s2let_math.c File Reference

#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <time.h>
#include "s2let.h"

Include dependency graph for s2let_math.c:

Functions
double	f_s2dw (double k, double B)
double	f_needlet (double t)
double	b3_spline (double x)
double	s2let_math_spline_scalingfct (double x, double y)
double	s2let_math_kappa0_quadtrap_s2dw (double a, double b, int n, double B)
double	s2let_math_kappa0_quadtrap_needlet (double a, double b, int n)
double	ran2_dp (int idum)
double	maxerr_cplx (complex double *a, complex double *b, int size)
double	maxerr (double *a, double *b, int size)
unsigned long	binomial_coefficient (int n, int k, int exact)

Function Documentation

b3_spline()

double b3_spline

(

double

x

)

Computes cubis B-spline function

binomial_coefficient()

unsigned long binomial_coefficient	(	int	n,
		int	k,
		int	exact
	)

Computes the binomial coefficient "n choose k".

Parameters

[in]	n	Number of elements to choose from
[in]	k	Number of elements to pick
[in]	exact	0 for approximate computation 1 for exact computation

Return values

Number

of possible subsets

exact implementation

f_needlet()

double f_needlet

(

double

t

)

Tiling function for needlets

f_s2dw()

double f_s2dw	(	double	k,
		double	B
	)

Tiling function for S2DW wavelets

maxerr()

double maxerr	(	double *	a,
		double *	b,
		int	size
	)

Max absolute error between two real arrays

maxerr_cplx()

double maxerr_cplx	(	complex double *	a,
		complex double *	b,
		int	size
	)

Max absolute error between two complex arrays

ran2_dp()

double ran2_dp

(

int

idum

)

Random number from seed (Numerical Recipes).

s2let_math_kappa0_quadtrap_needlet()

double s2let_math_kappa0_quadtrap_needlet	(	double	a,
		double	b,
		int	n
	)

Computes smooth "Schwartz" functions for needlets

s2let_math_kappa0_quadtrap_s2dw()

double s2let_math_kappa0_quadtrap_s2dw	(	double	a,
		double	b,
		int	n,
		double	B
	)

Computes smooth "Schwartz" functions for scale-discretised wavelets

s2let_math_spline_scalingfct()

double s2let_math_spline_scalingfct	(	double	x,
		double	y
	)

Computes spline scaling function