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table_border.html
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table_border.html
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<html>
<head>
<title>
TABLE_BORDER - Add zero boundary values to a table
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TABLE_BORDER <br> Add zero boundary values to a table
</h1>
<hr>
<p>
<b>TABLE_BORDER</b>
is a FORTRAN90 program which
adds a layer of zero boundary values to a table.
</p>
<p>
To understand what's going on, assume that we begin with
a set of (scalar) values on an M by N grid; we illustrate with
M = 3 and N = 5:
<pre>
11 12 13 14 15
21 22 23 24 25
31 32 33 34 35
</pre>
</p>
<p>
Suppose that this data represents the values of some quantity
on the interior points of a 5 x 7 grid, and that we'd like
to make a new version of the table which includes entries
for these boundary values; that is, we want the M+2 by N+2
array created by adding one row and column to the beginning
and end of the original table, and setting those values to 0.
For our example, this would be:
<pre>
0 0 0 0 0 0 0
0 11 12 13 14 15 0
0 21 22 23 24 25 0
0 31 32 33 34 35 0
0 0 0 0 0 0 0
</pre>
</p>
<p>
The <b>TABLE_BORDER</b> program is designed to do this, using
the command line.
</p>
<p>
Now we are probably going to be dealing with much larger sets of
data, stored in a file. So we have to figure out the rules for
doing that:
</p>
<p>
<i>Input file format</i>: The initial data, which is "really" an
M by N array, is to be thought of as a vector of length M * N,
created by listing the first column, the second column, and so on
to the last column. This data is stored in a file using the
<a href = "../../data/table/table.html">TABLE format</a>. Our
example data would be:
<pre>
# Comments are OK in a file if preceded by the comment character!
#
11
21
31
12
22
...
34
15
25
35
</pre>
We will presume this file is called <i>"u.txt"</i>.
</p>
<p>
<i>(Pie in the Sky):</i> In a future version of this program,
the data at each node will be allowed to be vector-valued.
That's one reason we are forcing the data currently to be listed
with just a single value per line in the file!
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<dl>
<dt>
<b>table_border</b> <i>u.txt</i> <i>v.txt</i> <i>m</i> <i>n</i>
</dt>
<dd>
reads the input file <i>u.txt</i>, and the name of the output
file <i>v.txt</i>, as well as <i>m</i>, the number of rows, and
<i>n</i>, the number of columns, in the original spatial grid.
</dd>
</dl>
</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>TABLE_BORDER</b> is available in
<a href = "../../cpp_src/table_border/table_border.html">a C++ version</a> and
<a href = "../../f_src/table_border/table_border.html">a FORTRAN90 version.</a>
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/table_barplot_ppma/table_barplot_ppma.html">
TABLE_BARPLOT_PPMA</a>,
a FORTRAN90 program which
reads a table file and creates an ASCII Portable Pixel Map (PPM) bargraph of the data.
</p>
<p>
<a href = "../../f_src/table_delaunay/table_delaunay.html">
TABLE_DELAUNAY</a>,
a FORTRAN90 program which
computes the Delaunay triangulation of a set
of points.
</p>
<p>
<a href = "../../f_src/table_histogram/table_histogram.html">
TABLE_HISTOGRAM</a>,
a FORTRAN90 program which
can make a histogram of a set of points
stored in a table file.
</p>
<p>
<a href = "../../f_src/table_io/table_io.html">
TABLE_IO</a>,
a FORTRAN90 library which
supplies the routines used to read the TABLE file.
</p>
<p>
<a href = "../../f_src/table_latinize/table_latinize.html">
TABLE_LATINIZE</a>,
a FORTRAN90 program which
reads a file of
points and creates a "latinized" version by adjusting the data.
</p>
<p>
<a href = "../../f_src/table_merge/table_merge.html">
TABLE_MERGE</a>,
a FORTRAN90 program which
reads a file of
points, and removes duplicates, and points that are close to each other.
</p>
<p>
<a href = "../../f_src/table_orthonormalize/table_orthonormalize.html">
TABLE_ORTHONORMALIZE</a>,
a FORTRAN90 program which
reads a file of
points and orthonormalizes the columns.
</p>
<p>
<a href = "../../f_src/table_quality/table_quality.html">
TABLE_QUALITY</a>,
a FORTRAN90 program which
reads a file of
points and computes the quality of dispersion.
</p>
<p>
<a href = "../../f_src/table_record_match/table_record_match.html">
TABLE_RECORD_MATCH</a>,
a FORTRAN90 program which
finds close records in a table file.
</p>
<p>
<a href = "../../f_src/table_scale/table_scale.html">
TABLE_SCALE</a>,
a FORTRAN90 program which
multiplies the entries of a table file
by a scale vector.
</p>
<p>
<a href = "../../f_src/table_shift/table_shift.html">
TABLE_SHIFT</a>,
a FORTRAN90 program which
shifts the entries of a table file
by a shift vector.
</p>
<p>
<a href = "../../f_src/table_stats/table_stats.html">
TABLE_STATS</a>,
a FORTRAN90 program which
reads a table file and computes certain statistics.
</p>
<p>
<a href = "../../f_src/table_tet_mesh/table_tet_mesh.html">
TABLE_TET_MESH</a>,
a FORTRAN90 program which
reads a table file of 3D data, and computes a
tetrahedral mesh.
</p>
<p>
<a href = "../../f_src/table_top/table_top.html">
TABLE_TOP</a>,
a FORTRAN90 program which
reads a table file of M-dimensional data and
makes a table of plots of all pairs of coordinates.
</p>
<p>
<a href = "../../f_src/table_unborder/table_unborder.html">
TABLE_UNBORDER</a>,
a FORTRAN90 program which
removes the border from a table file.
</p>
<p>
<a href = "../../f_src/table_uniform_noise/table_uniform_noise.html">
TABLE_UNIFORM_NOISE</a>,
a FORTRAN90 program which
adds a uniform noise term to the data
in a table file.
</p>
<p>
<a href = "../../f_src/table_voronoi/table_voronoi.html">
TABLE_VORONOI</a>,
a FORTRAN90 program which
computes information about
the Voronoi diagram of the points.
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "table_border.f90">table_border.f90</a>,
the source code.
</li>
<li>
<a href = "table_border.sh">table_border.sh</a>,
commands to compile and load the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
Our test data is the results of the command
<blockquote>
table_border u_01.txt v_01.txt 3 5
</blockquote>
Note that the program will automatically repeat the command
on a numerical sequence of input files!
Test files you may copy include:
<ul>
<li>
<a href = "u_01.txt">u_01.txt</a>,
input file #1, a 3 by 5 set of data.
</li>
<li>
<a href = "u_02.txt">u_02.txt</a>,
input file #2, a 3 by 5 set of data.
</li>
<li>
<a href = "u_03.txt">u_03.txt</a>,
input file #3, a 3 by 5 set of data.
</li>
<li>
<a href = "v_01.txt">v_01.txt</a>,
output file #1, a 5 by 7 set of data.
</li>
<li>
<a href = "v_02.txt">v_02.txt</a>,
output file #2, a 5 by 7 set of data.
</li>
<li>
<a href = "v_03.txt">v_03.txt</a>,
output file #3, a 5 by 7 set of data.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for TABLE_BORDER.
</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_IS_DIGIT</b> returns TRUE if a character is a decimal digit.
</li>
<li>
<b>CH_TO_DIGIT</b> returns the integer value of a base 10 digit.
</li>
<li>
<b>DTABLE_DATA_BORDER_ADD</b> adds a "border" to double precision table data.
</li>
<li>
<b>DTABLE_DATA_READ</b> reads data from a double precision table file.
</li>
<li>
<b>DTABLE_DATA_WRITE</b> writes data to a double precision table file.
</li>
<li>
<b>DTABLE_HEADER_READ</b> reads the header from a double precision table file.
</li>
<li>
<b>DTABLE_HEADER_WRITE</b> writes the header to a double precision table file.
</li>
<li>
<b>DTABLE_PRINT</b> prints a double precision matrix.
</li>
<li>
<b>DTABLE_PRINT_SOME</b> prints some of a double precision matrix.
</li>
<li>
<b>DTABLE_WRITE</b> writes a double precision table file.
</li>
<li>
<b>FILE_COLUMN_COUNT</b> counts the number of columns in the first line of a file.
</li>
<li>
<b>FILE_EXIST</b> reports whether a file exists.
</li>
<li>
<b>FILE_NAME_INC</b> generates the next filename in a series.
</li>
<li>
<b>FILE_ROW_COUNT</b> counts the number of row records in a file.
</li>
<li>
<b>GET_UNIT</b> returns a free FORTRAN unit number.
</li>
<li>
<b>I4_INPUT</b> prints a prompt string and reads an integer from the user.
</li>
<li>
<b>S_BLANK_DELETE</b> removes blanks from a string, left justifying the remainder.
</li>
<li>
<b>S_INPUT</b> prints a prompt string and reads a string from the user.
</li>
<li>
<b>S_TO_I4</b> reads an I4 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>
<li>
<b>TIMESTRING</b> writes the current YMDHMS date into a string.
</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 13 November 2006.
</i>
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