I want to set my function with class object parameter set as default. But when I try to do that it fails in compilation.
class base {
 // ...
};
int myfunc(int a, base b = NULL) {
    if (NULL = b) {
        // DO SOMETHING
    } else {
    // DO SOMETHING
    }
}
Here when i am trying to compile it, this gives me error that "Default Argument base b have int type"
Objects can't be NULL in C++. 
To set the parameter to default, just use:
int myfunc(int a, base b = base())
                        You have three obvious options here.
First, use overloads so the caller can choose to pass b or not.
int myfunc(int a) { ... }
int myfunc(int a, base& b) { ... }
This way you can pass b without having to use a pointer. Note that you should make b a reference or pointer type to avoid slicing the object.
Secondly, if you don't want 2 separate implementations, make b a pointer, which can be set to NULL.
int myfunc(int a, base* b = NULL) { ... }
Third, you could use something to encapsulate the concept of nullable, such as boost::optional.
int myfunc(int a, boost::optional<base&> b = boost::optional<base&>()) { ... }
                        @tenfour answer forgot to mention another possible way. You also define a global variable object which you can construct as you like, then set it as the default value:
#include <iostream>
class MyCustomClassType
{
  int var;
  friend std::ostream &operator<<( 
        std::ostream &output, const MyCustomClassType &my_custom_class_type )
  {
    output << my_custom_class_type.var;
    return output;
  }
};
// C++11 syntax initialization call to the default constructor
MyCustomClassType _my_custom_class_type{};
void function(MyCustomClassType my_custom_class_type = _my_custom_class_type) {
  std::cout << my_custom_class_type << std::endl;
}
/**
 * To build it use:
 *     g++ -std=c++11 main.cpp -o main
 */
int main (int argc, char *argv[]) {
  function();
}
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