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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_times.hpp
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Move into version control
Diffstat (limited to 'src/armadillo/include/armadillo_bits/operator_times.hpp')
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diff --git a/src/armadillo/include/armadillo_bits/operator_times.hpp b/src/armadillo/include/armadillo_bits/operator_times.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_times
+//! @{
+
+
+
+//! Base * scalar
+template<typename T1>
+arma_inline
+typename enable_if2< is_arma_type<T1>::value, const eOp<T1, eop_scalar_times> >::result
+operator*
+(const T1& X, const typename T1::elem_type k)
+ {
+ arma_extra_debug_sigprint();
+
+ return eOp<T1, eop_scalar_times>(X,k);
+ }
+
+
+
+//! scalar * Base
+template<typename T1>
+arma_inline
+typename enable_if2< is_arma_type<T1>::value, const eOp<T1, eop_scalar_times> >::result
+operator*
+(const typename T1::elem_type k, const T1& X)
+ {
+ arma_extra_debug_sigprint();
+
+ return eOp<T1, eop_scalar_times>(X,k); // NOTE: order is swapped
+ }
+
+
+
+//! non-complex Base * complex scalar
+template<typename T1>
+arma_inline
+typename
+enable_if2
+ <
+ (is_arma_type<T1>::value && is_cx<typename T1::elem_type>::no),
+ const mtOp<typename std::complex<typename T1::pod_type>, T1, op_cx_scalar_times>
+ >::result
+operator*
+ (
+ const T1& X,
+ const std::complex<typename T1::pod_type>& k
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return mtOp<typename std::complex<typename T1::pod_type>, T1, op_cx_scalar_times>('j', X, k);
+ }
+
+
+
+//! complex scalar * non-complex Base
+template<typename T1>
+arma_inline
+typename
+enable_if2
+ <
+ (is_arma_type<T1>::value && is_cx<typename T1::elem_type>::no),
+ const mtOp<typename std::complex<typename T1::pod_type>, T1, op_cx_scalar_times>
+ >::result
+operator*
+ (
+ const std::complex<typename T1::pod_type>& k,
+ const T1& X
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return mtOp<typename std::complex<typename T1::pod_type>, T1, op_cx_scalar_times>('j', X, k);
+ }
+
+
+
+//! scalar * trans(T1)
+template<typename T1>
+arma_inline
+const Op<T1, op_htrans2>
+operator*
+(const typename T1::elem_type k, const Op<T1, op_htrans>& X)
+ {
+ arma_extra_debug_sigprint();
+
+ return Op<T1, op_htrans2>(X.m, k);
+ }
+
+
+
+//! trans(T1) * scalar
+template<typename T1>
+arma_inline
+const Op<T1, op_htrans2>
+operator*
+(const Op<T1, op_htrans>& X, const typename T1::elem_type k)
+ {
+ arma_extra_debug_sigprint();
+
+ return Op<T1, op_htrans2>(X.m, k);
+ }
+
+
+
+//! Base * diagmat
+template<typename T1, typename T2>
+arma_inline
+typename
+enable_if2
+ <
+ (is_arma_type<T1>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
+ const Glue<T1, Op<T2, op_diagmat>, glue_times_diag>
+ >::result
+operator*
+(const T1& X, const Op<T2, op_diagmat>& Y)
+ {
+ arma_extra_debug_sigprint();
+
+ return Glue<T1, Op<T2, op_diagmat>, glue_times_diag>(X, Y);
+ }
+
+
+
+//! diagmat * Base
+template<typename T1, typename T2>
+arma_inline
+typename
+enable_if2
+ <
+ (is_arma_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
+ const Glue<Op<T1, op_diagmat>, T2, glue_times_diag>
+ >::result
+operator*
+(const Op<T1, op_diagmat>& X, const T2& Y)
+ {
+ arma_extra_debug_sigprint();
+
+ return Glue<Op<T1, op_diagmat>, T2, glue_times_diag>(X, Y);
+ }
+
+
+
+//! diagmat * diagmat
+template<typename T1, typename T2>
+inline
+Mat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result >
+operator*
+(const Op<T1, op_diagmat>& X, const Op<T2, op_diagmat>& 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();
+
+ const diagmat_proxy<T1> A(X.m);
+ const diagmat_proxy<T2> B(Y.m);
+
+ arma_debug_assert_mul_size(A.n_rows, A.n_cols, B.n_rows, B.n_cols, "matrix multiplication");
+
+ Mat<out_eT> out(A.n_rows, B.n_cols, arma_zeros_indicator());
+
+ const uword A_length = (std::min)(A.n_rows, A.n_cols);
+ const uword B_length = (std::min)(B.n_rows, B.n_cols);
+
+ const uword N = (std::min)(A_length, B_length);
+
+ for(uword i=0; i<N; ++i)
+ {
+ out.at(i,i) = upgrade_val<eT1,eT2>::apply( A[i] ) * upgrade_val<eT1,eT2>::apply( B[i] );
+ }
+
+ return out;
+ }
+
+
+
+//! multiplication of Base 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 Glue<T1, T2, glue_times>
+ >::result
+operator*
+(const T1& X, const T2& Y)
+ {
+ arma_extra_debug_sigprint();
+
+ return Glue<T1, T2, glue_times>(X, Y);
+ }
+
+
+
+//! multiplication of Base 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_times >
+ >::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_times>( X, Y );
+ }
+
+
+
+//! sparse multiplied by scalar
+template<typename T1>
+inline
+typename
+enable_if2
+ <
+ is_arma_sparse_type<T1>::value,
+ SpOp<T1,spop_scalar_times>
+ >::result
+operator*
+ (
+ const T1& X,
+ const typename T1::elem_type k
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return SpOp<T1,spop_scalar_times>(X, k);
+ }
+
+
+
+template<typename T1>
+inline
+typename
+enable_if2
+ <
+ is_arma_sparse_type<T1>::value,
+ SpOp<T1,spop_scalar_times>
+ >::result
+operator*
+ (
+ const typename T1::elem_type k,
+ const T1& X
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return SpOp<T1,spop_scalar_times>(X, k);
+ }
+
+
+
+//! non-complex sparse * complex scalar
+template<typename T1>
+arma_inline
+typename
+enable_if2
+ <
+ (is_arma_sparse_type<T1>::value && is_cx<typename T1::elem_type>::no),
+ const mtSpOp<typename std::complex<typename T1::pod_type>, T1, spop_cx_scalar_times>
+ >::result
+operator*
+ (
+ const T1& X,
+ const std::complex<typename T1::pod_type>& k
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return mtSpOp<typename std::complex<typename T1::pod_type>, T1, spop_cx_scalar_times>('j', X, k);
+ }
+
+
+
+//! complex scalar * non-complex sparse
+template<typename T1>
+arma_inline
+typename
+enable_if2
+ <
+ (is_arma_sparse_type<T1>::value && is_cx<typename T1::elem_type>::no),
+ const mtSpOp<typename std::complex<typename T1::pod_type>, T1, spop_cx_scalar_times>
+ >::result
+operator*
+ (
+ const std::complex<typename T1::pod_type>& k,
+ const T1& X
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return mtSpOp<typename std::complex<typename T1::pod_type>, T1, spop_cx_scalar_times>('j', X, k);
+ }
+
+
+
+//! multiplication of two sparse objects
+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),
+ const SpGlue<T1,T2,spglue_times>
+ >::result
+operator*
+ (
+ const T1& x,
+ const T2& y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return SpGlue<T1,T2,spglue_times>(x, y);
+ }
+
+
+
+//! 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),
+ const SpToDGlue<T1, T2, glue_times_sparse_dense>
+ >::result
+operator*
+ (
+ const T1& x,
+ const T2& y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return SpToDGlue<T1, T2, glue_times_sparse_dense>(x, y);
+ }
+
+
+
+//! 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),
+ const SpToDGlue<T1, T2, glue_times_dense_sparse>
+ >::result
+operator*
+ (
+ const T1& x,
+ const T2& y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ return SpToDGlue<T1, T2, glue_times_dense_sparse>(x, y);
+ }
+
+
+
+//! 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_times_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_times_mixed>( X, Y );
+ }
+
+
+
+//! 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),
+ Mat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result >
+ >::result
+operator*
+ (
+ const T1& X,
+ const T2& Y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ Mat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result > out;
+
+ glue_times_sparse_dense::apply_mixed(out, X, Y);
+
+ return out;
+ }
+
+
+
+//! 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),
+ Mat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result >
+ >::result
+operator*
+ (
+ const T1& X,
+ const T2& Y
+ )
+ {
+ arma_extra_debug_sigprint();
+
+ Mat< typename promote_type<typename T1::elem_type, typename T2::elem_type>::result > out;
+
+ glue_times_dense_sparse::apply_mixed(out, X, Y);
+
+ return out;
+ }
+
+
+
+//! @}