Home » Archimedes archive » Archimedes World » AW-1995-04-Disc1.adf » Disk1Apr95 » !AWApr95/Goodies/Draw/SpiroGraph
!AWApr95/Goodies/Draw/SpiroGraph
This website contains an archive of files for the Acorn Electron, BBC Micro, Acorn Archimedes, Commodore 16 and Commodore 64 computers, which Dominic Ford has rescued from his private collection of floppy disks and cassettes.
Some of these files were originally commercial releases in the 1980s and 1990s, but they are now widely available online. I assume that copyright over them is no longer being asserted. If you own the copyright and would like files to be removed, please contact me.
Tape/disk: | Home » Archimedes archive » Archimedes World » AW-1995-04-Disc1.adf » Disk1Apr95 |
Filename: | !AWApr95/Goodies/Draw/SpiroGraph |
Read OK: | ✔ |
File size: | 0480 bytes |
Load address: | 0000 |
Exec address: | 0000 |
Duplicates
There are 5 duplicate copies of this file in the archive:
- Archimedes archive » Archimedes World » AW-1995-03-Disc1.adf » Disk1Mar95 » !AWMar95/Goodies/DrawBasic/SpiroGraph
- Archimedes archive » Archimedes World » AW-1995-04-Disc1.adf » Disk1Apr95 » !AWApr95/Goodies/Draw/SpiroGraph
- Archimedes archive » Archimedes World » AW-1995-01-Disc1.adf » Disk1Jan95 » !AWJan95/Goodies/DrawBasic/!DrawBasic/Library/SpiroGraph
- Archimedes archive » Archimedes World » AW-1994-12-Disc1.adf » Disk1Dec94 » !AWDec94/Goodies/DrawBasic/!DrawBasic/Library/TestProgs/SpiroGraph
- Archimedes archive » Archimedes World » AW-1995-05-Disc1.adf » AWMay95_1 » InTheMag/DrawBasic/SpiroGraph
- Archimedes archive » Archimedes World » AW-1995-02-Disc1.adf » Disk1Feb95 » !AWFeb95/Goodies/DrawBasic/!DrawBasic/Library/SpiroGraph
File contents
REM SpiroGraph R=10*(30+RND(10)) : r=10*(5+RND(10)) : m=r/FNgcd(R,r) : d=RND(r) �SetUp �Width(1) �PathBegin(spiro) FOR i=0 TO m*n IF i MOD n =0 THEN PRINT TAB(0,0);" ": PRINT TAB(0,0)"Number of turn="; m-(i DIV n) �Wheel(r,theta) NEXT �PathEnd �Quit DEF �SetUp �Inches CIRCLE (FNDrawDx>>8)+640,(FNDrawDy>>8)+512,R n=100 : c=COS(2*PI/n) : s=SIN(2*PI/n) C=COS(R*2*PI/n/r) : S=SIN(R*2*PI/n/r) �FrameSize(0,0,1280/180,1024/180) �FrameCoords(0,1280,0,1024) �Origin(640,512) ENDPROC DEF �Wheel(r,theta) IF i=0 THEN GCOL 3,11 x_wheel=(R-r) : y_wheel=0 x_hole=d : y_hole=0 CIRCLE (FNDrawDx>>8)+x_wheel+640,(FNDrawDy>>8)+y_wheel+512,r ELSE GCOL 3,11 xx=(FNDrawDx>>8)+x_wheel+640 : yy=(FNDrawDy>>8)+y_wheel+512 CIRCLE xx,yy,r �Move(x_wheel+x_hole,y_wheel+y_hole) X=x_wheel*c-y_wheel*s : Y=x_wheel*s+y_wheel*c x_wheel=X : y_wheel=Y X=x_hole*C+y_hole*S : Y=-x_hole*S+y_hole*C x_hole=X : y_hole=Y GCOL 11 �Draw(x_wheel+x_hole,y_wheel+y_hole) WAIT GCOL 3,11 CIRCLE (FNDrawDx>>8)+x_wheel+640,(FNDrawDy>>8)+y_wheel+512,r WAIT ENDIF ENDPROC DEF �gcd(a,b) IF b=0 THEN=a ELSE=�gcd(b,a MOD b)
00000000 52 45 4d 20 53 70 69 72 6f 47 72 61 70 68 0a 0a |REM SpiroGraph..| 00000010 52 3d 31 30 2a 28 33 30 2b 52 4e 44 28 31 30 29 |R=10*(30+RND(10)| 00000020 29 20 3a 20 72 3d 31 30 2a 28 35 2b 52 4e 44 28 |) : r=10*(5+RND(| 00000030 31 30 29 29 20 3a 20 6d 3d 72 2f 46 4e 67 63 64 |10)) : m=r/FNgcd| 00000040 28 52 2c 72 29 20 3a 20 64 3d 52 4e 44 28 72 29 |(R,r) : d=RND(r)| 00000050 0a a0 53 65 74 55 70 0a a0 57 69 64 74 68 28 31 |..SetUp..Width(1| 00000060 29 0a a0 50 61 74 68 42 65 67 69 6e 28 73 70 69 |)..PathBegin(spi| 00000070 72 6f 29 0a 46 4f 52 20 69 3d 30 20 54 4f 20 6d |ro).FOR i=0 TO m| 00000080 2a 6e 0a 20 20 49 46 20 69 20 4d 4f 44 20 6e 20 |*n. IF i MOD n | 00000090 3d 30 20 54 48 45 4e 20 50 52 49 4e 54 20 54 41 |=0 THEN PRINT TA| 000000a0 42 28 30 2c 30 29 3b 22 20 20 20 20 20 20 20 20 |B(0,0);" | 000000b0 20 20 20 20 20 20 20 20 20 20 20 20 20 22 3a 20 | ": | 000000c0 50 52 49 4e 54 20 54 41 42 28 30 2c 30 29 22 4e |PRINT TAB(0,0)"N| 000000d0 75 6d 62 65 72 20 6f 66 20 74 75 72 6e 3d 22 3b |umber of turn=";| 000000e0 20 6d 2d 28 69 20 44 49 56 20 6e 29 0a 20 a0 57 | m-(i DIV n). .W| 000000f0 68 65 65 6c 28 72 2c 74 68 65 74 61 29 0a 20 4e |heel(r,theta). N| 00000100 45 58 54 0a a0 50 61 74 68 45 6e 64 0a a0 51 75 |EXT..PathEnd..Qu| 00000110 69 74 0a 0a 44 45 46 20 a0 53 65 74 55 70 0a a0 |it..DEF .SetUp..| 00000120 49 6e 63 68 65 73 0a 43 49 52 43 4c 45 20 28 46 |Inches.CIRCLE (F| 00000130 4e 44 72 61 77 44 78 3e 3e 38 29 2b 36 34 30 2c |NDrawDx>>8)+640,| 00000140 28 46 4e 44 72 61 77 44 79 3e 3e 38 29 2b 35 31 |(FNDrawDy>>8)+51| 00000150 32 2c 52 0a 6e 3d 31 30 30 20 3a 20 63 3d 43 4f |2,R.n=100 : c=CO| 00000160 53 28 32 2a 50 49 2f 6e 29 20 20 20 20 20 3a 20 |S(2*PI/n) : | 00000170 73 3d 53 49 4e 28 32 2a 50 49 2f 6e 29 0a 20 20 |s=SIN(2*PI/n). | 00000180 20 20 20 20 20 20 43 3d 43 4f 53 28 52 2a 32 2a | C=COS(R*2*| 00000190 50 49 2f 6e 2f 72 29 20 3a 20 53 3d 53 49 4e 28 |PI/n/r) : S=SIN(| 000001a0 52 2a 32 2a 50 49 2f 6e 2f 72 29 0a a0 46 72 61 |R*2*PI/n/r)..Fra| 000001b0 6d 65 53 69 7a 65 28 30 2c 30 2c 31 32 38 30 2f |meSize(0,0,1280/| 000001c0 31 38 30 2c 31 30 32 34 2f 31 38 30 29 20 20 20 |180,1024/180) | 000001d0 20 20 20 20 20 0a a0 46 72 61 6d 65 43 6f 6f 72 | ..FrameCoor| 000001e0 64 73 28 30 2c 31 32 38 30 2c 30 2c 31 30 32 34 |ds(0,1280,0,1024| 000001f0 29 0a a0 4f 72 69 67 69 6e 28 36 34 30 2c 35 31 |)..Origin(640,51| 00000200 32 29 0a 45 4e 44 50 52 4f 43 0a 0a 44 45 46 20 |2).ENDPROC..DEF | 00000210 a0 57 68 65 65 6c 28 72 2c 74 68 65 74 61 29 0a |.Wheel(r,theta).| 00000220 49 46 20 69 3d 30 20 54 48 45 4e 0a 20 47 43 4f |IF i=0 THEN. GCO| 00000230 4c 20 33 2c 31 31 0a 20 78 5f 77 68 65 65 6c 3d |L 3,11. x_wheel=| 00000240 28 52 2d 72 29 20 3a 20 79 5f 77 68 65 65 6c 3d |(R-r) : y_wheel=| 00000250 30 0a 20 78 5f 68 6f 6c 65 3d 64 20 20 20 20 20 |0. x_hole=d | 00000260 20 3a 20 79 5f 68 6f 6c 65 3d 30 0a 20 43 49 52 | : y_hole=0. CIR| 00000270 43 4c 45 20 28 46 4e 44 72 61 77 44 78 3e 3e 38 |CLE (FNDrawDx>>8| 00000280 29 2b 78 5f 77 68 65 65 6c 2b 36 34 30 2c 28 46 |)+x_wheel+640,(F| 00000290 4e 44 72 61 77 44 79 3e 3e 38 29 2b 79 5f 77 68 |NDrawDy>>8)+y_wh| 000002a0 65 65 6c 2b 35 31 32 2c 72 0a 45 4c 53 45 0a 20 |eel+512,r.ELSE. | 000002b0 47 43 4f 4c 20 33 2c 31 31 0a 20 78 78 3d 28 46 |GCOL 3,11. xx=(F| 000002c0 4e 44 72 61 77 44 78 3e 3e 38 29 2b 78 5f 77 68 |NDrawDx>>8)+x_wh| 000002d0 65 65 6c 2b 36 34 30 20 3a 20 79 79 3d 28 46 4e |eel+640 : yy=(FN| 000002e0 44 72 61 77 44 79 3e 3e 38 29 2b 79 5f 77 68 65 |DrawDy>>8)+y_whe| 000002f0 65 6c 2b 35 31 32 0a 20 43 49 52 43 4c 45 20 78 |el+512. CIRCLE x| 00000300 78 2c 79 79 2c 72 0a 20 a0 4d 6f 76 65 28 78 5f |x,yy,r. .Move(x_| 00000310 77 68 65 65 6c 2b 78 5f 68 6f 6c 65 2c 79 5f 77 |wheel+x_hole,y_w| 00000320 68 65 65 6c 2b 79 5f 68 6f 6c 65 29 0a 20 58 3d |heel+y_hole). X=| 00000330 78 5f 77 68 65 65 6c 2a 63 2d 79 5f 77 68 65 65 |x_wheel*c-y_whee| 00000340 6c 2a 73 20 3a 20 59 3d 78 5f 77 68 65 65 6c 2a |l*s : Y=x_wheel*| 00000350 73 2b 79 5f 77 68 65 65 6c 2a 63 0a 20 78 5f 77 |s+y_wheel*c. x_w| 00000360 68 65 65 6c 3d 58 20 3a 20 79 5f 77 68 65 65 6c |heel=X : y_wheel| 00000370 3d 59 20 0a 20 58 3d 78 5f 68 6f 6c 65 2a 43 2b |=Y . X=x_hole*C+| 00000380 79 5f 68 6f 6c 65 2a 53 20 3a 20 59 3d 2d 78 5f |y_hole*S : Y=-x_| 00000390 68 6f 6c 65 2a 53 2b 79 5f 68 6f 6c 65 2a 43 0a |hole*S+y_hole*C.| 000003a0 20 78 5f 68 6f 6c 65 3d 58 20 3a 20 79 5f 68 6f | x_hole=X : y_ho| 000003b0 6c 65 3d 59 0a 0a 0a 20 20 47 43 4f 4c 20 31 31 |le=Y... GCOL 11| 000003c0 0a 20 a0 44 72 61 77 28 78 5f 77 68 65 65 6c 2b |. .Draw(x_wheel+| 000003d0 78 5f 68 6f 6c 65 2c 79 5f 77 68 65 65 6c 2b 79 |x_hole,y_wheel+y| 000003e0 5f 68 6f 6c 65 29 0a 20 57 41 49 54 0a 20 47 43 |_hole). WAIT. GC| 000003f0 4f 4c 20 33 2c 31 31 0a 0a 20 43 49 52 43 4c 45 |OL 3,11.. CIRCLE| 00000400 20 28 46 4e 44 72 61 77 44 78 3e 3e 38 29 2b 78 | (FNDrawDx>>8)+x| 00000410 5f 77 68 65 65 6c 2b 36 34 30 2c 28 46 4e 44 72 |_wheel+640,(FNDr| 00000420 61 77 44 79 3e 3e 38 29 2b 79 5f 77 68 65 65 6c |awDy>>8)+y_wheel| 00000430 2b 35 31 32 2c 72 0a 20 57 41 49 54 0a 45 4e 44 |+512,r. WAIT.END| 00000440 49 46 0a 0a 45 4e 44 50 52 4f 43 0a 0a 0a 44 45 |IF..ENDPROC...DE| 00000450 46 20 bb 67 63 64 28 61 2c 62 29 0a 49 46 20 62 |F .gcd(a,b).IF b| 00000460 3d 30 20 54 48 45 4e 3d 61 20 45 4c 53 45 3d bb |=0 THEN=a ELSE=.| 00000470 67 63 64 28 62 2c 61 20 4d 4f 44 20 62 29 0a 0a |gcd(b,a MOD b)..| 00000480