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+/*
+ * Copyright (c) 2009-2010 jMonkeyEngine
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ *
+ * * Redistributions of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * * Redistributions in binary form must reproduce the above copyright
+ * notice, this list of conditions and the following disclaimer in the
+ * documentation and/or other materials provided with the distribution.
+ *
+ * * Neither the name of 'jMonkeyEngine' nor the names of its contributors
+ * may be used to endorse or promote products derived from this software
+ * without specific prior written permission.
+ *
+ * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
+ * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED
+ * TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+ * PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+ * CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+ * EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+ * PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+ * PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS
+ * SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ */
+package com.jme3.math;
+
+import com.jme3.export.*;
+import com.jme3.util.BufferUtils;
+import com.jme3.util.TempVars;
+import java.io.IOException;
+import java.nio.FloatBuffer;
+
+/**
+ * <code>Line</code> defines a line. Where a line is defined as infinite along
+ * two points. The two points of the line are defined as the origin and direction.
+ *
+ * @author Mark Powell
+ * @author Joshua Slack
+ */
+public class Line implements Savable, Cloneable, java.io.Serializable {
+
+ static final long serialVersionUID = 1;
+
+ private Vector3f origin;
+ private Vector3f direction;
+
+ /**
+ * Constructor instantiates a new <code>Line</code> object. The origin and
+ * direction are set to defaults (0,0,0).
+ *
+ */
+ public Line() {
+ origin = new Vector3f();
+ direction = new Vector3f();
+ }
+
+ /**
+ * Constructor instantiates a new <code>Line</code> object. The origin
+ * and direction are set via the parameters.
+ * @param origin the origin of the line.
+ * @param direction the direction of the line.
+ */
+ public Line(Vector3f origin, Vector3f direction) {
+ this.origin = origin;
+ this.direction = direction;
+ }
+
+ /**
+ *
+ * <code>getOrigin</code> returns the origin of the line.
+ * @return the origin of the line.
+ */
+ public Vector3f getOrigin() {
+ return origin;
+ }
+
+ /**
+ *
+ * <code>setOrigin</code> sets the origin of the line.
+ * @param origin the origin of the line.
+ */
+ public void setOrigin(Vector3f origin) {
+ this.origin = origin;
+ }
+
+ /**
+ *
+ * <code>getDirection</code> returns the direction of the line.
+ * @return the direction of the line.
+ */
+ public Vector3f getDirection() {
+ return direction;
+ }
+
+ /**
+ *
+ * <code>setDirection</code> sets the direction of the line.
+ * @param direction the direction of the line.
+ */
+ public void setDirection(Vector3f direction) {
+ this.direction = direction;
+ }
+
+ public float distanceSquared(Vector3f point) {
+ TempVars vars = TempVars.get();
+
+ Vector3f compVec1 = vars.vect1;
+ Vector3f compVec2 = vars.vect2;
+
+ point.subtract(origin, compVec1);
+ float lineParameter = direction.dot(compVec1);
+ origin.add(direction.mult(lineParameter, compVec2), compVec2);
+ compVec2.subtract(point, compVec1);
+ float len = compVec1.lengthSquared();
+ vars.release();
+ return len;
+ }
+
+ public float distance(Vector3f point) {
+ return FastMath.sqrt(distanceSquared(point));
+ }
+
+ public void orthogonalLineFit(FloatBuffer points) {
+ if (points == null) {
+ return;
+ }
+
+ TempVars vars = TempVars.get();
+
+ Vector3f compVec1 = vars.vect1;
+ Vector3f compVec2 = vars.vect2;
+ Matrix3f compMat1 = vars.tempMat3;
+ Eigen3f compEigen1 = vars.eigen;
+
+ points.rewind();
+
+ // compute average of points
+ int length = points.remaining() / 3;
+
+ BufferUtils.populateFromBuffer(origin, points, 0);
+ for (int i = 1; i < length; i++) {
+ BufferUtils.populateFromBuffer(compVec1, points, i);
+ origin.addLocal(compVec1);
+ }
+
+ origin.multLocal(1f / (float) length);
+
+ // compute sums of products
+ float sumXX = 0.0f, sumXY = 0.0f, sumXZ = 0.0f;
+ float sumYY = 0.0f, sumYZ = 0.0f, sumZZ = 0.0f;
+
+ points.rewind();
+ for (int i = 0; i < length; i++) {
+ BufferUtils.populateFromBuffer(compVec1, points, i);
+ compVec1.subtract(origin, compVec2);
+ sumXX += compVec2.x * compVec2.x;
+ sumXY += compVec2.x * compVec2.y;
+ sumXZ += compVec2.x * compVec2.z;
+ sumYY += compVec2.y * compVec2.y;
+ sumYZ += compVec2.y * compVec2.z;
+ sumZZ += compVec2.z * compVec2.z;
+ }
+
+ //find the smallest eigen vector for the direction vector
+ compMat1.m00 = sumYY + sumZZ;
+ compMat1.m01 = -sumXY;
+ compMat1.m02 = -sumXZ;
+ compMat1.m10 = -sumXY;
+ compMat1.m11 = sumXX + sumZZ;
+ compMat1.m12 = -sumYZ;
+ compMat1.m20 = -sumXZ;
+ compMat1.m21 = -sumYZ;
+ compMat1.m22 = sumXX + sumYY;
+
+ compEigen1.calculateEigen(compMat1);
+ direction = compEigen1.getEigenVector(0);
+
+ vars.release();
+ }
+
+ /**
+ *
+ * <code>random</code> determines a random point along the line.
+ * @return a random point on the line.
+ */
+ public Vector3f random() {
+ return random(null);
+ }
+
+ /**
+ * <code>random</code> determines a random point along the line.
+ *
+ * @param result Vector to store result in
+ * @return a random point on the line.
+ */
+ public Vector3f random(Vector3f result) {
+ if (result == null) {
+ result = new Vector3f();
+ }
+ float rand = (float) Math.random();
+
+ result.x = (origin.x * (1 - rand)) + (direction.x * rand);
+ result.y = (origin.y * (1 - rand)) + (direction.y * rand);
+ result.z = (origin.z * (1 - rand)) + (direction.z * rand);
+
+ return result;
+ }
+
+ public void write(JmeExporter e) throws IOException {
+ OutputCapsule capsule = e.getCapsule(this);
+ capsule.write(origin, "origin", Vector3f.ZERO);
+ capsule.write(direction, "direction", Vector3f.ZERO);
+ }
+
+ public void read(JmeImporter e) throws IOException {
+ InputCapsule capsule = e.getCapsule(this);
+ origin = (Vector3f) capsule.readSavable("origin", Vector3f.ZERO.clone());
+ direction = (Vector3f) capsule.readSavable("direction", Vector3f.ZERO.clone());
+ }
+
+ @Override
+ public Line clone() {
+ try {
+ Line line = (Line) super.clone();
+ line.direction = direction.clone();
+ line.origin = origin.clone();
+ return line;
+ } catch (CloneNotSupportedException e) {
+ throw new AssertionError();
+ }
+ }
+}