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Diffstat (limited to 'src/armadillo/include/armadillo_bits/op_strans_meat.hpp')
-rw-r--r-- | src/armadillo/include/armadillo_bits/op_strans_meat.hpp | 465 |
1 files changed, 465 insertions, 0 deletions
diff --git a/src/armadillo/include/armadillo_bits/op_strans_meat.hpp b/src/armadillo/include/armadillo_bits/op_strans_meat.hpp new file mode 100644 index 0000000..ed02d3b --- /dev/null +++ b/src/armadillo/include/armadillo_bits/op_strans_meat.hpp @@ -0,0 +1,465 @@ +// 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 op_strans +//! @{ + + + +//! for tiny square matrices (size <= 4x4) +template<typename eT, typename TA> +inline +void +op_strans::apply_mat_noalias_tinysq(Mat<eT>& out, const TA& A) + { + const eT* Am = A.memptr(); + eT* outm = out.memptr(); + + switch(A.n_rows) + { + case 1: + { + outm[0] = Am[0]; + } + break; + + case 2: + { + outm[pos<false,0,0>::n2] = Am[pos<true,0,0>::n2]; + outm[pos<false,1,0>::n2] = Am[pos<true,1,0>::n2]; + + outm[pos<false,0,1>::n2] = Am[pos<true,0,1>::n2]; + outm[pos<false,1,1>::n2] = Am[pos<true,1,1>::n2]; + } + break; + + case 3: + { + outm[pos<false,0,0>::n3] = Am[pos<true,0,0>::n3]; + outm[pos<false,1,0>::n3] = Am[pos<true,1,0>::n3]; + outm[pos<false,2,0>::n3] = Am[pos<true,2,0>::n3]; + + outm[pos<false,0,1>::n3] = Am[pos<true,0,1>::n3]; + outm[pos<false,1,1>::n3] = Am[pos<true,1,1>::n3]; + outm[pos<false,2,1>::n3] = Am[pos<true,2,1>::n3]; + + outm[pos<false,0,2>::n3] = Am[pos<true,0,2>::n3]; + outm[pos<false,1,2>::n3] = Am[pos<true,1,2>::n3]; + outm[pos<false,2,2>::n3] = Am[pos<true,2,2>::n3]; + } + break; + + case 4: + { + outm[pos<false,0,0>::n4] = Am[pos<true,0,0>::n4]; + outm[pos<false,1,0>::n4] = Am[pos<true,1,0>::n4]; + outm[pos<false,2,0>::n4] = Am[pos<true,2,0>::n4]; + outm[pos<false,3,0>::n4] = Am[pos<true,3,0>::n4]; + + outm[pos<false,0,1>::n4] = Am[pos<true,0,1>::n4]; + outm[pos<false,1,1>::n4] = Am[pos<true,1,1>::n4]; + outm[pos<false,2,1>::n4] = Am[pos<true,2,1>::n4]; + outm[pos<false,3,1>::n4] = Am[pos<true,3,1>::n4]; + + outm[pos<false,0,2>::n4] = Am[pos<true,0,2>::n4]; + outm[pos<false,1,2>::n4] = Am[pos<true,1,2>::n4]; + outm[pos<false,2,2>::n4] = Am[pos<true,2,2>::n4]; + outm[pos<false,3,2>::n4] = Am[pos<true,3,2>::n4]; + + outm[pos<false,0,3>::n4] = Am[pos<true,0,3>::n4]; + outm[pos<false,1,3>::n4] = Am[pos<true,1,3>::n4]; + outm[pos<false,2,3>::n4] = Am[pos<true,2,3>::n4]; + outm[pos<false,3,3>::n4] = Am[pos<true,3,3>::n4]; + } + break; + + default: + ; + } + + } + + + +template<typename eT> +inline +void +op_strans::block_worker(eT* Y, const eT* X, const uword X_n_rows, const uword Y_n_rows, const uword n_rows, const uword n_cols) + { + for(uword row = 0; row < n_rows; ++row) + { + const uword Y_offset = row * Y_n_rows; + + for(uword col = 0; col < n_cols; ++col) + { + const uword X_offset = col * X_n_rows; + + Y[col + Y_offset] = X[row + X_offset]; + } + } + } + + + +template<typename eT> +inline +void +op_strans::apply_mat_noalias_large(Mat<eT>& out, const Mat<eT>& A) + { + arma_extra_debug_sigprint(); + + const uword n_rows = A.n_rows; + const uword n_cols = A.n_cols; + + const uword block_size = 64; + + const uword n_rows_base = block_size * (n_rows / block_size); + const uword n_cols_base = block_size * (n_cols / block_size); + + const uword n_rows_extra = n_rows - n_rows_base; + const uword n_cols_extra = n_cols - n_cols_base; + + const eT* X = A.memptr(); + eT* Y = out.memptr(); + + for(uword row = 0; row < n_rows_base; row += block_size) + { + const uword Y_offset = row * n_cols; + + for(uword col = 0; col < n_cols_base; col += block_size) + { + const uword X_offset = col * n_rows; + + op_strans::block_worker(&Y[col + Y_offset], &X[row + X_offset], n_rows, n_cols, block_size, block_size); + } + + const uword X_offset = n_cols_base * n_rows; + + op_strans::block_worker(&Y[n_cols_base + Y_offset], &X[row + X_offset], n_rows, n_cols, block_size, n_cols_extra); + } + + if(n_rows_extra == 0) { return; } + + const uword Y_offset = n_rows_base * n_cols; + + for(uword col = 0; col < n_cols_base; col += block_size) + { + const uword X_offset = col * n_rows; + + op_strans::block_worker(&Y[col + Y_offset], &X[n_rows_base + X_offset], n_rows, n_cols, n_rows_extra, block_size); + } + + const uword X_offset = n_cols_base * n_rows; + + op_strans::block_worker(&Y[n_cols_base + Y_offset], &X[n_rows_base + X_offset], n_rows, n_cols, n_rows_extra, n_cols_extra); + } + + + +//! Immediate transpose of a dense matrix +template<typename eT, typename TA> +inline +void +op_strans::apply_mat_noalias(Mat<eT>& out, const TA& A) + { + arma_extra_debug_sigprint(); + + const uword A_n_cols = A.n_cols; + const uword A_n_rows = A.n_rows; + + out.set_size(A_n_cols, A_n_rows); + + if( (TA::is_row) || (TA::is_col) || (A_n_cols == 1) || (A_n_rows == 1) ) + { + arrayops::copy( out.memptr(), A.memptr(), A.n_elem ); + } + else + { + if( (A_n_rows <= 4) && (A_n_rows == A_n_cols) ) + { + op_strans::apply_mat_noalias_tinysq(out, A); + } + else + if( (A_n_rows >= 512) && (A_n_cols >= 512) ) + { + op_strans::apply_mat_noalias_large(out, A); + } + else + { + eT* outptr = out.memptr(); + + for(uword k=0; k < A_n_rows; ++k) + { + const eT* Aptr = &(A.at(k,0)); + + uword j; + for(j=1; j < A_n_cols; j+=2) + { + const eT tmp_i = (*Aptr); Aptr += A_n_rows; + const eT tmp_j = (*Aptr); Aptr += A_n_rows; + + (*outptr) = tmp_i; outptr++; + (*outptr) = tmp_j; outptr++; + } + + if((j-1) < A_n_cols) + { + (*outptr) = (*Aptr); outptr++;; + } + } + } + } + } + + + +template<typename eT> +inline +void +op_strans::apply_mat_inplace(Mat<eT>& out) + { + arma_extra_debug_sigprint(); + + const uword n_rows = out.n_rows; + const uword n_cols = out.n_cols; + + if(n_rows == n_cols) + { + arma_extra_debug_print("op_strans::apply(): doing in-place transpose of a square matrix"); + + const uword N = n_rows; + + for(uword k=0; k < N; ++k) + { + eT* colptr = &(out.at(k,k)); + eT* rowptr = colptr; + + colptr++; + rowptr += N; + + uword j; + + for(j=(k+2); j < N; j+=2) + { + std::swap( (*rowptr), (*colptr) ); rowptr += N; colptr++; + std::swap( (*rowptr), (*colptr) ); rowptr += N; colptr++; + } + + if((j-1) < N) + { + std::swap( (*rowptr), (*colptr) ); + } + } + } + else + { + Mat<eT> tmp; + + op_strans::apply_mat_noalias(tmp, out); + + out.steal_mem(tmp); + } + } + + + +template<typename eT, typename TA> +inline +void +op_strans::apply_mat(Mat<eT>& out, const TA& A) + { + arma_extra_debug_sigprint(); + + if(&out != &A) + { + op_strans::apply_mat_noalias(out, A); + } + else + { + op_strans::apply_mat_inplace(out); + } + } + + + +template<typename T1> +inline +void +op_strans::apply_proxy(Mat<typename T1::elem_type>& out, const Proxy<T1>& P) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + + const uword n_rows = P.get_n_rows(); + const uword n_cols = P.get_n_cols(); + + if( (resolves_to_vector<T1>::yes) && (Proxy<T1>::use_at == false) ) + { + out.set_size(n_cols, n_rows); + + eT* out_mem = out.memptr(); + + const uword n_elem = P.get_n_elem(); + + typename Proxy<T1>::ea_type Pea = P.get_ea(); + + uword i,j; + for(i=0, j=1; j < n_elem; i+=2, j+=2) + { + const eT tmp_i = Pea[i]; + const eT tmp_j = Pea[j]; + + out_mem[i] = tmp_i; + out_mem[j] = tmp_j; + } + + if(i < n_elem) + { + out_mem[i] = Pea[i]; + } + } + else // general matrix transpose + { + out.set_size(n_cols, n_rows); + + eT* outptr = out.memptr(); + + for(uword k=0; k < n_rows; ++k) + { + uword j; + for(j=1; j < n_cols; j+=2) + { + const uword i = j-1; + + const eT tmp_i = P.at(k,i); + const eT tmp_j = P.at(k,j); + + (*outptr) = tmp_i; outptr++; + (*outptr) = tmp_j; outptr++; + } + + const uword i = j-1; + + if(i < n_cols) + { + (*outptr) = P.at(k,i); outptr++; + } + } + } + } + + + +template<typename T1> +inline +void +op_strans::apply_direct(Mat<typename T1::elem_type>& out, const T1& X) + { + arma_extra_debug_sigprint(); + + typedef typename T1::elem_type eT; + + // allow detection of in-place transpose + if(is_Mat<T1>::value || (arma_config::openmp && Proxy<T1>::use_mp)) + { + const unwrap<T1> U(X); + + op_strans::apply_mat(out, U.M); + } + else + { + const Proxy<T1> P(X); + + const bool is_alias = P.is_alias(out); + + if(is_Mat<typename Proxy<T1>::stored_type>::value) + { + const quasi_unwrap<typename Proxy<T1>::stored_type> U(P.Q); + + if(is_alias) + { + Mat<eT> tmp; + + op_strans::apply_mat_noalias(tmp, U.M); + + out.steal_mem(tmp); + } + else + { + op_strans::apply_mat_noalias(out, U.M); + } + } + else + { + if(is_alias) + { + Mat<eT> tmp; + + op_strans::apply_proxy(tmp, P); + + out.steal_mem(tmp); + } + else + { + op_strans::apply_proxy(out, P); + } + } + } + } + + + +template<typename T1> +inline +void +op_strans::apply(Mat<typename T1::elem_type>& out, const Op<T1,op_strans>& in) + { + arma_extra_debug_sigprint(); + + op_strans::apply_direct(out, in.m); + } + + + +// +// +// + + + +template<typename eT> +inline +void +op_strans_cube::apply_noalias(Cube<eT>& out, const Cube<eT>& X) + { + out.set_size(X.n_cols, X.n_rows, X.n_slices); + + for(uword s=0; s < X.n_slices; ++s) + { + Mat<eT> out_slice( out.slice_memptr(s), X.n_cols, X.n_rows, false, true ); + + const Mat<eT> X_slice( const_cast<eT*>(X.slice_memptr(s)), X.n_rows, X.n_cols, false, true ); + + op_strans::apply_mat_noalias(out_slice, X_slice); + } + } + + + +//! @} |