1545 lines
48 KiB
NASM
1545 lines
48 KiB
NASM
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;++
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;
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; Copyright (c) Microsoft Corporation
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;
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; Module Name:
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;
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; blcrt.asm
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;
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; Abstract:
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;
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; This module implements utility functions for boot loader C runtime.
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;
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; Environment:
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;
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; Boot loader.
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;
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;--
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include bl.inc
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.686p
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.model flat
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.code
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assume ds:flat
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assume es:flat
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assume ss:flat
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assume fs:flat
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LOWORD equ [0]
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HIWORD equ [4]
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;***
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;lldiv.asm - signed long divide routine
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;
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; Copyright (c) Microsoft Corporation. All rights reserved.
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;
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;Purpose:
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; defines the signed long divide routine
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; __alldiv
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;
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;Revision History:
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; 11-29-83 DFW initial version
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; 06-01-84 RN modified to use cmacros
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; 10-24-87 SKS fixed off-by-1 error for dividend close to 2**32.
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; 05-18-89 SKS Remove redundant "MOV SP,BP" from epilog
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; 11-28-89 GJF Fixed copyright
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; 11-19-93 SMK Modified to work on 64 bit integers
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; 01-17-94 GJF Minor changes to build with NT's masm386.
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; 07-22-94 GJF Use esp-relative addressing for args. Shortened
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; conditional jumps. Also, don't use xchg to do a
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; simple move between regs.
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;
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;*******************************************************************************
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;***
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;lldiv - signed long divide
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;
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;Purpose:
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; Does a signed long divide of the arguments. Arguments are
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; not changed.
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;
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;Entry:
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; Arguments are passed on the stack:
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; 1st pushed: divisor (QWORD)
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; 2nd pushed: dividend (QWORD)
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;
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;Exit:
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; EDX:EAX contains the quotient (dividend/divisor)
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; NOTE: this routine removes the parameters from the stack.
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;
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;Uses:
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; ECX
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;
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;Exceptions:
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;
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;*******************************************************************************
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__alldiv PROC NEAR
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push edi
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push esi
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push ebx
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; Set up the local stack and save the index registers. When this is done
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; the stack frame will look as follows (assuming that the expression a/b will
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; generate a call to lldiv(a, b)):
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;
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; -----------------
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; | |
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; |---------------|
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; | |
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; |--divisor (b)--|
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; | |
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; |---------------|
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; | |
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; |--dividend (a)-|
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; | |
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; |---------------|
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; | return addr** |
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; |---------------|
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; | EDI |
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; |---------------|
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; | ESI |
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; |---------------|
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; ESP---->| EBX |
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; -----------------
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;
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DVND equ [esp + 16] ; stack address of dividend (a)
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DVSR equ [esp + 24] ; stack address of divisor (b)
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; Determine sign of the result (edi = 0 if result is positive, non-zero
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; otherwise) and make operands positive.
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xor edi,edi ; result sign assumed positive
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mov eax,HIWORD(DVND) ; hi word of a
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or eax,eax ; test to see if signed
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jge short L1 ; skip rest if a is already positive
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inc edi ; complement result sign flag
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mov edx,LOWORD(DVND) ; lo word of a
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neg eax ; make a positive
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neg edx
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sbb eax,0
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mov HIWORD(DVND),eax ; save positive value
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mov LOWORD(DVND),edx
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L1:
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mov eax,HIWORD(DVSR) ; hi word of b
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or eax,eax ; test to see if signed
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jge short L2 ; skip rest if b is already positive
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inc edi ; complement the result sign flag
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mov edx,LOWORD(DVSR) ; lo word of a
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neg eax ; make b positive
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neg edx
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sbb eax,0
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mov HIWORD(DVSR),eax ; save positive value
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mov LOWORD(DVSR),edx
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L2:
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;
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; Now do the divide. First look to see if the divisor is less than 4194304K.
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; If so, then we can use a simple algorithm with word divides, otherwise
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; things get a little more complex.
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;
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; NOTE - eax currently contains the high order word of DVSR
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;
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or eax,eax ; check to see if divisor < 4194304K
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jnz short L3 ; nope, gotta do this the hard way
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mov ecx,LOWORD(DVSR) ; load divisor
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mov eax,HIWORD(DVND) ; load high word of dividend
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xor edx,edx
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div ecx ; eax <- high order bits of quotient
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mov ebx,eax ; save high bits of quotient
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mov eax,LOWORD(DVND) ; edx:eax <- remainder:lo word of dividend
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div ecx ; eax <- low order bits of quotient
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mov edx,ebx ; edx:eax <- quotient
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jmp short L4 ; set sign, restore stack and return
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;
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; Here we do it the hard way. Remember, eax contains the high word of DVSR
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;
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L3:
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mov ebx,eax ; ebx:ecx <- divisor
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mov ecx,LOWORD(DVSR)
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mov edx,HIWORD(DVND) ; edx:eax <- dividend
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mov eax,LOWORD(DVND)
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L5:
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shr ebx,1 ; shift divisor right one bit
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rcr ecx,1
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shr edx,1 ; shift dividend right one bit
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rcr eax,1
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or ebx,ebx
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jnz short L5 ; loop until divisor < 4194304K
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div ecx ; now divide, ignore remainder
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mov esi,eax ; save quotient
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;
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; We may be off by one, so to check, we will multiply the quotient
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; by the divisor and check the result against the orignal dividend
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; Note that we must also check for overflow, which can occur if the
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; dividend is close to 2**64 and the quotient is off by 1.
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;
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mul dword ptr HIWORD(DVSR) ; QUOT * HIWORD(DVSR)
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mov ecx,eax
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mov eax,LOWORD(DVSR)
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mul esi ; QUOT * LOWORD(DVSR)
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add edx,ecx ; EDX:EAX = QUOT * DVSR
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jc short L6 ; carry means Quotient is off by 1
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;
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; do long compare here between original dividend and the result of the
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; multiply in edx:eax. If original is larger or equal, we are ok, otherwise
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; subtract one (1) from the quotient.
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;
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cmp edx,HIWORD(DVND) ; compare hi words of result and original
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ja short L6 ; if result > original, do subtract
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jb short L7 ; if result < original, we are ok
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cmp eax,LOWORD(DVND) ; hi words are equal, compare lo words
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jbe short L7 ; if less or equal we are ok, else subtract
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L6:
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dec esi ; subtract 1 from quotient
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L7:
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xor edx,edx ; edx:eax <- quotient
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mov eax,esi
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;
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; Just the cleanup left to do. edx:eax contains the quotient. Set the sign
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; according to the save value, cleanup the stack, and return.
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;
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L4:
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dec edi ; check to see if result is negative
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jnz short L8 ; if EDI == 0, result should be negative
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neg edx ; otherwise, negate the result
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neg eax
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sbb edx,0
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;
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; Restore the saved registers and return.
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;
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L8:
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pop ebx
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pop esi
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pop edi
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ret 16
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__alldiv ENDP
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;***
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;lldvrm.asm - signed long divide and remainder routine
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;
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; Copyright (c) Microsoft Corporation. All rights reserved.
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;
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;Purpose:
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; defines the signed long divide and remainder routine
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; __alldvrm
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;
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;Revision History:
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||
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; 10-06-98 SMK Initial version.
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||
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;
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;*******************************************************************************
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;***
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;lldvrm - signed long divide and remainder
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;
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;Purpose:
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; Does a signed long divide and remainder of the arguments. Arguments are
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||
|
; not changed.
|
||
|
;
|
||
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;Entry:
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|
; Arguments are passed on the stack:
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; 1st pushed: divisor (QWORD)
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; 2nd pushed: dividend (QWORD)
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;
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;Exit:
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; EDX:EAX contains the quotient (dividend/divisor)
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; EBX:ECX contains the remainder (divided % divisor)
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; NOTE: this routine removes the parameters from the stack.
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;
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;Uses:
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; ECX
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;
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;Exceptions:
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;
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;*******************************************************************************
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__alldvrm PROC NEAR
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push edi
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push esi
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push ebp
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|
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; Set up the local stack and save the index registers. When this is done
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; the stack frame will look as follows (assuming that the expression a/b will
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; generate a call to alldvrm(a, b)):
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;
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; -----------------
|
||
|
; | |
|
||
|
; |---------------|
|
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|
; | |
|
||
|
; |--divisor (b)--|
|
||
|
; | |
|
||
|
; |---------------|
|
||
|
; | |
|
||
|
; |--dividend (a)-|
|
||
|
; | |
|
||
|
; |---------------|
|
||
|
; | return addr** |
|
||
|
; |---------------|
|
||
|
; | EDI |
|
||
|
; |---------------|
|
||
|
; | ESI |
|
||
|
; |---------------|
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||
|
; ESP---->| EBP |
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||
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; -----------------
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||
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;
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DVND equ [esp + 16] ; stack address of dividend (a)
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DVSR equ [esp + 24] ; stack address of divisor (b)
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; Determine sign of the quotient (edi = 0 if result is positive, non-zero
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; otherwise) and make operands positive.
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; Sign of the remainder is kept in ebp.
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xor edi,edi ; result sign assumed positive
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xor ebp,ebp ; result sign assumed positive
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mov eax,HIWORD(DVND) ; hi word of a
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or eax,eax ; test to see if signed
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jge short L1 ; skip rest if a is already positive
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inc edi ; complement result sign flag
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inc ebp ; complement result sign flag
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mov edx,LOWORD(DVND) ; lo word of a
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neg eax ; make a positive
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neg edx
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sbb eax,0
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mov HIWORD(DVND),eax ; save positive value
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mov LOWORD(DVND),edx
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L1:
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mov eax,HIWORD(DVSR) ; hi word of b
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or eax,eax ; test to see if signed
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jge short L2 ; skip rest if b is already positive
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inc edi ; complement the result sign flag
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mov edx,LOWORD(DVSR) ; lo word of a
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neg eax ; make b positive
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neg edx
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sbb eax,0
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mov HIWORD(DVSR),eax ; save positive value
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mov LOWORD(DVSR),edx
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L2:
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|
||
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;
|
||
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; 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.
|
||
|
;
|
||
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; NOTE - eax currently contains the high order word of DVSR
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;
|
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or eax,eax ; check to see if divisor < 4194304K
|
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jnz short L3 ; nope, gotta do this the hard way
|
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mov ecx,LOWORD(DVSR) ; load divisor
|
||
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mov eax,HIWORD(DVND) ; load high word of dividend
|
||
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xor edx,edx
|
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div ecx ; eax <- high order bits of quotient
|
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mov ebx,eax ; save high bits of quotient
|
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mov eax,LOWORD(DVND) ; edx:eax <- remainder:lo word of dividend
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div ecx ; eax <- low order bits of quotient
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mov esi,eax ; ebx:esi <- quotient
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;
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; Now we need to do a multiply so that we can compute the remainder.
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;
|
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mov eax,ebx ; set up high word of quotient
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mul dword ptr LOWORD(DVSR) ; HIWORD(QUOT) * DVSR
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mov ecx,eax ; save the result in ecx
|
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mov eax,esi ; set up low word of quotient
|
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mul dword ptr LOWORD(DVSR) ; LOWORD(QUOT) * DVSR
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add edx,ecx ; EDX:EAX = QUOT * DVSR
|
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jmp short L4 ; complete remainder calculation
|
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|
|
||
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;
|
||
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; Here we do it the hard way. Remember, eax contains the high word of DVSR
|
||
|
;
|
||
|
|
||
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L3:
|
||
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mov ebx,eax ; ebx:ecx <- divisor
|
||
|
mov ecx,LOWORD(DVSR)
|
||
|
mov edx,HIWORD(DVND) ; edx:eax <- dividend
|
||
|
mov eax,LOWORD(DVND)
|
||
|
L5:
|
||
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shr ebx,1 ; shift divisor right one bit
|
||
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rcr ecx,1
|
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shr edx,1 ; shift dividend right one bit
|
||
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rcr eax,1
|
||
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or ebx,ebx
|
||
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jnz short L5 ; loop until divisor < 4194304K
|
||
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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
|
||
|
|
||
|
;***
|
||
|
;llmul.asm - long multiply routine
|
||
|
;
|
||
|
; Copyright (c) Microsoft Corporation. All rights reserved.
|
||
|
;
|
||
|
;Purpose:
|
||
|
; Defines long multiply routine
|
||
|
; Both signed and unsigned routines are the same, since multiply's
|
||
|
; work out the same in 2's complement
|
||
|
; creates the following routine:
|
||
|
; __allmul
|
||
|
;
|
||
|
;Revision History:
|
||
|
; 11-29-83 DFW initial version
|
||
|
; 06-01-84 RN modified to use cmacros
|
||
|
; 04-17-85 TC ignore signs since they take care of themselves
|
||
|
; do a fast multiply if both hiwords of arguments are 0
|
||
|
; 10-10-86 MH slightly faster implementation, for 0 in upper words
|
||
|
; 03-20-89 SKS Remove redundant "MOV SP,BP" from epilogs
|
||
|
; 05-18-89 SKS Preserve BX
|
||
|
; 11-28-89 GJF Fixed copyright
|
||
|
; 11-19-93 SMK Modified to work on 64 bit integers
|
||
|
; 01-17-94 GJF Minor changes to build with NT's masm386.
|
||
|
; 07-22-94 GJF Use esp-relative addressing for args. Shortened
|
||
|
; conditional jump.
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
|
||
|
;***
|
||
|
;llmul - long multiply routine
|
||
|
;
|
||
|
;Purpose:
|
||
|
; Does a long multiply (same for signed/unsigned)
|
||
|
; Parameters are not changed.
|
||
|
;
|
||
|
;Entry:
|
||
|
; Parameters are passed on the stack:
|
||
|
; 1st pushed: multiplier (QWORD)
|
||
|
; 2nd pushed: multiplicand (QWORD)
|
||
|
;
|
||
|
;Exit:
|
||
|
; EDX:EAX - product of multiplier and multiplicand
|
||
|
; NOTE: parameters are removed from the stack
|
||
|
;
|
||
|
;Uses:
|
||
|
; ECX
|
||
|
;
|
||
|
;Exceptions:
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
__allmul PROC NEAR
|
||
|
|
||
|
A EQU [esp + 4] ; stack address of a
|
||
|
B EQU [esp + 12] ; stack address of b
|
||
|
|
||
|
;
|
||
|
; AHI, BHI : upper 32 bits of A and B
|
||
|
; ALO, BLO : lower 32 bits of A and B
|
||
|
;
|
||
|
; ALO * BLO
|
||
|
; ALO * BHI
|
||
|
; + BLO * AHI
|
||
|
; ---------------------
|
||
|
;
|
||
|
|
||
|
mov eax,HIWORD(A)
|
||
|
mov ecx,HIWORD(B)
|
||
|
or ecx,eax ;test for both hiwords zero.
|
||
|
mov ecx,LOWORD(B)
|
||
|
jnz short hard ;both are zero, just mult ALO and BLO
|
||
|
|
||
|
mov eax,LOWORD(A)
|
||
|
mul ecx
|
||
|
|
||
|
ret 16 ; callee restores the stack
|
||
|
|
||
|
hard:
|
||
|
push ebx
|
||
|
|
||
|
; must redefine A and B since esp has been altered
|
||
|
|
||
|
A2 EQU [esp + 8] ; stack address of a
|
||
|
B2 EQU [esp + 16] ; stack address of b
|
||
|
|
||
|
mul ecx ;eax has AHI, ecx has BLO, so AHI * BLO
|
||
|
mov ebx,eax ;save result
|
||
|
|
||
|
mov eax,LOWORD(A2)
|
||
|
mul dword ptr HIWORD(B2) ;ALO * BHI
|
||
|
add ebx,eax ;ebx = ((ALO * BHI) + (AHI * BLO))
|
||
|
|
||
|
mov eax,LOWORD(A2) ;ecx = BLO
|
||
|
mul ecx ;so edx:eax = ALO*BLO
|
||
|
add edx,ebx ;now edx has all the LO*HI stuff
|
||
|
|
||
|
pop ebx
|
||
|
|
||
|
ret 16 ; callee restores the stack
|
||
|
|
||
|
__allmul ENDP
|
||
|
|
||
|
;***
|
||
|
;llrem.asm - signed long remainder routine
|
||
|
;
|
||
|
; Copyright (c) Microsoft Corporation. All rights reserved.
|
||
|
;
|
||
|
;Purpose:
|
||
|
; defines the signed long remainder routine
|
||
|
; __allrem
|
||
|
;
|
||
|
;Revision History:
|
||
|
; 11-29-83 DFW initial version
|
||
|
; 06-01-84 RN modified to use cmacros
|
||
|
; 10-23-87 SKS fixed off-by-1 error for dividend close to 2**32.
|
||
|
; 05-18-89 SKS Remove redundant "MOV SP,BP" from epilog
|
||
|
; 11-28-89 GJF Fixed copyright
|
||
|
; 11-19-93 SMK Modified to work on 64 bit integers
|
||
|
; 01-17-94 GJF Minor changes to build with NT's masm386.
|
||
|
; 07-22-94 GJF Use esp-relative addressing for args. Shortened
|
||
|
; conditional jumps.
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
|
||
|
;***
|
||
|
;llrem - signed long remainder
|
||
|
;
|
||
|
;Purpose:
|
||
|
; Does a signed long 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 remainder (dividend%divisor)
|
||
|
; NOTE: this routine removes the parameters from the stack.
|
||
|
;
|
||
|
;Uses:
|
||
|
; ECX
|
||
|
;
|
||
|
;Exceptions:
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
__allrem PROC NEAR
|
||
|
|
||
|
push ebx
|
||
|
push edi
|
||
|
|
||
|
; 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 lrem(a, b)):
|
||
|
;
|
||
|
; -----------------
|
||
|
; | |
|
||
|
; |---------------|
|
||
|
; | |
|
||
|
; |--divisor (b)--|
|
||
|
; | |
|
||
|
; |---------------|
|
||
|
; | |
|
||
|
; |--dividend (a)-|
|
||
|
; | |
|
||
|
; |---------------|
|
||
|
; | return addr** |
|
||
|
; |---------------|
|
||
|
; | EBX |
|
||
|
; |---------------|
|
||
|
; ESP---->| EDI |
|
||
|
; -----------------
|
||
|
;
|
||
|
|
||
|
DVND equ [esp + 12] ; stack address of dividend (a)
|
||
|
DVSR equ [esp + 20] ; stack address of divisor (b)
|
||
|
|
||
|
|
||
|
; Determine sign of the result (edi = 0 if result is positive, non-zero
|
||
|
; otherwise) and make operands positive.
|
||
|
|
||
|
xor edi,edi ; 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 bit
|
||
|
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
|
||
|
mov edx,LOWORD(DVSR) ; lo word of b
|
||
|
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 ; edx <- remainder
|
||
|
mov eax,LOWORD(DVND) ; edx:eax <- remainder:lo word of dividend
|
||
|
div ecx ; edx <- final remainder
|
||
|
mov eax,edx ; edx:eax <- remainder
|
||
|
xor edx,edx
|
||
|
dec edi ; check result sign flag
|
||
|
jns short L4 ; negate result, restore stack and return
|
||
|
jmp short L8 ; result sign ok, restore stack and return
|
||
|
|
||
|
;
|
||
|
; 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
|
||
|
|
||
|
;
|
||
|
; 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.
|
||
|
;
|
||
|
|
||
|
mov ecx,eax ; save a copy of quotient in ECX
|
||
|
mul dword ptr HIWORD(DVSR)
|
||
|
xchg ecx,eax ; save product, get quotient in EAX
|
||
|
mul dword ptr 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 the original divisor from the result.
|
||
|
;
|
||
|
|
||
|
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:
|
||
|
sub eax,LOWORD(DVSR) ; subtract divisor from result
|
||
|
sbb edx,HIWORD(DVSR)
|
||
|
L7:
|
||
|
|
||
|
;
|
||
|
; 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 edi ; check result sign flag
|
||
|
jns short L8 ; result is ok, restore stack and return
|
||
|
L4:
|
||
|
neg edx ; otherwise, negate the result
|
||
|
neg eax
|
||
|
sbb edx,0
|
||
|
|
||
|
;
|
||
|
; Just the cleanup left to do. edx:eax contains the quotient.
|
||
|
; Restore the saved registers and return.
|
||
|
;
|
||
|
|
||
|
L8:
|
||
|
pop edi
|
||
|
pop ebx
|
||
|
|
||
|
ret 16
|
||
|
|
||
|
__allrem ENDP
|
||
|
|
||
|
;***
|
||
|
;llshl.asm - long shift left
|
||
|
;
|
||
|
; Copyright (c) Microsoft Corporation. All rights reserved.
|
||
|
;
|
||
|
;Purpose:
|
||
|
; define long shift left routine (signed and unsigned are same)
|
||
|
; __allshl
|
||
|
;
|
||
|
;Revision History:
|
||
|
; 11-??-83 HS initial version
|
||
|
; 11-30-83 DFW added medium model support
|
||
|
; 03-12-84 DFW broke apart; added long model support
|
||
|
; 06-01-84 RN modified to use cmacros
|
||
|
; 11-28-89 GJF Fixed copyright
|
||
|
; 11-19-93 SMK Modified to work on 64 bit integers
|
||
|
; 01-17-94 GJF Minor changes to build with NT's masm386.
|
||
|
; 07-08-94 GJF Faster, fatter version for NT.
|
||
|
; 07-13-94 GJF Further improvements from JonM.
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
|
||
|
;***
|
||
|
;llshl - long shift left
|
||
|
;
|
||
|
;Purpose:
|
||
|
; Does a Long Shift Left (signed and unsigned are identical)
|
||
|
; Shifts a long left any number of bits.
|
||
|
;
|
||
|
;Entry:
|
||
|
; EDX:EAX - long value to be shifted
|
||
|
; CL - number of bits to shift by
|
||
|
;
|
||
|
;Exit:
|
||
|
; EDX:EAX - shifted value
|
||
|
;
|
||
|
;Uses:
|
||
|
; CL is destroyed.
|
||
|
;
|
||
|
;Exceptions:
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
__allshl PROC NEAR
|
||
|
|
||
|
;
|
||
|
; Handle shifts of 64 or more bits (all get 0)
|
||
|
;
|
||
|
cmp cl, 64
|
||
|
jae short RETZERO
|
||
|
|
||
|
;
|
||
|
; Handle shifts of between 0 and 31 bits
|
||
|
;
|
||
|
cmp cl, 32
|
||
|
jae short MORE32
|
||
|
shld edx,eax,cl
|
||
|
shl eax,cl
|
||
|
ret
|
||
|
|
||
|
;
|
||
|
; Handle shifts of between 32 and 63 bits
|
||
|
;
|
||
|
MORE32:
|
||
|
mov edx,eax
|
||
|
xor eax,eax
|
||
|
and cl,31
|
||
|
shl edx,cl
|
||
|
ret
|
||
|
|
||
|
;
|
||
|
; return 0 in edx:eax
|
||
|
;
|
||
|
RETZERO:
|
||
|
xor eax,eax
|
||
|
xor edx,edx
|
||
|
ret
|
||
|
|
||
|
__allshl ENDP
|
||
|
|
||
|
;***
|
||
|
;llshr.asm - long shift right
|
||
|
;
|
||
|
; Copyright (c) Microsoft Corporation. All rights reserved.
|
||
|
;
|
||
|
;Purpose:
|
||
|
; define signed long shift right routine
|
||
|
; __allshr
|
||
|
;
|
||
|
;Revision History:
|
||
|
; 11-??-83 HS initial version
|
||
|
; 11-30-83 DFW added medium model support
|
||
|
; 03-12-84 DFW broke apart; added long model support
|
||
|
; 06-01-84 RN modified to use cmacros
|
||
|
; 11-28-89 GJF Fixed copyright
|
||
|
; 11-19-93 SMK Modified to work on 64 bit integers
|
||
|
; 01-17-94 GJF Minor changes to build with NT's masm386.
|
||
|
; 07-08-94 GJF Faster, fatter version for NT.
|
||
|
; 07-13-94 GJF Further improvements from JonM.
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
|
||
|
;***
|
||
|
;llshr - long shift right
|
||
|
;
|
||
|
;Purpose:
|
||
|
; Does a signed Long Shift Right
|
||
|
; Shifts a long right any number of bits.
|
||
|
;
|
||
|
;Entry:
|
||
|
; EDX:EAX - long value to be shifted
|
||
|
; CL - number of bits to shift by
|
||
|
;
|
||
|
;Exit:
|
||
|
; EDX:EAX - shifted value
|
||
|
;
|
||
|
;Uses:
|
||
|
; CL is destroyed.
|
||
|
;
|
||
|
;Exceptions:
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
__allshr PROC NEAR
|
||
|
|
||
|
;
|
||
|
; Handle shifts of 64 bits or more (if shifting 64 bits or more, the result
|
||
|
; depends only on the high order bit of edx).
|
||
|
;
|
||
|
cmp cl,64
|
||
|
jae short RETSIGN
|
||
|
|
||
|
;
|
||
|
; Handle shifts of between 0 and 31 bits
|
||
|
;
|
||
|
cmp cl, 32
|
||
|
jae short MORE32
|
||
|
shrd eax,edx,cl
|
||
|
sar edx,cl
|
||
|
ret
|
||
|
|
||
|
;
|
||
|
; Handle shifts of between 32 and 63 bits
|
||
|
;
|
||
|
MORE32:
|
||
|
mov eax,edx
|
||
|
sar edx,31
|
||
|
and cl,31
|
||
|
sar eax,cl
|
||
|
ret
|
||
|
|
||
|
;
|
||
|
; Return double precision 0 or -1, depending on the sign of edx
|
||
|
;
|
||
|
RETSIGN:
|
||
|
sar edx,31
|
||
|
mov eax,edx
|
||
|
ret
|
||
|
|
||
|
__allshr ENDP
|
||
|
|
||
|
;***
|
||
|
;ulldiv.asm - unsigned long divide routine
|
||
|
;
|
||
|
; Copyright (c) Microsoft Corporation. All rights reserved.
|
||
|
;
|
||
|
;Purpose:
|
||
|
; defines the unsigned long divide routine
|
||
|
; __aulldiv
|
||
|
;
|
||
|
;Revision History:
|
||
|
; 11-29-83 DFW initial version
|
||
|
; 06-01-84 RN modified to use cmacros
|
||
|
; 10-23-87 SKS fixed off-by-1 error for dividend close to 2**32.
|
||
|
; 05-18-89 SKS Remove redundant "MOV SP,BP" from epilog
|
||
|
; 11-28-89 GJF Fixed copyright
|
||
|
; 11-19-93 SMK Modified to work on 64 bit integers
|
||
|
; 01-17-94 GJF Minor changes to build with NT's masm386.
|
||
|
; 07-22-94 GJF Use esp-relative addressing for args. Shortened
|
||
|
; conditional jumps. Also, don't use xchg to do a
|
||
|
; simple move between regs.
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
|
||
|
;***
|
||
|
;ulldiv - 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 (QWORD)
|
||
|
; 2nd pushed: dividend (QWORD)
|
||
|
;
|
||
|
;Exit:
|
||
|
; EDX:EAX contains the quotient (dividend/divisor)
|
||
|
; NOTE: this routine removes the parameters from the stack.
|
||
|
;
|
||
|
;Uses:
|
||
|
; ECX
|
||
|
;
|
||
|
;Exceptions:
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
__aulldiv PROC NEAR
|
||
|
|
||
|
push ebx
|
||
|
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 uldiv(a, b)):
|
||
|
;
|
||
|
; -----------------
|
||
|
; | |
|
||
|
; |---------------|
|
||
|
; | |
|
||
|
; |--divisor (b)--|
|
||
|
; | |
|
||
|
; |---------------|
|
||
|
; | |
|
||
|
; |--dividend (a)-|
|
||
|
; | |
|
||
|
; |---------------|
|
||
|
; | return addr** |
|
||
|
; |---------------|
|
||
|
; | EBX |
|
||
|
; |---------------|
|
||
|
; ESP---->| ESI |
|
||
|
; -----------------
|
||
|
;
|
||
|
|
||
|
DVND equ [esp + 12] ; stack address of dividend (a)
|
||
|
DVSR equ [esp + 20] ; 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 edx,ebx ; edx:eax <- quotient hi:quotient lo
|
||
|
jmp short L2 ; restore stack and return
|
||
|
|
||
|
;
|
||
|
; 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
|
||
|
L5:
|
||
|
xor edx,edx ; edx:eax <- quotient
|
||
|
mov eax,esi
|
||
|
|
||
|
;
|
||
|
; Just the cleanup left to do. edx:eax contains the quotient.
|
||
|
; Restore the saved registers and return.
|
||
|
;
|
||
|
|
||
|
L2:
|
||
|
|
||
|
pop esi
|
||
|
pop ebx
|
||
|
|
||
|
ret 16
|
||
|
|
||
|
__aulldiv ENDP
|
||
|
|
||
|
;***
|
||
|
;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.
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
|
||
|
;***
|
||
|
;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
|
||
|
|
||
|
;***
|
||
|
;ullrem.asm - unsigned long remainder routine
|
||
|
;
|
||
|
; Copyright (c) Microsoft Corporation. All rights reserved.
|
||
|
;
|
||
|
;Purpose:
|
||
|
; defines the unsigned long remainder routine
|
||
|
; __aullrem
|
||
|
;
|
||
|
;Revision History:
|
||
|
; 11-29-83 DFW initial version
|
||
|
; 06-01-84 RN modified to use cmacros
|
||
|
; 10-23-87 SKS fixed off-by-1 error for dividend close to 2**32.
|
||
|
; 05-18-89 SKS Remove redundant "MOV SP,BP" from epilog
|
||
|
; 11-28-89 GJF Fixed copyright
|
||
|
; 11-19-93 SMK Modified to work on 64 bit integers
|
||
|
; 01-17-94 GJF Minor changes to build with NT's masm386.
|
||
|
; 07-22-94 GJF Use esp-relative addressing for args. Shortened
|
||
|
; conditional jumps.
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
|
||
|
;***
|
||
|
;ullrem - unsigned long remainder
|
||
|
;
|
||
|
;Purpose:
|
||
|
; Does a unsigned long 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 remainder (dividend%divisor)
|
||
|
; NOTE: this routine removes the parameters from the stack.
|
||
|
;
|
||
|
;Uses:
|
||
|
; ECX
|
||
|
;
|
||
|
;Exceptions:
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
__aullrem PROC NEAR
|
||
|
|
||
|
push ebx
|
||
|
|
||
|
; 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 ullrem(a, b)):
|
||
|
;
|
||
|
; -----------------
|
||
|
; | |
|
||
|
; |---------------|
|
||
|
; | |
|
||
|
; |--divisor (b)--|
|
||
|
; | |
|
||
|
; |---------------|
|
||
|
; | |
|
||
|
; |--dividend (a)-|
|
||
|
; | |
|
||
|
; |---------------|
|
||
|
; | return addr** |
|
||
|
; |---------------|
|
||
|
; ESP---->| EBX |
|
||
|
; -----------------
|
||
|
;
|
||
|
|
||
|
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 ; edx <- remainder, eax <- quotient
|
||
|
mov eax,LOWORD(DVND) ; edx:eax <- remainder:lo word of dividend
|
||
|
div ecx ; edx <- final remainder
|
||
|
mov eax,edx ; edx:eax <- remainder
|
||
|
xor edx,edx
|
||
|
jmp short L2 ; restore stack and return
|
||
|
|
||
|
;
|
||
|
; 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
|
||
|
|
||
|
;
|
||
|
; 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.
|
||
|
;
|
||
|
|
||
|
mov ecx,eax ; save a copy of quotient in ECX
|
||
|
mul dword ptr HIWORD(DVSR)
|
||
|
xchg ecx,eax ; put partial product in ECX, get quotient in EAX
|
||
|
mul dword ptr 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're ok, otherwise
|
||
|
; subtract the original divisor from the result.
|
||
|
;
|
||
|
|
||
|
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're ok
|
||
|
cmp eax,LOWORD(DVND) ; hi words are equal, compare lo words
|
||
|
jbe short L5 ; if less or equal we're ok, else subtract
|
||
|
L4:
|
||
|
sub eax,LOWORD(DVSR) ; subtract divisor from result
|
||
|
sbb edx,HIWORD(DVSR)
|
||
|
L5:
|
||
|
|
||
|
;
|
||
|
; Calculate remainder by subtracting the result from the original dividend.
|
||
|
; Since the result is already in a register, we will perform the subtract in
|
||
|
; the opposite direction and negate the result to make it positive.
|
||
|
;
|
||
|
|
||
|
sub eax,LOWORD(DVND) ; subtract original dividend from result
|
||
|
sbb edx,HIWORD(DVND)
|
||
|
neg edx ; and negate it
|
||
|
neg eax
|
||
|
sbb edx,0
|
||
|
|
||
|
;
|
||
|
; Just the cleanup left to do. dx:ax contains the remainder.
|
||
|
; Restore the saved registers and return.
|
||
|
;
|
||
|
|
||
|
L2:
|
||
|
|
||
|
pop ebx
|
||
|
|
||
|
ret 16
|
||
|
|
||
|
__aullrem ENDP
|
||
|
|
||
|
;***
|
||
|
;ullshr.asm - long shift right
|
||
|
;
|
||
|
; Copyright (c) Microsoft Corporation. All rights reserved.
|
||
|
;
|
||
|
;Purpose:
|
||
|
; define unsigned long shift right routine
|
||
|
; __aullshr
|
||
|
;
|
||
|
;Revision History:
|
||
|
; 11-??-83 HS initial version
|
||
|
; 11-30-83 DFW added medium model support
|
||
|
; 03-12-84 DFW broke apart; added long model support
|
||
|
; 06-01-84 RN modified to use cmacros
|
||
|
; 11-28-89 GJF Fixed copyright
|
||
|
; 11-19-93 SMK Modified to work on 64 bit integers
|
||
|
; 01-17-94 GJF Minor changes to build with NT's masm386.
|
||
|
; 07-08-94 GJF Faster, fatter version for NT.
|
||
|
; 07-13-94 GJF Further improvements from JonM.
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
|
||
|
;***
|
||
|
;ullshr - long shift right
|
||
|
;
|
||
|
;Purpose:
|
||
|
; Does a unsigned Long Shift Right
|
||
|
; Shifts a long right any number of bits.
|
||
|
;
|
||
|
;Entry:
|
||
|
; EDX:EAX - long value to be shifted
|
||
|
; CL - number of bits to shift by
|
||
|
;
|
||
|
;Exit:
|
||
|
; EDX:EAX - shifted value
|
||
|
;
|
||
|
;Uses:
|
||
|
; CL is destroyed.
|
||
|
;
|
||
|
;Exceptions:
|
||
|
;
|
||
|
;*******************************************************************************
|
||
|
|
||
|
__aullshr PROC NEAR
|
||
|
|
||
|
;
|
||
|
; Handle shifts of 64 bits or more (if shifting 64 bits or more, the result
|
||
|
; depends only on the high order bit of edx).
|
||
|
;
|
||
|
cmp cl,64
|
||
|
jae short RETZERO
|
||
|
|
||
|
;
|
||
|
; Handle shifts of between 0 and 31 bits
|
||
|
;
|
||
|
cmp cl, 32
|
||
|
jae short MORE32
|
||
|
shrd eax,edx,cl
|
||
|
shr edx,cl
|
||
|
ret
|
||
|
|
||
|
;
|
||
|
; Handle shifts of between 32 and 63 bits
|
||
|
;
|
||
|
MORE32:
|
||
|
mov eax,edx
|
||
|
xor edx,edx
|
||
|
and cl,31
|
||
|
shr eax,cl
|
||
|
ret
|
||
|
|
||
|
;
|
||
|
; return 0 in edx:eax
|
||
|
;
|
||
|
RETZERO:
|
||
|
xor eax,eax
|
||
|
xor edx,edx
|
||
|
ret
|
||
|
|
||
|
__aullshr ENDP
|
||
|
|
||
|
end
|