integrator.hpp File Reference

Implementation of numerical integration routines. More...

#include <math.h>
#include <iostream>
#include "viennashe/forwards.h"
#include "viennashe/log/log.hpp"
#include "viennashe/math/log_keys.h"

Go to the source code of this file.

Classes
class	viennashe::math::IntMidPointRule
	Tag for the midpoint rule. More...
class	viennashe::math::IntTrapezoidalRule
	Tag for the trapezoidal rule. More...
class	viennashe::math::IntSimpsonRule
	Tag for the simpson rule. More...
class	viennashe::math::IntAdaptiveRule< IntRule >
	Tag for an adaptive integration rule. More...
class	viennashe::math::IntGauss< int_points >
	Gaussian integration rule. More...
class	viennashe::math::BindFirst< T >
	Binds the first argument of a function of functor to a certain value. More...
class	viennashe::math::BindSecond< T >
	Binds the second argument of a function or functor to a certain value. More...
class	viennashe::math::IntegrationBinder< T, IntRule >
	A binder for reducing an n-ary function to an n-1-ary function by integration over one variable. More...

Namespaces
namespace	viennashe
	The main ViennaSHE namespace. All functionality resides inside this namespace.
namespace	viennashe::math
	Namespace for all math specific code

Functions
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntMidPointRule)
	Integration of a function using the mid point rule. More...
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntTrapezoidalRule)
	Integration of a function using the trapezoidal rule. More...
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntSimpsonRule)
	Integration of a function using the simpson rule. More...
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntGauss< 1 >)
	Integration of a function using the Gauss rule, 1 evaluation node. More...
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntGauss< 2 >)
	Integration of a function using the Gauss rule, 2 evaluation nodes. More...
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntGauss< 3 >)
	Integration of a function using the Gauss rule, 3 evaluation nodes. More...
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntGauss< 4 >)
	Integration of a function using the Gauss rule, 4 evaluation nodes. More...
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntGauss< 5 >)
	Integration of a function using the Gauss rule, 5 evaluation nodes. More...
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntGauss< 6 >)
	Integration of a function using the Gauss rule, 6 evaluation nodes. More...
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntGauss< 7 >)
	Integration of a function using the Gauss rule, 7 evaluation nodes. More...
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntGauss< 8 >)
	Integration of a function using the Gauss rule, 8 evaluation nodes. More...
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntGauss< 9 >)
	Integration of a function using the Gauss rule, 9 evaluation nodes. More...
template<typename T >
double	viennashe::math::integrate (T const &f, double a, double b, IntGauss< 10 >)
	Integration of a function using the Gauss rule, 10 evaluation nodes. More...
template<typename T , typename U >
double	viennashe::math::integrate (T const &f, double a, double b, IntAdaptiveRule< U > adaptiverule, long recursion_depth=0)
	Integration of a function using an adaptive integration rule based on bisection of the integration interval. More...
template<typename T , typename IntRuleTag >
double	viennashe::math::integrate2D (double a1, double b1, double a2, double b2, T const &func2integrate, IntRuleTag)
	Convenience overload for two-dimensional integration. More...

Detailed Description

Implementation of numerical integration routines.

Will be replaced by functionality from ViennaMath in the future.

Definition in file integrator.hpp.