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<html>
<head>
<title>
FEM2D_MESH_DISPLAY_OPENGL - Display a Polygonal Mesh Using OpenGL
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
FEM2D_MESH_DISPLAY_OPENGL<br> Display a Polygonal Mesh Using OpenGL
</h1>
<hr>
<p>
<b>FEM2D_MESH_DISPLAY_OPENGL</b>
is a C++ program which
reads the name of two data files
defining a polygonal mesh, reads the data,
and displays the mesh using OPENGL.
</p>
<p>
The files defining the mesh consist of one file containing
the coordinates of the points, and a second file that lists the
indices of the nodes making up each element. All the elements
in the mesh must have the same order, that is, the number of vertices.
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>fem2d_mesh_display_opengl</b> <i>prefix</i>
</blockquote>
where <i>prefix</i> is the common filename prefix:
<ul>
<li>
<i>prefix</i><b>_nodes.txt</b>, the node coordinates;
</li>
<li>
<i>prefix</i><b>_elements.txt</b>, the element definitions.
</li>
</ul>
reads the node data from <i>nodes.txt</i>, the element data
from <i>elements.txt</i> and displays a plot of the mesh.
</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>FEM2D_MESH_DISPLAY_OPENGL</b> is available in
<a href = "../../cpp_src/fem2d_mesh_display_opengl/fem2d_mesh_display_opengl.html">a C++ version</a> and
<a href = "../../m_src/fem2d_mesh_display/fem2d_mesh_display.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/caustic_opengl/caustic_opengl.html">
CAUSTIC_OPENGL</a>,
a C++ program which
computes a caustic curve and displays it using OpenGL.
</p>
<p>
<a href = "../../m_src/fem_basis_t3_display/fem_basis_t3_display.html">
FEM_BASIS_T3_DISPLAY</a>,
a MATLAB program which
displays a basis function associated with a linear triangle ("T3") mesh.
</p>
<p>
<a href = "../../m_src/fem_basis_t6_display/fem_basis_t6_display.html">
FEM_BASIS_T6_DISPLAY</a>,
a MATLAB program which
reads a quadratic triangle mesh and displays any associated basis function.
</p>
<p>
<a href = "../../cpp_src/fern_opengl/fern_opengl.html">
FERN_OPENGL</a>,
a C++ program which
uses OpenGL to display the Barnsley fractal fern.
</p>
<p>
<a href = "../../c_src/flood_opengl/flood_opengl.html">
FLOOD_OPENGL</a>,
a C program which
allows a user to select a region and flood it with color,
using OpenGL, by Art Wetzel.
</p>
<p>
<a href = "../../c_src/life_opengl/life_opengl.html">
LIFE_OPENGL</a>,
a C program which
simulates a version of John Conway's "Game of Life", displaying the
results using OpenGL.
</p>
<p>
<a href = "../../cpp_src/lights_out_opengl/lights_out_opengl.html">
LIGHTS_OUT_OPENGL</a>,
a C++ program which
sets up a "Lights Out" game and allows the user to solve it,
using the OpenGL graphics window.
</p>
<p>
<a href = "../../cpp_src/lissajous_opengl/lissajous_opengl.html">
LISSAJOUS_OPENGL</a>,
a C++ program which
computes a Lissajous figure and displays it using OpenGL.
</p>
<p>
<a href = "../../cpp_src/opengl/opengl.html">
OPENGL</a>,
C++ programs which
illustrate the use of the OpenGL graphics library;
</p>
<p>
<a href = "../../cpp_src/polygonal_surface_display_opengl/polygonal_surface_display_opengl.html">
POLYGONAL_SURFACE_DISPLAY_OPENGL</a>,
a C++ program which
displays a surface in 3D described as a set of polygons, using OpenGL.
</p>
<p>
<a href = "../../cpp_src/rotating_cube_display_opengl/rotating_cube_display_opengl.html">
ROTATING_CUBE_DISPLAY_OPENGL</a>,
a C++ program which
displays a rotating color cube in 3D, using OpenGL;
</p>
<p>
<a href = "../../cpp_src/sphere_xyz_display_opengl/sphere_xyz_display_opengl.html">
SPHERE_XYZ_DISPLAY_OPENGL</a>,
a C++ program which
reads XYZ information defining points in 3D,
and displays a unit sphere and the points, using OpenGL.
</p>
<p>
<a href = "../../cpp_src/table_delaunay/table_delaunay.html">
TABLE_DELAUNAY</a>,
a C++ program which
computes the Delaunay triangulation of a set of points.
</p>
<p>
<a href = "../../cpp_src/table_io/table_io.html">
TABLE_IO</a>,
a C++ library which
supplies the routines used to read the TABLE file.
</p>
<p>
<a href = "../../cpp_src/table_voronoi/table_voronoi.html">
TABLE_VORONOI</a>,
a C++ program which
computes information about the Voronoi diagram of the points.
</p>
<p>
<a href = "../../cpp_src/tri_surface_display_opengl/tri_surface_display_opengl.html">
TRI_SURFACE_DISPLAY_OPENGL</a>,
a C++ program which
displays the 3D graphics information in a TRI_SURFACE file using OpenGL.
</p>
<p>
<a href = "../../cpp_src/triangulation_display_opengl/triangulation_display_opengl.html">
TRIANGULATION_DISPLAY_OPENGL</a>,
a C++ program which
reads data defining a triangulation and creates an image using OpenGL.
</p>
<p>
<a href = "../../cpp_src/triangulation_mask/triangulation_mask.html">
TRIANGULATION_MASK</a>,
a C++ program which
takes an existing triangulation and deletes triangles and
their corresponding nodes as requested by the user.
</p>
<p>
<a href = "../../data/triangulation_order3/triangulation_order3.html">
TRIANGULATION_ORDER3</a>,
a directory which
contains a description and
examples of order 3 triangulations.
</p>
<p>
<a href = "../../data/triangulation_order6/triangulation_order6.html">
TRIANGULATION_ORDER6</a>,
a directory which
contains a description and
examples of order 6 triangulations.
</p>
<p>
<a href = "../../cpp_src/triangulation_plot/triangulation_plot.html">
TRIANGULATION_PLOT</a>,
a C++ program which
reads data defining a triangulation and creates a
PostScript image of the nodes and triangles.
</p>
<p>
<a href = "../../cpp_src/xy_display_opengl/xy_display_opengl.html">
XY_DISPLAY_OPENGL</a>,
is a C++ program which
reads an XY file of 2D point coordinates, and displays
an image of those points using OpenGL.
</p>
<p>
<a href = "../../cpp_src/xyl_display_opengl/xyl_display_opengl.html">
XYL_DISPLAY_OPENGL</a>,
a C++ program which
reads XYL information defining points and lines in 2D, and displays
an image using OpenGL.
</p>
<p>
<a href = "../../cpp_src/xyz_display_opengl/xyz_display_opengl.html">
XYZ_DISPLAY_OPENGL</a>,
a C++ program which
reads an XYZ file of 3D point coordinates, and displays
an image of those points using OpenGL.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Edward Angel,<br>
Interactive Computer Graphics,<br>
A Top-Down Approach with OpenGL,<br>
Addison-Wesley, 2000,<br>
LC: T385.A514.
</li>
<li>
Renate Kempf, Chris Frazier, editors,<br>
OpenGL Reference Manual,<br>
Addison-Wesley, 1997,<br>
LC: T385.O642.
</li>
<li>
Mason Woo, Jackie Neider, Tom Davis,<br>
OpenGL Programming Guide,<br>
Addison-Wesley, 1997,<br>
LC: T385.N435.
</li>
<li>
Richard Wright, Michael Sweet,<br>
OpenGL Superbible,<br>
Waite Group Press, 1996,<br>
LC: T385.W73.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "fem2d_mesh_display_opengl.cpp">
fem2d_mesh_display_opengl.cpp</a>, the source code.
</li>
<li>
<a href = "fem2d_mesh_display_opengl.sh">
fem2d_mesh_display_opengl.sh</a>,
commands to compile the source code.
</li>
<li>
<a href = "fem2d_mesh_display_opengl_OSX.sh">
fem2d_mesh_display_opengl_OSX.sh</a>,
commands to compile the source code on an OSX system,
which just has to be different.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<b>ELL</b> is an L-shaped region covered by triangles.
<ul>
<li>
<a href = "ell_nodes.txt">
ell_nodes.txt</a>, the node coordinates.
</li>
<li>
<a href = "ell_elements.txt">
ell_elements.txt</a>, the nodes that form each element.
</li>
<li>
<a href = "ell.png">
ell.png</a>,
a PNG image of the mesh.
</li>
</ul>
</p>
<p>
<b>RECT</b> is a rectangular region covered by quadrilaterals.
<ul>
<li>
<a href = "rect_nodes.txt">
rect_nodes.txt</a>, the node coordinates.
</li>
<li>
<a href = "rect_elements.txt">
rect_elements.txt</a>, the nodes that form each element.
</li>
<li>
<a href = "rect.png">
rect.png</a>,
a PNG image of the mesh.
</li>
</ul>
</p>
<p>
<b>Q4</b> is a rectangular region covered by quadrilaterals, with a hole.
<ul>
<li>
<a href = "q4_nodes.txt">
q4_nodes.txt</a>, the node coordinates.
</li>
<li>
<a href = "q4_elements.txt">
q4_elements.txt</a>, the nodes that form each element.
</li>
<li>
<a href = "q4.png">
q4.png</a>,
a PNG image of the mesh.
</li>
</ul>
</p>
<p>
<b>HEX</b> is a mesh of hexagons.
<ul>
<li>
<a href = "hex_nodes.txt">
hex_nodes.txt</a>, the node coordinates.
</li>
<li>
<a href = "hex_elements.txt">
hex_elements.txt</a>, the nodes that form each element.
</li>
<li>
<a href = "hex.png">
hex.png</a>,
a PNG mage of the mesh.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for FEM2D_MESH_DISPLAY_OPENGL.
</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>DISPLAY</b> generates the graphics output.
</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>I4_MAX</b> returns the maximum of two I4's.
</li>
<li>
<b>I4_MIN</b> returns the smaller of two I4's.
</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 file.
</li>
<li>
<b>MESH_BASE_ZERO</b> ensures that the element definition is zero-based.
</li>
<li>
<b>MYINIT</b> initializes OpenGL state variables dealing with viewing and attributes.
</li>
<li>
<b>R8_MAX</b> returns the maximum of two R8's.
</li>
<li>
<b>R82VEC_MAX</b> returns the maximum value in a R82VEC.
</li>
<li>
<b>R82VEC_MIN</b> returns the minimum value in a R82VEC.
</li>
<li>
<b>R8MAT_DATA_READ</b> reads the data from an R8MAT file.
</li>
<li>
<b>R8MAT_HEADER_READ</b> reads the header from an R8MAT file.
</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_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 13 October 2014.
</i>
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