InterpolatorInterpolateWithDegree Method |
Interpolates values using this interpolation algorithm. The appropriate subset of input values to use for
the interpolation is determined automatically from an interpolation given degree.
Namespace:
AGI.Foundation.NumericalMethods.Advanced
Assembly:
AGI.Foundation.Core (in AGI.Foundation.Core.dll) Version: 24.3.420.0 (24.3.420.0)
Syntax public double[] InterpolateWithDegree(
double x,
double[] xTable,
double[] yTable,
int degree,
int yStride,
int inputOrder,
int outputOrder
)
Public Function InterpolateWithDegree (
x As Double,
xTable As Double(),
yTable As Double(),
degree As Integer,
yStride As Integer,
inputOrder As Integer,
outputOrder As Integer
) As Double()
public:
array<double>^ InterpolateWithDegree(
double x,
array<double>^ xTable,
array<double>^ yTable,
int degree,
int yStride,
int inputOrder,
int outputOrder
)
member InterpolateWithDegree :
x : float *
xTable : float[] *
yTable : float[] *
degree : int *
yStride : int *
inputOrder : int *
outputOrder : int -> float[]
Parameters
- x
- Type: SystemDouble
The independent variable for which the dependent variables will be interpolated.
- xTable
- Type: SystemDouble
The array of independent variables to use to interpolate. The values
in this array must be in increasing order and the same value must not occur twice in the array.
- yTable
- Type: SystemDouble
The array of dependent variables to use to interpolate. For a set of three
dependent values (p,q,w) and their derivatives (dp, dq, dw) at time 1 and time 2 this should be
as follows: {p1, q1, w1, dp1, dq1, dw1, p2, q2, w2, dp2, dq2, dw2}.
- degree
- Type: SystemInt32
The degree of interpolation to perform. For Linear Interpolation, this value should be 1.
- yStride
- Type: SystemInt32
The number of dependent variable values in yTable corresponding to
each independent variable value in xTable. If inputOrder
is greater than 0, this is also the number of first derivative values, second derivative
values, etc. corresponding to each value in xTable.
- inputOrder
- Type: SystemInt32
The number of dependent variable derivatives in yTable. If this value is 0,
the yTable is assumed to contain only dependent variable values, with each
yStride of them corresponding to a single independent variable in the
xTable. If this value is 1, the yTable is assumed to
contain not only the dependent variable values but also their derivatives. There are
yStride dependent variable values followed by yStride
dependent variable first derivatives corresponding to each independent variable value
in xTable. Similarly, if this value is 2, the
yTable contains values, first derivatives, and second derivatives.
- outputOrder
- Type: SystemInt32
The number of derivatives to return. To return just the dependent variable values,
pass 0 for this parameter. To return the first derivatives as well, pass 1. To retrieve the
second derivatives as well, pass 2. Note that not all interpolation algorithms are capable
of returning second derivative information, and if a higher outputOrder
is requested than the algorithm is able to provide, the highest order derivative
will be returned and the request for the higher order derivatives is ignored.
Return Value
Type:
Double
An array of interpolated values. The array contains at least
yStride elements,
each of which is an interpolated dependent variable value. If
outputOrder
is 1 or greater, the array contains an additional
yStride elements,
each of which is an interpolated dependent variable first derivative. Lastly, if
outputOrder is 2 or greater, the array contains another additional
yStride elements, each of which is an interpolated variable second
derivative.
Remarks
The
xTable array can contain any number of elements, and the appropriate subset
will be selected according to the
degree of interpolation requested. For
example, if
degree is 5, the 6 elements surrounding
x
will be used for interpolation. When using
LinearApproximation, the degree should be 1
since it always deals with only 2 elements surrounding
x.
The
yTable array should contain a number of elements equal to:
xTable.Length.Length * yStride * (inputOrder + 1) If insufficient elements are provided
to perform the requested degree of interpolation, the highest possible degree of interpolation
will be performed.
See Also