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1#!/usr/bin/env perl
2
3# ====================================================================
4# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
5# project. The module is, however, dual licensed under OpenSSL and
6# CRYPTOGAMS licenses depending on where you obtain it. For further
7# details see http://www.openssl.org/~appro/cryptogams/.
8# ====================================================================
9
10# December 2005
11#
12# Pure SPARCv9/8+ and IALU-only bn_mul_mont implementation. The reasons
13# for undertaken effort are multiple. First of all, UltraSPARC is not
14# the whole SPARCv9 universe and other VIS-free implementations deserve
15# optimized code as much. Secondly, newly introduced UltraSPARC T1,
16# a.k.a. Niagara, has shared FPU and concurrent FPU-intensive pathes,
17# such as sparcv9a-mont, will simply sink it. Yes, T1 is equipped with
18# several integrated RSA/DSA accelerator circuits accessible through
19# kernel driver [only(*)], but having decent user-land software
20# implementation is important too. Finally, reasons like desire to
21# experiment with dedicated squaring procedure. Yes, this module
22# implements one, because it was easiest to draft it in SPARCv9
23# instructions...
24
25# (*) Engine accessing the driver in question is on my TODO list.
26# For reference, acceleator is estimated to give 6 to 10 times
27# improvement on single-threaded RSA sign. It should be noted
28# that 6-10x improvement coefficient does not actually mean
29# something extraordinary in terms of absolute [single-threaded]
30# performance, as SPARCv9 instruction set is by all means least
31# suitable for high performance crypto among other 64 bit
32# platforms. 6-10x factor simply places T1 in same performance
33# domain as say AMD64 and IA-64. Improvement of RSA verify don't
34# appear impressive at all, but it's the sign operation which is
35# far more critical/interesting.
36
37# You might notice that inner loops are modulo-scheduled:-) This has
38# essentially negligible impact on UltraSPARC performance, it's
39# Fujitsu SPARC64 V users who should notice and hopefully appreciate
40# the advantage... Currently this module surpasses sparcv9a-mont.pl
41# by ~20% on UltraSPARC-III and later cores, but recall that sparcv9a
42# module still have hidden potential [see TODO list there], which is
43# estimated to be larger than 20%...
44
45# int bn_mul_mont(
46$rp="%i0"; # BN_ULONG *rp,
47$ap="%i1"; # const BN_ULONG *ap,
48$bp="%i2"; # const BN_ULONG *bp,
49$np="%i3"; # const BN_ULONG *np,
50$n0="%i4"; # const BN_ULONG *n0,
51$num="%i5"; # int num);
52
53$bits=32;
54for (@ARGV) { $bits=64 if (/\-m64/ || /\-xarch\=v9/); }
55if ($bits==64) { $bias=2047; $frame=192; }
56else { $bias=0; $frame=128; }
57
58$car0="%o0";
59$car1="%o1";
60$car2="%o2"; # 1 bit
61$acc0="%o3";
62$acc1="%o4";
63$mask="%g1"; # 32 bits, what a waste...
64$tmp0="%g4";
65$tmp1="%g5";
66
67$i="%l0";
68$j="%l1";
69$mul0="%l2";
70$mul1="%l3";
71$tp="%l4";
72$apj="%l5";
73$npj="%l6";
74$tpj="%l7";
75
76$fname="bn_mul_mont_int";
77
78$code=<<___;
79.section ".text",#alloc,#execinstr
80
81.global $fname
82.align 32
83$fname:
84 cmp %o5,4 ! 128 bits minimum
85 bge,pt %icc,.Lenter
86 sethi %hi(0xffffffff),$mask
87 retl
88 clr %o0
89.align 32
90.Lenter:
91 save %sp,-$frame,%sp
92 sll $num,2,$num ! num*=4
93 or $mask,%lo(0xffffffff),$mask
94 ld [$n0],$n0
95 cmp $ap,$bp
96 and $num,$mask,$num
97 ld [$bp],$mul0 ! bp[0]
98 nop
99
100 add %sp,$bias,%o7 ! real top of stack
101 ld [$ap],$car0 ! ap[0] ! redundant in squaring context
102 sub %o7,$num,%o7
103 ld [$ap+4],$apj ! ap[1]
104 and %o7,-1024,%o7
105 ld [$np],$car1 ! np[0]
106 sub %o7,$bias,%sp ! alloca
107 ld [$np+4],$npj ! np[1]
108 be,pt `$bits==32?"%icc":"%xcc"`,.Lbn_sqr_mont
109 mov 12,$j
110
111 mulx $car0,$mul0,$car0 ! ap[0]*bp[0]
112 mulx $apj,$mul0,$tmp0 !prologue! ap[1]*bp[0]
113 and $car0,$mask,$acc0
114 add %sp,$bias+$frame,$tp
115 ld [$ap+8],$apj !prologue!
116
117 mulx $n0,$acc0,$mul1 ! "t[0]"*n0
118 and $mul1,$mask,$mul1
119
120 mulx $car1,$mul1,$car1 ! np[0]*"t[0]"*n0
121 mulx $npj,$mul1,$acc1 !prologue! np[1]*"t[0]"*n0
122 srlx $car0,32,$car0
123 add $acc0,$car1,$car1
124 ld [$np+8],$npj !prologue!
125 srlx $car1,32,$car1
126 mov $tmp0,$acc0 !prologue!
127
128.L1st:
129 mulx $apj,$mul0,$tmp0
130 mulx $npj,$mul1,$tmp1
131 add $acc0,$car0,$car0
132 ld [$ap+$j],$apj ! ap[j]
133 and $car0,$mask,$acc0
134 add $acc1,$car1,$car1
135 ld [$np+$j],$npj ! np[j]
136 srlx $car0,32,$car0
137 add $acc0,$car1,$car1
138 add $j,4,$j ! j++
139 mov $tmp0,$acc0
140 st $car1,[$tp]
141 cmp $j,$num
142 mov $tmp1,$acc1
143 srlx $car1,32,$car1
144 bl %icc,.L1st
145 add $tp,4,$tp ! tp++
146!.L1st
147
148 mulx $apj,$mul0,$tmp0 !epilogue!
149 mulx $npj,$mul1,$tmp1
150 add $acc0,$car0,$car0
151 and $car0,$mask,$acc0
152 add $acc1,$car1,$car1
153 srlx $car0,32,$car0
154 add $acc0,$car1,$car1
155 st $car1,[$tp]
156 srlx $car1,32,$car1
157
158 add $tmp0,$car0,$car0
159 and $car0,$mask,$acc0
160 add $tmp1,$car1,$car1
161 srlx $car0,32,$car0
162 add $acc0,$car1,$car1
163 st $car1,[$tp+4]
164 srlx $car1,32,$car1
165
166 add $car0,$car1,$car1
167 st $car1,[$tp+8]
168 srlx $car1,32,$car2
169
170 mov 4,$i ! i++
171 ld [$bp+4],$mul0 ! bp[1]
172.Louter:
173 add %sp,$bias+$frame,$tp
174 ld [$ap],$car0 ! ap[0]
175 ld [$ap+4],$apj ! ap[1]
176 ld [$np],$car1 ! np[0]
177 ld [$np+4],$npj ! np[1]
178 ld [$tp],$tmp1 ! tp[0]
179 ld [$tp+4],$tpj ! tp[1]
180 mov 12,$j
181
182 mulx $car0,$mul0,$car0
183 mulx $apj,$mul0,$tmp0 !prologue!
184 add $tmp1,$car0,$car0
185 ld [$ap+8],$apj !prologue!
186 and $car0,$mask,$acc0
187
188 mulx $n0,$acc0,$mul1
189 and $mul1,$mask,$mul1
190
191 mulx $car1,$mul1,$car1
192 mulx $npj,$mul1,$acc1 !prologue!
193 srlx $car0,32,$car0
194 add $acc0,$car1,$car1
195 ld [$np+8],$npj !prologue!
196 srlx $car1,32,$car1
197 mov $tmp0,$acc0 !prologue!
198
199.Linner:
200 mulx $apj,$mul0,$tmp0
201 mulx $npj,$mul1,$tmp1
202 add $tpj,$car0,$car0
203 ld [$ap+$j],$apj ! ap[j]
204 add $acc0,$car0,$car0
205 add $acc1,$car1,$car1
206 ld [$np+$j],$npj ! np[j]
207 and $car0,$mask,$acc0
208 ld [$tp+8],$tpj ! tp[j]
209 srlx $car0,32,$car0
210 add $acc0,$car1,$car1
211 add $j,4,$j ! j++
212 mov $tmp0,$acc0
213 st $car1,[$tp] ! tp[j-1]
214 srlx $car1,32,$car1
215 mov $tmp1,$acc1
216 cmp $j,$num
217 bl %icc,.Linner
218 add $tp,4,$tp ! tp++
219!.Linner
220
221 mulx $apj,$mul0,$tmp0 !epilogue!
222 mulx $npj,$mul1,$tmp1
223 add $tpj,$car0,$car0
224 add $acc0,$car0,$car0
225 ld [$tp+8],$tpj ! tp[j]
226 and $car0,$mask,$acc0
227 add $acc1,$car1,$car1
228 srlx $car0,32,$car0
229 add $acc0,$car1,$car1
230 st $car1,[$tp] ! tp[j-1]
231 srlx $car1,32,$car1
232
233 add $tpj,$car0,$car0
234 add $tmp0,$car0,$car0
235 and $car0,$mask,$acc0
236 add $tmp1,$car1,$car1
237 add $acc0,$car1,$car1
238 st $car1,[$tp+4] ! tp[j-1]
239 srlx $car0,32,$car0
240 add $i,4,$i ! i++
241 srlx $car1,32,$car1
242
243 add $car0,$car1,$car1
244 cmp $i,$num
245 add $car2,$car1,$car1
246 st $car1,[$tp+8]
247
248 srlx $car1,32,$car2
249 bl,a %icc,.Louter
250 ld [$bp+$i],$mul0 ! bp[i]
251!.Louter
252
253 add $tp,12,$tp
254
255.Ltail:
256 add $np,$num,$np
257 add $rp,$num,$rp
258 mov $tp,$ap
259 sub %g0,$num,%o7 ! k=-num
260 ba .Lsub
261 subcc %g0,%g0,%g0 ! clear %icc.c
262.align 16
263.Lsub:
264 ld [$tp+%o7],%o0
265 ld [$np+%o7],%o1
266 subccc %o0,%o1,%o1 ! tp[j]-np[j]
267 add $rp,%o7,$i
268 add %o7,4,%o7
269 brnz %o7,.Lsub
270 st %o1,[$i]
271 subc $car2,0,$car2 ! handle upmost overflow bit
272 and $tp,$car2,$ap
273 andn $rp,$car2,$np
274 or $ap,$np,$ap
275 sub %g0,$num,%o7
276
277.Lcopy:
278 ld [$ap+%o7],%o0 ! copy or in-place refresh
279 st %g0,[$tp+%o7] ! zap tp
280 st %o0,[$rp+%o7]
281 add %o7,4,%o7
282 brnz %o7,.Lcopy
283 nop
284 mov 1,%i0
285 ret
286 restore
287___
288
289########
290######## .Lbn_sqr_mont gives up to 20% *overall* improvement over
291######## code without following dedicated squaring procedure.
292########
293$sbit="%i2"; # re-use $bp!
294
295$code.=<<___;
296.align 32
297.Lbn_sqr_mont:
298 mulx $mul0,$mul0,$car0 ! ap[0]*ap[0]
299 mulx $apj,$mul0,$tmp0 !prologue!
300 and $car0,$mask,$acc0
301 add %sp,$bias+$frame,$tp
302 ld [$ap+8],$apj !prologue!
303
304 mulx $n0,$acc0,$mul1 ! "t[0]"*n0
305 srlx $car0,32,$car0
306 and $mul1,$mask,$mul1
307
308 mulx $car1,$mul1,$car1 ! np[0]*"t[0]"*n0
309 mulx $npj,$mul1,$acc1 !prologue!
310 and $car0,1,$sbit
311 ld [$np+8],$npj !prologue!
312 srlx $car0,1,$car0
313 add $acc0,$car1,$car1
314 srlx $car1,32,$car1
315 mov $tmp0,$acc0 !prologue!
316
317.Lsqr_1st:
318 mulx $apj,$mul0,$tmp0
319 mulx $npj,$mul1,$tmp1
320 add $acc0,$car0,$car0 ! ap[j]*a0+c0
321 add $acc1,$car1,$car1
322 ld [$ap+$j],$apj ! ap[j]
323 and $car0,$mask,$acc0
324 ld [$np+$j],$npj ! np[j]
325 srlx $car0,32,$car0
326 add $acc0,$acc0,$acc0
327 or $sbit,$acc0,$acc0
328 mov $tmp1,$acc1
329 srlx $acc0,32,$sbit
330 add $j,4,$j ! j++
331 and $acc0,$mask,$acc0
332 cmp $j,$num
333 add $acc0,$car1,$car1
334 st $car1,[$tp]
335 mov $tmp0,$acc0
336 srlx $car1,32,$car1
337 bl %icc,.Lsqr_1st
338 add $tp,4,$tp ! tp++
339!.Lsqr_1st
340
341 mulx $apj,$mul0,$tmp0 ! epilogue
342 mulx $npj,$mul1,$tmp1
343 add $acc0,$car0,$car0 ! ap[j]*a0+c0
344 add $acc1,$car1,$car1
345 and $car0,$mask,$acc0
346 srlx $car0,32,$car0
347 add $acc0,$acc0,$acc0
348 or $sbit,$acc0,$acc0
349 srlx $acc0,32,$sbit
350 and $acc0,$mask,$acc0
351 add $acc0,$car1,$car1
352 st $car1,[$tp]
353 srlx $car1,32,$car1
354
355 add $tmp0,$car0,$car0 ! ap[j]*a0+c0
356 add $tmp1,$car1,$car1
357 and $car0,$mask,$acc0
358 srlx $car0,32,$car0
359 add $acc0,$acc0,$acc0
360 or $sbit,$acc0,$acc0
361 srlx $acc0,32,$sbit
362 and $acc0,$mask,$acc0
363 add $acc0,$car1,$car1
364 st $car1,[$tp+4]
365 srlx $car1,32,$car1
366
367 add $car0,$car0,$car0
368 or $sbit,$car0,$car0
369 add $car0,$car1,$car1
370 st $car1,[$tp+8]
371 srlx $car1,32,$car2
372
373 ld [%sp+$bias+$frame],$tmp0 ! tp[0]
374 ld [%sp+$bias+$frame+4],$tmp1 ! tp[1]
375 ld [%sp+$bias+$frame+8],$tpj ! tp[2]
376 ld [$ap+4],$mul0 ! ap[1]
377 ld [$ap+8],$apj ! ap[2]
378 ld [$np],$car1 ! np[0]
379 ld [$np+4],$npj ! np[1]
380 mulx $n0,$tmp0,$mul1
381
382 mulx $mul0,$mul0,$car0
383 and $mul1,$mask,$mul1
384
385 mulx $car1,$mul1,$car1
386 mulx $npj,$mul1,$acc1
387 add $tmp0,$car1,$car1
388 and $car0,$mask,$acc0
389 ld [$np+8],$npj ! np[2]
390 srlx $car1,32,$car1
391 add $tmp1,$car1,$car1
392 srlx $car0,32,$car0
393 add $acc0,$car1,$car1
394 and $car0,1,$sbit
395 add $acc1,$car1,$car1
396 srlx $car0,1,$car0
397 mov 12,$j
398 st $car1,[%sp+$bias+$frame] ! tp[0]=
399 srlx $car1,32,$car1
400 add %sp,$bias+$frame+4,$tp
401
402.Lsqr_2nd:
403 mulx $apj,$mul0,$acc0
404 mulx $npj,$mul1,$acc1
405 add $acc0,$car0,$car0
406 add $tpj,$car1,$car1
407 ld [$ap+$j],$apj ! ap[j]
408 and $car0,$mask,$acc0
409 ld [$np+$j],$npj ! np[j]
410 srlx $car0,32,$car0
411 add $acc1,$car1,$car1
412 ld [$tp+8],$tpj ! tp[j]
413 add $acc0,$acc0,$acc0
414 add $j,4,$j ! j++
415 or $sbit,$acc0,$acc0
416 srlx $acc0,32,$sbit
417 and $acc0,$mask,$acc0
418 cmp $j,$num
419 add $acc0,$car1,$car1
420 st $car1,[$tp] ! tp[j-1]
421 srlx $car1,32,$car1
422 bl %icc,.Lsqr_2nd
423 add $tp,4,$tp ! tp++
424!.Lsqr_2nd
425
426 mulx $apj,$mul0,$acc0
427 mulx $npj,$mul1,$acc1
428 add $acc0,$car0,$car0
429 add $tpj,$car1,$car1
430 and $car0,$mask,$acc0
431 srlx $car0,32,$car0
432 add $acc1,$car1,$car1
433 add $acc0,$acc0,$acc0
434 or $sbit,$acc0,$acc0
435 srlx $acc0,32,$sbit
436 and $acc0,$mask,$acc0
437 add $acc0,$car1,$car1
438 st $car1,[$tp] ! tp[j-1]
439 srlx $car1,32,$car1
440
441 add $car0,$car0,$car0
442 or $sbit,$car0,$car0
443 add $car0,$car1,$car1
444 add $car2,$car1,$car1
445 st $car1,[$tp+4]
446 srlx $car1,32,$car2
447
448 ld [%sp+$bias+$frame],$tmp1 ! tp[0]
449 ld [%sp+$bias+$frame+4],$tpj ! tp[1]
450 ld [$ap+8],$mul0 ! ap[2]
451 ld [$np],$car1 ! np[0]
452 ld [$np+4],$npj ! np[1]
453 mulx $n0,$tmp1,$mul1
454 and $mul1,$mask,$mul1
455 mov 8,$i
456
457 mulx $mul0,$mul0,$car0
458 mulx $car1,$mul1,$car1
459 and $car0,$mask,$acc0
460 add $tmp1,$car1,$car1
461 srlx $car0,32,$car0
462 add %sp,$bias+$frame,$tp
463 srlx $car1,32,$car1
464 and $car0,1,$sbit
465 srlx $car0,1,$car0
466 mov 4,$j
467
468.Lsqr_outer:
469.Lsqr_inner1:
470 mulx $npj,$mul1,$acc1
471 add $tpj,$car1,$car1
472 add $j,4,$j
473 ld [$tp+8],$tpj
474 cmp $j,$i
475 add $acc1,$car1,$car1
476 ld [$np+$j],$npj
477 st $car1,[$tp]
478 srlx $car1,32,$car1
479 bl %icc,.Lsqr_inner1
480 add $tp,4,$tp
481!.Lsqr_inner1
482
483 add $j,4,$j
484 ld [$ap+$j],$apj ! ap[j]
485 mulx $npj,$mul1,$acc1
486 add $tpj,$car1,$car1
487 ld [$np+$j],$npj ! np[j]
488 add $acc0,$car1,$car1
489 ld [$tp+8],$tpj ! tp[j]
490 add $acc1,$car1,$car1
491 st $car1,[$tp]
492 srlx $car1,32,$car1
493
494 add $j,4,$j
495 cmp $j,$num
496 be,pn %icc,.Lsqr_no_inner2
497 add $tp,4,$tp
498
499.Lsqr_inner2:
500 mulx $apj,$mul0,$acc0
501 mulx $npj,$mul1,$acc1
502 add $tpj,$car1,$car1
503 add $acc0,$car0,$car0
504 ld [$ap+$j],$apj ! ap[j]
505 and $car0,$mask,$acc0
506 ld [$np+$j],$npj ! np[j]
507 srlx $car0,32,$car0
508 add $acc0,$acc0,$acc0
509 ld [$tp+8],$tpj ! tp[j]
510 or $sbit,$acc0,$acc0
511 add $j,4,$j ! j++
512 srlx $acc0,32,$sbit
513 and $acc0,$mask,$acc0
514 cmp $j,$num
515 add $acc0,$car1,$car1
516 add $acc1,$car1,$car1
517 st $car1,[$tp] ! tp[j-1]
518 srlx $car1,32,$car1
519 bl %icc,.Lsqr_inner2
520 add $tp,4,$tp ! tp++
521
522.Lsqr_no_inner2:
523 mulx $apj,$mul0,$acc0
524 mulx $npj,$mul1,$acc1
525 add $tpj,$car1,$car1
526 add $acc0,$car0,$car0
527 and $car0,$mask,$acc0
528 srlx $car0,32,$car0
529 add $acc0,$acc0,$acc0
530 or $sbit,$acc0,$acc0
531 srlx $acc0,32,$sbit
532 and $acc0,$mask,$acc0
533 add $acc0,$car1,$car1
534 add $acc1,$car1,$car1
535 st $car1,[$tp] ! tp[j-1]
536 srlx $car1,32,$car1
537
538 add $car0,$car0,$car0
539 or $sbit,$car0,$car0
540 add $car0,$car1,$car1
541 add $car2,$car1,$car1
542 st $car1,[$tp+4]
543 srlx $car1,32,$car2
544
545 add $i,4,$i ! i++
546 ld [%sp+$bias+$frame],$tmp1 ! tp[0]
547 ld [%sp+$bias+$frame+4],$tpj ! tp[1]
548 ld [$ap+$i],$mul0 ! ap[j]
549 ld [$np],$car1 ! np[0]
550 ld [$np+4],$npj ! np[1]
551 mulx $n0,$tmp1,$mul1
552 and $mul1,$mask,$mul1
553 add $i,4,$tmp0
554
555 mulx $mul0,$mul0,$car0
556 mulx $car1,$mul1,$car1
557 and $car0,$mask,$acc0
558 add $tmp1,$car1,$car1
559 srlx $car0,32,$car0
560 add %sp,$bias+$frame,$tp
561 srlx $car1,32,$car1
562 and $car0,1,$sbit
563 srlx $car0,1,$car0
564
565 cmp $tmp0,$num ! i<num-1
566 bl %icc,.Lsqr_outer
567 mov 4,$j
568
569.Lsqr_last:
570 mulx $npj,$mul1,$acc1
571 add $tpj,$car1,$car1
572 add $j,4,$j
573 ld [$tp+8],$tpj
574 cmp $j,$i
575 add $acc1,$car1,$car1
576 ld [$np+$j],$npj
577 st $car1,[$tp]
578 srlx $car1,32,$car1
579 bl %icc,.Lsqr_last
580 add $tp,4,$tp
581!.Lsqr_last
582
583 mulx $npj,$mul1,$acc1
584 add $tpj,$car1,$car1
585 add $acc0,$car1,$car1
586 add $acc1,$car1,$car1
587 st $car1,[$tp]
588 srlx $car1,32,$car1
589
590 add $car0,$car0,$car0 ! recover $car0
591 or $sbit,$car0,$car0
592 add $car0,$car1,$car1
593 add $car2,$car1,$car1
594 st $car1,[$tp+4]
595 srlx $car1,32,$car2
596
597 ba .Ltail
598 add $tp,8,$tp
599.type $fname,#function
600.size $fname,(.-$fname)
601.asciz "Montgomery Multipltication for SPARCv9, CRYPTOGAMS by <appro\@openssl.org>"
602.align 32
603___
604$code =~ s/\`([^\`]*)\`/eval($1)/gem;
605print $code;
606close STDOUT;
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2026-01-17 21:26:21 +0000