Curve Class

[SerializableAttribute]
public abstract class Curve : ICloneable

<SerializableAttribute>
Public MustInherit Class Curve
	Implements ICloneable

[SerializableAttribute]
public ref class Curve abstract : ICloneable

[<AbstractClassAttribute>]
[<SerializableAttribute>]
type Curve =  
    class
        interface ICloneable
    end

The Curve type exposes the following members.

	Name	Description
	Curve	Constructs a new curve with the specified number of parameters.

	Name	Description
	Parameters	Gets the collection of parameters that determine the shape of this Curve.

	Name	Description
	Clone	Constructs an exact copy of this instance.
	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.
	GetCurveFitter	Returns a CurveFitter object that can be used to fit the curve to data.
	GetDerivative	Returns a Curve that represents the derivative of this Curve.
	GetHashCode	Serves as the default hash function. (Inherited from Object.)
	GetType	Gets the Type of the current instance. (Inherited from Object.)
	Integral	Gets the definite integral of the curve between the specified X-coordinates.
	MemberwiseClone	Creates a shallow copy of the current Object. (Inherited from Object.)
	OnParameterChanged	Called after a Curve parameter has been changed.
	OnParameterChanging	Called before the value of a curve parameter is changed.
	SetParameter	Sets a curve parameter to the specified value.
	SlopeAt	Gets the slope of the curve at the specified X-coordinate.
	Solve	Finds the x value where the curve reaches the specified y value.
	TangentAt	Gets the tangent line to the curve at the specified X-coordinate.
	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.

The Curve class is the base class for classes that represent curves in two-dimensional space. It defines common properties and methods for all such classes. Derived classes provide implementations for specific types of curves.

The name 'Curve' was chosen as an alternative to 'Function', which is a reserved word in many languages.

The ValueAt(Double) method evaluates the curve at a specific point. SlopeAt(Double) evaluates the derivative, and Integral(Double, Double) evaluates the definite integral over a specified interval. If overridden by a descendant class, the GetDerivative method returns the Curve that is the derivative of the instance. The FindRoots method attempts to find all the roots or zeros of the curve.

A particular type of curve is defined by a set of parameters. These parameters can be set and retrieved through the Parameters property which is a vector. The number of such parameters is given by the Length property of the Parameters property.

Curve is an abstract base class and cannot be instantiated directly. The following derived classes have been defined:

Notes to inheritors: When you derive from Curve, you must override the following member: ValueAt(Double). You should also override the following members: SlopeAt(Double), Integral(Double, Double), FindRoots, and GetDerivative.

Reference