Someone named Rob posted a comment to my recent ELSE article that simply contained one line of weird BASIC code:

It looked like Rob was presenting a way to do an ON/GOTO with arbitrary values. Will that actually work?

ON GOTO/GOSUB

ON/GOTO (and ON/GOSUB) normally expects values from 1 to X, and a corresponding line number for each consecutive value:

10 INPUT "ENTER 1-5";A
20 ON A GOTO 100,200,300,400,500
30 GOTO 10
100 PRINT "YOU CHOSE 1":GOTO 10
200 PRINT "YOU CHOSE 2":GOTO 10
300 PRINT "YOU CHOSE 3":GOTO 10
400 PRINT "YOU CHOSE 4":GOTO 10
500 PRINT "YOU CHOSE 5":GOTO 10

If A is 1, it will go to 100. If A is 2, it will go to 200. And so on.

Mind the gaps

If you had wanted gaps in the choices, like 1, 3 and 5, you’d have to fill out the ON/GOTO with numbers for the missing choices:

10 INPUT "ENTER 1, 3 OR 5";A
20 ON A GOTO 100,10,300,10,500
30 GOTO 10
100 PRINT "YOU CHOSE 1":GOTO 10
300 PRINT "YOU CHOSE 3":GOTO 10
500 PRINT "YOU CHOSE 5":GOTO 10

That might be a nice approach if the numbers were relatively close to each other, but at some point, adding a bunch of dummy numbers to the ON/GOTO line would take more time to parse than just using separate IF/THEN statements.

Arbitrary GOTO

My example was based on some VIC-20 code I wrote back in 1983. I was reading which key was currently being held down, and would get back three different values for the keys I was reading:

• 17 – ‘A’ key is pressed (LEFT)
• 42 – ‘S’ key is pressed (RIGHT)
• 39 – ‘F1’ key is pressed (JUMP)

I couldn’t use ON/GOTO for values 17, 42 and 39.

But Rob’s code does just that!

20 ON -(K=41)-2*(K=17)-3*(K=39) GOTO 30,40,50

In BASIC, any comparison returns a -1 if it is TRUE, or a 0 if it is FALSE:

…so in Rob’s example, the checks in parenthesis will be turned in to either a -1 or a 0 based on the value of K.

• If K is 41, then (K=42) will be (-1) and (K=17) and (K=39) will both be (0).
• If K is 17, then (K=17) will be (-1) and (K=41) and (K=3) will both be (0).
• If K is 39, then (K-39) will be (-1) and (K=42) and (K=17) will both be (0).

Let’s see what that does:

20 ON -(K=41)-2*(K=17)-3*(K=39) GOTO 30,40,50

K = 41 produces:
ON -(-1) - 2*(0) - 3*(0) GOTO 30,40,50
ON    1  -    0  -    0  GOTO 30,40,50
ON    1                  GOTO 30,40,50

K-17 produces:
ON -(0) - 2*(-1) - 3*(0) GOTO 30,40,50
ON   0  -    -2  -    0  GOTO 30,40,50
ON            2          GOTO 30,40,50

K-39 produces:
ON -(0) - 2*(0) - 3*(-1) GOTO 30,40,50
ON   0  -    0  -    -3  GOTO 30,40,50
ON                    3  GOTO 30,40,50

Fantastic! Subtracting a negative makes it a positive, and multiplying by zero makes zero.

Math rules! And it actually works:

0 REM robgoto.bas
10 INPUT "41, 17 OR 39";K
20 ON -(K=41)-2*(K=17)-3*(K=39) GOSUB 30,40,50
25 GOTO 10
30 PRINT "30":RETURN
40 PRINT "40":RETURN
50 PRINT "50":RETURN

Fantastic! What a great tip. Thanks, Rob!

Arbitrary benchmark

So of course, I now have to see how this compares to separate IF/THEN’s speed-wise. Let’s pull out the trusty benchmark test code and do a version for best case (first choice) and worst case (last choice) for each approach (Rob’s, and IF/THENs).

Arbitrary ON/GOSUB, best case:

0 REM robgoto1.bas
5 DIM TE,TM,B,A,TT
6 K=41
10 FORA=0TO3:TIMER=0:TM=TIMER
20 FORB=0TO1000
30 ON -(K=41)-2*(K=17)-3*(K=39) GOSUB 100,200,300
70 NEXT
80 TE=TIMER-TM:PRINTA,TE
90 TT=TT+TE:NEXT:PRINTTT/A:END
100 RETURN
200 RETURN
300 RETURN

This produces 1368.

Arbitrary ON/GOSUB, worse case:

0 REM robgoto2.bas
5 DIM TE,TM,B,A,TT
6 K=39
10 FORA=0TO3:TIMER=0:TM=TIMER
20 FORB=0TO1000
30 ON -(K=41)-2*(K=17)-3*(K=39) GOSUB 100,200,300
70 NEXT
80 TE=TIMER-TM:PRINTA,TE
90 TT=TT+TE:NEXT:PRINTTT/A:END
100 RETURN
200 RETURN
300 RETURN

This produces 1434

Separate IF/THEN/GOSUB, best case:

0 REM ongoto1.bas
5 DIM TE,TM,B,A,TT
6 K=41
10 FORA=0TO3:TIMER=0:TM=TIMER
20 FORB=0TO1000
30 IF K=41 THEN GOSUB 100:GOTO 70
40 IF K=17 THEN GOSUB 200:GOTO 70
50 IF K=39 THEN GOSUB 300
70 NEXT
80 TE=TIMER-TM:PRINTA,TE
90 TT=TT+TE:NEXT:PRINTTT/A:END
100 RETURN
200 RETURN
300 RETURN

This produces 518 – almost three times faster!

Separate IF/THEN/GOSUB, worse case:

0 REM ongoto2.bas
5 DIM TE,TM,B,A,TT
6 K=39
10 FORA=0TO3:TIMER=0:TM=TIMER
20 FORB=0TO1000
30 IF K=41 THEN GOSUB 100:GOTO 70
40 IF K=17 THEN GOSUB 200:GOTO 70
50 IF K=39 THEN GOSUB 300
70 NEXT
80 TE=TIMER-TM:PRINTA,TE
90 TT=TT+TE:NEXT:PRINTTT/A:END
100 RETURN
200 RETURN
300 RETURN

This produces 1098, meaning even worst case is still faster.

BUT, we are doing a bunch of number parsing and math here. We can’t do anything about the math, but on Color BASIC, we can change those decimal values to HEX and speed up that part. Let’s try that:

0 REM robgoto3.bas
5 DIM TE,TM,B,A,TT
6 K=41
10 FORA=0TO3:TIMER=0:TM=TIMER
20 FORB=0TO1000
30 ON -(K=&H29)-&H2*(K=&H11)-&H3*(K=&H27) GOSUB 100,200,300
70 NEXT
80 TE=TIMER-TM:PRINTA,TE
90 TT=TT+TE:NEXT:PRINTTT/A:END
100 RETURN
200 RETURN
300 RETURN

By switching the five integer values in line 30 one to HEX, the speed of best case goes from 1368 to 1150! That’s faster, but it still doesn’t beat 518 using separate IF/THEN/GOSUB.

We might be able to make this a bit faster by using variables, so lets try that:

0 REM robgoto4.bas
5 DIM TE,TM,B,A,TT
6 K=41
7 L=&H29:M=&H2:N=&H11:O=&H3:P=&H27
10 FORA=0TO3:TIMER=0:TM=TIMER
20 FORB=0TO1000
30 ON -(K=L)-M*(K=N)-O*(K=P) GOSUB 100,200,300
70 NEXT
80 TE=TIMER-TM:PRINTA,TE
90 TT=TT+TE:NEXT:PRINTTT/A:END
100 RETURN
200 RETURN
300 RETURN

This brings the time down slightly to 1092. Still not enough to beat the separate IF/THEN/GOSUB (and that could also be sped up slightly using HEX or variables).

Conclusion

This trick is very cool. From my calculations, it looks like it save code space, which could be very important on a low-memory system like a 4K CoCo or the 5K VIC-20. That alone might make this trick worth doing.

But for speed, such as a BASIC game, it looks like brute force IF/THEN may be a better approach.

It’s really nice to have options. I can’t wait for an opportunity to use this technique in something.

Thanks, Rob, for leaving such a cool comment!

Until next time…