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Diffstat (limited to 'crypto/bn/asm/modexp512-x86_64.pl')
-rw-r--r-- | crypto/bn/asm/modexp512-x86_64.pl | 1497 |
1 files changed, 0 insertions, 1497 deletions
diff --git a/crypto/bn/asm/modexp512-x86_64.pl b/crypto/bn/asm/modexp512-x86_64.pl deleted file mode 100644 index bfd6e97541..0000000000 --- a/crypto/bn/asm/modexp512-x86_64.pl +++ /dev/null @@ -1,1497 +0,0 @@ -#!/usr/bin/env perl -# -# Copyright (c) 2010-2011 Intel Corp. -# Author: Vinodh.Gopal@intel.com -# Jim Guilford -# Erdinc.Ozturk@intel.com -# Maxim.Perminov@intel.com -# -# More information about algorithm used can be found at: -# http://www.cse.buffalo.edu/srds2009/escs2009_submission_Gopal.pdf -# -# ==================================================================== -# Copyright (c) 2011 The OpenSSL Project. 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 -# licensing@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. -# ==================================================================== - -$flavour = shift; -$output = shift; -if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } - -my $win64=0; $win64=1 if ($flavour =~ /[nm]asm|mingw64/ || $output =~ /\.asm$/); - -$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1; -( $xlate="${dir}x86_64-xlate.pl" and -f $xlate ) or -( $xlate="${dir}../../perlasm/x86_64-xlate.pl" and -f $xlate) or -die "can't locate x86_64-xlate.pl"; - -open OUT,"| \"$^X\" $xlate $flavour $output"; -*STDOUT=*OUT; - -use strict; -my $code=".text\n\n"; -my $m=0; - -# -# Define x512 macros -# - -#MULSTEP_512_ADD MACRO x7, x6, x5, x4, x3, x2, x1, x0, dst, src1, src2, add_src, tmp1, tmp2 -# -# uses rax, rdx, and args -sub MULSTEP_512_ADD -{ - my ($x, $DST, $SRC2, $ASRC, $OP, $TMP)=@_; - my @X=@$x; # make a copy -$code.=<<___; - mov (+8*0)($SRC2), %rax - mul $OP # rdx:rax = %OP * [0] - mov ($ASRC), $X[0] - add %rax, $X[0] - adc \$0, %rdx - mov $X[0], $DST -___ -for(my $i=1;$i<8;$i++) { -$code.=<<___; - mov %rdx, $TMP - - mov (+8*$i)($SRC2), %rax - mul $OP # rdx:rax = %OP * [$i] - mov (+8*$i)($ASRC), $X[$i] - add %rax, $X[$i] - adc \$0, %rdx - add $TMP, $X[$i] - adc \$0, %rdx -___ -} -$code.=<<___; - mov %rdx, $X[0] -___ -} - -#MULSTEP_512 MACRO x7, x6, x5, x4, x3, x2, x1, x0, dst, src2, src1_val, tmp -# -# uses rax, rdx, and args -sub MULSTEP_512 -{ - my ($x, $DST, $SRC2, $OP, $TMP)=@_; - my @X=@$x; # make a copy -$code.=<<___; - mov (+8*0)($SRC2), %rax - mul $OP # rdx:rax = %OP * [0] - add %rax, $X[0] - adc \$0, %rdx - mov $X[0], $DST -___ -for(my $i=1;$i<8;$i++) { -$code.=<<___; - mov %rdx, $TMP - - mov (+8*$i)($SRC2), %rax - mul $OP # rdx:rax = %OP * [$i] - add %rax, $X[$i] - adc \$0, %rdx - add $TMP, $X[$i] - adc \$0, %rdx -___ -} -$code.=<<___; - mov %rdx, $X[0] -___ -} - -# -# Swizzle Macros -# - -# macro to copy data from flat space to swizzled table -#MACRO swizzle pDst, pSrc, tmp1, tmp2 -# pDst and pSrc are modified -sub swizzle -{ - my ($pDst, $pSrc, $cnt, $d0)=@_; -$code.=<<___; - mov \$8, $cnt -loop_$m: - mov ($pSrc), $d0 - mov $d0#w, ($pDst) - shr \$16, $d0 - mov $d0#w, (+64*1)($pDst) - shr \$16, $d0 - mov $d0#w, (+64*2)($pDst) - shr \$16, $d0 - mov $d0#w, (+64*3)($pDst) - lea 8($pSrc), $pSrc - lea 64*4($pDst), $pDst - dec $cnt - jnz loop_$m -___ - - $m++; -} - -# macro to copy data from swizzled table to flat space -#MACRO unswizzle pDst, pSrc, tmp*3 -sub unswizzle -{ - my ($pDst, $pSrc, $cnt, $d0, $d1)=@_; -$code.=<<___; - mov \$4, $cnt -loop_$m: - movzxw (+64*3+256*0)($pSrc), $d0 - movzxw (+64*3+256*1)($pSrc), $d1 - shl \$16, $d0 - shl \$16, $d1 - mov (+64*2+256*0)($pSrc), $d0#w - mov (+64*2+256*1)($pSrc), $d1#w - shl \$16, $d0 - shl \$16, $d1 - mov (+64*1+256*0)($pSrc), $d0#w - mov (+64*1+256*1)($pSrc), $d1#w - shl \$16, $d0 - shl \$16, $d1 - mov (+64*0+256*0)($pSrc), $d0#w - mov (+64*0+256*1)($pSrc), $d1#w - mov $d0, (+8*0)($pDst) - mov $d1, (+8*1)($pDst) - lea 256*2($pSrc), $pSrc - lea 8*2($pDst), $pDst - sub \$1, $cnt - jnz loop_$m -___ - - $m++; -} - -# -# Data Structures -# - -# Reduce Data -# -# -# Offset Value -# 0C0 Carries -# 0B8 X2[10] -# 0B0 X2[9] -# 0A8 X2[8] -# 0A0 X2[7] -# 098 X2[6] -# 090 X2[5] -# 088 X2[4] -# 080 X2[3] -# 078 X2[2] -# 070 X2[1] -# 068 X2[0] -# 060 X1[12] P[10] -# 058 X1[11] P[9] Z[8] -# 050 X1[10] P[8] Z[7] -# 048 X1[9] P[7] Z[6] -# 040 X1[8] P[6] Z[5] -# 038 X1[7] P[5] Z[4] -# 030 X1[6] P[4] Z[3] -# 028 X1[5] P[3] Z[2] -# 020 X1[4] P[2] Z[1] -# 018 X1[3] P[1] Z[0] -# 010 X1[2] P[0] Y[2] -# 008 X1[1] Q[1] Y[1] -# 000 X1[0] Q[0] Y[0] - -my $X1_offset = 0; # 13 qwords -my $X2_offset = $X1_offset + 13*8; # 11 qwords -my $Carries_offset = $X2_offset + 11*8; # 1 qword -my $Q_offset = 0; # 2 qwords -my $P_offset = $Q_offset + 2*8; # 11 qwords -my $Y_offset = 0; # 3 qwords -my $Z_offset = $Y_offset + 3*8; # 9 qwords - -my $Red_Data_Size = $Carries_offset + 1*8; # (25 qwords) - -# -# Stack Frame -# -# -# offset value -# ... <old stack contents> -# ... -# 280 Garray - -# 278 tmp16[15] -# ... ... -# 200 tmp16[0] - -# 1F8 tmp[7] -# ... ... -# 1C0 tmp[0] - -# 1B8 GT[7] -# ... ... -# 180 GT[0] - -# 178 Reduce Data -# ... ... -# 0B8 Reduce Data -# 0B0 reserved -# 0A8 reserved -# 0A0 reserved -# 098 reserved -# 090 reserved -# 088 reduce result addr -# 080 exp[8] - -# ... -# 048 exp[1] -# 040 exp[0] - -# 038 reserved -# 030 loop_idx -# 028 pg -# 020 i -# 018 pData ; arg 4 -# 010 pG ; arg 2 -# 008 pResult ; arg 1 -# 000 rsp ; stack pointer before subtract - -my $rsp_offset = 0; -my $pResult_offset = 8*1 + $rsp_offset; -my $pG_offset = 8*1 + $pResult_offset; -my $pData_offset = 8*1 + $pG_offset; -my $i_offset = 8*1 + $pData_offset; -my $pg_offset = 8*1 + $i_offset; -my $loop_idx_offset = 8*1 + $pg_offset; -my $reserved1_offset = 8*1 + $loop_idx_offset; -my $exp_offset = 8*1 + $reserved1_offset; -my $red_result_addr_offset= 8*9 + $exp_offset; -my $reserved2_offset = 8*1 + $red_result_addr_offset; -my $Reduce_Data_offset = 8*5 + $reserved2_offset; -my $GT_offset = $Red_Data_Size + $Reduce_Data_offset; -my $tmp_offset = 8*8 + $GT_offset; -my $tmp16_offset = 8*8 + $tmp_offset; -my $garray_offset = 8*16 + $tmp16_offset; -my $mem_size = 8*8*32 + $garray_offset; - -# -# Offsets within Reduce Data -# -# -# struct MODF_2FOLD_MONT_512_C1_DATA { -# UINT64 t[8][8]; -# UINT64 m[8]; -# UINT64 m1[8]; /* 2^768 % m */ -# UINT64 m2[8]; /* 2^640 % m */ -# UINT64 k1[2]; /* (- 1/m) % 2^128 */ -# }; - -my $T = 0; -my $M = 512; # = 8 * 8 * 8 -my $M1 = 576; # = 8 * 8 * 9 /* += 8 * 8 */ -my $M2 = 640; # = 8 * 8 * 10 /* += 8 * 8 */ -my $K1 = 704; # = 8 * 8 * 11 /* += 8 * 8 */ - -# -# FUNCTIONS -# - -{{{ -# -# MULADD_128x512 : Function to multiply 128-bits (2 qwords) by 512-bits (8 qwords) -# and add 512-bits (8 qwords) -# to get 640 bits (10 qwords) -# Input: 128-bit mul source: [rdi+8*1], rbp -# 512-bit mul source: [rsi+8*n] -# 512-bit add source: r15, r14, ..., r9, r8 -# Output: r9, r8, r15, r14, r13, r12, r11, r10, [rcx+8*1], [rcx+8*0] -# Clobbers all regs except: rcx, rsi, rdi -$code.=<<___; -.type MULADD_128x512,\@abi-omnipotent -.align 16 -MULADD_128x512: -___ - &MULSTEP_512([map("%r$_",(8..15))], "(+8*0)(%rcx)", "%rsi", "%rbp", "%rbx"); -$code.=<<___; - mov (+8*1)(%rdi), %rbp -___ - &MULSTEP_512([map("%r$_",(9..15,8))], "(+8*1)(%rcx)", "%rsi", "%rbp", "%rbx"); -$code.=<<___; - ret -.size MULADD_128x512,.-MULADD_128x512 -___ -}}} - -{{{ -#MULADD_256x512 MACRO pDst, pA, pB, OP, TMP, X7, X6, X5, X4, X3, X2, X1, X0 -# -# Inputs: pDst: Destination (768 bits, 12 qwords) -# pA: Multiplicand (1024 bits, 16 qwords) -# pB: Multiplicand (512 bits, 8 qwords) -# Dst = Ah * B + Al -# where Ah is (in qwords) A[15:12] (256 bits) and Al is A[7:0] (512 bits) -# Results in X3 X2 X1 X0 X7 X6 X5 X4 Dst[3:0] -# Uses registers: arguments, RAX, RDX -sub MULADD_256x512 -{ - my ($pDst, $pA, $pB, $OP, $TMP, $X)=@_; -$code.=<<___; - mov (+8*12)($pA), $OP -___ - &MULSTEP_512_ADD($X, "(+8*0)($pDst)", $pB, $pA, $OP, $TMP); - push(@$X,shift(@$X)); - -$code.=<<___; - mov (+8*13)($pA), $OP -___ - &MULSTEP_512($X, "(+8*1)($pDst)", $pB, $OP, $TMP); - push(@$X,shift(@$X)); - -$code.=<<___; - mov (+8*14)($pA), $OP -___ - &MULSTEP_512($X, "(+8*2)($pDst)", $pB, $OP, $TMP); - push(@$X,shift(@$X)); - -$code.=<<___; - mov (+8*15)($pA), $OP -___ - &MULSTEP_512($X, "(+8*3)($pDst)", $pB, $OP, $TMP); - push(@$X,shift(@$X)); -} - -# -# mont_reduce(UINT64 *x, /* 1024 bits, 16 qwords */ -# UINT64 *m, /* 512 bits, 8 qwords */ -# MODF_2FOLD_MONT_512_C1_DATA *data, -# UINT64 *r) /* 512 bits, 8 qwords */ -# Input: x (number to be reduced): tmp16 (Implicit) -# m (modulus): [pM] (Implicit) -# data (reduce data): [pData] (Implicit) -# Output: r (result): Address in [red_res_addr] -# result also in: r9, r8, r15, r14, r13, r12, r11, r10 - -my @X=map("%r$_",(8..15)); - -$code.=<<___; -.type mont_reduce,\@abi-omnipotent -.align 16 -mont_reduce: -___ - -my $STACK_DEPTH = 8; - # - # X1 = Xh * M1 + Xl -$code.=<<___; - lea (+$Reduce_Data_offset+$X1_offset+$STACK_DEPTH)(%rsp), %rdi # pX1 (Dst) 769 bits, 13 qwords - mov (+$pData_offset+$STACK_DEPTH)(%rsp), %rsi # pM1 (Bsrc) 512 bits, 8 qwords - add \$$M1, %rsi - lea (+$tmp16_offset+$STACK_DEPTH)(%rsp), %rcx # X (Asrc) 1024 bits, 16 qwords - -___ - - &MULADD_256x512("%rdi", "%rcx", "%rsi", "%rbp", "%rbx", \@X); # rotates @X 4 times - # results in r11, r10, r9, r8, r15, r14, r13, r12, X1[3:0] - -$code.=<<___; - xor %rax, %rax - # X1 += xl - add (+8*8)(%rcx), $X[4] - adc (+8*9)(%rcx), $X[5] - adc (+8*10)(%rcx), $X[6] - adc (+8*11)(%rcx), $X[7] - adc \$0, %rax - # X1 is now rax, r11-r8, r15-r12, tmp16[3:0] - - # - # check for carry ;; carry stored in rax - mov $X[4], (+8*8)(%rdi) # rdi points to X1 - mov $X[5], (+8*9)(%rdi) - mov $X[6], %rbp - mov $X[7], (+8*11)(%rdi) - - mov %rax, (+$Reduce_Data_offset+$Carries_offset+$STACK_DEPTH)(%rsp) - - mov (+8*0)(%rdi), $X[4] - mov (+8*1)(%rdi), $X[5] - mov (+8*2)(%rdi), $X[6] - mov (+8*3)(%rdi), $X[7] - - # X1 is now stored in: X1[11], rbp, X1[9:8], r15-r8 - # rdi -> X1 - # rsi -> M1 - - # - # X2 = Xh * M2 + Xl - # do first part (X2 = Xh * M2) - add \$8*10, %rdi # rdi -> pXh ; 128 bits, 2 qwords - # Xh is actually { [rdi+8*1], rbp } - add \$`$M2-$M1`, %rsi # rsi -> M2 - lea (+$Reduce_Data_offset+$X2_offset+$STACK_DEPTH)(%rsp), %rcx # rcx -> pX2 ; 641 bits, 11 qwords -___ - unshift(@X,pop(@X)); unshift(@X,pop(@X)); -$code.=<<___; - - call MULADD_128x512 # args in rcx, rdi / rbp, rsi, r15-r8 - # result in r9, r8, r15, r14, r13, r12, r11, r10, X2[1:0] - mov (+$Reduce_Data_offset+$Carries_offset+$STACK_DEPTH)(%rsp), %rax - - # X2 += Xl - add (+8*8-8*10)(%rdi), $X[6] # (-8*10) is to adjust rdi -> Xh to Xl - adc (+8*9-8*10)(%rdi), $X[7] - mov $X[6], (+8*8)(%rcx) - mov $X[7], (+8*9)(%rcx) - - adc %rax, %rax - mov %rax, (+$Reduce_Data_offset+$Carries_offset+$STACK_DEPTH)(%rsp) - - lea (+$Reduce_Data_offset+$Q_offset+$STACK_DEPTH)(%rsp), %rdi # rdi -> pQ ; 128 bits, 2 qwords - add \$`$K1-$M2`, %rsi # rsi -> pK1 ; 128 bits, 2 qwords - - # MUL_128x128t128 rdi, rcx, rsi ; Q = X2 * K1 (bottom half) - # B1:B0 = rsi[1:0] = K1[1:0] - # A1:A0 = rcx[1:0] = X2[1:0] - # Result = rdi[1],rbp = Q[1],rbp - mov (%rsi), %r8 # B0 - mov (+8*1)(%rsi), %rbx # B1 - - mov (%rcx), %rax # A0 - mul %r8 # B0 - mov %rax, %rbp - mov %rdx, %r9 - - mov (+8*1)(%rcx), %rax # A1 - mul %r8 # B0 - add %rax, %r9 - - mov (%rcx), %rax # A0 - mul %rbx # B1 - add %rax, %r9 - - mov %r9, (+8*1)(%rdi) - # end MUL_128x128t128 - - sub \$`$K1-$M`, %rsi - - mov (%rcx), $X[6] - mov (+8*1)(%rcx), $X[7] # r9:r8 = X2[1:0] - - call MULADD_128x512 # args in rcx, rdi / rbp, rsi, r15-r8 - # result in r9, r8, r15, r14, r13, r12, r11, r10, X2[1:0] - - # load first half of m to rdx, rdi, rbx, rax - # moved this here for efficiency - mov (+8*0)(%rsi), %rax - mov (+8*1)(%rsi), %rbx - mov (+8*2)(%rsi), %rdi - mov (+8*3)(%rsi), %rdx - - # continue with reduction - mov (+$Reduce_Data_offset+$Carries_offset+$STACK_DEPTH)(%rsp), %rbp - - add (+8*8)(%rcx), $X[6] - adc (+8*9)(%rcx), $X[7] - - #accumulate the final carry to rbp - adc %rbp, %rbp - - # Add in overflow corrections: R = (X2>>128) += T[overflow] - # R = {r9, r8, r15, r14, ..., r10} - shl \$3, %rbp - mov (+$pData_offset+$STACK_DEPTH)(%rsp), %rcx # rsi -> Data (and points to T) - add %rcx, %rbp # pT ; 512 bits, 8 qwords, spread out - - # rsi will be used to generate a mask after the addition - xor %rsi, %rsi - - add (+8*8*0)(%rbp), $X[0] - adc (+8*8*1)(%rbp), $X[1] - adc (+8*8*2)(%rbp), $X[2] - adc (+8*8*3)(%rbp), $X[3] - adc (+8*8*4)(%rbp), $X[4] - adc (+8*8*5)(%rbp), $X[5] - adc (+8*8*6)(%rbp), $X[6] - adc (+8*8*7)(%rbp), $X[7] - - # if there is a carry: rsi = 0xFFFFFFFFFFFFFFFF - # if carry is clear: rsi = 0x0000000000000000 - sbb \$0, %rsi - - # if carry is clear, subtract 0. Otherwise, subtract 256 bits of m - and %rsi, %rax - and %rsi, %rbx - and %rsi, %rdi - and %rsi, %rdx - - mov \$1, %rbp - sub %rax, $X[0] - sbb %rbx, $X[1] - sbb %rdi, $X[2] - sbb %rdx, $X[3] - - # if there is a borrow: rbp = 0 - # if there is no borrow: rbp = 1 - # this is used to save the borrows in between the first half and the 2nd half of the subtraction of m - sbb \$0, %rbp - - #load second half of m to rdx, rdi, rbx, rax - - add \$$M, %rcx - mov (+8*4)(%rcx), %rax - mov (+8*5)(%rcx), %rbx - mov (+8*6)(%rcx), %rdi - mov (+8*7)(%rcx), %rdx - - # use the rsi mask as before - # if carry is clear, subtract 0. Otherwise, subtract 256 bits of m - and %rsi, %rax - and %rsi, %rbx - and %rsi, %rdi - and %rsi, %rdx - - # if rbp = 0, there was a borrow before, it is moved to the carry flag - # if rbp = 1, there was not a borrow before, carry flag is cleared - sub \$1, %rbp - - sbb %rax, $X[4] - sbb %rbx, $X[5] - sbb %rdi, $X[6] - sbb %rdx, $X[7] - - # write R back to memory - - mov (+$red_result_addr_offset+$STACK_DEPTH)(%rsp), %rsi - mov $X[0], (+8*0)(%rsi) - mov $X[1], (+8*1)(%rsi) - mov $X[2], (+8*2)(%rsi) - mov $X[3], (+8*3)(%rsi) - mov $X[4], (+8*4)(%rsi) - mov $X[5], (+8*5)(%rsi) - mov $X[6], (+8*6)(%rsi) - mov $X[7], (+8*7)(%rsi) - - ret -.size mont_reduce,.-mont_reduce -___ -}}} - -{{{ -#MUL_512x512 MACRO pDst, pA, pB, x7, x6, x5, x4, x3, x2, x1, x0, tmp*2 -# -# Inputs: pDst: Destination (1024 bits, 16 qwords) -# pA: Multiplicand (512 bits, 8 qwords) -# pB: Multiplicand (512 bits, 8 qwords) -# Uses registers rax, rdx, args -# B operand in [pB] and also in x7...x0 -sub MUL_512x512 -{ - my ($pDst, $pA, $pB, $x, $OP, $TMP, $pDst_o)=@_; - my ($pDst, $pDst_o) = ($pDst =~ m/([^+]*)\+?(.*)?/); - my @X=@$x; # make a copy - -$code.=<<___; - mov (+8*0)($pA), $OP - - mov $X[0], %rax - mul $OP # rdx:rax = %OP * [0] - mov %rax, (+$pDst_o+8*0)($pDst) - mov %rdx, $X[0] -___ -for(my $i=1;$i<8;$i++) { -$code.=<<___; - mov $X[$i], %rax - mul $OP # rdx:rax = %OP * [$i] - add %rax, $X[$i-1] - adc \$0, %rdx - mov %rdx, $X[$i] -___ -} - -for(my $i=1;$i<8;$i++) { -$code.=<<___; - mov (+8*$i)($pA), $OP -___ - - &MULSTEP_512(\@X, "(+$pDst_o+8*$i)($pDst)", $pB, $OP, $TMP); - push(@X,shift(@X)); -} - -$code.=<<___; - mov $X[0], (+$pDst_o+8*8)($pDst) - mov $X[1], (+$pDst_o+8*9)($pDst) - mov $X[2], (+$pDst_o+8*10)($pDst) - mov $X[3], (+$pDst_o+8*11)($pDst) - mov $X[4], (+$pDst_o+8*12)($pDst) - mov $X[5], (+$pDst_o+8*13)($pDst) - mov $X[6], (+$pDst_o+8*14)($pDst) - mov $X[7], (+$pDst_o+8*15)($pDst) -___ -} - -# -# mont_mul_a3b : subroutine to compute (Src1 * Src2) % M (all 512-bits) -# Input: src1: Address of source 1: rdi -# src2: Address of source 2: rsi -# Output: dst: Address of destination: [red_res_addr] -# src2 and result also in: r9, r8, r15, r14, r13, r12, r11, r10 -# Temp: Clobbers [tmp16], all registers -$code.=<<___; -.type mont_mul_a3b,\@abi-omnipotent -.align 16 -mont_mul_a3b: - # - # multiply tmp = src1 * src2 - # For multiply: dst = rcx, src1 = rdi, src2 = rsi - # stack depth is extra 8 from call -___ - &MUL_512x512("%rsp+$tmp16_offset+8", "%rdi", "%rsi", [map("%r$_",(10..15,8..9))], "%rbp", "%rbx"); -$code.=<<___; - # - # Dst = tmp % m - # Call reduce(tmp, m, data, dst) - - # tail recursion optimization: jmp to mont_reduce and return from there - jmp mont_reduce - # call mont_reduce - # ret -.size mont_mul_a3b,.-mont_mul_a3b -___ -}}} - -{{{ -#SQR_512 MACRO pDest, pA, x7, x6, x5, x4, x3, x2, x1, x0, tmp*4 -# -# Input in memory [pA] and also in x7...x0 -# Uses all argument registers plus rax and rdx -# -# This version computes all of the off-diagonal terms into memory, -# and then it adds in the diagonal terms - -sub SQR_512 -{ - my ($pDst, $pA, $x, $A, $tmp, $x7, $x6, $pDst_o)=@_; - my ($pDst, $pDst_o) = ($pDst =~ m/([^+]*)\+?(.*)?/); - my @X=@$x; # make a copy -$code.=<<___; - # ------------------ - # first pass 01...07 - # ------------------ - mov $X[0], $A - - mov $X[1],%rax - mul $A - mov %rax, (+$pDst_o+8*1)($pDst) -___ -for(my $i=2;$i<8;$i++) { -$code.=<<___; - mov %rdx, $X[$i-2] - mov $X[$i],%rax - mul $A - add %rax, $X[$i-2] - adc \$0, %rdx -___ -} -$code.=<<___; - mov %rdx, $x7 - - mov $X[0], (+$pDst_o+8*2)($pDst) - - # ------------------ - # second pass 12...17 - # ------------------ - - mov (+8*1)($pA), $A - - mov (+8*2)($pA),%rax - mul $A - add %rax, $X[1] - adc \$0, %rdx - mov $X[1], (+$pDst_o+8*3)($pDst) - - mov %rdx, $X[0] - mov (+8*3)($pA),%rax - mul $A - add %rax, $X[2] - adc \$0, %rdx - add $X[0], $X[2] - adc \$0, %rdx - mov $X[2], (+$pDst_o+8*4)($pDst) - - mov %rdx, $X[0] - mov (+8*4)($pA),%rax - mul $A - add %rax, $X[3] - adc \$0, %rdx - add $X[0], $X[3] - adc \$0, %rdx - - mov %rdx, $X[0] - mov (+8*5)($pA),%rax - mul $A - add %rax, $X[4] - adc \$0, %rdx - add $X[0], $X[4] - adc \$0, %rdx - - mov %rdx, $X[0] - mov $X[6],%rax - mul $A - add %rax, $X[5] - adc \$0, %rdx - add $X[0], $X[5] - adc \$0, %rdx - - mov %rdx, $X[0] - mov $X[7],%rax - mul $A - add %rax, $x7 - adc \$0, %rdx - add $X[0], $x7 - adc \$0, %rdx - - mov %rdx, $X[1] - - # ------------------ - # third pass 23...27 - # ------------------ - mov (+8*2)($pA), $A - - mov (+8*3)($pA),%rax - mul $A - add %rax, $X[3] - adc \$0, %rdx - mov $X[3], (+$pDst_o+8*5)($pDst) - - mov %rdx, $X[0] - mov (+8*4)($pA),%rax - mul $A - add %rax, $X[4] - adc \$0, %rdx - add $X[0], $X[4] - adc \$0, %rdx - mov $X[4], (+$pDst_o+8*6)($pDst) - - mov %rdx, $X[0] - mov (+8*5)($pA),%rax - mul $A - add %rax, $X[5] - adc \$0, %rdx - add $X[0], $X[5] - adc \$0, %rdx - - mov %rdx, $X[0] - mov $X[6],%rax - mul $A - add %rax, $x7 - adc \$0, %rdx - add $X[0], $x7 - adc \$0, %rdx - - mov %rdx, $X[0] - mov $X[7],%rax - mul $A - add %rax, $X[1] - adc \$0, %rdx - add $X[0], $X[1] - adc \$0, %rdx - - mov %rdx, $X[2] - - # ------------------ - # fourth pass 34...37 - # ------------------ - - mov (+8*3)($pA), $A - - mov (+8*4)($pA),%rax - mul $A - add %rax, $X[5] - adc \$0, %rdx - mov $X[5], (+$pDst_o+8*7)($pDst) - - mov %rdx, $X[0] - mov (+8*5)($pA),%rax - mul $A - add %rax, $x7 - adc \$0, %rdx - add $X[0], $x7 - adc \$0, %rdx - mov $x7, (+$pDst_o+8*8)($pDst) - - mov %rdx, $X[0] - mov $X[6],%rax - mul $A - add %rax, $X[1] - adc \$0, %rdx - add $X[0], $X[1] - adc \$0, %rdx - - mov %rdx, $X[0] - mov $X[7],%rax - mul $A - add %rax, $X[2] - adc \$0, %rdx - add $X[0], $X[2] - adc \$0, %rdx - - mov %rdx, $X[5] - - # ------------------ - # fifth pass 45...47 - # ------------------ - mov (+8*4)($pA), $A - - mov (+8*5)($pA),%rax - mul $A - add %rax, $X[1] - adc \$0, %rdx - mov $X[1], (+$pDst_o+8*9)($pDst) - - mov %rdx, $X[0] - mov $X[6],%rax - mul $A - add %rax, $X[2] - adc \$0, %rdx - add $X[0], $X[2] - adc \$0, %rdx - mov $X[2], (+$pDst_o+8*10)($pDst) - - mov %rdx, $X[0] - mov $X[7],%rax - mul $A - add %rax, $X[5] - adc \$0, %rdx - add $X[0], $X[5] - adc \$0, %rdx - - mov %rdx, $X[1] - - # ------------------ - # sixth pass 56...57 - # ------------------ - mov (+8*5)($pA), $A - - mov $X[6],%rax - mul $A - add %rax, $X[5] - adc \$0, %rdx - mov $X[5], (+$pDst_o+8*11)($pDst) - - mov %rdx, $X[0] - mov $X[7],%rax - mul $A - add %rax, $X[1] - adc \$0, %rdx - add $X[0], $X[1] - adc \$0, %rdx - mov $X[1], (+$pDst_o+8*12)($pDst) - - mov %rdx, $X[2] - - # ------------------ - # seventh pass 67 - # ------------------ - mov $X[6], $A - - mov $X[7],%rax - mul $A - add %rax, $X[2] - adc \$0, %rdx - mov $X[2], (+$pDst_o+8*13)($pDst) - - mov %rdx, (+$pDst_o+8*14)($pDst) - - # start finalize (add in squares, and double off-terms) - mov (+$pDst_o+8*1)($pDst), $X[0] - mov (+$pDst_o+8*2)($pDst), $X[1] - mov (+$pDst_o+8*3)($pDst), $X[2] - mov (+$pDst_o+8*4)($pDst), $X[3] - mov (+$pDst_o+8*5)($pDst), $X[4] - mov (+$pDst_o+8*6)($pDst), $X[5] - - mov (+8*3)($pA), %rax - mul %rax - mov %rax, $x6 - mov %rdx, $X[6] - - add $X[0], $X[0] - adc $X[1], $X[1] - adc $X[2], $X[2] - adc $X[3], $X[3] - adc $X[4], $X[4] - adc $X[5], $X[5] - adc \$0, $X[6] - - mov (+8*0)($pA), %rax - mul %rax - mov %rax, (+$pDst_o+8*0)($pDst) - mov %rdx, $A - - mov (+8*1)($pA), %rax - mul %rax - - add $A, $X[0] - adc %rax, $X[1] - adc \$0, %rdx - - mov %rdx, $A - mov $X[0], (+$pDst_o+8*1)($pDst) - mov $X[1], (+$pDst_o+8*2)($pDst) - - mov (+8*2)($pA), %rax - mul %rax - - add $A, $X[2] - adc %rax, $X[3] - adc \$0, %rdx - - mov %rdx, $A - - mov $X[2], (+$pDst_o+8*3)($pDst) - mov $X[3], (+$pDst_o+8*4)($pDst) - - xor $tmp, $tmp - add $A, $X[4] - adc $x6, $X[5] - adc \$0, $tmp - - mov $X[4], (+$pDst_o+8*5)($pDst) - mov $X[5], (+$pDst_o+8*6)($pDst) - - # %%tmp has 0/1 in column 7 - # %%A6 has a full value in column 7 - - mov (+$pDst_o+8*7)($pDst), $X[0] - mov (+$pDst_o+8*8)($pDst), $X[1] - mov (+$pDst_o+8*9)($pDst), $X[2] - mov (+$pDst_o+8*10)($pDst), $X[3] - mov (+$pDst_o+8*11)($pDst), $X[4] - mov (+$pDst_o+8*12)($pDst), $X[5] - mov (+$pDst_o+8*13)($pDst), $x6 - mov (+$pDst_o+8*14)($pDst), $x7 - - mov $X[7], %rax - mul %rax - mov %rax, $X[7] - mov %rdx, $A - - add $X[0], $X[0] - adc $X[1], $X[1] - adc $X[2], $X[2] - adc $X[3], $X[3] - adc $X[4], $X[4] - adc $X[5], $X[5] - adc $x6, $x6 - adc $x7, $x7 - adc \$0, $A - - add $tmp, $X[0] - - mov (+8*4)($pA), %rax - mul %rax - - add $X[6], $X[0] - adc %rax, $X[1] - adc \$0, %rdx - - mov %rdx, $tmp - - mov $X[0], (+$pDst_o+8*7)($pDst) - mov $X[1], (+$pDst_o+8*8)($pDst) - - mov (+8*5)($pA), %rax - mul %rax - - add $tmp, $X[2] - adc %rax, $X[3] - adc \$0, %rdx - - mov %rdx, $tmp - - mov $X[2], (+$pDst_o+8*9)($pDst) - mov $X[3], (+$pDst_o+8*10)($pDst) - - mov (+8*6)($pA), %rax - mul %rax - - add $tmp, $X[4] - adc %rax, $X[5] - adc \$0, %rdx - - mov $X[4], (+$pDst_o+8*11)($pDst) - mov $X[5], (+$pDst_o+8*12)($pDst) - - add %rdx, $x6 - adc $X[7], $x7 - adc \$0, $A - - mov $x6, (+$pDst_o+8*13)($pDst) - mov $x7, (+$pDst_o+8*14)($pDst) - mov $A, (+$pDst_o+8*15)($pDst) -___ -} - -# -# sqr_reduce: subroutine to compute Result = reduce(Result * Result) -# -# input and result also in: r9, r8, r15, r14, r13, r12, r11, r10 -# -$code.=<<___; -.type sqr_reduce,\@abi-omnipotent -.align 16 -sqr_reduce: - mov (+$pResult_offset+8)(%rsp), %rcx -___ - &SQR_512("%rsp+$tmp16_offset+8", "%rcx", [map("%r$_",(10..15,8..9))], "%rbx", "%rbp", "%rsi", "%rdi"); -$code.=<<___; - # tail recursion optimization: jmp to mont_reduce and return from there - jmp mont_reduce - # call mont_reduce - # ret -.size sqr_reduce,.-sqr_reduce -___ -}}} - -# -# MAIN FUNCTION -# - -#mod_exp_512(UINT64 *result, /* 512 bits, 8 qwords */ -# UINT64 *g, /* 512 bits, 8 qwords */ -# UINT64 *exp, /* 512 bits, 8 qwords */ -# struct mod_ctx_512 *data) - -# window size = 5 -# table size = 2^5 = 32 -#table_entries equ 32 -#table_size equ table_entries * 8 -$code.=<<___; -.globl mod_exp_512 -.type mod_exp_512,\@function,4 -mod_exp_512: - push %rbp - push %rbx - push %r12 - push %r13 - push %r14 - push %r15 - - # adjust stack down and then align it with cache boundary - mov %rsp, %r8 - sub \$$mem_size, %rsp - and \$-64, %rsp - - # store previous stack pointer and arguments - mov %r8, (+$rsp_offset)(%rsp) - mov %rdi, (+$pResult_offset)(%rsp) - mov %rsi, (+$pG_offset)(%rsp) - mov %rcx, (+$pData_offset)(%rsp) -.Lbody: - # transform g into montgomery space - # GT = reduce(g * C2) = reduce(g * (2^256)) - # reduce expects to have the input in [tmp16] - pxor %xmm4, %xmm4 - movdqu (+16*0)(%rsi), %xmm0 - movdqu (+16*1)(%rsi), %xmm1 - movdqu (+16*2)(%rsi), %xmm2 - movdqu (+16*3)(%rsi), %xmm3 - movdqa %xmm4, (+$tmp16_offset+16*0)(%rsp) - movdqa %xmm4, (+$tmp16_offset+16*1)(%rsp) - movdqa %xmm4, (+$tmp16_offset+16*6)(%rsp) - movdqa %xmm4, (+$tmp16_offset+16*7)(%rsp) - movdqa %xmm0, (+$tmp16_offset+16*2)(%rsp) - movdqa %xmm1, (+$tmp16_offset+16*3)(%rsp) - movdqa %xmm2, (+$tmp16_offset+16*4)(%rsp) - movdqa %xmm3, (+$tmp16_offset+16*5)(%rsp) - - # load pExp before rdx gets blown away - movdqu (+16*0)(%rdx), %xmm0 - movdqu (+16*1)(%rdx), %xmm1 - movdqu (+16*2)(%rdx), %xmm2 - movdqu (+16*3)(%rdx), %xmm3 - - lea (+$GT_offset)(%rsp), %rbx - mov %rbx, (+$red_result_addr_offset)(%rsp) - call mont_reduce - - # Initialize tmp = C - lea (+$tmp_offset)(%rsp), %rcx - xor %rax, %rax - mov %rax, (+8*0)(%rcx) - mov %rax, (+8*1)(%rcx) - mov %rax, (+8*3)(%rcx) - mov %rax, (+8*4)(%rcx) - mov %rax, (+8*5)(%rcx) - mov %rax, (+8*6)(%rcx) - mov %rax, (+8*7)(%rcx) - mov %rax, (+$exp_offset+8*8)(%rsp) - movq \$1, (+8*2)(%rcx) - - lea (+$garray_offset)(%rsp), %rbp - mov %rcx, %rsi # pTmp - mov %rbp, %rdi # Garray[][0] -___ - - &swizzle("%rdi", "%rcx", "%rax", "%rbx"); - - # for (rax = 31; rax != 0; rax--) { - # tmp = reduce(tmp * G) - # swizzle(pg, tmp); - # pg += 2; } -$code.=<<___; - mov \$31, %rax - mov %rax, (+$i_offset)(%rsp) - mov %rbp, (+$pg_offset)(%rsp) - # rsi -> pTmp - mov %rsi, (+$red_result_addr_offset)(%rsp) - mov (+8*0)(%rsi), %r10 - mov (+8*1)(%rsi), %r11 - mov (+8*2)(%rsi), %r12 - mov (+8*3)(%rsi), %r13 - mov (+8*4)(%rsi), %r14 - mov (+8*5)(%rsi), %r15 - mov (+8*6)(%rsi), %r8 - mov (+8*7)(%rsi), %r9 -init_loop: - lea (+$GT_offset)(%rsp), %rdi - call mont_mul_a3b - lea (+$tmp_offset)(%rsp), %rsi - mov (+$pg_offset)(%rsp), %rbp - add \$2, %rbp - mov %rbp, (+$pg_offset)(%rsp) - mov %rsi, %rcx # rcx = rsi = addr of tmp -___ - - &swizzle("%rbp", "%rcx", "%rax", "%rbx"); -$code.=<<___; - mov (+$i_offset)(%rsp), %rax - sub \$1, %rax - mov %rax, (+$i_offset)(%rsp) - jne init_loop - - # - # Copy exponent onto stack - movdqa %xmm0, (+$exp_offset+16*0)(%rsp) - movdqa %xmm1, (+$exp_offset+16*1)(%rsp) - movdqa %xmm2, (+$exp_offset+16*2)(%rsp) - movdqa %xmm3, (+$exp_offset+16*3)(%rsp) - - - # - # Do exponentiation - # Initialize result to G[exp{511:507}] - mov (+$exp_offset+62)(%rsp), %eax - mov %rax, %rdx - shr \$11, %rax - and \$0x07FF, %edx - mov %edx, (+$exp_offset+62)(%rsp) - lea (+$garray_offset)(%rsp,%rax,2), %rsi - mov (+$pResult_offset)(%rsp), %rdx -___ - - &unswizzle("%rdx", "%rsi", "%rbp", "%rbx", "%rax"); - - # - # Loop variables - # rcx = [loop_idx] = index: 510-5 to 0 by 5 -$code.=<<___; - movq \$505, (+$loop_idx_offset)(%rsp) - - mov (+$pResult_offset)(%rsp), %rcx - mov %rcx, (+$red_result_addr_offset)(%rsp) - mov (+8*0)(%rcx), %r10 - mov (+8*1)(%rcx), %r11 - mov (+8*2)(%rcx), %r12 - mov (+8*3)(%rcx), %r13 |