/usr/lib/python2.7/dist-packages/woo/gts/__init__.py is in python-woo 1.0+dfsg1-2.
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1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 | # pygts - python package for the manipulation of triangulated surfaces
#
# Copyright (C) 2009 Thomas J. Duck
# All rights reserved.
#
# Thomas J. Duck <tom.duck@dal.ca>
# Department of Physics and Atmospheric Science,
# Dalhousie University, Halifax, Nova Scotia, Canada, B3H 3J5
#
# NOTICE
#
# This library is free software; you can redistribute it and/or
# modify it under the terms of the GNU Library General Public
# License as published by the Free Software Foundation; either
# version 2 of the License, or (at your option) any later version.
#
# This library is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
# Library General Public License for more details.
#
# You should have received a copy of the GNU Library General Public
# License along with this library; if not, write to the
# Free Software Foundation, Inc., 59 Temple Place - Suite 330,
# Boston, MA 02111-1307, USA.
"""A package for constructing and manipulating triangulated surfaces.
PyGTS is a python binding for the GNU Triangulated Surface (GTS)
Library, which may be used to build, manipulate, and perform
computations on triangulated surfaces.
The following geometric primitives are provided:
* Point - a point in 3D space
* Vertex - a Point in 3D space that may be used to define a Segment
* Segment - a line defined by two Vertex end-points
* Edge - a Segment that may be used to define the edge of a Triangle
* Triangle - a triangle defined by three Edges
* Face - a Triangle that may be used to define a face on a Surface
* Surface - a surface composed of Faces
A tetrahedron is assembled from these primitives as follows. First,
create Vertices for each of the tetrahedron's points::
import gts
v1 = gts.Vertex(1,1,1)
v2 = gts.Vertex(-1,-1,1)
v3 = gts.Vertex(-1,1,-1)
v4 = gts.Vertex(1,-1,-1)
Next, connect the four vertices to create six unique Edges::
e1 = gts.Edge(v1,v2)
e2 = gts.Edge(v2,v3)
e3 = gts.Edge(v3,v1)
e4 = gts.Edge(v1,v4)
e5 = gts.Edge(v4,v2)
e6 = gts.Edge(v4,v3)
The four triangular faces are composed using three edges each::
f1 = gts.Face(e1,e2,e3)
f2 = gts.Face(e1,e4,e5)
f3 = gts.Face(e2,e5,e6)
f4 = gts.Face(e3,e4,e6)
Finally, the surface is assembled from the faces::
s = gts.Surface()
for face in [f1,f2,f3,f4]:
s.add(face)
Some care must be taken in the orientation of the faces. In the above
example, the surface normals are pointing inward, and so the surface
technically defines a void, rather than a solid. To create a
tetrahedron with surface normals pointing outward, use the following
instead::
f1.revert()
s = Surface()
for face in [f1,f2,f3,f4]:
if not face.is_compatible(s):
face.revert()
s.add(face)
Once the Surface is constructed, there are many different operations that
can be performed. For example, the volume can be calculated using::
s.volume()
The difference between two Surfaces s1 and s2 is given by::
s3 = s2.difference(s1)
Etc.
It is also possible to read in GTS data files and plot surfaces to
the screen. See the example programs packaged with PyGTS for
more information.
"""
from pygts import *
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