legendre.cc File Reference

Legendre quadrature, polynomials and scaling functions. More...

#include <iostream>
#include <cmath>
#include <madness/mra/legendre.h>
#include <madness/tensor/tensor.h>

Include dependency graph for legendre.cc:

Namespaces
namespace	madness
	Namespace for all elements and tools of MADNESS.

Functions
bool	madness::gauss_legendre (int n, double xlo, double xhi, double *x, double *w)
bool	madness::gauss_legendre_numeric (int n, double xlo, double xhi, double *x, double *w)
	Compute the Gauss-Legendre quadrature points and weights.
bool	madness::gauss_legendre_test (bool print)
void	madness::initialize_legendre_stuff ()
	Call this single threaded to initialize static data (used read only by multiple threads)
void	madness::legendre_polynomials (double x, long order, double *p)
	Evaluate the Legendre polynomials up to the given order at x in [-1,1].
void	madness::legendre_scaling_functions (double x, long k, double *p)
	Evaluate the first k Legendre scaling functions.
void	madness::load_quadrature (World &world, const char *dir)
	Collective routine to pre-load and cache the quadrature points and weights.
static bool	madness::read_data ()
	read_data loads the precomputed Gauss-Legendre data
static double	madness::testf (int n, double x)

Variables
static bool	madness::data_is_read = false
static const char *	madness::filename = "gaussleg"
static const int	madness::max_npt = 64
static double	madness::nn1 [100]
static double	madness::phi_norms [100]
static Tensor< double >	madness::points [max_npt+1]
static Tensor< double >	madness::weights [max_npt+1]

Detailed Description

Legendre quadrature, polynomials and scaling functions.