I figured I should post this question, even if I have already found a solution, as a Java implementation was not readily available when I searched for it.
Using HSV
I don't know anything about color math, but I can offer this alternative structure for the code, which tickles my aesthetic sense because it made it obvious to me how each of the 6 cases is just a different permutation of value, t and p. (Also I have an irrational fear of long if-else chains.)
public static String hsvToRgb(float hue, float saturation, float value) {
int h = (int)(hue * 6);
float f = hue * 6 - h;
float p = value * (1 - saturation);
float q = value * (1 - f * saturation);
float t = value * (1 - (1 - f) * saturation);
switch (h) {
case 0: return rgbToString(value, t, p);
case 1: return rgbToString(q, value, p);
case 2: return rgbToString(p, value, t);
case 3: return rgbToString(p, q, value);
case 4: return rgbToString(t, p, value);
case 5: return rgbToString(value, p, q);
default: throw new RuntimeException("Something went wrong when converting from HSV to RGB. Input was " + hue + ", " + saturation + ", " + value);
}
}
public static String rgbToString(float r, float g, float b) {
String rs = Integer.toHexString((int)(r * 256));
String gs = Integer.toHexString((int)(g * 256));
String bs = Integer.toHexString((int)(b * 256));
return rs + gs + bs;
}