Surely we are not putting QD back into Sage?

Anyhow, Mark Watkins said that for computing modular degrees you can
(probably) just use ordinary doubles.

Bill.

On 20 Aug, 22:10, David Kirkby <[email protected]> wrote:
> On 20 August 2010 21:09, Mike Hansen <[email protected]> wrote:
>
>
>
>
>
> > This was from Michael Abshoff from awhile back when he was working on
> > Sage and Solaris:
>
> > """
> >  * sympow: Here we are using Mark Watkins own quaddouble code and the
> > FPU mode setting code is basically busted. There are two ways how to
> > handle this: (a) Fix the FPU mode setting code by using Solaris
> > specific headers (b) rip out the quaddouble code and replace it with
> > MPFR. (a) might be less work in the short term, but (b) seems to be
> > the better long term solution since on Mips64 or Sparc for example
> > IEEE does act sufficiently different to cause trouble. At least the
> > examples we test on Sparc with sympow seem to compute correctly, but I
> > would not trust it at all until we use MPFR.
> > """
>
> > We had run into accuracy issues with Bailey's quaddouble in Sage on
> > Solaris when working on the number_of_partitions code.
>
> > --Mike
>
> Thanks Mike.
>
> I believe I now have a much better understanding of this, and why it
> affects only Cygwin and Solaris on 86. There is nothing to worry about
> with Solaris on SPARC.
>
> If one downloads the latest quad double package qd-2.3.11.tar.gz,
> there is a paper in the docs directory:
>
> "Library for Double-Double and Quad-Double Arithmetic∗
>         Yozo Hida†  Xiaoye S. Li‡ David H. Bailey‡
>                       May 8, 2008"
>
> In that it says:
>
> "Note on Intel x86 Processors. The algorithms in this library assume
> IEEE double precision
> floating point arithmetic. Since Intel x86 processors have extended
> (80-bit) floating point registers,
> the round-to-double flag must be enabled in the control word of the
> FPU for this library to function
> properly under x86 processors. The function fpu fix start turns on the
> round-to-double bit in
> the FPU control word, while fpu fix end will restore the original state."
>
> Both Solaris on x86 and Cygwin will *not* get this set with sympow,
> because it only attempts this if
>
> 1) The OS is Linux
> 2) The processor is x86.
>
> Neither Cygwin or Solaris x86 are consdiered to fall into this
> category by the Configure script.
>
> But on Solaris x86 at least, the QD package I downloaded builds and
> passes all tests. It uses a bit of inline assembly code to put thex
> FPU in the right mode. That should be pretty trivial I think. I should
> be able to create something that will work on both Solaris x86 and
> Cygwin.
>
> Dave

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