First, the code claims to be returning "unsigned long" from each of these functions, but the value will only ever be 0 or 1 (see [1]). The code is actually throwing away the result and just returning whether overflow occurred. If we take unsigned long *c as another argument to the function, so that we actually keep the result, we end up having to issue an extra instruction for multiplication (see [2]; I'm ignoring the sd instruction since it is simply there to dereference the *c pointer and wouldn't exist if the function got inlined).
Second, this is just unsigned overflow detection. If we do signed overflow detection, now we're up to 5 instructions for add and mul (see [3]). Considering that this is the bigger challenge, it compares quite unfavorably to architectures where this is just 2 instructions: the operation itself and a branch against a condition flag.
That's fair. The good news is that for signed overflow, you can claw back to the cost of unsigned overflow if you know the sign of either argument (which is fairly common).
I think in the case of MIPS, at least, the decision logic was simply: condition flags behave like an implicit register, making the use of that register explicit would complicate the instruction encoding, and that complication would be for little benefit since most compilers ignore flags anyway, except for situations which could be replaced with direct tests on the result(s).
+1 -- misinformation is best corrected quickly. If not, AI will propagate it and many will believe the erroneous information. I guess that would be viral hallucinations.
One can quickly correct misinformation without being rude. It's not hard, and does not lessen the impact of the correction to do so. There's no reason to tolerate the kind of rudeness the parent post exhibits.
this just isn't true. both addition and multiplication can check for overflow in <2 instructions.