StarInfo/Geleit/4CUBES

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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 » Recent acquisitions » Acorn ADFS disks » adfs_AcornUser_199607.adf » Regulars
Filename:	StarInfo/Geleit/4CUBES
Read OK:	✔
File size:	0CDF bytes
Load address:	0000
Exec address:	0000

File contents

   10REM hypercubes program
   20REM (c) R Geleit Jan 1995
   30REM feel free to use/sell this code in your own programs
   40
   50REM pitch/roll with mouse
   60REM move forwards=menu; backwards=adjust
   70
   80ONERROR IFINKEY-1 RUN:ELSEMODE0:PRINTREPORT$;" in ";ERL;:MOUSE STEP 4:END
   90
  100MODE12
  110MODE9
  120
  130OFF
  140MOUSE OFF
  150MOUSE RECTANGLE &8000,&8000,&FFFF,&FFFF
  160MOUSE STEP 1
  170PROCpallette
  180ORIGIN 640,512
  190
  200N%=1:REM number of hypercubes
  210
  220ES%=2000:REM eye to screen in os units
  230EO%=2200:REM eye to origin in os units
  240
  250PROCread
  260PROCMakeCubes
  270
  280T=0
  290
  300p%=0
  310r%=0:REM to calculate deltap;deltar
  320
  330a%=1
  340b%=2
  350
  360REPEAT
  370
  380MOUSE x%,y%,m%
  390P%=p%-y%
  400R%=x%-r%
  410p%=y%
  420r%=x%
  430
  440C=COSRADP%
  450S=SINRADP%
  460C2=C*C
  470S2=S*S
  480SC=S*C
  490
  500c=COSRADR%
  510s=SINRADR%
  520c2=c*c
  530s2=s*s
  540sc=s*c
  550i=c2+s*s2
  560j=s2*c-sc
  570k=s2+s*c2
  580
  590T+=(m%AND1)-((m%AND2)>>1)+(T/2)*(m%=0)
  600
  610FORn%=1TON%
  620
  630W=W(n%)
  640X=X(n%)
  650Y=Y(n%)
  660Z=Z(n%)
  670
  680PROCtransform(W,X,Y,Z)
  690
  700W+=T
  710X+=T
  720Y+=T
  730Z+=T
  740
  750W(n%)=W
  760X(n%)=X
  770Y(n%)=Y
  780Z(n%)=Z
  790
  800M=W+X+Y+Z
  810WX=W-X
  820YZ=Y-Z
  830
  840FORA%=0TO15
  850
  860w=w(n%,A%):x=x(n%,A%):y=y(n%,A%):z=z(n%,A%)
  870PROCtransform(w,x,y,z)
  880w(n%,A%)=w:x(n%,A%)=x:y(n%,A%)=y:z(n%,A%)=z
  890
  900B=2*ES%/(EO%+w+x+y+z+M)
  910X%(A%)=B*(w-x+WX)
  920Y%(A%)=B*(y-z+YZ)
  930C%(A%)=32-((w+x+y+z)>>3)
  940
  950NEXT
  960
  970FORA%=0TO7
  980B%=A%+8
  990PROCcol(A%,B%)
 1000MOVEX%(A%),Y%(A%)
 1010DRAWX%(B%),Y%(B%)
 1020NEXT
 1030FORA%=0TO8 STEP8
 1040FORB%=0TO3
 1050C%=A%+B%
 1060D%=C%+4
 1070PROCcol(C%,D%)
 1080MOVEX%(C%),Y%(C%)
 1090DRAWX%(D%),Y%(D%)
 1100NEXT
 1110NEXT
 1120FORA%=0TO12 STEP4
 1130FORB%=0TO3
 1140C%=A%+B%
 1150D%=A%+((B%+1)AND3)
 1160PROCcol(C%,D%)
 1170MOVEX%(C%),Y%(C%)
 1180DRAWX%(D%),Y%(D%)
 1190NEXT
 1200NEXT
 1210
 1220NEXT
 1230
 1240SYS6,19
 1250SYS6,112,a%
 1260SYS6,113,b%
 1270CLS
 1280SWAP a%,b%
 1290
 1300UNTIL TRUE=FALSE
 1310
 1320DEFPROCcol(A%,B%)
 1330LOCALC%
 1340C%=(C%(A%)+C%(B%))>>1
 1350C%=C%>>2
 1360GCOL0,C%
 1370ENDPROC
 1380
 1390DEFPROCtransform(RETURN W,RETURN X,RETURN Y,RETURN Z)
 1400LOCALw,x,y,z
 1410
 1420w=(W-X+Y-Z)/2
 1430x=(-W+X+Y-Z)/2
 1440y=(-X-W+Y+Z)/2
 1450z=(X+W+Y+Z)/2
 1460
 1470W=i*w+j*x+sc*y
 1480X=sc*w+c2*x-s*y
 1490Y=j*w+k*x+c2*y
 1500Z=z
 1510
 1520w=(W-X-Y+Z)/2
 1530x=(-W+X-Y+Z)/2
 1540y=(X+W+Y+Z)/2
 1550z=(-X-W+Y+Z)/2
 1560
 1570W=C2*w-S2*x+SC*(y-z)
 1580X=-S2*w+C2*x+SC*(y-z)
 1590Y=-SC*(x+w)+C2*y+S2*z
 1600Z=SC*(x+w)+S2*y+C2*z
 1610
 1620ENDPROC
 1630
 1640DEFPROCMakeCubes
 1650LOCALn%,A%,R,P,w,x,y,z,M
 1660DIMW(N%),X(N%),Y(N%),Z(N%)
 1670FORn%=1TON%
 1680W(n%)=100-RND(200)
 1690X(n%)=100-RND(200)
 1700Y(n%)=100-RND(200)
 1710Z(n%)=100-RND(200)
 1720R=(RND(1)*PI*2)
 1730P=(RND(1)*PI*2)
 1740C=COSP
 1750S=SINP
 1760C2=C*C
 1770S2=S*S
 1780SC=S*C
 1790c=COSR
 1800s=SINR
 1810c2=c*c
 1820s2=s*s
 1830sc=s*c
 1840i=c2+s*s2
 1850j=s2*c-sc
 1860k=s2+s*c2
 1870M=RND(1)+1
 1880FORA%=0TO15
 1890w=w(n%,A%)*M:x=x(n%,A%)*M:y=y(n%,A%)*M:z=z(n%,A%)*M
 1900PROCtransform(w,x,y,z):REM initial rotation
 1910w(n%,A%)=w:x(n%,A%)=x:y(n%,A%)=y:z(n%,A%)=z
 1920NEXT
 1930NEXT
 1940ENDPROC
 1950
 1960DEFPROCpallette
 1970LOCALC%,T%
 1980FORC%=0TO15
 1990T%=(C%<<4)+C%
 2000COLOURC%,T%,T%,T%
 2010NEXT
 2020ENDPROC
 2030
 2040DEFPROCread
 2050LOCALT%,n%
 2060DIM w(N%,15),x(N%,15),y(N%,15),z(N%,15)
 2070DIM X%(15),Y%(15):REM for post perspective transformation
 2080DIM C%(15):REM colour
 2090FORn%=1TON%
 2100RESTORE
 2110FOR T%=0TO15
 2120READ w(n%,T%),x(n%,T%),y(n%,T%),z(n%,T%)
 2130NEXT
 2140NEXT
 2150ENDPROC
 2160
 2170DATA -50,-50,-50,-50
 2180DATA -50,-50,-50,+50
 2190DATA -50,-50,+50,+50
 2200DATA -50,-50,+50,-50
 2210
 2220DATA -50,+50,-50,-50
 2230DATA -50,+50,-50,+50
 2240DATA -50,+50,+50,+50
 2250DATA -50,+50,+50,-50
 2260
 2270DATA +50,-50,-50,-50
 2280DATA +50,-50,-50,+50
 2290DATA +50,-50,+50,+50
 2300DATA +50,-50,+50,-50
 2310
 2320DATA +50,+50,-50,-50
 2330DATA +50,+50,-50,+50
 2340DATA +50,+50,+50,+50
 2350DATA +50,+50,+50,-50
 2360


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�W=i*w+j*x+sc*y
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00000000  0d 00 0a 18 f4 20 68 79  70 65 72 63 75 62 65 73  |..... hypercubes|
00000010  20 70 72 6f 67 72 61 6d  0d 00 14 1b f4 20 28 63  | program..... (c|
00000020  29 20 52 20 47 65 6c 65  69 74 20 4a 61 6e 20 31  |) R Geleit Jan 1|
00000030  39 39 35 0d 00 1e 3a f4  20 66 65 65 6c 20 66 72  |995...:. feel fr|
00000040  65 65 20 74 6f 20 75 73  65 2f 73 65 6c 6c 20 74  |ee to use/sell t|
00000050  68 69 73 20 63 6f 64 65  20 69 6e 20 79 6f 75 72  |his code in your|
00000060  20 6f 77 6e 20 70 72 6f  67 72 61 6d 73 0d 00 28  | own programs..(|
00000070  04 0d 00 32 1b f4 20 70  69 74 63 68 2f 72 6f 6c  |...2.. pitch/rol|
00000080  6c 20 77 69 74 68 20 6d  6f 75 73 65 0d 00 3c 2a  |l with mouse..<*|
00000090  f4 20 6d 6f 76 65 20 66  6f 72 77 61 72 64 73 3d  |. move forwards=|
000000a0  6d 65 6e 75 3b 20 62 61  63 6b 77 61 72 64 73 3d  |menu; backwards=|
000000b0  61 64 6a 75 73 74 0d 00  46 04 0d 00 50 28 ee 85  |adjust..F...P(..|
000000c0  20 e7 a6 2d 31 20 f9 3a  8b eb 30 3a f1 f6 24 3b  | ..-1 .:..0:..$;|
000000d0  22 20 69 6e 20 22 3b 9e  3b 3a c8 97 20 88 20 34  |" in ";.;:.. . 4|
000000e0  3a e0 0d 00 5a 04 0d 00  64 07 eb 31 32 0d 00 6e  |:...Z...d..12..n|
000000f0  06 eb 39 0d 00 78 04 0d  00 82 05 87 0d 00 8c 08  |..9..x..........|
00000100  c8 97 20 87 0d 00 96 21  c8 97 20 c8 93 20 26 38  |.. ....!.. .. &8|
00000110  30 30 30 2c 26 38 30 30  30 2c 26 46 46 46 46 2c  |000,&8000,&FFFF,|
00000120  26 46 46 46 46 0d 00 a0  0a c8 97 20 88 20 31 0d  |&FFFF...... . 1.|
00000130  00 aa 0d f2 70 61 6c 6c  65 74 74 65 0d 00 b4 0e  |....pallette....|
00000140  c8 91 20 36 34 30 2c 35  31 32 0d 00 be 04 0d 00  |.. 640,512......|
00000150  c8 1f 4e 25 3d 31 3a f4  20 6e 75 6d 62 65 72 20  |..N%=1:. number |
00000160  6f 66 20 68 79 70 65 72  63 75 62 65 73 0d 00 d2  |of hypercubes...|
00000170  04 0d 00 dc 28 45 53 25  3d 32 30 30 30 3a f4 20  |....(ES%=2000:. |
00000180  65 79 65 20 74 6f 20 73  63 72 65 65 6e 20 69 6e  |eye to screen in|
00000190  20 6f 73 20 75 6e 69 74  73 0d 00 e6 28 45 4f 25  | os units...(EO%|
000001a0  3d 32 32 30 30 3a f4 20  65 79 65 20 74 6f 20 6f  |=2200:. eye to o|
000001b0  72 69 67 69 6e 20 69 6e  20 6f 73 20 75 6e 69 74  |rigin in os unit|
000001c0  73 0d 00 f0 04 0d 00 fa  09 f2 72 65 61 64 0d 01  |s.........read..|
000001d0  04 0e f2 4d 61 6b 65 43  75 62 65 73 0d 01 0e 04  |...MakeCubes....|
000001e0  0d 01 18 07 54 3d 30 0d  01 22 04 0d 01 2c 08 70  |....T=0.."...,.p|
000001f0  25 3d 30 0d 01 36 25 72  25 3d 30 3a f4 20 74 6f  |%=0..6%r%=0:. to|
00000200  20 63 61 6c 63 75 6c 61  74 65 20 64 65 6c 74 61  | calculate delta|
00000210  70 3b 64 65 6c 74 61 72  0d 01 40 04 0d 01 4a 08  |p;deltar..@...J.|
00000220  61 25 3d 31 0d 01 54 08  62 25 3d 32 0d 01 5e 04  |a%=1..T.b%=2..^.|
00000230  0d 01 68 05 f5 0d 01 72  04 0d 01 7c 0f c8 97 20  |..h....r...|... |
00000240  78 25 2c 79 25 2c 6d 25  0d 01 86 0c 50 25 3d 70  |x%,y%,m%....P%=p|
00000250  25 2d 79 25 0d 01 90 0c  52 25 3d 78 25 2d 72 25  |%-y%....R%=x%-r%|
00000260  0d 01 9a 09 70 25 3d 79  25 0d 01 a4 09 72 25 3d  |....p%=y%....r%=|
00000270  78 25 0d 01 ae 04 0d 01  b8 0a 43 3d 9b b2 50 25  |x%........C=..P%|
00000280  0d 01 c2 0a 53 3d b5 b2  50 25 0d 01 cc 0a 43 32  |....S=..P%....C2|
00000290  3d 43 2a 43 0d 01 d6 0a  53 32 3d 53 2a 53 0d 01  |=C*C....S2=S*S..|
000002a0  e0 0a 53 43 3d 53 2a 43  0d 01 ea 04 0d 01 f4 0a  |..SC=S*C........|
000002b0  63 3d 9b b2 52 25 0d 01  fe 0a 73 3d b5 b2 52 25  |c=..R%....s=..R%|
000002c0  0d 02 08 0a 63 32 3d 63  2a 63 0d 02 12 0a 73 32  |....c2=c*c....s2|
000002d0  3d 73 2a 73 0d 02 1c 0a  73 63 3d 73 2a 63 0d 02  |=s*s....sc=s*c..|
000002e0  26 0d 69 3d 63 32 2b 73  2a 73 32 0d 02 30 0d 6a  |&.i=c2+s*s2..0.j|
000002f0  3d 73 32 2a 63 2d 73 63  0d 02 3a 0d 6b 3d 73 32  |=s2*c-sc..:.k=s2|
00000300  2b 73 2a 63 32 0d 02 44  04 0d 02 4e 26 54 2b 3d  |+s*c2..D...N&T+=|
00000310  28 6d 25 80 31 29 2d 28  28 6d 25 80 32 29 3e 3e  |(m%.1)-((m%.2)>>|
00000320  31 29 2b 28 54 2f 32 29  2a 28 6d 25 3d 30 29 0d  |1)+(T/2)*(m%=0).|
00000330  02 58 04 0d 02 62 0c e3  6e 25 3d 31 b8 4e 25 0d  |.X...b..n%=1.N%.|
00000340  02 6c 04 0d 02 76 0b 57  3d 57 28 6e 25 29 0d 02  |.l...v.W=W(n%)..|
00000350  80 0b 58 3d 58 28 6e 25  29 0d 02 8a 0b 59 3d 59  |..X=X(n%)....Y=Y|
00000360  28 6e 25 29 0d 02 94 0b  5a 3d 5a 28 6e 25 29 0d  |(n%)....Z=Z(n%).|
00000370  02 9e 04 0d 02 a8 17 f2  74 72 61 6e 73 66 6f 72  |........transfor|
00000380  6d 28 57 2c 58 2c 59 2c  5a 29 0d 02 b2 04 0d 02  |m(W,X,Y,Z)......|
00000390  bc 08 57 2b 3d 54 0d 02  c6 08 58 2b 3d 54 0d 02  |..W+=T....X+=T..|
000003a0  d0 08 59 2b 3d 54 0d 02  da 08 5a 2b 3d 54 0d 02  |..Y+=T....Z+=T..|
000003b0  e4 04 0d 02 ee 0b 57 28  6e 25 29 3d 57 0d 02 f8  |......W(n%)=W...|
000003c0  0b 58 28 6e 25 29 3d 58  0d 03 02 0b 59 28 6e 25  |.X(n%)=X....Y(n%|
000003d0  29 3d 59 0d 03 0c 0b 5a  28 6e 25 29 3d 5a 0d 03  |)=Y....Z(n%)=Z..|
000003e0  16 04 0d 03 20 0d 4d 3d  57 2b 58 2b 59 2b 5a 0d  |.... .M=W+X+Y+Z.|
000003f0  03 2a 0a 57 58 3d 57 2d  58 0d 03 34 0a 59 5a 3d  |.*.WX=W-X..4.YZ=|
00000400  59 2d 5a 0d 03 3e 04 0d  03 48 0c e3 41 25 3d 30  |Y-Z..>...H..A%=0|
00000410  b8 31 35 0d 03 52 04 0d  03 5c 2f 77 3d 77 28 6e  |.15..R...\/w=w(n|
00000420  25 2c 41 25 29 3a 78 3d  78 28 6e 25 2c 41 25 29  |%,A%):x=x(n%,A%)|
00000430  3a 79 3d 79 28 6e 25 2c  41 25 29 3a 7a 3d 7a 28  |:y=y(n%,A%):z=z(|
00000440  6e 25 2c 41 25 29 0d 03  66 17 f2 74 72 61 6e 73  |n%,A%)..f..trans|
00000450  66 6f 72 6d 28 77 2c 78  2c 79 2c 7a 29 0d 03 70  |form(w,x,y,z)..p|
00000460  2f 77 28 6e 25 2c 41 25  29 3d 77 3a 78 28 6e 25  |/w(n%,A%)=w:x(n%|
00000470  2c 41 25 29 3d 78 3a 79  28 6e 25 2c 41 25 29 3d  |,A%)=x:y(n%,A%)=|
00000480  79 3a 7a 28 6e 25 2c 41  25 29 3d 7a 0d 03 7a 04  |y:z(n%,A%)=z..z.|
00000490  0d 03 84 1b 42 3d 32 2a  45 53 25 2f 28 45 4f 25  |....B=2*ES%/(EO%|
000004a0  2b 77 2b 78 2b 79 2b 7a  2b 4d 29 0d 03 8e 15 58  |+w+x+y+z+M)....X|
000004b0  25 28 41 25 29 3d 42 2a  28 77 2d 78 2b 57 58 29  |%(A%)=B*(w-x+WX)|
000004c0  0d 03 98 15 59 25 28 41  25 29 3d 42 2a 28 79 2d  |....Y%(A%)=B*(y-|
000004d0  7a 2b 59 5a 29 0d 03 a2  1c 43 25 28 41 25 29 3d  |z+YZ)....C%(A%)=|
000004e0  33 32 2d 28 28 77 2b 78  2b 79 2b 7a 29 3e 3e 33  |32-((w+x+y+z)>>3|
000004f0  29 0d 03 ac 04 0d 03 b6  05 ed 0d 03 c0 04 0d 03  |)...............|
00000500  ca 0b e3 41 25 3d 30 b8  37 0d 03 d4 0b 42 25 3d  |...A%=0.7....B%=|
00000510  41 25 2b 38 0d 03 de 0f  f2 63 6f 6c 28 41 25 2c  |A%+8.....col(A%,|
00000520  42 25 29 0d 03 e8 12 ec  58 25 28 41 25 29 2c 59  |B%).....X%(A%),Y|
00000530  25 28 41 25 29 0d 03 f2  12 df 58 25 28 42 25 29  |%(A%).....X%(B%)|
00000540  2c 59 25 28 42 25 29 0d  03 fc 05 ed 0d 04 06 0e  |,Y%(B%).........|
00000550  e3 41 25 3d 30 b8 38 20  88 38 0d 04 10 0b e3 42  |.A%=0.8 .8.....B|
00000560  25 3d 30 b8 33 0d 04 1a  0c 43 25 3d 41 25 2b 42  |%=0.3....C%=A%+B|
00000570  25 0d 04 24 0b 44 25 3d  43 25 2b 34 0d 04 2e 0f  |%..$.D%=C%+4....|
00000580  f2 63 6f 6c 28 43 25 2c  44 25 29 0d 04 38 12 ec  |.col(C%,D%)..8..|
00000590  58 25 28 43 25 29 2c 59  25 28 43 25 29 0d 04 42  |X%(C%),Y%(C%)..B|
000005a0  12 df 58 25 28 44 25 29  2c 59 25 28 44 25 29 0d  |..X%(D%),Y%(D%).|
000005b0  04 4c 05 ed 0d 04 56 05  ed 0d 04 60 0f e3 41 25  |.L....V....`..A%|
000005c0  3d 30 b8 31 32 20 88 34  0d 04 6a 0b e3 42 25 3d  |=0.12 .4..j..B%=|
000005d0  30 b8 33 0d 04 74 0c 43  25 3d 41 25 2b 42 25 0d  |0.3..t.C%=A%+B%.|
000005e0  04 7e 14 44 25 3d 41 25  2b 28 28 42 25 2b 31 29  |.~.D%=A%+((B%+1)|
000005f0  80 33 29 0d 04 88 0f f2  63 6f 6c 28 43 25 2c 44  |.3).....col(C%,D|
00000600  25 29 0d 04 92 12 ec 58  25 28 43 25 29 2c 59 25  |%).....X%(C%),Y%|
00000610  28 43 25 29 0d 04 9c 12  df 58 25 28 44 25 29 2c  |(C%).....X%(D%),|
00000620  59 25 28 44 25 29 0d 04  a6 05 ed 0d 04 b0 05 ed  |Y%(D%)..........|
00000630  0d 04 ba 04 0d 04 c4 05  ed 0d 04 ce 04 0d 04 d8  |................|
00000640  0a c8 99 36 2c 31 39 0d  04 e2 0e c8 99 36 2c 31  |...6,19......6,1|
00000650  31 32 2c 61 25 0d 04 ec  0e c8 99 36 2c 31 31 33  |12,a%......6,113|
00000660  2c 62 25 0d 04 f6 05 db  0d 05 00 0c c8 94 20 61  |,b%........... a|
00000670  25 2c 62 25 0d 05 0a 04  0d 05 14 09 fd 20 b9 3d  |%,b%......... .=|
00000680  a3 0d 05 1e 04 0d 05 28  10 dd f2 63 6f 6c 28 41  |.......(...col(A|
00000690  25 2c 42 25 29 0d 05 32  07 ea 43 25 0d 05 3c 19  |%,B%)..2..C%..<.|
000006a0  43 25 3d 28 43 25 28 41  25 29 2b 43 25 28 42 25  |C%=(C%(A%)+C%(B%|
000006b0  29 29 3e 3e 31 0d 05 46  0c 43 25 3d 43 25 3e 3e  |))>>1..F.C%=C%>>|
000006c0  32 0d 05 50 09 e6 30 2c  43 25 0d 05 5a 05 e1 0d  |2..P..0,C%..Z...|
000006d0  05 64 04 0d 05 6e 20 dd  f2 74 72 61 6e 73 66 6f  |.d...n ..transfo|
000006e0  72 6d 28 f8 20 57 2c f8  20 58 2c f8 20 59 2c f8  |rm(. W,. X,. Y,.|
000006f0  20 5a 29 0d 05 78 0c ea  77 2c 78 2c 79 2c 7a 0d  | Z)..x..w,x,y,z.|
00000700  05 82 04 0d 05 8c 11 77  3d 28 57 2d 58 2b 59 2d  |.......w=(W-X+Y-|
00000710  5a 29 2f 32 0d 05 96 12  78 3d 28 2d 57 2b 58 2b  |Z)/2....x=(-W+X+|
00000720  59 2d 5a 29 2f 32 0d 05  a0 12 79 3d 28 2d 58 2d  |Y-Z)/2....y=(-X-|
00000730  57 2b 59 2b 5a 29 2f 32  0d 05 aa 11 7a 3d 28 58  |W+Y+Z)/2....z=(X|
00000740  2b 57 2b 59 2b 5a 29 2f  32 0d 05 b4 04 0d 05 be  |+W+Y+Z)/2.......|
00000750  12 57 3d 69 2a 77 2b 6a  2a 78 2b 73 63 2a 79 0d  |.W=i*w+j*x+sc*y.|
00000760  05 c8 13 58 3d 73 63 2a  77 2b 63 32 2a 78 2d 73  |...X=sc*w+c2*x-s|
00000770  2a 79 0d 05 d2 12 59 3d  6a 2a 77 2b 6b 2a 78 2b  |*y....Y=j*w+k*x+|
00000780  63 32 2a 79 0d 05 dc 07  5a 3d 7a 0d 05 e6 04 0d  |c2*y....Z=z.....|
00000790  05 f0 11 77 3d 28 57 2d  58 2d 59 2b 5a 29 2f 32  |...w=(W-X-Y+Z)/2|
000007a0  0d 05 fa 12 78 3d 28 2d  57 2b 58 2d 59 2b 5a 29  |....x=(-W+X-Y+Z)|
000007b0  2f 32 0d 06 04 11 79 3d  28 58 2b 57 2b 59 2b 5a  |/2....y=(X+W+Y+Z|
000007c0  29 2f 32 0d 06 0e 12 7a  3d 28 2d 58 2d 57 2b 59  |)/2....z=(-X-W+Y|
000007d0  2b 5a 29 2f 32 0d 06 18  04 0d 06 22 18 57 3d 43  |+Z)/2......".W=C|
000007e0  32 2a 77 2d 53 32 2a 78  2b 53 43 2a 28 79 2d 7a  |2*w-S2*x+SC*(y-z|
000007f0  29 0d 06 2c 19 58 3d 2d  53 32 2a 77 2b 43 32 2a  |)..,.X=-S2*w+C2*|
00000800  78 2b 53 43 2a 28 79 2d  7a 29 0d 06 36 19 59 3d  |x+SC*(y-z)..6.Y=|
00000810  2d 53 43 2a 28 78 2b 77  29 2b 43 32 2a 79 2b 53  |-SC*(x+w)+C2*y+S|
00000820  32 2a 7a 0d 06 40 18 5a  3d 53 43 2a 28 78 2b 77  |2*z..@.Z=SC*(x+w|
00000830  29 2b 53 32 2a 79 2b 43  32 2a 7a 0d 06 4a 04 0d  |)+S2*y+C2*z..J..|
00000840  06 54 05 e1 0d 06 5e 04  0d 06 68 0f dd f2 4d 61  |.T....^...h...Ma|
00000850  6b 65 43 75 62 65 73 0d  06 72 18 ea 6e 25 2c 41  |keCubes..r..n%,A|
00000860  25 2c 52 2c 50 2c 77 2c  78 2c 79 2c 7a 2c 4d 0d  |%,R,P,w,x,y,z,M.|
00000870  06 7c 1c de 57 28 4e 25  29 2c 58 28 4e 25 29 2c  |.|..W(N%),X(N%),|
00000880  59 28 4e 25 29 2c 5a 28  4e 25 29 0d 06 86 0c e3  |Y(N%),Z(N%).....|
00000890  6e 25 3d 31 b8 4e 25 0d  06 90 14 57 28 6e 25 29  |n%=1.N%....W(n%)|
000008a0  3d 31 30 30 2d b3 28 32  30 30 29 0d 06 9a 14 58  |=100-.(200)....X|
000008b0  28 6e 25 29 3d 31 30 30  2d b3 28 32 30 30 29 0d  |(n%)=100-.(200).|
000008c0  06 a4 14 59 28 6e 25 29  3d 31 30 30 2d b3 28 32  |...Y(n%)=100-.(2|
000008d0  30 30 29 0d 06 ae 14 5a  28 6e 25 29 3d 31 30 30  |00)....Z(n%)=100|
000008e0  2d b3 28 32 30 30 29 0d  06 b8 10 52 3d 28 b3 28  |-.(200)....R=(.(|
000008f0  31 29 2a af 2a 32 29 0d  06 c2 10 50 3d 28 b3 28  |1)*.*2)....P=(.(|
00000900  31 29 2a af 2a 32 29 0d  06 cc 08 43 3d 9b 50 0d  |1)*.*2)....C=.P.|
00000910  06 d6 08 53 3d b5 50 0d  06 e0 0a 43 32 3d 43 2a  |...S=.P....C2=C*|
00000920  43 0d 06 ea 0a 53 32 3d  53 2a 53 0d 06 f4 0a 53  |C....S2=S*S....S|
00000930  43 3d 53 2a 43 0d 06 fe  08 63 3d 9b 52 0d 07 08  |C=S*C....c=.R...|
00000940  08 73 3d b5 52 0d 07 12  0a 63 32 3d 63 2a 63 0d  |.s=.R....c2=c*c.|
00000950  07 1c 0a 73 32 3d 73 2a  73 0d 07 26 0a 73 63 3d  |...s2=s*s..&.sc=|
00000960  73 2a 63 0d 07 30 0d 69  3d 63 32 2b 73 2a 73 32  |s*c..0.i=c2+s*s2|
00000970  0d 07 3a 0d 6a 3d 73 32  2a 63 2d 73 63 0d 07 44  |..:.j=s2*c-sc..D|
00000980  0d 6b 3d 73 32 2b 73 2a  63 32 0d 07 4e 0c 4d 3d  |.k=s2+s*c2..N.M=|
00000990  b3 28 31 29 2b 31 0d 07  58 0c e3 41 25 3d 30 b8  |.(1)+1..X..A%=0.|
000009a0  31 35 0d 07 62 37 77 3d  77 28 6e 25 2c 41 25 29  |15..b7w=w(n%,A%)|
000009b0  2a 4d 3a 78 3d 78 28 6e  25 2c 41 25 29 2a 4d 3a  |*M:x=x(n%,A%)*M:|
000009c0  79 3d 79 28 6e 25 2c 41  25 29 2a 4d 3a 7a 3d 7a  |y=y(n%,A%)*M:z=z|
000009d0  28 6e 25 2c 41 25 29 2a  4d 0d 07 6c 2a f2 74 72  |(n%,A%)*M..l*.tr|
000009e0  61 6e 73 66 6f 72 6d 28  77 2c 78 2c 79 2c 7a 29  |ansform(w,x,y,z)|
000009f0  3a f4 20 69 6e 69 74 69  61 6c 20 72 6f 74 61 74  |:. initial rotat|
00000a00  69 6f 6e 0d 07 76 2f 77  28 6e 25 2c 41 25 29 3d  |ion..v/w(n%,A%)=|
00000a10  77 3a 78 28 6e 25 2c 41  25 29 3d 78 3a 79 28 6e  |w:x(n%,A%)=x:y(n|
00000a20  25 2c 41 25 29 3d 79 3a  7a 28 6e 25 2c 41 25 29  |%,A%)=y:z(n%,A%)|
00000a30  3d 7a 0d 07 80 05 ed 0d  07 8a 05 ed 0d 07 94 05  |=z..............|
00000a40  e1 0d 07 9e 04 0d 07 a8  0e dd f2 70 61 6c 6c 65  |...........palle|
00000a50  74 74 65 0d 07 b2 0a ea  43 25 2c 54 25 0d 07 bc  |tte.....C%,T%...|
00000a60  0c e3 43 25 3d 30 b8 31  35 0d 07 c6 11 54 25 3d  |..C%=0.15....T%=|
00000a70  28 43 25 3c 3c 34 29 2b  43 25 0d 07 d0 10 fb 43  |(C%<<4)+C%.....C|
00000a80  25 2c 54 25 2c 54 25 2c  54 25 0d 07 da 05 ed 0d  |%,T%,T%,T%......|
00000a90  07 e4 05 e1 0d 07 ee 04  0d 07 f8 0a dd f2 72 65  |..............re|
00000aa0  61 64 0d 08 02 0a ea 54  25 2c 6e 25 0d 08 0c 29  |ad.....T%,n%...)|
00000ab0  de 20 77 28 4e 25 2c 31  35 29 2c 78 28 4e 25 2c  |. w(N%,15),x(N%,|
00000ac0  31 35 29 2c 79 28 4e 25  2c 31 35 29 2c 7a 28 4e  |15),y(N%,15),z(N|
00000ad0  25 2c 31 35 29 0d 08 16  39 de 20 58 25 28 31 35  |%,15)...9. X%(15|
00000ae0  29 2c 59 25 28 31 35 29  3a f4 20 66 6f 72 20 70  |),Y%(15):. for p|
00000af0  6f 73 74 20 70 65 72 73  70 65 63 74 69 76 65 20  |ost perspective |
00000b00  74 72 61 6e 73 66 6f 72  6d 61 74 69 6f 6e 0d 08  |transformation..|
00000b10  20 15 de 20 43 25 28 31  35 29 3a f4 20 63 6f 6c  | .. C%(15):. col|
00000b20  6f 75 72 0d 08 2a 0c e3  6e 25 3d 31 b8 4e 25 0d  |our..*..n%=1.N%.|
00000b30  08 34 05 f7 0d 08 3e 0d  e3 20 54 25 3d 30 b8 31  |.4....>.. T%=0.1|
00000b40  35 0d 08 48 29 f3 20 77  28 6e 25 2c 54 25 29 2c  |5..H). w(n%,T%),|
00000b50  78 28 6e 25 2c 54 25 29  2c 79 28 6e 25 2c 54 25  |x(n%,T%),y(n%,T%|
00000b60  29 2c 7a 28 6e 25 2c 54  25 29 0d 08 52 05 ed 0d  |),z(n%,T%)..R...|
00000b70  08 5c 05 ed 0d 08 66 05  e1 0d 08 70 04 0d 08 7a  |.\....f....p...z|
00000b80  15 dc 20 2d 35 30 2c 2d  35 30 2c 2d 35 30 2c 2d  |.. -50,-50,-50,-|
00000b90  35 30 0d 08 84 15 dc 20  2d 35 30 2c 2d 35 30 2c  |50..... -50,-50,|
00000ba0  2d 35 30 2c 2b 35 30 0d  08 8e 15 dc 20 2d 35 30  |-50,+50..... -50|
00000bb0  2c 2d 35 30 2c 2b 35 30  2c 2b 35 30 0d 08 98 15  |,-50,+50,+50....|
00000bc0  dc 20 2d 35 30 2c 2d 35  30 2c 2b 35 30 2c 2d 35  |. -50,-50,+50,-5|
00000bd0  30 0d 08 a2 04 0d 08 ac  15 dc 20 2d 35 30 2c 2b  |0......... -50,+|
00000be0  35 30 2c 2d 35 30 2c 2d  35 30 0d 08 b6 15 dc 20  |50,-50,-50..... |
00000bf0  2d 35 30 2c 2b 35 30 2c  2d 35 30 2c 2b 35 30 0d  |-50,+50,-50,+50.|
00000c00  08 c0 15 dc 20 2d 35 30  2c 2b 35 30 2c 2b 35 30  |.... -50,+50,+50|
00000c10  2c 2b 35 30 0d 08 ca 15  dc 20 2d 35 30 2c 2b 35  |,+50..... -50,+5|
00000c20  30 2c 2b 35 30 2c 2d 35  30 0d 08 d4 04 0d 08 de  |0,+50,-50.......|
00000c30  15 dc 20 2b 35 30 2c 2d  35 30 2c 2d 35 30 2c 2d  |.. +50,-50,-50,-|
00000c40  35 30 0d 08 e8 15 dc 20  2b 35 30 2c 2d 35 30 2c  |50..... +50,-50,|
00000c50  2d 35 30 2c 2b 35 30 0d  08 f2 15 dc 20 2b 35 30  |-50,+50..... +50|
00000c60  2c 2d 35 30 2c 2b 35 30  2c 2b 35 30 0d 08 fc 15  |,-50,+50,+50....|
00000c70  dc 20 2b 35 30 2c 2d 35  30 2c 2b 35 30 2c 2d 35  |. +50,-50,+50,-5|
00000c80  30 0d 09 06 04 0d 09 10  15 dc 20 2b 35 30 2c 2b  |0......... +50,+|
00000c90  35 30 2c 2d 35 30 2c 2d  35 30 0d 09 1a 15 dc 20  |50,-50,-50..... |
00000ca0  2b 35 30 2c 2b 35 30 2c  2d 35 30 2c 2b 35 30 0d  |+50,+50,-50,+50.|
00000cb0  09 24 15 dc 20 2b 35 30  2c 2b 35 30 2c 2b 35 30  |.$.. +50,+50,+50|
00000cc0  2c 2b 35 30 0d 09 2e 15  dc 20 2b 35 30 2c 2b 35  |,+50..... +50,+5|
00000cd0  30 2c 2b 35 30 2c 2d 35  30 0d 09 38 04 0d ff     |0,+50,-50..8...|
00000cdf

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