I'm trying to create a simple pong program but can't figure out how to make it bounce off the paddle.

I figured out how to make them bounce off of the 3 walls and then disappear off of the right hand wall but I'm at a complete loss for the paddle =\ can anyone help?

Isn't dist() only used for mice?  Here is my code, I have basically everything set except the  bouncing off the paddle.
Code:

final int WIDTH = 400, HEIGHT = 400;
final int RAD = 5;
final int PAD_HEIGHT = 40, PAD_WIDTH = 5;
final int PAD_X = 385;
final int PAD_SPEED = 10;
final int PU = 38;
final int DN = 40;
final int MAX_SPEED = 5;

final color WHITE = color(255);
final color BLACK = color(0);
final color RED = color(255,0,0);
final color GREEN = color(0,255,0);
final color BLUE = color(0,0,255);

int ballx = 200;
int bally = 200;
int pady = 180;
int speedx = int(random(1,MAX_SPEED));
int speedy = int(random(1,MAX_SPEED));
int points = 0;


void setup(){
  size(WIDTH,HEIGHT);
  ellipseMode(RADIUS);
  smooth();
}

void draw(){

background(WHITE);
 

  bally = bally - speedy;
  ballx = ballx - speedx;
  
  //Bounce off walls
  if (ballx < 5){
    speedx *= - 1;   
 }
 
  if (bally > WIDTH || bally < 5){
    speedy *= - 1;
    
  }
  
     Bounce off Paddle
 if (ballx >= 350  && (pady >= bally && pady + 40 <= bally)){
   speedy *= - 1;
   points += 1;
}
  
  //Print Game Over
 if (ballx == WIDTH || ballx == HEIGHT)
 {
 println("Game Over, Guy.");
 println(points);
 }
 
  fill(RED);
  ellipse(ballx,bally,RAD,RAD);
  noStroke(); 
  fill (BLUE); 
  rect(PAD_X,pady,PAD_WIDTH,PAD_HEIGHT);
  
 
} 

void keyPressed(){
    if(keyCode == PU){
      pady -= PAD_SPEED;
    }
    if(keyCode == DN){
      pady += PAD_SPEED;
    }
    
    //Stop paddle
    if(pady == 370){
      pady -= PAD_SPEED;
    }
     if(pady <= -10){
      pady += PAD_SPEED;
    }
} 

Here is a really basic sketch but it has potential

http://www.openprocessing.org/visuals/?visualID=8228


/Implements the technique of optikorakel
//openprocessing.org/visuals/?visualID=7554

From here you can modify when the ball collides but just checking to see what colour it comes into contact and then change direction based on where on the ellipse it hits.

Easy Ball collision code or even for some type of water-gun game where you can check and see what colour combination you can come up with.

Original sketch
http://openprocessing.org/visuals/?visualID=8227

//instructables.com/id/shaped-buttons-with-Processing/

Here is the condensed code but it is faster when you have the BNC (bounce procedure) as a separate class/sketch/tab

Code:

//Owaun Scantlebury
//Implements the technique of optikorakel
//openprocessing.org/visuals/?visualID=7554
//instructables.com/id/shaped-buttons-with-Processing/

public boolean forward = true;
public boolean up = false;
public int px=0;
public int py =0;
public int ly=0;
public int lx=0;


public color[] A,B,mix;
PGraphics ulayer;
void setup(){
  mix = new color[8];
  mix[0]=color(233,23,23);
  mix[1]=color(5,55,35);
  mix[2]=color(255,245,0);
  mix[3]=color(133,33,123);
  mix[4]=color(9,125,125);
  mix[5]=color(145,245,0);
  mix[6]=color(104,10,10);
  mix[7]=color(133,25,225);
  size(255,255,JAVA2D);
  frameRate(3000);
  loadPixels();
  A= pixels;

  ulayer = createGraphics(width,height,P2D);
  ulayer.loadPixels();

  B = ulayer.pixels;

  ulayer.smooth();
  makemask();
  smooth();
  rectMode(CENTER);
  ellipseMode(CENTER);
}

void draw(){
  bounce();

  background(-1); 

  //line(width/2,height/2,width-50,50);
  ////line(width-50,50,50,50);
  //line(width/2,height/2,50,50);
  //line(width/2,height/2,50,height-50);
  //line(width/2,height/2,width-50,height-50);
  //line(width/2,height/2,50,height/2);
  //line(width/2,height/2,width-50,height/2);
  //makepoint(width/2,height/2,25, 25,mix[0]);


  line(px,py,width-50,50);
  line(px,py,50,50);
  line(px,py,50,height-50);
  line(px,py,width-50,height-50);
  line(px,py,50,height/2);
  line(px,py,width-50,height/2);
  makepoint(px,py,25, 25,mix[0]);

  makepoint(width-50,50,25, 25,mix[1]);

  makepoint(50,50,25, 25,mix[2]);
  makepoint(50,height-50,25, 25,mix[3]);
  makepoint(width-50,height-50,25, 25,mix[4]);
  makepoint(50,height/2,25, 25,mix[5]);
  makepoint(width-50,height/2,25, 25,mix[6]);
  if (mousePressed) {
    background(-1);
    image(ulayer,0,0);

  }
}
void makemask(){
  ulayer.beginDraw();
  ulayer.rectMode(CENTER);
  ulayer.ellipseMode(CENTER);

  makepoint2(width/2,height/2,25, 25,mix[0]);

  makepoint2(width-50,50,25, 25,mix[1]);

  makepoint2(50,50,25, 25,mix[2]);
  makepoint2(50,height-50,25, 25,mix[3]);
  makepoint2(width-50,height-50,25, 25,mix[4]);
  makepoint2(50,height/2,25, 25,mix[5]);
  makepoint2(width-50,height/2,25, 25,mix[6]);
  ulayer.endDraw();
}

void makepoint(int x,int y,int h, int w,color f){
  //noFill();
  fill(-1);
  stroke(1);
  if (ulayer.get(mouseX,mouseY)==f){
    fill(f);
    rect(x,y,h,w);
  }

  ellipse(x,y,h,w);
}

void makepoint2(int x,int y,int h, int w,color f){
 
  ulayer.fill(f);
  ulayer.noStroke();

  ulayer.ellipse(x,y,h,w);
}


void keyPressed(){
 if (!online)save("marker.png"); 
}


public void bounce(){
 boolean rnd = true;
 int by = 3;
 int lo = 1;
 int hi = 5;
  
 if (forward){
  if (rnd)px+=random(lo,hi); 
   if (!rnd){
    px+=by; 
   }
 } 
 
 
   if (!forward){
     if(rnd)px-=random(lo,hi);  
     if (!rnd){
      px-=by; 
     }
     }
   
   if (up){
    if (rnd)py-=random(lo,hi*2); 
     if (!rnd){
       py+=by;
     }
     }
     
     if (!up){
      if(rnd)py+=random(lo,hi*2); 
     if (!rnd){
       py-=by;
     }  
       
     }
   
   
   if (px>width)
     {
       
       forward = false;
       
     }
     
     if (get(px,py)==mix[0]){
       forward = false; 
     }
   if (px<0)    forward = true;
   if (py>height)up     = true;
   if (py<0     )up     = false;
  }