Rational |
The RationalCubicSpline type exposes the following members.
Methods| Name | Description | |
|---|---|---|
 | CubicSplineCoefficients |
Calculate the spline coefficients y2(i) and y3(i) for a natural cubic
spline, given the abscissa x(i), the ordinate y(i), and the 1st
derivative y1(i).
(Inherited from CurveBase) |
| CubicSplineHorner |
Return the interpolation value P(u) for a piecewise cubic curve determined
by the abscissa vector x, the ordinate vector y,
and derivative coefficient vectors y1, y2, and y3, using the Horner scheme.
(Inherited from CurveBase) |
| CubicSplineHorner1stDerivative |
Return the first derivative P'(u) of the piecewise cubic curve evaluated using Horner's scheme.
(Inherited from CurveBase) |
 | Differences | Calculates the difference vector dx(i) from vector x(i) and ensures that x is strictly monotone increasing or decreasing. Can be called with both arguments referring to the same vector in order to do it in place. |
| 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) |
| GetBoundaryConditions | Gets the boundary condition. |
| GetBoundaryConditions(Double, Double) | Gets the boundary condition and the two condition parameters. |
| GetCurvePoints |
Get curve points to draw an interpolation curve between the abscissa values xlo and xhi.
It calls the virtual methods MpCurveBase::GetXOfU() and GetYOfU() to obtain the
interpolation values. Note, that before method DrawCurve() can be called
the method Interpolate() must have been called. Otherwise, not interpolation
is available.
(Inherited from CurveBase) |
| GetHashCode | Serves as the default hash function. (Inherited from Object) |
| GetType | Gets the Type of the current instance. (Inherited from Object) |
| GetXOfU |
Get the abscissa value in dependence on parameter u.
(Overrides CurveBaseGetXOfU(Double)) |
| GetYOfU |
Gets the ordinate value on dependence on parameter u.
(Overrides CurveBaseGetYOfU(Double)) |
| GetYOfX | Returns the y value in dependence of a given x value. |
| Interpolate | (Overrides CurveBaseInterpolate(IReadOnlyListDouble, IReadOnlyListDouble)) |
| InverseDifferences | Calculates the inverse difference vector dx(i) from vector x(i) and ensures that x is strictly monotone increasing or decreasing. Can be called with both arguments referring to the same vector in order to do it in place. |
| MemberwiseClone | Creates a shallow copy of the current Object. (Inherited from Object) |
| Parametrize |
Curve length parametrization. Returns the accumulated "distances"
between the points (x(i),y(i)) and (x(i+1),y(i+1)) in t(i+1)
for i = lo ... hi. t(lo) = 0.0 always.
(Inherited from CurveBase) |
| SetBoundaryConditions | Sets the boundary conditions. |
| SplineA | Computes the coefficient vector used by `SplineB1` and `SplineB2`. |
| SplineB1 | Computes the 1st derivative vector for interior points, given boundary values and the coefficients computed by `SplineA`. |
| SplineB2 | Computes the 2nd derivative vector for interior points, given boundary values and the coefficients computed by `SplineA`. |
| SplineC1 | Calculates the spline coefficients a(i), b(i), c(i), d(i) for a spline with a given 1st derivative vector. Uses the coefficients calculated by `SplineA` and `SplineB1`. |
| ToString | Returns a string that represents the current object. (Inherited from Object) |
See Also