celeritas::RegulaFalsiRootFinder< F > Class Template Reference

Find a local root using the Regula Falsi algorithm. More...

#include <RegulaFalsiRootFinder.hh>

Public Member Functions
CELER_FUNCTION	RegulaFalsiRootFinder (F &&func, real_type tol)
	Construct from function.
CELER_FUNCTION real_type	operator() (real_type left, real_type right)
	Solve for a root between the two points.

Detailed Description

template<class F>
class celeritas::RegulaFalsiRootFinder< F >

Find a local root using the Regula Falsi algorithm.

Using left bound \( x_l \) and right bound \( x_r \), Regula Falsi approximates the root x' as

\[ x' = \frac{x_l * f(x_r) - x_r * f(x_l)}{f(x_r) f(x_l)} \]

Then value of f at the root is calculated compared to values of f at the bounds. The root is then used to update the bounds based on the sign of \( f(x') \) and whether it matches the sign of \( f(x_l) \) or \( f(x_r) \) .

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The documentation for this class was generated from the following file:

• RegulaFalsiRootFinder.hh