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## org.apache.commons.math.analysis.interpolation
Class TricubicSplineInterpolatingFunction

    java.lang.Object
      org.apache.commons.math.analysis.interpolation.TricubicSplineInterpolatingFunction

All Implemented Interfaces:
  TrivariateRealFunction

    public class TricubicSplineInterpolatingFunction

extends Object
implements TrivariateRealFunction

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

Since:
  2.2
Version:
  $Revision$ $Date$

Constructor Summary
`TricubicSplineInterpolatingFunction(double[] x, double[] y, double[] z, double[][][] f, double[][][] dFdX, double[][][] dFdY, double[][][] dFdZ, double[][][] d2FdXdY, double[][][] d2FdXdZ, double[][][] d2FdYdZ, double[][][] d3FdXdYdZ)`

Method Summary
`double` | `value(double x, double y, double z)` Compute the value for the function.

Methods inherited from class java.lang.Object
`clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`

Constructor Detail

### TricubicSplineInterpolatingFunction

    public TricubicSplineInterpolatingFunction(double[] x,
                                               double[] y,
                                               double[] z,
                                               double[][][] f,
                                               double[][][] dFdX,
                                               double[][][] dFdY,
                                               double[][][] dFdZ,
                                               double[][][] d2FdXdY,
                                               double[][][] d2FdXdZ,
                                               double[][][] d2FdYdZ,
                                               double[][][] d3FdXdYdZ)

Parameters:
  `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.
Throws:
  `NoDataException` - if any of the arrays has zero length.
  `DimensionMismatchException` - if the various arrays do not contain the expected number of elements.
  `IllegalArgumentException` - if `x`, `y` or `z` are not strictly increasing.

Method Detail

### value

    public double value(double x,
                        double y,
                        double z)

  Compute the value for the function.

  Specified by:
    `value` in interface `TrivariateRealFunction`
  Parameters:
    `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.
  Returns:
    the value.

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