Dear list,
Challanged by a very old TeX.SX question
https://tex.stackexchange.com/questions/180510
I wanted to calculate all the intersection points between two
characters. Therefore I ripped off the \showshape macro to load the
outlines from the font and convert them to MetaPost paths. Then I try
to find all intersections by cutting the path.
It somewhat works but for some reason, in the MWE below two intersection
points are missing. I also have the feeling that my implementation is
extremely inefficient. I would very much appreciate some hints by the
MetaPost experts!
Cheers, Henri
---
\startluacode
-- That's a simple reimplemetation of the showshape macro
function outlinepaths(character)
local fontid = font.current()
local shapedata = fonts.hashes.shapes[fontid] -- by index
local chardata = fonts.hashes.characters[fontid] -- by unicode
local shapeglyphs = shapedata.glyphs or { }
character = utf.byte(character)
local c = chardata[character]
if c then
if not c.index then
return {}
end
local glyph = shapeglyphs[c.index]
if glyph and (glyph.segments or glyph.sequence) then
local units = shapedata.units or 1000
local factor = 100/units
local paths = fonts.metapost.paths(glyph,factor)
return paths
end
end
end
\stopluacode
\def\mpdefineoutlines#1#2{\ctxlua{
local char = "\luaescapestring{#1}"
local outlines = outlinepaths("#2")
local len = \letterhash outlines
tex.print("path " .. char .. "[];")
tex.print(char .. "n := " .. len .. ";")
for i, path in ipairs(outlines) do
tex.print(char .. "[" .. i .. "] := " .. path .. ";")
end
}}
\starttext
\startMPpage
pair shift; shift := (1cm,-1cm);
numeric angle; angle := 5;
\mpdefineoutlines{B}{B}
\mpdefineoutlines{T}{T}
nofill B2;
nofill B3;
eofill B1 withcolor .5[blue,white];
fill T1 shifted (shift) rotated (angle) withcolor .5[red,white];
path r;
numeric n; n := 0;
for i = 1 upto Bn:
for j = 1 upto Tn:
r := B[i];
forever:
pair q;
r := r cutbefore (T[j] shifted (shift) rotated (angle));
exitif length cuttings = 0;
r := subpath(epsilon, length r) of r;
q = point 0 of r;
n := n + 1;
dotlabel.urt(textext("\tfx" & decimal n), q);
endfor;
endfor ;
endfor ;
\stopMPpage
\stoptext
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