OpenMP and #pragma omp atomic

Try to change sum = sum + 4.0/( 1. + x*x ) to sum += 4.0/(1.+ x*x) , But I'm afraid this won't work either. You can try to split the work like this:

x = (i + .5)*step;
double xx = 4.0/(1.+ x*x);
#pragma omp atomic //this part contains error
sum += xx;

this should work, but I am not sure whether it fits your needs.

Your program is a perfectly syntactically correct OpenMP code by the current OpenMP standards (e.g. it compiles unmodified with GCC 4.7.1), except that x should be declared private (which is not a syntactic but rather a semantic error). Unfortunately Microsoft Visual C++ implements a very old OpenMP specification (2.0 from March 2002) which only allows the following statements as acceptable in an atomic construct:

x binop= expr
x++
++x
x--
--x

Later versions included x = x binop expr, but MSVC is forever stuck at OpenMP version 2.0 even in VS2012. Just for comparison, the current OpenMP version is 3.1 and we expect 4.0 to come up in the following months.

In OpenMP 2.0 your statement should read:

#pragma omp atomic
sum += 4.0/(1.+ x*x);

But as already noticed, it would be better (and generally faster) to use reduction:

#pragma omp parallel for private(x) reduction(+:sum)
for (i=0; i<num_steps; i++)
{ 
    x = (i + .5)*step;
    sum = sum + 4.0/(1.+ x*x);  
}

(you could also write sum += 4.0/(1.+ x*x);)