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306 | /* *****************************************************************
MESQUITE -- The Mesh Quality Improvement Toolkit
Copyright 2004 Sandia Corporation and Argonne National
Laboratory. Under the terms of Contract DE-AC04-94AL85000
with Sandia Corporation, the U.S. Government 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], [email protected], [email protected],
[email protected], [email protected], [email protected]
***************************************************************** */
//
// AUTHOR: Thomas Leurent <[email protected]>
// ORG: Argonne National Laboratory
// E-MAIL: [email protected]
//
// ORIG-DATE: 12-Nov-02 at 18:05:56
// LAST-MOD: 15-Apr-04 at 14:57:05 by Thomas Leurent
//
// DESCRIPTION:
// ============
/*! \file Matrix3DTest.cpp
Unit testing of various functions in the Matrix3D class.
*/
// DESCRIP-END.
//
#include "Vector3D.hpp"
#include "Matrix3D.hpp"
#include <cmath>
#include "cppunit/extensions/HelperMacros.h"
using namespace MBMesquite;
using std::cerr;
using std::cout;
using std::endl;
class Matrix3DTest : public CppUnit::TestFixture
{
private:
CPPUNIT_TEST_SUITE( Matrix3DTest );
CPPUNIT_TEST( test_equal );
CPPUNIT_TEST( test_plus );
CPPUNIT_TEST( test_minus );
CPPUNIT_TEST( test_Frobenius_2 );
CPPUNIT_TEST( test_transpose );
CPPUNIT_TEST( test_plus_equal );
CPPUNIT_TEST( test_times_equal_scalar );
CPPUNIT_TEST( test_times_scalar );
CPPUNIT_TEST( test_plus_transpose );
CPPUNIT_TEST( test_plus_transpose_equal );
CPPUNIT_TEST( test_outer_product );
CPPUNIT_TEST( test_fill_lower_triangle );
CPPUNIT_TEST( test_times );
CPPUNIT_TEST( test_mult_element );
CPPUNIT_TEST( test_times_vector );
CPPUNIT_TEST( test_vector_times );
CPPUNIT_TEST( test_det );
CPPUNIT_TEST( test_B_times_invA );
CPPUNIT_TEST_SUITE_END();
private:
Vector3D e1, e2, e3;
Matrix3D mIdentity;
Matrix3D mMat1;
Matrix3D mMat1sym;
Matrix3D mMat2;
Matrix3D mMat2trans;
Matrix3D mMat1plus2;
Matrix3D mMat1plus2trans;
Matrix3D mMat1times2;
Matrix3D mMat1times2inv;
double tolEps;
public:
void setUp()
{
// sets up the unit vectors
e1.set( 1, 0, 0 );
e2.set( 0, 1, 0 );
e3.set( 0, 0, 1 );
mIdentity = " 1 0 0 "
" 0 1 0 "
" 0 0 1";
mMat1 = " 1 4.2 2 "
" 5.2 3 4 "
" 1 7 0.4";
mMat1sym = " 1 4.2 2 "
" 4.2 3 4 "
" 2 4 0.4";
mMat2 = " 2 4 5 "
" 2 1 3 "
" 0 7 8 ";
mMat2trans = " 2 2 0 "
" 4 1 7 "
" 5 3 8 ";
mMat1plus2 = " 3 8.2 7 "
" 7.2 4 7 "
" 1 14 8.4";
mMat1plus2trans = " 3 6.2 2 "
" 9.2 4 11 "
" 6 10 8.4";
mMat1times2 = " 10.4 22.2 33.6 "
" 16.4 51.8 67.0 "
" 16.0 13.8 29.2 ";
mMat1times2inv = " 2.519141 0.088216 -0.977863 "
" 1.009487 0.304594 -0.593375 "
" 5.838881 -0.699068 -2.203728 ";
tolEps = 1e-12;
}
void tearDown() {}
public:
Matrix3DTest() {}<--- Member variable 'Matrix3DTest::tolEps' is not initialized in the constructor.
void test_equal()
{
CPPUNIT_ASSERT( mMat1 == mMat1 );
CPPUNIT_ASSERT( mMat1 != mMat2 );
}
void test_plus()
{
Matrix3D sum;
sum = mMat1 + mMat2;
CPPUNIT_ASSERT( sum == mMat1plus2 );
}
void test_minus()
{
Matrix3D res;
res = mMat1 - mIdentity;
Matrix3D correct( " 0 4.2 2 "
" 5.2 2 4 "
" 1 7 -0.6 " );
CPPUNIT_ASSERT( res == correct );
}
void test_Frobenius_2()
{
double fro = Frobenius_2( mMat1 );
CPPUNIT_ASSERT_DOUBLES_EQUAL( 124.84, fro, tolEps );
}
void test_transpose()
{
Matrix3D trans = transpose( mMat2 );
CPPUNIT_ASSERT( trans == mMat2trans );
}
void test_plus_equal()
{
mMat1 += mMat2;
CPPUNIT_ASSERT( mMat1 == mMat1plus2 );
}
void test_times_equal_scalar()
{
mMat2 *= 3;
Matrix3D correct( " 6 12 15 "
" 6 3 9 "
" 0 21 24 " );
CPPUNIT_ASSERT( mMat2 == correct );
}
void test_times_scalar()
{
Matrix3D tmp = mMat2 * 3;
Matrix3D correct( " 6 12 15 "
" 6 3 9 "
" 0 21 24 " );
CPPUNIT_ASSERT( tmp == correct );
tmp[0][0] = 0;
tmp = 3 * mMat2;
CPPUNIT_ASSERT( tmp == correct );
}
void test_plus_transpose()
{
Matrix3D plus_trans = plus_transpose( mMat1, mMat2 );
CPPUNIT_ASSERT( plus_trans == mMat1plus2trans );
}
void test_plus_transpose_equal()
{
mMat1.plus_transpose_equal( mMat2 );
CPPUNIT_ASSERT( mMat1 == mMat1plus2trans );
}
void test_outer_product()
{
Matrix3D mat;
Vector3D vec1( 2, 7, 3 );
Vector3D vec2( 5, 8, 9 );
mat.outer_product( vec1, vec2 );
Matrix3D correct( " 10 16 18 "
" 35 56 63 "
" 15 24 27 " );
CPPUNIT_ASSERT( mat == correct );
}
void test_fill_lower_triangle()
{
mMat1.fill_lower_triangle();
CPPUNIT_ASSERT( mMat1 == mMat1sym );
}
void test_times()
{
Matrix3D mult = mMat1 * mMat2;
CPPUNIT_ASSERT( mult == mMat1times2 );
mult = mMat1 * mIdentity;
CPPUNIT_ASSERT( mult == mMat1 );
}
void test_mult_element()
{
Matrix3D mat = mult_element( mMat1, mIdentity );
Matrix3D correct( " 1 0 0 "
" 0 3 0 "
" 0 0 0.4" );
CPPUNIT_ASSERT( mat == correct );
}
void test_times_vector()
{
Vector3D vec = mMat1 * e1;
Vector3D correct( 1, 5.2, 1 );
CPPUNIT_ASSERT( vec == correct );
Vector3D vec_2( 3., 2., 5. );
Vector3D vec_12 = mMat1 * vec_2;
correct.set( 21.4, 41.6, 19. );
CPPUNIT_ASSERT( vec_12 == correct );
}
void test_vector_times()
{
Vector3D vec = e1 * mMat1;
Vector3D correct( 1, 4.2, 2 );
CPPUNIT_ASSERT( vec == correct );
Vector3D vec2( 2.1, 3, 8 );
vec = vec2 * mMat1;
correct.set( 25.7, 73.82, 19.4 );
int loop_i = 0;
for( loop_i = 0; loop_i < 3; ++loop_i )
{
CPPUNIT_ASSERT_DOUBLES_EQUAL( vec[loop_i], correct[loop_i], tolEps );
}
}
void test_det()
{
double d = det( mMat1 );
CPPUNIT_ASSERT_DOUBLES_EQUAL( 48.064, d, tolEps );
}
void test_B_times_invA()
{
Matrix3D orig1( mMat1 );
timesInvA( mMat2, mMat1 );
// Checks mMat1 is unchanged
CPPUNIT_ASSERT( mMat1 == orig1 );
// Checks mMat2 now contains the correct result
for( int i = 0; i < 3; ++i )
for( int j = 0; j < 3; ++j )
CPPUNIT_ASSERT_DOUBLES_EQUAL( mMat2[i][j], mMat1times2inv[i][j], 0.0001 );
}
};
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION( Matrix3DTest, "Matrix3DTest" );
CPPUNIT_TEST_SUITE_NAMED_REGISTRATION( Matrix3DTest, "Unit" );
|