On Mon, 12 Aug 2013 01:16:46 +0200 Roland Mainz wrote:
> On Mon, Aug 12, 2013 at 12:28 AM, Roland Mainz <[email protected]> 
> wrote:
> [Removing [email protected]]
> > On Mon, Aug 12, 2013 at 12:14 AM, Roland Mainz <[email protected]> 
> > wrote:
> >> On Sun, Aug 11, 2013 at 10:57 PM, Roland Mainz <[email protected]> 
> >> wrote:
> >>> On Sun, Aug 11, 2013 at 6:15 PM, Cedric Blancher
> >>> <[email protected]> wrote:
> >>>> On 11 August 2013 10:43, Tina Harriott <[email protected]> 
> >>>> wrote:
> >>>>> On Wed, Jul 24, 2013 at 7:28 PM, Glenn Fowler <[email protected]> 
> >>>>> wrote:
> >>>>>> On Wed, 24 Jul 2013 19:02:39 +0200 Tina Harriott wrote:
> >> [snip]
> >>>>> But why does nextafter() misbehave if I want to use a datatype smaller
> >>>>> than "long double"? Accuracy is a good thing, but in this case we
> >>>>> iterate too fine-grained, meaning the code should iterate over the
> >>>>> smallest possible steps of a double, but not over the smallest
> >>>>> possible steps of a long double.
> >>>>
> >>>> Does anyone have a good idea how to fix this in ksh?
> >>>
> >>> Grumpf... yes. Technically I feared that day may come when
> >>> |nextafter()| and |nexttoward()| were added in ksh93... ;-/
> >>>
> >>> The issue is more or less like this: Both |nextafter(f|l|)\(\)| and
> >>> |nexttoward(f|l|)\(\)| step over the smallest possible quantity for
> >>> the specific { |float|, |double|, |long double| }-datatype and
> >>> therefore (for example) using |nextafterl()| (intended for |long
> >>> double|) for a |float| doesn't work because it does so small steps
> >>> that they cannot be represented in a |float| ... that causes the
> >>> endless loop in Tina's example.
> >>>
> >>> The fix would be to "remember" the datatype (e.g.  { |float|,
> >>> |double|, |long double| }) for a given variable and pass that down to
> >>> |arith_exec()| and call the specific version of |nextafter()| and
> >>> |nexttoward()| for that datatype, for example:
> >>> - variables declared via typeset -s -E/-X should use
> >>> |nextafterf()|/|nexttowardf()|
> >>> - variables declared via typeset    -E/-X should use
> >>> |nextafter()|/|nexttoward()|
> >>> - variables declared via typeset -l -E/-X should use
> >>> |nextafterl()|/|nexttowardl()|
> >>> ... if the platforms libc/libm do not have a matching
> >>> |nextafter(f|l|)\(\)|/|nexttoward(f|l|)\(\)| variant for the input
> >>> datatype then the "function not found"-error should be thrown.
> >>>
> >>> Note that we do _not_ have to change the logic for all math
> >>> functions... AFAIK |nextafter()| and |nexttoward()| are the only
> >>> exceptions which require special handling...
> >>>
> >>> Glenn: What do you think ?
> >>
> >> Attached (as "astksh20130807_short_float_nextafter001.diff.txt") is a
> >> _prototype_ patch which shows how it would look like:
> >> -- snip --
> >> $ ksh -c 'typeset -s -E x=4 ; print $(( x=nextafter(x,5) ))'
> >> 4.0000004768371582
> >> $ ksh -c 'typeset -E x=4 ; print $(( x=nextafter(x,5) ))'
> >> 4.00000000000000089
> >> $ ksh -c 'typeset -l -E x=4 ; print $(( x=nextafter(x,5) ))'
> >> 4 # this is not exactly 4 but it is so a tiny step away from 4 that
> >> normal %f output doesn't recognise it
> >> -- snip --
> >>
> >> * ToDo:
> >> - Add |nexttoward()| support
> >> - Add defines for type size (|float|, |double|, |long double|)
> >> - Add error code in case if one of the { |float|, |double|, |long
> >> double| }-variants is missing
> >> - Somehow make the code look better
> >>
> >> Comments/rants/feedback welcome...
> >
> > Grumpf... attached (as
> > "astksh20130807_short_float_nextafter002.diff.txt") is a fixed
> > patch... the previous one used |double| in case that the datatype of
> > the arguments couldn't be obtained... the patch corrects this and adds
> > support for |nexttoward()| ...

> More thought about this:
> src/cmd/ksh93/data/math.tab could return all three variants (for {
> |float|, |double|, |long double| }) and |fun| in |arith_exec()| would
> be a pointer to an array of these three variants. That would make the
> support for |float| and |double| generic and remove all the
> |if()|/|switch()| mess from the "hot" codepath...

> ... Glenn/David: What do you think ?

any fix should include math.tab and features/math.sh
I'll me with dgk shortly

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