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--
-- This is file `placeat.lua',
-- generated with the docstrip utility.
--
-- The original source files were:
--
-- placeat.dtx (with options: `lua')
--
-- EXPERIMENTAL CODE
--
-- This package is copyright © 2017 Arno L. Trautmann. It may be distributed and/or
-- modified under the conditions of the LaTeX Project Public License, either version 1.3c
-- of this license or (at your option) any later version. This work has the LPPL mainten-
-- ance status ‘maintained’.
function pdf_print (...)
for _, str in ipairs({...}) do
pdf.print(str .. " ")
end
pdf.print("\n")
end
function move (p1,p2)
if (p2) then
pdf_print(p1,p2,"m")
else
pdf_print(p1[1],p1[2],"m")
end
end
function line(p1,p2)
pdf_print(p1,p2,"l")
end
function curve(p11,p12,p21,p22,p31,p32)
if (p22) then
p1,p2,p3 = {p11,p12},{p21,p22},{p31,p32}
else
p1,p2,p3 = p11,p12,p21
end
pdf_print(p1[1], p1[2],
p2[1], p2[2],
p3[1], p3[2], "c")
end
function linewidth(w)
pdf_print(w,"w")
end
function fill()
pdf_print("f")
end
function stroke()
pdf_print("S")
end
-- welp, let's have some fun!
-- with the function radd, a random coordinate change is added if used
-- randfact will adjust the amount of randomization
-- everything is relative in the grid size
-- BUT: In fact, do we really want to have wiggly lines? …
local randfact = 100
local radd = function()
return (math.random()-0.5)*randfact
end
function placelineat(x1,y1,x2,y2)
xfac = tex.pagewidth/gridnrx/65536 -- factors to convert given number to absolute coordinates
yfac = tex.pageheight/gridnry/65536 -- should both be global!
xar = (x2-x1)*xfac -- end point of the arrow
yar = (y1-y2)*yfac --
move(0,0) -- start
line(xar,yar) -- draw main line
stroke()
end
function placearrowat(x1,y1,x2,y2)
xfac = tex.pagewidth/gridnrx/65536 -- factors to convert given number to absolute coordinates
yfac = tex.pageheight/gridnry/65536 -- should both be global!
xar = (x2-x1)*xfac -- end point of the arrow
yar = (y1-y2)*yfac --
parx = xar/math.sqrt(xar^2+yar^2) -- direction of the arrow
pary = yar/math.sqrt(xar^2+yar^2) --
perpx = -pary -- perp of the arrow direction
perpy = parx --
move(0,0) -- start
line(xar,yar) -- draw main line
move(xar,yar)
line(xar-arrowheadlength*parx+arrowheadlength*perpx,yar-arrowheadlength*pary+arrowheadlength*perpy) -- draw arrowhead
move(xar,yar)
line(xar-arrowheadlength*parx-arrowheadlength*perpx,yar-arrowheadlength*pary-arrowheadlength*perpy)
stroke()
end
-- better circle-approximation by using quarter circles, according to wikipedia article about Bézier curves
-- k = 1 gives a circle, everything else something else …
function placecircleat(r,k,filled)
local P0,P1,P2,P3
r = r * 59.5 -- next arbitrary scale factor; the circle has radius "1" in x-units
local rk = 0.55228*r*k
P0 = {r,0}
move (P0[1],P0[2])
P1 = {r,rk} P2 = {rk,r} P3 = {0,r}
curve (P1,P2,P3)
P1 = {-rk,r} P2 = {-r,rk} P3 = {-r,0}
curve (P1,P2,P3)
P1 = {-r,-rk} P2 = {-rk,-r} P3 = {0,-r}
curve (P1,P2,P3)
P1 = {rk,-r} P2 = {r,-rk} P3 = {r,0}
curve (P1,P2,P3)
if filled then
fill()
end
stroke()
end
function placesquareat(length)
move (-length,-length)
line ( length,-length)
line ( length, length)
line (-length, length)
line (-length,-length)
stroke()
end
function placecurveat(x1,y1,x2,y2,x3,y3,x4,y4) -- start point and three numbers. Start is only offset.
xfac = tex.pagewidth/gridnrx/65536 -- factors to convert given number to absolute coordinates
yfac = tex.pageheight/gridnry/65536 -- should both be global!
x2 = (x2-x1)*xfac
y2 = (y2-y1)*yfac
x3 = (x3-x1)*xfac
y3 = (y3-y1)*yfac
x4 = (x4-x1)*xfac
y4 = (y4-y1)*yfac
move(0,0) -- start
curve(x2,-y2,x3,-y3,x4,-y4) -- coordinates for Bezier curve
stroke()
end
function placerectangleat(x1,y1,x2,y2,filled)
xfac = tex.pagewidth/gridnrx/65536
yfac = tex.pageheight/gridnry/65536
x2 = (x2-x1)*xfac
y2 = (y1-y2)*yfac
move(0,0)
line(x2,0)
line(x2,y2)
line(0,y2)
line(0,0)
if filled then
fill()
end
stroke()
end
--
-- End of File `placeat.lua'.
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