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forked from: radian角度をπ範囲に丸める

@see http://tail.s288.xrea.com/open/index.php?%A5%E1%A5%E2%BD%F1%A4%AD%2Fradian%B3%D1%C5%D9%A4%F2%A6%D0%C8%CF%B0%CF%A4%CB%B4%DD%A4%E1%A4%EB
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by kyogoku 02 Sep 2009
  • Forked from uwi's radian角度をπ範囲に丸める
  • Diff: 73
  • Related works: 1
  • Talk

    kyogoku at 02 Sep 2009 09:14
    Also see: http://twitter.com/kyogoku/status/3702181397 > 昨日の話だけど、@tail_y やんの言ってた rad を ±pi 範囲に収める方法、計算コストを無駄に高めているのが、flash の % の仕様よねぇ。
    kyogoku at 02 Sep 2009 09:14
    http://twitter.com/kyogoku/status/3702227133 > 普通は、% は数学的な mod と同じ仕様になってる (e.g. Goog Calc/Python : 10 % 3 = 1、-10 % 3 = 2)。だから、%で割って、pi 以上なら -2pi するだけでよかった。
    kyogoku at 02 Sep 2009 09:14
    http://twitter.com/kyogoku/status/3702297247 > 正直、演算子は当然のこと、床関数 (=Math.floor) の計算コストも低いみたいだから (切り捨てで良いんだから当然よね)、振幅幅を半分下げた Sawtooth wave を使った chibitami さんの回答が一番合理的だよなぁと思った。実際、早かったしね。
    kyogoku at 02 Sep 2009 09:15
    http://twitter.com/kyogoku/status/3702332893 http://twitter.com/kyogoku/status/3702390574 > ただ、計算コストはかなり低めに抑えつつ、可読性を抑えておくなら、rad %= Math.PI2.0; rad += Math.PI2.0; rad %= Math.PI*2.0; (rad > Math.PI) ? (rad-Math.PI*2.0) : (rad); がかなり高速。
    kyogoku at 02 Sep 2009 09:15
    http://twitter.com/kyogoku/status/3702434906 > 二度 mod 使ってるのが美しくない・・・ とりあえず、 % の仕様は数学の modular と等価にしようぜ・・・
    Embed
/**
 * Copyright kyogoku ( http://wonderfl.net/user/kyogoku )
 * MIT License ( http://www.opensource.org/licenses/mit-license.php )
 * Downloaded from: http://wonderfl.net/c/9xis
 */

// forked from uwi's radian角度をπ範囲に丸める
// forked from AtuyL's radian角度をπ範囲に丸める
// forked from kaikoga's radian角度をπ範囲に丸める

package {
   4.
import flash.display.*;
import flash.geom.*;
import flash.events.*;
import flash.text.*;
import flash.utils.*;
  10.
// @see http://tail.s288.xrea.com/open/index.php?%A5%E1%A5%E2%BD%F1%A4%AD%2Fradian%B3%D1%C5%D9%A4%F2%A6%D0%C8%CF%B0%CF%A4%CB%B4%DD%A4%E1%A4%EB
public class Main extends Sprite
{
    static private const _NUM_TIMES:uint = 500000;
    static private const _PI:Number = Math.PI;
    static private const _PI2:Number = Math.PI * 2;
    
    static private const A:Number = int.MAX_VALUE / Math.PI;
    static private const B:Number     = Math.PI / int.MAX_VALUE;
            
    private function _init():void
    {
        _debug(
            "各テスト " + _NUM_TIMES + " 回処理させた計算結果 [単位 : ミリ秒]\n" +
            "(誤差は多少生じます)\n"
        );
        
        _measure("からっぽ", function ():void
        {
            for (var i:uint = 0; i < _NUM_TIMES; i++) {
                var angle : Number = Math.random() * 100000 - 50000;
                var res : Number = 3.14;
            }
        });
        
        _measure("tail_y", function ():void
        {
            for (var i:uint = 0; i < _NUM_TIMES; i++) {
                var angle : Number = Math.random() * 100000 - 50000;
                var res : Number = adjustRadian(angle);
            }
        });
        
        _measure("keno42", function ():void
        {
            for (var i:uint = 0; i < _NUM_TIMES; i++) {
                var rad : Number = Math.random() * 100000 - 50000;
                var res : Number = Math.atan2(Math.sin(rad),Math.cos(rad));
            }
        });
        
        _measure("chibitami", function ():void
        {
            for (var i:uint = 0; i < _NUM_TIMES; i++) {
                var rad : Number = Math.random() * 100000 - 50000;
                var res : Number = rad - 2.0 * Math.PI * Math.floor( 0.5 + rad / ( 2.0 * Math.PI ) ) ;
            }
        });
       
        _measure("AtuyL_original", function ():void
        {
            var PI2 : Number = Math.PI * 2; 
            for (var i:uint = 0; i < _NUM_TIMES; i++) {
                var rad : Number = Math.random() * 100000 - 50000;
                rad %= PI2;
                var res : Number = rad - Math.abs(rad) / rad * PI2 * Math.floor(Math.abs(rad) / Math.PI) || 0;
            }
        });
        
        //constと変数を使うことでPIとabsを省力化。これだけで約20%強高速化する。
        _measure("AtuyL_optimized", function ():void
        {
            var _abs : Number;
            for (var i:uint = 0; i < _NUM_TIMES; i++) {
                var rad : Number = Math.random() * 100000 - 50000;
                rad %= _PI2;
                _abs = Math.abs(rad);
                var res : Number = rad - _abs / rad * _PI2 * Math.floor(_abs / _PI);
            }
        });
  81.
        _measure("bk-zen", function ():void
        {
            for (var i:uint = 0; i < _NUM_TIMES; i++) {
                var angle : Number = Math.random() * 100000 - 50000;
                var res : Number = Math.sin((angle < 0 ? -angle : angle) % Math.PI > Math.PI / 2 ? - angle % Math.PI : angle % Math.PI) * Math.PI;
            }
        });
        
        _measure("uwitenpen", function ():void
        {
            for (var i:uint = 0; i < _NUM_TIMES; i++) {
                var angle : Number = Math.random() * 100000 - 50000;
                var res : Number = angle > 0 ? ((angle % (Math.PI * 2)) - Math.PI) : (Math.PI - (-angle % (Math.PI * 2)));
            }
        });
        
        _measure("ma1on", function ():void
        {
            for (var i:uint = 0; i < _NUM_TIMES; i++) {
                var angle : Number = Math.random() * 100000 - 50000;
                var res : Number = adjustRadianM(angle);
            }
        });
        
        _measure("kaikoga", function ():void
        {
            for (var i:uint = 0; i < _NUM_TIMES; i++) {
                var rad : Number = Math.random() * 100000 - 50000;
                var res : Number = int(rad * A) * B;
            }
        });
        
        //回数によってこっちの方が速くなったり遅くなったり
        _measure("kaikoga_literal", function ():void
        {
            for (var i:uint = 0; i < _NUM_TIMES; i++) {
                var rad : Number = Math.random() * 100000 - 50000;
                var res : Number = int(rad * 683565275.2581217) * 1.462918079948384e-9;
            }
        });
        
        _measure("kyogoku", function ():void
        {
            for (var i:uint = 0; i < _NUM_TIMES; i++) {
                var angle : Number = Math.random() * 100000 - 50000;
		angle %= _PI2; angle += _PI2; angle %= _PI2;
                var res : Number = (angle > _PI) ? (angle-_PI2) : (angle);
            }
        });
        
        _measure("undo", function ():void
        {
            for (var i:uint = 0; i < 10; i++) {
                var angle : Number = Math.random() * 1000;
                while(Math.abs(angle)>180){ angle -= 360; }
            }
        });
        
        _debug("\n結果については言及しませんので, 各自ご判断ください.");
    }
    
    private function adjustRadian(angle:Number):Number{
    var pi:Number = Math.PI;
    if (-pi < angle && angle <= pi) return angle;
    angle %= pi*2;
    if (angle <= -pi) return angle + pi*2;
    if (pi < angle) return angle - pi*2;
    return angle;
    }
    
    private function adjustRadianM(angle:Number):Number
    {
    var tmp:int;
    var pi:Number = Math.PI;
    if (-pi < angle && angle <= pi) return angle;
    tmp = -angle / pi;
    return angle + pi*tmp;
    }
    
    private var _field:TextField;
    private var _time:uint;
    
    public function Main():void
    {
        _setup();
        _init();
    }
    
    private function _measure(title:String, func:Function, ...params):void
    {
        _time = getTimer();
        func.apply(null, params);
        _time = getTimer() - _time;
        
        _debug("[ " + title + " ] --> " + _time + " ms");
    }
    
    private function _debug(log:String):void
    {
        _field.appendText(log + "\n");
    }
    
    private function _setup():void
    {
        _field = new TextField();
        _field.width = stage.stageWidth - 40;
        _field.height = stage.stageHeight - 60;
        _field.x = 20;
        _field.y = 60;
        _field.multiline = true;
        _field.wordWrap = true;
        
        var format:TextFormat = _field.defaultTextFormat;
        format.font = "_sans";
        _field.defaultTextFormat = format;
        
        addChild(_field);
        
        var button:Sprite = new Sprite();
        button.graphics.lineStyle(1, 0xBBBBBB);
        button.graphics.beginFill(0xEEEEEE);
        button.graphics.drawRoundRect(0, 0, 100, 20, 5, 5);
        button.graphics.endFill();
        
        addChild(button);
        
        button.x = 20;
        button.y = 20;
        button.mouseChildren = false;
        button.buttonMode = true;
        
        var field:TextField = new TextField();
        field.width = 100;
        field.height = 20;
        field.htmlText = "<p align='center'><font face='_sans'>再計算</span></p>";
        
        button.addChild(field);
        
        button.addEventListener(MouseEvent.CLICK, function ():void
        {
            _field.text = "";
            _init();
        });
    }
}
}