PiecewiseCurve Class

Extreme Optimization Numerical Libraries for .NET Professional

Represents a curve that has different expressions on different intervals within its domain.

Inheritance Hierarchy

SystemObject
  Extreme.Mathematics.CurvesCurve
    Extreme.Mathematics.CurvesPiecewiseCurve
      Extreme.Mathematics.CurvesCubicSpline
      Extreme.Mathematics.CurvesPiecewiseConstantCurve
      Extreme.Mathematics.CurvesPiecewiseLinearCurve

Namespace: Extreme.Mathematics.Curves
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.1

Syntax

C++

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public abstract class PiecewiseCurve : Curve

Public MustInherit Class PiecewiseCurve
	Inherits Curve

public ref class PiecewiseCurve abstract : public Curve

[<AbstractClassAttribute>]
type PiecewiseCurve =  
    class
        inherit Curve
    end

The PiecewiseCurve type exposes the following members.

Constructors

	Name	Description
	PiecewiseCurve(Double, Double)	Constructs a new PiecewiseCurve object.
	PiecewiseCurve(IListPoint, IListDouble)	Constructs a new PiecewiseCurve object.
	PiecewiseCurve(IListPoint, Double)	Constructs a new PiecewiseCurve object.
	PiecewiseCurve(Double, Double, Double)	Constructs a new PiecewiseCurve object.
	PiecewiseCurve(IListDouble, IListDouble, IListDouble)	Constructs a new PiecewiseCurve object.
	PiecewiseCurve(IListDouble, IListDouble, Double)	Constructs a new PiecewiseCurve object.

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Properties

	Name	Description
	NumberOfIntervals	Gets the number of intervals that make up this PiecewiseCurve.
	Parameters	Gets the collection of parameters that determine the shape of this Curve. (Inherited from Curve.)

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Methods

	Name	Description
	Clone	Constructs an exact copy of this instance. (Inherited from Curve.)
	Equals	Determines whether the specified object is equal to the current object. (Inherited from Object.)
	Finalize	Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object.)
	FindRoots	Gets the set of X-coordinates where the curve crosses the X-axis. (Inherited from Curve.)
	GetCurveFitter	Returns a CurveFitter object that can be used to fit the curve to data. (Inherited from Curve.)
	GetDataPoint	Gets the data point with the specified index.
	GetDerivative	Returns a Curve that represents the derivative of this Curve. (Inherited from Curve.)
	GetHashCode	Serves as the default hash function. (Inherited from Object.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	GetXValue	Returns the X value of the data point with the specified index.
	GetYValue	Returns the Y value of the data point with the specified index.
	IndexOf	Finds the index of the lower bound of the interval that contains the specfied value.
	Integral	Gets the definite integral of the curve between the specified X-coordinates. (Overrides CurveIntegral(Double, Double).)
	IntegrateOnInterval(Int32)	Returns the value of the integral over the interval with the specified index.
	IntegrateOnInterval(Int32, Double, Double)	Returns the integral of the curve over a single interval.
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	OnParameterChanged	Called after a Curve parameter has been changed. (Inherited from Curve.)
	OnParameterChanging	Called before the value of a curve parameter is changed. (Overrides CurveOnParameterChanging(Int32, Double).)
	SetDataPoint	Sets the X value of the data point with the specified index.
	SetDataPoints	Sets the data points at the specified indexes.
	SetParameter	Sets a curve parameter to the specified value. (Inherited from Curve.)
	SetXValue	Sets the X value of the data point with the specified index.
	SetXValues	Sets the X values at the specified indexes.
	SetYValue	Sets the Y value of the data point with the specified index.
	SetYValues	Sets the Y values at the specified indexes.
	SlopeAt	Gets the slope of the curve at the specified X-coordinate. (Inherited from Curve.)
	Solve	Finds the x value where the curve reaches the specified y value. (Inherited from Curve.)
	TangentAt	Gets the tangent line to the curve at the specified X-coordinate. (Inherited from Curve.)
	ToString	Returns a string that represents the current object. (Inherited from Object.)
	ValueAt	Gets the Y-value of the curve at the specified X-coordinate. (Inherited from Curve.)

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Remarks

This is an abstract base class and cannot be instantiated directly. Instead, use one of the derived classes as listed in the following table:

PiecewiseConstantCurve	Represents a curve that is piecewise constant.
PiecewiseLinearCurve	Represents a piecewise linear function.
CubicSpline	Represents a natural or clamped cubic spline curve, a piecewise 3rd degree polynomial with smoothness and continuity properties.

Reference

Extreme.Mathematics.Curves Namespace

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