What is result of comparison of double and NaN?

I have the following program:

#include <iostream>
#include <cmath>

int main() {
    double a = 1;
    double b = nan("");

    std::cout << (a > b) << std::endl;
    std::cout << (b > a) << std::endl;

    return 0;
}

Output:

0
0

In general from the meaning of nan - not a number it is clear that any operation with nan is essentially pointless. From IEEE-754 that I found in internet I found what if in FPU at least one of operands is nan the result is also nan, but I found nothing about comparison between normal value and nan as in example above.

What does standard say about it?