Color Rainbow

// Rainbow color changing RGB leds example
// I am using common cathode RGB leds
int PIN_RED = 10;
int PIN_GREEN = 11;
int PIN_BLUE = 9;
int counter = 0;

// Number of colors used for animating, higher = smoother and slower animation)
int numColors = 255;

  // The combination of numColors and animationDelay determines the
  // animation speed, I recommend a higher number of colors if you want
  // to slow down the animation. Higher number of colors = smoother color changing.
int animationDelay = 10; // number milliseconds before RGB LED changes to next color

void setup() {
  pinMode(PIN_RED, OUTPUT);
  pinMode(PIN_BLUE, OUTPUT);
  pinMode(PIN_GREEN, OUTPUT);
}


void loop() {
  // This part takes care of displaying the
  // color changing in reverse by counting backwards if counter
  // is above the number of available colors
  float colorNumber = counter > numColors ? counter - numColors: counter;

  // Play with the saturation and brightness values
  // to see what they do
  float saturation = 1; // Between 0 and 1 (0 = gray, 1 = full color)
  float brightness = .05; // Between 0 and 1 (0 = dark, 1 is full brightness)
  float hue = (colorNumber / float(numColors)) * 360; // Number between 0 and 360
  long color = HSBtoRGB(hue, saturation, brightness);

  // Get the red, blue and green parts from generated color
  int red = color >> 16 & 255;
  int green = color >> 8 & 255;
  int blue = color & 255;

  setColor(red, green, blue);

  // Counter can never be greater then 2 times the number of available colors
  // the colorNumber = line above takes care of counting backwards (nicely looping animation)
  // when counter is larger then the number of available colors
  counter = (counter + 1) % (numColors * 2);

  // If you uncomment this line the color changing starts from the
  // beginning when it reaches the end (animation only plays forward)
  // counter = (counter + 1) % (numColors);

  delay(animationDelay);
}

void setColor (unsigned char red, unsigned char green, unsigned char blue)
{
   analogWrite(PIN_RED, red);
    analogWrite(PIN_GREEN, green);
    analogWrite(PIN_BLUE, blue);
}

long HSBtoRGB(float _hue, float _sat, float _brightness) {
    float red = 0.0;
    float green = 0.0;
    float blue = 0.0;

    if (_sat == 0.0) {
        red = _brightness;
        green = _brightness;
        blue = _brightness;
    } else {
        if (_hue == 360.0) {
            _hue = 0;
        }

        int slice = _hue / 60.0;
        float hue_frac = (_hue / 60.0) - slice;

        float aa = _brightness * (1.0 - _sat);
        float bb = _brightness * (1.0 - _sat * hue_frac);
        float cc = _brightness * (1.0 - _sat * (1.0 - hue_frac));

        switch(slice) {
            case 0:
                red = _brightness;
                green = cc;
                blue = aa;
                break;
            case 1:
                red = bb;
                green = _brightness;
                blue = aa;
                break;
            case 2:
                red = aa;
                green = _brightness;
                blue = cc;
                break;
            case 3:
                red = aa;
                green = bb;
                blue = _brightness;
                break;
            case 4:
                red = cc;
                green = aa;
                blue = _brightness;
                break;
            case 5:
                red = _brightness;
                green = aa;
                blue = bb;
                break;
            default:
                red = 0.0;
                green = 0.0;
                blue = 0.0;
                break;
        }
    }

    long ired = red * 255.0;
    long igreen = green * 255.0;
    long iblue = blue * 255.0;

    return long((ired << 16) | (igreen << 8) | (iblue));
}