Creating complex infinity with std::complex<T> in C++

I'm trying to create a complex infinity equal to Inf+Inf*j where j is the complex variable. When I do this :

#include <complex>
#include <limits>
using std;

...

complex<double> attempt1 =
   complex<double>( numeric_limits<double>::infinity(),
                    numeric_limits<double>::infinity() );

returns the complex number (NaN + Inf*j).

But

complex<double> attempt2 =
   complex<double>( numeric_limits<double>::infinity() );

returns the complex number (Inf + 0*j).

Also :

complex<double> attempt_at_imag_inf =
   complex<double>(any_value_here, numeric_limits<double>::infinity());

returns the complex number (NaN + Inf*j).

Does anybody know what's going on here? Any time I attempt to have infinty for the imaginary part, then NaN is written on the real part.

The above only applies to types that support NaN and Infinity of course. I am using g++ v4.6.1. I've looked at the numeric_limits header and there is no indication that the above should happen at all.

To put the above into context, I'm actually doing the above in a partial specialization of numeric_limits for complex. Many thanks for considering this problem.

REVISION TO ORIGINAL POST

I'm providing a complete but short program to illustrate the problem. I've also included some more qualifying information on how the program should be compiled to generate the results.

#include <iostream>
#include <complex>
#include <limits>

using namespace std;

int main(int argc, char* argv[])
{

   complex<double> my_complex_inf =
      complex<double>(numeric_limits<double>::infinity(),
                      numeric_limits<double>::infinity());

   cout << "my_complex_inf = " << my_complex_inf << endl;

   complex&l