Rational
Definition
Assembly: Numerics.NET (in Numerics.NET.dll) Version: 9.0.3
public class RationalCurve : NonlinearCurve- Inheritance
- Object → Curve → NonlinearCurve → RationalCurve
Remarks
Use the RationalCurve class to represent a rational function that can be used in non-linear least squares fitting.
A rational curve is a quotient of two polynomials. The degree of the polynomials must be specified when the curve is constructed. A rational curve has n+d+1 parameters, where n is the degree of the polynomial in the numerator, and d is the degree of the polynomial in the denominator. The first n+1 parameters are the coefficients of the polynomial in the numerator, starting with the constant term. The remaining d parameters are the coefficients of the polynomial in the denominator, starting with the linear term. The polynomial in the denominator always has constant term 1.
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For details on how to fit a curve of this type, see the NonlinearCurveFitter class.
Constructors
| Rational | Constructs a new RationalCurve with the specified degrees in the numerator and the denominator. |
Properties
| Degree | Gets the degree of the polynomial of the denominator of the curve. |
| Degree | Gets the degree of the polynomial of the numerator of the curve. |
| 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) |
| Fill |
Fills a dense vector with the partial derivatives of the curve with respect to
each of the curve parameters computed using numerical differentiation.
(Inherited from NonlinearCurve) |
| Fill |
Fills a dense vector with the partial derivatives of the curve with respect to
each of the curve parameters.
(Overrides NonlinearCurve.FillPartialDerivatives(Double, DenseVector<Double>)) |
| Finalize | Allows an object to try to free resources and perform other cleanup operations before it is reclaimed by garbage collection. (Inherited from Object) |
| Find |
Gets the set of X-coordinates where the curve crosses
the X-axis.
(Overrides Curve.FindRoots()) |
| Get |
Returns a CurveFitter object that can be used to fit the curve to data.
(Inherited from NonlinearCurve) |
| Get |
Returns a Curve that represents the derivative
of this Curve.
(Inherited from Curve) |
| Get | Serves as the default hash function. (Inherited from Object) |
| Get |
Returns a vector containing initial values for the parameters for a curve fit
through on the specified data.
(Inherited from NonlinearCurve) |
| Get |
Returns a vector with the partial derivatives
of the curve with respect to each of the curve parameters.
(Inherited from NonlinearCurve) |
| Get | 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) |
| Memberwise | Creates a shallow copy of the current Object. (Inherited from Object) |
| OnParameter |
Called after a Curve parameter has been changed.
(Inherited from Curve) |
| OnParameter |
Called before the value of a curve parameter is changed.
(Inherited from Curve) |
| Set |
Sets a curve parameter to the specified value.
(Inherited from Curve) |
| Slope |
Gets the slope of the curve at the specified
X-coordinate.
(Overrides Curve.SlopeAt(Double)) |
| Solve |
Finds the x value where the curve reaches the specified y value.
(Inherited from Curve) |
| Tangent |
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) |
| Value |
Gets the Y-value of the curve at the specified
X-coordinate.
(Overrides Curve.ValueAt(Double)) |