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<html>
<head>
<title>
TRIPACK - Constrained Delaunay Triangulation
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TRIPACK <br> Constrained Delaunay Triangulation
</h1>
<hr>
<p>
<b>TRIPACK</b>
is a FORTRAN90 library which
computes the Delaunay triangulation of a set of points in the plane.
</p>
<p>
<b>TRIPACK</b> has the unusual option of allowing the user to
specify constraint curves to be included in the triangulation.
</p>
<p>
<b>TRIPACK</b> is primarily a FORTRAN90 "translation" of the
original FORTRAN77 program written by Robert Renka, and
published in the ACM Transactions on Mathematical Software.
</p>
<p>
<b>TRIPACK</b> is ACM TOMS algorithm 751. The text of the
original FORTRAN77 program is available online
through ACM:
<a href = "http://www.acm.org/pubs/calgo/">
http://www.acm.org/pubs/calgo</a>
or NETLIB:
<a href = "http://www.netlib.org/toms/index.html">
http://www.netlib.org/toms/index.html</a>.
</p>
<p>
Specifically, the directory
<a href = "http://www.netlib.org/toms/751">
http://www.netlib.org/toms/751</a>
contains the original, true, correct version of ACM TOMS Algorithm 751.
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>TRIPACK</b> is available in
<a href = "../../f77_src/tripack/tripack.html">a FORTRAN77 version</a> and
<a href = "../../f_src/tripack/tripack.html">a FORTRAN90 version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/delaunay_lmap_2d/delaunay_lmap_2d.html">
DELAUNAY_LMAP_2D</a>,
a FORTRAN90 program which
computes the Delaunay triangulation of points in the plane subject to a linear mapping.
</p>
<p>
<a href = "../../f_src/geompack/geompack.html">
GEOMPACK</a>,
a FORTRAN90 library which
can compute Delaunay triangulations Voronoi diagrams and other information,
written by Barry Joe.
</p>
<p>
<a href = "../../f_src/stripack/stripack.html">
STRIPACK</a>,
a FORTRAN90 library which
computes the Delaunay triangulation or Voronoi diagram of points on a sphere.
</p>
<p>
<a href = "../../f_src/table_delaunay/table_delaunay.html">
TABLE_DELAUNAY</a>,
a FORTRAN90 program which
reads a file of point coordinates in the TABLE format and writes out
the Delaunay triangulation.
</p>
<p>
<a href = "../../f_src/triangulation/triangulation.html">
TRIANGULATION</a>,
a FORTRAN90 library which
performs various operations on order 3 ("linear") or order 6 ("quadratic") triangulations.
</p>
<p>
<a href = "../../f_src/triangulation_plot/triangulation_plot.html">
TRIANGULATION_PLOT</a>,
a FORTRAN90 program which
makes a PostScript image of a triangulation of points.
</p>
<p>
<a href = "../../f_src/triangulation_triangle_neighbors/triangulation_triangle_neighbors.html">
TRIANGULATION_TRIANGLE_NEIGHBORS</a>,
a FORTRAN90 program which
reads data defining a triangulation, determines the neighboring
triangles of each triangle, and writes that information to a file.
</p>
<h3 align = "center">
Author:
</h3>
<p>
Robert Renka
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Franz Aurenhammer,<br>
Voronoi diagrams -
a study of a fundamental geometric data structure,<br>
ACM Computing Surveys,<br>
Volume 23, pages 345-405, September 1991.
</li>
<li>
Robert Renka,<br>
Algorithm 751:
TRIPACK, A Constrained Two-Dimensional Delaunay Triangulation
Package,<br>
ACM Transactions on Mathematical Software,<br>
Volume 22, Number 1, 1996.
</li>
<li>
Brian Wichmann, David Hill,<br>
An Efficient and Portable Pseudo-random Number Generator,<br>
Applied Statistics,<br>
Volume 31, Number 2, 1982, pages 188-190.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "tripack.f90">tripack.f90</a>, the source code.
</li>
<li>
<a href = "tripack.sh">tripack.sh</a>, commands to
compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "tripack_prb.f90">tripack_prb.f90</a>, a sample problem.
</li>
<li>
<a href = "tripack_prb.sh">tripack_prb.sh</a>, commands
to compile, link and run the sample problem.
</li>
<li>
<a href = "tripack_prb_output.txt">tripack_prb_output.txt</a>, sample problem
output.
</li>
<li>
<a href = "tripack_prb.png">tripack_prb.png</a>,
a <a href = "../../data/png/png.html">PNG</a>
image of the triangulation.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>ADDCST</b> adds constraint curves to a Delaunay triangulation.
</li>
<li>
<b>ADDNOD</b> adds a node to a triangulation.
</li>
<li>
<b>AREAP</b> computes the signed area of a polygonal curve.
</li>
<li>
<b>BDYADD</b> adds a boundary node to a triangulation.
</li>
<li>
<b>BNODES</b> returns a list of the boundary nodes.
</li>
<li>
<b>CIRCUM</b> determines the circumcenter (and more) of a triangle.
</li>
<li>
<b>CRTRI</b> determines if a triangle lies in a constraint region.
</li>
<li>
<b>DELARC</b> deletes a boundary arc from a triangulation.
</li>
<li>
<b>DELNB</b> deletes a neighbor from an adjacency list.
</li>
<li>
<b>DELNOD</b> deletes a node from a triangulation.
</li>
<li>
<b>EDGE</b> swaps arcs to force two nodes to be adjacent.
</li>
<li>
<b>GETNP</b> sets the next nearest node to a given node.
</li>
<li>
<b>INDXCC</b> returns the index of an exterior constraint curve.
</li>
<li>
<b>INSERT</b> inserts K as a neighbor of N1.
</li>
<li>
<b>INTADD</b> adds an interior point to a triangulation.
</li>
<li>
<b>INTSEC</b> determines if two line segments intersect.
</li>
<li>
<b>JRAND</b> returns a uniformly distributed random integer between 1 and N.
</li>
<li>
<b>LEFT</b> determines whether a node is to the left of a line.
</li>
<li>
<b>LSTPTR</b> returns the index of NB in the adjacency list for N0.
</li>
<li>
<b>NBCNT</b> returns the number of neighbors of a node.
</li>
<li>
<b>NEARND</b> finds the nearest triangulation node to a point.
</li>
<li>
<b>OPTIM</b> optimizes the quadrilateral portion of a triangulation.
</li>
<li>
<b>STORE</b> forces its argument to be stored.
</li>
<li>
<b>SWAP</b> adjusts a triangulation by swapping a diagonal arc.
</li>
<li>
<b>SWPTST</b> applies the circumcircle test to a quadrilateral.
</li>
<li>
<b>TRFIND</b> locates a point relative to a triangulation.
</li>
<li>
<b>TRLIST</b> converts a triangulation to triangle list form.
</li>
<li>
<b>TRLPRT</b> prints the triangles in a triangulation.
</li>
<li>
<b>TRMESH</b> triangulates a set of points in the plane.
</li>
<li>
<b>TRMSHR</b> triangulates logically rectangular data.
</li>
<li>
<b>TRMTST</b> tests a data structure representing a Delaunay triangulation.
</li>
<li>
<b>TRPLOT</b> plots a triangulation in an EPS file.
</li>
<li>
<b>TRPRNT</b> prints information about a planar triangulation.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 15 December 2005.
</i>
</body>
</html>