HCL color to RGB and backward

Question

I need an algorithm to convert the HCL color to RGB and backward RGB to HCL keeping in mind that these color spaces have different gamuts (I need to constrain the HCL colors

Answer 1

I'm familiar with quite a few color spaces, but this one is new to me. Alas, Mathematica's ColorConvert doesn't know it either.

I found an rgb2hcl routine here, but no routine going the other way.

A more comprehensive colorspace conversion package can be found here. It seems to be able to do conversions to and from all kinds of color spaces. Look for the file colorspace.c in colorspace_1.1-0.tar.gz\colorspace_1.1-0.tar\colorspace\src. Note that HCL is known as PolarLUV in this package.