# HSV color

The HSV color space is based on how humans perceive color, and as such, makes various aesthetically-pleasing color transformations very simple.

• Hue describes where in the spectrum the color is. As Hue increases, a color will transition in the following order: Red, orange, yellow, green, teal, blue, violet, purple, magenta, red.
• Saturation denotes how vibrant a color is. Ranges from grey to pure color.
• Value is how saturated an image is, the amount of each color.

This function converts HSV values to RGB:

```-- Converts HSV to RGB. (input and output range: 0 - 255)

function HSV(h, s, v)
if s <= 0 then return v,v,v end
h, s, v = h/256*6, s/255, v/255
local c = v*s
local x = (1-math.abs((h%2)-1))*c
local m,r,g,b = (v-c), 0,0,0
if h < 1     then r,g,b = c,x,0
elseif h < 2 then r,g,b = x,c,0
elseif h < 3 then r,g,b = 0,c,x
elseif h < 4 then r,g,b = 0,x,c
elseif h < 5 then r,g,b = x,0,c
else              r,g,b = c,0,x
end return (r+m)*255,(g+m)*255,(b+m)*255
end
```

and the same function implemented in GLSL, for those that need it:

```    vec3 HSV(float h, float s, float v)
{
if (s <= 0 ) { return vec3 (v); }
h = h * 6;
float c = v*s;
float x = (1-abs((mod(h,2)-1)))*c;
float m = v-c;
float r = 0.0;
float g = 0.0;
float b = 0.0;

if (h < 1) { r = c; g = x;b = 0.0;}
else if (h < 2) { r = x; g = c; b = 0.0; }
else if (h < 3) { r = 0.0; g = c; b = x; }
else if (h < 4) { r = 0.0; g = x; b = c; }
else if (h < 5) { r = x; g = 0.0; b = c; }
else  { r = c; g = 0.0; b = x; }

return vec3(r+m,g+m,b+m);
}
```

Or for those who want to save up on space (and achieve better performance, as branching is quite costly on GPUs), here's one-liner:

```vec3 hsv(float h,float s,float v) { return mix(vec3(1.),clamp((abs(fract(h+vec3(3.,2.,1.)/3.)*6.-3.)-1.),0.,1.),s)*v; }
```