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eigen/tvmet-1.7.1/testsuite/TestMatrixFunctions.h
Benoit Jacob 3036eeca0a Starting Eigen 2 development. The current plan is to use the last 
release of tvmet (inactive for 2 years and developer unreachable) as the
basis for eigen2, because it provides seemingly good expression template
mechanisms, we want that, and it would take years to reinvent that
wheel. We'll see. So this commit imports the last tvmet release.
2007-05-30 06:24:51 +00:00

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/*
* Tiny Vector Matrix Library
* Dense Vector Matrix Libary of Tiny size using Expression Templates
*
* Copyright (C) 2001 - 2003 Olaf Petzold <opetzold@users.sourceforge.net>
*
* 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 along with this library; if not, write to the Free Software
* Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*
* $Id: TestMatrixFunctions.h,v 1.2 2004/07/06 06:24:23 opetzold Exp $
*/
#ifndef TVMET_TEST_MATRIXFUNC_H
#define TVMET_TEST_MATRIXFUNC_H
#include <cppunit/extensions/HelperMacros.h>
#include <tvmet/Vector.h>
#include <tvmet/Matrix.h>
#include <tvmet/util/General.h>
template <class T>
class TestMatrixFunctions : public CppUnit::TestFixture
{
CPPUNIT_TEST_SUITE( TestMatrixFunctions );
CPPUNIT_TEST( scalarUpdAssign1 );
CPPUNIT_TEST( scalarUpdAssign2 );
CPPUNIT_TEST( scalarUpdAssign3 );
CPPUNIT_TEST( scalarOps1 );
CPPUNIT_TEST( scalarOps2 );
CPPUNIT_TEST( globalMatrixFuncs1 );
CPPUNIT_TEST( globalMatrixFuncs2 );
CPPUNIT_TEST( globalMatrixFuncs3 );
CPPUNIT_TEST( fn_prod1 );
CPPUNIT_TEST( fn_prod2 );
CPPUNIT_TEST( fn_prod3 );
CPPUNIT_TEST( fn_trans );
CPPUNIT_TEST( fn_MtM_prod );
CPPUNIT_TEST( fn_MMt_prod );
CPPUNIT_TEST( fn_prodTrans );
CPPUNIT_TEST( fn_trace );
CPPUNIT_TEST( rowVector );
CPPUNIT_TEST( colVector );
CPPUNIT_TEST( fn_diag );
CPPUNIT_TEST( extremum );
CPPUNIT_TEST( identity_matrix );
CPPUNIT_TEST_SUITE_END();
private:
typedef tvmet::Vector<T, 3> vector_type;
typedef tvmet::Matrix<T, 3, 3> matrix_type;
public:
TestMatrixFunctions()
: mZero(0), mOne(1), scalar(10), scalar2(2) { }
public: // cppunit interface
/** cppunit hook for fixture set up. */
void setUp();
/** cppunit hook for fixture tear down. */
void tearDown();
protected:
void scalarUpdAssign1();
void scalarUpdAssign2();
void scalarUpdAssign3();
void scalarOps1();
void scalarOps2();
void globalMatrixFuncs1();
void globalMatrixFuncs2();
void globalMatrixFuncs3();
void fn_prod1();
void fn_prod2();
void fn_prod3();
void fn_trans();
void fn_MtM_prod();
void fn_MMt_prod();
void fn_prodTrans();
void fn_trace();
void rowVector();
void colVector();
void fn_diag();
void extremum();
void identity_matrix();
private:
const matrix_type mZero;
const matrix_type mOne;
matrix_type m1;
matrix_type mBig; /**< matrix 10x bigger than m1 */
private:
vector_type m1_r0, m1_r1, m1_r2; // row vectors
vector_type m1_c0, m1_c1, m1_c2; // col vectors
private:
const T scalar;
const T scalar2;
};
/*****************************************************************************
* Implementation Part I (cppunit part)
*** *************************************************************************/
template <class T>
void TestMatrixFunctions<T>::setUp() {
m1 = 1,4,7,
2,5,8,
3,6,9;
m1_r0 = 1,4,7;
m1_r1 = 2,5,8;
m1_r2 = 3,6,9;
m1_c0 = 1,2,3;
m1_c1 = 4,5,6;
m1_c2 = 7,8,9;
mBig = 10,40,70,
20,50,80,
30,60,90;
}
template <class T>
void TestMatrixFunctions<T>::tearDown() { }
/*****************************************************************************
* Implementation Part II
****************************************************************************/
/*
* member math operators with scalars
* Since we use it to compare results, these tests are elemental.
*/
template <class T>
void
TestMatrixFunctions<T>::scalarUpdAssign1() {
// all these functions are element wise
matrix_type t1(m1), t2(m1), t3(m1), t4(mBig);
t1 += scalar;
t2 -= scalar;
t3 *= scalar;
t4 /= scalar;
assert(t1(0,0) == (m1(0,0)+scalar) && t1(0,1) == (m1(0,1)+scalar) && t1(0,2) == (m1(0,2)+scalar) &&
t1(1,0) == (m1(1,0)+scalar) && t1(1,1) == (m1(1,1)+scalar) && t1(1,2) == (m1(1,2)+scalar) &&
t1(2,0) == (m1(2,0)+scalar) && t1(2,1) == (m1(2,1)+scalar) && t1(2,2) == (m1(2,2)+scalar));
assert(t2(0,0) == (m1(0,0)-scalar) && t2(0,1) == (m1(0,1)-scalar) && t2(0,2) == (m1(0,2)-scalar) &&
t2(1,0) == (m1(1,0)-scalar) && t2(1,1) == (m1(1,1)-scalar) && t2(1,2) == (m1(1,2)-scalar) &&
t2(2,0) == (m1(2,0)-scalar) && t2(2,1) == (m1(2,1)-scalar) && t2(2,2) == (m1(2,2)-scalar));
assert( all_elements(t3 == mBig) );
assert( all_elements(t4 == m1) );
}
/*
* member math operators with Matrizes
* Since we use it to compare results, these tests are elemental.
*/
template <class T>
void
TestMatrixFunctions<T>::scalarUpdAssign2() {
// all these functions are element wise
matrix_type t1(m1), t2(m1), t3(m1), t4(m1);
t1 += m1;
t2 -= m1;
{
using namespace tvmet::element_wise;
t3 *= m1;
t4 /= m1;
}
assert(t1(0,0) == (m1(0,0)*2) && t1(0,1) == (m1(0,1)*2) && t1(0,2) == (m1(0,2)*2) &&
t1(1,0) == (m1(1,0)*2) && t1(1,1) == (m1(1,1)*2) && t1(1,2) == (m1(1,2)*2) &&
t1(2,0) == (m1(2,0)*2) && t1(2,1) == (m1(2,1)*2) && t1(2,2) == (m1(2,2)*2));
assert( all_elements(t2 == mZero) );
assert(t3(0,0) == (m1(0,0)*m1(0,0)) && t3(0,1) == (m1(0,1)*m1(0,1)) && t3(0,2) == (m1(0,2)*m1(0,2)) &&
t3(1,0) == (m1(1,0)*m1(1,0)) && t3(1,1) == (m1(1,1)*m1(1,1)) && t3(1,2) == (m1(1,2)*m1(1,2)) &&
t3(2,0) == (m1(2,0)*m1(2,0)) && t3(2,1) == (m1(2,1)*m1(2,1)) && t3(2,2) == (m1(2,2)*m1(2,2)));
assert( all_elements(t4 == mOne) );
}
/*
* member math operators with XprMatrizes
* Since we use it to compare results, these tests are elemental.
*/
template <class T>
void
TestMatrixFunctions<T>::scalarUpdAssign3() {
// all these functions are element wise
matrix_type t1(m1), t2(m1), t3(m1), t4(m1);
t1 += T(1)*m1;
t2 -= T(1)*m1;
{
using namespace tvmet::element_wise;
t3 *= T(1)*m1;
t4 /= T(1)*m1;
}
assert( all_elements(t1 == 2*m1) );
assert( all_elements(t2 == mZero) );
assert(t3(0,0) == (m1(0,0)*m1(0,0)) && t3(0,1) == (m1(0,1)*m1(0,1)) && t3(0,2) == (m1(0,2)*m1(0,2)) &&
t3(1,0) == (m1(1,0)*m1(1,0)) && t3(1,1) == (m1(1,1)*m1(1,1)) && t3(1,2) == (m1(1,2)*m1(1,2)) &&
t3(2,0) == (m1(2,0)*m1(2,0)) && t3(2,1) == (m1(2,1)*m1(2,1)) && t3(2,2) == (m1(2,2)*m1(2,2)));
assert( all_elements(t4 == mOne) );
}
/*
* global math operators with scalars
* Note: checked against member operators since they are allready checked
*/
template <class T>
void
TestMatrixFunctions<T>::scalarOps1() {
matrix_type r1(m1), r2(m1);
matrix_type t1(0), t2(0), t3(0), t4(0);
r1 += scalar;
r2 -= scalar;
t1 = add(m1, scalar);
t2 = sub(m1, scalar);
t3 = mul(m1, scalar);
t4 = div(mBig, scalar);
CPPUNIT_ASSERT( all_elements(t1 == r1) );
CPPUNIT_ASSERT( all_elements(t2 == r2) );
CPPUNIT_ASSERT( all_elements(t3 == mBig) );
CPPUNIT_ASSERT( all_elements(t4 == m1) );
}
/*
* global math operators with scalars, part II
* Note: checked against member operators since they are allready checked
*/
template <class T>
void
TestMatrixFunctions<T>::scalarOps2() {
matrix_type r1(m1), r2(m1);
matrix_type t1(0), t2(0);
r1 += scalar;
r2 *= scalar;
t1 = add(scalar, m1);
t2 = mul(scalar, m1);
CPPUNIT_ASSERT( all_elements(t1 == r1) );
CPPUNIT_ASSERT( all_elements(t2 == r2) );
}
/*
* global math operators with matrizes
*/
template <class T>
void
TestMatrixFunctions<T>::globalMatrixFuncs1() {
matrix_type t1(0), t2(0), t3(0), t4(0);
t1 = add(m1, m1);
t2 = sub(m1, m1);
{
using namespace tvmet::element_wise;
t3 = mul(m1, mOne);
t4 = div(m1, mOne);
}
CPPUNIT_ASSERT( all_elements(t1 == 2*m1) );
CPPUNIT_ASSERT( all_elements(t2 == T(0)) );
CPPUNIT_ASSERT( all_elements(t3 == m1) );
CPPUNIT_ASSERT( all_elements(t4 == m1) );
}
/*
* global math operators with matrizes and xpr
*/
template <class T>
void
TestMatrixFunctions<T>::globalMatrixFuncs2() {
matrix_type r1(m1), r2(m1), r3(m1), r4(m1);
matrix_type t1(0), t2(0), t3(0), t4(0);
r1 += T(1)*m1;
r2 -= T(1)*m1;
{
using namespace tvmet::element_wise;
r3 *= T(1)*m1;
r4 /= T(1)*m1;
}
CPPUNIT_ASSERT( all_elements(r2 == T(0)) );
CPPUNIT_ASSERT( all_elements(r4 == T(1)) );
t1 = add(m1, m1*T(1));
t2 = sub(m1, m1*T(1));
{
using namespace tvmet::element_wise;
t3 = mul(m1, m1*T(1));
t4 = div(m1, m1*T(1));
}
CPPUNIT_ASSERT( all_elements(t1 == r1) );
CPPUNIT_ASSERT( all_elements(t2 == r2) );
CPPUNIT_ASSERT( all_elements(t3 == r3) );
CPPUNIT_ASSERT( all_elements(t4 == r4) );
}
/*
* global math operators with matrizes and xpr
*/
template <class T>
void
TestMatrixFunctions<T>::globalMatrixFuncs3() {
matrix_type r1(m1), r2(m1), r3(m1), r4(m1);
matrix_type t1(0), t2(0), t3(0), t4(0);
r1 += T(1)*m1;
r2 -= T(1)*m1;
{
using namespace tvmet::element_wise;
r3 *= T(1)*m1;
r4 /= T(1)*m1;
}
CPPUNIT_ASSERT( all_elements(r2 == T(0)) );
CPPUNIT_ASSERT( all_elements(r4 == T(1)) );
t1 = add(T(1)*m1, m1);
t2 = sub(T(1)*m1, m1);
{
using namespace tvmet::element_wise;
t3 = mul(T(1)*m1, m1);
t4 = div(T(1)*m1, m1);
}
CPPUNIT_ASSERT( all_elements(t1 == r1) );
CPPUNIT_ASSERT( all_elements(t2 == r2) );
CPPUNIT_ASSERT( all_elements(t3 == r3) );
CPPUNIT_ASSERT( all_elements(t4 == r4) );
}
/*
* product functions with matrizes
*/
template <class T>
void
TestMatrixFunctions<T>::fn_prod1() {
matrix_type t1, t2, t3;
matrix_type r1, r2, r3;
tvmet::util::Gemm(m1, m1, r1);
tvmet::util::Gemm(m1, mBig, r2);
tvmet::util::Gemm(mBig, m1, r3);
CPPUNIT_ASSERT( all_elements(r2 == r3) );
t1 = prod(m1, m1);
CPPUNIT_ASSERT( all_elements(t1 == r1) );
t2 = prod(m1, mBig);
CPPUNIT_ASSERT( all_elements(t2 == r2) );
t3 = prod(mBig, m1);
CPPUNIT_ASSERT( all_elements(t3 == r3) );
}
/*
* product functions with matrizes and xpr
* Note: Take care on aliasing!
*/
template <class T>
void
TestMatrixFunctions<T>::fn_prod2() {
matrix_type r1(0), rm(0);
matrix_type m2(m1);
matrix_type t1;
rm = scalar*m1;
tvmet::util::Gemm(m1, rm, r1);
t1 = prod(m1, scalar*m2 /* alias mBig */);
CPPUNIT_ASSERT( all_elements(t1 == r1) );
}
/*
* product functions with matrizes
* Note: Take care on aliasing!
*/
template <class T>
void
TestMatrixFunctions<T>::fn_prod3() {
matrix_type r1(0), rm(0);
matrix_type m2(m1);
matrix_type t1;
rm = scalar*m1;
tvmet::util::Gemm(rm, m1, r1);
t1 = prod(scalar*m1 /* alias mBig */, m2);
CPPUNIT_ASSERT( all_elements(t1 == r1) );
}
/*
* transpose functions with matrizes
*/
template <class T>
void
TestMatrixFunctions<T>::fn_trans() {
matrix_type t1, t2;
t1 = trans(m1);
CPPUNIT_ASSERT( any_elements(t1 != m1) ); // XXX not very clever test
t2 = trans(t1); // transpose back
CPPUNIT_ASSERT( all_elements(t2 == m1) );
}
/*
* matrix function M^T * M
*/
template <class T>
void
TestMatrixFunctions<T>::fn_MtM_prod() {
matrix_type m1t, r1;
matrix_type m2;
// trans() and prod() is checked before!
m1t = trans(m1);
r1 = prod(m1t, mBig);
m2 = MtM_prod(m1, mBig);
CPPUNIT_ASSERT( all_elements(r1 == m2) );
}
/*
* matrix function M * M^T
*/
template <class T>
void
TestMatrixFunctions<T>::fn_MMt_prod() {
matrix_type m1t, r1;
matrix_type m2;
// trans() and prod() is checked before!
m1t = trans(m1);
r1 = prod(mBig, m1t);
m2 = MMt_prod(mBig, m1);
CPPUNIT_ASSERT( all_elements(r1 == m2) );
}
/*
* matrix function (M * M)^T
*/
template <class T>
void
TestMatrixFunctions<T>::fn_prodTrans() {
matrix_type r1, r1t;
matrix_type m2;
// trans() and prod() is checked before!
r1 = prod(m1, mBig);
r1t = trans(r1);
m2 = trans_prod(m1, mBig);
CPPUNIT_ASSERT( all_elements(r1t == m2) );
}
/*
* trace
*/
template <class T>
void
TestMatrixFunctions<T>::fn_trace() {
T t1 = trace(m1);
T t2 = trace(mBig);
CPPUNIT_ASSERT( t1 == (m1(0,0)+m1(1,1)+m1(2,2)) );
CPPUNIT_ASSERT( t2 == (mBig(0,0)+mBig(1,1)+mBig(2,2)) );
}
/*
* matrix row vector
*/
template <class T>
void
TestMatrixFunctions<T>::rowVector() {
vector_type r0, r1, r2;
r0 = row(m1, 0);
r1 = row(m1, 1);
r2 = row(m1, 2);
CPPUNIT_ASSERT( all_elements(r0 == m1_r0) );
CPPUNIT_ASSERT( all_elements(r1 == m1_r1) );
CPPUNIT_ASSERT( all_elements(r2 == m1_r2) );
}
/*
* matrix col vector
*/
template <class T>
void
TestMatrixFunctions<T>::colVector() {
vector_type c0, c1, c2;
c0 = col(m1, 0);
c1 = col(m1, 1);
c2 = col(m1, 2);
CPPUNIT_ASSERT( all_elements(c0 == m1_c0) );
CPPUNIT_ASSERT( all_elements(c1 == m1_c1) );
CPPUNIT_ASSERT( all_elements(c2 == m1_c2) );
}
/*
* matrix diag vector
*/
template <class T>
void
TestMatrixFunctions<T>::fn_diag() {
vector_type r, v;
r = 1, 5, 9;
v = diag(m1);
CPPUNIT_ASSERT( all_elements(r == v) );
}
/*
* extremums
*/
template <class T>
void
TestMatrixFunctions<T>::extremum() {
CPPUNIT_ASSERT(max(m1) == 9);
CPPUNIT_ASSERT(min(m1) == 1);
CPPUNIT_ASSERT(max(mBig) == 90);
CPPUNIT_ASSERT(min(mBig) == 10);
CPPUNIT_ASSERT(maximum(m1).value() == 9);
CPPUNIT_ASSERT(maximum(m1).row() == 2);
CPPUNIT_ASSERT(maximum(m1).col() == 2);
CPPUNIT_ASSERT(minimum(m1).value() == 1);
CPPUNIT_ASSERT(minimum(m1).row() == 0);
CPPUNIT_ASSERT(minimum(m1).col() == 0);
CPPUNIT_ASSERT(maximum(mBig).value() == 90);
CPPUNIT_ASSERT(maximum(mBig).row() == 2);
CPPUNIT_ASSERT(maximum(mBig).col() == 2);
CPPUNIT_ASSERT(minimum(mBig).value() == 10);
CPPUNIT_ASSERT(minimum(mBig).row() == 0);
CPPUNIT_ASSERT(minimum(mBig).col() == 0);
}
/*
* identity
*/
template <class T>
void
TestMatrixFunctions<T>::identity_matrix() {
// XXX strange, why does we have to specify the namespace here?
// got error: identifier "identity" is undefined
matrix_type E( tvmet::identity<matrix_type>() );
CPPUNIT_ASSERT( E(0,0) == 1 &&
E(1,1) == 1 &&
E(2,2) == 1);
CPPUNIT_ASSERT( E(0,1) == 0 &&
E(0,2) == 0 &&
E(1,0) == 0 &&
E(1,2) == 0 &&
E(2,0) == 0 &&
E(2,1) == 0);
}
/*****************************************************************************
* Implementation Part II (specialized for ints)
****************************************************************************/
/*
* member math operators with scalars
*/
template <>
void
TestMatrixFunctions<int>::scalarUpdAssign1() {
// all these functions are element wise
matrix_type t1(m1), t2(m1), t3(m1), t4(mBig);
matrix_type t5(m1), t6(mBig), t7(mBig), t8(mBig), t9(mBig);
matrix_type t10(m1), t11(m1);
t1 += scalar;
t2 -= scalar;
t3 *= scalar;
t4 /= scalar;
t5 %= scalar;
t6 %= scalar;
t7 ^= scalar;
t8 &= scalar;
t9 |= scalar;
t10 <<= scalar;
t11 >>= scalar2;
CPPUNIT_ASSERT(t1(0,0) == (m1(0,0)+scalar) && t1(0,1) == (m1(0,1)+scalar) && t1(0,2) == (m1(0,2)+scalar) &&
t1(1,0) == (m1(1,0)+scalar) && t1(1,1) == (m1(1,1)+scalar) && t1(1,2) == (m1(1,2)+scalar) &&
t1(2,0) == (m1(2,0)+scalar) && t1(2,1) == (m1(2,1)+scalar) && t1(2,2) == (m1(2,2)+scalar));
CPPUNIT_ASSERT(t2(0,0) == (m1(0,0)-scalar) && t2(0,1) == (m1(0,1)-scalar) && t2(0,2) == (m1(0,2)-scalar) &&
t2(1,0) == (m1(1,0)-scalar) && t2(1,1) == (m1(1,1)-scalar) && t2(1,2) == (m1(1,2)-scalar) &&
t2(2,0) == (m1(2,0)-scalar) && t2(2,1) == (m1(2,1)-scalar) && t2(2,2) == (m1(2,2)-scalar));
CPPUNIT_ASSERT( all_elements(t3 == mBig) );
CPPUNIT_ASSERT( all_elements(t4 == m1) );
CPPUNIT_ASSERT( all_elements(t5 == m1) );
CPPUNIT_ASSERT( all_elements(t6 == mZero) );
CPPUNIT_ASSERT(t7(0,0) == (mBig(0,0)^scalar) && t7(0,1) == (mBig(0,1)^scalar) && t7(0,2) == (mBig(0,2)^scalar) &&
t7(1,0) == (mBig(1,0)^scalar) && t7(1,1) == (mBig(1,1)^scalar) && t7(1,2) == (mBig(1,2)^scalar) &&
t7(2,0) == (mBig(2,0)^scalar) && t7(2,1) == (mBig(2,1)^scalar) && t7(2,2) == (mBig(2,2)^scalar));
CPPUNIT_ASSERT(t8(0,0) == (mBig(0,0)&scalar) && t8(0,1) == (mBig(0,1)&scalar) && t8(0,2) == (mBig(0,2)&scalar) &&
t8(1,0) == (mBig(1,0)&scalar) && t8(1,1) == (mBig(1,1)&scalar) && t8(1,2) == (mBig(1,2)&scalar) &&
t8(2,0) == (mBig(2,0)&scalar) && t8(2,1) == (mBig(2,1)&scalar) && t8(2,2) == (mBig(2,2)&scalar));
CPPUNIT_ASSERT(t9(0,0) == (mBig(0,0)|scalar) && t9(0,1) == (mBig(0,1)|scalar) && t9(0,2) == (mBig(0,2)|scalar) &&
t9(1,0) == (mBig(1,0)|scalar) && t9(1,1) == (mBig(1,1)|scalar) && t9(1,2) == (mBig(1,2)|scalar) &&
t9(2,0) == (mBig(2,0)|scalar) && t9(2,1) == (mBig(2,1)|scalar) && t9(2,2) == (mBig(2,2)|scalar));
CPPUNIT_ASSERT(t10(0,0) == (m1(0,0)<<scalar) && t10(0,1) == (m1(0,1)<<scalar) && t10(0,2) == (m1(0,2)<<scalar) &&
t10(1,0) == (m1(1,0)<<scalar) && t10(1,1) == (m1(1,1)<<scalar) && t10(1,2) == (m1(1,2)<<scalar) &&
t10(2,0) == (m1(2,0)<<scalar) && t10(2,1) == (m1(2,1)<<scalar) && t10(2,2) == (m1(2,2)<<scalar));
CPPUNIT_ASSERT(t11(0,0) == (m1(0,0)>>scalar2) && t11(0,1) == (m1(0,1)>>scalar2) && t11(0,2) == (m1(0,2)>>scalar2) &&
t11(1,0) == (m1(1,0)>>scalar2) && t11(1,1) == (m1(1,1)>>scalar2) && t11(1,2) == (m1(1,2)>>scalar2) &&
t11(2,0) == (m1(2,0)>>scalar2) && t11(2,1) == (m1(2,1)>>scalar2) && t11(2,2) == (m1(2,2)>>scalar2));
}
/*
* TODO: implement other UpdAssign functions, esp. for bit ops
* (since functions above are working, all others should work)
*/
#endif // TVMET_TEST_MATRIXFUNC_H
// Local Variables:
// mode:C++
// End:
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