Coverage Report

Created: 2025-12-31 06:58

next uncovered line (L), next uncovered region (R), next uncovered branch (B)
/src/openssl34/crypto/bn/asm/x86_64-gcc.c
Line
Count
Source
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
/* clang-format off */
13
# include "../bn_asm.c"         /* kind of dirty hack for Sun Studio */
14
/* clang-format on */
15
#else
16
/*-
17
 * x86_64 BIGNUM accelerator version 0.1, December 2002.
18
 *
19
 * Implemented by Andy Polyakov <appro@openssl.org> for the OpenSSL
20
 * project.
21
 *
22
 * Rights for redistribution and usage in source and binary forms are
23
 * granted according to the License. Warranty of any kind is disclaimed.
24
 *
25
 * Q. Version 0.1? It doesn't sound like Andy, he used to assign real
26
 *    versions, like 1.0...
27
 * A. Well, that's because this code is basically a quick-n-dirty
28
 *    proof-of-concept hack. As you can see it's implemented with
29
 *    inline assembler, which means that you're bound to GCC and that
30
 *    there might be enough room for further improvement.
31
 *
32
 * Q. Why inline assembler?
33
 * A. x86_64 features own ABI which I'm not familiar with. This is
34
 *    why I decided to let the compiler take care of subroutine
35
 *    prologue/epilogue as well as register allocation. For reference.
36
 *    Win64 implements different ABI for AMD64, different from Linux.
37
 *
38
 * Q. How much faster does it get?
39
 * A. 'apps/openssl speed rsa dsa' output with no-asm:
40
 *
41
 *                        sign    verify    sign/s verify/s
42
 *      rsa  512 bits   0.0006s   0.0001s   1683.8  18456.2
43
 *      rsa 1024 bits   0.0028s   0.0002s    356.0   6407.0
44
 *      rsa 2048 bits   0.0172s   0.0005s     58.0   1957.8
45
 *      rsa 4096 bits   0.1155s   0.0018s      8.7    555.6
46
 *                        sign    verify    sign/s verify/s
47
 *      dsa  512 bits   0.0005s   0.0006s   2100.8   1768.3
48
 *      dsa 1024 bits   0.0014s   0.0018s    692.3    559.2
49
 *      dsa 2048 bits   0.0049s   0.0061s    204.7    165.0
50
 *
51
 *    'apps/openssl speed rsa dsa' output with this module:
52
 *
53
 *                        sign    verify    sign/s verify/s
54
 *      rsa  512 bits   0.0004s   0.0000s   2767.1  33297.9
55
 *      rsa 1024 bits   0.0012s   0.0001s    867.4  14674.7
56
 *      rsa 2048 bits   0.0061s   0.0002s    164.0   5270.0
57
 *      rsa 4096 bits   0.0384s   0.0006s     26.1   1650.8
58
 *                        sign    verify    sign/s verify/s
59
 *      dsa  512 bits   0.0002s   0.0003s   4442.2   3786.3
60
 *      dsa 1024 bits   0.0005s   0.0007s   1835.1   1497.4
61
 *      dsa 2048 bits   0.0016s   0.0020s    620.4    504.6
62
 *
63
 *    For the reference. IA-32 assembler implementation performs
64
 *    very much like 64-bit code compiled with no-asm on the same
65
 *    machine.
66
 */
67
68
#undef mul
69
#undef mul_add
70
71
/*-
72
 * "m"(a), "+m"(r)      is the way to favor DirectPath ยต-code;
73
 * "g"(0)               let the compiler to decide where does it
74
 *                      want to keep the value of zero;
75
 */
76
#define mul_add(r, a, word, carry)    \
77
163G
    do {                              \
78
163G
        register BN_ULONG high, low;  \
79
163G
        asm("mulq %3"                 \
80
163G
            : "=a"(low), "=d"(high)   \
81
163G
            : "a"(word), "m"(a)       \
82
163G
            : "cc");                  \
83
163G
        asm("addq %2,%0; adcq %3,%1"  \
84
163G
            : "+r"(carry), "+d"(high) \
85
163G
            : "a"(low), "g"(0)        \
86
163G
            : "cc");                  \
87
163G
        asm("addq %2,%0; adcq %3,%1"  \
88
163G
            : "+m"(r), "+d"(high)     \
89
163G
            : "r"(carry), "g"(0)      \
90
163G
            : "cc");                  \
91
163G
        carry = high;                 \
92
163G
    } while (0)
93
94
#define mul(r, a, word, carry)        \
95
27.0G
    do {                              \
96
27.0G
        register BN_ULONG high, low;  \
97
27.0G
        asm("mulq %3"                 \
98
27.0G
            : "=a"(low), "=d"(high)   \
99
27.0G
            : "a"(word), "g"(a)       \
100
27.0G
            : "cc");                  \
101
27.0G
        asm("addq %2,%0; adcq %3,%1"  \
102
27.0G
            : "+r"(carry), "+d"(high) \
103
27.0G
            : "a"(low), "g"(0)        \
104
27.0G
            : "cc");                  \
105
27.0G
        (r) = carry, carry = high;    \
106
27.0G
    } while (0)
107
#undef sqr
108
#define sqr(r0, r1, a)       \
109
89.3M
    asm("mulq %2"            \
110
89.3M
        : "=a"(r0), "=d"(r1) \
111
89.3M
        : "a"(a)             \
112
89.3M
        : "cc");
113
114
BN_ULONG bn_mul_add_words(BN_ULONG *rp, const BN_ULONG *ap, int num,
115
    BN_ULONG w)
116
213M
{
117
213M
    BN_ULONG c1 = 0;
118
119
213M
    if (num <= 0)
120
0
        return c1;
121
122
41.0G
    while (num & ~3) {
123
40.8G
        mul_add(rp[0], ap[0], w, c1);
124
40.8G
        mul_add(rp[1], ap[1], w, c1);
125
40.8G
        mul_add(rp[2], ap[2], w, c1);
126
40.8G
        mul_add(rp[3], ap[3], w, c1);
127
40.8G
        ap += 4;
128
40.8G
        rp += 4;
129
40.8G
        num -= 4;
130
40.8G
    }
131
213M
    if (num) {
132
140M
        mul_add(rp[0], ap[0], w, c1);
133
140M
        if (--num == 0)
134
53.7M
            return c1;
135
87.1M
        mul_add(rp[1], ap[1], w, c1);
136
87.1M
        if (--num == 0)
137
39.0M
            return c1;
138
48.0M
        mul_add(rp[2], ap[2], w, c1);
139
48.0M
        return c1;
140
87.1M
    }
141
142
72.4M
    return c1;
143
213M
}
144
145
BN_ULONG bn_mul_words(BN_ULONG *rp, const BN_ULONG *ap, int num, BN_ULONG w)
146
483M
{
147
483M
    BN_ULONG c1 = 0;
148
149
483M
    if (num <= 0)
150
0
        return c1;
151
152
7.20G
    while (num & ~3) {
153
6.71G
        mul(rp[0], ap[0], w, c1);
154
6.71G
        mul(rp[1], ap[1], w, c1);
155
6.71G
        mul(rp[2], ap[2], w, c1);
156
6.71G
        mul(rp[3], ap[3], w, c1);
157
6.71G
        ap += 4;
158
6.71G
        rp += 4;
159
6.71G
        num -= 4;
160
6.71G
    }
161
483M
    if (num) {
162
68.5M
        mul(rp[0], ap[0], w, c1);
163
68.5M
        if (--num == 0)
164
31.3M
            return c1;
165
37.2M
        mul(rp[1], ap[1], w, c1);
166
37.2M
        if (--num == 0)
167
19.9M
            return c1;
168
17.3M
        mul(rp[2], ap[2], w, c1);
169
17.3M
    }
170
432M
    return c1;
171
483M
}
172
173
void bn_sqr_words(BN_ULONG *r, const BN_ULONG *a, int n)
174
5.14M
{
175
5.14M
    if (n <= 0)
176
0
        return;
177
178
25.9M
    while (n & ~3) {
179
20.8M
        sqr(r[0], r[1], a[0]);
180
20.8M
        sqr(r[2], r[3], a[1]);
181
20.8M
        sqr(r[4], r[5], a[2]);
182
20.8M
        sqr(r[6], r[7], a[3]);
183
20.8M
        a += 4;
184
20.8M
        r += 8;
185
20.8M
        n -= 4;
186
20.8M
    }
187
5.14M
    if (n) {
188
4.96M
        sqr(r[0], r[1], a[0]);
189
4.96M
        if (--n == 0)
190
4.27M
            return;
191
690k
        sqr(r[2], r[3], a[1]);
192
690k
        if (--n == 0)
193
334k
            return;
194
356k
        sqr(r[4], r[5], a[2]);
195
356k
    }
196
5.14M
}
197
198
BN_ULONG bn_div_words(BN_ULONG h, BN_ULONG l, BN_ULONG d)
199
447M
{
200
447M
    BN_ULONG ret, waste;
201
202
447M
    asm("divq      %4" : "=a"(ret), "=d"(waste)
203
447M
        : "a"(l), "d"(h), "r"(d)
204
447M
        : "cc");
205
206
447M
    return ret;
207
447M
}
208
209
BN_ULONG bn_add_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
210
    int n)
211
758M
{
212
758M
    BN_ULONG ret;
213
758M
    size_t i = 0;
214
215
758M
    if (n <= 0)
216
8.77M
        return 0;
217
218
749M
    asm volatile("       subq    %0,%0           \n" /* clear carry */
219
749M
                 "       jmp     1f              \n"
220
749M
                 ".p2align 4                     \n"
221
749M
                 "1:     movq    (%4,%2,8),%0    \n"
222
749M
                 "       adcq    (%5,%2,8),%0    \n"
223
749M
                 "       movq    %0,(%3,%2,8)    \n"
224
749M
                 "       lea     1(%2),%2        \n"
225
749M
                 "       dec     %1              \n"
226
749M
                 "       jnz     1b              \n"
227
749M
                 "       sbbq    %0,%0           \n"
228
749M
        : "=&r"(ret), "+c"(n), "+r"(i)
229
749M
        : "r"(rp), "r"(ap), "r"(bp)
230
749M
        : "cc", "memory");
231
232
749M
    return ret & 1;
233
758M
}
234
235
#ifndef SIMICS
236
BN_ULONG bn_sub_words(BN_ULONG *rp, const BN_ULONG *ap, const BN_ULONG *bp,
237
    int n)
238
754M
{
239
754M
    BN_ULONG ret;
240
754M
    size_t i = 0;
241
242
754M
    if (n <= 0)
243
8.29M
        return 0;
244
245
745M
    asm volatile("       subq    %0,%0           \n" /* clear borrow */
246
745M
                 "       jmp     1f              \n"
247
745M
                 ".p2align 4                     \n"
248
745M
                 "1:     movq    (%4,%2,8),%0    \n"
249
745M
                 "       sbbq    (%5,%2,8),%0    \n"
250
745M
                 "       movq    %0,(%3,%2,8)    \n"
251
745M
                 "       lea     1(%2),%2        \n"
252
745M
                 "       dec     %1              \n"
253
745M
                 "       jnz     1b              \n"
254
745M
                 "       sbbq    %0,%0           \n"
255
745M
        : "=&r"(ret), "+c"(n), "+r"(i)
256
745M
        : "r"(rp), "r"(ap), "r"(bp)
257
745M
        : "cc", "memory");
258
259
745M
    return ret & 1;
260
754M
}
261
#else
262
/* Simics 1.4<7 has buggy sbbq:-( */
263
#define BN_MASK2 0xffffffffffffffffL
264
BN_ULONG bn_sub_words(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b, int n)
265
{
266
    BN_ULONG t1, t2;
267
    int c = 0;
268
269
    if (n <= 0)
270
        return (BN_ULONG)0;
271
272
    for (;;) {
273
        t1 = a[0];
274
        t2 = b[0];
275
        r[0] = (t1 - t2 - c) & BN_MASK2;
276
        if (t1 != t2)
277
            c = (t1 < t2);
278
        if (--n <= 0)
279
            break;
280
281
        t1 = a[1];
282
        t2 = b[1];
283
        r[1] = (t1 - t2 - c) & BN_MASK2;
284
        if (t1 != t2)
285
            c = (t1 < t2);
286
        if (--n <= 0)
287
            break;
288
289
        t1 = a[2];
290
        t2 = b[2];
291
        r[2] = (t1 - t2 - c) & BN_MASK2;
292
        if (t1 != t2)
293
            c = (t1 < t2);
294
        if (--n <= 0)
295
            break;
296
297
        t1 = a[3];
298
        t2 = b[3];
299
        r[3] = (t1 - t2 - c) & BN_MASK2;
300
        if (t1 != t2)
301
            c = (t1 < t2);
302
        if (--n <= 0)
303
            break;
304
305
        a += 4;
306
        b += 4;
307
        r += 4;
308
    }
309
    return c;
310
}
311
#endif
312
313
/* mul_add_c(a,b,c0,c1,c2)  -- c+=a*b for three word number c=(c2,c1,c0) */
314
/* mul_add_c2(a,b,c0,c1,c2) -- c+=2*a*b for three word number c=(c2,c1,c0) */
315
/* sqr_add_c(a,i,c0,c1,c2)  -- c+=a[i]^2 for three word number c=(c2,c1,c0) */
316
/*
317
 * sqr_add_c2(a,i,c0,c1,c2) -- c+=2*a[i]*a[j] for three word number
318
 * c=(c2,c1,c0)
319
 */
320
321
/*
322
 * Keep in mind that carrying into high part of multiplication result
323
 * can not overflow, because it cannot be all-ones.
324
 */
325
#if 0
326
/* original macros are kept for reference purposes */
327
#define mul_add_c(a, b, c0, c1, c2)    \
328
    do {                               \
329
        BN_ULONG ta = (a), tb = (b);   \
330
        BN_ULONG lo, hi;               \
331
        BN_UMULT_LOHI(lo, hi, ta, tb); \
332
        c0 += lo;                      \
333
        hi += (c0 < lo) ? 1 : 0;       \
334
        c1 += hi;                      \
335
        c2 += (c1 < hi) ? 1 : 0;       \
336
    } while (0)
337
338
#define mul_add_c2(a, b, c0, c1, c2)   \
339
    do {                               \
340
        BN_ULONG ta = (a), tb = (b);   \
341
        BN_ULONG lo, hi, tt;           \
342
        BN_UMULT_LOHI(lo, hi, ta, tb); \
343
        c0 += lo;                      \
344
        tt = hi + ((c0 < lo) ? 1 : 0); \
345
        c1 += tt;                      \
346
        c2 += (c1 < tt) ? 1 : 0;       \
347
        c0 += lo;                      \
348
        hi += (c0 < lo) ? 1 : 0;       \
349
        c1 += hi;                      \
350
        c2 += (c1 < hi) ? 1 : 0;       \
351
    } while (0)
352
353
#define sqr_add_c(a, i, c0, c1, c2)    \
354
    do {                               \
355
        BN_ULONG ta = (a)[i];          \
356
        BN_ULONG lo, hi;               \
357
        BN_UMULT_LOHI(lo, hi, ta, ta); \
358
        c0 += lo;                      \
359
        hi += (c0 < lo) ? 1 : 0;       \
360
        c1 += hi;                      \
361
        c2 += (c1 < hi) ? 1 : 0;       \
362
    } while (0)
363
#else
364
#define mul_add_c(a, b, c0, c1, c2)              \
365
7.51G
    do {                                         \
366
7.51G
        BN_ULONG t1, t2;                         \
367
7.51G
        asm("mulq %3"                            \
368
7.51G
            : "=a"(t1), "=d"(t2)                 \
369
7.51G
            : "a"(a), "m"(b)                     \
370
7.51G
            : "cc");                             \
371
7.51G
        asm("addq %3,%0; adcq %4,%1; adcq %5,%2" \
372
7.51G
            : "+r"(c0), "+r"(c1), "+r"(c2)       \
373
7.51G
            : "r"(t1), "r"(t2), "g"(0)           \
374
7.51G
            : "cc");                             \
375
7.51G
    } while (0)
376
377
#define sqr_add_c(a, i, c0, c1, c2)              \
378
467M
    do {                                         \
379
467M
        BN_ULONG t1, t2;                         \
380
467M
        asm("mulq %2"                            \
381
467M
            : "=a"(t1), "=d"(t2)                 \
382
467M
            : "a"(a[i])                          \
383
467M
            : "cc");                             \
384
467M
        asm("addq %3,%0; adcq %4,%1; adcq %5,%2" \
385
467M
            : "+r"(c0), "+r"(c1), "+r"(c2)       \
386
467M
            : "r"(t1), "r"(t2), "g"(0)           \
387
467M
            : "cc");                             \
388
467M
    } while (0)
389
390
#define mul_add_c2(a, b, c0, c1, c2)             \
391
915M
    do {                                         \
392
915M
        BN_ULONG t1, t2;                         \
393
915M
        asm("mulq %3"                            \
394
915M
            : "=a"(t1), "=d"(t2)                 \
395
915M
            : "a"(a), "m"(b)                     \
396
915M
            : "cc");                             \
397
915M
        asm("addq %3,%0; adcq %4,%1; adcq %5,%2" \
398
915M
            : "+r"(c0), "+r"(c1), "+r"(c2)       \
399
915M
            : "r"(t1), "r"(t2), "g"(0)           \
400
915M
            : "cc");                             \
401
915M
        asm("addq %3,%0; adcq %4,%1; adcq %5,%2" \
402
915M
            : "+r"(c0), "+r"(c1), "+r"(c2)       \
403
915M
            : "r"(t1), "r"(t2), "g"(0)           \
404
915M
            : "cc");                             \
405
915M
    } while (0)
406
#endif
407
408
#define sqr_add_c2(a, i, j, c0, c1, c2) \
409
915M
    mul_add_c2((a)[i], (a)[j], c0, c1, c2)
410
411
void bn_mul_comba8(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
412
117M
{
413
117M
    BN_ULONG c1, c2, c3;
414
415
117M
    c1 = 0;
416
117M
    c2 = 0;
417
117M
    c3 = 0;
418
117M
    mul_add_c(a[0], b[0], c1, c2, c3);
419
117M
    r[0] = c1;
420
117M
    c1 = 0;
421
117M
    mul_add_c(a[0], b[1], c2, c3, c1);
422
117M
    mul_add_c(a[1], b[0], c2, c3, c1);
423
117M
    r[1] = c2;
424
117M
    c2 = 0;
425
117M
    mul_add_c(a[2], b[0], c3, c1, c2);
426
117M
    mul_add_c(a[1], b[1], c3, c1, c2);
427
117M
    mul_add_c(a[0], b[2], c3, c1, c2);
428
117M
    r[2] = c3;
429
117M
    c3 = 0;
430
117M
    mul_add_c(a[0], b[3], c1, c2, c3);
431
117M
    mul_add_c(a[1], b[2], c1, c2, c3);
432
117M
    mul_add_c(a[2], b[1], c1, c2, c3);
433
117M
    mul_add_c(a[3], b[0], c1, c2, c3);
434
117M
    r[3] = c1;
435
117M
    c1 = 0;
436
117M
    mul_add_c(a[4], b[0], c2, c3, c1);
437
117M
    mul_add_c(a[3], b[1], c2, c3, c1);
438
117M
    mul_add_c(a[2], b[2], c2, c3, c1);
439
117M
    mul_add_c(a[1], b[3], c2, c3, c1);
440
117M
    mul_add_c(a[0], b[4], c2, c3, c1);
441
117M
    r[4] = c2;
442
117M
    c2 = 0;
443
117M
    mul_add_c(a[0], b[5], c3, c1, c2);
444
117M
    mul_add_c(a[1], b[4], c3, c1, c2);
445
117M
    mul_add_c(a[2], b[3], c3, c1, c2);
446
117M
    mul_add_c(a[3], b[2], c3, c1, c2);
447
117M
    mul_add_c(a[4], b[1], c3, c1, c2);
448
117M
    mul_add_c(a[5], b[0], c3, c1, c2);
449
117M
    r[5] = c3;
450
117M
    c3 = 0;
451
117M
    mul_add_c(a[6], b[0], c1, c2, c3);
452
117M
    mul_add_c(a[5], b[1], c1, c2, c3);
453
117M
    mul_add_c(a[4], b[2], c1, c2, c3);
454
117M
    mul_add_c(a[3], b[3], c1, c2, c3);
455
117M
    mul_add_c(a[2], b[4], c1, c2, c3);
456
117M
    mul_add_c(a[1], b[5], c1, c2, c3);
457
117M
    mul_add_c(a[0], b[6], c1, c2, c3);
458
117M
    r[6] = c1;
459
117M
    c1 = 0;
460
117M
    mul_add_c(a[0], b[7], c2, c3, c1);
461
117M
    mul_add_c(a[1], b[6], c2, c3, c1);
462
117M
    mul_add_c(a[2], b[5], c2, c3, c1);
463
117M
    mul_add_c(a[3], b[4], c2, c3, c1);
464
117M
    mul_add_c(a[4], b[3], c2, c3, c1);
465
117M
    mul_add_c(a[5], b[2], c2, c3, c1);
466
117M
    mul_add_c(a[6], b[1], c2, c3, c1);
467
117M
    mul_add_c(a[7], b[0], c2, c3, c1);
468
117M
    r[7] = c2;
469
117M
    c2 = 0;
470
117M
    mul_add_c(a[7], b[1], c3, c1, c2);
471
117M
    mul_add_c(a[6], b[2], c3, c1, c2);
472
117M
    mul_add_c(a[5], b[3], c3, c1, c2);
473
117M
    mul_add_c(a[4], b[4], c3, c1, c2);
474
117M
    mul_add_c(a[3], b[5], c3, c1, c2);
475
117M
    mul_add_c(a[2], b[6], c3, c1, c2);
476
117M
    mul_add_c(a[1], b[7], c3, c1, c2);
477
117M
    r[8] = c3;
478
117M
    c3 = 0;
479
117M
    mul_add_c(a[2], b[7], c1, c2, c3);
480
117M
    mul_add_c(a[3], b[6], c1, c2, c3);
481
117M
    mul_add_c(a[4], b[5], c1, c2, c3);
482
117M
    mul_add_c(a[5], b[4], c1, c2, c3);
483
117M
    mul_add_c(a[6], b[3], c1, c2, c3);
484
117M
    mul_add_c(a[7], b[2], c1, c2, c3);
485
117M
    r[9] = c1;
486
117M
    c1 = 0;
487
117M
    mul_add_c(a[7], b[3], c2, c3, c1);
488
117M
    mul_add_c(a[6], b[4], c2, c3, c1);
489
117M
    mul_add_c(a[5], b[5], c2, c3, c1);
490
117M
    mul_add_c(a[4], b[6], c2, c3, c1);
491
117M
    mul_add_c(a[3], b[7], c2, c3, c1);
492
117M
    r[10] = c2;
493
117M
    c2 = 0;
494
117M
    mul_add_c(a[4], b[7], c3, c1, c2);
495
117M
    mul_add_c(a[5], b[6], c3, c1, c2);
496
117M
    mul_add_c(a[6], b[5], c3, c1, c2);
497
117M
    mul_add_c(a[7], b[4], c3, c1, c2);
498
117M
    r[11] = c3;
499
117M
    c3 = 0;
500
117M
    mul_add_c(a[7], b[5], c1, c2, c3);
501
117M
    mul_add_c(a[6], b[6], c1, c2, c3);
502
117M
    mul_add_c(a[5], b[7], c1, c2, c3);
503
117M
    r[12] = c1;
504
117M
    c1 = 0;
505
117M
    mul_add_c(a[6], b[7], c2, c3, c1);
506
117M
    mul_add_c(a[7], b[6], c2, c3, c1);
507
117M
    r[13] = c2;
508
117M
    c2 = 0;
509
117M
    mul_add_c(a[7], b[7], c3, c1, c2);
510
117M
    r[14] = c3;
511
117M
    r[15] = c1;
512
117M
}
513
514
void bn_mul_comba4(BN_ULONG *r, BN_ULONG *a, BN_ULONG *b)
515
0
{
516
0
    BN_ULONG c1, c2, c3;
517
518
0
    c1 = 0;
519
0
    c2 = 0;
520
0
    c3 = 0;
521
0
    mul_add_c(a[0], b[0], c1, c2, c3);
522
0
    r[0] = c1;
523
0
    c1 = 0;
524
0
    mul_add_c(a[0], b[1], c2, c3, c1);
525
0
    mul_add_c(a[1], b[0], c2, c3, c1);
526
0
    r[1] = c2;
527
0
    c2 = 0;
528
0
    mul_add_c(a[2], b[0], c3, c1, c2);
529
0
    mul_add_c(a[1], b[1], c3, c1, c2);
530
0
    mul_add_c(a[0], b[2], c3, c1, c2);
531
0
    r[2] = c3;
532
0
    c3 = 0;
533
0
    mul_add_c(a[0], b[3], c1, c2, c3);
534
0
    mul_add_c(a[1], b[2], c1, c2, c3);
535
0
    mul_add_c(a[2], b[1], c1, c2, c3);
536
0
    mul_add_c(a[3], b[0], c1, c2, c3);
537
0
    r[3] = c1;
538
0
    c1 = 0;
539
0
    mul_add_c(a[3], b[1], c2, c3, c1);
540
0
    mul_add_c(a[2], b[2], c2, c3, c1);
541
0
    mul_add_c(a[1], b[3], c2, c3, c1);
542
0
    r[4] = c2;
543
0
    c2 = 0;
544
0
    mul_add_c(a[2], b[3], c3, c1, c2);
545
0
    mul_add_c(a[3], b[2], c3, c1, c2);
546
0
    r[5] = c3;
547
0
    c3 = 0;
548
0
    mul_add_c(a[3], b[3], c1, c2, c3);
549
0
    r[6] = c1;
550
0
    r[7] = c2;
551
0
}
552
553
void bn_sqr_comba8(BN_ULONG *r, const BN_ULONG *a)
554
13.3M
{
555
13.3M
    BN_ULONG c1, c2, c3;
556
557
13.3M
    c1 = 0;
558
13.3M
    c2 = 0;
559
13.3M
    c3 = 0;
560
13.3M
    sqr_add_c(a, 0, c1, c2, c3);
561
13.3M
    r[0] = c1;
562
13.3M
    c1 = 0;
563
13.3M
    sqr_add_c2(a, 1, 0, c2, c3, c1);
564
13.3M
    r[1] = c2;
565
13.3M
    c2 = 0;
566
13.3M
    sqr_add_c(a, 1, c3, c1, c2);
567
13.3M
    sqr_add_c2(a, 2, 0, c3, c1, c2);
568
13.3M
    r[2] = c3;
569
13.3M
    c3 = 0;
570
13.3M
    sqr_add_c2(a, 3, 0, c1, c2, c3);
571
13.3M
    sqr_add_c2(a, 2, 1, c1, c2, c3);
572
13.3M
    r[3] = c1;
573
13.3M
    c1 = 0;
574
13.3M
    sqr_add_c(a, 2, c2, c3, c1);
575
13.3M
    sqr_add_c2(a, 3, 1, c2, c3, c1);
576
13.3M
    sqr_add_c2(a, 4, 0, c2, c3, c1);
577
13.3M
    r[4] = c2;
578
13.3M
    c2 = 0;
579
13.3M
    sqr_add_c2(a, 5, 0, c3, c1, c2);
580
13.3M
    sqr_add_c2(a, 4, 1, c3, c1, c2);
581
13.3M
    sqr_add_c2(a, 3, 2, c3, c1, c2);
582
13.3M
    r[5] = c3;
583
13.3M
    c3 = 0;
584
13.3M
    sqr_add_c(a, 3, c1, c2, c3);
585
13.3M
    sqr_add_c2(a, 4, 2, c1, c2, c3);
586
13.3M
    sqr_add_c2(a, 5, 1, c1, c2, c3);
587
13.3M
    sqr_add_c2(a, 6, 0, c1, c2, c3);
588
13.3M
    r[6] = c1;
589
13.3M
    c1 = 0;
590
13.3M
    sqr_add_c2(a, 7, 0, c2, c3, c1);
591
13.3M
    sqr_add_c2(a, 6, 1, c2, c3, c1);
592
13.3M
    sqr_add_c2(a, 5, 2, c2, c3, c1);
593
13.3M
    sqr_add_c2(a, 4, 3, c2, c3, c1);
594
13.3M
    r[7] = c2;
595
13.3M
    c2 = 0;
596
13.3M
    sqr_add_c(a, 4, c3, c1, c2);
597
13.3M
    sqr_add_c2(a, 5, 3, c3, c1, c2);
598
13.3M
    sqr_add_c2(a, 6, 2, c3, c1, c2);
599
13.3M
    sqr_add_c2(a, 7, 1, c3, c1, c2);
600
13.3M
    r[8] = c3;
601
13.3M
    c3 = 0;
602
13.3M
    sqr_add_c2(a, 7, 2, c1, c2, c3);
603
13.3M
    sqr_add_c2(a, 6, 3, c1, c2, c3);
604
13.3M
    sqr_add_c2(a, 5, 4, c1, c2, c3);
605
13.3M
    r[9] = c1;
606
13.3M
    c1 = 0;
607
13.3M
    sqr_add_c(a, 5, c2, c3, c1);
608
13.3M
    sqr_add_c2(a, 6, 4, c2, c3, c1);
609
13.3M
    sqr_add_c2(a, 7, 3, c2, c3, c1);
610
13.3M
    r[10] = c2;
611
13.3M
    c2 = 0;
612
13.3M
    sqr_add_c2(a, 7, 4, c3, c1, c2);
613
13.3M
    sqr_add_c2(a, 6, 5, c3, c1, c2);
614
13.3M
    r[11] = c3;
615
13.3M
    c3 = 0;
616
13.3M
    sqr_add_c(a, 6, c1, c2, c3);
617
13.3M
    sqr_add_c2(a, 7, 5, c1, c2, c3);
618
13.3M
    r[12] = c1;
619
13.3M
    c1 = 0;
620
13.3M
    sqr_add_c2(a, 7, 6, c2, c3, c1);
621
13.3M
    r[13] = c2;
622
13.3M
    c2 = 0;
623
13.3M
    sqr_add_c(a, 7, c3, c1, c2);
624
13.3M
    r[14] = c3;
625
13.3M
    r[15] = c1;
626
13.3M
}
627
628
void bn_sqr_comba4(BN_ULONG *r, const BN_ULONG *a)
629
90.0M
{
630
90.0M
    BN_ULONG c1, c2, c3;
631
632
90.0M
    c1 = 0;
633
90.0M
    c2 = 0;
634
90.0M
    c3 = 0;
635
90.0M
    sqr_add_c(a, 0, c1, c2, c3);
636
90.0M
    r[0] = c1;
637
90.0M
    c1 = 0;
638
90.0M
    sqr_add_c2(a, 1, 0, c2, c3, c1);
639
90.0M
    r[1] = c2;
640
90.0M
    c2 = 0;
641
90.0M
    sqr_add_c(a, 1, c3, c1, c2);
642
90.0M
    sqr_add_c2(a, 2, 0, c3, c1, c2);
643
90.0M
    r[2] = c3;
644
90.0M
    c3 = 0;
645
90.0M
    sqr_add_c2(a, 3, 0, c1, c2, c3);
646
90.0M
    sqr_add_c2(a, 2, 1, c1, c2, c3);
647
90.0M
    r[3] = c1;
648
90.0M
    c1 = 0;
649
90.0M
    sqr_add_c(a, 2, c2, c3, c1);
650
90.0M
    sqr_add_c2(a, 3, 1, c2, c3, c1);
651
90.0M
    r[4] = c2;
652
90.0M
    c2 = 0;
653
90.0M
    sqr_add_c2(a, 3, 2, c3, c1, c2);
654
90.0M
    r[5] = c3;
655
90.0M
    c3 = 0;
656
90.0M
    sqr_add_c(a, 3, c1, c2, c3);
657
90.0M
    r[6] = c1;
658
90.0M
    r[7] = c2;
659
90.0M
}
660
#endif