733 lines
17 KiB
Raku
Executable file
733 lines
17 KiB
Raku
Executable file
#!/usr/bin/env perl
|
||
|
||
# ====================================================================
|
||
# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
|
||
# project. Rights for redistribution and usage in source and binary
|
||
# forms are granted according to the OpenSSL license.
|
||
# ====================================================================
|
||
|
||
# October 2005
|
||
#
|
||
# "Teaser" Montgomery multiplication module for UltraSPARC. Why FPU?
|
||
# Because unlike integer multiplier, which simply stalls whole CPU,
|
||
# FPU is fully pipelined and can effectively emit 48 bit partial
|
||
# product every cycle. Why not blended SPARC v9? One can argue that
|
||
# making this module dependent on UltraSPARC VIS extension limits its
|
||
# binary compatibility. Well yes, it does exclude SPARC64 prior-V(!)
|
||
# implementations from compatibility matrix. But the rest, whole Sun
|
||
# UltraSPARC family and brand new Fujitsu's SPARC64 V, all support
|
||
# VIS extension instructions used in this module. This is considered
|
||
# good enough to recommend HAL SPARC64 users [if any] to simply fall
|
||
# down to no-asm configuration.
|
||
|
||
# USI&II cores currently exhibit uniform 2x improvement [over pre-
|
||
# bn_mul_mont codebase] for all key lengths and benchmarks. On USIII
|
||
# performance improves few percents for shorter keys and worsens few
|
||
# percents for longer keys. This is because USIII integer multiplier
|
||
# is >3x faster than USI&II one, which is harder to match [but see
|
||
# TODO list below]. It should also be noted that SPARC64 V features
|
||
# out-of-order execution, which *might* mean that integer multiplier
|
||
# is pipelined, which in turn *might* be impossible to match... On
|
||
# additional note, SPARC64 V implements FP Multiply-Add instruction,
|
||
# which is perfectly usable in this context... In other words, as far
|
||
# as HAL/Fujitsu SPARC64 family goes, talk to the author:-)
|
||
|
||
# In 32-bit context the implementation implies following additional
|
||
# limitations on input arguments:
|
||
# - num may not be less than 4;
|
||
# - num has to be even;
|
||
# - ap, bp, rp, np has to be 64-bit aligned [which is not a problem
|
||
# as long as BIGNUM.d are malloc-ated];
|
||
# Failure to meet either condition has no fatal effects, simply
|
||
# doesn't give any performance gain.
|
||
|
||
# TODO:
|
||
# - modulo-schedule inner loop for better performance (on in-order
|
||
# execution core such as UltraSPARC this shall result in further
|
||
# noticeable(!) improvement);
|
||
# - dedicated squaring procedure[?];
|
||
|
||
$fname="bn_mul_mont";
|
||
$bits=32;
|
||
for (@ARGV) {
|
||
$bits=64 if (/\-m64/ || /\-xarch\=v9/);
|
||
$vis=1 if (/\-mcpu=ultra/ || /\-xarch\=v[9|8plus]\S/);
|
||
}
|
||
|
||
if (!$vis) {
|
||
print<<___;
|
||
.section ".text",#alloc,#execinstr
|
||
.global $fname
|
||
$fname:
|
||
retl
|
||
xor %o0,%o0,%o0 ! just signal "not implemented"
|
||
.type $fname,#function
|
||
.size $fname,(.-$fname)
|
||
___
|
||
exit;
|
||
}
|
||
|
||
if ($bits==64) {
|
||
$bias=2047;
|
||
$frame=192;
|
||
} else {
|
||
$bias=0;
|
||
$frame=128; # 96 rounded up to largest known cache-line
|
||
}
|
||
$locals=64;
|
||
|
||
# In order to provide for 32-/64-bit ABI duality, I keep integers wider
|
||
# than 32 bit in %g1-%g4 and %o0-%o5. %l0-%l7 and %i0-%i5 are used
|
||
# exclusively for pointers, indexes and other small values...
|
||
# int bn_mul_mont(
|
||
$rp="%i0"; # BN_ULONG *rp,
|
||
$ap="%i1"; # const BN_ULONG *ap,
|
||
$bp="%i2"; # const BN_ULONG *bp,
|
||
$np="%i3"; # const BN_ULONG *np,
|
||
$n0="%i4"; # const BN_ULONG *n0,
|
||
$num="%i5"; # int num);
|
||
|
||
$tp="%l0"; # t[num]
|
||
$ap_l="%l1"; # a[num],n[num] are smashed to 32-bit words and saved
|
||
$ap_h="%l2"; # to these four vectors as double-precision FP values.
|
||
$np_l="%l3"; # This way a bunch of fxtods are eliminated in second
|
||
$np_h="%l4"; # loop and L1-cache aliasing is minimized...
|
||
$i="%l5";
|
||
$j="%l6";
|
||
$mask="%l7"; # 16-bit mask, 0xffff
|
||
|
||
$n0="%g4"; # reassigned(!) to "64-bit" register
|
||
$carry="%i4"; # %i4 reused(!) for a carry bit
|
||
|
||
# FP register naming chart
|
||
#
|
||
# ..HILO
|
||
# dcba
|
||
# --------
|
||
# LOa
|
||
# LOb
|
||
# LOc
|
||
# LOd
|
||
# HIa
|
||
# HIb
|
||
# HIc
|
||
# HId
|
||
# ..a
|
||
# ..b
|
||
$ba="%f0"; $bb="%f2"; $bc="%f4"; $bd="%f6";
|
||
$na="%f8"; $nb="%f10"; $nc="%f12"; $nd="%f14";
|
||
$alo="%f16"; $alo_="%f17"; $ahi="%f18"; $ahi_="%f19";
|
||
$nlo="%f20"; $nlo_="%f21"; $nhi="%f22"; $nhi_="%f23";
|
||
|
||
$dota="%f24"; $dotb="%f26";
|
||
|
||
$aloa="%f32"; $alob="%f34"; $aloc="%f36"; $alod="%f38";
|
||
$ahia="%f40"; $ahib="%f42"; $ahic="%f44"; $ahid="%f46";
|
||
$nloa="%f48"; $nlob="%f50"; $nloc="%f52"; $nlod="%f54";
|
||
$nhia="%f56"; $nhib="%f58"; $nhic="%f60"; $nhid="%f62";
|
||
|
||
$ASI_FL16_P=0xD2; # magic ASI value to engage 16-bit FP load
|
||
|
||
$code=<<___;
|
||
.ident "UltraSPARC Montgomery multiply by <appro\@fy.chalmers.se>"
|
||
.section ".text",#alloc,#execinstr
|
||
|
||
.global $fname
|
||
.align 32
|
||
$fname:
|
||
save %sp,-$frame-$locals,%sp
|
||
sethi %hi(0xffff),$mask
|
||
or $mask,%lo(0xffff),$mask
|
||
___
|
||
$code.=<<___ if ($bits==64);
|
||
ldx [%i4],$n0 ! $n0 reassigned, remember?
|
||
___
|
||
$code.=<<___ if ($bits==32);
|
||
cmp $num,4
|
||
bl,a,pn %icc,.Lret
|
||
clr %i0
|
||
andcc $num,1,%g0 ! $num has to be even...
|
||
bnz,a,pn %icc,.Lret
|
||
clr %i0 ! signal "unsupported input value"
|
||
or $bp,$ap,%l0
|
||
srl $num,1,$num
|
||
or $rp,$np,%l1
|
||
or %l0,%l1,%l0
|
||
andcc %l0,7,%g0 ! ...and pointers has to be 8-byte aligned
|
||
bnz,a,pn %icc,.Lret
|
||
clr %i0 ! signal "unsupported input value"
|
||
ld [%i4+0],$n0 ! $n0 reassigned, remember?
|
||
ld [%i4+4],%o0
|
||
sllx %o0,32,%o0
|
||
or %o0,$n0,$n0 ! $n0=n0[1].n0[0]
|
||
___
|
||
$code.=<<___;
|
||
sll $num,3,$num ! num*=8
|
||
|
||
add %sp,$bias,%o0 ! real top of stack
|
||
sll $num,2,%o1
|
||
add %o1,$num,%o1 ! %o1=num*5
|
||
sub %o0,%o1,%o0
|
||
and %o0,-2048,%o0 ! optimize TLB utilization
|
||
sub %o0,$bias,%sp ! alloca(5*num*8)
|
||
|
||
rd %asi,%o7 ! save %asi
|
||
add %sp,$bias+$frame+$locals,$tp
|
||
add $tp,$num,$ap_l
|
||
add $ap_l,$num,$ap_l ! [an]p_[lh] point at the vectors' ends !
|
||
add $ap_l,$num,$ap_h
|
||
add $ap_h,$num,$np_l
|
||
add $np_l,$num,$np_h
|
||
|
||
wr %g0,$ASI_FL16_P,%asi ! setup %asi for 16-bit FP loads
|
||
|
||
add $rp,$num,$rp ! readjust input pointers to point
|
||
add $ap,$num,$ap ! at the ends too...
|
||
add $bp,$num,$bp
|
||
add $np,$num,$np
|
||
|
||
stx %o7,[%sp+$bias+$frame+48] ! save %asi
|
||
|
||
sub %g0,$num,$i
|
||
sub %g0,$num,$j
|
||
|
||
add $ap,$j,%o3
|
||
add $bp,$i,%o4
|
||
___
|
||
$code.=<<___ if ($bits==64);
|
||
ldx [$bp+$i],%o0 ! bp[0]
|
||
ldx [$ap+$j],%o1 ! ap[0]
|
||
___
|
||
$code.=<<___ if ($bits==32);
|
||
ldd [$bp+$i],%o0 ! bp[0]
|
||
ldd [$ap+$j],%g2 ! ap[0]
|
||
sllx %o1,32,%o1
|
||
sllx %g3,32,%g3
|
||
or %o0,%o1,%o0
|
||
or %g2,%g3,%o1
|
||
___
|
||
$code.=<<___;
|
||
add $np,$j,%o5
|
||
|
||
mulx %o1,%o0,%o0 ! ap[0]*bp[0]
|
||
mulx $n0,%o0,%o0 ! ap[0]*bp[0]*n0
|
||
stx %o0,[%sp+$bias+$frame+0]
|
||
|
||
ld [%o3+`$bits==32 ? 0 : 4`],$alo_ ! load a[j] as pair of 32-bit words
|
||
fzeros $alo
|
||
ld [%o3+`$bits==32 ? 4 : 0`],$ahi_
|
||
fzeros $ahi
|
||
ld [%o5+`$bits==32 ? 0 : 4`],$nlo_ ! load n[j] as pair of 32-bit words
|
||
fzeros $nlo
|
||
ld [%o5+`$bits==32 ? 4 : 0`],$nhi_
|
||
fzeros $nhi
|
||
|
||
! transfer b[i] to FPU as 4x16-bit values
|
||
ldda [%o4+`$bits==32 ? 2 : 6`]%asi,$ba
|
||
fxtod $alo,$alo
|
||
ldda [%o4+`$bits==32 ? 0 : 4`]%asi,$bb
|
||
fxtod $ahi,$ahi
|
||
ldda [%o4+`$bits==32 ? 6 : 2`]%asi,$bc
|
||
fxtod $nlo,$nlo
|
||
ldda [%o4+`$bits==32 ? 4 : 0`]%asi,$bd
|
||
fxtod $nhi,$nhi
|
||
|
||
! transfer ap[0]*b[0]*n0 to FPU as 4x16-bit values
|
||
ldda [%sp+$bias+$frame+6]%asi,$na
|
||
fxtod $ba,$ba
|
||
ldda [%sp+$bias+$frame+4]%asi,$nb
|
||
fxtod $bb,$bb
|
||
ldda [%sp+$bias+$frame+2]%asi,$nc
|
||
fxtod $bc,$bc
|
||
ldda [%sp+$bias+$frame+0]%asi,$nd
|
||
fxtod $bd,$bd
|
||
|
||
std $alo,[$ap_l+$j] ! save smashed ap[j] in double format
|
||
fxtod $na,$na
|
||
std $ahi,[$ap_h+$j]
|
||
fxtod $nb,$nb
|
||
std $nlo,[$np_l+$j] ! save smashed np[j] in double format
|
||
fxtod $nc,$nc
|
||
std $nhi,[$np_h+$j]
|
||
fxtod $nd,$nd
|
||
|
||
fmuld $alo,$ba,$aloa
|
||
fmuld $nlo,$na,$nloa
|
||
fmuld $alo,$bb,$alob
|
||
fmuld $nlo,$nb,$nlob
|
||
fmuld $alo,$bc,$aloc
|
||
fmuld $nlo,$nc,$nloc
|
||
faddd $aloa,$nloa,$nloa
|
||
fmuld $alo,$bd,$alod
|
||
fmuld $nlo,$nd,$nlod
|
||
faddd $alob,$nlob,$nlob
|
||
fmuld $ahi,$ba,$ahia
|
||
fmuld $nhi,$na,$nhia
|
||
faddd $aloc,$nloc,$nloc
|
||
fmuld $ahi,$bb,$ahib
|
||
fmuld $nhi,$nb,$nhib
|
||
faddd $alod,$nlod,$nlod
|
||
fmuld $ahi,$bc,$ahic
|
||
fmuld $nhi,$nc,$nhic
|
||
faddd $ahia,$nhia,$nhia
|
||
fmuld $ahi,$bd,$ahid
|
||
fmuld $nhi,$nd,$nhid
|
||
|
||
faddd $ahib,$nhib,$nhib
|
||
faddd $ahic,$nhic,$dota ! $nhic
|
||
faddd $ahid,$nhid,$dotb ! $nhid
|
||
|
||
faddd $nloc,$nhia,$nloc
|
||
faddd $nlod,$nhib,$nlod
|
||
|
||
fdtox $nloa,$nloa
|
||
fdtox $nlob,$nlob
|
||
fdtox $nloc,$nloc
|
||
fdtox $nlod,$nlod
|
||
|
||
std $nloa,[%sp+$bias+$frame+0]
|
||
std $nlob,[%sp+$bias+$frame+8]
|
||
std $nloc,[%sp+$bias+$frame+16]
|
||
std $nlod,[%sp+$bias+$frame+24]
|
||
ldx [%sp+$bias+$frame+0],%o0
|
||
ldx [%sp+$bias+$frame+8],%o1
|
||
ldx [%sp+$bias+$frame+16],%o2
|
||
ldx [%sp+$bias+$frame+24],%o3
|
||
|
||
srlx %o0,16,%o7
|
||
add %o7,%o1,%o1
|
||
srlx %o1,16,%o7
|
||
add %o7,%o2,%o2
|
||
srlx %o2,16,%o7
|
||
add %o7,%o3,%o3 ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
|
||
!and %o0,$mask,%o0
|
||
!and %o1,$mask,%o1
|
||
!and %o2,$mask,%o2
|
||
!sllx %o1,16,%o1
|
||
!sllx %o2,32,%o2
|
||
!sllx %o3,48,%o7
|
||
!or %o1,%o0,%o0
|
||
!or %o2,%o0,%o0
|
||
!or %o7,%o0,%o0 ! 64-bit result
|
||
srlx %o3,16,%g1 ! 34-bit carry
|
||
|
||
ba .L1st
|
||
add $j,8,$j
|
||
.align 32
|
||
.L1st:
|
||
add $ap,$j,%o3
|
||
add $np,$j,%o4
|
||
ld [%o3+`$bits==32 ? 0 : 4`],$alo_ ! load a[j] as pair of 32-bit words
|
||
fzeros $alo
|
||
ld [%o3+`$bits==32 ? 4 : 0`],$ahi_
|
||
fzeros $ahi
|
||
ld [%o4+`$bits==32 ? 0 : 4`],$nlo_ ! load n[j] as pair of 32-bit words
|
||
fzeros $nlo
|
||
ld [%o4+`$bits==32 ? 4 : 0`],$nhi_
|
||
fzeros $nhi
|
||
|
||
fxtod $alo,$alo
|
||
fxtod $ahi,$ahi
|
||
fxtod $nlo,$nlo
|
||
fxtod $nhi,$nhi
|
||
|
||
std $alo,[$ap_l+$j] ! save smashed ap[j] in double format
|
||
fmuld $alo,$ba,$aloa
|
||
std $ahi,[$ap_h+$j]
|
||
fmuld $nlo,$na,$nloa
|
||
std $nlo,[$np_l+$j] ! save smashed np[j] in double format
|
||
fmuld $alo,$bb,$alob
|
||
std $nhi,[$np_h+$j]
|
||
fmuld $nlo,$nb,$nlob
|
||
fmuld $alo,$bc,$aloc
|
||
fmuld $nlo,$nc,$nloc
|
||
faddd $aloa,$nloa,$nloa
|
||
fmuld $alo,$bd,$alod
|
||
fmuld $nlo,$nd,$nlod
|
||
faddd $alob,$nlob,$nlob
|
||
fmuld $ahi,$ba,$ahia
|
||
fmuld $nhi,$na,$nhia
|
||
faddd $aloc,$nloc,$nloc
|
||
fmuld $ahi,$bb,$ahib
|
||
fmuld $nhi,$nb,$nhib
|
||
faddd $alod,$nlod,$nlod
|
||
fmuld $ahi,$bc,$ahic
|
||
fmuld $nhi,$nc,$nhic
|
||
faddd $ahia,$nhia,$nhia
|
||
fmuld $ahi,$bd,$ahid
|
||
fmuld $nhi,$nd,$nhid
|
||
faddd $ahib,$nhib,$nhib
|
||
|
||
faddd $dota,$nloa,$nloa
|
||
faddd $dotb,$nlob,$nlob
|
||
faddd $ahic,$nhic,$dota ! $nhic
|
||
faddd $ahid,$nhid,$dotb ! $nhid
|
||
|
||
faddd $nloc,$nhia,$nloc
|
||
faddd $nlod,$nhib,$nlod
|
||
|
||
fdtox $nloa,$nloa
|
||
fdtox $nlob,$nlob
|
||
fdtox $nloc,$nloc
|
||
fdtox $nlod,$nlod
|
||
|
||
std $nloa,[%sp+$bias+$frame+0]
|
||
std $nlob,[%sp+$bias+$frame+8]
|
||
std $nloc,[%sp+$bias+$frame+16]
|
||
std $nlod,[%sp+$bias+$frame+24]
|
||
ldx [%sp+$bias+$frame+0],%o0
|
||
ldx [%sp+$bias+$frame+8],%o1
|
||
ldx [%sp+$bias+$frame+16],%o2
|
||
ldx [%sp+$bias+$frame+24],%o3
|
||
|
||
srlx %o0,16,%o7
|
||
add %o7,%o1,%o1
|
||
srlx %o1,16,%o7
|
||
add %o7,%o2,%o2
|
||
srlx %o2,16,%o7
|
||
add %o7,%o3,%o3 ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
|
||
and %o0,$mask,%o0
|
||
and %o1,$mask,%o1
|
||
and %o2,$mask,%o2
|
||
sllx %o1,16,%o1
|
||
sllx %o2,32,%o2
|
||
sllx %o3,48,%o7
|
||
or %o1,%o0,%o0
|
||
or %o2,%o0,%o0
|
||
or %o7,%o0,%o0 ! 64-bit result
|
||
addcc %g1,%o0,%o0
|
||
srlx %o3,16,%g1 ! 34-bit carry
|
||
bcs,a %xcc,.+8
|
||
add %g1,1,%g1
|
||
|
||
stx %o0,[$tp] ! tp[j-1]=
|
||
addcc $j,8,$j
|
||
bnz,pt %icc,.L1st
|
||
add $tp,8,$tp
|
||
|
||
fdtox $dota,$dota
|
||
fdtox $dotb,$dotb
|
||
std $dota,[%sp+$bias+$frame+32]
|
||
std $dotb,[%sp+$bias+$frame+40]
|
||
ldx [%sp+$bias+$frame+32],%o0
|
||
ldx [%sp+$bias+$frame+40],%o1
|
||
|
||
srlx %o0,16,%o7
|
||
add %o7,%o1,%o1
|
||
and %o0,$mask,%o0
|
||
sllx %o1,16,%o7
|
||
or %o7,%o0,%o0
|
||
addcc %g1,%o0,%o0
|
||
srlx %o1,48,%g1
|
||
bcs,a %xcc,.+8
|
||
add %g1,1,%g1
|
||
|
||
mov %g1,$carry
|
||
stx %o0,[$tp] ! tp[num-1]=
|
||
|
||
ba .Louter
|
||
add $i,8,$i
|
||
.align 32
|
||
.Louter:
|
||
sub %g0,$num,$j
|
||
add %sp,$bias+$frame+$locals,$tp
|
||
|
||
add $bp,$i,%o4
|
||
___
|
||
$code.=<<___ if ($bits==64);
|
||
ldx [$bp+$i],%o0 ! bp[i]
|
||
ldx [$ap+$j],%o1 ! ap[0]
|
||
___
|
||
$code.=<<___ if ($bits==32);
|
||
ldd [$bp+$i],%o0 ! bp[i]
|
||
ldd [$ap+$j],%g2 ! ap[0]
|
||
sllx %o1,32,%o1
|
||
sllx %g3,32,%g3
|
||
or %o0,%o1,%o0
|
||
or %g2,%g3,%o1
|
||
___
|
||
$code.=<<___;
|
||
ldx [$tp],%o2 ! tp[0]
|
||
mulx %o1,%o0,%o0
|
||
addcc %o2,%o0,%o0
|
||
mulx $n0,%o0,%o0 ! (ap[0]*bp[i]+t[0])*n0
|
||
stx %o0,[%sp+$bias+$frame+0]
|
||
|
||
|
||
! transfer b[i] to FPU as 4x16-bit values
|
||
ldda [%o4+`$bits==32 ? 2 : 6`]%asi,$ba
|
||
ldda [%o4+`$bits==32 ? 0 : 4`]%asi,$bb
|
||
ldda [%o4+`$bits==32 ? 6 : 2`]%asi,$bc
|
||
ldda [%o4+`$bits==32 ? 4 : 0`]%asi,$bd
|
||
|
||
! transfer (ap[0]*b[i]+t[0])*n0 to FPU as 4x16-bit values
|
||
ldda [%sp+$bias+$frame+6]%asi,$na
|
||
fxtod $ba,$ba
|
||
ldda [%sp+$bias+$frame+4]%asi,$nb
|
||
fxtod $bb,$bb
|
||
ldda [%sp+$bias+$frame+2]%asi,$nc
|
||
fxtod $bc,$bc
|
||
ldda [%sp+$bias+$frame+0]%asi,$nd
|
||
fxtod $bd,$bd
|
||
ldd [$ap_l+$j],$alo ! load a[j] in double format
|
||
fxtod $na,$na
|
||
ldd [$ap_h+$j],$ahi
|
||
fxtod $nb,$nb
|
||
ldd [$np_l+$j],$nlo ! load n[j] in double format
|
||
fxtod $nc,$nc
|
||
ldd [$np_h+$j],$nhi
|
||
fxtod $nd,$nd
|
||
|
||
fmuld $alo,$ba,$aloa
|
||
fmuld $nlo,$na,$nloa
|
||
fmuld $alo,$bb,$alob
|
||
fmuld $nlo,$nb,$nlob
|
||
fmuld $alo,$bc,$aloc
|
||
fmuld $nlo,$nc,$nloc
|
||
faddd $aloa,$nloa,$nloa
|
||
fmuld $alo,$bd,$alod
|
||
fmuld $nlo,$nd,$nlod
|
||
faddd $alob,$nlob,$nlob
|
||
fmuld $ahi,$ba,$ahia
|
||
fmuld $nhi,$na,$nhia
|
||
faddd $aloc,$nloc,$nloc
|
||
fmuld $ahi,$bb,$ahib
|
||
fmuld $nhi,$nb,$nhib
|
||
faddd $alod,$nlod,$nlod
|
||
fmuld $ahi,$bc,$ahic
|
||
fmuld $nhi,$nc,$nhic
|
||
faddd $ahia,$nhia,$nhia
|
||
fmuld $ahi,$bd,$ahid
|
||
fmuld $nhi,$nd,$nhid
|
||
|
||
faddd $ahib,$nhib,$nhib
|
||
faddd $ahic,$nhic,$dota ! $nhic
|
||
faddd $ahid,$nhid,$dotb ! $nhid
|
||
|
||
faddd $nloc,$nhia,$nloc
|
||
faddd $nlod,$nhib,$nlod
|
||
|
||
fdtox $nloa,$nloa
|
||
fdtox $nlob,$nlob
|
||
fdtox $nloc,$nloc
|
||
fdtox $nlod,$nlod
|
||
|
||
std $nloa,[%sp+$bias+$frame+0]
|
||
std $nlob,[%sp+$bias+$frame+8]
|
||
std $nloc,[%sp+$bias+$frame+16]
|
||
std $nlod,[%sp+$bias+$frame+24]
|
||
ldx [%sp+$bias+$frame+0],%o0
|
||
ldx [%sp+$bias+$frame+8],%o1
|
||
ldx [%sp+$bias+$frame+16],%o2
|
||
ldx [%sp+$bias+$frame+24],%o3
|
||
|
||
srlx %o0,16,%o7
|
||
add %o7,%o1,%o1
|
||
srlx %o1,16,%o7
|
||
add %o7,%o2,%o2
|
||
srlx %o2,16,%o7
|
||
add %o7,%o3,%o3 ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
|
||
! why?
|
||
and %o0,$mask,%o0
|
||
and %o1,$mask,%o1
|
||
and %o2,$mask,%o2
|
||
sllx %o1,16,%o1
|
||
sllx %o2,32,%o2
|
||
sllx %o3,48,%o7
|
||
or %o1,%o0,%o0
|
||
or %o2,%o0,%o0
|
||
or %o7,%o0,%o0 ! 64-bit result
|
||
ldx [$tp],%o7
|
||
addcc %o7,%o0,%o0
|
||
! end-of-why?
|
||
srlx %o3,16,%g1 ! 34-bit carry
|
||
bcs,a %xcc,.+8
|
||
add %g1,1,%g1
|
||
|
||
ba .Linner
|
||
add $j,8,$j
|
||
.align 32
|
||
.Linner:
|
||
ldd [$ap_l+$j],$alo ! load a[j] in double format
|
||
ldd [$ap_h+$j],$ahi
|
||
ldd [$np_l+$j],$nlo ! load n[j] in double format
|
||
ldd [$np_h+$j],$nhi
|
||
|
||
fmuld $alo,$ba,$aloa
|
||
fmuld $nlo,$na,$nloa
|
||
fmuld $alo,$bb,$alob
|
||
fmuld $nlo,$nb,$nlob
|
||
fmuld $alo,$bc,$aloc
|
||
fmuld $nlo,$nc,$nloc
|
||
faddd $aloa,$nloa,$nloa
|
||
fmuld $alo,$bd,$alod
|
||
fmuld $nlo,$nd,$nlod
|
||
faddd $alob,$nlob,$nlob
|
||
fmuld $ahi,$ba,$ahia
|
||
fmuld $nhi,$na,$nhia
|
||
faddd $aloc,$nloc,$nloc
|
||
fmuld $ahi,$bb,$ahib
|
||
fmuld $nhi,$nb,$nhib
|
||
faddd $alod,$nlod,$nlod
|
||
fmuld $ahi,$bc,$ahic
|
||
fmuld $nhi,$nc,$nhic
|
||
faddd $ahia,$nhia,$nhia
|
||
fmuld $ahi,$bd,$ahid
|
||
fmuld $nhi,$nd,$nhid
|
||
|
||
faddd $ahib,$nhib,$nhib
|
||
faddd $dota,$nloa,$nloa
|
||
faddd $dotb,$nlob,$nlob
|
||
faddd $ahic,$nhic,$dota ! $nhic
|
||
faddd $ahid,$nhid,$dotb ! $nhid
|
||
|
||
faddd $nloc,$nhia,$nloc
|
||
faddd $nlod,$nhib,$nlod
|
||
|
||
fdtox $nloa,$nloa
|
||
fdtox $nlob,$nlob
|
||
fdtox $nloc,$nloc
|
||
fdtox $nlod,$nlod
|
||
|
||
std $nloa,[%sp+$bias+$frame+0]
|
||
std $nlob,[%sp+$bias+$frame+8]
|
||
std $nloc,[%sp+$bias+$frame+16]
|
||
std $nlod,[%sp+$bias+$frame+24]
|
||
ldx [%sp+$bias+$frame+0],%o0
|
||
ldx [%sp+$bias+$frame+8],%o1
|
||
ldx [%sp+$bias+$frame+16],%o2
|
||
ldx [%sp+$bias+$frame+24],%o3
|
||
|
||
srlx %o0,16,%o7
|
||
add %o7,%o1,%o1
|
||
srlx %o1,16,%o7
|
||
add %o7,%o2,%o2
|
||
srlx %o2,16,%o7
|
||
add %o7,%o3,%o3 ! %o3.%o2[0..15].%o1[0..15].%o0[0..15]
|
||
and %o0,$mask,%o0
|
||
and %o1,$mask,%o1
|
||
and %o2,$mask,%o2
|
||
sllx %o1,16,%o1
|
||
sllx %o2,32,%o2
|
||
sllx %o3,48,%o7
|
||
or %o1,%o0,%o0
|
||
or %o2,%o0,%o0
|
||
or %o7,%o0,%o0 ! 64-bit result
|
||
addcc %g1,%o0,%o0
|
||
srlx %o3,16,%g1 ! 34-bit carry
|
||
bcs,a %xcc,.+8
|
||
add %g1,1,%g1
|
||
|
||
ldx [$tp+8],%o7 ! tp[j]
|
||
addcc %o7,%o0,%o0
|
||
bcs,a %xcc,.+8
|
||
add %g1,1,%g1
|
||
|
||
stx %o0,[$tp] ! tp[j-1]
|
||
addcc $j,8,$j
|
||
bnz,pt %icc,.Linner
|
||
add $tp,8,$tp
|
||
|
||
fdtox $dota,$dota
|
||
fdtox $dotb,$dotb
|
||
std $dota,[%sp+$bias+$frame+32]
|
||
std $dotb,[%sp+$bias+$frame+40]
|
||
ldx [%sp+$bias+$frame+32],%o0
|
||
ldx [%sp+$bias+$frame+40],%o1
|
||
|
||
srlx %o0,16,%o7
|
||
add %o7,%o1,%o1
|
||
and %o0,$mask,%o0
|
||
sllx %o1,16,%o7
|
||
or %o7,%o0,%o0
|
||
addcc %g1,%o0,%o0
|
||
srlx %o1,48,%g1
|
||
bcs,a %xcc,.+8
|
||
add %g1,1,%g1
|
||
|
||
addcc $carry,%o0,%o0
|
||
stx %o0,[$tp] ! tp[num-1]
|
||
mov %g1,$carry
|
||
bcs,a %xcc,.+8
|
||
add $carry,1,$carry
|
||
|
||
addcc $i,8,$i
|
||
bnz %icc,.Louter
|
||
nop
|
||
|
||
sub %g0,$num,%o7 ! n=-num
|
||
cmp $carry,0 ! clears %icc.c
|
||
bne,pn %icc,.Lsub
|
||
add $tp,8,$tp ! adjust tp to point at the end
|
||
|
||
ld [$tp-8],%o0
|
||
ld [$np-`$bits==32 ? 4 : 8`],%o1
|
||
cmp %o0,%o1 ! compare topmost words
|
||
bcs,pt %icc,.Lcopy ! %icc.c is clean if not taken
|
||
nop
|
||
|
||
.align 32,0x1000000
|
||
.Lsub:
|
||
ldd [$tp+%o7],%o0
|
||
ldd [$np+%o7],%o2
|
||
___
|
||
$code.=<<___ if ($bits==64);
|
||
subccc %o1,%o3,%o3
|
||
subccc %o0,%o2,%o2
|
||
___
|
||
$code.=<<___ if ($bits==32);
|
||
subccc %o1,%o2,%o2
|
||
subccc %o0,%o3,%o3
|
||
___
|
||
$code.=<<___;
|
||
std %o2,[$rp+%o7]
|
||
add %o7,8,%o7
|
||
brnz,pt %o7,.Lsub
|
||
nop
|
||
subccc $carry,0,$carry
|
||
bcc,pt %icc,.Lzap
|
||
sub %g0,$num,%o7
|
||
|
||
.align 16,0x1000000
|
||
.Lcopy:
|
||
ldx [$tp+%o7],%o0
|
||
___
|
||
$code.=<<___ if ($bits==64);
|
||
stx %o0,[$rp+%o7]
|
||
___
|
||
$code.=<<___ if ($bits==32);
|
||
srlx %o0,32,%o1
|
||
std %o0,[$rp+%o7]
|
||
___
|
||
$code.=<<___;
|
||
add %o7,8,%o7
|
||
brnz,pt %o7,.Lcopy
|
||
nop
|
||
ba .Lzap
|
||
sub %g0,$num,%o7
|
||
|
||
.align 32
|
||
.Lzap:
|
||
stx %g0,[$tp+%o7]
|
||
stx %g0,[$ap_l+%o7]
|
||
stx %g0,[$ap_h+%o7]
|
||
stx %g0,[$np_l+%o7]
|
||
stx %g0,[$np_h+%o7]
|
||
add %o7,8,%o7
|
||
brnz,pt %o7,.Lzap
|
||
nop
|
||
|
||
ldx [%sp+$bias+$frame+48],%o7
|
||
wr %g0,%o7,%asi ! restore %asi
|
||
|
||
mov 1,%i0
|
||
.Lret:
|
||
ret
|
||
restore
|
||
.type $fname,#function
|
||
.size $fname,(.-$fname)
|
||
___
|
||
|
||
$code =~ s/\`([^\`]*)\`/eval($1)/gem;
|
||
print $code;
|
||
close STDOUT;
|