HaloO,
John M. Dlugosz wrote:
I don't know why he's calling it an "Int with non-uniform spacing"
unless he is complaining about what happens when you store ints in
floats: it rounds off to the mantissa size.
With uniform spacing you have
constant $step = 1;
and
$x++; # means $x = $x +
On 2008 Jun 3, at 4:19, John M. Dlugosz wrote:
Jon Lang dataweaver-at-gmail.com |Perl 6| wrote:
e .
Learn from the Haskell folks, who are still trying to untangle the
mess they
made of their numeric hierarchy (see
http://haskell.org/haskellwiki/Mathematical_prelude_discussion).
I'll loo
HaloO,
Mark J. Reed wrote:
In what the heck mathematical world is the square root of two an
infinite value? Irrationality and infinitude are not the same thing;
in particular, there are an (uncountably) infinite number of
irrational numbers...
I don't know what you accept as an infinity but t
Jon Lang dataweaver-at-gmail.com |Perl 6| wrote:
e .
Learn from the Haskell folks, who are still trying to untangle the mess they
made of their numeric hierarchy (see
http://haskell.org/haskellwiki/Mathematical_prelude_discussion).
I'll look it over. That said, note that we're not
Brandon S. Allbery wrote:
> John M. Dlugosz wrote:
>> Jon Lang wrote:
>>> type (i.e., 'num'). Somehow, I had got it into my head that Num was a
>>> role that is done by all types that represent values on the real
>>> number line, be they integers, floating-point, rationals, or
>>> irrationals. An
On 2008 Jun 3, at 3:15, John M. Dlugosz wrote:
Jon Lang dataweaver-at-gmail.com |Perl 6| wrote:
type (i.e., 'num'). Somehow, I had got it into my head that Num
was a
role that is done by all types that represent values on the real
number line, be they integers, floating-point, rationals, or
Jon Lang dataweaver-at-gmail.com |Perl 6| wrote:
; I see. We just had a role-vs-class cognitive disconnect.
Officially, Num is the autoboxed version of the native floating point
type (i.e., 'num'). Somehow, I had got it into my head that Num was a
role that is done by all types that represent v
Jon Lang dataweaver-at-gmail.com |Perl 6| wrote:
TSa wrote:
John M. Dlugosz wrote:
The sqrt(2) should be a Num of 1.414213562373 with the precision of the
native floating-point that runs at full speed on the platform.
That makes the Num type an Int with non-uniform spacing. E.g.
Ryan Richter wrote:
> Jon Lang wrote:
>> TSa wrote:
>> > John M. Dlugosz wrote:
>> >> The sqrt(2) should be a Num of 1.414213562373 with the precision of the
>> >> native floating-point that runs at full speed on the platform.
>> >
>> > That makes the Num type an Int with non-uniform spacing. E.g.
On Mon, Jun 02, 2008 at 11:50:20AM -0700, Jon Lang wrote:
> TSa wrote:
> > John M. Dlugosz wrote:
> >> The sqrt(2) should be a Num of 1.414213562373 with the precision of the
> >> native floating-point that runs at full speed on the platform.
> >
> > That makes the Num type an Int with non-uniform
On Fri, May 9, 2008 at 9:10 AM, TSa <[EMAIL PROTECTED]> wrote:
> E.g. sqrt(2) might return a special Inf that can be lazily
> stringified to an arbitrary long sequence of digits of sqrt(2).
In what the heck mathematical world is the square root of two an
infinite value? Irrationality and infinitu
TSa wrote:
> John M. Dlugosz wrote:
>> The sqrt(2) should be a Num of 1.414213562373 with the precision of the
>> native floating-point that runs at full speed on the platform.
>
> That makes the Num type an Int with non-uniform spacing. E.g. there
> are Nums where $x++ == $x. And the -Inf and +Inf
HaloO,
John M. Dlugosz wrote:
The sqrt(2) should be a Num of 1.414213562373 with the precision of the
native floating-point that runs at full speed on the platform.
That makes the Num type an Int with non-uniform spacing. E.g. there
are Nums where $x++ == $x. And the -Inf and +Inf were better
TSa Thomas.Sandlass-at-barco.com |Perl 6| wrote:
E.g. sqrt(2) might return a special Inf that can be lazily
stringified to an arbitrary long sequence of digits of sqrt(2).
???
The sqrt(2) should be a Num of 1.414213562373 with the precision of the
native floating-point that runs at full spe
HaloO,
I wrote:
John M. Dlugosz wrote:
> I wrote a complete treatment of Inf support.
> Please take a look at "24.26 Infinite" on pages 116-119, and
> "3.11.3 Infinities" on pages 26-27.
I have a lot to say to that. Please give me time.
I find your treatment of Inf too Num centric. E.g. al
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