til::math Namespace Reference

Namespace for misc. math definitions. More...

Namespaces
	policy

Classes
class	Gaussian
	Unnormalized Gaussian. More...
class	IsotropicGaussianKernel
	Unnormalized isotropic Gaussian kernel. More...
class	PolySolver_real
	Find real roots of a polynomial. More...

Functions
INLINE double	sinc (double x)
	sinus cardinal More...
INLINE double	dsinc (double x)
	first derivative of sinc More...
INLINE double	d2sinc (double x)
	second derivative of sinc More...
template<typename T >
T	huber (T x, T K)
	Huber's penalty function. More...
template<typename T >
T	d_huber (T x, T K)
	Derivative of Huber's penalty function. More...
template<typename T >
T	shrink (T x, T K)
	The shrink operator if |x| > K then x +/- K else 0. More...

Detailed Description

Namespace for misc. math definitions.

Function Documentation

d2sinc()

INLINE double til::math::d2sinc

(

double

x

)

second derivative of sinc

Definition at line 35 of file til_math.h.

d_huber()

template<typename T >

T til::math::d_huber ( T  x, T  K  )

inline

Derivative of Huber's penalty function.

2*x if |x| < K +/-2*K if |x| > K

dsinc()

INLINE double til::math::dsinc

(

double

x

)

first derivative of sinc

Definition at line 25 of file til_math.h.

huber()

template<typename T >

T til::math::huber ( T  x, T  K  )

inline

Huber's penalty function.

x^2 if |x| < K 2*K*|x| - K^2 if |x| > K

shrink()

template<typename T >

T til::math::shrink ( T  x, T  K  )

inline

The shrink operator if |x| > K then x +/- K else 0.

sinc()

INLINE double til::math::sinc

(

double

x

)

sinus cardinal

Definition at line 14 of file til_math.h.