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(.module:
[lux #*
[control ["eq" equivalence]]
[data
[collection
["." list ("list/." Functor<List>)]]]
["." math]
[type
abstract]])
(def: rgb Nat +256)
(def: top Nat (dec rgb))
(def: rgb-factor Frac (|> top .int int-to-frac))
(def: scale-down
(-> Nat Frac)
(|>> .int int-to-frac (f// rgb-factor)))
(def: scale-up
(-> Frac Nat)
(|>> (f/* rgb-factor) frac-to-int .nat))
(abstract: #export Color {}
{#red Nat
#green Nat
#blue Nat}
(def: #export (color [red green blue])
(-> [Nat Nat Nat] Color)
(:abstraction [(n/% rgb red)
(n/% rgb green)
(n/% rgb blue)]))
(def: #export unpack
(-> Color [Nat Nat Nat])
(|>> :representation))
(structure: #export _ (eq.Equivalence Color)
(def: (= reference sample)
(let [[rr rg rb] (:representation reference)
[sr sg sb] (:representation sample)]
(and (n/= rr sr)
(n/= rg sg)
(n/= rb sb)))))
)
(def: #export (to-hsl color)
(-> Color [Frac Frac Frac])
(let [[red green blue] (unpack color)
red (scale-down red)
green (scale-down green)
blue (scale-down blue)
max ($_ f/max red green blue)
min ($_ f/min red green blue)
luminance (|> (f/+ max min) (f// 2.0))]
(if (f/= max min)
## Achromatic
[0.0 0.0 luminance]
## Chromatic
(let [diff (|> max (f/- min))
saturation (|> diff
(f// (if (f/> 0.5 luminance)
(|> 2.0 (f/- max) (f/- min))
(|> max (f/+ min)))))
hue' (cond (f/= red max)
(|> green (f/- blue) (f// diff)
(f/+ (if (f/< blue green) 6.0 0.0)))
(f/= green max)
(|> blue (f/- red) (f// diff)
(f/+ 2.0))
## (f/= blue max)
(|> red (f/- green) (f// diff)
(f/+ 4.0)))]
[(|> hue' (f// 6.0))
saturation
luminance]))))
(def: (hue-to-rgb p q t)
(-> Frac Frac Frac Frac)
(let [t (cond (f/< 0.0 t) (f/+ 1.0 t)
(f/> 1.0 t) (f/- 1.0 t)
## else
t)
f2/3 (f// 3.0 2.0)]
(cond (f/< (f// 6.0 1.0) t)
(|> q (f/- p) (f/* 6.0) (f/* t) (f/+ p))
(f/< (f// 2.0 1.0) t)
q
(f/< f2/3 t)
(|> q (f/- p) (f/* (|> f2/3 (f/- t))) (f/* 6.0) (f/+ p))
## else
p)))
(def: #export (from-hsl [hue saturation luminance])
(-> [Frac Frac Frac] Color)
(if (f/= 0.0 saturation)
## Achromatic
(let [intensity (scale-up luminance)]
(color [intensity intensity intensity]))
## Chromatic
(let [q (if (f/< 0.5 luminance)
(|> saturation (f/+ 1.0) (f/* luminance))
(|> luminance (f/+ saturation) (f/- (f/* saturation luminance))))
p (|> luminance (f/* 2.0) (f/- q))
third (|> 1.0 (f// 3.0))]
(color [(scale-up (|> hue (f/+ third) (hue-to-rgb p q)))
(scale-up (|> hue (hue-to-rgb p q)))
(scale-up (|> hue (f/- third) (hue-to-rgb p q)))]))))
(def: #export (to-hsb color)
(-> Color [Frac Frac Frac])
(let [[red green blue] (unpack color)
red (scale-down red)
green (scale-down green)
blue (scale-down blue)
max ($_ f/max red green blue)
min ($_ f/min red green blue)
brightness max
diff (|> max (f/- min))
saturation (if (f/= 0.0 max)
0.0
(|> diff (f// max)))]
(if (f/= max min)
## Achromatic
[0.0 saturation brightness]
## Chromatic
(let [hue (cond (f/= red max)
(|> green (f/- blue) (f// diff)
(f/+ (if (f/< blue green) 6.0 0.0)))
(f/= green max)
(|> blue (f/- red) (f// diff)
(f/+ 2.0))
## (f/= blue max)
(|> red (f/- green) (f// diff)
(f/+ 4.0)))]
[(|> hue (f// 6.0))
saturation
brightness]))))
(def: #export (from-hsb [hue saturation brightness])
(-> [Frac Frac Frac] Color)
(let [hue (|> hue (f/* 6.0))
i (math.floor hue)
f (|> hue (f/- i))
p (|> 1.0 (f/- saturation) (f/* brightness))
q (|> 1.0 (f/- (f/* f saturation)) (f/* brightness))
t (|> 1.0 (f/- (|> 1.0 (f/- f) (f/* saturation))) (f/* brightness))
v brightness
mod (|> i (f/% 6.0) frac-to-int .nat)
red (case mod +0 v +1 q +2 p +3 p +4 t +5 v _ (undefined))
green (case mod +0 t +1 v +2 v +3 q +4 p +5 p _ (undefined))
blue (case mod +0 p +1 p +2 t +3 v +4 v +5 q _ (undefined))]
(color [(scale-up red)
(scale-up green)
(scale-up blue)])))
(def: #export (to-cmyk color)
(-> Color [Frac Frac Frac Frac])
(let [[red green blue] (unpack color)
red (scale-down red)
green (scale-down green)
blue (scale-down blue)
key (|> 1.0 (f/- ($_ f/max red green blue)))
f (if (f/< 1.0 key)
(|> 1.0 (f// (|> 1.0 (f/- key))))
0.0)
cyan (|> 1.0 (f/- red) (f/- key) (f/* f))
magenta (|> 1.0 (f/- green) (f/- key) (f/* f))
yellow (|> 1.0 (f/- blue) (f/- key) (f/* f))]
[cyan magenta yellow key]))
(def: #export (from-cmyk [cyan magenta yellow key])
(-> [Frac Frac Frac Frac] Color)
(if (f/= 1.0 key)
(color [+0 +0 +0])
(let [red (|> (|> 1.0 (f/- cyan))
(f/* (|> 1.0 (f/- key))))
green (|> (|> 1.0 (f/- magenta))
(f/* (|> 1.0 (f/- key))))
blue (|> (|> 1.0 (f/- yellow))
(f/* (|> 1.0 (f/- key))))]
(color [(scale-up red) (scale-up green) (scale-up blue)]))))
(def: (normalize ratio)
(-> Frac Frac)
(cond (f/> 1.0 ratio)
(f/% 1.0 ratio)
(f/< 0.0 ratio)
(|> 1.0 (f/+ (f/% 1.0 ratio)))
## else
ratio))
(def: #export (interpolate ratio end start)
(-> Frac Color Color Color)
(let [dS (normalize ratio)
dE (|> 1.0 (f/- dS))
interpolate' (: (-> Nat Nat Nat)
(function (_ end start)
(|> (|> start .int int-to-frac (f/* dS))
(f/+ (|> end .int int-to-frac (f/* dE)))
frac-to-int
.nat)))
[redS greenS blueS] (unpack start)
[redE greenE blueE] (unpack end)]
(color [(interpolate' redE redS)
(interpolate' greenE greenS)
(interpolate' blueE blueS)])))
(def: black Color (color [+0 +0 +0]))
(def: white Color (color [top top top]))
(do-template [<name> <target>]
[(def: #export (<name> ratio color)
(-> Frac Color Color)
(interpolate ratio <target> color))]
[darker black]
[brighter white]
)
(def: #export (complement color)
(-> Color Color)
(let [[red green blue] (unpack color)
adjust (function (_ value) (|> top (n/- value)))]
(..color [(adjust red)
(adjust green)
(adjust blue)])))
(do-template [<name> <op>]
[(def: #export (<name> ratio color)
(-> Frac Color Color)
(let [[hue saturation luminance] (to-hsl color)]
(from-hsl [hue
(|> saturation
(f/* (|> 1.0 (<op> (normalize ratio))))
(f/min 1.0))
luminance])))]
[saturate f/+]
[de-saturate f/-]
)
(def: #export (gray-scale color)
(-> Color Color)
(let [[_ _ luminance] (to-hsl color)]
(from-hsl [0.0 0.0 luminance])))
(do-template [<name> <1> <2>]
[(def: #export (<name> color)
(-> Color [Color Color Color])
(let [[hue saturation luminance] (to-hsl color)]
[color
(from-hsl [(|> hue (f/+ <1>) normalize) saturation luminance])
(from-hsl [(|> hue (f/+ <2>) normalize) saturation luminance])]))]
[triad (|> 1.0 (f// 3.0)) (|> 2.0 (f// 3.0))]
[clash (|> 1.0 (f// 4.0)) (|> 3.0 (f// 4.0))]
[split-complement (|> 1.0 (f// 5.0)) (|> 3.0 (f// 5.0))]
)
(do-template [<name> <1> <2> <3>]
[(def: #export (<name> color)
(-> Color [Color Color Color Color])
(let [[hue saturation luminance] (to-hsl color)]
[color
(from-hsl [(|> hue (f/+ <1>) normalize) saturation luminance])
(from-hsl [(|> hue (f/+ <2>) normalize) saturation luminance])
(from-hsl [(|> hue (f/+ <3>) normalize) saturation luminance])]))]
[square (|> 1.0 (f// 4.0)) (|> 2.0 (f// 4.0)) (|> 3.0 (f// 4.0))]
[tetradic (|> 2.0 (f// 12.0)) (|> 6.0 (f// 12.0)) (|> 8.0 (f// 12.0))]
)
(def: #export (analogous results slice color)
(-> Nat Frac Color (List Color))
(if (n/= +0 results)
(list)
(let [[hue saturation luminance] (to-hsl color)
slice (normalize slice)]
(list/map (function (_ idx)
(from-hsl [(|> idx .int int-to-frac (f/* slice) (f/+ hue) normalize)
saturation
luminance]))
(list.n/range +0 (dec results))))))
(def: #export (monochromatic results color)
(-> Nat Color (List Color))
(if (n/= +0 results)
(list)
(let [[hue saturation brightness] (to-hsb color)
slice (|> 1.0 (f// (|> results .int int-to-frac)))]
(|> (list.n/range +0 (dec results))
(list/map (|>> .int int-to-frac
(f/* slice)
(f/+ brightness)
normalize
[hue saturation]
from-hsb))))))
|
