(DM42) Lottery number generator programming
02-10-2019, 09:54 AM
Post: #1
 psw Junior Member Posts: 3 Joined: Feb 2019
(DM42) Lottery number generator programming
Hello,

I am a sheer beginner of DM42 programming and interesting in a simple and useful program. Today I conceive something like the random number generator and show sets of integers on DM42/Free42 or HP-42S. In short, Linux command:
Code:
shuf -i 1-Y -n X
but I can't translate some parts.

By the way, this program would suggest horse racing Trio BOX or Lotto 7 (which I don't buy them so often.)
I wish you could help me to improve this idea.

Sample select 4 nominations from 18 horses. Y=18 X=4

--- X and Y register into R0 and R1
STO 00
R↓
STO 01

--- Random Number Part to store into Alpha memory
LBL "RNG"
DATE
TIME
x
SEED
RAN
RCLx 01
IP

-- Verify given numbers are not the same each other. (This is going to mess my brain)
x=y?
R↓
ASTO
GTO "RNG"

---Loop for X times
LBL "LOOP"
1
STO- 00
RCL 00
X≤0?
RTN
AVIEW
END

How you combine or improve these, I only know a little about 8-bit BASIC.
Thank you for reading and I look forward to hearing your great help.

Best regards,
02-11-2019, 07:35 PM (This post was last modified: 02-11-2019 07:45 PM by Dieter.)
Post: #2
 Dieter Senior Member Posts: 2,397 Joined: Dec 2013
RE: (DM42) Lottery number generator programming
(02-10-2019 09:54 AM)psw Wrote:  I am a sheer beginner of DM42 programming and interesting in a simple and useful program.
...
How you combine or improve these, I only know a little about 8-bit BASIC.
Thank you for reading and I look forward to hearing your great help.

I see this is your first post here, so welcome to the forum.

Regarding the intended program, I think we have to start from scratch here. There seem to be several misconceptions about various DM-42 (or Free42, or HP-42s) commands. For instance it is not a good idea at all to seed the random number generator before every single RAN call. Essentially you can forget about SEED unless you want to reproduce a certain random number sequence. Also your code would not generate integers between 1 and 18 but between 0 and 17 – you have to add 1 here. Then there are loop counters DSE and ISG so that manually decrementing R00 and checking whether it is > 0 or not is not required. This works like a FOR-loop in other programming languages. Finally ASTO does not store a value into Alpha, but it stores the first six characters of Alpha into the specified register (that's why the command then reads ASTO 03 or ASTO ST X or whatever). So the code snippets you posted will not work, neither separately nor combined.

OK, let's forget about all this. The program you want would have to behave like this:

Code:
Generate X random integers between 1 and Y Do the following loop X times    Generate a random integer R between 1 and Y    If this is the first loop, skip the following test       For all previous random integers          Check if R equals one of these          If it does, jump back to the main loop and generate a new random integer          Proceed to next previously calculated random integer       End of test loop    At this point no match has occured, so save R in the result list    Append R to the output string End of main loop Display output string

The following Free42 program implements this algorithm. The max. random integer Y is stored in "MAX", flag 01 is used to mark the first loop, it is automatically cleared when tested, and the loops are controlled by ISG and DSE. The loop counter is in R00, the test loop counter is on the stack. The random integers are stored in R01, R02, R03 etc. If, say, the 4th number has been calculated, the program compares this to R03, R02 and R01 to see whether there are duplicates. If there are, a new number is calculated. If not, the new R is stored in the respective register, here R04. The first two lines correct input errors ("18 different numbers out of 4" instead of vice versa) and the final lines restore the original Y and X and remove "MAX" (cleanup). This way you can repeat the whole thing by simply pressing [R/S].

This program can be optimized. For instance the whole flag thing can be removed. ;-) But it is more clear this way. Now take a look at the program and ask everything you don't understand.

Code:
00 { 90-Byte Prgm } 01>LBL "RANDOM" 02 X>Y? 03 X<>Y 04 1E3 05 ÷ 06 1 07 + 08 STO 00 09 Rv 10 STO "MAX" 11 SF 01 12 CLA 13>LBL 01 14 RCL 00 15 IP 16 1 17 - 18 RAN 19 RCL× "MAX" 20 IP 21 1 22 + 23 FS?C 01 24 GTO 03 25>LBL 02 26 RCL IND ST Y 27 X=Y? 28 GTO 01 29 Rv 30 DSE ST Y 31 GTO 02 32>LBL 03 33 STO IND 00 34 |-" " 35 AIP 36 ISG 00 37 GTO 01 38 RCL "MAX" 39 RCL 00 40 IP 41 1 42 - 43 CLV "MAX" 44 AVIEW 45 END

Note: "Rv" means R↓ and line 34 appends a space to Alpha.

The following example was obtained after 0,12345 [SEED] on Free42. But I can't say if this will produce the same numbers on the DM-42.

18 [ENTER] 4 XEQ"RANDOM"
4 7 3 16
[R/S]
9 6 17 4
[R/S]
3 16 4 18

etc.

Now, what about adding a sorted output ?-)

Dieter
02-12-2019, 12:57 AM
Post: #3
 Thomas Klemm Senior Member Posts: 1,447 Joined: Dec 2013
RE: (DM42) Lottery number generator programming
(02-11-2019 07:35 PM)Dieter Wrote:  Now, what about adding a sorted output ?-)

The following program uses the bits of an integer to simulate a set.
Using the BIT? function allows to detect a duplicate value.
It then goes back to label 00 and tries again.

Code:
00 { 54-Byte Prgm } 01▸LBL "RANDOM" 02 STO 00 03 0 04 X<>Y 05▸LBL 00 06 R↓ 07▸LBL 01 08 RAN 09 RCL× ST Z 10 IP 11 BIT? 12 GTO 00 13 2 14 X<>Y 15 Y↑X 16 + 17 DSE 00 18 GTO 01 19 X<>Y 20 1 21 - 22 1ᴇ3 23 ÷ 24▸LBL 02 25 BIT? 26 VIEW ST X 27 ISG ST X 28 GTO 02 29 END

The limitation however is that this works only up to 35 horses.

Example:

18
ENTER
4
XEQ "RANDOM"

ST X=6.017
R/S
ST X=10.017
R/S
ST X=15.017
R/S
ST X=16.017
R/S
18.017

Make sure to have the printer off (POFF) and flag 21 (Printer Enable) set, i.e. SF 21.
Otherwise the VIEW command in line 23 will not stop.

Have fun with your DM42.
Thomas
02-12-2019, 05:56 AM (This post was last modified: 02-14-2019 07:43 AM by psw.)
Post: #4
 psw Junior Member Posts: 3 Joined: Feb 2019
RE: (DM42) Lottery number generator programming
Thank you very much, Dieter and Thomas, how grateful your help are.

To Dieter, your explanation is very clear and handy, digesting a lot of complicated images into the beginner's brains. This 41/42 programming is a little similar to BASIC and C for the loop control. I am very happy to know the counter functions are bundled and do not need to use registers. And it also tells me that I need to study all the functions do what in this machine.
Quote:01>LBL "RANDOM"
02 X>Y?
03 X<>Y
First, I am sort of impressed like a lightning into my eyes. This small idea is unexpectedly useful for someone who doesn't know which number to put X register. It makes user friendly and some non-tech savvy people can get the right numbers without errors. This tells me to use my brain more flexible. I will try to do.
The concept that RAN x Y results 0 to Y-1, came up my mind, short after trying RAN function without programming. That's my bad.
Quote:04 1E3
05 ÷
06 1
07 +
08 STO 00
Second, I wondered why you made a change of X register into 1.004, puzzled a lot and finally figured out this is for the Loop control DSE and ISG indirectly (so the registers don't mess up by loop counter), also I was amazed that the way of LOOP work to reduce memory into just ONE stack value for a loop. Therefore this HP 41 base series was used by NASA in 80's. SetFlag and FlagChech?Clear is as C language
Code:
if (i==0) do {next program} else {skip next program}; i=0
something like this. Very important to put a separator between two number in the alpha memory. I need to study a lot about loop control, I guess. And the sorting these numbers are very pleasant to read the result. But I didn't come up with the single idea. Please do teach me, this was related with the flowchart flaws of X=Y? doesn't really help to verify all the numbers are unique.

FYI, input of
Quote: 0.12345 [SEED] 18 [ENTER] 4 [EXQ] "RANDOM"
to my DM42 returns
5 14 4 6
[R/S]
12 3 14 14
[R/S]
1 12 10 3
Perhaps, random generator is different from Free42.

To Thomas, yes they are my flowchart flaws. The first one; "the numbers may not be unique each other" issue, I noticed this early but couldn't really find the way to do the comparison. Now, what BIT? does is still not clear in my brain but the hint "this may detect up to 35 horses", thus this machine operate 36 bits in BASE mode, my friend has an idea about binary numbers but unfortunately I don't have much, now I understand this program can't be used for a lottery which the numbers are usu more than 35.
The second concern the AVIEW could be very long, well, for lottery buyers need 6 or 7 numbers, for horse ticket buyers wouldn't be crazy and it used to be many horses at one race, these days 18 is maximum gate number in Japan and 20 or so in France.

So, the name of the program should be "horseracing ticket picker" and the number limit MAX = 35 and 6 drawings due to the printable capacity of AVIEW at glance.
Will you add this collection to the DM42/Free42 program library? It can be used as a dice roller, if they don't watch horse races. I'd like to think and hear what would Dieter and Thomas develop the program together.

Best regards,
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