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	return carry_r;
  72}
  73
  74/* Computes the field addition of two field elements */
  75static inline void fadd(u64 *out, const u64 *f1, const u64 *f2)
  76{
  77	asm volatile(
  78		/* Compute the raw addition of f1 + f2 */
  79		"  movq 0(%0), %%r8;"
  80		"  addq 0(%2), %%r8;"
  81		"  movq 8(%0), %%r9;"
  82		"  adcxq 8(%2), %%r9;"
  83		"  movq 16(%0), %%r10;"
  84		"  adcxq 16(%2), %%r10;"
  85		"  movq 24(%0), %%r11;"
  86		"  adcxq 24(%2), %%r11;"
  87
  88		/* Wrap the result back into the field */
  89
  90		/* Step 1: Compute carry*38 */
  91		"  mov $0, %%rax;"
  92		"  mov $38, %0;"
  93		"  cmovc %0, %%rax;"
  94
  95		/* Step 2: Add carry*38 to the original sum */
  96		"  xor %%ecx, %%ecx;"
  97		"  add %%rax, %%r8;"
  98		"  adcx %%rcx, %%r9;"
  99		"  movq %%r9, 8(%1);"
 100		"  adcx %%rcx, %%r10;"
 101		"  movq %%r10, 16(%1);"
 102		"  adcx %%rcx, %%r11;"
 103		"  movq %%r11, 24(%1);"
 104
 105		/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
 106		"  mov $0, %%rax;"
 107		"  cmovc %0, %%rax;"
 108		"  add %%rax, %%r8;"
 109		"  movq %%r8, 0(%1);"
 110		: "+&r"(f2)
 111		: "r"(out), "r"(f1)
 112		: "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc");
 
 113}
 114
 115/* Computes the field subtraction of two field elements */
 116static inline void fsub(u64 *out, const u64 *f1, const u64 *f2)
 117{
 118	asm volatile(
 119		/* Compute the raw subtraction of f1-f2 */
 120		"  movq 0(%1), %%r8;"
 121		"  subq 0(%2), %%r8;"
 122		"  movq 8(%1), %%r9;"
 123		"  sbbq 8(%2), %%r9;"
 124		"  movq 16(%1), %%r10;"
 125		"  sbbq 16(%2), %%r10;"
 126		"  movq 24(%1), %%r11;"
 127		"  sbbq 24(%2), %%r11;"
 128
 129		/* Wrap the result back into the field */
 130
 131		/* Step 1: Compute carry*38 */
 132		"  mov $0, %%rax;"
 133		"  mov $38, %%rcx;"
 134		"  cmovc %%rcx, %%rax;"
 135
 136		/* Step 2: Subtract carry*38 from the original difference */
 137		"  sub %%rax, %%r8;"
 138		"  sbb $0, %%r9;"
 139		"  sbb $0, %%r10;"
 140		"  sbb $0, %%r11;"
 141
 142		/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
 143		"  mov $0, %%rax;"
 144		"  cmovc %%rcx, %%rax;"
 145		"  sub %%rax, %%r8;"
 146
 147		/* Store the result */
 148		"  movq %%r8, 0(%0);"
 149		"  movq %%r9, 8(%0);"
 150		"  movq %%r10, 16(%0);"
 151		"  movq %%r11, 24(%0);"
 152		:
 153		: "r"(out), "r"(f1), "r"(f2)
 154		: "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc");
 
 155}
 156
 157/* Computes a field multiplication: out <- f1 * f2
 158 * Uses the 8-element buffer tmp for intermediate results */
 159static inline void fmul(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp)
 160{
 161	asm volatile(
 162
 163		/* Compute the raw multiplication: tmp <- src1 * src2 */
 164
 165		/* Compute src1[0] * src2 */
 166		"  movq 0(%0), %%rdx;"
 167		"  mulxq 0(%1), %%r8, %%r9;"
 168		"  xor %%r10d, %%r10d;"
 169		"  movq %%r8, 0(%2);"
 170		"  mulxq 8(%1), %%r10, %%r11;"
 171		"  adox %%r9, %%r10;"
 172		"  movq %%r10, 8(%2);"
 173		"  mulxq 16(%1), %%rbx, %%r13;"
 174		"  adox %%r11, %%rbx;"
 175		"  mulxq 24(%1), %%r14, %%rdx;"
 176		"  adox %%r13, %%r14;"
 177		"  mov $0, %%rax;"
 178		"  adox %%rdx, %%rax;"
 179
 180		/* Compute src1[1] * src2 */
 181		"  movq 8(%0), %%rdx;"
 182		"  mulxq 0(%1), %%r8, %%r9;"
 183		"  xor %%r10d, %%r10d;"
 184		"  adcxq 8(%2), %%r8;"
 185		"  movq %%r8, 8(%2);"
 186		"  mulxq 8(%1), %%r10, %%r11;"
 187		"  adox %%r9, %%r10;"
 188		"  adcx %%rbx, %%r10;"
 189		"  movq %%r10, 16(%2);"
 190		"  mulxq 16(%1), %%rbx, %%r13;"
 191		"  adox %%r11, %%rbx;"
 192		"  adcx %%r14, %%rbx;"
 193		"  mov $0, %%r8;"
 194		"  mulxq 24(%1), %%r14, %%rdx;"
 195		"  adox %%r13, %%r14;"
 196		"  adcx %%rax, %%r14;"
 197		"  mov $0, %%rax;"
 198		"  adox %%rdx, %%rax;"
 199		"  adcx %%r8, %%rax;"
 200
 201		/* Compute src1[2] * src2 */
 202		"  movq 16(%0), %%rdx;"
 203		"  mulxq 0(%1), %%r8, %%r9;"
 204		"  xor %%r10d, %%r10d;"
 205		"  adcxq 16(%2), %%r8;"
 206		"  movq %%r8, 16(%2);"
 207		"  mulxq 8(%1), %%r10, %%r11;"
 208		"  adox %%r9, %%r10;"
 209		"  adcx %%rbx, %%r10;"
 210		"  movq %%r10, 24(%2);"
 211		"  mulxq 16(%1), %%rbx, %%r13;"
 212		"  adox %%r11, %%rbx;"
 213		"  adcx %%r14, %%rbx;"
 214		"  mov $0, %%r8;"
 215		"  mulxq 24(%1), %%r14, %%rdx;"
 216		"  adox %%r13, %%r14;"
 217		"  adcx %%rax, %%r14;"
 218		"  mov $0, %%rax;"
 219		"  adox %%rdx, %%rax;"
 220		"  adcx %%r8, %%rax;"
 221
 222		/* Compute src1[3] * src2 */
 223		"  movq 24(%0), %%rdx;"
 224		"  mulxq 0(%1), %%r8, %%r9;"
 225		"  xor %%r10d, %%r10d;"
 226		"  adcxq 24(%2), %%r8;"
 227		"  movq %%r8, 24(%2);"
 228		"  mulxq 8(%1), %%r10, %%r11;"
 229		"  adox %%r9, %%r10;"
 230		"  adcx %%rbx, %%r10;"
 231		"  movq %%r10, 32(%2);"
 232		"  mulxq 16(%1), %%rbx, %%r13;"
 233		"  adox %%r11, %%rbx;"
 234		"  adcx %%r14, %%rbx;"
 235		"  movq %%rbx, 40(%2);"
 236		"  mov $0, %%r8;"
 237		"  mulxq 24(%1), %%r14, %%rdx;"
 238		"  adox %%r13, %%r14;"
 239		"  adcx %%rax, %%r14;"
 240		"  movq %%r14, 48(%2);"
 241		"  mov $0, %%rax;"
 242		"  adox %%rdx, %%rax;"
 243		"  adcx %%r8, %%rax;"
 244		"  movq %%rax, 56(%2);"
 245
 246		/* Line up pointers */
 
 247		"  mov %2, %0;"
 248		"  mov %3, %2;"
 249
 250		/* Wrap the result back into the field */
 251
 252		/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
 253		"  mov $38, %%rdx;"
 254		"  mulxq 32(%0), %%r8, %%r13;"
 255		"  xor %k1, %k1;"
 256		"  adoxq 0(%0), %%r8;"
 257		"  mulxq 40(%0), %%r9, %%rbx;"
 258		"  adcx %%r13, %%r9;"
 259		"  adoxq 8(%0), %%r9;"
 260		"  mulxq 48(%0), %%r10, %%r13;"
 261		"  adcx %%rbx, %%r10;"
 262		"  adoxq 16(%0), %%r10;"
 263		"  mulxq 56(%0), %%r11, %%rax;"
 264		"  adcx %%r13, %%r11;"
 265		"  adoxq 24(%0), %%r11;"
 266		"  adcx %1, %%rax;"
 267		"  adox %1, %%rax;"
 268		"  imul %%rdx, %%rax;"
 269
 270		/* Step 2: Fold the carry back into dst */
 271		"  add %%rax, %%r8;"
 272		"  adcx %1, %%r9;"
 273		"  movq %%r9, 8(%2);"
 274		"  adcx %1, %%r10;"
 275		"  movq %%r10, 16(%2);"
 276		"  adcx %1, %%r11;"
 277		"  movq %%r11, 24(%2);"
 278
 279		/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
 280		"  mov $0, %%rax;"
 281		"  cmovc %%rdx, %%rax;"
 282		"  add %%rax, %%r8;"
 283		"  movq %%r8, 0(%2);"
 284		: "+&r"(f1), "+&r"(f2), "+&r"(tmp)
 285		: "r"(out)
 286		: "%rax", "%rbx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r13",
 287		  "%r14", "memory", "cc");
 288}
 289
 290/* Computes two field multiplications:
 291 *   out[0] <- f1[0] * f2[0]
 292 *   out[1] <- f1[1] * f2[1]
 293 * Uses the 16-element buffer tmp for intermediate results: */
 294static inline void fmul2(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp)
 295{
 296	asm volatile(
 297
 298		/* Compute the raw multiplication tmp[0] <- f1[0] * f2[0] */
 299
 300		/* Compute src1[0] * src2 */
 301		"  movq 0(%0), %%rdx;"
 302		"  mulxq 0(%1), %%r8, %%r9;"
 303		"  xor %%r10d, %%r10d;"
 304		"  movq %%r8, 0(%2);"
 305		"  mulxq 8(%1), %%r10, %%r11;"
 306		"  adox %%r9, %%r10;"
 307		"  movq %%r10, 8(%2);"
 308		"  mulxq 16(%1), %%rbx, %%r13;"
 309		"  adox %%r11, %%rbx;"
 310		"  mulxq 24(%1), %%r14, %%rdx;"
 311		"  adox %%r13, %%r14;"
 312		"  mov $0, %%rax;"
 313		"  adox %%rdx, %%rax;"
 314
 315		/* Compute src1[1] * src2 */
 316		"  movq 8(%0), %%rdx;"
 317		"  mulxq 0(%1), %%r8, %%r9;"
 318		"  xor %%r10d, %%r10d;"
 319		"  adcxq 8(%2), %%r8;"
 320		"  movq %%r8, 8(%2);"
 321		"  mulxq 8(%1), %%r10, %%r11;"
 322		"  adox %%r9, %%r10;"
 323		"  adcx %%rbx, %%r10;"
 324		"  movq %%r10, 16(%2);"
 325		"  mulxq 16(%1), %%rbx, %%r13;"
 326		"  adox %%r11, %%rbx;"
 327		"  adcx %%r14, %%rbx;"
 328		"  mov $0, %%r8;"
 329		"  mulxq 24(%1), %%r14, %%rdx;"
 330		"  adox %%r13, %%r14;"
 331		"  adcx %%rax, %%r14;"
 332		"  mov $0, %%rax;"
 333		"  adox %%rdx, %%rax;"
 334		"  adcx %%r8, %%rax;"
 335
 336		/* Compute src1[2] * src2 */
 337		"  movq 16(%0), %%rdx;"
 338		"  mulxq 0(%1), %%r8, %%r9;"
 339		"  xor %%r10d, %%r10d;"
 340		"  adcxq 16(%2), %%r8;"
 341		"  movq %%r8, 16(%2);"
 342		"  mulxq 8(%1), %%r10, %%r11;"
 343		"  adox %%r9, %%r10;"
 344		"  adcx %%rbx, %%r10;"
 345		"  movq %%r10, 24(%2);"
 346		"  mulxq 16(%1), %%rbx, %%r13;"
 347		"  adox %%r11, %%rbx;"
 348		"  adcx %%r14, %%rbx;"
 349		"  mov $0, %%r8;"
 350		"  mulxq 24(%1), %%r14, %%rdx;"
 351		"  adox %%r13, %%r14;"
 352		"  adcx %%rax, %%r14;"
 353		"  mov $0, %%rax;"
 354		"  adox %%rdx, %%rax;"
 355		"  adcx %%r8, %%rax;"
 356
 357		/* Compute src1[3] * src2 */
 358		"  movq 24(%0), %%rdx;"
 359		"  mulxq 0(%1), %%r8, %%r9;"
 360		"  xor %%r10d, %%r10d;"
 361		"  adcxq 24(%2), %%r8;"
 362		"  movq %%r8, 24(%2);"
 363		"  mulxq 8(%1), %%r10, %%r11;"
 364		"  adox %%r9, %%r10;"
 365		"  adcx %%rbx, %%r10;"
 366		"  movq %%r10, 32(%2);"
 367		"  mulxq 16(%1), %%rbx, %%r13;"
 368		"  adox %%r11, %%rbx;"
 369		"  adcx %%r14, %%rbx;"
 370		"  movq %%rbx, 40(%2);"
 371		"  mov $0, %%r8;"
 372		"  mulxq 24(%1), %%r14, %%rdx;"
 373		"  adox %%r13, %%r14;"
 374		"  adcx %%rax, %%r14;"
 375		"  movq %%r14, 48(%2);"
 376		"  mov $0, %%rax;"
 377		"  adox %%rdx, %%rax;"
 378		"  adcx %%r8, %%rax;"
 379		"  movq %%rax, 56(%2);"
 380
 381		/* Compute the raw multiplication tmp[1] <- f1[1] * f2[1] */
 382
 383		/* Compute src1[0] * src2 */
 384		"  movq 32(%0), %%rdx;"
 385		"  mulxq 32(%1), %%r8, %%r9;"
 386		"  xor %%r10d, %%r10d;"
 387		"  movq %%r8, 64(%2);"
 388		"  mulxq 40(%1), %%r10, %%r11;"
 389		"  adox %%r9, %%r10;"
 390		"  movq %%r10, 72(%2);"
 391		"  mulxq 48(%1), %%rbx, %%r13;"
 392		"  adox %%r11, %%rbx;"
 393		"  mulxq 56(%1), %%r14, %%rdx;"
 394		"  adox %%r13, %%r14;"
 395		"  mov $0, %%rax;"
 396		"  adox %%rdx, %%rax;"
 397
 398		/* Compute src1[1] * src2 */
 399		"  movq 40(%0), %%rdx;"
 400		"  mulxq 32(%1), %%r8, %%r9;"
 401		"  xor %%r10d, %%r10d;"
 402		"  adcxq 72(%2), %%r8;"
 403		"  movq %%r8, 72(%2);"
 404		"  mulxq 40(%1), %%r10, %%r11;"
 405		"  adox %%r9, %%r10;"
 406		"  adcx %%rbx, %%r10;"
 407		"  movq %%r10, 80(%2);"
 408		"  mulxq 48(%1), %%rbx, %%r13;"
 409		"  adox %%r11, %%rbx;"
 410		"  adcx %%r14, %%rbx;"
 411		"  mov $0, %%r8;"
 412		"  mulxq 56(%1), %%r14, %%rdx;"
 413		"  adox %%r13, %%r14;"
 414		"  adcx %%rax, %%r14;"
 415		"  mov $0, %%rax;"
 416		"  adox %%rdx, %%rax;"
 417		"  adcx %%r8, %%rax;"
 418
 419		/* Compute src1[2] * src2 */
 420		"  movq 48(%0), %%rdx;"
 421		"  mulxq 32(%1), %%r8, %%r9;"
 422		"  xor %%r10d, %%r10d;"
 423		"  adcxq 80(%2), %%r8;"
 424		"  movq %%r8, 80(%2);"
 425		"  mulxq 40(%1), %%r10, %%r11;"
 426		"  adox %%r9, %%r10;"
 427		"  adcx %%rbx, %%r10;"
 428		"  movq %%r10, 88(%2);"
 429		"  mulxq 48(%1), %%rbx, %%r13;"
 430		"  adox %%r11, %%rbx;"
 431		"  adcx %%r14, %%rbx;"
 432		"  mov $0, %%r8;"
 433		"  mulxq 56(%1), %%r14, %%rdx;"
 434		"  adox %%r13, %%r14;"
 435		"  adcx %%rax, %%r14;"
 436		"  mov $0, %%rax;"
 437		"  adox %%rdx, %%rax;"
 438		"  adcx %%r8, %%rax;"
 439
 440		/* Compute src1[3] * src2 */
 441		"  movq 56(%0), %%rdx;"
 442		"  mulxq 32(%1), %%r8, %%r9;"
 443		"  xor %%r10d, %%r10d;"
 444		"  adcxq 88(%2), %%r8;"
 445		"  movq %%r8, 88(%2);"
 446		"  mulxq 40(%1), %%r10, %%r11;"
 447		"  adox %%r9, %%r10;"
 448		"  adcx %%rbx, %%r10;"
 449		"  movq %%r10, 96(%2);"
 450		"  mulxq 48(%1), %%rbx, %%r13;"
 451		"  adox %%r11, %%rbx;"
 452		"  adcx %%r14, %%rbx;"
 453		"  movq %%rbx, 104(%2);"
 454		"  mov $0, %%r8;"
 455		"  mulxq 56(%1), %%r14, %%rdx;"
 456		"  adox %%r13, %%r14;"
 457		"  adcx %%rax, %%r14;"
 458		"  movq %%r14, 112(%2);"
 459		"  mov $0, %%rax;"
 460		"  adox %%rdx, %%rax;"
 461		"  adcx %%r8, %%rax;"
 462		"  movq %%rax, 120(%2);"
 463
 464		/* Line up pointers */
 
 465		"  mov %2, %0;"
 466		"  mov %3, %2;"
 467
 468		/* Wrap the results back into the field */
 469
 470		/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
 471		"  mov $38, %%rdx;"
 472		"  mulxq 32(%0), %%r8, %%r13;"
 473		"  xor %k1, %k1;"
 474		"  adoxq 0(%0), %%r8;"
 475		"  mulxq 40(%0), %%r9, %%rbx;"
 476		"  adcx %%r13, %%r9;"
 477		"  adoxq 8(%0), %%r9;"
 478		"  mulxq 48(%0), %%r10, %%r13;"
 479		"  adcx %%rbx, %%r10;"
 480		"  adoxq 16(%0), %%r10;"
 481		"  mulxq 56(%0), %%r11, %%rax;"
 482		"  adcx %%r13, %%r11;"
 483		"  adoxq 24(%0), %%r11;"
 484		"  adcx %1, %%rax;"
 485		"  adox %1, %%rax;"
 486		"  imul %%rdx, %%rax;"
 487
 488		/* Step 2: Fold the carry back into dst */
 489		"  add %%rax, %%r8;"
 490		"  adcx %1, %%r9;"
 491		"  movq %%r9, 8(%2);"
 492		"  adcx %1, %%r10;"
 493		"  movq %%r10, 16(%2);"
 494		"  adcx %1, %%r11;"
 495		"  movq %%r11, 24(%2);"
 496
 497		/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
 498		"  mov $0, %%rax;"
 499		"  cmovc %%rdx, %%rax;"
 500		"  add %%rax, %%r8;"
 501		"  movq %%r8, 0(%2);"
 502
 503		/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
 504		"  mov $38, %%rdx;"
 505		"  mulxq 96(%0), %%r8, %%r13;"
 506		"  xor %k1, %k1;"
 507		"  adoxq 64(%0), %%r8;"
 508		"  mulxq 104(%0), %%r9, %%rbx;"
 509		"  adcx %%r13, %%r9;"
 510		"  adoxq 72(%0), %%r9;"
 511		"  mulxq 112(%0), %%r10, %%r13;"
 512		"  adcx %%rbx, %%r10;"
 513		"  adoxq 80(%0), %%r10;"
 514		"  mulxq 120(%0), %%r11, %%rax;"
 515		"  adcx %%r13, %%r11;"
 516		"  adoxq 88(%0), %%r11;"
 517		"  adcx %1, %%rax;"
 518		"  adox %1, %%rax;"
 519		"  imul %%rdx, %%rax;"
 520
 521		/* Step 2: Fold the carry back into dst */
 522		"  add %%rax, %%r8;"
 523		"  adcx %1, %%r9;"
 524		"  movq %%r9, 40(%2);"
 525		"  adcx %1, %%r10;"
 526		"  movq %%r10, 48(%2);"
 527		"  adcx %1, %%r11;"
 528		"  movq %%r11, 56(%2);"
 529
 530		/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
 531		"  mov $0, %%rax;"
 532		"  cmovc %%rdx, %%rax;"
 533		"  add %%rax, %%r8;"
 534		"  movq %%r8, 32(%2);"
 535		: "+&r"(f1), "+&r"(f2), "+&r"(tmp)
 536		: "r"(out)
 537		: "%rax", "%rbx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r13",
 538		  "%r14", "memory", "cc");
 539}
 540
 541/* Computes the field multiplication of four-element f1 with value in f2
 542 * Requires f2 to be smaller than 2^17 */
 543static inline void fmul_scalar(u64 *out, const u64 *f1, u64 f2)
 544{
 545	register u64 f2_r asm("rdx") = f2;
 546
 547	asm volatile(
 548		/* Compute the raw multiplication of f1*f2 */
 549		"  mulxq 0(%2), %%r8, %%rcx;" /* f1[0]*f2 */
 550		"  mulxq 8(%2), %%r9, %%rbx;" /* f1[1]*f2 */
 551		"  add %%rcx, %%r9;"
 552		"  mov $0, %%rcx;"
 553		"  mulxq 16(%2), %%r10, %%r13;" /* f1[2]*f2 */
 554		"  adcx %%rbx, %%r10;"
 555		"  mulxq 24(%2), %%r11, %%rax;" /* f1[3]*f2 */
 556		"  adcx %%r13, %%r11;"
 557		"  adcx %%rcx, %%rax;"
 558
 559		/* Wrap the result back into the field */
 560
 561		/* Step 1: Compute carry*38 */
 562		"  mov $38, %%rdx;"
 563		"  imul %%rdx, %%rax;"
 564
 565		/* Step 2: Fold the carry back into dst */
 566		"  add %%rax, %%r8;"
 567		"  adcx %%rcx, %%r9;"
 568		"  movq %%r9, 8(%1);"
 569		"  adcx %%rcx, %%r10;"
 570		"  movq %%r10, 16(%1);"
 571		"  adcx %%rcx, %%r11;"
 572		"  movq %%r11, 24(%1);"
 573
 574		/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
 575		"  mov $0, %%rax;"
 576		"  cmovc %%rdx, %%rax;"
 577		"  add %%rax, %%r8;"
 578		"  movq %%r8, 0(%1);"
 579		: "+&r"(f2_r)
 580		: "r"(out), "r"(f1)
 581		: "%rax", "%rbx", "%rcx", "%r8", "%r9", "%r10", "%r11", "%r13",
 582		  "memory", "cc");
 583}
 584
 585/* Computes p1 <- bit ? p2 : p1 in constant time */
 586static inline void cswap2(u64 bit, const u64 *p1, const u64 *p2)
 587{
 588	asm volatile(
 589		/* Transfer bit into CF flag */
 590		"  add $18446744073709551615, %0;"
 591
 592		/* cswap p1[0], p2[0] */
 593		"  movq 0(%1), %%r8;"
 594		"  movq 0(%2), %%r9;"
 595		"  mov %%r8, %%r10;"
 596		"  cmovc %%r9, %%r8;"
 597		"  cmovc %%r10, %%r9;"
 598		"  movq %%r8, 0(%1);"
 599		"  movq %%r9, 0(%2);"
 600
 601		/* cswap p1[1], p2[1] */
 602		"  movq 8(%1), %%r8;"
 603		"  movq 8(%2), %%r9;"
 604		"  mov %%r8, %%r10;"
 605		"  cmovc %%r9, %%r8;"
 606		"  cmovc %%r10, %%r9;"
 607		"  movq %%r8, 8(%1);"
 608		"  movq %%r9, 8(%2);"
 609
 610		/* cswap p1[2], p2[2] */
 611		"  movq 16(%1), %%r8;"
 612		"  movq 16(%2), %%r9;"
 613		"  mov %%r8, %%r10;"
 614		"  cmovc %%r9, %%r8;"
 615		"  cmovc %%r10, %%r9;"
 616		"  movq %%r8, 16(%1);"
 617		"  movq %%r9, 16(%2);"
 618
 619		/* cswap p1[3], p2[3] */
 620		"  movq 24(%1), %%r8;"
 621		"  movq 24(%2), %%r9;"
 622		"  mov %%r8, %%r10;"
 623		"  cmovc %%r9, %%r8;"
 624		"  cmovc %%r10, %%r9;"
 625		"  movq %%r8, 24(%1);"
 626		"  movq %%r9, 24(%2);"
 627
 628		/* cswap p1[4], p2[4] */
 629		"  movq 32(%1), %%r8;"
 630		"  movq 32(%2), %%r9;"
 631		"  mov %%r8, %%r10;"
 632		"  cmovc %%r9, %%r8;"
 633		"  cmovc %%r10, %%r9;"
 634		"  movq %%r8, 32(%1);"
 635		"  movq %%r9, 32(%2);"
 636
 637		/* cswap p1[5], p2[5] */
 638		"  movq 40(%1), %%r8;"
 639		"  movq 40(%2), %%r9;"
 640		"  mov %%r8, %%r10;"
 641		"  cmovc %%r9, %%r8;"
 642		"  cmovc %%r10, %%r9;"
 643		"  movq %%r8, 40(%1);"
 644		"  movq %%r9, 40(%2);"
 645
 646		/* cswap p1[6], p2[6] */
 647		"  movq 48(%1), %%r8;"
 648		"  movq 48(%2), %%r9;"
 649		"  mov %%r8, %%r10;"
 650		"  cmovc %%r9, %%r8;"
 651		"  cmovc %%r10, %%r9;"
 652		"  movq %%r8, 48(%1);"
 653		"  movq %%r9, 48(%2);"
 654
 655		/* cswap p1[7], p2[7] */
 656		"  movq 56(%1), %%r8;"
 657		"  movq 56(%2), %%r9;"
 658		"  mov %%r8, %%r10;"
 659		"  cmovc %%r9, %%r8;"
 660		"  cmovc %%r10, %%r9;"
 661		"  movq %%r8, 56(%1);"
 662		"  movq %%r9, 56(%2);"
 663		: "+&r"(bit)
 664		: "r"(p1), "r"(p2)
 665		: "%r8", "%r9", "%r10", "memory", "cc");
 
 666}
 667
 668/* Computes the square of a field element: out <- f * f
 669 * Uses the 8-element buffer tmp for intermediate results */
 670static inline void fsqr(u64 *out, const u64 *f, u64 *tmp)
 671{
 672	asm volatile(
 673		/* Compute the raw multiplication: tmp <- f * f */
 674
 675		/* Step 1: Compute all partial products */
 676		"  movq 0(%0), %%rdx;" /* f[0] */
 677		"  mulxq 8(%0), %%r8, %%r14;"
 678		"  xor %%r15d, %%r15d;" /* f[1]*f[0] */
 679		"  mulxq 16(%0), %%r9, %%r10;"
 680		"  adcx %%r14, %%r9;" /* f[2]*f[0] */
 681		"  mulxq 24(%0), %%rax, %%rcx;"
 682		"  adcx %%rax, %%r10;" /* f[3]*f[0] */
 683		"  movq 24(%0), %%rdx;" /* f[3] */
 684		"  mulxq 8(%0), %%r11, %%rbx;"
 685		"  adcx %%rcx, %%r11;" /* f[1]*f[3] */
 686		"  mulxq 16(%0), %%rax, %%r13;"
 687		"  adcx %%rax, %%rbx;" /* f[2]*f[3] */
 688		"  movq 8(%0), %%rdx;"
 689		"  adcx %%r15, %%r13;" /* f1 */
 690		"  mulxq 16(%0), %%rax, %%rcx;"
 691		"  mov $0, %%r14;" /* f[2]*f[1] */
 692
 693		/* Step 2: Compute two parallel carry chains */
 694		"  xor %%r15d, %%r15d;"
 695		"  adox %%rax, %%r10;"
 696		"  adcx %%r8, %%r8;"
 697		"  adox %%rcx, %%r11;"
 698		"  adcx %%r9, %%r9;"
 699		"  adox %%r15, %%rbx;"
 700		"  adcx %%r10, %%r10;"
 701		"  adox %%r15, %%r13;"
 702		"  adcx %%r11, %%r11;"
 703		"  adox %%r15, %%r14;"
 704		"  adcx %%rbx, %%rbx;"
 705		"  adcx %%r13, %%r13;"
 706		"  adcx %%r14, %%r14;"
 707
 708		/* Step 3: Compute intermediate squares */
 709		"  movq 0(%0), %%rdx;"
 710		"  mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
 711		"  movq %%rax, 0(%1);"
 712		"  add %%rcx, %%r8;"
 713		"  movq %%r8, 8(%1);"
 714		"  movq 8(%0), %%rdx;"
 715		"  mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
 716		"  adcx %%rax, %%r9;"
 717		"  movq %%r9, 16(%1);"
 718		"  adcx %%rcx, %%r10;"
 719		"  movq %%r10, 24(%1);"
 720		"  movq 16(%0), %%rdx;"
 721		"  mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
 722		"  adcx %%rax, %%r11;"
 723		"  movq %%r11, 32(%1);"
 724		"  adcx %%rcx, %%rbx;"
 725		"  movq %%rbx, 40(%1);"
 726		"  movq 24(%0), %%rdx;"
 727		"  mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
 728		"  adcx %%rax, %%r13;"
 729		"  movq %%r13, 48(%1);"
 730		"  adcx %%rcx, %%r14;"
 731		"  movq %%r14, 56(%1);"
 732
 733		/* Line up pointers */
 734		"  mov %1, %0;"
 735		"  mov %2, %1;"
 736
 737		/* Wrap the result back into the field */
 738
 739		/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
 740		"  mov $38, %%rdx;"
 741		"  mulxq 32(%0), %%r8, %%r13;"
 742		"  xor %%ecx, %%ecx;"
 743		"  adoxq 0(%0), %%r8;"
 744		"  mulxq 40(%0), %%r9, %%rbx;"
 745		"  adcx %%r13, %%r9;"
 746		"  adoxq 8(%0), %%r9;"
 747		"  mulxq 48(%0), %%r10, %%r13;"
 748		"  adcx %%rbx, %%r10;"
 749		"  adoxq 16(%0), %%r10;"
 750		"  mulxq 56(%0), %%r11, %%rax;"
 751		"  adcx %%r13, %%r11;"
 752		"  adoxq 24(%0), %%r11;"
 753		"  adcx %%rcx, %%rax;"
 754		"  adox %%rcx, %%rax;"
 755		"  imul %%rdx, %%rax;"
 756
 757		/* Step 2: Fold the carry back into dst */
 758		"  add %%rax, %%r8;"
 759		"  adcx %%rcx, %%r9;"
 760		"  movq %%r9, 8(%1);"
 761		"  adcx %%rcx, %%r10;"
 762		"  movq %%r10, 16(%1);"
 763		"  adcx %%rcx, %%r11;"
 764		"  movq %%r11, 24(%1);"
 765
 766		/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
 767		"  mov $0, %%rax;"
 768		"  cmovc %%rdx, %%rax;"
 769		"  add %%rax, %%r8;"
 770		"  movq %%r8, 0(%1);"
 771		: "+&r"(f), "+&r"(tmp)
 772		: "r"(out)
 773		: "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11",
 774		  "%r13", "%r14", "%r15", "memory", "cc");
 775}
 776
 777/* Computes two field squarings:
 778 *   out[0] <- f[0] * f[0]
 779 *   out[1] <- f[1] * f[1]
 780 * Uses the 16-element buffer tmp for intermediate results */
 781static inline void fsqr2(u64 *out, const u64 *f, u64 *tmp)
 782{
 783	asm volatile(
 784		/* Step 1: Compute all partial products */
 785		"  movq 0(%0), %%rdx;" /* f[0] */
 786		"  mulxq 8(%0), %%r8, %%r14;"
 787		"  xor %%r15d, %%r15d;" /* f[1]*f[0] */
 788		"  mulxq 16(%0), %%r9, %%r10;"
 789		"  adcx %%r14, %%r9;" /* f[2]*f[0] */
 790		"  mulxq 24(%0), %%rax, %%rcx;"
 791		"  adcx %%rax, %%r10;" /* f[3]*f[0] */
 792		"  movq 24(%0), %%rdx;" /* f[3] */
 793		"  mulxq 8(%0), %%r11, %%rbx;"
 794		"  adcx %%rcx, %%r11;" /* f[1]*f[3] */
 795		"  mulxq 16(%0), %%rax, %%r13;"
 796		"  adcx %%rax, %%rbx;" /* f[2]*f[3] */
 797		"  movq 8(%0), %%rdx;"
 798		"  adcx %%r15, %%r13;" /* f1 */
 799		"  mulxq 16(%0), %%rax, %%rcx;"
 800		"  mov $0, %%r14;" /* f[2]*f[1] */
 801
 802		/* Step 2: Compute two parallel carry chains */
 803		"  xor %%r15d, %%r15d;"
 804		"  adox %%rax, %%r10;"
 805		"  adcx %%r8, %%r8;"
 806		"  adox %%rcx, %%r11;"
 807		"  adcx %%r9, %%r9;"
 808		"  adox %%r15, %%rbx;"
 809		"  adcx %%r10, %%r10;"
 810		"  adox %%r15, %%r13;"
 811		"  adcx %%r11, %%r11;"
 812		"  adox %%r15, %%r14;"
 813		"  adcx %%rbx, %%rbx;"
 814		"  adcx %%r13, %%r13;"
 815		"  adcx %%r14, %%r14;"
 816
 817		/* Step 3: Compute intermediate squares */
 818		"  movq 0(%0), %%rdx;"
 819		"  mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
 820		"  movq %%rax, 0(%1);"
 821		"  add %%rcx, %%r8;"
 822		"  movq %%r8, 8(%1);"
 823		"  movq 8(%0), %%rdx;"
 824		"  mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
 825		"  adcx %%rax, %%r9;"
 826		"  movq %%r9, 16(%1);"
 827		"  adcx %%rcx, %%r10;"
 828		"  movq %%r10, 24(%1);"
 829		"  movq 16(%0), %%rdx;"
 830		"  mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
 831		"  adcx %%rax, %%r11;"
 832		"  movq %%r11, 32(%1);"
 833		"  adcx %%rcx, %%rbx;"
 834		"  movq %%rbx, 40(%1);"
 835		"  movq 24(%0), %%rdx;"
 836		"  mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
 837		"  adcx %%rax, %%r13;"
 838		"  movq %%r13, 48(%1);"
 839		"  adcx %%rcx, %%r14;"
 840		"  movq %%r14, 56(%1);"
 841
 842		/* Step 1: Compute all partial products */
 843		"  movq 32(%0), %%rdx;" /* f[0] */
 844		"  mulxq 40(%0), %%r8, %%r14;"
 845		"  xor %%r15d, %%r15d;" /* f[1]*f[0] */
 846		"  mulxq 48(%0), %%r9, %%r10;"
 847		"  adcx %%r14, %%r9;" /* f[2]*f[0] */
 848		"  mulxq 56(%0), %%rax, %%rcx;"
 849		"  adcx %%rax, %%r10;" /* f[3]*f[0] */
 850		"  movq 56(%0), %%rdx;" /* f[3] */
 851		"  mulxq 40(%0), %%r11, %%rbx;"
 852		"  adcx %%rcx, %%r11;" /* f[1]*f[3] */
 853		"  mulxq 48(%0), %%rax, %%r13;"
 854		"  adcx %%rax, %%rbx;" /* f[2]*f[3] */
 855		"  movq 40(%0), %%rdx;"
 856		"  adcx %%r15, %%r13;" /* f1 */
 857		"  mulxq 48(%0), %%rax, %%rcx;"
 858		"  mov $0, %%r14;" /* f[2]*f[1] */
 859
 860		/* Step 2: Compute two parallel carry chains */
 861		"  xor %%r15d, %%r15d;"
 862		"  adox %%rax, %%r10;"
 863		"  adcx %%r8, %%r8;"
 864		"  adox %%rcx, %%r11;"
 865		"  adcx %%r9, %%r9;"
 866		"  adox %%r15, %%rbx;"
 867		"  adcx %%r10, %%r10;"
 868		"  adox %%r15, %%r13;"
 869		"  adcx %%r11, %%r11;"
 870		"  adox %%r15, %%r14;"
 871		"  adcx %%rbx, %%rbx;"
 872		"  adcx %%r13, %%r13;"
 873		"  adcx %%r14, %%r14;"
 874
 875		/* Step 3: Compute intermediate squares */
 876		"  movq 32(%0), %%rdx;"
 877		"  mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
 878		"  movq %%rax, 64(%1);"
 879		"  add %%rcx, %%r8;"
 880		"  movq %%r8, 72(%1);"
 881		"  movq 40(%0), %%rdx;"
 882		"  mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
 883		"  adcx %%rax, %%r9;"
 884		"  movq %%r9, 80(%1);"
 885		"  adcx %%rcx, %%r10;"
 886		"  movq %%r10, 88(%1);"
 887		"  movq 48(%0), %%rdx;"
 888		"  mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
 889		"  adcx %%rax, %%r11;"
 890		"  movq %%r11, 96(%1);"
 891		"  adcx %%rcx, %%rbx;"
 892		"  movq %%rbx, 104(%1);"
 893		"  movq 56(%0), %%rdx;"
 894		"  mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
 895		"  adcx %%rax, %%r13;"
 896		"  movq %%r13, 112(%1);"
 897		"  adcx %%rcx, %%r14;"
 898		"  movq %%r14, 120(%1);"
 899
 900		/* Line up pointers */
 901		"  mov %1, %0;"
 902		"  mov %2, %1;"
 903
 904		/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
 905		"  mov $38, %%rdx;"
 906		"  mulxq 32(%0), %%r8, %%r13;"
 907		"  xor %%ecx, %%ecx;"
 908		"  adoxq 0(%0), %%r8;"
 909		"  mulxq 40(%0), %%r9, %%rbx;"
 910		"  adcx %%r13, %%r9;"
 911		"  adoxq 8(%0), %%r9;"
 912		"  mulxq 48(%0), %%r10, %%r13;"
 913		"  adcx %%rbx, %%r10;"
 914		"  adoxq 16(%0), %%r10;"
 915		"  mulxq 56(%0), %%r11, %%rax;"
 916		"  adcx %%r13, %%r11;"
 917		"  adoxq 24(%0), %%r11;"
 918		"  adcx %%rcx, %%rax;"
 919		"  adox %%rcx, %%rax;"
 920		"  imul %%rdx, %%rax;"
 921
 922		/* Step 2: Fold the carry back into dst */
 923		"  add %%rax, %%r8;"
 924		"  adcx %%rcx, %%r9;"
 925		"  movq %%r9, 8(%1);"
 926		"  adcx %%rcx, %%r10;"
 927		"  movq %%r10, 16(%1);"
 928		"  adcx %%rcx, %%r11;"
 929		"  movq %%r11, 24(%1);"
 930
 931		/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
 932		"  mov $0, %%rax;"
 933		"  cmovc %%rdx, %%rax;"
 934		"  add %%rax, %%r8;"
 935		"  movq %%r8, 0(%1);"
 936
 937		/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
 938		"  mov $38, %%rdx;"
 939		"  mulxq 96(%0), %%r8, %%r13;"
 940		"  xor %%ecx, %%ecx;"
 941		"  adoxq 64(%0), %%r8;"
 942		"  mulxq 104(%0), %%r9, %%rbx;"
 943		"  adcx %%r13, %%r9;"
 944		"  adoxq 72(%0), %%r9;"
 945		"  mulxq 112(%0), %%r10, %%r13;"
 946		"  adcx %%rbx, %%r10;"
 947		"  adoxq 80(%0), %%r10;"
 948		"  mulxq 120(%0), %%r11, %%rax;"
 949		"  adcx %%r13, %%r11;"
 950		"  adoxq 88(%0), %%r11;"
 951		"  adcx %%rcx, %%rax;"
 952		"  adox %%rcx, %%rax;"
 953		"  imul %%rdx, %%rax;"
 954
 955		/* Step 2: Fold the carry back into dst */
 956		"  add %%rax, %%r8;"
 957		"  adcx %%rcx, %%r9;"
 958		"  movq %%r9, 40(%1);"
 959		"  adcx %%rcx, %%r10;"
 960		"  movq %%r10, 48(%1);"
 961		"  adcx %%rcx, %%r11;"
 962		"  movq %%r11, 56(%1);"
 963
 964		/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
 965		"  mov $0, %%rax;"
 966		"  cmovc %%rdx, %%rax;"
 967		"  add %%rax, %%r8;"
 968		"  movq %%r8, 32(%1);"
 969		: "+&r"(f), "+&r"(tmp)
 970		: "r"(out)
 971		: "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11",
 972		  "%r13", "%r14", "%r15", "memory", "cc");
 973}
 974
 975static void point_add_and_double(u64 *q, u64 *p01_tmp1, u64 *tmp2)
 976{
 977	u64 *nq = p01_tmp1;
 978	u64 *nq_p1 = p01_tmp1 + (u32)8U;
 979	u64 *tmp1 = p01_tmp1 + (u32)16U;
 980	u64 *x1 = q;
 981	u64 *x2 = nq;
 982	u64 *z2 = nq + (u32)4U;
 983	u64 *z3 = nq_p1 + (u32)4U;
 984	u64 *a = tmp1;
 985	u64 *b = tmp1 + (u32)4U;
 986	u64 *ab = tmp1;
 987	u64 *dc = tmp1 + (u32)8U;
 988	u64 *x3;
 989	u64 *z31;
 990	u64 *d0;
 991	u64 *c0;
 992	u64 *a1;
 993	u64 *b1;
 994	u64 *d;
 995	u64 *c;
 996	u64 *ab1;
 997	u64 *dc1;
 998	fadd(a, x2, z2);
 999	fsub(b, x2, z2);
1000	x3 = nq_p1;
1001	z31 = nq_p1 + (u32)4U;
1002	d0 = dc;
1003	c0 = dc + (u32)4U;
1004	fadd(c0, x3, z31);
1005	fsub(d0, x3, z31);
1006	fmul2(dc, dc, ab, tmp2);
1007	fadd(x3, d0, c0);
1008	fsub(z31, d0, c0);
1009	a1 = tmp1;
1010	b1 = tmp1 + (u32)4U;
1011	d = tmp1 + (u32)8U;
1012	c = tmp1 + (u32)12U;
1013	ab1 = tmp1;
1014	dc1 = tmp1 + (u32)8U;
1015	fsqr2(dc1, ab1, tmp2);
1016	fsqr2(nq_p1, nq_p1, tmp2);
1017	a1[0U] = c[0U];
1018	a1[1U] = c[1U];
1019	a1[2U] = c[2U];
1020	a1[3U] = c[3U];
1021	fsub(c, d, c);
1022	fmul_scalar(b1, c, (u64)121665U);
1023	fadd(b1, b1, d);
1024	fmul2(nq, dc1, ab1, tmp2);
1025	fmul(z3, z3, x1, tmp2);
1026}
1027
1028static void point_double(u64 *nq, u64 *tmp1, u64 *tmp2)
1029{
1030	u64 *x2 = nq;
1031	u64 *z2 = nq + (u32)4U;
1032	u64 *a = tmp1;
1033	u64 *b = tmp1 + (u32)4U;
1034	u64 *d = tmp1 + (u32)8U;
1035	u64 *c = tmp1 + (u32)12U;
1036	u64 *ab = tmp1;
1037	u64 *dc = tmp1 + (u32)8U;
1038	fadd(a, x2, z2);
1039	fsub(b, x2, z2);
1040	fsqr2(dc, ab, tmp2);
1041	a[0U] = c[0U];
1042	a[1U] = c[1U];
1043	a[2U] = c[2U];
1044	a[3U] = c[3U];
1045	fsub(c, d, c);
1046	fmul_scalar(b, c, (u64)121665U);
1047	fadd(b, b, d);
1048	fmul2(nq, dc, ab, tmp2);
1049}
1050
1051static void montgomery_ladder(u64 *out, const u8 *key, u64 *init1)
1052{
1053	u64 tmp2[16U] = { 0U };
1054	u64 p01_tmp1_swap[33U] = { 0U };
1055	u64 *p0 = p01_tmp1_swap;
1056	u64 *p01 = p01_tmp1_swap;
1057	u64 *p03 = p01;
1058	u64 *p11 = p01 + (u32)8U;
1059	u64 *x0;
1060	u64 *z0;
1061	u64 *p01_tmp1;
1062	u64 *p01_tmp11;
1063	u64 *nq10;
1064	u64 *nq_p11;
1065	u64 *swap1;
1066	u64 sw0;
1067	u64 *nq1;
1068	u64 *tmp1;
1069	memcpy(p11, init1, (u32)8U * sizeof(init1[0U]));
1070	x0 = p03;
1071	z0 = p03 + (u32)4U;
1072	x0[0U] = (u64)1U;
1073	x0[1U] = (u64)0U;
1074	x0[2U] = (u64)0U;
1075	x0[3U] = (u64)0U;
1076	z0[0U] = (u64)0U;
1077	z0[1U] = (u64)0U;
1078	z0[2U] = (u64)0U;
1079	z0[3U] = (u64)0U;
1080	p01_tmp1 = p01_tmp1_swap;
1081	p01_tmp11 = p01_tmp1_swap;
1082	nq10 = p01_tmp1_swap;
1083	nq_p11 = p01_tmp1_swap + (u32)8U;
1084	swap1 = p01_tmp1_swap + (u32)32U;
1085	cswap2((u64)1U, nq10, nq_p11);
1086	point_add_and_double(init1, p01_tmp11, tmp2);
1087	swap1[0U] = (u64)1U;
1088	{
1089		u32 i;
1090		for (i = (u32)0U; i < (u32)251U; i = i + (u32)1U) {
1091			u64 *p01_tmp12 = p01_tmp1_swap;
1092			u64 *swap2 = p01_tmp1_swap + (u32)32U;
1093			u64 *nq2 = p01_tmp12;
1094			u64 *nq_p12 = p01_tmp12 + (u32)8U;
1095			u64 bit = (u64)(key[((u32)253U - i) / (u32)8U] >> ((u32)253U - i) % (u32)8U & (u8)1U);
1096			u64 sw = swap2[0U] ^ bit;
1097			cswap2(sw, nq2, nq_p12);
1098			point_add_and_double(init1, p01_tmp12, tmp2);
1099			swap2[0U] = bit;
1100		}
1101	}
1102	sw0 = swap1[0U];
1103	cswap2(sw0, nq10, nq_p11);
1104	nq1 = p01_tmp1;
1105	tmp1 = p01_tmp1 + (u32)16U;
1106	point_double(nq1, tmp1, tmp2);
1107	point_double(nq1, tmp1, tmp2);
1108	point_double(nq1, tmp1, tmp2);
1109	memcpy(out, p0, (u32)8U * sizeof(p0[0U]));
1110
1111	memzero_explicit(tmp2, sizeof(tmp2));
1112	memzero_explicit(p01_tmp1_swap, sizeof(p01_tmp1_swap));
1113}
1114
1115static void fsquare_times(u64 *o, const u64 *inp, u64 *tmp, u32 n1)
1116{
1117	u32 i;
1118	fsqr(o, inp, tmp);
1119	for (i = (u32)0U; i < n1 - (u32)1U; i = i + (u32)1U)
1120		fsqr(o, o, tmp);
1121}
1122
1123static void finv(u64 *o, const u64 *i, u64 *tmp)
1124{
1125	u64 t1[16U] = { 0U };
1126	u64 *a0 = t1;
1127	u64 *b = t1 + (u32)4U;
1128	u64 *c = t1 + (u32)8U;
1129	u64 *t00 = t1 + (u32)12U;
1130	u64 *tmp1 = tmp;
1131	u64 *a;
1132	u64 *t0;
1133	fsquare_times(a0, i, tmp1, (u32)1U);
1134	fsquare_times(t00, a0, tmp1, (u32)2U);
1135	fmul(b, t00, i, tmp);
1136	fmul(a0, b, a0, tmp);
1137	fsquare_times(t00, a0, tmp1, (u32)1U);
1138	fmul(b, t00, b, tmp);
1139	fsquare_times(t00, b, tmp1, (u32)5U);
1140	fmul(b, t00, b, tmp);
1141	fsquare_times(t00, b, tmp1, (u32)10U);
1142	fmul(c, t00, b, tmp);
1143	fsquare_times(t00, c, tmp1, (u32)20U);
1144	fmul(t00, t00, c, tmp);
1145	fsquare_times(t00, t00, tmp1, (u32)10U);
1146	fmul(b, t00, b, tmp);
1147	fsquare_times(t00, b, tmp1, (u32)50U);
1148	fmul(c, t00, b, tmp);
1149	fsquare_times(t00, c, tmp1, (u32)100U);
1150	fmul(t00, t00, c, tmp);
1151	fsquare_times(t00, t00, tmp1, (u32)50U);
1152	fmul(t00, t00, b, tmp);
1153	fsquare_times(t00, t00, tmp1, (u32)5U);
1154	a = t1;
1155	t0 = t1 + (u32)12U;
1156	fmul(o, t0, a, tmp);
1157}
1158
1159static void store_felem(u64 *b, u64 *f)
1160{
1161	u64 f30 = f[3U];
1162	u64 top_bit0 = f30 >> (u32)63U;
1163	u64 f31;
1164	u64 top_bit;
1165	u64 f0;
1166	u64 f1;
1167	u64 f2;
1168	u64 f3;
1169	u64 m0;
1170	u64 m1;
1171	u64 m2;
1172	u64 m3;
1173	u64 mask;
1174	u64 f0_;
1175	u64 f1_;
1176	u64 f2_;
1177	u64 f3_;
1178	u64 o0;
1179	u64 o1;
1180	u64 o2;
1181	u64 o3;
1182	f[3U] = f30 & (u64)0x7fffffffffffffffU;
1183	add_scalar(f, f, (u64)19U * top_bit0);
1184	f31 = f[3U];
1185	top_bit = f31 >> (u32)63U;
1186	f[3U] = f31 & (u64)0x7fffffffffffffffU;
1187	add_scalar(f, f, (u64)19U * top_bit);
1188	f0 = f[0U];
1189	f1 = f[1U];
1190	f2 = f[2U];
1191	f3 = f[3U];
1192	m0 = gte_mask(f0, (u64)0xffffffffffffffedU);
1193	m1 = eq_mask(f1, (u64)0xffffffffffffffffU);
1194	m2 = eq_mask(f2, (u64)0xffffffffffffffffU);
1195	m3 = eq_mask(f3, (u64)0x7fffffffffffffffU);
1196	mask = ((m0 & m1) & m2) & m3;
1197	f0_ = f0 - (mask & (u64)0xffffffffffffffedU);
1198	f1_ = f1 - (mask & (u64)0xffffffffffffffffU);
1199	f2_ = f2 - (mask & (u64)0xffffffffffffffffU);
1200	f3_ = f3 - (mask & (u64)0x7fffffffffffffffU);
1201	o0 = f0_;
1202	o1 = f1_;
1203	o2 = f2_;
1204	o3 = f3_;
1205	b[0U] = o0;
1206	b[1U] = o1;
1207	b[2U] = o2;
1208	b[3U] = o3;
1209}
1210
1211static void encode_point(u8 *o, const u64 *i)
1212{
1213	const u64 *x = i;
1214	const u64 *z = i + (u32)4U;
1215	u64 tmp[4U] = { 0U };
1216	u64 tmp_w[16U] = { 0U };
1217	finv(tmp, z, tmp_w);
1218	fmul(tmp, tmp, x, tmp_w);
1219	store_felem((u64 *)o, tmp);
1220}
1221
1222static void curve25519_ever64(u8 *out, const u8 *priv, const u8 *pub)
1223{
1224	u64 init1[8U] = { 0U };
1225	u64 tmp[4U] = { 0U };
1226	u64 tmp3;
1227	u64 *x;
1228	u64 *z;
1229	{
1230		u32 i;
1231		for (i = (u32)0U; i < (u32)4U; i = i + (u32)1U) {
1232			u64 *os = tmp;
1233			const u8 *bj = pub + i * (u32)8U;
1234			u64 u = *(u64 *)bj;
1235			u64 r = u;
1236			u64 x0 = r;
1237			os[i] = x0;
1238		}
1239	}
1240	tmp3 = tmp[3U];
1241	tmp[3U] = tmp3 & (u64)0x7fffffffffffffffU;
1242	x = init1;
1243	z = init1 + (u32)4U;
1244	z[0U] = (u64)1U;
1245	z[1U] = (u64)0U;
1246	z[2U] = (u64)0U;
1247	z[3U] = (u64)0U;
1248	x[0U] = tmp[0U];
1249	x[1U] = tmp[1U];
1250	x[2U] = tmp[2U];
1251	x[3U] = tmp[3U];
1252	montgomery_ladder(init1, priv, init1);
1253	encode_point(out, init1);
1254}
1255
1256/* The below constants were generated using this sage script:
1257 *
1258 * #!/usr/bin/env sage
1259 * import sys
1260 * from sage.all import *
1261 * def limbs(n):
1262 * 	n = int(n)
1263 * 	l = ((n >> 0) % 2^64, (n >> 64) % 2^64, (n >> 128) % 2^64, (n >> 192) % 2^64)
1264 * 	return "0x%016xULL, 0x%016xULL, 0x%016xULL, 0x%016xULL" % l
1265 * ec = EllipticCurve(GF(2^255 - 19), [0, 486662, 0, 1, 0])
1266 * p_minus_s = (ec.lift_x(9) - ec.lift_x(1))[0]
1267 * print("static const u64 p_minus_s[] = { %s };\n" % limbs(p_minus_s))
1268 * print("static const u64 table_ladder[] = {")
1269 * p = ec.lift_x(9)
1270 * for i in range(252):
1271 * 	l = (p[0] + p[2]) / (p[0] - p[2])
1272 * 	print(("\t%s" + ("," if i != 251 else "")) % limbs(l))
1273 * 	p = p * 2
1274 * print("};")
1275 *
1276 */
1277
1278static const u64 p_minus_s[] = { 0x816b1e0137d48290ULL, 0x440f6a51eb4d1207ULL, 0x52385f46dca2b71dULL, 0x215132111d8354cbULL };
1279
1280static const u64 table_ladder[] = {
1281	0xfffffffffffffff3ULL, 0xffffffffffffffffULL, 0xffffffffffffffffULL, 0x5fffffffffffffffULL,
1282	0x6b8220f416aafe96ULL, 0x82ebeb2b4f566a34ULL, 0xd5a9a5b075a5950fULL, 0x5142b2cf4b2488f4ULL,
1283	0x6aaebc750069680cULL, 0x89cf7820a0f99c41ULL, 0x2a58d9183b56d0f4ULL, 0x4b5aca80e36011a4ULL,
1284	0x329132348c29745dULL, 0xf4a2e616e1642fd7ULL, 0x1e45bb03ff67bc34ULL, 0x306912d0f42a9b4aULL,
1285	0xff886507e6af7154ULL, 0x04f50e13dfeec82fULL, 0xaa512fe82abab5ceULL, 0x174e251a68d5f222ULL,
1286	0xcf96700d82028898ULL, 0x1743e3370a2c02c5ULL, 0x379eec98b4e86eaaULL, 0x0c59888a51e0482eULL,
1287	0xfbcbf1d699b5d189ULL, 0xacaef0d58e9fdc84ULL, 0xc1c20d06231f7614ULL, 0x2938218da274f972ULL,
1288	0xf6af49beff1d7f18ULL, 0xcc541c22387ac9c2ULL, 0x96fcc9ef4015c56bULL, 0x69c1627c690913a9ULL,
1289	0x7a86fd2f4733db0eULL, 0xfdb8c4f29e087de9ULL, 0x095e4b1a8ea2a229ULL, 0x1ad7a7c829b37a79ULL,
1290	0x342d89cad17ea0c0ULL, 0x67bedda6cced2051ULL, 0x19ca31bf2bb42f74ULL, 0x3df7b4c84980acbbULL,
1291	0xa8c6444dc80ad883ULL, 0xb91e440366e3ab85ULL, 0xc215cda00164f6d8ULL, 0x3d867c6ef247e668ULL,
1292	0xc7dd582bcc3e658cULL, 0xfd2c4748ee0e5528ULL, 0xa0fd9b95cc9f4f71ULL, 0x7529d871b0675ddfULL,
1293	0xb8f568b42d3cbd78ULL, 0x1233011b91f3da82ULL, 0x2dce6ccd4a7c3b62ULL, 0x75e7fc8e9e498603ULL,
1294	0x2f4f13f1fcd0b6ecULL, 0xf1a8ca1f29ff7a45ULL, 0xc249c1a72981e29bULL, 0x6ebe0dbb8c83b56aULL,
1295	0x7114fa8d170bb222ULL, 0x65a2dcd5bf93935fULL, 0xbdc41f68b59c979aULL, 0x2f0eef79a2ce9289ULL,
1296	0x42ecbf0c083c37ceULL, 0x2930bc09ec496322ULL, 0xf294b0c19cfeac0dULL, 0x3780aa4bedfabb80ULL,
1297	0x56c17d3e7cead929ULL, 0xe7cb4beb2e5722c5ULL, 0x0ce931732dbfe15aULL, 0x41b883c7621052f8ULL,
1298	0xdbf75ca0c3d25350ULL, 0x2936be086eb1e351ULL, 0xc936e03cb4a9b212ULL, 0x1d45bf82322225aaULL,
1299	0xe81ab1036a024cc5ULL, 0xe212201c304c9a72ULL, 0xc5d73fba6832b1fcULL, 0x20ffdb5a4d839581ULL,
1300	0xa283d367be5d0fadULL, 0x6c2b25ca8b164475ULL, 0x9d4935467caaf22eULL, 0x5166408eee85ff49ULL,
1301	0x3c67baa2fab4e361ULL, 0xb3e433c67ef35cefULL, 0x5259729241159b1cULL, 0x6a621892d5b0ab33ULL,
1302	0x20b74a387555cdcbULL, 0x532aa10e1208923fULL, 0xeaa17b7762281dd1ULL, 0x61ab3443f05c44bfULL,
1303	0x257a6c422324def8ULL, 0x131c6c1017e3cf7fULL, 0x23758739f630a257ULL, 0x295a407a01a78580ULL,
1304	0xf8c443246d5da8d9ULL, 0x19d775450c52fa5dULL, 0x2afcfc92731bf83dULL, 0x7d10c8e81b2b4700ULL,
1305	0xc8e0271f70baa20bULL, 0x993748867ca63957ULL, 0x5412efb3cb7ed4bbULL, 0x3196d36173e62975ULL,
1306	0xde5bcad141c7dffcULL, 0x47cc8cd2b395c848ULL, 0xa34cd942e11af3cbULL, 0x0256dbf2d04ecec2ULL,
1307	0x875ab7e94b0e667fULL, 0xcad4dd83c0850d10ULL, 0x47f12e8f4e72c79fULL, 0x5f1a87bb8c85b19bULL,
1308	0x7ae9d0b6437f51b8ULL, 0x12c7ce5518879065ULL, 0x2ade09fe5cf77aeeULL, 0x23a05a2f7d2c5627ULL,
1309	0x5908e128f17c169aULL, 0xf77498dd8ad0852dULL, 0x74b4c4ceab102f64ULL, 0x183abadd10139845ULL,
1310	0xb165ba8daa92aaacULL, 0xd5c5ef9599386705ULL, 0xbe2f8f0cf8fc40d1ULL, 0x2701e635ee204514ULL,
1311	0x629fa80020156514ULL, 0xf223868764a8c1ceULL, 0x5b894fff0b3f060eULL, 0x60d9944cf708a3faULL,
1312	0xaeea001a1c7a201fULL, 0xebf16a633ee2ce63ULL, 0x6f7709594c7a07e1ULL, 0x79b958150d0208cbULL,
1313	0x24b55e5301d410e7ULL, 0xe3a34edff3fdc84dULL, 0xd88768e4904032d8ULL, 0x131384427b3aaeecULL,
1314	0x8405e51286234f14ULL, 0x14dc4739adb4c529ULL, 0xb8a2b5b250634ffdULL, 0x2fe2a94ad8a7ff93ULL,
1315	0xec5c57efe843faddULL, 0x2843ce40f0bb9918ULL, 0xa4b561d6cf3d6305ULL, 0x743629bde8fb777eULL,
1316	0x343edd46bbaf738fULL, 0xed981828b101a651ULL, 0xa401760b882c797aULL, 0x1fc223e28dc88730ULL,
1317	0x48604e91fc0fba0eULL, 0xb637f78f052c6fa4ULL, 0x91ccac3d09e9239cULL, 0x23f7eed4437a687cULL,
1318	0x5173b1118d9bd800ULL, 0x29d641b63189d4a7ULL, 0xfdbf177988bbc586ULL, 0x2959894fcad81df5ULL,
1319	0xaebc8ef3b4bbc899ULL, 0x4148995ab26992b9ULL, 0x24e20b0134f92cfbULL, 0x40d158894a05dee8ULL,
1320	0x46b00b1185af76f6ULL, 0x26bac77873187a79ULL, 0x3dc0bf95ab8fff5fULL, 0x2a608bd8945524d7ULL,
1321	0x26449588bd446302ULL, 0x7c4bc21c0388439cULL, 0x8e98a4f383bd11b2ULL, 0x26218d7bc9d876b9ULL,
1322	0xe3081542997c178aULL, 0x3c2d29a86fb6606fULL, 0x5c217736fa279374ULL, 0x7dde05734afeb1faULL,
1323	0x3bf10e3906d42babULL, 0xe4f7803e1980649cULL, 0xe6053bf89595bf7aULL, 0x394faf38da245530ULL,
1324	0x7a8efb58896928f4ULL, 0xfbc778e9cc6a113cULL, 0x72670ce330af596fULL, 0x48f222a81d3d6cf7ULL,
1325	0xf01fce410d72caa7ULL, 0x5a20ecc7213b5595ULL, 0x7bc21165c1fa1483ULL, 0x07f89ae31da8a741ULL,
1326	0x05d2c2b4c6830ff9ULL, 0xd43e330fc6316293ULL, 0xa5a5590a96d3a904ULL, 0x705edb91a65333b6ULL,
1327	0x048ee15e0bb9a5f7ULL, 0x3240cfca9e0aaf5dULL, 0x8f4b71ceedc4a40bULL, 0x621c0da3de544a6dULL,
1328	0x92872836a08c4091ULL, 0xce8375b010c91445ULL, 0x8a72eb524f276394ULL, 0x2667fcfa7ec83635ULL,
1329	0x7f4c173345e8752aULL, 0x061b47feee7079a5ULL, 0x25dd9afa9f86ff34ULL, 0x3780cef5425dc89cULL,
1330	0x1a46035a513bb4e9ULL, 0x3e1ef379ac575adaULL, 0xc78c5f1c5fa24b50ULL, 0x321a967634fd9f22ULL,
1331	0x946707b8826e27faULL, 0x3dca84d64c506fd0ULL, 0xc189218075e91436ULL, 0x6d9284169b3b8484ULL,
1332	0x3a67e840383f2ddfULL, 0x33eec9a30c4f9b75ULL, 0x3ec7c86fa783ef47ULL, 0x26ec449fbac9fbc4ULL,
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1467	0x7fb63e418f06dc99ULL, 0xa4460d99c166d7b8ULL, 0x24dd5248ce520a83ULL, 0x5ec3ad712b928358ULL,
1468	0x15022a5fbd17930fULL, 0xa4f64a77d82570e3ULL, 0x12bc8d6915783712ULL, 0x498194c0fc620abbULL,
1469	0x38a2d9d255686c82ULL, 0x785c6bd9193e21f0ULL, 0xe4d5c81ab24a5484ULL, 0x56307860b2e20989ULL,
1470	0x429d55f78b4d74c4ULL, 0x22f1834643350131ULL, 0x1e60c24598c71fffULL, 0x59f2f014979983efULL,
1471	0x46a47d56eb494a44ULL, 0x3e22a854d636a18eULL, 0xb346e15274491c3bULL, 0x2ceafd4e5390cde7ULL,
1472	0xba8a8538be0d6675ULL, 0x4b9074bb50818e23ULL, 0xcbdab89085d304c3ULL, 0x61a24fe0e56192c4ULL,
1473	0xcb7615e6db525bcbULL, 0xdd7d8c35a567e4caULL, 0xe6b4153acafcdd69ULL, 0x2d668e097f3c9766ULL,
1474	0xa57e7e265ce55ef0ULL, 0x5d9f4e527cd4b967ULL, 0xfbc83606492fd1e5ULL, 0x090d52beb7c3f7aeULL,
1475	0x09b9515a1e7b4d7cULL, 0x1f266a2599da44c0ULL, 0xa1c49548e2c55504ULL, 0x7ef04287126f15ccULL,
1476	0xfed1659dbd30ef15ULL, 0x8b4ab9eec4e0277bULL, 0x884d6236a5df3291ULL, 0x1fd96ea6bf5cf788ULL,
1477	0x42a161981f190d9aULL, 0x61d849507e6052c1ULL, 0x9fe113bf285a2cd5ULL, 0x7c22d676dbad85d8ULL,
1478	0x82e770ed2bfbd27dULL, 0x4c05b2ece996f5a5ULL, 0xcd40a9c2b0900150ULL, 0x5895319213d9bf64ULL,
1479	0xe7cc5d703fea2e08ULL, 0xb50c491258e2188cULL, 0xcce30baa48205bf0ULL, 0x537c659ccfa32d62ULL,
1480	0x37b6623a98cfc088ULL, 0xfe9bed1fa4d6aca4ULL, 0x04d29b8e56a8d1b0ULL, 0x725f71c40b519575ULL,
1481	0x28c7f89cd0339ce6ULL, 0x8367b14469ddc18bULL, 0x883ada83a6a1652cULL, 0x585f1974034d6c17ULL,
1482	0x89cfb266f1b19188ULL, 0xe63b4863e7c35217ULL, 0xd88c9da6b4c0526aULL, 0x3e035c9df0954635ULL,
1483	0xdd9d5412fb45de9dULL, 0xdd684532e4cff40dULL, 0x4b5c999b151d671cULL, 0x2d8c2cc811e7f690ULL,
1484	0x7f54be1d90055d40ULL, 0xa464c5df464aaf40ULL, 0x33979624f0e917beULL, 0x2c018dc527356b30ULL,
1485	0xa5415024e330b3d4ULL, 0x73ff3d96691652d3ULL, 0x94ec42c4ef9b59f1ULL, 0x0747201618d08e5aULL,
1486	0x4d6ca48aca411c53ULL, 0x66415f2fcfa66119ULL, 0x9c4dd40051e227ffULL, 0x59810bc09a02f7ebULL,
1487	0x2a7eb171b3dc101dULL, 0x441c5ab99ffef68eULL, 0x32025c9b93b359eaULL, 0x5e8ce0a71e9d112fULL,
1488	0xbfcccb92429503fdULL, 0xd271ba752f095d55ULL, 0x345ead5e972d091eULL, 0x18c8df11a83103baULL,
1489	0x90cd949a9aed0f4cULL, 0xc5d1f4cb6660e37eULL, 0xb8cac52d56c52e0bULL, 0x6e42e400c5808e0dULL,
1490	0xa3b46966eeaefd23ULL, 0x0c4f1f0be39ecdcaULL, 0x189dc8c9d683a51dULL, 0x51f27f054c09351bULL,
1491	0x4c487ccd2a320682ULL, 0x587ea95bb3df1c96ULL, 0xc8ccf79e555cb8e8ULL, 0x547dc829a206d73dULL,
1492	0xb822a6cd80c39b06ULL, 0xe96d54732000d4c6ULL, 0x28535b6f91463b4dULL, 0x228f4660e2486e1dULL,
1493	0x98799538de8d3abfULL, 0x8cd8330045ebca6eULL, 0x79952a008221e738ULL, 0x4322e1a7535cd2bbULL,
1494	0xb114c11819d1801cULL, 0x2016e4d84f3f5ec7ULL, 0xdd0e2df409260f4cULL, 0x5ec362c0ae5f7266ULL,
1495	0xc0462b18b8b2b4eeULL, 0x7cc8d950274d1afbULL, 0xf25f7105436b02d2ULL, 0x43bbf8dcbff9ccd3ULL,
1496	0xb6ad1767a039e9dfULL, 0xb0714da8f69d3583ULL, 0x5e55fa18b42931f5ULL, 0x4ed5558f33c60961ULL,
1497	0x1fe37901c647a5ddULL, 0x593ddf1f8081d357ULL, 0x0249a4fd813fd7a6ULL, 0x69acca274e9caf61ULL,
1498	0x047ba3ea330721c9ULL, 0x83423fc20e7e1ea0ULL, 0x1df4c0af01314a60ULL, 0x09a62dab89289527ULL,
1499	0xa5b325a49cc6cb00ULL, 0xe94b5dc654b56cb6ULL, 0x3be28779adc994a0ULL, 0x4296e8f8ba3a4aadULL,
1500	0x328689761e451eabULL, 0x2e4d598bff59594aULL, 0x49b96853d7a7084aULL, 0x4980a319601420a8ULL,
1501	0x9565b9e12f552c42ULL, 0x8a5318db7100fe96ULL, 0x05c90b4d43add0d7ULL, 0x538b4cd66a5d4edaULL,
1502	0xf4e94fc3e89f039fULL, 0x592c9af26f618045ULL, 0x08a36eb5fd4b9550ULL, 0x25fffaf6c2ed1419ULL,
1503	0x34434459cc79d354ULL, 0xeeecbfb4b1d5476bULL, 0xddeb34a061615d99ULL, 0x5129cecceb64b773ULL,
1504	0xee43215894993520ULL, 0x772f9c7cf14c0b3bULL, 0xd2e2fce306bedad5ULL, 0x715f42b546f06a97ULL,
1505	0x434ecdceda5b5f1aULL, 0x0da17115a49741a9ULL, 0x680bd77c73edad2eULL, 0x487c02354edd9041ULL,
1506	0xb8efeff3a70ed9c4ULL, 0x56a32aa3e857e302ULL, 0xdf3a68bd48a2a5a0ULL, 0x07f650b73176c444ULL,
1507	0xe38b9b1626e0ccb1ULL, 0x79e053c18b09fb36ULL, 0x56d90319c9f94964ULL, 0x1ca941e7ac9ff5c4ULL,
1508	0x49c4df29162fa0bbULL, 0x8488cf3282b33305ULL, 0x95dfda14cabb437dULL, 0x3391f78264d5ad86ULL,
1509	0x729ae06ae2b5095dULL, 0xd58a58d73259a946ULL, 0xe9834262d13921edULL, 0x27fedafaa54bb592ULL,
1510	0xa99dc5b829ad48bbULL, 0x5f025742499ee260ULL, 0x802c8ecd5d7513fdULL, 0x78ceb3ef3f6dd938ULL,
1511	0xc342f44f8a135d94ULL, 0x7b9edb44828cdda3ULL, 0x9436d11a0537cfe7ULL, 0x5064b164ec1ab4c8ULL,
1512	0x7020eccfd37eb2fcULL, 0x1f31ea3ed90d25fcULL, 0x1b930d7bdfa1bb34ULL, 0x5344467a48113044ULL,
1513	0x70073170f25e6dfbULL, 0xe385dc1a50114cc8ULL, 0x2348698ac8fc4f00ULL, 0x2a77a55284dd40d8ULL,
1514	0xfe06afe0c98c6ce4ULL, 0xc235df96dddfd6e4ULL, 0x1428d01e33bf1ed3ULL, 0x785768ec9300bdafULL,
1515	0x9702e57a91deb63bULL, 0x61bdb8bfe5ce8b80ULL, 0x645b426f3d1d58acULL, 0x4804a82227a557bcULL,
1516	0x8e57048ab44d2601ULL, 0x68d6501a4b3a6935ULL, 0xc39c9ec3f9e1c293ULL, 0x4172f257d4de63e2ULL,
1517	0xd368b450330c6401ULL, 0x040d3017418f2391ULL, 0x2c34bb6090b7d90dULL, 0x16f649228fdfd51fULL,
1518	0xbea6818e2b928ef5ULL, 0xe28ccf91cdc11e72ULL, 0x594aaa68e77a36cdULL, 0x313034806c7ffd0fULL,
1519	0x8a9d27ac2249bd65ULL, 0x19a3b464018e9512ULL, 0xc26ccff352b37ec7ULL, 0x056f68341d797b21ULL,
1520	0x5e79d6757efd2327ULL, 0xfabdbcb6553afe15ULL, 0xd3e7222c6eaf5a60ULL, 0x7046c76d4dae743bULL,
1521	0x660be872b18d4a55ULL, 0x19992518574e1496ULL, 0xc103053a302bdcbbULL, 0x3ed8e9800b218e8eULL,
1522	0x7b0b9239fa75e03eULL, 0xefe9fb684633c083ULL, 0x98a35fbe391a7793ULL, 0x6065510fe2d0fe34ULL,
1523	0x55cb668548abad0cULL, 0xb4584548da87e527ULL, 0x2c43ecea0107c1ddULL, 0x526028809372de35ULL,
1524	0x3415c56af9213b1fULL, 0x5bee1a4d017e98dbULL, 0x13f6b105b5cf709bULL, 0x5ff20e3482b29ab6ULL,
1525	0x0aa29c75cc2e6c90ULL, 0xfc7d73ca3a70e206ULL, 0x899fc38fc4b5c515ULL, 0x250386b124ffc207ULL,
1526	0x54ea28d5ae3d2b56ULL, 0x9913149dd6de60ceULL, 0x16694fc58f06d6c1ULL, 0x46b23975eb018fc7ULL,
1527	0x470a6a0fb4b7b4e2ULL, 0x5d92475a8f7253deULL, 0xabeee5b52fbd3adbULL, 0x7fa20801a0806968ULL,
1528	0x76f3faf19f7714d2ULL, 0xb3e840c12f4660c3ULL, 0x0fb4cd8df212744eULL, 0x4b065a251d3a2dd2ULL,
1529	0x5cebde383d77cd4aULL, 0x6adf39df882c9cb1ULL, 0xa2dd242eb09af759ULL, 0x3147c0e50e5f6422ULL,
1530	0x164ca5101d1350dbULL, 0xf8d13479c33fc962ULL, 0xe640ce4d13e5da08ULL, 0x4bdee0c45061f8baULL,
1531	0xd7c46dc1a4edb1c9ULL, 0x5514d7b6437fd98aULL, 0x58942f6bb2a1c00bULL, 0x2dffb2ab1d70710eULL,
1532	0xccdfcf2fc18b6d68ULL, 0xa8ebcba8b7806167ULL, 0x980697f95e2937e3ULL, 0x02fbba1cd0126e8cULL
1533};
1534
1535static void curve25519_ever64_base(u8 *out, const u8 *priv)
1536{
1537	u64 swap = 1;
1538	int i, j, k;
1539	u64 tmp[16 + 32 + 4];
1540	u64 *x1 = &tmp[0];
1541	u64 *z1 = &tmp[4];
1542	u64 *x2 = &tmp[8];
1543	u64 *z2 = &tmp[12];
1544	u64 *xz1 = &tmp[0];
1545	u64 *xz2 = &tmp[8];
1546	u64 *a = &tmp[0 + 16];
1547	u64 *b = &tmp[4 + 16];
1548	u64 *c = &tmp[8 + 16];
1549	u64 *ab = &tmp[0 + 16];
1550	u64 *abcd = &tmp[0 + 16];
1551	u64 *ef = &tmp[16 + 16];
1552	u64 *efgh = &tmp[16 + 16];
1553	u64 *key = &tmp[0 + 16 + 32];
1554
1555	memcpy(key, priv, 32);
1556	((u8 *)key)[0] &= 248;
1557	((u8 *)key)[31] = (((u8 *)key)[31] & 127) | 64;
1558
1559	x1[0] = 1, x1[1] = x1[2] = x1[3] = 0;
1560	z1[0] = 1, z1[1] = z1[2] = z1[3] = 0;
1561	z2[0] = 1, z2[1] = z2[2] = z2[3] = 0;
1562	memcpy(x2, p_minus_s, sizeof(p_minus_s));
1563
1564	j = 3;
1565	for (i = 0; i < 4; ++i) {
1566		while (j < (const int[]){ 64, 64, 64, 63 }[i]) {
1567			u64 bit = (key[i] >> j) & 1;
1568			k = (64 * i + j - 3);
1569			swap = swap ^ bit;
1570			cswap2(swap, xz1, xz2);
1571			swap = bit;
1572			fsub(b, x1, z1);
1573			fadd(a, x1, z1);
1574			fmul(c, &table_ladder[4 * k], b, ef);
1575			fsub(b, a, c);
1576			fadd(a, a, c);
1577			fsqr2(ab, ab, efgh);
1578			fmul2(xz1, xz2, ab, efgh);
1579			++j;
1580		}
1581		j = 0;
1582	}
1583
1584	point_double(xz1, abcd, efgh);
1585	point_double(xz1, abcd, efgh);
1586	point_double(xz1, abcd, efgh);
1587	encode_point(out, xz1);
1588
1589	memzero_explicit(tmp, sizeof(tmp));
1590}
1591
1592static __ro_after_init DEFINE_STATIC_KEY_FALSE(curve25519_use_bmi2_adx);
1593
1594void curve25519_arch(u8 mypublic[CURVE25519_KEY_SIZE],
1595		     const u8 secret[CURVE25519_KEY_SIZE],
1596		     const u8 basepoint[CURVE25519_KEY_SIZE])
1597{
1598	if (static_branch_likely(&curve25519_use_bmi2_adx))
1599		curve25519_ever64(mypublic, secret, basepoint);
1600	else
1601		curve25519_generic(mypublic, secret, basepoint);
1602}
1603EXPORT_SYMBOL(curve25519_arch);
1604
1605void curve25519_base_arch(u8 pub[CURVE25519_KEY_SIZE],
1606			  const u8 secret[CURVE25519_KEY_SIZE])
1607{
1608	if (static_branch_likely(&curve25519_use_bmi2_adx))
1609		curve25519_ever64_base(pub, secret);
1610	else
1611		curve25519_generic(pub, secret, curve25519_base_point);
1612}
1613EXPORT_SYMBOL(curve25519_base_arch);
1614
1615static int curve25519_set_secret(struct crypto_kpp *tfm, const void *buf,
1616				 unsigned int len)
1617{
1618	u8 *secret = kpp_tfm_ctx(tfm);
1619
1620	if (!len)
1621		curve25519_generate_secret(secret);
1622	else if (len == CURVE25519_KEY_SIZE &&
1623		 crypto_memneq(buf, curve25519_null_point, CURVE25519_KEY_SIZE))
1624		memcpy(secret, buf, CURVE25519_KEY_SIZE);
1625	else
1626		return -EINVAL;
1627	return 0;
1628}
1629
1630static int curve25519_generate_public_key(struct kpp_request *req)
1631{
1632	struct crypto_kpp *tfm = crypto_kpp_reqtfm(req);
1633	const u8 *secret = kpp_tfm_ctx(tfm);
1634	u8 buf[CURVE25519_KEY_SIZE];
1635	int copied, nbytes;
1636
1637	if (req->src)
1638		return -EINVAL;
1639
1640	curve25519_base_arch(buf, secret);
1641
1642	/* might want less than we've got */
1643	nbytes = min_t(size_t, CURVE25519_KEY_SIZE, req->dst_len);
1644	copied = sg_copy_from_buffer(req->dst, sg_nents_for_len(req->dst,
1645								nbytes),
1646				     buf, nbytes);
1647	if (copied != nbytes)
1648		return -EINVAL;
1649	return 0;
1650}
1651
1652static int curve25519_compute_shared_secret(struct kpp_request *req)
1653{
1654	struct crypto_kpp *tfm = crypto_kpp_reqtfm(req);
1655	const u8 *secret = kpp_tfm_ctx(tfm);
1656	u8 public_key[CURVE25519_KEY_SIZE];
1657	u8 buf[CURVE25519_KEY_SIZE];
1658	int copied, nbytes;
1659
1660	if (!req->src)
1661		return -EINVAL;
1662
1663	copied = sg_copy_to_buffer(req->src,
1664				   sg_nents_for_len(req->src,
1665						    CURVE25519_KEY_SIZE),
1666				   public_key, CURVE25519_KEY_SIZE);
1667	if (copied != CURVE25519_KEY_SIZE)
1668		return -EINVAL;
1669
1670	curve25519_arch(buf, secret, public_key);
1671
1672	/* might want less than we've got */
1673	nbytes = min_t(size_t, CURVE25519_KEY_SIZE, req->dst_len);
1674	copied = sg_copy_from_buffer(req->dst, sg_nents_for_len(req->dst,
1675								nbytes),
1676				     buf, nbytes);
1677	if (copied != nbytes)
1678		return -EINVAL;
1679	return 0;
1680}
1681
1682static unsigned int curve25519_max_size(struct crypto_kpp *tfm)
1683{
1684	return CURVE25519_KEY_SIZE;
1685}
1686
1687static struct kpp_alg curve25519_alg = {
1688	.base.cra_name		= "curve25519",
1689	.base.cra_driver_name	= "curve25519-x86",
1690	.base.cra_priority	= 200,
1691	.base.cra_module	= THIS_MODULE,
1692	.base.cra_ctxsize	= CURVE25519_KEY_SIZE,
1693
1694	.set_secret		= curve25519_set_secret,
1695	.generate_public_key	= curve25519_generate_public_key,
1696	.compute_shared_secret	= curve25519_compute_shared_secret,
1697	.max_size		= curve25519_max_size,
1698};
1699
1700
1701static int __init curve25519_mod_init(void)
1702{
1703	if (boot_cpu_has(X86_FEATURE_BMI2) && boot_cpu_has(X86_FEATURE_ADX))
1704		static_branch_enable(&curve25519_use_bmi2_adx);
1705	else
1706		return 0;
1707	return IS_REACHABLE(CONFIG_CRYPTO_KPP) ?
1708		crypto_register_kpp(&curve25519_alg) : 0;
1709}
1710
1711static void __exit curve25519_mod_exit(void)
1712{
1713	if (IS_REACHABLE(CONFIG_CRYPTO_KPP) &&
1714	    static_branch_likely(&curve25519_use_bmi2_adx))
1715		crypto_unregister_kpp(&curve25519_alg);
1716}
1717
1718module_init(curve25519_mod_init);
1719module_exit(curve25519_mod_exit);
1720
1721MODULE_ALIAS_CRYPTO("curve25519");
1722MODULE_ALIAS_CRYPTO("curve25519-x86");
1723MODULE_DESCRIPTION("Curve25519 algorithm, ADX optimized");
1724MODULE_LICENSE("GPL v2");
1725MODULE_AUTHOR("Jason A. Donenfeld <Jason@zx2c4.com>");