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- #!/usr/bin/env perl
- # ====================================================================
- # Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
- # project. The module is, however, dual licensed under OpenSSL and
- # CRYPTOGAMS licenses depending on where you obtain it. For further
- # details see http://www.openssl.org/~appro/cryptogams/.
- # ====================================================================
- # On PA-7100LC this module performs ~90-50% better, less for longer
- # keys, than code generated by gcc 3.2 for PA-RISC 1.1. Latter means
- # that compiler utilized xmpyu instruction to perform 32x32=64-bit
- # multiplication, which in turn means that "baseline" performance was
- # optimal in respect to instruction set capabilities. Fair comparison
- # with vendor compiler is problematic, because OpenSSL doesn't define
- # BN_LLONG [presumably] for historical reasons, which drives compiler
- # toward 4 times 16x16=32-bit multiplicatons [plus complementary
- # shifts and additions] instead. This means that you should observe
- # several times improvement over code generated by vendor compiler
- # for PA-RISC 1.1, but the "baseline" is far from optimal. The actual
- # improvement coefficient was never collected on PA-7100LC, or any
- # other 1.1 CPU, because I don't have access to such machine with
- # vendor compiler. But to give you a taste, PA-RISC 1.1 code path
- # reportedly outperformed code generated by cc +DA1.1 +O3 by factor
- # of ~5x on PA-8600.
- #
- # On PA-RISC 2.0 it has to compete with pa-risc2[W].s, which is
- # reportedly ~2x faster than vendor compiler generated code [according
- # to comment in pa-risc2[W].s]. Here comes a catch. Execution core of
- # this implementation is actually 32-bit one, in the sense that it
- # operates on 32-bit values. But pa-risc2[W].s operates on arrays of
- # 64-bit BN_LONGs... How do they interoperate then? No problem. This
- # module picks halves of 64-bit values in reverse order and pretends
- # they were 32-bit BN_LONGs. But can 32-bit core compete with "pure"
- # 64-bit code such as pa-risc2[W].s then? Well, the thing is that
- # 32x32=64-bit multiplication is the best even PA-RISC 2.0 can do,
- # i.e. there is no "wider" multiplication like on most other 64-bit
- # platforms. This means that even being effectively 32-bit, this
- # implementation performs "64-bit" computational task in same amount
- # of arithmetic operations, most notably multiplications. It requires
- # more memory references, most notably to tp[num], but this doesn't
- # seem to exhaust memory port capacity. And indeed, dedicated PA-RISC
- # 2.0 code path provides virtually same performance as pa-risc2[W].s:
- # it's ~10% better for shortest key length and ~10% worse for longest
- # one.
- #
- # In case it wasn't clear. The module has two distinct code paths:
- # PA-RISC 1.1 and PA-RISC 2.0 ones. Latter features carry-free 64-bit
- # additions and 64-bit integer loads, not to mention specific
- # instruction scheduling. In 64-bit build naturally only 2.0 code path
- # is assembled. In 32-bit application context both code paths are
- # assembled, PA-RISC 2.0 CPU is detected at run-time and proper path
- # is taken automatically. Also, in 32-bit build the module imposes
- # couple of limitations: vector lengths has to be even and vector
- # addresses has to be 64-bit aligned. Normally neither is a problem:
- # most common key lengths are even and vectors are commonly malloc-ed,
- # which ensures alignment.
- #
- # Special thanks to polarhome.com for providing HP-UX account on
- # PA-RISC 1.1 machine, and to correspondent who chose to remain
- # anonymous for testing the code on PA-RISC 2.0 machine.
- $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
- $flavour = shift;
- $output = shift;
- open STDOUT,">$output";
- if ($flavour =~ /64/) {
- $LEVEL ="2.0W";
- $SIZE_T =8;
- $FRAME_MARKER =80;
- $SAVED_RP =16;
- $PUSH ="std";
- $PUSHMA ="std,ma";
- $POP ="ldd";
- $POPMB ="ldd,mb";
- $BN_SZ =$SIZE_T;
- } else {
- $LEVEL ="1.1"; #$LEVEL.="\n\t.ALLOW\t2.0";
- $SIZE_T =4;
- $FRAME_MARKER =48;
- $SAVED_RP =20;
- $PUSH ="stw";
- $PUSHMA ="stwm";
- $POP ="ldw";
- $POPMB ="ldwm";
- $BN_SZ =$SIZE_T;
- if (open CONF,"<${dir}../../opensslconf.h") {
- while(<CONF>) {
- if (m/#\s*define\s+SIXTY_FOUR_BIT/) {
- $BN_SZ=8;
- $LEVEL="2.0";
- last;
- }
- }
- close CONF;
- }
- }
- $FRAME=8*$SIZE_T+$FRAME_MARKER; # 8 saved regs + frame marker
- # [+ argument transfer]
- $LOCALS=$FRAME-$FRAME_MARKER;
- $FRAME+=32; # local variables
- $tp="%r31";
- $ti1="%r29";
- $ti0="%r28";
- $rp="%r26";
- $ap="%r25";
- $bp="%r24";
- $np="%r23";
- $n0="%r22"; # passed through stack in 32-bit
- $num="%r21"; # passed through stack in 32-bit
- $idx="%r20";
- $arrsz="%r19";
- $nm1="%r7";
- $nm0="%r6";
- $ab1="%r5";
- $ab0="%r4";
- $fp="%r3";
- $hi1="%r2";
- $hi0="%r1";
- $xfer=$n0; # accomodates [-16..15] offset in fld[dw]s
- $fm0="%fr4"; $fti=$fm0;
- $fbi="%fr5L";
- $fn0="%fr5R";
- $fai="%fr6"; $fab0="%fr7"; $fab1="%fr8";
- $fni="%fr9"; $fnm0="%fr10"; $fnm1="%fr11";
- $code=<<___;
- .LEVEL $LEVEL
- .SPACE \$TEXT\$
- .SUBSPA \$CODE\$,QUAD=0,ALIGN=8,ACCESS=0x2C,CODE_ONLY
- .EXPORT bn_mul_mont,ENTRY,ARGW0=GR,ARGW1=GR,ARGW2=GR,ARGW3=GR
- .ALIGN 64
- bn_mul_mont
- .PROC
- .CALLINFO FRAME=`$FRAME-8*$SIZE_T`,NO_CALLS,SAVE_RP,SAVE_SP,ENTRY_GR=6
- .ENTRY
- $PUSH %r2,-$SAVED_RP(%sp) ; standard prologue
- $PUSHMA %r3,$FRAME(%sp)
- $PUSH %r4,`-$FRAME+1*$SIZE_T`(%sp)
- $PUSH %r5,`-$FRAME+2*$SIZE_T`(%sp)
- $PUSH %r6,`-$FRAME+3*$SIZE_T`(%sp)
- $PUSH %r7,`-$FRAME+4*$SIZE_T`(%sp)
- $PUSH %r8,`-$FRAME+5*$SIZE_T`(%sp)
- $PUSH %r9,`-$FRAME+6*$SIZE_T`(%sp)
- $PUSH %r10,`-$FRAME+7*$SIZE_T`(%sp)
- ldo -$FRAME(%sp),$fp
- ___
- $code.=<<___ if ($SIZE_T==4);
- ldw `-$FRAME_MARKER-4`($fp),$n0
- ldw `-$FRAME_MARKER-8`($fp),$num
- nop
- nop ; alignment
- ___
- $code.=<<___ if ($BN_SZ==4);
- comiclr,<= 6,$num,%r0 ; are vectors long enough?
- b L\$abort
- ldi 0,%r28 ; signal "unhandled"
- add,ev %r0,$num,$num ; is $num even?
- b L\$abort
- nop
- or $ap,$np,$ti1
- extru,= $ti1,31,3,%r0 ; are ap and np 64-bit aligned?
- b L\$abort
- nop
- nop ; alignment
- nop
- fldws 0($n0),${fn0}
- fldws,ma 4($bp),${fbi} ; bp[0]
- ___
- $code.=<<___ if ($BN_SZ==8);
- comib,> 3,$num,L\$abort ; are vectors long enough?
- ldi 0,%r28 ; signal "unhandled"
- addl $num,$num,$num ; I operate on 32-bit values
- fldws 4($n0),${fn0} ; only low part of n0
- fldws 4($bp),${fbi} ; bp[0] in flipped word order
- ___
- $code.=<<___;
- fldds 0($ap),${fai} ; ap[0,1]
- fldds 0($np),${fni} ; np[0,1]
- sh2addl $num,%r0,$arrsz
- ldi 31,$hi0
- ldo 36($arrsz),$hi1 ; space for tp[num+1]
- andcm $hi1,$hi0,$hi1 ; align
- addl $hi1,%sp,%sp
- $PUSH $fp,-$SIZE_T(%sp)
- ldo `$LOCALS+16`($fp),$xfer
- ldo `$LOCALS+32+4`($fp),$tp
- xmpyu ${fai}L,${fbi},${fab0} ; ap[0]*bp[0]
- xmpyu ${fai}R,${fbi},${fab1} ; ap[1]*bp[0]
- xmpyu ${fn0},${fab0}R,${fm0}
- addl $arrsz,$ap,$ap ; point at the end
- addl $arrsz,$np,$np
- subi 0,$arrsz,$idx ; j=0
- ldo 8($idx),$idx ; j++++
- xmpyu ${fni}L,${fm0}R,${fnm0} ; np[0]*m
- xmpyu ${fni}R,${fm0}R,${fnm1} ; np[1]*m
- fstds ${fab0},-16($xfer)
- fstds ${fnm0},-8($xfer)
- fstds ${fab1},0($xfer)
- fstds ${fnm1},8($xfer)
- flddx $idx($ap),${fai} ; ap[2,3]
- flddx $idx($np),${fni} ; np[2,3]
- ___
- $code.=<<___ if ($BN_SZ==4);
- mtctl $hi0,%cr11 ; $hi0 still holds 31
- extrd,u,*= $hi0,%sar,1,$hi0 ; executes on PA-RISC 1.0
- b L\$parisc11
- nop
- ___
- $code.=<<___; # PA-RISC 2.0 code-path
- xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[0]
- xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
- ldd -16($xfer),$ab0
- fstds ${fab0},-16($xfer)
- extrd,u $ab0,31,32,$hi0
- extrd,u $ab0,63,32,$ab0
- ldd -8($xfer),$nm0
- fstds ${fnm0},-8($xfer)
- ldo 8($idx),$idx ; j++++
- addl $ab0,$nm0,$nm0 ; low part is discarded
- extrd,u $nm0,31,32,$hi1
- L\$1st
- xmpyu ${fai}R,${fbi},${fab1} ; ap[j+1]*bp[0]
- xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j+1]*m
- ldd 0($xfer),$ab1
- fstds ${fab1},0($xfer)
- addl $hi0,$ab1,$ab1
- extrd,u $ab1,31,32,$hi0
- ldd 8($xfer),$nm1
- fstds ${fnm1},8($xfer)
- extrd,u $ab1,63,32,$ab1
- addl $hi1,$nm1,$nm1
- flddx $idx($ap),${fai} ; ap[j,j+1]
- flddx $idx($np),${fni} ; np[j,j+1]
- addl $ab1,$nm1,$nm1
- extrd,u $nm1,31,32,$hi1
- xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[0]
- xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
- ldd -16($xfer),$ab0
- fstds ${fab0},-16($xfer)
- addl $hi0,$ab0,$ab0
- extrd,u $ab0,31,32,$hi0
- ldd -8($xfer),$nm0
- fstds ${fnm0},-8($xfer)
- extrd,u $ab0,63,32,$ab0
- addl $hi1,$nm0,$nm0
- stw $nm1,-4($tp) ; tp[j-1]
- addl $ab0,$nm0,$nm0
- stw,ma $nm0,8($tp) ; tp[j-1]
- addib,<> 8,$idx,L\$1st ; j++++
- extrd,u $nm0,31,32,$hi1
- xmpyu ${fai}R,${fbi},${fab1} ; ap[j]*bp[0]
- xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j]*m
- ldd 0($xfer),$ab1
- fstds ${fab1},0($xfer)
- addl $hi0,$ab1,$ab1
- extrd,u $ab1,31,32,$hi0
- ldd 8($xfer),$nm1
- fstds ${fnm1},8($xfer)
- extrd,u $ab1,63,32,$ab1
- addl $hi1,$nm1,$nm1
- ldd -16($xfer),$ab0
- addl $ab1,$nm1,$nm1
- ldd -8($xfer),$nm0
- extrd,u $nm1,31,32,$hi1
- addl $hi0,$ab0,$ab0
- extrd,u $ab0,31,32,$hi0
- stw $nm1,-4($tp) ; tp[j-1]
- extrd,u $ab0,63,32,$ab0
- addl $hi1,$nm0,$nm0
- ldd 0($xfer),$ab1
- addl $ab0,$nm0,$nm0
- ldd,mb 8($xfer),$nm1
- extrd,u $nm0,31,32,$hi1
- stw,ma $nm0,8($tp) ; tp[j-1]
- ldo -1($num),$num ; i--
- subi 0,$arrsz,$idx ; j=0
- ___
- $code.=<<___ if ($BN_SZ==4);
- fldws,ma 4($bp),${fbi} ; bp[1]
- ___
- $code.=<<___ if ($BN_SZ==8);
- fldws 0($bp),${fbi} ; bp[1] in flipped word order
- ___
- $code.=<<___;
- flddx $idx($ap),${fai} ; ap[0,1]
- flddx $idx($np),${fni} ; np[0,1]
- fldws 8($xfer),${fti}R ; tp[0]
- addl $hi0,$ab1,$ab1
- extrd,u $ab1,31,32,$hi0
- extrd,u $ab1,63,32,$ab1
- ldo 8($idx),$idx ; j++++
- xmpyu ${fai}L,${fbi},${fab0} ; ap[0]*bp[1]
- xmpyu ${fai}R,${fbi},${fab1} ; ap[1]*bp[1]
- addl $hi1,$nm1,$nm1
- addl $ab1,$nm1,$nm1
- extrd,u $nm1,31,32,$hi1
- fstws,mb ${fab0}L,-8($xfer) ; save high part
- stw $nm1,-4($tp) ; tp[j-1]
- fcpy,sgl %fr0,${fti}L ; zero high part
- fcpy,sgl %fr0,${fab0}L
- addl $hi1,$hi0,$hi0
- extrd,u $hi0,31,32,$hi1
- fcnvxf,dbl,dbl ${fti},${fti} ; 32-bit unsigned int -> double
- fcnvxf,dbl,dbl ${fab0},${fab0}
- stw $hi0,0($tp)
- stw $hi1,4($tp)
- fadd,dbl ${fti},${fab0},${fab0} ; add tp[0]
- fcnvfx,dbl,dbl ${fab0},${fab0} ; double -> 33-bit unsigned int
- xmpyu ${fn0},${fab0}R,${fm0}
- ldo `$LOCALS+32+4`($fp),$tp
- L\$outer
- xmpyu ${fni}L,${fm0}R,${fnm0} ; np[0]*m
- xmpyu ${fni}R,${fm0}R,${fnm1} ; np[1]*m
- fstds ${fab0},-16($xfer) ; 33-bit value
- fstds ${fnm0},-8($xfer)
- flddx $idx($ap),${fai} ; ap[2]
- flddx $idx($np),${fni} ; np[2]
- ldo 8($idx),$idx ; j++++
- ldd -16($xfer),$ab0 ; 33-bit value
- ldd -8($xfer),$nm0
- ldw 0($xfer),$hi0 ; high part
- xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[i]
- xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
- extrd,u $ab0,31,32,$ti0 ; carry bit
- extrd,u $ab0,63,32,$ab0
- fstds ${fab1},0($xfer)
- addl $ti0,$hi0,$hi0 ; account carry bit
- fstds ${fnm1},8($xfer)
- addl $ab0,$nm0,$nm0 ; low part is discarded
- ldw 0($tp),$ti1 ; tp[1]
- extrd,u $nm0,31,32,$hi1
- fstds ${fab0},-16($xfer)
- fstds ${fnm0},-8($xfer)
- L\$inner
- xmpyu ${fai}R,${fbi},${fab1} ; ap[j+1]*bp[i]
- xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j+1]*m
- ldd 0($xfer),$ab1
- fstds ${fab1},0($xfer)
- addl $hi0,$ti1,$ti1
- addl $ti1,$ab1,$ab1
- ldd 8($xfer),$nm1
- fstds ${fnm1},8($xfer)
- extrd,u $ab1,31,32,$hi0
- extrd,u $ab1,63,32,$ab1
- flddx $idx($ap),${fai} ; ap[j,j+1]
- flddx $idx($np),${fni} ; np[j,j+1]
- addl $hi1,$nm1,$nm1
- addl $ab1,$nm1,$nm1
- ldw 4($tp),$ti0 ; tp[j]
- stw $nm1,-4($tp) ; tp[j-1]
- xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[i]
- xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
- ldd -16($xfer),$ab0
- fstds ${fab0},-16($xfer)
- addl $hi0,$ti0,$ti0
- addl $ti0,$ab0,$ab0
- ldd -8($xfer),$nm0
- fstds ${fnm0},-8($xfer)
- extrd,u $ab0,31,32,$hi0
- extrd,u $nm1,31,32,$hi1
- ldw 8($tp),$ti1 ; tp[j]
- extrd,u $ab0,63,32,$ab0
- addl $hi1,$nm0,$nm0
- addl $ab0,$nm0,$nm0
- stw,ma $nm0,8($tp) ; tp[j-1]
- addib,<> 8,$idx,L\$inner ; j++++
- extrd,u $nm0,31,32,$hi1
- xmpyu ${fai}R,${fbi},${fab1} ; ap[j]*bp[i]
- xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j]*m
- ldd 0($xfer),$ab1
- fstds ${fab1},0($xfer)
- addl $hi0,$ti1,$ti1
- addl $ti1,$ab1,$ab1
- ldd 8($xfer),$nm1
- fstds ${fnm1},8($xfer)
- extrd,u $ab1,31,32,$hi0
- extrd,u $ab1,63,32,$ab1
- ldw 4($tp),$ti0 ; tp[j]
- addl $hi1,$nm1,$nm1
- addl $ab1,$nm1,$nm1
- ldd -16($xfer),$ab0
- ldd -8($xfer),$nm0
- extrd,u $nm1,31,32,$hi1
- addl $hi0,$ab0,$ab0
- addl $ti0,$ab0,$ab0
- stw $nm1,-4($tp) ; tp[j-1]
- extrd,u $ab0,31,32,$hi0
- ldw 8($tp),$ti1 ; tp[j]
- extrd,u $ab0,63,32,$ab0
- addl $hi1,$nm0,$nm0
- ldd 0($xfer),$ab1
- addl $ab0,$nm0,$nm0
- ldd,mb 8($xfer),$nm1
- extrd,u $nm0,31,32,$hi1
- stw,ma $nm0,8($tp) ; tp[j-1]
- addib,= -1,$num,L\$outerdone ; i--
- subi 0,$arrsz,$idx ; j=0
- ___
- $code.=<<___ if ($BN_SZ==4);
- fldws,ma 4($bp),${fbi} ; bp[i]
- ___
- $code.=<<___ if ($BN_SZ==8);
- ldi 12,$ti0 ; bp[i] in flipped word order
- addl,ev %r0,$num,$num
- ldi -4,$ti0
- addl $ti0,$bp,$bp
- fldws 0($bp),${fbi}
- ___
- $code.=<<___;
- flddx $idx($ap),${fai} ; ap[0]
- addl $hi0,$ab1,$ab1
- flddx $idx($np),${fni} ; np[0]
- fldws 8($xfer),${fti}R ; tp[0]
- addl $ti1,$ab1,$ab1
- extrd,u $ab1,31,32,$hi0
- extrd,u $ab1,63,32,$ab1
- ldo 8($idx),$idx ; j++++
- xmpyu ${fai}L,${fbi},${fab0} ; ap[0]*bp[i]
- xmpyu ${fai}R,${fbi},${fab1} ; ap[1]*bp[i]
- ldw 4($tp),$ti0 ; tp[j]
- addl $hi1,$nm1,$nm1
- fstws,mb ${fab0}L,-8($xfer) ; save high part
- addl $ab1,$nm1,$nm1
- extrd,u $nm1,31,32,$hi1
- fcpy,sgl %fr0,${fti}L ; zero high part
- fcpy,sgl %fr0,${fab0}L
- stw $nm1,-4($tp) ; tp[j-1]
- fcnvxf,dbl,dbl ${fti},${fti} ; 32-bit unsigned int -> double
- fcnvxf,dbl,dbl ${fab0},${fab0}
- addl $hi1,$hi0,$hi0
- fadd,dbl ${fti},${fab0},${fab0} ; add tp[0]
- addl $ti0,$hi0,$hi0
- extrd,u $hi0,31,32,$hi1
- fcnvfx,dbl,dbl ${fab0},${fab0} ; double -> 33-bit unsigned int
- stw $hi0,0($tp)
- stw $hi1,4($tp)
- xmpyu ${fn0},${fab0}R,${fm0}
- b L\$outer
- ldo `$LOCALS+32+4`($fp),$tp
- L\$outerdone
- addl $hi0,$ab1,$ab1
- addl $ti1,$ab1,$ab1
- extrd,u $ab1,31,32,$hi0
- extrd,u $ab1,63,32,$ab1
- ldw 4($tp),$ti0 ; tp[j]
- addl $hi1,$nm1,$nm1
- addl $ab1,$nm1,$nm1
- extrd,u $nm1,31,32,$hi1
- stw $nm1,-4($tp) ; tp[j-1]
- addl $hi1,$hi0,$hi0
- addl $ti0,$hi0,$hi0
- extrd,u $hi0,31,32,$hi1
- stw $hi0,0($tp)
- stw $hi1,4($tp)
- ldo `$LOCALS+32`($fp),$tp
- sub %r0,%r0,%r0 ; clear borrow
- ___
- $code.=<<___ if ($BN_SZ==4);
- ldws,ma 4($tp),$ti0
- extru,= $rp,31,3,%r0 ; is rp 64-bit aligned?
- b L\$sub_pa11
- addl $tp,$arrsz,$tp
- L\$sub
- ldwx $idx($np),$hi0
- subb $ti0,$hi0,$hi1
- ldwx $idx($tp),$ti0
- addib,<> 4,$idx,L\$sub
- stws,ma $hi1,4($rp)
- subb $ti0,%r0,$hi1
- ldo -4($tp),$tp
- ___
- $code.=<<___ if ($BN_SZ==8);
- ldd,ma 8($tp),$ti0
- L\$sub
- ldd $idx($np),$hi0
- shrpd $ti0,$ti0,32,$ti0 ; flip word order
- std $ti0,-8($tp) ; save flipped value
- sub,db $ti0,$hi0,$hi1
- ldd,ma 8($tp),$ti0
- addib,<> 8,$idx,L\$sub
- std,ma $hi1,8($rp)
- extrd,u $ti0,31,32,$ti0 ; carry in flipped word order
- sub,db $ti0,%r0,$hi1
- ldo -8($tp),$tp
- ___
- $code.=<<___;
- and $tp,$hi1,$ap
- andcm $rp,$hi1,$bp
- or $ap,$bp,$np
- sub $rp,$arrsz,$rp ; rewind rp
- subi 0,$arrsz,$idx
- ldo `$LOCALS+32`($fp),$tp
- L\$copy
- ldd $idx($np),$hi0
- std,ma %r0,8($tp)
- addib,<> 8,$idx,.-8 ; L\$copy
- std,ma $hi0,8($rp)
- ___
- if ($BN_SZ==4) { # PA-RISC 1.1 code-path
- $ablo=$ab0;
- $abhi=$ab1;
- $nmlo0=$nm0;
- $nmhi0=$nm1;
- $nmlo1="%r9";
- $nmhi1="%r8";
- $code.=<<___;
- b L\$done
- nop
- .ALIGN 8
- L\$parisc11
- xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[0]
- xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
- ldw -12($xfer),$ablo
- ldw -16($xfer),$hi0
- ldw -4($xfer),$nmlo0
- ldw -8($xfer),$nmhi0
- fstds ${fab0},-16($xfer)
- fstds ${fnm0},-8($xfer)
- ldo 8($idx),$idx ; j++++
- add $ablo,$nmlo0,$nmlo0 ; discarded
- addc %r0,$nmhi0,$hi1
- ldw 4($xfer),$ablo
- ldw 0($xfer),$abhi
- nop
- L\$1st_pa11
- xmpyu ${fai}R,${fbi},${fab1} ; ap[j+1]*bp[0]
- flddx $idx($ap),${fai} ; ap[j,j+1]
- xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j+1]*m
- flddx $idx($np),${fni} ; np[j,j+1]
- add $hi0,$ablo,$ablo
- ldw 12($xfer),$nmlo1
- addc %r0,$abhi,$hi0
- ldw 8($xfer),$nmhi1
- add $ablo,$nmlo1,$nmlo1
- fstds ${fab1},0($xfer)
- addc %r0,$nmhi1,$nmhi1
- fstds ${fnm1},8($xfer)
- add $hi1,$nmlo1,$nmlo1
- ldw -12($xfer),$ablo
- addc %r0,$nmhi1,$hi1
- ldw -16($xfer),$abhi
- xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[0]
- ldw -4($xfer),$nmlo0
- xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
- ldw -8($xfer),$nmhi0
- add $hi0,$ablo,$ablo
- stw $nmlo1,-4($tp) ; tp[j-1]
- addc %r0,$abhi,$hi0
- fstds ${fab0},-16($xfer)
- add $ablo,$nmlo0,$nmlo0
- fstds ${fnm0},-8($xfer)
- addc %r0,$nmhi0,$nmhi0
- ldw 0($xfer),$abhi
- add $hi1,$nmlo0,$nmlo0
- ldw 4($xfer),$ablo
- stws,ma $nmlo0,8($tp) ; tp[j-1]
- addib,<> 8,$idx,L\$1st_pa11 ; j++++
- addc %r0,$nmhi0,$hi1
- ldw 8($xfer),$nmhi1
- ldw 12($xfer),$nmlo1
- xmpyu ${fai}R,${fbi},${fab1} ; ap[j]*bp[0]
- xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j]*m
- add $hi0,$ablo,$ablo
- fstds ${fab1},0($xfer)
- addc %r0,$abhi,$hi0
- fstds ${fnm1},8($xfer)
- add $ablo,$nmlo1,$nmlo1
- ldw -16($xfer),$abhi
- addc %r0,$nmhi1,$nmhi1
- ldw -12($xfer),$ablo
- add $hi1,$nmlo1,$nmlo1
- ldw -8($xfer),$nmhi0
- addc %r0,$nmhi1,$hi1
- ldw -4($xfer),$nmlo0
- add $hi0,$ablo,$ablo
- stw $nmlo1,-4($tp) ; tp[j-1]
- addc %r0,$abhi,$hi0
- ldw 0($xfer),$abhi
- add $ablo,$nmlo0,$nmlo0
- ldw 4($xfer),$ablo
- addc %r0,$nmhi0,$nmhi0
- ldws,mb 8($xfer),$nmhi1
- add $hi1,$nmlo0,$nmlo0
- ldw 4($xfer),$nmlo1
- addc %r0,$nmhi0,$hi1
- stws,ma $nmlo0,8($tp) ; tp[j-1]
- ldo -1($num),$num ; i--
- subi 0,$arrsz,$idx ; j=0
- fldws,ma 4($bp),${fbi} ; bp[1]
- flddx $idx($ap),${fai} ; ap[0,1]
- flddx $idx($np),${fni} ; np[0,1]
- fldws 8($xfer),${fti}R ; tp[0]
- add $hi0,$ablo,$ablo
- addc %r0,$abhi,$hi0
- ldo 8($idx),$idx ; j++++
- xmpyu ${fai}L,${fbi},${fab0} ; ap[0]*bp[1]
- xmpyu ${fai}R,${fbi},${fab1} ; ap[1]*bp[1]
- add $hi1,$nmlo1,$nmlo1
- addc %r0,$nmhi1,$nmhi1
- add $ablo,$nmlo1,$nmlo1
- addc %r0,$nmhi1,$hi1
- fstws,mb ${fab0}L,-8($xfer) ; save high part
- stw $nmlo1,-4($tp) ; tp[j-1]
- fcpy,sgl %fr0,${fti}L ; zero high part
- fcpy,sgl %fr0,${fab0}L
- add $hi1,$hi0,$hi0
- addc %r0,%r0,$hi1
- fcnvxf,dbl,dbl ${fti},${fti} ; 32-bit unsigned int -> double
- fcnvxf,dbl,dbl ${fab0},${fab0}
- stw $hi0,0($tp)
- stw $hi1,4($tp)
- fadd,dbl ${fti},${fab0},${fab0} ; add tp[0]
- fcnvfx,dbl,dbl ${fab0},${fab0} ; double -> 33-bit unsigned int
- xmpyu ${fn0},${fab0}R,${fm0}
- ldo `$LOCALS+32+4`($fp),$tp
- L\$outer_pa11
- xmpyu ${fni}L,${fm0}R,${fnm0} ; np[0]*m
- xmpyu ${fni}R,${fm0}R,${fnm1} ; np[1]*m
- fstds ${fab0},-16($xfer) ; 33-bit value
- fstds ${fnm0},-8($xfer)
- flddx $idx($ap),${fai} ; ap[2,3]
- flddx $idx($np),${fni} ; np[2,3]
- ldw -16($xfer),$abhi ; carry bit actually
- ldo 8($idx),$idx ; j++++
- ldw -12($xfer),$ablo
- ldw -8($xfer),$nmhi0
- ldw -4($xfer),$nmlo0
- ldw 0($xfer),$hi0 ; high part
- xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[i]
- xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
- fstds ${fab1},0($xfer)
- addl $abhi,$hi0,$hi0 ; account carry bit
- fstds ${fnm1},8($xfer)
- add $ablo,$nmlo0,$nmlo0 ; discarded
- ldw 0($tp),$ti1 ; tp[1]
- addc %r0,$nmhi0,$hi1
- fstds ${fab0},-16($xfer)
- fstds ${fnm0},-8($xfer)
- ldw 4($xfer),$ablo
- ldw 0($xfer),$abhi
- L\$inner_pa11
- xmpyu ${fai}R,${fbi},${fab1} ; ap[j+1]*bp[i]
- flddx $idx($ap),${fai} ; ap[j,j+1]
- xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j+1]*m
- flddx $idx($np),${fni} ; np[j,j+1]
- add $hi0,$ablo,$ablo
- ldw 4($tp),$ti0 ; tp[j]
- addc %r0,$abhi,$abhi
- ldw 12($xfer),$nmlo1
- add $ti1,$ablo,$ablo
- ldw 8($xfer),$nmhi1
- addc %r0,$abhi,$hi0
- fstds ${fab1},0($xfer)
- add $ablo,$nmlo1,$nmlo1
- fstds ${fnm1},8($xfer)
- addc %r0,$nmhi1,$nmhi1
- ldw -12($xfer),$ablo
- add $hi1,$nmlo1,$nmlo1
- ldw -16($xfer),$abhi
- addc %r0,$nmhi1,$hi1
- xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[i]
- ldw 8($tp),$ti1 ; tp[j]
- xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
- ldw -4($xfer),$nmlo0
- add $hi0,$ablo,$ablo
- ldw -8($xfer),$nmhi0
- addc %r0,$abhi,$abhi
- stw $nmlo1,-4($tp) ; tp[j-1]
- add $ti0,$ablo,$ablo
- fstds ${fab0},-16($xfer)
- addc %r0,$abhi,$hi0
- fstds ${fnm0},-8($xfer)
- add $ablo,$nmlo0,$nmlo0
- ldw 4($xfer),$ablo
- addc %r0,$nmhi0,$nmhi0
- ldw 0($xfer),$abhi
- add $hi1,$nmlo0,$nmlo0
- stws,ma $nmlo0,8($tp) ; tp[j-1]
- addib,<> 8,$idx,L\$inner_pa11 ; j++++
- addc %r0,$nmhi0,$hi1
- xmpyu ${fai}R,${fbi},${fab1} ; ap[j]*bp[i]
- ldw 12($xfer),$nmlo1
- xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j]*m
- ldw 8($xfer),$nmhi1
- add $hi0,$ablo,$ablo
- ldw 4($tp),$ti0 ; tp[j]
- addc %r0,$abhi,$abhi
- fstds ${fab1},0($xfer)
- add $ti1,$ablo,$ablo
- fstds ${fnm1},8($xfer)
- addc %r0,$abhi,$hi0
- ldw -16($xfer),$abhi
- add $ablo,$nmlo1,$nmlo1
- ldw -12($xfer),$ablo
- addc %r0,$nmhi1,$nmhi1
- ldw -8($xfer),$nmhi0
- add $hi1,$nmlo1,$nmlo1
- ldw -4($xfer),$nmlo0
- addc %r0,$nmhi1,$hi1
- add $hi0,$ablo,$ablo
- stw $nmlo1,-4($tp) ; tp[j-1]
- addc %r0,$abhi,$abhi
- add $ti0,$ablo,$ablo
- ldw 8($tp),$ti1 ; tp[j]
- addc %r0,$abhi,$hi0
- ldw 0($xfer),$abhi
- add $ablo,$nmlo0,$nmlo0
- ldw 4($xfer),$ablo
- addc %r0,$nmhi0,$nmhi0
- ldws,mb 8($xfer),$nmhi1
- add $hi1,$nmlo0,$nmlo0
- ldw 4($xfer),$nmlo1
- addc %r0,$nmhi0,$hi1
- stws,ma $nmlo0,8($tp) ; tp[j-1]
- addib,= -1,$num,L\$outerdone_pa11; i--
- subi 0,$arrsz,$idx ; j=0
- fldws,ma 4($bp),${fbi} ; bp[i]
- flddx $idx($ap),${fai} ; ap[0]
- add $hi0,$ablo,$ablo
- addc %r0,$abhi,$abhi
- flddx $idx($np),${fni} ; np[0]
- fldws 8($xfer),${fti}R ; tp[0]
- add $ti1,$ablo,$ablo
- addc %r0,$abhi,$hi0
- ldo 8($idx),$idx ; j++++
- xmpyu ${fai}L,${fbi},${fab0} ; ap[0]*bp[i]
- xmpyu ${fai}R,${fbi},${fab1} ; ap[1]*bp[i]
- ldw 4($tp),$ti0 ; tp[j]
- add $hi1,$nmlo1,$nmlo1
- addc %r0,$nmhi1,$nmhi1
- fstws,mb ${fab0}L,-8($xfer) ; save high part
- add $ablo,$nmlo1,$nmlo1
- addc %r0,$nmhi1,$hi1
- fcpy,sgl %fr0,${fti}L ; zero high part
- fcpy,sgl %fr0,${fab0}L
- stw $nmlo1,-4($tp) ; tp[j-1]
- fcnvxf,dbl,dbl ${fti},${fti} ; 32-bit unsigned int -> double
- fcnvxf,dbl,dbl ${fab0},${fab0}
- add $hi1,$hi0,$hi0
- addc %r0,%r0,$hi1
- fadd,dbl ${fti},${fab0},${fab0} ; add tp[0]
- add $ti0,$hi0,$hi0
- addc %r0,$hi1,$hi1
- fcnvfx,dbl,dbl ${fab0},${fab0} ; double -> 33-bit unsigned int
- stw $hi0,0($tp)
- stw $hi1,4($tp)
- xmpyu ${fn0},${fab0}R,${fm0}
- b L\$outer_pa11
- ldo `$LOCALS+32+4`($fp),$tp
- L\$outerdone_pa11
- add $hi0,$ablo,$ablo
- addc %r0,$abhi,$abhi
- add $ti1,$ablo,$ablo
- addc %r0,$abhi,$hi0
- ldw 4($tp),$ti0 ; tp[j]
- add $hi1,$nmlo1,$nmlo1
- addc %r0,$nmhi1,$nmhi1
- add $ablo,$nmlo1,$nmlo1
- addc %r0,$nmhi1,$hi1
- stw $nmlo1,-4($tp) ; tp[j-1]
- add $hi1,$hi0,$hi0
- addc %r0,%r0,$hi1
- add $ti0,$hi0,$hi0
- addc %r0,$hi1,$hi1
- stw $hi0,0($tp)
- stw $hi1,4($tp)
- ldo `$LOCALS+32+4`($fp),$tp
- sub %r0,%r0,%r0 ; clear borrow
- ldw -4($tp),$ti0
- addl $tp,$arrsz,$tp
- L\$sub_pa11
- ldwx $idx($np),$hi0
- subb $ti0,$hi0,$hi1
- ldwx $idx($tp),$ti0
- addib,<> 4,$idx,L\$sub_pa11
- stws,ma $hi1,4($rp)
- subb $ti0,%r0,$hi1
- ldo -4($tp),$tp
- and $tp,$hi1,$ap
- andcm $rp,$hi1,$bp
- or $ap,$bp,$np
- sub $rp,$arrsz,$rp ; rewind rp
- subi 0,$arrsz,$idx
- ldo `$LOCALS+32`($fp),$tp
- L\$copy_pa11
- ldwx $idx($np),$hi0
- stws,ma %r0,4($tp)
- addib,<> 4,$idx,L\$copy_pa11
- stws,ma $hi0,4($rp)
- nop ; alignment
- L\$done
- ___
- }
- $code.=<<___;
- ldi 1,%r28 ; signal "handled"
- ldo $FRAME($fp),%sp ; destroy tp[num+1]
- $POP `-$FRAME-$SAVED_RP`(%sp),%r2 ; standard epilogue
- $POP `-$FRAME+1*$SIZE_T`(%sp),%r4
- $POP `-$FRAME+2*$SIZE_T`(%sp),%r5
- $POP `-$FRAME+3*$SIZE_T`(%sp),%r6
- $POP `-$FRAME+4*$SIZE_T`(%sp),%r7
- $POP `-$FRAME+5*$SIZE_T`(%sp),%r8
- $POP `-$FRAME+6*$SIZE_T`(%sp),%r9
- $POP `-$FRAME+7*$SIZE_T`(%sp),%r10
- L\$abort
- bv (%r2)
- .EXIT
- $POPMB -$FRAME(%sp),%r3
- .PROCEND
- .STRINGZ "Montgomery Multiplication for PA-RISC, CRYPTOGAMS by <appro\@openssl.org>"
- ___
- # Explicitly encode PA-RISC 2.0 instructions used in this module, so
- # that it can be compiled with .LEVEL 1.0. It should be noted that I
- # wouldn't have to do this, if GNU assembler understood .ALLOW 2.0
- # directive...
- my $ldd = sub {
- my ($mod,$args) = @_;
- my $orig = "ldd$mod\t$args";
- if ($args =~ /%r([0-9]+)\(%r([0-9]+)\),%r([0-9]+)/) # format 4
- { my $opcode=(0x03<<26)|($2<<21)|($1<<16)|(3<<6)|$3;
- sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig;
- }
- elsif ($args =~ /(\-?[0-9]+)\(%r([0-9]+)\),%r([0-9]+)/) # format 5
- { my $opcode=(0x03<<26)|($2<<21)|(1<<12)|(3<<6)|$3;
- $opcode|=(($1&0xF)<<17)|(($1&0x10)<<12); # encode offset
- $opcode|=(1<<5) if ($mod =~ /^,m/);
- $opcode|=(1<<13) if ($mod =~ /^,mb/);
- sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig;
- }
- else { "\t".$orig; }
- };
- my $std = sub {
- my ($mod,$args) = @_;
- my $orig = "std$mod\t$args";
- if ($args =~ /%r([0-9]+),(\-?[0-9]+)\(%r([0-9]+)\)/) # format 6
- { my $opcode=(0x03<<26)|($3<<21)|($1<<16)|(1<<12)|(0xB<<6);
- $opcode|=(($2&0xF)<<1)|(($2&0x10)>>4); # encode offset
- $opcode|=(1<<5) if ($mod =~ /^,m/);
- $opcode|=(1<<13) if ($mod =~ /^,mb/);
- sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig;
- }
- else { "\t".$orig; }
- };
- my $extrd = sub {
- my ($mod,$args) = @_;
- my $orig = "extrd$mod\t$args";
- # I only have ",u" completer, it's implicitly encoded...
- if ($args =~ /%r([0-9]+),([0-9]+),([0-9]+),%r([0-9]+)/) # format 15
- { my $opcode=(0x36<<26)|($1<<21)|($4<<16);
- my $len=32-$3;
- $opcode |= (($2&0x20)<<6)|(($2&0x1f)<<5); # encode pos
- $opcode |= (($len&0x20)<<7)|($len&0x1f); # encode len
- sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig;
- }
- elsif ($args =~ /%r([0-9]+),%sar,([0-9]+),%r([0-9]+)/) # format 12
- { my $opcode=(0x34<<26)|($1<<21)|($3<<16)|(2<<11)|(1<<9);
- my $len=32-$2;
- $opcode |= (($len&0x20)<<3)|($len&0x1f); # encode len
- $opcode |= (1<<13) if ($mod =~ /,\**=/);
- sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig;
- }
- else { "\t".$orig; }
- };
- my $shrpd = sub {
- my ($mod,$args) = @_;
- my $orig = "shrpd$mod\t$args";
- if ($args =~ /%r([0-9]+),%r([0-9]+),([0-9]+),%r([0-9]+)/) # format 14
- { my $opcode=(0x34<<26)|($2<<21)|($1<<16)|(1<<10)|$4;
- my $cpos=63-$3;
- $opcode |= (($cpos&0x20)<<6)|(($cpos&0x1f)<<5); # encode sa
- sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig;
- }
- else { "\t".$orig; }
- };
- my $sub = sub {
- my ($mod,$args) = @_;
- my $orig = "sub$mod\t$args";
- if ($mod eq ",db" && $args =~ /%r([0-9]+),%r([0-9]+),%r([0-9]+)/) {
- my $opcode=(0x02<<26)|($2<<21)|($1<<16)|$3;
- $opcode|=(1<<10); # e1
- $opcode|=(1<<8); # e2
- $opcode|=(1<<5); # d
- sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig
- }
- else { "\t".$orig; }
- };
- sub assemble {
- my ($mnemonic,$mod,$args)=@_;
- my $opcode = eval("\$$mnemonic");
- ref($opcode) eq 'CODE' ? &$opcode($mod,$args) : "\t$mnemonic$mod\t$args";
- }
- foreach (split("\n",$code)) {
- s/\`([^\`]*)\`/eval $1/ge;
- # flip word order in 64-bit mode...
- s/(xmpyu\s+)($fai|$fni)([LR])/$1.$2.($3 eq "L"?"R":"L")/e if ($BN_SZ==8);
- # assemble 2.0 instructions in 32-bit mode...
- s/^\s+([a-z]+)([\S]*)\s+([\S]*)/&assemble($1,$2,$3)/e if ($BN_SZ==4);
- s/\bbv\b/bve/gm if ($SIZE_T==8);
- print $_,"\n";
- }
- close STDOUT;
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