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torvalds
GitHub Repository: torvalds/linux
Path: blob/master/lib/crypto/x86/curve25519.h
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1
// SPDX-License-Identifier: GPL-2.0 OR MIT
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/*
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* Copyright (C) 2020 Jason A. Donenfeld <[email protected]>. All Rights Reserved.
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* Copyright (c) 2016-2020 INRIA, CMU and Microsoft Corporation
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*/
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#include <linux/types.h>
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#include <linux/jump_label.h>
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#include <linux/kernel.h>
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#include <asm/cpufeature.h>
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#include <asm/processor.h>
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static __always_inline u64 eq_mask(u64 a, u64 b)
15
{
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u64 x = a ^ b;
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u64 minus_x = ~x + (u64)1U;
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u64 x_or_minus_x = x | minus_x;
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u64 xnx = x_or_minus_x >> (u32)63U;
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return xnx - (u64)1U;
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}
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static __always_inline u64 gte_mask(u64 a, u64 b)
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{
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u64 x = a;
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u64 y = b;
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u64 x_xor_y = x ^ y;
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u64 x_sub_y = x - y;
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u64 x_sub_y_xor_y = x_sub_y ^ y;
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u64 q = x_xor_y | x_sub_y_xor_y;
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u64 x_xor_q = x ^ q;
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u64 x_xor_q_ = x_xor_q >> (u32)63U;
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return x_xor_q_ - (u64)1U;
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}
35
36
/* Computes the addition of four-element f1 with value in f2
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* and returns the carry (if any) */
38
static inline u64 add_scalar(u64 *out, const u64 *f1, u64 f2)
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{
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u64 carry_r;
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asm volatile(
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/* Clear registers to propagate the carry bit */
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" xor %%r8d, %%r8d;"
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" xor %%r9d, %%r9d;"
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" xor %%r10d, %%r10d;"
47
" xor %%r11d, %%r11d;"
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" xor %k1, %k1;"
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50
/* Begin addition chain */
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" addq 0(%3), %0;"
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" movq %0, 0(%2);"
53
" adcxq 8(%3), %%r8;"
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" movq %%r8, 8(%2);"
55
" adcxq 16(%3), %%r9;"
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" movq %%r9, 16(%2);"
57
" adcxq 24(%3), %%r10;"
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" movq %%r10, 24(%2);"
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/* Return the carry bit in a register */
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" adcx %%r11, %1;"
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: "+&r"(f2), "=&r"(carry_r)
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: "r"(out), "r"(f1)
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: "%r8", "%r9", "%r10", "%r11", "memory", "cc");
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return carry_r;
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}
68
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/* Computes the field addition of two field elements */
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static inline void fadd(u64 *out, const u64 *f1, const u64 *f2)
71
{
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asm volatile(
73
/* Compute the raw addition of f1 + f2 */
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" movq 0(%0), %%r8;"
75
" addq 0(%2), %%r8;"
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" movq 8(%0), %%r9;"
77
" adcxq 8(%2), %%r9;"
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" movq 16(%0), %%r10;"
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" adcxq 16(%2), %%r10;"
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" movq 24(%0), %%r11;"
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" adcxq 24(%2), %%r11;"
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/* Wrap the result back into the field */
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/* Step 1: Compute carry*38 */
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" mov $0, %%rax;"
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" mov $38, %0;"
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" cmovc %0, %%rax;"
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/* Step 2: Add carry*38 to the original sum */
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" xor %%ecx, %%ecx;"
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" add %%rax, %%r8;"
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" adcx %%rcx, %%r9;"
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" movq %%r9, 8(%1);"
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" adcx %%rcx, %%r10;"
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" movq %%r10, 16(%1);"
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" adcx %%rcx, %%r11;"
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" movq %%r11, 24(%1);"
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/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
101
" mov $0, %%rax;"
102
" cmovc %0, %%rax;"
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" add %%rax, %%r8;"
104
" movq %%r8, 0(%1);"
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: "+&r"(f2)
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: "r"(out), "r"(f1)
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: "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc");
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}
109
110
/* Computes the field subtraction of two field elements */
111
static inline void fsub(u64 *out, const u64 *f1, const u64 *f2)
112
{
113
asm volatile(
114
/* Compute the raw subtraction of f1-f2 */
115
" movq 0(%1), %%r8;"
116
" subq 0(%2), %%r8;"
117
" movq 8(%1), %%r9;"
118
" sbbq 8(%2), %%r9;"
119
" movq 16(%1), %%r10;"
120
" sbbq 16(%2), %%r10;"
121
" movq 24(%1), %%r11;"
122
" sbbq 24(%2), %%r11;"
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124
/* Wrap the result back into the field */
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/* Step 1: Compute carry*38 */
127
" mov $0, %%rax;"
128
" mov $38, %%rcx;"
129
" cmovc %%rcx, %%rax;"
130
131
/* Step 2: Subtract carry*38 from the original difference */
132
" sub %%rax, %%r8;"
133
" sbb $0, %%r9;"
134
" sbb $0, %%r10;"
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" sbb $0, %%r11;"
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137
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
138
" mov $0, %%rax;"
139
" cmovc %%rcx, %%rax;"
140
" sub %%rax, %%r8;"
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/* Store the result */
143
" movq %%r8, 0(%0);"
144
" movq %%r9, 8(%0);"
145
" movq %%r10, 16(%0);"
146
" movq %%r11, 24(%0);"
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:
148
: "r"(out), "r"(f1), "r"(f2)
149
: "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc");
150
}
151
152
/* Computes a field multiplication: out <- f1 * f2
153
* Uses the 8-element buffer tmp for intermediate results */
154
static inline void fmul(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp)
155
{
156
asm volatile(
157
158
/* Compute the raw multiplication: tmp <- src1 * src2 */
159
160
/* Compute src1[0] * src2 */
161
" movq 0(%0), %%rdx;"
162
" mulxq 0(%1), %%r8, %%r9;"
163
" xor %%r10d, %%r10d;"
164
" movq %%r8, 0(%2);"
165
" mulxq 8(%1), %%r10, %%r11;"
166
" adox %%r9, %%r10;"
167
" movq %%r10, 8(%2);"
168
" mulxq 16(%1), %%rbx, %%r13;"
169
" adox %%r11, %%rbx;"
170
" mulxq 24(%1), %%r14, %%rdx;"
171
" adox %%r13, %%r14;"
172
" mov $0, %%rax;"
173
" adox %%rdx, %%rax;"
174
175
/* Compute src1[1] * src2 */
176
" movq 8(%0), %%rdx;"
177
" mulxq 0(%1), %%r8, %%r9;"
178
" xor %%r10d, %%r10d;"
179
" adcxq 8(%2), %%r8;"
180
" movq %%r8, 8(%2);"
181
" mulxq 8(%1), %%r10, %%r11;"
182
" adox %%r9, %%r10;"
183
" adcx %%rbx, %%r10;"
184
" movq %%r10, 16(%2);"
185
" mulxq 16(%1), %%rbx, %%r13;"
186
" adox %%r11, %%rbx;"
187
" adcx %%r14, %%rbx;"
188
" mov $0, %%r8;"
189
" mulxq 24(%1), %%r14, %%rdx;"
190
" adox %%r13, %%r14;"
191
" adcx %%rax, %%r14;"
192
" mov $0, %%rax;"
193
" adox %%rdx, %%rax;"
194
" adcx %%r8, %%rax;"
195
196
/* Compute src1[2] * src2 */
197
" movq 16(%0), %%rdx;"
198
" mulxq 0(%1), %%r8, %%r9;"
199
" xor %%r10d, %%r10d;"
200
" adcxq 16(%2), %%r8;"
201
" movq %%r8, 16(%2);"
202
" mulxq 8(%1), %%r10, %%r11;"
203
" adox %%r9, %%r10;"
204
" adcx %%rbx, %%r10;"
205
" movq %%r10, 24(%2);"
206
" mulxq 16(%1), %%rbx, %%r13;"
207
" adox %%r11, %%rbx;"
208
" adcx %%r14, %%rbx;"
209
" mov $0, %%r8;"
210
" mulxq 24(%1), %%r14, %%rdx;"
211
" adox %%r13, %%r14;"
212
" adcx %%rax, %%r14;"
213
" mov $0, %%rax;"
214
" adox %%rdx, %%rax;"
215
" adcx %%r8, %%rax;"
216
217
/* Compute src1[3] * src2 */
218
" movq 24(%0), %%rdx;"
219
" mulxq 0(%1), %%r8, %%r9;"
220
" xor %%r10d, %%r10d;"
221
" adcxq 24(%2), %%r8;"
222
" movq %%r8, 24(%2);"
223
" mulxq 8(%1), %%r10, %%r11;"
224
" adox %%r9, %%r10;"
225
" adcx %%rbx, %%r10;"
226
" movq %%r10, 32(%2);"
227
" mulxq 16(%1), %%rbx, %%r13;"
228
" adox %%r11, %%rbx;"
229
" adcx %%r14, %%rbx;"
230
" movq %%rbx, 40(%2);"
231
" mov $0, %%r8;"
232
" mulxq 24(%1), %%r14, %%rdx;"
233
" adox %%r13, %%r14;"
234
" adcx %%rax, %%r14;"
235
" movq %%r14, 48(%2);"
236
" mov $0, %%rax;"
237
" adox %%rdx, %%rax;"
238
" adcx %%r8, %%rax;"
239
" movq %%rax, 56(%2);"
240
241
/* Line up pointers */
242
" mov %2, %0;"
243
" mov %3, %2;"
244
245
/* Wrap the result back into the field */
246
247
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
248
" mov $38, %%rdx;"
249
" mulxq 32(%0), %%r8, %%r13;"
250
" xor %k1, %k1;"
251
" adoxq 0(%0), %%r8;"
252
" mulxq 40(%0), %%r9, %%rbx;"
253
" adcx %%r13, %%r9;"
254
" adoxq 8(%0), %%r9;"
255
" mulxq 48(%0), %%r10, %%r13;"
256
" adcx %%rbx, %%r10;"
257
" adoxq 16(%0), %%r10;"
258
" mulxq 56(%0), %%r11, %%rax;"
259
" adcx %%r13, %%r11;"
260
" adoxq 24(%0), %%r11;"
261
" adcx %1, %%rax;"
262
" adox %1, %%rax;"
263
" imul %%rdx, %%rax;"
264
265
/* Step 2: Fold the carry back into dst */
266
" add %%rax, %%r8;"
267
" adcx %1, %%r9;"
268
" movq %%r9, 8(%2);"
269
" adcx %1, %%r10;"
270
" movq %%r10, 16(%2);"
271
" adcx %1, %%r11;"
272
" movq %%r11, 24(%2);"
273
274
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
275
" mov $0, %%rax;"
276
" cmovc %%rdx, %%rax;"
277
" add %%rax, %%r8;"
278
" movq %%r8, 0(%2);"
279
: "+&r"(f1), "+&r"(f2), "+&r"(tmp)
280
: "r"(out)
281
: "%rax", "%rbx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r13",
282
"%r14", "memory", "cc");
283
}
284
285
/* Computes two field multiplications:
286
* out[0] <- f1[0] * f2[0]
287
* out[1] <- f1[1] * f2[1]
288
* Uses the 16-element buffer tmp for intermediate results: */
289
static inline void fmul2(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp)
290
{
291
asm volatile(
292
293
/* Compute the raw multiplication tmp[0] <- f1[0] * f2[0] */
294
295
/* Compute src1[0] * src2 */
296
" movq 0(%0), %%rdx;"
297
" mulxq 0(%1), %%r8, %%r9;"
298
" xor %%r10d, %%r10d;"
299
" movq %%r8, 0(%2);"
300
" mulxq 8(%1), %%r10, %%r11;"
301
" adox %%r9, %%r10;"
302
" movq %%r10, 8(%2);"
303
" mulxq 16(%1), %%rbx, %%r13;"
304
" adox %%r11, %%rbx;"
305
" mulxq 24(%1), %%r14, %%rdx;"
306
" adox %%r13, %%r14;"
307
" mov $0, %%rax;"
308
" adox %%rdx, %%rax;"
309
310
/* Compute src1[1] * src2 */
311
" movq 8(%0), %%rdx;"
312
" mulxq 0(%1), %%r8, %%r9;"
313
" xor %%r10d, %%r10d;"
314
" adcxq 8(%2), %%r8;"
315
" movq %%r8, 8(%2);"
316
" mulxq 8(%1), %%r10, %%r11;"
317
" adox %%r9, %%r10;"
318
" adcx %%rbx, %%r10;"
319
" movq %%r10, 16(%2);"
320
" mulxq 16(%1), %%rbx, %%r13;"
321
" adox %%r11, %%rbx;"
322
" adcx %%r14, %%rbx;"
323
" mov $0, %%r8;"
324
" mulxq 24(%1), %%r14, %%rdx;"
325
" adox %%r13, %%r14;"
326
" adcx %%rax, %%r14;"
327
" mov $0, %%rax;"
328
" adox %%rdx, %%rax;"
329
" adcx %%r8, %%rax;"
330
331
/* Compute src1[2] * src2 */
332
" movq 16(%0), %%rdx;"
333
" mulxq 0(%1), %%r8, %%r9;"
334
" xor %%r10d, %%r10d;"
335
" adcxq 16(%2), %%r8;"
336
" movq %%r8, 16(%2);"
337
" mulxq 8(%1), %%r10, %%r11;"
338
" adox %%r9, %%r10;"
339
" adcx %%rbx, %%r10;"
340
" movq %%r10, 24(%2);"
341
" mulxq 16(%1), %%rbx, %%r13;"
342
" adox %%r11, %%rbx;"
343
" adcx %%r14, %%rbx;"
344
" mov $0, %%r8;"
345
" mulxq 24(%1), %%r14, %%rdx;"
346
" adox %%r13, %%r14;"
347
" adcx %%rax, %%r14;"
348
" mov $0, %%rax;"
349
" adox %%rdx, %%rax;"
350
" adcx %%r8, %%rax;"
351
352
/* Compute src1[3] * src2 */
353
" movq 24(%0), %%rdx;"
354
" mulxq 0(%1), %%r8, %%r9;"
355
" xor %%r10d, %%r10d;"
356
" adcxq 24(%2), %%r8;"
357
" movq %%r8, 24(%2);"
358
" mulxq 8(%1), %%r10, %%r11;"
359
" adox %%r9, %%r10;"
360
" adcx %%rbx, %%r10;"
361
" movq %%r10, 32(%2);"
362
" mulxq 16(%1), %%rbx, %%r13;"
363
" adox %%r11, %%rbx;"
364
" adcx %%r14, %%rbx;"
365
" movq %%rbx, 40(%2);"
366
" mov $0, %%r8;"
367
" mulxq 24(%1), %%r14, %%rdx;"
368
" adox %%r13, %%r14;"
369
" adcx %%rax, %%r14;"
370
" movq %%r14, 48(%2);"
371
" mov $0, %%rax;"
372
" adox %%rdx, %%rax;"
373
" adcx %%r8, %%rax;"
374
" movq %%rax, 56(%2);"
375
376
/* Compute the raw multiplication tmp[1] <- f1[1] * f2[1] */
377
378
/* Compute src1[0] * src2 */
379
" movq 32(%0), %%rdx;"
380
" mulxq 32(%1), %%r8, %%r9;"
381
" xor %%r10d, %%r10d;"
382
" movq %%r8, 64(%2);"
383
" mulxq 40(%1), %%r10, %%r11;"
384
" adox %%r9, %%r10;"
385
" movq %%r10, 72(%2);"
386
" mulxq 48(%1), %%rbx, %%r13;"
387
" adox %%r11, %%rbx;"
388
" mulxq 56(%1), %%r14, %%rdx;"
389
" adox %%r13, %%r14;"
390
" mov $0, %%rax;"
391
" adox %%rdx, %%rax;"
392
393
/* Compute src1[1] * src2 */
394
" movq 40(%0), %%rdx;"
395
" mulxq 32(%1), %%r8, %%r9;"
396
" xor %%r10d, %%r10d;"
397
" adcxq 72(%2), %%r8;"
398
" movq %%r8, 72(%2);"
399
" mulxq 40(%1), %%r10, %%r11;"
400
" adox %%r9, %%r10;"
401
" adcx %%rbx, %%r10;"
402
" movq %%r10, 80(%2);"
403
" mulxq 48(%1), %%rbx, %%r13;"
404
" adox %%r11, %%rbx;"
405
" adcx %%r14, %%rbx;"
406
" mov $0, %%r8;"
407
" mulxq 56(%1), %%r14, %%rdx;"
408
" adox %%r13, %%r14;"
409
" adcx %%rax, %%r14;"
410
" mov $0, %%rax;"
411
" adox %%rdx, %%rax;"
412
" adcx %%r8, %%rax;"
413
414
/* Compute src1[2] * src2 */
415
" movq 48(%0), %%rdx;"
416
" mulxq 32(%1), %%r8, %%r9;"
417
" xor %%r10d, %%r10d;"
418
" adcxq 80(%2), %%r8;"
419
" movq %%r8, 80(%2);"
420
" mulxq 40(%1), %%r10, %%r11;"
421
" adox %%r9, %%r10;"
422
" adcx %%rbx, %%r10;"
423
" movq %%r10, 88(%2);"
424
" mulxq 48(%1), %%rbx, %%r13;"
425
" adox %%r11, %%rbx;"
426
" adcx %%r14, %%rbx;"
427
" mov $0, %%r8;"
428
" mulxq 56(%1), %%r14, %%rdx;"
429
" adox %%r13, %%r14;"
430
" adcx %%rax, %%r14;"
431
" mov $0, %%rax;"
432
" adox %%rdx, %%rax;"
433
" adcx %%r8, %%rax;"
434
435
/* Compute src1[3] * src2 */
436
" movq 56(%0), %%rdx;"
437
" mulxq 32(%1), %%r8, %%r9;"
438
" xor %%r10d, %%r10d;"
439
" adcxq 88(%2), %%r8;"
440
" movq %%r8, 88(%2);"
441
" mulxq 40(%1), %%r10, %%r11;"
442
" adox %%r9, %%r10;"
443
" adcx %%rbx, %%r10;"
444
" movq %%r10, 96(%2);"
445
" mulxq 48(%1), %%rbx, %%r13;"
446
" adox %%r11, %%rbx;"
447
" adcx %%r14, %%rbx;"
448
" movq %%rbx, 104(%2);"
449
" mov $0, %%r8;"
450
" mulxq 56(%1), %%r14, %%rdx;"
451
" adox %%r13, %%r14;"
452
" adcx %%rax, %%r14;"
453
" movq %%r14, 112(%2);"
454
" mov $0, %%rax;"
455
" adox %%rdx, %%rax;"
456
" adcx %%r8, %%rax;"
457
" movq %%rax, 120(%2);"
458
459
/* Line up pointers */
460
" mov %2, %0;"
461
" mov %3, %2;"
462
463
/* Wrap the results back into the field */
464
465
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
466
" mov $38, %%rdx;"
467
" mulxq 32(%0), %%r8, %%r13;"
468
" xor %k1, %k1;"
469
" adoxq 0(%0), %%r8;"
470
" mulxq 40(%0), %%r9, %%rbx;"
471
" adcx %%r13, %%r9;"
472
" adoxq 8(%0), %%r9;"
473
" mulxq 48(%0), %%r10, %%r13;"
474
" adcx %%rbx, %%r10;"
475
" adoxq 16(%0), %%r10;"
476
" mulxq 56(%0), %%r11, %%rax;"
477
" adcx %%r13, %%r11;"
478
" adoxq 24(%0), %%r11;"
479
" adcx %1, %%rax;"
480
" adox %1, %%rax;"
481
" imul %%rdx, %%rax;"
482
483
/* Step 2: Fold the carry back into dst */
484
" add %%rax, %%r8;"
485
" adcx %1, %%r9;"
486
" movq %%r9, 8(%2);"
487
" adcx %1, %%r10;"
488
" movq %%r10, 16(%2);"
489
" adcx %1, %%r11;"
490
" movq %%r11, 24(%2);"
491
492
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
493
" mov $0, %%rax;"
494
" cmovc %%rdx, %%rax;"
495
" add %%rax, %%r8;"
496
" movq %%r8, 0(%2);"
497
498
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
499
" mov $38, %%rdx;"
500
" mulxq 96(%0), %%r8, %%r13;"
501
" xor %k1, %k1;"
502
" adoxq 64(%0), %%r8;"
503
" mulxq 104(%0), %%r9, %%rbx;"
504
" adcx %%r13, %%r9;"
505
" adoxq 72(%0), %%r9;"
506
" mulxq 112(%0), %%r10, %%r13;"
507
" adcx %%rbx, %%r10;"
508
" adoxq 80(%0), %%r10;"
509
" mulxq 120(%0), %%r11, %%rax;"
510
" adcx %%r13, %%r11;"
511
" adoxq 88(%0), %%r11;"
512
" adcx %1, %%rax;"
513
" adox %1, %%rax;"
514
" imul %%rdx, %%rax;"
515
516
/* Step 2: Fold the carry back into dst */
517
" add %%rax, %%r8;"
518
" adcx %1, %%r9;"
519
" movq %%r9, 40(%2);"
520
" adcx %1, %%r10;"
521
" movq %%r10, 48(%2);"
522
" adcx %1, %%r11;"
523
" movq %%r11, 56(%2);"
524
525
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
526
" mov $0, %%rax;"
527
" cmovc %%rdx, %%rax;"
528
" add %%rax, %%r8;"
529
" movq %%r8, 32(%2);"
530
: "+&r"(f1), "+&r"(f2), "+&r"(tmp)
531
: "r"(out)
532
: "%rax", "%rbx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r13",
533
"%r14", "memory", "cc");
534
}
535
536
/* Computes the field multiplication of four-element f1 with value in f2
537
* Requires f2 to be smaller than 2^17 */
538
static inline void fmul_scalar(u64 *out, const u64 *f1, u64 f2)
539
{
540
register u64 f2_r asm("rdx") = f2;
541
542
asm volatile(
543
/* Compute the raw multiplication of f1*f2 */
544
" mulxq 0(%2), %%r8, %%rcx;" /* f1[0]*f2 */
545
" mulxq 8(%2), %%r9, %%rbx;" /* f1[1]*f2 */
546
" add %%rcx, %%r9;"
547
" mov $0, %%rcx;"
548
" mulxq 16(%2), %%r10, %%r13;" /* f1[2]*f2 */
549
" adcx %%rbx, %%r10;"
550
" mulxq 24(%2), %%r11, %%rax;" /* f1[3]*f2 */
551
" adcx %%r13, %%r11;"
552
" adcx %%rcx, %%rax;"
553
554
/* Wrap the result back into the field */
555
556
/* Step 1: Compute carry*38 */
557
" mov $38, %%rdx;"
558
" imul %%rdx, %%rax;"
559
560
/* Step 2: Fold the carry back into dst */
561
" add %%rax, %%r8;"
562
" adcx %%rcx, %%r9;"
563
" movq %%r9, 8(%1);"
564
" adcx %%rcx, %%r10;"
565
" movq %%r10, 16(%1);"
566
" adcx %%rcx, %%r11;"
567
" movq %%r11, 24(%1);"
568
569
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
570
" mov $0, %%rax;"
571
" cmovc %%rdx, %%rax;"
572
" add %%rax, %%r8;"
573
" movq %%r8, 0(%1);"
574
: "+&r"(f2_r)
575
: "r"(out), "r"(f1)
576
: "%rax", "%rbx", "%rcx", "%r8", "%r9", "%r10", "%r11", "%r13",
577
"memory", "cc");
578
}
579
580
/* Computes p1 <- bit ? p2 : p1 in constant time */
581
static inline void cswap2(u64 bit, const u64 *p1, const u64 *p2)
582
{
583
asm volatile(
584
/* Transfer bit into CF flag */
585
" add $18446744073709551615, %0;"
586
587
/* cswap p1[0], p2[0] */
588
" movq 0(%1), %%r8;"
589
" movq 0(%2), %%r9;"
590
" mov %%r8, %%r10;"
591
" cmovc %%r9, %%r8;"
592
" cmovc %%r10, %%r9;"
593
" movq %%r8, 0(%1);"
594
" movq %%r9, 0(%2);"
595
596
/* cswap p1[1], p2[1] */
597
" movq 8(%1), %%r8;"
598
" movq 8(%2), %%r9;"
599
" mov %%r8, %%r10;"
600
" cmovc %%r9, %%r8;"
601
" cmovc %%r10, %%r9;"
602
" movq %%r8, 8(%1);"
603
" movq %%r9, 8(%2);"
604
605
/* cswap p1[2], p2[2] */
606
" movq 16(%1), %%r8;"
607
" movq 16(%2), %%r9;"
608
" mov %%r8, %%r10;"
609
" cmovc %%r9, %%r8;"
610
" cmovc %%r10, %%r9;"
611
" movq %%r8, 16(%1);"
612
" movq %%r9, 16(%2);"
613
614
/* cswap p1[3], p2[3] */
615
" movq 24(%1), %%r8;"
616
" movq 24(%2), %%r9;"
617
" mov %%r8, %%r10;"
618
" cmovc %%r9, %%r8;"
619
" cmovc %%r10, %%r9;"
620
" movq %%r8, 24(%1);"
621
" movq %%r9, 24(%2);"
622
623
/* cswap p1[4], p2[4] */
624
" movq 32(%1), %%r8;"
625
" movq 32(%2), %%r9;"
626
" mov %%r8, %%r10;"
627
" cmovc %%r9, %%r8;"
628
" cmovc %%r10, %%r9;"
629
" movq %%r8, 32(%1);"
630
" movq %%r9, 32(%2);"
631
632
/* cswap p1[5], p2[5] */
633
" movq 40(%1), %%r8;"
634
" movq 40(%2), %%r9;"
635
" mov %%r8, %%r10;"
636
" cmovc %%r9, %%r8;"
637
" cmovc %%r10, %%r9;"
638
" movq %%r8, 40(%1);"
639
" movq %%r9, 40(%2);"
640
641
/* cswap p1[6], p2[6] */
642
" movq 48(%1), %%r8;"
643
" movq 48(%2), %%r9;"
644
" mov %%r8, %%r10;"
645
" cmovc %%r9, %%r8;"
646
" cmovc %%r10, %%r9;"
647
" movq %%r8, 48(%1);"
648
" movq %%r9, 48(%2);"
649
650
/* cswap p1[7], p2[7] */
651
" movq 56(%1), %%r8;"
652
" movq 56(%2), %%r9;"
653
" mov %%r8, %%r10;"
654
" cmovc %%r9, %%r8;"
655
" cmovc %%r10, %%r9;"
656
" movq %%r8, 56(%1);"
657
" movq %%r9, 56(%2);"
658
: "+&r"(bit)
659
: "r"(p1), "r"(p2)
660
: "%r8", "%r9", "%r10", "memory", "cc");
661
}
662
663
/* Computes the square of a field element: out <- f * f
664
* Uses the 8-element buffer tmp for intermediate results */
665
static inline void fsqr(u64 *out, const u64 *f, u64 *tmp)
666
{
667
asm volatile(
668
/* Compute the raw multiplication: tmp <- f * f */
669
670
/* Step 1: Compute all partial products */
671
" movq 0(%0), %%rdx;" /* f[0] */
672
" mulxq 8(%0), %%r8, %%r14;"
673
" xor %%r15d, %%r15d;" /* f[1]*f[0] */
674
" mulxq 16(%0), %%r9, %%r10;"
675
" adcx %%r14, %%r9;" /* f[2]*f[0] */
676
" mulxq 24(%0), %%rax, %%rcx;"
677
" adcx %%rax, %%r10;" /* f[3]*f[0] */
678
" movq 24(%0), %%rdx;" /* f[3] */
679
" mulxq 8(%0), %%r11, %%rbx;"
680
" adcx %%rcx, %%r11;" /* f[1]*f[3] */
681
" mulxq 16(%0), %%rax, %%r13;"
682
" adcx %%rax, %%rbx;" /* f[2]*f[3] */
683
" movq 8(%0), %%rdx;"
684
" adcx %%r15, %%r13;" /* f1 */
685
" mulxq 16(%0), %%rax, %%rcx;"
686
" mov $0, %%r14;" /* f[2]*f[1] */
687
688
/* Step 2: Compute two parallel carry chains */
689
" xor %%r15d, %%r15d;"
690
" adox %%rax, %%r10;"
691
" adcx %%r8, %%r8;"
692
" adox %%rcx, %%r11;"
693
" adcx %%r9, %%r9;"
694
" adox %%r15, %%rbx;"
695
" adcx %%r10, %%r10;"
696
" adox %%r15, %%r13;"
697
" adcx %%r11, %%r11;"
698
" adox %%r15, %%r14;"
699
" adcx %%rbx, %%rbx;"
700
" adcx %%r13, %%r13;"
701
" adcx %%r14, %%r14;"
702
703
/* Step 3: Compute intermediate squares */
704
" movq 0(%0), %%rdx;"
705
" mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
706
" movq %%rax, 0(%1);"
707
" add %%rcx, %%r8;"
708
" movq %%r8, 8(%1);"
709
" movq 8(%0), %%rdx;"
710
" mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
711
" adcx %%rax, %%r9;"
712
" movq %%r9, 16(%1);"
713
" adcx %%rcx, %%r10;"
714
" movq %%r10, 24(%1);"
715
" movq 16(%0), %%rdx;"
716
" mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
717
" adcx %%rax, %%r11;"
718
" movq %%r11, 32(%1);"
719
" adcx %%rcx, %%rbx;"
720
" movq %%rbx, 40(%1);"
721
" movq 24(%0), %%rdx;"
722
" mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
723
" adcx %%rax, %%r13;"
724
" movq %%r13, 48(%1);"
725
" adcx %%rcx, %%r14;"
726
" movq %%r14, 56(%1);"
727
728
/* Line up pointers */
729
" mov %1, %0;"
730
" mov %2, %1;"
731
732
/* Wrap the result back into the field */
733
734
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
735
" mov $38, %%rdx;"
736
" mulxq 32(%0), %%r8, %%r13;"
737
" xor %%ecx, %%ecx;"
738
" adoxq 0(%0), %%r8;"
739
" mulxq 40(%0), %%r9, %%rbx;"
740
" adcx %%r13, %%r9;"
741
" adoxq 8(%0), %%r9;"
742
" mulxq 48(%0), %%r10, %%r13;"
743
" adcx %%rbx, %%r10;"
744
" adoxq 16(%0), %%r10;"
745
" mulxq 56(%0), %%r11, %%rax;"
746
" adcx %%r13, %%r11;"
747
" adoxq 24(%0), %%r11;"
748
" adcx %%rcx, %%rax;"
749
" adox %%rcx, %%rax;"
750
" imul %%rdx, %%rax;"
751
752
/* Step 2: Fold the carry back into dst */
753
" add %%rax, %%r8;"
754
" adcx %%rcx, %%r9;"
755
" movq %%r9, 8(%1);"
756
" adcx %%rcx, %%r10;"
757
" movq %%r10, 16(%1);"
758
" adcx %%rcx, %%r11;"
759
" movq %%r11, 24(%1);"
760
761
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
762
" mov $0, %%rax;"
763
" cmovc %%rdx, %%rax;"
764
" add %%rax, %%r8;"
765
" movq %%r8, 0(%1);"
766
: "+&r"(f), "+&r"(tmp)
767
: "r"(out)
768
: "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11",
769
"%r13", "%r14", "%r15", "memory", "cc");
770
}
771
772
/* Computes two field squarings:
773
* out[0] <- f[0] * f[0]
774
* out[1] <- f[1] * f[1]
775
* Uses the 16-element buffer tmp for intermediate results */
776
static inline void fsqr2(u64 *out, const u64 *f, u64 *tmp)
777
{
778
asm volatile(
779
/* Step 1: Compute all partial products */
780
" movq 0(%0), %%rdx;" /* f[0] */
781
" mulxq 8(%0), %%r8, %%r14;"
782
" xor %%r15d, %%r15d;" /* f[1]*f[0] */
783
" mulxq 16(%0), %%r9, %%r10;"
784
" adcx %%r14, %%r9;" /* f[2]*f[0] */
785
" mulxq 24(%0), %%rax, %%rcx;"
786
" adcx %%rax, %%r10;" /* f[3]*f[0] */
787
" movq 24(%0), %%rdx;" /* f[3] */
788
" mulxq 8(%0), %%r11, %%rbx;"
789
" adcx %%rcx, %%r11;" /* f[1]*f[3] */
790
" mulxq 16(%0), %%rax, %%r13;"
791
" adcx %%rax, %%rbx;" /* f[2]*f[3] */
792
" movq 8(%0), %%rdx;"
793
" adcx %%r15, %%r13;" /* f1 */
794
" mulxq 16(%0), %%rax, %%rcx;"
795
" mov $0, %%r14;" /* f[2]*f[1] */
796
797
/* Step 2: Compute two parallel carry chains */
798
" xor %%r15d, %%r15d;"
799
" adox %%rax, %%r10;"
800
" adcx %%r8, %%r8;"
801
" adox %%rcx, %%r11;"
802
" adcx %%r9, %%r9;"
803
" adox %%r15, %%rbx;"
804
" adcx %%r10, %%r10;"
805
" adox %%r15, %%r13;"
806
" adcx %%r11, %%r11;"
807
" adox %%r15, %%r14;"
808
" adcx %%rbx, %%rbx;"
809
" adcx %%r13, %%r13;"
810
" adcx %%r14, %%r14;"
811
812
/* Step 3: Compute intermediate squares */
813
" movq 0(%0), %%rdx;"
814
" mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
815
" movq %%rax, 0(%1);"
816
" add %%rcx, %%r8;"
817
" movq %%r8, 8(%1);"
818
" movq 8(%0), %%rdx;"
819
" mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
820
" adcx %%rax, %%r9;"
821
" movq %%r9, 16(%1);"
822
" adcx %%rcx, %%r10;"
823
" movq %%r10, 24(%1);"
824
" movq 16(%0), %%rdx;"
825
" mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
826
" adcx %%rax, %%r11;"
827
" movq %%r11, 32(%1);"
828
" adcx %%rcx, %%rbx;"
829
" movq %%rbx, 40(%1);"
830
" movq 24(%0), %%rdx;"
831
" mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
832
" adcx %%rax, %%r13;"
833
" movq %%r13, 48(%1);"
834
" adcx %%rcx, %%r14;"
835
" movq %%r14, 56(%1);"
836
837
/* Step 1: Compute all partial products */
838
" movq 32(%0), %%rdx;" /* f[0] */
839
" mulxq 40(%0), %%r8, %%r14;"
840
" xor %%r15d, %%r15d;" /* f[1]*f[0] */
841
" mulxq 48(%0), %%r9, %%r10;"
842
" adcx %%r14, %%r9;" /* f[2]*f[0] */
843
" mulxq 56(%0), %%rax, %%rcx;"
844
" adcx %%rax, %%r10;" /* f[3]*f[0] */
845
" movq 56(%0), %%rdx;" /* f[3] */
846
" mulxq 40(%0), %%r11, %%rbx;"
847
" adcx %%rcx, %%r11;" /* f[1]*f[3] */
848
" mulxq 48(%0), %%rax, %%r13;"
849
" adcx %%rax, %%rbx;" /* f[2]*f[3] */
850
" movq 40(%0), %%rdx;"
851
" adcx %%r15, %%r13;" /* f1 */
852
" mulxq 48(%0), %%rax, %%rcx;"
853
" mov $0, %%r14;" /* f[2]*f[1] */
854
855
/* Step 2: Compute two parallel carry chains */
856
" xor %%r15d, %%r15d;"
857
" adox %%rax, %%r10;"
858
" adcx %%r8, %%r8;"
859
" adox %%rcx, %%r11;"
860
" adcx %%r9, %%r9;"
861
" adox %%r15, %%rbx;"
862
" adcx %%r10, %%r10;"
863
" adox %%r15, %%r13;"
864
" adcx %%r11, %%r11;"
865
" adox %%r15, %%r14;"
866
" adcx %%rbx, %%rbx;"
867
" adcx %%r13, %%r13;"
868
" adcx %%r14, %%r14;"
869
870
/* Step 3: Compute intermediate squares */
871
" movq 32(%0), %%rdx;"
872
" mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
873
" movq %%rax, 64(%1);"
874
" add %%rcx, %%r8;"
875
" movq %%r8, 72(%1);"
876
" movq 40(%0), %%rdx;"
877
" mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
878
" adcx %%rax, %%r9;"
879
" movq %%r9, 80(%1);"
880
" adcx %%rcx, %%r10;"
881
" movq %%r10, 88(%1);"
882
" movq 48(%0), %%rdx;"
883
" mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
884
" adcx %%rax, %%r11;"
885
" movq %%r11, 96(%1);"
886
" adcx %%rcx, %%rbx;"
887
" movq %%rbx, 104(%1);"
888
" movq 56(%0), %%rdx;"
889
" mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
890
" adcx %%rax, %%r13;"
891
" movq %%r13, 112(%1);"
892
" adcx %%rcx, %%r14;"
893
" movq %%r14, 120(%1);"
894
895
/* Line up pointers */
896
" mov %1, %0;"
897
" mov %2, %1;"
898
899
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
900
" mov $38, %%rdx;"
901
" mulxq 32(%0), %%r8, %%r13;"
902
" xor %%ecx, %%ecx;"
903
" adoxq 0(%0), %%r8;"
904
" mulxq 40(%0), %%r9, %%rbx;"
905
" adcx %%r13, %%r9;"
906
" adoxq 8(%0), %%r9;"
907
" mulxq 48(%0), %%r10, %%r13;"
908
" adcx %%rbx, %%r10;"
909
" adoxq 16(%0), %%r10;"
910
" mulxq 56(%0), %%r11, %%rax;"
911
" adcx %%r13, %%r11;"
912
" adoxq 24(%0), %%r11;"
913
" adcx %%rcx, %%rax;"
914
" adox %%rcx, %%rax;"
915
" imul %%rdx, %%rax;"
916
917
/* Step 2: Fold the carry back into dst */
918
" add %%rax, %%r8;"
919
" adcx %%rcx, %%r9;"
920
" movq %%r9, 8(%1);"
921
" adcx %%rcx, %%r10;"
922
" movq %%r10, 16(%1);"
923
" adcx %%rcx, %%r11;"
924
" movq %%r11, 24(%1);"
925
926
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
927
" mov $0, %%rax;"
928
" cmovc %%rdx, %%rax;"
929
" add %%rax, %%r8;"
930
" movq %%r8, 0(%1);"
931
932
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
933
" mov $38, %%rdx;"
934
" mulxq 96(%0), %%r8, %%r13;"
935
" xor %%ecx, %%ecx;"
936
" adoxq 64(%0), %%r8;"
937
" mulxq 104(%0), %%r9, %%rbx;"
938
" adcx %%r13, %%r9;"
939
" adoxq 72(%0), %%r9;"
940
" mulxq 112(%0), %%r10, %%r13;"
941
" adcx %%rbx, %%r10;"
942
" adoxq 80(%0), %%r10;"
943
" mulxq 120(%0), %%r11, %%rax;"
944
" adcx %%r13, %%r11;"
945
" adoxq 88(%0), %%r11;"
946
" adcx %%rcx, %%rax;"
947
" adox %%rcx, %%rax;"
948
" imul %%rdx, %%rax;"
949
950
/* Step 2: Fold the carry back into dst */
951
" add %%rax, %%r8;"
952
" adcx %%rcx, %%r9;"
953
" movq %%r9, 40(%1);"
954
" adcx %%rcx, %%r10;"
955
" movq %%r10, 48(%1);"
956
" adcx %%rcx, %%r11;"
957
" movq %%r11, 56(%1);"
958
959
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
960
" mov $0, %%rax;"
961
" cmovc %%rdx, %%rax;"
962
" add %%rax, %%r8;"
963
" movq %%r8, 32(%1);"
964
: "+&r"(f), "+&r"(tmp)
965
: "r"(out)
966
: "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11",
967
"%r13", "%r14", "%r15", "memory", "cc");
968
}
969
970
static void point_add_and_double(u64 *q, u64 *p01_tmp1, u64 *tmp2)
971
{
972
u64 *nq = p01_tmp1;
973
u64 *nq_p1 = p01_tmp1 + (u32)8U;
974
u64 *tmp1 = p01_tmp1 + (u32)16U;
975
u64 *x1 = q;
976
u64 *x2 = nq;
977
u64 *z2 = nq + (u32)4U;
978
u64 *z3 = nq_p1 + (u32)4U;
979
u64 *a = tmp1;
980
u64 *b = tmp1 + (u32)4U;
981
u64 *ab = tmp1;
982
u64 *dc = tmp1 + (u32)8U;
983
u64 *x3;
984
u64 *z31;
985
u64 *d0;
986
u64 *c0;
987
u64 *a1;
988
u64 *b1;
989
u64 *d;
990
u64 *c;
991
u64 *ab1;
992
u64 *dc1;
993
fadd(a, x2, z2);
994
fsub(b, x2, z2);
995
x3 = nq_p1;
996
z31 = nq_p1 + (u32)4U;
997
d0 = dc;
998
c0 = dc + (u32)4U;
999
fadd(c0, x3, z31);
1000
fsub(d0, x3, z31);
1001
fmul2(dc, dc, ab, tmp2);
1002
fadd(x3, d0, c0);
1003
fsub(z31, d0, c0);
1004
a1 = tmp1;
1005
b1 = tmp1 + (u32)4U;
1006
d = tmp1 + (u32)8U;
1007
c = tmp1 + (u32)12U;
1008
ab1 = tmp1;
1009
dc1 = tmp1 + (u32)8U;
1010
fsqr2(dc1, ab1, tmp2);
1011
fsqr2(nq_p1, nq_p1, tmp2);
1012
a1[0U] = c[0U];
1013
a1[1U] = c[1U];
1014
a1[2U] = c[2U];
1015
a1[3U] = c[3U];
1016
fsub(c, d, c);
1017
fmul_scalar(b1, c, (u64)121665U);
1018
fadd(b1, b1, d);
1019
fmul2(nq, dc1, ab1, tmp2);
1020
fmul(z3, z3, x1, tmp2);
1021
}
1022
1023
static void point_double(u64 *nq, u64 *tmp1, u64 *tmp2)
1024
{
1025
u64 *x2 = nq;
1026
u64 *z2 = nq + (u32)4U;
1027
u64 *a = tmp1;
1028
u64 *b = tmp1 + (u32)4U;
1029
u64 *d = tmp1 + (u32)8U;
1030
u64 *c = tmp1 + (u32)12U;
1031
u64 *ab = tmp1;
1032
u64 *dc = tmp1 + (u32)8U;
1033
fadd(a, x2, z2);
1034
fsub(b, x2, z2);
1035
fsqr2(dc, ab, tmp2);
1036
a[0U] = c[0U];
1037
a[1U] = c[1U];
1038
a[2U] = c[2U];
1039
a[3U] = c[3U];
1040
fsub(c, d, c);
1041
fmul_scalar(b, c, (u64)121665U);
1042
fadd(b, b, d);
1043
fmul2(nq, dc, ab, tmp2);
1044
}
1045
1046
static void montgomery_ladder(u64 *out, const u8 *key, u64 *init1)
1047
{
1048
u64 tmp2[16U] = { 0U };
1049
u64 p01_tmp1_swap[33U] = { 0U };
1050
u64 *p0 = p01_tmp1_swap;
1051
u64 *p01 = p01_tmp1_swap;
1052
u64 *p03 = p01;
1053
u64 *p11 = p01 + (u32)8U;
1054
u64 *x0;
1055
u64 *z0;
1056
u64 *p01_tmp1;
1057
u64 *p01_tmp11;
1058
u64 *nq10;
1059
u64 *nq_p11;
1060
u64 *swap1;
1061
u64 sw0;
1062
u64 *nq1;
1063
u64 *tmp1;
1064
memcpy(p11, init1, (u32)8U * sizeof(init1[0U]));
1065
x0 = p03;
1066
z0 = p03 + (u32)4U;
1067
x0[0U] = (u64)1U;
1068
x0[1U] = (u64)0U;
1069
x0[2U] = (u64)0U;
1070
x0[3U] = (u64)0U;
1071
z0[0U] = (u64)0U;
1072
z0[1U] = (u64)0U;
1073
z0[2U] = (u64)0U;
1074
z0[3U] = (u64)0U;
1075
p01_tmp1 = p01_tmp1_swap;
1076
p01_tmp11 = p01_tmp1_swap;
1077
nq10 = p01_tmp1_swap;
1078
nq_p11 = p01_tmp1_swap + (u32)8U;
1079
swap1 = p01_tmp1_swap + (u32)32U;
1080
cswap2((u64)1U, nq10, nq_p11);
1081
point_add_and_double(init1, p01_tmp11, tmp2);
1082
swap1[0U] = (u64)1U;
1083
{
1084
u32 i;
1085
for (i = (u32)0U; i < (u32)251U; i = i + (u32)1U) {
1086
u64 *p01_tmp12 = p01_tmp1_swap;
1087
u64 *swap2 = p01_tmp1_swap + (u32)32U;
1088
u64 *nq2 = p01_tmp12;
1089
u64 *nq_p12 = p01_tmp12 + (u32)8U;
1090
u64 bit = (u64)(key[((u32)253U - i) / (u32)8U] >> ((u32)253U - i) % (u32)8U & (u8)1U);
1091
u64 sw = swap2[0U] ^ bit;
1092
cswap2(sw, nq2, nq_p12);
1093
point_add_and_double(init1, p01_tmp12, tmp2);
1094
swap2[0U] = bit;
1095
}
1096
}
1097
sw0 = swap1[0U];
1098
cswap2(sw0, nq10, nq_p11);
1099
nq1 = p01_tmp1;
1100
tmp1 = p01_tmp1 + (u32)16U;
1101
point_double(nq1, tmp1, tmp2);
1102
point_double(nq1, tmp1, tmp2);
1103
point_double(nq1, tmp1, tmp2);
1104
memcpy(out, p0, (u32)8U * sizeof(p0[0U]));
1105
1106
memzero_explicit(tmp2, sizeof(tmp2));
1107
memzero_explicit(p01_tmp1_swap, sizeof(p01_tmp1_swap));
1108
}
1109
1110
static void fsquare_times(u64 *o, const u64 *inp, u64 *tmp, u32 n1)
1111
{
1112
u32 i;
1113
fsqr(o, inp, tmp);
1114
for (i = (u32)0U; i < n1 - (u32)1U; i = i + (u32)1U)
1115
fsqr(o, o, tmp);
1116
}
1117
1118
static void finv(u64 *o, const u64 *i, u64 *tmp)
1119
{
1120
u64 t1[16U] = { 0U };
1121
u64 *a0 = t1;
1122
u64 *b = t1 + (u32)4U;
1123
u64 *c = t1 + (u32)8U;
1124
u64 *t00 = t1 + (u32)12U;
1125
u64 *tmp1 = tmp;
1126
u64 *a;
1127
u64 *t0;
1128
fsquare_times(a0, i, tmp1, (u32)1U);
1129
fsquare_times(t00, a0, tmp1, (u32)2U);
1130
fmul(b, t00, i, tmp);
1131
fmul(a0, b, a0, tmp);
1132
fsquare_times(t00, a0, tmp1, (u32)1U);
1133
fmul(b, t00, b, tmp);
1134
fsquare_times(t00, b, tmp1, (u32)5U);
1135
fmul(b, t00, b, tmp);
1136
fsquare_times(t00, b, tmp1, (u32)10U);
1137
fmul(c, t00, b, tmp);
1138
fsquare_times(t00, c, tmp1, (u32)20U);
1139
fmul(t00, t00, c, tmp);
1140
fsquare_times(t00, t00, tmp1, (u32)10U);
1141
fmul(b, t00, b, tmp);
1142
fsquare_times(t00, b, tmp1, (u32)50U);
1143
fmul(c, t00, b, tmp);
1144
fsquare_times(t00, c, tmp1, (u32)100U);
1145
fmul(t00, t00, c, tmp);
1146
fsquare_times(t00, t00, tmp1, (u32)50U);
1147
fmul(t00, t00, b, tmp);
1148
fsquare_times(t00, t00, tmp1, (u32)5U);
1149
a = t1;
1150
t0 = t1 + (u32)12U;
1151
fmul(o, t0, a, tmp);
1152
}
1153
1154
static void store_felem(u64 *b, u64 *f)
1155
{
1156
u64 f30 = f[3U];
1157
u64 top_bit0 = f30 >> (u32)63U;
1158
u64 f31;
1159
u64 top_bit;
1160
u64 f0;
1161
u64 f1;
1162
u64 f2;
1163
u64 f3;
1164
u64 m0;
1165
u64 m1;
1166
u64 m2;
1167
u64 m3;
1168
u64 mask;
1169
u64 f0_;
1170
u64 f1_;
1171
u64 f2_;
1172
u64 f3_;
1173
u64 o0;
1174
u64 o1;
1175
u64 o2;
1176
u64 o3;
1177
f[3U] = f30 & (u64)0x7fffffffffffffffU;
1178
add_scalar(f, f, (u64)19U * top_bit0);
1179
f31 = f[3U];
1180
top_bit = f31 >> (u32)63U;
1181
f[3U] = f31 & (u64)0x7fffffffffffffffU;
1182
add_scalar(f, f, (u64)19U * top_bit);
1183
f0 = f[0U];
1184
f1 = f[1U];
1185
f2 = f[2U];
1186
f3 = f[3U];
1187
m0 = gte_mask(f0, (u64)0xffffffffffffffedU);
1188
m1 = eq_mask(f1, (u64)0xffffffffffffffffU);
1189
m2 = eq_mask(f2, (u64)0xffffffffffffffffU);
1190
m3 = eq_mask(f3, (u64)0x7fffffffffffffffU);
1191
mask = ((m0 & m1) & m2) & m3;
1192
f0_ = f0 - (mask & (u64)0xffffffffffffffedU);
1193
f1_ = f1 - (mask & (u64)0xffffffffffffffffU);
1194
f2_ = f2 - (mask & (u64)0xffffffffffffffffU);
1195
f3_ = f3 - (mask & (u64)0x7fffffffffffffffU);
1196
o0 = f0_;
1197
o1 = f1_;
1198
o2 = f2_;
1199
o3 = f3_;
1200
b[0U] = o0;
1201
b[1U] = o1;
1202
b[2U] = o2;
1203
b[3U] = o3;
1204
}
1205
1206
static void encode_point(u8 *o, const u64 *i)
1207
{
1208
const u64 *x = i;
1209
const u64 *z = i + (u32)4U;
1210
u64 tmp[4U] = { 0U };
1211
u64 tmp_w[16U] = { 0U };
1212
finv(tmp, z, tmp_w);
1213
fmul(tmp, tmp, x, tmp_w);
1214
store_felem((u64 *)o, tmp);
1215
}
1216
1217
static void curve25519_ever64(u8 *out, const u8 *priv, const u8 *pub)
1218
{
1219
u64 init1[8U] = { 0U };
1220
u64 tmp[4U] = { 0U };
1221
u64 tmp3;
1222
u64 *x;
1223
u64 *z;
1224
{
1225
u32 i;
1226
for (i = (u32)0U; i < (u32)4U; i = i + (u32)1U) {
1227
u64 *os = tmp;
1228
const u8 *bj = pub + i * (u32)8U;
1229
u64 u = *(u64 *)bj;
1230
u64 r = u;
1231
u64 x0 = r;
1232
os[i] = x0;
1233
}
1234
}
1235
tmp3 = tmp[3U];
1236
tmp[3U] = tmp3 & (u64)0x7fffffffffffffffU;
1237
x = init1;
1238
z = init1 + (u32)4U;
1239
z[0U] = (u64)1U;
1240
z[1U] = (u64)0U;
1241
z[2U] = (u64)0U;
1242
z[3U] = (u64)0U;
1243
x[0U] = tmp[0U];
1244
x[1U] = tmp[1U];
1245
x[2U] = tmp[2U];
1246
x[3U] = tmp[3U];
1247
montgomery_ladder(init1, priv, init1);
1248
encode_point(out, init1);
1249
}
1250
1251
/* The below constants were generated using this sage script:
1252
*
1253
* #!/usr/bin/env sage
1254
* import sys
1255
* from sage.all import *
1256
* def limbs(n):
1257
* n = int(n)
1258
* l = ((n >> 0) % 2^64, (n >> 64) % 2^64, (n >> 128) % 2^64, (n >> 192) % 2^64)
1259
* return "0x%016xULL, 0x%016xULL, 0x%016xULL, 0x%016xULL" % l
1260
* ec = EllipticCurve(GF(2^255 - 19), [0, 486662, 0, 1, 0])
1261
* p_minus_s = (ec.lift_x(9) - ec.lift_x(1))[0]
1262
* print("static const u64 p_minus_s[] = { %s };\n" % limbs(p_minus_s))
1263
* print("static const u64 table_ladder[] = {")
1264
* p = ec.lift_x(9)
1265
* for i in range(252):
1266
* l = (p[0] + p[2]) / (p[0] - p[2])
1267
* print(("\t%s" + ("," if i != 251 else "")) % limbs(l))
1268
* p = p * 2
1269
* print("};")
1270
*
1271
*/
1272
1273
static const u64 p_minus_s[] = { 0x816b1e0137d48290ULL, 0x440f6a51eb4d1207ULL, 0x52385f46dca2b71dULL, 0x215132111d8354cbULL };
1274
1275
static const u64 table_ladder[] = {
1276
0xfffffffffffffff3ULL, 0xffffffffffffffffULL, 0xffffffffffffffffULL, 0x5fffffffffffffffULL,
1277
0x6b8220f416aafe96ULL, 0x82ebeb2b4f566a34ULL, 0xd5a9a5b075a5950fULL, 0x5142b2cf4b2488f4ULL,
1278
0x6aaebc750069680cULL, 0x89cf7820a0f99c41ULL, 0x2a58d9183b56d0f4ULL, 0x4b5aca80e36011a4ULL,
1279
0x329132348c29745dULL, 0xf4a2e616e1642fd7ULL, 0x1e45bb03ff67bc34ULL, 0x306912d0f42a9b4aULL,
1280
0xff886507e6af7154ULL, 0x04f50e13dfeec82fULL, 0xaa512fe82abab5ceULL, 0x174e251a68d5f222ULL,
1281
0xcf96700d82028898ULL, 0x1743e3370a2c02c5ULL, 0x379eec98b4e86eaaULL, 0x0c59888a51e0482eULL,
1282
0xfbcbf1d699b5d189ULL, 0xacaef0d58e9fdc84ULL, 0xc1c20d06231f7614ULL, 0x2938218da274f972ULL,
1283
0xf6af49beff1d7f18ULL, 0xcc541c22387ac9c2ULL, 0x96fcc9ef4015c56bULL, 0x69c1627c690913a9ULL,
1284
0x7a86fd2f4733db0eULL, 0xfdb8c4f29e087de9ULL, 0x095e4b1a8ea2a229ULL, 0x1ad7a7c829b37a79ULL,
1285
0x342d89cad17ea0c0ULL, 0x67bedda6cced2051ULL, 0x19ca31bf2bb42f74ULL, 0x3df7b4c84980acbbULL,
1286
0xa8c6444dc80ad883ULL, 0xb91e440366e3ab85ULL, 0xc215cda00164f6d8ULL, 0x3d867c6ef247e668ULL,
1287
0xc7dd582bcc3e658cULL, 0xfd2c4748ee0e5528ULL, 0xa0fd9b95cc9f4f71ULL, 0x7529d871b0675ddfULL,
1288
0xb8f568b42d3cbd78ULL, 0x1233011b91f3da82ULL, 0x2dce6ccd4a7c3b62ULL, 0x75e7fc8e9e498603ULL,
1289
0x2f4f13f1fcd0b6ecULL, 0xf1a8ca1f29ff7a45ULL, 0xc249c1a72981e29bULL, 0x6ebe0dbb8c83b56aULL,
1290
0x7114fa8d170bb222ULL, 0x65a2dcd5bf93935fULL, 0xbdc41f68b59c979aULL, 0x2f0eef79a2ce9289ULL,
1291
0x42ecbf0c083c37ceULL, 0x2930bc09ec496322ULL, 0xf294b0c19cfeac0dULL, 0x3780aa4bedfabb80ULL,
1292
0x56c17d3e7cead929ULL, 0xe7cb4beb2e5722c5ULL, 0x0ce931732dbfe15aULL, 0x41b883c7621052f8ULL,
1293
0xdbf75ca0c3d25350ULL, 0x2936be086eb1e351ULL, 0xc936e03cb4a9b212ULL, 0x1d45bf82322225aaULL,
1294
0xe81ab1036a024cc5ULL, 0xe212201c304c9a72ULL, 0xc5d73fba6832b1fcULL, 0x20ffdb5a4d839581ULL,
1295
0xa283d367be5d0fadULL, 0x6c2b25ca8b164475ULL, 0x9d4935467caaf22eULL, 0x5166408eee85ff49ULL,
1296
0x3c67baa2fab4e361ULL, 0xb3e433c67ef35cefULL, 0x5259729241159b1cULL, 0x6a621892d5b0ab33ULL,
1297
0x20b74a387555cdcbULL, 0x532aa10e1208923fULL, 0xeaa17b7762281dd1ULL, 0x61ab3443f05c44bfULL,
1298
0x257a6c422324def8ULL, 0x131c6c1017e3cf7fULL, 0x23758739f630a257ULL, 0x295a407a01a78580ULL,
1299
0xf8c443246d5da8d9ULL, 0x19d775450c52fa5dULL, 0x2afcfc92731bf83dULL, 0x7d10c8e81b2b4700ULL,
1300
0xc8e0271f70baa20bULL, 0x993748867ca63957ULL, 0x5412efb3cb7ed4bbULL, 0x3196d36173e62975ULL,
1301
0xde5bcad141c7dffcULL, 0x47cc8cd2b395c848ULL, 0xa34cd942e11af3cbULL, 0x0256dbf2d04ecec2ULL,
1302
0x875ab7e94b0e667fULL, 0xcad4dd83c0850d10ULL, 0x47f12e8f4e72c79fULL, 0x5f1a87bb8c85b19bULL,
1303
0x7ae9d0b6437f51b8ULL, 0x12c7ce5518879065ULL, 0x2ade09fe5cf77aeeULL, 0x23a05a2f7d2c5627ULL,
1304
0x5908e128f17c169aULL, 0xf77498dd8ad0852dULL, 0x74b4c4ceab102f64ULL, 0x183abadd10139845ULL,
1305
0xb165ba8daa92aaacULL, 0xd5c5ef9599386705ULL, 0xbe2f8f0cf8fc40d1ULL, 0x2701e635ee204514ULL,
1306
0x629fa80020156514ULL, 0xf223868764a8c1ceULL, 0x5b894fff0b3f060eULL, 0x60d9944cf708a3faULL,
1307
0xaeea001a1c7a201fULL, 0xebf16a633ee2ce63ULL, 0x6f7709594c7a07e1ULL, 0x79b958150d0208cbULL,
1308
0x24b55e5301d410e7ULL, 0xe3a34edff3fdc84dULL, 0xd88768e4904032d8ULL, 0x131384427b3aaeecULL,
1309
0x8405e51286234f14ULL, 0x14dc4739adb4c529ULL, 0xb8a2b5b250634ffdULL, 0x2fe2a94ad8a7ff93ULL,
1310
0xec5c57efe843faddULL, 0x2843ce40f0bb9918ULL, 0xa4b561d6cf3d6305ULL, 0x743629bde8fb777eULL,
1311
0x343edd46bbaf738fULL, 0xed981828b101a651ULL, 0xa401760b882c797aULL, 0x1fc223e28dc88730ULL,
1312
0x48604e91fc0fba0eULL, 0xb637f78f052c6fa4ULL, 0x91ccac3d09e9239cULL, 0x23f7eed4437a687cULL,
1313
0x5173b1118d9bd800ULL, 0x29d641b63189d4a7ULL, 0xfdbf177988bbc586ULL, 0x2959894fcad81df5ULL,
1314
0xaebc8ef3b4bbc899ULL, 0x4148995ab26992b9ULL, 0x24e20b0134f92cfbULL, 0x40d158894a05dee8ULL,
1315
0x46b00b1185af76f6ULL, 0x26bac77873187a79ULL, 0x3dc0bf95ab8fff5fULL, 0x2a608bd8945524d7ULL,
1316
0x26449588bd446302ULL, 0x7c4bc21c0388439cULL, 0x8e98a4f383bd11b2ULL, 0x26218d7bc9d876b9ULL,
1317
0xe3081542997c178aULL, 0x3c2d29a86fb6606fULL, 0x5c217736fa279374ULL, 0x7dde05734afeb1faULL,
1318
0x3bf10e3906d42babULL, 0xe4f7803e1980649cULL, 0xe6053bf89595bf7aULL, 0x394faf38da245530ULL,
1319
0x7a8efb58896928f4ULL, 0xfbc778e9cc6a113cULL, 0x72670ce330af596fULL, 0x48f222a81d3d6cf7ULL,
1320
0xf01fce410d72caa7ULL, 0x5a20ecc7213b5595ULL, 0x7bc21165c1fa1483ULL, 0x07f89ae31da8a741ULL,
1321
0x05d2c2b4c6830ff9ULL, 0xd43e330fc6316293ULL, 0xa5a5590a96d3a904ULL, 0x705edb91a65333b6ULL,
1322
0x048ee15e0bb9a5f7ULL, 0x3240cfca9e0aaf5dULL, 0x8f4b71ceedc4a40bULL, 0x621c0da3de544a6dULL,
1323
0x92872836a08c4091ULL, 0xce8375b010c91445ULL, 0x8a72eb524f276394ULL, 0x2667fcfa7ec83635ULL,
1324
0x7f4c173345e8752aULL, 0x061b47feee7079a5ULL, 0x25dd9afa9f86ff34ULL, 0x3780cef5425dc89cULL,
1325
0x1a46035a513bb4e9ULL, 0x3e1ef379ac575adaULL, 0xc78c5f1c5fa24b50ULL, 0x321a967634fd9f22ULL,
1326
0x946707b8826e27faULL, 0x3dca84d64c506fd0ULL, 0xc189218075e91436ULL, 0x6d9284169b3b8484ULL,
1327
0x3a67e840383f2ddfULL, 0x33eec9a30c4f9b75ULL, 0x3ec7c86fa783ef47ULL, 0x26ec449fbac9fbc4ULL,
1328
0x5c0f38cba09b9e7dULL, 0x81168cc762a3478cULL, 0x3e23b0d306fc121cULL, 0x5a238aa0a5efdcddULL,
1329
0x1ba26121c4ea43ffULL, 0x36f8c77f7c8832b5ULL, 0x88fbea0b0adcf99aULL, 0x5ca9938ec25bebf9ULL,
1330
0xd5436a5e51fccda0ULL, 0x1dbc4797c2cd893bULL, 0x19346a65d3224a08ULL, 0x0f5034e49b9af466ULL,
1331
0xf23c3967a1e0b96eULL, 0xe58b08fa867a4d88ULL, 0xfb2fabc6a7341679ULL, 0x2a75381eb6026946ULL,
1332
0xc80a3be4c19420acULL, 0x66b1f6c681f2b6dcULL, 0x7cf7036761e93388ULL, 0x25abbbd8a660a4c4ULL,
1333
0x91ea12ba14fd5198ULL, 0x684950fc4a3cffa9ULL, 0xf826842130f5ad28ULL, 0x3ea988f75301a441ULL,
1334
0xc978109a695f8c6fULL, 0x1746eb4a0530c3f3ULL, 0x444d6d77b4459995ULL, 0x75952b8c054e5cc7ULL,
1335
0xa3703f7915f4d6aaULL, 0x66c346202f2647d8ULL, 0xd01469df811d644bULL, 0x77fea47d81a5d71fULL,
1336
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1365
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1369
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1370
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1371
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1372
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1373
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1374
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1375
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1376
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1377
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1378
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1379
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1380
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1381
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1382
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1383
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1384
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1385
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1386
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1387
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1388
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1389
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1390
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1391
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1392
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1393
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1394
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1395
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1396
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1397
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1398
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1399
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1400
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1401
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1402
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1403
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1404
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1405
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1406
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1407
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1408
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1409
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1410
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1411
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1412
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1413
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1414
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1415
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1416
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1417
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1418
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1419
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1420
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1421
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1422
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1423
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1424
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1425
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1426
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1427
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1428
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1429
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1430
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1431
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1432
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1433
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1434
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1435
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1436
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1437
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1438
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1439
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1440
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1441
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1442
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1443
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1444
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1445
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1446
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1447
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1448
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1449
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1450
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1451
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1452
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1453
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1454
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1455
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1456
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1457
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1458
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1459
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1460
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1461
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1462
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1463
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1464
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1465
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1466
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1467
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1468
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1469
0xa57e7e265ce55ef0ULL, 0x5d9f4e527cd4b967ULL, 0xfbc83606492fd1e5ULL, 0x090d52beb7c3f7aeULL,
1470
0x09b9515a1e7b4d7cULL, 0x1f266a2599da44c0ULL, 0xa1c49548e2c55504ULL, 0x7ef04287126f15ccULL,
1471
0xfed1659dbd30ef15ULL, 0x8b4ab9eec4e0277bULL, 0x884d6236a5df3291ULL, 0x1fd96ea6bf5cf788ULL,
1472
0x42a161981f190d9aULL, 0x61d849507e6052c1ULL, 0x9fe113bf285a2cd5ULL, 0x7c22d676dbad85d8ULL,
1473
0x82e770ed2bfbd27dULL, 0x4c05b2ece996f5a5ULL, 0xcd40a9c2b0900150ULL, 0x5895319213d9bf64ULL,
1474
0xe7cc5d703fea2e08ULL, 0xb50c491258e2188cULL, 0xcce30baa48205bf0ULL, 0x537c659ccfa32d62ULL,
1475
0x37b6623a98cfc088ULL, 0xfe9bed1fa4d6aca4ULL, 0x04d29b8e56a8d1b0ULL, 0x725f71c40b519575ULL,
1476
0x28c7f89cd0339ce6ULL, 0x8367b14469ddc18bULL, 0x883ada83a6a1652cULL, 0x585f1974034d6c17ULL,
1477
0x89cfb266f1b19188ULL, 0xe63b4863e7c35217ULL, 0xd88c9da6b4c0526aULL, 0x3e035c9df0954635ULL,
1478
0xdd9d5412fb45de9dULL, 0xdd684532e4cff40dULL, 0x4b5c999b151d671cULL, 0x2d8c2cc811e7f690ULL,
1479
0x7f54be1d90055d40ULL, 0xa464c5df464aaf40ULL, 0x33979624f0e917beULL, 0x2c018dc527356b30ULL,
1480
0xa5415024e330b3d4ULL, 0x73ff3d96691652d3ULL, 0x94ec42c4ef9b59f1ULL, 0x0747201618d08e5aULL,
1481
0x4d6ca48aca411c53ULL, 0x66415f2fcfa66119ULL, 0x9c4dd40051e227ffULL, 0x59810bc09a02f7ebULL,
1482
0x2a7eb171b3dc101dULL, 0x441c5ab99ffef68eULL, 0x32025c9b93b359eaULL, 0x5e8ce0a71e9d112fULL,
1483
0xbfcccb92429503fdULL, 0xd271ba752f095d55ULL, 0x345ead5e972d091eULL, 0x18c8df11a83103baULL,
1484
0x90cd949a9aed0f4cULL, 0xc5d1f4cb6660e37eULL, 0xb8cac52d56c52e0bULL, 0x6e42e400c5808e0dULL,
1485
0xa3b46966eeaefd23ULL, 0x0c4f1f0be39ecdcaULL, 0x189dc8c9d683a51dULL, 0x51f27f054c09351bULL,
1486
0x4c487ccd2a320682ULL, 0x587ea95bb3df1c96ULL, 0xc8ccf79e555cb8e8ULL, 0x547dc829a206d73dULL,
1487
0xb822a6cd80c39b06ULL, 0xe96d54732000d4c6ULL, 0x28535b6f91463b4dULL, 0x228f4660e2486e1dULL,
1488
0x98799538de8d3abfULL, 0x8cd8330045ebca6eULL, 0x79952a008221e738ULL, 0x4322e1a7535cd2bbULL,
1489
0xb114c11819d1801cULL, 0x2016e4d84f3f5ec7ULL, 0xdd0e2df409260f4cULL, 0x5ec362c0ae5f7266ULL,
1490
0xc0462b18b8b2b4eeULL, 0x7cc8d950274d1afbULL, 0xf25f7105436b02d2ULL, 0x43bbf8dcbff9ccd3ULL,
1491
0xb6ad1767a039e9dfULL, 0xb0714da8f69d3583ULL, 0x5e55fa18b42931f5ULL, 0x4ed5558f33c60961ULL,
1492
0x1fe37901c647a5ddULL, 0x593ddf1f8081d357ULL, 0x0249a4fd813fd7a6ULL, 0x69acca274e9caf61ULL,
1493
0x047ba3ea330721c9ULL, 0x83423fc20e7e1ea0ULL, 0x1df4c0af01314a60ULL, 0x09a62dab89289527ULL,
1494
0xa5b325a49cc6cb00ULL, 0xe94b5dc654b56cb6ULL, 0x3be28779adc994a0ULL, 0x4296e8f8ba3a4aadULL,
1495
0x328689761e451eabULL, 0x2e4d598bff59594aULL, 0x49b96853d7a7084aULL, 0x4980a319601420a8ULL,
1496
0x9565b9e12f552c42ULL, 0x8a5318db7100fe96ULL, 0x05c90b4d43add0d7ULL, 0x538b4cd66a5d4edaULL,
1497
0xf4e94fc3e89f039fULL, 0x592c9af26f618045ULL, 0x08a36eb5fd4b9550ULL, 0x25fffaf6c2ed1419ULL,
1498
0x34434459cc79d354ULL, 0xeeecbfb4b1d5476bULL, 0xddeb34a061615d99ULL, 0x5129cecceb64b773ULL,
1499
0xee43215894993520ULL, 0x772f9c7cf14c0b3bULL, 0xd2e2fce306bedad5ULL, 0x715f42b546f06a97ULL,
1500
0x434ecdceda5b5f1aULL, 0x0da17115a49741a9ULL, 0x680bd77c73edad2eULL, 0x487c02354edd9041ULL,
1501
0xb8efeff3a70ed9c4ULL, 0x56a32aa3e857e302ULL, 0xdf3a68bd48a2a5a0ULL, 0x07f650b73176c444ULL,
1502
0xe38b9b1626e0ccb1ULL, 0x79e053c18b09fb36ULL, 0x56d90319c9f94964ULL, 0x1ca941e7ac9ff5c4ULL,
1503
0x49c4df29162fa0bbULL, 0x8488cf3282b33305ULL, 0x95dfda14cabb437dULL, 0x3391f78264d5ad86ULL,
1504
0x729ae06ae2b5095dULL, 0xd58a58d73259a946ULL, 0xe9834262d13921edULL, 0x27fedafaa54bb592ULL,
1505
0xa99dc5b829ad48bbULL, 0x5f025742499ee260ULL, 0x802c8ecd5d7513fdULL, 0x78ceb3ef3f6dd938ULL,
1506
0xc342f44f8a135d94ULL, 0x7b9edb44828cdda3ULL, 0x9436d11a0537cfe7ULL, 0x5064b164ec1ab4c8ULL,
1507
0x7020eccfd37eb2fcULL, 0x1f31ea3ed90d25fcULL, 0x1b930d7bdfa1bb34ULL, 0x5344467a48113044ULL,
1508
0x70073170f25e6dfbULL, 0xe385dc1a50114cc8ULL, 0x2348698ac8fc4f00ULL, 0x2a77a55284dd40d8ULL,
1509
0xfe06afe0c98c6ce4ULL, 0xc235df96dddfd6e4ULL, 0x1428d01e33bf1ed3ULL, 0x785768ec9300bdafULL,
1510
0x9702e57a91deb63bULL, 0x61bdb8bfe5ce8b80ULL, 0x645b426f3d1d58acULL, 0x4804a82227a557bcULL,
1511
0x8e57048ab44d2601ULL, 0x68d6501a4b3a6935ULL, 0xc39c9ec3f9e1c293ULL, 0x4172f257d4de63e2ULL,
1512
0xd368b450330c6401ULL, 0x040d3017418f2391ULL, 0x2c34bb6090b7d90dULL, 0x16f649228fdfd51fULL,
1513
0xbea6818e2b928ef5ULL, 0xe28ccf91cdc11e72ULL, 0x594aaa68e77a36cdULL, 0x313034806c7ffd0fULL,
1514
0x8a9d27ac2249bd65ULL, 0x19a3b464018e9512ULL, 0xc26ccff352b37ec7ULL, 0x056f68341d797b21ULL,
1515
0x5e79d6757efd2327ULL, 0xfabdbcb6553afe15ULL, 0xd3e7222c6eaf5a60ULL, 0x7046c76d4dae743bULL,
1516
0x660be872b18d4a55ULL, 0x19992518574e1496ULL, 0xc103053a302bdcbbULL, 0x3ed8e9800b218e8eULL,
1517
0x7b0b9239fa75e03eULL, 0xefe9fb684633c083ULL, 0x98a35fbe391a7793ULL, 0x6065510fe2d0fe34ULL,
1518
0x55cb668548abad0cULL, 0xb4584548da87e527ULL, 0x2c43ecea0107c1ddULL, 0x526028809372de35ULL,
1519
0x3415c56af9213b1fULL, 0x5bee1a4d017e98dbULL, 0x13f6b105b5cf709bULL, 0x5ff20e3482b29ab6ULL,
1520
0x0aa29c75cc2e6c90ULL, 0xfc7d73ca3a70e206ULL, 0x899fc38fc4b5c515ULL, 0x250386b124ffc207ULL,
1521
0x54ea28d5ae3d2b56ULL, 0x9913149dd6de60ceULL, 0x16694fc58f06d6c1ULL, 0x46b23975eb018fc7ULL,
1522
0x470a6a0fb4b7b4e2ULL, 0x5d92475a8f7253deULL, 0xabeee5b52fbd3adbULL, 0x7fa20801a0806968ULL,
1523
0x76f3faf19f7714d2ULL, 0xb3e840c12f4660c3ULL, 0x0fb4cd8df212744eULL, 0x4b065a251d3a2dd2ULL,
1524
0x5cebde383d77cd4aULL, 0x6adf39df882c9cb1ULL, 0xa2dd242eb09af759ULL, 0x3147c0e50e5f6422ULL,
1525
0x164ca5101d1350dbULL, 0xf8d13479c33fc962ULL, 0xe640ce4d13e5da08ULL, 0x4bdee0c45061f8baULL,
1526
0xd7c46dc1a4edb1c9ULL, 0x5514d7b6437fd98aULL, 0x58942f6bb2a1c00bULL, 0x2dffb2ab1d70710eULL,
1527
0xccdfcf2fc18b6d68ULL, 0xa8ebcba8b7806167ULL, 0x980697f95e2937e3ULL, 0x02fbba1cd0126e8cULL
1528
};
1529
1530
static void curve25519_ever64_base(u8 *out, const u8 *priv)
1531
{
1532
u64 swap = 1;
1533
int i, j, k;
1534
u64 tmp[16 + 32 + 4];
1535
u64 *x1 = &tmp[0];
1536
u64 *z1 = &tmp[4];
1537
u64 *x2 = &tmp[8];
1538
u64 *z2 = &tmp[12];
1539
u64 *xz1 = &tmp[0];
1540
u64 *xz2 = &tmp[8];
1541
u64 *a = &tmp[0 + 16];
1542
u64 *b = &tmp[4 + 16];
1543
u64 *c = &tmp[8 + 16];
1544
u64 *ab = &tmp[0 + 16];
1545
u64 *abcd = &tmp[0 + 16];
1546
u64 *ef = &tmp[16 + 16];
1547
u64 *efgh = &tmp[16 + 16];
1548
u64 *key = &tmp[0 + 16 + 32];
1549
1550
memcpy(key, priv, 32);
1551
((u8 *)key)[0] &= 248;
1552
((u8 *)key)[31] = (((u8 *)key)[31] & 127) | 64;
1553
1554
x1[0] = 1, x1[1] = x1[2] = x1[3] = 0;
1555
z1[0] = 1, z1[1] = z1[2] = z1[3] = 0;
1556
z2[0] = 1, z2[1] = z2[2] = z2[3] = 0;
1557
memcpy(x2, p_minus_s, sizeof(p_minus_s));
1558
1559
j = 3;
1560
for (i = 0; i < 4; ++i) {
1561
while (j < (const int[]){ 64, 64, 64, 63 }[i]) {
1562
u64 bit = (key[i] >> j) & 1;
1563
k = (64 * i + j - 3);
1564
swap = swap ^ bit;
1565
cswap2(swap, xz1, xz2);
1566
swap = bit;
1567
fsub(b, x1, z1);
1568
fadd(a, x1, z1);
1569
fmul(c, &table_ladder[4 * k], b, ef);
1570
fsub(b, a, c);
1571
fadd(a, a, c);
1572
fsqr2(ab, ab, efgh);
1573
fmul2(xz1, xz2, ab, efgh);
1574
++j;
1575
}
1576
j = 0;
1577
}
1578
1579
point_double(xz1, abcd, efgh);
1580
point_double(xz1, abcd, efgh);
1581
point_double(xz1, abcd, efgh);
1582
encode_point(out, xz1);
1583
1584
memzero_explicit(tmp, sizeof(tmp));
1585
}
1586
1587
static __ro_after_init DEFINE_STATIC_KEY_FALSE(curve25519_use_bmi2_adx);
1588
1589
static void curve25519_arch(u8 mypublic[CURVE25519_KEY_SIZE],
1590
const u8 secret[CURVE25519_KEY_SIZE],
1591
const u8 basepoint[CURVE25519_KEY_SIZE])
1592
{
1593
if (static_branch_likely(&curve25519_use_bmi2_adx))
1594
curve25519_ever64(mypublic, secret, basepoint);
1595
else
1596
curve25519_generic(mypublic, secret, basepoint);
1597
}
1598
1599
static void curve25519_base_arch(u8 pub[CURVE25519_KEY_SIZE],
1600
const u8 secret[CURVE25519_KEY_SIZE])
1601
{
1602
if (static_branch_likely(&curve25519_use_bmi2_adx))
1603
curve25519_ever64_base(pub, secret);
1604
else
1605
curve25519_generic(pub, secret, curve25519_base_point);
1606
}
1607
1608
#define curve25519_mod_init_arch curve25519_mod_init_arch
1609
static void curve25519_mod_init_arch(void)
1610
{
1611
if (boot_cpu_has(X86_FEATURE_BMI2) && boot_cpu_has(X86_FEATURE_ADX))
1612
static_branch_enable(&curve25519_use_bmi2_adx);
1613
}
1614
1615