NonlinearCurve Class

Represents a Curve that can be used for a non-linear regression calculation.

Definition

Namespace: Extreme.Mathematics.Curves
Assembly: Extreme.Numerics (in Extreme.Numerics.dll) Version: 8.1.23

public abstract class NonlinearCurve : Curve

Visual Basic

Public MustInherit Class NonlinearCurve
	Inherits Curve

C++/CLI

public ref class NonlinearCurve abstract : public Curve

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

Inheritance: Object → Curve → NonlinearCurve

Derived: Extreme.Mathematics.Curves.Nonlinear.ExponentialCurve
Extreme.Mathematics.Curves.Nonlinear.FiveParameterLogisticCurve
Extreme.Mathematics.Curves.Nonlinear.FourParameterLogisticCurve
Extreme.Mathematics.Curves.Nonlinear.GaussianCurve
Extreme.Mathematics.Curves.Nonlinear.LorentzCurve
Extreme.Mathematics.Curves.Nonlinear.RationalCurve
Extreme.Mathematics.Curves.Nonlinear.SineCurve
More Less

Remarks

Use the NonlinearCurve class to represent a curve suitable for use in a non-linear curve fitting. The NonlinearCurveFitter class works only with curves that derive from NonlinearCurve. See this class for details on how to perform a least squares fit.

NonlinearCurve is an abstract class and cannot be instantiated directly. Instead, derive your own class from NonlinearCurve, or use one of the predefined classes listed in the following table:

Class	Description
ExponentialCurve	A sum of exponential terms.
FourParameterLogisticCurve	A standard 4-parameter logistic curve.
FiveParameterLogisticCurve	A 5-parameter logistic curve that includes an asymmetry factor.
GaussianCurve	A 4-parameter Gaussian 'bell' curve.
LorentzCurve	A 4-parameter Lorentz peak curve.
RationalCurve	A quotient of two polynomials.
SineCurve	A 4-parameter periodic curve.

Note to inheritors: You must override the ValueAt(Double) method. If possible, you should also override the FillPartialDerivatives(Double, DenseVector<Double>) and SlopeAt(Double) methods. By default, a numerical approximation is used as the derivative.

Constructors

NonlinearCurve

Constructs a new NonlinearCurve object.

Properties

Parameters

Gets the collection of parameters that determine the shape of this Curve.
(Inherited from Curve)

Methods

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)
FillNumericalPartialDerivatives	Fills a dense vector with the partial derivatives of the curve with respect to each of the curve parameters computed using numerical differentiation.
FillPartialDerivatives	Fills a dense vector with the partial derivatives of the curve with respect to each of the curve parameters.
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)
FromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
FromExpression(Expression<Func<Double, Double>>)	Returns a nonlinear curve defined by the specified expression.
GetCurveFitter	Returns a CurveFitter object that can be used to fit the curve to data. (Overrides Curve.GetCurveFitter())
GetDerivative	Returns a Curve that represents the derivative of this Curve. (Inherited from Curve)
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetGeneratorFromExpression(Expression<Func<Double, Double>>)	Returns a function that on each call returns a new nonlinear curve defined by the specified expression.
GetHashCode	Serves as the default hash function. (Inherited from Object)
GetInitialFitParameters	Returns a vector containing initial values for the parameters for a curve fit through on the specified data.
GetPartialDerivatives	Returns a vector with the partial derivatives of the curve with respect to each of the curve parameters.
GetType	Gets the Type of the current instance. (Inherited from Object)
Integral	Gets the definite integral of the curve between the specified X-coordinates. (Inherited from Curve)
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. (Inherited from Curve)
SetInitialValues	Sets the curve parameters to initial values based on the specified data. Obsolete.
SetParameter	Sets a curve parameter to the specified value. (Inherited from Curve)
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)