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nvim/lua/katppuccino/utils/hsluv.lua

339 lines
8.2 KiB
Lua

--[[
Lua implementation of HSLuv and HPLuv color spaces
Homepage: http://www.hsluv.org/
Copyright (C) 2019 Alexei Boronine
Permission is hereby granted, free of charge, to any person obtaining a copy of this software and
associated documentation files (the "Software"), to deal in the Software without restriction, including
without limitation the rights to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is furnished to do so, subject to the
following conditions:
The above copyright notice and this permission notice shall be included in all copies or substantial
portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR IMPLIED, INCLUDING BUT NOT
LIMITED TO THE WARRANTIES OF MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN
NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY,
WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE
SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
]]
local hsluv = {}
local hexChars = "0123456789abcdef"
local distance_line_from_origin = function(line)
return math.abs(line.intercept) / math.sqrt((line.slope ^ 2) + 1)
end
local length_of_ray_until_intersect = function(theta, line)
return line.intercept / (math.sin(theta) - line.slope * math.cos(theta))
end
hsluv.get_bounds = function(l)
local result = {}
local sub2
local sub1 = ((l + 16) ^ 3) / 1560896
if sub1 > hsluv.epsilon then
sub2 = sub1
else
sub2 = l / hsluv.kappa
end
for i = 1, 3 do
local m1 = hsluv.m[i][1]
local m2 = hsluv.m[i][2]
local m3 = hsluv.m[i][3]
for t = 0, 1 do
local top1 = (284517 * m1 - 94839 * m3) * sub2
local top2 = (838422 * m3 + 769860 * m2 + 731718 * m1) * l * sub2 - 769860 * t * l
local bottom = (632260 * m3 - 126452 * m2) * sub2 + 126452 * t
table.insert(result, { slope = top1 / bottom, intercept = top2 / bottom })
end
end
return result
end
hsluv.max_safe_chroma_for_l = function(l)
local bounds = hsluv.get_bounds(l)
local min = 1.7976931348623157e+308
for i = 1, 6 do
local length = distance_line_from_origin(bounds[i])
if length >= 0 then
min = math.min(min, length)
end
end
return min
end
hsluv.max_safe_chroma_for_lh = function(l, h)
local hrad = h / 360 * math.pi * 2
local bounds = hsluv.get_bounds(l)
local min = 1.7976931348623157e+308
for i = 1, 6 do
local bound = bounds[i]
local length = length_of_ray_until_intersect(hrad, bound)
if length >= 0 then
min = math.min(min, length)
end
end
return min
end
hsluv.dot_product = function(a, b)
local sum = 0
for i = 1, 3 do
sum = sum + a[i] * b[i]
end
return sum
end
hsluv.from_linear = function(c)
if c <= 0.0031308 then
return 12.92 * c
else
return 1.055 * (c ^ 0.416666666666666685) - 0.055
end
end
hsluv.to_linear = function(c)
if c > 0.04045 then
return ((c + 0.055) / 1.055) ^ 2.4
else
return c / 12.92
end
end
hsluv.xyz_to_rgb = function(tuple)
return {
hsluv.from_linear(hsluv.dot_product(hsluv.m[1], tuple)),
hsluv.from_linear(hsluv.dot_product(hsluv.m[2], tuple)),
hsluv.from_linear(hsluv.dot_product(hsluv.m[3], tuple)),
}
end
hsluv.rgb_to_xyz = function(tuple)
local rgbl = { hsluv.to_linear(tuple[1]), hsluv.to_linear(tuple[2]), hsluv.to_linear(tuple[3]) }
return {
hsluv.dot_product(hsluv.minv[1], rgbl),
hsluv.dot_product(hsluv.minv[2], rgbl),
hsluv.dot_product(hsluv.minv[3], rgbl),
}
end
hsluv.y_to_l = function(Y)
if Y <= hsluv.epsilon then
return Y / hsluv.refY * hsluv.kappa
else
return 116 * ((Y / hsluv.refY) ^ 0.333333333333333315) - 16
end
end
hsluv.l_to_y = function(L)
if L <= 8 then
return hsluv.refY * L / hsluv.kappa
else
return hsluv.refY * (((L + 16) / 116) ^ 3)
end
end
hsluv.xyz_to_luv = function(tuple)
local X = tuple[1]
local Y = tuple[2]
local divider = X + 15 * Y + 3 * tuple[3]
local varU = 4 * X
local varV = 9 * Y
if divider ~= 0 then
varU = varU / divider
varV = varV / divider
else
varU = 0
varV = 0
end
local L = hsluv.y_to_l(Y)
if L == 0 then
return { 0, 0, 0 }
end
return { L, 13 * L * (varU - hsluv.refU), 13 * L * (varV - hsluv.refV) }
end
hsluv.luv_to_xyz = function(tuple)
local L = tuple[1]
local U = tuple[2]
local V = tuple[3]
if L == 0 then
return { 0, 0, 0 }
end
local varU = U / (13 * L) + hsluv.refU
local varV = V / (13 * L) + hsluv.refV
local Y = hsluv.l_to_y(L)
local X = 0 - (9 * Y * varU) / (((varU - 4) * varV) - varU * varV)
return { X, Y, (9 * Y - 15 * varV * Y - varV * X) / (3 * varV) }
end
hsluv.luv_to_lch = function(tuple)
local L = tuple[1]
local U = tuple[2]
local V = tuple[3]
local C = math.sqrt(U * U + V * V)
local H
if C < 0.00000001 then
H = 0
else
H = math.atan2(V, U) * 180.0 / 3.1415926535897932
if H < 0 then
H = 360 + H
end
end
return { L, C, H }
end
hsluv.lch_to_luv = function(tuple)
local L = tuple[1]
local C = tuple[2]
local Hrad = tuple[3] / 360.0 * 2 * math.pi
return { L, math.cos(Hrad) * C, math.sin(Hrad) * C }
end
hsluv.hsluv_to_lch = function(tuple)
local H = tuple[1]
local S = tuple[2]
local L = tuple[3]
if L > 99.9999999 then
return { 100, 0, H }
end
if L < 0.00000001 then
return { 0, 0, H }
end
return { L, hsluv.max_safe_chroma_for_lh(L, H) / 100 * S, H }
end
hsluv.lch_to_hsluv = function(tuple)
local L = tuple[1]
local C = tuple[2]
local H = tuple[3]
local max_chroma = hsluv.max_safe_chroma_for_lh(L, H)
if L > 99.9999999 then
return { H, 0, 100 }
end
if L < 0.00000001 then
return { H, 0, 0 }
end
return { H, C / max_chroma * 100, L }
end
hsluv.hpluv_to_lch = function(tuple)
local H = tuple[1]
local S = tuple[2]
local L = tuple[3]
if L > 99.9999999 then
return { 100, 0, H }
end
if L < 0.00000001 then
return { 0, 0, H }
end
return { L, hsluv.max_safe_chroma_for_l(L) / 100 * S, H }
end
hsluv.lch_to_hpluv = function(tuple)
local L = tuple[1]
local C = tuple[2]
local H = tuple[3]
if L > 99.9999999 then
return { H, 0, 100 }
end
if L < 0.00000001 then
return { H, 0, 0 }
end
return { H, C / hsluv.max_safe_chroma_for_l(L) * 100, L }
end
hsluv.rgb_to_hex = function(tuple)
local h = "#"
for i = 1, 3 do
local c = math.floor(tuple[i] * 255 + 0.5)
local digit2 = math.fmod(c, 16)
local x = (c - digit2) / 16
local digit1 = math.floor(x)
h = h .. string.sub(hexChars, digit1 + 1, digit1 + 1)
h = h .. string.sub(hexChars, digit2 + 1, digit2 + 1)
end
return h
end
hsluv.hex_to_rgb = function(hex)
hex = string.lower(hex)
local ret = {}
for i = 0, 2 do
local char1 = string.sub(hex, i * 2 + 2, i * 2 + 2)
local char2 = string.sub(hex, i * 2 + 3, i * 2 + 3)
local digit1 = string.find(hexChars, char1) - 1
local digit2 = string.find(hexChars, char2) - 1
ret[i + 1] = (digit1 * 16 + digit2) / 255.0
end
return ret
end
hsluv.lch_to_rgb = function(tuple)
return hsluv.xyz_to_rgb(hsluv.luv_to_xyz(hsluv.lch_to_luv(tuple)))
end
hsluv.rgb_to_lch = function(tuple)
return hsluv.luv_to_lch(hsluv.xyz_to_luv(hsluv.rgb_to_xyz(tuple)))
end
hsluv.hsluv_to_rgb = function(tuple)
return hsluv.lch_to_rgb(hsluv.hsluv_to_lch(tuple))
end
hsluv.rgb_to_hsluv = function(tuple)
return hsluv.lch_to_hsluv(hsluv.rgb_to_lch(tuple))
end
hsluv.hpluv_to_rgb = function(tuple)
return hsluv.lch_to_rgb(hsluv.hpluv_to_lch(tuple))
end
hsluv.rgb_to_hpluv = function(tuple)
return hsluv.lch_to_hpluv(hsluv.rgb_to_lch(tuple))
end
hsluv.hsluv_to_hex = function(tuple)
return hsluv.rgb_to_hex(hsluv.hsluv_to_rgb(tuple))
end
hsluv.hpluv_to_hex = function(tuple)
return hsluv.rgb_to_hex(hsluv.hpluv_to_rgb(tuple))
end
hsluv.hex_to_hsluv = function(s)
return hsluv.rgb_to_hsluv(hsluv.hex_to_rgb(s))
end
hsluv.hex_to_hpluv = function(s)
return hsluv.rgb_to_hpluv(hsluv.hex_to_rgb(s))
end
hsluv.m = {
{ 3.240969941904521, -1.537383177570093, -0.498610760293 },
{ -0.96924363628087, 1.87596750150772, 0.041555057407175 },
{ 0.055630079696993, -0.20397695888897, 1.056971514242878 },
}
hsluv.minv = {
{ 0.41239079926595, 0.35758433938387, 0.18048078840183 },
{ 0.21263900587151, 0.71516867876775, 0.072192315360733 },
{ 0.019330818715591, 0.11919477979462, 0.95053215224966 },
}
hsluv.refY = 1.0
hsluv.refU = 0.19783000664283
hsluv.refV = 0.46831999493879
hsluv.kappa = 903.2962962
hsluv.epsilon = 0.0088564516
return hsluv