#! /usr/bin/env perl # Copyright 2015-2016 The OpenSSL Project Authors. All Rights Reserved. # # Redistribution and use in source and binary forms, with or without # modification, are permitted provided that the following conditions # are met: # # 1. Redistributions of source code must retain the above copyright # notice, this list of conditions and the following disclaimer. # # 2. Redistributions in binary form must reproduce the above copyright # notice, this list of conditions and the following disclaimer in # the documentation and/or other materials provided with the # distribution. # # 3. All advertising materials mentioning features or use of this # software must display the following acknowledgment: # "This product includes software developed by the OpenSSL Project # for use in the OpenSSL Toolkit. (http://www.openssl.org/)" # # 4. The names "OpenSSL Toolkit" and "OpenSSL Project" must not be used to # endorse or promote products derived from this software without # prior written permission. For written permission, please contact # openssl-core@openssl.org. # # 5. Products derived from this software may not be called "OpenSSL" # nor may "OpenSSL" appear in their names without prior written # permission of the OpenSSL Project. # # 6. Redistributions of any form whatsoever must retain the following # acknowledgment: # "This product includes software developed by the OpenSSL Project # for use in the OpenSSL Toolkit (http://www.openssl.org/)" # # THIS SOFTWARE IS PROVIDED BY THE OpenSSL PROJECT ``AS IS'' AND ANY # EXPRESSED OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE # IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR # PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE OpenSSL PROJECT OR # ITS CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, # SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT # NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; # LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) # HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, # STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) # ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED # OF THE POSSIBILITY OF SUCH DAMAGE. # ==================================================================== # # This product includes cryptographic software written by Eric Young # (eay@cryptsoft.com). This product includes software written by Tim # Hudson (tjh@cryptsoft.com). # ==================================================================== # Written by Andy Polyakov 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/. # ==================================================================== # # ECP_NISTZ256 module for x86/SSE2. # # October 2014. # # Original ECP_NISTZ256 submission targeting x86_64 is detailed in # http://eprint.iacr.org/2013/816. In the process of adaptation # original .c module was made 32-bit savvy in order to make this # implementation possible. # # with/without -DECP_NISTZ256_ASM # Pentium +66-163% # PIII +72-172% # P4 +65-132% # Core2 +90-215% # Sandy Bridge +105-265% (contemporary i[57]-* are all close to this) # Atom +65-155% # Opteron +54-110% # Bulldozer +99-240% # VIA Nano +93-290% # # Ranges denote minimum and maximum improvement coefficients depending # on benchmark. Lower coefficients are for ECDSA sign, server-side # operation. Keep in mind that +200% means 3x improvement. $0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; push(@INC,"${dir}","${dir}../../../perlasm"); require "x86asm.pl"; $output=pop; open STDOUT,">$output"; &asm_init($ARGV[0],"ecp_nistz256-x86.pl",$ARGV[$#ARGV] eq "386"); $sse2=0; for (@ARGV) { $sse2=1 if (/-DOPENSSL_IA32_SSE2/); } &external_label("GFp_ia32cap_P") if ($sse2); ######################################################################## # Keep in mind that constants are stored least to most significant word &static_label("ONE_mont"); &set_label("ONE_mont"); &data_word(1,0,0,-1,-1,-1,-2,0); &function_begin_B("_ecp_nistz256_div_by_2"); # tmp = a is odd ? a+mod : a # # note that because mod has special form, i.e. consists of # 0xffffffff, 1 and 0s, we can conditionally synthesize it by # assigning least significant bit of input to one register, # %ebp, and its negative to another, %edx. &mov ("ebp",&DWP(0,"esi")); &xor ("edx","edx"); &mov ("ebx",&DWP(4,"esi")); &mov ("eax","ebp"); &and ("ebp",1); &mov ("ecx",&DWP(8,"esi")); &sub ("edx","ebp"); &add ("eax","edx"); &adc ("ebx","edx"); &mov (&DWP(0,"edi"),"eax"); &adc ("ecx","edx"); &mov (&DWP(4,"edi"),"ebx"); &mov (&DWP(8,"edi"),"ecx"); &mov ("eax",&DWP(12,"esi")); &mov ("ebx",&DWP(16,"esi")); &adc ("eax",0); &mov ("ecx",&DWP(20,"esi")); &adc ("ebx",0); &mov (&DWP(12,"edi"),"eax"); &adc ("ecx",0); &mov (&DWP(16,"edi"),"ebx"); &mov (&DWP(20,"edi"),"ecx"); &mov ("eax",&DWP(24,"esi")); &mov ("ebx",&DWP(28,"esi")); &adc ("eax","ebp"); &adc ("ebx","edx"); &mov (&DWP(24,"edi"),"eax"); &sbb ("esi","esi"); # broadcast carry bit &mov (&DWP(28,"edi"),"ebx"); # ret = tmp >> 1 &mov ("eax",&DWP(0,"edi")); &mov ("ebx",&DWP(4,"edi")); &mov ("ecx",&DWP(8,"edi")); &mov ("edx",&DWP(12,"edi")); &shr ("eax",1); &mov ("ebp","ebx"); &shl ("ebx",31); &or ("eax","ebx"); &shr ("ebp",1); &mov ("ebx","ecx"); &shl ("ecx",31); &mov (&DWP(0,"edi"),"eax"); &or ("ebp","ecx"); &mov ("eax",&DWP(16,"edi")); &shr ("ebx",1); &mov ("ecx","edx"); &shl ("edx",31); &mov (&DWP(4,"edi"),"ebp"); &or ("ebx","edx"); &mov ("ebp",&DWP(20,"edi")); &shr ("ecx",1); &mov ("edx","eax"); &shl ("eax",31); &mov (&DWP(8,"edi"),"ebx"); &or ("ecx","eax"); &mov ("ebx",&DWP(24,"edi")); &shr ("edx",1); &mov ("eax","ebp"); &shl ("ebp",31); &mov (&DWP(12,"edi"),"ecx"); &or ("edx","ebp"); &mov ("ecx",&DWP(28,"edi")); &shr ("eax",1); &mov ("ebp","ebx"); &shl ("ebx",31); &mov (&DWP(16,"edi"),"edx"); &or ("eax","ebx"); &shr ("ebp",1); &mov ("ebx","ecx"); &shl ("ecx",31); &mov (&DWP(20,"edi"),"eax"); &or ("ebp","ecx"); &shr ("ebx",1); &shl ("esi",31); &mov (&DWP(24,"edi"),"ebp"); &or ("ebx","esi"); # handle top-most carry bit &mov (&DWP(28,"edi"),"ebx"); &ret (); &function_end_B("_ecp_nistz256_div_by_2"); ######################################################################## # void GFp_nistz256_add(BN_ULONG edi[8],const BN_ULONG esi[8], # const BN_ULONG ebp[8]); &function_begin("GFp_nistz256_add"); &mov ("esi",&wparam(1)); &mov ("ebp",&wparam(2)); &mov ("edi",&wparam(0)); &call ("_ecp_nistz256_add"); &function_end("GFp_nistz256_add"); &function_begin_B("_ecp_nistz256_add"); &mov ("eax",&DWP(0,"esi")); &mov ("ebx",&DWP(4,"esi")); &mov ("ecx",&DWP(8,"esi")); &add ("eax",&DWP(0,"ebp")); &mov ("edx",&DWP(12,"esi")); &adc ("ebx",&DWP(4,"ebp")); &mov (&DWP(0,"edi"),"eax"); &adc ("ecx",&DWP(8,"ebp")); &mov (&DWP(4,"edi"),"ebx"); &adc ("edx",&DWP(12,"ebp")); &mov (&DWP(8,"edi"),"ecx"); &mov (&DWP(12,"edi"),"edx"); &mov ("eax",&DWP(16,"esi")); &mov ("ebx",&DWP(20,"esi")); &mov ("ecx",&DWP(24,"esi")); &adc ("eax",&DWP(16,"ebp")); &mov ("edx",&DWP(28,"esi")); &adc ("ebx",&DWP(20,"ebp")); &mov (&DWP(16,"edi"),"eax"); &adc ("ecx",&DWP(24,"ebp")); &mov (&DWP(20,"edi"),"ebx"); &mov ("esi",0); &adc ("edx",&DWP(28,"ebp")); &mov (&DWP(24,"edi"),"ecx"); &adc ("esi",0); &mov (&DWP(28,"edi"),"edx"); # if a+b >= modulus, subtract modulus. # # But since comparison implies subtraction, we subtract modulus # to see if it borrows, and then subtract it for real if # subtraction didn't borrow. &mov ("eax",&DWP(0,"edi")); &mov ("ebx",&DWP(4,"edi")); &mov ("ecx",&DWP(8,"edi")); &sub ("eax",-1); &mov ("edx",&DWP(12,"edi")); &sbb ("ebx",-1); &mov ("eax",&DWP(16,"edi")); &sbb ("ecx",-1); &mov ("ebx",&DWP(20,"edi")); &sbb ("edx",0); &mov ("ecx",&DWP(24,"edi")); &sbb ("eax",0); &mov ("edx",&DWP(28,"edi")); &sbb ("ebx",0); &sbb ("ecx",1); &sbb ("edx",-1); &sbb ("esi",0); # Note that because mod has special form, i.e. consists of # 0xffffffff, 1 and 0s, we can conditionally synthesize it by # by using borrow. ¬ ("esi"); &mov ("eax",&DWP(0,"edi")); &mov ("ebp","esi"); &mov ("ebx",&DWP(4,"edi")); &shr ("ebp",31); &mov ("ecx",&DWP(8,"edi")); &sub ("eax","esi"); &mov ("edx",&DWP(12,"edi")); &sbb ("ebx","esi"); &mov (&DWP(0,"edi"),"eax"); &sbb ("ecx","esi"); &mov (&DWP(4,"edi"),"ebx"); &sbb ("edx",0); &mov (&DWP(8,"edi"),"ecx"); &mov (&DWP(12,"edi"),"edx"); &mov ("eax",&DWP(16,"edi")); &mov ("ebx",&DWP(20,"edi")); &mov ("ecx",&DWP(24,"edi")); &sbb ("eax",0); &mov ("edx",&DWP(28,"edi")); &sbb ("ebx",0); &mov (&DWP(16,"edi"),"eax"); &sbb ("ecx","ebp"); &mov (&DWP(20,"edi"),"ebx"); &sbb ("edx","esi"); &mov (&DWP(24,"edi"),"ecx"); &mov (&DWP(28,"edi"),"edx"); &ret (); &function_end_B("_ecp_nistz256_add"); &function_begin_B("_ecp_nistz256_sub"); &mov ("eax",&DWP(0,"esi")); &mov ("ebx",&DWP(4,"esi")); &mov ("ecx",&DWP(8,"esi")); &sub ("eax",&DWP(0,"ebp")); &mov ("edx",&DWP(12,"esi")); &sbb ("ebx",&DWP(4,"ebp")); &mov (&DWP(0,"edi"),"eax"); &sbb ("ecx",&DWP(8,"ebp")); &mov (&DWP(4,"edi"),"ebx"); &sbb ("edx",&DWP(12,"ebp")); &mov (&DWP(8,"edi"),"ecx"); &mov (&DWP(12,"edi"),"edx"); &mov ("eax",&DWP(16,"esi")); &mov ("ebx",&DWP(20,"esi")); &mov ("ecx",&DWP(24,"esi")); &sbb ("eax",&DWP(16,"ebp")); &mov ("edx",&DWP(28,"esi")); &sbb ("ebx",&DWP(20,"ebp")); &sbb ("ecx",&DWP(24,"ebp")); &mov (&DWP(16,"edi"),"eax"); &sbb ("edx",&DWP(28,"ebp")); &mov (&DWP(20,"edi"),"ebx"); &sbb ("esi","esi"); # broadcast borrow bit &mov (&DWP(24,"edi"),"ecx"); &mov (&DWP(28,"edi"),"edx"); # if a-b borrows, add modulus. # # Note that because mod has special form, i.e. consists of # 0xffffffff, 1 and 0s, we can conditionally synthesize it by # assigning borrow bit to one register, %ebp, and its negative # to another, %esi. But we started by calculating %esi... &mov ("eax",&DWP(0,"edi")); &mov ("ebp","esi"); &mov ("ebx",&DWP(4,"edi")); &shr ("ebp",31); &mov ("ecx",&DWP(8,"edi")); &add ("eax","esi"); &mov ("edx",&DWP(12,"edi")); &adc ("ebx","esi"); &mov (&DWP(0,"edi"),"eax"); &adc ("ecx","esi"); &mov (&DWP(4,"edi"),"ebx"); &adc ("edx",0); &mov (&DWP(8,"edi"),"ecx"); &mov (&DWP(12,"edi"),"edx"); &mov ("eax",&DWP(16,"edi")); &mov ("ebx",&DWP(20,"edi")); &mov ("ecx",&DWP(24,"edi")); &adc ("eax",0); &mov ("edx",&DWP(28,"edi")); &adc ("ebx",0); &mov (&DWP(16,"edi"),"eax"); &adc ("ecx","ebp"); &mov (&DWP(20,"edi"),"ebx"); &adc ("edx","esi"); &mov (&DWP(24,"edi"),"ecx"); &mov (&DWP(28,"edi"),"edx"); &ret (); &function_end_B("_ecp_nistz256_sub"); ######################################################################## # void GFp_nistz256_neg(BN_ULONG edi[8],const BN_ULONG esi[8]); &function_begin("GFp_nistz256_neg"); &mov ("ebp",&wparam(1)); &mov ("edi",&wparam(0)); &xor ("eax","eax"); &stack_push(8); &mov (&DWP(0,"esp"),"eax"); &mov ("esi","esp"); &mov (&DWP(4,"esp"),"eax"); &mov (&DWP(8,"esp"),"eax"); &mov (&DWP(12,"esp"),"eax"); &mov (&DWP(16,"esp"),"eax"); &mov (&DWP(20,"esp"),"eax"); &mov (&DWP(24,"esp"),"eax"); &mov (&DWP(28,"esp"),"eax"); &call ("_ecp_nistz256_sub"); &stack_pop(8); &function_end("GFp_nistz256_neg"); &function_begin_B("_picup_eax"); &mov ("eax",&DWP(0,"esp")); &ret (); &function_end_B("_picup_eax"); ######################################################################## # void GFp_nistz256_mul_mont(BN_ULONG edi[8],const BN_ULONG esi[8], # const BN_ULONG ebp[8]); &function_begin("GFp_nistz256_mul_mont"); &mov ("esi",&wparam(1)); &mov ("ebp",&wparam(2)); if ($sse2) { &call ("_picup_eax"); &set_label("pic"); &picmeup("eax","GFp_ia32cap_P","eax",&label("pic")); &mov ("eax",&DWP(0,"eax")); } &mov ("edi",&wparam(0)); &call ("_ecp_nistz256_mul_mont"); &function_end("GFp_nistz256_mul_mont"); &function_begin_B("_ecp_nistz256_mul_mont"); if ($sse2) { # We always use SSE2 ######################################## # SSE2 code path featuring 32x16-bit # multiplications is ~2x faster than # IALU counterpart (except on Atom)... ######################################## # stack layout: # +------------------------------------+< %esp # | 7 16-byte temporary XMM words, | # | "sliding" toward lower address | # . . # +------------------------------------+ # | unused XMM word | # +------------------------------------+< +128,%ebx # | 8 16-byte XMM words holding copies | # | of a[i]<<64|a[i] | # . . # . . # +------------------------------------+< +256 &mov ("edx","esp"); &sub ("esp",0x100); &movd ("xmm7",&DWP(0,"ebp")); # b[0] -> 0000.00xy &lea ("ebp",&DWP(4,"ebp")); &pcmpeqd("xmm6","xmm6"); &psrlq ("xmm6",48); # compose 0xffff<<64|0xffff &pshuflw("xmm7","xmm7",0b11011100); # 0000.00xy -> 0000.0x0y &and ("esp",-64); &pshufd ("xmm7","xmm7",0b11011100); # 0000.0x0y -> 000x.000y &lea ("ebx",&DWP(0x80,"esp")); &movd ("xmm0",&DWP(4*0,"esi")); # a[0] -> 0000.00xy &pshufd ("xmm0","xmm0",0b11001100); # 0000.00xy -> 00xy.00xy &movd ("xmm1",&DWP(4*1,"esi")); # a[1] -> ... &movdqa (&QWP(0x00,"ebx"),"xmm0"); # offload converted a[0] &pmuludq("xmm0","xmm7"); # a[0]*b[0] &movd ("xmm2",&DWP(4*2,"esi")); &pshufd ("xmm1","xmm1",0b11001100); &movdqa (&QWP(0x10,"ebx"),"xmm1"); &pmuludq("xmm1","xmm7"); # a[1]*b[0] &movq ("xmm4","xmm0"); # clear upper 64 bits &pslldq("xmm4",6); &paddq ("xmm4","xmm0"); &movdqa("xmm5","xmm4"); &psrldq("xmm4",10); # upper 32 bits of a[0]*b[0] &pand ("xmm5","xmm6"); # lower 32 bits of a[0]*b[0] # Upper half of a[0]*b[i] is carried into next multiplication # iteration, while lower one "participates" in actual reduction. # Normally latter is done by accumulating result of multiplication # of modulus by "magic" digit, but thanks to special form of modulus # and "magic" digit it can be performed only with additions and # subtractions (see note in IALU section below). Note that we are # not bothered with carry bits, they are accumulated in "flatten" # phase after all multiplications and reductions. &movd ("xmm3",&DWP(4*3,"esi")); &pshufd ("xmm2","xmm2",0b11001100); &movdqa (&QWP(0x20,"ebx"),"xmm2"); &pmuludq("xmm2","xmm7"); # a[2]*b[0] &paddq ("xmm1","xmm4"); # a[1]*b[0]+hw(a[0]*b[0]), carry &movdqa (&QWP(0x00,"esp"),"xmm1"); # t[0] &movd ("xmm0",&DWP(4*4,"esi")); &pshufd ("xmm3","xmm3",0b11001100); &movdqa (&QWP(0x30,"ebx"),"xmm3"); &pmuludq("xmm3","xmm7"); # a[3]*b[0] &movdqa (&QWP(0x10,"esp"),"xmm2"); &movd ("xmm1",&DWP(4*5,"esi")); &pshufd ("xmm0","xmm0",0b11001100); &movdqa (&QWP(0x40,"ebx"),"xmm0"); &pmuludq("xmm0","xmm7"); # a[4]*b[0] &paddq ("xmm3","xmm5"); # a[3]*b[0]+lw(a[0]*b[0]), reduction step &movdqa (&QWP(0x20,"esp"),"xmm3"); &movd ("xmm2",&DWP(4*6,"esi")); &pshufd ("xmm1","xmm1",0b11001100); &movdqa (&QWP(0x50,"ebx"),"xmm1"); &pmuludq("xmm1","xmm7"); # a[5]*b[0] &movdqa (&QWP(0x30,"esp"),"xmm0"); &pshufd("xmm4","xmm5",0b10110001); # xmm4 = xmm5<<32, reduction step &movd ("xmm3",&DWP(4*7,"esi")); &pshufd ("xmm2","xmm2",0b11001100); &movdqa (&QWP(0x60,"ebx"),"xmm2"); &pmuludq("xmm2","xmm7"); # a[6]*b[0] &movdqa (&QWP(0x40,"esp"),"xmm1"); &psubq ("xmm4","xmm5"); # xmm4 = xmm5*0xffffffff, reduction step &movd ("xmm0",&DWP(0,"ebp")); # b[1] -> 0000.00xy &pshufd ("xmm3","xmm3",0b11001100); &movdqa (&QWP(0x70,"ebx"),"xmm3"); &pmuludq("xmm3","xmm7"); # a[7]*b[0] &pshuflw("xmm7","xmm0",0b11011100); # 0000.00xy -> 0000.0x0y &movdqa ("xmm0",&QWP(0x00,"ebx")); # pre-load converted a[0] &pshufd ("xmm7","xmm7",0b11011100); # 0000.0x0y -> 000x.000y &mov ("ecx",6); &lea ("ebp",&DWP(4,"ebp")); &jmp (&label("madd_sse2")); &set_label("madd_sse2",16); &paddq ("xmm2","xmm5"); # a[6]*b[i-1]+lw(a[0]*b[i-1]), reduction step [modulo-scheduled] &paddq ("xmm3","xmm4"); # a[7]*b[i-1]+lw(a[0]*b[i-1])*0xffffffff, reduction step [modulo-scheduled] &movdqa ("xmm1",&QWP(0x10,"ebx")); &pmuludq("xmm0","xmm7"); # a[0]*b[i] &movdqa(&QWP(0x50,"esp"),"xmm2"); &movdqa ("xmm2",&QWP(0x20,"ebx")); &pmuludq("xmm1","xmm7"); # a[1]*b[i] &movdqa(&QWP(0x60,"esp"),"xmm3"); &paddq ("xmm0",&QWP(0x00,"esp")); &movdqa ("xmm3",&QWP(0x30,"ebx")); &pmuludq("xmm2","xmm7"); # a[2]*b[i] &movq ("xmm4","xmm0"); # clear upper 64 bits &pslldq("xmm4",6); &paddq ("xmm1",&QWP(0x10,"esp")); &paddq ("xmm4","xmm0"); &movdqa("xmm5","xmm4"); &psrldq("xmm4",10); # upper 33 bits of a[0]*b[i]+t[0] &movdqa ("xmm0",&QWP(0x40,"ebx")); &pmuludq("xmm3","xmm7"); # a[3]*b[i] &paddq ("xmm1","xmm4"); # a[1]*b[i]+hw(a[0]*b[i]), carry &paddq ("xmm2",&QWP(0x20,"esp")); &movdqa (&QWP(0x00,"esp"),"xmm1"); &movdqa ("xmm1",&QWP(0x50,"ebx")); &pmuludq("xmm0","xmm7"); # a[4]*b[i] &paddq ("xmm3",&QWP(0x30,"esp")); &movdqa (&QWP(0x10,"esp"),"xmm2"); &pand ("xmm5","xmm6"); # lower 32 bits of a[0]*b[i] &movdqa ("xmm2",&QWP(0x60,"ebx")); &pmuludq("xmm1","xmm7"); # a[5]*b[i] &paddq ("xmm3","xmm5"); # a[3]*b[i]+lw(a[0]*b[i]), reduction step &paddq ("xmm0",&QWP(0x40,"esp")); &movdqa (&QWP(0x20,"esp"),"xmm3"); &pshufd("xmm4","xmm5",0b10110001); # xmm4 = xmm5<<32, reduction step &movdqa ("xmm3","xmm7"); &pmuludq("xmm2","xmm7"); # a[6]*b[i] &movd ("xmm7",&DWP(0,"ebp")); # b[i++] -> 0000.00xy &lea ("ebp",&DWP(4,"ebp")); &paddq ("xmm1",&QWP(0x50,"esp")); &psubq ("xmm4","xmm5"); # xmm4 = xmm5*0xffffffff, reduction step &movdqa (&QWP(0x30,"esp"),"xmm0"); &pshuflw("xmm7","xmm7",0b11011100); # 0000.00xy -> 0000.0x0y &pmuludq("xmm3",&QWP(0x70,"ebx")); # a[7]*b[i] &pshufd("xmm7","xmm7",0b11011100); # 0000.0x0y -> 000x.000y &movdqa("xmm0",&QWP(0x00,"ebx")); # pre-load converted a[0] &movdqa (&QWP(0x40,"esp"),"xmm1"); &paddq ("xmm2",&QWP(0x60,"esp")); &dec ("ecx"); &jnz (&label("madd_sse2")); &paddq ("xmm2","xmm5"); # a[6]*b[6]+lw(a[0]*b[6]), reduction step [modulo-scheduled] &paddq ("xmm3","xmm4"); # a[7]*b[6]+lw(a[0]*b[6])*0xffffffff, reduction step [modulo-scheduled] &movdqa ("xmm1",&QWP(0x10,"ebx")); &pmuludq("xmm0","xmm7"); # a[0]*b[7] &movdqa(&QWP(0x50,"esp"),"xmm2"); &movdqa ("xmm2",&QWP(0x20,"ebx")); &pmuludq("xmm1","xmm7"); # a[1]*b[7] &movdqa(&QWP(0x60,"esp"),"xmm3"); &paddq ("xmm0",&QWP(0x00,"esp")); &movdqa ("xmm3",&QWP(0x30,"ebx")); &pmuludq("xmm2","xmm7"); # a[2]*b[7] &movq ("xmm4","xmm0"); # clear upper 64 bits &pslldq("xmm4",6); &paddq ("xmm1",&QWP(0x10,"esp")); &paddq ("xmm4","xmm0"); &movdqa("xmm5","xmm4"); &psrldq("xmm4",10); # upper 33 bits of a[0]*b[i]+t[0] &movdqa ("xmm0",&QWP(0x40,"ebx")); &pmuludq("xmm3","xmm7"); # a[3]*b[7] &paddq ("xmm1","xmm4"); # a[1]*b[7]+hw(a[0]*b[7]), carry &paddq ("xmm2",&QWP(0x20,"esp")); &movdqa (&QWP(0x00,"esp"),"xmm1"); &movdqa ("xmm1",&QWP(0x50,"ebx")); &pmuludq("xmm0","xmm7"); # a[4]*b[7] &paddq ("xmm3",&QWP(0x30,"esp")); &movdqa (&QWP(0x10,"esp"),"xmm2"); &pand ("xmm5","xmm6"); # lower 32 bits of a[0]*b[i] &movdqa ("xmm2",&QWP(0x60,"ebx")); &pmuludq("xmm1","xmm7"); # a[5]*b[7] &paddq ("xmm3","xmm5"); # reduction step &paddq ("xmm0",&QWP(0x40,"esp")); &movdqa (&QWP(0x20,"esp"),"xmm3"); &pshufd("xmm4","xmm5",0b10110001); # xmm4 = xmm5<<32, reduction step &movdqa ("xmm3",&QWP(0x70,"ebx")); &pmuludq("xmm2","xmm7"); # a[6]*b[7] &paddq ("xmm1",&QWP(0x50,"esp")); &psubq ("xmm4","xmm5"); # xmm4 = xmm5*0xffffffff, reduction step &movdqa (&QWP(0x30,"esp"),"xmm0"); &pmuludq("xmm3","xmm7"); # a[7]*b[7] &pcmpeqd("xmm7","xmm7"); &movdqa ("xmm0",&QWP(0x00,"esp")); &pslldq ("xmm7",8); &movdqa (&QWP(0x40,"esp"),"xmm1"); &paddq ("xmm2",&QWP(0x60,"esp")); &paddq ("xmm2","xmm5"); # a[6]*b[7]+lw(a[0]*b[7]), reduction step &paddq ("xmm3","xmm4"); # a[6]*b[7]+lw(a[0]*b[7])*0xffffffff, reduction step &movdqa(&QWP(0x50,"esp"),"xmm2"); &movdqa(&QWP(0x60,"esp"),"xmm3"); &movdqa ("xmm1",&QWP(0x10,"esp")); &movdqa ("xmm2",&QWP(0x20,"esp")); &movdqa ("xmm3",&QWP(0x30,"esp")); &movq ("xmm4","xmm0"); # "flatten" &pand ("xmm0","xmm7"); &xor ("ebp","ebp"); &pslldq ("xmm4",6); &movq ("xmm5","xmm1"); &paddq ("xmm0","xmm4"); &pand ("xmm1","xmm7"); &psrldq ("xmm0",6); &movd ("eax","xmm0"); &psrldq ("xmm0",4); &paddq ("xmm5","xmm0"); &movdqa ("xmm0",&QWP(0x40,"esp")); &sub ("eax",-1); # start subtracting modulus, # this is used to determine # if result is larger/smaller # than modulus (see below) &pslldq ("xmm5",6); &movq ("xmm4","xmm2"); &paddq ("xmm1","xmm5"); &pand ("xmm2","xmm7"); &psrldq ("xmm1",6); &mov (&DWP(4*0,"edi"),"eax"); &movd ("eax","xmm1"); &psrldq ("xmm1",4); &paddq ("xmm4","xmm1"); &movdqa ("xmm1",&QWP(0x50,"esp")); &sbb ("eax",-1); &pslldq ("xmm4",6); &movq ("xmm5","xmm3"); &paddq ("xmm2","xmm4"); &pand ("xmm3","xmm7"); &psrldq ("xmm2",6); &mov (&DWP(4*1,"edi"),"eax"); &movd ("eax","xmm2"); &psrldq ("xmm2",4); &paddq ("xmm5","xmm2"); &movdqa ("xmm2",&QWP(0x60,"esp")); &sbb ("eax",-1); &pslldq ("xmm5",6); &movq ("xmm4","xmm0"); &paddq ("xmm3","xmm5"); &pand ("xmm0","xmm7"); &psrldq ("xmm3",6); &mov (&DWP(4*2,"edi"),"eax"); &movd ("eax","xmm3"); &psrldq ("xmm3",4); &paddq ("xmm4","xmm3"); &sbb ("eax",0); &pslldq ("xmm4",6); &movq ("xmm5","xmm1"); &paddq ("xmm0","xmm4"); &pand ("xmm1","xmm7"); &psrldq ("xmm0",6); &mov (&DWP(4*3,"edi"),"eax"); &movd ("eax","xmm0"); &psrldq ("xmm0",4); &paddq ("xmm5","xmm0"); &sbb ("eax",0); &pslldq ("xmm5",6); &movq ("xmm4","xmm2"); &paddq ("xmm1","xmm5"); &pand ("xmm2","xmm7"); &psrldq ("xmm1",6); &movd ("ebx","xmm1"); &psrldq ("xmm1",4); &mov ("esp","edx"); &paddq ("xmm4","xmm1"); &pslldq ("xmm4",6); &paddq ("xmm2","xmm4"); &psrldq ("xmm2",6); &movd ("ecx","xmm2"); &psrldq ("xmm2",4); &sbb ("ebx",0); &movd ("edx","xmm2"); &pextrw ("esi","xmm2",2); # top-most overflow bit &sbb ("ecx",1); &sbb ("edx",-1); &sbb ("esi",0); # borrow from subtraction # Final step is "if result > mod, subtract mod", and at this point # we have result - mod written to output buffer, as well as borrow # bit from this subtraction, and if borrow bit is set, we add # modulus back. # # Note that because mod has special form, i.e. consists of # 0xffffffff, 1 and 0s, we can conditionally synthesize it by # assigning borrow bit to one register, %ebp, and its negative # to another, %esi. But we started by calculating %esi... &sub ("ebp","esi"); &add (&DWP(4*0,"edi"),"esi"); # add modulus or zero &adc (&DWP(4*1,"edi"),"esi"); &adc (&DWP(4*2,"edi"),"esi"); &adc (&DWP(4*3,"edi"),0); &adc ("eax",0); &adc ("ebx",0); &mov (&DWP(4*4,"edi"),"eax"); &adc ("ecx","ebp"); &mov (&DWP(4*5,"edi"),"ebx"); &adc ("edx","esi"); &mov (&DWP(4*6,"edi"),"ecx"); &mov (&DWP(4*7,"edi"),"edx"); &ret (); } # Non-SSE2 code removed. &function_end_B("_ecp_nistz256_mul_mont"); ######################################################################## # following subroutines are "literal" implementation of those found in # ecp_nistz256.c # ######################################################################## # void GFp_nistz256_point_double(P256_POINT *out,const P256_POINT *inp); # &static_label("point_double_shortcut"); &function_begin("GFp_nistz256_point_double"); { my ($S,$M,$Zsqr,$in_x,$tmp0)=map(32*$_,(0..4)); &mov ("esi",&wparam(1)); # above map() describes stack layout with 5 temporary # 256-bit vectors on top, then we take extra word for # GFp_ia32cap_P copy. &stack_push(8*5+1); if ($sse2) { &call ("_picup_eax"); &set_label("pic"); &picmeup("edx","GFp_ia32cap_P","eax",&label("pic")); &mov ("ebp",&DWP(0,"edx")); } &set_label("point_double_shortcut"); &mov ("eax",&DWP(0,"esi")); # copy in_x &mov ("ebx",&DWP(4,"esi")); &mov ("ecx",&DWP(8,"esi")); &mov ("edx",&DWP(12,"esi")); &mov (&DWP($in_x+0,"esp"),"eax"); &mov (&DWP($in_x+4,"esp"),"ebx"); &mov (&DWP($in_x+8,"esp"),"ecx"); &mov (&DWP($in_x+12,"esp"),"edx"); &mov ("eax",&DWP(16,"esi")); &mov ("ebx",&DWP(20,"esi")); &mov ("ecx",&DWP(24,"esi")); &mov ("edx",&DWP(28,"esi")); &mov (&DWP($in_x+16,"esp"),"eax"); &mov (&DWP($in_x+20,"esp"),"ebx"); &mov (&DWP($in_x+24,"esp"),"ecx"); &mov (&DWP($in_x+28,"esp"),"edx"); &mov (&DWP(32*5,"esp"),"ebp"); # GFp_ia32cap_P copy &lea ("ebp",&DWP(32,"esi")); &lea ("esi",&DWP(32,"esi")); &lea ("edi",&DWP($S,"esp")); &call ("_ecp_nistz256_add"); # p256_mul_by_2(S, in_y); &mov ("eax",&DWP(32*5,"esp")); # GFp_ia32cap_P copy &mov ("esi",64); &add ("esi",&wparam(1)); &lea ("edi",&DWP($Zsqr,"esp")); &mov ("ebp","esi"); &call ("_ecp_nistz256_mul_mont"); # p256_sqr_mont(Zsqr, in_z); &mov ("eax",&DWP(32*5,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($S,"esp")); &lea ("ebp",&DWP($S,"esp")); &lea ("edi",&DWP($S,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_sqr_mont(S, S); &mov ("eax",&DWP(32*5,"esp")); # GFp_ia32cap_P copy &mov ("ebp",&wparam(1)); &lea ("esi",&DWP(32,"ebp")); &lea ("ebp",&DWP(64,"ebp")); &lea ("edi",&DWP($tmp0,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_mul_mont(tmp0, in_z, in_y); &lea ("esi",&DWP($in_x,"esp")); &lea ("ebp",&DWP($Zsqr,"esp")); &lea ("edi",&DWP($M,"esp")); &call ("_ecp_nistz256_add"); # p256_add(M, in_x, Zsqr); &mov ("edi",64); &lea ("esi",&DWP($tmp0,"esp")); &lea ("ebp",&DWP($tmp0,"esp")); &add ("edi",&wparam(0)); &call ("_ecp_nistz256_add"); # p256_mul_by_2(res_z, tmp0); &lea ("esi",&DWP($in_x,"esp")); &lea ("ebp",&DWP($Zsqr,"esp")); &lea ("edi",&DWP($Zsqr,"esp")); &call ("_ecp_nistz256_sub"); # p256_sub(Zsqr, in_x, Zsqr); &mov ("eax",&DWP(32*5,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($S,"esp")); &lea ("ebp",&DWP($S,"esp")); &lea ("edi",&DWP($tmp0,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_sqr_mont(tmp0, S); &mov ("eax",&DWP(32*5,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($M,"esp")); &lea ("ebp",&DWP($Zsqr,"esp")); &lea ("edi",&DWP($M,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_mul_mont(M, M, Zsqr); &mov ("edi",32); &lea ("esi",&DWP($tmp0,"esp")); &add ("edi",&wparam(0)); &call ("_ecp_nistz256_div_by_2"); # p256_div_by_2(res_y, tmp0); &lea ("esi",&DWP($M,"esp")); &lea ("ebp",&DWP($M,"esp")); &lea ("edi",&DWP($tmp0,"esp")); &call ("_ecp_nistz256_add"); # 1/2 p256_mul_by_3(M, M); &mov ("eax",&DWP(32*5,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($in_x,"esp")); &lea ("ebp",&DWP($S,"esp")); &lea ("edi",&DWP($S,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_mul_mont(S, S, in_x); &lea ("esi",&DWP($tmp0,"esp")); &lea ("ebp",&DWP($M,"esp")); &lea ("edi",&DWP($M,"esp")); &call ("_ecp_nistz256_add"); # 2/2 p256_mul_by_3(M, M); &lea ("esi",&DWP($S,"esp")); &lea ("ebp",&DWP($S,"esp")); &lea ("edi",&DWP($tmp0,"esp")); &call ("_ecp_nistz256_add"); # p256_mul_by_2(tmp0, S); &mov ("eax",&DWP(32*5,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($M,"esp")); &lea ("ebp",&DWP($M,"esp")); &mov ("edi",&wparam(0)); &call ("_ecp_nistz256_mul_mont"); # p256_sqr_mont(res_x, M); &mov ("esi","edi"); # %edi is still res_x here &lea ("ebp",&DWP($tmp0,"esp")); &call ("_ecp_nistz256_sub"); # p256_sub(res_x, res_x, tmp0); &lea ("esi",&DWP($S,"esp")); &mov ("ebp","edi"); # %edi is still res_x &lea ("edi",&DWP($S,"esp")); &call ("_ecp_nistz256_sub"); # p256_sub(S, S, res_x); &mov ("eax",&DWP(32*5,"esp")); # GFp_ia32cap_P copy &mov ("esi","edi"); # %edi is still &S &lea ("ebp",&DWP($M,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_mul_mont(S, S, M); &mov ("ebp",32); &lea ("esi",&DWP($S,"esp")); &add ("ebp",&wparam(0)); &mov ("edi","ebp"); &call ("_ecp_nistz256_sub"); # p256_sub(res_y, S, res_y); &stack_pop(8*5+1); } &function_end("GFp_nistz256_point_double"); ######################################################################## # void GFp_nistz256_point_add_affine(P256_POINT *out, # const P256_POINT *in1, # const P256_POINT_AFFINE *in2); &function_begin("GFp_nistz256_point_add_affine"); { my ($res_x,$res_y,$res_z, $in1_x,$in1_y,$in1_z, $in2_x,$in2_y, $U2,$S2,$H,$R,$Hsqr,$Hcub,$Rsqr)=map(32*$_,(0..14)); my $Z1sqr = $S2; my @ONE_mont=(1,0,0,-1,-1,-1,-2,0); &mov ("esi",&wparam(1)); # above map() describes stack layout with 15 temporary # 256-bit vectors on top, then we take extra words for # !in1infty, !in2infty, and GFp_ia32cap_P copy. &stack_push(8*15+3); if ($sse2) { &call ("_picup_eax"); &set_label("pic"); &picmeup("edx","GFp_ia32cap_P","eax",&label("pic")); &mov ("ebp",&DWP(0,"edx")); } &lea ("edi",&DWP($in1_x,"esp")); for($i=0;$i<96;$i+=16) { &mov ("eax",&DWP($i+0,"esi")); # copy in1 &mov ("ebx",&DWP($i+4,"esi")); &mov ("ecx",&DWP($i+8,"esi")); &mov ("edx",&DWP($i+12,"esi")); &mov (&DWP($i+0,"edi"),"eax"); &mov (&DWP(32*15+8,"esp"),"ebp") if ($i==0); &mov ("ebp","eax") if ($i==64); &or ("ebp","eax") if ($i>64); &mov (&DWP($i+4,"edi"),"ebx"); &or ("ebp","ebx") if ($i>=64); &mov (&DWP($i+8,"edi"),"ecx"); &or ("ebp","ecx") if ($i>=64); &mov (&DWP($i+12,"edi"),"edx"); &or ("ebp","edx") if ($i>=64); } &xor ("eax","eax"); &mov ("esi",&wparam(2)); &sub ("eax","ebp"); &or ("ebp","eax"); &sar ("ebp",31); &mov (&DWP(32*15+0,"esp"),"ebp"); # !in1infty &lea ("edi",&DWP($in2_x,"esp")); for($i=0;$i<64;$i+=16) { &mov ("eax",&DWP($i+0,"esi")); # copy in2 &mov ("ebx",&DWP($i+4,"esi")); &mov ("ecx",&DWP($i+8,"esi")); &mov ("edx",&DWP($i+12,"esi")); &mov (&DWP($i+0,"edi"),"eax"); &mov ("ebp","eax") if ($i==0); &or ("ebp","eax") if ($i!=0); &mov (&DWP($i+4,"edi"),"ebx"); &or ("ebp","ebx"); &mov (&DWP($i+8,"edi"),"ecx"); &or ("ebp","ecx"); &mov (&DWP($i+12,"edi"),"edx"); &or ("ebp","edx"); } &xor ("ebx","ebx"); &mov ("eax",&DWP(32*15+8,"esp")); # GFp_ia32cap_P copy &sub ("ebx","ebp"); &lea ("esi",&DWP($in1_z,"esp")); &or ("ebx","ebp"); &lea ("ebp",&DWP($in1_z,"esp")); &sar ("ebx",31); &lea ("edi",&DWP($Z1sqr,"esp")); &mov (&DWP(32*15+4,"esp"),"ebx"); # !in2infty &call ("_ecp_nistz256_mul_mont"); # p256_sqr_mont(Z1sqr, in1_z); &mov ("eax",&DWP(32*15+8,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($in2_x,"esp")); &mov ("ebp","edi"); # %esi is stull &Z1sqr &lea ("edi",&DWP($U2,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_mul_mont(U2, Z1sqr, in2_x); &mov ("eax",&DWP(32*15+8,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($in1_z,"esp")); &lea ("ebp",&DWP($Z1sqr,"esp")); &lea ("edi",&DWP($S2,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_mul_mont(S2, Z1sqr, in1_z); &lea ("esi",&DWP($U2,"esp")); &lea ("ebp",&DWP($in1_x,"esp")); &lea ("edi",&DWP($H,"esp")); &call ("_ecp_nistz256_sub"); # p256_sub(H, U2, in1_x); &mov ("eax",&DWP(32*15+8,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($in2_y,"esp")); &lea ("ebp",&DWP($S2,"esp")); &lea ("edi",&DWP($S2,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_mul_mont(S2, S2, in2_y); &mov ("eax",&DWP(32*15+8,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($in1_z,"esp")); &lea ("ebp",&DWP($H,"esp")); &lea ("edi",&DWP($res_z,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_mul_mont(res_z, H, in1_z); &lea ("esi",&DWP($S2,"esp")); &lea ("ebp",&DWP($in1_y,"esp")); &lea ("edi",&DWP($R,"esp")); &call ("_ecp_nistz256_sub"); # p256_sub(R, S2, in1_y); &mov ("eax",&DWP(32*15+8,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($H,"esp")); &lea ("ebp",&DWP($H,"esp")); &lea ("edi",&DWP($Hsqr,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_sqr_mont(Hsqr, H); &mov ("eax",&DWP(32*15+8,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($R,"esp")); &lea ("ebp",&DWP($R,"esp")); &lea ("edi",&DWP($Rsqr,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_sqr_mont(Rsqr, R); &mov ("eax",&DWP(32*15+8,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($in1_x,"esp")); &lea ("ebp",&DWP($Hsqr,"esp")); &lea ("edi",&DWP($U2,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_mul_mont(U2, in1_x, Hsqr); &mov ("eax",&DWP(32*15+8,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($H,"esp")); &lea ("ebp",&DWP($Hsqr,"esp")); &lea ("edi",&DWP($Hcub,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_mul_mont(Hcub, Hsqr, H); &lea ("esi",&DWP($U2,"esp")); &lea ("ebp",&DWP($U2,"esp")); &lea ("edi",&DWP($Hsqr,"esp")); &call ("_ecp_nistz256_add"); # p256_mul_by_2(Hsqr, U2); &lea ("esi",&DWP($Rsqr,"esp")); &lea ("ebp",&DWP($Hsqr,"esp")); &lea ("edi",&DWP($res_x,"esp")); &call ("_ecp_nistz256_sub"); # p256_sub(res_x, Rsqr, Hsqr); &lea ("esi",&DWP($res_x,"esp")); &lea ("ebp",&DWP($Hcub,"esp")); &lea ("edi",&DWP($res_x,"esp")); &call ("_ecp_nistz256_sub"); # p256_sub(res_x, res_x, Hcub); &lea ("esi",&DWP($U2,"esp")); &lea ("ebp",&DWP($res_x,"esp")); &lea ("edi",&DWP($res_y,"esp")); &call ("_ecp_nistz256_sub"); # p256_sub(res_y, U2, res_x); &mov ("eax",&DWP(32*15+8,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($Hcub,"esp")); &lea ("ebp",&DWP($in1_y,"esp")); &lea ("edi",&DWP($S2,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_mul_mont(S2, Hcub, in1_y); &mov ("eax",&DWP(32*15+8,"esp")); # GFp_ia32cap_P copy &lea ("esi",&DWP($R,"esp")); &lea ("ebp",&DWP($res_y,"esp")); &lea ("edi",&DWP($res_y,"esp")); &call ("_ecp_nistz256_mul_mont"); # p256_mul_mont(res_y, res_y, R); &lea ("esi",&DWP($res_y,"esp")); &lea ("ebp",&DWP($S2,"esp")); &lea ("edi",&DWP($res_y,"esp")); &call ("_ecp_nistz256_sub"); # p256_sub(res_y, res_y, S2); &mov ("ebp",&DWP(32*15+0,"esp")); # !in1infty &mov ("esi",&DWP(32*15+4,"esp")); # !in2infty &mov ("edi",&wparam(0)); &mov ("edx","ebp"); ¬ ("ebp"); &and ("edx","esi"); &and ("ebp","esi"); ¬ ("esi"); ######################################## # conditional moves for($i=64;$i<96;$i+=4) { my $one=@ONE_mont[($i-64)/4]; &mov ("eax","edx"); &and ("eax",&DWP($res_x+$i,"esp")); &mov ("ebx","ebp") if ($one && $one!=-1); &and ("ebx",$one) if ($one && $one!=-1); &mov ("ecx","esi"); &and ("ecx",&DWP($in1_x+$i,"esp")); &or ("eax",$one==-1?"ebp":"ebx") if ($one); &or ("eax","ecx"); &mov (&DWP($i,"edi"),"eax"); } for($i=0;$i<64;$i+=4) { &mov ("eax","edx"); &and ("eax",&DWP($res_x+$i,"esp")); &mov ("ebx","ebp"); &and ("ebx",&DWP($in2_x+$i,"esp")); &mov ("ecx","esi"); &and ("ecx",&DWP($in1_x+$i,"esp")); &or ("eax","ebx"); &or ("eax","ecx"); &mov (&DWP($i,"edi"),"eax"); } &stack_pop(8*15+3); } &function_end("GFp_nistz256_point_add_affine"); &asm_finish(); close STDOUT or die "error closing STDOUT";