1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
|
/* SPDX-License-Identifier: GPL-2.0
*
* Copyright (C) 2016-2017 INRIA and Microsoft Corporation.
* Copyright (C) 2018 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved.
*
* This is a machine-generated formally verified implementation of curve25519 DH from:
* https://github.com/mitls/hacl-star
*/
typedef __uint128_t u128;
static __always_inline u64 u64_eq_mask(u64 x, u64 y)
{
x ^= y;
x |= -x;
return (x >> 63) - 1;
}
static __always_inline u64 u64_gte_mask(u64 x, u64 y)
{
u64 low63 = ~((u64)((s64)((s64)(x & 0x7fffffffffffffffLLU) - (s64)(y & 0x7fffffffffffffffLLU)) >> 63));
u64 high_bit = ~((u64)((s64)((s64)(x & 0x8000000000000000LLU) - (s64)(y & 0x8000000000000000LLU)) >> 63));
return low63 & high_bit;
}
static __always_inline void modulo_carry_top(u64 *b)
{
u64 b4 = b[4];
u64 b0 = b[0];
u64 b4_ = b4 & 0x7ffffffffffffLLU;
u64 b0_ = b0 + 19 * (b4 >> 51);
b[4] = b4_;
b[0] = b0_;
}
static __always_inline void fproduct_copy_from_wide_(u64 *output, u128 *input)
{
{
u128 xi = input[0];
output[0] = ((u64)(xi));
}
{
u128 xi = input[1];
output[1] = ((u64)(xi));
}
{
u128 xi = input[2];
output[2] = ((u64)(xi));
}
{
u128 xi = input[3];
output[3] = ((u64)(xi));
}
{
u128 xi = input[4];
output[4] = ((u64)(xi));
}
}
static __always_inline void fproduct_sum_scalar_multiplication_(u128 *output, u64 *input, u64 s)
{
output[0] += (u128)input[0] * s;
output[1] += (u128)input[1] * s;
output[2] += (u128)input[2] * s;
output[3] += (u128)input[3] * s;
output[4] += (u128)input[4] * s;
}
static __always_inline void fproduct_carry_wide_(u128 *tmp)
{
{
u32 ctr = 0;
u128 tctr = tmp[ctr];
u128 tctrp1 = tmp[ctr + 1];
u64 r0 = ((u64)(tctr)) & 0x7ffffffffffffLLU;
u128 c = ((tctr) >> (51));
tmp[ctr] = ((u128)(r0));
tmp[ctr + 1] = ((tctrp1) + (c));
}
{
u32 ctr = 1;
u128 tctr = tmp[ctr];
u128 tctrp1 = tmp[ctr + 1];
u64 r0 = ((u64)(tctr)) & 0x7ffffffffffffLLU;
u128 c = ((tctr) >> (51));
tmp[ctr] = ((u128)(r0));
tmp[ctr + 1] = ((tctrp1) + (c));
}
{
u32 ctr = 2;
u128 tctr = tmp[ctr];
u128 tctrp1 = tmp[ctr + 1];
u64 r0 = ((u64)(tctr)) & 0x7ffffffffffffLLU;
u128 c = ((tctr) >> (51));
tmp[ctr] = ((u128)(r0));
tmp[ctr + 1] = ((tctrp1) + (c));
}
{
u32 ctr = 3;
u128 tctr = tmp[ctr];
u128 tctrp1 = tmp[ctr + 1];
u64 r0 = ((u64)(tctr)) & 0x7ffffffffffffLLU;
u128 c = ((tctr) >> (51));
tmp[ctr] = ((u128)(r0));
tmp[ctr + 1] = ((tctrp1) + (c));
}
}
static __always_inline void fmul_shift_reduce(u64 *output)
{
u64 tmp = output[4];
u64 b0;
{
u32 ctr = 5 - 0 - 1;
u64 z = output[ctr - 1];
output[ctr] = z;
}
{
u32 ctr = 5 - 1 - 1;
u64 z = output[ctr - 1];
output[ctr] = z;
}
{
u32 ctr = 5 - 2 - 1;
u64 z = output[ctr - 1];
output[ctr] = z;
}
{
u32 ctr = 5 - 3 - 1;
u64 z = output[ctr - 1];
output[ctr] = z;
}
output[0] = tmp;
b0 = output[0];
output[0] = 19 * b0;
}
static __always_inline void fmul_mul_shift_reduce_(u128 *output, u64 *input, u64 *input21)
{
u32 i;
u64 input2i;
{
u64 input2i = input21[0];
fproduct_sum_scalar_multiplication_(output, input, input2i);
fmul_shift_reduce(input);
}
{
u64 input2i = input21[1];
fproduct_sum_scalar_multiplication_(output, input, input2i);
fmul_shift_reduce(input);
}
{
u64 input2i = input21[2];
fproduct_sum_scalar_multiplication_(output, input, input2i);
fmul_shift_reduce(input);
}
{
u64 input2i = input21[3];
fproduct_sum_scalar_multiplication_(output, input, input2i);
fmul_shift_reduce(input);
}
i = 4;
input2i = input21[i];
fproduct_sum_scalar_multiplication_(output, input, input2i);
}
static __always_inline void fmul_fmul(u64 *output, u64 *input, u64 *input21)
{
u64 tmp[5];
memcpy(tmp, input, 5 * sizeof(*input));
{
u128 b4;
u128 b0;
u128 b4_;
u128 b0_;
u64 i0;
u64 i1;
u64 i0_;
u64 i1_;
u128 t[5] = { 0 };
fmul_mul_shift_reduce_(t, tmp, input21);
fproduct_carry_wide_(t);
b4 = t[4];
b0 = t[0];
b4_ = ((b4) & (((u128)(0x7ffffffffffffLLU))));
b0_ = ((b0) + (((u128)(19) * (((u64)(((b4) >> (51))))))));
t[4] = b4_;
t[0] = b0_;
fproduct_copy_from_wide_(output, t);
i0 = output[0];
i1 = output[1];
i0_ = i0 & 0x7ffffffffffffLLU;
i1_ = i1 + (i0 >> 51);
output[0] = i0_;
output[1] = i1_;
}
}
static __always_inline void fsquare_fsquare__(u128 *tmp, u64 *output)
{
u64 r0 = output[0];
u64 r1 = output[1];
u64 r2 = output[2];
u64 r3 = output[3];
u64 r4 = output[4];
u64 d0 = r0 * 2;
u64 d1 = r1 * 2;
u64 d2 = r2 * 2 * 19;
u64 d419 = r4 * 19;
u64 d4 = d419 * 2;
u128 s0 = ((((((u128)(r0) * (r0))) + (((u128)(d4) * (r1))))) + (((u128)(d2) * (r3))));
u128 s1 = ((((((u128)(d0) * (r1))) + (((u128)(d4) * (r2))))) + (((u128)(r3 * 19) * (r3))));
u128 s2 = ((((((u128)(d0) * (r2))) + (((u128)(r1) * (r1))))) + (((u128)(d4) * (r3))));
u128 s3 = ((((((u128)(d0) * (r3))) + (((u128)(d1) * (r2))))) + (((u128)(r4) * (d419))));
u128 s4 = ((((((u128)(d0) * (r4))) + (((u128)(d1) * (r3))))) + (((u128)(r2) * (r2))));
tmp[0] = s0;
tmp[1] = s1;
tmp[2] = s2;
tmp[3] = s3;
tmp[4] = s4;
}
static __always_inline void fsquare_fsquare_(u128 *tmp, u64 *output)
{
u128 b4;
u128 b0;
u128 b4_;
u128 b0_;
u64 i0;
u64 i1;
u64 i0_;
u64 i1_;
fsquare_fsquare__(tmp, output);
fproduct_carry_wide_(tmp);
b4 = tmp[4];
b0 = tmp[0];
b4_ = ((b4) & (((u128)(0x7ffffffffffffLLU))));
b0_ = ((b0) + (((u128)(19) * (((u64)(((b4) >> (51))))))));
tmp[4] = b4_;
tmp[0] = b0_;
fproduct_copy_from_wide_(output, tmp);
i0 = output[0];
i1 = output[1];
i0_ = i0 & 0x7ffffffffffffLLU;
i1_ = i1 + (i0 >> 51);
output[0] = i0_;
output[1] = i1_;
}
static __always_inline void fsquare_fsquare_times_(u64 *output, u128 *tmp, u32 count1)
{
u32 i;
fsquare_fsquare_(tmp, output);
for (i = 1; i < count1; ++i)
fsquare_fsquare_(tmp, output);
}
static __always_inline void fsquare_fsquare_times(u64 *output, u64 *input, u32 count1)
{
u128 t[5];
memcpy(output, input, 5 * sizeof(*input));
fsquare_fsquare_times_(output, t, count1);
}
static __always_inline void fsquare_fsquare_times_inplace(u64 *output, u32 count1)
{
u128 t[5];
fsquare_fsquare_times_(output, t, count1);
}
static __always_inline void crecip_crecip(u64 *out, u64 *z)
{
u64 buf[20] = { 0 };
u64 *a0 = buf;
u64 *t00 = buf + 5;
u64 *b0 = buf + 10;
u64 *t01;
u64 *b1;
u64 *c0;
u64 *a;
u64 *t0;
u64 *b;
u64 *c;
fsquare_fsquare_times(a0, z, 1);
fsquare_fsquare_times(t00, a0, 2);
fmul_fmul(b0, t00, z);
fmul_fmul(a0, b0, a0);
fsquare_fsquare_times(t00, a0, 1);
fmul_fmul(b0, t00, b0);
fsquare_fsquare_times(t00, b0, 5);
t01 = buf + 5;
b1 = buf + 10;
c0 = buf + 15;
fmul_fmul(b1, t01, b1);
fsquare_fsquare_times(t01, b1, 10);
fmul_fmul(c0, t01, b1);
fsquare_fsquare_times(t01, c0, 20);
fmul_fmul(t01, t01, c0);
fsquare_fsquare_times_inplace(t01, 10);
fmul_fmul(b1, t01, b1);
fsquare_fsquare_times(t01, b1, 50);
a = buf;
t0 = buf + 5;
b = buf + 10;
c = buf + 15;
fmul_fmul(c, t0, b);
fsquare_fsquare_times(t0, c, 100);
fmul_fmul(t0, t0, c);
fsquare_fsquare_times_inplace(t0, 50);
fmul_fmul(t0, t0, b);
fsquare_fsquare_times_inplace(t0, 5);
fmul_fmul(out, t0, a);
}
static __always_inline void fsum(u64 *a, u64 *b)
{
a[0] += b[0];
a[1] += b[1];
a[2] += b[2];
a[3] += b[3];
a[4] += b[4];
}
static __always_inline void fdifference(u64 *a, u64 *b)
{
u64 tmp[5] = { 0 };
u64 b0;
u64 b1;
u64 b2;
u64 b3;
u64 b4;
memcpy(tmp, b, 5 * sizeof(*b));
b0 = tmp[0];
b1 = tmp[1];
b2 = tmp[2];
b3 = tmp[3];
b4 = tmp[4];
tmp[0] = b0 + 0x3fffffffffff68LLU;
tmp[1] = b1 + 0x3ffffffffffff8LLU;
tmp[2] = b2 + 0x3ffffffffffff8LLU;
tmp[3] = b3 + 0x3ffffffffffff8LLU;
tmp[4] = b4 + 0x3ffffffffffff8LLU;
{
u64 xi = a[0];
u64 yi = tmp[0];
a[0] = yi - xi;
}
{
u64 xi = a[1];
u64 yi = tmp[1];
a[1] = yi - xi;
}
{
u64 xi = a[2];
u64 yi = tmp[2];
a[2] = yi - xi;
}
{
u64 xi = a[3];
u64 yi = tmp[3];
a[3] = yi - xi;
}
{
u64 xi = a[4];
u64 yi = tmp[4];
a[4] = yi - xi;
}
}
static __always_inline void fscalar(u64 *output, u64 *b, u64 s)
{
u128 tmp[5];
u128 b4;
u128 b0;
u128 b4_;
u128 b0_;
{
u64 xi = b[0];
tmp[0] = ((u128)(xi) * (s));
}
{
u64 xi = b[1];
tmp[1] = ((u128)(xi) * (s));
}
{
u64 xi = b[2];
tmp[2] = ((u128)(xi) * (s));
}
{
u64 xi = b[3];
tmp[3] = ((u128)(xi) * (s));
}
{
u64 xi = b[4];
tmp[4] = ((u128)(xi) * (s));
}
fproduct_carry_wide_(tmp);
b4 = tmp[4];
b0 = tmp[0];
b4_ = ((b4) & (((u128)(0x7ffffffffffffLLU))));
b0_ = ((b0) + (((u128)(19) * (((u64)(((b4) >> (51))))))));
tmp[4] = b4_;
tmp[0] = b0_;
fproduct_copy_from_wide_(output, tmp);
}
static __always_inline void fmul(u64 *output, u64 *a, u64 *b)
{
fmul_fmul(output, a, b);
}
static __always_inline void crecip(u64 *output, u64 *input)
{
crecip_crecip(output, input);
}
static __always_inline void point_swap_conditional_step(u64 *a, u64 *b, u64 swap1, u32 ctr)
{
u32 i = ctr - 1;
u64 ai = a[i];
u64 bi = b[i];
u64 x = swap1 & (ai ^ bi);
u64 ai1 = ai ^ x;
u64 bi1 = bi ^ x;
a[i] = ai1;
b[i] = bi1;
}
static __always_inline void point_swap_conditional5(u64 *a, u64 *b, u64 swap1)
{
point_swap_conditional_step(a, b, swap1, 5);
point_swap_conditional_step(a, b, swap1, 4);
point_swap_conditional_step(a, b, swap1, 3);
point_swap_conditional_step(a, b, swap1, 2);
point_swap_conditional_step(a, b, swap1, 1);
}
static __always_inline void point_swap_conditional(u64 *a, u64 *b, u64 iswap)
{
u64 swap1 = 0 - iswap;
point_swap_conditional5(a, b, swap1);
point_swap_conditional5(a + 5, b + 5, swap1);
}
static __always_inline void point_copy(u64 *output, u64 *input)
{
memcpy(output, input, 5 * sizeof(*input));
memcpy(output + 5, input + 5, 5 * sizeof(*input));
}
static __always_inline void addanddouble_fmonty(u64 *pp, u64 *ppq, u64 *p, u64 *pq, u64 *qmqp)
{
u64 *qx = qmqp;
u64 *x2 = pp;
u64 *z2 = pp + 5;
u64 *x3 = ppq;
u64 *z3 = ppq + 5;
u64 *x = p;
u64 *z = p + 5;
u64 *xprime = pq;
u64 *zprime = pq + 5;
u64 buf[40] = { 0 };
u64 *origx = buf;
u64 *origxprime0 = buf + 5;
u64 *xxprime0;
u64 *zzprime0;
u64 *origxprime;
xxprime0 = buf + 25;
zzprime0 = buf + 30;
memcpy(origx, x, 5 * sizeof(*x));
fsum(x, z);
fdifference(z, origx);
memcpy(origxprime0, xprime, 5 * sizeof(*xprime));
fsum(xprime, zprime);
fdifference(zprime, origxprime0);
fmul(xxprime0, xprime, z);
fmul(zzprime0, x, zprime);
origxprime = buf + 5;
{
u64 *xx0;
u64 *zz0;
u64 *xxprime;
u64 *zzprime;
u64 *zzzprime;
xx0 = buf + 15;
zz0 = buf + 20;
xxprime = buf + 25;
zzprime = buf + 30;
zzzprime = buf + 35;
memcpy(origxprime, xxprime, 5 * sizeof(*xxprime));
fsum(xxprime, zzprime);
fdifference(zzprime, origxprime);
fsquare_fsquare_times(x3, xxprime, 1);
fsquare_fsquare_times(zzzprime, zzprime, 1);
fmul(z3, zzzprime, qx);
fsquare_fsquare_times(xx0, x, 1);
fsquare_fsquare_times(zz0, z, 1);
{
u64 *zzz;
u64 *xx;
u64 *zz;
u64 scalar;
zzz = buf + 10;
xx = buf + 15;
zz = buf + 20;
fmul(x2, xx, zz);
fdifference(zz, xx);
scalar = 121665;
fscalar(zzz, zz, scalar);
fsum(zzz, xx);
fmul(z2, zzz, zz);
}
}
}
static __always_inline void ladder_smallloop_cmult_small_loop_step(u64 *nq, u64 *nqpq, u64 *nq2, u64 *nqpq2, u64 *q, u8 byt)
{
u64 bit0 = (u64)(byt >> 7);
u64 bit;
point_swap_conditional(nq, nqpq, bit0);
addanddouble_fmonty(nq2, nqpq2, nq, nqpq, q);
bit = (u64)(byt >> 7);
point_swap_conditional(nq2, nqpq2, bit);
}
static __always_inline void ladder_smallloop_cmult_small_loop_double_step(u64 *nq, u64 *nqpq, u64 *nq2, u64 *nqpq2, u64 *q, u8 byt)
{
u8 byt1;
ladder_smallloop_cmult_small_loop_step(nq, nqpq, nq2, nqpq2, q, byt);
byt1 = byt << 1;
ladder_smallloop_cmult_small_loop_step(nq2, nqpq2, nq, nqpq, q, byt1);
}
static __always_inline void ladder_smallloop_cmult_small_loop(u64 *nq, u64 *nqpq, u64 *nq2, u64 *nqpq2, u64 *q, u8 byt, u32 i)
{
while (i--) {
ladder_smallloop_cmult_small_loop_double_step(nq, nqpq, nq2, nqpq2, q, byt);
byt <<= 2;
}
}
static __always_inline void ladder_bigloop_cmult_big_loop(u8 *n1, u64 *nq, u64 *nqpq, u64 *nq2, u64 *nqpq2, u64 *q, u32 i)
{
while (i--) {
u8 byte = n1[i];
ladder_smallloop_cmult_small_loop(nq, nqpq, nq2, nqpq2, q, byte, 4);
}
}
static __always_inline void ladder_cmult(u64 *result, u8 *n1, u64 *q)
{
u64 point_buf[40] = { 0 };
u64 *nq = point_buf;
u64 *nqpq = point_buf + 10;
u64 *nq2 = point_buf + 20;
u64 *nqpq2 = point_buf + 30;
point_copy(nqpq, q);
nq[0] = 1;
ladder_bigloop_cmult_big_loop(n1, nq, nqpq, nq2, nqpq2, q, 32);
point_copy(result, nq);
}
static __always_inline void format_fexpand(u64 *output, const u8 *input)
{
const u8 *x00 = input + 6;
const u8 *x01 = input + 12;
const u8 *x02 = input + 19;
const u8 *x0 = input + 24;
u64 i0, i1, i2, i3, i4, output0, output1, output2, output3, output4;
i0 = le64_to_cpup((__force __le64 *)input);
i1 = le64_to_cpup((__force __le64 *)x00);
i2 = le64_to_cpup((__force __le64 *)x01);
i3 = le64_to_cpup((__force __le64 *)x02);
i4 = le64_to_cpup((__force __le64 *)x0);
output0 = i0 & 0x7ffffffffffffLLU;
output1 = i1 >> 3 & 0x7ffffffffffffLLU;
output2 = i2 >> 6 & 0x7ffffffffffffLLU;
output3 = i3 >> 1 & 0x7ffffffffffffLLU;
output4 = i4 >> 12 & 0x7ffffffffffffLLU;
output[0] = output0;
output[1] = output1;
output[2] = output2;
output[3] = output3;
output[4] = output4;
}
static __always_inline void format_fcontract_first_carry_pass(u64 *input)
{
u64 t0 = input[0];
u64 t1 = input[1];
u64 t2 = input[2];
u64 t3 = input[3];
u64 t4 = input[4];
u64 t1_ = t1 + (t0 >> 51);
u64 t0_ = t0 & 0x7ffffffffffffLLU;
u64 t2_ = t2 + (t1_ >> 51);
u64 t1__ = t1_ & 0x7ffffffffffffLLU;
u64 t3_ = t3 + (t2_ >> 51);
u64 t2__ = t2_ & 0x7ffffffffffffLLU;
u64 t4_ = t4 + (t3_ >> 51);
u64 t3__ = t3_ & 0x7ffffffffffffLLU;
input[0] = t0_;
input[1] = t1__;
input[2] = t2__;
input[3] = t3__;
input[4] = t4_;
}
static __always_inline void format_fcontract_first_carry_full(u64 *input)
{
format_fcontract_first_carry_pass(input);
modulo_carry_top(input);
}
static __always_inline void format_fcontract_second_carry_pass(u64 *input)
{
u64 t0 = input[0];
u64 t1 = input[1];
u64 t2 = input[2];
u64 t3 = input[3];
u64 t4 = input[4];
u64 t1_ = t1 + (t0 >> 51);
u64 t0_ = t0 & 0x7ffffffffffffLLU;
u64 t2_ = t2 + (t1_ >> 51);
u64 t1__ = t1_ & 0x7ffffffffffffLLU;
u64 t3_ = t3 + (t2_ >> 51);
u64 t2__ = t2_ & 0x7ffffffffffffLLU;
u64 t4_ = t4 + (t3_ >> 51);
u64 t3__ = t3_ & 0x7ffffffffffffLLU;
input[0] = t0_;
input[1] = t1__;
input[2] = t2__;
input[3] = t3__;
input[4] = t4_;
}
static __always_inline void format_fcontract_second_carry_full(u64 *input)
{
u64 i0;
u64 i1;
u64 i0_;
u64 i1_;
format_fcontract_second_carry_pass(input);
modulo_carry_top(input);
i0 = input[0];
i1 = input[1];
i0_ = i0 & 0x7ffffffffffffLLU;
i1_ = i1 + (i0 >> 51);
input[0] = i0_;
input[1] = i1_;
}
static __always_inline void format_fcontract_trim(u64 *input)
{
u64 a0 = input[0];
u64 a1 = input[1];
u64 a2 = input[2];
u64 a3 = input[3];
u64 a4 = input[4];
u64 mask0 = u64_gte_mask(a0, 0x7ffffffffffedLLU);
u64 mask1 = u64_eq_mask(a1, 0x7ffffffffffffLLU);
u64 mask2 = u64_eq_mask(a2, 0x7ffffffffffffLLU);
u64 mask3 = u64_eq_mask(a3, 0x7ffffffffffffLLU);
u64 mask4 = u64_eq_mask(a4, 0x7ffffffffffffLLU);
u64 mask = (((mask0 & mask1) & mask2) & mask3) & mask4;
u64 a0_ = a0 - (0x7ffffffffffedLLU & mask);
u64 a1_ = a1 - (0x7ffffffffffffLLU & mask);
u64 a2_ = a2 - (0x7ffffffffffffLLU & mask);
u64 a3_ = a3 - (0x7ffffffffffffLLU & mask);
u64 a4_ = a4 - (0x7ffffffffffffLLU & mask);
input[0] = a0_;
input[1] = a1_;
input[2] = a2_;
input[3] = a3_;
input[4] = a4_;
}
static __always_inline void format_fcontract_store(u8 *output, u64 *input)
{
u64 t0 = input[0];
u64 t1 = input[1];
u64 t2 = input[2];
u64 t3 = input[3];
u64 t4 = input[4];
u64 o0 = t1 << 51 | t0;
u64 o1 = t2 << 38 | t1 >> 13;
u64 o2 = t3 << 25 | t2 >> 26;
u64 o3 = t4 << 12 | t3 >> 39;
u8 *b0 = output;
u8 *b1 = output + 8;
u8 *b2 = output + 16;
u8 *b3 = output + 24;
*(__force __le64 *)b0 = cpu_to_le64(o0);
*(__force __le64 *)b1 = cpu_to_le64(o1);
*(__force __le64 *)b2 = cpu_to_le64(o2);
*(__force __le64 *)b3 = cpu_to_le64(o3);
}
static __always_inline void format_fcontract(u8 *output, u64 *input)
{
format_fcontract_first_carry_full(input);
format_fcontract_second_carry_full(input);
format_fcontract_trim(input);
format_fcontract_store(output, input);
}
static __always_inline void format_scalar_of_point(u8 *scalar, u64 *point)
{
u64 *x = point;
u64 *z = point + 5;
u64 buf[10] __aligned(32) = { 0 };
u64 *zmone = buf;
u64 *sc = buf + 5;
crecip(zmone, z);
fmul(sc, x, zmone);
format_fcontract(scalar, sc);
}
static void curve25519_generic(u8 mypublic[CURVE25519_POINT_SIZE], const u8 secret[CURVE25519_POINT_SIZE], const u8 basepoint[CURVE25519_POINT_SIZE])
{
u64 buf0[10] __aligned(32) = { 0 };
u64 *x0 = buf0;
u64 *z = buf0 + 5;
u64 *q;
format_fexpand(x0, basepoint);
z[0] = 1;
q = buf0;
{
u8 e[32] __aligned(32) = { 0 };
u8 *scalar;
memcpy(e, secret, 32);
normalize_secret(e);
scalar = e;
{
u64 buf[15] = { 0 };
u64 *nq = buf;
u64 *x = nq;
x[0] = 1;
ladder_cmult(nq, scalar, q);
format_scalar_of_point(mypublic, nq);
memzero_explicit(buf, sizeof(buf));
}
memzero_explicit(e, sizeof(e));
}
memzero_explicit(buf0, sizeof(buf0));
}
|