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@ -1,36 +1,54 @@
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( mandelbrot.tal ) |
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( ) |
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( by alderwick and d_m ) |
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%WIDTH { #02a0 } |
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%HEIGHT { #0200 } |
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%XMIN { #de69 } ( -8601 ) |
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%XMAX { #0b33 } ( 2867 ) |
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%YMIN { #ecc7 } ( -4915 ) |
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%YMAX { #1333 } ( 4915 ) |
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( ) |
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( uses 4.12 fixed point arithmetic. ) |
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( SCALE LOGICAL SCREENSIZE ) |
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( #0001 21x16 42x32 ) |
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( #0002 42x32 84x64 ) |
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( #0004 84x64 168x128 ) |
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( #0008 168x128 336x256 ) |
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( #0010 336x256 672x512 ) |
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( #0020 672x512 1344x1024 ) |
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%SCALE { #0009 } ( 32 ) |
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%WIDTH { #0015 } ( 21 ) |
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%HEIGHT { #0010 } ( 16 ) |
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%XMIN { #de69 } ( -8601 => -8601/4096 => -2.100 ) |
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%XMAX { #0b33 } ( 2867 => 2867/4096 => 0.700 ) |
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%YMIN { #ecc7 } ( -4915 => -4915/4096 => -1.200 ) |
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%YMAX { #1333 } ( 4915 => 4915/4096 => 1.200 ) |
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|00 @System &vector $2 &wst $1 &rst $1 &eaddr $2 &ecode $1 &pad $1 &r $2 &g $2 &b $2 &debug $1 &halt $1 |
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|20 @Screen &vector $2 &width $2 &height $2 &auto $1 &pad $1 &x $2 &y $2 &addr $2 &pixel $1 &sprite $1 |
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|0100 ( -> ) |
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( theme ) |
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#0f0f .System/r DEO2 |
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( set colors ) |
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#00ff .System/r DEO2 |
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#0ff0 .System/g DEO2 |
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#00ff .System/b DEO2 |
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#0f0f .System/b DEO2 |
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( size ) |
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WIDTH .Screen/width DEO2 |
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HEIGHT .Screen/height DEO2 |
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( set window size ) |
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width #10 SFT2 .Screen/width DEO2 |
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height #10 SFT2 .Screen/height DEO2 |
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( run ) |
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draw-mandel |
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BRK |
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draw-mandel BRK |
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( logical width ) |
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@width ( -> w* ) |
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WIDTH SCALE MUL2 JMP2r |
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( logical height ) |
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@height ( -> h* ) |
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HEIGHT SCALE MUL2 JMP2r |
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( draw the mandelbrot set using 4.12 fixed point numbers ) |
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@draw-mandel ( -> ) |
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XMAX XMIN SUB2 WIDTH DIV2 ,&dx STR2 ( ; &dx<-{xmax-min}/width ) |
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YMAX YMIN SUB2 HEIGHT DIV2 ,&dy STR2 ( ; &dy<-{ymax-ymin}/height ) |
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XMAX XMIN SUB2 width DIV2 ,&dx STR2 ( ; &dx<-{xmax-min}/width ) |
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YMAX YMIN SUB2 height DIV2 ,&dy STR2 ( ; &dy<-{ymax-ymin}/height ) |
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[ LIT2 01 -Screen/auto ] DEO ( ; auto<-1 ) |
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LIT2r 8000 ( [8000] ) |
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YMAX YMIN ( ymax* ymin* [8000] ) |
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@ -38,21 +56,41 @@
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XMAX XMIN ( ymax* y* xmax* xmin* [8000] ) |
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&xloop ( ymax* y* xmax* x* [8000] ) |
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ROT2k evaluate ( ymax* y* xmax* x* xmax* count^ [8000] ) |
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.Screen/pixel DEO POP2 ( ymax* y* xmax* x* [8000] ) |
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draw-px POP2 ( ymax* y* xmax* x* [8000] ) |
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[ LIT2 &dx $2 ] ADD2 ( ymax* y* xmax* x+dx* [8000] ) |
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OVR2 STH2kr ADD2 ( ymax* y* xmax* x+dx* 8000+xmax* [8000] ) |
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OVR2 STH2kr ADD2 ( ymax* y* xmax* x+dx* 8000+xmax* 8000+x+dx* [8000] ) |
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GTH2 ?&xloop ( ymax* y* xmax* x+dx* [8000] ) |
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POP2 POP2 ( ymax* y* [8000] ) |
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#0000 .Screen/x DEO2 ( ymax* y* [8000] ; sc/x<-0 ) |
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.Screen/y DEI2k ( ymax* y* d^ sy* [8000] ) |
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INC2 ROT DEO2 ( ymax* y* [8000] ; sc/y<-sy+1 ) |
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.Screen/y ;inc2 adjust ( ymax* y* [8000] ; sc/y<-sy+1 ) |
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[ LIT2 &dy $2 ] ADD2 ( ymax* y+dy* [8000] ) |
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OVR2 STH2kr ADD2 ( ymax* y+dy* 8000+ymax* [8000] ) |
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OVR2 STH2kr ADD2 ( ymax* y+dy* 8000+ymax* 8000+y+dy* [8000] ) |
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GTH2 ?&yloop ( ymax* y+dy* [8000] ) |
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POP2 POP2 POP2r JMP2r ( ) |
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( dithering pattern for 2x2 pixels: ) |
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( ) |
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( |o o| -> |x o| -> |x o| -> |x x| -> |x x| ) |
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( |o o| -> |o o| -> |o x| -> |o x| -> |x x| ) |
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( ) |
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( |[p+3]/4 [px+1]/4| ) |
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( |[p+0]/4 [px+2]/4| ) |
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@draw-px ( px^ -> ) |
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INCk INCk INC ( p+0 p+1 p+3 ) |
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draw-quad draw-quad ( p+0 ; draw NW, NE ) |
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.Screen/y ;inc1 adjust ( ; y<-y+1 ) |
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.Screen/x ;sub2 adjust ( ; x<-x-2 ) |
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INCk INC SWP ( p+2 p+0 ) |
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draw-quad draw-quad ( ; draw SW, SE ) |
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.Screen/y ;sub1 !adjust ( ; y<-y-1 ) |
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( draw one quadrant of a 2x2 area ) |
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@draw-quad ( p^ -> ) |
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#02 SFT .Screen/pixel DEO JMP2r ( ; pixel<-p/4 ) |
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( evaluate the mandelbrot function at one point ) |
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@evaluate ( x* y* -> count^ ) |
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#0000 DUP2 ,&x1 STR2 ( x* y* ; x1<-0 ) |
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DUP2 ,&y1 STR2 ( x* y* ; y1<-0 ) |
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@ -76,12 +114,15 @@
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&end ( x* y* [20 count^] ) |
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POP2 POP2 NIPr STHr JMP2r ( count^ ) |
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( is x a non-negative signed value? ) |
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@non-negative ( x* -> x* x>=0^ ) |
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DUP2 #8000 LTH2 JMP2r |
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( multiply two signed 4.12 fixed point numbers ) |
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@smul2 ( a* b* -> ab* ) |
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LIT2r 0001 DUP2 #8000 LTH2 ?&bpos negate SWPr ( a* |b|* [sign*] ) |
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&bpos SWP2 DUP2 #8000 LTH2 ?&apos negate SWPr ( |b|* |a|* [sign*] ) |
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&apos smul2-pos STHr ?&abpos negate ( ab* [scrap^] ) |
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&abpos POPr JMP2r ( ab* ) |
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LIT2r 0001 non-negative ?{ negate SWPr } ( a* |b|* [sign*] ) |
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SWP2 non-negative ?{ negate SWPr } ( |b|* |a|* [sign*] ) |
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smul2-pos STHr ?{ negate } POPr JMP2r ( ab* ) |
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( multiply two non-negative fixed point numbers ) |
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( ) |
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@ -94,8 +135,7 @@
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( z = a0b1 >> 4 ) |
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@smul2-pos ( a* b* -> ab* ) |
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aerate ROT2 aerate ( b0* b1* a0* a1* ) |
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STH2 ROT2k ( b0* b1* a0* b1* a0* b0* [a1*] ) |
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STH2 MUL2r ( b0* b1* a0* b1* a0* [a1b0*] ) |
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STH2 ROT2k STH2 MUL2r ( b0* b1* a0* b1* a0* [a1b0*] ) |
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MUL2 STH2 ADD2r ( b0* b1* a0* [a1b0+a0b1*] ) |
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NIP2 MUL2 #07ff min #40 SFT2 ( a0b0* [y+z*] ) |
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STH2r #04 SFT2 ADD2 ( x* [y+z*] ) |
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@ -103,22 +143,30 @@
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( equivalent to DUP2 smul2 but faster ) |
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@square ( a* -> aa* ) |
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DUP2 #8000 LTH2 ?&pos negate &pos |
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( >> ) |
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( equivalent to DUP2 smul2-pos but faster ) |
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@square-pos ( a* -> aa* ) |
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non-negative ?{ negate } ( |a|* ) |
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aerate ( 00 ahi^ 00 alo^ ) |
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OVR2 MUL2 #03 SFT2 SWP2 ( yz* ahi* ) |
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DUP2 MUL2 #07ff min #40 SFT2 ( x* yz* ) |
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ADD2 #7fff !min ( aa* ) |
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( update a device d^ given a function f: x* -> f[x]* ) |
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@adjust ( d^ f* -> ) |
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STH2 DEI2k STH2r JSR2 ROT DEO2 JMP2r |
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( return the minimum of two non-negative numbers. ) |
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@min ( x* y* ) |
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GTH2k [ JMP SWP2 ] NIP2 JMP2r |
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( convert each byte of a a short into a short ) |
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@aerate ( x* -> 00 xhi^ 00 xlo^ ) SWP #0000 ROT SWP2 SWP JMP2r |
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@aerate ( x* -> 00 xhi^ 00 xlo^ ) |
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SWP #0000 ROT SWP2 SWP JMP2r |
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( negate a fixed point number. doesn't work for #8000 ) |
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@negate ( x* -> -x* ) DUP2k EOR2 SWP2 SUB2 JMP2r |
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( return the minimum of two non-negative numbers. ) |
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@min ( x* y* ) GTH2k [ JMP SWP2 ] NIP2 JMP2r |
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@negate ( x* -> -x* ) |
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DUP2k EOR2 SWP2 SUB2 JMP2r |
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( useful arithmetic operations ) |
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@inc2 ( n* -> n+2* ) INC2 |
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@inc1 ( n* -> n+1* ) INC2 JMP2r |
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@sub1 ( n* -> n-1* ) #0001 SUB2 JMP2r |
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@sub2 ( n* -> n-2* ) #0002 SUB2 JMP2r |
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