[教程]《Flash编程与创意实现》- Vector3D类

//原作者:Robert Penner
//AS2.0改写:wiyiflash
//欢迎访问:http://www.wiyiflash.com/bbs
//-------------------------------------------------------
//Vector3D类提供了Flash里的3D空间内的矢量运算功能

import ExtMath;
class Vector3D {
var x:Number;
var y:Number;
var z:Number;
// 构造函数
public function Vector3D(x:Number, y:Number, z:Number) {
this.x = x;
this.y = y;
this.z = z;
}
// 用于返回属性值的方法
public function toString():String {
return ("["+x+","+y+","+z+"]");
}
//改变属性值的方法
public function reset(x:Number, y:Number, z:Number):Void {
with (this) {
__constructor__(x, y, z);
}
}
//克隆向量.与mx不同//!!!!!!
public function getClone():Vector3D {
with (this) {
return new __constructor__(x, y, z);
}
}
//比较相等否
public function equals(v:Vector3D):Boolean {
return (x == v.x && y == v.y && z == v.z);
}
//向量加法
public function plus(v:Vector3D):Void {
x += v.x;
y += v.y;
z += v.z;
}
//向量加法得到新向量
public function plusNew(v:Vector3D):Vector3D {
with (this) {
return new __constructor__(x+v.x, y+v.y, z+v.z);
}
}
//向量减法
public function minus(v:Vector3D):Void {
x -= v.x;
y -= v.y;
z -= v.z;
}
//向量减法得到新向量
public function minusNew(v:Vector3D):Vector3D {
with (this) {
return new Vector3D(x-v.x, y-v.y, z-v.z);
}
}
//向量缩放
public function scale(n:Number):Void {
x *= n;
y *= n;
z *= n;
}
//向量缩放得到新向量
public function scaleNew(n:Number):Vector3D {
with (this) {
return new __constructor__(x*n, y*n, z*n);
}
}
//得到向量的长度
public function getLength():Number {
return Math.sqrt(x*x+y*y+z*z);
}
//设置向量长度
public function setLength(len:Number):Void {
var r = this.getLength();
if (r) {
scale(len/r);
} else {
x = len;
}
}
//点积
public function dot(v:Vector3D):Number {
return x*v.x+y*v.y+z*v.z;
}
//叉积
public function cross(v:Vector3D):Vector3D {
with (this) {
var cx = y*v.z-z*v.y;
var cy = z*v.x-x*v.z;
var cz = x*v.y-y*v.x;
return new __constructor__(cx, cy, cz);
}
}
public function angleBetween(v:Vector3D):Number {
var dp = dot(v);
var cosAngle = dp/(getLength()*v.getLength());
return ExtMath.acosD(cosAngle);
}
//透视比例
public function getPerspective(viewDist:Number):Number {
if (viewDist == undefined) {
viewDist = 300;
}
if (viewDist == Infinity) {
return 1;
}
return viewDist/(viewDist+z);
}
//投影
function persProject(p:Number) {
with (this) {
if (p == undefined) {
p = getPerspective();
}
x *= p;
y *= p;
z = 0;
}
}
//将投影作为新对象返回
function persProjectNew(p:Number) {
with (this) {
if (p == undefined) {
p = getPerspective();
}
return new __constructor__(p*x, p*y, 0);
}
}
//rotate 相关
public function rotateX(angle:Number):Void {
with (ExtMath) {
var ca = cosD(angle);
var sa = sinD(angle);
}
with (this) {
var tempY = y*ca-z*sa;
var tempZ = y*sa+z*ca;
y = tempY;
z = tempZ;
}
}
function rotateXTrig(ca:Number, sa:Number):Void {
with (this) {
var tempY = y*ca-z*sa;
var tempZ = y*sa+z*ca;
y = tempY;
z = tempZ;
}
}
function rotateY(angle:Number):Void {
with (ExtMath) {
var ca = cosD(angle);
var sa = sinD(angle);
}
with (this) {
var tempX = x*ca+z*sa;
var tempZ = x*-sa+z*ca;
x = tempX;
z = tempZ;
}
}
function rotateYTrig(ca:Number, sa:Number):Void {
with (this) {
var tempX = x*ca+z*sa;
var tempZ = x*-sa+z*ca;
x = tempX;
z = tempZ;
}
}
function rotateZ(angle:Number):Void {
with (ExtMath) {
var ca = cosD(angle);
var sa = sinD(angle);
}
with (this) {
var tempX = x*ca-y*sa;
var tempY = x*sa+y*ca;
x = tempX;
y = tempY;
}
}
function rotateZTrig(ca:Number, sa:Number):Void {
with (this) {
var tempX = x*ca-y*sa;
var tempY = x*sa+y*ca;
x = tempX;
y = tempY;
}
}
//绕xy旋转
function rotateXY(a:Number, b:Number):Void {
with (ExtMath) {
var ca = cosD(a);
var sa = sinD(a);
var cb = cosD(b);
var sb = sinD(b);
}
with (this) {
//绕x
var rz = y*sa+z*ca;
y = y*ca-z*sa;
//绕y
z = x*-sb+rz*cb;
x = x*cb+rz*sb;
}
}
//接受四个参数的绕xy旋转先x后y.先c后s.
function rotateXYTrig(ca:Number, sa:Number, cb:Number, sb:Number):Void {
with (this) {
//绕x
var rz = y*sa+z*ca;
y = y*ca-z*sa;
//绕y
z = x*-sb+rz*cb;
x = x*cb+rz*sb;
}
}
//绕xyz轴旋转
function rotateXYZ(a:Number, b:Number, c:Number):Void {
with (ExtMath) {
var ca = cosD(a);
var sa = sinD(a);
var cb = cosD(b);
var sb = sinD(b);
var cc = cosD(c);
var sc = sinD(c);
}
with (this) {
//x轴
var ry = y*ca-z*sa;
var rz = y*sa+z*ca;
//y轴
var rx = x*cb+rz*sb;
z = x*-sb+rz*cb;
//z轴
x = rx*cc-ry*sc;
y = rx*sc+ry*cc;
}
}
function rotateXYZTrig(ca:Number, sa:Number, cb:Number, sb:Number, cc:Number, sc:Number):Void {
with (this) {
//x轴
var ry = y*ca-z*sa;
var rz = y*sa+z*ca;
//y轴
var rx = x*cb+rz*sb;
z = x*-sb+rz*cb;
//z轴
x = rx*cc-ry*sc;
y = rx*sc+ry*cc;
}
}
}

[From 维艺--Flash论坛]

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