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title lldvrm - signed long divide and remainder routine ;*** ;lldvrm.asm - signed long divide and remainder routine ; ; Copyright (c) 1985-2001, Microsoft Corporation. All rights reserved. ; ;Purpose: ; defines the signed long divide and remainder routine ; __alldvrm ; ;Revision History: ; 10-06-98 SMK Initial version. ; ;*******************************************************************************
.xlist include cruntime.inc include mm.inc .list
;*** ;lldvrm - signed long divide and remainder ; ;Purpose: ; Does a signed long divide and remainder of the arguments. Arguments are ; not changed. ; ;Entry: ; Arguments are passed on the stack: ; 1st pushed: divisor (QWORD) ; 2nd pushed: dividend (QWORD) ; ;Exit: ; EDX:EAX contains the quotient (dividend/divisor) ; EBX:ECX contains the remainder (divided % divisor) ; NOTE: this routine removes the parameters from the stack. ; ;Uses: ; ECX ; ;Exceptions: ; ;*******************************************************************************
CODESEG
_alldvrm PROC NEAR
push edi push esi push ebp
; 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 alldvrm(a, b)): ; ; ----------------- ; | | ; |---------------| ; | | ; |--divisor (b)--| ; | | ; |---------------| ; | | ; |--dividend (a)-| ; | | ; |---------------| ; | return addr** | ; |---------------| ; | EDI | ; |---------------| ; | ESI | ; |---------------| ; ESP---->| EBP | ; ----------------- ;
DVND equ [esp + 16] ; stack address of dividend (a) DVSR equ [esp + 24] ; stack address of divisor (b)
; Determine sign of the quotient (edi = 0 if result is positive, non-zero ; otherwise) and make operands positive. ; Sign of the remainder is kept in ebp.
xor edi,edi ; result sign assumed positive xor ebp,ebp ; result sign assumed positive
mov eax,HIWORD(DVND) ; hi word of a or eax,eax ; test to see if signed jge short L1 ; skip rest if a is already positive inc edi ; complement result sign flag inc ebp ; complement result sign flag mov edx,LOWORD(DVND) ; lo word of a neg eax ; make a positive neg edx sbb eax,0 mov HIWORD(DVND),eax ; save positive value mov LOWORD(DVND),edx L1: mov eax,HIWORD(DVSR) ; hi word of b or eax,eax ; test to see if signed jge short L2 ; skip rest if b is already positive inc edi ; complement the result sign flag mov edx,LOWORD(DVSR) ; lo word of a neg eax ; make b positive neg edx sbb eax,0 mov HIWORD(DVSR),eax ; save positive value mov LOWORD(DVSR),edx L2:
; ; Now do the divide. First look to see if the divisor is less than 4194304K. ; If so, then we can use a simple algorithm with word divides, otherwise ; things get a little more complex. ; ; NOTE - eax currently contains the high order word of DVSR ;
or eax,eax ; check to see if divisor < 4194304K jnz short L3 ; nope, gotta do this the hard way mov ecx,LOWORD(DVSR) ; load divisor mov eax,HIWORD(DVND) ; load high word of dividend xor edx,edx div ecx ; eax <- high order bits of quotient mov ebx,eax ; save high bits of quotient mov eax,LOWORD(DVND) ; edx:eax <- remainder:lo word of dividend div ecx ; eax <- low order bits of quotient mov esi,eax ; ebx:esi <- quotient ; ; Now we need to do a multiply so that we can compute the remainder. ; mov eax,ebx ; set up high word of quotient mul dword ptr LOWORD(DVSR) ; HIWORD(QUOT) * DVSR mov ecx,eax ; save the result in ecx mov eax,esi ; set up low word of quotient mul dword ptr LOWORD(DVSR) ; LOWORD(QUOT) * DVSR add edx,ecx ; EDX:EAX = QUOT * DVSR jmp short L4 ; complete remainder calculation
; ; Here we do it the hard way. Remember, eax contains the high word of DVSR ;
L3: mov ebx,eax ; ebx:ecx <- divisor mov ecx,LOWORD(DVSR) mov edx,HIWORD(DVND) ; edx:eax <- dividend mov eax,LOWORD(DVND) L5: shr ebx,1 ; shift divisor right one bit rcr ecx,1 shr edx,1 ; shift dividend right one bit rcr eax,1 or ebx,ebx jnz short L5 ; loop until divisor < 4194304K div ecx ; now divide, ignore remainder mov esi,eax ; 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**64 and the quotient is off by 1. ;
mul dword ptr HIWORD(DVSR) ; QUOT * HIWORD(DVSR) mov ecx,eax mov eax,LOWORD(DVSR) mul esi ; QUOT * LOWORD(DVSR) add edx,ecx ; EDX:EAX = QUOT * DVSR jc short L6 ; carry means Quotient is off by 1
; ; do long compare here between original dividend and the result of the ; multiply in edx:eax. If original is larger or equal, we are ok, otherwise ; subtract one (1) from the quotient. ;
cmp edx,HIWORD(DVND) ; compare hi words of result and original ja short L6 ; if result > original, do subtract jb short L7 ; if result < original, we are ok cmp eax,LOWORD(DVND) ; hi words are equal, compare lo words jbe short L7 ; if less or equal we are ok, else subtract L6: dec esi ; subtract 1 from quotient sub eax,LOWORD(DVSR) ; subtract divisor from result sbb edx,HIWORD(DVSR) L7: xor ebx,ebx ; ebx:esi <- quotient
L4: ; ; Calculate remainder by subtracting the result from the original dividend. ; Since the result is already in a register, we will do the subtract in the ; opposite direction and negate the result if necessary. ;
sub eax,LOWORD(DVND) ; subtract dividend from result sbb edx,HIWORD(DVND)
; ; Now check the result sign flag to see if the result is supposed to be positive ; or negative. It is currently negated (because we subtracted in the 'wrong' ; direction), so if the sign flag is set we are done, otherwise we must negate ; the result to make it positive again. ;
dec ebp ; check result sign flag jns short L9 ; result is ok, set up the quotient neg edx ; otherwise, negate the result neg eax sbb edx,0
; ; Now we need to get the quotient into edx:eax and the remainder into ebx:ecx. ; L9: mov ecx,edx mov edx,ebx mov ebx,ecx mov ecx,eax mov eax,esi
; ; Just the cleanup left to do. edx:eax contains the quotient. Set the sign ; according to the save value, cleanup the stack, and return. ;
dec edi ; check to see if result is negative jnz short L8 ; if EDI == 0, result should be negative neg edx ; otherwise, negate the result neg eax sbb edx,0
; ; Restore the saved registers and return. ;
L8: pop ebp pop esi pop edi
ret 16
_alldvrm ENDP
end
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