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