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Mail Archives: djgpp-workers/1999/06/13/04:09:27

Date: Sun, 13 Jun 1999 11:06:15 +0300 (IDT)
From: Eli Zaretskii <eliz AT is DOT elta DOT co DOT il>
X-Sender: eliz AT is
To: Eric Rudd <rudd AT cyberoptics DOT com>
cc: djgpp-workers AT delorie DOT com
Subject: Re: libm sources from cyberoptics
In-Reply-To: <375EAF11.AC19F985@cyberoptics.com>
Message-ID: <Pine.SUN.3.91.990613110509.17906B-100000@is>
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Reply-To: djgpp-workers AT delorie DOT com
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On Wed, 9 Jun 1999, Eric Rudd wrote:

> Eli Zaretskii wrote:
> 
> > Perhaps you could send me your object files.  I will then compare them
> > with mine, and we will take it from there.
> 
> > > I have documentation for sincos and powi at home, which I'll send to you
> > > tomorrow.
> 
> Attached is a ZIP file with acos.o, asin.o, and the docs for sincos
> and powi.

1) About asin and acos returning NaN:

This seems to be due to some subtle differences between Gas from
Binutils 2.7 and from 2.8.1, perhaps a bug in the former.  Here's a
fragment from the diffs between your asin.o and mine, as disassembled
by `objdump':

    ***************
    *** 16,22 ****
      0000001e <argok+8>  d9 e8  fld1   
      00000020 <argok+a>  de c2  faddp  %st,%st(2)
      00000022 <argok+c>  d9 e8  fld1   
    ! 00000024 <argok+e>  de e9  fsubrp %st,%st(1)
      00000026 <argok+10> de c9  fmulp  %st,%st(1)
      00000028 <argok+12> d9 fa  fsqrt  
      0000002a <argok+14> d9 f3  fpatan 
    --- 16,22 ----
      0000001e <argok+8>  d9 e8  fld1   
      00000020 <argok+a>  de c2  faddp  %st,%st(2)
      00000022 <argok+c>  d9 e8  fld1   
    ! 00000024 <argok+e>  de e1  fsubp  %st,%st(1)
      00000026 <argok+10> de c9  fmulp  %st,%st(1)
      00000028 <argok+12> d9 fa  fsqrt  
      0000002a <argok+14> d9 f3  fpatan 

This difference is the reason for the NaN, because instead of 1-x on
the stack top after FSUBRP, like what you wanted, I get x-1.

I'm not sure whether this is a bug in Gas or something else.  One
thing that confuses me is that I don't understand how your code was
supposed to work.  As far as I know, "fsubrp %st(1), %st" means
"compute st - st(1), store the result in st, then pop the stack".  But
if this is true, then the result is gone after the stack is popped,
no?  Am I missing something here?

There are other places in your code that use FSUBRP, but they all seem
to assemble and work correctly, and they all use the FP registers in a
way that is consistent with my understanding.  For example, here is a
fragment from acosh.S:

	fld1				/* 1	 x   x	 ln2 */
	fsubrp	%st,%st(1)		/* x-1	 x   ln2     */

If my interpretation is correct, perhaps Gas 2.7 cannot cope with this
situation, while Gas 2.8.1 silently emits the correct instruction?

Anyway, even if this is because of a bug in Gas 2.7, it would be nice
if the code could assemble with both versions, if that is possible
without paying too much.

2) exp2 and exp10: I checked again, and they indeed set errno for the
   last two Elefunt tests.  The original test program didn't do that
   because I failed to see that your source defines __pow2, not pow2,
   and the one-pass operation of the linker got me by linking in the
   old version from stock libc.a.

Provided we find a solution to asin and acos, this leaves the
following issues:

  - should denormals raise ERANGE?
  - should sqrt(-0.0) and log(-0.0) return the same as for positive
    zero?
  - should ceil, fabs, floor, and frexp set errno for NaN arguments?
  - storing old control word on the stack as opposed to static data,
    in those functions that modify the control word;
  - docs.

I did whatever is necessary for the docs part.  I send it for your
review in a separate message.

As for the other items, given the different opinions heard during the
discussion about them, how would you suggest to go about each one?

I have a few more comments/questions, after reading the code some
more:

  - hypot doesn't set errno if the result overflows a double (e.g., if
    both arguments are DBL_MAX).  Is this intentional?  If not,
    perhaps the final value should be checked for being an Inf, and
    errno set to ERANGE.  The same applies to ldexp.

  - log2 doesn't set errno to ERANGE for zero arguments, although log,
    log10 and log1p all do.  I think log2 should behave like the other
    log's.

  - shouldn't pow set errno to ERANGE when the second argument is Inf
    and the result is an Inf?

If we come to an agreement quickly enough, we might be in time for
v2.03 (which is all but ready, except for some last-minute
administrative changes in the build process that DJ asked me to do).

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