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linux-stable/arch/x86/crypto/curve25519-x86_64.c
Jason A. Donenfeld acd93f8a4c crypto: x86/curve25519 - use in/out register constraints more precisely 
Rather than passing all variables as modified, pass ones that are only
read into that parameter. This helps with old gcc versions when
alternatives are additionally used, and lets gcc's codegen be a little
bit more efficient. This also syncs up with the latest Vale/EverCrypt
output.

Reported-by: Mathias Krause <minipli@grsecurity.net>
Cc: Aymeric Fromherz <aymeric.fromherz@inria.fr>
Link: https://lore.kernel.org/wireguard/1554725710.1290070.1639240504281.JavaMail.zimbra@inria.fr/
Link: https://github.com/project-everest/hacl-star/pull/501
Signed-off-by: Jason A. Donenfeld <Jason@zx2c4.com>
Reviewed-by: Mathias Krause <minipli@grsecurity.net>
Signed-off-by: Herbert Xu <herbert@gondor.apana.org.au>
2021-12-24 14:18:22 +11:00

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// SPDX-License-Identifier: GPL-2.0 OR MIT
/*
* Copyright (C) 2020 Jason A. Donenfeld <Jason@zx2c4.com>. All Rights Reserved.
* Copyright (c) 2016-2020 INRIA, CMU and Microsoft Corporation
*/
#include <crypto/curve25519.h>
#include <crypto/internal/kpp.h>
#include <linux/types.h>
#include <linux/jump_label.h>
#include <linux/kernel.h>
#include <linux/module.h>
#include <linux/scatterlist.h>
#include <asm/cpufeature.h>
#include <asm/processor.h>
static __always_inline u64 eq_mask(u64 a, u64 b)
{
u64 x = a ^ b;
u64 minus_x = ~x + (u64)1U;
u64 x_or_minus_x = x | minus_x;
u64 xnx = x_or_minus_x >> (u32)63U;
return xnx - (u64)1U;
}
static __always_inline u64 gte_mask(u64 a, u64 b)
{
u64 x = a;
u64 y = b;
u64 x_xor_y = x ^ y;
u64 x_sub_y = x - y;
u64 x_sub_y_xor_y = x_sub_y ^ y;
u64 q = x_xor_y | x_sub_y_xor_y;
u64 x_xor_q = x ^ q;
u64 x_xor_q_ = x_xor_q >> (u32)63U;
return x_xor_q_ - (u64)1U;
}
/* Computes the addition of four-element f1 with value in f2
* and returns the carry (if any) */
static inline u64 add_scalar(u64 *out, const u64 *f1, u64 f2)
{
u64 carry_r;
asm volatile(
/* Clear registers to propagate the carry bit */
" xor %%r8d, %%r8d;"
" xor %%r9d, %%r9d;"
" xor %%r10d, %%r10d;"
" xor %%r11d, %%r11d;"
" xor %k1, %k1;"
/* Begin addition chain */
" addq 0(%3), %0;"
" movq %0, 0(%2);"
" adcxq 8(%3), %%r8;"
" movq %%r8, 8(%2);"
" adcxq 16(%3), %%r9;"
" movq %%r9, 16(%2);"
" adcxq 24(%3), %%r10;"
" movq %%r10, 24(%2);"
/* Return the carry bit in a register */
" adcx %%r11, %1;"
: "+&r"(f2), "=&r"(carry_r)
: "r"(out), "r"(f1)
: "%r8", "%r9", "%r10", "%r11", "memory", "cc");
return carry_r;
}
/* Computes the field addition of two field elements */
static inline void fadd(u64 *out, const u64 *f1, const u64 *f2)
{
asm volatile(
/* Compute the raw addition of f1 + f2 */
" movq 0(%0), %%r8;"
" addq 0(%2), %%r8;"
" movq 8(%0), %%r9;"
" adcxq 8(%2), %%r9;"
" movq 16(%0), %%r10;"
" adcxq 16(%2), %%r10;"
" movq 24(%0), %%r11;"
" adcxq 24(%2), %%r11;"
/* Wrap the result back into the field */
/* Step 1: Compute carry*38 */
" mov $0, %%rax;"
" mov $38, %0;"
" cmovc %0, %%rax;"
/* Step 2: Add carry*38 to the original sum */
" xor %%ecx, %%ecx;"
" add %%rax, %%r8;"
" adcx %%rcx, %%r9;"
" movq %%r9, 8(%1);"
" adcx %%rcx, %%r10;"
" movq %%r10, 16(%1);"
" adcx %%rcx, %%r11;"
" movq %%r11, 24(%1);"
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
" mov $0, %%rax;"
" cmovc %0, %%rax;"
" add %%rax, %%r8;"
" movq %%r8, 0(%1);"
: "+&r"(f2)
: "r"(out), "r"(f1)
: "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc");
}
/* Computes the field subtraction of two field elements */
static inline void fsub(u64 *out, const u64 *f1, const u64 *f2)
{
asm volatile(
/* Compute the raw subtraction of f1-f2 */
" movq 0(%1), %%r8;"
" subq 0(%2), %%r8;"
" movq 8(%1), %%r9;"
" sbbq 8(%2), %%r9;"
" movq 16(%1), %%r10;"
" sbbq 16(%2), %%r10;"
" movq 24(%1), %%r11;"
" sbbq 24(%2), %%r11;"
/* Wrap the result back into the field */
/* Step 1: Compute carry*38 */
" mov $0, %%rax;"
" mov $38, %%rcx;"
" cmovc %%rcx, %%rax;"
/* Step 2: Subtract carry*38 from the original difference */
" sub %%rax, %%r8;"
" sbb $0, %%r9;"
" sbb $0, %%r10;"
" sbb $0, %%r11;"
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
" mov $0, %%rax;"
" cmovc %%rcx, %%rax;"
" sub %%rax, %%r8;"
/* Store the result */
" movq %%r8, 0(%0);"
" movq %%r9, 8(%0);"
" movq %%r10, 16(%0);"
" movq %%r11, 24(%0);"
:
: "r"(out), "r"(f1), "r"(f2)
: "%rax", "%rcx", "%r8", "%r9", "%r10", "%r11", "memory", "cc");
}
/* Computes a field multiplication: out <- f1 * f2
* Uses the 8-element buffer tmp for intermediate results */
static inline void fmul(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp)
{
asm volatile(
/* Compute the raw multiplication: tmp <- src1 * src2 */
/* Compute src1[0] * src2 */
" movq 0(%0), %%rdx;"
" mulxq 0(%1), %%r8, %%r9;"
" xor %%r10d, %%r10d;"
" movq %%r8, 0(%2);"
" mulxq 8(%1), %%r10, %%r11;"
" adox %%r9, %%r10;"
" movq %%r10, 8(%2);"
" mulxq 16(%1), %%rbx, %%r13;"
" adox %%r11, %%rbx;"
" mulxq 24(%1), %%r14, %%rdx;"
" adox %%r13, %%r14;"
" mov $0, %%rax;"
" adox %%rdx, %%rax;"
/* Compute src1[1] * src2 */
" movq 8(%0), %%rdx;"
" mulxq 0(%1), %%r8, %%r9;"
" xor %%r10d, %%r10d;"
" adcxq 8(%2), %%r8;"
" movq %%r8, 8(%2);"
" mulxq 8(%1), %%r10, %%r11;"
" adox %%r9, %%r10;"
" adcx %%rbx, %%r10;"
" movq %%r10, 16(%2);"
" mulxq 16(%1), %%rbx, %%r13;"
" adox %%r11, %%rbx;"
" adcx %%r14, %%rbx;"
" mov $0, %%r8;"
" mulxq 24(%1), %%r14, %%rdx;"
" adox %%r13, %%r14;"
" adcx %%rax, %%r14;"
" mov $0, %%rax;"
" adox %%rdx, %%rax;"
" adcx %%r8, %%rax;"
/* Compute src1[2] * src2 */
" movq 16(%0), %%rdx;"
" mulxq 0(%1), %%r8, %%r9;"
" xor %%r10d, %%r10d;"
" adcxq 16(%2), %%r8;"
" movq %%r8, 16(%2);"
" mulxq 8(%1), %%r10, %%r11;"
" adox %%r9, %%r10;"
" adcx %%rbx, %%r10;"
" movq %%r10, 24(%2);"
" mulxq 16(%1), %%rbx, %%r13;"
" adox %%r11, %%rbx;"
" adcx %%r14, %%rbx;"
" mov $0, %%r8;"
" mulxq 24(%1), %%r14, %%rdx;"
" adox %%r13, %%r14;"
" adcx %%rax, %%r14;"
" mov $0, %%rax;"
" adox %%rdx, %%rax;"
" adcx %%r8, %%rax;"
/* Compute src1[3] * src2 */
" movq 24(%0), %%rdx;"
" mulxq 0(%1), %%r8, %%r9;"
" xor %%r10d, %%r10d;"
" adcxq 24(%2), %%r8;"
" movq %%r8, 24(%2);"
" mulxq 8(%1), %%r10, %%r11;"
" adox %%r9, %%r10;"
" adcx %%rbx, %%r10;"
" movq %%r10, 32(%2);"
" mulxq 16(%1), %%rbx, %%r13;"
" adox %%r11, %%rbx;"
" adcx %%r14, %%rbx;"
" movq %%rbx, 40(%2);"
" mov $0, %%r8;"
" mulxq 24(%1), %%r14, %%rdx;"
" adox %%r13, %%r14;"
" adcx %%rax, %%r14;"
" movq %%r14, 48(%2);"
" mov $0, %%rax;"
" adox %%rdx, %%rax;"
" adcx %%r8, %%rax;"
" movq %%rax, 56(%2);"
/* Line up pointers */
" mov %2, %0;"
" mov %3, %2;"
/* Wrap the result back into the field */
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
" mov $38, %%rdx;"
" mulxq 32(%0), %%r8, %%r13;"
" xor %k1, %k1;"
" adoxq 0(%0), %%r8;"
" mulxq 40(%0), %%r9, %%rbx;"
" adcx %%r13, %%r9;"
" adoxq 8(%0), %%r9;"
" mulxq 48(%0), %%r10, %%r13;"
" adcx %%rbx, %%r10;"
" adoxq 16(%0), %%r10;"
" mulxq 56(%0), %%r11, %%rax;"
" adcx %%r13, %%r11;"
" adoxq 24(%0), %%r11;"
" adcx %1, %%rax;"
" adox %1, %%rax;"
" imul %%rdx, %%rax;"
/* Step 2: Fold the carry back into dst */
" add %%rax, %%r8;"
" adcx %1, %%r9;"
" movq %%r9, 8(%2);"
" adcx %1, %%r10;"
" movq %%r10, 16(%2);"
" adcx %1, %%r11;"
" movq %%r11, 24(%2);"
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
" mov $0, %%rax;"
" cmovc %%rdx, %%rax;"
" add %%rax, %%r8;"
" movq %%r8, 0(%2);"
: "+&r"(f1), "+&r"(f2), "+&r"(tmp)
: "r"(out)
: "%rax", "%rbx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r13",
"%r14", "memory", "cc");
}
/* Computes two field multiplications:
* out[0] <- f1[0] * f2[0]
* out[1] <- f1[1] * f2[1]
* Uses the 16-element buffer tmp for intermediate results: */
static inline void fmul2(u64 *out, const u64 *f1, const u64 *f2, u64 *tmp)
{
asm volatile(
/* Compute the raw multiplication tmp[0] <- f1[0] * f2[0] */
/* Compute src1[0] * src2 */
" movq 0(%0), %%rdx;"
" mulxq 0(%1), %%r8, %%r9;"
" xor %%r10d, %%r10d;"
" movq %%r8, 0(%2);"
" mulxq 8(%1), %%r10, %%r11;"
" adox %%r9, %%r10;"
" movq %%r10, 8(%2);"
" mulxq 16(%1), %%rbx, %%r13;"
" adox %%r11, %%rbx;"
" mulxq 24(%1), %%r14, %%rdx;"
" adox %%r13, %%r14;"
" mov $0, %%rax;"
" adox %%rdx, %%rax;"
/* Compute src1[1] * src2 */
" movq 8(%0), %%rdx;"
" mulxq 0(%1), %%r8, %%r9;"
" xor %%r10d, %%r10d;"
" adcxq 8(%2), %%r8;"
" movq %%r8, 8(%2);"
" mulxq 8(%1), %%r10, %%r11;"
" adox %%r9, %%r10;"
" adcx %%rbx, %%r10;"
" movq %%r10, 16(%2);"
" mulxq 16(%1), %%rbx, %%r13;"
" adox %%r11, %%rbx;"
" adcx %%r14, %%rbx;"
" mov $0, %%r8;"
" mulxq 24(%1), %%r14, %%rdx;"
" adox %%r13, %%r14;"
" adcx %%rax, %%r14;"
" mov $0, %%rax;"
" adox %%rdx, %%rax;"
" adcx %%r8, %%rax;"
/* Compute src1[2] * src2 */
" movq 16(%0), %%rdx;"
" mulxq 0(%1), %%r8, %%r9;"
" xor %%r10d, %%r10d;"
" adcxq 16(%2), %%r8;"
" movq %%r8, 16(%2);"
" mulxq 8(%1), %%r10, %%r11;"
" adox %%r9, %%r10;"
" adcx %%rbx, %%r10;"
" movq %%r10, 24(%2);"
" mulxq 16(%1), %%rbx, %%r13;"
" adox %%r11, %%rbx;"
" adcx %%r14, %%rbx;"
" mov $0, %%r8;"
" mulxq 24(%1), %%r14, %%rdx;"
" adox %%r13, %%r14;"
" adcx %%rax, %%r14;"
" mov $0, %%rax;"
" adox %%rdx, %%rax;"
" adcx %%r8, %%rax;"
/* Compute src1[3] * src2 */
" movq 24(%0), %%rdx;"
" mulxq 0(%1), %%r8, %%r9;"
" xor %%r10d, %%r10d;"
" adcxq 24(%2), %%r8;"
" movq %%r8, 24(%2);"
" mulxq 8(%1), %%r10, %%r11;"
" adox %%r9, %%r10;"
" adcx %%rbx, %%r10;"
" movq %%r10, 32(%2);"
" mulxq 16(%1), %%rbx, %%r13;"
" adox %%r11, %%rbx;"
" adcx %%r14, %%rbx;"
" movq %%rbx, 40(%2);"
" mov $0, %%r8;"
" mulxq 24(%1), %%r14, %%rdx;"
" adox %%r13, %%r14;"
" adcx %%rax, %%r14;"
" movq %%r14, 48(%2);"
" mov $0, %%rax;"
" adox %%rdx, %%rax;"
" adcx %%r8, %%rax;"
" movq %%rax, 56(%2);"
/* Compute the raw multiplication tmp[1] <- f1[1] * f2[1] */
/* Compute src1[0] * src2 */
" movq 32(%0), %%rdx;"
" mulxq 32(%1), %%r8, %%r9;"
" xor %%r10d, %%r10d;"
" movq %%r8, 64(%2);"
" mulxq 40(%1), %%r10, %%r11;"
" adox %%r9, %%r10;"
" movq %%r10, 72(%2);"
" mulxq 48(%1), %%rbx, %%r13;"
" adox %%r11, %%rbx;"
" mulxq 56(%1), %%r14, %%rdx;"
" adox %%r13, %%r14;"
" mov $0, %%rax;"
" adox %%rdx, %%rax;"
/* Compute src1[1] * src2 */
" movq 40(%0), %%rdx;"
" mulxq 32(%1), %%r8, %%r9;"
" xor %%r10d, %%r10d;"
" adcxq 72(%2), %%r8;"
" movq %%r8, 72(%2);"
" mulxq 40(%1), %%r10, %%r11;"
" adox %%r9, %%r10;"
" adcx %%rbx, %%r10;"
" movq %%r10, 80(%2);"
" mulxq 48(%1), %%rbx, %%r13;"
" adox %%r11, %%rbx;"
" adcx %%r14, %%rbx;"
" mov $0, %%r8;"
" mulxq 56(%1), %%r14, %%rdx;"
" adox %%r13, %%r14;"
" adcx %%rax, %%r14;"
" mov $0, %%rax;"
" adox %%rdx, %%rax;"
" adcx %%r8, %%rax;"
/* Compute src1[2] * src2 */
" movq 48(%0), %%rdx;"
" mulxq 32(%1), %%r8, %%r9;"
" xor %%r10d, %%r10d;"
" adcxq 80(%2), %%r8;"
" movq %%r8, 80(%2);"
" mulxq 40(%1), %%r10, %%r11;"
" adox %%r9, %%r10;"
" adcx %%rbx, %%r10;"
" movq %%r10, 88(%2);"
" mulxq 48(%1), %%rbx, %%r13;"
" adox %%r11, %%rbx;"
" adcx %%r14, %%rbx;"
" mov $0, %%r8;"
" mulxq 56(%1), %%r14, %%rdx;"
" adox %%r13, %%r14;"
" adcx %%rax, %%r14;"
" mov $0, %%rax;"
" adox %%rdx, %%rax;"
" adcx %%r8, %%rax;"
/* Compute src1[3] * src2 */
" movq 56(%0), %%rdx;"
" mulxq 32(%1), %%r8, %%r9;"
" xor %%r10d, %%r10d;"
" adcxq 88(%2), %%r8;"
" movq %%r8, 88(%2);"
" mulxq 40(%1), %%r10, %%r11;"
" adox %%r9, %%r10;"
" adcx %%rbx, %%r10;"
" movq %%r10, 96(%2);"
" mulxq 48(%1), %%rbx, %%r13;"
" adox %%r11, %%rbx;"
" adcx %%r14, %%rbx;"
" movq %%rbx, 104(%2);"
" mov $0, %%r8;"
" mulxq 56(%1), %%r14, %%rdx;"
" adox %%r13, %%r14;"
" adcx %%rax, %%r14;"
" movq %%r14, 112(%2);"
" mov $0, %%rax;"
" adox %%rdx, %%rax;"
" adcx %%r8, %%rax;"
" movq %%rax, 120(%2);"
/* Line up pointers */
" mov %2, %0;"
" mov %3, %2;"
/* Wrap the results back into the field */
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
" mov $38, %%rdx;"
" mulxq 32(%0), %%r8, %%r13;"
" xor %k1, %k1;"
" adoxq 0(%0), %%r8;"
" mulxq 40(%0), %%r9, %%rbx;"
" adcx %%r13, %%r9;"
" adoxq 8(%0), %%r9;"
" mulxq 48(%0), %%r10, %%r13;"
" adcx %%rbx, %%r10;"
" adoxq 16(%0), %%r10;"
" mulxq 56(%0), %%r11, %%rax;"
" adcx %%r13, %%r11;"
" adoxq 24(%0), %%r11;"
" adcx %1, %%rax;"
" adox %1, %%rax;"
" imul %%rdx, %%rax;"
/* Step 2: Fold the carry back into dst */
" add %%rax, %%r8;"
" adcx %1, %%r9;"
" movq %%r9, 8(%2);"
" adcx %1, %%r10;"
" movq %%r10, 16(%2);"
" adcx %1, %%r11;"
" movq %%r11, 24(%2);"
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
" mov $0, %%rax;"
" cmovc %%rdx, %%rax;"
" add %%rax, %%r8;"
" movq %%r8, 0(%2);"
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
" mov $38, %%rdx;"
" mulxq 96(%0), %%r8, %%r13;"
" xor %k1, %k1;"
" adoxq 64(%0), %%r8;"
" mulxq 104(%0), %%r9, %%rbx;"
" adcx %%r13, %%r9;"
" adoxq 72(%0), %%r9;"
" mulxq 112(%0), %%r10, %%r13;"
" adcx %%rbx, %%r10;"
" adoxq 80(%0), %%r10;"
" mulxq 120(%0), %%r11, %%rax;"
" adcx %%r13, %%r11;"
" adoxq 88(%0), %%r11;"
" adcx %1, %%rax;"
" adox %1, %%rax;"
" imul %%rdx, %%rax;"
/* Step 2: Fold the carry back into dst */
" add %%rax, %%r8;"
" adcx %1, %%r9;"
" movq %%r9, 40(%2);"
" adcx %1, %%r10;"
" movq %%r10, 48(%2);"
" adcx %1, %%r11;"
" movq %%r11, 56(%2);"
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
" mov $0, %%rax;"
" cmovc %%rdx, %%rax;"
" add %%rax, %%r8;"
" movq %%r8, 32(%2);"
: "+&r"(f1), "+&r"(f2), "+&r"(tmp)
: "r"(out)
: "%rax", "%rbx", "%rdx", "%r8", "%r9", "%r10", "%r11", "%r13",
"%r14", "memory", "cc");
}
/* Computes the field multiplication of four-element f1 with value in f2
* Requires f2 to be smaller than 2^17 */
static inline void fmul_scalar(u64 *out, const u64 *f1, u64 f2)
{
register u64 f2_r asm("rdx") = f2;
asm volatile(
/* Compute the raw multiplication of f1*f2 */
" mulxq 0(%2), %%r8, %%rcx;" /* f1[0]*f2 */
" mulxq 8(%2), %%r9, %%rbx;" /* f1[1]*f2 */
" add %%rcx, %%r9;"
" mov $0, %%rcx;"
" mulxq 16(%2), %%r10, %%r13;" /* f1[2]*f2 */
" adcx %%rbx, %%r10;"
" mulxq 24(%2), %%r11, %%rax;" /* f1[3]*f2 */
" adcx %%r13, %%r11;"
" adcx %%rcx, %%rax;"
/* Wrap the result back into the field */
/* Step 1: Compute carry*38 */
" mov $38, %%rdx;"
" imul %%rdx, %%rax;"
/* Step 2: Fold the carry back into dst */
" add %%rax, %%r8;"
" adcx %%rcx, %%r9;"
" movq %%r9, 8(%1);"
" adcx %%rcx, %%r10;"
" movq %%r10, 16(%1);"
" adcx %%rcx, %%r11;"
" movq %%r11, 24(%1);"
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
" mov $0, %%rax;"
" cmovc %%rdx, %%rax;"
" add %%rax, %%r8;"
" movq %%r8, 0(%1);"
: "+&r"(f2_r)
: "r"(out), "r"(f1)
: "%rax", "%rbx", "%rcx", "%r8", "%r9", "%r10", "%r11", "%r13",
"memory", "cc");
}
/* Computes p1 <- bit ? p2 : p1 in constant time */
static inline void cswap2(u64 bit, const u64 *p1, const u64 *p2)
{
asm volatile(
/* Transfer bit into CF flag */
" add $18446744073709551615, %0;"
/* cswap p1[0], p2[0] */
" movq 0(%1), %%r8;"
" movq 0(%2), %%r9;"
" mov %%r8, %%r10;"
" cmovc %%r9, %%r8;"
" cmovc %%r10, %%r9;"
" movq %%r8, 0(%1);"
" movq %%r9, 0(%2);"
/* cswap p1[1], p2[1] */
" movq 8(%1), %%r8;"
" movq 8(%2), %%r9;"
" mov %%r8, %%r10;"
" cmovc %%r9, %%r8;"
" cmovc %%r10, %%r9;"
" movq %%r8, 8(%1);"
" movq %%r9, 8(%2);"
/* cswap p1[2], p2[2] */
" movq 16(%1), %%r8;"
" movq 16(%2), %%r9;"
" mov %%r8, %%r10;"
" cmovc %%r9, %%r8;"
" cmovc %%r10, %%r9;"
" movq %%r8, 16(%1);"
" movq %%r9, 16(%2);"
/* cswap p1[3], p2[3] */
" movq 24(%1), %%r8;"
" movq 24(%2), %%r9;"
" mov %%r8, %%r10;"
" cmovc %%r9, %%r8;"
" cmovc %%r10, %%r9;"
" movq %%r8, 24(%1);"
" movq %%r9, 24(%2);"
/* cswap p1[4], p2[4] */
" movq 32(%1), %%r8;"
" movq 32(%2), %%r9;"
" mov %%r8, %%r10;"
" cmovc %%r9, %%r8;"
" cmovc %%r10, %%r9;"
" movq %%r8, 32(%1);"
" movq %%r9, 32(%2);"
/* cswap p1[5], p2[5] */
" movq 40(%1), %%r8;"
" movq 40(%2), %%r9;"
" mov %%r8, %%r10;"
" cmovc %%r9, %%r8;"
" cmovc %%r10, %%r9;"
" movq %%r8, 40(%1);"
" movq %%r9, 40(%2);"
/* cswap p1[6], p2[6] */
" movq 48(%1), %%r8;"
" movq 48(%2), %%r9;"
" mov %%r8, %%r10;"
" cmovc %%r9, %%r8;"
" cmovc %%r10, %%r9;"
" movq %%r8, 48(%1);"
" movq %%r9, 48(%2);"
/* cswap p1[7], p2[7] */
" movq 56(%1), %%r8;"
" movq 56(%2), %%r9;"
" mov %%r8, %%r10;"
" cmovc %%r9, %%r8;"
" cmovc %%r10, %%r9;"
" movq %%r8, 56(%1);"
" movq %%r9, 56(%2);"
: "+&r"(bit)
: "r"(p1), "r"(p2)
: "%r8", "%r9", "%r10", "memory", "cc");
}
/* Computes the square of a field element: out <- f * f
* Uses the 8-element buffer tmp for intermediate results */
static inline void fsqr(u64 *out, const u64 *f, u64 *tmp)
{
asm volatile(
/* Compute the raw multiplication: tmp <- f * f */
/* Step 1: Compute all partial products */
" movq 0(%0), %%rdx;" /* f[0] */
" mulxq 8(%0), %%r8, %%r14;"
" xor %%r15d, %%r15d;" /* f[1]*f[0] */
" mulxq 16(%0), %%r9, %%r10;"
" adcx %%r14, %%r9;" /* f[2]*f[0] */
" mulxq 24(%0), %%rax, %%rcx;"
" adcx %%rax, %%r10;" /* f[3]*f[0] */
" movq 24(%0), %%rdx;" /* f[3] */
" mulxq 8(%0), %%r11, %%rbx;"
" adcx %%rcx, %%r11;" /* f[1]*f[3] */
" mulxq 16(%0), %%rax, %%r13;"
" adcx %%rax, %%rbx;" /* f[2]*f[3] */
" movq 8(%0), %%rdx;"
" adcx %%r15, %%r13;" /* f1 */
" mulxq 16(%0), %%rax, %%rcx;"
" mov $0, %%r14;" /* f[2]*f[1] */
/* Step 2: Compute two parallel carry chains */
" xor %%r15d, %%r15d;"
" adox %%rax, %%r10;"
" adcx %%r8, %%r8;"
" adox %%rcx, %%r11;"
" adcx %%r9, %%r9;"
" adox %%r15, %%rbx;"
" adcx %%r10, %%r10;"
" adox %%r15, %%r13;"
" adcx %%r11, %%r11;"
" adox %%r15, %%r14;"
" adcx %%rbx, %%rbx;"
" adcx %%r13, %%r13;"
" adcx %%r14, %%r14;"
/* Step 3: Compute intermediate squares */
" movq 0(%0), %%rdx;"
" mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
" movq %%rax, 0(%1);"
" add %%rcx, %%r8;"
" movq %%r8, 8(%1);"
" movq 8(%0), %%rdx;"
" mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
" adcx %%rax, %%r9;"
" movq %%r9, 16(%1);"
" adcx %%rcx, %%r10;"
" movq %%r10, 24(%1);"
" movq 16(%0), %%rdx;"
" mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
" adcx %%rax, %%r11;"
" movq %%r11, 32(%1);"
" adcx %%rcx, %%rbx;"
" movq %%rbx, 40(%1);"
" movq 24(%0), %%rdx;"
" mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
" adcx %%rax, %%r13;"
" movq %%r13, 48(%1);"
" adcx %%rcx, %%r14;"
" movq %%r14, 56(%1);"
/* Line up pointers */
" mov %1, %0;"
" mov %2, %1;"
/* Wrap the result back into the field */
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
" mov $38, %%rdx;"
" mulxq 32(%0), %%r8, %%r13;"
" xor %%ecx, %%ecx;"
" adoxq 0(%0), %%r8;"
" mulxq 40(%0), %%r9, %%rbx;"
" adcx %%r13, %%r9;"
" adoxq 8(%0), %%r9;"
" mulxq 48(%0), %%r10, %%r13;"
" adcx %%rbx, %%r10;"
" adoxq 16(%0), %%r10;"
" mulxq 56(%0), %%r11, %%rax;"
" adcx %%r13, %%r11;"
" adoxq 24(%0), %%r11;"
" adcx %%rcx, %%rax;"
" adox %%rcx, %%rax;"
" imul %%rdx, %%rax;"
/* Step 2: Fold the carry back into dst */
" add %%rax, %%r8;"
" adcx %%rcx, %%r9;"
" movq %%r9, 8(%1);"
" adcx %%rcx, %%r10;"
" movq %%r10, 16(%1);"
" adcx %%rcx, %%r11;"
" movq %%r11, 24(%1);"
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
" mov $0, %%rax;"
" cmovc %%rdx, %%rax;"
" add %%rax, %%r8;"
" movq %%r8, 0(%1);"
: "+&r"(f), "+&r"(tmp)
: "r"(out)
: "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11",
"%r13", "%r14", "%r15", "memory", "cc");
}
/* Computes two field squarings:
* out[0] <- f[0] * f[0]
* out[1] <- f[1] * f[1]
* Uses the 16-element buffer tmp for intermediate results */
static inline void fsqr2(u64 *out, const u64 *f, u64 *tmp)
{
asm volatile(
/* Step 1: Compute all partial products */
" movq 0(%0), %%rdx;" /* f[0] */
" mulxq 8(%0), %%r8, %%r14;"
" xor %%r15d, %%r15d;" /* f[1]*f[0] */
" mulxq 16(%0), %%r9, %%r10;"
" adcx %%r14, %%r9;" /* f[2]*f[0] */
" mulxq 24(%0), %%rax, %%rcx;"
" adcx %%rax, %%r10;" /* f[3]*f[0] */
" movq 24(%0), %%rdx;" /* f[3] */
" mulxq 8(%0), %%r11, %%rbx;"
" adcx %%rcx, %%r11;" /* f[1]*f[3] */
" mulxq 16(%0), %%rax, %%r13;"
" adcx %%rax, %%rbx;" /* f[2]*f[3] */
" movq 8(%0), %%rdx;"
" adcx %%r15, %%r13;" /* f1 */
" mulxq 16(%0), %%rax, %%rcx;"
" mov $0, %%r14;" /* f[2]*f[1] */
/* Step 2: Compute two parallel carry chains */
" xor %%r15d, %%r15d;"
" adox %%rax, %%r10;"
" adcx %%r8, %%r8;"
" adox %%rcx, %%r11;"
" adcx %%r9, %%r9;"
" adox %%r15, %%rbx;"
" adcx %%r10, %%r10;"
" adox %%r15, %%r13;"
" adcx %%r11, %%r11;"
" adox %%r15, %%r14;"
" adcx %%rbx, %%rbx;"
" adcx %%r13, %%r13;"
" adcx %%r14, %%r14;"
/* Step 3: Compute intermediate squares */
" movq 0(%0), %%rdx;"
" mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
" movq %%rax, 0(%1);"
" add %%rcx, %%r8;"
" movq %%r8, 8(%1);"
" movq 8(%0), %%rdx;"
" mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
" adcx %%rax, %%r9;"
" movq %%r9, 16(%1);"
" adcx %%rcx, %%r10;"
" movq %%r10, 24(%1);"
" movq 16(%0), %%rdx;"
" mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
" adcx %%rax, %%r11;"
" movq %%r11, 32(%1);"
" adcx %%rcx, %%rbx;"
" movq %%rbx, 40(%1);"
" movq 24(%0), %%rdx;"
" mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
" adcx %%rax, %%r13;"
" movq %%r13, 48(%1);"
" adcx %%rcx, %%r14;"
" movq %%r14, 56(%1);"
/* Step 1: Compute all partial products */
" movq 32(%0), %%rdx;" /* f[0] */
" mulxq 40(%0), %%r8, %%r14;"
" xor %%r15d, %%r15d;" /* f[1]*f[0] */
" mulxq 48(%0), %%r9, %%r10;"
" adcx %%r14, %%r9;" /* f[2]*f[0] */
" mulxq 56(%0), %%rax, %%rcx;"
" adcx %%rax, %%r10;" /* f[3]*f[0] */
" movq 56(%0), %%rdx;" /* f[3] */
" mulxq 40(%0), %%r11, %%rbx;"
" adcx %%rcx, %%r11;" /* f[1]*f[3] */
" mulxq 48(%0), %%rax, %%r13;"
" adcx %%rax, %%rbx;" /* f[2]*f[3] */
" movq 40(%0), %%rdx;"
" adcx %%r15, %%r13;" /* f1 */
" mulxq 48(%0), %%rax, %%rcx;"
" mov $0, %%r14;" /* f[2]*f[1] */
/* Step 2: Compute two parallel carry chains */
" xor %%r15d, %%r15d;"
" adox %%rax, %%r10;"
" adcx %%r8, %%r8;"
" adox %%rcx, %%r11;"
" adcx %%r9, %%r9;"
" adox %%r15, %%rbx;"
" adcx %%r10, %%r10;"
" adox %%r15, %%r13;"
" adcx %%r11, %%r11;"
" adox %%r15, %%r14;"
" adcx %%rbx, %%rbx;"
" adcx %%r13, %%r13;"
" adcx %%r14, %%r14;"
/* Step 3: Compute intermediate squares */
" movq 32(%0), %%rdx;"
" mulx %%rdx, %%rax, %%rcx;" /* f[0]^2 */
" movq %%rax, 64(%1);"
" add %%rcx, %%r8;"
" movq %%r8, 72(%1);"
" movq 40(%0), %%rdx;"
" mulx %%rdx, %%rax, %%rcx;" /* f[1]^2 */
" adcx %%rax, %%r9;"
" movq %%r9, 80(%1);"
" adcx %%rcx, %%r10;"
" movq %%r10, 88(%1);"
" movq 48(%0), %%rdx;"
" mulx %%rdx, %%rax, %%rcx;" /* f[2]^2 */
" adcx %%rax, %%r11;"
" movq %%r11, 96(%1);"
" adcx %%rcx, %%rbx;"
" movq %%rbx, 104(%1);"
" movq 56(%0), %%rdx;"
" mulx %%rdx, %%rax, %%rcx;" /* f[3]^2 */
" adcx %%rax, %%r13;"
" movq %%r13, 112(%1);"
" adcx %%rcx, %%r14;"
" movq %%r14, 120(%1);"
/* Line up pointers */
" mov %1, %0;"
" mov %2, %1;"
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
" mov $38, %%rdx;"
" mulxq 32(%0), %%r8, %%r13;"
" xor %%ecx, %%ecx;"
" adoxq 0(%0), %%r8;"
" mulxq 40(%0), %%r9, %%rbx;"
" adcx %%r13, %%r9;"
" adoxq 8(%0), %%r9;"
" mulxq 48(%0), %%r10, %%r13;"
" adcx %%rbx, %%r10;"
" adoxq 16(%0), %%r10;"
" mulxq 56(%0), %%r11, %%rax;"
" adcx %%r13, %%r11;"
" adoxq 24(%0), %%r11;"
" adcx %%rcx, %%rax;"
" adox %%rcx, %%rax;"
" imul %%rdx, %%rax;"
/* Step 2: Fold the carry back into dst */
" add %%rax, %%r8;"
" adcx %%rcx, %%r9;"
" movq %%r9, 8(%1);"
" adcx %%rcx, %%r10;"
" movq %%r10, 16(%1);"
" adcx %%rcx, %%r11;"
" movq %%r11, 24(%1);"
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
" mov $0, %%rax;"
" cmovc %%rdx, %%rax;"
" add %%rax, %%r8;"
" movq %%r8, 0(%1);"
/* Step 1: Compute dst + carry == tmp_hi * 38 + tmp_lo */
" mov $38, %%rdx;"
" mulxq 96(%0), %%r8, %%r13;"
" xor %%ecx, %%ecx;"
" adoxq 64(%0), %%r8;"
" mulxq 104(%0), %%r9, %%rbx;"
" adcx %%r13, %%r9;"
" adoxq 72(%0), %%r9;"
" mulxq 112(%0), %%r10, %%r13;"
" adcx %%rbx, %%r10;"
" adoxq 80(%0), %%r10;"
" mulxq 120(%0), %%r11, %%rax;"
" adcx %%r13, %%r11;"
" adoxq 88(%0), %%r11;"
" adcx %%rcx, %%rax;"
" adox %%rcx, %%rax;"
" imul %%rdx, %%rax;"
/* Step 2: Fold the carry back into dst */
" add %%rax, %%r8;"
" adcx %%rcx, %%r9;"
" movq %%r9, 40(%1);"
" adcx %%rcx, %%r10;"
" movq %%r10, 48(%1);"
" adcx %%rcx, %%r11;"
" movq %%r11, 56(%1);"
/* Step 3: Fold the carry bit back in; guaranteed not to carry at this point */
" mov $0, %%rax;"
" cmovc %%rdx, %%rax;"
" add %%rax, %%r8;"
" movq %%r8, 32(%1);"
: "+&r"(f), "+&r"(tmp)
: "r"(out)
: "%rax", "%rbx", "%rcx", "%rdx", "%r8", "%r9", "%r10", "%r11",
"%r13", "%r14", "%r15", "memory", "cc");
}
static void point_add_and_double(u64 *q, u64 *p01_tmp1, u64 *tmp2)
{
u64 *nq = p01_tmp1;
u64 *nq_p1 = p01_tmp1 + (u32)8U;
u64 *tmp1 = p01_tmp1 + (u32)16U;
u64 *x1 = q;
u64 *x2 = nq;
u64 *z2 = nq + (u32)4U;
u64 *z3 = nq_p1 + (u32)4U;
u64 *a = tmp1;
u64 *b = tmp1 + (u32)4U;
u64 *ab = tmp1;
u64 *dc = tmp1 + (u32)8U;
u64 *x3;
u64 *z31;
u64 *d0;
u64 *c0;
u64 *a1;
u64 *b1;
u64 *d;
u64 *c;
u64 *ab1;
u64 *dc1;
fadd(a, x2, z2);
fsub(b, x2, z2);
x3 = nq_p1;
z31 = nq_p1 + (u32)4U;
d0 = dc;
c0 = dc + (u32)4U;
fadd(c0, x3, z31);
fsub(d0, x3, z31);
fmul2(dc, dc, ab, tmp2);
fadd(x3, d0, c0);
fsub(z31, d0, c0);
a1 = tmp1;
b1 = tmp1 + (u32)4U;
d = tmp1 + (u32)8U;
c = tmp1 + (u32)12U;
ab1 = tmp1;
dc1 = tmp1 + (u32)8U;
fsqr2(dc1, ab1, tmp2);
fsqr2(nq_p1, nq_p1, tmp2);
a1[0U] = c[0U];
a1[1U] = c[1U];
a1[2U] = c[2U];
a1[3U] = c[3U];
fsub(c, d, c);
fmul_scalar(b1, c, (u64)121665U);
fadd(b1, b1, d);
fmul2(nq, dc1, ab1, tmp2);
fmul(z3, z3, x1, tmp2);
}
static void point_double(u64 *nq, u64 *tmp1, u64 *tmp2)
{
u64 *x2 = nq;
u64 *z2 = nq + (u32)4U;
u64 *a = tmp1;
u64 *b = tmp1 + (u32)4U;
u64 *d = tmp1 + (u32)8U;
u64 *c = tmp1 + (u32)12U;
u64 *ab = tmp1;
u64 *dc = tmp1 + (u32)8U;
fadd(a, x2, z2);
fsub(b, x2, z2);
fsqr2(dc, ab, tmp2);
a[0U] = c[0U];
a[1U] = c[1U];
a[2U] = c[2U];
a[3U] = c[3U];
fsub(c, d, c);
fmul_scalar(b, c, (u64)121665U);
fadd(b, b, d);
fmul2(nq, dc, ab, tmp2);
}
static void montgomery_ladder(u64 *out, const u8 *key, u64 *init1)
{
u64 tmp2[16U] = { 0U };
u64 p01_tmp1_swap[33U] = { 0U };
u64 *p0 = p01_tmp1_swap;
u64 *p01 = p01_tmp1_swap;
u64 *p03 = p01;
u64 *p11 = p01 + (u32)8U;
u64 *x0;
u64 *z0;
u64 *p01_tmp1;
u64 *p01_tmp11;
u64 *nq10;
u64 *nq_p11;
u64 *swap1;
u64 sw0;
u64 *nq1;
u64 *tmp1;
memcpy(p11, init1, (u32)8U * sizeof(init1[0U]));
x0 = p03;
z0 = p03 + (u32)4U;
x0[0U] = (u64)1U;
x0[1U] = (u64)0U;
x0[2U] = (u64)0U;
x0[3U] = (u64)0U;
z0[0U] = (u64)0U;
z0[1U] = (u64)0U;
z0[2U] = (u64)0U;
z0[3U] = (u64)0U;
p01_tmp1 = p01_tmp1_swap;
p01_tmp11 = p01_tmp1_swap;
nq10 = p01_tmp1_swap;
nq_p11 = p01_tmp1_swap + (u32)8U;
swap1 = p01_tmp1_swap + (u32)32U;
cswap2((u64)1U, nq10, nq_p11);
point_add_and_double(init1, p01_tmp11, tmp2);
swap1[0U] = (u64)1U;
{
u32 i;
for (i = (u32)0U; i < (u32)251U; i = i + (u32)1U) {
u64 *p01_tmp12 = p01_tmp1_swap;
u64 *swap2 = p01_tmp1_swap + (u32)32U;
u64 *nq2 = p01_tmp12;
u64 *nq_p12 = p01_tmp12 + (u32)8U;
u64 bit = (u64)(key[((u32)253U - i) / (u32)8U] >> ((u32)253U - i) % (u32)8U & (u8)1U);
u64 sw = swap2[0U] ^ bit;
cswap2(sw, nq2, nq_p12);
point_add_and_double(init1, p01_tmp12, tmp2);
swap2[0U] = bit;
}
}
sw0 = swap1[0U];
cswap2(sw0, nq10, nq_p11);
nq1 = p01_tmp1;
tmp1 = p01_tmp1 + (u32)16U;
point_double(nq1, tmp1, tmp2);
point_double(nq1, tmp1, tmp2);
point_double(nq1, tmp1, tmp2);
memcpy(out, p0, (u32)8U * sizeof(p0[0U]));
memzero_explicit(tmp2, sizeof(tmp2));
memzero_explicit(p01_tmp1_swap, sizeof(p01_tmp1_swap));
}
static void fsquare_times(u64 *o, const u64 *inp, u64 *tmp, u32 n1)
{
u32 i;
fsqr(o, inp, tmp);
for (i = (u32)0U; i < n1 - (u32)1U; i = i + (u32)1U)
fsqr(o, o, tmp);
}
static void finv(u64 *o, const u64 *i, u64 *tmp)
{
u64 t1[16U] = { 0U };
u64 *a0 = t1;
u64 *b = t1 + (u32)4U;
u64 *c = t1 + (u32)8U;
u64 *t00 = t1 + (u32)12U;
u64 *tmp1 = tmp;
u64 *a;
u64 *t0;
fsquare_times(a0, i, tmp1, (u32)1U);
fsquare_times(t00, a0, tmp1, (u32)2U);
fmul(b, t00, i, tmp);
fmul(a0, b, a0, tmp);
fsquare_times(t00, a0, tmp1, (u32)1U);
fmul(b, t00, b, tmp);
fsquare_times(t00, b, tmp1, (u32)5U);
fmul(b, t00, b, tmp);
fsquare_times(t00, b, tmp1, (u32)10U);
fmul(c, t00, b, tmp);
fsquare_times(t00, c, tmp1, (u32)20U);
fmul(t00, t00, c, tmp);
fsquare_times(t00, t00, tmp1, (u32)10U);
fmul(b, t00, b, tmp);
fsquare_times(t00, b, tmp1, (u32)50U);
fmul(c, t00, b, tmp);
fsquare_times(t00, c, tmp1, (u32)100U);
fmul(t00, t00, c, tmp);
fsquare_times(t00, t00, tmp1, (u32)50U);
fmul(t00, t00, b, tmp);
fsquare_times(t00, t00, tmp1, (u32)5U);
a = t1;
t0 = t1 + (u32)12U;
fmul(o, t0, a, tmp);
}
static void store_felem(u64 *b, u64 *f)
{
u64 f30 = f[3U];
u64 top_bit0 = f30 >> (u32)63U;
u64 f31;
u64 top_bit;
u64 f0;
u64 f1;
u64 f2;
u64 f3;
u64 m0;
u64 m1;
u64 m2;
u64 m3;
u64 mask;
u64 f0_;
u64 f1_;
u64 f2_;
u64 f3_;
u64 o0;
u64 o1;
u64 o2;
u64 o3;
f[3U] = f30 & (u64)0x7fffffffffffffffU;
add_scalar(f, f, (u64)19U * top_bit0);
f31 = f[3U];
top_bit = f31 >> (u32)63U;
f[3U] = f31 & (u64)0x7fffffffffffffffU;
add_scalar(f, f, (u64)19U * top_bit);
f0 = f[0U];
f1 = f[1U];
f2 = f[2U];
f3 = f[3U];
m0 = gte_mask(f0, (u64)0xffffffffffffffedU);
m1 = eq_mask(f1, (u64)0xffffffffffffffffU);
m2 = eq_mask(f2, (u64)0xffffffffffffffffU);
m3 = eq_mask(f3, (u64)0x7fffffffffffffffU);
mask = ((m0 & m1) & m2) & m3;
f0_ = f0 - (mask & (u64)0xffffffffffffffedU);
f1_ = f1 - (mask & (u64)0xffffffffffffffffU);
f2_ = f2 - (mask & (u64)0xffffffffffffffffU);
f3_ = f3 - (mask & (u64)0x7fffffffffffffffU);
o0 = f0_;
o1 = f1_;
o2 = f2_;
o3 = f3_;
b[0U] = o0;
b[1U] = o1;
b[2U] = o2;
b[3U] = o3;
}
static void encode_point(u8 *o, const u64 *i)
{
const u64 *x = i;
const u64 *z = i + (u32)4U;
u64 tmp[4U] = { 0U };
u64 tmp_w[16U] = { 0U };
finv(tmp, z, tmp_w);
fmul(tmp, tmp, x, tmp_w);
store_felem((u64 *)o, tmp);
}
static void curve25519_ever64(u8 *out, const u8 *priv, const u8 *pub)
{
u64 init1[8U] = { 0U };
u64 tmp[4U] = { 0U };
u64 tmp3;
u64 *x;
u64 *z;
{
u32 i;
for (i = (u32)0U; i < (u32)4U; i = i + (u32)1U) {
u64 *os = tmp;
const u8 *bj = pub + i * (u32)8U;
u64 u = *(u64 *)bj;
u64 r = u;
u64 x0 = r;
os[i] = x0;
}
}
tmp3 = tmp[3U];
tmp[3U] = tmp3 & (u64)0x7fffffffffffffffU;
x = init1;
z = init1 + (u32)4U;
z[0U] = (u64)1U;
z[1U] = (u64)0U;
z[2U] = (u64)0U;
z[3U] = (u64)0U;
x[0U] = tmp[0U];
x[1U] = tmp[1U];
x[2U] = tmp[2U];
x[3U] = tmp[3U];
montgomery_ladder(init1, priv, init1);
encode_point(out, init1);
}
/* The below constants were generated using this sage script:
*
* #!/usr/bin/env sage
* import sys
* from sage.all import *
* def limbs(n):
* n = int(n)
* l = ((n >> 0) % 2^64, (n >> 64) % 2^64, (n >> 128) % 2^64, (n >> 192) % 2^64)
* return "0x%016xULL, 0x%016xULL, 0x%016xULL, 0x%016xULL" % l
* ec = EllipticCurve(GF(2^255 - 19), [0, 486662, 0, 1, 0])
* p_minus_s = (ec.lift_x(9) - ec.lift_x(1))[0]
* print("static const u64 p_minus_s[] = { %s };\n" % limbs(p_minus_s))
* print("static const u64 table_ladder[] = {")
* p = ec.lift_x(9)
* for i in range(252):
* l = (p[0] + p[2]) / (p[0] - p[2])
* print(("\t%s" + ("," if i != 251 else "")) % limbs(l))
* p = p * 2
* print("};")
*
*/
static const u64 p_minus_s[] = { 0x816b1e0137d48290ULL, 0x440f6a51eb4d1207ULL, 0x52385f46dca2b71dULL, 0x215132111d8354cbULL };
static const u64 table_ladder[] = {
0xfffffffffffffff3ULL, 0xffffffffffffffffULL, 0xffffffffffffffffULL, 0x5fffffffffffffffULL,
0x6b8220f416aafe96ULL, 0x82ebeb2b4f566a34ULL, 0xd5a9a5b075a5950fULL, 0x5142b2cf4b2488f4ULL,
0x6aaebc750069680cULL, 0x89cf7820a0f99c41ULL, 0x2a58d9183b56d0f4ULL, 0x4b5aca80e36011a4ULL,
0x329132348c29745dULL, 0xf4a2e616e1642fd7ULL, 0x1e45bb03ff67bc34ULL, 0x306912d0f42a9b4aULL,
0xff886507e6af7154ULL, 0x04f50e13dfeec82fULL, 0xaa512fe82abab5ceULL, 0x174e251a68d5f222ULL,
0xcf96700d82028898ULL, 0x1743e3370a2c02c5ULL, 0x379eec98b4e86eaaULL, 0x0c59888a51e0482eULL,
0xfbcbf1d699b5d189ULL, 0xacaef0d58e9fdc84ULL, 0xc1c20d06231f7614ULL, 0x2938218da274f972ULL,
0xf6af49beff1d7f18ULL, 0xcc541c22387ac9c2ULL, 0x96fcc9ef4015c56bULL, 0x69c1627c690913a9ULL,
0x7a86fd2f4733db0eULL, 0xfdb8c4f29e087de9ULL, 0x095e4b1a8ea2a229ULL, 0x1ad7a7c829b37a79ULL,
0x342d89cad17ea0c0ULL, 0x67bedda6cced2051ULL, 0x19ca31bf2bb42f74ULL, 0x3df7b4c84980acbbULL,
0xa8c6444dc80ad883ULL, 0xb91e440366e3ab85ULL, 0xc215cda00164f6d8ULL, 0x3d867c6ef247e668ULL,
0xc7dd582bcc3e658cULL, 0xfd2c4748ee0e5528ULL, 0xa0fd9b95cc9f4f71ULL, 0x7529d871b0675ddfULL,
0xb8f568b42d3cbd78ULL, 0x1233011b91f3da82ULL, 0x2dce6ccd4a7c3b62ULL, 0x75e7fc8e9e498603ULL,
0x2f4f13f1fcd0b6ecULL, 0xf1a8ca1f29ff7a45ULL, 0xc249c1a72981e29bULL, 0x6ebe0dbb8c83b56aULL,
0x7114fa8d170bb222ULL, 0x65a2dcd5bf93935fULL, 0xbdc41f68b59c979aULL, 0x2f0eef79a2ce9289ULL,
0x42ecbf0c083c37ceULL, 0x2930bc09ec496322ULL, 0xf294b0c19cfeac0dULL, 0x3780aa4bedfabb80ULL,
0x56c17d3e7cead929ULL, 0xe7cb4beb2e5722c5ULL, 0x0ce931732dbfe15aULL, 0x41b883c7621052f8ULL,
0xdbf75ca0c3d25350ULL, 0x2936be086eb1e351ULL, 0xc936e03cb4a9b212ULL, 0x1d45bf82322225aaULL,
0xe81ab1036a024cc5ULL, 0xe212201c304c9a72ULL, 0xc5d73fba6832b1fcULL, 0x20ffdb5a4d839581ULL,
0xa283d367be5d0fadULL, 0x6c2b25ca8b164475ULL, 0x9d4935467caaf22eULL, 0x5166408eee85ff49ULL,
0x3c67baa2fab4e361ULL, 0xb3e433c67ef35cefULL, 0x5259729241159b1cULL, 0x6a621892d5b0ab33ULL,
0x20b74a387555cdcbULL, 0x532aa10e1208923fULL, 0xeaa17b7762281dd1ULL, 0x61ab3443f05c44bfULL,
0x257a6c422324def8ULL, 0x131c6c1017e3cf7fULL, 0x23758739f630a257ULL, 0x295a407a01a78580ULL,
0xf8c443246d5da8d9ULL, 0x19d775450c52fa5dULL, 0x2afcfc92731bf83dULL, 0x7d10c8e81b2b4700ULL,
0xc8e0271f70baa20bULL, 0x993748867ca63957ULL, 0x5412efb3cb7ed4bbULL, 0x3196d36173e62975ULL,
0xde5bcad141c7dffcULL, 0x47cc8cd2b395c848ULL, 0xa34cd942e11af3cbULL, 0x0256dbf2d04ecec2ULL,
0x875ab7e94b0e667fULL, 0xcad4dd83c0850d10ULL, 0x47f12e8f4e72c79fULL, 0x5f1a87bb8c85b19bULL,
0x7ae9d0b6437f51b8ULL, 0x12c7ce5518879065ULL, 0x2ade09fe5cf77aeeULL, 0x23a05a2f7d2c5627ULL,
0x5908e128f17c169aULL, 0xf77498dd8ad0852dULL, 0x74b4c4ceab102f64ULL, 0x183abadd10139845ULL,
0xb165ba8daa92aaacULL, 0xd5c5ef9599386705ULL, 0xbe2f8f0cf8fc40d1ULL, 0x2701e635ee204514ULL,
0x629fa80020156514ULL, 0xf223868764a8c1ceULL, 0x5b894fff0b3f060eULL, 0x60d9944cf708a3faULL,
0xaeea001a1c7a201fULL, 0xebf16a633ee2ce63ULL, 0x6f7709594c7a07e1ULL, 0x79b958150d0208cbULL,
0x24b55e5301d410e7ULL, 0xe3a34edff3fdc84dULL, 0xd88768e4904032d8ULL, 0x131384427b3aaeecULL,
0x8405e51286234f14ULL, 0x14dc4739adb4c529ULL, 0xb8a2b5b250634ffdULL, 0x2fe2a94ad8a7ff93ULL,
0xec5c57efe843faddULL, 0x2843ce40f0bb9918ULL, 0xa4b561d6cf3d6305ULL, 0x743629bde8fb777eULL,
0x343edd46bbaf738fULL, 0xed981828b101a651ULL, 0xa401760b882c797aULL, 0x1fc223e28dc88730ULL,
0x48604e91fc0fba0eULL, 0xb637f78f052c6fa4ULL, 0x91ccac3d09e9239cULL, 0x23f7eed4437a687cULL,
0x5173b1118d9bd800ULL, 0x29d641b63189d4a7ULL, 0xfdbf177988bbc586ULL, 0x2959894fcad81df5ULL,
0xaebc8ef3b4bbc899ULL, 0x4148995ab26992b9ULL, 0x24e20b0134f92cfbULL, 0x40d158894a05dee8ULL,
0x46b00b1185af76f6ULL, 0x26bac77873187a79ULL, 0x3dc0bf95ab8fff5fULL, 0x2a608bd8945524d7ULL,
0x26449588bd446302ULL, 0x7c4bc21c0388439cULL, 0x8e98a4f383bd11b2ULL, 0x26218d7bc9d876b9ULL,
0xe3081542997c178aULL, 0x3c2d29a86fb6606fULL, 0x5c217736fa279374ULL, 0x7dde05734afeb1faULL,
0x3bf10e3906d42babULL, 0xe4f7803e1980649cULL, 0xe6053bf89595bf7aULL, 0x394faf38da245530ULL,
0x7a8efb58896928f4ULL, 0xfbc778e9cc6a113cULL, 0x72670ce330af596fULL, 0x48f222a81d3d6cf7ULL,
0xf01fce410d72caa7ULL, 0x5a20ecc7213b5595ULL, 0x7bc21165c1fa1483ULL, 0x07f89ae31da8a741ULL,
0x05d2c2b4c6830ff9ULL, 0xd43e330fc6316293ULL, 0xa5a5590a96d3a904ULL, 0x705edb91a65333b6ULL,
0x048ee15e0bb9a5f7ULL, 0x3240cfca9e0aaf5dULL, 0x8f4b71ceedc4a40bULL, 0x621c0da3de544a6dULL,
0x92872836a08c4091ULL, 0xce8375b010c91445ULL, 0x8a72eb524f276394ULL, 0x2667fcfa7ec83635ULL,
0x7f4c173345e8752aULL, 0x061b47feee7079a5ULL, 0x25dd9afa9f86ff34ULL, 0x3780cef5425dc89cULL,
0x1a46035a513bb4e9ULL, 0x3e1ef379ac575adaULL, 0xc78c5f1c5fa24b50ULL, 0x321a967634fd9f22ULL,
0x946707b8826e27faULL, 0x3dca84d64c506fd0ULL, 0xc189218075e91436ULL, 0x6d9284169b3b8484ULL,
0x3a67e840383f2ddfULL, 0x33eec9a30c4f9b75ULL, 0x3ec7c86fa783ef47ULL, 0x26ec449fbac9fbc4ULL,
0x5c0f38cba09b9e7dULL, 0x81168cc762a3478cULL, 0x3e23b0d306fc121cULL, 0x5a238aa0a5efdcddULL,
0x1ba26121c4ea43ffULL, 0x36f8c77f7c8832b5ULL, 0x88fbea0b0adcf99aULL, 0x5ca9938ec25bebf9ULL,
0xd5436a5e51fccda0ULL, 0x1dbc4797c2cd893bULL, 0x19346a65d3224a08ULL, 0x0f5034e49b9af466ULL,
0xf23c3967a1e0b96eULL, 0xe58b08fa867a4d88ULL, 0xfb2fabc6a7341679ULL, 0x2a75381eb6026946ULL,
0xc80a3be4c19420acULL, 0x66b1f6c681f2b6dcULL, 0x7cf7036761e93388ULL, 0x25abbbd8a660a4c4ULL,
0x91ea12ba14fd5198ULL, 0x684950fc4a3cffa9ULL, 0xf826842130f5ad28ULL, 0x3ea988f75301a441ULL,
0xc978109a695f8c6fULL, 0x1746eb4a0530c3f3ULL, 0x444d6d77b4459995ULL, 0x75952b8c054e5cc7ULL,
0xa3703f7915f4d6aaULL, 0x66c346202f2647d8ULL, 0xd01469df811d644bULL, 0x77fea47d81a5d71fULL,
0xc5e9529ef57ca381ULL, 0x6eeeb4b9ce2f881aULL, 0xb6e91a28e8009bd6ULL, 0x4b80be3e9afc3fecULL,
0x7e3773c526aed2c5ULL, 0x1b4afcb453c9a49dULL, 0xa920bdd7baffb24dULL, 0x7c54699f122d400eULL,
0xef46c8e14fa94bc8ULL, 0xe0b074ce2952ed5eULL, 0xbea450e1dbd885d5ULL, 0x61b68649320f712cULL,
0x8a485f7309ccbdd1ULL, 0xbd06320d7d4d1a2dULL, 0x25232973322dbef4ULL, 0x445dc4758c17f770ULL,
0xdb0434177cc8933cULL, 0xed6fe82175ea059fULL, 0x1efebefdc053db34ULL, 0x4adbe867c65daf99ULL,
0x3acd71a2a90609dfULL, 0xe5e991856dd04050ULL, 0x1ec69b688157c23cULL, 0x697427f6885cfe4dULL,
0xd7be7b9b65e1a851ULL, 0xa03d28d522c536ddULL, 0x28399d658fd2b645ULL, 0x49e5b7e17c2641e1ULL,
0x6f8c3a98700457a4ULL, 0x5078f0a25ebb6778ULL, 0xd13c3ccbc382960fULL, 0x2e003258a7df84b1ULL,
0x8ad1f39be6296a1cULL, 0xc1eeaa652a5fbfb2ULL, 0x33ee0673fd26f3cbULL, 0x59256173a69d2cccULL,
0x41ea07aa4e18fc41ULL, 0xd9fc19527c87a51eULL, 0xbdaacb805831ca6fULL, 0x445b652dc916694fULL,
0xce92a3a7f2172315ULL, 0x1edc282de11b9964ULL, 0xa1823aafe04c314aULL, 0x790a2d94437cf586ULL,
0x71c447fb93f6e009ULL, 0x8922a56722845276ULL, 0xbf70903b204f5169ULL, 0x2f7a89891ba319feULL,
0x02a08eb577e2140cULL, 0xed9a4ed4427bdcf4ULL, 0x5253ec44e4323cd1ULL, 0x3e88363c14e9355bULL,
0xaa66c14277110b8cULL, 0x1ae0391610a23390ULL, 0x2030bd12c93fc2a2ULL, 0x3ee141579555c7abULL,
0x9214de3a6d6e7d41ULL, 0x3ccdd88607f17efeULL, 0x674f1288f8e11217ULL, 0x5682250f329f93d0ULL,
0x6cf00b136d2e396eULL, 0x6e4cf86f1014debfULL, 0x5930b1b5bfcc4e83ULL, 0x047069b48aba16b6ULL,
0x0d4ce4ab69b20793ULL, 0xb24db91a97d0fb9eULL, 0xcdfa50f54e00d01dULL, 0x221b1085368bddb5ULL,
0xe7e59468b1e3d8d2ULL, 0x53c56563bd122f93ULL, 0xeee8a903e0663f09ULL, 0x61efa662cbbe3d42ULL,
0x2cf8ddddde6eab2aULL, 0x9bf80ad51435f231ULL, 0x5deadacec9f04973ULL, 0x29275b5d41d29b27ULL,
0xcfde0f0895ebf14fULL, 0xb9aab96b054905a7ULL, 0xcae80dd9a1c420fdULL, 0x0a63bf2f1673bbc7ULL,
0x092f6e11958fbc8cULL, 0x672a81e804822fadULL, 0xcac8351560d52517ULL, 0x6f3f7722c8f192f8ULL,
0xf8ba90ccc2e894b7ULL, 0x2c7557a438ff9f0dULL, 0x894d1d855ae52359ULL, 0x68e122157b743d69ULL,
0xd87e5570cfb919f3ULL, 0x3f2cdecd95798db9ULL, 0x2121154710c0a2ceULL, 0x3c66a115246dc5b2ULL,
0xcbedc562294ecb72ULL, 0xba7143c36a280b16ULL, 0x9610c2efd4078b67ULL, 0x6144735d946a4b1eULL,
0x536f111ed75b3350ULL, 0x0211db8c2041d81bULL, 0xf93cb1000e10413cULL, 0x149dfd3c039e8876ULL,
0xd479dde46b63155bULL, 0xb66e15e93c837976ULL, 0xdafde43b1f13e038ULL, 0x5fafda1a2e4b0b35ULL,
0x3600bbdf17197581ULL, 0x3972050bbe3cd2c2ULL, 0x5938906dbdd5be86ULL, 0x34fce5e43f9b860fULL,
0x75a8a4cd42d14d02ULL, 0x828dabc53441df65ULL, 0x33dcabedd2e131d3ULL, 0x3ebad76fb814d25fULL,
0xd4906f566f70e10fULL, 0x5d12f7aa51690f5aULL, 0x45adb16e76cefcf2ULL, 0x01f768aead232999ULL,
0x2b6cc77b6248febdULL, 0x3cd30628ec3aaffdULL, 0xce1c0b80d4ef486aULL, 0x4c3bff2ea6f66c23ULL,
0x3f2ec4094aeaeb5fULL, 0x61b19b286e372ca7ULL, 0x5eefa966de2a701dULL, 0x23b20565de55e3efULL,
0xe301ca5279d58557ULL, 0x07b2d4ce27c2874fULL, 0xa532cd8a9dcf1d67ULL, 0x2a52fee23f2bff56ULL,
0x8624efb37cd8663dULL, 0xbbc7ac20ffbd7594ULL, 0x57b85e9c82d37445ULL, 0x7b3052cb86a6ec66ULL,
0x3482f0ad2525e91eULL, 0x2cb68043d28edca0ULL, 0xaf4f6d052e1b003aULL, 0x185f8c2529781b0aULL,
0xaa41de5bd80ce0d6ULL, 0x9407b2416853e9d6ULL, 0x563ec36e357f4c3aULL, 0x4cc4b8dd0e297bceULL,
0xa2fc1a52ffb8730eULL, 0x1811f16e67058e37ULL, 0x10f9a366cddf4ee1ULL, 0x72f4a0c4a0b9f099ULL,
0x8c16c06f663f4ea7ULL, 0x693b3af74e970fbaULL, 0x2102e7f1d69ec345ULL, 0x0ba53cbc968a8089ULL,
0xca3d9dc7fea15537ULL, 0x4c6824bb51536493ULL, 0xb9886314844006b1ULL, 0x40d2a72ab454cc60ULL,
0x5936a1b712570975ULL, 0x91b9d648debda657ULL, 0x3344094bb64330eaULL, 0x006ba10d12ee51d0ULL,
0x19228468f5de5d58ULL, 0x0eb12f4c38cc05b0ULL, 0xa1039f9dd5601990ULL, 0x4502d4ce4fff0e0bULL,
0xeb2054106837c189ULL, 0xd0f6544c6dd3b93cULL, 0x40727064c416d74fULL, 0x6e15c6114b502ef0ULL,
0x4df2a398cfb1a76bULL, 0x11256c7419f2f6b1ULL, 0x4a497962066e6043ULL, 0x705b3aab41355b44ULL,
0x365ef536d797b1d8ULL, 0x00076bd622ddf0dbULL, 0x3bbf33b0e0575a88ULL, 0x3777aa05c8e4ca4dULL,
0x392745c85578db5fULL, 0x6fda4149dbae5ae2ULL, 0xb1f0b00b8adc9867ULL, 0x09963437d36f1da3ULL,
0x7e824e90a5dc3853ULL, 0xccb5f6641f135cbdULL, 0x6736d86c87ce8fccULL, 0x625f3ce26604249fULL,
0xaf8ac8059502f63fULL, 0x0c05e70a2e351469ULL, 0x35292e9c764b6305ULL, 0x1a394360c7e23ac3ULL,
0xd5c6d53251183264ULL, 0x62065abd43c2b74fULL, 0xb5fbf5d03b973f9bULL, 0x13a3da3661206e5eULL,
0xc6bd5837725d94e5ULL, 0x18e30912205016c5ULL, 0x2088ce1570033c68ULL, 0x7fba1f495c837987ULL,
0x5a8c7423f2f9079dULL, 0x1735157b34023fc5ULL, 0xe4f9b49ad2fab351ULL, 0x6691ff72c878e33cULL,
0x122c2adedc5eff3eULL, 0xf8dd4bf1d8956cf4ULL, 0xeb86205d9e9e5bdaULL, 0x049b92b9d975c743ULL,
0xa5379730b0f6c05aULL, 0x72a0ffacc6f3a553ULL, 0xb0032c34b20dcd6dULL, 0x470e9dbc88d5164aULL,
0xb19cf10ca237c047ULL, 0xb65466711f6c81a2ULL, 0xb3321bd16dd80b43ULL, 0x48c14f600c5fbe8eULL,
0x66451c264aa6c803ULL, 0xb66e3904a4fa7da6ULL, 0xd45f19b0b3128395ULL, 0x31602627c3c9bc10ULL,
0x3120dc4832e4e10dULL, 0xeb20c46756c717f7ULL, 0x00f52e3f67280294ULL, 0x566d4fc14730c509ULL,
0x7e3a5d40fd837206ULL, 0xc1e926dc7159547aULL, 0x216730fba68d6095ULL, 0x22e8c3843f69cea7ULL,
0x33d074e8930e4b2bULL, 0xb6e4350e84d15816ULL, 0x5534c26ad6ba2365ULL, 0x7773c12f89f1f3f3ULL,
0x8cba404da57962aaULL, 0x5b9897a81999ce56ULL, 0x508e862f121692fcULL, 0x3a81907fa093c291ULL,
0x0dded0ff4725a510ULL, 0x10d8cc10673fc503ULL, 0x5b9d151c9f1f4e89ULL, 0x32a5c1d5cb09a44cULL,
0x1e0aa442b90541fbULL, 0x5f85eb7cc1b485dbULL, 0xbee595ce8a9df2e5ULL, 0x25e496c722422236ULL,
0x5edf3c46cd0fe5b9ULL, 0x34e75a7ed2a43388ULL, 0xe488de11d761e352ULL, 0x0e878a01a085545cULL,
0xba493c77e021bb04ULL, 0x2b4d1843c7df899aULL, 0x9ea37a487ae80d67ULL, 0x67a9958011e41794ULL,
0x4b58051a6697b065ULL, 0x47e33f7d8d6ba6d4ULL, 0xbb4da8d483ca46c1ULL, 0x68becaa181c2db0dULL,
0x8d8980e90b989aa5ULL, 0xf95eb14a2c93c99bULL, 0x51c6c7c4796e73a2ULL, 0x6e228363b5efb569ULL,
0xc6bbc0b02dd624c8ULL, 0x777eb47dec8170eeULL, 0x3cde15a004cfafa9ULL, 0x1dc6bc087160bf9bULL,
0x2e07e043eec34002ULL, 0x18e9fc677a68dc7fULL, 0xd8da03188bd15b9aULL, 0x48fbc3bb00568253ULL,
0x57547d4cfb654ce1ULL, 0xd3565b82a058e2adULL, 0xf63eaf0bbf154478ULL, 0x47531ef114dfbb18ULL,
0xe1ec630a4278c587ULL, 0x5507d546ca8e83f3ULL, 0x85e135c63adc0c2bULL, 0x0aa7efa85682844eULL,
0x72691ba8b3e1f615ULL, 0x32b4e9701fbe3ffaULL, 0x97b6d92e39bb7868ULL, 0x2cfe53dea02e39e8ULL,
0x687392cd85cd52b0ULL, 0x27ff66c910e29831ULL, 0x97134556a9832d06ULL, 0x269bb0360a84f8a0ULL,
0x706e55457643f85cULL, 0x3734a48c9b597d1bULL, 0x7aee91e8c6efa472ULL, 0x5cd6abc198a9d9e0ULL,
0x0e04de06cb3ce41aULL, 0xd8c6eb893402e138ULL, 0x904659bb686e3772ULL, 0x7215c371746ba8c8ULL,
0xfd12a97eeae4a2d9ULL, 0x9514b7516394f2c5ULL, 0x266fd5809208f294ULL, 0x5c847085619a26b9ULL,
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0xd7c46dc1a4edb1c9ULL, 0x5514d7b6437fd98aULL, 0x58942f6bb2a1c00bULL, 0x2dffb2ab1d70710eULL,
0xccdfcf2fc18b6d68ULL, 0xa8ebcba8b7806167ULL, 0x980697f95e2937e3ULL, 0x02fbba1cd0126e8cULL
};
static void curve25519_ever64_base(u8 *out, const u8 *priv)
{
u64 swap = 1;
int i, j, k;
u64 tmp[16 + 32 + 4];
u64 *x1 = &tmp[0];
u64 *z1 = &tmp[4];
u64 *x2 = &tmp[8];
u64 *z2 = &tmp[12];
u64 *xz1 = &tmp[0];
u64 *xz2 = &tmp[8];
u64 *a = &tmp[0 + 16];
u64 *b = &tmp[4 + 16];
u64 *c = &tmp[8 + 16];
u64 *ab = &tmp[0 + 16];
u64 *abcd = &tmp[0 + 16];
u64 *ef = &tmp[16 + 16];
u64 *efgh = &tmp[16 + 16];
u64 *key = &tmp[0 + 16 + 32];
memcpy(key, priv, 32);
((u8 *)key)[0] &= 248;
((u8 *)key)[31] = (((u8 *)key)[31] & 127) | 64;
x1[0] = 1, x1[1] = x1[2] = x1[3] = 0;
z1[0] = 1, z1[1] = z1[2] = z1[3] = 0;
z2[0] = 1, z2[1] = z2[2] = z2[3] = 0;
memcpy(x2, p_minus_s, sizeof(p_minus_s));
j = 3;
for (i = 0; i < 4; ++i) {
while (j < (const int[]){ 64, 64, 64, 63 }[i]) {
u64 bit = (key[i] >> j) & 1;
k = (64 * i + j - 3);
swap = swap ^ bit;
cswap2(swap, xz1, xz2);
swap = bit;
fsub(b, x1, z1);
fadd(a, x1, z1);
fmul(c, &table_ladder[4 * k], b, ef);
fsub(b, a, c);
fadd(a, a, c);
fsqr2(ab, ab, efgh);
fmul2(xz1, xz2, ab, efgh);
++j;
}
j = 0;
}
point_double(xz1, abcd, efgh);
point_double(xz1, abcd, efgh);
point_double(xz1, abcd, efgh);
encode_point(out, xz1);
memzero_explicit(tmp, sizeof(tmp));
}
static __ro_after_init DEFINE_STATIC_KEY_FALSE(curve25519_use_bmi2_adx);
void curve25519_arch(u8 mypublic[CURVE25519_KEY_SIZE],
const u8 secret[CURVE25519_KEY_SIZE],
const u8 basepoint[CURVE25519_KEY_SIZE])
{
if (static_branch_likely(&curve25519_use_bmi2_adx))
curve25519_ever64(mypublic, secret, basepoint);
else
curve25519_generic(mypublic, secret, basepoint);
}
EXPORT_SYMBOL(curve25519_arch);
void curve25519_base_arch(u8 pub[CURVE25519_KEY_SIZE],
const u8 secret[CURVE25519_KEY_SIZE])
{
if (static_branch_likely(&curve25519_use_bmi2_adx))
curve25519_ever64_base(pub, secret);
else
curve25519_generic(pub, secret, curve25519_base_point);
}
EXPORT_SYMBOL(curve25519_base_arch);
static int curve25519_set_secret(struct crypto_kpp *tfm, const void *buf,
unsigned int len)
{
u8 *secret = kpp_tfm_ctx(tfm);
if (!len)
curve25519_generate_secret(secret);
else if (len == CURVE25519_KEY_SIZE &&
crypto_memneq(buf, curve25519_null_point, CURVE25519_KEY_SIZE))
memcpy(secret, buf, CURVE25519_KEY_SIZE);
else
return -EINVAL;
return 0;
}
static int curve25519_generate_public_key(struct kpp_request *req)
{
struct crypto_kpp *tfm = crypto_kpp_reqtfm(req);
const u8 *secret = kpp_tfm_ctx(tfm);
u8 buf[CURVE25519_KEY_SIZE];
int copied, nbytes;
if (req->src)
return -EINVAL;
curve25519_base_arch(buf, secret);
/* might want less than we've got */
nbytes = min_t(size_t, CURVE25519_KEY_SIZE, req->dst_len);
copied = sg_copy_from_buffer(req->dst, sg_nents_for_len(req->dst,
nbytes),
buf, nbytes);
if (copied != nbytes)
return -EINVAL;
return 0;
}
static int curve25519_compute_shared_secret(struct kpp_request *req)
{
struct crypto_kpp *tfm = crypto_kpp_reqtfm(req);
const u8 *secret = kpp_tfm_ctx(tfm);
u8 public_key[CURVE25519_KEY_SIZE];
u8 buf[CURVE25519_KEY_SIZE];
int copied, nbytes;
if (!req->src)
return -EINVAL;
copied = sg_copy_to_buffer(req->src,
sg_nents_for_len(req->src,
CURVE25519_KEY_SIZE),
public_key, CURVE25519_KEY_SIZE);
if (copied != CURVE25519_KEY_SIZE)
return -EINVAL;
curve25519_arch(buf, secret, public_key);
/* might want less than we've got */
nbytes = min_t(size_t, CURVE25519_KEY_SIZE, req->dst_len);
copied = sg_copy_from_buffer(req->dst, sg_nents_for_len(req->dst,
nbytes),
buf, nbytes);
if (copied != nbytes)
return -EINVAL;
return 0;
}
static unsigned int curve25519_max_size(struct crypto_kpp *tfm)
{
return CURVE25519_KEY_SIZE;
}
static struct kpp_alg curve25519_alg = {
.base.cra_name = "curve25519",
.base.cra_driver_name = "curve25519-x86",
.base.cra_priority = 200,
.base.cra_module = THIS_MODULE,
.base.cra_ctxsize = CURVE25519_KEY_SIZE,
.set_secret = curve25519_set_secret,
.generate_public_key = curve25519_generate_public_key,
.compute_shared_secret = curve25519_compute_shared_secret,
.max_size = curve25519_max_size,
};
static int __init curve25519_mod_init(void)
{
if (boot_cpu_has(X86_FEATURE_BMI2) && boot_cpu_has(X86_FEATURE_ADX))
static_branch_enable(&curve25519_use_bmi2_adx);
else
return 0;
return IS_REACHABLE(CONFIG_CRYPTO_KPP) ?
crypto_register_kpp(&curve25519_alg) : 0;
}
static void __exit curve25519_mod_exit(void)
{
if (IS_REACHABLE(CONFIG_CRYPTO_KPP) &&
static_branch_likely(&curve25519_use_bmi2_adx))
crypto_unregister_kpp(&curve25519_alg);
}
module_init(curve25519_mod_init);
module_exit(curve25519_mod_exit);
MODULE_ALIAS_CRYPTO("curve25519");
MODULE_ALIAS_CRYPTO("curve25519-x86");
MODULE_LICENSE("GPL v2");
MODULE_AUTHOR("Jason A. Donenfeld <Jason@zx2c4.com>");
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