math::quadrature Namespace Reference

Numerical integration functions. More...

Functions
template<class UnaryOp , class InputIt >
std::invoke_result< UnaryOp, typename std::iterator_traits< InputIt >::value_type >::type	simpson (UnaryOp f, InputIt first, InputIt last)
	Approximates the definite integral of a function using Simpson's 1/3 rule. More...
template<class UnaryOp , class InputIt >
std::invoke_result< UnaryOp, typename std::iterator_traits< InputIt >::value_type >::type	trapezoid (UnaryOp f, InputIt first, InputIt last)
	Approximates the definite integral of a function using the trapezoidal rule. More...

Detailed Description

Numerical integration functions.

Function Documentation

simpson()

template<class UnaryOp , class InputIt >

std::invoke_result<UnaryOp, typename std::iterator_traits<InputIt>::value_type>::type math::quadrature::simpson	(	UnaryOp	f,
		InputIt	first,
		InputIt	last
	)

Approximates the definite integral of a function using Simpson's 1/3 rule.

Parameters

f	Unary function object to integrate.
first,last	Range of sample points on [first, last).

Returns

Approximated integral of f.

See also

https://en.wikipedia.org/wiki/Simpson%27s_rule

Definition at line 43 of file quadrature.hpp.

trapezoid()

template<class UnaryOp , class InputIt >

std::invoke_result<UnaryOp, typename std::iterator_traits<InputIt>::value_type>::type math::quadrature::trapezoid	(	UnaryOp	f,
		InputIt	first,
		InputIt	last
	)

Approximates the definite integral of a function using the trapezoidal rule.

Parameters

f	Unary function object to integrate.
first,last	Range of sample points on [first, last).

Returns

Approximated integral of f.

See also

https://en.wikipedia.org/wiki/Trapezoidal_rule

Definition at line 92 of file quadrature.hpp.