Rename Number.prototype.clz to Math.clz
Luke Wagner
luke at mozilla.com
Mon Jan 20 10:08:57 PST 2014
It seems to me that we *must* have Math.clz perform ToUint32() on its input. Otherwise (if ToInt32() is used), even if the expression is written "Math.clz(x >>> 0)", asm.js/type-inference won't be able to optimize away the <0 branch since the ToInt32() in the semantics of Math.clz will convert a large unsigned integer argument into a negative integer.
Secondly, I think clz(0) should be 32, not 0:
- for x86's bsr, since the result is undefined if the input is zero, we need a branch or cmov *anyway* to deal with zero.
- to make up for bsr's shortcomings, newer x86 chips have lzcnt (which JITs can emit after testing the right cpuid bit), which defines clz(0) == 32.
- ARM's clz also defines clz(0) == 32.
The only reason not to do this I could imagine is if there was a de facto standard among all x86 chips (such that the JIT could rely on it) to have bsr(0) == 0, but I couldn't find any evidence of this.
Cheers,
Luke
----- Original Message -----
> Adam Ahmed wrote:
> > Just noting that this actually works:
> > Math.ceil(Math.log(0 + 1) / Math.LN2) === 0
> >
> > However:
> > Math.ceil(Math.log(-1 + 1) / Math.LN2) === -Infinity
>
> That's pretty sweet, but then try -2 or -3 or below and you get NaN.
>
> > Not sure how that affects a Negative NaN-cy option :)
>
> Heh.
>
> I think we should make sure (per Jason and Jens) that, given type
> inference or asm.js-style type-checking, we can select a single common
> machine instruction. After that, we should consider more abstract
> "prettiness" properties such as the one you show for -1. And given the
> -Infinity then NaN inconsistency, perhaps NaN wins. But Jens' point
> about Infinity (bit length in two's complement infinite precision of any
> negative number) is strangely compelling.
>
> Need to hear from type-inference and asm.js gurus. Cc'ing a few. The
> issue is, given
>
> Math.bitlen(x)
>
> where x has inferred type int32, what do we need in the way of a guard
> for negative values? We need something, we cannot use BSR directly
> without getting 32 for -1.
>
> /be
>
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