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-rw-r--r--src/lib/libcrypto/bn/asm/x86_64-gcc.c575
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diff --git a/src/lib/libcrypto/bn/asm/x86_64-gcc.c b/src/lib/libcrypto/bn/asm/x86_64-gcc.c
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1/*
2 * x86_64 BIGNUM accelerator version 0.1, December 2002.
3 *
4 * Implemented by Andy Polyakov <appro@fy.chalmers.se> for the OpenSSL
5 * project.
6 *
7 * Rights for redistribution and usage in source and binary forms are
8 * granted according to the OpenSSL license. Warranty of any kind is
9 * disclaimed.
10 *
11 * Q. Version 0.1? It doesn't sound like Andy, he used to assign real
12 * versions, like 1.0...
13 * A. Well, that's because this code is basically a quick-n-dirty
14 * proof-of-concept hack. As you can see it's implemented with
15 * inline assembler, which means that you're bound to GCC and that
16 * there must be a room for fine-tuning.
17 *
18 * Q. Why inline assembler?
19 * A. x86_64 features own ABI I'm not familiar with. Which is why
20 * I decided to let the compiler take care of subroutine
21 * prologue/epilogue as well as register allocation.
22 *
23 * Q. How much faster does it get?
24 * A. Unfortunately people sitting on x86_64 hardware are prohibited
25 * to disclose the performance numbers, so they (SuSE labs to be
26 * specific) wouldn't tell me. However! Very similar coding technique
27 * (reaching out for 128-bit result from 64x64-bit multiplication)
28 * results in >3 times performance improvement on MIPS and I see no
29 * reason why gain on x86_64 would be so much different:-)
30 */
31
32#define BN_ULONG unsigned long
33
34/*
35 * "m"(a), "+m"(r) is the way to favor DirectPath µ-code;
36 * "g"(0) let the compiler to decide where does it
37 * want to keep the value of zero;
38 */
39#define mul_add(r,a,word,carry) do { \
40 register BN_ULONG high,low; \
41 asm ("mulq %3" \
42 : "=a"(low),"=d"(high) \
43 : "a"(word),"m"(a) \
44 : "cc"); \
45 asm ("addq %2,%0; adcq %3,%1" \
46 : "+r"(carry),"+d"(high)\
47 : "a"(low),"g"(0) \
48 : "cc"); \
49 asm ("addq %2,%0; adcq %3,%1" \
50 : "+m"(r),"+d"(high) \
51 : "r"(carry),"g"(0) \
52 : "cc"); \
53 carry=high; \
54 } while (0)
55
56#define mul(r,a,word,carry) do { \
57 register BN_ULONG high,low; \
58 asm ("mulq %3" \
59 : "=a"(low),"=d"(high) \
60 : "a"(word),"g"(a) \
61 : "cc"); \
62 asm ("addq %2,%0; adcq %3,%1" \
63 : "+r"(carry),"+d"(high)\
64 : "a"(low),"g"(0) \
65 : "cc"); \
66 (r)=carry, carry=high; \
67 } while (0)
68
69#define sqr(r0,r1,a) \
70 asm ("mulq %2" \
71 : "=a"(r0),"=d"(r1) \
72 : "a"(a) \
73 : "cc");
74
75BN_ULONG bn_mul_add_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
76 {
77 BN_ULONG c1=0;
78
79 if (num <= 0) return(c1);
80
81 while (num&~3)
82 {
83 mul_add(rp[0],ap[0],w,c1);
84 mul_add(rp[1],ap[1],w,c1);
85 mul_add(rp[2],ap[2],w,c1);
86 mul_add(rp[3],ap[3],w,c1);
87 ap+=4; rp+=4; num-=4;
88 }
89 if (num)
90 {
91 mul_add(rp[0],ap[0],w,c1); if (--num==0) return c1;
92 mul_add(rp[1],ap[1],w,c1); if (--num==0) return c1;
93 mul_add(rp[2],ap[2],w,c1); return c1;
94 }
95
96 return(c1);
97 }
98
99BN_ULONG bn_mul_words(BN_ULONG *rp, BN_ULONG *ap, int num, BN_ULONG w)
100 {
101 BN_ULONG c1=0;
102
103 if (num <= 0) return(c1);
104
105 while (num&~3)
106 {
107 mul(rp[0],ap[0],w,c1);
108 mul(rp[1],ap[1],w,c1);
109 mul(rp[2],ap[2],w,c1);
110 mul(rp[3],ap[3],w,c1);
111 ap+=4; rp+=4; num-=4;
112 }
113 if (num)
114 {
115 mul(rp[0],ap[0],w,c1); if (--num == 0) return c1;
116 mul(rp[1],ap[1],w,c1); if (--num == 0) return c1;
117 mul(rp[2],ap[2],w,c1);
118 }
119 return(c1);
120 }
121
122void bn_sqr_words(BN_ULONG *r, BN_ULONG *a, int n)
123 {
124 if (n <= 0) return;
125
126 while (n&~3)
127 {
128 sqr(r[0],r[1],a[0]);
129 sqr(r[2],r[3],a[1]);
130 sqr(r[4],r[5],a[2]);
131 sqr(r[6],r[7],a[3]);
132 a+=4; r+=8; n-=4;
133 }
134 if (n)
135 {
136 sqr(r[0],r[1],a[0]); if (--n == 0) return;
137 sqr(r[2],r[3],a[1]); if (--n == 0) return;
138 sqr(r[4],r[5],a[2]);
139 }
140 }
141
142BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
143{ BN_ULONG ret,waste;
144
145 asm ("divq %3"
146 : "=a"(ret),"=d"(waste)
147 : "a"(l),"d"(h),"g"(d)
148 : "cc");
149
150 return ret;
151}
152
153BN_ULONG bn_add_words (BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int n)
154{ BN_ULONG ret,i;
155
156 if (n <= 0) return 0;
157
158 asm (
159 " subq %2,%2 \n"
160 ".align 16 \n"
161 "1: movq (%4,%2,8),%0 \n"
162 " adcq (%5,%2,8),%0 \n"
163 " movq %0,(%3,%2,8) \n"
164 " leaq 1(%2),%2 \n"
165 " loop 1b \n"
166 " sbbq %0,%0 \n"
167 : "+a"(ret),"+c"(n),"+r"(i)
168 : "r"(rp),"r"(ap),"r"(bp)
169 : "cc"
170 );
171
172 return ret&1;
173}
174
175#ifndef SIMICS
176BN_ULONG bn_sub_words (BN_ULONG *rp, BN_ULONG *ap, BN_ULONG *bp,int n)
177{ BN_ULONG ret,i;
178
179 if (n <= 0) return 0;
180
181 asm (
182 " subq %2,%2 \n"
183 ".align 16 \n"
184 "1: movq (%4,%2,8),%0 \n"
185 " sbbq (%5,%2,8),%0 \n"
186 " movq %0,(%3,%2,8) \n"
187 " leaq 1(%2),%2 \n"
188 " loop 1b \n"
189 " sbbq %0,%0 \n"
190 : "+a"(ret),"+c"(n),"+r"(i)
191 : "r"(rp),"r"(ap),"r"(bp)
192 : "cc"
193 );
194
195 return ret&1;
196}
197#else
198/* Simics 1.4<7 has buggy sbbq:-( */
199#define BN_MASK2 0xffffffffffffffffL
200BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
201 {
202 BN_ULONG t1,t2;
203 int c=0;
204
205 if (n <= 0) return((BN_ULONG)0);
206
207 for (;;)
208 {
209 t1=a[0]; t2=b[0];
210 r[0]=(t1-t2-c)&BN_MASK2;
211 if (t1 != t2) c=(t1 < t2);
212 if (--n <= 0) break;
213
214 t1=a[1]; t2=b[1];
215 r[1]=(t1-t2-c)&BN_MASK2;
216 if (t1 != t2) c=(t1 < t2);
217 if (--n <= 0) break;
218
219 t1=a[2]; t2=b[2];
220 r[2]=(t1-t2-c)&BN_MASK2;
221 if (t1 != t2) c=(t1 < t2);
222 if (--n <= 0) break;
223
224 t1=a[3]; t2=b[3];
225 r[3]=(t1-t2-c)&BN_MASK2;
226 if (t1 != t2) c=(t1 < t2);
227 if (--n <= 0) break;
228
229 a+=4;
230 b+=4;
231 r+=4;
232 }
233 return(c);
234 }
235#endif
236
237/* mul_add_c(a,b,c0,c1,c2) -- c+=a*b for three word number c=(c2,c1,c0) */
238/* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */
239/* sqr_add_c(a,i,c0,c1,c2) -- c+=a[i]^2 for three word number c=(c2,c1,c0) */
240/* sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number c=(c2,c1,c0) */
241
242#if 0
243/* original macros are kept for reference purposes */
244#define mul_add_c(a,b,c0,c1,c2) { \
245 BN_ULONG ta=(a),tb=(b); \
246 t1 = ta * tb; \
247 t2 = BN_UMULT_HIGH(ta,tb); \
248 c0 += t1; t2 += (c0<t1)?1:0; \
249 c1 += t2; c2 += (c1<t2)?1:0; \
250 }
251
252#define mul_add_c2(a,b,c0,c1,c2) { \
253 BN_ULONG ta=(a),tb=(b),t0; \
254 t1 = BN_UMULT_HIGH(ta,tb); \
255 t0 = ta * tb; \
256 t2 = t1+t1; c2 += (t2<t1)?1:0; \
257 t1 = t0+t0; t2 += (t1<t0)?1:0; \
258 c0 += t1; t2 += (c0<t1)?1:0; \
259 c1 += t2; c2 += (c1<t2)?1:0; \
260 }
261#else
262#define mul_add_c(a,b,c0,c1,c2) do { \
263 asm ("mulq %3" \
264 : "=a"(t1),"=d"(t2) \
265 : "a"(a),"m"(b) \
266 : "cc"); \
267 asm ("addq %2,%0; adcq %3,%1" \
268 : "+r"(c0),"+d"(t2) \
269 : "a"(t1),"g"(0) \
270 : "cc"); \
271 asm ("addq %2,%0; adcq %3,%1" \
272 : "+r"(c1),"+r"(c2) \
273 : "d"(t2),"g"(0) \
274 : "cc"); \
275 } while (0)
276
277#define sqr_add_c(a,i,c0,c1,c2) do { \
278 asm ("mulq %2" \
279 : "=a"(t1),"=d"(t2) \
280 : "a"(a[i]) \
281 : "cc"); \
282 asm ("addq %2,%0; adcq %3,%1" \
283 : "+r"(c0),"+d"(t2) \
284 : "a"(t1),"g"(0) \
285 : "cc"); \
286 asm ("addq %2,%0; adcq %3,%1" \
287 : "+r"(c1),"+r"(c2) \
288 : "d"(t2),"g"(0) \
289 : "cc"); \
290 } while (0)
291
292#define mul_add_c2(a,b,c0,c1,c2) do { \
293 asm ("mulq %3" \
294 : "=a"(t1),"=d"(t2) \
295 : "a"(a),"m"(b) \
296 : "cc"); \
297 asm ("addq %0,%0; adcq %2,%1" \
298 : "+d"(t2),"+r"(c2) \
299 : "g"(0) \
300 : "cc"); \
301 asm ("addq %0,%0; adcq %2,%1" \
302 : "+a"(t1),"+d"(t2) \
303 : "g"(0) \
304 : "cc"); \
305 asm ("addq %2,%0; adcq %3,%1" \
306 : "+r"(c0),"+d"(t2) \
307 : "a"(t1),"g"(0) \
308 : "cc"); \
309 asm ("addq %2,%0; adcq %3,%1" \
310 : "+r"(c1),"+r"(c2) \
311 : "d"(t2),"g"(0) \
312 : "cc"); \
313 } while (0)
314#endif
315
316#define sqr_add_c2(a,i,j,c0,c1,c2) \
317 mul_add_c2((a)[i],(a)[j],c0,c1,c2)
318
319void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
320 {
321 BN_ULONG bl,bh;
322 BN_ULONG t1,t2;
323 BN_ULONG c1,c2,c3;
324
325 c1=0;
326 c2=0;
327 c3=0;
328 mul_add_c(a[0],b[0],c1,c2,c3);
329 r[0]=c1;
330 c1=0;
331 mul_add_c(a[0],b[1],c2,c3,c1);
332 mul_add_c(a[1],b[0],c2,c3,c1);
333 r[1]=c2;
334 c2=0;
335 mul_add_c(a[2],b[0],c3,c1,c2);
336 mul_add_c(a[1],b[1],c3,c1,c2);
337 mul_add_c(a[0],b[2],c3,c1,c2);
338 r[2]=c3;
339 c3=0;
340 mul_add_c(a[0],b[3],c1,c2,c3);
341 mul_add_c(a[1],b[2],c1,c2,c3);
342 mul_add_c(a[2],b[1],c1,c2,c3);
343 mul_add_c(a[3],b[0],c1,c2,c3);
344 r[3]=c1;
345 c1=0;
346 mul_add_c(a[4],b[0],c2,c3,c1);
347 mul_add_c(a[3],b[1],c2,c3,c1);
348 mul_add_c(a[2],b[2],c2,c3,c1);
349 mul_add_c(a[1],b[3],c2,c3,c1);
350 mul_add_c(a[0],b[4],c2,c3,c1);
351 r[4]=c2;
352 c2=0;
353 mul_add_c(a[0],b[5],c3,c1,c2);
354 mul_add_c(a[1],b[4],c3,c1,c2);
355 mul_add_c(a[2],b[3],c3,c1,c2);
356 mul_add_c(a[3],b[2],c3,c1,c2);
357 mul_add_c(a[4],b[1],c3,c1,c2);
358 mul_add_c(a[5],b[0],c3,c1,c2);
359 r[5]=c3;
360 c3=0;
361 mul_add_c(a[6],b[0],c1,c2,c3);
362 mul_add_c(a[5],b[1],c1,c2,c3);
363 mul_add_c(a[4],b[2],c1,c2,c3);
364 mul_add_c(a[3],b[3],c1,c2,c3);
365 mul_add_c(a[2],b[4],c1,c2,c3);
366 mul_add_c(a[1],b[5],c1,c2,c3);
367 mul_add_c(a[0],b[6],c1,c2,c3);
368 r[6]=c1;
369 c1=0;
370 mul_add_c(a[0],b[7],c2,c3,c1);
371 mul_add_c(a[1],b[6],c2,c3,c1);
372 mul_add_c(a[2],b[5],c2,c3,c1);
373 mul_add_c(a[3],b[4],c2,c3,c1);
374 mul_add_c(a[4],b[3],c2,c3,c1);
375 mul_add_c(a[5],b[2],c2,c3,c1);
376 mul_add_c(a[6],b[1],c2,c3,c1);
377 mul_add_c(a[7],b[0],c2,c3,c1);
378 r[7]=c2;
379 c2=0;
380 mul_add_c(a[7],b[1],c3,c1,c2);
381 mul_add_c(a[6],b[2],c3,c1,c2);
382 mul_add_c(a[5],b[3],c3,c1,c2);
383 mul_add_c(a[4],b[4],c3,c1,c2);
384 mul_add_c(a[3],b[5],c3,c1,c2);
385 mul_add_c(a[2],b[6],c3,c1,c2);
386 mul_add_c(a[1],b[7],c3,c1,c2);
387 r[8]=c3;
388 c3=0;
389 mul_add_c(a[2],b[7],c1,c2,c3);
390 mul_add_c(a[3],b[6],c1,c2,c3);
391 mul_add_c(a[4],b[5],c1,c2,c3);
392 mul_add_c(a[5],b[4],c1,c2,c3);
393 mul_add_c(a[6],b[3],c1,c2,c3);
394 mul_add_c(a[7],b[2],c1,c2,c3);
395 r[9]=c1;
396 c1=0;
397 mul_add_c(a[7],b[3],c2,c3,c1);
398 mul_add_c(a[6],b[4],c2,c3,c1);
399 mul_add_c(a[5],b[5],c2,c3,c1);
400 mul_add_c(a[4],b[6],c2,c3,c1);
401 mul_add_c(a[3],b[7],c2,c3,c1);
402 r[10]=c2;
403 c2=0;
404 mul_add_c(a[4],b[7],c3,c1,c2);
405 mul_add_c(a[5],b[6],c3,c1,c2);
406 mul_add_c(a[6],b[5],c3,c1,c2);
407 mul_add_c(a[7],b[4],c3,c1,c2);
408 r[11]=c3;
409 c3=0;
410 mul_add_c(a[7],b[5],c1,c2,c3);
411 mul_add_c(a[6],b[6],c1,c2,c3);
412 mul_add_c(a[5],b[7],c1,c2,c3);
413 r[12]=c1;
414 c1=0;
415 mul_add_c(a[6],b[7],c2,c3,c1);
416 mul_add_c(a[7],b[6],c2,c3,c1);
417 r[13]=c2;
418 c2=0;
419 mul_add_c(a[7],b[7],c3,c1,c2);
420 r[14]=c3;
421 r[15]=c1;
422 }
423
424void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
425 {
426 BN_ULONG bl,bh;
427 BN_ULONG t1,t2;
428 BN_ULONG c1,c2,c3;
429
430 c1=0;
431 c2=0;
432 c3=0;
433 mul_add_c(a[0],b[0],c1,c2,c3);
434 r[0]=c1;
435 c1=0;
436 mul_add_c(a[0],b[1],c2,c3,c1);
437 mul_add_c(a[1],b[0],c2,c3,c1);
438 r[1]=c2;
439 c2=0;
440 mul_add_c(a[2],b[0],c3,c1,c2);
441 mul_add_c(a[1],b[1],c3,c1,c2);
442 mul_add_c(a[0],b[2],c3,c1,c2);
443 r[2]=c3;
444 c3=0;
445 mul_add_c(a[0],b[3],c1,c2,c3);
446 mul_add_c(a[1],b[2],c1,c2,c3);
447 mul_add_c(a[2],b[1],c1,c2,c3);
448 mul_add_c(a[3],b[0],c1,c2,c3);
449 r[3]=c1;
450 c1=0;
451 mul_add_c(a[3],b[1],c2,c3,c1);
452 mul_add_c(a[2],b[2],c2,c3,c1);
453 mul_add_c(a[1],b[3],c2,c3,c1);
454 r[4]=c2;
455 c2=0;
456 mul_add_c(a[2],b[3],c3,c1,c2);
457 mul_add_c(a[3],b[2],c3,c1,c2);
458 r[5]=c3;
459 c3=0;
460 mul_add_c(a[3],b[3],c1,c2,c3);
461 r[6]=c1;
462 r[7]=c2;
463 }
464
465void bn_sqr_comba8(BN_ULONG *r, BN_ULONG *a)
466 {
467 BN_ULONG bl,bh;
468 BN_ULONG t1,t2;
469 BN_ULONG c1,c2,c3;
470
471 c1=0;
472 c2=0;
473 c3=0;
474 sqr_add_c(a,0,c1,c2,c3);
475 r[0]=c1;
476 c1=0;
477 sqr_add_c2(a,1,0,c2,c3,c1);
478 r[1]=c2;
479 c2=0;
480 sqr_add_c(a,1,c3,c1,c2);
481 sqr_add_c2(a,2,0,c3,c1,c2);
482 r[2]=c3;
483 c3=0;
484 sqr_add_c2(a,3,0,c1,c2,c3);
485 sqr_add_c2(a,2,1,c1,c2,c3);
486 r[3]=c1;
487 c1=0;
488 sqr_add_c(a,2,c2,c3,c1);
489 sqr_add_c2(a,3,1,c2,c3,c1);
490 sqr_add_c2(a,4,0,c2,c3,c1);
491 r[4]=c2;
492 c2=0;
493 sqr_add_c2(a,5,0,c3,c1,c2);
494 sqr_add_c2(a,4,1,c3,c1,c2);
495 sqr_add_c2(a,3,2,c3,c1,c2);
496 r[5]=c3;
497 c3=0;
498 sqr_add_c(a,3,c1,c2,c3);
499 sqr_add_c2(a,4,2,c1,c2,c3);
500 sqr_add_c2(a,5,1,c1,c2,c3);
501 sqr_add_c2(a,6,0,c1,c2,c3);
502 r[6]=c1;
503 c1=0;
504 sqr_add_c2(a,7,0,c2,c3,c1);
505 sqr_add_c2(a,6,1,c2,c3,c1);
506 sqr_add_c2(a,5,2,c2,c3,c1);
507 sqr_add_c2(a,4,3,c2,c3,c1);
508 r[7]=c2;
509 c2=0;
510 sqr_add_c(a,4,c3,c1,c2);
511 sqr_add_c2(a,5,3,c3,c1,c2);
512 sqr_add_c2(a,6,2,c3,c1,c2);
513 sqr_add_c2(a,7,1,c3,c1,c2);
514 r[8]=c3;
515 c3=0;
516 sqr_add_c2(a,7,2,c1,c2,c3);
517 sqr_add_c2(a,6,3,c1,c2,c3);
518 sqr_add_c2(a,5,4,c1,c2,c3);
519 r[9]=c1;
520 c1=0;
521 sqr_add_c(a,5,c2,c3,c1);
522 sqr_add_c2(a,6,4,c2,c3,c1);
523 sqr_add_c2(a,7,3,c2,c3,c1);
524 r[10]=c2;
525 c2=0;
526 sqr_add_c2(a,7,4,c3,c1,c2);
527 sqr_add_c2(a,6,5,c3,c1,c2);
528 r[11]=c3;
529 c3=0;
530 sqr_add_c(a,6,c1,c2,c3);
531 sqr_add_c2(a,7,5,c1,c2,c3);
532 r[12]=c1;
533 c1=0;
534 sqr_add_c2(a,7,6,c2,c3,c1);
535 r[13]=c2;
536 c2=0;
537 sqr_add_c(a,7,c3,c1,c2);
538 r[14]=c3;
539 r[15]=c1;
540 }
541
542void bn_sqr_comba4(BN_ULONG *r, BN_ULONG *a)
543 {
544 BN_ULONG bl,bh;
545 BN_ULONG t1,t2;
546 BN_ULONG c1,c2,c3;
547
548 c1=0;
549 c2=0;
550 c3=0;
551 sqr_add_c(a,0,c1,c2,c3);
552 r[0]=c1;
553 c1=0;
554 sqr_add_c2(a,1,0,c2,c3,c1);
555 r[1]=c2;
556 c2=0;
557 sqr_add_c(a,1,c3,c1,c2);
558 sqr_add_c2(a,2,0,c3,c1,c2);
559 r[2]=c3;
560 c3=0;
561 sqr_add_c2(a,3,0,c1,c2,c3);
562 sqr_add_c2(a,2,1,c1,c2,c3);
563 r[3]=c1;
564 c1=0;
565 sqr_add_c(a,2,c2,c3,c1);
566 sqr_add_c2(a,3,1,c2,c3,c1);
567 r[4]=c2;
568 c2=0;
569 sqr_add_c2(a,3,2,c3,c1,c2);
570 r[5]=c3;
571 c3=0;
572 sqr_add_c(a,3,c1,c2,c3);
573 r[6]=c1;
574 r[7]=c2;
575 }
generated by cgit v1.2.3-55-g6feb (git 2.39.1) at 2026-01-09 01:27:43 +0000