Anyhow, it is a stupid function. The only thing which makes sense is
to talk about the difference between the two numbers being less than
2^-p (although it would be easier to say <= 2^-p),

Bill.

2009/8/3 Bill Hart <[email protected]>:
> The exponents certainly should make a difference.
>
> 256 = 1.000*2^8
> 128 = 0.100*2^8
>
> And I agree that the top 7 bits of 256 and 257 are equal.
>
> 256 = 1.00000000x2^8
> 257 = 1.00000001x2^8
>
> But 255 and 256 are different according to the current definition.
>
> 255 = 0.11111111x2^8
> 256 = 1.00000000x2^8
>
> But I disagree with GMP about the top zero bits. If they are not the
> same, which of those zero bits differ?
>
> I suppose one could say all of them. But then you'd have to always return 
> false.
>
> Bill.
>
> 2009/8/3 Jason Moxham <[email protected]>:
>>
>> It's not that obvious because this is the definition
>>
>> -- Function: int mpf_eq (mpf_t OP1, mpf_t OP2, unsigned long int op3)
>>     Return non-zero if the first OP3 bits of OP1 and OP2 are equal,
>>     zero otherwise.  I.e., test if OP1 and OP2 are approximately equal.
>>
>>     Caution: Currently only whole limbs are compared, and only in an
>>     exact fashion.  In the future values like 1000 and 0111 may be
>>     considered the same to 3 bits (on the basis that their difference
>>     is that small).
>>
>> This definition is not clear either !!!! according to the above  256 and 128
>> are equal to within 3 bits , but the function returns not equal (both old and
>> new gmp). For 0 bits the new gmp doesn't always return true , the
>> signs,exponents also have to be the same.
>>
>> eg currently and in the new gmp
>>
>> 256 and 257 are equal to 0,1,2,3,..7 bits and not equal to 8,9,... bits
>> 256 and 255 are not equal to 0,1,2,... bits
>>
>>
>>
>> On Monday 03 August 2009 02:50:41 Bill Hart wrote:
>>> I think we always return true. Everything is true of the empty set.
>>>
>>> Bill.
>>>
>>> 2009/8/2 Jason Moxham <[email protected]>:
>>> > I've fixed the current mpf_eq error , the only question that remains is
>>> > what to do in the case when nbits=0
>>> > ie are the top 0 bits of two mpf's equal ?  do we always return true ?
>>> > even when the two mpf are complete differnent signs/sizes etc
>>> >
>>> > Jason
>>> >
>>> > On Friday 17 July 2009 05:59:51 Bill Hart wrote:
>>> >> If we replaced it with MPFR we'd be stuck at the current version, as
>>> >> they are changing license.
>>> >>
>>> >> There are also lots of projects out there which currently use GMP and
>>> >> MPFR. It would be a minor problem to include MPFR in MPIR because of
>>> >> symbol clashes. I'm not really in favour of the idea. Besides that
>>> >> floating point arithmetic is not really my domain. The first time I
>>> >> ever knowingly used MPFR was when I ported that code to C for Kristin.
>>> >>
>>> >> Bill.
>>> >>
>>> >> 2009/7/17 Jason Moxham <[email protected]>:
>>> >> > I hear there is a another mpf error , we should fix this. It's looks
>>> >> > like it's been in the code since the year dot . Look at all the errors
>>> >> > in GMP/MPIR from the last two/three years , most are
>>> >> > compiler/configure or mpf errors. I would vote to get rid of the mpf
>>> >> > layer , but we have to keep it for backward compatibility ;( , How
>>> >> > about replacing it with mpfr and add a wrapper for the three and half
>>> >> > people who use the mpf layer.
>>> >> >
>>> >> > Jason
>>>
>>>
>>
>>
>> >>
>>
>

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