f334d9622b
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> |
||
---|---|---|
.github | ||
3rdparty | ||
ChangeLog.d | ||
cmake | ||
configs | ||
docs | ||
doxygen | ||
include | ||
library | ||
programs | ||
scripts | ||
tests | ||
visualc/VS2010 | ||
.gitignore | ||
.globalrc | ||
.mypy.ini | ||
.pylintrc | ||
.travis.yml | ||
BRANCHES.md | ||
BUGS.md | ||
ChangeLog | ||
CMakeLists.txt | ||
CONTRIBUTING.md | ||
DartConfiguration.tcl | ||
dco.txt | ||
LICENSE | ||
Makefile | ||
README.md | ||
SECURITY.md | ||
SUPPORT.md |
README for Mbed TLS
Mbed TLS is a C library that implements cryptographic primitives, X.509 certificate manipulation and the SSL/TLS and DTLS protocols. Its small code footprint makes it suitable for embedded systems.
Mbed TLS includes a reference implementation of the PSA Cryptography API. This is currently a preview for evaluation purposes only.
Configuration
Mbed TLS should build out of the box on most systems. Some platform specific options are available in the fully documented configuration file include/mbedtls/mbedtls_config.h
, which is also the place where features can be selected. This file can be edited manually, or in a more programmatic way using the Python 3 script scripts/config.py
(use --help
for usage instructions).
Compiler options can be set using conventional environment variables such as CC
and CFLAGS
when using the Make and CMake build system (see below).
We provide some non-standard configurations focused on specific use cases in the configs/
directory. You can read more about those in configs/README.txt
Documentation
Documentation for the Mbed TLS interfaces in the default library configuration is available as part of the Mbed TLS documentation.
To generate a local copy of the library documentation in HTML format, tailored to your compile-time configuration:
- Make sure that Doxygen is installed.
- Run
make apidoc
. - Browse
apidoc/index.html
orapidoc/modules.html
.
For other sources of documentation, see the SUPPORT document.
Compiling
There are currently three active build systems used within Mbed TLS releases:
- GNU Make
- CMake
- Microsoft Visual Studio
The main systems used for development are CMake and GNU Make. Those systems are always complete and up-to-date. The others should reflect all changes present in the CMake and Make build system, although features may not be ported there automatically.
The Make and CMake build systems create three libraries: libmbedcrypto, libmbedx509, and libmbedtls. Note that libmbedtls depends on libmbedx509 and libmbedcrypto, and libmbedx509 depends on libmbedcrypto. As a result, some linkers will expect flags to be in a specific order, for example the GNU linker wants -lmbedtls -lmbedx509 -lmbedcrypto
.
Tool versions
You need the following tools to build the library with the provided makefiles:
- GNU Make 3.82 or a build tool that CMake supports.
- A C99 toolchain (compiler, linker, archiver). We actively test with GCC 5.4, Clang 3.8, IAR 8 and Visual Studio 2013. More recent versions should work. Slightly older versions may work.
- Python 3.6 to generate the test code, and to generate sample programs in the development branch.
- Perl to run the tests, and to generate some source files in the development branch.
- CMake 3.10.2 or later (if using CMake).
- Microsoft Visual Studio 2013 or later (if using Visual Studio).
- Doxygen 1.8.11 or later (if building the documentation; slightly older versions should work).
Generated source files in the development branch
The source code of Mbed TLS includes some files that are automatically generated by scripts and whose content depends only on the Mbed TLS source, not on the platform or on the library configuration. These files are not included in the development branch of Mbed TLS, but the generated files are included in official releases. This section explains how to generate the missing files in the development branch.
The following tools are required:
- Perl, for some library source files and for Visual Studio build files.
- Python 3 and some Python packages, for some library source files, sample programs and test data. To install the necessary packages, run
python -m pip install -r scripts/basic.requirements.txt
- A C compiler for the host platform, for some test data.
If you are cross-compiling, you must set the CC
environment variable to a C compiler for the host platform when generating the configuration-independent files.
Any of the following methods are available to generate the configuration-independent files:
- If not cross-compiling, running
make
with any target, or justmake
, will automatically generate required files. - On non-Windows systems, when not cross-compiling, CMake will generate the required files automatically.
- Run
make generated_files
to generate all the configuration-independent files. - On Unix/POSIX systems, run
tests/scripts/check-generated-files.sh -u
to generate all the configuration-independent files. - On Windows, run
scripts\make_generated_files.bat
to generate all the configuration-independent files.
Make
We require GNU Make. To build the library and the sample programs, GNU Make and a C compiler are sufficient. Some of the more advanced build targets require some Unix/Linux tools.
We intentionally only use a minimum of functionality in the makefiles in order to keep them as simple and independent of different toolchains as possible, to allow users to more easily move between different platforms. Users who need more features are recommended to use CMake.
In order to build from the source code using GNU Make, just enter at the command line:
make
In order to run the tests, enter:
make check
The tests need Python to be built and Perl to be run. If you don't have one of them installed, you can skip building the tests with:
make no_test
You'll still be able to run a much smaller set of tests with:
programs/test/selftest
In order to build for a Windows platform, you should use WINDOWS_BUILD=1
if the target is Windows but the build environment is Unix-like (for instance when cross-compiling, or compiling from an MSYS shell), and WINDOWS=1
if the build environment is a Windows shell (for instance using mingw32-make) (in that case some targets will not be available).
Setting the variable SHARED
in your environment will build shared libraries in addition to the static libraries. Setting DEBUG
gives you a debug build. You can override CFLAGS
and LDFLAGS
by setting them in your environment or on the make command line; compiler warning options may be overridden separately using WARNING_CFLAGS
. Some directory-specific options (for example, -I
directives) are still preserved.
Please note that setting CFLAGS
overrides its default value of -O2
and setting WARNING_CFLAGS
overrides its default value (starting with -Wall -Wextra
), so if you just want to add some warning options to the default ones, you can do so by setting CFLAGS=-O2 -Werror
for example. Setting WARNING_CFLAGS
is useful when you want to get rid of its default content (for example because your compiler doesn't accept -Wall
as an option). Directory-specific options cannot be overridden from the command line.
Depending on your platform, you might run into some issues. Please check the Makefiles in library/
, programs/
and tests/
for options to manually add or remove for specific platforms. You can also check the Mbed TLS Knowledge Base for articles on your platform or issue.
In case you find that you need to do something else as well, please let us know what, so we can add it to the Mbed TLS Knowledge Base.
CMake
In order to build the source using CMake in a separate directory (recommended), just enter at the command line:
mkdir /path/to/build_dir && cd /path/to/build_dir
cmake /path/to/mbedtls_source
cmake --build .
In order to run the tests, enter:
ctest
The test suites need Python to be built and Perl to be executed. If you don't have one of these installed, you'll want to disable the test suites with:
cmake -DENABLE_TESTING=Off /path/to/mbedtls_source
If you disabled the test suites, but kept the programs enabled, you can still run a much smaller set of tests with:
programs/test/selftest
To configure CMake for building shared libraries, use:
cmake -DUSE_SHARED_MBEDTLS_LIBRARY=On /path/to/mbedtls_source
There are many different build modes available within the CMake buildsystem. Most of them are available for gcc and clang, though some are compiler-specific:
Release
. This generates the default code without any unnecessary information in the binary files.Debug
. This generates debug information and disables optimization of the code.Coverage
. This generates code coverage information in addition to debug information.ASan
. This instruments the code with AddressSanitizer to check for memory errors. (This includes LeakSanitizer, with recent version of gcc and clang.) (With recent version of clang, this mode also instruments the code with UndefinedSanitizer to check for undefined behaviour.)ASanDbg
. Same as ASan but slower, with debug information and better stack traces.MemSan
. This instruments the code with MemorySanitizer to check for uninitialised memory reads. Experimental, needs recent clang on Linux/x86_64.MemSanDbg
. Same as MemSan but slower, with debug information, better stack traces and origin tracking.Check
. This activates the compiler warnings that depend on optimization and treats all warnings as errors.
Switching build modes in CMake is simple. For debug mode, enter at the command line:
cmake -D CMAKE_BUILD_TYPE=Debug /path/to/mbedtls_source
To list other available CMake options, use:
cmake -LH
Note that, with CMake, you can't adjust the compiler or its flags after the
initial invocation of cmake. This means that CC=your_cc make
and make CC=your_cc
will not work (similarly with CFLAGS
and other variables).
These variables need to be adjusted when invoking cmake for the first time,
for example:
CC=your_cc cmake /path/to/mbedtls_source
If you already invoked cmake and want to change those settings, you need to remove the build directory and create it again.
Note that it is possible to build in-place; this will however overwrite the
provided Makefiles (see scripts/tmp_ignore_makefiles.sh
if you want to
prevent git status
from showing them as modified). In order to do so, from
the Mbed TLS source directory, use:
cmake .
make
If you want to change CC
or CFLAGS
afterwards, you will need to remove the
CMake cache. This can be done with the following command using GNU find:
find . -iname '*cmake*' -not -name CMakeLists.txt -exec rm -rf {} +
You can now make the desired change:
CC=your_cc cmake .
make
Regarding variables, also note that if you set CFLAGS when invoking cmake, your value of CFLAGS doesn't override the content provided by cmake (depending on the build mode as seen above), it's merely prepended to it.
Consuming Mbed TLS
Mbed TLS provides a package config file for consumption as a dependency in other CMake projects. You can include Mbed TLS's CMake targets yourself with:
find_package(MbedTLS)
If prompted, set MbedTLS_DIR
to ${YOUR_MBEDTLS_INSTALL_DIR}/cmake
. This
creates the following targets:
MbedTLS::mbedcrypto
(Crypto library)MbedTLS::mbedtls
(TLS library)MbedTLS::mbedx509
(X509 library)
You can then use these directly through target_link_libraries()
:
add_executable(xyz)
target_link_libraries(xyz
PUBLIC MbedTLS::mbedtls
MbedTLS::mbedcrypto
MbedTLS::mbedx509)
This will link the Mbed TLS libraries to your library or application, and add
its include directories to your target (transitively, in the case of PUBLIC
or
INTERFACE
link libraries).
Mbed TLS as a subproject
Mbed TLS supports being built as a CMake subproject. One can
use add_subdirectory()
from a parent CMake project to include Mbed TLS as a
subproject.
Microsoft Visual Studio
The build files for Microsoft Visual Studio are generated for Visual Studio 2010.
The solution file mbedTLS.sln
contains all the basic projects needed to build the library and all the programs. The files in tests are not generated and compiled, as these need Python and perl environments as well. However, the selftest program in programs/test/
is still available.
In the development branch of Mbed TLS, the Visual Studio solution files need to be generated first as described in “Generated source files in the development branch”.
Example programs
We've included example programs for a lot of different features and uses in programs/
.
Please note that the goal of these sample programs is to demonstrate specific features of the library, and the code may need to be adapted to build a real-world application.
Tests
Mbed TLS includes an elaborate test suite in tests/
that initially requires Python to generate the tests files (e.g. test\_suite\_mpi.c
). These files are generated from a function file
(e.g. suites/test\_suite\_mpi.function
) and a data file
(e.g. suites/test\_suite\_mpi.data
). The function file
contains the test functions. The data file
contains the test cases, specified as parameters that will be passed to the test function.
For machines with a Unix shell and OpenSSL (and optionally GnuTLS) installed, additional test scripts are available:
tests/ssl-opt.sh
runs integration tests for various TLS options (renegotiation, resumption, etc.) and tests interoperability of these options with other implementations.tests/compat.sh
tests interoperability of every ciphersuite with other implementations.tests/scripts/test-ref-configs.pl
test builds in various reduced configurations.tests/scripts/key-exchanges.pl
test builds in configurations with a single key exchange enabledtests/scripts/all.sh
runs a combination of the above tests, plus some more, with various build options (such as ASan, fullmbedtls_config.h
, etc).
Porting Mbed TLS
Mbed TLS can be ported to many different architectures, OS's and platforms. Before starting a port, you may find the following Knowledge Base articles useful:
- Porting Mbed TLS to a new environment or OS
- What external dependencies does Mbed TLS rely on?
- How do I configure Mbed TLS
Mbed TLS is mostly written in portable C99; however, it has a few platform requirements that go beyond the standard, but are met by most modern architectures:
- Bytes must be 8 bits.
- All-bits-zero must be a valid representation of a null pointer.
- Signed integers must be represented using two's complement.
int
andsize_t
must be at least 32 bits wide.- The types
uint8_t
,uint16_t
,uint32_t
and their signed equivalents must be available.
PSA cryptography API
PSA API design
Arm's Platform Security Architecture (PSA) is a holistic set of threat models, security analyses, hardware and firmware architecture specifications, and an open source firmware reference implementation. PSA provides a recipe, based on industry best practice, that allows security to be consistently designed in, at both a hardware and firmware level.
The PSA cryptography API provides access to a set of cryptographic primitives. It has a dual purpose. First, it can be used in a PSA-compliant platform to build services, such as secure boot, secure storage and secure communication. Second, it can also be used independently of other PSA components on any platform.
The design goals of the PSA cryptography API include:
- The API distinguishes caller memory from internal memory, which allows the library to be implemented in an isolated space for additional security. Library calls can be implemented as direct function calls if isolation is not desired, and as remote procedure calls if isolation is desired.
- The structure of internal data is hidden to the application, which allows substituting alternative implementations at build time or run time, for example, in order to take advantage of hardware accelerators.
- All access to the keys happens through key identifiers, which allows support for external cryptoprocessors that is transparent to applications.
- The interface to algorithms is generic, favoring algorithm agility.
- The interface is designed to be easy to use and hard to accidentally misuse.
Arm welcomes feedback on the design of the API. If you think something could be improved, please open an issue on our Github repository. Alternatively, if you prefer to provide your feedback privately, please email us at mbed-crypto@arm.com
. All feedback received by email is treated confidentially.
PSA API documentation
A browsable copy of the PSA Cryptography API documents is available on the PSA cryptography interfaces documentation portal in PDF and HTML formats.
PSA implementation in Mbed TLS
Mbed TLS includes a reference implementation of the PSA Cryptography API. However, it does not aim to implement the whole specification; in particular it does not implement all the algorithms.
The X.509 and TLS code can use PSA cryptography for most operations. To enable this support, activate the compilation option MBEDTLS_USE_PSA_CRYPTO
in mbedtls_config.h
. Note that TLS 1.3 uses PSA cryptography for most operations regardless of this option. See docs/use-psa-crypto.md
for details.
Upcoming features
Future releases of this library will include:
- A driver programming interface, which makes it possible to use hardware accelerators instead of the default software implementation for chosen algorithms.
- Support for external keys to be stored and manipulated exclusively in a separate cryptoprocessor.
- A configuration mechanism to compile only the algorithms you need for your application.
- A wider set of cryptographic algorithms.
License
Unless specifically indicated otherwise in a file, Mbed TLS files are provided under the Apache-2.0 license. See the LICENSE file for the full text of this license. Contributors must accept that their contributions are made under both the Apache-2.0 AND GPL-2.0-or-later licenses. This enables LTS (Long Term Support) branches of the software to be provided under either the Apache-2.0 OR GPL-2.0-or-later licenses.
Contributing
We gratefully accept bug reports and contributions from the community. Please see the contributing guidelines for details on how to do this.
Contact
- To report a security vulnerability in Mbed TLS, please email mbed-tls-security@lists.trustedfirmware.org. For more information, see
SECURITY.md
. - To report a bug or request a feature in Mbed TLS, please file an issue on GitHub.
- Please see
SUPPORT.md
for other channels for discussion and support about Mbed TLS.