;******************************************************************************* ;ulldvrm.asm - unsigned long divide and remainder routine ; ; Copyright (c) Microsoft Corporation. All rights reserved. ; ;Purpose: ; defines the unsigned long divide and remainder routine ; __aulldvrm ; ;Revision History: ; 10-06-98 SMK Initial version. ; ;******************************************************************************* include hal.inc ;*** ;ulldvrm - unsigned long divide and remainder ; ;Purpose: ; Does a unsigned 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: ; ;******************************************************************************* __aulldvrm PROC NEAR push esi ; 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 aulldvrm(a, b)): ; ; ----------------- ; | | ; |---------------| ; | | ; |--divisor (b)--| ; | | ; |---------------| ; | | ; |--dividend (a)-| ; | | ; |---------------| ; | return addr** | ; |---------------| ; ESP---->| ESI | ; ----------------- ; DVND equ [esp + 8] ; stack address of dividend (a) DVSR equ [esp + 16] ; stack address of divisor (b) ; ; 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. ; mov eax,HIWORD(DVSR) ; check to see if divisor < 4194304K or eax,eax jnz short L1 ; 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 ; get 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 ; get 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 L2 ; complete remainder calculation ; ; Here we do it the hard way. Remember, eax contains DVSRHI ; L1: mov ecx,eax ; ecx:ebx <- divisor mov ebx,LOWORD(DVSR) mov edx,HIWORD(DVND) ; edx:eax <- dividend mov eax,LOWORD(DVND) L3: shr ecx,1 ; shift divisor right one bit; hi bit <- 0 rcr ebx,1 shr edx,1 ; shift dividend right one bit; hi bit <- 0 rcr eax,1 or ecx,ecx jnz short L3 ; loop until divisor < 4194304K div ebx ; 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 L4 ; 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 L4 ; if result > original, do subtract jb short L5 ; if result < original, we are ok cmp eax,LOWORD(DVND) ; hi words are equal, compare lo words jbe short L5 ; if less or equal we are ok, else subtract L4: dec esi ; subtract 1 from quotient sub eax,LOWORD(DVSR) ; subtract divisor from result sbb edx,HIWORD(DVSR) L5: xor ebx,ebx ; ebx:esi <- quotient L2: ; ; 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. ; sub eax,LOWORD(DVND) ; subtract dividend from result sbb edx,HIWORD(DVND) 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. ; 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. ; Restore the saved registers and return. ; pop esi ret 16 __aulldvrm ENDP end