uxn/projects/examples/demos/mandelbrot.tal

( mandelbrot )

%WIDTH { #02a0 }
%HEIGHT { #0200 }
%XMIN { #de69 } ( -8601 )
%XMAX { #0b33 } ( 2867 )
%YMIN { #ecc7 } ( -4915 )
%YMAX { #1333 } ( 4915 )

|00 @System &vector $2 &wst $1 &rst $1 &eaddr $2 &ecode $1 &pad $1 &r $2 &g $2 &b $2 &debug $1 &halt $1
|20 @Screen &vector $2 &width $2 &height $2 &auto $1 &pad $1 &x $2 &y $2 &addr $2 &pixel $1 &sprite $1

|0100 ( -> )

	( theme )
	#0f0f .System/r DEO2
	#0ff0 .System/g DEO2
	#00ff .System/b DEO2

	WIDTH .Screen/width DEO2 ( 640 )
	HEIGHT .Screen/height DEO2 ( 480 )

	draw-mandel

BRK

@draw-mandel ( -- )

	XMAX XMIN SUB2 WIDTH DIV2 ;&dx STA2
	YMAX YMIN SUB2 HEIGHT DIV2 ;&dy STA2
	[ LIT2 01 -Screen/auto ] DEO
	YMAX YMIN
	&ver
		DUP2 ,&y STR2
		XMAX XMIN
		&hor
			DUP2 ,&x STR2
			#0000
				DUP2 ,&x1 STR2
				DUP2 ,&y1 STR2
				DUP2 ,&x2 STR2
				,&y2 STR2
			( pixel )
			#2000
			&loop
				[ LIT2 &x1 $2 ] [ LIT2 &y1 $2 ] smul2 DUP2 ADD2
					[ LIT2 &y $2 ] ADD2 ,&y1 STR2
				[ LIT2 &x2 $2 ] [ LIT2 &y2 $2 ] SUB2
					[ LIT2 &x $2 ] ADD2 ,&x1 STR2
				,&x1 LDR2 DUP2 smul2
					DUP2 ,&x2 STR2
				,&y1 LDR2 DUP2 smul2
					DUP2 ,&y2 STR2
				ADD2 #4000 GTH2 ?&end
				INC GTHk ?&loop
				&end
			NIP .Screen/pixel DEO
			( done. )
			[ LIT2 &dx $2 ] ADD2 OVR2 #8000 ADD2 OVR2 #8000 ADD2 SWP2 LTH2 ?&hor
		POP2 POP2
		#0000 .Screen/x DEO2
		.Screen/y DEI2k INC2 ROT DEO2
		[ LIT2 &dy $2 ] ADD2 OVR2 #8000 ADD2 OVR2 #8000 ADD2 SWP2 LTH2 ?&ver
	POP2 POP2

JMP2r

@smul2 ( a* b* -- c* )
	LITr 00
	DUP2 #8000 LTH2 ?&b-positive
	INCr DUP2k EOR2 SWP2 SUB2
	&b-positive
	SWP2
	DUP2 #8000 LTH2 ?&a-positive
	INCr DUP2k EOR2 SWP2 SUB2
	&a-positive
	( ahi alo bhi blo )
	LITr 00 STH ( ahi alo bhi / blo* )
	OVRr STH ( ahi alo / blo* bhi* )
	OVRr STH ( ahi / blo* bhi* alo* )
	OVRr STH ( asign / blo* bhi* alo* ahi* )
	ROT2r MUL2kr STH2r ( asign ahi-bhi* / blo* alo* ahi* bhi* )
	ROT2r MUL2kr STH2r ( asign ahi-bhi* alo-bhi* / blo* ahi* bhi* alo* )
	NIP2r ( asign ahi-bhi* alo-bhi* / blo* ahi* alo* )
	ROT2r MUL2kr STH2r ( asign ahi-bhi* alo-bhi* alo-blo* / ahi* alo* blo* )
	ROT2r MUL2r STH2r POP2r ( asign ahi-bhi* alo-bhi* alo-blo* ahi-blo* )
	SWP2 ( asign ahi-bhi* alo-bhi* ahi-blo* alo-blo* )
	( 32-bit result is [ r3 r2 r1 r0 ] )
	POP #00 SWP ( asign ahi-bhi* alo-bhi* ahi-blo* r21* )
	( r21 max is 00fe, ahi-blo max is 7e81, max sum is 7f7f )
	ADD2 ( asign ahi-bhi* alo-bhi* r21'* )
	( r21' max is 7f7f, alo-bhi max is 7e81, max sum is fe00 )
	ADD2 ( asign ahi-bhi* r21"* )
	( The result we want is bits 27-12 due to the fixed point representation we use. )
	#04 SFT2 SWP2 #07ff min #40 SFT2 ADD2
	( saturate to +/-7.fff )
	#7fff min
	STHr #01 NEQ ?&result-positive
	DUP2k EOR2 SWP2 SUB2
	&result-positive
JMP2r

@min ( x* y* -- min* )
	GTH2k [ JMP SWP2 NIP2 ] JMP2r