Compare commits
| Author | SHA1 | Date | |
|---|---|---|---|
| 0631886466 | |||
| 97948dc814 | |||
| f10bb4fe18 |
11 changed files with 1336 additions and 2546 deletions
10
Makefile
10
Makefile
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@ -2,11 +2,8 @@
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all : mandel.xex
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mandel.xex : mandel.o mandel-core.o tables.o atari-xex.cfg
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ld65 -C ./atari-xex.cfg --mapfile mandel.map -o $@ mandel.o mandel-core.o tables.o atari.lib
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mandel.s : mandel.c mandel.h
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cc65 -o $@ mandel.c
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mandel.xex : mandel.o tables.o
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ld65 -C ./atari-asm-xex.cfg -o $@ $+
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%.o : %.s
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ca65 -o $@ $<
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@ -16,7 +13,6 @@ tables.s : tables.js
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clean :
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rm -f tables.s
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rm -f mandel.s
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rm -f *.o
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rm -f *.xex
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rm -f mandel.map
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@ -1,28 +0,0 @@
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FEATURES {
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STARTADDRESS: default = $2E00;
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}
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SYMBOLS {
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__STARTADDRESS__: type = export, value = %S;
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}
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MEMORY {
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ZP: file = "", define = yes, start = $0082, size = $007E;
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MAIN: file = %O, define = yes, start = %S, size = $4000 - %S;
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# Keep $4000-7fff clear for expanded RAM access window
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TABLES: file = %O, define = yes, start = $8000, size = $a000 - $8000;
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# Keep $a000-$bfff clear for BASIC cartridge
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}
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FILES {
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%O: format = atari;
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}
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FORMATS {
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atari: runad = start;
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}
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SEGMENTS {
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ZEROPAGE: load = ZP, type = zp, optional = yes;
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EXTZP: load = ZP, type = zp, optional = yes; # to enable modules to be able to link to C and assembler programs
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CODE: load = MAIN, type = rw, define = yes;
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RODATA: load = MAIN, type = ro optional = yes;
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DATA: load = MAIN, type = rw optional = yes;
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BSS: load = MAIN, type = bss, optional = yes, define = yes;
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TABLES: load = TABLES, type = ro, optional = yes, align = 256;
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}
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@ -1,69 +0,0 @@
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# Sample linker configuration for C programs using the Atari binary file support.
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# Use with: cl65 -tatari -Catari-xex.cfg prog.c -o prog.xex
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FEATURES {
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STARTADDRESS: default = $8000;
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}
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SYMBOLS {
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__SYSTEM_CHECK__: type = import; # force inclusion of "system check" load chunk
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__STACKSIZE__: type = weak, value = $0800; # 2k stack
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__STARTADDRESS__: type = export, value = %S;
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__RESERVED_MEMORY__: type = weak, value = $0000;
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__SYSCHKHDR__: type = export, value = 0; # Disable system check header
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__SYSCHKTRL__: type = export, value = 0; # Disable system check trailer
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__TABLESEG_START__: type = weak, value = $2E00 + $0300;
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__TABLESEG_SIZE__: type = weak, value = 6 * $100;
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__BANKSY_START__: type = weak, value = $4000;
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__BANKSY_SIZE__: type = weak, value = $4000;
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__FRAMEBUFFER_START__: type = weak, value = $A000;
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}
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MEMORY {
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# Note -- $80 and $81 (LOMEM) appear to be reserved in ZP.
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ZP: file = "", define = yes, start = $0082, size = $007E;
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# "system check" load chunk
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SYSCHKCHNK: file = %O, start = $2E00, size = $0300;
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# Note $a000-$bfff is against the BASIC cartridge, may require booting with OPTION.
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TABLES: file = %O, define = yes, start = __TABLESEG_START__, size = __TABLESEG_SIZE__;
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# We reserve $4000-7fff for the bank-switch window.
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# In theory we could keep data and code here that we only use on 48k/64k systems.
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BANKSWITCH: file = "", define = yes, start = __BANKSY_START__, size = __BANKSY_SIZE__;
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# "main program" load chunk
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MAIN: file = %O, define = yes, start = %S, size = __FRAMEBUFFER_START__ - __STACKSIZE__ - __RESERVED_MEMORY__ - %S;
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}
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FILES {
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%O: format = atari;
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}
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FORMATS {
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atari: runad = start,
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initad = SYSCHKCHNK: __SYSTEM_CHECK__;
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}
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SEGMENTS {
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ZEROPAGE: load = ZP, type = zp;
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EXTZP: load = ZP, type = zp, optional = yes;
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SYSCHK: load = SYSCHKCHNK, type = rw, define = yes, optional = yes;
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TABLES: load = TABLES, type = ro, optional = yes, align = 256;
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BANKSWICH: load = BANKSWITCH, type = ro, optional = yes;
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STARTUP: load = MAIN, type = ro, define = yes;
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LOWBSS: load = MAIN, type = rw, optional = yes; # not zero initialized
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LOWCODE: load = MAIN, type = ro, define = yes, optional = yes;
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ONCE: load = MAIN, type = ro, optional = yes;
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CODE: load = MAIN, type = ro, define = yes;
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RODATA: load = MAIN, type = ro;
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DATA: load = MAIN, type = rw;
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INIT: load = MAIN, type = rw, optional = yes;
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BSS: load = MAIN, type = bss, define = yes;
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}
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FEATURES {
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CONDES: type = constructor,
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label = __CONSTRUCTOR_TABLE__,
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count = __CONSTRUCTOR_COUNT__,
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segment = ONCE;
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CONDES: type = destructor,
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label = __DESTRUCTOR_TABLE__,
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count = __DESTRUCTOR_COUNT__,
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segment = RODATA;
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CONDES: type = interruptor,
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label = __INTERRUPTOR_TABLE__,
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count = __INTERRUPTOR_COUNT__,
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segment = RODATA,
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import = __CALLIRQ__;
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}
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124
bitmul.s
124
bitmul.s
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@ -1,124 +0,0 @@
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; the old 16-bit bit-and-shift multiplier
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; copied from old code, won't compile as-is
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; inner loop for imul16
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; bitnum < 8: 25 or 41 cycles
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; bitnum >= 8: 30 or 46 cycles
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.macro bitmul16 arg1, arg2, result, bitnum
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.local zero
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.local one
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.local next
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; does 16-bit adds
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; arg1 and arg2 are treated as unsigned
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; negative signed inputs must be flipped first
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; 7 cycles up to the branch
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; check if arg1 has 0 or 1 bit in this place
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; 5 cycles either way
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.if bitnum < 8
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lda arg1 ; 3 cyc
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and #(1 << (bitnum)) ; 2 cyc
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.else
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lda arg1 + 1 ; 3 cyc
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and #(1 << ((bitnum) - 8)) ; 2 cyc
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.endif
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bne one ; 2 cyc
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zero: ; 18 cyc, 23 cyc
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lsr result + 3 ; 5 cyc
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jmp next ; 3 cyc
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one: ; 32 cyc, 37 cyc
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; 16-bit add on the top bits
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clc ; 2 cyc
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lda result + 2 ; 3 cyc
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adc arg2 ; 3 cyc
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sta result + 2 ; 3 cyc
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lda result + 3 ; 3 cyc
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adc arg2 + 1 ; 3 cyc
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ror a ; 2 cyc - get a jump on the shift
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sta result + 3 ; 3 cyc
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next:
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ror result + 2 ; 5 cyc
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ror result + 1 ; 5 cyc
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.if bitnum >= 8
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; we can save 5 cycles * 8 bits = 40 cycles total by skipping this byte
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; when it's all uninitialized data
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ror result ; 5 cyc
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.endif
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.endmacro
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; 5 to 25 cycles
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.macro check_sign arg
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; Check sign bit and flip argument to postive,
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; keeping a count of sign bits in the X register.
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.local positive
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lda arg + 1 ; 3 cyc
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bpl positive ; 2 cyc
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neg16 arg ; 18 cyc
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inx ; 2 cyc
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positive:
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.endmacro
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; 518 - 828 cyc
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.macro imul16 dest, arg1, arg2
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copy16 FR0, arg1 ; 12 cyc
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copy16 FR1, arg2 ; 12 cyc
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jsr imul16_func ; 470-780 cyc
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copy32 dest, FR2 ; 24 cyc
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.endmacro
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.macro shift_round_16 arg, shift
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.repeat shift
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shl32 arg
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.endrepeat
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round16 arg
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.endmacro
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.macro imul16_round dest, arg1, arg2, shift
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copy16 FR0, arg1 ; 12 cyc
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copy16 FR1, arg2 ; 12 cyc
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jsr imul16_func ; 470-780 cyc
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shift_round_16 FR2, shift
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copy16 dest, FR2 + 2 ; 12 cyc
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.endmacro
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; min 470 cycles
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; max 780 cycles
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.proc imul16_func
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arg1 = FR0 ; 16-bit arg (clobbered)
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arg2 = FR1 ; 16-bit arg (clobbered)
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result = FR2 ; 32-bit result
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ldx #0 ; 2 cyc
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; counts the number of sign bits in X
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check_sign arg1 ; 5 to 25 cyc
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check_sign arg2 ; 5 to 25 cyc
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; zero out the 32-bit temp's top 16 bits
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lda #0 ; 2 cyc
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sta result + 2 ; 3 cyc
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sta result + 3 ; 3 cyc
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; the bottom two bytes will get cleared by the shifts
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; unrolled loop for maximum speed, at the cost
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; of a larger routine
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; 440 to 696 cycles
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.repeat 16, bitnum
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; bitnum < 8: 25 or 41 cycles
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; bitnum >= 8: 30 or 46 cycles
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bitmul16 arg1, arg2, result, bitnum
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.endrepeat
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; In case of mixed input signs, return a negative result.
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cpx #1 ; 2 cyc
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bne positive_result ; 2 cyc
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neg32 result ; 34 cyc
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positive_result:
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rts ; 6 cyc
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.endproc
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2247
mandel-core.s
2247
mandel-core.s
File diff suppressed because it is too large
Load diff
15
mandel.c
15
mandel.c
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@ -1,15 +0,0 @@
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/**
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* The UI and I/O wrapper for the Mandelbrot runner, in C.
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*
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* For the moment *all* logic is in mandel-core.s, I'm just
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* trying to get this to run within a cc65 environment.
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* Eventually just the inner loop fun will live in there.
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*/
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#include <stdlib.h>
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#include <stdio.h>
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#include "mandel.h"
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void main(void) {
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mandel_start();
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}
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4
mandel.h
4
mandel.h
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@ -1,4 +0,0 @@
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#include <inttypes.h>
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// From mandel-core.s:
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extern void mandel_start(void);
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25
readme.md
25
readme.md
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@ -14,37 +14,32 @@ Non-goals:
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Enjoy! I'll probably work on this off and on for the next few weeks until I've got it producing fractals.
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-- brooke, january 2023 - december 2024
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-- brooke, january 2023 - february 2024
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## Current state
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Basic rendering is functional, with interactive zoom/pan (+/-/arrows) and 6 preset viewports via the number keys.
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Basic rendering is functional, but no interactive behavior (zoom/pan) or benchmarking is done yet.
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The 16-bit signed integer multiplication takes two 16-bit inputs and emits one 32-bit output in the zero page, using the Atari OS ROM's floating point registers as workspaces. Inputs are clobbered.
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The 16-bit signed integer multiplication works; it takes two 16-bit inputs and emits one 32-bit output in the zero page, using the Atari OS ROM's floating point registers as workspaces. Inputs are clobbered.
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* 16-bit multiplies are decomposed into 4 8-bit unsigned multiplies and some addition
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* an optimized case for squares uses a table of 8-bit squares to reduce the number of 8-bit multiplication sub-ops
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* when expanded RAM is available as on 130XE, a 64KB 8-bit multiplication table accelerates the remaining multiplications
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* without expanded RAM, a table of half-squares is used to implement the algorithm from https://everything2.com/title/Fast+6502+multiplication
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The main loop is a basic add-and-shift, using 16-bit adds which requires flipping the sign of negative inputs (otherwise you'd have to add all those sign-extension bits). Runs in 470-780 cycles depending on input.
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The mandelbrot calculations are done using 3.13-precision fixed point numbers with 6.26-precision intermediates.
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The mandelbrot calculations are done using 4.12-precision fixed point numbers. It may be possible to squish this down to 3.13.
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Iterations are capped at 255.
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The pixels are run in a progressive layout to get the basic shape on screen faster.
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There is a running counter of ms/px using the vertical blank interrupts as a timer, used to track our progress. :D
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## Next steps
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There's a check for cycles in (zx,zy) output when in the 'lake'; if values repeat, they cannot escape. This is a big time saver in fractint.
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Add a running counter of ms/px using the vertical blank interrupts as a timer. This'll show how further work improves it!
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There's some cute color cycling.
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Check for cycles in (zx,zy) output when in the 'lake'; if values repeat, they cannot escape. This is a big time saver in fractint.
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I may be able to do a faster multiply using tables of squares for 8-bit component multiplication.
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## Deps and build instructions
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I'm using `ca65` as a macro assembler, and have a Unix-style `Makefile` for building. Should work fairly easily on Linux and Mac. Might work on "raw" Windows but I use WSL for that.
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Currently produces a `.xex` executable, which can be booted up in common Atari emulators and some i/o devices.
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## Todo
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See ideas in `todo.md`.
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23
tables.js
23
tables.js
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@ -11,40 +11,23 @@ function db(func) {
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return lines.join('\n');
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}
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let squares = [];
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for (let i = 0; i < 512; i++) {
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squares.push(Math.trunc((i * i + 1) / 2));
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}
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console.log(
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`.segment "TABLES"
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.export mul_lobyte256
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.export mul_hibyte256
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.export mul_hibyte512
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.export sqr_lobyte
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.export sqr_hibyte
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; (i * i + 1) / 2 for the multiplier
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.align 256
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mul_lobyte256:
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${db((i) => squares[i] & 0xff)}
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${db((x) => Math.round(x * x / 2) & 0xff)}
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.align 256
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mul_hibyte256:
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${db((i) => (squares[i] >> 8) & 0xff)}
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${db((x) => (Math.round(x * x / 2) >> 8) & 0xff)}
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.align 256
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mul_hibyte512:
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${db((i) => (squares[i + 256] >> 8) & 0xff)}
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; (i * i) for the plain squares
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.align 256
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sqr_lobyte:
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${db((i) => (i * i) & 0xff)}
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.align 256
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sqr_hibyte:
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${db((i) => ((i * i) >> 8) & 0xff)}
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${db((x) => (Math.round((x + 256) * (x + 256) / 2) >> 8) & 0xff)}
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`);
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|
|
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17
todo.md
17
todo.md
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@ -1,17 +0,0 @@
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things to try:
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||||
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||||
* fix status bar to show elapsed time, per-iter time, per-pixel iter count
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||||
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||||
* 'turbo' mode disabling graphics in full or part
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||||
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||||
* patch the entire expanded-ram imul8xe on top of imul8 to avoid the 3-cycle thunk penalty :D
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||||
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||||
* maybe clean up the load/layout of the big mul table
|
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||||
* consider alternate lookup tables in the top 16KB under ROM
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||||
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||||
* y-axis mirror optimization
|
||||
|
||||
* extract viewport for display & re-input via keyboard
|
||||
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||||
* fujinet screenshot/viewport uploader
|
||||
Loading…
Reference in a new issue