Any attempt to use (a variable set to) NaN for anything, including numerical comparison with anything, including another (variable set to) NaN, or implicitly with either true or false in a conditional statement, should cause an exception.
It is the numerical equivalent of dereferencing a null pointer.
The only tests of NaN that (possibly) should not cause an exception, are for numerical equivalence with a predefined constant NaN, or (perhaps) stringified equivalence to a predefined constant NaN.
Even comparison of one variable set to NaN with another variable set to NaN should raise an exception because to do otherwise would be equivalent to allowing:
char *a = null, *b = null;
if( ! strcmp( a, b ) ) {
printf( "They are the same string\n";
}
Examine what is said, not who speaks -- Silence betokens consent -- Love the truth but pardon error.
"Science is about questioning the status quo. Questioning authority".
In the absence of evidence, opinion is indistinguishable from prejudice.
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