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#!/usr/bin/env perl
#
# ====================================================================
# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
# project. The module is, however, dual licensed under OpenSSL and
# CRYPTOGAMS licenses depending on where you obtain it. For further
# details see http://www.openssl.org/~appro/cryptogams/.
# ====================================================================
#
# This module implements Poly1305 hash for x86_64.
#
# March 2015
#
# Numbers are cycles per processed byte with poly1305_blocks alone,
# measured with rdtsc at fixed clock frequency.
#
# IALU/gcc-4.8(*) AVX(**) AVX2
# P4 4.46/+120% -
# Core 2 2.41/+90% -
# Westmere 1.88/+120% -
# Sandy Bridge 1.39/+140% 1.10
# Haswell 1.14/+175% 1.11 0.65
# Skylake 1.13/+120% 0.96 0.51
# Silvermont 2.83/+95% -
# VIA Nano 1.82/+150% -
# Sledgehammer 1.38/+160% -
# Bulldozer 2.30/+130% 0.97
#
# (*) improvement coefficients relative to clang are more modest and
# are ~50% on most processors, in both cases we are comparing to
# __int128 code;
# (**) SSE2 implementation was attempted, but among non-AVX processors
# it was faster than integer-only code only on older Intel P4 and
# Core processors, 50-30%, less newer processor is, but slower on
# contemporary ones, for example almost 2x slower on Atom, and as
# former are naturally disappearing, SSE2 is deemed unnecessary;
$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";
$avx = 2;
open OUT,"| \"$^X\" \"$xlate\" $flavour \"$output\"";
*STDOUT=*OUT;
my ($ctx,$inp,$len,$padbit)=("%rdi","%rsi","%rdx","%rcx");
my ($mac,$nonce)=($inp,$len); # *_emit arguments
my ($d1,$d2,$d3, $r0,$r1,$s1)=map("%r$_",(8..13));
my ($h0,$h1,$h2)=("%r14","%rbx","%rbp");
sub poly1305_iteration {
# input: copy of $r1 in %rax, $h0-$h2, $r0-$r1
# output: $h0-$h2 *= $r0-$r1
$code.=<<___;
mulq $h0 # h0*r1
mov %rax,$d2
mov $r0,%rax
mov %rdx,$d3
mulq $h0 # h0*r0
mov %rax,$h0 # future $h0
mov $r0,%rax
mov %rdx,$d1
mulq $h1 # h1*r0
add %rax,$d2
mov $s1,%rax
adc %rdx,$d3
mulq $h1 # h1*s1
mov $h2,$h1 # borrow $h1
add %rax,$h0
adc %rdx,$d1
imulq $s1,$h1 # h2*s1
add $h1,$d2
mov $d1,$h1
adc \$0,$d3
imulq $r0,$h2 # h2*r0
add $d2,$h1
mov \$-4,%rax # mask value
adc $h2,$d3
and $d3,%rax # last reduction step
mov $d3,$h2
shr \$2,$d3
and \$3,$h2
add $d3,%rax
add %rax,$h0
adc \$0,$h1
adc \$0,$h2
___
}
########################################################################
# Layout of opaque area is following.
#
# unsigned __int64 h[3]; # current hash value base 2^64
# unsigned __int64 r[2]; # key value base 2^64
$code.=<<___;
.text
.extern GFp_ia32cap_P
.globl GFp_poly1305_init_asm
.hidden GFp_poly1305_init_asm
.globl GFp_poly1305_blocks
.hidden GFp_poly1305_blocks
.globl GFp_poly1305_emit
.hidden GFp_poly1305_emit
.type GFp_poly1305_init_asm,\@function,3
.align 32
GFp_poly1305_init_asm:
xor %rax,%rax
mov %rax,0($ctx) # initialize hash value
mov %rax,8($ctx)
mov %rax,16($ctx)
cmp \$0,$inp
je .Lno_key
lea GFp_poly1305_blocks(%rip),%r10
lea GFp_poly1305_emit(%rip),%r11
___
$code.=<<___ if ($avx);
mov GFp_ia32cap_P+4(%rip),%r9
lea poly1305_blocks_avx(%rip),%rax
lea poly1305_emit_avx(%rip),%rcx
bt \$`60-32`,%r9 # AVX?
cmovc %rax,%r10
cmovc %rcx,%r11
___
$code.=<<___ if ($avx>1);
lea poly1305_blocks_avx2(%rip),%rax
bt \$`5+32`,%r9 # AVX2?
cmovc %rax,%r10
___
$code.=<<___;
mov \$0x0ffffffc0fffffff,%rax
mov \$0x0ffffffc0ffffffc,%rcx
and 0($inp),%rax
and 8($inp),%rcx
mov %rax,24($ctx)
mov %rcx,32($ctx)
___
$code.=<<___ if ($flavour !~ /elf32/);
mov %r10,0(%rdx)
mov %r11,8(%rdx)
___
$code.=<<___ if ($flavour =~ /elf32/);
mov %r10d,0(%rdx)
mov %r11d,4(%rdx)
___
$code.=<<___;
mov \$1,%eax
.Lno_key:
ret
.size GFp_poly1305_init_asm,.-GFp_poly1305_init_asm
.type GFp_poly1305_blocks,\@function,4
.align 32
GFp_poly1305_blocks:
.Lblocks:
shr \$4,$len
jz .Lno_data # too short
push %rbx
push %rbp
push %r12
push %r13
push %r14
push %r15
.Lblocks_body:
mov $len,%r15 # reassign $len
mov 24($ctx),$r0 # load r
mov 32($ctx),$s1
mov 0($ctx),$h0 # load hash value
mov 8($ctx),$h1
mov 16($ctx),$h2
mov $s1,$r1
shr \$2,$s1
mov $r1,%rax
add $r1,$s1 # s1 = r1 + (r1 >> 2)
jmp .Loop
.align 32
.Loop:
add 0($inp),$h0 # accumulate input
adc 8($inp),$h1
lea 16($inp),$inp
adc $padbit,$h2
___
&poly1305_iteration();
$code.=<<___;
mov $r1,%rax
dec %r15 # len-=16
jnz .Loop
mov $h0,0($ctx) # store hash value
mov $h1,8($ctx)
mov $h2,16($ctx)
mov 0(%rsp),%r15
mov 8(%rsp),%r14
mov 16(%rsp),%r13
mov 24(%rsp),%r12
mov 32(%rsp),%rbp
mov 40(%rsp),%rbx
lea 48(%rsp),%rsp
.Lno_data:
.Lblocks_epilogue:
ret
.size GFp_poly1305_blocks,.-GFp_poly1305_blocks
.type GFp_poly1305_emit,\@function,3
.align 32
GFp_poly1305_emit:
.Lemit:
mov 0($ctx),%r8 # load hash value
mov 8($ctx),%r9
mov 16($ctx),%r10
mov %r8,%rax
add \$5,%r8 # compare to modulus
mov %r9,%rcx
adc \$0,%r9
adc \$0,%r10
shr \$2,%r10 # did 130-bit value overfow?
cmovnz %r8,%rax
cmovnz %r9,%rcx
add 0($nonce),%rax # accumulate nonce
adc 8($nonce),%rcx
mov %rax,0($mac) # write result
mov %rcx,8($mac)
ret
.size GFp_poly1305_emit,.-GFp_poly1305_emit
___
if ($avx) {
########################################################################
# Layout of opaque area is following.
#
# unsigned __int32 h[5]; # current hash value base 2^26
# unsigned __int32 is_base2_26;
# unsigned __int64 r[2]; # key value base 2^64
# unsigned __int64 pad;
# struct { unsigned __int32 r^2, r^1, r^4, r^3; } r[9];
#
# where r^n are base 2^26 digits of degrees of multiplier key. There are
# 5 digits, but last four are interleaved with multiples of 5, totalling
# in 9 elements: r0, r1, 5*r1, r2, 5*r2, r3, 5*r3, r4, 5*r4.
my ($H0,$H1,$H2,$H3,$H4, $T0,$T1,$T2,$T3,$T4, $D0,$D1,$D2,$D3,$D4, $MASK) =
map("%xmm$_",(0..15));
$code.=<<___;
.type __poly1305_block,\@abi-omnipotent
.align 32
__poly1305_block:
___
&poly1305_iteration();
$code.=<<___;
ret
.size __poly1305_block,.-__poly1305_block
.type __poly1305_init_avx,\@abi-omnipotent
.align 32
__poly1305_init_avx:
mov $r0,$h0
mov $r1,$h1
xor $h2,$h2
lea 48+64($ctx),$ctx # size optimization
mov $r1,%rax
call __poly1305_block # r^2
mov \$0x3ffffff,%eax # save interleaved r^2 and r base 2^26
mov \$0x3ffffff,%edx
mov $h0,$d1
and $h0#d,%eax
mov $r0,$d2
and $r0#d,%edx
mov %eax,`16*0+0-64`($ctx)
shr \$26,$d1
mov %edx,`16*0+4-64`($ctx)
shr \$26,$d2
mov \$0x3ffffff,%eax
mov \$0x3ffffff,%edx
and $d1#d,%eax
and $d2#d,%edx
mov %eax,`16*1+0-64`($ctx)
lea (%rax,%rax,4),%eax # *5
mov %edx,`16*1+4-64`($ctx)
lea (%rdx,%rdx,4),%edx # *5
mov %eax,`16*2+0-64`($ctx)
shr \$26,$d1
mov %edx,`16*2+4-64`($ctx)
shr \$26,$d2
mov $h1,%rax
mov $r1,%rdx
shl \$12,%rax
shl \$12,%rdx
or $d1,%rax
or $d2,%rdx
and \$0x3ffffff,%eax
and \$0x3ffffff,%edx
mov %eax,`16*3+0-64`($ctx)
lea (%rax,%rax,4),%eax # *5
mov %edx,`16*3+4-64`($ctx)
lea (%rdx,%rdx,4),%edx # *5
mov %eax,`16*4+0-64`($ctx)
mov $h1,$d1
mov %edx,`16*4+4-64`($ctx)
mov $r1,$d2
mov \$0x3ffffff,%eax
mov \$0x3ffffff,%edx
shr \$14,$d1
shr \$14,$d2
and $d1#d,%eax
and $d2#d,%edx
mov %eax,`16*5+0-64`($ctx)
lea (%rax,%rax,4),%eax # *5
mov %edx,`16*5+4-64`($ctx)
lea (%rdx,%rdx,4),%edx # *5
mov %eax,`16*6+0-64`($ctx)
shr \$26,$d1
mov %edx,`16*6+4-64`($ctx)
shr \$26,$d2
mov $h2,%rax
shl \$24,%rax
or %rax,$d1
mov $d1#d,`16*7+0-64`($ctx)
lea ($d1,$d1,4),$d1 # *5
mov $d2#d,`16*7+4-64`($ctx)
lea ($d2,$d2,4),$d2 # *5
mov $d1#d,`16*8+0-64`($ctx)
mov $d2#d,`16*8+4-64`($ctx)
mov $r1,%rax
call __poly1305_block # r^3
mov \$0x3ffffff,%eax # save r^3 base 2^26
mov $h0,$d1
and $h0#d,%eax
shr \$26,$d1
mov %eax,`16*0+12-64`($ctx)
mov \$0x3ffffff,%edx
and $d1#d,%edx
mov %edx,`16*1+12-64`($ctx)
lea (%rdx,%rdx,4),%edx # *5
shr \$26,$d1
mov %edx,`16*2+12-64`($ctx)
mov $h1,%rax
shl \$12,%rax
or $d1,%rax
and \$0x3ffffff,%eax
mov %eax,`16*3+12-64`($ctx)
lea (%rax,%rax,4),%eax # *5
mov $h1,$d1
mov %eax,`16*4+12-64`($ctx)
mov \$0x3ffffff,%edx
shr \$14,$d1
and $d1#d,%edx
mov %edx,`16*5+12-64`($ctx)
lea (%rdx,%rdx,4),%edx # *5
shr \$26,$d1
mov %edx,`16*6+12-64`($ctx)
mov $h2,%rax
shl \$24,%rax
or %rax,$d1
mov $d1#d,`16*7+12-64`($ctx)
lea ($d1,$d1,4),$d1 # *5
mov $d1#d,`16*8+12-64`($ctx)
mov $r1,%rax
call __poly1305_block # r^4
mov \$0x3ffffff,%eax # save r^4 base 2^26
mov $h0,$d1
and $h0#d,%eax
shr \$26,$d1
mov %eax,`16*0+8-64`($ctx)
mov \$0x3ffffff,%edx
and $d1#d,%edx
mov %edx,`16*1+8-64`($ctx)
lea (%rdx,%rdx,4),%edx # *5
shr \$26,$d1
mov %edx,`16*2+8-64`($ctx)
mov $h1,%rax
shl \$12,%rax
or $d1,%rax
and \$0x3ffffff,%eax
mov %eax,`16*3+8-64`($ctx)
lea (%rax,%rax,4),%eax # *5
mov $h1,$d1
mov %eax,`16*4+8-64`($ctx)
mov \$0x3ffffff,%edx
shr \$14,$d1
and $d1#d,%edx
mov %edx,`16*5+8-64`($ctx)
lea (%rdx,%rdx,4),%edx # *5
shr \$26,$d1
mov %edx,`16*6+8-64`($ctx)
mov $h2,%rax
shl \$24,%rax
or %rax,$d1
mov $d1#d,`16*7+8-64`($ctx)
lea ($d1,$d1,4),$d1 # *5
mov $d1#d,`16*8+8-64`($ctx)
lea -48-64($ctx),$ctx # size [de-]optimization
ret
.size __poly1305_init_avx,.-__poly1305_init_avx
.type poly1305_blocks_avx,\@function,4
.align 32
poly1305_blocks_avx:
mov 20($ctx),%r8d # is_base2_26
cmp \$128,$len
jae .Lblocks_avx
test %r8d,%r8d
jz .Lblocks
.Lblocks_avx:
and \$-16,$len
jz .Lno_data_avx
vzeroupper
test %r8d,%r8d
jz .Lbase2_64_avx
test \$31,$len
jz .Leven_avx
push %rbx
push %rbp
push %r12
push %r13
push %r14
push %r15
.Lblocks_avx_body:
mov $len,%r15 # reassign $len
mov 0($ctx),$d1 # load hash value
mov 8($ctx),$d2
mov 16($ctx),$h2#d
mov 24($ctx),$r0 # load r
mov 32($ctx),$s1
################################# base 2^26 -> base 2^64
mov $d1#d,$h0#d
and \$`-1*(1<<31)`,$d1
mov $d2,$r1 # borrow $r1
mov $d2#d,$h1#d
and \$`-1*(1<<31)`,$d2
shr \$6,$d1
shl \$52,$r1
add $d1,$h0
shr \$12,$h1
shr \$18,$d2
add $r1,$h0
adc $d2,$h1
mov $h2,$d1
shl \$40,$d1
shr \$24,$h2
add $d1,$h1
adc \$0,$h2 # can be partially reduced...
mov \$-4,$d2 # ... so reduce
mov $h2,$d1
and $h2,$d2
shr \$2,$d1
and \$3,$h2
add $d2,$d1 # =*5
add $d1,$h0
adc \$0,$h1
adc \$0,$h2
mov $s1,$r1
mov $s1,%rax
shr \$2,$s1
add $r1,$s1 # s1 = r1 + (r1 >> 2)
add 0($inp),$h0 # accumulate input
adc 8($inp),$h1
lea 16($inp),$inp
adc $padbit,$h2
call __poly1305_block
test $padbit,$padbit # if $padbit is zero,
jz .Lstore_base2_64_avx # store hash in base 2^64 format
################################# base 2^64 -> base 2^26
mov $h0,%rax
mov $h0,%rdx
shr \$52,$h0
mov $h1,$r0
mov $h1,$r1
shr \$26,%rdx
and \$0x3ffffff,%rax # h[0]
shl \$12,$r0
and \$0x3ffffff,%rdx # h[1]
shr \$14,$h1
or $r0,$h0
shl \$24,$h2
and \$0x3ffffff,$h0 # h[2]
shr \$40,$r1
and \$0x3ffffff,$h1 # h[3]
or $r1,$h2 # h[4]
sub \$16,%r15
jz .Lstore_base2_26_avx
vmovd %rax#d,$H0
vmovd %rdx#d,$H1
vmovd $h0#d,$H2
vmovd $h1#d,$H3
vmovd $h2#d,$H4
jmp .Lproceed_avx
.align 32
.Lstore_base2_64_avx:
mov $h0,0($ctx)
mov $h1,8($ctx)
mov $h2,16($ctx) # note that is_base2_26 is zeroed
jmp .Ldone_avx
.align 16
.Lstore_base2_26_avx:
mov %rax#d,0($ctx) # store hash value base 2^26
mov %rdx#d,4($ctx)
mov $h0#d,8($ctx)
mov $h1#d,12($ctx)
mov $h2#d,16($ctx)
.align 16
.Ldone_avx:
mov 0(%rsp),%r15
mov 8(%rsp),%r14
mov 16(%rsp),%r13
mov 24(%rsp),%r12
mov 32(%rsp),%rbp
mov 40(%rsp),%rbx
lea 48(%rsp),%rsp
.Lno_data_avx:
.Lblocks_avx_epilogue:
ret
.align 32
.Lbase2_64_avx:
push %rbx
push %rbp
push %r12
push %r13
push %r14
push %r15
.Lbase2_64_avx_body:
mov $len,%r15 # reassign $len
mov 24($ctx),$r0 # load r
mov 32($ctx),$s1
mov 0($ctx),$h0 # load hash value
mov 8($ctx),$h1
mov 16($ctx),$h2#d
mov $s1,$r1
mov $s1,%rax
shr \$2,$s1
add $r1,$s1 # s1 = r1 + (r1 >> 2)
test \$31,$len
jz .Linit_avx
add 0($inp),$h0 # accumulate input
adc 8($inp),$h1
lea 16($inp),$inp
adc $padbit,$h2
sub \$16,%r15
call __poly1305_block
.Linit_avx:
################################# base 2^64 -> base 2^26
mov $h0,%rax
mov $h0,%rdx
shr \$52,$h0
mov $h1,$d1
mov $h1,$d2
shr \$26,%rdx
and \$0x3ffffff,%rax # h[0]
shl \$12,$d1
and \$0x3ffffff,%rdx # h[1]
shr \$14,$h1
or $d1,$h0
shl \$24,$h2
and \$0x3ffffff,$h0 # h[2]
shr \$40,$d2
and \$0x3ffffff,$h1 # h[3]
or $d2,$h2 # h[4]
vmovd %rax#d,$H0
vmovd %rdx#d,$H1
vmovd $h0#d,$H2
vmovd $h1#d,$H3
vmovd $h2#d,$H4
movl \$1,20($ctx) # set is_base2_26
call __poly1305_init_avx
.Lproceed_avx:
mov %r15,$len
mov 0(%rsp),%r15
mov 8(%rsp),%r14
mov 16(%rsp),%r13
mov 24(%rsp),%r12
mov 32(%rsp),%rbp
mov 40(%rsp),%rbx
lea 48(%rsp),%rax
lea 48(%rsp),%rsp
.Lbase2_64_avx_epilogue:
jmp .Ldo_avx
.align 32
.Leven_avx:
vmovd 4*0($ctx),$H0 # load hash value
vmovd 4*1($ctx),$H1
vmovd 4*2($ctx),$H2
vmovd 4*3($ctx),$H3
vmovd 4*4($ctx),$H4
.Ldo_avx:
___
$code.=<<___ if (!$win64);
lea -0x58(%rsp),%r11
sub \$0x178,%rsp
___
$code.=<<___ if ($win64);
lea -0xf8(%rsp),%r11
sub \$0x218,%rsp
vmovdqa %xmm6,0x50(%r11)
vmovdqa %xmm7,0x60(%r11)
vmovdqa %xmm8,0x70(%r11)
vmovdqa %xmm9,0x80(%r11)
vmovdqa %xmm10,0x90(%r11)
vmovdqa %xmm11,0xa0(%r11)
vmovdqa %xmm12,0xb0(%r11)
vmovdqa %xmm13,0xc0(%r11)
vmovdqa %xmm14,0xd0(%r11)
vmovdqa %xmm15,0xe0(%r11)
.Ldo_avx_body:
___
$code.=<<___;
sub \$64,$len
lea -32($inp),%rax
cmovc %rax,$inp
vmovdqu `16*3`($ctx),$D4 # preload r0^2
lea `16*3+64`($ctx),$ctx # size optimization
lea .Lconst(%rip),%rcx
################################################################
# load input
vmovdqu 16*2($inp),$T0
vmovdqu 16*3($inp),$T1
vmovdqa 64(%rcx),$MASK # .Lmask26
vpsrldq \$6,$T0,$T2 # splat input
vpsrldq \$6,$T1,$T3
vpunpckhqdq $T1,$T0,$T4 # 4
vpunpcklqdq $T1,$T0,$T0 # 0:1
vpunpcklqdq $T3,$T2,$T3 # 2:3
vpsrlq \$40,$T4,$T4 # 4
vpsrlq \$26,$T0,$T1
vpand $MASK,$T0,$T0 # 0
vpsrlq \$4,$T3,$T2
vpand $MASK,$T1,$T1 # 1
vpsrlq \$30,$T3,$T3
vpand $MASK,$T2,$T2 # 2
vpand $MASK,$T3,$T3 # 3
vpor 32(%rcx),$T4,$T4 # padbit, yes, always
jbe .Lskip_loop_avx
# expand and copy pre-calculated table to stack
vmovdqu `16*1-64`($ctx),$D1
vmovdqu `16*2-64`($ctx),$D2
vpshufd \$0xEE,$D4,$D3 # 34xx -> 3434
vpshufd \$0x44,$D4,$D0 # xx12 -> 1212
vmovdqa $D3,-0x90(%r11)
vmovdqa $D0,0x00(%rsp)
vpshufd \$0xEE,$D1,$D4
vmovdqu `16*3-64`($ctx),$D0
vpshufd \$0x44,$D1,$D1
vmovdqa $D4,-0x80(%r11)
vmovdqa $D1,0x10(%rsp)
vpshufd \$0xEE,$D2,$D3
vmovdqu `16*4-64`($ctx),$D1
vpshufd \$0x44,$D2,$D2
vmovdqa $D3,-0x70(%r11)
vmovdqa $D2,0x20(%rsp)
vpshufd \$0xEE,$D0,$D4
vmovdqu `16*5-64`($ctx),$D2
vpshufd \$0x44,$D0,$D0
vmovdqa $D4,-0x60(%r11)
vmovdqa $D0,0x30(%rsp)
vpshufd \$0xEE,$D1,$D3
vmovdqu `16*6-64`($ctx),$D0
vpshufd \$0x44,$D1,$D1
vmovdqa $D3,-0x50(%r11)
vmovdqa $D1,0x40(%rsp)
vpshufd \$0xEE,$D2,$D4
vmovdqu `16*7-64`($ctx),$D1
vpshufd \$0x44,$D2,$D2
vmovdqa $D4,-0x40(%r11)
vmovdqa $D2,0x50(%rsp)
vpshufd \$0xEE,$D0,$D3
vmovdqu `16*8-64`($ctx),$D2
vpshufd \$0x44,$D0,$D0
vmovdqa $D3,-0x30(%r11)
vmovdqa $D0,0x60(%rsp)
vpshufd \$0xEE,$D1,$D4
vpshufd \$0x44,$D1,$D1
vmovdqa $D4,-0x20(%r11)
vmovdqa $D1,0x70(%rsp)
vpshufd \$0xEE,$D2,$D3
vmovdqa 0x00(%rsp),$D4 # preload r0^2
vpshufd \$0x44,$D2,$D2
vmovdqa $D3,-0x10(%r11)
vmovdqa $D2,0x80(%rsp)
jmp .Loop_avx
.align 32
.Loop_avx:
################################################################
# ((inp[0]*r^4+inp[2]*r^2+inp[4])*r^4+inp[6]*r^2
# ((inp[1]*r^4+inp[3]*r^2+inp[5])*r^3+inp[7]*r
# \___________________/
# ((inp[0]*r^4+inp[2]*r^2+inp[4])*r^4+inp[6]*r^2+inp[8])*r^2
# ((inp[1]*r^4+inp[3]*r^2+inp[5])*r^4+inp[7]*r^2+inp[9])*r
# \___________________/ \____________________/
#
# Note that we start with inp[2:3]*r^2. This is because it
# doesn't depend on reduction in previous iteration.
################################################################
# d4 = h4*r0 + h3*r1 + h2*r2 + h1*r3 + h0*r4
# d3 = h3*r0 + h2*r1 + h1*r2 + h0*r3 + h4*5*r4
# d2 = h2*r0 + h1*r1 + h0*r2 + h4*5*r3 + h3*5*r4
# d1 = h1*r0 + h0*r1 + h4*5*r2 + h3*5*r3 + h2*5*r4
# d0 = h0*r0 + h4*5*r1 + h3*5*r2 + h2*5*r3 + h1*5*r4
#
# though note that $Tx and $Hx are "reversed" in this section,
# and $D4 is preloaded with r0^2...
vpmuludq $T0,$D4,$D0 # d0 = h0*r0
vpmuludq $T1,$D4,$D1 # d1 = h1*r0
vmovdqa $H2,0x20(%r11) # offload hash
vpmuludq $T2,$D4,$D2 # d3 = h2*r0
vmovdqa 0x10(%rsp),$H2 # r1^2
vpmuludq $T3,$D4,$D3 # d3 = h3*r0
vpmuludq $T4,$D4,$D4 # d4 = h4*r0
vmovdqa $H0,0x00(%r11) #
vpmuludq 0x20(%rsp),$T4,$H0 # h4*s1
vmovdqa $H1,0x10(%r11) #
vpmuludq $T3,$H2,$H1 # h3*r1
vpaddq $H0,$D0,$D0 # d0 += h4*s1
vpaddq $H1,$D4,$D4 # d4 += h3*r1
vmovdqa $H3,0x30(%r11) #
vpmuludq $T2,$H2,$H0 # h2*r1
vpmuludq $T1,$H2,$H1 # h1*r1
vpaddq $H0,$D3,$D3 # d3 += h2*r1
vmovdqa 0x30(%rsp),$H3 # r2^2
vpaddq $H1,$D2,$D2 # d2 += h1*r1
vmovdqa $H4,0x40(%r11) #
vpmuludq $T0,$H2,$H2 # h0*r1
vpmuludq $T2,$H3,$H0 # h2*r2
vpaddq $H2,$D1,$D1 # d1 += h0*r1
vmovdqa 0x40(%rsp),$H4 # s2^2
vpaddq $H0,$D4,$D4 # d4 += h2*r2
vpmuludq $T1,$H3,$H1 # h1*r2
vpmuludq $T0,$H3,$H3 # h0*r2
vpaddq $H1,$D3,$D3 # d3 += h1*r2
vmovdqa 0x50(%rsp),$H2 # r3^2
vpaddq $H3,$D2,$D2 # d2 += h0*r2
vpmuludq $T4,$H4,$H0 # h4*s2
vpmuludq $T3,$H4,$H4 # h3*s2
vpaddq $H0,$D1,$D1 # d1 += h4*s2
vmovdqa 0x60(%rsp),$H3 # s3^2
vpaddq $H4,$D0,$D0 # d0 += h3*s2
vmovdqa 0x80(%rsp),$H4 # s4^2
vpmuludq $T1,$H2,$H1 # h1*r3
vpmuludq $T0,$H2,$H2 # h0*r3
vpaddq $H1,$D4,$D4 # d4 += h1*r3
vpaddq $H2,$D3,$D3 # d3 += h0*r3
vpmuludq $T4,$H3,$H0 # h4*s3
vpmuludq $T3,$H3,$H1 # h3*s3
vpaddq $H0,$D2,$D2 # d2 += h4*s3
vmovdqu 16*0($inp),$H0 # load input
vpaddq $H1,$D1,$D1 # d1 += h3*s3
vpmuludq $T2,$H3,$H3 # h2*s3
vpmuludq $T2,$H4,$T2 # h2*s4
vpaddq $H3,$D0,$D0 # d0 += h2*s3
vmovdqu 16*1($inp),$H1 #
vpaddq $T2,$D1,$D1 # d1 += h2*s4
vpmuludq $T3,$H4,$T3 # h3*s4
vpmuludq $T4,$H4,$T4 # h4*s4
vpsrldq \$6,$H0,$H2 # splat input
vpaddq $T3,$D2,$D2 # d2 += h3*s4
vpaddq $T4,$D3,$D3 # d3 += h4*s4
vpsrldq \$6,$H1,$H3 #
vpmuludq 0x70(%rsp),$T0,$T4 # h0*r4
vpmuludq $T1,$H4,$T0 # h1*s4
vpunpckhqdq $H1,$H0,$H4 # 4
vpaddq $T4,$D4,$D4 # d4 += h0*r4
vmovdqa -0x90(%r11),$T4 # r0^4
vpaddq $T0,$D0,$D0 # d0 += h1*s4
vpunpcklqdq $H1,$H0,$H0 # 0:1
vpunpcklqdq $H3,$H2,$H3 # 2:3
#vpsrlq \$40,$H4,$H4 # 4
vpsrldq \$`40/8`,$H4,$H4 # 4
vpsrlq \$26,$H0,$H1
vpand $MASK,$H0,$H0 # 0
vpsrlq \$4,$H3,$H2
vpand $MASK,$H1,$H1 # 1
vpand 0(%rcx),$H4,$H4 # .Lmask24
vpsrlq \$30,$H3,$H3
vpand $MASK,$H2,$H2 # 2
vpand $MASK,$H3,$H3 # 3
vpor 32(%rcx),$H4,$H4 # padbit, yes, always
vpaddq 0x00(%r11),$H0,$H0 # add hash value
vpaddq 0x10(%r11),$H1,$H1
vpaddq 0x20(%r11),$H2,$H2
vpaddq 0x30(%r11),$H3,$H3
vpaddq 0x40(%r11),$H4,$H4
lea 16*2($inp),%rax
lea 16*4($inp),$inp
sub \$64,$len
cmovc %rax,$inp
################################################################
# Now we accumulate (inp[0:1]+hash)*r^4
################################################################
# d4 = h4*r0 + h3*r1 + h2*r2 + h1*r3 + h0*r4
# d3 = h3*r0 + h2*r1 + h1*r2 + h0*r3 + h4*5*r4
# d2 = h2*r0 + h1*r1 + h0*r2 + h4*5*r3 + h3*5*r4
# d1 = h1*r0 + h0*r1 + h4*5*r2 + h3*5*r3 + h2*5*r4
# d0 = h0*r0 + h4*5*r1 + h3*5*r2 + h2*5*r3 + h1*5*r4
vpmuludq $H0,$T4,$T0 # h0*r0
vpmuludq $H1,$T4,$T1 # h1*r0
vpaddq $T0,$D0,$D0
vpaddq $T1,$D1,$D1
vmovdqa -0x80(%r11),$T2 # r1^4
vpmuludq $H2,$T4,$T0 # h2*r0
vpmuludq $H3,$T4,$T1 # h3*r0
vpaddq $T0,$D2,$D2
vpaddq $T1,$D3,$D3
vpmuludq $H4,$T4,$T4 # h4*r0
vpmuludq -0x70(%r11),$H4,$T0 # h4*s1
vpaddq $T4,$D4,$D4
vpaddq $T0,$D0,$D0 # d0 += h4*s1
vpmuludq $H2,$T2,$T1 # h2*r1
vpmuludq $H3,$T2,$T0 # h3*r1
vpaddq $T1,$D3,$D3 # d3 += h2*r1
vmovdqa -0x60(%r11),$T3 # r2^4
vpaddq $T0,$D4,$D4 # d4 += h3*r1
vpmuludq $H1,$T2,$T1 # h1*r1
vpmuludq $H0,$T2,$T2 # h0*r1
vpaddq $T1,$D2,$D2 # d2 += h1*r1
vpaddq $T2,$D1,$D1 # d1 += h0*r1
vmovdqa -0x50(%r11),$T4 # s2^4
vpmuludq $H2,$T3,$T0 # h2*r2
vpmuludq $H1,$T3,$T1 # h1*r2
vpaddq $T0,$D4,$D4 # d4 += h2*r2
vpaddq $T1,$D3,$D3 # d3 += h1*r2
vmovdqa -0x40(%r11),$T2 # r3^4
vpmuludq $H0,$T3,$T3 # h0*r2
vpmuludq $H4,$T4,$T0 # h4*s2
vpaddq $T3,$D2,$D2 # d2 += h0*r2
vpaddq $T0,$D1,$D1 # d1 += h4*s2
vmovdqa -0x30(%r11),$T3 # s3^4
vpmuludq $H3,$T4,$T4 # h3*s2
vpmuludq $H1,$T2,$T1 # h1*r3
vpaddq $T4,$D0,$D0 # d0 += h3*s2
vmovdqa -0x10(%r11),$T4 # s4^4
vpaddq $T1,$D4,$D4 # d4 += h1*r3
vpmuludq $H0,$T2,$T2 # h0*r3
vpmuludq $H4,$T3,$T0 # h4*s3
vpaddq $T2,$D3,$D3 # d3 += h0*r3
vpaddq $T0,$D2,$D2 # d2 += h4*s3
vmovdqu 16*2($inp),$T0 # load input
vpmuludq $H3,$T3,$T2 # h3*s3
vpmuludq $H2,$T3,$T3 # h2*s3
vpaddq $T2,$D1,$D1 # d1 += h3*s3
vmovdqu 16*3($inp),$T1 #
vpaddq $T3,$D0,$D0 # d0 += h2*s3
vpmuludq $H2,$T4,$H2 # h2*s4
vpmuludq $H3,$T4,$H3 # h3*s4
vpsrldq \$6,$T0,$T2 # splat input
vpaddq $H2,$D1,$D1 # d1 += h2*s4
vpmuludq $H4,$T4,$H4 # h4*s4
vpsrldq \$6,$T1,$T3 #
vpaddq $H3,$D2,$H2 # h2 = d2 + h3*s4
vpaddq $H4,$D3,$H3 # h3 = d3 + h4*s4
vpmuludq -0x20(%r11),$H0,$H4 # h0*r4
vpmuludq $H1,$T4,$H0
vpunpckhqdq $T1,$T0,$T4 # 4
vpaddq $H4,$D4,$H4 # h4 = d4 + h0*r4
vpaddq $H0,$D0,$H0 # h0 = d0 + h1*s4
vpunpcklqdq $T1,$T0,$T0 # 0:1
vpunpcklqdq $T3,$T2,$T3 # 2:3
#vpsrlq \$40,$T4,$T4 # 4
vpsrldq \$`40/8`,$T4,$T4 # 4
vpsrlq \$26,$T0,$T1
vmovdqa 0x00(%rsp),$D4 # preload r0^2
vpand $MASK,$T0,$T0 # 0
vpsrlq \$4,$T3,$T2
vpand $MASK,$T1,$T1 # 1
vpand 0(%rcx),$T4,$T4 # .Lmask24
vpsrlq \$30,$T3,$T3
vpand $MASK,$T2,$T2 # 2
vpand $MASK,$T3,$T3 # 3
vpor 32(%rcx),$T4,$T4 # padbit, yes, always
################################################################
# lazy reduction as discussed in "NEON crypto" by D.J. Bernstein
# and P. Schwabe
vpsrlq \$26,$H3,$D3
vpand $MASK,$H3,$H3
vpaddq $D3,$H4,$H4 # h3 -> h4
vpsrlq \$26,$H0,$D0
vpand $MASK,$H0,$H0
vpaddq $D0,$D1,$H1 # h0 -> h1
vpsrlq \$26,$H4,$D0
vpand $MASK,$H4,$H4
vpsrlq \$26,$H1,$D1
vpand $MASK,$H1,$H1
vpaddq $D1,$H2,$H2 # h1 -> h2
vpaddq $D0,$H0,$H0
vpsllq \$2,$D0,$D0
vpaddq $D0,$H0,$H0 # h4 -> h0
vpsrlq \$26,$H2,$D2
vpand $MASK,$H2,$H2
vpaddq $D2,$H3,$H3 # h2 -> h3
vpsrlq \$26,$H0,$D0
vpand $MASK,$H0,$H0
vpaddq $D0,$H1,$H1 # h0 -> h1
vpsrlq \$26,$H3,$D3
vpand $MASK,$H3,$H3
vpaddq $D3,$H4,$H4 # h3 -> h4
ja .Loop_avx
.Lskip_loop_avx:
################################################################
# multiply (inp[0:1]+hash) or inp[2:3] by r^2:r^1
vpshufd \$0x10,$D4,$D4 # r0^n, xx12 -> x1x2
add \$32,$len
jnz .Long_tail_avx
vpaddq $H2,$T2,$T2
vpaddq $H0,$T0,$T0
vpaddq $H1,$T1,$T1
vpaddq $H3,$T3,$T3
vpaddq $H4,$T4,$T4
.Long_tail_avx:
vmovdqa $H2,0x20(%r11)
vmovdqa $H0,0x00(%r11)
vmovdqa $H1,0x10(%r11)
vmovdqa $H3,0x30(%r11)
vmovdqa $H4,0x40(%r11)
# d4 = h4*r0 + h3*r1 + h2*r2 + h1*r3 + h0*r4
# d3 = h3*r0 + h2*r1 + h1*r2 + h0*r3 + h4*5*r4
# d2 = h2*r0 + h1*r1 + h0*r2 + h4*5*r3 + h3*5*r4
# d1 = h1*r0 + h0*r1 + h4*5*r2 + h3*5*r3 + h2*5*r4
# d0 = h0*r0 + h4*5*r1 + h3*5*r2 + h2*5*r3 + h1*5*r4
vpmuludq $T2,$D4,$D2 # d2 = h2*r0
vpmuludq $T0,$D4,$D0 # d0 = h0*r0
vpshufd \$0x10,`16*1-64`($ctx),$H2 # r1^n
vpmuludq $T1,$D4,$D1 # d1 = h1*r0
vpmuludq $T3,$D4,$D3 # d3 = h3*r0
vpmuludq $T4,$D4,$D4 # d4 = h4*r0
vpmuludq $T3,$H2,$H0 # h3*r1
vpaddq $H0,$D4,$D4 # d4 += h3*r1
vpshufd \$0x10,`16*2-64`($ctx),$H3 # s1^n
vpmuludq $T2,$H2,$H1 # h2*r1
vpaddq $H1,$D3,$D3 # d3 += h2*r1
vpshufd \$0x10,`16*3-64`($ctx),$H4 # r2^n
vpmuludq $T1,$H2,$H0 # h1*r1
vpaddq $H0,$D2,$D2 # d2 += h1*r1
vpmuludq $T0,$H2,$H2 # h0*r1
vpaddq $H2,$D1,$D1 # d1 += h0*r1
vpmuludq $T4,$H3,$H3 # h4*s1
vpaddq $H3,$D0,$D0 # d0 += h4*s1
vpshufd \$0x10,`16*4-64`($ctx),$H2 # s2^n
vpmuludq $T2,$H4,$H1 # h2*r2
vpaddq $H1,$D4,$D4 # d4 += h2*r2
vpmuludq $T1,$H4,$H0 # h1*r2
vpaddq $H0,$D3,$D3 # d3 += h1*r2
vpshufd \$0x10,`16*5-64`($ctx),$H3 # r3^n
vpmuludq $T0,$H4,$H4 # h0*r2
vpaddq $H4,$D2,$D2 # d2 += h0*r2
vpmuludq $T4,$H2,$H1 # h4*s2
vpaddq $H1,$D1,$D1 # d1 += h4*s2
vpshufd \$0x10,`16*6-64`($ctx),$H4 # s3^n
vpmuludq $T3,$H2,$H2 # h3*s2
vpaddq $H2,$D0,$D0 # d0 += h3*s2
vpmuludq $T1,$H3,$H0 # h1*r3
vpaddq $H0,$D4,$D4 # d4 += h1*r3
vpmuludq $T0,$H3,$H3 # h0*r3
vpaddq $H3,$D3,$D3 # d3 += h0*r3
vpshufd \$0x10,`16*7-64`($ctx),$H2 # r4^n
vpmuludq $T4,$H4,$H1 # h4*s3
vpaddq $H1,$D2,$D2 # d2 += h4*s3
vpshufd \$0x10,`16*8-64`($ctx),$H3 # s4^n
vpmuludq $T3,$H4,$H0 # h3*s3
vpaddq $H0,$D1,$D1 # d1 += h3*s3
vpmuludq $T2,$H4,$H4 # h2*s3
vpaddq $H4,$D0,$D0 # d0 += h2*s3
vpmuludq $T0,$H2,$H2 # h0*r4
vpaddq $H2,$D4,$D4 # h4 = d4 + h0*r4
vpmuludq $T4,$H3,$H1 # h4*s4
vpaddq $H1,$D3,$D3 # h3 = d3 + h4*s4
vpmuludq $T3,$H3,$H0 # h3*s4
vpaddq $H0,$D2,$D2 # h2 = d2 + h3*s4
vpmuludq $T2,$H3,$H1 # h2*s4
vpaddq $H1,$D1,$D1 # h1 = d1 + h2*s4
vpmuludq $T1,$H3,$H3 # h1*s4
vpaddq $H3,$D0,$D0 # h0 = d0 + h1*s4
jz .Lshort_tail_avx
vmovdqu 16*0($inp),$H0 # load input
vmovdqu 16*1($inp),$H1
vpsrldq \$6,$H0,$H2 # splat input
vpsrldq \$6,$H1,$H3
vpunpckhqdq $H1,$H0,$H4 # 4
vpunpcklqdq $H1,$H0,$H0 # 0:1
vpunpcklqdq $H3,$H2,$H3 # 2:3
vpsrlq \$40,$H4,$H4 # 4
vpsrlq \$26,$H0,$H1
vpand $MASK,$H0,$H0 # 0
vpsrlq \$4,$H3,$H2
vpand $MASK,$H1,$H1 # 1
vpsrlq \$30,$H3,$H3
vpand $MASK,$H2,$H2 # 2
vpand $MASK,$H3,$H3 # 3
vpor 32(%rcx),$H4,$H4 # padbit, yes, always
vpshufd \$0x32,`16*0-64`($ctx),$T4 # r0^n, 34xx -> x3x4
vpaddq 0x00(%r11),$H0,$H0
vpaddq 0x10(%r11),$H1,$H1
vpaddq 0x20(%r11),$H2,$H2
vpaddq 0x30(%r11),$H3,$H3
vpaddq 0x40(%r11),$H4,$H4
################################################################
# multiply (inp[0:1]+hash) by r^4:r^3 and accumulate
vpmuludq $H0,$T4,$T0 # h0*r0
vpaddq $T0,$D0,$D0 # d0 += h0*r0
vpmuludq $H1,$T4,$T1 # h1*r0
vpaddq $T1,$D1,$D1 # d1 += h1*r0
vpmuludq $H2,$T4,$T0 # h2*r0
vpaddq $T0,$D2,$D2 # d2 += h2*r0
vpshufd \$0x32,`16*1-64`($ctx),$T2 # r1^n
vpmuludq $H3,$T4,$T1 # h3*r0
vpaddq $T1,$D3,$D3 # d3 += h3*r0
vpmuludq $H4,$T4,$T4 # h4*r0
vpaddq $T4,$D4,$D4 # d4 += h4*r0
vpmuludq $H3,$T2,$T0 # h3*r1
vpaddq $T0,$D4,$D4 # d4 += h3*r1
vpshufd \$0x32,`16*2-64`($ctx),$T3 # s1
vpmuludq $H2,$T2,$T1 # h2*r1
vpaddq $T1,$D3,$D3 # d3 += h2*r1
vpshufd \$0x32,`16*3-64`($ctx),$T4 # r2
vpmuludq $H1,$T2,$T0 # h1*r1
vpaddq $T0,$D2,$D2 # d2 += h1*r1
vpmuludq $H0,$T2,$T2 # h0*r1
vpaddq $T2,$D1,$D1 # d1 += h0*r1
vpmuludq $H4,$T3,$T3 # h4*s1
vpaddq $T3,$D0,$D0 # d0 += h4*s1
vpshufd \$0x32,`16*4-64`($ctx),$T2 # s2
vpmuludq $H2,$T4,$T1 # h2*r2
vpaddq $T1,$D4,$D4 # d4 += h2*r2
vpmuludq $H1,$T4,$T0 # h1*r2
vpaddq $T0,$D3,$D3 # d3 += h1*r2
vpshufd \$0x32,`16*5-64`($ctx),$T3 # r3
vpmuludq $H0,$T4,$T4 # h0*r2
vpaddq $T4,$D2,$D2 # d2 += h0*r2
vpmuludq $H4,$T2,$T1 # h4*s2
vpaddq $T1,$D1,$D1 # d1 += h4*s2
vpshufd \$0x32,`16*6-64`($ctx),$T4 # s3
vpmuludq $H3,$T2,$T2 # h3*s2
vpaddq $T2,$D0,$D0 # d0 += h3*s2
vpmuludq $H1,$T3,$T0 # h1*r3
vpaddq $T0,$D4,$D4 # d4 += h1*r3
vpmuludq $H0,$T3,$T3 # h0*r3
vpaddq $T3,$D3,$D3 # d3 += h0*r3
vpshufd \$0x32,`16*7-64`($ctx),$T2 # r4
vpmuludq $H4,$T4,$T1 # h4*s3
vpaddq $T1,$D2,$D2 # d2 += h4*s3
vpshufd \$0x32,`16*8-64`($ctx),$T3 # s4
vpmuludq $H3,$T4,$T0 # h3*s3
vpaddq $T0,$D1,$D1 # d1 += h3*s3
vpmuludq $H2,$T4,$T4 # h2*s3
vpaddq $T4,$D0,$D0 # d0 += h2*s3
vpmuludq $H0,$T2,$T2 # h0*r4
vpaddq $T2,$D4,$D4 # d4 += h0*r4
vpmuludq $H4,$T3,$T1 # h4*s4
vpaddq $T1,$D3,$D3 # d3 += h4*s4
vpmuludq $H3,$T3,$T0 # h3*s4
vpaddq $T0,$D2,$D2 # d2 += h3*s4
vpmuludq $H2,$T3,$T1 # h2*s4
vpaddq $T1,$D1,$D1 # d1 += h2*s4
vpmuludq $H1,$T3,$T3 # h1*s4
vpaddq $T3,$D0,$D0 # d0 += h1*s4
.Lshort_tail_avx:
################################################################
# horizontal addition
vpsrldq \$8,$D4,$T4
vpsrldq \$8,$D3,$T3
vpsrldq \$8,$D1,$T1
vpsrldq \$8,$D0,$T0
vpsrldq \$8,$D2,$T2
vpaddq $T3,$D3,$D3
vpaddq $T4,$D4,$D4
vpaddq $T0,$D0,$D0
vpaddq $T1,$D1,$D1
vpaddq $T2,$D2,$D2
################################################################
# lazy reduction
vpsrlq \$26,$D3,$H3
vpand $MASK,$D3,$D3
vpaddq $H3,$D4,$D4 # h3 -> h4
vpsrlq \$26,$D0,$H0
vpand $MASK,$D0,$D0
vpaddq $H0,$D1,$D1 # h0 -> h1
vpsrlq \$26,$D4,$H4
vpand $MASK,$D4,$D4
vpsrlq \$26,$D1,$H1
vpand $MASK,$D1,$D1
vpaddq $H1,$D2,$D2 # h1 -> h2
vpaddq $H4,$D0,$D0
vpsllq \$2,$H4,$H4
vpaddq $H4,$D0,$D0 # h4 -> h0
vpsrlq \$26,$D2,$H2
vpand $MASK,$D2,$D2
vpaddq $H2,$D3,$D3 # h2 -> h3
vpsrlq \$26,$D0,$H0
vpand $MASK,$D0,$D0
vpaddq $H0,$D1,$D1 # h0 -> h1
vpsrlq \$26,$D3,$H3
vpand $MASK,$D3,$D3
vpaddq $H3,$D4,$D4 # h3 -> h4
vmovd $D0,`4*0-48-64`($ctx) # save partially reduced
vmovd $D1,`4*1-48-64`($ctx)
vmovd $D2,`4*2-48-64`($ctx)
vmovd $D3,`4*3-48-64`($ctx)
vmovd $D4,`4*4-48-64`($ctx)
___
$code.=<<___ if ($win64);
vmovdqa 0x50(%r11),%xmm6
vmovdqa 0x60(%r11),%xmm7
vmovdqa 0x70(%r11),%xmm8
vmovdqa 0x80(%r11),%xmm9
vmovdqa 0x90(%r11),%xmm10
vmovdqa 0xa0(%r11),%xmm11
vmovdqa 0xb0(%r11),%xmm12
vmovdqa 0xc0(%r11),%xmm13
vmovdqa 0xd0(%r11),%xmm14
vmovdqa 0xe0(%r11),%xmm15
lea 0xf8(%r11),%rsp
.Ldo_avx_epilogue:
___
$code.=<<___ if (!$win64);
lea 0x58(%r11),%rsp
___
$code.=<<___;
vzeroupper
ret
.size poly1305_blocks_avx,.-poly1305_blocks_avx
.type poly1305_emit_avx,\@function,3
.align 32
poly1305_emit_avx:
cmpl \$0,20($ctx) # is_base2_26?
je .Lemit
mov 0($ctx),%eax # load hash value base 2^26
mov 4($ctx),%ecx
mov 8($ctx),%r8d
mov 12($ctx),%r11d
mov 16($ctx),%r10d
shl \$26,%rcx # base 2^26 -> base 2^64
mov %r8,%r9
shl \$52,%r8
add %rcx,%rax
shr \$12,%r9
add %rax,%r8 # h0
adc \$0,%r9
shl \$14,%r11
mov %r10,%rax
shr \$24,%r10
add %r11,%r9
shl \$40,%rax
add %rax,%r9 # h1
adc \$0,%r10 # h2
mov %r10,%rax # could be partially reduced, so reduce
mov %r10,%rcx
and \$3,%r10
shr \$2,%rax
and \$-4,%rcx
add %rcx,%rax
add %rax,%r8
adc \$0,%r9
adc \$0,%r10
mov %r8,%rax
add \$5,%r8 # compare to modulus
mov %r9,%rcx
adc \$0,%r9
adc \$0,%r10
shr \$2,%r10 # did 130-bit value overfow?
cmovnz %r8,%rax
cmovnz %r9,%rcx
add 0($nonce),%rax # accumulate nonce
adc 8($nonce),%rcx
mov %rax,0($mac) # write result
mov %rcx,8($mac)
ret
.size poly1305_emit_avx,.-poly1305_emit_avx
___
if ($avx>1) {
my ($H0,$H1,$H2,$H3,$H4, $MASK, $T4,$T0,$T1,$T2,$T3, $D0,$D1,$D2,$D3,$D4) =
map("%ymm$_",(0..15));
my $S4=$MASK;
$code.=<<___;
.type poly1305_blocks_avx2,\@function,4
.align 32
poly1305_blocks_avx2:
mov 20($ctx),%r8d # is_base2_26
cmp \$128,$len
jae .Lblocks_avx2
test %r8d,%r8d
jz .Lblocks
.Lblocks_avx2:
and \$-16,$len
jz .Lno_data_avx2
vzeroupper
test %r8d,%r8d
jz .Lbase2_64_avx2
test \$63,$len
jz .Leven_avx2
push %rbx
push %rbp
push %r12
push %r13
push %r14
push %r15
.Lblocks_avx2_body:
mov $len,%r15 # reassign $len
mov 0($ctx),$d1 # load hash value
mov 8($ctx),$d2
mov 16($ctx),$h2#d
mov 24($ctx),$r0 # load r
mov 32($ctx),$s1
################################# base 2^26 -> base 2^64
mov $d1#d,$h0#d
and \$`-1*(1<<31)`,$d1
mov $d2,$r1 # borrow $r1
mov $d2#d,$h1#d
and \$`-1*(1<<31)`,$d2
shr \$6,$d1
shl \$52,$r1
add $d1,$h0
shr \$12,$h1
shr \$18,$d2
add $r1,$h0
adc $d2,$h1
mov $h2,$d1
shl \$40,$d1
shr \$24,$h2
add $d1,$h1
adc \$0,$h2 # can be partially reduced...
mov \$-4,$d2 # ... so reduce
mov $h2,$d1
and $h2,$d2
shr \$2,$d1
and \$3,$h2
add $d2,$d1 # =*5
add $d1,$h0
adc \$0,$h1
adc \$0,$h2
mov $s1,$r1
mov $s1,%rax
shr \$2,$s1
add $r1,$s1 # s1 = r1 + (r1 >> 2)
.Lbase2_26_pre_avx2:
add 0($inp),$h0 # accumulate input
adc 8($inp),$h1
lea 16($inp),$inp
adc $padbit,$h2
sub \$16,%r15
call __poly1305_block
mov $r1,%rax
test \$63,%r15
jnz .Lbase2_26_pre_avx2
test $padbit,$padbit # if $padbit is zero,
jz .Lstore_base2_64_avx2 # store hash in base 2^64 format
################################# base 2^64 -> base 2^26
mov $h0,%rax
mov $h0,%rdx
shr \$52,$h0
mov $h1,$r0
mov $h1,$r1
shr \$26,%rdx
and \$0x3ffffff,%rax # h[0]
shl \$12,$r0
and \$0x3ffffff,%rdx # h[1]
shr \$14,$h1
or $r0,$h0
shl \$24,$h2
and \$0x3ffffff,$h0 # h[2]
shr \$40,$r1
and \$0x3ffffff,$h1 # h[3]
or $r1,$h2 # h[4]
test %r15,%r15
jz .Lstore_base2_26_avx2
vmovd %rax#d,%x#$H0
vmovd %rdx#d,%x#$H1
vmovd $h0#d,%x#$H2
vmovd $h1#d,%x#$H3
vmovd $h2#d,%x#$H4
jmp .Lproceed_avx2
.align 32
.Lstore_base2_64_avx2:
mov $h0,0($ctx)
mov $h1,8($ctx)
mov $h2,16($ctx) # note that is_base2_26 is zeroed
jmp .Ldone_avx2
.align 16
.Lstore_base2_26_avx2:
mov %rax#d,0($ctx) # store hash value base 2^26
mov %rdx#d,4($ctx)
mov $h0#d,8($ctx)
mov $h1#d,12($ctx)
mov $h2#d,16($ctx)
.align 16
.Ldone_avx2:
mov 0(%rsp),%r15
mov 8(%rsp),%r14
mov 16(%rsp),%r13
mov 24(%rsp),%r12
mov 32(%rsp),%rbp
mov 40(%rsp),%rbx
lea 48(%rsp),%rsp
.Lno_data_avx2:
.Lblocks_avx2_epilogue:
ret
.align 32
.Lbase2_64_avx2:
push %rbx
push %rbp
push %r12
push %r13
push %r14
push %r15
.Lbase2_64_avx2_body:
mov $len,%r15 # reassign $len
mov 24($ctx),$r0 # load r
mov 32($ctx),$s1
mov 0($ctx),$h0 # load hash value
mov 8($ctx),$h1
mov 16($ctx),$h2#d
mov $s1,$r1
mov $s1,%rax
shr \$2,$s1
add $r1,$s1 # s1 = r1 + (r1 >> 2)
test \$63,$len
jz .Linit_avx2
.Lbase2_64_pre_avx2:
add 0($inp),$h0 # accumulate input
adc 8($inp),$h1
lea 16($inp),$inp
adc $padbit,$h2
sub \$16,%r15
call __poly1305_block
mov $r1,%rax
test \$63,%r15
jnz .Lbase2_64_pre_avx2
.Linit_avx2:
################################# base 2^64 -> base 2^26
mov $h0,%rax
mov $h0,%rdx
shr \$52,$h0
mov $h1,$d1
mov $h1,$d2
shr \$26,%rdx
and \$0x3ffffff,%rax # h[0]
shl \$12,$d1
and \$0x3ffffff,%rdx # h[1]
shr \$14,$h1
or $d1,$h0
shl \$24,$h2
and \$0x3ffffff,$h0 # h[2]
shr \$40,$d2
and \$0x3ffffff,$h1 # h[3]
or $d2,$h2 # h[4]
vmovd %rax#d,%x#$H0
vmovd %rdx#d,%x#$H1
vmovd $h0#d,%x#$H2
vmovd $h1#d,%x#$H3
vmovd $h2#d,%x#$H4
movl \$1,20($ctx) # set is_base2_26
call __poly1305_init_avx
.Lproceed_avx2:
mov %r15,$len
mov 0(%rsp),%r15
mov 8(%rsp),%r14
mov 16(%rsp),%r13
mov 24(%rsp),%r12
mov 32(%rsp),%rbp
mov 40(%rsp),%rbx
lea 48(%rsp),%rax
lea 48(%rsp),%rsp
.Lbase2_64_avx2_epilogue:
jmp .Ldo_avx2
.align 32
.Leven_avx2:
vmovd 4*0($ctx),%x#$H0 # load hash value base 2^26
vmovd 4*1($ctx),%x#$H1
vmovd 4*2($ctx),%x#$H2
vmovd 4*3($ctx),%x#$H3
vmovd 4*4($ctx),%x#$H4
.Ldo_avx2:
___
$code.=<<___ if (!$win64);
lea -8(%rsp),%r11
sub \$0x128,%rsp
___
$code.=<<___ if ($win64);
lea -0xf8(%rsp),%r11
sub \$0x1c8,%rsp
vmovdqa %xmm6,0x50(%r11)
vmovdqa %xmm7,0x60(%r11)
vmovdqa %xmm8,0x70(%r11)
vmovdqa %xmm9,0x80(%r11)
vmovdqa %xmm10,0x90(%r11)
vmovdqa %xmm11,0xa0(%r11)
vmovdqa %xmm12,0xb0(%r11)
vmovdqa %xmm13,0xc0(%r11)
vmovdqa %xmm14,0xd0(%r11)
vmovdqa %xmm15,0xe0(%r11)
.Ldo_avx2_body:
___
$code.=<<___;
lea 48+64($ctx),$ctx # size optimization
lea .Lconst(%rip),%rcx
# expand and copy pre-calculated table to stack
vmovdqu `16*0-64`($ctx),%x#$T2
and \$-512,%rsp
vmovdqu `16*1-64`($ctx),%x#$T3
vmovdqu `16*2-64`($ctx),%x#$T4
vmovdqu `16*3-64`($ctx),%x#$D0
vmovdqu `16*4-64`($ctx),%x#$D1
vmovdqu `16*5-64`($ctx),%x#$D2
vmovdqu `16*6-64`($ctx),%x#$D3
vpermq \$0x15,$T2,$T2 # 00003412 -> 12343434
vmovdqu `16*7-64`($ctx),%x#$D4
vpermq \$0x15,$T3,$T3
vpshufd \$0xc8,$T2,$T2 # 12343434 -> 14243444
vmovdqu `16*8-64`($ctx),%x#$MASK
vpermq \$0x15,$T4,$T4
vpshufd \$0xc8,$T3,$T3
vmovdqa $T2,0x00(%rsp)
vpermq \$0x15,$D0,$D0
vpshufd \$0xc8,$T4,$T4
vmovdqa $T3,0x20(%rsp)
vpermq \$0x15,$D1,$D1
vpshufd \$0xc8,$D0,$D0
vmovdqa $T4,0x40(%rsp)
vpermq \$0x15,$D2,$D2
vpshufd \$0xc8,$D1,$D1
vmovdqa $D0,0x60(%rsp)
vpermq \$0x15,$D3,$D3
vpshufd \$0xc8,$D2,$D2
vmovdqa $D1,0x80(%rsp)
vpermq \$0x15,$D4,$D4
vpshufd \$0xc8,$D3,$D3
vmovdqa $D2,0xa0(%rsp)
vpermq \$0x15,$MASK,$MASK
vpshufd \$0xc8,$D4,$D4
vmovdqa $D3,0xc0(%rsp)
vpshufd \$0xc8,$MASK,$MASK
vmovdqa $D4,0xe0(%rsp)
vmovdqa $MASK,0x100(%rsp)
vmovdqa 64(%rcx),$MASK # .Lmask26
################################################################
# load input
vmovdqu 16*0($inp),%x#$T0
vmovdqu 16*1($inp),%x#$T1
vinserti128 \$1,16*2($inp),$T0,$T0
vinserti128 \$1,16*3($inp),$T1,$T1
lea 16*4($inp),$inp
vpsrldq \$6,$T0,$T2 # splat input
vpsrldq \$6,$T1,$T3
vpunpckhqdq $T1,$T0,$T4 # 4
vpunpcklqdq $T3,$T2,$T2 # 2:3
vpunpcklqdq $T1,$T0,$T0 # 0:1
vpsrlq \$30,$T2,$T3
vpsrlq \$4,$T2,$T2
vpsrlq \$26,$T0,$T1
vpsrlq \$40,$T4,$T4 # 4
vpand $MASK,$T2,$T2 # 2
vpand $MASK,$T0,$T0 # 0
vpand $MASK,$T1,$T1 # 1
vpand $MASK,$T3,$T3 # 3
vpor 32(%rcx),$T4,$T4 # padbit, yes, always
lea 0x90(%rsp),%rax # size optimization
vpaddq $H2,$T2,$H2 # accumulate input
sub \$64,$len
jz .Ltail_avx2
jmp .Loop_avx2
.align 32
.Loop_avx2:
################################################################
# ((inp[0]*r^4+r[4])*r^4+r[8])*r^4
# ((inp[1]*r^4+r[5])*r^4+r[9])*r^3
# ((inp[2]*r^4+r[6])*r^4+r[10])*r^2
# ((inp[3]*r^4+r[7])*r^4+r[11])*r^1
# \________/\________/
################################################################
#vpaddq $H2,$T2,$H2 # accumulate input
vpaddq $H0,$T0,$H0
vmovdqa `32*0`(%rsp),$T0 # r0^4
vpaddq $H1,$T1,$H1
vmovdqa `32*1`(%rsp),$T1 # r1^4
vpaddq $H3,$T3,$H3
vmovdqa `32*3`(%rsp),$T2 # r2^4
vpaddq $H4,$T4,$H4
vmovdqa `32*6-0x90`(%rax),$T3 # s3^4
vmovdqa `32*8-0x90`(%rax),$S4 # s4^4
# d4 = h4*r0 + h3*r1 + h2*r2 + h1*r3 + h0*r4
# d3 = h3*r0 + h2*r1 + h1*r2 + h0*r3 + h4*5*r4
# d2 = h2*r0 + h1*r1 + h0*r2 + h4*5*r3 + h3*5*r4
# d1 = h1*r0 + h0*r1 + h4*5*r2 + h3*5*r3 + h2*5*r4
# d0 = h0*r0 + h4*5*r1 + h3*5*r2 + h2*5*r3 + h1*5*r4
#
# however, as h2 is "chronologically" first one available pull
# corresponding operations up, so it's
#
# d4 = h2*r2 + h4*r0 + h3*r1 + h1*r3 + h0*r4
# d3 = h2*r1 + h3*r0 + h1*r2 + h0*r3 + h4*5*r4
# d2 = h2*r0 + h1*r1 + h0*r2 + h4*5*r3 + h3*5*r4
# d1 = h2*5*r4 + h1*r0 + h0*r1 + h4*5*r2 + h3*5*r3
# d0 = h2*5*r3 + h0*r0 + h4*5*r1 + h3*5*r2 + h1*5*r4
vpmuludq $H2,$T0,$D2 # d2 = h2*r0
vpmuludq $H2,$T1,$D3 # d3 = h2*r1
vpmuludq $H2,$T2,$D4 # d4 = h2*r2
vpmuludq $H2,$T3,$D0 # d0 = h2*s3
vpmuludq $H2,$S4,$D1 # d1 = h2*s4
vpmuludq $H0,$T1,$T4 # h0*r1
vpmuludq $H1,$T1,$H2 # h1*r1, borrow $H2 as temp
vpaddq $T4,$D1,$D1 # d1 += h0*r1
vpaddq $H2,$D2,$D2 # d2 += h1*r1
vpmuludq $H3,$T1,$T4 # h3*r1
vpmuludq `32*2`(%rsp),$H4,$H2 # h4*s1
vpaddq $T4,$D4,$D4 # d4 += h3*r1
vpaddq $H2,$D0,$D0 # d0 += h4*s1
vmovdqa `32*4-0x90`(%rax),$T1 # s2
vpmuludq $H0,$T0,$T4 # h0*r0
vpmuludq $H1,$T0,$H2 # h1*r0
vpaddq $T4,$D0,$D0 # d0 += h0*r0
vpaddq $H2,$D1,$D1 # d1 += h1*r0
vpmuludq $H3,$T0,$T4 # h3*r0
vpmuludq $H4,$T0,$H2 # h4*r0
vmovdqu 16*0($inp),%x#$T0 # load input
vpaddq $T4,$D3,$D3 # d3 += h3*r0
vpaddq $H2,$D4,$D4 # d4 += h4*r0
vinserti128 \$1,16*2($inp),$T0,$T0
vpmuludq $H3,$T1,$T4 # h3*s2
vpmuludq $H4,$T1,$H2 # h4*s2
vmovdqu 16*1($inp),%x#$T1
vpaddq $T4,$D0,$D0 # d0 += h3*s2
vpaddq $H2,$D1,$D1 # d1 += h4*s2
vmovdqa `32*5-0x90`(%rax),$H2 # r3
vpmuludq $H1,$T2,$T4 # h1*r2
vpmuludq $H0,$T2,$T2 # h0*r2
vpaddq $T4,$D3,$D3 # d3 += h1*r2
vpaddq $T2,$D2,$D2 # d2 += h0*r2
vinserti128 \$1,16*3($inp),$T1,$T1
lea 16*4($inp),$inp
vpmuludq $H1,$H2,$T4 # h1*r3
vpmuludq $H0,$H2,$H2 # h0*r3
vpsrldq \$6,$T0,$T2 # splat input
vpaddq $T4,$D4,$D4 # d4 += h1*r3
vpaddq $H2,$D3,$D3 # d3 += h0*r3
vpmuludq $H3,$T3,$T4 # h3*s3
vpmuludq $H4,$T3,$H2 # h4*s3
vpsrldq \$6,$T1,$T3
vpaddq $T4,$D1,$D1 # d1 += h3*s3
vpaddq $H2,$D2,$D2 # d2 += h4*s3
vpunpckhqdq $T1,$T0,$T4 # 4
vpmuludq $H3,$S4,$H3 # h3*s4
vpmuludq $H4,$S4,$H4 # h4*s4
vpunpcklqdq $T1,$T0,$T0 # 0:1
vpaddq $H3,$D2,$H2 # h2 = d2 + h3*r4
vpaddq $H4,$D3,$H3 # h3 = d3 + h4*r4
vpunpcklqdq $T3,$T2,$T3 # 2:3
vpmuludq `32*7-0x90`(%rax),$H0,$H4 # h0*r4
vpmuludq $H1,$S4,$H0 # h1*s4
vmovdqa 64(%rcx),$MASK # .Lmask26
vpaddq $H4,$D4,$H4 # h4 = d4 + h0*r4
vpaddq $H0,$D0,$H0 # h0 = d0 + h1*s4
################################################################
# lazy reduction (interleaved with tail of input splat)
vpsrlq \$26,$H3,$D3
vpand $MASK,$H3,$H3
vpaddq $D3,$H4,$H4 # h3 -> h4
vpsrlq \$26,$H0,$D0
vpand $MASK,$H0,$H0
vpaddq $D0,$D1,$H1 # h0 -> h1
vpsrlq \$26,$H4,$D4
vpand $MASK,$H4,$H4
vpsrlq \$4,$T3,$T2
vpsrlq \$26,$H1,$D1
vpand $MASK,$H1,$H1
vpaddq $D1,$H2,$H2 # h1 -> h2
vpaddq $D4,$H0,$H0
vpsllq \$2,$D4,$D4
vpaddq $D4,$H0,$H0 # h4 -> h0
vpand $MASK,$T2,$T2 # 2
vpsrlq \$26,$T0,$T1
vpsrlq \$26,$H2,$D2
vpand $MASK,$H2,$H2
vpaddq $D2,$H3,$H3 # h2 -> h3
vpaddq $T2,$H2,$H2 # modulo-scheduled
vpsrlq \$30,$T3,$T3
vpsrlq \$26,$H0,$D0
vpand $MASK,$H0,$H0
vpaddq $D0,$H1,$H1 # h0 -> h1
vpsrlq \$40,$T4,$T4 # 4
vpsrlq \$26,$H3,$D3
vpand $MASK,$H3,$H3
vpaddq $D3,$H4,$H4 # h3 -> h4
vpand $MASK,$T0,$T0 # 0
vpand $MASK,$T1,$T1 # 1
vpand $MASK,$T3,$T3 # 3
vpor 32(%rcx),$T4,$T4 # padbit, yes, always
sub \$64,$len
jnz .Loop_avx2
.byte 0x66,0x90
.Ltail_avx2:
################################################################
# while above multiplications were by r^4 in all lanes, in last
# iteration we multiply least significant lane by r^4 and most
# significant one by r, so copy of above except that references
# to the precomputed table are displaced by 4...
#vpaddq $H2,$T2,$H2 # accumulate input
vpaddq $H0,$T0,$H0
vmovdqu `32*0+4`(%rsp),$T0 # r0^4
vpaddq $H1,$T1,$H1
vmovdqu `32*1+4`(%rsp),$T1 # r1^4
vpaddq $H3,$T3,$H3
vmovdqu `32*3+4`(%rsp),$T2 # r2^4
vpaddq $H4,$T4,$H4
vmovdqu `32*6+4-0x90`(%rax),$T3 # s3^4
vmovdqu `32*8+4-0x90`(%rax),$S4 # s4^4
vpmuludq $H2,$T0,$D2 # d2 = h2*r0
vpmuludq $H2,$T1,$D3 # d3 = h2*r1
vpmuludq $H2,$T2,$D4 # d4 = h2*r2
vpmuludq $H2,$T3,$D0 # d0 = h2*s3
vpmuludq $H2,$S4,$D1 # d1 = h2*s4
vpmuludq $H0,$T1,$T4 # h0*r1
vpmuludq $H1,$T1,$H2 # h1*r1
vpaddq $T4,$D1,$D1 # d1 += h0*r1
vpaddq $H2,$D2,$D2 # d2 += h1*r1
vpmuludq $H3,$T1,$T4 # h3*r1
vpmuludq `32*2+4`(%rsp),$H4,$H2 # h4*s1
vpaddq $T4,$D4,$D4 # d4 += h3*r1
vpaddq $H2,$D0,$D0 # d0 += h4*s1
vpmuludq $H0,$T0,$T4 # h0*r0
vpmuludq $H1,$T0,$H2 # h1*r0
vpaddq $T4,$D0,$D0 # d0 += h0*r0
vmovdqu `32*4+4-0x90`(%rax),$T1 # s2
vpaddq $H2,$D1,$D1 # d1 += h1*r0
vpmuludq $H3,$T0,$T4 # h3*r0
vpmuludq $H4,$T0,$H2 # h4*r0
vpaddq $T4,$D3,$D3 # d3 += h3*r0
vpaddq $H2,$D4,$D4 # d4 += h4*r0
vpmuludq $H3,$T1,$T4 # h3*s2
vpmuludq $H4,$T1,$H2 # h4*s2
vpaddq $T4,$D0,$D0 # d0 += h3*s2
vpaddq $H2,$D1,$D1 # d1 += h4*s2
vmovdqu `32*5+4-0x90`(%rax),$H2 # r3
vpmuludq $H1,$T2,$T4 # h1*r2
vpmuludq $H0,$T2,$T2 # h0*r2
vpaddq $T4,$D3,$D3 # d3 += h1*r2
vpaddq $T2,$D2,$D2 # d2 += h0*r2
vpmuludq $H1,$H2,$T4 # h1*r3
vpmuludq $H0,$H2,$H2 # h0*r3
vpaddq $T4,$D4,$D4 # d4 += h1*r3
vpaddq $H2,$D3,$D3 # d3 += h0*r3
vpmuludq $H3,$T3,$T4 # h3*s3
vpmuludq $H4,$T3,$H2 # h4*s3
vpaddq $T4,$D1,$D1 # d1 += h3*s3
vpaddq $H2,$D2,$D2 # d2 += h4*s3
vpmuludq $H3,$S4,$H3 # h3*s4
vpmuludq $H4,$S4,$H4 # h4*s4
vpaddq $H3,$D2,$H2 # h2 = d2 + h3*r4
vpaddq $H4,$D3,$H3 # h3 = d3 + h4*r4
vpmuludq `32*7+4-0x90`(%rax),$H0,$H4 # h0*r4
vpmuludq $H1,$S4,$H0 # h1*s4
vmovdqa 64(%rcx),$MASK # .Lmask26
vpaddq $H4,$D4,$H4 # h4 = d4 + h0*r4
vpaddq $H0,$D0,$H0 # h0 = d0 + h1*s4
################################################################
# horizontal addition
vpsrldq \$8,$D1,$T1
vpsrldq \$8,$H2,$T2
vpsrldq \$8,$H3,$T3
vpsrldq \$8,$H4,$T4
vpsrldq \$8,$H0,$T0
vpaddq $T1,$D1,$D1
vpaddq $T2,$H2,$H2
vpaddq $T3,$H3,$H3
vpaddq $T4,$H4,$H4
vpaddq $T0,$H0,$H0
vpermq \$0x2,$H3,$T3
vpermq \$0x2,$H4,$T4
vpermq \$0x2,$H0,$T0
vpermq \$0x2,$D1,$T1
vpermq \$0x2,$H2,$T2
vpaddq $T3,$H3,$H3
vpaddq $T4,$H4,$H4
vpaddq $T0,$H0,$H0
vpaddq $T1,$D1,$D1
vpaddq $T2,$H2,$H2
################################################################
# lazy reduction
vpsrlq \$26,$H3,$D3
vpand $MASK,$H3,$H3
vpaddq $D3,$H4,$H4 # h3 -> h4
vpsrlq \$26,$H0,$D0
vpand $MASK,$H0,$H0
vpaddq $D0,$D1,$H1 # h0 -> h1
vpsrlq \$26,$H4,$D4
vpand $MASK,$H4,$H4
vpsrlq \$26,$H1,$D1
vpand $MASK,$H1,$H1
vpaddq $D1,$H2,$H2 # h1 -> h2
vpaddq $D4,$H0,$H0
vpsllq \$2,$D4,$D4
vpaddq $D4,$H0,$H0 # h4 -> h0
vpsrlq \$26,$H2,$D2
vpand $MASK,$H2,$H2
vpaddq $D2,$H3,$H3 # h2 -