/* * Elliptic curve Diffie-Hellman * * Copyright (C) 2006-2015, ARM Limited, All Rights Reserved * SPDX-License-Identifier: Apache-2.0 * * 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. * * This file is part of mbed TLS (https://tls.mbed.org) */ /* * References: * * SEC1 http://www.secg.org/index.php?action=secg,docs_secg * RFC 4492 */ #if !defined(MBEDTLS_CONFIG_FILE) #include "mbedtls/config.h" #else #include MBEDTLS_CONFIG_FILE #endif #if defined(MBEDTLS_ECDH_C) #include "mbedtls/ecdh.h" #include "mbedtls/platform_util.h" #include /* Parameter validation macros based on platform_util.h */ #define ECDH_VALIDATE_RET( cond ) \ MBEDTLS_INTERNAL_VALIDATE_RET( cond, MBEDTLS_ERR_ECP_BAD_INPUT_DATA ) #define ECDH_VALIDATE( cond ) \ MBEDTLS_INTERNAL_VALIDATE( cond ) #if defined(MBEDTLS_ECDH_LEGACY_CONTEXT) typedef mbedtls_ecdh_context mbedtls_ecdh_context_mbed; #endif #if !defined(MBEDTLS_ECDH_GEN_PUBLIC_ALT) /* * Generate public key (restartable version) * * Note: this internal function relies on its caller preserving the value of * the output parameter 'd' across continuation calls. This would not be * acceptable for a public function but is OK here as we control call sites. */ static int ecdh_gen_public_restartable( mbedtls_ecp_group *grp, mbedtls_mpi *d, mbedtls_ecp_point *Q, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng, mbedtls_ecp_restart_ctx *rs_ctx ) { int ret; ECDH_VALIDATE_RET( grp != NULL ); ECDH_VALIDATE_RET( d != NULL ); ECDH_VALIDATE_RET( Q != NULL ); ECDH_VALIDATE_RET( f_rng != NULL ); /* If multiplication is in progress, we already generated a privkey */ #if defined(MBEDTLS_ECP_RESTARTABLE) if( rs_ctx == NULL || rs_ctx->rsm == NULL ) #endif MBEDTLS_MPI_CHK( mbedtls_ecp_gen_privkey( grp, d, f_rng, p_rng ) ); MBEDTLS_MPI_CHK( mbedtls_ecp_mul_restartable( grp, Q, d, &grp->G, f_rng, p_rng, rs_ctx ) ); cleanup: return( ret ); } /* * Generate public key */ int mbedtls_ecdh_gen_public( mbedtls_ecp_group *grp, mbedtls_mpi *d, mbedtls_ecp_point *Q, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ) { ECDH_VALIDATE_RET( grp != NULL ); ECDH_VALIDATE_RET( d != NULL ); ECDH_VALIDATE_RET( Q != NULL ); ECDH_VALIDATE_RET( f_rng != NULL ); return( ecdh_gen_public_restartable( grp, d, Q, f_rng, p_rng, NULL ) ); } #endif /* !MBEDTLS_ECDH_GEN_PUBLIC_ALT */ #if !defined(MBEDTLS_ECDH_COMPUTE_SHARED_ALT) /* * Compute shared secret (SEC1 3.3.1) */ static int ecdh_compute_shared_restartable( mbedtls_ecp_group *grp, mbedtls_mpi *z, const mbedtls_ecp_point *Q, const mbedtls_mpi *d, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng, mbedtls_ecp_restart_ctx *rs_ctx ) { int ret; mbedtls_ecp_point P; mbedtls_ecp_point_init( &P ); MBEDTLS_MPI_CHK( mbedtls_ecp_mul_restartable( grp, &P, d, Q, f_rng, p_rng, rs_ctx ) ); if( mbedtls_ecp_is_zero( &P ) ) { ret = MBEDTLS_ERR_ECP_BAD_INPUT_DATA; goto cleanup; } MBEDTLS_MPI_CHK( mbedtls_mpi_copy( z, &P.X ) ); cleanup: mbedtls_ecp_point_free( &P ); return( ret ); } /* * Compute shared secret (SEC1 3.3.1) */ int mbedtls_ecdh_compute_shared( mbedtls_ecp_group *grp, mbedtls_mpi *z, const mbedtls_ecp_point *Q, const mbedtls_mpi *d, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ) { ECDH_VALIDATE_RET( grp != NULL ); ECDH_VALIDATE_RET( Q != NULL ); ECDH_VALIDATE_RET( d != NULL ); ECDH_VALIDATE_RET( z != NULL ); return( ecdh_compute_shared_restartable( grp, z, Q, d, f_rng, p_rng, NULL ) ); } #endif /* !MBEDTLS_ECDH_COMPUTE_SHARED_ALT */ static void ecdh_init_internal( mbedtls_ecdh_context_mbed *ctx ) { mbedtls_ecp_group_init( &ctx->grp ); mbedtls_mpi_init( &ctx->d ); mbedtls_ecp_point_init( &ctx->Q ); mbedtls_ecp_point_init( &ctx->Qp ); mbedtls_mpi_init( &ctx->z ); #if defined(MBEDTLS_ECP_RESTARTABLE) mbedtls_ecp_restart_init( &ctx->rs ); #endif } /* * Initialize context */ void mbedtls_ecdh_init( mbedtls_ecdh_context *ctx ) { ECDH_VALIDATE( ctx != NULL ); #if defined(MBEDTLS_ECDH_LEGACY_CONTEXT) ecdh_init_internal( ctx ); mbedtls_ecp_point_init( &ctx->Vi ); mbedtls_ecp_point_init( &ctx->Vf ); mbedtls_mpi_init( &ctx->_d ); #else memset( ctx, 0, sizeof( mbedtls_ecdh_context ) ); ctx->var = MBEDTLS_ECDH_VARIANT_NONE; #endif ctx->point_format = MBEDTLS_ECP_PF_UNCOMPRESSED; #if defined(MBEDTLS_ECP_RESTARTABLE) ctx->restart_enabled = 0; #endif } static int ecdh_setup_internal( mbedtls_ecdh_context_mbed *ctx, mbedtls_ecp_group_id grp_id ) { int ret; ret = mbedtls_ecp_group_load( &ctx->grp, grp_id ); if( ret != 0 ) { return( MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE ); } return( 0 ); } /* * Setup context */ int mbedtls_ecdh_setup( mbedtls_ecdh_context *ctx, mbedtls_ecp_group_id grp_id ) { ECDH_VALIDATE_RET( ctx != NULL ); #if defined(MBEDTLS_ECDH_LEGACY_CONTEXT) return( ecdh_setup_internal( ctx, grp_id ) ); #else switch( grp_id ) { default: ctx->point_format = MBEDTLS_ECP_PF_UNCOMPRESSED; ctx->var = MBEDTLS_ECDH_VARIANT_MBEDTLS_2_0; ctx->grp_id = grp_id; ecdh_init_internal( &ctx->ctx.mbed_ecdh ); return( ecdh_setup_internal( &ctx->ctx.mbed_ecdh, grp_id ) ); } #endif } static void ecdh_free_internal( mbedtls_ecdh_context_mbed *ctx ) { mbedtls_ecp_group_free( &ctx->grp ); mbedtls_mpi_free( &ctx->d ); mbedtls_ecp_point_free( &ctx->Q ); mbedtls_ecp_point_free( &ctx->Qp ); mbedtls_mpi_free( &ctx->z ); #if defined(MBEDTLS_ECP_RESTARTABLE) mbedtls_ecp_restart_free( &ctx->rs ); #endif } #if defined(MBEDTLS_ECP_RESTARTABLE) /* * Enable restartable operations for context */ void mbedtls_ecdh_enable_restart( mbedtls_ecdh_context *ctx ) { ECDH_VALIDATE_RET( ctx != NULL ); ctx->restart_enabled = 1; } #endif /* * Free context */ void mbedtls_ecdh_free( mbedtls_ecdh_context *ctx ) { if( ctx == NULL ) return; #if defined(MBEDTLS_ECDH_LEGACY_CONTEXT) mbedtls_ecp_point_free( &ctx->Vi ); mbedtls_ecp_point_free( &ctx->Vf ); mbedtls_mpi_free( &ctx->_d ); ecdh_free_internal( ctx ); #else switch( ctx->var ) { case MBEDTLS_ECDH_VARIANT_MBEDTLS_2_0: ecdh_free_internal( &ctx->ctx.mbed_ecdh ); break; default: break; } ctx->point_format = MBEDTLS_ECP_PF_UNCOMPRESSED; ctx->var = MBEDTLS_ECDH_VARIANT_NONE; ctx->grp_id = MBEDTLS_ECP_DP_NONE; #endif } static int ecdh_make_params_internal( mbedtls_ecdh_context_mbed *ctx, size_t *olen, int point_format, unsigned char *buf, size_t blen, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng, int restart_enabled ) { int ret; size_t grp_len, pt_len; #if defined(MBEDTLS_ECP_RESTARTABLE) mbedtls_ecp_restart_ctx *rs_ctx = NULL; #endif if( ctx->grp.pbits == 0 ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); #if defined(MBEDTLS_ECP_RESTARTABLE) if( restart_enabled ) rs_ctx = &ctx->rs; #else (void) restart_enabled; #endif #if defined(MBEDTLS_ECP_RESTARTABLE) if( ( ret = ecdh_gen_public_restartable( &ctx->grp, &ctx->d, &ctx->Q, f_rng, p_rng, rs_ctx ) ) != 0 ) return( ret ); #else if( ( ret = mbedtls_ecdh_gen_public( &ctx->grp, &ctx->d, &ctx->Q, f_rng, p_rng ) ) != 0 ) return( ret ); #endif /* MBEDTLS_ECP_RESTARTABLE */ if( ( ret = mbedtls_ecp_tls_write_group( &ctx->grp, &grp_len, buf, blen ) ) != 0 ) return( ret ); buf += grp_len; blen -= grp_len; if( ( ret = mbedtls_ecp_tls_write_point( &ctx->grp, &ctx->Q, point_format, &pt_len, buf, blen ) ) != 0 ) return( ret ); *olen = grp_len + pt_len; return( 0 ); } /* * Setup and write the ServerKeyExhange parameters (RFC 4492) * struct { * ECParameters curve_params; * ECPoint public; * } ServerECDHParams; */ int mbedtls_ecdh_make_params( mbedtls_ecdh_context *ctx, size_t *olen, unsigned char *buf, size_t blen, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ) { int restart_enabled = 0; ECDH_VALIDATE_RET( ctx != NULL ); ECDH_VALIDATE_RET( olen != NULL ); ECDH_VALIDATE_RET( buf != NULL ); ECDH_VALIDATE_RET( f_rng != NULL ); #if defined(MBEDTLS_ECP_RESTARTABLE) restart_enabled = ctx->restart_enabled; #else (void) restart_enabled; #endif #if defined(MBEDTLS_ECDH_LEGACY_CONTEXT) return( ecdh_make_params_internal( ctx, olen, ctx->point_format, buf, blen, f_rng, p_rng, restart_enabled ) ); #else switch( ctx->var ) { case MBEDTLS_ECDH_VARIANT_MBEDTLS_2_0: return( ecdh_make_params_internal( &ctx->ctx.mbed_ecdh, olen, ctx->point_format, buf, blen, f_rng, p_rng, restart_enabled ) ); default: return MBEDTLS_ERR_ECP_BAD_INPUT_DATA; } #endif } static int ecdh_read_params_internal( mbedtls_ecdh_context_mbed *ctx, const unsigned char **buf, const unsigned char *end ) { return( mbedtls_ecp_tls_read_point( &ctx->grp, &ctx->Qp, buf, end - *buf ) ); } /* * Read the ServerKeyExhange parameters (RFC 4492) * struct { * ECParameters curve_params; * ECPoint public; * } ServerECDHParams; */ int mbedtls_ecdh_read_params( mbedtls_ecdh_context *ctx, const unsigned char **buf, const unsigned char *end ) { int ret; mbedtls_ecp_group_id grp_id; ECDH_VALIDATE_RET( ctx != NULL ); ECDH_VALIDATE_RET( buf != NULL ); ECDH_VALIDATE_RET( *buf != NULL ); ECDH_VALIDATE_RET( end != NULL ); if( ( ret = mbedtls_ecp_tls_read_group_id( &grp_id, buf, end - *buf ) ) != 0 ) return( ret ); if( ( ret = mbedtls_ecdh_setup( ctx, grp_id ) ) != 0 ) return( ret ); #if defined(MBEDTLS_ECDH_LEGACY_CONTEXT) return( ecdh_read_params_internal( ctx, buf, end ) ); #else switch( ctx->var ) { case MBEDTLS_ECDH_VARIANT_MBEDTLS_2_0: return( ecdh_read_params_internal( &ctx->ctx.mbed_ecdh, buf, end ) ); default: return MBEDTLS_ERR_ECP_BAD_INPUT_DATA; } #endif } static int ecdh_get_params_internal( mbedtls_ecdh_context_mbed *ctx, const mbedtls_ecp_keypair *key, mbedtls_ecdh_side side ) { int ret; /* If it's not our key, just import the public part as Qp */ if( side == MBEDTLS_ECDH_THEIRS ) return( mbedtls_ecp_copy( &ctx->Qp, &key->Q ) ); /* Our key: import public (as Q) and private parts */ if( side != MBEDTLS_ECDH_OURS ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); if( ( ret = mbedtls_ecp_copy( &ctx->Q, &key->Q ) ) != 0 || ( ret = mbedtls_mpi_copy( &ctx->d, &key->d ) ) != 0 ) return( ret ); return( 0 ); } /* * Get parameters from a keypair */ int mbedtls_ecdh_get_params( mbedtls_ecdh_context *ctx, const mbedtls_ecp_keypair *key, mbedtls_ecdh_side side ) { int ret; ECDH_VALIDATE_RET( ctx != NULL ); ECDH_VALIDATE_RET( key != NULL ); ECDH_VALIDATE_RET( side == MBEDTLS_ECDH_OURS || side == MBEDTLS_ECDH_THEIRS ); if( ( ret = mbedtls_ecdh_setup( ctx, key->grp.id ) ) != 0 ) return( ret ); #if defined(MBEDTLS_ECDH_LEGACY_CONTEXT) return( ecdh_get_params_internal( ctx, key, side ) ); #else switch( ctx->var ) { case MBEDTLS_ECDH_VARIANT_MBEDTLS_2_0: return( ecdh_get_params_internal( &ctx->ctx.mbed_ecdh, key, side ) ); default: return MBEDTLS_ERR_ECP_BAD_INPUT_DATA; } #endif } static int ecdh_make_public_internal( mbedtls_ecdh_context_mbed *ctx, size_t *olen, int point_format, unsigned char *buf, size_t blen, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng, int restart_enabled ) { int ret; #if defined(MBEDTLS_ECP_RESTARTABLE) mbedtls_ecp_restart_ctx *rs_ctx = NULL; #endif if( ctx->grp.pbits == 0 ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); #if defined(MBEDTLS_ECP_RESTARTABLE) if( restart_enabled ) rs_ctx = &ctx->rs; #else (void) restart_enabled; #endif #if defined(MBEDTLS_ECP_RESTARTABLE) if( ( ret = ecdh_gen_public_restartable( &ctx->grp, &ctx->d, &ctx->Q, f_rng, p_rng, rs_ctx ) ) != 0 ) return( ret ); #else if( ( ret = mbedtls_ecdh_gen_public( &ctx->grp, &ctx->d, &ctx->Q, f_rng, p_rng ) ) != 0 ) return( ret ); #endif /* MBEDTLS_ECP_RESTARTABLE */ return mbedtls_ecp_tls_write_point( &ctx->grp, &ctx->Q, point_format, olen, buf, blen ); } /* * Setup and export the client public value */ int mbedtls_ecdh_make_public( mbedtls_ecdh_context *ctx, size_t *olen, unsigned char *buf, size_t blen, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ) { int restart_enabled = 0; ECDH_VALIDATE_RET( ctx != NULL ); ECDH_VALIDATE_RET( olen != NULL ); ECDH_VALIDATE_RET( buf != NULL ); #if defined(MBEDTLS_ECP_RESTARTABLE) restart_enabled = ctx->restart_enabled; #endif #if defined(MBEDTLS_ECDH_LEGACY_CONTEXT) return( ecdh_make_public_internal( ctx, olen, ctx->point_format, buf, blen, f_rng, p_rng, restart_enabled ) ); #else switch( ctx->var ) { case MBEDTLS_ECDH_VARIANT_MBEDTLS_2_0: return( ecdh_make_public_internal( &ctx->ctx.mbed_ecdh, olen, ctx->point_format, buf, blen, f_rng, p_rng, restart_enabled ) ); default: return MBEDTLS_ERR_ECP_BAD_INPUT_DATA; } #endif } static int ecdh_read_public_internal( mbedtls_ecdh_context_mbed *ctx, const unsigned char *buf, size_t blen ) { int ret; const unsigned char *p = buf; if( ( ret = mbedtls_ecp_tls_read_point( &ctx->grp, &ctx->Qp, &p, blen ) ) != 0 ) return( ret ); if( (size_t)( p - buf ) != blen ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); return( 0 ); } /* * Parse and import the client's public value */ int mbedtls_ecdh_read_public( mbedtls_ecdh_context *ctx, const unsigned char *buf, size_t blen ) { ECDH_VALIDATE_RET( ctx != NULL ); ECDH_VALIDATE_RET( buf != NULL ); #if defined(MBEDTLS_ECDH_LEGACY_CONTEXT) return( ecdh_read_public_internal( ctx, buf, blen ) ); #else switch( ctx->var ) { case MBEDTLS_ECDH_VARIANT_MBEDTLS_2_0: return( ecdh_read_public_internal( &ctx->ctx.mbed_ecdh, buf, blen ) ); default: return MBEDTLS_ERR_ECP_BAD_INPUT_DATA; } #endif } static int ecdh_calc_secret_internal( mbedtls_ecdh_context_mbed *ctx, size_t *olen, unsigned char *buf, size_t blen, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng, int restart_enabled ) { int ret; #if defined(MBEDTLS_ECP_RESTARTABLE) mbedtls_ecp_restart_ctx *rs_ctx = NULL; #endif if( ctx == NULL || ctx->grp.pbits == 0 ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); #if defined(MBEDTLS_ECP_RESTARTABLE) if( restart_enabled ) rs_ctx = &ctx->rs; #else (void) restart_enabled; #endif #if defined(MBEDTLS_ECP_RESTARTABLE) if( ( ret = ecdh_compute_shared_restartable( &ctx->grp, &ctx->z, &ctx->Qp, &ctx->d, f_rng, p_rng, rs_ctx ) ) != 0 ) { return( ret ); } #else if( ( ret = mbedtls_ecdh_compute_shared( &ctx->grp, &ctx->z, &ctx->Qp, &ctx->d, f_rng, p_rng ) ) != 0 ) { return( ret ); } #endif /* MBEDTLS_ECP_RESTARTABLE */ if( mbedtls_mpi_size( &ctx->z ) > blen ) return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); *olen = ctx->grp.pbits / 8 + ( ( ctx->grp.pbits % 8 ) != 0 ); return mbedtls_mpi_write_binary( &ctx->z, buf, *olen ); } /* * Derive and export the shared secret */ int mbedtls_ecdh_calc_secret( mbedtls_ecdh_context *ctx, size_t *olen, unsigned char *buf, size_t blen, int (*f_rng)(void *, unsigned char *, size_t), void *p_rng ) { int restart_enabled = 0; ECDH_VALIDATE_RET( ctx != NULL ); ECDH_VALIDATE_RET( olen != NULL ); ECDH_VALIDATE_RET( buf != NULL ); #if defined(MBEDTLS_ECP_RESTARTABLE) restart_enabled = ctx->restart_enabled; #endif #if defined(MBEDTLS_ECDH_LEGACY_CONTEXT) return( ecdh_calc_secret_internal( ctx, olen, buf, blen, f_rng, p_rng, restart_enabled ) ); #else switch( ctx->var ) { case MBEDTLS_ECDH_VARIANT_MBEDTLS_2_0: return( ecdh_calc_secret_internal( &ctx->ctx.mbed_ecdh, olen, buf, blen, f_rng, p_rng, restart_enabled ) ); default: return( MBEDTLS_ERR_ECP_BAD_INPUT_DATA ); } #endif } #endif /* MBEDTLS_ECDH_C */