// Copyright 2015-2018 Espressif Systems (Shanghai) PTE LTD // // Licensed under the Apache License, Version 2.0 (the "License"); // you may not use this file except in compliance with the License. // You may obtain a copy of the License at // http://www.apache.org/licenses/LICENSE-2.0 // // Unless required by applicable law or agreed to in writing, software // distributed under the License is distributed on an "AS IS" BASIS, // WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. // See the License for the specific language governing permissions and // limitations under the License. #ifdef ESP_PLATFORM #include "esp_system.h" #include "mbedtls/bignum.h" #endif #include "utils/includes.h" #include "utils/common.h" #include "crypto/crypto.h" #include "mbedtls/ecp.h" #include "mbedtls/entropy.h" #include "mbedtls/ctr_drbg.h" #define IANA_SECP256R1 19 #ifdef ESP_PLATFORM int crypto_get_random(void *buf, size_t len) { if (!buf) { return -1; } esp_fill_random(buf, len); return 0; } #endif struct crypto_bignum *crypto_bignum_init(void) { mbedtls_mpi *bn = os_zalloc(sizeof(mbedtls_mpi)); if (bn == NULL) { return NULL; } mbedtls_mpi_init(bn); return (struct crypto_bignum *)bn; } struct crypto_bignum *crypto_bignum_init_set(const u8 *buf, size_t len) { int ret = 0; mbedtls_mpi *bn = os_zalloc(sizeof(mbedtls_mpi)); if (bn == NULL) { return NULL; } MBEDTLS_MPI_CHK(mbedtls_mpi_read_binary(bn, buf, len)); return (struct crypto_bignum *) bn; cleanup: os_free(bn); return NULL; } void crypto_bignum_deinit(struct crypto_bignum *n, int clear) { mbedtls_mpi_free((mbedtls_mpi *)n); os_free((mbedtls_mpi *)n); } int crypto_bignum_to_bin(const struct crypto_bignum *a, u8 *buf, size_t buflen, size_t padlen) { int num_bytes, offset; if (padlen > buflen) { return -1; } num_bytes = mbedtls_mpi_size((mbedtls_mpi *) a); if ((size_t) num_bytes > buflen) { return -1; } if (padlen > (size_t) num_bytes) { offset = padlen - num_bytes; } else { offset = 0; } os_memset(buf, 0, offset); mbedtls_mpi_write_binary((mbedtls_mpi *) a, buf + offset, mbedtls_mpi_size((mbedtls_mpi *)a) ); return num_bytes + offset; } int crypto_bignum_add(const struct crypto_bignum *a, const struct crypto_bignum *b, struct crypto_bignum *c) { return mbedtls_mpi_add_mpi((mbedtls_mpi *) c, (const mbedtls_mpi *) a, (const mbedtls_mpi *) b) ? -1 : 0; } int crypto_bignum_mod(const struct crypto_bignum *a, const struct crypto_bignum *b, struct crypto_bignum *c) { return mbedtls_mpi_mod_mpi((mbedtls_mpi *) c, (const mbedtls_mpi *) a, (const mbedtls_mpi *) b) ? -1 : 0; } int crypto_bignum_exptmod(const struct crypto_bignum *a, const struct crypto_bignum *b, const struct crypto_bignum *c, struct crypto_bignum *d) { return mbedtls_mpi_exp_mod((mbedtls_mpi *) d, (const mbedtls_mpi *) a, (const mbedtls_mpi *) b, (const mbedtls_mpi *) c, NULL) ? -1 : 0; } int crypto_bignum_inverse(const struct crypto_bignum *a, const struct crypto_bignum *b, struct crypto_bignum *c) { return mbedtls_mpi_inv_mod((mbedtls_mpi *) c, (const mbedtls_mpi *) a, (const mbedtls_mpi *) b) ? -1 : 0; } int crypto_bignum_sub(const struct crypto_bignum *a, const struct crypto_bignum *b, struct crypto_bignum *c) { return mbedtls_mpi_sub_mpi((mbedtls_mpi *) c, (const mbedtls_mpi *) a, (const mbedtls_mpi *) b) ? -1 : 0; } int crypto_bignum_div(const struct crypto_bignum *a, const struct crypto_bignum *b, struct crypto_bignum *c) { return mbedtls_mpi_div_mpi((mbedtls_mpi *) c, NULL, (const mbedtls_mpi *) a, (const mbedtls_mpi *) b) ? -1 : 0; } int crypto_bignum_mulmod(const struct crypto_bignum *a, const struct crypto_bignum *b, const struct crypto_bignum *c, struct crypto_bignum *d) { int res; #if ALLOW_EVEN_MOD // Must enable this macro if c is even. mbedtls_mpi temp; mbedtls_mpi_init(&temp); res = mbedtls_mpi_mul_mpi(&temp, (const mbedtls_mpi *) a, (const mbedtls_mpi *) b); if (res) { return -1; } res = mbedtls_mpi_mod_mpi((mbedtls_mpi *) d, &temp, (mbedtls_mpi *) c); mbedtls_mpi_free(&temp); #else // Works with odd modulus only, but it is faster with HW acceleration res = esp_mpi_mul_mpi_mod((mbedtls_mpi *) d, (mbedtls_mpi *) a, (mbedtls_mpi *) b, (mbedtls_mpi *) c); #endif return res ? -1 : 0; } int crypto_bignum_cmp(const struct crypto_bignum *a, const struct crypto_bignum *b) { return mbedtls_mpi_cmp_mpi((const mbedtls_mpi *) a, (const mbedtls_mpi *) b); } int crypto_bignum_bits(const struct crypto_bignum *a) { return mbedtls_mpi_bitlen((const mbedtls_mpi *) a); } int crypto_bignum_is_zero(const struct crypto_bignum *a) { return (mbedtls_mpi_cmp_int((const mbedtls_mpi *) a, 0) == 0); } int crypto_bignum_is_one(const struct crypto_bignum *a) { return (mbedtls_mpi_cmp_int((const mbedtls_mpi *) a, 1) == 0); } int crypto_bignum_legendre(const struct crypto_bignum *a, const struct crypto_bignum *p) { mbedtls_mpi exp, tmp; int res = -2, ret; mbedtls_mpi_init(&exp); mbedtls_mpi_init(&tmp); /* exp = (p-1) / 2 */ MBEDTLS_MPI_CHK(mbedtls_mpi_sub_int(&exp, (const mbedtls_mpi *) p, 1)); MBEDTLS_MPI_CHK(mbedtls_mpi_shift_r(&exp, 1)); MBEDTLS_MPI_CHK(mbedtls_mpi_exp_mod(&tmp, (const mbedtls_mpi *) a, &exp, (const mbedtls_mpi *) p, NULL)); if (mbedtls_mpi_cmp_int(&tmp, 1) == 0) { res = 1; } else if (mbedtls_mpi_cmp_int(&tmp, 0) == 0 /* The below check is workaround for the case where HW * does not behave properly for X ^ A mod M when X is * power of M. Instead of returning value 0, value M is * returned.*/ || mbedtls_mpi_cmp_mpi(&tmp, (const mbedtls_mpi *)p) == 0) { res = 0; } else { res = -1; } cleanup: mbedtls_mpi_free(&tmp); mbedtls_mpi_free(&exp); return res; } #ifdef CONFIG_ECC struct crypto_ec { mbedtls_ecp_group group; }; struct crypto_ec *crypto_ec_init(int group) { struct crypto_ec *e; mbedtls_ecp_group_id grp_id; /* IANA registry to mbedtls internal mapping*/ switch (group) { case IANA_SECP256R1: /* For now just support NIST-P256. * This is of type "short Weierstrass". */ grp_id = MBEDTLS_ECP_DP_SECP256R1; break; default: return NULL; } e = os_zalloc(sizeof(*e)); if (e == NULL) { return NULL; } mbedtls_ecp_group_init( &e->group ); if (mbedtls_ecp_group_load(&e->group, grp_id)) { crypto_ec_deinit(e); e = NULL; } return e; } void crypto_ec_deinit(struct crypto_ec *e) { if (e == NULL) { return; } mbedtls_ecp_group_free( &e->group ); os_free(e); } struct crypto_ec_point *crypto_ec_point_init(struct crypto_ec *e) { mbedtls_ecp_point *pt; if (e == NULL) { return NULL; } pt = os_zalloc(sizeof(mbedtls_ecp_point)); if( pt == NULL) { return NULL; } mbedtls_ecp_point_init(pt); return (struct crypto_ec_point *) pt; } size_t crypto_ec_prime_len(struct crypto_ec *e) { return mbedtls_mpi_size(&e->group.P); } size_t crypto_ec_prime_len_bits(struct crypto_ec *e) { return mbedtls_mpi_bitlen(&e->group.P); } const struct crypto_bignum *crypto_ec_get_prime(struct crypto_ec *e) { return (const struct crypto_bignum *) &e->group.P; } const struct crypto_bignum *crypto_ec_get_order(struct crypto_ec *e) { return (const struct crypto_bignum *) &e->group.N; } void crypto_ec_point_deinit(struct crypto_ec_point *p, int clear) { mbedtls_ecp_point_free((mbedtls_ecp_point *) p); os_free(p); } int crypto_ec_point_to_bin(struct crypto_ec *e, const struct crypto_ec_point *point, u8 *x, u8 *y) { int len = mbedtls_mpi_size(&e->group.P); if (x) { if(crypto_bignum_to_bin((struct crypto_bignum *) & ((mbedtls_ecp_point *) point)->X, x, len, len) < 0) { return -1; } } if (y) { if(crypto_bignum_to_bin((struct crypto_bignum *) & ((mbedtls_ecp_point *) point)->Y, y, len, len) < 0) { return -1; } } return 0; } struct crypto_ec_point *crypto_ec_point_from_bin(struct crypto_ec *e, const u8 *val) { mbedtls_ecp_point *pt; int len, ret; if (e == NULL) { return NULL; } len = mbedtls_mpi_size(&e->group.P); pt = os_zalloc(sizeof(mbedtls_ecp_point)); mbedtls_ecp_point_init(pt); MBEDTLS_MPI_CHK(mbedtls_mpi_read_binary(&pt->X, val, len)); MBEDTLS_MPI_CHK(mbedtls_mpi_read_binary(&pt->Y, val + len, len)); MBEDTLS_MPI_CHK(mbedtls_mpi_lset((&pt->Z), 1)); return (struct crypto_ec_point *) pt; cleanup: mbedtls_ecp_point_free(pt); os_free(pt); return NULL; } int crypto_ec_point_add(struct crypto_ec *e, const struct crypto_ec_point *a, const struct crypto_ec_point *b, struct crypto_ec_point *c) { int ret; mbedtls_mpi one; mbedtls_mpi_init(&one); MBEDTLS_MPI_CHK(mbedtls_mpi_lset( &one, 1 )); MBEDTLS_MPI_CHK(mbedtls_ecp_muladd(&e->group, (mbedtls_ecp_point *) c, &one, (const mbedtls_ecp_point *)a , &one, (const mbedtls_ecp_point *)b)); cleanup: mbedtls_mpi_free(&one); return ret ? -1 : 0; } int crypto_ec_point_mul(struct crypto_ec *e, const struct crypto_ec_point *p, const struct crypto_bignum *b, struct crypto_ec_point *res) { int ret; mbedtls_entropy_context entropy; mbedtls_ctr_drbg_context ctr_drbg; mbedtls_entropy_init(&entropy); MBEDTLS_MPI_CHK(mbedtls_ctr_drbg_seed(&ctr_drbg, mbedtls_entropy_func, &entropy, NULL, 0)); MBEDTLS_MPI_CHK(mbedtls_ecp_mul(&e->group, (mbedtls_ecp_point *) res, (const mbedtls_mpi *)b, (const mbedtls_ecp_point *)p, mbedtls_ctr_drbg_random, &ctr_drbg)); cleanup: mbedtls_ctr_drbg_free( &ctr_drbg ); mbedtls_entropy_free( &entropy ); return ret ? -1 : 0; } /* Currently mbedtls does not have any function for inverse * This function calculates inverse of a point. * Set R = -P */ static int ecp_opp( const mbedtls_ecp_group *grp, mbedtls_ecp_point *R, const mbedtls_ecp_point *P) { int ret = 0; /* Copy */ if (R != P) { MBEDTLS_MPI_CHK(mbedtls_ecp_copy(R, P)); } /* In-place opposite */ if (mbedtls_mpi_cmp_int( &R->Y, 0) != 0) { MBEDTLS_MPI_CHK(mbedtls_mpi_sub_mpi(&R->Y, &grp->P, &R->Y)); } cleanup: return ( ret ); } int crypto_ec_point_invert(struct crypto_ec *e, struct crypto_ec_point *p) { return ecp_opp(&e->group, (mbedtls_ecp_point *) p, (mbedtls_ecp_point *) p) ? -1 : 0; } int crypto_ec_point_solve_y_coord(struct crypto_ec *e, struct crypto_ec_point *p, const struct crypto_bignum *x, int y_bit) { mbedtls_mpi temp; mbedtls_mpi *y_sqr, *y; mbedtls_mpi_init(&temp); int ret = 0; y = &((mbedtls_ecp_point *)p)->Y; /* Faster way to find sqrt * Works only with curves having prime p * such that p ≡ 3 (mod 4) * y_ = (y2 ^ ((p+1)/4)) mod p * * if y_bit: y = p-y_ * else y = y_` */ y_sqr = (mbedtls_mpi *) crypto_ec_point_compute_y_sqr(e, x); if (y_sqr) { MBEDTLS_MPI_CHK(mbedtls_mpi_add_int(&temp, &e->group.P, 1)); MBEDTLS_MPI_CHK(mbedtls_mpi_div_int(&temp, NULL, &temp, 4)); MBEDTLS_MPI_CHK(mbedtls_mpi_exp_mod(y, y_sqr, &temp, &e->group.P, NULL)); if (y_bit) { MBEDTLS_MPI_CHK(mbedtls_mpi_sub_mpi(y, &e->group.P, y)); } } else { ret = 1; } cleanup: mbedtls_mpi_free(&temp); mbedtls_mpi_free(y_sqr); os_free(y_sqr); return ret ? -1 : 0; } struct crypto_bignum * crypto_ec_point_compute_y_sqr(struct crypto_ec *e, const struct crypto_bignum *x) { mbedtls_mpi temp, temp2, num; int ret = 0; mbedtls_mpi *y_sqr = os_zalloc(sizeof(mbedtls_mpi)); if (y_sqr == NULL) { return NULL; } mbedtls_mpi_init(&temp); mbedtls_mpi_init(&temp2); mbedtls_mpi_init(&num); mbedtls_mpi_init(y_sqr); /* y^2 = x^3 + ax + b mod P*/ /* mbedtls does not have mod-add or mod-mul apis. * */ /* Calculate x^3 mod P*/ MBEDTLS_MPI_CHK(mbedtls_mpi_lset( &num, 3)); MBEDTLS_MPI_CHK(mbedtls_mpi_exp_mod(&temp, (const mbedtls_mpi *) x, &num, &e->group.P, NULL)); /* Calculate ax mod P*/ MBEDTLS_MPI_CHK(mbedtls_mpi_lset( &num, -3)); MBEDTLS_MPI_CHK(mbedtls_mpi_mul_mpi(&temp2, (const mbedtls_mpi *) x, &num)); MBEDTLS_MPI_CHK(mbedtls_mpi_mod_mpi(&temp2, &temp2, &e->group.P)); /* Calculate ax + b mod P. Note that b is already < P*/ MBEDTLS_MPI_CHK(mbedtls_mpi_add_mpi(&temp2, &temp2, &e->group.B)); MBEDTLS_MPI_CHK(mbedtls_mpi_mod_mpi(&temp2, &temp2, &e->group.P)); /* Calculate x^3 + ax + b mod P*/ MBEDTLS_MPI_CHK(mbedtls_mpi_add_mpi(&temp2, &temp2, &temp)); MBEDTLS_MPI_CHK(mbedtls_mpi_mod_mpi(y_sqr, &temp2, &e->group.P)); cleanup: mbedtls_mpi_free(&temp); mbedtls_mpi_free(&temp2); mbedtls_mpi_free(&num); if (ret) { mbedtls_mpi_free(y_sqr); os_free(y_sqr); return NULL; } else { return (struct crypto_bignum *) y_sqr; } } int crypto_ec_point_is_at_infinity(struct crypto_ec *e, const struct crypto_ec_point *p) { return mbedtls_ecp_is_zero((mbedtls_ecp_point *) p); } int crypto_ec_point_is_on_curve(struct crypto_ec *e, const struct crypto_ec_point *p) { mbedtls_mpi y_sqr_lhs, *y_sqr_rhs = NULL, two; int ret = 0, on_curve = 0; mbedtls_mpi_init(&y_sqr_lhs); mbedtls_mpi_init(&two); /* Calculate y^2 mod P*/ MBEDTLS_MPI_CHK(mbedtls_mpi_lset( &two, 2)); MBEDTLS_MPI_CHK(mbedtls_mpi_exp_mod(&y_sqr_lhs, &((const mbedtls_ecp_point *)p)->Y , &two, &e->group.P, NULL)); y_sqr_rhs = (mbedtls_mpi *) crypto_ec_point_compute_y_sqr(e, (const struct crypto_bignum *) & ((const mbedtls_ecp_point *)p)->X); if (y_sqr_rhs && (mbedtls_mpi_cmp_mpi(y_sqr_rhs, &y_sqr_lhs) == 0)) { on_curve = 1; } cleanup: mbedtls_mpi_free(&y_sqr_lhs); mbedtls_mpi_free(y_sqr_rhs); os_free(y_sqr_rhs); return (ret == 0) && (on_curve == 1); } int crypto_ec_point_cmp(const struct crypto_ec *e, const struct crypto_ec_point *a, const struct crypto_ec_point *b) { return mbedtls_ecp_point_cmp((const mbedtls_ecp_point *) a, (const mbedtls_ecp_point *) b); } #endif /* CONFIG_ECC */