// 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 SpMat //! @{ /////////////////////////////////////////////////////////////////////////////// // SpMat::iterator_base implementation // /////////////////////////////////////////////////////////////////////////////// template inline SpMat::iterator_base::iterator_base() : M(nullptr) , internal_col(0) , internal_pos(0) { // Technically this iterator is invalid (it does not point to a valid element) } template inline SpMat::iterator_base::iterator_base(const SpMat& in_M) : M(&in_M) , internal_col(0) , internal_pos(0) { // Technically this iterator is invalid (it may not point to a valid element) } template inline SpMat::iterator_base::iterator_base(const SpMat& in_M, const uword in_col, const uword in_pos) : M(&in_M) , internal_col(in_col) , internal_pos(in_pos) { // Nothing to do. } template arma_inline eT SpMat::iterator_base::operator*() const { return M->values[internal_pos]; } /////////////////////////////////////////////////////////////////////////////// // SpMat::const_iterator implementation // /////////////////////////////////////////////////////////////////////////////// template inline SpMat::const_iterator::const_iterator() : iterator_base() { } template inline SpMat::const_iterator::const_iterator(const SpMat& in_M, uword initial_pos) : iterator_base(in_M, 0, initial_pos) { // Corner case for empty matrices. if(in_M.n_nonzero == 0) { iterator_base::internal_col = in_M.n_cols; return; } // Determine which column we should be in. while(iterator_base::M->col_ptrs[iterator_base::internal_col + 1] <= iterator_base::internal_pos) { iterator_base::internal_col++; } } template inline SpMat::const_iterator::const_iterator(const SpMat& in_M, uword in_row, uword in_col) : iterator_base(in_M, in_col, 0) { // So we have a position we want to be right after. Skip to the column. iterator_base::internal_pos = iterator_base::M->col_ptrs[iterator_base::internal_col]; // Now we have to make sure that is the right column. while(iterator_base::M->col_ptrs[iterator_base::internal_col + 1] <= iterator_base::internal_pos) { iterator_base::internal_col++; } // Now we have to get to the right row. while((iterator_base::M->row_indices[iterator_base::internal_pos] < in_row) && (iterator_base::internal_col == in_col)) { ++(*this); // Increment iterator. } } template inline SpMat::const_iterator::const_iterator(const SpMat& in_M, const uword /* in_row */, const uword in_col, const uword in_pos) : iterator_base(in_M, in_col, in_pos) { // Nothing to do. } template inline SpMat::const_iterator::const_iterator(const typename SpMat::const_iterator& other) : iterator_base(*other.M, other.internal_col, other.internal_pos) { // Nothing to do. } template inline typename SpMat::const_iterator& SpMat::const_iterator::operator++() { ++iterator_base::internal_pos; if(iterator_base::internal_pos == iterator_base::M->n_nonzero) { iterator_base::internal_col = iterator_base::M->n_cols; return *this; } // Check to see if we moved a column. while(iterator_base::M->col_ptrs[iterator_base::internal_col + 1] <= iterator_base::internal_pos) { ++iterator_base::internal_col; } return *this; } template inline typename SpMat::const_iterator SpMat::const_iterator::operator++(int) { typename SpMat::const_iterator tmp(*this); ++(*this); return tmp; } template inline typename SpMat::const_iterator& SpMat::const_iterator::operator--() { --iterator_base::internal_pos; // First, see if we moved back a column. while(iterator_base::internal_pos < iterator_base::M->col_ptrs[iterator_base::internal_col]) { --iterator_base::internal_col; } return *this; } template inline typename SpMat::const_iterator SpMat::const_iterator::operator--(int) { typename SpMat::const_iterator tmp(*this); --(*this); return tmp; } template inline bool SpMat::const_iterator::operator==(const const_iterator& rhs) const { return (rhs.row() == (*this).row()) && (rhs.col() == iterator_base::internal_col); } template inline bool SpMat::const_iterator::operator!=(const const_iterator& rhs) const { return (rhs.row() != (*this).row()) || (rhs.col() != iterator_base::internal_col); } template inline bool SpMat::const_iterator::operator==(const typename SpSubview::const_iterator& rhs) const { return (rhs.row() == (*this).row()) && (rhs.col() == iterator_base::internal_col); } template inline bool SpMat::const_iterator::operator!=(const typename SpSubview::const_iterator& rhs) const { return (rhs.row() != (*this).row()) || (rhs.col() != iterator_base::internal_col); } template inline bool SpMat::const_iterator::operator==(const const_row_iterator& rhs) const { return (rhs.row() == (*this).row()) && (rhs.col() == iterator_base::internal_col); } template inline bool SpMat::const_iterator::operator!=(const const_row_iterator& rhs) const { return (rhs.row() != (*this).row()) || (rhs.col() != iterator_base::internal_col); } template inline bool SpMat::const_iterator::operator==(const typename SpSubview::const_row_iterator& rhs) const { return (rhs.row() == (*this).row()) && (rhs.col() == iterator_base::internal_col); } template inline bool SpMat::const_iterator::operator!=(const typename SpSubview::const_row_iterator& rhs) const { return (rhs.row() != (*this).row()) || (rhs.col() != iterator_base::internal_col); } /////////////////////////////////////////////////////////////////////////////// // SpMat::iterator implementation // /////////////////////////////////////////////////////////////////////////////// template inline SpValProxy< SpMat > SpMat::iterator::operator*() { return SpValProxy< SpMat >( iterator_base::M->row_indices[iterator_base::internal_pos], iterator_base::internal_col, access::rw(*iterator_base::M), &access::rw(iterator_base::M->values[iterator_base::internal_pos])); } template inline typename SpMat::iterator& SpMat::iterator::operator++() { const_iterator::operator++(); return *this; } template inline typename SpMat::iterator SpMat::iterator::operator++(int) { typename SpMat::iterator tmp(*this); const_iterator::operator++(); return tmp; } template inline typename SpMat::iterator& SpMat::iterator::operator--() { const_iterator::operator--(); return *this; } template inline typename SpMat::iterator SpMat::iterator::operator--(int) { typename SpMat::iterator tmp(*this); const_iterator::operator--(); return tmp; } /////////////////////////////////////////////////////////////////////////////// // SpMat::const_row_iterator implementation // /////////////////////////////////////////////////////////////////////////////// /** * Initialize the const_row_iterator. */ template inline SpMat::const_row_iterator::const_row_iterator() : iterator_base() , internal_row(0) , actual_pos(0) { } template inline SpMat::const_row_iterator::const_row_iterator(const SpMat& in_M, uword initial_pos) : iterator_base(in_M, 0, initial_pos) , internal_row(0) , actual_pos(0) { // Corner case for the end of a matrix. if(initial_pos == in_M.n_nonzero) { iterator_base::internal_col = 0; internal_row = in_M.n_rows; actual_pos = in_M.n_nonzero; iterator_base::internal_pos = in_M.n_nonzero; return; } // We don't count zeros in our position count, so we have to find the nonzero // value corresponding to the given initial position. We assume initial_pos // is valid. // This is irritating because we don't know where the elements are in each row. // What we will do is loop across all columns looking for elements in row 0 // (and add to our sum), then in row 1, and so forth, until we get to the desired position. uword cur_pos = std::numeric_limits::max(); // Invalid value. uword cur_actual_pos = 0; for(uword row = 0; row < iterator_base::M->n_rows; ++row) { for(uword col = 0; col < iterator_base::M->n_cols; ++col) { // Find the first element with row greater than or equal to in_row. const uword col_offset = iterator_base::M->col_ptrs[col ]; const uword next_col_offset = iterator_base::M->col_ptrs[col + 1]; const uword* start_ptr = &iterator_base::M->row_indices[ col_offset]; const uword* end_ptr = &iterator_base::M->row_indices[next_col_offset]; if(start_ptr != end_ptr) { const uword* pos_ptr = std::lower_bound(start_ptr, end_ptr, row); // This is the number of elements in the column with row index less than in_row. const uword offset = uword(pos_ptr - start_ptr); if(iterator_base::M->row_indices[col_offset + offset] == row) { cur_actual_pos = col_offset + offset; // Increment position portably. if(cur_pos == std::numeric_limits::max()) { cur_pos = 0; } else { ++cur_pos; } // Do we terminate? if(cur_pos == initial_pos) { internal_row = row; iterator_base::internal_col = col; iterator_base::internal_pos = cur_pos; actual_pos = cur_actual_pos; return; } } } } } // If we got to here, then we have gone past the end of the matrix. // This shouldn't happen... iterator_base::internal_pos = iterator_base::M->n_nonzero; iterator_base::internal_col = 0; internal_row = iterator_base::M->n_rows; actual_pos = iterator_base::M->n_nonzero; } template inline SpMat::const_row_iterator::const_row_iterator(const SpMat& in_M, uword in_row, uword in_col) : iterator_base(in_M, in_col, 0) , internal_row(0) , actual_pos(0) { // Start our search in the given row. We need to find two things: // // 1. The first nonzero element (iterating by rows) after (in_row, in_col). // 2. The number of nonzero elements (iterating by rows) that come before // (in_row, in_col). // // We'll find these simultaneously, though we will have to loop over all // columns. // This will hold the total number of points with rows less than in_row. uword cur_pos = 0; uword cur_min_row = iterator_base::M->n_rows; uword cur_min_col = 0; uword cur_actual_pos = 0; for(uword col = 0; col < iterator_base::M->n_cols; ++col) { // Find the first element with row greater than or equal to in_row. const uword col_offset = iterator_base::M->col_ptrs[col ]; const uword next_col_offset = iterator_base::M->col_ptrs[col + 1]; const uword* start_ptr = &iterator_base::M->row_indices[ col_offset]; const uword* end_ptr = &iterator_base::M->row_indices[next_col_offset]; if(start_ptr != end_ptr) { const uword* pos_ptr = std::lower_bound(start_ptr, end_ptr, in_row); // This is the number of elements in the column with row index less than in_row. const uword offset = uword(pos_ptr - start_ptr); cur_pos += offset; if(pos_ptr != end_ptr) { // This is the row index of the first element in the column with row index // greater than or equal to in_row. if((*pos_ptr) < cur_min_row) { // If we are in the desired row but before the desired column, // we can't take this. if(col >= in_col) { cur_min_row = (*pos_ptr); cur_min_col = col; cur_actual_pos = col_offset + offset; } } } } } // Now we know what the minimum row is. internal_row = cur_min_row; iterator_base::internal_col = cur_min_col; iterator_base::internal_pos = cur_pos; actual_pos = cur_actual_pos; } /** * Initialize the const_row_iterator from another const_row_iterator. */ template inline SpMat::const_row_iterator::const_row_iterator(const typename SpMat::const_row_iterator& other) : iterator_base(*other.M, other.internal_col, other.internal_pos) , internal_row(other.internal_row) , actual_pos(other.actual_pos) { // Nothing to do. } /** * Increment the row_iterator. */ template inline typename SpMat::const_row_iterator& SpMat::const_row_iterator::operator++() { // We just need to find the next nonzero element. iterator_base::internal_pos++; if(iterator_base::internal_pos == iterator_base::M->n_nonzero) { internal_row = iterator_base::M->n_rows; iterator_base::internal_col = 0; return *this; } // Otherwise, we need to search. We can start in the next column and use // lower_bound() to find the next element. uword next_min_row = iterator_base::M->n_rows; uword next_min_col = iterator_base::M->n_cols; uword next_actual_pos = 0; // Search from the current column to the end of the matrix. for(uword col = iterator_base::internal_col + 1; col < iterator_base::M->n_cols; ++col) { // Find the first element with row greater than or equal to in_row. const uword col_offset = iterator_base::M->col_ptrs[col ]; const uword next_col_offset = iterator_base::M->col_ptrs[col + 1]; const uword* start_ptr = &iterator_base::M->row_indices[ col_offset]; const uword* end_ptr = &iterator_base::M->row_indices[next_col_offset]; if(start_ptr != end_ptr) { // Find the first element in the column with row greater than or equal to // the current row. const uword* pos_ptr = std::lower_bound(start_ptr, end_ptr, internal_row); if(pos_ptr != end_ptr) { // We found something in the column, but is the row index correct? if((*pos_ptr) == internal_row) { // Exact match---so we are done. iterator_base::internal_col = col; actual_pos = col_offset + (pos_ptr - start_ptr); return *this; } else if((*pos_ptr) < next_min_row) { // The first element in this column is in a subsequent row, but it's // the minimum row we've seen so far. next_min_row = (*pos_ptr); next_min_col = col; next_actual_pos = col_offset + (pos_ptr - start_ptr); } else if((*pos_ptr) == next_min_row && col < next_min_col) { // The first element in this column is in a subsequent row that we // already have another element for, but the column index is less so // this element will come first. next_min_col = col; next_actual_pos = col_offset + (pos_ptr - start_ptr); } } } } // Restart the search in the next row. for(uword col = 0; col <= iterator_base::internal_col; ++col) { // Find the first element with row greater than or equal to in_row + 1. const uword col_offset = iterator_base::M->col_ptrs[col ]; const uword next_col_offset = iterator_base::M->col_ptrs[col + 1]; const uword* start_ptr = &iterator_base::M->row_indices[ col_offset]; const uword* end_ptr = &iterator_base::M->row_indices[next_col_offset]; if(start_ptr != end_ptr) { const uword* pos_ptr = std::lower_bound(start_ptr, end_ptr, internal_row + 1); if(pos_ptr != end_ptr) { // We found something in the column, but is the row index correct? if((*pos_ptr) == internal_row + 1) { // Exact match---so we are done. iterator_base::internal_col = col; internal_row++; actual_pos = col_offset + (pos_ptr - start_ptr); return *this; } else if((*pos_ptr) < next_min_row) { // The first element in this column is in a subsequent row, // but it's the minimum row we've seen so far. next_min_row = (*pos_ptr); next_min_col = col; next_actual_pos = col_offset + (pos_ptr - start_ptr); } else if((*pos_ptr) == next_min_row && col < next_min_col) { // The first element in this column is in a subsequent row that we // already have another element for, but the column index is less so // this element will come first. next_min_col = col; next_actual_pos = col_offset + (pos_ptr - start_ptr); } } } } iterator_base::internal_col = next_min_col; internal_row = next_min_row; actual_pos = next_actual_pos; return *this; // Now we are done. } /** * Increment the row_iterator (but do not return anything. */ template inline typename SpMat::const_row_iterator SpMat::const_row_iterator::operator++(int) { typename SpMat::const_row_iterator tmp(*this); ++(*this); return tmp; } /** * Decrement the row_iterator. */ template inline typename SpMat::const_row_iterator& SpMat::const_row_iterator::operator--() { if(iterator_base::internal_pos == 0) { // Do nothing; we are already at the beginning. return *this; } iterator_base::internal_pos--; // We have to search backwards. We'll do this by going backwards over columns // and seeing if we find an element in the same row. uword max_row = 0; uword max_col = 0; uword next_actual_pos = 0; //for(uword col = iterator_base::internal_col; col > 1; --col) for(uword col = iterator_base::internal_col; col >= 1; --col) { // Find the first element with row greater than or equal to in_row + 1. const uword col_offset = iterator_base::M->col_ptrs[col - 1]; const uword next_col_offset = iterator_base::M->col_ptrs[col ]; const uword* start_ptr = &iterator_base::M->row_indices[ col_offset]; const uword* end_ptr = &iterator_base::M->row_indices[next_col_offset]; if(start_ptr != end_ptr) { // There are elements in this column. const uword* pos_ptr = std::lower_bound(start_ptr, end_ptr, internal_row + 1); if(pos_ptr != start_ptr) { // The element before pos_ptr is the one we are interested in. if(*(pos_ptr - 1) > max_row) { max_row = *(pos_ptr - 1); max_col = col - 1; next_actual_pos = col_offset + (pos_ptr - 1 - start_ptr); } else if(*(pos_ptr - 1) == max_row && (col - 1) > max_col) { max_col = col - 1; next_actual_pos = col_offset + (pos_ptr - 1 - start_ptr); } } } } // Now loop around to the columns at the end of the matrix. for(uword col = iterator_base::M->n_cols - 1; col >= iterator_base::internal_col; --col) { // Find the first element with row greater than or equal to in_row + 1. const uword col_offset = iterator_base::M->col_ptrs[col ]; const uword next_col_offset = iterator_base::M->col_ptrs[col + 1]; const uword* start_ptr = &iterator_base::M->row_indices[ col_offset]; const uword* end_ptr = &iterator_base::M->row_indices[next_col_offset]; if(start_ptr != end_ptr) { // There are elements in this column. const uword* pos_ptr = std::lower_bound(start_ptr, end_ptr, internal_row); if(pos_ptr != start_ptr) { // There are elements in this column with row index < internal_row. if(*(pos_ptr - 1) > max_row) { max_row = *(pos_ptr - 1); max_col = col; next_actual_pos = col_offset + (pos_ptr - 1 - start_ptr); } else if(*(pos_ptr - 1) == max_row && col > max_col) { max_col = col; next_actual_pos = col_offset + (pos_ptr - 1 - start_ptr); } } } if(col == 0) // Catch edge case that the loop termination condition won't. { break; } } iterator_base::internal_col = max_col; internal_row = max_row; actual_pos = next_actual_pos; return *this; } /** * Decrement the row_iterator. */ template inline typename SpMat::const_row_iterator SpMat::const_row_iterator::operator--(int) { typename SpMat::const_row_iterator tmp(*this); --(*this); return tmp; } template inline bool SpMat::const_row_iterator::operator==(const const_iterator& rhs) const { return (rhs.row() == row()) && (rhs.col() == iterator_base::internal_col); } template inline bool SpMat::const_row_iterator::operator!=(const const_iterator& rhs) const { return (rhs.row() != row()) || (rhs.col() != iterator_base::internal_col); } template inline bool SpMat::const_row_iterator::operator==(const typename SpSubview::const_iterator& rhs) const { return (rhs.row() == row()) && (rhs.col() == iterator_base::internal_col); } template inline bool SpMat::const_row_iterator::operator!=(const typename SpSubview::const_iterator& rhs) const { return (rhs.row() != row()) || (rhs.col() != iterator_base::internal_col); } template inline bool SpMat::const_row_iterator::operator==(const const_row_iterator& rhs) const { return (rhs.row() == row()) && (rhs.col() == iterator_base::internal_col); } template inline bool SpMat::const_row_iterator::operator!=(const const_row_iterator& rhs) const { return (rhs.row() != row()) || (rhs.col() != iterator_base::internal_col); } template inline bool SpMat::const_row_iterator::operator==(const typename SpSubview::const_row_iterator& rhs) const { return (rhs.row() == row()) && (rhs.col() == iterator_base::internal_col); } template inline bool SpMat::const_row_iterator::operator!=(const typename SpSubview::const_row_iterator& rhs) const { return (rhs.row() != row()) || (rhs.col() != iterator_base::internal_col); } /////////////////////////////////////////////////////////////////////////////// // SpMat::row_iterator implementation // /////////////////////////////////////////////////////////////////////////////// template inline SpValProxy< SpMat > SpMat::row_iterator::operator*() { return SpValProxy< SpMat >( const_row_iterator::internal_row, iterator_base::internal_col, access::rw(*iterator_base::M), &access::rw(iterator_base::M->values[const_row_iterator::actual_pos])); } template inline typename SpMat::row_iterator& SpMat::row_iterator::operator++() { const_row_iterator::operator++(); return *this; } template inline typename SpMat::row_iterator SpMat::row_iterator::operator++(int) { typename SpMat::row_iterator tmp(*this); const_row_iterator::operator++(); return tmp; } template inline typename SpMat::row_iterator& SpMat::row_iterator::operator--() { const_row_iterator::operator--(); return *this; } template inline typename SpMat::row_iterator SpMat::row_iterator::operator--(int) { typename SpMat::row_iterator tmp(*this); const_row_iterator::operator--(); return tmp; } //! @}