From f8cee9d08181f9e966ef01d3b69ba78b6cb7c8a8 Mon Sep 17 00:00:00 2001 From: Andy Polyakov Date: Thu, 24 Apr 2014 10:16:58 +0200 Subject: [PATCH] bn/asm/armv4-gf2m.pl, modes/asm/ghash-armv4.pl: faster multiplication algorithm suggested in following paper: MIME-Version: 1.0 Content-Type: text/plain; charset=utf8 Content-Transfer-Encoding: 8bit Câmara, D.; Gouvêa, C. P. L.; López, J. & Dahab, R.: Fast Software Polynomial Multiplication on ARM Processors using the NEON Engine. http://conradoplg.cryptoland.net/files/2010/12/mocrysen13.pdf --- crypto/bn/asm/armv4-gf2m.pl | 138 +++++++++---------- crypto/modes/asm/ghash-armv4.pl | 226 ++++++++++++++++++++------------ crypto/modes/gcm128.c | 2 + 3 files changed, 216 insertions(+), 150 deletions(-) diff --git a/crypto/bn/asm/armv4-gf2m.pl b/crypto/bn/asm/armv4-gf2m.pl index c52e0b75b5..c66495040c 100644 --- a/crypto/bn/asm/armv4-gf2m.pl +++ b/crypto/bn/asm/armv4-gf2m.pl @@ -20,14 +20,21 @@ # length, more for longer keys. Even though NEON 1x1 multiplication # runs in even less cycles, ~30, improvement is measurable only on # longer keys. One has to optimize code elsewhere to get NEON glow... +# +# April 2014 +# +# Double bn_GF2m_mul_2x2 performance by using algorithm from paper +# referred below, which improves ECDH and ECDSA verify benchmarks +# by 18-40%. +# +# Câmara, D.; Gouvêa, C. P. L.; López, J. & Dahab, R.: Fast Software +# Polynomial Multiplication on ARM Processors using the NEON Engine. +# +# http://conradoplg.cryptoland.net/files/2010/12/mocrysen13.pdf while (($output=shift) && ($output!~/^\w[\w\-]*\.\w+$/)) {} open STDOUT,">$output"; -sub Dlo() { shift=~m|q([1]?[0-9])|?"d".($1*2):""; } -sub Dhi() { shift=~m|q([1]?[0-9])|?"d".($1*2+1):""; } -sub Q() { shift=~m|d([1-3]?[02468])|?"q".($1/2):""; } - $code=<<___; #include "arm_arch.h" @@ -36,31 +43,6 @@ $code=<<___; #if __ARM_ARCH__>=7 .fpu neon - -.type mul_1x1_neon,%function -.align 5 -mul_1x1_neon: - vshl.u64 `&Dlo("q1")`,d16,#8 @ q1-q3 are slided $a - vmull.p8 `&Q("d0")`,d16,d17 @ a·bb - vshl.u64 `&Dlo("q2")`,d16,#16 - vmull.p8 q1,`&Dlo("q1")`,d17 @ a<<8·bb - vshl.u64 `&Dlo("q3")`,d16,#24 - vmull.p8 q2,`&Dlo("q2")`,d17 @ a<<16·bb - vshr.u64 `&Dlo("q1")`,#8 - vmull.p8 q3,`&Dlo("q3")`,d17 @ a<<24·bb - vshl.u64 `&Dhi("q1")`,#24 - veor d0,`&Dlo("q1")` - vshr.u64 `&Dlo("q2")`,#16 - veor d0,`&Dhi("q1")` - vshl.u64 `&Dhi("q2")`,#16 - veor d0,`&Dlo("q2")` - vshr.u64 `&Dlo("q3")`,#24 - veor d0,`&Dhi("q2")` - vshl.u64 `&Dhi("q3")`,#8 - veor d0,`&Dlo("q3")` - veor d0,`&Dhi("q3")` - bx lr -.size mul_1x1_neon,.-mul_1x1_neon #endif ___ ################ @@ -159,8 +141,9 @@ ___ # void bn_GF2m_mul_2x2(BN_ULONG *r, # BN_ULONG a1,BN_ULONG a0, # BN_ULONG b1,BN_ULONG b0); # r[3..0]=a1a0·b1b0 - -($A1,$B1,$A0,$B0,$A1B1,$A0B0)=map("d$_",(18..23)); +{ +my ($r,$t0,$t1,$t2,$t3)=map("q$_",(0..3,8..12)); +my ($a,$b,$k48,$k32,$k16)=map("d$_",(26..31)); $code.=<<___; .global bn_GF2m_mul_2x2 @@ -173,44 +156,58 @@ bn_GF2m_mul_2x2: tst r12,#1 beq .Lialu - veor $A1,$A1 - vmov.32 $B1,r3,r3 @ two copies of b1 - vmov.32 ${A1}[0],r1 @ a1 - - veor $A0,$A0 - vld1.32 ${B0}[],[sp,:32] @ two copies of b0 - vmov.32 ${A0}[0],r2 @ a0 - mov r12,lr - - vmov d16,$A1 - vmov d17,$B1 - bl mul_1x1_neon @ a1·b1 - vmov $A1B1,d0 - - vmov d16,$A0 - vmov d17,$B0 - bl mul_1x1_neon @ a0·b0 - vmov $A0B0,d0 - - veor d16,$A0,$A1 - veor d17,$B0,$B1 - veor $A0,$A0B0,$A1B1 - bl mul_1x1_neon @ (a0+a1)·(b0+b1) - - veor d0,$A0 @ (a0+a1)·(b0+b1)-a0·b0-a1·b1 - vshl.u64 d1,d0,#32 - vshr.u64 d0,d0,#32 - veor $A0B0,d1 - veor $A1B1,d0 - vst1.32 {${A0B0}[0]},[r0,:32]! - vst1.32 {${A0B0}[1]},[r0,:32]! - vst1.32 {${A1B1}[0]},[r0,:32]! - vst1.32 {${A1B1}[1]},[r0,:32] - bx r12 + ldr r12, [sp] @ 5th argument + vmov.32 $a, r2, r1 + vmov.32 $b, r12, r3 + vmov.i64 $k48, #0x0000ffffffffffff + vmov.i64 $k32, #0x00000000ffffffff + vmov.i64 $k16, #0x000000000000ffff + + vext.8 $t0#lo, $a, $a, #1 @ A1 + vmull.p8 $t0, $t0#lo, $b @ F = A1*B + vext.8 $r#lo, $b, $b, #1 @ B1 + vmull.p8 $r, $a, $r#lo @ E = A*B1 + vext.8 $t1#lo, $a, $a, #2 @ A2 + vmull.p8 $t1, $t1#lo, $b @ H = A2*B + vext.8 $t3#lo, $b, $b, #2 @ B2 + vmull.p8 $t3, $a, $t3#lo @ G = A*B2 + vext.8 $t2#lo, $a, $a, #3 @ A3 + veor $t0, $t0, $r @ L = E + F + vmull.p8 $t2, $t2#lo, $b @ J = A3*B + vext.8 $r#lo, $b, $b, #3 @ B3 + veor $t1, $t1, $t3 @ M = G + H + vmull.p8 $r, $a, $r#lo @ I = A*B3 + veor $t0#lo, $t0#lo, $t0#hi @ t0 = (L) (P0 + P1) << 8 + vand $t0#hi, $t0#hi, $k48 + vext.8 $t3#lo, $b, $b, #4 @ B4 + veor $t1#lo, $t1#lo, $t1#hi @ t1 = (M) (P2 + P3) << 16 + vand $t1#hi, $t1#hi, $k32 + vmull.p8 $t3, $a, $t3#lo @ K = A*B4 + veor $t2, $t2, $r @ N = I + J + veor $t0#lo, $t0#lo, $t0#hi + veor $t1#lo, $t1#lo, $t1#hi + veor $t2#lo, $t2#lo, $t2#hi @ t2 = (N) (P4 + P5) << 24 + vand $t2#hi, $t2#hi, $k16 + vext.8 $t0, $t0, $t0, #15 + veor $t3#lo, $t3#lo, $t3#hi @ t3 = (K) (P6 + P7) << 32 + vmov.i64 $t3#hi, #0 + vext.8 $t1, $t1, $t1, #14 + veor $t2#lo, $t2#lo, $t2#hi + vmull.p8 $r, $a, $b @ D = A*B + vext.8 $t3, $t3, $t3, #12 + vext.8 $t2, $t2, $t2, #13 + veor $t0, $t0, $t1 + veor $t2, $t2, $t3 + veor $r, $r, $t0 + veor $r, $r, $t2 + + vst1.32 {$r}, [r0] + bx lr .align 4 .Lialu: #endif ___ +} $ret="r10"; # reassigned 1st argument $code.=<<___; stmdb sp!,{r4-r10,lr} @@ -272,7 +269,12 @@ $code.=<<___; .comm OPENSSL_armcap_P,4,4 ___ -$code =~ s/\`([^\`]*)\`/eval $1/gem; -$code =~ s/\bbx\s+lr\b/.word\t0xe12fff1e/gm; # make it possible to compile with -march=armv4 -print $code; +foreach (split("\n",$code)) { + s/\`([^\`]*)\`/eval $1/geo; + + s/\bq([0-9]+)#(lo|hi)/sprintf "d%d",2*$1+($2 eq "hi")/geo or + s/\bbx\s+lr\b/.word\t0xe12fff1e/go; # make it possible to compile with -march=armv4 + + print $_,"\n"; +} close STDOUT; # enforce flush diff --git a/crypto/modes/asm/ghash-armv4.pl b/crypto/modes/asm/ghash-armv4.pl index d91586ee29..0b0dcc8a68 100644 --- a/crypto/modes/asm/ghash-armv4.pl +++ b/crypto/modes/asm/ghash-armv4.pl @@ -35,6 +35,20 @@ # Add NEON implementation featuring polynomial multiplication, i.e. no # lookup tables involved. On Cortex A8 it was measured to process one # byte in 15 cycles or 55% faster than integer-only code. +# +# April 2014 +# +# Switch to multiplication algorithm suggested in paper referred +# below and combine it with reduction algorithm from x86 module. +# Performance improvement over previous version varies from 65% on +# Snapdragon S4 to 110% on Cortex A9. In absolute terms Cortex A8 +# processes one byte in 8.45 cycles, A9 - in 10.2, Snapdragon S4 - +# in 9.33. +# +# Câmara, D.; Gouvêa, C. P. L.; López, J. & Dahab, R.: Fast Software +# Polynomial Multiplication on ARM Processors using the NEON Engine. +# +# http://conradoplg.cryptoland.net/files/2010/12/mocrysen13.pdf # ==================================================================== # Note about "528B" variant. In ARM case it makes lesser sense to @@ -303,115 +317,158 @@ $code.=<<___; .size gcm_gmult_4bit,.-gcm_gmult_4bit ___ { -my $cnt=$Htbl; # $Htbl is used once in the very beginning +my ($Xl,$Xm,$Xh,$IN)=map("q$_",(0..3)); +my ($t0,$t1,$t2,$t3)=map("q$_",(8..12)); +my ($Hlo,$Hhi,$Hhl,$k48,$k32,$k16)=map("d$_",(26..31)); -my ($Hhi, $Hlo, $Zo, $T, $xi, $mod) = map("d$_",(0..7)); -my ($Qhi, $Qlo, $Z, $R, $zero, $Qpost, $IN) = map("q$_",(8..15)); - -# Z:Zo keeps 128-bit result shifted by 1 to the right, with bottom bit -# in Zo. Or should I say "top bit", because GHASH is specified in -# reverse bit order? Otherwise straightforward 128-bt H by one input -# byte multiplication and modulo-reduction, times 16. - -sub Dlo() { shift=~m|q([1]?[0-9])|?"d".($1*2):""; } -sub Dhi() { shift=~m|q([1]?[0-9])|?"d".($1*2+1):""; } -sub Q() { shift=~m|d([1-3]?[02468])|?"q".($1/2):""; } +sub clmul64x64 { +my ($r,$a,$b)=@_; +$code.=<<___; + vext.8 $t0#lo, $a, $a, #1 @ A1 + vmull.p8 $t0, $t0#lo, $b @ F = A1*B + vext.8 $r#lo, $b, $b, #1 @ B1 + vmull.p8 $r, $a, $r#lo @ E = A*B1 + vext.8 $t1#lo, $a, $a, #2 @ A2 + vmull.p8 $t1, $t1#lo, $b @ H = A2*B + vext.8 $t3#lo, $b, $b, #2 @ B2 + vmull.p8 $t3, $a, $t3#lo @ G = A*B2 + vext.8 $t2#lo, $a, $a, #3 @ A3 + veor $t0, $t0, $r @ L = E + F + vmull.p8 $t2, $t2#lo, $b @ J = A3*B + vext.8 $r#lo, $b, $b, #3 @ B3 + veor $t1, $t1, $t3 @ M = G + H + vmull.p8 $r, $a, $r#lo @ I = A*B3 + veor $t0#lo, $t0#lo, $t0#hi @ t0 = (L) (P0 + P1) << 8 + vand $t0#hi, $t0#hi, $k48 + vext.8 $t3#lo, $b, $b, #4 @ B4 + veor $t1#lo, $t1#lo, $t1#hi @ t1 = (M) (P2 + P3) << 16 + vand $t1#hi, $t1#hi, $k32 + vmull.p8 $t3, $a, $t3#lo @ K = A*B4 + veor $t2, $t2, $r @ N = I + J + veor $t0#lo, $t0#lo, $t0#hi + veor $t1#lo, $t1#lo, $t1#hi + veor $t2#lo, $t2#lo, $t2#hi @ t2 = (N) (P4 + P5) << 24 + vand $t2#hi, $t2#hi, $k16 + vext.8 $t0, $t0, $t0, #15 + veor $t3#lo, $t3#lo, $t3#hi @ t3 = (K) (P6 + P7) << 32 + vmov.i64 $t3#hi, #0 + vext.8 $t1, $t1, $t1, #14 + veor $t2#lo, $t2#lo, $t2#hi + vmull.p8 $r, $a, $b @ D = A*B + vext.8 $t3, $t3, $t3, #12 + vext.8 $t2, $t2, $t2, #13 + veor $t0, $t0, $t1 + veor $t2, $t2, $t3 + veor $r, $r, $t0 + veor $r, $r, $t2 +___ +} $code.=<<___; #if __ARM_ARCH__>=7 .fpu neon +.global gcm_init_neon +.type gcm_init_neon,%function +.align 4 +gcm_init_neon: + vld1.64 $IN#hi,[r1,:64]! @ load H + vmov.i8 $t0,#0xe1 + vld1.64 $IN#lo,[r1,:64] + vshl.i64 $t0#hi,#57 + vshr.u64 $t0#lo,#63 @ t0=0xc2....01 + vdup.8 $t1,$IN#hi[7] + vshr.u64 $Hlo,$IN#lo,#63 + vshr.s8 $t1,#7 @ broadcast carry bit + vshl.i64 $IN,$IN,#1 + vand $t0,$t0,$t1 + vorr $IN#hi,$Hlo @ H<<<=1 + veor $IN,$IN,$t0 @ twisted H + vstmia r0,{$IN} + + bx lr +.size gcm_init_neon,.-gcm_init_neon + .global gcm_gmult_neon .type gcm_gmult_neon,%function .align 4 gcm_gmult_neon: - sub $Htbl,#16 @ point at H in GCM128_CTX - vld1.64 `&Dhi("$IN")`,[$Xi,:64]!@ load Xi - vmov.i32 $mod,#0xe1 @ our irreducible polynomial - vld1.64 `&Dlo("$IN")`,[$Xi,:64]! - vshr.u64 $mod,#32 - vldmia $Htbl,{$Hhi-$Hlo} @ load H - veor $zero,$zero + vld1.64 $IN#hi,[$Xi,:64]! @ load Xi + vld1.64 $IN#lo,[$Xi,:64]! + vmov.i64 $k48,#0x0000ffffffffffff + vldmia $Htbl,{$Hlo-$Hhi} @ load twisted H + vmov.i64 $k32,#0x00000000ffffffff #ifdef __ARMEL__ vrev64.8 $IN,$IN #endif - veor $Qpost,$Qpost - veor $R,$R - mov $cnt,#16 - veor $Z,$Z + vmov.i64 $k16,#0x000000000000ffff + veor $Hhl,$Hlo,$Hhi @ Karatsuba pre-processing mov $len,#16 - veor $Zo,$Zo - vdup.8 $xi,`&Dlo("$IN")`[0] @ broadcast lowest byte - b .Linner_neon + b .Lgmult_neon .size gcm_gmult_neon,.-gcm_gmult_neon .global gcm_ghash_neon .type gcm_ghash_neon,%function .align 4 gcm_ghash_neon: - vld1.64 `&Dhi("$Z")`,[$Xi,:64]! @ load Xi - vmov.i32 $mod,#0xe1 @ our irreducible polynomial - vld1.64 `&Dlo("$Z")`,[$Xi,:64]! - vshr.u64 $mod,#32 - vldmia $Xi,{$Hhi-$Hlo} @ load H - veor $zero,$zero - nop + vld1.64 $Xl#hi,[$Xi,:64]! @ load Xi + vld1.64 $Xl#lo,[$Xi,:64]! + vmov.i64 $k48,#0x0000ffffffffffff + vldmia $Htbl,{$Hlo-$Hhi} @ load twisted H + vmov.i64 $k32,#0x00000000ffffffff #ifdef __ARMEL__ - vrev64.8 $Z,$Z + vrev64.8 $Xl,$Xl #endif -.Louter_neon: - vld1.64 `&Dhi($IN)`,[$inp]! @ load inp - veor $Qpost,$Qpost - vld1.64 `&Dlo($IN)`,[$inp]! - veor $R,$R - mov $cnt,#16 + vmov.i64 $k16,#0x000000000000ffff + veor $Hhl,$Hlo,$Hhi @ Karatsuba pre-processing + +.Loop_neon: + vld1.64 $IN#hi,[$inp]! @ load inp + vld1.64 $IN#lo,[$inp]! #ifdef __ARMEL__ vrev64.8 $IN,$IN #endif - veor $Zo,$Zo - veor $IN,$Z @ inp^=Xi - veor $Z,$Z - vdup.8 $xi,`&Dlo("$IN")`[0] @ broadcast lowest byte -.Linner_neon: - subs $cnt,$cnt,#1 - vmull.p8 $Qlo,$Hlo,$xi @ H.lo·Xi[i] - vmull.p8 $Qhi,$Hhi,$xi @ H.hi·Xi[i] - vext.8 $IN,$zero,#1 @ IN>>=8 - - veor $Z,$Qpost @ modulo-scheduled part - vshl.i64 `&Dlo("$R")`,#48 - vdup.8 $xi,`&Dlo("$IN")`[0] @ broadcast lowest byte - veor $T,`&Dlo("$Qlo")`,`&Dlo("$Z")` - - veor `&Dhi("$Z")`,`&Dlo("$R")` - vuzp.8 $Qlo,$Qhi - vsli.8 $Zo,$T,#1 @ compose the "carry" byte - vext.8 $Z,$zero,#1 @ Z>>=8 - - vmull.p8 $R,$Zo,$mod @ "carry"·0xe1 - vshr.u8 $Zo,$T,#7 @ save Z's bottom bit - vext.8 $Qpost,$Qlo,$zero,#1 @ Qlo>>=8 - veor $Z,$Qhi - bne .Linner_neon - - veor $Z,$Qpost @ modulo-scheduled artefact - vshl.i64 `&Dlo("$R")`,#48 - veor `&Dhi("$Z")`,`&Dlo("$R")` - - @ finalization, normalize Z:Zo - vand $Zo,$mod @ suffices to mask the bit - vshr.u64 `&Dhi(&Q("$Zo"))`,`&Dlo("$Z")`,#63 - vshl.i64 $Z,#1 + veor $IN,$Xl @ inp^=Xi +.Lgmult_neon: +___ + &clmul64x64 ($Xl,$Hlo,"$IN#lo"); # H.lo·Xi.lo +$code.=<<___; + veor $IN#lo,$IN#lo,$IN#hi @ Karatsuba pre-processing +___ + &clmul64x64 ($Xm,$Hhl,"$IN#lo"); # (H.lo+H.hi)·(Xi.lo+Xi.hi) + &clmul64x64 ($Xh,$Hhi,"$IN#hi"); # H.hi·Xi.hi +$code.=<<___; + veor $Xm,$Xm,$Xl @ Karatsuba post-processing + veor $Xm,$Xm,$Xh + veor $Xl#hi,$Xl#hi,$Xm#lo + veor $Xh#lo,$Xh#lo,$Xm#hi @ Xh|Xl - 256-bit result + + @ equivalent of reduction_avx from ghash-x86_64.pl + vshl.i64 $t1,$Xl,#57 @ 1st phase + vshl.i64 $t2,$Xl,#62 + veor $t2,$t2,$t1 @ + vshl.i64 $t1,$Xl,#63 + veor $t2, $t2, $t1 @ + veor $Xl#hi,$Xl#hi,$t2#lo @ + veor $Xh#lo,$Xh#lo,$t2#hi + + vshr.u64 $t2,$Xl,#1 @ 2nd phase + veor $Xh,$Xh,$Xl + veor $Xl,$Xl,$t2 @ + vshr.u64 $t2,$t2,#6 + vshr.u64 $Xl,$Xl,#1 @ + veor $Xl,$Xl,$Xh @ + veor $Xl,$Xl,$t2 @ + subs $len,#16 - vorr $Z,`&Q("$Zo")` @ Z=Z:Zo<<1 - bne .Louter_neon + bne .Loop_neon #ifdef __ARMEL__ - vrev64.8 $Z,$Z + vrev64.8 $Xl,$Xl #endif sub $Xi,#16 - vst1.64 `&Dhi("$Z")`,[$Xi,:64]! @ write out Xi - vst1.64 `&Dlo("$Z")`,[$Xi,:64] + vst1.64 $Xl#hi,[$Xi,:64]! @ write out Xi + vst1.64 $Xl#lo,[$Xi,:64] bx lr .size gcm_ghash_neon,.-gcm_ghash_neon @@ -423,7 +480,12 @@ $code.=<<___; .align 2 ___ -$code =~ s/\`([^\`]*)\`/eval $1/gem; -$code =~ s/\bbx\s+lr\b/.word\t0xe12fff1e/gm; # make it possible to compile with -march=armv4 -print $code; +foreach (split("\n",$code)) { + s/\`([^\`]*)\`/eval $1/geo; + + s/\bq([0-9]+)#(lo|hi)/sprintf "d%d",2*$1+($2 eq "hi")/geo or + s/\bbx\s+lr\b/.word\t0xe12fff1e/go; # make it possible to compile with -march=armv4 + + print $_,"\n"; +} close STDOUT; # enforce flush diff --git a/crypto/modes/gcm128.c b/crypto/modes/gcm128.c index 253746c569..9afef1cf4e 100644 --- a/crypto/modes/gcm128.c +++ b/crypto/modes/gcm128.c @@ -681,6 +681,7 @@ void gcm_ghash_4bit_x86(u64 Xi[2],const u128 Htable[16],const u8 *inp,size_t len # if __ARM_ARCH__>=7 # define GHASH_ASM_ARM # define GCM_FUNCREF_4BIT +void gcm_init_neon(u128 Htable[16],const u64 Xi[2]); void gcm_gmult_neon(u64 Xi[2],const u128 Htable[16]); void gcm_ghash_neon(u64 Xi[2],const u128 Htable[16],const u8 *inp,size_t len); # endif @@ -767,6 +768,7 @@ void CRYPTO_gcm128_init(GCM128_CONTEXT *ctx,void *key,block128_f block) # endif # elif defined(GHASH_ASM_ARM) if (OPENSSL_armcap_P & ARMV7_NEON) { + gcm_init_neon(ctx->Htable,ctx->H.u); ctx->gmult = gcm_gmult_neon; ctx->ghash = gcm_ghash_neon; } else { -- 2.25.1