493 lines
11 KiB
C++
493 lines
11 KiB
C++
// Copyright 2008-2016 Conrad Sanderson (http://conradsanderson.id.au)
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// Copyright 2008-2016 National ICT Australia (NICTA)
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//
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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// ------------------------------------------------------------------------
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//! \addtogroup operator_times
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//! @{
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//! Base * scalar
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template<typename T1>
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arma_inline
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typename enable_if2< is_arma_type<T1>::value, const eOp<T1, eop_scalar_times> >::result
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operator*
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(const T1& X, const typename T1::elem_type k)
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{
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arma_extra_debug_sigprint();
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return eOp<T1, eop_scalar_times>(X,k);
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}
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//! scalar * Base
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template<typename T1>
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arma_inline
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typename enable_if2< is_arma_type<T1>::value, const eOp<T1, eop_scalar_times> >::result
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operator*
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(const typename T1::elem_type k, const T1& X)
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{
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arma_extra_debug_sigprint();
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return eOp<T1, eop_scalar_times>(X,k); // NOTE: order is swapped
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}
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//! non-complex Base * complex scalar
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template<typename T1>
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arma_inline
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typename
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enable_if2
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<
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(is_arma_type<T1>::value && is_cx<typename T1::elem_type>::no),
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const mtOp<typename std::complex<typename T1::pod_type>, T1, op_cx_scalar_times>
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>::result
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operator*
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(
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const T1& X,
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const std::complex<typename T1::pod_type>& k
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)
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{
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arma_extra_debug_sigprint();
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return mtOp<typename std::complex<typename T1::pod_type>, T1, op_cx_scalar_times>('j', X, k);
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}
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//! complex scalar * non-complex Base
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template<typename T1>
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arma_inline
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typename
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enable_if2
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<
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(is_arma_type<T1>::value && is_cx<typename T1::elem_type>::no),
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const mtOp<typename std::complex<typename T1::pod_type>, T1, op_cx_scalar_times>
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>::result
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operator*
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(
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const std::complex<typename T1::pod_type>& k,
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const T1& X
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)
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{
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arma_extra_debug_sigprint();
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return mtOp<typename std::complex<typename T1::pod_type>, T1, op_cx_scalar_times>('j', X, k);
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}
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//! scalar * trans(T1)
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template<typename T1>
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arma_inline
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const Op<T1, op_htrans2>
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operator*
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(const typename T1::elem_type k, const Op<T1, op_htrans>& X)
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{
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arma_extra_debug_sigprint();
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return Op<T1, op_htrans2>(X.m, k);
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}
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//! trans(T1) * scalar
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template<typename T1>
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arma_inline
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const Op<T1, op_htrans2>
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operator*
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(const Op<T1, op_htrans>& X, const typename T1::elem_type k)
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{
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arma_extra_debug_sigprint();
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return Op<T1, op_htrans2>(X.m, k);
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}
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//! Base * diagmat
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template<typename T1, typename T2>
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arma_inline
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typename
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enable_if2
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<
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(is_arma_type<T1>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
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const Glue<T1, Op<T2, op_diagmat>, glue_times_diag>
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>::result
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operator*
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(const T1& X, const Op<T2, op_diagmat>& Y)
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{
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arma_extra_debug_sigprint();
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return Glue<T1, Op<T2, op_diagmat>, glue_times_diag>(X, Y);
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}
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//! diagmat * Base
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template<typename T1, typename T2>
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arma_inline
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typename
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enable_if2
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<
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(is_arma_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
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const Glue<Op<T1, op_diagmat>, T2, glue_times_diag>
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>::result
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operator*
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(const Op<T1, op_diagmat>& X, const T2& Y)
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{
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arma_extra_debug_sigprint();
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return Glue<Op<T1, op_diagmat>, T2, glue_times_diag>(X, Y);
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}
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//! diagmat * diagmat
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template<typename T1, typename T2>
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inline
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Mat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result >
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operator*
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(const Op<T1, op_diagmat>& X, const Op<T2, op_diagmat>& Y)
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{
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arma_extra_debug_sigprint();
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typedef typename T1::elem_type eT1;
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typedef typename T2::elem_type eT2;
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typedef typename promote_type<eT1,eT2>::result out_eT;
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promote_type<eT1,eT2>::check();
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const diagmat_proxy<T1> A(X.m);
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const diagmat_proxy<T2> B(Y.m);
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arma_debug_assert_mul_size(A.n_rows, A.n_cols, B.n_rows, B.n_cols, "matrix multiplication");
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Mat<out_eT> out(A.n_rows, B.n_cols, arma_zeros_indicator());
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const uword A_length = (std::min)(A.n_rows, A.n_cols);
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const uword B_length = (std::min)(B.n_rows, B.n_cols);
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const uword N = (std::min)(A_length, B_length);
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for(uword i=0; i<N; ++i)
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{
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out.at(i,i) = upgrade_val<eT1,eT2>::apply( A[i] ) * upgrade_val<eT1,eT2>::apply( B[i] );
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}
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return out;
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}
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//! multiplication of Base objects with same element type
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template<typename T1, typename T2>
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arma_inline
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typename
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enable_if2
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<
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is_arma_type<T1>::value && is_arma_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value,
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const Glue<T1, T2, glue_times>
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>::result
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operator*
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(const T1& X, const T2& Y)
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{
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arma_extra_debug_sigprint();
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return Glue<T1, T2, glue_times>(X, Y);
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}
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//! multiplication of Base objects with different element types
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template<typename T1, typename T2>
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inline
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typename
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enable_if2
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<
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(is_arma_type<T1>::value && is_arma_type<T2>::value && (is_same_type<typename T1::elem_type, typename T2::elem_type>::no)),
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const mtGlue< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result, T1, T2, glue_mixed_times >
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>::result
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operator*
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(
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const T1& X,
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const T2& Y
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)
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{
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arma_extra_debug_sigprint();
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typedef typename T1::elem_type eT1;
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typedef typename T2::elem_type eT2;
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typedef typename promote_type<eT1,eT2>::result out_eT;
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promote_type<eT1,eT2>::check();
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return mtGlue<out_eT, T1, T2, glue_mixed_times>( X, Y );
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}
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//! sparse multiplied by scalar
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template<typename T1>
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inline
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typename
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enable_if2
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<
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is_arma_sparse_type<T1>::value,
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SpOp<T1,spop_scalar_times>
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>::result
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operator*
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(
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const T1& X,
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const typename T1::elem_type k
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)
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{
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arma_extra_debug_sigprint();
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return SpOp<T1,spop_scalar_times>(X, k);
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}
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template<typename T1>
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inline
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typename
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enable_if2
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<
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is_arma_sparse_type<T1>::value,
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SpOp<T1,spop_scalar_times>
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>::result
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operator*
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(
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const typename T1::elem_type k,
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const T1& X
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)
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{
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arma_extra_debug_sigprint();
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return SpOp<T1,spop_scalar_times>(X, k);
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}
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//! non-complex sparse * complex scalar
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template<typename T1>
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arma_inline
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typename
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enable_if2
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<
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(is_arma_sparse_type<T1>::value && is_cx<typename T1::elem_type>::no),
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const mtSpOp<typename std::complex<typename T1::pod_type>, T1, spop_cx_scalar_times>
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>::result
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operator*
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(
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const T1& X,
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const std::complex<typename T1::pod_type>& k
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)
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{
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arma_extra_debug_sigprint();
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return mtSpOp<typename std::complex<typename T1::pod_type>, T1, spop_cx_scalar_times>('j', X, k);
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}
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//! complex scalar * non-complex sparse
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template<typename T1>
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arma_inline
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typename
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enable_if2
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<
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(is_arma_sparse_type<T1>::value && is_cx<typename T1::elem_type>::no),
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const mtSpOp<typename std::complex<typename T1::pod_type>, T1, spop_cx_scalar_times>
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>::result
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operator*
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(
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const std::complex<typename T1::pod_type>& k,
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const T1& X
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)
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{
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arma_extra_debug_sigprint();
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return mtSpOp<typename std::complex<typename T1::pod_type>, T1, spop_cx_scalar_times>('j', X, k);
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}
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//! multiplication of two sparse objects
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template<typename T1, typename T2>
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inline
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typename
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enable_if2
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<
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(is_arma_sparse_type<T1>::value && is_arma_sparse_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
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const SpGlue<T1,T2,spglue_times>
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>::result
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operator*
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(
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const T1& x,
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const T2& y
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)
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{
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arma_extra_debug_sigprint();
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return SpGlue<T1,T2,spglue_times>(x, y);
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}
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//! multiplication of one sparse and one dense object
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template<typename T1, typename T2>
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inline
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typename
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enable_if2
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<
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(is_arma_sparse_type<T1>::value && is_arma_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
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Mat<typename T1::elem_type>
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>::result
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operator*
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(
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const T1& x,
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const T2& y
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)
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{
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arma_extra_debug_sigprint();
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typedef typename T1::elem_type eT;
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Mat<eT> result;
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spglue_times_misc::sparse_times_dense(result, x, y);
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return result;
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}
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//! multiplication of one dense and one sparse object
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template<typename T1, typename T2>
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inline
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typename
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enable_if2
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<
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(is_arma_type<T1>::value && is_arma_sparse_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
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Mat<typename T1::elem_type>
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>::result
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operator*
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(
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const T1& x,
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const T2& y
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)
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{
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arma_extra_debug_sigprint();
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typedef typename T1::elem_type eT;
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Mat<eT> result;
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spglue_times_misc::dense_times_sparse(result, x, y);
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return result;
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}
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//! multiplication of two sparse objects with different element types
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template<typename T1, typename T2>
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inline
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typename
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enable_if2
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<
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(is_arma_sparse_type<T1>::value && is_arma_sparse_type<T2>::value && (is_same_type<typename T1::elem_type, typename T2::elem_type>::no)),
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const mtSpGlue< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result, T1, T2, spglue_times_mixed >
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>::result
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operator*
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(
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const T1& X,
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const T2& Y
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)
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{
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arma_extra_debug_sigprint();
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typedef typename T1::elem_type eT1;
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typedef typename T2::elem_type eT2;
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typedef typename promote_type<eT1,eT2>::result out_eT;
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promote_type<eT1,eT2>::check();
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return mtSpGlue<out_eT, T1, T2, spglue_times_mixed>( X, Y );
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}
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//! multiplication of one sparse and one dense object with different element types
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template<typename T1, typename T2>
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inline
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typename
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enable_if2
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<
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(is_arma_sparse_type<T1>::value && is_arma_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::no),
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Mat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result >
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>::result
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operator*
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(
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const T1& X,
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const T2& Y
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)
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{
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arma_extra_debug_sigprint();
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Mat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result > out;
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spglue_times_mixed::sparse_times_dense(out, X, Y);
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return out;
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}
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//! multiplication of one dense and one sparse object with different element types
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template<typename T1, typename T2>
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inline
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typename
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enable_if2
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<
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(is_arma_type<T1>::value && is_arma_sparse_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::no),
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Mat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result >
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>::result
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operator*
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(
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const T1& X,
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const T2& Y
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)
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{
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arma_extra_debug_sigprint();
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Mat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result > out;
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spglue_times_mixed::dense_times_sparse(out, X, Y);
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return out;
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}
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//! @}
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