fr.cnes.sirius.patrius.math.analysis

Class ErrorEvaluationFunctionUtils

java.lang.Object

fr.cnes.sirius.patrius.math.analysis.ErrorEvaluationFunctionUtils

public final class ErrorEvaluationFunctionUtils
extends Object

A collection of static methods that evaluate UnivariateFunction functions errors.

Method Summary

Modifier and Type	Method and Description
static double	getNormInf(double[] abscissas, double[] functionValues, UnivariateFunction approximatedFunction) Compute the L∞ norm (worst value) between the function to evaluate and the approximated function at the considered abscissas.
static double	getNormInf(UnivariateFunction function, UnivariateFunction approximatedFunction, double[] abscissas) Compute the L∞ norm (worst value) between the function to evaluate and the approximated function at the considered abscissas.
static double	getStandardDeviation(double[] abscissas, double[] functionValues, UnivariateFunction approximatedFunction) Compute the standard deviation σ between the function to evaluate and the approximated function at the considered abscissas.
static double	getStandardDeviation(UnivariateFunction function, UnivariateFunction approximatedFunction, double[] abscissas) Compute the standard deviation σ between the function to evaluate and the approximated function at the considered abscissas.

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Method Detail

getStandardDeviation

public static double getStandardDeviation(UnivariateFunction function,
                                          UnivariateFunction approximatedFunction,
                                          double[] abscissas)

Compute the standard deviation σ between the function to evaluate and the approximated function at the considered abscissas.

Note: the standard deviation isn't computed (return Double.NaN) if the function or the approximated function have Double.NaN values.

Parameters:

function - Function to evaluate

approximatedFunction - Approximated function

abscissas - Abscissas to considered

Returns:

the standard deviation σ

getStandardDeviation

public static double getStandardDeviation(double[] abscissas,
                                          double[] functionValues,
                                          UnivariateFunction approximatedFunction)

Compute the standard deviation σ between the function to evaluate and the approximated function at the considered abscissas.

Note: the standard deviation isn't computed (return Double.NaN) if the function or the approximated function have Double.NaN values.

Parameters:

abscissas - Abscissas to considered

functionValues - Function values at the specified abscissas

approximatedFunction - Approximated function

Returns:

the standard deviation σ

Throws:

DimensionMismatchException - if abscissas and functionValues do not have the same length

getNormInf

public static double getNormInf(UnivariateFunction function,
                                UnivariateFunction approximatedFunction,
                                double[] abscissas)

Compute the L_∞ norm (worst value) between the function to evaluate and the approximated function at the considered abscissas.

Note: the L_∞ norm isn't computed (return Double.NaN) if the function or the approximated function have Double.NaN values.

Parameters:

function - Function to evaluate

approximatedFunction - Approximated function

abscissas - Abscissas to considered

Returns:

L_∞ norm

getNormInf

public static double getNormInf(double[] abscissas,
                                double[] functionValues,
                                UnivariateFunction approximatedFunction)

Compute the L_∞ norm (worst value) between the function to evaluate and the approximated function at the considered abscissas.

Note: the L_∞ norm isn't computed (return Double.NaN) if the function or the approximated function have Double.NaN values.

Parameters:

abscissas - Abscissas to considered

functionValues - Function values at the specified abscissas

approximatedFunction - Approximated function

Returns:

L_∞ norm

Throws:

DimensionMismatchException - if abscissas and functionValues do not have the same length