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jMonkeyEngine is a 3-D game engine for adventurous Java developers
/*
* Copyright (c) 2009-2021 jMonkeyEngine
* All rights reserved.
*
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* 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,
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*/
package com.jme3.math;
import com.jme3.export.*;
import java.io.IOException;
import java.util.logging.Logger;
/**
* Plane defines a plane where Normal dot (x,y,z) = Constant.
* This provides methods for calculating a "distance" of a point from this
* plane. The distance is pseudo due to the fact that it can be negative if the
* point is on the non-normal side of the plane.
*
* @author Mark Powell
* @author Joshua Slack
* @author Ian McClean
*/
public class Plane implements Savable, Cloneable, java.io.Serializable {
static final long serialVersionUID = 1;
private static final Logger logger = Logger
.getLogger(Plane.class.getName());
/**
* Describe the relationship between a point and a plane.
*/
public static enum Side {
/**
* a point that lies in the plane
*/
None,
/**
* a point on the side with positive pseudo-distance
*/
Positive,
/**
* a point on the side with negative pseudo-distance
*/
Negative
}
/**
* Vector normal to the plane.
*/
protected Vector3f normal = new Vector3f();
/**
* Constant of the plane. See formula in class definition.
*/
protected float constant;
/**
* Constructor instantiates a new Plane object. This is the
* default object and contains a normal of (0,0,0) and a constant of 0.
*/
public Plane() {
}
/**
* Constructor instantiates a new Plane object. The normal
* and constant values are set at creation.
*
* @param normal
* the normal of the plane.
* @param constant
* the constant of the plane.
*/
public Plane(Vector3f normal, float constant) {
if (normal == null) {
throw new IllegalArgumentException("normal cannot be null");
}
this.normal.set(normal);
this.constant = constant;
}
/**
* Constructor instantiates a new Plane object.
*
* @param normal The normal of the plane.
* @param displacement A vector representing a point on the plane.
*/
public Plane(Vector3f normal, Vector3f displacement) {
this(normal, displacement.dot(normal));
}
/**
* setNormal sets the normal of the plane.
*
* @param normal
* the new normal of the plane.
*/
public void setNormal(Vector3f normal) {
if (normal == null) {
throw new IllegalArgumentException("normal cannot be null");
}
this.normal.set(normal);
}
/**
* setNormal sets the normal of the plane.
*
* @param x the desired X component for the normal vector
* @param y the desired Y component for the normal vector
* @param z the desired Z component for the normal vector
*/
public void setNormal(float x, float y, float z) {
this.normal.set(x, y, z);
}
/**
* getNormal retrieves the normal of the plane.
*
* @return the normal of the plane.
*/
public Vector3f getNormal() {
return normal;
}
/**
* setConstant sets the constant value that helps define the
* plane.
*
* @param constant
* the new constant value.
*/
public void setConstant(float constant) {
this.constant = constant;
}
/**
* getConstant returns the constant of the plane.
*
* @return the constant of the plane.
*/
public float getConstant() {
return constant;
}
/**
* Find the point in this plane that's nearest to the specified point.
*
* @param point the location of the input point (not null, unaffected)
* @param store storage for the result (not null, modified)
* @return the location of the nearest point (store)
*/
public Vector3f getClosestPoint(Vector3f point, Vector3f store) {
// float t = constant - normal.dot(point);
// return store.set(normal).multLocal(t).addLocal(point);
float t = (constant - normal.dot(point)) / normal.dot(normal);
return store.set(normal).multLocal(t).addLocal(point);
}
/**
* Find the point in this plane that's nearest to the specified point.
*
* @param point location vector of the input point (not null, unaffected)
* @return a new location vector in this plane
*/
public Vector3f getClosestPoint(Vector3f point) {
return getClosestPoint(point, new Vector3f());
}
/**
* Reflect the specified point in this plane.
*
* @param point location vector of the input point (not null, unaffected)
* @param store storage for the result (modified if not null)
* @return a location vector for the reflected point (either store or a new
* vector)
*/
public Vector3f reflect(Vector3f point, Vector3f store) {
if (store == null) {
store = new Vector3f();
}
float d = pseudoDistance(point);
store.set(normal).negateLocal().multLocal(d * 2f);
store.addLocal(point);
return store;
}
/**
* pseudoDistance calculates the distance from this plane to
* a provided point. If the point is on the negative side of the plane the
* distance returned is negative, otherwise it is positive. If the point is
* on the plane, it is zero.
*
* @param point
* the point to check.
* @return the signed distance from the plane to a point.
*/
public float pseudoDistance(Vector3f point) {
return normal.dot(point) - constant;
}
/**
* whichSide returns the side at which a point lies on the
* plane. The positive values returned are: NEGATIVE_SIDE, POSITIVE_SIDE and
* NO_SIDE.
*
* @param point
* the point to check.
* @return the side at which the point lies.
*/
public Side whichSide(Vector3f point) {
float dis = pseudoDistance(point);
if (dis < 0) {
return Side.Negative;
} else if (dis > 0) {
return Side.Positive;
} else {
return Side.None;
}
}
public boolean isOnPlane(Vector3f point) {
float dist = pseudoDistance(point);
if (dist < FastMath.FLT_EPSILON && dist > -FastMath.FLT_EPSILON) {
return true;
} else {
return false;
}
}
/**
* Initialize this plane using the three points of the given triangle.
*
* @param t the triangle
*/
public void setPlanePoints(AbstractTriangle t) {
setPlanePoints(t.get1(), t.get2(), t.get3());
}
/**
* Initialize this plane using a point of origin and a normal.
*
* @param origin the desired origin location (not null, unaffected)
* @param normal the desired normal vector (not null, unaffected)
*/
public void setOriginNormal(Vector3f origin, Vector3f normal) {
this.normal.set(normal);
this.constant = normal.x * origin.x + normal.y * origin.y + normal.z * origin.z;
}
/**
* Initialize the Plane using the given 3 points as coplanar.
*
* @param v1
* the first point
* @param v2
* the second point
* @param v3
* the third point
*/
public void setPlanePoints(Vector3f v1, Vector3f v2, Vector3f v3) {
normal.set(v2).subtractLocal(v1);
normal.crossLocal(v3.x - v1.x, v3.y - v1.y, v3.z - v1.z)
.normalizeLocal();
constant = normal.dot(v1);
}
/**
* toString returns a string representation of this plane.
* It represents the normal as a Vector3f, so the format is:
*
* Plane [Normal: (X.XXXX, Y.YYYY, Z.ZZZZ) - Constant: C.CCCC]
*
* @return the string representation of this plane.
*/
@Override
public String toString() {
return getClass().getSimpleName() + " [Normal: " + normal + " - Constant: "
+ constant + "]";
}
/**
* Serialize this plane to the specified exporter, for example when
* saving to a J3O file.
*
* @param e (not null)
* @throws IOException from the exporter
*/
@Override
public void write(JmeExporter e) throws IOException {
OutputCapsule capsule = e.getCapsule(this);
capsule.write(normal, "normal", Vector3f.ZERO);
capsule.write(constant, "constant", 0);
}
/**
* De-serialize this plane from the specified importer, for example when
* loading from a J3O file.
*
* @param importer (not null)
* @throws IOException from the importer
*/
@Override
public void read(JmeImporter importer) throws IOException {
InputCapsule capsule = importer.getCapsule(this);
normal = (Vector3f) capsule.readSavable("normal", Vector3f.ZERO.clone());
constant = capsule.readFloat("constant", 0);
}
/**
* Create a copy of this plane.
*
* @return a new instance, equivalent to this one
*/
@Override
public Plane clone() {
try {
Plane p = (Plane) super.clone();
p.normal = normal.clone();
return p;
} catch (CloneNotSupportedException e) {
throw new AssertionError();
}
}
}
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