572 lines
10 KiB
NASM
572 lines
10 KiB
NASM
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; SCCSID = @(#)emsincos.asm 13.5 90/03/27
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page ,132
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subttl emsincos - fsin, fcos and fsincos
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;***
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;emulator.asm - 80387 emulator
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;
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; IBM/Microsoft Confidential
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;
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; Copyright (c) IBM Corporation 1987, 1989
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; Copyright (c) Microsoft Corporation 1987, 1989
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;
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; All Rights Reserved
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;
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;Purpose:
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; Code for fsin, fcos and fsincos
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;
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;Revision History:
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; See emulator.hst
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;
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;*******************************************************************************
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lab eFsincosStackOver
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or SEL[CURerr], StackFlag or Invalid
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test SEL[CWmask], Invalid
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JSZ eFsincosStackOverRet
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mov SEL[rsi.lMan0], 0 ; st(0) = Ind
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mov SEL[rsi.lMan1], 0c0000000h
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mov SEL[rsi.wExp], 7fffh - IexpBias
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mov SEL[rsi.bTag], bTAG_NAN
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mov SEL[rsi.bFlags], bSign
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mov SEL[rdi.lMan0], 0 ; st(-1) = Ind
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mov SEL[rdi.lMan1], 0c0000000h
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mov SEL[rdi.wExp], 7fffh - IexpBias
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mov SEL[rdi.bTag], bTAG_NAN
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mov SEL[rdi.bFlags], bSign
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mov SEL[CURstk], rdi ; push stack
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lab eFsincosStackOverRet
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ret
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lab eFSINCOS
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mov esi, SEL[CURStk] ; esi = st(0)
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mov edi, esi
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PrevStackElem edi ; edi = st(-1)
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cmp SEL[edi.bTag], bTAG_EMPTY
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JSNE eFsincosStackOver
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cmp SEL[esi.bTag], bTAG_NAN
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JSNE eFsincosNotSNaN
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test SEL[esi.bMan7], 40h
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JSNZ eFsincosNotSNaN
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test SEL[CWmask], Invalid
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JSNZ eFsincosNotSNaN
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or SEL[CURerr], Invalid
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ret
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lab eFsincosNotSNaN
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ifdef NT386
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push eax
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mov eax, dword ptr SEL[rsi]
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mov dword ptr SEL[rdi], eax
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mov eax, dword ptr SEL[rsi+4]
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mov dword ptr SEL[rdi+4], eax
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mov eax, dword ptr SEL[rsi+8]
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mov dword ptr SEL[rdi+8], eax
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add rsi, Reg87Len
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add rdi, Reg87Len
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pop eax
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else
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push ds ; Copy current stack into st(-1)
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pop es
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movsd
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movsd
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movsd
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endif
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call eFSIN
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PUSHST
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call eFCOS
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ret
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lab eFcosSpecial
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mov esp, ebp
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pop ebp
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mov SEL[RESULT], esi
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mov al, SEL[esi.bTag]
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cmp al, bTAG_ZERO
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JSNE eFcosInf
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lab eFcosRetOne
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mov SEL[esi.lMan0], 0
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mov SEL[esi.lMan1], 080000000h
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mov SEL[esi.wExp], 3fffh - IexpBias
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mov SEL[esi.bFlags], 0
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mov SEL[esi.bTag], bTAG_VALID
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ret
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lab eFcosInf
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cmp al, bTAG_INF
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JE RetIndInv
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lab eFcosNaN
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jmp OneArgOpNaNRet
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cProc eFCOS,<PLM,PUBLIC>,<>
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localT temp
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localB SignFlag
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cBegin
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mov esi, SEL[CURstk]
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cmp SEL[esi.bTag], bTAG_VALID
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jne eFcosSpecial
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or SEL[CURerr], Precision
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and SEL[esi].bFlags, not bSign ; st(0) = fabs( st(0) );
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call SinCosReduce ; Set ah to condition code.
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add SEL[esi].wExp, IExpBias
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push SEL[esi].wExp
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push SEL[esi].lMan1
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push SEL[esi].lMan0
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lea ecx, [temp]
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push ecx
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mov bl, ah ; if octant 2, 3, 4, or 5 then final
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and bl, bOCT2 or bOCT4 ; result must be negative
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mov [SignFlag], bl
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test ah, bOCT1 or bOCT2 ; if octant is 1, 2, 5, 6 then must
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jpo CosCallSin ; do sin()
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call __FASTLDCOS
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jmp short CosCopyRes
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CosCallSin:
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call __FASTLDSIN
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CosCopyRes:
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mov eax, dword ptr [temp]
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mov SEL[esi].lMan0, eax
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mov eax, dword ptr [temp+4]
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mov SEL[esi].lMan1, eax
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mov ax, word ptr [temp+8]
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sub ax, IExpBias
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mov SEL[esi].wExp, ax
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cmp [SignFlag], 0
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jpe CosDone
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or SEL[esi].bFlags, bSign ; Make result negative.
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CosDone:
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cEnd
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lab eFsinSpecial
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mov esp, ebp
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pop ebp
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mov al, SEL[esi.bTag]
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cmp al, bTAG_ZERO
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JSNE eFsinInf
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lab eFsinZero
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ret
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lab eFsinInf
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cmp al, bTAG_INF
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JE RetIndInv
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lab eFsinNaN
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jmp OneArgOpNaNRet
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cProc eFSIN,<PLM,PUBLIC>,<>
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localT temp
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localB SignFlag
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cBegin
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mov esi, SEL[CURstk]
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cmp SEL[esi.bTag], bTAG_VALID
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jne eFsinSpecial
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or SEL[CURerr], Precision
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mov al, SEL[esi].bFlags
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and SEL[esi].bFlags, not bSign
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shl al, 1 ; shift sign into carry.
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sbb cl, cl ; set cl to -1 if argument is negative.
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push ecx
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call SinCosReduce ; Set ah to condition code.
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pop ecx
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cmp SEL[esi].bTag, bTAG_ZERO
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je SinDone
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add SEL[esi].wExp, IExpBias
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push SEL[esi].wExp
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push SEL[esi].lMan1
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push SEL[esi].lMan0
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lea ebx, [temp]
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push ebx
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mov bl, ah ; if octant 4, 5, 6 or 7 then final
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and bl, bOCT4 ; result must be negative
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neg cl ; set cl to odd parity if arg was < 0.0
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xor bl, cl ; set bl to odd parity if result must be negative
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mov [SignFlag], bl
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test ah, bOCT1 or bOCT2 ; if octant is 1, 2, 5, 6 then must
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jpo SinCallCos ; do cos()
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call __FASTLDSIN
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jmp short SinCopyResult
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SinCallCos:
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call __FASTLDCOS
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SinCopyResult:
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mov eax, dword ptr [temp]
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mov SEL[esi].lMan0, eax
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mov eax, dword ptr [temp+4]
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mov SEL[esi].lMan1, eax
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mov ax, word ptr [temp+8]
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sub ax, IExpBias
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mov SEL[esi].wExp, ax
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cmp [SignFlag], 0
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jpe SinDone
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or SEL[esi].bFlags, bSign ; Make result negative.
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SinDone:
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cEnd
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lab SinCosReduce
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mov SEL[TEMP1.bFlags], 0 ; TEMP1 = pi/4
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mov SEL[TEMP1.bTag], bTAG_VALID
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mov SEL[TEMP1.wExp], 3ffeh-IExpBias
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mov SEL[TEMP1.wMan3], 0c90fh
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mov SEL[TEMP1.wMan2], 0daa2h
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mov SEL[TEMP1.wMan1], 2168h
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mov SEL[TEMP1.wMan0], 0c235h
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ifdef NT386
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mov edi, TEMP1
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else
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mov edi, edataOFFSET TEMP1
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endif
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push esi
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call InternFPREM ; rsi = st(0), rdi = st(0)
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pop esi
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mov ah, SEL[SWcc]
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test ah, bOCT1 ; check for even octant
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jz EvenOct ; yes
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add SEL[esi.wExp], IExpBias ; convert to true long double
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push ds
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push esi
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push cs
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push ecodeOFFSET PIBY4
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push ds
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push esi
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push -1
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call __FASTLDADD ; st(0) = pi/4 - st(0)
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mov ah, SEL[SWcc]
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sub SEL[esi.wExp], IExpBias ; convert to squirly emulator long double
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EvenOct:
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retn
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labelW PIBY4
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dw 0c235h, 02168h, 0daa2h, 0c90fh, 3ffeh
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;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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; NOTE tedm: NT masm can't handle floating-point constants ;
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; because strtod and _strtold C-runtimes aren't ;
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; there. So the constants below must be pre- ;
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; assembled and defined as a byte stream. ;
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;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
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ifdef NOTDEF
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staticT FourByPI, +0.1273239544735162686151e+01
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staticT SinP0, +0.7853981633974483096141845e+00
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staticT SinP1, -0.8074551218828078152025820e-01
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staticT SinP2, +0.2490394570192716275251900e-02
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staticT SinP3, -0.3657620418214640005290000e-04
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staticT SinP4, +0.3133616889173253480000000e-06
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staticT SinP5, -0.1757247417617080600000000e-08
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staticT SinP6, +0.6948152035052200000000000e-11
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staticT SinP7, -0.2022531292930000000000000e-13
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staticT CosP0, +0.99999999999999999996415e+00
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staticT CosP1, -0.30842513753404245242414e+00
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staticT CosP2, +0.15854344243815410897540e-01
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staticT CosP3, -0.32599188692668755044000e-03
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staticT CosP4, +0.35908604458858195300000e-05
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staticT CosP5, -0.24611363826370050000000e-07
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staticT CosP6, +0.11500497024263000000000e-09
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staticT CosP7, -0.38577620372000000000000e-12
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else
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staticB FourByPI, <02Ah,015h,044h,04Eh,06Eh,083h,0F9h,0A2h,0FFh,03Fh>
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staticB SinP0 , <035h,0C2h,068h,021h,0A2h,0DAh,00Fh,0C9h,0FEh,03Fh>
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staticB SinP1 , <0DAh,095h,0F2h,02Dh,031h,0E7h,05Dh,0A5h,0FBh,0BFh>
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staticB SinP2 , <0E9h,0C6h,056h,0ADh,03Bh,0E3h,035h,0A3h,0F6h,03Fh>
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staticB SinP3 , <0D5h,0E7h,05Dh,015h,073h,066h,069h,099h,0F0h,0BFh>
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staticB SinP4 , <0BCh,032h,069h,0E1h,042h,01Ah,03Ch,0A8h,0E9h,03Fh>
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staticB SinP5 , <021h,077h,004h,05Fh,0A1h,0A5h,083h,0F1h,0E1h,0BFh>
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staticB SinP6 , <0FCh,01Ah,0D1h,006h,0CCh,063h,077h,0F4h,0D9h,03Fh>
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staticB SinP7 , <04Ah,003h,086h,040h,07Ch,065h,02Ch,0B6h,0D1h,0BFh>
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staticB CosP0 , <0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FFh,0FEh,03Fh>
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staticB CosP1 , <02Fh,0F2h,02Eh,0F2h,04Dh,0E6h,0E9h,09Dh,0FDh,0BFh>
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staticB CosP2 , <02Fh,04Eh,0D5h,0DAh,040h,0F8h,0E0h,081h,0F9h,03Fh>
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staticB CosP3 , <09Dh,0DEh,06Ah,0E4h,0F1h,0E3h,0E9h,0AAh,0F3h,0BFh>
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staticB CosP4 , <031h,01Eh,0F9h,081h,041h,083h,0FAh,0F0h,0ECh,03Fh>
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staticB CosP5 , <076h,0B1h,000h,0A4h,01Eh,0F6h,068h,0D3h,0E5h,0BFh>
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staticB CosP6 , <0D8h,005h,06Fh,08Ah,0EAh,00Ah,0E6h,0FCh,0DDh,03Fh>
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staticB CosP7 , <003h,0D5h,00Ah,0ACh,0CCh,035h,02Ch,0D9h,0D5h,0BFh>
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endif
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cProc __FASTLDSIN,<PLM,PUBLIC>,<isi,idi>
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parmT x
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parmI RetOff
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|
|
||
|
|
localT x2
|
||
|
|
localT poly
|
||
|
|
localI count
|
||
|
|
|
||
|
|
cBegin
|
||
|
|
|
||
|
|
lea isi, [x] ; x = x * (4/PI)
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
mov iax, codeOFFSET FourByPI
|
||
|
|
push cs
|
||
|
|
push iax
|
||
|
|
|
||
|
|
call __FASTLDMULT
|
||
|
|
|
||
|
|
|
||
|
|
lea idi, [x2] ; x2 = x * x
|
||
|
|
push ss
|
||
|
|
push idi
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
call __FASTLDMULT
|
||
|
|
|
||
|
|
if 0
|
||
|
|
push ss
|
||
|
|
pop es
|
||
|
|
lea idi, [poly]
|
||
|
|
mov isi, codeOFFSET SinP7
|
||
|
|
movsw
|
||
|
|
movsw
|
||
|
|
movsw
|
||
|
|
movsw
|
||
|
|
movsw
|
||
|
|
endif
|
||
|
|
mov eax, dword ptr [SinP7] ; poly = SinP7
|
||
|
|
mov dword ptr [poly], eax
|
||
|
|
mov eax, dword ptr [SinP7+4]
|
||
|
|
mov dword ptr [poly+4], eax
|
||
|
|
mov ax, word ptr [SinP7+8]
|
||
|
|
mov word ptr [poly+8], ax
|
||
|
|
|
||
|
|
lea isi, [poly]
|
||
|
|
mov idi, codeOFFSET SinP6
|
||
|
|
|
||
|
|
mov [count], 7
|
||
|
|
|
||
|
|
SinPolyLoop:
|
||
|
|
push ss
|
||
|
|
push isi ; poly = poly * x2
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
lea iax, [x2]
|
||
|
|
push ss
|
||
|
|
push iax
|
||
|
|
|
||
|
|
call __FASTLDMULT
|
||
|
|
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi ; poly = poly + SinP[n]
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
push cs
|
||
|
|
push idi
|
||
|
|
|
||
|
|
xor iax, iax
|
||
|
|
push iax
|
||
|
|
call __FASTLDADD
|
||
|
|
|
||
|
|
sub idi, 10
|
||
|
|
|
||
|
|
dec [count]
|
||
|
|
jnz SinPolyLoop
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push [RetOff] ; return x * poly
|
||
|
|
|
||
|
|
lea iax, [x]
|
||
|
|
push ss
|
||
|
|
push iax
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
call __FASTLDMULT
|
||
|
|
|
||
|
|
mov iax, [RetOff]
|
||
|
|
mov idx, ss
|
||
|
|
cEnd
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
cProc __FASTLDCOS,<PLM,PUBLIC>,<isi,idi>
|
||
|
|
|
||
|
|
parmT x
|
||
|
|
parmI RetOff
|
||
|
|
|
||
|
|
localT x2
|
||
|
|
localI count
|
||
|
|
|
||
|
|
cBegin
|
||
|
|
|
||
|
|
lea isi, [x] ; x = x * (4/PI)
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
mov iax, codeOFFSET FourByPI
|
||
|
|
push cs
|
||
|
|
push iax
|
||
|
|
|
||
|
|
call __FASTLDMULT
|
||
|
|
|
||
|
|
|
||
|
|
lea idi, [x2] ; x2 = x * x
|
||
|
|
push ss
|
||
|
|
push idi
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
call __FASTLDMULT
|
||
|
|
|
||
|
|
if 0
|
||
|
|
push ss ; (return) = CosP7
|
||
|
|
pop es
|
||
|
|
mov idi, [RetOff]
|
||
|
|
mov isi, codeOFFSET CosP7
|
||
|
|
movsw
|
||
|
|
movsw
|
||
|
|
movsw
|
||
|
|
movsw
|
||
|
|
movsw
|
||
|
|
endif
|
||
|
|
mov isi, [RetOff]
|
||
|
|
mov eax, dword ptr [CosP7]
|
||
|
|
mov dword ptr ss:[isi], eax
|
||
|
|
mov eax, dword ptr [CosP7+4]
|
||
|
|
mov dword ptr ss:[isi+4], eax
|
||
|
|
mov ax, word ptr [CosP7+8]
|
||
|
|
mov word ptr ss:[isi+8], ax
|
||
|
|
|
||
|
|
mov idi, codeOFFSET CosP6
|
||
|
|
|
||
|
|
mov [count], 7
|
||
|
|
|
||
|
|
CosPolyLoop:
|
||
|
|
push ss
|
||
|
|
push isi ; (return) = (return) * x2
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
lea iax, [x2]
|
||
|
|
push ss
|
||
|
|
push iax
|
||
|
|
|
||
|
|
call __FASTLDMULT
|
||
|
|
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi ; (return) = (return) + SinP[n]
|
||
|
|
|
||
|
|
push ss
|
||
|
|
push isi
|
||
|
|
|
||
|
|
push cs
|
||
|
|
push idi
|
||
|
|
|
||
|
|
xor iax, iax
|
||
|
|
push iax
|
||
|
|
|
||
|
|
call __FASTLDADD
|
||
|
|
|
||
|
|
|
||
|
|
sub idi, 10
|
||
|
|
|
||
|
|
dec [count]
|
||
|
|
jnz CosPolyLoop
|
||
|
|
|
||
|
|
mov iax, isi
|
||
|
|
mov idx, ss
|
||
|
|
cEnd
|