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ecp_curves: Added unit-tests for secp224k1
This patch introduces basic unit-testing for the `ecp_mod_p224k1()`. The method is exposed through the ecp_invasive interface, and the standard testing data is being provided by the python framework. Signed-off-by: Minos Galanakis <minos.galanakis@arm.com>
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@ -4612,7 +4612,8 @@ MBEDTLS_STATIC_TESTABLE
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int mbedtls_ecp_mod_p192k1(mbedtls_mpi *);
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#endif
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#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
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static int ecp_mod_p224k1(mbedtls_mpi *);
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MBEDTLS_STATIC_TESTABLE
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int ecp_mod_p224k1(mbedtls_mpi *);
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#endif
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#if defined(MBEDTLS_ECP_DP_SECP256K1_ENABLED)
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static int ecp_mod_p256k1(mbedtls_mpi *);
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@ -5628,7 +5629,8 @@ int mbedtls_ecp_mod_p192k1(mbedtls_mpi *N)
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* Fast quasi-reduction modulo p224k1 = 2^224 - R,
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* with R = 2^32 + 2^12 + 2^11 + 2^9 + 2^7 + 2^4 + 2 + 1 = 0x0100001A93
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*/
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static int ecp_mod_p224k1(mbedtls_mpi *N)
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MBEDTLS_STATIC_TESTABLE
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int ecp_mod_p224k1(mbedtls_mpi *N)
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{
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static mbedtls_mpi_uint Rp[] = {
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MBEDTLS_BYTES_TO_T_UINT_8(0x93, 0x1A, 0x00, 0x00, 0x01, 0x00, 0x00,
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@ -179,6 +179,12 @@ MBEDTLS_STATIC_TESTABLE
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int mbedtls_ecp_mod_p192k1(mbedtls_mpi *N);
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#endif /* MBEDTLS_ECP_DP_SECP192K1_ENABLED */
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#if defined(MBEDTLS_ECP_DP_SECP224K1_ENABLED)
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MBEDTLS_STATIC_TESTABLE
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int ecp_mod_p224k1(mbedtls_mpi *N);
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#endif /* MBEDTLS_ECP_DP_SECP224K1_ENABLED */
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/** Initialise a modulus with hard-coded const curve data.
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*
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@ -552,3 +552,68 @@ class EcpP192K1Raw(bignum_common.ModOperationCommon,
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@property
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def is_valid(self) -> bool:
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return True
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class EcpP224K1Raw(bignum_common.ModOperationCommon,
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EcpTarget):
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"""Test cases for ECP P224 fast reduction."""
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symbol = "-"
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test_function = "ecp_mod_p224k1"
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test_name = "ecp_mod_p224k1"
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input_style = "fixed"
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arity = 1
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dependencies = ["MBEDTLS_ECP_DP_SECP224K1_ENABLED"]
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moduli = ["fffffffffffffffffffffffffffffffffffffffffffffffeffffe56d"] # type: List[str]
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input_values = [
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"0", "1",
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# Modulus - 1
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"fffffffffffffffffffffffffffffffffffffffffffffffeffffe56c",
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# Modulus + 1
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"fffffffffffffffffffffffffffffffffffffffffffffffeffffe56e",
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# 2^224 - 1
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"ffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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# Maximum canonical P224 multiplication result
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("fffffffffffffffffffffffffffffffffffffffffffffffdffffcad8"
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"00000000000000000000000000000000000000010000352802c26590"),
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# First 8 number generated by random.getrandbits(448) - seed(2,2)
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("da94e3e8ab73738fcf1822ffbc6887782b491044d5e341245c6e4337"
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"15ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
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("cdbd47d364be8049a372db8f6e405d93ffed9235288bc781ae662675"
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"94c9c9500925e4749b575bd13653f8dd9b1f282e4067c3584ee207f8"),
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("defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2ef8acd12"
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"8b4f2fc15f3f57ebf30b94fa82523e86feac7eb7dc38f519b91751da"),
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("2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a6"
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"6148a86fe8624fab5186ee32ee8d7ee9770348a05d300cb90706a045"),
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("8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0829a48d4"
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"22fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"),
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("97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561867e5e15"
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"bc01bfce6a27e0dfcbf8754472154e76e4c11ab2fec3f6b32e8d4b8a"),
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("a7a83ee0761ebfd2bd143fa9b714210c665d7435c1066932f4767f26"
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"294365b2721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"),
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("74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e"
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"80371eb97f81375eecc1cb6347733e847d718d733ff98ff387c56473"),
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# Next 2 number generated by random.getrandbits(224)
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("eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"),
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("f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f258ebdbfe3"),
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]
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@property
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def arg_a(self) -> str:
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hex_digits = bignum_common.hex_digits_for_limb(448 // self.bits_in_limb, self.bits_in_limb)
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return super().format_arg('{:x}'.format(self.int_a)).zfill(hex_digits)
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def result(self) -> List[str]:
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result = self.int_a % self.int_n
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return [self.format_result(result)]
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@property
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def is_valid(self) -> bool:
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return True
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@ -1394,6 +1394,50 @@ exit:
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}
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/* END_CASE */
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/* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS:MBEDTLS_ECP_DP_SECP224K1_ENABLED */
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void ecp_mod_p224k1(char *input_N,
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char *input_X,
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char *result)
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{
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mbedtls_mpi X;
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mbedtls_mpi_uint *N = NULL;
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mbedtls_mpi_uint *res = NULL;
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size_t limbs_N;
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size_t limbs_res;
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mbedtls_mpi_mod_modulus m;
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mbedtls_mpi_init(&X);
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mbedtls_mpi_mod_modulus_init(&m);
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TEST_EQUAL(mbedtls_test_read_mpi(&X, input_X), 0);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&N, &limbs_N, input_N), 0);
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TEST_EQUAL(mbedtls_test_read_mpi_core(&res, &limbs_res, result), 0);
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size_t limbs = limbs_N;
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size_t bytes = limbs * sizeof(mbedtls_mpi_uint);
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TEST_EQUAL(X.s, 1);
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TEST_LE_U(X.n, 448 / biL);
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TEST_EQUAL(limbs_res, limbs);
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TEST_EQUAL(mbedtls_mpi_mod_modulus_setup(
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&m, N, limbs,
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MBEDTLS_MPI_MOD_REP_MONTGOMERY), 0);
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TEST_EQUAL(mbedtls_ecp_mod_p224k1(&X), 0);
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TEST_LE_U(mbedtls_mpi_core_bitlen(X.p, X.n), 224);
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mbedtls_mpi_mod_raw_fix_quasi_reduction(X.p, &m);
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ASSERT_COMPARE(X.p, bytes, res, bytes);
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exit:
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mbedtls_mpi_free(&X);
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mbedtls_free(res);
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mbedtls_mpi_mod_modulus_free(&m);
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mbedtls_free(N);
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}
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/* END_CASE */
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/* BEGIN_CASE depends_on:MBEDTLS_TEST_HOOKS */
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void ecp_mod_setup(char *input_A, int id, int ctype, int iret)
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{
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