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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: TestXprVectorFunctions.h,v 1.2 2005/03/25 07:12:07 opetzold Exp $
*/
#ifndef TVMET_TEST_XPR_VECTORFUNC_H
#define TVMET_TEST_XPR_VECTORFUNC_H
#include <limits>
#include <cppunit/extensions/HelperMacros.h>
#include <tvmet/Vector.h>
#include <tvmet/util/General.h>
template <class T>
class TestXprVectorFunctions : public CppUnit::TestFixture
{
CPPUNIT_TEST_SUITE( TestXprVectorFunctions );
CPPUNIT_TEST( scalarFuncs1 );
CPPUNIT_TEST( scalarFuncs2 );
CPPUNIT_TEST( globalXprVectorFuncs );
CPPUNIT_TEST( fn_sum );
CPPUNIT_TEST( fn_product );
CPPUNIT_TEST( fn_dot );
CPPUNIT_TEST( fn_cross );
CPPUNIT_TEST( fn_norm );
CPPUNIT_TEST_SUITE_END();
private:
typedef tvmet::Vector<T, 3> vector_type;
public:
TestXprVectorFunctions()
: vZero(0), vOne(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 scalarFuncs1();
void scalarFuncs2();
void globalXprVectorFuncs();
void fn_sum();
void fn_product();
void fn_dot();
void fn_cross();
void fn_norm();
private:
const vector_type vZero;
const vector_type vOne;
vector_type v1;
vector_type vBig; /**< vector 10x bigger than v1 */
private:
const T scalar;
const T scalar2;
};
/*****************************************************************************
* Implementation Part I (cppunit part)
****************************************************************************/
template <class T>
void TestXprVectorFunctions<T>::setUp() {
v1 = 1,2,3;
vBig = 10,20,30;
}
template <class T>
void TestXprVectorFunctions<T>::tearDown() { }
/*****************************************************************************
* Implementation Part II
****************************************************************************/
/*
* global math operators with scalars
* function(XprVector, scalar)
*/
template <class T>
void
TestXprVectorFunctions<T>::scalarFuncs1() {
vector_type r1(v1), r2(v1), r3(v1), r4(vBig);
vector_type t1(0), t2(0), t3(0), t4(0);
r1 += scalar;
r2 -= scalar;
r3 *= scalar;
r4 /= scalar;
// all element wise
t1 = add(T(1)*v1, scalar);
t2 = sub(T(1)*v1, scalar);
t3 = mul(T(1)*v1, scalar);
t4 = div(T(1)*vBig, scalar);
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 scalars, part II
* function(scalar, XprVector)
*/
template <class T>
void
TestXprVectorFunctions<T>::scalarFuncs2() {
vector_type r1(v1), r2(v1);
vector_type t1(0), t2(0);
r1 += scalar;
r2 *= scalar;
// all element wise
t1 = add(scalar, T(1)*v1);
t2 = mul(scalar, T(1)*v1);
CPPUNIT_ASSERT( all_elements(t1 == r1) );
CPPUNIT_ASSERT( all_elements(t2 == r2) );
}
/*
* global math operators with xpr vectors (using functions)
*/
template <class T>
void
TestXprVectorFunctions<T>::globalXprVectorFuncs() {
vector_type r1(v1), r2(v1), r3(v1), r4(v1);
vector_type t1(0), t2(0), t3(0), t4(0);
vector_type v2(v1);
CPPUNIT_ASSERT( all_elements( v1 == v2) );
r1 += v1;
r2 -= v1;
r3 *= v1;
{
using namespace tvmet::element_wise;
r4 /= v1;
}
CPPUNIT_ASSERT( all_elements(r2 == T(0)) );
CPPUNIT_ASSERT( all_elements(r4 == T(1)) );
t1 = add(T(1)*v1, T(1)*v2);
t2 = sub(T(1)*v1, T(1)*v2);
t3 = mul(T(1)*v1, T(1)*v2);
t4 = tvmet::element_wise::div(T(1)*v1, T(1)*v2);
CPPUNIT_ASSERT( all_elements(t1 == r1) );
CPPUNIT_ASSERT( all_elements(t2 == r2) );
CPPUNIT_ASSERT( all_elements(t3 == r3) );
CPPUNIT_ASSERT( all_elements(t4 == r4) );
}
/*
* sum of vector
*/
template <class T>
void
TestXprVectorFunctions<T>::fn_sum() {
T t = sum(scalar*v1); // alias vBig
CPPUNIT_ASSERT( t == (vBig(0) + vBig(1) + vBig(2)));
}
/*
* product of vector
*/
template <class T>
void
TestXprVectorFunctions<T>::fn_product() {
T t = product(scalar*v1); // alias vBig
CPPUNIT_ASSERT( t == (vBig(0) * vBig(1) * vBig(2)));
}
/*
* dot product
*/
template <class T>
void
TestXprVectorFunctions<T>::fn_dot() {
vector_type v2(v1);
T t1 = dot(T(1)*v1, T(1)*v2);
CPPUNIT_ASSERT( t1 == 14 );
T t2 = dot(T(1)*v1, T(1)*vBig);
CPPUNIT_ASSERT( t2 == 140 );
T t3 = dot(T(1)*v1, T(1)*vOne);
CPPUNIT_ASSERT( t3 == 6 );
T t4 = dot(T(1)*v1, T(1)*vZero);
CPPUNIT_ASSERT( t4 == 0 );
T t5 = dot(T(1)*v1, vOne);
CPPUNIT_ASSERT( t5 == 6 );
T t6 = dot(vOne, T(1)*v1);
CPPUNIT_ASSERT( t6 == 6 );
}
/*
* cross product
*/
template <class T>
void
TestXprVectorFunctions<T>::fn_cross() {
vector_type v2(v1);
vector_type t1 = cross(T(1)*v1, T(1)*v2);
CPPUNIT_ASSERT( all_elements(t1 == vZero) ); // orthogonal vectors
vector_type t2 = cross(T(1)*v1, T(1)*vBig);
CPPUNIT_ASSERT( all_elements(t2 == vZero) ); // orthogonal vectors
const vector_type r(-1,2,-1);
vector_type t3 = cross(T(1)*v1, T(1)*vOne);
CPPUNIT_ASSERT( all_elements(t3 == r) );
vector_type t4 = cross(T(1)*v1, T(1)*vZero);
CPPUNIT_ASSERT( all_elements(t4 == vZero) );
vector_type t5 = cross(T(1)*v2, v1); // orthogonal
CPPUNIT_ASSERT( all_elements(t5 == vZero) );
vector_type t6 = cross(v1, T(1)*v2); // orthogonal
CPPUNIT_ASSERT( all_elements(t6 == vZero) );
}
/*
* norm
* Note: norm2 for ints specialized
*/
template <class T>
void
TestXprVectorFunctions<T>::fn_norm() {
vector_type v2;
vector_type r;
vector_type t5;
T t1 = norm1(T(1)*v1);
T t2 = norm1(-v1);
T t3 = norm2(T(1)*v1);
T t4 = norm2(-v1);
CPPUNIT_ASSERT( t1 == sum(v1) );
CPPUNIT_ASSERT( t2 == sum(v1) );
CPPUNIT_ASSERT( std::abs(t3 - std::sqrt(static_cast<typename tvmet::NumericTraits<T>::float_type>(14)))
< std::numeric_limits<T>::epsilon() );
CPPUNIT_ASSERT( std::abs(t4 - std::sqrt(static_cast<typename tvmet::NumericTraits<T>::float_type>(14)))
< std::numeric_limits<T>::epsilon() );
r = v1/norm2(v1); // norm2 is checked before
t5 = normalize(T(1)*v1);
CPPUNIT_ASSERT( all_elements(t5 == r) );
}
/*****************************************************************************
* Implementation Part II (specialized for ints)
****************************************************************************/
/*
* norm on int specialized due to rounding problems
*/
template <>
void
TestXprVectorFunctions<int>::fn_norm() {
vector_type v2;
int t1 = norm1(int(1)*v1);
int t2 = norm1(-v1);
CPPUNIT_ASSERT( t1 == sum(v1) );
CPPUNIT_ASSERT( t2 == sum(v1) );
}
#endif // TVMET_TEST_XPR_VECTORFUNC_H
// Local Variables:
// mode:C++
// End:
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