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).

I think this is clearer as

  (((a.high >> 48) + 1) & 0x7fff) >= 2.

It might be worth applying this to the other formats for clarity...


r~

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