/* * Copyright 2013 The Android Open Source Project * * 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. * * Neither the name of Google Inc. nor the names of its contributors may * be used to endorse or promote products derived from this software * without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY Google Inc. ``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 Google Inc. 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. */ #ifndef SYSTEM_CORE_INCLUDE_MINCRYPT_LITE_P256_H_ #define SYSTEM_CORE_INCLUDE_MINCRYPT_LITE_P256_H_ // Collection of routines manipulating 256 bit unsigned integers. // Just enough to implement ecdsa-p256 and related algorithms. #include #ifdef __cplusplus extern "C" { #endif #define P256_BITSPERDIGIT 32 #define P256_NDIGITS 8 #define P256_NBYTES 32 typedef int cryptonite_p256_err; typedef uint32_t cryptonite_p256_digit; typedef int32_t cryptonite_p256_sdigit; typedef uint64_t cryptonite_p256_ddigit; typedef int64_t cryptonite_p256_sddigit; // Defining cryptonite_p256_int as struct to leverage struct assigment. typedef struct { cryptonite_p256_digit a[P256_NDIGITS]; } cryptonite_p256_int; extern const cryptonite_p256_int cryptonite_SECP256r1_n; // Curve order extern const cryptonite_p256_int cryptonite_SECP256r1_p; // Curve prime extern const cryptonite_p256_int cryptonite_SECP256r1_b; // Curve param // Initialize a cryptonite_p256_int to zero. void cryptonite_p256_init(cryptonite_p256_int* a); // Clear a cryptonite_p256_int to zero. void cryptonite_p256_clear(cryptonite_p256_int* a); // Return bit. Index 0 is least significant. int cryptonite_p256_get_bit(const cryptonite_p256_int* a, int index); // b := a % MOD void cryptonite_p256_mod( const cryptonite_p256_int* MOD, const cryptonite_p256_int* a, cryptonite_p256_int* b); // c := a * (top_b | b) % MOD void cryptonite_p256_modmul( const cryptonite_p256_int* MOD, const cryptonite_p256_int* a, const cryptonite_p256_digit top_b, const cryptonite_p256_int* b, cryptonite_p256_int* c); // b := 1 / a % MOD // MOD best be SECP256r1_n void cryptonite_p256_modinv( const cryptonite_p256_int* MOD, const cryptonite_p256_int* a, cryptonite_p256_int* b); // b := 1 / a % MOD // MOD best be SECP256r1_n // Faster than cryptonite_p256_modinv() void cryptonite_p256_modinv_vartime( const cryptonite_p256_int* MOD, const cryptonite_p256_int* a, cryptonite_p256_int* b); // b := a << (n % P256_BITSPERDIGIT) // Returns the bits shifted out of most significant digit. cryptonite_p256_digit cryptonite_p256_shl(const cryptonite_p256_int* a, int n, cryptonite_p256_int* b); // b := a >> (n % P256_BITSPERDIGIT) void cryptonite_p256_shr(const cryptonite_p256_int* a, int n, cryptonite_p256_int* b); int cryptonite_p256_is_zero(const cryptonite_p256_int* a); int cryptonite_p256_is_odd(const cryptonite_p256_int* a); int cryptonite_p256_is_even(const cryptonite_p256_int* a); // Returns -1, 0 or 1. int cryptonite_p256_cmp(const cryptonite_p256_int* a, const cryptonite_p256_int *b); // c: = a - b // Returns -1 on borrow. int cryptonite_p256_sub(const cryptonite_p256_int* a, const cryptonite_p256_int* b, cryptonite_p256_int* c); // c := a + b // Returns 1 on carry. int cryptonite_p256_add(const cryptonite_p256_int* a, const cryptonite_p256_int* b, cryptonite_p256_int* c); // c := a + (single digit)b // Returns carry 1 on carry. int cryptonite_p256_add_d(const cryptonite_p256_int* a, cryptonite_p256_digit b, cryptonite_p256_int* c); // ec routines. // {out_x,out_y} := nG void cryptonite_p256_base_point_mul(const cryptonite_p256_int *n, cryptonite_p256_int *out_x, cryptonite_p256_int *out_y); // {out_x,out_y} := n{in_x,in_y} void cryptonite_p256_point_mul(const cryptonite_p256_int *n, const cryptonite_p256_int *in_x, const cryptonite_p256_int *in_y, cryptonite_p256_int *out_x, cryptonite_p256_int *out_y); // {out_x,out_y} := n1G + n2{in_x,in_y} void cryptonite_p256_points_mul_vartime( const cryptonite_p256_int *n1, const cryptonite_p256_int *n2, const cryptonite_p256_int *in_x, const cryptonite_p256_int *in_y, cryptonite_p256_int *out_x, cryptonite_p256_int *out_y); // Return whether point {x,y} is on curve. int cryptonite_p256_is_valid_point(const cryptonite_p256_int* x, const cryptonite_p256_int* y); // Outputs big-endian binary form. No leading zero skips. void cryptonite_p256_to_bin(const cryptonite_p256_int* src, uint8_t dst[P256_NBYTES]); // Reads from big-endian binary form, // thus pre-pad with leading zeros if short. void cryptonite_p256_from_bin(const uint8_t src[P256_NBYTES], cryptonite_p256_int* dst); #define P256_DIGITS(x) ((x)->a) #define P256_DIGIT(x,y) ((x)->a[y]) #define P256_ZERO {{0}} #define P256_ONE {{1}} #ifdef __cplusplus } #endif #endif // SYSTEM_CORE_INCLUDE_MINCRYPT_LITE_P256_H_