00000000: 00 80 5E 55 3A 48 41 43 4B 45 52 0D 0D 0D 20 20 |..^U:HACKER... |
00000010: 20 20 20 20 20 CD C1 CB C9 CE C7 20 C1 20 C2 C5 | ...... . ..|
00000020: D4 D4 C5 D2 20 C2 D5 C2 C2 CC C5 0D 20 20 20 20 |.... ....... |
00000030: 20 20 20 20 20 20 20 20 20 20 20 20 20 42 59 0D | BY.|
00000040: 20 20 20 20 20 20 20 20 20 20 20 D2 4F 59 41 4C | .OYAL|
00000050: 20 C3 2E 20 CA 4F 4E 45 53 0D 0D 0D C3 CF CD CD | .. .ONES.......|
00000060: CF C4 CF D2 C5 20 CD C1 C7 C1 DA C9 CE C5 0D CA |..... ..........|
00000070: 55 4C 59 20 31 39 38 37 0D 0D 0D 20 20 C2 55 42 |ULY 1987... .UB|
00000080: 42 4C 45 20 53 4F 52 54 53 2C 20 55 53 55 41 4C |BLE SORTS, USUAL|
00000090: 4C 59 20 54 48 45 20 46 49 52 53 54 0D 53 4F 52 |LY THE FIRST.SOR|
000000A0: 54 49 4E 47 20 52 4F 55 54 49 4E 45 53 20 41 20 |TING ROUTINES A |
000000B0: 42 45 47 49 4E 4E 49 4E 47 0D 50 52 4F 47 52 41 |BEGINNING.PROGRA|
000000C0: 4D 4D 45 52 20 4C 45 41 52 4E 53 2C 20 41 52 45 |MMER LEARNS, ARE|
000000D0: 20 4E 4F 54 4F 52 49 4F 55 53 4C 59 0D 53 4C 4F | NOTORIOUSLY.SLO|
000000E0: 57 2E 20 20 D7 48 49 4C 45 20 54 48 45 59 20 41 |W. .HILE THEY A|
000000F0: 52 45 4E 27 54 20 47 4F 4F 44 20 46 4F 52 0D 4C |REN'T GOOD FOR.L|
00000100: 45 4E 47 54 48 59 20 53 4F 52 54 49 4E 47 20 54 |ENGTHY SORTING T|
00000110: 41 53 4B 53 2C 20 42 55 42 42 4C 45 20 53 4F 52 |ASKS, BUBBLE SOR|
00000120: 54 53 0D 41 52 45 20 51 55 49 43 4B 20 41 4E 44 |TS.ARE QUICK AND|
00000130: 20 45 41 53 59 20 54 4F 20 57 52 49 54 45 2E 20 | EASY TO WRITE. |
00000140: C5 56 45 4E 0D 45 58 50 45 52 49 45 4E 43 45 44 |.VEN.EXPERIENCED|
00000150: 20 50 52 4F 47 52 41 4D 4D 45 52 53 20 55 53 45 | PROGRAMMERS USE|
00000160: 20 54 48 45 4D 20 57 48 45 4E 0D 53 4F 52 54 49 | THEM WHEN.SORTI|
00000170: 4E 47 20 54 49 4D 45 20 49 53 20 4E 4F 54 20 4F |NG TIME IS NOT O|
00000180: 56 45 52 4C 59 20 49 4D 50 4F 52 54 41 4E 54 2E |VERLY IMPORTANT.|
00000190: 0D C2 45 53 49 44 45 53 2C 20 49 4D 50 52 4F 56 |..ESIDES, IMPROV|
000001A0: 45 4D 45 4E 54 53 20 43 41 4E 20 42 45 20 4D 41 |EMENTS CAN BE MA|
000001B0: 44 45 20 54 4F 0D 54 48 45 20 22 53 54 41 4E 44 |DE TO.THE "STAND|
000001C0: 41 52 44 22 20 42 55 42 42 4C 45 20 53 4F 52 54 |ARD" BUBBLE SORT|
000001D0: 20 54 4F 20 4D 41 4B 45 20 49 54 0D 46 41 53 54 | TO MAKE IT.FAST|
000001E0: 45 52 20 41 4E 44 20 4D 4F 52 45 20 45 46 46 49 |ER AND MORE EFFI|
000001F0: 43 49 45 4E 54 2E 0D 0D 20 20 D2 4F 59 41 4C 20 |CIENT... .OYAL |
00000200: C3 2E 20 CA 4F 4E 45 53 27 20 50 52 4F 47 52 41 |.. .ONES' PROGRA|
00000210: 4D 20 53 48 4F 57 53 20 46 49 56 45 0D 44 49 46 |M SHOWS FIVE.DIF|
00000220: 46 45 52 45 4E 54 20 42 55 42 42 4C 45 20 53 4F |FERENT BUBBLE SO|
00000230: 52 54 20 52 4F 55 54 49 4E 45 53 20 41 54 0D 57 |RT ROUTINES AT.W|
00000240: 4F 52 4B 2E 20 20 D9 4F 55 20 43 41 4E 20 49 4E |ORK. .OU CAN IN|
00000250: 43 4F 52 50 4F 52 41 54 45 20 54 48 45 20 4D 4F |CORPORATE THE MO|
00000260: 52 45 0D 45 46 46 49 43 49 45 4E 54 20 52 4F 55 |RE.EFFICIENT ROU|
00000270: 54 49 4E 45 53 20 49 4E 20 59 4F 55 52 20 4F 57 |TINES IN YOUR OW|
00000280: 4E 0D 50 52 4F 47 52 41 4D 53 20 54 4F 20 49 4D |N.PROGRAMS TO IM|
00000290: 50 52 4F 56 45 20 54 48 45 49 52 20 53 50 45 45 |PROVE THEIR SPEE|
000002A0: 44 2E 0D 0D 20 20 D4 48 45 20 46 49 52 53 54 20 |D... .HE FIRST |
000002B0: 52 4F 55 54 49 4E 45 20 44 45 4D 4F 4E 53 54 52 |ROUTINE DEMONSTR|
000002C0: 41 54 45 53 20 54 48 45 0D 22 53 54 41 4E 44 41 |ATES THE."STANDA|
000002D0: 52 44 22 20 42 55 42 42 4C 45 20 53 4F 52 54 2E |RD" BUBBLE SORT.|
000002E0: 20 20 D4 48 45 20 53 45 43 4F 4E 44 0D 52 4F 55 | .HE SECOND.ROU|
000002F0: 54 49 4E 45 20 53 48 4F 57 53 20 54 48 41 54 20 |TINE SHOWS THAT |
00000300: 55 53 49 4E 47 20 46 4C 41 47 53 20 49 4E 20 41 |USING FLAGS IN A|
00000310: 0D C2 C1 D3 C9 C3 20 53 4F 52 54 20 4F 46 54 45 |...... SORT OFTE|
00000320: 4E 20 43 41 55 53 45 53 20 41 20 4C 4F 53 53 20 |N CAUSES A LOSS |
00000330: 4F 46 0D 53 50 45 45 44 2E 20 20 D4 48 45 20 22 |OF.SPEED. .HE "|
00000340: D7 52 49 4E 4B 4C 45 22 20 52 4F 55 54 49 4E 45 |.RINKLE" ROUTINE|
00000350: 20 53 4F 52 54 53 0D 54 48 45 20 4C 49 53 54 20 | SORTS.THE LIST |
00000360: 41 54 20 45 41 43 48 20 53 54 45 50 20 49 4E 20 |AT EACH STEP IN |
00000370: 54 48 45 20 4F 55 54 45 52 0D 4C 4F 4F 50 2C 20 |THE OUTER.LOOP, |
00000380: 54 48 55 53 20 22 46 4F 52 45 53 48 4F 52 54 45 |THUS "FORESHORTE|
00000390: 4E 49 4E 47 22 20 54 48 45 20 49 4E 4E 45 52 0D |NING" THE INNER.|
000003A0: 4C 4F 4F 50 2E 20 20 D4 48 45 20 46 4F 55 52 54 |LOOP. .HE FOURT|
000003B0: 48 20 52 4F 55 54 49 4E 45 20 49 53 20 54 48 45 |H ROUTINE IS THE|
000003C0: 0D 22 53 49 4D 50 4C 45 22 20 53 4F 52 54 20 57 |."SIMPLE" SORT W|
000003D0: 48 49 43 48 20 54 48 45 20 41 55 54 48 4F 52 20 |HICH THE AUTHOR |
000003E0: 53 41 59 53 0D 48 45 20 55 53 45 53 20 49 4E 20 |SAYS.HE USES IN |
000003F0: 48 49 53 20 43 41 53 55 41 4C 20 50 52 4F 47 52 |HIS CASUAL PROGR|
00000400: 41 4D 4D 49 4E 47 2E 0D C1 4E 44 20 54 48 45 20 |AMMING...ND THE |
00000410: 46 49 4E 41 4C 20 52 4F 55 54 49 4E 45 2C 20 54 |FINAL ROUTINE, T|
00000420: 48 45 0D 22 CD 2D D3 45 41 52 43 48 2C 22 20 49 |HE.".-.EARCH," I|
00000430: 53 20 4E 45 41 52 4C 59 20 54 57 49 43 45 20 41 |S NEARLY TWICE A|
00000440: 53 20 46 41 53 54 0D 41 53 20 54 48 45 20 53 54 |S FAST.AS THE ST|
00000450: 41 4E 44 41 52 44 20 42 55 42 42 4C 45 20 53 4F |ANDARD BUBBLE SO|
00000460: 52 54 2E 0D 0D 0D C4 C9 D3 CB 20 C6 C9 CC C5 D3 |RT........ .....|
00000470: 20 D4 C8 C9 D3 20 D0 D2 CF C7 D2 C1 CD 20 D5 D3 | .... ....... ..|
00000480: C5 D3 3A 0D 0D C2 C5 D4 D4 C5 D2 20 C2 D5 C2 C2 |..:........ ....|
00000490: CC C5 20 20 20 20 20 20 D4 2E C2 C5 D4 D4 C5 D2 |.. ........|
000004A0: 20 C2 D5 C2 C2 CC C5 0D 0D 20 20 20 20 20 20 20 | ........ |
000004B0: 20 2A 2A 2A 2A 20 C5 4E 44 20 CF 46 20 D4 45 58 | **** .ND .F .EX|
000004C0: 54 20 2A 2A 2A 2A 0D |T ****. |
..^U:HACKER... MAKING A BETTER BUB
BLE. BY. ROYAL
C. JONES...COMMODORE MAGAZINE.JULY 1987
... BUBBLE SORTS, USUALLY THE FIRST.SOR
TING ROUTINES A BEGINNING.PROGRAMMER LEA
RNS, ARE NOTORIOUSLY.SLOW. WHILE THEY A
REN'T GOOD FOR.LENGTHY SORTING TASKS, BU
BBLE SORTS.ARE QUICK AND EASY TO WRITE.
EVEN.EXPERIENCED PROGRAMMERS USE THEM WH
EN.SORTING TIME IS NOT OVERLY IMPORTANT.
.BESIDES, IMPROVEMENTS CAN BE MADE TO.TH
E "STANDARD" BUBBLE SORT TO MAKE IT.FAST
ER AND MORE EFFICIENT... ROYAL C. JONES
' PROGRAM SHOWS FIVE.DIFFERENT BUBBLE SO
RT ROUTINES AT.WORK. YOU CAN INCORPORAT
E THE MORE.EFFICIENT ROUTINES IN YOUR OW
N.PROGRAMS TO IMPROVE THEIR SPEED... TH
E FIRST ROUTINE DEMONSTRATES THE."STANDA
RD" BUBBLE SORT. THE SECOND.ROUTINE SHO
WS THAT USING FLAGS IN A.BASIC SORT OFTE
N CAUSES A LOSS OF.SPEED. THE "WRINKLE"
ROUTINE SORTS.THE LIST AT EACH STEP IN
THE OUTER.LOOP, THUS "FORESHORTENING" TH
E INNER.LOOP. THE FOURTH ROUTINE IS THE
."SIMPLE" SORT WHICH THE AUTHOR SAYS.HE
USES IN HIS CASUAL PROGRAMMING..AND THE
FINAL ROUTINE, THE."M-SEARCH," IS NEARLY
TWICE AS FAST.AS THE STANDARD BUBBLE SO
RT....DISK FILES THIS PROGRAM USES:..BET
TER BUBBLE T.BETTER BUBBLE..
**** END OF TEXT ****.
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