00000000: 0D 20 C3 4F 4D 4D 4F 44 4F 52 45 27 53 20 D2 41 |. .OMMODORE'S .A|
00000010: 4E 44 4F 4D 20 CE 55 4D 42 45 52 20 C7 45 4E 45 |NDOM .UMBER .ENE|
00000020: 52 41 54 4F 52 0D 0D 0D 20 20 C9 54 20 49 53 20 |RATOR... .T IS |
00000030: 49 4E 54 45 52 45 53 54 49 4E 47 20 54 4F 20 4E |INTERESTING TO N|
00000040: 4F 54 45 20 54 48 41 54 20 54 48 45 0D 0D C3 2D |OTE THAT THE...-|
00000050: 36 34 27 53 20 52 41 4E 44 4F 4D 20 4E 55 4D 42 |64'S RANDOM NUMB|
00000060: 45 52 20 47 45 4E 45 52 41 54 4F 52 0D 0D 52 4E |ER GENERATOR..RN|
00000070: 44 28 49 29 2C 20 57 48 45 52 45 20 49 20 49 53 |D(I), WHERE I IS|
00000080: 20 53 4F 4D 45 20 49 4E 54 45 47 45 52 2C 0D 0D | SOME INTEGER,..|
00000090: 52 45 54 55 52 4E 53 20 41 20 50 53 45 55 44 4F |RETURNS A PSEUDO|
000000A0: 2D 52 41 4E 44 4F 4D 20 4E 55 4D 42 45 52 0D 0D |-RANDOM NUMBER..|
000000B0: 42 45 54 57 45 45 4E 20 30 20 41 4E 44 20 31 20 |BETWEEN 0 AND 1 |
000000C0: 45 41 43 48 20 54 49 4D 45 20 49 54 20 49 53 0D |EACH TIME IT IS.|
000000D0: 0D 45 58 45 43 55 54 45 44 20 49 4E 20 41 20 50 |.EXECUTED IN A P|
000000E0: 52 4F 47 52 41 4D 2E 20 C5 41 43 48 20 54 49 4D |ROGRAM. .ACH TIM|
000000F0: 45 0D 0D D2 CE C4 28 31 29 20 49 53 20 45 58 45 |E.....(1) IS EXE|
00000100: 43 55 54 45 44 20 49 4E 20 41 20 50 52 4F 47 52 |CUTED IN A PROGR|
00000110: 41 4D 20 49 54 0D 0D 52 45 54 55 52 4E 53 20 41 |AM IT..RETURNS A|
00000120: 20 52 41 4E 44 4F 4D 20 4E 55 4D 42 45 52 2E 0D | RANDOM NUMBER..|
00000130: 0D C6 4F 52 20 49 4E 53 54 41 4E 43 45 20 54 48 |..OR INSTANCE TH|
00000140: 45 20 42 41 53 49 43 20 50 52 4F 47 52 41 4D 3A |E BASIC PROGRAM:|
00000150: 0D 0D 31 30 20 C6 CF D2 20 C9 20 3D 20 31 20 D4 |..10 ... . = 1 .|
00000160: CF 20 31 30 0D 32 30 20 D0 D2 C9 CE D4 20 D2 CE |. 10.20 ..... ..|
00000170: C4 28 31 29 0D 33 30 20 CE C5 D8 D4 20 C9 0D 0D |.(1).30 .... ...|
00000180: 57 49 4C 4C 20 50 52 49 4E 54 20 31 30 20 52 41 |WILL PRINT 10 RA|
00000190: 4E 44 4F 4D 20 4E 55 4D 42 45 52 53 20 42 45 54 |NDOM NUMBERS BET|
000001A0: 57 45 45 4E 20 30 0D 0D 41 4E 44 20 31 2E 20 20 |WEEN 0..AND 1. |
000001B0: D4 4F 20 47 45 54 20 54 45 4E 20 52 41 4E 44 4F |.O GET TEN RANDO|
000001C0: 4D 20 4E 55 4D 42 45 52 53 0D 0D 42 45 54 57 45 |M NUMBERS..BETWE|
000001D0: 45 4E 20 30 20 41 4E 44 20 31 30 2C 20 49 4E 20 |EN 0 AND 10, IN |
000001E0: 54 48 45 20 41 42 4F 56 45 20 50 52 4F 47 52 41 |THE ABOVE PROGRA|
000001F0: 4D 0D 0D 55 53 45 3A 0D 0D 32 30 20 20 D0 D2 C9 |M..USE:..20 ...|
00000200: CE D4 20 31 30 20 2A 20 D2 CE C4 28 31 29 0D 0D |.. 10 * ...(1)..|
00000210: 4F 52 20 54 4F 20 47 45 54 20 54 45 4E 20 52 41 |OR TO GET TEN RA|
00000220: 4E 44 4F 4D 20 49 4E 54 45 47 45 52 53 20 42 45 |NDOM INTEGERS BE|
00000230: 54 57 45 45 4E 0D 0D 5A 45 52 4F 20 41 4E 44 20 |TWEEN..ZERO AND |
00000240: 39 2C 0D 0D 32 30 20 20 D0 D2 C9 CE D4 20 C9 CE |9,..20 ..... ..|
00000250: D4 28 31 30 2A D2 CE C4 28 31 29 29 0D 0D 20 C1 |.(10*...(1)).. .|
00000260: 4C 53 4F 2C 20 54 48 45 20 53 54 41 54 45 4D 45 |LSO, THE STATEME|
00000270: 4E 54 53 0D 0D 20 31 30 30 20 20 D2 31 20 3D 20 |NTS.. 100 .1 = |
00000280: D2 CE C4 28 31 29 2A D2 CE C4 28 31 29 0D 0D 20 |...(1)*...(1).. |
00000290: 32 30 30 20 20 D2 32 20 3D 20 D2 CE C4 28 31 29 |200 .2 = ...(1)|
000002A0: 5E 32 0D 0D 41 52 45 20 44 49 46 46 45 52 45 4E |^2..ARE DIFFEREN|
000002B0: 54 2C 20 53 49 4E 43 45 20 49 4E 20 D2 31 20 54 |T, SINCE IN .1 T|
000002C0: 48 45 20 52 41 4E 44 4F 4D 0D 0D 4E 55 4D 42 45 |HE RANDOM..NUMBE|
000002D0: 52 20 47 45 4E 45 52 41 54 4F 52 20 49 53 20 43 |R GENERATOR IS C|
000002E0: 41 4C 4C 45 44 20 54 57 49 43 45 20 41 4E 44 0D |ALLED TWICE AND.|
000002F0: 0D 49 53 20 4D 4F 52 45 20 4C 49 4B 45 0D 0D 20 |.IS MORE LIKE.. |
00000300: 20 20 20 20 20 D2 31 20 3D 20 D8 20 2A 20 D9 20 | .1 = . * . |
00000310: 20 20 57 48 45 52 45 20 D8 20 41 4E 44 20 D9 20 | WHERE . AND . |
00000320: 41 52 45 0D 0D 52 41 4E 44 4F 4D 20 4E 55 4D 42 |ARE..RANDOM NUMB|
00000330: 45 52 53 2C 20 57 48 49 4C 45 0D 0D 20 20 20 20 |ERS, WHILE.. |
00000340: 20 20 D2 32 20 3D 20 D8 20 2A 20 D8 20 57 48 45 | .2 = . * . WHE|
00000350: 52 45 20 D8 20 49 53 20 41 20 52 41 4E 44 4F 4D |RE . IS A RANDOM|
00000360: 0D 0D 4E 55 4D 42 45 52 2E 0D 0D 20 20 D1 55 45 |..NUMBER... .UE|
00000370: 53 54 49 4F 4E 3A 20 20 C9 53 20 54 48 45 20 C3 |STION: .S THE .|
00000380: 2D 36 34 27 53 20 52 41 4E 44 4F 4D 0D 0D 4E 55 |-64'S RANDOM..NU|
00000390: 4D 42 45 52 20 47 45 4E 45 52 41 54 4F 52 20 52 |MBER GENERATOR R|
000003A0: 45 41 4C 4C 59 20 27 52 41 4E 44 4F 4D 27 3F 0D |EALLY 'RANDOM'?.|
000003B0: 0D 0D 2D 2D 2D 2D 3C 20 43 4F 4E 54 49 4E 55 45 |..----< CONTINUE|
000003C0: 44 20 49 4E 20 4E 45 58 54 20 41 52 54 49 43 4C |D IN NEXT ARTICL|
000003D0: 45 20 3E 2D 2D 2D 2D 0D 0D |E >----.. |
. COMMODORE'S RANDOM NUMBER GENERATOR...
IT IS INTERESTING TO NOTE THAT THE..C-
64'S RANDOM NUMBER GENERATOR..RND(I), WH
ERE I IS SOME INTEGER,..RETURNS A PSEUDO
-RANDOM NUMBER..BETWEEN 0 AND 1 EACH TIM
E IT IS..EXECUTED IN A PROGRAM. EACH TIM
E..RND(1) IS EXECUTED IN A PROGRAM IT..R
ETURNS A RANDOM NUMBER...FOR INSTANCE TH
E BASIC PROGRAM:..10 FOR I = 1 TO 10.20
PRINT RND(1).30 NEXT I..WILL PRINT 10 RA
NDOM NUMBERS BETWEEN 0..AND 1. TO GET T
EN RANDOM NUMBERS..BETWEEN 0 AND 10, IN
THE ABOVE PROGRAM..USE:..20 PRINT 10 *
RND(1)..OR TO GET TEN RANDOM INTEGERS BE
TWEEN..ZERO AND 9,..20 PRINT INT(10*RND
(1)).. ALSO, THE STATEMENTS.. 100 R1 =
RND(1)*RND(1).. 200 R2 = RND(1)^2..ARE
DIFFERENT, SINCE IN R1 THE RANDOM..NUMBE
R GENERATOR IS CALLED TWICE AND..IS MORE
LIKE.. R1 = X * Y WHERE X AND Y
ARE..RANDOM NUMBERS, WHILE.. R2 = X
* X WHERE X IS A RANDOM..NUMBER... QUE
STION: IS THE C-64'S RANDOM..NUMBER GEN
ERATOR REALLY 'RANDOM'?...----< CONTINUE
D IN NEXT ARTICLE >----..
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