If you have read Godel Escher Bach, you would know what a Wondrous number is.

This site defines it nicely

http://mathforum.org/library/drmath/view/57184.html

*Start with an arbitrary natural number (integer greater than zero). If the number is even, divide it by 2. If it is odd, multiply by 3 and add 1. Repeat until you come out with 1. A number is wondrous if and only if it eventually reaches 1 through this process*Now the site thinks you need pencil and paper to determine if a number is one or not. I have a computer. I'll make it do the work.

Here's the program I wrote back a few years ago. (Pardon my lack of new QB64 commands, we have a better basic now)

Code: Select all

```
DECLARE FUNCTION get.a.key$ ()
DECLARE SUB pause ()
DECLARE FUNCTION w2! (a!)
DECLARE FUNCTION wonderous! (a!)
CLS
PRINT "Wonderous numbers - what ones are?"
PRINT
qq = 1
WHILE 0 = 0
FOR a = 1 TO 40
r = INT(RND * 1000000)
PRINT "W("; r; ") = "; w2(r)
NEXT
pause
WEND
FOR t = 1 TO 10000
FOR a = qq TO qq + 39
PRINT "W("; a; ") = "; w2(a)
NEXT
pause
qq = qq + 40
NEXT
FUNCTION get.a.key$
temp$ = INKEY$
WHILE temp$ = ""
temp$ = INKEY$
WEND
get.a.key$ = temp$
END FUNCTION
SUB pause
PRINT
PRINT "<press any key>"
aa$ = get.a.key$
END SUB
FUNCTION w2 (a)
'inputs a, returns 1 if wonderous, not recursive
a1 = a 'temp var to use
WHILE a1 > 1
IF a1 = 1 THEN w2 = 1: EXIT FUNCTION
IF a1 < 1 OR INT(a1) <> a1 THEN PRINT "ERROR "; a: STOP
IF a1 / 2 = INT(a1 / 2) THEN
a1 = a1 / 2
ELSE
a1 = 3 * a1 + 1
END IF
'PRINT a1;
WEND
w2 = a1
END FUNCTION
FUNCTION wonderous (a)
IF a = 1 THEN wonderous = 1: EXIT FUNCTION
IF a < 1 THEN PRINT "ERROR "; a: STOP
IF a / 2 = INT(a / 2) THEN
'PRINT "even": STOP
'PRINT a / 2
wonderous = wonderous(a / 2)
ELSE
'PRINT "odd": STOP
wonderous = wonderous(3 * a + 1)
END IF
END FUNCTION
```

Anyone here into strange or useless functions?

Jack T.