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ECP self test: add self-test step for Montgomery curves
Run some self-test both for a short Weierstrass curve and for a Montgomery curve, if the build-time configuration includes a curve of both types. Run both because there are significant differences in the implementation. The test data is suitable for Curve25519. Signed-off-by: Gilles Peskine <gilles.peskine@arm.com>
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@ -3301,7 +3301,7 @@ static int self_test_point( int verbose,
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size_t n_exponents )
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{
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int ret = 0;
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size_t i;
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size_t i = 0;
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unsigned long add_c_prev, dbl_c_prev, mul_c_prev;
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add_count = 0;
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dbl_count = 0;
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@ -3350,10 +3350,12 @@ int mbedtls_ecp_self_test( int verbose )
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mbedtls_ecp_group grp;
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mbedtls_ecp_point R, P;
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mbedtls_mpi m;
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#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
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/* Exponents especially adapted for secp192k1, which has the lowest
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* order n of all supported curves (secp192r1 is in a slightly larger
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* field but the order of its base point is slightly smaller). */
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const char *exponents[] =
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const char *sw_exponents[] =
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{
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"000000000000000000000000000000000000000000000001", /* one */
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"FFFFFFFFFFFFFFFFFFFFFFFE26F2FC170F69466A74DEFD8C", /* n - 1 */
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@ -3362,12 +3364,25 @@ int mbedtls_ecp_self_test( int verbose )
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"7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF", /* all ones */
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"555555555555555555555555555555555555555555555555", /* 101010... */
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};
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#endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
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#if defined(MBEDTLS_ECP_MONTGOMERY_ENABLED)
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const char *m_exponents[] =
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{
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"4000000000000000000000000000000000000000000000000000000000000000",
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"5C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C3C30",
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"5715ECCE24583F7A7023C24164390586842E816D7280A49EF6DF4EAE6B280BF8",
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"41A2B017516F6D254E1F002BCCBADD54BE30F8CEC737A0E912B4963B6BA74460",
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"5555555555555555555555555555555555555555555555555555555555555550",
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"7FFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFFF8",
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};
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#endif /* MBEDTLS_ECP_MONTGOMERY_ENABLED */
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mbedtls_ecp_group_init( &grp );
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mbedtls_ecp_point_init( &R );
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mbedtls_ecp_point_init( &P );
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mbedtls_mpi_init( &m );
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#if defined(MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED)
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/* Use secp192r1 if available, or any available curve */
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#if defined(MBEDTLS_ECP_DP_SECP192R1_ENABLED)
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MBEDTLS_MPI_CHK( mbedtls_ecp_group_load( &grp, MBEDTLS_ECP_DP_SECP192R1 ) );
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@ -3376,24 +3391,48 @@ int mbedtls_ecp_self_test( int verbose )
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#endif
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if( verbose != 0 )
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mbedtls_printf( " ECP test #1 (constant op_count, base point G): " );
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mbedtls_printf( " ECP SW test #1 (constant op_count, base point G): " );
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/* Do a dummy multiplication first to trigger precomputation */
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MBEDTLS_MPI_CHK( mbedtls_mpi_lset( &m, 2 ) );
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MBEDTLS_MPI_CHK( mbedtls_ecp_mul( &grp, &P, &m, &grp.G, NULL, NULL ) );
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ret = self_test_point( verbose,
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&grp, &R, &m, &grp.G,
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exponents,
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sizeof( exponents ) / sizeof( exponents[0] ));
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sw_exponents,
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sizeof( sw_exponents ) / sizeof( sw_exponents[0] ));
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if( ret != 0 )
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goto cleanup;
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if( verbose != 0 )
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mbedtls_printf( " ECP test #2 (constant op_count, other point): " );
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mbedtls_printf( " ECP SW test #2 (constant op_count, other point): " );
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/* We computed P = 2G last time, use it */
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ret = self_test_point( verbose,
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&grp, &R, &m, &P,
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exponents,
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sizeof( exponents ) / sizeof( exponents[0] ));
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sw_exponents,
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sizeof( sw_exponents ) / sizeof( sw_exponents[0] ));
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if( ret != 0 )
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goto cleanup;
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mbedtls_ecp_group_free( &grp );
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mbedtls_ecp_point_free( &R );
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#endif /* MBEDTLS_ECP_SHORT_WEIERSTRASS_ENABLED */
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#if defined(MBEDTLS_ECP_MONTGOMERY_ENABLED)
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if( verbose != 0 )
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mbedtls_printf( " ECP Montgomery test (constant op_count): " );
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#if defined(MBEDTLS_ECP_DP_CURVE25519_ENABLED)
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MBEDTLS_MPI_CHK( mbedtls_ecp_group_load( &grp, MBEDTLS_ECP_DP_CURVE25519 ) );
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#elif defined(MBEDTLS_ECP_DP_CURVE448_ENABLED)
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MBEDTLS_MPI_CHK( mbedtls_ecp_group_load( &grp, MBEDTLS_ECP_DP_CURVE448 ) );
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#else
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#error "MBEDTLS_ECP_MONTGOMERY_ENABLED is defined, but no curve is supported for self-test"
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#endif
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ret = self_test_point( verbose,
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&grp, &R, &m, &grp.G,
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m_exponents,
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sizeof( m_exponents ) / sizeof( m_exponents[0] ));
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if( ret != 0 )
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goto cleanup;
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#endif /* MBEDTLS_ECP_MONTGOMERY_ENABLED */
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cleanup:
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