text: /*
  Repo: https://github.com/bmoren/p5.collide2D/
  Created by http://benmoren.com
  Some functions and code modified version from http://www.jeffreythompson.org/collision-detection
  Version v0.7.3 | June 22, 2020
  CC BY-NC-SA 4.0
  */
  
  
  console.log("### p5.collide v0.7.3 ###")
  
  p5.prototype._collideDebug = false;
  
  p5.prototype.collideDebug = function(debugMode){
      _collideDebug = debugMode;
  }
  
  /*~++~+~+~++~+~++~++~+~+~ 2D ~+~+~++~+~++~+~+~+~+~+~+~+~+~+~+*/
  
  p5.prototype.collideRectRect = function (x, y, w, h, x2, y2, w2, h2) {
    //2d
    //add in a thing to detect rectMode CENTER
    if (x + w >= x2 &&    // r1 right edge past r2 left
        x <= x2 + w2 &&    // r1 left edge past r2 right
        y + h >= y2 &&    // r1 top edge past r2 bottom
        y <= y2 + h2) {    // r1 bottom edge past r2 top
          return true;
    }
    return false;
  };
  
  // p5.vector version of collideRectRect
  p5.prototype.collideRectRectVector = function(p1, sz, p2, sz2){
    return p5.prototype.collideRectRect(p1.x, p1.y, sz.x, sz.y, p2.x, p2.y, sz2.x,sz2.y)
  }
  
  
  p5.prototype.collideRectCircle = function (rx, ry, rw, rh, cx, cy, diameter) {
    //2d
    // temporary variables to set edges for testing
    var testX = cx;
    var testY = cy;
  
    // which edge is closest?
    if (cx < rx){         testX = rx       // left edge
    }else if (cx > rx+rw){ testX = rx+rw  }   // right edge
  
    if (cy < ry){         testY = ry       // top edge
    }else if (cy > ry+rh){ testY = ry+rh }   // bottom edge
  
    // // get distance from closest edges
    var distance = this.dist(cx,cy,testX,testY)
  
    // if the distance is less than the radius, collision!
    if (distance <= diameter/2) {
      return true;
    }
    return false;
  };
  
  // p5.vector version of collideRectCircle
  p5.prototype.collideRectCircleVector = function(r, sz, c, diameter){
    return p5.prototype.collideRectCircle(r.x,r.y, sz.x,sz.y, c.x,c.y, diameter)
  }
  
  p5.prototype.collideCircleCircle = function (x, y,d, x2, y2, d2) {
  //2d
    if( this.dist(x,y,x2,y2) <= (d/2)+(d2/2) ){
      return true;
    }
    return false;
  };
  
  
  // p5.vector version of collideCircleCircle
  p5.prototype.collideCircleCircleVector = function(p1,d, p2, d2){
    return p5.prototype.collideCircleCircle(p1.x,p1.y,  d, p2.x,p2.y, d2)
  }
  
  
  p5.prototype.collidePointCircle = function (x, y, cx, cy, d) {
  //2d
  if( this.dist(x,y,cx,cy) <= d/2 ){
    return true;
  }
  return false;
  };
  
  // p5.vector version of collidePointCircle
  p5.prototype.collidePointCircleVector = function(p, c, d){
    return p5.prototype.collidePointCircle(p.x,p.y,c.x,c.y,  d)
  }
  
  p5.prototype.collidePointEllipse = function (x, y, cx, cy, dx, dy) {
    //2d
    var rx = dx/2, ry = dy/2;
    // Discarding the points outside the bounding box
    if (x > cx + rx || x < cx - rx ||y > cy + ry || y < cy - ry) {
  		return false;
    }
    // Compare the point to its equivalent on the ellipse
    var xx = x - cx, yy = y - cy;
    var eyy = ry * this.sqrt(this.abs(rx * rx - xx * xx)) / rx;
    return yy <= eyy && yy >= -eyy;
  };
  
  // p5.vector version of collidePointEllipse
  p5.prototype.collidePointEllipseVector = function(p, c, d){
    return p5.prototype.collidePointEllipse(p.x,p.y,c.x,c.y,d.x,d.y);
  }
  
  p5.prototype.collidePointRect = function (pointX, pointY, x, y, xW, yW) {
  //2d
  if (pointX >= x &&         // right of the left edge AND
      pointX <= x + xW &&    // left of the right edge AND
      pointY >= y &&         // below the top AND
      pointY <= y + yW) {    // above the bottom
          return true;
  }
  return false;
  };
  
  // p5.vector version of collidePointRect
  p5.prototype.collidePointRectVector = function(point, p1, sz){
    return p5.prototype.collidePointRect(point.x, point.y, p1.x, p1.y, sz.x, sz.y);
  }
  
  p5.prototype.collidePointLine = function(px,py,x1,y1,x2,y2, buffer){
    // get distance from the point to the two ends of the line
  var d1 = this.dist(px,py, x1,y1);
  var d2 = this.dist(px,py, x2,y2);
  
  // get the length of the line
  var lineLen = this.dist(x1,y1, x2,y2);
  
  // since floats are so minutely accurate, add a little buffer zone that will give collision
  if (buffer === undefined){ buffer = 0.1; }   // higher # = less accurate
  
  // if the two distances are equal to the line's length, the point is on the line!
  // note we use the buffer here to give a range, rather than one #
  if (d1+d2 >= lineLen-buffer && d1+d2 <= lineLen+buffer) {
    return true;
  }
  return false;
  }
  
  // p5.vector version of collidePointLine
  p5.prototype.collidePointLineVector = function(point,p1,p2, buffer){
    return p5.prototype.collidePointLine(point.x,point.y, p1.x,p1.y, p2.x,p2.y, buffer);
  }
  
  p5.prototype.collideLineCircle = function( x1,  y1,  x2,  y2,  cx,  cy,  diameter) {
    // is either end INSIDE the circle?
    // if so, return true immediately
    var inside1 = this.collidePointCircle(x1,y1, cx,cy,diameter);
    var inside2 = this.collidePointCircle(x2,y2, cx,cy,diameter);
    if (inside1 || inside2) return true;
  
    // get length of the line
    var distX = x1 - x2;
    var distY = y1 - y2;
    var len = this.sqrt( (distX*distX) + (distY*distY) );
  
    // get dot product of the line and circle
    var dot = ( ((cx-x1)*(x2-x1)) + ((cy-y1)*(y2-y1)) ) / this.pow(len,2);
  
    // find the closest point on the line
    var closestX = x1 + (dot * (x2-x1));
    var closestY = y1 + (dot * (y2-y1));
  
    // is this point actually on the line segment?
    // if so keep going, but if not, return false
    var onSegment = this.collidePointLine(closestX,closestY,x1,y1,x2,y2);
    if (!onSegment) return false;
  
    // draw a debug circle at the closest point on the line
    if(this._collideDebug){
      this.ellipse(closestX, closestY,10,10);
    }
  
    // get distance to closest point
    distX = closestX - cx;
    distY = closestY - cy;
    var distance = this.sqrt( (distX*distX) + (distY*distY) );
  
    if (distance <= diameter/2) {
      return true;
    }
    return false;
  }
  
  // p5.vector version of collideLineCircle
  p5.prototype.collideLineCircleVector = function( p1,  p2,  c,  diameter){
    return p5.prototype.collideLineCircle( p1.x,  p1.y,  p2.x,  p2.y,  c.x,  c.y,  diameter);
  }
  p5.prototype.collideLineLine = function(x1, y1, x2, y2, x3, y3, x4, y4,calcIntersection) {
  
    var intersection;
  
    // calculate the distance to intersection point
    var uA = ((x4-x3)*(y1-y3) - (y4-y3)*(x1-x3)) / ((y4-y3)*(x2-x1) - (x4-x3)*(y2-y1));
    var uB = ((x2-x1)*(y1-y3) - (y2-y1)*(x1-x3)) / ((y4-y3)*(x2-x1) - (x4-x3)*(y2-y1));
  
    // if uA and uB are between 0-1, lines are colliding
    if (uA >= 0 && uA <= 1 && uB >= 0 && uB <= 1) {
  
      if(this._collideDebug || calcIntersection){
        // calc the point where the lines meet
        var intersectionX = x1 + (uA * (x2-x1));
        var intersectionY = y1 + (uA * (y2-y1));
      }
  
      if(this._collideDebug){
        this.ellipse(intersectionX,intersectionY,10,10);
      }
  
      if(calcIntersection){
        intersection = {
          "x":intersectionX,
          "y":intersectionY
        }
        return intersection;
      }else{
        return true;
      }
    }
    if(calcIntersection){
      intersection = {
        "x":false,
        "y":false
      }
      return intersection;
    }
    return false;
  }
  
  
  // p5.vector version of collideLineLine
  p5.prototype.collideLineLineVector = function(p1, p2, p3, p4, calcIntersection){
    return p5.prototype.collideLineLine(p1.x, p1.y, p2.x, p2.y, p3.x, p3.y, p4.x, p4.y, calcIntersection);
  }
  
  p5.prototype.collideLineRect = function(x1, y1, x2, y2, rx, ry, rw, rh, calcIntersection) {
  
    // check if the line has hit any of the rectangle's sides. uses the collideLineLine function above
    var left, right, top, bottom, intersection;
  
    if(calcIntersection){
       left =   this.collideLineLine(x1,y1,x2,y2, rx,ry,rx, ry+rh,true);
       right =  this.collideLineLine(x1,y1,x2,y2, rx+rw,ry, rx+rw,ry+rh,true);
       top =    this.collideLineLine(x1,y1,x2,y2, rx,ry, rx+rw,ry,true);
       bottom = this.collideLineLine(x1,y1,x2,y2, rx,ry+rh, rx+rw,ry+rh,true);
       intersection = {
          "left" : left,
          "right" : right,
          "top" : top,
          "bottom" : bottom
      }
    }else{
      //return booleans
       left =   this.collideLineLine(x1,y1,x2,y2, rx,ry,rx, ry+rh);
       right =  this.collideLineLine(x1,y1,x2,y2, rx+rw,ry, rx+rw,ry+rh);
       top =    this.collideLineLine(x1,y1,x2,y2, rx,ry, rx+rw,ry);
       bottom = this.collideLineLine(x1,y1,x2,y2, rx,ry+rh, rx+rw,ry+rh);
    }
  
    // if ANY of the above are true, the line has hit the rectangle
    if (left || right || top || bottom) {
      if(calcIntersection){
        return intersection;
      }
      return true;
    }
    return false;
  }
  
  // p5.vector version of collideLineRect
  p5.prototype.collideLineRectVector = function(p1, p2, r, rsz, calcIntersection){
    return p5.prototype.collideLineRect(p1.x, p1.y, p2.x, p2.y, r.x, r.y, rsz.x, rsz.y, calcIntersection);
  }
  
  p5.prototype.collidePointPoly = function(px, py, vertices) {
    var collision = false;
  
    // go through each of the vertices, plus the next vertex in the list
    var next = 0;
    for (var current=0; current<vertices.length; current++) {
  
      // get next vertex in list if we've hit the end, wrap around to 0
      next = current+1;
      if (next === vertices.length) next = 0;
  
      // get the PVectors at our current position this makes our if statement a little cleaner
      var vc = vertices[current];    // c for "current"
      var vn = vertices[next];       // n for "next"
  
      // compare position, flip 'collision' variable back and forth
      if (((vc.y >= py && vn.y < py) || (vc.y < py && vn.y >= py)) &&
           (px < (vn.x-vc.x)*(py-vc.y) / (vn.y-vc.y)+vc.x)) {
              collision = !collision;
      }
    }
    return collision;
  }
  
  // p5.vector version of collidePointPoly
  p5.prototype.collidePointPolyVector = function(p1, vertices){
    return p5.prototype.collidePointPoly(p1.x, p1.y, vertices);
  }
  
  // POLYGON/CIRCLE
  p5.prototype.collideCirclePoly = function(cx, cy, diameter, vertices, interior) {
  
    if (interior === undefined){
      interior = false;
    }
  
    // go through each of the vertices, plus the next vertex in the list
    var next = 0;
    for (var current=0; current<vertices.length; current++) {
  
      // get next vertex in list if we've hit the end, wrap around to 0
      next = current+1;
      if (next === vertices.length) next = 0;
  
      // get the PVectors at our current position this makes our if statement a little cleaner
      var vc = vertices[current];    // c for "current"
      var vn = vertices[next];       // n for "next"
  
      // check for collision between the circle and a line formed between the two vertices
      var collision = this.collideLineCircle(vc.x,vc.y, vn.x,vn.y, cx,cy,diameter);
      if (collision) return true;
    }
  
    // test if the center of the circle is inside the polygon
    if(interior === true){
      var centerInside = this.collidePointPoly(cx,cy, vertices);
      if (centerInside) return true;
    }
  
    // otherwise, after all that, return false
    return false;
  }
  
  // p5.vector version of collideCirclePoly
  p5.prototype.collideCirclePolyVector = function(c, diameter, vertices, interior){
    return p5.prototype.collideCirclePoly(c.x, c.y, diameter, vertices, interior);
  }
  
  p5.prototype.collideRectPoly = function( rx, ry, rw, rh, vertices, interior) {
    if (interior == undefined){
      interior = false;
    }
  
    // go through each of the vertices, plus the next vertex in the list
    var next = 0;
    for (var current=0; current<vertices.length; current++) {
  
      // get next vertex in list if we've hit the end, wrap around to 0
      next = current+1;
      if (next === vertices.length) next = 0;
  
      // get the PVectors at our current position this makes our if statement a little cleaner
      var vc = vertices[current];    // c for "current"
      var vn = vertices[next];       // n for "next"
  
      // check against all four sides of the rectangle
      var collision = this.collideLineRect(vc.x,vc.y,vn.x,vn.y, rx,ry,rw,rh);
      if (collision) return true;
  
      // optional: test if the rectangle is INSIDE the polygon note that this iterates all sides of the polygon again, so only use this if you need to
      if(interior === true){
        var inside = this.collidePointPoly(rx,ry, vertices);
        if (inside) return true;
      }
    }
  
    return false;
  }
  
  // p5.vector version of collideRectPoly
  p5.prototype.collideRectPolyVector = function(r, rsz, vertices, interior){
    return p5.prototype.collideRectPoly(r.x, r.y, rsz.x, rsz.y, vertices, interior);
  }
  
  p5.prototype.collideLinePoly = function(x1, y1, x2, y2, vertices) {
  
    // go through each of the vertices, plus the next vertex in the list
    var next = 0;
    for (var current=0; current<vertices.length; current++) {
  
      // get next vertex in list if we've hit the end, wrap around to 0
      next = current+1;
      if (next === vertices.length) next = 0;
  
      // get the PVectors at our current position extract X/Y coordinates from each
      var x3 = vertices[current].x;
      var y3 = vertices[current].y;
      var x4 = vertices[next].x;
      var y4 = vertices[next].y;
  
      // do a Line/Line comparison if true, return 'true' immediately and stop testing (faster)
      var hit = this.collideLineLine(x1, y1, x2, y2, x3, y3, x4, y4);
      if (hit) {
        return true;
      }
    }
    // never got a hit
    return false;
  }
  
  
  // p5.vector version of collideLinePoly
  p5.prototype.collideLinePolyVector = function(p1, p2, vertice){
    return p5.prototype.collideLinePoly(p1.x, p1.y, p2.x, p2.y, vertice);
  }
  
  p5.prototype.collidePolyPoly = function(p1, p2, interior) {
    if (interior === undefined){
      interior = false;
    }
  
    // go through each of the vertices, plus the next vertex in the list
    var next = 0;
    for (var current=0; current<p1.length; current++) {
  
      // get next vertex in list, if we've hit the end, wrap around to 0
      next = current+1;
      if (next === p1.length) next = 0;
  
      // get the PVectors at our current position this makes our if statement a little cleaner
      var vc = p1[current];    // c for "current"
      var vn = p1[next];       // n for "next"
  
      //use these two points (a line) to compare to the other polygon's vertices using polyLine()
      var collision = this.collideLinePoly(vc.x,vc.y,vn.x,vn.y,p2);
      if (collision) return true;
  
      //check if the either polygon is INSIDE the other
      if(interior === true){
        collision = this.collidePointPoly(p2[0].x, p2[0].y, p1);
        if (collision) return true;
        collision = this.collidePointPoly(p1[0].x, p1[0].y, p2);
        if (collision) return true;
      }
    }
  
    return false;
  }
  
  p5.prototype.collidePolyPolyVector = function(p1, p2, interior) {
    return p5.prototype.collidePolyPoly(p1, p2, interior);
  }
  
  p5.prototype.collidePointTriangle = function(px, py, x1, y1, x2, y2, x3, y3) {
  
    // get the area of the triangle
    var areaOrig = this.abs( (x2-x1)*(y3-y1) - (x3-x1)*(y2-y1) );
  
    // get the area of 3 triangles made between the point and the corners of the triangle
    var area1 =    this.abs( (x1-px)*(y2-py) - (x2-px)*(y1-py) );
    var area2 =    this.abs( (x2-px)*(y3-py) - (x3-px)*(y2-py) );
    var area3 =    this.abs( (x3-px)*(y1-py) - (x1-px)*(y3-py) );
  
    // if the sum of the three areas equals the original, we're inside the triangle!
    if (area1 + area2 + area3 === areaOrig) {
      return true;
    }
    return false;
  }
  
  // p5.vector version of collidePointTriangle
  p5.prototype.collidePointTriangleVector = function(p, p1, p2, p3){
    return p5.prototype.collidePointTriangle(p.x, p.y, p1.x, p1.y, p2.x, p2.y, p3.x, p3.y);
  }
  
  p5.prototype.collidePointPoint = function (x,y,x2,y2, buffer) {
      if(buffer === undefined){
        buffer = 0;
      }
  
      if(this.dist(x,y,x2,y2) <= buffer){
        return true;
      }
  
    return false;
  };
  
  // p5.vector version of collidePointPoint
  p5.prototype.collidePointPointVector = function(p1, p2, buffer){
    return p5.prototype.collidePointPoint(p1.x,p1.y,p2.x,p2.y, buffer);
  }
  
  p5.prototype.collidePointArc = function(px, py, ax, ay, arcRadius, arcHeading, arcAngle, buffer) {
  
    if (buffer === undefined) {
      buffer = 0;
    }
    // point
    var point = this.createVector(px, py);
    // arc center point
    var arcPos = this.createVector(ax, ay);
    // arc radius vector
    var radius = this.createVector(arcRadius, 0).rotate(arcHeading);
  
    var pointToArc = point.copy().sub(arcPos);
  
    if (point.dist(arcPos) <= (arcRadius + buffer)) {
      var dot = radius.dot(pointToArc);
      var angle = radius.angleBetween(pointToArc);
      if (dot > 0 && angle <= arcAngle / 2 && angle >= -arcAngle / 2) {
        return true;
      }
    }
    return false;
  }
  
  // p5.vector version of collidePointArc
  p5.prototype.collidePointArcVector = function(p1, a, arcRadius, arcHeading, arcAngle, buffer){
    return p5.prototype.collidePointArc(p1.x, p1.y, a.x, a.y, arcRadius, arcHeading, arcAngle, buffer);
  }