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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 SpMat
+//! @{
+
+
+//! Sparse matrix class, with data stored in compressed sparse column (CSC) format
+template<typename eT>
+class SpMat : public SpBase< eT, SpMat<eT> >
+ {
+ public:
+
+ typedef eT elem_type; //!< the type of elements stored in the matrix
+ typedef typename get_pod_type<eT>::result pod_type; //!< if eT is std::complex<T>, pod_type is T; otherwise pod_type is eT
+
+ static constexpr bool is_row = false;
+ static constexpr bool is_col = false;
+ static constexpr bool is_xvec = false;
+
+ const uword n_rows; //!< number of rows (read-only)
+ const uword n_cols; //!< number of columns (read-only)
+ const uword n_elem; //!< number of elements (read-only)
+ const uword n_nonzero; //!< number of nonzero elements (read-only)
+ const uword vec_state; //!< 0: matrix; 1: column vector; 2: row vector
+
+
+ // The memory used to store the values of the matrix.
+ // In accordance with the CSC format, this stores only the actual values.
+ // The correct locations of the values are assembled from the row indices and column pointers.
+ //
+ // The length of this array is (n_nonzero + 1).
+ // The final value values[n_nonzero] must be zero to ensure integrity of iterators.
+ // Use mem_resize(new_n_nonzero) to resize this array.
+ //
+ // WARNING: the 'values' array is only valid after sync() is called;
+ // WARNING: there is a separate cache for fast element insertion
+
+ arma_aligned const eT* const values;
+
+
+ // The row indices of each value. row_indices[i] is the row of values[i].
+ //
+ // The length of this array is (n_nonzero + 1).
+ // The final value row_indices[n_nonzero] must be zero to ensure integrity of iterators.
+ // Use mem_resize(new_n_nonzero) to resize this array.
+ //
+ // WARNING: the 'row_indices' array is only valid after sync() is called;
+ // WARNING: there is a separate cache for fast element insertion
+
+ arma_aligned const uword* const row_indices;
+
+
+ // The column pointers. This stores the index of the first item in column i.
+ // That is, values[col_ptrs[i]] is the first value in column i,
+ // and it is in the row indicated by row_indices[col_ptrs[i]].
+ //
+ // The length of this array is (n_cols + 2).
+ // The element col_ptrs[n_cols] must be equal to n_nonzero.
+ // The element col_ptrs[n_cols + 1] must be an invalid very large value to ensure integrity of iterators.
+ //
+ // The col_ptrs array is set by the init() function
+ // (which is called by constructors, set_size() and other functions that change the matrix size).
+ //
+ // WARNING: the 'col_ptrs' array is only valid after sync() is called;
+ // WARNING: there is a separate cache for fast element insertion
+
+ arma_aligned const uword* const col_ptrs;
+
+ inline SpMat();
+ inline ~SpMat();
+
+ inline explicit SpMat(const uword in_rows, const uword in_cols);
+ inline explicit SpMat(const SizeMat& s);
+
+ inline SpMat(const char* text);
+ inline SpMat& operator=(const char* text);
+ inline SpMat(const std::string& text);
+ inline SpMat& operator=(const std::string& text);
+ inline SpMat(const SpMat<eT>& x);
+
+ inline SpMat(SpMat&& m);
+ inline SpMat& operator=(SpMat&& m);
+
+ inline explicit SpMat(const MapMat<eT>& x);
+ inline SpMat& operator= (const MapMat<eT>& x);
+
+ template<typename T1, typename T2, typename T3>
+ inline SpMat(const Base<uword,T1>& rowind, const Base<uword,T2>& colptr, const Base<eT,T3>& values, const uword n_rows, const uword n_cols, const bool check_for_zeros = true);
+
+ template<typename T1, typename T2>
+ inline SpMat(const Base<uword,T1>& locations, const Base<eT,T2>& values, const bool sort_locations = true);
+
+ template<typename T1, typename T2>
+ inline SpMat(const Base<uword,T1>& locations, const Base<eT,T2>& values, const uword n_rows, const uword n_cols, const bool sort_locations = true, const bool check_for_zeros = true);
+
+ template<typename T1, typename T2>
+ inline SpMat(const bool add_values, const Base<uword,T1>& locations, const Base<eT,T2>& values, const uword n_rows, const uword n_cols, const bool sort_locations = true, const bool check_for_zeros = true);
+
+ inline SpMat& operator= (const eT val); //! sets size to 1x1
+ inline SpMat& operator*=(const eT val);
+ inline SpMat& operator/=(const eT val);
+ // operator+=(val) and operator-=(val) are not defined as they don't make sense for sparse matrices
+
+ inline SpMat& operator= (const SpMat& m);
+ inline SpMat& operator+=(const SpMat& m);
+ inline SpMat& operator-=(const SpMat& m);
+ inline SpMat& operator*=(const SpMat& m);
+ inline SpMat& operator%=(const SpMat& m);
+ inline SpMat& operator/=(const SpMat& m);
+
+ template<typename T1> inline explicit SpMat(const Base<eT, T1>& m);
+ template<typename T1> inline SpMat& operator= (const Base<eT, T1>& m);
+ template<typename T1> inline SpMat& operator+=(const Base<eT, T1>& m);
+ template<typename T1> inline SpMat& operator-=(const Base<eT, T1>& m);
+ template<typename T1> inline SpMat& operator*=(const Base<eT, T1>& m);
+ template<typename T1> inline SpMat& operator/=(const Base<eT, T1>& m);
+ template<typename T1> inline SpMat& operator%=(const Base<eT, T1>& m);
+
+ template<typename T1> inline explicit SpMat(const Op<T1, op_diagmat>& expr);
+ template<typename T1> inline SpMat& operator= (const Op<T1, op_diagmat>& expr);
+ template<typename T1> inline SpMat& operator+=(const Op<T1, op_diagmat>& expr);
+ template<typename T1> inline SpMat& operator-=(const Op<T1, op_diagmat>& expr);
+ template<typename T1> inline SpMat& operator*=(const Op<T1, op_diagmat>& expr);
+ template<typename T1> inline SpMat& operator/=(const Op<T1, op_diagmat>& expr);
+ template<typename T1> inline SpMat& operator%=(const Op<T1, op_diagmat>& expr);
+
+ //! explicit specification of sparse +/- scalar
+ template<typename T1, typename op_type> inline explicit SpMat(const SpToDOp<T1, op_type>& expr);
+
+ //! construction of complex matrix out of two non-complex matrices
+ template<typename T1, typename T2>
+ inline explicit SpMat(const SpBase<pod_type, T1>& A, const SpBase<pod_type, T2>& B);
+
+ inline SpMat(const SpSubview<eT>& X);
+ inline SpMat& operator= (const SpSubview<eT>& X);
+ inline SpMat& operator+=(const SpSubview<eT>& X);
+ inline SpMat& operator-=(const SpSubview<eT>& X);
+ inline SpMat& operator*=(const SpSubview<eT>& X);
+ inline SpMat& operator%=(const SpSubview<eT>& X);
+ inline SpMat& operator/=(const SpSubview<eT>& X);
+
+ template<typename T1> inline SpMat(const SpSubview_col_list<eT,T1>& X);
+ template<typename T1> inline SpMat& operator= (const SpSubview_col_list<eT,T1>& X);
+ template<typename T1> inline SpMat& operator+=(const SpSubview_col_list<eT,T1>& X);
+ template<typename T1> inline SpMat& operator-=(const SpSubview_col_list<eT,T1>& X);
+ template<typename T1> inline SpMat& operator*=(const SpSubview_col_list<eT,T1>& X);
+ template<typename T1> inline SpMat& operator%=(const SpSubview_col_list<eT,T1>& X);
+ template<typename T1> inline SpMat& operator/=(const SpSubview_col_list<eT,T1>& X);
+
+ inline SpMat(const spdiagview<eT>& X);
+ inline SpMat& operator= (const spdiagview<eT>& X);
+ inline SpMat& operator+=(const spdiagview<eT>& X);
+ inline SpMat& operator-=(const spdiagview<eT>& X);
+ inline SpMat& operator*=(const spdiagview<eT>& X);
+ inline SpMat& operator%=(const spdiagview<eT>& X);
+ inline SpMat& operator/=(const spdiagview<eT>& X);
+
+ // delayed unary ops
+ template<typename T1, typename spop_type> inline SpMat(const SpOp<T1, spop_type>& X);
+ template<typename T1, typename spop_type> inline SpMat& operator= (const SpOp<T1, spop_type>& X);
+ template<typename T1, typename spop_type> inline SpMat& operator+=(const SpOp<T1, spop_type>& X);
+ template<typename T1, typename spop_type> inline SpMat& operator-=(const SpOp<T1, spop_type>& X);
+ template<typename T1, typename spop_type> inline SpMat& operator*=(const SpOp<T1, spop_type>& X);
+ template<typename T1, typename spop_type> inline SpMat& operator%=(const SpOp<T1, spop_type>& X);
+ template<typename T1, typename spop_type> inline SpMat& operator/=(const SpOp<T1, spop_type>& X);
+
+ // delayed binary ops
+ template<typename T1, typename T2, typename spglue_type> inline SpMat(const SpGlue<T1, T2, spglue_type>& X);
+ template<typename T1, typename T2, typename spglue_type> inline SpMat& operator= (const SpGlue<T1, T2, spglue_type>& X);
+ template<typename T1, typename T2, typename spglue_type> inline SpMat& operator+=(const SpGlue<T1, T2, spglue_type>& X);
+ template<typename T1, typename T2, typename spglue_type> inline SpMat& operator-=(const SpGlue<T1, T2, spglue_type>& X);
+ template<typename T1, typename T2, typename spglue_type> inline SpMat& operator*=(const SpGlue<T1, T2, spglue_type>& X);
+ template<typename T1, typename T2, typename spglue_type> inline SpMat& operator%=(const SpGlue<T1, T2, spglue_type>& X);
+ template<typename T1, typename T2, typename spglue_type> inline SpMat& operator/=(const SpGlue<T1, T2, spglue_type>& X);
+
+ // delayed mixed-type unary ops
+ template<typename T1, typename spop_type> inline SpMat(const mtSpOp<eT, T1, spop_type>& X);
+ template<typename T1, typename spop_type> inline SpMat& operator= (const mtSpOp<eT, T1, spop_type>& X);
+ template<typename T1, typename spop_type> inline SpMat& operator+=(const mtSpOp<eT, T1, spop_type>& X);
+ template<typename T1, typename spop_type> inline SpMat& operator-=(const mtSpOp<eT, T1, spop_type>& X);
+ template<typename T1, typename spop_type> inline SpMat& operator*=(const mtSpOp<eT, T1, spop_type>& X);
+ template<typename T1, typename spop_type> inline SpMat& operator%=(const mtSpOp<eT, T1, spop_type>& X);
+ template<typename T1, typename spop_type> inline SpMat& operator/=(const mtSpOp<eT, T1, spop_type>& X);
+
+ // delayed mixed-type binary ops
+ template<typename T1, typename T2, typename spglue_type> inline SpMat(const mtSpGlue<eT, T1, T2, spglue_type>& X);
+ template<typename T1, typename T2, typename spglue_type> inline SpMat& operator= (const mtSpGlue<eT, T1, T2, spglue_type>& X);
+ template<typename T1, typename T2, typename spglue_type> inline SpMat& operator+=(const mtSpGlue<eT, T1, T2, spglue_type>& X);
+ template<typename T1, typename T2, typename spglue_type> inline SpMat& operator-=(const mtSpGlue<eT, T1, T2, spglue_type>& X);
+ template<typename T1, typename T2, typename spglue_type> inline SpMat& operator*=(const mtSpGlue<eT, T1, T2, spglue_type>& X);
+ template<typename T1, typename T2, typename spglue_type> inline SpMat& operator%=(const mtSpGlue<eT, T1, T2, spglue_type>& X);
+ template<typename T1, typename T2, typename spglue_type> inline SpMat& operator/=(const mtSpGlue<eT, T1, T2, spglue_type>& X);
+
+
+ arma_inline SpSubview_row<eT> row(const uword row_num);
+ arma_inline const SpSubview_row<eT> row(const uword row_num) const;
+
+ inline SpSubview_row<eT> operator()(const uword row_num, const span& col_span);
+ inline const SpSubview_row<eT> operator()(const uword row_num, const span& col_span) const;
+
+ arma_inline SpSubview_col<eT> col(const uword col_num);
+ arma_inline const SpSubview_col<eT> col(const uword col_num) const;
+
+ inline SpSubview_col<eT> operator()(const span& row_span, const uword col_num);
+ inline const SpSubview_col<eT> operator()(const span& row_span, const uword col_num) const;
+
+ arma_inline SpSubview<eT> rows(const uword in_row1, const uword in_row2);
+ arma_inline const SpSubview<eT> rows(const uword in_row1, const uword in_row2) const;
+
+ arma_inline SpSubview<eT> cols(const uword in_col1, const uword in_col2);
+ arma_inline const SpSubview<eT> cols(const uword in_col1, const uword in_col2) const;
+
+ arma_inline SpSubview<eT> submat(const uword in_row1, const uword in_col1, const uword in_row2, const uword in_col2);
+ arma_inline const SpSubview<eT> submat(const uword in_row1, const uword in_col1, const uword in_row2, const uword in_col2) const;
+
+ arma_inline SpSubview<eT> submat(const uword in_row1, const uword in_col1, const SizeMat& s);
+ arma_inline const SpSubview<eT> submat(const uword in_row1, const uword in_col1, const SizeMat& s) const;
+
+ inline SpSubview<eT> submat (const span& row_span, const span& col_span);
+ inline const SpSubview<eT> submat (const span& row_span, const span& col_span) const;
+
+ inline SpSubview<eT> operator()(const span& row_span, const span& col_span);
+ inline const SpSubview<eT> operator()(const span& row_span, const span& col_span) const;
+
+ arma_inline SpSubview<eT> operator()(const uword in_row1, const uword in_col1, const SizeMat& s);
+ arma_inline const SpSubview<eT> operator()(const uword in_row1, const uword in_col1, const SizeMat& s) const;
+
+
+ inline SpSubview<eT> head_rows(const uword N);
+ inline const SpSubview<eT> head_rows(const uword N) const;
+
+ inline SpSubview<eT> tail_rows(const uword N);
+ inline const SpSubview<eT> tail_rows(const uword N) const;
+
+ inline SpSubview<eT> head_cols(const uword N);
+ inline const SpSubview<eT> head_cols(const uword N) const;
+
+ inline SpSubview<eT> tail_cols(const uword N);
+ inline const SpSubview<eT> tail_cols(const uword N) const;
+
+
+ template<typename T1> arma_inline SpSubview_col_list<eT,T1> cols(const Base<uword,T1>& ci);
+ template<typename T1> arma_inline const SpSubview_col_list<eT,T1> cols(const Base<uword,T1>& ci) const;
+
+
+ inline spdiagview<eT> diag(const sword in_id = 0);
+ inline const spdiagview<eT> diag(const sword in_id = 0) const;
+
+
+ inline void swap_rows(const uword in_row1, const uword in_row2);
+ inline void swap_cols(const uword in_col1, const uword in_col2);
+
+ inline void shed_row(const uword row_num);
+ inline void shed_col(const uword col_num);
+
+ inline void shed_rows(const uword in_row1, const uword in_row2);
+ inline void shed_cols(const uword in_col1, const uword in_col2);
+
+
+ // access the i-th element; if there is nothing at element i, 0 is returned
+ arma_warn_unused arma_inline SpMat_MapMat_val<eT> operator[] (const uword i);
+ arma_warn_unused arma_inline eT operator[] (const uword i) const;
+
+ arma_warn_unused arma_inline SpMat_MapMat_val<eT> at (const uword i);
+ arma_warn_unused arma_inline eT at (const uword i) const;
+
+ arma_warn_unused arma_inline SpMat_MapMat_val<eT> operator() (const uword i);
+ arma_warn_unused arma_inline eT operator() (const uword i) const;
+
+ // access the element at the given row and column; if there is nothing at that position, 0 is returned
+ #if defined(__cpp_multidimensional_subscript)
+ arma_warn_unused arma_inline SpMat_MapMat_val<eT> operator[] (const uword in_row, const uword in_col);
+ arma_warn_unused arma_inline eT operator[] (const uword in_row, const uword in_col) const;
+ #endif
+
+ arma_warn_unused arma_inline SpMat_MapMat_val<eT> at (const uword in_row, const uword in_col);
+ arma_warn_unused arma_inline eT at (const uword in_row, const uword in_col) const;
+
+ arma_warn_unused arma_inline SpMat_MapMat_val<eT> operator() (const uword in_row, const uword in_col);
+ arma_warn_unused arma_inline eT operator() (const uword in_row, const uword in_col) const;
+
+
+ arma_warn_unused arma_inline bool is_empty() const;
+ arma_warn_unused arma_inline bool is_vec() const;
+ arma_warn_unused arma_inline bool is_rowvec() const;
+ arma_warn_unused arma_inline bool is_colvec() const;
+ arma_warn_unused arma_inline bool is_square() const;
+
+ arma_warn_unused inline bool is_symmetric() const;
+ arma_warn_unused inline bool is_symmetric(const typename get_pod_type<eT>::result tol) const;
+
+ arma_warn_unused inline bool is_hermitian() const;
+ arma_warn_unused inline bool is_hermitian(const typename get_pod_type<eT>::result tol) const;
+
+ arma_warn_unused inline bool internal_is_finite() const;
+ arma_warn_unused inline bool internal_has_inf() const;
+ arma_warn_unused inline bool internal_has_nan() const;
+ arma_warn_unused inline bool internal_has_nonfinite() const;
+
+ arma_warn_unused arma_inline bool in_range(const uword i) const;
+ arma_warn_unused arma_inline bool in_range(const span& x) const;
+
+ arma_warn_unused arma_inline bool in_range(const uword in_row, const uword in_col) const;
+ arma_warn_unused arma_inline bool in_range(const span& row_span, const uword in_col) const;
+ arma_warn_unused arma_inline bool in_range(const uword in_row, const span& col_span) const;
+ arma_warn_unused arma_inline bool in_range(const span& row_span, const span& col_span) const;
+
+ arma_warn_unused arma_inline bool in_range(const uword in_row, const uword in_col, const SizeMat& s) const;
+
+
+ template<typename eT2> inline SpMat& copy_size(const SpMat<eT2>& m);
+ template<typename eT2> inline SpMat& copy_size(const Mat<eT2>& m);
+
+ inline SpMat& set_size(const uword in_elem);
+ inline SpMat& set_size(const uword in_rows, const uword in_cols);
+ inline SpMat& set_size(const SizeMat& s);
+
+ inline SpMat& resize(const uword in_rows, const uword in_cols);
+ inline SpMat& resize(const SizeMat& s);
+
+ inline SpMat& reshape(const uword in_rows, const uword in_cols);
+ inline SpMat& reshape(const SizeMat& s);
+
+ inline void reshape_helper_generic(const uword in_rows, const uword in_cols); //! internal use only
+ inline void reshape_helper_intovec(); //! internal use only
+
+ template<typename functor> inline SpMat& for_each(functor F);
+ template<typename functor> inline const SpMat& for_each(functor F) const;
+
+ template<typename functor> inline SpMat& transform(functor F);
+
+ inline SpMat& replace(const eT old_val, const eT new_val);
+
+ inline SpMat& clean(const pod_type threshold);
+
+ inline SpMat& clamp(const eT min_val, const eT max_val);
+
+ inline SpMat& zeros();
+ inline SpMat& zeros(const uword in_elem);
+ inline SpMat& zeros(const uword in_rows, const uword in_cols);
+ inline SpMat& zeros(const SizeMat& s);
+
+ inline SpMat& eye();
+ inline SpMat& eye(const uword in_rows, const uword in_cols);
+ inline SpMat& eye(const SizeMat& s);
+
+ inline SpMat& speye();
+ inline SpMat& speye(const uword in_rows, const uword in_cols);
+ inline SpMat& speye(const SizeMat& s);
+
+ inline SpMat& sprandu(const uword in_rows, const uword in_cols, const double density);
+ inline SpMat& sprandu(const SizeMat& s, const double density);
+
+ inline SpMat& sprandn(const uword in_rows, const uword in_cols, const double density);
+ inline SpMat& sprandn(const SizeMat& s, const double density);
+
+ inline void reset();
+ inline void reset_cache();
+
+ //! don't use this unless you're writing internal Armadillo code
+ inline void reserve(const uword in_rows, const uword in_cols, const uword new_n_nonzero);
+
+ //! don't use this unless you're writing internal Armadillo code
+ inline SpMat(const arma_reserve_indicator&, const uword in_rows, const uword in_cols, const uword new_n_nonzero);
+
+ //! don't use this unless you're writing internal Armadillo code
+ template<typename eT2>
+ inline SpMat(const arma_layout_indicator&, const SpMat<eT2>& x);
+
+ template<typename T1> inline void set_real(const SpBase<pod_type,T1>& X);
+ template<typename T1> inline void set_imag(const SpBase<pod_type,T1>& X);
+
+
+ // saving and loading
+ // TODO: implement auto_detect for sparse matrices
+
+ arma_cold inline bool save(const std::string name, const file_type type = arma_binary) const;
+ arma_cold inline bool save(const csv_name& spec, const file_type type = csv_ascii) const;
+ arma_cold inline bool save( std::ostream& os, const file_type type = arma_binary) const;
+
+ arma_cold inline bool load(const std::string name, const file_type type = arma_binary);
+ arma_cold inline bool load(const csv_name& spec, const file_type type = csv_ascii);
+ arma_cold inline bool load( std::istream& is, const file_type type = arma_binary);
+
+ arma_deprecated inline bool quiet_save(const std::string name, const file_type type = arma_binary) const;
+ arma_deprecated inline bool quiet_save( std::ostream& os, const file_type type = arma_binary) const;
+
+ arma_deprecated inline bool quiet_load(const std::string name, const file_type type = arma_binary);
+ arma_deprecated inline bool quiet_load( std::istream& is, const file_type type = arma_binary);
+
+
+
+ // necessary forward declarations
+ class iterator_base;
+ class iterator;
+ class const_iterator;
+ class row_iterator;
+ class const_row_iterator;
+
+ // iterator_base provides basic operators but not how to compare or how to iterate
+ class iterator_base
+ {
+ public:
+
+ inline iterator_base();
+ inline iterator_base(const SpMat& in_M);
+ inline iterator_base(const SpMat& in_M, const uword col, const uword pos);
+
+ arma_inline eT operator*() const;
+
+ // don't hold location internally; call "dummy" methods to get that information
+ arma_inline uword row() const { return M->row_indices[internal_pos]; }
+ arma_inline uword col() const { return internal_col; }
+ arma_inline uword pos() const { return internal_pos; }
+
+ arma_aligned const SpMat* M;
+ arma_aligned uword internal_col;
+ arma_aligned uword internal_pos;
+
+ typedef std::bidirectional_iterator_tag iterator_category;
+ typedef eT value_type;
+ typedef std::ptrdiff_t difference_type; // TODO: not certain on this one
+ typedef const eT* pointer;
+ typedef const eT& reference;
+ };
+
+ class const_iterator : public iterator_base
+ {
+ public:
+
+ inline const_iterator();
+
+ inline const_iterator(const SpMat& in_M, uword initial_pos = 0); // assumes initial_pos is valid
+ inline const_iterator(const SpMat& in_M, uword in_row, uword in_col); // iterator will be at the first nonzero value after the given position (using forward columnwise traversal)
+ inline const_iterator(const SpMat& in_M, uword in_row, uword in_col, uword in_pos); // if the exact position of the iterator is known; in_row is a dummy argument
+
+ inline const_iterator(const const_iterator& other);
+ inline const_iterator& operator= (const const_iterator& other) = default;
+
+ arma_hot inline const_iterator& operator++();
+ arma_warn_unused inline const_iterator operator++(int);
+
+ arma_hot inline const_iterator& operator--();
+ arma_warn_unused inline const_iterator operator--(int);
+
+ arma_hot inline bool operator==(const const_iterator& rhs) const;
+ arma_hot inline bool operator!=(const const_iterator& rhs) const;
+
+ arma_hot inline bool operator==(const typename SpSubview<eT>::const_iterator& rhs) const;
+ arma_hot inline bool operator!=(const typename SpSubview<eT>::const_iterator& rhs) const;
+
+ arma_hot inline bool operator==(const const_row_iterator& rhs) const;
+ arma_hot inline bool operator!=(const const_row_iterator& rhs) const;
+
+ arma_hot inline bool operator==(const typename SpSubview<eT>::const_row_iterator& rhs) const;
+ arma_hot inline bool operator!=(const typename SpSubview<eT>::const_row_iterator& rhs) const;
+ };
+
+ /**
+ * So that we can iterate over nonzero values, we need an iterator implementation.
+ * This can't be as simple as for Mat, which is just a pointer to an eT.
+ * If a value is set to 0 using this iterator, the iterator is no longer valid!
+ */
+ class iterator : public const_iterator
+ {
+ public:
+
+ inline iterator() : const_iterator() { }
+
+ inline iterator(SpMat& in_M, uword initial_pos = 0) : const_iterator(in_M, initial_pos) { }
+ inline iterator(SpMat& in_M, uword in_row, uword in_col) : const_iterator(in_M, in_row, in_col) { }
+ inline iterator(SpMat& in_M, uword in_row, uword in_col, uword in_pos) : const_iterator(in_M, in_row, in_col, in_pos) { }
+
+ inline iterator (const iterator& other) : const_iterator(other) { }
+ inline iterator& operator=(const iterator& other) = default;
+
+ arma_hot inline SpValProxy< SpMat<eT> > operator*();
+
+ // overloads needed for return type correctness
+ arma_hot inline iterator& operator++();
+ arma_warn_unused inline iterator operator++(int);
+
+ arma_hot inline iterator& operator--();
+ arma_warn_unused inline iterator operator--(int);
+
+ // this has a different value_type than iterator_base
+ typedef SpValProxy< SpMat<eT> > value_type;
+ typedef const SpValProxy< SpMat<eT> >* pointer;
+ typedef const SpValProxy< SpMat<eT> >& reference;
+ };
+
+ class const_row_iterator : public iterator_base
+ {
+ public:
+
+ inline const_row_iterator();
+ inline const_row_iterator(const SpMat& in_M, uword initial_pos = 0);
+ inline const_row_iterator(const SpMat& in_M, uword in_row, uword in_col);
+
+ inline const_row_iterator(const const_row_iterator& other);
+ inline const_row_iterator& operator= (const const_row_iterator& other) = default;
+
+ arma_hot inline const_row_iterator& operator++();
+ arma_warn_unused inline const_row_iterator operator++(int);
+
+ arma_hot inline const_row_iterator& operator--();
+ arma_warn_unused inline const_row_iterator operator--(int);
+
+ uword internal_row; // hold row internally
+ uword actual_pos; // hold the true position we are at in the matrix, as column-major indexing
+
+ arma_inline eT operator*() const { return iterator_base::M->values[actual_pos]; }
+
+ arma_inline uword row() const { return internal_row; }
+
+ arma_hot inline bool operator==(const const_iterator& rhs) const;
+ arma_hot inline bool operator!=(const const_iterator& rhs) const;
+
+ arma_hot inline bool operator==(const typename SpSubview<eT>::const_iterator& rhs) const;
+ arma_hot inline bool operator!=(const typename SpSubview<eT>::const_iterator& rhs) const;
+
+ arma_hot inline bool operator==(const const_row_iterator& rhs) const;
+ arma_hot inline bool operator!=(const const_row_iterator& rhs) const;
+
+ arma_hot inline bool operator==(const typename SpSubview<eT>::const_row_iterator& rhs) const;
+ arma_hot inline bool operator!=(const typename SpSubview<eT>::const_row_iterator& rhs) const;
+ };
+
+ class row_iterator : public const_row_iterator
+ {
+ public:
+
+ inline row_iterator() : const_row_iterator() {}
+
+ inline row_iterator(SpMat& in_M, uword initial_pos = 0) : const_row_iterator(in_M, initial_pos) { }
+ inline row_iterator(SpMat& in_M, uword in_row, uword in_col) : const_row_iterator(in_M, in_row, in_col) { }
+
+ inline row_iterator(const row_iterator& other) : const_row_iterator(other) { }
+ inline row_iterator& operator= (const row_iterator& other) = default;
+
+ arma_hot inline SpValProxy< SpMat<eT> > operator*();
+
+ // overloads required for return type correctness
+ arma_hot inline row_iterator& operator++();
+ arma_warn_unused inline row_iterator operator++(int);
+
+ arma_hot inline row_iterator& operator--();
+ arma_warn_unused inline row_iterator operator--(int);
+
+ // this has a different value_type than iterator_base
+ typedef SpValProxy< SpMat<eT> > value_type;
+ typedef const SpValProxy< SpMat<eT> >* pointer;
+ typedef const SpValProxy< SpMat<eT> >& reference;
+ };
+
+
+ typedef iterator col_iterator;
+ typedef const_iterator const_col_iterator;
+
+ typedef iterator row_col_iterator;
+ typedef const_iterator const_row_col_iterator;
+
+
+ inline iterator begin();
+ inline const_iterator begin() const;
+ inline const_iterator cbegin() const;
+
+ inline iterator end();
+ inline const_iterator end() const;
+ inline const_iterator cend() const;
+
+ inline col_iterator begin_col(const uword col_num);
+ inline const_col_iterator begin_col(const uword col_num) const;
+
+ inline col_iterator begin_col_no_sync(const uword col_num);
+ inline const_col_iterator begin_col_no_sync(const uword col_num) const;
+
+ inline col_iterator end_col(const uword col_num);
+ inline const_col_iterator end_col(const uword col_num) const;
+
+ inline col_iterator end_col_no_sync(const uword col_num);
+ inline const_col_iterator end_col_no_sync(const uword col_num) const;
+
+ inline row_iterator begin_row(const uword row_num = 0);
+ inline const_row_iterator begin_row(const uword row_num = 0) const;
+
+ inline row_iterator end_row();
+ inline const_row_iterator end_row() const;
+
+ inline row_iterator end_row(const uword row_num);
+ inline const_row_iterator end_row(const uword row_num) const;
+
+ inline row_col_iterator begin_row_col();
+ inline const_row_col_iterator begin_row_col() const;
+
+ inline row_col_iterator end_row_col();
+ inline const_row_col_iterator end_row_col() const;
+
+
+ inline void clear();
+ inline bool empty() const;
+ inline uword size() const;
+
+ arma_warn_unused arma_inline SpMat_MapMat_val<eT> front();
+ arma_warn_unused arma_inline eT front() const;
+
+ arma_warn_unused arma_inline SpMat_MapMat_val<eT> back();
+ arma_warn_unused arma_inline eT back() const;
+
+ // Resize memory.
+ // If the new size is larger, the column pointers and new memory still need to be correctly set.
+ // If the new size is smaller, the first new_n_nonzero elements will be copied.
+ // n_nonzero is updated.
+ inline void mem_resize(const uword new_n_nonzero);
+
+ //! synchronise CSC from cache
+ inline void sync() const;
+
+ //! don't use this unless you're writing internal Armadillo code
+ inline void remove_zeros();
+
+ //! don't use this unless you're writing internal Armadillo code
+ inline void steal_mem(SpMat& X);
+
+ //! don't use this unless you're writing internal Armadillo code
+ inline void steal_mem_simple(SpMat& X);
+
+ //! don't use this unless you're writing internal Armadillo code
+ template< typename T1, typename Functor> inline void init_xform (const SpBase<eT, T1>& x, const Functor& func);
+ template<typename eT2, typename T1, typename Functor> inline void init_xform_mt(const SpBase<eT2,T1>& x, const Functor& func);
+
+ //! don't use this unless you're writing internal Armadillo code
+ arma_inline bool is_alias(const SpMat<eT>& X) const;
+
+
+ protected:
+
+ inline void init(uword in_rows, uword in_cols, const uword new_n_nonzero = 0);
+ arma_cold inline void init_cold(uword in_rows, uword in_cols, const uword new_n_nonzero = 0);
+
+ inline void init(const std::string& text);
+ inline void init(const SpMat<eT>& x);
+ inline void init(const MapMat<eT>& x);
+
+ inline void init_simple(const SpMat<eT>& x);
+
+ inline void init_batch_std(const Mat<uword>& locations, const Mat<eT>& values, const bool sort_locations);
+ inline void init_batch_add(const Mat<uword>& locations, const Mat<eT>& values, const bool sort_locations);
+
+ inline SpMat(const arma_vec_indicator&, const uword in_vec_state);
+ inline SpMat(const arma_vec_indicator&, const uword in_n_rows, const uword in_n_cols, const uword in_vec_state);
+
+
+ private:
+
+ arma_warn_unused arma_hot inline const eT* find_value_csc(const uword in_row, const uword in_col) const;
+
+ arma_warn_unused arma_hot inline eT get_value(const uword i ) const;
+ arma_warn_unused arma_hot inline eT get_value(const uword in_row, const uword in_col) const;
+
+ arma_warn_unused arma_hot inline eT get_value_csc(const uword i ) const;
+ arma_warn_unused arma_hot inline eT get_value_csc(const uword in_row, const uword in_col) const;
+
+ arma_warn_unused arma_hot inline bool try_set_value_csc(const uword in_row, const uword in_col, const eT in_val);
+ arma_warn_unused arma_hot inline bool try_add_value_csc(const uword in_row, const uword in_col, const eT in_val);
+ arma_warn_unused arma_hot inline bool try_sub_value_csc(const uword in_row, const uword in_col, const eT in_val);
+ arma_warn_unused arma_hot inline bool try_mul_value_csc(const uword in_row, const uword in_col, const eT in_val);
+ arma_warn_unused arma_hot inline bool try_div_value_csc(const uword in_row, const uword in_col, const eT in_val);
+
+ arma_warn_unused inline eT& insert_element(const uword in_row, const uword in_col, const eT in_val = eT(0));
+ inline void delete_element(const uword in_row, const uword in_col);
+
+
+ // cache related
+
+ arma_aligned mutable MapMat<eT> cache;
+ arma_aligned mutable state_type sync_state;
+ // 0: cache needs to be updated from CSC (ie. CSC has more recent data)
+ // 1: CSC needs to be updated from cache (ie. cache has more recent data)
+ // 2: no update required (ie. CSC and cache contain the same data)
+
+ #if (!defined(ARMA_DONT_USE_STD_MUTEX))
+ arma_aligned mutable std::mutex cache_mutex;
+ #endif
+
+ arma_inline void invalidate_cache() const;
+ arma_inline void invalidate_csc() const;
+
+ inline void sync_cache() const;
+ inline void sync_cache_simple() const;
+ inline void sync_csc() const;
+ inline void sync_csc_simple() const;
+
+
+ friend class SpValProxy< SpMat<eT> >; // allow SpValProxy to call insert_element() and delete_element()
+ friend class SpSubview<eT>;
+ friend class SpRow<eT>;
+ friend class SpCol<eT>;
+ friend class SpMat_MapMat_val<eT>;
+ friend class SpSubview_MapMat_val<eT>;
+ friend class spdiagview<eT>;
+
+ template<typename xT1, typename xT2> friend class SpSubview_col_list;
+
+ public:
+
+ #if defined(ARMA_EXTRA_SPMAT_PROTO)
+ #include ARMA_INCFILE_WRAP(ARMA_EXTRA_SPMAT_PROTO)
+ #endif
+ };
+
+
+
+class SpMat_aux
+ {
+ public:
+
+ template<typename eT, typename T1> inline static void set_real(SpMat<eT>& out, const SpBase<eT,T1>& X);
+ template<typename T, typename T1> inline static void set_real(SpMat< std::complex<T> >& out, const SpBase< T,T1>& X);
+
+ template<typename eT, typename T1> inline static void set_imag(SpMat<eT>& out, const SpBase<eT,T1>& X);
+ template<typename T, typename T1> inline static void set_imag(SpMat< std::complex<T> >& out, const SpBase< T,T1>& X);
+ };
+
+
+
+#define ARMA_HAS_SPMAT
+
+
+
+//! @}