3D向量类

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源代码

```
/*
```

 * Copyright (c) 2003-2009 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.jme.math;
```
```
import java.io.Externalizable;
```
```
import java.io.IOException;
```
```
import java.io.ObjectInput;
```
```
import java.io.ObjectOutput;
```
```
import java.util.logging.Logger;
```

import com.jme.util.export.InputCapsule;

import com.jme.util.export.JMEExporter;

import com.jme.util.export.JMEImporter;

import com.jme.util.export.OutputCapsule;

```
import com.jme.util.export.Savable;
```
```
/*
```

 * -- Added *Local methods to cut down on object creation - JS

```
 */
```
```
/**
```

 * <code>Vector3f</code> defines a Vector for a three float value tuple.

 * <code>Vector3f</code> can represent any three dimensional value, such as a

 * vertex, a normal, etc. Utility methods are also included to aid in

```
 * mathematical calculations. 
```
```
 * 3维向量类
```
```
 * 
```
```
 * @author Mark Powell
```
```
 * @author Joshua Slack
```
```
 */
```

public class Vector3f implements Externalizable, Savable, Cloneable {

    private static final Logger logger = Logger.getLogger(Vector3f.class

```
            .getName());
```

    private static final long serialVersionUID = 1L;

    public final static Vector3f ZERO = new Vector3f(0, 0, 0);

    public final static Vector3f UNIT_X = new Vector3f(1, 0, 0);

    public final static Vector3f UNIT_Y = new Vector3f(0, 1, 0);

    public final static Vector3f UNIT_Z = new Vector3f(0, 0, 1);

    public final static Vector3f UNIT_XYZ = new Vector3f(1, 1, 1);

```
    /**
```
```
     * the x value of the vector.
```
```
     */
```
```
    public float x;
```
```
    /**
```
```
     * the y value of the vector.
```
```
     */
```
```
    public float y;
```
```
    /**
```
```
     * the z value of the vector.
```
```
     */
```
```
    public float z;
```
```
    /**
```

     * Constructor instantiates a new <code>Vector3f</code> with default values

```
     * of (0,0,0).
```
```
     * 
```
```
     */
```
```
    public Vector3f() {
```
```
        x = y = z = 0;
```
```
    }
```
```
    /**
```

     * Constructor instantiates a new <code>Vector3f</code> with provides

```
     * values.
```
```
     * 
```
```
     * @param x
```

     *            the x value of the vector.

```
     * @param y
```

     *            the y value of the vector.

```
     * @param z
```

     *            the z value of the vector.

```
     */
```

    public Vector3f(float x, float y, float z) {

```
        this.x = x;
```
```
        this.y = y;
```
```
        this.z = z;
```
```
    }
```
```
    /**
```

     * Constructor instantiates a new <code>Vector3f</code> that is a copy of

```
     * the provided vector
```
```
     * 
```
```
     * @param copy
```
```
     *            The Vector3f to copy
```
```
     */
```
```
    public Vector3f(Vector3f copy) {
```
```
        this.set(copy);
```
```
    }
```
```
    /**
```

     * <code>set</code> sets the x,y,z values of the vector based on passed

```
     * parameters.
```
```
     * 
```
```
     * @param x
```

     *            the x value of the vector.

```
     * @param y
```

     *            the y value of the vector.

```
     * @param z
```

     *            the z value of the vector.

```
     * @return this vector
```
```
     */
```

    public Vector3f set(float x, float y, float z) {

```
        this.x = x;
```
```
        this.y = y;
```
```
        this.z = z;
```
```
        return this;
```
```
    }
```
```
    /**
```

     * <code>set</code> sets the x,y,z values of the vector by copying the

```
     * supplied vector.
```
```
     * 
```
```
     * @param vect
```
```
     *            the vector to copy.
```
```
     * @return this vector
```
```
     */
```

    public Vector3f set(Vector3f vect) {

```
        this.x = vect.x;
```
```
        this.y = vect.y;
```
```
        this.z = vect.z;
```
```
        return this;
```
```
    }
```
```
    /**
```
```
     * 
```

     * <code>add</code> adds a provided vector to this vector creating a

     * resultant vector which is returned. If the provided vector is null, null

```
 * is returned. 
```

     * 向量加法（不改变自身和参数）

```
     * 
```

     * Neither 'this' nor 'vec' are modified.

```
     * 
```
```
     * @param vec
```

     *            the vector to add to this.

```
     * @return the resultant vector.
```
```
     */
```

    public Vector3f add(Vector3f vec) {

```
        if (null == vec) {
```

            logger.warning("Provided vector is null, null returned.");

```
            return null;
```
```
        }
```

        return new Vector3f(x + vec.x, y + vec.y, z + vec.z);

```
    }
```
```
    /**
```
```
     * 
```

     * <code>add</code> adds the values of a provided vector storing the values

```
 * in the supplied vector. 
```
```
     * 向量加法
```
```
     * 
```
```
     * @param vec
```

     *            the vector to add to this

```
     * @param result
```

     *            the vector to store the result in

     * @return result returns the supplied result vector.

```
     */
```

    public Vector3f add(Vector3f vec, Vector3f result) {

```
        result.x = x + vec.x;
```
```
        result.y = y + vec.y;
```
```
        result.z = z + vec.z;
```
```
        return result;
```
```
    }
```
```
    /**
```

     * <code>addLocal</code> adds a provided vector to this vector internally,

     * and returns a handle to this vector for easy chaining of calls. If the

     * provided vector is null, null is returned.<br/>

```
     * 向量加法（自加）
```
```
     * 
```
```
     * @param vec
```

     *            the vector to add to this vector.

```
     * @return this
```
```
     */
```

    public Vector3f addLocal(Vector3f vec) {

```
        if (null == vec) {
```

            logger.warning("Provided vector is null, null returned.");

```
            return null;
```
```
        }
```
```
        x += vec.x;
```
```
        y += vec.y;
```
```
        z += vec.z;
```
```
        return this;
```
```
    }
```
```
    /**
```
```
     * 
```

     * <code>add</code> adds the provided values to this vector, creating a new

     * vector that is then returned.<br/>

```
     * 向量加法
```
```
     * 
```
```
     * @param addX
```
```
     *            the x value to add.
```
```
     * @param addY
```
```
     *            the y value to add.
```
```
     * @param addZ
```
```
     *            the z value to add.
```
```
     * @return the result vector.
```
```
     */
```

    public Vector3f add(float addX, float addY, float addZ) {

        return new Vector3f(x + addX, y + addY, z + addZ);

```
    }
```
```
    /**
```

     * <code>addLocal</code> adds the provided values to this vector internally,

     * and returns a handle to this vector for easy chaining of calls.<br/>

```
     * 向量加法（自加）
```
```
     * 
```
```
     * @param addX
```
```
     *            value to add to x
```
```
     * @param addY
```
```
     *            value to add to y
```
```
     * @param addZ
```
```
     *            value to add to z
```
```
     * @return this
```
```
     */
```

    public Vector3f addLocal(float addX, float addY, float addZ) {

```
        x += addX;
```
```
        y += addY;
```
```
        z += addZ;
```
```
        return this;
```
```
    }
```
```
    /**
```
```
     * 
```

     * <code>scaleAdd</code> multiplies this vector by a scalar then adds the

```
 * given Vector3f. 
```

     * 向量加乘（先乘一个标量，再加一个向量）

```
     * 
```
```
     * @param scalar
```

     *            the value to multiply this vector by.

```
     * @param add
```
```
     *            the value to add
```
```
     */
```

    public void scaleAdd(float scalar, Vector3f add) {

```
        x = x * scalar + add.x;
```
```
        y = y * scalar + add.y;
```
```
        z = z * scalar + add.z;
```
```
    }
```
```
    /**
```
```
     * 
```

     * <code>scaleAdd</code> multiplies the given vector by a scalar then adds

```
 * the given vector. 
```

     * 向量加乘（将mult乘以标量scalar，再加上向量add，返回this）

```
     * 
```
```
     * @param scalar
```

     *            the value to multiply this vector by.

```
     * @param mult
```

     *            the value to multiply the scalar by

```
     * @param add
```
```
     *            the value to add
```
```
     */
```

    public void scaleAdd(float scalar, Vector3f mult, Vector3f add) {

        this.x = mult.x * scalar + add.x;

        this.y = mult.y * scalar + add.y;

        this.z = mult.z * scalar + add.z;

```
    }
```
```
    /**
```
```
     * 
```

     * <code>dot</code> calculates the dot product of this vector with a

     * provided vector. If the provided vector is null, 0 is returned.<br/>

```
     * 向量点乘
```
```
     * 
```
```
     * @param vec
```

     *            the vector to dot with this vector.

     * @return the resultant dot product of this vector and a given vector.

```
     */
```
```
    public float dot(Vector3f vec) {
```
```
        if (null == vec) {
```

            logger.warning("Provided vector is null, 0 returned.");

```
            return 0;
```
```
        }
```

        return x * vec.x + y * vec.y + z * vec.z;

```
    }
```
```
    /**
```

     * Returns a new vector which is the cross product of this vector with the

```
 * specified vector. 
```

     * 叉乘（不改变自身和参数）

```
 * 
```

     * Neither 'this' nor v are modified. The starting value of 'result'

```
 * 
```
```
     * 
```
```
     * @param v
```

     *            the vector to take the cross product of with this.

     * @return the cross product vector.

```
     */
```

    public Vector3f cross(Vector3f v) {

```
        return cross(v, null);
```
```
    }
```
```
    /**
```

     * <code>cross</code> calculates the cross product of this vector with a

     * parameter vector v. The result is stored in <code>result</code><br/>

     * 叉乘（this与v叉乘，结果存入result中。不改变自身和参数）

```
 * 
```

     * Neither 'this' nor v are modified. The starting value of 'result' (if

```
     * any) is ignored.
```
```
 * 
```
```
     * 
```
```
     * @param v
```

     *            the vector to take the cross product of with this.

```
     * @param result
```

     *            the vector to store the cross product result.

     * @return result, after recieving the cross product vector.

```
     */
```

    public Vector3f cross(Vector3f v, Vector3f result) {

        return cross(v.x, v.y, v.z, result);

```
    }
```
```
    /**
```

     * <code>cross</code> calculates the cross product of this vector with a

     * Vector comprised of the specified other* elements. The result is stored

     * in <code>result</code>, without modifying either 'this' or the 'other*'

```
 * values. 
```

     * 叉乘（this与参数叉乘，结果存在参数result中）

```
     * 
```
```
     * @param otherX
```

     *            x component of the vector to take the cross product of with

```
     *            this.
```
```
     * @param otherY
```

     *            y component of the vector to take the cross product of with

```
     *            this.
```
```
     * @param otherZ
```

     *            z component of the vector to take the cross product of with

```
     *            this.
```
```
     * @param result
```

     *            the vector to store the cross product result.

     * @return result, after recieving the cross product vector.

```
     */
```

    public Vector3f cross(float otherX, float otherY, float otherZ,

```
            Vector3f result) {
```
```
        if (result == null)
```
```
            result = new Vector3f();
```

        float resX = ((y * otherZ) - (z * otherY));

        float resY = ((z * otherX) - (x * otherZ));

        float resZ = ((x * otherY) - (y * otherX));

```
        result.set(resX, resY, resZ);
```
```
        return result;
```
```
    }
```
```
    /**
```

     * <code>crossLocal</code> calculates the cross product of this vector with

```
 * a parameter vector v. 
```

     * 自身叉乘（this与参数叉乘，结果存入自身）

```
     * 
```
```
     * @param v
```

     *            the vector to take the cross product of with this.

```
     * @return this.
```
```
     */
```

    public Vector3f crossLocal(Vector3f v) {

        return crossLocal(v.x, v.y, v.z);

```
    }
```
```
    /**
```

     * <code>crossLocal</code> calculates the cross product of this vector with

```
 * a parameter vector v. 
```

     * 自身叉乘（this与参数叉乘，结果存入自身）

```
     * 
```
```
     * @param otherX
```

     *            x component of the vector to take the cross product of with

```
     *            this.
```
```
     * @param otherY
```

     *            y component of the vector to take the cross product of with

```
     *            this.
```
```
     * @param otherZ
```

     *            z component of the vector to take the cross product of with

```
     *            this.
```
```
     * @return this.
```
```
     */
```

    public Vector3f crossLocal(float otherX, float otherY, float otherZ) {

        float tempx = (y * otherZ) - (z * otherY);

        float tempy = (z * otherX) - (x * otherZ);

        z = (x * otherY) - (y * otherX);

```
        x = tempx;
```
```
        y = tempy;
```
```
        return this;
```
```
    }
```
```
    /**
```

     * <code>length</code> calculates the magnitude of this vector.<br/>

```
     * 向量长度
```
```
     * 
```

     * @return the length or magnitude of the vector.

```
     */
```
```
    public float length() {
```

        return FastMath.sqrt(lengthSquared());

```
    }
```
```
    /**
```

     * <code>lengthSquared</code> calculates the squared value of the magnitude

```
 * of the vector. 
```
```
     * 向量长度平方
```
```
     * 
```

     * @return the magnitude squared of the vector.

```
     */
```
```
    public float lengthSquared() {
```
```
        return x * x + y * y + z * z;
```
```
    }
```
```
    /**
```

     * <code>distanceSquared</code> calculates the distance squared between this

```
 * vector and vector v. 
```

     * 向量this与参赛v间的距离平方

```
     * 
```
```
     * @param v
```

     *            the second vector to determine the distance squared.

     * @return the distance squared between the two vectors.

```
     */
```

    public float distanceSquared(Vector3f v) {

```
        double dx = x - v.x;
```
```
        double dy = y - v.y;
```
```
        double dz = z - v.z;
```

        return (float) (dx * dx + dy * dy + dz * dz);

```
    }
```
```
    /**
```

     * <code>distance</code> calculates the distance between this vector and

```
 * vector v. 
```

     * 向量this与参赛v间的距离

```
     * 
```
```
     * @param v
```

     *            the second vector to determine the distance.

     * @return the distance between the two vectors.

```
     */
```

    public float distance(Vector3f v) {

        return FastMath.sqrt(distanceSquared(v));

```
    }
```
```
    /**
```

     * <code>mult</code> multiplies this vector by a scalar. The resultant

     * vector is returned. "this" is not modified.<br/>

```
     * 向量标量乘
```
```
     * 
```
```
     * @param scalar
```

     *            the value to multiply this vector by.

```
     * @return the new vector.
```
```
     */
```

    public Vector3f mult(float scalar) {

        return new Vector3f(x * scalar, y * scalar, z * scalar);

```
    }
```
```
    /**
```
```
     * 
```

     * <code>mult</code> multiplies this vector by a scalar. The resultant

     * vector is supplied as the second parameter and returned. "this" is not

```
 * modified. 
```

     * 向量标量乘，结果存入product。

```
     * 
```
```
     * @param scalar
```

     *            the scalar to multiply this vector by.

```
     * @param product
```

     *            the product to store the result in.

```
     * @return product
```
```
     */
```

    public Vector3f mult(float scalar, Vector3f product) {

```
        if (null == product) {
```
```
            product = new Vector3f();
```
```
        }
```
```
        product.x = x * scalar;
```
```
        product.y = y * scalar;
```
```
        product.z = z * scalar;
```
```
        return product;
```
```
    }
```
```
    /**
```

     * <code>multLocal</code> multiplies this vector by a scalar internally, and

     * returns a handle to this vector for easy chaining of calls.<br/>

```
     * 向量标量乘this
```
```
     * 
```
```
     * @param scalar
```

     *            the value to multiply this vector by.

```
     * @return this
```
```
     */
```

    public Vector3f multLocal(float scalar) {

```
        x *= scalar;
```
```
        y *= scalar;
```
```
        z *= scalar;
```
```
        return this;
```
```
    }
```
```
    /**
```

     * <code>multLocal</code> multiplies a provided vector to this vector

     * internally, and returns a handle to this vector for easy chaining of

     * calls. If the provided vector is null, null is returned. The provided

```
 * 'vec' is not modified. 
```

     * 向量标量乘一个向量（对应的x、y、z分量分别相乘），结果改变this

```
     * 
```
```
     * @param vec
```

     *            the vector to mult to this vector.



  


  
    
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      3x3矩阵类
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      四元数
    
  
  
    
      2009-11-11 13:50
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