Bisect3_lambda.cpp File Reference

#include <cassert>
#include <cmath>
#include <functional>
#include <iostream>
#include <vector>

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Functions
double	f (const double x)
	Calculates function \( f(x) = \sin(x) - \frac{x}{2} \). More...
double	g (const double x)
	Calculates function \( f(x) = -(x-1.234567)*(x+0.987654) \). More...
double	Bisect3 (const std::function< double(double)> &func, const double a, const double b, const double eps=1e-6)
	Returns one solution for the equation \( func(x) = 0 \) with \( x \in [a,b] \). More...
double	eval (vector< double > const &a, double x)
	Evaluates the polynom \( p(x) := a_n x^n + a_{n-1} x^{n-1} + \ldots a_1 x^1 + a_0 \) at point x. More...
int	main ()

Function Documentation

Bisect3()

double Bisect3	(	const std::function< double(double)> &	func,
		const double	a,
		const double	b,
		const double	eps = 1e-6
	)

Returns one solution for the equation \( func(x) = 0 \) with \( x \in [a,b] \).

The solution is determined by bisection.

Parameters

[in]	func	function with one double input parameter that returns a double value
[in]	a	interval begin
[in]	b	interval end
[in]	eps	accuracy \( \varepsilon \)

Returns

solution \( x^\ast\) such that \( |func(x^\ast)| < \varepsilon \)

Warning

{ \( func(a) \) and \( func(b) \) musst have different signs}

Definition at line 105 of file Bisect3_lambda.cpp.

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eval()

double eval	(	vector< double > const &	a,
		double	x
	)

Evaluates the polynom \( p(x) := a_n x^n + a_{n-1} x^{n-1} + \ldots a_1 x^1 + a_0 \) at point x.

Parameters

[in]	a	coefficients of polynom
[in]	x	evaluatuon point

Returns

\( p(x) \)

Definition at line 127 of file Bisect3_lambda.cpp.

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f()

double f

(

const double

x

)

Calculates function \( f(x) = \sin(x) - \frac{x}{2} \).

Parameters

[in]

x

position for funtion evaluation

Returns

function value

Definition at line 21 of file Bisect3_lambda.cpp.

g()

double g

(

const double

x

)

Calculates function \( f(x) = -(x-1.234567)*(x+0.987654) \).

Parameters

[in]

x

position for funtion evaluation

Returns

function value

Definition at line 32 of file Bisect3_lambda.cpp.

main()

int main

(

)

Definition at line 65 of file Bisect3_lambda.cpp.

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