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(.module:
[lux #*
[control
[equivalence (#+ Equivalence)]]
[data
[number
[rev ("rev/." interval)]]
[collection
["." list ("list/." functor)]]]
["." 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))
(type: #export RGB
{#red Nat
#green Nat
#blue Nat})
(type: #export HSL
[Frac Frac Frac])
(type: #export CMYK
{#cyan Frac
#magenta Frac
#yellow Frac
#key Frac})
(type: #export HSB
[Frac Frac Frac])
(abstract: #export Color
{}
RGB
(def: #export (from-rgb [red green blue])
(-> RGB Color)
(:abstraction {#red (n/% rgb red)
#green (n/% rgb green)
#blue (n/% rgb blue)}))
(def: #export to-rgb
(-> Color RGB)
(|>> :representation))
(structure: #export equivalence (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 HSL)
(let [[red green blue] (to-rgb 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])
(-> HSL Color)
(if (f/= +0.0 saturation)
## Achromatic
(let [intensity (scale-up luminance)]
(from-rgb {#red intensity
#green intensity
#blue 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))]
(from-rgb {#red (scale-up (|> hue (f/+ third) (hue-to-rgb p q)))
#green (scale-up (|> hue (hue-to-rgb p q)))
#blue (scale-up (|> hue (f/- third) (hue-to-rgb p q)))}))))
(def: #export (to-hsb color)
(-> Color HSB)
(let [[red green blue] (to-rgb 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])
(-> HSB 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))]
(from-rgb {#red (scale-up red)
#green (scale-up green)
#blue (scale-up blue)})))
(def: #export (to-cmyk color)
(-> Color CMYK)
(let [[red green blue] (to-rgb 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 cyan
#magenta magenta
#yellow yellow
#key key}))
(def: #export (from-cmyk [cyan magenta yellow key])
(-> CMYK Color)
(if (f/= +1.0 key)
(from-rgb {#red 0
#green 0
#blue 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))))]
(from-rgb {#red (scale-up red)
#green (scale-up green)
#blue (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] (to-rgb start)
[redE greenE blueE] (to-rgb end)]
(from-rgb {#red (interpolate' redE redS)
#green (interpolate' greenE greenS)
#blue (interpolate' blueE blueS)})))
(def: #export black (from-rgb {#red 0
#green 0
#blue 0}))
(def: #export white (from-rgb {#red top
#green top
#blue 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] (to-rgb color)
adjust (function (_ value) (|> top (n/- value)))]
(from-rgb {#red (adjust red)
#green (adjust green)
#blue (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.indices 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.indices results)
(list/map (|>> .int int-to-frac
(f/* slice)
(f/+ brightness)
normalize
[hue saturation]
from-hsb))))))
(type: #export Alpha Rev)
(def: #export transparent
Alpha
rev/bottom)
(def: #export translucent
Alpha
.5)
(def: #export opaque
Alpha
rev/top)
(type: #export Pigment
{#color Color
#alpha Alpha})
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