| /* |
| * 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: MatrixFunctions.h,v 1.59 2004/11/04 16:21:17 opetzold Exp $ |
| */ |
| |
| #ifndef TVMET_MATRIX_FUNCTIONS_H |
| #define TVMET_MATRIX_FUNCTIONS_H |
| |
| #include <tvmet/Extremum.h> |
| |
| namespace tvmet { |
| |
| /* forwards */ |
| template<class T, std::size_t Sz> class Vector; |
| template<class T, std::size_t Sz> class VectorConstReference; |
| |
| |
| /********************************************************* |
| * PART I: DECLARATION |
| *********************************************************/ |
| |
| |
| /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| * Vector arithmetic functions add, sub, mul and div |
| *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ |
| |
| |
| /* |
| * function(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) |
| * function(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>) |
| * function(Matrix<T, Rows, Cols>, XprMatrix<E, Rows, Cols>) |
| */ |
| #define TVMET_DECLARE_MACRO(NAME) \ |
| template<class T1, class T2, std::size_t Rows, std::size_t Cols> \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME<T1, T2>, \ |
| MatrixConstReference<T1, Rows, Cols>, \ |
| MatrixConstReference<T2, Rows, Cols> \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (const Matrix<T1, Rows, Cols>& lhs, \ |
| const Matrix<T2, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \ |
| \ |
| template<class E, class T, std::size_t Rows, std::size_t Cols> \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME<typename E::value_type, T>, \ |
| XprMatrix<E, Rows, Cols>, \ |
| MatrixConstReference<T, Rows, Cols> \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (const XprMatrix<E, Rows, Cols>& lhs, \ |
| const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \ |
| \ |
| template<class T, class E, std::size_t Rows, std::size_t Cols> \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME<typename E::value_type, T>, \ |
| MatrixConstReference<T, Rows, Cols>, \ |
| XprMatrix<E, Rows, Cols> \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (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) // not defined for matrizes |
| TVMET_DECLARE_MACRO(div) // not defined for matrizes |
| } |
| |
| #undef TVMET_DECLARE_MACRO |
| |
| |
| /* |
| * function(Matrix<T, Rows, Cols>, POD) |
| * function(POD, Matrix<T, Rows, Cols>) |
| * Note: - operations +,-,*,/ are per se element wise |
| */ |
| #define TVMET_DECLARE_MACRO(NAME, POD) \ |
| template<class T, std::size_t Rows, std::size_t Cols> \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME<T, POD >, \ |
| MatrixConstReference<T, Rows, Cols>, \ |
| XprLiteral<POD > \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (const Matrix<T, Rows, Cols>& lhs, \ |
| POD rhs) TVMET_CXX_ALWAYS_INLINE; \ |
| \ |
| template<class T, std::size_t Rows, std::size_t Cols> \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME< POD, T>, \ |
| XprLiteral< POD >, \ |
| MatrixConstReference<T, Rows, Cols> \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (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 |
| |
| 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 |
| |
| #undef TVMET_DECLARE_MACRO |
| |
| |
| #if defined(TVMET_HAVE_COMPLEX) |
| /* |
| * function(Matrix<T, Rows, Cols>, complex<T>) |
| * function(complex<T>, Matrix<T, Rows, Cols>) |
| * Note: - operations +,-,*,/ are per se element wise |
| * \todo type promotion |
| */ |
| #define TVMET_DECLARE_MACRO(NAME) \ |
| template<class T, std::size_t Rows, std::size_t Cols> \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ |
| MatrixConstReference< std::complex<T>, Rows, Cols>, \ |
| XprLiteral<std::complex<T> > \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (const Matrix< std::complex<T>, Rows, Cols>& lhs, \ |
| const std::complex<T>& rhs) TVMET_CXX_ALWAYS_INLINE; \ |
| \ |
| template<class T, std::size_t Rows, std::size_t Cols> \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ |
| XprLiteral< std::complex<T> >, \ |
| MatrixConstReference< std::complex<T>, Rows, Cols> \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (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 prod( ... ) functions |
| *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ |
| |
| |
| template<class T1, std::size_t Rows1, std::size_t Cols1, |
| class T2, std::size_t Cols2> |
| XprMatrix< |
| XprMMProduct< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) |
| MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) |
| >, |
| Rows1, Cols2 // return Dim |
| > |
| prod(const Matrix<T1, Rows1, Cols1>& lhs, |
| const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class E1, std::size_t Rows1, std::size_t Cols1, |
| class T2, std::size_t Cols2> |
| XprMatrix< |
| XprMMProduct< |
| XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) |
| MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) |
| >, |
| Rows1, Cols2 // return Dim |
| > |
| prod(const XprMatrix<E1, Rows1, Cols1>& lhs, |
| const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T1, std::size_t Rows1, std::size_t Cols1, |
| class E2, std::size_t Cols2> |
| XprMatrix< |
| XprMMProduct< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) |
| XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) |
| >, |
| Rows1, Cols2 // return Dim |
| > |
| prod(const Matrix<T1, Rows1, Cols1>& lhs, |
| const XprMatrix<E2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T1, std::size_t Rows1, std::size_t Cols1, |
| class T2, std::size_t Cols2> |
| XprMatrix< |
| XprMMProductTransposed< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) |
| MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) |
| >, |
| Cols2, Rows1 // return Dim |
| > |
| trans_prod(const Matrix<T1, Rows1, Cols1>& lhs, |
| const Matrix<T2, Cols1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T1, std::size_t Rows1, std::size_t Cols1, |
| class T2, std::size_t Cols2> // Rows2 = Rows1 |
| XprMatrix< |
| XprMtMProduct< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) |
| MatrixConstReference<T2, Rows1, Cols2>, Cols2 // M2(Rows1, Cols2) |
| >, |
| Cols1, Cols2 // return Dim |
| > |
| MtM_prod(const Matrix<T1, Rows1, Cols1>& lhs, |
| const Matrix<T2, Rows1, Cols2>& rhs) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T1, std::size_t Rows1, std::size_t Cols1, |
| class T2, std::size_t Rows2> |
| XprMatrix< |
| XprMMtProduct< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) |
| MatrixConstReference<T2, Rows2, Cols1>, Cols1 // M2(Rows2, Cols1) |
| >, |
| Rows1, Rows2 // return Dim |
| > |
| MMt_prod(const Matrix<T1, Rows1, Cols1>& lhs, |
| const Matrix<T2, Rows2, Cols1>& rhs) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| * matrix-vector specific prod( ... ) functions |
| *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ |
| |
| |
| template<class T1, class T2, std::size_t Rows, std::size_t Cols> |
| XprVector< |
| XprMVProduct< |
| MatrixConstReference<T1, Rows, Cols>, Rows, Cols, // M(Rows, Cols) |
| VectorConstReference<T2, Cols> // V |
| >, |
| Rows |
| > |
| prod(const Matrix<T1, Rows, Cols>& lhs, |
| const Vector<T2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T1, class E2, std::size_t Rows, std::size_t Cols> |
| XprVector< |
| XprMVProduct< |
| MatrixConstReference<T1, Rows, Cols>, Rows, Cols, |
| XprVector<E2, Cols> |
| >, |
| Rows |
| > |
| prod(const Matrix<T1, Rows, Cols>& lhs, |
| const XprVector<E2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class E1, class T2, std::size_t Rows, std::size_t Cols> |
| XprVector< |
| XprMVProduct< |
| XprMatrix<E1, Rows, Cols>, Rows, Cols, // M(Rows, Cols) |
| VectorConstReference<T2, Cols> // V |
| >, |
| Rows |
| > |
| prod(const XprMatrix<E1, Rows, Cols>& lhs, |
| const Vector<T2, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T1, class T2, std::size_t Rows, std::size_t Cols> |
| XprVector< |
| XprMtVProduct< |
| MatrixConstReference<T1, Rows, Cols>, Rows, Cols, // M(Rows, Cols) |
| VectorConstReference<T2, Rows> // V |
| >, |
| Cols |
| > |
| Mtx_prod(const Matrix<T1, Rows, Cols>& lhs, |
| const Vector<T2, Rows>& rhs) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| * matrix specific functions |
| *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ |
| |
| |
| template<class T, std::size_t Rows, std::size_t Cols> |
| XprMatrix< |
| XprMatrixTranspose< |
| MatrixConstReference<T, Rows, Cols> |
| >, |
| Cols, Rows |
| > |
| trans(const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T, std::size_t Sz> |
| typename NumericTraits<T>::sum_type |
| trace(const Matrix<T, Sz, Sz>& m) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T, std::size_t Rows, std::size_t Cols> |
| XprVector< |
| XprMatrixRow< |
| MatrixConstReference<T, Rows, Cols>, |
| Rows, Cols |
| >, |
| Cols |
| > |
| row(const Matrix<T, Rows, Cols>& m, |
| std::size_t no) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T, std::size_t Rows, std::size_t Cols> |
| XprVector< |
| XprMatrixCol< |
| MatrixConstReference<T, Rows, Cols>, |
| Rows, Cols |
| >, |
| Rows |
| > |
| col(const Matrix<T, Rows, Cols>& m, |
| std::size_t no) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T, std::size_t Sz> |
| XprVector< |
| XprMatrixDiag< |
| MatrixConstReference<T, Sz, Sz>, |
| Sz |
| >, |
| Sz |
| > |
| diag(const Matrix<T, Sz, Sz>& m) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| * min/max unary functions |
| *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ |
| |
| |
| template<class E, std::size_t Rows, std::size_t Cols> |
| Extremum<typename E::value_type, std::size_t, matrix_tag> |
| maximum(const XprMatrix<E, Rows, Cols>& e); // NOT TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T, std::size_t Rows, std::size_t Cols> |
| Extremum<T, std::size_t, matrix_tag> |
| maximum(const Matrix<T, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class E, std::size_t Rows, std::size_t Cols> |
| Extremum<typename E::value_type, std::size_t, matrix_tag> |
| minimum(const XprMatrix<E, Rows, Cols>& e); // NOT TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T, std::size_t Rows, std::size_t Cols> |
| Extremum<T, std::size_t, matrix_tag> |
| minimum(const Matrix<T, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class E, std::size_t Rows, std::size_t Cols> |
| typename E::value_type |
| max(const XprMatrix<E, Rows, Cols>& e); // NOT TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T, std::size_t Rows, std::size_t Cols> |
| T max(const Matrix<T, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class E, std::size_t Rows, std::size_t Cols> |
| typename E::value_type |
| min(const XprMatrix<E, Rows, Cols>& e); // NOT TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T, std::size_t Rows, std::size_t Cols> |
| T min(const Matrix<T, Rows, Cols>& m) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| * other unary functions |
| *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ |
| |
| |
| template<class T, std::size_t Rows, std::size_t Cols> |
| XprMatrix< |
| XprIdentity<T, Rows, Cols>, |
| Rows, Cols |
| > |
| identity() TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class M> |
| XprMatrix< |
| XprIdentity< |
| typename M::value_type, |
| M::Rows, M::Cols>, |
| M::Rows, M::Cols |
| > |
| identity() TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| template<class T, std::size_t Rows, std::size_t Cols> |
| XprMatrix< |
| MatrixConstReference<T, Rows, Cols>, |
| Rows, Cols |
| > |
| cmatrix_ref(const T* mem) TVMET_CXX_ALWAYS_INLINE; |
| |
| |
| /********************************************************* |
| * PART II: IMPLEMENTATION |
| *********************************************************/ |
| |
| |
| /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| * Vector arithmetic functions add, sub, mul and div |
| *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ |
| |
| |
| /* |
| * function(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) |
| * function(XprMatrix<E, Rows, Cols>, Matrix<T, Rows, Cols>) |
| * function(Matrix<T, Rows, Cols>, XprMatrix<E, Rows, Cols>) |
| */ |
| #define TVMET_IMPLEMENT_MACRO(NAME) \ |
| template<class T1, class T2, std::size_t Rows, std::size_t Cols> \ |
| inline \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME<T1, T2>, \ |
| MatrixConstReference<T1, Rows, Cols>, \ |
| MatrixConstReference<T2, Rows, Cols> \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (const Matrix<T1, Rows, Cols>& lhs, const Matrix<T2, Rows, Cols>& rhs) { \ |
| typedef XprBinOp < \ |
| Fcnl_##NAME<T1, T2>, \ |
| MatrixConstReference<T1, Rows, Cols>, \ |
| MatrixConstReference<T2, Rows, Cols> \ |
| > expr_type; \ |
| return XprMatrix<expr_type, Rows, Cols>( \ |
| expr_type(lhs.const_ref(), rhs.const_ref())); \ |
| } \ |
| \ |
| template<class E, class T, std::size_t Rows, std::size_t Cols> \ |
| inline \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME<typename E::value_type, T>, \ |
| XprMatrix<E, Rows, Cols>, \ |
| MatrixConstReference<T, Rows, Cols> \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (const XprMatrix<E, Rows, Cols>& lhs, const Matrix<T, Rows, Cols>& rhs) { \ |
| typedef XprBinOp< \ |
| Fcnl_##NAME<typename E::value_type, T>, \ |
| XprMatrix<E, Rows, Cols>, \ |
| MatrixConstReference<T, Rows, Cols> \ |
| > expr_type; \ |
| return XprMatrix<expr_type, Rows, Cols>( \ |
| expr_type(lhs, rhs.const_ref())); \ |
| } \ |
| \ |
| template<class T, class E, std::size_t Rows, std::size_t Cols> \ |
| inline \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME<typename E::value_type, T>, \ |
| MatrixConstReference<T, Rows, Cols>, \ |
| XprMatrix<E, Rows, Cols> \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (const Matrix<T, Rows, Cols>& lhs, const XprMatrix<E, Rows, Cols>& rhs) { \ |
| typedef XprBinOp< \ |
| Fcnl_##NAME<T, typename E::value_type>, \ |
| MatrixConstReference<T, Rows, Cols>, \ |
| XprMatrix<E, Rows, Cols> \ |
| > expr_type; \ |
| return XprMatrix<expr_type, Rows, Cols>( \ |
| expr_type(lhs.const_ref(), rhs)); \ |
| } |
| |
| TVMET_IMPLEMENT_MACRO(add) // per se element wise |
| TVMET_IMPLEMENT_MACRO(sub) // per se element wise |
| namespace element_wise { |
| TVMET_IMPLEMENT_MACRO(mul) // not defined for matrizes |
| TVMET_IMPLEMENT_MACRO(div) // not defined for matrizes |
| } |
| |
| #undef TVMET_IMPLEMENT_MACRO |
| |
| |
| /* |
| * function(Matrix<T, Rows, Cols>, POD) |
| * function(POD, Matrix<T, Rows, Cols>) |
| * Note: - operations +,-,*,/ are per se element wise |
| */ |
| #define TVMET_IMPLEMENT_MACRO(NAME, POD) \ |
| template<class T, std::size_t Rows, std::size_t Cols> \ |
| inline \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME<T, POD >, \ |
| MatrixConstReference<T, Rows, Cols>, \ |
| XprLiteral<POD > \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (const Matrix<T, Rows, Cols>& lhs, POD rhs) { \ |
| typedef XprBinOp< \ |
| Fcnl_##NAME<T, POD >, \ |
| MatrixConstReference<T, Rows, Cols>, \ |
| XprLiteral< POD > \ |
| > expr_type; \ |
| return XprMatrix<expr_type, Rows, Cols>( \ |
| expr_type(lhs.const_ref(), XprLiteral< POD >(rhs))); \ |
| } \ |
| \ |
| template<class T, std::size_t Rows, std::size_t Cols> \ |
| inline \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME< POD, T>, \ |
| XprLiteral< POD >, \ |
| MatrixConstReference<T, Rows, Cols> \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (POD lhs, const Matrix<T, Rows, Cols>& rhs) { \ |
| typedef XprBinOp< \ |
| Fcnl_##NAME< POD, T>, \ |
| XprLiteral< POD >, \ |
| MatrixConstReference<T, Rows, Cols> \ |
| > expr_type; \ |
| return XprMatrix<expr_type, Rows, Cols>( \ |
| expr_type(XprLiteral< POD >(lhs), rhs.const_ref())); \ |
| } |
| |
| 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 |
| |
| 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 |
| |
| #undef TVMET_IMPLEMENT_MACRO |
| |
| |
| #if defined(TVMET_HAVE_COMPLEX) |
| /* |
| * function(Matrix<T, Rows, Cols>, complex<T>) |
| * function(complex<T>, Matrix<T, Rows, Cols>) |
| * Note: - operations +,-,*,/ are per se element wise |
| * \todo type promotion |
| */ |
| #define TVMET_IMPLEMENT_MACRO(NAME) \ |
| template<class T, std::size_t Rows, std::size_t Cols> \ |
| inline \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ |
| MatrixConstReference< std::complex<T>, Rows, Cols>, \ |
| XprLiteral<std::complex<T> > \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (const Matrix< std::complex<T>, Rows, Cols>& lhs, \ |
| const std::complex<T>& rhs) { \ |
| typedef XprBinOp< \ |
| Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ |
| MatrixConstReference< std::complex<T>, Rows, Cols>, \ |
| XprLiteral< std::complex<T> > \ |
| > expr_type; \ |
| return XprMatrix<expr_type, Rows, Cols>( \ |
| expr_type(lhs.const_ref(), XprLiteral< std::complex<T> >(rhs))); \ |
| } \ |
| \ |
| template<class T, std::size_t Rows, std::size_t Cols> \ |
| inline \ |
| XprMatrix< \ |
| XprBinOp< \ |
| Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ |
| XprLiteral< std::complex<T> >, \ |
| MatrixConstReference< std::complex<T>, Rows, Cols> \ |
| >, \ |
| Rows, Cols \ |
| > \ |
| NAME (const std::complex<T>& lhs, \ |
| const Matrix< std::complex<T>, Rows, Cols>& rhs) { \ |
| typedef XprBinOp< \ |
| Fcnl_##NAME< std::complex<T>, std::complex<T> >, \ |
| XprLiteral< std::complex<T> >, \ |
| MatrixConstReference<T, Rows, Cols> \ |
| > expr_type; \ |
| return XprMatrix<expr_type, Rows, Cols>( \ |
| expr_type(XprLiteral< std::complex<T> >(lhs), rhs.const_ref())); \ |
| } |
| |
| 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 prod( ... ) functions |
| *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ |
| |
| |
| /** |
| * \fn prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) |
| * \brief Function for the matrix-matrix-product. |
| * \ingroup _binary_function |
| * \note The rows2 has to be equal to cols1. |
| */ |
| template<class T1, std::size_t Rows1, std::size_t Cols1, |
| class T2, std::size_t Cols2> |
| inline |
| XprMatrix< |
| XprMMProduct< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) |
| MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) |
| >, |
| Rows1, Cols2 // return Dim |
| > |
| prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) { |
| typedef XprMMProduct< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, |
| MatrixConstReference<T2, Cols1, Cols2>, Cols2 |
| > expr_type; |
| return XprMatrix<expr_type, Rows1, Cols2>( |
| expr_type(lhs.const_ref(), rhs.const_ref())); |
| } |
| |
| |
| /** |
| * \fn prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) |
| * \brief Evaluate the product of XprMatrix and Matrix. |
| * \ingroup _binary_function |
| */ |
| template<class E1, std::size_t Rows1, std::size_t Cols1, |
| class T2, std::size_t Cols2> |
| inline |
| XprMatrix< |
| XprMMProduct< |
| XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) |
| MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) |
| >, |
| Rows1, Cols2 // return Dim |
| > |
| prod(const XprMatrix<E1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) { |
| typedef XprMMProduct< |
| XprMatrix<E1, Rows1, Cols1>, Rows1, Cols1, |
| MatrixConstReference<T2, Cols1, Cols2>, Cols2 |
| > expr_type; |
| return XprMatrix<expr_type, Rows1, Cols2>( |
| expr_type(lhs, rhs.const_ref())); |
| } |
| |
| |
| /** |
| * \fn prod(const Matrix<T1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) |
| * \brief Evaluate the product of Matrix and XprMatrix. |
| * \ingroup _binary_function |
| */ |
| template<class T1, std::size_t Rows1, std::size_t Cols1, |
| class E2, std::size_t Cols2> |
| inline |
| XprMatrix< |
| XprMMProduct< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) |
| XprMatrix<E2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) |
| >, |
| Rows1, Cols2 // return Dim |
| > |
| prod(const Matrix<T1, Rows1, Cols1>& lhs, const XprMatrix<E2, Cols1, Cols2>& rhs) { |
| typedef XprMMProduct< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, |
| XprMatrix<E2, Cols1, Cols2>, Cols2 |
| > expr_type; |
| return XprMatrix<expr_type, Rows1, Cols2>( |
| expr_type(lhs.const_ref(), rhs)); |
| } |
| |
| |
| /** |
| * \fn trans_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) |
| * \brief Function for the trans(matrix-matrix-product) |
| * \ingroup _binary_function |
| * Perform on given Matrix M1 and M2: |
| * \f[ |
| * (M_1\,M_2)^T |
| * \f] |
| */ |
| template<class T1, std::size_t Rows1, std::size_t Cols1, |
| class T2, std::size_t Cols2> |
| inline |
| XprMatrix< |
| XprMMProductTransposed< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) |
| MatrixConstReference<T2, Cols1, Cols2>, Cols2 // M2(Cols1, Cols2) |
| >, |
| Cols2, Rows1 // return Dim |
| > |
| trans_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Cols1, Cols2>& rhs) { |
| typedef XprMMProductTransposed< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, |
| MatrixConstReference<T2, Cols1, Cols2>, Cols2 |
| > expr_type; |
| return XprMatrix<expr_type, Cols2, Rows1>( |
| expr_type(lhs.const_ref(), rhs.const_ref())); |
| } |
| |
| |
| /** |
| * \fn MtM_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Rows1, Cols2>& rhs) |
| * \brief Function for the trans(matrix)-matrix-product. |
| * \ingroup _binary_function |
| * using formula |
| * \f[ |
| * M_1^{T}\,M_2 |
| * \f] |
| * \note The number of cols of matrix 2 have to be equal to number of rows of |
| * matrix 1, since matrix 1 is trans - the result is a (Cols1 x Cols2) |
| * matrix. |
| */ |
| template<class T1, std::size_t Rows1, std::size_t Cols1, |
| class T2, std::size_t Cols2> // Rows2 = Rows1 |
| inline |
| XprMatrix< |
| XprMtMProduct< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) |
| MatrixConstReference<T2, Rows1, Cols2>, Cols2 // M2(Rows1, Cols2) |
| >, |
| Cols1, Cols2 // return Dim |
| > |
| MtM_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Rows1, Cols2>& rhs) { |
| typedef XprMtMProduct< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, |
| MatrixConstReference<T2, Rows1, Cols2>, Cols2 |
| > expr_type; |
| return XprMatrix<expr_type, Cols1, Cols2>( |
| expr_type(lhs.const_ref(), rhs.const_ref())); |
| } |
| |
| |
| /** |
| * \fn MMt_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Rows2, Cols1>& rhs) |
| * \brief Function for the matrix-trans(matrix)-product. |
| * \ingroup _binary_function |
| * \note The Cols2 has to be equal to Cols1. |
| */ |
| template<class T1, std::size_t Rows1, std::size_t Cols1, |
| class T2, std::size_t Rows2> |
| inline |
| XprMatrix< |
| XprMMtProduct< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, // M1(Rows1, Cols1) |
| MatrixConstReference<T2, Rows2, Cols1>, Cols1 // M2(Rows2, Cols1) |
| >, |
| Rows1, Rows2 // return Dim |
| > |
| MMt_prod(const Matrix<T1, Rows1, Cols1>& lhs, const Matrix<T2, Rows2, Cols1>& rhs) { |
| typedef XprMMtProduct< |
| MatrixConstReference<T1, Rows1, Cols1>, Rows1, Cols1, |
| MatrixConstReference<T2, Rows2, Cols1>, Cols1 |
| > expr_type; |
| return XprMatrix<expr_type, Rows1, Rows2>( |
| expr_type(lhs.const_ref(), rhs.const_ref())); |
| } |
| |
| |
| /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| * matrix-vector specific prod( ... ) functions |
| *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ |
| |
| |
| /** |
| * \fn prod(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) |
| * \brief Function for the matrix-vector-product |
| * \ingroup _binary_function |
| */ |
| template<class T1, class T2, std::size_t Rows, std::size_t Cols> |
| inline |
| XprVector< |
| XprMVProduct< |
| MatrixConstReference<T1, Rows, Cols>, Rows, Cols, // M(Rows, Cols) |
| VectorConstReference<T2, Cols> // V |
| >, |
| Rows |
| > |
| prod(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) { |
| typedef XprMVProduct< |
| MatrixConstReference<T1, Rows, Cols>, Rows, Cols, |
| VectorConstReference<T2, Cols> |
| > expr_type; |
| return XprVector<expr_type, Rows>( |
| expr_type(lhs.const_ref(), rhs.const_ref())); |
| } |
| |
| |
| /** |
| * \fn prod(const Matrix<T1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) |
| * \brief Function for the matrix-vector-product |
| * \ingroup _binary_function |
| */ |
| template<class T1, class E2, std::size_t Rows, std::size_t Cols> |
| inline |
| XprVector< |
| XprMVProduct< |
| MatrixConstReference<T1, Rows, Cols>, Rows, Cols, |
| XprVector<E2, Cols> |
| >, |
| Rows |
| > |
| prod(const Matrix<T1, Rows, Cols>& lhs, const XprVector<E2, Cols>& rhs) { |
| typedef XprMVProduct< |
| MatrixConstReference<T1, Rows, Cols>, Rows, Cols, |
| XprVector<E2, Cols> |
| > expr_type; |
| return XprVector<expr_type, Rows>( |
| expr_type(lhs.const_ref(), rhs)); |
| } |
| |
| |
| /* |
| * \fn prod(const XprMatrix<E, Rows, Cols>& lhs, const Vector<T, Cols>& rhs) |
| * \brief Compute the product of an XprMatrix with a Vector. |
| * \ingroup _binary_function |
| */ |
| template<class E1, class T2, std::size_t Rows, std::size_t Cols> |
| inline |
| XprVector< |
| XprMVProduct< |
| XprMatrix<E1, Rows, Cols>, Rows, Cols, // M(Rows, Cols) |
| VectorConstReference<T2, Cols> // V |
| >, |
| Rows |
| > |
| prod(const XprMatrix<E1, Rows, Cols>& lhs, const Vector<T2, Cols>& rhs) { |
| typedef XprMVProduct< |
| XprMatrix<E1, Rows, Cols>, Rows, Cols, |
| VectorConstReference<T2, Cols> |
| > expr_type; |
| return XprVector<expr_type, Rows>( |
| expr_type(lhs, rhs.const_ref())); |
| } |
| |
| |
| /** |
| * \fn Mtx_prod(const Matrix<T1, Rows, Cols>& matrix, const Vector<T2, Rows>& vector) |
| * \brief Function for the trans(matrix)-vector-product |
| * \ingroup _binary_function |
| * Perform on given Matrix M and vector x: |
| * \f[ |
| * M^T\, x |
| * \f] |
| */ |
| template<class T1, class T2, std::size_t Rows, std::size_t Cols> |
| inline |
| XprVector< |
| XprMtVProduct< |
| MatrixConstReference<T1, Rows, Cols>, Rows, Cols, // M(Rows, Cols) |
| VectorConstReference<T2, Rows> // V |
| >, |
| Cols |
| > |
| Mtx_prod(const Matrix<T1, Rows, Cols>& lhs, const Vector<T2, Rows>& rhs) { |
| typedef XprMtVProduct< |
| MatrixConstReference<T1, Rows, Cols>, Rows, Cols, |
| VectorConstReference<T2, Rows> |
| > expr_type; |
| return XprVector<expr_type, Cols>( |
| expr_type(lhs.const_ref(), rhs.const_ref())); |
| } |
| |
| |
| /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| * matrix specific functions |
| *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ |
| |
| |
| /** |
| * \fn trans(const Matrix<T, Rows, Cols>& rhs) |
| * \brief Transpose the matrix |
| * \ingroup _unary_function |
| */ |
| template<class T, std::size_t Rows, std::size_t Cols> |
| inline |
| XprMatrix< |
| XprMatrixTranspose< |
| MatrixConstReference<T, Rows, Cols> |
| >, |
| Cols, Rows |
| > |
| trans(const Matrix<T, Rows, Cols>& rhs) { |
| typedef XprMatrixTranspose< |
| MatrixConstReference<T, Rows, Cols> |
| > expr_type; |
| return XprMatrix<expr_type, Cols, Rows>( |
| expr_type(rhs.const_ref())); |
| } |
| |
| |
| /* |
| * \fn trace(const Matrix<T, Sz, Sz>& m) |
| * \brief Compute the trace of a square matrix. |
| * \ingroup _unary_function |
| * |
| * Simply compute the trace of the given matrix as: |
| * \f[ |
| * \sum_{k = 0}^{Sz-1} m(k, k) |
| * \f] |
| */ |
| template<class T, std::size_t Sz> |
| inline |
| typename NumericTraits<T>::sum_type |
| trace(const Matrix<T, Sz, Sz>& m) { |
| return meta::Matrix<Sz, Sz, 0, 0>::trace(m); |
| } |
| |
| |
| /** |
| * \fn row(const Matrix<T, Rows, Cols>& m, std::size_t no) |
| * \brief Returns a row vector of the given matrix. |
| * \ingroup _binary_function |
| */ |
| template<class T, std::size_t Rows, std::size_t Cols> |
| inline |
| XprVector< |
| XprMatrixRow< |
| MatrixConstReference<T, Rows, Cols>, |
| Rows, Cols |
| >, |
| Cols |
| > |
| row(const Matrix<T, Rows, Cols>& m, std::size_t no) { |
| typedef XprMatrixRow< |
| MatrixConstReference<T, Rows, Cols>, |
| Rows, Cols |
| > expr_type; |
| return XprVector<expr_type, Cols>(expr_type(m.const_ref(), no)); |
| } |
| |
| |
| /** |
| * \fn col(const Matrix<T, Rows, Cols>& m, std::size_t no) |
| * \brief Returns a column vector of the given matrix. |
| * \ingroup _binary_function |
| */ |
| template<class T, std::size_t Rows, std::size_t Cols> |
| inline |
| XprVector< |
| XprMatrixCol< |
| MatrixConstReference<T, Rows, Cols>, |
| Rows, Cols |
| >, |
| Rows |
| > |
| col(const Matrix<T, Rows, Cols>& m, std::size_t no) { |
| typedef XprMatrixCol< |
| MatrixConstReference<T, Rows, Cols>, |
| Rows, Cols |
| > expr_type; |
| return XprVector<expr_type, Rows>(expr_type(m.const_ref(), no)); |
| } |
| |
| |
| /** |
| * \fn diag(const Matrix<T, Sz, Sz>& m) |
| * \brief Returns the diagonal vector of the given square matrix. |
| * \ingroup _unary_function |
| */ |
| template<class T, std::size_t Sz> |
| inline |
| XprVector< |
| XprMatrixDiag< |
| MatrixConstReference<T, Sz, Sz>, |
| Sz |
| >, |
| Sz |
| > |
| diag(const Matrix<T, Sz, Sz>& m) { |
| typedef XprMatrixDiag< |
| MatrixConstReference<T, Sz, Sz>, |
| Sz |
| > expr_type; |
| return XprVector<expr_type, Sz>(expr_type(m.const_ref())); |
| } |
| |
| |
| /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| * min/max unary functions |
| *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ |
| |
| |
| /** |
| * \fn maximum(const XprMatrix<E, Rows, Cols>& e) |
| * \brief Find the maximum of a matrix expression |
| * \ingroup _unary_function |
| */ |
| template<class E, std::size_t Rows, std::size_t Cols> |
| inline |
| Extremum<typename E::value_type, std::size_t, matrix_tag> |
| maximum(const XprMatrix<E, Rows, Cols>& e) { |
| typedef typename E::value_type value_type; |
| |
| value_type temp(e(0, 0)); |
| std::size_t row_no(0), col_no(0); |
| |
| for(std::size_t i = 0; i != Rows; ++i) { |
| for(std::size_t j = 0; j != Cols; ++j) { |
| if(e(i, j) > temp) { |
| temp = e(i, j); |
| row_no = i; |
| col_no = j; |
| } |
| } |
| } |
| |
| return Extremum<value_type, std::size_t, matrix_tag>(temp, row_no, col_no); |
| } |
| |
| |
| /** |
| * \fn maximum(const Matrix<T, Rows, Cols>& m) |
| * \brief Find the maximum of a matrix |
| * \ingroup _unary_function |
| */ |
| template<class T, std::size_t Rows, std::size_t Cols> |
| inline |
| Extremum<T, std::size_t, matrix_tag> |
| maximum(const Matrix<T, Rows, Cols>& m) { return maximum(m.as_expr()); } |
| |
| |
| /** |
| * \fn minimum(const XprMatrix<E, Rows, Cols>& e) |
| * \brief Find the minimum of a matrix expression |
| * \ingroup _unary_function |
| */ |
| template<class E, std::size_t Rows, std::size_t Cols> |
| inline |
| Extremum<typename E::value_type, std::size_t, matrix_tag> |
| minimum(const XprMatrix<E, Rows, Cols>& e) { |
| typedef typename E::value_type value_type; |
| |
| value_type temp(e(0, 0)); |
| std::size_t row_no(0), col_no(0); |
| |
| for(std::size_t i = 0; i != Rows; ++i) { |
| for(std::size_t j = 0; j != Cols; ++j) { |
| if(e(i, j) < temp) { |
| temp = e(i, j); |
| row_no = i; |
| col_no = j; |
| } |
| } |
| } |
| |
| return Extremum<value_type, std::size_t, matrix_tag>(temp, row_no, col_no); |
| } |
| |
| |
| /** |
| * \fn minimum(const Matrix<T, Rows, Cols>& m) |
| * \brief Find the minimum of a matrix |
| * \ingroup _unary_function |
| */ |
| template<class T, std::size_t Rows, std::size_t Cols> |
| inline |
| Extremum<T, std::size_t, matrix_tag> |
| minimum(const Matrix<T, Rows, Cols>& m) { return minimum(m.as_expr()); } |
| |
| |
| /** |
| * \fn max(const XprMatrix<E, Rows, Cols>& e) |
| * \brief Find the maximum of a matrix expression |
| * \ingroup _unary_function |
| */ |
| template<class E, std::size_t Rows, std::size_t Cols> |
| inline |
| typename E::value_type |
| max(const XprMatrix<E, Rows, Cols>& e) { |
| typedef typename E::value_type value_type; |
| |
| value_type temp(e(0, 0)); |
| |
| for(std::size_t i = 0; i != Rows; ++i) |
| for(std::size_t j = 0; j != Cols; ++j) |
| if(e(i, j) > temp) |
| temp = e(i, j); |
| |
| return temp; |
| } |
| |
| |
| /** |
| * \fn max(const Matrix<T, Rows, Cols>& m) |
| * \brief Find the maximum of a matrix |
| * \ingroup _unary_function |
| */ |
| template<class T, std::size_t Rows, std::size_t Cols> |
| inline |
| T max(const Matrix<T, Rows, Cols>& m) { |
| typedef T value_type; |
| typedef typename Matrix< |
| T, Rows, Cols |
| >::const_iterator const_iterator; |
| |
| const_iterator iter(m.begin()); |
| const_iterator last(m.end()); |
| value_type temp(*iter); |
| |
| for( ; iter != last; ++iter) |
| if(*iter > temp) |
| temp = *iter; |
| |
| return temp; |
| } |
| |
| |
| /** |
| * \fn min(const XprMatrix<E, Rows, Cols>& e) |
| * \brief Find the minimum of a matrix expression |
| * \ingroup _unary_function |
| */ |
| template<class E, std::size_t Rows, std::size_t Cols> |
| inline |
| typename E::value_type |
| min(const XprMatrix<E, Rows, Cols>& e) { |
| typedef typename E::value_type value_type; |
| |
| value_type temp(e(0, 0)); |
| |
| for(std::size_t i = 0; i != Rows; ++i) |
| for(std::size_t j = 0; j != Cols; ++j) |
| if(e(i, j) < temp) |
| temp = e(i, j); |
| |
| return temp; |
| } |
| |
| |
| /** |
| * \fn min(const Matrix<T, Rows, Cols>& m) |
| * \brief Find the minimum of a matrix |
| * \ingroup _unary_function |
| */ |
| template<class T, std::size_t Rows, std::size_t Cols> |
| inline |
| T min(const Matrix<T, Rows, Cols>& m) { |
| typedef T value_type; |
| typedef typename Matrix< |
| T, Rows, Cols |
| >::const_iterator const_iterator; |
| |
| const_iterator iter(m.begin()); |
| const_iterator last(m.end()); |
| value_type temp(*iter); |
| |
| for( ; iter != last; ++iter) |
| if(*iter < temp) |
| temp = *iter; |
| |
| return temp; |
| } |
| |
| |
| /*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ |
| * other unary functions |
| *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ |
| |
| |
| /** |
| * \fn XprMatrix<XprIdentity<typename M::value_type, M::Rows, M::Cols>, M::Rows, M::Cols>identity() |
| * \brief Fill a matrix to an identity matrix. |
| * \ingroup _unary_function |
| * |
| * \note The matrix doesn't need to be square. Only the elements |
| * where the current number of rows are equal to columns |
| * will be set to 1, else to 0. |
| * |
| * \par Usage: |
| * \code |
| * typedef Matrix<double,3,3> matrix_type; |
| * ... |
| * matrix_type E( identity<double, 3, 3>() ); |
| * \endcode |
| * |
| * Note, we have to specify the type, number of rows and columns |
| * since ADL can't work here. |
| * |
| * |
| * |
| * \since release 1.6.0 |
| */ |
| template<class T, std::size_t Rows, std::size_t Cols> |
| inline |
| XprMatrix< |
| XprIdentity<T, Rows, Cols>, |
| Rows, Cols |
| > |
| identity() { |
| typedef XprIdentity<T, Rows, Cols> expr_type; |
| |
| return XprMatrix<expr_type, Rows, Cols>(expr_type()); |
| } |
| |
| /** |
| * \fn XprMatrix<XprIdentity<typename M::value_type, M::Rows, M::Cols>, M::Rows, M::Cols>identity() |
| * \brief Fill a matrix to an identity matrix (convenience wrapper |
| * for matrix typedefs). |
| * \ingroup _unary_function |
| * |
| * \note The matrix doesn't need to be square. Only the elements |
| * where the current number of rows are equal to columns |
| * will be set to 1, else to 0. |
| * |
| * \par Usage: |
| * \code |
| * typedef Matrix<double,3,3> matrix_type; |
| * ... |
| * matrix_type E( identity<matrix_type>() ); |
| * \endcode |
| * |
| * Note, we have to specify the matrix type, since ADL can't work here. |
| * |
| * \since release 1.6.0 |
| */ |
| template<class M> |
| inline |
| XprMatrix< |
| XprIdentity< |
| typename M::value_type, |
| M::Rows, M::Cols>, |
| M::Rows, M::Cols |
| > |
| identity() { |
| return identity<typename M::value_type, M::Rows, M::Cols>(); |
| } |
| |
| |
| /** |
| * \fn cmatrix_ref(const T* mem) |
| * \brief Creates an expression wrapper for a C like matrices. |
| * \ingroup _unary_function |
| * |
| * This is like creating a matrix of external data, as described |
| * at \ref construct. With this function you wrap an expression |
| * around a C style matrix and you can operate directly with it |
| * as usual. |
| * |
| * \par Example: |
| * \code |
| * static float lhs[3][3] = { |
| * {-1, 0, 1}, { 1, 0, 1}, {-1, 0, -1} |
| * }; |
| * static float rhs[3][3] = { |
| * { 0, 1, 1}, { 0, 1, -1}, { 0, -1, 1} |
| * }; |
| * ... |
| * |
| * typedef Matrix<float, 3, 3> matrix_type; |
| * |
| * matrix_type M( cmatrix_ref<float, 3, 3>(&lhs[0][0]) |
| * * cmatrix_ref<float, 3, 3>(&rhs[0][0]) ); |
| * \endcode |
| * |
| * \since release 1.6.0 |
| */ |
| template<class T, std::size_t Rows, std::size_t Cols> |
| inline |
| XprMatrix< |
| MatrixConstReference<T, Rows, Cols>, |
| Rows, Cols |
| > |
| cmatrix_ref(const T* mem) { |
| typedef MatrixConstReference<T, Rows, Cols> expr_type; |
| |
| return XprMatrix<expr_type, Rows, Cols>(expr_type(mem)); |
| }; |
| |
| |
| } // namespace tvmet |
| |
| #endif // TVMET_MATRIX_FUNCTIONS_H |
| |
| // Local Variables: |
| // mode:C++ |
| // End: |
