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/****************************************************************************
Copyright 2004, Colorado School of Mines and others.
Licensed under the Apache License, Version 2.0 (the "License");
you may not use this file except in compliance with the License.
You may obtain a copy of the License at

    http://www.apache.org/licenses/LICENSE-2.0

Unless required by applicable law or agreed to in writing, software
distributed under the License is distributed on an "AS IS" BASIS,
WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
See the License for the specific language governing permissions and
limitations under the License.
****************************************************************************/
package edu.mines.jtk.sgl;

/**
 * A point with three coordinates x, y, and z.
 * @author Dave Hale, Colorado School of Mines
 * @version 2005.05.20
 */
public class Point3 extends Tuple3 {

  /**
   * Constructs a point with coordinates zero.
   */
  public Point3() {
  }

  /**
   * Constructs a point with specified coordinates.
   * @param x the x coordinate.
   * @param y the y coordinate.
   * @param z the z coordinate.
   */
  public Point3(double x, double y, double z) {
    super(x,y,z);
  }

  /**
   * Constructs a point from the specified 4-d point. The (x,y,z) 
   * coordinates of the constructed point are (p.x/p.w,p.y/p.w,p.z/p.w).
   * @param p the 4-D point.
   */
  public Point3(Point4 p) {
    super(p.x/p.w,p.y/p.w,p.z/p.w);
  }

  /**
   * Constructs a copy of the specified point.
   * @param p the point.
   */
  public Point3(Point3 p) {
    super(p.x,p.y,p.z);
  }

  /**
   * Returns the point q = p+v, for this point p and the specified vector v.
   * @param v the vector v.
   * @return the point q = p+v.
   */
  public Point3 plus(Vector3 v) {
    return new Point3(x+v.x,y+v.y,z+v.z);
  }

  /**
   * Returns the point q = p-v, for this point p and the specified vector v.
   * @param v the vector v.
   * @return the point q = p-v.
   */
  public Point3 minus(Vector3 v) {
    return new Point3(x-v.x,y-v.y,z-v.z);
  }

  /**
   * Returns the vector v = p-q, for this point p and the specified point q.
   * @param q the point q.
   * @return the vector v = p-q.
   */
  public Vector3 minus(Point3 q) {
    return new Vector3(x-q.x,y-q.y,z-q.z);
  }

  /**
   * Moves this point p by adding the specified vector v.
   * @param v the vector v.
   * @return this point, p += v, moved.
   */
  public Point3 plusEquals(Vector3 v) {
    x += v.x;
    y += v.y;
    z += v.z;
    return this;
  }

  /**
   * Moves this point p by subtracting the specified vector v.
   * @param v the vector v.
   * @return this point, p -= v, moved.
   */
  public Point3 minusEquals(Vector3 v) {
    x -= v.x;
    y -= v.y;
    z -= v.z;
    return this;
  }

  /**
   * Returns an affine combination of this point p and the specified point q.
   * @param a the weight of the point q.
   * @param q the point q.
   * @return the affine combination (1-a)*p + a*q.
   */
  public Point3 affine(double a, Point3 q) {
    double b = 1.0-a;
    Point3 p = this;
    return new Point3(b*p.x+a*q.x,b*p.y+a*q.y,b*p.z+a*q.z);
  }

  /**
   * Returns the distance between this point p and the specified point q.
   * @param q the point.
   * @return the distance |q-p|.
   */
  public double distanceTo(Point3 q) {
    double dx = x-q.x;
    double dy = y-q.y;
    double dz = z-q.z;
    return Math.sqrt(dx*dx+dy*dy+dz*dz);
  }
}