NumericalOFTest.cpp

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

    Copyright 2006 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

    (2006) kraftche@cae.wisc.edu

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

/** \file NumericalQMTest.cpp
 *  \brief
 *  \author Jason Kraftcheck
 */

#include "Mesquite.hpp"
#include "ObjectiveFunctionTemplate.hpp"
#include "UnitUtil.hpp"
#include "PatchData.hpp"
#include "MsqHessian.hpp"

#include "cppunit/extensions/HelperMacros.h"

using namespace MBMesquite;
using namespace std;

const double EPSILON = 1e-6;

class NumericalOFTest : public CppUnit::TestFixture
{
  private:
    CPPUNIT_TEST_SUITE( NumericalOFTest );
    CPPUNIT_TEST( test_gradient_constant );
    CPPUNIT_TEST( test_gradient_linear );
    CPPUNIT_TEST( test_handles_eval_failure );
    CPPUNIT_TEST( test_handles_eval_false );
    CPPUNIT_TEST( test_changed );
    CPPUNIT_TEST( test_unchanged );
    CPPUNIT_TEST( test_Hessian_fails );
    CPPUNIT_TEST_SUITE_END();

    PatchData pd;

  public:
    void setUp();
    void test_gradient_values( bool constant );

    void test_gradient_constant()
    {
        test_gradient_values( true );
    }
    void test_gradient_linear()
    {
        test_gradient_values( false );
    }

    void test_handles_eval_failure();
    void test_handles_eval_false();
    void test_changed();
    void test_unchanged();
    void test_Hessian_fails();
};

CPPUNIT_TEST_SUITE_NAMED_REGISTRATION( NumericalOFTest, "NumericalOFTest" );
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION( NumericalOFTest, "Unit" );

/** Define a dummy ObjectiveFunction on which to do numerical gradient calculation
 *
 * If 'constant' flag is true, returns a constant value.
 * If 'constant' flag is false, returns a linear function of vertex coordinates.
 */
class NumericalTestOF : public ObjectiveFunctionTemplate
{
  public:
    NumericalTestOF( bool should_fail, bool should_return_false, bool constant_func )
        : changed( false ), fail( should_fail ), return_false( should_return_false ), constant( constant_func ),
          linearGrad( 1, 2, 3 )
    {
    }

    bool evaluate( EvalType type, PatchData& pd, double& val, bool free, MsqError& );

    ObjectiveFunction* clone() const
    {
        return new NumericalTestOF( *this );
    }

    void clear()
    {
        changed = true;
    }

    bool changed;       // "accumulated value" has changed (tester should initialize)
    bool fail;          // if true, calls to accumulate will unconditionally fail
    bool return_false;  // if true, evaluate will return false.
    bool constant;      // if true, OF value is constant, otherwise linear.

    const Vector3D linearGrad;
};

bool NumericalTestOF::evaluate( EvalType type, PatchData& pd, double& val, bool free, MsqError& err )
{
    if( fail )
    {
        MSQ_SETERR( err )( "Expected failure of OF::evaluate", MsqError::INVALID_ARG );
        return false;
    }

    if( pd.num_free_vertices() < 1 )
    {
        MSQ_SETERR( err )( "PatchData without free vertices.", MsqError::INVALID_ARG );
        return false;
    }

    if( type != ObjectiveFunction::CALCULATE && type != ObjectiveFunction::TEMPORARY ) changed = true;

    if( constant )
    {
        val = 1.0;
        return !return_false;
    }

    val = 0.0;
    for( size_t i = 0; i < pd.num_nodes(); ++i )
    {
        const MsqVertex& v = pd.vertex_by_index( i );
        val += linearGrad[0] * v[0] + linearGrad[1] * v[1] + linearGrad[2] * v[2];
    }

    return !return_false;
}

void NumericalOFTest::setUp()
{
    MsqPrintError err( std::cout );

    // Create a triangle mesh with three free vertices
    const double coords[]   = { 1, 1, 0, 2, 1, 0, 3, 1, 0, 2, 2, 0, 1, 3, 0, 1, 2, 0 };
    const bool fixed_vtx[]  = { true, false, true, false, true, false };
    const size_t tri_conn[] = { 0, 1, 5, 1, 2, 3, 3, 4, 5, 1, 3, 5 };
    pd.fill( 6, coords, 4, TRIANGLE, tri_conn, fixed_vtx, err );
    ASSERT_NO_ERROR( err );
}

void NumericalOFTest::test_gradient_values( bool constant )
{
    NumericalTestOF func( false, false, constant );
    MsqPrintError err( std::cout );
    double value;
    vector< Vector3D > gradient;

    bool rval = func.evaluate_with_gradient( ObjectiveFunction::CALCULATE, pd, value, gradient, err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT( rval );

    Vector3D expected = constant ? Vector3D( 0, 0, 0 ) : func.linearGrad;
    CPPUNIT_ASSERT( gradient.size() == pd.num_free_vertices() );
    for( vector< Vector3D >::iterator i = gradient.begin(); i != gradient.end(); ++i )
        CPPUNIT_ASSERT_VECTORS_EQUAL( expected, *i, EPSILON );
}

void NumericalOFTest::test_handles_eval_failure()
{
    MsqError err;
    NumericalTestOF func( true, false, true );
    double value;
    vector< Vector3D > gradient;

    func.evaluate_with_gradient( ObjectiveFunction::CALCULATE, pd, value, gradient, err );
    CPPUNIT_ASSERT( err );
}

void NumericalOFTest::test_handles_eval_false()
{
    MsqError err;
    NumericalTestOF func( false, true, true );
    double value;
    vector< Vector3D > gradient;

    bool rval = func.evaluate_with_gradient( ObjectiveFunction::CALCULATE, pd, value, gradient, err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT( !rval );
}

void NumericalOFTest::test_changed()
{
    MsqPrintError err( cout );
    NumericalTestOF func( false, false, true );
    double value;
    vector< Vector3D > gradient;
    bool rval;

    func.changed = false;
    rval         = func.evaluate_with_gradient( ObjectiveFunction::SAVE, pd, value, gradient, err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT( rval );
    CPPUNIT_ASSERT( func.changed );

    func.changed = false;
    rval         = func.evaluate_with_gradient( ObjectiveFunction::UPDATE, pd, value, gradient, err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT( rval );
    CPPUNIT_ASSERT( func.changed );
}

void NumericalOFTest::test_unchanged()
{
    MsqPrintError err( cout );
    NumericalTestOF func( false, false, true );
    double value;
    vector< Vector3D > gradient;
    bool rval;

    func.changed = false;
    rval         = func.evaluate_with_gradient( ObjectiveFunction::TEMPORARY, pd, value, gradient, err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT( rval );
    CPPUNIT_ASSERT( !func.changed );
}

void NumericalOFTest::test_Hessian_fails()
{
    MsqError err;
    NumericalTestOF func( false, false, true );
    double value;
    vector< Vector3D > gradient;
    MsqHessian Hessian;

    func.evaluate_with_Hessian( ObjectiveFunction::CALCULATE, pd, value, gradient, Hessian, err );
    CPPUNIT_ASSERT( err );
}