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<html>
<head>
<title>
TET_MESH_TET_NEIGHBORS - Tet Mesh Neighbors
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TET_MESH_TET_NEIGHBORS <br>
Interactive Program for <br>
Tet Mesh Neighbors
</h1>
<hr>
<p>
<b>TET_MESH_TET_NEIGHBORS</b>
is a C++ program which
reads information defining
a tet mesh of points in 3D, and determines, for each face of
each tetrahedron, the index of the neighboring tetrahedron that
shares that face.
</p>
<p>
The tet mesh is defined by a <i>node file</i> containing
the coordinates of nodes, and a <i>tetra file</i> containing
sets of 4 or 10 node indices. For this calculation, though,
only the tetra file is needed.
</p>
<p>
If a tetrahedron is on the boundary, then one or more of its
faces will not be shared by any tetrahedron. Such cases will
be indicated by specifying the corresponding neighbor value as -1.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>tet_mesh_tet_neighbors</b> <i>prefix</i>
</blockquote>
where <i>prefix</i> is the common file prefix:
<ul>
<li>
<i>prefix</i><b>_nodes.txt</b>, the node coordinates (not needed by this program);
</li>
<li>
<i>prefix</i><b>_elements.txt</b>, the element definitions.
</li>
<li>
<i>prefix</i><b>_element_neighbors.txt</b>, the element neighbors.
</li>
</ul>
</p>
<h3 align = "center">
Licensing:
</h3>
<p>
The computer code and data files described and made available on this web page
are distributed under
<a href = "../../txt/gnu_lgpl.txt">the GNU LGPL license.</a>
</p>
<h3 align = "center">
Languages:
</h3>
<p>
<b>TET_MESH_TET_NEIGHBORS</b> is available in
<a href = "../../cpp_src/tet_mesh_tet_neighbors/tet_mesh_tet_neighbors.html">a C++ version</a> and
<a href = "../../f_src/tet_mesh_tet_neighbors/tet_mesh_tet_neighbors.html">a FORTRAN90 version</a> and
<a href = "../../m_src/tet_mesh_tet_neighbors/tet_mesh_tet_neighbors.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Programs:
</h3>
<p>
<a href = "../../f_src/geompack/geompack.html">
GEOMPACK</a>,
a FORTRAN90 library which,
contains a routine
<b>DTRIS3</b> that can compute the tet mesh for a set of 3D points,
as well as the adjacency information.
</p>
<p>
<a href = "../../cpp_src/neighbors_to_metis_graph/neighbors_to_metis_graph.html">
NEIGHBORS_TO_METIS_GRAPH</a>,
a C++ program which
reads a tet mesh neighbor file created by <b>TET_MESH_TET_NEIGHBORS</b>
and writes a modified version of the same data suitable for input
to the mesh partitioning program METIS.
</p>
<p>
<a href = "../../f_src/table_tet_mesh/table_tet_mesh.html">
TABLE_TET_MESH</a>,
a FORTRAN90 program which
can compute the tet mesh for a set of 3D points.
</p>
<p>
<a href = "../../f_src/test_tet_mesh/test_tet_mesh.html">
TEST_TET_MESH</a>,
a FORTRAN90 library which
defines a few test regions for the generation
of a tet mesh.
</p>
<p>
<a href = "../../cpp_src/tet_mesh/tet_mesh.html">
TET_MESH</a>,
a C++ library which
is useful for work with tet meshes.
</p>
<p>
<a href = "../../cpp_src/tet_mesh_boundary/tet_mesh_boundary.html">
TET_MESH_BOUNDARY</a>,
a C++ program which
returns the nodes and faces of the boundary of a tetrahedral mesh,
which themselves form a 3D triangular mesh or "TRI_SURFACE".
</p>
<p>
<a href = "../../m_src/tet_mesh_display/tet_mesh_display.html">
TET_MESH_DISPLAY</a>,
a MATLAB program which
can read in the node and tetra files defining a tet mesh and display a wireframe
image.
</p>
<p>
<a href = "../../cpp_src/tet_mesh_display_opengl/tet_mesh_display_opengl.html">
TET_MESH_DISPLAY_OPENGL</a>,
a C++ program which
reads a tet mesh and displays the
nodes and edges using OpenGL.
</p>
<p>
<a href = "../../cpp_src/tet_mesh_l2q/tet_mesh_l2q.html">
TET_MESH_L2Q</a>,
a C++ program which
converts a linear to quadratic tet mesh.
</p>
<p>
<a href = "../../data/tet_mesh_order4/tet_mesh_order4.html">
TET_MESH_ORDER4</a>,
a directory which
contains a description and
examples of a tet mesh using order 4 elements.
</p>
<p>
<a href = "../../data/tet_mesh_order10/tet_mesh_order10.html">
TET_MESH_ORDER10</a>,
a directory which
contains a description and
examples of a tet mesh using order 10 elements.
</p>
<p>
<a href = "../../cpp_src/tet_mesh_q2l/tet_mesh_q2l.html">
TET_MESH_Q2L</a>,
a C++ program which
can convert a quadratic (10-node)
tet mesh to a linear (4-node)
tet mesh.
</p>
<p>
<a href = "../../cpp_src/tet_mesh_quality/tet_mesh_quality.html">
TET_MESH_QUALITY</a>,
a C++ program which
can compute the quality of a tet mesh.
</p>
<p>
<a href = "../../cpp_src/tet_mesh_rcm/tet_mesh_rcm.html">
TET_MESH_RCM</a>,
a C++ program which
takes a tet mesh and
relabels the nodes to reduce the bandwidth of the
corresponding adjacency matrix.
</p>
<p>
<a href = "../../cpp_src/tet_mesh_refine/tet_mesh_refine.html">
TET_MESH_REFINE</a>,
a C++ program which
can refine a tet mesh.
</p>
<p>
<a href = "../../data/tet_mesh_tet_neighbors/tet_mesh_tet_neighbors.html">
TET_MESH_TET_NEIGHBORS</a>,
a data directory which
contains a description
and examples of the format for storing information about neighboring
tetrahedrons in a tetrahedral mesh.
</p>
<p>
<a href = "../../cpp_src/tet_mesh_volumes/tet_mesh_volumes.html">
TET_MESH_VOLUMES</a>,
a C++ program which
computes the volume of each tetrahedron in a tet mesh;
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Herbert Edelsbrunner,<br>
Geometry and Topology for Mesh Generation,<br>
Cambridge, 2001,<br>
ISBN: 0-521-79309-2,<br>
LC: QA377.E36.
</li>
<li>
Barry Joe,<br>
GEOMPACK - a software package for the generation of meshes
using geometric algorithms,<br>
Advances in Engineering Software,<br>
Volume 13, 1991, pages 325-331.
</li>
<li>
Per-Olof Persson, Gilbert Strang,<br>
A Simple Mesh Generator in MATLAB,<br>
SIAM Review,<br>
Volume 46, Number 2, June 2004, pages 329-345.
</li>
</ol>
</p>
<h3 align = "center">
Source code
</h3>
<p>
<ul>
<li>
<a href = "tet_mesh_tet_neighbors.cpp">tet_mesh_tet_neighbors.cpp</a>,
the source code.
</li>
<li>
<a href = "tet_mesh_tet_neighbors.sh">tet_mesh_tet_neighbors.sh</a>,
commands to compile, link and load the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests
</h3>
<p>
<b>CUBE</b> is a simple example of 8 nodes in a cube.
Test files you may copy include:
<ul>
<li>
<a href = "cube_nodes.txt">cube_nodes.txt</a>,
the node file.
</li>
<li>
<a href = "cube_elements.txt">cube_elements.txt</a>,
the tetrahedron file.
</li>
<li>
<a href = "cube_element_neighbors.txt">cube_element_neighbors.txt</a>,
the neighbor information computed by the program.
</li>
<li>
<a href = "cube_output.txt">cube_output.txt</a>,
the printed output from the program.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for TET_MESH_TET_NEIGHBORS.
</li>
<li>
<b>CH_CAP</b> capitalizes a single character.
</li>
<li>
<b>CH_EQI</b> is true if two characters are equal, disregarding case.
</li>
<li>
<b>CH_TO_DIGIT</b> returns the integer value of a base 10 digit.
</li>
<li>
<b>FILE_COLUMN_COUNT</b> counts the number of columns in the first line of a file.
</li>
<li>
<b>FILE_NAME_EXT_GET</b> determines the "extension" of a file name.
</li>
<li>
<b>FILE_NAME_EXT_SWAP</b> replaces the current "extension" of a file name.
</li>
<li>
<b>FILE_ROW_COUNT</b> counts the number of row records in a file.
</li>
<li>
<b>I4_MAX</b> returns the maximum of two I4's.
</li>
<li>
<b>I4_MIN</b> returns the minimum of two I4's.
</li>
<li>
<b>I4COL_COMPARE</b> compares columns I and J of an I4COL.
</li>
<li>
<b>I4COL_SORT_A</b> ascending sorts the columns of an I4COL.
</li>
<li>
<b>I4COL_SWAP</b> swaps two columns of an I4COL.
</li>
<li>
<b>I4I4I4_SORT_A</b> ascending sorts a triple of I4's.
</li>
<li>
<b>I4MAT_TRANSPOSE_PRINT</b> prints an I4MAT, transposed.
</li>
<li>
<b>I4MAT_TRANSPOSE_PRINT_SOME</b> prints some of an I4MAT, transposed.
</li>
<li>
<b>ITABLE_DATA_READ</b> reads data from an ITABLE file.
</li>
<li>
<b>ITABLE_DATA_WRITE</b> writes data to an ITABLE file.
</li>
<li>
<b>ITABLE_HEADER_READ</b> reads the header from an ITABLE file.
</li>
<li>
<b>ITABLE_HEADER_WRITE</b> writes the header of an ITABLE file.
</li>
<li>
<b>ITABLE_WRITE</b> writes information to an ITABLE file.
</li>
<li>
<b>R8_EPSILON</b> returns the R8 roundoff unit.
</li>
<li>
<b>S_BLANK_DELETE</b> removes blanks from a string, left justifying the remainder.
</li>
<li>
<b>S_INDEX_LAST_C</b> returns a pointer to the last occurrence of a given character.
</li>
<li>
<b>S_LEN_TRIM</b> returns the length of a string to the last nonblank.
</li>
<li>
<b>S_TO_I4</b> reads an I4 from a string.
</li>
<li>
<b>S_TO_I4VEC</b> reads an I4VEC from a string.
</li>
<li>
<b>S_WORD_COUNT</b> counts the number of "words" in a string.
</li>
<li>
<b>SORT_HEAP_EXTERNAL</b> externally sorts a list of items into ascending order.
</li>
<li>
<b>TET_MESH_NEIGHBOR_TETS</b> determines tetrahedron neighbors.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
<li>
<b>TIMESTRING</b> returns the current YMDHMS date as a string.
</li>
</ul>
</p>
<p>
You can go up one level to <a href = "../cpp_src.html">
the C++ source codes</a>.
</p>
<hr>
<i>
Last revised on 17 January 2007.
</i>
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