### byDaniel Shiffman

Create a more complex wave by adding two waves together.

``````/**
* by Daniel Shiffman.
*
* Create a more complex wave by adding two waves together.
*/

int xspacing = 8;   // How far apart should each horizontal location be spaced
int w;              // Width of entire wave
int maxwaves = 4;   // total # of waves to add together

float theta = 0.0;
float[] amplitude = new float[maxwaves];   // Height of wave
float[] dx = new float[maxwaves];          // Value for incrementing X, to be calculated as a function of period and xspacing
float[] yvalues;                           // Using an array to store height values for the wave (not entirely necessary)

void setup() {
size(640, 360);
frameRate(30);
colorMode(RGB, 255, 255, 255, 100);
w = width + 16;

for (int i = 0; i < maxwaves; i++) {
amplitude[i] = random(10,30);
float period = random(100,300); // How many pixels before the wave repeats
dx[i] = (TWO_PI / period) * xspacing;
}

yvalues = new float[w/xspacing];
}

void draw() {
background(0);
calcWave();
renderWave();
}

void calcWave() {
// Increment theta (try different values for 'angular velocity' here
theta += 0.02;

// Set all height values to zero
for (int i = 0; i < yvalues.length; i++) {
yvalues[i] = 0;
}

// Accumulate wave height values
for (int j = 0; j < maxwaves; j++) {
float x = theta;
for (int i = 0; i < yvalues.length; i++) {
// Every other wave is cosine instead of sine
if (j % 2 == 0)  yvalues[i] += sin(x)*amplitude[j];
else yvalues[i] += cos(x)*amplitude[j];
x+=dx[j];
}
}
}

void renderWave() {
// A simple way to draw the wave with an ellipse at each location
noStroke();
fill(255,50);
ellipseMode(CENTER);
for (int x = 0; x < yvalues.length; x++) {
ellipse(x*xspacing,height/2+yvalues[x],16,16);
}
}
``````

This example is for Processing 4+. If you have a previous version, use the examples included with your software. If you see any errors or have suggestions, please let us know.