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Add cubic spline interpolation used for position keyframes

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johni0702
2016-03-24 15:03:19 +01:00
parent c3773bb11a
commit d97f95158c
5 changed files with 385 additions and 5 deletions
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68
src/test/java/com/replaymod/pathing/interpolation/PolynomialSplineInterpolatorTest.java Normal file
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package com.replaymod.pathing.interpolation;
import org.junit.Test;
import static org.junit.Assert.assertArrayEquals;
public class PolynomialSplineInterpolatorTest {
@Test
public void testSolveMatrix() throws Exception {
double[][] matrix;
PolynomialSplineInterpolator.solveMatrix(matrix = new double[][]{
{1, 0, 0, 1},
{0, 1, 0, 2},
{0, 0, 1, 3},
});
assertEquals(solvedMatrix(1, 2, 3), matrix);
PolynomialSplineInterpolator.solveMatrix(matrix = new double[][]{
{0, 0, 1, 3},
{0, 1, 0, 2},
{1, 0, 0, 1},
});
assertEquals(solvedMatrix(1, 2, 3), matrix);
PolynomialSplineInterpolator.solveMatrix(matrix = new double[][]{
{1, 0, 0, 1},
{0, 2, 0, 4},
{0, 0, 3, 9},
});
assertEquals(solvedMatrix(1, 2, 3), matrix);
PolynomialSplineInterpolator.solveMatrix(matrix = new double[][]{
{3, 3, 4, 1},
{3, 5, 9, 2},
{5, 9, 17, 4},
});
assertEquals(solvedMatrix(1, -2, 1), matrix);
}
private double[][] solvedMatrix(int...results) {
double[][] matrix = new double[results.length][results.length + 1];
for (int i = 0; i < results.length; i++) {
matrix[i][i] = 1;
matrix[i][results.length] = results[i];
}
return matrix;
}
private void assertEquals(double[][] expected, double[][] actual) {
for (int i = 0; i < expected.length; i++) {
assertArrayEquals(expected[i], actual[i], 1.0E-10);
}
}
@Test
public void testDerivative() throws Exception {
assertArrayEquals(new double[]{}, new PolynomialSplineInterpolator.Polynomial(
new double[]{}).derivative().coefficients, Double.MIN_VALUE);
assertArrayEquals(new double[]{}, new PolynomialSplineInterpolator.Polynomial(
new double[]{42}).derivative().coefficients, Double.MIN_VALUE);
assertArrayEquals(new double[]{3, 2, 1}, new PolynomialSplineInterpolator.Polynomial(
new double[]{1, 1, 1, 1}).derivative().coefficients, Double.MIN_VALUE);
assertArrayEquals(new double[]{15, 8, 3}, new PolynomialSplineInterpolator.Polynomial(
new double[]{5, 4, 3, 2}).derivative().coefficients, Double.MIN_VALUE);
assertArrayEquals(new double[]{0, 0, 0}, new PolynomialSplineInterpolator.Polynomial(
new double[]{0, 0, 0, 0}).derivative().coefficients, Double.MIN_VALUE);
assertArrayEquals(new double[]{0, 0, 0}, new PolynomialSplineInterpolator.Polynomial(
new double[]{0, 0, 0, 1}).derivative().coefficients, Double.MIN_VALUE);
}
}