/* BEGIN_HEADER */ #include "mbedtls/bignum.h" #include "mbedtls/entropy.h" #include "bignum_core.h" #include "constant_time_internal.h" #include "test/constant_flow.h" /** Verifies mbedtls_mpi_core_add(). * * \param[in] A Little-endian presentation of the left operand. * \param[in] B Little-endian presentation of the right operand. * \param limbs Number of limbs in each MPI (\p A, \p B, \p S and \p X). * \param[in] S Little-endian presentation of the expected sum. * \param carry Expected carry from the addition. * \param[in,out] X Temporary storage to be used for results. * * \return 1 if mbedtls_mpi_core_add() passes this test, otherwise 0. */ static int mpi_core_verify_add( mbedtls_mpi_uint *A, mbedtls_mpi_uint *B, size_t limbs, mbedtls_mpi_uint *S, int carry, mbedtls_mpi_uint *X ) { int ret = 0; size_t bytes = limbs * sizeof( *A ); /* The test cases have A <= B to avoid repetition, so we test A + B then, * if A != B, B + A. If A == B, we can test when A and B are aliased */ /* A + B */ /* A + B => correct result and carry */ TEST_EQUAL( carry, mbedtls_mpi_core_add( X, A, B, limbs ) ); ASSERT_COMPARE( X, bytes, S, bytes ); /* A + B; alias output and first operand => correct result and carry */ memcpy( X, A, bytes ); TEST_EQUAL( carry, mbedtls_mpi_core_add( X, X, B, limbs ) ); ASSERT_COMPARE( X, bytes, S, bytes ); /* A + B; alias output and second operand => correct result and carry */ memcpy( X, B, bytes ); TEST_EQUAL( carry, mbedtls_mpi_core_add( X, A, X, limbs ) ); ASSERT_COMPARE( X, bytes, S, bytes ); if ( memcmp( A, B, bytes ) == 0 ) { /* A == B, so test where A and B are aliased */ /* A + A => correct result and carry */ TEST_EQUAL( carry, mbedtls_mpi_core_add( X, A, A, limbs ) ); ASSERT_COMPARE( X, bytes, S, bytes ); /* A + A, output aliased to both operands => correct result and carry */ memcpy( X, A, bytes ); TEST_EQUAL( carry, mbedtls_mpi_core_add( X, X, X, limbs ) ); ASSERT_COMPARE( X, bytes, S, bytes ); } else { /* A != B, so test B + A */ /* B + A => correct result and carry */ TEST_EQUAL( carry, mbedtls_mpi_core_add( X, B, A, limbs ) ); ASSERT_COMPARE( X, bytes, S, bytes ); /* B + A; alias output and first operand => correct result and carry */ memcpy( X, B, bytes ); TEST_EQUAL( carry, mbedtls_mpi_core_add( X, X, A, limbs ) ); ASSERT_COMPARE( X, bytes, S, bytes ); /* B + A; alias output and second operand => correct result and carry */ memcpy( X, A, bytes ); TEST_EQUAL( carry, mbedtls_mpi_core_add( X, B, X, limbs ) ); ASSERT_COMPARE( X, bytes, S, bytes ); } ret = 1; exit: return ret; } /** Verifies mbedtls_mpi_core_add_if(). * * \param[in] A Little-endian presentation of the left operand. * \param[in] B Little-endian presentation of the right operand. * \param limbs Number of limbs in each MPI (\p A, \p B, \p S and \p X). * \param[in] S Little-endian presentation of the expected sum. * \param carry Expected carry from the addition. * \param[in,out] X Temporary storage to be used for results. * * \return 1 if mbedtls_mpi_core_add_if() passes this test, otherwise 0. */ static int mpi_core_verify_add_if( mbedtls_mpi_uint *A, mbedtls_mpi_uint *B, size_t limbs, mbedtls_mpi_uint *S, int carry, mbedtls_mpi_uint *X ) { int ret = 0; size_t bytes = limbs * sizeof( *A ); /* The test cases have A <= B to avoid repetition, so we test A + B then, * if A != B, B + A. If A == B, we can test when A and B are aliased */ /* A + B */ /* cond = 0 => X unchanged, no carry */ memcpy( X, A, bytes ); TEST_EQUAL( 0, mbedtls_mpi_core_add_if( X, B, limbs, 0 ) ); ASSERT_COMPARE( X, bytes, A, bytes ); /* cond = 1 => correct result and carry */ TEST_EQUAL( carry, mbedtls_mpi_core_add_if( X, B, limbs, 1 ) ); ASSERT_COMPARE( X, bytes, S, bytes ); if ( memcmp( A, B, bytes ) == 0 ) { /* A == B, so test where A and B are aliased */ /* cond = 0 => X unchanged, no carry */ memcpy( X, B, bytes ); TEST_EQUAL( 0, mbedtls_mpi_core_add_if( X, X, limbs, 0 ) ); ASSERT_COMPARE( X, bytes, B, bytes ); /* cond = 1 => correct result and carry */ TEST_EQUAL( carry, mbedtls_mpi_core_add_if( X, X, limbs, 1 ) ); ASSERT_COMPARE( X, bytes, S, bytes ); } else { /* A != B, so test B + A */ /* cond = 0 => d unchanged, no carry */ memcpy( X, B, bytes ); TEST_EQUAL( 0, mbedtls_mpi_core_add_if( X, A, limbs, 0 ) ); ASSERT_COMPARE( X, bytes, B, bytes ); /* cond = 1 => correct result and carry */ TEST_EQUAL( carry, mbedtls_mpi_core_add_if( X, A, limbs, 1 ) ); ASSERT_COMPARE( X, bytes, S, bytes ); } ret = 1; exit: return ret; } /* END_HEADER */ /* BEGIN_DEPENDENCIES * depends_on:MBEDTLS_BIGNUM_C * END_DEPENDENCIES */ /* BEGIN_CASE */ void mpi_core_io_null() { mbedtls_mpi_uint X = 0; int ret; ret = mbedtls_mpi_core_read_be( &X, 1, NULL, 0 ); TEST_EQUAL( ret, 0 ); ret = mbedtls_mpi_core_write_be( &X, 1, NULL, 0 ); TEST_EQUAL( ret, 0 ); ret = mbedtls_mpi_core_read_be( NULL, 0, NULL, 0 ); TEST_EQUAL( ret, 0 ); ret = mbedtls_mpi_core_write_be( NULL, 0, NULL, 0 ); TEST_EQUAL( ret, 0 ); ret = mbedtls_mpi_core_read_le( &X, 1, NULL, 0 ); TEST_EQUAL( ret, 0 ); ret = mbedtls_mpi_core_write_le( &X, 1, NULL, 0 ); TEST_EQUAL( ret, 0 ); ret = mbedtls_mpi_core_read_le( NULL, 0, NULL, 0 ); TEST_EQUAL( ret, 0 ); ret = mbedtls_mpi_core_write_le( NULL, 0, NULL, 0 ); TEST_EQUAL( ret, 0 ); exit: ; } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_io_be( data_t *input, int nb_int, int nx_32_int, int iret, int oret ) { if( iret != 0 ) TEST_ASSERT( oret == 0 ); TEST_LE_S( 0, nb_int ); size_t nb = nb_int; unsigned char buf[1024]; TEST_LE_U( nb, sizeof( buf ) ); /* nx_32_int is the number of 32 bit limbs, if we have 64 bit limbs we need * to halve the number of limbs to have the same size. */ size_t nx; TEST_LE_S( 0, nx_32_int ); if( sizeof( mbedtls_mpi_uint ) == 8 ) nx = nx_32_int / 2 + nx_32_int % 2; else nx = nx_32_int; mbedtls_mpi_uint X[sizeof( buf ) / sizeof( mbedtls_mpi_uint )]; TEST_LE_U( nx, sizeof( X ) / sizeof( X[0] ) ); int ret = mbedtls_mpi_core_read_be( X, nx, input->x, input->len ); TEST_EQUAL( ret, iret ); if( iret == 0 ) { ret = mbedtls_mpi_core_write_be( X, nx, buf, nb ); TEST_EQUAL( ret, oret ); } if( ( iret == 0 ) && ( oret == 0 ) ) { if( nb > input->len ) { size_t leading_zeroes = nb - input->len; TEST_ASSERT( memcmp( buf + nb - input->len, input->x, input->len ) == 0 ); for( size_t i = 0; i < leading_zeroes; i++ ) TEST_EQUAL( buf[i], 0 ); } else { size_t leading_zeroes = input->len - nb; TEST_ASSERT( memcmp( input->x + input->len - nb, buf, nb ) == 0 ); for( size_t i = 0; i < leading_zeroes; i++ ) TEST_EQUAL( input->x[i], 0 ); } } exit: ; } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_io_le( data_t *input, int nb_int, int nx_32_int, int iret, int oret ) { if( iret != 0 ) TEST_ASSERT( oret == 0 ); TEST_LE_S( 0, nb_int ); size_t nb = nb_int; unsigned char buf[1024]; TEST_LE_U( nb, sizeof( buf ) ); /* nx_32_int is the number of 32 bit limbs, if we have 64 bit limbs we need * to halve the number of limbs to have the same size. */ size_t nx; TEST_LE_S( 0, nx_32_int ); if( sizeof( mbedtls_mpi_uint ) == 8 ) nx = nx_32_int / 2 + nx_32_int % 2; else nx = nx_32_int; mbedtls_mpi_uint X[sizeof( buf ) / sizeof( mbedtls_mpi_uint )]; TEST_LE_U( nx, sizeof( X ) / sizeof( X[0] ) ); int ret = mbedtls_mpi_core_read_le( X, nx, input->x, input->len ); TEST_EQUAL( ret, iret ); if( iret == 0 ) { ret = mbedtls_mpi_core_write_le( X, nx, buf, nb ); TEST_EQUAL( ret, oret ); } if( ( iret == 0 ) && ( oret == 0 ) ) { if( nb > input->len ) { TEST_ASSERT( memcmp( buf, input->x, input->len ) == 0 ); for( size_t i = input->len; i < nb; i++ ) TEST_EQUAL( buf[i], 0 ); } else { TEST_ASSERT( memcmp( input->x, buf, nb ) == 0 ); for( size_t i = nb; i < input->len; i++ ) TEST_EQUAL( input->x[i], 0 ); } } exit: ; } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_bitlen( char *input_X, int nr_bits ) { mbedtls_mpi_uint *X = NULL; size_t limbs; TEST_EQUAL( mbedtls_test_read_mpi_core( &X, &limbs, input_X ), 0 ); TEST_EQUAL( mbedtls_mpi_core_bitlen( X, limbs ), nr_bits ); exit: mbedtls_free( X ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_lt_ct( char *input_X, char *input_Y, int exp_ret ) { mbedtls_mpi_uint *X = NULL; size_t X_limbs; mbedtls_mpi_uint *Y = NULL; size_t Y_limbs; int ret; TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &X, &X_limbs, input_X ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &Y, &Y_limbs, input_Y ) ); /* We need two same-length limb arrays */ TEST_EQUAL( X_limbs, Y_limbs ); TEST_CF_SECRET( X, X_limbs * sizeof( mbedtls_mpi_uint ) ); TEST_CF_SECRET( Y, X_limbs * sizeof( mbedtls_mpi_uint ) ); ret = mbedtls_mpi_core_lt_ct( X, Y, X_limbs ); TEST_EQUAL( ret, exp_ret ); exit: mbedtls_free( X ); mbedtls_free( Y ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_uint_le_mpi( char *input_A ) { mbedtls_mpi_uint *A = NULL; size_t A_limbs = 0; TEST_EQUAL( mbedtls_test_read_mpi_core( &A, &A_limbs, input_A ), 0 ); int is_large = 0; /* nonzero limbs beyond the lowest-order one? */ for( size_t i = 1; i < A_limbs; i++ ) { if( A[i] != 0 ) { is_large = 1; break; } } TEST_CF_SECRET( A, A_limbs * sizeof( *A ) ); TEST_EQUAL( mbedtls_mpi_core_uint_le_mpi( 0, A, A_limbs ), 1 ); TEST_EQUAL( mbedtls_mpi_core_uint_le_mpi( A[0], A, A_limbs ), 1 ); if( is_large ) { TEST_EQUAL( mbedtls_mpi_core_uint_le_mpi( A[0] + 1, A, A_limbs ), 1 ); TEST_EQUAL( mbedtls_mpi_core_uint_le_mpi( (mbedtls_mpi_uint)( -1 ) >> 1, A, A_limbs ), 1 ); TEST_EQUAL( mbedtls_mpi_core_uint_le_mpi( (mbedtls_mpi_uint)( -1 ), A, A_limbs ), 1 ); } else { TEST_EQUAL( mbedtls_mpi_core_uint_le_mpi( A[0] + 1, A, A_limbs ), A[0] + 1 <= A[0] ); TEST_EQUAL( mbedtls_mpi_core_uint_le_mpi( (mbedtls_mpi_uint)( -1 ) >> 1, A, A_limbs ), (mbedtls_mpi_uint)( -1 ) >> 1 <= A[0] ); TEST_EQUAL( mbedtls_mpi_core_uint_le_mpi( (mbedtls_mpi_uint)( -1 ), A, A_limbs ), (mbedtls_mpi_uint)( -1 ) <= A[0] ); } exit: mbedtls_free( A ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_cond_assign( char * input_X, char * input_Y, int input_bytes ) { mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *Y = NULL; size_t limbs_X; size_t limbs_Y; TEST_EQUAL( mbedtls_test_read_mpi_core( &X, &limbs_X, input_X ), 0 ); TEST_EQUAL( mbedtls_test_read_mpi_core( &Y, &limbs_Y, input_Y ), 0 ); size_t limbs = limbs_X; size_t copy_limbs = CHARS_TO_LIMBS( input_bytes ); size_t bytes = limbs * sizeof( mbedtls_mpi_uint ); size_t copy_bytes = copy_limbs * sizeof( mbedtls_mpi_uint ); TEST_EQUAL( limbs_X, limbs_Y ); TEST_ASSERT( copy_limbs <= limbs ); /* condition is false */ TEST_CF_SECRET( X, bytes ); TEST_CF_SECRET( Y, bytes ); mbedtls_mpi_core_cond_assign( X, Y, copy_limbs, 0 ); TEST_CF_PUBLIC( X, bytes ); TEST_CF_PUBLIC( Y, bytes ); TEST_ASSERT( memcmp( X, Y, bytes ) != 0 ); /* condition is true */ TEST_CF_SECRET( X, bytes ); TEST_CF_SECRET( Y, bytes ); mbedtls_mpi_core_cond_assign( X, Y, copy_limbs, 1 ); TEST_CF_PUBLIC( X, bytes ); TEST_CF_PUBLIC( Y, bytes ); /* Check if the given length is copied even it is smaller than the length of the given MPIs. */ if( copy_limbs < limbs ) { TEST_CF_PUBLIC( X, bytes ); TEST_CF_PUBLIC( Y, bytes ); ASSERT_COMPARE( X, copy_bytes, Y, copy_bytes ); TEST_ASSERT( memcmp( X, Y, bytes ) != 0 ); } else ASSERT_COMPARE( X, bytes, Y, bytes ); exit: mbedtls_free( X ); mbedtls_free( Y ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_cond_swap( char * input_X, char * input_Y, int input_bytes ) { mbedtls_mpi_uint *tmp_X = NULL; mbedtls_mpi_uint *tmp_Y = NULL; mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *Y = NULL; size_t limbs_X; size_t limbs_Y; TEST_EQUAL( mbedtls_test_read_mpi_core( &tmp_X, &limbs_X, input_X ), 0 ); TEST_EQUAL( mbedtls_test_read_mpi_core( &tmp_Y, &limbs_Y, input_Y ), 0 ); size_t limbs = limbs_X; size_t copy_limbs = CHARS_TO_LIMBS( input_bytes ); size_t bytes = limbs * sizeof( mbedtls_mpi_uint ); size_t copy_bytes = copy_limbs * sizeof( mbedtls_mpi_uint ); TEST_EQUAL( limbs_X, limbs_Y ); TEST_ASSERT( copy_limbs <= limbs ); ASSERT_ALLOC( X, limbs ); memcpy( X, tmp_X, bytes ); ASSERT_ALLOC( Y, limbs ); memcpy( Y, tmp_Y, bytes ); /* condition is false */ TEST_CF_SECRET( X, bytes ); TEST_CF_SECRET( Y, bytes ); mbedtls_mpi_core_cond_swap( X, Y, copy_limbs, 0 ); TEST_CF_PUBLIC( X, bytes ); TEST_CF_PUBLIC( Y, bytes ); ASSERT_COMPARE( X, bytes, tmp_X, bytes ); ASSERT_COMPARE( Y, bytes, tmp_Y, bytes ); /* condition is true */ TEST_CF_SECRET( X, bytes ); TEST_CF_SECRET( Y, bytes ); mbedtls_mpi_core_cond_swap( X, Y, copy_limbs, 1 ); TEST_CF_PUBLIC( X, bytes ); TEST_CF_PUBLIC( Y, bytes ); /* Check if the given length is copied even it is smaller than the length of the given MPIs. */ if( copy_limbs < limbs ) { ASSERT_COMPARE( X, copy_bytes, tmp_Y, copy_bytes ); ASSERT_COMPARE( Y, copy_bytes, tmp_X, copy_bytes ); TEST_ASSERT( memcmp( X, tmp_X, bytes ) != 0 ); TEST_ASSERT( memcmp( X, tmp_Y, bytes ) != 0 ); TEST_ASSERT( memcmp( Y, tmp_X, bytes ) != 0 ); TEST_ASSERT( memcmp( Y, tmp_Y, bytes ) != 0 ); } else { ASSERT_COMPARE( X, bytes, tmp_Y, bytes ); ASSERT_COMPARE( Y, bytes, tmp_X, bytes ); } exit: mbedtls_free( tmp_X ); mbedtls_free( tmp_Y ); mbedtls_free( X ); mbedtls_free( Y ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_shift_r( char *input, int count, char *result ) { mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *Y = NULL; size_t limbs, n; TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &X, &limbs, input ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &Y, &n, result ) ); TEST_EQUAL( limbs, n ); mbedtls_mpi_core_shift_r( X, limbs, count ); ASSERT_COMPARE( X, limbs * ciL, Y, limbs * ciL ); exit: mbedtls_free( X ); mbedtls_free( Y ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_add_and_add_if( char * input_A, char * input_B, char * input_S, int carry ) { mbedtls_mpi_uint *A = NULL; /* first value to add */ mbedtls_mpi_uint *B = NULL; /* second value to add */ mbedtls_mpi_uint *S = NULL; /* expected result */ mbedtls_mpi_uint *X = NULL; /* destination - the in/out first operand */ size_t A_limbs, B_limbs, S_limbs; TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &A, &A_limbs, input_A ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &B, &B_limbs, input_B ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &S, &S_limbs, input_S ) ); /* add and add_if expect all operands to be the same length */ TEST_EQUAL( A_limbs, B_limbs ); TEST_EQUAL( A_limbs, S_limbs ); size_t limbs = A_limbs; ASSERT_ALLOC( X, limbs ); TEST_ASSERT( mpi_core_verify_add( A, B, limbs, S, carry, X ) ); TEST_ASSERT( mpi_core_verify_add_if( A, B, limbs, S, carry, X ) ); exit: mbedtls_free( A ); mbedtls_free( B ); mbedtls_free( S ); mbedtls_free( X ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_sub( char * input_A, char * input_B, char * input_X, int carry ) { mbedtls_mpi A, B, X; mbedtls_mpi_uint *a = NULL; mbedtls_mpi_uint *b = NULL; mbedtls_mpi_uint *x = NULL; /* expected */ mbedtls_mpi_uint *r = NULL; /* result */ mbedtls_mpi_init( &A ); mbedtls_mpi_init( &B ); mbedtls_mpi_init( &X ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &A, input_A ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &B, input_B ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &X, input_X ) ); /* All of the inputs are +ve (or zero) */ TEST_EQUAL( 1, A.s ); TEST_EQUAL( 1, B.s ); TEST_EQUAL( 1, X.s ); /* Get the number of limbs we will need */ size_t limbs = MAX( A.n, B.n ); size_t bytes = limbs * sizeof(mbedtls_mpi_uint); /* The result shouldn't have more limbs than the longest input */ TEST_LE_U( X.n, limbs ); /* Now let's get arrays of mbedtls_mpi_uints, rather than MPI structures */ /* ASSERT_ALLOC() uses calloc() under the hood, so these do get zeroed */ ASSERT_ALLOC( a, bytes ); ASSERT_ALLOC( b, bytes ); ASSERT_ALLOC( x, bytes ); ASSERT_ALLOC( r, bytes ); /* Populate the arrays. As the mbedtls_mpi_uint[]s in mbedtls_mpis (and as * processed by mbedtls_mpi_core_sub()) are little endian, we can just * copy what we have as long as MSBs are 0 (which they are from ASSERT_ALLOC()) */ memcpy( a, A.p, A.n * sizeof(mbedtls_mpi_uint) ); memcpy( b, B.p, B.n * sizeof(mbedtls_mpi_uint) ); memcpy( x, X.p, X.n * sizeof(mbedtls_mpi_uint) ); /* 1a) r = a - b => we should get the correct carry */ TEST_EQUAL( carry, mbedtls_mpi_core_sub( r, a, b, limbs ) ); /* 1b) r = a - b => we should get the correct result */ ASSERT_COMPARE( r, bytes, x, bytes ); /* 2 and 3 test "r may be aliased to a or b" */ /* 2a) r = a; r -= b => we should get the correct carry (use r to avoid clobbering a) */ memcpy( r, a, bytes ); TEST_EQUAL( carry, mbedtls_mpi_core_sub( r, r, b, limbs ) ); /* 2b) r -= b => we should get the correct result */ ASSERT_COMPARE( r, bytes, x, bytes ); /* 3a) r = b; r = a - r => we should get the correct carry (use r to avoid clobbering b) */ memcpy( r, b, bytes ); TEST_EQUAL( carry, mbedtls_mpi_core_sub( r, a, r, limbs ) ); /* 3b) r = a - b => we should get the correct result */ ASSERT_COMPARE( r, bytes, x, bytes ); /* 4 tests "r may be aliased to [...] both" */ if ( A.n == B.n && memcmp( A.p, B.p, bytes ) == 0 ) { memcpy( r, b, bytes ); TEST_EQUAL( carry, mbedtls_mpi_core_sub( r, r, r, limbs ) ); ASSERT_COMPARE( r, bytes, x, bytes ); } exit: mbedtls_free( a ); mbedtls_free( b ); mbedtls_free( x ); mbedtls_free( r ); mbedtls_mpi_free( &A ); mbedtls_mpi_free( &B ); mbedtls_mpi_free( &X ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_mla( char * input_A, char * input_B, char * input_S, char * input_X4, char * input_cy4, char * input_X8, char * input_cy8 ) { /* We are testing A += B * s; A, B are MPIs, s is a scalar. * * However, we encode s as an MPI in the .data file as the test framework * currently only supports `int`-typed scalars, and that doesn't cover the * full range of `mbedtls_mpi_uint`. * * We also have the different results for sizeof(mbedtls_mpi_uint) == 4 or 8. */ mbedtls_mpi A, B, S, X4, X8, cy4, cy8; mbedtls_mpi_uint *a = NULL; mbedtls_mpi_uint *x = NULL; mbedtls_mpi_init( &A ); mbedtls_mpi_init( &B ); mbedtls_mpi_init( &S ); mbedtls_mpi_init( &X4 ); mbedtls_mpi_init( &X8 ); mbedtls_mpi_init( &cy4 ); mbedtls_mpi_init( &cy8 ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &A, input_A ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &B, input_B ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &S, input_S ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &X4, input_X4 ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &cy4, input_cy4 ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &X8, input_X8 ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &cy8, input_cy8 ) ); /* The MPI encoding of scalar s must be only 1 limb */ TEST_EQUAL( 1, S.n ); /* We only need to work with X4 or X8, and cy4 or cy8, depending on sizeof(mbedtls_mpi_uint) */ mbedtls_mpi *X = ( sizeof(mbedtls_mpi_uint) == 4 ) ? &X4 : &X8; mbedtls_mpi *cy = ( sizeof(mbedtls_mpi_uint) == 4 ) ? &cy4 : &cy8; /* The carry should only have one limb */ TEST_EQUAL( 1, cy->n ); /* All of the inputs are +ve (or zero) */ TEST_EQUAL( 1, A.s ); TEST_EQUAL( 1, B.s ); TEST_EQUAL( 1, S.s ); TEST_EQUAL( 1, X->s ); TEST_EQUAL( 1, cy->s ); /* Get the (max) number of limbs we will need */ size_t limbs = MAX( A.n, B.n ); size_t bytes = limbs * sizeof(mbedtls_mpi_uint); /* The result shouldn't have more limbs than the longest input */ TEST_LE_U( X->n, limbs ); /* Now let's get arrays of mbedtls_mpi_uints, rather than MPI structures */ /* ASSERT_ALLOC() uses calloc() under the hood, so these do get zeroed */ ASSERT_ALLOC( a, bytes ); ASSERT_ALLOC( x, bytes ); /* Populate the arrays. As the mbedtls_mpi_uint[]s in mbedtls_mpis (and as * processed by mbedtls_mpi_core_mla()) are little endian, we can just * copy what we have as long as MSBs are 0 (which they are from ASSERT_ALLOC()). */ memcpy( a, A.p, A.n * sizeof(mbedtls_mpi_uint) ); memcpy( x, X->p, X->n * sizeof(mbedtls_mpi_uint) ); /* 1a) A += B * s => we should get the correct carry */ TEST_EQUAL( mbedtls_mpi_core_mla( a, limbs, B.p, B.n, *S.p ), *cy->p ); /* 1b) A += B * s => we should get the correct result */ ASSERT_COMPARE( a, bytes, x, bytes ); if ( A.n == B.n && memcmp( A.p, B.p, bytes ) == 0 ) { /* Check when A and B are aliased */ memcpy( a, A.p, A.n * sizeof(mbedtls_mpi_uint) ); TEST_EQUAL( mbedtls_mpi_core_mla( a, limbs, a, limbs, *S.p ), *cy->p ); ASSERT_COMPARE( a, bytes, x, bytes ); } exit: mbedtls_free( a ); mbedtls_free( x ); mbedtls_mpi_free( &A ); mbedtls_mpi_free( &B ); mbedtls_mpi_free( &S ); mbedtls_mpi_free( &X4 ); mbedtls_mpi_free( &X8 ); mbedtls_mpi_free( &cy4 ); mbedtls_mpi_free( &cy8 ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_montg_init( char * input_N, char * input_mm ) { mbedtls_mpi N, mm; mbedtls_mpi_init( &N ); mbedtls_mpi_init( &mm ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &N, input_N ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &mm, input_mm ) ); /* The MPI encoding of mm should be 1 limb (sizeof(mbedtls_mpi_uint) == 8) or * 2 limbs (sizeof(mbedtls_mpi_uint) == 4). * * The data file contains the expected result for sizeof(mbedtls_mpi_uint) == 8; * for sizeof(mbedtls_mpi_uint) == 4 it's just the LSW of this. */ TEST_ASSERT( mm.n == 1 || mm.n == 2 ); /* All of the inputs are +ve (or zero) */ TEST_EQUAL( 1, N.s ); TEST_EQUAL( 1, mm.s ); /* mbedtls_mpi_core_montmul_init() only returns a result, no error possible */ mbedtls_mpi_uint result = mbedtls_mpi_core_montmul_init( N.p ); /* Check we got the correct result */ TEST_EQUAL( result, mm.p[0] ); exit: mbedtls_mpi_free( &N ); mbedtls_mpi_free( &mm ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_montmul( int limbs_AN4, int limbs_B4, int limbs_AN8, int limbs_B8, char * input_A, char * input_B, char * input_N, char * input_X4, char * input_X8 ) { mbedtls_mpi A, B, N, X4, X8, T, R; mbedtls_mpi_init( &A ); mbedtls_mpi_init( &B ); mbedtls_mpi_init( &N ); mbedtls_mpi_init( &X4 ); /* expected result, sizeof(mbedtls_mpi_uint) == 4 */ mbedtls_mpi_init( &X8 ); /* expected result, sizeof(mbedtls_mpi_uint) == 8 */ mbedtls_mpi_init( &T ); mbedtls_mpi_init( &R ); /* for the result */ TEST_EQUAL( 0, mbedtls_test_read_mpi( &A, input_A ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &B, input_B ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &N, input_N ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &X4, input_X4 ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &X8, input_X8 ) ); mbedtls_mpi *X = ( sizeof(mbedtls_mpi_uint) == 4 ) ? &X4 : &X8; int limbs_AN = ( sizeof(mbedtls_mpi_uint) == 4 ) ? limbs_AN4 : limbs_AN8; int limbs_B = ( sizeof(mbedtls_mpi_uint) == 4 ) ? limbs_B4 : limbs_B8; TEST_LE_U( A.n, (size_t)limbs_AN ); TEST_LE_U( X->n, (size_t)limbs_AN ); TEST_LE_U( B.n, (size_t)limbs_B ); TEST_LE_U( limbs_B, limbs_AN ); /* All of the inputs are +ve (or zero) */ TEST_EQUAL( 1, A.s ); TEST_EQUAL( 1, B.s ); TEST_EQUAL( 1, N.s ); TEST_EQUAL( 1, X->s ); TEST_EQUAL( 0, mbedtls_mpi_grow( &A, limbs_AN ) ); TEST_EQUAL( 0, mbedtls_mpi_grow( &N, limbs_AN ) ); TEST_EQUAL( 0, mbedtls_mpi_grow( X, limbs_AN ) ); TEST_EQUAL( 0, mbedtls_mpi_grow( &B, limbs_B ) ); size_t working_limbs = mbedtls_mpi_core_montmul_working_limbs( limbs_AN ); TEST_EQUAL( working_limbs, limbs_AN * 2 + 1 ); TEST_EQUAL( 0, mbedtls_mpi_grow( &T, working_limbs ) ); /* Calculate the Montgomery constant (this is unit tested separately) */ mbedtls_mpi_uint mm = mbedtls_mpi_core_montmul_init( N.p ); TEST_EQUAL( 0, mbedtls_mpi_grow( &R, limbs_AN ) ); /* ensure it's got the right number of limbs */ mbedtls_mpi_core_montmul( R.p, A.p, B.p, B.n, N.p, N.n, mm, T.p ); size_t bytes = N.n * sizeof(mbedtls_mpi_uint); ASSERT_COMPARE( R.p, bytes, X->p, bytes ); /* The output (R, above) may be aliased to A - use R to save the value of A */ memcpy( R.p, A.p, bytes ); mbedtls_mpi_core_montmul( A.p, A.p, B.p, B.n, N.p, N.n, mm, T.p ); ASSERT_COMPARE( A.p, bytes, X->p, bytes ); memcpy( A.p, R.p, bytes ); /* restore A */ /* The output may be aliased to N - use R to save the value of N */ memcpy( R.p, N.p, bytes ); mbedtls_mpi_core_montmul( N.p, A.p, B.p, B.n, N.p, N.n, mm, T.p ); ASSERT_COMPARE( N.p, bytes, X->p, bytes ); memcpy( N.p, R.p, bytes ); if (limbs_AN == limbs_B) { /* Test when A aliased to B (requires A == B on input values) */ if ( memcmp( A.p, B.p, bytes ) == 0 ) { /* Test with A aliased to B and output, since this is permitted - * don't bother with yet another test with only A and B aliased */ mbedtls_mpi_core_montmul( B.p, B.p, B.p, B.n, N.p, N.n, mm, T.p ); ASSERT_COMPARE( B.p, bytes, X->p, bytes ); memcpy( B.p, A.p, bytes ); /* restore B from equal value A */ } /* The output may be aliased to B - last test, so we don't save B */ mbedtls_mpi_core_montmul( B.p, A.p, B.p, B.n, N.p, N.n, mm, T.p ); ASSERT_COMPARE( B.p, bytes, X->p, bytes ); } exit: mbedtls_mpi_free( &A ); mbedtls_mpi_free( &B ); mbedtls_mpi_free( &N ); mbedtls_mpi_free( &X4 ); mbedtls_mpi_free( &X8 ); mbedtls_mpi_free( &T ); mbedtls_mpi_free( &R ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_get_mont_r2_unsafe_neg( ) { mbedtls_mpi N, RR; mbedtls_mpi_init( &N ); mbedtls_mpi_init( &RR ); const char * n = "7ffffffffffffff1"; /* Test for zero divisor */ TEST_EQUAL( MBEDTLS_ERR_MPI_DIVISION_BY_ZERO, mbedtls_mpi_core_get_mont_r2_unsafe( &RR, &N ) ); /* Test for negative input */ TEST_EQUAL( 0, mbedtls_test_read_mpi( &N, n ) ); N.s = -1; TEST_EQUAL( MBEDTLS_ERR_MPI_NEGATIVE_VALUE, mbedtls_mpi_core_get_mont_r2_unsafe( &RR, &N ) ); N.s = 1; exit: mbedtls_mpi_free( &N ); mbedtls_mpi_free( &RR ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_get_mont_r2_unsafe( char * input_N, char * input_RR_X4, char * input_RR_X8 ) { mbedtls_mpi N, RR, RR_REF; /* Select the appropriate output */ char * input_rr = ( sizeof(mbedtls_mpi_uint) == 4 ) ? input_RR_X4: input_RR_X8; mbedtls_mpi_init( &N ); mbedtls_mpi_init( &RR ); mbedtls_mpi_init( &RR_REF ); /* Read inputs */ TEST_EQUAL( 0, mbedtls_test_read_mpi( &N, input_N ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi( &RR_REF, input_rr ) ); /* All of the inputs are +ve (or zero) */ TEST_EQUAL( 1, N.s ); TEST_EQUAL( 1, RR_REF.s ); /* Test valid input */ TEST_EQUAL( 0, mbedtls_mpi_core_get_mont_r2_unsafe( &RR, &N ) ); /* Test that the moduli is odd */ TEST_EQUAL( N.p[0] ^ 1, N.p[0] - 1 ); /* Output is +ve (or zero) */ TEST_EQUAL( 1, RR_REF.s ); /* rr is updated to a valid pointer */ TEST_ASSERT( RR.p != NULL ); /* Calculated rr matches expected value */ TEST_ASSERT( mbedtls_mpi_cmp_mpi( &RR, &RR_REF ) == 0 ); exit: mbedtls_mpi_free( &N ); mbedtls_mpi_free( &RR ); mbedtls_mpi_free( &RR_REF ); } /* END_CASE */ /* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS */ void mpi_core_ct_uint_table_lookup( int bitlen, int window_size ) { size_t limbs = BITS_TO_LIMBS( bitlen ); size_t count = ( (size_t) 1 ) << window_size; mbedtls_mpi_uint *table = NULL; mbedtls_mpi_uint *dest = NULL; ASSERT_ALLOC( table, limbs * count ); ASSERT_ALLOC( dest, limbs ); /* * Fill the table with a unique counter so that differences are easily * detected. (And have their relationship to the index relatively non-trivial just * to be sure.) */ for( size_t i = 0; i < count * limbs; i++ ) { table[i] = ~i - 1; } for( size_t i = 0; i < count; i++ ) { mbedtls_mpi_uint *current = table + i * limbs; memset( dest, 0x00, limbs * sizeof( *dest ) ); /* * We shouldn't leak anything through timing. * We need to set these in every loop as we need to make the loop * variable public for the loop head and the buffers for comparison. */ TEST_CF_SECRET( &i, sizeof( i ) ); TEST_CF_SECRET( dest, limbs * sizeof( *dest ) ); TEST_CF_SECRET( table, count * limbs * sizeof( *table ) ); mbedtls_mpi_core_ct_uint_table_lookup( dest, table, limbs, count, i ); TEST_CF_PUBLIC( dest, limbs * sizeof( *dest ) ); TEST_CF_PUBLIC( table, count * limbs * sizeof( *table ) ); ASSERT_COMPARE( dest, limbs * sizeof( *dest ), current, limbs * sizeof( *current ) ); TEST_CF_PUBLIC( &i, sizeof( i ) ); } exit: mbedtls_free(table); mbedtls_free(dest); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_fill_random( int wanted_bytes_arg, int extra_rng_bytes, int extra_limbs, int before, int expected_ret ) { size_t wanted_bytes = wanted_bytes_arg; mbedtls_mpi_uint *X = NULL; size_t X_limbs = CHARS_TO_LIMBS( wanted_bytes ) + extra_limbs; size_t rng_bytes = wanted_bytes + extra_rng_bytes; unsigned char *rnd_data = NULL; mbedtls_test_rnd_buf_info rnd_info = {NULL, rng_bytes, NULL, NULL}; int ret; /* Prepare an RNG with known output, limited to rng_bytes. */ ASSERT_ALLOC( rnd_data, rng_bytes ); TEST_EQUAL( 0, mbedtls_test_rnd_std_rand( NULL, rnd_data, rng_bytes ) ); rnd_info.buf = rnd_data; /* Allocate an MPI with room for wanted_bytes plus extra_limbs. * extra_limbs may be negative but the total limb count must be positive. * Fill the MPI with the byte value in before. */ TEST_LE_U( 1, X_limbs ); ASSERT_ALLOC( X, X_limbs ); memset( X, before, X_limbs * sizeof( *X ) ); ret = mbedtls_mpi_core_fill_random( X, X_limbs, wanted_bytes, mbedtls_test_rnd_buffer_rand, &rnd_info ); TEST_EQUAL( expected_ret, ret ); if( expected_ret == 0 ) { /* mbedtls_mpi_core_fill_random is documented to use bytes from the * RNG as a big-endian representation of the number. We used an RNG * with known output, so check that the output contains the * expected value. Bytes above wanted_bytes must be zero. */ for( size_t i = 0; i < wanted_bytes; i++ ) { mbedtls_test_set_step( i ); TEST_EQUAL( GET_BYTE( X, i ), rnd_data[wanted_bytes - 1 - i] ); } for( size_t i = wanted_bytes; i < X_limbs * ciL; i++ ) { mbedtls_test_set_step( i ); TEST_EQUAL( GET_BYTE( X, i ), 0 ); } } exit: mbedtls_free( rnd_data ); mbedtls_free( X ); } /* END_CASE */ /* BEGIN MERGE SLOT 1 */ /* BEGIN_CASE */ void mpi_core_exp_mod( char * input_N, char * input_A, char * input_E, char * input_X ) { mbedtls_mpi_uint *A = NULL; mbedtls_mpi_uint *E = NULL; mbedtls_mpi_uint *N = NULL; mbedtls_mpi_uint *X = NULL; size_t A_limbs, E_limbs, N_limbs, X_limbs; const mbedtls_mpi_uint *R2 = NULL; mbedtls_mpi_uint *Y = NULL; mbedtls_mpi_uint *T = NULL; /* Legacy MPIs for computing R2 */ mbedtls_mpi N_mpi; mbedtls_mpi_init( &N_mpi ); mbedtls_mpi R2_mpi; mbedtls_mpi_init( &R2_mpi ); TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &A, &A_limbs, input_A ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &E, &E_limbs, input_E ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &N, &N_limbs, input_N ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &X, &X_limbs, input_X ) ); ASSERT_ALLOC( Y, N_limbs ); TEST_EQUAL( A_limbs, N_limbs ); TEST_EQUAL( X_limbs, N_limbs ); TEST_EQUAL( 0, mbedtls_mpi_grow( &N_mpi, N_limbs ) ); memcpy( N_mpi.p, N, N_limbs * sizeof( *N ) ); N_mpi.n = N_limbs; TEST_EQUAL( 0, mbedtls_mpi_core_get_mont_r2_unsafe( &R2_mpi, &N_mpi ) ); TEST_EQUAL( 0, mbedtls_mpi_grow( &R2_mpi, N_limbs ) ); R2 = R2_mpi.p; size_t working_limbs = mbedtls_mpi_core_exp_mod_working_limbs( N_limbs, E_limbs ); /* No point exactly duplicating the code in mbedtls_mpi_core_exp_mod_working_limbs() * to see if the output is correct, but we can check that it's in a * reasonable range. The current calculation works out as * `1 + N_limbs * (welem + 3)`, where welem is the number of elements in * the window (1 << 1 up to 1 << 6). */ size_t min_expected_working_limbs = 1 + N_limbs * 4; size_t max_expected_working_limbs = 1 + N_limbs * 67; TEST_LE_U( min_expected_working_limbs, working_limbs ); TEST_LE_U( working_limbs, max_expected_working_limbs ); /* Should also be at least mbedtls_mpi_core_montmul_working_limbs() */ TEST_LE_U( mbedtls_mpi_core_montmul_working_limbs( N_limbs ), working_limbs ); ASSERT_ALLOC( T, working_limbs ); mbedtls_mpi_core_exp_mod( Y, A, N, N_limbs, E, E_limbs, R2, T ); TEST_EQUAL( 0, memcmp( X, Y, N_limbs * sizeof( mbedtls_mpi_uint ) ) ); /* Check when output aliased to input */ mbedtls_mpi_core_exp_mod( A, A, N, N_limbs, E, E_limbs, R2, T ); TEST_EQUAL( 0, memcmp( X, A, N_limbs * sizeof( mbedtls_mpi_uint ) ) ); exit: mbedtls_free( T ); mbedtls_free( A ); mbedtls_free( E ); mbedtls_free( N ); mbedtls_free( X ); mbedtls_free( Y ); mbedtls_mpi_free( &N_mpi ); mbedtls_mpi_free( &R2_mpi ); // R2 doesn't need to be freed as it is only aliasing R2_mpi } /* END_CASE */ /* END MERGE SLOT 1 */ /* BEGIN MERGE SLOT 2 */ /* END MERGE SLOT 2 */ /* BEGIN MERGE SLOT 3 */ /* BEGIN_CASE */ void mpi_core_sub_int( char * input_A, char * input_B, char * input_X, int borrow ) { /* We are testing A - b, where A is an MPI and b is a scalar, expecting * result X with borrow borrow. However, for ease of handling we encode b * as a 1-limb MPI (B) in the .data file. */ mbedtls_mpi_uint *A = NULL; mbedtls_mpi_uint *B = NULL; mbedtls_mpi_uint *X = NULL; mbedtls_mpi_uint *R = NULL; size_t A_limbs, B_limbs, X_limbs; TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &A, &A_limbs, input_A ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &B, &B_limbs, input_B ) ); TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &X, &X_limbs, input_X ) ); /* The MPI encoding of scalar b must be only 1 limb */ TEST_EQUAL( B_limbs, 1 ); /* The subtraction is fixed-width, so A and X must have the same number of limbs */ TEST_EQUAL( A_limbs, X_limbs ); size_t limbs = A_limbs; ASSERT_ALLOC( R, limbs ); #define TEST_COMPARE_CORE_MPIS( A, B, limbs ) \ ASSERT_COMPARE( A, (limbs) * sizeof(mbedtls_mpi_uint), B, (limbs) * sizeof(mbedtls_mpi_uint) ) /* 1. R = A - b. Result and borrow should be correct */ TEST_EQUAL( mbedtls_mpi_core_sub_int( R, A, B[0], limbs ), borrow ); TEST_COMPARE_CORE_MPIS( R, X, limbs ); /* 2. A = A - b. Result and borrow should be correct */ TEST_EQUAL( mbedtls_mpi_core_sub_int( A, A, B[0], limbs ), borrow ); TEST_COMPARE_CORE_MPIS( A, X, limbs ); exit: mbedtls_free( A ); mbedtls_free( B ); mbedtls_free( X ); mbedtls_free( R ); } /* END_CASE */ /* BEGIN_CASE */ void mpi_core_check_zero_ct( char *input_X, int expected_is_zero ) { mbedtls_mpi_uint *X = NULL; size_t X_limbs; TEST_EQUAL( 0, mbedtls_test_read_mpi_core( &X, &X_limbs, input_X ) ); TEST_CF_SECRET( X, X_limbs * sizeof( mbedtls_mpi_uint ) ); mbedtls_mpi_uint check = mbedtls_mpi_core_check_zero_ct( X, X_limbs ); int is_zero = (check == 0); TEST_EQUAL( is_zero, expected_is_zero ); exit: mbedtls_free( X ); } /* END_CASE */ /* END MERGE SLOT 3 */ /* BEGIN MERGE SLOT 4 */ /* END MERGE SLOT 4 */ /* BEGIN MERGE SLOT 5 */ /* END MERGE SLOT 5 */ /* BEGIN MERGE SLOT 6 */ /* END MERGE SLOT 6 */ /* BEGIN MERGE SLOT 7 */ /* END MERGE SLOT 7 */ /* BEGIN MERGE SLOT 8 */ /* END MERGE SLOT 8 */ /* BEGIN MERGE SLOT 9 */ /* END MERGE SLOT 9 */ /* BEGIN MERGE SLOT 10 */ /* END MERGE SLOT 10 */