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                //Ghalya Alsanea
//07 Hypotrochoids

var outR;               //outer circle radius
var inR;                //inner circle radius
var d = 100;            //distance for drawing pedal 
var t;                  //theta variable
var points = 10000;     //number of points to draw in for loop
var color2;             //global color variable

//constrained mouse values
var MX;
var MY;
//x and y values for resulting curve
var x;
var y;

function setup() {
    createCanvas(480, 480);

function draw() {
    //constrain mouse x and y within the canvas
    MX = constrain(mouseX, 0, width);
    MY = constrain(mouseY, 0, height);

    //map background color based on mouse location
    var color0 = map(MX, 0, width, 150, 250);
    var color1 = map(MY, 0, height, 150, 250);
    background(color0, color1, 200);

    //mapped color value based on mouse y location
    color2 = map(MY, 0, height, 0, 255);

    //draw everything using the center of canvas as (0,0)
    translate(width/2, height/2);
    //map the driving circle dimensions to mous x pos
    n = map(MX, 0, width, 0, 6)
    //rose formula for the radii
    outR = (2*n*d)/(n+1);
    inR = (n-1)*d/(n+1);


function drawHypotrochoid() {
    //map color value to mouse y location
    stroke(color2, 0, 0);

    //draw the resulting curve
    for (var i = 0; i < points; i++) {
        // map theta to full circle radians
        t = map(i, 0, points, 0, TWO_PI);
        //use the mathematical formula of a Hypotrochoid to find x and y values
        x = (outR - inR) * cos(t) + d * cos((outR-inR) / inR * t);
        y = (outR - inR) * sin(t) - d * sin((outR-inR) / inR * t);
        vertex(x, y);


function drawBaseCrvs() {
    //draw outer circle
    stroke(0, 0, 255);
    ellipse(0, 0, 2*outR, 2*outR);

    //draw the inner circle and line 
    ellipse((outR+inR) * cos(t), (outR+inR) * sin(t), 5, 5);
    line((outR+inR) * cos(t), (outR+inR) * sin(t), x, y);
    ellipse((outR+inR) * cos(t), (outR+inR) * sin(t), 2 * inR, 2 * inR);

    //draw pedal dot
    fill(color2, 0, 0);
    ellipse(x, y, 5, 5);