From 4d3fa06fce52682bfbc503c7ded2d0289e3f8cde Mon Sep 17 00:00:00 2001 From: Andy Polyakov Date: Fri, 12 Sep 2014 00:37:41 +0200 Subject: [PATCH] Add ECP_NISTZ256 by Shay Gueron, Intel Corp. RT: 3149 Reviewed-by: Rich Salz --- crypto/ec/Makefile | 6 + crypto/ec/asm/ecp_nistz256-avx2.pl | 2093 ++++++ crypto/ec/asm/ecp_nistz256-x86_64.pl | 3092 +++++++++ crypto/ec/ec.h | 5 + crypto/ec/ec_curve.c | 10 +- crypto/ec/ec_err.c | 7 +- crypto/ec/ecp_nistz256.c | 1458 ++++ crypto/ec/ecp_nistz256_table.c | 9534 ++++++++++++++++++++++++++ 8 files changed, 16201 insertions(+), 4 deletions(-) create mode 100755 crypto/ec/asm/ecp_nistz256-avx2.pl create mode 100755 crypto/ec/asm/ecp_nistz256-x86_64.pl create mode 100644 crypto/ec/ecp_nistz256.c create mode 100644 crypto/ec/ecp_nistz256_table.c diff --git a/crypto/ec/Makefile b/crypto/ec/Makefile index 50cda66bd4..898e43dc37 100644 --- a/crypto/ec/Makefile +++ b/crypto/ec/Makefile @@ -48,6 +48,12 @@ lib: $(LIBOBJ) $(RANLIB) $(LIB) || echo Never mind. @touch lib +ecp_nistz256-x86_64.s: asm/ecp_nistz256-x86_64.pl + $(PERL) asm/ecp_nistz256-x86_64.pl $(PERLASM_SCHEME) > $@ + +ecp_nistz256-avx2.s: asm/ecp_nistz256-avx2.pl + $(PERL) asm/ecp_nistz256-avx2.pl $(PERLASM_SCHEME) > $@ + files: $(PERL) $(TOP)/util/files.pl Makefile >> $(TOP)/MINFO diff --git a/crypto/ec/asm/ecp_nistz256-avx2.pl b/crypto/ec/asm/ecp_nistz256-avx2.pl new file mode 100755 index 0000000000..4c220aa645 --- /dev/null +++ b/crypto/ec/asm/ecp_nistz256-avx2.pl @@ -0,0 +1,2093 @@ +#!/usr/bin/env perl + +############################################################################## +# # +# Copyright 2014 Intel Corporation # +# # +# Licensed under the Apache License, Version 2.0 (the "License"); # +# you may not use this file except in compliance with the License. # +# You may obtain a copy of the License at # +# # +# http://www.apache.org/licenses/LICENSE-2.0 # +# # +# Unless required by applicable law or agreed to in writing, software # +# distributed under the License is distributed on an "AS IS" BASIS, # +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # +# See the License for the specific language governing permissions and # +# limitations under the License. # +# # +############################################################################## +# # +# Developers and authors: # +# Shay Gueron (1, 2), and Vlad Krasnov (1) # +# (1) Intel Corporation, Israel Development Center # +# (2) University of Haifa # +# Reference: # +# S.Gueron and V.Krasnov, "Fast Prime Field Elliptic Curve Cryptography with# +# 256 Bit Primes" # +# # +############################################################################## + +$flavour = shift; +$output = shift; +if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } + +$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 $output"; +*STDOUT=*OUT; + +if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1` + =~ /GNU assembler version ([2-9]\.[0-9]+)/) { + $avx = ($1>=2.19) + ($1>=2.22); + $addx = ($1>=2.23); +} + +if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) && + `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) { + $avx = ($1>=2.09) + ($1>=2.10); + $addx = ($1>=2.10); +} + +if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) && + `ml64 2>&1` =~ /Version ([0-9]+)\./) { + $avx = ($1>=10) + ($1>=11); + $addx = ($1>=12); +} + +if (!$addx && `$ENV{CC} -v 2>&1` =~ /(^clang version|based on LLVM) ([3-9])\.([0-9]+)/) { + my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10 + $avx = ($ver>=3.0) + ($ver>=3.01); + $addx = ($ver>=3.03); +} + +if ($avx>=2) {{ +$digit_size = "\$29"; +$n_digits = "\$9"; + +$code.=<<___; +.text + +.align 64 +.LAVX2_AND_MASK: +.LAVX2_POLY: +.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff +.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff +.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff +.quad 0x000001ff, 0x000001ff, 0x000001ff, 0x000001ff +.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000 +.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000 +.quad 0x00040000, 0x00040000, 0x00040000, 0x00040000 +.quad 0x1fe00000, 0x1fe00000, 0x1fe00000, 0x1fe00000 +.quad 0x00ffffff, 0x00ffffff, 0x00ffffff, 0x00ffffff + +.LAVX2_POLY_x2: +.quad 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC +.quad 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC +.quad 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC +.quad 0x400007FC, 0x400007FC, 0x400007FC, 0x400007FC +.quad 0x3FFFFFFE, 0x3FFFFFFE, 0x3FFFFFFE, 0x3FFFFFFE +.quad 0x3FFFFFFE, 0x3FFFFFFE, 0x3FFFFFFE, 0x3FFFFFFE +.quad 0x400FFFFE, 0x400FFFFE, 0x400FFFFE, 0x400FFFFE +.quad 0x7F7FFFFE, 0x7F7FFFFE, 0x7F7FFFFE, 0x7F7FFFFE +.quad 0x03FFFFFC, 0x03FFFFFC, 0x03FFFFFC, 0x03FFFFFC + +.LAVX2_POLY_x8: +.quad 0xFFFFFFF8, 0xFFFFFFF8, 0xFFFFFFF8, 0xFFFFFFF8 +.quad 0xFFFFFFF8, 0xFFFFFFF8, 0xFFFFFFF8, 0xFFFFFFF8 +.quad 0xFFFFFFF8, 0xFFFFFFF8, 0xFFFFFFF8, 0xFFFFFFF8 +.quad 0x80000FF8, 0x80000FF8, 0x80000FF8, 0x80000FF8 +.quad 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC +.quad 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC, 0x7FFFFFFC +.quad 0x801FFFFC, 0x801FFFFC, 0x801FFFFC, 0x801FFFFC +.quad 0xFEFFFFFC, 0xFEFFFFFC, 0xFEFFFFFC, 0xFEFFFFFC +.quad 0x07FFFFF8, 0x07FFFFF8, 0x07FFFFF8, 0x07FFFFF8 + +.LONE: +.quad 0x00000020, 0x00000020, 0x00000020, 0x00000020 +.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000 +.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000 +.quad 0x1fffc000, 0x1fffc000, 0x1fffc000, 0x1fffc000 +.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff +.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff +.quad 0x1f7fffff, 0x1f7fffff, 0x1f7fffff, 0x1f7fffff +.quad 0x03ffffff, 0x03ffffff, 0x03ffffff, 0x03ffffff +.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000 + +# RR = 2^266 mod p in AVX2 format, to transform from the native OpenSSL +# Montgomery form (*2^256) to our format (*2^261) + +.LTO_MONT_AVX2: +.quad 0x00000400, 0x00000400, 0x00000400, 0x00000400 +.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000 +.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000 +.quad 0x1ff80000, 0x1ff80000, 0x1ff80000, 0x1ff80000 +.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff +.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff +.quad 0x0fffffff, 0x0fffffff, 0x0fffffff, 0x0fffffff +.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff +.quad 0x00000003, 0x00000003, 0x00000003, 0x00000003 + +.LFROM_MONT_AVX2: +.quad 0x00000001, 0x00000001, 0x00000001, 0x00000001 +.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000 +.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000 +.quad 0x1ffffe00, 0x1ffffe00, 0x1ffffe00, 0x1ffffe00 +.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff +.quad 0x1fffffff, 0x1fffffff, 0x1fffffff, 0x1fffffff +.quad 0x1ffbffff, 0x1ffbffff, 0x1ffbffff, 0x1ffbffff +.quad 0x001fffff, 0x001fffff, 0x001fffff, 0x001fffff +.quad 0x00000000, 0x00000000, 0x00000000, 0x00000000 + +.LIntOne: +.long 1,1,1,1,1,1,1,1 +___ + +{ +# This function recieves a pointer to an array of four affine points +# (X, Y, <1>) and rearanges the data for AVX2 execution, while +# converting it to 2^29 radix redundant form + +my ($X0,$X1,$X2,$X3, $Y0,$Y1,$Y2,$Y3, + $T0,$T1,$T2,$T3, $T4,$T5,$T6,$T7)=map("%ymm$_",(0..15)); + +$code.=<<___; +.globl ecp_nistz256_avx2_transpose_convert +.type ecp_nistz256_avx2_transpose_convert,\@function,2 +.align 64 +ecp_nistz256_avx2_transpose_convert: + vzeroupper +___ +$code.=<<___ if ($win64); + lea -8-16*10(%rsp), %rsp + vmovaps %xmm6, -8-16*10(%rax) + vmovaps %xmm7, -8-16*9(%rax) + vmovaps %xmm8, -8-16*8(%rax) + vmovaps %xmm9, -8-16*7(%rax) + vmovaps %xmm10, -8-16*6(%rax) + vmovaps %xmm11, -8-16*5(%rax) + vmovaps %xmm12, -8-16*4(%rax) + vmovaps %xmm13, -8-16*3(%rax) + vmovaps %xmm14, -8-16*2(%rax) + vmovaps %xmm15, -8-16*1(%rax) +___ +$code.=<<___; + # Load the data + vmovdqa 32*0(%rsi), $X0 + lea 112(%rsi), %rax # size optimization + vmovdqa 32*1(%rsi), $Y0 + lea .LAVX2_AND_MASK(%rip), %rdx + vmovdqa 32*2(%rsi), $X1 + vmovdqa 32*3(%rsi), $Y1 + vmovdqa 32*4-112(%rax), $X2 + vmovdqa 32*5-112(%rax), $Y2 + vmovdqa 32*6-112(%rax), $X3 + vmovdqa 32*7-112(%rax), $Y3 + + # Transpose X and Y independently + vpunpcklqdq $X1, $X0, $T0 # T0 = [B2 A2 B0 A0] + vpunpcklqdq $X3, $X2, $T1 # T1 = [D2 C2 D0 C0] + vpunpckhqdq $X1, $X0, $T2 # T2 = [B3 A3 B1 A1] + vpunpckhqdq $X3, $X2, $T3 # T3 = [D3 C3 D1 C1] + + vpunpcklqdq $Y1, $Y0, $T4 + vpunpcklqdq $Y3, $Y2, $T5 + vpunpckhqdq $Y1, $Y0, $T6 + vpunpckhqdq $Y3, $Y2, $T7 + + vperm2i128 \$0x20, $T1, $T0, $X0 # X0 = [D0 C0 B0 A0] + vperm2i128 \$0x20, $T3, $T2, $X1 # X1 = [D1 C1 B1 A1] + vperm2i128 \$0x31, $T1, $T0, $X2 # X2 = [D2 C2 B2 A2] + vperm2i128 \$0x31, $T3, $T2, $X3 # X3 = [D3 C3 B3 A3] + + vperm2i128 \$0x20, $T5, $T4, $Y0 + vperm2i128 \$0x20, $T7, $T6, $Y1 + vperm2i128 \$0x31, $T5, $T4, $Y2 + vperm2i128 \$0x31, $T7, $T6, $Y3 + vmovdqa (%rdx), $T7 + + vpand (%rdx), $X0, $T0 # out[0] = in[0] & mask; + vpsrlq \$29, $X0, $X0 + vpand $T7, $X0, $T1 # out[1] = (in[0] >> shift) & mask; + vpsrlq \$29, $X0, $X0 + vpsllq \$6, $X1, $T2 + vpxor $X0, $T2, $T2 + vpand $T7, $T2, $T2 # out[2] = ((in[0] >> (shift*2)) ^ (in[1] << (64-shift*2))) & mask; + vpsrlq \$23, $X1, $X1 + vpand $T7, $X1, $T3 # out[3] = (in[1] >> ((shift*3)%64)) & mask; + vpsrlq \$29, $X1, $X1 + vpsllq \$12, $X2, $T4 + vpxor $X1, $T4, $T4 + vpand $T7, $T4, $T4 # out[4] = ((in[1] >> ((shift*4)%64)) ^ (in[2] << (64*2-shift*4))) & mask; + vpsrlq \$17, $X2, $X2 + vpand $T7, $X2, $T5 # out[5] = (in[2] >> ((shift*5)%64)) & mask; + vpsrlq \$29, $X2, $X2 + vpsllq \$18, $X3, $T6 + vpxor $X2, $T6, $T6 + vpand $T7, $T6, $T6 # out[6] = ((in[2] >> ((shift*6)%64)) ^ (in[3] << (64*3-shift*6))) & mask; + vpsrlq \$11, $X3, $X3 + vmovdqa $T0, 32*0(%rdi) + lea 112(%rdi), %rax # size optimization + vpand $T7, $X3, $T0 # out[7] = (in[3] >> ((shift*7)%64)) & mask; + vpsrlq \$29, $X3, $X3 # out[8] = (in[3] >> ((shift*8)%64)) & mask; + + vmovdqa $T1, 32*1(%rdi) + vmovdqa $T2, 32*2(%rdi) + vmovdqa $T3, 32*3(%rdi) + vmovdqa $T4, 32*4-112(%rax) + vmovdqa $T5, 32*5-112(%rax) + vmovdqa $T6, 32*6-112(%rax) + vmovdqa $T0, 32*7-112(%rax) + vmovdqa $X3, 32*8-112(%rax) + lea 448(%rdi), %rax # size optimization + + vpand $T7, $Y0, $T0 # out[0] = in[0] & mask; + vpsrlq \$29, $Y0, $Y0 + vpand $T7, $Y0, $T1 # out[1] = (in[0] >> shift) & mask; + vpsrlq \$29, $Y0, $Y0 + vpsllq \$6, $Y1, $T2 + vpxor $Y0, $T2, $T2 + vpand $T7, $T2, $T2 # out[2] = ((in[0] >> (shift*2)) ^ (in[1] << (64-shift*2))) & mask; + vpsrlq \$23, $Y1, $Y1 + vpand $T7, $Y1, $T3 # out[3] = (in[1] >> ((shift*3)%64)) & mask; + vpsrlq \$29, $Y1, $Y1 + vpsllq \$12, $Y2, $T4 + vpxor $Y1, $T4, $T4 + vpand $T7, $T4, $T4 # out[4] = ((in[1] >> ((shift*4)%64)) ^ (in[2] << (64*2-shift*4))) & mask; + vpsrlq \$17, $Y2, $Y2 + vpand $T7, $Y2, $T5 # out[5] = (in[2] >> ((shift*5)%64)) & mask; + vpsrlq \$29, $Y2, $Y2 + vpsllq \$18, $Y3, $T6 + vpxor $Y2, $T6, $T6 + vpand $T7, $T6, $T6 # out[6] = ((in[2] >> ((shift*6)%64)) ^ (in[3] << (64*3-shift*6))) & mask; + vpsrlq \$11, $Y3, $Y3 + vmovdqa $T0, 32*9-448(%rax) + vpand $T7, $Y3, $T0 # out[7] = (in[3] >> ((shift*7)%64)) & mask; + vpsrlq \$29, $Y3, $Y3 # out[8] = (in[3] >> ((shift*8)%64)) & mask; + + vmovdqa $T1, 32*10-448(%rax) + vmovdqa $T2, 32*11-448(%rax) + vmovdqa $T3, 32*12-448(%rax) + vmovdqa $T4, 32*13-448(%rax) + vmovdqa $T5, 32*14-448(%rax) + vmovdqa $T6, 32*15-448(%rax) + vmovdqa $T0, 32*16-448(%rax) + vmovdqa $Y3, 32*17-448(%rax) + + vzeroupper +___ +$code.=<<___ if ($win64); + movaps 16*0(%rsp), %xmm6 + movaps 16*1(%rsp), %xmm7 + movaps 16*2(%rsp), %xmm8 + movaps 16*3(%rsp), %xmm9 + movaps 16*4(%rsp), %xmm10 + movaps 16*5(%rsp), %xmm11 + movaps 16*6(%rsp), %xmm12 + movaps 16*7(%rsp), %xmm13 + movaps 16*8(%rsp), %xmm14 + movaps 16*9(%rsp), %xmm15 + lea 8+16*10(%rsp), %rsp +___ +$code.=<<___; + ret +.size ecp_nistz256_avx2_transpose_convert,.-ecp_nistz256_avx2_transpose_convert +___ +} +{ +################################################################################ +# This function recieves a pointer to an array of four AVX2 formatted points +# (X, Y, Z) convert the data to normal representation, and rearanges the data + +my ($D0,$D1,$D2,$D3, $D4,$D5,$D6,$D7, $D8)=map("%ymm$_",(0..8)); +my ($T0,$T1,$T2,$T3, $T4,$T5,$T6)=map("%ymm$_",(9..15)); + +$code.=<<___; + +.globl ecp_nistz256_avx2_convert_transpose_back +.type ecp_nistz256_avx2_convert_transpose_back,\@function,2 +.align 32 +ecp_nistz256_avx2_convert_transpose_back: + vzeroupper +___ +$code.=<<___ if ($win64); + lea -8-16*10(%rsp), %rsp + vmovaps %xmm6, -8-16*10(%rax) + vmovaps %xmm7, -8-16*9(%rax) + vmovaps %xmm8, -8-16*8(%rax) + vmovaps %xmm9, -8-16*7(%rax) + vmovaps %xmm10, -8-16*6(%rax) + vmovaps %xmm11, -8-16*5(%rax) + vmovaps %xmm12, -8-16*4(%rax) + vmovaps %xmm13, -8-16*3(%rax) + vmovaps %xmm14, -8-16*2(%rax) + vmovaps %xmm15, -8-16*1(%rax) +___ +$code.=<<___; + mov \$3, %ecx + +.Lconv_loop: + vmovdqa 32*0(%rsi), $D0 + lea 160(%rsi), %rax # size optimization + vmovdqa 32*1(%rsi), $D1 + vmovdqa 32*2(%rsi), $D2 + vmovdqa 32*3(%rsi), $D3 + vmovdqa 32*4-160(%rax), $D4 + vmovdqa 32*5-160(%rax), $D5 + vmovdqa 32*6-160(%rax), $D6 + vmovdqa 32*7-160(%rax), $D7 + vmovdqa 32*8-160(%rax), $D8 + + vpsllq \$29, $D1, $D1 + vpsllq \$58, $D2, $T0 + vpaddq $D1, $D0, $D0 + vpaddq $T0, $D0, $D0 # out[0] = (in[0]) ^ (in[1] << shift*1) ^ (in[2] << shift*2); + + vpsrlq \$6, $D2, $D2 + vpsllq \$23, $D3, $D3 + vpsllq \$52, $D4, $T1 + vpaddq $D2, $D3, $D3 + vpaddq $D3, $T1, $D1 # out[1] = (in[2] >> (64*1-shift*2)) ^ (in[3] << shift*3%64) ^ (in[4] << shift*4%64); + + vpsrlq \$12, $D4, $D4 + vpsllq \$17, $D5, $D5 + vpsllq \$46, $D6, $T2 + vpaddq $D4, $D5, $D5 + vpaddq $D5, $T2, $D2 # out[2] = (in[4] >> (64*2-shift*4)) ^ (in[5] << shift*5%64) ^ (in[6] << shift*6%64); + + vpsrlq \$18, $D6, $D6 + vpsllq \$11, $D7, $D7 + vpsllq \$40, $D8, $T3 + vpaddq $D6, $D7, $D7 + vpaddq $D7, $T3, $D3 # out[3] = (in[6] >> (64*3-shift*6)) ^ (in[7] << shift*7%64) ^ (in[8] << shift*8%64); + + vpunpcklqdq $D1, $D0, $T0 # T0 = [B2 A2 B0 A0] + vpunpcklqdq $D3, $D2, $T1 # T1 = [D2 C2 D0 C0] + vpunpckhqdq $D1, $D0, $T2 # T2 = [B3 A3 B1 A1] + vpunpckhqdq $D3, $D2, $T3 # T3 = [D3 C3 D1 C1] + + vperm2i128 \$0x20, $T1, $T0, $D0 # X0 = [D0 C0 B0 A0] + vperm2i128 \$0x20, $T3, $T2, $D1 # X1 = [D1 C1 B1 A1] + vperm2i128 \$0x31, $T1, $T0, $D2 # X2 = [D2 C2 B2 A2] + vperm2i128 \$0x31, $T3, $T2, $D3 # X3 = [D3 C3 B3 A3] + + vmovdqa $D0, 32*0(%rdi) + vmovdqa $D1, 32*3(%rdi) + vmovdqa $D2, 32*6(%rdi) + vmovdqa $D3, 32*9(%rdi) + + lea 32*9(%rsi), %rsi + lea 32*1(%rdi), %rdi + + dec %ecx + jnz .Lconv_loop + + vzeroupper +___ +$code.=<<___ if ($win64); + movaps 16*0(%rsp), %xmm6 + movaps 16*1(%rsp), %xmm7 + movaps 16*2(%rsp), %xmm8 + movaps 16*3(%rsp), %xmm9 + movaps 16*4(%rsp), %xmm10 + movaps 16*5(%rsp), %xmm11 + movaps 16*6(%rsp), %xmm12 + movaps 16*7(%rsp), %xmm13 + movaps 16*8(%rsp), %xmm14 + movaps 16*9(%rsp), %xmm15 + lea 8+16*10(%rsp), %rsp +___ +$code.=<<___; + ret +.size ecp_nistz256_avx2_convert_transpose_back,.-ecp_nistz256_avx2_convert_transpose_back +___ +} +{ +my ($r_ptr,$a_ptr,$b_ptr,$itr)=("%rdi","%rsi","%rdx","%ecx"); +my ($ACC0,$ACC1,$ACC2,$ACC3,$ACC4,$ACC5,$ACC6,$ACC7,$ACC8)=map("%ymm$_",(0..8)); +my ($B,$Y,$T0,$AND_MASK,$OVERFLOW)=map("%ymm$_",(9..13)); + +sub NORMALIZE { +my $ret=<<___; + vpsrlq $digit_size, $ACC0, $T0 + vpand $AND_MASK, $ACC0, $ACC0 + vpaddq $T0, $ACC1, $ACC1 + + vpsrlq $digit_size, $ACC1, $T0 + vpand $AND_MASK, $ACC1, $ACC1 + vpaddq $T0, $ACC2, $ACC2 + + vpsrlq $digit_size, $ACC2, $T0 + vpand $AND_MASK, $ACC2, $ACC2 + vpaddq $T0, $ACC3, $ACC3 + + vpsrlq $digit_size, $ACC3, $T0 + vpand $AND_MASK, $ACC3, $ACC3 + vpaddq $T0, $ACC4, $ACC4 + + vpsrlq $digit_size, $ACC4, $T0 + vpand $AND_MASK, $ACC4, $ACC4 + vpaddq $T0, $ACC5, $ACC5 + + vpsrlq $digit_size, $ACC5, $T0 + vpand $AND_MASK, $ACC5, $ACC5 + vpaddq $T0, $ACC6, $ACC6 + + vpsrlq $digit_size, $ACC6, $T0 + vpand $AND_MASK, $ACC6, $ACC6 + vpaddq $T0, $ACC7, $ACC7 + + vpsrlq $digit_size, $ACC7, $T0 + vpand $AND_MASK, $ACC7, $ACC7 + vpaddq $T0, $ACC8, $ACC8 + #vpand $AND_MASK, $ACC8, $ACC8 +___ + $ret; +} + +sub STORE { +my $ret=<<___; + vmovdqa $ACC0, 32*0(%rdi) + lea 160(%rdi), %rax # size optimization + vmovdqa $ACC1, 32*1(%rdi) + vmovdqa $ACC2, 32*2(%rdi) + vmovdqa $ACC3, 32*3(%rdi) + vmovdqa $ACC4, 32*4-160(%rax) + vmovdqa $ACC5, 32*5-160(%rax) + vmovdqa $ACC6, 32*6-160(%rax) + vmovdqa $ACC7, 32*7-160(%rax) + vmovdqa $ACC8, 32*8-160(%rax) +___ + $ret; +} + +$code.=<<___; +.type avx2_normalize,\@abi-omnipotent +.align 32 +avx2_normalize: + vpsrlq $digit_size, $ACC0, $T0 + vpand $AND_MASK, $ACC0, $ACC0 + vpaddq $T0, $ACC1, $ACC1 + + vpsrlq $digit_size, $ACC1, $T0 + vpand $AND_MASK, $ACC1, $ACC1 + vpaddq $T0, $ACC2, $ACC2 + + vpsrlq $digit_size, $ACC2, $T0 + vpand $AND_MASK, $ACC2, $ACC2 + vpaddq $T0, $ACC3, $ACC3 + + vpsrlq $digit_size, $ACC3, $T0 + vpand $AND_MASK, $ACC3, $ACC3 + vpaddq $T0, $ACC4, $ACC4 + + vpsrlq $digit_size, $ACC4, $T0 + vpand $AND_MASK, $ACC4, $ACC4 + vpaddq $T0, $ACC5, $ACC5 + + vpsrlq $digit_size, $ACC5, $T0 + vpand $AND_MASK, $ACC5, $ACC5 + vpaddq $T0, $ACC6, $ACC6 + + vpsrlq $digit_size, $ACC6, $T0 + vpand $AND_MASK, $ACC6, $ACC6 + vpaddq $T0, $ACC7, $ACC7 + + vpsrlq $digit_size, $ACC7, $T0 + vpand $AND_MASK, $ACC7, $ACC7 + vpaddq $T0, $ACC8, $ACC8 + #vpand $AND_MASK, $ACC8, $ACC8 + + ret +.size avx2_normalize,.-avx2_normalize + +.type avx2_normalize_n_store,\@abi-omnipotent +.align 32 +avx2_normalize_n_store: + vpsrlq $digit_size, $ACC0, $T0 + vpand $AND_MASK, $ACC0, $ACC0 + vpaddq $T0, $ACC1, $ACC1 + + vpsrlq $digit_size, $ACC1, $T0 + vpand $AND_MASK, $ACC1, $ACC1 + vmovdqa $ACC0, 32*0(%rdi) + lea 160(%rdi), %rax # size optimization + vpaddq $T0, $ACC2, $ACC2 + + vpsrlq $digit_size, $ACC2, $T0 + vpand $AND_MASK, $ACC2, $ACC2 + vmovdqa $ACC1, 32*1(%rdi) + vpaddq $T0, $ACC3, $ACC3 + + vpsrlq $digit_size, $ACC3, $T0 + vpand $AND_MASK, $ACC3, $ACC3 + vmovdqa $ACC2, 32*2(%rdi) + vpaddq $T0, $ACC4, $ACC4 + + vpsrlq $digit_size, $ACC4, $T0 + vpand $AND_MASK, $ACC4, $ACC4 + vmovdqa $ACC3, 32*3(%rdi) + vpaddq $T0, $ACC5, $ACC5 + + vpsrlq $digit_size, $ACC5, $T0 + vpand $AND_MASK, $ACC5, $ACC5 + vmovdqa $ACC4, 32*4-160(%rax) + vpaddq $T0, $ACC6, $ACC6 + + vpsrlq $digit_size, $ACC6, $T0 + vpand $AND_MASK, $ACC6, $ACC6 + vmovdqa $ACC5, 32*5-160(%rax) + vpaddq $T0, $ACC7, $ACC7 + + vpsrlq $digit_size, $ACC7, $T0 + vpand $AND_MASK, $ACC7, $ACC7 + vmovdqa $ACC6, 32*6-160(%rax) + vpaddq $T0, $ACC8, $ACC8 + #vpand $AND_MASK, $ACC8, $ACC8 + vmovdqa $ACC7, 32*7-160(%rax) + vmovdqa $ACC8, 32*8-160(%rax) + + ret +.size avx2_normalize_n_store,.-avx2_normalize_n_store + +################################################################################ +# void avx2_mul_x4(void* RESULTx4, void *Ax4, void *Bx4); +.type avx2_mul_x4,\@abi-omnipotent +.align 32 +avx2_mul_x4: + lea .LAVX2_POLY(%rip), %rax + + vpxor $ACC0, $ACC0, $ACC0 + vpxor $ACC1, $ACC1, $ACC1 + vpxor $ACC2, $ACC2, $ACC2 + vpxor $ACC3, $ACC3, $ACC3 + vpxor $ACC4, $ACC4, $ACC4 + vpxor $ACC5, $ACC5, $ACC5 + vpxor $ACC6, $ACC6, $ACC6 + vpxor $ACC7, $ACC7, $ACC7 + + vmovdqa 32*7(%rax), %ymm14 + vmovdqa 32*8(%rax), %ymm15 + + mov $n_digits, $itr + lea -512($a_ptr), $a_ptr # strategic bias to control u-op density + jmp .Lavx2_mul_x4_loop + +.align 32 +.Lavx2_mul_x4_loop: + vmovdqa 32*0($b_ptr), $B + lea 32*1($b_ptr), $b_ptr + + vpmuludq 32*0+512($a_ptr), $B, $T0 + vpmuludq 32*1+512($a_ptr), $B, $OVERFLOW # borrow $OVERFLOW + vpaddq $T0, $ACC0, $ACC0 + vpmuludq 32*2+512($a_ptr), $B, $T0 + vpaddq $OVERFLOW, $ACC1, $ACC1 + vpand $AND_MASK, $ACC0, $Y + vpmuludq 32*3+512($a_ptr), $B, $OVERFLOW + vpaddq $T0, $ACC2, $ACC2 + vpmuludq 32*4+512($a_ptr), $B, $T0 + vpaddq $OVERFLOW, $ACC3, $ACC3 + vpmuludq 32*5+512($a_ptr), $B, $OVERFLOW + vpaddq $T0, $ACC4, $ACC4 + vpmuludq 32*6+512($a_ptr), $B, $T0 + vpaddq $OVERFLOW, $ACC5, $ACC5 + vpmuludq 32*7+512($a_ptr), $B, $OVERFLOW + vpaddq $T0, $ACC6, $ACC6 + + # Skip some multiplications, optimizing for the constant poly + vpmuludq $AND_MASK, $Y, $T0 + vpaddq $OVERFLOW, $ACC7, $ACC7 + vpmuludq 32*8+512($a_ptr), $B, $ACC8 + vpaddq $T0, $ACC0, $OVERFLOW + vpaddq $T0, $ACC1, $ACC0 + vpsrlq $digit_size, $OVERFLOW, $OVERFLOW + vpaddq $T0, $ACC2, $ACC1 + vpmuludq 32*3(%rax), $Y, $T0 + vpaddq $OVERFLOW, $ACC0, $ACC0 + vpaddq $T0, $ACC3, $ACC2 + .byte 0x67 + vmovdqa $ACC4, $ACC3 + vpsllq \$18, $Y, $OVERFLOW + .byte 0x67 + vmovdqa $ACC5, $ACC4 + vpmuludq %ymm14, $Y, $T0 + vpaddq $OVERFLOW, $ACC6, $ACC5 + vpmuludq %ymm15, $Y, $OVERFLOW + vpaddq $T0, $ACC7, $ACC6 + vpaddq $OVERFLOW, $ACC8, $ACC7 + + dec $itr + jnz .Lavx2_mul_x4_loop + + vpxor $ACC8, $ACC8, $ACC8 + + ret +.size avx2_mul_x4,.-avx2_mul_x4 + +# Function optimized for the constant 1 +################################################################################ +# void avx2_mul_by1_x4(void* RESULTx4, void *Ax4); +.type avx2_mul_by1_x4,\@abi-omnipotent +.align 32 +avx2_mul_by1_x4: + lea .LAVX2_POLY(%rip), %rax + + vpxor $ACC0, $ACC0, $ACC0 + vpxor $ACC1, $ACC1, $ACC1 + vpxor $ACC2, $ACC2, $ACC2 + vpxor $ACC3, $ACC3, $ACC3 + vpxor $ACC4, $ACC4, $ACC4 + vpxor $ACC5, $ACC5, $ACC5 + vpxor $ACC6, $ACC6, $ACC6 + vpxor $ACC7, $ACC7, $ACC7 + vpxor $ACC8, $ACC8, $ACC8 + + vmovdqa 32*3+.LONE(%rip), %ymm14 + vmovdqa 32*7+.LONE(%rip), %ymm15 + + mov $n_digits, $itr + jmp .Lavx2_mul_by1_x4_loop + +.align 32 +.Lavx2_mul_by1_x4_loop: + vmovdqa 32*0($a_ptr), $B + .byte 0x48,0x8d,0xb6,0x20,0,0,0 # lea 32*1($a_ptr), $a_ptr + + vpsllq \$5, $B, $OVERFLOW + vpmuludq %ymm14, $B, $T0 + vpaddq $OVERFLOW, $ACC0, $ACC0 + vpaddq $T0, $ACC3, $ACC3 + .byte 0x67 + vpmuludq $AND_MASK, $B, $T0 + vpand $AND_MASK, $ACC0, $Y + vpaddq $T0, $ACC4, $ACC4 + vpaddq $T0, $ACC5, $ACC5 + vpaddq $T0, $ACC6, $ACC6 + vpsllq \$23, $B, $T0 + + .byte 0x67,0x67 + vpmuludq %ymm15, $B, $OVERFLOW + vpsubq $T0, $ACC6, $ACC6 + + vpmuludq $AND_MASK, $Y, $T0 + vpaddq $OVERFLOW, $ACC7, $ACC7 + vpaddq $T0, $ACC0, $OVERFLOW + vpaddq $T0, $ACC1, $ACC0 + .byte 0x67,0x67 + vpsrlq $digit_size, $OVERFLOW, $OVERFLOW + vpaddq $T0, $ACC2, $ACC1 + vpmuludq 32*3(%rax), $Y, $T0 + vpaddq $OVERFLOW, $ACC0, $ACC0 + vpaddq $T0, $ACC3, $ACC2 + vmovdqa $ACC4, $ACC3 + vpsllq \$18, $Y, $OVERFLOW + vmovdqa $ACC5, $ACC4 + vpmuludq 32*7(%rax), $Y, $T0 + vpaddq $OVERFLOW, $ACC6, $ACC5 + vpaddq $T0, $ACC7, $ACC6 + vpmuludq 32*8(%rax), $Y, $ACC7 + + dec $itr + jnz .Lavx2_mul_by1_x4_loop + + ret +.size avx2_mul_by1_x4,.-avx2_mul_by1_x4 + +################################################################################ +# void avx2_sqr_x4(void* RESULTx4, void *Ax4, void *Bx4); +.type avx2_sqr_x4,\@abi-omnipotent +.align 32 +avx2_sqr_x4: + lea .LAVX2_POLY(%rip), %rax + + vmovdqa 32*7(%rax), %ymm14 + vmovdqa 32*8(%rax), %ymm15 + + vmovdqa 32*0($a_ptr), $B + vmovdqa 32*1($a_ptr), $ACC1 + vmovdqa 32*2($a_ptr), $ACC2 + vmovdqa 32*3($a_ptr), $ACC3 + vmovdqa 32*4($a_ptr), $ACC4 + vmovdqa 32*5($a_ptr), $ACC5 + vmovdqa 32*6($a_ptr), $ACC6 + vmovdqa 32*7($a_ptr), $ACC7 + vpaddq $ACC1, $ACC1, $ACC1 # 2*$ACC0..7 + vmovdqa 32*8($a_ptr), $ACC8 + vpaddq $ACC2, $ACC2, $ACC2 + vmovdqa $ACC1, 32*0(%rcx) + vpaddq $ACC3, $ACC3, $ACC3 + vmovdqa $ACC2, 32*1(%rcx) + vpaddq $ACC4, $ACC4, $ACC4 + vmovdqa $ACC3, 32*2(%rcx) + vpaddq $ACC5, $ACC5, $ACC5 + vmovdqa $ACC4, 32*3(%rcx) + vpaddq $ACC6, $ACC6, $ACC6 + vmovdqa $ACC5, 32*4(%rcx) + vpaddq $ACC7, $ACC7, $ACC7 + vmovdqa $ACC6, 32*5(%rcx) + vpaddq $ACC8, $ACC8, $ACC8 + vmovdqa $ACC7, 32*6(%rcx) + vmovdqa $ACC8, 32*7(%rcx) + + #itr 1 + vpmuludq $B, $B, $ACC0 + vpmuludq $B, $ACC1, $ACC1 + vpand $AND_MASK, $ACC0, $Y + vpmuludq $B, $ACC2, $ACC2 + vpmuludq $B, $ACC3, $ACC3 + vpmuludq $B, $ACC4, $ACC4 + vpmuludq $B, $ACC5, $ACC5 + vpmuludq $B, $ACC6, $ACC6 + vpmuludq $AND_MASK, $Y, $T0 + vpmuludq $B, $ACC7, $ACC7 + vpmuludq $B, $ACC8, $ACC8 + vmovdqa 32*1($a_ptr), $B + + vpaddq $T0, $ACC0, $OVERFLOW + vpaddq $T0, $ACC1, $ACC0 + vpsrlq $digit_size, $OVERFLOW, $OVERFLOW + vpaddq $T0, $ACC2, $ACC1 + vpmuludq 32*3(%rax), $Y, $T0 + vpaddq $OVERFLOW, $ACC0, $ACC0 + vpaddq $T0, $ACC3, $ACC2 + vmovdqa $ACC4, $ACC3 + vpsllq \$18, $Y, $T0 + vmovdqa $ACC5, $ACC4 + vpmuludq %ymm14, $Y, $OVERFLOW + vpaddq $T0, $ACC6, $ACC5 + vpmuludq %ymm15, $Y, $T0 + vpaddq $OVERFLOW, $ACC7, $ACC6 + vpaddq $T0, $ACC8, $ACC7 + + #itr 2 + vpmuludq $B, $B, $OVERFLOW + vpand $AND_MASK, $ACC0, $Y + vpmuludq 32*1(%rcx), $B, $T0 + vpaddq $OVERFLOW, $ACC1, $ACC1 + vpmuludq 32*2(%rcx), $B, $OVERFLOW + vpaddq $T0, $ACC2, $ACC2 + vpmuludq 32*3(%rcx), $B, $T0 + vpaddq $OVERFLOW, $ACC3, $ACC3 + vpmuludq 32*4(%rcx), $B, $OVERFLOW + vpaddq $T0, $ACC4, $ACC4 + vpmuludq 32*5(%rcx), $B, $T0 + vpaddq $OVERFLOW, $ACC5, $ACC5 + vpmuludq 32*6(%rcx), $B, $OVERFLOW + vpaddq $T0, $ACC6, $ACC6 + + vpmuludq $AND_MASK, $Y, $T0 + vpaddq $OVERFLOW, $ACC7, $ACC7 + vpmuludq 32*7(%rcx), $B, $ACC8 + vmovdqa 32*2($a_ptr), $B + vpaddq $T0, $ACC0, $OVERFLOW + vpaddq $T0, $ACC1, $ACC0 + vpsrlq $digit_size, $OVERFLOW, $OVERFLOW + vpaddq $T0, $ACC2, $ACC1 + vpmuludq 32*3(%rax), $Y, $T0 + vpaddq $OVERFLOW, $ACC0, $ACC0 + vpaddq $T0, $ACC3, $ACC2 + vmovdqa $ACC4, $ACC3 + vpsllq \$18, $Y, $T0 + vmovdqa $ACC5, $ACC4 + vpmuludq %ymm14, $Y, $OVERFLOW + vpaddq $T0, $ACC6, $ACC5 + vpmuludq %ymm15, $Y, $T0 + vpaddq $OVERFLOW, $ACC7, $ACC6 + vpaddq $T0, $ACC8, $ACC7 + + #itr 3 + vpmuludq $B, $B, $T0 + vpand $AND_MASK, $ACC0, $Y + vpmuludq 32*2(%rcx), $B, $OVERFLOW + vpaddq $T0, $ACC2, $ACC2 + vpmuludq 32*3(%rcx), $B, $T0 + vpaddq $OVERFLOW, $ACC3, $ACC3 + vpmuludq 32*4(%rcx), $B, $OVERFLOW + vpaddq $T0, $ACC4, $ACC4 + vpmuludq 32*5(%rcx), $B, $T0 + vpaddq $OVERFLOW, $ACC5, $ACC5 + vpmuludq 32*6(%rcx), $B, $OVERFLOW + vpaddq $T0, $ACC6, $ACC6 + + vpmuludq $AND_MASK, $Y, $T0 + vpaddq $OVERFLOW, $ACC7, $ACC7 + vpmuludq 32*7(%rcx), $B, $ACC8 + vmovdqa 32*3($a_ptr), $B + vpaddq $T0, $ACC0, $OVERFLOW + vpaddq $T0, $ACC1, $ACC0 + vpsrlq $digit_size, $OVERFLOW, $OVERFLOW + vpaddq $T0, $ACC2, $ACC1 + vpmuludq 32*3(%rax), $Y, $T0 + vpaddq $OVERFLOW, $ACC0, $ACC0 + vpaddq $T0, $ACC3, $ACC2 + vmovdqa $ACC4, $ACC3 + vpsllq \$18, $Y, $T0 + vmovdqa $ACC5, $ACC4 + vpmuludq %ymm14, $Y, $OVERFLOW + vpaddq $T0, $ACC6, $ACC5 + vpmuludq %ymm15, $Y, $T0 + vpand $AND_MASK, $ACC0, $Y + vpaddq $OVERFLOW, $ACC7, $ACC6 + vpaddq $T0, $ACC8, $ACC7 + + #itr 4 + vpmuludq $B, $B, $OVERFLOW + vpmuludq 32*3(%rcx), $B, $T0 + vpaddq $OVERFLOW, $ACC3, $ACC3 + vpmuludq 32*4(%rcx), $B, $OVERFLOW + vpaddq $T0, $ACC4, $ACC4 + vpmuludq 32*5(%rcx), $B, $T0 + vpaddq $OVERFLOW, $ACC5, $ACC5 + vpmuludq 32*6(%rcx), $B, $OVERFLOW + vpaddq $T0, $ACC6, $ACC6 + + vpmuludq $AND_MASK, $Y, $T0 + vpaddq $OVERFLOW, $ACC7, $ACC7 + vpmuludq 32*7(%rcx), $B, $ACC8 + vmovdqa 32*4($a_ptr), $B + vpaddq $T0, $ACC0, $OVERFLOW + vpaddq $T0, $ACC1, $ACC0 + vpsrlq $digit_size, $OVERFLOW, $OVERFLOW + vpaddq $T0, $ACC2, $ACC1 + vpmuludq 32*3(%rax), $Y, $T0 + vpaddq $OVERFLOW, $ACC0, $ACC0 + vpaddq $T0, $ACC3, $ACC2 + vmovdqa $ACC4, $ACC3 + vpsllq \$18, $Y, $T0 + vmovdqa $ACC5, $ACC4 + vpmuludq %ymm14, $Y, $OVERFLOW + vpaddq $T0, $ACC6, $ACC5 + vpmuludq %ymm15, $Y, $T0 + vpand $AND_MASK, $ACC0, $Y + vpaddq $OVERFLOW, $ACC7, $ACC6 + vpaddq $T0, $ACC8, $ACC7 + + #itr 5 + vpmuludq $B, $B, $T0 + vpmuludq 32*4(%rcx), $B, $OVERFLOW + vpaddq $T0, $ACC4, $ACC4 + vpmuludq 32*5(%rcx), $B, $T0 + vpaddq $OVERFLOW, $ACC5, $ACC5 + vpmuludq 32*6(%rcx), $B, $OVERFLOW + vpaddq $T0, $ACC6, $ACC6 + + vpmuludq $AND_MASK, $Y, $T0 + vpaddq $OVERFLOW, $ACC7, $ACC7 + vpmuludq 32*7(%rcx), $B, $ACC8 + vmovdqa 32*5($a_ptr), $B + vpaddq $T0, $ACC0, $OVERFLOW + vpsrlq $digit_size, $OVERFLOW, $OVERFLOW + vpaddq $T0, $ACC1, $ACC0 + vpaddq $T0, $ACC2, $ACC1 + vpmuludq 32*3+.LAVX2_POLY(%rip), $Y, $T0 + vpaddq $OVERFLOW, $ACC0, $ACC0 + vpaddq $T0, $ACC3, $ACC2 + vmovdqa $ACC4, $ACC3 + vpsllq \$18, $Y, $T0 + vmovdqa $ACC5, $ACC4 + vpmuludq %ymm14, $Y, $OVERFLOW + vpaddq $T0, $ACC6, $ACC5 + vpmuludq %ymm15, $Y, $T0 + vpand $AND_MASK, $ACC0, $Y + vpaddq $OVERFLOW, $ACC7, $ACC6 + vpaddq $T0, $ACC8, $ACC7 + + #itr 6 + vpmuludq $B, $B, $OVERFLOW + vpmuludq 32*5(%rcx), $B, $T0 + vpaddq $OVERFLOW, $ACC5, $ACC5 + vpmuludq 32*6(%rcx), $B, $OVERFLOW + vpaddq $T0, $ACC6, $ACC6 + + vpmuludq $AND_MASK, $Y, $T0 + vpaddq $OVERFLOW, $ACC7, $ACC7 + vpmuludq 32*7(%rcx), $B, $ACC8 + vmovdqa 32*6($a_ptr), $B + vpaddq $T0, $ACC0, $OVERFLOW + vpaddq $T0, $ACC1, $ACC0 + vpsrlq $digit_size, $OVERFLOW, $OVERFLOW + vpaddq $T0, $ACC2, $ACC1 + vpmuludq 32*3(%rax), $Y, $T0 + vpaddq $OVERFLOW, $ACC0, $ACC0 + vpaddq $T0, $ACC3, $ACC2 + vmovdqa $ACC4, $ACC3 + vpsllq \$18, $Y, $T0 + vmovdqa $ACC5, $ACC4 + vpmuludq %ymm14, $Y, $OVERFLOW + vpaddq $T0, $ACC6, $ACC5 + vpmuludq %ymm15, $Y, $T0 + vpand $AND_MASK, $ACC0, $Y + vpaddq $OVERFLOW, $ACC7, $ACC6 + vpaddq $T0, $ACC8, $ACC7 + + #itr 7 + vpmuludq $B, $B, $T0 + vpmuludq 32*6(%rcx), $B, $OVERFLOW + vpaddq $T0, $ACC6, $ACC6 + + vpmuludq $AND_MASK, $Y, $T0 + vpaddq $OVERFLOW, $ACC7, $ACC7 + vpmuludq 32*7(%rcx), $B, $ACC8 + vmovdqa 32*7($a_ptr), $B + vpaddq $T0, $ACC0, $OVERFLOW + vpsrlq $digit_size, $OVERFLOW, $OVERFLOW + vpaddq $T0, $ACC1, $ACC0 + vpaddq $T0, $ACC2, $ACC1 + vpmuludq 32*3(%rax), $Y, $T0 + vpaddq $OVERFLOW, $ACC0, $ACC0 + vpaddq $T0, $ACC3, $ACC2 + vmovdqa $ACC4, $ACC3 + vpsllq \$18, $Y, $T0 + vmovdqa $ACC5, $ACC4 + vpmuludq %ymm14, $Y, $OVERFLOW + vpaddq $T0, $ACC6, $ACC5 + vpmuludq %ymm15, $Y, $T0 + vpand $AND_MASK, $ACC0, $Y + vpaddq $OVERFLOW, $ACC7, $ACC6 + vpaddq $T0, $ACC8, $ACC7 + + #itr 8 + vpmuludq $B, $B, $OVERFLOW + + vpmuludq $AND_MASK, $Y, $T0 + vpaddq $OVERFLOW, $ACC7, $ACC7 + vpmuludq 32*7(%rcx), $B, $ACC8 + vmovdqa 32*8($a_ptr), $B + vpaddq $T0, $ACC0, $OVERFLOW + vpsrlq $digit_size, $OVERFLOW, $OVERFLOW + vpaddq $T0, $ACC1, $ACC0 + vpaddq $T0, $ACC2, $ACC1 + vpmuludq 32*3(%rax), $Y, $T0 + vpaddq $OVERFLOW, $ACC0, $ACC0 + vpaddq $T0, $ACC3, $ACC2 + vmovdqa $ACC4, $ACC3 + vpsllq \$18, $Y, $T0 + vmovdqa $ACC5, $ACC4 + vpmuludq %ymm14, $Y, $OVERFLOW + vpaddq $T0, $ACC6, $ACC5 + vpmuludq %ymm15, $Y, $T0 + vpand $AND_MASK, $ACC0, $Y + vpaddq $OVERFLOW, $ACC7, $ACC6 + vpaddq $T0, $ACC8, $ACC7 + + #itr 9 + vpmuludq $B, $B, $ACC8 + + vpmuludq $AND_MASK, $Y, $T0 + vpaddq $T0, $ACC0, $OVERFLOW + vpsrlq $digit_size, $OVERFLOW, $OVERFLOW + vpaddq $T0, $ACC1, $ACC0 + vpaddq $T0, $ACC2, $ACC1 + vpmuludq 32*3(%rax), $Y, $T0 + vpaddq $OVERFLOW, $ACC0, $ACC0 + vpaddq $T0, $ACC3, $ACC2 + vmovdqa $ACC4, $ACC3 + vpsllq \$18, $Y, $T0 + vmovdqa $ACC5, $ACC4 + vpmuludq %ymm14, $Y, $OVERFLOW + vpaddq $T0, $ACC6, $ACC5 + vpmuludq %ymm15, $Y, $T0 + vpaddq $OVERFLOW, $ACC7, $ACC6 + vpaddq $T0, $ACC8, $ACC7 + + vpxor $ACC8, $ACC8, $ACC8 + + ret +.size avx2_sqr_x4,.-avx2_sqr_x4 + +################################################################################ +# void avx2_sub_x4(void* RESULTx4, void *Ax4, void *Bx4); +.type avx2_sub_x4,\@abi-omnipotent +.align 32 +avx2_sub_x4: + vmovdqa 32*0($a_ptr), $ACC0 + lea 160($a_ptr), $a_ptr + lea .LAVX2_POLY_x8+128(%rip), %rax + lea 128($b_ptr), $b_ptr + vmovdqa 32*1-160($a_ptr), $ACC1 + vmovdqa 32*2-160($a_ptr), $ACC2 + vmovdqa 32*3-160($a_ptr), $ACC3 + vmovdqa 32*4-160($a_ptr), $ACC4 + vmovdqa 32*5-160($a_ptr), $ACC5 + vmovdqa 32*6-160($a_ptr), $ACC6 + vmovdqa 32*7-160($a_ptr), $ACC7 + vmovdqa 32*8-160($a_ptr), $ACC8 + + vpaddq 32*0-128(%rax), $ACC0, $ACC0 + vpaddq 32*1-128(%rax), $ACC1, $ACC1 + vpaddq 32*2-128(%rax), $ACC2, $ACC2 + vpaddq 32*3-128(%rax), $ACC3, $ACC3 + vpaddq 32*4-128(%rax), $ACC4, $ACC4 + vpaddq 32*5-128(%rax), $ACC5, $ACC5 + vpaddq 32*6-128(%rax), $ACC6, $ACC6 + vpaddq 32*7-128(%rax), $ACC7, $ACC7 + vpaddq 32*8-128(%rax), $ACC8, $ACC8 + + vpsubq 32*0-128($b_ptr), $ACC0, $ACC0 + vpsubq 32*1-128($b_ptr), $ACC1, $ACC1 + vpsubq 32*2-128($b_ptr), $ACC2, $ACC2 + vpsubq 32*3-128($b_ptr), $ACC3, $ACC3 + vpsubq 32*4-128($b_ptr), $ACC4, $ACC4 + vpsubq 32*5-128($b_ptr), $ACC5, $ACC5 + vpsubq 32*6-128($b_ptr), $ACC6, $ACC6 + vpsubq 32*7-128($b_ptr), $ACC7, $ACC7 + vpsubq 32*8-128($b_ptr), $ACC8, $ACC8 + + ret +.size avx2_sub_x4,.-avx2_sub_x4 + +.type avx2_select_n_store,\@abi-omnipotent +.align 32 +avx2_select_n_store: + vmovdqa `8+32*9*8`(%rsp), $Y + vpor `8+32*9*8+32`(%rsp), $Y, $Y + + vpandn $ACC0, $Y, $ACC0 + vpandn $ACC1, $Y, $ACC1 + vpandn $ACC2, $Y, $ACC2 + vpandn $ACC3, $Y, $ACC3 + vpandn $ACC4, $Y, $ACC4 + vpandn $ACC5, $Y, $ACC5 + vpandn $ACC6, $Y, $ACC6 + vmovdqa `8+32*9*8+32`(%rsp), $B + vpandn $ACC7, $Y, $ACC7 + vpandn `8+32*9*8`(%rsp), $B, $B + vpandn $ACC8, $Y, $ACC8 + + vpand 32*0(%rsi), $B, $T0 + lea 160(%rsi), %rax + vpand 32*1(%rsi), $B, $Y + vpxor $T0, $ACC0, $ACC0 + vpand 32*2(%rsi), $B, $T0 + vpxor $Y, $ACC1, $ACC1 + vpand 32*3(%rsi), $B, $Y + vpxor $T0, $ACC2, $ACC2 + vpand 32*4-160(%rax), $B, $T0 + vpxor $Y, $ACC3, $ACC3 + vpand 32*5-160(%rax), $B, $Y + vpxor $T0, $ACC4, $ACC4 + vpand 32*6-160(%rax), $B, $T0 + vpxor $Y, $ACC5, $ACC5 + vpand 32*7-160(%rax), $B, $Y + vpxor $T0, $ACC6, $ACC6 + vpand 32*8-160(%rax), $B, $T0 + vmovdqa `8+32*9*8+32`(%rsp), $B + vpxor $Y, $ACC7, $ACC7 + + vpand 32*0(%rdx), $B, $Y + lea 160(%rdx), %rax + vpxor $T0, $ACC8, $ACC8 + vpand 32*1(%rdx), $B, $T0 + vpxor $Y, $ACC0, $ACC0 + vpand 32*2(%rdx), $B, $Y + vpxor $T0, $ACC1, $ACC1 + vpand 32*3(%rdx), $B, $T0 + vpxor $Y, $ACC2, $ACC2 + vpand 32*4-160(%rax), $B, $Y + vpxor $T0, $ACC3, $ACC3 + vpand 32*5-160(%rax), $B, $T0 + vpxor $Y, $ACC4, $ACC4 + vpand 32*6-160(%rax), $B, $Y + vpxor $T0, $ACC5, $ACC5 + vpand 32*7-160(%rax), $B, $T0 + vpxor $Y, $ACC6, $ACC6 + vpand 32*8-160(%rax), $B, $Y + vpxor $T0, $ACC7, $ACC7 + vpxor $Y, $ACC8, $ACC8 + `&STORE` + + ret +.size avx2_select_n_store,.-avx2_select_n_store +___ +$code.=<<___ if (0); # inlined +################################################################################ +# void avx2_mul_by2_x4(void* RESULTx4, void *Ax4); +.type avx2_mul_by2_x4,\@abi-omnipotent +.align 32 +avx2_mul_by2_x4: + vmovdqa 32*0($a_ptr), $ACC0 + lea 160($a_ptr), %rax + vmovdqa 32*1($a_ptr), $ACC1 + vmovdqa 32*2($a_ptr), $ACC2 + vmovdqa 32*3($a_ptr), $ACC3 + vmovdqa 32*4-160(%rax), $ACC4 + vmovdqa 32*5-160(%rax), $ACC5 + vmovdqa 32*6-160(%rax), $ACC6 + vmovdqa 32*7-160(%rax), $ACC7 + vmovdqa 32*8-160(%rax), $ACC8 + + vpaddq $ACC0, $ACC0, $ACC0 + vpaddq $ACC1, $ACC1, $ACC1 + vpaddq $ACC2, $ACC2, $ACC2 + vpaddq $ACC3, $ACC3, $ACC3 + vpaddq $ACC4, $ACC4, $ACC4 + vpaddq $ACC5, $ACC5, $ACC5 + vpaddq $ACC6, $ACC6, $ACC6 + vpaddq $ACC7, $ACC7, $ACC7 + vpaddq $ACC8, $ACC8, $ACC8 + + ret +.size avx2_mul_by2_x4,.-avx2_mul_by2_x4 +___ +my ($r_ptr_in,$a_ptr_in,$b_ptr_in)=("%rdi","%rsi","%rdx"); +my ($r_ptr,$a_ptr,$b_ptr)=("%r8","%r9","%r10"); + +$code.=<<___; +################################################################################ +# void ecp_nistz256_avx2_point_add_affine_x4(void* RESULTx4, void *Ax4, void *Bx4); +.globl ecp_nistz256_avx2_point_add_affine_x4 +.type ecp_nistz256_avx2_point_add_affine_x4,\@function,3 +.align 32 +ecp_nistz256_avx2_point_add_affine_x4: + mov %rsp, %rax + push %rbp + vzeroupper +___ +$code.=<<___ if ($win64); + lea -16*10(%rsp), %rsp + vmovaps %xmm6, -8-16*10(%rax) + vmovaps %xmm7, -8-16*9(%rax) + vmovaps %xmm8, -8-16*8(%rax) + vmovaps %xmm9, -8-16*7(%rax) + vmovaps %xmm10, -8-16*6(%rax) + vmovaps %xmm11, -8-16*5(%rax) + vmovaps %xmm12, -8-16*4(%rax) + vmovaps %xmm13, -8-16*3(%rax) + vmovaps %xmm14, -8-16*2(%rax) + vmovaps %xmm15, -8-16*1(%rax) +___ +$code.=<<___; + lea -8(%rax), %rbp + +# Result + 32*0 = Result.X +# Result + 32*9 = Result.Y +# Result + 32*18 = Result.Z + +# A + 32*0 = A.X +# A + 32*9 = A.Y +# A + 32*18 = A.Z + +# B + 32*0 = B.X +# B + 32*9 = B.Y + + sub \$`32*9*8+32*2+32*8`, %rsp + and \$-64, %rsp + + mov $r_ptr_in, $r_ptr + mov $a_ptr_in, $a_ptr + mov $b_ptr_in, $b_ptr + + vmovdqa 32*0($a_ptr_in), %ymm0 + vmovdqa .LAVX2_AND_MASK(%rip), $AND_MASK + vpxor %ymm1, %ymm1, %ymm1 + lea 256($a_ptr_in), %rax # size optimization + vpor 32*1($a_ptr_in), %ymm0, %ymm0 + vpor 32*2($a_ptr_in), %ymm0, %ymm0 + vpor 32*3($a_ptr_in), %ymm0, %ymm0 + vpor 32*4-256(%rax), %ymm0, %ymm0 + lea 256(%rax), %rcx # size optimization + vpor 32*5-256(%rax), %ymm0, %ymm0 + vpor 32*6-256(%rax), %ymm0, %ymm0 + vpor 32*7-256(%rax), %ymm0, %ymm0 + vpor 32*8-256(%rax), %ymm0, %ymm0 + vpor 32*9-256(%rax), %ymm0, %ymm0 + vpor 32*10-256(%rax), %ymm0, %ymm0 + vpor 32*11-256(%rax), %ymm0, %ymm0 + vpor 32*12-512(%rcx), %ymm0, %ymm0 + vpor 32*13-512(%rcx), %ymm0, %ymm0 + vpor 32*14-512(%rcx), %ymm0, %ymm0 + vpor 32*15-512(%rcx), %ymm0, %ymm0 + vpor 32*16-512(%rcx), %ymm0, %ymm0 + vpor 32*17-512(%rcx), %ymm0, %ymm0 + vpcmpeqq %ymm1, %ymm0, %ymm0 + vmovdqa %ymm0, `32*9*8`(%rsp) + + vpxor %ymm1, %ymm1, %ymm1 + vmovdqa 32*0($b_ptr), %ymm0 + lea 256($b_ptr), %rax # size optimization + vpor 32*1($b_ptr), %ymm0, %ymm0 + vpor 32*2($b_ptr), %ymm0, %ymm0 + vpor 32*3($b_ptr), %ymm0, %ymm0 + vpor 32*4-256(%rax), %ymm0, %ymm0 + lea 256(%rax), %rcx # size optimization + vpor 32*5-256(%rax), %ymm0, %ymm0 + vpor 32*6-256(%rax), %ymm0, %ymm0 + vpor 32*7-256(%rax), %ymm0, %ymm0 + vpor 32*8-256(%rax), %ymm0, %ymm0 + vpor 32*9-256(%rax), %ymm0, %ymm0 + vpor 32*10-256(%rax), %ymm0, %ymm0 + vpor 32*11-256(%rax), %ymm0, %ymm0 + vpor 32*12-512(%rcx), %ymm0, %ymm0 + vpor 32*13-512(%rcx), %ymm0, %ymm0 + vpor 32*14-512(%rcx), %ymm0, %ymm0 + vpor 32*15-512(%rcx), %ymm0, %ymm0 + vpor 32*16-512(%rcx), %ymm0, %ymm0 + vpor 32*17-512(%rcx), %ymm0, %ymm0 + vpcmpeqq %ymm1, %ymm0, %ymm0 + vmovdqa %ymm0, `32*9*8+32`(%rsp) + + # Z1^2 = Z1*Z1 + lea `32*9*2`($a_ptr), %rsi + lea `32*9*2`(%rsp), %rdi + lea `32*9*8+32*2`(%rsp), %rcx # temporary vector + call avx2_sqr_x4 + call avx2_normalize_n_store + + # U2 = X2*Z1^2 + lea `32*9*0`($b_ptr), %rsi + lea `32*9*2`(%rsp), %rdx + lea `32*9*0`(%rsp), %rdi + call avx2_mul_x4 + #call avx2_normalize + `&STORE` + + # S2 = Z1*Z1^2 = Z1^3 + lea `32*9*2`($a_ptr), %rsi + lea `32*9*2`(%rsp), %rdx + lea `32*9*1`(%rsp), %rdi + call avx2_mul_x4 + call avx2_normalize_n_store + + # S2 = S2*Y2 = Y2*Z1^3 + lea `32*9*1`($b_ptr), %rsi + lea `32*9*1`(%rsp), %rdx + lea `32*9*1`(%rsp), %rdi + call avx2_mul_x4 + call avx2_normalize_n_store + + # H = U2 - U1 = U2 - X1 + lea `32*9*0`(%rsp), %rsi + lea `32*9*0`($a_ptr), %rdx + lea `32*9*3`(%rsp), %rdi + call avx2_sub_x4 + call avx2_normalize_n_store + + # R = S2 - S1 = S2 - Y1 + lea `32*9*1`(%rsp), %rsi + lea `32*9*1`($a_ptr), %rdx + lea `32*9*4`(%rsp), %rdi + call avx2_sub_x4 + call avx2_normalize_n_store + + # Z3 = H*Z1*Z2 + lea `32*9*3`(%rsp), %rsi + lea `32*9*2`($a_ptr), %rdx + lea `32*9*2`($r_ptr), %rdi + call avx2_mul_x4 + call avx2_normalize + + lea .LONE(%rip), %rsi + lea `32*9*2`($a_ptr), %rdx + call avx2_select_n_store + + # R^2 = R^2 + lea `32*9*4`(%rsp), %rsi + lea `32*9*6`(%rsp), %rdi + lea `32*9*8+32*2`(%rsp), %rcx # temporary vector + call avx2_sqr_x4 + call avx2_normalize_n_store + + # H^2 = H^2 + lea `32*9*3`(%rsp), %rsi + lea `32*9*5`(%rsp), %rdi + call avx2_sqr_x4 + call avx2_normalize_n_store + + # H^3 = H^2*H + lea `32*9*3`(%rsp), %rsi + lea `32*9*5`(%rsp), %rdx + lea `32*9*7`(%rsp), %rdi + call avx2_mul_x4 + call avx2_normalize_n_store + + # U2 = U1*H^2 + lea `32*9*0`($a_ptr), %rsi + lea `32*9*5`(%rsp), %rdx + lea `32*9*0`(%rsp), %rdi + call avx2_mul_x4 + #call avx2_normalize + `&STORE` + + # Hsqr = U2*2 + #lea 32*9*0(%rsp), %rsi + #lea 32*9*5(%rsp), %rdi + #call avx2_mul_by2_x4 + + vpaddq $ACC0, $ACC0, $ACC0 # inlined avx2_mul_by2_x4 + lea `32*9*5`(%rsp), %rdi + vpaddq $ACC1, $ACC1, $ACC1 + vpaddq $ACC2, $ACC2, $ACC2 + vpaddq $ACC3, $ACC3, $ACC3 + vpaddq $ACC4, $ACC4, $ACC4 + vpaddq $ACC5, $ACC5, $ACC5 + vpaddq $ACC6, $ACC6, $ACC6 + vpaddq $ACC7, $ACC7, $ACC7 + vpaddq $ACC8, $ACC8, $ACC8 + call avx2_normalize_n_store + + # X3 = R^2 - H^3 + #lea 32*9*6(%rsp), %rsi + #lea 32*9*7(%rsp), %rdx + #lea 32*9*5(%rsp), %rcx + #lea 32*9*0($r_ptr), %rdi + #call avx2_sub_x4 + #NORMALIZE + #STORE + + # X3 = X3 - U2*2 + #lea 32*9*0($r_ptr), %rsi + #lea 32*9*0($r_ptr), %rdi + #call avx2_sub_x4 + #NORMALIZE + #STORE + + lea `32*9*6+128`(%rsp), %rsi + lea .LAVX2_POLY_x2+128(%rip), %rax + lea `32*9*7+128`(%rsp), %rdx + lea `32*9*5+128`(%rsp), %rcx + lea `32*9*0`($r_ptr), %rdi + + vmovdqa 32*0-128(%rsi), $ACC0 + vmovdqa 32*1-128(%rsi), $ACC1 + vmovdqa 32*2-128(%rsi), $ACC2 + vmovdqa 32*3-128(%rsi), $ACC3 + vmovdqa 32*4-128(%rsi), $ACC4 + vmovdqa 32*5-128(%rsi), $ACC5 + vmovdqa 32*6-128(%rsi), $ACC6 + vmovdqa 32*7-128(%rsi), $ACC7 + vmovdqa 32*8-128(%rsi), $ACC8 + + vpaddq 32*0-128(%rax), $ACC0, $ACC0 + vpaddq 32*1-128(%rax), $ACC1, $ACC1 + vpaddq 32*2-128(%rax), $ACC2, $ACC2 + vpaddq 32*3-128(%rax), $ACC3, $ACC3 + vpaddq 32*4-128(%rax), $ACC4, $ACC4 + vpaddq 32*5-128(%rax), $ACC5, $ACC5 + vpaddq 32*6-128(%rax), $ACC6, $ACC6 + vpaddq 32*7-128(%rax), $ACC7, $ACC7 + vpaddq 32*8-128(%rax), $ACC8, $ACC8 + + vpsubq 32*0-128(%rdx), $ACC0, $ACC0 + vpsubq 32*1-128(%rdx), $ACC1, $ACC1 + vpsubq 32*2-128(%rdx), $ACC2, $ACC2 + vpsubq 32*3-128(%rdx), $ACC3, $ACC3 + vpsubq 32*4-128(%rdx), $ACC4, $ACC4 + vpsubq 32*5-128(%rdx), $ACC5, $ACC5 + vpsubq 32*6-128(%rdx), $ACC6, $ACC6 + vpsubq 32*7-128(%rdx), $ACC7, $ACC7 + vpsubq 32*8-128(%rdx), $ACC8, $ACC8 + + vpsubq 32*0-128(%rcx), $ACC0, $ACC0 + vpsubq 32*1-128(%rcx), $ACC1, $ACC1 + vpsubq 32*2-128(%rcx), $ACC2, $ACC2 + vpsubq 32*3-128(%rcx), $ACC3, $ACC3 + vpsubq 32*4-128(%rcx), $ACC4, $ACC4 + vpsubq 32*5-128(%rcx), $ACC5, $ACC5 + vpsubq 32*6-128(%rcx), $ACC6, $ACC6 + vpsubq 32*7-128(%rcx), $ACC7, $ACC7 + vpsubq 32*8-128(%rcx), $ACC8, $ACC8 + call avx2_normalize + + lea 32*0($b_ptr), %rsi + lea 32*0($a_ptr), %rdx + call avx2_select_n_store + + # H = U2 - X3 + lea `32*9*0`(%rsp), %rsi + lea `32*9*0`($r_ptr), %rdx + lea `32*9*3`(%rsp), %rdi + call avx2_sub_x4 + call avx2_normalize_n_store + + # + lea `32*9*3`(%rsp), %rsi + lea `32*9*4`(%rsp), %rdx + lea `32*9*3`(%rsp), %rdi + call avx2_mul_x4 + call avx2_normalize_n_store + + # + lea `32*9*7`(%rsp), %rsi + lea `32*9*1`($a_ptr), %rdx + lea `32*9*1`(%rsp), %rdi + call avx2_mul_x4 + call avx2_normalize_n_store + + # + lea `32*9*3`(%rsp), %rsi + lea `32*9*1`(%rsp), %rdx + lea `32*9*1`($r_ptr), %rdi + call avx2_sub_x4 + call avx2_normalize + + lea 32*9($b_ptr), %rsi + lea 32*9($a_ptr), %rdx + call avx2_select_n_store + + #lea 32*9*0($r_ptr), %rsi + #lea 32*9*0($r_ptr), %rdi + #call avx2_mul_by1_x4 + #NORMALIZE + #STORE + + lea `32*9*1`($r_ptr), %rsi + lea `32*9*1`($r_ptr), %rdi + call avx2_mul_by1_x4 + call avx2_normalize_n_store + + vzeroupper +___ +$code.=<<___ if ($win64); + movaps %xmm6, -16*10(%rbp) + movaps %xmm7, -16*9(%rbp) + movaps %xmm8, -16*8(%rbp) + movaps %xmm9, -16*7(%rbp) + movaps %xmm10, -16*6(%rbp) + movaps %xmm11, -16*5(%rbp) + movaps %xmm12, -16*4(%rbp) + movaps %xmm13, -16*3(%rbp) + movaps %xmm14, -16*2(%rbp) + movaps %xmm15, -16*1(%rbp) +___ +$code.=<<___; + mov %rbp, %rsp + pop %rbp + ret +.size ecp_nistz256_avx2_point_add_affine_x4,.-ecp_nistz256_avx2_point_add_affine_x4 + +################################################################################ +# void ecp_nistz256_avx2_point_add_affines_x4(void* RESULTx4, void *Ax4, void *Bx4); +.globl ecp_nistz256_avx2_point_add_affines_x4 +.type ecp_nistz256_avx2_point_add_affines_x4,\@function,3 +.align 32 +ecp_nistz256_avx2_point_add_affines_x4: + mov %rsp, %rax + push %rbp + vzeroupper +___ +$code.=<<___ if ($win64); + lea -16*10(%rsp), %rsp + vmovaps %xmm6, -8-16*10(%rax) + vmovaps %xmm7, -8-16*9(%rax) + vmovaps %xmm8, -8-16*8(%rax) + vmovaps %xmm9, -8-16*7(%rax) + vmovaps %xmm10, -8-16*6(%rax) + vmovaps %xmm11, -8-16*5(%rax) + vmovaps %xmm12, -8-16*4(%rax) + vmovaps %xmm13, -8-16*3(%rax) + vmovaps %xmm14, -8-16*2(%rax) + vmovaps %xmm15, -8-16*1(%rax) +___ +$code.=<<___; + lea -8(%rax), %rbp + +# Result + 32*0 = Result.X +# Result + 32*9 = Result.Y +# Result + 32*18 = Result.Z + +# A + 32*0 = A.X +# A + 32*9 = A.Y + +# B + 32*0 = B.X +# B + 32*9 = B.Y + + sub \$`32*9*8+32*2+32*8`, %rsp + and \$-64, %rsp + + mov $r_ptr_in, $r_ptr + mov $a_ptr_in, $a_ptr + mov $b_ptr_in, $b_ptr + + vmovdqa 32*0($a_ptr_in), %ymm0 + vmovdqa .LAVX2_AND_MASK(%rip), $AND_MASK + vpxor %ymm1, %ymm1, %ymm1 + lea 256($a_ptr_in), %rax # size optimization + vpor 32*1($a_ptr_in), %ymm0, %ymm0 + vpor 32*2($a_ptr_in), %ymm0, %ymm0 + vpor 32*3($a_ptr_in), %ymm0, %ymm0 + vpor 32*4-256(%rax), %ymm0, %ymm0 + lea 256(%rax), %rcx # size optimization + vpor 32*5-256(%rax), %ymm0, %ymm0 + vpor 32*6-256(%rax), %ymm0, %ymm0 + vpor 32*7-256(%rax), %ymm0, %ymm0 + vpor 32*8-256(%rax), %ymm0, %ymm0 + vpor 32*9-256(%rax), %ymm0, %ymm0 + vpor 32*10-256(%rax), %ymm0, %ymm0 + vpor 32*11-256(%rax), %ymm0, %ymm0 + vpor 32*12-512(%rcx), %ymm0, %ymm0 + vpor 32*13-512(%rcx), %ymm0, %ymm0 + vpor 32*14-512(%rcx), %ymm0, %ymm0 + vpor 32*15-512(%rcx), %ymm0, %ymm0 + vpor 32*16-512(%rcx), %ymm0, %ymm0 + vpor 32*17-512(%rcx), %ymm0, %ymm0 + vpcmpeqq %ymm1, %ymm0, %ymm0 + vmovdqa %ymm0, `32*9*8`(%rsp) + + vpxor %ymm1, %ymm1, %ymm1 + vmovdqa 32*0($b_ptr), %ymm0 + lea 256($b_ptr), %rax # size optimization + vpor 32*1($b_ptr), %ymm0, %ymm0 + vpor 32*2($b_ptr), %ymm0, %ymm0 + vpor 32*3($b_ptr), %ymm0, %ymm0 + vpor 32*4-256(%rax), %ymm0, %ymm0 + lea 256(%rax), %rcx # size optimization + vpor 32*5-256(%rax), %ymm0, %ymm0 + vpor 32*6-256(%rax), %ymm0, %ymm0 + vpor 32*7-256(%rax), %ymm0, %ymm0 + vpor 32*8-256(%rax), %ymm0, %ymm0 + vpor 32*9-256(%rax), %ymm0, %ymm0 + vpor 32*10-256(%rax), %ymm0, %ymm0 + vpor 32*11-256(%rax), %ymm0, %ymm0 + vpor 32*12-512(%rcx), %ymm0, %ymm0 + vpor 32*13-512(%rcx), %ymm0, %ymm0 + vpor 32*14-512(%rcx), %ymm0, %ymm0 + vpor 32*15-512(%rcx), %ymm0, %ymm0 + vpor 32*16-512(%rcx), %ymm0, %ymm0 + vpor 32*17-512(%rcx), %ymm0, %ymm0 + vpcmpeqq %ymm1, %ymm0, %ymm0 + vmovdqa %ymm0, `32*9*8+32`(%rsp) + + # H = U2 - U1 = X2 - X1 + lea `32*9*0`($b_ptr), %rsi + lea `32*9*0`($a_ptr), %rdx + lea `32*9*3`(%rsp), %rdi + call avx2_sub_x4 + call avx2_normalize_n_store + + # R = S2 - S1 = Y2 - Y1 + lea `32*9*1`($b_ptr), %rsi + lea `32*9*1`($a_ptr), %rdx + lea `32*9*4`(%rsp), %rdi + call avx2_sub_x4 + call avx2_normalize_n_store + + # Z3 = H*Z1*Z2 = H + lea `32*9*3`(%rsp), %rsi + lea `32*9*2`($r_ptr), %rdi + call avx2_mul_by1_x4 + call avx2_normalize + + vmovdqa `32*9*8`(%rsp), $B + vpor `32*9*8+32`(%rsp), $B, $B + + vpandn $ACC0, $B, $ACC0 + lea .LONE+128(%rip), %rax + vpandn $ACC1, $B, $ACC1 + vpandn $ACC2, $B, $ACC2 + vpandn $ACC3, $B, $ACC3 + vpandn $ACC4, $B, $ACC4 + vpandn $ACC5, $B, $ACC5 + vpandn $ACC6, $B, $ACC6 + vpandn $ACC7, $B, $ACC7 + + vpand 32*0-128(%rax), $B, $T0 + vpandn $ACC8, $B, $ACC8 + vpand 32*1-128(%rax), $B, $Y + vpxor $T0, $ACC0, $ACC0 + vpand 32*2-128(%rax), $B, $T0 + vpxor $Y, $ACC1, $ACC1 + vpand 32*3-128(%rax), $B, $Y + vpxor $T0, $ACC2, $ACC2 + vpand 32*4-128(%rax), $B, $T0 + vpxor $Y, $ACC3, $ACC3 + vpand 32*5-128(%rax), $B, $Y + vpxor $T0, $ACC4, $ACC4 + vpand 32*6-128(%rax), $B, $T0 + vpxor $Y, $ACC5, $ACC5 + vpand 32*7-128(%rax), $B, $Y + vpxor $T0, $ACC6, $ACC6 + vpand 32*8-128(%rax), $B, $T0 + vpxor $Y, $ACC7, $ACC7 + vpxor $T0, $ACC8, $ACC8 + `&STORE` + + # R^2 = R^2 + lea `32*9*4`(%rsp), %rsi + lea `32*9*6`(%rsp), %rdi + lea `32*9*8+32*2`(%rsp), %rcx # temporary vector + call avx2_sqr_x4 + call avx2_normalize_n_store + + # H^2 = H^2 + lea `32*9*3`(%rsp), %rsi + lea `32*9*5`(%rsp), %rdi + call avx2_sqr_x4 + call avx2_normalize_n_store + + # H^3 = H^2*H + lea `32*9*3`(%rsp), %rsi + lea `32*9*5`(%rsp), %rdx + lea `32*9*7`(%rsp), %rdi + call avx2_mul_x4 + call avx2_normalize_n_store + + # U2 = U1*H^2 + lea `32*9*0`($a_ptr), %rsi + lea `32*9*5`(%rsp), %rdx + lea `32*9*0`(%rsp), %rdi + call avx2_mul_x4 + #call avx2_normalize + `&STORE` + + # Hsqr = U2*2 + #lea 32*9*0(%rsp), %rsi + #lea 32*9*5(%rsp), %rdi + #call avx2_mul_by2_x4 + + vpaddq $ACC0, $ACC0, $ACC0 # inlined avx2_mul_by2_x4 + lea `32*9*5`(%rsp), %rdi + vpaddq $ACC1, $ACC1, $ACC1 + vpaddq $ACC2, $ACC2, $ACC2 + vpaddq $ACC3, $ACC3, $ACC3 + vpaddq $ACC4, $ACC4, $ACC4 + vpaddq $ACC5, $ACC5, $ACC5 + vpaddq $ACC6, $ACC6, $ACC6 + vpaddq $ACC7, $ACC7, $ACC7 + vpaddq $ACC8, $ACC8, $ACC8 + call avx2_normalize_n_store + + # X3 = R^2 - H^3 + #lea 32*9*6(%rsp), %rsi + #lea 32*9*7(%rsp), %rdx + #lea 32*9*5(%rsp), %rcx + #lea 32*9*0($r_ptr), %rdi + #call avx2_sub_x4 + #NORMALIZE + #STORE + + # X3 = X3 - U2*2 + #lea 32*9*0($r_ptr), %rsi + #lea 32*9*0($r_ptr), %rdi + #call avx2_sub_x4 + #NORMALIZE + #STORE + + lea `32*9*6+128`(%rsp), %rsi + lea .LAVX2_POLY_x2+128(%rip), %rax + lea `32*9*7+128`(%rsp), %rdx + lea `32*9*5+128`(%rsp), %rcx + lea `32*9*0`($r_ptr), %rdi + + vmovdqa 32*0-128(%rsi), $ACC0 + vmovdqa 32*1-128(%rsi), $ACC1 + vmovdqa 32*2-128(%rsi), $ACC2 + vmovdqa 32*3-128(%rsi), $ACC3 + vmovdqa 32*4-128(%rsi), $ACC4 + vmovdqa 32*5-128(%rsi), $ACC5 + vmovdqa 32*6-128(%rsi), $ACC6 + vmovdqa 32*7-128(%rsi), $ACC7 + vmovdqa 32*8-128(%rsi), $ACC8 + + vpaddq 32*0-128(%rax), $ACC0, $ACC0 + vpaddq 32*1-128(%rax), $ACC1, $ACC1 + vpaddq 32*2-128(%rax), $ACC2, $ACC2 + vpaddq 32*3-128(%rax), $ACC3, $ACC3 + vpaddq 32*4-128(%rax), $ACC4, $ACC4 + vpaddq 32*5-128(%rax), $ACC5, $ACC5 + vpaddq 32*6-128(%rax), $ACC6, $ACC6 + vpaddq 32*7-128(%rax), $ACC7, $ACC7 + vpaddq 32*8-128(%rax), $ACC8, $ACC8 + + vpsubq 32*0-128(%rdx), $ACC0, $ACC0 + vpsubq 32*1-128(%rdx), $ACC1, $ACC1 + vpsubq 32*2-128(%rdx), $ACC2, $ACC2 + vpsubq 32*3-128(%rdx), $ACC3, $ACC3 + vpsubq 32*4-128(%rdx), $ACC4, $ACC4 + vpsubq 32*5-128(%rdx), $ACC5, $ACC5 + vpsubq 32*6-128(%rdx), $ACC6, $ACC6 + vpsubq 32*7-128(%rdx), $ACC7, $ACC7 + vpsubq 32*8-128(%rdx), $ACC8, $ACC8 + + vpsubq 32*0-128(%rcx), $ACC0, $ACC0 + vpsubq 32*1-128(%rcx), $ACC1, $ACC1 + vpsubq 32*2-128(%rcx), $ACC2, $ACC2 + vpsubq 32*3-128(%rcx), $ACC3, $ACC3 + vpsubq 32*4-128(%rcx), $ACC4, $ACC4 + vpsubq 32*5-128(%rcx), $ACC5, $ACC5 + vpsubq 32*6-128(%rcx), $ACC6, $ACC6 + vpsubq 32*7-128(%rcx), $ACC7, $ACC7 + vpsubq 32*8-128(%rcx), $ACC8, $ACC8 + call avx2_normalize + + lea 32*0($b_ptr), %rsi + lea 32*0($a_ptr), %rdx + call avx2_select_n_store + + # H = U2 - X3 + lea `32*9*0`(%rsp), %rsi + lea `32*9*0`($r_ptr), %rdx + lea `32*9*3`(%rsp), %rdi + call avx2_sub_x4 + call avx2_normalize_n_store + + # H = H*R + lea `32*9*3`(%rsp), %rsi + lea `32*9*4`(%rsp), %rdx + lea `32*9*3`(%rsp), %rdi + call avx2_mul_x4 + call avx2_normalize_n_store + + # S2 = S1 * H^3 + lea `32*9*7`(%rsp), %rsi + lea `32*9*1`($a_ptr), %rdx + lea `32*9*1`(%rsp), %rdi + call avx2_mul_x4 + call avx2_normalize_n_store + + # + lea `32*9*3`(%rsp), %rsi + lea `32*9*1`(%rsp), %rdx + lea `32*9*1`($r_ptr), %rdi + call avx2_sub_x4 + call avx2_normalize + + lea 32*9($b_ptr), %rsi + lea 32*9($a_ptr), %rdx + call avx2_select_n_store + + #lea 32*9*0($r_ptr), %rsi + #lea 32*9*0($r_ptr), %rdi + #call avx2_mul_by1_x4 + #NORMALIZE + #STORE + + lea `32*9*1`($r_ptr), %rsi + lea `32*9*1`($r_ptr), %rdi + call avx2_mul_by1_x4 + call avx2_normalize_n_store + + vzeroupper +___ +$code.=<<___ if ($win64); + movaps %xmm6, -16*10(%rbp) + movaps %xmm7, -16*9(%rbp) + movaps %xmm8, -16*8(%rbp) + movaps %xmm9, -16*7(%rbp) + movaps %xmm10, -16*6(%rbp) + movaps %xmm11, -16*5(%rbp) + movaps %xmm12, -16*4(%rbp) + movaps %xmm13, -16*3(%rbp) + movaps %xmm14, -16*2(%rbp) + movaps %xmm15, -16*1(%rbp) +___ +$code.=<<___; + mov %rbp, %rsp + pop %rbp + ret +.size ecp_nistz256_avx2_point_add_affines_x4,.-ecp_nistz256_avx2_point_add_affines_x4 + +################################################################################ +# void ecp_nistz256_avx2_to_mont(void* RESULTx4, void *Ax4); +.globl ecp_nistz256_avx2_to_mont +.type ecp_nistz256_avx2_to_mont,\@function,2 +.align 32 +ecp_nistz256_avx2_to_mont: + vzeroupper +___ +$code.=<<___ if ($win64); + lea -8-16*10(%rsp), %rsp + vmovaps %xmm6, -8-16*10(%rax) + vmovaps %xmm7, -8-16*9(%rax) + vmovaps %xmm8, -8-16*8(%rax) + vmovaps %xmm9, -8-16*7(%rax) + vmovaps %xmm10, -8-16*6(%rax) + vmovaps %xmm11, -8-16*5(%rax) + vmovaps %xmm12, -8-16*4(%rax) + vmovaps %xmm13, -8-16*3(%rax) + vmovaps %xmm14, -8-16*2(%rax) + vmovaps %xmm15, -8-16*1(%rax) +___ +$code.=<<___; + vmovdqa .LAVX2_AND_MASK(%rip), $AND_MASK + lea .LTO_MONT_AVX2(%rip), %rdx + call avx2_mul_x4 + call avx2_normalize_n_store + + vzeroupper +___ +$code.=<<___ if ($win64); + movaps 16*0(%rsp), %xmm6 + movaps 16*1(%rsp), %xmm7 + movaps 16*2(%rsp), %xmm8 + movaps 16*3(%rsp), %xmm9 + movaps 16*4(%rsp), %xmm10 + movaps 16*5(%rsp), %xmm11 + movaps 16*6(%rsp), %xmm12 + movaps 16*7(%rsp), %xmm13 + movaps 16*8(%rsp), %xmm14 + movaps 16*9(%rsp), %xmm15 + lea 8+16*10(%rsp), %rsp +___ +$code.=<<___; + ret +.size ecp_nistz256_avx2_to_mont,.-ecp_nistz256_avx2_to_mont + +################################################################################ +# void ecp_nistz256_avx2_from_mont(void* RESULTx4, void *Ax4); +.globl ecp_nistz256_avx2_from_mont +.type ecp_nistz256_avx2_from_mont,\@function,2 +.align 32 +ecp_nistz256_avx2_from_mont: + vzeroupper +___ +$code.=<<___ if ($win64); + lea -8-16*10(%rsp), %rsp + vmovaps %xmm6, -8-16*10(%rax) + vmovaps %xmm7, -8-16*9(%rax) + vmovaps %xmm8, -8-16*8(%rax) + vmovaps %xmm9, -8-16*7(%rax) + vmovaps %xmm10, -8-16*6(%rax) + vmovaps %xmm11, -8-16*5(%rax) + vmovaps %xmm12, -8-16*4(%rax) + vmovaps %xmm13, -8-16*3(%rax) + vmovaps %xmm14, -8-16*2(%rax) + vmovaps %xmm15, -8-16*1(%rax) +___ +$code.=<<___; + vmovdqa .LAVX2_AND_MASK(%rip), $AND_MASK + lea .LFROM_MONT_AVX2(%rip), %rdx + call avx2_mul_x4 + call avx2_normalize_n_store + + vzeroupper +___ +$code.=<<___ if ($win64); + movaps 16*0(%rsp), %xmm6 + movaps 16*1(%rsp), %xmm7 + movaps 16*2(%rsp), %xmm8 + movaps 16*3(%rsp), %xmm9 + movaps 16*4(%rsp), %xmm10 + movaps 16*5(%rsp), %xmm11 + movaps 16*6(%rsp), %xmm12 + movaps 16*7(%rsp), %xmm13 + movaps 16*8(%rsp), %xmm14 + movaps 16*9(%rsp), %xmm15 + lea 8+16*10(%rsp), %rsp +___ +$code.=<<___; + ret +.size ecp_nistz256_avx2_from_mont,.-ecp_nistz256_avx2_from_mont + +################################################################################ +# void ecp_nistz256_avx2_set1(void* RESULTx4); +.globl ecp_nistz256_avx2_set1 +.type ecp_nistz256_avx2_set1,\@function,1 +.align 32 +ecp_nistz256_avx2_set1: + lea .LONE+128(%rip), %rax + lea 128(%rdi), %rdi + vzeroupper + vmovdqa 32*0-128(%rax), %ymm0 + vmovdqa 32*1-128(%rax), %ymm1 + vmovdqa 32*2-128(%rax), %ymm2 + vmovdqa 32*3-128(%rax), %ymm3 + vmovdqa 32*4-128(%rax), %ymm4 + vmovdqa 32*5-128(%rax), %ymm5 + vmovdqa %ymm0, 32*0-128(%rdi) + vmovdqa 32*6-128(%rax), %ymm0 + vmovdqa %ymm1, 32*1-128(%rdi) + vmovdqa 32*7-128(%rax), %ymm1 + vmovdqa %ymm2, 32*2-128(%rdi) + vmovdqa 32*8-128(%rax), %ymm2 + vmovdqa %ymm3, 32*3-128(%rdi) + vmovdqa %ymm4, 32*4-128(%rdi) + vmovdqa %ymm5, 32*5-128(%rdi) + vmovdqa %ymm0, 32*6-128(%rdi) + vmovdqa %ymm1, 32*7-128(%rdi) + vmovdqa %ymm2, 32*8-128(%rdi) + + vzeroupper + ret +.size ecp_nistz256_avx2_set1,.-ecp_nistz256_avx2_set1 +___ +} +{ +################################################################################ +# void ecp_nistz256_avx2_multi_select_w7(void* RESULT, void *in, +# int index0, int index1, int index2, int index3); +################################################################################ + +my ($val,$in_t,$index0,$index1,$index2,$index3)=("%rdi","%rsi","%edx","%ecx","%r8d","%r9d"); +my ($INDEX0,$INDEX1,$INDEX2,$INDEX3)=map("%ymm$_",(0..3)); +my ($R0a,$R0b,$R1a,$R1b,$R2a,$R2b,$R3a,$R3b)=map("%ymm$_",(4..11)); +my ($M0,$T0,$T1,$TMP0)=map("%ymm$_",(12..15)); + +$code.=<<___; +.globl ecp_nistz256_avx2_multi_select_w7 +.type ecp_nistz256_avx2_multi_select_w7,\@function,6 +.align 32 +ecp_nistz256_avx2_multi_select_w7: + vzeroupper +___ +$code.=<<___ if ($win64); + lea -8-16*10(%rsp), %rsp + vmovaps %xmm6, -8-16*10(%rax) + vmovaps %xmm7, -8-16*9(%rax) + vmovaps %xmm8, -8-16*8(%rax) + vmovaps %xmm9, -8-16*7(%rax) + vmovaps %xmm10, -8-16*6(%rax) + vmovaps %xmm11, -8-16*5(%rax) + vmovaps %xmm12, -8-16*4(%rax) + vmovaps %xmm13, -8-16*3(%rax) + vmovaps %xmm14, -8-16*2(%rax) + vmovaps %xmm15, -8-16*1(%rax) +___ +$code.=<<___; + lea .LIntOne(%rip), %rax + + vmovd $index0, %xmm0 + vmovd $index1, %xmm1 + vmovd $index2, %xmm2 + vmovd $index3, %xmm3 + + vpxor $R0a, $R0a, $R0a + vpxor $R0b, $R0b, $R0b + vpxor $R1a, $R1a, $R1a + vpxor $R1b, $R1b, $R1b + vpxor $R2a, $R2a, $R2a + vpxor $R2b, $R2b, $R2b + vpxor $R3a, $R3a, $R3a + vpxor $R3b, $R3b, $R3b + vmovdqa (%rax), $M0 + + vpermd $INDEX0, $R0a, $INDEX0 + vpermd $INDEX1, $R0a, $INDEX1 + vpermd $INDEX2, $R0a, $INDEX2 + vpermd $INDEX3, $R0a, $INDEX3 + + mov \$64, %ecx + lea 112($val), $val # size optimization + jmp .Lmulti_select_loop_avx2 + +# INDEX=0, corresponds to the point at infty (0,0) +.align 32 +.Lmulti_select_loop_avx2: + vpcmpeqd $INDEX0, $M0, $TMP0 + + vmovdqa `32*0+32*64*2*0`($in_t), $T0 + vmovdqa `32*1+32*64*2*0`($in_t), $T1 + vpand $TMP0, $T0, $T0 + vpand $TMP0, $T1, $T1 + vpxor $T0, $R0a, $R0a + vpxor $T1, $R0b, $R0b + + vpcmpeqd $INDEX1, $M0, $TMP0 + + vmovdqa `32*0+32*64*2*1`($in_t), $T0 + vmovdqa `32*1+32*64*2*1`($in_t), $T1 + vpand $TMP0, $T0, $T0 + vpand $TMP0, $T1, $T1 + vpxor $T0, $R1a, $R1a + vpxor $T1, $R1b, $R1b + + vpcmpeqd $INDEX2, $M0, $TMP0 + + vmovdqa `32*0+32*64*2*2`($in_t), $T0 + vmovdqa `32*1+32*64*2*2`($in_t), $T1 + vpand $TMP0, $T0, $T0 + vpand $TMP0, $T1, $T1 + vpxor $T0, $R2a, $R2a + vpxor $T1, $R2b, $R2b + + vpcmpeqd $INDEX3, $M0, $TMP0 + + vmovdqa `32*0+32*64*2*3`($in_t), $T0 + vmovdqa `32*1+32*64*2*3`($in_t), $T1 + vpand $TMP0, $T0, $T0 + vpand $TMP0, $T1, $T1 + vpxor $T0, $R3a, $R3a + vpxor $T1, $R3b, $R3b + + vpaddd (%rax), $M0, $M0 # increment + lea 32*2($in_t), $in_t + + dec %ecx + jnz .Lmulti_select_loop_avx2 + + vmovdqu $R0a, 32*0-112($val) + vmovdqu $R0b, 32*1-112($val) + vmovdqu $R1a, 32*2-112($val) + vmovdqu $R1b, 32*3-112($val) + vmovdqu $R2a, 32*4-112($val) + vmovdqu $R2b, 32*5-112($val) + vmovdqu $R3a, 32*6-112($val) + vmovdqu $R3b, 32*7-112($val) + + vzeroupper +___ +$code.=<<___ if ($win64); + movaps 16*0(%rsp), %xmm6 + movaps 16*1(%rsp), %xmm7 + movaps 16*2(%rsp), %xmm8 + movaps 16*3(%rsp), %xmm9 + movaps 16*4(%rsp), %xmm10 + movaps 16*5(%rsp), %xmm11 + movaps 16*6(%rsp), %xmm12 + movaps 16*7(%rsp), %xmm13 + movaps 16*8(%rsp), %xmm14 + movaps 16*9(%rsp), %xmm15 + lea 8+16*10(%rsp), %rsp +___ +$code.=<<___; + ret +.size ecp_nistz256_avx2_multi_select_w7,.-ecp_nistz256_avx2_multi_select_w7 + +.extern OPENSSL_ia32cap_P +.globl ecp_nistz_avx2_eligible +.type ecp_nistz_avx2_eligible,\@abi-omnipotent +.align 32 +ecp_nistz_avx2_eligible: + mov OPENSSL_ia32cap_P+8(%rip),%eax + shr \$5,%eax + and \$1,%eax + ret +.size ecp_nistz_avx2_eligible,.-ecp_nistz_avx2_eligible +___ +} +}} else {{ # assembler is too old +$code.=<<___; +.text + +.globl ecp_nistz256_avx2_transpose_convert +.globl ecp_nistz256_avx2_convert_transpose_back +.globl ecp_nistz256_avx2_point_add_affine_x4 +.globl ecp_nistz256_avx2_point_add_affines_x4 +.globl ecp_nistz256_avx2_to_mont +.globl ecp_nistz256_avx2_from_mont +.globl ecp_nistz256_avx2_set1 +.globl ecp_nistz256_avx2_multi_select_w7 +.type ecp_nistz256_avx2_multi_select_w7,\@abi-omnipotent +ecp_nistz256_avx2_transpose_convert: +ecp_nistz256_avx2_convert_transpose_back: +ecp_nistz256_avx2_point_add_affine_x4: +ecp_nistz256_avx2_point_add_affines_x4: +ecp_nistz256_avx2_to_mont: +ecp_nistz256_avx2_from_mont: +ecp_nistz256_avx2_set1: +ecp_nistz256_avx2_multi_select_w7: + .byte 0x0f,0x0b # ud2 + ret +.size ecp_nistz256_avx2_multi_select_w7,.-ecp_nistz256_avx2_multi_select_w7 + +.globl ecp_nistz_avx2_eligible +.type ecp_nistz_avx2_eligible,\@abi-omnipotent +ecp_nistz_avx2_eligible: + xor %eax,%eax + ret +.size ecp_nistz_avx2_eligible,.-ecp_nistz_avx2_eligible +___ +}} + +foreach (split("\n",$code)) { + s/\`([^\`]*)\`/eval($1)/geo; + + print $_,"\n"; +} + +close STDOUT; diff --git a/crypto/ec/asm/ecp_nistz256-x86_64.pl b/crypto/ec/asm/ecp_nistz256-x86_64.pl new file mode 100755 index 0000000000..c4b6d0f741 --- /dev/null +++ b/crypto/ec/asm/ecp_nistz256-x86_64.pl @@ -0,0 +1,3092 @@ +#!/usr/bin/env perl + +############################################################################## +# # +# Copyright 2014 Intel Corporation # +# # +# Licensed under the Apache License, Version 2.0 (the "License"); # +# you may not use this file except in compliance with the License. # +# You may obtain a copy of the License at # +# # +# http://www.apache.org/licenses/LICENSE-2.0 # +# # +# Unless required by applicable law or agreed to in writing, software # +# distributed under the License is distributed on an "AS IS" BASIS, # +# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. # +# See the License for the specific language governing permissions and # +# limitations under the License. # +# # +############################################################################## +# # +# Developers and authors: # +# Shay Gueron (1, 2), and Vlad Krasnov (1) # +# (1) Intel Corporation, Israel Development Center # +# (2) University of Haifa # +# Reference: # +# S.Gueron and V.Krasnov, "Fast Prime Field Elliptic Curve Cryptography with# +# 256 Bit Primes" # +# # +############################################################################## + +# Further optimization by : +# +# this/original +# Opteron +8-33% +# Bulldozer +10-30% +# P4 +14-38% +# Westmere +8-23% +# Sandy Bridge +8-24% +# Ivy Bridge +7-25% +# Haswell +5-25% +# Atom +10-32% +# VIA Nano +37-130% +# +# Ranges denote minimum and maximum improvement coefficients depending +# on benchmark. + +$flavour = shift; +$output = shift; +if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } + +$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 $output"; +*STDOUT=*OUT; + +if (`$ENV{CC} -Wa,-v -c -o /dev/null -x assembler /dev/null 2>&1` + =~ /GNU assembler version ([2-9]\.[0-9]+)/) { + $avx = ($1>=2.19) + ($1>=2.22); + $addx = ($1>=2.23); +} + +if (!$addx && $win64 && ($flavour =~ /nasm/ || $ENV{ASM} =~ /nasm/) && + `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) { + $avx = ($1>=2.09) + ($1>=2.10); + $addx = ($1>=2.10); +} + +if (!$addx && $win64 && ($flavour =~ /masm/ || $ENV{ASM} =~ /ml64/) && + `ml64 2>&1` =~ /Version ([0-9]+)\./) { + $avx = ($1>=10) + ($1>=11); + $addx = ($1>=12); +} + +if (!$addx && `$ENV{CC} -v 2>&1` =~ /(^clang version|based on LLVM) ([3-9])\.([0-9]+)/) { + my $ver = $2 + $3/100.0; # 3.1->3.01, 3.10->3.10 + $avx = ($ver>=3.0) + ($ver>=3.01); + $addx = ($ver>=3.03); +} + +$code.=<<___; +.text +.extern OPENSSL_ia32cap_P + +# The polynomial +.align 64 +.Lpoly: +.quad 0xffffffffffffffff, 0x00000000ffffffff, 0x0000000000000000, 0xffffffff00000001 + +# 2^512 mod P precomputed for NIST P256 polynomial +.LRR: +.quad 0x0000000000000003, 0xfffffffbffffffff, 0xfffffffffffffffe, 0x00000004fffffffd + +.LOne: +.long 1,1,1,1,1,1,1,1 +.LTwo: +.long 2,2,2,2,2,2,2,2 +.LThree: +.long 3,3,3,3,3,3,3,3 +.LONE_mont: +.quad 0x0000000000000001, 0xffffffff00000000, 0xffffffffffffffff, 0x00000000fffffffe +___ + +{ +################################################################################ +# void ecp_nistz256_mul_by_2(uint64_t res[4], uint64_t a[4]); + +my ($a0,$a1,$a2,$a3)=map("%r$_",(8..11)); +my ($t0,$t1,$t2,$t3,$t4)=("%rax","%rdx","%rcx","%r12","%r13"); +my ($r_ptr,$a_ptr,$b_ptr)=("%rdi","%rsi","%rdx"); + +$code.=<<___; + +.globl ecp_nistz256_mul_by_2 +.type ecp_nistz256_mul_by_2,\@function,2 +.align 64 +ecp_nistz256_mul_by_2: + push %r12 + push %r13 + + mov 8*0($a_ptr), $a0 + mov 8*1($a_ptr), $a1 + add $a0, $a0 # a0:a3+a0:a3 + mov 8*2($a_ptr), $a2 + adc $a1, $a1 + mov 8*3($a_ptr), $a3 + lea .Lpoly(%rip), $a_ptr + mov $a0, $t0 + adc $a2, $a2 + adc $a3, $a3 + mov $a1, $t1 + sbb $t4, $t4 + + sub 8*0($a_ptr), $a0 + mov $a2, $t2 + sbb 8*1($a_ptr), $a1 + sbb 8*2($a_ptr), $a2 + mov $a3, $t3 + sbb 8*3($a_ptr), $a3 + test $t4, $t4 + + cmovz $t0, $a0 + cmovz $t1, $a1 + mov $a0, 8*0($r_ptr) + cmovz $t2, $a2 + mov $a1, 8*1($r_ptr) + cmovz $t3, $a3 + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) + + pop %r13 + pop %r12 + ret +.size ecp_nistz256_mul_by_2,.-ecp_nistz256_mul_by_2 + +################################################################################ +# void ecp_nistz256_div_by_2(uint64_t res[4], uint64_t a[4]); +.globl ecp_nistz256_div_by_2 +.type ecp_nistz256_div_by_2,\@function,2 +.align 32 +ecp_nistz256_div_by_2: + push %r12 + push %r13 + + mov 8*0($a_ptr), $a0 + mov 8*1($a_ptr), $a1 + mov 8*2($a_ptr), $a2 + mov $a0, $t0 + mov 8*3($a_ptr), $a3 + lea .Lpoly(%rip), $a_ptr + + mov $a1, $t1 + xor $t4, $t4 + add 8*0($a_ptr), $a0 + mov $a2, $t2 + adc 8*1($a_ptr), $a1 + adc 8*2($a_ptr), $a2 + mov $a3, $t3 + adc 8*3($a_ptr), $a3 + adc \$0, $t4 + xor $a_ptr, $a_ptr # borrow $a_ptr + test \$1, $t0 + + cmovz $t0, $a0 + cmovz $t1, $a1 + cmovz $t2, $a2 + cmovz $t3, $a3 + cmovz $a_ptr, $t4 + + mov $a1, $t0 # a0:a3>>1 + shr \$1, $a0 + shl \$63, $t0 + mov $a2, $t1 + shr \$1, $a1 + or $t0, $a0 + shl \$63, $t1 + mov $a3, $t2 + shr \$1, $a2 + or $t1, $a1 + shl \$63, $t2 + shr \$1, $a3 + shl \$63, $t4 + or $t2, $a2 + or $t4, $a3 + + mov $a0, 8*0($r_ptr) + mov $a1, 8*1($r_ptr) + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) + + pop %r13 + pop %r12 + ret +.size ecp_nistz256_div_by_2,.-ecp_nistz256_div_by_2 + +################################################################################ +# void ecp_nistz256_mul_by_3(uint64_t res[4], uint64_t a[4]); +.globl ecp_nistz256_mul_by_3 +.type ecp_nistz256_mul_by_3,\@function,2 +.align 32 +ecp_nistz256_mul_by_3: + push %r12 + push %r13 + + mov 8*0($a_ptr), $a0 + xor $t4, $t4 + mov 8*1($a_ptr), $a1 + add $a0, $a0 # a0:a3+a0:a3 + mov 8*2($a_ptr), $a2 + adc $a1, $a1 + mov 8*3($a_ptr), $a3 + mov $a0, $t0 + adc $a2, $a2 + adc $a3, $a3 + mov $a1, $t1 + adc \$0, $t4 + + sub \$-1, $a0 + mov $a2, $t2 + sbb .Lpoly+8*1(%rip), $a1 + sbb \$0, $a2 + mov $a3, $t3 + sbb .Lpoly+8*3(%rip), $a3 + test $t4, $t4 + + cmovz $t0, $a0 + cmovz $t1, $a1 + cmovz $t2, $a2 + cmovz $t3, $a3 + + xor $t4, $t4 + add 8*0($a_ptr), $a0 # a0:a3+=a_ptr[0:3] + adc 8*1($a_ptr), $a1 + mov $a0, $t0 + adc 8*2($a_ptr), $a2 + adc 8*3($a_ptr), $a3 + mov $a1, $t1 + adc \$0, $t4 + + sub \$-1, $a0 + mov $a2, $t2 + sbb .Lpoly+8*1(%rip), $a1 + sbb \$0, $a2 + mov $a3, $t3 + sbb .Lpoly+8*3(%rip), $a3 + test $t4, $t4 + + cmovz $t0, $a0 + cmovz $t1, $a1 + mov $a0, 8*0($r_ptr) + cmovz $t2, $a2 + mov $a1, 8*1($r_ptr) + cmovz $t3, $a3 + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) + + pop %r13 + pop %r12 + ret +.size ecp_nistz256_mul_by_3,.-ecp_nistz256_mul_by_3 + +################################################################################ +# void ecp_nistz256_add(uint64_t res[4], uint64_t a[4], uint64_t b[4]); +.globl ecp_nistz256_add +.type ecp_nistz256_add,\@function,3 +.align 32 +ecp_nistz256_add: + push %r12 + push %r13 + + mov 8*0($a_ptr), $a0 + xor $t4, $t4 + mov 8*1($a_ptr), $a1 + mov 8*2($a_ptr), $a2 + mov 8*3($a_ptr), $a3 + lea .Lpoly(%rip), $a_ptr + + add 8*0($b_ptr), $a0 + adc 8*1($b_ptr), $a1 + mov $a0, $t0 + adc 8*2($b_ptr), $a2 + adc 8*3($b_ptr), $a3 + mov $a1, $t1 + adc \$0, $t4 + + sub 8*0($a_ptr), $a0 + mov $a2, $t2 + sbb 8*1($a_ptr), $a1 + sbb 8*2($a_ptr), $a2 + mov $a3, $t3 + sbb 8*3($a_ptr), $a3 + test $t4, $t4 + + cmovz $t0, $a0 + cmovz $t1, $a1 + mov $a0, 8*0($r_ptr) + cmovz $t2, $a2 + mov $a1, 8*1($r_ptr) + cmovz $t3, $a3 + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) + + pop %r13 + pop %r12 + ret +.size ecp_nistz256_add,.-ecp_nistz256_add + +################################################################################ +# void ecp_nistz256_sub(uint64_t res[4], uint64_t a[4], uint64_t b[4]); +.globl ecp_nistz256_sub +.type ecp_nistz256_sub,\@function,3 +.align 32 +ecp_nistz256_sub: + push %r12 + push %r13 + + mov 8*0($a_ptr), $a0 + xor $t4, $t4 + mov 8*1($a_ptr), $a1 + mov 8*2($a_ptr), $a2 + mov 8*3($a_ptr), $a3 + lea .Lpoly(%rip), $a_ptr + + sub 8*0($b_ptr), $a0 + sbb 8*1($b_ptr), $a1 + mov $a0, $t0 + sbb 8*2($b_ptr), $a2 + sbb 8*3($b_ptr), $a3 + mov $a1, $t1 + sbb \$0, $t4 + + add 8*0($a_ptr), $a0 + mov $a2, $t2 + adc 8*1($a_ptr), $a1 + adc 8*2($a_ptr), $a2 + mov $a3, $t3 + adc 8*3($a_ptr), $a3 + test $t4, $t4 + + cmovz $t0, $a0 + cmovz $t1, $a1 + mov $a0, 8*0($r_ptr) + cmovz $t2, $a2 + mov $a1, 8*1($r_ptr) + cmovz $t3, $a3 + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) + + pop %r13 + pop %r12 + ret +.size ecp_nistz256_sub,.-ecp_nistz256_sub + +################################################################################ +# void ecp_nistz256_neg(uint64_t res[4], uint64_t a[4]); +.globl ecp_nistz256_neg +.type ecp_nistz256_neg,\@function,2 +.align 32 +ecp_nistz256_neg: + push %r12 + push %r13 + + xor $a0, $a0 + xor $a1, $a1 + xor $a2, $a2 + xor $a3, $a3 + xor $t4, $t4 + + sub 8*0($a_ptr), $a0 + sbb 8*1($a_ptr), $a1 + sbb 8*2($a_ptr), $a2 + mov $a0, $t0 + sbb 8*3($a_ptr), $a3 + lea .Lpoly(%rip), $a_ptr + mov $a1, $t1 + sbb \$0, $t4 + + add 8*0($a_ptr), $a0 + mov $a2, $t2 + adc 8*1($a_ptr), $a1 + adc 8*2($a_ptr), $a2 + mov $a3, $t3 + adc 8*3($a_ptr), $a3 + test $t4, $t4 + + cmovz $t0, $a0 + cmovz $t1, $a1 + mov $a0, 8*0($r_ptr) + cmovz $t2, $a2 + mov $a1, 8*1($r_ptr) + cmovz $t3, $a3 + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) + + pop %r13 + pop %r12 + ret +.size ecp_nistz256_neg,.-ecp_nistz256_neg +___ +} +{ +my ($r_ptr,$a_ptr,$b_org,$b_ptr)=("%rdi","%rsi","%rdx","%rbx"); +my ($acc0,$acc1,$acc2,$acc3,$acc4,$acc5,$acc6,$acc7)=map("%r$_",(8..15)); +my ($t0,$t1,$t2,$t3,$t4)=("%rcx","%rbp","%rbx","%rdx","%rax"); +my ($poly1,$poly3)=($acc6,$acc7); + +$code.=<<___; +################################################################################ +# void ecp_nistz256_to_mont( +# uint64_t res[4], +# uint64_t in[4]); +.globl ecp_nistz256_to_mont +.type ecp_nistz256_to_mont,\@function,2 +.align 32 +ecp_nistz256_to_mont: +___ +$code.=<<___ if ($addx); + mov \$0x80100, %ecx + and OPENSSL_ia32cap_P+8(%rip), %ecx +___ +$code.=<<___; + lea .LRR(%rip), $b_org + jmp .Lmul_mont +.size ecp_nistz256_to_mont,.-ecp_nistz256_to_mont + +################################################################################ +# void ecp_nistz256_mul_mont( +# uint64_t res[4], +# uint64_t a[4], +# uint64_t b[4]); + +.globl ecp_nistz256_mul_mont +.type ecp_nistz256_mul_mont,\@function,3 +.align 32 +ecp_nistz256_mul_mont: +___ +$code.=<<___ if ($addx); + mov \$0x80100, %ecx + and OPENSSL_ia32cap_P+8(%rip), %ecx +___ +$code.=<<___; +.Lmul_mont: + push %rbp + push %rbx + push %r12 + push %r13 + push %r14 + push %r15 +___ +$code.=<<___ if ($addx); + cmp \$0x80100, %ecx + je .Lmul_montx +___ +$code.=<<___; + mov $b_org, $b_ptr + mov 8*0($b_org), %rax + mov 8*0($a_ptr), $acc1 + mov 8*1($a_ptr), $acc2 + mov 8*2($a_ptr), $acc3 + mov 8*3($a_ptr), $acc4 + + call __ecp_nistz256_mul_montq +___ +$code.=<<___ if ($addx); + jmp .Lmul_mont_done + +.align 32 +.Lmul_montx: + mov $b_org, $b_ptr + mov 8*0($b_org), %rdx + mov 8*0($a_ptr), $acc1 + mov 8*1($a_ptr), $acc2 + mov 8*2($a_ptr), $acc3 + mov 8*3($a_ptr), $acc4 + lea -128($a_ptr), $a_ptr # control u-op density + + call __ecp_nistz256_mul_montx +___ +$code.=<<___; +.Lmul_mont_done: + pop %r15 + pop %r14 + pop %r13 + pop %r12 + pop %rbx + pop %rbp + ret +.size ecp_nistz256_mul_mont,.-ecp_nistz256_mul_mont + +.type __ecp_nistz256_mul_montq,\@abi-omnipotent +.align 32 +__ecp_nistz256_mul_montq: + ######################################################################## + # Multiply a by b[0] + mov %rax, $t1 + mulq $acc1 + mov .Lpoly+8*1(%rip),$poly1 + mov %rax, $acc0 + mov $t1, %rax + mov %rdx, $acc1 + + mulq $acc2 + mov .Lpoly+8*3(%rip),$poly3 + add %rax, $acc1 + mov $t1, %rax + adc \$0, %rdx + mov %rdx, $acc2 + + mulq $acc3 + add %rax, $acc2 + mov $t1, %rax + adc \$0, %rdx + mov %rdx, $acc3 + + mulq $acc4 + add %rax, $acc3 + mov $acc0, %rax + adc \$0, %rdx + xor $acc5, $acc5 + mov %rdx, $acc4 + + ######################################################################## + # First reduction step + # Basically now we want to multiply acc[0] by p256, + # and add the result to the acc. + # Due to the special form of p256 we do some optimizations + # + # acc[0] x p256[0] = acc[0] x 2^64 - acc[0] + # then we add acc[0] and get acc[0] x 2^64 + + mulq $poly1 + xor $t0, $t0 + add $acc0, $acc1 # +=acc[0]*2^64 + adc \$0, %rdx + add %rax, $acc1 + mov $acc0, %rax + + # acc[0] x p256[2] = 0 + adc %rdx, $acc2 + adc \$0, $t0 + + mulq $poly3 + xor $acc0, $acc0 + add $t0, $acc3 + adc \$0, %rdx + add %rax, $acc3 + mov 8*1($b_ptr), %rax + adc %rdx, $acc4 + adc \$0, $acc5 + + ######################################################################## + # Multiply by b[1] + mov %rax, $t1 + mulq 8*0($a_ptr) + add %rax, $acc1 + mov $t1, %rax + adc \$0, %rdx + mov %rdx, $t0 + + mulq 8*1($a_ptr) + add $t0, $acc2 + adc \$0, %rdx + add %rax, $acc2 + mov $t1, %rax + adc \$0, %rdx + mov %rdx, $t0 + + mulq 8*2($a_ptr) + add $t0, $acc3 + adc \$0, %rdx + add %rax, $acc3 + mov $t1, %rax + adc \$0, %rdx + mov %rdx, $t0 + + mulq 8*3($a_ptr) + add $t0, $acc4 + adc \$0, %rdx + add %rax, $acc4 + mov $acc1, %rax + adc %rdx, $acc5 + adc \$0, $acc0 + + ######################################################################## + # Second reduction step + mulq $poly1 + xor $t0, $t0 + add $acc1, $acc2 + adc \$0, %rdx + add %rax, $acc2 + mov $acc1, %rax + adc %rdx, $acc3 + adc \$0, $t0 + + mulq $poly3 + xor $acc1, $acc1 + add $t0, $acc4 + adc \$0, %rdx + add %rax, $acc4 + mov 8*2($b_ptr), %rax + adc %rdx, $acc5 + adc \$0, $acc0 + + ######################################################################## + # Multiply by b[2] + mov %rax, $t1 + mulq 8*0($a_ptr) + add %rax, $acc2 + mov $t1, %rax + adc \$0, %rdx + mov %rdx, $t0 + + mulq 8*1($a_ptr) + add $t0, $acc3 + adc \$0, %rdx + add %rax, $acc3 + mov $t1, %rax + adc \$0, %rdx + mov %rdx, $t0 + + mulq 8*2($a_ptr) + add $t0, $acc4 + adc \$0, %rdx + add %rax, $acc4 + mov $t1, %rax + adc \$0, %rdx + mov %rdx, $t0 + + mulq 8*3($a_ptr) + add $t0, $acc5 + adc \$0, %rdx + add %rax, $acc5 + mov $acc2, %rax + adc %rdx, $acc0 + adc \$0, $acc1 + + ######################################################################## + # Third reduction step + mulq $poly1 + xor $t0, $t0 + add $acc2, $acc3 + adc \$0, %rdx + add %rax, $acc3 + mov $acc2, %rax + adc %rdx, $acc4 + adc \$0, $t0 + + mulq $poly3 + xor $acc2, $acc2 + add $t0, $acc5 + adc \$0, %rdx + add %rax, $acc5 + mov 8*3($b_ptr), %rax + adc %rdx, $acc0 + adc \$0, $acc1 + + ######################################################################## + # Multiply by b[3] + mov %rax, $t1 + mulq 8*0($a_ptr) + add %rax, $acc3 + mov $t1, %rax + adc \$0, %rdx + mov %rdx, $t0 + + mulq 8*1($a_ptr) + add $t0, $acc4 + adc \$0, %rdx + add %rax, $acc4 + mov $t1, %rax + adc \$0, %rdx + mov %rdx, $t0 + + mulq 8*2($a_ptr) + add $t0, $acc5 + adc \$0, %rdx + add %rax, $acc5 + mov $t1, %rax + adc \$0, %rdx + mov %rdx, $t0 + + mulq 8*3($a_ptr) + add $t0, $acc0 + adc \$0, %rdx + add %rax, $acc0 + mov $acc3, %rax + adc %rdx, $acc1 + adc \$0, $acc2 + + ######################################################################## + # Final reduction step + mulq $poly1 + #xor $t0, $t0 + add $acc3, $acc4 + adc \$0, %rdx + add %rax, $acc4 + mov $acc3, %rax + adc %rdx, $acc5 + #adc \$0, $t0 # doesn't overflow + + mulq $poly3 + #add $t0, $acc0 + #adc \$0, %rdx + mov $acc4, $t0 + add %rax, $acc0 + adc %rdx, $acc1 + mov $acc5, $t1 + adc \$0, $acc2 + + ######################################################################## + # Branch-less conditional subtraction of P + sub \$-1, $acc4 # .Lpoly[0] + mov $acc0, $t2 + sbb $poly1, $acc5 # .Lpoly[1] + sbb \$0, $acc0 # .Lpoly[2] + mov $acc1, $t3 + sbb $poly3, $acc1 # .Lpoly[3] + neg $acc2 + + cmovnc $t0, $acc4 + cmovnc $t1, $acc5 + mov $acc4, 8*0($r_ptr) + cmovnc $t2, $acc0 + mov $acc5, 8*1($r_ptr) + cmovnc $t3, $acc1 + mov $acc0, 8*2($r_ptr) + mov $acc1, 8*3($r_ptr) + + ret +.size __ecp_nistz256_mul_montq,.-__ecp_nistz256_mul_montq + +################################################################################ +# void ecp_nistz256_sqr_mont( +# uint64_t res[4], +# uint64_t a[4]); + +# we optimize the square according to S.Gueron and V.Krasnov, +# "Speeding up Big-Number Squaring" +.globl ecp_nistz256_sqr_mont +.type ecp_nistz256_sqr_mont,\@function,2 +.align 32 +ecp_nistz256_sqr_mont: +___ +$code.=<<___ if ($addx); + mov \$0x80100, %ecx + and OPENSSL_ia32cap_P+8(%rip), %ecx +___ +$code.=<<___; + push %rbp + push %rbx + push %r12 + push %r13 + push %r14 + push %r15 +___ +$code.=<<___ if ($addx); + cmp \$0x80100, %ecx + je .Lsqr_montx +___ +$code.=<<___; + mov 8*0($a_ptr), %rax + mov 8*1($a_ptr), $acc6 + mov 8*2($a_ptr), $acc7 + mov 8*3($a_ptr), $acc0 + + call __ecp_nistz256_sqr_montq +___ +$code.=<<___ if ($addx); + jmp .Lsqr_mont_done + +.align 32 +.Lsqr_montx: + mov 8*0($a_ptr), %rdx + mov 8*1($a_ptr), $acc6 + mov 8*2($a_ptr), $acc7 + mov 8*3($a_ptr), $acc0 + lea -128($a_ptr), $a_ptr # control u-op density + + call __ecp_nistz256_sqr_montx +___ +$code.=<<___; +.Lsqr_mont_done: + pop %r15 + pop %r14 + pop %r13 + pop %r12 + pop %rbx + pop %rbp + ret +.size ecp_nistz256_sqr_mont,.-ecp_nistz256_sqr_mont + +.type __ecp_nistz256_sqr_montq,\@abi-omnipotent +.align 32 +__ecp_nistz256_sqr_montq: + mov %rax, $acc5 + mulq $acc6 # a[1]*a[0] + mov %rax, $acc1 + mov $acc7, %rax + mov %rdx, $acc2 + + mulq $acc5 # a[0]*a[2] + add %rax, $acc2 + mov $acc0, %rax + adc \$0, %rdx + mov %rdx, $acc3 + + mulq $acc5 # a[0]*a[3] + add %rax, $acc3 + mov $acc7, %rax + adc \$0, %rdx + mov %rdx, $acc4 + + ################################# + mulq $acc6 # a[1]*a[2] + add %rax, $acc3 + mov $acc0, %rax + adc \$0, %rdx + mov %rdx, $t1 + + mulq $acc6 # a[1]*a[3] + add %rax, $acc4 + mov $acc0, %rax + adc \$0, %rdx + add $t1, $acc4 + mov %rdx, $acc5 + adc \$0, $acc5 + + ################################# + mulq $acc7 # a[2]*a[3] + xor $acc7, $acc7 + add %rax, $acc5 + mov 8*0($a_ptr), %rax + mov %rdx, $acc6 + adc \$0, $acc6 + + add $acc1, $acc1 # acc1:6<<1 + adc $acc2, $acc2 + adc $acc3, $acc3 + adc $acc4, $acc4 + adc $acc5, $acc5 + adc $acc6, $acc6 + adc \$0, $acc7 + + mulq %rax + mov %rax, $acc0 + mov 8*1($a_ptr), %rax + mov %rdx, $t0 + + mulq %rax + add $t0, $acc1 + adc %rax, $acc2 + mov 8*2($a_ptr), %rax + adc \$0, %rdx + mov %rdx, $t0 + + mulq %rax + add $t0, $acc3 + adc %rax, $acc4 + mov 8*3($a_ptr), %rax + adc \$0, %rdx + mov %rdx, $t0 + + mulq %rax + add $t0, $acc5 + adc %rax, $acc6 + mov $acc0, %rax + adc %rdx, $acc7 + + mov .Lpoly+8*1(%rip), $a_ptr + mov .Lpoly+8*3(%rip), $t1 + + ########################################## + # Now the reduction + # First iteration + mulq $a_ptr + #xor $t0, $t0 + add $acc0, $acc1 + adc \$0, %rdx + add %rax, $acc1 + mov $acc0, %rax + adc %rdx, $acc2 # doesn't overflow + #adc \$0, $t0 + + mulq $t1 + xor $acc0, $acc0 + #add $t0, $acc3 + #adc \$0, %rdx + add %rax, $acc3 + mov $acc1, %rax + adc %rdx, $acc4 + adc \$0, $acc0 + + ########################################## + # Second iteration + mulq $a_ptr + #xor $t0, $t0 + add $acc1, $acc2 + adc \$0, %rdx + add %rax, $acc2 + mov $acc1, %rax + adc %rdx, $acc3 # doesn't overflow + #adc \$0, $t0 + + mulq $t1 + xor $acc1, $acc1 + #add $t0, $acc4 + #adc \$0, %rdx + add %rax, $acc4 + mov $acc2, %rax + adc %rdx, $acc0 + adc \$0, $acc1 + + ########################################## + # Third iteration + mulq $a_ptr + #xor $t0, $t0 + add $acc2, $acc3 + adc \$0, %rdx + add %rax, $acc3 + mov $acc2, %rax + adc %rdx, $acc4 # doesn't overflow + #adc \$0, $t0 + + mulq $t1 + xor $acc2, $acc2 + #add $t0, $acc0 + #adc \$0, %rdx + add %rax, $acc0 + mov $acc3, %rax + adc %rdx, $acc1 + adc \$0, $acc2 + + ########################################### + # Last iteration + mulq $a_ptr + #xor $t0, $t0 + add $acc3, $acc4 + adc \$0, %rdx + add %rax, $acc4 + mov $acc3, %rax + adc %rdx, $acc0 # doesn't overflow + #adc \$0, $t0 + + mulq $t1 + xor $acc3, $acc3 + #add $t0, $acc1 + #adc \$0, %rdx + add %rax, $acc1 + adc %rdx, $acc2 + adc \$0, $acc3 + + ############################################ + # Add the rest of the acc + add $acc0, $acc5 + mov $acc4, $acc0 + adc $acc1, $acc6 + adc $acc2, $acc7 + mov $acc5, $acc1 + adc \$0, $acc3 + + sub \$-1, $acc4 # .Lpoly[0] + mov $acc6, $acc2 + sbb $a_ptr, $acc5 # .Lpoly[1] + sbb \$0, $acc6 # .Lpoly[2] + mov $acc7, $t0 + sbb $t1, $acc7 # .Lpoly[3] + neg $acc3 + + cmovnc $acc0, $acc4 + cmovnc $acc1, $acc5 + mov $acc4, 8*0($r_ptr) + cmovnc $acc2, $acc6 + mov $acc5, 8*1($r_ptr) + cmovnc $t0, $acc7 + mov $acc6, 8*2($r_ptr) + mov $acc7, 8*3($r_ptr) + + ret +.size __ecp_nistz256_sqr_montq,.-__ecp_nistz256_sqr_montq +___ + +if ($addx) { +$code.=<<___; +.type __ecp_nistz256_mul_montx,\@abi-omnipotent +.align 32 +__ecp_nistz256_mul_montx: + ######################################################################## + # Multiply by b[0] + mulx $acc1, $acc0, $acc1 + mulx $acc2, $t0, $acc2 + mov \$32, $poly1 + xor $acc5, $acc5 # cf=0 + mulx $acc3, $t1, $acc3 + mov .Lpoly+8*3(%rip), $poly3 + adc $t0, $acc1 + mulx $acc4, $t0, $acc4 + mov $acc0, %rdx + adc $t1, $acc2 + shlx $poly1,$acc0,$t1 + adc $t0, $acc3 + shrx $poly1,$acc0,$t0 + adc \$0, $acc4 + + ######################################################################## + # First reduction step + xor $acc0, $acc0 # $acc0=0,cf=0,of=0 + adox $t1, $acc1 + adox $t0, $acc2 + + mulx $poly3, $t0, $t1 + mov 8*1($b_ptr), %rdx + adox $t0, $acc3 + adcx $t1, $acc4 + + adox $acc0, $acc4 + adcx $acc0, $acc5 # cf=0 + adox $acc0, $acc5 # of=0 + + ######################################################################## + # Multiply by b[1] + mulx 8*0+128($a_ptr), $t0, $t1 + adcx $t0, $acc1 + adox $t1, $acc2 + + mulx 8*1+128($a_ptr), $t0, $t1 + adcx $t0, $acc2 + adox $t1, $acc3 + + mulx 8*2+128($a_ptr), $t0, $t1 + adcx $t0, $acc3 + adox $t1, $acc4 + + mulx 8*3+128($a_ptr), $t0, $t1 + mov $acc1, %rdx + adcx $t0, $acc4 + shlx $poly1, $acc1, $t0 + adox $t1, $acc5 + shrx $poly1, $acc1, $t1 + + adcx $acc0, $acc5 + adox $acc0, $acc0 + adc \$0, $acc0 + + ######################################################################## + # Second reduction step + xor $acc1 ,$acc1 # $acc1=0,cf=0,of=0 + adox $t0, $acc2 + adox $t1, $acc3 + + mulx $poly3, $t0, $t1 + mov 8*2($b_ptr), %rdx + adox $t0, $acc4 + adcx $t1, $acc5 + + adox $acc1, $acc5 + adcx $acc1, $acc0 # cf=0 + adox $acc1, $acc0 # of=0 + + ######################################################################## + # Multiply by b[2] + mulx 8*0+128($a_ptr), $t0, $t1 + adcx $t0, $acc2 + adox $t1, $acc3 + + mulx 8*1+128($a_ptr), $t0, $t1 + adcx $t0, $acc3 + adox $t1, $acc4 + + mulx 8*2+128($a_ptr), $t0, $t1 + adcx $t0, $acc4 + adox $t1, $acc5 + + mulx 8*3+128($a_ptr), $t0, $t1 + mov $acc2, %rdx + adcx $t0, $acc5 + shlx $poly1, $acc2, $t0 + adox $t1, $acc0 + shrx $poly1, $acc2, $t1 + + adcx $acc1, $acc0 + adox $acc1, $acc1 + adc \$0, $acc1 + + ######################################################################## + # Third reduction step + xor $acc2, $acc2 # $acc2=0,cf=0,of=0 + adox $t0, $acc3 + adox $t1, $acc4 + + mulx $poly3, $t0, $t1 + mov 8*3($b_ptr), %rdx + adox $t0, $acc5 + adcx $t1, $acc0 + + adox $acc2, $acc0 + adcx $acc2, $acc1 # cf=0 + adox $acc2, $acc1 # of=0 + + ######################################################################## + # Multiply by b[3] + mulx 8*0+128($a_ptr), $t0, $t1 + adcx $t0, $acc3 + adox $t1, $acc4 + + mulx 8*1+128($a_ptr), $t0, $t1 + adcx $t0, $acc4 + adox $t1, $acc5 + + mulx 8*2+128($a_ptr), $t0, $t1 + adcx $t0, $acc5 + adox $t1, $acc0 + + mulx 8*3+128($a_ptr), $t0, $t1 + mov $acc3, %rdx + adcx $t0, $acc0 + shlx $poly1, $acc3, $t0 + adox $t1, $acc1 + shrx $poly1, $acc3, $t1 + + adcx $acc2, $acc1 + adox $acc2, $acc2 + adc \$0, $acc2 + + ######################################################################## + # Fourth reduction step + xor $acc3, $acc3 # $acc3=0,cf=0,of=0 + adox $t0, $acc4 + adox $t1, $acc5 + + mulx $poly3, $t0, $t1 + mov $acc4, $t2 + mov .Lpoly+8*1(%rip), $poly1 + adcx $t0, $acc0 + adox $t1, $acc1 + mov $acc5, $t3 + + adcx $acc3, $acc1 + adox $acc3, $acc2 + adc \$0, $acc2 + mov $acc0, $t0 + + ######################################################################## + # Branch-less conditional subtraction of P + xor %eax, %eax + sbb \$-1, $acc4 # .Lpoly[0] + sbb $poly1, $acc5 # .Lpoly[1] + sbb \$0, $acc0 # .Lpoly[2] + mov $acc1, $t1 + sbb $poly3, $acc1 # .Lpoly[3] + + bt \$0,$acc2 + cmovnc $t2, $acc4 + cmovnc $t3, $acc5 + mov $acc4, 8*0($r_ptr) + cmovnc $t0, $acc0 + mov $acc5, 8*1($r_ptr) + cmovnc $t1, $acc1 + mov $acc0, 8*2($r_ptr) + mov $acc1, 8*3($r_ptr) + + ret +.size __ecp_nistz256_mul_montx,.-__ecp_nistz256_mul_montx + +.type __ecp_nistz256_sqr_montx,\@abi-omnipotent +.align 32 +__ecp_nistz256_sqr_montx: + mulx $acc6, $acc1, $acc2 # a[0]*a[1] + mulx $acc7, $t0, $acc3 # a[0]*a[2] + xor %eax, %eax + adc $t0, $acc2 + mulx $acc0, $t1, $acc4 # a[0]*a[3] + mov $acc6, %rdx + adc $t1, $acc3 + adc \$0, $acc4 + xor $acc5, $acc5 # $acc5=0,cf=0,of=0 + + ################################# + mulx $acc7, $t0, $t1 # a[1]*a[2] + adcx $t0, $acc3 + adox $t1, $acc4 + + mulx $acc0, $t0, $t1 # a[1]*a[3] + mov $acc7, %rdx + adcx $t0, $acc4 + adox $t1, $acc5 + adc \$0, $acc5 + + ################################# + mulx $acc0, $t0, $acc6 # a[2]*a[3] + mov 8*0+128($a_ptr), %rdx + xor $acc7, $acc7 # $acc7=0,cf=0,of=0 + adcx $acc1, $acc1 # acc1:6<<1 + adox $t0, $acc5 + adcx $acc2, $acc2 + adox $acc7, $acc6 # of=0 + + mulx %rdx, $acc0, $t1 + mov 8*1+128($a_ptr), %rdx + adcx $acc3, $acc3 + adox $t1, $acc1 + adcx $acc4, $acc4 + mulx %rdx, $t0, $t4 + mov 8*2+128($a_ptr), %rdx + adcx $acc5, $acc5 + adox $t0, $acc2 + adcx $acc6, $acc6 + .byte 0x67 + mulx %rdx, $t0, $t1 + mov 8*3+128($a_ptr), %rdx + adox $t4, $acc3 + adcx $acc7, $acc7 + adox $t0, $acc4 + mov \$32, $a_ptr + adox $t1, $acc5 + .byte 0x67,0x67 + mulx %rdx, $t0, $t4 + mov $acc0, %rdx + adox $t0, $acc6 + shlx $a_ptr, $acc0, $t0 + adox $t4, $acc7 + shrx $a_ptr, $acc0, $t4 + mov .Lpoly+8*3(%rip), $t1 + + # reduction step 1 + xor $acc0, $acc0 + adcx $t0, $acc1 + adcx $t4, $acc2 + + mulx $t1, $t0, $t4 + mov $acc1, %rdx + adcx $t0, $acc3 + shlx $a_ptr, $acc1, $t0 + adox $t4, $acc0 + shrx $a_ptr, $acc1, $t4 + adc \$0, $acc0 + + # reduction step 2 + xor $acc1, $acc1 + adcx $t0, $acc2 + adcx $t4, $acc3 + + mulx $t1, $t0, $t4 + mov $acc2, %rdx + adcx $t0, $acc0 + shlx $a_ptr, $acc2, $t0 + adox $t4, $acc1 + shrx $a_ptr, $acc2, $t4 + adc \$0, $acc1 + + # reduction step 3 + xor $acc2, $acc2 + adcx $t0, $acc3 + adcx $t4, $acc0 + + mulx $t1, $t0, $t4 + mov $acc3, %rdx + adcx $t0, $acc1 + shlx $a_ptr, $acc3, $t0 + adox $t4, $acc2 + shrx $a_ptr, $acc3, $t4 + adc \$0, $acc2 + + # reduction step 4 + xor $acc3, $acc3 + adcx $t0, $acc0 + adcx $t4, $acc1 + + mulx $t1, $t0, $t4 + adcx $t0, $acc2 + adox $t4, $acc3 + adc \$0, $acc3 + + xor $t3, $t3 # cf=0 + adc $acc0, $acc4 # accumulate upper half + mov .Lpoly+8*1(%rip), $a_ptr + adc $acc1, $acc5 + mov $acc4, $acc0 + adc $acc2, $acc6 + adc $acc3, $acc7 + mov $acc5, $acc1 + adc \$0, $t3 + + xor %eax, %eax # cf=0 + sbb \$-1, $acc4 # .Lpoly[0] + mov $acc6, $acc2 + sbb $a_ptr, $acc5 # .Lpoly[1] + sbb \$0, $acc6 # .Lpoly[2] + mov $acc7, $acc3 + sbb $t1, $acc7 # .Lpoly[3] + + bt \$0,$t3 + cmovnc $acc0, $acc4 + cmovnc $acc1, $acc5 + mov $acc4, 8*0($r_ptr) + cmovnc $acc2, $acc6 + mov $acc5, 8*1($r_ptr) + cmovnc $acc3, $acc7 + mov $acc6, 8*2($r_ptr) + mov $acc7, 8*3($r_ptr) + + ret +.size __ecp_nistz256_sqr_montx,.-__ecp_nistz256_sqr_montx +___ +} +} +{ +my ($r_ptr,$in_ptr)=("%rdi","%rsi"); +my ($acc0,$acc1,$acc2,$acc3,$acc4)=map("%r$_",(8..12)); +my ($t0,$t1)=("%rcx","%rsi"); + +$code.=<<___; +################################################################################ +# void ecp_nistz256_from_mont( +# uint64_t res[4], +# uint64_t in[4]); +# This one performs Montgomery multiplication by 1, so we only need the reduction + +.globl ecp_nistz256_from_mont +.type ecp_nistz256_from_mont,\@function,2 +.align 32 +ecp_nistz256_from_mont: + push %r12 + push %r13 + + mov 8*0($in_ptr), %rax + mov 8*1($in_ptr), $acc1 + mov 8*2($in_ptr), $acc2 + mov 8*3($in_ptr), $acc3 + lea .Lpoly(%rip), $in_ptr + xor $acc4, $acc4 + mov %rax, $acc0 + + ######################################### + # First iteration + mulq 1*8($in_ptr) + xor $t0, $t0 + add $acc0, $acc1 + adc \$0, %rdx + add %rax, $acc1 + mov $acc0, %rax + adc %rdx, $acc2 + adc \$0, $t0 + + mulq 3*8($in_ptr) + xor $acc0, $acc0 + add $t0, $acc3 + adc \$0, %rdx + add %rax, $acc3 + mov $acc1, %rax + adc %rdx, $acc4 + adc \$0, $acc0 + + ######################################### + # Second iteration + mulq 1*8($in_ptr) + xor $t0, $t0 + add $acc1, $acc2 + adc \$0, %rdx + add %rax, $acc2 + mov $acc1, %rax + adc %rdx, $acc3 + adc \$0, $t0 + + mulq 3*8($in_ptr) + xor $acc1, $acc1 + add $t0, $acc4 + adc \$0, %rdx + add %rax, $acc4 + mov $acc2, %rax + adc %rdx, $acc0 + adc \$0, $acc1 + + ########################################## + # Third iteration + mulq 1*8($in_ptr) + xor $t0, $t0 + add $acc2, $acc3 + adc \$0, %rdx + add %rax, $acc3 + mov $acc2, %rax + adc %rdx, $acc4 + adc \$0, $t0 + + mulq 3*8($in_ptr) + xor $acc2, $acc2 + add $t0, $acc0 + adc \$0, %rdx + add %rax, $acc0 + mov $acc3, %rax + adc %rdx, $acc1 + adc \$0, $acc2 + + ########################################### + # Last iteration + mulq 1*8($in_ptr) + xor $t0, $t0 + add $acc3, $acc4 + adc \$0, %rdx + add %rax, $acc4 + mov $acc3, %rax + adc %rdx, $acc0 + adc \$0, $t0 + + mulq 3*8($in_ptr) + add $t0, $acc1 + adc \$0, %rdx + add %rax, $acc1 + adc %rdx, $acc2 + sbb $acc3, $acc3 + + mov 0*8($in_ptr), %rax + mov 1*8($in_ptr), %rdx + mov 2*8($in_ptr), $t0 + mov 3*8($in_ptr), $t1 + + and $acc3, %rax + and $acc3, %rdx + and $acc3, $t0 + and $acc3, $t1 + + sub %rax, $acc4 + sbb %rdx, $acc0 + mov $acc4, 8*0($r_ptr) + sbb $t0, $acc1 + mov $acc0, 8*1($r_ptr) + sbb $t1, $acc2 + mov $acc1, 8*2($r_ptr) + mov $acc2, 8*3($r_ptr) + + pop %r13 + pop %r12 + ret +.size ecp_nistz256_from_mont,.-ecp_nistz256_from_mont +___ +} +{ +my ($val,$in_t,$index)=$win64?("%rcx","%rdx","%r8d"):("%rdi","%rsi","%edx"); +my ($ONE,$INDEX,$Ra,$Rb,$Rc,$Rd,$Re,$Rf)=map("%xmm$_",(0..7)); +my ($M0,$T0a,$T0b,$T0c,$T0d,$T0e,$T0f,$TMP0)=map("%xmm$_",(8..15)); +my ($M1,$T2a,$T2b,$TMP2,$M2,$T2a,$T2b,$TMP2)=map("%xmm$_",(8..15)); + +$code.=<<___; +################################################################################ +# void ecp_nistz256_select_w5(uint64_t *val, uint64_t *in_t, int index); +.globl ecp_nistz256_select_w5 +.type ecp_nistz256_select_w5,\@abi-omnipotent +.align 32 +ecp_nistz256_select_w5: +___ +$code.=<<___ if ($avx>1); + mov OPENSSL_ia32cap_P+8(%rip), %eax + test \$`1<<5`, %eax + jnz .Lavx2_select_w5 +___ +$code.=<<___ if ($win64); + lea -0x88(%rsp), %rax +.LSEH_begin_ecp_nistz256_select_w5: + .byte 0x48,0x8d,0x60,0xe0 #lea -0x20(%rax), %rsp + .byte 0x0f,0x29,0x70,0xe0 #movaps %xmm6, -0x20(%rax) + .byte 0x0f,0x29,0x78,0xf0 #movaps %xmm7, -0x10(%rax) + .byte 0x44,0x0f,0x29,0x00 #movaps %xmm8, 0(%rax) + .byte 0x44,0x0f,0x29,0x48,0x10 #movaps %xmm9, 0x10(%rax) + .byte 0x44,0x0f,0x29,0x50,0x20 #movaps %xmm10, 0x20(%rax) + .byte 0x44,0x0f,0x29,0x58,0x30 #movaps %xmm11, 0x30(%rax) + .byte 0x44,0x0f,0x29,0x60,0x40 #movaps %xmm12, 0x40(%rax) + .byte 0x44,0x0f,0x29,0x68,0x50 #movaps %xmm13, 0x50(%rax) + .byte 0x44,0x0f,0x29,0x70,0x60 #movaps %xmm14, 0x60(%rax) + .byte 0x44,0x0f,0x29,0x78,0x70 #movaps %xmm15, 0x70(%rax) +___ +$code.=<<___; + movdqa .LOne(%rip), $ONE + movd $index, $INDEX + + pxor $Ra, $Ra + pxor $Rb, $Rb + pxor $Rc, $Rc + pxor $Rd, $Rd + pxor $Re, $Re + pxor $Rf, $Rf + + movdqa $ONE, $M0 + pshufd \$0, $INDEX, $INDEX + + mov \$16, %rax +.Lselect_loop_sse_w5: + + movdqa $M0, $TMP0 + paddd $ONE, $M0 + pcmpeqd $INDEX, $TMP0 + + movdqa 16*0($in_t), $T0a + movdqa 16*1($in_t), $T0b + movdqa 16*2($in_t), $T0c + movdqa 16*3($in_t), $T0d + movdqa 16*4($in_t), $T0e + movdqa 16*5($in_t), $T0f + lea 16*6($in_t), $in_t + + pand $TMP0, $T0a + pand $TMP0, $T0b + por $T0a, $Ra + pand $TMP0, $T0c + por $T0b, $Rb + pand $TMP0, $T0d + por $T0c, $Rc + pand $TMP0, $T0e + por $T0d, $Rd + pand $TMP0, $T0f + por $T0e, $Re + por $T0f, $Rf + + dec %rax + jnz .Lselect_loop_sse_w5 + + movdqu $Ra, 16*0($val) + movdqu $Rb, 16*1($val) + movdqu $Rc, 16*2($val) + movdqu $Rd, 16*3($val) + movdqu $Re, 16*4($val) + movdqu $Rf, 16*5($val) +___ +$code.=<<___ if ($win64); + movaps (%rsp), %xmm6 + movaps 0x10(%rsp), %xmm7 + movaps 0x20(%rsp), %xmm8 + movaps 0x30(%rsp), %xmm9 + movaps 0x40(%rsp), %xmm10 + movaps 0x50(%rsp), %xmm11 + movaps 0x60(%rsp), %xmm12 + movaps 0x70(%rsp), %xmm13 + movaps 0x80(%rsp), %xmm14 + movaps 0x90(%rsp), %xmm15 + lea 0xa8(%rsp), %rsp +.LSEH_end_ecp_nistz256_select_w5: +___ +$code.=<<___; + ret +.size ecp_nistz256_select_w5,.-ecp_nistz256_select_w5 + +################################################################################ +# void ecp_nistz256_select_w7(uint64_t *val, uint64_t *in_t, int index); +.globl ecp_nistz256_select_w7 +.type ecp_nistz256_select_w7,\@abi-omnipotent +.align 32 +ecp_nistz256_select_w7: +___ +$code.=<<___ if ($avx>1); + mov OPENSSL_ia32cap_P+8(%rip), %eax + test \$`1<<5`, %eax + jnz .Lavx2_select_w7 +___ +$code.=<<___ if ($win64); + lea -0x88(%rsp), %rax +.LSEH_begin_ecp_nistz256_select_w7: + .byte 0x48,0x8d,0x60,0xe0 #lea -0x20(%rax), %rsp + .byte 0x0f,0x29,0x70,0xe0 #movaps %xmm6, -0x20(%rax) + .byte 0x0f,0x29,0x78,0xf0 #movaps %xmm7, -0x10(%rax) + .byte 0x44,0x0f,0x29,0x00 #movaps %xmm8, 0(%rax) + .byte 0x44,0x0f,0x29,0x48,0x10 #movaps %xmm9, 0x10(%rax) + .byte 0x44,0x0f,0x29,0x50,0x20 #movaps %xmm10, 0x20(%rax) + .byte 0x44,0x0f,0x29,0x58,0x30 #movaps %xmm11, 0x30(%rax) + .byte 0x44,0x0f,0x29,0x60,0x40 #movaps %xmm12, 0x40(%rax) + .byte 0x44,0x0f,0x29,0x68,0x50 #movaps %xmm13, 0x50(%rax) + .byte 0x44,0x0f,0x29,0x70,0x60 #movaps %xmm14, 0x60(%rax) + .byte 0x44,0x0f,0x29,0x78,0x70 #movaps %xmm15, 0x70(%rax) +___ +$code.=<<___; + movdqa .LOne(%rip), $M0 + movd $index, $INDEX + + pxor $Ra, $Ra + pxor $Rb, $Rb + pxor $Rc, $Rc + pxor $Rd, $Rd + + movdqa $M0, $ONE + pshufd \$0, $INDEX, $INDEX + mov \$64, %rax + +.Lselect_loop_sse_w7: + movdqa $M0, $TMP0 + paddd $ONE, $M0 + movdqa 16*0($in_t), $T0a + movdqa 16*1($in_t), $T0b + pcmpeqd $INDEX, $TMP0 + movdqa 16*2($in_t), $T0c + movdqa 16*3($in_t), $T0d + lea 16*4($in_t), $in_t + + pand $TMP0, $T0a + pand $TMP0, $T0b + por $T0a, $Ra + pand $TMP0, $T0c + por $T0b, $Rb + pand $TMP0, $T0d + por $T0c, $Rc + prefetcht0 255($in_t) + por $T0d, $Rd + + dec %rax + jnz .Lselect_loop_sse_w7 + + movdqu $Ra, 16*0($val) + movdqu $Rb, 16*1($val) + movdqu $Rc, 16*2($val) + movdqu $Rd, 16*3($val) +___ +$code.=<<___ if ($win64); + movaps (%rsp), %xmm6 + movaps 0x10(%rsp), %xmm7 + movaps 0x20(%rsp), %xmm8 + movaps 0x30(%rsp), %xmm9 + movaps 0x40(%rsp), %xmm10 + movaps 0x50(%rsp), %xmm11 + movaps 0x60(%rsp), %xmm12 + movaps 0x70(%rsp), %xmm13 + movaps 0x80(%rsp), %xmm14 + movaps 0x90(%rsp), %xmm15 + lea 0xa8(%rsp), %rsp +.LSEH_end_ecp_nistz256_select_w7: +___ +$code.=<<___; + ret +.size ecp_nistz256_select_w7,.-ecp_nistz256_select_w7 +___ +} +if ($avx>1) { +my ($val,$in_t,$index)=$win64?("%rcx","%rdx","%r8d"):("%rdi","%rsi","%edx"); +my ($TWO,$INDEX,$Ra,$Rb,$Rc)=map("%ymm$_",(0..4)); +my ($M0,$T0a,$T0b,$T0c,$TMP0)=map("%ymm$_",(5..9)); +my ($M1,$T1a,$T1b,$T1c,$TMP1)=map("%ymm$_",(10..14)); + +$code.=<<___; +################################################################################ +# void ecp_nistz256_avx2_select_w5(uint64_t *val, uint64_t *in_t, int index); +.type ecp_nistz256_avx2_select_w5,\@abi-omnipotent +.align 32 +ecp_nistz256_avx2_select_w5: +.Lavx2_select_w5: + vzeroupper +___ +$code.=<<___ if ($win64); + lea -0x88(%rsp), %rax +.LSEH_begin_ecp_nistz256_avx2_select_w5: + .byte 0x48,0x8d,0x60,0xe0 #lea -0x20(%rax), %rsp + .byte 0xc5,0xf8,0x29,0x70,0xe0 #vmovaps %xmm6, -0x20(%rax) + .byte 0xc5,0xf8,0x29,0x78,0xf0 #vmovaps %xmm7, -0x10(%rax) + .byte 0xc5,0x78,0x29,0x40,0x00 #vmovaps %xmm8, 8(%rax) + .byte 0xc5,0x78,0x29,0x48,0x10 #vmovaps %xmm9, 0x10(%rax) + .byte 0xc5,0x78,0x29,0x50,0x20 #vmovaps %xmm10, 0x20(%rax) + .byte 0xc5,0x78,0x29,0x58,0x30 #vmovaps %xmm11, 0x30(%rax) + .byte 0xc5,0x78,0x29,0x60,0x40 #vmovaps %xmm12, 0x40(%rax) + .byte 0xc5,0x78,0x29,0x68,0x50 #vmovaps %xmm13, 0x50(%rax) + .byte 0xc5,0x78,0x29,0x70,0x60 #vmovaps %xmm14, 0x60(%rax) + .byte 0xc5,0x78,0x29,0x78,0x70 #vmovaps %xmm15, 0x70(%rax) +___ +$code.=<<___; + vmovdqa .LTwo(%rip), $TWO + + vpxor $Ra, $Ra, $Ra + vpxor $Rb, $Rb, $Rb + vpxor $Rc, $Rc, $Rc + + vmovdqa .LOne(%rip), $M0 + vmovdqa .LTwo(%rip), $M1 + + vmovd $index, %xmm1 + vpermd $INDEX, $Ra, $INDEX + + mov \$8, %rax +.Lselect_loop_avx2_w5: + + vmovdqa 32*0($in_t), $T0a + vmovdqa 32*1($in_t), $T0b + vmovdqa 32*2($in_t), $T0c + + vmovdqa 32*3($in_t), $T1a + vmovdqa 32*4($in_t), $T1b + vmovdqa 32*5($in_t), $T1c + + vpcmpeqd $INDEX, $M0, $TMP0 + vpcmpeqd $INDEX, $M1, $TMP1 + + vpaddd $TWO, $M0, $M0 + vpaddd $TWO, $M1, $M1 + lea 32*6($in_t), $in_t + + vpand $TMP0, $T0a, $T0a + vpand $TMP0, $T0b, $T0b + vpand $TMP0, $T0c, $T0c + vpand $TMP1, $T1a, $T1a + vpand $TMP1, $T1b, $T1b + vpand $TMP1, $T1c, $T1c + + vpxor $T0a, $Ra, $Ra + vpxor $T0b, $Rb, $Rb + vpxor $T0c, $Rc, $Rc + vpxor $T1a, $Ra, $Ra + vpxor $T1b, $Rb, $Rb + vpxor $T1c, $Rc, $Rc + + dec %rax + jnz .Lselect_loop_avx2_w5 + + vmovdqu $Ra, 32*0($val) + vmovdqu $Rb, 32*1($val) + vmovdqu $Rc, 32*2($val) + vzeroupper +___ +$code.=<<___ if ($win64); + movaps (%rsp), %xmm6 + movaps 0x10(%rsp), %xmm7 + movaps 0x20(%rsp), %xmm8 + movaps 0x30(%rsp), %xmm9 + movaps 0x40(%rsp), %xmm10 + movaps 0x50(%rsp), %xmm11 + movaps 0x60(%rsp), %xmm12 + movaps 0x70(%rsp), %xmm13 + movaps 0x80(%rsp), %xmm14 + movaps 0x90(%rsp), %xmm15 + lea 0xa8(%rsp), %rsp +.LSEH_end_ecp_nistz256_avx2_select_w5: +___ +$code.=<<___; + ret +.size ecp_nistz256_avx2_select_w5,.-ecp_nistz256_avx2_select_w5 +___ +} +if ($avx>1) { +my ($val,$in_t,$index)=$win64?("%rcx","%rdx","%r8d"):("%rdi","%rsi","%edx"); +my ($THREE,$INDEX,$Ra,$Rb)=map("%ymm$_",(0..3)); +my ($M0,$T0a,$T0b,$TMP0)=map("%ymm$_",(4..7)); +my ($M1,$T1a,$T1b,$TMP1)=map("%ymm$_",(8..11)); +my ($M2,$T2a,$T2b,$TMP2)=map("%ymm$_",(12..15)); + +$code.=<<___; + +################################################################################ +# void ecp_nistz256_avx2_select_w7(uint64_t *val, uint64_t *in_t, int index); +.globl ecp_nistz256_avx2_select_w7 +.type ecp_nistz256_avx2_select_w7,\@abi-omnipotent +.align 32 +ecp_nistz256_avx2_select_w7: +.Lavx2_select_w7: + vzeroupper +___ +$code.=<<___ if ($win64); + lea -0x88(%rsp), %rax +.LSEH_begin_ecp_nistz256_avx2_select_w7: + .byte 0x48,0x8d,0x60,0xe0 #lea -0x20(%rax), %rsp + .byte 0xc5,0xf8,0x29,0x70,0xe0 #vmovaps %xmm6, -0x20(%rax) + .byte 0xc5,0xf8,0x29,0x78,0xf0 #vmovaps %xmm7, -0x10(%rax) + .byte 0xc5,0x78,0x29,0x40,0x00 #vmovaps %xmm8, 8(%rax) + .byte 0xc5,0x78,0x29,0x48,0x10 #vmovaps %xmm9, 0x10(%rax) + .byte 0xc5,0x78,0x29,0x50,0x20 #vmovaps %xmm10, 0x20(%rax) + .byte 0xc5,0x78,0x29,0x58,0x30 #vmovaps %xmm11, 0x30(%rax) + .byte 0xc5,0x78,0x29,0x60,0x40 #vmovaps %xmm12, 0x40(%rax) + .byte 0xc5,0x78,0x29,0x68,0x50 #vmovaps %xmm13, 0x50(%rax) + .byte 0xc5,0x78,0x29,0x70,0x60 #vmovaps %xmm14, 0x60(%rax) + .byte 0xc5,0x78,0x29,0x78,0x70 #vmovaps %xmm15, 0x70(%rax) +___ +$code.=<<___; + vmovdqa .LThree(%rip), $THREE + + vpxor $Ra, $Ra, $Ra + vpxor $Rb, $Rb, $Rb + + vmovdqa .LOne(%rip), $M0 + vmovdqa .LTwo(%rip), $M1 + vmovdqa .LThree(%rip), $M2 + + vmovd $index, %xmm1 + vpermd $INDEX, $Ra, $INDEX + # Skip index = 0, because it is implicitly the point at infinity + + mov \$21, %rax +.Lselect_loop_avx2_w7: + + vmovdqa 32*0($in_t), $T0a + vmovdqa 32*1($in_t), $T0b + + vmovdqa 32*2($in_t), $T1a + vmovdqa 32*3($in_t), $T1b + + vmovdqa 32*4($in_t), $T2a + vmovdqa 32*5($in_t), $T2b + + vpcmpeqd $INDEX, $M0, $TMP0 + vpcmpeqd $INDEX, $M1, $TMP1 + vpcmpeqd $INDEX, $M2, $TMP2 + + vpaddd $THREE, $M0, $M0 + vpaddd $THREE, $M1, $M1 + vpaddd $THREE, $M2, $M2 + lea 32*6($in_t), $in_t + + vpand $TMP0, $T0a, $T0a + vpand $TMP0, $T0b, $T0b + vpand $TMP1, $T1a, $T1a + vpand $TMP1, $T1b, $T1b + vpand $TMP2, $T2a, $T2a + vpand $TMP2, $T2b, $T2b + + vpxor $T0a, $Ra, $Ra + vpxor $T0b, $Rb, $Rb + vpxor $T1a, $Ra, $Ra + vpxor $T1b, $Rb, $Rb + vpxor $T2a, $Ra, $Ra + vpxor $T2b, $Rb, $Rb + + dec %rax + jnz .Lselect_loop_avx2_w7 + + + vmovdqa 32*0($in_t), $T0a + vmovdqa 32*1($in_t), $T0b + + vpcmpeqd $INDEX, $M0, $TMP0 + + vpand $TMP0, $T0a, $T0a + vpand $TMP0, $T0b, $T0b + + vpxor $T0a, $Ra, $Ra + vpxor $T0b, $Rb, $Rb + + vmovdqu $Ra, 32*0($val) + vmovdqu $Rb, 32*1($val) + vzeroupper +___ +$code.=<<___ if ($win64); + movaps (%rsp), %xmm6 + movaps 0x10(%rsp), %xmm7 + movaps 0x20(%rsp), %xmm8 + movaps 0x30(%rsp), %xmm9 + movaps 0x40(%rsp), %xmm10 + movaps 0x50(%rsp), %xmm11 + movaps 0x60(%rsp), %xmm12 + movaps 0x70(%rsp), %xmm13 + movaps 0x80(%rsp), %xmm14 + movaps 0x90(%rsp), %xmm15 + lea 0xa8(%rsp), %rsp +.LSEH_end_ecp_nistz256_avx2_select_w7: +___ +$code.=<<___; + ret +.size ecp_nistz256_avx2_select_w7,.-ecp_nistz256_avx2_select_w7 +___ +} else { +$code.=<<___; +.globl ecp_nistz256_avx2_select_w7 +.type ecp_nistz256_avx2_select_w7,\@function,3 +.align 32 +ecp_nistz256_avx2_select_w7: + .byte 0x0f,0x0b # ud2 + ret +.size ecp_nistz256_avx2_select_w7,.-ecp_nistz256_avx2_select_w7 +___ +} +{{{ +######################################################################## +# This block implements higher level point_double, point_add and +# point_add_affine. The key to performance in this case is to allow +# out-of-order execution logic to overlap computations from next step +# with tail processing from current step. By using tailored calling +# sequence we minimize inter-step overhead to give processor better +# shot at overlapping operations... +# +# You will notice that input data is copied to stack. Trouble is that +# there are no registers to spare for holding original pointers and +# reloading them, pointers, would create undesired dependencies on +# effective addresses calculation paths. In other words it's too done +# to favour out-of-order execution logic. +# + +my ($r_ptr,$a_ptr,$b_org,$b_ptr)=("%rdi","%rsi","%rdx","%rbx"); +my ($acc0,$acc1,$acc2,$acc3,$acc4,$acc5,$acc6,$acc7)=map("%r$_",(8..15)); +my ($t0,$t1,$t2,$t3,$t4)=("%rax","%rbp","%rcx",$acc4,$acc4); +my ($poly1,$poly3)=($acc6,$acc7); + +sub load_for_mul () { +my ($a,$b,$src0) = @_; +my $bias = $src0 eq "%rax" ? 0 : -128; + +" mov $b, $src0 + lea $b, $b_ptr + mov 8*0+$a, $acc1 + mov 8*1+$a, $acc2 + lea $bias+$a, $a_ptr + mov 8*2+$a, $acc3 + mov 8*3+$a, $acc4" +} + +sub load_for_sqr () { +my ($a,$src0) = @_; +my $bias = $src0 eq "%rax" ? 0 : -128; + +" mov 8*0+$a, $src0 + mov 8*1+$a, $acc6 + lea $bias+$a, $a_ptr + mov 8*2+$a, $acc7 + mov 8*3+$a, $acc0" +} + + { +######################################################################## +# operate in 4-5-0-1 "name space" that matches multiplication output +# +my ($a0,$a1,$a2,$a3,$t3,$t4)=($acc4,$acc5,$acc0,$acc1,$acc2,$acc3); + +$code.=<<___; +.type __ecp_nistz256_add_toq,\@abi-omnipotent +.align 32 +__ecp_nistz256_add_toq: + add 8*0($b_ptr), $a0 + adc 8*1($b_ptr), $a1 + mov $a0, $t0 + adc 8*2($b_ptr), $a2 + adc 8*3($b_ptr), $a3 + mov $a1, $t1 + sbb $t4, $t4 + + sub \$-1, $a0 + mov $a2, $t2 + sbb $poly1, $a1 + sbb \$0, $a2 + mov $a3, $t3 + sbb $poly3, $a3 + test $t4, $t4 + + cmovz $t0, $a0 + cmovz $t1, $a1 + mov $a0, 8*0($r_ptr) + cmovz $t2, $a2 + mov $a1, 8*1($r_ptr) + cmovz $t3, $a3 + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) + + ret +.size __ecp_nistz256_add_toq,.-__ecp_nistz256_add_toq + +.type __ecp_nistz256_sub_fromq,\@abi-omnipotent +.align 32 +__ecp_nistz256_sub_fromq: + sub 8*0($b_ptr), $a0 + sbb 8*1($b_ptr), $a1 + mov $a0, $t0 + sbb 8*2($b_ptr), $a2 + sbb 8*3($b_ptr), $a3 + mov $a1, $t1 + sbb $t4, $t4 + + add \$-1, $a0 + mov $a2, $t2 + adc $poly1, $a1 + adc \$0, $a2 + mov $a3, $t3 + adc $poly3, $a3 + test $t4, $t4 + + cmovz $t0, $a0 + cmovz $t1, $a1 + mov $a0, 8*0($r_ptr) + cmovz $t2, $a2 + mov $a1, 8*1($r_ptr) + cmovz $t3, $a3 + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) + + ret +.size __ecp_nistz256_sub_fromq,.-__ecp_nistz256_sub_fromq + +.type __ecp_nistz256_subq,\@abi-omnipotent +.align 32 +__ecp_nistz256_subq: + sub $a0, $t0 + sbb $a1, $t1 + mov $t0, $a0 + sbb $a2, $t2 + sbb $a3, $t3 + mov $t1, $a1 + sbb $t4, $t4 + + add \$-1, $t0 + mov $t2, $a2 + adc $poly1, $t1 + adc \$0, $t2 + mov $t3, $a3 + adc $poly3, $t3 + test $t4, $t4 + + cmovnz $t0, $a0 + cmovnz $t1, $a1 + cmovnz $t2, $a2 + cmovnz $t3, $a3 + + ret +.size __ecp_nistz256_subq,.-__ecp_nistz256_subq + +.type __ecp_nistz256_mul_by_2q,\@abi-omnipotent +.align 32 +__ecp_nistz256_mul_by_2q: + add $a0, $a0 # a0:a3+a0:a3 + adc $a1, $a1 + mov $a0, $t0 + adc $a2, $a2 + adc $a3, $a3 + mov $a1, $t1 + sbb $t4, $t4 + + sub \$-1, $a0 + mov $a2, $t2 + sbb $poly1, $a1 + sbb \$0, $a2 + mov $a3, $t3 + sbb $poly3, $a3 + test $t4, $t4 + + cmovz $t0, $a0 + cmovz $t1, $a1 + mov $a0, 8*0($r_ptr) + cmovz $t2, $a2 + mov $a1, 8*1($r_ptr) + cmovz $t3, $a3 + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) + + ret +.size __ecp_nistz256_mul_by_2q,.-__ecp_nistz256_mul_by_2q +___ + } +sub gen_double () { + my $x = shift; + my ($src0,$sfx,$bias); + my ($S,$M,$Zsqr,$in_x,$tmp0)=map(32*$_,(0..4)); + + if ($x ne "x") { + $src0 = "%rax"; + $sfx = ""; + $bias = 0; + +$code.=<<___; +.globl ecp_nistz256_point_double +.type ecp_nistz256_point_double,\@function,2 +.align 32 +ecp_nistz256_point_double: +___ +$code.=<<___ if ($addx); + mov \$0x80100, %ecx + and OPENSSL_ia32cap_P+8(%rip), %ecx + cmp \$0x80100, %ecx + je .Lpoint_doublex +___ + } else { + $src0 = "%rdx"; + $sfx = "x"; + $bias = 128; + +$code.=<<___; +.type ecp_nistz256_point_doublex,\@function,2 +.align 32 +ecp_nistz256_point_doublex: +.Lpoint_doublex: +___ + } +$code.=<<___; + push %rbp + push %rbx + push %r12 + push %r13 + push %r14 + push %r15 + sub \$32*5+8, %rsp + + movdqu 0x00($a_ptr), %xmm0 # copy *(P256_POINT *)$a_ptr.x + mov $a_ptr, $b_ptr # backup copy + movdqu 0x10($a_ptr), %xmm1 + mov 0x20+8*0($a_ptr), $acc4 # load in_y in "5-4-0-1" order + mov 0x20+8*1($a_ptr), $acc5 + mov 0x20+8*2($a_ptr), $acc0 + mov 0x20+8*3($a_ptr), $acc1 + mov .Lpoly+8*1(%rip), $poly1 + mov .Lpoly+8*3(%rip), $poly3 + movdqa %xmm0, $in_x(%rsp) + movdqa %xmm1, $in_x+0x10(%rsp) + lea 0x20($r_ptr), $acc2 + lea 0x40($r_ptr), $acc3 + movq $r_ptr, %xmm0 + movq $acc2, %xmm1 + movq $acc3, %xmm2 + + lea $S(%rsp), $r_ptr + call __ecp_nistz256_mul_by_2$x # p256_mul_by_2(S, in_y); + + mov 0x40+8*0($a_ptr), $src0 + mov 0x40+8*1($a_ptr), $acc6 + mov 0x40+8*2($a_ptr), $acc7 + mov 0x40+8*3($a_ptr), $acc0 + lea 0x40-$bias($a_ptr), $a_ptr + lea $Zsqr(%rsp), $r_ptr + call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Zsqr, in_z); + + `&load_for_sqr("$S(%rsp)", "$src0")` + lea $S(%rsp), $r_ptr + call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(S, S); + + mov 0x20($b_ptr), $src0 # $b_ptr is still valid + mov 0x40+8*0($b_ptr), $acc1 + mov 0x40+8*1($b_ptr), $acc2 + mov 0x40+8*2($b_ptr), $acc3 + mov 0x40+8*3($b_ptr), $acc4 + lea 0x40-$bias($b_ptr), $a_ptr + lea 0x20($b_ptr), $b_ptr + movq %xmm2, $r_ptr + call __ecp_nistz256_mul_mont$x # p256_mul_mont(res_z, in_z, in_y); + call __ecp_nistz256_mul_by_2$x # p256_mul_by_2(res_z, res_z); + + mov $in_x+8*0(%rsp), $acc4 # "5-4-0-1" order + mov $in_x+8*1(%rsp), $acc5 + lea $Zsqr(%rsp), $b_ptr + mov $in_x+8*2(%rsp), $acc0 + mov $in_x+8*3(%rsp), $acc1 + lea $M(%rsp), $r_ptr + call __ecp_nistz256_add_to$x # p256_add(M, in_x, Zsqr); + + mov $in_x+8*0(%rsp), $acc4 # "5-4-0-1" order + mov $in_x+8*1(%rsp), $acc5 + lea $Zsqr(%rsp), $b_ptr + mov $in_x+8*2(%rsp), $acc0 + mov $in_x+8*3(%rsp), $acc1 + lea $Zsqr(%rsp), $r_ptr + call __ecp_nistz256_sub_from$x # p256_sub(Zsqr, in_x, Zsqr); + + `&load_for_sqr("$S(%rsp)", "$src0")` + movq %xmm1, $r_ptr + call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(res_y, S); +___ +{ +######## ecp_nistz256_div_by_2(res_y, res_y); ########################## +# operate in 4-5-6-7 "name space" that matches squaring output +# +my ($poly1,$poly3)=($a_ptr,$t1); +my ($a0,$a1,$a2,$a3,$t3,$t4,$t1)=($acc4,$acc5,$acc6,$acc7,$acc0,$acc1,$acc2); + +$code.=<<___; + xor $t4, $t4 + mov $a0, $t0 + add \$-1, $a0 + mov $a1, $t1 + adc $poly1, $a1 + mov $a2, $t2 + adc \$0, $a2 + mov $a3, $t3 + adc $poly3, $a3 + adc \$0, $t4 + xor $a_ptr, $a_ptr # borrow $a_ptr + test \$1, $t0 + + cmovz $t0, $a0 + cmovz $t1, $a1 + cmovz $t2, $a2 + cmovz $t3, $a3 + cmovz $a_ptr, $t4 + + mov $a1, $t0 # a0:a3>>1 + shr \$1, $a0 + shl \$63, $t0 + mov $a2, $t1 + shr \$1, $a1 + or $t0, $a0 + shl \$63, $t1 + mov $a3, $t2 + shr \$1, $a2 + or $t1, $a1 + shl \$63, $t2 + mov $a0, 8*0($r_ptr) + shr \$1, $a3 + mov $a1, 8*1($r_ptr) + shl \$63, $t4 + or $t2, $a2 + or $t4, $a3 + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) +___ +} +$code.=<<___; + `&load_for_mul("$M(%rsp)", "$Zsqr(%rsp)", "$src0")` + lea $M(%rsp), $r_ptr + call __ecp_nistz256_mul_mont$x # p256_mul_mont(M, M, Zsqr); + + lea $tmp0(%rsp), $r_ptr + call __ecp_nistz256_mul_by_2$x + + lea $M(%rsp), $b_ptr + lea $M(%rsp), $r_ptr + call __ecp_nistz256_add_to$x # p256_mul_by_3(M, M); + + `&load_for_mul("$S(%rsp)", "$in_x(%rsp)", "$src0")` + lea $S(%rsp), $r_ptr + call __ecp_nistz256_mul_mont$x # p256_mul_mont(S, S, in_x); + + lea $tmp0(%rsp), $r_ptr + call __ecp_nistz256_mul_by_2$x # p256_mul_by_2(tmp0, S); + + `&load_for_sqr("$M(%rsp)", "$src0")` + movq %xmm0, $r_ptr + call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(res_x, M); + + lea $tmp0(%rsp), $b_ptr + mov $acc6, $acc0 # harmonize sqr output and sub input + mov $acc7, $acc1 + mov $a_ptr, $poly1 + mov $t1, $poly3 + call __ecp_nistz256_sub_from$x # p256_sub(res_x, res_x, tmp0); + + mov $S+8*0(%rsp), $t0 + mov $S+8*1(%rsp), $t1 + mov $S+8*2(%rsp), $t2 + mov $S+8*3(%rsp), $acc2 # "4-5-0-1" order + lea $S(%rsp), $r_ptr + call __ecp_nistz256_sub$x # p256_sub(S, S, res_x); + + mov $M(%rsp), $src0 + lea $M(%rsp), $b_ptr + mov $acc4, $acc6 # harmonize sub output and mul input + xor %ecx, %ecx + mov $acc4, $S+8*0(%rsp) # have to save:-( + mov $acc5, $acc2 + mov $acc5, $S+8*1(%rsp) + cmovz $acc0, $acc3 + mov $acc0, $S+8*2(%rsp) + lea $S-$bias(%rsp), $a_ptr + cmovz $acc1, $acc4 + mov $acc1, $S+8*3(%rsp) + mov $acc6, $acc1 + lea $S(%rsp), $r_ptr + call __ecp_nistz256_mul_mont$x # p256_mul_mont(S, S, M); + + movq %xmm1, $b_ptr + movq %xmm1, $r_ptr + call __ecp_nistz256_sub_from$x # p256_sub(res_y, S, res_y); + + add \$32*5+8, %rsp + pop %r15 + pop %r14 + pop %r13 + pop %r12 + pop %rbx + pop %rbp + ret +.size ecp_nistz256_point_double$sfx,.-ecp_nistz256_point_double$sfx +___ +} +&gen_double("q"); + +sub gen_add () { + my $x = shift; + my ($src0,$sfx,$bias); + my ($H,$Hsqr,$R,$Rsqr,$Hcub, + $U1,$U2,$S1,$S2, + $res_x,$res_y,$res_z, + $in1_x,$in1_y,$in1_z, + $in2_x,$in2_y,$in2_z)=map(32*$_,(0..17)); + my ($Z1sqr, $Z2sqr) = ($Hsqr, $Rsqr); + + if ($x ne "x") { + $src0 = "%rax"; + $sfx = ""; + $bias = 0; + +$code.=<<___; +.globl ecp_nistz256_point_add +.type ecp_nistz256_point_add,\@function,3 +.align 32 +ecp_nistz256_point_add: +___ +$code.=<<___ if ($addx); + mov \$0x80100, %ecx + and OPENSSL_ia32cap_P+8(%rip), %ecx + cmp \$0x80100, %ecx + je .Lpoint_addx +___ + } else { + $src0 = "%rdx"; + $sfx = "x"; + $bias = 128; + +$code.=<<___; +.type ecp_nistz256_point_addx,\@function,3 +.align 32 +ecp_nistz256_point_addx: +.Lpoint_addx: +___ + } +$code.=<<___; + push %rbp + push %rbx + push %r12 + push %r13 + push %r14 + push %r15 + sub \$32*18+8, %rsp + + movdqu 0x00($a_ptr), %xmm0 # copy *(P256_POINT *)$a_ptr + movdqu 0x10($a_ptr), %xmm1 + movdqu 0x20($a_ptr), %xmm2 + movdqu 0x30($a_ptr), %xmm3 + movdqu 0x40($a_ptr), %xmm4 + movdqu 0x50($a_ptr), %xmm5 + mov $a_ptr, $b_ptr # reassign + mov $b_org, $a_ptr # reassign + movdqa %xmm0, $in1_x(%rsp) + movdqa %xmm1, $in1_x+0x10(%rsp) + por %xmm0, %xmm1 + movdqa %xmm2, $in1_y(%rsp) + movdqa %xmm3, $in1_y+0x10(%rsp) + por %xmm2, %xmm3 + movdqa %xmm4, $in1_z(%rsp) + movdqa %xmm5, $in1_z+0x10(%rsp) + por %xmm1, %xmm3 + + movdqu 0x00($a_ptr), %xmm0 # copy *(P256_POINT *)$b_ptr + pshufd \$0xb1, %xmm3, %xmm5 + movdqu 0x10($a_ptr), %xmm1 + movdqu 0x20($a_ptr), %xmm2 + por %xmm3, %xmm5 + movdqu 0x30($a_ptr), %xmm3 + mov 0x40+8*0($a_ptr), $src0 # load original in2_z + mov 0x40+8*1($a_ptr), $acc6 + mov 0x40+8*2($a_ptr), $acc7 + mov 0x40+8*3($a_ptr), $acc0 + movdqa %xmm0, $in2_x(%rsp) + pshufd \$0x1e, %xmm5, %xmm4 + movdqa %xmm1, $in2_x+0x10(%rsp) + por %xmm0, %xmm1 + movq $r_ptr, %xmm0 # save $r_ptr + movdqa %xmm2, $in2_y(%rsp) + movdqa %xmm3, $in2_y+0x10(%rsp) + por %xmm2, %xmm3 + por %xmm4, %xmm5 + pxor %xmm4, %xmm4 + por %xmm1, %xmm3 + + lea 0x40-$bias($a_ptr), $a_ptr # $a_ptr is still valid + mov $src0, $in2_z+8*0(%rsp) # make in2_z copy + mov $acc6, $in2_z+8*1(%rsp) + mov $acc7, $in2_z+8*2(%rsp) + mov $acc0, $in2_z+8*3(%rsp) + lea $Z2sqr(%rsp), $r_ptr # Z2^2 + call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Z2sqr, in2_z); + + pcmpeqd %xmm4, %xmm5 + pshufd \$0xb1, %xmm3, %xmm4 + por %xmm3, %xmm4 + pshufd \$0, %xmm5, %xmm5 # in1infty + pshufd \$0x1e, %xmm4, %xmm3 + por %xmm3, %xmm4 + pxor %xmm3, %xmm3 + pcmpeqd %xmm3, %xmm4 + pshufd \$0, %xmm4, %xmm4 # in2infty + mov 0x40+8*0($b_ptr), $src0 # load original in1_z + mov 0x40+8*1($b_ptr), $acc6 + mov 0x40+8*2($b_ptr), $acc7 + mov 0x40+8*3($b_ptr), $acc0 + + lea 0x40-$bias($b_ptr), $a_ptr + lea $Z1sqr(%rsp), $r_ptr # Z1^2 + call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Z1sqr, in1_z); + + `&load_for_mul("$Z2sqr(%rsp)", "$in2_z(%rsp)", "$src0")` + lea $S1(%rsp), $r_ptr # S1 = Z2^3 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(S1, Z2sqr, in2_z); + + `&load_for_mul("$Z1sqr(%rsp)", "$in1_z(%rsp)", "$src0")` + lea $S2(%rsp), $r_ptr # S2 = Z1^3 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(S2, Z1sqr, in1_z); + + `&load_for_mul("$S1(%rsp)", "$in1_y(%rsp)", "$src0")` + lea $S1(%rsp), $r_ptr # S1 = Y1*Z2^3 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(S1, S1, in1_y); + + `&load_for_mul("$S2(%rsp)", "$in2_y(%rsp)", "$src0")` + lea $S2(%rsp), $r_ptr # S2 = Y2*Z1^3 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(S2, S2, in2_y); + + lea $S1(%rsp), $b_ptr + lea $R(%rsp), $r_ptr # R = S2 - S1 + call __ecp_nistz256_sub_from$x # p256_sub(R, S2, S1); + + or $acc5, $acc4 # see if result is zero + movdqa %xmm4, %xmm2 + or $acc0, $acc4 + or $acc1, $acc4 + por %xmm5, %xmm2 # in1infty || in2infty + movq $acc4, %xmm3 + + `&load_for_mul("$Z2sqr(%rsp)", "$in1_x(%rsp)", "$src0")` + lea $U1(%rsp), $r_ptr # U1 = X1*Z2^2 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(U1, in1_x, Z2sqr); + + `&load_for_mul("$Z1sqr(%rsp)", "$in2_x(%rsp)", "$src0")` + lea $U2(%rsp), $r_ptr # U2 = X2*Z1^2 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(U2, in2_x, Z1sqr); + + lea $U1(%rsp), $b_ptr + lea $H(%rsp), $r_ptr # H = U2 - U1 + call __ecp_nistz256_sub_from$x # p256_sub(H, U2, U1); + + or $acc5, $acc4 # see if result is zero + or $acc0, $acc4 + or $acc1, $acc4 + + .byte 0x3e # predict taken + jnz .Ladd_proceed$x # is_equal(U1,U2)? + movq %xmm2, $acc0 + movq %xmm3, $acc1 + test $acc0, $acc0 + jnz .Ladd_proceed$x # (in1infty || in2infty)? + test $acc1, $acc1 + jz .Ladd_proceed$x # is_equal(S1,S2)? + + movq %xmm0, $r_ptr # restore $r_ptr + pxor %xmm0, %xmm0 + movdqu %xmm0, 0x00($r_ptr) + movdqu %xmm0, 0x10($r_ptr) + movdqu %xmm0, 0x20($r_ptr) + movdqu %xmm0, 0x30($r_ptr) + movdqu %xmm0, 0x40($r_ptr) + movdqu %xmm0, 0x50($r_ptr) + jmp .Ladd_done$x + +.align 32 +.Ladd_proceed$x: + `&load_for_sqr("$R(%rsp)", "$src0")` + lea $Rsqr(%rsp), $r_ptr # R^2 + call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Rsqr, R); + + `&load_for_mul("$H(%rsp)", "$in1_z(%rsp)", "$src0")` + lea $res_z(%rsp), $r_ptr # Z3 = H*Z1*Z2 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(res_z, H, in1_z); + + `&load_for_sqr("$H(%rsp)", "$src0")` + lea $Hsqr(%rsp), $r_ptr # H^2 + call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Hsqr, H); + + `&load_for_mul("$res_z(%rsp)", "$in2_z(%rsp)", "$src0")` + lea $res_z(%rsp), $r_ptr # Z3 = H*Z1*Z2 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(res_z, res_z, in2_z); + + `&load_for_mul("$Hsqr(%rsp)", "$H(%rsp)", "$src0")` + lea $Hcub(%rsp), $r_ptr # H^3 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(Hcub, Hsqr, H); + + `&load_for_mul("$Hsqr(%rsp)", "$U1(%rsp)", "$src0")` + lea $U2(%rsp), $r_ptr # U1*H^2 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(U2, U1, Hsqr); +___ +{ +####################################################################### +# operate in 4-5-0-1 "name space" that matches multiplication output +# +my ($acc0,$acc1,$acc2,$acc3,$t3,$t4)=($acc4,$acc5,$acc0,$acc1,$acc2,$acc3); +my ($poly1, $poly3)=($acc6,$acc7); + +$code.=<<___; + #lea $U2(%rsp), $a_ptr + #lea $Hsqr(%rsp), $r_ptr # 2*U1*H^2 + #call __ecp_nistz256_mul_by_2 # ecp_nistz256_mul_by_2(Hsqr, U2); + + add $acc0, $acc0 # a0:a3+a0:a3 + lea $Rsqr(%rsp), $a_ptr + adc $acc1, $acc1 + mov $acc0, $t0 + adc $acc2, $acc2 + adc $acc3, $acc3 + mov $acc1, $t1 + sbb $t4, $t4 + + sub \$-1, $acc0 + mov $acc2, $t2 + sbb $poly1, $acc1 + sbb \$0, $acc2 + mov $acc3, $t3 + sbb $poly3, $acc3 + test $t4, $t4 + + cmovz $t0, $acc0 + mov 8*0($a_ptr), $t0 + cmovz $t1, $acc1 + mov 8*1($a_ptr), $t1 + cmovz $t2, $acc2 + mov 8*2($a_ptr), $t2 + cmovz $t3, $acc3 + mov 8*3($a_ptr), $t3 + + call __ecp_nistz256_sub$x # p256_sub(res_x, Rsqr, Hsqr); + + lea $Hcub(%rsp), $b_ptr + lea $res_x(%rsp), $r_ptr + call __ecp_nistz256_sub_from$x # p256_sub(res_x, res_x, Hcub); + + mov $U2+8*0(%rsp), $t0 + mov $U2+8*1(%rsp), $t1 + mov $U2+8*2(%rsp), $t2 + mov $U2+8*3(%rsp), $t3 + lea $res_y(%rsp), $r_ptr + + call __ecp_nistz256_sub$x # p256_sub(res_y, U2, res_x); + + mov $acc0, 8*0($r_ptr) # save the result, as + mov $acc1, 8*1($r_ptr) # __ecp_nistz256_sub doesn't + mov $acc2, 8*2($r_ptr) + mov $acc3, 8*3($r_ptr) +___ +} +$code.=<<___; + `&load_for_mul("$S1(%rsp)", "$Hcub(%rsp)", "$src0")` + lea $S2(%rsp), $r_ptr + call __ecp_nistz256_mul_mont$x # p256_mul_mont(S2, S1, Hcub); + + `&load_for_mul("$R(%rsp)", "$res_y(%rsp)", "$src0")` + lea $res_y(%rsp), $r_ptr + call __ecp_nistz256_mul_mont$x # p256_mul_mont(res_y, R, res_y); + + lea $S2(%rsp), $b_ptr + lea $res_y(%rsp), $r_ptr + call __ecp_nistz256_sub_from$x # p256_sub(res_y, res_y, S2); + + movq %xmm0, $r_ptr # restore $r_ptr + + movdqa %xmm5, %xmm0 # copy_conditional(res_z, in2_z, in1infty); + movdqa %xmm5, %xmm1 + pandn $res_z(%rsp), %xmm0 + movdqa %xmm5, %xmm2 + pandn $res_z+0x10(%rsp), %xmm1 + movdqa %xmm5, %xmm3 + pand $in2_z(%rsp), %xmm2 + pand $in2_z+0x10(%rsp), %xmm3 + por %xmm0, %xmm2 + por %xmm1, %xmm3 + + movdqa %xmm4, %xmm0 # copy_conditional(res_z, in1_z, in2infty); + movdqa %xmm4, %xmm1 + pandn %xmm2, %xmm0 + movdqa %xmm4, %xmm2 + pandn %xmm3, %xmm1 + movdqa %xmm4, %xmm3 + pand $in1_z(%rsp), %xmm2 + pand $in1_z+0x10(%rsp), %xmm3 + por %xmm0, %xmm2 + por %xmm1, %xmm3 + movdqu %xmm2, 0x40($r_ptr) + movdqu %xmm3, 0x50($r_ptr) + + movdqa %xmm5, %xmm0 # copy_conditional(res_x, in2_x, in1infty); + movdqa %xmm5, %xmm1 + pandn $res_x(%rsp), %xmm0 + movdqa %xmm5, %xmm2 + pandn $res_x+0x10(%rsp), %xmm1 + movdqa %xmm5, %xmm3 + pand $in2_x(%rsp), %xmm2 + pand $in2_x+0x10(%rsp), %xmm3 + por %xmm0, %xmm2 + por %xmm1, %xmm3 + + movdqa %xmm4, %xmm0 # copy_conditional(res_x, in1_x, in2infty); + movdqa %xmm4, %xmm1 + pandn %xmm2, %xmm0 + movdqa %xmm4, %xmm2 + pandn %xmm3, %xmm1 + movdqa %xmm4, %xmm3 + pand $in1_x(%rsp), %xmm2 + pand $in1_x+0x10(%rsp), %xmm3 + por %xmm0, %xmm2 + por %xmm1, %xmm3 + movdqu %xmm2, 0x00($r_ptr) + movdqu %xmm3, 0x10($r_ptr) + + movdqa %xmm5, %xmm0 # copy_conditional(res_y, in2_y, in1infty); + movdqa %xmm5, %xmm1 + pandn $res_y(%rsp), %xmm0 + movdqa %xmm5, %xmm2 + pandn $res_y+0x10(%rsp), %xmm1 + movdqa %xmm5, %xmm3 + pand $in2_y(%rsp), %xmm2 + pand $in2_y+0x10(%rsp), %xmm3 + por %xmm0, %xmm2 + por %xmm1, %xmm3 + + movdqa %xmm4, %xmm0 # copy_conditional(res_y, in1_y, in2infty); + movdqa %xmm4, %xmm1 + pandn %xmm2, %xmm0 + movdqa %xmm4, %xmm2 + pandn %xmm3, %xmm1 + movdqa %xmm4, %xmm3 + pand $in1_y(%rsp), %xmm2 + pand $in1_y+0x10(%rsp), %xmm3 + por %xmm0, %xmm2 + por %xmm1, %xmm3 + movdqu %xmm2, 0x20($r_ptr) + movdqu %xmm3, 0x30($r_ptr) + +.Ladd_done$x: + add \$32*18+8, %rsp + pop %r15 + pop %r14 + pop %r13 + pop %r12 + pop %rbx + pop %rbp + ret +.size ecp_nistz256_point_add$sfx,.-ecp_nistz256_point_add$sfx +___ +} +&gen_add("q"); + +sub gen_add_affine () { + my $x = shift; + my ($src0,$sfx,$bias); + my ($U2,$S2,$H,$R,$Hsqr,$Hcub,$Rsqr, + $res_x,$res_y,$res_z, + $in1_x,$in1_y,$in1_z, + $in2_x,$in2_y)=map(32*$_,(0..14)); + my $Z1sqr = $S2; + + if ($x ne "x") { + $src0 = "%rax"; + $sfx = ""; + $bias = 0; + +$code.=<<___; +.globl ecp_nistz256_point_add_affine +.type ecp_nistz256_point_add_affine,\@function,3 +.align 32 +ecp_nistz256_point_add_affine: +___ +$code.=<<___ if ($addx); + mov \$0x80100, %ecx + and OPENSSL_ia32cap_P+8(%rip), %ecx + cmp \$0x80100, %ecx + je .Lpoint_add_affinex +___ + } else { + $src0 = "%rdx"; + $sfx = "x"; + $bias = 128; + +$code.=<<___; +.type ecp_nistz256_point_add_affinex,\@function,3 +.align 32 +ecp_nistz256_point_add_affinex: +.Lpoint_add_affinex: +___ + } +$code.=<<___; + push %rbp + push %rbx + push %r12 + push %r13 + push %r14 + push %r15 + sub \$32*15+8, %rsp + + movdqu 0x00($a_ptr), %xmm0 # copy *(P256_POINT *)$a_ptr + mov $b_org, $b_ptr # reassign + movdqu 0x10($a_ptr), %xmm1 + movdqu 0x20($a_ptr), %xmm2 + movdqu 0x30($a_ptr), %xmm3 + movdqu 0x40($a_ptr), %xmm4 + movdqu 0x50($a_ptr), %xmm5 + mov 0x40+8*0($a_ptr), $src0 # load original in1_z + mov 0x40+8*1($a_ptr), $acc6 + mov 0x40+8*2($a_ptr), $acc7 + mov 0x40+8*3($a_ptr), $acc0 + movdqa %xmm0, $in1_x(%rsp) + movdqa %xmm1, $in1_x+0x10(%rsp) + por %xmm0, %xmm1 + movdqa %xmm2, $in1_y(%rsp) + movdqa %xmm3, $in1_y+0x10(%rsp) + por %xmm2, %xmm3 + movdqa %xmm4, $in1_z(%rsp) + movdqa %xmm5, $in1_z+0x10(%rsp) + por %xmm1, %xmm3 + + movdqu 0x00($b_ptr), %xmm0 # copy *(P256_POINT_AFFINE *)$b_ptr + pshufd \$0xb1, %xmm3, %xmm5 + movdqu 0x10($b_ptr), %xmm1 + movdqu 0x20($b_ptr), %xmm2 + por %xmm3, %xmm5 + movdqu 0x30($b_ptr), %xmm3 + movdqa %xmm0, $in2_x(%rsp) + pshufd \$0x1e, %xmm5, %xmm4 + movdqa %xmm1, $in2_x+0x10(%rsp) + por %xmm0, %xmm1 + movq $r_ptr, %xmm0 # save $r_ptr + movdqa %xmm2, $in2_y(%rsp) + movdqa %xmm3, $in2_y+0x10(%rsp) + por %xmm2, %xmm3 + por %xmm4, %xmm5 + pxor %xmm4, %xmm4 + por %xmm1, %xmm3 + + lea 0x40-$bias($a_ptr), $a_ptr # $a_ptr is still valid + lea $Z1sqr(%rsp), $r_ptr # Z1^2 + call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Z1sqr, in1_z); + + pcmpeqd %xmm4, %xmm5 + pshufd \$0xb1, %xmm3, %xmm4 + mov 0x00($b_ptr), $src0 # $b_ptr is still valid + #lea 0x00($b_ptr), $b_ptr + mov $acc4, $acc1 # harmonize sqr output and mul input + por %xmm3, %xmm4 + pshufd \$0, %xmm5, %xmm5 # in1infty + pshufd \$0x1e, %xmm4, %xmm3 + mov $acc5, $acc2 + por %xmm3, %xmm4 + pxor %xmm3, %xmm3 + mov $acc6, $acc3 + pcmpeqd %xmm3, %xmm4 + pshufd \$0, %xmm4, %xmm4 # in2infty + + lea $Z1sqr-$bias(%rsp), $a_ptr + mov $acc7, $acc4 + lea $U2(%rsp), $r_ptr # U2 = X2*Z1^2 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(U2, Z1sqr, in2_x); + + lea $in1_x(%rsp), $b_ptr + lea $H(%rsp), $r_ptr # H = U2 - U1 + call __ecp_nistz256_sub_from$x # p256_sub(H, U2, in1_x); + + `&load_for_mul("$Z1sqr(%rsp)", "$in1_z(%rsp)", "$src0")` + lea $S2(%rsp), $r_ptr # S2 = Z1^3 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(S2, Z1sqr, in1_z); + + `&load_for_mul("$H(%rsp)", "$in1_z(%rsp)", "$src0")` + lea $res_z(%rsp), $r_ptr # Z3 = H*Z1*Z2 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(res_z, H, in1_z); + + `&load_for_mul("$S2(%rsp)", "$in2_y(%rsp)", "$src0")` + lea $S2(%rsp), $r_ptr # S2 = Y2*Z1^3 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(S2, S2, in2_y); + + lea $in1_y(%rsp), $b_ptr + lea $R(%rsp), $r_ptr # R = S2 - S1 + call __ecp_nistz256_sub_from$x # p256_sub(R, S2, in1_y); + + `&load_for_sqr("$H(%rsp)", "$src0")` + lea $Hsqr(%rsp), $r_ptr # H^2 + call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Hsqr, H); + + `&load_for_sqr("$R(%rsp)", "$src0")` + lea $Rsqr(%rsp), $r_ptr # R^2 + call __ecp_nistz256_sqr_mont$x # p256_sqr_mont(Rsqr, R); + + `&load_for_mul("$H(%rsp)", "$Hsqr(%rsp)", "$src0")` + lea $Hcub(%rsp), $r_ptr # H^3 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(Hcub, Hsqr, H); + + `&load_for_mul("$Hsqr(%rsp)", "$in1_x(%rsp)", "$src0")` + lea $U2(%rsp), $r_ptr # U1*H^2 + call __ecp_nistz256_mul_mont$x # p256_mul_mont(U2, in1_x, Hsqr); +___ +{ +####################################################################### +# operate in 4-5-0-1 "name space" that matches multiplication output +# +my ($acc0,$acc1,$acc2,$acc3,$t3,$t4)=($acc4,$acc5,$acc0,$acc1,$acc2,$acc3); +my ($poly1, $poly3)=($acc6,$acc7); + +$code.=<<___; + #lea $U2(%rsp), $a_ptr + #lea $Hsqr(%rsp), $r_ptr # 2*U1*H^2 + #call __ecp_nistz256_mul_by_2 # ecp_nistz256_mul_by_2(Hsqr, U2); + + add $acc0, $acc0 # a0:a3+a0:a3 + lea $Rsqr(%rsp), $a_ptr + adc $acc1, $acc1 + mov $acc0, $t0 + adc $acc2, $acc2 + adc $acc3, $acc3 + mov $acc1, $t1 + sbb $t4, $t4 + + sub \$-1, $acc0 + mov $acc2, $t2 + sbb $poly1, $acc1 + sbb \$0, $acc2 + mov $acc3, $t3 + sbb $poly3, $acc3 + test $t4, $t4 + + cmovz $t0, $acc0 + mov 8*0($a_ptr), $t0 + cmovz $t1, $acc1 + mov 8*1($a_ptr), $t1 + cmovz $t2, $acc2 + mov 8*2($a_ptr), $t2 + cmovz $t3, $acc3 + mov 8*3($a_ptr), $t3 + + call __ecp_nistz256_sub$x # p256_sub(res_x, Rsqr, Hsqr); + + lea $Hcub(%rsp), $b_ptr + lea $res_x(%rsp), $r_ptr + call __ecp_nistz256_sub_from$x # p256_sub(res_x, res_x, Hcub); + + mov $U2+8*0(%rsp), $t0 + mov $U2+8*1(%rsp), $t1 + mov $U2+8*2(%rsp), $t2 + mov $U2+8*3(%rsp), $t3 + lea $H(%rsp), $r_ptr + + call __ecp_nistz256_sub$x # p256_sub(H, U2, res_x); + + mov $acc0, 8*0($r_ptr) # save the result, as + mov $acc1, 8*1($r_ptr) # __ecp_nistz256_sub doesn't + mov $acc2, 8*2($r_ptr) + mov $acc3, 8*3($r_ptr) +___ +} +$code.=<<___; + `&load_for_mul("$Hcub(%rsp)", "$in1_y(%rsp)", "$src0")` + lea $S2(%rsp), $r_ptr + call __ecp_nistz256_mul_mont$x # p256_mul_mont(S2, Hcub, in1_y); + + `&load_for_mul("$H(%rsp)", "$R(%rsp)", "$src0")` + lea $H(%rsp), $r_ptr + call __ecp_nistz256_mul_mont$x # p256_mul_mont(H, H, R); + + lea $S2(%rsp), $b_ptr + lea $res_y(%rsp), $r_ptr + call __ecp_nistz256_sub_from$x # p256_sub(res_y, H, S2); + + movq %xmm0, $r_ptr # restore $r_ptr + + movdqa %xmm5, %xmm0 # copy_conditional(res_z, ONE, in1infty); + movdqa %xmm5, %xmm1 + pandn $res_z(%rsp), %xmm0 + movdqa %xmm5, %xmm2 + pandn $res_z+0x10(%rsp), %xmm1 + movdqa %xmm5, %xmm3 + pand .LONE_mont(%rip), %xmm2 + pand .LONE_mont+0x10(%rip), %xmm3 + por %xmm0, %xmm2 + por %xmm1, %xmm3 + + movdqa %xmm4, %xmm0 # copy_conditional(res_z, in1_z, in2infty); + movdqa %xmm4, %xmm1 + pandn %xmm2, %xmm0 + movdqa %xmm4, %xmm2 + pandn %xmm3, %xmm1 + movdqa %xmm4, %xmm3 + pand $in1_z(%rsp), %xmm2 + pand $in1_z+0x10(%rsp), %xmm3 + por %xmm0, %xmm2 + por %xmm1, %xmm3 + movdqu %xmm2, 0x40($r_ptr) + movdqu %xmm3, 0x50($r_ptr) + + movdqa %xmm5, %xmm0 # copy_conditional(res_x, in2_x, in1infty); + movdqa %xmm5, %xmm1 + pandn $res_x(%rsp), %xmm0 + movdqa %xmm5, %xmm2 + pandn $res_x+0x10(%rsp), %xmm1 + movdqa %xmm5, %xmm3 + pand $in2_x(%rsp), %xmm2 + pand $in2_x+0x10(%rsp), %xmm3 + por %xmm0, %xmm2 + por %xmm1, %xmm3 + + movdqa %xmm4, %xmm0 # copy_conditional(res_x, in1_x, in2infty); + movdqa %xmm4, %xmm1 + pandn %xmm2, %xmm0 + movdqa %xmm4, %xmm2 + pandn %xmm3, %xmm1 + movdqa %xmm4, %xmm3 + pand $in1_x(%rsp), %xmm2 + pand $in1_x+0x10(%rsp), %xmm3 + por %xmm0, %xmm2 + por %xmm1, %xmm3 + movdqu %xmm2, 0x00($r_ptr) + movdqu %xmm3, 0x10($r_ptr) + + movdqa %xmm5, %xmm0 # copy_conditional(res_y, in2_y, in1infty); + movdqa %xmm5, %xmm1 + pandn $res_y(%rsp), %xmm0 + movdqa %xmm5, %xmm2 + pandn $res_y+0x10(%rsp), %xmm1 + movdqa %xmm5, %xmm3 + pand $in2_y(%rsp), %xmm2 + pand $in2_y+0x10(%rsp), %xmm3 + por %xmm0, %xmm2 + por %xmm1, %xmm3 + + movdqa %xmm4, %xmm0 # copy_conditional(res_y, in1_y, in2infty); + movdqa %xmm4, %xmm1 + pandn %xmm2, %xmm0 + movdqa %xmm4, %xmm2 + pandn %xmm3, %xmm1 + movdqa %xmm4, %xmm3 + pand $in1_y(%rsp), %xmm2 + pand $in1_y+0x10(%rsp), %xmm3 + por %xmm0, %xmm2 + por %xmm1, %xmm3 + movdqu %xmm2, 0x20($r_ptr) + movdqu %xmm3, 0x30($r_ptr) + + add \$32*15+8, %rsp + pop %r15 + pop %r14 + pop %r13 + pop %r12 + pop %rbx + pop %rbp + ret +.size ecp_nistz256_point_add_affine$sfx,.-ecp_nistz256_point_add_affine$sfx +___ +} +&gen_add_affine("q"); + +######################################################################## +# AD*X magic +# +if ($addx) { { +######################################################################## +# operate in 4-5-0-1 "name space" that matches multiplication output +# +my ($a0,$a1,$a2,$a3,$t3,$t4)=($acc4,$acc5,$acc0,$acc1,$acc2,$acc3); + +$code.=<<___; +.type __ecp_nistz256_add_tox,\@abi-omnipotent +.align 32 +__ecp_nistz256_add_tox: + xor $t4, $t4 + adc 8*0($b_ptr), $a0 + adc 8*1($b_ptr), $a1 + mov $a0, $t0 + adc 8*2($b_ptr), $a2 + adc 8*3($b_ptr), $a3 + mov $a1, $t1 + adc \$0, $t4 + + xor $t3, $t3 + sbb \$-1, $a0 + mov $a2, $t2 + sbb $poly1, $a1 + sbb \$0, $a2 + mov $a3, $t3 + sbb $poly3, $a3 + + bt \$0, $t4 + cmovnc $t0, $a0 + cmovnc $t1, $a1 + mov $a0, 8*0($r_ptr) + cmovnc $t2, $a2 + mov $a1, 8*1($r_ptr) + cmovnc $t3, $a3 + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) + + ret +.size __ecp_nistz256_add_tox,.-__ecp_nistz256_add_tox + +.type __ecp_nistz256_sub_fromx,\@abi-omnipotent +.align 32 +__ecp_nistz256_sub_fromx: + xor $t4, $t4 + sbb 8*0($b_ptr), $a0 + sbb 8*1($b_ptr), $a1 + mov $a0, $t0 + sbb 8*2($b_ptr), $a2 + sbb 8*3($b_ptr), $a3 + mov $a1, $t1 + sbb \$0, $t4 + + xor $t3, $t3 + adc \$-1, $a0 + mov $a2, $t2 + adc $poly1, $a1 + adc \$0, $a2 + mov $a3, $t3 + adc $poly3, $a3 + + bt \$0, $t4 + cmovnc $t0, $a0 + cmovnc $t1, $a1 + mov $a0, 8*0($r_ptr) + cmovnc $t2, $a2 + mov $a1, 8*1($r_ptr) + cmovnc $t3, $a3 + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) + + ret +.size __ecp_nistz256_sub_fromx,.-__ecp_nistz256_sub_fromx + +.type __ecp_nistz256_subx,\@abi-omnipotent +.align 32 +__ecp_nistz256_subx: + xor $t4, $t4 + sbb $a0, $t0 + sbb $a1, $t1 + mov $t0, $a0 + sbb $a2, $t2 + sbb $a3, $t3 + mov $t1, $a1 + sbb \$0, $t4 + + xor $a3 ,$a3 + adc \$-1, $t0 + mov $t2, $a2 + adc $poly1, $t1 + adc \$0, $t2 + mov $t3, $a3 + adc $poly3, $t3 + + bt \$0, $t4 + cmovc $t0, $a0 + cmovc $t1, $a1 + cmovc $t2, $a2 + cmovc $t3, $a3 + + ret +.size __ecp_nistz256_subx,.-__ecp_nistz256_subx + +.type __ecp_nistz256_mul_by_2x,\@abi-omnipotent +.align 32 +__ecp_nistz256_mul_by_2x: + xor $t4, $t4 + adc $a0, $a0 # a0:a3+a0:a3 + adc $a1, $a1 + mov $a0, $t0 + adc $a2, $a2 + adc $a3, $a3 + mov $a1, $t1 + adc \$0, $t4 + + xor $t3, $t3 + sbb \$-1, $a0 + mov $a2, $t2 + sbb $poly1, $a1 + sbb \$0, $a2 + mov $a3, $t3 + sbb $poly3, $a3 + + bt \$0, $t4 + cmovnc $t0, $a0 + cmovnc $t1, $a1 + mov $a0, 8*0($r_ptr) + cmovnc $t2, $a2 + mov $a1, 8*1($r_ptr) + cmovnc $t3, $a3 + mov $a2, 8*2($r_ptr) + mov $a3, 8*3($r_ptr) + + ret +.size __ecp_nistz256_mul_by_2x,.-__ecp_nistz256_mul_by_2x +___ + } +&gen_double("x"); +&gen_add("x"); +&gen_add_affine("x"); +} +}}} + +$code =~ s/\`([^\`]*)\`/eval $1/gem; +print $code; +close STDOUT; diff --git a/crypto/ec/ec.h b/crypto/ec/ec.h index 99e161e753..72df1fac13 100644 --- a/crypto/ec/ec.h +++ b/crypto/ec/ec.h @@ -1182,6 +1182,11 @@ void ERR_load_EC_strings(void); #define EC_F_NISTP224_PRE_COMP_NEW 227 #define EC_F_NISTP256_PRE_COMP_NEW 236 #define EC_F_NISTP521_PRE_COMP_NEW 237 +#define EC_F_NISTZ256_GET_AFFINE_COORDINATES 240 +#define EC_F_NISTZ256_POINTS_MUL 241 +#define EC_F_NISTZ256_POINTS_MUL_W 242 +#define EC_F_NISTZ256_PRECOMPUTE_MULT 243 +#define EC_F_NISTZ256_PRE_COMP_NEW 244 #define EC_F_O2I_ECPUBLICKEY 152 #define EC_F_OLD_EC_PRIV_DECODE 222 #define EC_F_PKEY_EC_CTRL 197 diff --git a/crypto/ec/ec_curve.c b/crypto/ec/ec_curve.c index 869a384658..83785b92a9 100644 --- a/crypto/ec/ec_curve.c +++ b/crypto/ec/ec_curve.c @@ -2353,11 +2353,15 @@ static const ec_list_element curve_list[] = { { NID_X9_62_prime239v1, &_EC_X9_62_PRIME_239V1.h, 0, "X9.62 curve over a 239 bit prime field" }, { NID_X9_62_prime239v2, &_EC_X9_62_PRIME_239V2.h, 0, "X9.62 curve over a 239 bit prime field" }, { NID_X9_62_prime239v3, &_EC_X9_62_PRIME_239V3.h, 0, "X9.62 curve over a 239 bit prime field" }, -#ifndef OPENSSL_NO_EC_NISTP_64_GCC_128 - { NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1.h, EC_GFp_nistp256_method, "X9.62/SECG curve over a 256 bit prime field" }, + { NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1.h, +#if defined(ECP_NISTZ256_ASM) + EC_GFp_nistz256_method, +#elif !defined(OPENSSL_NO_EC_NISTP_64_GCC_128) + EC_GFp_nistp256_method, #else - { NID_X9_62_prime256v1, &_EC_X9_62_PRIME_256V1.h, 0, "X9.62/SECG curve over a 256 bit prime field" }, + 0, #endif + "X9.62/SECG curve over a 256 bit prime field" }, #ifndef OPENSSL_NO_EC2M /* characteristic two field curves */ /* NIST/SECG curves */ diff --git a/crypto/ec/ec_err.c b/crypto/ec/ec_err.c index b7e18749eb..d152056553 100644 --- a/crypto/ec/ec_err.c +++ b/crypto/ec/ec_err.c @@ -1,6 +1,6 @@ /* crypto/ec/ec_err.c */ /* ==================================================================== - * Copyright (c) 1999-2013 The OpenSSL Project. All rights reserved. + * Copyright (c) 1999-2014 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 @@ -200,6 +200,11 @@ static ERR_STRING_DATA EC_str_functs[]= {ERR_FUNC(EC_F_NISTP224_PRE_COMP_NEW), "NISTP224_PRE_COMP_NEW"}, {ERR_FUNC(EC_F_NISTP256_PRE_COMP_NEW), "NISTP256_PRE_COMP_NEW"}, {ERR_FUNC(EC_F_NISTP521_PRE_COMP_NEW), "NISTP521_PRE_COMP_NEW"}, +{ERR_FUNC(EC_F_NISTZ256_GET_AFFINE_COORDINATES), "NISTZ256_GET_AFFINE_COORDINATES"}, +{ERR_FUNC(EC_F_NISTZ256_POINTS_MUL), "NISTZ256_POINTS_MUL"}, +{ERR_FUNC(EC_F_NISTZ256_POINTS_MUL_W), "NISTZ256_POINTS_MUL_W"}, +{ERR_FUNC(EC_F_NISTZ256_PRECOMPUTE_MULT), "NISTZ256_PRECOMPUTE_MULT"}, +{ERR_FUNC(EC_F_NISTZ256_PRE_COMP_NEW), "NISTZ256_PRE_COMP_NEW"}, {ERR_FUNC(EC_F_O2I_ECPUBLICKEY), "o2i_ECPublicKey"}, {ERR_FUNC(EC_F_OLD_EC_PRIV_DECODE), "OLD_EC_PRIV_DECODE"}, {ERR_FUNC(EC_F_PKEY_EC_CTRL), "PKEY_EC_CTRL"}, diff --git a/crypto/ec/ecp_nistz256.c b/crypto/ec/ecp_nistz256.c new file mode 100644 index 0000000000..521e139093 --- /dev/null +++ b/crypto/ec/ecp_nistz256.c @@ -0,0 +1,1458 @@ +/****************************************************************************** + * * + * Copyright 2014 Intel Corporation * + * * + * Licensed under the Apache License, Version 2.0 (the "License"); * + * you may not use this file except in compliance with the License. * + * You may obtain a copy of the License at * + * * + * http://www.apache.org/licenses/LICENSE-2.0 * + * * + * Unless required by applicable law or agreed to in writing, software * + * distributed under the License is distributed on an "AS IS" BASIS, * + * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * + * See the License for the specific language governing permissions and * + * limitations under the License. * + * * + ****************************************************************************** + * * + * Developers and authors: * + * Shay Gueron (1, 2), and Vlad Krasnov (1) * + * (1) Intel Corporation, Israel Development Center * + * (2) University of Haifa * + * Reference: * + * S.Gueron and V.Krasnov, "Fast Prime Field Elliptic Curve Cryptography with * + * 256 Bit Primes" * + * * + ******************************************************************************/ + +#include + +#include +#include +#include +#include "cryptlib.h" + +#include "ec_lcl.h" + +#if BN_BITS2 != 64 +# define TOBN(hi,lo) lo,hi +#else +# define TOBN(hi,lo) ((BN_ULONG)hi<<32|lo) +#endif + +#if defined(__GNUC__) +# define ALIGN32 __attribute((aligned(32))) +#elif defined(_MSC_VER) +# define ALIGN32 __declspec(align(32)) +#else +# define ALIGN32 +#endif + +#define ALIGNPTR(p,N) ((unsigned char *)p+N-(size_t)p%N) +#define P256_LIMBS (256/BN_BITS2) + +typedef unsigned short u16; + +typedef struct { + BN_ULONG X[P256_LIMBS]; + BN_ULONG Y[P256_LIMBS]; + BN_ULONG Z[P256_LIMBS]; +} P256_POINT; + +typedef struct { + BN_ULONG X[P256_LIMBS]; + BN_ULONG Y[P256_LIMBS]; +} P256_POINT_AFFINE; + +typedef P256_POINT_AFFINE PRECOMP256_ROW[64]; + +/* structure for precomputed multiples of the generator */ +typedef struct ec_pre_comp_st { + const EC_GROUP *group; /* Parent EC_GROUP object */ + size_t w; /* Window size */ + /* Constant time access to the X and Y coordinates of the pre-computed, + * generator multiplies, in the Montgomery domain. Pre-calculated + * multiplies are stored in affine form. */ + PRECOMP256_ROW *precomp; + void *precomp_storage; + int references; +} EC_PRE_COMP; + +/* Functions implemented in assembly */ +/* Modular mul by 2: res = 2*a mod P */ +void ecp_nistz256_mul_by_2(BN_ULONG res[P256_LIMBS], + const BN_ULONG a[P256_LIMBS]); +/* Modular div by 2: res = a/2 mod P */ +void ecp_nistz256_div_by_2(BN_ULONG res[P256_LIMBS], + const BN_ULONG a[P256_LIMBS]); +/* Modular mul by 3: res = 3*a mod P */ +void ecp_nistz256_mul_by_3(BN_ULONG res[P256_LIMBS], + const BN_ULONG a[P256_LIMBS]); +/* Modular add: res = a+b mod P */ +void ecp_nistz256_add(BN_ULONG res[P256_LIMBS], + const BN_ULONG a[P256_LIMBS], + const BN_ULONG b[P256_LIMBS]); +/* Modular sub: res = a-b mod P */ +void ecp_nistz256_sub(BN_ULONG res[P256_LIMBS], + const BN_ULONG a[P256_LIMBS], + const BN_ULONG b[P256_LIMBS]); +/* Modular neg: res = -a mod P */ +void ecp_nistz256_neg(BN_ULONG res[P256_LIMBS], const BN_ULONG a[P256_LIMBS]); +/* Montgomery mul: res = a*b*2^-256 mod P */ +void ecp_nistz256_mul_mont(BN_ULONG res[P256_LIMBS], + const BN_ULONG a[P256_LIMBS], + const BN_ULONG b[P256_LIMBS]); +/* Montgomery sqr: res = a*a*2^-256 mod P */ +void ecp_nistz256_sqr_mont(BN_ULONG res[P256_LIMBS], + const BN_ULONG a[P256_LIMBS]); +/* Convert a number from Montgomery domain, by multiplying with 1 */ +void ecp_nistz256_from_mont(BN_ULONG res[P256_LIMBS], + const BN_ULONG in[P256_LIMBS]); +/* Convert a number to Montgomery domain, by multiplying with 2^512 mod P*/ +void ecp_nistz256_to_mont(BN_ULONG res[P256_LIMBS], + const BN_ULONG in[P256_LIMBS]); +/* Functions that perform constant time access to the precomputed tables */ +void ecp_nistz256_select_w5(P256_POINT * val, + const P256_POINT * in_t, int index); +void ecp_nistz256_select_w7(P256_POINT_AFFINE * val, + const P256_POINT_AFFINE * in_t, int index); + +/* One converted into the Montgomery domain */ +static const BN_ULONG ONE[P256_LIMBS] = { + TOBN(0x00000000, 0x00000001), TOBN(0xffffffff, 0x00000000), + TOBN(0xffffffff, 0xffffffff), TOBN(0x00000000, 0xfffffffe) +}; + +static void *ec_pre_comp_dup(void *); +static void ec_pre_comp_free(void *); +static void ec_pre_comp_clear_free(void *); +static EC_PRE_COMP *ec_pre_comp_new(const EC_GROUP * group); + +/* Precomputed tables for the default generator */ +#include "ecp_nistz256_table.c" + +/* Recode window to a signed digit, see ecp_nistputil.c for details */ +static unsigned int _booth_recode_w5(unsigned int in) +{ + unsigned int s, d; + + s = ~((in >> 5) - 1); + d = (1 << 6) - in - 1; + d = (d & s) | (in & ~s); + d = (d >> 1) + (d & 1); + + return (d << 1) + (s & 1); +} + +static unsigned int _booth_recode_w7(unsigned int in) +{ + unsigned int s, d; + + s = ~((in >> 7) - 1); + d = (1 << 8) - in - 1; + d = (d & s) | (in & ~s); + d = (d >> 1) + (d & 1); + + return (d << 1) + (s & 1); +} + +static void copy_conditional(BN_ULONG dst[P256_LIMBS], + const BN_ULONG src[P256_LIMBS], BN_ULONG move) +{ + BN_ULONG mask1 = -move; + BN_ULONG mask2 = ~mask1; + + dst[0] = (src[0] & mask1) ^ (dst[0] & mask2); + dst[1] = (src[1] & mask1) ^ (dst[1] & mask2); + dst[2] = (src[2] & mask1) ^ (dst[2] & mask2); + dst[3] = (src[3] & mask1) ^ (dst[3] & mask2); + if (P256_LIMBS == 8) { + dst[4] = (src[4] & mask1) ^ (dst[4] & mask2); + dst[5] = (src[5] & mask1) ^ (dst[5] & mask2); + dst[6] = (src[6] & mask1) ^ (dst[6] & mask2); + dst[7] = (src[7] & mask1) ^ (dst[7] & mask2); + } +} + +static BN_ULONG is_zero(BN_ULONG in) +{ + in |= (0 - in); + in = ~in; + in &= BN_MASK2; + in >>= BN_BITS2 - 1; + return in; +} + +static BN_ULONG is_equal(const BN_ULONG a[P256_LIMBS], + const BN_ULONG b[P256_LIMBS]) +{ + BN_ULONG res; + + res = a[0] ^ b[0]; + res |= a[1] ^ b[1]; + res |= a[2] ^ b[2]; + res |= a[3] ^ b[3]; + if (P256_LIMBS == 8) { + res |= a[4] ^ b[4]; + res |= a[5] ^ b[5]; + res |= a[6] ^ b[6]; + res |= a[7] ^ b[7]; + } + + return is_zero(res); +} + +static BN_ULONG is_one(const BN_ULONG a[P256_LIMBS]) +{ + BN_ULONG res; + + res = a[0] ^ ONE[0]; + res |= a[1] ^ ONE[1]; + res |= a[2] ^ ONE[2]; + res |= a[3] ^ ONE[3]; + if (P256_LIMBS == 8) { + res |= a[4] ^ ONE[4]; + res |= a[5] ^ ONE[5]; + res |= a[6] ^ ONE[6]; + } + + return is_zero(res); +} + +#ifndef ECP_NISTZ256_REFERENCE_IMPLEMENTATION +void ecp_nistz256_point_double(P256_POINT * r, const P256_POINT * a); +void ecp_nistz256_point_add(P256_POINT * r, + const P256_POINT * a, const P256_POINT * b); +void ecp_nistz256_point_add_affine(P256_POINT * r, + const P256_POINT * a, + const P256_POINT_AFFINE * b); +#else +/* Point double: r = 2*a */ +static void ecp_nistz256_point_double(P256_POINT * r, const P256_POINT * a) +{ + BN_ULONG S[P256_LIMBS]; + BN_ULONG M[P256_LIMBS]; + BN_ULONG Zsqr[P256_LIMBS]; + BN_ULONG tmp0[P256_LIMBS]; + + const BN_ULONG *in_x = a->X; + const BN_ULONG *in_y = a->Y; + const BN_ULONG *in_z = a->Z; + + BN_ULONG *res_x = r->X; + BN_ULONG *res_y = r->Y; + BN_ULONG *res_z = r->Z; + + ecp_nistz256_mul_by_2(S, in_y); + + ecp_nistz256_sqr_mont(Zsqr, in_z); + + ecp_nistz256_sqr_mont(S, S); + + ecp_nistz256_mul_mont(res_z, in_z, in_y); + ecp_nistz256_mul_by_2(res_z, res_z); + + ecp_nistz256_add(M, in_x, Zsqr); + ecp_nistz256_sub(Zsqr, in_x, Zsqr); + + ecp_nistz256_sqr_mont(res_y, S); + ecp_nistz256_div_by_2(res_y, res_y); + + ecp_nistz256_mul_mont(M, M, Zsqr); + ecp_nistz256_mul_by_3(M, M); + + ecp_nistz256_mul_mont(S, S, in_x); + ecp_nistz256_mul_by_2(tmp0, S); + + ecp_nistz256_sqr_mont(res_x, M); + + ecp_nistz256_sub(res_x, res_x, tmp0); + ecp_nistz256_sub(S, S, res_x); + + ecp_nistz256_mul_mont(S, S, M); + ecp_nistz256_sub(res_y, S, res_y); +} + +/* Point addition: r = a+b */ +static void ecp_nistz256_point_add(P256_POINT * r, + const P256_POINT * a, const P256_POINT * b) +{ + BN_ULONG U2[P256_LIMBS], S2[P256_LIMBS]; + BN_ULONG U1[P256_LIMBS], S1[P256_LIMBS]; + BN_ULONG Z1sqr[P256_LIMBS]; + BN_ULONG Z2sqr[P256_LIMBS]; + BN_ULONG H[P256_LIMBS], R[P256_LIMBS]; + BN_ULONG Hsqr[P256_LIMBS]; + BN_ULONG Rsqr[P256_LIMBS]; + BN_ULONG Hcub[P256_LIMBS]; + + BN_ULONG res_x[P256_LIMBS]; + BN_ULONG res_y[P256_LIMBS]; + BN_ULONG res_z[P256_LIMBS]; + + BN_ULONG in1infty, in2infty; + + const BN_ULONG *in1_x = a->X; + const BN_ULONG *in1_y = a->Y; + const BN_ULONG *in1_z = a->Z; + + const BN_ULONG *in2_x = b->X; + const BN_ULONG *in2_y = b->Y; + const BN_ULONG *in2_z = b->Z; + + /* We encode infinity as (0,0), which is not on the curve, + * so it is OK. */ + in1infty = in1_x[0] | in1_x[1] | in1_x[2] | in1_x[3] | + in1_y[0] | in1_y[1] | in1_y[2] | in1_y[3]; + if (P256_LIMBS == 8) + in1infty |= in1_x[4] | in1_x[5] | in1_x[6] | in1_x[7] | + in1_y[4] | in1_y[5] | in1_y[6] | in1_y[7]; + + in2infty = in2_x[0] | in2_x[1] | in2_x[2] | in2_x[3] | + in2_y[0] | in2_y[1] | in2_y[2] | in2_y[3]; + if (P256_LIMBS == 8) + in2infty |= in2_x[4] | in2_x[5] | in2_x[6] | in2_x[7] | + in2_y[4] | in2_y[5] | in2_y[6] | in2_y[7]; + + in1infty = is_zero(in1infty); + in2infty = is_zero(in2infty); + + ecp_nistz256_sqr_mont(Z2sqr, in2_z); /* Z2^2 */ + ecp_nistz256_sqr_mont(Z1sqr, in1_z); /* Z1^2 */ + + ecp_nistz256_mul_mont(S1, Z2sqr, in2_z); /* S1 = Z2^3 */ + ecp_nistz256_mul_mont(S2, Z1sqr, in1_z); /* S2 = Z1^3 */ + + ecp_nistz256_mul_mont(S1, S1, in1_y); /* S1 = Y1*Z2^3 */ + ecp_nistz256_mul_mont(S2, S2, in2_y); /* S2 = Y2*Z1^3 */ + ecp_nistz256_sub(R, S2, S1); /* R = S2 - S1 */ + + ecp_nistz256_mul_mont(U1, in1_x, Z2sqr); /* U1 = X1*Z2^2 */ + ecp_nistz256_mul_mont(U2, in2_x, Z1sqr); /* U2 = X2*Z1^2 */ + ecp_nistz256_sub(H, U2, U1); /* H = U2 - U1 */ + + /* This should not happen during sign/ecdh, + * so no constant time violation */ + if (is_equal(U1, U2) && !in1infty && !in2infty) { + if (is_equal(S1, S2)) { + ecp_nistz256_point_double(r, a); + return; + } else { + memset(r, 0, sizeof(*r)); + return; + } + } + + ecp_nistz256_sqr_mont(Rsqr, R); /* R^2 */ + ecp_nistz256_mul_mont(res_z, H, in1_z); /* Z3 = H*Z1*Z2 */ + ecp_nistz256_sqr_mont(Hsqr, H); /* H^2 */ + ecp_nistz256_mul_mont(res_z, res_z, in2_z); /* Z3 = H*Z1*Z2 */ + ecp_nistz256_mul_mont(Hcub, Hsqr, H); /* H^3 */ + + ecp_nistz256_mul_mont(U2, U1, Hsqr); /* U1*H^2 */ + ecp_nistz256_mul_by_2(Hsqr, U2); /* 2*U1*H^2 */ + + ecp_nistz256_sub(res_x, Rsqr, Hsqr); + ecp_nistz256_sub(res_x, res_x, Hcub); + + ecp_nistz256_sub(res_y, U2, res_x); + + ecp_nistz256_mul_mont(S2, S1, Hcub); + ecp_nistz256_mul_mont(res_y, R, res_y); + ecp_nistz256_sub(res_y, res_y, S2); + + copy_conditional(res_x, in2_x, in1infty); + copy_conditional(res_y, in2_y, in1infty); + copy_conditional(res_z, in2_z, in1infty); + + copy_conditional(res_x, in1_x, in2infty); + copy_conditional(res_y, in1_y, in2infty); + copy_conditional(res_z, in1_z, in2infty); + + memcpy(r->X, res_x, sizeof(res_x)); + memcpy(r->Y, res_y, sizeof(res_y)); + memcpy(r->Z, res_z, sizeof(res_z)); +} + +/* Point addition when b is known to be affine: r = a+b */ +static void ecp_nistz256_point_add_affine(P256_POINT * r, + const P256_POINT * a, + const P256_POINT_AFFINE * b) +{ + BN_ULONG U2[P256_LIMBS], S2[P256_LIMBS]; + BN_ULONG Z1sqr[P256_LIMBS]; + BN_ULONG H[P256_LIMBS], R[P256_LIMBS]; + BN_ULONG Hsqr[P256_LIMBS]; + BN_ULONG Rsqr[P256_LIMBS]; + BN_ULONG Hcub[P256_LIMBS]; + + BN_ULONG res_x[P256_LIMBS]; + BN_ULONG res_y[P256_LIMBS]; + BN_ULONG res_z[P256_LIMBS]; + + BN_ULONG in1infty, in2infty; + + const BN_ULONG *in1_x = a->X; + const BN_ULONG *in1_y = a->Y; + const BN_ULONG *in1_z = a->Z; + + const BN_ULONG *in2_x = b->X; + const BN_ULONG *in2_y = b->Y; + + /* In affine representation we encode infty as (0,0), + * which is not on the curve, so it is OK */ + in1infty = in1_x[0] | in1_x[1] | in1_x[2] | in1_x[3] | + in1_y[0] | in1_y[1] | in1_y[2] | in1_y[3]; + if (P256_LIMBS == 8) + in1infty |= in1_x[4] | in1_x[5] | in1_x[6] | in1_x[7] | + in1_y[4] | in1_y[5] | in1_y[6] | in1_y[7]; + + in2infty = in2_x[0] | in2_x[1] | in2_x[2] | in2_x[3] | + in2_y[0] | in2_y[1] | in2_y[2] | in2_y[3]; + if (P256_LIMBS == 8) + in2infty |= in2_x[4] | in2_x[5] | in2_x[6] | in2_x[7] | + in2_y[4] | in2_y[5] | in2_y[6] | in2_y[7]; + + in1infty = is_zero(in1infty); + in2infty = is_zero(in2infty); + + ecp_nistz256_sqr_mont(Z1sqr, in1_z); /* Z1^2 */ + + ecp_nistz256_mul_mont(U2, in2_x, Z1sqr); /* U2 = X2*Z1^2 */ + ecp_nistz256_sub(H, U2, in1_x); /* H = U2 - U1 */ + + ecp_nistz256_mul_mont(S2, Z1sqr, in1_z); /* S2 = Z1^3 */ + + ecp_nistz256_mul_mont(res_z, H, in1_z); /* Z3 = H*Z1*Z2 */ + + ecp_nistz256_mul_mont(S2, S2, in2_y); /* S2 = Y2*Z1^3 */ + ecp_nistz256_sub(R, S2, in1_y); /* R = S2 - S1 */ + + ecp_nistz256_sqr_mont(Hsqr, H); /* H^2 */ + ecp_nistz256_sqr_mont(Rsqr, R); /* R^2 */ + ecp_nistz256_mul_mont(Hcub, Hsqr, H); /* H^3 */ + + ecp_nistz256_mul_mont(U2, in1_x, Hsqr); /* U1*H^2 */ + ecp_nistz256_mul_by_2(Hsqr, U2); /* 2*U1*H^2 */ + + ecp_nistz256_sub(res_x, Rsqr, Hsqr); + ecp_nistz256_sub(res_x, res_x, Hcub); + ecp_nistz256_sub(H, U2, res_x); + + ecp_nistz256_mul_mont(S2, in1_y, Hcub); + ecp_nistz256_mul_mont(H, H, R); + ecp_nistz256_sub(res_y, H, S2); + + copy_conditional(res_x, in2_x, in1infty); + copy_conditional(res_x, in1_x, in2infty); + + copy_conditional(res_y, in2_y, in1infty); + copy_conditional(res_y, in1_y, in2infty); + + copy_conditional(res_z, ONE, in1infty); + copy_conditional(res_z, in1_z, in2infty); + + memcpy(r->X, res_x, sizeof(res_x)); + memcpy(r->Y, res_y, sizeof(res_y)); + memcpy(r->Z, res_z, sizeof(res_z)); +} +#endif + +/* r = in^-1 mod p */ +static void ecp_nistz256_mod_inverse(BN_ULONG r[P256_LIMBS], + const BN_ULONG in[P256_LIMBS]) +{ + /* The poly is ffffffff 00000001 00000000 00000000 00000000 ffffffff ffffffff ffffffff + We use FLT and used poly-2 as exponent */ + BN_ULONG p2[P256_LIMBS]; + BN_ULONG p4[P256_LIMBS]; + BN_ULONG p8[P256_LIMBS]; + BN_ULONG p16[P256_LIMBS]; + BN_ULONG p32[P256_LIMBS]; + BN_ULONG res[P256_LIMBS]; + int i; + + ecp_nistz256_sqr_mont(res, in); + ecp_nistz256_mul_mont(p2, res, in); /* 3*p */ + + ecp_nistz256_sqr_mont(res, p2); + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_mul_mont(p4, res, p2); /* f*p */ + + ecp_nistz256_sqr_mont(res, p4); + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_mul_mont(p8, res, p4); /* ff*p */ + + ecp_nistz256_sqr_mont(res, p8); + for (i = 0; i < 7; i++) + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_mul_mont(p16, res, p8); /* ffff*p */ + + ecp_nistz256_sqr_mont(res, p16); + for (i = 0; i < 15; i++) + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_mul_mont(p32, res, p16); /* ffffffff*p */ + + ecp_nistz256_sqr_mont(res, p32); + for (i = 0; i < 31; i++) + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_mul_mont(res, res, in); + + for (i = 0; i < 32 * 4; i++) + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_mul_mont(res, res, p32); + + for (i = 0; i < 32; i++) + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_mul_mont(res, res, p32); + + for (i = 0; i < 16; i++) + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_mul_mont(res, res, p16); + + for (i = 0; i < 8; i++) + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_mul_mont(res, res, p8); + + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_mul_mont(res, res, p4); + + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_mul_mont(res, res, p2); + + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_sqr_mont(res, res); + ecp_nistz256_mul_mont(res, res, in); + + memcpy(r, res, sizeof(res)); +} + +/* ecp_nistz256_bignum_to_field_elem copies the contents of |in| to |out| and + * returns one if it fits. Otherwise it returns zero. */ +static int ecp_nistz256_bignum_to_field_elem(BN_ULONG out[P256_LIMBS], + const BIGNUM * in) +{ + if (in->top > P256_LIMBS) + return 0; + + memset(out, 0, sizeof(BN_ULONG) * P256_LIMBS); + memcpy(out, in->d, sizeof(BN_ULONG) * in->top); + return 1; +} + +/* r = sum(scalar[i]*point[i]) */ +static void ecp_nistz256_windowed_mul(const EC_GROUP * group, + P256_POINT * r, + const BIGNUM ** scalar, + const EC_POINT ** point, + int num, BN_CTX * ctx) +{ + int i, j; + unsigned int index; + unsigned char (*p_str)[33] = NULL; + const unsigned int window_size = 5; + const unsigned int mask = (1 << (window_size + 1)) - 1; + unsigned int wvalue; + BN_ULONG tmp[P256_LIMBS]; + ALIGN32 P256_POINT h; + const BIGNUM **scalars = NULL; + P256_POINT(*table)[16] = NULL; + void *table_storage = NULL; + + if ((table_storage = + OPENSSL_malloc(num * 16 * sizeof(P256_POINT) + 64)) == NULL + || (p_str = + OPENSSL_malloc(num * 33 * sizeof(unsigned char))) == NULL + || (scalars = OPENSSL_malloc(num * sizeof(BIGNUM *))) == NULL) { + ECerr(EC_F_NISTZ256_POINTS_MUL_W, ERR_R_MALLOC_FAILURE); + goto err; + } else { + table = (void *)ALIGNPTR(table_storage, 64); + } + + for (i = 0; i < num; i++) { + P256_POINT *row = table[i]; + + if ((BN_num_bits(scalar[i]) > 256) || BN_is_negative(scalar[i])) { + BIGNUM *mod; + + if ((mod = BN_CTX_get(ctx)) == NULL) + goto err; + if (!BN_nnmod(mod, scalar[i], &group->order, ctx)) { + ECerr(EC_F_NISTZ256_POINTS_MUL_W, ERR_R_BN_LIB); + goto err; + } + scalars[i] = mod; + } else + scalars[i] = scalar[i]; + + for (j = 0; j < scalars[i]->top * BN_BYTES; j += BN_BYTES) { + BN_ULONG d = scalars[i]->d[j / BN_BYTES]; + + p_str[i][j + 0] = d & 0xff; + p_str[i][j + 1] = (d >> 8) & 0xff; + p_str[i][j + 2] = (d >> 16) & 0xff; + p_str[i][j + 3] = (d >>= 24) & 0xff; + if (BN_BYTES == 8) { + d >>= 8; + p_str[i][j + 4] = d & 0xff; + p_str[i][j + 5] = (d >> 8) & 0xff; + p_str[i][j + 6] = (d >> 16) & 0xff; + p_str[i][j + 7] = (d >> 24) & 0xff; + } + } + for (; j < 33; j++) + p_str[i][j] = 0; + + /* table[0] is implicitly (0,0,0) (the point at infinity), + * therefore it is not stored. All other values are actually + * stored with an offset of -1 in table. + */ + + if (!ecp_nistz256_bignum_to_field_elem(row[1 - 1].X, &point[i]->X) + || !ecp_nistz256_bignum_to_field_elem(row[1 - 1].Y, &point[i]->Y) + || !ecp_nistz256_bignum_to_field_elem(row[1 - 1].Z, &point[i]->Z)) { + ECerr(EC_F_NISTZ256_POINTS_MUL_W, EC_R_COORDINATES_OUT_OF_RANGE); + goto err; + } + + ecp_nistz256_point_double(&row[ 2 - 1], &row[ 1 - 1]); + ecp_nistz256_point_add (&row[ 3 - 1], &row[ 2 - 1], &row[1 - 1]); + ecp_nistz256_point_double(&row[ 4 - 1], &row[ 2 - 1]); + ecp_nistz256_point_double(&row[ 6 - 1], &row[ 3 - 1]); + ecp_nistz256_point_double(&row[ 8 - 1], &row[ 4 - 1]); + ecp_nistz256_point_double(&row[12 - 1], &row[ 6 - 1]); + ecp_nistz256_point_add (&row[ 5 - 1], &row[ 4 - 1], &row[1 - 1]); + ecp_nistz256_point_add (&row[ 7 - 1], &row[ 6 - 1], &row[1 - 1]); + ecp_nistz256_point_add (&row[ 9 - 1], &row[ 8 - 1], &row[1 - 1]); + ecp_nistz256_point_add (&row[13 - 1], &row[12 - 1], &row[1 - 1]); + ecp_nistz256_point_double(&row[14 - 1], &row[ 7 - 1]); + ecp_nistz256_point_double(&row[10 - 1], &row[ 5 - 1]); + ecp_nistz256_point_add (&row[15 - 1], &row[14 - 1], &row[1 - 1]); + ecp_nistz256_point_add (&row[11 - 1], &row[10 - 1], &row[1 - 1]); + ecp_nistz256_point_add (&row[16 - 1], &row[15 - 1], &row[1 - 1]); + } + + index = 255; + + wvalue = p_str[0][(index - 1) / 8]; + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + + ecp_nistz256_select_w5(r, table[0], _booth_recode_w5(wvalue) >> 1); + + while (index >= 5) { + for (i = (index == 255 ? 1 : 0); i < num; i++) { + unsigned int off = (index - 1) / 8; + + wvalue = p_str[i][off] | p_str[i][off + 1] << 8; + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + + wvalue = _booth_recode_w5(wvalue); + + ecp_nistz256_select_w5(&h, table[i], wvalue >> 1); + + ecp_nistz256_neg(tmp, h.Y); + copy_conditional(h.Y, tmp, (wvalue & 1)); + + ecp_nistz256_point_add(r, r, &h); + } + + index -= window_size; + + ecp_nistz256_point_double(r, r); + ecp_nistz256_point_double(r, r); + ecp_nistz256_point_double(r, r); + ecp_nistz256_point_double(r, r); + ecp_nistz256_point_double(r, r); + } + + /* Final window */ + for (i = 0; i < num; i++) { + wvalue = p_str[i][0]; + wvalue = (wvalue << 1) & mask; + + wvalue = _booth_recode_w5(wvalue); + + ecp_nistz256_select_w5(&h, table[i], wvalue >> 1); + + ecp_nistz256_neg(tmp, h.Y); + copy_conditional(h.Y, tmp, wvalue & 1); + + ecp_nistz256_point_add(r, r, &h); + } + +err: + if (table_storage) + OPENSSL_free(table_storage); + if (p_str) + OPENSSL_free(p_str); + if (scalars) + OPENSSL_free(scalars); +} + +/* Coordinates of G, for which we have precomputed tables */ +const static BN_ULONG def_xG[P256_LIMBS] = { + TOBN(0x79e730d4, 0x18a9143c), TOBN(0x75ba95fc, 0x5fedb601), + TOBN(0x79fb732b, 0x77622510), TOBN(0x18905f76, 0xa53755c6) +}; + +const static BN_ULONG def_yG[P256_LIMBS] = { + TOBN(0xddf25357, 0xce95560a), TOBN(0x8b4ab8e4, 0xba19e45c), + TOBN(0xd2e88688, 0xdd21f325), TOBN(0x8571ff18, 0x25885d85) +}; + +/* ecp_nistz256_is_affine_G returns one if |generator| is the standard, + * P-256 generator. */ +static int ecp_nistz256_is_affine_G(const EC_POINT * generator) +{ + return (generator->X.top == P256_LIMBS) && + (generator->Y.top == P256_LIMBS) && + (generator->Z.top == (P256_LIMBS - P256_LIMBS / 8)) && + is_equal(generator->X.d, def_xG) && + is_equal(generator->Y.d, def_yG) && is_one(generator->Z.d); +} + +static int ecp_nistz256_mult_precompute(EC_GROUP * group, BN_CTX * ctx) +{ + /* We precompute a table for a Booth encoded exponent (wNAF) based + * computation. Each table holds 64 values for safe access, with an + * implicit value of infinity at index zero. We use window of size 7, + * and therefore require ceil(256/7) = 37 tables. */ + BIGNUM *order; + EC_POINT *P = NULL, *T = NULL; + const EC_POINT *generator; + EC_PRE_COMP *pre_comp; + int i, j, k, ret = 0; + size_t w; + + PRECOMP256_ROW *preComputedTable = NULL; + unsigned char *precomp_storage = NULL; + + /* if there is an old EC_PRE_COMP object, throw it away */ + EC_EX_DATA_free_data(&group->extra_data, ec_pre_comp_dup, + ec_pre_comp_free, ec_pre_comp_clear_free); + + generator = EC_GROUP_get0_generator(group); + if (generator == NULL) { + ECerr(EC_F_NISTZ256_PRECOMPUTE_MULT, EC_R_UNDEFINED_GENERATOR); + return 0; + } + + if (ecp_nistz256_is_affine_G(generator)) { + /* No need to calculate tables for the standard generator + * because we have them statically. */ + return 1; + } + + if ((pre_comp = ec_pre_comp_new(group)) == NULL) + return 0; + + if (ctx == NULL) { + ctx = BN_CTX_new(); + if (ctx == NULL) + goto err; + } + + BN_CTX_start(ctx); + order = BN_CTX_get(ctx); + + if (order == NULL) + goto err; + + if (!EC_GROUP_get_order(group, order, ctx)) + goto err; + + if (BN_is_zero(order)) { + ECerr(EC_F_NISTZ256_PRECOMPUTE_MULT, EC_R_UNKNOWN_ORDER); + goto err; + } + + w = 7; + + if ((precomp_storage = + OPENSSL_malloc(37 * 64 * sizeof(P256_POINT_AFFINE) + 64)) == NULL) { + ECerr(EC_F_NISTZ256_PRECOMPUTE_MULT, ERR_R_MALLOC_FAILURE); + goto err; + } else { + preComputedTable = (void *)ALIGNPTR(precomp_storage, 64); + } + + P = EC_POINT_new(group); + T = EC_POINT_new(group); + + /* The zero entry is implicitly infinity, and we skip it, + * storing other values with -1 offset. */ + EC_POINT_copy(T, generator); + + for (k = 0; k < 64; k++) { + EC_POINT_copy(P, T); + for (j = 0; j < 37; j++) { + /* It would be faster to use + * ec_GFp_simple_points_make_affine and make multiple + * points affine at the same time. */ + ec_GFp_simple_make_affine(group, P, ctx); + ecp_nistz256_bignum_to_field_elem(preComputedTable[j] + [k].X, &P->X); + ecp_nistz256_bignum_to_field_elem(preComputedTable[j] + [k].Y, &P->Y); + for (i = 0; i < 7; i++) + ec_GFp_simple_dbl(group, P, P, ctx); + } + ec_GFp_simple_add(group, T, T, generator, ctx); + } + + pre_comp->group = group; + pre_comp->w = w; + pre_comp->precomp = preComputedTable; + pre_comp->precomp_storage = precomp_storage; + + precomp_storage = NULL; + + if (!EC_EX_DATA_set_data(&group->extra_data, pre_comp, + ec_pre_comp_dup, ec_pre_comp_free, + ec_pre_comp_clear_free)) { + goto err; + } + + pre_comp = NULL; + + ret = 1; + +err: + if (ctx != NULL) + BN_CTX_end(ctx); + if (pre_comp) + ec_pre_comp_free(pre_comp); + if (precomp_storage) + OPENSSL_free(precomp_storage); + if (P) + EC_POINT_free(P); + if (T) + EC_POINT_free(T); + return ret; +} + +/* + * Note that by default ECP_NISTZ256_AVX2 is undefined. While it's great + * code processing 4 points in parallel, corresponding serial operation + * is several times slower, because it uses 29x29=58-bit multiplication + * as opposite to 64x64=128-bit in integer-only scalar case. As result + * it doesn't provide *significant* performance improvement. Note that + * just defining ECP_NISTZ256_AVX2 is not sufficient to make it work, + * you'd need to compile even asm/ecp_nistz256-avx.pl module. + */ +#if defined(ECP_NISTZ256_AVX2) +# if !(defined(__x86_64) || defined(__x86_64__)) || \ + defined(_M_AMD64) || defined(_MX64)) || \ + !(defined(__GNUC__) || defined(_MSC_VER)) /* this is for ALIGN32 */ +# undef ECP_NISTZ256_AVX2 +# else +/* Constant time access, loading four values, from four consecutive tables */ +void ecp_nistz256_avx2_select_w7(P256_POINT_AFFINE * val, + const P256_POINT_AFFINE * in_t, int index); +void ecp_nistz256_avx2_multi_select_w7(void *result, const void *in, int index0, + int index1, int index2, int index3); +void ecp_nistz256_avx2_transpose_convert(void *RESULTx4, const void *in); +void ecp_nistz256_avx2_convert_transpose_back(void *result, const void *Ax4); +void ecp_nistz256_avx2_point_add_affine_x4(void *RESULTx4, const void *Ax4, + const void *Bx4); +void ecp_nistz256_avx2_point_add_affines_x4(void *RESULTx4, const void *Ax4, + const void *Bx4); +void ecp_nistz256_avx2_to_mont(void *RESULTx4, const void *Ax4); +void ecp_nistz256_avx2_from_mont(void *RESULTx4, const void *Ax4); +void ecp_nistz256_avx2_set1(void *RESULTx4); +int ecp_nistz_avx2_eligible(void); + +static void booth_recode_w7(unsigned char *sign, + unsigned char *digit, unsigned char in) +{ + unsigned char s, d; + + s = ~((in >> 7) - 1); + d = (1 << 8) - in - 1; + d = (d & s) | (in & ~s); + d = (d >> 1) + (d & 1); + + *sign = s & 1; + *digit = d; +} + +/* ecp_nistz256_avx2_mul_g performs multiplication by G, using only the + * precomputed table. It does 4 affine point additions in parallel, + * significantly speeding up point multiplication for a fixed value. */ +static void ecp_nistz256_avx2_mul_g(P256_POINT * r, + unsigned char p_str[33], + const + P256_POINT_AFFINE(*preComputedTable)[64]) +{ + const unsigned int window_size = 7; + const unsigned int mask = (1 << (window_size + 1)) - 1; + unsigned int wvalue; + /* Using 4 windows at a time */ + unsigned char sign0, digit0; + unsigned char sign1, digit1; + unsigned char sign2, digit2; + unsigned char sign3, digit3; + unsigned int index = 0; + BN_ULONG tmp[P256_LIMBS]; + int i; + + ALIGN32 BN_ULONG aX4[4 * 9 * 3] = { 0 }; + ALIGN32 BN_ULONG bX4[4 * 9 * 2] = { 0 }; + ALIGN32 P256_POINT_AFFINE point_arr[P256_LIMBS]; + ALIGN32 P256_POINT res_point_arr[P256_LIMBS]; + + /* Initial four windows */ + wvalue = *((u16 *) & p_str[0]); + wvalue = (wvalue << 1) & mask; + index += window_size; + booth_recode_w7(&sign0, &digit0, wvalue); + wvalue = *((u16 *) & p_str[(index - 1) / 8]); + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + index += window_size; + booth_recode_w7(&sign1, &digit1, wvalue); + wvalue = *((u16 *) & p_str[(index - 1) / 8]); + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + index += window_size; + booth_recode_w7(&sign2, &digit2, wvalue); + wvalue = *((u16 *) & p_str[(index - 1) / 8]); + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + index += window_size; + booth_recode_w7(&sign3, &digit3, wvalue); + + ecp_nistz256_avx2_multi_select_w7(point_arr, preComputedTable[0], + digit0, digit1, digit2, digit3); + + ecp_nistz256_neg(tmp, point_arr[0].Y); + copy_conditional(point_arr[0].Y, tmp, sign0); + ecp_nistz256_neg(tmp, point_arr[1].Y); + copy_conditional(point_arr[1].Y, tmp, sign1); + ecp_nistz256_neg(tmp, point_arr[2].Y); + copy_conditional(point_arr[2].Y, tmp, sign2); + ecp_nistz256_neg(tmp, point_arr[3].Y); + copy_conditional(point_arr[3].Y, tmp, sign3); + + ecp_nistz256_avx2_transpose_convert(aX4, point_arr); + ecp_nistz256_avx2_to_mont(aX4, aX4); + ecp_nistz256_avx2_to_mont(&aX4[4 * 9], &aX4[4 * 9]); + ecp_nistz256_avx2_set1(&aX4[4 * 9 * 2]); + + wvalue = *((u16 *) & p_str[(index - 1) / 8]); + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + index += window_size; + booth_recode_w7(&sign0, &digit0, wvalue); + wvalue = *((u16 *) & p_str[(index - 1) / 8]); + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + index += window_size; + booth_recode_w7(&sign1, &digit1, wvalue); + wvalue = *((u16 *) & p_str[(index - 1) / 8]); + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + index += window_size; + booth_recode_w7(&sign2, &digit2, wvalue); + wvalue = *((u16 *) & p_str[(index - 1) / 8]); + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + index += window_size; + booth_recode_w7(&sign3, &digit3, wvalue); + + ecp_nistz256_avx2_multi_select_w7(point_arr, preComputedTable[4 * 1], + digit0, digit1, digit2, digit3); + + ecp_nistz256_neg(tmp, point_arr[0].Y); + copy_conditional(point_arr[0].Y, tmp, sign0); + ecp_nistz256_neg(tmp, point_arr[1].Y); + copy_conditional(point_arr[1].Y, tmp, sign1); + ecp_nistz256_neg(tmp, point_arr[2].Y); + copy_conditional(point_arr[2].Y, tmp, sign2); + ecp_nistz256_neg(tmp, point_arr[3].Y); + copy_conditional(point_arr[3].Y, tmp, sign3); + + ecp_nistz256_avx2_transpose_convert(bX4, point_arr); + ecp_nistz256_avx2_to_mont(bX4, bX4); + ecp_nistz256_avx2_to_mont(&bX4[4 * 9], &bX4[4 * 9]); + /* Optimized when both inputs are affine */ + ecp_nistz256_avx2_point_add_affines_x4(aX4, aX4, bX4); + + for (i = 2; i < 9; i++) { + wvalue = *((u16 *) & p_str[(index - 1) / 8]); + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + index += window_size; + booth_recode_w7(&sign0, &digit0, wvalue); + wvalue = *((u16 *) & p_str[(index - 1) / 8]); + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + index += window_size; + booth_recode_w7(&sign1, &digit1, wvalue); + wvalue = *((u16 *) & p_str[(index - 1) / 8]); + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + index += window_size; + booth_recode_w7(&sign2, &digit2, wvalue); + wvalue = *((u16 *) & p_str[(index - 1) / 8]); + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + index += window_size; + booth_recode_w7(&sign3, &digit3, wvalue); + + ecp_nistz256_avx2_multi_select_w7(point_arr, + preComputedTable[4 * i], + digit0, digit1, digit2, digit3); + + ecp_nistz256_neg(tmp, point_arr[0].Y); + copy_conditional(point_arr[0].Y, tmp, sign0); + ecp_nistz256_neg(tmp, point_arr[1].Y); + copy_conditional(point_arr[1].Y, tmp, sign1); + ecp_nistz256_neg(tmp, point_arr[2].Y); + copy_conditional(point_arr[2].Y, tmp, sign2); + ecp_nistz256_neg(tmp, point_arr[3].Y); + copy_conditional(point_arr[3].Y, tmp, sign3); + + ecp_nistz256_avx2_transpose_convert(bX4, point_arr); + ecp_nistz256_avx2_to_mont(bX4, bX4); + ecp_nistz256_avx2_to_mont(&bX4[4 * 9], &bX4[4 * 9]); + + ecp_nistz256_avx2_point_add_affine_x4(aX4, aX4, bX4); + } + + ecp_nistz256_avx2_from_mont(&aX4[4 * 9 * 0], &aX4[4 * 9 * 0]); + ecp_nistz256_avx2_from_mont(&aX4[4 * 9 * 1], &aX4[4 * 9 * 1]); + ecp_nistz256_avx2_from_mont(&aX4[4 * 9 * 2], &aX4[4 * 9 * 2]); + + ecp_nistz256_avx2_convert_transpose_back(res_point_arr, aX4); + /* Last window is performed serially */ + wvalue = *((u16 *) & p_str[(index - 1) / 8]); + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + booth_recode_w7(&sign0, &digit0, wvalue); + ecp_nistz256_avx2_select_w7((P256_POINT_AFFINE *) r, + preComputedTable[36], digit0); + ecp_nistz256_neg(tmp, r->Y); + copy_conditional(r->Y, tmp, sign0); + memcpy(r->Z, ONE, sizeof(ONE)); + /* Sum the four windows */ + ecp_nistz256_point_add(r, r, &res_point_arr[0]); + ecp_nistz256_point_add(r, r, &res_point_arr[1]); + ecp_nistz256_point_add(r, r, &res_point_arr[2]); + ecp_nistz256_point_add(r, r, &res_point_arr[3]); +} +# endif +#endif + +static int ecp_nistz256_set_from_affine(EC_POINT * out, const EC_GROUP * group, + const P256_POINT_AFFINE * in, + BN_CTX * ctx) +{ + BIGNUM x, y; + BN_ULONG d_x[P256_LIMBS], d_y[P256_LIMBS]; + int ret = 0; + + memcpy(d_x, in->X, sizeof(d_x)); + x.d = d_x; + x.dmax = x.top = P256_LIMBS; + x.neg = 0; + x.flags = BN_FLG_STATIC_DATA; + + memcpy(d_y, in->Y, sizeof(d_y)); + y.d = d_y; + y.dmax = y.top = P256_LIMBS; + y.neg = 0; + y.flags = BN_FLG_STATIC_DATA; + + ret = EC_POINT_set_affine_coordinates_GFp(group, out, &x, &y, ctx); + + return ret; +} + +/* r = scalar*G + sum(scalars[i]*points[i]) */ +static int ecp_nistz256_points_mul(const EC_GROUP * group, + EC_POINT * r, + const BIGNUM * scalar, + size_t num, + const EC_POINT * points[], + const BIGNUM * scalars[], BN_CTX * ctx) +{ + int i = 0, ret = 0, no_precomp_for_generator = 0, p_is_infinity = 0; + unsigned char p_str[33] = { 0 }; + const PRECOMP256_ROW *preComputedTable = NULL; + const EC_PRE_COMP *pre_comp = NULL; + const EC_POINT *generator = NULL; + unsigned int index = 0; + const unsigned int window_size = 7; + const unsigned int mask = (1 << (window_size + 1)) - 1; + unsigned int wvalue; + ALIGN32 union { + P256_POINT p; + P256_POINT_AFFINE a; + } t, p; + BIGNUM *tmp_scalar; + + if (group->meth != r->meth) { + ECerr(EC_F_NISTZ256_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS); + return 0; + } + if ((scalar == NULL) && (num == 0)) + return EC_POINT_set_to_infinity(group, r); + + for (i = 0; i < num; i++) { + if (group->meth != points[i]->meth) { + ECerr(EC_F_NISTZ256_POINTS_MUL, EC_R_INCOMPATIBLE_OBJECTS); + return 0; + } + } + + /* Need 256 bits for space for all coordinates. */ + bn_wexpand(&r->X, P256_LIMBS); + bn_wexpand(&r->Y, P256_LIMBS); + bn_wexpand(&r->Z, P256_LIMBS); + r->X.top = P256_LIMBS; + r->Y.top = P256_LIMBS; + r->Z.top = P256_LIMBS; + + if (scalar) { + generator = EC_GROUP_get0_generator(group); + if (generator == NULL) { + ECerr(EC_F_NISTZ256_POINTS_MUL, EC_R_UNDEFINED_GENERATOR); + goto err; + } + + /* look if we can use precomputed multiples of generator */ + pre_comp = + EC_EX_DATA_get_data(group->extra_data, ec_pre_comp_dup, + ec_pre_comp_free, ec_pre_comp_clear_free); + + if (pre_comp) { + /* If there is a precomputed table for the generator, + * check that it was generated with the same + * generator. */ + EC_POINT *pre_comp_generator = EC_POINT_new(group); + if (pre_comp_generator == NULL) + goto err; + + if (!ecp_nistz256_set_from_affine + (pre_comp_generator, group, pre_comp->precomp[0], ctx)) + goto err; + + if (0 == EC_POINT_cmp(group, generator, pre_comp_generator, ctx)) + preComputedTable = (const PRECOMP256_ROW *)pre_comp->precomp; + + EC_POINT_free(pre_comp_generator); + } + + if (preComputedTable == NULL && ecp_nistz256_is_affine_G(generator)) { + /* If there is no precomputed data, but the generator + * is the default, a hardcoded table of precomputed + * data is used. This is because applications, such as + * Apache, do not use EC_KEY_precompute_mult. */ + preComputedTable = (const PRECOMP256_ROW *)ecp_nistz256_precomputed; + } + + if (preComputedTable) { + if ((BN_num_bits(scalar) > 256) + || BN_is_negative(scalar)) { + if ((tmp_scalar = BN_CTX_get(ctx)) == NULL) + goto err; + + if (!BN_nnmod(tmp_scalar, scalar, &group->order, ctx)) { + ECerr(EC_F_NISTZ256_POINTS_MUL, ERR_R_BN_LIB); + goto err; + } + scalar = tmp_scalar; + } + + for (i = 0; i < scalar->top * BN_BYTES; i += BN_BYTES) { + BN_ULONG d = scalar->d[i / BN_BYTES]; + + p_str[i + 0] = d & 0xff; + p_str[i + 1] = (d >> 8) & 0xff; + p_str[i + 2] = (d >> 16) & 0xff; + p_str[i + 3] = (d >>= 24) & 0xff; + if (BN_BYTES == 8) { + d >>= 8; + p_str[i + 4] = d & 0xff; + p_str[i + 5] = (d >> 8) & 0xff; + p_str[i + 6] = (d >> 16) & 0xff; + p_str[i + 7] = (d >> 24) & 0xff; + } + } + + for (; i < 33; i++) + p_str[i] = 0; + +#if defined(ECP_NISTZ256_AVX2) + if (ecp_nistz_avx2_eligible()) { + ecp_nistz256_avx2_mul_g(&p.p, p_str, preComputedTable); + } else +#endif + { + /* First window */ + wvalue = (p_str[0] << 1) & mask; + index += window_size; + + wvalue = _booth_recode_w7(wvalue); + + ecp_nistz256_select_w7(&p.a, preComputedTable[0], wvalue >> 1); + + ecp_nistz256_neg(p.p.Z, p.p.Y); + copy_conditional(p.p.Y, p.p.Z, wvalue & 1); + + memcpy(p.p.Z, ONE, sizeof(ONE)); + + for (i = 1; i < 37; i++) { + unsigned int off = (index - 1) / 8; + wvalue = p_str[off] | p_str[off + 1] << 8; + wvalue = (wvalue >> ((index - 1) % 8)) & mask; + index += window_size; + + wvalue = _booth_recode_w7(wvalue); + + ecp_nistz256_select_w7(&t.a, + preComputedTable[i], wvalue >> 1); + + ecp_nistz256_neg(t.p.Z, t.a.Y); + copy_conditional(t.a.Y, t.p.Z, wvalue & 1); + + ecp_nistz256_point_add_affine(&p.p, &p.p, &t.a); + } + } + } else { + p_is_infinity = 1; + no_precomp_for_generator = 1; + } + } else + p_is_infinity = 1; + + if (no_precomp_for_generator) { + /* Without a precomputed table for the generator, it has to be + * handled like a normal point. */ + const BIGNUM **new_scalars; + const EC_POINT **new_points; + + new_scalars = OPENSSL_malloc((num + 1) * sizeof(BIGNUM *)); + if (!new_scalars) { + ECerr(EC_F_NISTZ256_POINTS_MUL, ERR_R_MALLOC_FAILURE); + return 0; + } + + new_points = OPENSSL_malloc((num + 1) * sizeof(EC_POINT *)); + if (!new_points) { + OPENSSL_free(new_scalars); + ECerr(EC_F_NISTZ256_POINTS_MUL, ERR_R_MALLOC_FAILURE); + return 0; + } + + memcpy(new_scalars, scalars, num * sizeof(BIGNUM *)); + new_scalars[num] = scalar; + memcpy(new_points, points, num * sizeof(EC_POINT *)); + new_points[num] = generator; + + scalars = new_scalars; + points = new_points; + num++; + } + + if (num) { + P256_POINT *out = &t.p; + if (p_is_infinity) + out = &p.p; + + ecp_nistz256_windowed_mul(group, out, scalars, points, num, ctx); + + if (!p_is_infinity) + ecp_nistz256_point_add(&p.p, &p.p, out); + } + + if (no_precomp_for_generator) { + OPENSSL_free(points); + OPENSSL_free(scalars); + } + + memcpy(r->X.d, p.p.X, sizeof(p.p.X)); + memcpy(r->Y.d, p.p.Y, sizeof(p.p.Y)); + memcpy(r->Z.d, p.p.Z, sizeof(p.p.Z)); + bn_correct_top(&r->X); + bn_correct_top(&r->Y); + bn_correct_top(&r->Z); + + ret = 1; + +err: + return ret; +} + +static int ecp_nistz256_get_affine(const EC_GROUP * group, + const EC_POINT * point, + BIGNUM * x, BIGNUM * y, BN_CTX * ctx) +{ + BN_ULONG z_inv2[P256_LIMBS]; + BN_ULONG z_inv3[P256_LIMBS]; + BN_ULONG x_aff[P256_LIMBS]; + BN_ULONG y_aff[P256_LIMBS]; + BN_ULONG point_x[P256_LIMBS], point_y[P256_LIMBS], point_z[P256_LIMBS]; + + if (EC_POINT_is_at_infinity(group, point)) { + ECerr(EC_F_NISTZ256_GET_AFFINE_COORDINATES, EC_R_POINT_AT_INFINITY); + return 0; + } + + if (!ecp_nistz256_bignum_to_field_elem(point_x, &point->X) || + !ecp_nistz256_bignum_to_field_elem(point_y, &point->Y) || + !ecp_nistz256_bignum_to_field_elem(point_z, &point->Z)) { + ECerr(EC_F_NISTZ256_GET_AFFINE_COORDINATES, + EC_R_COORDINATES_OUT_OF_RANGE); + return 0; + } + + ecp_nistz256_mod_inverse(z_inv3, point_z); + ecp_nistz256_sqr_mont(z_inv2, z_inv3); + ecp_nistz256_mul_mont(x_aff, z_inv2, point_x); + + if (x != NULL) { + bn_wexpand(x, P256_LIMBS); + x->top = P256_LIMBS; + ecp_nistz256_from_mont(x->d, x_aff); + bn_correct_top(x); + } + + if (y != NULL) { + ecp_nistz256_mul_mont(z_inv3, z_inv3, z_inv2); + ecp_nistz256_mul_mont(y_aff, z_inv3, point_y); + bn_wexpand(y, P256_LIMBS); + y->top = P256_LIMBS; + ecp_nistz256_from_mont(y->d, y_aff); + bn_correct_top(y); + } + + return 1; +} + +static EC_PRE_COMP *ec_pre_comp_new(const EC_GROUP * group) +{ + EC_PRE_COMP *ret = NULL; + + if (!group) + return NULL; + + ret = (EC_PRE_COMP *) OPENSSL_malloc(sizeof(EC_PRE_COMP)); + + if (!ret) { + ECerr(EC_F_NISTZ256_PRE_COMP_NEW, ERR_R_MALLOC_FAILURE); + return ret; + } + + ret->group = group; + ret->w = 6; /* default */ + ret->precomp = NULL; + ret->precomp_storage = NULL; + ret->references = 1; + return ret; +} + +static void *ec_pre_comp_dup(void *src_) +{ + EC_PRE_COMP *src = src_; + + /* no need to actually copy, these objects never change! */ + CRYPTO_add(&src->references, 1, CRYPTO_LOCK_EC_PRE_COMP); + + return src_; +} + +static void ec_pre_comp_free(void *pre_) +{ + int i; + EC_PRE_COMP *pre = pre_; + + if (!pre) + return; + + i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP); + if (i > 0) + return; + + if (pre->precomp_storage) + OPENSSL_free(pre->precomp_storage); + + OPENSSL_free(pre); +} + +static void ec_pre_comp_clear_free(void *pre_) +{ + int i; + EC_PRE_COMP *pre = pre_; + + if (!pre) + return; + + i = CRYPTO_add(&pre->references, -1, CRYPTO_LOCK_EC_PRE_COMP); + if (i > 0) + return; + + if (pre->precomp_storage) { + OPENSSL_cleanse(pre->precomp, + 32 * sizeof(unsigned char) * (1 << pre->w) * 2 * 37); + OPENSSL_free(pre->precomp_storage); + } + OPENSSL_cleanse(pre, sizeof *pre); + OPENSSL_free(pre); +} + +static int ecp_nistz256_window_have_precompute_mult(const EC_GROUP * group) +{ + /* There is a hard-coded table for the default generator. */ + const EC_POINT *generator = EC_GROUP_get0_generator(group); + if (generator != NULL && ecp_nistz256_is_affine_G(generator)) { + /* There is a hard-coded table for the default generator. */ + return 1; + } + + return EC_EX_DATA_get_data(group->extra_data, ec_pre_comp_dup, + ec_pre_comp_free, + ec_pre_comp_clear_free) != NULL; +} + +const EC_METHOD *EC_GFp_nistz256_method(void) +{ + static const EC_METHOD ret = { + EC_FLAGS_DEFAULT_OCT, + NID_X9_62_prime_field, + ec_GFp_mont_group_init, + ec_GFp_mont_group_finish, + ec_GFp_mont_group_clear_finish, + ec_GFp_mont_group_copy, + ec_GFp_mont_group_set_curve, + ec_GFp_simple_group_get_curve, + ec_GFp_simple_group_get_degree, + ec_GFp_simple_group_check_discriminant, + ec_GFp_simple_point_init, + ec_GFp_simple_point_finish, + ec_GFp_simple_point_clear_finish, + ec_GFp_simple_point_copy, + ec_GFp_simple_point_set_to_infinity, + ec_GFp_simple_set_Jprojective_coordinates_GFp, + ec_GFp_simple_get_Jprojective_coordinates_GFp, + ec_GFp_simple_point_set_affine_coordinates, + ecp_nistz256_get_affine, + 0, 0, 0, + ec_GFp_simple_add, + ec_GFp_simple_dbl, + ec_GFp_simple_invert, + ec_GFp_simple_is_at_infinity, + ec_GFp_simple_is_on_curve, + ec_GFp_simple_cmp, + ec_GFp_simple_make_affine, + ec_GFp_simple_points_make_affine, + ecp_nistz256_points_mul, /* mul */ + ecp_nistz256_mult_precompute, /* precompute_mult */ + ecp_nistz256_window_have_precompute_mult, /* have_precompute_mult */ + ec_GFp_mont_field_mul, + ec_GFp_mont_field_sqr, + 0, /* field_div */ + ec_GFp_mont_field_encode, + ec_GFp_mont_field_decode, + ec_GFp_mont_field_set_to_one + }; + + return &ret; +} diff --git a/crypto/ec/ecp_nistz256_table.c b/crypto/ec/ecp_nistz256_table.c new file mode 100644 index 0000000000..c5bd8399e1 --- /dev/null +++ b/crypto/ec/ecp_nistz256_table.c @@ -0,0 +1,9534 @@ +/* This is the precomputed constant time access table for the code in + * ecp_montp256.c, for the default generator. + * + * The table consists of 37 subtables, each subtable contains 64 affine points. + * The affine points are encoded as eight uint64's, four for the x coordinate + * and four for the y. Both values are in little-endian order. + * + * There are 37 tables because a signed, 6-bit wNAF form of the scalar is used + * and ceil(256/(6 + 1)) = 37. Within each table there are 64 values because + * the 6-bit wNAF value can take 64 values, ignoring the sign bit, which is + * implemented by performing a negation of the affine point when required. + * + * We would like to align it to 2MB in order to increase the chances of using a + * large page but that appears to lead to invalid ELF files being produced. */ + +#if defined(__GNUC__) +__attribute((aligned(4096))) +#elif defined(_MSC_VER) +__declspec(align(4096)) +#elif defined(__SUNPRO_C) +# pragma align 4096(ecp_nistz256_precomputed) +#endif +static const BN_ULONG ecp_nistz256_precomputed[37][64 * + sizeof(P256_POINT_AFFINE) / + sizeof(BN_ULONG)] = { + {TOBN(0x79e730d4, 0x18a9143c), TOBN(0x75ba95fc, 0x5fedb601), + TOBN(0x79fb732b, 0x77622510), TOBN(0x18905f76, 0xa53755c6), + TOBN(0xddf25357, 0xce95560a), TOBN(0x8b4ab8e4, 0xba19e45c), + TOBN(0xd2e88688, 0xdd21f325), TOBN(0x8571ff18, 0x25885d85), + TOBN(0x850046d4, 0x10ddd64d), TOBN(0xaa6ae3c1, 0xa433827d), + TOBN(0x73220503, 0x8d1490d9), TOBN(0xf6bb32e4, 0x3dcf3a3b), + TOBN(0x2f3648d3, 0x61bee1a5), TOBN(0x152cd7cb, 0xeb236ff8), + TOBN(0x19a8fb0e, 0x92042dbe), TOBN(0x78c57751, 0x0a5b8a3b), + TOBN(0xffac3f90, 0x4eebc127), TOBN(0xb027f84a, 0x087d81fb), + TOBN(0x66ad77dd, 0x87cbbc98), TOBN(0x26936a3f, 0xb6ff747e), + TOBN(0xb04c5c1f, 0xc983a7eb), TOBN(0x583e47ad, 0x0861fe1a), + TOBN(0x78820831, 0x1a2ee98e), TOBN(0xd5f06a29, 0xe587cc07), + TOBN(0x74b0b50d, 0x46918dcc), TOBN(0x4650a6ed, 0xc623c173), + TOBN(0x0cdaacac, 0xe8100af2), TOBN(0x577362f5, 0x41b0176b), + TOBN(0x2d96f24c, 0xe4cbaba6), TOBN(0x17628471, 0xfad6f447), + TOBN(0x6b6c36de, 0xe5ddd22e), TOBN(0x84b14c39, 0x4c5ab863), + TOBN(0xbe1b8aae, 0xc45c61f5), TOBN(0x90ec649a, 0x94b9537d), + TOBN(0x941cb5aa, 0xd076c20c), TOBN(0xc9079605, 0x890523c8), + TOBN(0xeb309b4a, 0xe7ba4f10), TOBN(0x73c568ef, 0xe5eb882b), + TOBN(0x3540a987, 0x7e7a1f68), TOBN(0x73a076bb, 0x2dd1e916), + TOBN(0x40394737, 0x3e77664a), TOBN(0x55ae744f, 0x346cee3e), + TOBN(0xd50a961a, 0x5b17a3ad), TOBN(0x13074b59, 0x54213673), + TOBN(0x93d36220, 0xd377e44b), TOBN(0x299c2b53, 0xadff14b5), + TOBN(0xf424d44c, 0xef639f11), TOBN(0xa4c9916d, 0x4a07f75f), + TOBN(0x0746354e, 0xa0173b4f), TOBN(0x2bd20213, 0xd23c00f7), + TOBN(0xf43eaab5, 0x0c23bb08), TOBN(0x13ba5119, 0xc3123e03), + TOBN(0x2847d030, 0x3f5b9d4d), TOBN(0x6742f2f2, 0x5da67bdd), + TOBN(0xef933bdc, 0x77c94195), TOBN(0xeaedd915, 0x6e240867), + TOBN(0x27f14cd1, 0x9499a78f), TOBN(0x462ab5c5, 0x6f9b3455), + TOBN(0x8f90f02a, 0xf02cfc6b), TOBN(0xb763891e, 0xb265230d), + TOBN(0xf59da3a9, 0x532d4977), TOBN(0x21e3327d, 0xcf9eba15), + TOBN(0x123c7b84, 0xbe60bbf0), TOBN(0x56ec12f2, 0x7706df76), + TOBN(0x75c96e8f, 0x264e20e8), TOBN(0xabe6bfed, 0x59a7a841), + TOBN(0x2cc09c04, 0x44c8eb00), TOBN(0xe05b3080, 0xf0c4e16b), + TOBN(0x1eb7777a, 0xa45f3314), TOBN(0x56af7bed, 0xce5d45e3), + TOBN(0x2b6e019a, 0x88b12f1a), TOBN(0x086659cd, 0xfd835f9b), + TOBN(0x2c18dbd1, 0x9dc21ec8), TOBN(0x98f9868a, 0x0fcf8139), + TOBN(0x737d2cd6, 0x48250b49), TOBN(0xcc61c947, 0x24b3428f), + TOBN(0x0c2b4078, 0x80dd9e76), TOBN(0xc43a8991, 0x383fbe08), + TOBN(0x5f7d2d65, 0x779be5d2), TOBN(0x78719a54, 0xeb3b4ab5), + TOBN(0xea7d260a, 0x6245e404), TOBN(0x9de40795, 0x6e7fdfe0), + TOBN(0x1ff3a415, 0x8dac1ab5), TOBN(0x3e7090f1, 0x649c9073), + TOBN(0x1a768561, 0x2b944e88), TOBN(0x250f939e, 0xe57f61c8), + TOBN(0x0c0daa89, 0x1ead643d), TOBN(0x68930023, 0xe125b88e), + TOBN(0x04b71aa7, 0xd2697768), TOBN(0xabdedef5, 0xca345a33), + TOBN(0x2409d29d, 0xee37385e), TOBN(0x4ee1df77, 0xcb83e156), + TOBN(0x0cac12d9, 0x1cbb5b43), TOBN(0x170ed2f6, 0xca895637), + TOBN(0x28228cfa, 0x8ade6d66), TOBN(0x7ff57c95, 0x53238aca), + TOBN(0xccc42563, 0x4b2ed709), TOBN(0x0e356769, 0x856fd30d), + TOBN(0xbcbcd43f, 0x559e9811), TOBN(0x738477ac, 0x5395b759), + TOBN(0x35752b90, 0xc00ee17f), TOBN(0x68748390, 0x742ed2e3), + TOBN(0x7cd06422, 0xbd1f5bc1), TOBN(0xfbc08769, 0xc9e7b797), + TOBN(0xa242a35b, 0xb0cf664a), TOBN(0x126e48f7, 0x7f9707e3), + TOBN(0x1717bf54, 0xc6832660), TOBN(0xfaae7332, 0xfd12c72e), + TOBN(0x27b52db7, 0x995d586b), TOBN(0xbe29569e, 0x832237c2), + TOBN(0xe8e4193e, 0x2a65e7db), TOBN(0x152706dc, 0x2eaa1bbb), + TOBN(0x72bcd8b7, 0xbc60055b), TOBN(0x03cc23ee, 0x56e27e4b), + TOBN(0xee337424, 0xe4819370), TOBN(0xe2aa0e43, 0x0ad3da09), + TOBN(0x40b8524f, 0x6383c45d), TOBN(0xd7663554, 0x42a41b25), + TOBN(0x64efa6de, 0x778a4797), TOBN(0x2042170a, 0x7079adf4), + TOBN(0x808b0b65, 0x0bc6fb80), TOBN(0x5882e075, 0x3ffe2e6b), + TOBN(0xd5ef2f7c, 0x2c83f549), TOBN(0x54d63c80, 0x9103b723), + TOBN(0xf2f11bd6, 0x52a23f9b), TOBN(0x3670c319, 0x4b0b6587), + TOBN(0x55c4623b, 0xb1580e9e), TOBN(0x64edf7b2, 0x01efe220), + TOBN(0x97091dcb, 0xd53c5c9d), TOBN(0xf17624b6, 0xac0a177b), + TOBN(0xb0f13975, 0x2cfe2dff), TOBN(0xc1a35c0a, 0x6c7a574e), + TOBN(0x227d3146, 0x93e79987), TOBN(0x0575bf30, 0xe89cb80e), + TOBN(0x2f4e247f, 0x0d1883bb), TOBN(0xebd51226, 0x3274c3d0), + TOBN(0x5f3e51c8, 0x56ada97a), TOBN(0x4afc964d, 0x8f8b403e), + TOBN(0xa6f247ab, 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0xd2f8ba3d), TOBN(0xfdc777e8, 0xe93358a4), + TOBN(0x94a787bb, 0x35415f04), TOBN(0x640c2d6a, 0x4d23fea4), + TOBN(0x9de917da, 0x153a35b5), TOBN(0x793e8d07, 0x5d5cd074), + TOBN(0xf4f87653, 0x2de45068), TOBN(0x37c7a7e8, 0x9e2e1f6e), + TOBN(0xd0825fa2, 0xa3584069), TOBN(0xaf2cea7c, 0x1727bf42), + TOBN(0x0360a4fb, 0x9e4785a9), TOBN(0xe5fda49c, 0x27299f4a), + TOBN(0x48068e13, 0x71ac2f71), TOBN(0x83d0687b, 0x9077666f), + TOBN(0x6d3883b2, 0x15d02819), TOBN(0x6d0d7550, 0x40dd9a35), + TOBN(0x61d7cbf9, 0x1d2b469f), TOBN(0xf97b232f, 0x2efc3115), + TOBN(0xa551d750, 0xb24bcbc7), TOBN(0x11ea4949, 0x88a1e356), + TOBN(0x7669f031, 0x93cb7501), TOBN(0x595dc55e, 0xca737b8a), + TOBN(0xa4a319ac, 0xd837879f), TOBN(0x6fc1b49e, 0xed6b67b0), + TOBN(0xe3959933, 0x32f1f3af), TOBN(0x966742eb, 0x65432a2e), + TOBN(0x4b8dc9fe, 0xb4966228), TOBN(0x96cc6312, 0x43f43950), + TOBN(0x12068859, 0xc9b731ee), TOBN(0x7b948dc3, 0x56f79968), + TOBN(0x61e4ad32, 0xed1f8008), TOBN(0xe6c9267a, 0xd8b17538), + TOBN(0x1ac7c5eb, 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0x8c446a85), TOBN(0xbae9bcf1, 0x971f3c62), + TOBN(0x4ec22683, 0x8435a2c5), TOBN(0x8ceaed6c, 0x4bad4643), + TOBN(0xe9f8fb47, 0xccccf4e3), TOBN(0xbd4f3fa4, 0x1ce3b21e), + TOBN(0xd79fb110, 0xa3db3292), TOBN(0xe28a37da, 0xb536c66a), + TOBN(0x279ce87b, 0x8e49e6a9), TOBN(0x70ccfe8d, 0xfdcec8e3), + TOBN(0x2193e4e0, 0x3ba464b2), TOBN(0x0f39d60e, 0xaca9a398), + TOBN(0x7d7932af, 0xf82c12ab), TOBN(0xd8ff50ed, 0x91e7e0f7), + TOBN(0xea961058, 0xfa28a7e0), TOBN(0xc726cf25, 0x0bf5ec74), + TOBN(0xe74d55c8, 0xdb229666), TOBN(0x0bd9abbf, 0xa57f5799), + TOBN(0x7479ef07, 0x4dfc47b3), TOBN(0xd9c65fc3, 0x0c52f91d), + TOBN(0x8e0283fe, 0x36a8bde2), TOBN(0xa32a8b5e, 0x7d4b7280), + TOBN(0x6a677c61, 0x12e83233), TOBN(0x0fbb3512, 0xdcc9bf28), + TOBN(0x562e8ea5, 0x0d780f61), TOBN(0x0db8b22b, 0x1dc4e89c), + TOBN(0x0a6fd1fb, 0x89be0144), TOBN(0x8c77d246, 0xca57113b), + TOBN(0x4639075d, 0xff09c91c), TOBN(0x5b47b17f, 0x5060824c), + TOBN(0x58aea2b0, 0x16287b52), TOBN(0xa1343520, 0xd0cd8eb0), + TOBN(0x6148b4d0, 0xc5d58573), TOBN(0xdd2b6170, 0x291c68ae), + TOBN(0xa61b3929, 0x1da3b3b7), TOBN(0x5f946d79, 0x08c4ac10), + TOBN(0x4105d4a5, 0x7217d583), TOBN(0x5061da3d, 0x25e6de5e), + TOBN(0x3113940d, 0xec1b4991), TOBN(0xf12195e1, 0x36f485ae), + TOBN(0xa7507fb2, 0x731a2ee0), TOBN(0x95057a8e, 0x6e9e196e), + TOBN(0xa3c2c911, 0x2e130136), TOBN(0x97dfbb36, 0x33c60d15), + TOBN(0xcaf3c581, 0xb300ee2b), TOBN(0x77f25d90, 0xf4bac8b8), + TOBN(0xdb1c4f98, 0x6d840cd6), TOBN(0x471d62c0, 0xe634288c), + TOBN(0x8ec2f85e, 0xcec8a161), TOBN(0x41f37cbc, 0xfa6f4ae2), + TOBN(0x6793a20f, 0x4b709985), TOBN(0x7a7bd33b, 0xefa8985b), + TOBN(0x2c6a3fbd, 0x938e6446), TOBN(0x19042619, 0x2a8d47c1), + TOBN(0x16848667, 0xcc36975f), TOBN(0x02acf168, 0x9d5f1dfb), + TOBN(0x62d41ad4, 0x613baa94), TOBN(0xb56fbb92, 0x9f684670), + TOBN(0xce610d0d, 0xe9e40569), TOBN(0x7b99c65f, 0x35489fef), + TOBN(0x0c88ad1b, 0x3df18b97), TOBN(0x81b7d9be, 0x5d0e9edb), + TOBN(0xd85218c0, 0xc716cc0a), TOBN(0xf4b5ff90, 0x85691c49), + TOBN(0xa4fd666b, 0xce356ac6), TOBN(0x17c72895, 0x4b327a7a), + TOBN(0xf93d5085, 0xda6be7de), TOBN(0xff71530e, 0x3301d34e), + TOBN(0x4cd96442, 0xd8f448e8), TOBN(0x9283d331, 0x2ed18ffa), + TOBN(0x4d33dd99, 0x2a849870), TOBN(0xa716964b, 0x41576335), + TOBN(0xff5e3a9b, 0x179be0e5), TOBN(0x5b9d6b1b, 0x83b13632), + TOBN(0x3b8bd7d4, 0xa52f313b), TOBN(0xc9dd95a0, 0x637a4660), + TOBN(0x30035962, 0x0b3e218f), TOBN(0xce1481a3, 0xc7b28a3c), + TOBN(0xab41b43a, 0x43228d83), TOBN(0x24ae1c30, 0x4ad63f99), + TOBN(0x8e525f1a, 0x46a51229), TOBN(0x14af860f, 0xcd26d2b4), + TOBN(0xd6baef61, 0x3f714aa1), TOBN(0xf51865ad, 0xeb78795e), + TOBN(0xd3e21fce, 0xe6a9d694), TOBN(0x82ceb1dd, 0x8a37b527)} +}; -- 2.25.1