#! /usr/bin/env perl # Copyright 2007-2016 The OpenSSL Project Authors. All Rights Reserved. # # Licensed under the OpenSSL license (the "License"). You may not use # this file except in compliance with the License. You can obtain a copy # in the file LICENSE in the source distribution or at # https://www.openssl.org/source/license.html # ==================================================================== # Written by Andy Polyakov 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/. # ==================================================================== # January 2007. # Montgomery multiplication for ARMv4. # # Performance improvement naturally varies among CPU implementations # and compilers. The code was observed to provide +65-35% improvement # [depending on key length, less for longer keys] on ARM920T, and # +115-80% on Intel IXP425. This is compared to pre-bn_mul_mont code # base and compiler generated code with in-lined umull and even umlal # instructions. The latter means that this code didn't really have an # "advantage" of utilizing some "secret" instruction. # # The code is interoperable with Thumb ISA and is rather compact, less # than 1/2KB. Windows CE port would be trivial, as it's exclusively # about decorations, ABI and instruction syntax are identical. # November 2013 # # Add NEON code path, which handles lengths divisible by 8. RSA/DSA # performance improvement on Cortex-A8 is ~45-100% depending on key # length, more for longer keys. On Cortex-A15 the span is ~10-105%. # On Snapdragon S4 improvement was measured to vary from ~70% to # incredible ~380%, yes, 4.8x faster, for RSA4096 sign. But this is # rather because original integer-only code seems to perform # suboptimally on S4. Situation on Cortex-A9 is unfortunately # different. It's being looked into, but the trouble is that # performance for vectors longer than 256 bits is actually couple # of percent worse than for integer-only code. The code is chosen # for execution on all NEON-capable processors, because gain on # others outweighs the marginal loss on Cortex-A9. # September 2015 # # Align Cortex-A9 performance with November 2013 improvements, i.e. # NEON code is now ~20-105% faster than integer-only one on this # processor. But this optimization further improved performance even # on other processors: NEON code path is ~45-180% faster than original # integer-only on Cortex-A8, ~10-210% on Cortex-A15, ~70-450% on # Snapdragon S4. $flavour = shift; if ($flavour=~/\w[\w\-]*\.\w+$/) { $output=$flavour; undef $flavour; } else { while (($output=shift) && ($output!~/\w[\w\-]*\.\w+$/)) {} } if ($flavour && $flavour ne "void") { $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; ( $xlate="${dir}arm-xlate.pl" and -f $xlate ) or ( $xlate="${dir}../../../perlasm/arm-xlate.pl" and -f $xlate) or die "can't locate arm-xlate.pl"; open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\""; *STDOUT=*OUT; } else { open OUT,">$output"; *STDOUT=*OUT; } $num="r0"; # starts as num argument, but holds &tp[num-1] $ap="r1"; $bp="r2"; $bi="r2"; $rp="r2"; $np="r3"; $tp="r4"; $aj="r5"; $nj="r6"; $tj="r7"; $n0="r8"; ########### # r9 is reserved by ELF as platform specific, e.g. TLS pointer $alo="r10"; # sl, gcc uses it to keep @GOT $ahi="r11"; # fp $nlo="r12"; # ip ########### # r13 is stack pointer $nhi="r14"; # lr ########### # r15 is program counter #### argument block layout relative to &tp[num-1], a.k.a. $num $_rp="$num,#12*4"; # ap permanently resides in r1 $_bp="$num,#13*4"; # np permanently resides in r3 $_n0="$num,#14*4"; $_num="$num,#15*4"; $_bpend=$_num; $code=<<___; #include @ Silence ARMv8 deprecated IT instruction warnings. This file is used by both @ ARMv7 and ARMv8 processors and does not use ARMv8 instructions. .arch armv7-a .text #if defined(__thumb2__) .syntax unified .thumb #else .code 32 #endif #if __ARM_MAX_ARCH__>=7 .extern OPENSSL_armcap_P .hidden OPENSSL_armcap_P .align 5 .LOPENSSL_armcap: .word OPENSSL_armcap_P-.Lbn_mul_mont #endif .global bn_mul_mont .type bn_mul_mont,%function .align 5 bn_mul_mont: .Lbn_mul_mont: ldr ip,[sp,#4] @ load num stmdb sp!,{r0,r2} @ sp points at argument block #if __ARM_MAX_ARCH__>=7 tst ip,#7 bne .Lialu adr r0,.Lbn_mul_mont ldr r2,.LOPENSSL_armcap ldr r0,[r0,r2] #ifdef __APPLE__ ldr r0,[r0] #endif tst r0,#ARMV7_NEON @ NEON available? ldmia sp, {r0,r2} beq .Lialu add sp,sp,#8 b bn_mul8x_mont_neon .align 4 .Lialu: #endif cmp ip,#2 mov $num,ip @ load num #ifdef __thumb2__ ittt lt #endif movlt r0,#0 addlt sp,sp,#2*4 blt .Labrt stmdb sp!,{r4-r12,lr} @ save 10 registers mov $num,$num,lsl#2 @ rescale $num for byte count sub sp,sp,$num @ alloca(4*num) sub sp,sp,#4 @ +extra dword sub $num,$num,#4 @ "num=num-1" add $tp,$bp,$num @ &bp[num-1] add $num,sp,$num @ $num to point at &tp[num-1] ldr $n0,[$_n0] @ &n0 ldr $bi,[$bp] @ bp[0] ldr $aj,[$ap],#4 @ ap[0],ap++ ldr $nj,[$np],#4 @ np[0],np++ ldr $n0,[$n0] @ *n0 str $tp,[$_bpend] @ save &bp[num] umull $alo,$ahi,$aj,$bi @ ap[0]*bp[0] str $n0,[$_n0] @ save n0 value mul $n0,$alo,$n0 @ "tp[0]"*n0 mov $nlo,#0 umlal $alo,$nlo,$nj,$n0 @ np[0]*n0+"t[0]" mov $tp,sp .L1st: ldr $aj,[$ap],#4 @ ap[j],ap++ mov $alo,$ahi ldr $nj,[$np],#4 @ np[j],np++ mov $ahi,#0 umlal $alo,$ahi,$aj,$bi @ ap[j]*bp[0] mov $nhi,#0 umlal $nlo,$nhi,$nj,$n0 @ np[j]*n0 adds $nlo,$nlo,$alo str $nlo,[$tp],#4 @ tp[j-1]=,tp++ adc $nlo,$nhi,#0 cmp $tp,$num bne .L1st adds $nlo,$nlo,$ahi ldr $tp,[$_bp] @ restore bp mov $nhi,#0 ldr $n0,[$_n0] @ restore n0 adc $nhi,$nhi,#0 str $nlo,[$num] @ tp[num-1]= mov $tj,sp str $nhi,[$num,#4] @ tp[num]= .Louter: sub $tj,$num,$tj @ "original" $num-1 value sub $ap,$ap,$tj @ "rewind" ap to &ap[1] ldr $bi,[$tp,#4]! @ *(++bp) sub $np,$np,$tj @ "rewind" np to &np[1] ldr $aj,[$ap,#-4] @ ap[0] ldr $alo,[sp] @ tp[0] ldr $nj,[$np,#-4] @ np[0] ldr $tj,[sp,#4] @ tp[1] mov $ahi,#0 umlal $alo,$ahi,$aj,$bi @ ap[0]*bp[i]+tp[0] str $tp,[$_bp] @ save bp mul $n0,$alo,$n0 mov $nlo,#0 umlal $alo,$nlo,$nj,$n0 @ np[0]*n0+"tp[0]" mov $tp,sp .Linner: ldr $aj,[$ap],#4 @ ap[j],ap++ adds $alo,$ahi,$tj @ +=tp[j] ldr $nj,[$np],#4 @ np[j],np++ mov $ahi,#0 umlal $alo,$ahi,$aj,$bi @ ap[j]*bp[i] mov $nhi,#0 umlal $nlo,$nhi,$nj,$n0 @ np[j]*n0 adc $ahi,$ahi,#0 ldr $tj,[$tp,#8] @ tp[j+1] adds $nlo,$nlo,$alo str $nlo,[$tp],#4 @ tp[j-1]=,tp++ adc $nlo,$nhi,#0 cmp $tp,$num bne .Linner adds $nlo,$nlo,$ahi mov $nhi,#0 ldr $tp,[$_bp] @ restore bp adc $nhi,$nhi,#0 ldr $n0,[$_n0] @ restore n0 adds $nlo,$nlo,$tj ldr $tj,[$_bpend] @ restore &bp[num] adc $nhi,$nhi,#0 str $nlo,[$num] @ tp[num-1]= str $nhi,[$num,#4] @ tp[num]= cmp $tp,$tj #ifdef __thumb2__ itt ne #endif movne $tj,sp bne .Louter ldr $rp,[$_rp] @ pull rp mov $aj,sp add $num,$num,#4 @ $num to point at &tp[num] sub $aj,$num,$aj @ "original" num value mov $tp,sp @ "rewind" $tp mov $ap,$tp @ "borrow" $ap sub $np,$np,$aj @ "rewind" $np to &np[0] subs $tj,$tj,$tj @ "clear" carry flag .Lsub: ldr $tj,[$tp],#4 ldr $nj,[$np],#4 sbcs $tj,$tj,$nj @ tp[j]-np[j] str $tj,[$rp],#4 @ rp[j]= teq $tp,$num @ preserve carry bne .Lsub sbcs $nhi,$nhi,#0 @ upmost carry mov $tp,sp @ "rewind" $tp sub $rp,$rp,$aj @ "rewind" $rp .Lcopy: ldr $tj,[$tp] @ conditional copy ldr $aj,[$rp] str sp,[$tp],#4 @ zap tp #ifdef __thumb2__ it cc #endif movcc $aj,$tj str $aj,[$rp],#4 teq $tp,$num @ preserve carry bne .Lcopy mov sp,$num add sp,sp,#4 @ skip over tp[num+1] ldmia sp!,{r4-r12,lr} @ restore registers add sp,sp,#2*4 @ skip over {r0,r2} mov r0,#1 .Labrt: #if __ARM_ARCH__>=5 ret @ bx lr #else tst lr,#1 moveq pc,lr @ be binary compatible with V4, yet bx lr @ interoperable with Thumb ISA:-) #endif .size bn_mul_mont,.-bn_mul_mont ___ { my ($A0,$A1,$A2,$A3)=map("d$_",(0..3)); my ($N0,$N1,$N2,$N3)=map("d$_",(4..7)); my ($Z,$Temp)=("q4","q5"); my @ACC=map("q$_",(6..13)); my ($Bi,$Ni,$M0)=map("d$_",(28..31)); my $zero="$Z#lo"; my $temp="$Temp#lo"; my ($rptr,$aptr,$bptr,$nptr,$n0,$num)=map("r$_",(0..5)); my ($tinptr,$toutptr,$inner,$outer,$bnptr)=map("r$_",(6..11)); $code.=<<___; #if __ARM_MAX_ARCH__>=7 .arch armv7-a .fpu neon .type bn_mul8x_mont_neon,%function .align 5 bn_mul8x_mont_neon: mov ip,sp stmdb sp!,{r4-r11} vstmdb sp!,{d8-d15} @ ABI specification says so ldmia ip,{r4-r5} @ load rest of parameter block mov ip,sp cmp $num,#8 bhi .LNEON_8n @ special case for $num==8, everything is in register bank... vld1.32 {${Bi}[0]}, [$bptr,:32]! veor $zero,$zero,$zero sub $toutptr,sp,$num,lsl#4 vld1.32 {$A0-$A3}, [$aptr]! @ can't specify :32 :-( and $toutptr,$toutptr,#-64 vld1.32 {${M0}[0]}, [$n0,:32] mov sp,$toutptr @ alloca vzip.16 $Bi,$zero vmull.u32 @ACC[0],$Bi,${A0}[0] vmull.u32 @ACC[1],$Bi,${A0}[1] vmull.u32 @ACC[2],$Bi,${A1}[0] vshl.i64 $Ni,@ACC[0]#hi,#16 vmull.u32 @ACC[3],$Bi,${A1}[1] vadd.u64 $Ni,$Ni,@ACC[0]#lo veor $zero,$zero,$zero vmul.u32 $Ni,$Ni,$M0 vmull.u32 @ACC[4],$Bi,${A2}[0] vld1.32 {$N0-$N3}, [$nptr]! vmull.u32 @ACC[5],$Bi,${A2}[1] vmull.u32 @ACC[6],$Bi,${A3}[0] vzip.16 $Ni,$zero vmull.u32 @ACC[7],$Bi,${A3}[1] vmlal.u32 @ACC[0],$Ni,${N0}[0] sub $outer,$num,#1 vmlal.u32 @ACC[1],$Ni,${N0}[1] vmlal.u32 @ACC[2],$Ni,${N1}[0] vmlal.u32 @ACC[3],$Ni,${N1}[1] vmlal.u32 @ACC[4],$Ni,${N2}[0] vmov $Temp,@ACC[0] vmlal.u32 @ACC[5],$Ni,${N2}[1] vmov @ACC[0],@ACC[1] vmlal.u32 @ACC[6],$Ni,${N3}[0] vmov @ACC[1],@ACC[2] vmlal.u32 @ACC[7],$Ni,${N3}[1] vmov @ACC[2],@ACC[3] vmov @ACC[3],@ACC[4] vshr.u64 $temp,$temp,#16 vmov @ACC[4],@ACC[5] vmov @ACC[5],@ACC[6] vadd.u64 $temp,$temp,$Temp#hi vmov @ACC[6],@ACC[7] veor @ACC[7],@ACC[7] vshr.u64 $temp,$temp,#16 b .LNEON_outer8 .align 4 .LNEON_outer8: vld1.32 {${Bi}[0]}, [$bptr,:32]! veor $zero,$zero,$zero vzip.16 $Bi,$zero vadd.u64 @ACC[0]#lo,@ACC[0]#lo,$temp vmlal.u32 @ACC[0],$Bi,${A0}[0] vmlal.u32 @ACC[1],$Bi,${A0}[1] vmlal.u32 @ACC[2],$Bi,${A1}[0] vshl.i64 $Ni,@ACC[0]#hi,#16 vmlal.u32 @ACC[3],$Bi,${A1}[1] vadd.u64 $Ni,$Ni,@ACC[0]#lo veor $zero,$zero,$zero subs $outer,$outer,#1 vmul.u32 $Ni,$Ni,$M0 vmlal.u32 @ACC[4],$Bi,${A2}[0] vmlal.u32 @ACC[5],$Bi,${A2}[1] vmlal.u32 @ACC[6],$Bi,${A3}[0] vzip.16 $Ni,$zero vmlal.u32 @ACC[7],$Bi,${A3}[1] vmlal.u32 @ACC[0],$Ni,${N0}[0] vmlal.u32 @ACC[1],$Ni,${N0}[1] vmlal.u32 @ACC[2],$Ni,${N1}[0] vmlal.u32 @ACC[3],$Ni,${N1}[1] vmlal.u32 @ACC[4],$Ni,${N2}[0] vmov $Temp,@ACC[0] vmlal.u32 @ACC[5],$Ni,${N2}[1] vmov @ACC[0],@ACC[1] vmlal.u32 @ACC[6],$Ni,${N3}[0] vmov @ACC[1],@ACC[2] vmlal.u32 @ACC[7],$Ni,${N3}[1] vmov @ACC[2],@ACC[3] vmov @ACC[3],@ACC[4] vshr.u64 $temp,$temp,#16 vmov @ACC[4],@ACC[5] vmov @ACC[5],@ACC[6] vadd.u64 $temp,$temp,$Temp#hi vmov @ACC[6],@ACC[7] veor @ACC[7],@ACC[7] vshr.u64 $temp,$temp,#16 bne .LNEON_outer8 vadd.u64 @ACC[0]#lo,@ACC[0]#lo,$temp mov $toutptr,sp vshr.u64 $temp,@ACC[0]#lo,#16 mov $inner,$num vadd.u64 @ACC[0]#hi,@ACC[0]#hi,$temp add $tinptr,sp,#96 vshr.u64 $temp,@ACC[0]#hi,#16 vzip.16 @ACC[0]#lo,@ACC[0]#hi b .LNEON_tail_entry .align 4 .LNEON_8n: veor @ACC[0],@ACC[0],@ACC[0] sub $toutptr,sp,#128 veor @ACC[1],@ACC[1],@ACC[1] sub $toutptr,$toutptr,$num,lsl#4 veor @ACC[2],@ACC[2],@ACC[2] and $toutptr,$toutptr,#-64 veor @ACC[3],@ACC[3],@ACC[3] mov sp,$toutptr @ alloca veor @ACC[4],@ACC[4],@ACC[4] add $toutptr,$toutptr,#256 veor @ACC[5],@ACC[5],@ACC[5] sub $inner,$num,#8 veor @ACC[6],@ACC[6],@ACC[6] veor @ACC[7],@ACC[7],@ACC[7] .LNEON_8n_init: vst1.64 {@ACC[0]-@ACC[1]},[$toutptr,:256]! subs $inner,$inner,#8 vst1.64 {@ACC[2]-@ACC[3]},[$toutptr,:256]! vst1.64 {@ACC[4]-@ACC[5]},[$toutptr,:256]! vst1.64 {@ACC[6]-@ACC[7]},[$toutptr,:256]! bne .LNEON_8n_init add $tinptr,sp,#256 vld1.32 {$A0-$A3},[$aptr]! add $bnptr,sp,#8 vld1.32 {${M0}[0]},[$n0,:32] mov $outer,$num b .LNEON_8n_outer .align 4 .LNEON_8n_outer: vld1.32 {${Bi}[0]},[$bptr,:32]! @ *b++ veor $zero,$zero,$zero vzip.16 $Bi,$zero add $toutptr,sp,#128 vld1.32 {$N0-$N3},[$nptr]! vmlal.u32 @ACC[0],$Bi,${A0}[0] vmlal.u32 @ACC[1],$Bi,${A0}[1] veor $zero,$zero,$zero vmlal.u32 @ACC[2],$Bi,${A1}[0] vshl.i64 $Ni,@ACC[0]#hi,#16 vmlal.u32 @ACC[3],$Bi,${A1}[1] vadd.u64 $Ni,$Ni,@ACC[0]#lo vmlal.u32 @ACC[4],$Bi,${A2}[0] vmul.u32 $Ni,$Ni,$M0 vmlal.u32 @ACC[5],$Bi,${A2}[1] vst1.32 {$Bi},[sp,:64] @ put aside smashed b[8*i+0] vmlal.u32 @ACC[6],$Bi,${A3}[0] vzip.16 $Ni,$zero vmlal.u32 @ACC[7],$Bi,${A3}[1] ___ for ($i=0; $i<7;) { $code.=<<___; vld1.32 {${Bi}[0]},[$bptr,:32]! @ *b++ vmlal.u32 @ACC[0],$Ni,${N0}[0] veor $temp,$temp,$temp vmlal.u32 @ACC[1],$Ni,${N0}[1] vzip.16 $Bi,$temp vmlal.u32 @ACC[2],$Ni,${N1}[0] vshr.u64 @ACC[0]#lo,@ACC[0]#lo,#16 vmlal.u32 @ACC[3],$Ni,${N1}[1] vmlal.u32 @ACC[4],$Ni,${N2}[0] vadd.u64 @ACC[0]#lo,@ACC[0]#lo,@ACC[0]#hi vmlal.u32 @ACC[5],$Ni,${N2}[1] vshr.u64 @ACC[0]#lo,@ACC[0]#lo,#16 vmlal.u32 @ACC[6],$Ni,${N3}[0] vmlal.u32 @ACC[7],$Ni,${N3}[1] vadd.u64 @ACC[1]#lo,@ACC[1]#lo,@ACC[0]#lo vst1.32 {$Ni},[$bnptr,:64]! @ put aside smashed m[8*i+$i] ___ push(@ACC,shift(@ACC)); $i++; $code.=<<___; vmlal.u32 @ACC[0],$Bi,${A0}[0] vld1.64 {@ACC[7]},[$tinptr,:128]! vmlal.u32 @ACC[1],$Bi,${A0}[1] veor $zero,$zero,$zero vmlal.u32 @ACC[2],$Bi,${A1}[0] vshl.i64 $Ni,@ACC[0]#hi,#16 vmlal.u32 @ACC[3],$Bi,${A1}[1] vadd.u64 $Ni,$Ni,@ACC[0]#lo vmlal.u32 @ACC[4],$Bi,${A2}[0] vmul.u32 $Ni,$Ni,$M0 vmlal.u32 @ACC[5],$Bi,${A2}[1] vst1.32 {$Bi},[$bnptr,:64]! @ put aside smashed b[8*i+$i] vmlal.u32 @ACC[6],$Bi,${A3}[0] vzip.16 $Ni,$zero vmlal.u32 @ACC[7],$Bi,${A3}[1] ___ } $code.=<<___; vld1.32 {$Bi},[sp,:64] @ pull smashed b[8*i+0] vmlal.u32 @ACC[0],$Ni,${N0}[0] vld1.32 {$A0-$A3},[$aptr]! vmlal.u32 @ACC[1],$Ni,${N0}[1] vmlal.u32 @ACC[2],$Ni,${N1}[0] vshr.u64 @ACC[0]#lo,@ACC[0]#lo,#16 vmlal.u32 @ACC[3],$Ni,${N1}[1] vmlal.u32 @ACC[4],$Ni,${N2}[0] vadd.u64 @ACC[0]#lo,@ACC[0]#lo,@ACC[0]#hi vmlal.u32 @ACC[5],$Ni,${N2}[1] vshr.u64 @ACC[0]#lo,@ACC[0]#lo,#16 vmlal.u32 @ACC[6],$Ni,${N3}[0] vmlal.u32 @ACC[7],$Ni,${N3}[1] vadd.u64 @ACC[1]#lo,@ACC[1]#lo,@ACC[0]#lo vst1.32 {$Ni},[$bnptr,:64] @ put aside smashed m[8*i+$i] add $bnptr,sp,#8 @ rewind ___ push(@ACC,shift(@ACC)); $code.=<<___; sub $inner,$num,#8 b .LNEON_8n_inner .align 4 .LNEON_8n_inner: subs $inner,$inner,#8 vmlal.u32 @ACC[0],$Bi,${A0}[0] vld1.64 {@ACC[7]},[$tinptr,:128] vmlal.u32 @ACC[1],$Bi,${A0}[1] vld1.32 {$Ni},[$bnptr,:64]! @ pull smashed m[8*i+0] vmlal.u32 @ACC[2],$Bi,${A1}[0] vld1.32 {$N0-$N3},[$nptr]! vmlal.u32 @ACC[3],$Bi,${A1}[1] it ne addne $tinptr,$tinptr,#16 @ don't advance in last iteration vmlal.u32 @ACC[4],$Bi,${A2}[0] vmlal.u32 @ACC[5],$Bi,${A2}[1] vmlal.u32 @ACC[6],$Bi,${A3}[0] vmlal.u32 @ACC[7],$Bi,${A3}[1] ___ for ($i=1; $i<8; $i++) { $code.=<<___; vld1.32 {$Bi},[$bnptr,:64]! @ pull smashed b[8*i+$i] vmlal.u32 @ACC[0],$Ni,${N0}[0] vmlal.u32 @ACC[1],$Ni,${N0}[1] vmlal.u32 @ACC[2],$Ni,${N1}[0] vmlal.u32 @ACC[3],$Ni,${N1}[1] vmlal.u32 @ACC[4],$Ni,${N2}[0] vmlal.u32 @ACC[5],$Ni,${N2}[1] vmlal.u32 @ACC[6],$Ni,${N3}[0] vmlal.u32 @ACC[7],$Ni,${N3}[1] vst1.64 {@ACC[0]},[$toutptr,:128]! ___ push(@ACC,shift(@ACC)); $code.=<<___; vmlal.u32 @ACC[0],$Bi,${A0}[0] vld1.64 {@ACC[7]},[$tinptr,:128] vmlal.u32 @ACC[1],$Bi,${A0}[1] vld1.32 {$Ni},[$bnptr,:64]! @ pull smashed m[8*i+$i] vmlal.u32 @ACC[2],$Bi,${A1}[0] it ne addne $tinptr,$tinptr,#16 @ don't advance in last iteration vmlal.u32 @ACC[3],$Bi,${A1}[1] vmlal.u32 @ACC[4],$Bi,${A2}[0] vmlal.u32 @ACC[5],$Bi,${A2}[1] vmlal.u32 @ACC[6],$Bi,${A3}[0] vmlal.u32 @ACC[7],$Bi,${A3}[1] ___ } $code.=<<___; it eq subeq $aptr,$aptr,$num,lsl#2 @ rewind vmlal.u32 @ACC[0],$Ni,${N0}[0] vld1.32 {$Bi},[sp,:64] @ pull smashed b[8*i+0] vmlal.u32 @ACC[1],$Ni,${N0}[1] vld1.32 {$A0-$A3},[$aptr]! vmlal.u32 @ACC[2],$Ni,${N1}[0] add $bnptr,sp,#8 @ rewind vmlal.u32 @ACC[3],$Ni,${N1}[1] vmlal.u32 @ACC[4],$Ni,${N2}[0] vmlal.u32 @ACC[5],$Ni,${N2}[1] vmlal.u32 @ACC[6],$Ni,${N3}[0] vst1.64 {@ACC[0]},[$toutptr,:128]! vmlal.u32 @ACC[7],$Ni,${N3}[1] bne .LNEON_8n_inner ___ push(@ACC,shift(@ACC)); $code.=<<___; add $tinptr,sp,#128 vst1.64 {@ACC[0]-@ACC[1]},[$toutptr,:256]! veor q2,q2,q2 @ $N0-$N1 vst1.64 {@ACC[2]-@ACC[3]},[$toutptr,:256]! veor q3,q3,q3 @ $N2-$N3 vst1.64 {@ACC[4]-@ACC[5]},[$toutptr,:256]! vst1.64 {@ACC[6]},[$toutptr,:128] subs $outer,$outer,#8 vld1.64 {@ACC[0]-@ACC[1]},[$tinptr,:256]! vld1.64 {@ACC[2]-@ACC[3]},[$tinptr,:256]! vld1.64 {@ACC[4]-@ACC[5]},[$tinptr,:256]! vld1.64 {@ACC[6]-@ACC[7]},[$tinptr,:256]! itt ne subne $nptr,$nptr,$num,lsl#2 @ rewind bne .LNEON_8n_outer add $toutptr,sp,#128 vst1.64 {q2-q3}, [sp,:256]! @ start wiping stack frame vshr.u64 $temp,@ACC[0]#lo,#16 vst1.64 {q2-q3},[sp,:256]! vadd.u64 @ACC[0]#hi,@ACC[0]#hi,$temp vst1.64 {q2-q3}, [sp,:256]! vshr.u64 $temp,@ACC[0]#hi,#16 vst1.64 {q2-q3}, [sp,:256]! vzip.16 @ACC[0]#lo,@ACC[0]#hi mov $inner,$num b .LNEON_tail_entry .align 4 .LNEON_tail: vadd.u64 @ACC[0]#lo,@ACC[0]#lo,$temp vshr.u64 $temp,@ACC[0]#lo,#16 vld1.64 {@ACC[2]-@ACC[3]}, [$tinptr, :256]! vadd.u64 @ACC[0]#hi,@ACC[0]#hi,$temp vld1.64 {@ACC[4]-@ACC[5]}, [$tinptr, :256]! vshr.u64 $temp,@ACC[0]#hi,#16 vld1.64 {@ACC[6]-@ACC[7]}, [$tinptr, :256]! vzip.16 @ACC[0]#lo,@ACC[0]#hi .LNEON_tail_entry: ___ for ($i=1; $i<8; $i++) { $code.=<<___; vadd.u64 @ACC[1]#lo,@ACC[1]#lo,$temp vst1.32 {@ACC[0]#lo[0]}, [$toutptr, :32]! vshr.u64 $temp,@ACC[1]#lo,#16 vadd.u64 @ACC[1]#hi,@ACC[1]#hi,$temp vshr.u64 $temp,@ACC[1]#hi,#16 vzip.16 @ACC[1]#lo,@ACC[1]#hi ___ push(@ACC,shift(@ACC)); } push(@ACC,shift(@ACC)); $code.=<<___; vld1.64 {@ACC[0]-@ACC[1]}, [$tinptr, :256]! subs $inner,$inner,#8 vst1.32 {@ACC[7]#lo[0]}, [$toutptr, :32]! bne .LNEON_tail vst1.32 {${temp}[0]}, [$toutptr, :32] @ top-most bit sub $nptr,$nptr,$num,lsl#2 @ rewind $nptr subs $aptr,sp,#0 @ clear carry flag add $bptr,sp,$num,lsl#2 .LNEON_sub: ldmia $aptr!, {r4-r7} ldmia $nptr!, {r8-r11} sbcs r8, r4,r8 sbcs r9, r5,r9 sbcs r10,r6,r10 sbcs r11,r7,r11 teq $aptr,$bptr @ preserves carry stmia $rptr!, {r8-r11} bne .LNEON_sub ldr r10, [$aptr] @ load top-most bit mov r11,sp veor q0,q0,q0 sub r11,$bptr,r11 @ this is num*4 veor q1,q1,q1 mov $aptr,sp sub $rptr,$rptr,r11 @ rewind $rptr mov $nptr,$bptr @ second 3/4th of frame sbcs r10,r10,#0 @ result is carry flag .LNEON_copy_n_zap: ldmia $aptr!, {r4-r7} ldmia $rptr, {r8-r11} it cc movcc r8, r4 vst1.64 {q0-q1}, [$nptr,:256]! @ wipe itt cc movcc r9, r5 movcc r10,r6 vst1.64 {q0-q1}, [$nptr,:256]! @ wipe it cc movcc r11,r7 ldmia $aptr, {r4-r7} stmia $rptr!, {r8-r11} sub $aptr,$aptr,#16 ldmia $rptr, {r8-r11} it cc movcc r8, r4 vst1.64 {q0-q1}, [$aptr,:256]! @ wipe itt cc movcc r9, r5 movcc r10,r6 vst1.64 {q0-q1}, [$nptr,:256]! @ wipe it cc movcc r11,r7 teq $aptr,$bptr @ preserves carry stmia $rptr!, {r8-r11} bne .LNEON_copy_n_zap mov sp,ip vldmia sp!,{d8-d15} ldmia sp!,{r4-r11} ret @ bx lr .size bn_mul8x_mont_neon,.-bn_mul8x_mont_neon #endif ___ } $code.=<<___; .asciz "Montgomery multiplication for ARMv4/NEON, CRYPTOGAMS by " ___ foreach (split("\n",$code)) { s/\`([^\`]*)\`/eval $1/ge; s/\bq([0-9]+)#(lo|hi)/sprintf "d%d",2*$1+($2 eq "hi")/ge or s/\bret\b/bx lr/g or s/\bbx\s+lr\b/.word\t0xe12fff1e/g; # make it possible to compile with -march=armv4 print $_,"\n"; } close STDOUT or die "error closing STDOUT: $!";