319 lines
5.4 KiB
Raku
319 lines
5.4 KiB
Raku
#!/usr/bin/env perl
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#
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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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#
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# On 21264 RSA sign performance improves by 70/35/20/15 percent for
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# 512/1024/2048/4096 bit key lengths. This is against vendor compiler
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# instructed to '-tune host' code with in-line assembler. Other
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# benchmarks improve by 15-20%. To anchor it to something else, the
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# code provides approximately the same performance per GHz as AMD64.
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# I.e. if you compare 1GHz 21264 and 2GHz Opteron, you'll observe ~2x
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# difference.
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# int bn_mul_mont(
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$rp="a0"; # BN_ULONG *rp,
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$ap="a1"; # const BN_ULONG *ap,
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$bp="a2"; # const BN_ULONG *bp,
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$np="a3"; # const BN_ULONG *np,
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$n0="a4"; # const BN_ULONG *n0,
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$num="a5"; # int num);
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$lo0="t0";
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$hi0="t1";
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$lo1="t2";
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$hi1="t3";
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$aj="t4";
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$bi="t5";
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$nj="t6";
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$tp="t7";
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$alo="t8";
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$ahi="t9";
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$nlo="t10";
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$nhi="t11";
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$tj="t12";
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$i="s3";
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$j="s4";
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$m1="s5";
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$code=<<___;
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#include <asm.h>
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#include <regdef.h>
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.text
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.set noat
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.set noreorder
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.globl bn_mul_mont
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.align 5
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.ent bn_mul_mont
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bn_mul_mont:
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lda sp,-40(sp)
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stq ra,0(sp)
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stq s3,8(sp)
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stq s4,16(sp)
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stq s5,24(sp)
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stq fp,32(sp)
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mov sp,fp
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.mask 0x0400f000,-40
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.frame fp,40,ra
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.prologue 0
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.align 4
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.set reorder
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sextl $num,$num
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mov 0,v0
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cmplt $num,4,AT
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bne AT,.Lexit
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ldq $hi0,0($ap) # ap[0]
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s8addq $num,16,AT
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ldq $aj,8($ap)
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subq sp,AT,sp
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ldq $bi,0($bp) # bp[0]
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mov -4096,AT
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ldq $n0,0($n0)
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and sp,AT,sp
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mulq $hi0,$bi,$lo0
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ldq $hi1,0($np) # np[0]
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umulh $hi0,$bi,$hi0
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ldq $nj,8($np)
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mulq $lo0,$n0,$m1
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mulq $hi1,$m1,$lo1
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umulh $hi1,$m1,$hi1
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addq $lo1,$lo0,$lo1
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cmpult $lo1,$lo0,AT
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addq $hi1,AT,$hi1
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mulq $aj,$bi,$alo
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mov 2,$j
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umulh $aj,$bi,$ahi
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mov sp,$tp
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mulq $nj,$m1,$nlo
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s8addq $j,$ap,$aj
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umulh $nj,$m1,$nhi
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s8addq $j,$np,$nj
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.align 4
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.L1st:
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.set noreorder
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ldq $aj,($aj)
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addl $j,1,$j
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ldq $nj,($nj)
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lda $tp,8($tp)
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addq $alo,$hi0,$lo0
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mulq $aj,$bi,$alo
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cmpult $lo0,$hi0,AT
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addq $nlo,$hi1,$lo1
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mulq $nj,$m1,$nlo
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addq $ahi,AT,$hi0
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cmpult $lo1,$hi1,v0
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cmplt $j,$num,$tj
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umulh $aj,$bi,$ahi
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addq $nhi,v0,$hi1
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addq $lo1,$lo0,$lo1
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s8addq $j,$ap,$aj
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umulh $nj,$m1,$nhi
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cmpult $lo1,$lo0,v0
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addq $hi1,v0,$hi1
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s8addq $j,$np,$nj
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stq $lo1,-8($tp)
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nop
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unop
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bne $tj,.L1st
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.set reorder
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addq $alo,$hi0,$lo0
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addq $nlo,$hi1,$lo1
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cmpult $lo0,$hi0,AT
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cmpult $lo1,$hi1,v0
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addq $ahi,AT,$hi0
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addq $nhi,v0,$hi1
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addq $lo1,$lo0,$lo1
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cmpult $lo1,$lo0,v0
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addq $hi1,v0,$hi1
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stq $lo1,0($tp)
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addq $hi1,$hi0,$hi1
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cmpult $hi1,$hi0,AT
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stq $hi1,8($tp)
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stq AT,16($tp)
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mov 1,$i
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.align 4
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.Louter:
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s8addq $i,$bp,$bi
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ldq $hi0,($ap)
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ldq $aj,8($ap)
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ldq $bi,($bi)
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ldq $hi1,($np)
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ldq $nj,8($np)
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ldq $tj,(sp)
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mulq $hi0,$bi,$lo0
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umulh $hi0,$bi,$hi0
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addq $lo0,$tj,$lo0
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cmpult $lo0,$tj,AT
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addq $hi0,AT,$hi0
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mulq $lo0,$n0,$m1
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mulq $hi1,$m1,$lo1
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umulh $hi1,$m1,$hi1
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addq $lo1,$lo0,$lo1
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cmpult $lo1,$lo0,AT
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mov 2,$j
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addq $hi1,AT,$hi1
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mulq $aj,$bi,$alo
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mov sp,$tp
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umulh $aj,$bi,$ahi
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mulq $nj,$m1,$nlo
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s8addq $j,$ap,$aj
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umulh $nj,$m1,$nhi
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.align 4
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.Linner:
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.set noreorder
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ldq $tj,8($tp) #L0
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nop #U1
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ldq $aj,($aj) #L1
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s8addq $j,$np,$nj #U0
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ldq $nj,($nj) #L0
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nop #U1
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addq $alo,$hi0,$lo0 #L1
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lda $tp,8($tp)
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mulq $aj,$bi,$alo #U1
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cmpult $lo0,$hi0,AT #L0
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addq $nlo,$hi1,$lo1 #L1
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addl $j,1,$j
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mulq $nj,$m1,$nlo #U1
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addq $ahi,AT,$hi0 #L0
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addq $lo0,$tj,$lo0 #L1
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cmpult $lo1,$hi1,v0 #U0
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umulh $aj,$bi,$ahi #U1
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cmpult $lo0,$tj,AT #L0
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addq $lo1,$lo0,$lo1 #L1
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addq $nhi,v0,$hi1 #U0
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umulh $nj,$m1,$nhi #U1
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s8addq $j,$ap,$aj #L0
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cmpult $lo1,$lo0,v0 #L1
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cmplt $j,$num,$tj #U0 # borrow $tj
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addq $hi0,AT,$hi0 #L0
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addq $hi1,v0,$hi1 #U1
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stq $lo1,-8($tp) #L1
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bne $tj,.Linner #U0
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.set reorder
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ldq $tj,8($tp)
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addq $alo,$hi0,$lo0
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addq $nlo,$hi1,$lo1
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cmpult $lo0,$hi0,AT
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cmpult $lo1,$hi1,v0
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addq $ahi,AT,$hi0
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addq $nhi,v0,$hi1
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addq $lo0,$tj,$lo0
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cmpult $lo0,$tj,AT
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addq $hi0,AT,$hi0
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ldq $tj,16($tp)
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addq $lo1,$lo0,$j
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cmpult $j,$lo0,v0
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addq $hi1,v0,$hi1
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addq $hi1,$hi0,$lo1
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stq $j,($tp)
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cmpult $lo1,$hi0,$hi1
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addq $lo1,$tj,$lo1
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cmpult $lo1,$tj,AT
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addl $i,1,$i
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addq $hi1,AT,$hi1
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stq $lo1,8($tp)
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cmplt $i,$num,$tj # borrow $tj
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stq $hi1,16($tp)
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bne $tj,.Louter
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s8addq $num,sp,$tj # &tp[num]
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mov $rp,$bp # put rp aside
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mov sp,$tp
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mov sp,$ap
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srl $nj,62,AT # boundary condition...
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beq AT,.Lcopy # ... is met
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mov 0,$hi0 # clear borrow bit
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.align 4
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.Lsub: ldq $lo0,($tp)
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ldq $lo1,($np)
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lda $tp,8($tp)
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lda $np,8($np)
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subq $lo0,$lo1,$lo1 # tp[i]-np[i]
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cmpult $lo0,$lo1,AT
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subq $lo1,$hi0,$lo0
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cmpult $lo1,$lo0,$hi0
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or $hi0,AT,$hi0
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stq $lo0,($rp)
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cmpult $tp,$tj,v0
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lda $rp,8($rp)
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bne v0,.Lsub
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subq $hi1,$hi0,$hi0 # handle upmost overflow bit
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mov sp,$tp
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mov $bp,$rp # restore rp
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and sp,$hi0,$ap
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bic $bp,$hi0,$bp
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bis $bp,$ap,$ap # ap=borrow?tp:rp
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.align 4
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.Lcopy: ldq $aj,($ap) # copy or in-place refresh
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lda $tp,8($tp)
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lda $rp,8($rp)
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lda $ap,8($ap)
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stq zero,-8($tp) # zap tp
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cmpult $tp,$tj,AT
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stq $aj,-8($rp)
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bne AT,.Lcopy
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mov 1,v0
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.Lexit:
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.set noreorder
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mov fp,sp
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/*ldq ra,0(sp)*/
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ldq s3,8(sp)
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ldq s4,16(sp)
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ldq s5,24(sp)
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ldq fp,32(sp)
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lda sp,40(sp)
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ret (ra)
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.end bn_mul_mont
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.rdata
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.asciiz "Montgomery Multiplication for Alpha, CRYPTOGAMS by <appro\@openssl.org>"
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___
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print $code;
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close STDOUT;
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