TopologyInfoTest.cpp

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/* *****************************************************************
    MESQUITE -- The Mesh Quality Improvement Toolkit

    Copyright 2004 Lawrence Livermore National Laboratory.  Under
    the terms of Contract B545069 with the University of Wisconsin --
    Madison, Lawrence Livermore National Laboratory retains certain
    rights in this software.

    This library is free software; you can redistribute it and/or
    modify it under the terms of the GNU Lesser General Public
    License as published by the Free Software Foundation; either
    version 2.1 of the License, or (at your option) any later version.

    This library is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
    Lesser General Public License for more details.

    You should have received a copy of the GNU Lesser General Public License
    (lgpl.txt) along with this library; if not, write to the Free Software
    Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA

    [email protected]

  ***************************************************************** */

#include <algorithm>
#include <iostream>
using std::cout;
#include "cppunit/extensions/HelperMacros.h"

#include "Mesquite.hpp"
#include "MsqError.hpp"
#include "TopologyInfo.hpp"

using namespace MBMesquite;

class TopologyInfoTest : public CppUnit::TestFixture
{
  private:
    CPPUNIT_TEST_SUITE( TopologyInfoTest );

    CPPUNIT_TEST( tri );
    CPPUNIT_TEST( tri3 );
    CPPUNIT_TEST( tri4 );
    CPPUNIT_TEST( tri6 );
    CPPUNIT_TEST( tri7 );

    CPPUNIT_TEST( quad );
    CPPUNIT_TEST( quad4 );
    CPPUNIT_TEST( quad5 );
    CPPUNIT_TEST( quad8 );
    CPPUNIT_TEST( quad9 );

    CPPUNIT_TEST( tet );
    CPPUNIT_TEST( tet4 );
    CPPUNIT_TEST( tet5 );
    CPPUNIT_TEST( tet8 );
    CPPUNIT_TEST( tet9 );
    CPPUNIT_TEST( tet10 );
    CPPUNIT_TEST( tet11 );
    CPPUNIT_TEST( tet14 );
    CPPUNIT_TEST( tet15 );

    CPPUNIT_TEST( hex );
    CPPUNIT_TEST( hex8 );
    CPPUNIT_TEST( hex9 );
    CPPUNIT_TEST( hex14 );
    CPPUNIT_TEST( hex15 );
    CPPUNIT_TEST( hex20 );
    CPPUNIT_TEST( hex21 );
    CPPUNIT_TEST( hex26 );
    CPPUNIT_TEST( hex27 );

    CPPUNIT_TEST( pyramid );
    CPPUNIT_TEST( pyramid5 );
    CPPUNIT_TEST( pyramid13 );

    CPPUNIT_TEST( wedge );
    CPPUNIT_TEST( wedge6 );
    CPPUNIT_TEST( wedge15 );

    CPPUNIT_TEST( polygon );
    CPPUNIT_TEST( polyhedron );

    CPPUNIT_TEST( bad_type );

    CPPUNIT_TEST( tri_adj_vert );
    CPPUNIT_TEST( quad_adj_vert );
    CPPUNIT_TEST( tet_adj_vert );
    CPPUNIT_TEST( hex_adj_vert );
    CPPUNIT_TEST( pyr_adj_vert );
    CPPUNIT_TEST( wdg_adj_vert );

    CPPUNIT_TEST( tri_rev_adj_vert );
    CPPUNIT_TEST( quad_rev_adj_vert );
    CPPUNIT_TEST( tet_rev_adj_vert );
    CPPUNIT_TEST( hex_rev_adj_vert );
    CPPUNIT_TEST( pyr_rev_adj_vert );
    CPPUNIT_TEST( wdg_rev_adj_vert );

    CPPUNIT_TEST( higher_order_from_side );
    CPPUNIT_TEST( side_from_higher_order );
    CPPUNIT_TEST( find_edge );
    CPPUNIT_TEST( find_face );
    CPPUNIT_TEST( find_side );
    CPPUNIT_TEST( compare_sides );

    CPPUNIT_TEST_SUITE_END();

  public:
    void setUp() {}

    void tearDown() {}

    TopologyInfoTest() {}

    bool compare_edge( const unsigned* a, const unsigned* b );

    bool compare_face( unsigned len, const unsigned* a, const unsigned* b );

    bool compare_vol( unsigned len, const unsigned* a, const unsigned* b );

    void test_face_elem( EntityTopology topo, unsigned num_nodes, unsigned num_sides );

    void test_vol_elem( EntityTopology topo,
                        unsigned num_nodes,
                        unsigned num_verts,
                        unsigned num_edges,
                        unsigned num_faces );

    void test_poly( EntityTopology topo );

    void tri();
    void tri3();
    void tri4();
    void tri6();
    void tri7();

    void quad();
    void quad4();
    void quad5();
    void quad8();
    void quad9();

    void tet();
    void tet4();
    void tet5();
    void tet8();
    void tet9();
    void tet10();
    void tet11();
    void tet14();
    void tet15();

    void hex();
    void hex8();
    void hex9();
    void hex14();
    void hex15();
    void hex20();
    void hex21();
    void hex26();
    void hex27();

    void pyramid();
    void pyramid5();
    void pyramid13();

    void wedge();
    void wedge6();
    void wedge15();

    void polygon();
    void polyhedron();

    void bad_type();

    void tri_adj_vert();
    void quad_adj_vert();
    void tet_adj_vert();
    void hex_adj_vert();
    void pyr_adj_vert();
    void wdg_adj_vert();
    void test_adj( MBMesquite::EntityTopology, const unsigned expected[][5] );

    void tri_rev_adj_vert()
    {
        test_rev_adj( MBMesquite::TRIANGLE );
    }
    void quad_rev_adj_vert()
    {
        test_rev_adj( MBMesquite::QUADRILATERAL );
    }
    void tet_rev_adj_vert()
    {
        test_rev_adj( MBMesquite::TETRAHEDRON );
    }
    void hex_rev_adj_vert()
    {
        test_rev_adj( MBMesquite::HEXAHEDRON );
    }
    void pyr_rev_adj_vert()
    {
        test_rev_adj( MBMesquite::PYRAMID );
    }
    void wdg_rev_adj_vert()
    {
        test_rev_adj( MBMesquite::PRISM );
    }
    void test_rev_adj( MBMesquite::EntityTopology type );

    void higher_order_from_side();
    void side_from_higher_order();
    void find_edge();
    void find_face();
    void find_side();
    void compare_sides();
};

CPPUNIT_TEST_SUITE_NAMED_REGISTRATION( TopologyInfoTest, "TopologyInfoTest" );
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION( TopologyInfoTest, "Unit" );

bool TopologyInfoTest::compare_edge( const unsigned* a, const unsigned* b )
{
    return ( a[0] == b[0] && a[1] == b[1] ) || ( a[0] == b[1] && a[1] == b[0] );
}

bool TopologyInfoTest::compare_face( unsigned len, const unsigned* a, const unsigned* b )
{
    unsigned i, j;
    for( i = 0; i < len; ++i )
    {
        for( j = 0; j < len; ++j )
        {
            if( a[j] != b[( i + j ) % len] ) break;
        }
        if( j == len ) return true;
    }
    return false;
}

bool TopologyInfoTest::compare_vol( unsigned len, const unsigned* a, const unsigned* b )
{
    for( unsigned i = 0; i < len; ++i )
        if( a[i] != b[i] ) return false;
    return true;
}

void TopologyInfoTest::test_face_elem( EntityTopology topo, unsigned num_nodes, unsigned num_sides )
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    unsigned index = 0;
    TopologyInfo::higher_order( topo, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !vol );

    unsigned nodes = num_sides + edge * num_sides + face;
    CPPUNIT_ASSERT( num_nodes == nodes );

    unsigned side, dim;
    for( index = 0; index < num_sides; ++index )
    {
        TopologyInfo::side_number( topo, num_nodes, index, dim, side, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( dim == 0 && side == index );
    }

    if( edge )
    {
        for( unsigned s = 0; s < num_sides; ++s )
        {
            TopologyInfo::side_number( topo, num_nodes, index++, dim, side, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT( dim == 1 && side == s );
        }
    }
    if( face )
    {
        TopologyInfo::side_number( topo, num_nodes, index++, dim, side, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( dim == 2 && side == 0 );
    }
}

void TopologyInfoTest::test_vol_elem( EntityTopology topo,
                                      unsigned num_nodes,
                                      unsigned num_verts,
                                      unsigned num_edges,
                                      unsigned num_faces )
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    unsigned index = 0;
    TopologyInfo::higher_order( topo, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );

    unsigned nodes = num_verts + edge * num_edges + face * num_faces + vol;
    CPPUNIT_ASSERT( num_nodes == nodes );

    unsigned side, dim;
    for( index = 0; index < num_verts; ++index )
    {
        TopologyInfo::side_number( topo, num_nodes, index, dim, side, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( dim == 0 && side == index );
    }

    if( edge )
    {
        for( unsigned s = 0; s < num_edges; ++s )
        {
            TopologyInfo::side_number( topo, num_nodes, index++, dim, side, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT( dim == 1 && side == s );
        }
    }
    if( face )
    {
        for( unsigned s = 0; s < num_faces; ++s )
        {
            TopologyInfo::side_number( topo, num_nodes, index++, dim, side, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT( dim == 2 && side == s );
        }
    }
    if( vol )
    {
        TopologyInfo::side_number( topo, num_nodes, index++, dim, side, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( dim == 3 && side == 0 );
    }
}

void TopologyInfoTest::tri()
{
    MsqPrintError err( cout );

    CPPUNIT_ASSERT( 2 == TopologyInfo::dimension( TRIANGLE ) );
    CPPUNIT_ASSERT( 3 == TopologyInfo::adjacent( TRIANGLE, 1 ) );
    CPPUNIT_ASSERT( 3 == TopologyInfo::adjacent( TRIANGLE, 0 ) );
    CPPUNIT_ASSERT( 1 == TopologyInfo::adjacent( TRIANGLE, 2 ) );
    CPPUNIT_ASSERT( 0 == TopologyInfo::adjacent( TRIANGLE, 3 ) );

    CPPUNIT_ASSERT( 3 == TopologyInfo::sides( TRIANGLE ) );
    CPPUNIT_ASSERT( 3 == TopologyInfo::corners( TRIANGLE ) );
    CPPUNIT_ASSERT( 3 == TopologyInfo::edges( TRIANGLE ) );
    CPPUNIT_ASSERT( 1 == TopologyInfo::faces( TRIANGLE ) );

    const unsigned num_edges = 3;
    const unsigned* side;
    const unsigned edges[num_edges][2] = { { 0, 1 }, { 1, 2 }, { 2, 0 } };
    unsigned count;
    const unsigned face[] = { 0, 1, 2 };

    for( unsigned i = 0; i < num_edges; ++i )
    {
        side = TopologyInfo::edge_vertices( TRIANGLE, i, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( compare_edge( side, edges[i] ) );

        side = TopologyInfo::side_vertices( TRIANGLE, 1, i, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( 2 == count );
        CPPUNIT_ASSERT( compare_edge( side, edges[i] ) );
    }

    side = TopologyInfo::side_vertices( TRIANGLE, 2, 0, count, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( 3 == count );
    CPPUNIT_ASSERT( compare_face( 3, side, face ) );
}

void TopologyInfoTest::tri3()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 3;

    TopologyInfo::higher_order( TRIANGLE, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( !face );

    test_face_elem( TRIANGLE, num_nodes, 3 );
}

void TopologyInfoTest::tri4()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 4;

    TopologyInfo::higher_order( TRIANGLE, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( face );
    CPPUNIT_ASSERT( !vol );

    test_face_elem( TRIANGLE, num_nodes, 3 );
}

void TopologyInfoTest::tri6()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 6;

    TopologyInfo::higher_order( TRIANGLE, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( !vol );

    test_face_elem( TRIANGLE, num_nodes, 3 );
}

void TopologyInfoTest::tri7()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 7;

    TopologyInfo::higher_order( TRIANGLE, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( face );
    CPPUNIT_ASSERT( !vol );

    test_face_elem( TRIANGLE, num_nodes, 3 );
}

void TopologyInfoTest::quad()
{
    MsqPrintError err( cout );

    CPPUNIT_ASSERT( 2 == TopologyInfo::dimension( QUADRILATERAL ) );
    CPPUNIT_ASSERT( 4 == TopologyInfo::adjacent( QUADRILATERAL, 1 ) );
    CPPUNIT_ASSERT( 4 == TopologyInfo::adjacent( QUADRILATERAL, 0 ) );
    CPPUNIT_ASSERT( 1 == TopologyInfo::adjacent( QUADRILATERAL, 2 ) );
    CPPUNIT_ASSERT( 0 == TopologyInfo::adjacent( QUADRILATERAL, 3 ) );

    CPPUNIT_ASSERT( 4 == TopologyInfo::sides( QUADRILATERAL ) );
    CPPUNIT_ASSERT( 4 == TopologyInfo::corners( QUADRILATERAL ) );
    CPPUNIT_ASSERT( 4 == TopologyInfo::edges( QUADRILATERAL ) );
    CPPUNIT_ASSERT( 1 == TopologyInfo::faces( QUADRILATERAL ) );

    const unsigned num_edges = 4;
    const unsigned* side;
    const unsigned edges[num_edges][2] = { { 0, 1 }, { 1, 2 }, { 2, 3 }, { 3, 0 } };
    unsigned count;
    const unsigned face[] = { 0, 1, 2, 3 };

    for( unsigned i = 0; i < num_edges; ++i )
    {
        side = TopologyInfo::edge_vertices( QUADRILATERAL, i, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( compare_edge( side, edges[i] ) );

        side = TopologyInfo::side_vertices( QUADRILATERAL, 1, i, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( 2 == count );
        CPPUNIT_ASSERT( compare_edge( side, edges[i] ) );
    }

    side = TopologyInfo::side_vertices( QUADRILATERAL, 2, 0, count, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( 4 == count );
    CPPUNIT_ASSERT( compare_face( 4, side, face ) );
}

void TopologyInfoTest::quad4()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 4;

    TopologyInfo::higher_order( QUADRILATERAL, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( !vol );

    test_face_elem( QUADRILATERAL, num_nodes, 4 );
}

void TopologyInfoTest::quad5()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 5;

    TopologyInfo::higher_order( QUADRILATERAL, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( face );
    CPPUNIT_ASSERT( !vol );

    test_face_elem( QUADRILATERAL, num_nodes, 4 );
}

void TopologyInfoTest::quad8()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 8;

    TopologyInfo::higher_order( QUADRILATERAL, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( !vol );

    test_face_elem( QUADRILATERAL, num_nodes, 4 );
}

void TopologyInfoTest::quad9()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 9;

    TopologyInfo::higher_order( QUADRILATERAL, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( face );
    CPPUNIT_ASSERT( !vol );

    test_face_elem( QUADRILATERAL, num_nodes, 4 );
}

void TopologyInfoTest::tet()
{
    MsqPrintError err( cout );

    const unsigned num_verts = 4;
    const unsigned num_edges = 6;
    const unsigned num_faces = 4;
    CPPUNIT_ASSERT( 3 == TopologyInfo::dimension( TETRAHEDRON ) );
    CPPUNIT_ASSERT( 1 == TopologyInfo::adjacent( TETRAHEDRON, 3 ) );
    CPPUNIT_ASSERT( num_faces == TopologyInfo::adjacent( TETRAHEDRON, 2 ) );
    CPPUNIT_ASSERT( num_edges == TopologyInfo::adjacent( TETRAHEDRON, 1 ) );
    CPPUNIT_ASSERT( num_verts == TopologyInfo::adjacent( TETRAHEDRON, 0 ) );

    CPPUNIT_ASSERT( num_faces == TopologyInfo::sides( TETRAHEDRON ) );
    CPPUNIT_ASSERT( num_verts == TopologyInfo::corners( TETRAHEDRON ) );
    CPPUNIT_ASSERT( num_edges == TopologyInfo::edges( TETRAHEDRON ) );
    CPPUNIT_ASSERT( num_faces == TopologyInfo::faces( TETRAHEDRON ) );

    const unsigned* side;
    unsigned i, count;
    const unsigned vert_per_face             = 3;
    unsigned edges[num_edges][2]             = { { 0, 1 }, { 1, 2 }, { 2, 0 }, { 0, 3 }, { 1, 3 }, { 2, 3 } };
    unsigned faces[num_faces][vert_per_face] = { { 0, 1, 3 }, { 1, 2, 3 }, { 2, 0, 3 }, { 2, 1, 0 } };

    for( i = 0; i < num_edges; ++i )
    {
        side = TopologyInfo::edge_vertices( TETRAHEDRON, i, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( compare_edge( side, edges[i] ) );

        side = TopologyInfo::side_vertices( TETRAHEDRON, 1, i, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( 2 == count );
        CPPUNIT_ASSERT( compare_edge( side, edges[i] ) );
    }

    for( i = 0; i < num_faces; ++i )
    {
        side = TopologyInfo::face_vertices( TETRAHEDRON, i, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( count == vert_per_face );
        CPPUNIT_ASSERT( compare_face( vert_per_face, side, faces[i] ) );

        side = TopologyInfo::side_vertices( TETRAHEDRON, 2, i, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( count == vert_per_face );
        CPPUNIT_ASSERT( compare_face( vert_per_face, side, faces[i] ) );
    }

    side = TopologyInfo::side_vertices( TETRAHEDRON, 3, 0, count, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( count == num_verts );
    for( i = 0; i < num_verts; ++i )
        CPPUNIT_ASSERT( side[i] == i );
}

void TopologyInfoTest::tet4()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 4;

    TopologyInfo::higher_order( TETRAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( !vol );

    test_vol_elem( TETRAHEDRON, num_nodes, 4, 6, 4 );
}

void TopologyInfoTest::tet5()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 5;

    TopologyInfo::higher_order( TETRAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( vol );

    test_vol_elem( TETRAHEDRON, num_nodes, 4, 6, 4 );
}

void TopologyInfoTest::tet8()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 8;

    TopologyInfo::higher_order( TETRAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( face );
    CPPUNIT_ASSERT( !vol );

    test_vol_elem( TETRAHEDRON, num_nodes, 4, 6, 4 );
}

void TopologyInfoTest::tet9()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 9;

    TopologyInfo::higher_order( TETRAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( face );
    CPPUNIT_ASSERT( vol );

    test_vol_elem( TETRAHEDRON, num_nodes, 4, 6, 4 );
}

void TopologyInfoTest::tet10()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 10;

    TopologyInfo::higher_order( TETRAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( !vol );

    test_vol_elem( TETRAHEDRON, num_nodes, 4, 6, 4 );
}

void TopologyInfoTest::tet11()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 11;

    TopologyInfo::higher_order( TETRAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( vol );

    test_vol_elem( TETRAHEDRON, num_nodes, 4, 6, 4 );
}

void TopologyInfoTest::tet14()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 14;

    TopologyInfo::higher_order( TETRAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( face );
    CPPUNIT_ASSERT( !vol );

    test_vol_elem( TETRAHEDRON, num_nodes, 4, 6, 4 );
}

void TopologyInfoTest::tet15()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 15;

    TopologyInfo::higher_order( TETRAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( face );
    CPPUNIT_ASSERT( vol );

    test_vol_elem( TETRAHEDRON, num_nodes, 4, 6, 4 );
}

void TopologyInfoTest::hex()
{
    MsqPrintError err( cout );

    const unsigned num_verts = 8;
    const unsigned num_edges = 12;
    const unsigned num_faces = 6;
    CPPUNIT_ASSERT( 3 == TopologyInfo::dimension( HEXAHEDRON ) );
    CPPUNIT_ASSERT( 1 == TopologyInfo::adjacent( HEXAHEDRON, 3 ) );
    CPPUNIT_ASSERT( num_faces == TopologyInfo::adjacent( HEXAHEDRON, 2 ) );
    CPPUNIT_ASSERT( num_edges == TopologyInfo::adjacent( HEXAHEDRON, 1 ) );
    CPPUNIT_ASSERT( num_verts == TopologyInfo::adjacent( HEXAHEDRON, 0 ) );

    CPPUNIT_ASSERT( num_faces == TopologyInfo::sides( HEXAHEDRON ) );
    CPPUNIT_ASSERT( num_verts == TopologyInfo::corners( HEXAHEDRON ) );
    CPPUNIT_ASSERT( num_edges == TopologyInfo::edges( HEXAHEDRON ) );
    CPPUNIT_ASSERT( num_faces == TopologyInfo::faces( HEXAHEDRON ) );

    const unsigned* side;
    unsigned i, count;
    const unsigned vert_per_face             = 4;
    unsigned edges[num_edges][2]             = { { 0, 1 }, { 1, 2 }, { 2, 3 }, { 3, 0 }, { 0, 4 }, { 1, 5 },
                                     { 2, 6 }, { 3, 7 }, { 4, 5 }, { 5, 6 }, { 6, 7 }, { 7, 4 } };
    unsigned faces[num_faces][vert_per_face] = { { 0, 1, 5, 4 }, { 1, 2, 6, 5 }, { 2, 3, 7, 6 },
                                                 { 3, 0, 4, 7 }, { 3, 2, 1, 0 }, { 4, 5, 6, 7 } };

    for( i = 0; i < num_edges; ++i )
    {
        side = TopologyInfo::edge_vertices( HEXAHEDRON, i, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( compare_edge( side, edges[i] ) );

        side = TopologyInfo::side_vertices( HEXAHEDRON, 1, i, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( 2 == count );
        CPPUNIT_ASSERT( compare_edge( side, edges[i] ) );
    }

    for( i = 0; i < num_faces; ++i )
    {
        side = TopologyInfo::face_vertices( HEXAHEDRON, i, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( count == vert_per_face );
        CPPUNIT_ASSERT( compare_face( vert_per_face, side, faces[i] ) );

        side = TopologyInfo::side_vertices( HEXAHEDRON, 2, i, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( count == vert_per_face );
        CPPUNIT_ASSERT( compare_face( vert_per_face, side, faces[i] ) );
    }

    side = TopologyInfo::side_vertices( HEXAHEDRON, 3, 0, count, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( count == num_verts );
    for( i = 0; i < num_verts; ++i )
        CPPUNIT_ASSERT( side[i] == i );
}

void TopologyInfoTest::hex8()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 8;

    TopologyInfo::higher_order( HEXAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( !vol );

    test_vol_elem( HEXAHEDRON, num_nodes, 8, 12, 6 );
}

void TopologyInfoTest::hex9()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 9;

    TopologyInfo::higher_order( HEXAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( vol );

    test_vol_elem( HEXAHEDRON, num_nodes, 8, 12, 6 );
}

void TopologyInfoTest::hex14()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 14;

    TopologyInfo::higher_order( HEXAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( face );
    CPPUNIT_ASSERT( !vol );

    test_vol_elem( HEXAHEDRON, num_nodes, 8, 12, 6 );
}

void TopologyInfoTest::hex15()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 15;

    TopologyInfo::higher_order( HEXAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( face );
    CPPUNIT_ASSERT( vol );

    test_vol_elem( HEXAHEDRON, num_nodes, 8, 12, 6 );
}

void TopologyInfoTest::hex20()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 20;

    TopologyInfo::higher_order( HEXAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( !vol );

    test_vol_elem( HEXAHEDRON, num_nodes, 8, 12, 6 );
}

void TopologyInfoTest::hex21()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 21;

    TopologyInfo::higher_order( HEXAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( vol );

    test_vol_elem( HEXAHEDRON, num_nodes, 8, 12, 6 );
}

void TopologyInfoTest::hex26()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 26;

    TopologyInfo::higher_order( HEXAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( face );
    CPPUNIT_ASSERT( !vol );

    test_vol_elem( HEXAHEDRON, num_nodes, 8, 12, 6 );
}

void TopologyInfoTest::hex27()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 27;

    TopologyInfo::higher_order( HEXAHEDRON, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( face );
    CPPUNIT_ASSERT( vol );

    test_vol_elem( HEXAHEDRON, num_nodes, 8, 12, 6 );
}

void TopologyInfoTest::pyramid()
{
    MsqPrintError err( cout );

    const unsigned num_verts = 5;
    const unsigned num_edges = 8;
    const unsigned num_faces = 5;
    CPPUNIT_ASSERT( 3 == TopologyInfo::dimension( PYRAMID ) );
    CPPUNIT_ASSERT( 1 == TopologyInfo::adjacent( PYRAMID, 3 ) );
    CPPUNIT_ASSERT( num_faces == TopologyInfo::adjacent( PYRAMID, 2 ) );
    CPPUNIT_ASSERT( num_edges == TopologyInfo::adjacent( PYRAMID, 1 ) );
    CPPUNIT_ASSERT( num_verts == TopologyInfo::adjacent( PYRAMID, 0 ) );

    CPPUNIT_ASSERT( num_faces == TopologyInfo::sides( PYRAMID ) );
    CPPUNIT_ASSERT( num_verts == TopologyInfo::corners( PYRAMID ) );
    CPPUNIT_ASSERT( num_edges == TopologyInfo::edges( PYRAMID ) );
    CPPUNIT_ASSERT( num_faces == TopologyInfo::faces( PYRAMID ) );

    const unsigned* side;
    unsigned i, count;
    const unsigned num_tri_faces  = 4;
    const unsigned num_quad_faces = 1;
    const bool tri_before_quad    = true;
    CPPUNIT_ASSERT( num_tri_faces + num_quad_faces == num_faces );
    unsigned edges[num_edges][2] = { { 0, 1 }, { 1, 2 }, { 2, 3 }, { 3, 0 }, { 0, 4 }, { 1, 4 }, { 2, 4 }, { 3, 4 } };
    unsigned tris[num_tri_faces][3]   = { { 0, 1, 4 }, { 1, 2, 4 }, { 2, 3, 4 }, { 3, 0, 4 } };
    unsigned quads[num_quad_faces][4] = { { 3, 2, 1, 0 } };

    for( i = 0; i < num_edges; ++i )
    {
        side = TopologyInfo::edge_vertices( PYRAMID, i, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( compare_edge( side, edges[i] ) );

        side = TopologyInfo::side_vertices( PYRAMID, 1, i, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( 2 == count );
        CPPUNIT_ASSERT( compare_edge( side, edges[i] ) );
    }

    const unsigned tri_off = num_quad_faces * !tri_before_quad;
    for( i = 0; i < num_tri_faces; ++i )
    {
        side = TopologyInfo::face_vertices( PYRAMID, i + tri_off, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( count == 3 );
        CPPUNIT_ASSERT( compare_face( 3, side, tris[i] ) );

        side = TopologyInfo::side_vertices( PYRAMID, 2, i + tri_off, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( count == 3 );
        CPPUNIT_ASSERT( compare_face( 3, side, tris[i] ) );
    }

    const unsigned quad_off = num_tri_faces * tri_before_quad;
    for( i = 0; i < num_quad_faces; ++i )
    {
        side = TopologyInfo::face_vertices( PYRAMID, i + quad_off, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( count == 4 );
        CPPUNIT_ASSERT( compare_face( 4, side, quads[i] ) );

        side = TopologyInfo::side_vertices( PYRAMID, 2, i + quad_off, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( count == 4 );
        CPPUNIT_ASSERT( compare_face( 4, side, quads[i] ) );
    }

    side = TopologyInfo::side_vertices( PYRAMID, 3, 0, count, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( count == num_verts );
    for( i = 0; i < num_verts; ++i )
        CPPUNIT_ASSERT( side[i] == i );
}

void TopologyInfoTest::pyramid5()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 5;

    TopologyInfo::higher_order( PYRAMID, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( !vol );

    test_vol_elem( PYRAMID, num_nodes, 5, 8, 5 );
}

void TopologyInfoTest::pyramid13()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 13;

    TopologyInfo::higher_order( PYRAMID, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( !vol );

    test_vol_elem( PYRAMID, num_nodes, 5, 8, 5 );
}

void TopologyInfoTest::wedge()
{
    MsqPrintError err( cout );

    const unsigned num_verts = 6;
    const unsigned num_edges = 9;
    const unsigned num_faces = 5;
    CPPUNIT_ASSERT( 3 == TopologyInfo::dimension( PRISM ) );
    CPPUNIT_ASSERT( 1 == TopologyInfo::adjacent( PRISM, 3 ) );
    CPPUNIT_ASSERT( num_faces == TopologyInfo::adjacent( PRISM, 2 ) );
    CPPUNIT_ASSERT( num_edges == TopologyInfo::adjacent( PRISM, 1 ) );
    CPPUNIT_ASSERT( num_verts == TopologyInfo::adjacent( PRISM, 0 ) );

    CPPUNIT_ASSERT( num_faces == TopologyInfo::sides( PRISM ) );
    CPPUNIT_ASSERT( num_verts == TopologyInfo::corners( PRISM ) );
    CPPUNIT_ASSERT( num_edges == TopologyInfo::edges( PRISM ) );
    CPPUNIT_ASSERT( num_faces == TopologyInfo::faces( PRISM ) );

    const unsigned* side;
    unsigned i, count;
    const unsigned num_tri_faces  = 2;
    const unsigned num_quad_faces = 3;
    const bool tri_before_quad    = false;
    CPPUNIT_ASSERT( num_tri_faces + num_quad_faces == num_faces );
    unsigned edges[num_edges][2]      = { { 0, 1 }, { 1, 2 }, { 2, 0 }, { 0, 3 }, { 1, 4 },
                                     { 2, 5 }, { 3, 4 }, { 4, 5 }, { 5, 3 } };
    unsigned tris[num_tri_faces][3]   = { { 2, 1, 0 }, { 3, 4, 5 } };
    unsigned quads[num_quad_faces][4] = { { 0, 1, 4, 3 }, { 1, 2, 5, 4 }, { 2, 0, 3, 5 } };

    for( i = 0; i < num_edges; ++i )
    {
        side = TopologyInfo::edge_vertices( PRISM, i, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( compare_edge( side, edges[i] ) );

        side = TopologyInfo::side_vertices( PRISM, 1, i, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( 2 == count );
        CPPUNIT_ASSERT( compare_edge( side, edges[i] ) );
    }

    const unsigned tri_off = num_quad_faces * !tri_before_quad;
    for( i = 0; i < num_tri_faces; ++i )
    {
        side = TopologyInfo::face_vertices( PRISM, i + tri_off, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( count == 3 );
        CPPUNIT_ASSERT( compare_face( 3, side, tris[i] ) );

        side = TopologyInfo::side_vertices( PRISM, 2, i + tri_off, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( count == 3 );
        CPPUNIT_ASSERT( compare_face( 3, side, tris[i] ) );
    }

    const unsigned quad_off = num_tri_faces * tri_before_quad;
    for( i = 0; i < num_quad_faces; ++i )
    {
        side = TopologyInfo::face_vertices( PRISM, i + quad_off, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( count == 4 );
        CPPUNIT_ASSERT( compare_face( 4, side, quads[i] ) );

        side = TopologyInfo::side_vertices( PRISM, 2, i + quad_off, count, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT( count == 4 );
        CPPUNIT_ASSERT( compare_face( 4, side, quads[i] ) );
    }

    side = TopologyInfo::side_vertices( PRISM, 3, 0, count, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( count == num_verts );
    for( i = 0; i < num_verts; ++i )
        CPPUNIT_ASSERT( side[i] == i );
}

void TopologyInfoTest::wedge6()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 6;

    TopologyInfo::higher_order( PRISM, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( !edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( !vol );

    test_vol_elem( PRISM, num_nodes, 6, 9, 5 );
}

void TopologyInfoTest::wedge15()
{
    MsqPrintError err( cout );
    bool edge, face, vol;
    const int num_nodes = 15;

    TopologyInfo::higher_order( PRISM, num_nodes, edge, face, vol, err );
    CPPUNIT_ASSERT( !err );
    CPPUNIT_ASSERT( edge );
    CPPUNIT_ASSERT( !face );
    CPPUNIT_ASSERT( !vol );

    test_vol_elem( PRISM, num_nodes, 6, 9, 5 );
}

void TopologyInfoTest::test_poly( EntityTopology topo )
{
    CPPUNIT_ASSERT( TopologyInfo::adjacent( topo, 1 ) == 0 );
    CPPUNIT_ASSERT( TopologyInfo::sides( topo ) == 0 );
    CPPUNIT_ASSERT( TopologyInfo::corners( topo ) == 0 );
    CPPUNIT_ASSERT( TopologyInfo::edges( topo ) == 0 );
    CPPUNIT_ASSERT( TopologyInfo::faces( topo ) == 0 );
}

void TopologyInfoTest::polygon()
{
    CPPUNIT_ASSERT( TopologyInfo::dimension( POLYGON ) == 2 );
    test_poly( POLYGON );
}

void TopologyInfoTest::polyhedron()
{
    CPPUNIT_ASSERT( TopologyInfo::dimension( POLYHEDRON ) == 3 );
    test_poly( POLYHEDRON );
}

void TopologyInfoTest::bad_type()
{
    MBMesquite::MsqError err;
    EntityTopology bad_types[] = { (EntityTopology)0, (EntityTopology)1, MIXED, (EntityTopology)( MIXED + 1 ) };

    for( unsigned i = 0; i < ( sizeof( bad_types ) / sizeof( EntityTopology ) ); ++i )
    {
        CPPUNIT_ASSERT( TopologyInfo::dimension( bad_types[i] ) == 0 );
        CPPUNIT_ASSERT( TopologyInfo::adjacent( bad_types[i], 1 ) == 0 );
        CPPUNIT_ASSERT( TopologyInfo::sides( bad_types[i] ) == 0 );
        CPPUNIT_ASSERT( TopologyInfo::corners( bad_types[i] ) == 0 );
        CPPUNIT_ASSERT( TopologyInfo::edges( bad_types[i] ) == 0 );
        CPPUNIT_ASSERT( TopologyInfo::faces( bad_types[i] ) == 0 );

        bool a, b, c;
        TopologyInfo::higher_order( bad_types[i], 20, a, b, c, err );
        CPPUNIT_ASSERT( err );

        const unsigned* ptr;
        ptr = TopologyInfo::edge_vertices( bad_types[i], 0, err );
        CPPUNIT_ASSERT( err );

        unsigned count;
        ptr = TopologyInfo::face_vertices( bad_types[i], 0, count, err );
        CPPUNIT_ASSERT( err );

        for( unsigned j = 0; j < 4; ++j )
        {
            ptr = TopologyInfo::side_vertices( bad_types[i], j, 0, count, err );
            CPPUNIT_ASSERT( err );
        }

        unsigned dim, side;
        for( unsigned idx = 0; idx < 20; ++idx )
        {
            TopologyInfo::side_number( bad_types[i], idx, idx / 2, dim, side, err );
            CPPUNIT_ASSERT( err );
        }
    }
}

void TopologyInfoTest::tri_adj_vert()
{
    unsigned data[][5] = { { 2, 1, 2, 0, 0 }, { 2, 2, 0, 0, 0 }, { 2, 0, 1, 0, 0 } };
    test_adj( MBMesquite::TRIANGLE, data );
}

void TopologyInfoTest::quad_adj_vert()
{
    unsigned data[][5] = { { 2, 1, 3, 0, 0 }, { 2, 2, 0, 0, 0 }, { 2, 3, 1, 0, 0 }, { 2, 0, 2, 0, 0 } };
    test_adj( MBMesquite::QUADRILATERAL, data );
}

void TopologyInfoTest::tet_adj_vert()
{
    unsigned data[][5] = { { 3, 1, 2, 3, 0 }, { 3, 2, 0, 3, 0 }, { 3, 0, 1, 3, 0 }, { 3, 2, 1, 0, 0 } };
    test_adj( MBMesquite::TETRAHEDRON, data );
}

void TopologyInfoTest::hex_adj_vert()
{
    unsigned data[][5] = { { 3, 1, 3, 4, 0 }, { 3, 2, 0, 5, 0 }, { 3, 3, 1, 6, 0 }, { 3, 0, 2, 7, 0 },
                           { 3, 7, 5, 0, 0 }, { 3, 4, 6, 1, 0 }, { 3, 5, 7, 2, 0 }, { 3, 6, 4, 3, 0 } };
    test_adj( MBMesquite::HEXAHEDRON, data );
}

void TopologyInfoTest::pyr_adj_vert()
{
    unsigned data[][5] = {
        { 3, 1, 3, 4, 0 }, { 3, 2, 0, 4, 0 }, { 3, 3, 1, 4, 0 }, { 3, 0, 2, 4, 0 }, { 4, 3, 2, 1, 0 } };
    test_adj( MBMesquite::PYRAMID, data );
}

void TopologyInfoTest::wdg_adj_vert()
{
    unsigned data[][5] = { { 3, 1, 2, 3, 0 }, { 3, 2, 0, 4, 0 }, { 3, 0, 1, 5, 0 },
                           { 3, 5, 4, 0, 0 }, { 3, 3, 5, 1, 0 }, { 3, 4, 3, 2, 0 } };
    test_adj( MBMesquite::PRISM, data );
}

void TopologyInfoTest::test_adj( MBMesquite::EntityTopology type, const unsigned data[][5] )
{
    // Get num vertices from type
    unsigned n = TopologyInfo::corners( type );
    CPPUNIT_ASSERT( n > 0 );

    // The first index into data is the vertex.
    // Each column of "data", indexed by vertex, is a
    // vector containing the number of adjacent vertices
    // followed by the list if adjacent vertex indices.

    // for each vertex
    for( unsigned i = 0; i < n; ++i )
    {
        // Get the data corresponding to this vertex of the element
        unsigned const* corner  = data[i];
        unsigned expected_count = corner[0];
        // Query TopologyInfo for the same data
        unsigned actual_count;
        unsigned const* actual_adj = TopologyInfo::adjacent_vertices( type, i, actual_count );
        // Check result is valid and counts match
        CPPUNIT_ASSERT( actual_adj != NULL );
        CPPUNIT_ASSERT( expected_count == actual_count );

        // For 3-D elements, returned vertices are expected to be oriented
        // such that  a face bounded by the vertices in the counter-clockwise
        // order will have a normal pointing away from the input vertex.
        // So the vertices must be in a certain order, but may begin with
        // any of the adjacent vertices.

        // Find the location in the result list at which the first
        // vertex in the expected list occurs.
        unsigned j;
        for( j = 0; j < actual_count; ++j )
            if( corner[1] == actual_adj[j] ) break;
        // Asssert that the first expected vertex was somewhere in
        // the result list.
        CPPUNIT_ASSERT( j < actual_count );
        // Compare the remaining vertices, enforcing the order.
        for( unsigned k = 1; k < actual_count; ++k )
            CPPUNIT_ASSERT( corner[k + 1] == actual_adj[( k + j ) % actual_count] );
    }
}

void TopologyInfoTest::test_rev_adj( MBMesquite::EntityTopology type )
{
    // Get num vertices from type
    unsigned n = TopologyInfo::corners( type );
    CPPUNIT_ASSERT( n > 0 );

    // for each vertex
    for( unsigned i = 0; i < n; ++i )
    {
        // get adjacent vertex list
        unsigned num_adj_idx;
        unsigned const* adj_idx = TopologyInfo::adjacent_vertices( type, i, num_adj_idx );
        CPPUNIT_ASSERT( adj_idx != NULL );
        CPPUNIT_ASSERT( num_adj_idx > 1 );

        // make sure adjacent vertex list is unique
        std::vector< unsigned > adj_idx_copy( num_adj_idx );
        std::copy( adj_idx, adj_idx + num_adj_idx, adj_idx_copy.begin() );
        std::sort( adj_idx_copy.begin(), adj_idx_copy.end() );
        std::vector< unsigned >::iterator iter;
        iter = std::unique( adj_idx_copy.begin(), adj_idx_copy.end() );
        CPPUNIT_ASSERT( iter == adj_idx_copy.end() );

        // Get reverse mapping indices
        unsigned num_rev_idx;
        unsigned const* rev_idx = TopologyInfo::reverse_vertex_adjacency_offsets( type, i, num_rev_idx );
        CPPUNIT_ASSERT( rev_idx != NULL );
        CPPUNIT_ASSERT( num_rev_idx == num_adj_idx );

        // for each adjacent vertex, test reverse mapping
        for( unsigned j = 0; j < num_adj_idx; ++j )
        {
            unsigned num_adj_adj_idx;
            unsigned const* adj_adj_idx = TopologyInfo::adjacent_vertices( type, adj_idx[j], num_adj_adj_idx );

            CPPUNIT_ASSERT( rev_idx[j] < num_adj_adj_idx );
            CPPUNIT_ASSERT( adj_adj_idx[rev_idx[j]] == i );
        }
    }
}

struct ho_result
{
    unsigned dim;
    unsigned num;
    unsigned idx;
};

const ho_result HEX27[] = { { 1, 0, 8 },   { 1, 1, 9 },   { 1, 2, 10 }, { 1, 3, 11 }, { 1, 4, 12 },
                            { 1, 5, 13 },  { 1, 6, 14 },  { 1, 7, 15 }, { 1, 8, 16 }, { 1, 9, 17 },
                            { 1, 10, 18 }, { 1, 11, 19 }, { 2, 0, 20 }, { 2, 1, 21 }, { 2, 2, 22 },
                            { 2, 3, 23 },  { 2, 4, 24 },  { 2, 5, 25 }, { 3, 0, 26 } };

const ho_result* const HEX20 = HEX27;
const ho_result* const HEX26 = HEX27;

const ho_result HEX15[] = { { 2, 0, 8 },  { 2, 1, 9 },  { 2, 2, 10 }, { 2, 3, 11 },
                            { 2, 4, 12 }, { 2, 5, 13 }, { 3, 0, 14 } };

const ho_result* const HEX14 = HEX15;

const ho_result HEX9[] = { { 3, 0, 8 } };

void TopologyInfoTest::higher_order_from_side()
{
    MsqPrintError err( std::cerr );
    // HEX-27
    for( unsigned i = 0; i < 19; ++i )
    {
        unsigned result = TopologyInfo::higher_order_from_side( HEXAHEDRON, 27, HEX27[i].dim, HEX27[i].num, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT_EQUAL( HEX27[i].idx, result );
    }
    // HEX-26
    for( unsigned i = 0; i < 18; ++i )
    {
        unsigned result = TopologyInfo::higher_order_from_side( HEXAHEDRON, 26, HEX26[i].dim, HEX26[i].num, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT_EQUAL( HEX26[i].idx, result );
    }
    // HEX-20
    for( unsigned i = 0; i < 12; ++i )
    {
        unsigned result = TopologyInfo::higher_order_from_side( HEXAHEDRON, 20, HEX20[i].dim, HEX20[i].num, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT_EQUAL( HEX20[i].idx, result );
    }
    // HEX-15
    for( unsigned i = 0; i < 7; ++i )
    {
        unsigned result = TopologyInfo::higher_order_from_side( HEXAHEDRON, 15, HEX15[i].dim, HEX15[i].num, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT_EQUAL( HEX15[i].idx, result );
    }
    // HEX-14
    for( unsigned i = 0; i < 6; ++i )
    {
        unsigned result = TopologyInfo::higher_order_from_side( HEXAHEDRON, 14, HEX14[i].dim, HEX14[i].num, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT_EQUAL( HEX14[i].idx, result );
    }
    // HEX-9
    for( unsigned i = 0; i < 1; ++i )
    {
        unsigned result = TopologyInfo::higher_order_from_side( HEXAHEDRON, 9, HEX9[i].dim, HEX9[i].num, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT_EQUAL( HEX9[i].idx, result );
    }
}

void TopologyInfoTest::side_from_higher_order()
{
    MsqPrintError err( std::cerr );
    unsigned dim, num;
    // HEX-27
    for( unsigned i = 0; i < 19; ++i )
    {
        TopologyInfo::side_from_higher_order( HEXAHEDRON, 27, HEX27[i].idx, dim, num, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT_EQUAL( HEX27[i].dim, dim );
        CPPUNIT_ASSERT_EQUAL( HEX27[i].num, num );
    }
    // HEX-26
    for( unsigned i = 0; i < 18; ++i )
    {
        TopologyInfo::side_from_higher_order( HEXAHEDRON, 26, HEX26[i].idx, dim, num, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT_EQUAL( HEX26[i].dim, dim );
        CPPUNIT_ASSERT_EQUAL( HEX26[i].num, num );
    }
    // HEX-20
    for( unsigned i = 0; i < 12; ++i )
    {
        TopologyInfo::side_from_higher_order( HEXAHEDRON, 20, HEX20[i].idx, dim, num, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT_EQUAL( HEX20[i].dim, dim );
        CPPUNIT_ASSERT_EQUAL( HEX20[i].num, num );
    }
    // HEX-15
    for( unsigned i = 0; i < 7; ++i )
    {
        TopologyInfo::side_from_higher_order( HEXAHEDRON, 15, HEX15[i].idx, dim, num, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT_EQUAL( HEX15[i].dim, dim );
        CPPUNIT_ASSERT_EQUAL( HEX15[i].num, num );
    }
    // HEX-14
    for( unsigned i = 0; i < 6; ++i )
    {
        TopologyInfo::side_from_higher_order( HEXAHEDRON, 14, HEX14[i].idx, dim, num, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT_EQUAL( HEX14[i].dim, dim );
        CPPUNIT_ASSERT_EQUAL( HEX14[i].num, num );
    }
    // HEX-9
    for( unsigned i = 0; i < 1; ++i )
    {
        TopologyInfo::side_from_higher_order( HEXAHEDRON, 9, HEX9[i].idx, dim, num, err );
        CPPUNIT_ASSERT( !err );
        CPPUNIT_ASSERT_EQUAL( HEX9[i].dim, dim );
        CPPUNIT_ASSERT_EQUAL( HEX9[i].num, num );
    }
}

void TopologyInfoTest::find_edge()
{
    MsqPrintError err( std::cerr );
    bool reversed;

    EntityTopology types[]   = { TRIANGLE, QUADRILATERAL, TETRAHEDRON, HEXAHEDRON, PRISM, PYRAMID };
    const unsigned num_types = sizeof( types ) / sizeof( types[0] );
    unsigned idx;
    for( unsigned t = 0; t < num_types; ++t )
    {
        const EntityTopology type = types[t];

        for( unsigned e = 0; e < TopologyInfo::edges( type ); ++e )
        {

            const unsigned* const v = TopologyInfo::edge_vertices( type, e, err );
            CPPUNIT_ASSERT( !err );
            idx = TopologyInfo::find_edge( type, v, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( e, idx );
            CPPUNIT_ASSERT( !reversed );

            const unsigned switched[2] = { v[1], v[0] };
            idx                        = TopologyInfo::find_edge( type, switched, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( e, idx );
            CPPUNIT_ASSERT( reversed );
        }
    }
}

static void shift( const unsigned* in, unsigned* out, unsigned size, unsigned offset )
{
    for( unsigned i = 0; i < size; ++i )
        out[i] = in[( i + offset ) % size];
}

static void reverse( const unsigned* in, unsigned* out, unsigned size, unsigned offset )
{
    for( unsigned i = 0; i < size; ++i )
        out[i] = in[( offset + size - i - 1 ) % size];
}

void TopologyInfoTest::find_face()
{
    MsqPrintError err( std::cerr );
    bool reversed;
    unsigned switched[4], idx;

    EntityTopology types[]   = { TETRAHEDRON, HEXAHEDRON, PRISM, PYRAMID };
    const unsigned num_types = sizeof( types ) / sizeof( types[0] );
    for( unsigned t = 0; t < num_types; ++t )
    {
        const EntityTopology type = types[t];

        for( unsigned f = 0; f < TopologyInfo::faces( type ); ++f )
        {

            unsigned n;
            const unsigned* const v = TopologyInfo::face_vertices( type, f, n, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT( n == 3 || n == 4 );

            idx = TopologyInfo::find_face( type, v, n, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( f, idx );
            CPPUNIT_ASSERT( !reversed );

            // advance by 1 and try again
            shift( v, switched, n, 1 );
            idx = TopologyInfo::find_face( type, switched, n, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( f, idx );
            CPPUNIT_ASSERT( !reversed );

            // advance by 2 and try again
            shift( v, switched, n, 2 );
            idx = TopologyInfo::find_face( type, switched, n, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( f, idx );
            CPPUNIT_ASSERT( !reversed );

            // advance by 3 and try again
            shift( v, switched, n, 3 );
            idx = TopologyInfo::find_face( type, switched, n, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( f, idx );
            CPPUNIT_ASSERT( !reversed );

            // reverse and try again
            reverse( v, switched, n, 0 );
            idx = TopologyInfo::find_face( type, switched, n, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( f, idx );
            CPPUNIT_ASSERT( reversed );

            // reverse, advance by 1 and try again
            reverse( v, switched, n, 1 );
            idx = TopologyInfo::find_face( type, switched, n, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( f, idx );
            CPPUNIT_ASSERT( reversed );

            // reverse, advance by 2 and try again
            reverse( v, switched, n, 2 );
            idx = TopologyInfo::find_face( type, switched, n, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( f, idx );
            CPPUNIT_ASSERT( reversed );

            // reverse, advance by 3 and try again
            reverse( v, switched, n, 3 );
            idx = TopologyInfo::find_face( type, switched, n, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( f, idx );
            CPPUNIT_ASSERT( reversed );
        }
    }
}

void TopologyInfoTest::find_side()
{
    MsqPrintError err( std::cerr );
    bool reversed;
    unsigned i, dim, switched[4];

    EntityTopology types[]   = { TRIANGLE, QUADRILATERAL, TETRAHEDRON, HEXAHEDRON, PRISM, PYRAMID };
    const unsigned num_types = sizeof( types ) / sizeof( types[0] );
    for( unsigned t = 0; t < num_types; ++t )
    {
        const EntityTopology type = types[t];

        for( unsigned e = 0; e < TopologyInfo::edges( type ); ++e )
        {

            const unsigned* const v = TopologyInfo::edge_vertices( type, e, err );
            CPPUNIT_ASSERT( !err );
            TopologyInfo::find_side( type, v, 2, dim, i, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( e, i );
            CPPUNIT_ASSERT_EQUAL( 1u, dim );
            CPPUNIT_ASSERT( !reversed );

            switched[0] = v[1];
            switched[1] = v[0];
            TopologyInfo::find_side( type, switched, 2, dim, i, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( e, i );
            CPPUNIT_ASSERT_EQUAL( 1u, dim );
            CPPUNIT_ASSERT( reversed );
        }
    }

    for( unsigned t = 2; t < num_types; ++t )
    {
        const EntityTopology type = types[t];

        for( unsigned f = 0; f < TopologyInfo::faces( type ); ++f )
        {

            unsigned n;
            const unsigned* const v = TopologyInfo::face_vertices( type, f, n, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT( n == 3 || n == 4 );

            TopologyInfo::find_side( type, v, n, dim, i, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( f, i );
            CPPUNIT_ASSERT_EQUAL( 2u, dim );
            CPPUNIT_ASSERT( !reversed );

            // reverse and try again
            reverse( v, switched, n, 0 );
            TopologyInfo::find_side( type, switched, n, dim, i, reversed, err );
            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( f, i );
            CPPUNIT_ASSERT_EQUAL( 2u, dim );
            CPPUNIT_ASSERT( reversed );
        }
    }
}

void TopologyInfoTest::compare_sides()
{
    // define two hexes sharing a face:
    //    6-------7-------8
    //   /|      /|      /|
    //  0-------1-------2 |
    //  | |     | |     | |
    //  | 9-----|-10----|-11
    //  |/      |/      |/
    //  3-------4-------5

    const size_t hex1[] = { 3, 4, 10, 9, 0, 1, 7, 6 };
    const size_t hex2[] = { 4, 5, 11, 10, 1, 2, 8, 7 };
    // shared edges: { hex1_edge, hex2_edge }
    const unsigned edges[][2] = { { 1, 3 }, { 5, 4 }, { 6, 7 }, { 9, 11 } };
    const unsigned num_edges  = sizeof( edges ) / sizeof( edges[0] );
    // shared faces: { hex1_face, hex2_face }
    const unsigned faces[][2] = { { 1, 3 } };
    const unsigned num_faces  = sizeof( faces ) / sizeof( faces[0] );

    MsqPrintError err( std::cerr );

    // try every possible edge combination
    for( unsigned e1 = 0; e1 < 12; ++e1 )
    {
        unsigned match;
        for( match = 0; match < num_edges; ++match )
            if( edges[match][0] == e1 ) break;

        for( unsigned e2 = 0; e2 < 12; ++e2 )
        {
            const bool expected = ( match < num_edges ) && ( edges[match][1] == e2 );

            const bool result = TopologyInfo::compare_sides( hex1, HEXAHEDRON, e1, hex2, HEXAHEDRON, e2, 1, err );

            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( expected, result );
        }
    }

    // try every possible face combination
    for( unsigned f1 = 0; f1 < 6; ++f1 )
    {
        unsigned match;
        for( match = 0; match < num_faces; ++match )
            if( faces[match][0] == f1 ) break;

        for( unsigned f2 = 0; f2 < 6; ++f2 )
        {
            const bool expected = ( match < num_faces ) && ( faces[match][1] == f2 );

            const bool result = TopologyInfo::compare_sides( hex1, HEXAHEDRON, f1, hex2, HEXAHEDRON, f2, 2, err );

            CPPUNIT_ASSERT( !err );
            CPPUNIT_ASSERT_EQUAL( expected, result );
        }
    }
}