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+// This file is part of Eigen, a lightweight C++ template library
+// for linear algebra.
+//
+// Copyright (C) 2018 Gael Guennebaud <gael.guennebaud@inria.fr>
+//
+// This Source Code Form is subject to the terms of the Mozilla
+// Public License v. 2.0. If a copy of the MPL was not distributed
+// with this file, You can obtain one at http://mozilla.org/MPL/2.0/.
+
+#ifndef EIGEN_STLITERATORS_H
+#define EIGEN_STLITERATORS_H
+
+namespace Eigen {
+
+namespace internal {
+
+template<typename IteratorType>
+struct indexed_based_stl_iterator_traits;
+
+template<typename Derived>
+class indexed_based_stl_iterator_base
+{
+protected:
+ typedef indexed_based_stl_iterator_traits<Derived> traits;
+ typedef typename traits::XprType XprType;
+ typedef indexed_based_stl_iterator_base<typename traits::non_const_iterator> non_const_iterator;
+ typedef indexed_based_stl_iterator_base<typename traits::const_iterator> const_iterator;
+ typedef typename internal::conditional<internal::is_const<XprType>::value,non_const_iterator,const_iterator>::type other_iterator;
+ // NOTE: in C++03 we cannot declare friend classes through typedefs because we need to write friend class:
+ friend class indexed_based_stl_iterator_base<typename traits::const_iterator>;
+ friend class indexed_based_stl_iterator_base<typename traits::non_const_iterator>;
+public:
+ typedef Index difference_type;
+ typedef std::random_access_iterator_tag iterator_category;
+
+ indexed_based_stl_iterator_base() EIGEN_NO_THROW : mp_xpr(0), m_index(0) {}
+ indexed_based_stl_iterator_base(XprType& xpr, Index index) EIGEN_NO_THROW : mp_xpr(&xpr), m_index(index) {}
+
+ indexed_based_stl_iterator_base(const non_const_iterator& other) EIGEN_NO_THROW
+ : mp_xpr(other.mp_xpr), m_index(other.m_index)
+ {}
+
+ indexed_based_stl_iterator_base& operator=(const non_const_iterator& other)
+ {
+ mp_xpr = other.mp_xpr;
+ m_index = other.m_index;
+ return *this;
+ }
+
+ Derived& operator++() { ++m_index; return derived(); }
+ Derived& operator--() { --m_index; return derived(); }
+
+ Derived operator++(int) { Derived prev(derived()); operator++(); return prev;}
+ Derived operator--(int) { Derived prev(derived()); operator--(); return prev;}
+
+ friend Derived operator+(const indexed_based_stl_iterator_base& a, Index b) { Derived ret(a.derived()); ret += b; return ret; }
+ friend Derived operator-(const indexed_based_stl_iterator_base& a, Index b) { Derived ret(a.derived()); ret -= b; return ret; }
+ friend Derived operator+(Index a, const indexed_based_stl_iterator_base& b) { Derived ret(b.derived()); ret += a; return ret; }
+ friend Derived operator-(Index a, const indexed_based_stl_iterator_base& b) { Derived ret(b.derived()); ret -= a; return ret; }
+
+ Derived& operator+=(Index b) { m_index += b; return derived(); }
+ Derived& operator-=(Index b) { m_index -= b; return derived(); }
+
+ difference_type operator-(const indexed_based_stl_iterator_base& other) const
+ {
+ eigen_assert(mp_xpr == other.mp_xpr);
+ return m_index - other.m_index;
+ }
+
+ difference_type operator-(const other_iterator& other) const
+ {
+ eigen_assert(mp_xpr == other.mp_xpr);
+ return m_index - other.m_index;
+ }
+
+ bool operator==(const indexed_based_stl_iterator_base& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index == other.m_index; }
+ bool operator!=(const indexed_based_stl_iterator_base& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index != other.m_index; }
+ bool operator< (const indexed_based_stl_iterator_base& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index < other.m_index; }
+ bool operator<=(const indexed_based_stl_iterator_base& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index <= other.m_index; }
+ bool operator> (const indexed_based_stl_iterator_base& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index > other.m_index; }
+ bool operator>=(const indexed_based_stl_iterator_base& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index >= other.m_index; }
+
+ bool operator==(const other_iterator& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index == other.m_index; }
+ bool operator!=(const other_iterator& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index != other.m_index; }
+ bool operator< (const other_iterator& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index < other.m_index; }
+ bool operator<=(const other_iterator& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index <= other.m_index; }
+ bool operator> (const other_iterator& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index > other.m_index; }
+ bool operator>=(const other_iterator& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index >= other.m_index; }
+
+protected:
+
+ Derived& derived() { return static_cast<Derived&>(*this); }
+ const Derived& derived() const { return static_cast<const Derived&>(*this); }
+
+ XprType *mp_xpr;
+ Index m_index;
+};
+
+template<typename Derived>
+class indexed_based_stl_reverse_iterator_base
+{
+protected:
+ typedef indexed_based_stl_iterator_traits<Derived> traits;
+ typedef typename traits::XprType XprType;
+ typedef indexed_based_stl_reverse_iterator_base<typename traits::non_const_iterator> non_const_iterator;
+ typedef indexed_based_stl_reverse_iterator_base<typename traits::const_iterator> const_iterator;
+ typedef typename internal::conditional<internal::is_const<XprType>::value,non_const_iterator,const_iterator>::type other_iterator;
+ // NOTE: in C++03 we cannot declare friend classes through typedefs because we need to write friend class:
+ friend class indexed_based_stl_reverse_iterator_base<typename traits::const_iterator>;
+ friend class indexed_based_stl_reverse_iterator_base<typename traits::non_const_iterator>;
+public:
+ typedef Index difference_type;
+ typedef std::random_access_iterator_tag iterator_category;
+
+ indexed_based_stl_reverse_iterator_base() : mp_xpr(0), m_index(0) {}
+ indexed_based_stl_reverse_iterator_base(XprType& xpr, Index index) : mp_xpr(&xpr), m_index(index) {}
+
+ indexed_based_stl_reverse_iterator_base(const non_const_iterator& other)
+ : mp_xpr(other.mp_xpr), m_index(other.m_index)
+ {}
+
+ indexed_based_stl_reverse_iterator_base& operator=(const non_const_iterator& other)
+ {
+ mp_xpr = other.mp_xpr;
+ m_index = other.m_index;
+ return *this;
+ }
+
+ Derived& operator++() { --m_index; return derived(); }
+ Derived& operator--() { ++m_index; return derived(); }
+
+ Derived operator++(int) { Derived prev(derived()); operator++(); return prev;}
+ Derived operator--(int) { Derived prev(derived()); operator--(); return prev;}
+
+ friend Derived operator+(const indexed_based_stl_reverse_iterator_base& a, Index b) { Derived ret(a.derived()); ret += b; return ret; }
+ friend Derived operator-(const indexed_based_stl_reverse_iterator_base& a, Index b) { Derived ret(a.derived()); ret -= b; return ret; }
+ friend Derived operator+(Index a, const indexed_based_stl_reverse_iterator_base& b) { Derived ret(b.derived()); ret += a; return ret; }
+ friend Derived operator-(Index a, const indexed_based_stl_reverse_iterator_base& b) { Derived ret(b.derived()); ret -= a; return ret; }
+
+ Derived& operator+=(Index b) { m_index -= b; return derived(); }
+ Derived& operator-=(Index b) { m_index += b; return derived(); }
+
+ difference_type operator-(const indexed_based_stl_reverse_iterator_base& other) const
+ {
+ eigen_assert(mp_xpr == other.mp_xpr);
+ return other.m_index - m_index;
+ }
+
+ difference_type operator-(const other_iterator& other) const
+ {
+ eigen_assert(mp_xpr == other.mp_xpr);
+ return other.m_index - m_index;
+ }
+
+ bool operator==(const indexed_based_stl_reverse_iterator_base& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index == other.m_index; }
+ bool operator!=(const indexed_based_stl_reverse_iterator_base& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index != other.m_index; }
+ bool operator< (const indexed_based_stl_reverse_iterator_base& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index > other.m_index; }
+ bool operator<=(const indexed_based_stl_reverse_iterator_base& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index >= other.m_index; }
+ bool operator> (const indexed_based_stl_reverse_iterator_base& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index < other.m_index; }
+ bool operator>=(const indexed_based_stl_reverse_iterator_base& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index <= other.m_index; }
+
+ bool operator==(const other_iterator& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index == other.m_index; }
+ bool operator!=(const other_iterator& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index != other.m_index; }
+ bool operator< (const other_iterator& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index > other.m_index; }
+ bool operator<=(const other_iterator& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index >= other.m_index; }
+ bool operator> (const other_iterator& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index < other.m_index; }
+ bool operator>=(const other_iterator& other) const { eigen_assert(mp_xpr == other.mp_xpr); return m_index <= other.m_index; }
+
+protected:
+
+ Derived& derived() { return static_cast<Derived&>(*this); }
+ const Derived& derived() const { return static_cast<const Derived&>(*this); }
+
+ XprType *mp_xpr;
+ Index m_index;
+};
+
+template<typename XprType>
+class pointer_based_stl_iterator
+{
+ enum { is_lvalue = internal::is_lvalue<XprType>::value };
+ typedef pointer_based_stl_iterator<typename internal::remove_const<XprType>::type> non_const_iterator;
+ typedef pointer_based_stl_iterator<typename internal::add_const<XprType>::type> const_iterator;
+ typedef typename internal::conditional<internal::is_const<XprType>::value,non_const_iterator,const_iterator>::type other_iterator;
+ // NOTE: in C++03 we cannot declare friend classes through typedefs because we need to write friend class:
+ friend class pointer_based_stl_iterator<typename internal::add_const<XprType>::type>;
+ friend class pointer_based_stl_iterator<typename internal::remove_const<XprType>::type>;
+public:
+ typedef Index difference_type;
+ typedef typename XprType::Scalar value_type;
+ typedef std::random_access_iterator_tag iterator_category;
+ typedef typename internal::conditional<bool(is_lvalue), value_type*, const value_type*>::type pointer;
+ typedef typename internal::conditional<bool(is_lvalue), value_type&, const value_type&>::type reference;
+
+
+ pointer_based_stl_iterator() EIGEN_NO_THROW : m_ptr(0) {}
+ pointer_based_stl_iterator(XprType& xpr, Index index) EIGEN_NO_THROW : m_incr(xpr.innerStride())
+ {
+ m_ptr = xpr.data() + index * m_incr.value();
+ }
+
+ pointer_based_stl_iterator(const non_const_iterator& other) EIGEN_NO_THROW
+ : m_ptr(other.m_ptr), m_incr(other.m_incr)
+ {}
+
+ pointer_based_stl_iterator& operator=(const non_const_iterator& other) EIGEN_NO_THROW
+ {
+ m_ptr = other.m_ptr;
+ m_incr.setValue(other.m_incr);
+ return *this;
+ }
+
+ reference operator*() const { return *m_ptr; }
+ reference operator[](Index i) const { return *(m_ptr+i*m_incr.value()); }
+ pointer operator->() const { return m_ptr; }
+
+ pointer_based_stl_iterator& operator++() { m_ptr += m_incr.value(); return *this; }
+ pointer_based_stl_iterator& operator--() { m_ptr -= m_incr.value(); return *this; }
+
+ pointer_based_stl_iterator operator++(int) { pointer_based_stl_iterator prev(*this); operator++(); return prev;}
+ pointer_based_stl_iterator operator--(int) { pointer_based_stl_iterator prev(*this); operator--(); return prev;}
+
+ friend pointer_based_stl_iterator operator+(const pointer_based_stl_iterator& a, Index b) { pointer_based_stl_iterator ret(a); ret += b; return ret; }
+ friend pointer_based_stl_iterator operator-(const pointer_based_stl_iterator& a, Index b) { pointer_based_stl_iterator ret(a); ret -= b; return ret; }
+ friend pointer_based_stl_iterator operator+(Index a, const pointer_based_stl_iterator& b) { pointer_based_stl_iterator ret(b); ret += a; return ret; }
+ friend pointer_based_stl_iterator operator-(Index a, const pointer_based_stl_iterator& b) { pointer_based_stl_iterator ret(b); ret -= a; return ret; }
+
+ pointer_based_stl_iterator& operator+=(Index b) { m_ptr += b*m_incr.value(); return *this; }
+ pointer_based_stl_iterator& operator-=(Index b) { m_ptr -= b*m_incr.value(); return *this; }
+
+ difference_type operator-(const pointer_based_stl_iterator& other) const {
+ return (m_ptr - other.m_ptr)/m_incr.value();
+ }
+
+ difference_type operator-(const other_iterator& other) const {
+ return (m_ptr - other.m_ptr)/m_incr.value();
+ }
+
+ bool operator==(const pointer_based_stl_iterator& other) const { return m_ptr == other.m_ptr; }
+ bool operator!=(const pointer_based_stl_iterator& other) const { return m_ptr != other.m_ptr; }
+ bool operator< (const pointer_based_stl_iterator& other) const { return m_ptr < other.m_ptr; }
+ bool operator<=(const pointer_based_stl_iterator& other) const { return m_ptr <= other.m_ptr; }
+ bool operator> (const pointer_based_stl_iterator& other) const { return m_ptr > other.m_ptr; }
+ bool operator>=(const pointer_based_stl_iterator& other) const { return m_ptr >= other.m_ptr; }
+
+ bool operator==(const other_iterator& other) const { return m_ptr == other.m_ptr; }
+ bool operator!=(const other_iterator& other) const { return m_ptr != other.m_ptr; }
+ bool operator< (const other_iterator& other) const { return m_ptr < other.m_ptr; }
+ bool operator<=(const other_iterator& other) const { return m_ptr <= other.m_ptr; }
+ bool operator> (const other_iterator& other) const { return m_ptr > other.m_ptr; }
+ bool operator>=(const other_iterator& other) const { return m_ptr >= other.m_ptr; }
+
+protected:
+
+ pointer m_ptr;
+ internal::variable_if_dynamic<Index, XprType::InnerStrideAtCompileTime> m_incr;
+};
+
+template<typename _XprType>
+struct indexed_based_stl_iterator_traits<generic_randaccess_stl_iterator<_XprType> >
+{
+ typedef _XprType XprType;
+ typedef generic_randaccess_stl_iterator<typename internal::remove_const<XprType>::type> non_const_iterator;
+ typedef generic_randaccess_stl_iterator<typename internal::add_const<XprType>::type> const_iterator;
+};
+
+template<typename XprType>
+class generic_randaccess_stl_iterator : public indexed_based_stl_iterator_base<generic_randaccess_stl_iterator<XprType> >
+{
+public:
+ typedef typename XprType::Scalar value_type;
+
+protected:
+
+ enum {
+ has_direct_access = (internal::traits<XprType>::Flags & DirectAccessBit) ? 1 : 0,
+ is_lvalue = internal::is_lvalue<XprType>::value
+ };
+
+ typedef indexed_based_stl_iterator_base<generic_randaccess_stl_iterator> Base;
+ using Base::m_index;
+ using Base::mp_xpr;
+
+ // TODO currently const Transpose/Reshape expressions never returns const references,
+ // so lets return by value too.
+ //typedef typename internal::conditional<bool(has_direct_access), const value_type&, const value_type>::type read_only_ref_t;
+ typedef const value_type read_only_ref_t;
+
+public:
+
+ typedef typename internal::conditional<bool(is_lvalue), value_type *, const value_type *>::type pointer;
+ typedef typename internal::conditional<bool(is_lvalue), value_type&, read_only_ref_t>::type reference;
+
+ generic_randaccess_stl_iterator() : Base() {}
+ generic_randaccess_stl_iterator(XprType& xpr, Index index) : Base(xpr,index) {}
+ generic_randaccess_stl_iterator(const typename Base::non_const_iterator& other) : Base(other) {}
+ using Base::operator=;
+
+ reference operator*() const { return (*mp_xpr)(m_index); }
+ reference operator[](Index i) const { return (*mp_xpr)(m_index+i); }
+ pointer operator->() const { return &((*mp_xpr)(m_index)); }
+};
+
+template<typename _XprType, DirectionType Direction>
+struct indexed_based_stl_iterator_traits<subvector_stl_iterator<_XprType,Direction> >
+{
+ typedef _XprType XprType;
+ typedef subvector_stl_iterator<typename internal::remove_const<XprType>::type, Direction> non_const_iterator;
+ typedef subvector_stl_iterator<typename internal::add_const<XprType>::type, Direction> const_iterator;
+};
+
+template<typename XprType, DirectionType Direction>
+class subvector_stl_iterator : public indexed_based_stl_iterator_base<subvector_stl_iterator<XprType,Direction> >
+{
+protected:
+
+ enum { is_lvalue = internal::is_lvalue<XprType>::value };
+
+ typedef indexed_based_stl_iterator_base<subvector_stl_iterator> Base;
+ using Base::m_index;
+ using Base::mp_xpr;
+
+ typedef typename internal::conditional<Direction==Vertical,typename XprType::ColXpr,typename XprType::RowXpr>::type SubVectorType;
+ typedef typename internal::conditional<Direction==Vertical,typename XprType::ConstColXpr,typename XprType::ConstRowXpr>::type ConstSubVectorType;
+
+
+public:
+ typedef typename internal::conditional<bool(is_lvalue), SubVectorType, ConstSubVectorType>::type reference;
+ typedef typename reference::PlainObject value_type;
+
+private:
+ class subvector_stl_iterator_ptr
+ {
+ public:
+ subvector_stl_iterator_ptr(const reference &subvector) : m_subvector(subvector) {}
+ reference* operator->() { return &m_subvector; }
+ private:
+ reference m_subvector;
+ };
+public:
+
+ typedef subvector_stl_iterator_ptr pointer;
+
+ subvector_stl_iterator() : Base() {}
+ subvector_stl_iterator(XprType& xpr, Index index) : Base(xpr,index) {}
+
+ reference operator*() const { return (*mp_xpr).template subVector<Direction>(m_index); }
+ reference operator[](Index i) const { return (*mp_xpr).template subVector<Direction>(m_index+i); }
+ pointer operator->() const { return (*mp_xpr).template subVector<Direction>(m_index); }
+};
+
+template<typename _XprType, DirectionType Direction>
+struct indexed_based_stl_iterator_traits<subvector_stl_reverse_iterator<_XprType,Direction> >
+{
+ typedef _XprType XprType;
+ typedef subvector_stl_reverse_iterator<typename internal::remove_const<XprType>::type, Direction> non_const_iterator;
+ typedef subvector_stl_reverse_iterator<typename internal::add_const<XprType>::type, Direction> const_iterator;
+};
+
+template<typename XprType, DirectionType Direction>
+class subvector_stl_reverse_iterator : public indexed_based_stl_reverse_iterator_base<subvector_stl_reverse_iterator<XprType,Direction> >
+{
+protected:
+
+ enum { is_lvalue = internal::is_lvalue<XprType>::value };
+
+ typedef indexed_based_stl_reverse_iterator_base<subvector_stl_reverse_iterator> Base;
+ using Base::m_index;
+ using Base::mp_xpr;
+
+ typedef typename internal::conditional<Direction==Vertical,typename XprType::ColXpr,typename XprType::RowXpr>::type SubVectorType;
+ typedef typename internal::conditional<Direction==Vertical,typename XprType::ConstColXpr,typename XprType::ConstRowXpr>::type ConstSubVectorType;
+
+
+public:
+ typedef typename internal::conditional<bool(is_lvalue), SubVectorType, ConstSubVectorType>::type reference;
+ typedef typename reference::PlainObject value_type;
+
+private:
+ class subvector_stl_reverse_iterator_ptr
+ {
+ public:
+ subvector_stl_reverse_iterator_ptr(const reference &subvector) : m_subvector(subvector) {}
+ reference* operator->() { return &m_subvector; }
+ private:
+ reference m_subvector;
+ };
+public:
+
+ typedef subvector_stl_reverse_iterator_ptr pointer;
+
+ subvector_stl_reverse_iterator() : Base() {}
+ subvector_stl_reverse_iterator(XprType& xpr, Index index) : Base(xpr,index) {}
+
+ reference operator*() const { return (*mp_xpr).template subVector<Direction>(m_index); }
+ reference operator[](Index i) const { return (*mp_xpr).template subVector<Direction>(m_index+i); }
+ pointer operator->() const { return (*mp_xpr).template subVector<Direction>(m_index); }
+};
+
+} // namespace internal
+
+
+/** returns an iterator to the first element of the 1D vector or array
+ * \only_for_vectors
+ * \sa end(), cbegin()
+ */
+template<typename Derived>
+inline typename DenseBase<Derived>::iterator DenseBase<Derived>::begin()
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived);
+ return iterator(derived(), 0);
+}
+
+/** const version of begin() */
+template<typename Derived>
+inline typename DenseBase<Derived>::const_iterator DenseBase<Derived>::begin() const
+{
+ return cbegin();
+}
+
+/** returns a read-only const_iterator to the first element of the 1D vector or array
+ * \only_for_vectors
+ * \sa cend(), begin()
+ */
+template<typename Derived>
+inline typename DenseBase<Derived>::const_iterator DenseBase<Derived>::cbegin() const
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived);
+ return const_iterator(derived(), 0);
+}
+
+/** returns an iterator to the element following the last element of the 1D vector or array
+ * \only_for_vectors
+ * \sa begin(), cend()
+ */
+template<typename Derived>
+inline typename DenseBase<Derived>::iterator DenseBase<Derived>::end()
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived);
+ return iterator(derived(), size());
+}
+
+/** const version of end() */
+template<typename Derived>
+inline typename DenseBase<Derived>::const_iterator DenseBase<Derived>::end() const
+{
+ return cend();
+}
+
+/** returns a read-only const_iterator to the element following the last element of the 1D vector or array
+ * \only_for_vectors
+ * \sa begin(), cend()
+ */
+template<typename Derived>
+inline typename DenseBase<Derived>::const_iterator DenseBase<Derived>::cend() const
+{
+ EIGEN_STATIC_ASSERT_VECTOR_ONLY(Derived);
+ return const_iterator(derived(), size());
+}
+
+} // namespace Eigen
+
+#endif // EIGEN_STLITERATORS_H