1// SPDX-License-Identifier: GPL-2.0 OR MIT 2/* 3 * Copyright (C) 2020 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved. 4 * Copyright (c) 2016-2020 INRIA, CMU and Microsoft Corporation 5 */ 6 7#include <crypto/curve25519.h> 8#include <crypto/internal/kpp.h> 9 10#include <linux/types.h> 11#include <linux/jump_label.h> 12#include <linux/kernel.h> 13#include <linux/module.h> 14#include <linux/scatterlist.h> 15 16#include <asm/cpufeature.h> 17#include <asm/processor.h> 18 19static __always_inline u64 eq_mask(u64 a, u64 b) 20{ 21 u64 x = a ^ b; 22 u64 minus_x = ~x + (u64)1U; 23 u64 x_or_minus_x = x | minus_x; 24 u64 xnx = x_or_minus_x >> (u32)63U; 25 return xnx - (u64)1U; 26} 27 28static __always_inline u64 gte_mask(u64 a, u64 b) 29{ 30 u64 x = a; 31 u64 y = b; 32 u64 x_xor_y = x ^ y; 33 u64 x_sub_y = x - y; 34 u64 x_sub_y_xor_y = x_sub_y ^ y; 35 u64 q = x_xor_y | x_sub_y_xor_y; 36 u64 x_xor_q = x ^ q; 37 u64 x_xor_q_ = x_xor_q >> (u32)63U; 38 return x_xor_q_ - (u64)1U; 39} 40 41/* Computes the addition of four-element f1 with value in f2 42 * and returns the carry (if any) */ 43static inline u64 add_scalar(u64 *out, const u64 *f1, u64 f2) 44{ 45 u64 carry_r; 46 47 asm volatile( 48 /* Clear registers to propagate the carry bit */ 49 " xor %%r8d, %%r8d;" 50 " xor %%r9d, %%r9d;" 51 " xor %%r10d, %%r10d;" 52 " xor %%r11d, %%r11d;" 53 " xor %k1, %k1;" 54 55 /* Begin addition chain */ 56 " addq 0(%3), %0;" 57 " movq %0, 0(%2);" 58 " adcxq 8(%3), %%r8;" 59 " movq %%r8, 8(%2);" 60 " adcxq 16(%3), %%r9;" 61 " movq %%r9, 16(%2);" 62 " adcxq 24(%3), %%r10;" 63 " movq %%r10, 24(%2);" 64 65 /* Return the carry bit in a register */ 66 " adcx %%r11, %1;" 67 : "+&r" (f2), "=&r" (carry_r) 68 : "r" (out), "r" (f1) 69 : "%r8", "%r9", "%r10", "%r11", "memory", "cc" 70 ); 71 72 return carry_r; 73} 74 75/* Computes the field addition of two field elements */ 76static inline void fadd(u64 *out, const u64 *f1, const u64 *f2) 77{ 78 asm volatile( 79 /* Compute the raw addition of f1 + f2 */ 80 " movq 0(%0), %%r8;" 81 " addq 0(%2), %%r8;" 82 " movq 8(%0), %%r9;" 83 " adcxq 8(%2), %%r9;" 84 " movq 16(%0), %%r10;" 85 " adcxq 16(%2), %%r10;" 86 " movq 24(%0), %%r11;" 87 " adcxq 24(%2), %%r11;" 88 89 /* Wrap the result back into the field */ 90 91 /* Step 1: Compute carry*38 */ 92 " mov $0, %%rax;" 93 " mov $38, %0;" 94 " cmovc %0, %%rax;" 95 96 /* Step 2: Add carry*38 to the original sum */ 97 " xor %%ecx, %%ecx;" 98 " add %%rax, %%r8;" 99 " adcx %%rcx, %%r9;" 100 " movq %%r9, 8(%1);" 101 " adcx %%rcx, %%r10;" 102 " movq %%r10, 16(%1);" 103 " adcx %%rcx, %%r11;" 104 " movq %%r11, 24(%1);" 105 106 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 107 " mov $0, %%rax;" 108 " cmovc %0, %%rax;" 109 " add %%rax, %%r8;" 110 " movq %%r8, 0(%1);" 111 : "+&r" (f2) 112 : "r" (out), "r" (f1) 113 : "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc" 114 ); 115} 116 117/* Computes the field substraction of two field elements */ 118static inline void fsub(u64 *out, const u64 *f1, const u64 *f2) 119{ 120 asm volatile( 121 /* Compute the raw substraction of f1-f2 */ 122 " movq 0(%1), %%r8;" 123 " subq 0(%2), %%r8;" 124 " movq 8(%1), %%r9;" 125 " sbbq 8(%2), %%r9;" 126 " movq 16(%1), %%r10;" 127 " sbbq 16(%2), %%r10;" 128 " movq 24(%1), %%r11;" 129 " sbbq 24(%2), %%r11;" 130 131 /* Wrap the result back into the field */ 132 133 /* Step 1: Compute carry*38 */ 134 " mov $0, %%rax;" 135 " mov $38, %%rcx;" 136 " cmovc %%rcx, %%rax;" 137 138 /* Step 2: Substract carry*38 from the original difference */ 139 " sub %%rax, %%r8;" 140 " sbb $0, %%r9;" 141 " sbb $0, %%r10;" 142 " sbb $0, %%r11;" 143 144 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 145 " mov $0, %%rax;" 146 " cmovc %%rcx, %%rax;" 147 " sub %%rax, %%r8;" 148 149 /* Store the result */ 150 " movq %%r8, 0(%0);" 151 " movq %%r9, 8(%0);" 152 " movq %%r10, 16(%0);" 153 " movq %%r11, 24(%0);" 154 : 155 : "r" (out), "r" (f1), "r" (f2) 156 : "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc" 157 ); 158} 159 160/* Computes a field multiplication: out <- f1 * f2 161 * Uses the 8-element buffer tmp for intermediate results */ 162static inline void fmul(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp) 163{ 164 asm volatile( 165 /* Compute the raw multiplication: tmp <- src1 * src2 */ 166 167 /* Compute src1[0] * src2 */ 168 " movq 0(%1), %%rdx;" 169 " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " movq %%r8, 0(%0);" 170 " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " movq %%r10, 8(%0);" 171 " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" 172 " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " mov $0, %%rax;" 173 " adox %%rdx, %%rax;" 174 /* Compute src1[1] * src2 */ 175 " movq 8(%1), %%rdx;" 176 " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 8(%0), %%r8;" " movq %%r8, 8(%0);" 177 " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 16(%0);" 178 " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;" 179 " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;" 180 " adox %%rdx, %%rax;" " adcx %%r8, %%rax;" 181 /* Compute src1[2] * src2 */ 182 " movq 16(%1), %%rdx;" 183 " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 16(%0), %%r8;" " movq %%r8, 16(%0);" 184 " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 24(%0);" 185 " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;" 186 " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;" 187 " adox %%rdx, %%rax;" " adcx %%r8, %%rax;" 188 /* Compute src1[3] * src2 */ 189 " movq 24(%1), %%rdx;" 190 " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 24(%0), %%r8;" " movq %%r8, 24(%0);" 191 " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 32(%0);" 192 " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " movq %%rbx, 40(%0);" " mov $0, %%r8;" 193 " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " movq %%r14, 48(%0);" " mov $0, %%rax;" 194 " adox %%rdx, %%rax;" " adcx %%r8, %%rax;" " movq %%rax, 56(%0);" 195 /* Line up pointers */ 196 " mov %0, %1;" 197 " mov %2, %0;" 198 199 /* Wrap the result back into the field */ 200 201 /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */ 202 " mov $38, %%rdx;" 203 " mulxq 32(%1), %%r8, %%r13;" 204 " xor %k3, %k3;" 205 " adoxq 0(%1), %%r8;" 206 " mulxq 40(%1), %%r9, %%rbx;" 207 " adcx %%r13, %%r9;" 208 " adoxq 8(%1), %%r9;" 209 " mulxq 48(%1), %%r10, %%r13;" 210 " adcx %%rbx, %%r10;" 211 " adoxq 16(%1), %%r10;" 212 " mulxq 56(%1), %%r11, %%rax;" 213 " adcx %%r13, %%r11;" 214 " adoxq 24(%1), %%r11;" 215 " adcx %3, %%rax;" 216 " adox %3, %%rax;" 217 " imul %%rdx, %%rax;" 218 219 /* Step 2: Fold the carry back into dst */ 220 " add %%rax, %%r8;" 221 " adcx %3, %%r9;" 222 " movq %%r9, 8(%0);" 223 " adcx %3, %%r10;" 224 " movq %%r10, 16(%0);" 225 " adcx %3, %%r11;" 226 " movq %%r11, 24(%0);" 227 228 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 229 " mov $0, %%rax;" 230 " cmovc %%rdx, %%rax;" 231 " add %%rax, %%r8;" 232 " movq %%r8, 0(%0);" 233 : "+&r" (tmp), "+&r" (f1), "+&r" (out), "+&r" (f2) 234 : 235 : "%rax", "%rdx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "%r14", "memory", "cc" 236 ); 237} 238 239/* Computes two field multiplications: 240 * out[0] <- f1[0] * f2[0] 241 * out[1] <- f1[1] * f2[1] 242 * Uses the 16-element buffer tmp for intermediate results. */ 243static inline void fmul2(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp) 244{ 245 asm volatile( 246 /* Compute the raw multiplication tmp[0] <- f1[0] * f2[0] */ 247 248 /* Compute src1[0] * src2 */ 249 " movq 0(%1), %%rdx;" 250 " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " movq %%r8, 0(%0);" 251 " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " movq %%r10, 8(%0);" 252 " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" 253 " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " mov $0, %%rax;" 254 " adox %%rdx, %%rax;" 255 /* Compute src1[1] * src2 */ 256 " movq 8(%1), %%rdx;" 257 " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 8(%0), %%r8;" " movq %%r8, 8(%0);" 258 " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 16(%0);" 259 " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;" 260 " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;" 261 " adox %%rdx, %%rax;" " adcx %%r8, %%rax;" 262 /* Compute src1[2] * src2 */ 263 " movq 16(%1), %%rdx;" 264 " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 16(%0), %%r8;" " movq %%r8, 16(%0);" 265 " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 24(%0);" 266 " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;" 267 " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;" 268 " adox %%rdx, %%rax;" " adcx %%r8, %%rax;" 269 /* Compute src1[3] * src2 */ 270 " movq 24(%1), %%rdx;" 271 " mulxq 0(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 24(%0), %%r8;" " movq %%r8, 24(%0);" 272 " mulxq 8(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 32(%0);" 273 " mulxq 16(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " movq %%rbx, 40(%0);" " mov $0, %%r8;" 274 " mulxq 24(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " movq %%r14, 48(%0);" " mov $0, %%rax;" 275 " adox %%rdx, %%rax;" " adcx %%r8, %%rax;" " movq %%rax, 56(%0);" 276 277 /* Compute the raw multiplication tmp[1] <- f1[1] * f2[1] */ 278 279 /* Compute src1[0] * src2 */ 280 " movq 32(%1), %%rdx;" 281 " mulxq 32(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " movq %%r8, 64(%0);" 282 " mulxq 40(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " movq %%r10, 72(%0);" 283 " mulxq 48(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" 284 " mulxq 56(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " mov $0, %%rax;" 285 " adox %%rdx, %%rax;" 286 /* Compute src1[1] * src2 */ 287 " movq 40(%1), %%rdx;" 288 " mulxq 32(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 72(%0), %%r8;" " movq %%r8, 72(%0);" 289 " mulxq 40(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 80(%0);" 290 " mulxq 48(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;" 291 " mulxq 56(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;" 292 " adox %%rdx, %%rax;" " adcx %%r8, %%rax;" 293 /* Compute src1[2] * src2 */ 294 " movq 48(%1), %%rdx;" 295 " mulxq 32(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 80(%0), %%r8;" " movq %%r8, 80(%0);" 296 " mulxq 40(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 88(%0);" 297 " mulxq 48(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " mov $0, %%r8;" 298 " mulxq 56(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " mov $0, %%rax;" 299 " adox %%rdx, %%rax;" " adcx %%r8, %%rax;" 300 /* Compute src1[3] * src2 */ 301 " movq 56(%1), %%rdx;" 302 " mulxq 32(%3), %%r8, %%r9;" " xor %%r10d, %%r10d;" " adcxq 88(%0), %%r8;" " movq %%r8, 88(%0);" 303 " mulxq 40(%3), %%r10, %%r11;" " adox %%r9, %%r10;" " adcx %%rbx, %%r10;" " movq %%r10, 96(%0);" 304 " mulxq 48(%3), %%rbx, %%r13;" " adox %%r11, %%rbx;" " adcx %%r14, %%rbx;" " movq %%rbx, 104(%0);" " mov $0, %%r8;" 305 " mulxq 56(%3), %%r14, %%rdx;" " adox %%r13, %%r14;" " adcx %%rax, %%r14;" " movq %%r14, 112(%0);" " mov $0, %%rax;" 306 " adox %%rdx, %%rax;" " adcx %%r8, %%rax;" " movq %%rax, 120(%0);" 307 /* Line up pointers */ 308 " mov %0, %1;" 309 " mov %2, %0;" 310 311 /* Wrap the results back into the field */ 312 313 /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */ 314 " mov $38, %%rdx;" 315 " mulxq 32(%1), %%r8, %%r13;" 316 " xor %k3, %k3;" 317 " adoxq 0(%1), %%r8;" 318 " mulxq 40(%1), %%r9, %%rbx;" 319 " adcx %%r13, %%r9;" 320 " adoxq 8(%1), %%r9;" 321 " mulxq 48(%1), %%r10, %%r13;" 322 " adcx %%rbx, %%r10;" 323 " adoxq 16(%1), %%r10;" 324 " mulxq 56(%1), %%r11, %%rax;" 325 " adcx %%r13, %%r11;" 326 " adoxq 24(%1), %%r11;" 327 " adcx %3, %%rax;" 328 " adox %3, %%rax;" 329 " imul %%rdx, %%rax;" 330 331 /* Step 2: Fold the carry back into dst */ 332 " add %%rax, %%r8;" 333 " adcx %3, %%r9;" 334 " movq %%r9, 8(%0);" 335 " adcx %3, %%r10;" 336 " movq %%r10, 16(%0);" 337 " adcx %3, %%r11;" 338 " movq %%r11, 24(%0);" 339 340 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 341 " mov $0, %%rax;" 342 " cmovc %%rdx, %%rax;" 343 " add %%rax, %%r8;" 344 " movq %%r8, 0(%0);" 345 346 /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */ 347 " mov $38, %%rdx;" 348 " mulxq 96(%1), %%r8, %%r13;" 349 " xor %k3, %k3;" 350 " adoxq 64(%1), %%r8;" 351 " mulxq 104(%1), %%r9, %%rbx;" 352 " adcx %%r13, %%r9;" 353 " adoxq 72(%1), %%r9;" 354 " mulxq 112(%1), %%r10, %%r13;" 355 " adcx %%rbx, %%r10;" 356 " adoxq 80(%1), %%r10;" 357 " mulxq 120(%1), %%r11, %%rax;" 358 " adcx %%r13, %%r11;" 359 " adoxq 88(%1), %%r11;" 360 " adcx %3, %%rax;" 361 " adox %3, %%rax;" 362 " imul %%rdx, %%rax;" 363 364 /* Step 2: Fold the carry back into dst */ 365 " add %%rax, %%r8;" 366 " adcx %3, %%r9;" 367 " movq %%r9, 40(%0);" 368 " adcx %3, %%r10;" 369 " movq %%r10, 48(%0);" 370 " adcx %3, %%r11;" 371 " movq %%r11, 56(%0);" 372 373 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 374 " mov $0, %%rax;" 375 " cmovc %%rdx, %%rax;" 376 " add %%rax, %%r8;" 377 " movq %%r8, 32(%0);" 378 : "+&r" (tmp), "+&r" (f1), "+&r" (out), "+&r" (f2) 379 : 380 : "%rax", "%rdx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "%r14", "memory", "cc" 381 ); 382} 383 384/* Computes the field multiplication of four-element f1 with value in f2 */ 385static inline void fmul_scalar(u64 *out, const u64 *f1, u64 f2) 386{ 387 register u64 f2_r asm("rdx") = f2; 388 389 asm volatile( 390 /* Compute the raw multiplication of f1*f2 */ 391 " mulxq 0(%2), %%r8, %%rcx;" /* f1[0]*f2 */ 392 " mulxq 8(%2), %%r9, %%rbx;" /* f1[1]*f2 */ 393 " add %%rcx, %%r9;" 394 " mov $0, %%rcx;" 395 " mulxq 16(%2), %%r10, %%r13;" /* f1[2]*f2 */ 396 " adcx %%rbx, %%r10;" 397 " mulxq 24(%2), %%r11, %%rax;" /* f1[3]*f2 */ 398 " adcx %%r13, %%r11;" 399 " adcx %%rcx, %%rax;" 400 401 /* Wrap the result back into the field */ 402 403 /* Step 1: Compute carry*38 */ 404 " mov $38, %%rdx;" 405 " imul %%rdx, %%rax;" 406 407 /* Step 2: Fold the carry back into dst */ 408 " add %%rax, %%r8;" 409 " adcx %%rcx, %%r9;" 410 " movq %%r9, 8(%1);" 411 " adcx %%rcx, %%r10;" 412 " movq %%r10, 16(%1);" 413 " adcx %%rcx, %%r11;" 414 " movq %%r11, 24(%1);" 415 416 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 417 " mov $0, %%rax;" 418 " cmovc %%rdx, %%rax;" 419 " add %%rax, %%r8;" 420 " movq %%r8, 0(%1);" 421 : "+&r" (f2_r) 422 : "r" (out), "r" (f1) 423 : "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "memory", "cc" 424 ); 425} 426 427/* Computes p1 <- bit ? p2 : p1 in constant time */ 428static inline void cswap2(u64 bit, const u64 *p1, const u64 *p2) 429{ 430 asm volatile( 431 /* Invert the polarity of bit to match cmov expectations */ 432 " add $18446744073709551615, %0;" 433 434 /* cswap p1[0], p2[0] */ 435 " movq 0(%1), %%r8;" 436 " movq 0(%2), %%r9;" 437 " mov %%r8, %%r10;" 438 " cmovc %%r9, %%r8;" 439 " cmovc %%r10, %%r9;" 440 " movq %%r8, 0(%1);" 441 " movq %%r9, 0(%2);" 442 443 /* cswap p1[1], p2[1] */ 444 " movq 8(%1), %%r8;" 445 " movq 8(%2), %%r9;" 446 " mov %%r8, %%r10;" 447 " cmovc %%r9, %%r8;" 448 " cmovc %%r10, %%r9;" 449 " movq %%r8, 8(%1);" 450 " movq %%r9, 8(%2);" 451 452 /* cswap p1[2], p2[2] */ 453 " movq 16(%1), %%r8;" 454 " movq 16(%2), %%r9;" 455 " mov %%r8, %%r10;" 456 " cmovc %%r9, %%r8;" 457 " cmovc %%r10, %%r9;" 458 " movq %%r8, 16(%1);" 459 " movq %%r9, 16(%2);" 460 461 /* cswap p1[3], p2[3] */ 462 " movq 24(%1), %%r8;" 463 " movq 24(%2), %%r9;" 464 " mov %%r8, %%r10;" 465 " cmovc %%r9, %%r8;" 466 " cmovc %%r10, %%r9;" 467 " movq %%r8, 24(%1);" 468 " movq %%r9, 24(%2);" 469 470 /* cswap p1[4], p2[4] */ 471 " movq 32(%1), %%r8;" 472 " movq 32(%2), %%r9;" 473 " mov %%r8, %%r10;" 474 " cmovc %%r9, %%r8;" 475 " cmovc %%r10, %%r9;" 476 " movq %%r8, 32(%1);" 477 " movq %%r9, 32(%2);" 478 479 /* cswap p1[5], p2[5] */ 480 " movq 40(%1), %%r8;" 481 " movq 40(%2), %%r9;" 482 " mov %%r8, %%r10;" 483 " cmovc %%r9, %%r8;" 484 " cmovc %%r10, %%r9;" 485 " movq %%r8, 40(%1);" 486 " movq %%r9, 40(%2);" 487 488 /* cswap p1[6], p2[6] */ 489 " movq 48(%1), %%r8;" 490 " movq 48(%2), %%r9;" 491 " mov %%r8, %%r10;" 492 " cmovc %%r9, %%r8;" 493 " cmovc %%r10, %%r9;" 494 " movq %%r8, 48(%1);" 495 " movq %%r9, 48(%2);" 496 497 /* cswap p1[7], p2[7] */ 498 " movq 56(%1), %%r8;" 499 " movq 56(%2), %%r9;" 500 " mov %%r8, %%r10;" 501 " cmovc %%r9, %%r8;" 502 " cmovc %%r10, %%r9;" 503 " movq %%r8, 56(%1);" 504 " movq %%r9, 56(%2);" 505 : "+&r" (bit) 506 : "r" (p1), "r" (p2) 507 : "%r8", "%r9", "%r10", "memory", "cc" 508 ); 509} 510 511/* Computes the square of a field element: out <- f * f 512 * Uses the 8-element buffer tmp for intermediate results */ 513static inline void fsqr(u64 *out, const u64 *f, u64 *tmp) 514{ 515 asm volatile( 516 /* Compute the raw multiplication: tmp <- f * f */ 517 518 /* Step 1: Compute all partial products */ 519 " movq 0(%1), %%rdx;" /* f[0] */ 520 " mulxq 8(%1), %%r8, %%r14;" " xor %%r15d, %%r15d;" /* f[1]*f[0] */ 521 " mulxq 16(%1), %%r9, %%r10;" " adcx %%r14, %%r9;" /* f[2]*f[0] */ 522 " mulxq 24(%1), %%rax, %%rcx;" " adcx %%rax, %%r10;" /* f[3]*f[0] */ 523 " movq 24(%1), %%rdx;" /* f[3] */ 524 " mulxq 8(%1), %%r11, %%rbx;" " adcx %%rcx, %%r11;" /* f[1]*f[3] */ 525 " mulxq 16(%1), %%rax, %%r13;" " adcx %%rax, %%rbx;" /* f[2]*f[3] */ 526 " movq 8(%1), %%rdx;" " adcx %%r15, %%r13;" /* f1 */ 527 " mulxq 16(%1), %%rax, %%rcx;" " mov $0, %%r14;" /* f[2]*f[1] */ 528 529 /* Step 2: Compute two parallel carry chains */ 530 " xor %%r15d, %%r15d;" 531 " adox %%rax, %%r10;" 532 " adcx %%r8, %%r8;" 533 " adox %%rcx, %%r11;" 534 " adcx %%r9, %%r9;" 535 " adox %%r15, %%rbx;" 536 " adcx %%r10, %%r10;" 537 " adox %%r15, %%r13;" 538 " adcx %%r11, %%r11;" 539 " adox %%r15, %%r14;" 540 " adcx %%rbx, %%rbx;" 541 " adcx %%r13, %%r13;" 542 " adcx %%r14, %%r14;" 543 544 /* Step 3: Compute intermediate squares */ 545 " movq 0(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */ 546 " movq %%rax, 0(%0);" 547 " add %%rcx, %%r8;" " movq %%r8, 8(%0);" 548 " movq 8(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */ 549 " adcx %%rax, %%r9;" " movq %%r9, 16(%0);" 550 " adcx %%rcx, %%r10;" " movq %%r10, 24(%0);" 551 " movq 16(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */ 552 " adcx %%rax, %%r11;" " movq %%r11, 32(%0);" 553 " adcx %%rcx, %%rbx;" " movq %%rbx, 40(%0);" 554 " movq 24(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */ 555 " adcx %%rax, %%r13;" " movq %%r13, 48(%0);" 556 " adcx %%rcx, %%r14;" " movq %%r14, 56(%0);" 557 558 /* Line up pointers */ 559 " mov %0, %1;" 560 " mov %2, %0;" 561 562 /* Wrap the result back into the field */ 563 564 /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */ 565 " mov $38, %%rdx;" 566 " mulxq 32(%1), %%r8, %%r13;" 567 " xor %%ecx, %%ecx;" 568 " adoxq 0(%1), %%r8;" 569 " mulxq 40(%1), %%r9, %%rbx;" 570 " adcx %%r13, %%r9;" 571 " adoxq 8(%1), %%r9;" 572 " mulxq 48(%1), %%r10, %%r13;" 573 " adcx %%rbx, %%r10;" 574 " adoxq 16(%1), %%r10;" 575 " mulxq 56(%1), %%r11, %%rax;" 576 " adcx %%r13, %%r11;" 577 " adoxq 24(%1), %%r11;" 578 " adcx %%rcx, %%rax;" 579 " adox %%rcx, %%rax;" 580 " imul %%rdx, %%rax;" 581 582 /* Step 2: Fold the carry back into dst */ 583 " add %%rax, %%r8;" 584 " adcx %%rcx, %%r9;" 585 " movq %%r9, 8(%0);" 586 " adcx %%rcx, %%r10;" 587 " movq %%r10, 16(%0);" 588 " adcx %%rcx, %%r11;" 589 " movq %%r11, 24(%0);" 590 591 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 592 " mov $0, %%rax;" 593 " cmovc %%rdx, %%rax;" 594 " add %%rax, %%r8;" 595 " movq %%r8, 0(%0);" 596 : "+&r" (tmp), "+&r" (f), "+&r" (out) 597 : 598 : "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "%r14", "%r15", "memory", "cc" 599 ); 600} 601 602/* Computes two field squarings: 603 * out[0] <- f[0] * f[0] 604 * out[1] <- f[1] * f[1] 605 * Uses the 16-element buffer tmp for intermediate results */ 606static inline void fsqr2(u64 *out, const u64 *f, u64 *tmp) 607{ 608 asm volatile( 609 /* Step 1: Compute all partial products */ 610 " movq 0(%1), %%rdx;" /* f[0] */ 611 " mulxq 8(%1), %%r8, %%r14;" " xor %%r15d, %%r15d;" /* f[1]*f[0] */ 612 " mulxq 16(%1), %%r9, %%r10;" " adcx %%r14, %%r9;" /* f[2]*f[0] */ 613 " mulxq 24(%1), %%rax, %%rcx;" " adcx %%rax, %%r10;" /* f[3]*f[0] */ 614 " movq 24(%1), %%rdx;" /* f[3] */ 615 " mulxq 8(%1), %%r11, %%rbx;" " adcx %%rcx, %%r11;" /* f[1]*f[3] */ 616 " mulxq 16(%1), %%rax, %%r13;" " adcx %%rax, %%rbx;" /* f[2]*f[3] */ 617 " movq 8(%1), %%rdx;" " adcx %%r15, %%r13;" /* f1 */ 618 " mulxq 16(%1), %%rax, %%rcx;" " mov $0, %%r14;" /* f[2]*f[1] */ 619 620 /* Step 2: Compute two parallel carry chains */ 621 " xor %%r15d, %%r15d;" 622 " adox %%rax, %%r10;" 623 " adcx %%r8, %%r8;" 624 " adox %%rcx, %%r11;" 625 " adcx %%r9, %%r9;" 626 " adox %%r15, %%rbx;" 627 " adcx %%r10, %%r10;" 628 " adox %%r15, %%r13;" 629 " adcx %%r11, %%r11;" 630 " adox %%r15, %%r14;" 631 " adcx %%rbx, %%rbx;" 632 " adcx %%r13, %%r13;" 633 " adcx %%r14, %%r14;" 634 635 /* Step 3: Compute intermediate squares */ 636 " movq 0(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */ 637 " movq %%rax, 0(%0);" 638 " add %%rcx, %%r8;" " movq %%r8, 8(%0);" 639 " movq 8(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */ 640 " adcx %%rax, %%r9;" " movq %%r9, 16(%0);" 641 " adcx %%rcx, %%r10;" " movq %%r10, 24(%0);" 642 " movq 16(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */ 643 " adcx %%rax, %%r11;" " movq %%r11, 32(%0);" 644 " adcx %%rcx, %%rbx;" " movq %%rbx, 40(%0);" 645 " movq 24(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */ 646 " adcx %%rax, %%r13;" " movq %%r13, 48(%0);" 647 " adcx %%rcx, %%r14;" " movq %%r14, 56(%0);" 648 649 /* Step 1: Compute all partial products */ 650 " movq 32(%1), %%rdx;" /* f[0] */ 651 " mulxq 40(%1), %%r8, %%r14;" " xor %%r15d, %%r15d;" /* f[1]*f[0] */ 652 " mulxq 48(%1), %%r9, %%r10;" " adcx %%r14, %%r9;" /* f[2]*f[0] */ 653 " mulxq 56(%1), %%rax, %%rcx;" " adcx %%rax, %%r10;" /* f[3]*f[0] */ 654 " movq 56(%1), %%rdx;" /* f[3] */ 655 " mulxq 40(%1), %%r11, %%rbx;" " adcx %%rcx, %%r11;" /* f[1]*f[3] */ 656 " mulxq 48(%1), %%rax, %%r13;" " adcx %%rax, %%rbx;" /* f[2]*f[3] */ 657 " movq 40(%1), %%rdx;" " adcx %%r15, %%r13;" /* f1 */ 658 " mulxq 48(%1), %%rax, %%rcx;" " mov $0, %%r14;" /* f[2]*f[1] */ 659 660 /* Step 2: Compute two parallel carry chains */ 661 " xor %%r15d, %%r15d;" 662 " adox %%rax, %%r10;" 663 " adcx %%r8, %%r8;" 664 " adox %%rcx, %%r11;" 665 " adcx %%r9, %%r9;" 666 " adox %%r15, %%rbx;" 667 " adcx %%r10, %%r10;" 668 " adox %%r15, %%r13;" 669 " adcx %%r11, %%r11;" 670 " adox %%r15, %%r14;" 671 " adcx %%rbx, %%rbx;" 672 " adcx %%r13, %%r13;" 673 " adcx %%r14, %%r14;" 674 675 /* Step 3: Compute intermediate squares */ 676 " movq 32(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */ 677 " movq %%rax, 64(%0);" 678 " add %%rcx, %%r8;" " movq %%r8, 72(%0);" 679 " movq 40(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */ 680 " adcx %%rax, %%r9;" " movq %%r9, 80(%0);" 681 " adcx %%rcx, %%r10;" " movq %%r10, 88(%0);" 682 " movq 48(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */ 683 " adcx %%rax, %%r11;" " movq %%r11, 96(%0);" 684 " adcx %%rcx, %%rbx;" " movq %%rbx, 104(%0);" 685 " movq 56(%1), %%rdx;" " mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */ 686 " adcx %%rax, %%r13;" " movq %%r13, 112(%0);" 687 " adcx %%rcx, %%r14;" " movq %%r14, 120(%0);" 688 689 /* Line up pointers */ 690 " mov %0, %1;" 691 " mov %2, %0;" 692 693 /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */ 694 " mov $38, %%rdx;" 695 " mulxq 32(%1), %%r8, %%r13;" 696 " xor %%ecx, %%ecx;" 697 " adoxq 0(%1), %%r8;" 698 " mulxq 40(%1), %%r9, %%rbx;" 699 " adcx %%r13, %%r9;" 700 " adoxq 8(%1), %%r9;" 701 " mulxq 48(%1), %%r10, %%r13;" 702 " adcx %%rbx, %%r10;" 703 " adoxq 16(%1), %%r10;" 704 " mulxq 56(%1), %%r11, %%rax;" 705 " adcx %%r13, %%r11;" 706 " adoxq 24(%1), %%r11;" 707 " adcx %%rcx, %%rax;" 708 " adox %%rcx, %%rax;" 709 " imul %%rdx, %%rax;" 710 711 /* Step 2: Fold the carry back into dst */ 712 " add %%rax, %%r8;" 713 " adcx %%rcx, %%r9;" 714 " movq %%r9, 8(%0);" 715 " adcx %%rcx, %%r10;" 716 " movq %%r10, 16(%0);" 717 " adcx %%rcx, %%r11;" 718 " movq %%r11, 24(%0);" 719 720 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 721 " mov $0, %%rax;" 722 " cmovc %%rdx, %%rax;" 723 " add %%rax, %%r8;" 724 " movq %%r8, 0(%0);" 725 726 /* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */ 727 " mov $38, %%rdx;" 728 " mulxq 96(%1), %%r8, %%r13;" 729 " xor %%ecx, %%ecx;" 730 " adoxq 64(%1), %%r8;" 731 " mulxq 104(%1), %%r9, %%rbx;" 732 " adcx %%r13, %%r9;" 733 " adoxq 72(%1), %%r9;" 734 " mulxq 112(%1), %%r10, %%r13;" 735 " adcx %%rbx, %%r10;" 736 " adoxq 80(%1), %%r10;" 737 " mulxq 120(%1), %%r11, %%rax;" 738 " adcx %%r13, %%r11;" 739 " adoxq 88(%1), %%r11;" 740 " adcx %%rcx, %%rax;" 741 " adox %%rcx, %%rax;" 742 " imul %%rdx, %%rax;" 743 744 /* Step 2: Fold the carry back into dst */ 745 " add %%rax, %%r8;" 746 " adcx %%rcx, %%r9;" 747 " movq %%r9, 40(%0);" 748 " adcx %%rcx, %%r10;" 749 " movq %%r10, 48(%0);" 750 " adcx %%rcx, %%r11;" 751 " movq %%r11, 56(%0);" 752 753 /* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */ 754 " mov $0, %%rax;" 755 " cmovc %%rdx, %%rax;" 756 " add %%rax, %%r8;" 757 " movq %%r8, 32(%0);" 758 : "+&r" (tmp), "+&r" (f), "+&r" (out) 759 : 760 : "%rax", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%rbx", "%r13", "%r14", "%r15", "memory", "cc" 761 ); 762} 763 764static void point_add_and_double(u64 *q, u64 *p01_tmp1, u64 *tmp2) 765{ 766 u64 *nq = p01_tmp1; 767 u64 *nq_p1 = p01_tmp1 + (u32)8U; 768 u64 *tmp1 = p01_tmp1 + (u32)16U; 769 u64 *x1 = q; 770 u64 *x2 = nq; 771 u64 *z2 = nq + (u32)4U; 772 u64 *z3 = nq_p1 + (u32)4U; 773 u64 *a = tmp1; 774 u64 *b = tmp1 + (u32)4U; 775 u64 *ab = tmp1; 776 u64 *dc = tmp1 + (u32)8U; 777 u64 *x3; 778 u64 *z31; 779 u64 *d0; 780 u64 *c0; 781 u64 *a1; 782 u64 *b1; 783 u64 *d; 784 u64 *c; 785 u64 *ab1; 786 u64 *dc1; 787 fadd(a, x2, z2); 788 fsub(b, x2, z2); 789 x3 = nq_p1; 790 z31 = nq_p1 + (u32)4U; 791 d0 = dc; 792 c0 = dc + (u32)4U; 793 fadd(c0, x3, z31); 794 fsub(d0, x3, z31); 795 fmul2(dc, dc, ab, tmp2); 796 fadd(x3, d0, c0); 797 fsub(z31, d0, c0); 798 a1 = tmp1; 799 b1 = tmp1 + (u32)4U; 800 d = tmp1 + (u32)8U; 801 c = tmp1 + (u32)12U; 802 ab1 = tmp1; 803 dc1 = tmp1 + (u32)8U; 804 fsqr2(dc1, ab1, tmp2); 805 fsqr2(nq_p1, nq_p1, tmp2); 806 a1[0U] = c[0U]; 807 a1[1U] = c[1U]; 808 a1[2U] = c[2U]; 809 a1[3U] = c[3U]; 810 fsub(c, d, c); 811 fmul_scalar(b1, c, (u64)121665U); 812 fadd(b1, b1, d); 813 fmul2(nq, dc1, ab1, tmp2); 814 fmul(z3, z3, x1, tmp2); 815} 816 817static void point_double(u64 *nq, u64 *tmp1, u64 *tmp2) 818{ 819 u64 *x2 = nq; 820 u64 *z2 = nq + (u32)4U; 821 u64 *a = tmp1; 822 u64 *b = tmp1 + (u32)4U; 823 u64 *d = tmp1 + (u32)8U; 824 u64 *c = tmp1 + (u32)12U; 825 u64 *ab = tmp1; 826 u64 *dc = tmp1 + (u32)8U; 827 fadd(a, x2, z2); 828 fsub(b, x2, z2); 829 fsqr2(dc, ab, tmp2); 830 a[0U] = c[0U]; 831 a[1U] = c[1U]; 832 a[2U] = c[2U]; 833 a[3U] = c[3U]; 834 fsub(c, d, c); 835 fmul_scalar(b, c, (u64)121665U); 836 fadd(b, b, d); 837 fmul2(nq, dc, ab, tmp2); 838} 839 840static void montgomery_ladder(u64 *out, const u8 *key, u64 *init1) 841{ 842 u64 tmp2[16U] = { 0U }; 843 u64 p01_tmp1_swap[33U] = { 0U }; 844 u64 *p0 = p01_tmp1_swap; 845 u64 *p01 = p01_tmp1_swap; 846 u64 *p03 = p01; 847 u64 *p11 = p01 + (u32)8U; 848 u64 *x0; 849 u64 *z0; 850 u64 *p01_tmp1; 851 u64 *p01_tmp11; 852 u64 *nq10; 853 u64 *nq_p11; 854 u64 *swap1; 855 u64 sw0; 856 u64 *nq1; 857 u64 *tmp1; 858 memcpy(p11, init1, (u32)8U * sizeof(init1[0U])); 859 x0 = p03; 860 z0 = p03 + (u32)4U; 861 x0[0U] = (u64)1U; 862 x0[1U] = (u64)0U; 863 x0[2U] = (u64)0U; 864 x0[3U] = (u64)0U; 865 z0[0U] = (u64)0U; 866 z0[1U] = (u64)0U; 867 z0[2U] = (u64)0U; 868 z0[3U] = (u64)0U; 869 p01_tmp1 = p01_tmp1_swap; 870 p01_tmp11 = p01_tmp1_swap; 871 nq10 = p01_tmp1_swap; 872 nq_p11 = p01_tmp1_swap + (u32)8U; 873 swap1 = p01_tmp1_swap + (u32)32U; 874 cswap2((u64)1U, nq10, nq_p11); 875 point_add_and_double(init1, p01_tmp11, tmp2); 876 swap1[0U] = (u64)1U; 877 { 878 u32 i; 879 for (i = (u32)0U; i < (u32)251U; i = i + (u32)1U) { 880 u64 *p01_tmp12 = p01_tmp1_swap; 881 u64 *swap2 = p01_tmp1_swap + (u32)32U; 882 u64 *nq2 = p01_tmp12; 883 u64 *nq_p12 = p01_tmp12 + (u32)8U; 884 u64 bit = (u64)(key[((u32)253U - i) / (u32)8U] >> ((u32)253U - i) % (u32)8U & (u8)1U); 885 u64 sw = swap2[0U] ^ bit; 886 cswap2(sw, nq2, nq_p12); 887 point_add_and_double(init1, p01_tmp12, tmp2); 888 swap2[0U] = bit; 889 } 890 } 891 sw0 = swap1[0U]; 892 cswap2(sw0, nq10, nq_p11); 893 nq1 = p01_tmp1; 894 tmp1 = p01_tmp1 + (u32)16U; 895 point_double(nq1, tmp1, tmp2); 896 point_double(nq1, tmp1, tmp2); 897 point_double(nq1, tmp1, tmp2); 898 memcpy(out, p0, (u32)8U * sizeof(p0[0U])); 899 900 memzero_explicit(tmp2, sizeof(tmp2)); 901 memzero_explicit(p01_tmp1_swap, sizeof(p01_tmp1_swap)); 902} 903 904static void fsquare_times(u64 *o, const u64 *inp, u64 *tmp, u32 n1) 905{ 906 u32 i; 907 fsqr(o, inp, tmp); 908 for (i = (u32)0U; i < n1 - (u32)1U; i = i + (u32)1U) 909 fsqr(o, o, tmp); 910} 911 912static void finv(u64 *o, const u64 *i, u64 *tmp) 913{ 914 u64 t1[16U] = { 0U }; 915 u64 *a0 = t1; 916 u64 *b = t1 + (u32)4U; 917 u64 *c = t1 + (u32)8U; 918 u64 *t00 = t1 + (u32)12U; 919 u64 *tmp1 = tmp; 920 u64 *a; 921 u64 *t0; 922 fsquare_times(a0, i, tmp1, (u32)1U); 923 fsquare_times(t00, a0, tmp1, (u32)2U); 924 fmul(b, t00, i, tmp); 925 fmul(a0, b, a0, tmp); 926 fsquare_times(t00, a0, tmp1, (u32)1U); 927 fmul(b, t00, b, tmp); 928 fsquare_times(t00, b, tmp1, (u32)5U); 929 fmul(b, t00, b, tmp); 930 fsquare_times(t00, b, tmp1, (u32)10U); 931 fmul(c, t00, b, tmp); 932 fsquare_times(t00, c, tmp1, (u32)20U); 933 fmul(t00, t00, c, tmp); 934 fsquare_times(t00, t00, tmp1, (u32)10U); 935 fmul(b, t00, b, tmp); 936 fsquare_times(t00, b, tmp1, (u32)50U); 937 fmul(c, t00, b, tmp); 938 fsquare_times(t00, c, tmp1, (u32)100U); 939 fmul(t00, t00, c, tmp); 940 fsquare_times(t00, t00, tmp1, (u32)50U); 941 fmul(t00, t00, b, tmp); 942 fsquare_times(t00, t00, tmp1, (u32)5U); 943 a = t1; 944 t0 = t1 + (u32)12U; 945 fmul(o, t0, a, tmp); 946} 947 948static void store_felem(u64 *b, u64 *f) 949{ 950 u64 f30 = f[3U]; 951 u64 top_bit0 = f30 >> (u32)63U; 952 u64 f31; 953 u64 top_bit; 954 u64 f0; 955 u64 f1; 956 u64 f2; 957 u64 f3; 958 u64 m0; 959 u64 m1; 960 u64 m2; 961 u64 m3; 962 u64 mask; 963 u64 f0_; 964 u64 f1_; 965 u64 f2_; 966 u64 f3_; 967 u64 o0; 968 u64 o1; 969 u64 o2; 970 u64 o3; 971 f[3U] = f30 & (u64)0x7fffffffffffffffU; 972 add_scalar(f, f, (u64)19U * top_bit0); 973 f31 = f[3U]; 974 top_bit = f31 >> (u32)63U; 975 f[3U] = f31 & (u64)0x7fffffffffffffffU; 976 add_scalar(f, f, (u64)19U * top_bit); 977 f0 = f[0U]; 978 f1 = f[1U]; 979 f2 = f[2U]; 980 f3 = f[3U]; 981 m0 = gte_mask(f0, (u64)0xffffffffffffffedU); 982 m1 = eq_mask(f1, (u64)0xffffffffffffffffU); 983 m2 = eq_mask(f2, (u64)0xffffffffffffffffU); 984 m3 = eq_mask(f3, (u64)0x7fffffffffffffffU); 985 mask = ((m0 & m1) & m2) & m3; 986 f0_ = f0 - (mask & (u64)0xffffffffffffffedU); 987 f1_ = f1 - (mask & (u64)0xffffffffffffffffU); 988 f2_ = f2 - (mask & (u64)0xffffffffffffffffU); 989 f3_ = f3 - (mask & (u64)0x7fffffffffffffffU); 990 o0 = f0_; 991 o1 = f1_; 992 o2 = f2_; 993 o3 = f3_; 994 b[0U] = o0; 995 b[1U] = o1; 996 b[2U] = o2; 997 b[3U] = o3; 998} 999 1000static void encode_point(u8 *o, const u64 *i) 1001{ 1002 const u64 *x = i; 1003 const u64 *z = i + (u32)4U; 1004 u64 tmp[4U] = { 0U }; 1005 u64 tmp_w[16U] = { 0U }; 1006 finv(tmp, z, tmp_w); 1007 fmul(tmp, tmp, x, tmp_w); 1008 store_felem((u64 *)o, tmp); 1009} 1010 1011static void curve25519_ever64(u8 *out, const u8 *priv, const u8 *pub) 1012{ 1013 u64 init1[8U] = { 0U }; 1014 u64 tmp[4U] = { 0U }; 1015 u64 tmp3; 1016 u64 *x; 1017 u64 *z; 1018 { 1019 u32 i; 1020 for (i = (u32)0U; i < (u32)4U; i = i + (u32)1U) { 1021 u64 *os = tmp; 1022 const u8 *bj = pub + i * (u32)8U; 1023 u64 u = *(u64 *)bj; 1024 u64 r = u; 1025 u64 x0 = r; 1026 os[i] = x0; 1027 } 1028 } 1029 tmp3 = tmp[3U]; 1030 tmp[3U] = tmp3 & (u64)0x7fffffffffffffffU; 1031 x = init1; 1032 z = init1 + (u32)4U; 1033 z[0U] = (u64)1U; 1034 z[1U] = (u64)0U; 1035 z[2U] = (u64)0U; 1036 z[3U] = (u64)0U; 1037 x[0U] = tmp[0U]; 1038 x[1U] = tmp[1U]; 1039 x[2U] = tmp[2U]; 1040 x[3U] = tmp[3U]; 1041 montgomery_ladder(init1, priv, init1); 1042 encode_point(out, init1); 1043} 1044 1045/* The below constants were generated using this sage script: 1046 * 1047 * #!/usr/bin/env sage 1048 * import sys 1049 * from sage.all import * 1050 * def limbs(n): 1051 * n = int(n) 1052 * l = ((n >> 0) % 2^64, (n >> 64) % 2^64, (n >> 128) % 2^64, (n >> 192) % 2^64) 1053 * return "0x%016xULL, 0x%016xULL, 0x%016xULL, 0x%016xULL" % l 1054 * ec = EllipticCurve(GF(2^255 - 19), [0, 486662, 0, 1, 0]) 1055 * p_minus_s = (ec.lift_x(9) - ec.lift_x(1))[0] 1056 * print("static const u64 p_minus_s[] = { %s };\n" % limbs(p_minus_s)) 1057 * print("static const u64 table_ladder[] = {") 1058 * p = ec.lift_x(9) 1059 * for i in range(252): 1060 * l = (p[0] + p[2]) / (p[0] - p[2]) 1061 * print(("\t%s" + ("," if i != 251 else "")) % limbs(l)) 1062 * p = p * 2 1063 * print("};") 1064 * 1065 */ 1066 1067static const u64 p_minus_s[] = { 0x816b1e0137d48290ULL, 0x440f6a51eb4d1207ULL, 0x52385f46dca2b71dULL, 0x215132111d8354cbULL }; 1068 1069static const u64 table_ladder[] = { 1070 0xfffffffffffffff3ULL, 0xffffffffffffffffULL, 0xffffffffffffffffULL, 0x5fffffffffffffffULL, 1071 0x6b8220f416aafe96ULL, 0x82ebeb2b4f566a34ULL, 0xd5a9a5b075a5950fULL, 0x5142b2cf4b2488f4ULL, 1072 0x6aaebc750069680cULL, 0x89cf7820a0f99c41ULL, 0x2a58d9183b56d0f4ULL, 0x4b5aca80e36011a4ULL, 1073 0x329132348c29745dULL, 0xf4a2e616e1642fd7ULL, 0x1e45bb03ff67bc34ULL, 0x306912d0f42a9b4aULL, 1074 0xff886507e6af7154ULL, 0x04f50e13dfeec82fULL, 0xaa512fe82abab5ceULL, 0x174e251a68d5f222ULL, 1075 0xcf96700d82028898ULL, 0x1743e3370a2c02c5ULL, 0x379eec98b4e86eaaULL, 0x0c59888a51e0482eULL, 1076 0xfbcbf1d699b5d189ULL, 0xacaef0d58e9fdc84ULL, 0xc1c20d06231f7614ULL, 0x2938218da274f972ULL, 1077 0xf6af49beff1d7f18ULL, 0xcc541c22387ac9c2ULL, 0x96fcc9ef4015c56bULL, 0x69c1627c690913a9ULL, 1078 0x7a86fd2f4733db0eULL, 0xfdb8c4f29e087de9ULL, 0x095e4b1a8ea2a229ULL, 0x1ad7a7c829b37a79ULL, 1079 0x342d89cad17ea0c0ULL, 0x67bedda6cced2051ULL, 0x19ca31bf2bb42f74ULL, 0x3df7b4c84980acbbULL, 1080 0xa8c6444dc80ad883ULL, 0xb91e440366e3ab85ULL, 0xc215cda00164f6d8ULL, 0x3d867c6ef247e668ULL, 1081 0xc7dd582bcc3e658cULL, 0xfd2c4748ee0e5528ULL, 0xa0fd9b95cc9f4f71ULL, 0x7529d871b0675ddfULL, 1082 0xb8f568b42d3cbd78ULL, 0x1233011b91f3da82ULL, 0x2dce6ccd4a7c3b62ULL, 0x75e7fc8e9e498603ULL, 1083 0x2f4f13f1fcd0b6ecULL, 0xf1a8ca1f29ff7a45ULL, 0xc249c1a72981e29bULL, 0x6ebe0dbb8c83b56aULL, 1084 0x7114fa8d170bb222ULL, 0x65a2dcd5bf93935fULL, 0xbdc41f68b59c979aULL, 0x2f0eef79a2ce9289ULL, 1085 0x42ecbf0c083c37ceULL, 0x2930bc09ec496322ULL, 0xf294b0c19cfeac0dULL, 0x3780aa4bedfabb80ULL, 1086 0x56c17d3e7cead929ULL, 0xe7cb4beb2e5722c5ULL, 0x0ce931732dbfe15aULL, 0x41b883c7621052f8ULL, 1087 0xdbf75ca0c3d25350ULL, 0x2936be086eb1e351ULL, 0xc936e03cb4a9b212ULL, 0x1d45bf82322225aaULL, 1088 0xe81ab1036a024cc5ULL, 0xe212201c304c9a72ULL, 0xc5d73fba6832b1fcULL, 0x20ffdb5a4d839581ULL, 1089 0xa283d367be5d0fadULL, 0x6c2b25ca8b164475ULL, 0x9d4935467caaf22eULL, 0x5166408eee85ff49ULL, 1090 0x3c67baa2fab4e361ULL, 0xb3e433c67ef35cefULL, 0x5259729241159b1cULL, 0x6a621892d5b0ab33ULL, 1091 0x20b74a387555cdcbULL, 0x532aa10e1208923fULL, 0xeaa17b7762281dd1ULL, 0x61ab3443f05c44bfULL, 1092 0x257a6c422324def8ULL, 0x131c6c1017e3cf7fULL, 0x23758739f630a257ULL, 0x295a407a01a78580ULL, 1093 0xf8c443246d5da8d9ULL, 0x19d775450c52fa5dULL, 0x2afcfc92731bf83dULL, 0x7d10c8e81b2b4700ULL, 1094 0xc8e0271f70baa20bULL, 0x993748867ca63957ULL, 0x5412efb3cb7ed4bbULL, 0x3196d36173e62975ULL, 1095 0xde5bcad141c7dffcULL, 0x47cc8cd2b395c848ULL, 0xa34cd942e11af3cbULL, 0x0256dbf2d04ecec2ULL, 1096 0x875ab7e94b0e667fULL, 0xcad4dd83c0850d10ULL, 0x47f12e8f4e72c79fULL, 0x5f1a87bb8c85b19bULL, 1097 0x7ae9d0b6437f51b8ULL, 0x12c7ce5518879065ULL, 0x2ade09fe5cf77aeeULL, 0x23a05a2f7d2c5627ULL, 1098 0x5908e128f17c169aULL, 0xf77498dd8ad0852dULL, 0x74b4c4ceab102f64ULL, 0x183abadd10139845ULL, 1099 0xb165ba8daa92aaacULL, 0xd5c5ef9599386705ULL, 0xbe2f8f0cf8fc40d1ULL, 0x2701e635ee204514ULL, 1100 0x629fa80020156514ULL, 0xf223868764a8c1ceULL, 0x5b894fff0b3f060eULL, 0x60d9944cf708a3faULL, 1101 0xaeea001a1c7a201fULL, 0xebf16a633ee2ce63ULL, 0x6f7709594c7a07e1ULL, 0x79b958150d0208cbULL, 1102 0x24b55e5301d410e7ULL, 0xe3a34edff3fdc84dULL, 0xd88768e4904032d8ULL, 0x131384427b3aaeecULL, 1103 0x8405e51286234f14ULL, 0x14dc4739adb4c529ULL, 0xb8a2b5b250634ffdULL, 0x2fe2a94ad8a7ff93ULL, 1104 0xec5c57efe843faddULL, 0x2843ce40f0bb9918ULL, 0xa4b561d6cf3d6305ULL, 0x743629bde8fb777eULL, 1105 0x343edd46bbaf738fULL, 0xed981828b101a651ULL, 0xa401760b882c797aULL, 0x1fc223e28dc88730ULL, 1106 0x48604e91fc0fba0eULL, 0xb637f78f052c6fa4ULL, 0x91ccac3d09e9239cULL, 0x23f7eed4437a687cULL, 1107 0x5173b1118d9bd800ULL, 0x29d641b63189d4a7ULL, 0xfdbf177988bbc586ULL, 0x2959894fcad81df5ULL, 1108 0xaebc8ef3b4bbc899ULL, 0x4148995ab26992b9ULL, 0x24e20b0134f92cfbULL, 0x40d158894a05dee8ULL, 1109 0x46b00b1185af76f6ULL, 0x26bac77873187a79ULL, 0x3dc0bf95ab8fff5fULL, 0x2a608bd8945524d7ULL, 1110 0x26449588bd446302ULL, 0x7c4bc21c0388439cULL, 0x8e98a4f383bd11b2ULL, 0x26218d7bc9d876b9ULL, 1111 0xe3081542997c178aULL, 0x3c2d29a86fb6606fULL, 0x5c217736fa279374ULL, 0x7dde05734afeb1faULL, 1112 0x3bf10e3906d42babULL, 0xe4f7803e1980649cULL, 0xe6053bf89595bf7aULL, 0x394faf38da245530ULL, 1113 0x7a8efb58896928f4ULL, 0xfbc778e9cc6a113cULL, 0x72670ce330af596fULL, 0x48f222a81d3d6cf7ULL, 1114 0xf01fce410d72caa7ULL, 0x5a20ecc7213b5595ULL, 0x7bc21165c1fa1483ULL, 0x07f89ae31da8a741ULL, 1115 0x05d2c2b4c6830ff9ULL, 0xd43e330fc6316293ULL, 0xa5a5590a96d3a904ULL, 0x705edb91a65333b6ULL, 1116 0x048ee15e0bb9a5f7ULL, 0x3240cfca9e0aaf5dULL, 0x8f4b71ceedc4a40bULL, 0x621c0da3de544a6dULL, 1117 0x92872836a08c4091ULL, 0xce8375b010c91445ULL, 0x8a72eb524f276394ULL, 0x2667fcfa7ec83635ULL, 1118 0x7f4c173345e8752aULL, 0x061b47feee7079a5ULL, 0x25dd9afa9f86ff34ULL, 0x3780cef5425dc89cULL, 1119 0x1a46035a513bb4e9ULL, 0x3e1ef379ac575adaULL, 0xc78c5f1c5fa24b50ULL, 0x321a967634fd9f22ULL, 1120 0x946707b8826e27faULL, 0x3dca84d64c506fd0ULL, 0xc189218075e91436ULL, 0x6d9284169b3b8484ULL, 1121 0x3a67e840383f2ddfULL, 0x33eec9a30c4f9b75ULL, 0x3ec7c86fa783ef47ULL, 0x26ec449fbac9fbc4ULL, 1122 0x5c0f38cba09b9e7dULL, 0x81168cc762a3478cULL, 0x3e23b0d306fc121cULL, 0x5a238aa0a5efdcddULL, 1123 0x1ba26121c4ea43ffULL, 0x36f8c77f7c8832b5ULL, 0x88fbea0b0adcf99aULL, 0x5ca9938ec25bebf9ULL, 1124 0xd5436a5e51fccda0ULL, 0x1dbc4797c2cd893bULL, 0x19346a65d3224a08ULL, 0x0f5034e49b9af466ULL, 1125 0xf23c3967a1e0b96eULL, 0xe58b08fa867a4d88ULL, 0xfb2fabc6a7341679ULL, 0x2a75381eb6026946ULL, 1126 0xc80a3be4c19420acULL, 0x66b1f6c681f2b6dcULL, 0x7cf7036761e93388ULL, 0x25abbbd8a660a4c4ULL, 1127 0x91ea12ba14fd5198ULL, 0x684950fc4a3cffa9ULL, 0xf826842130f5ad28ULL, 0x3ea988f75301a441ULL, 1128 0xc978109a695f8c6fULL, 0x1746eb4a0530c3f3ULL, 0x444d6d77b4459995ULL, 0x75952b8c054e5cc7ULL, 1129 0xa3703f7915f4d6aaULL, 0x66c346202f2647d8ULL, 0xd01469df811d644bULL, 0x77fea47d81a5d71fULL, 1130 0xc5e9529ef57ca381ULL, 0x6eeeb4b9ce2f881aULL, 0xb6e91a28e8009bd6ULL, 0x4b80be3e9afc3fecULL, 1131 0x7e3773c526aed2c5ULL, 0x1b4afcb453c9a49dULL, 0xa920bdd7baffb24dULL, 0x7c54699f122d400eULL, 1132 0xef46c8e14fa94bc8ULL, 0xe0b074ce2952ed5eULL, 0xbea450e1dbd885d5ULL, 0x61b68649320f712cULL, 1133 0x8a485f7309ccbdd1ULL, 0xbd06320d7d4d1a2dULL, 0x25232973322dbef4ULL, 0x445dc4758c17f770ULL, 1134 0xdb0434177cc8933cULL, 0xed6fe82175ea059fULL, 0x1efebefdc053db34ULL, 0x4adbe867c65daf99ULL, 1135 0x3acd71a2a90609dfULL, 0xe5e991856dd04050ULL, 0x1ec69b688157c23cULL, 0x697427f6885cfe4dULL, 1136 0xd7be7b9b65e1a851ULL, 0xa03d28d522c536ddULL, 0x28399d658fd2b645ULL, 0x49e5b7e17c2641e1ULL, 1137 0x6f8c3a98700457a4ULL, 0x5078f0a25ebb6778ULL, 0xd13c3ccbc382960fULL, 0x2e003258a7df84b1ULL, 1138 0x8ad1f39be6296a1cULL, 0xc1eeaa652a5fbfb2ULL, 0x33ee0673fd26f3cbULL, 0x59256173a69d2cccULL, 1139 0x41ea07aa4e18fc41ULL, 0xd9fc19527c87a51eULL, 0xbdaacb805831ca6fULL, 0x445b652dc916694fULL, 1140 0xce92a3a7f2172315ULL, 0x1edc282de11b9964ULL, 0xa1823aafe04c314aULL, 0x790a2d94437cf586ULL, 1141 0x71c447fb93f6e009ULL, 0x8922a56722845276ULL, 0xbf70903b204f5169ULL, 0x2f7a89891ba319feULL, 1142 0x02a08eb577e2140cULL, 0xed9a4ed4427bdcf4ULL, 0x5253ec44e4323cd1ULL, 0x3e88363c14e9355bULL, 1143 0xaa66c14277110b8cULL, 0x1ae0391610a23390ULL, 0x2030bd12c93fc2a2ULL, 0x3ee141579555c7abULL, 1144 0x9214de3a6d6e7d41ULL, 0x3ccdd88607f17efeULL, 0x674f1288f8e11217ULL, 0x5682250f329f93d0ULL, 1145 0x6cf00b136d2e396eULL, 0x6e4cf86f1014debfULL, 0x5930b1b5bfcc4e83ULL, 0x047069b48aba16b6ULL, 1146 0x0d4ce4ab69b20793ULL, 0xb24db91a97d0fb9eULL, 0xcdfa50f54e00d01dULL, 0x221b1085368bddb5ULL, 1147 0xe7e59468b1e3d8d2ULL, 0x53c56563bd122f93ULL, 0xeee8a903e0663f09ULL, 0x61efa662cbbe3d42ULL, 1148 0x2cf8ddddde6eab2aULL, 0x9bf80ad51435f231ULL, 0x5deadacec9f04973ULL, 0x29275b5d41d29b27ULL, 1149 0xcfde0f0895ebf14fULL, 0xb9aab96b054905a7ULL, 0xcae80dd9a1c420fdULL, 0x0a63bf2f1673bbc7ULL, 1150 0x092f6e11958fbc8cULL, 0x672a81e804822fadULL, 0xcac8351560d52517ULL, 0x6f3f7722c8f192f8ULL, 1151 0xf8ba90ccc2e894b7ULL, 0x2c7557a438ff9f0dULL, 0x894d1d855ae52359ULL, 0x68e122157b743d69ULL, 1152 0xd87e5570cfb919f3ULL, 0x3f2cdecd95798db9ULL, 0x2121154710c0a2ceULL, 0x3c66a115246dc5b2ULL, 1153 0xcbedc562294ecb72ULL, 0xba7143c36a280b16ULL, 0x9610c2efd4078b67ULL, 0x6144735d946a4b1eULL, 1154 0x536f111ed75b3350ULL, 0x0211db8c2041d81bULL, 0xf93cb1000e10413cULL, 0x149dfd3c039e8876ULL, 1155 0xd479dde46b63155bULL, 0xb66e15e93c837976ULL, 0xdafde43b1f13e038ULL, 0x5fafda1a2e4b0b35ULL, 1156 0x3600bbdf17197581ULL, 0x3972050bbe3cd2c2ULL, 0x5938906dbdd5be86ULL, 0x34fce5e43f9b860fULL, 1157 0x75a8a4cd42d14d02ULL, 0x828dabc53441df65ULL, 0x33dcabedd2e131d3ULL, 0x3ebad76fb814d25fULL, 1158 0xd4906f566f70e10fULL, 0x5d12f7aa51690f5aULL, 0x45adb16e76cefcf2ULL, 0x01f768aead232999ULL, 1159 0x2b6cc77b6248febdULL, 0x3cd30628ec3aaffdULL, 0xce1c0b80d4ef486aULL, 0x4c3bff2ea6f66c23ULL, 1160 0x3f2ec4094aeaeb5fULL, 0x61b19b286e372ca7ULL, 0x5eefa966de2a701dULL, 0x23b20565de55e3efULL, 1161 0xe301ca5279d58557ULL, 0x07b2d4ce27c2874fULL, 0xa532cd8a9dcf1d67ULL, 0x2a52fee23f2bff56ULL, 1162 0x8624efb37cd8663dULL, 0xbbc7ac20ffbd7594ULL, 0x57b85e9c82d37445ULL, 0x7b3052cb86a6ec66ULL, 1163 0x3482f0ad2525e91eULL, 0x2cb68043d28edca0ULL, 0xaf4f6d052e1b003aULL, 0x185f8c2529781b0aULL, 1164 0xaa41de5bd80ce0d6ULL, 0x9407b2416853e9d6ULL, 0x563ec36e357f4c3aULL, 0x4cc4b8dd0e297bceULL, 1165 0xa2fc1a52ffb8730eULL, 0x1811f16e67058e37ULL, 0x10f9a366cddf4ee1ULL, 0x72f4a0c4a0b9f099ULL, 1166 0x8c16c06f663f4ea7ULL, 0x693b3af74e970fbaULL, 0x2102e7f1d69ec345ULL, 0x0ba53cbc968a8089ULL, 1167 0xca3d9dc7fea15537ULL, 0x4c6824bb51536493ULL, 0xb9886314844006b1ULL, 0x40d2a72ab454cc60ULL, 1168 0x5936a1b712570975ULL, 0x91b9d648debda657ULL, 0x3344094bb64330eaULL, 0x006ba10d12ee51d0ULL, 1169 0x19228468f5de5d58ULL, 0x0eb12f4c38cc05b0ULL, 0xa1039f9dd5601990ULL, 0x4502d4ce4fff0e0bULL, 1170 0xeb2054106837c189ULL, 0xd0f6544c6dd3b93cULL, 0x40727064c416d74fULL, 0x6e15c6114b502ef0ULL, 1171 0x4df2a398cfb1a76bULL, 0x11256c7419f2f6b1ULL, 0x4a497962066e6043ULL, 0x705b3aab41355b44ULL, 1172 0x365ef536d797b1d8ULL, 0x00076bd622ddf0dbULL, 0x3bbf33b0e0575a88ULL, 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0x07f650b73176c444ULL, 1296 0xe38b9b1626e0ccb1ULL, 0x79e053c18b09fb36ULL, 0x56d90319c9f94964ULL, 0x1ca941e7ac9ff5c4ULL, 1297 0x49c4df29162fa0bbULL, 0x8488cf3282b33305ULL, 0x95dfda14cabb437dULL, 0x3391f78264d5ad86ULL, 1298 0x729ae06ae2b5095dULL, 0xd58a58d73259a946ULL, 0xe9834262d13921edULL, 0x27fedafaa54bb592ULL, 1299 0xa99dc5b829ad48bbULL, 0x5f025742499ee260ULL, 0x802c8ecd5d7513fdULL, 0x78ceb3ef3f6dd938ULL, 1300 0xc342f44f8a135d94ULL, 0x7b9edb44828cdda3ULL, 0x9436d11a0537cfe7ULL, 0x5064b164ec1ab4c8ULL, 1301 0x7020eccfd37eb2fcULL, 0x1f31ea3ed90d25fcULL, 0x1b930d7bdfa1bb34ULL, 0x5344467a48113044ULL, 1302 0x70073170f25e6dfbULL, 0xe385dc1a50114cc8ULL, 0x2348698ac8fc4f00ULL, 0x2a77a55284dd40d8ULL, 1303 0xfe06afe0c98c6ce4ULL, 0xc235df96dddfd6e4ULL, 0x1428d01e33bf1ed3ULL, 0x785768ec9300bdafULL, 1304 0x9702e57a91deb63bULL, 0x61bdb8bfe5ce8b80ULL, 0x645b426f3d1d58acULL, 0x4804a82227a557bcULL, 1305 0x8e57048ab44d2601ULL, 0x68d6501a4b3a6935ULL, 0xc39c9ec3f9e1c293ULL, 0x4172f257d4de63e2ULL, 1306 0xd368b450330c6401ULL, 0x040d3017418f2391ULL, 0x2c34bb6090b7d90dULL, 0x16f649228fdfd51fULL, 1307 0xbea6818e2b928ef5ULL, 0xe28ccf91cdc11e72ULL, 0x594aaa68e77a36cdULL, 0x313034806c7ffd0fULL, 1308 0x8a9d27ac2249bd65ULL, 0x19a3b464018e9512ULL, 0xc26ccff352b37ec7ULL, 0x056f68341d797b21ULL, 1309 0x5e79d6757efd2327ULL, 0xfabdbcb6553afe15ULL, 0xd3e7222c6eaf5a60ULL, 0x7046c76d4dae743bULL, 1310 0x660be872b18d4a55ULL, 0x19992518574e1496ULL, 0xc103053a302bdcbbULL, 0x3ed8e9800b218e8eULL, 1311 0x7b0b9239fa75e03eULL, 0xefe9fb684633c083ULL, 0x98a35fbe391a7793ULL, 0x6065510fe2d0fe34ULL, 1312 0x55cb668548abad0cULL, 0xb4584548da87e527ULL, 0x2c43ecea0107c1ddULL, 0x526028809372de35ULL, 1313 0x3415c56af9213b1fULL, 0x5bee1a4d017e98dbULL, 0x13f6b105b5cf709bULL, 0x5ff20e3482b29ab6ULL, 1314 0x0aa29c75cc2e6c90ULL, 0xfc7d73ca3a70e206ULL, 0x899fc38fc4b5c515ULL, 0x250386b124ffc207ULL, 1315 0x54ea28d5ae3d2b56ULL, 0x9913149dd6de60ceULL, 0x16694fc58f06d6c1ULL, 0x46b23975eb018fc7ULL, 1316 0x470a6a0fb4b7b4e2ULL, 0x5d92475a8f7253deULL, 0xabeee5b52fbd3adbULL, 0x7fa20801a0806968ULL, 1317 0x76f3faf19f7714d2ULL, 0xb3e840c12f4660c3ULL, 0x0fb4cd8df212744eULL, 0x4b065a251d3a2dd2ULL, 1318 0x5cebde383d77cd4aULL, 0x6adf39df882c9cb1ULL, 0xa2dd242eb09af759ULL, 0x3147c0e50e5f6422ULL, 1319 0x164ca5101d1350dbULL, 0xf8d13479c33fc962ULL, 0xe640ce4d13e5da08ULL, 0x4bdee0c45061f8baULL, 1320 0xd7c46dc1a4edb1c9ULL, 0x5514d7b6437fd98aULL, 0x58942f6bb2a1c00bULL, 0x2dffb2ab1d70710eULL, 1321 0xccdfcf2fc18b6d68ULL, 0xa8ebcba8b7806167ULL, 0x980697f95e2937e3ULL, 0x02fbba1cd0126e8cULL 1322}; 1323 1324static void curve25519_ever64_base(u8 *out, const u8 *priv) 1325{ 1326 u64 swap = 1; 1327 int i, j, k; 1328 u64 tmp[16 + 32 + 4]; 1329 u64 *x1 = &tmp[0]; 1330 u64 *z1 = &tmp[4]; 1331 u64 *x2 = &tmp[8]; 1332 u64 *z2 = &tmp[12]; 1333 u64 *xz1 = &tmp[0]; 1334 u64 *xz2 = &tmp[8]; 1335 u64 *a = &tmp[0 + 16]; 1336 u64 *b = &tmp[4 + 16]; 1337 u64 *c = &tmp[8 + 16]; 1338 u64 *ab = &tmp[0 + 16]; 1339 u64 *abcd = &tmp[0 + 16]; 1340 u64 *ef = &tmp[16 + 16]; 1341 u64 *efgh = &tmp[16 + 16]; 1342 u64 *key = &tmp[0 + 16 + 32]; 1343 1344 memcpy(key, priv, 32); 1345 ((u8 *)key)[0] &= 248; 1346 ((u8 *)key)[31] = (((u8 *)key)[31] & 127) | 64; 1347 1348 x1[0] = 1, x1[1] = x1[2] = x1[3] = 0; 1349 z1[0] = 1, z1[1] = z1[2] = z1[3] = 0; 1350 z2[0] = 1, z2[1] = z2[2] = z2[3] = 0; 1351 memcpy(x2, p_minus_s, sizeof(p_minus_s)); 1352 1353 j = 3; 1354 for (i = 0; i < 4; ++i) { 1355 while (j < (const int[]){ 64, 64, 64, 63 }[i]) { 1356 u64 bit = (key[i] >> j) & 1; 1357 k = (64 * i + j - 3); 1358 swap = swap ^ bit; 1359 cswap2(swap, xz1, xz2); 1360 swap = bit; 1361 fsub(b, x1, z1); 1362 fadd(a, x1, z1); 1363 fmul(c, &table_ladder[4 * k], b, ef); 1364 fsub(b, a, c); 1365 fadd(a, a, c); 1366 fsqr2(ab, ab, efgh); 1367 fmul2(xz1, xz2, ab, efgh); 1368 ++j; 1369 } 1370 j = 0; 1371 } 1372 1373 point_double(xz1, abcd, efgh); 1374 point_double(xz1, abcd, efgh); 1375 point_double(xz1, abcd, efgh); 1376 encode_point(out, xz1); 1377 1378 memzero_explicit(tmp, sizeof(tmp)); 1379} 1380 1381static __ro_after_init DEFINE_STATIC_KEY_FALSE(curve25519_use_bmi2_adx); 1382 1383void curve25519_arch(u8 mypublic[CURVE25519_KEY_SIZE], 1384 const u8 secret[CURVE25519_KEY_SIZE], 1385 const u8 basepoint[CURVE25519_KEY_SIZE]) 1386{ 1387 if (static_branch_likely(&curve25519_use_bmi2_adx)) 1388 curve25519_ever64(mypublic, secret, basepoint); 1389 else 1390 curve25519_generic(mypublic, secret, basepoint); 1391} 1392EXPORT_SYMBOL(curve25519_arch); 1393 1394void curve25519_base_arch(u8 pub[CURVE25519_KEY_SIZE], 1395 const u8 secret[CURVE25519_KEY_SIZE]) 1396{ 1397 if (static_branch_likely(&curve25519_use_bmi2_adx)) 1398 curve25519_ever64_base(pub, secret); 1399 else 1400 curve25519_generic(pub, secret, curve25519_base_point); 1401} 1402EXPORT_SYMBOL(curve25519_base_arch); 1403 1404static int curve25519_set_secret(struct crypto_kpp *tfm, const void *buf, 1405 unsigned int len) 1406{ 1407 u8 *secret = kpp_tfm_ctx(tfm); 1408 1409 if (!len) 1410 curve25519_generate_secret(secret); 1411 else if (len == CURVE25519_KEY_SIZE && 1412 crypto_memneq(buf, curve25519_null_point, CURVE25519_KEY_SIZE)) 1413 memcpy(secret, buf, CURVE25519_KEY_SIZE); 1414 else 1415 return -EINVAL; 1416 return 0; 1417} 1418 1419static int curve25519_generate_public_key(struct kpp_request *req) 1420{ 1421 struct crypto_kpp *tfm = crypto_kpp_reqtfm(req); 1422 const u8 *secret = kpp_tfm_ctx(tfm); 1423 u8 buf[CURVE25519_KEY_SIZE]; 1424 int copied, nbytes; 1425 1426 if (req->src) 1427 return -EINVAL; 1428 1429 curve25519_base_arch(buf, secret); 1430 1431 /* might want less than we've got */ 1432 nbytes = min_t(size_t, CURVE25519_KEY_SIZE, req->dst_len); 1433 copied = sg_copy_from_buffer(req->dst, sg_nents_for_len(req->dst, 1434 nbytes), 1435 buf, nbytes); 1436 if (copied != nbytes) 1437 return -EINVAL; 1438 return 0; 1439} 1440 1441static int curve25519_compute_shared_secret(struct kpp_request *req) 1442{ 1443 struct crypto_kpp *tfm = crypto_kpp_reqtfm(req); 1444 const u8 *secret = kpp_tfm_ctx(tfm); 1445 u8 public_key[CURVE25519_KEY_SIZE]; 1446 u8 buf[CURVE25519_KEY_SIZE]; 1447 int copied, nbytes; 1448 1449 if (!req->src) 1450 return -EINVAL; 1451 1452 copied = sg_copy_to_buffer(req->src, 1453 sg_nents_for_len(req->src, 1454 CURVE25519_KEY_SIZE), 1455 public_key, CURVE25519_KEY_SIZE); 1456 if (copied != CURVE25519_KEY_SIZE) 1457 return -EINVAL; 1458 1459 curve25519_arch(buf, secret, public_key); 1460 1461 /* might want less than we've got */ 1462 nbytes = min_t(size_t, CURVE25519_KEY_SIZE, req->dst_len); 1463 copied = sg_copy_from_buffer(req->dst, sg_nents_for_len(req->dst, 1464 nbytes), 1465 buf, nbytes); 1466 if (copied != nbytes) 1467 return -EINVAL; 1468 return 0; 1469} 1470 1471static unsigned int curve25519_max_size(struct crypto_kpp *tfm) 1472{ 1473 return CURVE25519_KEY_SIZE; 1474} 1475 1476static struct kpp_alg curve25519_alg = { 1477 .base.cra_name = "curve25519", 1478 .base.cra_driver_name = "curve25519-x86", 1479 .base.cra_priority = 200, 1480 .base.cra_module = THIS_MODULE, 1481 .base.cra_ctxsize = CURVE25519_KEY_SIZE, 1482 1483 .set_secret = curve25519_set_secret, 1484 .generate_public_key = curve25519_generate_public_key, 1485 .compute_shared_secret = curve25519_compute_shared_secret, 1486 .max_size = curve25519_max_size, 1487}; 1488 1489 1490static int __init curve25519_mod_init(void) 1491{ 1492 if (boot_cpu_has(X86_FEATURE_BMI2) && boot_cpu_has(X86_FEATURE_ADX)) 1493 static_branch_enable(&curve25519_use_bmi2_adx); 1494 else 1495 return 0; 1496 return IS_REACHABLE(CONFIG_CRYPTO_KPP) ? 1497 crypto_register_kpp(&curve25519_alg) : 0; 1498} 1499 1500static void __exit curve25519_mod_exit(void) 1501{ 1502 if (IS_REACHABLE(CONFIG_CRYPTO_KPP) && 1503 static_branch_likely(&curve25519_use_bmi2_adx)) 1504 crypto_unregister_kpp(&curve25519_alg); 1505} 1506 1507module_init(curve25519_mod_init); 1508module_exit(curve25519_mod_exit); 1509 1510MODULE_ALIAS_CRYPTO("curve25519"); 1511MODULE_ALIAS_CRYPTO("curve25519-x86"); 1512MODULE_LICENSE("GPL v2"); 1513MODULE_AUTHOR("Jason A. Donenfeld <Jason@zx2c4.com>"); 1514