Module:Color

-- Introduction: https://colorspace.r-forge.r-project.org/articles/color_spaces.html

local p = {}

local function isempty(v) return v == nil or v == '' end

local function hexToRgb(color) local cleanColor = color:gsub("&#x26;#35;", "#"):match('^[%s#]*(.-)[%s;]*$') if (#cleanColor == 6) then return { r = tonumber(string.sub(cleanColor, 1, 2), 16), g = tonumber(string.sub(cleanColor, 3, 4), 16), b = tonumber(string.sub(cleanColor, 5, 6), 16) }	elseif (#cleanColor == 3) then return { r = 17 * tonumber(string.sub(cleanColor, 1, 1), 16), g = 17 * tonumber(string.sub(cleanColor, 2, 2), 16), b = 17 * tonumber(string.sub(cleanColor, 3, 3), 16) }	end error("Invalid hexadecimal color " .. cleanColor, 1) end

local function round(v) if (v &#x3c; 0) then return math.ceil(v - 0.5) else return math.floor(v + 0.5) end end

local function rgbToHex(r, g, b)	return string.format("%02X%02X%02X", round(r), round(g), round(b)) end

local function rgbToCmyk(r, g, b)	if (r &#x3e; 255 or g &#x3e; 255 or b &#x3e; 255 or r &#x3c; 0 or g &#x3c; 0 or b &#x3c; 0) then error("Color level out of bounds") end local c = 1 - r / 255 local m = 1 - g / 255 local y = 1 - b / 255 local k = math.min(c, m, y)	if (k == 1) then c = 0 m = 0 y = 0 else local d = 1 - k		c = (c - k) / d		m = (m - k) / d		y = (y - k) / d	end return { c = c * 100, m = m * 100, y = y * 100, k = k * 100 } end

local function rgbToHsl(r, g, b)	if (r &#x3e; 255 or g &#x3e; 255 or b &#x3e; 255 or r &#x3c; 0 or g &#x3c; 0 or b &#x3c; 0) then error("Color level out of bounds") end local channelMax = math.max(r, g, b)	local channelMin = math.min(r, g, b)	local range = channelMax - channelMin local h, s	if (range == 0) then h = 0 elseif (channelMax == r) then h = 60 * ((g - b) / range) if (h &#x3c; 0) then h = 360 + h		end elseif (channelMax == g) then h = 60 * (2 + (b - r) / range) else h = 60 * (4 + (r - g) / range) end local L = channelMax + channelMin if (L == 0 or L == 510) then s = 0 else s = 100 * range / math.min(L, 510 - L)	end return { h = h, s = s, l = L * 50 / 255 } end

local function rgbToHsv(r, g, b)	if (r &#x3e; 255 or g &#x3e; 255 or b &#x3e; 255 or r &#x3c; 0 or g &#x3c; 0 or b &#x3c; 0) then error("Color level out of bounds") end local channelMax = math.max(r, g, b)	local channelMin = math.min(r, g, b)	local range = channelMax - channelMin local h, s	if (range == 0) then h = 0 elseif (channelMax == r) then h = 60 * ((g - b) / range) if (h &#x3c; 0) then h = 360 + h		end elseif (channelMax == g) then h = 60 * (2 + (b - r) / range) else h = 60 * (4 + (r - g) / range) end if (channelMax == 0) then s = 0 else s = 100 * range / channelMax end return { h = h, s = s, v = channelMax * 100 / 255 } end

-- c in [0, 255], condition tweaked for no discontinuity -- http://entropymine.com/imageworsener/srgbformula/ local function toLinear(c) if (c &#x3e; 10.314300250662591) then return math.pow((c + 14.025) / 269.025, 2.4) else return c / 3294.6 end end

local function toNonLinear(c) if (c &#x3e; 0.00313066844250063) then return 269.025 * math.pow(c, 1.0/2.4) - 14.025 else return 3294.6 * c	end end

local function srgbToCielchuvD65o2deg(r, g, b)	if (r &#x3e; 255 or g &#x3e; 255 or b &#x3e; 255 or r &#x3c; 0 or g &#x3c; 0 or b &#x3c; 0) then error("Color level out of bounds") end local R = toLinear(r) local G = toLinear(g) local B = toLinear(b) -- https://github.com/w3c/csswg-drafts/issues/5922 local X = 0.1804807884018343 * B + 0.357584339383878 * G + 0.41239079926595934 * R	local Y = 0.07219231536073371 * B + 0.21263900587151027 * R + 0.715168678767756 * G	local Z = 0.01933081871559182 * R + 0.11919477979462598 * G + 0.9505321522496607 * B	local L, C, h	if (Y &#x3e; 0.00885645167903563082) then L = 116 * math.pow(Y, 1/3) - 16 else L = Y * 903.2962962962962962963 end if ((r == g and g == b) or L == 0) then C = 0 h = 0 else d = X + 3 * Z + 15 * Y		if (d == 0) then C = 0 h = 0 else -- 0.19783... and 0.4631... computed with extra precision from (X,Y,Z) when (R,G,B) = (1,1,1), -- in which case (u,v) ≈ (0,0) local us = 4 * X / d - 0.19783000664283678994 local vs = 9 * Y / d - 0.46831999493879099801 h = math.atan2(vs, us) * 57.2957795130823208768 if (h &#x3c; 0) then h = h + 360 elseif (h == 0) then h = 0 -- ensure zero is positive end C = math.sqrt(us * us + vs * vs) * 13 * L			if (C == 0) then C = 0 h = 0 end end end return { L = L, C = C, h = h } end

local function srgbMix(t, r0, g0, b0, r1, g1, b1) if (t &#x3e; 1 or t &#x3c; 0) then error("Interpolation parameter out of bounds") end if (r0 &#x3e; 255 or g0 &#x3e; 255 or b0 &#x3e; 255 or r1 &#x3e; 255 or g1 &#x3e; 255 or b1 &#x3e; 255 or r0 &#x3c; 0 or g0 &#x3c; 0 or b0 &#x3c; 0 or r1 &#x3c; 0 or g1 &#x3c; 0 or b1 &#x3c; 0) then error("Color level out of bounds") end local tc = 1 - t	return { r = toNonLinear(tc * toLinear(r0) + t * toLinear(r1)), g = toNonLinear(tc * toLinear(g0) + t * toLinear(g1)), b = toNonLinear(tc * toLinear(b0) + t * toLinear(b1)) } end

local function formatToPrecision(value, p) return string.format("%." .. p .. "f", value) end

local function getFractionalZeros(p) if (p &#x3e; 0) then return "." .. string.rep("0", p)	else return "" end end

function p.hexToRgbTriplet(frame) local args = frame.args or frame:getParent.args local hex = args[1] if (hex) then local rgb = hexToRgb(hex) return rgb.r .. ', ' .. rgb.g .. ', ' .. rgb.b	else return "" end end

function p.hexToCmyk(frame) local args = frame.args or frame:getParent.args local hex = args[1] if (hex) then local p = tonumber(args.precision) or 0 local s = args.pctsign or "1" local rgb = hexToRgb(hex) local cmyk = rgbToCmyk(rgb.r, rgb.g, rgb.b)		local fk = formatToPrecision(cmyk.k, p)		local fc, fm, fy		local fracZeros = getFractionalZeros(p) if (fk == 100 .. fracZeros) then local fZero = 0 .. fracZeros fc = fZero fm = fZero fy = fZero else fc = formatToPrecision(cmyk.c, p)			fm = formatToPrecision(cmyk.m, p)			fy = formatToPrecision(cmyk.y, p)		end if (s ~= "0") then return fc .. "%, " .. fm .. "%, " .. fy .. "%, " .. fk .. "%"		else return fc .. ", " .. fm .. ", " .. fy .. ", " .. fk		end else return "" end end

function p.hexToHsl(frame) local args = frame.args or frame:getParent.args local hex = args[1] if (hex) then local p = tonumber(args.precision) or 0 local rgb = hexToRgb(hex) local hsl = rgbToHsl(rgb.r, rgb.g, rgb.b)		local fl = formatToPrecision(hsl.l, p)		local fs, fh		local fracZeros = getFractionalZeros(p) local fZero = 0 .. fracZeros if (fl == fZero or fl == 100 .. fracZeros) then fs = fZero fh = fZero else fs = formatToPrecision(hsl.s, p)			if (fs == fZero) then fh = fZero else fh = formatToPrecision(hsl.h, p) if (fh == 360 .. fracZeros) then fh = fZero -- handle rounding to 360 end end end return fh .. "°, " .. fs .. "%, " .. fl .. "%"	else return "" end end

function p.hexToHsv(frame) local args = frame.args or frame:getParent.args local hex = args[1] if (hex) then local p = tonumber(args.precision) or 0 local rgb = hexToRgb(hex) local hsv = rgbToHsv(rgb.r, rgb.g, rgb.b)		local fv = formatToPrecision(hsv.v, p)		local fs, fh		local fracZeros = getFractionalZeros(p) local fZero = 0 .. fracZeros if (fv == fZero) then fh = fZero fs = fZero else fs = formatToPrecision(hsv.s, p)			if (fs == fZero) then fh = fZero else fh = formatToPrecision(hsv.h, p) if (fh == 360 .. fracZeros) then fh = fZero -- handle rounding to 360 end end end return fh .. "°, " .. fs .. "%, " .. fv .. "%"	else return "" end end

function p.hexToCielch(frame) local args = frame.args or frame:getParent.args local hex = args[1] if (hex) then local p = tonumber(args.precision) or 0 local rgb = hexToRgb(hex) local LCh = srgbToCielchuvD65o2deg(rgb.r, rgb.g, rgb.b)		local fL = formatToPrecision(LCh.L, p)		local fC, fh		local fracZeros = getFractionalZeros(p) local fZero = 0 .. fracZeros if (fL == fZero or fL == 100 .. fracZeros) then fC = fZero fh = fZero else fC = formatToPrecision(LCh.C, p)			if (fC == fZero) then fh = fZero else fh = formatToPrecision(LCh.h, p) if (fh == 360 .. fracZeros) then fh = fZero -- handle rounding to 360 end end end return fL .. ", " .. fC .. ", " .. fh .. "°"	else return "" end end

function p.hexMix(frame) local args = frame.args or frame:getParent.args local hex0 = args[1] local hex1 = args[2] if (isempty(hex0) or isempty(hex1)) then return "" end local t = args[3] if (isempty(t)) then t = 0.5 else t = tonumber(t) local min = tonumber(args.min) or 0 local max = tonumber(args.max) or 100 if (min &#x3e;= max) then error("Minimum proportion greater than or equal to maximum") elseif (t &#x3c; min) then t = 0 elseif (t &#x3e; max) then t = 1 else t = (t - min) / (max - min) end end local rgb0 = hexToRgb(hex0) local rgb1 = hexToRgb(hex1) local rgb = srgbMix(t, rgb0.r, rgb0.g, rgb0.b, rgb1.r, rgb1.g, rgb1.b)	return rgbToHex(rgb.r, rgb.g, rgb.b) end

return p