Re: What Algorithims are used for IEEE Mathematical and Inquiry Intrinsic Procedures
- From: glen herrmannsfeldt <gah@xxxxxxxxxxxxxxxxxxxxxxxx>
- Date: Tue, 2 May 2006 17:35:17 +0000 (UTC)
Herman D. Knoble <SkipKnobleLESS@xxxxxxxxxxxxxxx> wrote:
My question, however, is not whether softare, firmware, or hardware,
or combinations thereof are used for evluating the trancendental
and other functions; I'm asking whether anyone knows where one might
find, not the opcodes nor machine instructions nor register formats,
but the (mathematical) algorithms (e.g., what polynomial expansions,
what newton raphson iteraton, etc.) used to implement them?
(snip)
Some of the details were in the appendix G, though not quite
as detailed as we might like.
The IBM manuals didn't always give the polynomial coefficients,
referencing the source code if you needed them.
There were stories about the extended precision (128 bit) functions
using some special new methods for finding the coefficients, which
they wanted to keep proprietary. Though some was documented in
an IBM Systems Journal article.
As I understand it from the 8087 through the floating point processor
in the 80486 it was pretty much CORDIC. Starting with the Pentium,
they went more toward the usual polynomial algorithms.
There might be more details in the patents that probably exist for
some of these. There are stories about the microcode for HP calculators
in some of the patents.
The OS/360 PL/I library algorithms are in:
http://www.bitsavers.org/pdf/ibm/360/pli/C28-6590-0_PLIcompuSbr_1966.pdf
It might be that the Fortran version hasn't been scanned yet.
I might have the VS Fortran version in paper form to scan and send
to bitsavers.
-- glen
.
- Follow-Ups:
- Re: What Algorithims are used for IEEE Mathematical and Inquiry Intrinsic Procedures
- From: Herman D . Knoble
- Re: What Algorithims are used for IEEE Mathematical and Inquiry Intrinsic Procedures
- References:
- What Algorithims are used for IEEE Mathematical and Inquiry Intrinsic Procedures
- From: Herman D . Knoble
- Re: What Algorithims are used for IEEE Mathematical and Inquiry Intrinsic Procedures
- From: glen herrmannsfeldt
- Re: What Algorithims are used for IEEE Mathematical and Inquiry Intrinsic Procedures
- From: Herman D . Knoble
- What Algorithims are used for IEEE Mathematical and Inquiry Intrinsic Procedures
- Prev by Date: Re: What Algorithims are used for IEEE Mathematical and Inquiry Intrinsic Procedures
- Next by Date: Re: What Algorithims are used for IEEE Mathematical and Inquiry Intrinsic Procedures
- Previous by thread: Re: What Algorithims are used for IEEE Mathematical and Inquiry Intrinsic Procedures
- Next by thread: Re: What Algorithims are used for IEEE Mathematical and Inquiry Intrinsic Procedures
- Index(es):
Relevant Pages
|
