mirror of https://github.com/AxioDL/metaforce.git
407 lines
19 KiB
C
407 lines
19 KiB
C
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/* -*- c++ -*- (enables emacs c++ mode) */
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/*===========================================================================
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Copyright (C) 2002-2017 Yves Renard
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This file is a part of GetFEM++
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GetFEM++ is free software; you can redistribute it and/or modify it
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under the terms of the GNU Lesser General Public License as published
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by the Free Software Foundation; either version 3 of the License, or
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(at your option) any later version along with the GCC Runtime Library
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Exception either version 3.1 or (at your option) any later version.
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This program is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License and GCC Runtime Library Exception for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program; if not, write to the Free Software Foundation,
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Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA.
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As a special exception, you may use this file as it is a part of a free
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software library without restriction. Specifically, if other files
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instantiate templates or use macros or inline functions from this file,
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or you compile this file and link it with other files to produce an
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executable, this file does not by itself cause the resulting executable
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to be covered by the GNU Lesser General Public License. This exception
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does not however invalidate any other reasons why the executable file
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might be covered by the GNU Lesser General Public License.
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===========================================================================*/
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/**@file gmm_sub_matrix.h
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@author Yves Renard <Yves.Renard@insa-lyon.fr>
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@date October 13, 2002.
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@brief Generic sub-matrices.
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*/
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#ifndef GMM_SUB_MATRIX_H__
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#define GMM_SUB_MATRIX_H__
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#include "gmm_sub_vector.h"
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namespace gmm {
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/* ********************************************************************* */
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/* sub row matrices type */
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/* ********************************************************************* */
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template <typename PT, typename SUBI1, typename SUBI2>
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struct gen_sub_row_matrix {
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typedef gen_sub_row_matrix<PT, SUBI1, SUBI2> this_type;
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typedef typename std::iterator_traits<PT>::value_type M;
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typedef M * CPT;
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typedef typename std::iterator_traits<PT>::reference ref_M;
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typedef typename select_ref<typename linalg_traits<M>
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::const_row_iterator, typename linalg_traits<M>::row_iterator,
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PT>::ref_type iterator;
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typedef typename linalg_traits<this_type>::reference reference;
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typedef typename linalg_traits<this_type>::porigin_type porigin_type;
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SUBI1 si1;
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SUBI2 si2;
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iterator begin_;
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porigin_type origin;
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reference operator()(size_type i, size_type j) const
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{ return linalg_traits<M>::access(begin_ + si1.index(i), si2.index(j)); }
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size_type nrows(void) const { return si1.size(); }
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size_type ncols(void) const { return si2.size(); }
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gen_sub_row_matrix(ref_M m, const SUBI1 &s1, const SUBI2 &s2)
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: si1(s1), si2(s2), begin_(mat_row_begin(m)),
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origin(linalg_origin(m)) {}
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gen_sub_row_matrix() {}
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gen_sub_row_matrix(const gen_sub_row_matrix<CPT, SUBI1, SUBI2> &cr) :
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si1(cr.si1), si2(cr.si2), begin_(cr.begin_),origin(cr.origin) {}
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};
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template <typename PT, typename SUBI1, typename SUBI2>
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struct gen_sub_row_matrix_iterator {
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typedef gen_sub_row_matrix<PT, SUBI1, SUBI2> this_type;
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typedef typename modifiable_pointer<PT>::pointer MPT;
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typedef typename std::iterator_traits<PT>::value_type M;
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typedef typename select_ref<typename linalg_traits<M>
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::const_row_iterator, typename linalg_traits<M>::row_iterator,
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PT>::ref_type ITER;
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typedef ITER value_type;
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typedef ITER *pointer;
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typedef ITER &reference;
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typedef ptrdiff_t difference_type;
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typedef size_t size_type;
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typedef std::random_access_iterator_tag iterator_category;
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typedef gen_sub_row_matrix_iterator<PT, SUBI1, SUBI2> iterator;
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ITER it;
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SUBI1 si1;
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SUBI2 si2;
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size_type ii;
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iterator operator ++(int) { iterator tmp = *this; ii++; return tmp; }
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iterator operator --(int) { iterator tmp = *this; ii--; return tmp; }
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iterator &operator ++() { ii++; return *this; }
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iterator &operator --() { ii--; return *this; }
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iterator &operator +=(difference_type i) { ii += i; return *this; }
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iterator &operator -=(difference_type i) { ii -= i; return *this; }
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iterator operator +(difference_type i) const
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{ iterator itt = *this; return (itt += i); }
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iterator operator -(difference_type i) const
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{ iterator itt = *this; return (itt -= i); }
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difference_type operator -(const iterator &i) const { return ii - i.ii; }
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ITER operator *() const { return it + si1.index(ii); }
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ITER operator [](int i) { return it + si1.index(ii+i); }
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bool operator ==(const iterator &i) const { return (ii == i.ii); }
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bool operator !=(const iterator &i) const { return !(i == *this); }
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bool operator < (const iterator &i) const { return (ii < i.ii); }
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gen_sub_row_matrix_iterator(void) {}
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gen_sub_row_matrix_iterator(const
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gen_sub_row_matrix_iterator<MPT, SUBI1, SUBI2> &itm)
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: it(itm.it), si1(itm.si1), si2(itm.si2), ii(itm.ii) {}
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gen_sub_row_matrix_iterator(const ITER &iter, const SUBI1 &s1,
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const SUBI2 &s2, size_type i)
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: it(iter), si1(s1), si2(s2), ii(i) { }
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};
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template <typename PT, typename SUBI1, typename SUBI2>
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struct linalg_traits<gen_sub_row_matrix<PT, SUBI1, SUBI2> > {
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typedef gen_sub_row_matrix<PT, SUBI1, SUBI2> this_type;
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typedef typename std::iterator_traits<PT>::value_type M;
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typedef typename which_reference<PT>::is_reference is_reference;
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typedef abstract_matrix linalg_type;
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typedef typename linalg_traits<M>::origin_type origin_type;
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typedef typename select_ref<const origin_type *, origin_type *,
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PT>::ref_type porigin_type;
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typedef typename linalg_traits<M>::value_type value_type;
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typedef typename select_ref<value_type,
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typename linalg_traits<M>::reference, PT>::ref_type reference;
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typedef abstract_null_type sub_col_type;
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typedef abstract_null_type col_iterator;
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typedef abstract_null_type const_sub_col_type;
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typedef abstract_null_type const_col_iterator;
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typedef typename sub_vector_type<const typename org_type<typename
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linalg_traits<M>::const_sub_row_type>::t *, SUBI2>::vector_type
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const_sub_row_type;
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typedef typename select_ref<abstract_null_type,
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typename sub_vector_type<typename org_type<typename linalg_traits<M>::sub_row_type>::t *,
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SUBI2>::vector_type, PT>::ref_type sub_row_type;
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typedef gen_sub_row_matrix_iterator<typename const_pointer<PT>::pointer,
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SUBI1, SUBI2> const_row_iterator;
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typedef typename select_ref<abstract_null_type,
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gen_sub_row_matrix_iterator<PT, SUBI1, SUBI2>, PT>::ref_type
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row_iterator;
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typedef typename linalg_traits<const_sub_row_type>::storage_type
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storage_type;
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typedef row_major sub_orientation;
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typedef linalg_true index_sorted;
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static size_type nrows(const this_type &m) { return m.nrows(); }
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static size_type ncols(const this_type &m) { return m.ncols(); }
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static const_sub_row_type row(const const_row_iterator &it)
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{ return const_sub_row_type(linalg_traits<M>::row(*it), it.si2); }
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static sub_row_type row(const row_iterator &it)
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{ return sub_row_type(linalg_traits<M>::row(*it), it.si2); }
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static const_row_iterator row_begin(const this_type &m)
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{ return const_row_iterator(m.begin_, m.si1, m.si2, 0); }
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static row_iterator row_begin(this_type &m)
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{ return row_iterator(m.begin_, m.si1, m.si2, 0); }
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static const_row_iterator row_end(const this_type &m)
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{ return const_row_iterator(m.begin_, m.si1, m.si2, m.nrows()); }
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static row_iterator row_end(this_type &m)
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{ return row_iterator(m.begin_, m.si1, m.si2, m.nrows()); }
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static origin_type* origin(this_type &v) { return v.origin; }
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static const origin_type* origin(const this_type &v) { return v.origin; }
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static void do_clear(this_type &m) {
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row_iterator it = mat_row_begin(m), ite = mat_row_end(m);
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for (; it != ite; ++it) clear(row(it));
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}
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static value_type access(const const_row_iterator &itrow, size_type i)
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{ return linalg_traits<M>::access(*itrow, itrow.si2.index(i)); }
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static reference access(const row_iterator &itrow, size_type i)
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{ return linalg_traits<M>::access(*itrow, itrow.si2.index(i)); }
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};
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template <typename PT, typename SUBI1, typename SUBI2>
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std::ostream &operator <<(std::ostream &o,
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const gen_sub_row_matrix<PT, SUBI1, SUBI2>& m)
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{ gmm::write(o,m); return o; }
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/* ********************************************************************* */
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/* sub column matrices type */
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/* ********************************************************************* */
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template <typename PT, typename SUBI1, typename SUBI2>
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struct gen_sub_col_matrix {
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typedef gen_sub_col_matrix<PT, SUBI1, SUBI2> this_type;
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typedef typename std::iterator_traits<PT>::value_type M;
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typedef M * CPT;
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typedef typename std::iterator_traits<PT>::reference ref_M;
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typedef typename select_ref<typename linalg_traits<M>
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::const_col_iterator, typename linalg_traits<M>::col_iterator,
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PT>::ref_type iterator;
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typedef typename linalg_traits<this_type>::reference reference;
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typedef typename linalg_traits<this_type>::porigin_type porigin_type;
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SUBI1 si1;
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SUBI2 si2;
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iterator begin_;
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porigin_type origin;
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reference operator()(size_type i, size_type j) const
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{ return linalg_traits<M>::access(begin_ + si2.index(j), si1.index(i)); }
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size_type nrows(void) const { return si1.size(); }
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size_type ncols(void) const { return si2.size(); }
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gen_sub_col_matrix(ref_M m, const SUBI1 &s1, const SUBI2 &s2)
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: si1(s1), si2(s2), begin_(mat_col_begin(m)),
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origin(linalg_origin(m)) {}
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gen_sub_col_matrix() {}
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gen_sub_col_matrix(const gen_sub_col_matrix<CPT, SUBI1, SUBI2> &cr) :
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si1(cr.si1), si2(cr.si2), begin_(cr.begin_),origin(cr.origin) {}
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};
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template <typename PT, typename SUBI1, typename SUBI2>
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struct gen_sub_col_matrix_iterator {
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typedef gen_sub_col_matrix<PT, SUBI1, SUBI2> this_type;
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typedef typename modifiable_pointer<PT>::pointer MPT;
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typedef typename std::iterator_traits<PT>::value_type M;
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typedef typename select_ref<typename linalg_traits<M>::const_col_iterator,
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typename linalg_traits<M>::col_iterator,
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PT>::ref_type ITER;
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typedef ITER value_type;
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typedef ITER *pointer;
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typedef ITER &reference;
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typedef ptrdiff_t difference_type;
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typedef size_t size_type;
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typedef std::random_access_iterator_tag iterator_category;
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typedef gen_sub_col_matrix_iterator<PT, SUBI1, SUBI2> iterator;
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ITER it;
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SUBI1 si1;
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SUBI2 si2;
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size_type ii;
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iterator operator ++(int) { iterator tmp = *this; ii++; return tmp; }
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iterator operator --(int) { iterator tmp = *this; ii--; return tmp; }
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iterator &operator ++() { ii++; return *this; }
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iterator &operator --() { ii--; return *this; }
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iterator &operator +=(difference_type i) { ii += i; return *this; }
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iterator &operator -=(difference_type i) { ii -= i; return *this; }
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iterator operator +(difference_type i) const
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{ iterator itt = *this; return (itt += i); }
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iterator operator -(difference_type i) const
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{ iterator itt = *this; return (itt -= i); }
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difference_type operator -(const iterator &i) const { return ii - i.ii; }
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ITER operator *() const { return it + si2.index(ii); }
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ITER operator [](int i) { return it + si2.index(ii+i); }
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bool operator ==(const iterator &i) const { return (ii == i.ii); }
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bool operator !=(const iterator &i) const { return !(i == *this); }
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bool operator < (const iterator &i) const { return (ii < i.ii); }
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gen_sub_col_matrix_iterator(void) {}
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gen_sub_col_matrix_iterator(const
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gen_sub_col_matrix_iterator<MPT, SUBI1, SUBI2> &itm)
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: it(itm.it), si1(itm.si1), si2(itm.si2), ii(itm.ii) {}
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gen_sub_col_matrix_iterator(const ITER &iter, const SUBI1 &s1,
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const SUBI2 &s2, size_type i)
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: it(iter), si1(s1), si2(s2), ii(i) { }
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};
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template <typename PT, typename SUBI1, typename SUBI2>
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struct linalg_traits<gen_sub_col_matrix<PT, SUBI1, SUBI2> > {
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typedef gen_sub_col_matrix<PT, SUBI1, SUBI2> this_type;
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typedef typename std::iterator_traits<PT>::value_type M;
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typedef typename linalg_traits<M>::origin_type origin_type;
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typedef typename select_ref<const origin_type *, origin_type *,
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PT>::ref_type porigin_type;
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typedef typename which_reference<PT>::is_reference is_reference;
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typedef abstract_matrix linalg_type;
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typedef typename linalg_traits<M>::value_type value_type;
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typedef typename select_ref<value_type,
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typename linalg_traits<M>::reference, PT>::ref_type reference;
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typedef abstract_null_type sub_row_type;
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typedef abstract_null_type row_iterator;
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typedef abstract_null_type const_sub_row_type;
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typedef abstract_null_type const_row_iterator;
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typedef typename sub_vector_type<const typename org_type<typename linalg_traits<M>::const_sub_col_type>::t *, SUBI1>::vector_type const_sub_col_type;
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typedef typename select_ref<abstract_null_type, typename sub_vector_type<typename org_type<typename linalg_traits<M>::sub_col_type>::t *, SUBI1>::vector_type, PT>::ref_type sub_col_type;
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typedef gen_sub_col_matrix_iterator<typename const_pointer<PT>::pointer,
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SUBI1, SUBI2> const_col_iterator;
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typedef typename select_ref<abstract_null_type,
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gen_sub_col_matrix_iterator<PT, SUBI1, SUBI2>, PT>::ref_type
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col_iterator;
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typedef col_major sub_orientation;
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typedef linalg_true index_sorted;
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typedef typename linalg_traits<const_sub_col_type>::storage_type
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storage_type;
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static size_type nrows(const this_type &m) { return m.nrows(); }
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||
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static size_type ncols(const this_type &m) { return m.ncols(); }
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||
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static const_sub_col_type col(const const_col_iterator &it)
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||
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{ return const_sub_col_type(linalg_traits<M>::col(*it), it.si1); }
|
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static sub_col_type col(const col_iterator &it)
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||
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{ return sub_col_type(linalg_traits<M>::col(*it), it.si1); }
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||
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static const_col_iterator col_begin(const this_type &m)
|
||
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{ return const_col_iterator(m.begin_, m.si1, m.si2, 0); }
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||
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static col_iterator col_begin(this_type &m)
|
||
|
|
{ return col_iterator(m.begin_, m.si1, m.si2, 0); }
|
||
|
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static const_col_iterator col_end(const this_type &m)
|
||
|
|
{ return const_col_iterator(m.begin_, m.si1, m.si2, m.ncols()); }
|
||
|
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static col_iterator col_end(this_type &m)
|
||
|
|
{ return col_iterator(m.begin_, m.si1, m.si2, m.ncols()); }
|
||
|
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static origin_type* origin(this_type &v) { return v.origin; }
|
||
|
|
static const origin_type* origin(const this_type &v) { return v.origin; }
|
||
|
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static void do_clear(this_type &m) {
|
||
|
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col_iterator it = mat_col_begin(m), ite = mat_col_end(m);
|
||
|
|
for (; it != ite; ++it) clear(col(it));
|
||
|
|
}
|
||
|
|
static value_type access(const const_col_iterator &itcol, size_type i)
|
||
|
|
{ return linalg_traits<M>::access(*itcol, itcol.si1.index(i)); }
|
||
|
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static reference access(const col_iterator &itcol, size_type i)
|
||
|
|
{ return linalg_traits<M>::access(*itcol, itcol.si1.index(i)); }
|
||
|
|
};
|
||
|
|
|
||
|
|
template <typename PT, typename SUBI1, typename SUBI2> std::ostream &operator <<
|
||
|
|
(std::ostream &o, const gen_sub_col_matrix<PT, SUBI1, SUBI2>& m)
|
||
|
|
{ gmm::write(o,m); return o; }
|
||
|
|
|
||
|
|
/* ******************************************************************** */
|
||
|
|
/* sub matrices */
|
||
|
|
/* ******************************************************************** */
|
||
|
|
|
||
|
|
template <typename PT, typename SUBI1, typename SUBI2, typename ST>
|
||
|
|
struct sub_matrix_type_ {
|
||
|
|
typedef abstract_null_type return_type;
|
||
|
|
};
|
||
|
|
template <typename PT, typename SUBI1, typename SUBI2>
|
||
|
|
struct sub_matrix_type_<PT, SUBI1, SUBI2, col_major>
|
||
|
|
{ typedef gen_sub_col_matrix<PT, SUBI1, SUBI2> matrix_type; };
|
||
|
|
template <typename PT, typename SUBI1, typename SUBI2>
|
||
|
|
struct sub_matrix_type_<PT, SUBI1, SUBI2, row_major>
|
||
|
|
{ typedef gen_sub_row_matrix<PT, SUBI1, SUBI2> matrix_type; };
|
||
|
|
template <typename PT, typename SUBI1, typename SUBI2>
|
||
|
|
struct sub_matrix_type {
|
||
|
|
typedef typename std::iterator_traits<PT>::value_type M;
|
||
|
|
typedef typename sub_matrix_type_<PT, SUBI1, SUBI2,
|
||
|
|
typename principal_orientation_type<typename
|
||
|
|
linalg_traits<M>::sub_orientation>::potype>::matrix_type matrix_type;
|
||
|
|
};
|
||
|
|
|
||
|
|
template <typename M, typename SUBI1, typename SUBI2> inline
|
||
|
|
typename select_return<typename sub_matrix_type<const M *, SUBI1, SUBI2>
|
||
|
|
::matrix_type, typename sub_matrix_type<M *, SUBI1, SUBI2>::matrix_type,
|
||
|
|
M *>::return_type
|
||
|
|
sub_matrix(M &m, const SUBI1 &si1, const SUBI2 &si2) {
|
||
|
|
GMM_ASSERT2(si1.last() <= mat_nrows(m) && si2.last() <= mat_ncols(m),
|
||
|
|
"sub matrix too large");
|
||
|
|
return typename select_return<typename sub_matrix_type<const M *, SUBI1,
|
||
|
|
SUBI2>::matrix_type, typename sub_matrix_type<M *, SUBI1, SUBI2>
|
||
|
|
::matrix_type, M *>::return_type(linalg_cast(m), si1, si2);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename M, typename SUBI1, typename SUBI2> inline
|
||
|
|
typename select_return<typename sub_matrix_type<const M *, SUBI1, SUBI2>
|
||
|
|
::matrix_type, typename sub_matrix_type<M *, SUBI1, SUBI2>::matrix_type,
|
||
|
|
const M *>::return_type
|
||
|
|
sub_matrix(const M &m, const SUBI1 &si1, const SUBI2 &si2) {
|
||
|
|
GMM_ASSERT2(si1.last() <= mat_nrows(m) && si2.last() <= mat_ncols(m),
|
||
|
|
"sub matrix too large");
|
||
|
|
return typename select_return<typename sub_matrix_type<const M *, SUBI1,
|
||
|
|
SUBI2>::matrix_type, typename sub_matrix_type<M *, SUBI1, SUBI2>
|
||
|
|
::matrix_type, const M *>::return_type(linalg_cast(m), si1, si2);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename M, typename SUBI1> inline
|
||
|
|
typename select_return<typename sub_matrix_type<const M *, SUBI1, SUBI1>
|
||
|
|
::matrix_type, typename sub_matrix_type<M *, SUBI1, SUBI1>::matrix_type,
|
||
|
|
M *>::return_type
|
||
|
|
sub_matrix(M &m, const SUBI1 &si1) {
|
||
|
|
GMM_ASSERT2(si1.last() <= mat_nrows(m) && si1.last() <= mat_ncols(m),
|
||
|
|
"sub matrix too large");
|
||
|
|
return typename select_return<typename sub_matrix_type<const M *, SUBI1,
|
||
|
|
SUBI1>::matrix_type, typename sub_matrix_type<M *, SUBI1, SUBI1>
|
||
|
|
::matrix_type, M *>::return_type(linalg_cast(m), si1, si1);
|
||
|
|
}
|
||
|
|
|
||
|
|
template <typename M, typename SUBI1> inline
|
||
|
|
typename select_return<typename sub_matrix_type<const M *, SUBI1, SUBI1>
|
||
|
|
::matrix_type, typename sub_matrix_type<M *, SUBI1, SUBI1>::matrix_type,
|
||
|
|
const M *>::return_type
|
||
|
|
sub_matrix(const M &m, const SUBI1 &si1) {
|
||
|
|
GMM_ASSERT2(si1.last() <= mat_nrows(m) && si1.last() <= mat_ncols(m),
|
||
|
|
"sub matrix too large");
|
||
|
|
return typename select_return<typename sub_matrix_type<const M *, SUBI1,
|
||
|
|
SUBI1>::matrix_type, typename sub_matrix_type<M *, SUBI1, SUBI1>
|
||
|
|
::matrix_type, const M *>::return_type(linalg_cast(m), si1, si1);
|
||
|
|
}
|
||
|
|
|
||
|
|
}
|
||
|
|
|
||
|
|
#endif // GMM_SUB_MATRIX_H__
|