package edu.berkeley.qfat.geom;
import javax.media.opengl.*;
-public class Plane {
+public class Plane implements AffineConstraint {
- public final Vec norm;
- public final float dvalue;
+ // ax+by+cz=d
+ public final float a, b, c, d;
+
+ public Vec norm() { return new Vec(a, b, c); }
public Plane(Point p, Vec norm) {
- this.norm = norm.norm();
- this.dvalue = p.x*this.norm.x+p.y*this.norm.y+p.z*this.norm.z;
+ this.a = norm.x;
+ this.b = norm.y;
+ this.c = norm.z;
+ this.d = p.x*norm.x+p.y*norm.y+p.z*norm.z;
+ }
+
+ /** provided at least one of a,b,c is nonzero, return the Plane representing ax+by+cz=d */
+ public Plane(float a, float b, float c, float d) {
+ this.a = a;
+ this.b = b;
+ this.c = c;
+ this.d = d;
}
public Point intersect(Plane p1, Plane p2) {
+ Vec norm = norm();
Plane p3 = this;
- float z = p1.norm.dot(p2.norm.cross(p3.norm));
+ float z = p1.norm().dot(p2.norm().cross(p3.norm()));
if (Math.abs(z) < 0.0001) return null; // planes do not intersect at a point
- Vec v1 = p2.norm.cross(p3.norm).times(-1 * p1.dvalue);
- Vec v2 = p3.norm.cross(p1.norm).times(-1 * p2.dvalue);
- Vec v3 = p1.norm.cross(p2.norm).times(-1 * p3.dvalue);
- return Point.ORIGIN.plus(v1.plus(v2).plus(v3).times(1/z));
+ Vec v1 = p2.norm().cross(p3.norm()).times(-1 * p1.d);
+ Vec v2 = p3.norm().cross(p1.norm()).times(-1 * p2.d);
+ Vec v3 = p1.norm().cross(p2.norm()).times(-1 * p3.d);
+ return Point.ZERO.plus(v1.plus(v2).plus(v3).times(1/z));
+ }
+
+ public Point getProjection(Point p) {
+ throw new RuntimeException("not implemented yet");
+ }
+
+ public AffineConstraint intersect(AffineConstraint c, float epsilon) {
+ throw new RuntimeException("not implemented yet");
}
+ public AffineConstraint multiply(Matrix m) {
+ throw new RuntimeException("not yet implemented");
+ }
}