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Uniform

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-1996-09.adf » !AcornAns_AcornAns
Filename: Uniform
Read OK:
File size: 0B44 bytes
Load address: 0000
Exec address: 0000
File contents
   10REM Demo of pseudo random number generation for a random variable
   20REM with uniform distribution on {0,1,2,...,n%-1}.
   30REM Arbitrary n%, set to 640 below.
   40:
   50PROCreadmonitortype
   60MODE mo%
   70PROCass
   80:
   90!seed%=-TIME
  100A%=640
  110CALL calc_m%
  120DIM sum%(A%-1)
  130scale=2
  140REPEAT
  150 r% = USR rnd_uniform%
  160 sum%(r%) += 1
  170 y%=sum%(r%)*scale
  180 IF y%<1024 THEN
  190  PLOT 69, r%*2, y%
  200 ELSE
  210  scale=scale/2
  220  CLS
  230  FOR i%=0 TO A%-1
  240   IF sum%(i%) LINE i%*2, 0, i%*2, sum%(i%)*scale
  250  NEXT
  260 ENDIF
  270UNTIL FALSE
  280:
  290END
  300:
  310:
  320DEF PROCass
  330DIM code% 1024
  340FOR pass%=0 TO 2 STEP 2
  350P%=code%
  360[OPT pass%
  370:
  380.addr_n%  EQUD 0
  390.addr_m%  EQUD 0
  400.seed%    EQUD -1:EQUD -1
  410:
  420.rnd_uniform%                 ;Purpose - generate a random number
  430:                             ;          in the range 0,...,n%-1
  440:
  450:                             ;Define m% = 1<<k%, where k% is the
  460:                             ;minimal integer such that m%>=n%.
  470:
  480:                             ;Must have already stored n% & m%-1
  490:                             ;in addr_n% & addr_m%, prior to
  500:                             ;calling rnd_uniform%.
  510:                             ;NB calc_m% will compute m% for you
  520:                             ;   if needed.
  530ADR       0, addr_n%
  540LDMIA     0, {1,2,3,4}        ;r1=n%, r2=m%-1, r3,r4=33-bit seed
  550:                             ;    (b0-b31 in r3, b32 in lsb r4)
  560.rnd_uniform_gen%
  570MOVS      4, 4, LSR #1        ;generate random 32-bit number
  580MOVS      0, 3, RRX
  590ADC       4, 4, 4
  600EOR       0, 0, 3, LSL #12
  610EOR       3, 0, 0, LSR #20
  620AND       0, 3, 2             ;mask 32-bit number by m%-1
  630CMP       0, 1
  640BHS       rnd_uniform_gen%    ;try again if not quite in range
  650:
  660:                             ;r0 = random number, range 0,...n%-1
  670ADR       1, seed%            ;note above loop takes average of
  680STMIA     1, {3,4}            ;8 to 19 cycles to execute depending
  690MOVS      PC, 14              ;on n%/m% (1 >= n%/m% > 0.5)
  700:
  710:
  720.calc_m%            ;Expects n% in r0, calcs m% & stores n%,m%-1
  730CMP       0, #0
  740MOVEQ     0, #1     ;a bodge to deal with degenerate case n%=0
  750SUBS      3, 0, #1
  760MOV       1, #0
  770BEQ       calc_m_done%        ;n%=1
  780MOV       2, #1
  790MOVS      3, 3, LSR #1
  800ADD       1, 2, 1, LSL #1
  810BEQ       calc_m_done%        ;n%=2
  820]
  830FOR i%=2 TO 30
  840[OPT pass%
  850MOVS      3, 3, LSR #1
  860ADD       1, 2, 1, LSL #1
  870BEQ       calc_m_done%        ;2^(i%-1) < n% <= 2^i%
  880]
  890NEXT
  900[OPT pass%
  910MOVS      3, 3, LSR #1
  920ADD       1, 2, 1, LSL #1     ;2^30 < n%
  930ADDNE     1, 2, 1, LSL #1     ;2^31 < n% < 2^32
  940.calc_m_done%
  950ADR       2, addr_n%
  960STMIA     2, {0,1}
  970MOVS      PC, 14
  980:
  990]
 1000NEXT
 1010ENDPROC
 1020:
 1030DEF PROCreadmonitortype
 1040SYS "OS_Byte",161,133 TO ,,type%
 1050type%=(type% AND 12) DIV 4
 1060IF type%=1 mo%=18 ELSE mo%=0
 1070ENDPROC

C� Demo of pseudo random number generation for a random variable
4� with uniform distribution on {0,1,2,...,n%-1}.
%� Arbitrary n%, set to 640 below.
(:
2�readmonitortype
<	� mo%
F�ass
P:
Z
!seed%=-�
d
A%=640
n
� calc_m%
x� sum%(A%-1)
�scale=2
��
� r% = � rnd_uniform%
� sum%(r%) += 1
� y%=sum%(r%)*scale
� � y%<1024 �
�  � 69, r%*2, y%
� �
�  scale=scale/2
�  �
�  � i%=0 � A%-1
�1   � sum%(i%) � i%*2, 0, i%*2, sum%(i%)*scale
�  �
 �
� �
:
"�
,:
6:
@
� �ass
J� code% 1024
T� pass%=0 � 2 � 2
^P%=code%
h[OPT pass%
r:
|.addr_n%  EQUD 0
�.addr_m%  EQUD 0
�.seed%    EQUD -1:EQUD -1
�:
�E.rnd_uniform%                 ;Purpose - generate a random number
�D:                             ;          in the range 0,...,n%-1
�:
�E:                             ;Define m% = 1<<k%, where k% is the
�D:                             ;minimal integer such that m%>=n%.
�:
�E:                             ;Must have already stored n% & m%-1
�A:                             ;in addr_n% & addr_m%, prior to
�8:                             ;calling rnd_uniform%.
�E:                             ;NB calc_m% will compute m% for you
0:                             ;   if needed.
ADR       0, addr_n%
DLDMIA     0, {1,2,3,4}        ;r1=n%, r2=m%-1, r3,r4=33-bit seed
&D:                             ;    (b0-b31 in r3, b32 in lsb r4)
0.rnd_uniform_gen%
:@MOVS      4, 4, LSR #1        ;generate random 32-bit number
DMOVS      0, 3, RRX
NADC       4, 4, 4
X�       0, 0, 3, LSL #12
b�       3, 0, 0, LSR #20
l;�       0, 3, 2             ;mask 32-bit number by m%-1
vCMP       0, 1
�BBHS       rnd_uniform_gen%    ;try again if not quite in range
�:
�F:                             ;r0 = random number, range 0,...n%-1
�CADR       1, seed%            ;note above loop takes average of
�FSTMIA     1, {3,4}            ;8 to 19 cycles to execute depending
�>MOVS      PC, 14              ;on n%/m% (1 >= n%/m% > 0.5)
�:
�:
�D.calc_m%            ;Expects n% in r0, calcs m% & stores n%,m%-1
�CMP       0, #0
�?�Q     0, #1     ;a bodge to deal with degenerate case n%=0
�SUBS      3, 0, #1
�MOV       1, #0
'BEQ       calc_m_done%        ;n%=1
MOV       2, #1
MOVS      3, 3, LSR #1
 ADD       1, 2, 1, LSL #1
*'BEQ       calc_m_done%        ;n%=2
4]
>� i%=2 � 30
H[OPT pass%
RMOVS      3, 3, LSR #1
\ADD       1, 2, 1, LSL #1
f8BEQ       calc_m_done%        ;2^(i%-1) < n% <= 2^i%
p]
z�
�[OPT pass%
�MOVS      3, 3, LSR #1
�,ADD       1, 2, 1, LSL #1     ;2^30 < n%
�3ADDNE     1, 2, 1, LSL #1     ;2^31 < n% < 2^32
�.calc_m_done%
�ADR       2, addr_n%
�STMIA     2, {0,1}
�MOVS      PC, 14
�:
�]
��
��
�:
� �readmonitortype
"ș "OS_Byte",161,133 � ,,type%
type%=(type% � 12) � 4
$� type%=1 mo%=18 � mo%=0
.�
�
00000000  0d 00 0a 43 f4 20 44 65  6d 6f 20 6f 66 20 70 73  |...C. Demo of ps|
00000010  65 75 64 6f 20 72 61 6e  64 6f 6d 20 6e 75 6d 62  |eudo random numb|
00000020  65 72 20 67 65 6e 65 72  61 74 69 6f 6e 20 66 6f  |er generation fo|
00000030  72 20 61 20 72 61 6e 64  6f 6d 20 76 61 72 69 61  |r a random varia|
00000040  62 6c 65 0d 00 14 34 f4  20 77 69 74 68 20 75 6e  |ble...4. with un|
00000050  69 66 6f 72 6d 20 64 69  73 74 72 69 62 75 74 69  |iform distributi|
00000060  6f 6e 20 6f 6e 20 7b 30  2c 31 2c 32 2c 2e 2e 2e  |on on {0,1,2,...|
00000070  2c 6e 25 2d 31 7d 2e 0d  00 1e 25 f4 20 41 72 62  |,n%-1}....%. Arb|
00000080  69 74 72 61 72 79 20 6e  25 2c 20 73 65 74 20 74  |itrary n%, set t|
00000090  6f 20 36 34 30 20 62 65  6c 6f 77 2e 0d 00 28 05  |o 640 below...(.|
000000a0  3a 0d 00 32 14 f2 72 65  61 64 6d 6f 6e 69 74 6f  |:..2..readmonito|
000000b0  72 74 79 70 65 0d 00 3c  09 eb 20 6d 6f 25 0d 00  |rtype..<.. mo%..|
000000c0  46 08 f2 61 73 73 0d 00  50 05 3a 0d 00 5a 0d 21  |F..ass..P.:..Z.!|
000000d0  73 65 65 64 25 3d 2d 91  0d 00 64 0a 41 25 3d 36  |seed%=-...d.A%=6|
000000e0  34 30 0d 00 6e 0d d6 20  63 61 6c 63 5f 6d 25 0d  |40..n.. calc_m%.|
000000f0  00 78 10 de 20 73 75 6d  25 28 41 25 2d 31 29 0d  |.x.. sum%(A%-1).|
00000100  00 82 0b 73 63 61 6c 65  3d 32 0d 00 8c 05 f5 0d  |...scale=2......|
00000110  00 96 18 20 72 25 20 3d  20 ba 20 72 6e 64 5f 75  |... r% = . rnd_u|
00000120  6e 69 66 6f 72 6d 25 0d  00 a0 12 20 73 75 6d 25  |niform%.... sum%|
00000130  28 72 25 29 20 2b 3d 20  31 0d 00 aa 16 20 79 25  |(r%) += 1.... y%|
00000140  3d 73 75 6d 25 28 72 25  29 2a 73 63 61 6c 65 0d  |=sum%(r%)*scale.|
00000150  00 b4 10 20 e7 20 79 25  3c 31 30 32 34 20 8c 0d  |... . y%<1024 ..|
00000160  00 be 14 20 20 f0 20 36  39 2c 20 72 25 2a 32 2c  |...  . 69, r%*2,|
00000170  20 79 25 0d 00 c8 06 20  cc 0d 00 d2 13 20 20 73  | y%.... .....  s|
00000180  63 61 6c 65 3d 73 63 61  6c 65 2f 32 0d 00 dc 07  |cale=scale/2....|
00000190  20 20 db 0d 00 e6 13 20  20 e3 20 69 25 3d 30 20  |  .....  . i%=0 |
000001a0  b8 20 41 25 2d 31 0d 00  f0 31 20 20 20 e7 20 73  |. A%-1...1   . s|
000001b0  75 6d 25 28 69 25 29 20  86 20 69 25 2a 32 2c 20  |um%(i%) . i%*2, |
000001c0  30 2c 20 69 25 2a 32 2c  20 73 75 6d 25 28 69 25  |0, i%*2, sum%(i%|
000001d0  29 2a 73 63 61 6c 65 0d  00 fa 07 20 20 ed 0d 01  |)*scale....  ...|
000001e0  04 06 20 cd 0d 01 0e 07  fd 20 a3 0d 01 18 05 3a  |.. ...... .....:|
000001f0  0d 01 22 05 e0 0d 01 2c  05 3a 0d 01 36 05 3a 0d  |.."....,.:..6.:.|
00000200  01 40 0a dd 20 f2 61 73  73 0d 01 4a 10 de 20 63  |.@.. .ass..J.. c|
00000210  6f 64 65 25 20 31 30 32  34 0d 01 54 15 e3 20 70  |ode% 1024..T.. p|
00000220  61 73 73 25 3d 30 20 b8  20 32 20 88 20 32 0d 01  |ass%=0 . 2 . 2..|
00000230  5e 0c 50 25 3d 63 6f 64  65 25 0d 01 68 0e 5b 4f  |^.P%=code%..h.[O|
00000240  50 54 20 70 61 73 73 25  0d 01 72 05 3a 0d 01 7c  |PT pass%..r.:..||
00000250  14 2e 61 64 64 72 5f 6e  25 20 20 45 51 55 44 20  |..addr_n%  EQUD |
00000260  30 0d 01 86 14 2e 61 64  64 72 5f 6d 25 20 20 45  |0.....addr_m%  E|
00000270  51 55 44 20 30 0d 01 90  1d 2e 73 65 65 64 25 20  |QUD 0.....seed% |
00000280  20 20 20 45 51 55 44 20  2d 31 3a 45 51 55 44 20  |   EQUD -1:EQUD |
00000290  2d 31 0d 01 9a 05 3a 0d  01 a4 45 2e 72 6e 64 5f  |-1....:...E.rnd_|
000002a0  75 6e 69 66 6f 72 6d 25  20 20 20 20 20 20 20 20  |uniform%        |
000002b0  20 20 20 20 20 20 20 20  20 3b 50 75 72 70 6f 73  |         ;Purpos|
000002c0  65 20 2d 20 67 65 6e 65  72 61 74 65 20 61 20 72  |e - generate a r|
000002d0  61 6e 64 6f 6d 20 6e 75  6d 62 65 72 0d 01 ae 44  |andom number...D|
000002e0  3a 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |:               |
000002f0  20 20 20 20 20 20 20 20  20 20 20 20 20 20 3b 20  |              ; |
00000300  20 20 20 20 20 20 20 20  20 69 6e 20 74 68 65 20  |         in the |
00000310  72 61 6e 67 65 20 30 2c  2e 2e 2e 2c 6e 25 2d 31  |range 0,...,n%-1|
00000320  0d 01 b8 05 3a 0d 01 c2  45 3a 20 20 20 20 20 20  |....:...E:      |
00000330  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000340  20 20 20 20 20 20 20 3b  44 65 66 69 6e 65 20 6d  |       ;Define m|
00000350  25 20 3d 20 31 3c 3c 6b  25 2c 20 77 68 65 72 65  |% = 1<<k%, where|
00000360  20 6b 25 20 69 73 20 74  68 65 0d 01 cc 44 3a 20  | k% is the...D: |
00000370  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000380  20 20 20 20 20 20 20 20  20 20 20 20 3b 6d 69 6e  |            ;min|
00000390  69 6d 61 6c 20 69 6e 74  65 67 65 72 20 73 75 63  |imal integer suc|
000003a0  68 20 74 68 61 74 20 6d  25 3e 3d 6e 25 2e 0d 01  |h that m%>=n%...|
000003b0  d6 05 3a 0d 01 e0 45 3a  20 20 20 20 20 20 20 20  |..:...E:        |
000003c0  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
000003d0  20 20 20 20 20 3b 4d 75  73 74 20 68 61 76 65 20  |     ;Must have |
000003e0  61 6c 72 65 61 64 79 20  73 74 6f 72 65 64 20 6e  |already stored n|
000003f0  25 20 26 20 6d 25 2d 31  0d 01 ea 41 3a 20 20 20  |% & m%-1...A:   |
00000400  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000410  20 20 20 20 20 20 20 20  20 20 3b 69 6e 20 61 64  |          ;in ad|
00000420  64 72 5f 6e 25 20 26 20  61 64 64 72 5f 6d 25 2c  |dr_n% & addr_m%,|
00000430  20 70 72 69 6f 72 20 74  6f 0d 01 f4 38 3a 20 20  | prior to...8:  |
00000440  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000450  20 20 20 20 20 20 20 20  20 20 20 3b 63 61 6c 6c  |           ;call|
00000460  69 6e 67 20 72 6e 64 5f  75 6e 69 66 6f 72 6d 25  |ing rnd_uniform%|
00000470  2e 0d 01 fe 45 3a 20 20  20 20 20 20 20 20 20 20  |....E:          |
00000480  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000490  20 20 20 3b 4e 42 20 63  61 6c 63 5f 6d 25 20 77  |   ;NB calc_m% w|
000004a0  69 6c 6c 20 63 6f 6d 70  75 74 65 20 6d 25 20 66  |ill compute m% f|
000004b0  6f 72 20 79 6f 75 0d 02  08 30 3a 20 20 20 20 20  |or you...0:     |
000004c0  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
000004d0  20 20 20 20 20 20 20 20  3b 20 20 20 69 66 20 6e  |        ;   if n|
000004e0  65 65 64 65 64 2e 0d 02  12 18 41 44 52 20 20 20  |eeded.....ADR   |
000004f0  20 20 20 20 30 2c 20 61  64 64 72 5f 6e 25 0d 02  |    0, addr_n%..|
00000500  1c 44 4c 44 4d 49 41 20  20 20 20 20 30 2c 20 7b  |.DLDMIA     0, {|
00000510  31 2c 32 2c 33 2c 34 7d  20 20 20 20 20 20 20 20  |1,2,3,4}        |
00000520  3b 72 31 3d 6e 25 2c 20  72 32 3d 6d 25 2d 31 2c  |;r1=n%, r2=m%-1,|
00000530  20 72 33 2c 72 34 3d 33  33 2d 62 69 74 20 73 65  | r3,r4=33-bit se|
00000540  65 64 0d 02 26 44 3a 20  20 20 20 20 20 20 20 20  |ed..&D:         |
00000550  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
00000560  20 20 20 20 3b 20 20 20  20 28 62 30 2d 62 33 31  |    ;    (b0-b31|
00000570  20 69 6e 20 72 33 2c 20  62 33 32 20 69 6e 20 6c  | in r3, b32 in l|
00000580  73 62 20 72 34 29 0d 02  30 15 2e 72 6e 64 5f 75  |sb r4)..0..rnd_u|
00000590  6e 69 66 6f 72 6d 5f 67  65 6e 25 0d 02 3a 40 4d  |niform_gen%..:@M|
000005a0  4f 56 53 20 20 20 20 20  20 34 2c 20 34 2c 20 4c  |OVS      4, 4, L|
000005b0  53 52 20 23 31 20 20 20  20 20 20 20 20 3b 67 65  |SR #1        ;ge|
000005c0  6e 65 72 61 74 65 20 72  61 6e 64 6f 6d 20 33 32  |nerate random 32|
000005d0  2d 62 69 74 20 6e 75 6d  62 65 72 0d 02 44 17 4d  |-bit number..D.M|
000005e0  4f 56 53 20 20 20 20 20  20 30 2c 20 33 2c 20 52  |OVS      0, 3, R|
000005f0  52 58 0d 02 4e 15 41 44  43 20 20 20 20 20 20 20  |RX..N.ADC       |
00000600  34 2c 20 34 2c 20 34 0d  02 58 1c 82 20 20 20 20  |4, 4, 4..X..    |
00000610  20 20 20 30 2c 20 30 2c  20 33 2c 20 4c 53 4c 20  |   0, 0, 3, LSL |
00000620  23 31 32 0d 02 62 1c 82  20 20 20 20 20 20 20 33  |#12..b..       3|
00000630  2c 20 30 2c 20 30 2c 20  4c 53 52 20 23 32 30 0d  |, 0, 0, LSR #20.|
00000640  02 6c 3b 80 20 20 20 20  20 20 20 30 2c 20 33 2c  |.l;.       0, 3,|
00000650  20 32 20 20 20 20 20 20  20 20 20 20 20 20 20 3b  | 2             ;|
00000660  6d 61 73 6b 20 33 32 2d  62 69 74 20 6e 75 6d 62  |mask 32-bit numb|
00000670  65 72 20 62 79 20 6d 25  2d 31 0d 02 76 12 43 4d  |er by m%-1..v.CM|
00000680  50 20 20 20 20 20 20 20  30 2c 20 31 0d 02 80 42  |P       0, 1...B|
00000690  42 48 53 20 20 20 20 20  20 20 72 6e 64 5f 75 6e  |BHS       rnd_un|
000006a0  69 66 6f 72 6d 5f 67 65  6e 25 20 20 20 20 3b 74  |iform_gen%    ;t|
000006b0  72 79 20 61 67 61 69 6e  20 69 66 20 6e 6f 74 20  |ry again if not |
000006c0  71 75 69 74 65 20 69 6e  20 72 61 6e 67 65 0d 02  |quite in range..|
000006d0  8a 05 3a 0d 02 94 46 3a  20 20 20 20 20 20 20 20  |..:...F:        |
000006e0  20 20 20 20 20 20 20 20  20 20 20 20 20 20 20 20  |                |
000006f0  20 20 20 20 20 3b 72 30  20 3d 20 72 61 6e 64 6f  |     ;r0 = rando|
00000700  6d 20 6e 75 6d 62 65 72  2c 20 72 61 6e 67 65 20  |m number, range |
00000710  30 2c 2e 2e 2e 6e 25 2d  31 0d 02 9e 43 41 44 52  |0,...n%-1...CADR|
00000720  20 20 20 20 20 20 20 31  2c 20 73 65 65 64 25 20  |       1, seed% |
00000730  20 20 20 20 20 20 20 20  20 20 20 3b 6e 6f 74 65  |           ;note|
00000740  20 61 62 6f 76 65 20 6c  6f 6f 70 20 74 61 6b 65  | above loop take|
00000750  73 20 61 76 65 72 61 67  65 20 6f 66 0d 02 a8 46  |s average of...F|
00000760  53 54 4d 49 41 20 20 20  20 20 31 2c 20 7b 33 2c  |STMIA     1, {3,|
00000770  34 7d 20 20 20 20 20 20  20 20 20 20 20 20 3b 38  |4}            ;8|
00000780  20 74 6f 20 31 39 20 63  79 63 6c 65 73 20 74 6f  | to 19 cycles to|
00000790  20 65 78 65 63 75 74 65  20 64 65 70 65 6e 64 69  | execute dependi|
000007a0  6e 67 0d 02 b2 3e 4d 4f  56 53 20 20 20 20 20 20  |ng...>MOVS      |
000007b0  50 43 2c 20 31 34 20 20  20 20 20 20 20 20 20 20  |PC, 14          |
000007c0  20 20 20 20 3b 6f 6e 20  6e 25 2f 6d 25 20 28 31  |    ;on n%/m% (1|
000007d0  20 3e 3d 20 6e 25 2f 6d  25 20 3e 20 30 2e 35 29  | >= n%/m% > 0.5)|
000007e0  0d 02 bc 05 3a 0d 02 c6  05 3a 0d 02 d0 44 2e 63  |....:....:...D.c|
000007f0  61 6c 63 5f 6d 25 20 20  20 20 20 20 20 20 20 20  |alc_m%          |
00000800  20 20 3b 45 78 70 65 63  74 73 20 6e 25 20 69 6e  |  ;Expects n% in|
00000810  20 72 30 2c 20 63 61 6c  63 73 20 6d 25 20 26 20  | r0, calcs m% & |
00000820  73 74 6f 72 65 73 20 6e  25 2c 6d 25 2d 31 0d 02  |stores n%,m%-1..|
00000830  da 13 43 4d 50 20 20 20  20 20 20 20 30 2c 20 23  |..CMP       0, #|
00000840  30 0d 02 e4 3f ec 51 20  20 20 20 20 30 2c 20 23  |0...?.Q     0, #|
00000850  31 20 20 20 20 20 3b 61  20 62 6f 64 67 65 20 74  |1     ;a bodge t|
00000860  6f 20 64 65 61 6c 20 77  69 74 68 20 64 65 67 65  |o deal with dege|
00000870  6e 65 72 61 74 65 20 63  61 73 65 20 6e 25 3d 30  |nerate case n%=0|
00000880  0d 02 ee 16 53 55 42 53  20 20 20 20 20 20 33 2c  |....SUBS      3,|
00000890  20 30 2c 20 23 31 0d 02  f8 13 4d 4f 56 20 20 20  | 0, #1....MOV   |
000008a0  20 20 20 20 31 2c 20 23  30 0d 03 02 27 42 45 51  |    1, #0...'BEQ|
000008b0  20 20 20 20 20 20 20 63  61 6c 63 5f 6d 5f 64 6f  |       calc_m_do|
000008c0  6e 65 25 20 20 20 20 20  20 20 20 3b 6e 25 3d 31  |ne%        ;n%=1|
000008d0  0d 03 0c 13 4d 4f 56 20  20 20 20 20 20 20 32 2c  |....MOV       2,|
000008e0  20 23 31 0d 03 16 1a 4d  4f 56 53 20 20 20 20 20  | #1....MOVS     |
000008f0  20 33 2c 20 33 2c 20 4c  53 52 20 23 31 0d 03 20  | 3, 3, LSR #1.. |
00000900  1d 41 44 44 20 20 20 20  20 20 20 31 2c 20 32 2c  |.ADD       1, 2,|
00000910  20 31 2c 20 4c 53 4c 20  23 31 0d 03 2a 27 42 45  | 1, LSL #1..*'BE|
00000920  51 20 20 20 20 20 20 20  63 61 6c 63 5f 6d 5f 64  |Q       calc_m_d|
00000930  6f 6e 65 25 20 20 20 20  20 20 20 20 3b 6e 25 3d  |one%        ;n%=|
00000940  32 0d 03 34 05 5d 0d 03  3e 0f e3 20 69 25 3d 32  |2..4.]..>.. i%=2|
00000950  20 b8 20 33 30 0d 03 48  0e 5b 4f 50 54 20 70 61  | . 30..H.[OPT pa|
00000960  73 73 25 0d 03 52 1a 4d  4f 56 53 20 20 20 20 20  |ss%..R.MOVS     |
00000970  20 33 2c 20 33 2c 20 4c  53 52 20 23 31 0d 03 5c  | 3, 3, LSR #1..\|
00000980  1d 41 44 44 20 20 20 20  20 20 20 31 2c 20 32 2c  |.ADD       1, 2,|
00000990  20 31 2c 20 4c 53 4c 20  23 31 0d 03 66 38 42 45  | 1, LSL #1..f8BE|
000009a0  51 20 20 20 20 20 20 20  63 61 6c 63 5f 6d 5f 64  |Q       calc_m_d|
000009b0  6f 6e 65 25 20 20 20 20  20 20 20 20 3b 32 5e 28  |one%        ;2^(|
000009c0  69 25 2d 31 29 20 3c 20  6e 25 20 3c 3d 20 32 5e  |i%-1) < n% <= 2^|
000009d0  69 25 0d 03 70 05 5d 0d  03 7a 05 ed 0d 03 84 0e  |i%..p.]..z......|
000009e0  5b 4f 50 54 20 70 61 73  73 25 0d 03 8e 1a 4d 4f  |[OPT pass%....MO|
000009f0  56 53 20 20 20 20 20 20  33 2c 20 33 2c 20 4c 53  |VS      3, 3, LS|
00000a00  52 20 23 31 0d 03 98 2c  41 44 44 20 20 20 20 20  |R #1...,ADD     |
00000a10  20 20 31 2c 20 32 2c 20  31 2c 20 4c 53 4c 20 23  |  1, 2, 1, LSL #|
00000a20  31 20 20 20 20 20 3b 32  5e 33 30 20 3c 20 6e 25  |1     ;2^30 < n%|
00000a30  0d 03 a2 33 41 44 44 4e  45 20 20 20 20 20 31 2c  |...3ADDNE     1,|
00000a40  20 32 2c 20 31 2c 20 4c  53 4c 20 23 31 20 20 20  | 2, 1, LSL #1   |
00000a50  20 20 3b 32 5e 33 31 20  3c 20 6e 25 20 3c 20 32  |  ;2^31 < n% < 2|
00000a60  5e 33 32 0d 03 ac 11 2e  63 61 6c 63 5f 6d 5f 64  |^32.....calc_m_d|
00000a70  6f 6e 65 25 0d 03 b6 18  41 44 52 20 20 20 20 20  |one%....ADR     |
00000a80  20 20 32 2c 20 61 64 64  72 5f 6e 25 0d 03 c0 16  |  2, addr_n%....|
00000a90  53 54 4d 49 41 20 20 20  20 20 32 2c 20 7b 30 2c  |STMIA     2, {0,|
00000aa0  31 7d 0d 03 ca 14 4d 4f  56 53 20 20 20 20 20 20  |1}....MOVS      |
00000ab0  50 43 2c 20 31 34 0d 03  d4 05 3a 0d 03 de 05 5d  |PC, 14....:....]|
00000ac0  0d 03 e8 05 ed 0d 03 f2  05 e1 0d 03 fc 05 3a 0d  |..............:.|
00000ad0  04 06 16 dd 20 f2 72 65  61 64 6d 6f 6e 69 74 6f  |.... .readmonito|
00000ae0  72 74 79 70 65 0d 04 10  22 c8 99 20 22 4f 53 5f  |rtype...".. "OS_|
00000af0  42 79 74 65 22 2c 31 36  31 2c 31 33 33 20 b8 20  |Byte",161,133 . |
00000b00  2c 2c 74 79 70 65 25 0d  04 1a 1a 74 79 70 65 25  |,,type%....type%|
00000b10  3d 28 74 79 70 65 25 20  80 20 31 32 29 20 81 20  |=(type% . 12) . |
00000b20  34 0d 04 24 1c e7 20 74  79 70 65 25 3d 31 20 6d  |4..$.. type%=1 m|
00000b30  6f 25 3d 31 38 20 8b 20  6d 6f 25 3d 30 0d 04 2e  |o%=18 . mo%=0...|
00000b40  05 e1 0d ff                                       |....|
00000b44