nettle-bugs June 2020

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[PATCH] streebog: add to nettle-meta and nettle-meta-hashes
by Dmitry Baryshkov 05 Jun '20

05 Jun '20

Add nettle_streebog256 and nettle_streebog512 to nettle meta interface. Signed-off-by: Dmitry Baryshkov <dbaryshkov(a)gmail.com> --- nettle-meta-hashes.c | 2 ++ nettle-meta.h | 2 ++ testsuite/meta-hash-test.c | 2 ++ 3 files changed, 6 insertions(+) diff --git a/nettle-meta-hashes.c b/nettle-meta-hashes.c index 27b576cdc58c..8e96dd414d23 100644 --- a/nettle-meta-hashes.c +++ b/nettle-meta-hashes.c @@ -53,6 +53,8 @@ const struct nettle_hash * const _nettle_hashes[] = { &nettle_sha3_256, &nettle_sha3_384, &nettle_sha3_512, + &nettle_streebog256, + &nettle_streebog512, NULL }; diff --git a/nettle-meta.h b/nettle-meta.h index cbcb1e5d5ffb..6a62b653efa6 100644 --- a/nettle-meta.h +++ b/nettle-meta.h @@ -143,6 +143,8 @@ extern const struct nettle_hash nettle_sha3_224; extern const struct nettle_hash nettle_sha3_256; extern const struct nettle_hash nettle_sha3_384; extern const struct nettle_hash nettle_sha3_512; +extern const struct nettle_hash nettle_streebog256; +extern const struct nettle_hash nettle_streebog512; struct nettle_mac { diff --git a/testsuite/meta-hash-test.c b/testsuite/meta-hash-test.c index 7d863a7c386d..eb9f3698e353 100644 --- a/testsuite/meta-hash-test.c +++ b/testsuite/meta-hash-test.c @@ -20,6 +20,8 @@ const char* hashes[] = { "sha3_256", "sha3_384", "sha3_512", + "streebog256", + "streebog512" }; void -- 2.26.2

1 0

[PATCH 1/2] Implement GOST R 34.11-2012 (Streebog) hash function
by Dmitry Baryshkov 02 Jun '20

02 Jun '20

From: Dmitry Eremin-Solenikov <dbaryshkov(a)gmail.com> Signed-off-by: Dmitry Eremin-Solenikov <dbaryshkov(a)gmail.com> --- Makefile.in | 7 +- examples/nettle-benchmark.c | 3 +- hmac-streebog-meta.c | 56 ++ hmac-streebog.c | 73 ++ hmac.h | 33 + nettle-meta-hashes.c | 2 + nettle-meta-macs.c | 2 + nettle-meta.h | 4 + nettle.texinfo | 72 ++ streebog-meta.c | 44 ++ streebog.c | 1334 +++++++++++++++++++++++++++++++++++ streebog.h | 99 +++ testsuite/.gitignore | 1 + testsuite/Makefile.in | 2 +- testsuite/hmac-test.c | 17 + testsuite/meta-hash-test.c | 2 + testsuite/meta-mac-test.c | 2 + testsuite/pbkdf2-test.c | 30 +- testsuite/streebog-test.c | 81 +++ 19 files changed, 1858 insertions(+), 6 deletions(-) create mode 100644 hmac-streebog-meta.c create mode 100644 hmac-streebog.c create mode 100644 streebog-meta.c create mode 100644 streebog.c create mode 100644 streebog.h create mode 100644 testsuite/streebog-test.c diff --git a/Makefile.in b/Makefile.in index e5ccfc76b901..64ff10018af0 100644 --- a/Makefile.in +++ b/Makefile.in @@ -107,10 +107,10 @@ nettle_SOURCES = aes-decrypt-internal.c aes-decrypt.c \ gost28147.c gosthash94.c gosthash94-meta.c \ hmac.c hmac-gosthash94.c hmac-md5.c hmac-ripemd160.c \ hmac-sha1.c hmac-sha224.c hmac-sha256.c hmac-sha384.c \ - hmac-sha512.c \ + hmac-sha512.c hmac-streebog.c \ hmac-md5-meta.c hmac-ripemd160-meta.c hmac-sha1-meta.c \ hmac-sha224-meta.c hmac-sha256-meta.c hmac-sha384-meta.c \ - hmac-sha512-meta.c \ + hmac-sha512-meta.c hmac-streebog-meta.c \ knuth-lfib.c hkdf.c \ md2.c md2-meta.c md4.c md4-meta.c \ md5.c md5-compress.c md5-compat.c md5-meta.c \ @@ -137,6 +137,7 @@ nettle_SOURCES = aes-decrypt-internal.c aes-decrypt.c \ shake256.c \ serpent-set-key.c serpent-encrypt.c serpent-decrypt.c \ serpent-meta.c \ + streebog.c streebog-meta.c \ twofish.c twofish-meta.c \ umac-nh.c umac-nh-n.c umac-l2.c umac-l3.c \ umac-poly64.c umac-poly128.c umac-set-key.c \ @@ -222,7 +223,7 @@ HEADERS = aes.h arcfour.h arctwo.h asn1.h blowfish.h \ pbkdf2.h \ pgp.h pkcs1.h pss.h pss-mgf1.h realloc.h ripemd160.h rsa.h \ salsa20.h sexp.h \ - serpent.h sha.h sha1.h sha2.h sha3.h twofish.h \ + serpent.h sha.h sha1.h sha2.h sha3.h streebog.h twofish.h \ umac.h yarrow.h xts.h poly1305.h INSTALL_HEADERS = $(HEADERS) version.h @IF_MINI_GMP@ mini-gmp.h diff --git a/examples/nettle-benchmark.c b/examples/nettle-benchmark.c index 5d0e649ea726..ea52cb44becf 100644 --- a/examples/nettle-benchmark.c +++ b/examples/nettle-benchmark.c @@ -918,7 +918,8 @@ main(int argc, char **argv) &nettle_sha3_224, &nettle_sha3_256, &nettle_sha3_384, &nettle_sha3_512, &nettle_ripemd160, &nettle_gosthash94, - &nettle_gosthash94cp, + &nettle_gosthash94cp, &nettle_streebog256, + &nettle_streebog512, NULL }; diff --git a/hmac-streebog-meta.c b/hmac-streebog-meta.c new file mode 100644 index 000000000000..d6028307aa5a --- /dev/null +++ b/hmac-streebog-meta.c @@ -0,0 +1,56 @@ +/* hmac-streebog-meta.c + + Copyright (C) 2020 Dmitry Baryshkov + + This file is part of GNU Nettle. + + GNU Nettle is free software: you can redistribute it and/or + modify it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + + or + + * the GNU General Public License as published by the Free + Software Foundation; either version 2 of the License, or (at your + option) any later version. + + or both in parallel, as here. + + GNU Nettle 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 + General Public License for more details. + + You should have received copies of the GNU General Public License and + the GNU Lesser General Public License along with this program. If + not, see http://www.gnu.org/licenses/. +*/ + +#if HAVE_CONFIG_H +# include "config.h" +#endif + +#include "nettle-meta.h" + +#include "hmac.h" + +static void +hmac_streebog256_set_key_wrapper (void *ctx, const uint8_t *key) +{ + hmac_streebog256_set_key (ctx, STREEBOG256_DIGEST_SIZE, key); +} + +const struct nettle_mac nettle_hmac_streebog256 += _NETTLE_HMAC(hmac_streebog256, STREEBOG256); + +static void +hmac_streebog512_set_key_wrapper (void *ctx, const uint8_t *key) +{ + hmac_streebog512_set_key (ctx, STREEBOG512_DIGEST_SIZE, key); +} + +const struct nettle_mac nettle_hmac_streebog512 += _NETTLE_HMAC(hmac_streebog512, STREEBOG512); diff --git a/hmac-streebog.c b/hmac-streebog.c new file mode 100644 index 000000000000..3b07b95da936 --- /dev/null +++ b/hmac-streebog.c @@ -0,0 +1,73 @@ +/* hmac-streebog.c + + HMAC-Streebog message authentication code. + + Copyright (C) 2016 Dmitry Eremin-Solenikov + + This file is part of GNU Nettle. + + GNU Nettle is free software: you can redistribute it and/or + modify it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + + or + + * the GNU General Public License as published by the Free + Software Foundation; either version 2 of the License, or (at your + option) any later version. + + or both in parallel, as here. + + GNU Nettle 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 + General Public License for more details. + + You should have received copies of the GNU General Public License and + the GNU Lesser General Public License along with this program. If + not, see http://www.gnu.org/licenses/. +*/ + +#if HAVE_CONFIG_H +# include "config.h" +#endif + +#include "hmac.h" + +void +hmac_streebog512_set_key(struct hmac_streebog512_ctx *ctx, + size_t key_length, const uint8_t *key) +{ + HMAC_SET_KEY(ctx, &nettle_streebog512, key_length, key); +} + +void +hmac_streebog512_update(struct hmac_streebog512_ctx *ctx, + size_t length, const uint8_t *data) +{ + streebog512_update(&ctx->state, length, data); +} + +void +hmac_streebog512_digest(struct hmac_streebog512_ctx *ctx, + size_t length, uint8_t *digest) +{ + HMAC_DIGEST(ctx, &nettle_streebog512, length, digest); +} + +void +hmac_streebog256_set_key(struct hmac_streebog256_ctx *ctx, + size_t key_length, const uint8_t *key) +{ + HMAC_SET_KEY(ctx, &nettle_streebog256, key_length, key); +} + +void +hmac_streebog256_digest(struct hmac_streebog256_ctx *ctx, + size_t length, uint8_t *digest) +{ + HMAC_DIGEST(ctx, &nettle_streebog256, length, digest); +} diff --git a/hmac.h b/hmac.h index d9ee3400108d..72c8fd5768c4 100644 --- a/hmac.h +++ b/hmac.h @@ -41,6 +41,7 @@ #include "ripemd160.h" #include "sha1.h" #include "sha2.h" +#include "streebog.h" #ifdef __cplusplus extern "C" { @@ -75,6 +76,11 @@ extern "C" { #define hmac_gosthash94cp_set_key nettle_hmac_gosthash94cp_set_key #define hmac_gosthash94cp_update nettle_hmac_gosthash94cp_update #define hmac_gosthash94cp_digest nettle_hmac_gosthash94cp_digest +#define hmac_streebog256_set_key nettle_hmac_streebog256_set_key +#define hmac_streebog256_digest nettle_hmac_streebog256_digest +#define hmac_streebog512_set_key nettle_hmac_streebog512_set_key +#define hmac_streebog512_update nettle_hmac_streebog512_update +#define hmac_streebog512_digest nettle_hmac_streebog512_digest void hmac_set_key(void *outer, void *inner, void *state, @@ -240,6 +246,33 @@ hmac_gosthash94cp_digest(struct hmac_gosthash94cp_ctx *ctx, size_t length, uint8_t *digest); +/* hmac-streebog */ +struct hmac_streebog512_ctx HMAC_CTX(struct streebog512_ctx); + +void +hmac_streebog512_set_key(struct hmac_streebog512_ctx *ctx, + size_t key_length, const uint8_t *key); + +void +hmac_streebog512_update(struct hmac_streebog512_ctx *ctx, + size_t length, const uint8_t *data); + +void +hmac_streebog512_digest(struct hmac_streebog512_ctx *ctx, + size_t length, uint8_t *digest); + +#define hmac_streebog256_ctx hmac_streebog512_ctx + +void +hmac_streebog256_set_key(struct hmac_streebog256_ctx *ctx, + size_t key_length, const uint8_t *key); + +#define hmac_streebog256_update hmac_streebog512_update + +void +hmac_streebog256_digest(struct hmac_streebog256_ctx *ctx, + size_t length, uint8_t *digest); + #ifdef __cplusplus } #endif diff --git a/nettle-meta-hashes.c b/nettle-meta-hashes.c index 27b576cdc58c..8e96dd414d23 100644 --- a/nettle-meta-hashes.c +++ b/nettle-meta-hashes.c @@ -53,6 +53,8 @@ const struct nettle_hash * const _nettle_hashes[] = { &nettle_sha3_256, &nettle_sha3_384, &nettle_sha3_512, + &nettle_streebog256, + &nettle_streebog512, NULL }; diff --git a/nettle-meta-macs.c b/nettle-meta-macs.c index a658ee39e230..5e8f871329bb 100644 --- a/nettle-meta-macs.c +++ b/nettle-meta-macs.c @@ -48,6 +48,8 @@ const struct nettle_mac * const _nettle_macs[] = { &nettle_hmac_sha256, &nettle_hmac_sha384, &nettle_hmac_sha512, + &nettle_hmac_streebog256, + &nettle_hmac_streebog512, NULL }; diff --git a/nettle-meta.h b/nettle-meta.h index 7a6af363426b..6a62b653efa6 100644 --- a/nettle-meta.h +++ b/nettle-meta.h @@ -143,6 +143,8 @@ extern const struct nettle_hash nettle_sha3_224; extern const struct nettle_hash nettle_sha3_256; extern const struct nettle_hash nettle_sha3_384; extern const struct nettle_hash nettle_sha3_512; +extern const struct nettle_hash nettle_streebog256; +extern const struct nettle_hash nettle_streebog512; struct nettle_mac { @@ -286,6 +288,8 @@ extern const struct nettle_mac nettle_hmac_sha224; extern const struct nettle_mac nettle_hmac_sha256; extern const struct nettle_mac nettle_hmac_sha384; extern const struct nettle_mac nettle_hmac_sha512; +extern const struct nettle_mac nettle_hmac_streebog256; +extern const struct nettle_mac nettle_hmac_streebog512; #ifdef __cplusplus } diff --git a/nettle.texinfo b/nettle.texinfo index 995d5de80813..2425b4f9d331 100644 --- a/nettle.texinfo +++ b/nettle.texinfo @@ -857,6 +857,78 @@ to @var{digest}. @var{length} can be of arbitrary size. This function also resets the context. @end deftypefun +@subsubsection @acronym{STREEBOG512} + +STREEBOG512 is a member of the Streebog (GOST R 34.11-2012) family. It outputs +hash values of 512 bits, or 64 octets. Nettle defines STREEBOG512 in +@file{<nettle/streebog.h>}. + +@deftp {Context struct} {struct streebog512_ctx} +@end deftp + +@defvr Constant STREEBOG512_DIGEST_SIZE +The size of a STREEBOG512 digest, i.e. 64. +@end defvr + +@defvr Constant STREEBOG512_BLOCK_SIZE +The internal block size of STREEBOG512. Useful for some special constructions, +in particular HMAC-STREEBOG512. +@end defvr + +@deftypefun void streebog512_init (struct streebog512_ctx *@var{ctx}) +Initialize the STREEBOG512 state. +@end deftypefun + +@deftypefun void streebog512_update (struct streebog512_ctx *@var{ctx}, size_t @var{length}, const uint8_t *@var{data}) +Hash some more data. +@end deftypefun + +@deftypefun void streebog512_digest (struct streebog512_ctx *@var{ctx}, size_t @var{length}, uint8_t *@var{digest}) +Performs final processing and extracts the message digest, writing it +to @var{digest}. @var{length} may be smaller than +@code{STREEBOG512_DIGEST_SIZE}, in which case only the first @var{length} +octets of the digest are written. + +This function also resets the context in the same way as +@code{streebog512_init}. +@end deftypefun + +@subsubsection @acronym{STREEBOG256} + +STREEBOG256 is a variant of STREEBOG512, with a different initial state, and with +the output truncated to 256 bits, or 32 octets. Nettle defines STREEBOG256 in +@file{<nettle/streebog.h>}. + +@deftp {Context struct} {struct streebog256_ctx} +@end deftp + +@defvr Constant STREEBOG256_DIGEST_SIZE +The size of a STREEBOG256 digest, i.e. 32. +@end defvr + +@defvr Constant STREEBOG256_BLOCK_SIZE +The internal block size of STREEBOG256. Useful for some special constructions, +in particular HMAC-STREEBOG256. +@end defvr + +@deftypefun void streebog256_init (struct streebog256_ctx *@var{ctx}) +Initialize the STREEBOG256 state. +@end deftypefun + +@deftypefun void streebog256_update (struct streebog256_ctx *@var{ctx}, size_t @var{length}, const uint8_t *@var{data}) +Hash some more data. +@end deftypefun + +@deftypefun void streebog256_digest (struct streebog256_ctx *@var{ctx}, size_t @var{length}, uint8_t *@var{digest}) +Performs final processing and extracts the message digest, writing it +to @var{digest}. @var{length} may be smaller than +@code{STREEBOG256_DIGEST_SIZE}, in which case only the first @var{length} +octets of the digest are written. + +This function also resets the context in the same way as +@code{streebog256_init}. +@end deftypefun + @node Legacy hash functions, nettle_hash abstraction, Recommended hash functions, Hash functions @comment node-name, next, previous, up @subsection Legacy hash functions diff --git a/streebog-meta.c b/streebog-meta.c new file mode 100644 index 000000000000..b8284d5c2b0d --- /dev/null +++ b/streebog-meta.c @@ -0,0 +1,44 @@ +/* streebog-meta.c + + Copyright (C) 2012 Nikos Mavrogiannopoulos, Niels Möller + + This file is part of GNU Nettle. + + GNU Nettle is free software: you can redistribute it and/or + modify it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + + or + + * the GNU General Public License as published by the Free + Software Foundation; either version 2 of the License, or (at your + option) any later version. + + or both in parallel, as here. + + GNU Nettle 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 + General Public License for more details. + + You should have received copies of the GNU General Public License and + the GNU Lesser General Public License along with this program. If + not, see http://www.gnu.org/licenses/. +*/ + +#if HAVE_CONFIG_H +# include "config.h" +#endif + +#include "nettle-meta.h" + +#include "streebog.h" + +const struct nettle_hash nettle_streebog512 += _NETTLE_HASH(streebog512, STREEBOG512); + +const struct nettle_hash nettle_streebog256 += _NETTLE_HASH(streebog256, STREEBOG256); diff --git a/streebog.c b/streebog.c new file mode 100644 index 000000000000..bcbf5dbd8a65 --- /dev/null +++ b/streebog.c @@ -0,0 +1,1334 @@ +/* streebog.c - GOST R 34.11-2012 (Streebog) hash function + + Copyright (C) 2013-2015 Dmitry Eremin-Solenikov + + Based on my code in libgcrypt. + + This file is part of GNU Nettle. + + GNU Nettle is free software: you can redistribute it and/or + modify it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + + or + + * the GNU General Public License as published by the Free + Software Foundation; either version 2 of the License, or (at your + option) any later version. + + or both in parallel, as here. + + GNU Nettle 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 + General Public License for more details. + + You should have received copies of the GNU General Public License and + the GNU Lesser General Public License along with this program. If + not, see http://www.gnu.org/licenses/. + */ + +#if HAVE_CONFIG_H +# include "config.h" +#endif + +#include <assert.h> +#include <stdlib.h> +#include <string.h> + +#include "streebog.h" + +#include "macros.h" +#include "nettle-write.h" + + +/* Pre-computed results of multiplication of bytes on A and reordered with + Pi[]. */ +static const uint64_t streebog_table[8][256] = +{ + /* 0 */ + { 0xd01f715b5c7ef8e6ULL, 0x16fa240980778325ULL, + 0xa8a42e857ee049c8ULL, 0x6ac1068fa186465bULL, + 0x6e417bd7a2e9320bULL, 0x665c8167a437daabULL, + 0x7666681aa89617f6ULL, 0x4b959163700bdcf5ULL, + 0xf14be6b78df36248ULL, 0xc585bd689a625cffULL, + 0x9557d7fca67d82cbULL, 0x89f0b969af6dd366ULL, + 0xb0833d48749f6c35ULL, 0xa1998c23b1ecbc7cULL, + 0x8d70c431ac02a736ULL, 0xd6dfbc2fd0a8b69eULL, + 0x37aeb3e551fa198bULL, 0x0b7d128a40b5cf9cULL, + 0x5a8f2008b5780cbcULL, 0xedec882284e333e5ULL, + 0xd25fc177d3c7c2ceULL, 0x5e0f5d50b61778ecULL, + 0x1d873683c0c24cb9ULL, 0xad040bcbb45d208cULL, + 0x2f89a0285b853c76ULL, 0x5732fff6791b8d58ULL, + 0x3e9311439ef6ec3fULL, 0xc9183a809fd3c00fULL, + 0x83adf3f5260a01eeULL, 0xa6791941f4e8ef10ULL, + 0x103ae97d0ca1cd5dULL, 0x2ce948121dee1b4aULL, + 0x39738421dbf2bf53ULL, 0x093da2a6cf0cf5b4ULL, + 0xcd9847d89cbcb45fULL, 0xf9561c078b2d8ae8ULL, + 0x9c6a755a6971777fULL, 0xbc1ebaa0712ef0c5ULL, + 0x72e61542abf963a6ULL, 0x78bb5fde229eb12eULL, + 0x14ba94250fceb90dULL, 0x844d6697630e5282ULL, + 0x98ea08026a1e032fULL, 0xf06bbea144217f5cULL, + 0xdb6263d11ccb377aULL, 0x641c314b2b8ee083ULL, + 0x320e96ab9b4770cfULL, 0x1ee7deb986a96b85ULL, + 0xe96cf57a878c47b5ULL, 0xfdd6615f8842feb8ULL, + 0xc83862965601dd1bULL, 0x2ea9f83e92572162ULL, + 0xf876441142ff97fcULL, 0xeb2c455608357d9dULL, + 0x5612a7e0b0c9904cULL, 0x6c01cbfb2d500823ULL, + 0x4548a6a7fa037a2dULL, 0xabc4c6bf388b6ef4ULL, + 0xbade77d4fdf8bebdULL, 0x799b07c8eb4cac3aULL, + 0x0c9d87e805b19cf0ULL, 0xcb588aac106afa27ULL, + 0xea0c1d40c1e76089ULL, 0x2869354a1e816f1aULL, + 0xff96d17307fbc490ULL, 0x9f0a9d602f1a5043ULL, + 0x96373fc6e016a5f7ULL, 0x5292dab8b3a6e41cULL, + 0x9b8ae0382c752413ULL, 0x4f15ec3b7364a8a5ULL, + 0x3fb349555724f12bULL, 0xc7c50d4415db66d7ULL, + 0x92b7429ee379d1a7ULL, 0xd37f99611a15dfdaULL, + 0x231427c05e34a086ULL, 0xa439a96d7b51d538ULL, + 0xb403401077f01865ULL, 0xdda2aea5901d7902ULL, + 0x0a5d4a9c8967d288ULL, 0xc265280adf660f93ULL, + 0x8bb0094520d4e94eULL, 0x2a29856691385532ULL, + 0x42a833c5bf072941ULL, 0x73c64d54622b7eb2ULL, + 0x07e095624504536cULL, 0x8a905153e906f45aULL, + 0x6f6123c16b3b2f1fULL, 0xc6e55552dc097bc3ULL, + 0x4468feb133d16739ULL, 0xe211e7f0c7398829ULL, + 0xa2f96419f7879b40ULL, 0x19074bdbc3ad38e9ULL, + 0xf4ebc3f9474e0b0cULL, 0x43886bd376d53455ULL, + 0xd8028beb5aa01046ULL, 0x51f23282f5cdc320ULL, + 0xe7b1c2be0d84e16dULL, 0x081dfab006dee8a0ULL, + 0x3b33340d544b857bULL, 0x7f5bcabc679ae242ULL, + 0x0edd37c48a08a6d8ULL, 0x81ed43d9a9b33bc6ULL, + 0xb1a3655ebd4d7121ULL, 0x69a1eeb5e7ed6167ULL, + 0xf6ab73d5c8f73124ULL, 0x1a67a3e185c61fd5ULL, + 0x2dc91004d43c065eULL, 0x0240b02c8fb93a28ULL, + 0x90f7f2b26cc0eb8fULL, 0x3cd3a16f114fd617ULL, + 0xaae49ea9f15973e0ULL, 0x06c0cd748cd64e78ULL, + 0xda423bc7d5192a6eULL, 0xc345701c16b41287ULL, + 0x6d2193ede4821537ULL, 0xfcf639494190e3acULL, + 0x7c3b228621f1c57eULL, 0xfb16ac2b0494b0c0ULL, + 0xbf7e529a3745d7f9ULL, 0x6881b6a32e3f7c73ULL, + 0xca78d2bad9b8e733ULL, 0xbbfe2fc2342aa3a9ULL, + 0x0dbddffecc6381e4ULL, 0x70a6a56e2440598eULL, + 0xe4d12a844befc651ULL, 0x8c509c2765d0ba22ULL, + 0xee8c6018c28814d9ULL, 0x17da7c1f49a59e31ULL, + 0x609c4c1328e194d3ULL, 0xb3e3d57232f44b09ULL, + 0x91d7aaa4a512f69bULL, 0x0ffd6fd243dabbccULL, + 0x50d26a943c1fde34ULL, 0x6be15e9968545b4fULL, + 0x94778fea6faf9fdfULL, 0x2b09dd7058ea4826ULL, + 0x677cd9716de5c7bfULL, 0x49d5214fffb2e6ddULL, + 0x0360e83a466b273cULL, 0x1fc786af4f7b7691ULL, + 0xa0b9d435783ea168ULL, 0xd49f0c035f118cb6ULL, + 0x01205816c9d21d14ULL, 0xac2453dd7d8f3d98ULL, + 0x545217cc3f70aa64ULL, 0x26b4028e9489c9c2ULL, + 0xdec2469fd6765e3eULL, 0x04807d58036f7450ULL, + 0xe5f17292823ddb45ULL, 0xf30b569b024a5860ULL, + 0x62dcfc3fa758aefbULL, 0xe84cad6c4e5e5aa1ULL, + 0xccb81fce556ea94bULL, 0x53b282ae7a74f908ULL, + 0x1b47fbf74c1402c1ULL, 0x368eebf39828049fULL, + 0x7afbeff2ad278b06ULL, 0xbe5e0a8cfe97caedULL, + 0xcfd8f7f413058e77ULL, 0xf78b2bc301252c30ULL, + 0x4d555c17fcdd928dULL, 0x5f2f05467fc565f8ULL, + 0x24f4b2a21b30f3eaULL, 0x860dd6bbecb768aaULL, + 0x4c750401350f8f99ULL, 0x0000000000000000ULL, + 0xecccd0344d312ef1ULL, 0xb5231806be220571ULL, + 0xc105c030990d28afULL, 0x653c695de25cfd97ULL, + 0x159acc33c61ca419ULL, 0xb89ec7f872418495ULL, + 0xa9847693b73254dcULL, 0x58cf90243ac13694ULL, + 0x59efc832f3132b80ULL, 0x5c4fed7c39ae42c4ULL, + 0x828dabe3efd81cfaULL, 0xd13f294d95ace5f2ULL, + 0x7d1b7a90e823d86aULL, 0xb643f03cf849224dULL, + 0x3df3f979d89dcb03ULL, 0x7426d836272f2ddeULL, + 0xdfe21e891fa4432aULL, 0x3a136c1b9d99986fULL, + 0xfa36f43dcd46add4ULL, 0xc025982650df35bbULL, + 0x856d3e81aadc4f96ULL, 0xc4a5e57e53b041ebULL, + 0x4708168b75ba4005ULL, 0xaf44bbe73be41aa4ULL, + 0x971767d029c4b8e3ULL, 0xb9be9feebb939981ULL, + 0x215497ecd18d9aaeULL, 0x316e7e91dd2c57f3ULL, + 0xcef8afe2dad79363ULL, 0x3853dc371220a247ULL, + 0x35ee03c9de4323a3ULL, 0xe6919aa8c456fc79ULL, + 0xe05157dc4880b201ULL, 0x7bdbb7e464f59612ULL, + 0x127a59518318f775ULL, 0x332ecebd52956ddbULL, + 0x8f30741d23bb9d1eULL, 0xd922d3fd93720d52ULL, + 0x7746300c61440ae2ULL, 0x25d4eab4d2e2eefeULL, + 0x75068020eefd30caULL, 0x135a01474acaea61ULL, + 0x304e268714fe4ae7ULL, 0xa519f17bb283c82cULL, + 0xdc82f6b359cf6416ULL, 0x5baf781e7caa11a8ULL, + 0xb2c38d64fb26561dULL, 0x34ce5bdf17913eb7ULL, + 0x5d6fb56af07c5fd0ULL, 0x182713cd0a7f25fdULL, + 0x9e2ac576e6c84d57ULL, 0x9aaab82ee5a73907ULL, + 0xa3d93c0f3e558654ULL, 0x7e7b92aaae48ff56ULL, + 0x872d8ead256575beULL, 0x41c8dbfff96c0e7dULL, + 0x99ca5014a3cc1e3bULL, 0x40e883e930be1369ULL, + 0x1ca76e95091051adULL, 0x4e35b42dbab6b5b1ULL, + 0x05a0254ecabd6944ULL, 0xe1710fca8152af15ULL, + 0xf22b0e8dcb984574ULL, 0xb763a82a319b3f59ULL, + 0x63fca4296e8ab3efULL, 0x9d4a2d4ca0a36a6bULL, + 0xe331bfe60eeb953dULL, 0xd5bf541596c391a2ULL, + 0xf5cb9bef8e9c1618ULL, 0x46284e9dbc685d11ULL, + 0x2074cffa185f87baULL, 0xbd3ee2b6b8fcedd1ULL, + 0xae64e3f1f23607b0ULL, 0xfeb68965ce29d984ULL, + 0x55724fdaf6a2b770ULL, 0x29496d5cd753720eULL, + 0xa75941573d3af204ULL, 0x8e102c0bea69800aULL, + 0x111ab16bc573d049ULL, 0xd7ffe439197aab8aULL, + 0xefac380e0b5a09cdULL, 0x48f579593660fbc9ULL, + 0x22347fd697e6bd92ULL, 0x61bc1405e13389c7ULL, + 0x4ab5c975b9d9c1e1ULL, 0x80cd1bcf606126d2ULL, + 0x7186fd78ed92449aULL, 0x93971a882aabccb3ULL, + 0x88d0e17f66bfce72ULL, 0x27945a985d5bd4d6ULL }, + /* 1 */ + { 0xde553f8c05a811c8ULL, 0x1906b59631b4f565ULL, + 0x436e70d6b1964ff7ULL, 0x36d343cb8b1e9d85ULL, + 0x843dfacc858aab5aULL, 0xfdfc95c299bfc7f9ULL, + 0x0f634bdea1d51fa2ULL, 0x6d458b3b76efb3cdULL, + 0x85c3f77cf8593f80ULL, 0x3c91315fbe737cb2ULL, + 0x2148b03366ace398ULL, 0x18f8b8264c6761bfULL, + 0xc830c1c495c9fb0fULL, 0x981a76102086a0aaULL, + 0xaa16012142f35760ULL, 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0xff1d8fbf6304f250ULL, 0xb8accb933bf9d7e8ULL, + 0xe8867c478eb68c4dULL, 0x3f8e2692391bddc1ULL, + 0xcb2fd60912a15a7cULL, 0xaec935dbab983d2fULL, + 0xf55ffd2b56691367ULL, 0x80e2ce366ce1c115ULL, + 0x179bf3f8edb27e1dULL, 0x01fe0db07dd394daULL, + 0xda8a0b76ecc37b87ULL, 0x44ae53e1df9584cbULL, + 0xb310b4b77347a205ULL, 0xdfab323c787b8512ULL, + 0x3b511268d070b78eULL, 0x65e6e3d2b9396753ULL, + 0x6864b271e2574d58ULL, 0x259784c98fc789d7ULL, + 0x02e11a7dfabb35a9ULL, 0x8841a6dfa337158bULL, + 0x7ade78c39b5dcdd0ULL, 0xb7cf804d9a2cc84aULL, + 0x20b6bd831b7f7742ULL, 0x75bd331d3a88d272ULL, + 0x418f6aab4b2d7a5eULL, 0xd9951cbb6babdaf4ULL, + 0xb6318dfde7ff5c90ULL, 0x1f389b112264aa83ULL, + 0x492c024284fbaec0ULL, 0xe33a0363c608f9a0ULL, + 0x2688930408af28a4ULL, 0xc7538a1a341ce4adULL, + 0x5da8e677ee2171aeULL, 0x8c9e92254a5c7fc4ULL, + 0x63d8cd55aae938b5ULL, 0x29ebd8daa97a3706ULL, + 0x959827b37be88aa1ULL, 0x1484e4356adadf6eULL, + 0xa7945082199d7d6bULL, 0xbf6ce8a455fa1cd4ULL, + 0x9cc542eac9edcae5ULL, 0x79c16f0e1c356ca3ULL, + 0x89bfab6fdee48151ULL, 0xd4174d1830c5f0ffULL, + 0x9258048415eb419dULL, 0x6139d72850520d1cULL, + 0x6a85a80c18ec78f1ULL, 0xcd11f88e0171059aULL, + 0xcceff53e7ca29140ULL, 0xd229639f2315af19ULL, + 0x90b91ef9ef507434ULL, 0x5977d28d074a1be1ULL, + 0x311360fce51d56b9ULL, 0xc093a92d5a1f2f91ULL, + 0x1a19a25bb6dc5416ULL, 0xeb996b8a09de2d3eULL, + 0xfee3820f1ed7668aULL, 0xd7085ad5b7ad518cULL, + 0x7fff41890fe53345ULL, 0xec5948bd67dde602ULL, + 0x2fd5f65dbaaa68e0ULL, 0xa5754affe32648c2ULL, + 0xf8ddac880d07396cULL, 0x6fa491468c548664ULL, + 0x0c7c5c1326bdbed1ULL, 0x4a33158f03930fb3ULL, + 0x699abfc19f84d982ULL, 0xe4fa2054a80b329cULL, + 0x6707f9af438252faULL, 0x08a368e9cfd6d49eULL, + 0x47b1442c58fd25b8ULL, 0xbbb3dc5ebc91769bULL, + 0x1665fe489061eac7ULL, 0x33f27a811fa66310ULL, + 0x93a609346838d547ULL, 0x30ed6d4c98cec263ULL, + 0x1dd9816cd8df9f2aULL, 0x94662a03063b1e7bULL, + 0x83fdd9fbeb896066ULL, 0x7b207573e68e590aULL, + 0x5f49fc0a149a4407ULL, 0x343259b671a5a82cULL, + 0xfbc2bb458a6f981fULL, 0xc272b350a0a41a38ULL, + 0x3aaf1fd8ada32354ULL, 0x6cbb868b0b3c2717ULL, + 0xa2b569c88d2583feULL, 0xf180c9d1bf027928ULL, + 0xaf37386bd64ba9f5ULL, 0x12bacab2790a8088ULL, + 0x4c0d3b0810435055ULL, 0xb2eeb9070e9436dfULL, + 0xc5b29067cea7d104ULL, 0xdcb425f1ff132461ULL, + 0x4f122cc5972bf126ULL, 0xac282fa651230886ULL, + 0xe7e537992f6393efULL, 0xe61b3a2952b00735ULL, + 0x709c0a57ae302ce7ULL, 0xe02514ae416058d3ULL, + 0xc44c9dd7b37445deULL, 0x5a68c5408022ba92ULL, + 0x1c278cdca50c0bf0ULL, 0x6e5a9cf6f18712beULL, + 0x86dce0b17f319ef3ULL, 0x2d34ec2040115d49ULL, + 0x4bcd183f7e409b69ULL, 0x2815d56ad4a9a3dcULL, + 0x24698979f2141d0dULL, 0x0000000000000000ULL, + 0x1ec696a15fb73e59ULL, 0xd86b110b16784e2eULL, + 0x8e7f8858b0e74a6dULL, 0x063e2e8713d05fe6ULL, + 0xe2c40ed3bbdb6d7aULL, 0xb1f1aeca89fc97acULL, + 0xe1db191e3cb3cc09ULL, 0x6418ee62c4eaf389ULL, + 0xc6ad87aa49cf7077ULL, 0xd6f65765ca7ec556ULL, + 0x9afb6c6dda3d9503ULL, 0x7ce05644888d9236ULL, + 0x8d609f95378feb1eULL, 0x23a9aa4e9c17d631ULL, + 0x6226c0e5d73aac6fULL, 0x56149953a69f0443ULL, + 0xeeb852c09d66d3abULL, 0x2b0ac2a753c102afULL, + 0x07c023376e03cb3cULL, 0x2ccae1903dc2c993ULL, + 0xd3d76e2f5ec63bc3ULL, 0x9e2458973356ff4cULL, + 0xa66a5d32644ee9b1ULL, 0x0a427294356de137ULL, + 0x783f62be61e6f879ULL, 0x1344c70204d91452ULL, + 0x5b96c8f0fdf12e48ULL, 0xa90916ecc59bf613ULL, + 0xbe92e5142829880eULL, 0x727d102a548b194eULL, + 0x1be7afebcb0fc0ccULL, 0x3e702b2244c8491bULL, + 0xd5e940a84d166425ULL, 0x66f9f41f3e51c620ULL, + 0xabe80c913f20c3baULL, 0xf07ec461c2d1edf2ULL, + 0xf361d3ac45b94c81ULL, 0x0521394a94b8fe95ULL, + 0xadd622162cf09c5cULL, 0xe97871f7f3651897ULL, + 0xf4a1f09b2bba87bdULL, 0x095d6559b2054044ULL, + 0x0bbc7f2448be75edULL, 0x2af4cf172e129675ULL, + 0x157ae98517094bb4ULL, 0x9fda55274e856b96ULL, + 0x914713499283e0eeULL, 0xb952c623462a4332ULL, + 0x74433ead475b46a8ULL, 0x8b5eb112245fb4f8ULL, + 0xa34b6478f0f61724ULL, 0x11a5dd7ffe6221fbULL, + 0xc16da49d27ccbb4bULL, 0x76a224d0bde07301ULL, + 0x8aa0bca2598c2022ULL, 0x4df336b86d90c48fULL, + 0xea67663a740db9e4ULL, 0xef465f70e0b54771ULL, + 0x39b008152acb8227ULL, 0x7d1e5bf4f55e06ecULL, + 0x105bd0cf83b1b521ULL, 0x775c2960c033e7dbULL, + 0x7e014c397236a79fULL, 0x811cc386113255cfULL, + 0xeda7450d1a0e72d8ULL, 0x5889df3d7a998f3bULL, + 0x2e2bfbedc779fc3aULL, 0xce0eef438619a4e9ULL, + 0x372d4e7bf6cd095fULL, 0x04df34fae96b6a4fULL, + 0xf923a13870d4adb6ULL, 0xa1aa7e050a4d228dULL, + 0xa8f71b5cb84862c9ULL, 0xb52e9a306097fde3ULL, + 0x0d8251a35b6e2a0bULL, 0x2257a7fee1c442ebULL, + 0x73831d9a29588d94ULL, 0x51d4ba64c89ccf7fULL, + 0x502ab7d4b54f5ba5ULL, 0x97793dce8153bf08ULL, + 0xe5042de4d5d8a646ULL, 0x9687307efc802bd2ULL, + 0xa05473b5779eb657ULL, 0xb4d097801d446939ULL, + 0xcff0e2f3fbca3033ULL, 0xc38cbee0dd778ee2ULL, + 0x464f499c252eb162ULL, 0xcad1dbb96f72cea6ULL, + 0xba4dd1eec142e241ULL, 0xb00fa37af42f0376ULL }, + /* 2 */ + { 0xcce4cd3aa968b245ULL, 0x089d5484e80b7fafULL, + 0x638246c1b3548304ULL, 0xd2fe0ec8c2355492ULL, + 0xa7fbdf7ff2374eeeULL, 0x4df1600c92337a16ULL, + 0x84e503ea523b12fbULL, 0x0790bbfd53ab0c4aULL, + 0x198a780f38f6ea9dULL, 0x2ab30c8f55ec48cbULL, + 0xe0f7fed6b2c49db5ULL, 0xb6ecf3f422cadbdcULL, + 0x409c9a541358df11ULL, 0xd3ce8a56dfde3fe3ULL, + 0xc3e9224312c8c1a0ULL, 0x0d6dfa58816ba507ULL, + 0xddf3e1b179952777ULL, 0x04c02a42748bb1d9ULL, + 0x94c2abff9f2decb8ULL, 0x4f91752da8f8acf4ULL, + 0x78682befb169bf7bULL, 0xe1c77a48af2ff6c4ULL, + 0x0c5d7ec69c80ce76ULL, 0x4cc1e4928fd81167ULL, + 0xfeed3d24d9997b62ULL, 0x518bb6dfc3a54a23ULL, + 0x6dbf2d26151f9b90ULL, 0xb5bc624b05ea664fULL, + 0xe86aaa525acfe21aULL, 0x4801ced0fb53a0beULL, + 0xc91463e6c00868edULL, 0x1027a815cd16fe43ULL, + 0xf67069a0319204cdULL, 0xb04ccc976c8abce7ULL, + 0xc0b9b3fc35e87c33ULL, 0xf380c77c58f2de65ULL, + 0x50bb3241de4e2152ULL, 0xdf93f490435ef195ULL, + 0xf1e0d25d62390887ULL, 0xaf668bfb1a3c3141ULL, + 0xbc11b251f00a7291ULL, 0x73a5eed47e427d47ULL, + 0x25bee3f6ee4c3b2eULL, 0x43cc0beb34786282ULL, + 0xc824e778dde3039cULL, 0xf97d86d98a327728ULL, + 0xf2b043e24519b514ULL, 0xe297ebf7880f4b57ULL, + 0x3a94a49a98fab688ULL, 0x868516cb68f0c419ULL, + 0xeffa11af0964ee50ULL, 0xa4ab4ec0d517f37dULL, + 0xa9c6b498547c567aULL, 0x8e18424f80fbbbb6ULL, + 0x0bcdc53bcf2bc23cULL, 0x137739aaea3643d0ULL, + 0x2c1333ec1bac2ff0ULL, 0x8d48d3f0a7db0625ULL, + 0x1e1ac3f26b5de6d7ULL, 0xf520f81f16b2b95eULL, + 0x9f0f6ec450062e84ULL, 0x0130849e1deb6b71ULL, + 0xd45e31ab8c7533a9ULL, 0x652279a2fd14e43fULL, + 0x3209f01e70f1c927ULL, 0xbe71a770cac1a473ULL, + 0x0e3d6be7a64b1894ULL, 0x7ec8148cff29d840ULL, + 0xcb7476c7fac3be0fULL, 0x72956a4a63a91636ULL, + 0x37f95ec21991138fULL, 0x9e3fea5a4ded45f5ULL, + 0x7b38ba50964902e8ULL, 0x222e580bbde73764ULL, + 0x61e253e0899f55e6ULL, 0xfc8d2805e352ad80ULL, + 0x35994be3235ac56dULL, 0x09add01af5e014deULL, + 0x5e8659a6780539c6ULL, 0xb17c48097161d796ULL, + 0x026015213acbd6e2ULL, 0xd1ae9f77e515e901ULL, + 0xb7dc776a3f21b0adULL, 0xaba6a1b96eb78098ULL, + 0x9bcf4486248d9f5dULL, 0x582666c536455efdULL, + 0xfdbdac9bfeb9c6f1ULL, 0xc47999be4163cdeaULL, + 0x765540081722a7efULL, 0x3e548ed8ec710751ULL, + 0x3d041f67cb51bac2ULL, 0x7958af71ac82d40aULL, + 0x36c9da5c047a78feULL, 0xed9a048e33af38b2ULL, + 0x26ee7249c96c86bdULL, 0x900281bdeba65d61ULL, + 0x11172c8bd0fd9532ULL, 0xea0abf73600434f8ULL, + 0x42fc8f75299309f3ULL, 0x34a9cf7d3eb1ae1cULL, + 0x2b838811480723baULL, 0x5ce64c8742ceef24ULL, + 0x1adae9b01fd6570eULL, 0x3c349bf9d6bad1b3ULL, + 0x82453c891c7b75c0ULL, 0x97923a40b80d512bULL, + 0x4a61dbf1c198765cULL, 0xb48ce6d518010d3eULL, + 0xcfb45c858e480fd6ULL, 0xd933cbf30d1e96aeULL, + 0xd70ea014ab558e3aULL, 0xc189376228031742ULL, + 0x9262949cd16d8b83ULL, 0xeb3a3bed7def5f89ULL, + 0x49314a4ee6b8cbcfULL, 0xdcc3652f647e4c06ULL, + 0xda635a4c2a3e2b3dULL, 0x470c21a940f3d35bULL, + 0x315961a157d174b4ULL, 0x6672e81dda3459acULL, + 0x5b76f77a1165e36eULL, 0x445cb01667d36ec8ULL, + 0xc5491d205c88a69bULL, 0x456c34887a3805b9ULL, + 0xffddb9bac4721013ULL, 0x99af51a71e4649bfULL, + 0xa15be01cbc7729d5ULL, 0x52db2760e485f7b0ULL, + 0x8c78576eba306d54ULL, 0xae560f6507d75a30ULL, + 0x95f22f6182c687c9ULL, 0x71c5fbf54489aba5ULL, + 0xca44f259e728d57eULL, 0x88b87d2ccebbdc8dULL, + 0xbab18d32be4a15aaULL, 0x8be8ec93e99b611eULL, + 0x17b713e89ebdf209ULL, 0xb31c5d284baa0174ULL, + 0xeeca9531148f8521ULL, 0xb8d198138481c348ULL, + 0x8988f9b2d350b7fcULL, 0xb9e11c8d996aa839ULL, + 0x5a4673e40c8e881fULL, 0x1687977683569978ULL, + 0xbf4123eed72acf02ULL, 0x4ea1f1b3b513c785ULL, + 0xe767452be16f91ffULL, 0x7505d1b730021a7cULL, + 0xa59bca5ec8fc980cULL, 0xad069eda20f7e7a3ULL, + 0x38f4b1bba231606aULL, 0x60d2d77e94743e97ULL, + 0x9affc0183966f42cULL, 0x248e6768f3a7505fULL, + 0xcdd449a4b483d934ULL, 0x87b59255751baf68ULL, + 0x1bea6d2e023d3c7fULL, 0x6b1f12455b5ffcabULL, + 0x743555292de9710dULL, 0xd8034f6d10f5fddfULL, + 0xc6198c9f7ba81b08ULL, 0xbb8109aca3a17edbULL, + 0xfa2d1766ad12cabbULL, 0xc729080166437079ULL, + 0x9c5fff7b77269317ULL, 0x0000000000000000ULL, + 0x15d706c9a47624ebULL, 0x6fdf38072fd44d72ULL, + 0x5fb6dd3865ee52b7ULL, 0xa33bf53d86bcff37ULL, + 0xe657c1b5fc84fa8eULL, 0xaa962527735cebe9ULL, + 0x39c43525bfda0b1bULL, 0x204e4d2a872ce186ULL, + 0x7a083ece8ba26999ULL, 0x554b9c9db72efbfaULL, + 0xb22cd9b656416a05ULL, 0x96a2bedea5e63a5aULL, + 0x802529a826b0a322ULL, 0x8115ad363b5bc853ULL, + 0x8375b81701901eb1ULL, 0x3069e53f4a3a1fc5ULL, + 0xbd2136cfede119e0ULL, 0x18bafc91251d81ecULL, + 0x1d4a524d4c7d5b44ULL, 0x05f0aedc6960daa8ULL, + 0x29e39d3072ccf558ULL, 0x70f57f6b5962c0d4ULL, + 0x989fd53903ad22ceULL, 0xf84d024797d91c59ULL, + 0x547b1803aac5908bULL, 0xf0d056c37fd263f6ULL, + 0xd56eb535919e58d8ULL, 0x1c7ad6d351963035ULL, + 0x2e7326cd2167f912ULL, 0xac361a443d1c8cd2ULL, + 0x697f076461942a49ULL, 0x4b515f6fdc731d2dULL, + 0x8ad8680df4700a6fULL, 0x41ac1eca0eb3b460ULL, + 0x7d988533d80965d3ULL, 0xa8f6300649973d0bULL, + 0x7765c4960ac9cc9eULL, 0x7ca801adc5e20ea2ULL, + 0xdea3700e5eb59ae4ULL, 0xa06b6482a19c42a4ULL, + 0x6a2f96db46b497daULL, 0x27def6d7d487edccULL, + 0x463ca5375d18b82aULL, 0xa6cb5be1efdc259fULL, + 0x53eba3fef96e9cc1ULL, 0xce84d81b93a364a7ULL, + 0xf4107c810b59d22fULL, 0x333974806d1aa256ULL, + 0x0f0def79bba073e5ULL, 0x231edc95a00c5c15ULL, + 0xe437d494c64f2c6cULL, 0x91320523f64d3610ULL, + 0x67426c83c7df32ddULL, 0x6eefbc99323f2603ULL, + 0x9d6f7be56acdf866ULL, 0x5916e25b2bae358cULL, + 0x7ff89012e2c2b331ULL, 0x035091bf2720bd93ULL, + 0x561b0d22900e4669ULL, 0x28d319ae6f279e29ULL, + 0x2f43a2533c8c9263ULL, 0xd09e1be9f8fe8270ULL, + 0xf740ed3e2c796fbcULL, 0xdb53ded237d5404cULL, + 0x62b2c25faebfe875ULL, 0x0afd41a5d2c0a94dULL, + 0x6412fd3ce0ff8f4eULL, 0xe3a76f6995e42026ULL, + 0x6c8fa9b808f4f0e1ULL, 0xc2d9a6dd0f23aad1ULL, + 0x8f28c6d19d10d0c7ULL, 0x85d587744fd0798aULL, + 0xa20b71a39b579446ULL, 0x684f83fa7c7f4138ULL, + 0xe507500adba4471dULL, 0x3f640a46f19a6c20ULL, + 0x1247bd34f7dd28a1ULL, 0x2d23b77206474481ULL, + 0x93521002cc86e0f2ULL, 0x572b89bc8de52d18ULL, + 0xfb1d93f8b0f9a1caULL, 0xe95a2ecc4724896bULL, + 0x3ba420048511ddf9ULL, 0xd63e248ab6bee54bULL, + 0x5dd6c8195f258455ULL, 0x06a03f634e40673bULL, + 0x1f2a476c76b68da6ULL, 0x217ec9b49ac78af7ULL, + 0xecaa80102e4453c3ULL, 0x14e78257b99d4f9aULL }, + /* 3 */ + { 0x20329b2cc87bba05ULL, 0x4f5eb6f86546a531ULL, + 0xd4f44775f751b6b1ULL, 0x8266a47b850dfa8bULL, + 0xbb986aa15a6ca985ULL, 0xc979eb08f9ae0f99ULL, + 0x2da6f447a2375ea1ULL, 0x1e74275dcd7d8576ULL, + 0xbc20180a800bc5f8ULL, 0xb4a2f701b2dc65beULL, + 0xe726946f981b6d66ULL, 0x48e6c453bf21c94cULL, + 0x42cad9930f0a4195ULL, 0xefa47b64aacccd20ULL, + 0x71180a8960409a42ULL, 0x8bb3329bf6a44e0cULL, + 0xd34c35de2d36daccULL, 0xa92f5b7cbc23dc96ULL, + 0xb31a85aa68bb09c3ULL, 0x13e04836a73161d2ULL, + 0xb24dfc4129c51d02ULL, 0x8ae44b70b7da5acdULL, + 0xe671ed84d96579a7ULL, 0xa4bb3417d66f3832ULL, + 0x4572ab38d56d2de8ULL, 0xb1b47761ea47215cULL, + 0xe81c09cf70aba15dULL, 0xffbdb872ce7f90acULL, + 0xa8782297fd5dc857ULL, 0x0d946f6b6a4ce4a4ULL, + 0xe4df1f4f5b995138ULL, 0x9ebc71edca8c5762ULL, + 0x0a2c1dc0b02b88d9ULL, 0x3b503c115d9d7b91ULL, + 0xc64376a8111ec3a2ULL, 0xcec199a323c963e4ULL, + 0xdc76a87ec58616f7ULL, 0x09d596e073a9b487ULL, + 0x14583a9d7d560dafULL, 0xf4c6dc593f2a0cb4ULL, + 0xdd21d19584f80236ULL, 0x4a4836983ddde1d3ULL, + 0xe58866a41ae745f9ULL, 0xf591a5b27e541875ULL, + 0x891dc05074586693ULL, 0x5b068c651810a89eULL, + 0xa30346bc0c08544fULL, 0x3dbf3751c684032dULL, + 0x2a1e86ec785032dcULL, 0xf73f5779fca830eaULL, + 0xb60c05ca30204d21ULL, 0x0cc316802b32f065ULL, + 0x8770241bdd96be69ULL, 0xb861e18199ee95dbULL, + 0xf805cad91418fcd1ULL, 0x29e70dccbbd20e82ULL, + 0xc7140f435060d763ULL, 0x0f3a9da0e8b0cc3bULL, + 0xa2543f574d76408eULL, 0xbd7761e1c175d139ULL, + 0x4b1f4f737ca3f512ULL, 0x6dc2df1f2fc137abULL, + 0xf1d05c3967b14856ULL, 0xa742bf3715ed046cULL, + 0x654030141d1697edULL, 0x07b872abda676c7dULL, + 0x3ce84eba87fa17ecULL, 0xc1fb0403cb79afdfULL, + 0x3e46bc7105063f73ULL, 0x278ae987121cd678ULL, + 0xa1adb4778ef47cd0ULL, 0x26dd906c5362c2b9ULL, + 0x05168060589b44e2ULL, 0xfbfc41f9d79ac08fULL, + 0x0e6de44ba9ced8faULL, 0x9feb08068bf243a3ULL, + 0x7b341749d06b129bULL, 0x229c69e74a87929aULL, + 0xe09ee6c4427c011bULL, 0x5692e30e725c4c3aULL, + 0xda99a33e5e9f6e4bULL, 0x353dd85af453a36bULL, + 0x25241b4c90e0fee7ULL, 0x5de987258309d022ULL, + 0xe230140fc0802984ULL, 0x93281e86a0c0b3c6ULL, + 0xf229d719a4337408ULL, 0x6f6c2dd4ad3d1f34ULL, + 0x8ea5b2fbae3f0aeeULL, 0x8331dd90c473ee4aULL, + 0x346aa1b1b52db7aaULL, 0xdf8f235e06042aa9ULL, + 0xcc6f6b68a1354b7bULL, 0x6c95a6f46ebf236aULL, + 0x52d31a856bb91c19ULL, 0x1a35ded6d498d555ULL, + 0xf37eaef2e54d60c9ULL, 0x72e181a9a3c2a61cULL, + 0x98537aad51952fdeULL, 0x16f6c856ffaa2530ULL, + 0xd960281e9d1d5215ULL, 0x3a0745fa1ce36f50ULL, + 0x0b7b642bf1559c18ULL, 0x59a87eae9aec8001ULL, + 0x5e100c05408bec7cULL, 0x0441f98b19e55023ULL, + 0xd70dcc5534d38aefULL, 0x927f676de1bea707ULL, + 0x9769e70db925e3e5ULL, 0x7a636ea29115065aULL, + 0x468b201816ef11b6ULL, 0xab81a9b73edff409ULL, + 0xc0ac7de88a07bb1eULL, 0x1f235eb68c0391b7ULL, + 0x6056b074458dd30fULL, 0xbe8eeac102f7ed67ULL, + 0xcd381283e04b5fbaULL, 0x5cbefecec277c4e3ULL, + 0xd21b4c356c48ce0dULL, 0x1019c31664b35d8cULL, + 0x247362a7d19eea26ULL, 0xebe582efb3299d03ULL, + 0x02aef2cb82fc289fULL, 0x86275df09ce8aaa8ULL, + 0x28b07427faac1a43ULL, 0x38a9b7319e1f47cfULL, + 0xc82e92e3b8d01b58ULL, 0x06ef0b409b1978bcULL, + 0x62f842bfc771fb90ULL, 0x9904034610eb3b1fULL, + 0xded85ab5477a3e68ULL, 0x90d195a663428f98ULL, + 0x5384636e2ac708d8ULL, 0xcbd719c37b522706ULL, + 0xae9729d76644b0ebULL, 0x7c8c65e20a0c7ee6ULL, + 0x80c856b007f1d214ULL, 0x8c0b40302cc32271ULL, + 0xdbcedad51fe17a8aULL, 0x740e8ae938dbdea0ULL, + 0xa615c6dc549310adULL, 0x19cc55f6171ae90bULL, + 0x49b1bdb8fe5fdd8dULL, 0xed0a89af2830e5bfULL, + 0x6a7aadb4f5a65bd6ULL, 0x7e22972988f05679ULL, + 0xf952b3325566e810ULL, 0x39fecedadf61530eULL, + 0x6101c99f04f3c7ceULL, 0x2e5f7f6761b562ffULL, + 0xf08725d226cf5c97ULL, 0x63af3b54860fef51ULL, + 0x8ff2cb10ef411e2fULL, 0x884ab9bb35267252ULL, + 0x4df04433e7ba8daeULL, 0x9afd8866d3690741ULL, + 0x66b9bb34de94abb3ULL, 0x9baaf18d92171380ULL, + 0x543c11c5f0a064a5ULL, 0x17a1b1bdbed431f1ULL, + 0xb5f58eeaf3a2717fULL, 0xc355f6c849858740ULL, + 0xec5df044694ef17eULL, 0xd83751f5dc6346d4ULL, + 0xfc4433520dfdacf2ULL, 0x0000000000000000ULL, + 0x5a51f58e596ebc5fULL, 0x3285aaf12e34cf16ULL, + 0x8d5c39db6dbd36b0ULL, 0x12b731dde64f7513ULL, + 0x94906c2d7aa7dfbbULL, 0x302b583aacc8e789ULL, + 0x9d45facd090e6b3cULL, 0x2165e2c78905aec4ULL, + 0x68d45f7f775a7349ULL, 0x189b2c1d5664fdcaULL, + 0xe1c99f2f030215daULL, 0x6983269436246788ULL, + 0x8489af3b1e148237ULL, 0xe94b702431d5b59cULL, + 0x33d2d31a6f4adbd7ULL, 0xbfd9932a4389f9a6ULL, + 0xb0e30e8aab39359dULL, 0xd1e2c715afcaf253ULL, + 0x150f43763c28196eULL, 0xc4ed846393e2eb3dULL, + 0x03f98b20c3823c5eULL, 0xfd134ab94c83b833ULL, + 0x556b682eb1de7064ULL, 0x36c4537a37d19f35ULL, + 0x7559f30279a5ca61ULL, 0x799ae58252973a04ULL, + 0x9c12832648707ffdULL, 0x78cd9c6913e92ec5ULL, + 0x1d8dac7d0effb928ULL, 0x439da0784e745554ULL, + 0x413352b3cc887dcbULL, 0xbacf134a1b12bd44ULL, + 0x114ebafd25cd494dULL, 0x2f08068c20cb763eULL, + 0x76a07822ba27f63fULL, 0xeab2fb04f25789c2ULL, + 0xe3676de481fe3d45ULL, 0x1b62a73d95e6c194ULL, + 0x641749ff5c68832cULL, 0xa5ec4dfc97112cf3ULL, + 0xf6682e92bdd6242bULL, 0x3f11c59a44782bb2ULL, + 0x317c21d1edb6f348ULL, 0xd65ab5be75ad9e2eULL, + 0x6b2dd45fb4d84f17ULL, 0xfaab381296e4d44eULL, + 0xd0b5befeeeb4e692ULL, 0x0882ef0b32d7a046ULL, + 0x512a91a5a83b2047ULL, 0x963e9ee6f85bf724ULL, + 0x4e09cf132438b1f0ULL, 0x77f701c9fb59e2feULL, + 0x7ddb1c094b726a27ULL, 0x5f4775ee01f5f8bdULL, + 0x9186ec4d223c9b59ULL, 0xfeeac1998f01846dULL, + 0xac39db1ce4b89874ULL, 0xb75b7c21715e59e0ULL, + 0xafc0503c273aa42aULL, 0x6e3b543fec430bf5ULL, + 0x704f7362213e8e83ULL, 0x58ff0745db9294c0ULL, + 0x67eec2df9feabf72ULL, 0xa0facd9ccf8a6811ULL, + 0xb936986ad890811aULL, 0x95c715c63bd9cb7aULL, + 0xca8060283a2c33c7ULL, 0x507de84ee9453486ULL, + 0x85ded6d05f6a96f6ULL, 0x1cdad5964f81ade9ULL, + 0xd5a33e9eb62fa270ULL, 0x40642b588df6690aULL, + 0x7f75eec2c98e42b8ULL, 0x2cf18dace3494a60ULL, + 0x23cb100c0bf9865bULL, 0xeef3028febb2d9e1ULL, + 0x4425d2d394133929ULL, 0xaad6d05c7fa1e0c8ULL, + 0xad6ea2f7a5c68cb5ULL, 0xc2028f2308fb9381ULL, + 0x819f2f5b468fc6d5ULL, 0xc5bafd88d29cfffcULL, + 0x47dc59f357910577ULL, 0x2b49ff07392e261dULL, + 0x57c59ae5332258fbULL, 0x73b6f842e2bcb2ddULL, + 0xcf96e04862b77725ULL, 0x4ca73dd8a6c4996fULL, + 0x015779eb417e14c1ULL, 0x37932a9176af8bf4ULL }, + /* 4 */ + { 0x190a2c9b249df23eULL, 0x2f62f8b62263e1e9ULL, + 0x7a7f754740993655ULL, 0x330b7ba4d5564d9fULL, + 0x4c17a16a46672582ULL, 0xb22f08eb7d05f5b8ULL, + 0x535f47f40bc148ccULL, 0x3aec5d27d4883037ULL, + 0x10ed0a1825438f96ULL, 0x516101f72c233d17ULL, + 0x13cc6f949fd04eaeULL, 0x739853c441474bfdULL, + 0x653793d90d3f5b1bULL, 0x5240647b96b0fc2fULL, + 0x0c84890ad27623e0ULL, 0xd7189b32703aaea3ULL, + 0x2685de3523bd9c41ULL, 0x99317c5b11bffefaULL, + 0x0d9baa854f079703ULL, 0x70b93648fbd48ac5ULL, + 0xa80441fce30bc6beULL, 0x7287704bdc36ff1eULL, + 0xb65384ed33dc1f13ULL, 0xd36417343ee34408ULL, + 0x39cd38ab6e1bf10fULL, 0x5ab861770a1f3564ULL, + 0x0ebacf09f594563bULL, 0xd04572b884708530ULL, + 0x3cae9722bdb3af47ULL, 0x4a556b6f2f5cbaf2ULL, + 0xe1704f1f76c4bd74ULL, 0x5ec4ed7144c6dfcfULL, + 0x16afc01d4c7810e6ULL, 0x283f113cd629ca7aULL, + 0xaf59a8761741ed2dULL, 0xeed5a3991e215facULL, + 0x3bf37ea849f984d4ULL, 0xe413e096a56ce33cULL, + 0x2c439d3a98f020d1ULL, 0x637559dc6404c46bULL, + 0x9e6c95d1e5f5d569ULL, 0x24bb9836045fe99aULL, + 0x44efa466dac8ecc9ULL, 0xc6eab2a5c80895d6ULL, + 0x803b50c035220cc4ULL, 0x0321658cba93c138ULL, + 0x8f9ebc465dc7ee1cULL, 0xd15a5137190131d3ULL, + 0x0fa5ec8668e5e2d8ULL, 0x91c979578d1037b1ULL, + 0x0642ca05693b9f70ULL, 0xefca80168350eb4fULL, + 0x38d21b24f36a45ecULL, 0xbeab81e1af73d658ULL, + 0x8cbfd9cae7542f24ULL, 0xfd19cc0d81f11102ULL, + 0x0ac6430fbb4dbc90ULL, 0x1d76a09d6a441895ULL, + 0x2a01573ff1cbbfa1ULL, 0xb572e161894fde2bULL, + 0x8124734fa853b827ULL, 0x614b1fdf43e6b1b0ULL, + 0x68ac395c4238cc18ULL, 0x21d837bfd7f7b7d2ULL, + 0x20c714304a860331ULL, 0x5cfaab726324aa14ULL, + 0x74c5ba4eb50d606eULL, 0xf3a3030474654739ULL, + 0x23e671bcf015c209ULL, 0x45f087e947b9582aULL, + 0xd8bd77b418df4c7bULL, 0xe06f6c90ebb50997ULL, + 0x0bd96080263c0873ULL, 0x7e03f9410e40dcfeULL, + 0xb8e94be4c6484928ULL, 0xfb5b0608e8ca8e72ULL, + 0x1a2b49179e0e3306ULL, 0x4e29e76961855059ULL, + 0x4f36c4e6fcf4e4baULL, 0x49740ee395cf7bcaULL, + 0xc2963ea386d17f7dULL, 0x90d65ad810618352ULL, + 0x12d34c1b02a1fa4dULL, 0xfa44258775bb3a91ULL, + 0x18150f14b9ec46ddULL, 0x1491861e6b9a653dULL, + 0x9a1019d7ab2c3fc2ULL, 0x3668d42d06fe13d7ULL, + 0xdcc1fbb25606a6d0ULL, 0x969490dd795a1c22ULL, + 0x3549b1a1bc6dd2efULL, 0xc94f5e23a0ed770eULL, + 0xb9f6686b5b39fdcbULL, 0xc4d4f4a6efeae00dULL, + 0xe732851a1fff2204ULL, 0x94aad6de5eb869f9ULL, + 0x3f8ff2ae07206e7fULL, 0xfe38a9813b62d03aULL, + 0xa7a1ad7a8bee2466ULL, 0x7b6056c8dde882b6ULL, + 0x302a1e286fc58ca7ULL, 0x8da0fa457a259bc7ULL, + 0xb3302b64e074415bULL, 0x5402ae7eff8b635fULL, + 0x08f8050c9cafc94bULL, 0xae468bf98a3059ceULL, + 0x88c355cca98dc58fULL, 0xb10e6d67c7963480ULL, + 0xbad70de7e1aa3cf3ULL, 0xbfb4a26e320262bbULL, + 0xcb711820870f02d5ULL, 0xce12b7a954a75c9dULL, + 0x563ce87dd8691684ULL, 0x9f73b65e7884618aULL, + 0x2b1e74b06cba0b42ULL, 0x47cec1ea605b2df1ULL, + 0x1c698312f735ac76ULL, 0x5fdbcefed9b76b2cULL, + 0x831a354c8fb1cdfcULL, 0x820516c312c0791fULL, + 0xb74ca762aeadabf0ULL, 0xfc06ef821c80a5e1ULL, + 0x5723cbf24518a267ULL, 0x9d4df05d5f661451ULL, + 0x588627742dfd40bfULL, 0xda8331b73f3d39a0ULL, + 0x17b0e392d109a405ULL, 0xf965400bcf28fba9ULL, + 0x7c3dbf4229a2a925ULL, 0x023e460327e275dbULL, + 0x6cd0b55a0ce126b3ULL, 0xe62da695828e96e7ULL, + 0x42ad6e63b3f373b9ULL, 0xe50cc319381d57dfULL, + 0xc5cbd729729b54eeULL, 0x46d1e265fd2a9912ULL, + 0x6428b056904eeff8ULL, 0x8be23040131e04b7ULL, + 0x6709d5da2add2ec0ULL, 0x075de98af44a2b93ULL, + 0x8447dcc67bfbe66fULL, 0x6616f655b7ac9a23ULL, + 0xd607b8bded4b1a40ULL, 0x0563af89d3a85e48ULL, + 0x3db1b4ad20c21ba4ULL, 0x11f22997b8323b75ULL, + 0x292032b34b587e99ULL, 0x7f1cdace9331681dULL, + 0x8e819fc9c0b65affULL, 0xa1e3677fe2d5bb16ULL, + 0xcd33d225ee349da5ULL, 0xd9a2543b85aef898ULL, + 0x795e10cbfa0af76dULL, 0x25a4bbb9992e5d79ULL, + 0x78413344677b438eULL, 0xf0826688cef68601ULL, + 0xd27b34bba392f0ebULL, 0x551d8df162fad7bcULL, + 0x1e57c511d0d7d9adULL, 0xdeffbdb171e4d30bULL, + 0xf4feea8e802f6caaULL, 0xa480c8f6317de55eULL, + 0xa0fc44f07fa40ff5ULL, 0x95b5f551c3c9dd1aULL, + 0x22f952336d6476eaULL, 0x0000000000000000ULL, + 0xa6be8ef5169f9085ULL, 0xcc2cf1aa73452946ULL, + 0x2e7ddb39bf12550aULL, 0xd526dd3157d8db78ULL, + 0x486b2d6c08becf29ULL, 0x9b0f3a58365d8b21ULL, + 0xac78cdfaadd22c15ULL, 0xbc95c7e28891a383ULL, + 0x6a927f5f65dab9c3ULL, 0xc3891d2c1ba0cb9eULL, + 0xeaa92f9f50f8b507ULL, 0xcf0d9426c9d6e87eULL, + 0xca6e3baf1a7eb636ULL, 0xab25247059980786ULL, + 0x69b31ad3df4978fbULL, 0xe2512a93cc577c4cULL, + 0xff278a0ea61364d9ULL, 0x71a615c766a53e26ULL, + 0x89dc764334fc716cULL, 0xf87a638452594f4aULL, + 0xf2bc208be914f3daULL, 0x8766b94ac1682757ULL, + 0xbbc82e687cdb8810ULL, 0x626a7a53f9757088ULL, + 0xa2c202f358467a2eULL, 0x4d0882e5db169161ULL, + 0x09e7268301de7da8ULL, 0xe897699c771ac0dcULL, + 0xc8507dac3d9cc3edULL, 0xc0a878a0a1330aa6ULL, + 0x978bb352e42ba8c1ULL, 0xe9884a13ea6b743fULL, + 0x279afdbabecc28a2ULL, 0x047c8c064ed9eaabULL, + 0x507e2278b15289f4ULL, 0x599904fbb08cf45cULL, + 0xbd8ae46d15e01760ULL, 0x31353da7f2b43844ULL, + 0x8558ff49e68a528cULL, 0x76fbfc4d92ef15b5ULL, + 0x3456922e211c660cULL, 0x86799ac55c1993b4ULL, + 0x3e90d1219a51da9cULL, 0x2d5cbeb505819432ULL, + 0x982e5fd48cce4a19ULL, 0xdb9c1238a24c8d43ULL, + 0xd439febecaa96f9bULL, 0x418c0bef0960b281ULL, + 0x158ea591f6ebd1deULL, 0x1f48e69e4da66d4eULL, + 0x8afd13cf8e6fb054ULL, 0xf5e1c9011d5ed849ULL, + 0xe34e091c5126c8afULL, 0xad67ee7530a398f6ULL, + 0x43b24dec2e82c75aULL, 0x75da99c1287cd48dULL, + 0x92e81cdb3783f689ULL, 0xa3dd217cc537cecdULL, + 0x60543c50de970553ULL, 0x93f73f54aaf2426aULL, + 0xa91b62737e7a725dULL, 0xf19d4507538732e2ULL, + 0x77e4dfc20f9ea156ULL, 0x7d229ccdb4d31dc6ULL, + 0x1b346a98037f87e5ULL, 0xedf4c615a4b29e94ULL, + 0x4093286094110662ULL, 0xb0114ee85ae78063ULL, + 0x6ff1d0d6b672e78bULL, 0x6dcf96d591909250ULL, + 0xdfe09e3eec9567e8ULL, 0x3214582b4827f97cULL, + 0xb46dc2ee143e6ac8ULL, 0xf6c0ac8da7cd1971ULL, + 0xebb60c10cd8901e4ULL, 0xf7df8f023abcad92ULL, + 0x9c52d3d2c217a0b2ULL, 0x6b8d5cd0f8ab0d20ULL, + 0x3777f7a29b8fa734ULL, 0x011f238f9d71b4e3ULL, + 0xc1b75b2f3c42be45ULL, 0x5de588fdfe551ef7ULL, + 0x6eeef3592b035368ULL, 0xaa3a07ffc4e9b365ULL, + 0xecebe59a39c32a77ULL, 0x5ba742f8976e8187ULL, + 0x4b4a48e0b22d0e11ULL, 0xddded83dcb771233ULL, + 0xa59feb79ac0c51bdULL, 0xc7f5912a55792135ULL }, + /* 5 */ + { 0x6d6ae04668a9b08aULL, 0x3ab3f04b0be8c743ULL, + 0xe51e166b54b3c908ULL, 0xbe90a9eb35c2f139ULL, + 0xb2c7066637f2bec1ULL, 0xaa6945613392202cULL, + 0x9a28c36f3b5201ebULL, 0xddce5a93ab536994ULL, + 0x0e34133ef6382827ULL, 0x52a02ba1ec55048bULL, + 0xa2f88f97c4b2a177ULL, 0x8640e513ca2251a5ULL, + 0xcdf1d36258137622ULL, 0xfe6cb708dedf8ddbULL, + 0x8a174a9ec8121e5dULL, 0x679896036b81560eULL, + 0x59ed033395795feeULL, 0x1dd778ab8b74edafULL, + 0xee533ef92d9f926dULL, 0x2a8c79baf8a8d8f5ULL, + 0x6bcf398e69b119f6ULL, 0xe20491742fafdd95ULL, + 0x276488e0809c2aecULL, 0xea955b82d88f5cceULL, + 0x7102c63a99d9e0c4ULL, 0xf9763017a5c39946ULL, + 0x429fa2501f151b3dULL, 0x4659c72bea05d59eULL, + 0x984b7fdccf5a6634ULL, 0xf742232953fbb161ULL, + 0x3041860e08c021c7ULL, 0x747bfd9616cd9386ULL, + 0x4bb1367192312787ULL, 0x1b72a1638a6c44d3ULL, + 0x4a0e68a6e8359a66ULL, 0x169a5039f258b6caULL, + 0xb98a2ef44edee5a4ULL, 0xd9083fe85e43a737ULL, + 0x967f6ce239624e13ULL, 0x8874f62d3c1a7982ULL, + 0x3c1629830af06e3fULL, 0x9165ebfd427e5a8eULL, + 0xb5dd81794ceeaa5cULL, 0x0de8f15a7834f219ULL, + 0x70bd98ede3dd5d25ULL, 0xaccc9ca9328a8950ULL, + 0x56664eda1945ca28ULL, 0x221db34c0f8859aeULL, + 0x26dbd637fa98970dULL, 0x1acdffb4f068f932ULL, + 0x4585254f64090fa0ULL, 0x72de245e17d53afaULL, + 0x1546b25d7c546cf4ULL, 0x207e0ffffb803e71ULL, + 0xfaaad2732bcf4378ULL, 0xb462dfae36ea17bdULL, + 0xcf926fd1ac1b11fdULL, 0xe0672dc7dba7ba4aULL, + 0xd3fa49ad5d6b41b3ULL, 0x8ba81449b216a3bcULL, + 0x14f9ec8a0650d115ULL, 0x40fc1ee3eb1d7ce2ULL, + 0x23a2ed9b758ce44fULL, 0x782c521b14fddc7eULL, + 0x1c68267cf170504eULL, 0xbcf31558c1ca96e6ULL, + 0xa781b43b4ba6d235ULL, 0xf6fd7dfe29ff0c80ULL, + 0xb0a4bad5c3fad91eULL, 0xd199f51ea963266cULL, + 0x414340349119c103ULL, 0x5405f269ed4dadf7ULL, + 0xabd61bb649969dcdULL, 0x6813dbeae7bdc3c8ULL, + 0x65fb2ab09f8931d1ULL, 0xf1e7fae152e3181dULL, + 0xc1a67cef5a2339daULL, 0x7a4feea8e0f5bba1ULL, + 0x1e0b9acf05783791ULL, 0x5b8ebf8061713831ULL, + 0x80e53cdbcb3af8d9ULL, 0x7e898bd315e57502ULL, + 0xc6bcfbf0213f2d47ULL, 0x95a38e86b76e942dULL, + 0x092e94218d243cbaULL, 0x8339debf453622e7ULL, + 0xb11be402b9fe64ffULL, 0x57d9100d634177c9ULL, + 0xcc4e8db52217cbc3ULL, 0x3b0cae9c71ec7aa2ULL, + 0xfb158ca451cbfe99ULL, 0x2b33276d82ac6514ULL, + 0x01bf5ed77a04bde1ULL, 0xc5601994af33f779ULL, + 0x75c4a3416cc92e67ULL, 0xf3844652a6eb7fc2ULL, + 0x3487e375fdd0ef64ULL, 0x18ae430704609eedULL, + 0x4d14efb993298efbULL, 0x815a620cb13e4538ULL, + 0x125c354207487869ULL, 0x9eeea614ce42cf48ULL, + 0xce2d3106d61fac1cULL, 0xbbe99247bad6827bULL, + 0x071a871f7b1c149dULL, 0x2e4a1cc10db81656ULL, + 0x77a71ff298c149b8ULL, 0x06a5d9c80118a97cULL, + 0xad73c27e488e34b1ULL, 0x443a7b981e0db241ULL, + 0xe3bbcfa355ab6074ULL, 0x0af276450328e684ULL, + 0x73617a896dd1871bULL, 0x58525de4ef7de20fULL, + 0xb7be3dcab8e6cd83ULL, 0x19111dd07e64230cULL, + 0x842359a03e2a367aULL, 0x103f89f1f3401fb6ULL, + 0xdc710444d157d475ULL, 0xb835702334da5845ULL, + 0x4320fc876511a6dcULL, 0xd026abc9d3679b8dULL, + 0x17250eee885c0b2bULL, 0x90dab52a387ae76fULL, + 0x31fed8d972c49c26ULL, 0x89cba8fa461ec463ULL, + 0x2ff5421677bcabb7ULL, 0x396f122f85e41d7dULL, + 0xa09b332430bac6a8ULL, 0xc888e8ced7070560ULL, + 0xaeaf201ac682ee8fULL, 0x1180d7268944a257ULL, + 0xf058a43628e7a5fcULL, 0xbd4c4b8fbbce2b07ULL, + 0xa1246df34abe7b49ULL, 0x7d5569b79be9af3cULL, + 0xa9b5a705bd9efa12ULL, 0xdb6b835baa4bc0e8ULL, + 0x05793bac8f147342ULL, 0x21c1512881848390ULL, + 0xfdb0556c50d357e5ULL, 0x613d4fcb6a99ff72ULL, + 0x03dce2648e0cda3eULL, 0xe949b9e6568386f0ULL, + 0xfc0f0bbb2ad7ea04ULL, 0x6a70675913b5a417ULL, + 0x7f36d5046fe1c8e3ULL, 0x0c57af8d02304ff8ULL, + 0x32223abdfcc84618ULL, 0x0891caf6f720815bULL, + 0xa63eeaec31a26fd4ULL, 0x2507345374944d33ULL, + 0x49d28ac266394058ULL, 0xf5219f9aa7f3d6beULL, + 0x2d96fea583b4cc68ULL, 0x5a31e1571b7585d0ULL, + 0x8ed12fe53d02d0feULL, 0xdfade6205f5b0e4bULL, + 0x4cabb16ee92d331aULL, 0x04c6657bf510cea3ULL, + 0xd73c2cd6a87b8f10ULL, 0xe1d87310a1a307abULL, + 0x6cd5be9112ad0d6bULL, 0x97c032354366f3f2ULL, + 0xd4e0ceb22677552eULL, 0x0000000000000000ULL, + 0x29509bde76a402cbULL, 0xc27a9e8bd42fe3e4ULL, + 0x5ef7842cee654b73ULL, 0xaf107ecdbc86536eULL, + 0x3fcacbe784fcb401ULL, 0xd55f90655c73e8cfULL, + 0xe6c2f40fdabf1336ULL, 0xe8f6e7312c873b11ULL, + 0xeb2a0555a28be12fULL, 0xe4a148bc2eb774e9ULL, + 0x9b979db84156bc0aULL, 0x6eb60222e6a56ab4ULL, + 0x87ffbbc4b026ec44ULL, 0xc703a5275b3b90a6ULL, + 0x47e699fc9001687fULL, 0x9c8d1aa73a4aa897ULL, + 0x7cea3760e1ed12ddULL, 0x4ec80ddd1d2554c5ULL, + 0x13e36b957d4cc588ULL, 0x5d2b66486069914dULL, + 0x92b90999cc7280b0ULL, 0x517cc9c56259deb5ULL, + 0xc937b619ad03b881ULL, 0xec30824ad997f5b2ULL, + 0xa45d565fc5aa080bULL, 0xd6837201d27f32f1ULL, + 0x635ef3789e9198adULL, 0x531f75769651b96aULL, + 0x4f77530a6721e924ULL, 0x486dd4151c3dfdb9ULL, + 0x5f48dafb9461f692ULL, 0x375b011173dc355aULL, + 0x3da9775470f4d3deULL, 0x8d0dcd81b30e0ac0ULL, + 0x36e45fc609d888bbULL, 0x55baacbe97491016ULL, + 0x8cb29356c90ab721ULL, 0x76184125e2c5f459ULL, + 0x99f4210bb55edbd5ULL, 0x6f095cf59ca1d755ULL, + 0x9f51f8c3b44672a9ULL, 0x3538bda287d45285ULL, + 0x50c39712185d6354ULL, 0xf23b1885dcefc223ULL, + 0x79930ccc6ef9619fULL, 0xed8fdc9da3934853ULL, + 0xcb540aaa590bdf5eULL, 0x5c94389f1a6d2cacULL, + 0xe77daad8a0bbaed7ULL, 0x28efc5090ca0bf2aULL, + 0xbf2ff73c4fc64cd8ULL, 0xb37858b14df60320ULL, + 0xf8c96ec0dfc724a7ULL, 0x828680683f329f06ULL, + 0x941cd051cd6a29ccULL, 0xc3c5c05cae2b5e05ULL, + 0xb601631dc2e27062ULL, 0xc01922382027843bULL, + 0x24b86a840e90f0d2ULL, 0xd245177a276ffc52ULL, + 0x0f8b4de98c3c95c6ULL, 0x3e759530fef809e0ULL, + 0x0b4d2892792c5b65ULL, 0xc4df4743d5374a98ULL, + 0xa5e20888bfaeb5eaULL, 0xba56cc90c0d23f9aULL, + 0x38d04cf8ffe0a09cULL, 0x62e1adafe495254cULL, + 0x0263bcb3f40867dfULL, 0xcaeb547d230f62bfULL, + 0x6082111c109d4293ULL, 0xdad4dd8cd04f7d09ULL, + 0xefec602e579b2f8cULL, 0x1fb4c4187f7c8a70ULL, + 0xffd3e9dfa4db303aULL, 0x7bf0b07f9af10640ULL, + 0xf49ec14dddf76b5fULL, 0x8f6e713247066d1fULL, + 0x339d646a86ccfbf9ULL, 0x64447467e58d8c30ULL, + 0x2c29a072f9b07189ULL, 0xd8b7613f24471ad6ULL, + 0x6627c8d41185ebefULL, 0xa347d140beb61c96ULL, + 0xde12b8f7255fb3aaULL, 0x9d324470404e1576ULL, + 0x9306574eb6763d51ULL, 0xa80af9d2c79a47f3ULL, + 0x859c0777442e8b9bULL, 0x69ac853d9db97e29ULL }, + /* 6 */ + { 0xc3407dfc2de6377eULL, 0x5b9e93eea4256f77ULL, + 0xadb58fdd50c845e0ULL, 0x5219ff11a75bed86ULL, + 0x356b61cfd90b1de9ULL, 0xfb8f406e25abe037ULL, + 0x7a5a0231c0f60796ULL, 0x9d3cd216e1f5020bULL, + 0x0c6550fb6b48d8f3ULL, 0xf57508c427ff1c62ULL, + 0x4ad35ffa71cb407dULL, 0x6290a2da1666aa6dULL, + 0xe284ec2349355f9fULL, 0xb3c307c53d7c84ecULL, + 0x05e23c0468365a02ULL, 0x190bac4d6c9ebfa8ULL, + 0x94bbbee9e28b80faULL, 0xa34fc777529cb9b5ULL, + 0xcc7b39f095bcd978ULL, 0x2426addb0ce532e3ULL, + 0x7e79329312ce4fc7ULL, 0xab09a72eebec2917ULL, + 0xf8d15499f6b9d6c2ULL, 0x1a55b8babf8c895dULL, + 0xdb8add17fb769a85ULL, 0xb57f2f368658e81bULL, + 0x8acd36f18f3f41f6ULL, 0x5ce3b7bba50f11d3ULL, + 0x114dcc14d5ee2f0aULL, 0xb91a7fcded1030e8ULL, + 0x81d5425fe55de7a1ULL, 0xb6213bc1554adeeeULL, + 0x80144ef95f53f5f2ULL, 0x1e7688186db4c10cULL, + 0x3b912965db5fe1bcULL, 0xc281715a97e8252dULL, + 0x54a5d7e21c7f8171ULL, 0x4b12535ccbc5522eULL, + 0x1d289cefbea6f7f9ULL, 0x6ef5f2217d2e729eULL, + 0xe6a7dc819b0d17ceULL, 0x1b94b41c05829b0eULL, + 0x33d7493c622f711eULL, 0xdcf7f942fa5ce421ULL, + 0x600fba8b7f7a8ecbULL, 0x46b60f011a83988eULL, + 0x235b898e0dcf4c47ULL, 0x957ab24f588592a9ULL, + 0x4354330572b5c28cULL, 0xa5f3ef84e9b8d542ULL, + 0x8c711e02341b2d01ULL, 0x0b1874ae6a62a657ULL, + 0x1213d8e306fc19ffULL, 0xfe6d7c6a4d9dba35ULL, + 0x65ed868f174cd4c9ULL, 0x88522ea0e6236550ULL, + 0x899322065c2d7703ULL, 0xc01e690bfef4018bULL, + 0x915982ed8abddaf8ULL, 0xbe675b98ec3a4e4cULL, + 0xa996bf7f82f00db1ULL, 0xe1daf8d49a27696aULL, + 0x2effd5d3dc8986e7ULL, 0xd153a51f2b1a2e81ULL, + 0x18caa0ebd690adfbULL, 0x390e3134b243c51aULL, + 0x2778b92cdff70416ULL, 0x029f1851691c24a6ULL, + 0x5e7cafeacc133575ULL, 0xfa4e4cc89fa5f264ULL, + 0x5a5f9f481e2b7d24ULL, 0x484c47ab18d764dbULL, + 0x400a27f2a1a7f479ULL, 0xaeeb9b2a83da7315ULL, + 0x721c626879869734ULL, 0x042330a2d2384851ULL, + 0x85f672fd3765aff0ULL, 0xba446b3a3e02061dULL, + 0x73dd6ecec3888567ULL, 0xffac70ccf793a866ULL, + 0xdfa9edb5294ed2d4ULL, 0x6c6aea7014325638ULL, + 0x834a5a0e8c41c307ULL, 0xcdba35562fb2cb2bULL, + 0x0ad97808d06cb404ULL, 0x0f3b440cb85aee06ULL, + 0xe5f9c876481f213bULL, 0x98deee1289c35809ULL, + 0x59018bbfcd394bd1ULL, 0xe01bf47220297b39ULL, + 0xde68e1139340c087ULL, 0x9fa3ca4788e926adULL, + 0xbb85679c840c144eULL, 0x53d8f3b71d55ffd5ULL, + 0x0da45c5dd146caa0ULL, 0x6f34fe87c72060cdULL, + 0x57fbc315cf6db784ULL, 0xcee421a1fca0fddeULL, + 0x3d2d0196607b8d4bULL, 0x642c8a29ad42c69aULL, + 0x14aff010bdd87508ULL, 0xac74837beac657b3ULL, + 0x3216459ad821634dULL, 0x3fb219c70967a9edULL, + 0x06bc28f3bb246cf7ULL, 0xf2082c9126d562c6ULL, + 0x66b39278c45ee23cULL, 0xbd394f6f3f2878b9ULL, + 0xfd33689d9e8f8cc0ULL, 0x37f4799eb017394fULL, + 0x108cc0b26fe03d59ULL, 0xda4bd1b1417888d6ULL, + 0xb09d1332ee6eb219ULL, 0x2f3ed975668794b4ULL, + 0x58c0871977375982ULL, 0x7561463d78ace990ULL, + 0x09876cff037e82f1ULL, 0x7fb83e35a8c05d94ULL, + 0x26b9b58a65f91645ULL, 0xef20b07e9873953fULL, + 0x3148516d0b3355b8ULL, 0x41cb2b541ba9e62aULL, + 0x790416c613e43163ULL, 0xa011d380818e8f40ULL, + 0x3a5025c36151f3efULL, 0xd57095bdf92266d0ULL, + 0x498d4b0da2d97688ULL, 0x8b0c3a57353153a5ULL, + 0x21c491df64d368e1ULL, 0x8f2f0af5e7091bf4ULL, + 0x2da1c1240f9bb012ULL, 0xc43d59a92ccc49daULL, + 0xbfa6573e56345c1fULL, 0x828b56a8364fd154ULL, + 0x9a41f643e0df7cafULL, 0xbcf843c985266aeaULL, + 0x2b1de9d7b4bfdce5ULL, 0x20059d79dedd7ab2ULL, + 0x6dabe6d6ae3c446bULL, 0x45e81bf6c991ae7bULL, + 0x6351ae7cac68b83eULL, 0xa432e32253b6c711ULL, + 0xd092a9b991143cd2ULL, 0xcac711032e98b58fULL, + 0xd8d4c9e02864ac70ULL, 0xc5fc550f96c25b89ULL, + 0xd7ef8dec903e4276ULL, 0x67729ede7e50f06fULL, + 0xeac28c7af045cf3dULL, 0xb15c1f945460a04aULL, + 0x9cfddeb05bfb1058ULL, 0x93c69abce3a1fe5eULL, + 0xeb0380dc4a4bdd6eULL, 0xd20db1e8f8081874ULL, + 0x229a8528b7c15e14ULL, 0x44291750739fbc28ULL, + 0xd3ccbd4e42060a27ULL, 0xf62b1c33f4ed2a97ULL, + 0x86a8660ae4779905ULL, 0xd62e814a2a305025ULL, + 0x477703a7a08d8addULL, 0x7b9b0e977af815c5ULL, + 0x78c51a60a9ea2330ULL, 0xa6adfb733aaae3b7ULL, + 0x97e5aa1e3199b60fULL, 0x0000000000000000ULL, + 0xf4b404629df10e31ULL, 0x5564db44a6719322ULL, + 0x9207961a59afec0dULL, 0x9624a6b88b97a45cULL, + 0x363575380a192b1cULL, 0x2c60cd82b595a241ULL, + 0x7d272664c1dc7932ULL, 0x7142769faa94a1c1ULL, + 0xa1d0df263b809d13ULL, 0x1630e841d4c451aeULL, + 0xc1df65ad44fa13d8ULL, 0x13d2d445bcf20bacULL, + 0xd915c546926abe23ULL, 0x38cf3d92084dd749ULL, + 0xe766d0272103059dULL, 0xc7634d5effde7f2fULL, + 0x077d2455012a7ea4ULL, 0xedbfa82ff16fb199ULL, + 0xaf2a978c39d46146ULL, 0x42953fa3c8bbd0dfULL, + 0xcb061da59496a7dcULL, 0x25e7a17db6eb20b0ULL, + 0x34aa6d6963050fbaULL, 0xa76cf7d580a4f1e4ULL, + 0xf7ea10954ee338c4ULL, 0xfcf2643b24819e93ULL, + 0xcf252d0746aeef8dULL, 0x4ef06f58a3f3082cULL, + 0x563acfb37563a5d7ULL, 0x5086e740ce47c920ULL, + 0x2982f186dda3f843ULL, 0x87696aac5e798b56ULL, + 0x5d22bb1d1f010380ULL, 0x035e14f7d31236f5ULL, + 0x3cec0d30da759f18ULL, 0xf3c920379cdb7095ULL, + 0xb8db736b571e22bbULL, 0xdd36f5e44052f672ULL, + 0xaac8ab8851e23b44ULL, 0xa857b3d938fe1fe2ULL, + 0x17f1e4e76eca43fdULL, 0xec7ea4894b61a3caULL, + 0x9e62c6e132e734feULL, 0xd4b1991b432c7483ULL, + 0x6ad6c283af163acfULL, 0x1ce9904904a8e5aaULL, + 0x5fbda34c761d2726ULL, 0xf910583f4cb7c491ULL, + 0xc6a241f845d06d7cULL, 0x4f3163fe19fd1a7fULL, + 0xe99c988d2357f9c8ULL, 0x8eee06535d0709a7ULL, + 0x0efa48aa0254fc55ULL, 0xb4be23903c56fa48ULL, + 0x763f52caabbedf65ULL, 0xeee1bcd8227d876cULL, + 0xe345e085f33b4dccULL, 0x3e731561b369bbbeULL, + 0x2843fd2067adea10ULL, 0x2adce5710eb1ceb6ULL, + 0xb7e03767ef44ccbdULL, 0x8db012a48e153f52ULL, + 0x61ceb62dc5749c98ULL, 0xe85d942b9959eb9bULL, + 0x4c6f7709caef2c8aULL, 0x84377e5b8d6bbda3ULL, + 0x30895dcbb13d47ebULL, 0x74a04a9bc2a2fbc3ULL, + 0x6b17ce251518289cULL, 0xe438c4d0f2113368ULL, + 0x1fb784bed7bad35fULL, 0x9b80fae55ad16efcULL, + 0x77fe5e6c11b0cd36ULL, 0xc858095247849129ULL, + 0x08466059b97090a2ULL, 0x01c10ca6ba0e1253ULL, + 0x6988d6747c040c3aULL, 0x6849dad2c60a1e69ULL, + 0x5147ebe67449db73ULL, 0xc99905f4fd8a837aULL, + 0x991fe2b433cd4a5aULL, 0xf09734c04fc94660ULL, + 0xa28ecbd1e892abe6ULL, 0xf1563866f5c75433ULL, + 0x4dae7baf70e13ed9ULL, 0x7ce62ac27bd26b61ULL, + 0x70837a39109ab392ULL, 0x90988e4b30b3c8abULL, + 0xb2020b63877296bfULL, 0x156efcb607d6675bULL }, + /* 7 */ + { 0xe63f55ce97c331d0ULL, 0x25b506b0015bba16ULL, + 0xc8706e29e6ad9ba8ULL, 0x5b43d3775d521f6aULL, + 0x0bfa3d577035106eULL, 0xab95fc172afb0e66ULL, + 0xf64b63979e7a3276ULL, 0xf58b4562649dad4bULL, + 0x48f7c3dbae0c83f1ULL, 0xff31916642f5c8c5ULL, + 0xcbb048dc1c4a0495ULL, 0x66b8f83cdf622989ULL, + 0x35c130e908e2b9b0ULL, 0x7c761a61f0b34fa1ULL, + 0x3601161cf205268dULL, 0x9e54ccfe2219b7d6ULL, + 0x8b7d90a538940837ULL, 0x9cd403588ea35d0bULL, + 0xbc3c6fea9ccc5b5aULL, 0xe5ff733b6d24aeedULL, + 0xceed22de0f7eb8d2ULL, 0xec8581cab1ab545eULL, + 0xb96105e88ff8e71dULL, 0x8ca03501871a5eadULL, + 0x76ccce65d6db2a2fULL, 0x5883f582a7b58057ULL, + 0x3f7be4ed2e8adc3eULL, 0x0fe7be06355cd9c9ULL, + 0xee054e6c1d11be83ULL, 0x1074365909b903a6ULL, + 0x5dde9f80b4813c10ULL, 0x4a770c7d02b6692cULL, + 0x5379c8d5d7809039ULL, 0xb4067448161ed409ULL, + 0x5f5e5026183bd6cdULL, 0xe898029bf4c29df9ULL, + 0x7fb63c940a54d09cULL, 0xc5171f897f4ba8bcULL, + 0xa6f28db7b31d3d72ULL, 0x2e4f3be7716eaa78ULL, + 0x0d6771a099e63314ULL, 0x82076254e41bf284ULL, + 0x2f0fd2b42733df98ULL, 0x5c9e76d3e2dc49f0ULL, + 0x7aeb569619606cdbULL, 0x83478b07b2468764ULL, + 0xcfadcb8d5923cd32ULL, 0x85dac7f05b95a41eULL, + 0xb5469d1b4043a1e9ULL, 0xb821ecbbd9a592fdULL, + 0x1b8e0b0e798c13c8ULL, 0x62a57b6d9a0be02eULL, + 0xfcf1b793b81257f8ULL, 0x9d94ea0bd8fe28ebULL, + 0x4cea408aeb654a56ULL, 0x23284a47e888996cULL, + 0x2d8f1d128b893545ULL, 0xf4cbac3132c0d8abULL, + 0xbd7c86b9ca912ebaULL, 0x3a268eef3dbe6079ULL, + 0xf0d62f6077a9110cULL, 0x2735c916ade150cbULL, + 0x89fd5f03942ee2eaULL, 0x1acee25d2fd16628ULL, + 0x90f39bab41181bffULL, 0x430dfe8cde39939fULL, + 0xf70b8ac4c8274796ULL, 0x1c53aeaac6024552ULL, + 0x13b410acf35e9c9bULL, 0xa532ab4249faa24fULL, + 0x2b1251e5625a163fULL, 0xd7e3e676da4841c7ULL, + 0xa7b264e4e5404892ULL, 0xda8497d643ae72d3ULL, + 0x861ae105a1723b23ULL, 0x38a6414991048aa4ULL, + 0x6578dec92585b6b4ULL, 0x0280cfa6acbaeaddULL, + 0x88bdb650c273970aULL, 0x9333bd5ebbff84c2ULL, + 0x4e6a8f2c47dfa08bULL, 0x321c954db76cef2aULL, + 0x418d312a72837942ULL, 0xb29b38bfffcdf773ULL, + 0x6c022c38f90a4c07ULL, 0x5a033a240b0f6a8aULL, + 0x1f93885f3ce5da6fULL, 0xc38a537e96988bc6ULL, + 0x39e6a81ac759ff44ULL, 0x29929e43cee0fce2ULL, + 0x40cdd87924de0ca2ULL, 0xe9d8ebc8a29fe819ULL, + 0x0c2798f3cfbb46f4ULL, 0x55e484223e53b343ULL, + 0x4650948ecd0d2fd8ULL, 0x20e86cb2126f0651ULL, + 0x6d42c56baf5739e7ULL, 0xa06fc1405ace1e08ULL, + 0x7babbfc54f3d193bULL, 0x424d17df8864e67fULL, + 0xd8045870ef14980eULL, 0xc6d7397c85ac3781ULL, + 0x21a885e1443273b1ULL, 0x67f8116f893f5c69ULL, + 0x24f5efe35706cff6ULL, 0xd56329d076f2ab1aULL, + 0x5e1eb9754e66a32dULL, 0x28d2771098bd8902ULL, + 0x8f6013f47dfdc190ULL, 0x17a993fdb637553cULL, + 0xe0a219397e1012aaULL, 0x786b9930b5da8606ULL, + 0x6e82e39e55b0a6daULL, 0x875a0856f72f4ec3ULL, + 0x3741ff4fa458536dULL, 0xac4859b3957558fcULL, + 0x7ef6d5c75c09a57cULL, 0xc04a758b6c7f14fbULL, + 0xf9acdd91ab26ebbfULL, 0x7391a467c5ef9668ULL, + 0x335c7c1ee1319acaULL, 0xa91533b18641e4bbULL, + 0xe4bf9a683b79db0dULL, 0x8e20faa72ba0b470ULL, + 0x51f907737b3a7ae4ULL, 0x2268a314bed5ec8cULL, + 0xd944b123b949edeeULL, 0x31dcb3b84d8b7017ULL, + 0xd3fe65279f218860ULL, 0x097af2f1dc8ffab3ULL, + 0x9b09a6fc312d0b91ULL, 0xcc6ded78a3c4520fULL, + 0x3481d9ba5ebfcc50ULL, 0x4f2a667f1182d56bULL, + 0xdfd9fdd4509ace94ULL, 0x26752045fbbc252bULL, + 0xbffc491f662bc467ULL, 0xdd593272fc202449ULL, + 0x3cbbc218d46d4303ULL, 0x91b372f817456e1fULL, + 0x681faf69bc6385a0ULL, 0xb686bbeebaa43ed4ULL, + 0x1469b5084cd0ca01ULL, 0x98c98009cbca94acULL, + 0x6438379a73d8c354ULL, 0xc2caba2dc0c5fe26ULL, + 0x3e3b0dbe78d7a9deULL, 0x50b9ee202d670f04ULL, + 0x4590b27b37eab0e5ULL, 0x6025b4cb36b10af3ULL, + 0xfb2c1237079c0162ULL, 0xa12f28130c936be8ULL, + 0x4b37e52e54eb1cccULL, 0x083a1ba28ad28f53ULL, + 0xc10a9cd83a22611bULL, 0x9f1425ad7444c236ULL, + 0x069d4cf7e9d3237aULL, 0xedc56899e7f621beULL, + 0x778c273680865fcfULL, 0x309c5aeb1bd605f7ULL, + 0x8de0dc52d1472b4dULL, 0xf8ec34c2fd7b9e5fULL, + 0xea18cd3d58787724ULL, 0xaad515447ca67b86ULL, + 0x9989695a9d97e14cULL, 0x0000000000000000ULL, + 0xf196c63321f464ecULL, 0x71116bc169557cb5ULL, + 0xaf887f466f92c7c1ULL, 0x972e3e0ffe964d65ULL, + 0x190ec4a8d536f915ULL, 0x95aef1a9522ca7b8ULL, + 0xdc19db21aa7d51a9ULL, 0x94ee18fa0471d258ULL, + 0x8087adf248a11859ULL, 0xc457f6da2916dd5cULL, + 0xfa6cfb6451c17482ULL, 0xf256e0c6db13fbd1ULL, + 0x6a9f60cf10d96f7dULL, 0x4daaa9d9bd383fb6ULL, + 0x03c026f5fae79f3dULL, 0xde99148706c7bb74ULL, + 0x2a52b8b6340763dfULL, 0x6fc20acd03edd33aULL, + 0xd423c08320afdefaULL, 0xbbe1ca4e23420dc0ULL, + 0x966ed75ca8cb3885ULL, 0xeb58246e0e2502c4ULL, + 0x055d6a021334bc47ULL, 0xa47242111fa7d7afULL, + 0xe3623fcc84f78d97ULL, 0x81c744a11efc6db9ULL, + 0xaec8961539cfb221ULL, 0xf31609958d4e8e31ULL, + 0x63e5923ecc5695ceULL, 0x47107ddd9b505a38ULL, + 0xa3afe7b5a0298135ULL, 0x792b7063e387f3e6ULL, + 0x0140e953565d75e0ULL, 0x12f4f9ffa503e97bULL, + 0x750ce8902c3cb512ULL, 0xdbc47e8515f30733ULL, + 0x1ed3610c6ab8af8fULL, 0x5239218681dde5d9ULL, + 0xe222d69fd2aaf877ULL, 0xfe71783514a8bd25ULL, + 0xcaf0a18f4a177175ULL, 0x61655d9860ec7f13ULL, + 0xe77fbc9dc19e4430ULL, 0x2ccff441ddd440a5ULL, + 0x16e97aaee06a20dcULL, 0xa855dae2d01c915bULL, + 0x1d1347f9905f30b2ULL, 0xb7c652bdecf94b34ULL, + 0xd03e43d265c6175dULL, 0xfdb15ec0ee4f2218ULL, + 0x57644b8492e9599eULL, 0x07dda5a4bf8e569aULL, + 0x54a46d71680ec6a3ULL, 0x5624a2d7c4b42c7eULL, + 0xbebca04c3076b187ULL, 0x7d36f332a6ee3a41ULL, + 0x3b6667bc6be31599ULL, 0x695f463aea3ef040ULL, + 0xad08b0e0c3282d1cULL, 0xb15b1e4a052a684eULL, + 0x44d05b2861b7c505ULL, 0x15295c5b1a8dbfe1ULL, + 0x744c01c37a61c0f2ULL, 0x59c31cd1f1e8f5b7ULL, + 0xef45a73f4b4ccb63ULL, 0x6bdf899c46841a9dULL, + 0x3dfb2b4b823036e3ULL, 0xa2ef0ee6f674f4d5ULL, + 0x184e2dfb836b8cf5ULL, 0x1134df0a5fe47646ULL, + 0xbaa1231d751f7820ULL, 0xd17eaa81339b62bdULL, + 0xb01bf71953771daeULL, 0x849a2ea30dc8d1feULL, + 0x705182923f080955ULL, 0x0ea757556301ac29ULL, + 0x041d83514569c9a7ULL, 0x0abad4042668658eULL, + 0x49b72a88f851f611ULL, 0x8a3d79f66ec97dd7ULL, + 0xcd2d042bf59927efULL, 0xc930877ab0f0ee48ULL, + 0x9273540deda2f122ULL, 0xc797d02fd3f14261ULL, + 0xe1e2f06a284d674aULL, 0xd2be8c74c97cfd80ULL, + 0x9a494faf67707e71ULL, 0xb3dbd1eca9908293ULL, + 0x72d14d3493b2e388ULL, 0xd6a30f258c153427ULL }, +}; + +static const uint64_t C16[12][8] = +{ + { 0xdd806559f2a64507ULL, 0x05767436cc744d23ULL, + 0xa2422a08a460d315ULL, 0x4b7ce09192676901ULL, + 0x714eb88d7585c4fcULL, 0x2f6a76432e45d016ULL, + 0xebcb2f81c0657c1fULL, 0xb1085bda1ecadae9ULL }, + { 0xe679047021b19bb7ULL, 0x55dda21bd7cbcd56ULL, + 0x5cb561c2db0aa7caULL, 0x9ab5176b12d69958ULL, + 0x61d55e0f16b50131ULL, 0xf3feea720a232b98ULL, + 0x4fe39d460f70b5d7ULL, 0x6fa3b58aa99d2f1aULL }, + { 0x991e96f50aba0ab2ULL, 0xc2b6f443867adb31ULL, + 0xc1c93a376062db09ULL, 0xd3e20fe490359eb1ULL, + 0xf2ea7514b1297b7bULL, 0x06f15e5f529c1f8bULL, + 0x0a39fc286a3d8435ULL, 0xf574dcac2bce2fc7ULL }, + { 0x220cbebc84e3d12eULL, 0x3453eaa193e837f1ULL, + 0xd8b71333935203beULL, 0xa9d72c82ed03d675ULL, + 0x9d721cad685e353fULL, 0x488e857e335c3c7dULL, + 0xf948e1a05d71e4ddULL, 0xef1fdfb3e81566d2ULL }, + { 0x601758fd7c6cfe57ULL, 0x7a56a27ea9ea63f5ULL, + 0xdfff00b723271a16ULL, 0xbfcd1747253af5a3ULL, + 0x359e35d7800fffbdULL, 0x7f151c1f1686104aULL, + 0x9a3f410c6ca92363ULL, 0x4bea6bacad474799ULL }, + { 0xfa68407a46647d6eULL, 0xbf71c57236904f35ULL, + 0x0af21f66c2bec6b6ULL, 0xcffaa6b71c9ab7b4ULL, + 0x187f9ab49af08ec6ULL, 0x2d66c4f95142a46cULL, + 0x6fa4c33b7a3039c0ULL, 0xae4faeae1d3ad3d9ULL }, + { 0x8886564d3a14d493ULL, 0x3517454ca23c4af3ULL, + 0x06476983284a0504ULL, 0x0992abc52d822c37ULL, + 0xd3473e33197a93c9ULL, 0x399ec6c7e6bf87c9ULL, + 0x51ac86febf240954ULL, 0xf4c70e16eeaac5ecULL }, + { 0xa47f0dd4bf02e71eULL, 0x36acc2355951a8d9ULL, + 0x69d18d2bd1a5c42fULL, 0xf4892bcb929b0690ULL, + 0x89b4443b4ddbc49aULL, 0x4eb7f8719c36de1eULL, + 0x03e7aa020c6e4141ULL, 0x9b1f5b424d93c9a7ULL }, + { 0x7261445183235adbULL, 0x0e38dc92cb1f2a60ULL, + 0x7b2b8a9aa6079c54ULL, 0x800a440bdbb2ceb1ULL, + 0x3cd955b7e00d0984ULL, 0x3a7d3a1b25894224ULL, + 0x944c9ad8ec165fdeULL, 0x378f5a541631229bULL }, + { 0x74b4c7fb98459cedULL, 0x3698fad1153bb6c3ULL, + 0x7a1e6c303b7652f4ULL, 0x9fe76702af69334bULL, + 0x1fffe18a1b336103ULL, 0x8941e71cff8a78dbULL, + 0x382ae548b2e4f3f3ULL, 0xabbedea680056f52ULL }, + { 0x6bcaa4cd81f32d1bULL, 0xdea2594ac06fd85dULL, + 0xefbacd1d7d476e98ULL, 0x8a1d71efea48b9caULL, + 0x2001802114846679ULL, 0xd8fa6bbbebab0761ULL, + 0x3002c6cd635afe94ULL, 0x7bcd9ed0efc889fbULL }, + { 0x48bc924af11bd720ULL, 0xfaf417d5d9b21b99ULL, + 0xe71da4aa88e12852ULL, 0x5d80ef9d1891cc86ULL, + 0xf82012d430219f9bULL, 0xcda43c32bcdf1d77ULL, + 0xd21380b00449b17aULL, 0x378ee767f11631baULL }, +}; + +#define strido(out, temp, i) do { \ + uint64_t t; \ + t = streebog_table[0][(temp[0] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[1][(temp[1] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[2][(temp[2] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[3][(temp[3] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[4][(temp[4] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[5][(temp[5] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[6][(temp[6] >> (i * 8)) & 0xff]; \ + t ^= streebog_table[7][(temp[7] >> (i * 8)) & 0xff]; \ + out[i] = t; } while(0) + +static void LPSX (uint64_t *out, const uint64_t *a, const uint64_t *b) +{ + uint64_t temp[8]; + temp[0] = a[0] ^ b[0]; + temp[1] = a[1] ^ b[1]; + temp[2] = a[2] ^ b[2]; + temp[3] = a[3] ^ b[3]; + temp[4] = a[4] ^ b[4]; + temp[5] = a[5] ^ b[5]; + temp[6] = a[6] ^ b[6]; + temp[7] = a[7] ^ b[7]; + strido (out, temp, 0); + strido (out, temp, 1); + strido (out, temp, 2); + strido (out, temp, 3); + strido (out, temp, 4); + strido (out, temp, 5); + strido (out, temp, 6); + strido (out, temp, 7); +} + +static inline void g (uint64_t *h, uint64_t *m, uint64_t *N) +{ + uint64_t K[8]; + uint64_t T[8]; + int i; + + LPSX (K, h, N); + + LPSX (T, K, m); + LPSX (K, K, C16[0]); + for (i = 1; i < 12; i++) + { + LPSX (T, K, T); + LPSX (K, K, C16[i]); + } + + h[0] ^= T[0] ^ K[0] ^ m[0]; + h[1] ^= T[1] ^ K[1] ^ m[1]; + h[2] ^= T[2] ^ K[2] ^ m[2]; + h[3] ^= T[3] ^ K[3] ^ m[3]; + h[4] ^= T[4] ^ K[4] ^ m[4]; + h[5] ^= T[5] ^ K[5] ^ m[5]; + h[6] ^= T[6] ^ K[6] ^ m[6]; + h[7] ^= T[7] ^ K[7] ^ m[7]; +} + + +static void +streebog512_compress (struct streebog512_ctx *ctx, const uint8_t *input, size_t count) +{ + uint64_t M[8]; + uint64_t l, cf; + int i; + + for (i = 0; i < 8; i++, input += 8) + M[i] = LE_READ_UINT64(input); + + g (ctx->state, M, ctx->count); + l = ctx->count[0]; + ctx->count[0] += count; + if (ctx->count[0] < l) + { /* overflow */ + for (i = 1; i < 8; i++) + { + ctx->count[i]++; + if (ctx->count[i] != 0) + break; + } + } + + cf = 0; + ctx->sigma[0] += M[0]; + for (i = 1; i < 8; i++) + { + if (ctx->sigma[i-1] != M[i-1]) + cf = (ctx->sigma[i-1] < M[i-1]); + ctx->sigma[i] += M[i] + cf; + } +} + +static void +streebog_final (struct streebog512_ctx *ctx) +{ + uint64_t Z[8] = {}; + unsigned int i; + + /* PAD. It does not count towards message length */ + i = ctx->index; + /* We have at least one byte free) */ + ctx->block[i++] = 1; + while (i < 64) + ctx->block[i++] = 0; + streebog512_compress (ctx, ctx->block, ctx->index * 8); + + g (ctx->state, ctx->count, Z); + g (ctx->state, ctx->sigma, Z); +} + +#define COMPRESS(ctx, data) (streebog512_compress((ctx), (data), 64 * 8)) + +void +streebog512_init(struct streebog512_ctx *ctx) +{ + memset(ctx->state, 0, sizeof(ctx->state)); + memset(ctx->count, 0, sizeof(ctx->count)); + memset(ctx->sigma, 0, sizeof(ctx->sigma)); + + /* Initialize buffer */ + ctx->index = 0; +} + +void +streebog512_update(struct streebog512_ctx *ctx, + size_t length, const uint8_t *data) +{ + MD_UPDATE (ctx, length, data, COMPRESS, (void)0); +} + +static void +streebog512_write_digest(struct streebog512_ctx *ctx, + size_t offset, size_t length, + uint8_t *digest) +{ + unsigned i; + unsigned words; + unsigned leftover; + + assert(offset + length <= STREEBOG512_DIGEST_SIZE); + + streebog_final(ctx); + + words = length / 8; + leftover = length % 8; + + for (i = 0; i < words; i++, digest += 8) + LE_WRITE_UINT64(digest, ctx->state[offset + i]); + + if (leftover) + { + /* Truncate to the right size */ + uint64_t word = ctx->state[offset + i] << (8*(8 - leftover)); + + do { + digest[--leftover] = (word >> 56) & 0xff; + word <<= 8; + } while (leftover); + } +} + +void +streebog512_digest(struct streebog512_ctx *ctx, + size_t length, + uint8_t *digest) +{ + assert(length <= STREEBOG512_DIGEST_SIZE); + + streebog512_write_digest(ctx, 0, length, digest); + streebog512_init(ctx); +} + +void +streebog256_init(struct streebog256_ctx *ctx) +{ + memset(ctx->state, 1, sizeof(ctx->state)); + memset(ctx->count, 0, sizeof(ctx->count)); + memset(ctx->sigma, 0, sizeof(ctx->sigma)); + + /* Initialize buffer */ + ctx->index = 0; +} + +void +streebog256_digest(struct streebog256_ctx *ctx, + size_t length, + uint8_t *digest) +{ + assert(length <= STREEBOG256_DIGEST_SIZE); + + streebog512_write_digest(ctx, + 4, + length, + digest); + streebog256_init(ctx); +} diff --git a/streebog.h b/streebog.h new file mode 100644 index 000000000000..3408224e0240 --- /dev/null +++ b/streebog.h @@ -0,0 +1,99 @@ +/* streebog.h + + The Streebog family of hash functions. + + Copyright (C) 2015 Dmitry Eremin-Solenikov + + This file is part of GNU Nettle. + + GNU Nettle is free software: you can redistribute it and/or + modify it under the terms of either: + + * the GNU Lesser General Public License as published by the Free + Software Foundation; either version 3 of the License, or (at your + option) any later version. + + or + + * the GNU General Public License as published by the Free + Software Foundation; either version 2 of the License, or (at your + option) any later version. + + or both in parallel, as here. + + GNU Nettle 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 + General Public License for more details. + + You should have received copies of the GNU General Public License and + the GNU Lesser General Public License along with this program. If + not, see http://www.gnu.org/licenses/. +*/ + +#ifndef NETTLE_STREEBOG_H_INCLUDED +#define NETTLE_STREEBOG_H_INCLUDED + +#include "nettle-types.h" + +#ifdef __cplusplus +extern "C" { +#endif + +/* Name mangling */ +#define streebog256_init nettle_streebog256_init +#define streebog256_digest nettle_streebog256_digest +#define streebog512_init nettle_streebog512_init +#define streebog512_update nettle_streebog512_update +#define streebog512_digest nettle_streebog512_digest + +/* STREEBOG512 */ + +#define STREEBOG512_DIGEST_SIZE 64 +#define STREEBOG512_BLOCK_SIZE 64 + +/* Digest is kept internally as 8 64-bit words. */ +#define _STREEBOG512_DIGEST_LENGTH 8 + +struct streebog512_ctx +{ + uint64_t state[_STREEBOG512_DIGEST_LENGTH]; /* State variables */ + uint64_t count[_STREEBOG512_DIGEST_LENGTH]; + uint64_t sigma[_STREEBOG512_DIGEST_LENGTH]; + unsigned int index; /* index into buffer */ + uint8_t block[STREEBOG512_BLOCK_SIZE]; /* STREEBOG512 data buffer */ +}; + +void +streebog512_init(struct streebog512_ctx *ctx); + +void +streebog512_update(struct streebog512_ctx *ctx, + size_t length, + const uint8_t *data); + +void +streebog512_digest(struct streebog512_ctx *ctx, + size_t length, + uint8_t *digest); + + +#define STREEBOG256_DIGEST_SIZE 32 +#define STREEBOG256_BLOCK_SIZE STREEBOG512_BLOCK_SIZE +#define streebog256_ctx streebog512_ctx + +void +streebog256_init(struct streebog256_ctx *ctx); + +#define streebog256_update nettle_streebog512_update + +void +streebog256_digest(struct streebog256_ctx *ctx, + size_t length, + uint8_t *digest); + +#ifdef __cplusplus +} +#endif + +#endif /* NETTLE_STREEBOG_H_INCLUDED */ diff --git a/testsuite/.gitignore b/testsuite/.gitignore index a2b3d52312cd..280ee45b0dee 100644 --- a/testsuite/.gitignore +++ b/testsuite/.gitignore @@ -96,6 +96,7 @@ /sha512-224-test /sha512-256-test /sha512-test +/streebog-test /twofish-test /umac-test /version-test diff --git a/testsuite/Makefile.in b/testsuite/Makefile.in index 3f5e5f6b995c..c66e139eee62 100644 --- a/testsuite/Makefile.in +++ b/testsuite/Makefile.in @@ -24,7 +24,7 @@ TS_NETTLE_SOURCES = aes-test.c arcfour-test.c arctwo-test.c \ sha384-test.c sha512-test.c sha512-224-test.c sha512-256-test.c \ sha3-permute-test.c sha3-224-test.c sha3-256-test.c \ sha3-384-test.c sha3-512-test.c \ - shake256-test.c \ + shake256-test.c streebog-test.c \ serpent-test.c twofish-test.c version-test.c \ knuth-lfib-test.c \ cbc-test.c cfb-test.c ctr-test.c gcm-test.c eax-test.c ccm-test.c \ diff --git a/testsuite/hmac-test.c b/testsuite/hmac-test.c index de1b6bfe057c..348f7920add9 100644 --- a/testsuite/hmac-test.c +++ b/testsuite/hmac-test.c @@ -866,4 +866,21 @@ test_main(void) SHEX("0126bdb87800af214341456563780100"), SHEX("bad70b61c41095bc47e1141cfaed4272" "6a5ceebd62ce75dbbb9ad76cda9f72f7")); + + /* RFC 7836 */ + HMAC_TEST(streebog512, + SHEX("000102030405060708090a0b0c0d0e0f" + "101112131415161718191a1b1c1d1e1f"), + SHEX("0126bdb87800af214341456563780100"), + SHEX("a59bab22ecae19c65fbde6e5f4e9f5d8" + "549d31f037f9df9b905500e171923a77" + "3d5f1530f2ed7e964cb2eedc29e9ad2f" + "3afe93b2814f79f5000ffc0366c251e6")); + + HMAC_TEST(streebog256, + SHEX("000102030405060708090a0b0c0d0e0f" + "101112131415161718191a1b1c1d1e1f"), + SHEX("0126bdb87800af214341456563780100"), + SHEX("a1aa5f7de402d7b3d323f2991c8d4534" + "013137010a83754fd0af6d7cd4922ed9")); } diff --git a/testsuite/meta-hash-test.c b/testsuite/meta-hash-test.c index 7d863a7c386d..eb9f3698e353 100644 --- a/testsuite/meta-hash-test.c +++ b/testsuite/meta-hash-test.c @@ -20,6 +20,8 @@ const char* hashes[] = { "sha3_256", "sha3_384", "sha3_512", + "streebog256", + "streebog512" }; void diff --git a/testsuite/meta-mac-test.c b/testsuite/meta-mac-test.c index 55339441c99f..adbd43263801 100644 --- a/testsuite/meta-mac-test.c +++ b/testsuite/meta-mac-test.c @@ -12,6 +12,8 @@ const char* macs[] = { "hmac_sha256", "hmac_sha384", "hmac_sha512", + "hmac_streebog256", + "hmac_streebog512", }; void diff --git a/testsuite/pbkdf2-test.c b/testsuite/pbkdf2-test.c index e64a20d09dea..9e024e57b7f5 100644 --- a/testsuite/pbkdf2-test.c +++ b/testsuite/pbkdf2-test.c @@ -19,7 +19,8 @@ ASSERT(dk[expect->length] == 17); \ } while (0) -#define MAX_DKLEN SHA512_DIGEST_SIZE +/* Streebog test has particularly long testcase */ +#define MAX_DKLEN 100 void test_main (void) @@ -29,6 +30,8 @@ test_main (void) struct hmac_sha256_ctx sha256ctx; struct hmac_sha512_ctx sha512ctx; struct hmac_gosthash94cp_ctx gosthash94cpctx; + struct hmac_streebog512_ctx streebog512ctx; + struct hmac_streebog256_ctx streebog256ctx; /* Test vectors for PBKDF2 from RFC 6070. */ @@ -134,4 +137,29 @@ test_main (void) PBKDF2_HMAC_TEST (pbkdf2_hmac_gosthash94cp, LDATA("password"), 1, LDATA("salt"), SHEX("7314e7c04fb2e662c543674253f68bd0b73445d07f241bed872882da21662d58")); + + hmac_streebog512_set_key (&streebog512ctx, LDATA("password")); + PBKDF2_TEST (&streebog512ctx, hmac_streebog512_update, hmac_streebog512_digest, + STREEBOG512_DIGEST_SIZE, 1, LDATA("salt"), + SHEX("64770af7f748c3b1c9ac831dbcfd85c26111b30a8a657ddc3056b80ca73e040d2854fd36811f6d825cc4ab66ec0a68a490a9e5cf5156b3a2b7eecddbf9a16b47")); + PBKDF2_TEST (&streebog512ctx, hmac_streebog512_update, hmac_streebog512_digest, + STREEBOG512_DIGEST_SIZE, 4096, LDATA("salt"), + SHEX("e52deb9a2d2aaff4e2ac9d47a41f34c20376591c67807f0477e32549dc341bc7867c09841b6d58e29d0347c996301d55df0d34e47cf68f4e3c2cdaf1d9ab86c3")); + + hmac_streebog512_set_key (&streebog512ctx, LDATA("passwordPASSWORDpassword")); + PBKDF2_TEST (&streebog512ctx, hmac_streebog512_update, hmac_streebog512_digest, + STREEBOG512_DIGEST_SIZE, 4096, LDATA("saltSALTsaltSALTsaltSALTsaltSALTsalt"), + SHEX("b2d8f1245fc4d29274802057e4b54e0a0753aa22fc53760b301cf008679e58fe4bee9addcae99ba2b0b20f431a9c5e50f395" + "c89387d0945aedeca6eb4015dfc2bd2421ee9bb71183ba882ceebfef259f33f9e27dc6178cb89dc37428cf9cc52a2baa2d3a")); + + hmac_streebog512_set_key (&streebog512ctx, LDATA("pass\0word")); + PBKDF2_TEST (&streebog512ctx, hmac_streebog512_update, hmac_streebog512_digest, + STREEBOG512_DIGEST_SIZE, 4096, LDATA("sa\0lt"), + SHEX("50df062885b69801a3c10248eb0a27ab6e522ffeb20c991c660f001475d73a4e167f782c18e97e92976d9c1d970831ea78ccb879f67068cdac1910740844e830")); + + /* Generated */ + hmac_streebog256_set_key (&streebog256ctx, LDATA("password")); + PBKDF2_TEST (&streebog256ctx, hmac_streebog256_update, hmac_streebog256_digest, + STREEBOG256_DIGEST_SIZE, 1, LDATA("salt"), + SHEX("d789458d143b9abebc4ef63ca8e576c72b13c7d4289db23fc1e946f84cd605bc")); } diff --git a/testsuite/streebog-test.c b/testsuite/streebog-test.c new file mode 100644 index 000000000000..f3532e73a7ee --- /dev/null +++ b/testsuite/streebog-test.c @@ -0,0 +1,81 @@ +#include "testutils.h" +#include "streebog.h" + +/* Using test vectors from the standard itself */ + +void +test_main(void) +{ + test_hash(&nettle_streebog512, + SDATA("012345678901234567890123456789012345678901234567890123456789012"), + SHEX("1b54d01a4af5b9d5 cc3d86d68d285462" + "b19abc2475222f35 c085122be4ba1ffa" + "00ad30f8767b3a82 384c6574f024c311" + "e2a481332b08ef7f 41797891c1646f48")); + + test_hash(&nettle_streebog256, + SDATA("012345678901234567890123456789012345678901234567890123456789012"), + SHEX("9d151eefd8590b89 daa6ba6cb74af927" + "5dd051026bb149a4 52fd84e5e57b5500")); + + test_hash(&nettle_streebog512, + SHEX("d1e520e2e5f2f0e82c20d1f2f0e8e1ee" + "e6e820e2edf3f6e82c20e2e5fef2fa20" + "f120eceef0ff20f1f2f0e5ebe0ece820" + "ede020f5f0e0e1f0fbff20efebfaeafb" + "20c8e3eef0e5e2fb"), + SHEX("1e88e62226bfca6f 9994f1f2d51569e0" + "daf8475a3b0fe61a 5300eee46d961376" + "035fe83549ada2b8 620fcd7c496ce5b3" + "3f0cb9dddc2b6460 143b03dabac9fb28")); + + test_hash(&nettle_streebog256, + SHEX("d1e520e2e5f2f0e82c20d1f2f0e8e1ee" + "e6e820e2edf3f6e82c20e2e5fef2fa20" + "f120eceef0ff20f1f2f0e5ebe0ece820" + "ede020f5f0e0e1f0fbff20efebfaeafb" + "20c8e3eef0e5e2fb"), + SHEX("9dd2fe4e90409e5d a87f53976d7405b0" + "c0cac628fc669a74 1d50063c557e8f50")); + + test_hash(&nettle_streebog512, + SHEX("eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "16111111111111111111111111111111" + "11111111111111111111111111111111" + "11111111111111111111111111111111" + "11111111111111111111111111111116"), + SHEX("8b06f41e59907d9636e892caf5942fcd" + "fb71fa31169a5e70f0edb873664df41c" + "2cce6e06dc6755d15a61cdeb92bd607c" + "c4aaca6732bf3568a23a210dd520fd41")); + + test_hash(&nettle_streebog256, + SHEX("eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "eeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee" + "16111111111111111111111111111111" + "11111111111111111111111111111111" + "11111111111111111111111111111111" + "11111111111111111111111111111116"), + SHEX("81bb632fa31fcc38b4c379a662dbc58b" + "9bed83f50d3a1b2ce7271ab02d25babb")); + + test_hash(&nettle_streebog512, + SHEX("ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff" + "ffffffffffffffffffffffffffffffff"), + SHEX("90a161d12ad309498d3fe5d48202d8a4" + "e9c406d6a264aeab258ac5ecc37a7962" + "aaf9587a5abb09b6bb81ec4b3752a3ff" + "5a838ef175be5772056bc5fe54fcfc7e")); + +} -- 2.26.2

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nettle-benchmark hangs at startup w/ 100% cpu
by Daniel P. Berrangé 02 Jun '20

02 Jun '20

I was trying the nettle-benchmark program and found that it hangs at startup burning 100% CPU. Debugging shows this is when measuring benchmark overhead. With a quick printf of the "ncalls" variable in time_function(), I can see that it overflows: time_function ncalls=100 elapsed=0.000010 time_function ncalls=1000 elapsed=0.000003 time_function ncalls=10000 elapsed=0.000002 time_function ncalls=100000 elapsed=0.000002 time_function ncalls=1000000 elapsed=0.000002 time_function ncalls=10000000 elapsed=0.000002 time_function ncalls=100000000 elapsed=0.000002 time_function ncalls=1000000000 elapsed=0.000002 time_function ncalls=1410065408 elapsed=0.000002 time_function ncalls=1215752192 elapsed=0.000002 time_function ncalls=-727379968 elapsed=0.000002 time_function ncalls=1316134912 elapsed=0.000002 time_function ncalls=276447232 elapsed=0.000002 time_function ncalls=-1530494976 elapsed=0.000002 time_function ncalls=1874919424 elapsed=0.000002 time_function ncalls=1569325056 elapsed=0.000002 time_function ncalls=-1486618624 elapsed=0.000002 time_function ncalls=-1981284352 elapsed=0.000002 time_function ncalls=1661992960 elapsed=0.000002 time_function ncalls=-559939584 elapsed=0.000002 time_function ncalls=-1304428544 elapsed=0.000002 time_function ncalls=-159383552 elapsed=0.000002 time_function ncalls=-1593835520 elapsed=0.000002 time_function ncalls=1241513984 elapsed=0.000002 time_function ncalls=-469762048 elapsed=0.000002 time_function ncalls=-402653184 elapsed=0.000002 time_function ncalls=268435456 elapsed=0.000002 time_function ncalls=-1610612736 elapsed=0.000002 time_function ncalls=1073741824 elapsed=0.000002 time_function ncalls=-2147483648 elapsed=0.000002 time_function ncalls=0 elapsed=0.000002 time_function ncalls=0 elapsed=0.000002 time_function ncalls=0 elapsed=0.000002 The elapsed time is the same regardless of ncalls, so I'm thinking that the compiler as been clever and optimized bench_nothing() into literally nothing. If I modify it to static void bench_nothing(void *arg UNUSED) { static int i = 0; i++; return; } then things work, but of course we're not benchmarking "nothing" anymore. This is on Fedora 32 with gcc-10.1.1-1.fc32.x86_64 Regards, Daniel -- |: https://berrange.com -o- https://www.flickr.com/photos/dberrange :| |: https://libvirt.org -o- https://fstop138.berrange.com :| |: https://entangle-photo.org -o- https://www.instagram.com/dberrange :|

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nettle-bugs June 2020