MySQL 5.7 C API Developer Guide
unsigned int mysql_num_fields(MYSQL_RES *result)
        To pass a MYSQL* argument instead, use
        unsigned int mysql_field_count(MYSQL *mysql).
      
Returns the number of columns in a result set.
          You can get the number of columns either from a pointer to a
          result set or to a connection handler. You would use the
          connection handler if
          mysql_store_result() or
          mysql_use_result() returned
          NULL (and thus you have no result set
          pointer). In this case, you can call
          mysql_field_count() to
          determine whether
          mysql_store_result() should
          have produced a nonempty result. This enables the client
          program to take proper action without knowing whether the
          query was a SELECT (or
          SELECT-like) statement. The
          example shown here illustrates how this may be done.
        
See Section 3.6.7, “NULL mysql_store_result() Return After mysql_query() Success”.
MYSQL_RES *result;
unsigned int num_fields;
unsigned int num_rows;
if (mysql_query(&mysql,query_string))
{
    // error
}
else // query succeeded, process any data returned by it
{
    result = mysql_store_result(&mysql);
    if (result)  // there are rows
    {
        num_fields = mysql_num_fields(result);
        // retrieve rows, then call mysql_free_result(result)
    }
    else  // mysql_store_result() returned nothing; should it have?
    {
        if (mysql_errno(&mysql))
        {
           fprintf(stderr, "Error: %s\n", mysql_error(&mysql));
        }
        else if (mysql_field_count(&mysql) == 0)
        {
            // query does not return data
            // (it was not a SELECT)
            num_rows = mysql_affected_rows(&mysql);
        }
    }
}
          An alternative (if you know that your query should have
          returned a result set) is to replace the
          mysql_errno(&mysql) call
          with a check whether
          mysql_field_count(&mysql)
          returns 0. This happens only if something went wrong.