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Forum Index : Microcontroller and PC projects : MM/DM Recursion

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TassyJim

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Joined: 07/08/2011
Location: Australia
Posts: 6097
Posted: 05:10am 19 Dec 2011
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I was curious to see if MM Basic could handle recursion so I adapted this fractal tree program. Not quite a Christmas tree but close enough.


100 'Title: Fractal Tree
110 newX=160 'Tree starting point
120 newY=220
130 angle = -30
140 delta = 10
150 length = 60
160 dir = 270
170 TurtleSpeed = 50 'speed options
180 rad=6.283185/360 'degrees to radians
190 dim stack(100) 'FIFO stack
200 stackpos=1
210 cls
220 line(newX, newY-1) - (newX, newY)
230 gosub 270
240 print "Subroutine called ";loopcount;" times."
250 end
260
270 '[drawtree]
280 loopcount = loopcount + 1
290 If (length > 0) Then
300 oldX=newX
310 oldY=newY
320 newX=oldX - cos(dir*rad)*length
330 newY=oldY + sin(dir*rad)*length
340 line - (newX, newY)
350 pause TurtleSpeed
360 dir=dir+angle
370 stack(stackpos)=length
380 stackpos=stackpos+1
390 length = length - delta
400 gosub 270 'recursive calling itself
410 dir=dir-(angle * 2)
420 gosub 270 'recursive calling itself
430 dir=dir+angle
440 stackpos=stackpos-1
450 length = stack(stackpos)
460 oldX=newX
470 oldY=newY
480 newX=oldX - cos(dir*rad+3.14159)*length
490 newY=oldY + sin(dir*rad+3.14159)*length
500 line - (newX, newY)
510 pause TurtleSpeed
520 EndIf
530 return


JimEdited by TassyJim 2011-12-20
VK7JH
MMedit   MMBasic Help
 
Geoffg

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Joined: 06/06/2011
Location: Australia
Posts: 3194
Posted: 01:57pm 19 Dec 2011
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MMBasic can keep track of up to 250 nested GOSUB's.
This is allows for a reasonable level of recursion.

For interest, you can have up to 20 nested FOR..NEXT loops and a similar number of nested DO..LOOP loops. And, while I am quoting numbers, you can define up to 250 variables.

Geoff
Geoff Graham - http://geoffg.net
 
larny
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Joined: 31/10/2011
Location: Australia
Posts: 346
Posted: 02:41am 20 Dec 2011
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Jim,
That's an intersting programme.

I have never heard of recursive calling before.

But I can't see how it ever gets out of the 270 to 400 loop.

Obviously I'm missing something.

Len
 
Gadget
Regular Member

Joined: 22/06/2011
Location: Australia
Posts: 70
Posted: 03:50am 20 Dec 2011
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Larny,

If you look at the code there is an IF statement at line 290, if the condition is not met the program falls through to the EndIf statement at line 590 which is then followed by a Return statement. so the program returns to the point of call which may be within the routine itself.

So what the routine does is to call itself until an end condition is met and then successively 'Returns' from each call to itself.

hope this sheds some light on it.

Terry
 
larny
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Joined: 31/10/2011
Location: Australia
Posts: 346
Posted: 04:01am 20 Dec 2011
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Thanks Terry,
I thought that if the condition in the IF statement is false, then it would jump over line 300 & execute 310 next.

290 If (length > 0) Then
300 oldX=newX
310 oldY=newY


But what I assume you're saying is that:-

1. my assumption is true if there is no endif later in the sequence.
or
2. it goes to the endif if it is present - as you described.

Is this correct?

Len

 
Gadget
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Joined: 22/06/2011
Location: Australia
Posts: 70
Posted: 04:10am 20 Dec 2011
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Len,

In this example, if the value of length is equal or less than zero none of the statements between the then statement and the endif statement are executed so execution goes from line 290 to line 520.

I'm not sure if the mmbasic alows an if statement without an endif, i think if there isnt an endif then the code to be executed has to be on the same line as the if..then statement (someone correct me if I'm wrong). I'll have to try it when i get home.

Terry
 
TassyJim

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Joined: 07/08/2011
Location: Australia
Posts: 6097
Posted: 05:07am 20 Dec 2011
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  larny said  

1. my assumption is true if there is no endif later in the sequence.
or
2. it goes to the endif if it is present - as you described.

Is this correct?

Len


There are two choices for if:
A one liner where the syntax is "IF condition THEN do something"
In this case there is no ELSE and no ENDIF

A multiline IF has more options:
IF condition THEN
do something
ELSE
do the other thing
ENDIF

ELSE is not needed but ENDIF is.
There can also be ELSEIF in the mix to give more options for testing.

Recursion is a good way to make unreadable code but it does have uses.
If you want to see whats happening put a few PRINT statements in the loop.

Jim



VK7JH
MMedit   MMBasic Help
 
larny
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Joined: 31/10/2011
Location: Australia
Posts: 346
Posted: 05:23am 20 Dec 2011
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Thanks Terry & Jim,
I think I understand it now.

I'll try it next time I fire up the MM.

LenEdited by larny 2011-12-21
 
BobDevries

Senior Member

Joined: 08/06/2011
Location: Australia
Posts: 266
Posted: 06:40am 20 Dec 2011
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Hi TassyJim,

Actually it *is* possible to have ELSE on a one line IF statement.....


IF VAR=5 THEN PRINT "5" ELSE PRINT "NOT 5"


Regards,

Bob Devries
Dalby, QLD, Australia
 
ajkw
Senior Member

Joined: 29/06/2011
Location: Australia
Posts: 290
Posted: 09:42am 20 Dec 2011
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indeed (in regards max nested gosub's)
140 delta = 1
150 length = 250
causes an error

yet
140 delta = 1
150 length = 249
works ok.

I was going to let it go but after some thought I concluded loopcount was going to max out
at 3.40282347e+38 long before it finished, which would be somewhere around 3.232856e+492 !!

I stopped it after about 30mins which had loop count at ~1e+06

Cheers,
Anthony.

Screenshot of another.
Image is Delta 3, Length 50, turtlespeed = 0, 194s to draw.




Edited by ajkw 2011-12-21
 
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