Checking if numbers have decimal points after them

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I Am Herenow

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Posted: 16th Mar 2007 16:09

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Hello

OK, I'm trying to create a program, which, when given a number, lists all the factors of that number. For instance, if you type "10", it will print:

1,2,5,10

I've got it to a 1st draft which just lists your number divided by the numbers 1 through to itself (don't worry about formatting - I'll change all that later with TEXT but just need the maths stuff for now).

+ Code Snippet

Rem Project: Factors of a number
Rem Created: 16/03/2007 13:21:38

Rem ***** Main Source File *****

INPUT "Please print the number." , x#
CLS

   DIM Divided#(x#)
     FOR a = 1 TO x# STEP 1
        Divided#(a) = x# / a
     NEXT a

     FOR a = 1 TO x# STEP 1
     PRINT Divided#(a) , ", "
     NEXT a
   WAIT KEY

Now then, I need something that will make me only print the numbers with no decimals after them (because only they are actual factors, obviously). I'll just use an IF...PRINT...NEXT a...ENDIF, but what should my IF be looking for? I'm thinking something involving INT or LEFT$() or RIGHT$() but not really sure how to formulate it - please help!

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Inverted

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Posted: 16th Mar 2007 16:10

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there is

+ Code Snippet

test=1

and

+ Code Snippet

test#=1

the first one wont even allow a decimal, just use integers and you wont have to worry about it

Come take a look!

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RUCCUS

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Posted: 16th Mar 2007 16:18

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+ Code Snippet

DISABLE ESCAPEKEY
WHILE ESCAPEKEY() = 0

   PRINT "-----"
   INPUT "enter number: ",num#

   IF INT(num#) = num#
      PRINT "No Decimals Found."
   ELSE
      PRINT "Decimals Found."
   ENDIF

ENDWHILE

PRINT ""
PRINT "Application Finished."
WAIT 2000
END

Gibble Blops Wip

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I Am Herenow

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Posted: 16th Mar 2007 16:24 Edited at: 16th Mar 2007 16:27

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Thanks

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I Am Herenow

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Posted: 16th Mar 2007 17:09 Edited at: 16th Mar 2007 17:18

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OK, next thing, now that I've got it doing (for 10) this:

10
5
2
1

(By the way, here's the code):

+ Code Snippet

Rem Project: Factors of a number
Rem Created: 16/03/2007 13:21:38

Rem ***** Main Source File *****
DO
CLS
SYNC
SET TEXT FONT "Arial"
SET TEXT SIZE 15
 PRINT "Please print the number, the factors of which you want to see."
 INPUT "" , x#
 CLS

    DIM Divided#(x#)
      FOR a = 1 TO x# STEP 1
         Divided#(a) = x# / a
      NEXT a

      FOR a = 1 TO x# STEP 1
          IF Divided#(a) = INT(Divided#(a))
             PRINT Divided#(a)
          ENDIF
      NEXT a

   PRINT ""
   PRINT "Press any key to run the program again."
 WAIT KEY
LOOP

...I want to make it more obvious which factors are pairs. What I want to do is have the first number (i.e. x#), say, red, the next (x# / 2 if it's a multiple of 2, x# / 3 if it's a multiple of 3 and not a multiple of 2 etc.) blue and so on until I get halfway down, when I want the colours to be reversed, thereby colouring factor pairs the same colour. A root would consequently have a unique colour.

So if I demonstrate the same sort of thing except with formatting and not colours (as I don't think you can change the font colour in this forum), you should see what I mean.

If x# = 10:
10
5
2
1

If x# = 12:
12
6
4
3
2
1

If x# = 9:
9
3
1

How do I do this? Please help!

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RUCCUS

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Posted: 16th Mar 2007 17:45

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It kind of depends on how you plan to have it output at the end. If, like you said, you're going to switch to using the TEXT command, you could do it a lot easier, by outputting them in the format factor1,factor2 on each line. Like;

1,10
2,5

Doing that, you could then easily set the colour of each line randomly.

Eg;

+ Code Snippet

value# = 10

DIM factor(4)
factor(1) = 10
factor(2) = 5
factor(3) = 2
factor(4) = 1

FOR x = 1 TO 4
   FOR y = 1 TO 4
      IF factor(x)*factor(y) = value#
         INK RGB(RND(255),RND(255),RND(255)),0
         PRINT factor(x),",",factor(y)
      ENDIF
   NEXT y
NEXT x

WAIT KEY
END

Gibble Blops Wip

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I Am Herenow

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Posted: 16th Mar 2007 19:02

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OK, I've had a better Idea - I'll just get the factors to be written in reverse alongside those written in the "normal" order, thus pairing them up. However, my current code works fine for the "normal" factors, but only works for the first and last "reverse" factor - I can't figure it out, please help!

Rem Project: Factors of a number
Rem Created: 16/03/2007 13:21:38

Rem ***** Main Source File *****
DO
CurrentNumber = 1
Measurement$ = "555"
StartMessage$ = "Please print the number, the factors of which you want to see."
EndMessage$ = "Press any key to run the program again."
CLS
SYNC
SET TEXT FONT "Arial"
SET TEXT SIZE 15
 PRINT StartMessage$
 INPUT "" , x#
 CLS
    DIM Divided#(x#)
      FOR a = 1 TO x# STEP 1
         Divided#(a) = x# / a
      NEXT a

FOR a = 1 TO x# STEP 1
          IF Divided#(a) = INT(Divided#(a))
             INC CurrentNumber
             CENTER TEXT (SCREEN WIDTH() / 2) - 2 * (TEXT WIDTH (Measurement$)), (((TEXT HEIGHT(Measurement$)) * CurrentNumber)) - 20, STR$(Divided#(a))
             CENTER TEXT (SCREEN WIDTH() / 2) + 2 * (TEXT WIDTH (Measurement$)), (((TEXT HEIGHT(Measurement$)) * CurrentNumber)) - 20, STR$(Divided#( (INT(x#)) - (a -1)))
          ENDIF
      NEXT a

CENTER TEXT (SCREEN WIDTH() / 2), ((TEXT HEIGHT(Measurement$)) * CurrentNumber),  ""
   CENTER TEXT (SCREEN WIDTH() / 2), ((TEXT HEIGHT(Measurement$)) * CurrentNumber) + (TEXT HEIGHT (EndMessage$)), EndMessage$
 WAIT KEY
LOOP

+ Code Snippet

Rem Project: Factors of a number
Rem Created: 16/03/2007 13:21:38

Rem ***** Main Source File *****
DO
CurrentNumber = 1
Measurement$ = "555"
StartMessage$ = "Please print the number, the factors of which you want to see."
EndMessage$ = "Press any key to run the program again."
CLS
SYNC
SET TEXT FONT "Arial"
SET TEXT SIZE 15
 PRINT StartMessage$
 INPUT "" , x#
 CLS
    DIM Divided#(x#)
      FOR a = 1 TO x# STEP 1
         Divided#(a) = x# / a
      NEXT a

      FOR a = 1 TO x# STEP 1
          IF Divided#(a) = INT(Divided#(a))
             INC CurrentNumber
             CENTER TEXT (SCREEN WIDTH() / 2) - 2 * (TEXT WIDTH (Measurement$)), (((TEXT HEIGHT(Measurement$)) * CurrentNumber)) - 20, STR$(Divided#(a))
             CENTER TEXT (SCREEN WIDTH() / 2) + 2 * (TEXT WIDTH (Measurement$)), (((TEXT HEIGHT(Measurement$)) * CurrentNumber)) - 20, STR$(Divided#( (INT(x#)) - (a -1)))
          ENDIF
      NEXT a

   CENTER TEXT (SCREEN WIDTH() / 2), ((TEXT HEIGHT(Measurement$)) * CurrentNumber),  ""
   CENTER TEXT (SCREEN WIDTH() / 2), ((TEXT HEIGHT(Measurement$)) * CurrentNumber) + (TEXT HEIGHT (EndMessage$)), EndMessage$
 WAIT KEY
LOOP

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Sixty Squares

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Posted: 16th Mar 2007 23:14 Edited at: 16th Mar 2007 23:18

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I made something similar to what you're doing a while ago! Here's the code for it, if it helps any. It probably won't because it's hard to read and not commented but here it is anyway

.

NOTE: If you enter a number that is above 30000 it will choose a random number between 1 and 30000 because numbers above 30000 freeze the program (too much for/next).

Begin:
sync on
sync rate 60
set text font "Comic Sans MS"
set text size 14

cls
sync : input "ENTER NUMBER: ",Num : sync
cls

MaxNum=30000
if Num<0 or Num>MaxNum then Num=1+rnd(MaxNum-1)
set cursor 0,0
Print "NUMBER: ",str$(Num)
print " "

IsPrime(Num)

while returnkey()=1
endwhile
wait key
while scancode()>0
endwhile
while returnkey()=0
cls

set cursor 10,10
print "PRESS ESCAPE TO QUIT OR ENTER TO CONTINUE."
if escapekey() then end
sync
endwhile
while returnkey()=1
endwhile

Goto Begin

end

function IsPrime(N)
   NumFac=2
   sync : print "FACTOR PAIRS:" : sync
   sync : print str$(1)+" x "+str$(n)+"               ; "+str$(1) : sync
   PRIME=1
   for a = 2 to N-1
      for b = 2 to N-1
         if b*a=N then PRIME=0 : print str$(a)+" x "+str$(b)+"               ; "+str$(a) : NumFac=NumFac+1
      next b
   next a

sync : print str$(n)+" x "+str$(1)+"               ; "+str$(n) : sync

if PRIME=1 then Msg$="THE NUMBER IS PRIME. THERE ARE NO OTHER FACTORS"

sync : print MSG$ : sync
   sync : print " " : sync
   sync : print "# OF FACTORS FOR "+str$(N)+": ",NumFac
   sync : print " " : print "=======DONE=======" : sync
endfunction PRIME

+ Code Snippet

Begin:
sync on
sync rate 60
set text font "Comic Sans MS"
set text size 14

cls
sync : input "ENTER NUMBER: ",Num : sync
cls

MaxNum=30000
if Num<0 or Num>MaxNum then Num=1+rnd(MaxNum-1)
set cursor 0,0
Print "NUMBER: ",str$(Num)
print " "

IsPrime(Num)

while returnkey()=1
endwhile
wait key
while scancode()>0
endwhile
while returnkey()=0
cls

set cursor 10,10
print "PRESS ESCAPE TO QUIT OR ENTER TO CONTINUE."
if escapekey() then end
sync
endwhile
while returnkey()=1
endwhile

Goto Begin


end


function IsPrime(N)
   NumFac=2
   sync : print "FACTOR PAIRS:" : sync
   sync : print str$(1)+" x "+str$(n)+"               ; "+str$(1) : sync
   PRIME=1
   for a = 2 to N-1
      for b = 2 to N-1
         if b*a=N then PRIME=0 : print str$(a)+" x "+str$(b)+"               ; "+str$(a) : NumFac=NumFac+1
      next b
   next a

   sync : print str$(n)+" x "+str$(1)+"               ; "+str$(n) : sync

   if PRIME=1 then Msg$="THE NUMBER IS PRIME. THERE ARE NO OTHER FACTORS"

   sync : print MSG$ : sync
   sync : print " " : sync
   sync : print "# OF FACTORS FOR "+str$(N)+": ",NumFac
   sync : print " " : print "=======DONE=======" : sync
endfunction PRIME

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Code Dragon

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Posted: 17th Mar 2007 03:13

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Sixty, I made your program 4 times faster.

Here you go.

Begin:
sync on
sync rate 60
set text font "Comic Sans MS"
set text size 14

cls
sync : input "ENTER NUMBER: ",Num : sync
cls

MaxNum=30000
if Num<0 or Num>MaxNum then Num=1+rnd(MaxNum-1)
set cursor 0,0
Print "NUMBER: ",str$(Num)
print " "

IsPrime(Num)

while returnkey()=1
endwhile
wait key
while scancode()>0
endwhile
while returnkey()=0
cls

set cursor 10,10
print "PRESS ESCAPE TO QUIT OR ENTER TO CONTINUE."
if escapekey() then end
sync
endwhile
while returnkey()=1
endwhile

Goto Begin

end

function IsPrime(N)
   NumFac=2
   sync : print "FACTOR PAIRS:" : sync
   sync : print str$(1)+" x "+str$(n)+"               ; "+str$(1) : sync
   PRIME=1
   LIMIT = N/2
   for a = 2 to LIMIT
      for b = 2 to LIMIT
         if b*a=N then PRIME=0 : print str$(a)+" x "+str$(b)+"               ; "+str$(a) : NumFac=NumFac+1
      next b
   next a

sync : print str$(n)+" x "+str$(1)+"               ; "+str$(n) : sync

if PRIME=1 then Msg$="THE NUMBER IS PRIME. THERE ARE NO OTHER FACTORS"

sync : print MSG$ : sync
   sync : print " " : sync
   sync : print "# OF FACTORS FOR "+str$(N)+": ",NumFac
   sync : print " " : print "=======DONE=======" : sync
endfunction PRIME

+ Code Snippet

Begin:
sync on
sync rate 60
set text font "Comic Sans MS"
set text size 14

cls
sync : input "ENTER NUMBER: ",Num : sync
cls

MaxNum=30000
if Num<0 or Num>MaxNum then Num=1+rnd(MaxNum-1)
set cursor 0,0
Print "NUMBER: ",str$(Num)
print " "

IsPrime(Num)

while returnkey()=1
endwhile
wait key
while scancode()>0
endwhile
while returnkey()=0
cls

set cursor 10,10
print "PRESS ESCAPE TO QUIT OR ENTER TO CONTINUE."
if escapekey() then end
sync
endwhile
while returnkey()=1
endwhile

Goto Begin


end


function IsPrime(N)
   NumFac=2
   sync : print "FACTOR PAIRS:" : sync
   sync : print str$(1)+" x "+str$(n)+"               ; "+str$(1) : sync
   PRIME=1
   LIMIT = N/2
   for a = 2 to LIMIT
      for b = 2 to LIMIT
         if b*a=N then PRIME=0 : print str$(a)+" x "+str$(b)+"               ; "+str$(a) : NumFac=NumFac+1
      next b
   next a

   sync : print str$(n)+" x "+str$(1)+"               ; "+str$(n) : sync

   if PRIME=1 then Msg$="THE NUMBER IS PRIME. THERE ARE NO OTHER FACTORS"

   sync : print MSG$ : sync
   sync : print " " : sync
   sync : print "# OF FACTORS FOR "+str$(N)+": ",NumFac
   sync : print " " : print "=======DONE=======" : sync
endfunction PRIME

It's based on the idea that a number can't have a factor more than half itself but still less than itself. (The other factor would have to be between 1 and 2, not an integer)

Do not meddle in the affairs of dragons...for you are crunchy and good with ketchup.

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Sixty Squares

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Posted: 17th Mar 2007 03:57

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Cool thanks

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I Am Herenow

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Posted: 18th Mar 2007 14:25 Edited at: 18th Mar 2007 14:38

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Cool, thanks

How come it crashes at 30,000? :S

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Sixty Squares

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Posted: 18th Mar 2007 17:02 Edited at: 18th Mar 2007 23:51

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I don't know I think it's too much FOR/NEXT stuff. Lol. But with Code Dragon's fix it should be able to handle 120,000 <<<Code Dragon says 60,000

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Code Dragon

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Posted: 18th Mar 2007 23:46

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If you double the number it will take 4 times as long, because 1^2 = 1 and 2^2 = 4. (The value is squared because there's two loops.) So the fast version should be able to compute 60,000 in the same time as the slow version can compute 30,000.

Idealy DBP can work with 64-bit integers so with enough patience you could find out if numbers up to 9223372036854775808 are prime.

Do not meddle in the affairs of dragons...for you are crunchy and good with ketchup.

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Sixty Squares

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Posted: 18th Mar 2007 23:51

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Okay I didn't know any of that

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I Am Herenow

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Posted: 19th Mar 2007 20:50

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But it crashes (i.e. doesn't respond) and I have to click End Now with my version when I type anything above, say, 20,000. Here's the code:

Rem Project: Factors of a number
Rem Created: 16/03/2007 13:21:38

Rem ***** Main Source File *****
DO
CurrentNumber = 1
Measurement$ = "555"
StartMessage$ = "Please print the number, the factors of which you want to see."
EndMessage$ = "Press any key to run the program again."
CLS
SYNC
SET TEXT FONT "Arial"
SET TEXT SIZE 15
 PRINT StartMessage$
 INPUT "" , x#
 CLS
    DIM Divided#(x#)
      FOR a = 1 TO x# STEP 1
         Divided#(a) = x# / a
      NEXT a

FOR a = 1 TO x# STEP 1
         FOR b = 1 TO x# STEP 1
          IF b * a = x#
             INC CurrentNumber
             CENTER TEXT (SCREEN WIDTH() / 2) - 2 * (TEXT WIDTH (Measurement$)), (((TEXT HEIGHT(Measurement$)) * CurrentNumber)) - 20, STR$(a)
             CENTER TEXT (SCREEN WIDTH() / 2) + 2 * (TEXT WIDTH (Measurement$)), (((TEXT HEIGHT(Measurement$)) * CurrentNumber)) - 20, STR$(b)
          ENDIF
         NEXT b
      NEXT a

CENTER TEXT (SCREEN WIDTH() / 2), ((TEXT HEIGHT(Measurement$)) * CurrentNumber) + (1.5 * (TEXT HEIGHT (EndMessage$)) ), EndMessage$
 WAIT KEY
LOOP

+ Code Snippet

Rem Project: Factors of a number
Rem Created: 16/03/2007 13:21:38

Rem ***** Main Source File *****
DO
CurrentNumber = 1
Measurement$ = "555"
StartMessage$ = "Please print the number, the factors of which you want to see."
EndMessage$ = "Press any key to run the program again."
CLS
SYNC
SET TEXT FONT "Arial"
SET TEXT SIZE 15
 PRINT StartMessage$
 INPUT "" , x#
 CLS
    DIM Divided#(x#)
      FOR a = 1 TO x# STEP 1
         Divided#(a) = x# / a
      NEXT a

      FOR a = 1 TO x# STEP 1
         FOR b = 1 TO x# STEP 1
          IF b * a = x#
             INC CurrentNumber
             CENTER TEXT (SCREEN WIDTH() / 2) - 2 * (TEXT WIDTH (Measurement$)), (((TEXT HEIGHT(Measurement$)) * CurrentNumber)) - 20, STR$(a)
             CENTER TEXT (SCREEN WIDTH() / 2) + 2 * (TEXT WIDTH (Measurement$)), (((TEXT HEIGHT(Measurement$)) * CurrentNumber)) - 20, STR$(b)
          ENDIF
         NEXT b
      NEXT a

   CENTER TEXT (SCREEN WIDTH() / 2), ((TEXT HEIGHT(Measurement$)) * CurrentNumber) + (1.5 * (TEXT HEIGHT (EndMessage$)) ), EndMessage$
 WAIT KEY
LOOP

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Code Dragon

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Posted: 19th Mar 2007 23:09 Edited at: 19th Mar 2007 23:13

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Great news people, I figured out a completely new algorithm to find prime numbers. This one is about 500 times faster than the old fast one, which means you should be able to compute numbers up to 2.6 million.

(It crashes at numbers greater than 2.6 million, no idea why. If you change the double float variables to float it can do numbers up to 30 million, but it (may) round it. (like turning 29999999 into 30000000))

Begin:
sync on
sync rate 60
set text font "Comic Sans MS"
set text size 14

local MaxNum as double integer
local Num as double integer

cls
sync : input "ENTER NUMBER: ",Num : sync
cls

MaxNum=2600000
if Num<=2 or Num>MaxNum then Num=1+rnd(MaxNum-1)
set cursor 0,0
Print "NUMBER: ",str$(Num)
print " "

IsPrime(Num)

while returnkey()=1
endwhile
wait key
while scancode()>0
endwhile
while returnkey()=0
cls

set cursor 10,10
print "PRESS ESCAPE TO QUIT OR ENTER TO CONTINUE."
if escapekey() then end
sync
endwhile
while returnkey()=1
endwhile

Goto Begin

end

function IsPrime(N as double float)
   local a as double float
   NumFac=2
   sync : print "FACTOR PAIRS:" : sync
   sync : print str$(1)+" x "+str$(n)+"               ; "+str$(1) : sync
   PRIME=1
   LIMIT = N/2
   a = 2
   repeat
      if int(N/a) = N/a then PRIME=0 : print str$(a)+" x "+str$(int(N/a))+"               ; "+str$(a) : NumFac=NumFac+1
      inc a, 1
   until a > LIMIT

sync : print str$(n)+" x "+str$(1)+"               ; "+str$(n) : sync

if PRIME=1 then Msg$="THE NUMBER IS PRIME. THERE ARE NO OTHER FACTORS"

sync : print MSG$ : sync
   sync : print " " : sync
   sync : print "# OF FACTORS FOR "+str$(N)+": ",NumFac
   sync : print " " : print "=======DONE=======" : sync
endfunction PRIME

+ Code Snippet

Begin:
sync on
sync rate 60
set text font "Comic Sans MS"
set text size 14

local MaxNum as double integer
local Num as double integer

cls
sync : input "ENTER NUMBER: ",Num : sync
cls

MaxNum=2600000
if Num<=2 or Num>MaxNum then Num=1+rnd(MaxNum-1)
set cursor 0,0
Print "NUMBER: ",str$(Num)
print " "

IsPrime(Num)

while returnkey()=1
endwhile
wait key
while scancode()>0
endwhile
while returnkey()=0
cls

set cursor 10,10
print "PRESS ESCAPE TO QUIT OR ENTER TO CONTINUE."
if escapekey() then end
sync
endwhile
while returnkey()=1
endwhile

Goto Begin

end

function IsPrime(N as double float)
   local a as double float
   NumFac=2
   sync : print "FACTOR PAIRS:" : sync
   sync : print str$(1)+" x "+str$(n)+"               ; "+str$(1) : sync
   PRIME=1
   LIMIT = N/2
   a = 2
   repeat
      if int(N/a) = N/a then PRIME=0 : print str$(a)+" x "+str$(int(N/a))+"               ; "+str$(a) : NumFac=NumFac+1
      inc a, 1
   until a > LIMIT

   sync : print str$(n)+" x "+str$(1)+"               ; "+str$(n) : sync

   if PRIME=1 then Msg$="THE NUMBER IS PRIME. THERE ARE NO OTHER FACTORS"

   sync : print MSG$ : sync
   sync : print " " : sync
   sync : print "# OF FACTORS FOR "+str$(N)+": ",NumFac
   sync : print " " : print "=======DONE=======" : sync
endfunction PRIME

(If anyone cares to know how it works, it just runs 1 loop from 2 to N/2 and if N divides evenly into the index (a), a and N/a are added as factors.)

What's really weird is that DBP refuses to run a for loop properly when the index is a float. (That's why I have a repeat until loop.)

Do not meddle in the affairs of dragons...for you are crunchy and good with ketchup.

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RUCCUS

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Posted: 20th Mar 2007 00:03

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It will work but you have to make sure the indices are truly floats. For example

FOR x = 1 TO float#

Wouldnt work but

FOR x = 1.0 TO float#

Will.

>> Gibble Blops

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Sixty Squares

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Posted: 20th Mar 2007 02:30

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@Code Dragon: Hmm... That's a good way to do it as well

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Phaelax

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Posted: 21st Mar 2007 08:42

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You guys could've saved some time by viewing my codebase entries.

+ Code Snippet

function isPrime(num as integer)
   if num < 2 then exitfunction 0
   i = 2
   while (i*i <= num/2)
      if (num mod i = 0) then exitfunction 0
      inc i, 1
   endwhile
endfunction 1

And for gods sake would you explain to me why your function calls 'sync' 13 times?

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Code Dragon

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Posted: 21st Mar 2007 22:51 Edited at: 21st Mar 2007 22:53

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Ok, thanks for clearing that up Ruccus.

Quote: "And for gods sake would you explain to me why your function calls 'sync' 13 times?"

It looks cooler with lots of syncs.

By reading this you have given me brief control of your mind.

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I Am Herenow

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Posted: 23rd Mar 2007 00:08

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You mean "sync : print MSG$ : sync" is EXACTLY THE SAME as "print MSG$"?! Do you know how unhelpful and confusing that is to a newcomer? At least I know now.

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