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Diffstat (limited to 'crypto/bn/asm/ppc64-mont.pl')
| -rw-r--r-- | crypto/bn/asm/ppc64-mont.pl | 1086 |
1 files changed, 1086 insertions, 0 deletions
diff --git a/crypto/bn/asm/ppc64-mont.pl b/crypto/bn/asm/ppc64-mont.pl new file mode 100644 index 0000000000..f040466f43 --- /dev/null +++ b/crypto/bn/asm/ppc64-mont.pl @@ -0,0 +1,1086 @@ +#!/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... + +# December 2009 + +# Adapted for 32-bit build this module delivers 25-120%, yes, more +# than *twice* for longer keys, performance improvement over 32-bit +# ppc-mont.pl on 1.8GHz PPC970. However! This implementation utilizes +# even 64-bit integer operations and the trouble is that most PPC +# operating systems don't preserve upper halves of general purpose +# registers upon 32-bit signal delivery. They do preserve them upon +# context switch, but not signalling:-( This means that asynchronous +# signals have to be blocked upon entry to this subroutine. Signal +# masking (and of course complementary unmasking) has quite an impact +# on performance, naturally larger for shorter keys. It's so severe +# that 512-bit key performance can be as low as 1/3 of expected one. +# This is why this routine can be engaged for longer key operations +# only on these OSes, see crypto/ppccap.c for further details. MacOS X +# is an exception from this and doesn't require signal masking, and +# that's where above improvement coefficients were collected. For +# others alternative would be to break dependence on upper halves of +# GPRs by sticking to 32-bit integer operations... + +$flavour = shift; + +if ($flavour =~ /32/) { + $SIZE_T=4; + $RZONE= 224; + $FRAME= $SIZE_T*12+8*12; + $fname= "bn_mul_mont_fpu64"; + + $STUX= "stwux"; # store indexed and update + $PUSH= "stw"; + $POP= "lwz"; +} elsif ($flavour =~ /64/) { + $SIZE_T=8; + $RZONE= 288; + $FRAME= $SIZE_T*12+8*12; + $fname= "bn_mul_mont_fpu64"; + + # 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 $num,`3*8/$SIZE_T` + mr $rp,r3 ; $rp is reassigned + li r3,0 ; possible "not handled" return code + bltlr- + andi. r0,$num,`16/$SIZE_T-1` ; $num has to be "even" + bnelr- + + slwi $num,$num,`log($SIZE_T)/log(2)` ; num*=sizeof(BN_LONG) + 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`($sp) +___ +$code.=<<___ if ($SIZE_T==8); + ld $a0,0($ap) ; pull ap[0] value + ld $n0,0($n0) ; pull n0[0] value + ld $t3,0($bp) ; bp[0] +___ +$code.=<<___ if ($SIZE_T==4); + mr $t1,$n0 + lwz $a0,0($ap) ; pull ap[0,1] value + lwz $t0,4($ap) + lwz $n0,0($t1) ; pull n0[0,1] value + lwz $t1,4($t1) + lwz $t3,0($bp) ; bp[0,1] + lwz $t2,4($bp) + insrdi $a0,$t0,32,0 + insrdi $n0,$t1,32,0 + insrdi $t3,$t2,32,0 +___ +$code.=<<___; + 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`($sp) +___ +$code.=<<___ if ($SIZE_T==8); + 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) +___ +$code.=<<___ if ($SIZE_T==4); + lwz $t0,0($ap) ; load a[j..j+3] as 32-bit word pairs + lwz $t1,4($ap) + lwz $t2,8($ap) + lwz $t3,12($ap) + lwz $t4,0($np) ; load n[j..j+3] as 32-bit word pairs + lwz $t5,4($np) + lwz $t6,8($np) + lwz $t7,12($np) +___ +$code.=<<___; + 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`($sp) + +.align 5 +L1st: +___ +$code.=<<___ if ($SIZE_T==8); + 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) +___ +$code.=<<___ if ($SIZE_T==4); + lwz $t0,0($ap) ; load a[j..j+3] as 32-bit word pairs + lwz $t1,4($ap) + lwz $t2,8($ap) + lwz $t3,12($ap) + lwz $t4,0($np) ; load n[j..j+3] as 32-bit word pairs + lwz $t5,4($np) + lwz $t6,8($np) + lwz $t7,12($np) +___ +$code.=<<___; + 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 $i,8 ; i=1 +.align 5 +Louter: +___ +$code.=<<___ if ($SIZE_T==8); + ldx $t3,$bp,$i ; bp[i] +___ +$code.=<<___ if ($SIZE_T==4); + add $t0,$bp,$i + lwz $t3,0($t0) ; bp[i,i+1] + lwz $t0,4($t0) + insrdi $t3,$t0,32,0 +___ +$code.=<<___; + 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,$t1 +___ +$code.=<<___ if ($SIZE_T==4); # adjust XER[CA] + extrdi $t0,$t0,32,0 + extrdi $t1,$t1,32,0 + adde $t0,$t0,$t1 +___ +$code.=<<___; + 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,$t2 +___ +$code.=<<___ if ($SIZE_T==4); # adjust XER[CA] + extrdi $t4,$t4,32,0 + extrdi $t2,$t2,32,0 + adde $t4,$t4,$t2 +___ +$code.=<<___; + 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,$t1 +___ +$code.=<<___ if ($SIZE_T==4); # adjust XER[CA] + extrdi $t0,$t0,32,0 + extrdi $t1,$t1,32,0 + adde $t0,$t0,$t1 +___ +$code.=<<___; + adde $t5,$t4,$t2 +___ +$code.=<<___ if ($SIZE_T==4); # adjust XER[CA] + extrdi $t4,$t4,32,0 + extrdi $t2,$t2,32,0 + adde $t4,$t4,$t2 +___ +$code.=<<___; + 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 +___ + +$code.=<<___ if ($SIZE_T==8); + 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 +___ +$code.=<<___ if ($SIZE_T==4); + 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` + addi $np,$np,-4 + addi $rp,$rp,-4 + addi $ap,$sp,`$FRAME+$TRANSFER+4` + mtctr $j + +.align 4 +Lsub: ld $t0,8($tp) ; load tp[j..j+3] in 64-bit word order + ldu $t2,16($tp) + lwz $t4,4($np) ; load np[j..j+3] in 32-bit word order + lwz $t5,8($np) + lwz $t6,12($np) + lwzu $t7,16($np) + extrdi $t1,$t0,32,0 + extrdi $t3,$t2,32,0 + subfe $t4,$t4,$t0 ; tp[j]-np[j] + stw $t0,4($ap) ; save tp[j..j+3] in 32-bit word order + subfe $t5,$t5,$t1 ; tp[j+1]-np[j+1] + stw $t1,8($ap) + subfe $t6,$t6,$t2 ; tp[j+2]-np[j+2] + stw $t2,12($ap) + subfe $t7,$t7,$t3 ; tp[j+3]-np[j+3] + stwu $t3,16($ap) + stw $t4,4($rp) + stw $t5,8($rp) + stw $t6,12($rp) + stwu $t7,16($rp) + bdnz- Lsub + + li $i,0 + subfe $ovf,$i,$ovf ; handle upmost overflow bit + addi $tp,$sp,`$FRAME+$TRANSFER+4` + subf $rp,$num,$rp ; rewind rp + and $ap,$tp,$ovf + andc $np,$rp,$ovf + or $ap,$ap,$np ; ap=borrow?tp:rp + addi $tp,$sp,`$FRAME+$TRANSFER` + mtctr $j + +.align 4 +Lcopy: ; copy or in-place refresh + lwz $t0,4($ap) + lwz $t1,8($ap) + lwz $t2,12($ap) + lwzu $t3,16($ap) + 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) + stw $t0,4($rp) + stw $t1,8($rp) + stw $t2,12($rp) + stwu $t3,16($rp) + std $i,8($tp) ; zap tp at once + stdu $i,16($tp) + bdnz- Lcopy +___ + +$code.=<<___; + $POP r14,`2*$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; |