--[[ colour handling stuff ]] local path = (...):gsub("colour", "") local math = require(path.."mathx") local colour = {} ------------------------------------------------------------------------------- -- hex handling routines -- pack and unpack into 24 or 32 bit hex numbers local ok, bit = pcall(require, "bit") if not ok then for _, v in ipairs{ "pack_rgb", "unpack_rgb", "pack_argb", "unpack_argb", "pack_rgba", "unpack_rgba", } do colour[v] = function() error( "batteries.colour requires the bit operations module for pack/unpack functionality.\n" .."\tsee https://bitop.luajit.org/\n\n" .."error from require(\"bit\"):\n\n"..bit) end end else local band, bor = bit.band, bit.bor local lshift, rshift = bit.lshift, bit.rshift --rgb only (no alpha) function colour.pack_rgb(r, g, b) local br = lshift(band(0xff, r * 255), 16) local bg = lshift(band(0xff, g * 255), 8) local bb = lshift(band(0xff, b * 255), 0) return bor( br, bg, bb ) end function colour.unpack_rgb(rgb) local r = rshift(band(rgb, 0x00ff0000), 16) / 255 local g = rshift(band(rgb, 0x0000ff00), 8) / 255 local b = rshift(band(rgb, 0x000000ff), 0) / 255 return r, g, b end --argb format (common for shared hex) function colour.pack_argb(r, g, b, a) local ba = lshift(band(0xff, a * 255), 24) local br = lshift(band(0xff, r * 255), 16) local bg = lshift(band(0xff, g * 255), 8) local bb = lshift(band(0xff, b * 255), 0) return bor( br, bg, bb, ba ) end function colour.unpack_argb(argb) local r = rshift(band(argb, 0x00ff0000), 16) / 255 local g = rshift(band(argb, 0x0000ff00), 8) / 255 local b = rshift(band(argb, 0x000000ff), 0) / 255 local a = rshift(band(argb, 0xff000000), 24) / 255 return r, g, b, a end --rgba format function colour.pack_rgba(r, g, b, a) local br = lshift(band(0xff, r * 255), 24) local bg = lshift(band(0xff, g * 255), 16) local bb = lshift(band(0xff, b * 255), 8) local ba = lshift(band(0xff, a * 255), 0) return bor( br, bg, bb, ba ) end function colour.unpack_rgba(rgba) local r = rshift(band(rgba, 0xff000000), 24) / 255 local g = rshift(band(rgba, 0x00ff0000), 16) / 255 local b = rshift(band(rgba, 0x0000ff00), 8) / 255 local a = rshift(band(rgba, 0x000000ff), 0) / 255 return r, g, b, a end end ------------------------------------------------------------------------------- -- colour space conversion -- rgb is the common language but it's useful to have other spaces to work in -- for us as humans :) --convert hsl to rgb --all components are 0-1, hue is fraction of a turn rather than degrees or radians function colour.hsl_to_rgb(h, s, l) --wedge slice local w = (math.wrap(h, 0, 1) * 6) --chroma local c = (1 - math.abs(2 * l - 1)) * s --secondary local x = c * (1 - math.abs(w % 2 - 1)) --lightness boost local m = l - c / 2 --per-wedge logic local r, g, b = m, m, m if w < 1 then r = r + c g = g + x elseif w < 2 then r = r + x g = g + c elseif w < 3 then g = g + c b = b + x elseif w < 4 then g = g + x b = b + c elseif w < 5 then b = b + c r = r + x else b = b + x r = r + c end return r, g, b end --convert rgb to hsl function colour.rgb_to_hsl(r, g, b) local max, min = math.max(r, g, b), math.min(r, g, b) if max == min then return 0, 0, min end local l, d = max + min, max - min local s, h = d / (l > 1 and (2 - l) or l) l = l / 2 if max == r then h = (g - b) / d if g < b then h = h + 6 end elseif max == g then h = (b - r) / d + 2 else h = (r - g) / d + 4 end return h / 6, s, l end --todo: hsv, other colour spaces --todo: oklab https://bottosson.github.io/posts/oklab/ --colour distance functions --distance of one colour to another (linear space) --can be used for finding nearest colours for palette mapping, for example function colour.distance_rgb( ar, ag, ab, br, bg, bb ) local dr, dg, db = ar - br, ag - bg, ab - bb return math.sqrt(dr * dr + dg * dg + db * db) end function colour.distance_packed_rgb(a, b) local ar, ag, ab = colour.unpack_rgb(a) local br, bg, bb = colour.unpack_rgb(b) return colour.distance_rgb( ar, ag, ab, br, bg, bb ) end --todo: rgba and various other unpacks return colour