 | Natural |
Class NaturalCubicSpline represents a function determined by tabulated values.
Function values are calculated using natural cubic spline interpolation.
Inheritance HierarchySystemObject
CenterSpace.NMath.CoreOneVariableFunction
CenterSpace.NMath.CoreTabulatedFunction
CenterSpace.NMath.CoreCubicSpline
CenterSpace.NMath.CoreNaturalCubicSpline
CenterSpace.NMath.CoreOneVariableFunction
CenterSpace.NMath.CoreTabulatedFunction
CenterSpace.NMath.CoreCubicSpline
CenterSpace.NMath.CoreNaturalCubicSpline
Namespace: CenterSpace.NMath.Core
Assembly: NMath (in NMath.dll) Version: 7.4
SyntaxThe NaturalCubicSpline type exposes the following members.
Constructors| Name | Description | |
|---|---|---|
 | NaturalCubicSpline | Default constructor. |
| NaturalCubicSpline(DoubleVector, DoubleVector) | Constructs an instance of NaturalCubicSpline for the given paired vectors of x- and y-values. |
Properties| Name | Description | |
|---|---|---|
 | Differentiator |
Gets and sets the differentiation method object associated with this function.
(Inherited from OneVariableFunction) |
| Func |
Gets the function encapsulated by this object.
(Inherited from OneVariableFunction) |
| Integrator |
Gets and sets the integration method object associated with this function.
(Inherited from OneVariableFunction) |
| NumberOfTabulatedValues |
Gets the number of tabulated values.
(Inherited from TabulatedFunction) |
| SecondDerivativeAtControlPoints |
The second derivative at each control point of the cubic spline.
(Inherited from CubicSpline) |
Methods| Name | Description | |
|---|---|---|
| Clone |
Creates a deep copy of this natural cubic spline.
(Overrides OneVariableFunctionClone) |
 | CoreEvaluate | (Overrides CubicSplineCoreEvaluate(Double)) |
| Derivative |
Returns the first derivative of this function.
(Inherited from OneVariableFunction) |
| Differentiate |
Computes the numerical derivative of the current function at the given
x-value.
(Inherited from OneVariableFunction) |
| Evaluate(Double) |
Evaluates the current function at the given x-value.
(Inherited from OneVariableFunction) |
| Evaluate(DoubleVector) |
Evaluates the current function at the given set of x-values.
(Inherited from OneVariableFunction) |
| Evaluate(OneVariableFunction) |
Creates a composite function.
(Inherited from OneVariableFunction) |
| EvaluateWithCubicSpline | (Overrides CubicSplineEvaluateWithCubicSpline(Double)) |
| GetX |
Returns the value of the tabulated independent values at the specified
index.
(Inherited from TabulatedFunction) |
| GetXs |
Gets the x, or independent, values represented by this function.
(Inherited from TabulatedFunction) |
| GetXVector |
Gets the x, or independent, values represented by this function.
(Inherited from TabulatedFunction) |
| GetY |
Returns the value of the tabulated dependent values at the specified
index.
(Inherited from TabulatedFunction) |
| GetYs |
Gets the y, or dependent, values represented by this function.
(Inherited from TabulatedFunction) |
| GetYVector |
Gets the y, or dependent, values represented by this function.
(Inherited from TabulatedFunction) |
| Integrate |
Computes the integral of the current function over the specified
interval.
(Inherited from OneVariableFunction) |
| LinearInterpolation |
Handles the case when there are exactly two tabulated points.
(Overrides CubicSplineLinearInterpolation(Double)) |
| ParabolicInterpolation |
Handles the case when there are exactly three tabulated points.
(Overrides CubicSplineParabolicInterpolation(Double)) |
| ProcessTabulatedValues |
Calculates the values for the second derivatives. From "Numerical Recipes"
section 3.3
(Overrides TabulatedFunctionProcessTabulatedValues) |
| SetTabulatedValues(DoubleVector, DoubleVector) |
Changes the values of the tabulated function.
(Inherited from TabulatedFunction) |
| SetTabulatedValues(Int32, Double, Double) |
Set the values of the tabulated point at the specified index to the
specified value.
(Inherited from TabulatedFunction) |
| SetTabulatedValues(Range, DoubleVector, DoubleVector) |
Sets the the tabulated point values in the specifed range to the
specified values.
(Inherited from TabulatedFunction) |
| SetX(Int32, Double) |
Sets the value of the independent tabulated value at the specified
index to the specified value.
(Inherited from TabulatedFunction) |
| SetX(Range, DoubleVector) |
Sets the the tabulated independent values in the specifed range to the
specified values.
(Inherited from TabulatedFunction) |
| SetY(Int32, Double) |
Sets the value of the dependent tabulated value at the specified
index to the specified value.
(Inherited from TabulatedFunction) |
| SetY(Range, DoubleVector) |
Sets the the tabulated dependent values in the specifed range to the
specified values.
(Inherited from TabulatedFunction) |
Fields| Name | Description | |
|---|---|---|
 | differentiator_ | Differentiator (Inherited from OneVariableFunction) |
| function_ | Captured function (Inherited from OneVariableFunction) |
| integrator_ | Integrator (Inherited from OneVariableFunction) |
| xi_ |
Tabulated independent function values.
(Inherited from TabulatedFunction) |
| yDoublePrime_ | (Inherited from CubicSpline) |
| yi_ |
Tabulated dependent function values.
(Inherited from TabulatedFunction) |
Remarks
The natural cubic spline is a cubic spline where the second derivative of the
interpolating function is required to be zero at the left and right endpoints.
Evaluating x-values outside the range of tabulated values returns the last know y-value.
Evaluating x-values outside the range of tabulated values returns the last know y-value.
See Also