851 lines
20 KiB
NASM
851 lines
20 KiB
NASM
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; 8086 version of app that proves you can't win at tic-tac-toe
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; build with masm 5.0 like this:
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; ntvdm -h masm /Zi /Zd /z /l %1,,,;
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; ntvdm -h link %1,,%1,,nul.def
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;
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; board position:
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; 0 1 2
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; 3 4 5
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; 6 7 8
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dosseg
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.model small
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.stack 100h
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; DOS constants
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dos_write_char equ 2h
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dos_realtime_clock equ 1ah
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dos_exit equ 4ch
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default_iterations equ 1 ; # of times to run (max 32767)
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max_score equ 9 ; maximum score
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min_score equ 2 ; minimum score
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win_score equ 6 ; winning score
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tie_score equ 5 ; tie score
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lose_score equ 4 ; losing score
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x_piece equ 1
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o_piece equ 2
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blank_piece equ 0
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; arguments to minmax relative to bp/sp
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; space between locals and arguments:
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; 0-1 2 or 4 bytes for return pc if minmax is near or far (it's near here)
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; 2-3 2 bytes to save BP
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alpha_offset equ 4
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beta_offset equ 6
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dataseg segment para public 'data'
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assume ds: dataseg
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crlfmsg db 13,10,0
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secondsmsg db ' seconds',13,10,0
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iterationsmsg db 'iterations: ',0
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zeroitersmsg db 'iterations argument must be 1..32767',13,10,0
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movesmsg db 'moves: ',0
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commaspmsg db ', ',0
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align 16
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board db 0,0,0,0,0,0,0,0,0
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align 2
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iters dw 0 ; iterations of running the app so far
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totaliters dw 0 ; # of iterations to run in total
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align 4
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scratchpad dd 0
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starttime dd 0
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result dd 0
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align 2
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winprocs dw proc0, proc1, proc2, proc3, proc4, proc5, proc6, proc7, proc8
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dataseg ends
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.code
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start:
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mov ax, dataseg
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mov ds, ax
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mov di, 0
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mov [ di + totaliters ], default_iterations
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xor ax, ax
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cmp al, byte ptr es: [ di + 128 ] ; command tail length is 128 bytes into the PSP
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jz done_with_arguments
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mov cx, 129 ; string is guaranteed to be 0x0d terminated by DOS
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push ds
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mov ax, es ; temporarily make ds point to the psp
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mov ds, ax
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call atou ; pointer to string in cx, unsigned integer result in ax
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pop ds
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mov [ di + totaliters ], ax
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cmp ax, 0
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jnz done_with_arguments
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mov dx, offset zeroitersmsg ; the argument isn't valid; show error and exit
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call printstring
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mov al, 1
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mov ah, dos_exit
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int 21h
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done_with_arguments:
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xor ax, ax
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int dos_realtime_clock
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mov word ptr [ starttime ], dx
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mov word ptr [ starttime + 2 ], cx
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lea bx, [ board ] ; global board pointer
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xor ax, ax ; make sure ah is 0
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mov dx, ax ; make sure dh is 0
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again:
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xor si, si ; zero the global move count so it doesn't overflow
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; run for the 3 unique first moves
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mov ax, 0
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call runmm
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mov ax, 1
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call runmm
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mov ax, 4
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call runmm
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inc word ptr [ iters ]
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mov ax, [ totaliters ]
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cmp ax, [ iters ]
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jne again
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push si ; save the global move count for later
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call printelap
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mov dx, offset secondsmsg
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call printstring
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mov dx, offset movesmsg
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call printstring
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pop ax ; restore the global move count for printing
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call printint
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call printcrlf
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mov dx, offset iterationsmsg
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call printstring
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mov ax, [iters]
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call printint
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call printcrlf
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mov al, 0
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mov ah, dos_exit
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int 21h
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;start endp
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runmm proc near
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; make the first move
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mov di, ax
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push di
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mov byte ptr [ bx + di ], x_piece
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; alpha and beta passed on the stack
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; current move in di
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; current value in dl
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; current depth in cx
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; global move count in si
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; global board pointer in bx
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; always 0 in ah and dh
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xor cx, cx ; depth in cx
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mov al, max_score ; pushing constants didn't start until the 80186
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push ax ; beta
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mov al, min_score
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push ax ; alpha
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call minmax_min
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; restore the board at the first move position
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pop di
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mov byte ptr [ bx + di ], blank_piece
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ret
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runmm endp
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minmax_max proc near
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inc si ; increment global move count
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cmp cl, 4
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jl short _max_no_winner_check
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shl di, 1
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mov al, o_piece
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call word ptr [ offset winprocs + di ]
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cmp al, o_piece
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mov al, lose_score
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je short _max_just_return_al
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_max_no_winner_check:
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push bp
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mov bp, sp ; set bp to the stack location
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push dx ; save caller's value
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mov dl, min_score ; dx has value
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mov di, -1 ; di has the move 0..8
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inc cx ; increment global depth
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_max_loop:
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cmp di, 8
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je short _max_load_value_return
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inc di
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cmp byte ptr [ bx + di ], 0
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jnz short _max_loop
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push di
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mov byte ptr [ bx + di ], x_piece
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push [ bp + beta_offset ]
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push [ bp + alpha_offset ]
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call minmax_min
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pop di
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mov byte ptr [ bx + di ], 0
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cmp al, win_score ; can't do better than winning
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je short _max_restore_value
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cmp ax, dx ; compare score with value
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jle short _max_loop
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cmp al, [ bp + beta_offset ] ; compare value with beta
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jge short _max_restore_value ; beta pruning
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mov dx, ax ; update value with score
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cmp al, [ bp + alpha_offset ] ; compare value with alpha
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jle short _max_loop
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mov [ bp + alpha_offset ], al ; update alpha with value
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jmp short _max_loop
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_max_load_value_return:
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mov ax, dx
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_max_restore_value:
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dec cx
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pop dx ; restore caller's value
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pop bp
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_max_just_return_al:
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ret 4 ; cleanup stack space used for arguments
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minmax_max endp
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minmax_min proc near
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inc si ; increment global move count
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cmp cl, 4
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jl short _min_no_winner_check
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shl di, 1
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mov al, x_piece
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call word ptr [ offset winprocs + di ]
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cmp al, x_piece
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mov al, win_score
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je short _min_just_return_al
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cmp cl, 8
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mov al, tie_score
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je short _min_just_return_al
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_min_no_winner_check:
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push bp
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mov bp, sp ; set bp to the stack location
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push dx ; save caller's value
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mov dl, max_score ; dx has value
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mov di, -1 ; di has the move 0..8
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inc cx ; increment global depth
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_min_loop:
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cmp di, 8
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je short _min_load_value_return
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inc di
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cmp byte ptr [ bx + di ], 0
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jne short _min_loop
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push di
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mov byte ptr [ bx + di ], o_piece
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push [ bp + beta_offset ]
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push [ bp + alpha_offset ]
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call minmax_max
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pop di
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mov byte ptr [ bx + di ], 0
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cmp al, lose_score ; can't do better than losing
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je short _min_restore_value
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cmp al, dl ; compare score with value
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jge short _min_loop
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cmp al, [ bp + alpha_offset ] ; compare value with alpha
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jle short _min_restore_value ; alpha pruning
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mov dx, ax ; update value with score
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cmp al, [ bp + beta_offset ] ; compare value with beta
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jge short _min_loop
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mov [ bp + beta_offset ], al ; update beta with value
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jmp short _min_loop
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_min_load_value_return:
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mov ax, dx
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_min_restore_value:
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dec cx
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pop dx ; restore caller's value
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pop bp
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_min_just_return_al:
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ret 4 ; cleanup stack space used for arguments
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minmax_min endp
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IFDEF WinnerProc
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; winner is no longer used since function pointers with the most recent move in ax are much faster
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winner proc near
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xor al, al
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mov al, [ bx ]
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cmp al, 0
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je _win_check_3
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cmp al, [ bx + 1 ]
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jne _win_check_0_b
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cmp al, [ bx + 2 ]
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jne _win_check_0_b
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ret
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_win_check_0_b:
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cmp al, [ bx + 3 ]
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jne _win_check_3
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cmp al, [ bx + 6 ]
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jne _win_check_3
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ret
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_win_check_3:
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mov al, [ bx + 3 ]
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cmp al, 0
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je _win_check_6
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cmp al, [ bx + 4 ]
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jne _win_check_6
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cmp al, [ bx + 5 ]
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jne _win_check_6
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ret
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_win_check_6:
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mov al, [ bx + 6 ]
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cmp al, 0
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je _win_check_1
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cmp al, [ bx + 7 ]
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jne _win_check_1
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cmp al, [ bx + 8 ]
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jne _win_check_1
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ret
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_win_check_1:
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mov al, [ bx + 1 ]
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cmp al, 0
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je _win_check_2
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cmp al, [ bx + 4 ]
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jne _win_check_2
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cmp al, [ bx + 7 ]
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jne _win_check_2
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ret
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_win_check_2:
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mov al, [ bx + 2 ]
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cmp al, 0
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je _win_check_4
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cmp al, [ bx + 5 ]
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jne _win_check_4
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cmp al, [ bx + 8 ]
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jne _win_check_4
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ret
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_win_check_4:
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mov al, [ bx + 4 ]
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cmp al, 0
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je _win_return
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cmp al, [ bx ]
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jne _win_check_4_b
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cmp al, [ bx + 8 ]
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jne _win_check_4_b
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ret
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_win_check_4_b:
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cmp al, [ bx + 2 ]
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jne _win_return_blank
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cmp al, [ bx + 6 ]
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je _win_return
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_win_return_blank:
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xor al, al
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_win_return:
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ret
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winner endp
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ENDIF ; WinnerProc
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atou proc near ; string input in cx. unsigned 16-bit integer result in ax
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push di
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push bx
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push cx
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mov bx, 0 ; running total is in bx
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mov di, cx
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mov cx, 10
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_skipspaces:
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cmp byte ptr [di ], ' '
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jne _atouNext
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inc di
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jmp _skipspaces
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_atouNext:
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cmp byte ptr [ di ], '0' ; if not a digit, we're done. Works with null and 0x0d terminated strings
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jb _atouDone
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cmp byte ptr [ di ], '9' + 1
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jge _atouDone
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mov ax, bx
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mul cx
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mov bx, ax
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xor ah, ah
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mov al, byte ptr [ di ]
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sub ax, '0'
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add bx, ax
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inc di
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jmp _atouNext
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_atouDone:
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mov ax, bx
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pop cx
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pop bx
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pop di
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ret
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atou endp
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; print the integer in ax
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printint proc near
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test ah, 80h
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push ax
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push bx
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push cx
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push dx
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push di
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push si
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jz _prpositive
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neg ax ; just one instruction for complement + 1
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push ax
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mov dx, '-'
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mov ah, dos_write_char
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int 21h
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pop ax
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_prpositive:
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xor cx, cx
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xor dx, dx
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cmp ax, 0
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je _przero
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_prlabel1:
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cmp ax, 0
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je _prprint1
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mov bx, 10
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div bx
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push dx
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inc cx
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xor dx, dx
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jmp _prlabel1
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_prprint1:
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cmp cx, 0
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je _prexit
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pop dx
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add dx, 48
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mov ah, dos_write_char
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int 21h
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dec cx
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jmp _prprint1
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_przero:
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mov dx, '0'
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mov ah, dos_write_char
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int 21h
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_prexit:
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pop si
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pop di
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pop dx
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pop cx
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pop bx
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pop ax
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ret
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printint endp
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printcrlf proc near
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push ax
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push bx
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push cx
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push dx
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push di
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push si
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mov dx, offset crlfmsg
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call printstring
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pop si
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pop di
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pop dx
|
||
|
pop cx
|
||
|
pop bx
|
||
|
pop ax
|
||
|
ret
|
||
|
printcrlf endp
|
||
|
|
||
|
printcommasp proc near
|
||
|
push ax
|
||
|
push bx
|
||
|
push cx
|
||
|
push dx
|
||
|
push di
|
||
|
push si
|
||
|
mov dx, offset commaspmsg
|
||
|
call printstring
|
||
|
pop si
|
||
|
pop di
|
||
|
pop dx
|
||
|
pop cx
|
||
|
pop bx
|
||
|
pop ax
|
||
|
ret
|
||
|
printcommasp endp
|
||
|
|
||
|
prperiod proc near
|
||
|
push ax
|
||
|
push bx
|
||
|
push cx
|
||
|
push dx
|
||
|
push di
|
||
|
push si
|
||
|
mov dx, '.'
|
||
|
mov ah, dos_write_char
|
||
|
int 21h
|
||
|
pop si
|
||
|
pop di
|
||
|
pop dx
|
||
|
pop cx
|
||
|
pop bx
|
||
|
pop ax
|
||
|
ret
|
||
|
prperiod endp
|
||
|
|
||
|
printelap proc near
|
||
|
push ax
|
||
|
push bx
|
||
|
push cx
|
||
|
push dx
|
||
|
push di
|
||
|
push si
|
||
|
xor ax, ax
|
||
|
int dos_realtime_clock
|
||
|
mov word ptr [ scratchpad ], dx
|
||
|
mov word ptr [ scratchpad + 2 ], cx
|
||
|
mov dl, 0
|
||
|
mov ax, word ptr [ scratchpad ]
|
||
|
mov bx, word ptr [ starttime ]
|
||
|
sub ax, bx
|
||
|
mov word ptr [ result ], ax
|
||
|
mov ax, word ptr [ scratchpad + 2 ]
|
||
|
mov bx, word ptr [ starttime + 2 ]
|
||
|
sbb ax, bx
|
||
|
mov word ptr [ result + 2 ], ax
|
||
|
mov dx, word ptr [ result + 2 ]
|
||
|
mov ax, word ptr [ result ]
|
||
|
mov bx, 10000
|
||
|
mul bx
|
||
|
mov bx, 18206
|
||
|
div bx
|
||
|
xor dx, dx
|
||
|
mov bx, 10
|
||
|
div bx
|
||
|
push dx
|
||
|
call printint
|
||
|
call prperiod
|
||
|
pop ax
|
||
|
call printint
|
||
|
pop si
|
||
|
pop di
|
||
|
pop dx
|
||
|
pop cx
|
||
|
pop bx
|
||
|
pop ax
|
||
|
ret
|
||
|
printelap endp
|
||
|
|
||
|
printstring proc near
|
||
|
push ax
|
||
|
push bx
|
||
|
push cx
|
||
|
push dx
|
||
|
push di
|
||
|
push si
|
||
|
|
||
|
mov di, dx
|
||
|
|
||
|
_psnext:
|
||
|
mov al, byte ptr [ di ]
|
||
|
cmp al, 0
|
||
|
je _psdone
|
||
|
mov dx, ax
|
||
|
mov ah, dos_write_char
|
||
|
int 21h
|
||
|
|
||
|
inc di
|
||
|
jmp _psnext
|
||
|
|
||
|
_psdone:
|
||
|
pop si
|
||
|
pop di
|
||
|
pop dx
|
||
|
pop cx
|
||
|
pop bx
|
||
|
pop ax
|
||
|
ret
|
||
|
printstring endp
|
||
|
|
||
|
align 2
|
||
|
proc0 proc near
|
||
|
cmp al, [bx + 1]
|
||
|
jne short proc0_next_win
|
||
|
cmp al, [bx + 2]
|
||
|
je short proc0_yes
|
||
|
|
||
|
proc0_next_win:
|
||
|
cmp al, [bx + 3]
|
||
|
jne short proc0_next_win2
|
||
|
cmp al, [bx + 6]
|
||
|
je short proc0_yes
|
||
|
|
||
|
proc0_next_win2:
|
||
|
cmp al, [bx + 4]
|
||
|
jne short proc0_no
|
||
|
cmp al, [bx + 8]
|
||
|
je short proc0_yes
|
||
|
|
||
|
proc0_no:
|
||
|
mov al, ah ; ah is always 0. mov al, ah is 2 cycles. xor ax and xor al are both 3 cycles.
|
||
|
|
||
|
proc0_yes:
|
||
|
ret
|
||
|
proc0 endp
|
||
|
|
||
|
align 2
|
||
|
proc1 proc near
|
||
|
cmp al, [bx + 0]
|
||
|
jne short proc1_next_win
|
||
|
cmp al, [bx + 2]
|
||
|
je short proc1_yes
|
||
|
|
||
|
proc1_next_win:
|
||
|
cmp al, [bx + 4]
|
||
|
jne short proc1_no
|
||
|
cmp al, [bx + 7]
|
||
|
je short proc1_yes
|
||
|
|
||
|
proc1_no:
|
||
|
mov al, ah
|
||
|
|
||
|
proc1_yes:
|
||
|
ret
|
||
|
proc1 endp
|
||
|
|
||
|
align 2
|
||
|
proc2 proc near
|
||
|
cmp al, [bx + 0]
|
||
|
jne short proc2_next_win
|
||
|
cmp al, [bx + 1]
|
||
|
je short proc2_yes
|
||
|
|
||
|
proc2_next_win:
|
||
|
cmp al, [bx + 5]
|
||
|
jne short proc2_next_win2
|
||
|
cmp al, [bx + 8]
|
||
|
je short proc2_yes
|
||
|
|
||
|
proc2_next_win2:
|
||
|
cmp al, [bx + 4]
|
||
|
jne short proc2_no
|
||
|
cmp al, [bx + 6]
|
||
|
je short proc2_yes
|
||
|
|
||
|
proc2_no:
|
||
|
mov al, ah
|
||
|
|
||
|
proc2_yes:
|
||
|
ret
|
||
|
proc2 endp
|
||
|
|
||
|
align 2
|
||
|
proc3 proc near
|
||
|
cmp al, [bx + 0]
|
||
|
jne short proc3_next_win
|
||
|
cmp al, [bx + 6]
|
||
|
je short proc3_yes
|
||
|
|
||
|
proc3_next_win:
|
||
|
cmp al, [bx + 4]
|
||
|
jne short proc3_no
|
||
|
cmp al, [bx + 5]
|
||
|
je short proc3_yes
|
||
|
|
||
|
proc3_no:
|
||
|
mov al, ah
|
||
|
|
||
|
proc3_yes:
|
||
|
ret
|
||
|
proc3 endp
|
||
|
|
||
|
align 2
|
||
|
proc4 proc near
|
||
|
cmp al, [bx + 0]
|
||
|
jne short proc4_next_win
|
||
|
cmp al, [bx + 8]
|
||
|
je short proc4_yes
|
||
|
|
||
|
proc4_next_win:
|
||
|
cmp al, [bx + 2]
|
||
|
jne short proc4_next_win2
|
||
|
cmp al, [bx + 6]
|
||
|
je short proc4_yes
|
||
|
|
||
|
proc4_next_win2:
|
||
|
cmp al, [bx + 1]
|
||
|
jne short proc4_next_win3
|
||
|
cmp al, [bx + 7]
|
||
|
je short proc4_yes
|
||
|
|
||
|
proc4_next_win3:
|
||
|
cmp al, [bx + 3]
|
||
|
jne short proc4_no
|
||
|
cmp al, [bx + 5]
|
||
|
je short proc4_yes
|
||
|
|
||
|
proc4_no:
|
||
|
mov al, ah
|
||
|
|
||
|
proc4_yes:
|
||
|
ret
|
||
|
proc4 endp
|
||
|
|
||
|
align 2
|
||
|
proc5 proc near
|
||
|
cmp al, [bx + 3]
|
||
|
jne short proc5_next_win
|
||
|
cmp al, [bx + 4]
|
||
|
je short proc5_yes
|
||
|
|
||
|
proc5_next_win:
|
||
|
cmp al, [bx + 2]
|
||
|
jne short proc5_no
|
||
|
cmp al, [bx + 8]
|
||
|
je short proc5_yes
|
||
|
|
||
|
proc5_no:
|
||
|
mov al, ah
|
||
|
|
||
|
proc5_yes:
|
||
|
ret
|
||
|
proc5 endp
|
||
|
|
||
|
align 2
|
||
|
proc6 proc near
|
||
|
cmp al, [bx + 2]
|
||
|
jne short proc6_next_win
|
||
|
cmp al, [bx + 4]
|
||
|
je short proc6_yes
|
||
|
|
||
|
proc6_next_win:
|
||
|
cmp al, [bx + 0]
|
||
|
jne short proc6_next_win2
|
||
|
cmp al, [bx + 3]
|
||
|
je short proc6_yes
|
||
|
|
||
|
proc6_next_win2:
|
||
|
cmp al, [bx + 7]
|
||
|
jne short proc6_no
|
||
|
cmp al, [bx + 8]
|
||
|
je short proc6_yes
|
||
|
|
||
|
proc6_no:
|
||
|
mov al, ah
|
||
|
|
||
|
proc6_yes:
|
||
|
ret
|
||
|
proc6 endp
|
||
|
|
||
|
align 2
|
||
|
proc7 proc near
|
||
|
cmp al, [bx + 1]
|
||
|
jne short proc7_next_win
|
||
|
cmp al, [bx + 4]
|
||
|
je short proc7_yes
|
||
|
|
||
|
proc7_next_win:
|
||
|
cmp al, [bx + 6]
|
||
|
jne short proc7_no
|
||
|
cmp al, [bx + 8]
|
||
|
je short proc7_yes
|
||
|
|
||
|
proc7_no:
|
||
|
mov al, ah
|
||
|
|
||
|
proc7_yes:
|
||
|
ret
|
||
|
proc7 endp
|
||
|
|
||
|
align 2
|
||
|
proc8 proc near
|
||
|
cmp al, [bx + 0]
|
||
|
jne short proc8_next_win
|
||
|
cmp al, [bx + 4]
|
||
|
je short proc8_yes
|
||
|
|
||
|
proc8_next_win:
|
||
|
cmp al, [bx + 2]
|
||
|
jne short proc8_next_win2
|
||
|
cmp al, [bx + 5]
|
||
|
je short proc8_yes
|
||
|
|
||
|
proc8_next_win2:
|
||
|
cmp al, [bx + 6]
|
||
|
jne short proc8_no
|
||
|
cmp al, [bx + 7]
|
||
|
je short proc8_yes
|
||
|
|
||
|
proc8_no:
|
||
|
mov al, ah
|
||
|
|
||
|
proc8_yes:
|
||
|
ret
|
||
|
proc8 endp
|
||
|
|
||
|
end
|