root/sys/arch/hppa/spmath/impys.S
/*      $NetBSD: impys.S,v 1.3 2005/12/11 12:17:40 christos Exp $       */

/*      $OpenBSD: impys.S,v 1.5 2001/03/29 03:58:18 mickey Exp $        */

/*
 * Copyright 1996 1995 by Open Software Foundation, Inc.
 *              All Rights Reserved
 *
 * Permission to use, copy, modify, and distribute this software and
 * its documentation for any purpose and without fee is hereby granted,
 * provided that the above copyright notice appears in all copies and
 * that both the copyright notice and this permission notice appear in
 * supporting documentation.
 *
 * OSF DISCLAIMS ALL WARRANTIES WITH REGARD TO THIS SOFTWARE
 * INCLUDING ALL IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS
 * FOR A PARTICULAR PURPOSE.
 *
 * IN NO EVENT SHALL OSF BE LIABLE FOR ANY SPECIAL, INDIRECT, OR
 * CONSEQUENTIAL DAMAGES OR ANY DAMAGES WHATSOEVER RESULTING FROM
 * LOSS OF USE, DATA OR PROFITS, WHETHER IN ACTION OF CONTRACT,
 * NEGLIGENCE, OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN CONNECTION
 * WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
 *
 */
/*
 * pmk1.1
 */
/*
 * (c) Copyright 1986 HEWLETT-PACKARD COMPANY
 *
 * To anyone who acknowledges that this file is provided "AS IS"
 * without any express or implied warranty:
 *     permission to use, copy, modify, and distribute this file
 * for any purpose is hereby granted without fee, provided that
 * the above copyright notice and this notice appears in all
 * copies, and that the name of Hewlett-Packard Company not be
 * used in advertising or publicity pertaining to distribution
 * of the software without specific, written prior permission.
 * Hewlett-Packard Company makes no representations about the
 * suitability of this software for any purpose.
 */

#include <machine/asm.h>

/****************************************************************************
 *
 * Implement an integer multiply routine for 32-bit operands and 64-bit product
 * with operand values of zero (multiplicand only) and -2**31 treated specially.
 * The algorithm uses the absolute value of the multiplier, four bits at a time,
 * from right to left, to generate partial product.  Execution speed is more
 * important than program size in this implementation.
 *
 ***************************************************************************/
/*
 * Definitions - General registers
 */
gr0:    .equ            0               /* General register zero */
pu:     .equ            3               /* upper part of product */
pl:     .equ            4               /* lower part of product */
op2:    .equ            4               /* multiplier */
op1:    .equ            5               /* multiplicand */
cnt:    .equ            6               /* count in multiply */
brindex:        .equ            7               /* index into the br. table */
sign:   .equ            8               /* sign of product */
pc:     .equ            9               /* carry bit of product, = 00...01 */
pm:     .equ           10               /* value of -1 used in shifting */

        .text

ENTRY(impys,32)
        stws,ma         pu,4(%sp)               ; save registers on stack
        stws,ma         pl,4(%sp)               ; save registers on stack
        stws,ma         op1,4(%sp)              ; save registers on stack
        stws,ma         cnt,4(%sp)              ; save registers on stack
        stws,ma         brindex,4(%sp)          ; save registers on stack
        stws,ma         sign,4(%sp)             ; save registers on stack
        stws,ma         pc,4(%sp)               ; save registers on stack
        stws,ma         pm,4(%sp)               ; save registers on stack
;
;   Start multiply process
;
        ldws            0(%arg1),op2            ; get multiplier
        ldws            0(%arg0),op1            ; get multiplicand
        addi            -1,gr0,pm               ; initialize pm to 111...1
        comb,<          op2,gr0,mpyb            ; br. if multiplier < 0
        xor             op2,op1,sign            ; sign(0) = sign of product
mpy1:   comb,<          op1,gr0,mpya            ; br. if multiplicand < 0
        addi            0,gr0,pu                ; clear product
        addib,=         0,op1,fini0             ; op1 = 0, product = 0
mpy2:   addi            1,gr0,pc                ; initialize pc to 00...01
        movib,tr        8,cnt,mloop             ; set count for mpy loop
        extru           op2,31,4,brindex        ; 4 bits as index into table
;
        .align          8
;
        b               sh4c                    ; br. if sign overflow
sh4n:   shd             pu,pl,4,pl              ; shift product right 4 bits
        addib,<=        -1,cnt,mulend           ; reduce count by 1, exit if
        extru           pu,27,28,pu             ;   <= zero
;
mloop:  blr             brindex,gr0             ; br. into table
                                                ;   entries of 2 words
        extru           op2,27,4,brindex        ; next 4 bits into index
;
;
;       branch table for the multiplication process with four multiplier bits
;
mtable:                                         ; two words per entry
;
; ----  bits = 0000 ---- shift product 4 bits -------------------------------
;
        b               sh4n+4                  ; just shift partial
        shd             pu,pl,4,pl              ;   product right 4 bits
;
;  ---- bits = 0001 ---- add op1, then shift 4 bits
;
        addb,tr         op1,pu,sh4n+4           ; add op1 to product, to shift
        shd             pu,pl,4,pl              ;   product right 4 bits
;
;  ---- bits = 0010 ---- add op1, add op1, then shift 4 bits
;
        addb,tr         op1,pu,sh4n             ; add 2*op1, to shift
        addb,uv         op1,pu,sh4c             ;   product right 4 bits
;
;  ---- bits = 0011 ---- add op1, add 2*op1, shift 4 bits
;
        addb,tr         op1,pu,sh4n-4           ; add op1 & 2*op1, shift
        sh1add,nsv      op1,pu,pu               ;   product right 4 bits
;
;  ---- bits = 0100 ---- shift 2, add op1, shift 2
;
        b               sh2sa
        shd             pu,pl,2,pl              ; shift product 2 bits
;
;  ---- bits = 0101 ---- add op1, shift 2, add op1, and shift 2 again
;
        addb,tr         op1,pu,sh2us            ; add op1 to product
        shd             pu,pl,2,pl              ; shift 2 bits
;
;  ---- bits = 0110 ---- add op1, add op1, shift 2, add op1, and shift 2 again
;
        addb,tr         op1,pu,sh2c             ; add 2*op1, to shift 2 bits
        addb,nuv        op1,pu,sh2us            ; br. if not overflow
;
;  ---- bits = 0111 ---- subtract op1, shift 3, add op1, and shift 1
;
        b               sh3s
        sub             pu,op1,pu               ; subtract op1, br. to sh3s

;
;  ---- bits = 1000 ---- shift 3, add op1, shift 1
;
        b               sh3sa
        shd             pu,pl,3,pl              ; shift product right 3 bits
;
;  ---- bits = 1001 ---- add op1, shift 3, add op1, shift 1
;
        addb,tr         op1,pu,sh3us            ; add op1, to shift 3, add op1,
        shd             pu,pl,3,pl              ;   and shift 1
;
;  ---- bits = 1010 ---- add op1, add op1, shift 3, add op1, shift 1
;
        addb,tr         op1,pu,sh3c             ; add 2*op1, to shift 3 bits
        addb,nuv        op1,pu,sh3us            ;   br. if no overflow
;
;  ---- bits = 1011 ---- add -op1, shift 2, add -op1, shift 2, inc. next index
;
        addib,tr        1,brindex,sh2s          ; add 1 to index, subtract op1,
        sub             pu,op1,pu               ;   shift 2 with minus sign
;
;  ---- bits = 1100 ---- shift 2, subtract op1, shift 2, increment next index
;
        addib,tr        1,brindex,sh2sb         ; add 1 to index, to shift
        shd             pu,pl,2,pl              ; shift right 2 bits signed
;
;  ---- bits = 1101 ---- add op1, shift 2, add -op1, shift 2
;
        addb,tr         op1,pu,sh2ns            ; add op1, to shift 2
        shd             pu,pl,2,pl              ;   right 2 unsigned, etc.
;
;  ---- bits = 1110 ---- shift 1 signed, add -op1, shift 3 signed
;
        addib,tr        1,brindex,sh1sa         ; add 1 to index, to shift
        shd             pu,pl,1,pl              ; shift 1 bit
;
;  ---- bits = 1111 ---- add -op1, shift 4 signed
;
        addib,tr        1,brindex,sh4s          ; add 1 to index, subtract op1,
        sub             pu,op1,pu               ;   to shift 4 signed

;
;  ---- bits = 10000 ---- shift 4 signed
;
        addib,tr        1,brindex,sh4s+4        ; add 1 to index
        shd             pu,pl,4,pl              ; shift 4 signed
;
;  ---- end of table ---------------------------------------------------------
;
sh4s:   shd             pu,pl,4,pl
        addib,tr        -1,cnt,mloop            ; loop (count > 0 always here)
        shd             pm,pu,4,pu              ; shift 4, minus signed
;
sh4c:   addib,>         -1,cnt,mloop            ; decrement count, loop if > 0
        shd             pc,pu,4,pu              ; shift 4 with overflow
        b               signs                   ; end of multiply
        bb,>=,n         sign,0,fini             ; test sign of procduct
;
mpyb:   add,=           op2,op2,gr0             ; if <> 0, back to main sect.
        b               mpy1
        sub             0,op2,op2               ; op2 = |multiplier|
        add,>=          op1,gr0,gr0             ; if op1 < 0, invert sign,
        xor             pm,sign,sign            ;   for correct result
;
;       special case for multiplier = -2**31, op1 = signed multiplicand
;               or multiplicand = -2**31, op1 = signed multiplier
;
        shd             op1,0,1,pl              ; shift op1 left 31 bits
mmax:   extrs           op1,30,31,pu
        b               signs                   ; negate product (if needed)
        bb,>=,n         sign,0,fini             ; test sign of product
;
mpya:   add,=           op1,op1,gr0             ; op1 = -2**31, special case
        b               mpy2
        sub             0,op1,op1               ; op1 = |multiplicand|
        add,>=          op2,gr0,gr0             ; if op2 < 0, invert sign,
        xor             pm,sign,sign            ;   for correct result
        movb,tr         op2,op1,mmax            ; use op2 as multiplicand
        shd             op1,0,1,pl              ; shift it left 31 bits
;
sh3c:   shd             pu,pl,3,pl              ; shift product 3 bits
        shd             pc,pu,3,pu              ; shift 3 signed
        addb,tr         op1,pu,sh1              ; add op1, to shift 1 bit
        shd             pu,pl,1,pl
;
sh3us:  extru           pu,28,29,pu             ; shift 3 unsigned
        addb,tr         op1,pu,sh1              ; add op1, to shift 1 bit
        shd             pu,pl,1,pl
;
sh3sa:  extrs           pu,28,29,pu             ; shift 3 signed
        addb,tr         op1,pu,sh1              ; add op1, to shift 1 bit
        shd             pu,pl,1,pl
;
sh3s:   shd             pu,pl,3,pl              ; shift 3 minus signed
        shd             pm,pu,3,pu
        addb,tr         op1,pu,sh1              ; add op1, to shift 1 bit
        shd             pu,pl,1,pl
;
sh1:    addib,>         -1,cnt,mloop            ; loop if count > 0
        extru           pu,30,31,pu
        b               signs                   ; end of multiply
        bb,>=,n         sign,0,fini             ; test sign of product
;
sh2ns:  addib,tr        1,brindex,sh2sb+4       ; increment index
        extru           pu,29,30,pu             ; shift unsigned
;
sh2s:   shd             pu,pl,2,pl              ; shift with minus sign
        shd             pm,pu,2,pu              ;
        sub             pu,op1,pu               ; subtract op1
        shd             pu,pl,2,pl              ; shift with minus sign
        addib,tr        -1,cnt,mloop            ; decrement count, loop
        shd             pm,pu,2,pu              ; shift with minus sign
                                                ; count never reaches 0 here
;
sh2sb:  extrs           pu,29,30,pu             ; shift 2 signed
        sub             pu,op1,pu               ; subtract op1 from product
        shd             pu,pl,2,pl              ; shift with minus sign
        addib,tr        -1,cnt,mloop            ; decrement count, loop
        shd             pm,pu,2,pu              ; shift with minus sign
                                                ; count never reaches 0 here
;
sh1sa:  extrs           pu,30,31,pu             ;   signed
        sub             pu,op1,pu               ; subtract op1 from product
        shd             pu,pl,3,pl              ; shift 3 with minus sign
        addib,tr        -1,cnt,mloop            ; dec. count, to loop
        shd             pm,pu,3,pu              ; count never reaches 0 here
;
fini0:  movib,tr,n      0,pl,fini               ; product = 0 as op1 = 0
;
sh2us:  extru           pu,29,30,pu             ; shift 2 unsigned
        addb,tr         op1,pu,sh2a             ; add op1
        shd             pu,pl,2,pl              ; shift 2 bits
;
sh2c:   shd             pu,pl,2,pl
        shd             pc,pu,2,pu              ; shift with carry
        addb,tr         op1,pu,sh2a             ; add op1 to product
        shd             pu,pl,2,pl              ; br. to sh2 to shift pu
;
sh2sa:  extrs           pu,29,30,pu             ; shift with sign
        addb,tr         op1,pu,sh2a             ; add op1 to product
        shd             pu,pl,2,pl              ; br. to sh2 to shift pu
;
sh2a:   addib,>         -1,cnt,mloop            ; loop if count > 0
        extru           pu,29,30,pu
;
mulend: bb,>=,n         sign,0,fini             ; test sign of product
signs:  sub             0,pl,pl                 ; negate product if sign
        subb            0,pu,pu                 ;   is negative
;
;       finish
;
fini:   stws            pu,0(%arg2)             ; save high part of result
        stws            pl,4(%arg2)             ; save low part of result

        ldws,mb         -4(%sp),pm              ; restore registers
        ldws,mb         -4(%sp),pc              ; restore registers
        ldws,mb         -4(%sp),sign            ; restore registers
        ldws,mb         -4(%sp),brindex         ; restore registers
        ldws,mb         -4(%sp),cnt             ; restore registers
        ldws,mb         -4(%sp),op1             ; restore registers
        ldws,mb         -4(%sp),pl              ; restore registers
        bv              0(%rp)                  ; return
        ldws,mb         -4(%sp),pu              ; restore registers

EXIT(impys)
        .end