/* BEGIN_HEADER */ #include "mbedtls/ecp.h" #include "ecp_invasive.h" #if defined(MBEDTLS_TEST_HOOKS) && \ ( defined(MBEDTLS_ECP_DP_SECP224R1_ENABLED) || \ defined(MBEDTLS_ECP_DP_SECP256R1_ENABLED) || \ defined(MBEDTLS_ECP_DP_SECP384R1_ENABLED) ) #define HAVE_FIX_NEGATIVE #endif #define ECP_PF_UNKNOWN -1 #define ECP_PT_RESET( x ) \ mbedtls_ecp_point_free( x ); \ mbedtls_ecp_point_init( x ); /* Auxiliary function to compare two mbedtls_ecp_group objects. */ inline static int mbedtls_ecp_group_cmp( mbedtls_ecp_group *grp1, mbedtls_ecp_group *grp2 ) { if( mbedtls_mpi_cmp_mpi( &grp1->P, &grp2->P ) != 0 ) return 1; if( mbedtls_mpi_cmp_mpi( &grp1->A, &grp2->A ) != 0 ) return 1; if( mbedtls_mpi_cmp_mpi( &grp1->B, &grp2->B ) != 0 ) return 1; if( mbedtls_mpi_cmp_mpi( &grp1->N, &grp2->N ) != 0 ) return 1; if( mbedtls_ecp_point_cmp( &grp1->G, &grp2->G ) != 0 ) return 1; if( grp1->id != grp2->id ) return 1; if( grp1->pbits != grp2->pbits ) return 1; if( grp1->nbits != grp2->nbits ) return 1; if( grp1->h != grp2->h ) return 1; if( grp1->modp != grp2->modp ) return 1; if( grp1->t_pre != grp2->t_pre ) return 1; if( grp1->t_post != grp2->t_post ) return 1; if( grp1->t_data != grp2->t_data ) return 1; if( grp1->T_size != grp2->T_size ) return 1; if( grp1->T != grp2->T ) return 1; return 0; } /* END_HEADER */ /* BEGIN_DEPENDENCIES * depends_on:MBEDTLS_ECP_C * END_DEPENDENCIES */ /* BEGIN_CASE depends_on:NOT_DEFINED */ void ecp_invalid_param( ) { mbedtls_ecp_group grp; mbedtls_ecp_point P; int invalid_fmt = 42; size_t olen; unsigned char buf[42] = { 0 }; TEST_EQUAL( MBEDTLS_ERR_ECP_BAD_INPUT_DATA, mbedtls_ecp_point_write_binary( &grp, &P, invalid_fmt, &olen, buf, sizeof( buf ) ) ); TEST_EQUAL( MBEDTLS_ERR_ECP_BAD_INPUT_DATA, mbedtls_ecp_tls_write_point( &grp, &P, invalid_fmt, &olen, buf, sizeof( buf ) ) ); exit: return; } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_curve_info( int id, int tls_id, int size, char * name ) { const mbedtls_ecp_curve_info *by_id, *by_tls, *by_name; by_id = mbedtls_ecp_curve_info_from_grp_id( id ); by_tls = mbedtls_ecp_curve_info_from_tls_id( tls_id ); by_name = mbedtls_ecp_curve_info_from_name( name ); TEST_ASSERT( by_id != NULL ); TEST_ASSERT( by_tls != NULL ); TEST_ASSERT( by_name != NULL ); TEST_ASSERT( by_id == by_tls ); TEST_ASSERT( by_id == by_name ); TEST_ASSERT( by_id->bit_size == size ); TEST_ASSERT( size <= MBEDTLS_ECP_MAX_BITS ); TEST_ASSERT( size <= MBEDTLS_ECP_MAX_BYTES * 8 ); } /* END_CASE */ /* BEGIN_CASE */ void ecp_check_pub( int grp_id, char * x_hex, char * y_hex, char * z_hex, int ret ) { mbedtls_ecp_group grp; mbedtls_ecp_point P; mbedtls_ecp_group_init( &grp ); mbedtls_ecp_point_init( &P ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, grp_id ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &P.X, 16, x_hex ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &P.Y, 16, y_hex ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &P.Z, 16, z_hex ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &P ) == ret ); exit: mbedtls_ecp_group_free( &grp ); mbedtls_ecp_point_free( &P ); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_RESTARTABLE */ void ecp_test_vect_restart( int id, char *dA_str, char *xA_str, char *yA_str, char *dB_str, char *xZ_str, char *yZ_str, int max_ops, int min_restarts, int max_restarts ) { /* * Test for early restart. Based on test vectors like ecp_test_vect(), * but for the sake of simplicity only does half of each side. It's * important to test both base point and random point, though, as memory * management is different in each case. * * Don't try using too precise bounds for restarts as the exact number * will depend on settings such as MBEDTLS_ECP_FIXED_POINT_OPTIM and * MBEDTLS_ECP_WINDOW_SIZE, as well as implementation details that may * change in the future. A factor 2 is a minimum safety margin. * * For reference, with mbed TLS 2.4 and default settings, for P-256: * - Random point mult: ~3250M * - Cold base point mult: ~3300M * - Hot base point mult: ~1100M * With MBEDTLS_ECP_WINDOW_SIZE set to 2 (minimum): * - Random point mult: ~3850M */ mbedtls_ecp_restart_ctx ctx; mbedtls_ecp_group grp; mbedtls_ecp_point R, P; mbedtls_mpi dA, xA, yA, dB, xZ, yZ; int cnt_restarts; int ret; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_restart_init( &ctx ); mbedtls_ecp_group_init( &grp ); mbedtls_ecp_point_init( &R ); mbedtls_ecp_point_init( &P ); mbedtls_mpi_init( &dA ); mbedtls_mpi_init( &xA ); mbedtls_mpi_init( &yA ); mbedtls_mpi_init( &dB ); mbedtls_mpi_init( &xZ ); mbedtls_mpi_init( &yZ ); memset( &rnd_info, 0x00, sizeof( mbedtls_test_rnd_pseudo_info ) ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &dA, 16, dA_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &xA, 16, xA_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &yA, 16, yA_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &dB, 16, dB_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &xZ, 16, xZ_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &yZ, 16, yZ_str ) == 0 ); mbedtls_ecp_set_max_ops( (unsigned) max_ops ); /* Base point case */ cnt_restarts = 0; do { ECP_PT_RESET( &R ); ret = mbedtls_ecp_mul_restartable( &grp, &R, &dA, &grp.G, &mbedtls_test_rnd_pseudo_rand, &rnd_info, &ctx ); } while( ret == MBEDTLS_ERR_ECP_IN_PROGRESS && ++cnt_restarts ); TEST_ASSERT( ret == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.X, &xA ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.Y, &yA ) == 0 ); TEST_ASSERT( cnt_restarts >= min_restarts ); TEST_ASSERT( cnt_restarts <= max_restarts ); /* Non-base point case */ mbedtls_ecp_copy( &P, &R ); cnt_restarts = 0; do { ECP_PT_RESET( &R ); ret = mbedtls_ecp_mul_restartable( &grp, &R, &dB, &P, &mbedtls_test_rnd_pseudo_rand, &rnd_info, &ctx ); } while( ret == MBEDTLS_ERR_ECP_IN_PROGRESS && ++cnt_restarts ); TEST_ASSERT( ret == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.X, &xZ ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.Y, &yZ ) == 0 ); TEST_ASSERT( cnt_restarts >= min_restarts ); TEST_ASSERT( cnt_restarts <= max_restarts ); /* Do we leak memory when aborting an operation? * This test only makes sense when we actually restart */ if( min_restarts > 0 ) { ret = mbedtls_ecp_mul_restartable( &grp, &R, &dB, &P, &mbedtls_test_rnd_pseudo_rand, &rnd_info, &ctx ); TEST_ASSERT( ret == MBEDTLS_ERR_ECP_IN_PROGRESS ); } exit: mbedtls_ecp_restart_free( &ctx ); mbedtls_ecp_group_free( &grp ); mbedtls_ecp_point_free( &R ); mbedtls_ecp_point_free( &P ); mbedtls_mpi_free( &dA ); mbedtls_mpi_free( &xA ); mbedtls_mpi_free( &yA ); mbedtls_mpi_free( &dB ); mbedtls_mpi_free( &xZ ); mbedtls_mpi_free( &yZ ); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_RESTARTABLE */ void ecp_muladd_restart( int id, char *xR_str, char *yR_str, char *u1_str, char *u2_str, char *xQ_str, char *yQ_str, int max_ops, int min_restarts, int max_restarts ) { /* * Compute R = u1 * G + u2 * Q * (test vectors mostly taken from ECDSA intermediate results) * * See comments at the top of ecp_test_vect_restart() */ mbedtls_ecp_restart_ctx ctx; mbedtls_ecp_group grp; mbedtls_ecp_point R, Q; mbedtls_mpi u1, u2, xR, yR; int cnt_restarts; int ret; mbedtls_ecp_restart_init( &ctx ); mbedtls_ecp_group_init( &grp ); mbedtls_ecp_point_init( &R ); mbedtls_ecp_point_init( &Q ); mbedtls_mpi_init( &u1 ); mbedtls_mpi_init( &u2 ); mbedtls_mpi_init( &xR ); mbedtls_mpi_init( &yR ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &u1, 16, u1_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &u2, 16, u2_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &xR, 16, xR_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &yR, 16, yR_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &Q.X, 16, xQ_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &Q.Y, 16, yQ_str ) == 0 ); TEST_ASSERT( mbedtls_mpi_lset( &Q.Z, 1 ) == 0 ); mbedtls_ecp_set_max_ops( (unsigned) max_ops ); cnt_restarts = 0; do { ECP_PT_RESET( &R ); ret = mbedtls_ecp_muladd_restartable( &grp, &R, &u1, &grp.G, &u2, &Q, &ctx ); } while( ret == MBEDTLS_ERR_ECP_IN_PROGRESS && ++cnt_restarts ); TEST_ASSERT( ret == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.X, &xR ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.Y, &yR ) == 0 ); TEST_ASSERT( cnt_restarts >= min_restarts ); TEST_ASSERT( cnt_restarts <= max_restarts ); /* Do we leak memory when aborting an operation? * This test only makes sense when we actually restart */ if( min_restarts > 0 ) { ret = mbedtls_ecp_muladd_restartable( &grp, &R, &u1, &grp.G, &u2, &Q, &ctx ); TEST_ASSERT( ret == MBEDTLS_ERR_ECP_IN_PROGRESS ); } exit: mbedtls_ecp_restart_free( &ctx ); mbedtls_ecp_group_free( &grp ); mbedtls_ecp_point_free( &R ); mbedtls_ecp_point_free( &Q ); mbedtls_mpi_free( &u1 ); mbedtls_mpi_free( &u2 ); mbedtls_mpi_free( &xR ); mbedtls_mpi_free( &yR ); } /* END_CASE */ /* BEGIN_CASE */ void ecp_test_vect( int id, char * dA_str, char * xA_str, char * yA_str, char * dB_str, char * xB_str, char * yB_str, char * xZ_str, char * yZ_str ) { mbedtls_ecp_group grp; mbedtls_ecp_point R; mbedtls_mpi dA, xA, yA, dB, xB, yB, xZ, yZ; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_group_init( &grp ); mbedtls_ecp_point_init( &R ); mbedtls_mpi_init( &dA ); mbedtls_mpi_init( &xA ); mbedtls_mpi_init( &yA ); mbedtls_mpi_init( &dB ); mbedtls_mpi_init( &xB ); mbedtls_mpi_init( &yB ); mbedtls_mpi_init( &xZ ); mbedtls_mpi_init( &yZ ); memset( &rnd_info, 0x00, sizeof( mbedtls_test_rnd_pseudo_info ) ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &grp.G ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &dA, 16, dA_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &xA, 16, xA_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &yA, 16, yA_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &dB, 16, dB_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &xB, 16, xB_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &yB, 16, yB_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &xZ, 16, xZ_str ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &yZ, 16, yZ_str ) == 0 ); TEST_ASSERT( mbedtls_ecp_mul( &grp, &R, &dA, &grp.G, &mbedtls_test_rnd_pseudo_rand, &rnd_info ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.X, &xA ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.Y, &yA ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &R ) == 0 ); TEST_ASSERT( mbedtls_ecp_mul( &grp, &R, &dB, &R, &mbedtls_test_rnd_pseudo_rand, &rnd_info ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.X, &xZ ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.Y, &yZ ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &R ) == 0 ); TEST_ASSERT( mbedtls_ecp_mul( &grp, &R, &dB, &grp.G, &mbedtls_test_rnd_pseudo_rand, &rnd_info ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.X, &xB ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.Y, &yB ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &R ) == 0 ); TEST_ASSERT( mbedtls_ecp_mul( &grp, &R, &dA, &R, &mbedtls_test_rnd_pseudo_rand, &rnd_info ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.X, &xZ ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.Y, &yZ ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &R ) == 0 ); exit: mbedtls_ecp_group_free( &grp ); mbedtls_ecp_point_free( &R ); mbedtls_mpi_free( &dA ); mbedtls_mpi_free( &xA ); mbedtls_mpi_free( &yA ); mbedtls_mpi_free( &dB ); mbedtls_mpi_free( &xB ); mbedtls_mpi_free( &yB ); mbedtls_mpi_free( &xZ ); mbedtls_mpi_free( &yZ ); } /* END_CASE */ /* BEGIN_CASE */ void ecp_test_vec_x( int id, char * dA_hex, char * xA_hex, char * dB_hex, char * xB_hex, char * xS_hex ) { mbedtls_ecp_group grp; mbedtls_ecp_point R; mbedtls_mpi dA, xA, dB, xB, xS; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_group_init( &grp ); mbedtls_ecp_point_init( &R ); mbedtls_mpi_init( &dA ); mbedtls_mpi_init( &xA ); mbedtls_mpi_init( &dB ); mbedtls_mpi_init( &xB ); mbedtls_mpi_init( &xS ); memset( &rnd_info, 0x00, sizeof( mbedtls_test_rnd_pseudo_info ) ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &grp.G ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &dA, 16, dA_hex ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &dB, 16, dB_hex ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &xA, 16, xA_hex ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &xB, 16, xB_hex ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &xS, 16, xS_hex ) == 0 ); TEST_ASSERT( mbedtls_ecp_mul( &grp, &R, &dA, &grp.G, &mbedtls_test_rnd_pseudo_rand, &rnd_info ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &R ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.X, &xA ) == 0 ); TEST_ASSERT( mbedtls_ecp_mul( &grp, &R, &dB, &R, &mbedtls_test_rnd_pseudo_rand, &rnd_info ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &R ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.X, &xS ) == 0 ); TEST_ASSERT( mbedtls_ecp_mul( &grp, &R, &dB, &grp.G, &mbedtls_test_rnd_pseudo_rand, &rnd_info ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &R ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.X, &xB ) == 0 ); TEST_ASSERT( mbedtls_ecp_mul( &grp, &R, &dA, &R, &mbedtls_test_rnd_pseudo_rand, &rnd_info ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &R ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &R.X, &xS ) == 0 ); exit: mbedtls_ecp_group_free( &grp ); mbedtls_ecp_point_free( &R ); mbedtls_mpi_free( &dA ); mbedtls_mpi_free( &xA ); mbedtls_mpi_free( &dB ); mbedtls_mpi_free( &xB ); mbedtls_mpi_free( &xS ); } /* END_CASE */ /* BEGIN_CASE */ void ecp_test_mul( int id, data_t * n_hex, data_t * Px_hex, data_t * Py_hex, data_t * Pz_hex, data_t * nPx_hex, data_t * nPy_hex, data_t * nPz_hex, int expected_ret ) { mbedtls_ecp_group grp; mbedtls_ecp_point P, nP, R; mbedtls_mpi n; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_group_init( &grp ); mbedtls_ecp_point_init( &R ); mbedtls_ecp_point_init( &P ); mbedtls_ecp_point_init( &nP ); mbedtls_mpi_init( &n ); memset( &rnd_info, 0x00, sizeof( mbedtls_test_rnd_pseudo_info ) ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &grp.G ) == 0 ); TEST_ASSERT( mbedtls_mpi_read_binary( &n, n_hex->x, n_hex->len ) == 0 ); TEST_ASSERT( mbedtls_mpi_read_binary( &P.X, Px_hex->x, Px_hex->len ) == 0 ); TEST_ASSERT( mbedtls_mpi_read_binary( &P.Y, Py_hex->x, Py_hex->len ) == 0 ); TEST_ASSERT( mbedtls_mpi_read_binary( &P.Z, Pz_hex->x, Pz_hex->len ) == 0 ); TEST_ASSERT( mbedtls_mpi_read_binary( &nP.X, nPx_hex->x, nPx_hex->len ) == 0 ); TEST_ASSERT( mbedtls_mpi_read_binary( &nP.Y, nPy_hex->x, nPy_hex->len ) == 0 ); TEST_ASSERT( mbedtls_mpi_read_binary( &nP.Z, nPz_hex->x, nPz_hex->len ) == 0 ); TEST_ASSERT( mbedtls_ecp_mul( &grp, &R, &n, &P, &mbedtls_test_rnd_pseudo_rand, &rnd_info ) == expected_ret ); if( expected_ret == 0 ) { TEST_ASSERT( mbedtls_mpi_cmp_mpi( &nP.X, &R.X ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &nP.Y, &R.Y ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &nP.Z, &R.Z ) == 0 ); } exit: mbedtls_ecp_group_free( &grp ); mbedtls_ecp_point_free( &R ); mbedtls_ecp_point_free( &P ); mbedtls_ecp_point_free( &nP ); mbedtls_mpi_free( &n ); } /* END_CASE */ /* BEGIN_CASE */ void ecp_test_mul_rng( int id, data_t * d_hex) { mbedtls_ecp_group grp; mbedtls_mpi d; mbedtls_ecp_point Q; mbedtls_ecp_group_init( &grp ); mbedtls_mpi_init( &d ); mbedtls_ecp_point_init( &Q ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &grp.G ) == 0 ); TEST_ASSERT( mbedtls_mpi_read_binary( &d, d_hex->x, d_hex->len ) == 0 ); TEST_ASSERT( mbedtls_ecp_mul( &grp, &Q, &d, &grp.G, &mbedtls_test_rnd_zero_rand, NULL ) == MBEDTLS_ERR_ECP_RANDOM_FAILED ); exit: mbedtls_ecp_group_free( &grp ); mbedtls_mpi_free( &d ); mbedtls_ecp_point_free( &Q ); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */ void ecp_muladd( int id, data_t *u1_bin, data_t *P1_bin, data_t *u2_bin, data_t *P2_bin, data_t *expected_result ) { /* Compute R = u1 * P1 + u2 * P2 */ mbedtls_ecp_group grp; mbedtls_ecp_point P1, P2, R; mbedtls_mpi u1, u2; uint8_t actual_result[MBEDTLS_ECP_MAX_PT_LEN]; size_t len; mbedtls_ecp_group_init( &grp ); mbedtls_ecp_point_init( &P1 ); mbedtls_ecp_point_init( &P2 ); mbedtls_ecp_point_init( &R ); mbedtls_mpi_init( &u1 ); mbedtls_mpi_init( &u2 ); TEST_EQUAL( 0, mbedtls_ecp_group_load( &grp, id ) ); TEST_EQUAL( 0, mbedtls_mpi_read_binary( &u1, u1_bin->x, u1_bin->len ) ); TEST_EQUAL( 0, mbedtls_mpi_read_binary( &u2, u2_bin->x, u2_bin->len ) ); TEST_EQUAL( 0, mbedtls_ecp_point_read_binary( &grp, &P1, P1_bin->x, P1_bin->len ) ); TEST_EQUAL( 0, mbedtls_ecp_point_read_binary( &grp, &P2, P2_bin->x, P2_bin->len ) ); TEST_EQUAL( 0, mbedtls_ecp_muladd( &grp, &R, &u1, &P1, &u2, &P2 ) ); TEST_EQUAL( 0, mbedtls_ecp_point_write_binary( &grp, &R, MBEDTLS_ECP_PF_UNCOMPRESSED, &len, actual_result, sizeof( actual_result ) ) ); TEST_ASSERT( len <= MBEDTLS_ECP_MAX_PT_LEN ); ASSERT_COMPARE( expected_result->x, expected_result->len, actual_result, len ); exit: mbedtls_ecp_group_free( &grp ); mbedtls_ecp_point_free( &P1 ); mbedtls_ecp_point_free( &P2 ); mbedtls_ecp_point_free( &R ); mbedtls_mpi_free( &u1 ); mbedtls_mpi_free( &u2 ); } /* END_CASE */ /* BEGIN_CASE */ void ecp_fast_mod( int id, char * N_str ) { mbedtls_ecp_group grp; mbedtls_mpi N, R; mbedtls_mpi_init( &N ); mbedtls_mpi_init( &R ); mbedtls_ecp_group_init( &grp ); TEST_ASSERT( mbedtls_test_read_mpi( &N, 16, N_str ) == 0 ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); TEST_ASSERT( grp.modp != NULL ); /* * Store correct result before we touch N */ TEST_ASSERT( mbedtls_mpi_mod_mpi( &R, &N, &grp.P ) == 0 ); TEST_ASSERT( grp.modp( &N ) == 0 ); TEST_ASSERT( mbedtls_mpi_bitlen( &N ) <= grp.pbits + 3 ); /* * Use mod rather than addition/subtraction in case previous test fails */ TEST_ASSERT( mbedtls_mpi_mod_mpi( &N, &N, &grp.P ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &N, &R ) == 0 ); exit: mbedtls_mpi_free( &N ); mbedtls_mpi_free( &R ); mbedtls_ecp_group_free( &grp ); } /* END_CASE */ /* BEGIN_CASE */ void ecp_write_binary( int id, char * x, char * y, char * z, int format, data_t * out, int blen, int ret ) { mbedtls_ecp_group grp; mbedtls_ecp_point P; unsigned char buf[256]; size_t olen; memset( buf, 0, sizeof( buf ) ); mbedtls_ecp_group_init( &grp ); mbedtls_ecp_point_init( &P ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &P.X, 16, x ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &P.Y, 16, y ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &P.Z, 16, z ) == 0 ); TEST_ASSERT( mbedtls_ecp_point_write_binary( &grp, &P, format, &olen, buf, blen ) == ret ); if( ret == 0 ) { TEST_ASSERT( olen <= MBEDTLS_ECP_MAX_PT_LEN ); TEST_ASSERT( mbedtls_test_hexcmp( buf, out->x, olen, out->len ) == 0 ); } exit: mbedtls_ecp_group_free( &grp ); mbedtls_ecp_point_free( &P ); } /* END_CASE */ /* BEGIN_CASE */ void ecp_read_binary( int id, data_t * buf, char * x, char * y, char * z, int ret ) { mbedtls_ecp_group grp; mbedtls_ecp_point P; mbedtls_mpi X, Y, Z; mbedtls_ecp_group_init( &grp ); mbedtls_ecp_point_init( &P ); mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &Z ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &X, 16, x ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &Y, 16, y ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &Z, 16, z ) == 0 ); TEST_ASSERT( mbedtls_ecp_point_read_binary( &grp, &P, buf->x, buf->len ) == ret ); if( ret == 0 ) { TEST_ASSERT( mbedtls_mpi_cmp_mpi( &P.X, &X ) == 0 ); if( mbedtls_ecp_get_type( &grp ) == MBEDTLS_ECP_TYPE_MONTGOMERY ) { TEST_ASSERT( mbedtls_mpi_cmp_int( &Y, 0 ) == 0 ); TEST_ASSERT( P.Y.p == NULL ); TEST_ASSERT( mbedtls_mpi_cmp_int( &Z, 1 ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_int( &P.Z, 1 ) == 0 ); } else { TEST_ASSERT( mbedtls_mpi_cmp_mpi( &P.Y, &Y ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &P.Z, &Z ) == 0 ); } } exit: mbedtls_ecp_group_free( &grp ); mbedtls_ecp_point_free( &P ); mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &Z ); } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_tls_read_point( int id, data_t * buf, char * x, char * y, char * z, int ret ) { mbedtls_ecp_group grp; mbedtls_ecp_point P; mbedtls_mpi X, Y, Z; const unsigned char *vbuf = buf->x; mbedtls_ecp_group_init( &grp ); mbedtls_ecp_point_init( &P ); mbedtls_mpi_init( &X ); mbedtls_mpi_init( &Y ); mbedtls_mpi_init( &Z ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &X, 16, x ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &Y, 16, y ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &Z, 16, z ) == 0 ); TEST_ASSERT( mbedtls_ecp_tls_read_point( &grp, &P, &vbuf, buf->len ) == ret ); if( ret == 0 ) { TEST_ASSERT( mbedtls_mpi_cmp_mpi( &P.X, &X ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &P.Y, &Y ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &P.Z, &Z ) == 0 ); TEST_ASSERT( (uint32_t)( vbuf - buf->x ) == buf->len ); } exit: mbedtls_ecp_group_free( &grp ); mbedtls_ecp_point_free( &P ); mbedtls_mpi_free( &X ); mbedtls_mpi_free( &Y ); mbedtls_mpi_free( &Z ); } /* END_CASE */ /* BEGIN_CASE */ void ecp_tls_write_read_point( int id ) { mbedtls_ecp_group grp; mbedtls_ecp_point pt; unsigned char buf[256]; const unsigned char *vbuf; size_t olen; mbedtls_ecp_group_init( &grp ); mbedtls_ecp_point_init( &pt ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); memset( buf, 0x00, sizeof( buf ) ); vbuf = buf; TEST_ASSERT( mbedtls_ecp_tls_write_point( &grp, &grp.G, MBEDTLS_ECP_PF_COMPRESSED, &olen, buf, 256 ) == 0 ); TEST_ASSERT( mbedtls_ecp_tls_read_point( &grp, &pt, &vbuf, olen ) == MBEDTLS_ERR_ECP_FEATURE_UNAVAILABLE ); TEST_ASSERT( vbuf == buf + olen ); memset( buf, 0x00, sizeof( buf ) ); vbuf = buf; TEST_ASSERT( mbedtls_ecp_tls_write_point( &grp, &grp.G, MBEDTLS_ECP_PF_UNCOMPRESSED, &olen, buf, 256 ) == 0 ); TEST_ASSERT( mbedtls_ecp_tls_read_point( &grp, &pt, &vbuf, olen ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &grp.G.X, &pt.X ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &grp.G.Y, &pt.Y ) == 0 ); TEST_ASSERT( mbedtls_mpi_cmp_mpi( &grp.G.Z, &pt.Z ) == 0 ); TEST_ASSERT( vbuf == buf + olen ); memset( buf, 0x00, sizeof( buf ) ); vbuf = buf; TEST_ASSERT( mbedtls_ecp_set_zero( &pt ) == 0 ); TEST_ASSERT( mbedtls_ecp_tls_write_point( &grp, &pt, MBEDTLS_ECP_PF_COMPRESSED, &olen, buf, 256 ) == 0 ); TEST_ASSERT( mbedtls_ecp_tls_read_point( &grp, &pt, &vbuf, olen ) == 0 ); TEST_ASSERT( mbedtls_ecp_is_zero( &pt ) ); TEST_ASSERT( vbuf == buf + olen ); memset( buf, 0x00, sizeof( buf ) ); vbuf = buf; TEST_ASSERT( mbedtls_ecp_set_zero( &pt ) == 0 ); TEST_ASSERT( mbedtls_ecp_tls_write_point( &grp, &pt, MBEDTLS_ECP_PF_UNCOMPRESSED, &olen, buf, 256 ) == 0 ); TEST_ASSERT( mbedtls_ecp_tls_read_point( &grp, &pt, &vbuf, olen ) == 0 ); TEST_ASSERT( mbedtls_ecp_is_zero( &pt ) ); TEST_ASSERT( vbuf == buf + olen ); exit: mbedtls_ecp_group_free( &grp ); mbedtls_ecp_point_free( &pt ); } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_tls_read_group( data_t * buf, int result, int bits, int record_len ) { mbedtls_ecp_group grp; const unsigned char *vbuf = buf->x; int ret; mbedtls_ecp_group_init( &grp ); ret = mbedtls_ecp_tls_read_group( &grp, &vbuf, buf->len ); TEST_ASSERT( ret == result ); if( ret == 0) { TEST_ASSERT( mbedtls_mpi_bitlen( &grp.P ) == (size_t) bits ); TEST_ASSERT( vbuf - buf->x == record_len); } exit: mbedtls_ecp_group_free( &grp ); } /* END_CASE */ /* BEGIN_CASE */ void ecp_tls_write_read_group( int id ) { mbedtls_ecp_group grp1, grp2; unsigned char buf[10]; const unsigned char *vbuf = buf; size_t len; int ret; mbedtls_ecp_group_init( &grp1 ); mbedtls_ecp_group_init( &grp2 ); memset( buf, 0x00, sizeof( buf ) ); TEST_ASSERT( mbedtls_ecp_group_load( &grp1, id ) == 0 ); TEST_ASSERT( mbedtls_ecp_tls_write_group( &grp1, &len, buf, 10 ) == 0 ); ret = mbedtls_ecp_tls_read_group( &grp2, &vbuf, len ); TEST_ASSERT( ret == 0 ); if( ret == 0 ) { TEST_ASSERT( mbedtls_mpi_cmp_mpi( &grp1.N, &grp2.N ) == 0 ); TEST_ASSERT( grp1.id == grp2.id ); } exit: mbedtls_ecp_group_free( &grp1 ); mbedtls_ecp_group_free( &grp2 ); } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_check_privkey( int id, char * key_hex, int ret ) { mbedtls_ecp_group grp; mbedtls_mpi d; mbedtls_ecp_group_init( &grp ); mbedtls_mpi_init( &d ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &d, 16, key_hex ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_privkey( &grp, &d ) == ret ); exit: mbedtls_ecp_group_free( &grp ); mbedtls_mpi_free( &d ); } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_check_pub_priv( int id_pub, char * Qx_pub, char * Qy_pub, int id, char * d, char * Qx, char * Qy, int ret ) { mbedtls_ecp_keypair pub, prv; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_keypair_init( &pub ); mbedtls_ecp_keypair_init( &prv ); memset( &rnd_info, 0x00, sizeof( mbedtls_test_rnd_pseudo_info ) ); if( id_pub != MBEDTLS_ECP_DP_NONE ) TEST_ASSERT( mbedtls_ecp_group_load( &pub.grp, id_pub ) == 0 ); TEST_ASSERT( mbedtls_ecp_point_read_string( &pub.Q, 16, Qx_pub, Qy_pub ) == 0 ); if( id != MBEDTLS_ECP_DP_NONE ) TEST_ASSERT( mbedtls_ecp_group_load( &prv.grp, id ) == 0 ); TEST_ASSERT( mbedtls_ecp_point_read_string( &prv.Q, 16, Qx, Qy ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &prv.d, 16, d ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pub_priv( &pub, &prv, &mbedtls_test_rnd_pseudo_rand, &rnd_info ) == ret ); exit: mbedtls_ecp_keypair_free( &pub ); mbedtls_ecp_keypair_free( &prv ); } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_gen_keypair( int id ) { mbedtls_ecp_group grp; mbedtls_ecp_point Q; mbedtls_mpi d; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_group_init( &grp ); mbedtls_ecp_point_init( &Q ); mbedtls_mpi_init( &d ); memset( &rnd_info, 0x00, sizeof( mbedtls_test_rnd_pseudo_info ) ); TEST_ASSERT( mbedtls_ecp_group_load( &grp, id ) == 0 ); TEST_ASSERT( mbedtls_ecp_gen_keypair( &grp, &d, &Q, &mbedtls_test_rnd_pseudo_rand, &rnd_info ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &grp, &Q ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_privkey( &grp, &d ) == 0 ); exit: mbedtls_ecp_group_free( &grp ); mbedtls_ecp_point_free( &Q ); mbedtls_mpi_free( &d ); } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_gen_key( int id ) { mbedtls_ecp_keypair key; mbedtls_test_rnd_pseudo_info rnd_info; mbedtls_ecp_keypair_init( &key ); memset( &rnd_info, 0x00, sizeof( mbedtls_test_rnd_pseudo_info ) ); TEST_ASSERT( mbedtls_ecp_gen_key( id, &key, &mbedtls_test_rnd_pseudo_rand, &rnd_info ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_pubkey( &key.grp, &key.Q ) == 0 ); TEST_ASSERT( mbedtls_ecp_check_privkey( &key.grp, &key.d ) == 0 ); exit: mbedtls_ecp_keypair_free( &key ); } /* END_CASE */ /* BEGIN_CASE */ void mbedtls_ecp_read_key( int grp_id, data_t* in_key, int expected, int canonical ) { int ret = 0; mbedtls_ecp_keypair key; mbedtls_ecp_keypair key2; mbedtls_ecp_keypair_init( &key ); mbedtls_ecp_keypair_init( &key2 ); ret = mbedtls_ecp_read_key( grp_id, &key, in_key->x, in_key->len ); TEST_ASSERT( ret == expected ); if( expected == 0 ) { ret = mbedtls_ecp_check_privkey( &key.grp, &key.d ); TEST_ASSERT( ret == 0 ); if( canonical ) { unsigned char buf[MBEDTLS_ECP_MAX_BYTES]; ret = mbedtls_ecp_write_key( &key, buf, in_key->len ); TEST_ASSERT( ret == 0 ); ASSERT_COMPARE( in_key->x, in_key->len, buf, in_key->len ); } else { unsigned char export1[MBEDTLS_ECP_MAX_BYTES]; unsigned char export2[MBEDTLS_ECP_MAX_BYTES]; ret = mbedtls_ecp_write_key( &key, export1, in_key->len ); TEST_ASSERT( ret == 0 ); ret = mbedtls_ecp_read_key( grp_id, &key2, export1, in_key->len ); TEST_ASSERT( ret == expected ); ret = mbedtls_ecp_write_key( &key2, export2, in_key->len ); TEST_ASSERT( ret == 0 ); ASSERT_COMPARE( export1, in_key->len, export2, in_key->len ); } } exit: mbedtls_ecp_keypair_free( &key ); mbedtls_ecp_keypair_free( &key2 ); } /* END_CASE */ /* BEGIN_CASE depends_on:HAVE_FIX_NEGATIVE */ void fix_negative( data_t *N_bin, int c, int bits ) { mbedtls_mpi C, M, N; mbedtls_mpi_init( &C ); mbedtls_mpi_init( &M ); mbedtls_mpi_init( &N ); /* C = - c * 2^bits (positive since c is negative) */ TEST_EQUAL( 0, mbedtls_mpi_lset( &C, -c ) ); TEST_EQUAL( 0, mbedtls_mpi_shift_l( &C, bits ) ); TEST_EQUAL( 0, mbedtls_mpi_read_binary( &N, N_bin->x, N_bin->len ) ); TEST_EQUAL( 0, mbedtls_mpi_grow( &N, C.n ) ); /* M = N - C = - ( C - N ) (expected result of fix_negative) */ TEST_EQUAL( 0, mbedtls_mpi_sub_mpi( &M, &N, &C ) ); mbedtls_ecp_fix_negative( &N, c, bits ); TEST_EQUAL( 0, mbedtls_mpi_cmp_mpi( &N, &M ) ); exit: mbedtls_mpi_free( &C ); mbedtls_mpi_free( &M ); mbedtls_mpi_free( &N ); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS:MBEDTLS_ECP_MONTGOMERY_ENABLED */ void genkey_mx_known_answer( int bits, data_t *seed, data_t *expected ) { mbedtls_test_rnd_buf_info rnd_info; mbedtls_mpi d; int ret; uint8_t *actual = NULL; mbedtls_mpi_init( &d ); rnd_info.buf = seed->x; rnd_info.length = seed->len; rnd_info.fallback_f_rng = NULL; rnd_info.fallback_p_rng = NULL; ASSERT_ALLOC( actual, expected->len ); ret = mbedtls_ecp_gen_privkey_mx( bits, &d, mbedtls_test_rnd_buffer_rand, &rnd_info ); if( expected->len == 0 ) { /* Expecting an error (happens if there isn't enough randomness) */ TEST_ASSERT( ret != 0 ); } else { TEST_EQUAL( ret, 0 ); TEST_EQUAL( (size_t) bits + 1, mbedtls_mpi_bitlen( &d ) ); TEST_EQUAL( 0, mbedtls_mpi_write_binary( &d, actual, expected->len ) ); /* Test the exact result. This assumes that the output of the * RNG is used in a specific way, which is overly constraining. * The advantage is that it's easier to test the expected properties * of the generated key: * - The most significant bit must be at a specific positions * (can be enforced by checking the bit-length). * - The least significant bits must have specific values * (can be enforced by checking these bits). * - Other bits must be random (by testing with different RNG outputs, * we validate that those bits are indeed influenced by the RNG). */ ASSERT_COMPARE( expected->x, expected->len, actual, expected->len ); } exit: mbedtls_free( actual ); mbedtls_mpi_free( &d ); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_SELF_TEST */ void ecp_selftest( ) { TEST_ASSERT( mbedtls_ecp_self_test( 1 ) == 0 ); } /* END_CASE */ /* BEGIN_CASE */ void ecp_export( int id, char * Qx, char * Qy,char * d, int expected_ret, int invalid_grp ) { mbedtls_ecp_keypair key; mbedtls_ecp_group export_grp; mbedtls_mpi export_d; mbedtls_ecp_point export_Q; mbedtls_ecp_group_init( &export_grp ); mbedtls_ecp_group_init( &key.grp ); mbedtls_mpi_init( &export_d ); mbedtls_ecp_point_init( &export_Q ); mbedtls_ecp_keypair_init( &key ); if( invalid_grp == 0 ) TEST_ASSERT( mbedtls_ecp_group_load( &key.grp, id ) == 0 ); TEST_ASSERT( mbedtls_ecp_point_read_string( &key.Q, 16, Qx, Qy ) == 0 ); TEST_ASSERT( mbedtls_test_read_mpi( &key.d, 16, d ) == 0 ); TEST_EQUAL( mbedtls_ecp_export( &key, &export_grp, &export_d, &export_Q ), expected_ret ); if( expected_ret == 0 ) { TEST_EQUAL( mbedtls_ecp_point_cmp( &key.Q, &export_Q ), 0 ); TEST_EQUAL( mbedtls_mpi_cmp_mpi( &key.d, &export_d ), 0 ); TEST_EQUAL( mbedtls_ecp_group_cmp( &key.grp, &export_grp ), 0 ); } exit: mbedtls_ecp_keypair_free( &key ); mbedtls_ecp_group_free( &export_grp ); mbedtls_mpi_free( &export_d ); mbedtls_ecp_point_free( &export_Q ); } /* END_CASE */