/* t-cv25519.c - Check the cv25519 crypto * Copyright (C) 2016 g10 Code GmbH * * This file is part of Libgcrypt. * * Libgcrypt is free software; you can redistribute it and/or modify * it under the terms of the GNU Lesser General Public License as * published by the Free Software Foundation; either version 2.1 of * the License, or (at your option) any later version. * * Libgcrypt is distributed in the hope that it will be useful, * but WITHOUT ANY WARRANTY; without even the implied warranty of * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the * GNU Lesser General Public License for more details. * * You should have received a copy of the GNU Lesser General Public * License along with this program; if not, see . */ #ifdef HAVE_CONFIG_H #include #endif #include #include #include #include #include #include #include "stopwatch.h" #define PGM "t-cv25519" #include "t-common.h" #define N_TESTS 18 static void print_mpi (const char *text, gcry_mpi_t a) { gcry_error_t err; char *buf; void *bufaddr = &buf; err = gcry_mpi_aprint (GCRYMPI_FMT_HEX, bufaddr, NULL, a); if (err) fprintf (stderr, "%s: [error printing number: %s]\n", text, gpg_strerror (err)); else { fprintf (stderr, "%s: %s\n", text, buf); gcry_free (buf); } } static void show_note (const char *format, ...) { va_list arg_ptr; if (!verbose && getenv ("srcdir")) fputs (" ", stderr); /* To align above "PASS: ". */ else fprintf (stderr, "%s: ", PGM); va_start (arg_ptr, format); vfprintf (stderr, format, arg_ptr); if (*format && format[strlen(format)-1] != '\n') putc ('\n', stderr); va_end (arg_ptr); } /* Convert STRING consisting of hex characters into its binary representation and return it as an allocated buffer. The valid length of the buffer is returned at R_LENGTH. The string is delimited by end of string. The function returns NULL on error. */ static void * hex2buffer (const char *string, size_t *r_length) { const char *s; unsigned char *buffer; size_t length; buffer = xmalloc (strlen(string)/2+1); length = 0; for (s=string; *s; s +=2 ) { if (!hexdigitp (s) || !hexdigitp (s+1)) return NULL; /* Invalid hex digits. */ ((unsigned char*)buffer)[length++] = xtoi_2 (s); } *r_length = length; return buffer; } static void reverse_buffer (unsigned char *buffer, unsigned int length) { unsigned int tmp, i; for (i=0; i < length/2; i++) { tmp = buffer[i]; buffer[i] = buffer[length-1-i]; buffer[length-1-i] = tmp; } } /* * Test X25519 functionality through higher layer crypto routines. * * Input: K (as hex string), U (as hex string), R (as hex string) * * where R is expected result of X25519 (K, U). * * It calls gcry_pk_decrypt with Curve25519 private key and let * it compute X25519. */ static void test_cv (int testno, const char *k_str, const char *u_str, const char *result_str) { gpg_error_t err; void *buffer = NULL; size_t buflen; gcry_sexp_t s_pk = NULL; gcry_mpi_t mpi_k = NULL; gcry_sexp_t s_data = NULL; gcry_sexp_t s_result = NULL; gcry_sexp_t s_tmp = NULL; unsigned char *res = NULL; size_t res_len; if (verbose > 1) info ("Running test %d\n", testno); if (!(buffer = hex2buffer (k_str, &buflen)) || buflen != 32) { fail ("error building s-exp for test %d, %s: %s", testno, "k", "invalid hex string"); goto leave; } reverse_buffer (buffer, buflen); if ((err = gcry_mpi_scan (&mpi_k, GCRYMPI_FMT_USG, buffer, buflen, NULL))) { fail ("error converting MPI for test %d: %s", testno, gpg_strerror (err)); goto leave; } if ((err = gcry_sexp_build (&s_data, NULL, "%m", mpi_k))) { fail ("error building s-exp for test %d, %s: %s", testno, "data", gpg_strerror (err)); goto leave; } xfree (buffer); if (!(buffer = hex2buffer (u_str, &buflen)) || buflen != 32) { fail ("error building s-exp for test %d, %s: %s", testno, "u", "invalid hex string"); goto leave; } /* * The procedure of decodeUCoordinate will be done internally * by _gcry_ecc_mont_decodepoint. So, we just put the little-endian * binary to build S-exp. * * We could add the prefix 0x40, but libgcrypt also supports * format with no prefix. So, it is OK not to put the prefix. */ if ((err = gcry_sexp_build (&s_pk, NULL, "(public-key" " (ecc" " (curve \"Curve25519\")" " (flags djb-tweak)" " (q%b)))", (int)buflen, buffer))) { fail ("error building s-exp for test %d, %s: %s", testno, "pk", gpg_strerror (err)); goto leave; } xfree (buffer); buffer = NULL; if ((err = gcry_pk_encrypt (&s_result, s_data, s_pk))) fail ("gcry_pk_encrypt failed for test %d: %s", testno, gpg_strerror (err)); s_tmp = gcry_sexp_find_token (s_result, "s", 0); if (!s_tmp || !(res = gcry_sexp_nth_buffer (s_tmp, 1, &res_len))) fail ("gcry_pk_encrypt failed for test %d: %s", testno, "missing value"); else { char *r, *r0; int i; /* To skip the prefix 0x40, for-loop start with i=1 */ r0 = r = xmalloc (2*(res_len)+1); if (!r0) { fail ("memory allocation for test %d", testno); goto leave; } for (i=1; i < res_len; i++, r += 2) snprintf (r, 3, "%02x", res[i]); if (strcmp (result_str, r0)) { fail ("gcry_pk_encrypt failed for test %d: %s", testno, "wrong value returned"); info (" expected: '%s'", result_str); info (" got: '%s'", r0); } xfree (r0); } leave: xfree (res); gcry_mpi_release (mpi_k); gcry_sexp_release (s_tmp); gcry_sexp_release (s_result); gcry_sexp_release (s_data); gcry_sexp_release (s_pk); xfree (buffer); } /* * Test iterative X25519 computation through lower layer MPI routines. * * Input: K (as hex string), ITER, R (as hex string) * * where R is expected result of iterating X25519 by ITER times. * */ static void test_it (int testno, const char *k_str, int iter, const char *result_str) { gcry_ctx_t ctx; gpg_error_t err; void *buffer = NULL; size_t buflen; gcry_mpi_t mpi_k = NULL; gcry_mpi_t mpi_x = NULL; gcry_mpi_point_t P = NULL; gcry_mpi_point_t Q; int i; gcry_mpi_t mpi_kk = NULL; if (verbose > 1) info ("Running test %d: iteration=%d\n", testno, iter); gcry_mpi_ec_new (&ctx, NULL, "Curve25519"); Q = gcry_mpi_point_new (0); if (!(buffer = hex2buffer (k_str, &buflen)) || buflen != 32) { fail ("error scanning MPI for test %d, %s: %s", testno, "k", "invalid hex string"); goto leave; } reverse_buffer (buffer, buflen); if ((err = gcry_mpi_scan (&mpi_x, GCRYMPI_FMT_USG, buffer, buflen, NULL))) { fail ("error scanning MPI for test %d, %s: %s", testno, "x", gpg_strerror (err)); goto leave; } xfree (buffer); buffer = NULL; P = gcry_mpi_point_set (NULL, mpi_x, NULL, GCRYMPI_CONST_ONE); mpi_k = gcry_mpi_copy (mpi_x); if (debug) print_mpi ("k", mpi_k); for (i = 0; i < iter; i++) { /* * Another variant of decodeScalar25519 thing. */ mpi_kk = gcry_mpi_set (mpi_kk, mpi_k); gcry_mpi_set_bit (mpi_kk, 254); gcry_mpi_clear_bit (mpi_kk, 255); gcry_mpi_clear_bit (mpi_kk, 0); gcry_mpi_clear_bit (mpi_kk, 1); gcry_mpi_clear_bit (mpi_kk, 2); gcry_mpi_ec_mul (Q, mpi_kk, P, ctx); P = gcry_mpi_point_set (P, mpi_k, NULL, GCRYMPI_CONST_ONE); gcry_mpi_ec_get_affine (mpi_k, NULL, Q, ctx); if (debug) print_mpi ("k", mpi_k); } { unsigned char res[32]; char *r, *r0; gcry_mpi_print (GCRYMPI_FMT_USG, res, 32, NULL, mpi_k); reverse_buffer (res, 32); r0 = r = xmalloc (65); if (!r0) { fail ("memory allocation for test %d", testno); goto leave; } for (i=0; i < 32; i++, r += 2) snprintf (r, 3, "%02x", res[i]); if (strcmp (result_str, r0)) { fail ("curv25519 failed for test %d: %s", testno, "wrong value returned"); info (" expected: '%s'", result_str); info (" got: '%s'", r0); } xfree (r0); } leave: gcry_mpi_release (mpi_kk); gcry_mpi_release (mpi_k); gcry_mpi_point_release (P); gcry_mpi_release (mpi_x); xfree (buffer); gcry_mpi_point_release (Q); gcry_ctx_release (ctx); } /* * X-coordinate of generator of the Curve25519. */ #define G_X "0900000000000000000000000000000000000000000000000000000000000000" /* * Test Diffie-Hellman in RFC-7748. * * Note that it's not like the ECDH of OpenPGP, where we use * ephemeral public key. */ static void test_dh (int testno, const char *a_priv_str, const char *a_pub_str, const char *b_priv_str, const char *b_pub_str, const char *result_str) { /* Test A for private key corresponds to public key. */ test_cv (testno, a_priv_str, G_X, a_pub_str); /* Test B for private key corresponds to public key. */ test_cv (testno, b_priv_str, G_X, b_pub_str); /* Test DH with A's private key and B's public key. */ test_cv (testno, a_priv_str, b_pub_str, result_str); /* Test DH with B's private key and A's public key. */ test_cv (testno, b_priv_str, a_pub_str, result_str); } static void check_cv25519 (void) { int ntests; info ("Checking Curve25519.\n"); ntests = 0; /* * Values are cited from RFC-7748: 5.2. Test Vectors. * Following two tests are for the first type test. */ test_cv (1, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "e6db6867583030db3594c1a424b15f7c726624ec26b3353b10a903a6d0ab1c4c", "c3da55379de9c6908e94ea4df28d084f32eccf03491c71f754b4075577a28552"); ntests++; test_cv (2, "4b66e9d4d1b4673c5ad22691957d6af5c11b6421e0ea01d42ca4169e7918ba0d", "e5210f12786811d3f4b7959d0538ae2c31dbe7106fc03c3efc4cd549c715a493", "95cbde9476e8907d7aade45cb4b873f88b595a68799fa152e6f8f7647aac7957"); ntests++; /* * Additional test. Value is from second type test. */ test_cv (3, G_X, G_X, "422c8e7a6227d7bca1350b3e2bb7279f7897b87bb6854b783c60e80311ae3079"); ntests++; /* * Following two tests are for the second type test, * with one iteration and 1,000 iterations. (1,000,000 iterations * takes too long.) */ test_it (4, G_X, 1, "422c8e7a6227d7bca1350b3e2bb7279f7897b87bb6854b783c60e80311ae3079"); ntests++; test_it (5, G_X, 1000, "684cf59ba83309552800ef566f2f4d3c1c3887c49360e3875f2eb94d99532c51"); ntests++; /* * Last test is from: 6. Diffie-Hellman, 6.1. Curve25519 */ test_dh (6, /* Alice's private key, a */ "77076d0a7318a57d3c16c17251b26645df4c2f87ebc0992ab177fba51db92c2a", /* Alice's public key, X25519(a, 9) */ "8520f0098930a754748b7ddcb43ef75a0dbf3a0d26381af4eba4a98eaa9b4e6a", /* Bob's private key, b */ "5dab087e624a8a4b79e17f8b83800ee66f3bb1292618b6fd1c2f8b27ff88e0eb", /* Bob's public key, X25519(b, 9) */ "de9edb7d7b7dc1b4d35b61c2ece435373f8343c85b78674dadfc7e146f882b4f", /* Their shared secret, K */ "4a5d9d5ba4ce2de1728e3bf480350f25e07e21c947d19e3376f09b3c1e161742"); ntests++; /* Seven tests which results 0. */ test_cv (7, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "0000000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000"); ntests++; test_cv (8, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "0100000000000000000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000000000000000000"); ntests++; test_cv (9, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "e0eb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b800", "0000000000000000000000000000000000000000000000000000000000000000"); ntests++; test_cv (10, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "5f9c95bca3508c24b1d0b1559c83ef5b04445cc4581c8e86d8224eddd09f1157", "0000000000000000000000000000000000000000000000000000000000000000"); ntests++; test_cv (11, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "ecffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", "0000000000000000000000000000000000000000000000000000000000000000"); ntests++; test_cv (12, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "edffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", "0000000000000000000000000000000000000000000000000000000000000000"); ntests++; test_cv (13, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "eeffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff7f", "0000000000000000000000000000000000000000000000000000000000000000"); ntests++; /* Five tests which resulted 0 if decodeUCoordinate didn't change MSB. */ test_cv (14, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "cdeb7a7c3b41b8ae1656e3faf19fc46ada098deb9c32b1fd866205165f49b880", "7ce548bc4919008436244d2da7a9906528fe3a6d278047654bd32d8acde9707b"); ntests++; test_cv (15, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "4c9c95bca3508c24b1d0b1559c83ef5b04445cc4581c8e86d8224eddd09f11d7", "e17902e989a034acdf7248260e2c94cdaf2fe1e72aaac7024a128058b6189939"); ntests++; test_cv (16, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "d9ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "ea6e6ddf0685c31e152d5818441ac9ac8db1a01f3d6cb5041b07443a901e7145"); ntests++; test_cv (17, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "daffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "845ddce7b3a9b3ee01a2f1fd4282ad293310f7a232cbc5459fb35d94bccc9d05"); ntests++; test_cv (18, "a546e36bf0527c9d3b16154b82465edd62144c0ac1fc5a18506a2244ba449ac4", "dbffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffff", "6989e2cb1cea159acf121b0af6bf77493189c9bd32c2dac71669b540f9488247"); ntests++; if (ntests != N_TESTS) fail ("did %d tests but expected %d", ntests, N_TESTS); else if ((ntests % 256)) show_note ("%d tests done\n", ntests); } int main (int argc, char **argv) { int last_argc = -1; if (argc) { argc--; argv++; } while (argc && last_argc != argc ) { last_argc = argc; if (!strcmp (*argv, "--")) { argc--; argv++; break; } else if (!strcmp (*argv, "--help")) { fputs ("usage: " PGM " [options]\n" "Options:\n" " --verbose print timings etc.\n" " --debug flyswatter\n", stdout); exit (0); } else if (!strcmp (*argv, "--verbose")) { verbose++; argc--; argv++; } else if (!strcmp (*argv, "--debug")) { verbose += 2; debug++; argc--; argv++; } else if (!strncmp (*argv, "--", 2)) die ("unknown option '%s'", *argv); } xgcry_control (GCRYCTL_DISABLE_SECMEM, 0); if (!gcry_check_version (GCRYPT_VERSION)) die ("version mismatch\n"); if (debug) xgcry_control (GCRYCTL_SET_DEBUG_FLAGS, 1u , 0); xgcry_control (GCRYCTL_ENABLE_QUICK_RANDOM, 0); xgcry_control (GCRYCTL_INITIALIZATION_FINISHED, 0); start_timer (); check_cv25519 (); stop_timer (); info ("All tests completed in %s. Errors: %d\n", elapsed_time (1), error_count); return !!error_count; }