V_WedgeMetric.cpp

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/*=========================================================================

  Module:    $RCSfile: V_WedgeMetric.cpp,v $

  Copyright (c) 2006 Sandia Corporation.
  All rights reserved.
  See Copyright.txt or http://www.kitware.com/Copyright.htm for details.

     This software is distributed WITHOUT ANY WARRANTY; without even
     the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR
     PURPOSE.  See the above copyright notice for more information.

=========================================================================*/

/*
 *
 * WedgeMetric.cpp contains quality calculations for wedges
 *
 * This file is part of VERDICT
 *
 */

#define VERDICT_EXPORTS

#include "moab/verdict.h"
#include "VerdictVector.hpp"
#include 

/*
  the wedge element


        5
        ^
       / \
      / | \
     / /2\ \
   6/_______\4
    | /   \ |
    |/_____\|
   3         1

*/

/*!

  calculate the volume of a wedge

  this is done by dividing the wedge into 3 tets
  and summing the volume of each tet

*/

C_FUNC_DEF double v_wedge_volume( int num_nodes, double coordinates[][3] )
{

    double volume = 0;
    VerdictVector side1, side2, side3;

    if( num_nodes == 6 )
    {

        // divide the wedge into 3 tets and calculate each volume

        side1.set( coordinates[1][0] - coordinates[0][0], coordinates[1][1] - coordinates[0][1],
                   coordinates[1][2] - coordinates[0][2] );

        side2.set( coordinates[2][0] - coordinates[0][0], coordinates[2][1] - coordinates[0][1],
                   coordinates[2][2] - coordinates[0][2] );

        side3.set( coordinates[3][0] - coordinates[0][0], coordinates[3][1] - coordinates[0][1],
                   coordinates[3][2] - coordinates[0][2] );

        volume = side3 % ( side1 * side2 ) / 6;

        side1.set( coordinates[4][0] - coordinates[1][0], coordinates[4][1] - coordinates[1][1],
                   coordinates[4][2] - coordinates[1][2] );

        side2.set( coordinates[5][0] - coordinates[1][0], coordinates[5][1] - coordinates[1][1],
                   coordinates[5][2] - coordinates[1][2] );

        side3.set( coordinates[3][0] - coordinates[1][0], coordinates[3][1] - coordinates[1][1],
                   coordinates[3][2] - coordinates[1][2] );

        volume += side3 % ( side1 * side2 ) / 6;

        side1.set( coordinates[5][0] - coordinates[1][0], coordinates[5][1] - coordinates[1][1],
                   coordinates[5][2] - coordinates[1][2] );

        side2.set( coordinates[2][0] - coordinates[1][0], coordinates[2][1] - coordinates[1][1],
                   coordinates[2][2] - coordinates[1][2] );

        side3.set( coordinates[3][0] - coordinates[1][0], coordinates[3][1] - coordinates[1][1],
                   coordinates[3][2] - coordinates[1][2] );

        volume += side3 % ( side1 * side2 ) / 6;
    }

    return (double)volume;
}

C_FUNC_DEF void v_wedge_quality( int num_nodes,
                                 double coordinates[][3],
                                 unsigned int metrics_request_flag,
                                 WedgeMetricVals* metric_vals )
{
    memset( metric_vals, 0, sizeof( WedgeMetricVals ) );

    if( metrics_request_flag & V_WEDGE_VOLUME ) metric_vals->volume = v_wedge_volume( num_nodes, coordinates );
}