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-rwxr-xr-xsrc/lib/libcrypto/bn/asm/x86_64-mont.pl1486
1 files changed, 1418 insertions, 68 deletions
diff --git a/src/lib/libcrypto/bn/asm/x86_64-mont.pl b/src/lib/libcrypto/bn/asm/x86_64-mont.pl
index 3b7a6f243f..5d79b35e1c 100755
--- a/src/lib/libcrypto/bn/asm/x86_64-mont.pl
+++ b/src/lib/libcrypto/bn/asm/x86_64-mont.pl
@@ -1,7 +1,7 @@
1#!/usr/bin/env perl 1#!/usr/bin/env perl
2 2
3# ==================================================================== 3# ====================================================================
4# Written by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL 4# Written by Andy Polyakov <appro@openssl.org> for the OpenSSL
5# project. The module is, however, dual licensed under OpenSSL and 5# project. The module is, however, dual licensed under OpenSSL and
6# CRYPTOGAMS licenses depending on where you obtain it. For further 6# CRYPTOGAMS licenses depending on where you obtain it. For further
7# details see http://www.openssl.org/~appro/cryptogams/. 7# details see http://www.openssl.org/~appro/cryptogams/.
@@ -15,6 +15,20 @@
15# respectful 50%. It remains to be seen if loop unrolling and 15# respectful 50%. It remains to be seen if loop unrolling and
16# dedicated squaring routine can provide further improvement... 16# dedicated squaring routine can provide further improvement...
17 17
18# July 2011.
19#
20# Add dedicated squaring procedure. Performance improvement varies
21# from platform to platform, but in average it's ~5%/15%/25%/33%
22# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
23
24# August 2011.
25#
26# Unroll and modulo-schedule inner loops in such manner that they
27# are "fallen through" for input lengths of 8, which is critical for
28# 1024-bit RSA *sign*. Average performance improvement in comparison
29# to *initial* version of this module from 2005 is ~0%/30%/40%/45%
30# for 512-/1024-/2048-/4096-bit RSA *sign* benchmarks respectively.
31
18$flavour = shift; 32$flavour = shift;
19$output = shift; 33$output = shift;
20if ($flavour =~ /\./) { $output = $flavour; undef $flavour; } 34if ($flavour =~ /\./) { $output = $flavour; undef $flavour; }
@@ -37,7 +51,6 @@ $n0="%r8"; # const BN_ULONG *n0,
37$num="%r9"; # int num); 51$num="%r9"; # int num);
38$lo0="%r10"; 52$lo0="%r10";
39$hi0="%r11"; 53$hi0="%r11";
40$bp="%r12"; # reassign $bp
41$hi1="%r13"; 54$hi1="%r13";
42$i="%r14"; 55$i="%r14";
43$j="%r15"; 56$j="%r15";
@@ -51,6 +64,16 @@ $code=<<___;
51.type bn_mul_mont,\@function,6 64.type bn_mul_mont,\@function,6
52.align 16 65.align 16
53bn_mul_mont: 66bn_mul_mont:
67 test \$3,${num}d
68 jnz .Lmul_enter
69 cmp \$8,${num}d
70 jb .Lmul_enter
71 cmp $ap,$bp
72 jne .Lmul4x_enter
73 jmp .Lsqr4x_enter
74
75.align 16
76.Lmul_enter:
54 push %rbx 77 push %rbx
55 push %rbp 78 push %rbp
56 push %r12 79 push %r12
@@ -66,48 +89,66 @@ bn_mul_mont:
66 and \$-1024,%rsp # minimize TLB usage 89 and \$-1024,%rsp # minimize TLB usage
67 90
68 mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp 91 mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp
69.Lprologue: 92.Lmul_body:
70 mov %rdx,$bp # $bp reassigned, remember? 93 mov $bp,%r12 # reassign $bp
71 94___
95 $bp="%r12";
96$code.=<<___;
72 mov ($n0),$n0 # pull n0[0] value 97 mov ($n0),$n0 # pull n0[0] value
98 mov ($bp),$m0 # m0=bp[0]
99 mov ($ap),%rax
73 100
74 xor $i,$i # i=0 101 xor $i,$i # i=0
75 xor $j,$j # j=0 102 xor $j,$j # j=0
76 103
77 mov ($bp),$m0 # m0=bp[0] 104 mov $n0,$m1
78 mov ($ap),%rax
79 mulq $m0 # ap[0]*bp[0] 105 mulq $m0 # ap[0]*bp[0]
80 mov %rax,$lo0 106 mov %rax,$lo0
81 mov %rdx,$hi0 107 mov ($np),%rax
82 108
83 imulq $n0,%rax # "tp[0]"*n0 109 imulq $lo0,$m1 # "tp[0]"*n0
84 mov %rax,$m1 110 mov %rdx,$hi0
85 111
86 mulq ($np) # np[0]*m1 112 mulq $m1 # np[0]*m1
87 add $lo0,%rax # discarded 113 add %rax,$lo0 # discarded
114 mov 8($ap),%rax
88 adc \$0,%rdx 115 adc \$0,%rdx
89 mov %rdx,$hi1 116 mov %rdx,$hi1
90 117
91 lea 1($j),$j # j++ 118 lea 1($j),$j # j++
119 jmp .L1st_enter
120
121.align 16
92.L1st: 122.L1st:
123 add %rax,$hi1
93 mov ($ap,$j,8),%rax 124 mov ($ap,$j,8),%rax
94 mulq $m0 # ap[j]*bp[0]
95 add $hi0,%rax
96 adc \$0,%rdx 125 adc \$0,%rdx
97 mov %rax,$lo0 126 add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0]
127 mov $lo0,$hi0
128 adc \$0,%rdx
129 mov $hi1,-16(%rsp,$j,8) # tp[j-1]
130 mov %rdx,$hi1
131
132.L1st_enter:
133 mulq $m0 # ap[j]*bp[0]
134 add %rax,$hi0
98 mov ($np,$j,8),%rax 135 mov ($np,$j,8),%rax
99 mov %rdx,$hi0 136 adc \$0,%rdx
137 lea 1($j),$j # j++
138 mov %rdx,$lo0
100 139
101 mulq $m1 # np[j]*m1 140 mulq $m1 # np[j]*m1
102 add $hi1,%rax 141 cmp $num,$j
103 lea 1($j),$j # j++ 142 jne .L1st
143
144 add %rax,$hi1
145 mov ($ap),%rax # ap[0]
104 adc \$0,%rdx 146 adc \$0,%rdx
105 add $lo0,%rax # np[j]*m1+ap[j]*bp[0] 147 add $hi0,$hi1 # np[j]*m1+ap[j]*bp[0]
106 adc \$0,%rdx 148 adc \$0,%rdx
107 mov %rax,-16(%rsp,$j,8) # tp[j-1] 149 mov $hi1,-16(%rsp,$j,8) # tp[j-1]
108 cmp $num,$j
109 mov %rdx,$hi1 150 mov %rdx,$hi1
110 jl .L1st 151 mov $lo0,$hi0
111 152
112 xor %rdx,%rdx 153 xor %rdx,%rdx
113 add $hi0,$hi1 154 add $hi0,$hi1
@@ -116,50 +157,64 @@ bn_mul_mont:
116 mov %rdx,(%rsp,$num,8) # store upmost overflow bit 157 mov %rdx,(%rsp,$num,8) # store upmost overflow bit
117 158
118 lea 1($i),$i # i++ 159 lea 1($i),$i # i++
119.align 4 160 jmp .Louter
161.align 16
120.Louter: 162.Louter:
121 xor $j,$j # j=0
122
123 mov ($bp,$i,8),$m0 # m0=bp[i] 163 mov ($bp,$i,8),$m0 # m0=bp[i]
124 mov ($ap),%rax # ap[0] 164 xor $j,$j # j=0
165 mov $n0,$m1
166 mov (%rsp),$lo0
125 mulq $m0 # ap[0]*bp[i] 167 mulq $m0 # ap[0]*bp[i]
126 add (%rsp),%rax # ap[0]*bp[i]+tp[0] 168 add %rax,$lo0 # ap[0]*bp[i]+tp[0]
169 mov ($np),%rax
127 adc \$0,%rdx 170 adc \$0,%rdx
128 mov %rax,$lo0
129 mov %rdx,$hi0
130 171
131 imulq $n0,%rax # tp[0]*n0 172 imulq $lo0,$m1 # tp[0]*n0
132 mov %rax,$m1 173 mov %rdx,$hi0
133 174
134 mulq ($np,$j,8) # np[0]*m1 175 mulq $m1 # np[0]*m1
135 add $lo0,%rax # discarded 176 add %rax,$lo0 # discarded
136 mov 8(%rsp),$lo0 # tp[1] 177 mov 8($ap),%rax
137 adc \$0,%rdx 178 adc \$0,%rdx
179 mov 8(%rsp),$lo0 # tp[1]
138 mov %rdx,$hi1 180 mov %rdx,$hi1
139 181
140 lea 1($j),$j # j++ 182 lea 1($j),$j # j++
141.align 4 183 jmp .Linner_enter
184
185.align 16
142.Linner: 186.Linner:
187 add %rax,$hi1
143 mov ($ap,$j,8),%rax 188 mov ($ap,$j,8),%rax
144 mulq $m0 # ap[j]*bp[i]
145 add $hi0,%rax
146 adc \$0,%rdx 189 adc \$0,%rdx
147 add %rax,$lo0 # ap[j]*bp[i]+tp[j] 190 add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j]
191 mov (%rsp,$j,8),$lo0
192 adc \$0,%rdx
193 mov $hi1,-16(%rsp,$j,8) # tp[j-1]
194 mov %rdx,$hi1
195
196.Linner_enter:
197 mulq $m0 # ap[j]*bp[i]
198 add %rax,$hi0
148 mov ($np,$j,8),%rax 199 mov ($np,$j,8),%rax
149 adc \$0,%rdx 200 adc \$0,%rdx
201 add $hi0,$lo0 # ap[j]*bp[i]+tp[j]
150 mov %rdx,$hi0 202 mov %rdx,$hi0
203 adc \$0,$hi0
204 lea 1($j),$j # j++
151 205
152 mulq $m1 # np[j]*m1 206 mulq $m1 # np[j]*m1
153 add $hi1,%rax 207 cmp $num,$j
154 lea 1($j),$j # j++ 208 jne .Linner
155 adc \$0,%rdx 209
156 add $lo0,%rax # np[j]*m1+ap[j]*bp[i]+tp[j] 210 add %rax,$hi1
211 mov ($ap),%rax # ap[0]
157 adc \$0,%rdx 212 adc \$0,%rdx
213 add $lo0,$hi1 # np[j]*m1+ap[j]*bp[i]+tp[j]
158 mov (%rsp,$j,8),$lo0 214 mov (%rsp,$j,8),$lo0
159 cmp $num,$j 215 adc \$0,%rdx
160 mov %rax,-16(%rsp,$j,8) # tp[j-1] 216 mov $hi1,-16(%rsp,$j,8) # tp[j-1]
161 mov %rdx,$hi1 217 mov %rdx,$hi1
162 jl .Linner
163 218
164 xor %rdx,%rdx 219 xor %rdx,%rdx
165 add $hi0,$hi1 220 add $hi0,$hi1
@@ -173,35 +228,449 @@ bn_mul_mont:
173 cmp $num,$i 228 cmp $num,$i
174 jl .Louter 229 jl .Louter
175 230
176 lea (%rsp),$ap # borrow ap for tp
177 lea -1($num),$j # j=num-1
178
179 mov ($ap),%rax # tp[0]
180 xor $i,$i # i=0 and clear CF! 231 xor $i,$i # i=0 and clear CF!
232 mov (%rsp),%rax # tp[0]
233 lea (%rsp),$ap # borrow ap for tp
234 mov $num,$j # j=num
181 jmp .Lsub 235 jmp .Lsub
182.align 16 236.align 16
183.Lsub: sbb ($np,$i,8),%rax 237.Lsub: sbb ($np,$i,8),%rax
184 mov %rax,($rp,$i,8) # rp[i]=tp[i]-np[i] 238 mov %rax,($rp,$i,8) # rp[i]=tp[i]-np[i]
185 dec $j # doesn't affect CF!
186 mov 8($ap,$i,8),%rax # tp[i+1] 239 mov 8($ap,$i,8),%rax # tp[i+1]
187 lea 1($i),$i # i++ 240 lea 1($i),$i # i++
188 jge .Lsub 241 dec $j # doesnn't affect CF!
242 jnz .Lsub
189 243
190 sbb \$0,%rax # handle upmost overflow bit 244 sbb \$0,%rax # handle upmost overflow bit
245 xor $i,$i
191 and %rax,$ap 246 and %rax,$ap
192 not %rax 247 not %rax
193 mov $rp,$np 248 mov $rp,$np
194 and %rax,$np 249 and %rax,$np
195 lea -1($num),$j 250 mov $num,$j # j=num
196 or $np,$ap # ap=borrow?tp:rp 251 or $np,$ap # ap=borrow?tp:rp
197.align 16 252.align 16
198.Lcopy: # copy or in-place refresh 253.Lcopy: # copy or in-place refresh
254 mov ($ap,$i,8),%rax
255 mov $i,(%rsp,$i,8) # zap temporary vector
256 mov %rax,($rp,$i,8) # rp[i]=tp[i]
257 lea 1($i),$i
258 sub \$1,$j
259 jnz .Lcopy
260
261 mov 8(%rsp,$num,8),%rsi # restore %rsp
262 mov \$1,%rax
263 mov (%rsi),%r15
264 mov 8(%rsi),%r14
265 mov 16(%rsi),%r13
266 mov 24(%rsi),%r12
267 mov 32(%rsi),%rbp
268 mov 40(%rsi),%rbx
269 lea 48(%rsi),%rsp
270.Lmul_epilogue:
271 ret
272.size bn_mul_mont,.-bn_mul_mont
273___
274{{{
275my @A=("%r10","%r11");
276my @N=("%r13","%rdi");
277$code.=<<___;
278.type bn_mul4x_mont,\@function,6
279.align 16
280bn_mul4x_mont:
281.Lmul4x_enter:
282 push %rbx
283 push %rbp
284 push %r12
285 push %r13
286 push %r14
287 push %r15
288
289 mov ${num}d,${num}d
290 lea 4($num),%r10
291 mov %rsp,%r11
292 neg %r10
293 lea (%rsp,%r10,8),%rsp # tp=alloca(8*(num+4))
294 and \$-1024,%rsp # minimize TLB usage
295
296 mov %r11,8(%rsp,$num,8) # tp[num+1]=%rsp
297.Lmul4x_body:
298 mov $rp,16(%rsp,$num,8) # tp[num+2]=$rp
299 mov %rdx,%r12 # reassign $bp
300___
301 $bp="%r12";
302$code.=<<___;
303 mov ($n0),$n0 # pull n0[0] value
304 mov ($bp),$m0 # m0=bp[0]
305 mov ($ap),%rax
306
307 xor $i,$i # i=0
308 xor $j,$j # j=0
309
310 mov $n0,$m1
311 mulq $m0 # ap[0]*bp[0]
312 mov %rax,$A[0]
313 mov ($np),%rax
314
315 imulq $A[0],$m1 # "tp[0]"*n0
316 mov %rdx,$A[1]
317
318 mulq $m1 # np[0]*m1
319 add %rax,$A[0] # discarded
320 mov 8($ap),%rax
321 adc \$0,%rdx
322 mov %rdx,$N[1]
323
324 mulq $m0
325 add %rax,$A[1]
326 mov 8($np),%rax
327 adc \$0,%rdx
328 mov %rdx,$A[0]
329
330 mulq $m1
331 add %rax,$N[1]
332 mov 16($ap),%rax
333 adc \$0,%rdx
334 add $A[1],$N[1]
335 lea 4($j),$j # j++
336 adc \$0,%rdx
337 mov $N[1],(%rsp)
338 mov %rdx,$N[0]
339 jmp .L1st4x
340.align 16
341.L1st4x:
342 mulq $m0 # ap[j]*bp[0]
343 add %rax,$A[0]
344 mov -16($np,$j,8),%rax
345 adc \$0,%rdx
346 mov %rdx,$A[1]
347
348 mulq $m1 # np[j]*m1
349 add %rax,$N[0]
350 mov -8($ap,$j,8),%rax
351 adc \$0,%rdx
352 add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
353 adc \$0,%rdx
354 mov $N[0],-24(%rsp,$j,8) # tp[j-1]
355 mov %rdx,$N[1]
356
357 mulq $m0 # ap[j]*bp[0]
358 add %rax,$A[1]
359 mov -8($np,$j,8),%rax
360 adc \$0,%rdx
361 mov %rdx,$A[0]
362
363 mulq $m1 # np[j]*m1
364 add %rax,$N[1]
199 mov ($ap,$j,8),%rax 365 mov ($ap,$j,8),%rax
200 mov %rax,($rp,$j,8) # rp[i]=tp[i] 366 adc \$0,%rdx
201 mov $i,(%rsp,$j,8) # zap temporary vector 367 add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
368 adc \$0,%rdx
369 mov $N[1],-16(%rsp,$j,8) # tp[j-1]
370 mov %rdx,$N[0]
371
372 mulq $m0 # ap[j]*bp[0]
373 add %rax,$A[0]
374 mov ($np,$j,8),%rax
375 adc \$0,%rdx
376 mov %rdx,$A[1]
377
378 mulq $m1 # np[j]*m1
379 add %rax,$N[0]
380 mov 8($ap,$j,8),%rax
381 adc \$0,%rdx
382 add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
383 adc \$0,%rdx
384 mov $N[0],-8(%rsp,$j,8) # tp[j-1]
385 mov %rdx,$N[1]
386
387 mulq $m0 # ap[j]*bp[0]
388 add %rax,$A[1]
389 mov 8($np,$j,8),%rax
390 adc \$0,%rdx
391 lea 4($j),$j # j++
392 mov %rdx,$A[0]
393
394 mulq $m1 # np[j]*m1
395 add %rax,$N[1]
396 mov -16($ap,$j,8),%rax
397 adc \$0,%rdx
398 add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
399 adc \$0,%rdx
400 mov $N[1],-32(%rsp,$j,8) # tp[j-1]
401 mov %rdx,$N[0]
402 cmp $num,$j
403 jl .L1st4x
404
405 mulq $m0 # ap[j]*bp[0]
406 add %rax,$A[0]
407 mov -16($np,$j,8),%rax
408 adc \$0,%rdx
409 mov %rdx,$A[1]
410
411 mulq $m1 # np[j]*m1
412 add %rax,$N[0]
413 mov -8($ap,$j,8),%rax
414 adc \$0,%rdx
415 add $A[0],$N[0] # np[j]*m1+ap[j]*bp[0]
416 adc \$0,%rdx
417 mov $N[0],-24(%rsp,$j,8) # tp[j-1]
418 mov %rdx,$N[1]
419
420 mulq $m0 # ap[j]*bp[0]
421 add %rax,$A[1]
422 mov -8($np,$j,8),%rax
423 adc \$0,%rdx
424 mov %rdx,$A[0]
425
426 mulq $m1 # np[j]*m1
427 add %rax,$N[1]
428 mov ($ap),%rax # ap[0]
429 adc \$0,%rdx
430 add $A[1],$N[1] # np[j]*m1+ap[j]*bp[0]
431 adc \$0,%rdx
432 mov $N[1],-16(%rsp,$j,8) # tp[j-1]
433 mov %rdx,$N[0]
434
435 xor $N[1],$N[1]
436 add $A[0],$N[0]
437 adc \$0,$N[1]
438 mov $N[0],-8(%rsp,$j,8)
439 mov $N[1],(%rsp,$j,8) # store upmost overflow bit
440
441 lea 1($i),$i # i++
442.align 4
443.Louter4x:
444 mov ($bp,$i,8),$m0 # m0=bp[i]
445 xor $j,$j # j=0
446 mov (%rsp),$A[0]
447 mov $n0,$m1
448 mulq $m0 # ap[0]*bp[i]
449 add %rax,$A[0] # ap[0]*bp[i]+tp[0]
450 mov ($np),%rax
451 adc \$0,%rdx
452
453 imulq $A[0],$m1 # tp[0]*n0
454 mov %rdx,$A[1]
455
456 mulq $m1 # np[0]*m1
457 add %rax,$A[0] # "$N[0]", discarded
458 mov 8($ap),%rax
459 adc \$0,%rdx
460 mov %rdx,$N[1]
461
462 mulq $m0 # ap[j]*bp[i]
463 add %rax,$A[1]
464 mov 8($np),%rax
465 adc \$0,%rdx
466 add 8(%rsp),$A[1] # +tp[1]
467 adc \$0,%rdx
468 mov %rdx,$A[0]
469
470 mulq $m1 # np[j]*m1
471 add %rax,$N[1]
472 mov 16($ap),%rax
473 adc \$0,%rdx
474 add $A[1],$N[1] # np[j]*m1+ap[j]*bp[i]+tp[j]
475 lea 4($j),$j # j+=2
476 adc \$0,%rdx
477 mov $N[1],(%rsp) # tp[j-1]
478 mov %rdx,$N[0]
479 jmp .Linner4x
480.align 16
481.Linner4x:
482 mulq $m0 # ap[j]*bp[i]
483 add %rax,$A[0]
484 mov -16($np,$j,8),%rax
485 adc \$0,%rdx
486 add -16(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j]
487 adc \$0,%rdx
488 mov %rdx,$A[1]
489
490 mulq $m1 # np[j]*m1
491 add %rax,$N[0]
492 mov -8($ap,$j,8),%rax
493 adc \$0,%rdx
494 add $A[0],$N[0]
495 adc \$0,%rdx
496 mov $N[0],-24(%rsp,$j,8) # tp[j-1]
497 mov %rdx,$N[1]
498
499 mulq $m0 # ap[j]*bp[i]
500 add %rax,$A[1]
501 mov -8($np,$j,8),%rax
502 adc \$0,%rdx
503 add -8(%rsp,$j,8),$A[1]
504 adc \$0,%rdx
505 mov %rdx,$A[0]
506
507 mulq $m1 # np[j]*m1
508 add %rax,$N[1]
509 mov ($ap,$j,8),%rax
510 adc \$0,%rdx
511 add $A[1],$N[1]
512 adc \$0,%rdx
513 mov $N[1],-16(%rsp,$j,8) # tp[j-1]
514 mov %rdx,$N[0]
515
516 mulq $m0 # ap[j]*bp[i]
517 add %rax,$A[0]
518 mov ($np,$j,8),%rax
519 adc \$0,%rdx
520 add (%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j]
521 adc \$0,%rdx
522 mov %rdx,$A[1]
523
524 mulq $m1 # np[j]*m1
525 add %rax,$N[0]
526 mov 8($ap,$j,8),%rax
527 adc \$0,%rdx
528 add $A[0],$N[0]
529 adc \$0,%rdx
530 mov $N[0],-8(%rsp,$j,8) # tp[j-1]
531 mov %rdx,$N[1]
532
533 mulq $m0 # ap[j]*bp[i]
534 add %rax,$A[1]
535 mov 8($np,$j,8),%rax
536 adc \$0,%rdx
537 add 8(%rsp,$j,8),$A[1]
538 adc \$0,%rdx
539 lea 4($j),$j # j++
540 mov %rdx,$A[0]
541
542 mulq $m1 # np[j]*m1
543 add %rax,$N[1]
544 mov -16($ap,$j,8),%rax
545 adc \$0,%rdx
546 add $A[1],$N[1]
547 adc \$0,%rdx
548 mov $N[1],-32(%rsp,$j,8) # tp[j-1]
549 mov %rdx,$N[0]
550 cmp $num,$j
551 jl .Linner4x
552
553 mulq $m0 # ap[j]*bp[i]
554 add %rax,$A[0]
555 mov -16($np,$j,8),%rax
556 adc \$0,%rdx
557 add -16(%rsp,$j,8),$A[0] # ap[j]*bp[i]+tp[j]
558 adc \$0,%rdx
559 mov %rdx,$A[1]
560
561 mulq $m1 # np[j]*m1
562 add %rax,$N[0]
563 mov -8($ap,$j,8),%rax
564 adc \$0,%rdx
565 add $A[0],$N[0]
566 adc \$0,%rdx
567 mov $N[0],-24(%rsp,$j,8) # tp[j-1]
568 mov %rdx,$N[1]
569
570 mulq $m0 # ap[j]*bp[i]
571 add %rax,$A[1]
572 mov -8($np,$j,8),%rax
573 adc \$0,%rdx
574 add -8(%rsp,$j,8),$A[1]
575 adc \$0,%rdx
576 lea 1($i),$i # i++
577 mov %rdx,$A[0]
578
579 mulq $m1 # np[j]*m1
580 add %rax,$N[1]
581 mov ($ap),%rax # ap[0]
582 adc \$0,%rdx
583 add $A[1],$N[1]
584 adc \$0,%rdx
585 mov $N[1],-16(%rsp,$j,8) # tp[j-1]
586 mov %rdx,$N[0]
587
588 xor $N[1],$N[1]
589 add $A[0],$N[0]
590 adc \$0,$N[1]
591 add (%rsp,$num,8),$N[0] # pull upmost overflow bit
592 adc \$0,$N[1]
593 mov $N[0],-8(%rsp,$j,8)
594 mov $N[1],(%rsp,$j,8) # store upmost overflow bit
595
596 cmp $num,$i
597 jl .Louter4x
598___
599{
600my @ri=("%rax","%rdx",$m0,$m1);
601$code.=<<___;
602 mov 16(%rsp,$num,8),$rp # restore $rp
603 mov 0(%rsp),@ri[0] # tp[0]
604 pxor %xmm0,%xmm0
605 mov 8(%rsp),@ri[1] # tp[1]
606 shr \$2,$num # num/=4
607 lea (%rsp),$ap # borrow ap for tp
608 xor $i,$i # i=0 and clear CF!
609
610 sub 0($np),@ri[0]
611 mov 16($ap),@ri[2] # tp[2]
612 mov 24($ap),@ri[3] # tp[3]
613 sbb 8($np),@ri[1]
614 lea -1($num),$j # j=num/4-1
615 jmp .Lsub4x
616.align 16
617.Lsub4x:
618 mov @ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i]
619 mov @ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i]
620 sbb 16($np,$i,8),@ri[2]
621 mov 32($ap,$i,8),@ri[0] # tp[i+1]
622 mov 40($ap,$i,8),@ri[1]
623 sbb 24($np,$i,8),@ri[3]
624 mov @ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i]
625 mov @ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i]
626 sbb 32($np,$i,8),@ri[0]
627 mov 48($ap,$i,8),@ri[2]
628 mov 56($ap,$i,8),@ri[3]
629 sbb 40($np,$i,8),@ri[1]
630 lea 4($i),$i # i++
631 dec $j # doesnn't affect CF!
632 jnz .Lsub4x
633
634 mov @ri[0],0($rp,$i,8) # rp[i]=tp[i]-np[i]
635 mov 32($ap,$i,8),@ri[0] # load overflow bit
636 sbb 16($np,$i,8),@ri[2]
637 mov @ri[1],8($rp,$i,8) # rp[i]=tp[i]-np[i]
638 sbb 24($np,$i,8),@ri[3]
639 mov @ri[2],16($rp,$i,8) # rp[i]=tp[i]-np[i]
640
641 sbb \$0,@ri[0] # handle upmost overflow bit
642 mov @ri[3],24($rp,$i,8) # rp[i]=tp[i]-np[i]
643 xor $i,$i # i=0
644 and @ri[0],$ap
645 not @ri[0]
646 mov $rp,$np
647 and @ri[0],$np
648 lea -1($num),$j
649 or $np,$ap # ap=borrow?tp:rp
650
651 movdqu ($ap),%xmm1
652 movdqa %xmm0,(%rsp)
653 movdqu %xmm1,($rp)
654 jmp .Lcopy4x
655.align 16
656.Lcopy4x: # copy or in-place refresh
657 movdqu 16($ap,$i),%xmm2
658 movdqu 32($ap,$i),%xmm1
659 movdqa %xmm0,16(%rsp,$i)
660 movdqu %xmm2,16($rp,$i)
661 movdqa %xmm0,32(%rsp,$i)
662 movdqu %xmm1,32($rp,$i)
663 lea 32($i),$i
202 dec $j 664 dec $j
203 jge .Lcopy 665 jnz .Lcopy4x
204 666
667 shl \$2,$num
668 movdqu 16($ap,$i),%xmm2
669 movdqa %xmm0,16(%rsp,$i)
670 movdqu %xmm2,16($rp,$i)
671___
672}
673$code.=<<___;
205 mov 8(%rsp,$num,8),%rsi # restore %rsp 674 mov 8(%rsp,$num,8),%rsi # restore %rsp
206 mov \$1,%rax 675 mov \$1,%rax
207 mov (%rsi),%r15 676 mov (%rsi),%r15
@@ -211,9 +680,823 @@ bn_mul_mont:
211 mov 32(%rsi),%rbp 680 mov 32(%rsi),%rbp
212 mov 40(%rsi),%rbx 681 mov 40(%rsi),%rbx
213 lea 48(%rsi),%rsp 682 lea 48(%rsi),%rsp
214.Lepilogue: 683.Lmul4x_epilogue:
215 ret 684 ret
216.size bn_mul_mont,.-bn_mul_mont 685.size bn_mul4x_mont,.-bn_mul4x_mont
686___
687}}}
688 {{{
689######################################################################
690# void bn_sqr4x_mont(
691my $rptr="%rdi"; # const BN_ULONG *rptr,
692my $aptr="%rsi"; # const BN_ULONG *aptr,
693my $bptr="%rdx"; # not used
694my $nptr="%rcx"; # const BN_ULONG *nptr,
695my $n0 ="%r8"; # const BN_ULONG *n0);
696my $num ="%r9"; # int num, has to be divisible by 4 and
697 # not less than 8
698
699my ($i,$j,$tptr)=("%rbp","%rcx",$rptr);
700my @A0=("%r10","%r11");
701my @A1=("%r12","%r13");
702my ($a0,$a1,$ai)=("%r14","%r15","%rbx");
703
704$code.=<<___;
705.type bn_sqr4x_mont,\@function,6
706.align 16
707bn_sqr4x_mont:
708.Lsqr4x_enter:
709 push %rbx
710 push %rbp
711 push %r12
712 push %r13
713 push %r14
714 push %r15
715
716 shl \$3,${num}d # convert $num to bytes
717 xor %r10,%r10
718 mov %rsp,%r11 # put aside %rsp
719 sub $num,%r10 # -$num
720 mov ($n0),$n0 # *n0
721 lea -72(%rsp,%r10,2),%rsp # alloca(frame+2*$num)
722 and \$-1024,%rsp # minimize TLB usage
723 ##############################################################
724 # Stack layout
725 #
726 # +0 saved $num, used in reduction section
727 # +8 &t[2*$num], used in reduction section
728 # +32 saved $rptr
729 # +40 saved $nptr
730 # +48 saved *n0
731 # +56 saved %rsp
732 # +64 t[2*$num]
733 #
734 mov $rptr,32(%rsp) # save $rptr
735 mov $nptr,40(%rsp)
736 mov $n0, 48(%rsp)
737 mov %r11, 56(%rsp) # save original %rsp
738.Lsqr4x_body:
739 ##############################################################
740 # Squaring part:
741 #
742 # a) multiply-n-add everything but a[i]*a[i];
743 # b) shift result of a) by 1 to the left and accumulate
744 # a[i]*a[i] products;
745 #
746 lea 32(%r10),$i # $i=-($num-32)
747 lea ($aptr,$num),$aptr # end of a[] buffer, ($aptr,$i)=&ap[2]
748
749 mov $num,$j # $j=$num
750
751 # comments apply to $num==8 case
752 mov -32($aptr,$i),$a0 # a[0]
753 lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num]
754 mov -24($aptr,$i),%rax # a[1]
755 lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"]
756 mov -16($aptr,$i),$ai # a[2]
757 mov %rax,$a1
758
759 mul $a0 # a[1]*a[0]
760 mov %rax,$A0[0] # a[1]*a[0]
761 mov $ai,%rax # a[2]
762 mov %rdx,$A0[1]
763 mov $A0[0],-24($tptr,$i) # t[1]
764
765 xor $A0[0],$A0[0]
766 mul $a0 # a[2]*a[0]
767 add %rax,$A0[1]
768 mov $ai,%rax
769 adc %rdx,$A0[0]
770 mov $A0[1],-16($tptr,$i) # t[2]
771
772 lea -16($i),$j # j=-16
773
774
775 mov 8($aptr,$j),$ai # a[3]
776 mul $a1 # a[2]*a[1]
777 mov %rax,$A1[0] # a[2]*a[1]+t[3]
778 mov $ai,%rax
779 mov %rdx,$A1[1]
780
781 xor $A0[1],$A0[1]
782 add $A1[0],$A0[0]
783 lea 16($j),$j
784 adc \$0,$A0[1]
785 mul $a0 # a[3]*a[0]
786 add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3]
787 mov $ai,%rax
788 adc %rdx,$A0[1]
789 mov $A0[0],-8($tptr,$j) # t[3]
790 jmp .Lsqr4x_1st
791
792.align 16
793.Lsqr4x_1st:
794 mov ($aptr,$j),$ai # a[4]
795 xor $A1[0],$A1[0]
796 mul $a1 # a[3]*a[1]
797 add %rax,$A1[1] # a[3]*a[1]+t[4]
798 mov $ai,%rax
799 adc %rdx,$A1[0]
800
801 xor $A0[0],$A0[0]
802 add $A1[1],$A0[1]
803 adc \$0,$A0[0]
804 mul $a0 # a[4]*a[0]
805 add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4]
806 mov $ai,%rax # a[3]
807 adc %rdx,$A0[0]
808 mov $A0[1],($tptr,$j) # t[4]
809
810
811 mov 8($aptr,$j),$ai # a[5]
812 xor $A1[1],$A1[1]
813 mul $a1 # a[4]*a[3]
814 add %rax,$A1[0] # a[4]*a[3]+t[5]
815 mov $ai,%rax
816 adc %rdx,$A1[1]
817
818 xor $A0[1],$A0[1]
819 add $A1[0],$A0[0]
820 adc \$0,$A0[1]
821 mul $a0 # a[5]*a[2]
822 add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5]
823 mov $ai,%rax
824 adc %rdx,$A0[1]
825 mov $A0[0],8($tptr,$j) # t[5]
826
827 mov 16($aptr,$j),$ai # a[6]
828 xor $A1[0],$A1[0]
829 mul $a1 # a[5]*a[3]
830 add %rax,$A1[1] # a[5]*a[3]+t[6]
831 mov $ai,%rax
832 adc %rdx,$A1[0]
833
834 xor $A0[0],$A0[0]
835 add $A1[1],$A0[1]
836 adc \$0,$A0[0]
837 mul $a0 # a[6]*a[2]
838 add %rax,$A0[1] # a[6]*a[2]+a[5]*a[3]+t[6]
839 mov $ai,%rax # a[3]
840 adc %rdx,$A0[0]
841 mov $A0[1],16($tptr,$j) # t[6]
842
843
844 mov 24($aptr,$j),$ai # a[7]
845 xor $A1[1],$A1[1]
846 mul $a1 # a[6]*a[5]
847 add %rax,$A1[0] # a[6]*a[5]+t[7]
848 mov $ai,%rax
849 adc %rdx,$A1[1]
850
851 xor $A0[1],$A0[1]
852 add $A1[0],$A0[0]
853 lea 32($j),$j
854 adc \$0,$A0[1]
855 mul $a0 # a[7]*a[4]
856 add %rax,$A0[0] # a[7]*a[4]+a[6]*a[5]+t[6]
857 mov $ai,%rax
858 adc %rdx,$A0[1]
859 mov $A0[0],-8($tptr,$j) # t[7]
860
861 cmp \$0,$j
862 jne .Lsqr4x_1st
863
864 xor $A1[0],$A1[0]
865 add $A0[1],$A1[1]
866 adc \$0,$A1[0]
867 mul $a1 # a[7]*a[5]
868 add %rax,$A1[1]
869 adc %rdx,$A1[0]
870
871 mov $A1[1],($tptr) # t[8]
872 lea 16($i),$i
873 mov $A1[0],8($tptr) # t[9]
874 jmp .Lsqr4x_outer
875
876.align 16
877.Lsqr4x_outer: # comments apply to $num==6 case
878 mov -32($aptr,$i),$a0 # a[0]
879 lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num]
880 mov -24($aptr,$i),%rax # a[1]
881 lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"]
882 mov -16($aptr,$i),$ai # a[2]
883 mov %rax,$a1
884
885 mov -24($tptr,$i),$A0[0] # t[1]
886 xor $A0[1],$A0[1]
887 mul $a0 # a[1]*a[0]
888 add %rax,$A0[0] # a[1]*a[0]+t[1]
889 mov $ai,%rax # a[2]
890 adc %rdx,$A0[1]
891 mov $A0[0],-24($tptr,$i) # t[1]
892
893 xor $A0[0],$A0[0]
894 add -16($tptr,$i),$A0[1] # a[2]*a[0]+t[2]
895 adc \$0,$A0[0]
896 mul $a0 # a[2]*a[0]
897 add %rax,$A0[1]
898 mov $ai,%rax
899 adc %rdx,$A0[0]
900 mov $A0[1],-16($tptr,$i) # t[2]
901
902 lea -16($i),$j # j=-16
903 xor $A1[0],$A1[0]
904
905
906 mov 8($aptr,$j),$ai # a[3]
907 xor $A1[1],$A1[1]
908 add 8($tptr,$j),$A1[0]
909 adc \$0,$A1[1]
910 mul $a1 # a[2]*a[1]
911 add %rax,$A1[0] # a[2]*a[1]+t[3]
912 mov $ai,%rax
913 adc %rdx,$A1[1]
914
915 xor $A0[1],$A0[1]
916 add $A1[0],$A0[0]
917 adc \$0,$A0[1]
918 mul $a0 # a[3]*a[0]
919 add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3]
920 mov $ai,%rax
921 adc %rdx,$A0[1]
922 mov $A0[0],8($tptr,$j) # t[3]
923
924 lea 16($j),$j
925 jmp .Lsqr4x_inner
926
927.align 16
928.Lsqr4x_inner:
929 mov ($aptr,$j),$ai # a[4]
930 xor $A1[0],$A1[0]
931 add ($tptr,$j),$A1[1]
932 adc \$0,$A1[0]
933 mul $a1 # a[3]*a[1]
934 add %rax,$A1[1] # a[3]*a[1]+t[4]
935 mov $ai,%rax
936 adc %rdx,$A1[0]
937
938 xor $A0[0],$A0[0]
939 add $A1[1],$A0[1]
940 adc \$0,$A0[0]
941 mul $a0 # a[4]*a[0]
942 add %rax,$A0[1] # a[4]*a[0]+a[3]*a[1]+t[4]
943 mov $ai,%rax # a[3]
944 adc %rdx,$A0[0]
945 mov $A0[1],($tptr,$j) # t[4]
946
947 mov 8($aptr,$j),$ai # a[5]
948 xor $A1[1],$A1[1]
949 add 8($tptr,$j),$A1[0]
950 adc \$0,$A1[1]
951 mul $a1 # a[4]*a[3]
952 add %rax,$A1[0] # a[4]*a[3]+t[5]
953 mov $ai,%rax
954 adc %rdx,$A1[1]
955
956 xor $A0[1],$A0[1]
957 add $A1[0],$A0[0]
958 lea 16($j),$j # j++
959 adc \$0,$A0[1]
960 mul $a0 # a[5]*a[2]
961 add %rax,$A0[0] # a[5]*a[2]+a[4]*a[3]+t[5]
962 mov $ai,%rax
963 adc %rdx,$A0[1]
964 mov $A0[0],-8($tptr,$j) # t[5], "preloaded t[1]" below
965
966 cmp \$0,$j
967 jne .Lsqr4x_inner
968
969 xor $A1[0],$A1[0]
970 add $A0[1],$A1[1]
971 adc \$0,$A1[0]
972 mul $a1 # a[5]*a[3]
973 add %rax,$A1[1]
974 adc %rdx,$A1[0]
975
976 mov $A1[1],($tptr) # t[6], "preloaded t[2]" below
977 mov $A1[0],8($tptr) # t[7], "preloaded t[3]" below
978
979 add \$16,$i
980 jnz .Lsqr4x_outer
981
982 # comments apply to $num==4 case
983 mov -32($aptr),$a0 # a[0]
984 lea 64(%rsp,$num,2),$tptr # end of tp[] buffer, &tp[2*$num]
985 mov -24($aptr),%rax # a[1]
986 lea -32($tptr,$i),$tptr # end of tp[] window, &tp[2*$num-"$i"]
987 mov -16($aptr),$ai # a[2]
988 mov %rax,$a1
989
990 xor $A0[1],$A0[1]
991 mul $a0 # a[1]*a[0]
992 add %rax,$A0[0] # a[1]*a[0]+t[1], preloaded t[1]
993 mov $ai,%rax # a[2]
994 adc %rdx,$A0[1]
995 mov $A0[0],-24($tptr) # t[1]
996
997 xor $A0[0],$A0[0]
998 add $A1[1],$A0[1] # a[2]*a[0]+t[2], preloaded t[2]
999 adc \$0,$A0[0]
1000 mul $a0 # a[2]*a[0]
1001 add %rax,$A0[1]
1002 mov $ai,%rax
1003 adc %rdx,$A0[0]
1004 mov $A0[1],-16($tptr) # t[2]
1005
1006 mov -8($aptr),$ai # a[3]
1007 mul $a1 # a[2]*a[1]
1008 add %rax,$A1[0] # a[2]*a[1]+t[3], preloaded t[3]
1009 mov $ai,%rax
1010 adc \$0,%rdx
1011
1012 xor $A0[1],$A0[1]
1013 add $A1[0],$A0[0]
1014 mov %rdx,$A1[1]
1015 adc \$0,$A0[1]
1016 mul $a0 # a[3]*a[0]
1017 add %rax,$A0[0] # a[3]*a[0]+a[2]*a[1]+t[3]
1018 mov $ai,%rax
1019 adc %rdx,$A0[1]
1020 mov $A0[0],-8($tptr) # t[3]
1021
1022 xor $A1[0],$A1[0]
1023 add $A0[1],$A1[1]
1024 adc \$0,$A1[0]
1025 mul $a1 # a[3]*a[1]
1026 add %rax,$A1[1]
1027 mov -16($aptr),%rax # a[2]
1028 adc %rdx,$A1[0]
1029
1030 mov $A1[1],($tptr) # t[4]
1031 mov $A1[0],8($tptr) # t[5]
1032
1033 mul $ai # a[2]*a[3]
1034___
1035{
1036my ($shift,$carry)=($a0,$a1);
1037my @S=(@A1,$ai,$n0);
1038$code.=<<___;
1039 add \$16,$i
1040 xor $shift,$shift
1041 sub $num,$i # $i=16-$num
1042 xor $carry,$carry
1043
1044 add $A1[0],%rax # t[5]
1045 adc \$0,%rdx
1046 mov %rax,8($tptr) # t[5]
1047 mov %rdx,16($tptr) # t[6]
1048 mov $carry,24($tptr) # t[7]
1049
1050 mov -16($aptr,$i),%rax # a[0]
1051 lea 64(%rsp,$num,2),$tptr
1052 xor $A0[0],$A0[0] # t[0]
1053 mov -24($tptr,$i,2),$A0[1] # t[1]
1054
1055 lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift
1056 shr \$63,$A0[0]
1057 lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 |
1058 shr \$63,$A0[1]
1059 or $A0[0],$S[1] # | t[2*i]>>63
1060 mov -16($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch
1061 mov $A0[1],$shift # shift=t[2*i+1]>>63
1062 mul %rax # a[i]*a[i]
1063 neg $carry # mov $carry,cf
1064 mov -8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch
1065 adc %rax,$S[0]
1066 mov -8($aptr,$i),%rax # a[i+1] # prefetch
1067 mov $S[0],-32($tptr,$i,2)
1068 adc %rdx,$S[1]
1069
1070 lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift
1071 mov $S[1],-24($tptr,$i,2)
1072 sbb $carry,$carry # mov cf,$carry
1073 shr \$63,$A0[0]
1074 lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 |
1075 shr \$63,$A0[1]
1076 or $A0[0],$S[3] # | t[2*i]>>63
1077 mov 0($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch
1078 mov $A0[1],$shift # shift=t[2*i+1]>>63
1079 mul %rax # a[i]*a[i]
1080 neg $carry # mov $carry,cf
1081 mov 8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch
1082 adc %rax,$S[2]
1083 mov 0($aptr,$i),%rax # a[i+1] # prefetch
1084 mov $S[2],-16($tptr,$i,2)
1085 adc %rdx,$S[3]
1086 lea 16($i),$i
1087 mov $S[3],-40($tptr,$i,2)
1088 sbb $carry,$carry # mov cf,$carry
1089 jmp .Lsqr4x_shift_n_add
1090
1091.align 16
1092.Lsqr4x_shift_n_add:
1093 lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift
1094 shr \$63,$A0[0]
1095 lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 |
1096 shr \$63,$A0[1]
1097 or $A0[0],$S[1] # | t[2*i]>>63
1098 mov -16($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch
1099 mov $A0[1],$shift # shift=t[2*i+1]>>63
1100 mul %rax # a[i]*a[i]
1101 neg $carry # mov $carry,cf
1102 mov -8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch
1103 adc %rax,$S[0]
1104 mov -8($aptr,$i),%rax # a[i+1] # prefetch
1105 mov $S[0],-32($tptr,$i,2)
1106 adc %rdx,$S[1]
1107
1108 lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift
1109 mov $S[1],-24($tptr,$i,2)
1110 sbb $carry,$carry # mov cf,$carry
1111 shr \$63,$A0[0]
1112 lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 |
1113 shr \$63,$A0[1]
1114 or $A0[0],$S[3] # | t[2*i]>>63
1115 mov 0($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch
1116 mov $A0[1],$shift # shift=t[2*i+1]>>63
1117 mul %rax # a[i]*a[i]
1118 neg $carry # mov $carry,cf
1119 mov 8($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch
1120 adc %rax,$S[2]
1121 mov 0($aptr,$i),%rax # a[i+1] # prefetch
1122 mov $S[2],-16($tptr,$i,2)
1123 adc %rdx,$S[3]
1124
1125 lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift
1126 mov $S[3],-8($tptr,$i,2)
1127 sbb $carry,$carry # mov cf,$carry
1128 shr \$63,$A0[0]
1129 lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 |
1130 shr \$63,$A0[1]
1131 or $A0[0],$S[1] # | t[2*i]>>63
1132 mov 16($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch
1133 mov $A0[1],$shift # shift=t[2*i+1]>>63
1134 mul %rax # a[i]*a[i]
1135 neg $carry # mov $carry,cf
1136 mov 24($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch
1137 adc %rax,$S[0]
1138 mov 8($aptr,$i),%rax # a[i+1] # prefetch
1139 mov $S[0],0($tptr,$i,2)
1140 adc %rdx,$S[1]
1141
1142 lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1 | shift
1143 mov $S[1],8($tptr,$i,2)
1144 sbb $carry,$carry # mov cf,$carry
1145 shr \$63,$A0[0]
1146 lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 |
1147 shr \$63,$A0[1]
1148 or $A0[0],$S[3] # | t[2*i]>>63
1149 mov 32($tptr,$i,2),$A0[0] # t[2*i+2] # prefetch
1150 mov $A0[1],$shift # shift=t[2*i+1]>>63
1151 mul %rax # a[i]*a[i]
1152 neg $carry # mov $carry,cf
1153 mov 40($tptr,$i,2),$A0[1] # t[2*i+2+1] # prefetch
1154 adc %rax,$S[2]
1155 mov 16($aptr,$i),%rax # a[i+1] # prefetch
1156 mov $S[2],16($tptr,$i,2)
1157 adc %rdx,$S[3]
1158 mov $S[3],24($tptr,$i,2)
1159 sbb $carry,$carry # mov cf,$carry
1160 add \$32,$i
1161 jnz .Lsqr4x_shift_n_add
1162
1163 lea ($shift,$A0[0],2),$S[0] # t[2*i]<<1 | shift
1164 shr \$63,$A0[0]
1165 lea ($j,$A0[1],2),$S[1] # t[2*i+1]<<1 |
1166 shr \$63,$A0[1]
1167 or $A0[0],$S[1] # | t[2*i]>>63
1168 mov -16($tptr),$A0[0] # t[2*i+2] # prefetch
1169 mov $A0[1],$shift # shift=t[2*i+1]>>63
1170 mul %rax # a[i]*a[i]
1171 neg $carry # mov $carry,cf
1172 mov -8($tptr),$A0[1] # t[2*i+2+1] # prefetch
1173 adc %rax,$S[0]
1174 mov -8($aptr),%rax # a[i+1] # prefetch
1175 mov $S[0],-32($tptr)
1176 adc %rdx,$S[1]
1177
1178 lea ($shift,$A0[0],2),$S[2] # t[2*i]<<1|shift
1179 mov $S[1],-24($tptr)
1180 sbb $carry,$carry # mov cf,$carry
1181 shr \$63,$A0[0]
1182 lea ($j,$A0[1],2),$S[3] # t[2*i+1]<<1 |
1183 shr \$63,$A0[1]
1184 or $A0[0],$S[3] # | t[2*i]>>63
1185 mul %rax # a[i]*a[i]
1186 neg $carry # mov $carry,cf
1187 adc %rax,$S[2]
1188 adc %rdx,$S[3]
1189 mov $S[2],-16($tptr)
1190 mov $S[3],-8($tptr)
1191___
1192}
1193##############################################################
1194# Montgomery reduction part, "word-by-word" algorithm.
1195#
1196{
1197my ($topbit,$nptr)=("%rbp",$aptr);
1198my ($m0,$m1)=($a0,$a1);
1199my @Ni=("%rbx","%r9");
1200$code.=<<___;
1201 mov 40(%rsp),$nptr # restore $nptr
1202 mov 48(%rsp),$n0 # restore *n0
1203 xor $j,$j
1204 mov $num,0(%rsp) # save $num
1205 sub $num,$j # $j=-$num
1206 mov 64(%rsp),$A0[0] # t[0] # modsched #
1207 mov $n0,$m0 # # modsched #
1208 lea 64(%rsp,$num,2),%rax # end of t[] buffer
1209 lea 64(%rsp,$num),$tptr # end of t[] window
1210 mov %rax,8(%rsp) # save end of t[] buffer
1211 lea ($nptr,$num),$nptr # end of n[] buffer
1212 xor $topbit,$topbit # $topbit=0
1213
1214 mov 0($nptr,$j),%rax # n[0] # modsched #
1215 mov 8($nptr,$j),$Ni[1] # n[1] # modsched #
1216 imulq $A0[0],$m0 # m0=t[0]*n0 # modsched #
1217 mov %rax,$Ni[0] # # modsched #
1218 jmp .Lsqr4x_mont_outer
1219
1220.align 16
1221.Lsqr4x_mont_outer:
1222 xor $A0[1],$A0[1]
1223 mul $m0 # n[0]*m0
1224 add %rax,$A0[0] # n[0]*m0+t[0]
1225 mov $Ni[1],%rax
1226 adc %rdx,$A0[1]
1227 mov $n0,$m1
1228
1229 xor $A0[0],$A0[0]
1230 add 8($tptr,$j),$A0[1]
1231 adc \$0,$A0[0]
1232 mul $m0 # n[1]*m0
1233 add %rax,$A0[1] # n[1]*m0+t[1]
1234 mov $Ni[0],%rax
1235 adc %rdx,$A0[0]
1236
1237 imulq $A0[1],$m1
1238
1239 mov 16($nptr,$j),$Ni[0] # n[2]
1240 xor $A1[1],$A1[1]
1241 add $A0[1],$A1[0]
1242 adc \$0,$A1[1]
1243 mul $m1 # n[0]*m1
1244 add %rax,$A1[0] # n[0]*m1+"t[1]"
1245 mov $Ni[0],%rax
1246 adc %rdx,$A1[1]
1247 mov $A1[0],8($tptr,$j) # "t[1]"
1248
1249 xor $A0[1],$A0[1]
1250 add 16($tptr,$j),$A0[0]
1251 adc \$0,$A0[1]
1252 mul $m0 # n[2]*m0
1253 add %rax,$A0[0] # n[2]*m0+t[2]
1254 mov $Ni[1],%rax
1255 adc %rdx,$A0[1]
1256
1257 mov 24($nptr,$j),$Ni[1] # n[3]
1258 xor $A1[0],$A1[0]
1259 add $A0[0],$A1[1]
1260 adc \$0,$A1[0]
1261 mul $m1 # n[1]*m1
1262 add %rax,$A1[1] # n[1]*m1+"t[2]"
1263 mov $Ni[1],%rax
1264 adc %rdx,$A1[0]
1265 mov $A1[1],16($tptr,$j) # "t[2]"
1266
1267 xor $A0[0],$A0[0]
1268 add 24($tptr,$j),$A0[1]
1269 lea 32($j),$j
1270 adc \$0,$A0[0]
1271 mul $m0 # n[3]*m0
1272 add %rax,$A0[1] # n[3]*m0+t[3]
1273 mov $Ni[0],%rax
1274 adc %rdx,$A0[0]
1275 jmp .Lsqr4x_mont_inner
1276
1277.align 16
1278.Lsqr4x_mont_inner:
1279 mov ($nptr,$j),$Ni[0] # n[4]
1280 xor $A1[1],$A1[1]
1281 add $A0[1],$A1[0]
1282 adc \$0,$A1[1]
1283 mul $m1 # n[2]*m1
1284 add %rax,$A1[0] # n[2]*m1+"t[3]"
1285 mov $Ni[0],%rax
1286 adc %rdx,$A1[1]
1287 mov $A1[0],-8($tptr,$j) # "t[3]"
1288
1289 xor $A0[1],$A0[1]
1290 add ($tptr,$j),$A0[0]
1291 adc \$0,$A0[1]
1292 mul $m0 # n[4]*m0
1293 add %rax,$A0[0] # n[4]*m0+t[4]
1294 mov $Ni[1],%rax
1295 adc %rdx,$A0[1]
1296
1297 mov 8($nptr,$j),$Ni[1] # n[5]
1298 xor $A1[0],$A1[0]
1299 add $A0[0],$A1[1]
1300 adc \$0,$A1[0]
1301 mul $m1 # n[3]*m1
1302 add %rax,$A1[1] # n[3]*m1+"t[4]"
1303 mov $Ni[1],%rax
1304 adc %rdx,$A1[0]
1305 mov $A1[1],($tptr,$j) # "t[4]"
1306
1307 xor $A0[0],$A0[0]
1308 add 8($tptr,$j),$A0[1]
1309 adc \$0,$A0[0]
1310 mul $m0 # n[5]*m0
1311 add %rax,$A0[1] # n[5]*m0+t[5]
1312 mov $Ni[0],%rax
1313 adc %rdx,$A0[0]
1314
1315
1316 mov 16($nptr,$j),$Ni[0] # n[6]
1317 xor $A1[1],$A1[1]
1318 add $A0[1],$A1[0]
1319 adc \$0,$A1[1]
1320 mul $m1 # n[4]*m1
1321 add %rax,$A1[0] # n[4]*m1+"t[5]"
1322 mov $Ni[0],%rax
1323 adc %rdx,$A1[1]
1324 mov $A1[0],8($tptr,$j) # "t[5]"
1325
1326 xor $A0[1],$A0[1]
1327 add 16($tptr,$j),$A0[0]
1328 adc \$0,$A0[1]
1329 mul $m0 # n[6]*m0
1330 add %rax,$A0[0] # n[6]*m0+t[6]
1331 mov $Ni[1],%rax
1332 adc %rdx,$A0[1]
1333
1334 mov 24($nptr,$j),$Ni[1] # n[7]
1335 xor $A1[0],$A1[0]
1336 add $A0[0],$A1[1]
1337 adc \$0,$A1[0]
1338 mul $m1 # n[5]*m1
1339 add %rax,$A1[1] # n[5]*m1+"t[6]"
1340 mov $Ni[1],%rax
1341 adc %rdx,$A1[0]
1342 mov $A1[1],16($tptr,$j) # "t[6]"
1343
1344 xor $A0[0],$A0[0]
1345 add 24($tptr,$j),$A0[1]
1346 lea 32($j),$j
1347 adc \$0,$A0[0]
1348 mul $m0 # n[7]*m0
1349 add %rax,$A0[1] # n[7]*m0+t[7]
1350 mov $Ni[0],%rax
1351 adc %rdx,$A0[0]
1352 cmp \$0,$j
1353 jne .Lsqr4x_mont_inner
1354
1355 sub 0(%rsp),$j # $j=-$num # modsched #
1356 mov $n0,$m0 # # modsched #
1357
1358 xor $A1[1],$A1[1]
1359 add $A0[1],$A1[0]
1360 adc \$0,$A1[1]
1361 mul $m1 # n[6]*m1
1362 add %rax,$A1[0] # n[6]*m1+"t[7]"
1363 mov $Ni[1],%rax
1364 adc %rdx,$A1[1]
1365 mov $A1[0],-8($tptr) # "t[7]"
1366
1367 xor $A0[1],$A0[1]
1368 add ($tptr),$A0[0] # +t[8]
1369 adc \$0,$A0[1]
1370 mov 0($nptr,$j),$Ni[0] # n[0] # modsched #
1371 add $topbit,$A0[0]
1372 adc \$0,$A0[1]
1373
1374 imulq 16($tptr,$j),$m0 # m0=t[0]*n0 # modsched #
1375 xor $A1[0],$A1[0]
1376 mov 8($nptr,$j),$Ni[1] # n[1] # modsched #
1377 add $A0[0],$A1[1]
1378 mov 16($tptr,$j),$A0[0] # t[0] # modsched #
1379 adc \$0,$A1[0]
1380 mul $m1 # n[7]*m1
1381 add %rax,$A1[1] # n[7]*m1+"t[8]"
1382 mov $Ni[0],%rax # # modsched #
1383 adc %rdx,$A1[0]
1384 mov $A1[1],($tptr) # "t[8]"
1385
1386 xor $topbit,$topbit
1387 add 8($tptr),$A1[0] # +t[9]
1388 adc $topbit,$topbit
1389 add $A0[1],$A1[0]
1390 lea 16($tptr),$tptr # "t[$num]>>128"
1391 adc \$0,$topbit
1392 mov $A1[0],-8($tptr) # "t[9]"
1393 cmp 8(%rsp),$tptr # are we done?
1394 jb .Lsqr4x_mont_outer
1395
1396 mov 0(%rsp),$num # restore $num
1397 mov $topbit,($tptr) # save $topbit
1398___
1399}
1400##############################################################
1401# Post-condition, 4x unrolled copy from bn_mul_mont
1402#
1403{
1404my ($tptr,$nptr)=("%rbx",$aptr);
1405my @ri=("%rax","%rdx","%r10","%r11");
1406$code.=<<___;
1407 mov 64(%rsp,$num),@ri[0] # tp[0]
1408 lea 64(%rsp,$num),$tptr # upper half of t[2*$num] holds result
1409 mov 40(%rsp),$nptr # restore $nptr
1410 shr \$5,$num # num/4
1411 mov 8($tptr),@ri[1] # t[1]
1412 xor $i,$i # i=0 and clear CF!
1413
1414 mov 32(%rsp),$rptr # restore $rptr
1415 sub 0($nptr),@ri[0]
1416 mov 16($tptr),@ri[2] # t[2]
1417 mov 24($tptr),@ri[3] # t[3]
1418 sbb 8($nptr),@ri[1]
1419 lea -1($num),$j # j=num/4-1
1420 jmp .Lsqr4x_sub
1421.align 16
1422.Lsqr4x_sub:
1423 mov @ri[0],0($rptr,$i,8) # rp[i]=tp[i]-np[i]
1424 mov @ri[1],8($rptr,$i,8) # rp[i]=tp[i]-np[i]
1425 sbb 16($nptr,$i,8),@ri[2]
1426 mov 32($tptr,$i,8),@ri[0] # tp[i+1]
1427 mov 40($tptr,$i,8),@ri[1]
1428 sbb 24($nptr,$i,8),@ri[3]
1429 mov @ri[2],16($rptr,$i,8) # rp[i]=tp[i]-np[i]
1430 mov @ri[3],24($rptr,$i,8) # rp[i]=tp[i]-np[i]
1431 sbb 32($nptr,$i,8),@ri[0]
1432 mov 48($tptr,$i,8),@ri[2]
1433 mov 56($tptr,$i,8),@ri[3]
1434 sbb 40($nptr,$i,8),@ri[1]
1435 lea 4($i),$i # i++
1436 dec $j # doesn't affect CF!
1437 jnz .Lsqr4x_sub
1438
1439 mov @ri[0],0($rptr,$i,8) # rp[i]=tp[i]-np[i]
1440 mov 32($tptr,$i,8),@ri[0] # load overflow bit
1441 sbb 16($nptr,$i,8),@ri[2]
1442 mov @ri[1],8($rptr,$i,8) # rp[i]=tp[i]-np[i]
1443 sbb 24($nptr,$i,8),@ri[3]
1444 mov @ri[2],16($rptr,$i,8) # rp[i]=tp[i]-np[i]
1445
1446 sbb \$0,@ri[0] # handle upmost overflow bit
1447 mov @ri[3],24($rptr,$i,8) # rp[i]=tp[i]-np[i]
1448 xor $i,$i # i=0
1449 and @ri[0],$tptr
1450 not @ri[0]
1451 mov $rptr,$nptr
1452 and @ri[0],$nptr
1453 lea -1($num),$j
1454 or $nptr,$tptr # tp=borrow?tp:rp
1455
1456 pxor %xmm0,%xmm0
1457 lea 64(%rsp,$num,8),$nptr
1458 movdqu ($tptr),%xmm1
1459 lea ($nptr,$num,8),$nptr
1460 movdqa %xmm0,64(%rsp) # zap lower half of temporary vector
1461 movdqa %xmm0,($nptr) # zap upper half of temporary vector
1462 movdqu %xmm1,($rptr)
1463 jmp .Lsqr4x_copy
1464.align 16
1465.Lsqr4x_copy: # copy or in-place refresh
1466 movdqu 16($tptr,$i),%xmm2
1467 movdqu 32($tptr,$i),%xmm1
1468 movdqa %xmm0,80(%rsp,$i) # zap lower half of temporary vector
1469 movdqa %xmm0,96(%rsp,$i) # zap lower half of temporary vector
1470 movdqa %xmm0,16($nptr,$i) # zap upper half of temporary vector
1471 movdqa %xmm0,32($nptr,$i) # zap upper half of temporary vector
1472 movdqu %xmm2,16($rptr,$i)
1473 movdqu %xmm1,32($rptr,$i)
1474 lea 32($i),$i
1475 dec $j
1476 jnz .Lsqr4x_copy
1477
1478 movdqu 16($tptr,$i),%xmm2
1479 movdqa %xmm0,80(%rsp,$i) # zap lower half of temporary vector
1480 movdqa %xmm0,16($nptr,$i) # zap upper half of temporary vector
1481 movdqu %xmm2,16($rptr,$i)
1482___
1483}
1484$code.=<<___;
1485 mov 56(%rsp),%rsi # restore %rsp
1486 mov \$1,%rax
1487 mov 0(%rsi),%r15
1488 mov 8(%rsi),%r14
1489 mov 16(%rsi),%r13
1490 mov 24(%rsi),%r12
1491 mov 32(%rsi),%rbp
1492 mov 40(%rsi),%rbx
1493 lea 48(%rsi),%rsp
1494.Lsqr4x_epilogue:
1495 ret
1496.size bn_sqr4x_mont,.-bn_sqr4x_mont
1497___
1498}}}
1499$code.=<<___;
217.asciz "Montgomery Multiplication for x86_64, CRYPTOGAMS by <appro\@openssl.org>" 1500.asciz "Montgomery Multiplication for x86_64, CRYPTOGAMS by <appro\@openssl.org>"
218.align 16 1501.align 16
219___ 1502___
@@ -228,9 +1511,9 @@ $disp="%r9";
228 1511
229$code.=<<___; 1512$code.=<<___;
230.extern __imp_RtlVirtualUnwind 1513.extern __imp_RtlVirtualUnwind
231.type se_handler,\@abi-omnipotent 1514.type mul_handler,\@abi-omnipotent
232.align 16 1515.align 16
233se_handler: 1516mul_handler:
234 push %rsi 1517 push %rsi
235 push %rdi 1518 push %rdi
236 push %rbx 1519 push %rbx
@@ -245,15 +1528,20 @@ se_handler:
245 mov 120($context),%rax # pull context->Rax 1528 mov 120($context),%rax # pull context->Rax
246 mov 248($context),%rbx # pull context->Rip 1529 mov 248($context),%rbx # pull context->Rip
247 1530
248 lea .Lprologue(%rip),%r10 1531 mov 8($disp),%rsi # disp->ImageBase
249 cmp %r10,%rbx # context->Rip<.Lprologue 1532 mov 56($disp),%r11 # disp->HandlerData
250 jb .Lin_prologue 1533
1534 mov 0(%r11),%r10d # HandlerData[0]
1535 lea (%rsi,%r10),%r10 # end of prologue label
1536 cmp %r10,%rbx # context->Rip<end of prologue label
1537 jb .Lcommon_seh_tail
251 1538
252 mov 152($context),%rax # pull context->Rsp 1539 mov 152($context),%rax # pull context->Rsp
253 1540
254 lea .Lepilogue(%rip),%r10 1541 mov 4(%r11),%r10d # HandlerData[1]
255 cmp %r10,%rbx # context->Rip>=.Lepilogue 1542 lea (%rsi,%r10),%r10 # epilogue label
256 jae .Lin_prologue 1543 cmp %r10,%rbx # context->Rip>=epilogue label
1544 jae .Lcommon_seh_tail
257 1545
258 mov 192($context),%r10 # pull $num 1546 mov 192($context),%r10 # pull $num
259 mov 8(%rax,%r10,8),%rax # pull saved stack pointer 1547 mov 8(%rax,%r10,8),%rax # pull saved stack pointer
@@ -272,7 +1560,53 @@ se_handler:
272 mov %r14,232($context) # restore context->R14 1560 mov %r14,232($context) # restore context->R14
273 mov %r15,240($context) # restore context->R15 1561 mov %r15,240($context) # restore context->R15
274 1562
275.Lin_prologue: 1563 jmp .Lcommon_seh_tail
1564.size mul_handler,.-mul_handler
1565
1566.type sqr_handler,\@abi-omnipotent
1567.align 16
1568sqr_handler:
1569 push %rsi
1570 push %rdi
1571 push %rbx
1572 push %rbp
1573 push %r12
1574 push %r13
1575 push %r14
1576 push %r15
1577 pushfq
1578 sub \$64,%rsp
1579
1580 mov 120($context),%rax # pull context->Rax
1581 mov 248($context),%rbx # pull context->Rip
1582
1583 lea .Lsqr4x_body(%rip),%r10
1584 cmp %r10,%rbx # context->Rip<.Lsqr_body
1585 jb .Lcommon_seh_tail
1586
1587 mov 152($context),%rax # pull context->Rsp
1588
1589 lea .Lsqr4x_epilogue(%rip),%r10
1590 cmp %r10,%rbx # context->Rip>=.Lsqr_epilogue
1591 jae .Lcommon_seh_tail
1592
1593 mov 56(%rax),%rax # pull saved stack pointer
1594 lea 48(%rax),%rax
1595
1596 mov -8(%rax),%rbx
1597 mov -16(%rax),%rbp
1598 mov -24(%rax),%r12
1599 mov -32(%rax),%r13
1600 mov -40(%rax),%r14
1601 mov -48(%rax),%r15
1602 mov %rbx,144($context) # restore context->Rbx
1603 mov %rbp,160($context) # restore context->Rbp
1604 mov %r12,216($context) # restore context->R12
1605 mov %r13,224($context) # restore context->R13
1606 mov %r14,232($context) # restore context->R14
1607 mov %r15,240($context) # restore context->R15
1608
1609.Lcommon_seh_tail:
276 mov 8(%rax),%rdi 1610 mov 8(%rax),%rdi
277 mov 16(%rax),%rsi 1611 mov 16(%rax),%rsi
278 mov %rax,152($context) # restore context->Rsp 1612 mov %rax,152($context) # restore context->Rsp
@@ -310,7 +1644,7 @@ se_handler:
310 pop %rdi 1644 pop %rdi
311 pop %rsi 1645 pop %rsi
312 ret 1646 ret
313.size se_handler,.-se_handler 1647.size sqr_handler,.-sqr_handler
314 1648
315.section .pdata 1649.section .pdata
316.align 4 1650.align 4
@@ -318,11 +1652,27 @@ se_handler:
318 .rva .LSEH_end_bn_mul_mont 1652 .rva .LSEH_end_bn_mul_mont
319 .rva .LSEH_info_bn_mul_mont 1653 .rva .LSEH_info_bn_mul_mont
320 1654
1655 .rva .LSEH_begin_bn_mul4x_mont
1656 .rva .LSEH_end_bn_mul4x_mont
1657 .rva .LSEH_info_bn_mul4x_mont
1658
1659 .rva .LSEH_begin_bn_sqr4x_mont
1660 .rva .LSEH_end_bn_sqr4x_mont
1661 .rva .LSEH_info_bn_sqr4x_mont
1662
321.section .xdata 1663.section .xdata
322.align 8 1664.align 8
323.LSEH_info_bn_mul_mont: 1665.LSEH_info_bn_mul_mont:
324 .byte 9,0,0,0 1666 .byte 9,0,0,0
325 .rva se_handler 1667 .rva mul_handler
1668 .rva .Lmul_body,.Lmul_epilogue # HandlerData[]
1669.LSEH_info_bn_mul4x_mont:
1670 .byte 9,0,0,0
1671 .rva mul_handler
1672 .rva .Lmul4x_body,.Lmul4x_epilogue # HandlerData[]
1673.LSEH_info_bn_sqr4x_mont:
1674 .byte 9,0,0,0
1675 .rva sqr_handler
326___ 1676___
327} 1677}
328 1678
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2025-08-15 04:00:16 +0000