check_range does ignore names argument

Description

The check_range error checking function does ignore the names argument and thereby it prevents good error messages.

Example

Here is the definition:

inline void check_range(const char* function, const char* name, int max,
                        int index, int nested_level, const char* error_msg) {
  STAN_NO_RANGE_CHECKS_RETURN;
  if (!((index >= stan::error_index::value)
        && (index < max + stan::error_index::value))) {
    [&]() STAN_COLD_PATH {
      std::stringstream msg;
      msg << "; index position = " << nested_level;
      std::string msg_str(msg.str());
      out_of_range(function, max, index, msg_str.c_str(), error_msg);
    }();
  }
}

The name should somehow be passed on. No??

Expected Output

Error messages should

Current Version:

v4.0.1

Start at the check_range definition shown in the issue and trace how it calls out_of_range. Pass the name through so the resulting range error includes it, then verify that the error message identifies the checked name.