237 lines
14 KiB
C++
237 lines
14 KiB
C++
/* -*- C++ -*- ------------------------------------------------------------
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Copyright (c) 2007 Jesse Anders and Demian Nave http://cmldev.net/
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The Configurable Math Library (CML) is distributed under the terms of the
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Boost Software License, v1.0 (see cml/LICENSE for details).
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*-----------------------------------------------------------------------*/
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/** @file
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* @brief Defines the various combinations of matrix expressions.
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*
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* Create unary and binary operators with macros. The available combinations
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* are:
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*
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* Unary expressions:
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*
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* op Matrix -> Matrix
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* op MatXpr -> Matrix
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*
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* Binary expressions:
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*
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* Matrix op Matrix -> Matrix
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* MatXpr op Matrix -> MatXpr
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* Matrix op MatXpr -> MatXpr
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* MatXpr op MatXpr -> MatXpr
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*
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* Matrix op Scalar -> Matrix
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* Scalar op Matrix -> Matrix
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* MatXpr op Scalar -> MatXpr
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* Scalar op MatXpr -> MatXpr
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*
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* All of the generator functions compress the expression tree by hoisting
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* subexpressions into the containing expression. This has the effect of
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* forcing only the root node of the expression tree to be a MatrixXpr.
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* Every other node is a Unary or BinaryMatrixOp.
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*/
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#ifndef matop_macros_h
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#define matop_macros_h
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/** Declare a unary operator taking a matrix operand. */
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#define CML_MAT_UNIOP(_op_, _OpT_) \
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template<typename E, class AT, typename BO, typename L> \
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inline et::MatrixXpr< \
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et::UnaryMatrixOp< matrix<E,AT,BO,L>, _OpT_ <E> > \
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> \
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\
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_op_ (const matrix<E,AT,BO,L>& arg) \
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{ \
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typedef et::UnaryMatrixOp< \
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matrix<E,AT,BO,L>, _OpT_ <E> \
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> ExprT; \
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return et::MatrixXpr<ExprT>(ExprT(arg)); \
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}
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/** Declare a unary operator taking a et::MatrixXpr operand. */
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#define CML_MATXPR_UNIOP(_op_, _OpT_) \
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template<class XprT> \
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inline et::MatrixXpr< \
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et::UnaryMatrixOp<XprT, _OpT_<typename XprT::value_type> > \
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> \
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\
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_op_ (MATXPR_ARG_TYPE arg) \
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{ \
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typedef et::UnaryMatrixOp< \
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XprT, _OpT_<typename XprT::value_type> \
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> ExprT; \
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return et::MatrixXpr<ExprT>(ExprT(arg.expression())); \
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}
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/** Declare an operator taking two matrix operands. */
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#define CML_MAT_MAT_BINOP(_op_, _OpT_) \
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template<typename E1, class AT1, typename L1, \
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typename E2, class AT2, typename L2, typename BO> \
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inline et::MatrixXpr< \
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et::BinaryMatrixOp< \
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matrix<E1,AT1,BO,L2>, matrix<E2,AT2,BO,L2>, _OpT_<E1,E2> > \
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> \
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\
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_op_ ( \
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const matrix<E1,AT1,BO,L1>& left, \
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const matrix<E2,AT2,BO,L2>& right) \
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{ \
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typedef et::BinaryMatrixOp< \
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matrix<E1,AT1,BO,L1>, matrix<E2,AT2,BO,L2>, _OpT_<E1,E2> \
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> ExprT; \
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return et::MatrixXpr<ExprT>(ExprT(left,right)); \
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}
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/** Declare an operator taking a matrix and a et::MatrixXpr. */
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#define CML_MAT_MATXPR_BINOP(_op_, _OpT_) \
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template<typename E, class AT, typename BO, typename L, class XprT> \
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inline et::MatrixXpr< \
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et::BinaryMatrixOp< \
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matrix<E,AT,BO,L>, XprT, _OpT_ <E, typename XprT::value_type> \
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> \
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> \
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\
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_op_ ( \
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const matrix<E,AT,BO,L>& left, \
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MATXPR_ARG_TYPE right) \
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{ \
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typedef et::BinaryMatrixOp< \
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matrix<E,AT,BO,L>, XprT, \
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_OpT_ <E, typename XprT::value_type> \
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> ExprT; \
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return et::MatrixXpr<ExprT>(ExprT(left,right.expression())); \
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}
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/** Declare an operator taking a et::MatrixXpr and a matrix. */
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#define CML_MATXPR_MAT_BINOP(_op_, _OpT_) \
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template<class XprT, typename E, class AT, typename BO, typename L> \
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inline et::MatrixXpr< \
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et::BinaryMatrixOp< \
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XprT, matrix<E,AT,BO,L>, _OpT_ <typename XprT::value_type, E> \
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> \
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> \
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\
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_op_ ( \
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MATXPR_ARG_TYPE left, \
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const matrix<E,AT,BO,L>& right) \
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{ \
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typedef et::BinaryMatrixOp< \
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XprT, matrix<E,AT,BO,L>, \
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_OpT_ <typename XprT::value_type, E> \
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> ExprT; \
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return et::MatrixXpr<ExprT>(ExprT(left.expression(),right)); \
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}
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/** Declare an operator taking two et::MatrixXpr operands. */
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#define CML_MATXPR_MATXPR_BINOP(_op_, _OpT_) \
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template<class XprT1, class XprT2> \
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inline et::MatrixXpr< \
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et::BinaryMatrixOp< \
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XprT1, XprT2, \
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_OpT_ < \
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typename XprT1::value_type, \
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typename XprT2::value_type \
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> \
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> \
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> \
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\
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_op_ ( \
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MATXPR_ARG_TYPE_N(1) left, \
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MATXPR_ARG_TYPE_N(2) right) \
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{ \
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typedef et::BinaryMatrixOp< \
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XprT1, XprT2, \
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_OpT_ < \
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typename XprT1::value_type, \
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typename XprT2::value_type> \
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> ExprT; \
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return et::MatrixXpr<ExprT>( \
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ExprT(left.expression(),right.expression())); \
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}
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/** Declare an operator taking a matrix and a scalar. */
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#define CML_MAT_SCALAR_BINOP(_op_, _OpT_) \
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template<typename E, class AT, typename BO, typename L, typename ScalarT>\
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inline et::MatrixXpr< \
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et::BinaryMatrixOp< \
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matrix<E,AT,BO,L>, ScalarT, _OpT_ <E,ScalarT> \
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> \
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> \
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\
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_op_ ( \
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const matrix<E,AT,BO,L>& left, \
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SCALAR_ARG_TYPE right) \
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{ \
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typedef et::BinaryMatrixOp< \
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matrix<E,AT,BO,L>, ScalarT, _OpT_ <E,ScalarT > \
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> ExprT; \
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return et::MatrixXpr<ExprT>(ExprT(left,right)); \
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}
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/** Declare an operator taking a scalar and a matrix. */
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#define CML_SCALAR_MAT_BINOP(_op_, _OpT_) \
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template<typename ScalarT, typename E, class AT, typename BO, typename L>\
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inline et::MatrixXpr< \
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et::BinaryMatrixOp< \
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ScalarT, matrix<E,AT,BO,L>, _OpT_ <ScalarT,E> \
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> \
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> \
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\
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_op_ ( \
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SCALAR_ARG_TYPE left, \
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const matrix<E,AT,BO,L>& right) \
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{ \
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typedef et::BinaryMatrixOp< \
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ScalarT, matrix<E,AT,BO,L>, _OpT_<ScalarT,E> \
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> ExprT; \
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return et::MatrixXpr<ExprT>(ExprT(left,right)); \
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}
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/** Declare an operator taking a et::MatrixXpr and a scalar. */
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#define CML_MATXPR_SCALAR_BINOP(_op_, _OpT_) \
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template<class XprT, typename ScalarT> \
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inline et::MatrixXpr< \
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et::BinaryMatrixOp< \
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XprT, ScalarT, _OpT_ <typename XprT::value_type, ScalarT> \
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> \
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> \
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\
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_op_ ( \
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MATXPR_ARG_TYPE left, \
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SCALAR_ARG_TYPE right) \
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{ \
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typedef et::BinaryMatrixOp< \
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XprT, ScalarT, _OpT_ <typename XprT::value_type,ScalarT> \
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> ExprT; \
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return et::MatrixXpr<ExprT>(ExprT(left.expression(),right)); \
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}
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/** Declare an operator taking a scalar and a et::MatrixXpr. */
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#define CML_SCALAR_MATXPR_BINOP(_op_, _OpT_) \
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template<typename ScalarT, class XprT> \
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inline et::MatrixXpr< \
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et::BinaryMatrixOp< \
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ScalarT, XprT, _OpT_ <ScalarT, typename XprT::value_type> \
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> \
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> \
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\
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_op_ ( \
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SCALAR_ARG_TYPE left, \
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MATXPR_ARG_TYPE right) \
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{ \
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typedef et::BinaryMatrixOp< \
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ScalarT, XprT, _OpT_ <ScalarT, typename XprT::value_type> \
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> ExprT; \
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return et::MatrixXpr<ExprT>(ExprT(left,right.expression())); \
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}
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#endif
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// -------------------------------------------------------------------------
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// vim:ft=cpp
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