io.github.msdk.featuredetection.adap3d.algorithms

Class Math

java.lang.Object

io.github.msdk.featuredetection.adap3d.algorithms.Math

public class Math
extends Object

This class contains mathematical functions

Author:

aleksandrsmirnov Modified by Dharak Shah to include in MSDK

Constructor Summary

Constructors

Constructor and Description
Math()

Method Summary

Modifier and Type	Method and Description
static double	continuous_dot_product(Map<Double,Double> f1, Map<Double,Double> f2) continuous_dot_product.
static double	continuous_dot_product(NavigableMap<Double,Double> f1, NavigableMap<Double,Double> f2) continuous_dot_product.
static double	convolution(NavigableMap<Double,Double> f1, NavigableMap<Double,Double> f2, double shift) Convolution of two functions
static NavigableMap<Double,Double>	differentiate(NavigableMap<Double,Double> func) Find derivative of func using two-sided rule for the central points and one-sided rule for the end-points
static double	discrete_dot_product(Map<Double,Double> f1, Map<Double,Double> f2, double tolerance) discrete_dot_product.
static double	discrete_dot_product(NavigableMap<Double,Double> f1, NavigableMap<Double,Double> f2, double tolerance) discrete_dot_product.
static double	integrate(NavigableMap<Double,Double> func) integrate.
static double	interpolate(double x_value, NavigableMap<Double,Double> y_values) interpolate.
static double[]	interpolate(SortedSet<Double> x_values, NavigableMap<Double,Double> y_values) interpolate.
static NavigableMap<Double,Double>	linearCombination(List<NavigableMap<Double,Double>> functions, double[] coefficients) linearCombination.
static double	pearson_correlation(NavigableMap<Double,Double> f1, NavigableMap<Double,Double> f2) pearson_correlation.
static NavigableMap<Double,Double>	scale(NavigableMap<Double,Double> func, double scale) Multiplies function by scale

Methods inherited from class java.lang.Object

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

Constructor Detail

Math

public Math()

Method Detail

interpolate

public static double[] interpolate(SortedSet<Double> x_values,
                                   NavigableMap<Double,Double> y_values)

interpolate.

Parameters:

x_values - a SortedSet object.

y_values - a NavigableMap object.

Returns:

an array of double.

interpolate

public static double interpolate(double x_value,
                                 NavigableMap<Double,Double> y_values)

interpolate.

Parameters:

x_value - a double.

y_values - a NavigableMap object.

Returns:

a double.

continuous_dot_product

public static double continuous_dot_product(NavigableMap<Double,Double> f1,
                                            NavigableMap<Double,Double> f2)

continuous_dot_product.

Parameters:

f1 - a NavigableMap object.

f2 - a NavigableMap object.

Returns:

a double.

continuous_dot_product

public static double continuous_dot_product(Map<Double,Double> f1,
                                            Map<Double,Double> f2)

continuous_dot_product.

Parameters:

f1 - a Map object.

f2 - a Map object.

Returns:

a double.

pearson_correlation

public static double pearson_correlation(NavigableMap<Double,Double> f1,
                                         NavigableMap<Double,Double> f2)

pearson_correlation.

Parameters:

f1 - a NavigableMap object.

f2 - a NavigableMap object.

Returns:

a double.

integrate

public static double integrate(NavigableMap<Double,Double> func)

integrate.

Parameters:

func - a NavigableMap object.

Returns:

a double.

discrete_dot_product

public static double discrete_dot_product(NavigableMap<Double,Double> f1,
                                          NavigableMap<Double,Double> f2,
                                          double tolerance)

discrete_dot_product.

Parameters:

f1 - a NavigableMap object.

f2 - a NavigableMap object.

tolerance - a double.

Returns:

a double.

discrete_dot_product

public static double discrete_dot_product(Map<Double,Double> f1,
                                          Map<Double,Double> f2,
                                          double tolerance)

discrete_dot_product.

Parameters:

f1 - a Map object.

f2 - a Map object.

tolerance - a double.

Returns:

a double.

differentiate

public static NavigableMap<Double,Double> differentiate(NavigableMap<Double,Double> func)

Find derivative of func using two-sided rule for the central points and one-sided rule for the end-points

Parameters:

func - a NavigableMap object.

Returns:

a NavigableMap object.

convolution

public static double convolution(NavigableMap<Double,Double> f1,
                                 NavigableMap<Double,Double> f2,
                                 double shift)

Convolution of two functions

Parameters:

f1 - a NavigableMap object.

f2 - a NavigableMap object.

shift - a double.

Returns:

a double.

scale

public static NavigableMap<Double,Double> scale(NavigableMap<Double,Double> func,
                                                double scale)

Multiplies function by scale

Parameters:

func - a NavigableMap object.

scale - a double.

Returns:

a NavigableMap object.

linearCombination

public static NavigableMap<Double,Double> linearCombination(List<NavigableMap<Double,Double>> functions,
                                                            double[] coefficients)

linearCombination.

Parameters:

functions - a List object.

coefficients - an array of double.

Returns:

a NavigableMap object.