Jürgen,
This message is being resent because last minute changes I made
to CRS0.apl and CRS1.apl do not output thedata I intended. This
message has corrected versions of those files attached. Please discard
the old CRS0.apl and CRS1.apl files. The first line of output is the
modulo basis
Hello Jürgen,
SVN 964 moved us in the right direction but not completely out
of thewoods. SVN 964 still exhibits errors. For instance
2J6 | 5J5¯1J7 2J6 | ¯1J7¯3J1 2J6 | ¯3J1¯3J1
I found this and previous residue function errors using the
attached APLcode files. Th
I guess APL standard is really bad in this regard.
Dyalog APL gives the following:
Dyalog APL/S-64 Version 15.0.27700
Unicode Edition
Tue Jun 20 10:46:08 2017
5J3|14J5
1J4
5J3|1J4
¯4J1
5J3|¯4J1
¯4J1
which coincides with the previous gnu apl result.
> On Jun 20, 2017, at 3:02 AM,
Hi Frederick,
the algorithm for A ∣ B used in GNU APL is this:
- compute the
quotient Q←B÷A,
- "round down" Q to the next (complex) integer Q1,
- return B - Q1×A
Now the problem seems to be what is meant by "round down". Th
You are right of course. I forgot about that part.
Speaking of which, I have often wished that - and ÷ behaved the same. I'm
really glad that ⍨ exists.
On 20 June 2017 at 16:15, Jay Foad wrote:
> You need to swap the arguments; "⍺|⍵" in APL is "⍵ mod ⍺" or "⍵ rem ⍺" or
> "⍵ % ⍺" in most other s
You need to swap the arguments; "⍺|⍵" in APL is "⍵ mod ⍺" or "⍵ rem ⍺" or
"⍵ % ⍺" in most other systems.
On 20 June 2017 at 09:11, Elias Mårtenson wrote:
> Wolfram Alpha tells me it should be 5J3:
>
> https://www.wolframalpha.com/input/?i=(5%2B3i)+mod+(14%2B5i)
>
> Regards,
> Elias
>
> On 20 Jun
Wolfram Alpha tells me it should be 5J3:
https://www.wolframalpha.com/input/?i=(5%2B3i)+mod+(14%2B5i)
Regards,
Elias
On 20 June 2017 at 16:02, Jay Foad wrote:
> With the demo version of APL2 I get:
>
> 5J3 ∣ 14J5
> ¯4J1
> 5J3 | 1J4
> ¯4J1
> 5J3 | ¯4J1
> ¯4J1
>
> Jay.
>
> On 1
With the demo version of APL2 I get:
5J3 ∣ 14J5
¯4J1
5J3 | 1J4
¯4J1
5J3 | ¯4J1
¯4J1
Jay.
On 19 June 2017 at 18:03, Frederick Pitts wrote:
> Jürgen,
>
> With gnu apl (svn 961 on Fedora 25, Intel(R) Core(TM) i7-6700
> CPU), the residue function (∣) yields the following:
I hadn't heard of "complete residue systems" before. Perhaps another way of
saying the same thing is: f←{5J3|⍵} should be idempotent, so (f ⍵)≡f f ⍵
for any ⍵ ... ?
Jay.
On 19 June 2017 at 18:03, Frederick Pitts wrote:
> Jürgen,
>
> With gnu apl (svn 961 on Fedora 25, Intel(R) Core(TM)
