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Diff: tvmet/MatrixOperators.h
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- 1:cc2a9eb0bd55
diff -r fbfafa6bf5f9 -r cc2a9eb0bd55 tvmet/MatrixOperators.h --- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/tvmet/MatrixOperators.h Wed Oct 17 22:25:31 2012 +0000 @@ -0,0 +1,1287 @@ +/* + * Tiny Vector Matrix Library + * Dense Vector Matrix Libary of Tiny size using Expression Templates + * + * Copyright (C) 2001 - 2007 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 1.37 2007-06-23 15:58:58 opetzold Exp $ + */ + +#ifndef TVMET_MATRIX_OPERATORS_H +#define TVMET_MATRIX_OPERATORS_H + +namespace tvmet { + + +/********************************************************* + * PART I: DECLARATION + *********************************************************/ + + +template<class T, std::size_t Rows, std::size_t 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, std::size_t Rows, std::size_t 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, std::size_t Rows, std::size_t 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 +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod_eq, %=) + TVMET_DECLARE_MACRO(xor_eq, ^=) + TVMET_DECLARE_MACRO(and_eq, &=) + TVMET_DECLARE_MACRO(or_eq, |=) + TVMET_DECLARE_MACRO(shl_eq, <<=) + TVMET_DECLARE_MACRO(shr_eq, >>=) +} + +#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, std::size_t Rows, std::size_t 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, 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 \ +> \ +operator OP (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 \ +> \ +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, std::size_t Rows, std::size_t 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, std::size_t Rows, std::size_t 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, 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 \ +> \ +operator OP (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 \ +> \ +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, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t 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, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t 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, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t 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, std::size_t Rows, std::size_t 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, std::size_t Rows, std::size_t 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, std::size_t Rows, std::size_t 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; + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Matrix integer and compare operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) + * operator(XprMatrix<E>, Matrix<T, Rows, Cols>) + * operator(Matrix<T, Rows, Cols>, XprMatrix<E>) + * Note: operations are per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template<class T1, std::size_t Rows, std::size_t Cols, \ + class T2> \ +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, 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 \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, \ + const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Rows, std::size_t Cols, \ + class E> \ +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; + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %) + TVMET_DECLARE_MACRO(bitxor, ^) + TVMET_DECLARE_MACRO(bitand, &) + TVMET_DECLARE_MACRO(bitor, |) + TVMET_DECLARE_MACRO(shl, <<) + TVMET_DECLARE_MACRO(shr, >>) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >) +TVMET_DECLARE_MACRO(less, <) +TVMET_DECLARE_MACRO(greater_eq, >=) +TVMET_DECLARE_MACRO(less_eq, <=) +TVMET_DECLARE_MACRO(eq, ==) +TVMET_DECLARE_MACRO(not_eq, !=) +TVMET_DECLARE_MACRO(and, &&) +TVMET_DECLARE_MACRO(or, ||) + +#undef TVMET_DECLARE_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(Matrix<T, Rows, Cols>, complex<T>) + * operator(complex<T>, Matrix<T, Rows, Cols>) + * Note: - per se element wise + * - bit ops on complex<int> doesn't make sense, stay away + * \todo type promotion + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +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 \ +> \ +operator OP (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 \ +> \ +operator OP (const std::complex<T>& lhs, \ + const Matrix< std::complex<T>, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >) +TVMET_DECLARE_MACRO(less, <) +TVMET_DECLARE_MACRO(greater_eq, >=) +TVMET_DECLARE_MACRO(less_eq, <=) +TVMET_DECLARE_MACRO(eq, ==) +TVMET_DECLARE_MACRO(not_eq, !=) +TVMET_DECLARE_MACRO(and, &&) +TVMET_DECLARE_MACRO(or, ||) + +#undef TVMET_DECLARE_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/* + * 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, TP) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral<TP > \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T, Rows, Cols>& lhs, TP rhs) TVMET_CXX_ALWAYS_INLINE; \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< TP, T>, \ + XprLiteral< TP >, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (TP lhs, const Matrix<T, Rows, Cols>& rhs) TVMET_CXX_ALWAYS_INLINE; + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %, int) + TVMET_DECLARE_MACRO(bitxor, ^, int) + TVMET_DECLARE_MACRO(bitand, &, int) + TVMET_DECLARE_MACRO(bitor, |, int) + TVMET_DECLARE_MACRO(shl, <<, int) + TVMET_DECLARE_MACRO(shr, >>, int) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, int) +TVMET_DECLARE_MACRO(less, <, int) +TVMET_DECLARE_MACRO(greater_eq, >=, int) +TVMET_DECLARE_MACRO(less_eq, <=, int) +TVMET_DECLARE_MACRO(eq, ==, int) +TVMET_DECLARE_MACRO(not_eq, !=, int) +TVMET_DECLARE_MACRO(and, &&, int) +TVMET_DECLARE_MACRO(or, ||, int) + +#if defined(TVMET_HAVE_LONG_LONG) +// integer operators only +namespace element_wise { + TVMET_DECLARE_MACRO(mod, %, long long int) + TVMET_DECLARE_MACRO(bitxor, ^, long long int) + TVMET_DECLARE_MACRO(bitand, &, long long int) + TVMET_DECLARE_MACRO(bitor, |, long long int) + TVMET_DECLARE_MACRO(shl, <<, long long int) + TVMET_DECLARE_MACRO(shr, >>, long long int) +} + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, long long int) +TVMET_DECLARE_MACRO(less, <, long long int) +TVMET_DECLARE_MACRO(greater_eq, >=, long long int) +TVMET_DECLARE_MACRO(less_eq, <=, long long int) +TVMET_DECLARE_MACRO(eq, ==, long long int) +TVMET_DECLARE_MACRO(not_eq, !=, long long int) +TVMET_DECLARE_MACRO(and, &&, long long int) +TVMET_DECLARE_MACRO(or, ||, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, float) +TVMET_DECLARE_MACRO(less, <, float) +TVMET_DECLARE_MACRO(greater_eq, >=, float) +TVMET_DECLARE_MACRO(less_eq, <=, float) +TVMET_DECLARE_MACRO(eq, ==, float) +TVMET_DECLARE_MACRO(not_eq, !=, float) +TVMET_DECLARE_MACRO(and, &&, float) +TVMET_DECLARE_MACRO(or, ||, float) + +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, double) +TVMET_DECLARE_MACRO(less, <, double) +TVMET_DECLARE_MACRO(greater_eq, >=, double) +TVMET_DECLARE_MACRO(less_eq, <=, double) +TVMET_DECLARE_MACRO(eq, ==, double) +TVMET_DECLARE_MACRO(not_eq, !=, double) +TVMET_DECLARE_MACRO(and, &&, double) +TVMET_DECLARE_MACRO(or, ||, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +// necessary operators for eval functions +TVMET_DECLARE_MACRO(greater, >, long double) +TVMET_DECLARE_MACRO(less, <, long double) +TVMET_DECLARE_MACRO(greater_eq, >=, long double) +TVMET_DECLARE_MACRO(less_eq, <=, long double) +TVMET_DECLARE_MACRO(eq, ==, long double) +TVMET_DECLARE_MACRO(not_eq, !=, long double) +TVMET_DECLARE_MACRO(and, &&, long double) +TVMET_DECLARE_MACRO(or, ||, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_DECLARE_MACRO + + + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * global unary operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * unary_operator(Matrix<T, Rows, Cols>) + * Note: per se element wise + */ +#define TVMET_DECLARE_MACRO(NAME, OP) \ +template <class T, std::size_t Rows, std::size_t 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(not, !) +TVMET_DECLARE_MACRO(compl, ~) +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, std::size_t Rows, std::size_t 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, std::size_t Rows, std::size_t 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, std::size_t Rows, std::size_t 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 +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod_eq, %=) + TVMET_IMPLEMENT_MACRO(xor_eq, ^=) + TVMET_IMPLEMENT_MACRO(and_eq, &=) + TVMET_IMPLEMENT_MACRO(or_eq, |=) + TVMET_IMPLEMENT_MACRO(shl_eq, <<=) + TVMET_IMPLEMENT_MACRO(shr_eq, >>=) +} + +#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, 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 \ +> \ +operator OP (const Matrix<T1, Rows, Cols>& lhs, const Matrix<T2, Rows, Cols>& rhs) { \ + return NAME(lhs, rhs); \ +} \ + \ +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 \ +> \ +operator OP (const XprMatrix<E, Rows, Cols>& lhs, const Matrix<T, Rows, Cols>& rhs) { \ + return NAME(lhs, rhs); \ +} \ + \ +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 \ +> \ +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, std::size_t Rows, std::size_t 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, std::size_t Rows, std::size_t 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, 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 \ +> \ +operator OP (const Matrix< std::complex<T>, Rows, Cols>& lhs, \ + const std::complex<T>& rhs) { \ + return NAME (lhs, 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 \ +> \ +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, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t 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, std::size_t Rows1, std::size_t Cols1, + class T2, std::size_t 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, std::size_t Rows1, std::size_t Cols1, + class E2, std::size_t 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, std::size_t Rows, std::size_t 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, std::size_t Rows, std::size_t 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, std::size_t Rows, std::size_t 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); +} + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * Matrix integer and compare operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * operator(Matrix<T1, Rows, Cols>, Matrix<T2, Rows, Cols>) + * operator(XprMatrix<E>, Matrix<T, Rows, Cols>) + * operator(Matrix<T, Rows, Cols>, XprMatrix<E>) + * Note: operations are per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template<class T1, std::size_t Rows, std::size_t Cols, \ + class T2> \ +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) { \ + 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 \ +> \ +operator OP (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, std::size_t Rows, std::size_t Cols, \ + class E> \ +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) { \ + 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)); \ +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %) + TVMET_IMPLEMENT_MACRO(bitxor, ^) + TVMET_IMPLEMENT_MACRO(bitand, &) + TVMET_IMPLEMENT_MACRO(bitor, |) + TVMET_IMPLEMENT_MACRO(shl, <<) + TVMET_IMPLEMENT_MACRO(shr, >>) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >) +TVMET_IMPLEMENT_MACRO(less, <) +TVMET_IMPLEMENT_MACRO(greater_eq, >=) +TVMET_IMPLEMENT_MACRO(less_eq, <=) +TVMET_IMPLEMENT_MACRO(eq, ==) +TVMET_IMPLEMENT_MACRO(not_eq, !=) +TVMET_IMPLEMENT_MACRO(and, &&) +TVMET_IMPLEMENT_MACRO(or, ||) + +#undef TVMET_IMPLEMENT_MACRO + + +#if defined(TVMET_HAVE_COMPLEX) +/* + * operator(Matrix<T, Rows, Cols>, complex<T>) + * operator(complex<T>, Matrix<T, Rows, Cols>) + * Note: - per se element wise + * - bit ops on complex<int> doesn't make sense, stay away + * \todo type promotion + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +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 \ +> \ +operator OP (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 \ +> \ +operator OP (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())); \ +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >) +TVMET_IMPLEMENT_MACRO(less, <) +TVMET_IMPLEMENT_MACRO(greater_eq, >=) +TVMET_IMPLEMENT_MACRO(less_eq, <=) +TVMET_IMPLEMENT_MACRO(eq, ==) +TVMET_IMPLEMENT_MACRO(not_eq, !=) +TVMET_IMPLEMENT_MACRO(and, &&) +TVMET_IMPLEMENT_MACRO(or, ||) + +#undef TVMET_IMPLEMENT_MACRO + +#endif // defined(TVMET_HAVE_COMPLEX) + + +/* + * 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, TP) \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral<TP > \ + >, \ + Rows, Cols \ +> \ +operator OP (const Matrix<T, Rows, Cols>& lhs, TP rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME<T, TP >, \ + MatrixConstReference<T, Rows, Cols>, \ + XprLiteral< TP > \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(lhs.const_ref(), XprLiteral< TP >(rhs))); \ +} \ + \ +template<class T, std::size_t Rows, std::size_t Cols> \ +inline \ +XprMatrix< \ + XprBinOp< \ + Fcnl_##NAME< TP, T>, \ + XprLiteral< TP >, \ + MatrixConstReference<T, Rows, Cols> \ + >, \ + Rows, Cols \ +> \ +operator OP (TP lhs, const Matrix<T, Rows, Cols>& rhs) { \ + typedef XprBinOp< \ + Fcnl_##NAME< TP, T>, \ + XprLiteral< TP >, \ + MatrixConstReference<T, Rows, Cols> \ + > expr_type; \ + return XprMatrix<expr_type, Rows, Cols>( \ + expr_type(XprLiteral< TP >(lhs), rhs.const_ref())); \ +} + +// integer operators only, e.g used on double you wil get an error +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %, int) + TVMET_IMPLEMENT_MACRO(bitxor, ^, int) + TVMET_IMPLEMENT_MACRO(bitand, &, int) + TVMET_IMPLEMENT_MACRO(bitor, |, int) + TVMET_IMPLEMENT_MACRO(shl, <<, int) + TVMET_IMPLEMENT_MACRO(shr, >>, int) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, int) +TVMET_IMPLEMENT_MACRO(less, <, int) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, int) +TVMET_IMPLEMENT_MACRO(less_eq, <=, int) +TVMET_IMPLEMENT_MACRO(eq, ==, int) +TVMET_IMPLEMENT_MACRO(not_eq, !=, int) +TVMET_IMPLEMENT_MACRO(and, &&, int) +TVMET_IMPLEMENT_MACRO(or, ||, int) + +#if defined(TVMET_HAVE_LONG_LONG) +// integer operators only +namespace element_wise { + TVMET_IMPLEMENT_MACRO(mod, %, long long int) + TVMET_IMPLEMENT_MACRO(bitxor, ^, long long int) + TVMET_IMPLEMENT_MACRO(bitand, &, long long int) + TVMET_IMPLEMENT_MACRO(bitor, |, long long int) + TVMET_IMPLEMENT_MACRO(shl, <<, long long int) + TVMET_IMPLEMENT_MACRO(shr, >>, long long int) +} + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, long long int) +TVMET_IMPLEMENT_MACRO(less, <, long long int) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, long long int) +TVMET_IMPLEMENT_MACRO(less_eq, <=, long long int) +TVMET_IMPLEMENT_MACRO(eq, ==, long long int) +TVMET_IMPLEMENT_MACRO(not_eq, !=, long long int) +TVMET_IMPLEMENT_MACRO(and, &&, long long int) +TVMET_IMPLEMENT_MACRO(or, ||, long long int) +#endif // defined(TVMET_HAVE_LONG_LONG) + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, float) +TVMET_IMPLEMENT_MACRO(less, <, float) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, float) +TVMET_IMPLEMENT_MACRO(less_eq, <=, float) +TVMET_IMPLEMENT_MACRO(eq, ==, float) +TVMET_IMPLEMENT_MACRO(not_eq, !=, float) +TVMET_IMPLEMENT_MACRO(and, &&, float) +TVMET_IMPLEMENT_MACRO(or, ||, float) + +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, double) +TVMET_IMPLEMENT_MACRO(less, <, double) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, double) +TVMET_IMPLEMENT_MACRO(less_eq, <=, double) +TVMET_IMPLEMENT_MACRO(eq, ==, double) +TVMET_IMPLEMENT_MACRO(not_eq, !=, double) +TVMET_IMPLEMENT_MACRO(and, &&, double) +TVMET_IMPLEMENT_MACRO(or, ||, double) + +#if defined(TVMET_HAVE_LONG_DOUBLE) +// necessary operators for eval functions +TVMET_IMPLEMENT_MACRO(greater, >, long double) +TVMET_IMPLEMENT_MACRO(less, <, long double) +TVMET_IMPLEMENT_MACRO(greater_eq, >=, long double) +TVMET_IMPLEMENT_MACRO(less_eq, <=, long double) +TVMET_IMPLEMENT_MACRO(eq, ==, long double) +TVMET_IMPLEMENT_MACRO(not_eq, !=, long double) +TVMET_IMPLEMENT_MACRO(and, &&, long double) +TVMET_IMPLEMENT_MACRO(or, ||, long double) +#endif // defined(TVMET_HAVE_LONG_DOUBLE) + +#undef TVMET_IMPLEMENT_MACRO + + + + +/*++++++++++++++++++++++++++++++++++++++++++++++++++++++++ + * global unary operators + *+++++++++++++++++++++++++++++++++++++++++++++++++++++++*/ + + +/* + * unary_operator(Matrix<T, Rows, Cols>) + * Note: per se element wise + */ +#define TVMET_IMPLEMENT_MACRO(NAME, OP) \ +template <class T, std::size_t Rows, std::size_t 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(not, !) +TVMET_IMPLEMENT_MACRO(compl, ~) +TVMET_IMPLEMENT_MACRO(neg, -) +#undef TVMET_IMPLEMENT_MACRO + + +} // namespace tvmet + +#endif // TVMET_MATRIX_OPERATORS_H + +// Local Variables: +// mode:C++ +// tab-width:8 +// End: