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triangle_grid.html
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<html>
<head>
<title>
TRIANGLE_GRID - Triangular Grid of Points
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TRIANGLE_GRID <br> Triangular Grid of Points
</h1>
<hr>
<p>
<b>TRIANGLE_GRID</b>
is a FORTRAN90 library which
generates a triangular grid of points.
</p>
<p>
Starting with any 3 points A, B, and C that define a triangle,
we can divide each side of the triangle into N subintervals,
and create a triangular grid. This defines ((N+1)*(N+2))/2
points that lie on the intersections of grid lines. The
arrangement is suggested by this diagram:
<pre>
X
9 X
8 9 X
7 8 9 X
6 7 8 9 X
5 6 7 8 9 X
4 5 6 7 8 9 X
3 4 5 6 7 8 9 X
2 3 4 5 6 7 8 9 X
1 2 3 4 5 6 7 8 9 X
0 1 2 3 4 5 6 7 8 9 X
</pre>
</p>
<p>
The library includes a routine which allows the user to pick an
arbitrary triangle and an arbitrary number of subdivisions. It
then returns the triangular gridpoints defined by that choice.
</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>TRIANGLE_GRID</b> is available in
<a href = "../../c_src/triangle_grid/triangle_grid.html">a C version</a> and
<a href = "../../cpp_src/triangle_grid/triangle_grid.html">a C++ version</a> and
<a href = "../../f77_src/triangle_grid/triangle_grid.html">a FORTRAN77 version</a> and
<a href = "../../f_src/triangle_grid/triangle_grid.html">a FORTRAN90 version</a> and
<a href = "../../m_src/triangle_grid/triangle_grid.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/ball_grid/ball_grid.html">
BALL_GRID</a>,
a FORTRAN90 library which
computes grid points that lie inside a 3D ball.
</p>
<p>
<a href = "../../f_src/circle_arc_grid/circle_arc_grid.html">
CIRCLE_ARC_GRID</a>,
a FORTRAN90 program which
computes points equally spaced along a circular arc;
</p>
<p>
<a href = "../../f_src/circle_grid/circle_grid.html">
CIRCLE_GRID</a>,
a FORTRAN90 library which
computes a grid of points inside a circle.
</p>
<p>
<a href = "../../f_src/ellipse_grid/ellipse_grid.html">
ELLIPSE_GRID</a>,
a FORTRAN90 library which
computes grid points that lie inside an ellipse.
</p>
<p>
<a href = "../../f_src/ellipsoid_grid/ellipsoid_grid.html">
ELLIPSOID_GRID</a>,
a FORTRAN90 library which
computes grid points that lie inside a 3D ellipsoid.
</p>
<p>
<a href = "../../f_src/tetrahedron_grid/tetrahedron_grid.html">
TETRAHEDRON_GRID</a>,
a FORTRAN90 library which
computes a tetrahedral grid of points.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "triangle_grid.f90">triangle_grid.f90</a>, the source code.
</li>
<li>
<a href = "triangle_grid.sh">triangle_grid.sh</a>,
BASH commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "triangle_grid_prb.f90">triangle_grid_prb.f90</a>,
a sample calling program.
</li>
<li>
<a href = "triangle_grid_prb.sh">triangle_grid_prb.sh</a>,
BASH commands to compile and run the sample program.
</li>
<li>
<a href = "triangle_grid_prb_output.txt">triangle_grid_prb_output.txt</a>,
the output file.
</li>
<li>
<a href = "triangle_grid_test01.xy">triangle_grid_test01.xy</a>,
a grid of 66 points, generated by subdividing by 10 each side
of the (0,0), (1,0), (1/2,sqrt(3)/2) triangle.
</li>
<li>
<a href = "triangle_grid_test01.png">triangle_grid_test01.png</a>,
an image of the points.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>TIMESTAMP</b> prints the current YMDHMS date as a time stamp.
</li>
<li>
<b>TRIANGLE_GRID</b> computes points on a triangular grid.
</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 01 September 2010.
</i>
<!-- John Burkardt -->
</body>
<!-- Initial HTML skeleton created by HTMLINDEX. -->
</html>