x86[_64] assembly pack: add ChaCha20 and Poly1305 modules.

Reviewed-by: Rich Salz <rsalz@openssl.org>

3 files changed, 4042 insertions, 0 deletions

diff --git a/crypto/poly1305/Makefile.in b/crypto/poly1305/Makefile.in
index 9d74865805..c848843189 100644
--- a/crypto/poly1305/Makefile.in
+++ b/crypto/poly1305/Makefile.in
@@ -38,6 +38,10 @@ lib:	$(LIBOBJ)
 
 poly1305-sparcv9.S:	asm/poly1305-sparcv9.pl
 	$(PERL) asm/poly1305-sparcv9.pl > $@
+poly1305-x86.s:		asm/poly1305-x86.pl
+	$(PERL) asm/poly1305-x86.pl $(PERLASM_SCHEME) $(CFLAGS) $(PROCESSOR) > $@
+poly1305-x86_64.s:	asm/poly1305-x86_64.pl
+	$(PERL) asm/poly1305-x86_64.pl $(PERLASM_SCHEME) > $@
 
 poly1305-%.S:	asm/poly1305-%.pl;	$(PERL) $< $(PERLASM_SCHEME) $@
 
diff --git a/crypto/poly1305/asm/poly1305-x86.pl b/crypto/poly1305/asm/poly1305-x86.pl
new file mode 100755
index 0000000000..7c1aee5fe0
--- /dev/null
+++ b/crypto/poly1305/asm/poly1305-x86.pl
@@ -0,0 +1,1794 @@
+#!/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.
+#
+# April 2015
+#
+# Numbers are cycles per processed byte with poly1305_blocks alone,
+# measured with rdtsc at fixed clock frequency.
+#
+#		IALU/gcc-3.4(*)	SSE2(**)	AVX2
+# Pentium	15.7/+80%	-
+# PIII		6.21/+90%	-
+# P4		19.8/+40%	3.24
+# Core 2	4.85/+90%	1.80
+# Westmere	4.58/+100%	1.43
+# Sandy Bridge	3.90/+100%	1.36
+# Haswell	3.88/+70%	1.18		0.72
+# Silvermont	11.0/+40%	4.80
+# VIA Nano	6.71/+90%	2.47
+# Sledgehammer	3.51/+180%	4.27
+# Bulldozer	4.53/+140%	1.31
+#
+# (*)	gcc 4.8 for some reason generated worse code;
+# (**)	besides SSE2 there are floating-point and AVX options; FP
+#	is deemed unnecessary, because pre-SSE2 processor are too
+#	old to care about, while it's not the fastest option on
+#	SSE2-capable ones; AVX is omitted, because it doesn't give
+#	a lot of improvement, 5-10% depending on processor;
+
+$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
+push(@INC,"${dir}","${dir}../../perlasm");
+require "x86asm.pl";
+
+&asm_init($ARGV[0],"poly1305-x86.pl",$ARGV[$#ARGV] eq "386");
+
+$sse2=$avx=0;
+for (@ARGV) { $sse2=1 if (/-DOPENSSL_IA32_SSE2/); }
+
+if ($sse2) {
+	&static_label("const_sse2");
+	&static_label("enter_blocks");
+	&static_label("enter_emit");
+	&external_label("OPENSSL_ia32cap_P");
+
+	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) + ($1>=2.22);
+	}
+
+	if (!$avx && $ARGV[0] eq "win32n" &&
+	   `nasm -v 2>&1` =~ /NASM version ([2-9]\.[0-9]+)/) {
+	$avx = ($1>=2.09) + ($1>=2.10);
+	}
+
+	if (!$avx && `$ENV{CC} -v 2>&1` =~ /(^clang version|based on LLVM) ([3-9]\.[0-9]+)/) {
+		$avx = ($2>=3.0) + ($2>3.0);
+	}
+}
+
+########################################################################
+# Layout of opaque area is following.
+#
+#	unsigned __int32 h[5];		# current hash value base 2^32
+#	unsigned __int32 pad;		# is_base2_26 in vector context
+#	unsigned __int32 r[4];		# key value base 2^32
+
+&align(64);
+&function_begin("poly1305_init");
+	&mov	("edi",&wparam(0));		# context
+	&mov	("esi",&wparam(1));		# key
+	&mov	("ebp",&wparam(2));		# function table
+
+	&xor	("eax","eax");
+	&mov	(&DWP(4*0,"edi"),"eax");	# zero hash value
+	&mov	(&DWP(4*1,"edi"),"eax");
+	&mov	(&DWP(4*2,"edi"),"eax");
+	&mov	(&DWP(4*3,"edi"),"eax");
+	&mov	(&DWP(4*4,"edi"),"eax");
+	&mov	(&DWP(4*5,"edi"),"eax");	# is_base2_26
+
+	&cmp	("esi",0);
+	&je	(&label("nokey"));
+
+    if ($sse2) {
+	&call	(&label("pic_point"));
+    &set_label("pic_point");
+	&blindpop("ebx");
+
+	&lea	("eax",&DWP("poly1305_blocks-".&label("pic_point"),"ebx"));
+	&lea	("edx",&DWP("poly1305_emit-".&label("pic_point"),"ebx"));
+
+	&picmeup("edi","OPENSSL_ia32cap_P","ebx",&label("pic_point"));
+	&mov	("ecx",&DWP(0,"edi"));
+	&and	("ecx",1<<26|1<<24);
+	&cmp	("ecx",1<<26|1<<24);		# SSE2 and XMM?
+	&jne	(&label("no_sse2"));
+
+	&lea	("eax",&DWP("_poly1305_blocks_sse2-".&label("pic_point"),"ebx"));
+	&lea	("edx",&DWP("_poly1305_emit_sse2-".&label("pic_point"),"ebx"));
+
+      if ($avx>1) {
+	&mov	("ecx",&DWP(8,"edi"));
+	&test	("ecx",1<<5);			# AVX2?
+	&jz	(&label("no_sse2"));
+
+	&lea	("eax",&DWP("_poly1305_blocks_avx2-".&label("pic_point"),"ebx"));
+      }
+    &set_label("no_sse2");
+	&mov	("edi",&wparam(0));		# reload context
+	&mov	(&DWP(0,"ebp"),"eax");		# fill function table
+	&mov	(&DWP(4,"ebp"),"edx");
+    }
+
+	&mov	("eax",&DWP(4*0,"esi"));	# load input key
+	&mov	("ebx",&DWP(4*1,"esi"));
+	&mov	("ecx",&DWP(4*2,"esi"));
+	&mov	("edx",&DWP(4*3,"esi"));
+	&and	("eax",0x0fffffff);
+	&and	("ebx",0x0ffffffc);
+	&and	("ecx",0x0ffffffc);
+	&and	("edx",0x0ffffffc);
+	&mov	(&DWP(4*6,"edi"),"eax");
+	&mov	(&DWP(4*7,"edi"),"ebx");
+	&mov	(&DWP(4*8,"edi"),"ecx");
+	&mov	(&DWP(4*9,"edi"),"edx");
+
+	&mov	("eax",$sse2);
+&set_label("nokey");
+&function_end("poly1305_init");
+
+($h0,$h1,$h2,$h3,$h4,
+ $d0,$d1,$d2,$d3,
+ $r0,$r1,$r2,$r3,
+     $s1,$s2,$s3)=map(4*$_,(0..15));
+
+&function_begin("poly1305_blocks");
+	&mov	("edi",&wparam(0));		# ctx
+	&mov	("esi",&wparam(1));		# inp
+	&mov	("ecx",&wparam(2));		# len
+&set_label("enter_blocks");
+	&and	("ecx",-15);
+	&jz	(&label("nodata"));
+
+	&stack_push(16);
+	&mov	("eax",&DWP(4*6,"edi"));	# r0
+	&mov	("ebx",&DWP(4*7,"edi"));	# r1
+	 &lea	("ebp",&DWP(0,"esi","ecx"));	# end of input
+	&mov	("ecx",&DWP(4*8,"edi"));	# r2
+	&mov	("edx",&DWP(4*9,"edi"));	# r3
+
+	&mov	(&wparam(2),"ebp");
+	&mov	("ebp","esi");
+
+	&mov	(&DWP($r0,"esp"),"eax");	# r0
+	&mov	("eax","ebx");
+	&shr	("eax",2);
+	&mov	(&DWP($r1,"esp"),"ebx");	# r1
+	&add	("eax","ebx");			# s1
+	&mov	("ebx","ecx");
+	&shr	("ebx",2);
+	&mov	(&DWP($r2,"esp"),"ecx");	# r2
+	&add	("ebx","ecx");			# s2
+	&mov	("ecx","edx");
+	&shr	("ecx",2);
+	&mov	(&DWP($r3,"esp"),"edx");	# r3
+	&add	("ecx","edx");			# s3
+	&mov	(&DWP($s1,"esp"),"eax");	# s1
+	&mov	(&DWP($s2,"esp"),"ebx");	# s2
+	&mov	(&DWP($s3,"esp"),"ecx");	# s3
+
+	&mov	("eax",&DWP(4*0,"edi"));	# load hash value
+	&mov	("ebx",&DWP(4*1,"edi"));
+	&mov	("ecx",&DWP(4*2,"edi"));
+	&mov	("esi",&DWP(4*3,"edi"));
+	&mov	("edi",&DWP(4*4,"edi"));
+	&jmp	(&label("loop"));
+
+&set_label("loop",32);
+	&add	("eax",&DWP(4*0,"ebp"));	# accumulate input
+	&adc	("ebx",&DWP(4*1,"ebp"));
+	&adc	("ecx",&DWP(4*2,"ebp"));
+	&adc	("esi",&DWP(4*3,"ebp"));
+	&lea	("ebp",&DWP(4*4,"ebp"));
+	&adc	("edi",&wparam(3));		# padbit
+
+	&mov	(&DWP($h0,"esp"),"eax");	# put aside hash[+inp]
+	&mov	(&DWP($h3,"esp"),"esi");
+
+	&mul	(&DWP($r0,"esp"));		# h0*r0
+	 &mov	(&DWP($h4,"esp"),"edi");
+	&mov	("edi","eax");
+	&mov	("eax","ebx");			# h1
+	&mov	("esi","edx");
+	&mul	(&DWP($s3,"esp"));		# h1*s3
+	&add	("edi","eax");
+	&mov	("eax","ecx");			# h2
+	&adc	("esi","edx");
+	&mul	(&DWP($s2,"esp"));		# h2*s2
+	&add	("edi","eax");
+	&mov	("eax",&DWP($h3,"esp"));
+	&adc	("esi","edx");
+	&mul	(&DWP($s1,"esp"));		# h3*s1
+	&add	("edi","eax");
+	 &mov	("eax",&DWP($h0,"esp"));
+	&adc	("esi","edx");
+
+	&mul	(&DWP($r1,"esp"));		# h0*r1
+	 &mov	(&DWP($d0,"esp"),"edi");
+	&xor	("edi","edi");
+	&add	("esi","eax");
+	&mov	("eax","ebx");			# h1
+	&adc	("edi","edx");
+	&mul	(&DWP($r0,"esp"));		# h1*r0
+	&add	("esi","eax");
+	&mov	("eax","ecx");			# h2
+	&adc	("edi","edx");
+	&mul	(&DWP($s3,"esp"));		# h2*s3
+	&add	("esi","eax");
+	&mov	("eax",&DWP($h3,"esp"));
+	&adc	("edi","edx");
+	&mul	(&DWP($s2,"esp"));		# h3*s2
+	&add	("esi","eax");
+	&mov	("eax",&DWP($h4,"esp"));
+	&adc	("edi","edx");
+	&imul	("eax",&DWP($s1,"esp"));	# h4*s1
+	&add	("esi","eax");
+	 &mov	("eax",&DWP($h0,"esp"));
+	&adc	("edi",0);
+
+	&mul	(&DWP($r2,"esp"));		# h0*r2
+	 &mov	(&DWP($d1,"esp"),"esi");
+	&xor	("esi","esi");
+	&add	("edi","eax");
+	&mov	("eax","ebx");			# h1
+	&adc	("esi","edx");
+	&mul	(&DWP($r1,"esp"));		# h1*r1
+	&add	("edi","eax");
+	&mov	("eax","ecx");			# h2
+	&adc	("esi","edx");
+	&mul	(&DWP($r0,"esp"));		# h2*r0
+	&add	("edi","eax");
+	&mov	("eax",&DWP($h3,"esp"));
+	&adc	("esi","edx");
+	&mul	(&DWP($s3,"esp"));		# h3*s3
+	&add	("edi","eax");
+	&mov	("eax",&DWP($h4,"esp"));
+	&adc	("esi","edx");
+	&imul	("eax",&DWP($s2,"esp"));	# h4*s2
+	&add	("edi","eax");
+	 &mov	("eax",&DWP($h0,"esp"));
+	&adc	("esi",0);
+
+	&mul	(&DWP($r3,"esp"));		# h0*r3
+	 &mov	(&DWP($d2,"esp"),"edi");
+	&xor	("edi","edi");
+	&add	("esi","eax");
+	&mov	("eax","ebx");			# h1
+	&adc	("edi","edx");
+	&mul	(&DWP($r2,"esp"));		# h1*r2
+	&add	("esi","eax");
+	&mov	("eax","ecx");			# h2
+	&adc	("edi","edx");
+	&mul	(&DWP($r1,"esp"));		# h2*r1
+	&add	("esi","eax");
+	&mov	("eax",&DWP($h3,"esp"));
+	&adc	("edi","edx");
+	&mul	(&DWP($r0,"esp"));		# h3*r0
+	&add	("esi","eax");
+	 &mov	("ecx",&DWP($h4,"esp"));
+	&adc	("edi","edx");
+
+	&mov	("edx","ecx");
+	&imul	("ecx",&DWP($s3,"esp"));	# h4*s3
+	&add	("esi","ecx");
+	 &mov	("eax",&DWP($d0,"esp"));
+	&adc	("edi",0);
+
+	&imul	("edx",&DWP($r0,"esp"));	# h4*r0
+	&add	("edx","edi");
+
+	&mov	("ebx",&DWP($d1,"esp"));
+	&mov	("ecx",&DWP($d2,"esp"));
+
+	&mov	("edi","edx");			# last reduction step
+	&shr	("edx",2);
+	&and	("edi",3);
+	&lea	("edx",&DWP(0,"edx","edx",4));	# *5
+	&add	("eax","edx");
+	&adc	("ebx",0);
+	&adc	("ecx",0);
+	&adc	("esi",0);
+
+	&cmp	("ebp",&wparam(2));		# done yet?
+	&jne	(&label("loop"));
+
+	&mov	("edx",&wparam(0));		# ctx
+	&stack_pop(16);
+	&mov	(&DWP(4*0,"edx"),"eax");	# store hash value
+	&mov	(&DWP(4*1,"edx"),"ebx");
+	&mov	(&DWP(4*2,"edx"),"ecx");
+	&mov	(&DWP(4*3,"edx"),"esi");
+	&mov	(&DWP(4*4,"edx"),"edi");
+&set_label("nodata");
+&function_end("poly1305_blocks");
+
+&function_begin("poly1305_emit");
+	&mov	("ebp",&wparam(0));		# context
+&set_label("enter_emit");
+	&mov	("edi",&wparam(1));		# output
+	&mov	("eax",&DWP(4*0,"ebp"));	# load hash value
+	&mov	("ebx",&DWP(4*1,"ebp"));
+	&mov	("ecx",&DWP(4*2,"ebp"));
+	&mov	("edx",&DWP(4*3,"ebp"));
+	&mov	("esi",&DWP(4*4,"ebp"));
+
+	&add	("eax",5);			# compare to modulus
+	&adc	("ebx",0);
+	&adc	("ecx",0);
+	&adc	("edx",0);
+	&adc	("esi",0);
+	&shr	("esi",2);			# did it carry/borrow?
+	&neg	("esi");			# do we choose hash-modulus?
+
+	&and	("eax","esi");
+	&and	("ebx","esi");
+	&and	("ecx","esi");
+	&and	("edx","esi");
+	&mov	(&DWP(4*0,"edi"),"eax");
+	&mov	(&DWP(4*1,"edi"),"ebx");
+	&mov	(&DWP(4*2,"edi"),"ecx");
+	&mov	(&DWP(4*3,"edi"),"edx");
+
+	&not	("esi");			# or original hash value?
+	&mov	("eax",&DWP(4*0,"ebp"));
+	&mov	("ebx",&DWP(4*1,"ebp"));
+	&mov	("ecx",&DWP(4*2,"ebp"));
+	&mov	("edx",&DWP(4*3,"ebp"));
+	&mov	("ebp",&wparam(2));
+	&and	("eax","esi");
+	&and	("ebx","esi");
+	&and	("ecx","esi");
+	&and	("edx","esi");
+	&or	("eax",&DWP(4*0,"edi"));
+	&or	("ebx",&DWP(4*1,"edi"));
+	&or	("ecx",&DWP(4*2,"edi"));
+	&or	("edx",&DWP(4*3,"edi"));
+
+	&add	("eax",&DWP(4*0,"ebp"));	# accumulate key
+	&adc	("ebx",&DWP(4*1,"ebp"));
+	&adc	("ecx",&DWP(4*2,"ebp"));
+	&adc	("edx",&DWP(4*3,"ebp"));
+
+	&mov	(&DWP(4*0,"edi"),"eax");
+	&mov	(&DWP(4*1,"edi"),"ebx");
+	&mov	(&DWP(4*2,"edi"),"ecx");
+	&mov	(&DWP(4*3,"edi"),"edx");
+&function_end("poly1305_emit");
+
+if ($sse2) {
+########################################################################
+# Layout of opaque area is following.
+#
+#	unsigned __int32 h[5];		# current hash value base 2^26
+#	unsigned __int32 is_base2_26;
+#	unsigned __int32 r[4];		# key value base 2^32
+#	unsigned __int32 pad[2];
+#	struct { unsigned __int32 r^4, r^3, r^2, r^1; } r[9];
+#
+# where r^n are base 2^26 digits of degrees of multiplier key. There are
+# 5 digits, but last four are interleaved with multiples of 5, totalling
+# in 9 elements: r0, r1, 5*r1, r2, 5*r2, r3, 5*r3, r4, 5*r4.
+
+my ($D0,$D1,$D2,$D3,$D4,$T0,$T1,$T2)=map("xmm$_",(0..7));
+my $MASK=$T2;	# borrow and keep in mind
+
+&align	(32);
+&function_begin_B("_poly1305_init_sse2");
+	&movdqu		($D4,&QWP(4*6,"edi"));		# key base 2^32
+	&lea		("edi",&DWP(16*3,"edi"));	# size optimization
+	&mov		("ebp","esp");
+	&sub		("esp",16*(9+5));
+	&and		("esp",-16);
+
+	#&pand		($D4,&QWP(96,"ebx"));		# magic mask
+	&movq		($MASK,&QWP(64,"ebx"));
+
+	&movdqa		($D0,$D4);
+	&movdqa		($D1,$D4);
+	&movdqa		($D2,$D4);
+
+	&pand		($D0,$MASK);			# -> base 2^26
+	&psrlq		($D1,26);
+	&psrldq		($D2,6);
+	&pand		($D1,$MASK);
+	&movdqa		($D3,$D2);
+	&psrlq		($D2,4)
+	&psrlq		($D3,30);
+	&pand		($D2,$MASK);
+	&pand		($D3,$MASK);
+	&psrldq		($D4,13);
+
+	&lea		("edx",&DWP(16*9,"esp"));	# size optimization
+	&mov		("ecx",2);
+&set_label("square");
+	&movdqa		(&QWP(16*0,"esp"),$D0);
+	&movdqa		(&QWP(16*1,"esp"),$D1);
+	&movdqa		(&QWP(16*2,"esp"),$D2);
+	&movdqa		(&QWP(16*3,"esp"),$D3);
+	&movdqa		(&QWP(16*4,"esp"),$D4);
+
+	&movdqa		($T1,$D1);
+	&movdqa		($T0,$D2);
+	&pslld		($T1,2);
+	&pslld		($T0,2);
+	&paddd		($T1,$D1);			# *5
+	&paddd		($T0,$D2);			# *5
+	&movdqa		(&QWP(16*5,"esp"),$T1);
+	&movdqa		(&QWP(16*6,"esp"),$T0);
+	&movdqa		($T1,$D3);
+	&movdqa		($T0,$D4);
+	&pslld		($T1,2);
+	&pslld		($T0,2);
+	&paddd		($T1,$D3);			# *5
+	&paddd		($T0,$D4);			# *5
+	&movdqa		(&QWP(16*7,"esp"),$T1);
+	&movdqa		(&QWP(16*8,"esp"),$T0);
+
+	&pshufd		($T1,$D0,0b01000100);
+	&movdqa		($T0,$D1);
+	&pshufd		($D1,$D1,0b01000100);
+	&pshufd		($D2,$D2,0b01000100);
+	&pshufd		($D3,$D3,0b01000100);
+	&pshufd		($D4,$D4,0b01000100);
+	&movdqa		(&QWP(16*0,"edx"),$T1);
+	&movdqa		(&QWP(16*1,"edx"),$D1);
+	&movdqa		(&QWP(16*2,"edx"),$D2);
+	&movdqa		(&QWP(16*3,"edx"),$D3);
+	&movdqa		(&QWP(16*4,"edx"),$D4);
+
+	################################################################
+	# 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
+
+	&pmuludq	($D4,$D0);			# h4*r0
+	&pmuludq	($D3,$D0);			# h3*r0
+	&pmuludq	($D2,$D0);			# h2*r0
+	&pmuludq	($D1,$D0);			# h1*r0
+	&pmuludq	($D0,$T1);			# h0*r0
+
+sub pmuladd {
+my $load = shift;
+my $base = shift; $base = "esp" if (!defined($base));
+
+	################################################################
+	# As for choice to "rotate" $T0-$T2 in order to move paddq
+	# past next multiplication. While it makes code harder to read
+	# and doesn't have significant effect on most processors, it
+	# makes a lot of difference on Atom, up to 30% improvement.
+
+	&movdqa		($T1,$T0);
+	&pmuludq	($T0,&QWP(16*3,$base));		# r1*h3
+	&movdqa		($T2,$T1);
+	&pmuludq	($T1,&QWP(16*2,$base));		# r1*h2
+	&paddq		($D4,$T0);
+	&movdqa		($T0,$T2);
+	&pmuludq	($T2,&QWP(16*1,$base));		# r1*h1
+	&paddq		($D3,$T1);
+	&$load		($T1,5);			# s1
+	&pmuludq	($T0,&QWP(16*0,$base));		# r1*h0
+	&paddq		($D2,$T2);
+	&pmuludq	($T1,&QWP(16*4,$base));		# s1*h4
+	 &$load		($T2,2);			# r2^n
+	&paddq		($D1,$T0);
+
+	&movdqa		($T0,$T2);
+	&pmuludq	($T2,&QWP(16*2,$base));		# r2*h2
+	 &paddq		($D0,$T1);
+	&movdqa		($T1,$T0);
+	&pmuludq	($T0,&QWP(16*1,$base));		# r2*h1
+	&paddq		($D4,$T2);
+	&$load		($T2,6);			# s2^n
+	&pmuludq	($T1,&QWP(16*0,$base));		# r2*h0
+	&paddq		($D3,$T0);
+	&movdqa		($T0,$T2);
+	&pmuludq	($T2,&QWP(16*4,$base));		# s2*h4
+	&paddq		($D2,$T1);
+	&pmuludq	($T0,&QWP(16*3,$base));		# s2*h3
+	 &$load		($T1,3);			# r3^n
+	&paddq		($D1,$T2);
+
+	&movdqa		($T2,$T1);
+	&pmuludq	($T1,&QWP(16*1,$base));		# r3*h1
+	 &paddq		($D0,$T0);
+	&$load		($T0,7);			# s3^n
+	&pmuludq	($T2,&QWP(16*0,$base));		# r3*h0
+	&paddq		($D4,$T1);
+	&movdqa		($T1,$T0);
+	&pmuludq	($T0,&QWP(16*4,$base));		# s3*h4
+	&paddq		($D3,$T2);
+	&movdqa		($T2,$T1);
+	&pmuludq	($T1,&QWP(16*3,$base));		# s3*h3
+	&paddq		($D2,$T0);
+	&pmuludq	($T2,&QWP(16*2,$base));		# s3*h2
+	 &$load		($T0,4);			# r4^n
+	&paddq		($D1,$T1);
+
+	&$load		($T1,8);			# s4^n
+	&pmuludq	($T0,&QWP(16*0,$base));		# r4*h0
+	 &paddq		($D0,$T2);
+	&movdqa		($T2,$T1);
+	&pmuludq	($T1,&QWP(16*4,$base));		# s4*h4
+	&paddq		($D4,$T0);
+	&movdqa		($T0,$T2);
+	&pmuludq	($T2,&QWP(16*1,$base));		# s4*h1
+	&paddq		($D3,$T1);
+	&movdqa		($T1,$T0);
+	&pmuludq	($T0,&QWP(16*2,$base));		# s4*h2
+	&paddq		($D0,$T2);
+	&pmuludq	($T1,&QWP(16*3,$base));		# s4*h3
+	 &movdqa	($MASK,&QWP(64,"ebx"));
+	&paddq		($D1,$T0);
+	&paddq		($D2,$T1);
+}
+	&pmuladd	(sub {	my ($reg,$i)=@_;
+				&movdqa ($reg,&QWP(16*$i,"esp"));
+			     },"edx");
+
+sub lazy_reduction {
+	################################################################
+	# lazy reduction as discussed in "NEON crypto" by D.J. Bernstein
+	# and P. Schwabe
+
+	 &movdqa	($T0,$D3);
+	 &pand		($D3,$MASK);
+	 &psrlq		($T0,26);
+	 &paddq		($T0,$D4);			# h3 -> h4
+	&movdqa		($T1,$D0);
+	&pand		($D0,$MASK);
+	&psrlq		($T1,26);
+	 &movdqa	($D4,$T0);
+	&paddq		($T1,$D1);			# h0 -> h1
+	 &psrlq		($T0,26);
+	 &pand		($D4,$MASK);
+	&movdqa		($D1,$T1);
+	&psrlq		($T1,26);
+	 &paddd		($D0,$T0);			# favour paddd when
+							# possible, because
+							# paddq is "broken"
+							# on Atom
+	&pand		($D1,$MASK);
+	&paddq		($T1,$D2);			# h1 -> h2
+	 &psllq		($T0,2);
+	&movdqa		($D2,$T1);
+	&psrlq		($T1,26);
+	 &paddd		($T0,$D0);			# h4 -> h0
+	&pand		($D2,$MASK);
+	&paddd		($T1,$D3);			# h2 -> h3
+	 &movdqa	($D0,$T0);
+	 &psrlq		($T0,26);
+	&movdqa		($D3,$T1);
+	&psrlq		($T1,26);
+	 &pand		($D0,$MASK);
+	 &paddd		($D1,$T0);			# h0 -> h1
+	&pand		($D3,$MASK);
+	&paddd		($D4,$T1);			# h3 -> h4
+}
+	&lazy_reduction	();
+
+	&dec		("ecx");
+	&jz		(&label("square_break"));
+
+	&punpcklqdq	($D0,&QWP(16*0,"esp"));		# 0:r^1:0:r^2
+	&punpcklqdq	($D1,&QWP(16*1,"esp"));
+	&punpcklqdq	($D2,&QWP(16*2,"esp"));
+	&punpcklqdq	($D3,&QWP(16*3,"esp"));
+	&punpcklqdq	($D4,&QWP(16*4,"esp"));
+	&jmp		(&label("square"));
+
+&set_label("square_break");
+	&psllq		($D0,32);			# -> r^3:0:r^4:0
+	&psllq		($D1,32);
+	&psllq		($D2,32);
+	&psllq		($D3,32);
+	&psllq		($D4,32);
+	&por		($D0,&QWP(16*0,"esp"));		# r^3:r^1:r^4:r^2
+	&por		($D1,&QWP(16*1,"esp"));
+	&por		($D2,&QWP(16*2,"esp"));
+	&por		($D3,&QWP(16*3,"esp"));
+	&por		($D4,&QWP(16*4,"esp"));
+
+	&pshufd		($D0,$D0,0b10001101);		# -> r^1:r^2:r^3:r^4
+	&pshufd		($D1,$D1,0b10001101);
+	&pshufd		($D2,$D2,0b10001101);
+	&pshufd		($D3,$D3,0b10001101);
+	&pshufd		($D4,$D4,0b10001101);
+
+	&movdqu		(&QWP(16*0,"edi"),$D0);		# save the table
+	&movdqu		(&QWP(16*1,"edi"),$D1);
+	&movdqu		(&QWP(16*2,"edi"),$D2);
+	&movdqu		(&QWP(16*3,"edi"),$D3);
+	&movdqu		(&QWP(16*4,"edi"),$D4);
+
+	&movdqa		($T1,$D1);
+	&movdqa		($T0,$D2);
+	&pslld		($T1,2);
+	&pslld		($T0,2);
+	&paddd		($T1,$D1);			# *5
+	&paddd		($T0,$D2);			# *5
+	&movdqu		(&QWP(16*5,"edi"),$T1);
+	&movdqu		(&QWP(16*6,"edi"),$T0);
+	&movdqa		($T1,$D3);
+	&movdqa		($T0,$D4);
+	&pslld		($T1,2);
+	&pslld		($T0,2);
+	&paddd		($T1,$D3);			# *5
+	&paddd		($T0,$D4);			# *5
+	&movdqu		(&QWP(16*7,"edi"),$T1);
+	&movdqu		(&QWP(16*8,"edi"),$T0);
+
+	&mov		("esp","ebp");
+	&lea		("edi",&DWP(-16*3,"edi"));	# size de-optimization
+	&ret		();
+&function_end_B("_poly1305_init_sse2");
+
+&align	(32);
+&function_begin("_poly1305_blocks_sse2");
+	&mov	("edi",&wparam(0));			# ctx
+	&mov	("esi",&wparam(1));			# inp
+	&mov	("ecx",&wparam(2));			# len
+
+	&mov	("eax",&DWP(4*5,"edi"));		# is_base2_26
+	&and	("ecx",-16);
+	&jz	(&label("nodata"));
+	&cmp	("ecx",64);
+	&jae	(&label("enter_sse2"));
+	&test	("eax","eax");				# is_base2_26?
+	&jz	(&label("enter_blocks"));
+
+&set_label("enter_sse2",16);
+	&call	(&label("pic_point"));
+&set_label("pic_point");
+	&blindpop("ebx");
+	&lea	("ebx",&DWP(&label("const_sse2")."-".&label("pic_point"),"ebx"));
+
+	&test	("eax","eax");				# is_base2_26?
+	&jnz	(&label("base2_26"));
+
+	&call	("_poly1305_init_sse2");
+
+	################################################# base 2^32 -> base 2^26
+	&mov	("eax",&DWP(0,"edi"));
+	&mov	("ecx",&DWP(3,"edi"));
+	&mov	("edx",&DWP(6,"edi"));
+	&mov	("esi",&DWP(9,"edi"));
+	&mov	("ebp",&DWP(13,"edi"));
+	&mov	(&DWP(4*5,"edi"),1);			# is_base2_26
+
+	&shr	("ecx",2);
+	&and	("eax",0x3ffffff);
+	&shr	("edx",4);
+	&and	("ecx",0x3ffffff);
+	&shr	("esi",6);
+	&and	("edx",0x3ffffff);
+
+	&movd	($D0,"eax");
+	&movd	($D1,"ecx");
+	&movd	($D2,"edx");
+	&movd	($D3,"esi");
+	&movd	($D4,"ebp");
+
+	&mov	("esi",&wparam(1));			# [reload] inp
+	&mov	("ecx",&wparam(2));			# [reload] len
+	&jmp	(&label("base2_32"));
+
+&set_label("base2_26",16);
+	&movd	($D0,&DWP(4*0,"edi"));			# load hash value
+	&movd	($D1,&DWP(4*1,"edi"));
+	&movd	($D2,&DWP(4*2,"edi"));
+	&movd	($D3,&DWP(4*3,"edi"));
+	&movd	($D4,&DWP(4*4,"edi"));
+	&movdqa	($MASK,&QWP(64,"ebx"));
+
+&set_label("base2_32");
+	&mov	("eax",&wparam(3));			# padbit
+	&mov	("ebp","esp");
+
+	&sub	("esp",16*(5+5+5+9+9));
+	&and	("esp",-16);
+
+	&lea	("edi",&DWP(16*3,"edi"));		# size optimization
+	&shl	("eax",24);				# padbit
+
+	&test	("ecx",31);
+	&jz	(&label("even"));
+
+	################################################################
+	# process single block, with SSE2, because it's still faster
+	# even though half of result is discarded
+
+	&movdqu		($T1,&QWP(0,"esi"));		# input
+	&lea		("esi",&DWP(16,"esi"));
+
+	&movdqa		($T0,$T1);			# -> base 2^26 ...
+	&pand		($T1,$MASK);
+	&paddd		($D0,$T1);			# ... and accumuate
+
+	&movdqa		($T1,$T0);
+	&psrlq		($T0,26);
+	&psrldq		($T1,6);
+	&pand		($T0,$MASK);
+	&paddd		($D1,$T0);
+
+	&movdqa		($T0,$T1);
+	&psrlq		($T1,4);
+	&pand		($T1,$MASK);
+	&paddd		($D2,$T1);
+
+	&movdqa		($T1,$T0);
+	&psrlq		($T0,30);
+	&pand		($T0,$MASK);
+	&psrldq		($T1,7);
+	&paddd		($D3,$T0);
+
+	&movd		($T0,"eax");			# padbit
+	&paddd		($D4,$T1);
+	 &movd		($T1,&DWP(16*0+12,"edi"));	# r0
+	&paddd		($D4,$T0);
+
+	&movdqa		(&QWP(16*0,"esp"),$D0);
+	&movdqa		(&QWP(16*1,"esp"),$D1);
+	&movdqa		(&QWP(16*2,"esp"),$D2);
+	&movdqa		(&QWP(16*3,"esp"),$D3);
+	&movdqa		(&QWP(16*4,"esp"),$D4);
+
+	################################################################
+	# d4 = h4*r0 + h3*r1   + h2*r2   + h1*r3   + h0*r4
+	# d3 = h3*r0 + h2*r1   + h1*r2   + h0*r3   + h4*5*r4
+	# d2 = h2*r0 + h1*r1   + h0*r2   + h4*5*r3 + h3*5*r4
+	# d1 = h1*r0 + h0*r1   + h4*5*r2 + h3*5*r3 + h2*5*r4
+	# d0 = h0*r0 + h4*5*r1 + h3*5*r2 + h2*5*r3 + h1*5*r4
+
+	&pmuludq	($D0,$T1);			# h4*r0
+	&pmuludq	($D1,$T1);			# h3*r0
+	&pmuludq	($D2,$T1);			# h2*r0
+	 &movd		($T0,&DWP(16*1+12,"edi"));	# r1
+	&pmuludq	($D3,$T1);			# h1*r0
+	&pmuludq	($D4,$T1);			# h0*r0
+
+	&pmuladd	(sub {	my ($reg,$i)=@_;
+				&movd ($reg,&DWP(16*$i+12,"edi"));
+			     });
+
+	&lazy_reduction	();
+
+	&sub		("ecx",16);
+	&jz		(&label("done"));
+
+&set_label("even");
+	&lea		("edx",&DWP(16*(5+5+5+9),"esp"));# size optimization
+	&lea		("eax",&DWP(-16*2,"esi"));
+	&sub		("ecx",64);
+
+	################################################################
+	# expand and copy pre-calculated table to stack
+
+	&movdqu		($T0,&QWP(16*0,"edi"));		# r^1:r^2:r^3:r^4
+	&pshufd		($T1,$T0,0b01000100);		# duplicate r^3:r^4
+	&cmovb		("esi","eax");
+	&pshufd		($T0,$T0,0b11101110);		# duplicate r^1:r^2
+	&movdqa		(&QWP(16*0,"edx"),$T1);
+	&lea		("eax",&DWP(16*10,"esp"));
+	&movdqu		($T1,&QWP(16*1,"edi"));
+	&movdqa		(&QWP(16*(0-9),"edx"),$T0);
+	&pshufd		($T0,$T1,0b01000100);
+	&pshufd		($T1,$T1,0b11101110);
+	&movdqa		(&QWP(16*1,"edx"),$T0);
+	&movdqu		($T0,&QWP(16*2,"edi"));
+	&movdqa		(&QWP(16*(1-9),"edx"),$T1);
+	&pshufd		($T1,$T0,0b01000100);
+	&pshufd		($T0,$T0,0b11101110);
+	&movdqa		(&QWP(16*2,"edx"),$T1);
+	&movdqu		($T1,&QWP(16*3,"edi"));
+	&movdqa		(&QWP(16*(2-9),"edx"),$T0);
+	&pshufd		($T0,$T1,0b01000100);
+	&pshufd		($T1,$T1,0b11101110);
+	&movdqa		(&QWP(16*3,"edx"),$T0);
+	&movdqu		($T0,&QWP(16*4,"edi"));
+	&movdqa		(&QWP(16*(3-9),"edx"),$T1);
+	&pshufd		($T1,$T0,0b01000100);
+	&pshufd		($T0,$T0,0b11101110);
+	&movdqa		(&QWP(16*4,"edx"),$T1);
+	&movdqu		($T1,&QWP(16*5,"edi"));
+	&movdqa		(&QWP(16*(4-9),"edx"),$T0);
+	&pshufd		($T0,$T1,0b01000100);
+	&pshufd		($T1,$T1,0b11101110);
+	&movdqa		(&QWP(16*5,"edx"),$T0);
+	&movdqu		($T0,&QWP(16*6,"edi"));
+	&movdqa		(&QWP(16*(5-9),"edx"),$T1);
+	&pshufd		($T1,$T0,0b01000100);
+	&pshufd		($T0,$T0,0b11101110);
+	&movdqa		(&QWP(16*6,"edx"),$T1);
+	&movdqu		($T1,&QWP(16*7,"edi"));
+	&movdqa		(&QWP(16*(6-9),"edx"),$T0);
+	&pshufd		($T0,$T1,0b01000100);
+	&pshufd		($T1,$T1,0b11101110);
+	&movdqa		(&QWP(16*7,"edx"),$T0);
+	&movdqu		($T0,&QWP(16*8,"edi"));
+	&movdqa		(&QWP(16*(7-9),"edx"),$T1);
+	&pshufd		($T1,$T0,0b01000100);
+	&pshufd		($T0,$T0,0b11101110);
+	&movdqa		(&QWP(16*8,"edx"),$T1);
+	&movdqa		(&QWP(16*(8-9),"edx"),$T0);
+
+sub load_input {
+my ($inpbase,$offbase)=@_;
+
+	&movdqu		($T0,&QWP($inpbase+0,"esi"));	# load input
+	&movdqu		($T1,&QWP($inpbase+16,"esi"));
+	&lea		("esi",&DWP(16*2,"esi"));
+
+	&movdqa		(&QWP($offbase+16*2,"esp"),$D2);
+	&movdqa		(&QWP($offbase+16*3,"esp"),$D3);
+	&movdqa		(&QWP($offbase+16*4,"esp"),$D4);
+
+	&movdqa		($D2,$T0);			# splat input
+	&movdqa		($D3,$T1);
+	&psrldq		($D2,6);
+	&psrldq		($D3,6);
+	&movdqa		($D4,$T0);
+	&punpcklqdq	($D2,$D3);			# 2:3
+	&punpckhqdq	($D4,$T1);			# 4
+	&punpcklqdq	($T0,$T1);			# 0:1
+
+	&movdqa		($D3,$D2);
+	&psrlq		($D2,4);
+	&psrlq		($D3,30);
+	&movdqa		($T1,$T0);
+	&psrlq		($D4,40);			# 4
+	&psrlq		($T1,26);
+	&pand		($T0,$MASK);			# 0
+	&pand		($T1,$MASK);			# 1
+	&pand		($D2,$MASK);			# 2
+	&pand		($D3,$MASK);			# 3
+	&por		($D4,&QWP(0,"ebx"));		# padbit, yes, always
+
+	&movdqa		(&QWP($offbase+16*0,"esp"),$D0)	if ($offbase);
+	&movdqa		(&QWP($offbase+16*1,"esp"),$D1)	if ($offbase);
+}
+	&load_input	(16*2,16*5);
+
+	&jbe		(&label("skip_loop"));
+	&jmp		(&label("loop"));
+
+&set_label("loop",32);
+	################################################################
+	# ((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
+	#   \___________________/ \____________________/
+	################################################################
+
+	&movdqa		($T2,&QWP(16*(0-9),"edx"));	# r0^2
+	&movdqa		(&QWP(16*1,"eax"),$T1);
+	&movdqa		(&QWP(16*2,"eax"),$D2);
+	&movdqa		(&QWP(16*3,"eax"),$D3);
+	&movdqa		(&QWP(16*4,"eax"),$D4);
+
+	################################################################
+	# d4 = h4*r0 + h0*r4   + h1*r3   + h2*r2   + h3*r1
+	# d3 = h3*r0 + h0*r3   + h1*r2   + h2*r1   + h4*5*r4
+	# d2 = h2*r0 + h0*r2   + h1*r1   + h3*5*r4 + h4*5*r3
+	# d1 = h1*r0 + h0*r1   + h2*5*r4 + h3*5*r3 + h4*5*r2
+	# d0 = h0*r0 + h1*5*r4 + h2*5*r3 + h3*5*r2 + h4*5*r1
+
+	&movdqa		($D1,$T0);
+	&pmuludq	($T0,$T2);			# h0*r0
+	&movdqa		($D0,$T1);
+	&pmuludq	($T1,$T2);			# h1*r0
+	&pmuludq	($D2,$T2);			# h2*r0
+	&pmuludq	($D3,$T2);			# h3*r0
+	&pmuludq	($D4,$T2);			# h4*r0
+
+sub pmuladd_alt {
+my $addr = shift;
+
+	&pmuludq	($D0,&$addr(8));		# h1*s4
+	&movdqa		($T2,$D1);
+	&pmuludq	($D1,&$addr(1));		# h0*r1
+	&paddq		($D0,$T0);
+	&movdqa		($T0,$T2);
+	&pmuludq	($T2,&$addr(2));		# h0*r2
+	&paddq		($D1,$T1);
+	&movdqa		($T1,$T0);
+	&pmuludq	($T0,&$addr(3));		# h0*r3
+	&paddq		($D2,$T2);
+	 &movdqa	($T2,&QWP(16*1,"eax"));		# pull h1
+	&pmuludq	($T1,&$addr(4));		# h0*r4
+	&paddq		($D3,$T0);
+
+	&movdqa		($T0,$T2);
+	&pmuludq	($T2,&$addr(1));		# h1*r1
+	 &paddq		($D4,$T1);
+	&movdqa		($T1,$T0);
+	&pmuludq	($T0,&$addr(2));		# h1*r2
+	&paddq		($D2,$T2);
+	&movdqa		($T2,&QWP(16*2,"eax"));		# pull h2
+	&pmuludq	($T1,&$addr(3));		# h1*r3
+	&paddq		($D3,$T0);
+	&movdqa		($T0,$T2);
+	&pmuludq	($T2,&$addr(7));		# h2*s3
+	&paddq		($D4,$T1);
+	&movdqa		($T1,$T0);
+	&pmuludq	($T0,&$addr(8));		# h2*s4
+	&paddq		($D0,$T2);
+
+	&movdqa		($T2,$T1);
+	&pmuludq	($T1,&$addr(1));		# h2*r1
+	 &paddq		($D1,$T0);
+	&movdqa		($T0,&QWP(16*3,"eax"));		# pull h3
+	&pmuludq	($T2,&$addr(2));		# h2*r2
+	&paddq		($D3,$T1);
+	&movdqa		($T1,$T0);
+	&pmuludq	($T0,&$addr(6));		# h3*s2
+	&paddq		($D4,$T2);
+	&movdqa		($T2,$T1);
+	&pmuludq	($T1,&$addr(7));		# h3*s3
+	&paddq		($D0,$T0);
+	&movdqa		($T0,$T2);
+	&pmuludq	($T2,&$addr(8));		# h3*s4
+	&paddq		($D1,$T1);
+
+	&movdqa		($T1,&QWP(16*4,"eax"));		# pull h4
+	&pmuludq	($T0,&$addr(1));		# h3*r1
+	 &paddq		($D2,$T2);
+	&movdqa		($T2,$T1);
+	&pmuludq	($T1,&$addr(8));		# h4*s4
+	&paddq		($D4,$T0);
+	&movdqa		($T0,$T2);
+	&pmuludq	($T2,&$addr(5));		# h4*s1
+	&paddq		($D3,$T1);
+	&movdqa		($T1,$T0);
+	&pmuludq	($T0,&$addr(6));		# h4*s2
+	&paddq		($D0,$T2);
+	 &movdqa	($MASK,&QWP(64,"ebx"));
+	&pmuludq	($T1,&$addr(7));		# h4*s3
+	&paddq		($D1,$T0);
+	&paddq		($D2,$T1);
+}
+	&pmuladd_alt	(sub {	my $i=shift; &QWP(16*($i-9),"edx");	});
+
+	&load_input	(-16*2,0);
+	&lea		("eax",&DWP(-16*2,"esi"));
+	&sub		("ecx",64);
+
+	&paddd		($T0,&QWP(16*(5+0),"esp"));	# add hash value
+	&paddd		($T1,&QWP(16*(5+1),"esp"));
+	&paddd		($D2,&QWP(16*(5+2),"esp"));
+	&paddd		($D3,&QWP(16*(5+3),"esp"));
+	&paddd		($D4,&QWP(16*(5+4),"esp"));
+
+	&cmovb		("esi","eax");
+	&lea		("eax",&DWP(16*10,"esp"));
+
+	&movdqa		($T2,&QWP(16*0,"edx"));		# r0^4
+	&movdqa		(&QWP(16*1,"esp"),$D1);
+	&movdqa		(&QWP(16*1,"eax"),$T1);
+	&movdqa		(&QWP(16*2,"eax"),$D2);
+	&movdqa		(&QWP(16*3,"eax"),$D3);
+	&movdqa		(&QWP(16*4,"eax"),$D4);
+
+	################################################################
+	# d4 += h4*r0 + h0*r4   + h1*r3   + h2*r2   + h3*r1
+	# d3 += h3*r0 + h0*r3   + h1*r2   + h2*r1   + h4*5*r4