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Diffstat (limited to 'src/armadillo/include/armadillo_bits/operator_schur.hpp')
-rw-r--r-- | src/armadillo/include/armadillo_bits/operator_schur.hpp | 366 |
1 files changed, 366 insertions, 0 deletions
diff --git a/src/armadillo/include/armadillo_bits/operator_schur.hpp b/src/armadillo/include/armadillo_bits/operator_schur.hpp new file mode 100644 index 0000000..2acfdbc --- /dev/null +++ b/src/armadillo/include/armadillo_bits/operator_schur.hpp @@ -0,0 +1,366 @@ +// 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 + } + + + +//! @} |