LVQDTargetTest.cpp

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

    Copyright 2006 Sandia National Laboratories.  Developed at the
    University of Wisconsin--Madison under SNL contract number
    624796.  The U.S. Government and the University of Wisconsin
    retian certain rights to 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

    (2006) [email protected]

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

/** \file LVQDTargetTest.cpp
 *  \brief unit tests for LVQDTargetCalculator class
 *  \author Jason Kraftcheck
 */

#include "Mesquite.hpp"
#include "LVQDTargetCalculator.hpp"
#include "MsqError.hpp"
#include "PatchData.hpp"
#include "UnitUtil.hpp"
#include "PatchDataInstances.hpp"

#include <iostream>

using namespace MBMesquite;

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

    // Test that LVQDTargetCalculator accepts a NULL component
    // and treats the corresponding value as I
    CPPUNIT_TEST( test_LVQD_default_is_I_2D );
    CPPUNIT_TEST( test_LVQD_default_is_I_surface );
    CPPUNIT_TEST( test_LVQD_default_is_I_3D );
    // Test that LVQDTargetCalculator returns the product of
    // its components.
    CPPUNIT_TEST( test_LVQD_product_2D );
    CPPUNIT_TEST( test_LVQD_product_surface );
    CPPUNIT_TEST( test_LVQD_product_3D );

    CPPUNIT_TEST_SUITE_END();

    // Define a few pre-factored matrices to use in tests.
    // Initialized by SetUp() method.
    MsqMatrix< 3, 3 > V3D_Z45, V3D_X90, Q3D_45, D3D_123, I33;
    MsqMatrix< 3, 2 > V2D_Z45, V2D_X90, I32;
    MsqMatrix< 2, 2 > Q2D_45, D2D_21, I22;
    // PatchDatas for use in calls to 2D or 3D versions of functions.
    PatchData pd2D, pd3D;

    // Use LVQDTargetCalculator to calculate the product of the passed values.
    MsqMatrix< 3, 2 > target( const double* L,
                              const MsqMatrix< 3, 2 >* V,
                              const MsqMatrix< 2, 2 >* Q,
                              const MsqMatrix< 2, 2 >* D );
    // Use LVQDTargetCalculator to calculate the product of the passed values.
    MsqMatrix< 2, 2 > target( const double* L, const MsqMatrix< 2, 2 >* Q, const MsqMatrix< 2, 2 >* D );
    // Use LVQDTargetCalculator to calculate the product of the passed values.
    MsqMatrix< 3, 3 > target( const double* L,
                              const MsqMatrix< 3, 3 >* V,
                              const MsqMatrix< 3, 3 >* Q,
                              const MsqMatrix< 3, 3 >* D );

  public:
    void setUp();

    // Test that LVQDTargetCalculator accepts a NULL component
    // and treats the corresponding value as I
    void test_LVQD_default_is_I_2D();
    void test_LVQD_default_is_I_3D();
    void test_LVQD_default_is_I_surface();
    // Test that LVQDTargetCalculator returns the product of
    // its components.
    void test_LVQD_product_2D();
    void test_LVQD_product_3D();
    void test_LVQD_product_surface();

    // Helper class: return constant values for target matrices.
    class ConstantTarget : public TargetCalculator
    {
      private:
        MsqMatrix< 3, 3 > target3D;
        MsqMatrix< 3, 2 > targetSurf;
        MsqMatrix< 2, 2 > target2D;
        bool have3D, haveSurf, have2D;
        bool flagError;

      public:
        ConstantTarget( MsqMatrix< 3, 3 > val3D, MsqMatrix< 3, 2 > val2D )
            : target3D( val3D ), targetSurf( val2D ), have3D( true ), haveSurf( true ), have2D( false )
        {
        }
        ConstantTarget( MsqMatrix< 3, 3 > val3D, MsqMatrix< 2, 2 > val2D )
            : target3D( val3D ), target2D( val2D ), have3D( true ), haveSurf( false ), have2D( true )
        {
        }
        ConstantTarget( double C, bool surf )
            : target3D( C ), targetSurf( C ), target2D( C ), have3D( true ), haveSurf( surf ), have2D( !surf )
        {
        }
        ConstantTarget( MsqMatrix< 3, 3 > val3D )
            : target3D( val3D ), target2D( 0.0 ), have3D( true ), haveSurf( false ), have2D( false )
        {
        }
        ConstantTarget( MsqMatrix< 3, 2 > val2D )
            : targetSurf( val2D ), have3D( false ), haveSurf( true ), have2D( false )
        {
        }
        ConstantTarget( MsqMatrix< 2, 2 > val2D )
            : target2D( val2D ), have3D( false ), haveSurf( false ), have2D( true )
        {
        }

        virtual bool get_3D_target( PatchData&, size_t, Sample, MsqMatrix< 3, 3 >& result, MsqError& err )
        {
            CPPUNIT_ASSERT( have3D );
            result = target3D;
            return have3D;
        }

        virtual bool get_surface_target( PatchData&, size_t, Sample, MsqMatrix< 3, 2 >& result, MsqError& err )
        {
            CPPUNIT_ASSERT( haveSurf );
            result = targetSurf;
            return haveSurf;
        }

        virtual bool get_2D_target( PatchData&, size_t, Sample, MsqMatrix< 2, 2 >& result, MsqError& err )
        {
            CPPUNIT_ASSERT( have2D );
            result = target2D;
            return have2D;
        }

        virtual bool have_surface_orient() const
        {
            return haveSurf;
        }
    };

    // Helper class: return 'invalid' for target matrices, and
    // optionally flag an error.
    class TargetError : public TargetCalculator
    {
        bool flagError;
        bool surfOrient;

      public:
        TargetError( bool flag_error = true, bool orient = false ) : flagError( flag_error ), surfOrient( orient ) {}

        bool get_3D_target( PatchData&, size_t, Sample, MsqMatrix< 3, 3 >&, MsqError& err )
        {
            if( flagError ) MSQ_SETERR( err )( MsqError::INVALID_MESH );
            return false;
        }

        bool get_2D_target( PatchData&, size_t, Sample, MsqMatrix< 2, 2 >&, MsqError& err )
        {
            if( flagError ) MSQ_SETERR( err )( MsqError::INVALID_MESH );
            return false;
        }

        bool get_surface_target( PatchData&, size_t, Sample, MsqMatrix< 3, 2 >&, MsqError& err )
        {
            if( flagError ) MSQ_SETERR( err )( MsqError::INVALID_MESH );
            return false;
        }

        virtual bool have_surface_orient() const
        {
            return surfOrient;
        }
    };
};

CPPUNIT_TEST_SUITE_NAMED_REGISTRATION( LVQDTargetTest, "LVQDTargetTest" );
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION( LVQDTargetTest, "Unit" );

void LVQDTargetTest::setUp()
{
    const double cos45              = MSQ_SQRT_TWO / 2.0;
    const double rotation_3D_Z45[9] = { cos45, -cos45, 0, cos45, cos45, 0, 0, 0, 1 };
    const double rotation_2D_Z45[6] = { cos45, -cos45, cos45, cos45, 0, 0 };

    const double rotation_3D_X90[9] = { 1, 0, 0, 0, 0, -1, 0, 1, 0 };
    const double rotation_2D_X90[6] = { 1, 0, 0, 0, 0, 1 };

    const double rc45          = sqrt( cos45 );
    const double skew_2D_45[4] = { 1 / rc45, rc45, 0, rc45 };
    const double skew_3D_45[9] = { 1, cos45, cos45, 0, cos45, 1 - cos45, 0, 0, sqrt( MSQ_SQRT_TWO - 1 ) };

    const double aspect_2D_2x[4]  = { MSQ_SQRT_TWO, 0, 0, MSQ_SQRT_TWO / 2 };
    const double r6               = MBMesquite::cbrt( 1.0 / 6.0 );
    const double aspect_3D_123[9] = { r6, 0, 0, 0, 2 * r6, 0, 0, 0, 3 * r6 };

    V3D_Z45 = MsqMatrix< 3, 3 >( rotation_3D_Z45 );
    V3D_X90 = MsqMatrix< 3, 3 >( rotation_3D_X90 );
    Q3D_45  = MsqMatrix< 3, 3 >( skew_3D_45 );
    Q3D_45 *= 1 / Mesquite::cbrt( det( Q3D_45 ) );
    D3D_123 = MsqMatrix< 3, 3 >( aspect_3D_123 );

    V2D_Z45 = MsqMatrix< 3, 2 >( rotation_2D_Z45 );
    V2D_X90 = MsqMatrix< 3, 2 >( rotation_2D_X90 );
    Q2D_45  = MsqMatrix< 2, 2 >( skew_2D_45 );
    D2D_21  = MsqMatrix< 2, 2 >( aspect_2D_2x );

    I33 = MsqMatrix< 3, 3 >( 1.0 );
    I32 = MsqMatrix< 3, 2 >( 1.0 );
    I22 = MsqMatrix< 2, 2 >( 1.0 );

    MsqError err;
    create_one_tet_patch( pd3D, err );
    ASSERT_NO_ERROR( err );
    create_one_tri_patch( pd2D, err );
    ASSERT_NO_ERROR( err );
};

MsqMatrix< 3, 2 > LVQDTargetTest::target( const double* L,
                                          const MsqMatrix< 3, 2 >* V,
                                          const MsqMatrix< 2, 2 >* Q,
                                          const MsqMatrix< 2, 2 >* D )
{
    ConstantTarget W_size( L ? *L : 1.0, true );
    ConstantTarget W_orient( V ? *V : I32 );
    ConstantTarget W_skew( Q ? *Q : I22 );
    ConstantTarget W_aspect( D ? *D : I22 );
    LVQDTargetCalculator LVQD( L ? &W_size : NULL, V ? &W_orient : NULL, Q ? &W_skew : NULL, D ? &W_aspect : NULL );
    MsqError err;
    MsqMatrix< 3, 2 > W;
    bool v;
    if( !V )
    {
        MsqMatrix< 2, 2 > W_2D;
        v = LVQD.get_2D_target( pd2D, 0, Sample( 0, 0 ), W_2D, err );
        W.set_row( 0, W_2D.row( 0 ) );
        W.set_row( 1, W_2D.row( 1 ) );
        W.set_row( 2, MsqMatrix< 1, 2 >( 0.0 ) );
    }
    else
    {
        v = LVQD.get_surface_target( pd2D, 0, Sample( 0, 0 ), W, err );
    }
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT( v );
    return W;
}

MsqMatrix< 2, 2 > LVQDTargetTest::target( const double* L, const MsqMatrix< 2, 2 >* Q, const MsqMatrix< 2, 2 >* D )
{
    ConstantTarget W_size( L ? *L : 1.0, false );
    ConstantTarget W_skew( Q ? *Q : I22 );
    ConstantTarget W_aspect( D ? *D : I22 );
    LVQDTargetCalculator LVQD( L ? &W_size : NULL, NULL, Q ? &W_skew : NULL, D ? &W_aspect : NULL );
    MsqError err;
    MsqMatrix< 2, 2 > W;
    bool v = LVQD.get_2D_target( pd2D, 0, Sample( 0, 0 ), W, err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT( v );
    return W;
}

MsqMatrix< 3, 3 > LVQDTargetTest::target( const double* L,
                                          const MsqMatrix< 3, 3 >* V,
                                          const MsqMatrix< 3, 3 >* Q,
                                          const MsqMatrix< 3, 3 >* D )
{
    ConstantTarget W_size( L ? *L : 1.0, true );
    ConstantTarget W_orient( V ? *V : I33 );
    ConstantTarget W_skew( Q ? *Q : I33 );
    ConstantTarget W_aspect( D ? *D : I33 );
    LVQDTargetCalculator LVQD( L ? &W_size : NULL, V ? &W_orient : NULL, Q ? &W_skew : NULL, D ? &W_aspect : NULL );
    MsqError err;
    MsqMatrix< 3, 3 > W;
    bool v = LVQD.get_3D_target( pd3D, 0, Sample( 0, 0 ), W, err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT( v );
    return W;
}

void LVQDTargetTest::test_LVQD_default_is_I_2D()
{
    double s = 3.2;
    ASSERT_MATRICES_EQUAL( I22, target( 0, 0, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( ( MsqMatrix< 2, 2 >( s ) ), target( &s, 0, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( Q2D_45, target( 0, &Q2D_45, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( D2D_21, target( 0, 0, &D2D_21 ), 1e-8 );
}

void LVQDTargetTest::test_LVQD_default_is_I_surface()
{
    double s                  = 3.2;
    MsqMatrix< 3, 2 >* null_V = 0;
    ASSERT_MATRICES_EQUAL( I32, target( 0, null_V, 0, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( ( MsqMatrix< 3, 2 >( s ) ), target( &s, null_V, 0, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( V2D_Z45, target( 0, &V2D_Z45, 0, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( s * V2D_Z45, target( &s, &V2D_Z45, 0, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( V2D_Z45 * Q2D_45, target( 0, &V2D_Z45, &Q2D_45, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( V2D_Z45 * D2D_21, target( 0, &V2D_Z45, 0, &D2D_21 ), 1e-8 );
}

void LVQDTargetTest::test_LVQD_default_is_I_3D()
{
    double s                  = 2.6;
    MsqMatrix< 3, 3 >* null_V = 0;
    ASSERT_MATRICES_EQUAL( I33, target( 0, null_V, 0, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( ( MsqMatrix< 3, 3 >( s ) ), target( &s, null_V, 0, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( V3D_Z45, target( 0, &V3D_Z45, 0, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( s * V3D_Z45, target( &s, &V3D_Z45, 0, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( V3D_Z45 * Q3D_45, target( 0, &V3D_Z45, &Q3D_45, 0 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( V3D_Z45 * D3D_123, target( 0, &V3D_Z45, 0, &D3D_123 ), 1e-8 );
}

void LVQDTargetTest::test_LVQD_product_2D()
{
    double s = 3.2;
    double o = 1.0;
    ASSERT_MATRICES_EQUAL( I22, target( &o, &I22, &I22 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( ( MsqMatrix< 2, 2 >( s ) ), target( &s, &I22, &I22 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( Q2D_45, target( &o, &Q2D_45, &I22 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( D2D_21, target( &o, &I22, &D2D_21 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( s * Q2D_45 * D2D_21, target( &s, &Q2D_45, &D2D_21 ), 1e-8 );
}

void LVQDTargetTest::test_LVQD_product_surface()
{
    double s = 3.2;
    double o = 1.0;
    ASSERT_MATRICES_EQUAL( I32, target( &o, &I32, &I22, &I22 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( ( MsqMatrix< 3, 2 >( s ) ), target( &s, &I32, &I22, &I22 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( V2D_Z45, target( &o, &V2D_Z45, &I22, &I22 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( s * V2D_Z45, target( &s, &V2D_Z45, &I22, &I22 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( V2D_Z45 * Q2D_45, target( &o, &V2D_Z45, &Q2D_45, &I22 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( V2D_Z45 * D2D_21, target( &o, &V2D_Z45, &I22, &D2D_21 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( s * V2D_Z45 * Q2D_45 * D2D_21, target( &s, &V2D_Z45, &Q2D_45, &D2D_21 ), 1e-8 );
}

void LVQDTargetTest::test_LVQD_product_3D()
{
    double s = 2.6;
    double o = 1.0;
    ASSERT_MATRICES_EQUAL( I33, target( &o, &I33, &I33, &I33 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( ( MsqMatrix< 3, 3 >( s ) ), target( &s, &I33, &I33, &I33 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( V3D_Z45, target( &o, &V3D_Z45, &I33, &I33 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( s * V3D_Z45, target( &s, &V3D_Z45, &I33, &I33 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( V3D_Z45 * Q3D_45, target( &o, &V3D_Z45, &Q3D_45, &I33 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( V3D_Z45 * D3D_123, target( &o, &V3D_Z45, &I33, &D3D_123 ), 1e-8 );
    ASSERT_MATRICES_EQUAL( s * V3D_Z45 * Q3D_45 * D3D_123, target( &s, &V3D_Z45, &Q3D_45, &D3D_123 ), 1e-8 );
}