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This commit is contained in:
Gilles 2014-11-20 12:50:41 +01:00
parent 301ad59214
commit f8a8ea748a
1 changed files with 102 additions and 68 deletions
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72
src/test/java/org/apache/commons/math3/analysis/interpolation/PiecewiseBicubicSplineInterpolatingFunctionTest.java
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@ -16,9 +16,6 @@
*/
package org.apache.commons.math3.analysis.interpolation;
import static org.junit.Assert.assertEquals;
import static org.junit.Assert.assertTrue;
import org.apache.commons.math3.exception.DimensionMismatchException;
import org.apache.commons.math3.exception.InsufficientDataException;
import org.apache.commons.math3.exception.NonMonotonicSequenceException;
@ -134,13 +131,14 @@ public final class PiecewiseBicubicSplineInterpolatingFunctionTest {
* z = 2 x - 3 y + 5
*/
@Test
public void testInterpolatePlane() {
public void testPlane() {
final int numberOfElements = 10;
final double minimumX = -10;
final double maximumX = 10;
final double minimumY = -10;
final double maximumY = 10;
final int numberOfSamples = 100;
final double interpolationTolerance = 7e-15;
final double maxTolerance = 6e-14;
@ -151,8 +149,15 @@ public final class PiecewiseBicubicSplineInterpolatingFunctionTest {
}
};
testInterpolation( minimumX, maximumX, minimumY, maximumY, numberOfElements, numberOfSamples, f,
interpolationTolerance, maxTolerance );
testInterpolation(minimumX,
maximumX,
minimumY,
maximumY,
numberOfElements,
numberOfSamples,
f,
interpolationTolerance,
maxTolerance);
}
/**
@ -161,13 +166,14 @@ public final class PiecewiseBicubicSplineInterpolatingFunctionTest {
* z = 2 x<sup>2</sup> - 3 y<sup>2</sup> + 4 x y - 5
*/
@Test
public void testInterpolationParabaloid() {
public void testParabaloid() {
final int numberOfElements = 10;
final double minimumX = -10;
final double maximumX = 10;
final double minimumY = -10;
final double maximumY = 10;
final int numberOfSamples = 100;
final double interpolationTolerance = 2e-14;
final double maxTolerance = 6e-14;
@ -178,12 +184,36 @@ public final class PiecewiseBicubicSplineInterpolatingFunctionTest {
}
};
testInterpolation( minimumX, maximumX, minimumY, maximumY, numberOfElements, numberOfSamples, f,
interpolationTolerance, maxTolerance );
testInterpolation(minimumX,
maximumX,
minimumY,
maximumY,
numberOfElements,
numberOfSamples,
f,
interpolationTolerance,
maxTolerance);
}
private void testInterpolation( double minimumX, double maximumX, double minimumY, double maximumY,
int numberOfElements, int numberOfSamples, BivariateFunction f, double tolerance,
/**
* @param minimumX Lower bound of interpolation range along the x-coordinate.
* @param maximumX Higher bound of interpolation range along the x-coordinate.
* @param minimumY Lower bound of interpolation range along the y-coordinate.
* @param maximumY Higher bound of interpolation range along the y-coordinate.
* @param numberOfElements Number of data points (along each dimension).
* @param numberOfSamples Number of test points.
* @param f Function to test.
* @param meanTolerance Allowed average error (mean error on all interpolated values).
* @param maxTolerance Allowed error on each interpolated value.
*/
private void testInterpolation(double minimumX,
double maximumX,
double minimumY,
double maximumY,
int numberOfElements,
int numberOfSamples,
BivariateFunction f,
double meanTolerance,
double maxTolerance) {
double expected;
double actual;
@ -191,9 +221,9 @@ public final class PiecewiseBicubicSplineInterpolatingFunctionTest {
double currentY;
final double deltaX = (maximumX - minimumX) / ((double) numberOfElements);
final double deltaY = (maximumY - minimumY) / ((double) numberOfElements);
double xValues[] = new double[numberOfElements];
double yValues[] = new double[numberOfElements];
double zValues[][] = new double[numberOfElements][numberOfElements];
final double[] xValues = new double[numberOfElements];
final double[] yValues = new double[numberOfElements];
final double[][] zValues = new double[numberOfElements][numberOfElements];
for (int i = 0; i < numberOfElements; i++) {
xValues[i] = minimumX + deltaX * (double) i;
@ -203,7 +233,10 @@ public final class PiecewiseBicubicSplineInterpolatingFunctionTest {
}
}
BivariateFunction interpolation = new PiecewiseBicubicSplineInterpolatingFunction( xValues, yValues, zValues );
final BivariateFunction interpolation
= new PiecewiseBicubicSplineInterpolatingFunction(xValues,
yValues,
zValues);
for (int i = 0; i < numberOfElements; i++) {
currentX = xValues[i];
@ -211,11 +244,11 @@ public final class PiecewiseBicubicSplineInterpolatingFunctionTest {
currentY = yValues[j];
expected = f.value(currentX, currentY);
actual = interpolation.value(currentX, currentY);
assertTrue( Precision.equals( expected, actual ) );
Assert.assertTrue(Precision.equals(expected, actual));
}
}
final RandomGenerator rng = new Well19937c( 1234567L ); // "tol" depends on the seed.
final RandomGenerator rng = new Well19937c(1234567L);
final UniformRealDistribution distX = new UniformRealDistribution(rng, xValues[0], xValues[xValues.length - 1]);
final UniformRealDistribution distY = new UniformRealDistribution(rng, yValues[0], yValues[yValues.length - 1]);
@ -226,9 +259,10 @@ public final class PiecewiseBicubicSplineInterpolatingFunctionTest {
expected = f.value(currentX, currentY);
actual = interpolation.value(currentX, currentY);
sumError += FastMath.abs(actual - expected);
assertEquals( expected, actual, maxTolerance );
Assert.assertEquals(expected, actual, maxTolerance);
}
assertEquals( 0.0, ( sumError / (double) numberOfSamples ), tolerance );
final double meanError = sumError / numberOfSamples;
Assert.assertEquals(0, meanError, meanTolerance);
}
}