dev.nm.analysis.curvefit.interpolation.univariate

Enum CubicHermite.Tangents

java.lang.Object

java.lang.Enum<CubicHermite.Tangents>

dev.nm.analysis.curvefit.interpolation.univariate.CubicHermite.Tangents

All Implemented Interfaces:

CubicHermite.Tangent, Serializable, Comparable<CubicHermite.Tangents>

Enclosing class:

CubicHermite

public static enum CubicHermite.Tangents
extends Enum<CubicHermite.Tangents>
implements CubicHermite.Tangent

Enum Constant Summary

Enum Constants

Enum Constant and Description
CATMULL_ROM Catmull-Rom splines are a special case of Cardinal splines and are defined as: \[ (\frac{\partial y}{\partial x})_k = \frac{y_{k+1} - y_{k-1}}{x_{k+1} - x_{k-1}}
FINITE_DIFFERENCE The simplest choice is the three-point difference, not requiring constant interval lengths.

Method Summary

Modifier and Type	Method and Description
static CubicHermite.Tangents	valueOf(String name) Returns the enum constant of this type with the specified name.
static CubicHermite.Tangents[]	values() Returns an array containing the constants of this enum type, in the order they are declared.

Methods inherited from class java.lang.Enum

clone, compareTo, equals, finalize, getDeclaringClass, hashCode, name, ordinal, toString, valueOf

Methods inherited from class java.lang.Object

getClass, notify, notifyAll, wait, wait, wait

Methods inherited from interface dev.nm.analysis.curvefit.interpolation.univariate.CubicHermite.Tangent

tangentAt

Enum Constant Detail

CATMULL_ROM

public static final CubicHermite.Tangents CATMULL_ROM

Catmull-Rom splines are a special case of Cardinal splines and are defined as: \[ (\frac{\partial y}{\partial x})_k = \frac{y_{k+1} - y_{k-1}}{x_{k+1} - x_{k-1}}. \] At the boundaries, two adjacent points are used instead.

See Also:

Wikipedia: Cubic Hermite spline - Catmull-Rom spline

FINITE_DIFFERENCE

public static final CubicHermite.Tangents FINITE_DIFFERENCE

The simplest choice is the three-point difference, not requiring constant interval lengths. The tangent at point k is defined as: \[ m_k = \frac{y_{k+1}-y_k}{2(x_{k+1}-x_{k})} + \frac{y_k-y_{k-1}}{2(x_k-x_{k-1})} \] for internal points, and one-sided difference at the endpoints.

See Also:

Wikipedia: Cubic Hermite spline - Finite difference

Method Detail

values

public static CubicHermite.Tangents[] values()

Returns an array containing the constants of this enum type, in the order they are declared. This method may be used to iterate over the constants as follows:

for (CubicHermite.Tangents c : CubicHermite.Tangents.values())
    System.out.println(c);

Returns:

an array containing the constants of this enum type, in the order they are declared

valueOf

public static CubicHermite.Tangents valueOf(String name)

Returns the enum constant of this type with the specified name. The string must match exactly an identifier used to declare an enum constant in this type. (Extraneous whitespace characters are not permitted.)

Parameters:

name - the name of the enum constant to be returned.

Returns:

the enum constant with the specified name

Throws:

IllegalArgumentException - if this enum type has no constant with the specified name

NullPointerException - if the argument is null