Coverage Report

Created: 2023-09-25 06:45

/src/openssl30/crypto/bn/asm/x86_64-gcc.c
Line
Count
Source (jump to first uncovered line)
1
/*
2
 * Copyright 2002-2018 The OpenSSL Project Authors. All Rights Reserved.
3
 *
4
 * Licensed under the Apache License 2.0 (the "License").  You may not use
5
 * this file except in compliance with the License.  You can obtain a copy
6
 * in the file LICENSE in the source distribution or at
7
 * https://www.openssl.org/source/license.html
8
 */
9
10
#include "../bn_local.h"
11
#if !(defined(__GNUC__) && __GNUC__>=2)
12
# include "../bn_asm.c"         /* kind of dirty hack for Sun Studio */
13
#else
14
/*-
15
 * x86_64 BIGNUM accelerator version 0.1, December 2002.
16
 *
17
 * Implemented by Andy Polyakov <appro@openssl.org> for the OpenSSL
18
 * project.
19
 *
20
 * Rights for redistribution and usage in source and binary forms are
21
 * granted according to the License. Warranty of any kind is disclaimed.
22
 *
23
 * Q. Version 0.1? It doesn't sound like Andy, he used to assign real
24
 *    versions, like 1.0...
25
 * A. Well, that's because this code is basically a quick-n-dirty
26
 *    proof-of-concept hack. As you can see it's implemented with
27
 *    inline assembler, which means that you're bound to GCC and that
28
 *    there might be enough room for further improvement.
29
 *
30
 * Q. Why inline assembler?
31
 * A. x86_64 features own ABI which I'm not familiar with. This is
32
 *    why I decided to let the compiler take care of subroutine
33
 *    prologue/epilogue as well as register allocation. For reference.
34
 *    Win64 implements different ABI for AMD64, different from Linux.
35
 *
36
 * Q. How much faster does it get?
37
 * A. 'apps/openssl speed rsa dsa' output with no-asm:
38
 *
39
 *                        sign    verify    sign/s verify/s
40
 *      rsa  512 bits   0.0006s   0.0001s   1683.8  18456.2
41
 *      rsa 1024 bits   0.0028s   0.0002s    356.0   6407.0
42
 *      rsa 2048 bits   0.0172s   0.0005s     58.0   1957.8
43
 *      rsa 4096 bits   0.1155s   0.0018s      8.7    555.6
44
 *                        sign    verify    sign/s verify/s
45
 *      dsa  512 bits   0.0005s   0.0006s   2100.8   1768.3
46
 *      dsa 1024 bits   0.0014s   0.0018s    692.3    559.2
47
 *      dsa 2048 bits   0.0049s   0.0061s    204.7    165.0
48
 *
49
 *    'apps/openssl speed rsa dsa' output with this module:
50
 *
51
 *                        sign    verify    sign/s verify/s
52
 *      rsa  512 bits   0.0004s   0.0000s   2767.1  33297.9
53
 *      rsa 1024 bits   0.0012s   0.0001s    867.4  14674.7
54
 *      rsa 2048 bits   0.0061s   0.0002s    164.0   5270.0
55
 *      rsa 4096 bits   0.0384s   0.0006s     26.1   1650.8
56
 *                        sign    verify    sign/s verify/s
57
 *      dsa  512 bits   0.0002s   0.0003s   4442.2   3786.3
58
 *      dsa 1024 bits   0.0005s   0.0007s   1835.1   1497.4
59
 *      dsa 2048 bits   0.0016s   0.0020s    620.4    504.6
60
 *
61
 *    For the reference. IA-32 assembler implementation performs
62
 *    very much like 64-bit code compiled with no-asm on the same
63
 *    machine.
64
 */
65
66
# undef mul
67
# undef mul_add
68
69
/*-
70
 * "m"(a), "+m"(r)      is the way to favor DirectPath ยต-code;
71
 * "g"(0)               let the compiler to decide where does it
72
 *                      want to keep the value of zero;
73
 */
74
60.0G
# define mul_add(r,a,word,carry) do {   \
75
60.0G
        register BN_ULONG high,low;     \
76
60.0G
        asm ("mulq %3"                  \
77
60.0G
                : "=a"(low),"=d"(high)  \
78
60.0G
                : "a"(word),"m"(a)      \
79
60.0G
                : "cc");                \
80
60.0G
        asm ("addq %2,%0; adcq %3,%1"   \
81
60.0G
                : "+r"(carry),"+d"(high)\
82
60.0G
                : "a"(low),"g"(0)       \
83
60.0G
                : "cc");                \
84
60.0G
        asm ("addq %2,%0; adcq %3,%1"   \
85
60.0G
                : "+m"(r),"+d"(high)    \
86
60.0G
                : "r"(carry),"g"(0)     \
87
60.0G
                : "cc");                \
88
60.0G
        carry=high;                     \
89
60.0G
        } while (0)
90
91
11.5G
# define mul(r,a,word,carry) do {       \
92
11.5G
        register BN_ULONG high,low;     \
93
11.5G
        asm ("mulq %3"                  \
94
11.5G
                : "=a"(low),"=d"(high)  \
95
11.5G
                : "a"(word),"g"(a)      \
96
11.5G
                : "cc");                \
97
11.5G
        asm ("addq %2,%0; adcq %3,%1"   \
98
11.5G
                : "+r"(carry),"+d"(high)\
99
11.5G
                : "a"(low),"g"(0)       \
100
11.5G
                : "cc");                \
101
11.5G
        (r)=carry, carry=high;          \
102
11.5G
        } while (0)
103
# undef sqr
104
# define sqr(r0,r1,a)                   \
105
36.3M
        asm ("mulq %2"                  \
106
36.3M
                : "=a"(r0),"=d"(r1)     \
107
36.3M
                : "a"(a)                \
108
36.3M
                : "cc");
109
110
BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num,
111
                          BN_ULONG w)
112
78.1M
{
113
78.1M
    BN_ULONG c1 = 0;
114
115
78.1M
    if (num <= 0)
116
0
        return c1;
117
118
15.0G
    while (num & ~3) {
119
14.9G
        mul_add(rp[0], ap[0], w, c1);
120
14.9G
        mul_add(rp[1], ap[1], w, c1);
121
14.9G
        mul_add(rp[2], ap[2], w, c1);
122
14.9G
        mul_add(rp[3], ap[3], w, c1);
123
14.9G
        ap += 4;
124
14.9G
        rp += 4;
125
14.9G
        num -= 4;
126
14.9G
    }
127
78.1M
    if (num) {
128
48.3M
        mul_add(rp[0], ap[0], w, c1);
129
48.3M
        if (--num == 0)
130
22.8M
            return c1;
131
25.5M
        mul_add(rp[1], ap[1], w, c1);
132
25.5M
        if (--num == 0)
133
12.9M
            return c1;
134
12.5M
        mul_add(rp[2], ap[2], w, c1);
135
12.5M
        return c1;
136
25.5M
    }
137
138
29.7M
    return c1;
139
78.1M
}
140
141
BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
142
251M
{
143
251M
    BN_ULONG c1 = 0;
144
145
251M
    if (num <= 0)
146
0
        return c1;
147
148
3.12G
    while (num & ~3) {
149
2.87G
        mul(rp[0], ap[0], w, c1);
150
2.87G
        mul(rp[1], ap[1], w, c1);
151
2.87G
        mul(rp[2], ap[2], w, c1);
152
2.87G
        mul(rp[3], ap[3], w, c1);
153
2.87G
        ap += 4;
154
2.87G
        rp += 4;
155
2.87G
        num -= 4;
156
2.87G
    }
157
251M
    if (num) {
158
33.7M
        mul(rp[0], ap[0], w, c1);
159
33.7M
        if (--num == 0)
160
20.0M
            return c1;
161
13.7M
        mul(rp[1], ap[1], w, c1);
162
13.7M
        if (--num == 0)
163
8.25M
            return c1;
164
5.50M
        mul(rp[2], ap[2], w, c1);
165
5.50M
    }
166
223M
    return c1;
167
251M
}
168
169
void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n)
170
5.82M
{
171
5.82M
    if (n <= 0)
172
0
        return;
173
174
13.2M
    while (n & ~3) {
175
7.40M
        sqr(r[0], r[1], a[0]);
176
7.40M
        sqr(r[2], r[3], a[1]);
177
7.40M
        sqr(r[4], r[5], a[2]);
178
7.40M
        sqr(r[6], r[7], a[3]);
179
7.40M
        a += 4;
180
7.40M
        r += 8;
181
7.40M
        n -= 4;
182
7.40M
    }
183
5.82M
    if (n) {
184
5.79M
        sqr(r[0], r[1], a[0]);
185
5.79M
        if (--n == 0)
186
4.96M
            return;
187
828k
        sqr(r[2], r[3], a[1]);
188
828k
        if (--n == 0)
189
734k
            return;
190
93.4k
        sqr(r[4], r[5], a[2]);
191
93.4k
    }
192
5.82M
}
193
194
BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
195
230M
{
196
230M
    BN_ULONG ret, waste;
197
198
230M
 asm("divq      %4":"=a"(ret), "=d"(waste)
199
230M
 :     "a"(l), "d"(h), "r"(d)
200
230M
 :     "cc");
201
202
230M
    return ret;
203
230M
}
204
205
BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
206
                      int n)
207
405M
{
208
405M
    BN_ULONG ret;
209
405M
    size_t i = 0;
210
211
405M
    if (n <= 0)
212
3.56M
        return 0;
213
214
402M
    asm volatile ("       subq    %0,%0           \n" /* clear carry */
215
402M
                  "       jmp     1f              \n"
216
402M
                  ".p2align 4                     \n"
217
402M
                  "1:     movq    (%4,%2,8),%0    \n"
218
402M
                  "       adcq    (%5,%2,8),%0    \n"
219
402M
                  "       movq    %0,(%3,%2,8)    \n"
220
402M
                  "       lea     1(%2),%2        \n"
221
402M
                  "       dec     %1              \n"
222
402M
                  "       jnz     1b              \n"
223
402M
                  "       sbbq    %0,%0           \n"
224
402M
                  :"=&r" (ret), "+c"(n), "+r"(i)
225
402M
                  :"r"(rp), "r"(ap), "r"(bp)
226
402M
                  :"cc", "memory");
227
228
402M
    return ret & 1;
229
405M
}
230
231
# ifndef SIMICS
232
BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
233
                      int n)
234
396M
{
235
396M
    BN_ULONG ret;
236
396M
    size_t i = 0;
237
238
396M
    if (n <= 0)
239
4.21M
        return 0;
240
241
392M
    asm volatile ("       subq    %0,%0           \n" /* clear borrow */
242
392M
                  "       jmp     1f              \n"
243
392M
                  ".p2align 4                     \n"
244
392M
                  "1:     movq    (%4,%2,8),%0    \n"
245
392M
                  "       sbbq    (%5,%2,8),%0    \n"
246
392M
                  "       movq    %0,(%3,%2,8)    \n"
247
392M
                  "       lea     1(%2),%2        \n"
248
392M
                  "       dec     %1              \n"
249
392M
                  "       jnz     1b              \n"
250
392M
                  "       sbbq    %0,%0           \n"
251
392M
                  :"=&r" (ret), "+c"(n), "+r"(i)
252
392M
                  :"r"(rp), "r"(ap), "r"(bp)
253
392M
                  :"cc", "memory");
254
255
392M
    return ret & 1;
256
396M
}
257
# else
258
/* Simics 1.4<7 has buggy sbbq:-( */
259
#  define BN_MASK2 0xffffffffffffffffL
260
BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
261
{
262
    BN_ULONG t1, t2;
263
    int c = 0;
264
265
    if (n <= 0)
266
        return (BN_ULONG)0;
267
268
    for (;;) {
269
        t1 = a[0];
270
        t2 = b[0];
271
        r[0] = (t1 - t2 - c) & BN_MASK2;
272
        if (t1 != t2)
273
            c = (t1 < t2);
274
        if (--n <= 0)
275
            break;
276
277
        t1 = a[1];
278
        t2 = b[1];
279
        r[1] = (t1 - t2 - c) & BN_MASK2;
280
        if (t1 != t2)
281
            c = (t1 < t2);
282
        if (--n <= 0)
283
            break;
284
285
        t1 = a[2];
286
        t2 = b[2];
287
        r[2] = (t1 - t2 - c) & BN_MASK2;
288
        if (t1 != t2)
289
            c = (t1 < t2);
290
        if (--n <= 0)
291
            break;
292
293
        t1 = a[3];
294
        t2 = b[3];
295
        r[3] = (t1 - t2 - c) & BN_MASK2;
296
        if (t1 != t2)
297
            c = (t1 < t2);
298
        if (--n <= 0)
299
            break;
300
301
        a += 4;
302
        b += 4;
303
        r += 4;
304
    }
305
    return c;
306
}
307
# endif
308
309
/* mul_add_c(a,b,c0,c1,c2)  -- c+=a*b for three word number c=(c2,c1,c0) */
310
/* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */
311
/* sqr_add_c(a,i,c0,c1,c2)  -- c+=a[i]^2 for three word number c=(c2,c1,c0) */
312
/*
313
 * sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number
314
 * c=(c2,c1,c0)
315
 */
316
317
/*
318
 * Keep in mind that carrying into high part of multiplication result
319
 * can not overflow, because it cannot be all-ones.
320
 */
321
# if 0
322
/* original macros are kept for reference purposes */
323
#  define mul_add_c(a,b,c0,c1,c2)       do {    \
324
        BN_ULONG ta = (a), tb = (b);            \
325
        BN_ULONG lo, hi;                        \
326
        BN_UMULT_LOHI(lo,hi,ta,tb);             \
327
        c0 += lo; hi += (c0<lo)?1:0;            \
328
        c1 += hi; c2 += (c1<hi)?1:0;            \
329
        } while(0)
330
331
#  define mul_add_c2(a,b,c0,c1,c2)      do {    \
332
        BN_ULONG ta = (a), tb = (b);            \
333
        BN_ULONG lo, hi, tt;                    \
334
        BN_UMULT_LOHI(lo,hi,ta,tb);             \
335
        c0 += lo; tt = hi+((c0<lo)?1:0);        \
336
        c1 += tt; c2 += (c1<tt)?1:0;            \
337
        c0 += lo; hi += (c0<lo)?1:0;            \
338
        c1 += hi; c2 += (c1<hi)?1:0;            \
339
        } while(0)
340
341
#  define sqr_add_c(a,i,c0,c1,c2)       do {    \
342
        BN_ULONG ta = (a)[i];                   \
343
        BN_ULONG lo, hi;                        \
344
        BN_UMULT_LOHI(lo,hi,ta,ta);             \
345
        c0 += lo; hi += (c0<lo)?1:0;            \
346
        c1 += hi; c2 += (c1<hi)?1:0;            \
347
        } while(0)
348
# else
349
4.78G
#  define mul_add_c(a,b,c0,c1,c2) do {  \
350
4.78G
        BN_ULONG t1,t2;                 \
351
4.78G
        asm ("mulq %3"                  \
352
4.78G
                : "=a"(t1),"=d"(t2)     \
353
4.78G
                : "a"(a),"m"(b)         \
354
4.78G
                : "cc");                \
355
4.78G
        asm ("addq %3,%0; adcq %4,%1; adcq %5,%2"       \
356
4.78G
                : "+r"(c0),"+r"(c1),"+r"(c2)            \
357
4.78G
                : "r"(t1),"r"(t2),"g"(0)                \
358
4.78G
                : "cc");                                \
359
4.78G
        } while (0)
360
361
261M
#  define sqr_add_c(a,i,c0,c1,c2) do {  \
362
261M
        BN_ULONG t1,t2;                 \
363
261M
        asm ("mulq %2"                  \
364
261M
                : "=a"(t1),"=d"(t2)     \
365
261M
                : "a"(a[i])             \
366
261M
                : "cc");                \
367
261M
        asm ("addq %3,%0; adcq %4,%1; adcq %5,%2"       \
368
261M
                : "+r"(c0),"+r"(c1),"+r"(c2)            \
369
261M
                : "r"(t1),"r"(t2),"g"(0)                \
370
261M
                : "cc");                                \
371
261M
        } while (0)
372
373
528M
#  define mul_add_c2(a,b,c0,c1,c2) do { \
374
528M
        BN_ULONG t1,t2;                 \
375
528M
        asm ("mulq %3"                  \
376
528M
                : "=a"(t1),"=d"(t2)     \
377
528M
                : "a"(a),"m"(b)         \
378
528M
                : "cc");                \
379
528M
        asm ("addq %3,%0; adcq %4,%1; adcq %5,%2"       \
380
528M
                : "+r"(c0),"+r"(c1),"+r"(c2)            \
381
528M
                : "r"(t1),"r"(t2),"g"(0)                \
382
528M
                : "cc");                                \
383
528M
        asm ("addq %3,%0; adcq %4,%1; adcq %5,%2"       \
384
528M
                : "+r"(c0),"+r"(c1),"+r"(c2)            \
385
528M
                : "r"(t1),"r"(t2),"g"(0)                \
386
528M
                : "cc");                                \
387
528M
        } while (0)
388
# endif
389
390
# define sqr_add_c2(a,i,j,c0,c1,c2)      \
391
528M
        mul_add_c2((a)[i],(a)[j],c0,c1,c2)
392
393
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
394
74.7M
{
395
74.7M
    BN_ULONG c1, c2, c3;
396
397
74.7M
    c1 = 0;
398
74.7M
    c2 = 0;
399
74.7M
    c3 = 0;
400
74.7M
    mul_add_c(a[0], b[0], c1, c2, c3);
401
74.7M
    r[0] = c1;
402
74.7M
    c1 = 0;
403
74.7M
    mul_add_c(a[0], b[1], c2, c3, c1);
404
74.7M
    mul_add_c(a[1], b[0], c2, c3, c1);
405
74.7M
    r[1] = c2;
406
74.7M
    c2 = 0;
407
74.7M
    mul_add_c(a[2], b[0], c3, c1, c2);
408
74.7M
    mul_add_c(a[1], b[1], c3, c1, c2);
409
74.7M
    mul_add_c(a[0], b[2], c3, c1, c2);
410
74.7M
    r[2] = c3;
411
74.7M
    c3 = 0;
412
74.7M
    mul_add_c(a[0], b[3], c1, c2, c3);
413
74.7M
    mul_add_c(a[1], b[2], c1, c2, c3);
414
74.7M
    mul_add_c(a[2], b[1], c1, c2, c3);
415
74.7M
    mul_add_c(a[3], b[0], c1, c2, c3);
416
74.7M
    r[3] = c1;
417
74.7M
    c1 = 0;
418
74.7M
    mul_add_c(a[4], b[0], c2, c3, c1);
419
74.7M
    mul_add_c(a[3], b[1], c2, c3, c1);
420
74.7M
    mul_add_c(a[2], b[2], c2, c3, c1);
421
74.7M
    mul_add_c(a[1], b[3], c2, c3, c1);
422
74.7M
    mul_add_c(a[0], b[4], c2, c3, c1);
423
74.7M
    r[4] = c2;
424
74.7M
    c2 = 0;
425
74.7M
    mul_add_c(a[0], b[5], c3, c1, c2);
426
74.7M
    mul_add_c(a[1], b[4], c3, c1, c2);
427
74.7M
    mul_add_c(a[2], b[3], c3, c1, c2);
428
74.7M
    mul_add_c(a[3], b[2], c3, c1, c2);
429
74.7M
    mul_add_c(a[4], b[1], c3, c1, c2);
430
74.7M
    mul_add_c(a[5], b[0], c3, c1, c2);
431
74.7M
    r[5] = c3;
432
74.7M
    c3 = 0;
433
74.7M
    mul_add_c(a[6], b[0], c1, c2, c3);
434
74.7M
    mul_add_c(a[5], b[1], c1, c2, c3);
435
74.7M
    mul_add_c(a[4], b[2], c1, c2, c3);
436
74.7M
    mul_add_c(a[3], b[3], c1, c2, c3);
437
74.7M
    mul_add_c(a[2], b[4], c1, c2, c3);
438
74.7M
    mul_add_c(a[1], b[5], c1, c2, c3);
439
74.7M
    mul_add_c(a[0], b[6], c1, c2, c3);
440
74.7M
    r[6] = c1;
441
74.7M
    c1 = 0;
442
74.7M
    mul_add_c(a[0], b[7], c2, c3, c1);
443
74.7M
    mul_add_c(a[1], b[6], c2, c3, c1);
444
74.7M
    mul_add_c(a[2], b[5], c2, c3, c1);
445
74.7M
    mul_add_c(a[3], b[4], c2, c3, c1);
446
74.7M
    mul_add_c(a[4], b[3], c2, c3, c1);
447
74.7M
    mul_add_c(a[5], b[2], c2, c3, c1);
448
74.7M
    mul_add_c(a[6], b[1], c2, c3, c1);
449
74.7M
    mul_add_c(a[7], b[0], c2, c3, c1);
450
74.7M
    r[7] = c2;
451
74.7M
    c2 = 0;
452
74.7M
    mul_add_c(a[7], b[1], c3, c1, c2);
453
74.7M
    mul_add_c(a[6], b[2], c3, c1, c2);
454
74.7M
    mul_add_c(a[5], b[3], c3, c1, c2);
455
74.7M
    mul_add_c(a[4], b[4], c3, c1, c2);
456
74.7M
    mul_add_c(a[3], b[5], c3, c1, c2);
457
74.7M
    mul_add_c(a[2], b[6], c3, c1, c2);
458
74.7M
    mul_add_c(a[1], b[7], c3, c1, c2);
459
74.7M
    r[8] = c3;
460
74.7M
    c3 = 0;
461
74.7M
    mul_add_c(a[2], b[7], c1, c2, c3);
462
74.7M
    mul_add_c(a[3], b[6], c1, c2, c3);
463
74.7M
    mul_add_c(a[4], b[5], c1, c2, c3);
464
74.7M
    mul_add_c(a[5], b[4], c1, c2, c3);
465
74.7M
    mul_add_c(a[6], b[3], c1, c2, c3);
466
74.7M
    mul_add_c(a[7], b[2], c1, c2, c3);
467
74.7M
    r[9] = c1;
468
74.7M
    c1 = 0;
469
74.7M
    mul_add_c(a[7], b[3], c2, c3, c1);
470
74.7M
    mul_add_c(a[6], b[4], c2, c3, c1);
471
74.7M
    mul_add_c(a[5], b[5], c2, c3, c1);
472
74.7M
    mul_add_c(a[4], b[6], c2, c3, c1);
473
74.7M
    mul_add_c(a[3], b[7], c2, c3, c1);
474
74.7M
    r[10] = c2;
475
74.7M
    c2 = 0;
476
74.7M
    mul_add_c(a[4], b[7], c3, c1, c2);
477
74.7M
    mul_add_c(a[5], b[6], c3, c1, c2);
478
74.7M
    mul_add_c(a[6], b[5], c3, c1, c2);
479
74.7M
    mul_add_c(a[7], b[4], c3, c1, c2);
480
74.7M
    r[11] = c3;
481
74.7M
    c3 = 0;
482
74.7M
    mul_add_c(a[7], b[5], c1, c2, c3);
483
74.7M
    mul_add_c(a[6], b[6], c1, c2, c3);
484
74.7M
    mul_add_c(a[5], b[7], c1, c2, c3);
485
74.7M
    r[12] = c1;
486
74.7M
    c1 = 0;
487
74.7M
    mul_add_c(a[6], b[7], c2, c3, c1);
488
74.7M
    mul_add_c(a[7], b[6], c2, c3, c1);
489
74.7M
    r[13] = c2;
490
74.7M
    c2 = 0;
491
74.7M
    mul_add_c(a[7], b[7], c3, c1, c2);
492
74.7M
    r[14] = c3;
493
74.7M
    r[15] = c1;
494
74.7M
}
495
496
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
497
0
{
498
0
    BN_ULONG c1, c2, c3;
499
500
0
    c1 = 0;
501
0
    c2 = 0;
502
0
    c3 = 0;
503
0
    mul_add_c(a[0], b[0], c1, c2, c3);
504
0
    r[0] = c1;
505
0
    c1 = 0;
506
0
    mul_add_c(a[0], b[1], c2, c3, c1);
507
0
    mul_add_c(a[1], b[0], c2, c3, c1);
508
0
    r[1] = c2;
509
0
    c2 = 0;
510
0
    mul_add_c(a[2], b[0], c3, c1, c2);
511
0
    mul_add_c(a[1], b[1], c3, c1, c2);
512
0
    mul_add_c(a[0], b[2], c3, c1, c2);
513
0
    r[2] = c3;
514
0
    c3 = 0;
515
0
    mul_add_c(a[0], b[3], c1, c2, c3);
516
0
    mul_add_c(a[1], b[2], c1, c2, c3);
517
0
    mul_add_c(a[2], b[1], c1, c2, c3);
518
0
    mul_add_c(a[3], b[0], c1, c2, c3);
519
0
    r[3] = c1;
520
0
    c1 = 0;
521
0
    mul_add_c(a[3], b[1], c2, c3, c1);
522
0
    mul_add_c(a[2], b[2], c2, c3, c1);
523
0
    mul_add_c(a[1], b[3], c2, c3, c1);
524
0
    r[4] = c2;
525
0
    c2 = 0;
526
0
    mul_add_c(a[2], b[3], c3, c1, c2);
527
0
    mul_add_c(a[3], b[2], c3, c1, c2);
528
0
    r[5] = c3;
529
0
    c3 = 0;
530
0
    mul_add_c(a[3], b[3], c1, c2, c3);
531
0
    r[6] = c1;
532
0
    r[7] = c2;
533
0
}
534
535
void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a)
536
8.56M
{
537
8.56M
    BN_ULONG c1, c2, c3;
538
539
8.56M
    c1 = 0;
540
8.56M
    c2 = 0;
541
8.56M
    c3 = 0;
542
8.56M
    sqr_add_c(a, 0, c1, c2, c3);
543
8.56M
    r[0] = c1;
544
8.56M
    c1 = 0;
545
8.56M
    sqr_add_c2(a, 1, 0, c2, c3, c1);
546
8.56M
    r[1] = c2;
547
8.56M
    c2 = 0;
548
8.56M
    sqr_add_c(a, 1, c3, c1, c2);
549
8.56M
    sqr_add_c2(a, 2, 0, c3, c1, c2);
550
8.56M
    r[2] = c3;
551
8.56M
    c3 = 0;
552
8.56M
    sqr_add_c2(a, 3, 0, c1, c2, c3);
553
8.56M
    sqr_add_c2(a, 2, 1, c1, c2, c3);
554
8.56M
    r[3] = c1;
555
8.56M
    c1 = 0;
556
8.56M
    sqr_add_c(a, 2, c2, c3, c1);
557
8.56M
    sqr_add_c2(a, 3, 1, c2, c3, c1);
558
8.56M
    sqr_add_c2(a, 4, 0, c2, c3, c1);
559
8.56M
    r[4] = c2;
560
8.56M
    c2 = 0;
561
8.56M
    sqr_add_c2(a, 5, 0, c3, c1, c2);
562
8.56M
    sqr_add_c2(a, 4, 1, c3, c1, c2);
563
8.56M
    sqr_add_c2(a, 3, 2, c3, c1, c2);
564
8.56M
    r[5] = c3;
565
8.56M
    c3 = 0;
566
8.56M
    sqr_add_c(a, 3, c1, c2, c3);
567
8.56M
    sqr_add_c2(a, 4, 2, c1, c2, c3);
568
8.56M
    sqr_add_c2(a, 5, 1, c1, c2, c3);
569
8.56M
    sqr_add_c2(a, 6, 0, c1, c2, c3);
570
8.56M
    r[6] = c1;
571
8.56M
    c1 = 0;
572
8.56M
    sqr_add_c2(a, 7, 0, c2, c3, c1);
573
8.56M
    sqr_add_c2(a, 6, 1, c2, c3, c1);
574
8.56M
    sqr_add_c2(a, 5, 2, c2, c3, c1);
575
8.56M
    sqr_add_c2(a, 4, 3, c2, c3, c1);
576
8.56M
    r[7] = c2;
577
8.56M
    c2 = 0;
578
8.56M
    sqr_add_c(a, 4, c3, c1, c2);
579
8.56M
    sqr_add_c2(a, 5, 3, c3, c1, c2);
580
8.56M
    sqr_add_c2(a, 6, 2, c3, c1, c2);
581
8.56M
    sqr_add_c2(a, 7, 1, c3, c1, c2);
582
8.56M
    r[8] = c3;
583
8.56M
    c3 = 0;
584
8.56M
    sqr_add_c2(a, 7, 2, c1, c2, c3);
585
8.56M
    sqr_add_c2(a, 6, 3, c1, c2, c3);
586
8.56M
    sqr_add_c2(a, 5, 4, c1, c2, c3);
587
8.56M
    r[9] = c1;
588
8.56M
    c1 = 0;
589
8.56M
    sqr_add_c(a, 5, c2, c3, c1);
590
8.56M
    sqr_add_c2(a, 6, 4, c2, c3, c1);
591
8.56M
    sqr_add_c2(a, 7, 3, c2, c3, c1);
592
8.56M
    r[10] = c2;
593
8.56M
    c2 = 0;
594
8.56M
    sqr_add_c2(a, 7, 4, c3, c1, c2);
595
8.56M
    sqr_add_c2(a, 6, 5, c3, c1, c2);
596
8.56M
    r[11] = c3;
597
8.56M
    c3 = 0;
598
8.56M
    sqr_add_c(a, 6, c1, c2, c3);
599
8.56M
    sqr_add_c2(a, 7, 5, c1, c2, c3);
600
8.56M
    r[12] = c1;
601
8.56M
    c1 = 0;
602
8.56M
    sqr_add_c2(a, 7, 6, c2, c3, c1);
603
8.56M
    r[13] = c2;
604
8.56M
    c2 = 0;
605
8.56M
    sqr_add_c(a, 7, c3, c1, c2);
606
8.56M
    r[14] = c3;
607
8.56M
    r[15] = c1;
608
8.56M
}
609
610
void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a)
611
48.1M
{
612
48.1M
    BN_ULONG c1, c2, c3;
613
614
48.1M
    c1 = 0;
615
48.1M
    c2 = 0;
616
48.1M
    c3 = 0;
617
48.1M
    sqr_add_c(a, 0, c1, c2, c3);
618
48.1M
    r[0] = c1;
619
48.1M
    c1 = 0;
620
48.1M
    sqr_add_c2(a, 1, 0, c2, c3, c1);
621
48.1M
    r[1] = c2;
622
48.1M
    c2 = 0;
623
48.1M
    sqr_add_c(a, 1, c3, c1, c2);
624
48.1M
    sqr_add_c2(a, 2, 0, c3, c1, c2);
625
48.1M
    r[2] = c3;
626
48.1M
    c3 = 0;
627
48.1M
    sqr_add_c2(a, 3, 0, c1, c2, c3);
628
48.1M
    sqr_add_c2(a, 2, 1, c1, c2, c3);
629
48.1M
    r[3] = c1;
630
48.1M
    c1 = 0;
631
48.1M
    sqr_add_c(a, 2, c2, c3, c1);
632
48.1M
    sqr_add_c2(a, 3, 1, c2, c3, c1);
633
48.1M
    r[4] = c2;
634
48.1M
    c2 = 0;
635
48.1M
    sqr_add_c2(a, 3, 2, c3, c1, c2);
636
48.1M
    r[5] = c3;
637
48.1M
    c3 = 0;
638
48.1M
    sqr_add_c(a, 3, c1, c2, c3);
639
48.1M
    r[6] = c1;
640
48.1M
    r[7] = c2;
641
48.1M
}
642
#endif