|  | #! /usr/bin/env perl | 
|  | # Copyright 2007-2016 The OpenSSL Project Authors. All Rights Reserved. | 
|  | # | 
|  | # Licensed under the Apache License, Version 2.0 (the "License"); | 
|  | # you may not use this file except in compliance with the License. | 
|  | # You may obtain a copy of the License at | 
|  | # | 
|  | #     https://www.apache.org/licenses/LICENSE-2.0 | 
|  | # | 
|  | # Unless required by applicable law or agreed to in writing, software | 
|  | # distributed under the License is distributed on an "AS IS" BASIS, | 
|  | # WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | 
|  | # See the License for the specific language governing permissions and | 
|  | # limitations under the License. | 
|  |  | 
|  |  | 
|  | # ==================================================================== | 
|  | # Written by Andy Polyakov <appro@openssl.org> for the OpenSSL | 
|  | # project. | 
|  | # ==================================================================== | 
|  |  | 
|  | # 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=<<___; | 
|  | @ 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 | 
|  |  | 
|  | .global	bn_mul_mont_nohw | 
|  | .type	bn_mul_mont_nohw,%function | 
|  |  | 
|  | .align	5 | 
|  | bn_mul_mont_nohw: | 
|  | ldr	ip,[sp,#4]		@ load num | 
|  | stmdb	sp!,{r0,r2}		@ sp points at argument block | 
|  | @ No return value. Instead, the caller must ensure num >= 2 | 
|  | mov	$num,ip			@ load num | 
|  | @ No return value | 
|  |  | 
|  | 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,$num | 
|  | add	sp,sp,#4		@ skip over tp[num+1] | 
|  | ldmia	sp!,{r4-r12,lr}		@ restore registers | 
|  | add	sp,sp,#2*4		@ skip over {r0,r2} | 
|  | @ No return value | 
|  | #if __ARM_ARCH>=5 | 
|  | ret				@ bx lr | 
|  | #else | 
|  | tst	lr,#1 | 
|  | moveq	pc,lr			@ be binary compatible with V4, yet | 
|  | bx	lr			@ interoperable with Thumb ISA:-) | 
|  | #endif | 
|  | .size	bn_mul_mont_nohw,.-bn_mul_mont_nohw | 
|  | ___ | 
|  | { | 
|  | my ($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 | 
|  |  | 
|  | .global	bn_mul8x_mont_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} | 
|  | @ No return value | 
|  | ret						@ bx lr | 
|  | .size	bn_mul8x_mont_neon,.-bn_mul8x_mont_neon | 
|  | #endif | 
|  | ___ | 
|  | } | 
|  | $code.=<<___; | 
|  | .asciz	"Montgomery multiplication for ARMv4/NEON, CRYPTOGAMS by <appro\@openssl.org>" | 
|  | ___ | 
|  |  | 
|  | foreach (split("\n",$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: $!"; |