/* Copyright (c) 2015, Google Inc.
*
* Permission to use, copy, modify, and/or distribute this software for any
* purpose with or without fee is hereby granted, provided that the above
* copyright notice and this permission notice appear in all copies.
*
* THE SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
* WITH REGARD TO THIS SOFTWARE INCLUDING ALL IMPLIED WARRANTIES OF
* MERCHANTABILITY AND FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR ANY
* SPECIAL, DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
* WHATSOEVER RESULTING FROM LOSS OF USE, DATA OR PROFITS, WHETHER IN AN ACTION
* OF CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF OR IN
* CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE. */
/* This code is mostly taken from the ref10 version of Ed25519 in SUPERCOP
* 20141124 (http://bench.cr.yp.to/supercop.html). That code is released as
* public domain but this file has the ISC license just to keep licencing
* simple.
*
* The field functions are shared by Ed25519 and X25519 where possible. */
#include <openssl/curve25519.h>
#include <string.h>
#include "../internal.h"
#include "internal.h"
#if defined(BORINGSSL_X25519_X86_64)
typedef struct { uint64_t v[5]; } fe25519;
/* These functions are defined in asm/x25519-x86_64.S */
void x25519_x86_64_work_cswap(fe25519 *, uint64_t);
void x25519_x86_64_mul(fe25519 *out, const fe25519 *a, const fe25519 *b);
void x25519_x86_64_square(fe25519 *out, const fe25519 *a);
void x25519_x86_64_freeze(fe25519 *);
void x25519_x86_64_ladderstep(fe25519 *work);
static void fe25519_setint(fe25519 *r, unsigned v) {
r->v[0] = v;
r->v[1] = 0;
r->v[2] = 0;
r->v[3] = 0;
r->v[4] = 0;
}
/* Assumes input x being reduced below 2^255 */
static void fe25519_pack(unsigned char r[32], const fe25519 *x) {
fe25519 t;
t = *x;
x25519_x86_64_freeze(&t);
r[0] = (uint8_t)(t.v[0] & 0xff);
r[1] = (uint8_t)((t.v[0] >> 8) & 0xff);
r[2] = (uint8_t)((t.v[0] >> 16) & 0xff);
r[3] = (uint8_t)((t.v[0] >> 24) & 0xff);
r[4] = (uint8_t)((t.v[0] >> 32) & 0xff);
r[5] = (uint8_t)((t.v[0] >> 40) & 0xff);
r[6] = (uint8_t)((t.v[0] >> 48));
r[6] ^= (uint8_t)((t.v[1] << 3) & 0xf8);
r[7] = (uint8_t)((t.v[1] >> 5) & 0xff);
r[8] = (uint8_t)((t.v[1] >> 13) & 0xff);
r[9] = (uint8_t)((t.v[1] >> 21) & 0xff);
r[10] = (uint8_t)((t.v[1] >> 29) & 0xff);
r[11] = (uint8_t)((t.v[1] >> 37) & 0xff);
r[12] = (uint8_t)((t.v[1] >> 45));
r[12] ^= (uint8_t)((t.v[2] << 6) & 0xc0);
r[13] = (uint8_t)((t.v[2] >> 2) & 0xff);
r[14] = (uint8_t)((t.v[2] >> 10) & 0xff);
r[15] = (uint8_t)((t.v[2] >> 18) & 0xff);
r[16] = (uint8_t)((t.v[2] >> 26) & 0xff);
r[17] = (uint8_t)((t.v[2] >> 34) & 0xff);
r[18] = (uint8_t)((t.v[2] >> 42) & 0xff);
r[19] = (uint8_t)((t.v[2] >> 50));
r[19] ^= (uint8_t)((t.v[3] << 1) & 0xfe);
r[20] = (uint8_t)((t.v[3] >> 7) & 0xff);
r[21] = (uint8_t)((t.v[3] >> 15) & 0xff);
r[22] = (uint8_t)((t.v[3] >> 23) & 0xff);
r[23] = (uint8_t)((t.v[3] >> 31) & 0xff);
r[24] = (uint8_t)((t.v[3] >> 39) & 0xff);
r[25] = (uint8_t)((t.v[3] >> 47));
r[25] ^= (uint8_t)((t.v[4] << 4) & 0xf0);
r[26] = (uint8_t)((t.v[4] >> 4) & 0xff);
r[27] = (uint8_t)((t.v[4] >> 12) & 0xff);
r[28] = (uint8_t)((t.v[4] >> 20) & 0xff);
r[29] = (uint8_t)((t.v[4] >> 28) & 0xff);
r[30] = (uint8_t)((t.v[4] >> 36) & 0xff);
r[31] = (uint8_t)((t.v[4] >> 44));
}
static void fe25519_unpack(fe25519 *r, const uint8_t x[32]) {
r->v[0] = x[0];
r->v[0] += (uint64_t)x[1] << 8;
r->v[0] += (uint64_t)x[2] << 16;
r->v[0] += (uint64_t)x[3] << 24;
r->v[0] += (uint64_t)x[4] << 32;
r->v[0] += (uint64_t)x[5] << 40;
r->v[0] += ((uint64_t)x[6] & 7) << 48;
r->v[1] = x[6] >> 3;
r->v[1] += (uint64_t)x[7] << 5;
r->v[1] += (uint64_t)x[8] << 13;
r->v[1] += (uint64_t)x[9] << 21;
r->v[1] += (uint64_t)x[10] << 29;
r->v[1] += (uint64_t)x[11] << 37;
r->v[1] += ((uint64_t)x[12] & 63) << 45;
r->v[2] = x[12] >> 6;
r->v[2] += (uint64_t)x[13] << 2;
r->v[2] += (uint64_t)x[14] << 10;
r->v[2] += (uint64_t)x[15] << 18;
r->v[2] += (uint64_t)x[16] << 26;
r->v[2] += (uint64_t)x[17] << 34;
r->v[2] += (uint64_t)x[18] << 42;
r->v[2] += ((uint64_t)x[19] & 1) << 50;
r->v[3] = x[19] >> 1;
r->v[3] += (uint64_t)x[20] << 7;
r->v[3] += (uint64_t)x[21] << 15;
r->v[3] += (uint64_t)x[22] << 23;
r->v[3] += (uint64_t)x[23] << 31;
r->v[3] += (uint64_t)x[24] << 39;
r->v[3] += ((uint64_t)x[25] & 15) << 47;
r->v[4] = x[25] >> 4;
r->v[4] += (uint64_t)x[26] << 4;
r->v[4] += (uint64_t)x[27] << 12;
r->v[4] += (uint64_t)x[28] << 20;
r->v[4] += (uint64_t)x[29] << 28;
r->v[4] += (uint64_t)x[30] << 36;
r->v[4] += ((uint64_t)x[31] & 127) << 44;
}
static void fe25519_invert(fe25519 *r, const fe25519 *x) {
fe25519 z2;
fe25519 z9;
fe25519 z11;
fe25519 z2_5_0;
fe25519 z2_10_0;
fe25519 z2_20_0;
fe25519 z2_50_0;
fe25519 z2_100_0;
fe25519 t;
int i;
/* 2 */ x25519_x86_64_square(&z2, x);
/* 4 */ x25519_x86_64_square(&t, &z2);
/* 8 */ x25519_x86_64_square(&t, &t);
/* 9 */ x25519_x86_64_mul(&z9, &t, x);
/* 11 */ x25519_x86_64_mul(&z11, &z9, &z2);
/* 22 */ x25519_x86_64_square(&t, &z11);
/* 2^5 - 2^0 = 31 */ x25519_x86_64_mul(&z2_5_0, &t, &z9);
/* 2^6 - 2^1 */ x25519_x86_64_square(&t, &z2_5_0);
/* 2^20 - 2^10 */ for (i = 1; i < 5; i++) { x25519_x86_64_square(&t, &t); }
/* 2^10 - 2^0 */ x25519_x86_64_mul(&z2_10_0, &t, &z2_5_0);
/* 2^11 - 2^1 */ x25519_x86_64_square(&t, &z2_10_0);
/* 2^20 - 2^10 */ for (i = 1; i < 10; i++) { x25519_x86_64_square(&t, &t); }
/* 2^20 - 2^0 */ x25519_x86_64_mul(&z2_20_0, &t, &z2_10_0);
/* 2^21 - 2^1 */ x25519_x86_64_square(&t, &z2_20_0);
/* 2^40 - 2^20 */ for (i = 1; i < 20; i++) { x25519_x86_64_square(&t, &t); }
/* 2^40 - 2^0 */ x25519_x86_64_mul(&t, &t, &z2_20_0);
/* 2^41 - 2^1 */ x25519_x86_64_square(&t, &t);
/* 2^50 - 2^10 */ for (i = 1; i < 10; i++) { x25519_x86_64_square(&t, &t); }
/* 2^50 - 2^0 */ x25519_x86_64_mul(&z2_50_0, &t, &z2_10_0);
/* 2^51 - 2^1 */ x25519_x86_64_square(&t, &z2_50_0);
/* 2^100 - 2^50 */ for (i = 1; i < 50; i++) { x25519_x86_64_square(&t, &t); }
/* 2^100 - 2^0 */ x25519_x86_64_mul(&z2_100_0, &t, &z2_50_0);
/* 2^101 - 2^1 */ x25519_x86_64_square(&t, &z2_100_0);
/* 2^200 - 2^100 */ for (i = 1; i < 100; i++) {
x25519_x86_64_square(&t, &t);
}
/* 2^200 - 2^0 */ x25519_x86_64_mul(&t, &t, &z2_100_0);
/* 2^201 - 2^1 */ x25519_x86_64_square(&t, &t);
/* 2^250 - 2^50 */ for (i = 1; i < 50; i++) { x25519_x86_64_square(&t, &t); }
/* 2^250 - 2^0 */ x25519_x86_64_mul(&t, &t, &z2_50_0);
/* 2^251 - 2^1 */ x25519_x86_64_square(&t, &t);
/* 2^252 - 2^2 */ x25519_x86_64_square(&t, &t);
/* 2^253 - 2^3 */ x25519_x86_64_square(&t, &t);
/* 2^254 - 2^4 */ x25519_x86_64_square(&t, &t);
/* 2^255 - 2^5 */ x25519_x86_64_square(&t, &t);
/* 2^255 - 21 */ x25519_x86_64_mul(r, &t, &z11);
}
static void mladder(fe25519 *xr, fe25519 *zr, const uint8_t s[32]) {
fe25519 work[5];
work[0] = *xr;
fe25519_setint(work + 1, 1);
fe25519_setint(work + 2, 0);
work[3] = *xr;
fe25519_setint(work + 4, 1);
int i, j;
uint8_t prevbit = 0;
j = 6;
for (i = 31; i >= 0; i--) {
while (j >= 0) {
const uint8_t bit = 1 & (s[i] >> j);
const uint64_t swap = bit ^ prevbit;
prevbit = bit;
x25519_x86_64_work_cswap(work + 1, swap);
x25519_x86_64_ladderstep(work);
j -= 1;
}
j = 7;
}
*xr = work[1];
*zr = work[2];
}
void x25519_x86_64(uint8_t out[32], const uint8_t scalar[32],
const uint8_t point[32]) {
uint8_t e[32];
OPENSSL_memcpy(e, scalar, sizeof(e));
e[0] &= 248;
e[31] &= 127;
e[31] |= 64;
fe25519 t;
fe25519 z;
fe25519_unpack(&t, point);
mladder(&t, &z, e);
fe25519_invert(&z, &z);
x25519_x86_64_mul(&t, &t, &z);
fe25519_pack(out, &t);
}
#endif /* BORINGSSL_X25519_X86_64 */