pow387.asm

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;*****************************************************************************
;*
;*                            Open Watcom Project
;*
;*    Portions Copyright (c) 1983-2002 Sybase, Inc. All Rights Reserved.
;*
;*  ========================================================================
;*
;*    This file contains Original Code and/or Modifications of Original
;*    Code as defined in and that are subject to the Sybase Open Watcom
;*    Public License version 1.0 (the 'License'). You may not use this file
;*    except in compliance with the License. BY USING THIS FILE YOU AGREE TO
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;* Description:  WHEN YOU FIGURE OUT WHAT THIS FILE DOES, PLEASE
;*               DESCRIBE IT HERE!
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;*****************************************************************************


;
;   double pow( double x, double y )
;
ifdef __386__
 .387
else
 .8087
endif
include mdef.inc
include struct.inc
include math387.inc

        extern_chipbug
        xref    __8087  ; indicate that NDP instructions are present

        modstart    pow387

        xref    "C",__pow87_err
        xref    __@DEXP

        xdefp   "C",pow ; calc pow(x,y)

ifndef __386__
        if _MODEL and _BIG_CODE
         argx    equ     6
        else
         argx    equ     4
        endif
endif


        public  IF@DPOW
        public  IF@POW
        defp    IF@DPOW
        defp    IF@POW
        prolog
        ftst                            ; test sign of x
        sub     _SP,24                  ; allocate space
        fstsw   word ptr -24+16[_BP]    ; get status word
        fst     qword ptr -24[_BP]      ; save x
        mov     AH,-24+16+1[_BP]        ; ...
        sahf                            ; set flags
        _guess                          ; guess: x is 0.0
          _quif ne                      ; - quit if not 0.0
          mov   AL,0                    ; - indicate x==0.0 error
pow_err1: fstp  st(0)                   ; - clean up 80x87 stack
pow_err:  fstp  qword ptr -24+8[_BP]    ; - store y
          mov   -24+16[_BP],_AX         ; - push code
          mov   -24+20[_BP],_DX         ; - save DX (-3s) clobbers EDX 17-mar-92
          call  __pow87_err             ; - pow error
          sub   _SP,8                   ; - reallocate space 06-nov-92
ifdef __386__
 ifdef __STACK__
          push  EDX                     ; - load result into 80x87
          push  EAX                     ; - ...
          fld   qword ptr 0[ESP]        ; - ...
          mov   EDX,-24+20[EBP]         ; - restore EDX 17-mar-92
          fwait                         ; - ...
 endif
endif
          jmp   pow_end                 ; - done
        _endguess                       ; endguess
        _guess                          ; admit: base not 0
          fld   st(1)                   ; - get exponent y
          frndint                       ; - determine if it is integral
          fcomp st(2)                   ; - if int(y) != y
          fstsw word ptr -24+18[_BP]    ; - get status word
          fwait                         ; - ...
          mov   AH,-24+18+1[_BP]        ; - ...
          _if   c                       ; - if base is negative
            mov   AL,1                  ; - - indicate negative ** fraction
            sahf                        ; - - set flags
            jne   pow_err1              ; - - if int(y) != y, then error

;           need to determine if y is even or odd

            mov   AX,2                  ; - - load 2.0
            mov   -24+20[_BP],AX        ; - - ...
            fild  word ptr -24+20[_BP]  ; - - ...
            fld   st(2)                 ; - - load y
            fprem                       ; - - calc fprem(y,2)
            fstsw word ptr -24+20[_BP]  ; - - get status word
            fwait                       ; - - ...
            mov   AH,-24+20+1[_BP]      ; - - see if exponent > 64
            sahf                        ; - - set flags
            mov   AH,0                  ; - - assume exponent even
            _if   np                    ; - - if exponent < 64
              ftst                      ; - - - test remainder to see if 0
              fstsw word ptr -24+20[_BP]; - - - get status word
              fwait                     ; - - - ...
              mov   AH,-24+20+1[_BP]    ; - - - see if rem is 0
              sahf                      ; - - - set flags
              mov   AH,0                ; - - - assume even
              _if   ne                  ; - - - if remainder not 0
                mov   AH,1              ; - - - - indicate exponent was odd
              _endif                    ; - - - endif
            _endif                      ; - - endif
            mov   -24+16+1[_BP],AH      ; - - save as flags (carry = low bit)
            fstp  st(0)                 ; - - clean up stack
            fstp  st(0)                 ; - - clean up stack
          _else                         ; - else base is positive
            sahf                        ; - - set flags
            _if ne
            jmp   exp_log               ; - - quit if int(y) != y
            _endif
          _endif                        ; - endif
          fld   st(1)                   ; - get y
          fstp  qword ptr -24+8[_BP]    ; - store in memory
          fwait                         ; - wait
          mov   AX,-24+8+6[_BP]         ; - get exponent
          and   AX,7FF0h                ; - get rid of sign bit
          sub   AX,3FF0h                ; - get rid of bias
          cmp   AX,16 shl 4             ; - quit if number too large
          _quif ae                      ; - ...
          fld   st(1)                   ; - get y
          fistp dword ptr -24+20[_BP]   ; - store exponent as an integer
          fwait                         ; - wait for fistp to complete
          mov   AX,-24+20+2[_BP]        ; - get high order word of exponent
          or    AX,AX                   ; - if 0
          _if   e                       ; - then
            mov   AX,-24+20[_BP]        ; - - get low order word of exponent
            call  pow_ri                ; - - calculate power
          _else                         ; - else
            inc   AX                    ; - - see if high order word is -1
            jne   exp_log               ; - - quit if not -1
            or    AX,-24+20[_BP]        ; - - get low order word
            je    exp_log               ; - - quit if 0
            neg   AX                    ; - - negate the exponent
            call  pow_ri                ; - - calculate power
            fld1                        ; - - take reciprical
            do_fdivrp 1,0               ; - - take reciprical
          _endif                        ; - endif
          fst   qword ptr -24+16[_BP]   ; - store result
          fwait                         ; - wait
          mov   AX,-24+16+0[_BP]        ; - check for infinity
          or    AX,-24+16+2[_BP]        ; - ...
          or    AX,-24+16+4[_BP]        ; - ...
          _if   e                       ; - if fraction is 0
            mov   AX,-24+16+6[_BP]      ; - - get exponent
            shl   AX,1                  ; - - get rid of sign bit
            cmp   AX,0FFE0h             ; - - if infinity
            _if   e                     ; - - then
              mov   AL,2                ; - - - indicate value too large
              jmp   pow_err1            ; - - - handle error
            _endif                      ; - - endif
          _endif                        ; - endif
          fstp  st(1)                   ; - copy answer over top of y
        _admit                          ; admit: use exp( log(x) * y )
exp_log:  fldln2                        ; - load ln(2)
          fmul    st,st(2)              ; - calc. y * ln(2)
          fxch    st(1)                 ; - flip
          fabs                          ; - make sure x is positive
          fyl2x                         ; - calc log(x) * y
          mov     AL,FUNC_POW           ; - indicate pow function
          call    __@DEXP               ; - calc. exp( log(x) * y )
          cmp     AL,0                  ; - check for error
          jne     pow_err2              ; - if argument to exp was too large
          mov     AH,-24+16+1[_BP]      ; - get flags
          sahf                          ; - set flags
          _if     c                     ; - if x was negative
            fchs                        ; - - negate the answer
          _endif                        ; - endif
          fstp  st(1)                   ; - copy answer over top of y
        _endguess                       ; endguess
pow_end:
        fstp    qword ptr -8[_BP]       ; force value to be double 30-jul-92
        fld     qword ptr -8[_BP]       ; reload value
        fwait                           ; wait for load to complete
        mov     _SP,_BP                 ; reset SP
        epilog
        ret                             ; return

pow_err2:
        mov     AL,2                    ; indicate value too large
        fxch    st(1)                   ; pass parm to __@DEXP to __pow87_err
        jmp     pow_err1                ; handle error

        endproc IF@POW
        endproc IF@DPOW

;
;       st(0) contains base
;       AX contains integer exponent
;
;       calculate st(0) ** AX

pow_ri  proc    near
        _loop                           ; loop
          shr   AX,1                    ; - shift exponent right 1
          _quif be                      ; - quit if exponent is 0 or carry set
          fmul  st,st(0)                ; - square the base
        _endloop                        ; endloop
        _if     c                       ; if carry on
          fld   st(0)                   ; - this is first term of result
          _loop                         ; - loop
            _quif  e                    ; - - quit if done
            fmul   st,st(0)             ; - - square the base
            shr    AX,1                 ; - - shift exponent right 1
            _if    c                    ; - - if bit is on
              fmul   st(1),st           ; - - - multiply result by base
            _endif                      ; - - endif
          _endloop                      ; - endloop
          fstp  st(0)                   ; - throw away base
        _else                           ; else (exponent was 0)
          fstp  st(0)                   ; - throw away base
          fld1                          ; - set result to 1
        _endif                          ; endif
        ret                             ; return
        endproc pow_ri

        defp    pow
ifdef __386__
        fld     qword ptr 4+8[ESP]      ; load y
        fld     qword ptr 4[ESP]        ; load x
        call    IF@DPOW                 ; calculate pow(x,y)
        loadres                         ; load result
else
        prolog
        fld     qword ptr argx+8[BP]    ; load y
        fld     qword ptr argx[BP]      ; load x
        lcall   IF@DPOW                 ; calculate pow(x,y)
        epilog
endif
        ret_pop 16                      ; return
        endproc pow

        endmod
        end

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