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
|
/* Copyright 2016-2017 INRIA and Microsoft Corporation
*
* Licensed under the Apache License, Version 2.0 (the "License");
* you may not use this file except in compliance with the License.
* You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software
* distributed under the License is distributed on an "AS IS" BASIS,
* WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
* See the License for the specific language governing permissions and
* limitations under the License.
*/
#include "Hacl_Poly1305_64.h"
inline static void
Hacl_Bignum_Modulo_reduce(uint64_t *b)
{
uint64_t b0 = b[0U];
b[0U] = (b0 << (uint32_t)4U) + (b0 << (uint32_t)2U);
}
inline static void
Hacl_Bignum_Modulo_carry_top(uint64_t *b)
{
uint64_t b2 = b[2U];
uint64_t b0 = b[0U];
uint64_t b2_42 = b2 >> (uint32_t)42U;
b[2U] = b2 & (uint64_t)0x3ffffffffffU;
b[0U] = (b2_42 << (uint32_t)2U) + b2_42 + b0;
}
inline static void
Hacl_Bignum_Modulo_carry_top_wide(FStar_UInt128_t *b)
{
FStar_UInt128_t b2 = b[2U];
FStar_UInt128_t b0 = b[0U];
FStar_UInt128_t
b2_ = FStar_UInt128_logand(b2, FStar_UInt128_uint64_to_uint128((uint64_t)0x3ffffffffffU));
uint64_t b2_42 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(b2, (uint32_t)42U));
FStar_UInt128_t
b0_ = FStar_UInt128_add(b0, FStar_UInt128_uint64_to_uint128((b2_42 << (uint32_t)2U) + b2_42));
b[2U] = b2_;
b[0U] = b0_;
}
inline static void
Hacl_Bignum_Fproduct_copy_from_wide_(uint64_t *output, FStar_UInt128_t *input)
{
for (uint32_t i = (uint32_t)0U; i < (uint32_t)3U; i = i + (uint32_t)1U) {
FStar_UInt128_t xi = input[i];
output[i] = FStar_UInt128_uint128_to_uint64(xi);
}
}
inline static void
Hacl_Bignum_Fproduct_sum_scalar_multiplication_(
FStar_UInt128_t *output,
uint64_t *input,
uint64_t s)
{
for (uint32_t i = (uint32_t)0U; i < (uint32_t)3U; i = i + (uint32_t)1U) {
FStar_UInt128_t xi = output[i];
uint64_t yi = input[i];
output[i] = FStar_UInt128_add_mod(xi, FStar_UInt128_mul_wide(yi, s));
}
}
inline static void
Hacl_Bignum_Fproduct_carry_wide_(FStar_UInt128_t *tmp)
{
for (uint32_t i = (uint32_t)0U; i < (uint32_t)2U; i = i + (uint32_t)1U) {
uint32_t ctr = i;
FStar_UInt128_t tctr = tmp[ctr];
FStar_UInt128_t tctrp1 = tmp[ctr + (uint32_t)1U];
uint64_t r0 = FStar_UInt128_uint128_to_uint64(tctr) & (uint64_t)0xfffffffffffU;
FStar_UInt128_t c = FStar_UInt128_shift_right(tctr, (uint32_t)44U);
tmp[ctr] = FStar_UInt128_uint64_to_uint128(r0);
tmp[ctr + (uint32_t)1U] = FStar_UInt128_add(tctrp1, c);
}
}
inline static void
Hacl_Bignum_Fproduct_carry_limb_(uint64_t *tmp)
{
for (uint32_t i = (uint32_t)0U; i < (uint32_t)2U; i = i + (uint32_t)1U) {
uint32_t ctr = i;
uint64_t tctr = tmp[ctr];
uint64_t tctrp1 = tmp[ctr + (uint32_t)1U];
uint64_t r0 = tctr & (uint64_t)0xfffffffffffU;
uint64_t c = tctr >> (uint32_t)44U;
tmp[ctr] = r0;
tmp[ctr + (uint32_t)1U] = tctrp1 + c;
}
}
inline static void
Hacl_Bignum_Fmul_shift_reduce(uint64_t *output)
{
uint64_t tmp = output[2U];
for (uint32_t i = (uint32_t)0U; i < (uint32_t)2U; i = i + (uint32_t)1U) {
uint32_t ctr = (uint32_t)3U - i - (uint32_t)1U;
uint64_t z = output[ctr - (uint32_t)1U];
output[ctr] = z;
}
output[0U] = tmp;
Hacl_Bignum_Modulo_reduce(output);
}
static void
Hacl_Bignum_Fmul_mul_shift_reduce_(FStar_UInt128_t *output, uint64_t *input, uint64_t *input2)
{
for (uint32_t i = (uint32_t)0U; i < (uint32_t)2U; i = i + (uint32_t)1U) {
uint64_t input2i = input2[i];
Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i);
Hacl_Bignum_Fmul_shift_reduce(input);
}
uint32_t i = (uint32_t)2U;
uint64_t input2i = input2[i];
Hacl_Bignum_Fproduct_sum_scalar_multiplication_(output, input, input2i);
}
inline static void
Hacl_Bignum_Fmul_fmul(uint64_t *output, uint64_t *input, uint64_t *input2)
{
uint64_t tmp[3U] = { 0U };
memcpy(tmp, input, (uint32_t)3U * sizeof input[0U]);
KRML_CHECK_SIZE(FStar_UInt128_uint64_to_uint128((uint64_t)0U), (uint32_t)3U);
FStar_UInt128_t t[3U];
for (uint32_t _i = 0U; _i < (uint32_t)3U; ++_i)
t[_i] = FStar_UInt128_uint64_to_uint128((uint64_t)0U);
Hacl_Bignum_Fmul_mul_shift_reduce_(t, tmp, input2);
Hacl_Bignum_Fproduct_carry_wide_(t);
Hacl_Bignum_Modulo_carry_top_wide(t);
Hacl_Bignum_Fproduct_copy_from_wide_(output, t);
uint64_t i0 = output[0U];
uint64_t i1 = output[1U];
uint64_t i0_ = i0 & (uint64_t)0xfffffffffffU;
uint64_t i1_ = i1 + (i0 >> (uint32_t)44U);
output[0U] = i0_;
output[1U] = i1_;
}
inline static void
Hacl_Bignum_AddAndMultiply_add_and_multiply(uint64_t *acc, uint64_t *block, uint64_t *r)
{
for (uint32_t i = (uint32_t)0U; i < (uint32_t)3U; i = i + (uint32_t)1U) {
uint64_t xi = acc[i];
uint64_t yi = block[i];
acc[i] = xi + yi;
}
Hacl_Bignum_Fmul_fmul(acc, acc, r);
}
inline static void
Hacl_Impl_Poly1305_64_poly1305_update(
Hacl_Impl_Poly1305_64_State_poly1305_state st,
uint8_t *m)
{
Hacl_Impl_Poly1305_64_State_poly1305_state scrut0 = st;
uint64_t *h = scrut0.h;
uint64_t *acc = h;
Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
uint64_t *r = scrut.r;
uint64_t *r3 = r;
uint64_t tmp[3U] = { 0U };
FStar_UInt128_t m0 = load128_le(m);
uint64_t r0 = FStar_UInt128_uint128_to_uint64(m0) & (uint64_t)0xfffffffffffU;
uint64_t
r1 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(m0, (uint32_t)44U)) & (uint64_t)0xfffffffffffU;
uint64_t r2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(m0, (uint32_t)88U));
tmp[0U] = r0;
tmp[1U] = r1;
tmp[2U] = r2;
uint64_t b2 = tmp[2U];
uint64_t b2_ = (uint64_t)0x10000000000U | b2;
tmp[2U] = b2_;
Hacl_Bignum_AddAndMultiply_add_and_multiply(acc, tmp, r3);
}
inline static void
Hacl_Impl_Poly1305_64_poly1305_process_last_block_(
uint8_t *block,
Hacl_Impl_Poly1305_64_State_poly1305_state st,
uint8_t *m,
uint64_t rem_)
{
uint64_t tmp[3U] = { 0U };
FStar_UInt128_t m0 = load128_le(block);
uint64_t r0 = FStar_UInt128_uint128_to_uint64(m0) & (uint64_t)0xfffffffffffU;
uint64_t
r1 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(m0, (uint32_t)44U)) & (uint64_t)0xfffffffffffU;
uint64_t r2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(m0, (uint32_t)88U));
tmp[0U] = r0;
tmp[1U] = r1;
tmp[2U] = r2;
Hacl_Impl_Poly1305_64_State_poly1305_state scrut0 = st;
uint64_t *h = scrut0.h;
Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
uint64_t *r = scrut.r;
Hacl_Bignum_AddAndMultiply_add_and_multiply(h, tmp, r);
}
inline static void
Hacl_Impl_Poly1305_64_poly1305_process_last_block(
Hacl_Impl_Poly1305_64_State_poly1305_state st,
uint8_t *m,
uint64_t rem_)
{
uint8_t zero1 = (uint8_t)0U;
KRML_CHECK_SIZE(zero1, (uint32_t)16U);
uint8_t block[16U];
for (uint32_t _i = 0U; _i < (uint32_t)16U; ++_i)
block[_i] = zero1;
uint32_t i0 = (uint32_t)rem_;
uint32_t i = (uint32_t)rem_;
memcpy(block, m, i * sizeof m[0U]);
block[i0] = (uint8_t)1U;
Hacl_Impl_Poly1305_64_poly1305_process_last_block_(block, st, m, rem_);
}
static void
Hacl_Impl_Poly1305_64_poly1305_last_pass(uint64_t *acc)
{
Hacl_Bignum_Fproduct_carry_limb_(acc);
Hacl_Bignum_Modulo_carry_top(acc);
uint64_t a0 = acc[0U];
uint64_t a10 = acc[1U];
uint64_t a20 = acc[2U];
uint64_t a0_ = a0 & (uint64_t)0xfffffffffffU;
uint64_t r0 = a0 >> (uint32_t)44U;
uint64_t a1_ = (a10 + r0) & (uint64_t)0xfffffffffffU;
uint64_t r1 = (a10 + r0) >> (uint32_t)44U;
uint64_t a2_ = a20 + r1;
acc[0U] = a0_;
acc[1U] = a1_;
acc[2U] = a2_;
Hacl_Bignum_Modulo_carry_top(acc);
uint64_t i0 = acc[0U];
uint64_t i1 = acc[1U];
uint64_t i0_ = i0 & (uint64_t)0xfffffffffffU;
uint64_t i1_ = i1 + (i0 >> (uint32_t)44U);
acc[0U] = i0_;
acc[1U] = i1_;
uint64_t a00 = acc[0U];
uint64_t a1 = acc[1U];
uint64_t a2 = acc[2U];
uint64_t mask0 = FStar_UInt64_gte_mask(a00, (uint64_t)0xffffffffffbU);
uint64_t mask1 = FStar_UInt64_eq_mask(a1, (uint64_t)0xfffffffffffU);
uint64_t mask2 = FStar_UInt64_eq_mask(a2, (uint64_t)0x3ffffffffffU);
uint64_t mask = (mask0 & mask1) & mask2;
uint64_t a0_0 = a00 - ((uint64_t)0xffffffffffbU & mask);
uint64_t a1_0 = a1 - ((uint64_t)0xfffffffffffU & mask);
uint64_t a2_0 = a2 - ((uint64_t)0x3ffffffffffU & mask);
acc[0U] = a0_0;
acc[1U] = a1_0;
acc[2U] = a2_0;
}
static Hacl_Impl_Poly1305_64_State_poly1305_state
Hacl_Impl_Poly1305_64_mk_state(uint64_t *r, uint64_t *h)
{
return ((Hacl_Impl_Poly1305_64_State_poly1305_state){.r = r, .h = h });
}
static void
Hacl_Standalone_Poly1305_64_poly1305_blocks(
Hacl_Impl_Poly1305_64_State_poly1305_state st,
uint8_t *m,
uint64_t len1)
{
if (!(len1 == (uint64_t)0U)) {
uint8_t *block = m;
uint8_t *tail1 = m + (uint32_t)16U;
Hacl_Impl_Poly1305_64_poly1305_update(st, block);
uint64_t len2 = len1 - (uint64_t)1U;
Hacl_Standalone_Poly1305_64_poly1305_blocks(st, tail1, len2);
}
}
static void
Hacl_Standalone_Poly1305_64_poly1305_partial(
Hacl_Impl_Poly1305_64_State_poly1305_state st,
uint8_t *input,
uint64_t len1,
uint8_t *kr)
{
Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
uint64_t *r = scrut.r;
uint64_t *x0 = r;
FStar_UInt128_t k1 = load128_le(kr);
FStar_UInt128_t
k_clamped =
FStar_UInt128_logand(k1,
FStar_UInt128_logor(FStar_UInt128_shift_left(FStar_UInt128_uint64_to_uint128((uint64_t)0x0ffffffc0ffffffcU),
(uint32_t)64U),
FStar_UInt128_uint64_to_uint128((uint64_t)0x0ffffffc0fffffffU)));
uint64_t r0 = FStar_UInt128_uint128_to_uint64(k_clamped) & (uint64_t)0xfffffffffffU;
uint64_t
r1 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(k_clamped, (uint32_t)44U)) & (uint64_t)0xfffffffffffU;
uint64_t
r2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(k_clamped, (uint32_t)88U));
x0[0U] = r0;
x0[1U] = r1;
x0[2U] = r2;
Hacl_Impl_Poly1305_64_State_poly1305_state scrut0 = st;
uint64_t *h = scrut0.h;
uint64_t *x00 = h;
x00[0U] = (uint64_t)0U;
x00[1U] = (uint64_t)0U;
x00[2U] = (uint64_t)0U;
Hacl_Standalone_Poly1305_64_poly1305_blocks(st, input, len1);
}
static void
Hacl_Standalone_Poly1305_64_poly1305_complete(
Hacl_Impl_Poly1305_64_State_poly1305_state st,
uint8_t *m,
uint64_t len1,
uint8_t *k1)
{
uint8_t *kr = k1;
uint64_t len16 = len1 >> (uint32_t)4U;
uint64_t rem16 = len1 & (uint64_t)0xfU;
uint8_t *part_input = m;
uint8_t *last_block = m + (uint32_t)((uint64_t)16U * len16);
Hacl_Standalone_Poly1305_64_poly1305_partial(st, part_input, len16, kr);
if (!(rem16 == (uint64_t)0U))
Hacl_Impl_Poly1305_64_poly1305_process_last_block(st, last_block, rem16);
Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
uint64_t *h = scrut.h;
uint64_t *acc = h;
Hacl_Impl_Poly1305_64_poly1305_last_pass(acc);
}
static void
Hacl_Standalone_Poly1305_64_crypto_onetimeauth_(
uint8_t *output,
uint8_t *input,
uint64_t len1,
uint8_t *k1)
{
uint64_t buf[6U] = { 0U };
uint64_t *r = buf;
uint64_t *h = buf + (uint32_t)3U;
Hacl_Impl_Poly1305_64_State_poly1305_state st = Hacl_Impl_Poly1305_64_mk_state(r, h);
uint8_t *key_s = k1 + (uint32_t)16U;
Hacl_Standalone_Poly1305_64_poly1305_complete(st, input, len1, k1);
Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
uint64_t *h3 = scrut.h;
uint64_t *acc = h3;
FStar_UInt128_t k_ = load128_le(key_s);
uint64_t h0 = acc[0U];
uint64_t h1 = acc[1U];
uint64_t h2 = acc[2U];
FStar_UInt128_t
acc_ =
FStar_UInt128_logor(FStar_UInt128_shift_left(FStar_UInt128_uint64_to_uint128(h2
<< (uint32_t)24U |
h1 >> (uint32_t)20U),
(uint32_t)64U),
FStar_UInt128_uint64_to_uint128(h1 << (uint32_t)44U | h0));
FStar_UInt128_t mac_ = FStar_UInt128_add_mod(acc_, k_);
store128_le(output, mac_);
}
static void
Hacl_Standalone_Poly1305_64_crypto_onetimeauth(
uint8_t *output,
uint8_t *input,
uint64_t len1,
uint8_t *k1)
{
Hacl_Standalone_Poly1305_64_crypto_onetimeauth_(output, input, len1, k1);
}
Hacl_Impl_Poly1305_64_State_poly1305_state
Hacl_Poly1305_64_mk_state(uint64_t *r, uint64_t *acc)
{
return Hacl_Impl_Poly1305_64_mk_state(r, acc);
}
void
Hacl_Poly1305_64_init(Hacl_Impl_Poly1305_64_State_poly1305_state st, uint8_t *k1)
{
Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
uint64_t *r = scrut.r;
uint64_t *x0 = r;
FStar_UInt128_t k10 = load128_le(k1);
FStar_UInt128_t
k_clamped =
FStar_UInt128_logand(k10,
FStar_UInt128_logor(FStar_UInt128_shift_left(FStar_UInt128_uint64_to_uint128((uint64_t)0x0ffffffc0ffffffcU),
(uint32_t)64U),
FStar_UInt128_uint64_to_uint128((uint64_t)0x0ffffffc0fffffffU)));
uint64_t r0 = FStar_UInt128_uint128_to_uint64(k_clamped) & (uint64_t)0xfffffffffffU;
uint64_t
r1 =
FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(k_clamped, (uint32_t)44U)) & (uint64_t)0xfffffffffffU;
uint64_t
r2 = FStar_UInt128_uint128_to_uint64(FStar_UInt128_shift_right(k_clamped, (uint32_t)88U));
x0[0U] = r0;
x0[1U] = r1;
x0[2U] = r2;
Hacl_Impl_Poly1305_64_State_poly1305_state scrut0 = st;
uint64_t *h = scrut0.h;
uint64_t *x00 = h;
x00[0U] = (uint64_t)0U;
x00[1U] = (uint64_t)0U;
x00[2U] = (uint64_t)0U;
}
void
Hacl_Poly1305_64_update_block(Hacl_Impl_Poly1305_64_State_poly1305_state st, uint8_t *m)
{
Hacl_Impl_Poly1305_64_poly1305_update(st, m);
}
void
Hacl_Poly1305_64_update(
Hacl_Impl_Poly1305_64_State_poly1305_state st,
uint8_t *m,
uint32_t num_blocks)
{
if (!(num_blocks == (uint32_t)0U)) {
uint8_t *block = m;
uint8_t *m_ = m + (uint32_t)16U;
uint32_t n1 = num_blocks - (uint32_t)1U;
Hacl_Poly1305_64_update_block(st, block);
Hacl_Poly1305_64_update(st, m_, n1);
}
}
void
Hacl_Poly1305_64_update_last(
Hacl_Impl_Poly1305_64_State_poly1305_state st,
uint8_t *m,
uint32_t len1)
{
if (!((uint64_t)len1 == (uint64_t)0U))
Hacl_Impl_Poly1305_64_poly1305_process_last_block(st, m, (uint64_t)len1);
Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
uint64_t *h = scrut.h;
uint64_t *acc = h;
Hacl_Impl_Poly1305_64_poly1305_last_pass(acc);
}
void
Hacl_Poly1305_64_finish(
Hacl_Impl_Poly1305_64_State_poly1305_state st,
uint8_t *mac,
uint8_t *k1)
{
Hacl_Impl_Poly1305_64_State_poly1305_state scrut = st;
uint64_t *h = scrut.h;
uint64_t *acc = h;
FStar_UInt128_t k_ = load128_le(k1);
uint64_t h0 = acc[0U];
uint64_t h1 = acc[1U];
uint64_t h2 = acc[2U];
FStar_UInt128_t
acc_ =
FStar_UInt128_logor(FStar_UInt128_shift_left(FStar_UInt128_uint64_to_uint128(h2
<< (uint32_t)24U |
h1 >> (uint32_t)20U),
(uint32_t)64U),
FStar_UInt128_uint64_to_uint128(h1 << (uint32_t)44U | h0));
FStar_UInt128_t mac_ = FStar_UInt128_add_mod(acc_, k_);
store128_le(mac, mac_);
}
void
Hacl_Poly1305_64_crypto_onetimeauth(
uint8_t *output,
uint8_t *input,
uint64_t len1,
uint8_t *k1)
{
Hacl_Standalone_Poly1305_64_crypto_onetimeauth(output, input, len1, k1);
}
|