/// /** * Phaser - Physics - Projection */ module Phaser.Physics.Projection { export class Circle45Deg { public static Collide(x, y, oH, oV, obj: Phaser.Physics.Circle, t: Phaser.Physics.TileMapCell) { //if we're colliding diagonally: // -if obj is in the diagonal pointed to by the slope normal: we can't collide, do nothing // -else, collide vs. the appropriate vertex //if obj is in this tile: perform collision as for aabb-ve-45deg //if obj is horiz OR very neighb in direction of slope: collide only vs. slope //if obj is horiz or vert neigh against direction of slope: collide vs. face var signx = t.signx; var signy = t.signy; var lenP; if (oH == 0) { if (oV == 0) { //colliding with current tile var sx = t.sx; var sy = t.sy; var ox = (obj.pos.x - (sx * obj.radius)) - t.pos.x;//this gives is the coordinates of the innermost var oy = (obj.pos.y - (sy * obj.radius)) - t.pos.y;//point on the circle, relative to the tile center //if the dotprod of (ox,oy) and (sx,sy) is negative, the innermost point is in the slope //and we need toproject it out by the magnitude of the projection of (ox,oy) onto (sx,sy) var dp = (ox * sx) + (oy * sy); if (dp < 0) { //collision; project delta onto slope and use this as the slope penetration vector sx *= -dp;//(sx,sy) is now the penetration vector sy *= -dp; //find the smallest axial projection vector if (x < y) { //penetration in x is smaller lenP = x; y = 0; //get sign for projection along x-axis if ((obj.pos.x - t.pos.x) < 0) { x *= -1; } } else { //penetration in y is smaller lenP = y; x = 0; //get sign for projection along y-axis if ((obj.pos.y - t.pos.y) < 0) { y *= -1; } } var lenN = Math.sqrt(sx * sx + sy * sy); if (lenP < lenN) { obj.reportCollisionVsWorld(x, y, x / lenP, y / lenP, t); return Phaser.Physics.Circle.COL_AXIS; } else { obj.reportCollisionVsWorld(sx, sy, t.sx, t.sy, t); return Phaser.Physics.Circle.COL_OTHER; } } } else { //colliding vertically if ((signy * oV) < 0) { //colliding with face/edge obj.reportCollisionVsWorld(0, y * oV, 0, oV, t); return Phaser.Physics.Circle.COL_AXIS; } else { //we could only be colliding vs the slope OR a vertex //look at the vector form the closest vert to the circle to decide var sx = t.sx; var sy = t.sy; var ox = obj.pos.x - (t.pos.x - (signx * t.xw));//this gives is the coordinates of the innermost var oy = obj.pos.y - (t.pos.y + (oV * t.yw));//point on the circle, relative to the closest tile vert //if the component of (ox,oy) parallel to the normal's righthand normal //has the same sign as the slope of the slope (the sign of the slope's slope is signx*signy) //then we project by the vertex, otherwise by the normal. //note that this is simply a VERY tricky/weird method of determining //if the circle is in side the slope/face's voronoi region, or that of the vertex. var perp = (ox * -sy) + (oy * sx); if (0 < (perp * signx * signy)) { //collide vs. vertex var len = Math.sqrt(ox * ox + oy * oy); var pen = obj.radius - len; if (0 < pen) { //note: if len=0, then perp=0 and we'll never reach here, so don't worry about div-by-0 ox /= len; oy /= len; obj.reportCollisionVsWorld(ox * pen, oy * pen, ox, oy, t); return Phaser.Physics.Circle.COL_OTHER; } } else { //collide vs. slope //if the component of (ox,oy) parallel to the normal is less than the circle radius, we're //penetrating the slope. note that this method of penetration calculation doesn't hold //in general (i.e it won't work if the circle is in the slope), but works in this case //because we know the circle is in a neighboring cell var dp = (ox * sx) + (oy * sy); var pen = obj.radius - Math.abs(dp);//note: we don't need the abs because we know the dp will be positive, but just in case.. if (0 < pen) { //collision; circle out along normal by penetration amount obj.reportCollisionVsWorld(sx * pen, sy * pen, sx, sy, t); return Phaser.Physics.Circle.COL_OTHER; } } } } } else if (oV == 0) { //colliding horizontally if ((signx * oH) < 0) { //colliding with face/edge obj.reportCollisionVsWorld(x * oH, 0, oH, 0, t); return Phaser.Physics.Circle.COL_AXIS; } else { //we could only be colliding vs the slope OR a vertex //look at the vector form the closest vert to the circle to decide var sx = t.sx; var sy = t.sy; var ox = obj.pos.x - (t.pos.x + (oH * t.xw));//this gives is the coordinates of the innermost var oy = obj.pos.y - (t.pos.y - (signy * t.yw));//point on the circle, relative to the closest tile vert //if the component of (ox,oy) parallel to the normal's righthand normal //has the same sign as the slope of the slope (the sign of the slope's slope is signx*signy) //then we project by the normal, otherwise by the vertex. //(NOTE: this is the opposite logic of the vertical case; // for vertical, if the perp prod and the slope's slope agree, it's outside. // for horizontal, if the perp prod and the slope's slope agree, circle is inside. // ..but this is only a property of flahs' coord system (i.e the rules might swap // in righthanded systems)) //note that this is simply a VERY tricky/weird method of determining //if the circle is in side the slope/face's voronio region, or that of the vertex. var perp = (ox * -sy) + (oy * sx); if ((perp * signx * signy) < 0) { //collide vs. vertex var len = Math.sqrt(ox * ox + oy * oy); var pen = obj.radius - len; if (0 < pen) { //note: if len=0, then perp=0 and we'll never reach here, so don't worry about div-by-0 ox /= len; oy /= len; obj.reportCollisionVsWorld(ox * pen, oy * pen, ox, oy, t); return Phaser.Physics.Circle.COL_OTHER; } } else { //collide vs. slope //if the component of (ox,oy) parallel to the normal is less than the circle radius, we're //penetrating the slope. note that this method of penetration calculation doesn't hold //in general (i.e it won't work if the circle is in the slope), but works in this case //because we know the circle is in a neighboring cell var dp = (ox * sx) + (oy * sy); var pen = obj.radius - Math.abs(dp);//note: we don't need the abs because we know the dp will be positive, but just in case.. if (0 < pen) { //collision; circle out along normal by penetration amount obj.reportCollisionVsWorld(sx * pen, sy * pen, sx, sy, t); return Phaser.Physics.Circle.COL_OTHER; } } } } else { //colliding diagonally if (0 < ((signx * oH) + (signy * oV))) { //the dotprod of slope normal and cell offset is strictly positive, //therefore obj is in the diagonal neighb pointed at by the normal, and //it cannot possibly reach/touch/penetrate the slope return Phaser.Physics.Circle.COL_NONE; } else { //collide vs. vertex //get diag vertex position var vx = t.pos.x + (oH * t.xw); var vy = t.pos.y + (oV * t.yw); var dx = obj.pos.x - vx;//calc vert->circle vector var dy = obj.pos.y - vy; var len = Math.sqrt(dx * dx + dy * dy); var pen = obj.radius - len; if (0 < pen) { //vertex is in the circle; project outward if (len == 0) { //project out by 45deg dx = oH / Math.SQRT2; dy = oV / Math.SQRT2; } else { dx /= len; dy /= len; } obj.reportCollisionVsWorld(dx * pen, dy * pen, dx, dy, t); return Phaser.Physics.Circle.COL_OTHER; } } } return Phaser.Physics.Circle.COL_NONE; } } }