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


From: Christian Robert
Subject: Re: [Bug-apl] Floating-point random number function
Date: Fri, 30 Jun 2017 00:33:16 -0400
User-agent: Mozilla/5.0 (Windows NT 10.0; WOW64; rv:52.0) Gecko/20100101 Thunderbird/52.2.1

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 
<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 <address@hidden <mailto:address@hidden> 
<mailto: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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