rotozoom: have it working

This commit is contained in:
Vince Weaver 2021-01-07 13:26:31 -05:00
parent c6f548f251
commit b5cc84ac91
7 changed files with 736 additions and 130 deletions

View File

@ -4,7 +4,7 @@ DOS33 = ../../../utils/dos33fs-utils/dos33
TOKENIZE = ../../../utils/asoft_basic-utils/tokenize_asoft
LINKERSCRIPTS = ../../../linker_scripts
all: roto.dsk
all: roto.dsk make_sine_table
roto.dsk: HELLO ROTO
cp empty.dsk roto.dsk
@ -26,5 +26,13 @@ roto.o: roto.s rotozoom.s gr_plot.s gr_scrn.s
###
make_sine_table: make_sine_table.o
$(CC) -o make_sine_table make_sine_table.o -lm
make_sine_table.o: make_sine_table.c
$(CC) $(CFLAGS) -c make_sine_table.c
###
clean:
rm -f *~ *.o *.lst ROTO
rm -f *~ *.o *.lst ROTO make_sine_table

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@ -0,0 +1,10 @@
c00_scrn_offsets_l:
.byte <$c00,<$c80,<$d00,<$d80,<$e00,<$e80,<$f00,<$f80
.byte <$c28,<$ca8,<$d28,<$da8,<$e28,<$ea8,<$f28,<$fa8
.byte <$c50,<$cd0,<$d50,<$dd0,<$e50,<$ed0,<$f50,<$fd0
c00_scrn_offsets_h:
.byte >$c00,>$c80,>$d00,>$d80,>$e00,>$e80,>$f00,>$f80
.byte >$c28,>$ca8,>$d28,>$da8,>$e28,>$ea8,>$f28,>$fa8
.byte >$c50,>$cd0,>$d50,>$dd0,>$e50,>$ed0,>$f50,>$fd0

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@ -0,0 +1,30 @@
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#define PI 3.14159265358979323846264
int main(int argc, char **argv) {
int num=16,i;
short temp;
double s;
int sh,sl;
if (argc>1) {
num=atoi(argv[1]);
}
for(i=0;i<num;i++) {
s=sin(2.0*PI*(double)i/(double)num);
temp=s*256;
sl=temp&0xff;
sh=(temp>>8)&0xff;
printf("\t.byte $%02X,$%02X ; %lf\n",sh,sl,
s);
}
return 0;
}

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@ -0,0 +1,351 @@
; Fast mutiply
; Note for our purposes we only care about 8.8 x 8.8 fixed point
; with 8.8 result, which means we only care about the middle two bytes
; of the 32 bit result. So we disable generation of the high and low byte
; to save some cycles.
;
; The old routine took around 700 cycles for a 16bitx16bit=32bit mutiply
; This routine, at an expense of 2kB of looku tables, takes around 250
; If you reuse a term the next time this drops closer to 200
; This routine was described by Stephen Judd and found
; in The Fridge and in the C=Hacking magazine
; http://codebase64.org/doku.php?id=base:seriously_fast_multiplication
; The key thing to note is that
; (a+b)^2 (a-b)^2
; a*b = ------- - --------
; 4 4
; So if you have tables of the squares of 0..511 you can lookup and subtract
; instead of multiplying.
; Table generation: I:0..511
; square1_lo = <((I*I)/4)
; square1_hi = >((I*I)/4)
; square2_lo = <(((I-255)*(I-255))/4)
; square2_hi = >(((I-255)*(I-255))/4)
; Note: DOS3.3 starts at $9600
.ifndef square1_lo
square1_lo = $B400
square1_hi = $B600
square2_lo = $B800
square2_hi = $BA00
.endif
; for(i=0;i<512;i++) {
; square1_lo[i]=((i*i)/4)&0xff;
; square1_hi[i]=(((i*i)/4)>>8)&0xff;
; square2_lo[i]=( ((i-255)*(i-255))/4)&0xff;
; square2_hi[i]=(( ((i-255)*(i-255))/4)>>8)&0xff;
; }
init_multiply_tables:
; Build the add tables
ldx #$00
txa
.byte $c9 ; CMP #immediate - skip TYA and clear carry flag
lb1: tya
adc #$00 ; 0
ml1: sta square1_hi,x ; square1_hi[0]=0
tay ; y=0
cmp #$40 ; subtract 64 and update flags (c=0)
txa ; a=0
ror ; rotate
ml9: adc #$00 ; add 0
sta ml9+1 ; update add value
inx ; x=1
ml0: sta square1_lo,x ; square1_lo[0]=1
bne lb1 ; if not zero, loop
inc ml0+2 ; increment values
inc ml1+2 ; increment values
clc ; c=0
iny ; y=1
bne lb1 ; loop
; Build the subtract tables based on the existing one
ldx #$00
ldy #$ff
second_table:
lda square1_hi+1,x
sta square2_hi+$100,x
lda square1_hi,x
sta square2_hi,y
lda square1_lo+1,x
sta square2_lo+$100,x
lda square1_lo,x
sta square2_lo,y
dey
inx
bne second_table
rts
; Fast 16x16 bit unsigned multiplication, 32-bit result
; Input: NUM1H:NUM1L * NUM2H:NUM2L
; Result: RESULT3:RESULT2:RESULT1:RESULT0
;
; Does self-modifying code to hard-code NUM1H:NUM1L into the code
; carry=0: re-use previous NUM1H:NUM1L
; carry=1: reload NUM1H:NUM1L (58 cycles slower)
;
; clobbered: RESULT, X, A, C
; Allocation setup: T1,T2 and RESULT preferably on Zero-page.
;
; NUM1H (x_i), NUM1L (x_f)
; NUM2H (y_i), NUM2L (y_f)
; NUM1L * NUM2L = AAaa
; NUM1L * NUM2H = BBbb
; NUM1H * NUM2L = CCcc
; NUM1H * NUM2H = DDdd
;
; AAaa
; BBbb
; CCcc
; + DDdd
; ----------
; RESULT
;fixed_16x16_mul_unsigned:
multiply:
bcc num1_same_as_last_time ; 2nt/3
;============================
; Set up self-modifying code
; this changes the code to be hard-coded to multiply by NUM1H:NUM1L
;============================
lda NUM1L ; load the low byte ; 3
sta sm1a+1 ; 3
sta sm3a+1 ; 3
sta sm5a+1 ; 3
sta sm7a+1 ; 3
eor #$ff ; invert the bits for subtracting ; 2
sta sm2a+1 ; 3
sta sm4a+1 ; 3
sta sm6a+1 ; 3
sta sm8a+1 ; 3
lda NUM1H ; load the high byte ; 3
sta sm1b+1 ; 3
sta sm3b+1 ; 3
sta sm5b+1 ; 3
; sta sm7b+1 ;
eor #$ff ; invert the bits for subtractin ; 2
sta sm2b+1 ; 3
sta sm4b+1 ; 3
sta sm6b+1 ; 3
; sta sm8b+1 ;
;===========
; 52
num1_same_as_last_time:
;==========================
; Perform NUM1L * NUM2L = AAaa
;==========================
ldx NUM2L ; (low le) ; 3
sec ; 2
sm1a:
lda square1_lo,x ; 4
sm2a:
sbc square2_lo,x ; 4
; a is _aa
; sta RESULT+0 ;
sm3a:
lda square1_hi,x ; 4
sm4a:
sbc square2_hi,x ; 4
; a is _AA
sta _AA+1 ; 3
;===========
; 24
; Perform NUM1H * NUM2L = CCcc
sec ; 2
sm1b:
lda square1_lo,x ; 4
sm2b:
sbc square2_lo,x ; 4
; a is _cc
sta _cc+1 ; 3
sm3b:
lda square1_hi,x ; 4
sm4b:
sbc square2_hi,x ; 4
; a is _CC
sta _CC+1 ; 3
;===========
; 24
;==========================
; Perform NUM1L * NUM2H = BBbb
;==========================
ldx NUM2H ; 3
sec ; 2
sm5a:
lda square1_lo,x ; 4
sm6a:
sbc square2_lo,x ; 4
; a is _bb
sta _bb+1 ; 3
sm7a:
lda square1_hi,x ; 4
sm8a:
sbc square2_hi,x ; 4
; a is _BB
sta _BB+1 ; 3
;===========
; 27
;==========================
; Perform NUM1H * NUM2H = DDdd
;==========================
sec ; 2
sm5b:
lda square1_lo,x ; 4
sm6b:
sbc square2_lo,x ; 4
; a is _dd
sta _dd+1 ; 3
;sm7b:
; lda square1_hi,x ;
;sm8b:
; sbc square2_hi,x ;
; a = _DD
; sta RESULT+3 ;
;===========
; 13
;===========================================
; Add the separate multiplications together
;===========================================
clc ; 2
_AA:
lda #0 ; loading _AA ; 2
_bb:
adc #0 ; adding in _bb ; 2
sta RESULT+1 ; 3
;==========
; 9
; product[2]=_BB+_CC+c
_BB:
lda #0 ; loading _BB ; 2
_CC:
adc #0 ; adding in _CC ; 2
sta RESULT+2 ; 3
;===========
; 7
; product[3]=_DD+c
; bcc dd_no_carry1 ;
; inc RESULT+3 ;
clc ; 2
;=============
; 2
dd_no_carry1:
; product[1]=_AA+_bb+_cc
_cc:
lda #0 ; load _cc ; 2
adc RESULT+1 ; 3
sta RESULT+1 ; 3
; product[2]=_BB+_CC+_dd+c
_dd:
lda #0 ; load _dd ; 2
adc RESULT+2 ; 3
sta RESULT+2 ; 3
;===========
; 16
; product[3]=_DD+c
; bcc dd_no_carry2 ;
; inc RESULT+3 ;
;=============
; 0
dd_no_carry2:
; *z_i=product[1];
; *z_f=product[0];
; rts ; 6
;=================
; Signed multiply
;=================
;multiply:
; jsr fixed_16x16_mul_unsigned ; 6
lda NUM1H ; x_i ; 3
;===========
; 12
bpl x_positive ;^3/2nt
sec ; 2
lda RESULT+2 ; 3
sbc NUM2L ; 3
sta RESULT+2 ; 3
; lda RESULT+3 ;
; sbc NUM2H ;
; sta RESULT+3 ;
;============
; 10
x_positive:
lda NUM2H ; y_i ; 3
;============
; ; 6
bpl y_positive ;^3/2nt
sec ; 2
lda RESULT+2 ; 3
sbc NUM1L ; 3
sta RESULT+2 ; 3
; lda RESULT+3 ;
; sbc NUM1H ;
; sta RESULT+3 ;
;===========
; 10
y_positive:
ldx RESULT+2 ; *z_i=product[2]; ; 3
lda RESULT+1 ; *z_f=product[1]; ; 3
rts ; 6
;==========
; 12

View File

@ -24,6 +24,12 @@
jsr clear_screens
;===================================
; init the multiply tables
;===================================
jsr init_multiply_tables
;======================
; show the title screen
;======================
@ -32,22 +38,7 @@
title_screen:
;===========================
; Clear both bottoms
jsr clear_bottoms
;=============================
; Load title
lda #<(title_lzsa)
sta getsrc_smc+1
lda #>(title_lzsa)
sta getsrc_smc+2
lda #$0c
jsr decompress_lzsa2_fast
jsr load_background
;=================================
; copy to both pages
@ -61,6 +52,11 @@ title_screen:
lda #0
sta ANGLE
sta SCALE_F
sta FRAMEL
lda #1
sta SCALE_I
main_loop:
@ -69,19 +65,103 @@ main_loop:
jsr page_flip
wait_for_keypress:
lda KEYPRESS
bpl wait_for_keypress
; lda KEYPRESS
; bpl wait_for_keypress
; bit KEYRESET
bit KEYRESET
inc ANGLE
clc
lda FRAMEL
adc direction
sta FRAMEL
cmp #$f8
beq back_at_zero
cmp #33
beq at_far_end
bne done_reverse
back_at_zero:
inc which_image
lda which_image
cmp #3
bne refresh_image
lda #0
sta which_image
refresh_image:
jsr load_background
at_far_end:
; reverse direction
lda direction
eor #$ff
clc
adc #1
sta direction
lda scaleaddl
eor #$ff
clc
adc #1
sta scaleaddl
lda scaleaddh
eor #$ff
adc #0
sta scaleaddh
done_reverse:
clc
lda ANGLE
and #$f
adc direction
and #$1f
sta ANGLE
clc
lda SCALE_F
adc scaleaddl
sta SCALE_F
lda SCALE_I
adc scaleaddh
sta SCALE_I
jmp main_loop
direction: .byte $01
scaleaddl: .byte $10
scaleaddh: .byte $00
load_background:
;===========================
; Clear both bottoms
jsr clear_bottoms
;=============================
; Load title
lda which_image
asl
tay
lda images,Y
sta getsrc_smc+1
lda images+1,Y
sta getsrc_smc+2
lda #$0c
jsr decompress_lzsa2_fast
rts
which_image: .byte $00
;===============================================
; External modules
@ -93,13 +173,24 @@ wait_for_keypress:
.include "gr_fast_clear.s"
.include "gr_copy.s"
.include "decompress_fast_v2.s"
.include "gr_offsets.s"
.include "c00_scrn_offsets.s"
;.include "gr_plot.s"
;.include "gr_scrn.s"
.include "multiply_fast.s"
;===============================================
; Data
;===============================================
.include "tfv_title.inc"
images:
.word title_lzsa
.word shipup_lzsa
.word monkey_lzsa
title_lzsa: .incbin "title.lzsa"
shipup_lzsa: .incbin "tree1_shipup_n.lzsa"
monkey_lzsa: .incbin "monkey.lzsa"

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@ -4,7 +4,14 @@
; $6BD76=441,718=2.26fps initial code with external plot and scrn
; $62776=403,318=2.48fps inline plot
; $597b6=366,518=2.73fps inline scrn
; $45496=324,758=3.08fps move plot line calc outside of inner loop
; $4F496=324,758=3.08fps move plot line calc outside of inner loop
; $49d16=302,358=3.31fps do color*17 ourselves
; $4645e=287,838=3.47fps move XX into X
; $3ef7e=257,918=3.87fps optimize plot
; $3c9fe=248,318=4.03fps optimize scrn
; $39e3e=237,118=4.22fps add scrn address lookup table
; $39fdf=237,535 add two scale multiplies
; $39e17=237,079=4.22fps change the init to also use multiply
CAL = $B0
CAH = $B1
@ -27,67 +34,118 @@ YSAH = $BF
rotozoom:
lda SCALE_I
sta NUM1H
lda SCALE_F
sta NUM1L
; ca = cos(theta)*scale;
; ca=fixed_sin[(theta+4)&0xf]
lda ANGLE ; 3
clc ; 2
adc #4 ; 2
and #$f ; 2
adc #8 ; 2
and #$1f ; 2
asl ; 2
tay ; 2
lda fixed_sin,Y ; load integer half ; 4
sta CAH ; 3
lda fixed_sin+1,Y ; load integer half ; 4
sta CAL ; 3
sta NUM2H ; 3
lda fixed_sin+1,Y ; load float half ; 4
sta NUM2L ; 3
;===========
; 27
sec
jsr multiply
stx CAH
sta CAL
; sa = sin(theta)*scale;
lda ANGLE ; 3
asl ; 2
tay ; 2
lda fixed_sin,Y ; load integer half ; 4
sta SAH ; 3
sta NUM2H ; 3
lda fixed_sin+1,Y ; load integer half ; 4
sta SAL ; 3
sta NUM2L ; 3
;==========
; 21
clc
jsr multiply
stx SAH
sta SAL
; cca = -20*ca;
lda #-20
sta NUM1H
lda #0
sta NUM1L
lda CAL
sta NUM2L
lda CAH
sta NUM2H
sec
jsr multiply
stx CCAH
sta CCAL
; csa = -20*sa;
lda #0 ; 2
sta CCAL ; 3
sta CCAH ; 3
sta CSAL ; 3
sta CSAH ; 3
lda SAL
sta NUM2L
lda SAH
sta NUM2H
clc
jsr multiply
stx CSAH
sta CSAL
; lda #0 ; 2
; sta CCAL ; 3
; sta CCAH ; 3
; sta CSAL ; 3
; sta CSAH ; 3
;===========
; 14
ldx #20 ; 2
mul20_loop:
sec ; 2
lda CCAL ; 3
sbc CAL ; 3
sta CCAL ; 3
lda CCAH ; 3
sbc CAH ; 3
sta CCAH ; 3
; ldx #20 ; 2
;mul20_loop:
; sec ; 2
; lda CCAL ; 3
; sbc CAL ; 3
; sta CCAL ; 3
; lda CCAH ; 3
; sbc CAH ; 3
; sta CCAH ; 3
;===========
; 20
sec ; 2
lda CSAL ; 3
sbc SAL ; 3
sta CSAL ; 3
lda CSAH ; 3
sbc SAH ; 3
sta CSAH ; 3
; sec ; 2
; lda CSAL ; 3
; sbc SAL ; 3
; sta CSAL ; 3
; lda CSAH ; 3
; sbc SAH ; 3
; sta CSAH ; 3
;===========
; 20
dex ; 2
bne mul20_loop ;2nt/3
; dex ; 2
; bne mul20_loop ;2nt/3
;===================
; total=2+(45*20)-1
@ -146,7 +204,17 @@ rotozoom_yloop:
; setup self-modifying code for plot
lda YY ; 3
and #$fe ; make even ; 2
lsr ; get low bit in carry ; 2
bcc smc_even ; 2nt/3
smc_odd:
ldy #$2c ; bit ; 2
jmp smc_write ; 3
smc_even:
ldy #$4c ; jmp ; 2
smc_write:
sty rplot3_smc ; 4
asl ; now even ; 2
tay ; 2
lda gr_offsets,Y ; lookup low-res memory address ; 4
@ -160,55 +228,69 @@ rotozoom_yloop:
sta rplot2_smc+2 ; 4
; for(xx=0;xx<40;xx++) {
lda #0 ; 2
sta XX ; 3
ldx #0 ; 2
rotozoom_xloop:
;==========================
; note: every cycle saved below here
; saves 1600 cycles
;==========================
; if ((xp<0) || (xp>39)) color=0;
; else if ((yp<0) || (yp>39)) color=0;
; else color=scrn_page(xp,yp,PAGE2);
lda #0 ; 2
; we know it's never going to go *that* far out of bounds
; so we could avoid the Y check by just having "0"
; on the edges of the screen? Tricky due to Apple II
; interlacing
ldx XPH ; 3
bmi rotozoom_set_color ; 2nt/3
cpx #40 ; 2
bcs rotozoom_set_color ; 2nt/3
lda #0 ; default color ; 2
ldy XPH ; 3
bmi rplot ; 2nt/3
cpy #40 ; 2
bcs rplot ; 2nt/3
ldy YPH ; 3
bmi rplot ; 2nt/3
cpy #40 ; 2
bcs rplot ; 2nt/3
ldx YPH ; 3
bmi rotozoom_set_color ; 2nt/3
cpx #40 ; 2
bcs rotozoom_set_color ; 2nt/3
; scrn(xp,yp)
;==================================================
lda YPH ; 3
; scrn(xp,yp)
and #$fe ; make even ; 2
tya ; YPH ; 2
lsr ; divide to get index, also low bit in carry ; 2
tay ; 2
lda gr_offsets,Y ; lookup low-res memory address ; 4
clc ; 2
adc XPH ; 3
sta BASL ; 3
; TODO: put these in zero page?
; also we can share low bytes with other lookup
lda gr_offsets+1,Y ; 4
adc #$8 ; assume reading from $c0 ; 3
lda c00_scrn_offsets_l,Y ; lookup low-res memory address ; 4
sta BASL ; 3
lda c00_scrn_offsets_h,Y ; 4
sta BASH ; 3
ldy #0 ; 2
; carry was set a bit before to low bit of YPH
; hopefully nothing has cleared it
lda YPH ; 3
lsr ; 2
bcs rscrn_adjust_even ;2nt/3t
rscrn_adjust_odd:
lda (BASL),Y ; top/bottom color ; 5+
jmp rscrn_done ; 3
bcs rscrn_adjust_odd ; 3
rscrn_adjust_even:
ldy XPH ; 3
; want bottom
lda (BASL),Y ; top/bottom color ; 5+
and #$f ; 2
jmp rscrn_done ; 3
rscrn_adjust_odd:
ldy XPH ; 3
; want top
lda (BASL),Y ; top/bottom color ; 5+
lsr ; 2
@ -218,49 +300,48 @@ rscrn_adjust_even:
rscrn_done:
and #$f ; 2
;=============================================
rotozoom_set_color:
; color_equals(color);
jsr SETCOL ; 6+??
; want same color in top and bottom nibbles
sta TEMP ; 3
asl ; 2
asl ; 2
asl ; 2
asl ; 2
ora TEMP ; 3
;==========
; 14
;=================================================
; plot(xx,yy);
rplot:
lda YY ; 3
; plot(xx,yy); (color is in A)
lsr ; shift bottom bit into carry ; 2
; smc based on if Y is odd or even
rplot3_smc:
jmp rplot_even ; 3
bcc rplot_even ; 2nt/3
rplot_odd:
ldx #$f0 ; 2
bcs rplot_c_done ;bra ; 3
and #$f0 ; 2
sta COLOR ; 3
lda #$0f ; 2
bne rplot1_smc ; bra ; 3
rplot_even:
ldx #$0f ; 2
rplot_c_done:
stx MASK ; 3
rplot_write:
ldy XX ; 3
lda MASK ; 3
eor #$ff ; 2
and #$0f ; 2
sta COLOR ; 3
lda #$f0 ; 2
rplot1_smc:
and $400,Y ; 4+
sta COLOR_MASK ; 3
lda COLOR ; 3
and MASK ; 3
ora COLOR_MASK ; 3
and $400,X ; 4
ora COLOR ; 3
rplot2_smc:
sta $400,Y ; 5+
sta $400,X ; 5
;=======================
@ -287,9 +368,8 @@ rplot2_smc:
rotozoom_end_xloop:
inc XX ; 5
lda XX ; 3
cmp #40 ; 2
inx ; 2
cpx #40 ; 2
beq rotozoom_xloop_done ; 2nt/3
jmp rotozoom_xloop ; 3
rotozoom_xloop_done:
@ -331,20 +411,52 @@ done_rotozoom:
fixed_sin:
.byte $00,$00 ; 0.000000=00.00
.byte $00,$61 ; 0.382683=00.61
.byte $00,$b5 ; 0.707107=00.b5
.byte $00,$ec ; 0.923880=00.ec
.byte $01,$00 ; 1.000000=01.00
.byte $00,$ec ; 0.923880=00.ec
.byte $00,$b5 ; 0.707107=00.b5
.byte $00,$61 ; 0.382683=00.61
.byte $00,$00 ; 0.000000=00.00
.byte $ff,$9f ; -0.382683=ff.9f
.byte $ff,$4b ; -0.707107=ff.4b
.byte $ff,$14 ; -0.923880=ff.14
.byte $ff,$00 ; -1.000000=ff.00
.byte $ff,$14 ; -0.923880=ff.14
.byte $ff,$4b ; -0.707107=ff.4b
.byte $ff,$9f ; -0.382683=ff.9f
; .byte $00,$00 ; 0.000000=00.00
; .byte $00,$61 ; 0.382683=00.61
; .byte $00,$b5 ; 0.707107=00.b5
; .byte $00,$ec ; 0.923880=00.ec
; .byte $01,$00 ; 1.000000=01.00
; .byte $00,$ec ; 0.923880=00.ec
; .byte $00,$b5 ; 0.707107=00.b5
; .byte $00,$61 ; 0.382683=00.61
; .byte $00,$00 ; 0.000000=00.00
; .byte $ff,$9f ; -0.382683=ff.9f
; .byte $ff,$4b ; -0.707107=ff.4b
; .byte $ff,$14 ; -0.923880=ff.14
; .byte $ff,$00 ; -1.000000=ff.00
; .byte $ff,$14 ; -0.923880=ff.14
; .byte $ff,$4b ; -0.707107=ff.4b
; .byte $ff,$9f ; -0.382683=ff.9f
.byte $00,$00 ; 0.000000
.byte $00,$31 ; 0.195090
.byte $00,$61 ; 0.382683
.byte $00,$8E ; 0.555570
.byte $00,$B5 ; 0.707107
.byte $00,$D4 ; 0.831470
.byte $00,$EC ; 0.923880
.byte $00,$FB ; 0.980785
.byte $01,$00 ; 1.000000
.byte $00,$FB ; 0.980785
.byte $00,$EC ; 0.923880
.byte $00,$D4 ; 0.831470
.byte $00,$B5 ; 0.707107
.byte $00,$8E ; 0.555570
.byte $00,$61 ; 0.382683
.byte $00,$31 ; 0.195090
.byte $00,$00 ; 0.000000
.byte $FF,$CF ; -0.195090
.byte $FF,$9F ; -0.382683
.byte $FF,$72 ; -0.555570
.byte $FF,$4B ; -0.707107
.byte $FF,$2C ; -0.831470
.byte $FF,$14 ; -0.923880
.byte $FF,$05 ; -0.980785
.byte $FF,$00 ; -1.000000
.byte $FF,$05 ; -0.980785
.byte $FF,$14 ; -0.923880
.byte $FF,$2C ; -0.831470
.byte $FF,$4B ; -0.707107
.byte $FF,$72 ; -0.555570
.byte $FF,$9F ; -0.382683
.byte $FF,$CF ; -0.195090

View File

@ -30,6 +30,10 @@ SCREEN_Y = $62
ANGLE = $63
HORIZ_SCALE_I = $64
HORIZ_SCALE_F = $65
SCALE_I = $64
SCALE_F = $65
FACTOR_I = $66
FACTOR_F = $67
DX_I = $68