/**
 * Converts an RGB color to HSB (hue, saturation, brightness)
 * HSB <-> RGB conversion with minimal branching: {@link http://lolengine.net/blog/2013/07/27/rgb-to-hsv-in-glsl}
 *
 * @name czm_RGBToHSB
 * @glslFunction
 * 
 * @param {vec3} rgb The color in RGB.
 *
 * @returns {vec3} The color in HSB.
 *
 * @example
 * vec3 hsb = czm_RGBToHSB(rgb);
 * hsb.z *= 0.1;
 * rgb = czm_HSBToRGB(hsb);
 */

const vec4 K_RGB2HSB = vec4(0.0, -1.0 / 3.0, 2.0 / 3.0, -1.0);

vec3 czm_RGBToHSB(vec3 rgb)
{
    vec4 p = mix(vec4(rgb.bg, K_RGB2HSB.wz), vec4(rgb.gb, K_RGB2HSB.xy), step(rgb.b, rgb.g));
    vec4 q = mix(vec4(p.xyw, rgb.r), vec4(rgb.r, p.yzx), step(p.x, rgb.r));

    float d = q.x - min(q.w, q.y);
    return vec3(abs(q.z + (q.w - q.y) / (6.0 * d + czm_epsilon7)), d / (q.x + czm_epsilon7), q.x);
}