与SAT的碰撞实现（画布，javascript）

Question

所以，我有这个simple 2d train sim，我已经做了一个非常好的SAT实现，它没有错误（至少我没有偶然发现）：

function calcCollision(self){
    var dist = self.distanceCheck();
    var possible = [], collision = [];
    var myBox, otherBox, myMin, myMax, otherMin, otherMax, myBoxRecalc = [], otherBoxRecalc = [];

    for (var i=0;i<trainCount;i++){
        if (dist[i]!="SELF"&&dist[i]<=(dTrain+10)){
            possible.push(i);
        }
    }

    if (possible.length!==0){

        myBox = self.box();

        self.hit = false;

        for (i=0;i<possible.length;i++){
            otherBox = window["train_"+possible[i]].box();

            //для self координат

            for (var j=0;j<4;j++){
                myBoxRecalc[j] = XYtoBoxCoordinates(self,myBox[j][0],myBox[j][1]);
                otherBoxRecalc[j] = XYtoBoxCoordinates(self,otherBox[j][0],otherBox[j][1]);
            }

            //для self координат, проекция на X

            myMin = myBoxRecalc[0][0];
            myMax = myBoxRecalc[0][0];

            otherMin = otherBoxRecalc[0][0];
            otherMax = otherBoxRecalc[0][0];

            for (j=0;j<4;j++){
                if (myBoxRecalc[j][0]<myMin) myMin=myBoxRecalc[j][0];
                if (myBoxRecalc[j][0]>myMax) myMax=myBoxRecalc[j][0];

                if (otherBoxRecalc[j][0]<otherMin) otherMin=otherBoxRecalc[j][0];
                if (otherBoxRecalc[j][0]>otherMax) otherMax=otherBoxRecalc[j][0];
            }

            //console.log(myMin + " " + myMax + " " + otherMin + " " + otherMax);

            if (otherMax<myMin||otherMin>myMax) break;

            //для self координат, проекция на Y

            myMin = myBoxRecalc[0][1];
            myMax = myBoxRecalc[0][1];

            otherMin = otherBoxRecalc[0][1];
            otherMax = otherBoxRecalc[0][1];

            for (j=0;j<4;j++){
                if (myBoxRecalc[j][1]<myMin) myMin=myBoxRecalc[j][1];
                if (myBoxRecalc[j][1]>myMax) myMax=myBoxRecalc[j][1];

                if (otherBoxRecalc[j][1]<otherMin) otherMin=otherBoxRecalc[j][1];
                if (otherBoxRecalc[j][1]>otherMax) otherMax=otherBoxRecalc[j][1];
            }

            //console.log(myMin + " " + myMax + " " + otherMin + " " + otherMax);

            if (otherMax<myMin||otherMin>myMax) break;

            //для other координат

            for (j=0;j<4;j++){
                myBoxRecalc[j] = XYtoBoxCoordinates(window["train_"+possible[i]],myBox[j][0],myBox[j][1]);
                otherBoxRecalc[j] = XYtoBoxCoordinates(window["train_"+possible[i]],otherBox[j][0],otherBox[j][1]);
            }

            //для other координат, проекция на X

            myMin = myBoxRecalc[0][0];
            myMax = myBoxRecalc[0][0];

            otherMin = otherBoxRecalc[0][0];
            otherMax = otherBoxRecalc[0][0];

            for (j=0;j<4;j++){
                if (myBoxRecalc[j][0]<myMin) myMin=myBoxRecalc[j][0];
                if (myBoxRecalc[j][0]>myMax) myMax=myBoxRecalc[j][0];

                if (otherBoxRecalc[j][0]<otherMin) otherMin=otherBoxRecalc[j][0];
                if (otherBoxRecalc[j][0]>otherMax) otherMax=otherBoxRecalc[j][0];
            }

            //console.log(myMin + " " + myMax + " " + otherMin + " " + otherMax);

            if (otherMax<myMin||otherMin>myMax) break;

            //для other координат, проекция на Y

            myMin = myBoxRecalc[0][1];
            myMax = myBoxRecalc[0][1];

            otherMin = otherBoxRecalc[0][1];
            otherMax = otherBoxRecalc[0][1];

            for (j=0;j<4;j++){
                if (myBoxRecalc[j][1]<myMin) myMin=myBoxRecalc[j][1];
                if (myBoxRecalc[j][1]>myMax) myMax=myBoxRecalc[j][1];

                if (otherBoxRecalc[j][1]<otherMin) otherMin=otherBoxRecalc[j][1];
                if (otherBoxRecalc[j][1]>otherMax) otherMax=otherBoxRecalc[j][1];
            }

            //console.log(myMin + " " + myMax + " " + otherMin + " " + otherMax);

            if (otherMax<myMin||otherMin>myMax) break;

            collision.push(possible[i]);

        }
    } else return false;

    if (collision.length!==0){
        self.hit = true;
        return collision;
    } else return false;
}

它会检测self的可能碰撞对象，并在发生碰撞时返回其ID。正如我已经说过的，它运作得很好。之后出现问题，当我试图在碰撞上产生反应时。我已经在算法上苦苦挣扎了近一个星期，这是我提出的最佳解决方案：

function moveCollided(){

    for (var i = 0; i < trainCount; i++) {
        var banged = calcCollision(window["train_"+i]);
        //console.log(banged);
        if (window["train_"+i].hit){
            window["train_"+i].speed -= (window["train_"+i].speed/3);
            for (var j = 0; j < banged.length; j++) {
                window["train_"+banged[j]].speed += calcSpeedIncrement(window["train_"+i],window["train_"+banged[j]]);
            }
        }
    }

    setTimeout(moveCollided, 15);
}

此功能可降低列车的速度，并为坠毁的列车增加一些速度（calcSpeedIncrement(self,other)）。我在直线轨道上获得了很好的碰撞效果，但是如果你继续前进，一列火车会滑过另一列火车。另一个同样“滑过”的问题是当其中一列火车站在转弯处时碰撞。

有没有人对如何解决这些问题有任何想法？

Answer 1

我很简单，不要试图重新发明轮子并寻求现有的解决方案。您是否看过非常流行的2D物理引擎Box2D？ JavaScript中的Here is a nice implementation of it。