Re: [Qemu-devel] [PATCH v1] softfloat: add float128_is_{normal, denormal}

[David Hildenbrand]

On 06.02.19 04:08, Richard Henderson wrote:
> On 2/5/19 4:22 PM, David Hildenbrand wrote:
>> +static inline bool float128_is_normal(float128 a)
>> +{
>> +    return ((a.high + (1ULL << 47)) & -1ULL >> 1) >= 1ULL << 48;
> 
> I believe this is off by one: 1 << 48 and >= 1 << 49.
> 
> The exponent is at [62:48].  The trick is adding 1, letting Inf+NaN overflow
> into the sign, masking out the sign, and checking that the result >= 2 to
> eliminate Inf+NaN (0) and Zero+Denormal (1).

Right, the exponent must not be 0 or all 1's. so after adding 1, it must
be >=2.

Yesterday it all made sense on my sheet of paper :) Let's verify against
float64

float64 has an exponent of 11:

return ((float64_val(a) + (1ULL << 52)) & -1ULL >> 1) >= 1ULL << 53;

float128 has an exponent of 15, the difference is 4. So 52 -> 48, 53 -> 49.

So you're right.

> 
> I think this is clearer as
> 
>   (((a.high >> 48) + 1) & 0x7fff) >= 2.>
> It might be worth applying this to the other formats for clarity...
> 

Yes, this makes it much clearer, will send a patch for the others as
well, thanks!

> 
> r~
> 


-- 

Thanks,

David / dhildenb