Merge pull request #7351 from gabor-mezei-arm/7109_ecp_fast_reduction_testing
Test unlikely cases of ECC modular reduction
This commit is contained in:
Janos Follath
GitHub
commit
44c6694be7
2 changed files with 170 additions and 100 deletions
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@ -4897,7 +4897,7 @@ static inline void carry64(mbedtls_mpi_uint *dst, mbedtls_mpi_uint *carry)
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#define A(i) Np + (i) * WIDTH
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#define A(i) Np + (i) * WIDTH
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#define ADD(i) add64(p, A(i), &c)
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#define ADD(i) add64(p, A(i), &c)
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#define NEXT p += WIDTH; carry64(p, &c)
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#define NEXT p += WIDTH; carry64(p, &c)
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#define LAST p += WIDTH; *p = c; while (++p < end) *p = 0
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#define LAST p += WIDTH; do *p = 0; while (++p < end)
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#define RESET last_carry[0] = c; c = 0; p = Np
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#define RESET last_carry[0] = c; c = 0; p = Np
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#define ADD_LAST add64(p, last_carry, &c)
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#define ADD_LAST add64(p, last_carry, &c)
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@ -4934,13 +4934,23 @@ int mbedtls_ecp_mod_p192_raw(mbedtls_mpi_uint *Np, size_t Nn)
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RESET;
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RESET;
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/* Use the reduction for the carry as well:
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* 2^192 * last_carry = 2^64 * last_carry + last_carry mod P192
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* It can generate a carry. */
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ADD_LAST; NEXT; // A0 += last_carry
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ADD_LAST; NEXT; // A1 += last_carry
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// A2 += carry
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RESET;
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/* Use the reduction for the carry as well:
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/* Use the reduction for the carry as well:
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* 2^192 * last_carry = 2^64 * last_carry + last_carry mod P192
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* 2^192 * last_carry = 2^64 * last_carry + last_carry mod P192
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*/
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*/
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ADD_LAST; NEXT; // A0 += last_carry
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ADD_LAST; NEXT; // A0 += last_carry
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ADD_LAST; NEXT; // A1 += last_carry
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ADD_LAST; NEXT; // A1 += last_carry
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// A2 += carry
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LAST; // A2 += carry
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LAST;
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return 0;
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return 0;
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}
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}
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@ -28,7 +28,7 @@ class EcpTarget(test_data_generation.BaseTarget):
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class EcpP192R1Raw(bignum_common.ModOperationCommon,
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class EcpP192R1Raw(bignum_common.ModOperationCommon,
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EcpTarget):
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EcpTarget):
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"""Test cases for ecp quasi_reduction()."""
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"""Test cases for ECP P192 fast reduction."""
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symbol = "-"
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symbol = "-"
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test_function = "ecp_mod_p192_raw"
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test_function = "ecp_mod_p192_raw"
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test_name = "ecp_mod_p192_raw"
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test_name = "ecp_mod_p192_raw"
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@ -43,6 +43,24 @@ class EcpP192R1Raw(bignum_common.ModOperationCommon,
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# Modulus - 1
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# Modulus - 1
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"fffffffffffffffffffffffffffffffefffffffffffffffe",
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"fffffffffffffffffffffffffffffffefffffffffffffffe",
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# Modulus + 1
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"ffffffffffffffffffffffffffffffff0000000000000000",
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# 2^192 - 1
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"ffffffffffffffffffffffffffffffffffffffffffffffff",
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# Maximum canonical P192 multiplication result
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("fffffffffffffffffffffffffffffffdfffffffffffffffc"
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"000000000000000100000000000000040000000000000004"),
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# Generate an overflow during reduction
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("00000000000000000000000000000001ffffffffffffffff"
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"ffffffffffffffffffffffffffffffff0000000000000000"),
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# Generate an overflow during carry reduction
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("ffffffffffffffff00000000000000010000000000000000"
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"fffffffffffffffeffffffffffffffff0000000000000000"),
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# First 8 number generated by random.getrandbits(384) - seed(2,2)
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# First 8 number generated by random.getrandbits(384) - seed(2,2)
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("cf1822ffbc6887782b491044d5e341245c6e433715ba2bdd"
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("cf1822ffbc6887782b491044d5e341245c6e433715ba2bdd"
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"177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
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"177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
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@ -81,7 +99,7 @@ class EcpP192R1Raw(bignum_common.ModOperationCommon,
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class EcpP224R1Raw(bignum_common.ModOperationCommon,
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class EcpP224R1Raw(bignum_common.ModOperationCommon,
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EcpTarget):
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EcpTarget):
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"""Test cases for ecp quasi_reduction()."""
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"""Test cases for ECP P224 fast reduction."""
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symbol = "-"
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symbol = "-"
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test_function = "ecp_mod_p224_raw"
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test_function = "ecp_mod_p224_raw"
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test_name = "ecp_mod_p224_raw"
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test_name = "ecp_mod_p224_raw"
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@ -96,6 +114,12 @@ class EcpP224R1Raw(bignum_common.ModOperationCommon,
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# Modulus - 1
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# Modulus - 1
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"ffffffffffffffffffffffffffffffff000000000000000000000000",
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"ffffffffffffffffffffffffffffffff000000000000000000000000",
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# Modulus + 1
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"ffffffffffffffffffffffffffffffff000000000000000000000002",
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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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# Maximum canonical P224 multiplication result
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("fffffffffffffffffffffffffffffffe000000000000000000000000"
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("fffffffffffffffffffffffffffffffe000000000000000000000000"
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"00000001000000000000000000000000000000000000000000000000"),
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"00000001000000000000000000000000000000000000000000000000"),
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@ -145,100 +169,6 @@ class EcpP224R1Raw(bignum_common.ModOperationCommon,
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return True
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return True
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class EcpP384R1Raw(bignum_common.ModOperationCommon,
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EcpTarget):
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"""Test cases for ecp quasi_reduction modulo p384."""
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test_function = "ecp_mod_p384_raw"
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test_name = "ecp_mod_p384_raw"
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input_style = "fixed"
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arity = 1
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moduli = [("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
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"fffffeffffffff0000000000000000ffffffff")
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] # 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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("fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffef"
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"fffffff0000000000000000fffffffe"),
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# Maximum canonical P384 multiplication result
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("ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
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"fdfffffffe0000000000000001fffffffc0000000000000000000000000000000"
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"10000000200000000fffffffe000000020000000400000000fffffffc00000004"),
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# Testing with overflow in A(12) + A(21) + A(20);
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("497811378624857a2c2af60d70583376545484cfae5c812fe2999fc1abb51d18b"
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"559e8ca3b50aaf263fdf8f24bdfb98fffffffff20e65bf9099e4e73a5e8b517cf"
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"4fbeb8fd1750fdae6d43f2e53f82d5ffffffffffffffffcc6f1e06111c62e0"),
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# Testing with underflow in A(13) + A(22) + A(23) - A(12) - A(20);
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("dfdd25e96777406b3c04b8c7b406f5fcf287e1e576003a092852a6fbe517f2712"
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"b68abef41dbd35183a0614fb7222606ffffffff84396eee542f18a9189d94396c"
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"784059c17a9f18f807214ef32f2f10ffffffff8a77fac20000000000000000"),
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# Testing with overflow in A(23) + A(20) + A(19) - A(22);
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("783753f8a5afba6c1862eead1deb2fcdd907272be3ffd18542b24a71ee8b26ca"
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"b0aa33513610ff973042bbe1637cc9fc99ad36c7f703514572cf4f5c3044469a"
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"8f5be6312c19e5d3f8fc1ac6ffffffffffffffff8c86252400000000ffffffff"),
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# Testing with underflow in A(23) + A(20) + A(19) - A(22);
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("65e1d2362fce922663b7fd517586e88842a9b4bd092e93e6251c9c69f278cbf8"
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"285d99ae3b53da5ba36e56701e2b17c225f1239556c5f00117fa140218b46ebd8"
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"e34f50d0018701fa8a0a5cc00000000000000004410bcb4ffffffff00000000"),
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# Testing the second round of carry reduction
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("000000000000000000000000ffffffffffffffffffffffffffffffffffffffff"
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"ffffffffffffffff00000000000000000000000000000000ffffffff00000000"
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"000000000000000100000000000000000000000000000000ffffffff00000001"),
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# First 8 number generated by random.getrandbits(768) - seed(2,2)
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("ffed9235288bc781ae66267594c9c9500925e4749b575bd13653f8dd9b1f282e"
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"4067c3584ee207f8da94e3e8ab73738fcf1822ffbc6887782b491044d5e34124"
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"5c6e433715ba2bdd177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
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("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045defc044a09325626"
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"e6b58de744ab6cce80877b6f71e1f6d2ef8acd128b4f2fc15f3f57ebf30b94fa"
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"82523e86feac7eb7dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"),
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("fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f15c14bc4a829e07b0"
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"829a48d422fe99a22c70501e533c91352d3d854e061b90303b08c6e33c729578"
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"2d6c797f8f7d9b782a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"),
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("bd143fa9b714210c665d7435c1066932f4767f26294365b2721dea3bf63f23d0"
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"dbe53fcafb2147df5ca495fa5a91c89b97eeab64ca2ce6bc5d3fd983c34c769f"
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"e89204e2e8168561867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"),
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("8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4e73695c3e652c71a"
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"74667bffe202849da9643a295a9ac6decbd4d3e2d4dec9ef83f0be4e80371eb9"
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"7f81375eecc1cb6347733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"),
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("d4c0dca8b4c9e755cc9c3adcf515a8234da4daeb4f3f87777ad1f45ae9500ec9"
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"c5e2486c44a4a8f69dc8db48e86ec9c6e06f291b2a838af8d5c44a4eb3172062"
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"d08f1bb2531d6460f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25"),
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("227eeb7b9d7d01f5769da05d205bbfcc8c69069134bccd3e1cf4f589f8e4ce0a"
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"f29d115ef24bd625dd961e6830b54fa7d28f93435339774bb1e386c4fd5079e6"
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"81b8f5896838b769da59b74a6c3181c81e220df848b1df78feb994a81167346"),
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("d322a7353ead4efe440e2b4fda9c025a22f1a83185b98f5fc11e60de1b343f52"
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"ea748db9e020307aaeb6db2c3a038a709779ac1f45e9dd320c855fdfa7251af0"
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"930cdbd30f0ad2a81b2d19a2beaa14a7ff3fe32a30ffc4eed0a7bd04e85bfcdd"),
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# Next 2 number generated by random.getrandbits(384)
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("5c3747465cc36c270e8a35b10828d569c268a20eb78ac332e5e138e26c4454b9"
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"0f756132e16dce72f18e859835e1f291"),
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("eb2b5693babb7fbb0a76c196067cfdcb11457d9cf45e2fa01d7f427515392480"
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"0600571fac3a5b263fdf57cd2c006497")
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]
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@property
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def arg_a(self) -> str:
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return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.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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class EcpP256R1Raw(bignum_common.ModOperationCommon,
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class EcpP256R1Raw(bignum_common.ModOperationCommon,
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EcpTarget):
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EcpTarget):
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"""Test cases for ECP P256 fast reduction."""
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"""Test cases for ECP P256 fast reduction."""
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@ -256,6 +186,12 @@ class EcpP256R1Raw(bignum_common.ModOperationCommon,
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# Modulus - 1
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# Modulus - 1
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"ffffffff00000001000000000000000000000000fffffffffffffffffffffffe",
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"ffffffff00000001000000000000000000000000fffffffffffffffffffffffe",
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# Modulus + 1
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"ffffffff00000001000000000000000000000001000000000000000000000000",
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# 2^256 - 1
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"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff",
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# Maximum canonical P256 multiplication result
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# Maximum canonical P256 multiplication result
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("fffffffe00000002fffffffe0000000100000001fffffffe00000001fffffffc"
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("fffffffe00000002fffffffe0000000100000001fffffffe00000001fffffffc"
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"00000003fffffffcfffffffffffffffffffffffc000000000000000000000004"),
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"00000003fffffffcfffffffffffffffffffffffc000000000000000000000004"),
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@ -312,9 +248,125 @@ class EcpP256R1Raw(bignum_common.ModOperationCommon,
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return True
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return True
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class EcpP384R1Raw(bignum_common.ModOperationCommon,
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EcpTarget):
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"""Test cases for ECP P384 fast reduction."""
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test_function = "ecp_mod_p384_raw"
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test_name = "ecp_mod_p384_raw"
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input_style = "fixed"
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arity = 1
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moduli = [("ffffffffffffffffffffffffffffffffffffffffffffffff"
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"fffffffffffffffeffffffff0000000000000000ffffffff")
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] # 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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("ffffffffffffffffffffffffffffffffffffffffffffffff"
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"fffffffffffffffeffffffff0000000000000000fffffffe"),
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# Modulus + 1
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("ffffffffffffffffffffffffffffffffffffffffffffffff"
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"fffffffffffffffeffffffff000000000000000100000000"),
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# 2^384 - 1
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("ffffffffffffffffffffffffffffffffffffffffffffffff"
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"ffffffffffffffffffffffffffffffffffffffffffffffff"),
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# Maximum canonical P384 multiplication result
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("ffffffffffffffffffffffffffffffffffffffffffffffff"
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"fffffffffffffffdfffffffe0000000000000001fffffffc"
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"000000000000000000000000000000010000000200000000"
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"fffffffe000000020000000400000000fffffffc00000004"),
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# Testing with overflow in A(12) + A(21) + A(20);
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("497811378624857a2c2af60d70583376545484cfae5c812f"
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"e2999fc1abb51d18b559e8ca3b50aaf263fdf8f24bdfb98f"
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"ffffffff20e65bf9099e4e73a5e8b517cf4fbeb8fd1750fd"
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"ae6d43f2e53f82d5ffffffffffffffffcc6f1e06111c62e0"),
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# Testing with underflow in A(13) + A(22) + A(23) - A(12) - A(20);
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("dfdd25e96777406b3c04b8c7b406f5fcf287e1e576003a09"
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"2852a6fbe517f2712b68abef41dbd35183a0614fb7222606"
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"ffffffff84396eee542f18a9189d94396c784059c17a9f18"
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"f807214ef32f2f10ffffffff8a77fac20000000000000000"),
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# Testing with overflow in A(23) + A(20) + A(19) - A(22);
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("783753f8a5afba6c1862eead1deb2fcdd907272be3ffd185"
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"42b24a71ee8b26cab0aa33513610ff973042bbe1637cc9fc"
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"99ad36c7f703514572cf4f5c3044469a8f5be6312c19e5d3"
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"f8fc1ac6ffffffffffffffff8c86252400000000ffffffff"),
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# Testing with underflow in A(23) + A(20) + A(19) - A(22);
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("65e1d2362fce922663b7fd517586e88842a9b4bd092e93e6"
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"251c9c69f278cbf8285d99ae3b53da5ba36e56701e2b17c2"
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"25f1239556c5f00117fa140218b46ebd8e34f50d0018701f"
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"a8a0a5cc00000000000000004410bcb4ffffffff00000000"),
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# Testing the second round of carry reduction
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("000000000000000000000000ffffffffffffffffffffffff"
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"ffffffffffffffffffffffffffffffff0000000000000000"
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"0000000000000000ffffffff000000000000000000000001"
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"00000000000000000000000000000000ffffffff00000001"),
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# First 8 number generated by random.getrandbits(768) - seed(2,2)
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("ffed9235288bc781ae66267594c9c9500925e4749b575bd1"
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"3653f8dd9b1f282e4067c3584ee207f8da94e3e8ab73738f"
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"cf1822ffbc6887782b491044d5e341245c6e433715ba2bdd"
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"177219d30e7a269fd95bafc8f2a4d27bdcf4bb99f4bea973"),
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||||||
|
("e8624fab5186ee32ee8d7ee9770348a05d300cb90706a045"
|
||||||
|
"defc044a09325626e6b58de744ab6cce80877b6f71e1f6d2"
|
||||||
|
"ef8acd128b4f2fc15f3f57ebf30b94fa82523e86feac7eb7"
|
||||||
|
"dc38f519b91751dacdbd47d364be8049a372db8f6e405d93"),
|
||||||
|
("fec3f6b32e8d4b8a8f54f8ceacaab39e83844b40ffa9b9f1"
|
||||||
|
"5c14bc4a829e07b0829a48d422fe99a22c70501e533c9135"
|
||||||
|
"2d3d854e061b90303b08c6e33c7295782d6c797f8f7d9b78"
|
||||||
|
"2a1be9cd8697bbd0e2520e33e44c50556c71c4a66148a86f"),
|
||||||
|
("bd143fa9b714210c665d7435c1066932f4767f26294365b2"
|
||||||
|
"721dea3bf63f23d0dbe53fcafb2147df5ca495fa5a91c89b"
|
||||||
|
"97eeab64ca2ce6bc5d3fd983c34c769fe89204e2e8168561"
|
||||||
|
"867e5e15bc01bfce6a27e0dfcbf8754472154e76e4c11ab2"),
|
||||||
|
("8ebdbfe3eb9ac688b9d39cca91551e8259cc60b17604e4b4"
|
||||||
|
"e73695c3e652c71a74667bffe202849da9643a295a9ac6de"
|
||||||
|
"cbd4d3e2d4dec9ef83f0be4e80371eb97f81375eecc1cb63"
|
||||||
|
"47733e847d718d733ff98ff387c56473a7a83ee0761ebfd2"),
|
||||||
|
("d4c0dca8b4c9e755cc9c3adcf515a8234da4daeb4f3f8777"
|
||||||
|
"7ad1f45ae9500ec9c5e2486c44a4a8f69dc8db48e86ec9c6"
|
||||||
|
"e06f291b2a838af8d5c44a4eb3172062d08f1bb2531d6460"
|
||||||
|
"f0caeef038c89b38a8acb5137c9260dc74e088a9b9492f25"),
|
||||||
|
("0227eeb7b9d7d01f5769da05d205bbfcc8c69069134bccd3"
|
||||||
|
"e1cf4f589f8e4ce0af29d115ef24bd625dd961e6830b54fa"
|
||||||
|
"7d28f93435339774bb1e386c4fd5079e681b8f5896838b76"
|
||||||
|
"9da59b74a6c3181c81e220df848b1df78feb994a81167346"),
|
||||||
|
("d322a7353ead4efe440e2b4fda9c025a22f1a83185b98f5f"
|
||||||
|
"c11e60de1b343f52ea748db9e020307aaeb6db2c3a038a70"
|
||||||
|
"9779ac1f45e9dd320c855fdfa7251af0930cdbd30f0ad2a8"
|
||||||
|
"1b2d19a2beaa14a7ff3fe32a30ffc4eed0a7bd04e85bfcdd"),
|
||||||
|
|
||||||
|
# Next 2 number generated by random.getrandbits(384)
|
||||||
|
("5c3747465cc36c270e8a35b10828d569c268a20eb78ac332"
|
||||||
|
"e5e138e26c4454b90f756132e16dce72f18e859835e1f291"),
|
||||||
|
("eb2b5693babb7fbb0a76c196067cfdcb11457d9cf45e2fa0"
|
||||||
|
"1d7f4275153924800600571fac3a5b263fdf57cd2c006497")
|
||||||
|
]
|
||||||
|
|
||||||
|
@property
|
||||||
|
def arg_a(self) -> str:
|
||||||
|
return super().format_arg('{:x}'.format(self.int_a)).zfill(2 * self.hex_digits)
|
||||||
|
|
||||||
|
def result(self) -> List[str]:
|
||||||
|
result = self.int_a % self.int_n
|
||||||
|
return [self.format_result(result)]
|
||||||
|
|
||||||
|
@property
|
||||||
|
def is_valid(self) -> bool:
|
||||||
|
return True
|
||||||
|
|
||||||
class EcpP521R1Raw(bignum_common.ModOperationCommon,
|
class EcpP521R1Raw(bignum_common.ModOperationCommon,
|
||||||
EcpTarget):
|
EcpTarget):
|
||||||
"""Test cases for ecp quasi_reduction()."""
|
"""Test cases for ECP P521 fast reduction."""
|
||||||
test_function = "ecp_mod_p521_raw"
|
test_function = "ecp_mod_p521_raw"
|
||||||
test_name = "ecp_mod_p521_raw"
|
test_name = "ecp_mod_p521_raw"
|
||||||
input_style = "arch_split"
|
input_style = "arch_split"
|
||||||
|
|
@ -327,7 +379,15 @@ class EcpP521R1Raw(bignum_common.ModOperationCommon,
|
||||||
input_values = [
|
input_values = [
|
||||||
"0", "1",
|
"0", "1",
|
||||||
|
|
||||||
# Corner case: maximum canonical P521 multiplication result
|
# Modulus - 1
|
||||||
|
("01ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||||
|
"fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe"),
|
||||||
|
|
||||||
|
# Modulus + 1
|
||||||
|
("020000000000000000000000000000000000000000000000000000000000000000"
|
||||||
|
"000000000000000000000000000000000000000000000000000000000000000000"),
|
||||||
|
|
||||||
|
# Maximum canonical P521 multiplication result
|
||||||
("0003ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
("0003ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||||
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
"ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff"
|
||||||
"fffff800"
|
"fffff800"
|
||||||
|
|
|
||||||
Loading…
Reference in a new issue