FAQ Search Today's Posts Mark Forums Read
» Video Reviews

» Linux Archive

Linux-archive is a website aiming to archive linux email lists and to make them easily accessible for linux users/developers.


» Sponsor

» Partners

» Sponsor

Go Back   Linux Archive > Gentoo > Gentoo Development

 
 
LinkBack Thread Tools
 
Old 02-01-2010, 04:05 AM
"Robin H. Johnson"
 
Default GLEP59 - Manifest2 hashes

Patches for Portage attached.

--
Robin Hugh Johnson
Gentoo Linux: Developer, Trustee & Infrastructure Lead
E-Mail : robbat2@gentoo.org
GnuPG FP : 11AC BA4F 4778 E3F6 E4ED F38E B27B 944E 3488 4E85
diff -Nuarp trunk.orig/pym/portage/checksum.py trunk/pym/portage/checksum.py
--- trunk.orig/pym/portage/checksum.py 2010-02-01 04:59:27.000000000 +0000
+++ trunk/pym/portage/checksum.py 2010-02-01 04:57:25.000000000 +0000
@@ -21,7 +21,7 @@ except ImportError:
hashfunc_map = {}
hashorigin_map = {}

-def _generate_hash_function(hashtype, hashobject, origin="unknown"):
+def _generate_hash_function(hashtype, hashobject, origin="unknown", hashobjectargs=None):
def pyhash(filename):
"""
Run a checksum against a file.
@@ -35,7 +35,11 @@ def _generate_hash_function(hashtype, ha
blocksize = HASHING_BLOCKSIZE
data = f.read(blocksize)
size = 0
- checksum = hashobject()
+ if hashobjectargs is None:
+ checksum = hashobject()
+ else:
+ checksum = hashobject(hashobjectargs)
+
while data:
checksum.update(data)
size = size + len(data)
@@ -65,6 +69,10 @@ except ImportError:

sha1hash = _generate_hash_function("SHA1", _new_sha1, origin="internal")

+# Bundled WHIRLPOOL implementation
+from portage.whirlpool import new as _new_whirlpool
+whirlpoolhash = _generate_hash_function("WHIRLPOOL", _new_whirlpool, origin="bundled")
+
# Use pycrypto when available, prefer it over the internal fallbacks
try:
from Crypto.Hash import SHA256, RIPEMD
@@ -81,6 +89,7 @@ try:
md5hash = _generate_hash_function("MD5", hashlib.md5, origin="hashlib")
sha1hash = _generate_hash_function("SHA1", hashlib.sha1, origin="hashlib")
sha256hash = _generate_hash_function("SHA256", hashlib.sha256, origin="hashlib")
+ sha512hash = _generate_hash_function("SHA512", hashlib.sha512, origin="hashlib")
try:
hashlib.new('ripemd160')
except ValueError:
@@ -92,6 +101,17 @@ try:
except ImportError as e:
pass

+# Try to use mhash if available
+try:
+ import mhash
+ md5hash = _generate_hash_function("MD5", mhash.MHASH, origin="mhash", hashobjectargs=mhash.MHASH_MD5)
+ sha1hash = _generate_hash_function("SHA1", mhash.MHASH, origin="mhash", hashobjectargs=mhash.MHASH_SHA1)
+ sha256hash = _generate_hash_function("SHA256", mhash.MHASH, origin="mhash", hashobjectargs=mhash.MHASH_SHA256)
+ sha512hash = _generate_hash_function("SHA512", mhash.MHASH, origin="mhash", hashobjectargs=mhash.MHASH_SHA512)
+ rmd160hash = _generate_hash_function("RMD160", mhash.MHASH, origin="mhash", hashobjectargs=mhash.MHASH_RIPEMD160)
+ whirlpoolhash = _generate_hash_function("WHIRLPOOL", mhash.MHASH, origin="mhash", hashobjectargs=mhash.MHASH_WHIRLPOOL)
+except ImportError as e:
+ pass

# Use python-fchksum if available, prefer it over all other MD5 implementations
try:
diff -Nuarp --exclude const.py trunk.orig/pym/portage/whirlpool.py trunk/pym/portage/whirlpool.py
--- trunk.orig/pym/portage/whirlpool.py 1970-01-01 00:00:00.000000000 +0000
+++ trunk/pym/portage/whirlpool.py 2010-02-01 05:01:39.000000000 +0000
@@ -0,0 +1,788 @@
+## whirlpool.py - pure Python implementation of the Whirlpool algorithm.
+## Bjorn Edstrom <be@bjrn.se> 16 december 2007.
+##
+## Copyrights
+## ==========
+##
+## This code is based on the reference implementation by
+## Paulo S.L.M. Barreto and Vincent Rijmen. The reference implementation
+## is placed in the public domain but has the following headers:
+##
+## * THIS SOFTWARE IS PROVIDED BY THE AUTHORS 'AS IS' AND ANY EXPRESS
+## * OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED
+## * WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
+## * ARE DISCLAIMED. IN NO EVENT SHALL THE AUTHORS OR CONTRIBUTORS BE
+## * LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
+## * CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
+## * SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR
+## * BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY,
+## * WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE
+## * OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
+## * EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+## *
+## */
+## /* The code contained in this file (Whirlpool.c) is in the public domain. */
+##
+## This Python implementation is therefore also placed in the public domain.
+
+#block_size = 64
+digest_size = 64
+digestsize = 64
+
+class Whirlpool:
+ """Return a new Whirlpool object. An optional string argument
+ may be provided; if present, this string will be automatically
+ hashed."""
+ def __init__(self, arg=None):
+ self.ctx = WhirlpoolStruct()
+ if arg:
+ self.update(arg)
+ self.digest_status = 0
+
+ def update(self, arg):
+ """update(arg)"""
+ WhirlpoolAdd(arg, len(arg)*8, self.ctx)
+ self.digest_status = 0
+
+ def digest(self):
+ """digest()"""
+ if self.digest_status == 0:
+ self.dig = WhirlpoolFinalize(self.ctx)
+ self.digest_status = 1
+ return self.dig
+
+ def hexdigest(self):
+ """hexdigest()"""
+ dig = self.digest()
+ tempstr = '
+ for d in dig:
+ xxx = '%02x' % (ord(d))
+ tempstr = tempstr + xxx
+ return tempstr
+
+ def copy(self):
+ """copy()"""
+ import copy
+ return copy.deepcopy(self)
+
+
+def new(init=None):
+ """Return a new Whirlpool object. An optional string argument
+ may be provided; if present, this string will be automatically
+ hashed."""
+ return Whirlpool(init)
+
+#
+# Private.
+#
+
+R = 10
+
+C0 = [
+0x18186018c07830d8, 0x23238c2305af4626, 0xc6c63fc67ef991b8, 0xe8e887e8136fcdfb,
+0x878726874ca113cb, 0xb8b8dab8a9626d11, 0x0101040108050209, 0x4f4f214f426e9e0d,
+0x3636d836adee6c9b, 0xa6a6a2a6590451ff, 0xd2d26fd2debdb90c, 0xf5f5f3f5fb06f70e,
+0x7979f979ef80f296, 0x6f6fa16f5fcede30, 0x91917e91fcef3f6d, 0x52525552aa07a4f8,
+0x60609d6027fdc047, 0xbcbccabc89766535, 0x9b9b569baccd2b37, 0x8e8e028e048c018a,
+0xa3a3b6a371155bd2, 0x0c0c300c603c186c, 0x7b7bf17bff8af684, 0x3535d435b5e16a80,
+0x1d1d741de8693af5, 0xe0e0a7e05347ddb3, 0xd7d77bd7f6acb321, 0xc2c22fc25eed999c,
+0x2e2eb82e6d965c43, 0x4b4b314b627a9629, 0xfefedffea321e15d, 0x575741578216aed5,
+0x15155415a8412abd, 0x7777c1779fb6eee8, 0x3737dc37a5eb6e92, 0xe5e5b3e57b56d79e,
+0x9f9f469f8cd92313, 0xf0f0e7f0d317fd23, 0x4a4a354a6a7f9420, 0xdada4fda9e95a944,
+0x58587d58fa25b0a2, 0xc9c903c906ca8fcf, 0x2929a429558d527c, 0x0a0a280a5022145a,
+0xb1b1feb1e14f7f50, 0xa0a0baa0691a5dc9, 0x6b6bb16b7fdad614, 0x85852e855cab17d9,
+0xbdbdcebd8173673c, 0x5d5d695dd234ba8f, 0x1010401080502090, 0xf4f4f7f4f303f507,
+0xcbcb0bcb16c08bdd, 0x3e3ef83eedc67cd3, 0x0505140528110a2d, 0x676781671fe6ce78,
+0xe4e4b7e47353d597, 0x27279c2725bb4e02, 0x4141194132588273, 0x8b8b168b2c9d0ba7,
+0xa7a7a6a7510153f6, 0x7d7de97dcf94fab2, 0x95956e95dcfb3749, 0xd8d847d88e9fad56,
+0xfbfbcbfb8b30eb70, 0xeeee9fee2371c1cd, 0x7c7ced7cc791f8bb, 0x6666856617e3cc71,
+0xdddd53dda68ea77b, 0x17175c17b84b2eaf, 0x4747014702468e45, 0x9e9e429e84dc211a,
+0xcaca0fca1ec589d4, 0x2d2db42d75995a58, 0xbfbfc6bf9179632e, 0x07071c07381b0e3f,
+0xadad8ead012347ac, 0x5a5a755aea2fb4b0, 0x838336836cb51bef, 0x3333cc3385ff66b6,
+0x636391633ff2c65c, 0x02020802100a0412, 0xaaaa92aa39384993, 0x7171d971afa8e2de,
+0xc8c807c80ecf8dc6, 0x19196419c87d32d1, 0x494939497270923b, 0xd9d943d9869aaf5f,
+0xf2f2eff2c31df931, 0xe3e3abe34b48dba8, 0x5b5b715be22ab6b9, 0x88881a8834920dbc,
+0x9a9a529aa4c8293e, 0x262698262dbe4c0b, 0x3232c8328dfa64bf, 0xb0b0fab0e94a7d59,
+0xe9e983e91b6acff2, 0x0f0f3c0f78331e77, 0xd5d573d5e6a6b733, 0x80803a8074ba1df4,
+0xbebec2be997c6127, 0xcdcd13cd26de87eb, 0x3434d034bde46889, 0x48483d487a759032,
+0xffffdbffab24e354, 0x7a7af57af78ff48d, 0x90907a90f4ea3d64, 0x5f5f615fc23ebe9d,
+0x202080201da0403d, 0x6868bd6867d5d00f, 0x1a1a681ad07234ca, 0xaeae82ae192c41b7,
+0xb4b4eab4c95e757d, 0x54544d549a19a8ce, 0x93937693ece53b7f, 0x222288220daa442f,
+0x64648d6407e9c863, 0xf1f1e3f1db12ff2a, 0x7373d173bfa2e6cc, 0x12124812905a2482,
+0x40401d403a5d807a, 0x0808200840281048, 0xc3c32bc356e89b95, 0xecec97ec337bc5df,
+0xdbdb4bdb9690ab4d, 0xa1a1bea1611f5fc0, 0x8d8d0e8d1c830791, 0x3d3df43df5c97ac8,
+0x97976697ccf1335b, 0x0000000000000000, 0xcfcf1bcf36d483f9, 0x2b2bac2b4587566e,
+0x7676c57697b3ece1, 0x8282328264b019e6, 0xd6d67fd6fea9b128, 0x1b1b6c1bd87736c3,
+0xb5b5eeb5c15b7774, 0xafaf86af112943be, 0x6a6ab56a77dfd41d, 0x50505d50ba0da0ea,
+0x45450945124c8a57, 0xf3f3ebf3cb18fb38, 0x3030c0309df060ad, 0xefef9bef2b74c3c4,
+0x3f3ffc3fe5c37eda, 0x55554955921caac7, 0xa2a2b2a2791059db, 0xeaea8fea0365c9e9,
+0x656589650fecca6a, 0xbabad2bab9686903, 0x2f2fbc2f65935e4a, 0xc0c027c04ee79d8e,
+0xdede5fdebe81a160, 0x1c1c701ce06c38fc, 0xfdfdd3fdbb2ee746, 0x4d4d294d52649a1f,
+0x92927292e4e03976, 0x7575c9758fbceafa, 0x06061806301e0c36, 0x8a8a128a249809ae,
+0xb2b2f2b2f940794b, 0xe6e6bfe66359d185, 0x0e0e380e70361c7e, 0x1f1f7c1ff8633ee7,
+0x6262956237f7c455, 0xd4d477d4eea3b53a, 0xa8a89aa829324d81, 0x96966296c4f43152,
+0xf9f9c3f99b3aef62, 0xc5c533c566f697a3, 0x2525942535b14a10, 0x59597959f220b2ab,
+0x84842a8454ae15d0, 0x7272d572b7a7e4c5, 0x3939e439d5dd72ec, 0x4c4c2d4c5a619816,
+0x5e5e655eca3bbc94, 0x7878fd78e785f09f, 0x3838e038ddd870e5, 0x8c8c0a8c14860598,
+0xd1d163d1c6b2bf17, 0xa5a5aea5410b57e4, 0xe2e2afe2434dd9a1, 0x616199612ff8c24e,
+0xb3b3f6b3f1457b42, 0x2121842115a54234, 0x9c9c4a9c94d62508, 0x1e1e781ef0663cee,
+0x4343114322528661, 0xc7c73bc776fc93b1, 0xfcfcd7fcb32be54f, 0x0404100420140824,
+0x51515951b208a2e3, 0x99995e99bcc72f25, 0x6d6da96d4fc4da22, 0x0d0d340d68391a65,
+0xfafacffa8335e979, 0xdfdf5bdfb684a369, 0x7e7ee57ed79bfca9, 0x242490243db44819,
+0x3b3bec3bc5d776fe, 0xabab96ab313d4b9a, 0xcece1fce3ed181f0, 0x1111441188552299,
+0x8f8f068f0c890383, 0x4e4e254e4a6b9c04, 0xb7b7e6b7d1517366, 0xebeb8beb0b60cbe0,
+0x3c3cf03cfdcc78c1, 0x81813e817cbf1ffd, 0x94946a94d4fe3540, 0xf7f7fbf7eb0cf31c,
+0xb9b9deb9a1676f18, 0x13134c13985f268b, 0x2c2cb02c7d9c5851, 0xd3d36bd3d6b8bb05,
+0xe7e7bbe76b5cd38c, 0x6e6ea56e57cbdc39, 0xc4c437c46ef395aa, 0x03030c03180f061b,
+0x565645568a13acdc, 0x44440d441a49885e, 0x7f7fe17fdf9efea0, 0xa9a99ea921374f88,
+0x2a2aa82a4d825467, 0xbbbbd6bbb16d6b0a, 0xc1c123c146e29f87, 0x53535153a202a6f1,
+0xdcdc57dcae8ba572, 0x0b0b2c0b58271653, 0x9d9d4e9d9cd32701, 0x6c6cad6c47c1d82b,
+0x3131c43195f562a4, 0x7474cd7487b9e8f3, 0xf6f6fff6e309f115, 0x464605460a438c4c,
+0xacac8aac092645a5, 0x89891e893c970fb5, 0x14145014a04428b4, 0xe1e1a3e15b42dfba,
+0x16165816b04e2ca6, 0x3a3ae83acdd274f7, 0x6969b9696fd0d206, 0x09092409482d1241,
+0x7070dd70a7ade0d7, 0xb6b6e2b6d954716f, 0xd0d067d0ceb7bd1e, 0xeded93ed3b7ec7d6,
+0xcccc17cc2edb85e2, 0x424215422a578468, 0x98985a98b4c22d2c, 0xa4a4aaa4490e55ed,
+0x2828a0285d885075, 0x5c5c6d5cda31b886, 0xf8f8c7f8933fed6b, 0x8686228644a411c2,
+]
+C1 = [
+0xd818186018c07830, 0x2623238c2305af46, 0xb8c6c63fc67ef991, 0xfbe8e887e8136fcd,
+0xcb878726874ca113, 0x11b8b8dab8a9626d, 0x0901010401080502, 0x0d4f4f214f426e9e,
+0x9b3636d836adee6c, 0xffa6a6a2a6590451, 0x0cd2d26fd2debdb9, 0x0ef5f5f3f5fb06f7,
+0x967979f979ef80f2, 0x306f6fa16f5fcede, 0x6d91917e91fcef3f, 0xf852525552aa07a4,
+0x4760609d6027fdc0, 0x35bcbccabc897665, 0x379b9b569baccd2b, 0x8a8e8e028e048c01,
+0xd2a3a3b6a371155b, 0x6c0c0c300c603c18, 0x847b7bf17bff8af6, 0x803535d435b5e16a,
+0xf51d1d741de8693a, 0xb3e0e0a7e05347dd, 0x21d7d77bd7f6acb3, 0x9cc2c22fc25eed99,
+0x432e2eb82e6d965c, 0x294b4b314b627a96, 0x5dfefedffea321e1, 0xd5575741578216ae,
+0xbd15155415a8412a, 0xe87777c1779fb6ee, 0x923737dc37a5eb6e, 0x9ee5e5b3e57b56d7,
+0x139f9f469f8cd923, 0x23f0f0e7f0d317fd, 0x204a4a354a6a7f94, 0x44dada4fda9e95a9,
+0xa258587d58fa25b0, 0xcfc9c903c906ca8f, 0x7c2929a429558d52, 0x5a0a0a280a502214,
+0x50b1b1feb1e14f7f, 0xc9a0a0baa0691a5d, 0x146b6bb16b7fdad6, 0xd985852e855cab17,
+0x3cbdbdcebd817367, 0x8f5d5d695dd234ba, 0x9010104010805020, 0x07f4f4f7f4f303f5,
+0xddcbcb0bcb16c08b, 0xd33e3ef83eedc67c, 0x2d0505140528110a, 0x78676781671fe6ce,
+0x97e4e4b7e47353d5, 0x0227279c2725bb4e, 0x7341411941325882, 0xa78b8b168b2c9d0b,
+0xf6a7a7a6a7510153, 0xb27d7de97dcf94fa, 0x4995956e95dcfb37, 0x56d8d847d88e9fad,
+0x70fbfbcbfb8b30eb, 0xcdeeee9fee2371c1, 0xbb7c7ced7cc791f8, 0x716666856617e3cc,
+0x7bdddd53dda68ea7, 0xaf17175c17b84b2e, 0x454747014702468e, 0x1a9e9e429e84dc21,
+0xd4caca0fca1ec589, 0x582d2db42d75995a, 0x2ebfbfc6bf917963, 0x3f07071c07381b0e,
+0xacadad8ead012347, 0xb05a5a755aea2fb4, 0xef838336836cb51b, 0xb63333cc3385ff66,
+0x5c636391633ff2c6, 0x1202020802100a04, 0x93aaaa92aa393849, 0xde7171d971afa8e2,
+0xc6c8c807c80ecf8d, 0xd119196419c87d32, 0x3b49493949727092, 0x5fd9d943d9869aaf,
+0x31f2f2eff2c31df9, 0xa8e3e3abe34b48db, 0xb95b5b715be22ab6, 0xbc88881a8834920d,
+0x3e9a9a529aa4c829, 0x0b262698262dbe4c, 0xbf3232c8328dfa64, 0x59b0b0fab0e94a7d,
+0xf2e9e983e91b6acf, 0x770f0f3c0f78331e, 0x33d5d573d5e6a6b7, 0xf480803a8074ba1d,
+0x27bebec2be997c61, 0xebcdcd13cd26de87, 0x893434d034bde468, 0x3248483d487a7590,
+0x54ffffdbffab24e3, 0x8d7a7af57af78ff4, 0x6490907a90f4ea3d, 0x9d5f5f615fc23ebe,
+0x3d202080201da040, 0x0f6868bd6867d5d0, 0xca1a1a681ad07234, 0xb7aeae82ae192c41,
+0x7db4b4eab4c95e75, 0xce54544d549a19a8, 0x7f93937693ece53b, 0x2f222288220daa44,
+0x6364648d6407e9c8, 0x2af1f1e3f1db12ff, 0xcc7373d173bfa2e6, 0x8212124812905a24,
+0x7a40401d403a5d80, 0x4808082008402810, 0x95c3c32bc356e89b, 0xdfecec97ec337bc5,
+0x4ddbdb4bdb9690ab, 0xc0a1a1bea1611f5f, 0x918d8d0e8d1c8307, 0xc83d3df43df5c97a,
+0x5b97976697ccf133, 0x0000000000000000, 0xf9cfcf1bcf36d483, 0x6e2b2bac2b458756,
+0xe17676c57697b3ec, 0xe68282328264b019, 0x28d6d67fd6fea9b1, 0xc31b1b6c1bd87736,
+0x74b5b5eeb5c15b77, 0xbeafaf86af112943, 0x1d6a6ab56a77dfd4, 0xea50505d50ba0da0,
+0x5745450945124c8a, 0x38f3f3ebf3cb18fb, 0xad3030c0309df060, 0xc4efef9bef2b74c3,
+0xda3f3ffc3fe5c37e, 0xc755554955921caa, 0xdba2a2b2a2791059, 0xe9eaea8fea0365c9,
+0x6a656589650fecca, 0x03babad2bab96869, 0x4a2f2fbc2f65935e, 0x8ec0c027c04ee79d,
+0x60dede5fdebe81a1, 0xfc1c1c701ce06c38, 0x46fdfdd3fdbb2ee7, 0x1f4d4d294d52649a,
+0x7692927292e4e039, 0xfa7575c9758fbcea, 0x3606061806301e0c, 0xae8a8a128a249809,
+0x4bb2b2f2b2f94079, 0x85e6e6bfe66359d1, 0x7e0e0e380e70361c, 0xe71f1f7c1ff8633e,
+0x556262956237f7c4, 0x3ad4d477d4eea3b5, 0x81a8a89aa829324d, 0x5296966296c4f431,
+0x62f9f9c3f99b3aef, 0xa3c5c533c566f697, 0x102525942535b14a, 0xab59597959f220b2,
+0xd084842a8454ae15, 0xc57272d572b7a7e4, 0xec3939e439d5dd72, 0x164c4c2d4c5a6198,
+0x945e5e655eca3bbc, 0x9f7878fd78e785f0, 0xe53838e038ddd870, 0x988c8c0a8c148605,
+0x17d1d163d1c6b2bf, 0xe4a5a5aea5410b57, 0xa1e2e2afe2434dd9, 0x4e616199612ff8c2,
+0x42b3b3f6b3f1457b, 0x342121842115a542, 0x089c9c4a9c94d625, 0xee1e1e781ef0663c,
+0x6143431143225286, 0xb1c7c73bc776fc93, 0x4ffcfcd7fcb32be5, 0x2404041004201408,
+0xe351515951b208a2, 0x2599995e99bcc72f, 0x226d6da96d4fc4da, 0x650d0d340d68391a,
+0x79fafacffa8335e9, 0x69dfdf5bdfb684a3, 0xa97e7ee57ed79bfc, 0x19242490243db448,
+0xfe3b3bec3bc5d776, 0x9aabab96ab313d4b, 0xf0cece1fce3ed181, 0x9911114411885522,
+0x838f8f068f0c8903, 0x044e4e254e4a6b9c, 0x66b7b7e6b7d15173, 0xe0ebeb8beb0b60cb,
+0xc13c3cf03cfdcc78, 0xfd81813e817cbf1f, 0x4094946a94d4fe35, 0x1cf7f7fbf7eb0cf3,
+0x18b9b9deb9a1676f, 0x8b13134c13985f26, 0x512c2cb02c7d9c58, 0x05d3d36bd3d6b8bb,
+0x8ce7e7bbe76b5cd3, 0x396e6ea56e57cbdc, 0xaac4c437c46ef395, 0x1b03030c03180f06,
+0xdc565645568a13ac, 0x5e44440d441a4988, 0xa07f7fe17fdf9efe, 0x88a9a99ea921374f,
+0x672a2aa82a4d8254, 0x0abbbbd6bbb16d6b, 0x87c1c123c146e29f, 0xf153535153a202a6,
+0x72dcdc57dcae8ba5, 0x530b0b2c0b582716, 0x019d9d4e9d9cd327, 0x2b6c6cad6c47c1d8,
+0xa43131c43195f562, 0xf37474cd7487b9e8, 0x15f6f6fff6e309f1, 0x4c464605460a438c,
+0xa5acac8aac092645, 0xb589891e893c970f, 0xb414145014a04428, 0xbae1e1a3e15b42df,
+0xa616165816b04e2c, 0xf73a3ae83acdd274, 0x066969b9696fd0d2, 0x4109092409482d12,
+0xd77070dd70a7ade0, 0x6fb6b6e2b6d95471, 0x1ed0d067d0ceb7bd, 0xd6eded93ed3b7ec7,
+0xe2cccc17cc2edb85, 0x68424215422a5784, 0x2c98985a98b4c22d, 0xeda4a4aaa4490e55,
+0x752828a0285d8850, 0x865c5c6d5cda31b8, 0x6bf8f8c7f8933fed, 0xc28686228644a411,
+]
+C2 = [
+0x30d818186018c078, 0x462623238c2305af, 0x91b8c6c63fc67ef9, 0xcdfbe8e887e8136f,
+0x13cb878726874ca1, 0x6d11b8b8dab8a962, 0x0209010104010805, 0x9e0d4f4f214f426e,
+0x6c9b3636d836adee, 0x51ffa6a6a2a65904, 0xb90cd2d26fd2debd, 0xf70ef5f5f3f5fb06,
+0xf2967979f979ef80, 0xde306f6fa16f5fce, 0x3f6d91917e91fcef, 0xa4f852525552aa07,
+0xc04760609d6027fd, 0x6535bcbccabc8976, 0x2b379b9b569baccd, 0x018a8e8e028e048c,
+0x5bd2a3a3b6a37115, 0x186c0c0c300c603c, 0xf6847b7bf17bff8a, 0x6a803535d435b5e1,
+0x3af51d1d741de869, 0xddb3e0e0a7e05347, 0xb321d7d77bd7f6ac, 0x999cc2c22fc25eed,
+0x5c432e2eb82e6d96, 0x96294b4b314b627a, 0xe15dfefedffea321, 0xaed5575741578216,
+0x2abd15155415a841, 0xeee87777c1779fb6, 0x6e923737dc37a5eb, 0xd79ee5e5b3e57b56,
+0x23139f9f469f8cd9, 0xfd23f0f0e7f0d317, 0x94204a4a354a6a7f, 0xa944dada4fda9e95,
+0xb0a258587d58fa25, 0x8fcfc9c903c906ca, 0x527c2929a429558d, 0x145a0a0a280a5022,
+0x7f50b1b1feb1e14f, 0x5dc9a0a0baa0691a, 0xd6146b6bb16b7fda, 0x17d985852e855cab,
+0x673cbdbdcebd8173, 0xba8f5d5d695dd234, 0x2090101040108050, 0xf507f4f4f7f4f303,
+0x8bddcbcb0bcb16c0, 0x7cd33e3ef83eedc6, 0x0a2d050514052811, 0xce78676781671fe6,
+0xd597e4e4b7e47353, 0x4e0227279c2725bb, 0x8273414119413258, 0x0ba78b8b168b2c9d,
+0x53f6a7a7a6a75101, 0xfab27d7de97dcf94, 0x374995956e95dcfb, 0xad56d8d847d88e9f,
+0xeb70fbfbcbfb8b30, 0xc1cdeeee9fee2371, 0xf8bb7c7ced7cc791, 0xcc716666856617e3,
+0xa77bdddd53dda68e, 0x2eaf17175c17b84b, 0x8e45474701470246, 0x211a9e9e429e84dc,
+0x89d4caca0fca1ec5, 0x5a582d2db42d7599, 0x632ebfbfc6bf9179, 0x0e3f07071c07381b,
+0x47acadad8ead0123, 0xb4b05a5a755aea2f, 0x1bef838336836cb5, 0x66b63333cc3385ff,
+0xc65c636391633ff2, 0x041202020802100a, 0x4993aaaa92aa3938, 0xe2de7171d971afa8,
+0x8dc6c8c807c80ecf, 0x32d119196419c87d, 0x923b494939497270, 0xaf5fd9d943d9869a,
+0xf931f2f2eff2c31d, 0xdba8e3e3abe34b48, 0xb6b95b5b715be22a, 0x0dbc88881a883492,
+0x293e9a9a529aa4c8, 0x4c0b262698262dbe, 0x64bf3232c8328dfa, 0x7d59b0b0fab0e94a,
+0xcff2e9e983e91b6a, 0x1e770f0f3c0f7833, 0xb733d5d573d5e6a6, 0x1df480803a8074ba,
+0x6127bebec2be997c, 0x87ebcdcd13cd26de, 0x68893434d034bde4, 0x903248483d487a75,
+0xe354ffffdbffab24, 0xf48d7a7af57af78f, 0x3d6490907a90f4ea, 0xbe9d5f5f615fc23e,
+0x403d202080201da0, 0xd00f6868bd6867d5, 0x34ca1a1a681ad072, 0x41b7aeae82ae192c,
+0x757db4b4eab4c95e, 0xa8ce54544d549a19, 0x3b7f93937693ece5, 0x442f222288220daa,
+0xc86364648d6407e9, 0xff2af1f1e3f1db12, 0xe6cc7373d173bfa2, 0x248212124812905a,
+0x807a40401d403a5d, 0x1048080820084028, 0x9b95c3c32bc356e8, 0xc5dfecec97ec337b,
+0xab4ddbdb4bdb9690, 0x5fc0a1a1bea1611f, 0x07918d8d0e8d1c83, 0x7ac83d3df43df5c9,
+0x335b97976697ccf1, 0x0000000000000000, 0x83f9cfcf1bcf36d4, 0x566e2b2bac2b4587,
+0xece17676c57697b3, 0x19e68282328264b0, 0xb128d6d67fd6fea9, 0x36c31b1b6c1bd877,
+0x7774b5b5eeb5c15b, 0x43beafaf86af1129, 0xd41d6a6ab56a77df, 0xa0ea50505d50ba0d,
+0x8a5745450945124c, 0xfb38f3f3ebf3cb18, 0x60ad3030c0309df0, 0xc3c4efef9bef2b74,
+0x7eda3f3ffc3fe5c3, 0xaac755554955921c, 0x59dba2a2b2a27910, 0xc9e9eaea8fea0365,
+0xca6a656589650fec, 0x6903babad2bab968, 0x5e4a2f2fbc2f6593, 0x9d8ec0c027c04ee7,
+0xa160dede5fdebe81, 0x38fc1c1c701ce06c, 0xe746fdfdd3fdbb2e, 0x9a1f4d4d294d5264,
+0x397692927292e4e0, 0xeafa7575c9758fbc, 0x0c3606061806301e, 0x09ae8a8a128a2498,
+0x794bb2b2f2b2f940, 0xd185e6e6bfe66359, 0x1c7e0e0e380e7036, 0x3ee71f1f7c1ff863,
+0xc4556262956237f7, 0xb53ad4d477d4eea3, 0x4d81a8a89aa82932, 0x315296966296c4f4,
+0xef62f9f9c3f99b3a, 0x97a3c5c533c566f6, 0x4a102525942535b1, 0xb2ab59597959f220,
+0x15d084842a8454ae, 0xe4c57272d572b7a7, 0x72ec3939e439d5dd, 0x98164c4c2d4c5a61,
+0xbc945e5e655eca3b, 0xf09f7878fd78e785, 0x70e53838e038ddd8, 0x05988c8c0a8c1486,
+0xbf17d1d163d1c6b2, 0x57e4a5a5aea5410b, 0xd9a1e2e2afe2434d, 0xc24e616199612ff8,
+0x7b42b3b3f6b3f145, 0x42342121842115a5, 0x25089c9c4a9c94d6, 0x3cee1e1e781ef066,
+0x8661434311432252, 0x93b1c7c73bc776fc, 0xe54ffcfcd7fcb32b, 0x0824040410042014,
+0xa2e351515951b208, 0x2f2599995e99bcc7, 0xda226d6da96d4fc4, 0x1a650d0d340d6839,
+0xe979fafacffa8335, 0xa369dfdf5bdfb684, 0xfca97e7ee57ed79b, 0x4819242490243db4,
+0x76fe3b3bec3bc5d7, 0x4b9aabab96ab313d, 0x81f0cece1fce3ed1, 0x2299111144118855,
+0x03838f8f068f0c89, 0x9c044e4e254e4a6b, 0x7366b7b7e6b7d151, 0xcbe0ebeb8beb0b60,
+0x78c13c3cf03cfdcc, 0x1ffd81813e817cbf, 0x354094946a94d4fe, 0xf31cf7f7fbf7eb0c,
+0x6f18b9b9deb9a167, 0x268b13134c13985f, 0x58512c2cb02c7d9c, 0xbb05d3d36bd3d6b8,
+0xd38ce7e7bbe76b5c, 0xdc396e6ea56e57cb, 0x95aac4c437c46ef3, 0x061b03030c03180f,
+0xacdc565645568a13, 0x885e44440d441a49, 0xfea07f7fe17fdf9e, 0x4f88a9a99ea92137,
+0x54672a2aa82a4d82, 0x6b0abbbbd6bbb16d, 0x9f87c1c123c146e2, 0xa6f153535153a202,
+0xa572dcdc57dcae8b, 0x16530b0b2c0b5827, 0x27019d9d4e9d9cd3, 0xd82b6c6cad6c47c1,
+0x62a43131c43195f5, 0xe8f37474cd7487b9, 0xf115f6f6fff6e309, 0x8c4c464605460a43,
+0x45a5acac8aac0926, 0x0fb589891e893c97, 0x28b414145014a044, 0xdfbae1e1a3e15b42,
+0x2ca616165816b04e, 0x74f73a3ae83acdd2, 0xd2066969b9696fd0, 0x124109092409482d,
+0xe0d77070dd70a7ad, 0x716fb6b6e2b6d954, 0xbd1ed0d067d0ceb7, 0xc7d6eded93ed3b7e,
+0x85e2cccc17cc2edb, 0x8468424215422a57, 0x2d2c98985a98b4c2, 0x55eda4a4aaa4490e,
+0x50752828a0285d88, 0xb8865c5c6d5cda31, 0xed6bf8f8c7f8933f, 0x11c28686228644a4,
+]
+C3 = [
+0x7830d818186018c0, 0xaf462623238c2305, 0xf991b8c6c63fc67e, 0x6fcdfbe8e887e813,
+0xa113cb878726874c, 0x626d11b8b8dab8a9, 0x0502090101040108, 0x6e9e0d4f4f214f42,
+0xee6c9b3636d836ad, 0x0451ffa6a6a2a659, 0xbdb90cd2d26fd2de, 0x06f70ef5f5f3f5fb,
+0x80f2967979f979ef, 0xcede306f6fa16f5f, 0xef3f6d91917e91fc, 0x07a4f852525552aa,
+0xfdc04760609d6027, 0x766535bcbccabc89, 0xcd2b379b9b569bac, 0x8c018a8e8e028e04,
+0x155bd2a3a3b6a371, 0x3c186c0c0c300c60, 0x8af6847b7bf17bff, 0xe16a803535d435b5,
+0x693af51d1d741de8, 0x47ddb3e0e0a7e053, 0xacb321d7d77bd7f6, 0xed999cc2c22fc25e,
+0x965c432e2eb82e6d, 0x7a96294b4b314b62, 0x21e15dfefedffea3, 0x16aed55757415782,
+0x412abd15155415a8, 0xb6eee87777c1779f, 0xeb6e923737dc37a5, 0x56d79ee5e5b3e57b,
+0xd923139f9f469f8c, 0x17fd23f0f0e7f0d3, 0x7f94204a4a354a6a, 0x95a944dada4fda9e,
+0x25b0a258587d58fa, 0xca8fcfc9c903c906, 0x8d527c2929a42955, 0x22145a0a0a280a50,
+0x4f7f50b1b1feb1e1, 0x1a5dc9a0a0baa069, 0xdad6146b6bb16b7f, 0xab17d985852e855c,
+0x73673cbdbdcebd81, 0x34ba8f5d5d695dd2, 0x5020901010401080, 0x03f507f4f4f7f4f3,
+0xc08bddcbcb0bcb16, 0xc67cd33e3ef83eed, 0x110a2d0505140528, 0xe6ce78676781671f,
+0x53d597e4e4b7e473, 0xbb4e0227279c2725, 0x5882734141194132, 0x9d0ba78b8b168b2c,
+0x0153f6a7a7a6a751, 0x94fab27d7de97dcf, 0xfb374995956e95dc, 0x9fad56d8d847d88e,
+0x30eb70fbfbcbfb8b, 0x71c1cdeeee9fee23, 0x91f8bb7c7ced7cc7, 0xe3cc716666856617,
+0x8ea77bdddd53dda6, 0x4b2eaf17175c17b8, 0x468e454747014702, 0xdc211a9e9e429e84,
+0xc589d4caca0fca1e, 0x995a582d2db42d75, 0x79632ebfbfc6bf91, 0x1b0e3f07071c0738,
+0x2347acadad8ead01, 0x2fb4b05a5a755aea, 0xb51bef838336836c, 0xff66b63333cc3385,
+0xf2c65c636391633f, 0x0a04120202080210, 0x384993aaaa92aa39, 0xa8e2de7171d971af,
+0xcf8dc6c8c807c80e, 0x7d32d119196419c8, 0x70923b4949394972, 0x9aaf5fd9d943d986,
+0x1df931f2f2eff2c3, 0x48dba8e3e3abe34b, 0x2ab6b95b5b715be2, 0x920dbc88881a8834,
+0xc8293e9a9a529aa4, 0xbe4c0b262698262d, 0xfa64bf3232c8328d, 0x4a7d59b0b0fab0e9,
+0x6acff2e9e983e91b, 0x331e770f0f3c0f78, 0xa6b733d5d573d5e6, 0xba1df480803a8074,
+0x7c6127bebec2be99, 0xde87ebcdcd13cd26, 0xe468893434d034bd, 0x75903248483d487a,
+0x24e354ffffdbffab, 0x8ff48d7a7af57af7, 0xea3d6490907a90f4, 0x3ebe9d5f5f615fc2,
+0xa0403d202080201d, 0xd5d00f6868bd6867, 0x7234ca1a1a681ad0, 0x2c41b7aeae82ae19,
+0x5e757db4b4eab4c9, 0x19a8ce54544d549a, 0xe53b7f93937693ec, 0xaa442f222288220d,
+0xe9c86364648d6407, 0x12ff2af1f1e3f1db, 0xa2e6cc7373d173bf, 0x5a24821212481290,
+0x5d807a40401d403a, 0x2810480808200840, 0xe89b95c3c32bc356, 0x7bc5dfecec97ec33,
+0x90ab4ddbdb4bdb96, 0x1f5fc0a1a1bea161, 0x8307918d8d0e8d1c, 0xc97ac83d3df43df5,
+0xf1335b97976697cc, 0x0000000000000000, 0xd483f9cfcf1bcf36, 0x87566e2b2bac2b45,
+0xb3ece17676c57697, 0xb019e68282328264, 0xa9b128d6d67fd6fe, 0x7736c31b1b6c1bd8,
+0x5b7774b5b5eeb5c1, 0x2943beafaf86af11, 0xdfd41d6a6ab56a77, 0x0da0ea50505d50ba,
+0x4c8a574545094512, 0x18fb38f3f3ebf3cb, 0xf060ad3030c0309d, 0x74c3c4efef9bef2b,
+0xc37eda3f3ffc3fe5, 0x1caac75555495592, 0x1059dba2a2b2a279, 0x65c9e9eaea8fea03,
+0xecca6a656589650f, 0x686903babad2bab9, 0x935e4a2f2fbc2f65, 0xe79d8ec0c027c04e,
+0x81a160dede5fdebe, 0x6c38fc1c1c701ce0, 0x2ee746fdfdd3fdbb, 0x649a1f4d4d294d52,
+0xe0397692927292e4, 0xbceafa7575c9758f, 0x1e0c360606180630, 0x9809ae8a8a128a24,
+0x40794bb2b2f2b2f9, 0x59d185e6e6bfe663, 0x361c7e0e0e380e70, 0x633ee71f1f7c1ff8,
+0xf7c4556262956237, 0xa3b53ad4d477d4ee, 0x324d81a8a89aa829, 0xf4315296966296c4,
+0x3aef62f9f9c3f99b, 0xf697a3c5c533c566, 0xb14a102525942535, 0x20b2ab59597959f2,
+0xae15d084842a8454, 0xa7e4c57272d572b7, 0xdd72ec3939e439d5, 0x6198164c4c2d4c5a,
+0x3bbc945e5e655eca, 0x85f09f7878fd78e7, 0xd870e53838e038dd, 0x8605988c8c0a8c14,
+0xb2bf17d1d163d1c6, 0x0b57e4a5a5aea541, 0x4dd9a1e2e2afe243, 0xf8c24e616199612f,
+0x457b42b3b3f6b3f1, 0xa542342121842115, 0xd625089c9c4a9c94, 0x663cee1e1e781ef0,
+0x5286614343114322, 0xfc93b1c7c73bc776, 0x2be54ffcfcd7fcb3, 0x1408240404100420,
+0x08a2e351515951b2, 0xc72f2599995e99bc, 0xc4da226d6da96d4f, 0x391a650d0d340d68,
+0x35e979fafacffa83, 0x84a369dfdf5bdfb6, 0x9bfca97e7ee57ed7, 0xb44819242490243d,
+0xd776fe3b3bec3bc5, 0x3d4b9aabab96ab31, 0xd181f0cece1fce3e, 0x5522991111441188,
+0x8903838f8f068f0c, 0x6b9c044e4e254e4a, 0x517366b7b7e6b7d1, 0x60cbe0ebeb8beb0b,
+0xcc78c13c3cf03cfd, 0xbf1ffd81813e817c, 0xfe354094946a94d4, 0x0cf31cf7f7fbf7eb,
+0x676f18b9b9deb9a1, 0x5f268b13134c1398, 0x9c58512c2cb02c7d, 0xb8bb05d3d36bd3d6,
+0x5cd38ce7e7bbe76b, 0xcbdc396e6ea56e57, 0xf395aac4c437c46e, 0x0f061b03030c0318,
+0x13acdc565645568a, 0x49885e44440d441a, 0x9efea07f7fe17fdf, 0x374f88a9a99ea921,
+0x8254672a2aa82a4d, 0x6d6b0abbbbd6bbb1, 0xe29f87c1c123c146, 0x02a6f153535153a2,
+0x8ba572dcdc57dcae, 0x2716530b0b2c0b58, 0xd327019d9d4e9d9c, 0xc1d82b6c6cad6c47,
+0xf562a43131c43195, 0xb9e8f37474cd7487, 0x09f115f6f6fff6e3, 0x438c4c464605460a,
+0x2645a5acac8aac09, 0x970fb589891e893c, 0x4428b414145014a0, 0x42dfbae1e1a3e15b,
+0x4e2ca616165816b0, 0xd274f73a3ae83acd, 0xd0d2066969b9696f, 0x2d12410909240948,
+0xade0d77070dd70a7, 0x54716fb6b6e2b6d9, 0xb7bd1ed0d067d0ce, 0x7ec7d6eded93ed3b,
+0xdb85e2cccc17cc2e, 0x578468424215422a, 0xc22d2c98985a98b4, 0x0e55eda4a4aaa449,
+0x8850752828a0285d, 0x31b8865c5c6d5cda, 0x3fed6bf8f8c7f893, 0xa411c28686228644,
+]
+C4 = [
+0xc07830d818186018, 0x05af462623238c23, 0x7ef991b8c6c63fc6, 0x136fcdfbe8e887e8,
+0x4ca113cb87872687, 0xa9626d11b8b8dab8, 0x0805020901010401, 0x426e9e0d4f4f214f,
+0xadee6c9b3636d836, 0x590451ffa6a6a2a6, 0xdebdb90cd2d26fd2, 0xfb06f70ef5f5f3f5,
+0xef80f2967979f979, 0x5fcede306f6fa16f, 0xfcef3f6d91917e91, 0xaa07a4f852525552,
+0x27fdc04760609d60, 0x89766535bcbccabc, 0xaccd2b379b9b569b, 0x048c018a8e8e028e,
+0x71155bd2a3a3b6a3, 0x603c186c0c0c300c, 0xff8af6847b7bf17b, 0xb5e16a803535d435,
+0xe8693af51d1d741d, 0x5347ddb3e0e0a7e0, 0xf6acb321d7d77bd7, 0x5eed999cc2c22fc2,
+0x6d965c432e2eb82e, 0x627a96294b4b314b, 0xa321e15dfefedffe, 0x8216aed557574157,
+0xa8412abd15155415, 0x9fb6eee87777c177, 0xa5eb6e923737dc37, 0x7b56d79ee5e5b3e5,
+0x8cd923139f9f469f, 0xd317fd23f0f0e7f0, 0x6a7f94204a4a354a, 0x9e95a944dada4fda,
+0xfa25b0a258587d58, 0x06ca8fcfc9c903c9, 0x558d527c2929a429, 0x5022145a0a0a280a,
+0xe14f7f50b1b1feb1, 0x691a5dc9a0a0baa0, 0x7fdad6146b6bb16b, 0x5cab17d985852e85,
+0x8173673cbdbdcebd, 0xd234ba8f5d5d695d, 0x8050209010104010, 0xf303f507f4f4f7f4,
+0x16c08bddcbcb0bcb, 0xedc67cd33e3ef83e, 0x28110a2d05051405, 0x1fe6ce7867678167,
+0x7353d597e4e4b7e4, 0x25bb4e0227279c27, 0x3258827341411941, 0x2c9d0ba78b8b168b,
+0x510153f6a7a7a6a7, 0xcf94fab27d7de97d, 0xdcfb374995956e95, 0x8e9fad56d8d847d8,
+0x8b30eb70fbfbcbfb, 0x2371c1cdeeee9fee, 0xc791f8bb7c7ced7c, 0x17e3cc7166668566,
+0xa68ea77bdddd53dd, 0xb84b2eaf17175c17, 0x02468e4547470147, 0x84dc211a9e9e429e,
+0x1ec589d4caca0fca, 0x75995a582d2db42d, 0x9179632ebfbfc6bf, 0x381b0e3f07071c07,
+0x012347acadad8ead, 0xea2fb4b05a5a755a, 0x6cb51bef83833683, 0x85ff66b63333cc33,
+0x3ff2c65c63639163, 0x100a041202020802, 0x39384993aaaa92aa, 0xafa8e2de7171d971,
+0x0ecf8dc6c8c807c8, 0xc87d32d119196419, 0x7270923b49493949, 0x869aaf5fd9d943d9,
+0xc31df931f2f2eff2, 0x4b48dba8e3e3abe3, 0xe22ab6b95b5b715b, 0x34920dbc88881a88,
+0xa4c8293e9a9a529a, 0x2dbe4c0b26269826, 0x8dfa64bf3232c832, 0xe94a7d59b0b0fab0,
+0x1b6acff2e9e983e9, 0x78331e770f0f3c0f, 0xe6a6b733d5d573d5, 0x74ba1df480803a80,
+0x997c6127bebec2be, 0x26de87ebcdcd13cd, 0xbde468893434d034, 0x7a75903248483d48,
+0xab24e354ffffdbff, 0xf78ff48d7a7af57a, 0xf4ea3d6490907a90, 0xc23ebe9d5f5f615f,
+0x1da0403d20208020, 0x67d5d00f6868bd68, 0xd07234ca1a1a681a, 0x192c41b7aeae82ae,
+0xc95e757db4b4eab4, 0x9a19a8ce54544d54, 0xece53b7f93937693, 0x0daa442f22228822,
+0x07e9c86364648d64, 0xdb12ff2af1f1e3f1, 0xbfa2e6cc7373d173, 0x905a248212124812,
+0x3a5d807a40401d40, 0x4028104808082008, 0x56e89b95c3c32bc3, 0x337bc5dfecec97ec,
+0x9690ab4ddbdb4bdb, 0x611f5fc0a1a1bea1, 0x1c8307918d8d0e8d, 0xf5c97ac83d3df43d,
+0xccf1335b97976697, 0x0000000000000000, 0x36d483f9cfcf1bcf, 0x4587566e2b2bac2b,
+0x97b3ece17676c576, 0x64b019e682823282, 0xfea9b128d6d67fd6, 0xd87736c31b1b6c1b,
+0xc15b7774b5b5eeb5, 0x112943beafaf86af, 0x77dfd41d6a6ab56a, 0xba0da0ea50505d50,
+0x124c8a5745450945, 0xcb18fb38f3f3ebf3, 0x9df060ad3030c030, 0x2b74c3c4efef9bef,
+0xe5c37eda3f3ffc3f, 0x921caac755554955, 0x791059dba2a2b2a2, 0x0365c9e9eaea8fea,
+0x0fecca6a65658965, 0xb9686903babad2ba, 0x65935e4a2f2fbc2f, 0x4ee79d8ec0c027c0,
+0xbe81a160dede5fde, 0xe06c38fc1c1c701c, 0xbb2ee746fdfdd3fd, 0x52649a1f4d4d294d,
+0xe4e0397692927292, 0x8fbceafa7575c975, 0x301e0c3606061806, 0x249809ae8a8a128a,
+0xf940794bb2b2f2b2, 0x6359d185e6e6bfe6, 0x70361c7e0e0e380e, 0xf8633ee71f1f7c1f,
+0x37f7c45562629562, 0xeea3b53ad4d477d4, 0x29324d81a8a89aa8, 0xc4f4315296966296,
+0x9b3aef62f9f9c3f9, 0x66f697a3c5c533c5, 0x35b14a1025259425, 0xf220b2ab59597959,
+0x54ae15d084842a84, 0xb7a7e4c57272d572, 0xd5dd72ec3939e439, 0x5a6198164c4c2d4c,
+0xca3bbc945e5e655e, 0xe785f09f7878fd78, 0xddd870e53838e038, 0x148605988c8c0a8c,
+0xc6b2bf17d1d163d1, 0x410b57e4a5a5aea5, 0x434dd9a1e2e2afe2, 0x2ff8c24e61619961,
+0xf1457b42b3b3f6b3, 0x15a5423421218421, 0x94d625089c9c4a9c, 0xf0663cee1e1e781e,
+0x2252866143431143, 0x76fc93b1c7c73bc7, 0xb32be54ffcfcd7fc, 0x2014082404041004,
+0xb208a2e351515951, 0xbcc72f2599995e99, 0x4fc4da226d6da96d, 0x68391a650d0d340d,
+0x8335e979fafacffa, 0xb684a369dfdf5bdf, 0xd79bfca97e7ee57e, 0x3db4481924249024,
+0xc5d776fe3b3bec3b, 0x313d4b9aabab96ab, 0x3ed181f0cece1fce, 0x8855229911114411,
+0x0c8903838f8f068f, 0x4a6b9c044e4e254e, 0xd1517366b7b7e6b7, 0x0b60cbe0ebeb8beb,
+0xfdcc78c13c3cf03c, 0x7cbf1ffd81813e81, 0xd4fe354094946a94, 0xeb0cf31cf7f7fbf7,
+0xa1676f18b9b9deb9, 0x985f268b13134c13, 0x7d9c58512c2cb02c, 0xd6b8bb05d3d36bd3,
+0x6b5cd38ce7e7bbe7, 0x57cbdc396e6ea56e, 0x6ef395aac4c437c4, 0x180f061b03030c03,
+0x8a13acdc56564556, 0x1a49885e44440d44, 0xdf9efea07f7fe17f, 0x21374f88a9a99ea9,
+0x4d8254672a2aa82a, 0xb16d6b0abbbbd6bb, 0x46e29f87c1c123c1, 0xa202a6f153535153,
+0xae8ba572dcdc57dc, 0x582716530b0b2c0b, 0x9cd327019d9d4e9d, 0x47c1d82b6c6cad6c,
+0x95f562a43131c431, 0x87b9e8f37474cd74, 0xe309f115f6f6fff6, 0x0a438c4c46460546,
+0x092645a5acac8aac, 0x3c970fb589891e89, 0xa04428b414145014, 0x5b42dfbae1e1a3e1,
+0xb04e2ca616165816, 0xcdd274f73a3ae83a, 0x6fd0d2066969b969, 0x482d124109092409,
+0xa7ade0d77070dd70, 0xd954716fb6b6e2b6, 0xceb7bd1ed0d067d0, 0x3b7ec7d6eded93ed,
+0x2edb85e2cccc17cc, 0x2a57846842421542, 0xb4c22d2c98985a98, 0x490e55eda4a4aaa4,
+0x5d8850752828a028, 0xda31b8865c5c6d5c, 0x933fed6bf8f8c7f8, 0x44a411c286862286,
+]
+C5 = [
+0x18c07830d8181860, 0x2305af462623238c, 0xc67ef991b8c6c63f, 0xe8136fcdfbe8e887,
+0x874ca113cb878726, 0xb8a9626d11b8b8da, 0x0108050209010104, 0x4f426e9e0d4f4f21,
+0x36adee6c9b3636d8, 0xa6590451ffa6a6a2, 0xd2debdb90cd2d26f, 0xf5fb06f70ef5f5f3,
+0x79ef80f2967979f9, 0x6f5fcede306f6fa1, 0x91fcef3f6d91917e, 0x52aa07a4f8525255,
+0x6027fdc04760609d, 0xbc89766535bcbcca, 0x9baccd2b379b9b56, 0x8e048c018a8e8e02,
+0xa371155bd2a3a3b6, 0x0c603c186c0c0c30, 0x7bff8af6847b7bf1, 0x35b5e16a803535d4,
+0x1de8693af51d1d74, 0xe05347ddb3e0e0a7, 0xd7f6acb321d7d77b, 0xc25eed999cc2c22f,
+0x2e6d965c432e2eb8, 0x4b627a96294b4b31, 0xfea321e15dfefedf, 0x578216aed5575741,
+0x15a8412abd151554, 0x779fb6eee87777c1, 0x37a5eb6e923737dc, 0xe57b56d79ee5e5b3,
+0x9f8cd923139f9f46, 0xf0d317fd23f0f0e7, 0x4a6a7f94204a4a35, 0xda9e95a944dada4f,
+0x58fa25b0a258587d, 0xc906ca8fcfc9c903, 0x29558d527c2929a4, 0x0a5022145a0a0a28,
+0xb1e14f7f50b1b1fe, 0xa0691a5dc9a0a0ba, 0x6b7fdad6146b6bb1, 0x855cab17d985852e,
+0xbd8173673cbdbdce, 0x5dd234ba8f5d5d69, 0x1080502090101040, 0xf4f303f507f4f4f7,
+0xcb16c08bddcbcb0b, 0x3eedc67cd33e3ef8, 0x0528110a2d050514, 0x671fe6ce78676781,
+0xe47353d597e4e4b7, 0x2725bb4e0227279c, 0x4132588273414119, 0x8b2c9d0ba78b8b16,
+0xa7510153f6a7a7a6, 0x7dcf94fab27d7de9, 0x95dcfb374995956e, 0xd88e9fad56d8d847,
+0xfb8b30eb70fbfbcb, 0xee2371c1cdeeee9f, 0x7cc791f8bb7c7ced, 0x6617e3cc71666685,
+0xdda68ea77bdddd53, 0x17b84b2eaf17175c, 0x4702468e45474701, 0x9e84dc211a9e9e42,
+0xca1ec589d4caca0f, 0x2d75995a582d2db4, 0xbf9179632ebfbfc6, 0x07381b0e3f07071c,
+0xad012347acadad8e, 0x5aea2fb4b05a5a75, 0x836cb51bef838336, 0x3385ff66b63333cc,
+0x633ff2c65c636391, 0x02100a0412020208, 0xaa39384993aaaa92, 0x71afa8e2de7171d9,
+0xc80ecf8dc6c8c807, 0x19c87d32d1191964, 0x497270923b494939, 0xd9869aaf5fd9d943,
+0xf2c31df931f2f2ef, 0xe34b48dba8e3e3ab, 0x5be22ab6b95b5b71, 0x8834920dbc88881a,
+0x9aa4c8293e9a9a52, 0x262dbe4c0b262698, 0x328dfa64bf3232c8, 0xb0e94a7d59b0b0fa,
+0xe91b6acff2e9e983, 0x0f78331e770f0f3c, 0xd5e6a6b733d5d573, 0x8074ba1df480803a,
+0xbe997c6127bebec2, 0xcd26de87ebcdcd13, 0x34bde468893434d0, 0x487a75903248483d,
+0xffab24e354ffffdb, 0x7af78ff48d7a7af5, 0x90f4ea3d6490907a, 0x5fc23ebe9d5f5f61,
+0x201da0403d202080, 0x6867d5d00f6868bd, 0x1ad07234ca1a1a68, 0xae192c41b7aeae82,
+0xb4c95e757db4b4ea, 0x549a19a8ce54544d, 0x93ece53b7f939376, 0x220daa442f222288,
+0x6407e9c86364648d, 0xf1db12ff2af1f1e3, 0x73bfa2e6cc7373d1, 0x12905a2482121248,
+0x403a5d807a40401d, 0x0840281048080820, 0xc356e89b95c3c32b, 0xec337bc5dfecec97,
+0xdb9690ab4ddbdb4b, 0xa1611f5fc0a1a1be, 0x8d1c8307918d8d0e, 0x3df5c97ac83d3df4,
+0x97ccf1335b979766, 0x0000000000000000, 0xcf36d483f9cfcf1b, 0x2b4587566e2b2bac,
+0x7697b3ece17676c5, 0x8264b019e6828232, 0xd6fea9b128d6d67f, 0x1bd87736c31b1b6c,
+0xb5c15b7774b5b5ee, 0xaf112943beafaf86, 0x6a77dfd41d6a6ab5, 0x50ba0da0ea50505d,
+0x45124c8a57454509, 0xf3cb18fb38f3f3eb, 0x309df060ad3030c0, 0xef2b74c3c4efef9b,
+0x3fe5c37eda3f3ffc, 0x55921caac7555549, 0xa2791059dba2a2b2, 0xea0365c9e9eaea8f,
+0x650fecca6a656589, 0xbab9686903babad2, 0x2f65935e4a2f2fbc, 0xc04ee79d8ec0c027,
+0xdebe81a160dede5f, 0x1ce06c38fc1c1c70, 0xfdbb2ee746fdfdd3, 0x4d52649a1f4d4d29,
+0x92e4e03976929272, 0x758fbceafa7575c9, 0x06301e0c36060618, 0x8a249809ae8a8a12,
+0xb2f940794bb2b2f2, 0xe66359d185e6e6bf, 0x0e70361c7e0e0e38, 0x1ff8633ee71f1f7c,
+0x6237f7c455626295, 0xd4eea3b53ad4d477, 0xa829324d81a8a89a, 0x96c4f43152969662,
+0xf99b3aef62f9f9c3, 0xc566f697a3c5c533, 0x2535b14a10252594, 0x59f220b2ab595979,
+0x8454ae15d084842a, 0x72b7a7e4c57272d5, 0x39d5dd72ec3939e4, 0x4c5a6198164c4c2d,
+0x5eca3bbc945e5e65, 0x78e785f09f7878fd, 0x38ddd870e53838e0, 0x8c148605988c8c0a,
+0xd1c6b2bf17d1d163, 0xa5410b57e4a5a5ae, 0xe2434dd9a1e2e2af, 0x612ff8c24e616199,
+0xb3f1457b42b3b3f6, 0x2115a54234212184, 0x9c94d625089c9c4a, 0x1ef0663cee1e1e78,
+0x4322528661434311, 0xc776fc93b1c7c73b, 0xfcb32be54ffcfcd7, 0x0420140824040410,
+0x51b208a2e3515159, 0x99bcc72f2599995e, 0x6d4fc4da226d6da9, 0x0d68391a650d0d34,
+0xfa8335e979fafacf, 0xdfb684a369dfdf5b, 0x7ed79bfca97e7ee5, 0x243db44819242490,
+0x3bc5d776fe3b3bec, 0xab313d4b9aabab96, 0xce3ed181f0cece1f, 0x1188552299111144,
+0x8f0c8903838f8f06, 0x4e4a6b9c044e4e25, 0xb7d1517366b7b7e6, 0xeb0b60cbe0ebeb8b,
+0x3cfdcc78c13c3cf0, 0x817cbf1ffd81813e, 0x94d4fe354094946a, 0xf7eb0cf31cf7f7fb,
+0xb9a1676f18b9b9de, 0x13985f268b13134c, 0x2c7d9c58512c2cb0, 0xd3d6b8bb05d3d36b,
+0xe76b5cd38ce7e7bb, 0x6e57cbdc396e6ea5, 0xc46ef395aac4c437, 0x03180f061b03030c,
+0x568a13acdc565645, 0x441a49885e44440d, 0x7fdf9efea07f7fe1, 0xa921374f88a9a99e,
+0x2a4d8254672a2aa8, 0xbbb16d6b0abbbbd6, 0xc146e29f87c1c123, 0x53a202a6f1535351,
+0xdcae8ba572dcdc57, 0x0b582716530b0b2c, 0x9d9cd327019d9d4e, 0x6c47c1d82b6c6cad,
+0x3195f562a43131c4, 0x7487b9e8f37474cd, 0xf6e309f115f6f6ff, 0x460a438c4c464605,
+0xac092645a5acac8a, 0x893c970fb589891e, 0x14a04428b4141450, 0xe15b42dfbae1e1a3,
+0x16b04e2ca6161658, 0x3acdd274f73a3ae8, 0x696fd0d2066969b9, 0x09482d1241090924,
+0x70a7ade0d77070dd, 0xb6d954716fb6b6e2, 0xd0ceb7bd1ed0d067, 0xed3b7ec7d6eded93,
+0xcc2edb85e2cccc17, 0x422a578468424215, 0x98b4c22d2c98985a, 0xa4490e55eda4a4aa,
+0x285d8850752828a0, 0x5cda31b8865c5c6d, 0xf8933fed6bf8f8c7, 0x8644a411c2868622,
+]
+C6 = [
+0x6018c07830d81818, 0x8c2305af46262323, 0x3fc67ef991b8c6c6, 0x87e8136fcdfbe8e8,
+0x26874ca113cb8787, 0xdab8a9626d11b8b8, 0x0401080502090101, 0x214f426e9e0d4f4f,
+0xd836adee6c9b3636, 0xa2a6590451ffa6a6, 0x6fd2debdb90cd2d2, 0xf3f5fb06f70ef5f5,
+0xf979ef80f2967979, 0xa16f5fcede306f6f, 0x7e91fcef3f6d9191, 0x5552aa07a4f85252,
+0x9d6027fdc0476060, 0xcabc89766535bcbc, 0x569baccd2b379b9b, 0x028e048c018a8e8e,
+0xb6a371155bd2a3a3, 0x300c603c186c0c0c, 0xf17bff8af6847b7b, 0xd435b5e16a803535,
+0x741de8693af51d1d, 0xa7e05347ddb3e0e0, 0x7bd7f6acb321d7d7, 0x2fc25eed999cc2c2,
+0xb82e6d965c432e2e, 0x314b627a96294b4b, 0xdffea321e15dfefe, 0x41578216aed55757,
+0x5415a8412abd1515, 0xc1779fb6eee87777, 0xdc37a5eb6e923737, 0xb3e57b56d79ee5e5,
+0x469f8cd923139f9f, 0xe7f0d317fd23f0f0, 0x354a6a7f94204a4a, 0x4fda9e95a944dada,
+0x7d58fa25b0a25858, 0x03c906ca8fcfc9c9, 0xa429558d527c2929, 0x280a5022145a0a0a,
+0xfeb1e14f7f50b1b1, 0xbaa0691a5dc9a0a0, 0xb16b7fdad6146b6b, 0x2e855cab17d98585,
+0xcebd8173673cbdbd, 0x695dd234ba8f5d5d, 0x4010805020901010, 0xf7f4f303f507f4f4,
+0x0bcb16c08bddcbcb, 0xf83eedc67cd33e3e, 0x140528110a2d0505, 0x81671fe6ce786767,
+0xb7e47353d597e4e4, 0x9c2725bb4e022727, 0x1941325882734141, 0x168b2c9d0ba78b8b,
+0xa6a7510153f6a7a7, 0xe97dcf94fab27d7d, 0x6e95dcfb37499595, 0x47d88e9fad56d8d8,
+0xcbfb8b30eb70fbfb, 0x9fee2371c1cdeeee, 0xed7cc791f8bb7c7c, 0x856617e3cc716666,
+0x53dda68ea77bdddd, 0x5c17b84b2eaf1717, 0x014702468e454747, 0x429e84dc211a9e9e,
+0x0fca1ec589d4caca, 0xb42d75995a582d2d, 0xc6bf9179632ebfbf, 0x1c07381b0e3f0707,
+0x8ead012347acadad, 0x755aea2fb4b05a5a, 0x36836cb51bef8383, 0xcc3385ff66b63333,
+0x91633ff2c65c6363, 0x0802100a04120202, 0x92aa39384993aaaa, 0xd971afa8e2de7171,
+0x07c80ecf8dc6c8c8, 0x6419c87d32d11919, 0x39497270923b4949, 0x43d9869aaf5fd9d9,
+0xeff2c31df931f2f2, 0xabe34b48dba8e3e3, 0x715be22ab6b95b5b, 0x1a8834920dbc8888,
+0x529aa4c8293e9a9a, 0x98262dbe4c0b2626, 0xc8328dfa64bf3232, 0xfab0e94a7d59b0b0,
+0x83e91b6acff2e9e9, 0x3c0f78331e770f0f, 0x73d5e6a6b733d5d5, 0x3a8074ba1df48080,
+0xc2be997c6127bebe, 0x13cd26de87ebcdcd, 0xd034bde468893434, 0x3d487a7590324848,
+0xdbffab24e354ffff, 0xf57af78ff48d7a7a, 0x7a90f4ea3d649090, 0x615fc23ebe9d5f5f,
+0x80201da0403d2020, 0xbd6867d5d00f6868, 0x681ad07234ca1a1a, 0x82ae192c41b7aeae,
+0xeab4c95e757db4b4, 0x4d549a19a8ce5454, 0x7693ece53b7f9393, 0x88220daa442f2222,
+0x8d6407e9c8636464, 0xe3f1db12ff2af1f1, 0xd173bfa2e6cc7373, 0x4812905a24821212,
+0x1d403a5d807a4040, 0x2008402810480808, 0x2bc356e89b95c3c3, 0x97ec337bc5dfecec,
+0x4bdb9690ab4ddbdb, 0xbea1611f5fc0a1a1, 0x0e8d1c8307918d8d, 0xf43df5c97ac83d3d,
+0x6697ccf1335b9797, 0x0000000000000000, 0x1bcf36d483f9cfcf, 0xac2b4587566e2b2b,
+0xc57697b3ece17676, 0x328264b019e68282, 0x7fd6fea9b128d6d6, 0x6c1bd87736c31b1b,
+0xeeb5c15b7774b5b5, 0x86af112943beafaf, 0xb56a77dfd41d6a6a, 0x5d50ba0da0ea5050,
+0x0945124c8a574545, 0xebf3cb18fb38f3f3, 0xc0309df060ad3030, 0x9bef2b74c3c4efef,
+0xfc3fe5c37eda3f3f, 0x4955921caac75555, 0xb2a2791059dba2a2, 0x8fea0365c9e9eaea,
+0x89650fecca6a6565, 0xd2bab9686903baba, 0xbc2f65935e4a2f2f, 0x27c04ee79d8ec0c0,
+0x5fdebe81a160dede, 0x701ce06c38fc1c1c, 0xd3fdbb2ee746fdfd, 0x294d52649a1f4d4d,
+0x7292e4e039769292, 0xc9758fbceafa7575, 0x1806301e0c360606, 0x128a249809ae8a8a,
+0xf2b2f940794bb2b2, 0xbfe66359d185e6e6, 0x380e70361c7e0e0e, 0x7c1ff8633ee71f1f,
+0x956237f7c4556262, 0x77d4eea3b53ad4d4, 0x9aa829324d81a8a8, 0x6296c4f431529696,
+0xc3f99b3aef62f9f9, 0x33c566f697a3c5c5, 0x942535b14a102525, 0x7959f220b2ab5959,
+0x2a8454ae15d08484, 0xd572b7a7e4c57272, 0xe439d5dd72ec3939, 0x2d4c5a6198164c4c,
+0x655eca3bbc945e5e, 0xfd78e785f09f7878, 0xe038ddd870e53838, 0x0a8c148605988c8c,
+0x63d1c6b2bf17d1d1, 0xaea5410b57e4a5a5, 0xafe2434dd9a1e2e2, 0x99612ff8c24e6161,
+0xf6b3f1457b42b3b3, 0x842115a542342121, 0x4a9c94d625089c9c, 0x781ef0663cee1e1e,
+0x1143225286614343, 0x3bc776fc93b1c7c7, 0xd7fcb32be54ffcfc, 0x1004201408240404,
+0x5951b208a2e35151, 0x5e99bcc72f259999, 0xa96d4fc4da226d6d, 0x340d68391a650d0d,
+0xcffa8335e979fafa, 0x5bdfb684a369dfdf, 0xe57ed79bfca97e7e, 0x90243db448192424,
+0xec3bc5d776fe3b3b, 0x96ab313d4b9aabab, 0x1fce3ed181f0cece, 0x4411885522991111,
+0x068f0c8903838f8f, 0x254e4a6b9c044e4e, 0xe6b7d1517366b7b7, 0x8beb0b60cbe0ebeb,
+0xf03cfdcc78c13c3c, 0x3e817cbf1ffd8181, 0x6a94d4fe35409494, 0xfbf7eb0cf31cf7f7,
+0xdeb9a1676f18b9b9, 0x4c13985f268b1313, 0xb02c7d9c58512c2c, 0x6bd3d6b8bb05d3d3,
+0xbbe76b5cd38ce7e7, 0xa56e57cbdc396e6e, 0x37c46ef395aac4c4, 0x0c03180f061b0303,
+0x45568a13acdc5656, 0x0d441a49885e4444, 0xe17fdf9efea07f7f, 0x9ea921374f88a9a9,
+0xa82a4d8254672a2a, 0xd6bbb16d6b0abbbb, 0x23c146e29f87c1c1, 0x5153a202a6f15353,
+0x57dcae8ba572dcdc, 0x2c0b582716530b0b, 0x4e9d9cd327019d9d, 0xad6c47c1d82b6c6c,
+0xc43195f562a43131, 0xcd7487b9e8f37474, 0xfff6e309f115f6f6, 0x05460a438c4c4646,
+0x8aac092645a5acac, 0x1e893c970fb58989, 0x5014a04428b41414, 0xa3e15b42dfbae1e1,
+0x5816b04e2ca61616, 0xe83acdd274f73a3a, 0xb9696fd0d2066969, 0x2409482d12410909,
+0xdd70a7ade0d77070, 0xe2b6d954716fb6b6, 0x67d0ceb7bd1ed0d0, 0x93ed3b7ec7d6eded,
+0x17cc2edb85e2cccc, 0x15422a5784684242, 0x5a98b4c22d2c9898, 0xaaa4490e55eda4a4,
+0xa0285d8850752828, 0x6d5cda31b8865c5c, 0xc7f8933fed6bf8f8, 0x228644a411c28686,
+]
+C7 = [
+0x186018c07830d818, 0x238c2305af462623, 0xc63fc67ef991b8c6, 0xe887e8136fcdfbe8,
+0x8726874ca113cb87, 0xb8dab8a9626d11b8, 0x0104010805020901, 0x4f214f426e9e0d4f,
+0x36d836adee6c9b36, 0xa6a2a6590451ffa6, 0xd26fd2debdb90cd2, 0xf5f3f5fb06f70ef5,
+0x79f979ef80f29679, 0x6fa16f5fcede306f, 0x917e91fcef3f6d91, 0x525552aa07a4f852,
+0x609d6027fdc04760, 0xbccabc89766535bc, 0x9b569baccd2b379b, 0x8e028e048c018a8e,
+0xa3b6a371155bd2a3, 0x0c300c603c186c0c, 0x7bf17bff8af6847b, 0x35d435b5e16a8035,
+0x1d741de8693af51d, 0xe0a7e05347ddb3e0, 0xd77bd7f6acb321d7, 0xc22fc25eed999cc2,
+0x2eb82e6d965c432e, 0x4b314b627a96294b, 0xfedffea321e15dfe, 0x5741578216aed557,
+0x155415a8412abd15, 0x77c1779fb6eee877, 0x37dc37a5eb6e9237, 0xe5b3e57b56d79ee5,
+0x9f469f8cd923139f, 0xf0e7f0d317fd23f0, 0x4a354a6a7f94204a, 0xda4fda9e95a944da,
+0x587d58fa25b0a258, 0xc903c906ca8fcfc9, 0x29a429558d527c29, 0x0a280a5022145a0a,
+0xb1feb1e14f7f50b1, 0xa0baa0691a5dc9a0, 0x6bb16b7fdad6146b, 0x852e855cab17d985,
+0xbdcebd8173673cbd, 0x5d695dd234ba8f5d, 0x1040108050209010, 0xf4f7f4f303f507f4,
+0xcb0bcb16c08bddcb, 0x3ef83eedc67cd33e, 0x05140528110a2d05, 0x6781671fe6ce7867,
+0xe4b7e47353d597e4, 0x279c2725bb4e0227, 0x4119413258827341, 0x8b168b2c9d0ba78b,
+0xa7a6a7510153f6a7, 0x7de97dcf94fab27d, 0x956e95dcfb374995, 0xd847d88e9fad56d8,
+0xfbcbfb8b30eb70fb, 0xee9fee2371c1cdee, 0x7ced7cc791f8bb7c, 0x66856617e3cc7166,
+0xdd53dda68ea77bdd, 0x175c17b84b2eaf17, 0x47014702468e4547, 0x9e429e84dc211a9e,
+0xca0fca1ec589d4ca, 0x2db42d75995a582d, 0xbfc6bf9179632ebf, 0x071c07381b0e3f07,
+0xad8ead012347acad, 0x5a755aea2fb4b05a, 0x8336836cb51bef83, 0x33cc3385ff66b633,
+0x6391633ff2c65c63, 0x020802100a041202, 0xaa92aa39384993aa, 0x71d971afa8e2de71,
+0xc807c80ecf8dc6c8, 0x196419c87d32d119, 0x4939497270923b49, 0xd943d9869aaf5fd9,
+0xf2eff2c31df931f2, 0xe3abe34b48dba8e3, 0x5b715be22ab6b95b, 0x881a8834920dbc88,
+0x9a529aa4c8293e9a, 0x2698262dbe4c0b26, 0x32c8328dfa64bf32, 0xb0fab0e94a7d59b0,
+0xe983e91b6acff2e9, 0x0f3c0f78331e770f, 0xd573d5e6a6b733d5, 0x803a8074ba1df480,
+0xbec2be997c6127be, 0xcd13cd26de87ebcd, 0x34d034bde4688934, 0x483d487a75903248,
+0xffdbffab24e354ff, 0x7af57af78ff48d7a, 0x907a90f4ea3d6490, 0x5f615fc23ebe9d5f,
+0x2080201da0403d20, 0x68bd6867d5d00f68, 0x1a681ad07234ca1a, 0xae82ae192c41b7ae,
+0xb4eab4c95e757db4, 0x544d549a19a8ce54, 0x937693ece53b7f93, 0x2288220daa442f22,
+0x648d6407e9c86364, 0xf1e3f1db12ff2af1, 0x73d173bfa2e6cc73, 0x124812905a248212,
+0x401d403a5d807a40, 0x0820084028104808, 0xc32bc356e89b95c3, 0xec97ec337bc5dfec,
+0xdb4bdb9690ab4ddb, 0xa1bea1611f5fc0a1, 0x8d0e8d1c8307918d, 0x3df43df5c97ac83d,
+0x976697ccf1335b97, 0x0000000000000000, 0xcf1bcf36d483f9cf, 0x2bac2b4587566e2b,
+0x76c57697b3ece176, 0x82328264b019e682, 0xd67fd6fea9b128d6, 0x1b6c1bd87736c31b,
+0xb5eeb5c15b7774b5, 0xaf86af112943beaf, 0x6ab56a77dfd41d6a, 0x505d50ba0da0ea50,
+0x450945124c8a5745, 0xf3ebf3cb18fb38f3, 0x30c0309df060ad30, 0xef9bef2b74c3c4ef,
+0x3ffc3fe5c37eda3f, 0x554955921caac755, 0xa2b2a2791059dba2, 0xea8fea0365c9e9ea,
+0x6589650fecca6a65, 0xbad2bab9686903ba, 0x2fbc2f65935e4a2f, 0xc027c04ee79d8ec0,
+0xde5fdebe81a160de, 0x1c701ce06c38fc1c, 0xfdd3fdbb2ee746fd, 0x4d294d52649a1f4d,
+0x927292e4e0397692, 0x75c9758fbceafa75, 0x061806301e0c3606, 0x8a128a249809ae8a,
+0xb2f2b2f940794bb2, 0xe6bfe66359d185e6, 0x0e380e70361c7e0e, 0x1f7c1ff8633ee71f,
+0x62956237f7c45562, 0xd477d4eea3b53ad4, 0xa89aa829324d81a8, 0x966296c4f4315296,
+0xf9c3f99b3aef62f9, 0xc533c566f697a3c5, 0x25942535b14a1025, 0x597959f220b2ab59,
+0x842a8454ae15d084, 0x72d572b7a7e4c572, 0x39e439d5dd72ec39, 0x4c2d4c5a6198164c,
+0x5e655eca3bbc945e, 0x78fd78e785f09f78, 0x38e038ddd870e538, 0x8c0a8c148605988c,
+0xd163d1c6b2bf17d1, 0xa5aea5410b57e4a5, 0xe2afe2434dd9a1e2, 0x6199612ff8c24e61,
+0xb3f6b3f1457b42b3, 0x21842115a5423421, 0x9c4a9c94d625089c, 0x1e781ef0663cee1e,
+0x4311432252866143, 0xc73bc776fc93b1c7, 0xfcd7fcb32be54ffc, 0x0410042014082404,
+0x515951b208a2e351, 0x995e99bcc72f2599, 0x6da96d4fc4da226d, 0x0d340d68391a650d,
+0xfacffa8335e979fa, 0xdf5bdfb684a369df, 0x7ee57ed79bfca97e, 0x2490243db4481924,
+0x3bec3bc5d776fe3b, 0xab96ab313d4b9aab, 0xce1fce3ed181f0ce, 0x1144118855229911,
+0x8f068f0c8903838f, 0x4e254e4a6b9c044e, 0xb7e6b7d1517366b7, 0xeb8beb0b60cbe0eb,
+0x3cf03cfdcc78c13c, 0x813e817cbf1ffd81, 0x946a94d4fe354094, 0xf7fbf7eb0cf31cf7,
+0xb9deb9a1676f18b9, 0x134c13985f268b13, 0x2cb02c7d9c58512c, 0xd36bd3d6b8bb05d3,
+0xe7bbe76b5cd38ce7, 0x6ea56e57cbdc396e, 0xc437c46ef395aac4, 0x030c03180f061b03,
+0x5645568a13acdc56, 0x440d441a49885e44, 0x7fe17fdf9efea07f, 0xa99ea921374f88a9,
+0x2aa82a4d8254672a, 0xbbd6bbb16d6b0abb, 0xc123c146e29f87c1, 0x535153a202a6f153,
+0xdc57dcae8ba572dc, 0x0b2c0b582716530b, 0x9d4e9d9cd327019d, 0x6cad6c47c1d82b6c,
+0x31c43195f562a431, 0x74cd7487b9e8f374, 0xf6fff6e309f115f6, 0x4605460a438c4c46,
+0xac8aac092645a5ac, 0x891e893c970fb589, 0x145014a04428b414, 0xe1a3e15b42dfbae1,
+0x165816b04e2ca616, 0x3ae83acdd274f73a, 0x69b9696fd0d20669, 0x092409482d124109,
+0x70dd70a7ade0d770, 0xb6e2b6d954716fb6, 0xd067d0ceb7bd1ed0, 0xed93ed3b7ec7d6ed,
+0xcc17cc2edb85e2cc, 0x4215422a57846842, 0x985a98b4c22d2c98, 0xa4aaa4490e55eda4,
+0x28a0285d88507528, 0x5c6d5cda31b8865c, 0xf8c7f8933fed6bf8, 0x86228644a411c286,
+]
+
+rc = [
+0x0000000000000000,
+0x1823c6e887b8014f,
+0x36a6d2f5796f9152,
+0x60bc9b8ea30c7b35,
+0x1de0d7c22e4bfe57,
+0x157737e59ff04ada,
+0x58c9290ab1a06b85,
+0xbd5d10f4cb3e0567,
+0xe427418ba77d95d8,
+0xfbee7c66dd17479e,
+0xca2dbf07ad5a8333
+]
+
+DIGESTBYTES = 64
+class WhirlpoolStruct:
+ def __init__(self):
+ self.bitLength = [0]*32
+ self.buffer = [0]*64
+ self.bufferBits = 0
+ self.bufferPos = 0
+ self.hash = [0]*8
+
+def WhirlpoolInit(ctx):
+ ctx = WhirlpoolStruct()
+ return
+
+def WhirlpoolAdd(source, sourceBits, ctx):
+ source = [ord(s)&0xff for s in source]
+
+ carry = 0
+ value = sourceBits
+ i = 31
+ while i >= 0 and value != 0:
+ carry += ctx.bitLength[i] + ((value % 0x100000000) & 0xff)
+ ctx.bitLength[i] = carry % 0x100
+ carry >>= 8
+ value >>= 8
+ i -= 1
+
+ bufferBits = ctx.bufferBits
+ bufferPos = ctx.bufferPos
+ sourcePos = 0
+ sourceGap = (8 - (sourceBits & 7)) & 7
+ bufferRem = ctx.bufferBits & 7
+ buffr = ctx.buffer
+
+ while sourceBits > 8:
+ b = ((source[sourcePos] << sourceGap) & 0xff) | ((source[sourcePos + 1] & 0xff) >> (8 - sourceGap))
+ buffr[bufferPos] |= (b >> bufferRem) % 0x100
+ bufferPos += 1
+ bufferBits += 8 - bufferRem
+ if bufferBits == 512:
+ processBuffer(ctx)
+ bufferBits = 0
+ bufferPos = 0
+
+ buffr[bufferPos] = b << (8 - bufferRem)
+ bufferBits += bufferRem
+
+ sourceBits -= 8
+ sourcePos += 1
+
+ b = (source[sourcePos] << sourceGap) & 0xff
+ buffr[bufferPos] |= b >> bufferRem
+ if bufferRem + sourceBits < 8:
+ bufferBits += sourceBits
+ else:
+ bufferPos += 1
+ bufferBits += 8 - bufferRem
+ sourceBits -= 8 - bufferRem
+ if bufferBits == 512:
+ processBuffer(ctx)
+ bufferBits = 0
+ bufferPos = 0
+ buffr[bufferPos] = b << (8 - bufferRem)
+ bufferBits += sourceBits
+ ctx.bufferBits = bufferBits
+ ctx.bufferPos = bufferPos
+
+def WhirlpoolFinalize(ctx):
+ bufferPos = ctx.bufferPos
+ ctx.buffer[bufferPos] |= 0x80 >> (ctx.bufferBits & 7)
+ bufferPos += 1
+ if bufferPos > 32:
+ if bufferPos < 64:
+ for i in xrange(64 - bufferPos):
+ ctx.buffer[bufferPos+i] = 0
+ processBuffer(ctx)
+ bufferPos = 0
+ if bufferPos < 32:
+ for i in xrange(32 - bufferPos):
+ ctx.buffer[bufferPos+i] = 0
+ bufferPos = 32
+ for i in xrange(32):
+ ctx.buffer[32+i] = ctx.bitLength[i]
+ processBuffer(ctx)
+ digest = '
+ for i in xrange(8):
+ digest += chr((ctx.hash[i] >> 56) % 0x100)
+ digest += chr((ctx.hash[i] >> 48) % 0x100)
+ digest += chr((ctx.hash[i] >> 40) % 0x100)
+ digest += chr((ctx.hash[i] >> 32) % 0x100)
+ digest += chr((ctx.hash[i] >> 24) % 0x100)
+ digest += chr((ctx.hash[i] >> 16) % 0x100)
+ digest += chr((ctx.hash[i] >> 8) % 0x100)
+ digest += chr((ctx.hash[i]) % 0x100)
+ ctx.bufferPos = bufferPos
+ return digest
+
+def CDo(buf, a0, a1, a2, a3, a4, a5, a6, a7):
+ return C0[((buf[a0] >> 56) % 0x100000000) & 0xff] ^
+ C1[((buf[a1] >> 48) % 0x100000000) & 0xff] ^
+ C2[((buf[a2] >> 40) % 0x100000000) & 0xff] ^
+ C3[((buf[a3] >> 32) % 0x100000000) & 0xff] ^
+ C4[((buf[a4] >> 24) % 0x100000000) & 0xff] ^
+ C5[((buf[a5] >> 16) % 0x100000000) & 0xff] ^
+ C6[((buf[a6] >> 8) % 0x100000000) & 0xff] ^
+ C7[((buf[a7] >> 0) % 0x100000000) & 0xff]
+
+def processBuffer(ctx):
+ i, r = 0, 0
+ K = [0]*8
+ block = [0]*8
+ state = [0]*8
+ L = [0]*8
+ buffr = ctx.buffer
+
+ buf_cnt = 0
+ for i in xrange(8):
+ block[i] = ((buffr[buf_cnt+0] & 0xff) << 56) ^
+ ((buffr[buf_cnt+1] & 0xff) << 48) ^
+ ((buffr[buf_cnt+2] & 0xff) << 40) ^
+ ((buffr[buf_cnt+3] & 0xff) << 32) ^
+ ((buffr[buf_cnt+4] & 0xff) << 24) ^
+ ((buffr[buf_cnt+5] & 0xff) << 16) ^
+ ((buffr[buf_cnt+6] & 0xff) << 8) ^
+ ((buffr[buf_cnt+7] & 0xff) << 0)
+ buf_cnt += 8
+ for i in xrange(8):
+ K[i] = ctx.hash[i]
+ state[i] = block[i] ^ K[i]
+
+ for r in xrange(1, R+1):
+ L[0] = CDo(K, 0, 7, 6, 5, 4, 3, 2, 1) ^ rc[r]
+ L[1] = CDo(K, 1, 0, 7, 6, 5, 4, 3, 2)
+ L[2] = CDo(K, 2, 1, 0, 7, 6, 5, 4, 3)
+ L[3] = CDo(K, 3, 2, 1, 0, 7, 6, 5, 4)
+ L[4] = CDo(K, 4, 3, 2, 1, 0, 7, 6, 5)
+ L[5] = CDo(K, 5, 4, 3, 2, 1, 0, 7, 6)
+ L[6] = CDo(K, 6, 5, 4, 3, 2, 1, 0, 7)
+ L[7] = CDo(K, 7, 6, 5, 4, 3, 2, 1, 0)
+ for i in xrange(8):
+ K[i] = L[i]
+ L[0] = CDo(state, 0, 7, 6, 5, 4, 3, 2, 1) ^ K[0]
+ L[1] = CDo(state, 1, 0, 7, 6, 5, 4, 3, 2) ^ K[1]
+ L[2] = CDo(state, 2, 1, 0, 7, 6, 5, 4, 3) ^ K[2]
+ L[3] = CDo(state, 3, 2, 1, 0, 7, 6, 5, 4) ^ K[3]
+ L[4] = CDo(state, 4, 3, 2, 1, 0, 7, 6, 5) ^ K[4]
+ L[5] = CDo(state, 5, 4, 3, 2, 1, 0, 7, 6) ^ K[5]
+ L[6] = CDo(state, 6, 5, 4, 3, 2, 1, 0, 7) ^ K[6]
+ L[7] = CDo(state, 7, 6, 5, 4, 3, 2, 1, 0) ^ K[7]
+ for i in xrange(8):
+ state[i] = L[i]
+ # apply the Miyaguchi-Preneel compression function
+ for i in xrange(8):
+ ctx.hash[i] ^= state[i] ^ block[i]
+ return
+
+#
+# Tests.
+#
+
+assert Whirlpool('The quick brown fox jumps over the lazy dog').hexdigest() ==
+ 'b97de512e91e3828b40d2b0fdce9ceb3c4a71f9bea8d88e75 c4fa854df36725fd2b52eb6544edcacd6f8beddfea403cb55a e31f03ad62a5ef54e42ee82c3fb35'
+assert Whirlpool('The quick brown fox jumps over the lazy eog').hexdigest() ==
+ 'c27ba124205f72e6847f3e19834f925cc666d0974167af915 bb462420ed40cc50900d85a1f923219d832357750492d5c143 011a76988344c2635e69d06f2d38c'
+assert Whirlpool(').hexdigest() ==
+ '19fa61d75522a4669b44e39c1d2e1726c530232130d407f89 afee0964997f7a73e83be698b288febcf88e3e03c4f0757ea8 964e59b63d93708b138cc42a66eb3'
diff -Nuarp trunk.orig/pym/portage/const.py trunk/pym/portage/const.py
--- trunk.orig/pym/portage/const.py 2010-02-01 04:59:27.000000000 +0000
+++ trunk/pym/portage/const.py 2010-02-01 04:14:00.000000000 +0000
@@ -86,10 +86,10 @@ EAPI = 3

HASHING_BLOCKSIZE = 32768
MANIFEST1_HASH_FUNCTIONS = ("MD5", "SHA256", "RMD160")
-MANIFEST2_HASH_FUNCTIONS = ("SHA1", "SHA256", "RMD160")
+MANIFEST2_HASH_FUNCTIONS = ("SHA256", "SHA512", "WHIRLPOOL")

MANIFEST1_REQUIRED_HASH = "MD5"
-MANIFEST2_REQUIRED_HASH = "SHA1"
+MANIFEST2_REQUIRED_HASH = "SHA256" # Change to WHIRLPOOL after 2010/09/01

MANIFEST2_IDENTIFIERS = ("AUX", "MISC", "DIST", "EBUILD")
# ================================================== =========================
 
Old 02-01-2010, 07:23 AM
Doug Goldstein
 
Default GLEP59 - Manifest2 hashes

On Sun, Jan 31, 2010 at 3:57 AM, Robin H. Johnson <robbat2@gentoo.org> wrote:
<snip>
>
> The SHA512 algorithm is available in Python 2.5, which has been a
> dependency of Portage since approximately Python 2.1.6.13.
<snip>

I hate to nitpick, but I believe you meant Portage in that line.

However, great work on this GLEP, you've put forth some good solid
research into it.

I do hope that we don't intend on settling on SHA512 as the end all
solution as well. We should retain a method for bumping the hashing
algorithm used when the SHA-3 family becomes available.

--
Doug Goldstein
 
Old 02-02-2010, 05:06 AM
Denis Dupeyron
 
Default GLEP59 - Manifest2 hashes

On Mon, Feb 1, 2010 at 1:23 AM, Doug Goldstein <cardoe@gentoo.org> wrote:
> However, great work on this GLEP, you've put forth some good solid
> research into it.

Agreed. I would suggest to use this series of GLEPs as examples of
what to do for future GLEP writers.

> I do hope that we don't intend on settling on SHA512 as the end all
> solution as well. We should retain a method for bumping the hashing
> algorithm used when the SHA-3 family becomes available.

From the way I understand it the GLEP implies that we can add hashes
at will. But that's a good point, and a one-liner somewhere making it
explicit would be useful. Thus, in "What should be done" I would I
would for example replace
"We should be prepared to add stronger checksums wherever possible,
and to remove those that have been defeated."
with:
"Stronger checksums shall be added as soon as an implementation is
available in Portage. Weak checksums may be removed as long as the
depreciation process is followed (see below)."

And then, in "Checksum depreciation timing" I would prefer that the
description of what needs to be done in the present situation was used
as an example after a more general rule is stated. Something like:
"At least one older algorithm must remain until the new one(s) has
(have) been in stable Portage for minimum one year."
The one year period is debatable, what matters is we have well defined
rules in order to avoid future flamewars.

Denis.
 
Old 02-02-2010, 05:09 AM
"Robin H. Johnson"
 
Default GLEP59 - Manifest2 hashes

On Mon, Feb 01, 2010 at 02:23:42AM -0600, Doug Goldstein wrote:
> On Sun, Jan 31, 2010 at 3:57 AM, Robin H. Johnson <robbat2@gentoo.org> wrote:
> <snip>
> >
> > The SHA512 algorithm is available in Python 2.5, which has been a
> > dependency of Portage since approximately Python 2.1.6.13.
> <snip>
> I hate to nitpick, but I believe you meant Portage in that line.
Thanks :-) Fixed.

> However, great work on this GLEP, you've put forth some good solid
> research into it.
>
> I do hope that we don't intend on settling on SHA512 as the end all
> solution as well. We should retain a method for bumping the hashing
> algorithm used when the SHA-3 family becomes available.
The present Portage logic I believe requires SHA1 still be present (so
I'm not sure how good the second patch I gave would be), and I'd like
that to change to rather be the strongest supported & available
algorithm.

--
Robin Hugh Johnson
Gentoo Linux: Developer, Trustee & Infrastructure Lead
E-Mail : robbat2@gentoo.org
GnuPG FP : 11AC BA4F 4778 E3F6 E4ED F38E B27B 944E 3488 4E85
 
Old 02-04-2010, 01:57 AM
"Robin H. Johnson"
 
Default GLEP59 - Manifest2 hashes

On Mon, Feb 01, 2010 at 11:06:15PM -0700, Denis Dupeyron wrote:
> Agreed. I would suggest to use this series of GLEPs as examples of
> what to do for future GLEP writers.
I've actual considered breaking them up even further.

> replace
> "We should be prepared to add stronger checksums wherever possible,
> and to remove those that have been defeated."
> with:
> "Stronger checksums shall be added as soon as an implementation is
> available in Portage. Weak checksums may be removed as long as the
> depreciation process is followed (see below)."
+1 on that wording, I'll commit when I am next able to. Do see already
how I partially adapted for Cardoe's requests.

> And then, in "Checksum depreciation timing" I would prefer that the
> description of what needs to be done in the present situation was used
> as an example after a more general rule is stated. Something like:
I'd propose the following variant:
=====
A minimum set of depreciated checksums shall be maintained only to
support old package manager versions where needed by historically used
trees:
- New package manager versions should NOT use depreciated checksums in
Manifests when newer checksums are available.
- New trees with that have never used the depreciated checksums may omit
them for reasons of size, but are still strongly suggested to include
them.
- Removal of depreciated checksums shall happen after no less than 18
months or one major Portage version cycle, whichever is greater.
=====

I'm not editing these into the checksum GLEP right now, as I'm sitting
in the food court at the airport, with my flight boarding shortly.
Most probably will be committed from my hotel room tomorrow night in
Brussels.

Signing off now, from an airport with bizarre wireless:
More than 45% of connections fail to start, but when they do, they're
good for more than 20Mbit. That's after you deal with the their broken
DNS in the auth mechanism (I'm probably the only person with working
wireless right now, so it's all the bandwidth to myself).

--
Robin Hugh Johnson
Gentoo Linux: Developer, Trustee & Infrastructure Lead
E-Mail : robbat2@gentoo.org
GnuPG FP : 11AC BA4F 4778 E3F6 E4ED F38E B27B 944E 3488 4E85
 

Thread Tools




All times are GMT. The time now is 07:20 AM.

VBulletin, Copyright ©2000 - 2014, Jelsoft Enterprises Ltd.
Content Relevant URLs by vBSEO ©2007, Crawlability, Inc.
Copyright 2007 - 2008, www.linux-archive.org