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triangulation_node_to_element.html
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<html>
<head>
<title>
TRIANGULATION_NODE_TO_ELEMENT - Average Node Data to Create Element Data
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TRIANGULATION_NODE_TO_ELEMENT <br> Average Node Data to Create Element Data
</h1>
<hr>
<p>
<b>TRIANGULATION_NODE_TO_ELEMENT</b>
is a C++ program which
reads datafiles describing a set of nodes, their triangulation, and the
value of one or more quantities at each node, and outputs a file
that averages the quantities for each element. This operation
in effect creates an "order1" finite element model of the data.
</p>
<p>
The program reads three data files:
<ul>
<li>
a node file, containing
X, Y coordinates of points;
</li>
<li>
an element file,
containing a list of sets of three points making up each
triangular element; (if this file does not exist, the
program will generate the element data automatically).
</li>
<li>
a node values file,
containing the values of one or more data items
at each node.
</li>
</ul>
and creates
<ul>
<li>
an element values file,
containing the values of the data, averaged over
the nodes in each element.
</li>
</ul>
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>triangulation_node_to_element</b> <i>prefix</i>
</blockquote>
where
<ul>
<li>
<i>prefix</i>_nodes.txt, lists the node coordinates;
</li>
<li>
<i>prefix</i>_elements.txt lists the indices of nodes that form elements
(this file is optional, and if not supplied, the information will
be generated internally);
</li>
<li>
<i>prefix</i>_values.txt contains the value assigned to each node.
</li>
<li>
<i>prefix</i>_element_values.txt will contain the values averaged
over the nodes in each element.
</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>TRIANGULATION_NODE_TO_ELEMENT</b> is available in
<a href = "../../c_src/triangulation_node_to_element/triangulation_node_to_element.html">a C version</a> and
<a href = "../../cpp_src/triangulation_node_to_element/triangulation_node_to_element.html">a C++ version</a> and
<a href = "../../f77_src/triangulation_node_to_element/triangulation_node_to_element.html">a FORTRAN77 version</a> and
<a href = "../../f_src/triangulation_node_to_element/triangulation_node_to_element.html">a FORTRAN90 version</a> and
<a href = "../../m_src/triangulation_node_to_element/triangulation_node_to_element.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/triangulation/triangulation.html">
TRIANGULATION</a>,
a C++ library which
carries out various operations on order 3 ("linear") or order 6
("quadratic") triangulations.
</p>
<p>
<a href = "../../cpp_src/triangulation_l2q/triangulation_l2q.html">
TRIANGULATION_L2Q</a>,
a C++ program which
reads information about a 3-node (linear) triangulation and creates data
defining a corresponding 6-node (quadratic) triangulation;
</p>
<p>
<a href = "../../cpp_src/triangulation_q2l/triangulation_q2l.html">
TRIANGULATION_Q2L</a>,
a C++ program which
reads information about a 6-node (quadratic) triangulation
and creates data defining a corresponding 3-node (linear) triangulation;
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "triangulation_node_to_element.cpp">triangulation_node_to_element.cpp</a>, the source code.
</li>
<li>
<a href = "triangulation_node_to_element.sh">triangulation_node_to_element.sh</a>,
BASH commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "lake_nodes.txt">lake_nodes.txt</a>,
the node coordinate file.
</li>
<li>
<a href = "lake_elements.txt">lake_elements.txt</a>,
the element file.
</li>
<li>
<a href = "lake_values.txt">lake_values.txt</a>,
the node values file.
</li>
<li>
<a href = "lake_element_values.txt">lake_element_values.txt</a>,
the element_values file created by the program.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for TRIANGULATION_NODE_TO_ELEMENT.
</li>
<li>
<b>CH_CAP</b> capitalizes a single character.
</li>
<li>
<b>CH_EQI</b> is a case insensitive comparison of two characters for equality.
</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_ROW_COUNT</b> counts the number of row records in a file.
</li>
<li>
<b>I4MAT_DATA_READ</b> reads data from an I4MAT file.
</li>
<li>
<b>I4MAT_HEADER_READ</b> reads the header from an I4MAT.
</li>
<li>
<b>I4MAT_TRANSPOSE_PRINT_SOME</b> prints some of the transpose of an I4MAT.
</li>
<li>
<b>I4MAT_WRITE</b> writes an I4MAT file.
</li>
<li>
<b>MESH_BASE_ONE</b> ensures that the element definition is one-based.
</li>
<li>
<b>R8MAT_DATA_READ</b> reads data from an R8MAT file.
</li>
<li>
<b>R8MAT_HEADER_READ</b> reads the header from an R8MAT file.
</li>
<li>
<b>R8MAT_TRANSPOSE_PRINT_SOME</b> prints some of an R8MAT, transposed.
</li>
<li>
<b>R8MAT_WRITE</b> writes an R8MAT file.
</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_TO_R8</b> reads an R8 from a string.
</li>
<li>
<b>S_TO_R8VEC</b> reads an R8VEC from a string.
</li>
<li>
<b>S_WORD_COUNT</b> counts the number of "words" in a string.
</li>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</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 09 April 2014.
</i>
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