Mtrx3D.appendScale()

Matrix3D. appendScale()と同じ計算の関数を作ってみる。
appendScale(xScale:Number, yScale:Number, zScale:Number):void
実体行列.appendScale(xの拡大値,yの拡大値,zの拡大値)

▼Wonderfl

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

処理としてはパラメーターで作った行列にentity行列をappendする。

パラメーターで作る行列はscaleを変えるだけなので対角行列になる。以下の図のような計算になるので、行列は作らずに、対応する要素毎に乗算する。
　

　
　

　
　
[sourcecode language=”as3″]
/*
Matrix3D.appendScale();
と同じ機能の関数を作ってみる。

処理としては
パラメーターで作った行列にentity行列をappendする。

パラメーターで作る行列は
scaleを変えるだけなので対角行列になるが、
これはめんどくさいだけなので、
行列は作らずに、対応する要素毎に乗算するのみ。

各要素をrandomで値を入れて、appendScaleし、
行列の各要素を比較して確認とした。

appendScale
http://help.adobe.com/ja_JP/AS3LCR/Flash_10.0/flash/geom/Matrix3D.html#appendScale()

*/
package {
import flash.display.Sprite;
import flash.events.Event;
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();
addEventListener(Event.ENTER_FRAME, ENTER_FRAME);
}
private function setTex():void {
var txt:String = "◆同機能関数Mtrx3D.appendScale" + Capabilities.version + "での実行結果\n\n";
var builtinRawData:Vector.<Number>=builtinEntity.rawData;
txt+="↓Matrix3D.appendScaleの結果\n"+builtinRawData+"\n";
var mtrx3DRawData:Vector.<Number>=mtrx3DEntity.rawData;
txt+="\n↓同機能関数Mtrx3D.appendScaleの結果\n"+mtrx3DRawData+"\n\n";
txt+=Util.hikaku(builtinRawData,mtrx3DRawData);
tf.text = txt;
}

private function TIMER(e:TimerEvent):void {
if (Math.random() < 0.5) {
//たまには初期化してやらないと、画面から外れ続けてしまうので。
builtinEntity.identity();
mtrx3DEntity.identity();
}
var xScale:Number = Math.random() * 10 – 5;
var yScale:Number = Math.random() * 10 – 5;
var zScale:Number = Math.random() * 10 – 5;
//計算
builtinEntity.appendScale(xScale, yScale, zScale);
Mtrx3D.appendScale(mtrx3DEntity, xScale, yScale, zScale);
setTex();
}
private function ENTER_FRAME(e:Event):void {
var temp:Vector3D;
temp = builtinEntity.decompose()[2].add(builtinRect.transform.matrix3D.decompose()[2]);
temp.scaleBy(0.5);
builtinRect.scaleX = temp.x;
builtinRect.scaleY = temp.y;
builtinRect.scaleZ = temp.z;

temp = mtrx3DEntity.decompose()[2].add(mtrx3DRect.transform.matrix3D.decompose()[2]);
temp.scaleBy(0.5);
mtrx3DRect.scaleX = temp.x;
mtrx3DRect.scaleY = temp.y;
mtrx3DRect.scaleZ = temp.z;
}
}
}

class Mtrx3D{
import flash.geom.Matrix3D;
public static function appendScale(entity:Matrix3D,xScale:Number,yScale:Number,zScale:Number):void {
var e:Vector.<Number>=Vector.<Number>(entity.rawData);
e[0]*=xScale;
e[1]*=yScale;
e[2]*=zScale;
e[4]*=xScale;
e[5]*=yScale;
e[6]*=zScale;
e[8]*=xScale;
e[9]*=yScale;
e[10]*=zScale;
e[12]*=xScale;
e[13]*=yScale;
e[14]*=zScale;
entity.rawData=e;
}

}

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(比)\n";
var _n:int=v0.length;
for (var i:int = 0; i < _n; i++) {
if (v0[i]==v1[i]) {
_str += "["+i+"]:"+(v0[i]-v1[i])+"\n";
}else{
_str += "[" + i + "]:" +(v0[i]-v1[i])+"("+ (v0[i] – v1[i]) / ((v0[i] + v1[i]) * 0.5) + ")\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]