GeometryUtils improvements (#709)
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@@ -7,17 +7,36 @@ import org.oscim.utils.geom.GeometryUtils;
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public class GeometryTest {
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@Test
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public void testIsTrisClockwise() {
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// Coordinate system is LHS
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float[] pA = new float[]{0, 0};
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float[] pB = new float[]{1, 0};
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float[] pC = new float[]{1, 1};
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public void testClosestPointOnLine2D() {
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float[] pP = {4, 1};
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float[] pL = {1, 2};
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float[] vL = {1, -1};
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float area = GeometryUtils.isTrisClockwise(pA, pB, pC);
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Assert.assertTrue(area > 0);
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float[] point = GeometryUtils.closestPointOnLine2D(pP, pL, vL);
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Assert.assertEquals(point[0], 3, 0.00001);
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Assert.assertEquals(point[1], 0, 0.00001);
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}
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area = GeometryUtils.isTrisClockwise(pA, pC, pB);
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Assert.assertTrue(area < 0);
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@Test
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public void testDistancePointLine2D() {
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float[] pP = {1, 0};
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float[] pL = {0, 0};
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float[] vL = {2, 2};
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float distance = GeometryUtils.distancePointLine2D(pP, pL, vL);
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Assert.assertEquals(distance, Math.sqrt(2) / 2, 0.00001);
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}
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@Test
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public void testDotProduct() {
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float[] p = {-1, 0, 0, 0, 0, 0};
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for (int i = 0; i < 9; i++) {
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p[4] = (float) Math.cos(Math.toRadians(i * 45));
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p[5] = (float) Math.sin(Math.toRadians(i * 45));
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System.out.println("\n> " + (i * 45) + " " + p[3] + ":" + p[4] + "\n="
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+ GeometryUtils.dotProduct(p, 0, 2, 4));
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}
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}
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@Test
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@@ -34,14 +53,16 @@ public class GeometryTest {
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}
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@Test
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public void testDotProduct() {
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float[] p = {-1, 0, 0, 0, 0, 0};
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public void testIsTrisClockwise() {
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// Coordinate system is LHS
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float[] pA = new float[]{0, 0};
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float[] pB = new float[]{1, 0};
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float[] pC = new float[]{1, 1};
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for (int i = 0; i < 9; i++) {
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p[4] = (float) Math.cos(Math.toRadians(i * 45));
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p[5] = (float) Math.sin(Math.toRadians(i * 45));
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System.out.println("\n> " + (i * 45) + " " + p[3] + ":" + p[4] + "\n="
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+ GeometryUtils.dotProduct(p, 0, 2, 4));
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}
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float area = GeometryUtils.isTrisClockwise(pA, pB, pC);
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Assert.assertTrue(area > 0);
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area = GeometryUtils.isTrisClockwise(pA, pC, pB);
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Assert.assertTrue(area < 0);
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}
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}
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@@ -131,13 +131,9 @@ public final class GeometryUtils {
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if (out == null)
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out = new float[2];
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// Calculate center
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for (int i = 0; i < n; i += 2, pointPos += 2) {
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float x = points[pointPos];
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float y = points[pointPos + 1];
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out[0] += x;
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out[1] += y;
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out[0] += points[pointPos];
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out[1] += points[pointPos + 1];
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}
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out[0] = out[0] * 2 / n;
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out[1] = out[1] * 2 / n;
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@@ -145,6 +141,21 @@ public final class GeometryUtils {
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return out;
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}
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/**
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* Calculate the closest point on a line.
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* See: https://en.wikipedia.org/wiki/Vector_projection#Vector_projection_2
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*
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* @param pP point
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* @param pL point of line
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* @param vL vector of line
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* @return the closest point on line
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*/
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public static float[] closestPointOnLine2D(float[] pP, float[] pL, float[] vL) {
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float[] vPL = diffVec(pL, pP);
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float[] vPS = diffVec(vPL, scale(vL, dotProduct(vPL, vL) / dotProduct(vL, vL)));
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return sumVec(pP, vPS);
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}
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/**
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* @param a first vector
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* @param b second vector
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@@ -222,6 +233,9 @@ public final class GeometryUtils {
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}
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/**
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* Calculate the distance from a point to a line.
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* See: https://en.wikipedia.org/wiki/Vector_projection#Vector_projection_2
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*
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* @param pP point
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* @param pL point of line
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* @param vL vector of line
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@@ -229,7 +243,7 @@ public final class GeometryUtils {
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*/
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public static float distancePointLine2D(float[] pP, float[] pL, float[] vL) {
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float[] vPL = diffVec(pL, pP);
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float[] vPS = diffVec(vPL, scale(vL, dotProduct(vPL, vL)));
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float[] vPS = diffVec(vPL, scale(vL, dotProduct(vPL, vL) / dotProduct(vL, vL)));
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return (float) Math.sqrt(dotProduct(vPS, vPS));
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}
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