Project-07-curves

//Jenny Wang
//sectionB
//jiayiw3@andrew.cmu.edu
//project - 07 - curves

var nPoints = 150;

function setup() {
    createCanvas(480, 480);
    background(29,7,79);//dark purple
    frameRate(10);
}

function draw() {
    push();
    //make the center of canvas the origin
    translate(width/2,height/2);

    //draw loop for the curves 1 & 2
    background(29,7,79);//dark purple
    curve1();
    curve2();
    curve3();
    pop();
}

function curve1(){

    //Epicycloid Involute
    //https://mathworld.wolfram.com/EpicycloidInvolute.html
    
    //set varibale
    var x;
    var y;
    var a = mouseX/8
    var b = mouseY/8
    
    beginShape();
    noFill();
    stroke(247,246,208);//light yellow
    for(var i=0; i<nPoints; i++){
            var t = map(i,0,nPoints,0,TWO_PI);
            x = (a+b)*cos(t)-b*cos(((a+b)/b)*t);
            y = (a+b)*sin(t)-b*sin(((a+b)/b)*t);
            vertex(x,y);
            
        endShape(CLOSE);
    }
}

function curve2(){

    //Epicycloid Involute
    //https://mathworld.wolfram.com/EpicycloidInvolute.html
    
    //set variable
    var x;
    var y;
    var a = mouseX/5
    var b = mouseY/5
    
    beginShape();
    noFill();
    stroke("white");//white
    for(var i=0; i<nPoints; i++){
            var t = map(i,0,nPoints,0,PI+QUARTER_PI);
            x = (a+b)*cos(t)-b*cos(((a+b)/b)*t);
            y = (a+b)*sin(t)-b*sin(((a+b)/b)*t);
            vertex(x,y);
            
        endShape(CLOSE);
    }
}

function curve3(){

    //Epicycloid Involute
    //https://mathworld.wolfram.com/EpicycloidInvolute.html
    
    //set variable
    var x;
    var y;
    var a = mouseX/3
    var b = mouseY/3
    
    beginShape();
    noFill();
    stroke("pink");//pink
    for(var i=0; i<nPoints; i++){
            var t = map(i,0,nPoints,0,PI);
            x = (a+b)*cos(t)-b*cos(((a+b)/b)*t);
            y = (a+b)*sin(t)-b*sin(((a+b)/b)*t);
            vertex(x,y);
            
        endShape(CLOSE);
    }
}