this.x = 0;

  this.y = 0;

}

​

​

​

//coordinates of line endpoints

var x1;

var x2;

var y1;

var y2;

​

//number of lines

var numLines = 12;

//x2-x1 or y2-y1

var difference = 250;

​

var i = 0;

​

//array of lines

var lines = [];

//array of intersect values

var intersects = [];

//array of ellipses

var ellipses = [];

​

//intersect variables

var intersectX;

var intersectY;

​

// start of functions

function setup() {

  createCanvas(500,500);

​

  //create each line object

  for (var i = 0; i< numLines; i++){

    x1 = getRandomInt(width);

    x2 = getRandomInt(width);

    y1 = getRandomInt(height);

    y2 = getRandomInt(height);

        lines[i] = new Line(x1,y1,x2,y2);

​

  }

​

  }

​

​

function draw() {

  background(238,190,248);

  //update and display each line in the array

  for (var i = 0; i< lines.length; i++){

    lines[i].display();

  }

  intersectSolver();

  for(var i = 0; i< ellipses.length; i++){

    ellipses[i].display();

  }

}

​

​

function mouseClicked(){

  lines = [];

  intersects = [];

  ellipses = [];

​

  for (var i = 0; i< numLines; i++){

    x1 = random(width);

    if(x1 < width-difference){

      x2 = random(x1+difference);

    }

    else{

      x2 = random(x1-difference);

    }

    y1 = random(height);

    if(y1 < height-difference){

      y2 = random(y1+difference);

    }

    else{

      y2 = random(y1-difference);

    }

    lines[i] = new Line(x1,y1,x2,y2);

  }

}

function Line(tempX1,tempY1,tempX2,tempY2){

  //set initial values for properties

  this.x1 = tempX1;

  this.x2 = tempX2;

  this.y1 = tempY1;

  this.y2 = tempY2;

  this.display = function(){

    line(this.x1,this.y1,this.x2,this.y2);

  }

}

//Solve for point of intersection

function intersectSolver(){

​

  for(var i=0; i < lines.length; i++){

    for(var j=i+1; j < lines.length;j++){

      var LineA=lines[i];

      var LineB=lines[j];

      var unknownA = ((LineB.x2-LineB.x1)*(LineA.y1-LineB.y1)-

                     (LineB.y2-LineB.y1)*(LineA.x1-LineB.x1))/

                     ((LineB.y2-LineB.y1)*(LineA.x2-LineA.x1)-

                     (LineB.x2-LineB.x1)*(LineA.y2-LineA.y1));

      var unknownB = ((LineA.x2-LineA.x1)*(LineA.y1-LineB.y1)-

                     (LineA.y2-LineB.y1)*(LineA.x1-LineB.x1))/

                     ((LineB.y2-LineB.y1)*(LineA.x2-LineA.x1)-

                     (LineB.x2-LineB.x1)*(LineA.y2-LineA.y1));

      //if((ua>=0.0) & (ua <=1.0) && (ub>= 0.0) && (ub<= 1.0)) * reference: Golan's explanation              

      if ((unknownA >= 0.0) && (unknownA <= 1.0) && (unknownB >= 0.0) && (unknownB<= 1.0)){

        intersectX = LineA.x1 + unknownA*(LineA.x2-LineA.x1);

        intersectY = LineA.y1 + unknownA*(LineA.y2-LineA.y1);

        storeCoordinate(intersectX,intersectY, intersects);

      }

    }

  }

}

function storeCoordinate(xVal,yVal){

  intersects.push([xVal,yVal]);

  //create an array of ellipses

  for(i=0; i<intersects.length; i++){

    var interX = intersects[i][0];

    var interY = intersects[i][1];

    ellipses[i] = new Ellipse(interX,interY);

  }

}  

function Ellipse(tempX1,tempY1){

  this.x1 = tempX1;

  this.x2 = tempY1;

  this.r = 10;

  this.display = function(){

    fill(0,255,0);

    ellipse(this.x1,this.x2,this.r,this.r);

  } 

 }

​

function getRandomInt(max) {

    return Math.floor(Math.random() * Math.floor(max));

}

​

​