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-- tkz_elements_vectors.lua
-- date 2024/01/16
-- version 1.82c
-- Copyright 2024 Alain Matthes
-- This work may be distributed and/or modified under the
-- conditions of the LaTeX Project Public License, either version 1.3
-- of this license or (at your option) any later version.
-- The latest version of this license is in
-- http://www.latex-project.org/lppl.txt
-- and version 1.3 or later is part of all distributions of LaTeX
-- version 2005/12/01 or later.
-- This work has the LPPL maintenance status “maintained”.
-- The Current Maintainer of this work is Alain Matthes.
-- ----------------------------------------------------------------------------
vector = {}
function vector: new(z1, z2)
local type = 'vector'
local norm = point.abs (z2-z1)
local arg = point.arg (z2-z1)
local o = {st = z1,
ed = z2,
norm = norm,
arg = arg,
type = type }
setmetatable(o, self)
self.__index = self
return o
end
function vector: normalize ()
local z = self.ed-self.st
local d = point.abs(z)
local nz = point(z.re/d,z.im/d)
return nz + self.st
end
function vector: add (v)
return vector :new (self.st+v.st, self.ed,v.ed)
end
function vector: ortho ()
return vector : new (self.st, rotation_(self.st,math.pi/2,self.ed))
end
return vector
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