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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: TestTraitsComplex.h,v 1.2 2004/11/04 18:12:40 opetzold Exp $
*/
#ifndef TVMET_TEST_NUMERIC_TRAITS_H
#define TVMET_TEST_NUMERIC_TRAITS_H
#include <cppunit/extensions/HelperMacros.h>
#include <complex>
#include <tvmet/Vector.h>
#include <tvmet/Matrix.h>
#include <cassert>
template <class T>
class TestTraitsComplex : public CppUnit::TestFixture
{
CPPUNIT_TEST_SUITE( TestTraitsComplex );
CPPUNIT_TEST( Real );
CPPUNIT_TEST( Imag );
CPPUNIT_TEST( Conj );
CPPUNIT_TEST( Abs );
CPPUNIT_TEST( Sqrt );
CPPUNIT_TEST( Norm_1 );
CPPUNIT_TEST( Norm_2 );
CPPUNIT_TEST( Norm_Inf );
CPPUNIT_TEST( Equals );
CPPUNIT_TEST_SUITE_END();
private:
typedef tvmet::Vector<T, 3> vector_type;
typedef tvmet::Matrix<T, 3, 3> matrix_type;
public:
TestTraitsComplex()
: m_p_real( 3), m_p_imag( 4),
m_n_real(-3), m_n_imag(-4),
m_z1(m_p_real, m_p_imag),
m_z2(m_n_real, m_p_imag),
m_z3(m_n_real, m_n_imag),
m_z4(m_p_real, m_n_imag)
{ }
public: // cppunit interface
/** cppunit hook for fixture set up. */
void setUp();
/** cppunit hook for fixture tear down. */
void tearDown();
protected:
void Real();
void Imag();
void Conj();
void Abs();
void Sqrt();
void Norm_1();
void Norm_2();
void Norm_Inf();
void Equals();
private:
// Helper
void AbsHelper(tvmet::dispatch<true>,
typename tvmet::Traits<T>::base_type);
void AbsHelper(tvmet::dispatch<false>,
typename tvmet::Traits<T>::base_type);
void SqrtHelper(tvmet::dispatch<true>);
void SqrtHelper(tvmet::dispatch<false>);
void NormHelper(tvmet::dispatch<true>,
typename tvmet::Traits<T>::base_type);
void NormHelper(tvmet::dispatch<false>,
typename tvmet::Traits<T>::base_type);
private:
typedef typename tvmet::Traits<T>::base_type base_type;
typedef T value_type;
const base_type m_p_real;
const base_type m_p_imag;
const base_type m_n_real;
const base_type m_n_imag;
// complex quadrant I ... IV
const value_type m_z1;
const value_type m_z2;
const value_type m_z3;
const value_type m_z4;
};
/*****************************************************************************
* Implementation Part I (cppunit part)
****************************************************************************/
template <class T>
void TestTraitsComplex<T>::setUp () { }
template <class T>
void TestTraitsComplex<T>::tearDown() { }
/*****************************************************************************
* Implementation Part II
****************************************************************************/
template <class T>
void
TestTraitsComplex<T>::Real()
{
typedef typename tvmet::Traits<T>::base_type base_type;
base_type r1 = tvmet::Traits<T>::real(m_z1);
base_type r2 = tvmet::Traits<T>::real(m_z2);
base_type r3 = tvmet::Traits<T>::real(m_z3);
base_type r4 = tvmet::Traits<T>::real(m_z4);
CPPUNIT_ASSERT( r1 == m_p_real );
CPPUNIT_ASSERT( r2 == m_n_real );
CPPUNIT_ASSERT( r3 == m_n_real );
CPPUNIT_ASSERT( r4 == m_p_real );
}
template <class T>
void
TestTraitsComplex<T>::Imag()
{
typedef typename tvmet::Traits<T>::base_type base_type;
base_type i1 = tvmet::Traits<T>::imag(m_z1);
base_type i2 = tvmet::Traits<T>::imag(m_z2);
base_type i3 = tvmet::Traits<T>::imag(m_z3);
base_type i4 = tvmet::Traits<T>::imag(m_z4);
CPPUNIT_ASSERT( i1 == m_p_imag );
CPPUNIT_ASSERT( i2 == m_p_imag );
CPPUNIT_ASSERT( i3 == m_n_imag );
CPPUNIT_ASSERT( i4 == m_n_imag );
}
// conj only for signed types !!
template <> void TestTraitsComplex<std::complex<unsigned char> >::Conj() { }
template <> void TestTraitsComplex<std::complex<unsigned short int> >::Conj() { }
template <> void TestTraitsComplex<std::complex<unsigned int> >::Conj() { }
template <> void TestTraitsComplex<std::complex<unsigned long> >::Conj() { }
template <class T>
void
TestTraitsComplex<T>::Conj()
{
typedef typename tvmet::Traits<T>::value_type value_type;
typedef typename tvmet::Traits<T>::base_type base_type;
enum {
is_signed = std::numeric_limits<base_type>::is_signed
};
// conjugate
value_type conj_z1 = tvmet::Traits<T>::conj(m_z1);
value_type conj_z2 = tvmet::Traits<T>::conj(m_z2);
value_type conj_z3 = tvmet::Traits<T>::conj(m_z3);
value_type conj_z4 = tvmet::Traits<T>::conj(m_z4);
// real part
base_type r1 = tvmet::Traits<T>::real(conj_z1);
base_type r2 = tvmet::Traits<T>::real(conj_z2);
base_type r3 = tvmet::Traits<T>::real(conj_z3);
base_type r4 = tvmet::Traits<T>::real(conj_z4);
// imag part
base_type i1 = tvmet::Traits<T>::imag(conj_z1);
base_type i2 = tvmet::Traits<T>::imag(conj_z2);
base_type i3 = tvmet::Traits<T>::imag(conj_z3);
base_type i4 = tvmet::Traits<T>::imag(conj_z4);
// check on real part; real is tested before
CPPUNIT_ASSERT( r1 == tvmet::Traits<T>::real(m_z1) );
CPPUNIT_ASSERT( r2 == tvmet::Traits<T>::real(m_z2) );
CPPUNIT_ASSERT( r3 == tvmet::Traits<T>::real(m_z3) );
CPPUNIT_ASSERT( r4 == tvmet::Traits<T>::real(m_z4) );
// check on imag part
CPPUNIT_ASSERT( i1 == -tvmet::Traits<T>::imag(m_z1) );
CPPUNIT_ASSERT( i2 == -tvmet::Traits<T>::imag(m_z2) );
CPPUNIT_ASSERT( i3 == -tvmet::Traits<T>::imag(m_z3) );
CPPUNIT_ASSERT( i4 == -tvmet::Traits<T>::imag(m_z4) );
}
template <class T>
void
TestTraitsComplex<T>::Abs()
{
typedef typename tvmet::Traits<T>::base_type base_type;
enum {
is_signed = std::numeric_limits<base_type>::is_signed
};
base_type a1 = tvmet::Traits<T>::abs(m_z1);
base_type a2 = tvmet::Traits<T>::abs(m_z2);
base_type a3 = tvmet::Traits<T>::abs(m_z3);
base_type a4 = tvmet::Traits<T>::abs(m_z4);
// result depends on signed type
AbsHelper(tvmet::dispatch<is_signed>(), a1);
AbsHelper(tvmet::dispatch<is_signed>(), a2);
AbsHelper(tvmet::dispatch<is_signed>(), a3);
AbsHelper(tvmet::dispatch<is_signed>(), a4);
}
template <class T>
void
TestTraitsComplex<T>::AbsHelper(tvmet::dispatch<true>,
typename tvmet::Traits<T>::base_type r)
{
// signed type
CPPUNIT_ASSERT( r == 5 );
}
template <class T>
void
TestTraitsComplex<T>::AbsHelper(tvmet::dispatch<false>,
typename tvmet::Traits<T>::base_type r)
{
typedef typename tvmet::Traits<T>::base_type base_type;
base_type x = m_z1.real(); // sign doesn't matter on abs()
base_type y = m_z1.imag(); // sign doesn't matter on abs()
// unsigned type
CPPUNIT_ASSERT( r == static_cast<base_type>(
tvmet::Traits<base_type>::sqrt(x * x + y * y))
);
}
template <class T>
void
TestTraitsComplex<T>::Sqrt()
{
typedef typename tvmet::Traits<T>::base_type base_type;
enum {
is_signed = std::numeric_limits<base_type>::is_signed
};
// delegate tests
SqrtHelper(tvmet::dispatch<is_signed>());
}
template <class T>
void
TestTraitsComplex<T>::SqrtHelper(tvmet::dispatch<true>)
{
// signed type
typedef typename tvmet::Traits<T>::value_type value_type;
// sqrt
value_type z1 = tvmet::Traits<T>::sqrt(m_z1);
value_type z2 = tvmet::Traits<T>::sqrt(m_z2);
value_type z3 = tvmet::Traits<T>::sqrt(m_z3);
value_type z4 = tvmet::Traits<T>::sqrt(m_z4);
CPPUNIT_ASSERT( z1 == value_type(2,1) );
CPPUNIT_ASSERT( z2 == value_type(1,2) );
CPPUNIT_ASSERT( z3 == value_type(1,-2) );
CPPUNIT_ASSERT( z4 == value_type(2,-1) );
}
template <class T>
void
TestTraitsComplex<T>::SqrtHelper(tvmet::dispatch<false>)
{
// unsigned type
/* XXX
* very dirty - we assume we calculate right
* on "negative" complex types */
typedef typename tvmet::Traits<T>::value_type value_type;
// sqrt
value_type z1 = tvmet::Traits<T>::sqrt(m_z1);
value_type z2 = tvmet::Traits<T>::sqrt(m_z2);
CPPUNIT_ASSERT( z1 == value_type(2,1) );
CPPUNIT_ASSERT( z2 == value_type(1,2) );
}
template <class T>
void
TestTraitsComplex<T>::Norm_1()
{
typedef typename tvmet::Traits<T>::base_type base_type;
enum {
is_signed = std::numeric_limits<base_type>::is_signed
};
// norm_1
base_type n1 = tvmet::Traits<T>::norm_1(m_z1);
base_type n2 = tvmet::Traits<T>::norm_1(m_z2);
base_type n3 = tvmet::Traits<T>::norm_1(m_z3);
base_type n4 = tvmet::Traits<T>::norm_1(m_z4);
// result depends on signed type
NormHelper(tvmet::dispatch<is_signed>(), n1);
NormHelper(tvmet::dispatch<is_signed>(), n2);
NormHelper(tvmet::dispatch<is_signed>(), n3);
NormHelper(tvmet::dispatch<is_signed>(), n4);
}
template <class T>
void
TestTraitsComplex<T>::Norm_2()
{
typedef typename tvmet::Traits<T>::base_type base_type;
enum {
is_signed = std::numeric_limits<base_type>::is_signed
};
// norm_2
base_type n1 = tvmet::Traits<T>::norm_2(m_z1);
base_type n2 = tvmet::Traits<T>::norm_2(m_z2);
base_type n3 = tvmet::Traits<T>::norm_2(m_z3);
base_type n4 = tvmet::Traits<T>::norm_2(m_z4);
// result depends on signed type
NormHelper(tvmet::dispatch<is_signed>(), n1);
NormHelper(tvmet::dispatch<is_signed>(), n2);
NormHelper(tvmet::dispatch<is_signed>(), n3);
NormHelper(tvmet::dispatch<is_signed>(), n4);
}
template <class T>
void
TestTraitsComplex<T>::Norm_Inf()
{
typedef typename tvmet::Traits<T>::base_type base_type;
enum {
is_signed = std::numeric_limits<base_type>::is_signed
};
// norm_inf
base_type n1 = tvmet::Traits<T>::norm_inf(m_z1);
base_type n2 = tvmet::Traits<T>::norm_inf(m_z2);
base_type n3 = tvmet::Traits<T>::norm_inf(m_z3);
base_type n4 = tvmet::Traits<T>::norm_inf(m_z4);
// result depends on signed type
NormHelper(tvmet::dispatch<is_signed>(), n1);
NormHelper(tvmet::dispatch<is_signed>(), n2);
NormHelper(tvmet::dispatch<is_signed>(), n3);
NormHelper(tvmet::dispatch<is_signed>(), n4);
}
template <class T>
void
TestTraitsComplex<T>::NormHelper(tvmet::dispatch<true>,
typename tvmet::Traits<T>::base_type)
{
// XXX To be implement
}
template <class T>
void
TestTraitsComplex<T>::NormHelper(tvmet::dispatch<false>,
typename tvmet::Traits<T>::base_type)
{
// XXX To be implement
}
template <class T>
void
TestTraitsComplex<T>::Equals()
{
// XXX this test is to simple
typedef typename tvmet::Traits<T>::value_type value_type;
value_type lhs, rhs;
{
lhs = rhs = m_z1;
CPPUNIT_ASSERT( true == tvmet::Traits<T>::equals(lhs,rhs) );
rhs += m_z1;
CPPUNIT_ASSERT( false == tvmet::Traits<T>::equals(lhs,rhs) );
}
{
lhs = rhs = m_z2;
CPPUNIT_ASSERT( true == tvmet::Traits<T>::equals(lhs,rhs) );
rhs += m_z2;
CPPUNIT_ASSERT( false == tvmet::Traits<T>::equals(lhs,rhs) );
}
{
lhs = rhs = m_z3;
CPPUNIT_ASSERT( true == tvmet::Traits<T>::equals(lhs,rhs) );
rhs += m_z3;
CPPUNIT_ASSERT( false == tvmet::Traits<T>::equals(lhs,rhs) );
}
{
lhs = rhs = m_z4;
CPPUNIT_ASSERT( true == tvmet::Traits<T>::equals(lhs,rhs) );
rhs += m_z4;
CPPUNIT_ASSERT( false == tvmet::Traits<T>::equals(lhs,rhs) );
}
}
#endif // TVMET_TEST_NUMERIC_TRAITS_H
// Local Variables:
// mode:C++
// End:
|
