How do I get the hue, saturation and brightness values from a color?

Question

I want to define a new colour (myorange) by changing the hue value of a previously given colour (oldcolour), thus maintaining its original saturation and brightness. Is there a way for doing this?

I can think of two strategies. First, having a function changehue that returns a colour from another, but with a hue defined by the user. It would be used as follows:

colorlet{myorange}{changehue{oldcolour}{30}}

Or maybe:

colorlet{myorange}{changehue{oldcolour}{orange}}

In this last case, changehue would extract the hue of orange and plug it into the code. This way would be better for me.

In the second strategy, we just define the colour with the definecolor with the hsb colour model with the help of functions for extracting the hue, saturation and brightness of the colour previously given.

definecolor{myorange}{hsb}{hue{orange}, saturation{oldcolour}, brightness{oldcolour}}

I strongly prefer this second strategy, which is the way presupposed by my question. It would be useful to know if commands like hue, saturation, and brightness exist or can be defined.

Thanks in advance for your help.

user194703 · Answer

This might be a partial answer. You can define a color series and vary, say, the hue value. The perhaps more important information is that extractcolorspecs allows you to extract the color specifications of a given color. This can be converted to a given color scheme with convertcolorspec. The last two commands have been merged to the convertdirectly command, which I am recycling here.

documentclass{article}
usepackage{xcolor}
% from https://tex.stackexchange.com/a/283618
newcommand{convertdirectly}[3][hsb]{begingroup%
  extractcolorspecs{#2}{modelcmd}{colorcmd}%
  convertcolorspec{modelcmd}{colorcmd}{#1}{tmp}%
  message{#2 in #1 is tmp^^J}%
  aftergroupdef#3tmp}
defFirst#1,#2,#3{#1}
defSecond#1,#2,#3{#2}
defThird#1,#2,#3{#3}
newcommand{hue}[1]{convertdirectly{#1}{tmp}%
expandafterFirsttmp}
newcommand{Hue}[2]{begingroupconvertdirectly{#1}{tmp}%
edefres{expandafterFirsttmp}%
aftergroupdef#2res}
newcommand{saturation}[1]{convertdirectly{#1}{tmp}%
expandafterSecondtmp}
newcommand{Saturation}[2]{begingroupconvertdirectly{#1}{tmp}%
edefres{expandafterSecondtmp}%
aftergroupdef#2res}
newcommand{brightness}[1]{convertdirectly{#1}{tmp}%
expandafterThirdtmp}
newcommand{Brightness}[2]{begingroupconvertdirectly{#1}{tmp}%
edefres{expandafterThirdtmp}%
aftergroupdef#2res}
newcounter{myc}
begin{document}
definecolorseries{changehue}{hsb}{step}{orange}{0,0.1,0}
resetcolorseries[12]{changehue}%
loopstepcounter{myc}colorlet{mycolor}{changehue!![numbervalue{myc}]}%
extractcolorspecs{mycolor}{modelcmd}{colorcmd}%
model=textcolor{mycolor}{modelcmd},%
color=textcolor{mycolor}{colorcmd}parifnumvalue{myc}<11repeat

the hsb ``code'' of orange is convertdirectly{orange}{hsborange}hsborange

the hsb ``code'' of brown is convertdirectly{brown}{hsbbrown}hsbbrown

hue of orange=hue{orange}

saturation of orange=saturation{orange}

brightness of orange=brightness{orange}

Hue{orange}{myhue}Saturation{blue}{mysaturation}Brightness{brown}mybrightness

definecolor{myorange}{hsb}{myhue,mysaturation,mybrightness}

textcolor{myorange}{Test}
end{document}

How do I get the hue, saturation and brightness values from a color?

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