V_KnifeMetric.cpp

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

  Module:    $RCSfile: V_KnifeMetric.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.

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

/*
 *
 * KnifeMetrics.cpp contains quality calculations for knives
 *
 * This file is part of VERDICT
 *
 */

#define VERDICT_EXPORTS

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

/*  a knife element

          3
         _/\_
       _/  | \_
   0 _/        \_ 2
    |\_    | ___/|
    |  \  __/    |
    |  1\/ |     |
    |    \       |
    |_____\|_____|
   4       5      6


    (edge 3,5  is is a hidden line if you will)

    if this is hard to visualize, consider a hex
    with nodes 5 and 7 becoming the same node


*/

/*!
  calculates the volume of a knife element

  this is done by dividing the knife into 4 tets
  and summing the volumes of each.
*/

C_FUNC_DEF double v_knife_volume( int num_nodes, double coordinates[][3] )
{
    double volume = 0;
    VerdictVector side1, side2, side3;

    if( num_nodes == 7 )
    {

        // divide the knife into 4 tets and calculate the volume

        side1.set( coordinates[1][0] - coordinates[0][0], coordinates[1][1] - coordinates[0][1],
                   coordinates[1][2] - coordinates[0][2] );
        side2.set( coordinates[3][0] - coordinates[0][0], coordinates[3][1] - coordinates[0][1],
                   coordinates[3][2] - coordinates[0][2] );
        side3.set( coordinates[4][0] - coordinates[0][0], coordinates[4][1] - coordinates[0][1],
                   coordinates[4][2] - coordinates[0][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[3][0] - coordinates[1][0], coordinates[3][1] - coordinates[1][1],
                   coordinates[3][2] - coordinates[1][2] );
        side3.set( coordinates[4][0] - coordinates[1][0], coordinates[4][1] - coordinates[1][1],
                   coordinates[4][2] - coordinates[1][2] );

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

        side1.set( coordinates[2][0] - coordinates[1][0], coordinates[2][1] - coordinates[1][1],
                   coordinates[2][2] - coordinates[1][2] );
        side2.set( coordinates[3][0] - coordinates[1][0], coordinates[3][1] - coordinates[1][1],
                   coordinates[3][2] - coordinates[1][2] );
        side3.set( coordinates[6][0] - coordinates[1][0], coordinates[6][1] - coordinates[1][1],
                   coordinates[6][2] - coordinates[1][2] );

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

        side1.set( coordinates[3][0] - coordinates[1][0], coordinates[3][1] - coordinates[1][1],
                   coordinates[3][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[6][0] - coordinates[1][0], coordinates[6][1] - coordinates[1][1],
                   coordinates[6][2] - coordinates[1][2] );

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

    return (double)volume;
}

/*!

  calculate the quality metrics of a knife element.

  There is only one, but we put this here to be consistent with
  functions for other element types.  Who knows if we'll add
  more metrics.
*/

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

    if( metrics_request_flag & V_KNIFE_VOLUME ) metric_vals->volume = v_knife_volume( num_nodes, coordinates );
}