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authorLinus Torvalds <torvalds@linux-foundation.org>2017-05-02 16:40:27 -0700
committerLinus Torvalds <torvalds@linux-foundation.org>2017-05-02 16:40:27 -0700
commit8d65b08debc7e62b2c6032d7fe7389d895b92cbc (patch)
tree0c3141b60c3a03cc32742b5750c5e763b9dae489 /net/bluetooth/ecc.c
parent5a0387a8a8efb90ae7fea1e2e5c62de3efa74691 (diff)
parent5d15af6778b8e4ed1fd41b040283af278e7a9a72 (diff)
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Merge git://git.kernel.org/pub/scm/linux/kernel/git/davem/net-next
Pull networking updates from David Millar: "Here are some highlights from the 2065 networking commits that happened this development cycle: 1) XDP support for IXGBE (John Fastabend) and thunderx (Sunil Kowuri) 2) Add a generic XDP driver, so that anyone can test XDP even if they lack a networking device whose driver has explicit XDP support (me). 3) Sparc64 now has an eBPF JIT too (me) 4) Add a BPF program testing framework via BPF_PROG_TEST_RUN (Alexei Starovoitov) 5) Make netfitler network namespace teardown less expensive (Florian Westphal) 6) Add symmetric hashing support to nft_hash (Laura Garcia Liebana) 7) Implement NAPI and GRO in netvsc driver (Stephen Hemminger) 8) Support TC flower offload statistics in mlxsw (Arkadi Sharshevsky) 9) Multiqueue support in stmmac driver (Joao Pinto) 10) Remove TCP timewait recycling, it never really could possibly work well in the real world and timestamp randomization really zaps any hint of usability this feature had (Soheil Hassas Yeganeh) 11) Support level3 vs level4 ECMP route hashing in ipv4 (Nikolay Aleksandrov) 12) Add socket busy poll support to epoll (Sridhar Samudrala) 13) Netlink extended ACK support (Johannes Berg, Pablo Neira Ayuso, and several others) 14) IPSEC hw offload infrastructure (Steffen Klassert)" * git://git.kernel.org/pub/scm/linux/kernel/git/davem/net-next: (2065 commits) tipc: refactor function tipc_sk_recv_stream() tipc: refactor function tipc_sk_recvmsg() net: thunderx: Optimize page recycling for XDP net: thunderx: Support for XDP header adjustment net: thunderx: Add support for XDP_TX net: thunderx: Add support for XDP_DROP net: thunderx: Add basic XDP support net: thunderx: Cleanup receive buffer allocation net: thunderx: Optimize CQE_TX handling net: thunderx: Optimize RBDR descriptor handling net: thunderx: Support for page recycling ipx: call ipxitf_put() in ioctl error path net: sched: add helpers to handle extended actions qed*: Fix issues in the ptp filter config implementation. qede: Fix concurrency issue in PTP Tx path processing. stmmac: Add support for SIMATIC IOT2000 platform net: hns: fix ethtool_get_strings overflow in hns driver tcp: fix wraparound issue in tcp_lp bpf, arm64: fix jit branch offset related to ldimm64 bpf, arm64: implement jiting of BPF_XADD ...
Diffstat (limited to 'net/bluetooth/ecc.c')
-rw-r--r--net/bluetooth/ecc.c816
1 files changed, 0 insertions, 816 deletions
diff --git a/net/bluetooth/ecc.c b/net/bluetooth/ecc.c
deleted file mode 100644
index e1709f8467ac..000000000000
--- a/net/bluetooth/ecc.c
+++ /dev/null
@@ -1,816 +0,0 @@
-/*
- * Copyright (c) 2013, Kenneth MacKay
- * All rights reserved.
- *
- * Redistribution and use in source and binary forms, with or without
- * modification, are permitted provided that the following conditions are
- * met:
- * * Redistributions of source code must retain the above copyright
- * notice, this list of conditions and the following disclaimer.
- * * Redistributions in binary form must reproduce the above copyright
- * notice, this list of conditions and the following disclaimer in the
- * documentation and/or other materials provided with the distribution.
- *
- * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
- * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
- * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
- * A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
- * HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
- * SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
- * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
- * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
- * THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
- * (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
- * OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
- */
-
-#include <linux/random.h>
-
-#include "ecc.h"
-
-/* 256-bit curve */
-#define ECC_BYTES 32
-
-#define MAX_TRIES 16
-
-/* Number of u64's needed */
-#define NUM_ECC_DIGITS (ECC_BYTES / 8)
-
-struct ecc_point {
- u64 x[NUM_ECC_DIGITS];
- u64 y[NUM_ECC_DIGITS];
-};
-
-typedef struct {
- u64 m_low;
- u64 m_high;
-} uint128_t;
-
-#define CURVE_P_32 { 0xFFFFFFFFFFFFFFFFull, 0x00000000FFFFFFFFull, \
- 0x0000000000000000ull, 0xFFFFFFFF00000001ull }
-
-#define CURVE_G_32 { \
- { 0xF4A13945D898C296ull, 0x77037D812DEB33A0ull, \
- 0xF8BCE6E563A440F2ull, 0x6B17D1F2E12C4247ull }, \
- { 0xCBB6406837BF51F5ull, 0x2BCE33576B315ECEull, \
- 0x8EE7EB4A7C0F9E16ull, 0x4FE342E2FE1A7F9Bull } \
-}
-
-#define CURVE_N_32 { 0xF3B9CAC2FC632551ull, 0xBCE6FAADA7179E84ull, \
- 0xFFFFFFFFFFFFFFFFull, 0xFFFFFFFF00000000ull }
-
-static u64 curve_p[NUM_ECC_DIGITS] = CURVE_P_32;
-static struct ecc_point curve_g = CURVE_G_32;
-static u64 curve_n[NUM_ECC_DIGITS] = CURVE_N_32;
-
-static void vli_clear(u64 *vli)
-{
- int i;
-
- for (i = 0; i < NUM_ECC_DIGITS; i++)
- vli[i] = 0;
-}
-
-/* Returns true if vli == 0, false otherwise. */
-static bool vli_is_zero(const u64 *vli)
-{
- int i;
-
- for (i = 0; i < NUM_ECC_DIGITS; i++) {
- if (vli[i])
- return false;
- }
-
- return true;
-}
-
-/* Returns nonzero if bit bit of vli is set. */
-static u64 vli_test_bit(const u64 *vli, unsigned int bit)
-{
- return (vli[bit / 64] & ((u64) 1 << (bit % 64)));
-}
-
-/* Counts the number of 64-bit "digits" in vli. */
-static unsigned int vli_num_digits(const u64 *vli)
-{
- int i;
-
- /* Search from the end until we find a non-zero digit.
- * We do it in reverse because we expect that most digits will
- * be nonzero.
- */
- for (i = NUM_ECC_DIGITS - 1; i >= 0 && vli[i] == 0; i--);
-
- return (i + 1);
-}
-
-/* Counts the number of bits required for vli. */
-static unsigned int vli_num_bits(const u64 *vli)
-{
- unsigned int i, num_digits;
- u64 digit;
-
- num_digits = vli_num_digits(vli);
- if (num_digits == 0)
- return 0;
-
- digit = vli[num_digits - 1];
- for (i = 0; digit; i++)
- digit >>= 1;
-
- return ((num_digits - 1) * 64 + i);
-}
-
-/* Sets dest = src. */
-static void vli_set(u64 *dest, const u64 *src)
-{
- int i;
-
- for (i = 0; i < NUM_ECC_DIGITS; i++)
- dest[i] = src[i];
-}
-
-/* Returns sign of left - right. */
-static int vli_cmp(const u64 *left, const u64 *right)
-{
- int i;
-
- for (i = NUM_ECC_DIGITS - 1; i >= 0; i--) {
- if (left[i] > right[i])
- return 1;
- else if (left[i] < right[i])
- return -1;
- }
-
- return 0;
-}
-
-/* Computes result = in << c, returning carry. Can modify in place
- * (if result == in). 0 < shift < 64.
- */
-static u64 vli_lshift(u64 *result, const u64 *in,
- unsigned int shift)
-{
- u64 carry = 0;
- int i;
-
- for (i = 0; i < NUM_ECC_DIGITS; i++) {
- u64 temp = in[i];
-
- result[i] = (temp << shift) | carry;
- carry = temp >> (64 - shift);
- }
-
- return carry;
-}
-
-/* Computes vli = vli >> 1. */
-static void vli_rshift1(u64 *vli)
-{
- u64 *end = vli;
- u64 carry = 0;
-
- vli += NUM_ECC_DIGITS;
-
- while (vli-- > end) {
- u64 temp = *vli;
- *vli = (temp >> 1) | carry;
- carry = temp << 63;
- }
-}
-
-/* Computes result = left + right, returning carry. Can modify in place. */
-static u64 vli_add(u64 *result, const u64 *left,
- const u64 *right)
-{
- u64 carry = 0;
- int i;
-
- for (i = 0; i < NUM_ECC_DIGITS; i++) {
- u64 sum;
-
- sum = left[i] + right[i] + carry;
- if (sum != left[i])
- carry = (sum < left[i]);
-
- result[i] = sum;
- }
-
- return carry;
-}
-
-/* Computes result = left - right, returning borrow. Can modify in place. */
-static u64 vli_sub(u64 *result, const u64 *left, const u64 *right)
-{
- u64 borrow = 0;
- int i;
-
- for (i = 0; i < NUM_ECC_DIGITS; i++) {
- u64 diff;
-
- diff = left[i] - right[i] - borrow;
- if (diff != left[i])
- borrow = (diff > left[i]);
-
- result[i] = diff;
- }
-
- return borrow;
-}
-
-static uint128_t mul_64_64(u64 left, u64 right)
-{
- u64 a0 = left & 0xffffffffull;
- u64 a1 = left >> 32;
- u64 b0 = right & 0xffffffffull;
- u64 b1 = right >> 32;
- u64 m0 = a0 * b0;
- u64 m1 = a0 * b1;
- u64 m2 = a1 * b0;
- u64 m3 = a1 * b1;
- uint128_t result;
-
- m2 += (m0 >> 32);
- m2 += m1;
-
- /* Overflow */
- if (m2 < m1)
- m3 += 0x100000000ull;
-
- result.m_low = (m0 & 0xffffffffull) | (m2 << 32);
- result.m_high = m3 + (m2 >> 32);
-
- return result;
-}
-
-static uint128_t add_128_128(uint128_t a, uint128_t b)
-{
- uint128_t result;
-
- result.m_low = a.m_low + b.m_low;
- result.m_high = a.m_high + b.m_high + (result.m_low < a.m_low);
-
- return result;
-}
-
-static void vli_mult(u64 *result, const u64 *left, const u64 *right)
-{
- uint128_t r01 = { 0, 0 };
- u64 r2 = 0;
- unsigned int i, k;
-
- /* Compute each digit of result in sequence, maintaining the
- * carries.
- */
- for (k = 0; k < NUM_ECC_DIGITS * 2 - 1; k++) {
- unsigned int min;
-
- if (k < NUM_ECC_DIGITS)
- min = 0;
- else
- min = (k + 1) - NUM_ECC_DIGITS;
-
- for (i = min; i <= k && i < NUM_ECC_DIGITS; i++) {
- uint128_t product;
-
- product = mul_64_64(left[i], right[k - i]);
-
- r01 = add_128_128(r01, product);
- r2 += (r01.m_high < product.m_high);
- }
-
- result[k] = r01.m_low;
- r01.m_low = r01.m_high;
- r01.m_high = r2;
- r2 = 0;
- }
-
- result[NUM_ECC_DIGITS * 2 - 1] = r01.m_low;
-}
-
-static void vli_square(u64 *result, const u64 *left)
-{
- uint128_t r01 = { 0, 0 };
- u64 r2 = 0;
- int i, k;
-
- for (k = 0; k < NUM_ECC_DIGITS * 2 - 1; k++) {
- unsigned int min;
-
- if (k < NUM_ECC_DIGITS)
- min = 0;
- else
- min = (k + 1) - NUM_ECC_DIGITS;
-
- for (i = min; i <= k && i <= k - i; i++) {
- uint128_t product;
-
- product = mul_64_64(left[i], left[k - i]);
-
- if (i < k - i) {
- r2 += product.m_high >> 63;
- product.m_high = (product.m_high << 1) |
- (product.m_low >> 63);
- product.m_low <<= 1;
- }
-
- r01 = add_128_128(r01, product);
- r2 += (r01.m_high < product.m_high);
- }
-
- result[k] = r01.m_low;
- r01.m_low = r01.m_high;
- r01.m_high = r2;
- r2 = 0;
- }
-
- result[NUM_ECC_DIGITS * 2 - 1] = r01.m_low;
-}
-
-/* Computes result = (left + right) % mod.
- * Assumes that left < mod and right < mod, result != mod.
- */
-static void vli_mod_add(u64 *result, const u64 *left, const u64 *right,
- const u64 *mod)
-{
- u64 carry;
-
- carry = vli_add(result, left, right);
-
- /* result > mod (result = mod + remainder), so subtract mod to
- * get remainder.
- */
- if (carry || vli_cmp(result, mod) >= 0)
- vli_sub(result, result, mod);
-}
-
-/* Computes result = (left - right) % mod.
- * Assumes that left < mod and right < mod, result != mod.
- */
-static void vli_mod_sub(u64 *result, const u64 *left, const u64 *right,
- const u64 *mod)
-{
- u64 borrow = vli_sub(result, left, right);
-
- /* In this case, p_result == -diff == (max int) - diff.
- * Since -x % d == d - x, we can get the correct result from
- * result + mod (with overflow).
- */
- if (borrow)
- vli_add(result, result, mod);
-}
-
-/* Computes result = product % curve_p
- from http://www.nsa.gov/ia/_files/nist-routines.pdf */
-static void vli_mmod_fast(u64 *result, const u64 *product)
-{
- u64 tmp[NUM_ECC_DIGITS];
- int carry;
-
- /* t */
- vli_set(result, product);
-
- /* s1 */
- tmp[0] = 0;
- tmp[1] = product[5] & 0xffffffff00000000ull;
- tmp[2] = product[6];
- tmp[3] = product[7];
- carry = vli_lshift(tmp, tmp, 1);
- carry += vli_add(result, result, tmp);
-
- /* s2 */
- tmp[1] = product[6] << 32;
- tmp[2] = (product[6] >> 32) | (product[7] << 32);
- tmp[3] = product[7] >> 32;
- carry += vli_lshift(tmp, tmp, 1);
- carry += vli_add(result, result, tmp);
-
- /* s3 */
- tmp[0] = product[4];
- tmp[1] = product[5] & 0xffffffff;
- tmp[2] = 0;
- tmp[3] = product[7];
- carry += vli_add(result, result, tmp);
-
- /* s4 */
- tmp[0] = (product[4] >> 32) | (product[5] << 32);
- tmp[1] = (product[5] >> 32) | (product[6] & 0xffffffff00000000ull);
- tmp[2] = product[7];
- tmp[3] = (product[6] >> 32) | (product[4] << 32);
- carry += vli_add(result, result, tmp);
-
- /* d1 */
- tmp[0] = (product[5] >> 32) | (product[6] << 32);
- tmp[1] = (product[6] >> 32);
- tmp[2] = 0;
- tmp[3] = (product[4] & 0xffffffff) | (product[5] << 32);
- carry -= vli_sub(result, result, tmp);
-
- /* d2 */
- tmp[0] = product[6];
- tmp[1] = product[7];
- tmp[2] = 0;
- tmp[3] = (product[4] >> 32) | (product[5] & 0xffffffff00000000ull);
- carry -= vli_sub(result, result, tmp);
-
- /* d3 */
- tmp[0] = (product[6] >> 32) | (product[7] << 32);
- tmp[1] = (product[7] >> 32) | (product[4] << 32);
- tmp[2] = (product[4] >> 32) | (product[5] << 32);
- tmp[3] = (product[6] << 32);
- carry -= vli_sub(result, result, tmp);
-
- /* d4 */
- tmp[0] = product[7];
- tmp[1] = product[4] & 0xffffffff00000000ull;
- tmp[2] = product[5];
- tmp[3] = product[6] & 0xffffffff00000000ull;
- carry -= vli_sub(result, result, tmp);
-
- if (carry < 0) {
- do {
- carry += vli_add(result, result, curve_p);
- } while (carry < 0);
- } else {
- while (carry || vli_cmp(curve_p, result) != 1)
- carry -= vli_sub(result, result, curve_p);
- }
-}
-
-/* Computes result = (left * right) % curve_p. */
-static void vli_mod_mult_fast(u64 *result, const u64 *left, const u64 *right)
-{
- u64 product[2 * NUM_ECC_DIGITS];
-
- vli_mult(product, left, right);
- vli_mmod_fast(result, product);
-}
-
-/* Computes result = left^2 % curve_p. */
-static void vli_mod_square_fast(u64 *result, const u64 *left)
-{
- u64 product[2 * NUM_ECC_DIGITS];
-
- vli_square(product, left);
- vli_mmod_fast(result, product);
-}
-
-#define EVEN(vli) (!(vli[0] & 1))
-/* Computes result = (1 / p_input) % mod. All VLIs are the same size.
- * See "From Euclid's GCD to Montgomery Multiplication to the Great Divide"
- * https://labs.oracle.com/techrep/2001/smli_tr-2001-95.pdf
- */
-static void vli_mod_inv(u64 *result, const u64 *input, const u64 *mod)
-{
- u64 a[NUM_ECC_DIGITS], b[NUM_ECC_DIGITS];
- u64 u[NUM_ECC_DIGITS], v[NUM_ECC_DIGITS];
- u64 carry;
- int cmp_result;
-
- if (vli_is_zero(input)) {
- vli_clear(result);
- return;
- }
-
- vli_set(a, input);
- vli_set(b, mod);
- vli_clear(u);
- u[0] = 1;
- vli_clear(v);
-
- while ((cmp_result = vli_cmp(a, b)) != 0) {
- carry = 0;
-
- if (EVEN(a)) {
- vli_rshift1(a);
-
- if (!EVEN(u))
- carry = vli_add(u, u, mod);
-
- vli_rshift1(u);
- if (carry)
- u[NUM_ECC_DIGITS - 1] |= 0x8000000000000000ull;
- } else if (EVEN(b)) {
- vli_rshift1(b);
-
- if (!EVEN(v))
- carry = vli_add(v, v, mod);
-
- vli_rshift1(v);
- if (carry)
- v[NUM_ECC_DIGITS - 1] |= 0x8000000000000000ull;
- } else if (cmp_result > 0) {
- vli_sub(a, a, b);
- vli_rshift1(a);
-
- if (vli_cmp(u, v) < 0)
- vli_add(u, u, mod);
-
- vli_sub(u, u, v);
- if (!EVEN(u))
- carry = vli_add(u, u, mod);
-
- vli_rshift1(u);
- if (carry)
- u[NUM_ECC_DIGITS - 1] |= 0x8000000000000000ull;
- } else {
- vli_sub(b, b, a);
- vli_rshift1(b);
-
- if (vli_cmp(v, u) < 0)
- vli_add(v, v, mod);
-
- vli_sub(v, v, u);
- if (!EVEN(v))
- carry = vli_add(v, v, mod);
-
- vli_rshift1(v);
- if (carry)
- v[NUM_ECC_DIGITS - 1] |= 0x8000000000000000ull;
- }
- }
-
- vli_set(result, u);
-}
-
-/* ------ Point operations ------ */
-
-/* Returns true if p_point is the point at infinity, false otherwise. */
-static bool ecc_point_is_zero(const struct ecc_point *point)
-{
- return (vli_is_zero(point->x) && vli_is_zero(point->y));
-}
-
-/* Point multiplication algorithm using Montgomery's ladder with co-Z
- * coordinates. From http://eprint.iacr.org/2011/338.pdf
- */
-
-/* Double in place */
-static void ecc_point_double_jacobian(u64 *x1, u64 *y1, u64 *z1)
-{
- /* t1 = x, t2 = y, t3 = z */
- u64 t4[NUM_ECC_DIGITS];
- u64 t5[NUM_ECC_DIGITS];
-
- if (vli_is_zero(z1))
- return;
-
- vli_mod_square_fast(t4, y1); /* t4 = y1^2 */
- vli_mod_mult_fast(t5, x1, t4); /* t5 = x1*y1^2 = A */
- vli_mod_square_fast(t4, t4); /* t4 = y1^4 */
- vli_mod_mult_fast(y1, y1, z1); /* t2 = y1*z1 = z3 */
- vli_mod_square_fast(z1, z1); /* t3 = z1^2 */
-
- vli_mod_add(x1, x1, z1, curve_p); /* t1 = x1 + z1^2 */
- vli_mod_add(z1, z1, z1, curve_p); /* t3 = 2*z1^2 */
- vli_mod_sub(z1, x1, z1, curve_p); /* t3 = x1 - z1^2 */
- vli_mod_mult_fast(x1, x1, z1); /* t1 = x1^2 - z1^4 */
-
- vli_mod_add(z1, x1, x1, curve_p); /* t3 = 2*(x1^2 - z1^4) */
- vli_mod_add(x1, x1, z1, curve_p); /* t1 = 3*(x1^2 - z1^4) */
- if (vli_test_bit(x1, 0)) {
- u64 carry = vli_add(x1, x1, curve_p);
- vli_rshift1(x1);
- x1[NUM_ECC_DIGITS - 1] |= carry << 63;
- } else {
- vli_rshift1(x1);
- }
- /* t1 = 3/2*(x1^2 - z1^4) = B */
-
- vli_mod_square_fast(z1, x1); /* t3 = B^2 */
- vli_mod_sub(z1, z1, t5, curve_p); /* t3 = B^2 - A */
- vli_mod_sub(z1, z1, t5, curve_p); /* t3 = B^2 - 2A = x3 */
- vli_mod_sub(t5, t5, z1, curve_p); /* t5 = A - x3 */
- vli_mod_mult_fast(x1, x1, t5); /* t1 = B * (A - x3) */
- vli_mod_sub(t4, x1, t4, curve_p); /* t4 = B * (A - x3) - y1^4 = y3 */
-
- vli_set(x1, z1);
- vli_set(z1, y1);
- vli_set(y1, t4);
-}
-
-/* Modify (x1, y1) => (x1 * z^2, y1 * z^3) */
-static void apply_z(u64 *x1, u64 *y1, u64 *z)
-{
- u64 t1[NUM_ECC_DIGITS];
-
- vli_mod_square_fast(t1, z); /* z^2 */
- vli_mod_mult_fast(x1, x1, t1); /* x1 * z^2 */
- vli_mod_mult_fast(t1, t1, z); /* z^3 */
- vli_mod_mult_fast(y1, y1, t1); /* y1 * z^3 */
-}
-
-/* P = (x1, y1) => 2P, (x2, y2) => P' */
-static void xycz_initial_double(u64 *x1, u64 *y1, u64 *x2, u64 *y2,
- u64 *p_initial_z)
-{
- u64 z[NUM_ECC_DIGITS];
-
- vli_set(x2, x1);
- vli_set(y2, y1);
-
- vli_clear(z);
- z[0] = 1;
-
- if (p_initial_z)
- vli_set(z, p_initial_z);
-
- apply_z(x1, y1, z);
-
- ecc_point_double_jacobian(x1, y1, z);
-
- apply_z(x2, y2, z);
-}
-
-/* Input P = (x1, y1, Z), Q = (x2, y2, Z)
- * Output P' = (x1', y1', Z3), P + Q = (x3, y3, Z3)
- * or P => P', Q => P + Q
- */
-static void xycz_add(u64 *x1, u64 *y1, u64 *x2, u64 *y2)
-{
- /* t1 = X1, t2 = Y1, t3 = X2, t4 = Y2 */
- u64 t5[NUM_ECC_DIGITS];
-
- vli_mod_sub(t5, x2, x1, curve_p); /* t5 = x2 - x1 */
- vli_mod_square_fast(t5, t5); /* t5 = (x2 - x1)^2 = A */
- vli_mod_mult_fast(x1, x1, t5); /* t1 = x1*A = B */
- vli_mod_mult_fast(x2, x2, t5); /* t3 = x2*A = C */
- vli_mod_sub(y2, y2, y1, curve_p); /* t4 = y2 - y1 */
- vli_mod_square_fast(t5, y2); /* t5 = (y2 - y1)^2 = D */
-
- vli_mod_sub(t5, t5, x1, curve_p); /* t5 = D - B */
- vli_mod_sub(t5, t5, x2, curve_p); /* t5 = D - B - C = x3 */
- vli_mod_sub(x2, x2, x1, curve_p); /* t3 = C - B */
- vli_mod_mult_fast(y1, y1, x2); /* t2 = y1*(C - B) */
- vli_mod_sub(x2, x1, t5, curve_p); /* t3 = B - x3 */
- vli_mod_mult_fast(y2, y2, x2); /* t4 = (y2 - y1)*(B - x3) */
- vli_mod_sub(y2, y2, y1, curve_p); /* t4 = y3 */
-
- vli_set(x2, t5);
-}
-
-/* Input P = (x1, y1, Z), Q = (x2, y2, Z)
- * Output P + Q = (x3, y3, Z3), P - Q = (x3', y3', Z3)
- * or P => P - Q, Q => P + Q
- */
-static void xycz_add_c(u64 *x1, u64 *y1, u64 *x2, u64 *y2)
-{
- /* t1 = X1, t2 = Y1, t3 = X2, t4 = Y2 */
- u64 t5[NUM_ECC_DIGITS];
- u64 t6[NUM_ECC_DIGITS];
- u64 t7[NUM_ECC_DIGITS];
-
- vli_mod_sub(t5, x2, x1, curve_p); /* t5 = x2 - x1 */
- vli_mod_square_fast(t5, t5); /* t5 = (x2 - x1)^2 = A */
- vli_mod_mult_fast(x1, x1, t5); /* t1 = x1*A = B */
- vli_mod_mult_fast(x2, x2, t5); /* t3 = x2*A = C */
- vli_mod_add(t5, y2, y1, curve_p); /* t4 = y2 + y1 */
- vli_mod_sub(y2, y2, y1, curve_p); /* t4 = y2 - y1 */
-
- vli_mod_sub(t6, x2, x1, curve_p); /* t6 = C - B */
- vli_mod_mult_fast(y1, y1, t6); /* t2 = y1 * (C - B) */
- vli_mod_add(t6, x1, x2, curve_p); /* t6 = B + C */
- vli_mod_square_fast(x2, y2); /* t3 = (y2 - y1)^2 */
- vli_mod_sub(x2, x2, t6, curve_p); /* t3 = x3 */
-
- vli_mod_sub(t7, x1, x2, curve_p); /* t7 = B - x3 */
- vli_mod_mult_fast(y2, y2, t7); /* t4 = (y2 - y1)*(B - x3) */
- vli_mod_sub(y2, y2, y1, curve_p); /* t4 = y3 */
-
- vli_mod_square_fast(t7, t5); /* t7 = (y2 + y1)^2 = F */
- vli_mod_sub(t7, t7, t6, curve_p); /* t7 = x3' */
- vli_mod_sub(t6, t7, x1, curve_p); /* t6 = x3' - B */
- vli_mod_mult_fast(t6, t6, t5); /* t6 = (y2 + y1)*(x3' - B) */
- vli_mod_sub(y1, t6, y1, curve_p); /* t2 = y3' */
-
- vli_set(x1, t7);
-}
-
-static void ecc_point_mult(struct ecc_point *result,
- const struct ecc_point *point, u64 *scalar,
- u64 *initial_z, int num_bits)
-{
- /* R0 and R1 */
- u64 rx[2][NUM_ECC_DIGITS];
- u64 ry[2][NUM_ECC_DIGITS];
- u64 z[NUM_ECC_DIGITS];
- int i, nb;
-
- vli_set(rx[1], point->x);
- vli_set(ry[1], point->y);
-
- xycz_initial_double(rx[1], ry[1], rx[0], ry[0], initial_z);
-
- for (i = num_bits - 2; i > 0; i--) {
- nb = !vli_test_bit(scalar, i);
- xycz_add_c(rx[1 - nb], ry[1 - nb], rx[nb], ry[nb]);
- xycz_add(rx[nb], ry[nb], rx[1 - nb], ry[1 - nb]);
- }
-
- nb = !vli_test_bit(scalar, 0);
- xycz_add_c(rx[1 - nb], ry[1 - nb], rx[nb], ry[nb]);
-
- /* Find final 1/Z value. */
- vli_mod_sub(z, rx[1], rx[0], curve_p); /* X1 - X0 */
- vli_mod_mult_fast(z, z, ry[1 - nb]); /* Yb * (X1 - X0) */
- vli_mod_mult_fast(z, z, point->x); /* xP * Yb * (X1 - X0) */
- vli_mod_inv(z, z, curve_p); /* 1 / (xP * Yb * (X1 - X0)) */
- vli_mod_mult_fast(z, z, point->y); /* yP / (xP * Yb * (X1 - X0)) */
- vli_mod_mult_fast(z, z, rx[1 - nb]); /* Xb * yP / (xP * Yb * (X1 - X0)) */
- /* End 1/Z calculation */
-
- xycz_add(rx[nb], ry[nb], rx[1 - nb], ry[1 - nb]);
-
- apply_z(rx[0], ry[0], z);
-
- vli_set(result->x, rx[0]);
- vli_set(result->y, ry[0]);
-}
-
-static void ecc_bytes2native(const u8 bytes[ECC_BYTES],
- u64 native[NUM_ECC_DIGITS])
-{
- int i;
-
- for (i = 0; i < NUM_ECC_DIGITS; i++) {
- const u8 *digit = bytes + 8 * (NUM_ECC_DIGITS - 1 - i);
-
- native[NUM_ECC_DIGITS - 1 - i] =
- ((u64) digit[0] << 0) |
- ((u64) digit[1] << 8) |
- ((u64) digit[2] << 16) |
- ((u64) digit[3] << 24) |
- ((u64) digit[4] << 32) |
- ((u64) digit[5] << 40) |
- ((u64) digit[6] << 48) |
- ((u64) digit[7] << 56);
- }
-}
-
-static void ecc_native2bytes(const u64 native[NUM_ECC_DIGITS],
- u8 bytes[ECC_BYTES])
-{
- int i;
-
- for (i = 0; i < NUM_ECC_DIGITS; i++) {
- u8 *digit = bytes + 8 * (NUM_ECC_DIGITS - 1 - i);
-
- digit[0] = native[NUM_ECC_DIGITS - 1 - i] >> 0;
- digit[1] = native[NUM_ECC_DIGITS - 1 - i] >> 8;
- digit[2] = native[NUM_ECC_DIGITS - 1 - i] >> 16;
- digit[3] = native[NUM_ECC_DIGITS - 1 - i] >> 24;
- digit[4] = native[NUM_ECC_DIGITS - 1 - i] >> 32;
- digit[5] = native[NUM_ECC_DIGITS - 1 - i] >> 40;
- digit[6] = native[NUM_ECC_DIGITS - 1 - i] >> 48;
- digit[7] = native[NUM_ECC_DIGITS - 1 - i] >> 56;
- }
-}
-
-bool ecc_make_key(u8 public_key[64], u8 private_key[32])
-{
- struct ecc_point pk;
- u64 priv[NUM_ECC_DIGITS];
- unsigned int tries = 0;
-
- do {
- if (tries++ >= MAX_TRIES)
- return false;
-
- get_random_bytes(priv, ECC_BYTES);
-
- if (vli_is_zero(priv))
- continue;
-
- /* Make sure the private key is in the range [1, n-1]. */
- if (vli_cmp(curve_n, priv) != 1)
- continue;
-
- ecc_point_mult(&pk, &curve_g, priv, NULL, vli_num_bits(priv));
- } while (ecc_point_is_zero(&pk));
-
- ecc_native2bytes(priv, private_key);
- ecc_native2bytes(pk.x, public_key);
- ecc_native2bytes(pk.y, &public_key[32]);
-
- return true;
-}
-
-bool ecdh_shared_secret(const u8 public_key[64], const u8 private_key[32],
- u8 secret[32])
-{
- u64 priv[NUM_ECC_DIGITS];
- u64 rand[NUM_ECC_DIGITS];
- struct ecc_point product, pk;
-
- get_random_bytes(rand, ECC_BYTES);
-
- ecc_bytes2native(public_key, pk.x);
- ecc_bytes2native(&public_key[32], pk.y);
- ecc_bytes2native(private_key, priv);
-
- ecc_point_mult(&product, &pk, priv, rand, vli_num_bits(priv));
-
- ecc_native2bytes(product.x, secret);
-
- return !ecc_point_is_zero(&product);
-}