#define A_PI 3.14159265358979323846

\( \pi \)

◆ A_PI_2

#define A_PI_2 1.57079632679489661923

\( \frac{\pi}{2} \)

◆ A_PI_4

#define A_PI_4 0.785398163397448309616

\( \frac{\pi}{4} \)

◆ A_SQRT1_2

#define A_SQRT1_2 0.707106781186547524401

\( \frac{1}{\sqrt{2}}=\frac{\sqrt{2}}{2} \)

◆ A_SQRT1_3

#define A_SQRT1_3 0.57735026918962576450

\( \frac{1}{\sqrt{3}}=\frac{\sqrt{3}}{3} \)

◆ A_SQRT2

#define A_SQRT2 1.41421356237309504880

\( \sqrt{2} \)

◆ A_SQRT3

#define A_SQRT3 1.73205080756887729352

\( \sqrt{3} \)

◆ A_TAU

#define A_TAU 6.28318530717958647693

\( 2\pi \)

Function Documentation

◆ a_f32_rsqrt()

float a_f32_rsqrt ( float x )

reciprocal of square-root, \( \frac{1}{\sqrt{x}} \)

http://en.wikipedia.org/wiki/Fast_inverse_square_root

Parameters

[in] x independent variable

Returns: calculated result

◆ a_u32_sqrt()

uint16_t a_u32_sqrt ( uint32_t x )

square root of an unsigned integer