#version 330

/*************************************************************************************

  The Sieve of Eratosthenes -- a simple shader by ProfJski
  An early prime number sieve: https://en.wikipedia.org/wiki/Sieve_of_Eratosthenes

  The screen is divided into a square grid of boxes, each representing an integer value.
  Each integer is tested to see if it is a prime number.  Primes are colored white.
  Non-primes are colored with a color that indicates the smallest factor which evenly divdes our integer.

  You can change the scale variable to make a larger or smaller grid.
  Total number of integers displayed = scale squared, so scale = 100 tests the first 10,000 integers.

  WARNING: If you make scale too large, your GPU may bog down!

***************************************************************************************/

// Input vertex attributes (from vertex shader)
in vec2 fragTexCoord;
in vec4 fragColor;

// Output fragment color
out vec4 finalColor;

// Make a nice spectrum of colors based on counter and maxSize
vec4 Colorizer(float counter, float maxSize)
{
    float red = 0.0, green = 0.0, blue = 0.0;
    float normsize = counter/maxSize;

    red = smoothstep(0.3, 0.7, normsize);
    green = sin(3.14159*normsize);
    blue = 1.0 - smoothstep(0.0, 0.4, normsize);

    return vec4(0.8*red, 0.8*green, 0.8*blue, 1.0);
}

void main()
{
    vec4 color = vec4(1.0);
    float scale = 1000.0; // Makes 100x100 square grid. Change this variable to make a smaller or larger grid.
    int value = int(scale*floor(fragTexCoord.y*scale)+floor(fragTexCoord.x*scale));  // Group pixels into boxes representing integer values

    if ((value == 0) || (value == 1) || (value == 2)) finalColor = vec4(1.0);
    else
    {
        for (int i = 2; (i < max(2, sqrt(value) + 1)); i++)
        {
            if ((value - i*floor(float(value)/float(i))) == 0)
            {
                color = Colorizer(float(i), scale);
                //break;    // Uncomment to color by the largest factor instead
            }
        }

        finalColor = color;
    }
}