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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: MatrixOperators.h,v 1.33 2004/06/17 15:53:12 opetzold Exp $
*/
#ifndef TVMET_MATRIX_OPERATORS_H
#define TVMET_MATRIX_OPERATORS_H
namespace tvmet {
/*********************************************************
* PART I: DECLARATION
*********************************************************/
template<class T, int Rows, int Cols>
std::ostream& operator<<(std::ostream& os,
const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* Member operators (arithmetic and bit ops)
*++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
/*
* update_operator(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>)
* update_operator(Matrix<T1, Rows, Cols>, XprMatrix<E, Rows, Cols> rhs)
* Note: per se element wise
* \todo: the operator*= can have element wise mul oder product, decide!
*/
#define TVMET_DECLARE_MACRO(NAME, OP) \
template<class T1, class T2, int Rows, int Cols> \
Matrix<T1, Rows, Cols>& \
operator OP (Matrix<T1, Rows, Cols>& lhs, \
const Matrix<T2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \
\
template<class T, class E, int Rows, int Cols> \
Matrix<T, Rows, Cols>& \
operator OP (Matrix<T, Rows, Cols>& lhs, \
const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
TVMET_DECLARE_MACRO(add_eq, +=) // per se element wise
TVMET_DECLARE_MACRO(sub_eq, -=) // per se element wise
namespace element_wise {
TVMET_DECLARE_MACRO(mul_eq, *=) // see note
TVMET_DECLARE_MACRO(div_eq, /=) // not defined for vectors
}
#undef TVMET_DECLARE_MACRO
/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* Matrix arithmetic operators implemented by functions
* add, sub, mul and div
*+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
/*
* operator(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>)
* operator(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>)
* operator(Matrix<T, Rows, Cols>, XprMatrix<E, Rows, Cols>)
* Note: per se element wise
*/
#define TVMET_DECLARE_MACRO(NAME, OP) \
template<class T1, class T2, int Rows, int Cols> \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME<T1, T2>, \
MatrixConstReference<T1, Rows, Cols>, \
MatrixConstReference<T2, Rows, Cols> \
>, \
Rows, Cols \
> \
operator OP (const Matrix<T1, Rows, Cols>& lhs, \
const Matrix<T2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \
\
template<class E, class T, int Rows, int Cols> \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME<typename E::value_type, T>, \
XprMatrix<E, Rows, Cols>, \
MatrixConstReference<T, Rows, Cols> \
>, \
Rows, Cols \
> \
operator OP (const XprMatrix<E, Rows, Cols>& lhs, \
const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \
\
template<class T, class E, int Rows, int Cols> \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME<typename E::value_type, T>, \
MatrixConstReference<T, Rows, Cols>, \
XprMatrix<E, Rows, Cols> \
>, \
Rows, Cols \
> \
operator OP (const Matrix<T, Rows, Cols>& lhs, \
const XprMatrix<E, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
TVMET_DECLARE_MACRO(add, +) // per se element wise
TVMET_DECLARE_MACRO(sub, -) // per se element wise
namespace element_wise {
TVMET_DECLARE_MACRO(mul, *) // see as prod()
TVMET_DECLARE_MACRO(div, /) // not defined for matrizes
}
#undef TVMET_DECLARE_MACRO
/*
* operator(Matrix<T, Rows, Cols>, POD)
* operator(POD, Matrix<T, Rows, Cols>)
* Note: operations +,-,*,/ are per se element wise
*/
#define TVMET_DECLARE_MACRO(NAME, OP, POD) \
template<class T, int Rows, int Cols> \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME<T, POD >, \
MatrixConstReference<T, Rows, Cols>, \
XprLiteral<POD > \
>, \
Rows, Cols \
> \
operator OP (const Matrix<T, Rows, Cols>& lhs, \
POD rhs) TVMET_CXX_ALWAYS_INLINE; \
\
template<class T, int Rows, int Cols> \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME< POD, T>, \
XprLiteral< POD >, \
MatrixConstReference<T, Rows, Cols> \
>, \
Rows, Cols \
> \
operator OP (POD lhs, \
const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
TVMET_DECLARE_MACRO(add, +, int)
TVMET_DECLARE_MACRO(sub, -, int)
TVMET_DECLARE_MACRO(mul, *, int)
TVMET_DECLARE_MACRO(div, /, int)
#if defined(TVMET_HAVE_LONG_LONG)
TVMET_DECLARE_MACRO(add, +, long long int)
TVMET_DECLARE_MACRO(sub, -, long long int)
TVMET_DECLARE_MACRO(mul, *, long long int)
TVMET_DECLARE_MACRO(div, /, long long int)
#endif // defined(TVMET_HAVE_LONG_LONG)
TVMET_DECLARE_MACRO(add, +, float)
TVMET_DECLARE_MACRO(sub, -, float)
TVMET_DECLARE_MACRO(mul, *, float)
TVMET_DECLARE_MACRO(div, /, float)
TVMET_DECLARE_MACRO(add, +, double)
TVMET_DECLARE_MACRO(sub, -, double)
TVMET_DECLARE_MACRO(mul, *, double)
TVMET_DECLARE_MACRO(div, /, double)
#if defined(TVMET_HAVE_LONG_DOUBLE)
TVMET_DECLARE_MACRO(add, +, long double)
TVMET_DECLARE_MACRO(sub, -, long double)
TVMET_DECLARE_MACRO(mul, *, long double)
TVMET_DECLARE_MACRO(div, /, long double)
#endif // defined(TVMET_HAVE_LONG_DOUBLE)
#undef TVMET_DECLARE_MACRO
#if defined(TVMET_HAVE_COMPLEX)
/*
* operator(Matrix<T, Rows, Cols>, complex<T>)
* operator(complex<T>, Matrix<T, Rows, Cols>)
* Note: operations +,-,*,/ are per se element wise
* \todo type promotion
*/
#define TVMET_DECLARE_MACRO(NAME, OP) \
template<class T, int Rows, int Cols> \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME< std::complex<T>, std::complex<T> >, \
MatrixConstReference< std::complex<T>, Rows, Cols>, \
XprLiteral<std::complex<T> > \
>, \
Rows, Cols \
> \
operator OP (const Matrix< std::complex<T>, Rows, Cols>& lhs, \
const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \
\
template<class T, int Rows, int Cols> \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME< std::complex<T>, std::complex<T> >, \
XprLiteral< std::complex<T> >, \
MatrixConstReference< std::complex<T>, Rows, Cols> \
>, \
Rows, Cols \
> \
operator OP (const std::complex<T>& lhs, \
const Matrix< std::complex<T>, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
TVMET_DECLARE_MACRO(add, +)
TVMET_DECLARE_MACRO(sub, -)
TVMET_DECLARE_MACRO(mul, *)
TVMET_DECLARE_MACRO(div, /)
#undef TVMET_DECLARE_MACRO
#endif // defined(TVMET_HAVE_COMPLEX)
/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* matrix specific operator*() = prod() operations
*+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
template<class T1, int Rows1, int Cols1,
class T2, int Cols2>
XprMatrix<
XprMMProduct<
MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1,
MatrixConstReference<T2, Cols1, Cols2>, Cols2
>,
Rows1, Cols2
>
operator*(const Matrix<T1, Rows1, Cols1>& lhs,
const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
template<class E1, int Rows1, int Cols1,
class T2, int Cols2>
XprMatrix<
XprMMProduct<
XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1,
MatrixConstReference<T2, Cols1, Cols2>, Cols2
>,
Rows1, Cols2
>
operator*(const XprMatrix<E1, Rows1, Cols1>& lhs,
const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
template<class T1, int Rows1, int Cols1,
class E2, int Cols2>
XprMatrix<
XprMMProduct<
MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1,
XprMatrix<E2, Cols1, Cols2>, Cols2
>,
Rows1, Cols2
>
operator*(const Matrix<T1, Rows1, Cols1>& lhs,
const XprMatrix<E2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE;
/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* matrix-vector specific prod( ... ) operators
*+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
template<class T1, int Rows, int Cols, class T2>
XprVector<
XprMVProduct<
MatrixConstReference<T1, Rows, Cols>, Rows, Cols,
VectorConstReference<T2, Cols>
>,
Rows
>
operator*(const Matrix<T1, Rows, Cols>& lhs,
const Vector<T2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
template<class T1, class E2, int Rows, int Cols>
XprVector<
XprMVProduct<
MatrixConstReference<T1, Rows, Cols>, Rows, Cols,
XprVector<E2, Cols>
>,
Rows
>
operator*(const Matrix<T1, Rows, Cols>& lhs,
const XprVector<E2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
template<class E1, class T2, int Rows, int Cols>
XprVector<
XprMVProduct<
XprMatrix<E1, Rows, Cols>, Rows, Cols,
VectorConstReference<T2, Cols>
>,
Rows
>
operator*(const XprMatrix<E1, Rows, Cols>& lhs,
const Vector<T2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* global unary operators
*+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
/*
* unary_operator(Matrix<T, Rows, Cols>)
* Note: per se element wise
*/
#define TVMET_DECLARE_MACRO(NAME, OP) \
template <class T, int Rows, int Cols> \
XprMatrix< \
XprUnOp< \
Fcnl_##NAME<T>, \
MatrixConstReference<T, Rows, Cols> \
>, \
Rows, Cols \
> \
operator OP (const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE;
TVMET_DECLARE_MACRO(neg, -)
#undef TVMET_DECLARE_MACRO
/*********************************************************
* PART II: IMPLEMENTATION
*********************************************************/
/**
* \fn operator<<(std::ostream& os, const Matrix<T, Rows, Cols>& rhs)
* \brief Overload operator for i/o
* \ingroup _binary_operator
*/
template<class T, int Rows, int Cols>
inline
std::ostream& operator<<(std::ostream& os, const Matrix<T, Rows, Cols>& rhs) {
return rhs.print_on(os);
}
/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* Member operators (arithmetic and bit ops)
*++++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
/*
* update_operator(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>)
* update_operator(Matrix<T1, Rows, Cols>, XprMatrix<E, Rows, Cols> rhs)
* Note: per se element wise
* \todo: the operator*= can have element wise mul oder product, decide!
*/
#define TVMET_IMPLEMENT_MACRO(NAME, OP) \
template<class T1, class T2, int Rows, int Cols> \
inline \
Matrix<T1, Rows, Cols>& \
operator OP (Matrix<T1, Rows, Cols>& lhs, const Matrix<T2, Rows, Cols>& rhs) { \
return lhs.M_##NAME(rhs); \
} \
\
template<class T, class E, int Rows, int Cols> \
inline \
Matrix<T, Rows, Cols>& \
operator OP (Matrix<T, Rows, Cols>& lhs, const XprMatrix<E, Rows, Cols>& rhs) { \
return lhs.M_##NAME(rhs); \
}
TVMET_IMPLEMENT_MACRO(add_eq, +=) // per se element wise
TVMET_IMPLEMENT_MACRO(sub_eq, -=) // per se element wise
namespace element_wise {
TVMET_IMPLEMENT_MACRO(mul_eq, *=) // see note
TVMET_IMPLEMENT_MACRO(div_eq, /=) // not defined for vectors
}
#undef TVMET_IMPLEMENT_MACRO
/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* Matrix arithmetic operators implemented by functions
* add, sub, mul and div
*+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
/*
* operator(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>)
* operator(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>)
* operator(Matrix<T, Rows, Cols>, XprMatrix<E, Rows, Cols>)
* Note: per se element wise
*/
#define TVMET_IMPLEMENT_MACRO(NAME, OP) \
template<class T1, class T2, int Rows, int Cols> \
inline \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME<T1, T2>, \
MatrixConstReference<T1, Rows, Cols>, \
MatrixConstReference<T2, Rows, Cols> \
>, \
Rows, Cols \
> \
operator OP (const Matrix<T1, Rows, Cols>& lhs, const Matrix<T2, Rows, Cols>& rhs) { \
return NAME(lhs, rhs); \
} \
\
template<class E, class T, int Rows, int Cols> \
inline \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME<typename E::value_type, T>, \
XprMatrix<E, Rows, Cols>, \
MatrixConstReference<T, Rows, Cols> \
>, \
Rows, Cols \
> \
operator OP (const XprMatrix<E, Rows, Cols>& lhs, const Matrix<T, Rows, Cols>& rhs) { \
return NAME(lhs, rhs); \
} \
\
template<class T, class E, int Rows, int Cols> \
inline \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME<typename E::value_type, T>, \
MatrixConstReference<T, Rows, Cols>, \
XprMatrix<E, Rows, Cols> \
>, \
Rows, Cols \
> \
operator OP (const Matrix<T, Rows, Cols>& lhs, const XprMatrix<E, Rows, Cols>& rhs) { \
return NAME(lhs, rhs); \
}
TVMET_IMPLEMENT_MACRO(add, +) // per se element wise
TVMET_IMPLEMENT_MACRO(sub, -) // per se element wise
namespace element_wise {
TVMET_IMPLEMENT_MACRO(mul, *) // see as prod()
TVMET_IMPLEMENT_MACRO(div, /) // not defined for matrizes
}
#undef TVMET_IMPLEMENT_MACRO
/*
* operator(Matrix<T, Rows, Cols>, POD)
* operator(POD, Matrix<T, Rows, Cols>)
* Note: operations +,-,*,/ are per se element wise
*/
#define TVMET_IMPLEMENT_MACRO(NAME, OP, POD) \
template<class T, int Rows, int Cols> \
inline \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME<T, POD >, \
MatrixConstReference<T, Rows, Cols>, \
XprLiteral<POD > \
>, \
Rows, Cols \
> \
operator OP (const Matrix<T, Rows, Cols>& lhs, POD rhs) { \
return NAME (lhs, rhs); \
} \
\
template<class T, int Rows, int Cols> \
inline \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME< POD, T>, \
XprLiteral< POD >, \
MatrixConstReference<T, Rows, Cols> \
>, \
Rows, Cols \
> \
operator OP (POD lhs, const Matrix<T, Rows, Cols>& rhs) { \
return NAME (lhs, rhs); \
}
TVMET_IMPLEMENT_MACRO(add, +, int)
TVMET_IMPLEMENT_MACRO(sub, -, int)
TVMET_IMPLEMENT_MACRO(mul, *, int)
TVMET_IMPLEMENT_MACRO(div, /, int)
#if defined(TVMET_HAVE_LONG_LONG)
TVMET_IMPLEMENT_MACRO(add, +, long long int)
TVMET_IMPLEMENT_MACRO(sub, -, long long int)
TVMET_IMPLEMENT_MACRO(mul, *, long long int)
TVMET_IMPLEMENT_MACRO(div, /, long long int)
#endif // defined(TVMET_HAVE_LONG_LONG)
TVMET_IMPLEMENT_MACRO(add, +, float)
TVMET_IMPLEMENT_MACRO(sub, -, float)
TVMET_IMPLEMENT_MACRO(mul, *, float)
TVMET_IMPLEMENT_MACRO(div, /, float)
TVMET_IMPLEMENT_MACRO(add, +, double)
TVMET_IMPLEMENT_MACRO(sub, -, double)
TVMET_IMPLEMENT_MACRO(mul, *, double)
TVMET_IMPLEMENT_MACRO(div, /, double)
#if defined(TVMET_HAVE_LONG_DOUBLE)
TVMET_IMPLEMENT_MACRO(add, +, long double)
TVMET_IMPLEMENT_MACRO(sub, -, long double)
TVMET_IMPLEMENT_MACRO(mul, *, long double)
TVMET_IMPLEMENT_MACRO(div, /, long double)
#endif // defined(TVMET_HAVE_LONG_DOUBLE)
#undef TVMET_IMPLEMENT_MACRO
#if defined(TVMET_HAVE_COMPLEX)
/*
* operator(Matrix<T, Rows, Cols>, complex<T>)
* operator(complex<T>, Matrix<T, Rows, Cols>)
* Note: operations +,-,*,/ are per se element wise
* \todo type promotion
*/
#define TVMET_IMPLEMENT_MACRO(NAME, OP) \
template<class T, int Rows, int Cols> \
inline \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME< std::complex<T>, std::complex<T> >, \
MatrixConstReference< std::complex<T>, Rows, Cols>, \
XprLiteral<std::complex<T> > \
>, \
Rows, Cols \
> \
operator OP (const Matrix< std::complex<T>, Rows, Cols>& lhs, \
const std::complex<T>& rhs) { \
return NAME (lhs, rhs); \
} \
\
template<class T, int Rows, int Cols> \
inline \
XprMatrix< \
XprBinOp< \
Fcnl_##NAME< std::complex<T>, std::complex<T> >, \
XprLiteral< std::complex<T> >, \
MatrixConstReference< std::complex<T>, Rows, Cols> \
>, \
Rows, Cols \
> \
operator OP (const std::complex<T>& lhs, \
const Matrix< std::complex<T>, Rows, Cols>& rhs) { \
return NAME (lhs, rhs); \
}
TVMET_IMPLEMENT_MACRO(add, +)
TVMET_IMPLEMENT_MACRO(sub, -)
TVMET_IMPLEMENT_MACRO(mul, *)
TVMET_IMPLEMENT_MACRO(div, /)
#undef TVMET_IMPLEMENT_MACRO
#endif // defined(TVMET_HAVE_COMPLEX)
/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* matrix specific operator*() = prod() operations
*+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
/**
* \fn operator*(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs)
* \brief multiply two Matrices.
* \ingroup _binary_operator
* \note The rows2 has to be equal to cols1.
* \sa prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs)
*/
template<class T1, int Rows1, int Cols1,
class T2, int Cols2>
inline
XprMatrix<
XprMMProduct<
MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1,
MatrixConstReference<T2, Cols1, Cols2>, Cols2
>,
Rows1, Cols2
>
operator*(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) {
return prod(lhs, rhs);
}
/**
* \fn operator*(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs)
* \brief Evaluate the product of XprMatrix and Matrix.
* \ingroup _binary_operator
* \sa prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs)
*/
template<class E1, int Rows1, int Cols1,
class T2, int Cols2>
inline
XprMatrix<
XprMMProduct<
XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1,
MatrixConstReference<T2, Cols1, Cols2>, Cols2
>,
Rows1, Cols2
>
operator*(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) {
return prod(lhs, rhs);
}
/**
* \fn operator*(const Matrix<T1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs)
* \brief Evaluate the product of Matrix and XprMatrix.
* \ingroup _binary_operator
* \sa prod(const Matrix<T, Rows1, Cols1>& lhs, const XprMatrix<E, Cols1, Cols2>& rhs)
*/
template<class T1, int Rows1, int Cols1,
class E2, int Cols2>
inline
XprMatrix<
XprMMProduct<
MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1,
XprMatrix<E2, Cols1, Cols2>, Cols2
>,
Rows1, Cols2
>
operator*(const Matrix<T1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) {
return prod(lhs, rhs);
}
/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* matrix-vector specific prod( ... ) operators
*+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
/**
* \fn operator*(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs)
* \brief multiply a Matrix with a Vector.
* \ingroup _binary_operator
* \note The length of the Vector has to be equal to the number of Columns.
* \sa prod(const Matrix<T1, Rows, Cols>& m, const Vector<T2, Cols>& v)
*/
template<class T1, int Rows, int Cols, class T2>
inline
XprVector<
XprMVProduct<
MatrixConstReference<T1, Rows, Cols>, Rows, Cols,
VectorConstReference<T2, Cols>
>,
Rows
>
operator*(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) {
return prod(lhs, rhs);
}
/**
* \fn operator*(const Matrix<T1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs)
* \brief Function for the matrix-vector-product
* \ingroup _binary_operator
* \sa prod(const Matrix<T, Rows, Cols>& lhs, const XprVector<E, Cols>& rhs)
*/
template<class T1, class E2, int Rows, int Cols>
inline
XprVector<
XprMVProduct<
MatrixConstReference<T1, Rows, Cols>, Rows, Cols,
XprVector<E2, Cols>
>,
Rows
>
operator*(const Matrix<T1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) {
return prod(lhs, rhs);
}
/**
* \fn operator*(const XprMatrix<E1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs)
* \brief Compute the product of an XprMatrix with a Vector.
* \ingroup _binary_operator
* \sa prod(const XprMatrix<E, Rows, Cols>& lhs, const Vector<T, Cols>& rhs)
*/
template<class E1, class T2, int Rows, int Cols>
inline
XprVector<
XprMVProduct<
XprMatrix<E1, Rows, Cols>, Rows, Cols,
VectorConstReference<T2, Cols>
>,
Rows
>
operator*(const XprMatrix<E1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) {
return prod(lhs, rhs);
}
/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++
* global unary operators
*+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/
/*
* unary_operator(Matrix<T, Rows, Cols>)
* Note: per se element wise
*/
#define TVMET_IMPLEMENT_MACRO(NAME, OP) \
template <class T, int Rows, int Cols> \
inline \
XprMatrix< \
XprUnOp< \
Fcnl_##NAME<T>, \
MatrixConstReference<T, Rows, Cols> \
>, \
Rows, Cols \
> \
operator OP (const Matrix<T, Rows, Cols>& rhs) { \
typedef XprUnOp< \
Fcnl_##NAME<T>, \
MatrixConstReference<T, Rows, Cols> \
> expr_type; \
return XprMatrix<expr_type, Rows, Cols>(expr_type(rhs.const_ref())); \
}
TVMET_IMPLEMENT_MACRO(neg, -)
#undef TVMET_IMPLEMENT_MACRO
} // namespace tvmet
#endif // TVMET_MATRIX_OPERATORS_H
// Local Variables:
// mode:C++
// End:
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