Matrix3D.append()

Matrix3D.append()と同じ計算の関数を作ってみる。
append(lhs:Matrix3D):void

▼Wonderfl

Matrix3D.append()メソッドについて
http://help.adobe.com/ja_JP/AS3LCR/Flash_10.0/flash/geom/Matrix3D.html#append()

実体行列.append(引数行列)
のとき、
実体行列＝引数行列×実体行列
になる。
これがヘルプにある
thisMatrix = lhs * thisMatrix;
の意味。

10,0,22,87未満では*20のバグがあった。

[sourcecode language=”as3″]
class Mtrx3D{
import flash.geom.Matrix3D;
public static function append(_entity:Matrix3D, _parameter:Matrix3D):void {
//動作確認。
//MAC 10,0,2,54,MAC 10,0,12,36,MAC 10,0,22,87
//WIN 10,0,22,87
var e:Vector.<Number>=_entity.rawData;
var p:Vector.<Number>=_parameter.rawData;
var pe:Vector.<Number> = new Vector.<Number>();

//バグ対応。10,0,22,87未満の場合バグを含むように。
var bug:int = 1;
if(Util.version() <1000022087){
bug = 20;
}

pe[0] = p[0]*e[0]+p[4]*e[1]+p[8]*e[2]+p[12]*e[3]*bug;
pe[1] = p[1]*e[0]+p[5]*e[1]+p[9]*e[2]+p[13]*e[3]*bug;
pe[2] = p[2]*e[0]+p[6]*e[1]+p[10]*e[2]+p[14]*e[3]*bug;
pe[3] = p[3]*e[0]+p[7]*e[1]+p[11]*e[2]+p[15]*e[3];

pe[4] = p[0]*e[4]+p[4]*e[5]+p[8]*e[6]+p[12]*e[7]*bug;
pe[5] = p[1]*e[4]+p[5]*e[5]+p[9]*e[6]+p[13]*e[7]*bug;
pe[6] = p[2]*e[4]+p[6]*e[5]+p[10]*e[6]+p[14]*e[7]*bug;
pe[7] = p[3]*e[4]+p[7]*e[5]+p[11]*e[6]+p[15]*e[7];

pe[8] = p[0]*e[8]+p[4]*e[9]+p[8]*e[10]+p[12]*e[11]*bug;
pe[9] = p[1]*e[8]+p[5]*e[9]+p[9]*e[10]+p[13]*e[11]*bug;
pe[10] = p[2]*e[8]+p[6]*e[9]+p[10]*e[10]+p[14]*e[11]*bug;
pe[11] = p[3]*e[8]+p[7]*e[9]+p[11]*e[10]+p[15]*e[11];

pe[12] = p[0]*e[12]+p[4]*e[13]+p[8]*e[14]+p[12]*e[15];
pe[13] = p[1]*e[12]+p[5]*e[13]+p[9]*e[14]+p[13]*e[15];
pe[14] = p[2]*e[12]+p[6]*e[13]+p[10]*e[14]+p[14]*e[15];
pe[15] = p[3]*e[12]*bug+p[7]*e[13]*bug+p[11]*e[14]*bug+p[15]*e[15];

_entity.rawData=pe;
}
}
[/sourcecode]

▼関連
Pixel Bender使って高速化
http://unbland.org/blog/2008/05/29/27.html
　
行列の基本はこちら
◆変換行列を数学的に捉える
http://www.fumiononaka.com/Sample/F-site/FF081115.html
http://www.fumiononaka.com/TechNotes/Flash/FN0811001.html

Matrix3Dの基本はこちら
◆Matrix3Dクラス － 変換行列2
http://www.adobe.com/jp/devnet/flash/articles/matrix3d_class.html
http://www.fumiononaka.com/TechNotes/Flash/FN0810003.html
　
　
▼ActionScript AS3(FP10)
[sourcecode language=”as3″]
/*
Matrix3D.append();
と同じ機能の関数を作ってみる。

各要素をrandomで値を入れて、appendする。

赤い四角がビルトイン関数の計算結果。
青い丸が同機能関数(mtrx3D)の計算結果。

10,0,22,87より前のプラグインバグがあったので、
ところどころ20倍している。

【参考】
http://help.adobe.com/ja_JP/AS3LCR/Flash_10.0/flash/geom/Matrix3D.html#append()
*/
package {
import flash.display.Sprite;
import flash.events.TimerEvent;
import flash.geom.Matrix3D;
import flash.text.TextField;
import flash.geom.Vector3D;
import flash.system.Capabilities;
import flash.utils.Timer;
public class Main extends Sprite {
private var builtinStage:Sprite = Create.newSprite( { x:stage.stageWidth / 2, y:stage.stageWidth/2 } );
private var mtrx3DStage:Sprite = Create.newSprite( { x:stage.stageWidth / 2, y:stage.stageWidth/2 } );
//ビルトイン関数用の赤い四角
private var builtinRect:Sprite = Create.newSprite( { z:0 }, Create.drawRect( { x: -50, y: -50, width:100, height:100, color:0xFF0000 , alpha:0.5 } ));
//同機能関数(mtrx3D)用の青い丸
private var mtrx3DRect:Sprite = Create.newSprite( { z:0 }, Create.drawCircle( { radius:50, color:0x0000FF , alpha:0.5 } ));
private var tf:TextField = Create.newTextField( { width:stage.stageWidth, height:stage.stageHeight, wordWrap:true } );
//確認用の値を用意
private var builtinEntity:Matrix3D=new Matrix3D();
private var mtrx3DEntity:Matrix3D=new Matrix3D();
public function Main() {

addChild(tf);
addChild(builtinStage);
addChild(mtrx3DStage);
builtinStage.addChild(builtinRect);
mtrx3DStage.addChild(mtrx3DRect);

var myTimer:Timer = new Timer(1000);
myTimer.addEventListener(TimerEvent.TIMER, TIMER);
myTimer.start();

}
private function setTex():void {
var txt:String = "◆同機能関数Mtrx3D.append　" + Capabilities.version + "での実行結果\n\n";
var builtinRawData:Vector.<Number>=builtinEntity.rawData;
txt+="↓Matrix3D.appendの結果\n"+builtinRawData+"\n";
var mtrx3DRawData:Vector.<Number>=mtrx3DEntity.rawData;
txt+="\n↓同機能関数Mtrx3D.appendの結果\n"+mtrx3DRawData+"\n\n";
txt+=Util.hikaku(builtinRawData,mtrx3DRawData);
tf.text = txt;
}

private function TIMER(e:TimerEvent):void {
var parameter:Matrix3D = Util.randomMatrix3D();
if (Math.random() < 0.5) {
//たまにはこれをやらないと、加算が続いて、Infinityになるので。
builtinEntity.identity();
mtrx3DEntity.identity();
}
//計算
builtinEntity.append(parameter.clone());
Mtrx3D.append(mtrx3DEntity, parameter.clone());
builtinRect.transform.matrix3D.recompose(builtinEntity.decompose());
mtrx3DRect.transform.matrix3D.recompose(mtrx3DEntity.decompose());
setTex();
}
}
}

class Mtrx3D{
import flash.geom.Matrix3D;
public static function append(_entity:Matrix3D, _parameter:Matrix3D):void {
//動作確認。
//MAC 10,0,2,54,MAC 10,0,12,36,MAC 10,0,22,87
//WIN 10,0,22,87
var e:Vector.<Number>=_entity.rawData;
var p:Vector.<Number>=_parameter.rawData;
var pe:Vector.<Number> = new Vector.<Number>();

//バグ対応。10,0,22,87未満の場合バグを含むように。
var bug:int = 1;
if(Util.version() <1000022087){
bug = 20;
}

pe[0] = p[0]*e[0]+p[4]*e[1]+p[8]*e[2]+p[12]*e[3]*bug;
pe[1] = p[1]*e[0]+p[5]*e[1]+p[9]*e[2]+p[13]*e[3]*bug;
pe[2] = p[2]*e[0]+p[6]*e[1]+p[10]*e[2]+p[14]*e[3]*bug;
pe[3] = p[3]*e[0]+p[7]*e[1]+p[11]*e[2]+p[15]*e[3];

pe[4] = p[0]*e[4]+p[4]*e[5]+p[8]*e[6]+p[12]*e[7]*bug;
pe[5] = p[1]*e[4]+p[5]*e[5]+p[9]*e[6]+p[13]*e[7]*bug;
pe[6] = p[2]*e[4]+p[6]*e[5]+p[10]*e[6]+p[14]*e[7]*bug;
pe[7] = p[3]*e[4]+p[7]*e[5]+p[11]*e[6]+p[15]*e[7];

pe[8] = p[0]*e[8]+p[4]*e[9]+p[8]*e[10]+p[12]*e[11]*bug;
pe[9] = p[1]*e[8]+p[5]*e[9]+p[9]*e[10]+p[13]*e[11]*bug;
pe[10] = p[2]*e[8]+p[6]*e[9]+p[10]*e[10]+p[14]*e[11]*bug;
pe[11] = p[3]*e[8]+p[7]*e[9]+p[11]*e[10]+p[15]*e[11];

pe[12] = p[0]*e[12]+p[4]*e[13]+p[8]*e[14]+p[12]*e[15];
pe[13] = p[1]*e[12]+p[5]*e[13]+p[9]*e[14]+p[13]*e[15];
pe[14] = p[2]*e[12]+p[6]*e[13]+p[10]*e[14]+p[14]*e[15];
pe[15] = p[3]*e[12]*bug+p[7]*e[13]*bug+p[11]*e[14]*bug+p[15]*e[15];

_entity.rawData=pe;
}
}

import flash.geom.Matrix3D;
import flash.geom.Vector3D;
class Util {
import flash.system.Capabilities;
public static function version():uint{
var ver_array:Array = Capabilities.version.substr(4).split(",");
return int(ver_array[0])*100000000+int(ver_array[1])*1000000+int(ver_array[2])*1000+int(ver_array[3]);
}

public static function hikaku(v0:Vector.<Number>,v1:Vector.<Number>):String {
var _str:String="↓二つのMatrixの要素毎の差\n";
var _n:int=v0.length;
for (var i:int=0; i<_n; i++) {
_str += "["+i+"]:"+(v0[i]-v1[i])+"\n";
}
return _str;
}

public static function random16():Vector.<Number> {
var _v:Vector.<Number>=new Vector.<Number>(16,true);
for (var i:int=0; i<16; i++) {
_v[i]=Math.random()*200-100;
}
return _v;
}
public static function randomMatrix3D():Matrix3D{
var mt:Matrix3D = new Matrix3D();
var v:Vector.<Vector3D>=new Vector.<Vector3D>(3);
v[0]=new Vector3D(200*Math.random()-100,200*Math.random()-100,200*Math.random()-100);//平行移動、
v[1]=new Vector3D(10*Math.random()-5,10*Math.random()-5,10*Math.random()-5);//回転
v[2] = new Vector3D(3 * Math.random(), 3 * Math.random(), 3 * Math.random());//拡大 / 縮小
mt.recompose(v);
return new Matrix3D(mt.rawData);
}
}

import flash.display.DisplayObject;
import flash.display.Graphics;
import flash.text.TextField;
import flash.text.TextFieldType;
import flash.text.TextFormat;
import flash.display.Sprite;
import flash.display.Shape;
import flash.display.SimpleButton;

class Create{
public static var defaultTextFormat:TextFormat = new TextFormat();

public static function newSimpleButton(x_y_w_h_txt:Array = null,property:Array=null,graphics:Array=null):SimpleButton{

var _x:Number = x_y_w_h_txt[0];
var _y:Number = x_y_w_h_txt[1];
var _width:Number = x_y_w_h_txt[2];
var _height:Number = x_y_w_h_txt[3];
var _text:String = x_y_w_h_txt[4];

var upState:Sprite = newSprite({x:_x,y:_y},{graphics:toDrawRect({color:0xCCCCCC,width:_width,height:_height,round:8})});
upState.addChild(newShape({x:2,y:2},{graphics:toDrawRect({color:0xE5E5E5,width:_width-4,height:_height-4,round:6})}));
var overState:Sprite = newSprite({x:_x,y:_y},{graphics:toDrawRect({color:0xBBBBBB,width:_width,height:_height,round:8})});
overState.addChild(newShape({x:2,y:2},{graphics:toDrawRect({color:0xEEEEEE,width:_width-4,height:_height-4,round:6})}));
var downState:Sprite = newSprite({x:_x,y:_y},{graphics:toDrawRect({color:0xAAAAAA,width:_width,height:_height,round:8})});
downState.addChild(newShape({x:2,y:2},{graphics:toDrawRect({color:0xDDDDDD,width:_width-4,height:_height-4,round:6})}));
var hitTestState:Shape = newShape({x:_x,y:_y},{graphics:toDrawRect({width:_width,height:_height,round:8})});

if(x_y_w_h_txt[4]){
upState.addChild(newTextField({x:0,y:2,width:x_y_w_h_txt[2],height:x_y_w_h_txt[3]-2,text:x_y_w_h_txt[4],setTextFormat:[{font:"_sans",align:"center"}]}));
overState.addChild(newTextField({x:0,y:2,width:x_y_w_h_txt[2],height:x_y_w_h_txt[3]-2,text:x_y_w_h_txt[4],setTextFormat:[{font:"_sans",align:"center"}]}));
downState.addChild(newTextField({x:0,y:3,width:x_y_w_h_txt[2],height:x_y_w_h_txt[3]-3,text:x_y_w_h_txt[4],setTextFormat:[{font:"_sans",align:"center"}]}));
}
var sb:SimpleButton = new SimpleButton(upState,overState,downState,hitTestState);

return sb;
}
public static function toDrawRect(… args):Array{
var _x:Number = args[0]["x"]?args[0]["x"]:0;
var _y:Number = args[0]["y"]?args[0]["y"]:0;
var _width:Number = args[0]["width"]?args[0]["width"]:100;
var _height:Number = args[0]["height"]?args[0]["height"]:100;
var _color:Number = args[0]["color"]?args[0]["color"]:0xFF0000;
var _alpha:Number = args[0]["alpha"]?args[0]["alpha"]:1;
var _round:Number = args[0]["round"]?args[0]["round"]:0;
var _lineSize:Number = args[0]["lineSize"]?args[0]["lineSize"]:0;
var _lineColor:Number = args[0]["lineColor"]?args[0]["lineColor"]:0;
var _lineAlpha:Number = args[0]["lineAlpha"]?args[0]["lineAlpha"]:0;
var _ellipseWidth:Number = args[0]["ellipseWidth"]?args[0]["ellipseWidth"]:_round;
var _ellipseHeight:Number = args[0]["ellipseHeight"]?args[0]["ellipseHeight"]:_ellipseWidth;
return [{beginFill:[_color,_alpha]},{drawRoundRect:[_x,_y,_width,_height,_ellipseWidth,_ellipseHeight]}];
}
public static function drawRect(… args):Object{
var _x:Number = args[0]["x"]?args[0]["x"]:0;
var _y:Number = args[0]["y"]?args[0]["y"]:0;
var _width:Number = args[0]["width"]?args[0]["width"]:100;
var _height:Number = args[0]["height"]?args[0]["height"]:100;
var _color:Number = args[0]["color"]?args[0]["color"]:0xFF0000;
var _alpha:Number = args[0]["alpha"]?args[0]["alpha"]:1;
var _round:Number = args[0]["round"]?args[0]["round"]:0;
var _lineSize:Number = args[0]["lineSize"]?args[0]["lineSize"]:0;
var _lineColor:Number = args[0]["lineColor"]?args[0]["lineColor"]:0;
var _lineAlpha:Number = args[0]["lineAlpha"]?args[0]["lineAlpha"]:0;
var _ellipseWidth:Number = args[0]["ellipseWidth"]?args[0]["ellipseWidth"]:_round;
var _ellipseHeight:Number = args[0]["ellipseHeight"]?args[0]["ellipseHeight"]:_ellipseWidth;
var resultObj:Object;
if(_round || _ellipseWidth || _ellipseHeight){
resultObj = { graphics:[ { beginFill:[_color, _alpha] }, { drawRoundRect:[_x, _y, _width, _height, _ellipseWidth, _ellipseHeight] } ] };
}else {
resultObj = { graphics:[ { beginFill:[_color, _alpha] }, { drawRect:[_x, _y, _width, _height] } ] };
}
return resultObj;
}
public static function drawCircle(… args):Object{
var _x:Number = args[0]["x"]?args[0]["x"]:0;
var _y:Number = args[0]["y"]?args[0]["y"]:0;
var _color:Number = args[0]["color"]?args[0]["color"]:0xFF0000;
var _alpha:Number = args[0]["alpha"]?args[0]["alpha"]:1;
var _r:Number = args[0]["r"]?args[0]["r"]:100;
var _radius:Number = args[0]["radius"]?args[0]["radius"]:_r;
var _width:Number = args[0]["width"]?args[0]["width"]:_radius;
var _height:Number = args[0]["height"]?args[0]["height"]:_radius;
var _lineSize:Number = args[0]["lineSize"]?args[0]["lineSize"]:0;
var _lineColor:Number = args[0]["lineColor"]?args[0]["lineColor"]:0;
var _lineAlpha:Number = args[0]["lineAlpha"]?args[0]["lineAlpha"]:0;
var resultObj:Object;
if(_width == _height){
resultObj = { graphics:[ { beginFill:[_color, _alpha] }, { drawCircle:[_x, _y, _radius] } ] };
}else {
resultObj = { graphics:[ { beginFill:[_color, _alpha] }, { drawEllipse:[_x, _y, _width, _height] } ] };
}
return resultObj;
}

public static function newShape(… args):Shape{
var sp:Shape;
var _str:String;
var _length:int = args.length;
for (var i:int = 0; i < _length; i++) {
var _obj:Object = args[i];
if(i == 0){
if(_obj.Shape){
sp = _obj.Shape;
}else{
sp = new Shape();
}
}
if(_obj.graphics){
for (var j:int = 0; j < _obj.graphics.length; j++) {
if(_obj.graphics[j]){
for (_str in _obj.graphics[j]) {
//trace(_str,_obj.graphics[j][_str])
sp.graphics[_str].apply(null, _obj.graphics[j][_str]);
}
}
}
}
for (_str in _obj) {
if(_str != "Shape" && _str != "graphics"){
sp[_str] = _obj[_str];
}
}
}
return sp;
}
public static function newSprite(… args):Sprite{
var sp:Sprite;
var _str:String;
var _length:int = args.length;
for (var i:int = 0; i < _length; i++) {
var _obj:Object = args[i];
if(i == 0){
if(_obj.Sprite){
sp = _obj.Sprite;
}else{
sp = new Sprite();
}
}
if(_obj.graphics){
for (var j:int = 0; j < _obj.graphics.length; j++) {
if(_obj.graphics[j]){
for (_str in _obj.graphics[j]) {
sp.graphics[_str].apply(null, _obj.graphics[j][_str]);
}
}
}
}
for (_str in _obj) {
if(_str != "Sprite" && _str != "graphics" && _str != "addChild"){
sp[_str] = _obj[_str];
}
}
if(_obj.addChild){
sp.addChild(_obj.addChild);
}
}
return sp;
}
public static function newTextField(… args):TextField{
var ta:TextField = new TextField();
ta.defaultTextFormat = defaultTextFormat;
var _length:int = args.length;
for (var i:int = 0; i < _length; i++) {
var _obj:Object = args[i];
for (var _str:String in _obj) {
if(_str != "setTextFormat"){
ta[_str] = _obj[_str];
}
}
if(_obj.setTextFormat){
var format:TextFormat = new TextFormat();
if(_obj.setTextFormat[0] is TextFormat){
format = _obj.setTextFormat[0];
}else{
for (var tf_str:String in _obj.setTextFormat[0]) {
format[tf_str] = _obj.setTextFormat[0][tf_str];
}
}
ta.setTextFormat(format,isNaN(_obj.setTextFormat[1])?-1:_obj.setTextFormat[1],isNaN(_obj.setTextFormat[2])?-1:_obj.setTextFormat[2]);
}
}
return ta;
}
}

[/sourcecode]