tetrahedron_grid/tetrahedron_grid.html

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      TETRAHEDRON_GRID - Tetrahedral Grid of Points
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      TETRAHEDRON_GRID <br> Tetrahedral Grid of Points
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    <p>
      <b>TETRAHEDRON_GRID</b>
      is a FORTRAN90 library which
      generates a grid of points inside a 3D tetrahedron.
    </p>

    <p>
      Starting with any 4 points A, B, C and D that define a tetrahedron,
      we can divide each edge of the tetrahedron into N subintervals,
      and create a tetrahedral grid.  This defines ((N+1)*(N+2)*(N+3))/6
      points that lie on the intersections of grid lines.
    </p>

    <p>
      The library includes a routine which allows the user to pick an
      arbitrary tetrahedron and an arbitrary number of subdivisions.  It
      then returns the tetrahedral 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>

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      Languages:
    </h3>

    <p>
      <b>TETRAHEDRON_GRID</b> is available in
      <a href = "../../c_src/tetrahedron_grid/tetrahedron_grid.html">a C version</a> and
      <a href = "../../cpp_src/tetrahedron_grid/tetrahedron_grid.html">a C++ version</a> and
      <a href = "../../f77_src/tetrahedron_grid/tetrahedron_grid.html">a FORTRAN77 version</a> and
      <a href = "../../f_src/tetrahedron_grid/tetrahedron_grid.html">a FORTRAN90 version</a> and
      <a href = "../../m_src/tetrahedron_grid/tetrahedron_grid.html">a MATLAB version</a>.
    </p>

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      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 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 grid points that lie 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/triangle_grid/triangle_grid.html">
      TRIANGLE_GRID</a>, 
      a FORTRAN90 library which 
      computes a triangular grid of points.
    </p>

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      Source Code:
    </h3>

    <p>
      <ul>
        <li>
          <a href = "tetrahedron_grid.f90">tetrahedron_grid.f90</a>, the source code.
        </li>
        <li>
          <a href = "tetrahedron_grid.sh">tetrahedron_grid.sh</a>,
          BASH commands to compile the source code.
        </li>
      </ul>
    </p>

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      Examples and Tests:
    </h3>

    <p>
      <ul>
        <li>
          <a href = "tetrahedron_grid_prb.f90">tetrahedron_grid_prb.f90</a>,
          a sample calling program.
        </li>
        <li>
          <a href = "tetrahedron_grid_prb.sh">tetrahedron_grid_prb.sh</a>,
          BASH commands to compile and run the sample program.
        </li>
        <li>
          <a href = "tetrahedron_grid_prb_output.txt">tetrahedron_grid_prb_output.txt</a>,
          the output file.
        </li>
        <li>
          <a href = "tetrahedron_grid_test01.xyz">tetrahedron_grid_test01.xyz</a>,
          a grid of 286 points, generated by subdividing by 10 each side
          of the (0,0,0), (1,0,0), (0,1,0) and (0,0,1) tetrahedron.
        </li>
        <li>
          <a href = "tetrahedron_grid_test01.png">tetrahedron_grid_test01.png</a>,
          an image of the points.
        </li>
      </ul>
    </p>

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      List of Routines:
    </h3>

    <p>
      <ul>
        <li>
          <b>GET_UNIT</b> returns a free FORTRAN unit number.
        </li>
        <li>
          <b>R83VEC_PRINT_PART</b> prints "part" of an R83VEC.
        </li>
        <li>
          <b>R8MAT_WRITE</b> writes an R8MAT file.
        </li>
        <li>
          <b>TETRAHEDRON_GRID</b> computes points on a tetrahedral grid.
        </li>
        <li>
          <b>TETRAHEDRON_GRID_COUNT</b> counts the grid points inside a tetrahedron.
        </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>

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    <i>
      Last revised on 10 November 2011.
    </i>

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