1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
|
#!/usr/bin/env perl
# Copyright 2017-2018 The OpenSSL Project Authors. All Rights Reserved.
#
# Licensed under the Apache License 2.0 (the "License"). You may not use
# this file except in compliance with the License. You can obtain a copy
# in the file LICENSE in the source distribution or at
# https://www.openssl.org/source/license.html
#
# ====================================================================
# 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/.
# ====================================================================
#
# Keccak-1600 for s390x.
#
# June 2017.
#
# Below code is [lane complementing] KECCAK_2X implementation (see
# sha/keccak1600.c) with C[5] and D[5] held in register bank. Though
# instead of actually unrolling the loop pair-wise I simply flip
# pointers to T[][] and A[][] at the end of round. Since number of
# rounds is even, last round writes to A[][] and everything works out.
# In the nutshell it's transliteration of x86_64 module, because both
# architectures have similar capabilities/limitations. Performance
# measurement is problematic as I don't have access to an idle system.
# It looks like z13 processes one byte [out of long message] in ~14
# cycles. At least the result is consistent with estimate based on
# amount of instruction and assumed instruction issue rate. It's ~2.5x
# faster than compiler-generated code.
# $output is the last argument if it looks like a file (it has an extension)
# $flavour is the first argument if it doesn't look like a file
$output = $#ARGV >= 0 && $ARGV[$#ARGV] =~ m|\.\w+$| ? pop : undef;
$flavour = $#ARGV >= 0 && $ARGV[0] !~ m|\.| ? shift : undef;
if ($flavour =~ /3[12]/) {
$SIZE_T=4;
$g="";
} else {
$SIZE_T=8;
$g="g";
}
$output and open STDOUT,">$output";
my @A = map([ 8*$_, 8*($_+1), 8*($_+2), 8*($_+3), 8*($_+4) ], (0,5,10,15,20));
my @C = map("%r$_",(0,1,5..7));
my @D = map("%r$_",(8..12));
my @T = map("%r$_",(13..14));
my ($src,$dst,$iotas) = map("%r$_",(2..4));
my $sp = "%r15";
$stdframe=16*$SIZE_T+4*8;
$frame=$stdframe+25*8;
my @rhotates = ([ 0, 1, 62, 28, 27 ],
[ 36, 44, 6, 55, 20 ],
[ 3, 10, 43, 25, 39 ],
[ 41, 45, 15, 21, 8 ],
[ 18, 2, 61, 56, 14 ]);
{ my @C = @C; # copy, because we mess them up...
my @D = @D;
$code.=<<___;
.text
.type __KeccakF1600,\@function
.align 32
__KeccakF1600:
st${g} %r14,$SIZE_T*14($sp)
lg @C[0],$A[4][0]($src)
lg @C[1],$A[4][1]($src)
lg @C[2],$A[4][2]($src)
lg @C[3],$A[4][3]($src)
lg @C[4],$A[4][4]($src)
larl $iotas,iotas
j .Loop
.align 16
.Loop:
lg @D[0],$A[0][0]($src)
lg @D[1],$A[1][1]($src)
lg @D[2],$A[2][2]($src)
lg @D[3],$A[3][3]($src)
xgr @C[0],@D[0]
xg @C[1],$A[0][1]($src)
xg @C[2],$A[0][2]($src)
xg @C[3],$A[0][3]($src)
lgr @D[4],@C[4]
xg @C[4],$A[0][4]($src)
xg @C[0],$A[1][0]($src)
xgr @C[1],@D[1]
xg @C[2],$A[1][2]($src)
xg @C[3],$A[1][3]($src)
xg @C[4],$A[1][4]($src)
xg @C[0],$A[2][0]($src)
xg @C[1],$A[2][1]($src)
xgr @C[2],@D[2]
xg @C[3],$A[2][3]($src)
xg @C[4],$A[2][4]($src)
xg @C[0],$A[3][0]($src)
xg @C[1],$A[3][1]($src)
xg @C[2],$A[3][2]($src)
xgr @C[3],@D[3]
xg @C[4],$A[3][4]($src)
lgr @T[0],@C[2]
rllg @C[2],@C[2],1
xgr @C[2],@C[0] # D[1] = ROL64(C[2], 1) ^ C[0]
rllg @C[0],@C[0],1
xgr @C[0],@C[3] # D[4] = ROL64(C[0], 1) ^ C[3]
rllg @C[3],@C[3],1
xgr @C[3],@C[1] # D[2] = ROL64(C[3], 1) ^ C[1]
rllg @C[1],@C[1],1
xgr @C[1],@C[4] # D[0] = ROL64(C[1], 1) ^ C[4]
rllg @C[4],@C[4],1
xgr @C[4],@T[0] # D[3] = ROL64(C[4], 1) ^ C[2]
___
(@D[0..4], @C) = (@C[1..4,0], @D);
$code.=<<___;
xgr @C[1],@D[1]
xgr @C[2],@D[2]
xgr @C[3],@D[3]
rllg @C[1],@C[1],$rhotates[1][1]
xgr @C[4],@D[4]
rllg @C[2],@C[2],$rhotates[2][2]
xgr @C[0],@D[0]
lgr @T[0],@C[1]
ogr @C[1],@C[2]
rllg @C[3],@C[3],$rhotates[3][3]
xgr @C[1],@C[0] # C[0] ^ ( C[1] | C[2])
rllg @C[4],@C[4],$rhotates[4][4]
xg @C[1],0($iotas)
la $iotas,8($iotas)
stg @C[1],$A[0][0]($dst) # R[0][0] = C[0] ^ ( C[1] | C[2]) ^ iotas[i]
lgr @T[1],@C[4]
ngr @C[4],@C[3]
lghi @C[1],-1 # no 'not' instruction :-(
xgr @C[4],@C[2] # C[2] ^ ( C[4] & C[3])
xgr @C[2],@C[1] # not @C[2]
stg @C[4],$A[0][2]($dst) # R[0][2] = C[2] ^ ( C[4] & C[3])
ogr @C[2],@C[3]
xgr @C[2],@T[0] # C[1] ^ (~C[2] | C[3])
ngr @T[0],@C[0]
stg @C[2],$A[0][1]($dst) # R[0][1] = C[1] ^ (~C[2] | C[3])
xgr @T[0],@T[1] # C[4] ^ ( C[1] & C[0])
ogr @T[1],@C[0]
stg @T[0],$A[0][4]($dst) # R[0][4] = C[4] ^ ( C[1] & C[0])
xgr @T[1],@C[3] # C[3] ^ ( C[4] | C[0])
stg @T[1],$A[0][3]($dst) # R[0][3] = C[3] ^ ( C[4] | C[0])
lg @C[0],$A[0][3]($src)
lg @C[4],$A[4][2]($src)
lg @C[3],$A[3][1]($src)
lg @C[1],$A[1][4]($src)
lg @C[2],$A[2][0]($src)
xgr @C[0],@D[3]
xgr @C[4],@D[2]
rllg @C[0],@C[0],$rhotates[0][3]
xgr @C[3],@D[1]
rllg @C[4],@C[4],$rhotates[4][2]
xgr @C[1],@D[4]
rllg @C[3],@C[3],$rhotates[3][1]
xgr @C[2],@D[0]
lgr @T[0],@C[0]
ogr @C[0],@C[4]
rllg @C[1],@C[1],$rhotates[1][4]
xgr @C[0],@C[3] # C[3] ^ (C[0] | C[4])
rllg @C[2],@C[2],$rhotates[2][0]
stg @C[0],$A[1][3]($dst) # R[1][3] = C[3] ^ (C[0] | C[4])
lgr @T[1],@C[1]
ngr @C[1],@T[0]
lghi @C[0],-1 # no 'not' instruction :-(
xgr @C[1],@C[4] # C[4] ^ (C[1] & C[0])
xgr @C[4],@C[0] # not @C[4]
stg @C[1],$A[1][4]($dst) # R[1][4] = C[4] ^ (C[1] & C[0])
ogr @C[4],@C[3]
xgr @C[4],@C[2] # C[2] ^ (~C[4] | C[3])
ngr @C[3],@C[2]
stg @C[4],$A[1][2]($dst) # R[1][2] = C[2] ^ (~C[4] | C[3])
xgr @C[3],@T[1] # C[1] ^ (C[3] & C[2])
ogr @T[1],@C[2]
stg @C[3],$A[1][1]($dst) # R[1][1] = C[1] ^ (C[3] & C[2])
xgr @T[1],@T[0] # C[0] ^ (C[1] | C[2])
stg @T[1],$A[1][0]($dst) # R[1][0] = C[0] ^ (C[1] | C[2])
lg @C[2],$A[2][3]($src)
lg @C[3],$A[3][4]($src)
lg @C[1],$A[1][2]($src)
lg @C[4],$A[4][0]($src)
lg @C[0],$A[0][1]($src)
xgr @C[2],@D[3]
xgr @C[3],@D[4]
rllg @C[2],@C[2],$rhotates[2][3]
xgr @C[1],@D[2]
rllg @C[3],@C[3],$rhotates[3][4]
xgr @C[4],@D[0]
rllg @C[1],@C[1],$rhotates[1][2]
xgr @C[0],@D[1]
lgr @T[0],@C[2]
ngr @C[2],@C[3]
rllg @C[4],@C[4],$rhotates[4][0]
xgr @C[2],@C[1] # C[1] ^ ( C[2] & C[3])
lghi @T[1],-1 # no 'not' instruction :-(
stg @C[2],$A[2][1]($dst) # R[2][1] = C[1] ^ ( C[2] & C[3])
xgr @C[3],@T[1] # not @C[3]
lgr @T[1],@C[4]
ngr @C[4],@C[3]
rllg @C[0],@C[0],$rhotates[0][1]
xgr @C[4],@T[0] # C[2] ^ ( C[4] & ~C[3])
ogr @T[0],@C[1]
stg @C[4],$A[2][2]($dst) # R[2][2] = C[2] ^ ( C[4] & ~C[3])
xgr @T[0],@C[0] # C[0] ^ ( C[2] | C[1])
ngr @C[1],@C[0]
stg @T[0],$A[2][0]($dst) # R[2][0] = C[0] ^ ( C[2] | C[1])
xgr @C[1],@T[1] # C[4] ^ ( C[1] & C[0])
ogr @C[0],@T[1]
stg @C[1],$A[2][4]($dst) # R[2][4] = C[4] ^ ( C[1] & C[0])
xgr @C[0],@C[3] # ~C[3] ^ ( C[0] | C[4])
stg @C[0],$A[2][3]($dst) # R[2][3] = ~C[3] ^ ( C[0] | C[4])
lg @C[2],$A[2][1]($src)
lg @C[3],$A[3][2]($src)
lg @C[1],$A[1][0]($src)
lg @C[4],$A[4][3]($src)
lg @C[0],$A[0][4]($src)
xgr @C[2],@D[1]
xgr @C[3],@D[2]
rllg @C[2],@C[2],$rhotates[2][1]
xgr @C[1],@D[0]
rllg @C[3],@C[3],$rhotates[3][2]
xgr @C[4],@D[3]
rllg @C[1],@C[1],$rhotates[1][0]
xgr @C[0],@D[4]
rllg @C[4],@C[4],$rhotates[4][3]
lgr @T[0],@C[2]
ogr @C[2],@C[3]
lghi @T[1],-1 # no 'not' instruction :-(
xgr @C[2],@C[1] # C[1] ^ ( C[2] | C[3])
xgr @C[3],@T[1] # not @C[3]
stg @C[2],$A[3][1]($dst) # R[3][1] = C[1] ^ ( C[2] | C[3])
lgr @T[1],@C[4]
ogr @C[4],@C[3]
rllg @C[0],@C[0],$rhotates[0][4]
xgr @C[4],@T[0] # C[2] ^ ( C[4] | ~C[3])
ngr @T[0],@C[1]
stg @C[4],$A[3][2]($dst) # R[3][2] = C[2] ^ ( C[4] | ~C[3])
xgr @T[0],@C[0] # C[0] ^ ( C[2] & C[1])
ogr @C[1],@C[0]
stg @T[0],$A[3][0]($dst) # R[3][0] = C[0] ^ ( C[2] & C[1])
xgr @C[1],@T[1] # C[4] ^ ( C[1] | C[0])
ngr @C[0],@T[1]
stg @C[1],$A[3][4]($dst) # R[3][4] = C[4] ^ ( C[1] | C[0])
xgr @C[0],@C[3] # ~C[3] ^ ( C[0] & C[4])
stg @C[0],$A[3][3]($dst) # R[3][3] = ~C[3] ^ ( C[0] & C[4])
xg @D[2],$A[0][2]($src)
xg @D[3],$A[1][3]($src)
xg @D[1],$A[4][1]($src)
xg @D[4],$A[2][4]($src)
xgr $dst,$src # xchg $dst,$src
rllg @D[2],@D[2],$rhotates[0][2]
xg @D[0],$A[3][0]($src)
rllg @D[3],@D[3],$rhotates[1][3]
xgr $src,$dst
rllg @D[1],@D[1],$rhotates[4][1]
xgr $dst,$src
rllg @D[4],@D[4],$rhotates[2][4]
___
@C = @D[2..4,0,1];
$code.=<<___;
lgr @T[0],@C[0]
ngr @C[0],@C[1]
lghi @T[1],-1 # no 'not' instruction :-(
xgr @C[0],@C[4] # C[4] ^ ( C[0] & C[1])
xgr @C[1],@T[1] # not @C[1]
stg @C[0],$A[4][4]($src) # R[4][4] = C[4] ^ ( C[0] & C[1])
lgr @T[1],@C[2]
ngr @C[2],@C[1]
rllg @D[0],@D[0],$rhotates[3][0]
xgr @C[2],@T[0] # C[0] ^ ( C[2] & ~C[1])
ogr @T[0],@C[4]
stg @C[2],$A[4][0]($src) # R[4][0] = C[0] ^ ( C[2] & ~C[1])
xgr @T[0],@C[3] # C[3] ^ ( C[0] | C[4])
ngr @C[4],@C[3]
stg @T[0],$A[4][3]($src) # R[4][3] = C[3] ^ ( C[0] | C[4])
xgr @C[4],@T[1] # C[2] ^ ( C[4] & C[3])
ogr @C[3],@T[1]
stg @C[4],$A[4][2]($src) # R[4][2] = C[2] ^ ( C[4] & C[3])
xgr @C[3],@C[1] # ~C[1] ^ ( C[2] | C[3])
lgr @C[1],@C[0] # harmonize with the loop top
lgr @C[0],@T[0]
stg @C[3],$A[4][1]($src) # R[4][1] = ~C[1] ^ ( C[2] | C[3])
tmll $iotas,255
jnz .Loop
l${g} %r14,$SIZE_T*14($sp)
br %r14
.size __KeccakF1600,.-__KeccakF1600
___
}
{
$code.=<<___;
.type KeccakF1600,\@function
.align 32
KeccakF1600:
.LKeccakF1600:
lghi %r1,-$frame
stm${g} %r6,%r15,$SIZE_T*6($sp)
lgr %r0,$sp
la $sp,0(%r1,$sp)
st${g} %r0,0($sp)
lghi @D[0],-1 # no 'not' instruction :-(
lghi @D[1],-1
lghi @D[2],-1
lghi @D[3],-1
lghi @D[4],-1
lghi @T[0],-1
xg @D[0],$A[0][1]($src)
xg @D[1],$A[0][2]($src)
xg @D[2],$A[1][3]($src)
xg @D[3],$A[2][2]($src)
xg @D[4],$A[3][2]($src)
xg @T[0],$A[4][0]($src)
stmg @D[0],@D[1],$A[0][1]($src)
stg @D[2],$A[1][3]($src)
stg @D[3],$A[2][2]($src)
stg @D[4],$A[3][2]($src)
stg @T[0],$A[4][0]($src)
la $dst,$stdframe($sp)
bras %r14,__KeccakF1600
lghi @D[0],-1 # no 'not' instruction :-(
lghi @D[1],-1
lghi @D[2],-1
lghi @D[3],-1
lghi @D[4],-1
lghi @T[0],-1
xg @D[0],$A[0][1]($src)
xg @D[1],$A[0][2]($src)
xg @D[2],$A[1][3]($src)
xg @D[3],$A[2][2]($src)
xg @D[4],$A[3][2]($src)
xg @T[0],$A[4][0]($src)
stmg @D[0],@D[1],$A[0][1]($src)
stg @D[2],$A[1][3]($src)
stg @D[3],$A[2][2]($src)
stg @D[4],$A[3][2]($src)
stg @T[0],$A[4][0]($src)
lm${g} %r6,%r15,$frame+6*$SIZE_T($sp)
br %r14
.size KeccakF1600,.-KeccakF1600
___
}
{ my ($A_flat,$inp,$len,$bsz) = map("%r$_",(2..5));
$code.=<<___;
.globl SHA3_absorb
.type SHA3_absorb,\@function
.align 32
SHA3_absorb:
lghi %r1,-$frame
stm${g} %r5,%r15,$SIZE_T*5($sp)
lgr %r0,$sp
la $sp,0(%r1,$sp)
st${g} %r0,0($sp)
lghi @D[0],-1 # no 'not' instruction :-(
lghi @D[1],-1
lghi @D[2],-1
lghi @D[3],-1
lghi @D[4],-1
lghi @T[0],-1
xg @D[0],$A[0][1]($src)
xg @D[1],$A[0][2]($src)
xg @D[2],$A[1][3]($src)
xg @D[3],$A[2][2]($src)
xg @D[4],$A[3][2]($src)
xg @T[0],$A[4][0]($src)
stmg @D[0],@D[1],$A[0][1]($src)
stg @D[2],$A[1][3]($src)
stg @D[3],$A[2][2]($src)
stg @D[4],$A[3][2]($src)
stg @T[0],$A[4][0]($src)
.Loop_absorb:
cl${g}r $len,$bsz
jl .Ldone_absorb
srl${g} $bsz,3
la %r1,0($A_flat)
.Lblock_absorb:
lrvg %r0,0($inp)
la $inp,8($inp)
xg %r0,0(%r1)
a${g}hi $len,-8
stg %r0,0(%r1)
la %r1,8(%r1)
brct $bsz,.Lblock_absorb
stm${g} $inp,$len,$frame+3*$SIZE_T($sp)
la $dst,$stdframe($sp)
bras %r14,__KeccakF1600
lm${g} $inp,$bsz,$frame+3*$SIZE_T($sp)
j .Loop_absorb
.align 16
.Ldone_absorb:
lghi @D[0],-1 # no 'not' instruction :-(
lghi @D[1],-1
lghi @D[2],-1
lghi @D[3],-1
lghi @D[4],-1
lghi @T[0],-1
xg @D[0],$A[0][1]($src)
xg @D[1],$A[0][2]($src)
xg @D[2],$A[1][3]($src)
xg @D[3],$A[2][2]($src)
xg @D[4],$A[3][2]($src)
xg @T[0],$A[4][0]($src)
stmg @D[0],@D[1],$A[0][1]($src)
stg @D[2],$A[1][3]($src)
stg @D[3],$A[2][2]($src)
stg @D[4],$A[3][2]($src)
stg @T[0],$A[4][0]($src)
lgr %r2,$len # return value
lm${g} %r6,%r15,$frame+6*$SIZE_T($sp)
br %r14
.size SHA3_absorb,.-SHA3_absorb
___
}
{ my ($A_flat,$out,$len,$bsz) = map("%r$_",(2..5));
$code.=<<___;
.globl SHA3_squeeze
.type SHA3_squeeze,\@function
.align 32
SHA3_squeeze:
srl${g} $bsz,3
st${g} %r14,2*$SIZE_T($sp)
lghi %r14,8
st${g} $bsz,5*$SIZE_T($sp)
la %r1,0($A_flat)
j .Loop_squeeze
.align 16
.Loop_squeeze:
cl${g}r $len,%r14
jl .Ltail_squeeze
lrvg %r0,0(%r1)
la %r1,8(%r1)
stg %r0,0($out)
la $out,8($out)
a${g}hi $len,-8 # len -= 8
jz .Ldone_squeeze
brct $bsz,.Loop_squeeze # bsz--
stm${g} $out,$len,3*$SIZE_T($sp)
bras %r14,.LKeccakF1600
lm${g} $out,$bsz,3*$SIZE_T($sp)
lghi %r14,8
la %r1,0($A_flat)
j .Loop_squeeze
.Ltail_squeeze:
lg %r0,0(%r1)
.Loop_tail_squeeze:
stc %r0,0($out)
la $out,1($out)
srlg %r0,8
brct $len,.Loop_tail_squeeze
.Ldone_squeeze:
l${g} %r14,2*$SIZE_T($sp)
br %r14
.size SHA3_squeeze,.-SHA3_squeeze
___
}
$code.=<<___;
.align 256
.quad 0,0,0,0,0,0,0,0
.type iotas,\@object
iotas:
.quad 0x0000000000000001
.quad 0x0000000000008082
.quad 0x800000000000808a
.quad 0x8000000080008000
.quad 0x000000000000808b
.quad 0x0000000080000001
.quad 0x8000000080008081
.quad 0x8000000000008009
.quad 0x000000000000008a
.quad 0x0000000000000088
.quad 0x0000000080008009
.quad 0x000000008000000a
.quad 0x000000008000808b
.quad 0x800000000000008b
.quad 0x8000000000008089
.quad 0x8000000000008003
.quad 0x8000000000008002
.quad 0x8000000000000080
.quad 0x000000000000800a
.quad 0x800000008000000a
.quad 0x8000000080008081
.quad 0x8000000000008080
.quad 0x0000000080000001
.quad 0x8000000080008008
.size iotas,.-iotas
.asciz "Keccak-1600 absorb and squeeze for s390x, CRYPTOGAMS by <appro\@openssl.org>"
___
# unlike 32-bit shift 64-bit one takes three arguments
$code =~ s/(srlg\s+)(%r[0-9]+),/$1$2,$2,/gm;
print $code;
close STDOUT or die "error closing STDOUT";
|
