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133 commits

Author SHA1 Message Date
Gilles Peskine
b50e433b66 Test mbedtls_mpi_core_bitlen
Copy the test data for mbedtls_mpi_bitlen except for 0-length and negative cases.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2022-10-10 23:03:47 +02:00
Gilles Peskine
e943283f2f More mbedtls_mpi_bitlen test cases
* with leading zero limb
* with trailing zero limb
* negative

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2022-10-10 23:03:47 +02:00
Gilles Peskine
24baa81043 Improve mbedtls_mpi_bitlen test descriptions
Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2022-10-10 23:03:47 +02:00
Gilles Peskine
c5772a194e mbedtls_test_read_mpi_core: allow odd number of hex digits
Test functions must now take a char* argument rather than data_t*. This does
not affect existing test data.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2022-10-10 23:03:47 +02:00
Gilles Peskine
5bbdfce44c Streamline mbedtls_mpi_core_lt_ct unit test
Use mbedtls_test_read_mpi_core() to read the test data. Among other
benefits, X and Y are now allocated to their exact size, so analyzers (Asan,
Valgrind, Coverity, ...) have a chance of complaining if the tested function
overflows the buffer.

Remove TEST_CF_PUBLIC calls which are no longer necessary.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2022-09-30 18:53:04 +02:00
Tom Cosgrove
1b2947a614 Remove mbedtls_ prefix from bignum test cases
Signed-off-by: Tom Cosgrove <tom.cosgrove@arm.com>
2022-09-02 10:24:55 +01:00
Tom Cosgrove
f334d9622b Add unit tests for bignum_new.c:mbedtls_mpi_core_montmul()
These tests are also used to test the existing mpi_montmul() function (which
too is renamed with mbedtls_ prefix). Some of these are replays of captured
invocations during unit test runs. Others are generated.  They use a mixture
of primes and odd numbers for N, with four randomly-generated cases for each N.

The lines in the .data file were generated by the following script

```
    #!/usr/bin/env perl
    #
    # mpi-test-core-montmul.pl - generate MPI tests in Perl for mbedtls_mpi_core_montmul()
    #
    use strict;
    use warnings;
    use Math::BigInt;
    use sort 'stable';

    generate_tests();

    sub generate_tests {
        generate_mbedtls_mpi_core_montmul();
    }

    # XXX mbedtls_mpi_grow() and mbedtls_mpi_shrink() work in little-endian manner

    # \brief Montgomery multiplication: X = A * B * R^-1 mod N  (HAC 14.36)
    #
    # \param[out]     X      The destination MPI, as a big endian array of length \p n.
    #                        On successful completion, X contains the result of
    #                        the multiplication A * B * R^-1 mod N where
    #                        R = (2^ciL)^n.
    # \param[in]      A      Big endian presentation of first operand.
    #                        Must have exactly \p n limbs.
    # \param[in]      B      Big endian presentation of second operand.
    # \param[in]      B_len  The number of limbs in \p B.
    # \param[in]      N      Big endian presentation of the modulus.
    #                        This must be odd and have exactly \p n limbs.
    # \param[in]      n      The number of limbs in \p X, \p A, \p N.
    # \param          mm     The Montgomery constant for \p N: -N^-1 mod 2^ciL.
    #                        This can be calculated by `mbedtls_mpi_montg_init()`.
    # \param[in,out]  T      Temporary storage of size at least 2*n+1 limbs.
    #                        Its initial content is unused and
    #                        its final content is indeterminate.
    #
    # void mbedtls_mpi_core_montmul( mbedtls_mpi_uint *X,
    #                                const mbedtls_mpi_uint *A,
    #                                const mbedtls_mpi_uint *B, size_t B_len,
    #                                const mbedtls_mpi_uint *N, size_t n,
    #                                mbedtls_mpi_uint mm, mbedtls_mpi_uint *T );

    sub generate_mbedtls_mpi_core_montmul {

        my $sub_name = (caller(0))[3];      # e.g. main::generate_mbedtls_mpi_sub_mpi
        my ($ignore, $test_name) = split("main::generate_", $sub_name);

        my @cases = ();

        my @replay = (
            # [ limbsAN_4, limbsB_4, limbsAN_8, limbsB_8, hexA, hexB, hexN, hexExpected ]
            [ 2, 1, 1, 1, "19", "1", "1D", "18" ],
            [ 2, 1, 1, 1, "7", "1", "9", "1" ],
            [ 2, 1, 1, 1, "4", "1", "9", "7" ],
            #montmul:
            #A.n = 3
            #A.p = FFFE000000008004
            #      0000000000007FFC
            #      0000000000000000
            #B.n = 1
            #B.p = 0000000000000001
            #N.n = 3
            #N.p = 0000000000000001
            #      0000000000008000
            #      0000000000000000
            #mm = FFFFFFFFFFFFFFFF
            #res.n = 3
            #res.p = EFFF9FFF3FFF8001
            #        0000000000007FFF
            #        0000000000000000
            #[ "MBEDTLS_HAVE_INT32", 3, 1, 3, "7FFCFFFE000000008004", "1", "80000000000000000001", "2000C001800100000000" ],
            #[ "MBEDTLS_HAVE_INT64", 3, 1, 3, "7FFCFFFE000000008004", "1", "80000000000000000001", "7FFFEFFF9FFF3FFF8001" ],

            [ 12, 1, 6, 1, "3C246D0E059A93A266288A7718419EC741661B474C58C032C5EDAF92709402B07CC8C7CE0B781C641A1EA8DB2F4343", "1", "66A198186C18C10B2F5ED9B522752A9830B69916E535C8F047518A889A43A594B6BED27A168D31D4A52F88925AA8F5", "36E139AEA55215609D2816998ED020BBBD96C37890F65171D948E9BC7CBAA4D9325D24D6A3C12710F10A09FA08AB87" ],

            #A.n = 5
            #A.p = 340E918CE03C6211
            #      9888165CB75BFA1F
            #      FCCE74B999E470CA
            #      1E442976B0E63D64
            #      0000000000000000
            #B.n = 1
            #B.p = 0000000000000001
            #N.n = 4
            #N.p = 8054B3D124D0E561
            #      92A338655DCE4CA8
            #      E28581ECD892E0F5
            #      B3A119602EE213CD
            #mm = E41CFB909805815F
            #res.n = 5
            #res.p = 0E65383B59F8CA5B
            #        B103B17A2EEF84E6
            #        F23BC08FD0801C55
            #        38EB7749F4A5DA80
            #        0000000000000000
            [ 8, 1, 4, 1, "1E442976B0E63D64FCCE74B999E470CA9888165CB75BFA1F340E918CE03C6211", "1", "B3A119602EE213CDE28581ECD892E0F592A338655DCE4CA88054B3D124D0E561", "38EB7749F4A5DA80F23BC08FD0801C55B103B17A2EEF84E60E65383B59F8CA5B" ],

            #A.n = 12
            #A.p = 542306BCA7A2366E
            #      D2780B2B4968F8D8
            #      CBDFC696104353E4
            #      7776839B0AC9DB23
            #      B7E125BE407E7415
            #      D711917FD7537E13
            #      82392870D6D08F87
            #      D83ED5FA38560FFB
            #      9994B0FED1D2A8D3
            #      63C65413F57249F5
            #      007CF5AC97304E0B
            #      0000000000000000
            #B.n = 1
            #B.p = 0000000000000001
            #N.n = 11
            #N.p = E1AD22CEB7BA0123
            #      32B2A6AA42ADA923
            #      C56C62082912B661
            #      C6F0EAD752500A32
            #      DBC8D651793E93C9
            #      0B2F60D99CC1950C
            #      5B4CDCB5734C58F9
            #      09D3CB5BC5585472
            #      9A2C2BE12ED487A8
            #      BE09A8111926AAA3
            #      0284139EA19C139E
            #mm = C02E2164B293C975
            #res.n = 12
            #res.p = F6B14471839D8D31
            #        FF843ED3B17C44D7
            #        1C3D52C7CB9E0BA6
            #        82F3590C866BF9F8
            #        49C371DB2A4FB164
            #        964ECA2527A031ED
            #        FAACEC6982E0E5BE
            #        1F70C4CB2426AEE1
            #        2C92B02886267AB4
            #        0630B14113BEAD74
            #        01E4426A3D6C425F
            #        0000000000000000
            [ 22, 1, 11, 1, "7CF5AC97304E0B63C65413F57249F59994B0FED1D2A8D3D83ED5FA38560FFB82392870D6D08F87D711917FD7537E13B7E125BE407E74157776839B0AC9DB23CBDFC696104353E4D2780B2B4968F8D8542306BCA7A2366E", "1", "284139EA19C139EBE09A8111926AAA39A2C2BE12ED487A809D3CB5BC55854725B4CDCB5734C58F90B2F60D99CC1950CDBC8D651793E93C9C6F0EAD752500A32C56C62082912B66132B2A6AA42ADA923E1AD22CEB7BA0123", "1E4426A3D6C425F0630B14113BEAD742C92B02886267AB41F70C4CB2426AEE1FAACEC6982E0E5BE964ECA2527A031ED49C371DB2A4FB16482F3590C866BF9F81C3D52C7CB9E0BA6FF843ED3B17C44D7F6B14471839D8D31" ],
        );

        for my $c (@replay) {
            # For all of these, la4 = 2 * la8, so $xh4 == $xh8 (so we just have $xh)
            my ($la4, $lb4, $la8, $lb8, $ah, $bh, $nh, $xh) = @$c;    # limbs(A), limbs(B), limbs(N), (A, B, N, expected) hex

            my $a = Math::BigInt->from_hex($ah);
            my $b = Math::BigInt->from_hex($bh);
            my $n = Math::BigInt->from_hex($nh);

            my $desc = "$test_name #NUMBER (replay)";
            # mbedtls_mpi_core_montmul:mpiSize:limbs(A,N):limbs(B):<A>:<B>:<N>:<expected4>:<expected8>
            # (just repeat $xh, as la4 = 2 * la8, so $xh4 == $xh8)
            my $case = output($test_name, $la4, $lb4, $la8, $lb8, str($ah), str($bh), str($nh), str($xh), str($xh));

            push(@cases, [$case, $desc]);
        }

        # see mpi-modmul-gen.pl for the source of these test cases

        my @generate = (
            # [ hexN, hexA, hexB, info ]
            [ "3", "2", "2", "" ],
            [ "3", "1", "2", "" ],
            [ "3", "2", "1", "" ],
            [ "7", "6", "5", "" ],
            [ "7", "3", "4", "" ],
            [ "7", "1", "6", "" ],
            [ "7", "5", "6", "" ],
            [ "B", "3", "4", "" ],
            [ "B", "7", "4", "" ],
            [ "B", "9", "7", "" ],
            [ "B", "2", "a", "" ],
            [ "29", "25", "16", "(0x29 is prime)" ],
            [ "29", "8", "28", "" ],
            [ "29", "18", "21", "" ],
            [ "29", "15", "f", "" ],
            [ "FF", "e2", "ea", "" ],
            [ "FF", "43", "72", "" ],
            [ "FF", "d8", "70", "" ],
            [ "FF", "3c", "7c", "" ],
            [ "101", "99", "b9", "(0x101 is prime)" ],
            [ "101", "65", "b2", "" ],
            [ "101", "81", "32", "" ],
            [ "101", "51", "dd", "" ],
            [ "38B", "d5", "143", "(0x38B is prime)" ],
            [ "38B", "3d", "387", "" ],
            [ "38B", "160", "2e5", "" ],
            [ "38B", "10f", "137", "" ],
            [ "8003", "7dac", "25a", "(0x8003 is prime)" ],
            [ "8003", "6f1c", "3286", "" ],
            [ "8003", "59ed", "2f3f", "" ],
            [ "8003", "6893", "736d", "" ],
            [ "10001", "d199", "2832", "(0x10001 is prime)" ],
            [ "10001", "c3b2", "3e5b", "" ],
            [ "10001", "abe4", "214e", "" ],
            [ "10001", "4360", "a05d", "" ],
            [ "7F7F7", "3f5a1", "165b2", "" ],
            [ "7F7F7", "3bd29", "37863", "" ],
            [ "7F7F7", "60c47", "64819", "" ],
            [ "7F7F7", "16584", "12c49", "" ],
            [ "800009", "1ff03f", "610347", "(0x800009 is prime)" ],
            [ "800009", "340fd5", "19812e", "" ],
            [ "800009", "3fe2e8", "4d0dc7", "" ],
            [ "800009", "40356", "e6392", "" ],
            [ "100002B", "dd8a1d", "266c0e", "(0x100002B is prime)" ],
            [ "100002B", "3fa1cb", "847fd6", "" ],
            [ "100002B", "5f439d", "5c3196", "" ],
            [ "100002B", "18d645", "f72dc6", "" ],
            [ "37EEE9D", "20051ad", "37def6e", "(0x37EEE9D is prime)" ],
            [ "37EEE9D", "2ec140b", "3580dbf", "" ],
            [ "37EEE9D", "1d91b46", "190d4fc", "" ],
            [ "37EEE9D", "34e488d", "1224d24", "" ],
            [ "8000000B", "2a4fe2cb", "263466a9", "(0x8000000B is prime)" ],
            [ "8000000B", "5643fe94", "29a1aefa", "" ],
            [ "8000000B", "29633513", "7b007ac4", "" ],
            [ "8000000B", "2439cef5", "5c9d5a47", "" ],
            [ "8CD626B9", "4de3cfaa", "50dea178", "(0x8CD626B9 is prime)" ],
            [ "8CD626B9", "b8b8563", "10dbbbac", "" ],
            [ "8CD626B9", "4e8a6151", "5574ec19", "" ],
            [ "8CD626B9", "69224878", "309cfc23", "" ],
            [ "10000000F", "fb6f7fb6", "afb05423", "(0x10000000F is prime)" ],
            [ "10000000F", "8391a243", "26034dcd", "" ],
            [ "10000000F", "d26b98c", "14b2d6aa", "" ],
            [ "10000000F", "6b9f1371", "a21daf1d", "" ],
            [ "174876E7E9", "9f49435ad", "c8264ade8", "0x174876E7E9 is prime (dec) 99999999977" ],
            [ "174876E7E9", "c402da434", "1fb427acf", "" ],
            [ "174876E7E9", "f6ebc2bb1", "1096d39f2a", "" ],
            [ "174876E7E9", "153b7f7b6b", "878fda8ff", "" ],
            [ "8000000017", "2c1adbb8d6", "4384d2d3c6", "(0x8000000017 is prime)" ],
            [ "8000000017", "2e4f9cf5fb", "794f3443d9", "" ],
            [ "8000000017", "149e495582", "3802b8f7b7", "" ],
            [ "8000000017", "7b9d49df82", "69c68a442a", "" ],
            [ "864CB9076D", "683a134600", "6dd80ea9f6", "(0x864CB9076D is prime)" ],
            [ "864CB9076D", "13a870ff0d", "59b099694a", "" ],
            [ "864CB9076D", "37d06b0e63", "4d2147e46f", "" ],
            [ "864CB9076D", "661714f8f4", "22e55df507", "" ],
            [ "F7F7F7F7F7", "2f0a96363", "52693307b4", "" ],
            [ "F7F7F7F7F7", "3c85078e64", "f2275ecb6d", "" ],
            [ "F7F7F7F7F7", "352dae68d1", "707775b4c6", "" ],
            [ "F7F7F7F7F7", "37ae0f3e0b", "912113040f", "" ],
            [ "1000000000F", "6dada15e31", "f58ed9eff7", "(0x1000000000F is prime)" ],
            [ "1000000000F", "69627a7c89", "cfb5ebd13d", "" ],
            [ "1000000000F", "a5e1ad239b", "afc030c731", "" ],
            [ "1000000000F", "f1cc45f4c5", "c64ad607c8", "" ],
            [ "800000000005", "2ebad87d2e31", "4c72d90bca78", "(0x800000000005 is prime)" ],
            [ "800000000005", "a30b3cc50d", "29ac4fe59490", "" ],
            [ "800000000005", "33674e9647b4", "5ec7ee7e72d3", "" ],
            [ "800000000005", "3d956f474f61", "74070040257d", "" ],
            [ "800795D9BA47", "48348e3717d6", "43fcb4399571", "(0x800795D9BA47 is prime)" ],
            [ "800795D9BA47", "5234c03cc99b", "2f3cccb87803", "" ],
            [ "800795D9BA47", "3ed13db194ab", "44b8f4ba7030", "" ],
            [ "800795D9BA47", "1c11e843bfdb", "95bd1b47b08", "" ],
            [ "1000000000015", "a81d11cb81fd", "1e5753a3f33d", "(0x1000000000015 is prime)" ],
            [ "1000000000015", "688c4db99232", "36fc0cf7ed", "" ],
            [ "1000000000015", "f0720cc07e07", "fc76140ed903", "" ],
            [ "1000000000015", "2ec61f8d17d1", "d270c85e36d2", "" ],
            [ "100000000000051", "6a24cd3ab63820", "ed4aad55e5e348", "(0x100000000000051 is prime)" ],
            [ "100000000000051", "e680c160d3b248", "31e0d8840ed510", "" ],
            [ "100000000000051", "a80637e9aebc38", "bb81decc4e1738", "" ],
            [ "100000000000051", "9afa5a59e9d630", "be9e65a6d42938", "" ],
            [ "ABCDEF0123456789", "ab5e104eeb71c000", "2cffbd639e9fea00", "" ],
            [ "ABCDEF0123456789", "197b867547f68a00", "44b796cf94654800", "" ],
            [ "ABCDEF0123456789", "329f9483a04f2c00", "9892f76961d0f000", "" ],
            [ "ABCDEF0123456789", "4a2e12dfb4545000", "1aa3e89a69794500", "" ],
            [ "25A55A46E5DA99C71C7", "8b9acdf013d140f000", "12e4ceaefabdf2b2f00", "0x25A55A46E5DA99C71C7 is the 3rd repunit prime (dec) 11111111111111111111111" ],
            [ "25A55A46E5DA99C71C7", "1b8d960ea277e3f5500", "14418aa980e37dd000", "" ],
            [ "25A55A46E5DA99C71C7", "7314524977e8075980", "8172fa45618ccd0d80", "" ],
            [ "25A55A46E5DA99C71C7", "ca14f031769be63580", "147a2f3cf2964ca9400", "" ],
            [ "314DC643FB763F2B8C0E2DE00879", "18532ba119d5cd0cf39735c0000", "25f9838e31634844924733000000", "0x314DC643FB763F2B8C0E2DE00879 is (dec)99999999977^3" ],
            [ "314DC643FB763F2B8C0E2DE00879", "a56e2d2517519e3970e70c40000", "ec27428d4bb380458588fa80000", "" ],
            [ "314DC643FB763F2B8C0E2DE00879", "1cb5e8257710e8653fff33a00000", "15fdd42fe440fd3a1d121380000", "" ],
            [ "314DC643FB763F2B8C0E2DE00879", "e50d07a65fc6f93e538ce040000", "1f4b059ca609f3ce597f61240000", "" ],
            [ "47BF19662275FA2F6845C74942ED1D852E521", "1ea3ade786a095d978d387f30df9f20000000", "127c448575f04af5a367a7be06c7da0000000", "0x47BF19662275FA2F6845C74942ED1D852E521 is (dec) 99999999977^4" ],
            [ "47BF19662275FA2F6845C74942ED1D852E521", "16e15b0ca82764e72e38357b1f10a20000000", "43e2355d8514bbe22b0838fdc3983a0000000", "" ],
            [ "47BF19662275FA2F6845C74942ED1D852E521", "be39332529d93f25c3d116c004c620000000", "5cccec42370a0a2c89c6772da801a0000000", "" ],
            [ "47BF19662275FA2F6845C74942ED1D852E521", "ecaa468d90de0eeda474d39b3e1fc0000000", "1e714554018de6dc0fe576bfd3b5660000000", "" ],
            [ "97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931", "32298816711c5dce46f9ba06e775c4bedfc770e6700000000000000", "8ee751fd5fb24f0b4a653cb3a0c8b7d9e724574d168000000000000", "0x97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931 is (dec) 99999999977^6" ],
            [ "97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931", "29213b9df3cfd15f4b428645b67b677c29d1378d810000000000000", "6cbb732c65e10a28872394dfdd1936d5171c3c3aac0000000000000", "" ],
            [ "97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931", "6f18db06ad4abc52c0c50643dd13098abccd4a232f0000000000000", "7e6bf41f2a86098ad51f98dfc10490ba3e8081bc830000000000000", "" ],
            [ "97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931", "62d3286cd706ad9d73caff63f1722775d7e8c731208000000000000", "530f7ba02ae2b04c2fe3e3d27ec095925631a6c2528000000000000", "" ],
            [ "DD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499", "a6c6503e3c031fdbf6009a89ed60582b7233c5a85de28b16000000000000000", "75c8ed18270b583f16d442a467d32bf95c5e491e9b8523798000000000000000", "0xDD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499 is (dec) 99999999977^7" ],
            [ "DD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499", "bf84d1f85cf6b51e04d2c8f4ffd03532d852053cf99b387d4000000000000000", "397ba5a743c349f4f28bc583ecd5f06e0a25f9c6d98f09134000000000000000", "" ],
            [ "DD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499", "6db11c3a4152ed1a2aa6fa34b0903ec82ea1b88908dcb482000000000000000", "ac8ac576a74ad6ca48f201bf89f77350ce86e821358d85920000000000000000", "" ],
            [ "DD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499", "3001d96d7fe8b733f33687646fc3017e3ac417eb32e0ec708000000000000000", "925ddbdac4174e8321a48a32f79640e8cf7ec6f46ea235a80000000000000000", "" ],
            [ "141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41", "1029048755f2e60dd98c8de6d9989226b6bb4f0db8e46bd1939de560000000000000000000", "51bb7270b2e25cec0301a03e8275213bb6c2f6e6ec93d4d46d36ca0000000000000000000", "0x141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41 is 99999999977^8" ],
            [ "141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41", "1c5337ff982b3ad6611257dbff5bbd7a9920ba2d4f5838a0cc681ce000000000000000000", "520c5d049ca4702031ba728591b665c4d4ccd3b2b86864d4c160fd2000000000000000000", "" ],
            [ "141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41", "57074dfa00e42f6555bae624b7f0209f218adf57f73ed34ab0ff90c000000000000000000", "41eb14b6c07bfd3d1fe4f4a610c17cc44fcfcda695db040e011065000000000000000000", "" ],
            [ "141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41", "d8ed7feed2fe855e6997ad6397f776158573d425031bf085a615784000000000000000000", "6f121dcd18c578ab5e229881006007bb6d319b179f11015fe958b9c000000000000000000", "" ],
            [ "2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC902713E40F51E3B3C214EDFABC451", "2a462b156180ea5fe550d3758c764e06fae54e626b5f503265a09df76edbdfbfa1e6000000000000000000000000", "1136f41d1879fd4fb9e49e0943a46b6704d77c068ee237c3121f9071cfd3e6a00315800000000000000000000000", "0x2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC902713E40F51E3B3C214EDFABC451 is (dec) 99999999977^10" ],
            [ "2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC902713E40F51E3B3C214EDFABC451", "c1ac3800dfb3c6954dea391d206200cf3c47f795bf4a5603b4cb88ae7e574de4740800000000000000000000000", "c0d16eda0549ede42fa0deb4635f7b7ce061fadea02ee4d85cba4c4f7096034193c800000000000000000000000", "" ],
            [ "2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC902713E40F51E3B3C214EDFABC451", "19e45bb7633094d272588ad2e43bcb3ee341991c6731b6fa9d47c4018d7ce7bba5ee800000000000000000000000", "1e4f83166ae59f6b9cc8fd3e7677ed8bfc01bb99c98bd3eb084246b64c1e18c3365b800000000000000000000000", "" ],
            [ "2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC902713E40F51E3B3C214EDFABC451", "1aa93395fad5f9b7f20b8f9028a054c0bb7c11bb8520e6a95e5a34f06cb70bcdd01a800000000000000000000000", "54b45afa5d4310192f8d224634242dd7dcfb342318df3d9bd37b4c614788ba13b8b000000000000000000000000", "" ],
            [ "8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA11DABD6E6144BEF37C6800000000000000000000000000000000051", "544f2628a28cfb5ce0a1b7180ee66b49716f1d9476c466c57f0c4b2308991784306d48f78686115ee19e25400000000000000000000000000000000", "677eb31ef8d66c120fa872a60cd47f6e10cbfdf94f90501bd7883cba03d185be0a0148d1625745e9c4c827300000000000000000000000000000000", "0x8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA11DABD6E6144BEF37C6800000000000000000000000000000000051 is prime, (dec) 10^143 + 3^4" ],
            [ "8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA11DABD6E6144BEF37C6800000000000000000000000000000000051", "76bb3470985174915e9993522aec989666908f9e8cf5cb9f037bf4aee33d8865cb6464174795d07e30015b80000000000000000000000000000000", "6aaaf60d5784dcef612d133613b179a317532ecca0eed40b8ad0c01e6d4a6d8c79a52af190abd51739009a900000000000000000000000000000000", "" ],
            [ "8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA11DABD6E6144BEF37C6800000000000000000000000000000000051", "6cfdd6e60912e441d2d1fc88f421b533f0103a5322ccd3f4db84861643ad63fd63d1d8cfbc1d498162786ba00000000000000000000000000000000", "1177246ec5e93814816465e7f8f248b350d954439d35b2b5d75d917218e7fd5fb4c2f6d0667f9467fdcf33400000000000000000000000000000000", "" ],
            [ "8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA11DABD6E6144BEF37C6800000000000000000000000000000000051", "7a09a0b0f8bbf8057116fb0277a9bdf3a91b5eaa8830d448081510d8973888be5a9f0ad04facb69aa3715f00000000000000000000000000000000", "764dec6c05a1c0d87b649efa5fd94c91ea28bffb4725d4ab4b33f1a3e8e3b314d799020e244a835a145ec9800000000000000000000000000000000", "" ],
        );

        my %described = ();

        for my $g (@generate) {
            my ($nh, $ah, $bh, $info) = @$g;
            my $a = Math::BigInt->from_hex($ah);
            my $b = Math::BigInt->from_hex($bh);
            my $n = Math::BigInt->from_hex($nh);

            my $ln4 = mpi4s($n);
            my $la4 = mpi4s($a);
            my $lb4 = mpi4s($b);

            my $ln8 = mpi8s($n);
            my $la8 = mpi8s($a);
            my $lb8 = mpi8s($b);

            my $r4 = bound_mpi4($n->copy());
            my $i4 = $r4->copy()->bmodinv($n);
            my $x4 = $a * $b * $i4;
            $x4->bmod($n);
            my $xh4 = Math::BigInt->new($x4)->to_hex();

            my $r8 = bound_mpi8($n->copy());
            my $i8 = $r8->copy()->bmodinv($n);
            my $x8 = $a * $b * $i8;
            $x8->bmod($n);
            my $xh8 = Math::BigInt->new($x8)->to_hex();

            die("") if $la4 > $ln4 || $la8 > $ln8;

            my $desc = "$test_name #NUMBER (gen)";
            if ($ln4 > 1) {
                if (!$described{"2-MPI4"}) {
                    $desc .= " (start of 2-MPI 4-byte bignums)";
                    $described{"2-MPI4"} = 1;
                }
            }
            if ($ln8 > 1) {
                if (!$described{"2-MPI8"}) {
                    $desc .= " (start of 2-MPI 8-byte bignums)";
                    $described{"2-MPI8"} = 1;
                }
            }
            if (length($info) && !$described{$info}) {
                $desc .= " " . $info;
                $described{$info} = 1;
            }
            my $case = output($test_name, $ln4, $lb4, $ln8, $lb8, str($ah), str($bh), str($nh), str($xh4), str($xh8));

            #push(@cases, [$case, $desc, "MBEDTLS_HAVE_INT64"]);    -- now doing it differently
            push(@cases, [$case, $desc]);
        }

        output_cases("", @cases);
    }

    sub output_cases {

        my ($explain, @cases) = @_;

        my $count = 1;
        for my $c (@cases) {

            my ($case, $desc, $dep) = @$c;
            $desc =~ s/NUMBER/$count/; $count++;
            if (defined($explain) && $desc =~ /EXPLAIN/) {
                $desc =~ s/EXPLAIN/$explain/;
                $explain = "";
            }

            my $depends = "";
            $depends = "depends_on:$dep\n" if defined($dep) && length($dep);

            print <<EOF;

    $desc
    $depends$case
    EOF
        }
    }

    # The first number (a power of 2) that won't fit in the number of MPIs
    # needed for the given number
    sub bound_mpi4 {
        my $one = Math::BigInt->new(1);     # blsft modifies caller
        return $one->blsft(bits_mpi4($_[0]));
    }

    sub bound_mpi8 {
        my $one = Math::BigInt->new(1);     # blsft modifies caller
        return $one->blsft(bits_mpi8($_[0]));
    }

    # How many bits (a multiple of 32) needed to store the specified number
    # when using 4-byte MPIs
    sub bits_mpi4 {
        return 32 * mpi4s($_[0]);
    }

    # How many bits (a multiple of 64) needed to store the specified number
    # when using 8-byte MPIs
    sub bits_mpi8 {
        return 64 * mpi8s($_[0]);
    }

    # How many 4-byte MPIs needed to store the specified number
    sub mpi4s {
        my ($n) = @_;
        my $h = $n->to_hex();
        return int((length($h) + 7) / 8);
    }

    # How many 8-byte MPIs needed to store the specified number
    sub mpi8s {
        my ($n) = @_;
        my $h = $n->to_hex();
        return int((length($h) + 15) / 16);
    }

    sub output {
        #run_test(@_);

        return join(":", @_);
    }

    sub str {
        return '"' . $_[0] . '"';
    }
```

The data for the generated test cases (@generate) for mpi-test-core-montmul.pl
was created by

```
    #!/usr/bin/env perl
    #
    # mpi-modmul-gen.pl - randomly generate test cases for mpi-test-core-montmul.pl
    #
    use strict;
    use warnings;
    use Math::BigInt;
    use sort 'stable';

    my %seen = ();

    my @primes = (
        "3",
        "7",
        "B",
        "29",
        "101",
        "38B",
        "8003",
        "10001",
        "800009",
        "100002B",
        "37EEE9D",
        "8000000B",
        "8CD626B9",
        # From here they require > 1 4-byte MPI
        "10000000F",
        "174876E7E9",
        "8000000017",
        "864CB9076D",
        "1000000000F",
        "800000000005",
        "800795D9BA47",
        "1000000000015",
        "100000000000051",
        # From here they require > 1 8-byte MPI
        "25A55A46E5DA99C71C7",      # this is 11111111111111111111111 decimal
        # 10^143 + 3^4: (which is prime)
        # 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000081
        "8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA11DABD6E6144BEF37C6800000000000000000000000000000000051",
    );
    my %prime = map { $_ => 1 } @primes;

    my @moduli = (
        [ "3", "" ],
        [ "7", "" ],
        [ "B", "" ],
        [ "29", "" ],
        [ "FF", "" ],
        [ "101", "" ],
        [ "38B", "" ],
        [ "8003", "" ],
        [ "10001", "" ],
        [ "7F7F7", "" ],
        [ "800009", "" ],
        [ "100002B", "" ],
        [ "37EEE9D", "" ],
        [ "8000000B", "" ],
        [ "8CD626B9", "" ],
        [ "10000000F", "" ],
        [ "174876E7E9", "0x174876E7E9 is prime (dec) 99999999977" ],
        [ "8000000017", "" ],
        [ "864CB9076D", "" ],
        [ "F7F7F7F7F7", "" ],
        [ "1000000000F", "" ],
        [ "800000000005", "" ],
        [ "800795D9BA47", "" ],
        [ "1000000000015", "" ],
        [ "100000000000051", "" ],
        [ "ABCDEF0123456789", "" ],
        [ "25A55A46E5DA99C71C7", "0x25A55A46E5DA99C71C7 is the 3rd repunit prime (dec) 11111111111111111111111" ],
        [ "314DC643FB763F2B8C0E2DE00879", "0x314DC643FB763F2B8C0E2DE00879 is (dec)99999999977^3" ],
        [ "47BF19662275FA2F6845C74942ED1D852E521", "0x47BF19662275FA2F6845C74942ED1D852E521 is (dec) 99999999977^4" ],
        [ "97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931", "0x97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931 is (dec) 99999999977^6" ],
        [ "DD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499", "0xDD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499 is (dec) 99999999977^7" ],
        [ "141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41", "0x141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41 is 99999999977^8" ],
        [ "2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC902713E40F51E3B3C214EDFABC451", "0x2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC902713E40F51E3B3C214EDFABC451 is (dec) 99999999977^10" ],
        [ "8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA11DABD6E6144BEF37C6800000000000000000000000000000000051", "0x8335616AED761F1F7F44E6BD49E807B82E3BF2BF11BFA6AF813C808DBF33DBFA11DABD6E6144BEF37C6800000000000000000000000000000000051 is prime, (dec) 10^143 + 3^4" ], # 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000081
    );

    #99999999977^2:
    #ibase=16 ; obase=10 ; 174876E7E9*174876E7E9
    #99999999977^3:
    #ibase=16 ; obase=10 ; 174876E7E9*174876E7E9*174876E7E9
    #99999999977^2: 21E19E0C58BACE25211
    #99999999977^3: 314DC643FB763F2B8C0E2DE00879
    #99999999977^4: 47BF19662275FA2F6845C74942ED1D852E521
    #99999999977^5: 6867A5A664437D20ED7941408583AADA2193CE95695209
    #99999999977^6: 97EDD86E4B5C4592C6D32064AC55C888A7245F07CA3CC455E07C931
    #99999999977^7: DD15FE80B731872AC104DB37832F7E75A244AA2631BC87885B861E8F20375499
    #99999999977^8: 141B8EBD9009F84C241879A1F680FACCED355DA36C498F73E96E880CF78EA5F96146380E41
    #99999999977^9: 1D42AEA1837AA78C6339224E9B39A483E4AAAF12CE7752E1EA1681082CBC8AB056A36B6299557D7A029
    #99999999977^10: 2A94608DE88B6D5E9F8920F5ABB06B24CC35AE1FBACC87D075C621C3E2833EC902713E40F51E3B3C214EDFABC451

    my %mentioned = ();

    for my $mod (@moduli) {
        my ($nh, $info) = @$mod;
        my $n = Math::BigInt->from_hex($nh);

        my $xxx = $n->to_hex();
        die("$xxx != $nh") unless lc($xxx) eq lc($nh);

        my $cases = ($n < 5) ? 3 : 4;
        for (my $case = 0; $case < $cases; $case++) {
            my ($a, $b);
            for ($a = 0; $a == 0; ) {
                $a = int(rand($n));
            }
            for ($b = 0; $b == 0; ) {
                $b = int(rand($n));
            }

            my $cstr = "$a|$b|$n";
            if (exists($seen{$cstr})) {     # don't repeat ourselves
                $case--;
                next;
            }

            $seen{$cstr} = 1;

            my $ah = Math::BigInt->new($a)->to_hex();
            my $bh = Math::BigInt->new($b)->to_hex();

            my $desc = "";
            if (length($info)) {
                $desc = $info if !$mentioned{$info};
                $mentioned{$info} = 1;
            } elsif (length($nh) > 1 && $prime{$nh} && !$mentioned{$nh}) {
                $desc = "(0x$nh is prime)";
                $mentioned{$nh} = 1;
            }

            print <<EOF;
            [ "$nh", "$ah", "$bh", "$desc" ],
    EOF
        }
    }
```

Signed-off-by: Tom Cosgrove <tom.cosgrove@arm.com>
2022-08-23 16:29:00 +01:00
Tom Cosgrove
79b70f6394 Make a public version of mpi_montg_init() in bignum_new.c and add unit tests
The unit tests were created by capturing runs of the existing function during
execution of existing unit tests.

Signed-off-by: Tom Cosgrove <tom.cosgrove@arm.com>
2022-08-23 16:28:32 +01:00
Tom Cosgrove
659c84add9 Add unit tests for the new function mbedtls_mpi_core_mla() in bignum_new.c
The test cases use the following MPI values:

    0 1 fffe ffffffff 100000000 20000000000000 ffffffffffffffff
    10000000000000000 1234567890abcdef0 fffffffffffffffffefefefefefefefe
    100000000000000000000000000000000 1234567890abcdef01234567890abcdef0
    ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
    1234567890abcdef01234567890abcdef01234567890abcdef01234567890abcdef0
    4df72d07b4b71c8dacb6cffa954f8d88254b6277099308baf003fab73227f34029643b5a263f66e0d3c3fa297ef71755efd53b8fb6cb812c6bbf7bcf179298bd9947c4c8b14324140a2c0f5fad7958a69050a987a6096e9f055fb38edf0c5889eca4a0cfa99b45fbdeee4c696b328ddceae4723945901ec025076b12b

and the following scalars. The .data files include two sets of results (final
accumulator and carry) for the cases sizeof(mbedtls_mpi_uint) == 4 or 8.

    0 3 fe ff ffff 10000 ffffffff 100000000 7f7f7f7f7f7f7f7f 8000000000000000
    fffffffffffffffe

The lines in the .data file were generated by the following script

    #!/usr/bin/env perl
    #
    # mpi-test-core-mla.pl - generate/run MPI tests in Perl for mbedtls_mpi_core_mla()
    #
    use strict;
    use warnings;
    use Math::BigInt;
    use sort 'stable';

    my @mla_mpis = qw(
        0 1 fffe ffffffff 100000000 20000000000000 ffffffffffffffff
        10000000000000000 1234567890abcdef0 fffffffffffffffffefefefefefefefe
        100000000000000000000000000000000 1234567890abcdef01234567890abcdef0
        ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
        1234567890abcdef01234567890abcdef01234567890abcdef01234567890abcdef0
        4df72d07b4b71c8dacb6cffa954f8d88254b6277099308baf003fab73227f34029643b5a263f66e0d3c3fa297ef71755efd53b8fb6cb812c6bbf7bcf179298bd9947c4c8b14324140a2c0f5fad7958a69050a987a6096e9f055fb38edf0c5889eca4a0cfa99b45fbdeee4c696b328ddceae4723945901ec025076b12b
    );

    my @mla_scalars = qw(
        0 3 fe ff ffff 10000 ffffffff 100000000 7f7f7f7f7f7f7f7f 8000000000000000
        fffffffffffffffe
    );

    my @mla_full_mpis = qw(
        0 1 3 f fe ff 100 ff00 fffe ffff 10000
        fffffffe ffffffff 100000000 1f7f7f7f7f7f7f
        8000000000000000 fefefefefefefefe fffffffffffffffe ffffffffffffffff
        10000000000000000 1234567890abcdef0
        fffffffffffffffffefefefefefefefe fffffffffffffffffffffffffffffffe ffffffffffffffffffffffffffffffff
        100000000000000000000000000000000 1234567890abcdef01234567890abcdef0
        fffffffffffffffffffffffffffffffffffffffffffffffffefefefefefefefe
        fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe
        ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
        10000000000000000000000000000000000000000000000000000000000000000
        1234567890abcdef01234567890abcdef01234567890abcdef01234567890abcdef0
        4df72d07b4b71c8dacb6cffa954f8d88254b6277099308baf003fab73227f34029643b5a263f66e0d3c3fa297ef71755efd53b8fb6cb812c6bbf7bcf179298bd9947c4c8b14324140a2c0f5fad7958a69050a987a6096e9f055fb38edf0c5889eca4a0cfa99b45fbdeee4c696b328ddceae4723945901ec025076b12b
    );

    my @mla_full_scalars = qw(
        0 1 3 f fe ff 100 ff00 fffe ffff 10000
        fffffffe ffffffff 100000000
        8000000000000000 fefefefefefefefe fffffffffffffffe ffffffffffffffff
    );

    generate_tests();

    sub generate_tests {
        generate_mbedtls_mpi_core_mla();
    }

    sub generate_mbedtls_mpi_core_mla {

        my $sub_name = (caller(0))[3];      # e.g. main::generate_mbedtls_mpi_sub_mpi
        my ($ignore, $test_name) = split("main::generate_", $sub_name);

        my @cases = ();

        for my $ah (@mla_mpis) {
            for my $bh (@mla_mpis) {
                for my $ch (@mla_scalars) {

                    # a += b * c (c is scalar)
                    # a_len >= b_len. need carry out.
                    my $a = Math::BigInt->from_hex($ah);
                    my $b = Math::BigInt->from_hex($bh);
                    my $c = Math::BigInt->from_hex($ch);

                    my $max = ($a > $b) ? $a : $b;

                    my $bound4 = bound_mpi4($max);
                    my $bound8 = bound_mpi8($max);

                    my $r = $a + $b * $c;
                    my ($r4, $cy4) = ($r->copy(), 0);
                    my ($r8, $cy8) = ($r->copy(), 0);

                    ($cy4, $r4) = $r4->bdiv($bound4);
                    ($cy8, $r8) = $r8->bdiv($bound8);

                    my $rh4 = $r4->to_hex();
                    my $rh8 = $r8->to_hex();

                    my $cyh4 = $cy4->to_hex();
                    my $cyh8 = $cy8->to_hex();

                    # If the scalar c is too big for 1 x 4-byte MPI, we can only run this test on a system with 8-byte MPIs
                    my $depends = mpi4s($c) > 1 ? "MBEDTLS_HAVE_INT64" : "";

                    my $desc = "$test_name #NUMBER: 0x$ah + 0x$bh * 0x$ch = (0x$rh4, carry 0x$cyh4)/(0x$rh8, carry 0x$cyh8)EXPLAIN";
                    my $case = output($test_name, str($ah), str($bh), str($ch), str($rh4), str($cyh4), str($rh8), str($cyh8));

                    push(@cases, [$case, $desc, $depends]);
                }
            }
        }

        output_cases(" (for when sizeof(mbedtls_mpi_uint) == 4/8)", @cases);
    }

    sub output_cases {

        my ($explain, @cases) = @_;

        my $count = 1;
        for my $c (@cases) {

            my ($case, $desc, $dep) = @$c;
            $desc =~ s/NUMBER/$count/; $count++;
            if (defined($explain) && $desc =~ /EXPLAIN/) {
                $desc =~ s/EXPLAIN/$explain/;
                $explain = "";
            }

            my $depends = "";
            $depends = "depends_on:$dep\n" if defined($dep) && length($dep);

            print <<EOF;

    $desc
    $depends$case
    EOF
        }
    }

    # The first number (a power of 2) that won't fit in the number of MPIs
    # needed for the given number
    sub bound_mpi4 {
        my $one = Math::BigInt->new(1);     # blsft modifies caller
        return $one->blsft(bits_mpi4($_[0]));
    }

    sub bound_mpi8 {
        my $one = Math::BigInt->new(1);     # blsft modifies caller
        return $one->blsft(bits_mpi8($_[0]));
    }

    # How many bits (a multiple of 32) needed to store the specified number
    # when using 4-byte MPIs
    sub bits_mpi4 {
        return 32 * mpi4s($_[0]);
    }

    # How many bits (a multiple of 64) needed to store the specified number
    # when using 8-byte MPIs
    sub bits_mpi8 {
        return 64 * mpi8s($_[0]);
    }

    # How many 4-byte MPIs needed to store the specified number
    sub mpi4s {
        my ($n) = @_;
        my $h = $n->to_hex();
        return int((length($h) + 7) / 8);
    }

    # How many 8-byte MPIs needed to store the specified number
    sub mpi8s {
        my ($n) = @_;
        my $h = $n->to_hex();
        return int((length($h) + 15) / 16);
    }

    sub output {
        #run_test(@_);

        return join(":", @_);
    }

    sub str {
        return '"' . $_[0] . '"';
    }

Signed-off-by: Tom Cosgrove <tom.cosgrove@arm.com>
2022-08-23 16:28:01 +01:00
Tom Cosgrove
2a65b85928 Add unit tests for the new function mbedtls_mpi_core_sub() in bignum_new.c
The test cases use the following MPI values.

The .data file includes two results, for the cases when
sizeof(mbedtls_mpi_uint) == 4 or 8.

    0 1 3 f fe ff 100 ff00 fffe ffff 10000
    fffffffe ffffffff 100000000 1f7f7f7f7f7f7f
    8000000000000000 fefefefefefefefe fffffffffffffffe ffffffffffffffff
    10000000000000000 1234567890abcdef0
    fffffffffffffffffefefefefefefefe fffffffffffffffffffffffffffffffe
    ffffffffffffffffffffffffffffffff 100000000000000000000000000000000
    1234567890abcdef01234567890abcdef0
    fffffffffffffffffffffffffffffffffffffffffffffffffefefefefefefefe
    fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe
    ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
    10000000000000000000000000000000000000000000000000000000000000000
    1234567890abcdef01234567890abcdef01234567890abcdef01234567890abcdef0
    4df72d07b4b71c8dacb6cffa954f8d88254b6277099308baf003fab73227f34029643b5a263f66e0d3c3fa297ef71755efd53b8fb6cb812c6bbf7bcf179298bd9947c4c8b14324140a2c0f5fad7958a69050a987a6096e9f055fb38edf0c5889eca4a0cfa99b45fbdeee4c696b328ddceae4723945901ec025076b12b

The lines in the .data file were generated by the following script

    #!/usr/bin/env perl
    #
    # mpi-test-core-sub.pl - generate/run MPI tests in Perl for mbedtls_mpi_core_sub()
    #
    use strict;
    use warnings;
    use Math::BigInt;
    use sort 'stable';

    my @sub_mpis = qw(
        0 1 3 f fe ff 100 ff00 fffe ffff 10000
        fffffffe ffffffff 100000000 1f7f7f7f7f7f7f
        8000000000000000 fefefefefefefefe fffffffffffffffe ffffffffffffffff
        10000000000000000 1234567890abcdef0
        fffffffffffffffffefefefefefefefe fffffffffffffffffffffffffffffffe ffffffffffffffffffffffffffffffff
        100000000000000000000000000000000 1234567890abcdef01234567890abcdef0
        fffffffffffffffffffffffffffffffffffffffffffffffffefefefefefefefe
        fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe
        ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
        10000000000000000000000000000000000000000000000000000000000000000
        1234567890abcdef01234567890abcdef01234567890abcdef01234567890abcdef0
        4df72d07b4b71c8dacb6cffa954f8d88254b6277099308baf003fab73227f34029643b5a263f66e0d3c3fa297ef71755efd53b8fb6cb812c6bbf7bcf179298bd9947c4c8b14324140a2c0f5fad7958a69050a987a6096e9f055fb38edf0c5889eca4a0cfa99b45fbdeee4c696b328ddceae4723945901ec025076b12b
    );

    generate_tests();

    sub generate_tests {
        generate_mbedtls_mpi_core_sub();
    }

    sub generate_mbedtls_mpi_core_sub {

        my $sub_name = (caller(0))[3];      # e.g. main::generate_mbedtls_mpi_sub_mpi
        my ($ignore, $test_name) = split("main::generate_", $sub_name);

        my @cases = ();

        for my $ah (@sub_mpis) {
            for my $bh (@sub_mpis) {

                my $a = Math::BigInt->from_hex($ah);
                my $b = Math::BigInt->from_hex($bh);

                my ($rh4, $rh8, $carry);

                if ($a >= $b) {
                    my $r = $a - $b;
                    $rh4 = $rh8 = $r->to_hex();
                    $carry = 0;
                } else {
                    my $r4 = bound_mpi4($b) + $a - $b;
                    my $r8 = bound_mpi8($b) + $a - $b;

                    $rh4 = $r4->to_hex();
                    $rh8 = $r8->to_hex();

                    $carry = 1;
                }

                my $desc = "$test_name #NUMBER: 0x$ah - 0x$bh = 0x$rh4/${rh8}EXPLAIN, carry ${carry}";
                my $case = output($test_name, str($ah), str($bh), str($rh4), str($rh8), $carry);

                push(@cases, [$case, $desc]);
            }
        }

        output_cases(" (for when sizeof(mbedtls_mpi_uint) == 4/8)", @cases);
    }

    sub output_cases {

        my ($explain, @cases) = @_;

        my $count = 1;
        for my $c (@cases) {

            my ($case, $desc, $dep) = @$c;
            $desc =~ s/NUMBER/$count/; $count++;
            if (defined($explain) && $desc =~ /EXPLAIN/) {
                $desc =~ s/EXPLAIN/$explain/;
                $explain = "";
            }

            my $depends = "";
            $depends = "depends_on:$dep\n" if defined($dep) && length($dep);

            print <<EOF;

    $desc
    $depends$case
    EOF
        }
    }

    # The first number (a power of 2) that won't fit in the number of MPIs
    # needed for the given number
    sub bound_mpi4 {
        my $one = Math::BigInt->new(1);     # blsft modifies caller
        return $one->blsft(bits_mpi4($_[0]));
    }

    sub bound_mpi8 {
        my $one = Math::BigInt->new(1);     # blsft modifies caller
        return $one->blsft(bits_mpi8($_[0]));
    }

    # How many bits (a multiple of 32) needed to store the specified number
    # when using 4-byte MPIs
    sub bits_mpi4 {
        return 32 * mpi4s($_[0]);
    }

    # How many bits (a multiple of 64) needed to store the specified number
    # when using 8-byte MPIs
    sub bits_mpi8 {
        return 64 * mpi8s($_[0]);
    }

    # How many 4-byte MPIs needed to store the specified number
    sub mpi4s {
        my ($n) = @_;
        my $h = $n->to_hex();
        return int((length($h) + 7) / 8);
    }

    # How many 8-byte MPIs needed to store the specified number
    sub mpi8s {
        my ($n) = @_;
        my $h = $n->to_hex();
        return int((length($h) + 15) / 16);
    }

    sub output {
        return join(":", @_);
    }

    sub str {
        return '"' . $_[0] . '"';
    }

Signed-off-by: Tom Cosgrove <tom.cosgrove@arm.com>
2022-08-23 16:27:18 +01:00
Tom Cosgrove
0cc78658c3 Add unit tests for the new function mbedtls_mpi_core_add_if() in bignum_new.c
The test cases use the following MPI values.

The .data file only includes those (a, b) values where a <= b, and gives the
sum unconditionally; the test code exercises a >= b and cond == 0 using these
values. The .data file gives two values for the carry out, which are for when
sizeof(mbedtls_mpi_uint) == 4 or 8.

    0 1 3 f fe ff 100 ff00 fffe ffff 10000
    fffffffe ffffffff 100000000 1f7f7f7f7f7f7f
    8000000000000000 fefefefefefefefe fffffffffffffffe ffffffffffffffff
    10000000000000000 1234567890abcdef0
    fffffffffffffffffefefefefefefefe fffffffffffffffffffffffffffffffe
    ffffffffffffffffffffffffffffffff 100000000000000000000000000000000
    1234567890abcdef01234567890abcdef0
    fffffffffffffffffffffffffffffffffffffffffffffffffefefefefefefefe
    fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe
    ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
    10000000000000000000000000000000000000000000000000000000000000000
    1234567890abcdef01234567890abcdef01234567890abcdef01234567890abcdef0
    4df72d07b4b71c8dacb6cffa954f8d88254b6277099308baf003fab73227f34029643b5a263f66e0d3c3fa297ef71755efd53b8fb6cb812c6bbf7bcf179298bd9947c4c8b14324140a2c0f5fad7958a69050a987a6096e9f055fb38edf0c5889eca4a0cfa99b45fbdeee4c696b328ddceae4723945901ec025076b12b

The lines in the .data file were generated by the following script

```
    #!/usr/bin/env perl
    #
    # mpi-test-core-add-if.pl - generate MPI tests in Perl for mbedtls_mpi_core_add_if()
    #
    use strict;
    use warnings;
    use Math::BigInt;
    use sort 'stable';

    my @add_mpis = qw(
        0 1 3 f fe ff 100 ff00 fffe ffff 10000
        fffffffe ffffffff 100000000 1f7f7f7f7f7f7f
        8000000000000000 fefefefefefefefe fffffffffffffffe ffffffffffffffff
        10000000000000000 1234567890abcdef0
        fffffffffffffffffefefefefefefefe fffffffffffffffffffffffffffffffe ffffffffffffffffffffffffffffffff
        100000000000000000000000000000000 1234567890abcdef01234567890abcdef0
        fffffffffffffffffffffffffffffffffffffffffffffffffefefefefefefefe
        fffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffe
        ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff
        10000000000000000000000000000000000000000000000000000000000000000
        1234567890abcdef01234567890abcdef01234567890abcdef01234567890abcdef0
        4df72d07b4b71c8dacb6cffa954f8d88254b6277099308baf003fab73227f34029643b5a263f66e0d3c3fa297ef71755efd53b8fb6cb812c6bbf7bcf179298bd9947c4c8b14324140a2c0f5fad7958a69050a987a6096e9f055fb38edf0c5889eca4a0cfa99b45fbdeee4c696b328ddceae4723945901ec025076b12b
    );

    generate_tests();

    sub generate_tests {
        generate_mbedtls_mpi_core_add_if();
    }

    sub generate_mbedtls_mpi_core_add_if {

        my $sub_name = (caller(0))[3];      # e.g. main::generate_mbedtls_mpi_add_mpi
        my ($ignore, $test_name) = split("main::generate_", $sub_name);

        my @cases = ();

        for my $ah (@add_mpis) {
            for my $bh (@add_mpis) {

                my $a = Math::BigInt->from_hex($ah);
                my $b = Math::BigInt->from_hex($bh);
                next if $a > $b;                # don't need to repeat test cases

                # $b is the larger (or equal) of the two numbers. That's the number of limbs
                # we'll be using.
                my $bound4 = bound_mpi4($b);
                my $bound8 = bound_mpi8($b);

                my $r = $a + $b;
                my ($r4, $carry4) = ($r->copy(), 0);
                my ($r8, $carry8) = ($r->copy(), 0);

                ($carry4, $r4) = $r4->bdiv($bound4);
                ($carry8, $r8) = $r8->bdiv($bound8);

                my $rh4 = $r4->to_hex();
                my $rh8 = $r8->to_hex();

                my $desc = "$test_name #NUMBER: 0x$ah + 0x$bh = (0x$rh4, carry $carry4)/(0x$rh8, carry $carry8)EXPLAIN";
                my $case = output($test_name, str($ah), str($bh), str($rh4), $carry4, str($rh8), $carry8);

                push(@cases, [$case, $desc]);
            }
        }

        output_cases(" (for when sizeof(mbedtls_mpi_uint) == 4/8)", @cases);
    }

    sub output_cases {

        my ($explain, @cases) = @_;

        my $count = 1;
        for my $c (@cases) {

            my ($case, $desc, $dep) = @$c;
            $desc =~ s/NUMBER/$count/; $count++;
            if (defined($explain) && $desc =~ /EXPLAIN/) {
                $desc =~ s/EXPLAIN/$explain/;
                $explain = "";
            }

            my $depends = "";
            $depends = "depends_on:$dep\n" if defined($dep) && length($dep);

            print <<EOF;

    $desc
    $depends$case
    EOF
        }
    }

    # The first number (a power of 2) that won't fit in the number of MPIs
    # needed for the given number
    sub bound_mpi4 {
        my $one = Math::BigInt->new(1);     # blsft modifies caller
        return $one->blsft(bits_mpi4($_[0]));
    }

    sub bound_mpi8 {
        my $one = Math::BigInt->new(1);     # blsft modifies caller
        return $one->blsft(bits_mpi8($_[0]));
    }

    # How many bits (a multiple of 32) needed to store the specified number
    # when using 4-byte MPIs
    sub bits_mpi4 {
        return 32 * mpi4s($_[0]);
    }

    # How many bits (a multiple of 64) needed to store the specified number
    # when using 8-byte MPIs
    sub bits_mpi8 {
        return 64 * mpi8s($_[0]);
    }

    # How many 4-byte MPIs needed to store the specified number
    sub mpi4s {
        my ($n) = @_;
        my $h = $n->to_hex();
        return int((length($h) + 7) / 8);
    }

    # How many 8-byte MPIs needed to store the specified number
    sub mpi8s {
        my ($n) = @_;
        my $h = $n->to_hex();
        return int((length($h) + 15) / 16);
    }

    sub output {
        return join(":", @_);
    }

    sub str {
        return '"' . $_[0] . '"';
    }
```

Signed-off-by: Tom Cosgrove <tom.cosgrove@arm.com>
2022-08-23 16:26:52 +01:00
Janos Follath
deb8030e9f Improve mbedtls_mpi_core_lt_ct() unit tests
- Improve test descriptions
- Add more test cases with return value of 1
- Remove the mbedtls prefix from the test function

Signed-off-by: Janos Follath <janos.follath@arm.com>
2022-08-19 13:32:17 +01:00
Gabor Mezei
7f0817884e
Unify mpi mod raw read/write test with the other tests
Use 32 bit limbs instead of 64 bit.

Signed-off-by: Gabor Mezei <gabor.mezei@arm.com>
2022-08-12 18:00:33 +02:00
Janos Follath
6318468183 Improve bignum documentation
Signed-off-by: Janos Follath <janos.follath@arm.com>
2022-08-11 17:42:59 +01:00
Janos Follath
9dfb5621ff Test little endian core I/O with odd limbs
Signed-off-by: Janos Follath <janos.follath@arm.com>
2022-08-11 12:15:55 +01:00
Janos Follath
1cb3b976c3 Test big endian core I/O with odd limbs
Signed-off-by: Janos Follath <janos.follath@arm.com>
2022-08-11 12:06:14 +01:00
Janos Follath
1694969a0a Bignum: Add tests for modulus setup and free
Signed-off-by: Janos Follath <janos.follath@arm.com>
2022-08-08 13:37:20 +01:00
Gabor Mezei
23a1ce90ec Add tests for mbedtls_mpi_mod_raw read/write functions
Signed-off-by: Gabor Mezei <gabor.mezei@arm.com>
2022-08-05 17:10:47 +01:00
Janos Follath
23bdeca64d Add core constant time comparison
Unfortunately reusing the new function from the signed constant time
comparison is not trivial.

One option would be to do temporary conditional swaps which would prevent
qualifying input to const. Another way would be to add an additional
flag for the sign and make it an integral part of the computation, which
would defeat the purpose of having an unsigned core comparison.

Going with two separate function for now and the signed version can be
retired/compiled out with the legacy API eventually.

The new function in theory could be placed into either
`library/constant_time.c` or `library/bignum_new.c`. Going with the
first as the other functions in the second are not constant time yet and
this distinction seems more valuable for new (as opposed to belonging to
the `_core` functions.

Signed-off-by: Janos Follath <janos.follath@arm.com>
2022-08-05 17:08:52 +01:00
Janos Follath
91dc67d31c Allow (NULL, 0) as a representation of 0
- We don't check for NULL pointers this deep in the library
- Accessing a NULL pointer when the limb number is 0 as a mistake is the
  very similar to any other out of bounds access
- We could potentially mandate at least 1 limb representation for 0 but
  we either would need to enforce it or the implementation would be less
  robust.
- Allowing zero limb representation - (NULL, 0) in particular - for zero
  is present in the legacy interface, if we disallow it, the
  compatibility code will need to deal with this (more code size and
  opportunities for mistakes)

In summary, interpreting (NULL, 0) as the number zero in the core
interface is the least of the two evils.

Signed-off-by: Janos Follath <janos.follath@arm.com>
2022-08-05 17:08:52 +01:00
Janos Follath
6ff3536de5 Add tests for little endian core I/O
Signed-off-by: Janos Follath <janos.follath@arm.com>
2022-08-05 17:08:49 +01:00
Janos Follath
f1d617deb8 Add tests for big endian core I/O
The test case where there were extra limbs in the MPI failed and this
commit contains the corresponding fix as well. (We used to use the
minimum required limbs instead of the actual limbs present.)

Signed-off-by: Janos Follath <janos.follath@arm.com>
2022-08-05 17:06:31 +01:00
Werner Lewis
dc47fe71df Use upper case for bignum string comparison
Test data which is compared as a hex string now uses upper case to
match output of mbedtls_mpi_write_string() output. This removes usage
of strcasecmp().

Signed-off-by: Werner Lewis <werner.lewis@arm.com>
2022-08-01 15:17:45 +01:00
Werner Lewis
a453c14a12 Remove radix arguments from tests added in 3.2
Signed-off-by: Werner Lewis <werner.lewis@arm.com>
2022-08-01 15:07:14 +01:00
Werner Lewis
f65a327111 Remove remaining bignum radix args
Functions which are not covered by script, changes made to use radix
16.

Signed-off-by: Werner Lewis <werner.lewis@arm.com>
2022-08-01 15:07:14 +01:00
Werner Lewis
9802d36168 Remove radix arg from bignum tests
Cases where radix was explictly declared are removed in most cases,
replaced using script. bignum arguments are represented as hexadecimal
strings. This reduces clutter in test data and makes bit patterns
clearer.

Signed-off-by: Werner Lewis <werner.lewis@arm.com>
2022-08-01 15:07:14 +01:00
Gilles Peskine
ae25bb043c Fix null pointer dereference in mpi_mod_int(0, 2)
Fix a null pointer dereference when performing some operations on zero
represented with 0 limbs: mbedtls_mpi_mod_int() dividing by 2, or
mbedtls_mpi_write_string() in base 2.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2022-06-09 19:32:46 +02:00
Gilles Peskine
2a3041f74e Fix copypasta in test data
Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:47:21 +02:00
Gilles Peskine
bd5d6ef8de Fix copypasta in test cases
Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:47:21 +02:00
Gilles Peskine
8998770771 Annotate the choice of representation of 0 in more places
Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:47:21 +02:00
Gilles Peskine
8f70d3f4e2 Improve coverage of mbedtls_mpi_cmp_mpi
Test with and without leading zeros on each side.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:47:21 +02:00
Gilles Peskine
d96b3650ec In test cases where the result is 0, express it as "0", not ""
Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:47:21 +02:00
Gilles Peskine
997be0aba3 Fix multiplication with negative result and a low-order 0 limb
Fix a bug introduced in "Fix multiplication producing a negative zero" that
caused the sign to be forced to +1 when A > 0, B < 0 and B's low-order limb
is 0.

Add a non-regression test. More generally, systematically test combinations
of leading zeros, trailing zeros and signs.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:47:21 +02:00
Gilles Peskine
3f1c3c9605 Tweak grouping of GCD test cases
Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:47:21 +02:00
Gilles Peskine
9466d81fe8 Make GCD test descriptions more uniform
Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:47:21 +02:00
Gilles Peskine
7cba859235 mbedtls_mpi_read_string: make an empty bignum for an empty string
In mbedtls_mpi_read_string, if the string is empty, return an empty bignum
rather than a bignum with one limb with the value 0.

Both representations are correct, so this is not, in principle, a
user-visible change. The change does leak however through
mbedtls_mpi_write_string in base 16 (but not in other bases), as it writes a
bignum with 0 limbs as "" but a bignum with the value 0 and at least one
limb as "00".

This change makes it possible to construct an empty bignum through
mbedtls_mpi_read_string, which is especially useful to construct test
cases (a common use of mbedtls_mpi_read_string, as most formats use in
production encode numbers in binary, to be read with mbedtls_mpi_read_binary
or mbedtls_mpi_read_binary_le).

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:47:21 +02:00
Gilles Peskine
f4998b0a20 Fix multiplication producing a negative zero
Fix mbedtls_mpi_mul_mpi() when one of the operands is zero and the
other is negative. The sign of the result must be 1, since some
library functions do not treat {-1, 0, NULL} or {-1, n, {0}} as
representing the value 0.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:47:21 +02:00
Gilles Peskine
3da1a8ff39 Fix null pointer dereference in mbedtls_mpi_exp_mod
Fix a null pointer dereference in mbedtls_mpi_exp_mod(X, A, N, E, _RR) when
A is the value 0 represented with 0 limbs.

Make the code a little more robust against similar bugs.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:44:05 +02:00
Gilles Peskine
3637488eb4 Add many test cases involving 0
Test both 0 represented with 0 limbs ("0 (null)") and 0 represented
with 1 limb ("0 (1 limb)"), because occasionally there are bugs with
0-limb bignums and occasionally there are bugs with removing leading
zero limbs.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:44:05 +02:00
Gilles Peskine
424390c517 mbedtls_mpi_exp_mod test: don't read RR from test data
Remove the RR parameter to the mbedtls_mpi_exp_mod test function.
It was never used in the test data, so there is no loss of functionality.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:44:05 +02:00
Gilles Peskine
9e9314ff93 Add some GCD tests
Add GCD tests with negative arguments and with large non-co-prime arguments.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:44:05 +02:00
Gilles Peskine
d0722f8e71 Test mbedtls_mpi_safe_cond_{assign,swap} with the basic functions
Test mbedtls_mpi_safe_cond_assign() and mbedtls_mpi_safe_cond_swap()
with their "unsafe" counterparts mbedtls_mpi_copy() and
mbedtls_mpi_swap(). This way we don't need to repeat the coverage of
test cases.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:44:05 +02:00
Gilles Peskine
fc1eeefc99 Overhaul testing of mbedtls_mpi_swap
Similarly to "Overhaul testing of mbedtls_mpi_copy", simplify the code
to test mbedtls_mpi_swap to have just one function for distinct MPIs
and one function for swapping an MPI with itself, covering all cases
of size (0, 1, >1) and sign (>0, <0).

The test cases are exactly the same as for mbedtls_mpi_copy with the
following replacements:
* `Copy` -> `Swap`
* ` to ` -> ` with `
* `_copy` -> `_swap`

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:44:05 +02:00
Gilles Peskine
90ec8e857c Overhaul testing of mbedtls_mpi_copy
Replace the two test functions mbedtls_mpi_copy_sint (supporting signed
inputs but always with exactly one limb) and mbedtls_mpi_copy_binary
(supporting arbitrary-sized inputs but not negative inputs) by a single
function that supports both arbitrary-sized inputs and arbitrary-signed
inputs. This will allows testing combinations like negative source and
zero-sized destination.

Also generalize mpi_copy_self to support arbitrary inputs.

Generate a new list of test cases systematically enumerating all
possibilities among various categories: zero with 0 or 1 limb, negative or
positive with 1 limb, negative or positive with >1 limb. I used the
following Perl script:

```
sub rhs { $_ = $_[0]; s/bead/beef/; s/ca5cadedb01dfaceacc01ade/face1e55ca11ab1ecab005e5/; $_ }
%v = (
    "zero (null)" => "",
    "zero (1 limb)" => "0",
    "small positive" => "bead",
    "large positive" => "ca5cadedb01dfaceacc01ade",
    "small negative" => "-bead",
    "large negative" => "-ca5cadedb01dfaceacc01ade",
);
foreach $s (sort keys %v) {
    foreach $d (sort keys %v) {
        printf "Copy %s to %s\nmbedtls_mpi_copy:\"%s\":\"%s\"\n\n",
               $s, $d, $v{$s}, rhs($v{$d});
    }
}
foreach $s (sort keys %v) {
    printf "Copy self: %s\nmpi_copy_self:\"%s\"\n\n", $s, $v{$s};
}
```

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:44:05 +02:00
Gilles Peskine
5fb6f700ba Clarify a few test descriptions (mostly involving 0)
Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-22 12:43:00 +02:00
TRodziewicz
0730cd5d9e Merge branch 'development' into Remove__CHECK_PARAMS_option 2021-06-07 15:41:49 +02:00
Gilles Peskine
9077e435c6 Fix mistakes in test case descriptions
Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-03 18:10:04 +02:00
Gilles Peskine
0cb493d239 Note that the "0 limb in ..." tests rely on undocumented behavior
Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-03 18:10:04 +02:00
Gilles Peskine
0ad640ab83 MPI random test: Add test cases with lower_bound > upper_bound
Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-03 18:10:04 +02:00
Gilles Peskine
951b5695e3 MPI random test: Add a few more small-range tests
Do more iterations with small values. This makes it more likely that a
mistake on bounds will be detected.

Signed-off-by: Gilles Peskine <Gilles.Peskine@arm.com>
2021-06-03 18:10:04 +02:00