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Re: [Bug-apl] Floating-point random number function


From: Louis de Forcrand
Subject: Re: [Bug-apl] Floating-point random number function
Date: Sat, 1 Jul 2017 04:39:44 +0200

?0 would be a good extention wouldn't it? I don't have access to an interpreter 
but I would guess that it gives a domain error right now.

Cheers,
Louis

> On 1 Jul 2017, at 01:20, Christian Robert <address@hidden> wrote:
> 
> You are right !
> 
> Xtian.
> 
>> On 2017-06-30 16:48, Frederick Pitts wrote:
>> Xtian,
>>    Actually the function you present returns the type of the
>> argument, not the prototype, as per
>>        Type <=> ↑0ρ⊂R
>> on page 46 of IBM's "APL2 Programming: Language Reference".  The
>> prototype is the type of the first element of R, i.e.,
>>        Prototype <=> ↑0⍴⊂↑R
>> Regards,
>> Fred
>>> On Fri, 2017-06-30 at 00:33 -0400, Christian Robert wrote:
>>> I don't know, your "(res+V×0)" is probably the way to go for that
>>> purpose, I'm not an expert but I understand what you mean.
>>> 
>>> I have an alias defined as:
>>> 
>>>     proto←{↑0⍴⊂ ⍵}
>>> 
>>> that give me the prototype of the argument (use with: 24 QuadCR proto
>>> w). It will probably not help you but good to know.
>>> 
>>> 
>>> Xtian.
>>> 
>>>> On 2017-06-30 00:24, Elias Mårtenson wrote:
>>>> The purpose of it is to preserve the structure of the argument,
>>>> while setting all values to MAXINT.
>>>> 
>>>> Is there a better way to achieve this?
>>>> 
>>>> Regards,
>>>> Elias
>>>> 
>>>> On 30 June 2017 at 12:21, Christian Robert <address@hidden
>>>> l.ca <mailto:address@hidden>> wrote:
>>>> 
>>>>     On 2017-06-30 00:19, Elias Mårtenson wrote:
>>>> 
>>>>         Thanks. I'll stick with this for now then.
>>>> 
>>>>         How would (res+V×0) wrap around, by the way?
>>>> 
>>>> 
>>>>     Bad first reading, (res+V×0) does nothing, it add 0 to "res".
>>>> How is it usefull ?
>>>> 
>>>>     Xtian.
>>>> 
>>>> 
>>>> 
>>>>         On 30 June 2017 at 12:17, Christian Robert <christian.rober
>>>> address@hidden <mailto:address@hidden> <mailto:christian
>>>> address@hidden <mailto:address@hidden>>> wrote:
>>>> 
>>>>              I think this is the best you can get, about 62 bits of
>>>> randomness.
>>>> 
>>>>                     (64⍴2) ⊤⎕syl[20;2] ⍝ the largest 64 bits
>>>> integer supported by gnu-apl
>>>>              0 1 1 1 1 1 1 1 1 0 1 0 1 1 0 0 1 1 1 1 0 1 1 1 0 1 0
>>>> 0 0 0 0 1 1 0 0 1 1 1 0 1 1 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
>>>> 0 0 0
>>>> 
>>>>              so, it's a bit less than 63 bits, say 62 bits for
>>>> safety is Ok.
>>>> 
>>>>              Note that (res+V×0) may wrap around.
>>>> 
>>>>              Xtian.
>>>> 
>>>>              On 2017-06-29 23:23, Elias Mårtenson wrote:
>>>> 
>>>>                  I had a need to have a function that does the same
>>>> as monadic ?, but with the difference that the resulting numbers
>>>> not be integers, but floating point.
>>>> 
>>>>                  Now, here's my attempt at creating such a
>>>> function, I'd like to know if this is the best way to achieve what
>>>> I need:
>>>> 
>>>>                  ∇ r←*hrRand* V ;res
>>>>                      ⍝⍝ Like monadic ?, but returns floating point
>>>> numbers
>>>>                      res ← ⎕SYL[19+⎕IO;1+⎕IO]
>>>>                      r ← V × res÷⍨ ?res+V×0
>>>>                  ∇
>>>> 
>>>>                  Example:
>>>> 
>>>>                  *      hrRand 3 2 ⍴ 10 100 5 (3 4 (2 2⍴5)) 1000*
>>>>                  ┏→━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
>>>> ━━━━━━━━━━━━━━━━━━━━━━━━━━━┓
>>>>                  ↓ 4.138685128 <tel:4.138685128> <tel:4.138685128
>>>> <tel:4.138685128>>
>>>>   54.55782413 ┃
>>>>                  ┃  0.4543486424           ┏→━━━━━━━━━━━━━━━━━━━━━━
>>>> ━━━━━━━━━━━━━━━━━━━━━━━━━━┓┃
>>>>                  ┃                         ┃2.024528001
>>>> <tel:2.024528001> <tel:2.024528001 <tel:2.024528001>> 2.772781338
>>>> ┏→━━━━━━━━━━━━━━━━━━━━━━┓┃┃
>>>>                  ┃                         ┃
>>>>  ↓3.185551114 <tel:3.185551114> <tel:3.185551114 <tel:3.185551114>>
>>>> 3.13571477 ┃┃┃
>>>>                  ┃                         ┃
>>>>  ┃1.204617876 4 <tel:1.204617876%204>
>>>> <tel:204617876%204>.396324338┃┃┃
>>>>                  ┃                         ┃
>>>>  ┗━━━━━━━━━━━━━━━━━━━━━━━┛┃┃
>>>>                  ┃                         ┗∊━━━━━━━━━━━━━━━━━━━━━━
>>>> ━━━━━━━━━━━━━━━━━━━━━━━━━━┛┃
>>>>                  ┃634.0902523
>>>>                 9.353801479┃
>>>>                  ┗∊∊━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
>>>> ━━━━━━━━━━━━━━━━━━━━━━━━━━━┛
>>>> 
>>>>                  Regards,
>>>>                  Elias
>>>> 
>>>> 
>>>> 




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