StarInfo/circles/Jeffs/Bubbles

Home » Archimedes archive » Acorn User » AU 1997-02 B.adf » Regulars » StarInfo/circles/Jeffs/Bubbles

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 » Acorn User » AU 1997-02 B.adf » Regulars
Filename:	StarInfo/circles/Jeffs/Bubbles
Read OK:	✔
File size:	0862 bytes
Load address:	0000
Exec address:	0000

File contents

   10REM  Acorn User circle challenge
   20REM  Bubbles - by R W Jeffs
   30:
   40REM  Routine tries to create a sort of whirlpool effect to keep bubbles together.
   50REM  Bubbles combine on collision and fall off screen when too big.
   60:
   70MODE 27:OFF
   80B%=15:REM No. of bubbles
   90DIM l%(B%),x(B%),y(B%),r(B%),xv(B%),yv(B%)
  100l%()=0:REM All dead
  110GCOL3,6
  120REPEAT:WAIT
  130 FOR L%=0 TO B%
  140  IF l%(L%)=0 PROCnew
  150  PROCcircle(L%)
  160  A%=FNangle(x(L%),y(L%))-175-RND(10)
  170  IF RND(4)=1 THEN xv(L%)+=SIN(RAD(A%))/8:yv(L%)+=COS(RAD(A%))/8
  180  IF r(L%)>40 yv(L%)-=.06:IF y(L%)<-r(L%) l%(L%)=0
  190  IF xv(L%)^2+yv(L%)^2>16 THEN PROClimit
  200  x(L%)+=xv(L%):y(L%)+=yv(L%)
  210  IF l%(L%)=1 PROCcircle(L%)
  220  IF L%<B% AND l%(L%)=1 PROCcheck(L%)
  230 NEXT
  240UNTIL FALSE
  250END
  260:
  270REM  Find bearing from centre of screen to X,Y
  280:
  290DEF FNangle(X,Y)
  300LOCAL x,y,angle
  310X-=640:Y-=480
  320x=ABS(X):y=ABS(Y)
  330IF x>y THEN
  340 IF x=0 angle=0 ELSE angle=90-DEG(ATN(y/x))
  350ELSE
  360 IF y=0 angle=90 ELSE angle=DEG(ATN(x/y))
  370ENDIF
  380IF Y<0 angle=180-angle
  390IF X<0 angle=360-angle
  400=INT(angle)
  410:
  420REM  Find direction bubble is moving in and limit velocity.
  430:
  440DEF PROClimit
  450LOCAL A%
  460A%=FNangle(xv(L%)+640,yv(L%)+480)
  470xv(L%)=SIN(RAD(A%))*4:yv(L%)=COS(RAD(A%))*4
  480ENDPROC
  490:
  500REM  Bubblegenesis - Place new bubbles in ring about centre of screen.
  510:
  520DEF PROCnew
  530LOCAL A%
  540l%(L%)=1
  550A%=RND(360)
  560x(L%)=SIN(RAD(A%))*400+640:y(L%)=COS(RAD(A%))*400+480
  570xv(L%)=SIN(RAD(A%+90))*2:yv(L%)=COS(RAD(A%+90))*2
  580r(L%)=20
  590PROCcircle(L%)
  600ENDPROC
  610:
  620DEF PROCcircle(L%)
  630CIRCLE x(L%),y(L%),r(L%)
  640ENDPROC
  650:
  660REM  Check for collision between current bubble and all those following.
  670REM  Kill one and combine position, sizes and velocities
  680REM  Position of new bubble is relative to the sizes of its parents.
  690:
  700DEF PROCcheck(L%)
  710LOCAL M%,dx,dy,dist
  720FOR M%=L%+1 TO B%
  730 IF l%(M%)=1 THEN
  740  dx=x(L%)-x(M%):dy=y(L%)-y(M%):dist=dx^2+dy^2
  750  IF dist<(r(L%)+r(M%))^2 THEN
  760   PROCcircle(M%):PROCcircle(L%)
  770   l%(M%)=0
  780   x(L%)=(x(M%)*r(M%)/r(L%)+x(L%)*r(L%)/r(M%))/(r(M%)/r(L%)+r(L%)/r(M%))
  790   y(L%)=(y(M%)*r(M%)/r(L%)+y(L%)*r(L%)/r(M%))/(r(M%)/r(L%)+r(L%)/r(M%))
  800   r(L%)=INT(SQR(r(M%)^2+r(L%)^2)) DIV 2*2
  810   xv(L%)=(xv(M%)+xv(L%))/2:yv(L%)=(yv(M%)+yv(L%))/2
  820   PROCcircle(L%)
  830  ENDIF
  840 ENDIF
  850NEXT
  860ENDPROC


"�  Acorn User circle challenge
�  Bubbles - by R W Jeffs
:
(S�  Routine tries to create a sort of whirlpool effect to keep bubbles together.
2E�  Bubbles combine on collision and fall off screen when too big.
<:
F
� 27:�
PB%=15:� No. of bubbles
Z,� l%(B%),x(B%),y(B%),r(B%),xv(B%),yv(B%)
dl%()=0:� All dead
n�3,6
x�:Ȗ
� � L%=0 � B%
�  � l%(L%)=0 �new
�  �circle(L%)
�&  A%=�angle(x(L%),y(L%))-175-�(10)
�6  � �(4)=1 � xv(L%)+=�(�(A%))/8:yv(L%)+=�(�(A%))/8
�4  � r(L%)>40 yv(L%)-=.06:� y(L%)<-r(L%) l%(L%)=0
�%  � xv(L%)^2+yv(L%)^2>16 � �limit
�!  x(L%)+=xv(L%):y(L%)+=yv(L%)
�  � l%(L%)=1 �circle(L%)
�#  � L%<B% � l%(L%)=1 �check(L%)
� �
�� �
��
:
0�  Find bearing from centre of screen to X,Y
:
"� �angle(X,Y)
,� x,y,angle
6X-=640:Y-=480
@x=�(X):y=�(Y)
J� x>y �
T' � x=0 angle=0 � angle=90-�(�(y/x))
^�
h% � y=0 angle=90 � angle=�(�(x/y))
r�
|� Y<0 angle=180-angle
�� X<0 angle=360-angle
�
=�(angle)
�:
�=�  Find direction bubble is moving in and limit velocity.
�:
�� �limit
�� A%
�$A%=�angle(xv(L%)+640,yv(L%)+480)
�'xv(L%)=�(�(A%))*4:yv(L%)=�(�(A%))*4
��
�:
�H�  Bubblegenesis - Place new bubbles in ring about centre of screen.
�:

� �new
� A%
l%(L%)=1
&
A%=�(360)
01x(L%)=�(�(A%))*400+640:y(L%)=�(�(A%))*400+480
:-xv(L%)=�(�(A%+90))*2:yv(L%)=�(�(A%+90))*2
Dr(L%)=20
N�circle(L%)
X�
b:
l� �circle(L%)
vȏ x(L%),y(L%),r(L%)
��
�:
�J�  Check for collision between current bubble and all those following.
�:�  Kill one and combine position, sizes and velocities
�F�  Position of new bubble is relative to the sizes of its parents.
�:
�� �check(L%)
�� M%,dx,dy,dist
�� M%=L%+1 � B%
� � l%(M%)=1 �
�2  dx=x(L%)-x(M%):dy=y(L%)-y(M%):dist=dx^2+dy^2
�  � dist<(r(L%)+r(M%))^2 �
�   �circle(M%):�circle(L%)
   l%(M%)=0
L   x(L%)=(x(M%)*r(M%)/r(L%)+x(L%)*r(L%)/r(M%))/(r(M%)/r(L%)+r(L%)/r(M%))
L   y(L%)=(y(M%)*r(M%)/r(L%)+y(L%)*r(L%)/r(M%))/(r(M%)/r(L%)+r(L%)/r(M%))
 (   r(L%)=�(�(r(M%)^2+r(L%)^2)) � 2*2
*8   xv(L%)=(xv(M%)+xv(L%))/2:yv(L%)=(yv(M%)+yv(L%))/2
4   �circle(L%)
>  �
H �
R�
\�
�

00000000  0d 00 0a 22 f4 20 20 41  63 6f 72 6e 20 55 73 65  |...".  Acorn Use|
00000010  72 20 63 69 72 63 6c 65  20 63 68 61 6c 6c 65 6e  |r circle challen|
00000020  67 65 0d 00 14 1d f4 20  20 42 75 62 62 6c 65 73  |ge.....  Bubbles|
00000030  20 2d 20 62 79 20 52 20  57 20 4a 65 66 66 73 0d  | - by R W Jeffs.|
00000040  00 1e 05 3a 0d 00 28 53  f4 20 20 52 6f 75 74 69  |...:..(S.  Routi|
00000050  6e 65 20 74 72 69 65 73  20 74 6f 20 63 72 65 61  |ne tries to crea|
00000060  74 65 20 61 20 73 6f 72  74 20 6f 66 20 77 68 69  |te a sort of whi|
00000070  72 6c 70 6f 6f 6c 20 65  66 66 65 63 74 20 74 6f  |rlpool effect to|
00000080  20 6b 65 65 70 20 62 75  62 62 6c 65 73 20 74 6f  | keep bubbles to|
00000090  67 65 74 68 65 72 2e 0d  00 32 45 f4 20 20 42 75  |gether...2E.  Bu|
000000a0  62 62 6c 65 73 20 63 6f  6d 62 69 6e 65 20 6f 6e  |bbles combine on|
000000b0  20 63 6f 6c 6c 69 73 69  6f 6e 20 61 6e 64 20 66  | collision and f|
000000c0  61 6c 6c 20 6f 66 66 20  73 63 72 65 65 6e 20 77  |all off screen w|
000000d0  68 65 6e 20 74 6f 6f 20  62 69 67 2e 0d 00 3c 05  |hen too big...<.|
000000e0  3a 0d 00 46 0a eb 20 32  37 3a 87 0d 00 50 1a 42  |:..F.. 27:...P.B|
000000f0  25 3d 31 35 3a f4 20 4e  6f 2e 20 6f 66 20 62 75  |%=15:. No. of bu|
00000100  62 62 6c 65 73 0d 00 5a  2c de 20 6c 25 28 42 25  |bbles..Z,. l%(B%|
00000110  29 2c 78 28 42 25 29 2c  79 28 42 25 29 2c 72 28  |),x(B%),y(B%),r(|
00000120  42 25 29 2c 78 76 28 42  25 29 2c 79 76 28 42 25  |B%),xv(B%),yv(B%|
00000130  29 0d 00 64 15 6c 25 28  29 3d 30 3a f4 20 41 6c  |)..d.l%()=0:. Al|
00000140  6c 20 64 65 61 64 0d 00  6e 08 e6 33 2c 36 0d 00  |l dead..n..3,6..|
00000150  78 08 f5 3a c8 96 0d 00  82 10 20 e3 20 4c 25 3d  |x..:...... . L%=|
00000160  30 20 b8 20 42 25 0d 00  8c 15 20 20 e7 20 6c 25  |0 . B%....  . l%|
00000170  28 4c 25 29 3d 30 20 f2  6e 65 77 0d 00 96 11 20  |(L%)=0 .new.... |
00000180  20 f2 63 69 72 63 6c 65  28 4c 25 29 0d 00 a0 26  | .circle(L%)...&|
00000190  20 20 41 25 3d a4 61 6e  67 6c 65 28 78 28 4c 25  |  A%=.angle(x(L%|
000001a0  29 2c 79 28 4c 25 29 29  2d 31 37 35 2d b3 28 31  |),y(L%))-175-.(1|
000001b0  30 29 0d 00 aa 36 20 20  e7 20 b3 28 34 29 3d 31  |0)...6  . .(4)=1|
000001c0  20 8c 20 78 76 28 4c 25  29 2b 3d b5 28 b2 28 41  | . xv(L%)+=.(.(A|
000001d0  25 29 29 2f 38 3a 79 76  28 4c 25 29 2b 3d 9b 28  |%))/8:yv(L%)+=.(|
000001e0  b2 28 41 25 29 29 2f 38  0d 00 b4 34 20 20 e7 20  |.(A%))/8...4  . |
000001f0  72 28 4c 25 29 3e 34 30  20 79 76 28 4c 25 29 2d  |r(L%)>40 yv(L%)-|
00000200  3d 2e 30 36 3a e7 20 79  28 4c 25 29 3c 2d 72 28  |=.06:. y(L%)<-r(|
00000210  4c 25 29 20 6c 25 28 4c  25 29 3d 30 0d 00 be 25  |L%) l%(L%)=0...%|
00000220  20 20 e7 20 78 76 28 4c  25 29 5e 32 2b 79 76 28  |  . xv(L%)^2+yv(|
00000230  4c 25 29 5e 32 3e 31 36  20 8c 20 f2 6c 69 6d 69  |L%)^2>16 . .limi|
00000240  74 0d 00 c8 21 20 20 78  28 4c 25 29 2b 3d 78 76  |t...!  x(L%)+=xv|
00000250  28 4c 25 29 3a 79 28 4c  25 29 2b 3d 79 76 28 4c  |(L%):y(L%)+=yv(L|
00000260  25 29 0d 00 d2 1c 20 20  e7 20 6c 25 28 4c 25 29  |%)....  . l%(L%)|
00000270  3d 31 20 f2 63 69 72 63  6c 65 28 4c 25 29 0d 00  |=1 .circle(L%)..|
00000280  dc 23 20 20 e7 20 4c 25  3c 42 25 20 80 20 6c 25  |.#  . L%<B% . l%|
00000290  28 4c 25 29 3d 31 20 f2  63 68 65 63 6b 28 4c 25  |(L%)=1 .check(L%|
000002a0  29 0d 00 e6 06 20 ed 0d  00 f0 07 fd 20 a3 0d 00  |).... ...... ...|
000002b0  fa 05 e0 0d 01 04 05 3a  0d 01 0e 30 f4 20 20 46  |.......:...0.  F|
000002c0  69 6e 64 20 62 65 61 72  69 6e 67 20 66 72 6f 6d  |ind bearing from|
000002d0  20 63 65 6e 74 72 65 20  6f 66 20 73 63 72 65 65  | centre of scree|
000002e0  6e 20 74 6f 20 58 2c 59  0d 01 18 05 3a 0d 01 22  |n to X,Y....:.."|
000002f0  11 dd 20 a4 61 6e 67 6c  65 28 58 2c 59 29 0d 01  |.. .angle(X,Y)..|
00000300  2c 0f ea 20 78 2c 79 2c  61 6e 67 6c 65 0d 01 36  |,.. x,y,angle..6|
00000310  11 58 2d 3d 36 34 30 3a  59 2d 3d 34 38 30 0d 01  |.X-=640:Y-=480..|
00000320  40 11 78 3d 94 28 58 29  3a 79 3d 94 28 59 29 0d  |@.x=.(X):y=.(Y).|
00000330  01 4a 0b e7 20 78 3e 79  20 8c 0d 01 54 27 20 e7  |.J.. x>y ...T' .|
00000340  20 78 3d 30 20 61 6e 67  6c 65 3d 30 20 8b 20 61  | x=0 angle=0 . a|
00000350  6e 67 6c 65 3d 39 30 2d  9d 28 99 28 79 2f 78 29  |ngle=90-.(.(y/x)|
00000360  29 0d 01 5e 05 cc 0d 01  68 25 20 e7 20 79 3d 30  |)..^....h% . y=0|
00000370  20 61 6e 67 6c 65 3d 39  30 20 8b 20 61 6e 67 6c  | angle=90 . angl|
00000380  65 3d 9d 28 99 28 78 2f  79 29 29 0d 01 72 05 cd  |e=.(.(x/y))..r..|
00000390  0d 01 7c 19 e7 20 59 3c  30 20 61 6e 67 6c 65 3d  |..|.. Y<0 angle=|
000003a0  31 38 30 2d 61 6e 67 6c  65 0d 01 86 19 e7 20 58  |180-angle..... X|
000003b0  3c 30 20 61 6e 67 6c 65  3d 33 36 30 2d 61 6e 67  |<0 angle=360-ang|
000003c0  6c 65 0d 01 90 0d 3d a8  28 61 6e 67 6c 65 29 0d  |le....=.(angle).|
000003d0  01 9a 05 3a 0d 01 a4 3d  f4 20 20 46 69 6e 64 20  |...:...=.  Find |
000003e0  64 69 72 65 63 74 69 6f  6e 20 62 75 62 62 6c 65  |direction bubble|
000003f0  20 69 73 20 6d 6f 76 69  6e 67 20 69 6e 20 61 6e  | is moving in an|
00000400  64 20 6c 69 6d 69 74 20  76 65 6c 6f 63 69 74 79  |d limit velocity|
00000410  2e 0d 01 ae 05 3a 0d 01  b8 0c dd 20 f2 6c 69 6d  |.....:..... .lim|
00000420  69 74 0d 01 c2 08 ea 20  41 25 0d 01 cc 24 41 25  |it..... A%...$A%|
00000430  3d a4 61 6e 67 6c 65 28  78 76 28 4c 25 29 2b 36  |=.angle(xv(L%)+6|
00000440  34 30 2c 79 76 28 4c 25  29 2b 34 38 30 29 0d 01  |40,yv(L%)+480)..|
00000450  d6 27 78 76 28 4c 25 29  3d b5 28 b2 28 41 25 29  |.'xv(L%)=.(.(A%)|
00000460  29 2a 34 3a 79 76 28 4c  25 29 3d 9b 28 b2 28 41  |)*4:yv(L%)=.(.(A|
00000470  25 29 29 2a 34 0d 01 e0  05 e1 0d 01 ea 05 3a 0d  |%))*4.........:.|
00000480  01 f4 48 f4 20 20 42 75  62 62 6c 65 67 65 6e 65  |..H.  Bubblegene|
00000490  73 69 73 20 2d 20 50 6c  61 63 65 20 6e 65 77 20  |sis - Place new |
000004a0  62 75 62 62 6c 65 73 20  69 6e 20 72 69 6e 67 20  |bubbles in ring |
000004b0  61 62 6f 75 74 20 63 65  6e 74 72 65 20 6f 66 20  |about centre of |
000004c0  73 63 72 65 65 6e 2e 0d  01 fe 05 3a 0d 02 08 0a  |screen.....:....|
000004d0  dd 20 f2 6e 65 77 0d 02  12 08 ea 20 41 25 0d 02  |. .new..... A%..|
000004e0  1c 0c 6c 25 28 4c 25 29  3d 31 0d 02 26 0d 41 25  |..l%(L%)=1..&.A%|
000004f0  3d b3 28 33 36 30 29 0d  02 30 31 78 28 4c 25 29  |=.(360)..01x(L%)|
00000500  3d b5 28 b2 28 41 25 29  29 2a 34 30 30 2b 36 34  |=.(.(A%))*400+64|
00000510  30 3a 79 28 4c 25 29 3d  9b 28 b2 28 41 25 29 29  |0:y(L%)=.(.(A%))|
00000520  2a 34 30 30 2b 34 38 30  0d 02 3a 2d 78 76 28 4c  |*400+480..:-xv(L|
00000530  25 29 3d b5 28 b2 28 41  25 2b 39 30 29 29 2a 32  |%)=.(.(A%+90))*2|
00000540  3a 79 76 28 4c 25 29 3d  9b 28 b2 28 41 25 2b 39  |:yv(L%)=.(.(A%+9|
00000550  30 29 29 2a 32 0d 02 44  0c 72 28 4c 25 29 3d 32  |0))*2..D.r(L%)=2|
00000560  30 0d 02 4e 0f f2 63 69  72 63 6c 65 28 4c 25 29  |0..N..circle(L%)|
00000570  0d 02 58 05 e1 0d 02 62  05 3a 0d 02 6c 11 dd 20  |..X....b.:..l.. |
00000580  f2 63 69 72 63 6c 65 28  4c 25 29 0d 02 76 18 c8  |.circle(L%)..v..|
00000590  8f 20 78 28 4c 25 29 2c  79 28 4c 25 29 2c 72 28  |. x(L%),y(L%),r(|
000005a0  4c 25 29 0d 02 80 05 e1  0d 02 8a 05 3a 0d 02 94  |L%).........:...|
000005b0  4a f4 20 20 43 68 65 63  6b 20 66 6f 72 20 63 6f  |J.  Check for co|
000005c0  6c 6c 69 73 69 6f 6e 20  62 65 74 77 65 65 6e 20  |llision between |
000005d0  63 75 72 72 65 6e 74 20  62 75 62 62 6c 65 20 61  |current bubble a|
000005e0  6e 64 20 61 6c 6c 20 74  68 6f 73 65 20 66 6f 6c  |nd all those fol|
000005f0  6c 6f 77 69 6e 67 2e 0d  02 9e 3a f4 20 20 4b 69  |lowing....:.  Ki|
00000600  6c 6c 20 6f 6e 65 20 61  6e 64 20 63 6f 6d 62 69  |ll one and combi|
00000610  6e 65 20 70 6f 73 69 74  69 6f 6e 2c 20 73 69 7a  |ne position, siz|
00000620  65 73 20 61 6e 64 20 76  65 6c 6f 63 69 74 69 65  |es and velocitie|
00000630  73 0d 02 a8 46 f4 20 20  50 6f 73 69 74 69 6f 6e  |s...F.  Position|
00000640  20 6f 66 20 6e 65 77 20  62 75 62 62 6c 65 20 69  | of new bubble i|
00000650  73 20 72 65 6c 61 74 69  76 65 20 74 6f 20 74 68  |s relative to th|
00000660  65 20 73 69 7a 65 73 20  6f 66 20 69 74 73 20 70  |e sizes of its p|
00000670  61 72 65 6e 74 73 2e 0d  02 b2 05 3a 0d 02 bc 10  |arents.....:....|
00000680  dd 20 f2 63 68 65 63 6b  28 4c 25 29 0d 02 c6 13  |. .check(L%)....|
00000690  ea 20 4d 25 2c 64 78 2c  64 79 2c 64 69 73 74 0d  |. M%,dx,dy,dist.|
000006a0  02 d0 12 e3 20 4d 25 3d  4c 25 2b 31 20 b8 20 42  |.... M%=L%+1 . B|
000006b0  25 0d 02 da 11 20 e7 20  6c 25 28 4d 25 29 3d 31  |%.... . l%(M%)=1|
000006c0  20 8c 0d 02 e4 32 20 20  64 78 3d 78 28 4c 25 29  | ....2  dx=x(L%)|
000006d0  2d 78 28 4d 25 29 3a 64  79 3d 79 28 4c 25 29 2d  |-x(M%):dy=y(L%)-|
000006e0  79 28 4d 25 29 3a 64 69  73 74 3d 64 78 5e 32 2b  |y(M%):dist=dx^2+|
000006f0  64 79 5e 32 0d 02 ee 1e  20 20 e7 20 64 69 73 74  |dy^2....  . dist|
00000700  3c 28 72 28 4c 25 29 2b  72 28 4d 25 29 29 5e 32  |<(r(L%)+r(M%))^2|
00000710  20 8c 0d 02 f8 1e 20 20  20 f2 63 69 72 63 6c 65  | .....   .circle|
00000720  28 4d 25 29 3a f2 63 69  72 63 6c 65 28 4c 25 29  |(M%):.circle(L%)|
00000730  0d 03 02 0f 20 20 20 6c  25 28 4d 25 29 3d 30 0d  |....   l%(M%)=0.|
00000740  03 0c 4c 20 20 20 78 28  4c 25 29 3d 28 78 28 4d  |..L   x(L%)=(x(M|
00000750  25 29 2a 72 28 4d 25 29  2f 72 28 4c 25 29 2b 78  |%)*r(M%)/r(L%)+x|
00000760  28 4c 25 29 2a 72 28 4c  25 29 2f 72 28 4d 25 29  |(L%)*r(L%)/r(M%)|
00000770  29 2f 28 72 28 4d 25 29  2f 72 28 4c 25 29 2b 72  |)/(r(M%)/r(L%)+r|
00000780  28 4c 25 29 2f 72 28 4d  25 29 29 0d 03 16 4c 20  |(L%)/r(M%))...L |
00000790  20 20 79 28 4c 25 29 3d  28 79 28 4d 25 29 2a 72  |  y(L%)=(y(M%)*r|
000007a0  28 4d 25 29 2f 72 28 4c  25 29 2b 79 28 4c 25 29  |(M%)/r(L%)+y(L%)|
000007b0  2a 72 28 4c 25 29 2f 72  28 4d 25 29 29 2f 28 72  |*r(L%)/r(M%))/(r|
000007c0  28 4d 25 29 2f 72 28 4c  25 29 2b 72 28 4c 25 29  |(M%)/r(L%)+r(L%)|
000007d0  2f 72 28 4d 25 29 29 0d  03 20 28 20 20 20 72 28  |/r(M%)).. (   r(|
000007e0  4c 25 29 3d a8 28 b6 28  72 28 4d 25 29 5e 32 2b  |L%)=.(.(r(M%)^2+|
000007f0  72 28 4c 25 29 5e 32 29  29 20 81 20 32 2a 32 0d  |r(L%)^2)) . 2*2.|
00000800  03 2a 38 20 20 20 78 76  28 4c 25 29 3d 28 78 76  |.*8   xv(L%)=(xv|
00000810  28 4d 25 29 2b 78 76 28  4c 25 29 29 2f 32 3a 79  |(M%)+xv(L%))/2:y|
00000820  76 28 4c 25 29 3d 28 79  76 28 4d 25 29 2b 79 76  |v(L%)=(yv(M%)+yv|
00000830  28 4c 25 29 29 2f 32 0d  03 34 12 20 20 20 f2 63  |(L%))/2..4.   .c|
00000840  69 72 63 6c 65 28 4c 25  29 0d 03 3e 07 20 20 cd  |ircle(L%)..>.  .|
00000850  0d 03 48 06 20 cd 0d 03  52 05 ed 0d 03 5c 05 e1  |..H. ...R....\..|
00000860  0d ff                                             |..|
00000862

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