Home » Archimedes archive » Acorn Computing » 1994 09.adf » 9409 » TechForum/DivMod10

TechForum/DivMod10

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 Computing » 1994 09.adf » 9409
Filename: TechForum/DivMod10
Read OK:
File size: 06F4 bytes
Load address: 0000
Exec address: 0000
File contents
   10REM >DivMod10
   20REM based on code by A F Reysenbach (c) BAU October 1992
   30REM modified by mroz to output both quotient & remainder, plus to support negative numerator & fix bug
   40REM allowing use with bit-30 set values
   50REM for 32-bit machines
   60:
   70MODE 0
   80DIM mod 1024
   90a=0:b=1:c=2:d=3
  100FOR pass%=0 TO 3 STEP 3
  110P%=mod
  120[       OPT     pass%
  130        ADDS    a,b,b           ;remove iff b always +'ve
  140        RSBCS   b,b,#0          ;remove iff b always +'ve
  150        ADC     d,d,d           ;remove iff b always +'ve
  160        ADD     a,b,b,LSR #1
  170        ADD     a,a,a,LSR #4
  180        ADD     a,a,a,LSR #8
  190        ADD     a,a,a,LSR #16
  200        MOV     a,a,LSR #4
  210        ADD     c,a,a,ASL #2
  220        SUB     c,b,c,ASL #1
  230        CMP     c,#10
  240        ADDGE   a,a,#1
  250        SUBGE   c,c,#10
  260        MOVS    d,d,ASR #1      ;remove iff b always +'ve
  270        RSBCS   a,a,#0          ;remove iff b always +'ve
  280        RSBCS   c,c,#0          ;remove iff b always +'ve
  290        RSBCS   b,b,#0          ;remove iff don't need to preserve sign of b or b always +'ve
  300        STR     c, m%
  310        MOV     pc,R14
  320.m%     EQUD    0
  330]
  340NEXT
  350B%=0
  360REPEAT
  370  B%=-B%
  380  C%=USR(mod)
  390  D%=B%DIV10: E%=B%MOD10
  400  IF C%<>D% OR !m%<>E% PRINT"******************************************************************":VDU 7
  410  PRINT B%,C%,!m%;"  ", D%,E%
  420  IF C%<>D% OR !m%<>E% PRINT"******************************************************************":VDU 7
  430  B%=-B%
  440  C%=USR(mod)
  450  D%=B%DIV10: E%=B%MOD10
  460  IF C%<>D% OR !m%<>E% PRINT"******************************************************************":VDU 7
  470  PRINT B%,C%,!m%;"  ", D%,E%
  480  IF C%<>D% OR !m%<>E% PRINT"******************************************************************":VDU 7
  490  B%+=1
  500UNTIL FALSE
  510END

� >DivMod10
:� based on code by A F Reysenbach (c) BAU October 1992
h� modified by mroz to output both quotient & remainder, plus to support negative numerator & fix bug
()� allowing use with bit-30 set values
2� for 32-bit machines
<:
F� 0
P� mod 1024
Za=0:b=1:c=2:d=3
d� pass%=0 � 3 � 3
n
P%=mod
x[       OPT     pass%
�=        ADDS    a,b,b           ;remove iff b always +'ve
�=        RSBCS   b,b,#0          ;remove iff b always +'ve
�=        ADC     d,d,d           ;remove iff b always +'ve
�         ADD     a,b,b,LSR #1
�         ADD     a,a,a,LSR #4
�         ADD     a,a,a,LSR #8
�!        ADD     a,a,a,LSR #16
�        MOV     a,a,LSR #4
�         ADD     c,a,a,ASL #2
�         SUB     c,b,c,ASL #1
�        CMP     c,#10
�        ADDGE   a,a,#1
�        SUBGE   c,c,#10
=        MOVS    d,d,ASR #1      ;remove iff b always +'ve
=        RSBCS   a,a,#0          ;remove iff b always +'ve
=        RSBCS   c,c,#0          ;remove iff b always +'ve
"a        RSBCS   b,b,#0          ;remove iff don't need to preserve sign of b or b always +'ve
,        STR     c, m%
6        MOV     pc,R14
@.m%     EQUD    0
J]
T�
^B%=0
h�
r  B%=-B%
|  C%=�(mod)
�  D%=B%�10: E%=B%�10
�b  � C%<>D% � !m%<>E% �"******************************************************************":� 7
�  � B%,C%,!m%;"  ", D%,E%
�b  � C%<>D% � !m%<>E% �"******************************************************************":� 7
�  B%=-B%
�  C%=�(mod)
�  D%=B%�10: E%=B%�10
�b  � C%<>D% � !m%<>E% �"******************************************************************":� 7
�  � B%,C%,!m%;"  ", D%,E%
�b  � C%<>D% � !m%<>E% �"******************************************************************":� 7
�  B%+=1
�� �
��
�
00000000  0d 00 0a 0f f4 20 3e 44  69 76 4d 6f 64 31 30 0d  |..... >DivMod10.|
00000010  00 14 3a f4 20 62 61 73  65 64 20 6f 6e 20 63 6f  |..:. based on co|
00000020  64 65 20 62 79 20 41 20  46 20 52 65 79 73 65 6e  |de by A F Reysen|
00000030  62 61 63 68 20 28 63 29  20 42 41 55 20 4f 63 74  |bach (c) BAU Oct|
00000040  6f 62 65 72 20 31 39 39  32 0d 00 1e 68 f4 20 6d  |ober 1992...h. m|
00000050  6f 64 69 66 69 65 64 20  62 79 20 6d 72 6f 7a 20  |odified by mroz |
00000060  74 6f 20 6f 75 74 70 75  74 20 62 6f 74 68 20 71  |to output both q|
00000070  75 6f 74 69 65 6e 74 20  26 20 72 65 6d 61 69 6e  |uotient & remain|
00000080  64 65 72 2c 20 70 6c 75  73 20 74 6f 20 73 75 70  |der, plus to sup|
00000090  70 6f 72 74 20 6e 65 67  61 74 69 76 65 20 6e 75  |port negative nu|
000000a0  6d 65 72 61 74 6f 72 20  26 20 66 69 78 20 62 75  |merator & fix bu|
000000b0  67 0d 00 28 29 f4 20 61  6c 6c 6f 77 69 6e 67 20  |g..(). allowing |
000000c0  75 73 65 20 77 69 74 68  20 62 69 74 2d 33 30 20  |use with bit-30 |
000000d0  73 65 74 20 76 61 6c 75  65 73 0d 00 32 19 f4 20  |set values..2.. |
000000e0  66 6f 72 20 33 32 2d 62  69 74 20 6d 61 63 68 69  |for 32-bit machi|
000000f0  6e 65 73 0d 00 3c 05 3a  0d 00 46 07 eb 20 30 0d  |nes..<.:..F.. 0.|
00000100  00 50 0e de 20 6d 6f 64  20 31 30 32 34 0d 00 5a  |.P.. mod 1024..Z|
00000110  13 61 3d 30 3a 62 3d 31  3a 63 3d 32 3a 64 3d 33  |.a=0:b=1:c=2:d=3|
00000120  0d 00 64 15 e3 20 70 61  73 73 25 3d 30 20 b8 20  |..d.. pass%=0 . |
00000130  33 20 88 20 33 0d 00 6e  0a 50 25 3d 6d 6f 64 0d  |3 . 3..n.P%=mod.|
00000140  00 78 19 5b 20 20 20 20  20 20 20 4f 50 54 20 20  |.x.[       OPT  |
00000150  20 20 20 70 61 73 73 25  0d 00 82 3d 20 20 20 20  |   pass%...=    |
00000160  20 20 20 20 41 44 44 53  20 20 20 20 61 2c 62 2c  |    ADDS    a,b,|
00000170  62 20 20 20 20 20 20 20  20 20 20 20 3b 72 65 6d  |b           ;rem|
00000180  6f 76 65 20 69 66 66 20  62 20 61 6c 77 61 79 73  |ove iff b always|
00000190  20 2b 27 76 65 0d 00 8c  3d 20 20 20 20 20 20 20  | +'ve...=       |
000001a0  20 52 53 42 43 53 20 20  20 62 2c 62 2c 23 30 20  | RSBCS   b,b,#0 |
000001b0  20 20 20 20 20 20 20 20  20 3b 72 65 6d 6f 76 65  |         ;remove|
000001c0  20 69 66 66 20 62 20 61  6c 77 61 79 73 20 2b 27  | iff b always +'|
000001d0  76 65 0d 00 96 3d 20 20  20 20 20 20 20 20 41 44  |ve...=        AD|
000001e0  43 20 20 20 20 20 64 2c  64 2c 64 20 20 20 20 20  |C     d,d,d     |
000001f0  20 20 20 20 20 20 3b 72  65 6d 6f 76 65 20 69 66  |      ;remove if|
00000200  66 20 62 20 61 6c 77 61  79 73 20 2b 27 76 65 0d  |f b always +'ve.|
00000210  00 a0 20 20 20 20 20 20  20 20 20 41 44 44 20 20  |..         ADD  |
00000220  20 20 20 61 2c 62 2c 62  2c 4c 53 52 20 23 31 0d  |   a,b,b,LSR #1.|
00000230  00 aa 20 20 20 20 20 20  20 20 20 41 44 44 20 20  |..         ADD  |
00000240  20 20 20 61 2c 61 2c 61  2c 4c 53 52 20 23 34 0d  |   a,a,a,LSR #4.|
00000250  00 b4 20 20 20 20 20 20  20 20 20 41 44 44 20 20  |..         ADD  |
00000260  20 20 20 61 2c 61 2c 61  2c 4c 53 52 20 23 38 0d  |   a,a,a,LSR #8.|
00000270  00 be 21 20 20 20 20 20  20 20 20 41 44 44 20 20  |..!        ADD  |
00000280  20 20 20 61 2c 61 2c 61  2c 4c 53 52 20 23 31 36  |   a,a,a,LSR #16|
00000290  0d 00 c8 1e 20 20 20 20  20 20 20 20 4d 4f 56 20  |....        MOV |
000002a0  20 20 20 20 61 2c 61 2c  4c 53 52 20 23 34 0d 00  |    a,a,LSR #4..|
000002b0  d2 20 20 20 20 20 20 20  20 20 41 44 44 20 20 20  |.         ADD   |
000002c0  20 20 63 2c 61 2c 61 2c  41 53 4c 20 23 32 0d 00  |  c,a,a,ASL #2..|
000002d0  dc 20 20 20 20 20 20 20  20 20 53 55 42 20 20 20  |.         SUB   |
000002e0  20 20 63 2c 62 2c 63 2c  41 53 4c 20 23 31 0d 00  |  c,b,c,ASL #1..|
000002f0  e6 19 20 20 20 20 20 20  20 20 43 4d 50 20 20 20  |..        CMP   |
00000300  20 20 63 2c 23 31 30 0d  00 f0 1a 20 20 20 20 20  |  c,#10....     |
00000310  20 20 20 41 44 44 47 45  20 20 20 61 2c 61 2c 23  |   ADDGE   a,a,#|
00000320  31 0d 00 fa 1b 20 20 20  20 20 20 20 20 53 55 42  |1....        SUB|
00000330  47 45 20 20 20 63 2c 63  2c 23 31 30 0d 01 04 3d  |GE   c,c,#10...=|
00000340  20 20 20 20 20 20 20 20  4d 4f 56 53 20 20 20 20  |        MOVS    |
00000350  64 2c 64 2c 41 53 52 20  23 31 20 20 20 20 20 20  |d,d,ASR #1      |
00000360  3b 72 65 6d 6f 76 65 20  69 66 66 20 62 20 61 6c  |;remove iff b al|
00000370  77 61 79 73 20 2b 27 76  65 0d 01 0e 3d 20 20 20  |ways +'ve...=   |
00000380  20 20 20 20 20 52 53 42  43 53 20 20 20 61 2c 61  |     RSBCS   a,a|
00000390  2c 23 30 20 20 20 20 20  20 20 20 20 20 3b 72 65  |,#0          ;re|
000003a0  6d 6f 76 65 20 69 66 66  20 62 20 61 6c 77 61 79  |move iff b alway|
000003b0  73 20 2b 27 76 65 0d 01  18 3d 20 20 20 20 20 20  |s +'ve...=      |
000003c0  20 20 52 53 42 43 53 20  20 20 63 2c 63 2c 23 30  |  RSBCS   c,c,#0|
000003d0  20 20 20 20 20 20 20 20  20 20 3b 72 65 6d 6f 76  |          ;remov|
000003e0  65 20 69 66 66 20 62 20  61 6c 77 61 79 73 20 2b  |e iff b always +|
000003f0  27 76 65 0d 01 22 61 20  20 20 20 20 20 20 20 52  |'ve.."a        R|
00000400  53 42 43 53 20 20 20 62  2c 62 2c 23 30 20 20 20  |SBCS   b,b,#0   |
00000410  20 20 20 20 20 20 20 3b  72 65 6d 6f 76 65 20 69  |       ;remove i|
00000420  66 66 20 64 6f 6e 27 74  20 6e 65 65 64 20 74 6f  |ff don't need to|
00000430  20 70 72 65 73 65 72 76  65 20 73 69 67 6e 20 6f  | preserve sign o|
00000440  66 20 62 20 6f 72 20 62  20 61 6c 77 61 79 73 20  |f b or b always |
00000450  2b 27 76 65 0d 01 2c 19  20 20 20 20 20 20 20 20  |+'ve..,.        |
00000460  53 54 52 20 20 20 20 20  63 2c 20 6d 25 0d 01 36  |STR     c, m%..6|
00000470  1a 20 20 20 20 20 20 20  20 4d 4f 56 20 20 20 20  |.        MOV    |
00000480  20 70 63 2c 52 31 34 0d  01 40 15 2e 6d 25 20 20  | pc,R14..@..m%  |
00000490  20 20 20 45 51 55 44 20  20 20 20 30 0d 01 4a 05  |   EQUD    0..J.|
000004a0  5d 0d 01 54 05 ed 0d 01  5e 08 42 25 3d 30 0d 01  |]..T....^.B%=0..|
000004b0  68 05 f5 0d 01 72 0c 20  20 42 25 3d 2d 42 25 0d  |h....r.  B%=-B%.|
000004c0  01 7c 0f 20 20 43 25 3d  ba 28 6d 6f 64 29 0d 01  |.|.  C%=.(mod)..|
000004d0  86 18 20 20 44 25 3d 42  25 81 31 30 3a 20 45 25  |..  D%=B%.10: E%|
000004e0  3d 42 25 83 31 30 0d 01  90 62 20 20 e7 20 43 25  |=B%.10...b  . C%|
000004f0  3c 3e 44 25 20 84 20 21  6d 25 3c 3e 45 25 20 f1  |<>D% . !m%<>E% .|
00000500  22 2a 2a 2a 2a 2a 2a 2a  2a 2a 2a 2a 2a 2a 2a 2a  |"***************|
00000510  2a 2a 2a 2a 2a 2a 2a 2a  2a 2a 2a 2a 2a 2a 2a 2a  |****************|
*
00000540  2a 2a 2a 22 3a ef 20 37  0d 01 9a 1d 20 20 f1 20  |***":. 7....  . |
00000550  42 25 2c 43 25 2c 21 6d  25 3b 22 20 20 22 2c 20  |B%,C%,!m%;"  ", |
00000560  44 25 2c 45 25 0d 01 a4  62 20 20 e7 20 43 25 3c  |D%,E%...b  . C%<|
00000570  3e 44 25 20 84 20 21 6d  25 3c 3e 45 25 20 f1 22  |>D% . !m%<>E% ."|
00000580  2a 2a 2a 2a 2a 2a 2a 2a  2a 2a 2a 2a 2a 2a 2a 2a  |****************|
*
000005c0  2a 2a 22 3a ef 20 37 0d  01 ae 0c 20 20 42 25 3d  |**":. 7....  B%=|
000005d0  2d 42 25 0d 01 b8 0f 20  20 43 25 3d ba 28 6d 6f  |-B%....  C%=.(mo|
000005e0  64 29 0d 01 c2 18 20 20  44 25 3d 42 25 81 31 30  |d)....  D%=B%.10|
000005f0  3a 20 45 25 3d 42 25 83  31 30 0d 01 cc 62 20 20  |: E%=B%.10...b  |
00000600  e7 20 43 25 3c 3e 44 25  20 84 20 21 6d 25 3c 3e  |. C%<>D% . !m%<>|
00000610  45 25 20 f1 22 2a 2a 2a  2a 2a 2a 2a 2a 2a 2a 2a  |E% ."***********|
00000620  2a 2a 2a 2a 2a 2a 2a 2a  2a 2a 2a 2a 2a 2a 2a 2a  |****************|
*
00000650  2a 2a 2a 2a 2a 2a 2a 22  3a ef 20 37 0d 01 d6 1d  |*******":. 7....|
00000660  20 20 f1 20 42 25 2c 43  25 2c 21 6d 25 3b 22 20  |  . B%,C%,!m%;" |
00000670  20 22 2c 20 44 25 2c 45  25 0d 01 e0 62 20 20 e7  | ", D%,E%...b  .|
00000680  20 43 25 3c 3e 44 25 20  84 20 21 6d 25 3c 3e 45  | C%<>D% . !m%<>E|
00000690  25 20 f1 22 2a 2a 2a 2a  2a 2a 2a 2a 2a 2a 2a 2a  |% ."************|
000006a0  2a 2a 2a 2a 2a 2a 2a 2a  2a 2a 2a 2a 2a 2a 2a 2a  |****************|
*
000006d0  2a 2a 2a 2a 2a 2a 22 3a  ef 20 37 0d 01 ea 0b 20  |******":. 7.... |
000006e0  20 42 25 2b 3d 31 0d 01  f4 07 fd 20 a3 0d 01 fe  | B%+=1..... ....|
000006f0  05 e0 0d ff                                       |....|
000006f4