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- #!/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();
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