Life in Life

an implementation of Hashlife algorithm in AS3
 up key: speed up
 down key: slow down
 mouse wheel: zoom in/out

 see:
　http://en.wikipedia.org/wiki/Hashlife
　http://www.conwaylife.com/wiki/OTCA_metapixel
　http://www.conwaylife.com/wiki/124P37

Hashlifeで超高速にライフゲームを計算します。
OTCA metapixel を使ってライフゲーム上でライフゲームを動かしてみました。
・初期化にやや時間がかかります
・GCもどきが走ると一瞬止まります

by saharan 21 Jun 2015

Embed

/**
 * Copyright saharan ( http://wonderfl.net/user/saharan )
 * MIT License ( http://www.opensource.org/licenses/mit-license.php )
 * Downloaded from: http://wonderfl.net/c/sl12
 */

package{
    import com.bit101.components.HSlider;
    import com.bit101.components.Label;
    import com.bit101.components.Panel;
    import com.bit101.components.PushButton;
    import com.bit101.components.Style;
    import flash.display.Bitmap;
    import flash.display.BitmapData;
    import flash.display.Sprite;
    import flash.events.Event;
    import flash.events.KeyboardEvent;
    import flash.events.MouseEvent;
    import flash.geom.ColorTransform;
    import flash.geom.Point;
    import flash.geom.Rectangle;
    import flash.text.TextField;
    import flash.text.TextFormat;
    import flash.ui.Keyboard;
    import net.hires.debug.Stats;

    /**
     * an implementation of Hashlife algorithm in AS3
     * see: http://en.wikipedia.org/wiki/Hashlife
     *      http://www.conwaylife.com/wiki/OTCA_metapixel
     *      http://www.conwaylife.com/wiki/124P37
     * special thanks: phi16
     * @author saharan
     */
    [SWF(width = "465", height = "465", frameRate = "60")]
    public class Hashlife extends Sprite {
        private var field:Field;
        private var drawScale:int;
        private var levelShift:int;
        private var shiftX:Number;
        private var shiftY:Number;
        private var shiftX2:Number;
        private var shiftY2:Number;
        private var bmd:BitmapData;
        private var pixels:Vector.<uint>;
        private var gcCount:int;
        private var ct:ColorTransform;
        private var pmouseX:Number;
        private var pmouseY:Number;
        private var invPixelArea:Number;
        private var pressing:Boolean;
        private var calcStep:Boolean;
        private var pause:Boolean;

        public function Hashlife() {
            if (stage) init();
            else addEventListener(Event.ADDED_TO_STAGE, init);
        }

        private function init(e:Event = null):void {
            removeEventListener(Event.ADDED_TO_STAGE, init);

            ct = new ColorTransform(0.3, 0.325, 0.35);

            bmd = new BitmapData(465, 425, false, 0);
            var bm:Bitmap = new Bitmap(bmd);
            bm.y = 40;
            addChild(bm);

            var tf:TextField = new TextField();
            tf.y = 40;
            tf.width = 465;
            tf.height = 425;
            tf.alpha = 0;
            tf.selectable = false;
            tf.text = "\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r\r";
            tf.scrollV = 64;
            tf.addEventListener(MouseEvent.MOUSE_WHEEL, function(e:MouseEvent):void {
                tf.scrollV = 64;
            });
            addChild(tf);

            Style.embedFonts = false;
            Style.fontSize = 12;
            Style.fontName = "Courier New";
            var panel:Panel = new Panel(this, 0, 0);
            panel.width = 465;
            panel.height = 40;
            stage.addEventListener(MouseEvent.MOUSE_DOWN, function(e:MouseEvent):void {
                if (mouseY >= 40) pressing = true;
            });
            stage.addEventListener(MouseEvent.MOUSE_UP, function(e:MouseEvent):void {
                pressing = false;
            });
            var speedLabel:Label = new Label(panel, 8, 20, "Speed: x1");
            var speedSlider:HSlider = new HSlider(panel, 8, 8, function(e:Event):void {
                var speed:int = speedSlider.value;
                speedLabel.text = "Speed: x" + (1 << speed);
                if (field.speed != speed) field.setSpeed(speed);
            });
            speedSlider.width = 152;
            speedSlider.height = 12;
            speedSlider.minimum = 0;
            speedSlider.maximum = 16;
            speedSlider.tick = 1;
            var scaleLabel:Label = new Label(panel, 168, 20, "Scale: x1");
            var scaleSlider:HSlider = new HSlider(panel, 168, 8, function(e:Event):void {
                var scale:int = scaleSlider.value;
                if (scale < 0) {
                    levelShift = 0;
                    drawScale = -scale;
                    scaleLabel.text = "Scale: x" + (1 << drawScale) + ".0";
                } else if (scale > 0) {
                    drawScale = 0;
                    levelShift = scale;
                    scaleLabel.text = "Scale: x" + 1 / (1 << levelShift);
                } else {
                    drawScale = 0;
                    levelShift = 0;
                    scaleLabel.text = "Scale: x1.0";
                }
            });
            scaleSlider.width = 152;
            scaleSlider.height = 12;
            scaleSlider.minimum = 10;
            scaleSlider.maximum = -4;
            scaleSlider.tick = 1;
            scaleSlider.value = 0;

            var pauseButton:PushButton = new PushButton(panel, 328, 8, "Pause", function(e:Event):void {
                pause = pauseButton.selected;
            });
            pauseButton.width = 56;
            pauseButton.height = 24;
            pauseButton.toggle = true;

            var stepButton:PushButton = new PushButton(panel, 392, 8, "Step", function(e:Event):void {
                if (pause) calcStep = true;
            });
            stepButton.width = 65;
            stepButton.height = 24;

            stage.addEventListener(MouseEvent.MOUSE_WHEEL, function(e:MouseEvent):void {
                if (e.delta > 0) {
                    levelShift--;
                    if (levelShift < 0) {
                        levelShift = 0;
                        drawScale++;
                        if (drawScale > 4) drawScale = 4;
                    }
                } else if (e.delta < 0) {
                    drawScale--;
                    if (drawScale < 0) {
                        drawScale = 0;
                        levelShift++;
                        if (levelShift > 10) levelShift = 10;
                    }
                }
                if (drawScale > 0) {
                    scaleLabel.text = "Scale: x" + (1 << drawScale) + ".0";
                    scaleSlider.value = -drawScale;
                } else if (levelShift > 0) {
                    scaleLabel.text = "Scale: x" + 1 / (1 << levelShift);
                    scaleSlider.value = levelShift;
                } else {
                    scaleLabel.text = "Scale: x1.0";
                    scaleSlider.value = 0;
                }
            });
            stage.addEventListener(KeyboardEvent.KEY_DOWN, function(e:KeyboardEvent):void {
                switch(e.keyCode) {
                case Keyboard.UP:
                    if (field.nm.speed < 16) field.setSpeed(field.speed + 1);
                    break;
                case Keyboard.DOWN:
                    if (field.nm.speed > 0) field.setSpeed(field.speed - 1);
                    break;
                }
                speedLabel.text = "Speed: x" + (1 << field.speed);
                speedSlider.value = field.speed;
            });

            drawScale = 0;
            levelShift = 0;

            initField();

            addEventListener(Event.ENTER_FRAME, frame);
        }

        private function initField():void {
            field = new Field();

            var s:int = 2048;

            field.init(13);
            putOTCAMetaPixelOff3x3(1024, 1024);

            var u:Node = field.universe;
            var b00:Node = field.nm.getNode(u.e00.e00.e11, u.e00.e01.e10, u.e00.e10.e01, u.e00.e11.e00);
            var b01:Node = field.nm.getNode(u.e00.e01.e11, u.e01.e00.e10, u.e00.e11.e01, u.e01.e10.e00);
            var b02:Node = field.nm.getNode(u.e01.e00.e11, u.e01.e01.e10, u.e01.e10.e01, u.e01.e11.e00);
            var b10:Node = field.nm.getNode(u.e00.e10.e11, u.e00.e11.e10, u.e10.e00.e01, u.e10.e01.e00);
            var b11:Node = field.nm.getNode(u.e00.e11.e11, u.e01.e10.e10, u.e10.e01.e01, u.e11.e00.e00);
            var b12:Node = field.nm.getNode(u.e01.e10.e11, u.e01.e11.e10, u.e11.e00.e01, u.e11.e01.e00);
            var b20:Node = field.nm.getNode(u.e10.e00.e11, u.e10.e01.e10, u.e10.e10.e01, u.e10.e11.e00);
            var b21:Node = field.nm.getNode(u.e10.e01.e11, u.e11.e00.e10, u.e10.e11.e01, u.e11.e10.e00);
            var b22:Node = field.nm.getNode(u.e11.e00.e11, u.e11.e01.e10, u.e11.e10.e01, u.e11.e11.e00);

            field.init(13);
            putOTCAMetaPixelOn3x3(1024, 1024);

            u = field.universe;
            var o11:Node = field.nm.getNode(u.e00.e11.e11, u.e01.e10.e10, u.e10.e01.e01, u.e11.e00.e00);

            field.init(17);

            // init meta field
            for (var i:int = 0; i < 39; i++) {
                for (var j:int = 0; j < 39; j++) {
                    var cell:Node = null;
                    if (i == 0) {
                        if (j == 0) cell = b00;
                        else if (j == 38) cell = b20;
                        else cell = b10;
                    } else if (i == 38) {
                        if (j == 0) cell = b02;
                        else if (j == 38) cell = b22;
                        else cell = b12;
                    } else {
                        if (j == 0) cell = b01;
                        else if (j == 38) cell = b21;
                        else cell = b11;
                    }
                    field.setCellAtLevel(i + 13, j + 13, cell);
                }
            }
            // put meta pixel on meta field
            parseRLE(37, 37, 14, 14, "11b2o11b2o11b$11b2o11b2o11b3$6bo23bo6b$5bobo5bo9bo5bobo5b$4bo2bo5bob2o3b2obo5bo2bo4b$5b2o10bobo10b2o5b$15bobobobo15b$16bo3bo16b2$2o33b2o$2o33b2o$5b2o23b2o5b2$6bobo19bobo6b$6bo2bo17bo2bo6b$7b2o19b2o7b2$7b2o19b2o7b$6bo2bo17bo2bo6b$6bobo19bobo6b2$5b2o23b2o5b$2o33b2o$2o33b2o2$16bo3bo16b$15bobobobo15b$5b2o10bobo10b2o5b$4bo2bo5bob2o3b2obo5bo2bo4b$5bobo5bo9bo5bobo5b$6bo23bo6b3$11b2o11b2o11b$11b2o11b2o", o11);

            shiftX = shiftX2 = -(1 << 17);
            shiftY = shiftY2 = -(1 << 17);
        }

        private function putOTCAMetaPixelOn3x3(x:int, y:int):void {
            parseRLE(2058, 2058, -5 + x, -5 + y, 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null, 3, 3, 2048, 2048);
        }

        private function putOTCAMetaPixelOff3x3(x:int, y:int):void {
            parseRLE(2058, 2058, -5 + x, -5 + y, 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null, 3, 3, 2048, 2048);
        }

        private function parseRLE(w:int, h:int, offsetX:int, offsetY:int, data:String, cell:Node = null, repx:int = 1, repy:int = 1, repdx:int = 0, repdy:int = 0):void {
            //var bmd:BitmapData = new BitmapData(w, h, false);
            var y:int = 0;
            var pos:int = 0;
            var len:int = data.length;
            var x:int = 0;
            while (pos < len) {
                switch(data.charAt(pos)) {
                case "b":
                    x++;
                    break;
                case "o":
                    //bmd.setPixel(x, y, 0);
                    if (cell) {
                        for (var i:int = 0; i < repx; i++) {
                            for (var j:int = 0; j < repy; j++) {
                                field.setCellAtLevel(x + i * repdx + offsetX, y + j * repdy + offsetY, cell);
                            }
                        }
                    } else {
                        for (i = 0; i < repx; i++) {
                            for (j = 0; j < repy; j++) {
                                field.setCell(x + i * repdx + offsetX, y + j * repdy + offsetY);
                            }
                        }
                    }
                    x++;
                    break;
                case "1":
                case "2":
                case "3":
                case "4":
                case "5":
                case "6":
                case "7":
                case "8":
                case "9":
                    var num:String = data.charAt(pos);
                    while (data.charAt(++pos) != "b" && data.charAt(pos) != "o" && data.charAt(pos) != "$") num += data.charAt(pos);
                    var numPix:int = parseInt(num);
                    if (data.charAt(pos) == "b") x += numPix;
                    else if (data.charAt(pos) == "o") for (var k:int = 0; k < numPix; k++) {
                        // bmd.setPixel(x, y, 0);
                        if (cell) {
                            for (i = 0; i < repx; i++) {
                                for (j = 0; j < repy; j++) {
                                    field.setCellAtLevel(x + i * repdx + offsetX, y + j * repdy + offsetY, cell);
                                }
                            }
                        } else {
                            for (i = 0; i < repx; i++) {
                                for (j = 0; j < repy; j++) {
                                    field.setCell(x + i * repdx + offsetX, y + j * repdy + offsetY);
                                }
                            }
                        }
                        x++;
                    } else if (data.charAt(pos) == "$") {
                        x = 0;
                        y += numPix;
                    } else throw new Error(pos + " " + data.charAt(pos));
                    break;
                case "$":
                    x = 0;
                    y++;
                    break;
                default:
                    throw new Error(pos + " " + data.charAt(pos));
                }
                pos++;
            }
        }

        private function frame(e:Event):void {
            if (gcCount == 0 && field.nm.shouldRunGC()) gcCount = 120;
            if (gcCount > 0 &&--gcCount == 0) field.gc();
            update();
            draw();
        }

        private function update():void {
            if (pressing) {
                shiftX += (mouseX - pmouseX << levelShift) / (1 << drawScale);
                shiftY += (mouseY - pmouseY << levelShift) / (1 << drawScale);
                if (shiftX > -(1 << 16)) shiftX = -(1 << 16);
                if (shiftY > -(1 << 16)) shiftY = -(1 << 16);
                if (shiftX < -(1 << 18) + (1 << 16)) shiftX = -(1 << 18) + (1 << 16);
                if (shiftY < -(1 << 18) + (1 << 16)) shiftY = -(1 << 18) + (1 << 16);
            }
            shiftX2 += (shiftX - shiftX2) * 0.2;
            shiftY2 += (shiftY - shiftY2) * 0.2;
            if (pause) {
                if (calcStep) {
                    calcStep = false;
                    field.step();
                }
            } else field.step();
            pmouseX = mouseX;
            pmouseY = mouseY;
        }

        private function draw():void {
            bmd.colorTransform(bmd.rect, ct);
            pixels = bmd.getVector(bmd.rect);
            invPixelArea = 1 / (1.0 * (1 << levelShift) * (1 << levelShift));
            drawNode(field.universe, field.level - levelShift, (465 >> 1) + (shiftX2 * (1 << drawScale) >> levelShift), (425 >> 1) + (shiftY2 * (1 << drawScale) >> levelShift));
            bmd.setVector(bmd.rect, pixels);
        }

        private function drawNode(node:Node, level:int, left:Number, top:Number):void {
            if (level == 0) {
                if (node.population * invPixelArea > 0.008) {
                    var size:int = 1 << drawScale;
                    if (size > 2) size--;
                    var x:int = left;
                    for (var i:int = 0; i < size; i++) {
                        var y:int = top;
                        var offset:int = y * 465;
                        for (var j:int = 0; j < size; j++) {
                            if (x >= 0 && y >= 0 && x < 465 && y < 425) pixels[offset + x] = 0x30ffd0;
                            y++;
                            offset += 465;
                        }
                        x++;
                    }
                }
            } else {
                var nodeSize:int = 1 << drawScale << level;
                if (left + nodeSize < 0 || top + nodeSize < 0 || left > 465 || top > 425) return;
                level--;
                var subNodeSize:int = nodeSize >> 1;
                drawNode(node.e00, level, left, top);
                drawNode(node.e01, level, left + subNodeSize, top);
                drawNode(node.e10, level, left, top + subNodeSize);
                drawNode(node.e11, level, left + subNodeSize, top + subNodeSize);
            }
        }

    }

}

class Field {
    internal var universe:Node;
    internal var level:int;
    internal var nm:NodeManager;
    internal var speed:int;

    public function Field() {
        nm = new NodeManager();
    }

    internal function init(level:int):void {
        universe = createEmptyNode(level);
        this.level = level;
        speed = 0;
    }

    internal function setSpeed(speed:int):void {
        if (this.speed != speed) nm.clearSlowCache();
        this.speed = speed;
    }

    internal function setCell(x:int, y:int):void {
        if (x < 0 || y < 0 || x >= (1 << level) || y >= (1 << level)) return;
        universe = setAlive(universe, x, y, 0, 0);
    }

    internal function setCellAtLevel(x:int, y:int, nodeToSet:Node):void {
        if (x < 0 || y < 0 || x >= (1 << level - nodeToSet.level) || y >= (1 << level - nodeToSet.level)) return;
        universe = setNodeAtLevel(universe, x, y, 0, 0, nodeToSet);
    }

    private function setAlive(node:Node, x:int, y:int, left:int, top:int):Node {
        if (node.level == 0) return nm.leafNodes[1];
        var subNodeSize:int = 1 << node.level - 1;
        var inL:Boolean = x < left + subNodeSize;
        var inT:Boolean = y < top + subNodeSize;
        if (inT) if (inL) return nm.getNode(setAlive(node.e00, x, y, left, top), node.e01, node.e10, node.e11);
        else return nm.getNode(node.e00, setAlive(node.e01, x, y, left + subNodeSize, top), node.e10, node.e11);
        else if (inL) return nm.getNode(node.e00, node.e01, setAlive(node.e10, x, y, left, top + subNodeSize), node.e11);
        else return nm.getNode(node.e00, node.e01, node.e10, setAlive(node.e11, x, y, left + subNodeSize, top + subNodeSize));
    }

    private function setNodeAtLevel(node:Node, x:int, y:int, left:int, top:int, nodeToSet:Node):Node {
        if (node.level - nodeToSet.level == 0) return nodeToSet;
        var subNodeSize:int = 1 << node.level - nodeToSet.level - 1;
        var inL:Boolean = x < left + subNodeSize;
        var inT:Boolean = y < top + subNodeSize;
        if (inT) if (inL) return nm.getNode(setNodeAtLevel(node.e00, x, y, left, top, nodeToSet), node.e01, node.e10, node.e11);
        else return nm.getNode(node.e00, setNodeAtLevel(node.e01, x, y, left + subNodeSize, top, nodeToSet), node.e10, node.e11);
        else if (inL) return nm.getNode(node.e00, node.e01, setNodeAtLevel(node.e10, x, y, left, top + subNodeSize, nodeToSet), node.e11);
        else return nm.getNode(node.e00, node.e01, node.e10, setNodeAtLevel(node.e11, x, y, left + subNodeSize, top + subNodeSize, nodeToSet));
    }

    internal function gc():void {
        nm.gc(universe);
    }

    internal function step():void {
        var d:int = universe.level - 1;
        while (
            universe.level < 3 + speed ||
            universe.e00.population != universe.e00.e11.e11.population ||
            universe.e01.population != universe.e01.e10.e10.population ||
            universe.e10.population != universe.e10.e01.e01.population ||
            universe.e11.population != universe.e11.e00.e00.population
        ) {
            var emptyNode:Node = createEmptyNode(d);
            universe = nm.getNode(
                nm.getNode(emptyNode, emptyNode, emptyNode, universe.e00),
                nm.getNode(emptyNode, emptyNode, universe.e01, emptyNode),
                nm.getNode(emptyNode, universe.e10, emptyNode, emptyNode),
                nm.getNode(universe.e11, emptyNode, emptyNode, emptyNode)
            );
            d++;
        }
        universe = universe.step(nm, speed);
        level = universe.level;
    }

    private function createEmptyNode(level:int):Node {
        if (level == 0) return nm.leafNodes[0];
        var node:Node = createEmptyNode(level - 1);
        return nm.getNode(node, node, node, node);
    }
}

class NodeManager {
    private var map:Vector.<Node>;
    private var stack:Vector.<Node>;
    private var nodePool:Node;
    private var alive:Node;
    private var dead:Node;
    internal var speed:int;
    internal var leafNodes:Vector.<Node>;

    public function NodeManager() {
        map = new Vector.<Node>(0x800000, true);
        stack = new Vector.<Node>(0x10000, true);
        leafNodes = new Vector.<Node>(2, true);
        leafNodes[0] = new Node(0, false);
        leafNodes[1] = new Node(0, true);
    }

    internal function shouldRunGC():Boolean {
        return !nodePool;
    }

    internal function clearSlowCache():void {
        for (var i:int = 0; i < 0x800000; i++) {
            var node:Node = map[i];
            while (node) {
                node.cachedNextGen = null;
                node = node.nextLinkList;
            }
        }
    }

    internal function gc(universe:Node):void {
        var stackCount:int = 1;
        const stack:Vector.<Node> = this.stack;
        stack[0] = universe;
        while (stackCount > 0) { // depth-first search
            var node:Node = stack[--stackCount];
            if (!node.gcCheck) {
                node.gcCheck = true;
                if (node.level > 1) {
                    stack[stackCount++] = node.e00;
                    stack[stackCount++] = node.e01;
                    stack[stackCount++] = node.e10;
                    stack[stackCount++] = node.e11;
                    if (node.cachedNextPow2Gen) stack[stackCount++] = node.cachedNextPow2Gen;
                    if (node.cachedNextGen) stack[stackCount++] = node.cachedNextGen;
                }
            }
        }
        const map:Vector.<Node> = this.map;
        for (var i:int = 0; i < 0x800000; i++) {
            node = map[i];
            var prev:Node = null;
            while (node) {
                var next:Node = node.nextLinkList;
                if (node.gcCheck) { // release caches collected
                    if (node.cachedNextPow2Gen && !node.cachedNextPow2Gen.gcCheck) node.cachedNextPow2Gen = null;
                    if (node.cachedNextGen && !node.cachedNextGen.gcCheck) node.cachedNextGen = null;
                    prev = node;
                } else { // delete and pool the node
                    node.nextLinkList = nodePool;
                    nodePool = node;
                    if (prev) prev.nextLinkList = next;
                    else map[i] = next;
                }
                node = next;
            }
        }
        for (i = 0; i < 0x800000; i++) {
            node = map[i];
            while (node) {
                node.gcCheck = false; // reset flag for next gc
                node = node.nextLinkList;
            }
        }
    }

    private function putNode(node:Node, index:int):Node {
        node.nextLinkList = map[index];
        map[index] = node;
        return node;
    }

    internal function getNode(e00:Node, e01:Node, e10:Node, e11:Node):Node {
        var hash:int = Node.calcHash(e00, e01, e10, e11);
        var index:int = hash & 0x7fffff;
        var list:Node = map[index];
        while (list) {
            if (e00 == list.e00 && e01 == list.e01 && e10 == list.e10 && e11 == list.e11) return list;
            list = list.nextLinkList;
        }
        if (!nodePool) return putNode(new Node(e00.level + 1, false, e00, e01, e10, e11), index);
        var node:Node = nodePool;
        nodePool = nodePool.nextLinkList;
        node.init(e00.level + 1, false, e00, e01, e10, e11);
        return putNode(node, index);
    }
}

class Node {
    private static var ID_COUNT:int = 0;
    internal var level:int;
    internal var e00:Node;
    internal var e01:Node;
    internal var e10:Node;
    internal var e11:Node;
    internal var cachedNextPow2Gen:Node;
    internal var cachedNextGen:Node;
    internal var nextLinkList:Node;
    internal var id:int;
    internal var population:int;
    internal var gcCheck:Boolean;

    public function Node(level:int, alive:Boolean, e00:Node = null, e01:Node = null, e10:Node = null, e11:Node = null) {
        init(level, alive, e00, e01, e10, e11);
    }

    internal function init(level:int, alive:Boolean, e00:Node = null, e01:Node = null, e10:Node = null, e11:Node = null):void {
        this.e00 = e00;
        this.e01 = e01;
        this.e10 = e10;
        this.e11 = e11;
        this.level = level;
        population = level == 0 ? alive ? 1 : 0 : e00.population + e01.population + e10.population + e11.population;
        id = ++ID_COUNT;
        cachedNextPow2Gen = null;
        cachedNextGen = null;
        nextLinkList = null;
        gcCheck = false;
    }

    internal function hashCode():int {
        if (level == 0) return population;
        var t:int = 527 + e00.id;
        t = (t << 5) - t + e01.id;
        t = (t << 5) - t + e10.id;
        return (t << 5) - t + e11.id;
    }

    internal static function calcHash(e00:Node, e01:Node, e10:Node, e11:Node):int {
        var t:int = 527 + e00.id;
        t = (t << 5) - t + e01.id;
        t = (t << 5) - t + e10.id;
        return (t << 5) - t + e11.id;
    }

    internal function step(nm:NodeManager, speed:int):Node {
        if (level == 2) { // based on bitboard
            if (cachedNextPow2Gen) return cachedNextPow2Gen;
            if (population == 0) return cachedNextPow2Gen = e00;
            var p00:int = e00.e00.population;
            var p01:int = e00.e01.population;
            var p02:int = e01.e00.population;
            var p03:int = e01.e01.population;
            var p10:int = e00.e10.population;
            var p11:int = e00.e11.population;
            var p12:int = e01.e10.population;
            var p13:int = e01.e11.population;
            var p20:int = e10.e00.population;
            var p21:int = e10.e01.population;
            var p22:int = e11.e00.population;
            var p23:int = e11.e01.population;
            var p30:int = e10.e10.population;
            var p31:int = e10.e11.population;
            var p32:int = e11.e10.population;
            var p33:int = e11.e11.population;
            var n00:int = p00 << 3 | p01 << 2 | p10 << 1 | p11;
            var n01:int = p01 << 3 | p02 << 2 | p11 << 1 | p12;
            var n02:int = p02 << 3 | p03 << 2 | p12 << 1 | p13;
            var n10:int = p10 << 3 | p11 << 2 | p20 << 1 | p21;
            var n11:int = p11 << 3 | p12 << 2 | p21 << 1 | p22;
            var n12:int = p12 << 3 | p13 << 2 | p22 << 1 | p23;
            var n20:int = p20 << 3 | p21 << 2 | p30 << 1 | p31;
            var n21:int = p21 << 3 | p22 << 2 | p31 << 1 | p32;
            var n22:int = p22 << 3 | p23 << 2 | p32 << 1 | p33;
            var s0:int = ~(n00 | n01);
            var s1:int = n00 ^ n01;
            var s2:int = n00 & n01;
            var s3:int = n02 & s2;
            s2 = s2 & ~n02 | s1 & n02;
            s1 = s1 & ~n02 | s0 & n02;
            s0 &= ~n02;
            s3 = s3 & ~n10 | s2 & n10;
            s2 = s2 & ~n10 | s1 & n10;
            s1 = s1 & ~n10 | s0 & n10;
            s0 &= ~n10;
            s3 = s3 & ~n12 | s2 & n12;
            s2 = s2 & ~n12 | s1 & n12;
            s1 = s1 & ~n12 | s0 & n12;
            s0 &= ~n12;
            s3 = s3 & ~n20 | s2 & n20;
            s2 = s2 & ~n20 | s1 & n20;
            s1 = s1 & ~n20 | s0 & n20;
            s0 &= ~n20;
            s3 = s3 & ~n21 | s2 & n21;
            s2 = s2 & ~n21 | s1 & n21;
            s1 = s1 & ~n21 | s0 & n21;
            s3 = s3 & ~n22 | s2 & n22;
            s2 = s2 & ~n22 | s1 & n22;
            n11 = s3 | (s2 & n11);
            return cachedNextPow2Gen = nm.getNode(nm.leafNodes[n11 >> 3 & 1], nm.leafNodes[n11 >> 2 & 1], nm.leafNodes[n11 >> 1 & 1], nm.leafNodes[n11 & 1]);
        } else {
            if (population == 0) return cachedNextPow2Gen = cachedNextGen = e00;
            var t00:Node;
            var t01:Node;
            var t02:Node;
            var t10:Node;
            var t11:Node;
            var t12:Node;
            var t20:Node;
            var t21:Node;
            var t22:Node;
            if (level > speed + 2) { // calc slowly
                if (cachedNextGen) return cachedNextGen;
                t00 = nm.getNode(e00.e00.e11, e00.e01.e10, e00.e10.e01, e00.e11.e00);
                t01 = nm.getNode(e00.e01.e11, e01.e00.e10, e00.e11.e01, e01.e10.e00);
                t02 = nm.getNode(e01.e00.e11, e01.e01.e10, e01.e10.e01, e01.e11.e00);
                t10 = nm.getNode(e00.e10.e11, e00.e11.e10, e10.e00.e01, e10.e01.e00);
                t11 = nm.getNode(e00.e11.e11, e01.e10.e10, e10.e01.e01, e11.e00.e00);
                t12 = nm.getNode(e01.e10.e11, e01.e11.e10, e11.e00.e01, e11.e01.e00);
                t20 = nm.getNode(e10.e00.e11, e10.e01.e10, e10.e10.e01, e10.e11.e00);
                t21 = nm.getNode(e10.e01.e11, e11.e00.e10, e10.e11.e01, e11.e10.e00);
                t22 = nm.getNode(e11.e00.e11, e11.e01.e10, e11.e10.e01, e11.e11.e00);
                return cachedNextGen = nm.getNode(
                    nm.getNode(t00, t01, t10, t11).step(nm, speed),
                    nm.getNode(t01, t02, t11, t12).step(nm, speed),
                    nm.getNode(t10, t11, t20, t21).step(nm, speed),
                    nm.getNode(t11, t12, t21, t22).step(nm, speed)
                );
            } else { // calc quickly
                if (cachedNextPow2Gen) return cachedNextPow2Gen;
                t00 = e00.step(nm, speed);
                t01 = nm.getNode(e00.e01, e01.e00, e00.e11, e01.e10).step(nm, speed);
                t02 = e01.step(nm, speed);
                t10 = nm.getNode(e00.e10, e00.e11, e10.e00, e10.e01).step(nm, speed);
                t11 = nm.getNode(e00.e11, e01.e10, e10.e01, e11.e00).step(nm, speed);
                t12 = nm.getNode(e01.e10, e01.e11, e11.e00, e11.e01).step(nm, speed);
                t20 = e10.step(nm, speed);
                t21 = nm.getNode(e10.e01, e11.e00, e10.e11, e11.e10).step(nm, speed);
                t22 = e11.step(nm, speed);
                return cachedNextPow2Gen = nm.getNode(
                    nm.getNode(t00, t01, t10, t11).step(nm, speed),
                    nm.getNode(t01, t02, t11, t12).step(nm, speed),
                    nm.getNode(t10, t11, t20, t21).step(nm, speed),
                    nm.getNode(t11, t12, t21, t22).step(nm, speed)
                );
            }
        }
    }
}