I have implemented a custom iterator to iterate over an array that is held by a pointer. The iterator accepts a unit which specifies by which amount the underlying pointer is increased (or decreased) at each increment (or decrement).

I.e. when

auto data = new int[100];
ArrayIterator<int, false> it(data, 2); // 2nd argument is unit

it + 1 refers to the same element as data + 2.

PointerIterator.hpp

#pragma once

#include <iterator>


/**
 * brief A class for iterating over pointers. This class allows to specify a unit, by which the underlying pointers are 
 * incremented (or decremented) when increasing (or decreasing) it. 
 * I.e. this allows to easily iterate over columns of a matrix that is represented by a single pointer in row major order.
 * tparam DataT The data type the pointer is pointing to.
 * tparam Reverse True, if the iterator is used as a reverse iterator (incrementing the iterator is decrementing the pointer, and vice versa).
 */
template <typename DataT, bool Reverse = false>
class ArrayIterator

public:
 using difference_type = long long;
 using value_type = DataT;
 using pointer = DataT*;
 using const_pointer = const DataT*;
 using reference = DataT&;
 using const_reference = const DataT&;
 using iterator_category = std::random_access_iterator_tag;

 using const_iterator = ArrayIterator<const std::remove_const_t<DataT>, Reverse>;


 /**
 * brief Creates an invalid iterator.
 */
 ArrayIterator() = default;

 /**
 * brief Creates a pointer iterator for the specified pointer.
 * tparam DataT The underlying data type of the pointer.
 * param data The pointer.
 * param unit The amount by which the pointer is increased (or decreased) at each increment (or decrement). 
 */
 explicit ArrayIterator(DataT* data, size_t unit = 1);

 operator const_iterator() const; // allow implicit conversion from iterator to const iterator

 ArrayIterator& operator++();
 ArrayIterator operator++(int);

 ArrayIterator& operator--();
 ArrayIterator operator--(int);

 ArrayIterator& operator+=(int n);
 ArrayIterator& operator-=(int n);

 ArrayIterator operator+(int n) const;

 ArrayIterator operator-(int n) const;
 difference_type operator-(ArrayIterator other) const;

 reference operator(int n);
 const_reference operator(int n) const;

 bool operator<(ArrayIterator other) const;
 bool operator<=(ArrayIterator other) const;
 bool operator>(ArrayIterator other) const;
 bool operator>=(ArrayIterator other) const;

 bool operator==(ArrayIterator other) const;
 bool operator!=(ArrayIterator other) const;

 pointer operator->();
 const_pointer operator->() const;
 reference operator*();
 const_reference operator*() const;

 void swap(ArrayIterator& other) noexcept;
 size_t getUnit() const;

private:
 pointer _ptr = nullptr;
 size_t _unit = 0;
;


template <typename DataT, bool Reverse>
ArrayIterator<DataT, Reverse>::ArrayIterator(DataT* data, size_t unit)
 : _ptr(data), _unit(unit)




template <typename DataT, bool Reverse>
ArrayIterator<DataT, Reverse>::operator const_iterator() const

 using type = const std::remove_const_t<DataT>;
 return ArrayIterator<type, Reverse>(reinterpret_cast<type*>(_ptr), _unit);


template <typename DataT, bool Reverse>
ArrayIterator<DataT, Reverse>& ArrayIterator<DataT, Reverse>::operator++()

 if constexpr (Reverse)
 _ptr -= _unit;
 else
 _ptr += _unit;

 return *this;


template <typename DataT, bool Reverse>
ArrayIterator<DataT, Reverse> ArrayIterator<DataT, Reverse>::operator++(int)

 auto it = *this;
 ++*this;
 return it;


template <typename DataT, bool Reverse>
ArrayIterator<DataT, Reverse>& ArrayIterator<DataT, Reverse>::operator--()

 if constexpr (Reverse)
 _ptr += _unit;
 else
 _ptr -= _unit;

 return *this;


template <typename DataT, bool Reverse>
ArrayIterator<DataT, Reverse> ArrayIterator<DataT, Reverse>::operator--(int)

 auto it = *this;
 --*this;
 return it;


template <typename DataT, bool Reverse>
ArrayIterator<DataT, Reverse>& ArrayIterator<DataT, Reverse>::operator+=(int n)

 if constexpr (Reverse)
 _ptr -= n * _unit;
 else
 _ptr += n * _unit;

 return *this;


template <typename DataT, bool Reverse>
ArrayIterator<DataT, Reverse>& ArrayIterator<DataT, Reverse>::operator-=(int n)

 if constexpr (Reverse)
 _ptr += n * _unit;
 else
 _ptr -= n * _unit;

 return *this;


template <typename DataT, bool Reverse>
ArrayIterator<DataT, Reverse> ArrayIterator<DataT, Reverse>::operator+(int n) const

 auto it = *this;
 it += n;
 return it;


template <typename DataT, bool Reverse>
ArrayIterator<DataT, Reverse> ArrayIterator<DataT, Reverse>::operator-(int n) const

 auto it = *this;
 it -= n;
 return it;


template <typename DataT, bool Reverse>
typename ArrayIterator<DataT, Reverse>::difference_type ArrayIterator<DataT, Reverse>::operator-(ArrayIterator other) const

 if (_unit != other._unit)
 throw std::logic_error("Cannot calculate differnce for iterators with different unit.");

 if constexpr (Reverse)
 return (_ptr - other._ptr) / _unit;
 else
 return (other._ptr - _ptr) / _unit;


template <typename DataT, bool Reverse>
typename ArrayIterator<DataT, Reverse>::reference ArrayIterator<DataT, Reverse>::operator(int n)

 return *(*this + n);


template <typename DataT, bool Reverse>
typename ArrayIterator<DataT, Reverse>::const_reference ArrayIterator<DataT, Reverse>::operator(int n) const

 return *(*this + n);


template <typename DataT, bool Reverse>
bool ArrayIterator<DataT, Reverse>::operator<(ArrayIterator other) const

 if constexpr (Reverse)
 return other._ptr < _ptr;
 else
 return _ptr < other._ptr;


template <typename DataT, bool Reverse>
bool ArrayIterator<DataT, Reverse>::operator<=(ArrayIterator other) const

 if constexpr (Reverse)
 return other._ptr <= _ptr;
 else
 return _ptr <= other._ptr;


template <typename DataT, bool Reverse>
bool ArrayIterator<DataT, Reverse>::operator>(ArrayIterator other) const

 if constexpr (Reverse)
 return other._ptr > _ptr;
 else
 return _ptr > other._ptr;


template <typename DataT, bool Reverse>
bool ArrayIterator<DataT, Reverse>::operator>=(ArrayIterator other) const

 if constexpr (Reverse)
 return other._ptr >= _ptr;
 else
 return _ptr >= other._ptr;


template <typename DataT, bool Reverse>
bool ArrayIterator<DataT, Reverse>::operator==(ArrayIterator other) const

 return _ptr == other._ptr;


template <typename DataT, bool Reverse>
bool ArrayIterator<DataT, Reverse>::operator!=(ArrayIterator other) const

 return !(*this == other);


template <typename DataT, bool Reverse>
typename ArrayIterator<DataT, Reverse>::pointer ArrayIterator<DataT, Reverse>::operator->()

 return _ptr;


template <typename DataT, bool Reverse>
typename ArrayIterator<DataT, Reverse>::const_pointer ArrayIterator<DataT, Reverse>::operator->() const

 return _ptr;


template <typename DataT, bool Reverse>
typename ArrayIterator<DataT, Reverse>::reference ArrayIterator<DataT, Reverse>::operator*()

 return *_ptr;


template <typename DataT, bool Reverse>
typename ArrayIterator<DataT, Reverse>::const_reference ArrayIterator<DataT, Reverse>::operator*() const

 return *_ptr;


template <typename DataT, bool Reverse>
void ArrayIterator<DataT, Reverse>::swap(ArrayIterator& other) noexcept

 auto mPtr = _ptr;
 auto mUnit = _unit;
 _ptr = other._ptr;
 _unit = other._unit;
 other._ptr = mPtr;
 other._unit = mUnit;


template <typename DataT, bool Reverse>
size_t ArrayIterator<DataT, Reverse>::getUnit() const

 return _unit;



/**
 * brief Creates an iterator for the specified pointer.
 * tparam DataT The underlying data type of the pointer.
 * param ptr The pointer.
 * param unit The amount by which the pointer is increased (or decreased) at each increment (or decrement). 
 */
template <typename DataT>
ArrayIterator<DataT, false> makeArrayIterator(DataT* ptr, size_t unit = 1)

 return ArrayIterator<DataT, false>(ptr, unit);



/**
 * brief Creates a reversed iterator for the specified pointer. That is, if the iterator is increased by 
 * an arbitrary amount x, the underlying pointer is decreased by x (and vice versa). 
 * tparam DataT The underlying data type of the pointer.
 * param ptr The pointer.
 * param unit The amount by which the pointer is increased (or decreased) at each increment (or decrement). 
 */
template <typename DataT>
ArrayIterator<DataT, true> makeArrayIterator(DataT* ptr, size_t unit = 1)

 return ArrayIterator<DataT, true>(ptr, unit);


/**
 * brief Creates a const iterator for the specified pointer.
 * tparam DataT The underlying data type of the pointer.
 * param ptr The pointer.
 * param unit The amount by which the pointer is increased (or decreased) at each increment (or decrement). 
 */
template <typename DataT>
ArrayIterator<DataT, false> makeConstArrayIterator(DataT* ptr, size_t unit = 1)

 return ArrayIterator<const std::remove_const_t<DataT>, false>(ptr, unit);



/**
 * brief Creates a const reversed iterator for the specified pointer. That is, if the iterator is increased by 
 * an arbitrary amount x, the underlying pointer is decreased by x (and vice versa). 
 * tparam DataT The underlying data type of the pointer.
 * param ptr The pointer.
 * param unit The amount by which the pointer is increased (or decreased) at each increment (or decrement). 
 */
template <typename DataT>
ArrayIterator<const DataT, true> makeConstReverseArrayIterator(DataT* ptr, size_t unit = 1)

 return ArrayIterator<const std::remove_const_t<DataT>, true>(ptr, unit);

Are there any mistakes or improvements?

Design Issues

If there is one thing that bothers me about your code, it's that Reverse template parameter. First off all, why would you code that into your class if you could just use std::reverse_iterator and be done?

Secondly, I would argue against adding additional functionality to iterators. After all, the reason for having iterators in the first place is to have a uniform, pointer-like access to the contents of a collection. Adding additional functionality into this interface violates the principle of minimalism that the design is based on.

Other Things

1. Fix your includes. You're missing #include <type_traits> (for std::remove_const_t), #include <stdexcept> (for std::logic_error) and #include <cstddef> or similar (for std::size_t).


2. Don't rely on C legacy types being defined in the global namespace. ::size_t may not exist; use std::size_t instead.


3. 
   using difference_type = long long; should be using difference_type = std::ptrdiff_t. The latter is arguably more correct here and expresses your intents better.


4. Why do you take an int as argument for operator? This limits your dereference to the size of int, whereas the underlying container can have a size of std::size_t.


5. It appears you have typo'ed "difference" in throw std::logic_error("Cannot calculate differnce for iterators with different unit.");.

Take a look at Boost.Iterator.

You can write what you want by a simple use of Boost’s iterator_adaptor, changing only what you need to change (e.g. advance member). Seriously, it does all that code you wrote, already in the can and well reviewed for edge cases. You only have to write what’s different from the underlying iterator, and everything else comes through.

Or, if you’re living on the bleeding edge, just use a view::stride in the Range v3 library.

Given a source range and an integral stride value, return a range consisting of every N^th element, starting with the first.