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Reformat FACTOR disassembly to match RZ;FACTOR 26.

@larsbrinkhoff found the source for a slightly later version of FACTOR.
This produces the same binary as my original disassembly, but matches
RZ's source where possible, for easier comparison.
This commit is contained in:
Adam Sampson
2018-04-09 23:25:06 +01:00
committed by Adam Sampson
parent 93879ee82f
commit d1b101b3eb
2 changed files with 289 additions and 299 deletions

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@@ -1,299 +0,0 @@
;Factor integers using trial division -*-MIDAS-*-
;This was reconstructed in 2018 from AI:SYS1;TS FACTOR, dated 1977-09-27.
Z=0
A=1
B=2
C=3
D=4
DV=5
E=5
P=6
TTYI=1
TTYO=2
FILEI=3
.KILL TTYI, TTYO, FILEI
;This is the inner loop of the trial division code - it's loaded into
;the registers to speed it up.
LOC 7
;CD is the number being tested. E is the candidate factor.
;The TRC/ADDI self-modifying code means that it alternates between
;adding 2 and 4 to E on each iteration, so the factors it tries are
;5, 7, 11, 13, 17, 19, 23, 25... i.e. it skips multiples of 2 and 3.
;(See <https://oeis.org/A007310> for more about this sequence.)
TEST: TRC INCR,6 ;Complement the 2 and 4 bits in ADDI below
INCR: ADDI E,2 ;Next candidate; modified by TEST/NO3
RETEST: MOVE Z,C
MOVE B,D
IDIV Z,E ;Z := Z div E; A := Z mod E
DIV A,E ;A := AB div E; B := AB mod E
CAMLE E,A
JUMPE Z,PRIME ;No more factors to try, so CD is prime
JUMPN B,TEST ;Not divisible by E; try the next candidate
;That's the end of the registers; the instruction below is at 20.
JRST FOUND ;Found a factor (but CD may still be composite)
;Entry point
LOC 100
G0:
PDLL: MOVE P,[777700,,PDL]
.OPEN TTYI,[10+.UAI,,'TTY] ;Open in "DDT mode" (don't echo CR etc.)
.VALUE 0
.OPEN TTYO,[.UAO,,'TTY]
.VALUE 0
DECIMA: MOVEI C,10. ;Base 10 input by default
RADSET: MOVEM C,RADX
RESET: PUSHJ P,PROMPT
ZBC: SETZB B,C ;BC holds current value; clear it
LOOP: PUSHJ P,TYI ;Read key and dispatch appropriately
CAIN A,177 ;RUBOUT
JRST RESET
CAIN A,"R
JRST RADSET
CAIN A,"D
JRST DECIMA
CAIE A,":
CAIN A,"*
JRST TIMES
CAIN A,"?
JRST INFO
CAIN A,"C
JRST CLIST
CAIN A,"Q
JRST QUERY
CAIN A,"N
JRST LOAD
CAIE A,";
CAIN A,"+
JRST PLUS
CAIN A,"-
JRST MINUS
CAIN A,"L
JRST LARGE
CAIN A,"F
JRST FACTOR
CAIN A,40 ;space
JRST STM2
CAIN A,"/
JRST DIVIDE
CAIN A,"^
JRST POWER
CAIN A,"=
JRST EQUAL
CAIL A,"0
CAILE A,"9
JRST HUH ;Not recognised
IMUL B,RADX ;A digit - add it to BC
MUL C,RADX
ADDI D,777720(A)
TLZE D,400000
AOS C
ADD B,C
MOVE C,D
JRST LOOP
INFO: PUSHJ P,INFOPN ;Show the whole info file
.IOT FILEI,A
JUMPLE A,RESET
.IOT TTYO,A
JRST .-3
INFOPN: ;Open the info file
.SUSET [.SSNAM,,[SIXBIT/.INFO./]]
.OPEN FILEI,[.UAI,,'DSK ? SIXBIT/FACTOR/ ? SIXBIT/ORDER/]
JRST INFLOS
POPJ P,
INFLOS: SUB P,[1,,1] ;Info file can't be opened
MOVE B,[440700,,[ASCIZ/CAN'T OPEN INFO FILE/]]
JRST Q3
QUERY: PUSHJ P,INFOPN ;Look up a key in the info file
.IOT TTYI,B ;Get a key
CAIL B,"0 ;Digit?
CAILE B,"9
JRST Q0
MOVE B,[440700,,[ASCIZ/ DIGIT/]]
JRST Q3
Q0: .IOT FILEI,A ;Skip chars until LF
JUMPL A,Q1
CAIE A,12
JRST Q0
.IOT FILEI,A ;Read first char
CAME A,B ;Is it the key we're after?
JRST Q0 ;No - try next line
.IOT FILEI,A ;Read second char
JUMPL A,Q1
CAIE 1,11 ;Is it tab?
JRST Q0 ;No - try next line
JRST Q2+1 ;Found it!
Q2: .IOT FILEI,A ;Copy from file to tty until newline
.IOT TTYO,A
CAIE A,12
JRST Q2
.IOT FILEI,A ;Does next line start with tab?
CAIN 1,11
JRST Q2+1 ;Yes - print it too
JRST RESET
CLIST: ;List all keys we know about
SKIPA B,[440700,,[ASCIZ~ RD:*;+-/^NLF =QC?~]]
Q1: ;Key not found in info file
MOVE B,[440700,,[ASCIZ/ IGNORED/]]
Q3: ILDB 1,2 ;Print the ASCIZ string in B
JUMPE A,RESET
.IOT TTYO,A
JRST Q3
LOAD: MOVE B,M1 ;N - current value := arg
MOVE C,M2
JRST LOOP
POWER: MOVEI Z,777777(C) ;^ - power
MOVE A,M2
SETZ B,
MOVE C,A
POW1: IMUL B,A
MUL C,A
ADD B,C
MOVE C,D
SOJG Z,POW1
JRST STM2
DIVIDE: MOVE A,C ;/ - divide
MOVE B,M1
MOVE D,M2
IDIV B,A
DIV C,A
JRST STM2
TIMES: IMUL B,M2 ;* or : - multiply
MOVE A,C
IMUL A,M1
MUL C,M2
ADD B,C
ADD B,A
TLZ B,400000
MOVEM D,M2
MOVEM B,M1
JRST ZBC
MINUS: MOVNS C ;- - subtract
ADD C,[400000,,]
AOS B
MOVNS B
PLUS: ADD C,M2 ;+ - add
ADD B,M1
TLZE C,400000
AOS B
STM2: PUSHJ P,STM
JRST ZBC
LARGE: MOVE B,L1 ;L - current value := largest factor
MOVE C,L2
JRST STM2
STM: MOVEM B,M1 ;space - arg := current value
MOVEM C,M2
POPJ P,
EQUAL: MOVE A,M1 ;= - print current value
MOVE B,M2
PUSHJ P,SPRAB
JRST RESET
FACTOR: SKIPN C ;F - factor arg
SKIPE B
PUSHJ P,STM ;Arg isn't 0; set current value from arg
MOVE D,M1 ;Put number being factored into DE
MOVE E,M2
TEST2: JUMPN D,.+3 ;Is DE small?
CAIG E,3
JRST SPRIME ; DE < 3 - no need to factor
TRNE E,1 ;Is DE divisible by 2?
JRST ODD ; No
ASHC D,777777 ;Take out a factor of 2
MOVEI B,2
PRB: SETZM A
PUSHJ P,SPRAB ;Print factor
JRST TEST2 ;... and factor again
ODD: MOVE A,D ;Is DE divisible by 3?
MOVE C,E
IDIVI A,3
DIVI B,3
JUMPN C,NO3 ; No
MOVE D,A ;Take out a factor of 3
MOVE E,B
MOVEI B,3
JRST PRB ;Print and factor again
NO3: MOVE C,D ;Not divisible by 2 or 3: start trial division
MOVE D,E
MOVEI E,5 ;First factor to try
HRRI INCR,4 ;Set next trial division step size
JRST RETEST ;... and jump into code in registers
FOUND: MOVE D,A ;Trial division found a factor
SETZM A
MOVE B,E
PUSHJ P,SPRAB ;Print it
MOVE C,Z
JRST RETEST ;... and keep looking (starting from existing E)
SPRIME: MOVE C,D ;DE was a trivial prime to start with
MOVE D,E
PRIME: MOVEM C,L1 ;Found the largest prime factor; save it
MOVEM D,L2
MOVE A,C
MOVE B,D
PUSHJ P,SPRAB ;Print it
JRST RESET ;Done!
SPRAB: PUSHJ P,SPACE ;Print a space, then...
PRAB: MOVE C,B ;Print number in AB in decimal
IDIVI A,10.
DIVI B,10.
HRLM 3,(P)
SKIPN B
SKIPE A
PUSHJ P,PRAB
HLRZ 1,(P)
ADDI 1,60
JRST TYO
SPACE: PUSH P,A ;Print space
MOVEI A,40
PUSHJ P,TYO
POP P,A
POPJ P,
HUH: MOVEI A,"? ;Print ?
PUSHJ P,TYO
JRST LOOP
PROMPT: PUSHJ P,CR ;Print prompt
MOVEI A,"#
PUSHJ P,TYO
CR: MOVEI A,15 ;Print CRLF - CR
PUSHJ P,TYO
MOVEI A,12 ;LF
TYO: .IOT TTYO,A ;Print character in A
POPJ P,
TYI: .IOT TTYI,A ;Read character into A
POPJ P,
PDL: BLOCK 65.
RADX: BLOCK 1 ;Input radix (output is always decimal)
L1: BLOCK 1 ;L1/L2 holds largest factor found
L2: BLOCK 1
M1: BLOCK 1 ;M1/M2 holds arg
M2: BLOCK 1
CONSTA
END G0

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src/sysen3/factor.101 Normal file
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;Factor integers using trial division -*-MIDAS-*-
;This was reconstructed in 2018 from AI:SYS1;TS FACTOR, dated 1977-09-27.
TITLE FACTOR
Z=0
A=1
B=2
C=3
D=4
E=5
DV=5
P=6
.MLLIT==1
TYIC==1
TYOC==2
INFOC==3
PDLL=100
LOC 7
TEST: TRC .+1,6
INCR: ADDI DV,2
RETEST: MOVE Z,C
MOVE B,D
IDIV Z,DV
DIV A,DV
CAMLE DV,A
JUMPE Z,PRIME
JUMPN B,TEST
JRST FOUND
LOC 100
G0: MOVE P,[-PDLL,,PDL]
.OPEN TYIC,[10,,(SIXBIT /TTY/)] ;Open in "DDT mode" (don't echo CR etc.)
.VALUE 0
.OPEN TYOC,[1,,(SIXBIT /TTY/)]
.VALUE 0
DECIMA: MOVEI C,10.
RADSET: MOVEM C,RADX'
RESET: PUSHJ P,PROMPT
ZBC: SETZB B,C
LOOP: PUSHJ P,TYI
CAIN A,177 ;RUBOUT
JRST RESET
CAIN A,"R
JRST RADSET
CAIN A,"D
JRST DECIMA
CAIE A,":
CAIN A,"*
JRST TIMES
CAIN A,"?
JRST INFO
CAIN A,"C
JRST CLIST
CAIN A,"Q
JRST QUERY
CAIN A,"N
JRST LOAD
CAIE A,";
CAIN A,"+
JRST PLUS
CAIN A,"-
JRST MINUS
CAIN A,"L
JRST LARGE
CAIN A,"F
JRST FACTOR
CAIN A,40 ;space
JRST STM2
CAIN A,"/
JRST DIVIDE
CAIN A,"^
JRST POWER
CAIN A,"=
JRST EQUAL
CAIL A,"0
CAILE A,"9
JRST HUH ;Not recognised
IMUL B,RADX
MUL C,RADX
ADDI D,-"0(A)
TLZE D,400000
AOS C
ADD B,C
MOVE C,D
JRST LOOP
INFO: PUSHJ P,INFOPN
.IOT INFOC,1
JUMPLE A,RESET
.IOT TYOC,1
JRST INFO+1
INFOPN: .SUSET [.SSNAM,,[SIXBIT/.INFO./]]
.OPEN INFOC,[.UAI,,'DSK ? SIXBIT/FACTOR/ ? SIXBIT/ORDER/]
JRST INFLOS
POPJ P,
INFLOS: SUB P,[1,,1]
MOVE B,[440700,,[ASCIZ \CAN'T OPEN INFO FILE\]]
JRST Q3
QUERY: PUSHJ P,INFOPN
.IOT TYIC,2
CAIL 2,"0
CAILE 2,"9
JRST Q0
MOVE 2,[440700,,[ASCIZ/ DIGIT/]]
JRST Q3
Q0: .IOT INFOC,1
JUMPL A,Q1
CAIE 1,12 ;LINE FEED
JRST Q0
.IOT INFOC,1
CAME 1,2
JRST Q0
.IOT INFOC,1
JUMPL 1,Q1
CAIE 1,11 ;TAB
JRST Q0
JRST .+2
Q2: .IOT INFOC,1
.IOT TYOC,1
CAIE 1,12 ;LINE FEED?
JRST Q2
.IOT INFOC,1
CAIN 1,11 ;TAB?
JRST Q2+1
JRST RESET
CLIST: SKIPA 2,[440700,,[ASCIZ 7 RD:*;+-/^NLF =QC?7]]
Q1: MOVE 2,[440700,,[ASCIZ/ IGNORED/]]
Q3: ILDB 1,2
JUMPE 1,RESET
.IOT 2,1
JRST .-3
LOAD: MOVE B,M1
MOVE C,M2
JRST LOOP
POWER: MOVEI Z,-1(C)
MOVE A,M2
SETZ B,
MOVE C,A
POW1: IMUL B,A
MUL C,A
ADD B,C
MOVE C,D
SOJG Z,POW1
JRST STM2
DIVIDE: MOVE A,C
MOVE B,M1
MOVE D,M2
IDIV B,A
DIV C,A
JRST STM2
TIMES: IMUL B,M2
MOVE A,C
IMUL A,M1
MUL C,M2
ADD B,C
ADD B,A
TLZ B,400000
MOVEM D,M2
MOVEM B,M1
JRST ZBC
MINUS: MOVNS C
ADD C,[SETZ]
AOS B
MOVNS B
PLUS: ADD C,M2
ADD B,M1
TLZE C,400000
AOS B
STM2: PUSHJ P,STM
JRST ZBC
LARGE: MOVE B,L1'
MOVE C,L2'
JRST STM2
STM: MOVEM B,M1'
MOVEM C,M2'
POPJ P,
EQUAL: MOVE A,M1
MOVE B,M2
PUSHJ P,SPRAB
JRST RESET
FACTOR: SKIPN C
SKIPE B
PUSHJ P,STM
MOVE D,M1
MOVE DV,M2
TEST2: JUMPN D,.+3
CAIG DV,3
JRST SPRIME
TRNE DV,1
JRST ODD
ASHC D,-1
MOVEI B,2
PRB: SETZM A
PUSHJ P,SPRAB
JRST TEST2
ODD: MOVE A,D
MOVE C,DV
IDIVI A,3
DIVI B,3
JUMPN C,NO3
MOVE D,A
MOVE DV,B
MOVEI B,3
JRST PRB
NO3: MOVE C,D
MOVE D,DV
MOVEI DV,5
HRRI INCR,4
JRST RETEST
FOUND: MOVE D,A
SETZM A
MOVE B,DV
PUSHJ P,SPRAB
MOVE C,Z
JRST RETEST
SPRIME: MOVE C,D
MOVE D,DV
PRIME: MOVEM C,L1
MOVEM D,L2
MOVE A,C
MOVE B,D
PUSHJ P,SPRAB
JRST RESET
SPRAB: PUSHJ P,SPACE
PRAB: MOVE C,B
IDIVI A,10.
DIVI B,10.
HRLM C,(P)
SKIPN B
SKIPE A
PUSHJ P,PRAB
HLRZ A,(P)
ADDI A,"0
JRST TYO
SPACE: PUSH P,A
MOVEI A,40
PUSHJ P,TYO
POP P,A
POPJ P,
HUH: MOVEI A,"?
PUSHJ P,TYO
JRST LOOP
PROMPT: PUSHJ P,CR
MOVEI A,"#
PUSHJ P,TYO
CR: MOVEI A,15
PUSHJ P,TYO
MOVEI A,12
TYO: .IOT TYOC,A
POPJ P,
TYI: .IOT TYIC,A
POPJ P,
PDL: BLOCK PDLL+1
VARIABLES
CONSTANTS
END G0