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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# On PA-7100LC this module performs ~90-50% better, less for longer
11# keys, than code generated by gcc 3.2 for PA-RISC 1.1. Latter means
12# that compiler utilized xmpyu instruction to perform 32x32=64-bit
13# multiplication, which in turn means that "baseline" performance was
14# optimal in respect to instruction set capabilities. Fair comparison
15# with vendor compiler is problematic, because OpenSSL doesn't define
16# BN_LLONG [presumably] for historical reasons, which drives compiler
17# toward 4 times 16x16=32-bit multiplicatons [plus complementary
18# shifts and additions] instead. This means that you should observe
19# several times improvement over code generated by vendor compiler
20# for PA-RISC 1.1, but the "baseline" is far from optimal. The actual
21# improvement coefficient was never collected on PA-7100LC, or any
22# other 1.1 CPU, because I don't have access to such machine with
23# vendor compiler. But to give you a taste, PA-RISC 1.1 code path
24# reportedly outperformed code generated by cc +DA1.1 +O3 by factor
25# of ~5x on PA-8600.
26#
27# On PA-RISC 2.0 it has to compete with pa-risc2[W].s, which is
28# reportedly ~2x faster than vendor compiler generated code [according
29# to comment in pa-risc2[W].s]. Here comes a catch. Execution core of
30# this implementation is actually 32-bit one, in the sense that it
31# operates on 32-bit values. But pa-risc2[W].s operates on arrays of
32# 64-bit BN_LONGs... How do they interoperate then? No problem. This
33# module picks halves of 64-bit values in reverse order and pretends
34# they were 32-bit BN_LONGs. But can 32-bit core compete with "pure"
35# 64-bit code such as pa-risc2[W].s then? Well, the thing is that
36# 32x32=64-bit multiplication is the best even PA-RISC 2.0 can do,
37# i.e. there is no "wider" multiplication like on most other 64-bit
38# platforms. This means that even being effectively 32-bit, this
39# implementation performs "64-bit" computational task in same amount
40# of arithmetic operations, most notably multiplications. It requires
41# more memory references, most notably to tp[num], but this doesn't
42# seem to exhaust memory port capacity. And indeed, dedicated PA-RISC
43# 2.0 code path provides virtually same performance as pa-risc2[W].s:
44# it's ~10% better for shortest key length and ~10% worse for longest
45# one.
46#
47# In case it wasn't clear. The module has two distinct code paths:
48# PA-RISC 1.1 and PA-RISC 2.0 ones. Latter features carry-free 64-bit
49# additions and 64-bit integer loads, not to mention specific
50# instruction scheduling. In 64-bit build naturally only 2.0 code path
51# is assembled. In 32-bit application context both code paths are
52# assembled, PA-RISC 2.0 CPU is detected at run-time and proper path
53# is taken automatically. Also, in 32-bit build the module imposes
54# couple of limitations: vector lengths has to be even and vector
55# addresses has to be 64-bit aligned. Normally neither is a problem:
56# most common key lengths are even and vectors are commonly malloc-ed,
57# which ensures alignment.
58#
59# Special thanks to polarhome.com for providing HP-UX account on
60# PA-RISC 1.1 machine, and to correspondent who chose to remain
61# anonymous for testing the code on PA-RISC 2.0 machine.
62
63$0 =~ m/(.*[\/\\])[^\/\\]+$/; $dir=$1;
64
65$flavour = shift;
66$output = shift;
67
68open STDOUT,">$output";
69
70if ($flavour =~ /64/) {
71 $LEVEL ="2.0W";
72 $SIZE_T =8;
73 $FRAME_MARKER =80;
74 $SAVED_RP =16;
75 $PUSH ="std";
76 $PUSHMA ="std,ma";
77 $POP ="ldd";
78 $POPMB ="ldd,mb";
79 $BN_SZ =$SIZE_T;
80} else {
81 $LEVEL ="1.1"; #$LEVEL.="\n\t.ALLOW\t2.0";
82 $SIZE_T =4;
83 $FRAME_MARKER =48;
84 $SAVED_RP =20;
85 $PUSH ="stw";
86 $PUSHMA ="stwm";
87 $POP ="ldw";
88 $POPMB ="ldwm";
89 $BN_SZ =$SIZE_T;
90}
91
92$FRAME=8*$SIZE_T+$FRAME_MARKER; # 8 saved regs + frame marker
93 # [+ argument transfer]
94$LOCALS=$FRAME-$FRAME_MARKER;
95$FRAME+=32; # local variables
96
97$tp="%r31";
98$ti1="%r29";
99$ti0="%r28";
100
101$rp="%r26";
102$ap="%r25";
103$bp="%r24";
104$np="%r23";
105$n0="%r22"; # passed through stack in 32-bit
106$num="%r21"; # passed through stack in 32-bit
107$idx="%r20";
108$arrsz="%r19";
109
110$nm1="%r7";
111$nm0="%r6";
112$ab1="%r5";
113$ab0="%r4";
114
115$fp="%r3";
116$hi1="%r2";
117$hi0="%r1";
118
119$xfer=$n0; # accomodates [-16..15] offset in fld[dw]s
120
121$fm0="%fr4"; $fti=$fm0;
122$fbi="%fr5L";
123$fn0="%fr5R";
124$fai="%fr6"; $fab0="%fr7"; $fab1="%fr8";
125$fni="%fr9"; $fnm0="%fr10"; $fnm1="%fr11";
126
127$code=<<___;
128 .LEVEL $LEVEL
129#if 0
130 .SPACE \$TEXT\$
131 .SUBSPA \$CODE\$,QUAD=0,ALIGN=8,ACCESS=0x2C,CODE_ONLY
132#else
133 .text
134#endif
135
136 .EXPORT bn_mul_mont,ENTRY,ARGW0=GR,ARGW1=GR,ARGW2=GR,ARGW3=GR
137 .ALIGN 64
138bn_mul_mont
139 .PROC
140 .CALLINFO FRAME=`$FRAME-8*$SIZE_T`,NO_CALLS,SAVE_RP,SAVE_SP,ENTRY_GR=6
141 .ENTRY
142 $PUSH %r2,-$SAVED_RP(%sp) ; standard prologue
143 $PUSHMA %r3,$FRAME(%sp)
144 $PUSH %r4,`-$FRAME+1*$SIZE_T`(%sp)
145 $PUSH %r5,`-$FRAME+2*$SIZE_T`(%sp)
146 $PUSH %r6,`-$FRAME+3*$SIZE_T`(%sp)
147 $PUSH %r7,`-$FRAME+4*$SIZE_T`(%sp)
148 $PUSH %r8,`-$FRAME+5*$SIZE_T`(%sp)
149 $PUSH %r9,`-$FRAME+6*$SIZE_T`(%sp)
150 $PUSH %r10,`-$FRAME+7*$SIZE_T`(%sp)
151 ldo -$FRAME(%sp),$fp
152___
153$code.=<<___ if ($SIZE_T==4);
154 ldw `-$FRAME_MARKER-4`($fp),$n0
155 ldw `-$FRAME_MARKER-8`($fp),$num
156 nop
157 nop ; alignment
158___
159$code.=<<___ if ($BN_SZ==4);
160 comiclr,<= 6,$num,%r0 ; are vectors long enough?
161 b L\$abort
162 ldi 0,%r28 ; signal "unhandled"
163 add,ev %r0,$num,$num ; is $num even?
164 b L\$abort
165 nop
166 or $ap,$np,$ti1
167 extru,= $ti1,31,3,%r0 ; are ap and np 64-bit aligned?
168 b L\$abort
169 nop
170 nop ; alignment
171 nop
172
173 fldws 0($n0),${fn0}
174 fldws,ma 4($bp),${fbi} ; bp[0]
175___
176$code.=<<___ if ($BN_SZ==8);
177 comib,> 3,$num,L\$abort ; are vectors long enough?
178 ldi 0,%r28 ; signal "unhandled"
179 addl $num,$num,$num ; I operate on 32-bit values
180
181 fldws 4($n0),${fn0} ; only low part of n0
182 fldws 4($bp),${fbi} ; bp[0] in flipped word order
183___
184$code.=<<___;
185 fldds 0($ap),${fai} ; ap[0,1]
186 fldds 0($np),${fni} ; np[0,1]
187
188 sh2addl $num,%r0,$arrsz
189 ldi 31,$hi0
190 ldo 36($arrsz),$hi1 ; space for tp[num+1]
191 andcm $hi1,$hi0,$hi1 ; align
192 addl $hi1,%sp,%sp
193 $PUSH $fp,-$SIZE_T(%sp)
194
195 ldo `$LOCALS+16`($fp),$xfer
196 ldo `$LOCALS+32+4`($fp),$tp
197
198 xmpyu ${fai}L,${fbi},${fab0} ; ap[0]*bp[0]
199 xmpyu ${fai}R,${fbi},${fab1} ; ap[1]*bp[0]
200 xmpyu ${fn0},${fab0}R,${fm0}
201
202 addl $arrsz,$ap,$ap ; point at the end
203 addl $arrsz,$np,$np
204 subi 0,$arrsz,$idx ; j=0
205 ldo 8($idx),$idx ; j++++
206
207 xmpyu ${fni}L,${fm0}R,${fnm0} ; np[0]*m
208 xmpyu ${fni}R,${fm0}R,${fnm1} ; np[1]*m
209 fstds ${fab0},-16($xfer)
210 fstds ${fnm0},-8($xfer)
211 fstds ${fab1},0($xfer)
212 fstds ${fnm1},8($xfer)
213 flddx $idx($ap),${fai} ; ap[2,3]
214 flddx $idx($np),${fni} ; np[2,3]
215___
216$code.=<<___ if ($BN_SZ==4);
217#ifndef __OpenBSD__
218 mtctl $hi0,%cr11 ; $hi0 still holds 31
219 extrd,u,*= $hi0,%sar,1,$hi0 ; executes on PA-RISC 1.0
220 b L\$parisc11
221 nop
222___
223$code.=<<___; # PA-RISC 2.0 code-path
224 xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[0]
225 xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
226 ldd -16($xfer),$ab0
227 fstds ${fab0},-16($xfer)
228
229 extrd,u $ab0,31,32,$hi0
230 extrd,u $ab0,63,32,$ab0
231 ldd -8($xfer),$nm0
232 fstds ${fnm0},-8($xfer)
233 ldo 8($idx),$idx ; j++++
234 addl $ab0,$nm0,$nm0 ; low part is discarded
235 extrd,u $nm0,31,32,$hi1
236
237L\$1st
238 xmpyu ${fai}R,${fbi},${fab1} ; ap[j+1]*bp[0]
239 xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j+1]*m
240 ldd 0($xfer),$ab1
241 fstds ${fab1},0($xfer)
242 addl $hi0,$ab1,$ab1
243 extrd,u $ab1,31,32,$hi0
244 ldd 8($xfer),$nm1
245 fstds ${fnm1},8($xfer)
246 extrd,u $ab1,63,32,$ab1
247 addl $hi1,$nm1,$nm1
248 flddx $idx($ap),${fai} ; ap[j,j+1]
249 flddx $idx($np),${fni} ; np[j,j+1]
250 addl $ab1,$nm1,$nm1
251 extrd,u $nm1,31,32,$hi1
252
253 xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[0]
254 xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
255 ldd -16($xfer),$ab0
256 fstds ${fab0},-16($xfer)
257 addl $hi0,$ab0,$ab0
258 extrd,u $ab0,31,32,$hi0
259 ldd -8($xfer),$nm0
260 fstds ${fnm0},-8($xfer)
261 extrd,u $ab0,63,32,$ab0
262 addl $hi1,$nm0,$nm0
263 stw $nm1,-4($tp) ; tp[j-1]
264 addl $ab0,$nm0,$nm0
265 stw,ma $nm0,8($tp) ; tp[j-1]
266 addib,<> 8,$idx,L\$1st ; j++++
267 extrd,u $nm0,31,32,$hi1
268
269 xmpyu ${fai}R,${fbi},${fab1} ; ap[j]*bp[0]
270 xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j]*m
271 ldd 0($xfer),$ab1
272 fstds ${fab1},0($xfer)
273 addl $hi0,$ab1,$ab1
274 extrd,u $ab1,31,32,$hi0
275 ldd 8($xfer),$nm1
276 fstds ${fnm1},8($xfer)
277 extrd,u $ab1,63,32,$ab1
278 addl $hi1,$nm1,$nm1
279 ldd -16($xfer),$ab0
280 addl $ab1,$nm1,$nm1
281 ldd -8($xfer),$nm0
282 extrd,u $nm1,31,32,$hi1
283
284 addl $hi0,$ab0,$ab0
285 extrd,u $ab0,31,32,$hi0
286 stw $nm1,-4($tp) ; tp[j-1]
287 extrd,u $ab0,63,32,$ab0
288 addl $hi1,$nm0,$nm0
289 ldd 0($xfer),$ab1
290 addl $ab0,$nm0,$nm0
291 ldd,mb 8($xfer),$nm1
292 extrd,u $nm0,31,32,$hi1
293 stw,ma $nm0,8($tp) ; tp[j-1]
294
295 ldo -1($num),$num ; i--
296 subi 0,$arrsz,$idx ; j=0
297___
298$code.=<<___ if ($BN_SZ==4);
299 fldws,ma 4($bp),${fbi} ; bp[1]
300___
301$code.=<<___ if ($BN_SZ==8);
302 fldws 0($bp),${fbi} ; bp[1] in flipped word order
303___
304$code.=<<___;
305 flddx $idx($ap),${fai} ; ap[0,1]
306 flddx $idx($np),${fni} ; np[0,1]
307 fldws 8($xfer),${fti}R ; tp[0]
308 addl $hi0,$ab1,$ab1
309 extrd,u $ab1,31,32,$hi0
310 extrd,u $ab1,63,32,$ab1
311 ldo 8($idx),$idx ; j++++
312 xmpyu ${fai}L,${fbi},${fab0} ; ap[0]*bp[1]
313 xmpyu ${fai}R,${fbi},${fab1} ; ap[1]*bp[1]
314 addl $hi1,$nm1,$nm1
315 addl $ab1,$nm1,$nm1
316 extrd,u $nm1,31,32,$hi1
317 fstws,mb ${fab0}L,-8($xfer) ; save high part
318 stw $nm1,-4($tp) ; tp[j-1]
319
320 fcpy,sgl %fr0,${fti}L ; zero high part
321 fcpy,sgl %fr0,${fab0}L
322 addl $hi1,$hi0,$hi0
323 extrd,u $hi0,31,32,$hi1
324 fcnvxf,dbl,dbl ${fti},${fti} ; 32-bit unsigned int -> double
325 fcnvxf,dbl,dbl ${fab0},${fab0}
326 stw $hi0,0($tp)
327 stw $hi1,4($tp)
328
329 fadd,dbl ${fti},${fab0},${fab0} ; add tp[0]
330 fcnvfx,dbl,dbl ${fab0},${fab0} ; double -> 33-bit unsigned int
331 xmpyu ${fn0},${fab0}R,${fm0}
332 ldo `$LOCALS+32+4`($fp),$tp
333L\$outer
334 xmpyu ${fni}L,${fm0}R,${fnm0} ; np[0]*m
335 xmpyu ${fni}R,${fm0}R,${fnm1} ; np[1]*m
336 fstds ${fab0},-16($xfer) ; 33-bit value
337 fstds ${fnm0},-8($xfer)
338 flddx $idx($ap),${fai} ; ap[2]
339 flddx $idx($np),${fni} ; np[2]
340 ldo 8($idx),$idx ; j++++
341 ldd -16($xfer),$ab0 ; 33-bit value
342 ldd -8($xfer),$nm0
343 ldw 0($xfer),$hi0 ; high part
344
345 xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[i]
346 xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
347 extrd,u $ab0,31,32,$ti0 ; carry bit
348 extrd,u $ab0,63,32,$ab0
349 fstds ${fab1},0($xfer)
350 addl $ti0,$hi0,$hi0 ; account carry bit
351 fstds ${fnm1},8($xfer)
352 addl $ab0,$nm0,$nm0 ; low part is discarded
353 ldw 0($tp),$ti1 ; tp[1]
354 extrd,u $nm0,31,32,$hi1
355 fstds ${fab0},-16($xfer)
356 fstds ${fnm0},-8($xfer)
357
358L\$inner
359 xmpyu ${fai}R,${fbi},${fab1} ; ap[j+1]*bp[i]
360 xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j+1]*m
361 ldd 0($xfer),$ab1
362 fstds ${fab1},0($xfer)
363 addl $hi0,$ti1,$ti1
364 addl $ti1,$ab1,$ab1
365 ldd 8($xfer),$nm1
366 fstds ${fnm1},8($xfer)
367 extrd,u $ab1,31,32,$hi0
368 extrd,u $ab1,63,32,$ab1
369 flddx $idx($ap),${fai} ; ap[j,j+1]
370 flddx $idx($np),${fni} ; np[j,j+1]
371 addl $hi1,$nm1,$nm1
372 addl $ab1,$nm1,$nm1
373 ldw 4($tp),$ti0 ; tp[j]
374 stw $nm1,-4($tp) ; tp[j-1]
375
376 xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[i]
377 xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
378 ldd -16($xfer),$ab0
379 fstds ${fab0},-16($xfer)
380 addl $hi0,$ti0,$ti0
381 addl $ti0,$ab0,$ab0
382 ldd -8($xfer),$nm0
383 fstds ${fnm0},-8($xfer)
384 extrd,u $ab0,31,32,$hi0
385 extrd,u $nm1,31,32,$hi1
386 ldw 8($tp),$ti1 ; tp[j]
387 extrd,u $ab0,63,32,$ab0
388 addl $hi1,$nm0,$nm0
389 addl $ab0,$nm0,$nm0
390 stw,ma $nm0,8($tp) ; tp[j-1]
391 addib,<> 8,$idx,L\$inner ; j++++
392 extrd,u $nm0,31,32,$hi1
393
394 xmpyu ${fai}R,${fbi},${fab1} ; ap[j]*bp[i]
395 xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j]*m
396 ldd 0($xfer),$ab1
397 fstds ${fab1},0($xfer)
398 addl $hi0,$ti1,$ti1
399 addl $ti1,$ab1,$ab1
400 ldd 8($xfer),$nm1
401 fstds ${fnm1},8($xfer)
402 extrd,u $ab1,31,32,$hi0
403 extrd,u $ab1,63,32,$ab1
404 ldw 4($tp),$ti0 ; tp[j]
405 addl $hi1,$nm1,$nm1
406 addl $ab1,$nm1,$nm1
407 ldd -16($xfer),$ab0
408 ldd -8($xfer),$nm0
409 extrd,u $nm1,31,32,$hi1
410
411 addl $hi0,$ab0,$ab0
412 addl $ti0,$ab0,$ab0
413 stw $nm1,-4($tp) ; tp[j-1]
414 extrd,u $ab0,31,32,$hi0
415 ldw 8($tp),$ti1 ; tp[j]
416 extrd,u $ab0,63,32,$ab0
417 addl $hi1,$nm0,$nm0
418 ldd 0($xfer),$ab1
419 addl $ab0,$nm0,$nm0
420 ldd,mb 8($xfer),$nm1
421 extrd,u $nm0,31,32,$hi1
422 stw,ma $nm0,8($tp) ; tp[j-1]
423
424 addib,= -1,$num,L\$outerdone ; i--
425 subi 0,$arrsz,$idx ; j=0
426___
427$code.=<<___ if ($BN_SZ==4);
428 fldws,ma 4($bp),${fbi} ; bp[i]
429___
430$code.=<<___ if ($BN_SZ==8);
431 ldi 12,$ti0 ; bp[i] in flipped word order
432 addl,ev %r0,$num,$num
433 ldi -4,$ti0
434 addl $ti0,$bp,$bp
435 fldws 0($bp),${fbi}
436___
437$code.=<<___;
438 flddx $idx($ap),${fai} ; ap[0]
439 addl $hi0,$ab1,$ab1
440 flddx $idx($np),${fni} ; np[0]
441 fldws 8($xfer),${fti}R ; tp[0]
442 addl $ti1,$ab1,$ab1
443 extrd,u $ab1,31,32,$hi0
444 extrd,u $ab1,63,32,$ab1
445
446 ldo 8($idx),$idx ; j++++
447 xmpyu ${fai}L,${fbi},${fab0} ; ap[0]*bp[i]
448 xmpyu ${fai}R,${fbi},${fab1} ; ap[1]*bp[i]
449 ldw 4($tp),$ti0 ; tp[j]
450
451 addl $hi1,$nm1,$nm1
452 fstws,mb ${fab0}L,-8($xfer) ; save high part
453 addl $ab1,$nm1,$nm1
454 extrd,u $nm1,31,32,$hi1
455 fcpy,sgl %fr0,${fti}L ; zero high part
456 fcpy,sgl %fr0,${fab0}L
457 stw $nm1,-4($tp) ; tp[j-1]
458
459 fcnvxf,dbl,dbl ${fti},${fti} ; 32-bit unsigned int -> double
460 fcnvxf,dbl,dbl ${fab0},${fab0}
461 addl $hi1,$hi0,$hi0
462 fadd,dbl ${fti},${fab0},${fab0} ; add tp[0]
463 addl $ti0,$hi0,$hi0
464 extrd,u $hi0,31,32,$hi1
465 fcnvfx,dbl,dbl ${fab0},${fab0} ; double -> 33-bit unsigned int
466 stw $hi0,0($tp)
467 stw $hi1,4($tp)
468 xmpyu ${fn0},${fab0}R,${fm0}
469
470 b L\$outer
471 ldo `$LOCALS+32+4`($fp),$tp
472
473L\$outerdone
474 addl $hi0,$ab1,$ab1
475 addl $ti1,$ab1,$ab1
476 extrd,u $ab1,31,32,$hi0
477 extrd,u $ab1,63,32,$ab1
478
479 ldw 4($tp),$ti0 ; tp[j]
480
481 addl $hi1,$nm1,$nm1
482 addl $ab1,$nm1,$nm1
483 extrd,u $nm1,31,32,$hi1
484 stw $nm1,-4($tp) ; tp[j-1]
485
486 addl $hi1,$hi0,$hi0
487 addl $ti0,$hi0,$hi0
488 extrd,u $hi0,31,32,$hi1
489 stw $hi0,0($tp)
490 stw $hi1,4($tp)
491
492 ldo `$LOCALS+32`($fp),$tp
493 sub %r0,%r0,%r0 ; clear borrow
494___
495$code.=<<___ if ($BN_SZ==4);
496 ldws,ma 4($tp),$ti0
497 extru,= $rp,31,3,%r0 ; is rp 64-bit aligned?
498 b L\$sub_pa11
499 addl $tp,$arrsz,$tp
500L\$sub
501 ldwx $idx($np),$hi0
502 subb $ti0,$hi0,$hi1
503 ldwx $idx($tp),$ti0
504 addib,<> 4,$idx,L\$sub
505 stws,ma $hi1,4($rp)
506
507 subb $ti0,%r0,$hi1
508 ldo -4($tp),$tp
509___
510$code.=<<___ if ($BN_SZ==8);
511 ldd,ma 8($tp),$ti0
512L\$sub
513 ldd $idx($np),$hi0
514 shrpd $ti0,$ti0,32,$ti0 ; flip word order
515 std $ti0,-8($tp) ; save flipped value
516 sub,db $ti0,$hi0,$hi1
517 ldd,ma 8($tp),$ti0
518 addib,<> 8,$idx,L\$sub
519 std,ma $hi1,8($rp)
520
521 extrd,u $ti0,31,32,$ti0 ; carry in flipped word order
522 sub,db $ti0,%r0,$hi1
523 ldo -8($tp),$tp
524___
525$code.=<<___;
526 and $tp,$hi1,$ap
527 andcm $rp,$hi1,$bp
528 or $ap,$bp,$np
529
530 sub $rp,$arrsz,$rp ; rewind rp
531 subi 0,$arrsz,$idx
532 ldo `$LOCALS+32`($fp),$tp
533L\$copy
534 ldd $idx($np),$hi0
535 std,ma %r0,8($tp)
536 addib,<> 8,$idx,.-8 ; L\$copy
537 std,ma $hi0,8($rp)
538___
539
540if ($BN_SZ==4) { # PA-RISC 1.1 code-path
541$ablo=$ab0;
542$abhi=$ab1;
543$nmlo0=$nm0;
544$nmhi0=$nm1;
545$nmlo1="%r9";
546$nmhi1="%r8";
547
548$code.=<<___;
549 b L\$done
550 nop
551
552 .ALIGN 8
553L\$parisc11
554#endif
555 xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[0]
556 xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
557 ldw -12($xfer),$ablo
558 ldw -16($xfer),$hi0
559 ldw -4($xfer),$nmlo0
560 ldw -8($xfer),$nmhi0
561 fstds ${fab0},-16($xfer)
562 fstds ${fnm0},-8($xfer)
563
564 ldo 8($idx),$idx ; j++++
565 add $ablo,$nmlo0,$nmlo0 ; discarded
566 addc %r0,$nmhi0,$hi1
567 ldw 4($xfer),$ablo
568 ldw 0($xfer),$abhi
569 nop
570
571L\$1st_pa11
572 xmpyu ${fai}R,${fbi},${fab1} ; ap[j+1]*bp[0]
573 flddx $idx($ap),${fai} ; ap[j,j+1]
574 xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j+1]*m
575 flddx $idx($np),${fni} ; np[j,j+1]
576 add $hi0,$ablo,$ablo
577 ldw 12($xfer),$nmlo1
578 addc %r0,$abhi,$hi0
579 ldw 8($xfer),$nmhi1
580 add $ablo,$nmlo1,$nmlo1
581 fstds ${fab1},0($xfer)
582 addc %r0,$nmhi1,$nmhi1
583 fstds ${fnm1},8($xfer)
584 add $hi1,$nmlo1,$nmlo1
585 ldw -12($xfer),$ablo
586 addc %r0,$nmhi1,$hi1
587 ldw -16($xfer),$abhi
588
589 xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[0]
590 ldw -4($xfer),$nmlo0
591 xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
592 ldw -8($xfer),$nmhi0
593 add $hi0,$ablo,$ablo
594 stw $nmlo1,-4($tp) ; tp[j-1]
595 addc %r0,$abhi,$hi0
596 fstds ${fab0},-16($xfer)
597 add $ablo,$nmlo0,$nmlo0
598 fstds ${fnm0},-8($xfer)
599 addc %r0,$nmhi0,$nmhi0
600 ldw 0($xfer),$abhi
601 add $hi1,$nmlo0,$nmlo0
602 ldw 4($xfer),$ablo
603 stws,ma $nmlo0,8($tp) ; tp[j-1]
604 addib,<> 8,$idx,L\$1st_pa11 ; j++++
605 addc %r0,$nmhi0,$hi1
606
607 ldw 8($xfer),$nmhi1
608 ldw 12($xfer),$nmlo1
609 xmpyu ${fai}R,${fbi},${fab1} ; ap[j]*bp[0]
610 xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j]*m
611 add $hi0,$ablo,$ablo
612 fstds ${fab1},0($xfer)
613 addc %r0,$abhi,$hi0
614 fstds ${fnm1},8($xfer)
615 add $ablo,$nmlo1,$nmlo1
616 ldw -16($xfer),$abhi
617 addc %r0,$nmhi1,$nmhi1
618 ldw -12($xfer),$ablo
619 add $hi1,$nmlo1,$nmlo1
620 ldw -8($xfer),$nmhi0
621 addc %r0,$nmhi1,$hi1
622 ldw -4($xfer),$nmlo0
623
624 add $hi0,$ablo,$ablo
625 stw $nmlo1,-4($tp) ; tp[j-1]
626 addc %r0,$abhi,$hi0
627 ldw 0($xfer),$abhi
628 add $ablo,$nmlo0,$nmlo0
629 ldw 4($xfer),$ablo
630 addc %r0,$nmhi0,$nmhi0
631 ldws,mb 8($xfer),$nmhi1
632 add $hi1,$nmlo0,$nmlo0
633 ldw 4($xfer),$nmlo1
634 addc %r0,$nmhi0,$hi1
635 stws,ma $nmlo0,8($tp) ; tp[j-1]
636
637 ldo -1($num),$num ; i--
638 subi 0,$arrsz,$idx ; j=0
639
640 fldws,ma 4($bp),${fbi} ; bp[1]
641 flddx $idx($ap),${fai} ; ap[0,1]
642 flddx $idx($np),${fni} ; np[0,1]
643 fldws 8($xfer),${fti}R ; tp[0]
644 add $hi0,$ablo,$ablo
645 addc %r0,$abhi,$hi0
646 ldo 8($idx),$idx ; j++++
647 xmpyu ${fai}L,${fbi},${fab0} ; ap[0]*bp[1]
648 xmpyu ${fai}R,${fbi},${fab1} ; ap[1]*bp[1]
649 add $hi1,$nmlo1,$nmlo1
650 addc %r0,$nmhi1,$nmhi1
651 add $ablo,$nmlo1,$nmlo1
652 addc %r0,$nmhi1,$hi1
653 fstws,mb ${fab0}L,-8($xfer) ; save high part
654 stw $nmlo1,-4($tp) ; tp[j-1]
655
656 fcpy,sgl %fr0,${fti}L ; zero high part
657 fcpy,sgl %fr0,${fab0}L
658 add $hi1,$hi0,$hi0
659 addc %r0,%r0,$hi1
660 fcnvxf,dbl,dbl ${fti},${fti} ; 32-bit unsigned int -> double
661 fcnvxf,dbl,dbl ${fab0},${fab0}
662 stw $hi0,0($tp)
663 stw $hi1,4($tp)
664
665 fadd,dbl ${fti},${fab0},${fab0} ; add tp[0]
666 fcnvfx,dbl,dbl ${fab0},${fab0} ; double -> 33-bit unsigned int
667 xmpyu ${fn0},${fab0}R,${fm0}
668 ldo `$LOCALS+32+4`($fp),$tp
669L\$outer_pa11
670 xmpyu ${fni}L,${fm0}R,${fnm0} ; np[0]*m
671 xmpyu ${fni}R,${fm0}R,${fnm1} ; np[1]*m
672 fstds ${fab0},-16($xfer) ; 33-bit value
673 fstds ${fnm0},-8($xfer)
674 flddx $idx($ap),${fai} ; ap[2,3]
675 flddx $idx($np),${fni} ; np[2,3]
676 ldw -16($xfer),$abhi ; carry bit actually
677 ldo 8($idx),$idx ; j++++
678 ldw -12($xfer),$ablo
679 ldw -8($xfer),$nmhi0
680 ldw -4($xfer),$nmlo0
681 ldw 0($xfer),$hi0 ; high part
682
683 xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[i]
684 xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
685 fstds ${fab1},0($xfer)
686 addl $abhi,$hi0,$hi0 ; account carry bit
687 fstds ${fnm1},8($xfer)
688 add $ablo,$nmlo0,$nmlo0 ; discarded
689 ldw 0($tp),$ti1 ; tp[1]
690 addc %r0,$nmhi0,$hi1
691 fstds ${fab0},-16($xfer)
692 fstds ${fnm0},-8($xfer)
693 ldw 4($xfer),$ablo
694 ldw 0($xfer),$abhi
695
696L\$inner_pa11
697 xmpyu ${fai}R,${fbi},${fab1} ; ap[j+1]*bp[i]
698 flddx $idx($ap),${fai} ; ap[j,j+1]
699 xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j+1]*m
700 flddx $idx($np),${fni} ; np[j,j+1]
701 add $hi0,$ablo,$ablo
702 ldw 4($tp),$ti0 ; tp[j]
703 addc %r0,$abhi,$abhi
704 ldw 12($xfer),$nmlo1
705 add $ti1,$ablo,$ablo
706 ldw 8($xfer),$nmhi1
707 addc %r0,$abhi,$hi0
708 fstds ${fab1},0($xfer)
709 add $ablo,$nmlo1,$nmlo1
710 fstds ${fnm1},8($xfer)
711 addc %r0,$nmhi1,$nmhi1
712 ldw -12($xfer),$ablo
713 add $hi1,$nmlo1,$nmlo1
714 ldw -16($xfer),$abhi
715 addc %r0,$nmhi1,$hi1
716
717 xmpyu ${fai}L,${fbi},${fab0} ; ap[j]*bp[i]
718 ldw 8($tp),$ti1 ; tp[j]
719 xmpyu ${fni}L,${fm0}R,${fnm0} ; np[j]*m
720 ldw -4($xfer),$nmlo0
721 add $hi0,$ablo,$ablo
722 ldw -8($xfer),$nmhi0
723 addc %r0,$abhi,$abhi
724 stw $nmlo1,-4($tp) ; tp[j-1]
725 add $ti0,$ablo,$ablo
726 fstds ${fab0},-16($xfer)
727 addc %r0,$abhi,$hi0
728 fstds ${fnm0},-8($xfer)
729 add $ablo,$nmlo0,$nmlo0
730 ldw 4($xfer),$ablo
731 addc %r0,$nmhi0,$nmhi0
732 ldw 0($xfer),$abhi
733 add $hi1,$nmlo0,$nmlo0
734 stws,ma $nmlo0,8($tp) ; tp[j-1]
735 addib,<> 8,$idx,L\$inner_pa11 ; j++++
736 addc %r0,$nmhi0,$hi1
737
738 xmpyu ${fai}R,${fbi},${fab1} ; ap[j]*bp[i]
739 ldw 12($xfer),$nmlo1
740 xmpyu ${fni}R,${fm0}R,${fnm1} ; np[j]*m
741 ldw 8($xfer),$nmhi1
742 add $hi0,$ablo,$ablo
743 ldw 4($tp),$ti0 ; tp[j]
744 addc %r0,$abhi,$abhi
745 fstds ${fab1},0($xfer)
746 add $ti1,$ablo,$ablo
747 fstds ${fnm1},8($xfer)
748 addc %r0,$abhi,$hi0
749 ldw -16($xfer),$abhi
750 add $ablo,$nmlo1,$nmlo1
751 ldw -12($xfer),$ablo
752 addc %r0,$nmhi1,$nmhi1
753 ldw -8($xfer),$nmhi0
754 add $hi1,$nmlo1,$nmlo1
755 ldw -4($xfer),$nmlo0
756 addc %r0,$nmhi1,$hi1
757
758 add $hi0,$ablo,$ablo
759 stw $nmlo1,-4($tp) ; tp[j-1]
760 addc %r0,$abhi,$abhi
761 add $ti0,$ablo,$ablo
762 ldw 8($tp),$ti1 ; tp[j]
763 addc %r0,$abhi,$hi0
764 ldw 0($xfer),$abhi
765 add $ablo,$nmlo0,$nmlo0
766 ldw 4($xfer),$ablo
767 addc %r0,$nmhi0,$nmhi0
768 ldws,mb 8($xfer),$nmhi1
769 add $hi1,$nmlo0,$nmlo0
770 ldw 4($xfer),$nmlo1
771 addc %r0,$nmhi0,$hi1
772 stws,ma $nmlo0,8($tp) ; tp[j-1]
773
774 addib,= -1,$num,L\$outerdone_pa11; i--
775 subi 0,$arrsz,$idx ; j=0
776
777 fldws,ma 4($bp),${fbi} ; bp[i]
778 flddx $idx($ap),${fai} ; ap[0]
779 add $hi0,$ablo,$ablo
780 addc %r0,$abhi,$abhi
781 flddx $idx($np),${fni} ; np[0]
782 fldws 8($xfer),${fti}R ; tp[0]
783 add $ti1,$ablo,$ablo
784 addc %r0,$abhi,$hi0
785
786 ldo 8($idx),$idx ; j++++
787 xmpyu ${fai}L,${fbi},${fab0} ; ap[0]*bp[i]
788 xmpyu ${fai}R,${fbi},${fab1} ; ap[1]*bp[i]
789 ldw 4($tp),$ti0 ; tp[j]
790
791 add $hi1,$nmlo1,$nmlo1
792 addc %r0,$nmhi1,$nmhi1
793 fstws,mb ${fab0}L,-8($xfer) ; save high part
794 add $ablo,$nmlo1,$nmlo1
795 addc %r0,$nmhi1,$hi1
796 fcpy,sgl %fr0,${fti}L ; zero high part
797 fcpy,sgl %fr0,${fab0}L
798 stw $nmlo1,-4($tp) ; tp[j-1]
799
800 fcnvxf,dbl,dbl ${fti},${fti} ; 32-bit unsigned int -> double
801 fcnvxf,dbl,dbl ${fab0},${fab0}
802 add $hi1,$hi0,$hi0
803 addc %r0,%r0,$hi1
804 fadd,dbl ${fti},${fab0},${fab0} ; add tp[0]
805 add $ti0,$hi0,$hi0
806 addc %r0,$hi1,$hi1
807 fcnvfx,dbl,dbl ${fab0},${fab0} ; double -> 33-bit unsigned int
808 stw $hi0,0($tp)
809 stw $hi1,4($tp)
810 xmpyu ${fn0},${fab0}R,${fm0}
811
812 b L\$outer_pa11
813 ldo `$LOCALS+32+4`($fp),$tp
814
815L\$outerdone_pa11
816 add $hi0,$ablo,$ablo
817 addc %r0,$abhi,$abhi
818 add $ti1,$ablo,$ablo
819 addc %r0,$abhi,$hi0
820
821 ldw 4($tp),$ti0 ; tp[j]
822
823 add $hi1,$nmlo1,$nmlo1
824 addc %r0,$nmhi1,$nmhi1
825 add $ablo,$nmlo1,$nmlo1
826 addc %r0,$nmhi1,$hi1
827 stw $nmlo1,-4($tp) ; tp[j-1]
828
829 add $hi1,$hi0,$hi0
830 addc %r0,%r0,$hi1
831 add $ti0,$hi0,$hi0
832 addc %r0,$hi1,$hi1
833 stw $hi0,0($tp)
834 stw $hi1,4($tp)
835
836 ldo `$LOCALS+32+4`($fp),$tp
837 sub %r0,%r0,%r0 ; clear borrow
838 ldw -4($tp),$ti0
839 addl $tp,$arrsz,$tp
840L\$sub_pa11
841 ldwx $idx($np),$hi0
842 subb $ti0,$hi0,$hi1
843 ldwx $idx($tp),$ti0
844 addib,<> 4,$idx,L\$sub_pa11
845 stws,ma $hi1,4($rp)
846
847 subb $ti0,%r0,$hi1
848 ldo -4($tp),$tp
849 and $tp,$hi1,$ap
850 andcm $rp,$hi1,$bp
851 or $ap,$bp,$np
852
853 sub $rp,$arrsz,$rp ; rewind rp
854 subi 0,$arrsz,$idx
855 ldo `$LOCALS+32`($fp),$tp
856L\$copy_pa11
857 ldwx $idx($np),$hi0
858 stws,ma %r0,4($tp)
859 addib,<> 4,$idx,L\$copy_pa11
860 stws,ma $hi0,4($rp)
861
862 nop ; alignment
863L\$done
864___
865}
866
867$code.=<<___;
868 ldi 1,%r28 ; signal "handled"
869 ldo $FRAME($fp),%sp ; destroy tp[num+1]
870
871 $POP `-$FRAME-$SAVED_RP`(%sp),%r2 ; standard epilogue
872 $POP `-$FRAME+1*$SIZE_T`(%sp),%r4
873 $POP `-$FRAME+2*$SIZE_T`(%sp),%r5
874 $POP `-$FRAME+3*$SIZE_T`(%sp),%r6
875 $POP `-$FRAME+4*$SIZE_T`(%sp),%r7
876 $POP `-$FRAME+5*$SIZE_T`(%sp),%r8
877 $POP `-$FRAME+6*$SIZE_T`(%sp),%r9
878 $POP `-$FRAME+7*$SIZE_T`(%sp),%r10
879L\$abort
880 bv (%r2)
881 .EXIT
882 $POPMB -$FRAME(%sp),%r3
883 .PROCEND
884
885 .data
886 .STRINGZ "Montgomery Multiplication for PA-RISC, CRYPTOGAMS by <appro\@openssl.org>"
887___
888
889# Explicitly encode PA-RISC 2.0 instructions used in this module, so
890# that it can be compiled with .LEVEL 1.0. It should be noted that I
891# wouldn't have to do this, if GNU assembler understood .ALLOW 2.0
892# directive...
893
894my $ldd = sub {
895 my ($mod,$args) = @_;
896 my $orig = "ldd$mod\t$args";
897
898 if ($args =~ /%r([0-9]+)\(%r([0-9]+)\),%r([0-9]+)/) # format 4
899 { my $opcode=(0x03<<26)|($2<<21)|($1<<16)|(3<<6)|$3;
900 sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig;
901 }
902 elsif ($args =~ /(\-?[0-9]+)\(%r([0-9]+)\),%r([0-9]+)/) # format 5
903 { my $opcode=(0x03<<26)|($2<<21)|(1<<12)|(3<<6)|$3;
904 $opcode|=(($1&0xF)<<17)|(($1&0x10)<<12); # encode offset
905 $opcode|=(1<<5) if ($mod =~ /^,m/);
906 $opcode|=(1<<13) if ($mod =~ /^,mb/);
907 sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig;
908 }
909 else { "\t".$orig; }
910};
911
912my $std = sub {
913 my ($mod,$args) = @_;
914 my $orig = "std$mod\t$args";
915
916 if ($args =~ /%r([0-9]+),(\-?[0-9]+)\(%r([0-9]+)\)/) # format 6
917 { my $opcode=(0x03<<26)|($3<<21)|($1<<16)|(1<<12)|(0xB<<6);
918 $opcode|=(($2&0xF)<<1)|(($2&0x10)>>4); # encode offset
919 $opcode|=(1<<5) if ($mod =~ /^,m/);
920 $opcode|=(1<<13) if ($mod =~ /^,mb/);
921 sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig;
922 }
923 else { "\t".$orig; }
924};
925
926my $extrd = sub {
927 my ($mod,$args) = @_;
928 my $orig = "extrd$mod\t$args";
929
930 # I only have ",u" completer, it's implicitly encoded...
931 if ($args =~ /%r([0-9]+),([0-9]+),([0-9]+),%r([0-9]+)/) # format 15
932 { my $opcode=(0x36<<26)|($1<<21)|($4<<16);
933 my $len=32-$3;
934 $opcode |= (($2&0x20)<<6)|(($2&0x1f)<<5); # encode pos
935 $opcode |= (($len&0x20)<<7)|($len&0x1f); # encode len
936 sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig;
937 }
938 elsif ($args =~ /%r([0-9]+),%sar,([0-9]+),%r([0-9]+)/) # format 12
939 { my $opcode=(0x34<<26)|($1<<21)|($3<<16)|(2<<11)|(1<<9);
940 my $len=32-$2;
941 $opcode |= (($len&0x20)<<3)|($len&0x1f); # encode len
942 $opcode |= (1<<13) if ($mod =~ /,\**=/);
943 sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig;
944 }
945 else { "\t".$orig; }
946};
947
948my $shrpd = sub {
949 my ($mod,$args) = @_;
950 my $orig = "shrpd$mod\t$args";
951
952 if ($args =~ /%r([0-9]+),%r([0-9]+),([0-9]+),%r([0-9]+)/) # format 14
953 { my $opcode=(0x34<<26)|($2<<21)|($1<<16)|(1<<10)|$4;
954 my $cpos=63-$3;
955 $opcode |= (($cpos&0x20)<<6)|(($cpos&0x1f)<<5); # encode sa
956 sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig;
957 }
958 else { "\t".$orig; }
959};
960
961my $sub = sub {
962 my ($mod,$args) = @_;
963 my $orig = "sub$mod\t$args";
964
965 if ($mod eq ",db" && $args =~ /%r([0-9]+),%r([0-9]+),%r([0-9]+)/) {
966 my $opcode=(0x02<<26)|($2<<21)|($1<<16)|$3;
967 $opcode|=(1<<10); # e1
968 $opcode|=(1<<8); # e2
969 $opcode|=(1<<5); # d
970 sprintf "\t.WORD\t0x%08x\t; %s",$opcode,$orig
971 }
972 else { "\t".$orig; }
973};
974
975sub assemble {
976 my ($mnemonic,$mod,$args)=@_;
977 my $opcode = eval("\$$mnemonic");
978
979 ref($opcode) eq 'CODE' ? &$opcode($mod,$args) : "\t$mnemonic$mod\t$args";
980}
981
982foreach (split("\n",$code)) {
983 s/\`([^\`]*)\`/eval $1/ge;
984 # flip word order in 64-bit mode...
985 s/(xmpyu\s+)($fai|$fni)([LR])/$1.$2.($3 eq "L"?"R":"L")/e if ($BN_SZ==8);
986 # assemble 2.0 instructions in 32-bit mode...
987 s/^\s+([a-z]+)([\S]*)\s+([\S]*)/&assemble($1,$2,$3)/e if ($BN_SZ==4);
988
989 s/\bbv\b/bve/gm if ($SIZE_T==8);
990
991 print $_,"\n";
992}
993close STDOUT;
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2025-08-04 08:53:44 +0000