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author | Nao Pross <np@0hm.ch> | 2024-02-12 14:52:43 +0100 |
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committer | Nao Pross <np@0hm.ch> | 2024-02-12 14:52:43 +0100 |
commit | eda5bc26f44ee9a6f83dcf8c91f17296d7fc509d (patch) | |
tree | bc2efa38ff4e350f9a111ac87065cd7ae9a911c7 /src/armadillo/include/armadillo_bits/spop_diagmat_meat.hpp | |
download | fsisotool-eda5bc26f44ee9a6f83dcf8c91f17296d7fc509d.tar.gz fsisotool-eda5bc26f44ee9a6f83dcf8c91f17296d7fc509d.zip |
Move into version control
Diffstat (limited to 'src/armadillo/include/armadillo_bits/spop_diagmat_meat.hpp')
-rw-r--r-- | src/armadillo/include/armadillo_bits/spop_diagmat_meat.hpp | 456 |
1 files changed, 456 insertions, 0 deletions
diff --git a/src/armadillo/include/armadillo_bits/spop_diagmat_meat.hpp b/src/armadillo/include/armadillo_bits/spop_diagmat_meat.hpp new file mode 100644 index 0000000..a6f9faf --- /dev/null +++ b/src/armadillo/include/armadillo_bits/spop_diagmat_meat.hpp @@ -0,0 +1,456 @@ +// 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 spop_diagmat +//! @{ + + + +template<typename T1> +inline +void +spop_diagmat::apply(SpMat<typename T1::elem_type>& out, const SpOp<T1, spop_diagmat>& in) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + + if(in.is_alias(out) == false) + { + spop_diagmat::apply_noalias(out, in.m); + } + else + { + SpMat<eT> tmp; + + spop_diagmat::apply_noalias(tmp, in.m); + + out.steal_mem(tmp); + } + } + + + +template<typename T1> +inline +void +spop_diagmat::apply_noalias(SpMat<typename T1::elem_type>& out, const SpBase<typename T1::elem_type, T1>& expr) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + + const SpProxy<T1> P(expr.get_ref()); + + const uword P_n_rows = P.get_n_rows(); + const uword P_n_cols = P.get_n_cols(); + const uword P_n_nz = P.get_n_nonzero(); + + const bool P_is_vec = (P_n_rows == 1) || (P_n_cols == 1); + + if(P_is_vec) // generate a diagonal matrix out of a vector + { + const uword N = (P_n_rows == 1) ? P_n_cols : P_n_rows; + + out.zeros(N, N); + + if(P_n_nz == 0) { return; } + + typename SpProxy<T1>::const_iterator_type it = P.begin(); + + if(P_n_cols == 1) + { + for(uword i=0; i < P_n_nz; ++i) + { + const uword row = it.row(); + + out.at(row,row) = (*it); + + ++it; + } + } + else + if(P_n_rows == 1) + { + for(uword i=0; i < P_n_nz; ++i) + { + const uword col = it.col(); + + out.at(col,col) = (*it); + + ++it; + } + } + } + else // generate a diagonal matrix out of a matrix + { + out.zeros(P_n_rows, P_n_cols); + + const uword N = (std::min)(P_n_rows, P_n_cols); + + if( (is_SpMat<typename SpProxy<T1>::stored_type>::value) && (P_n_nz >= 5*N) ) + { + const unwrap_spmat<typename SpProxy<T1>::stored_type> U(P.Q); + + const SpMat<eT>& X = U.M; + + for(uword i=0; i < N; ++i) + { + const eT val = X.at(i,i); // use binary search + + if(val != eT(0)) { out.at(i,i) = val; } + } + } + else + { + if(P_n_nz == 0) { return; } + + typename SpProxy<T1>::const_iterator_type it = P.begin(); + + for(uword i=0; i < P_n_nz; ++i) + { + const uword row = it.row(); + const uword col = it.col(); + + if(row == col) { out.at(row,row) = (*it); } + + ++it; + } + } + } + } + + + +template<typename T1, typename T2> +inline +void +spop_diagmat::apply_noalias(SpMat<typename T1::elem_type>& out, const SpGlue<T1,T2,spglue_plus>& expr) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + + const unwrap_spmat<T1> UA(expr.A); + const unwrap_spmat<T2> UB(expr.B); + + const SpMat<eT>& A = UA.M; + const SpMat<eT>& B = UB.M; + + arma_debug_assert_same_size(A.n_rows, A.n_cols, B.n_rows, B.n_cols, "addition"); + + const bool is_vec = (A.n_rows == 1) || (A.n_cols == 1); + + if(is_vec) // generate a diagonal matrix out of a vector + { + const uword N = (A.n_rows == 1) ? A.n_cols : A.n_rows; + + out.zeros(N,N); + + if(A.n_rows == 1) + { + for(uword i=0; i < N; ++i) { out.at(i,i) = A.at(0,i) + B.at(0,i); } + } + else + { + for(uword i=0; i < N; ++i) { out.at(i,i) = A.at(i,0) + B.at(i,0); } + } + } + else // generate a diagonal matrix out of a matrix + { + SpMat<eT> AA; spop_diagmat::apply_noalias(AA, A); + SpMat<eT> BB; spop_diagmat::apply_noalias(BB, B); + + out = AA + BB; + } + } + + + +template<typename T1, typename T2> +inline +void +spop_diagmat::apply_noalias(SpMat<typename T1::elem_type>& out, const SpGlue<T1,T2,spglue_minus>& expr) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + + const unwrap_spmat<T1> UA(expr.A); + const unwrap_spmat<T2> UB(expr.B); + + const SpMat<eT>& A = UA.M; + const SpMat<eT>& B = UB.M; + + arma_debug_assert_same_size(A.n_rows, A.n_cols, B.n_rows, B.n_cols, "subtraction"); + + const bool is_vec = (A.n_rows == 1) || (A.n_cols == 1); + + if(is_vec) // generate a diagonal matrix out of a vector + { + const uword N = (A.n_rows == 1) ? A.n_cols : A.n_rows; + + out.zeros(N,N); + + if(A.n_rows == 1) + { + for(uword i=0; i < N; ++i) { out.at(i,i) = A.at(0,i) - B.at(0,i); } + } + else + { + for(uword i=0; i < N; ++i) { out.at(i,i) = A.at(i,0) - B.at(i,0); } + } + } + else // generate a diagonal matrix out of a matrix + { + SpMat<eT> AA; spop_diagmat::apply_noalias(AA, A); + SpMat<eT> BB; spop_diagmat::apply_noalias(BB, B); + + out = AA - BB; + } + } + + + +template<typename T1, typename T2> +inline +void +spop_diagmat::apply_noalias(SpMat<typename T1::elem_type>& out, const SpGlue<T1,T2,spglue_schur>& expr) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + + const unwrap_spmat<T1> UA(expr.A); + const unwrap_spmat<T2> UB(expr.B); + + const SpMat<eT>& A = UA.M; + const SpMat<eT>& B = UB.M; + + arma_debug_assert_same_size(A.n_rows, A.n_cols, B.n_rows, B.n_cols, "element-wise multiplication"); + + const bool is_vec = (A.n_rows == 1) || (A.n_cols == 1); + + if(is_vec) // generate a diagonal matrix out of a vector + { + const uword N = (A.n_rows == 1) ? A.n_cols : A.n_rows; + + out.zeros(N,N); + + if(A.n_rows == 1) + { + for(uword i=0; i < N; ++i) { out.at(i,i) = A.at(0,i) * B.at(0,i); } + } + else + { + for(uword i=0; i < N; ++i) { out.at(i,i) = A.at(i,0) * B.at(i,0); } + } + } + else // generate a diagonal matrix out of a matrix + { + SpMat<eT> AA; spop_diagmat::apply_noalias(AA, A); + SpMat<eT> BB; spop_diagmat::apply_noalias(BB, B); + + out = AA % BB; + } + } + + + +template<typename T1, typename T2> +inline +void +spop_diagmat::apply_noalias(SpMat<typename T1::elem_type>& out, const SpGlue<T1,T2,spglue_times>& expr) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + + const unwrap_spmat<T1> UA(expr.A); + const unwrap_spmat<T2> UB(expr.B); + + const SpMat<eT>& A = UA.M; + const SpMat<eT>& B = UB.M; + + arma_debug_assert_mul_size(A.n_rows, A.n_cols, B.n_rows, B.n_cols, "matrix multiplication"); + + const uword C_n_rows = A.n_rows; + const uword C_n_cols = B.n_cols; + + const bool is_vec = (C_n_rows == 1) || (C_n_cols == 1); + + if(is_vec) // generate a diagonal matrix out of a vector + { + const SpMat<eT> C = A*B; + + spop_diagmat::apply_noalias(out, C); + } + else // generate a diagonal matrix out of a matrix + { + const uword N = (std::min)(C_n_rows, C_n_cols); + + if( (A.n_nonzero >= 5*N) || (B.n_nonzero >= 5*N) ) + { + out.zeros(C_n_rows, C_n_cols); + + for(uword k=0; k < N; ++k) + { + typename SpMat<eT>::const_col_iterator B_it = B.begin_col_no_sync(k); + typename SpMat<eT>::const_col_iterator B_it_end = B.end_col_no_sync(k); + + eT acc = eT(0); + + while(B_it != B_it_end) + { + const eT B_val = (*B_it); + const uword i = B_it.row(); + + acc += A.at(k,i) * B_val; + + ++B_it; + } + + out(k,k) = acc; + } + } + else + { + const SpMat<eT> C = A*B; + + spop_diagmat::apply_noalias(out, C); + } + } + } + + + +// +// + + + +template<typename T1> +inline +void +spop_diagmat2::apply(SpMat<typename T1::elem_type>& out, const SpOp<T1, spop_diagmat2>& in) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + + const uword row_offset = in.aux_uword_a; + const uword col_offset = in.aux_uword_b; + + const unwrap_spmat<T1> U(in.m); + + if(U.is_alias(out)) + { + SpMat<eT> tmp; + + spop_diagmat2::apply_noalias(tmp, U.M, row_offset, col_offset); + + out.steal_mem(tmp); + } + else + { + spop_diagmat2::apply_noalias(out, U.M, row_offset, col_offset); + } + } + + + +template<typename eT> +inline +void +spop_diagmat2::apply_noalias(SpMat<eT>& out, const SpMat<eT>& X, const uword row_offset, const uword col_offset) + { + arma_extra_debug_sigprint(); + + const uword n_rows = X.n_rows; + const uword n_cols = X.n_cols; + const uword n_elem = X.n_elem; + + if(n_elem == 0) { out.reset(); return; } + + const bool X_is_vec = (n_rows == 1) || (n_cols == 1); + + if(X_is_vec) // generate a diagonal matrix out of a vector + { + const uword n_pad = (std::max)(row_offset, col_offset); + + out.zeros(n_elem + n_pad, n_elem + n_pad); + + const uword X_n_nz = X.n_nonzero; + + if(X_n_nz == 0) { return; } + + typename SpMat<eT>::const_iterator it = X.begin(); + + if(n_cols == 1) + { + for(uword i=0; i < X_n_nz; ++i) + { + const uword row = it.row(); + + out.at(row_offset + row, col_offset + row) = (*it); + + ++it; + } + } + else + if(n_rows == 1) + { + for(uword i=0; i < X_n_nz; ++i) + { + const uword col = it.col(); + + out.at(row_offset + col, col_offset + col) = (*it); + + ++it; + } + } + } + else // generate a diagonal matrix out of a matrix + { + arma_debug_check_bounds + ( + ((row_offset > 0) && (row_offset >= n_rows)) || ((col_offset > 0) && (col_offset >= n_cols)), + "diagmat(): requested diagonal out of bounds" + ); + + out.zeros(n_rows, n_cols); + + if(X.n_nonzero == 0) { return; } + + const uword N = (std::min)(n_rows - row_offset, n_cols - col_offset); + + for(uword i=0; i<N; ++i) + { + const uword row = i + row_offset; + const uword col = i + col_offset; + + const eT val = X.at(row,col); + + if(val != eT(0)) { out.at(row,col) = val; } + } + } + } + + + +//! @} |