mirror of
https://github.com/triqs/dft_tools
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9583afc671
- A silly copy paste error : the operator - for matrix expression was defined twice. - second error : a typo in unary method.
152 lines
7.5 KiB
C++
152 lines
7.5 KiB
C++
/*******************************************************************************
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*
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* TRIQS: a Toolbox for Research in Interacting Quantum Systems
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*
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* Copyright (C) 2011-2013 by O. Parcollet
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*
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* TRIQS is free software: you can redistribute it and/or modify it under the
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* terms of the GNU General Public License as published by the Free Software
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* Foundation, either version 3 of the License, or (at your option) any later
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* version.
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*
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* TRIQS is distributed in the hope that it will be useful, but WITHOUT ANY
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* WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
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* FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
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* details.
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*
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* You should have received a copy of the GNU General Public License along with
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* TRIQS. If not, see <http://www.gnu.org/licenses/>.
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*
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******************************************************************************/
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#ifndef TRIQS_ARRAYS_EXPRESSION_MATRIX_ALGEBRA_H
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#define TRIQS_ARRAYS_EXPRESSION_MATRIX_ALGEBRA_H
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#include "./vector_algebra.hpp"
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#include "../matrix.hpp"
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#include "../linalg/det_and_inverse.hpp"
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#include "../blas_lapack/gemv.hpp"
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#include "../blas_lapack/gemm.hpp"
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namespace triqs { namespace arrays {
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// matrix * matrix
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template<typename A, typename B, typename Enable = void> struct _matmul_rvalue {};
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template<typename A, typename B> struct _matmul_rvalue<A,B, ENABLE_IFC(ImmutableMatrix<A>::value && ImmutableMatrix<B>::value)> {
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typedef typename std::remove_const<typename A::value_type>::type V1;
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typedef typename std::remove_const<typename B::value_type>::type V2;
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typedef matrix<typename std::decay<decltype( V1{} * V2{})>::type> type;
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};
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template<typename A, typename B>
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typename _matmul_rvalue<A,B>::type
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operator * (A const & a, B const & b) {
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if (second_dim(a) != first_dim(b)) TRIQS_RUNTIME_ERROR<< "Matrix product : dimension mismatch in A*B "<< a<<" "<< b;
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auto R = typename _matmul_rvalue<A,B>::type( first_dim(a), second_dim(b));
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blas::gemm(1.0,a, b, 0.0, R);
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return R;
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}
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// matrix * vector
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template<typename M, typename V, typename Enable = void> struct _mat_vec_mul_rvalue {};
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template<typename M, typename V> struct _mat_vec_mul_rvalue<M,V, ENABLE_IFC(ImmutableMatrix<M>::value && ImmutableVector<V>::value)> {
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typedef typename std::remove_const<typename M::value_type>::type V1;
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typedef typename std::remove_const<typename V::value_type>::type V2;
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typedef vector<typename std::decay<decltype(V1{} * V2{})>::type> type;
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};
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template<typename M, typename V>
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typename _mat_vec_mul_rvalue<M,V>::type
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operator * (M const & m, V const & v) {
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if (second_dim(m) != v.size()) TRIQS_RUNTIME_ERROR<< "Matrix product : dimension mismatch in Matrix*Vector "<< m<<" "<< v;
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auto R = typename _mat_vec_mul_rvalue<M,V>::type(first_dim(m));
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blas::gemv(1.0,m,v,0.0,R);
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return R;
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}
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// expression template
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template<typename Tag, typename L, typename R>
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struct matrix_expr : TRIQS_CONCEPT_TAG_NAME(ImmutableMatrix) {
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typedef typename std::remove_reference<L>::type L_t;
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typedef typename std::remove_reference<R>::type R_t;
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static_assert( get_rank<R_t>::value==0 || get_rank<L_t>::value==0 || get_rank<L_t>::value == get_rank<R_t>::value, "rank mismatch in matrix operations");
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//typedef typename std::result_of<utility::operation<Tag>(typename L_t::value_type,typename R_t::value_type )>::type value_type;
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typedef typename std::remove_cv< typename std::remove_reference<typename std::result_of<combine_domain(L_t,R_t)>::type>::type>::type domain_type;
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L l; R r;
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using value_type = decltype(utility::operation<Tag>()(l(0, 0), r(0, 0)));
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template<typename LL, typename RR> matrix_expr(LL && l_, RR && r_) : l(std::forward<LL>(l_)), r(std::forward<RR>(r_)) {}
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domain_type domain() const { return combine_domain()(l,r); }
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template<typename ... Args> value_type operator()(Args && ... args) const { return utility::operation<Tag>()(l(std::forward<Args>(args)...) , r(std::forward<Args>(args)...));}
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friend std::ostream &operator <<(std::ostream &sout, matrix_expr const &expr){return sout << "("<<expr.l << " "<<utility::operation<Tag>::name << " "<<expr.r<<")" ; }
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};
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template<typename L> // a special case : the unary operator !
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struct matrix_unary_m_expr : TRIQS_CONCEPT_TAG_NAME(ImmutableMatrix) {
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typedef typename std::remove_reference<L>::type L_t;
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typedef typename L_t::value_type value_type;
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typedef typename L_t::domain_type domain_type;
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L l;
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template<typename LL> matrix_unary_m_expr(LL && l_) : l(std::forward<LL>(l_)) {}
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domain_type domain() const { return l.domain(); }
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template<typename ... Args> value_type operator()(Args && ... args) const { return -l(std::forward<Args>(args)...);}
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friend std::ostream &operator <<(std::ostream &sout, matrix_unary_m_expr const &expr){return sout << '-'<<expr.l; }
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};
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// Now we can define all the C++ operators ...
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#define DEFINE_OPERATOR(TAG, OP, TRAIT1, TRAIT2) \
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template<typename A1, typename A2>\
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typename std::enable_if<TRAIT1<A1>::value && TRAIT2 <A2>::value, \
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matrix_expr<utility::tags::TAG, typename node_t<A1,false>::type, typename node_t<A2,false>::type>>::type\
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operator OP (A1 && a1, A2 && a2) { return {std::forward<A1>(a1),std::forward<A2>(a2)};}
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DEFINE_OPERATOR(plus, +, ImmutableMatrix,ImmutableMatrix);
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DEFINE_OPERATOR(minus, -, ImmutableMatrix,ImmutableMatrix);
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DEFINE_OPERATOR(multiplies, *, is_in_ZRC,ImmutableMatrix);
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DEFINE_OPERATOR(multiplies, *, ImmutableMatrix,is_in_ZRC);
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DEFINE_OPERATOR(divides, /, ImmutableMatrix,is_in_ZRC);
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#undef DEFINE_OPERATOR
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// the addition/substraction of diagonal matrix is special : all scalar are diagonal matrices here...
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#define DEFINE_OPERATOR(TAG, OP, TRAIT1, TRAIT2) \
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template<typename A1, typename A2>\
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typename std::enable_if<TRAIT1<A1>::value && TRAIT2 <A2>::value, \
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matrix_expr<utility::tags::TAG, typename node_t<A1,true>::type, typename node_t<A2,true>::type>>::type\
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operator OP (A1 && a1, A2 && a2) { return {std::forward<A1>(a1),std::forward<A2>(a2)};}
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DEFINE_OPERATOR(plus, +, ImmutableMatrix,is_in_ZRC);
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DEFINE_OPERATOR(plus, +, is_in_ZRC,ImmutableMatrix);
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DEFINE_OPERATOR(minus, -, ImmutableMatrix,is_in_ZRC);
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DEFINE_OPERATOR(minus, -, is_in_ZRC,ImmutableMatrix);
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#undef DEFINE_OPERATOR
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// the unary is special
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template<typename A1>
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typename std::enable_if<
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ImmutableMatrix<A1>::value,
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matrix_unary_m_expr<typename node_t<A1,true>::type >
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>::type
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operator - (A1 && a1) { return {std::forward<A1>(a1)};}
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template<typename M1, typename Enable = typename std::enable_if<ImmutableMatrix<M1>::value>::type >
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struct _a_div_matrix {
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template<typename A, typename M> auto operator() (A && a, M && m) DECL_AND_RETURN ( std::forward<A>(a) * inverse(std::forward<M>(m)));
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};
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//typedef decltype ( std::declval<typename std::remove_reference<A>::type>() * inverse(std::declval<typename std::remove_reference<M>::type>() )) type;
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template<typename A, typename M> // anything / matrix ---> anything * inverse(matrix)
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//typename boost::lazy_enable_if< ImmutableMatrix<M>, std::result_of<_a_div_matrix(A,M)__type_of_mult_expr_matrix<A,M> >::type
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//typename std::result_of<_a_div_matrix(A,M)>::type
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//operator/ (A && a, M && m) {return _a_div_matrix<M>()( std::forward<A>(a), std::forward<M>(m));}
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auto operator/ (A && a, M && m) DECL_AND_RETURN( _a_div_matrix<M>()( std::forward<A>(a), std::forward<M>(m)));
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// -> typename std::enable_if< ImmutableMatrix<M>::value, decltype(std::forward<A>(a) * inverse(std::forward<M>(m)))>::type
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//{ return std::forward<A>(a) * inverse(std::forward<M>(m));}
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}}//namespace triqs::arrays
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#endif
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