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/* $OpenBSD: divrem.m4,v 1.1 2001/08/29 01:34:56 art Exp $ */
/*
* Copyright (c) 1992, 1993
* The Regents of the University of California. All rights reserved.
*
* This software was developed by the Computer Systems Engineering group
* at Lawrence Berkeley Laboratory under DARPA contract BG 91-66 and
* contributed to Berkeley.
*
* Redistribution and use in source and binary forms, with or without
* modification, are permitted provided that the following conditions
* are met:
* 1. Redistributions of source code must retain the above copyright
* notice, this list of conditions and the following disclaimer.
* 2. Redistributions in binary form must reproduce the above copyright
* notice, this list of conditions and the following disclaimer in the
* documentation and/or other materials provided with the distribution.
* 3. All advertising materials mentioning features or use of this software
* must display the following acknowledgement:
* This product includes software developed by the University of
* California, Berkeley and its contributors.
* 4. Neither the name of the University nor the names of its contributors
* may be used to endorse or promote products derived from this software
* without specific prior written permission.
*
* THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
* ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
* IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
* ARE DISCLAIMED. IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
* FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
* DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
* OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
* HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
* LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
* SUCH DAMAGE.
*/
/*
* Division and remainder, from Appendix E of the Sparc Version 8
* Architecture Manual, with fixes from Gordon Irlam.
*/
/*
* Input: dividend and divisor in %o0 and %o1 respectively.
*
* m4 parameters:
* NAME name of function to generate
* OP OP=div => %o0 / %o1; OP=rem => %o0 % %o1
* S S=true => signed; S=false => unsigned
*
* Algorithm parameters:
* N how many bits per iteration we try to get (4)
* WORDSIZE total number of bits (32)
*
* Derived constants:
* TWOSUPN 2^N, for label generation (m4 exponentiation currently broken)
* TOPBITS number of bits in the top `decade' of a number
*
* Important variables:
* Q the partial quotient under development (initially 0)
* R the remainder so far, initially the dividend
* ITER number of main division loop iterations required;
* equal to ceil(log2(quotient) / N). Note that this
* is the log base (2^N) of the quotient.
* V the current comparand, initially divisor*2^(ITER*N-1)
*
* Cost:
* Current estimate for non-large dividend is
* ceil(log2(quotient) / N) * (10 + 7N/2) + C
* A large dividend is one greater than 2^(31-TOPBITS) and takes a
* different path, as the upper bits of the quotient must be developed
* one bit at a time.
*/
define(N, `4')
define(TWOSUPN, `16')
define(WORDSIZE, `32')
define(TOPBITS, eval(WORDSIZE - N*((WORDSIZE-1)/N)))
define(dividend, `%o0')
define(divisor, `%o1')
define(Q, `%o2')
define(R, `%o3')
define(ITER, `%o4')
define(V, `%o5')
/* m4 reminder: ifelse(a,b,c,d) => if a is b, then c, else d */
define(T, `%g1')
define(SC, `%g7')
ifelse(S, `true', `define(SIGN, `%g6')')
/*
* This is the recursive definition for developing quotient digits.
*
* Parameters:
* $1 the current depth, 1 <= $1 <= N
* $2 the current accumulation of quotient bits
* N max depth
*
* We add a new bit to $2 and either recurse or insert the bits in
* the quotient. R, Q, and V are inputs and outputs as defined above;
* the condition codes are expected to reflect the input R, and are
* modified to reflect the output R.
*/
define(DEVELOP_QUOTIENT_BITS,
` ! depth $1, accumulated bits $2
bl L.$1.eval(TWOSUPN+$2)
srl V,1,V
! remainder is positive
subcc R,V,R
ifelse($1, N,
` b 9f
add Q, ($2*2+1), Q
', ` DEVELOP_QUOTIENT_BITS(incr($1), `eval(2*$2+1)')')
L.$1.eval(TWOSUPN+$2):
! remainder is negative
addcc R,V,R
ifelse($1, N,
` b 9f
add Q, ($2*2-1), Q
', ` DEVELOP_QUOTIENT_BITS(incr($1), `eval(2*$2-1)')')
ifelse($1, 1, `9:')')
#include <machine/asm.h>
#include <machine/trap.h>
FUNC(NAME)
ifelse(S, `true',
` ! compute sign of result; if neither is negative, no problem
orcc divisor, dividend, %g0 ! either negative?
bge 2f ! no, go do the divide
ifelse(OP, `div',
`xor divisor, dividend, SIGN',
`mov dividend, SIGN') ! compute sign in any case
tst divisor
bge 1f
tst dividend
! divisor is definitely negative; dividend might also be negative
bge 2f ! if dividend not negative...
neg divisor ! in any case, make divisor nonneg
1: ! dividend is negative, divisor is nonnegative
neg dividend ! make dividend nonnegative
2:
')
! Ready to divide. Compute size of quotient; scale comparand.
orcc divisor, %g0, V
bnz 1f
mov dividend, R
! Divide by zero trap. If it returns, return 0 (about as
! wrong as possible, but that is what SunOS does...).
t ST_DIV0
retl
clr %o0
1:
cmp R, V ! if divisor exceeds dividend, done
blu Lgot_result ! (and algorithm fails otherwise)
clr Q
sethi %hi(1 << (WORDSIZE - TOPBITS - 1)), T
cmp R, T
blu Lnot_really_big
clr ITER
! `Here the dividend is >= 2^(31-N) or so. We must be careful here,
! as our usual N-at-a-shot divide step will cause overflow and havoc.
! The number of bits in the result here is N*ITER+SC, where SC <= N.
! Compute ITER in an unorthodox manner: know we need to shift V into
! the top decade: so do not even bother to compare to R.'
1:
cmp V, T
bgeu 3f
mov 1, SC
sll V, N, V
b 1b
inc ITER
! Now compute SC.
2: addcc V, V, V
bcc Lnot_too_big
inc SC
! We get here if the divisor overflowed while shifting.
! This means that R has the high-order bit set.
! Restore V and subtract from R.
sll T, TOPBITS, T ! high order bit
srl V, 1, V ! rest of V
add V, T, V
b Ldo_single_div
dec SC
Lnot_too_big:
3: cmp V, R
blu 2b
nop
be Ldo_single_div
nop
/* NB: these are commented out in the V8-Sparc manual as well */
/* (I do not understand this) */
! V > R: went too far: back up 1 step
! srl V, 1, V
! dec SC
! do single-bit divide steps
!
! We have to be careful here. We know that R >= V, so we can do the
! first divide step without thinking. BUT, the others are conditional,
! and are only done if R >= 0. Because both R and V may have the high-
! order bit set in the first step, just falling into the regular
! division loop will mess up the first time around.
! So we unroll slightly...
Ldo_single_div:
deccc SC
bl Lend_regular_divide
nop
sub R, V, R
mov 1, Q
b Lend_single_divloop
nop
Lsingle_divloop:
sll Q, 1, Q
bl 1f
srl V, 1, V
! R >= 0
sub R, V, R
b 2f
inc Q
1: ! R < 0
add R, V, R
dec Q
2:
Lend_single_divloop:
deccc SC
bge Lsingle_divloop
tst R
b,a Lend_regular_divide
Lnot_really_big:
1:
sll V, N, V
cmp V, R
bleu 1b
inccc ITER
be Lgot_result
dec ITER
tst R ! set up for initial iteration
Ldivloop:
sll Q, N, Q
DEVELOP_QUOTIENT_BITS(1, 0)
Lend_regular_divide:
deccc ITER
bge Ldivloop
tst R
bl,a Lgot_result
! non-restoring fixup here (one instruction only!)
ifelse(OP, `div',
` dec Q
', ` add R, divisor, R
')
Lgot_result:
ifelse(S, `true',
` ! check to see if answer should be < 0
tst SIGN
bl,a 1f
ifelse(OP, `div', `neg Q', `neg R')
1:')
retl
ifelse(OP, `div', `mov Q, %o0', `mov R, %o0')
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