1200 lines
33 KiB
NASM
1200 lines
33 KiB
NASM
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page ,132
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;---------------------------Module-Header-------------------------------;
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; Module Name: MATH.ASM
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;
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; Contains FIXED point math routines.
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;
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; Created: Sun 30-Aug-1987 19:28:30
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; Author: Charles Whitmer [chuckwh]
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;
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; Copyright (c) 1987 Microsoft Corporation
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;-----------------------------------------------------------------------;
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?WIN = 0
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?PLM = 1
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?NODATA = 0
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.286
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.xlist
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include cmacros.inc
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include windows.inc
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.list
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externA __WinFlags
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UQUAD struc
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uq0 dw ?
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uq1 dw ?
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uq2 dw ?
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uq3 dw ?
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UQUAD ends
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; The following two equates are just used as shorthand
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; for the "word ptr" and "byte ptr" overrides.
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wptr equ word ptr
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bptr equ byte ptr
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; The following structure should be used to access high and low
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; words of a DWORD. This means that "word ptr foo[2]" -> "foo.hi".
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LONG struc
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lo dw ?
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hi dw ?
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LONG ends
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EAXtoDXAX macro
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shld edx,eax,16 ; move HIWORD(eax) to dx
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endm
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DXAXtoEAX macro
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ror eax,16 ; xchg HIWORD(eax) and LOWORD(eax)
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shrd eax,edx,16 ; move LOWORD(edx) to HIWORD(eax)
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endm
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neg32 macro hi, lo
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neg lo
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adc hi,0 ; carry set unless lo zero
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neg hi
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endm
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ifndef SEGNAME
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SEGNAME equ <_TEXT>
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endif
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createSeg %SEGNAME, CodeSeg, word, public, CODE
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sBegin CodeSeg
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assumes cs,CodeSeg
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assumes ds,nothing
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assumes es,nothing
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;---------------------------Public-Routine------------------------------;
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; long muldiv32(long, long, long)
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;
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; multiples two 32 bit values and then divides the result by a third
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; 32 bit value with full 64 bit presision
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;
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; lResult = (lNumber * lNumerator) / lDenominator with correct rounding
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;
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; Entry:
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; lNumber = number to multiply by nNumerator
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; lNumerator = number to multiply by nNumber
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; lDenominator = number to divide the multiplication result by.
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;
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; Returns:
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; DX:AX = result of multiplication and division.
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;
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; Error Returns:
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; none
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; Registers Preserved:
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; DS,ES,SI,DI
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; History:
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; Fri 05-Oct-1990 -by- Rob Williams [Robwi]
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; Behavior consistent with MulDiv16 routine (signed, no int 0 on overflow)
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; Stole muldiv16 psuedocode
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;
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; Wed 14-June-1990 -by- Todd Laney [ToddLa]
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; converted it to 386/286 code. (by checking __WinFlags)
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;
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; Tue 08-May-1990 -by- Rob Williams [Robwi]
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; Wrote it.
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;
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;----------------------------Pseudo-Code--------------------------------;
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; long FAR PASCAL muldiv32(long, long, long)
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; long l;
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; long Numer;
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; long Denom;
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; {
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;
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; Sign = sign of Denom; // Sign will keep track of final sign //
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;
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;
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; if (Denom < 0)
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; {
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; negate Denom; // make sure Denom is positive //
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; }
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;
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; if (l < 0)
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; {
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; negate l; // make sure l is positive //
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; }
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;
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; make Sign reflect any sign change;
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;
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;
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; if (Numer < 0)
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; {
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; negate Numer; // make sure Numer is positive //
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; }
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;
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; make Sign reflect any sign change;
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;
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; Numer *= l;
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; Numer += (Denom/2); // adjust for rounding //
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;
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; if (overflow) // check for overflow, and handle divide by zero //
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; {
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; jump to md5;
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; }
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;
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; result = Numer/Denom;
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;
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; if (overflow) // check again to see if overflow occured //
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; {
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; jump to md5;
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; }
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;
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; if (Sign is negative) // put sign on the result //
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; {
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; negate result;
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; }
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;
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;md6:
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; return(result);
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;
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;md5:
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; DX = 7FFF; // indicate overflow by //
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; AX = 0xFFFF // return largest integer //
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; if (Sign is negative)
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; {
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; DX = 0x8000; // with correct sign //
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; AX = 0x0000;
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; }
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;
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; jump to md6;
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; }
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;-----------------------------------------------------------------------;
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assumes ds,nothing
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assumes es,nothing
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cProc muldiv32,<PUBLIC,FAR,NODATA,NONWIN>,<>
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; ParmD lNumber
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; ParmD lNumerator
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; ParmD lDenominator
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cBegin <nogen>
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mov ax,__WinFlags
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test ax,WF_CPU286+WF_CPU086+WF_CPU186
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jz md32_1
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jmp NEAR PTR muldiv32_286
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md32_1:
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errn$ muldiv32_386
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cEnd <nogen>
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cProc muldiv32_386,<PUBLIC,FAR,NODATA,NONWIN>,<>
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ParmD lNumber
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ParmD lNumerator
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ParmD lDenominator
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cBegin
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.386
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mov ebx,lDenominator ; get the demoninator
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mov ecx,ebx ; ECX holds the final sign in hiword
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or ebx,ebx ; ensure the denominator is positive
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jns md386_1
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neg ebx
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md386_1:
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mov eax,lNumber ; get the long we are multiplying
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xor ecx,eax ; make ECX reflect any sign change
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or eax,eax ; ensure the long is positive
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jns md386_2
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neg eax
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md386_2:
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mov edx,lNumerator ; get the numerator
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xor ecx,edx ; make ECX reflect any sign change
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or edx,edx ; ensure the numerator is positive
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jns md386_3
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neg edx
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md386_3:
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mul edx ; multiply
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mov cx,bx ; get half of the demoninator to adjust for rounding
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sar ebx,1
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add eax,ebx ; adjust for possible rounding error
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adc edx,0 ; this is really a long addition
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sal ebx,1 ; restore the demoninator
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or bx,cx ; fix bottom bit
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cmp edx,ebx ; check for overflow
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jae md386_5 ; (ae handles /0 case)
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div ebx ; divide
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or eax,eax ; If sign is set, then overflow occured
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js md386_5 ; Overflow.
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or ecx,ecx ; put the sign on the result
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jns md386_6
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neg eax
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md386_6:
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EAXtoDXAX ; convert eax to dx:ax for 16 bit programs
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.286
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cEnd
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.386
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md386_5:
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mov eax,7FFFFFFFh ; return the largest integer
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or ecx,ecx ; with the correct sign
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jns md386_6
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not eax
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jmp md386_6
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.286
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cProc muldiv32_286,<PUBLIC,FAR,NODATA,NONWIN>,<di,si>
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ParmD lNumber
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ParmD lNumerator
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ParmD lDenominator
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LocalW wSign
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cBegin
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mov dx,lDenominator.hi ; get the demoninator
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mov si,dx ; SI holds the final sign
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or dx,dx ; ensure the denominator is positive
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jns md286_1
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neg32 dx, lDenominator.lo
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mov lDenominator.hi, dx
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md286_1:
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mov ax,lNumber.lo ; get the long we are multiplying
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mov dx,lNumber.hi
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xor si,dx ; make ECX reflect any sign change
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or dx,dx ; ensure the long is positive
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jns md286_2
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neg32 dx, ax
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md286_2:
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mov bx,lNumerator.lo ; get the numerator
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mov cx,lNumerator.hi ; get the numerator
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xor si,cx ; make ECX reflect any sign change
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or cx,cx ; ensure the numerator is positive
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jns md286_3
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neg32 cx, bx
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md286_3:
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mov wSign, si ; save sign
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call dmul ; multiply (result in dx:cx:bx:ax)
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mov si, lDenominator.hi
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mov di, lDenominator.lo
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sar si, 1 ; get half of the demoninator
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rcr di, 1 ; to adjust for rounding
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add ax, di ; adjust for possible rounding error
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adc bx, si
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adc cx, 0
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adc dx, 0 ; this is really a long addition
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sal di, 1 ; restore the demoninator
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rcl si, 1
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or di, lDenominator.lo ; fix bottom bit
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cmp dx, si ; begin overflow check (unsigned for div 0 check)
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ja md286_5 ; overflow
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jb md286_7 ; no overflow
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cmp cx, di
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jae md286_5 ; overflow
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md286_7:
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call qdiv ; DX:AX is quotient
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or dx,dx ; If sign is set, then overflow occured
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js md286_5 ; Overflow.
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mov cx, wSign
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or cx,cx ; put the sign on the result
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jns md286_6
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neg32 dx,ax
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md286_6:
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cEnd
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md286_5:
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mov cx, wSign
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mov ax, 0FFFFh ; return the largest integer
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mov dx, 7FFFh
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or cx, cx ; with the correct sign
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jns md286_6
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not dx
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not ax
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jmp md286_6
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cProc muldivru32,<PUBLIC,FAR,NODATA,NONWIN>,<>
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; ParmD lNumber
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; ParmD lNumerator
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; ParmD lDenominator
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cBegin <nogen>
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mov ax,__WinFlags
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test ax,WF_CPU286+WF_CPU086+WF_CPU186
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jz mdru32_1
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jmp NEAR PTR muldivru32_286
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mdru32_1:
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errn$ muldivru32_386
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cEnd <nogen>
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cProc muldivru32_386,<PUBLIC,FAR,NODATA,NONWIN>,<>
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ParmD lNumber
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ParmD lNumerator
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ParmD lDenominator
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cBegin
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.386
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mov ebx,lDenominator ; get the demoninator
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mov ecx,ebx ; ECX holds the final sign in hiword
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or ebx,ebx ; ensure the denominator is positive
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jns mdru386_1
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neg ebx
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mdru386_1:
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mov eax,lNumber ; get the long we are multiplying
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xor ecx,eax ; make ECX reflect any sign change
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or eax,eax ; ensure the long is positive
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jns mdru386_2
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neg eax
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mdru386_2:
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mov edx,lNumerator ; get the numerator
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xor ecx,edx ; make ECX reflect any sign change
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or edx,edx ; ensure the numerator is positive
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jns mdru386_3
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neg edx
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mdru386_3:
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mul edx ; multiply
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mov cx,bx ; get demoninator - 1 to adjust for rounding
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sub ebx,1
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add eax,ebx ; adjust for possible rounding error
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adc edx,0 ; this is really a long addition
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add ebx,1 ; restore the demoninator
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cmp edx,ebx ; check for overflow
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jae mdru386_5 ; (ae handles /0 case)
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div ebx ; divide
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or eax,eax ; If sign is set, then overflow occured
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js mdru386_5 ; Overflow.
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or ecx,ecx ; put the sign on the result
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jns mdru386_6
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neg eax
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mdru386_6:
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EAXtoDXAX ; convert eax to dx:ax for 16 bit programs
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.286
|
|||
|
|
cEnd
|
|||
|
|
.386
|
|||
|
|
|
|||
|
|
mdru386_5:
|
|||
|
|
mov eax,7FFFFFFFh ; return the largest integer
|
|||
|
|
or ecx,ecx ; with the correct sign
|
|||
|
|
jns mdru386_6
|
|||
|
|
not eax
|
|||
|
|
jmp mdru386_6
|
|||
|
|
|
|||
|
|
.286
|
|||
|
|
|
|||
|
|
cProc muldivru32_286,<PUBLIC,FAR,NODATA,NONWIN>,<di,si>
|
|||
|
|
ParmD lNumber
|
|||
|
|
ParmD lNumerator
|
|||
|
|
ParmD lDenominator
|
|||
|
|
LocalW wSign
|
|||
|
|
|
|||
|
|
cBegin
|
|||
|
|
|
|||
|
|
mov dx,lDenominator.hi ; get the demoninator
|
|||
|
|
mov si,dx ; SI holds the final sign
|
|||
|
|
or dx,dx ; ensure the denominator is positive
|
|||
|
|
jns mdru286_1
|
|||
|
|
neg32 dx, lDenominator.lo
|
|||
|
|
mov lDenominator.hi, dx
|
|||
|
|
|
|||
|
|
|
|||
|
|
mdru286_1:
|
|||
|
|
mov ax,lNumber.lo ; get the long we are multiplying
|
|||
|
|
mov dx,lNumber.hi
|
|||
|
|
xor si,dx ; make ECX reflect any sign change
|
|||
|
|
or dx,dx ; ensure the long is positive
|
|||
|
|
jns mdru286_2
|
|||
|
|
neg32 dx, ax
|
|||
|
|
|
|||
|
|
mdru286_2:
|
|||
|
|
mov bx,lNumerator.lo ; get the numerator
|
|||
|
|
mov cx,lNumerator.hi ; get the numerator
|
|||
|
|
xor si,cx ; make ECX reflect any sign change
|
|||
|
|
or cx,cx ; ensure the numerator is positive
|
|||
|
|
jns mdru286_3
|
|||
|
|
neg32 cx, bx
|
|||
|
|
|
|||
|
|
mdru286_3:
|
|||
|
|
mov wSign, si ; save sign
|
|||
|
|
call dmul ; multiply (result in dx:cx:bx:ax)
|
|||
|
|
mov si, lDenominator.hi
|
|||
|
|
mov di, lDenominator.lo
|
|||
|
|
sub di, 1 ; get demoninator - 1
|
|||
|
|
sbb si, 0 ; to adjust for rounding
|
|||
|
|
add ax, di ; adjust for possible rounding error
|
|||
|
|
adc bx, si
|
|||
|
|
adc cx, 0
|
|||
|
|
adc dx, 0 ; this is really a long addition
|
|||
|
|
|
|||
|
|
add di, 1 ; restore the demoninator
|
|||
|
|
adc si, 0
|
|||
|
|
|
|||
|
|
cmp dx, si ; begin overflow check (unsigned for div 0 check)
|
|||
|
|
ja mdru286_5 ; overflow
|
|||
|
|
jb mdru286_7 ; no overflow
|
|||
|
|
cmp cx, di
|
|||
|
|
jae mdru286_5 ; overflow
|
|||
|
|
|
|||
|
|
mdru286_7:
|
|||
|
|
call qdiv ; DX:AX is quotient
|
|||
|
|
or dx,dx ; If sign is set, then overflow occured
|
|||
|
|
js mdru286_5 ; Overflow.
|
|||
|
|
mov cx, wSign
|
|||
|
|
or cx,cx ; put the sign on the result
|
|||
|
|
jns mdru286_6
|
|||
|
|
neg32 dx,ax
|
|||
|
|
|
|||
|
|
mdru286_6:
|
|||
|
|
|
|||
|
|
cEnd
|
|||
|
|
|
|||
|
|
mdru286_5:
|
|||
|
|
mov cx, wSign
|
|||
|
|
mov ax, 0FFFFh ; return the largest integer
|
|||
|
|
mov dx, 7FFFh
|
|||
|
|
or cx, cx ; with the correct sign
|
|||
|
|
jns mdru286_6
|
|||
|
|
not dx
|
|||
|
|
not ax
|
|||
|
|
jmp mdru286_6
|
|||
|
|
|
|||
|
|
cProc muldivrd32,<PUBLIC,FAR,NODATA,NONWIN>,<>
|
|||
|
|
; ParmD lNumber
|
|||
|
|
; ParmD lNumerator
|
|||
|
|
; ParmD lDenominator
|
|||
|
|
cBegin <nogen>
|
|||
|
|
mov ax,__WinFlags
|
|||
|
|
test ax,WF_CPU286+WF_CPU086+WF_CPU186
|
|||
|
|
jz mdrd32_1
|
|||
|
|
jmp NEAR PTR muldivrd32_286
|
|||
|
|
mdrd32_1:
|
|||
|
|
errn$ muldivrd32_386
|
|||
|
|
cEnd <nogen>
|
|||
|
|
|
|||
|
|
cProc muldivrd32_386,<PUBLIC,FAR,NODATA,NONWIN>,<>
|
|||
|
|
ParmD lNumber
|
|||
|
|
ParmD lNumerator
|
|||
|
|
ParmD lDenominator
|
|||
|
|
cBegin
|
|||
|
|
.386
|
|||
|
|
|
|||
|
|
|
|||
|
|
mov ebx,lDenominator ; get the demoninator
|
|||
|
|
mov ecx,ebx ; ECX holds the final sign in hiword
|
|||
|
|
or ebx,ebx ; ensure the denominator is positive
|
|||
|
|
jns mdrd386_1
|
|||
|
|
neg ebx
|
|||
|
|
|
|||
|
|
mdrd386_1:
|
|||
|
|
mov eax,lNumber ; get the long we are multiplying
|
|||
|
|
xor ecx,eax ; make ECX reflect any sign change
|
|||
|
|
or eax,eax ; ensure the long is positive
|
|||
|
|
jns mdrd386_2
|
|||
|
|
neg eax
|
|||
|
|
|
|||
|
|
mdrd386_2:
|
|||
|
|
mov edx,lNumerator ; get the numerator
|
|||
|
|
xor ecx,edx ; make ECX reflect any sign change
|
|||
|
|
or edx,edx ; ensure the numerator is positive
|
|||
|
|
jns mdrd386_3
|
|||
|
|
neg edx
|
|||
|
|
|
|||
|
|
mdrd386_3:
|
|||
|
|
mul edx ; multiply
|
|||
|
|
|
|||
|
|
div ebx ; divide
|
|||
|
|
or eax,eax ; If sign is set, then overflow occured
|
|||
|
|
js mdrd386_5 ; Overflow.
|
|||
|
|
or ecx,ecx ; put the sign on the result
|
|||
|
|
jns mdrd386_6
|
|||
|
|
neg eax
|
|||
|
|
|
|||
|
|
mdrd386_6:
|
|||
|
|
EAXtoDXAX ; convert eax to dx:ax for 16 bit programs
|
|||
|
|
|
|||
|
|
.286
|
|||
|
|
cEnd
|
|||
|
|
.386
|
|||
|
|
|
|||
|
|
mdrd386_5:
|
|||
|
|
mov eax,7FFFFFFFh ; return the largest integer
|
|||
|
|
or ecx,ecx ; with the correct sign
|
|||
|
|
jns mdrd386_6
|
|||
|
|
not eax
|
|||
|
|
jmp mdrd386_6
|
|||
|
|
|
|||
|
|
.286
|
|||
|
|
|
|||
|
|
cProc muldivrd32_286,<PUBLIC,FAR,NODATA,NONWIN>,<di,si>
|
|||
|
|
ParmD lNumber
|
|||
|
|
ParmD lNumerator
|
|||
|
|
ParmD lDenominator
|
|||
|
|
LocalW wSign
|
|||
|
|
|
|||
|
|
cBegin
|
|||
|
|
|
|||
|
|
mov dx,lDenominator.hi ; get the demoninator
|
|||
|
|
mov si,dx ; SI holds the final sign
|
|||
|
|
or dx,dx ; ensure the denominator is positive
|
|||
|
|
jns mdrd286_1
|
|||
|
|
neg32 dx, lDenominator.lo
|
|||
|
|
mov lDenominator.hi, dx
|
|||
|
|
|
|||
|
|
|
|||
|
|
mdrd286_1:
|
|||
|
|
mov ax,lNumber.lo ; get the long we are multiplying
|
|||
|
|
mov dx,lNumber.hi
|
|||
|
|
xor si,dx ; make ECX reflect any sign change
|
|||
|
|
or dx,dx ; ensure the long is positive
|
|||
|
|
jns mdrd286_2
|
|||
|
|
neg32 dx, ax
|
|||
|
|
|
|||
|
|
mdrd286_2:
|
|||
|
|
mov bx,lNumerator.lo ; get the numerator
|
|||
|
|
mov cx,lNumerator.hi ; get the numerator
|
|||
|
|
xor si,cx ; make ECX reflect any sign change
|
|||
|
|
or cx,cx ; ensure the numerator is positive
|
|||
|
|
jns mdrd286_3
|
|||
|
|
neg32 cx, bx
|
|||
|
|
|
|||
|
|
mdrd286_3:
|
|||
|
|
mov wSign, si ; save sign
|
|||
|
|
call dmul ; multiply (result in dx:cx:bx:ax)
|
|||
|
|
mov si, lDenominator.hi
|
|||
|
|
mov di, lDenominator.lo
|
|||
|
|
|
|||
|
|
cmp dx, si ; begin overflow check (unsigned for div 0 check)
|
|||
|
|
ja mdrd286_5 ; overflow
|
|||
|
|
jb mdrd286_7 ; no overflow
|
|||
|
|
cmp cx, di
|
|||
|
|
jae mdrd286_5 ; overflow
|
|||
|
|
|
|||
|
|
mdrd286_7:
|
|||
|
|
call qdiv ; DX:AX is quotient
|
|||
|
|
or dx,dx ; If sign is set, then overflow occured
|
|||
|
|
js mdrd286_5 ; Overflow.
|
|||
|
|
mov cx, wSign
|
|||
|
|
or cx,cx ; put the sign on the result
|
|||
|
|
jns mdrd286_6
|
|||
|
|
neg32 dx,ax
|
|||
|
|
|
|||
|
|
mdrd286_6:
|
|||
|
|
|
|||
|
|
cEnd
|
|||
|
|
|
|||
|
|
mdrd286_5:
|
|||
|
|
mov cx, wSign
|
|||
|
|
mov ax, 0FFFFh ; return the largest integer
|
|||
|
|
mov dx, 7FFFh
|
|||
|
|
or cx, cx ; with the correct sign
|
|||
|
|
jns mdrd286_6
|
|||
|
|
not dx
|
|||
|
|
not ax
|
|||
|
|
jmp mdrd286_6
|
|||
|
|
|
|||
|
|
|
|||
|
|
;---------------------------Public-Routine------------------------------;
|
|||
|
|
; idmul
|
|||
|
|
;
|
|||
|
|
; This is an extended precision multiply routine, intended to emulate
|
|||
|
|
; 80386 imul instruction.
|
|||
|
|
;
|
|||
|
|
; Entry:
|
|||
|
|
; DX:AX = LONG
|
|||
|
|
; CX:BX = LONG
|
|||
|
|
; Returns:
|
|||
|
|
; DX:CX:BX:AX = QUAD product
|
|||
|
|
; Registers Destroyed:
|
|||
|
|
; none
|
|||
|
|
; History:
|
|||
|
|
; Tue 26-Jan-1988 23:47:02 -by- Charles Whitmer [chuckwh]
|
|||
|
|
; Wrote it.
|
|||
|
|
;-----------------------------------------------------------------------;
|
|||
|
|
assumes ds,nothing
|
|||
|
|
assumes es,nothing
|
|||
|
|
|
|||
|
|
cProc idmul,<PUBLIC,NEAR>,<si,di>
|
|||
|
|
localQ qTemp
|
|||
|
|
cBegin
|
|||
|
|
|
|||
|
|
; put one argument in safe registers
|
|||
|
|
|
|||
|
|
mov si,dx
|
|||
|
|
mov di,ax
|
|||
|
|
|
|||
|
|
; do the low order unsigned product
|
|||
|
|
|
|||
|
|
mul bx
|
|||
|
|
mov qTemp.uq0,ax
|
|||
|
|
mov qTemp.uq1,dx
|
|||
|
|
|
|||
|
|
; do the high order signed product
|
|||
|
|
|
|||
|
|
mov ax,si
|
|||
|
|
imul cx
|
|||
|
|
mov qTemp.uq2,ax
|
|||
|
|
mov qTemp.uq3,dx
|
|||
|
|
|
|||
|
|
; do a mixed product
|
|||
|
|
|
|||
|
|
mov ax,si
|
|||
|
|
cwd
|
|||
|
|
and dx,bx
|
|||
|
|
sub qTemp.uq2,dx ; adjust for sign bit
|
|||
|
|
sbb qTemp.uq3,0
|
|||
|
|
mul bx
|
|||
|
|
add qTemp.uq1,ax
|
|||
|
|
adc qTemp.uq2,dx
|
|||
|
|
adc qTemp.uq3,0
|
|||
|
|
|
|||
|
|
; do the other mixed product
|
|||
|
|
|
|||
|
|
mov ax,cx
|
|||
|
|
cwd
|
|||
|
|
and dx,di
|
|||
|
|
sub qTemp.uq2,dx
|
|||
|
|
sbb qTemp.uq3,0
|
|||
|
|
mul di
|
|||
|
|
|
|||
|
|
; pick up the answer
|
|||
|
|
|
|||
|
|
mov bx,ax
|
|||
|
|
mov cx,dx
|
|||
|
|
xor dx,dx
|
|||
|
|
|
|||
|
|
mov ax,qTemp.uq0
|
|||
|
|
add bx,qTemp.uq1
|
|||
|
|
adc cx,qTemp.uq2
|
|||
|
|
adc dx,qTemp.uq3
|
|||
|
|
cEnd
|
|||
|
|
|
|||
|
|
;---------------------------Public-Routine------------------------------;
|
|||
|
|
; dmul
|
|||
|
|
;
|
|||
|
|
; This is an extended precision multiply routine, intended to emulate
|
|||
|
|
; 80386 mul instruction.
|
|||
|
|
;
|
|||
|
|
; Entry:
|
|||
|
|
; DX:AX = LONG
|
|||
|
|
; CX:BX = LONG
|
|||
|
|
; Returns:
|
|||
|
|
; DX:CX:BX:AX = QUAD product
|
|||
|
|
; Registers Destroyed:
|
|||
|
|
; none
|
|||
|
|
; History:
|
|||
|
|
; Tue 02-Feb-1988 10:50:44 -by- Charles Whitmer [chuckwh]
|
|||
|
|
; Copied from idmul and modified.
|
|||
|
|
;-----------------------------------------------------------------------;
|
|||
|
|
assumes ds,nothing
|
|||
|
|
assumes es,nothing
|
|||
|
|
|
|||
|
|
cProc dmul,<PUBLIC,NEAR>,<si,di>
|
|||
|
|
localQ qTemp
|
|||
|
|
cBegin
|
|||
|
|
|
|||
|
|
; put one argument in safe registers
|
|||
|
|
|
|||
|
|
mov si,dx
|
|||
|
|
mov di,ax
|
|||
|
|
|
|||
|
|
; do the low order product
|
|||
|
|
|
|||
|
|
mul bx
|
|||
|
|
mov qTemp.uq0,ax
|
|||
|
|
mov qTemp.uq1,dx
|
|||
|
|
|
|||
|
|
; do the high order product
|
|||
|
|
|
|||
|
|
mov ax,si
|
|||
|
|
mul cx
|
|||
|
|
mov qTemp.uq2,ax
|
|||
|
|
mov qTemp.uq3,dx
|
|||
|
|
|
|||
|
|
; do a mixed product
|
|||
|
|
|
|||
|
|
mov ax,si
|
|||
|
|
mul bx
|
|||
|
|
add qTemp.uq1,ax
|
|||
|
|
adc qTemp.uq2,dx
|
|||
|
|
adc qTemp.uq3,0
|
|||
|
|
|
|||
|
|
; do the other mixed product
|
|||
|
|
|
|||
|
|
mov ax,cx
|
|||
|
|
mul di
|
|||
|
|
|
|||
|
|
; pick up the answer
|
|||
|
|
|
|||
|
|
mov bx,ax
|
|||
|
|
mov cx,dx
|
|||
|
|
xor dx,dx
|
|||
|
|
mov ax,qTemp.uq0
|
|||
|
|
add bx,qTemp.uq1
|
|||
|
|
adc cx,qTemp.uq2
|
|||
|
|
adc dx,qTemp.uq3
|
|||
|
|
cEnd
|
|||
|
|
|
|||
|
|
;---------------------------Public-Routine------------------------------;
|
|||
|
|
; iqdiv
|
|||
|
|
;
|
|||
|
|
; This is an extended precision divide routine which is intended to
|
|||
|
|
; emulate the 80386 64 bit/32 bit IDIV instruction. We don't have the
|
|||
|
|
; 32 bit registers to work with, but we pack the arguments and results
|
|||
|
|
; into what registers we do have. We will divide two signed numbers
|
|||
|
|
; and return the quotient and remainder. We will do INT 0 for overflow,
|
|||
|
|
; just like the 80386 microcode. This should ease conversion later.
|
|||
|
|
;
|
|||
|
|
; This routine just keeps track of the signs and calls qdiv to do the
|
|||
|
|
; real work.
|
|||
|
|
;
|
|||
|
|
; Entry:
|
|||
|
|
; DX:CX:BX:AX = QUAD Numerator
|
|||
|
|
; SI:DI = LONG Denominator
|
|||
|
|
; Returns:
|
|||
|
|
; DX:AX = quotient
|
|||
|
|
; CX:BX = remainder
|
|||
|
|
; Registers Destroyed:
|
|||
|
|
; DI,SI
|
|||
|
|
; History:
|
|||
|
|
; Tue 26-Jan-1988 02:49:19 -by- Charles Whitmer [chuckwh]
|
|||
|
|
; Wrote it.
|
|||
|
|
;-----------------------------------------------------------------------;
|
|||
|
|
|
|||
|
|
WIMP equ 1
|
|||
|
|
|
|||
|
|
IQDIV_RESULT_SIGN equ 1
|
|||
|
|
IQDIV_REM_SIGN equ 2
|
|||
|
|
|
|||
|
|
assumes ds,nothing
|
|||
|
|
assumes es,nothing
|
|||
|
|
|
|||
|
|
cProc iqdiv,<PUBLIC,NEAR>
|
|||
|
|
localB flags
|
|||
|
|
cBegin
|
|||
|
|
mov flags,0
|
|||
|
|
|
|||
|
|
; take the absolute value of the denominator
|
|||
|
|
|
|||
|
|
or si,si
|
|||
|
|
jns denominator_is_cool
|
|||
|
|
xor flags,IQDIV_RESULT_SIGN
|
|||
|
|
neg di
|
|||
|
|
adc si,0
|
|||
|
|
neg si
|
|||
|
|
denominator_is_cool:
|
|||
|
|
|
|||
|
|
; take the absolute value of the denominator
|
|||
|
|
|
|||
|
|
or dx,dx
|
|||
|
|
jns numerator_is_cool
|
|||
|
|
xor flags,IQDIV_RESULT_SIGN + IQDIV_REM_SIGN
|
|||
|
|
not ax
|
|||
|
|
not bx
|
|||
|
|
not cx
|
|||
|
|
not dx
|
|||
|
|
add ax,1
|
|||
|
|
adc bx,0
|
|||
|
|
adc cx,0
|
|||
|
|
adc dx,0
|
|||
|
|
numerator_is_cool:
|
|||
|
|
|
|||
|
|
; do the unsigned division
|
|||
|
|
|
|||
|
|
call qdiv
|
|||
|
|
ifdef WIMP
|
|||
|
|
jo iqdiv_exit
|
|||
|
|
endif
|
|||
|
|
|
|||
|
|
; check for overflow
|
|||
|
|
|
|||
|
|
or dx,dx
|
|||
|
|
jns have_a_bit_to_spare
|
|||
|
|
ifdef WIMP
|
|||
|
|
mov ax,8000h
|
|||
|
|
dec ah
|
|||
|
|
jmp short iqdiv_exit
|
|||
|
|
else
|
|||
|
|
int 0 ; You're toast, Jack!
|
|||
|
|
endif
|
|||
|
|
have_a_bit_to_spare:
|
|||
|
|
|
|||
|
|
; negate the result, if required
|
|||
|
|
|
|||
|
|
test flags,IQDIV_RESULT_SIGN
|
|||
|
|
jz result_is_done
|
|||
|
|
neg ax
|
|||
|
|
adc dx,0
|
|||
|
|
neg dx
|
|||
|
|
result_is_done:
|
|||
|
|
|
|||
|
|
; negate the remainder, if required
|
|||
|
|
|
|||
|
|
test flags,IQDIV_REM_SIGN
|
|||
|
|
jz remainder_is_done
|
|||
|
|
neg bx
|
|||
|
|
adc cx,0
|
|||
|
|
neg cx
|
|||
|
|
remainder_is_done:
|
|||
|
|
iqdiv_exit:
|
|||
|
|
cEnd
|
|||
|
|
|
|||
|
|
;---------------------------Public-Routine------------------------------;
|
|||
|
|
; qdiv
|
|||
|
|
;
|
|||
|
|
; This is an extended precision divide routine which is intended to
|
|||
|
|
; emulate the 80386 64 bit/32 bit DIV instruction. We don't have the
|
|||
|
|
; 32 bit registers to work with, but we pack the arguments and results
|
|||
|
|
; into what registers we do have. We will divide two unsigned numbers
|
|||
|
|
; and return the quotient and remainder. We will do INT 0 for overflow,
|
|||
|
|
; just like the 80386 microcode. This should ease conversion later.
|
|||
|
|
;
|
|||
|
|
; Entry:
|
|||
|
|
; DX:CX:BX:AX = UQUAD Numerator
|
|||
|
|
; SI:DI = ULONG Denominator
|
|||
|
|
; Returns:
|
|||
|
|
; DX:AX = quotient
|
|||
|
|
; CX:BX = remainder
|
|||
|
|
; Registers Destroyed:
|
|||
|
|
; none
|
|||
|
|
; History:
|
|||
|
|
; Tue 26-Jan-1988 00:02:09 -by- Charles Whitmer [chuckwh]
|
|||
|
|
; Wrote it.
|
|||
|
|
;-----------------------------------------------------------------------;
|
|||
|
|
assumes ds,nothing
|
|||
|
|
assumes es,nothing
|
|||
|
|
|
|||
|
|
cProc qdiv,<PUBLIC,NEAR>,<si,di>
|
|||
|
|
localQ uqNumerator
|
|||
|
|
localD ulDenominator
|
|||
|
|
localD ulQuotient
|
|||
|
|
localW cShift
|
|||
|
|
cBegin
|
|||
|
|
|
|||
|
|
; stuff the quad word into local memory
|
|||
|
|
|
|||
|
|
mov uqNumerator.uq0,ax
|
|||
|
|
mov uqNumerator.uq1,bx
|
|||
|
|
mov uqNumerator.uq2,cx
|
|||
|
|
mov uqNumerator.uq3,dx
|
|||
|
|
|
|||
|
|
|
|||
|
|
; check for overflow
|
|||
|
|
|
|||
|
|
qdiv_restart:
|
|||
|
|
cmp si,dx
|
|||
|
|
ja qdiv_no_overflow
|
|||
|
|
jb qdiv_overflow
|
|||
|
|
cmp di,cx
|
|||
|
|
ja qdiv_no_overflow
|
|||
|
|
qdiv_overflow:
|
|||
|
|
ifdef WIMP
|
|||
|
|
mov ax,8000h
|
|||
|
|
dec ah
|
|||
|
|
jmp qdiv_exit
|
|||
|
|
else
|
|||
|
|
int 0 ; You're toast, Jack!
|
|||
|
|
jmp qdiv_restart
|
|||
|
|
endif
|
|||
|
|
qdiv_no_overflow:
|
|||
|
|
|
|||
|
|
; check for a zero Numerator
|
|||
|
|
|
|||
|
|
or ax,bx
|
|||
|
|
or ax,cx
|
|||
|
|
or ax,dx
|
|||
|
|
jz qdiv_exit_relay ; quotient = remainder = 0
|
|||
|
|
|
|||
|
|
; handle the special case when the denominator lives in the low word
|
|||
|
|
|
|||
|
|
or si,si
|
|||
|
|
jnz not_that_special
|
|||
|
|
|
|||
|
|
; calculate (DX=0):CX:BX:uqNumerator.uq0 / (SI=0):DI
|
|||
|
|
|
|||
|
|
cmp di,1 ; separate out the trivial case
|
|||
|
|
jz div_by_one
|
|||
|
|
xchg dx,cx ; CX = remainder.hi = 0
|
|||
|
|
mov ax,bx
|
|||
|
|
div di
|
|||
|
|
mov bx,ax ; BX = quotient.hi
|
|||
|
|
mov ax,uqNumerator.uq0
|
|||
|
|
div di ; AX = quotient.lo
|
|||
|
|
xchg bx,dx ; DX = quotient.hi, BX = remainder.lo
|
|||
|
|
ifdef WIMP
|
|||
|
|
or ax,ax ; clear OF
|
|||
|
|
endif
|
|||
|
|
qdiv_exit_relay:
|
|||
|
|
jmp qdiv_exit
|
|||
|
|
|
|||
|
|
; calculate (DX=0):(CX=0):BX:uqNumerator.uq0 / (SI=0):(DI=1)
|
|||
|
|
|
|||
|
|
div_by_one:
|
|||
|
|
xchg dx,bx ; DX = quotient.hi, BX = remainder.lo = 0
|
|||
|
|
mov ax,uqNumerator.uq0 ; AX = quotient.lo
|
|||
|
|
jmp qdiv_exit
|
|||
|
|
not_that_special:
|
|||
|
|
|
|||
|
|
; handle the special case when the denominator lives in the high word
|
|||
|
|
|
|||
|
|
or di,di
|
|||
|
|
jnz not_this_special_either
|
|||
|
|
|
|||
|
|
; calculate DX:CX:BX:uqNumerator.uq0 / SI:(DI=0)
|
|||
|
|
|
|||
|
|
cmp si,1 ; separate out the trivial case
|
|||
|
|
jz div_by_10000h
|
|||
|
|
mov ax,cx
|
|||
|
|
div si
|
|||
|
|
mov cx,ax ; CX = quotient.hi
|
|||
|
|
mov ax,bx
|
|||
|
|
div si ; AX = quotient.lo
|
|||
|
|
xchg cx,dx ; DX = quotient.hi, CX = remainder.hi
|
|||
|
|
mov bx,uqNumerator.uq0 ; BX = remainder.lo
|
|||
|
|
ifdef WIMP
|
|||
|
|
or ax,ax ; clear OF
|
|||
|
|
endif
|
|||
|
|
jmp qdiv_exit
|
|||
|
|
|
|||
|
|
; calculate (DX=0):CX:BX:uqNumerator.uq0 / (SI=1):(DI=0)
|
|||
|
|
|
|||
|
|
div_by_10000h:
|
|||
|
|
xchg cx,dx ; DX = quotient.hi, CX = remainder.hi = 0
|
|||
|
|
mov ax,bx ; AX = quotient.lo
|
|||
|
|
mov bx,uqNumerator.uq0 ; BX = remainder.lo
|
|||
|
|
jmp qdiv_exit
|
|||
|
|
not_this_special_either:
|
|||
|
|
|
|||
|
|
; normalize the denominator
|
|||
|
|
|
|||
|
|
mov dx,si
|
|||
|
|
mov ax,di
|
|||
|
|
call ulNormalize ; DX:AX = normalized denominator
|
|||
|
|
mov cShift,cx ; CX < 16
|
|||
|
|
mov ulDenominator.lo,ax
|
|||
|
|
mov ulDenominator.hi,dx
|
|||
|
|
|
|||
|
|
|
|||
|
|
; shift the Numerator by the same amount
|
|||
|
|
|
|||
|
|
jcxz numerator_is_shifted
|
|||
|
|
mov si,-1
|
|||
|
|
shl si,cl
|
|||
|
|
not si ; SI = mask
|
|||
|
|
mov bx,uqNumerator.uq3
|
|||
|
|
shl bx,cl
|
|||
|
|
mov ax,uqNumerator.uq2
|
|||
|
|
rol ax,cl
|
|||
|
|
mov di,si
|
|||
|
|
and di,ax
|
|||
|
|
or bx,di
|
|||
|
|
mov uqNumerator.uq3,bx
|
|||
|
|
xor ax,di
|
|||
|
|
mov bx,uqNumerator.uq1
|
|||
|
|
rol bx,cl
|
|||
|
|
mov di,si
|
|||
|
|
and di,bx
|
|||
|
|
or ax,di
|
|||
|
|
mov uqNumerator.uq2,ax
|
|||
|
|
xor bx,di
|
|||
|
|
mov ax,uqNumerator.uq0
|
|||
|
|
rol ax,cl
|
|||
|
|
mov di,si
|
|||
|
|
and di,ax
|
|||
|
|
or bx,di
|
|||
|
|
mov uqNumerator.uq1,bx
|
|||
|
|
xor ax,di
|
|||
|
|
mov uqNumerator.uq0,ax
|
|||
|
|
numerator_is_shifted:
|
|||
|
|
|
|||
|
|
; set up registers for division
|
|||
|
|
|
|||
|
|
mov dx,uqNumerator.uq3
|
|||
|
|
mov ax,uqNumerator.uq2
|
|||
|
|
mov di,uqNumerator.uq1
|
|||
|
|
mov cx,ulDenominator.hi
|
|||
|
|
mov bx,ulDenominator.lo
|
|||
|
|
|
|||
|
|
; check for case when Denominator has only 16 bits
|
|||
|
|
|
|||
|
|
or bx,bx
|
|||
|
|
jnz must_do_long_division
|
|||
|
|
div cx
|
|||
|
|
mov si,ax
|
|||
|
|
mov ax,uqNumerator.uq1
|
|||
|
|
div cx
|
|||
|
|
xchg si,dx ; DX:AX = quotient
|
|||
|
|
mov di,uqNumerator.uq0 ; SI:DI = remainder (shifted)
|
|||
|
|
jmp short unshift_remainder
|
|||
|
|
must_do_long_division:
|
|||
|
|
|
|||
|
|
; do the long division, part IZ@NL@%
|
|||
|
|
|
|||
|
|
cmp dx,cx ; we only know that DX:AX < CX:BX!
|
|||
|
|
jb first_division_is_safe
|
|||
|
|
mov ulQuotient.hi,0 ; i.e. 10000h, our guess is too big
|
|||
|
|
mov si,ax
|
|||
|
|
sub si,bx ; ... remainder is negative
|
|||
|
|
jmp short first_adjuster
|
|||
|
|
first_division_is_safe:
|
|||
|
|
div cx
|
|||
|
|
mov ulQuotient.hi,ax
|
|||
|
|
mov si,dx
|
|||
|
|
mul bx ; fix remainder for low order term
|
|||
|
|
sub di,ax
|
|||
|
|
sbb si,dx
|
|||
|
|
jnc first_adjuster_done ; The remainder is UNSIGNED! We have
|
|||
|
|
first_adjuster: ; to use the carry flag to keep track
|
|||
|
|
dec ulQuotient.hi ; of the sign. The adjuster loop
|
|||
|
|
add di,bx ; watches for a change to the carry
|
|||
|
|
adc si,cx ; flag which would indicate a sign
|
|||
|
|
jnc first_adjuster ; change IF we had more bits to keep
|
|||
|
|
first_adjuster_done: ; a sign in.
|
|||
|
|
|
|||
|
|
; do the long division, part II
|
|||
|
|
|
|||
|
|
mov dx,si
|
|||
|
|
mov ax,di
|
|||
|
|
mov di,uqNumerator.uq0
|
|||
|
|
cmp dx,cx ; we only know that DX:AX < CX:BX!
|
|||
|
|
jb second_division_is_safe
|
|||
|
|
mov ulQuotient.lo,0 ; i.e. 10000h, our guess is too big
|
|||
|
|
mov si,ax
|
|||
|
|
sub si,bx ; ... remainder is negative
|
|||
|
|
jmp short second_adjuster
|
|||
|
|
second_division_is_safe:
|
|||
|
|
div cx
|
|||
|
|
mov ulQuotient.lo,ax
|
|||
|
|
mov si,dx
|
|||
|
|
mul bx ; fix remainder for low order term
|
|||
|
|
sub di,ax
|
|||
|
|
sbb si,dx
|
|||
|
|
jnc second_adjuster_done
|
|||
|
|
second_adjuster:
|
|||
|
|
dec ulQuotient.lo
|
|||
|
|
add di,bx
|
|||
|
|
adc si,cx
|
|||
|
|
jnc second_adjuster
|
|||
|
|
second_adjuster_done:
|
|||
|
|
mov ax,ulQuotient.lo
|
|||
|
|
mov dx,ulQuotient.hi
|
|||
|
|
|
|||
|
|
; unshift the remainder in SI:DI
|
|||
|
|
|
|||
|
|
unshift_remainder:
|
|||
|
|
mov cx,cShift
|
|||
|
|
jcxz remainder_unshifted
|
|||
|
|
mov bx,-1
|
|||
|
|
shr bx,cl
|
|||
|
|
not bx
|
|||
|
|
shr di,cl
|
|||
|
|
ror si,cl
|
|||
|
|
and bx,si
|
|||
|
|
or di,bx
|
|||
|
|
xor si,bx
|
|||
|
|
remainder_unshifted:
|
|||
|
|
mov cx,si
|
|||
|
|
mov bx,di
|
|||
|
|
ifdef WIMP
|
|||
|
|
or ax,ax ; clear OF
|
|||
|
|
endif
|
|||
|
|
qdiv_exit:
|
|||
|
|
cEnd
|
|||
|
|
|
|||
|
|
;---------------------------Public-Routine------------------------------;
|
|||
|
|
; ulNormalize
|
|||
|
|
;
|
|||
|
|
; Normalizes a ULONG so that the highest order bit is 1. Returns the
|
|||
|
|
; number of shifts done. Also returns ZF=1 if the ULONG was zero.
|
|||
|
|
;
|
|||
|
|
; Entry:
|
|||
|
|
; DX:AX = ULONG
|
|||
|
|
; Returns:
|
|||
|
|
; DX:AX = normalized ULONG
|
|||
|
|
; CX = shift count
|
|||
|
|
; ZF = 1 if the ULONG is zero, 0 otherwise
|
|||
|
|
; Registers Destroyed:
|
|||
|
|
; none
|
|||
|
|
; History:
|
|||
|
|
; Mon 25-Jan-1988 22:07:03 -by- Charles Whitmer [chuckwh]
|
|||
|
|
; Wrote it.
|
|||
|
|
;-----------------------------------------------------------------------;
|
|||
|
|
assumes ds,nothing
|
|||
|
|
assumes es,nothing
|
|||
|
|
|
|||
|
|
cProc ulNormalize,<PUBLIC,NEAR>
|
|||
|
|
cBegin
|
|||
|
|
|
|||
|
|
; shift by words
|
|||
|
|
|
|||
|
|
xor cx,cx
|
|||
|
|
or dx,dx
|
|||
|
|
js ulNormalize_exit
|
|||
|
|
jnz top_word_ok
|
|||
|
|
xchg ax,dx
|
|||
|
|
or dx,dx
|
|||
|
|
jz ulNormalize_exit ; the zero exit
|
|||
|
|
mov cl,16
|
|||
|
|
js ulNormalize_exit
|
|||
|
|
top_word_ok:
|
|||
|
|
|
|||
|
|
; shift by bytes
|
|||
|
|
|
|||
|
|
or dh,dh
|
|||
|
|
jnz top_byte_ok
|
|||
|
|
xchg dh,dl
|
|||
|
|
xchg dl,ah
|
|||
|
|
xchg ah,al
|
|||
|
|
add cl,8
|
|||
|
|
or dh,dh
|
|||
|
|
js ulNormalize_exit
|
|||
|
|
top_byte_ok:
|
|||
|
|
|
|||
|
|
; do the rest by bits
|
|||
|
|
|
|||
|
|
inc cx
|
|||
|
|
add ax,ax
|
|||
|
|
adc dx,dx
|
|||
|
|
js ulNormalize_exit
|
|||
|
|
inc cx
|
|||
|
|
add ax,ax
|
|||
|
|
adc dx,dx
|
|||
|
|
js ulNormalize_exit
|
|||
|
|
inc cx
|
|||
|
|
add ax,ax
|
|||
|
|
adc dx,dx
|
|||
|
|
js ulNormalize_exit
|
|||
|
|
inc cx
|
|||
|
|
add ax,ax
|
|||
|
|
adc dx,dx
|
|||
|
|
js ulNormalize_exit
|
|||
|
|
inc cx
|
|||
|
|
add ax,ax
|
|||
|
|
adc dx,dx
|
|||
|
|
js ulNormalize_exit
|
|||
|
|
inc cx
|
|||
|
|
add ax,ax
|
|||
|
|
adc dx,dx
|
|||
|
|
js ulNormalize_exit
|
|||
|
|
inc cx
|
|||
|
|
add ax,ax
|
|||
|
|
adc dx,dx
|
|||
|
|
ulNormalize_exit:
|
|||
|
|
cEnd
|
|||
|
|
|
|||
|
|
sEnd CodeSeg
|
|||
|
|
|
|||
|
|
end
|
|||
|
|
|