#!/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 three code paths: pure integer # code suitable for any x86 CPU, MMX code suitable for PIII and later # and PCLMULQDQ suitable for Westmere and later. Improvement varies # from one benchmark and µ-arch to another. Below are interval values # for 163- and 571-bit ECDH benchmarks relative to compiler-generated # code: # # PIII 16%-30% # P4 12%-12% # Opteron 18%-40% # Core2 19%-44% # Atom 38%-64% # Westmere 53%-121%(PCLMULQDQ)/20%-32%(MMX) # Sandy Bridge 72%-127%(PCLMULQDQ)/27%-23%(MMX) # # Note that above improvement coefficients are not coefficients for # bn_GF2m_mul_2x2 itself. For example 120% ECDH improvement is result # of bn_GF2m_mul_2x2 being >4x faster. As it gets faster, benchmark # is more and more dominated by other subroutines, most notably by # BN_GF2m_mod[_mul]_arr... $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; push(@INC,"${dir}","${dir}../../perlasm"); require "x86asm.pl"; &asm_init($ARGV[0],$0,$x86only = $ARGV[$#ARGV] eq "386"); $sse2=0; for (@ARGV) { $sse2=1 if (/-DOPENSSL_IA32_SSE2/); } &external_label("OPENSSL_ia32cap_P") if ($sse2); $a="eax"; $b="ebx"; ($a1,$a2,$a4)=("ecx","edx","ebp"); $R="mm0"; @T=("mm1","mm2"); ($A,$B,$B30,$B31)=("mm2","mm3","mm4","mm5"); @i=("esi","edi"); if (!$x86only) { &function_begin_B("_mul_1x1_mmx"); &sub ("esp",32+4); &mov ($a1,$a); &lea ($a2,&DWP(0,$a,$a)); &and ($a1,0x3fffffff); &lea ($a4,&DWP(0,$a2,$a2)); &mov (&DWP(0*4,"esp"),0); &and ($a2,0x7fffffff); &movd ($A,$a); &movd ($B,$b); &mov (&DWP(1*4,"esp"),$a1); # a1 &xor ($a1,$a2); # a1^a2 &pxor ($B31,$B31); &pxor ($B30,$B30); &mov (&DWP(2*4,"esp"),$a2); # a2 &xor ($a2,$a4); # a2^a4 &mov (&DWP(3*4,"esp"),$a1); # a1^a2 &pcmpgtd($B31,$A); # broadcast 31st bit &paddd ($A,$A); # $A<<=1 &xor ($a1,$a2); # a1^a4=a1^a2^a2^a4 &mov (&DWP(4*4,"esp"),$a4); # a4 &xor ($a4,$a2); # a2=a4^a2^a4 &pand ($B31,$B); &pcmpgtd($B30,$A); # broadcast 30th bit &mov (&DWP(5*4,"esp"),$a1); # a1^a4 &xor ($a4,$a1); # a1^a2^a4 &psllq ($B31,31); &pand ($B30,$B); &mov (&DWP(6*4,"esp"),$a2); # a2^a4 &mov (@i[0],0x7); &mov (&DWP(7*4,"esp"),$a4); # a1^a2^a4 &mov ($a4,@i[0]); &and (@i[0],$b); &shr ($b,3); &mov (@i[1],$a4); &psllq ($B30,30); &and (@i[1],$b); &shr ($b,3); &movd ($R,&DWP(0,"esp",@i[0],4)); &mov (@i[0],$a4); &and (@i[0],$b); &shr ($b,3); for($n=1;$n<9;$n++) { &movd (@T[1],&DWP(0,"esp",@i[1],4)); &mov (@i[1],$a4); &psllq (@T[1],3*$n); &and (@i[1],$b); &shr ($b,3); &pxor ($R,@T[1]); push(@i,shift(@i)); push(@T,shift(@T)); } &movd (@T[1],&DWP(0,"esp",@i[1],4)); &pxor ($R,$B30); &psllq (@T[1],3*$n++); &pxor ($R,@T[1]); &movd (@T[0],&DWP(0,"esp",@i[0],4)); &pxor ($R,$B31); &psllq (@T[0],3*$n); &add ("esp",32+4); &pxor ($R,@T[0]); &ret (); &function_end_B("_mul_1x1_mmx"); } ($lo,$hi)=("eax","edx"); @T=("ecx","ebp"); &function_begin_B("_mul_1x1_ialu"); &sub ("esp",32+4); &mov ($a1,$a); &lea ($a2,&DWP(0,$a,$a)); &lea ($a4,&DWP(0,"",$a,4)); &and ($a1,0x3fffffff); &lea (@i[1],&DWP(0,$lo,$lo)); &sar ($lo,31); # broadcast 31st bit &mov (&DWP(0*4,"esp"),0); &and ($a2,0x7fffffff); &mov (&DWP(1*4,"esp"),$a1); # a1 &xor ($a1,$a2); # a1^a2 &mov (&DWP(2*4,"esp"),$a2); # a2 &xor ($a2,$a4); # a2^a4 &mov (&DWP(3*4,"esp"),$a1); # a1^a2 &xor ($a1,$a2); # a1^a4=a1^a2^a2^a4 &mov (&DWP(4*4,"esp"),$a4); # a4 &xor ($a4,$a2); # a2=a4^a2^a4 &mov (&DWP(5*4,"esp"),$a1); # a1^a4 &xor ($a4,$a1); # a1^a2^a4 &sar (@i[1],31); # broardcast 30th bit &and ($lo,$b); &mov (&DWP(6*4,"esp"),$a2); # a2^a4 &and (@i[1],$b); &mov (&DWP(7*4,"esp"),$a4); # a1^a2^a4 &mov ($hi,$lo); &shl ($lo,31); &mov (@T[0],@i[1]); &shr ($hi,1); &mov (@i[0],0x7); &shl (@i[1],30); &and (@i[0],$b); &shr (@T[0],2); &xor ($lo,@i[1]); &shr ($b,3); &mov (@i[1],0x7); # 5-byte instruction!? &and (@i[1],$b); &shr ($b,3); &xor ($hi,@T[0]); &xor ($lo,&DWP(0,"esp",@i[0],4)); &mov (@i[0],0x7); &and (@i[0],$b); &shr ($b,3); for($n=1;$n<9;$n++) { &mov (@T[1],&DWP(0,"esp",@i[1],4)); &mov (@i[1],0x7); &mov (@T[0],@T[1]); &shl (@T[1],3*$n); &and (@i[1],$b); &shr (@T[0],32-3*$n); &xor ($lo,@T[1]); &shr ($b,3); &xor ($hi,@T[0]); push(@i,shift(@i)); push(@T,shift(@T)); } &mov (@T[1],&DWP(0,"esp",@i[1],4)); &mov (@T[0],@T[1]); &shl (@T[1],3*$n); &mov (@i[1],&DWP(0,"esp",@i[0],4)); &shr (@T[0],32-3*$n); $n++; &mov (@i[0],@i[1]); &xor ($lo,@T[1]); &shl (@i[1],3*$n); &xor ($hi,@T[0]); &shr (@i[0],32-3*$n); &xor ($lo,@i[1]); &xor ($hi,@i[0]); &add ("esp",32+4); &ret (); &function_end_B("_mul_1x1_ialu"); # void bn_GF2m_mul_2x2(BN_ULONG *r, BN_ULONG a1, BN_ULONG a0, BN_ULONG b1, BN_ULONG b0); &function_begin_B("bn_GF2m_mul_2x2"); if (!$x86only) { &picmeup("edx","OPENSSL_ia32cap_P"); &mov ("eax",&DWP(0,"edx")); &mov ("edx",&DWP(4,"edx")); &test ("eax",1<<23); # check MMX bit &jz (&label("ialu")); if ($sse2) { &test ("eax",1<<24); # check FXSR bit &jz (&label("mmx")); &test ("edx",1<<1); # check PCLMULQDQ bit &jz (&label("mmx")); &movups ("xmm0",&QWP(8,"esp")); &shufps ("xmm0","xmm0",0b10110001); &pclmulqdq ("xmm0","xmm0",1); &mov ("eax",&DWP(4,"esp")); &movups (&QWP(0,"eax"),"xmm0"); &ret (); &set_label("mmx",16); } &push ("ebp"); &push ("ebx"); &push ("esi"); &push ("edi"); &mov ($a,&wparam(1)); &mov ($b,&wparam(3)); &call ("_mul_1x1_mmx"); # a1·b1 &movq ("mm7",$R); &mov ($a,&wparam(2)); &mov ($b,&wparam(4)); &call ("_mul_1x1_mmx"); # a0·b0 &movq ("mm6",$R); &mov ($a,&wparam(1)); &mov ($b,&wparam(3)); &xor ($a,&wparam(2)); &xor ($b,&wparam(4)); &call ("_mul_1x1_mmx"); # (a0+a1)·(b0+b1) &pxor ($R,"mm7"); &mov ($a,&wparam(0)); &pxor ($R,"mm6"); # (a0+a1)·(b0+b1)-a1·b1-a0·b0 &movq ($A,$R); &psllq ($R,32); &pop ("edi"); &psrlq ($A,32); &pop ("esi"); &pxor ($R,"mm6"); &pop ("ebx"); &pxor ($A,"mm7"); &movq (&QWP(0,$a),$R); &pop ("ebp"); &movq (&QWP(8,$a),$A); &emms (); &ret (); &set_label("ialu",16); } &push ("ebp"); &push ("ebx"); &push ("esi"); &push ("edi"); &stack_push(4+1); &mov ($a,&wparam(1)); &mov ($b,&wparam(3)); &call ("_mul_1x1_ialu"); # a1·b1 &mov (&DWP(8,"esp"),$lo); &mov (&DWP(12,"esp"),$hi); &mov ($a,&wparam(2)); &mov ($b,&wparam(4)); &call ("_mul_1x1_ialu"); # a0·b0 &mov (&DWP(0,"esp"),$lo); &mov (&DWP(4,"esp"),$hi); &mov ($a,&wparam(1)); &mov ($b,&wparam(3)); &xor ($a,&wparam(2)); &xor ($b,&wparam(4)); &call ("_mul_1x1_ialu"); # (a0+a1)·(b0+b1) &mov ("ebp",&wparam(0)); @r=("ebx","ecx","edi","esi"); &mov (@r[0],&DWP(0,"esp")); &mov (@r[1],&DWP(4,"esp")); &mov (@r[2],&DWP(8,"esp")); &mov (@r[3],&DWP(12,"esp")); &xor ($lo,$hi); &xor ($hi,@r[1]); &xor ($lo,@r[0]); &mov (&DWP(0,"ebp"),@r[0]); &xor ($hi,@r[2]); &mov (&DWP(12,"ebp"),@r[3]); &xor ($lo,@r[3]); &stack_pop(4+1); &xor ($hi,@r[3]); &pop ("edi"); &xor ($lo,$hi); &pop ("esi"); &mov (&DWP(8,"ebp"),$hi); &pop ("ebx"); &mov (&DWP(4,"ebp"),$lo); &pop ("ebp"); &ret (); &function_end_B("bn_GF2m_mul_2x2"); &asciz ("GF(2^m) Multiplication for x86, CRYPTOGAMS by <appro\@openssl.org>"); &asm_finish();