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<html>
<head>
<title>
DISK_GRID - Grid Points Within a Disk
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
DISK_GRID <br> Grid Points Within a Disk
</h1>
<hr>
<p>
<b>DISK_GRID</b>
is a C++ library which
generates a grid of points
over the interior of a disk in 2D.
</p>
<p>
The library allows the user to define an arbitrary disk by
choosing its radius and center. The user also chooses N, the number
of subintervals into which the horizontal radius line will be subdivided.
It then returns the gridpoints defined by that choice.
</p>
<p>
Another function allows the user to specify that N points on a Fibonacci
spiral are to be placed within the disk.
</p>
<p>
The test program creates input files to GNUPLOT which will create
graphic images of the grids.
</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>DISK_GRID</b> is available in
<a href = "../../c_src/disk_grid/disk_grid.html">a C version</a> and
<a href = "../../cpp_src/disk_grid/disk_grid.html">a C++ version</a> and
<a href = "../../f77_src/disk_grid/disk_grid.html">a FORTRAN77 version</a> and
<a href = "../../f_src/disk_grid/disk_grid.html">a FORTRAN90 version</a> and
<a href = "../../m_src/disk_grid/disk_grid.html">a MATLAB version</a> and
<a href = "../../py_src/disk_grid/disk_grid.html">a Python version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../cpp_src/ball_grid/ball_grid.html">
BALL_GRID</a>,
a C++ library which
computes a grid of points
over the interior of a ball in 3D.
</p>
<p>
<a href = "../../cpp_src/circle_arc_grid/circle_arc_grid.html">
CIRCLE_ARC_GRID</a>,
a C++ program which
computes points equally spaced along a circular arc;
</p>
<p>
<a href = "../../cpp_src/cube_grid/cube_grid.html">
CUBE_GRID</a>,
a C++ library which
computes a grid of points
over the interior of a cube in 3D.
</p>
<p>
<a href = "../../cpp_src/ellipse_grid/ellipse_grid.html">
ELLIPSE_GRID</a>,
a C++ library which
computes a grid of points
over the interior of an ellipse in 2D.
</p>
<p>
<a href = "../../cpp_src/ellipsoid_grid/ellipsoid_grid.html">
ELLIPSOID_GRID</a>,
a C++ library which
computes a grid of points
over the interior of an ellipsoid in 3D.
</p>
<p>
<a href = "../../cpp_src/gnuplot/gnuplot.html">
GNUPLOT</a>,
C++ programs which
illustrate how a program can write data and command files
so that gnuplot can create plots of the program results.
</p>
<p>
<a href = "../../cpp_src/hypercube_grid/hypercube_grid.html">
HYPERCUBE_GRID</a>,
a C++ library which
computes a grid of points
over the interior of a hypercube in M dimensions.
</p>
<p>
<a href = "../../cpp_src/line_grid/line_grid.html">
LINE_GRID</a>,
a C++ library which
computes a grid of points
over the interior of a line segment in 1D.
</p>
<p>
<a href = "../../cpp_src/polygon_grid/polygon_grid.html">
POLYGON_GRID</a>,
a C++ library which
generates a grid of points
over the interior of a polygon in 2D.
</p>
<p>
<a href = "../../cpp_src/pyramid_grid/pyramid_grid.html">
PYRAMID_GRID</a>,
a C++ library which
computes a grid of points
over the interior of the unit pyramid in 3D;
</p>
<p>
<a href = "../../cpp_src/simplex_grid/simplex_grid.html">
SIMPLEX_GRID</a>,
a C++ library which
generates a regular grid of points
over the interior of an arbitrary simplex in M dimensions.
</p>
<p>
<a href = "../../cpp_src/sphere_fibonacci_grid/sphere_fibonacci_grid.html">
SPHERE_FIBONACCI_GRID</a>,
a C++ library which
uses a Fibonacci spiral to create a grid of points
on the surface of the unit sphere in 3D.
</p>
<p>
<a href = "../../cpp_src/sphere_grid/sphere_grid.html">
SPHERE_GRID</a>,
a C++ library which
provides a number of ways of generating grids of points, or of
points and lines, or of points and lines and faces,
on the surface of the unit sphere in 3D.
</p>
<p>
<a href = "../../cpp_src/sphere_llq_grid/sphere_llq_grid.html">
SPHERE_LLQ_GRID</a>,
a C++ library which
uses longitudes and latitudes to create grids of points,
lines, and quadrilaterals
on the surface of the unit sphere in 3D.
</p>
<p>
<a href = "../../cpp_src/sphere_llt_grid/sphere_llt_grid.html">
SPHERE_LLT_GRID</a>,
a C++ library which
uses longitudes and latitudes to create grids of points,
lines, and triangles
on the surface of the unit sphere in 3D.
</p>
<p>
<a href = "../../cpp_src/square_grid/square_grid.html">
SQUARE_GRID</a>,
a C++ library which
computes a grid of points
over the interior of a square in 2D.
</p>
<p>
<a href = "../../cpp_src/tetrahedron_grid/tetrahedron_grid.html">
TETRAHEDRON_GRID</a>,
a C++ library which
computes a grid of points
over the interior of a tetrahedron in 3D.
</p>
<p>
<a href = "../../cpp_src/triangle_grid/triangle_grid.html">
TRIANGLE_GRID</a>,
a C++ library which
computes a grid of points
over the interior of a triangle in 2D.
</p>
<p>
<a href = "../../cpp_src/wedge_grid/wedge_grid.html">
WEDGE_GRID</a>,
a C++ library which
computes a grid of points
over the interior of the unit wedge in 3D.
</p>
<h3 align = "center">
Reference:
</h3>
<p>
<ol>
<li>
Richard Swinbank, James Purser,<br>
Fibonacci grids: A novel approach to global modelling,<br>
Quarterly Journal of the Royal Meteorological Society,<br>
Volume 132, Number 619, July 2006 Part B, pages 1769-1793.
</li>
</ol>
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "disk_grid.cpp">disk_grid.cpp</a>, the source code.
</li>
<li>
<a href = "disk_grid.hpp">disk_grid.hpp</a>, the include file.
</li>
<li>
<a href = "disk_grid.sh">disk_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 = "disk_grid_prb.cpp">disk_grid_prb.cpp</a>,
a sample calling program.
</li>
<li>
<a href = "disk_grid_prb.sh">disk_grid_prb.sh</a>,
BASH commands to compile and run the sample program.
</li>
<li>
<a href = "disk_grid_prb_output.txt">disk_grid_prb_output.txt</a>,
the output file.
</li>
<li>
<a href = "disk_grid_test01.xy">disk_grid_test01.xy</a>,
the list of grid points.
</li>
<li>
<a href = "disk_grid_test01_boundary.txt">disk_grid_test01_boundary.txt</a>,
coordinates of the bounding circle.
</li>
<li>
<a href = "disk_grid_test01_data.txt">disk_grid_test01_data.txt</a>,
coordinates of the grid points.
</li>
<li>
<a href = "disk_grid_test01_commands.txt">disk_grid_test01_commands.txt</a>,
input commands to Gnuplot to create an image.
</li>
<li>
<a href = "disk_grid_test01.png">disk_grid_test01.png</a>,
an image of the points.
</li>
<li>
<a href = "disk_grid_test02.xy">disk_grid_test02.xy</a>,
the list of Fibonacci grid points.
</li>
<li>
<a href = "disk_grid_test02_boundary.txt">disk_grid_test02_boundary.txt</a>,
coordinates of the bounding circle.
</li>
<li>
<a href = "disk_grid_test02_data.txt">disk_grid_test02_data.txt</a>,
coordinates of the grid points.
</li>
<li>
<a href = "disk_grid_test02_commands.txt">disk_grid_test02_commands.txt</a>,
input commands to Gnuplot to create an image.
</li>
<li>
<a href = "disk_grid_test02.png">disk_grid_test02.png</a>,
an image of the points.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>DISK_GRID</b> computes grid points inside a disk.
</li>
<li>
<b>DISK_GRID_COUNT</b> counts the grid points inside a disk.
</li>
<li>
<b>DISK_GRID_FIBONACCI</b> computes Fibonacci grid points inside a disk.
</li>
<li>
<b>R82VEC_PRINT_PART</b> prints "part" of an R82VEC.
</li>
<li>
<b>R8MAT_WRITE</b> writes an R8MAT file.
</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 20 October 2013.
</i>
<!-- John Burkardt -->
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