1238384Sjkim#!/usr/bin/env perl
2238384Sjkim#
3238384Sjkim# ====================================================================
4238384Sjkim# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
5238384Sjkim# project. The module is, however, dual licensed under OpenSSL and
6238384Sjkim# CRYPTOGAMS licenses depending on where you obtain it. For further
7238384Sjkim# details see http://www.openssl.org/~appro/cryptogams/.
8238384Sjkim# ====================================================================
9238384Sjkim#
10238384Sjkim# May 2011
11238384Sjkim#
12238384Sjkim# The module implements bn_GF2m_mul_2x2 polynomial multiplication used
13238384Sjkim# in bn_gf2m.c. It's kind of low-hanging mechanical port from C for
14238384Sjkim# the time being... gcc 4.3 appeared to generate poor code, therefore
15238384Sjkim# the effort. And indeed, the module delivers 55%-90%(*) improvement
16238384Sjkim# on haviest ECDSA verify and ECDH benchmarks for 163- and 571-bit
17238384Sjkim# key lengths on z990, 30%-55%(*) - on z10, and 70%-110%(*) - on z196.
18238384Sjkim# This is for 64-bit build. In 32-bit "highgprs" case improvement is
19238384Sjkim# even higher, for example on z990 it was measured 80%-150%. ECDSA
20238384Sjkim# sign is modest 9%-12% faster. Keep in mind that these coefficients
21238384Sjkim# are not ones for bn_GF2m_mul_2x2 itself, as not all CPU time is
22238384Sjkim# burnt in it...
23238384Sjkim#
24238384Sjkim# (*)	gcc 4.1 was observed to deliver better results than gcc 4.3,
25238384Sjkim#	so that improvement coefficients can vary from one specific
26238384Sjkim#	setup to another.
27238384Sjkim
28238384Sjkim$flavour = shift;
29238384Sjkim
30238384Sjkimif ($flavour =~ /3[12]/) {
31238384Sjkim        $SIZE_T=4;
32238384Sjkim        $g="";
33238384Sjkim} else {
34238384Sjkim        $SIZE_T=8;
35238384Sjkim        $g="g";
36238384Sjkim}
37238384Sjkim
38238384Sjkimwhile (($output=shift) && ($output!~/^\w[\w\-]*\.\w+$/)) {}
39238384Sjkimopen STDOUT,">$output";
40238384Sjkim
41238384Sjkim$stdframe=16*$SIZE_T+4*8;
42238384Sjkim
43238384Sjkim$rp="%r2";
44238384Sjkim$a1="%r3";
45238384Sjkim$a0="%r4";
46238384Sjkim$b1="%r5";
47238384Sjkim$b0="%r6";
48238384Sjkim
49238384Sjkim$ra="%r14";
50238384Sjkim$sp="%r15";
51238384Sjkim
52238384Sjkim@T=("%r0","%r1");
53238384Sjkim@i=("%r12","%r13");
54238384Sjkim
55238384Sjkim($a1,$a2,$a4,$a8,$a12,$a48)=map("%r$_",(6..11));
56238384Sjkim($lo,$hi,$b)=map("%r$_",(3..5)); $a=$lo; $mask=$a8;
57238384Sjkim
58238384Sjkim$code.=<<___;
59238384Sjkim.text
60238384Sjkim
61238384Sjkim.type	_mul_1x1,\@function
62238384Sjkim.align	16
63238384Sjkim_mul_1x1:
64238384Sjkim	lgr	$a1,$a
65238384Sjkim	sllg	$a2,$a,1
66238384Sjkim	sllg	$a4,$a,2
67238384Sjkim	sllg	$a8,$a,3
68238384Sjkim
69238384Sjkim	srag	$lo,$a1,63			# broadcast 63rd bit
70238384Sjkim	nihh	$a1,0x1fff
71238384Sjkim	srag	@i[0],$a2,63			# broadcast 62nd bit
72238384Sjkim	nihh	$a2,0x3fff
73238384Sjkim	srag	@i[1],$a4,63			# broadcast 61st bit
74238384Sjkim	nihh	$a4,0x7fff
75238384Sjkim	ngr	$lo,$b
76238384Sjkim	ngr	@i[0],$b
77238384Sjkim	ngr	@i[1],$b
78238384Sjkim
79238384Sjkim	lghi	@T[0],0
80238384Sjkim	lgr	$a12,$a1
81238384Sjkim	stg	@T[0],`$stdframe+0*8`($sp)	# tab[0]=0
82238384Sjkim	xgr	$a12,$a2
83238384Sjkim	stg	$a1,`$stdframe+1*8`($sp)	# tab[1]=a1
84238384Sjkim	 lgr	$a48,$a4
85238384Sjkim	stg	$a2,`$stdframe+2*8`($sp)	# tab[2]=a2
86238384Sjkim	 xgr	$a48,$a8
87238384Sjkim	stg	$a12,`$stdframe+3*8`($sp)	# tab[3]=a1^a2
88238384Sjkim	 xgr	$a1,$a4
89238384Sjkim
90238384Sjkim	stg	$a4,`$stdframe+4*8`($sp)	# tab[4]=a4
91238384Sjkim	xgr	$a2,$a4
92238384Sjkim	stg	$a1,`$stdframe+5*8`($sp)	# tab[5]=a1^a4
93238384Sjkim	xgr	$a12,$a4
94238384Sjkim	stg	$a2,`$stdframe+6*8`($sp)	# tab[6]=a2^a4
95238384Sjkim	 xgr	$a1,$a48
96238384Sjkim	stg	$a12,`$stdframe+7*8`($sp)	# tab[7]=a1^a2^a4
97238384Sjkim	 xgr	$a2,$a48
98238384Sjkim
99238384Sjkim	stg	$a8,`$stdframe+8*8`($sp)	# tab[8]=a8
100238384Sjkim	xgr	$a12,$a48
101238384Sjkim	stg	$a1,`$stdframe+9*8`($sp)	# tab[9]=a1^a8
102238384Sjkim	 xgr	$a1,$a4
103238384Sjkim	stg	$a2,`$stdframe+10*8`($sp)	# tab[10]=a2^a8
104238384Sjkim	 xgr	$a2,$a4
105238384Sjkim	stg	$a12,`$stdframe+11*8`($sp)	# tab[11]=a1^a2^a8
106238384Sjkim
107238384Sjkim	xgr	$a12,$a4
108238384Sjkim	stg	$a48,`$stdframe+12*8`($sp)	# tab[12]=a4^a8
109238384Sjkim	 srlg	$hi,$lo,1
110238384Sjkim	stg	$a1,`$stdframe+13*8`($sp)	# tab[13]=a1^a4^a8
111238384Sjkim	 sllg	$lo,$lo,63
112238384Sjkim	stg	$a2,`$stdframe+14*8`($sp)	# tab[14]=a2^a4^a8
113238384Sjkim	 srlg	@T[0],@i[0],2
114238384Sjkim	stg	$a12,`$stdframe+15*8`($sp)	# tab[15]=a1^a2^a4^a8
115238384Sjkim
116238384Sjkim	lghi	$mask,`0xf<<3`
117238384Sjkim	sllg	$a1,@i[0],62
118238384Sjkim	 sllg	@i[0],$b,3
119238384Sjkim	srlg	@T[1],@i[1],3
120238384Sjkim	 ngr	@i[0],$mask
121238384Sjkim	sllg	$a2,@i[1],61
122238384Sjkim	 srlg	@i[1],$b,4-3
123238384Sjkim	xgr	$hi,@T[0]
124238384Sjkim	 ngr	@i[1],$mask
125238384Sjkim	xgr	$lo,$a1
126238384Sjkim	xgr	$hi,@T[1]
127238384Sjkim	xgr	$lo,$a2
128238384Sjkim
129238384Sjkim	xg	$lo,$stdframe(@i[0],$sp)
130238384Sjkim	srlg	@i[0],$b,8-3
131238384Sjkim	ngr	@i[0],$mask
132238384Sjkim___
133238384Sjkimfor($n=1;$n<14;$n++) {
134238384Sjkim$code.=<<___;
135238384Sjkim	lg	@T[1],$stdframe(@i[1],$sp)
136238384Sjkim	srlg	@i[1],$b,`($n+2)*4`-3
137238384Sjkim	sllg	@T[0],@T[1],`$n*4`
138238384Sjkim	ngr	@i[1],$mask
139238384Sjkim	srlg	@T[1],@T[1],`64-$n*4`
140238384Sjkim	xgr	$lo,@T[0]
141238384Sjkim	xgr	$hi,@T[1]
142238384Sjkim___
143238384Sjkim	push(@i,shift(@i)); push(@T,shift(@T));
144238384Sjkim}
145238384Sjkim$code.=<<___;
146238384Sjkim	lg	@T[1],$stdframe(@i[1],$sp)
147238384Sjkim	sllg	@T[0],@T[1],`$n*4`
148238384Sjkim	srlg	@T[1],@T[1],`64-$n*4`
149238384Sjkim	xgr	$lo,@T[0]
150238384Sjkim	xgr	$hi,@T[1]
151238384Sjkim
152238384Sjkim	lg	@T[0],$stdframe(@i[0],$sp)
153238384Sjkim	sllg	@T[1],@T[0],`($n+1)*4`
154238384Sjkim	srlg	@T[0],@T[0],`64-($n+1)*4`
155238384Sjkim	xgr	$lo,@T[1]
156238384Sjkim	xgr	$hi,@T[0]
157238384Sjkim
158238384Sjkim	br	$ra
159238384Sjkim.size	_mul_1x1,.-_mul_1x1
160238384Sjkim
161238384Sjkim.globl	bn_GF2m_mul_2x2
162238384Sjkim.type	bn_GF2m_mul_2x2,\@function
163238384Sjkim.align	16
164238384Sjkimbn_GF2m_mul_2x2:
165238384Sjkim	stm${g}	%r3,%r15,3*$SIZE_T($sp)
166238384Sjkim
167238384Sjkim	lghi	%r1,-$stdframe-128
168238384Sjkim	la	%r0,0($sp)
169238384Sjkim	la	$sp,0(%r1,$sp)			# alloca
170238384Sjkim	st${g}	%r0,0($sp)			# back chain
171238384Sjkim___
172238384Sjkimif ($SIZE_T==8) {
173238384Sjkimmy @r=map("%r$_",(6..9));
174238384Sjkim$code.=<<___;
175238384Sjkim	bras	$ra,_mul_1x1			# a1�b1
176238384Sjkim	stmg	$lo,$hi,16($rp)
177238384Sjkim
178238384Sjkim	lg	$a,`$stdframe+128+4*$SIZE_T`($sp)
179238384Sjkim	lg	$b,`$stdframe+128+6*$SIZE_T`($sp)
180238384Sjkim	bras	$ra,_mul_1x1			# a0�b0
181238384Sjkim	stmg	$lo,$hi,0($rp)
182238384Sjkim
183238384Sjkim	lg	$a,`$stdframe+128+3*$SIZE_T`($sp)
184238384Sjkim	lg	$b,`$stdframe+128+5*$SIZE_T`($sp)
185238384Sjkim	xg	$a,`$stdframe+128+4*$SIZE_T`($sp)
186238384Sjkim	xg	$b,`$stdframe+128+6*$SIZE_T`($sp)
187238384Sjkim	bras	$ra,_mul_1x1			# (a0+a1)�(b0+b1)
188238384Sjkim	lmg	@r[0],@r[3],0($rp)
189238384Sjkim
190238384Sjkim	xgr	$lo,$hi
191238384Sjkim	xgr	$hi,@r[1]
192238384Sjkim	xgr	$lo,@r[0]
193238384Sjkim	xgr	$hi,@r[2]
194238384Sjkim	xgr	$lo,@r[3]
195238384Sjkim	xgr	$hi,@r[3]
196238384Sjkim	xgr	$lo,$hi
197238384Sjkim	stg	$hi,16($rp)
198238384Sjkim	stg	$lo,8($rp)
199238384Sjkim___
200238384Sjkim} else {
201238384Sjkim$code.=<<___;
202238384Sjkim	sllg	%r3,%r3,32
203238384Sjkim	sllg	%r5,%r5,32
204238384Sjkim	or	%r3,%r4
205238384Sjkim	or	%r5,%r6
206238384Sjkim	bras	$ra,_mul_1x1
207238384Sjkim	rllg	$lo,$lo,32
208238384Sjkim	rllg	$hi,$hi,32
209238384Sjkim	stmg	$lo,$hi,0($rp)
210238384Sjkim___
211238384Sjkim}
212238384Sjkim$code.=<<___;
213238384Sjkim	lm${g}	%r6,%r15,`$stdframe+128+6*$SIZE_T`($sp)
214238384Sjkim	br	$ra
215238384Sjkim.size	bn_GF2m_mul_2x2,.-bn_GF2m_mul_2x2
216238384Sjkim.string	"GF(2^m) Multiplication for s390x, CRYPTOGAMS by <appro\@openssl.org>"
217238384Sjkim___
218238384Sjkim
219238384Sjkim$code =~ s/\`([^\`]*)\`/eval($1)/gem;
220238384Sjkimprint $code;
221238384Sjkimclose STDOUT;
222