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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.
+// ------------------------------------------------------------------------
+
+
+using std::cout;
+using std::cerr;
+using std::endl;
+using std::ios;
+using std::size_t;
+
+template<typename elem_type, typename derived> struct Base;
+template<typename elem_type, typename derived> struct BaseCube;
+
+template<typename eT> class Mat;
+template<typename eT> class Col;
+template<typename eT> class Row;
+template<typename eT> class Cube;
+template<typename eT> class xvec_htrans;
+template<typename oT> class field;
+
+template<typename eT, bool do_conj> class xtrans_mat;
+
+
+template<typename eT> class subview;
+template<typename eT> class subview_col;
+template<typename eT> class subview_cols;
+template<typename eT> class subview_row;
+template<typename eT> class subview_row_strans;
+template<typename eT> class subview_row_htrans;
+template<typename eT> class subview_cube;
+template<typename oT> class subview_field;
+
+template<typename eT> class SpValProxy;
+template<typename eT> class SpMat;
+template<typename eT> class SpCol;
+template<typename eT> class SpRow;
+template<typename eT> class SpSubview;
+template<typename eT> class SpSubview_col;
+template<typename eT> class SpSubview_row;
+
+template<typename eT> class diagview;
+template<typename eT> class spdiagview;
+
+template<typename eT> class MapMat;
+template<typename eT> class MapMat_val;
+template<typename eT> class SpMat_MapMat_val;
+template<typename eT> class SpSubview_MapMat_val;
+
+template<typename eT, typename T1> class subview_elem1;
+template<typename eT, typename T1, typename T2> class subview_elem2;
+
+template<typename parent, unsigned int mode> class subview_each1;
+template<typename parent, unsigned int mode, typename TB> class subview_each2;
+
+template<typename eT> class subview_cube_each1;
+template<typename eT, typename TB> class subview_cube_each2;
+template<typename eT, typename T1> class subview_cube_slices;
+
+template<typename eT, typename T1> class SpSubview_col_list;
+
+
+class SizeMat;
+class SizeCube;
+
+class arma_empty_class {};
+
+class diskio;
+
+class op_strans;
+class op_htrans;
+class op_htrans2;
+class op_inv_gen_default;
+class op_inv_spd_default;
+class op_inv_gen_full;
+class op_inv_spd_full;
+class op_diagmat;
+class op_trimat;
+class op_vectorise_row;
+class op_vectorise_col;
+
+class op_row_as_mat;
+class op_col_as_mat;
+
+class glue_times;
+class glue_times_diag;
+
+class glue_rel_lt;
+class glue_rel_gt;
+class glue_rel_lteq;
+class glue_rel_gteq;
+class glue_rel_eq;
+class glue_rel_noteq;
+class glue_rel_and;
+class glue_rel_or;
+
+class op_rel_lt_pre;
+class op_rel_lt_post;
+class op_rel_gt_pre;
+class op_rel_gt_post;
+class op_rel_lteq_pre;
+class op_rel_lteq_post;
+class op_rel_gteq_pre;
+class op_rel_gteq_post;
+class op_rel_eq;
+class op_rel_noteq;
+
+class gen_eye;
+class gen_ones;
+class gen_zeros;
+
+
+
+class spop_strans;
+class spop_htrans;
+class spop_vectorise_row;
+class spop_vectorise_col;
+
+class spglue_plus;
+class spglue_minus;
+class spglue_schur;
+class spglue_times;
+class spglue_max;
+class spglue_min;
+class spglue_rel_lt;
+class spglue_rel_gt;
+
+
+
+class op_internal_equ;
+class op_internal_plus;
+class op_internal_minus;
+class op_internal_schur;
+class op_internal_div;
+
+
+
+struct traits_op_default
+ {
+ template<typename T1>
+ struct traits
+ {
+ static constexpr bool is_row = false;
+ static constexpr bool is_col = false;
+ static constexpr bool is_xvec = false;
+ };
+ };
+
+
+struct traits_op_xvec
+ {
+ template<typename T1>
+ struct traits
+ {
+ static constexpr bool is_row = false;
+ static constexpr bool is_col = false;
+ static constexpr bool is_xvec = true;
+ };
+ };
+
+
+struct traits_op_col
+ {
+ template<typename T1>
+ struct traits
+ {
+ static constexpr bool is_row = false;
+ static constexpr bool is_col = true;
+ static constexpr bool is_xvec = false;
+ };
+ };
+
+
+struct traits_op_row
+ {
+ template<typename T1>
+ struct traits
+ {
+ static constexpr bool is_row = true;
+ static constexpr bool is_col = false;
+ static constexpr bool is_xvec = false;
+ };
+ };
+
+
+struct traits_op_passthru
+ {
+ template<typename T1>
+ struct traits
+ {
+ static constexpr bool is_row = T1::is_row;
+ static constexpr bool is_col = T1::is_col;
+ static constexpr bool is_xvec = T1::is_xvec;
+ };
+ };
+
+
+struct traits_glue_default
+ {
+ template<typename T1, typename T2>
+ struct traits
+ {
+ static constexpr bool is_row = false;
+ static constexpr bool is_col = false;
+ static constexpr bool is_xvec = false;
+ };
+ };
+
+
+struct traits_glue_or
+ {
+ template<typename T1, typename T2>
+ struct traits
+ {
+ static constexpr bool is_row = (T1::is_row || T2::is_row );
+ static constexpr bool is_col = (T1::is_col || T2::is_col );
+ static constexpr bool is_xvec = (T1::is_xvec || T2::is_xvec);
+ };
+ };
+
+
+
+template<const bool, const bool, const bool, const bool> class gemm;
+template<const bool, const bool, const bool> class gemv;
+
+
+template< typename eT, typename gen_type> class Gen;
+
+template< typename T1, typename op_type> class Op;
+template< typename T1, typename eop_type> class eOp;
+template< typename T1, typename op_type> class SpToDOp;
+template< typename T1, typename op_type> class CubeToMatOp;
+template<typename out_eT, typename T1, typename op_type> class mtOp;
+
+template< typename T1, typename T2, typename glue_type> class Glue;
+template< typename T1, typename T2, typename eglue_type> class eGlue;
+template< typename T1, typename T2, typename glue_type> class SpToDGlue;
+template<typename out_eT, typename T1, typename T2, typename glue_type> class mtGlue;
+
+
+
+template< typename eT, typename gen_type> class GenCube;
+
+template< typename T1, typename op_type> class OpCube;
+template< typename T1, typename eop_type> class eOpCube;
+template<typename out_eT, typename T1, typename op_type> class mtOpCube;
+
+template< typename T1, typename T2, typename glue_type> class GlueCube;
+template< typename T1, typename T2, typename eglue_type> class eGlueCube;
+template<typename out_eT, typename T1, typename T2, typename glue_type> class mtGlueCube;
+
+
+template<typename T1> struct Proxy;
+template<typename T1> struct ProxyCube;
+
+template<typename T1> class diagmat_proxy;
+
+template<typename T1> struct unwrap;
+template<typename T1> struct quasi_unwrap;
+template<typename T1> struct unwrap_cube;
+template<typename T1> struct unwrap_spmat;
+
+
+
+
+struct state_type
+ {
+ #if defined(ARMA_USE_OPENMP)
+ int state;
+ #elif (!defined(ARMA_DONT_USE_STD_MUTEX))
+ std::atomic<int> state;
+ #else
+ int state;
+ #endif
+
+ arma_inline state_type() : state(int(0)) {}
+
+ // openmp: "omp atomic" does an implicit flush on the affected variable
+ // C++11: std::atomic<>::load() and std::atomic<>::store() use std::memory_order_seq_cst by default, which has an implied fence
+
+ arma_inline
+ operator int () const
+ {
+ int out;
+
+ #if defined(ARMA_USE_OPENMP)
+ #pragma omp atomic read
+ out = state;
+ #elif (!defined(ARMA_DONT_USE_STD_MUTEX))
+ out = state.load();
+ #else
+ out = state;
+ #endif
+
+ return out;
+ }
+
+ arma_inline
+ void
+ operator= (const int in_state)
+ {
+ #if defined(ARMA_USE_OPENMP)
+ #pragma omp atomic write
+ state = in_state;
+ #elif (!defined(ARMA_DONT_USE_STD_MUTEX))
+ state.store(in_state);
+ #else
+ state = in_state;
+ #endif
+ }
+ };
+
+
+template< typename T1, typename spop_type> class SpOp;
+template<typename out_eT, typename T1, typename spop_type> class mtSpOp;
+
+template< typename T1, typename T2, typename spglue_type> class SpGlue;
+template<typename out_eT, typename T1, typename T2, typename spglue_type> class mtSpGlue;
+
+
+template<typename T1> struct SpProxy;
+
+
+
+struct arma_vec_indicator {};
+struct arma_fixed_indicator {};
+struct arma_reserve_indicator {};
+struct arma_layout_indicator {};
+
+template<bool do_zeros> struct arma_initmode_indicator {};
+
+struct arma_zeros_indicator : public arma_initmode_indicator<true > {};
+struct arma_nozeros_indicator : public arma_initmode_indicator<false> {};
+
+
+//! \addtogroup injector
+//! @{
+
+template<typename Dummy = int> struct injector_end_of_row {};
+
+// DEPRECATED: DO NOT USE IN NEW CODE
+static const injector_end_of_row<> endr = injector_end_of_row<>();
+//!< endr indicates "end of row" when using the << operator;
+//!< similar conceptual meaning to std::endl
+
+//! @}
+
+
+
+//! \addtogroup diskio
+//! @{
+
+
+enum struct file_type : unsigned int
+ {
+ file_type_unknown,
+ auto_detect, //!< attempt to automatically detect the file type
+ raw_ascii, //!< raw text (ASCII), without a header
+ arma_ascii, //!< Armadillo text format, with a header specifying matrix type and size
+ csv_ascii, //!< comma separated values (CSV), without a header
+ raw_binary, //!< raw binary format (machine dependent), without a header
+ arma_binary, //!< Armadillo binary format (machine dependent), with a header specifying matrix type and size
+ pgm_binary, //!< Portable Grey Map (greyscale image)
+ ppm_binary, //!< Portable Pixel Map (colour image), used by the field and cube classes
+ hdf5_binary, //!< HDF5: open binary format, not specific to Armadillo, which can store arbitrary data
+ hdf5_binary_trans, //!< [NOTE: DO NOT USE - deprecated] as per hdf5_binary, but save/load the data with columns transposed to rows
+ coord_ascii, //!< simple co-ordinate format for sparse matrices (indices start at zero)
+ ssv_ascii, //!< similar to csv_ascii; uses semicolon (;) instead of comma (,) as the separator
+ };
+
+
+static constexpr file_type file_type_unknown = file_type::file_type_unknown;
+static constexpr file_type auto_detect = file_type::auto_detect;
+static constexpr file_type raw_ascii = file_type::raw_ascii;
+static constexpr file_type arma_ascii = file_type::arma_ascii;
+static constexpr file_type csv_ascii = file_type::csv_ascii;
+static constexpr file_type raw_binary = file_type::raw_binary;
+static constexpr file_type arma_binary = file_type::arma_binary;
+static constexpr file_type pgm_binary = file_type::pgm_binary;
+static constexpr file_type ppm_binary = file_type::ppm_binary;
+static constexpr file_type hdf5_binary = file_type::hdf5_binary;
+static constexpr file_type hdf5_binary_trans = file_type::hdf5_binary_trans;
+static constexpr file_type coord_ascii = file_type::coord_ascii;
+static constexpr file_type ssv_ascii = file_type::ssv_ascii;
+
+
+struct hdf5_name;
+struct csv_name;
+
+
+//! @}
+
+
+
+//! \addtogroup fn_spsolve
+//! @{
+
+
+struct spsolve_opts_base
+ {
+ const unsigned int id;
+
+ inline spsolve_opts_base(const unsigned int in_id) : id(in_id) {}
+ };
+
+
+struct spsolve_opts_none : public spsolve_opts_base
+ {
+ inline spsolve_opts_none() : spsolve_opts_base(0) {}
+ };
+
+
+struct superlu_opts : public spsolve_opts_base
+ {
+ typedef enum {NATURAL, MMD_ATA, MMD_AT_PLUS_A, COLAMD} permutation_type;
+
+ typedef enum {REF_NONE, REF_SINGLE, REF_DOUBLE, REF_EXTRA} refine_type;
+
+ bool allow_ugly;
+ bool equilibrate;
+ bool symmetric;
+ double pivot_thresh;
+ permutation_type permutation;
+ refine_type refine;
+
+ inline superlu_opts()
+ : spsolve_opts_base(1)
+ {
+ allow_ugly = false;
+ equilibrate = false;
+ symmetric = false;
+ pivot_thresh = 1.0;
+ permutation = COLAMD;
+ refine = REF_NONE;
+ }
+ };
+
+
+//! @}
+
+
+
+//! \ingroup fn_eigs_sym fs_eigs_gen
+//! @{
+
+
+struct eigs_opts
+ {
+ double tol; // tolerance
+ unsigned int maxiter; // max iterations
+ unsigned int subdim; // subspace dimension
+
+ inline eigs_opts()
+ {
+ tol = 0.0;
+ maxiter = 1000;
+ subdim = 0;
+ }
+ };
+
+
+//! @}