mirror of
https://github.com/byteworksinc/ORCALib.git
synced 2025-02-06 13:30:40 +00:00
This uses an approximation based on the Stirling series for large enough x (for which it is highly accurate). For smaller x, identities are used to express gamma(x) in terms of gamma(x+1) or gamma(1-x), ultimately letting the Stirling series approximation be used.
706 lines
7.9 KiB
Plaintext
706 lines
7.9 KiB
Plaintext
macro
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&l ph4 &n1
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&l anop
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aif "&n1"="*",.f
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lclc &c
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&c amid &n1,1,1
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aif "&c"="#",.d
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aif s:longa=1,.a
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rep #%00100000
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.a
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aif "&c"<>"{",.b
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&c amid &n1,l:&n1,1
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aif "&c"<>"}",.g
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&n1 amid &n1,2,l:&n1-2
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ldy #2
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lda (&n1),y
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pha
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lda (&n1)
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pha
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ago .e
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.b
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aif "&c"<>"[",.c
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ldy #2
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lda &n1,y
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pha
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lda &n1
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pha
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ago .e
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.c
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aif "&c"<>"<",.c1
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&n1 amid &n1,2,l:&n1-1
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pei &n1+2
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pei &n1
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ago .e
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.c1
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lda &n1+2
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pha
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lda &n1
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pha
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ago .e
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.d
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&n1 amid &n1,2,l:&n1-1
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pea +(&n1)|-16
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pea &n1
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ago .f
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.e
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aif s:longa=1,.f
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sep #%00100000
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.f
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mexit
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.g
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mnote "Missing closing '}'",16
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mend
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MACRO
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&lab csubroutine &parms,&work
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&lab anop
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aif c:&work,.a
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lclc &work
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&work setc 0
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.a
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gbla &totallen
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gbla &worklen
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&worklen seta &work
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&totallen seta 0
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aif c:&parms=0,.e
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lclc &len
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lclc &p
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lcla &i
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&i seta 1
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.b
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&p setc &parms(&i)
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&len amid &p,2,1
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aif "&len"=":",.c
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&len amid &p,1,2
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&p amid &p,4,l:&p-3
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ago .d
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.c
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&len amid &p,1,1
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&p amid &p,3,l:&p-2
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.d
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&p equ &totallen+4+&work
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&totallen seta &totallen+&len
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&i seta &i+1
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aif &i<=c:&parms,^b
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.e
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tsc
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aif &work=0,.f
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sec
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sbc #&work
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tcs
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.f
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phd
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tcd
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mend
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MACRO
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&lab creturn &r
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&lab anop
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lclc &len
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aif c:&r,.a
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lclc &r
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&r setc 0
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&len setc 0
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ago .h
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.a
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&len amid &r,2,1
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aif "&len"=":",.b
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&len amid &r,1,2
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&r amid &r,4,l:&r-3
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ago .c
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.b
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&len amid &r,1,1
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&r amid &r,3,l:&r-2
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.c
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aif &len<>2,.d
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ldy &r
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ago .h
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.d
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aif &len<>4,.e
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ldx &r+2
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ldy &r
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ago .h
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.e
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aif &len<>10,.g
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ldy #&r
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ldx #^&r
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ago .h
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.g
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mnote 'Not a valid return length',16
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mexit
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.h
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aif &totallen=0,.i
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lda &worklen+2
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sta &worklen+&totallen+2
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lda &worklen+1
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sta &worklen+&totallen+1
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.i
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pld
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tsc
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clc
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adc #&worklen+&totallen
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tcs
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aif &len=0,.j
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tya
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.j
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rtl
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mend
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macro
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&l cmp4 &n1,&n2
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lclb &yistwo
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&l ~setm
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~lda.h &n1
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~op.h eor,&n2
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bpl ~a&SYSCNT
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~lda.h &n2
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~op.h cmp,&n1
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bra ~b&SYSCNT
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~a&SYSCNT ~lda.h &n1
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~op.h cmp,&n2
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bne ~b&SYSCNT
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~lda &n1
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~op cmp,&n2
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~b&SYSCNT anop
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~restm
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mend
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macro
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&l ~lda &op
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lclc &c
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&c amid "&op",1,1
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aif "&c"<>"{",.b
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&c amid "&op",l:&op,1
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aif "&c"="}",.a
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mnote "Missing closing '}'",2
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&op setc &op}
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.a
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&op amid "&op",2,l:&op-2
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&op setc (&op)
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.b
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&l lda &op
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mend
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macro
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&l ~lda.h &op
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&l anop
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lclc &c
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&c amid "&op",1,1
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aif "&c"="[",.b
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aif "&c"<>"{",.d
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&c amid "&op",l:&op,1
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aif "&c"="}",.a
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mnote "Missing closing '}'",2
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&op setc &op}
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.a
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&op amid "&op",2,l:&op-2
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&op setc (&op)
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.b
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aif &yistwo,.c
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&yistwo setb 1
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ldy #2
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.c
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&op setc "&op,y"
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lda &op
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mexit
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.d
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aif "&c"<>"#",.e
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&op amid "&op",2,l:&op-1
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&op setc "#^&op"
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lda &op
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mexit
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.e
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lda 2+&op
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mend
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macro
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&l ~op &opc,&op
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lclc &c
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&c amid "&op",1,1
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aif "&c"<>"{",.b
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&c amid "&op",l:&op,1
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aif "&c"="}",.a
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mnote "Missing closing '}'",2
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&op setc &op}
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.a
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&op amid "&op",2,l:&op-2
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&op setc (&op)
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.b
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&l &opc &op
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mend
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macro
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&l ~op.h &opc,&op
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&l anop
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lclc &c
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&c amid "&op",1,1
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aif "&c"="[",.b
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aif "&c"<>"{",.d
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&c amid "&op",l:&op,1
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aif "&c"="}",.a
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mnote "Missing closing '}'",2
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&op setc &op}
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.a
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&op amid "&op",2,l:&op-2
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&op setc (&op)
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.b
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aif &yistwo,.c
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&yistwo setb 1
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ldy #2
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.c
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&op setc "&op,y"
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&opc &op
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mexit
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.d
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aif "&c"<>"#",.e
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&op amid "&op",2,l:&op-1
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&op setc "#^&op"
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&opc &op
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mexit
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.e
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&opc 2+&op
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mend
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macro
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&l ~restm
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&l anop
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aif (&~la+&~li)=2,.i
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sep #32*(.not.&~la)+16*(.not.&~li)
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aif &~la,.h
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longa off
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.h
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aif &~li,.i
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longi off
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.i
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mend
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macro
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&l ~setm
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&l anop
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aif c:&~la,.b
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gblb &~la
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gblb &~li
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.b
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&~la setb s:longa
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&~li setb s:longi
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aif s:longa.and.s:longi,.a
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rep #32*(.not.&~la)+16*(.not.&~li)
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longa on
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longi on
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.a
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mend
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macro
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&l inc4 &a
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&l ~setm
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inc &a
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bne ~&SYSCNT
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inc 2+&a
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~&SYSCNT ~restm
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mend
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macro
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&l sub4 &m1,&m2,&m3
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lclb &yistwo
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lclc &c
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&l ~setm
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aif c:&m3,.a
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&c amid "&m2",1,1
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aif "&c"<>"#",.a
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&c amid "&m1",1,1
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aif "&c"="{",.a
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aif "&c"="[",.a
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&c amid "&m2",2,l:&m2-1
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aif &c>=65536,.a
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sec
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~lda &m1
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~op sbc,&m2
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~sta &m1
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bcs ~&SYSCNT
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~op.h dec,&m1
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~&SYSCNT anop
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ago .c
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.a
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aif c:&m3,.b
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lclc &m3
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&m3 setc &m1
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.b
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sec
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~lda &m1
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~op sbc,&m2
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~sta &m3
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~lda.h &m1
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~op.h sbc,&m2
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~sta.h &m3
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.c
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~restm
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mend
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macro
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&l ~sta &op
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lclc &c
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&c amid "&op",1,1
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aif "&c"<>"{",.b
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&c amid "&op",l:&op,1
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aif "&c"="}",.a
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mnote "Missing closing '}'",2
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&op setc &op}
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.a
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&op amid "&op",2,l:&op-2
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&op setc (&op)
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.b
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&l sta &op
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mend
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macro
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&l ~sta.h &op
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&l anop
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lclc &c
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&c amid "&op",1,1
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aif "&c"="[",.b
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aif "&c"<>"{",.d
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&c amid "&op",l:&op,1
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aif "&c"="}",.a
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mnote "Missing closing '}'",2
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&op setc &op}
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.a
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&op amid "&op",2,l:&op-2
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&op setc (&op)
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.b
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aif &yistwo,.c
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&yistwo setb 1
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ldy #2
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.c
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&op setc "&op,y"
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sta &op
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mexit
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.d
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sta 2+&op
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mend
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macro
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&l cmpl &n1,&n2
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lclb &yistwo
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&l ~setm
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~lda.h &n1
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~op.h cmp,&n2
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bne ~a&SYSCNT
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~lda &n1
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~op cmp,&n2
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~a&SYSCNT anop
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~restm
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mend
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macro
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&l jmi &bp
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&l bpl *+5
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brl &bp
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mend
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macro
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&l jpl &bp
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&l bmi *+5
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brl &bp
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mend
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macro
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&l jeq &bp
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&l bne *+5
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brl &bp
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mend
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MACRO
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&LAB FCLASSS
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&LAB PEA $021C
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LDX #$090A
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JSL $E10000
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MEND
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MACRO
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&LAB FCLASSD
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&LAB PEA $011C
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LDX #$090A
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JSL $E10000
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|
MEND
|
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MACRO
|
|
&LAB FCLASSX
|
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&LAB PEA $001C
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LDX #$090A
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JSL $E10000
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MEND
|
|
MACRO
|
|
&LAB FX2S
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&LAB PEA $0210
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LDX #$090A
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JSL $E10000
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MEND
|
|
MACRO
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&LAB FX2D
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&LAB PEA $0110
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LDX #$090A
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JSL $E10000
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MEND
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MACRO
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&LAB FCMPX
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&LAB PEA $0008
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LDX #$090A
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JSL $E10000
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MEND
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MACRO
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|
&LAB FEXP2X
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&LAB PEA $000A
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LDX #$0B0A
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JSL $E10000
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|
MEND
|
|
MACRO
|
|
&LAB FEXP1X
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|
&LAB PEA $000C
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|
LDX #$0B0A
|
|
JSL $E10000
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|
MEND
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|
MACRO
|
|
&LAB FLN1X
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&LAB PEA $0004
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|
LDX #$0B0A
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JSL $E10000
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|
MEND
|
|
MACRO
|
|
&LAB FLOG2X
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|
&LAB PEA $0002
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|
LDX #$0B0A
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|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FLOGBX
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|
&LAB PEA $001A
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FX2I
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|
&LAB PEA $0410
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FTINTX
|
|
&LAB PEA $0016
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FRINTX
|
|
&LAB PEA $0014
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FXPWRY
|
|
&LAB PEA $0012
|
|
LDX #$0B0A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FREMX
|
|
&LAB PEA $000C
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FSCALBX
|
|
&LAB PEA $0018
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FSUBX
|
|
&LAB PEA $0002
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FGETENV
|
|
&LAB PEA $03
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FSETENV
|
|
&LAB PEA $01
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FX2C
|
|
&LAB PEA $0510
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FCPXX
|
|
&LAB PEA $0A
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FNEXTX
|
|
&LAB PEA $001E
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FX2X
|
|
&LAB PEA $0010
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FCPXD
|
|
&LAB PEA $010A
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FNEXTD
|
|
&LAB PEA $011E
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FD2X
|
|
&LAB PEA $010E
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FS2X
|
|
&LAB PEA $020E
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FNEXTS
|
|
&LAB PEA $021E
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FCPXS
|
|
&LAB PEA $020A
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FPROCENTRY
|
|
&LAB PEA $0017
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FPROCEXIT
|
|
&LAB PEA $0019
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FTESTXCP
|
|
&LAB PEA $001B
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FADDS
|
|
&LAB PEA $0200
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FSETXCP
|
|
&LAB PEA $0015
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FADDX
|
|
&LAB PEA $0000
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FADDI
|
|
&LAB PEA $0400
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FSUBI
|
|
&LAB PEA $0402
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FMULX
|
|
&LAB PEA $0004
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FSQRTX
|
|
&LAB PEA $0012
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FLNX
|
|
&LAB PEA $0000
|
|
LDX #$0B0A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&lab _SDivide
|
|
&lab ldx #$0A0B
|
|
jsl $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FMULI
|
|
&LAB PEA $0404
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FDIVI
|
|
&LAB PEA $0406
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FDIVX
|
|
&LAB PEA $0006
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FXPWRI
|
|
&LAB PEA $0010
|
|
LDX #$0B0A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FCMPS
|
|
&LAB PEA $0208
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FEXPX
|
|
&LAB PEA $0008
|
|
LDX #$0B0A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FCMPI
|
|
&LAB PEA $0408
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FSUBS
|
|
&LAB PEA $0202
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FSINX
|
|
&LAB PEA $001A
|
|
LDX #$0B0A
|
|
JSL $E10000
|
|
MEND
|
|
MACRO
|
|
&LAB FREMI
|
|
&LAB PEA $040C
|
|
LDX #$090A
|
|
JSL $E10000
|
|
MEND
|