## Ruby bindings for Constrained Delaunay Triangulation of CGAL library (2D)

(Only english text now, sorry.)

For some areas of geometrical data processing, like topological routing, it
is necessary to generate triangulations of a set of vertices. One popular
triangulation is the Constrained Delaunay Triangulation (CDT), see
wikipedia.org/wiki/Delaunay_triangulation.
Generation is not trivial -- the gts and CGAL library supports this type of triangulation,
including dynamic insertion and removing of vertices and constraints. I started with
the gts library. As it is written in C, it was not difficult writing bindings for Ruby.
But there seems to be not much activity on the gts mailing list, and I was not able
to fully understand its documentation.

So I started investigating the large CGAL C++ library. Indeed it was not difficult to write
some basic bindings for Ruby. Actually the CGAL bindings needed less lines of code, and
calling it from Ruby is simpler.

I have defined two data types, CGAL::CDT and CGAL::Vertex. t = CGAL::CDT.new
creates an empty triangulation, and v = CGAL::Vertex.new(x, y) creates Vertices
with coordinates x, y, which we can insert into the triangulation. You can extend
your vertices as you do with other Ruby classes, v.x and v.y can be used to read
the coordinates. Currently we have these methods defined:

t.each{|el| puts el.whatever}
t.insert(vertex)
t.insert_constraint(vertex1, vertex2)
t.neighbor_vertices(v) # returns array of all neighbour vertices of v
t.to_a # returns array of all vertices
# Installation (for Linux)
# You need a C compiler, installed CGAL library and Ruby interpreter (tested with 1.9.3)
cd RCGAL
ruby extconf.rb
make
# ruby test.rb
require_relative "rcgal_cdt"
t = CGAL::CDT.new
v1 = CGAL::Vertex.new(0, 0)
v2 = CGAL::Vertex.new(0, 10)
v3 = CGAL::Vertex.new(10, 0)
v4 = CGAL::Vertex.new(10, 10)
t.insert(v1)
t.insert(v2)
t.insert(v3)
t.insert(v4)
t.insert_constraint(v1, v4)
t.each{|el| print el.x, ", ", el.y, "\n"}
t.each{|el|
puts t.neighbor_vertices(el)
puts
}
puts (t.methods - Object.methods).sort

Please note that this is the initial release of these bindings, I have not done
much testings. I am using it for my PCB topological router project, it seems to
work fine. Adding more methods should be not too difficult -- maybe someone can
manage to generate full bindings for Ruby using SWIG?