2018-05-27 05:03:45 +00:00
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; Entropy
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; by Dave McKellar of Toronto
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; Two-line BASIC program
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; Found on Beagle Brother's Apple Mechanic Disk
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; Converted to 6502 Assembly by Vince Weaver
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; 24001 ROT=0:FOR I=1 TO 15: READ A,B: POKE A,B: NEXT: DATA
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; 232,252,233,29,7676,1,7678,4,7679,0,7680,18,7681,63,
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; 7682,36,7683,36,7684,45,7685,45,7686,54,7687,54,7688,63,
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; 7689,0
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; 24002 FOR I=1 TO 99: HGR2: FOR E=.08 TO .15 STEP .01:
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; FOR Y=4 to 189 STEP 6: FOR X=4 to 278 STEP 6:
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; SCALE=(RND(1)<E)*RND(1)*E*20+1: XDRAW 1 AT X,Y:
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; NEXT: NEXT: NEXT
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2018-05-28 04:02:37 +00:00
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; Optimization
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; 144 bytes: first working version (including DOS33 4-byte size/addr)
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2018-05-27 22:45:07 +00:00
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;BLT=BCC, BGE=BCS
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2018-05-27 05:03:45 +00:00
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; zero page locations
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HGR_SHAPE = $1A
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2018-05-27 22:45:07 +00:00
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TEMP1_EXP = $93
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TEMP1_HO = $94
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TEMP1_MOH = $95
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TEMP1_MO = $96
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TEMP1_LO = $97
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FAC_EXP = $9D
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FAC_HO = $9E
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FAC_MOH = $9F
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FAC_MO = $A0
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FAC_LO = $A1
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FAC_SGN = $A2
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RND_EXP = $C9
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RND_HO = $CA
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RND_MOH = $CB
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RND_MO = $CC
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RND_LO = $CD
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RND_SGN = $CE
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2018-05-27 05:03:45 +00:00
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HGR_SCALE = $E7
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HGR_ROTATION = $F9
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2018-05-27 22:45:07 +00:00
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EPOS = $FC
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2018-05-27 05:03:45 +00:00
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XPOS = $FD
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XPOSH = $FE
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YPOS = $FF
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; ROM calls
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2018-05-27 22:45:07 +00:00
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SNGFLT = $E301
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CONINT = $E6FB
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FMULT = $E97F
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2018-05-28 04:02:37 +00:00
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MUL10 = $EA39
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DIV10 = $EA55
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MOVAF = $EB63
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FLOAT = $EB93
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2018-05-27 22:45:07 +00:00
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RND = $EFAE
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2018-05-27 05:03:45 +00:00
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HGR2 = $F3D8
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HPOSN = $F411
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XDRAW0 = $F65D
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2018-05-27 22:45:07 +00:00
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; ROM constants
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TEN = $EA50
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2018-05-27 05:03:45 +00:00
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entropy:
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loop:
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jsr HGR2 ; HGR2
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2018-05-27 22:45:07 +00:00
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lda #8
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sta EPOS
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2018-05-27 05:03:45 +00:00
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eloop: ; FOR E=.08 TO .15 STEP .01:
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2018-05-27 22:45:07 +00:00
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; .08 .09 .10 .11 .12 .13 .14
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; 0 1 2 3 4 5 6
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; EINT 8 9 10 11 12 13 14
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; E*20 160 180 200 220 240 260 280
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; 1.6 1.8 2.0 2.2 2.4 2.6 2.8
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2018-05-28 04:02:37 +00:00
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; 1 1 2 2 2 2 2
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; E*25 200 225 250 275 300 325 350
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; 2 2 2 2 3 3 3
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; E*16 128 144 160 176 192 218 234
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; 8 is E*100
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; E*100/5 = 20
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; E*80/4 = 20
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; 6.4 7.2 8.0 8.8 9.6 10.4 11.2
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; E*160/8 = 20
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; 12.8 14.4 16.0 17.6 19.2
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2018-05-27 05:03:45 +00:00
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lda #4
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sta YPOS
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yloop: ; FOR Y=4 to 189 STEP 6
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lda #4
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sta XPOS
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lda #0
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sta XPOSH
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xloop: ; FOR X=4 to 278 STEP 6
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; SCALE=(RND(1)<E)*RND(1)*E*20+1
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2018-05-27 22:45:07 +00:00
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;
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; Equivalent to IF RND(1)<E THEN SCALE=RND(1)*E*20+1
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; ELSE SCALE=1
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2018-05-27 15:22:38 +00:00
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; E=.08 80% of time less, so 0 + (0 to .08)*20 = 0 to 1.6
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; 80% of time 1 to 2.6, 20% of time 2 to 3.6
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; E=.15 65% 0+(0 to .15)*20 = 0 to 3
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; 65% 1 to 4, 45% 2 to 5
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2018-05-27 22:45:07 +00:00
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; Note the Apple II generates a seed based on keypresses
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; but by default RND is never seeded from there.
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; Someone actually wrote an entire academic paper complaining about
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; this
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;
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; J.W. Aldridge. "Cautions regarding random number generation
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; on the Apple II", Behavior Research Methods, Instruments,
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; & Computers, 1987, 19 (4), 397-399.
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2018-05-28 04:02:37 +00:00
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; put random value in FAC
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ldx #1 ; RND(1), Force 1
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jsr RND+6 ; we skip passing the argument
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; in FAC as that would be a pain
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2018-05-27 22:45:07 +00:00
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; Compare to E
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2018-05-28 04:02:37 +00:00
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; ldy #>TEN
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; lda #<TEN
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jsr MUL10
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jsr MUL10
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2018-05-27 22:45:07 +00:00
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jsr CONINT
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2018-05-28 04:02:37 +00:00
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debug:
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2018-05-27 22:45:07 +00:00
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; X is now RND(1)*100
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cpx EPOS
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2018-05-28 04:02:37 +00:00
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bcc less ; branch if less than EPOS
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2018-05-27 22:45:07 +00:00
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more:
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2018-05-28 04:02:37 +00:00
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lda #1 ; the boring case
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jmp done
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less:
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; SCALE=RND(1)*E*20+1
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; EPOS is E*100, so RND(1)*(EPOS/10)*2+1
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; is EPOS/4 close enough?
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; put random value in FAC
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ldx #1 ; RND(1), Force 1
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jsr RND+6 ; we skip passing the argument
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; in FAC as that would be a pain
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lda EPOS
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jsr FLOAT ; convert value in A to float in FAC
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; jsr MOVAF ; mov FAC into ARG
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jsr DIV10 ; FAC=FAC/10
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ldy #>RND_EXP
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lda #<RND_EXP
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2018-05-27 22:45:07 +00:00
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2018-05-28 04:02:37 +00:00
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jsr FMULT ; multiply FAC by (Y,A)
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2018-05-27 15:22:38 +00:00
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2018-05-28 04:02:37 +00:00
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inc FAC_EXP ; multiply by 2
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jsr CONINT ; convert to int (in X)
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inx
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txa ; move to A
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; lsr
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; clc
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; adc #1
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done:
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sta HGR_SCALE
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2018-05-27 05:03:45 +00:00
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ldy XPOSH
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ldx XPOS
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lda YPOS
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jsr HPOSN ; X= (y,x) Y=(a)
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ldx #<shape_table
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ldy #>shape_table
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lda #0 ; ROT=0
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jsr XDRAW0 ; XDRAW 1 AT X,Y
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; NEXT X
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lda XPOS
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clc
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adc #6
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sta XPOS
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lda #0
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adc XPOSH
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sta XPOSH
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beq xloop
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lda XPOS
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cmp #22
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2018-05-27 05:06:06 +00:00
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bcc xloop
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2018-05-27 05:03:45 +00:00
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nexty:
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; NEXT Y
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lda YPOS
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clc
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adc #6
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sta YPOS
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cmp #189
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2018-05-27 05:06:06 +00:00
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bcc yloop
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2018-05-27 05:03:45 +00:00
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; NEXT E
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2018-05-27 22:45:07 +00:00
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; clc
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; lda EPOS
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; adc #16
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; sta EPOS
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; cmp #240
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inc EPOS
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lda EPOS
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cmp #15
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bcc eloop
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2018-05-27 05:03:45 +00:00
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jmp loop
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shape_table:
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; .byte 1,0 ; 1 shape
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; .byte 4,0 ; offset at 4 bytes
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.byte 18,63,36,36,45,45,54,54,63,0 ; data
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