summaryrefslogtreecommitdiffstats
path: root/src/net/java/joglutils/msg/math/Sphere.java
diff options
context:
space:
mode:
Diffstat (limited to 'src/net/java/joglutils/msg/math/Sphere.java')
-rw-r--r--src/net/java/joglutils/msg/math/Sphere.java183
1 files changed, 183 insertions, 0 deletions
diff --git a/src/net/java/joglutils/msg/math/Sphere.java b/src/net/java/joglutils/msg/math/Sphere.java
new file mode 100644
index 0000000..232d81b
--- /dev/null
+++ b/src/net/java/joglutils/msg/math/Sphere.java
@@ -0,0 +1,183 @@
+/*
+ * Copyright (c) 2007 Sun Microsystems, Inc. All Rights Reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are
+ * met:
+ *
+ * - Redistribution of source code must retain the above copyright
+ * notice, this list of conditions and the following disclaimer.
+ *
+ * - Redistribution 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 Sun Microsystems, Inc. or the names of
+ * contributors may be used to endorse or promote products derived from
+ * this software without specific prior written permission.
+ *
+ * This software is provided "AS IS," without a warranty of any kind. ALL
+ * EXPRESS OR IMPLIED CONDITIONS, REPRESENTATIONS AND WARRANTIES,
+ * INCLUDING ANY IMPLIED WARRANTY OF MERCHANTABILITY, FITNESS FOR A
+ * PARTICULAR PURPOSE OR NON-INFRINGEMENT, ARE HEREBY EXCLUDED. SUN
+ * MICROSYSTEMS, INC. ("SUN") AND ITS LICENSORS SHALL NOT BE LIABLE FOR
+ * ANY DAMAGES SUFFERED BY LICENSEE AS A RESULT OF USING, MODIFYING OR
+ * DISTRIBUTING THIS SOFTWARE OR ITS DERIVATIVES. IN NO EVENT WILL SUN OR
+ * ITS LICENSORS BE LIABLE FOR ANY LOST REVENUE, PROFIT OR DATA, OR FOR
+ * DIRECT, INDIRECT, SPECIAL, CONSEQUENTIAL, INCIDENTAL OR PUNITIVE
+ * DAMAGES, HOWEVER CAUSED AND REGARDLESS OF THE THEORY OF LIABILITY,
+ * ARISING OUT OF THE USE OF OR INABILITY TO USE THIS SOFTWARE, EVEN IF
+ * SUN HAS BEEN ADVISED OF THE POSSIBILITY OF SUCH DAMAGES.
+ *
+ * You acknowledge that this software is not designed or intended for use
+ * in the design, construction, operation or maintenance of any nuclear
+ * facility.
+ *
+ */
+
+package net.java.joglutils.msg.math;
+
+/** Represents a sphere. */
+
+public class Sphere {
+ private Vec3f center = new Vec3f();
+ private float radius;
+ private float radSq;
+
+ /** Default constructor creates a sphere with center (0, 0, 0) and
+ radius 0 */
+ public Sphere() {
+ makeEmpty();
+ }
+
+ public Sphere(Vec3f center, float radius) {
+ set(center, radius);
+ }
+
+ public Sphere(Sphere other) {
+ set(other);
+ }
+
+ public Sphere(Box3f box) {
+ set(box);
+ }
+
+ /** Re-initialize this sphere to center (0, 0, 0) and radius 0 */
+ public void makeEmpty() {
+ center.set(0, 0, 0);
+ radius = radSq = 0;
+ }
+
+ public void setCenter(Vec3f center) { this.center.set(center); }
+ public Vec3f getCenter() { return center; }
+
+ public void setRadius(float radius) { this.radius = radius;
+ radSq = radius * radius; }
+ public float getRadius() { return radius; }
+
+ public void set(Vec3f center, float radius) {
+ setCenter(center); setRadius(radius);
+ }
+ /** Returns radius and mutates passed "center" vector */
+ float get(Vec3f center) {
+ center.set(this.center); return radius;
+ }
+
+ /** Sets the parameters of this sphere to those of the given one */
+ public void set(Sphere other) {
+ set(other.center, other.radius);
+ }
+
+ /** Sets this sphere to encompass the given box */
+ public void set(Box3f box) {
+ Vec3f max = box.getMax();
+ Vec3f ctr = box.getCenter();
+ Vec3f diff = max.minus(ctr);
+ set(ctr, diff.length());
+ }
+
+ /** Mutate this sphere to encompass both itself and the argument.
+ Ignores zero-size arguments. */
+ public void extendBy(Sphere arg) {
+ if ((radius == 0.0f) || (arg.radius == 0.0f))
+ return;
+ // FIXME: This algorithm is a quick hack -- minimum bounding
+ // sphere of a set of other spheres is a well studied problem, but
+ // not by me
+ Vec3f diff = arg.center.minus(center);
+ if (diff.lengthSquared() == 0.0f) {
+ setRadius(Math.max(radius, arg.radius));
+ return;
+ }
+ IntersectionPoint[] intPt = new IntersectionPoint[4];
+ for (int i = 0; i < intPt.length; i++) {
+ intPt[i] = new IntersectionPoint();
+ }
+ int numIntersections;
+ numIntersections = intersectRay(center, diff, intPt[0], intPt[1]);
+ assert numIntersections == 2;
+ numIntersections = intersectRay(center, diff, intPt[2], intPt[3]);
+ assert numIntersections == 2;
+ IntersectionPoint minIntPt = intPt[0];
+ IntersectionPoint maxIntPt = intPt[0];
+ // Find minimum and maximum t values, take associated intersection
+ // points, find midpoint and half length of line segment -->
+ // center and radius.
+ for (int i = 0; i < 4; i++) {
+ if (intPt[i].getT() < minIntPt.getT()) {
+ minIntPt = intPt[i];
+ } else if (intPt[i].getT() > maxIntPt.getT()) {
+ maxIntPt = intPt[i];
+ }
+ }
+ // Compute the average -- this is the new center
+ center.add(minIntPt.getIntersectionPoint(),
+ maxIntPt.getIntersectionPoint());
+ center.scale(0.5f);
+ // Compute half the length -- this is the radius
+ setRadius(
+ 0.5f *
+ minIntPt.getIntersectionPoint().
+ minus(maxIntPt.getIntersectionPoint()).
+ length()
+ );
+ }
+
+ /** Intersect a ray with the sphere. This is a one-sided ray
+ cast. Mutates one or both of intPt0 and intPt1. Returns number
+ of intersections which occurred. */
+ int intersectRay(Vec3f rayStart,
+ Vec3f rayDirection,
+ IntersectionPoint intPt0,
+ IntersectionPoint intPt1) {
+ // Solve quadratic equation
+ float a = rayDirection.lengthSquared();
+ if (a == 0.0)
+ return 0;
+ float b = 2.0f * (rayStart.dot(rayDirection) - rayDirection.dot(center));
+ Vec3f tempDiff = center.minus(rayStart);
+ float c = tempDiff.lengthSquared() - radSq;
+ float disc = b * b - 4 * a * c;
+ if (disc < 0.0f)
+ return 0;
+ int numIntersections;
+ if (disc == 0.0f)
+ numIntersections = 1;
+ else
+ numIntersections = 2;
+ intPt0.setT((0.5f * (-1.0f * b + (float) Math.sqrt(disc))) / a);
+ if (numIntersections == 2)
+ intPt1.setT((0.5f * (-1.0f * b - (float) Math.sqrt(disc))) / a);
+ Vec3f tmp = new Vec3f(rayDirection);
+ tmp.scale(intPt0.getT());
+ tmp.add(tmp, rayStart);
+ intPt0.setIntersectionPoint(tmp);
+ if (numIntersections == 2) {
+ tmp.set(rayDirection);
+ tmp.scale(intPt1.getT());
+ tmp.add(tmp, rayStart);
+ intPt1.setIntersectionPoint(tmp);
+ }
+ return numIntersections;
+ }
+}