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PVector randomInCirc(float cx, float cy, float d) {
  d/=4;
  float t = TWO_PI*random(d);
  float u = random(d)+random(d);
  d = (u>1) ? 2-u : u;
  return new PVector(cx+d*cos(t), cy+d*sin(t));
}

PVector randomInCircSnap(float cx, float cy, float d, int snap) {
  d/=4;
  float t = TWO_PI*random(d);
  float u = random(d)+random(d);
  d = (u>1) ? 2-u : u;
  PVector end =  new PVector(cx+d*cos(t), cy+d*sin(t));

  return new PVector(round((end.x/snap))*snap, round((end.y/snap))*snap);
}

PVector randomInTri(PVector A, PVector B, PVector C) {
  float r1 = random(1);
  float r2 = random(1);
  float x = (1 - sqrt(r1)) * A.x + (sqrt(r1) * (1 - r2)) * B.x + (sqrt(r1) * r2) * C.x;
  float y = (1 - sqrt(r1)) * A.y + (sqrt(r1) * (1 - r2)) * B.y + (sqrt(r1) * r2) * C.y;
  return new PVector(x, y);
}

PVector quantize2dVector(PVector v, int units)
{
  float d = dist(v.x, v.y,0,0);
  float a = atan2(v.y,v.x);
  
  a = round(a*units/TWO_PI) * TWO_PI/units;

  return new PVector( cos(a)*d, sin(a)*d );
}

void setup()
{
  size(500,500);
}
void draw()
{
  background(255);
  pushMatrix();
    translate(width/2, height/2);
    PVector m = new PVector(mouseX, mouseY);
    PVector c = new PVector(width/2, height/2);
    // Compuate actual vector towards mouse
    float d = PVector.dist(m,c);
    float a = atan2(mouseY-width/2, mouseX-height/2);
    
    PVector v = new PVector(cos(a)*d, sin(a)*d);
    float mag = v.mag();
    println(mag);
    // Draw original line
    strokeWeight(2);
    stroke(0);
    line(0,0, v.x, v.y);

    // Quantize it
    v = quantize2dVector(v,8);

    // Draw Quantized line in green
    stroke(0,255,0);
    line(0,0, v.x, v.y);
  popMatrix();  
}

PVector quantize2dVector(PVector v, int units)
{
  float d = dist(v.x, v.y,0,0);
  float a = atan2(v.y,v.x);
  
  a = round(a*units/TWO_PI) * TWO_PI/units;

  return new PVector( cos(a)*d, sin(a)*d );
}

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