~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
MOTOROLA MICROPROCESSOR & MEMORY TECHNOLOGY GROUP
M68000 Hi-Performance Microprocessor Division
M68060 Software Package
Production Release P1.00 -- October 10, 1994
M68060 Software Package Copyright © 1993, 1994 Motorola Inc. All rights reserved.
THE SOFTWARE is provided on an "AS IS" basis and without warranty.
To the maximum extent permitted by applicable law,
MOTOROLA DISCLAIMS ALL WARRANTIES WHETHER EXPRESS OR IMPLIED,
INCLUDING IMPLIED WARRANTIES OF MERCHANTABILITY OR FITNESS FOR A PARTICULAR PURPOSE
and any warranty against infringement with regard to the SOFTWARE
(INCLUDING ANY MODIFIED VERSIONS THEREOF) and any accompanying written materials.
To the maximum extent permitted by applicable law,
IN NO EVENT SHALL MOTOROLA BE LIABLE FOR ANY DAMAGES WHATSOEVER
(INCLUDING WITHOUT LIMITATION, DAMAGES FOR LOSS OF BUSINESS PROFITS,
BUSINESS INTERRUPTION, LOSS OF BUSINESS INFORMATION, OR OTHER PECUNIARY LOSS)
ARISING OF THE USE OR INABILITY TO USE THE SOFTWARE.
Motorola assumes no responsibility for the maintenance and support of the SOFTWARE.
You are hereby granted a copyright license to use, modify, and distribute the SOFTWARE
so long as this entire notice is retained without alteration in any modified and/or
redistributed versions, and that such modified versions are clearly identified as such.
No licenses are granted by implication, estoppel or otherwise under any patents
or trademarks of Motorola, Inc.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
#
bra.l _060LSP__idivs64_
short 0x0000
bra.l _060LSP__idivu64_
short 0x0000
bra.l _060LSP__imuls64_
short 0x0000
bra.l _060LSP__imulu64_
short 0x0000
bra.l _060LSP__cmp2_Ab_
short 0x0000
bra.l _060LSP__cmp2_Aw_
short 0x0000
bra.l _060LSP__cmp2_Al_
short 0x0000
bra.l _060LSP__cmp2_Db_
short 0x0000
bra.l _060LSP__cmp2_Dw_
short 0x0000
bra.l _060LSP__cmp2_Dl_
short 0x0000
align 0x200
#########################################################################
# #
# 64-bit divide instruction. #
# #
# #
# 0x4(sp) = divisor #
# 0x8(sp) = hi(dividend) #
# 0xc(sp) = lo(dividend) #
# 0x10(sp) = pointer to location to place quotient/remainder #
# #
# 0x10(sp) = points to location of remainder/quotient. #
# #
# #
#########################################################################
set POSNEG, -1
set NDIVISOR, -2
set NDIVIDEND, -3
set DDSECOND, -4
set DDNORMAL, -8
set DDQUOTIENT, -12
set DIV64_CC, -16
##########
##########
global _060LSP__idivs64_
_060LSP__idivs64_:
link.w %a6,&-16
movm.l &0x3f00,-(%sp) # save d2-d7
mov.w %cc,DIV64_CC(%a6)
st POSNEG(%a6) # signed operation
bra.b ldiv64_cont
##########
##########
global _060LSP__idivu64_
_060LSP__idivu64_:
link.w %a6,&-16
movm.l &0x3f00,-(%sp) # save d2-d7
mov.w %cc,DIV64_CC(%a6)
sf POSNEG(%a6) # unsigned operation
ldiv64_cont:
mov.l 0x8(%a6),%d7 # fetch divisor
beq.w ldiv64eq0 # divisor is = 0!!!
mov.l 0xc(%a6), %d5 # get dividend hi
mov.l 0x10(%a6), %d6 # get dividend lo
tst.b POSNEG(%a6) # signed or unsigned?
beq.b ldspecialcases # use positive divide
tst.l %d7 # chk sign of divisor
slt NDIVISOR(%a6) # save sign of divisor
bpl.b ldsgndividend
neg.l %d7 # complement negative divisor
ldsgndividend:
tst.l %d5 # chk sign of hi(dividend)
slt NDIVIDEND(%a6) # save sign of dividend
bpl.b ldspecialcases
mov.w &0x0, %cc # clear 'X' cc bit
negx.l %d6 # complement signed dividend
negx.l %d5
# - is (dividend == 0) ?
# - is (hi(dividend) == 0 && (divisor <= lo(dividend))) ? (32-bit div)
ldspecialcases:
tst.l %d5 # is (hi(dividend) == 0)
bne.b ldnormaldivide # no, so try it the long way
tst.l %d6 # is (lo(dividend) == 0), too
beq.w lddone # yes, so (dividend == 0)
cmp.l %d7,%d6 # is (divisor <= lo(dividend))
bls.b ld32bitdivide # yes, so use 32 bit divide
exg %d5,%d6 # q = 0, r = dividend
bra.w ldivfinish # can't divide, we're done.
ld32bitdivide:
tdivu.l %d7, %d5:%d6 # it's only a 32/32 bit div!
bra.b ldivfinish
ldnormaldivide:
# - is hi(dividend) >= divisor ? if yes, then overflow
cmp.l %d7,%d5
bls.b lddovf # answer won't fit in 32 bits
bsr.l ldclassical # do int divide
ldivfinish:
tst.b POSNEG(%a6) # do divs, divu separately
beq.b lddone # divu has no processing!!!
tst.b NDIVIDEND(%a6) # remainder has same sign
beq.b ldcc # as dividend.
neg.l %d5 # sgn(rem) = sgn(dividend)
ldcc:
mov.b NDIVISOR(%a6), %d0
eor.b %d0, NDIVIDEND(%a6) # chk if quotient is negative
beq.b ldqpos # branch to quot positive
# 0x80000000 is the largest number representable as a 32-bit negative
cmpi.l %d6, &0x80000000 # will (-quot) fit in 32 bits?
bhi.b lddovf
neg.l %d6 # make (-quot) 2's comp
bra.b lddone
ldqpos:
btst &0x1f, %d6 # will (+quot) fit in 32 bits?
bne.b lddovf
lddone:
# if the register numbers are the same, only the quotient gets saved.
andi.w &0x10,DIV64_CC(%a6)
mov.w DIV64_CC(%a6),%cc
tst.l %d6 # may set 'N' ccode bit
ldexit:
movm.l &0x0060,([0x14,%a6]) # save result
movm.l (%sp)+,&0x00fc # restore d2-d7
unlk %a6
rts
lddovf:
mov.l 0xc(%a6), %d5 # get dividend hi
mov.l 0x10(%a6), %d6 # get dividend lo
andi.w &0x1c,DIV64_CC(%a6)
ori.w &0x02,DIV64_CC(%a6) # set 'V' ccode bit
mov.w DIV64_CC(%a6),%cc
bra.b ldexit
ldiv64eq0:
mov.l 0xc(%a6),([0x14,%a6])
mov.l 0x10(%a6),([0x14,%a6],0x4)
mov.w DIV64_CC(%a6),%cc
movm.l (%sp)+,&0x00fc # restore d2-d7
unlk %a6
divu.w &0x0,%d0 # force a divbyzero exception
rts
###########################################################################
#########################################################################
# #
#########################################################################
ldclassical:
# if the divisor msw is 0, use simpler algorithm then the full blown
cmpi.l %d7, &0xffff
bhi.b lddknuth # go use D. Knuth algorithm
clr.l %d1
swap %d5 # same as r*b if previous step rqd
swap %d6 # get u3 to lsw position
mov.w %d6, %d5 # rb + u3
divu.w %d7, %d5
mov.w %d5, %d1 # first quotient word
swap %d6 # get u4
mov.w %d6, %d5 # rb + u4
divu.w %d7, %d5
swap %d1
mov.w %d5, %d1 # 2nd quotient 'digit'
clr.w %d5
swap %d5 # now remainder
mov.l %d1, %d6 # and quotient
rts
lddknuth:
# 'normalized' so that the process of estimating the quotient digit
clr.l DDNORMAL(%a6) # count of shifts for normalization
clr.b DDSECOND(%a6) # clear flag for quotient digits
clr.l %d1 # %d1 will hold trial quotient
lddnchk:
btst &31, %d7 # must we normalize? first word of
bne.b lddnormalized # divisor (V1) must be >= 65536/2
addq.l &0x1, DDNORMAL(%a6) # count normalization shifts
lsl.l &0x1, %d7 # shift the divisor
lsl.l &0x1, %d6 # shift u4,u3 with overflow to u2
roxl.l &0x1, %d5 # shift u1,u2
bra.w lddnchk
lddnormalized:
mov.l %d7, %d3 # divisor
mov.l %d5, %d2 # dividend mslw
swap %d2
swap %d3
cmp.w %d2, %d3 # V1 = U1 ?
bne.b lddqcalc1
mov.w &0xffff, %d1 # use max trial quotient word
bra.b lddadj0
lddqcalc1:
mov.l %d5, %d1
divu.w %d3, %d1 # use quotient of mslw/msw
andi.l &0x0000ffff, %d1 # zero any remainder
lddadj0:
mov.l %d6, -(%sp)
clr.w %d6 # word u3 left
swap %d6 # in lsw position
lddadj1: mov.l %d7, %d3
mov.l %d1, %d2
mulu.w %d7, %d2 # V2q
swap %d3
mulu.w %d1, %d3 # V1q
mov.l %d5, %d4 # U1U2
sub.l %d3, %d4 # U1U2 - V1q
swap %d4
mov.w %d4,%d0
mov.w %d6,%d4 # insert lower word (U3)
tst.w %d0 # is upper word set?
bne.w lddadjd1
cmp.l %d2, %d4
bls.b lddadjd1 # is V2q > (U1U2-V1q) + U3 ?
subq.l &0x1, %d1 # yes, decrement and recheck
bra.b lddadj1
lddadjd1:
mov.l %d5, -(%sp) # save %d5 (%d6 already saved)
mov.l %d1, %d6
swap %d6 # shift answer to ms 3 words
mov.l %d7, %d5
bsr.l ldmm2
mov.l %d5, %d2 # now %d2,%d3 are trial*divisor
mov.l %d6, %d3
mov.l (%sp)+, %d5 # restore dividend
mov.l (%sp)+, %d6
sub.l %d3, %d6
subx.l %d2, %d5 # subtract double precision
bcc ldd2nd # no carry, do next quotient digit
subq.l &0x1, %d1 # q is one too large
# - according to Knuth, this is done only 2 out of 65536 times for random
clr.l %d2
mov.l %d7, %d3
swap %d3
clr.w %d3 # %d3 now ls word of divisor
add.l %d3, %d6 # aligned with 3rd word of dividend
addx.l %d2, %d5
mov.l %d7, %d3
clr.w %d3 # %d3 now ms word of divisor
swap %d3 # aligned with 2nd word of dividend
add.l %d3, %d5
ldd2nd:
tst.b DDSECOND(%a6) # both q words done?
bne.b lddremain
# (subtracted) dividend
mov.w %d1, DDQUOTIENT(%a6)
clr.l %d1
swap %d5
swap %d6
mov.w %d6, %d5
clr.w %d6
st DDSECOND(%a6) # second digit
bra.w lddnormalized
lddremain:
mov.w %d1, DDQUOTIENT+2(%a6)
mov.w %d5, %d6
swap %d6
swap %d5
mov.l DDNORMAL(%a6), %d7 # get norm shift count
beq.b lddrn
subq.l &0x1, %d7 # set for loop count
lddnlp:
lsr.l &0x1, %d5 # shift into %d6
roxr.l &0x1, %d6
dbf %d7, lddnlp
lddrn:
mov.l %d6, %d5 # remainder
mov.l DDQUOTIENT(%a6), %d6 # quotient
rts
ldmm2:
mov.l %d6, %d2
mov.l %d6, %d3
mov.l %d5, %d4
swap %d3
swap %d4
mulu.w %d5, %d6 # %d6 <- lsw*lsw
mulu.w %d3, %d5 # %d5 <- msw-dest*lsw-source
mulu.w %d4, %d2 # %d2 <- msw-source*lsw-dest
mulu.w %d4, %d3 # %d3 <- msw*msw
clr.l %d4
swap %d6
add.w %d5, %d6 # add msw of l*l to lsw of m*l product
addx.w %d4, %d3 # add any carry to m*m product
add.w %d2, %d6 # add in lsw of other m*l product
addx.w %d4, %d3 # add any carry to m*m product
swap %d6 # %d6 is low 32 bits of final product
clr.w %d5
clr.w %d2 # lsw of two mixed products used,
swap %d5 # now use msws of longwords
swap %d2
add.l %d2, %d5
add.l %d3, %d5 # %d5 now ms 32 bits of final product
rts
#########################################################################
# #
# 64-bit multiply instruction. #
# #
# #
# 0x4(sp) = multiplier #
# 0x8(sp) = multiplicand #
# 0xc(sp) = pointer to location to place 64-bit result #
# #
# 0xc(sp) = points to location of 64-bit result #
# #
# "rts". #
# #
#########################################################################
set MUL64_CC, -4
global _060LSP__imulu64_
_060LSP__imulu64_:
link.w %a6,&-4
movm.l &0x3800,-(%sp) # save d2-d4
mov.w %cc,MUL64_CC(%a6) # save incoming ccodes
mov.l 0x8(%a6),%d0 # store multiplier in d0
beq.w mulu64_zero # handle zero separately
mov.l 0xc(%a6),%d1 # get multiplicand in d1
beq.w mulu64_zero # handle zero separately
#########################################################################
# 63 32 0 #
# ---------------------------- #
# | hi(mplier) * hi(mplicand)| #
# ---------------------------- #
# ----------------------------- #
# | hi(mplier) * lo(mplicand) | #
# ----------------------------- #
# ----------------------------- #
# | lo(mplier) * hi(mplicand) | #
# ----------------------------- #
# | ----------------------------- #
# --|-- | lo(mplier) * lo(mplicand) | #
# | ----------------------------- #
# ======================================================== #
# -------------------------------------------------------- #
# | hi(result) | lo(result) | #
# -------------------------------------------------------- #
#########################################################################
mulu64_alg:
mov.l %d0,%d2 # mr in d2
mov.l %d0,%d3 # mr in d3
mov.l %d1,%d4 # md in d4
swap %d3 # hi(mr) in lo d3
swap %d4 # hi(md) in lo d4
mulu.w %d1,%d0 # [1] lo(mr) * lo(md)
mulu.w %d3,%d1 # [2] hi(mr) * lo(md)
mulu.w %d4,%d2 # [3] lo(mr) * hi(md)
mulu.w %d4,%d3 # [4] hi(mr) * hi(md)
clr.l %d4 # load d4 w/ zero value
swap %d0 # hi([1]) <==> lo([1])
add.w %d1,%d0 # hi([1]) + lo([2])
addx.l %d4,%d3 # [4] + carry
add.w %d2,%d0 # hi([1]) + lo([3])
addx.l %d4,%d3 # [4] + carry
swap %d0 # lo([1]) <==> hi([1])
clr.w %d1 # clear lo([2])
clr.w %d2 # clear hi([3])
swap %d1 # hi([2]) in lo d1
swap %d2 # hi([3]) in lo d2
add.l %d2,%d1 # [4] + hi([2])
add.l %d3,%d1 # [4] + hi([3])
# 'N' CAN be set if the operation is unsigned if bit 63 is set.
mov.w MUL64_CC(%a6),%d4
andi.b &0x10,%d4 # keep old 'X' bit
tst.l %d1 # may set 'N' bit
bpl.b mulu64_ddone
ori.b &0x8,%d4 # set 'N' bit
mulu64_ddone:
mov.w %d4,%cc
mulu64_end:
exg %d1,%d0
movm.l &0x0003,([0x10,%a6]) # save result
movm.l (%sp)+,&0x001c # restore d2-d4
unlk %a6
rts
mulu64_zero:
clr.l %d0
clr.l %d1
mov.w MUL64_CC(%a6),%d4
andi.b &0x10,%d4
ori.b &0x4,%d4
mov.w %d4,%cc # set 'Z' ccode bit
bra.b mulu64_end
##########
##########
global _060LSP__imuls64_
_060LSP__imuls64_:
link.w %a6,&-4
movm.l &0x3c00,-(%sp) # save d2-d5
mov.w %cc,MUL64_CC(%a6) # save incoming ccodes
mov.l 0x8(%a6),%d0 # store multiplier in d0
beq.b mulu64_zero # handle zero separately
mov.l 0xc(%a6),%d1 # get multiplicand in d1
beq.b mulu64_zero # handle zero separately
clr.b %d5 # clear sign tag
tst.l %d0 # is multiplier negative?
bge.b muls64_chk_md_sgn # no
neg.l %d0 # make multiplier positive
ori.b &0x1,%d5 # save multiplier sgn
muls64_chk_md_sgn:
tst.l %d1 # is multiplicand negative?
bge.b muls64_alg # no
neg.l %d1 # make multiplicand positive
eori.b &0x1,%d5 # calculate correct sign
#########################################################################
# 63 32 0 #
# ---------------------------- #
# | hi(mplier) * hi(mplicand)| #
# ---------------------------- #
# ----------------------------- #
# | hi(mplier) * lo(mplicand) | #
# ----------------------------- #
# ----------------------------- #
# | lo(mplier) * hi(mplicand) | #
# ----------------------------- #
# | ----------------------------- #
# --|-- | lo(mplier) * lo(mplicand) | #
# | ----------------------------- #
# ======================================================== #
# -------------------------------------------------------- #
# | hi(result) | lo(result) | #
# -------------------------------------------------------- #
#########################################################################
muls64_alg:
mov.l %d0,%d2 # mr in d2
mov.l %d0,%d3 # mr in d3
mov.l %d1,%d4 # md in d4
swap %d3 # hi(mr) in lo d3
swap %d4 # hi(md) in lo d4
mulu.w %d1,%d0 # [1] lo(mr) * lo(md)
mulu.w %d3,%d1 # [2] hi(mr) * lo(md)
mulu.w %d4,%d2 # [3] lo(mr) * hi(md)
mulu.w %d4,%d3 # [4] hi(mr) * hi(md)
clr.l %d4 # load d4 w/ zero value
swap %d0 # hi([1]) <==> lo([1])
add.w %d1,%d0 # hi([1]) + lo([2])
addx.l %d4,%d3 # [4] + carry
add.w %d2,%d0 # hi([1]) + lo([3])
addx.l %d4,%d3 # [4] + carry
swap %d0 # lo([1]) <==> hi([1])
clr.w %d1 # clear lo([2])
clr.w %d2 # clear hi([3])
swap %d1 # hi([2]) in lo d1
swap %d2 # hi([3]) in lo d2
add.l %d2,%d1 # [4] + hi([2])
add.l %d3,%d1 # [4] + hi([3])
tst.b %d5 # should result be signed?
beq.b muls64_done # no
# -negate all bits and add 1
muls64_neg:
not.l %d0 # negate lo(result) bits
not.l %d1 # negate hi(result) bits
addq.l &1,%d0 # add 1 to lo(result)
addx.l %d4,%d1 # add carry to hi(result)
muls64_done:
mov.w MUL64_CC(%a6),%d4
andi.b &0x10,%d4 # keep old 'X' bit
tst.l %d1 # may set 'N' bit
bpl.b muls64_ddone
ori.b &0x8,%d4 # set 'N' bit
muls64_ddone:
mov.w %d4,%cc
muls64_end:
exg %d1,%d0
movm.l &0x0003,([0x10,%a6]) # save result at (a0)
movm.l (%sp)+,&0x003c # restore d2-d5
unlk %a6
rts
muls64_zero:
clr.l %d0
clr.l %d1
mov.w MUL64_CC(%a6),%d4
andi.b &0x10,%d4
ori.b &0x4,%d4
mov.w %d4,%cc # set 'Z' ccode bit
bra.b muls64_end
#########################################################################
# #
# #
# #
# 0x4(sp) = Rn #
# 0x8(sp) = pointer to boundary pair #
# #
# #
# #
#########################################################################
set CMP2_CC, -4
global _060LSP__cmp2_Ab_
_060LSP__cmp2_Ab_:
link.w %a6,&-4
movm.l &0x3800,-(%sp) # save d2-d4
mov.w %cc,CMP2_CC(%a6)
mov.l 0x8(%a6), %d2 # get regval
mov.b ([0xc,%a6],0x0),%d0
mov.b ([0xc,%a6],0x1),%d1
extb.l %d0 # sign extend lo bnd
extb.l %d1 # sign extend hi bnd
bra.w l_cmp2_cmp # go do the compare emulation
global _060LSP__cmp2_Aw_
_060LSP__cmp2_Aw_:
link.w %a6,&-4
movm.l &0x3800,-(%sp) # save d2-d4
mov.w %cc,CMP2_CC(%a6)
mov.l 0x8(%a6), %d2 # get regval
mov.w ([0xc,%a6],0x0),%d0
mov.w ([0xc,%a6],0x2),%d1
ext.l %d0 # sign extend lo bnd
ext.l %d1 # sign extend hi bnd
bra.w l_cmp2_cmp # go do the compare emulation
global _060LSP__cmp2_Al_
_060LSP__cmp2_Al_:
link.w %a6,&-4
movm.l &0x3800,-(%sp) # save d2-d4
mov.w %cc,CMP2_CC(%a6)
mov.l 0x8(%a6), %d2 # get regval
mov.l ([0xc,%a6],0x0),%d0
mov.l ([0xc,%a6],0x4),%d1
bra.w l_cmp2_cmp # go do the compare emulation
global _060LSP__cmp2_Db_
_060LSP__cmp2_Db_:
link.w %a6,&-4
movm.l &0x3800,-(%sp) # save d2-d4
mov.w %cc,CMP2_CC(%a6)
mov.l 0x8(%a6), %d2 # get regval
mov.b ([0xc,%a6],0x0),%d0
mov.b ([0xc,%a6],0x1),%d1
extb.l %d0 # sign extend lo bnd
extb.l %d1 # sign extend hi bnd
extb.l %d2 # sign extend data byte
bra.w l_cmp2_cmp # go do the compare emulation
global _060LSP__cmp2_Dw_
_060LSP__cmp2_Dw_:
link.w %a6,&-4
movm.l &0x3800,-(%sp) # save d2-d4
mov.w %cc,CMP2_CC(%a6)
mov.l 0x8(%a6), %d2 # get regval
mov.w ([0xc,%a6],0x0),%d0
mov.w ([0xc,%a6],0x2),%d1
ext.l %d0 # sign extend lo bnd
ext.l %d1 # sign extend hi bnd
ext.l %d2 # sign extend data word
bra.w l_cmp2_cmp # go emulate compare
global _060LSP__cmp2_Dl_
_060LSP__cmp2_Dl_:
link.w %a6,&-4
movm.l &0x3800,-(%sp) # save d2-d4
mov.w %cc,CMP2_CC(%a6)
mov.l 0x8(%a6), %d2 # get regval
mov.l ([0xc,%a6],0x0),%d0
mov.l ([0xc,%a6],0x4),%d1
#
# (1) save 'Z' bit from (Rn - lo)
# (2) save 'Z' and 'N' bits from ((hi - lo) - (Rn - hi))
# (3) keep 'X', 'N', and 'V' from before instruction
# (4) combine ccodes
#
l_cmp2_cmp:
sub.l %d0, %d2 # (Rn - lo)
mov.w %cc, %d3 # fetch resulting ccodes
andi.b &0x4, %d3 # keep 'Z' bit
sub.l %d0, %d1 # (hi - lo)
cmp.l %d1,%d2 # ((hi - lo) - (Rn - hi))
mov.w %cc, %d4 # fetch resulting ccodes
or.b %d4, %d3 # combine w/ earlier ccodes
andi.b &0x5, %d3 # keep 'Z' and 'N'
mov.w CMP2_CC(%a6), %d4 # fetch old ccodes
andi.b &0x1a, %d4 # keep 'X','N','V' bits
or.b %d3, %d4 # insert new ccodes
mov.w %d4,%cc # save new ccodes
movm.l (%sp)+,&0x001c # restore d2-d4
unlk %a6
rts