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authorNao Pross <np@0hm.ch>2024-02-12 14:52:43 +0100
committerNao Pross <np@0hm.ch>2024-02-12 14:52:43 +0100
commiteda5bc26f44ee9a6f83dcf8c91f17296d7fc509d (patch)
treebc2efa38ff4e350f9a111ac87065cd7ae9a911c7 /src/armadillo/include/armadillo_bits/operator_schur.hpp
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+// SPDX-License-Identifier: Apache-2.0
+//
+// Copyright 2008-2016 Conrad Sanderson (http://conradsanderson.id.au)
+// Copyright 2008-2016 National ICT Australia (NICTA)
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+// http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+// ------------------------------------------------------------------------
+
+
+//! \addtogroup operator_schur
+//! @{
+
+
+// operator %, which we define it to do a schur product (element-wise multiplication)
+
+
+//! element-wise multiplication of user-accessible Armadillo objects with same element type
+template<typename T1, typename T2>
+arma_inline
+typename
+enable_if2
+ <
+ is_arma_type<T1>::value && is_arma_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value,
+ const eGlue<T1, T2, eglue_schur>
+ >::result
+operator%
+ (
+ const T1& X,
+ const T2& Y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return eGlue<T1, T2, eglue_schur>(X, Y);
+ }
+
+
+
+//! element-wise multiplication of user-accessible Armadillo objects with different element types
+template<typename T1, typename T2>
+inline
+typename
+enable_if2
+ <
+ (is_arma_type<T1>::value && is_arma_type<T2>::value && (is_same_type<typename T1::elem_type, typename T2::elem_type>::no)),
+ const mtGlue<typename promote_type<typename T1::elem_type, typename T2::elem_type>::result, T1, T2, glue_mixed_schur>
+ >::result
+operator%
+ (
+ const T1& X,
+ const T2& Y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT1;
+ typedef typename T2::elem_type eT2;
+
+ typedef typename promote_type<eT1,eT2>::result out_eT;
+
+ promote_type<eT1,eT2>::check();
+
+ return mtGlue<out_eT, T1, T2, glue_mixed_schur>( X, Y );
+ }
+
+
+
+//! element-wise multiplication of two sparse matrices
+template<typename T1, typename T2>
+inline
+typename
+enable_if2
+ <
+ (is_arma_sparse_type<T1>::value && is_arma_sparse_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
+ SpGlue<T1,T2,spglue_schur>
+ >::result
+operator%
+ (
+ const T1& x,
+ const T2& y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return SpGlue<T1,T2,spglue_schur>(x, y);
+ }
+
+
+
+//! element-wise multiplication of one dense and one sparse object
+template<typename T1, typename T2>
+inline
+typename
+enable_if2
+ <
+ (is_arma_type<T1>::value && is_arma_sparse_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
+ SpMat<typename T1::elem_type>
+ >::result
+operator%
+ (
+ const T1& x,
+ const T2& y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ SpMat<typename T1::elem_type> out;
+
+ spglue_schur_misc::dense_schur_sparse(out, x, y);
+
+ return out;
+ }
+
+
+
+//! element-wise multiplication of one sparse and one dense object
+template<typename T1, typename T2>
+inline
+typename
+enable_if2
+ <
+ (is_arma_sparse_type<T1>::value && is_arma_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
+ SpMat<typename T1::elem_type>
+ >::result
+operator%
+ (
+ const T1& x,
+ const T2& y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ SpMat<typename T1::elem_type> out;
+
+ // Just call the other order (these operations are commutative)
+ // TODO: if there is a matrix size mismatch, the debug assert will print the matrix sizes in wrong order
+ spglue_schur_misc::dense_schur_sparse(out, y, x);
+
+ return out;
+ }
+
+
+
+//! optimization: sparse % (sparse +/- scalar) can be done without forming the dense result of the (sparse +/- scalar) term
+template<typename T1, typename T2, typename op_type>
+inline
+typename
+enable_if2
+ <
+ (
+ is_arma_sparse_type<T1>::value && is_arma_sparse_type<T2>::value &&
+ is_same_type<typename T1::elem_type, typename T2::elem_type>::yes &&
+ (is_same_type<op_type, op_sp_plus>::value ||
+ is_same_type<op_type, op_sp_minus_pre>::value ||
+ is_same_type<op_type, op_sp_minus_post>::value)
+ ),
+ SpMat<typename T1::elem_type>
+ >::result
+operator%
+ (
+ const T1& x,
+ const SpToDOp<T2, op_type>& y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ SpMat<typename T1::elem_type> out;
+
+ op_type::apply_inside_schur(out, x, y);
+
+ return out;
+ }
+
+
+
+//! optimization: (sparse +/- scalar) % sparse can be done without forming the dense result of the (sparse +/- scalar) term
+template<typename T1, typename T2, typename op_type>
+inline
+typename
+enable_if2
+ <
+ (
+ is_arma_sparse_type<T1>::value && is_arma_sparse_type<T2>::value &&
+ is_same_type<typename T1::elem_type, typename T2::elem_type>::yes &&
+ (is_same_type<op_type, op_sp_plus>::value ||
+ is_same_type<op_type, op_sp_minus_pre>::value ||
+ is_same_type<op_type, op_sp_minus_post>::value)
+ ),
+ SpMat<typename T1::elem_type>
+ >::result
+operator%
+ (
+ const SpToDOp<T1, op_type>& x,
+ const T2& y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ SpMat<typename T1::elem_type> out;
+
+ // Just call the other order (these operations are commutative)
+ // TODO: if there is a matrix size mismatch, the debug assert will print the matrix sizes in wrong order
+ op_type::apply_inside_schur(out, y, x);
+
+ return out;
+ }
+
+
+
+//! element-wise multiplication of two sparse objects with different element types
+template<typename T1, typename T2>
+inline
+typename
+enable_if2
+ <
+ (is_arma_sparse_type<T1>::value && is_arma_sparse_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::no),
+ const mtSpGlue< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result, T1, T2, spglue_schur_mixed >
+ >::result
+operator%
+ (
+ const T1& X,
+ const T2& Y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT1;
+ typedef typename T2::elem_type eT2;
+
+ typedef typename promote_type<eT1,eT2>::result out_eT;
+
+ promote_type<eT1,eT2>::check();
+
+ return mtSpGlue<out_eT, T1, T2, spglue_schur_mixed>( X, Y );
+ }
+
+
+
+//! element-wise multiplication of one dense and one sparse object with different element types
+template<typename T1, typename T2>
+inline
+typename
+enable_if2
+ <
+ (is_arma_type<T1>::value && is_arma_sparse_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::no),
+ SpMat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result >
+ >::result
+operator%
+ (
+ const T1& x,
+ const T2& y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ SpMat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result > out;
+
+ spglue_schur_mixed::dense_schur_sparse(out, x, y);
+
+ return out;
+ }
+
+
+
+//! element-wise multiplication of one sparse and one dense object with different element types
+template<typename T1, typename T2>
+inline
+typename
+enable_if2
+ <
+ (is_arma_sparse_type<T1>::value && is_arma_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::no),
+ SpMat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result >
+ >::result
+operator%
+ (
+ const T1& x,
+ const T2& y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ SpMat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result > out;
+
+ // Just call the other order (these operations are commutative)
+ // TODO: if there is a matrix size mismatch, the debug assert will print the matrix sizes in wrong order
+ spglue_schur_mixed::dense_schur_sparse(out, y, x);
+
+ return out;
+ }
+
+
+
+template<typename parent, unsigned int mode, typename T2>
+inline
+Mat<typename parent::elem_type>
+operator%
+ (
+ const subview_each1<parent,mode>& X,
+ const Base<typename parent::elem_type,T2>& Y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return subview_each1_aux::operator_schur(X, Y.get_ref());
+ }
+
+
+
+template<typename T1, typename parent, unsigned int mode>
+arma_inline
+Mat<typename parent::elem_type>
+operator%
+ (
+ const Base<typename parent::elem_type,T1>& X,
+ const subview_each1<parent,mode>& Y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return subview_each1_aux::operator_schur(Y, X.get_ref()); // NOTE: swapped order
+ }
+
+
+
+template<typename parent, unsigned int mode, typename TB, typename T2>
+inline
+Mat<typename parent::elem_type>
+operator%
+ (
+ const subview_each2<parent,mode,TB>& X,
+ const Base<typename parent::elem_type,T2>& Y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return subview_each2_aux::operator_schur(X, Y.get_ref());
+ }
+
+
+
+template<typename T1, typename parent, unsigned int mode, typename TB>
+arma_inline
+Mat<typename parent::elem_type>
+operator%
+ (
+ const Base<typename parent::elem_type,T1>& X,
+ const subview_each2<parent,mode,TB>& Y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return subview_each2_aux::operator_schur(Y, X.get_ref()); // NOTE: swapped order
+ }
+
+
+
+//! @}