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<html>
<head>
<title>
TRIANGLE_PROPERTIES - Compute Properties of a Triangle
</title>
</head>
<body bgcolor="#EEEEEE" link="#CC0000" alink="#FF3300" vlink="#000055">
<h1 align = "center">
TRIANGLE_PROPERTIES <br> Compute Properties of a Triangle
</h1>
<hr>
<p>
<b>TRIANGLE_PROPERTIES</b>
is a FORTRAN90 program which
computes properties of a triangle.
</p>
<p>
These properties include:
<ul>
<li>
Angles;
</li>
<li>
Area;
</li>
<li>
Centroid;
</li>
<li>
Circumcircle (center and radius);
</li>
<li>
Edge lengths;
</li>
<li>
Incircle (center and radius);
</li>
<li>
Orientation;
</li>
<li>
Orthocenter;
</li>
<li>
Quality: ratio of incircle radius / circumcircle radius;
</li>
</ul>
</p>
<h3 align = "center">
Usage:
</h3>
<p>
<blockquote>
<b>triangle_properties</b> <i>filename</i>
</blockquote>
where <i>filename</i> contains the vertex coordinates.
</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_PROPERTIES</b> is available in
<a href = "../../cpp_src/triangle_properties/triangle_properties.html">a C++ version</a> and
<a href = "../../f_src/triangle_properties/triangle_properties.html">a FORTRAN90 version</a> and
<a href = "../../m_src/triangle_properties/triangle_properties.html">a MATLAB version</a>.
</p>
<h3 align = "center">
Related Data and Programs:
</h3>
<p>
<a href = "../../f_src/geometry/geometry.html">
GEOMETRY</a>,
a FORTRAN90 library which
performs geometric calculations in 2, 3 and N dimensional space.
</p>
<p>
<a href = "../../f_src/tetrahedron_properties/tetrahedron_properties.html">
TETRAHEDRON_PROPERTIES</a>,
a FORTRAN90 program which
computes properties of a given tetrahedron.
</p>
<p>
<a href = "../../datasets/triangles/triangles.html">
TRIANGLES</a>,
a dataset directory which
contains examples of triangles;
</p>
<h3 align = "center">
Source Code:
</h3>
<p>
<ul>
<li>
<a href = "triangle_properties.f90">triangle_properties.f90</a>, the source code.
</li>
<li>
<a href = "triangle_properties.sh">triangle_properties.sh</a>,
commands to compile the source code.
</li>
</ul>
</p>
<h3 align = "center">
Examples and Tests:
</h3>
<p>
<ul>
<li>
<a href = "../../datasets/triangles/tex1.txt">tex1.txt</a>, example 1.
</li>
<li>
<a href = "tex1_properties.txt">tex1_properties.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/triangles/tex2.txt">tex2.txt</a>, example 2.
</li>
<li>
<a href = "tex2_properties.txt">tex2_properties.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/triangles/tex3.txt">tex3.txt</a>, example 3.
</li>
<li>
<a href = "tex3_properties.txt">tex3_properties.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/triangles/tex4.txt">tex4.txt</a>, example 4.
</li>
<li>
<a href = "tex4_properties.txt">tex4_properties.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/triangles/tex5.txt">tex5.txt</a>, example 5.
</li>
<li>
<a href = "tex5_properties.txt">tex5_properties.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/triangles/tex6.txt">tex6.txt</a>, example 6.
</li>
<li>
<a href = "tex6_properties.txt">tex6_properties.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/triangles/tex7.txt">tex7.txt</a>, example 7.
</li>
<li>
<a href = "tex7_properties.txt">tex7_properties.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/triangles/tex8.txt">tex8.txt</a>, example 8.
</li>
<li>
<a href = "tex8_properties.txt">tex8_properties.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/triangles/triangle_cap.txt">triangle_cap.txt</a>,
example of a "cap" triangle.
</li>
<li>
<a href = "triangle_cap_properties.txt">triangle_cap_properties.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/triangles/triangle_equilateral.txt">triangle_equilateral.txt</a>,
example of an equilateral triangle.
</li>
<li>
<a href = "triangle_equilateral_properties.txt">triangle_equilateral_properties.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/triangles/triangle_needle.txt">triangle_needle.txt</a>,
example of a "needle" triangle.
</li>
<li>
<a href = "triangle_needle_properties.txt">triangle_needle_properties.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/triangles/triangle_ref.txt">triangle_ref.txt</a>,
example of a reference triangle.
</li>
<li>
<a href = "triangle_ref_properties.txt">triangle_ref_properties.txt</a>,
the output file.
</li>
<li>
<a href = "../../datasets/triangles/triangle_right.txt">triangle_right.txt</a>,
example of a right triangle.
</li>
<li>
<a href = "triangle_right_properties.txt">triangle_right_properties.txt</a>,
the output file.
</li>
</ul>
</p>
<h3 align = "center">
List of Routines:
</h3>
<p>
<ul>
<li>
<b>MAIN</b> is the main program for TRIANGLE_PROPERTIES.
</li>
<li>
<b>ARC_COSINE</b> computes the arc cosine function, with argument truncation.
</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>DTABLE_DATA_READ</b> reads data from a DTABLE file.
</li>
<li>
<b>DTABLE_HEADER_READ</b> reads the header from a DTABLE file.
</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>GET_UNIT</b> returns a free FORTRAN unit number.
</li>
<li>
<b>I4_MODP</b> returns the nonnegative remainder of integer division.
</li>
<li>
<b>I4_WRAP</b> forces an I4 to lie between given limits by wrapping.
</li>
<li>
<b>LINE_EXP_IS_DEGENERATE_ND</b> finds if an explicit line is degenerate in ND.
</li>
<li>
<b>LINE_EXP_PERP_2D</b> computes a line perpendicular to a line and through a point.
</li>
<li>
<b>LINE_EXP2IMP_2D</b> converts an explicit line to implicit form in 2D.
</li>
<li>
<b>LINE_IMP_IS_DEGENERATE_2D</b> finds if an implicit point is degenerate in 2D.
</li>
<li>
<b>LINES_EXP_INT_2D</b> determines where two explicit lines intersect in 2D.
</li>
<li>
<b>LINES_IMP_INT_2D</b> determines where two implicit lines intersect in 2D.
</li>
<li>
<b>R8_SWAP</b> swaps two R8's.
</li>
<li>
<b>R8MAT_SOLVE</b> uses Gauss-Jordan elimination to solve an N by N linear system.
</li>
<li>
<b>R8MAT_TRANSPOSE_PRINT</b> prints an R8MAT, transposed.
</li>
<li>
<b>R8MAT_TRANSPOSE_PRINT_SOME</b> prints some of an R8MAT, transposed.
</li>
<li>
<b>R8VEC_LENGTH</b> returns the Euclidean length of a vector.
</li>
<li>
<b>R8VEC_PRINT</b> prints an R8VEC.
</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>TRIANGLE_ANGLES_2D</b> computes the angles of a triangle in 2D.
</li>
<li>
<b>TRIANGLE_AREA_2D</b> computes the area of a triangle in 2D.
</li>
<li>
<b>TRIANGLE_CENTROID_2D</b> computes the centroid of a triangle in 2D.
</li>
<li>
<b>TRIANGLE_CIRCUMCIRCLE_2D</b> computes the circumcircle of a triangle in 2D.
</li>
<li>
<b>TRIANGLE_EDGE_LENGTH_2D</b> returns edge lengths of a triangle in 2D.
</li>
<li>
<b>TRIANGLE_INCIRCLE_2D</b> computes the inscribed circle of a triangle in 2D.
</li>
<li>
<b>TRIANGLE_ORIENTATION_2D</b> determines the orientation of a triangle in 2D.
</li>
<li>
<b>TRIANGLE_ORTHOCENTER_2D</b> computes the orthocenter of a triangle in 2D.
</li>
<li>
<b>TRIANGLE_QUALITY_2D:</b> "quality" of a triangle in 2D.
</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 = "../f_src.html">
the FORTRAN90 source codes</a>.
</p>
<hr>
<i>
Last revised on 17 July 2009.
</i>
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