I am implementing a custom class that contains an STL std::vector as central data member.
Now, I would like this class to provide an iterator, which merely needs to iterate through this vector and also works with C++11 range based iteration.
It is very tempting to just somehow inherit the iterator from std::vector::iterator as it is supposed to do exactly the same job. Is this possible or do I need to implement a completely custom iterator?
class Custom {
private:
  std::vector<double> _data;
public:
  class iterator {
    // Want this to provide an interface to iterate through _data
    // ...
  };
  // ...
};
Custom C;
// Populate C with data ...
for (const auto& item : C) {
  // This should print the elements within _data.
  std::cout << item << std::endl;
}
                You don't need to inherit from the iterator itself. You can just provide interfaces for the iterators used by the std::vector<double>. 
Here is a quick snippet:
#include <vector>
#include <iostream>
class Custom {
private:
  std::vector<double> _data;
public:
  explicit Custom(std::initializer_list<double> init) : _data(init) {}
  using iterator = std::vector<double>::iterator;
  using const_iterator = std::vector<double>::const_iterator;
  iterator begin()
  {
    return _data.begin();
  } 
  iterator end()
  {
    return _data.end();
  } 
  const_iterator cbegin() const
  {
    return _data.cbegin();
  } 
  const_iterator cend() const
  {
    return _data.cend();
  } 
};
int main()
{
  Custom C({ 1.0,2.0,3.0,4.0,5.0 });
  for (const auto &item : C)
  {
    std::cout << item << "\n";
  } 
  return 0;
}
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