CircleDomainTest.cpp

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

    Copyright 2010 Sandia National Laboratories.  Developed at the
    University of Wisconsin--Madison under SNL contract number
    624796.  The U.S. Government and the University of Wisconsin
    retain 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

    (2010) [email protected]

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

/** \file CircleDomainTest.cpp
 *  \brief UnitTests for CircleDomain class
 *  \author Jason Kraftcheck
 */

#include "UnitUtil.hpp"
#include "MeshDomain1D.hpp"

namespace MBMesquite
{

class CircleDomainTest : public CppUnit::TestFixture
{
    CPPUNIT_TEST_SUITE( CircleDomainTest );
    CPPUNIT_TEST( test_snap_to );
    CPPUNIT_TEST( test_arc_length );
    CPPUNIT_TEST( test_position_from_length );
    CPPUNIT_TEST_SUITE_END();

  public:
    void test_snap_to();
    void test_arc_length();
    void test_position_from_length();
};

CPPUNIT_TEST_SUITE_NAMED_REGISTRATION( CircleDomainTest, "CircleDomainTest" );
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION( CircleDomainTest, "Unit" );

void CircleDomainTest::test_snap_to()
{
    Vector3D origin( 0, 0, 0 );
    Vector3D z( 0, 0, 1 );
    double rad1 = 4.0 / 3.0;
    CircleDomain dom1( origin, z, rad1 );
    Vector3D pt( 1, 0, 0 );
    dom1.snap_to( 0, pt );
    CPPUNIT_ASSERT_VECTORS_EQUAL( Vector3D( rad1, 0, 0 ), pt, 1e-6 );
    Vector3D a = Vector3D( 1, 2, 3 );
    pt         = a;
    dom1.snap_to( 0, pt );
    a = Vector3D( 1, 2, 0 );
    a *= rad1 / a.length();
    CPPUNIT_ASSERT_VECTORS_EQUAL( a, pt, 1e-6 );

    Vector3D some_pt( 5, -1, 6 );
    Vector3D some_dir( -5, -4, 1 );
    double rad2 = 1.0;
    CircleDomain dom2( some_pt, some_dir, rad2 );

    a  = Vector3D( 0, 0, 0 );
    pt = a;
    dom2.snap_to( 0, pt );
    CPPUNIT_ASSERT_DOUBLES_EQUAL( rad2, ( pt - some_pt ).length(), 1e-6 );   // rad from center
    CPPUNIT_ASSERT_DOUBLES_EQUAL( 0.0, ( pt - some_pt ) % some_dir, 1e-6 );  // in plane
    CPPUNIT_ASSERT_DOUBLES_EQUAL( 0.0, ( ( pt - some_pt ) * ( a - some_pt ) ) % some_dir,
                                  1e-6 );  // correct direction from center

    a  = Vector3D( 0, -1, -2 );
    pt = a;
    dom2.snap_to( 0, pt );
    CPPUNIT_ASSERT_DOUBLES_EQUAL( rad2, ( pt - some_pt ).length(), 1e-6 );   // rad from center
    CPPUNIT_ASSERT_DOUBLES_EQUAL( 0.0, ( pt - some_pt ) % some_dir, 1e-6 );  // in plane
    CPPUNIT_ASSERT_DOUBLES_EQUAL( 0.0, ( ( pt - some_pt ) * ( a - some_pt ) ) % some_dir,
                                  1e-6 );  // correct direction from center
}

void CircleDomainTest::test_arc_length()
{
    MsqPrintError err( std::cerr );

    Vector3D origin( 0, 0, 0 );
    Vector3D z( 0, 0, 1 );
    double rad1 = 4.0 / 3.0;
    CircleDomain dom1( origin, z, rad1 );

    Vector3D xp = Vector3D( 1, 0, 0 );
    Vector3D xn = Vector3D( -1, 0, 0 );
    Vector3D yp = Vector3D( 0, 1, 0 );

    double len = dom1.arc_length( xp.to_array(), yp.to_array(), err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT_DOUBLES_EQUAL( rad1 * M_PI * 0.5, len, 1e-6 );

    len = dom1.arc_length( xp.to_array(), xn.to_array(), err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT_DOUBLES_EQUAL( rad1 * M_PI, len, 1e-6 );

    len = dom1.arc_length( yp.to_array(), xp.to_array(), err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT_DOUBLES_EQUAL( -rad1 * M_PI * 0.5, len, 1e-6 );

    len = dom1.arc_length( ( xp + z ).to_array(), yp.to_array(), err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT_DOUBLES_EQUAL( rad1 * M_PI * 0.5, len, 1e-6 );

    len = dom1.arc_length( xp.to_array(), ( yp + z ).to_array(), err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT_DOUBLES_EQUAL( rad1 * M_PI * 0.5, len, 1e-6 );

    Vector3D center( -1, -2, -1 );
    Vector3D normal( -2, -1, -2 );
    double rad = 1.5;
    CircleDomain dom2( center, normal, rad );

    Vector3D v( 1, 0, 0 );
    v = v * normal;
    v *= rad / v.length();
    v += center;
    len = dom2.arc_length( v.to_array(), v.to_array(), err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT_DOUBLES_EQUAL( 0.0, len, 1e-6 );
}

void CircleDomainTest::test_position_from_length()
{
    MsqPrintError err( std::cerr );

    Vector3D origin( 0, 0, 0 );
    Vector3D z( 0, 0, 1 );
    double rad1 = 4.0 / 3.0;
    CircleDomain dom1( origin, z, rad1 );

    Vector3D xp = Vector3D( 1, 0, 0 );
    Vector3D xn = Vector3D( -1, 0, 0 );
    Vector3D yp = Vector3D( 0, 1, 0 );

    const double qc = 0.5 * rad1 * M_PI;

    Vector3D result;
    dom1.position_from_length( xp.to_array(), qc, result.to_array(), err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT_VECTORS_EQUAL( yp * rad1, result, 1e-6 );

    dom1.position_from_length( xp.to_array(), 2 * qc, result.to_array(), err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT_VECTORS_EQUAL( xn * rad1, result, 1e-6 );

    dom1.position_from_length( yp.to_array(), -qc, result.to_array(), err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT_VECTORS_EQUAL( xp * rad1, result, 1e-6 );

    dom1.position_from_length( ( xp + z ).to_array(), qc, result.to_array(), err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT_VECTORS_EQUAL( yp * rad1, result, 1e-6 );

    Vector3D center( -1, -2, -1 );
    Vector3D normal( -2, -1, -2 );
    double rad2 = 1.5;
    CircleDomain dom2( center, normal, rad2 );

    Vector3D v( 1, 0, 0 );
    v = v * normal;
    v *= rad2 / v.length();
    v += center;
    dom2.position_from_length( v.to_array(), 0.0, result.to_array(), err );
    ASSERT_NO_ERROR( err );
    CPPUNIT_ASSERT_VECTORS_EQUAL( v, result, 1e-6 );
}

}  // namespace MBMesquite