#!/usr/bin/env perl # # ==================================================================== # Written by Andy Polyakov <appro@openssl.org> 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/. # ==================================================================== # # May 2011 # # The module implements bn_GF2m_mul_2x2 polynomial multiplication # used in bn_gf2m.c. It's kind of low-hanging mechanical port from # C for the time being... Except that it has two code paths: pure # integer code suitable for any ARMv4 and later CPU and NEON code # suitable for ARMv7. Pure integer 1x1 multiplication subroutine runs # in ~45 cycles on dual-issue core such as Cortex A8, which is ~50% # faster than compiler-generated code. For ECDH and ECDSA verify (but # not for ECDSA sign) it means 25%-45% improvement depending on key # 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... 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" .text .code 32 #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 ___ ################ # private interface to mul_1x1_ialu # $a="r1"; $b="r0"; ($a0,$a1,$a2,$a12,$a4,$a14)= ($hi,$lo,$t0,$t1, $i0,$i1 )=map("r$_",(4..9),12); $mask="r12"; $code.=<<___; .type mul_1x1_ialu,%function .align 5 mul_1x1_ialu: mov $a0,#0 bic $a1,$a,#3<<30 @ a1=a&0x3fffffff str $a0,[sp,#0] @ tab[0]=0 add $a2,$a1,$a1 @ a2=a1<<1 str $a1,[sp,#4] @ tab[1]=a1 eor $a12,$a1,$a2 @ a1^a2 str $a2,[sp,#8] @ tab[2]=a2 mov $a4,$a1,lsl#2 @ a4=a1<<2 str $a12,[sp,#12] @ tab[3]=a1^a2 eor $a14,$a1,$a4 @ a1^a4 str $a4,[sp,#16] @ tab[4]=a4 eor $a0,$a2,$a4 @ a2^a4 str $a14,[sp,#20] @ tab[5]=a1^a4 eor $a12,$a12,$a4 @ a1^a2^a4 str $a0,[sp,#24] @ tab[6]=a2^a4 and $i0,$mask,$b,lsl#2 str $a12,[sp,#28] @ tab[7]=a1^a2^a4 and $i1,$mask,$b,lsr#1 ldr $lo,[sp,$i0] @ tab[b & 0x7] and $i0,$mask,$b,lsr#4 ldr $t1,[sp,$i1] @ tab[b >> 3 & 0x7] and $i1,$mask,$b,lsr#7 ldr $t0,[sp,$i0] @ tab[b >> 6 & 0x7] eor $lo,$lo,$t1,lsl#3 @ stall mov $hi,$t1,lsr#29 ldr $t1,[sp,$i1] @ tab[b >> 9 & 0x7] and $i0,$mask,$b,lsr#10 eor $lo,$lo,$t0,lsl#6 eor $hi,$hi,$t0,lsr#26 ldr $t0,[sp,$i0] @ tab[b >> 12 & 0x7] and $i1,$mask,$b,lsr#13 eor $lo,$lo,$t1,lsl#9 eor $hi,$hi,$t1,lsr#23 ldr $t1,[sp,$i1] @ tab[b >> 15 & 0x7] and $i0,$mask,$b,lsr#16 eor $lo,$lo,$t0,lsl#12 eor $hi,$hi,$t0,lsr#20 ldr $t0,[sp,$i0] @ tab[b >> 18 & 0x7] and $i1,$mask,$b,lsr#19 eor $lo,$lo,$t1,lsl#15 eor $hi,$hi,$t1,lsr#17 ldr $t1,[sp,$i1] @ tab[b >> 21 & 0x7] and $i0,$mask,$b,lsr#22 eor $lo,$lo,$t0,lsl#18 eor $hi,$hi,$t0,lsr#14 ldr $t0,[sp,$i0] @ tab[b >> 24 & 0x7] and $i1,$mask,$b,lsr#25 eor $lo,$lo,$t1,lsl#21 eor $hi,$hi,$t1,lsr#11 ldr $t1,[sp,$i1] @ tab[b >> 27 & 0x7] tst $a,#1<<30 and $i0,$mask,$b,lsr#28 eor $lo,$lo,$t0,lsl#24 eor $hi,$hi,$t0,lsr#8 ldr $t0,[sp,$i0] @ tab[b >> 30 ] eorne $lo,$lo,$b,lsl#30 eorne $hi,$hi,$b,lsr#2 tst $a,#1<<31 eor $lo,$lo,$t1,lsl#27 eor $hi,$hi,$t1,lsr#5 eorne $lo,$lo,$b,lsl#31 eorne $hi,$hi,$b,lsr#1 eor $lo,$lo,$t0,lsl#30 eor $hi,$hi,$t0,lsr#2 mov pc,lr .size mul_1x1_ialu,.-mul_1x1_ialu ___ ################ # void bn_GF2m_mul_2x2(BN_ULONG *r, # BN_ULONG a1,BN_ULONG a0, # BN_ULONG b1,BN_ULONG b0); # r[3..0]=a1a0·b1b0 ($A1,$B1,$A0,$B0,$A1B1,$A0B0)=map("d$_",(18..23)); $code.=<<___; .global bn_GF2m_mul_2x2 .type bn_GF2m_mul_2x2,%function .align 5 bn_GF2m_mul_2x2: #if __ARM_ARCH__>=7 ldr r12,.LOPENSSL_armcap .Lpic: ldr r12,[pc,r12] 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 .align 4 .Lialu: #endif ___ $ret="r10"; # reassigned 1st argument $code.=<<___; stmdb sp!,{r4-r10,lr} mov $ret,r0 @ reassign 1st argument mov $b,r3 @ $b=b1 ldr r3,[sp,#32] @ load b0 mov $mask,#7<<2 sub sp,sp,#32 @ allocate tab[8] bl mul_1x1_ialu @ a1·b1 str $lo,[$ret,#8] str $hi,[$ret,#12] eor $b,$b,r3 @ flip b0 and b1 eor $a,$a,r2 @ flip a0 and a1 eor r3,r3,$b eor r2,r2,$a eor $b,$b,r3 eor $a,$a,r2 bl mul_1x1_ialu @ a0·b0 str $lo,[$ret] str $hi,[$ret,#4] eor $a,$a,r2 eor $b,$b,r3 bl mul_1x1_ialu @ (a1+a0)·(b1+b0) ___ @r=map("r$_",(6..9)); $code.=<<___; ldmia $ret,{@r[0]-@r[3]} eor $lo,$lo,$hi eor $hi,$hi,@r[1] eor $lo,$lo,@r[0] eor $hi,$hi,@r[2] eor $lo,$lo,@r[3] eor $hi,$hi,@r[3] str $hi,[$ret,#8] eor $lo,$lo,$hi add sp,sp,#32 @ destroy tab[8] str $lo,[$ret,#4] #if __ARM_ARCH__>=5 ldmia sp!,{r4-r10,pc} #else ldmia sp!,{r4-r10,lr} tst lr,#1 moveq pc,lr @ be binary compatible with V4, yet bx lr @ interoperable with Thumb ISA:-) #endif .size bn_GF2m_mul_2x2,.-bn_GF2m_mul_2x2 #if __ARM_ARCH__>=7 .align 5 .LOPENSSL_armcap: .word OPENSSL_armcap_P-(.Lpic+8) #endif .asciz "GF(2^m) Multiplication for ARMv4/NEON, CRYPTOGAMS by <appro\@openssl.org>" .align 5 .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; close STDOUT; # enforce flush