singrdk/base/boot/Singldr/uldiv.asm

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2008-03-05 09:52:00 -05:00
page ,132
title uldiv - unsigned long divide routine
;***
;uldiv.asm - unsigned long divide routine
;
; Copyright (c) Microsoft Corporation. All rights reserved.
;
;Purpose:
; defines the unsigned long divide routine
; the following routines are created:
; __aFuldiv (large, medium models)
; __aNuldiv (small, compact models)
;
;*******************************************************************************
.xlist
include ulhelp.inc
.list
sBegin code
assumes cs,code
assumes ds,data
page
;***
;uldiv - unsigned long divide
;
;Purpose:
; Does a unsigned long divide of the arguments. Arguments are
; not changed.
;
;Entry:
; Arguments are passed on the stack:
; 1st pushed: divisor (DWORD)
; 2nd pushed: dividend (DWORD)
;
;Exit:
; DX:AX contains the quotient (dividend/divisor)
; NOTE: this routine removes the parameters from the stack.
;
;Uses:
; CX
;
;Exceptions:
;
;*******************************************************************************
ASGN uldiv
push bx
push si
; Set up the local stack and save the index registers. When this is done
; the stack frame will look as follows (assuming that the expression a/b will
; generate a call to uldiv(a, b)):
;
; -----------------
; | |
; |---------------|
; | |
; |--divisor (b)--|
; | |
; |---------------|
; | |
; |--dividend (a)-|
; | |
; |---------------|
; | return addr** |
; |---------------|
; BP----->| old BP |
; |---------------|
; | BX |
; |---------------|
; SP----->| SI |
; -----------------
;
; ** - 2 bytes if small/compact model; 4 bytes if medium/large model
DVND equ BPARGBAS[bp] ; stack address of dividend (a)
DVSR equ BPARGBAS+4[bp] ; stack address of divisor (b)
;
; Now do the divide. First look to see if the divisor is less than 64K.
; If so, then we can use a simple algorithm with word divides, otherwise
; things get a little more complex.
;
mov ax,HIWORD(DVSR) ; check to see if divisor < 64K
or ax,ax
jnz L1 ; nope, gotta do this the hard way
mov cx,LOWORD(DVSR) ; load divisor
mov ax,HIWORD(DVND) ; load high word of dividend
xor dx,dx
div cx ; get high order bits of quotient
mov bx,ax ; save high bits of quotient
mov ax,LOWORD(DVND) ; dx:ax <- remainder:lo word of dividend
div cx ; get low order bits of quotient
mov dx,bx ; dx:ax <- quotient hi:quotient lo
jmp short L2 ; restore stack and return
;
; Here we do it the hard way. Remember, ax contains DVSRHI
;
L1:
mov cx,ax ; cx:bx <- divisor
mov bx,LOWORD(DVSR)
mov dx,HIWORD(DVND) ; dx:ax <- dividend
mov ax,LOWORD(DVND)
L3:
shr cx,1 ; shift divisor right one bit; hi bit <- 0
rcr bx,1
shr dx,1 ; shift dividend right one bit; hi bit <- 0
rcr ax,1
or cx,cx
jnz L3 ; loop until divisor < 64K
div bx ; now divide, ignore remainder
mov si,ax ; save quotient
;
; We may be off by one, so to check, we will multiply the quotient
; by the divisor and check the result against the orignal dividend
; Note that we must also check for overflow, which can occur if the
; dividend is close to 2**32 and the quotient is off by 1.
;
mul word ptr HIWORD(DVSR) ; QUOT * HIWORD(DVSR)
xchg cx,ax ; "mov cx,ax" but only 1 byte
mov ax,LOWORD(DVSR)
mul si ; QUOT * LOWORD(DVSR)
add dx,cx ; DX:AX = QUOT * DVSR
jc L4 ; carry means Quotient is off by 1
;
; do long compare here between original dividend and the result of the
; multiply in dx:ax. If original is larger or equal, we are ok, otherwise
; subtract one (1) from the quotient.
;
cmp dx,HIWORD(DVND) ; compare hi words of result and original
ja L4 ; if result > original, do subtract
jb L5 ; if result < original, we are ok
cmp ax,LOWORD(DVND) ; hi words are equal, compare lo words
jbe L5 ; if less or equal we are ok, else subtract
L4:
dec si ; subtract 1 from quotient
L5:
xor dx,dx ; dx:ax <- quotient
xchg ax,si ; "mov ax,si" but only 1 byte
;
; Just the cleanup left to do. dx:ax contains the quotient.
; Restore the saved registers and return.
;
L2:
pop si
pop bx
cEnd <nolocals>
return 8
sEnd
end