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Diffstat (limited to 'src/armadillo/include/armadillo_bits/operator_times.hpp')
-rw-r--r-- | src/armadillo/include/armadillo_bits/operator_times.hpp | 482 |
1 files changed, 482 insertions, 0 deletions
diff --git a/src/armadillo/include/armadillo_bits/operator_times.hpp b/src/armadillo/include/armadillo_bits/operator_times.hpp new file mode 100644 index 0000000..861166c --- /dev/null +++ b/src/armadillo/include/armadillo_bits/operator_times.hpp @@ -0,0 +1,482 @@ +// 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; + } + + + +//! @} |