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Diffstat (limited to 'crypto/bn/asm/ppc64-mont.pl')
| -rwxr-xr-x | crypto/bn/asm/ppc64-mont.pl | 918 |
1 files changed, 0 insertions, 918 deletions
diff --git a/crypto/bn/asm/ppc64-mont.pl b/crypto/bn/asm/ppc64-mont.pl deleted file mode 100755 index 3449b35855da..000000000000 --- a/crypto/bn/asm/ppc64-mont.pl +++ /dev/null @@ -1,918 +0,0 @@ -#!/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/. -# ==================================================================== - -# December 2007 - -# The reason for undertaken effort is basically following. Even though -# Power 6 CPU operates at incredible 4.7GHz clock frequency, its PKI -# performance was observed to be less than impressive, essentially as -# fast as 1.8GHz PPC970, or 2.6 times(!) slower than one would hope. -# Well, it's not surprising that IBM had to make some sacrifices to -# boost the clock frequency that much, but no overall improvement? -# Having observed how much difference did switching to FPU make on -# UltraSPARC, playing same stunt on Power 6 appeared appropriate... -# Unfortunately the resulting performance improvement is not as -# impressive, ~30%, and in absolute terms is still very far from what -# one would expect from 4.7GHz CPU. There is a chance that I'm doing -# something wrong, but in the lack of assembler level micro-profiling -# data or at least decent platform guide I can't tell... Or better -# results might be achieved with VMX... Anyway, this module provides -# *worse* performance on other PowerPC implementations, ~40-15% slower -# on PPC970 depending on key length and ~40% slower on Power 5 for all -# key lengths. As it's obviously inappropriate as "best all-round" -# alternative, it has to be complemented with run-time CPU family -# detection. Oh! It should also be noted that unlike other PowerPC -# implementation IALU ppc-mont.pl module performs *suboptimaly* on -# >=1024-bit key lengths on Power 6. It should also be noted that -# *everything* said so far applies to 64-bit builds! As far as 32-bit -# application executed on 64-bit CPU goes, this module is likely to -# become preferred choice, because it's easy to adapt it for such -# case and *is* faster than 32-bit ppc-mont.pl on *all* processors. - -# February 2008 - -# Micro-profiling assisted optimization results in ~15% improvement -# over original ppc64-mont.pl version, or overall ~50% improvement -# over ppc.pl module on Power 6. If compared to ppc-mont.pl on same -# Power 6 CPU, this module is 5-150% faster depending on key length, -# [hereafter] more for longer keys. But if compared to ppc-mont.pl -# on 1.8GHz PPC970, it's only 5-55% faster. Still far from impressive -# in absolute terms, but it's apparently the way Power 6 is... - -$flavour = shift; - -if ($flavour =~ /32/) { - $SIZE_T=4; - $RZONE= 224; - $FRAME= $SIZE_T*12+8*12; - $fname= "bn_mul_mont_ppc64"; - - $STUX= "stwux"; # store indexed and update - $PUSH= "stw"; - $POP= "lwz"; - die "not implemented yet"; -} elsif ($flavour =~ /64/) { - $SIZE_T=8; - $RZONE= 288; - $FRAME= $SIZE_T*12+8*12; - $fname= "bn_mul_mont"; - - # same as above, but 64-bit mnemonics... - $STUX= "stdux"; # store indexed and update - $PUSH= "std"; - $POP= "ld"; -} else { die "nonsense $flavour"; } - -$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; -( $xlate="${dir}ppc-xlate.pl" and -f $xlate ) or -( $xlate="${dir}../../perlasm/ppc-xlate.pl" and -f $xlate) or -die "can't locate ppc-xlate.pl"; - -open STDOUT,"| $^X $xlate $flavour ".shift || die "can't call $xlate: $!"; - -$FRAME=($FRAME+63)&~63; -$TRANSFER=16*8; - -$carry="r0"; -$sp="r1"; -$toc="r2"; -$rp="r3"; $ovf="r3"; -$ap="r4"; -$bp="r5"; -$np="r6"; -$n0="r7"; -$num="r8"; -$rp="r9"; # $rp is reassigned -$tp="r10"; -$j="r11"; -$i="r12"; -# non-volatile registers -$nap_d="r14"; # interleaved ap and np in double format -$a0="r15"; # ap[0] -$t0="r16"; # temporary registers -$t1="r17"; -$t2="r18"; -$t3="r19"; -$t4="r20"; -$t5="r21"; -$t6="r22"; -$t7="r23"; - -# PPC offers enough register bank capacity to unroll inner loops twice -# -# ..A3A2A1A0 -# dcba -# ----------- -# A0a -# A0b -# A0c -# A0d -# A1a -# A1b -# A1c -# A1d -# A2a -# A2b -# A2c -# A2d -# A3a -# A3b -# A3c -# A3d -# ..a -# ..b -# -$ba="f0"; $bb="f1"; $bc="f2"; $bd="f3"; -$na="f4"; $nb="f5"; $nc="f6"; $nd="f7"; -$dota="f8"; $dotb="f9"; -$A0="f10"; $A1="f11"; $A2="f12"; $A3="f13"; -$N0="f14"; $N1="f15"; $N2="f16"; $N3="f17"; -$T0a="f18"; $T0b="f19"; -$T1a="f20"; $T1b="f21"; -$T2a="f22"; $T2b="f23"; -$T3a="f24"; $T3b="f25"; - -# sp----------->+-------------------------------+ -# | saved sp | -# +-------------------------------+ -# | | -# +-------------------------------+ -# | 10 saved gpr, r14-r23 | -# . . -# . . -# +12*size_t +-------------------------------+ -# | 12 saved fpr, f14-f25 | -# . . -# . . -# +12*8 +-------------------------------+ -# | padding to 64 byte boundary | -# . . -# +X +-------------------------------+ -# | 16 gpr<->fpr transfer zone | -# . . -# . . -# +16*8 +-------------------------------+ -# | __int64 tmp[-1] | -# +-------------------------------+ -# | __int64 tmp[num] | -# . . -# . . -# . . -# +(num+1)*8 +-------------------------------+ -# | padding to 64 byte boundary | -# . . -# +X +-------------------------------+ -# | double nap_d[4*num] | -# . . -# . . -# . . -# +-------------------------------+ - -$code=<<___; -.machine "any" -.text - -.globl .$fname -.align 5 -.$fname: - cmpwi $num,4 - mr $rp,r3 ; $rp is reassigned - li r3,0 ; possible "not handled" return code - bltlr- - andi. r0,$num,1 ; $num has to be even - bnelr- - - slwi $num,$num,3 ; num*=8 - li $i,-4096 - slwi $tp,$num,2 ; place for {an}p_{lh}[num], i.e. 4*num - add $tp,$tp,$num ; place for tp[num+1] - addi $tp,$tp,`$FRAME+$TRANSFER+8+64+$RZONE` - subf $tp,$tp,$sp ; $sp-$tp - and $tp,$tp,$i ; minimize TLB usage - subf $tp,$sp,$tp ; $tp-$sp - $STUX $sp,$sp,$tp ; alloca - - $PUSH r14,`2*$SIZE_T`($sp) - $PUSH r15,`3*$SIZE_T`($sp) - $PUSH r16,`4*$SIZE_T`($sp) - $PUSH r17,`5*$SIZE_T`($sp) - $PUSH r18,`6*$SIZE_T`($sp) - $PUSH r19,`7*$SIZE_T`($sp) - $PUSH r20,`8*$SIZE_T`($sp) - $PUSH r21,`9*$SIZE_T`($sp) - $PUSH r22,`10*$SIZE_T`($sp) - $PUSH r23,`11*$SIZE_T`($sp) - stfd f14,`12*$SIZE_T+0`($sp) - stfd f15,`12*$SIZE_T+8`($sp) - stfd f16,`12*$SIZE_T+16`($sp) - stfd f17,`12*$SIZE_T+24`($sp) - stfd f18,`12*$SIZE_T+32`($sp) - stfd f19,`12*$SIZE_T+40`($sp) - stfd f20,`12*$SIZE_T+48`($sp) - stfd f21,`12*$SIZE_T+56`($sp) - stfd f22,`12*$SIZE_T+64`($sp) - stfd f23,`12*$SIZE_T+72`($sp) - stfd f24,`12*$SIZE_T+80`($sp) - stfd f25,`12*$SIZE_T+88`($sp) - - ld $a0,0($ap) ; pull ap[0] value - ld $n0,0($n0) ; pull n0[0] value - ld $t3,0($bp) ; bp[0] - - addi $tp,$sp,`$FRAME+$TRANSFER+8+64` - li $i,-64 - add $nap_d,$tp,$num - and $nap_d,$nap_d,$i ; align to 64 bytes - - mulld $t7,$a0,$t3 ; ap[0]*bp[0] - ; nap_d is off by 1, because it's used with stfdu/lfdu - addi $nap_d,$nap_d,-8 - srwi $j,$num,`3+1` ; counter register, num/2 - mulld $t7,$t7,$n0 ; tp[0]*n0 - addi $j,$j,-1 - addi $tp,$sp,`$FRAME+$TRANSFER-8` - li $carry,0 - mtctr $j - - ; transfer bp[0] to FPU as 4x16-bit values - extrdi $t0,$t3,16,48 - extrdi $t1,$t3,16,32 - extrdi $t2,$t3,16,16 - extrdi $t3,$t3,16,0 - std $t0,`$FRAME+0`($sp) - std $t1,`$FRAME+8`($sp) - std $t2,`$FRAME+16`($sp) - std $t3,`$FRAME+24`($sp) - ; transfer (ap[0]*bp[0])*n0 to FPU as 4x16-bit values - extrdi $t4,$t7,16,48 - extrdi $t5,$t7,16,32 - extrdi $t6,$t7,16,16 - extrdi $t7,$t7,16,0 - std $t4,`$FRAME+32`($sp) - std $t5,`$FRAME+40`($sp) - std $t6,`$FRAME+48`($sp) - std $t7,`$FRAME+56`($sp) - lwz $t0,4($ap) ; load a[j] as 32-bit word pair - lwz $t1,0($ap) - lwz $t2,12($ap) ; load a[j+1] as 32-bit word pair - lwz $t3,8($ap) - lwz $t4,4($np) ; load n[j] as 32-bit word pair - lwz $t5,0($np) - lwz $t6,12($np) ; load n[j+1] as 32-bit word pair - lwz $t7,8($np) - lfd $ba,`$FRAME+0`($sp) - lfd $bb,`$FRAME+8`($sp) - lfd $bc,`$FRAME+16`($sp) - lfd $bd,`$FRAME+24`($sp) - lfd $na,`$FRAME+32`($sp) - lfd $nb,`$FRAME+40`($sp) - lfd $nc,`$FRAME+48`($sp) - lfd $nd,`$FRAME+56`($sp) - std $t0,`$FRAME+64`($sp) - std $t1,`$FRAME+72`($sp) - std $t2,`$FRAME+80`($sp) - std $t3,`$FRAME+88`($sp) - std $t4,`$FRAME+96`($sp) - std $t5,`$FRAME+104`($sp) - std $t6,`$FRAME+112`($sp) - std $t7,`$FRAME+120`($sp) - fcfid $ba,$ba - fcfid $bb,$bb - fcfid $bc,$bc - fcfid $bd,$bd - fcfid $na,$na - fcfid $nb,$nb - fcfid $nc,$nc - fcfid $nd,$nd - - lfd $A0,`$FRAME+64`($sp) - lfd $A1,`$FRAME+72`($sp) - lfd $A2,`$FRAME+80`($sp) - lfd $A3,`$FRAME+88`($sp) - lfd $N0,`$FRAME+96`($sp) - lfd $N1,`$FRAME+104`($sp) - lfd $N2,`$FRAME+112`($sp) - lfd $N3,`$FRAME+120`($sp) - fcfid $A0,$A0 - fcfid $A1,$A1 - fcfid $A2,$A2 - fcfid $A3,$A3 - fcfid $N0,$N0 - fcfid $N1,$N1 - fcfid $N2,$N2 - fcfid $N3,$N3 - addi $ap,$ap,16 - addi $np,$np,16 - - fmul $T1a,$A1,$ba - fmul $T1b,$A1,$bb - stfd $A0,8($nap_d) ; save a[j] in double format - stfd $A1,16($nap_d) - fmul $T2a,$A2,$ba - fmul $T2b,$A2,$bb - stfd $A2,24($nap_d) ; save a[j+1] in double format - stfd $A3,32($nap_d) - fmul $T3a,$A3,$ba - fmul $T3b,$A3,$bb - stfd $N0,40($nap_d) ; save n[j] in double format - stfd $N1,48($nap_d) - fmul $T0a,$A0,$ba - fmul $T0b,$A0,$bb - stfd $N2,56($nap_d) ; save n[j+1] in double format - stfdu $N3,64($nap_d) - - fmadd $T1a,$A0,$bc,$T1a - fmadd $T1b,$A0,$bd,$T1b - fmadd $T2a,$A1,$bc,$T2a - fmadd $T2b,$A1,$bd,$T2b - fmadd $T3a,$A2,$bc,$T3a - fmadd $T3b,$A2,$bd,$T3b - fmul $dota,$A3,$bc - fmul $dotb,$A3,$bd - - fmadd $T1a,$N1,$na,$T1a - fmadd $T1b,$N1,$nb,$T1b - fmadd $T2a,$N2,$na,$T2a - fmadd $T2b,$N2,$nb,$T2b - fmadd $T3a,$N3,$na,$T3a - fmadd $T3b,$N3,$nb,$T3b - fmadd $T0a,$N0,$na,$T0a - fmadd $T0b,$N0,$nb,$T0b - - fmadd $T1a,$N0,$nc,$T1a - fmadd $T1b,$N0,$nd,$T1b - fmadd $T2a,$N1,$nc,$T2a - fmadd $T2b,$N1,$nd,$T2b - fmadd $T3a,$N2,$nc,$T3a - fmadd $T3b,$N2,$nd,$T3b - fmadd $dota,$N3,$nc,$dota - fmadd $dotb,$N3,$nd,$dotb - - fctid $T0a,$T0a - fctid $T0b,$T0b - fctid $T1a,$T1a - fctid $T1b,$T1b - fctid $T2a,$T2a - fctid $T2b,$T2b - fctid $T3a,$T3a - fctid $T3b,$T3b - - stfd $T0a,`$FRAME+0`($sp) - stfd $T0b,`$FRAME+8`($sp) - stfd $T1a,`$FRAME+16`($sp) - stfd $T1b,`$FRAME+24`($sp) - stfd $T2a,`$FRAME+32`($sp) - stfd $T2b,`$FRAME+40`($sp) - stfd $T3a,`$FRAME+48`($sp) - stfd $T3b,`$FRAME+56`($sp) - -.align 5 -L1st: - lwz $t0,4($ap) ; load a[j] as 32-bit word pair - lwz $t1,0($ap) - lwz $t2,12($ap) ; load a[j+1] as 32-bit word pair - lwz $t3,8($ap) - lwz $t4,4($np) ; load n[j] as 32-bit word pair - lwz $t5,0($np) - lwz $t6,12($np) ; load n[j+1] as 32-bit word pair - lwz $t7,8($np) - std $t0,`$FRAME+64`($sp) - std $t1,`$FRAME+72`($sp) - std $t2,`$FRAME+80`($sp) - std $t3,`$FRAME+88`($sp) - std $t4,`$FRAME+96`($sp) - std $t5,`$FRAME+104`($sp) - std $t6,`$FRAME+112`($sp) - std $t7,`$FRAME+120`($sp) - ld $t0,`$FRAME+0`($sp) - ld $t1,`$FRAME+8`($sp) - ld $t2,`$FRAME+16`($sp) - ld $t3,`$FRAME+24`($sp) - ld $t4,`$FRAME+32`($sp) - ld $t5,`$FRAME+40`($sp) - ld $t6,`$FRAME+48`($sp) - ld $t7,`$FRAME+56`($sp) - lfd $A0,`$FRAME+64`($sp) - lfd $A1,`$FRAME+72`($sp) - lfd $A2,`$FRAME+80`($sp) - lfd $A3,`$FRAME+88`($sp) - lfd $N0,`$FRAME+96`($sp) - lfd $N1,`$FRAME+104`($sp) - lfd $N2,`$FRAME+112`($sp) - lfd $N3,`$FRAME+120`($sp) - fcfid $A0,$A0 - fcfid $A1,$A1 - fcfid $A2,$A2 - fcfid $A3,$A3 - fcfid $N0,$N0 - fcfid $N1,$N1 - fcfid $N2,$N2 - fcfid $N3,$N3 - addi $ap,$ap,16 - addi $np,$np,16 - - fmul $T1a,$A1,$ba - fmul $T1b,$A1,$bb - fmul $T2a,$A2,$ba - fmul $T2b,$A2,$bb - stfd $A0,8($nap_d) ; save a[j] in double format - stfd $A1,16($nap_d) - fmul $T3a,$A3,$ba - fmul $T3b,$A3,$bb - fmadd $T0a,$A0,$ba,$dota - fmadd $T0b,$A0,$bb,$dotb - stfd $A2,24($nap_d) ; save a[j+1] in double format - stfd $A3,32($nap_d) - - fmadd $T1a,$A0,$bc,$T1a - fmadd $T1b,$A0,$bd,$T1b - fmadd $T2a,$A1,$bc,$T2a - fmadd $T2b,$A1,$bd,$T2b - stfd $N0,40($nap_d) ; save n[j] in double format - stfd $N1,48($nap_d) - fmadd $T3a,$A2,$bc,$T3a - fmadd $T3b,$A2,$bd,$T3b - add $t0,$t0,$carry ; can not overflow - fmul $dota,$A3,$bc - fmul $dotb,$A3,$bd - stfd $N2,56($nap_d) ; save n[j+1] in double format - stfdu $N3,64($nap_d) - srdi $carry,$t0,16 - add $t1,$t1,$carry - srdi $carry,$t1,16 - - fmadd $T1a,$N1,$na,$T1a - fmadd $T1b,$N1,$nb,$T1b - insrdi $t0,$t1,16,32 - fmadd $T2a,$N2,$na,$T2a - fmadd $T2b,$N2,$nb,$T2b - add $t2,$t2,$carry - fmadd $T3a,$N3,$na,$T3a - fmadd $T3b,$N3,$nb,$T3b - srdi $carry,$t2,16 - fmadd $T0a,$N0,$na,$T0a - fmadd $T0b,$N0,$nb,$T0b - insrdi $t0,$t2,16,16 - add $t3,$t3,$carry - srdi $carry,$t3,16 - - fmadd $T1a,$N0,$nc,$T1a - fmadd $T1b,$N0,$nd,$T1b - insrdi $t0,$t3,16,0 ; 0..63 bits - fmadd $T2a,$N1,$nc,$T2a - fmadd $T2b,$N1,$nd,$T2b - add $t4,$t4,$carry - fmadd $T3a,$N2,$nc,$T3a - fmadd $T3b,$N2,$nd,$T3b - srdi $carry,$t4,16 - fmadd $dota,$N3,$nc,$dota - fmadd $dotb,$N3,$nd,$dotb - add $t5,$t5,$carry - srdi $carry,$t5,16 - insrdi $t4,$t5,16,32 - - fctid $T0a,$T0a - fctid $T0b,$T0b - add $t6,$t6,$carry - fctid $T1a,$T1a - fctid $T1b,$T1b - srdi $carry,$t6,16 - fctid $T2a,$T2a - fctid $T2b,$T2b - insrdi $t4,$t6,16,16 - fctid $T3a,$T3a - fctid $T3b,$T3b - add $t7,$t7,$carry - insrdi $t4,$t7,16,0 ; 64..127 bits - srdi $carry,$t7,16 ; upper 33 bits - - stfd $T0a,`$FRAME+0`($sp) - stfd $T0b,`$FRAME+8`($sp) - stfd $T1a,`$FRAME+16`($sp) - stfd $T1b,`$FRAME+24`($sp) - stfd $T2a,`$FRAME+32`($sp) - stfd $T2b,`$FRAME+40`($sp) - stfd $T3a,`$FRAME+48`($sp) - stfd $T3b,`$FRAME+56`($sp) - std $t0,8($tp) ; tp[j-1] - stdu $t4,16($tp) ; tp[j] - bdnz- L1st - - fctid $dota,$dota - fctid $dotb,$dotb - - ld $t0,`$FRAME+0`($sp) - ld $t1,`$FRAME+8`($sp) - ld $t2,`$FRAME+16`($sp) - ld $t3,`$FRAME+24`($sp) - ld $t4,`$FRAME+32`($sp) - ld $t5,`$FRAME+40`($sp) - ld $t6,`$FRAME+48`($sp) - ld $t7,`$FRAME+56`($sp) - stfd $dota,`$FRAME+64`($sp) - stfd $dotb,`$FRAME+72`($sp) - - add $t0,$t0,$carry ; can not overflow - srdi $carry,$t0,16 - add $t1,$t1,$carry - srdi $carry,$t1,16 - insrdi $t0,$t1,16,32 - add $t2,$t2,$carry - srdi $carry,$t2,16 - insrdi $t0,$t2,16,16 - add $t3,$t3,$carry - srdi $carry,$t3,16 - insrdi $t0,$t3,16,0 ; 0..63 bits - add $t4,$t4,$carry - srdi $carry,$t4,16 - add $t5,$t5,$carry - srdi $carry,$t5,16 - insrdi $t4,$t5,16,32 - add $t6,$t6,$carry - srdi $carry,$t6,16 - insrdi $t4,$t6,16,16 - add $t7,$t7,$carry - insrdi $t4,$t7,16,0 ; 64..127 bits - srdi $carry,$t7,16 ; upper 33 bits - ld $t6,`$FRAME+64`($sp) - ld $t7,`$FRAME+72`($sp) - - std $t0,8($tp) ; tp[j-1] - stdu $t4,16($tp) ; tp[j] - - add $t6,$t6,$carry ; can not overflow - srdi $carry,$t6,16 - add $t7,$t7,$carry - insrdi $t6,$t7,48,0 - srdi $ovf,$t7,48 - std $t6,8($tp) ; tp[num-1] - - slwi $t7,$num,2 - subf $nap_d,$t7,$nap_d ; rewind pointer - - li $i,8 ; i=1 -.align 5 -Louter: - ldx $t3,$bp,$i ; bp[i] - ld $t6,`$FRAME+$TRANSFER+8`($sp) ; tp[0] - mulld $t7,$a0,$t3 ; ap[0]*bp[i] - - addi $tp,$sp,`$FRAME+$TRANSFER` - add $t7,$t7,$t6 ; ap[0]*bp[i]+tp[0] - li $carry,0 - mulld $t7,$t7,$n0 ; tp[0]*n0 - mtctr $j - - ; transfer bp[i] to FPU as 4x16-bit values - extrdi $t0,$t3,16,48 - extrdi $t1,$t3,16,32 - extrdi $t2,$t3,16,16 - extrdi $t3,$t3,16,0 - std $t0,`$FRAME+0`($sp) - std $t1,`$FRAME+8`($sp) - std $t2,`$FRAME+16`($sp) - std $t3,`$FRAME+24`($sp) - ; transfer (ap[0]*bp[i]+tp[0])*n0 to FPU as 4x16-bit values - extrdi $t4,$t7,16,48 - extrdi $t5,$t7,16,32 - extrdi $t6,$t7,16,16 - extrdi $t7,$t7,16,0 - std $t4,`$FRAME+32`($sp) - std $t5,`$FRAME+40`($sp) - std $t6,`$FRAME+48`($sp) - std $t7,`$FRAME+56`($sp) - - lfd $A0,8($nap_d) ; load a[j] in double format - lfd $A1,16($nap_d) - lfd $A2,24($nap_d) ; load a[j+1] in double format - lfd $A3,32($nap_d) - lfd $N0,40($nap_d) ; load n[j] in double format - lfd $N1,48($nap_d) - lfd $N2,56($nap_d) ; load n[j+1] in double format - lfdu $N3,64($nap_d) - - lfd $ba,`$FRAME+0`($sp) - lfd $bb,`$FRAME+8`($sp) - lfd $bc,`$FRAME+16`($sp) - lfd $bd,`$FRAME+24`($sp) - lfd $na,`$FRAME+32`($sp) - lfd $nb,`$FRAME+40`($sp) - lfd $nc,`$FRAME+48`($sp) - lfd $nd,`$FRAME+56`($sp) - - fcfid $ba,$ba - fcfid $bb,$bb - fcfid $bc,$bc - fcfid $bd,$bd - fcfid $na,$na - fcfid $nb,$nb - fcfid $nc,$nc - fcfid $nd,$nd - - fmul $T1a,$A1,$ba - fmul $T1b,$A1,$bb - fmul $T2a,$A2,$ba - fmul $T2b,$A2,$bb - fmul $T3a,$A3,$ba - fmul $T3b,$A3,$bb - fmul $T0a,$A0,$ba - fmul $T0b,$A0,$bb - - fmadd $T1a,$A0,$bc,$T1a - fmadd $T1b,$A0,$bd,$T1b - fmadd $T2a,$A1,$bc,$T2a - fmadd $T2b,$A1,$bd,$T2b - fmadd $T3a,$A2,$bc,$T3a - fmadd $T3b,$A2,$bd,$T3b - fmul $dota,$A3,$bc - fmul $dotb,$A3,$bd - - fmadd $T1a,$N1,$na,$T1a - fmadd $T1b,$N1,$nb,$T1b - lfd $A0,8($nap_d) ; load a[j] in double format - lfd $A1,16($nap_d) - fmadd $T2a,$N2,$na,$T2a - fmadd $T2b,$N2,$nb,$T2b - lfd $A2,24($nap_d) ; load a[j+1] in double format - lfd $A3,32($nap_d) - fmadd $T3a,$N3,$na,$T3a - fmadd $T3b,$N3,$nb,$T3b - fmadd $T0a,$N0,$na,$T0a - fmadd $T0b,$N0,$nb,$T0b - - fmadd $T1a,$N0,$nc,$T1a - fmadd $T1b,$N0,$nd,$T1b - fmadd $T2a,$N1,$nc,$T2a - fmadd $T2b,$N1,$nd,$T2b - fmadd $T3a,$N2,$nc,$T3a - fmadd $T3b,$N2,$nd,$T3b - fmadd $dota,$N3,$nc,$dota - fmadd $dotb,$N3,$nd,$dotb - - fctid $T0a,$T0a - fctid $T0b,$T0b - fctid $T1a,$T1a - fctid $T1b,$T1b - fctid $T2a,$T2a - fctid $T2b,$T2b - fctid $T3a,$T3a - fctid $T3b,$T3b - - stfd $T0a,`$FRAME+0`($sp) - stfd $T0b,`$FRAME+8`($sp) - stfd $T1a,`$FRAME+16`($sp) - stfd $T1b,`$FRAME+24`($sp) - stfd $T2a,`$FRAME+32`($sp) - stfd $T2b,`$FRAME+40`($sp) - stfd $T3a,`$FRAME+48`($sp) - stfd $T3b,`$FRAME+56`($sp) - -.align 5 -Linner: - fmul $T1a,$A1,$ba - fmul $T1b,$A1,$bb - fmul $T2a,$A2,$ba - fmul $T2b,$A2,$bb - lfd $N0,40($nap_d) ; load n[j] in double format - lfd $N1,48($nap_d) - fmul $T3a,$A3,$ba - fmul $T3b,$A3,$bb - fmadd $T0a,$A0,$ba,$dota - fmadd $T0b,$A0,$bb,$dotb - lfd $N2,56($nap_d) ; load n[j+1] in double format - lfdu $N3,64($nap_d) - - fmadd $T1a,$A0,$bc,$T1a - fmadd $T1b,$A0,$bd,$T1b - fmadd $T2a,$A1,$bc,$T2a - fmadd $T2b,$A1,$bd,$T2b - lfd $A0,8($nap_d) ; load a[j] in double format - lfd $A1,16($nap_d) - fmadd $T3a,$A2,$bc,$T3a - fmadd $T3b,$A2,$bd,$T3b - fmul $dota,$A3,$bc - fmul $dotb,$A3,$bd - lfd $A2,24($nap_d) ; load a[j+1] in double format - lfd $A3,32($nap_d) - - fmadd $T1a,$N1,$na,$T1a - fmadd $T1b,$N1,$nb,$T1b - ld $t0,`$FRAME+0`($sp) - ld $t1,`$FRAME+8`($sp) - fmadd $T2a,$N2,$na,$T2a - fmadd $T2b,$N2,$nb,$T2b - ld $t2,`$FRAME+16`($sp) - ld $t3,`$FRAME+24`($sp) - fmadd $T3a,$N3,$na,$T3a - fmadd $T3b,$N3,$nb,$T3b - add $t0,$t0,$carry ; can not overflow - ld $t4,`$FRAME+32`($sp) - ld $t5,`$FRAME+40`($sp) - fmadd $T0a,$N0,$na,$T0a - fmadd $T0b,$N0,$nb,$T0b - srdi $carry,$t0,16 - add $t1,$t1,$carry - srdi $carry,$t1,16 - ld $t6,`$FRAME+48`($sp) - ld $t7,`$FRAME+56`($sp) - - fmadd $T1a,$N0,$nc,$T1a - fmadd $T1b,$N0,$nd,$T1b - insrdi $t0,$t1,16,32 - ld $t1,8($tp) ; tp[j] - fmadd $T2a,$N1,$nc,$T2a - fmadd $T2b,$N1,$nd,$T2b - add $t2,$t2,$carry - fmadd $T3a,$N2,$nc,$T3a - fmadd $T3b,$N2,$nd,$T3b - srdi $carry,$t2,16 - insrdi $t0,$t2,16,16 - fmadd $dota,$N3,$nc,$dota - fmadd $dotb,$N3,$nd,$dotb - add $t3,$t3,$carry - ldu $t2,16($tp) ; tp[j+1] - srdi $carry,$t3,16 - insrdi $t0,$t3,16,0 ; 0..63 bits - add $t4,$t4,$carry - - fctid $T0a,$T0a - fctid $T0b,$T0b - srdi $carry,$t4,16 - fctid $T1a,$T1a - fctid $T1b,$T1b - add $t5,$t5,$carry - fctid $T2a,$T2a - fctid $T2b,$T2b - srdi $carry,$t5,16 - insrdi $t4,$t5,16,32 - fctid $T3a,$T3a - fctid $T3b,$T3b - add $t6,$t6,$carry - srdi $carry,$t6,16 - insrdi $t4,$t6,16,16 - - stfd $T0a,`$FRAME+0`($sp) - stfd $T0b,`$FRAME+8`($sp) - add $t7,$t7,$carry - addc $t3,$t0,$t1 - stfd $T1a,`$FRAME+16`($sp) - stfd $T1b,`$FRAME+24`($sp) - insrdi $t4,$t7,16,0 ; 64..127 bits - srdi $carry,$t7,16 ; upper 33 bits - stfd $T2a,`$FRAME+32`($sp) - stfd $T2b,`$FRAME+40`($sp) - adde $t5,$t4,$t2 - stfd $T3a,`$FRAME+48`($sp) - stfd $T3b,`$FRAME+56`($sp) - addze $carry,$carry - std $t3,-16($tp) ; tp[j-1] - std $t5,-8($tp) ; tp[j] - bdnz- Linner - - fctid $dota,$dota - fctid $dotb,$dotb - ld $t0,`$FRAME+0`($sp) - ld $t1,`$FRAME+8`($sp) - ld $t2,`$FRAME+16`($sp) - ld $t3,`$FRAME+24`($sp) - ld $t4,`$FRAME+32`($sp) - ld $t5,`$FRAME+40`($sp) - ld $t6,`$FRAME+48`($sp) - ld $t7,`$FRAME+56`($sp) - stfd $dota,`$FRAME+64`($sp) - stfd $dotb,`$FRAME+72`($sp) - - add $t0,$t0,$carry ; can not overflow - srdi $carry,$t0,16 - add $t1,$t1,$carry - srdi $carry,$t1,16 - insrdi $t0,$t1,16,32 - add $t2,$t2,$carry - ld $t1,8($tp) ; tp[j] - srdi $carry,$t2,16 - insrdi $t0,$t2,16,16 - add $t3,$t3,$carry - ldu $t2,16($tp) ; tp[j+1] - srdi $carry,$t3,16 - insrdi $t0,$t3,16,0 ; 0..63 bits - add $t4,$t4,$carry - srdi $carry,$t4,16 - add $t5,$t5,$carry - srdi $carry,$t5,16 - insrdi $t4,$t5,16,32 - add $t6,$t6,$carry - srdi $carry,$t6,16 - insrdi $t4,$t6,16,16 - add $t7,$t7,$carry - insrdi $t4,$t7,16,0 ; 64..127 bits - srdi $carry,$t7,16 ; upper 33 bits - ld $t6,`$FRAME+64`($sp) - ld $t7,`$FRAME+72`($sp) - - addc $t3,$t0,$t1 - adde $t5,$t4,$t2 - addze $carry,$carry - - std $t3,-16($tp) ; tp[j-1] - std $t5,-8($tp) ; tp[j] - - add $carry,$carry,$ovf ; comsume upmost overflow - add $t6,$t6,$carry ; can not overflow - srdi $carry,$t6,16 - add $t7,$t7,$carry - insrdi $t6,$t7,48,0 - srdi $ovf,$t7,48 - std $t6,0($tp) ; tp[num-1] - - slwi $t7,$num,2 - addi $i,$i,8 - subf $nap_d,$t7,$nap_d ; rewind pointer - cmpw $i,$num - blt- Louter - - subf $np,$num,$np ; rewind np - addi $j,$j,1 ; restore counter - subfc $i,$i,$i ; j=0 and "clear" XER[CA] - addi $tp,$sp,`$FRAME+$TRANSFER+8` - addi $t4,$sp,`$FRAME+$TRANSFER+16` - addi $t5,$np,8 - addi $t6,$rp,8 - mtctr $j - -.align 4 -Lsub: ldx $t0,$tp,$i - ldx $t1,$np,$i - ldx $t2,$t4,$i - ldx $t3,$t5,$i - subfe $t0,$t1,$t0 ; tp[j]-np[j] - subfe $t2,$t3,$t2 ; tp[j+1]-np[j+1] - stdx $t0,$rp,$i - stdx $t2,$t6,$i - addi $i,$i,16 - bdnz- Lsub - - li $i,0 - subfe $ovf,$i,$ovf ; handle upmost overflow bit - and $ap,$tp,$ovf - andc $np,$rp,$ovf - or $ap,$ap,$np ; ap=borrow?tp:rp - addi $t7,$ap,8 - mtctr $j - -.align 4 -Lcopy: ; copy or in-place refresh - ldx $t0,$ap,$i - ldx $t1,$t7,$i - std $i,8($nap_d) ; zap nap_d - std $i,16($nap_d) - std $i,24($nap_d) - std $i,32($nap_d) - std $i,40($nap_d) - std $i,48($nap_d) - std $i,56($nap_d) - stdu $i,64($nap_d) - stdx $t0,$rp,$i - stdx $t1,$t6,$i - stdx $i,$tp,$i ; zap tp at once - stdx $i,$t4,$i - addi $i,$i,16 - bdnz- Lcopy - - $POP r14,`2*$SIZE_T`($sp) - $POP r15,`3*$SIZE_T`($sp) - $POP r16,`4*$SIZE_T`($sp) - $POP r17,`5*$SIZE_T`($sp) - $POP r18,`6*$SIZE_T`($sp) - $POP r19,`7*$SIZE_T`($sp) - $POP r20,`8*$SIZE_T`($sp) - $POP r21,`9*$SIZE_T`($sp) - $POP r22,`10*$SIZE_T`($sp) - $POP r23,`11*$SIZE_T`($sp) - lfd f14,`12*$SIZE_T+0`($sp) - lfd f15,`12*$SIZE_T+8`($sp) - lfd f16,`12*$SIZE_T+16`($sp) - lfd f17,`12*$SIZE_T+24`($sp) - lfd f18,`12*$SIZE_T+32`($sp) - lfd f19,`12*$SIZE_T+40`($sp) - lfd f20,`12*$SIZE_T+48`($sp) - lfd f21,`12*$SIZE_T+56`($sp) - lfd f22,`12*$SIZE_T+64`($sp) - lfd f23,`12*$SIZE_T+72`($sp) - lfd f24,`12*$SIZE_T+80`($sp) - lfd f25,`12*$SIZE_T+88`($sp) - $POP $sp,0($sp) - li r3,1 ; signal "handled" - blr - .long 0 -.asciz "Montgomery Multiplication for PPC64, CRYPTOGAMS by <appro\@fy.chalmers.se>" -___ - -$code =~ s/\`([^\`]*)\`/eval $1/gem; -print $code; -close STDOUT; |