-- File: tkz_elements_parallelogram.lua -- Copyright (c) 2023–2025 Alain Matthes -- SPDX-License-Identifier: LPPL-1.3c -- Maintainer: Alain Matthes --------------------------------------------------------------------------- -- Parallelogram --------------------------------------------------------------------------- parallelogram = {} parallelogram.__index = parallelogram function parallelogram:new(za, zb, zc, zd) local d local zi = midpoint_(za, zc) local zj = midpoint_(zb, zd) if point.abs(zj - zi) < tkz.epsilon then else tex.error("it's not a parallelogram") end local type = "parallelogram" local center = midpoint_(za, zc) local ab = line:new(za, zb) local bc = line:new(zb, zc) local cd = line:new(zc, zd) local da = line:new(zd, za) local ac = line:new(za, zc) local bd = line:new(zb, zd) local o = { pa = za, pb = zb, pc = zc, pd = zd, ab = ab, ac = ac, bc = bc, da = da, cd = cd, bd = bd, center = center, type = type, } setmetatable(o, self) return o end setmetatable(parallelogram, { __call = function(cls, ...) return cls:new(...) end, }) function parallelogram:get() return self.pa, self.pb, self.pc, self.pd end function parallelogram:fourth(za, zb, zc) local zd = zc + (za - zb) return parallelogram:new(za, zb, zc, zd) end return parallelogram