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java.lang.Objectorg.apache.commons.math3.analysis.interpolation.TricubicSplineInterpolatingFunction
public class TricubicSplineInterpolatingFunction
Function that implements the
tricubic spline interpolation, as proposed in
Tricubic interpolation in three dimensions
F. Lekien and J. Marsden
Int. J. Numer. Meth. Engng 2005; 63:455-471
Field Summary | |
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private static double[][] |
AINV
Matrix to compute the spline coefficients from the function values and function derivatives values |
private TricubicSplineFunction[][][] |
splines
Set of cubic splines pacthing the whole data grid |
private double[] |
xval
Samples x-coordinates |
private double[] |
yval
Samples y-coordinates |
private double[] |
zval
Samples z-coordinates |
Constructor Summary | |
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TricubicSplineInterpolatingFunction(double[] x,
double[] y,
double[] z,
double[][][] f,
double[][][] dFdX,
double[][][] dFdY,
double[][][] dFdZ,
double[][][] d2FdXdY,
double[][][] d2FdXdZ,
double[][][] d2FdYdZ,
double[][][] d3FdXdYdZ)
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Method Summary | |
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private double[] |
computeSplineCoefficients(double[] beta)
Compute the spline coefficients from the list of function values and function partial derivatives values at the four corners of a grid element. |
private int |
searchIndex(double c,
double[] val)
|
double |
value(double x,
double y,
double z)
Compute the value for the function. |
Methods inherited from class java.lang.Object |
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clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait |
Field Detail |
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private static final double[][] AINV
private final double[] xval
private final double[] yval
private final double[] zval
private final TricubicSplineFunction[][][] splines
Constructor Detail |
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public TricubicSplineInterpolatingFunction(double[] x, double[] y, double[] z, double[][][] f, double[][][] dFdX, double[][][] dFdY, double[][][] dFdZ, double[][][] d2FdXdY, double[][][] d2FdXdZ, double[][][] d2FdYdZ, double[][][] d3FdXdYdZ) throws NoDataException, DimensionMismatchException, NonMonotonicSequenceException
x
- Sample values of the x-coordinate, in increasing order.y
- Sample values of the y-coordinate, in increasing order.z
- Sample values of the y-coordinate, in increasing order.f
- Values of the function on every grid point.dFdX
- Values of the partial derivative of function with respect to x on every grid point.dFdY
- Values of the partial derivative of function with respect to y on every grid point.dFdZ
- Values of the partial derivative of function with respect to z on every grid point.d2FdXdY
- Values of the cross partial derivative of function on every grid point.d2FdXdZ
- Values of the cross partial derivative of function on every grid point.d2FdYdZ
- Values of the cross partial derivative of function on every grid point.d3FdXdYdZ
- Values of the cross partial derivative of function on every grid point.
NoDataException
- if any of the arrays has zero length.
DimensionMismatchException
- if the various arrays do not contain the expected number of elements.
NonMonotonicSequenceException
- if x
, y
or z
are not strictly increasing.Method Detail |
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public double value(double x, double y, double z) throws OutOfRangeException
value
in interface TrivariateFunction
x
- x-coordinate for which the function value should be computed.y
- y-coordinate for which the function value should be computed.z
- z-coordinate for which the function value should be computed.
OutOfRangeException
- if any of the variables is outside its interpolation range.private int searchIndex(double c, double[] val)
c
- Coordinate.val
- Coordinate samples.
val
corresponding to the interval containing c
, or -1
if c
is out of the range defined by the end values of val
.private double[] computeSplineCoefficients(double[] beta)
beta
- List of function values and function partial derivatives values.
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