diff options
author | Ingo Molnar <mingo@kernel.org> | 2012-04-14 13:18:27 +0200 |
---|---|---|
committer | Ingo Molnar <mingo@kernel.org> | 2012-04-14 13:19:04 +0200 |
commit | 6ac1ef482d7ae0c690f1640bf6eb818ff9a2d91e (patch) | |
tree | 021cc9f6b477146fcebe6f3be4752abfa2ba18a9 /lib/crc32.c | |
parent | 682968e0c425c60f0dde37977e5beb2b12ddc4cc (diff) | |
parent | a385ec4f11bdcf81af094c03e2444ee9b7fad2e5 (diff) |
Merge branch 'perf/core' into perf/uprobes
Merge in latest upstream (and the latest perf development tree),
to prepare for tooling changes, and also to pick up v3.4 MM
changes that the uprobes code needs to take care of.
Signed-off-by: Ingo Molnar <mingo@kernel.org>
Diffstat (limited to 'lib/crc32.c')
-rw-r--r-- | lib/crc32.c | 1287 |
1 files changed, 965 insertions, 322 deletions
diff --git a/lib/crc32.c b/lib/crc32.c index 4b35d2b4437..b0d278fb1d9 100644 --- a/lib/crc32.c +++ b/lib/crc32.c @@ -1,4 +1,8 @@ /* + * Aug 8, 2011 Bob Pearson with help from Joakim Tjernlund and George Spelvin + * cleaned up code to current version of sparse and added the slicing-by-8 + * algorithm to the closely similar existing slicing-by-4 algorithm. + * * Oct 15, 2000 Matt Domsch <Matt_Domsch@dell.com> * Nicer crc32 functions/docs submitted by linux@horizon.com. Thanks! * Code was from the public domain, copyright abandoned. Code was @@ -20,52 +24,58 @@ * Version 2. See the file COPYING for more details. */ +/* see: Documentation/crc32.txt for a description of algorithms */ + #include <linux/crc32.h> -#include <linux/kernel.h> #include <linux/module.h> -#include <linux/compiler.h> #include <linux/types.h> -#include <linux/init.h> -#include <linux/atomic.h> #include "crc32defs.h" -#if CRC_LE_BITS == 8 -# define tole(x) __constant_cpu_to_le32(x) + +#if CRC_LE_BITS > 8 +# define tole(x) ((__force u32) __constant_cpu_to_le32(x)) #else # define tole(x) (x) #endif -#if CRC_BE_BITS == 8 -# define tobe(x) __constant_cpu_to_be32(x) +#if CRC_BE_BITS > 8 +# define tobe(x) ((__force u32) __constant_cpu_to_be32(x)) #else # define tobe(x) (x) #endif + #include "crc32table.h" MODULE_AUTHOR("Matt Domsch <Matt_Domsch@dell.com>"); -MODULE_DESCRIPTION("Ethernet CRC32 calculations"); +MODULE_DESCRIPTION("Various CRC32 calculations"); MODULE_LICENSE("GPL"); -#if CRC_LE_BITS == 8 || CRC_BE_BITS == 8 +#if CRC_LE_BITS > 8 || CRC_BE_BITS > 8 +/* implements slicing-by-4 or slicing-by-8 algorithm */ static inline u32 crc32_body(u32 crc, unsigned char const *buf, size_t len, const u32 (*tab)[256]) { # ifdef __LITTLE_ENDIAN # define DO_CRC(x) crc = t0[(crc ^ (x)) & 255] ^ (crc >> 8) -# define DO_CRC4 crc = t3[(crc) & 255] ^ \ - t2[(crc >> 8) & 255] ^ \ - t1[(crc >> 16) & 255] ^ \ - t0[(crc >> 24) & 255] +# define DO_CRC4 (t3[(q) & 255] ^ t2[(q >> 8) & 255] ^ \ + t1[(q >> 16) & 255] ^ t0[(q >> 24) & 255]) +# define DO_CRC8 (t7[(q) & 255] ^ t6[(q >> 8) & 255] ^ \ + t5[(q >> 16) & 255] ^ t4[(q >> 24) & 255]) # else # define DO_CRC(x) crc = t0[((crc >> 24) ^ (x)) & 255] ^ (crc << 8) -# define DO_CRC4 crc = t0[(crc) & 255] ^ \ - t1[(crc >> 8) & 255] ^ \ - t2[(crc >> 16) & 255] ^ \ - t3[(crc >> 24) & 255] +# define DO_CRC4 (t0[(q) & 255] ^ t1[(q >> 8) & 255] ^ \ + t2[(q >> 16) & 255] ^ t3[(q >> 24) & 255]) +# define DO_CRC8 (t4[(q) & 255] ^ t5[(q >> 8) & 255] ^ \ + t6[(q >> 16) & 255] ^ t7[(q >> 24) & 255]) # endif const u32 *b; size_t rem_len; +# ifdef CONFIG_X86 + size_t i; +# endif const u32 *t0=tab[0], *t1=tab[1], *t2=tab[2], *t3=tab[3]; + const u32 *t4 = tab[4], *t5 = tab[5], *t6 = tab[6], *t7 = tab[7]; + u32 q; /* Align it */ if (unlikely((long)buf & 3 && len)) { @@ -73,27 +83,51 @@ crc32_body(u32 crc, unsigned char const *buf, size_t len, const u32 (*tab)[256]) DO_CRC(*buf++); } while ((--len) && ((long)buf)&3); } + +# if CRC_LE_BITS == 32 rem_len = len & 3; - /* load data 32 bits wide, xor data 32 bits wide. */ len = len >> 2; +# else + rem_len = len & 7; + len = len >> 3; +# endif + b = (const u32 *)buf; +# ifdef CONFIG_X86 + --b; + for (i = 0; i < len; i++) { +# else for (--b; len; --len) { - crc ^= *++b; /* use pre increment for speed */ - DO_CRC4; +# endif + q = crc ^ *++b; /* use pre increment for speed */ +# if CRC_LE_BITS == 32 + crc = DO_CRC4; +# else + crc = DO_CRC8; + q = *++b; + crc ^= DO_CRC4; +# endif } len = rem_len; /* And the last few bytes */ if (len) { u8 *p = (u8 *)(b + 1) - 1; +# ifdef CONFIG_X86 + for (i = 0; i < len; i++) + DO_CRC(*++p); /* use pre increment for speed */ +# else do { DO_CRC(*++p); /* use pre increment for speed */ } while (--len); +# endif } return crc; #undef DO_CRC #undef DO_CRC4 +#undef DO_CRC8 } #endif + /** * crc32_le() - Calculate bitwise little-endian Ethernet AUTODIN II CRC32 * @crc: seed value for computation. ~0 for Ethernet, sometimes 0 for @@ -101,53 +135,66 @@ crc32_body(u32 crc, unsigned char const *buf, size_t len, const u32 (*tab)[256]) * @p: pointer to buffer over which CRC is run * @len: length of buffer @p */ -u32 __pure crc32_le(u32 crc, unsigned char const *p, size_t len); - -#if CRC_LE_BITS == 1 -/* - * In fact, the table-based code will work in this case, but it can be - * simplified by inlining the table in ?: form. - */ - -u32 __pure crc32_le(u32 crc, unsigned char const *p, size_t len) +static inline u32 __pure crc32_le_generic(u32 crc, unsigned char const *p, + size_t len, const u32 (*tab)[256], + u32 polynomial) { +#if CRC_LE_BITS == 1 int i; while (len--) { crc ^= *p++; for (i = 0; i < 8; i++) - crc = (crc >> 1) ^ ((crc & 1) ? CRCPOLY_LE : 0); + crc = (crc >> 1) ^ ((crc & 1) ? polynomial : 0); + } +# elif CRC_LE_BITS == 2 + while (len--) { + crc ^= *p++; + crc = (crc >> 2) ^ tab[0][crc & 3]; + crc = (crc >> 2) ^ tab[0][crc & 3]; + crc = (crc >> 2) ^ tab[0][crc & 3]; + crc = (crc >> 2) ^ tab[0][crc & 3]; } - return crc; -} -#else /* Table-based approach */ - -u32 __pure crc32_le(u32 crc, unsigned char const *p, size_t len) -{ -# if CRC_LE_BITS == 8 - const u32 (*tab)[] = crc32table_le; - - crc = __cpu_to_le32(crc); - crc = crc32_body(crc, p, len, tab); - return __le32_to_cpu(crc); # elif CRC_LE_BITS == 4 while (len--) { crc ^= *p++; - crc = (crc >> 4) ^ crc32table_le[crc & 15]; - crc = (crc >> 4) ^ crc32table_le[crc & 15]; + crc = (crc >> 4) ^ tab[0][crc & 15]; + crc = (crc >> 4) ^ tab[0][crc & 15]; } - return crc; -# elif CRC_LE_BITS == 2 +# elif CRC_LE_BITS == 8 + /* aka Sarwate algorithm */ while (len--) { crc ^= *p++; - crc = (crc >> 2) ^ crc32table_le[crc & 3]; - crc = (crc >> 2) ^ crc32table_le[crc & 3]; - crc = (crc >> 2) ^ crc32table_le[crc & 3]; - crc = (crc >> 2) ^ crc32table_le[crc & 3]; + crc = (crc >> 8) ^ tab[0][crc & 255]; } +# else + crc = (__force u32) __cpu_to_le32(crc); + crc = crc32_body(crc, p, len, tab); + crc = __le32_to_cpu((__force __le32)crc); +#endif return crc; -# endif +} + +#if CRC_LE_BITS == 1 +u32 __pure crc32_le(u32 crc, unsigned char const *p, size_t len) +{ + return crc32_le_generic(crc, p, len, NULL, CRCPOLY_LE); +} +u32 __pure __crc32c_le(u32 crc, unsigned char const *p, size_t len) +{ + return crc32_le_generic(crc, p, len, NULL, CRC32C_POLY_LE); +} +#else +u32 __pure crc32_le(u32 crc, unsigned char const *p, size_t len) +{ + return crc32_le_generic(crc, p, len, crc32table_le, CRCPOLY_LE); +} +u32 __pure __crc32c_le(u32 crc, unsigned char const *p, size_t len) +{ + return crc32_le_generic(crc, p, len, crc32ctable_le, CRC32C_POLY_LE); } #endif +EXPORT_SYMBOL(crc32_le); +EXPORT_SYMBOL(__crc32c_le); /** * crc32_be() - Calculate bitwise big-endian Ethernet AUTODIN II CRC32 @@ -156,317 +203,913 @@ u32 __pure crc32_le(u32 crc, unsigned char const *p, size_t len) * @p: pointer to buffer over which CRC is run * @len: length of buffer @p */ -u32 __pure crc32_be(u32 crc, unsigned char const *p, size_t len); - -#if CRC_BE_BITS == 1 -/* - * In fact, the table-based code will work in this case, but it can be - * simplified by inlining the table in ?: form. - */ - -u32 __pure crc32_be(u32 crc, unsigned char const *p, size_t len) +static inline u32 __pure crc32_be_generic(u32 crc, unsigned char const *p, + size_t len, const u32 (*tab)[256], + u32 polynomial) { +#if CRC_BE_BITS == 1 int i; while (len--) { crc ^= *p++ << 24; for (i = 0; i < 8; i++) crc = - (crc << 1) ^ ((crc & 0x80000000) ? CRCPOLY_BE : + (crc << 1) ^ ((crc & 0x80000000) ? polynomial : 0); } - return crc; -} - -#else /* Table-based approach */ -u32 __pure crc32_be(u32 crc, unsigned char const *p, size_t len) -{ -# if CRC_BE_BITS == 8 - const u32 (*tab)[] = crc32table_be; - - crc = __cpu_to_be32(crc); - crc = crc32_body(crc, p, len, tab); - return __be32_to_cpu(crc); +# elif CRC_BE_BITS == 2 + while (len--) { + crc ^= *p++ << 24; + crc = (crc << 2) ^ tab[0][crc >> 30]; + crc = (crc << 2) ^ tab[0][crc >> 30]; + crc = (crc << 2) ^ tab[0][crc >> 30]; + crc = (crc << 2) ^ tab[0][crc >> 30]; + } # elif CRC_BE_BITS == 4 while (len--) { crc ^= *p++ << 24; - crc = (crc << 4) ^ crc32table_be[crc >> 28]; - crc = (crc << 4) ^ crc32table_be[crc >> 28]; + crc = (crc << 4) ^ tab[0][crc >> 28]; + crc = (crc << 4) ^ tab[0][crc >> 28]; } - return crc; -# elif CRC_BE_BITS == 2 +# elif CRC_BE_BITS == 8 while (len--) { crc ^= *p++ << 24; - crc = (crc << 2) ^ crc32table_be[crc >> 30]; - crc = (crc << 2) ^ crc32table_be[crc >> 30]; - crc = (crc << 2) ^ crc32table_be[crc >> 30]; - crc = (crc << 2) ^ crc32table_be[crc >> 30]; + crc = (crc << 8) ^ tab[0][crc >> 24]; } - return crc; +# else + crc = (__force u32) __cpu_to_be32(crc); + crc = crc32_body(crc, p, len, tab); + crc = __be32_to_cpu((__force __be32)crc); # endif + return crc; } -#endif -EXPORT_SYMBOL(crc32_le); +#if CRC_LE_BITS == 1 +u32 __pure crc32_be(u32 crc, unsigned char const *p, size_t len) +{ + return crc32_be_generic(crc, p, len, NULL, CRCPOLY_BE); +} +#else +u32 __pure crc32_be(u32 crc, unsigned char const *p, size_t len) +{ + return crc32_be_generic(crc, p, len, crc32table_be, CRCPOLY_BE); +} +#endif EXPORT_SYMBOL(crc32_be); -/* - * A brief CRC tutorial. - * - * A CRC is a long-division remainder. You add the CRC to the message, - * and the whole thing (message+CRC) is a multiple of the given - * CRC polynomial. To check the CRC, you can either check that the - * CRC matches the recomputed value, *or* you can check that the - * remainder computed on the message+CRC is 0. This latter approach - * is used by a lot of hardware implementations, and is why so many - * protocols put the end-of-frame flag after the CRC. - * - * It's actually the same long division you learned in school, except that - * - We're working in binary, so the digits are only 0 and 1, and - * - When dividing polynomials, there are no carries. Rather than add and - * subtract, we just xor. Thus, we tend to get a bit sloppy about - * the difference between adding and subtracting. - * - * A 32-bit CRC polynomial is actually 33 bits long. But since it's - * 33 bits long, bit 32 is always going to be set, so usually the CRC - * is written in hex with the most significant bit omitted. (If you're - * familiar with the IEEE 754 floating-point format, it's the same idea.) - * - * Note that a CRC is computed over a string of *bits*, so you have - * to decide on the endianness of the bits within each byte. To get - * the best error-detecting properties, this should correspond to the - * order they're actually sent. For example, standard RS-232 serial is - * little-endian; the most significant bit (sometimes used for parity) - * is sent last. And when appending a CRC word to a message, you should - * do it in the right order, matching the endianness. - * - * Just like with ordinary division, the remainder is always smaller than - * the divisor (the CRC polynomial) you're dividing by. Each step of the - * division, you take one more digit (bit) of the dividend and append it - * to the current remainder. Then you figure out the appropriate multiple - * of the divisor to subtract to being the remainder back into range. - * In binary, it's easy - it has to be either 0 or 1, and to make the - * XOR cancel, it's just a copy of bit 32 of the remainder. - * - * When computing a CRC, we don't care about the quotient, so we can - * throw the quotient bit away, but subtract the appropriate multiple of - * the polynomial from the remainder and we're back to where we started, - * ready to process the next bit. - * - * A big-endian CRC written this way would be coded like: - * for (i = 0; i < input_bits; i++) { - * multiple = remainder & 0x80000000 ? CRCPOLY : 0; - * remainder = (remainder << 1 | next_input_bit()) ^ multiple; - * } - * Notice how, to get at bit 32 of the shifted remainder, we look - * at bit 31 of the remainder *before* shifting it. - * - * But also notice how the next_input_bit() bits we're shifting into - * the remainder don't actually affect any decision-making until - * 32 bits later. Thus, the first 32 cycles of this are pretty boring. - * Also, to add the CRC to a message, we need a 32-bit-long hole for it at - * the end, so we have to add 32 extra cycles shifting in zeros at the - * end of every message, - * - * So the standard trick is to rearrage merging in the next_input_bit() - * until the moment it's needed. Then the first 32 cycles can be precomputed, - * and merging in the final 32 zero bits to make room for the CRC can be - * skipped entirely. - * This changes the code to: - * for (i = 0; i < input_bits; i++) { - * remainder ^= next_input_bit() << 31; - * multiple = (remainder & 0x80000000) ? CRCPOLY : 0; - * remainder = (remainder << 1) ^ multiple; - * } - * With this optimization, the little-endian code is simpler: - * for (i = 0; i < input_bits; i++) { - * remainder ^= next_input_bit(); - * multiple = (remainder & 1) ? CRCPOLY : 0; - * remainder = (remainder >> 1) ^ multiple; - * } - * - * Note that the other details of endianness have been hidden in CRCPOLY - * (which must be bit-reversed) and next_input_bit(). - * - * However, as long as next_input_bit is returning the bits in a sensible - * order, we can actually do the merging 8 or more bits at a time rather - * than one bit at a time: - * for (i = 0; i < input_bytes; i++) { - * remainder ^= next_input_byte() << 24; - * for (j = 0; j < 8; j++) { - * multiple = (remainder & 0x80000000) ? CRCPOLY : 0; - * remainder = (remainder << 1) ^ multiple; - * } - * } - * Or in little-endian: - * for (i = 0; i < input_bytes; i++) { - * remainder ^= next_input_byte(); - * for (j = 0; j < 8; j++) { - * multiple = (remainder & 1) ? CRCPOLY : 0; - * remainder = (remainder << 1) ^ multiple; - * } - * } - * If the input is a multiple of 32 bits, you can even XOR in a 32-bit - * word at a time and increase the inner loop count to 32. - * - * You can also mix and match the two loop styles, for example doing the - * bulk of a message byte-at-a-time and adding bit-at-a-time processing - * for any fractional bytes at the end. - * - * The only remaining optimization is to the byte-at-a-time table method. - * Here, rather than just shifting one bit of the remainder to decide - * in the correct multiple to subtract, we can shift a byte at a time. - * This produces a 40-bit (rather than a 33-bit) intermediate remainder, - * but again the multiple of the polynomial to subtract depends only on - * the high bits, the high 8 bits in this case. - * - * The multiple we need in that case is the low 32 bits of a 40-bit - * value whose high 8 bits are given, and which is a multiple of the - * generator polynomial. This is simply the CRC-32 of the given - * one-byte message. - * - * Two more details: normally, appending zero bits to a message which - * is already a multiple of a polynomial produces a larger multiple of that - * polynomial. To enable a CRC to detect this condition, it's common to - * invert the CRC before appending it. This makes the remainder of the - * message+crc come out not as zero, but some fixed non-zero value. - * - * The same problem applies to zero bits prepended to the message, and - * a similar solution is used. Instead of starting with a remainder of - * 0, an initial remainder of all ones is used. As long as you start - * the same way on decoding, it doesn't make a difference. - */ - -#ifdef UNITTEST +#ifdef CONFIG_CRC32_SELFTEST -#include <stdlib.h> -#include <stdio.h> +/* 4096 random bytes */ +static u8 __attribute__((__aligned__(8))) test_buf[] = +{ + 0x5b, 0x85, 0x21, 0xcb, 0x09, 0x68, 0x7d, 0x30, + 0xc7, 0x69, 0xd7, 0x30, 0x92, 0xde, 0x59, 0xe4, + 0xc9, 0x6e, 0x8b, 0xdb, 0x98, 0x6b, 0xaa, 0x60, + 0xa8, 0xb5, 0xbc, 0x6c, 0xa9, 0xb1, 0x5b, 0x2c, + 0xea, 0xb4, 0x92, 0x6a, 0x3f, 0x79, 0x91, 0xe4, + 0xe9, 0x70, 0x51, 0x8c, 0x7f, 0x95, 0x6f, 0x1a, + 0x56, 0xa1, 0x5c, 0x27, 0x03, 0x67, 0x9f, 0x3a, + 0xe2, 0x31, 0x11, 0x29, 0x6b, 0x98, 0xfc, 0xc4, + 0x53, 0x24, 0xc5, 0x8b, 0xce, 0x47, 0xb2, 0xb9, + 0x32, 0xcb, 0xc1, 0xd0, 0x03, 0x57, 0x4e, 0xd4, + 0xe9, 0x3c, 0xa1, 0x63, 0xcf, 0x12, 0x0e, 0xca, + 0xe1, 0x13, 0xd1, 0x93, 0xa6, 0x88, 0x5c, 0x61, + 0x5b, 0xbb, 0xf0, 0x19, 0x46, 0xb4, 0xcf, 0x9e, + 0xb6, 0x6b, 0x4c, 0x3a, 0xcf, 0x60, 0xf9, 0x7a, + 0x8d, 0x07, 0x63, 0xdb, 0x40, 0xe9, 0x0b, 0x6f, + 0xad, 0x97, 0xf1, 0xed, 0xd0, 0x1e, 0x26, 0xfd, + 0xbf, 0xb7, 0xc8, 0x04, 0x94, 0xf8, 0x8b, 0x8c, + 0xf1, 0xab, 0x7a, 0xd4, 0xdd, 0xf3, 0xe8, 0x88, + 0xc3, 0xed, 0x17, 0x8a, 0x9b, 0x40, 0x0d, 0x53, + 0x62, 0x12, 0x03, 0x5f, 0x1b, 0x35, 0x32, 0x1f, + 0xb4, 0x7b, 0x93, 0x78, 0x0d, 0xdb, 0xce, 0xa4, + 0xc0, 0x47, 0xd5, 0xbf, 0x68, 0xe8, 0x5d, 0x74, + 0x8f, 0x8e, 0x75, 0x1c, 0xb2, 0x4f, 0x9a, 0x60, + 0xd1, 0xbe, 0x10, 0xf4, 0x5c, 0xa1, 0x53, 0x09, + 0xa5, 0xe0, 0x09, 0x54, 0x85, 0x5c, 0xdc, 0x07, + 0xe7, 0x21, 0x69, 0x7b, 0x8a, 0xfd, 0x90, 0xf1, + 0x22, 0xd0, 0xb4, 0x36, 0x28, 0xe6, 0xb8, 0x0f, + 0x39, 0xde, 0xc8, 0xf3, 0x86, 0x60, 0x34, 0xd2, + 0x5e, 0xdf, 0xfd, 0xcf, 0x0f, 0xa9, 0x65, 0xf0, + 0xd5, 0x4d, 0x96, 0x40, 0xe3, 0xdf, 0x3f, 0x95, + 0x5a, 0x39, 0x19, 0x93, 0xf4, 0x75, 0xce, 0x22, + 0x00, 0x1c, 0x93, 0xe2, 0x03, 0x66, 0xf4, 0x93, + 0x73, 0x86, 0x81, 0x8e, 0x29, 0x44, 0x48, 0x86, + 0x61, 0x7c, 0x48, 0xa3, 0x43, 0xd2, 0x9c, 0x8d, + 0xd4, 0x95, 0xdd, 0xe1, 0x22, 0x89, 0x3a, 0x40, + 0x4c, 0x1b, 0x8a, 0x04, 0xa8, 0x09, 0x69, 0x8b, + 0xea, 0xc6, 0x55, 0x8e, 0x57, 0xe6, 0x64, 0x35, + 0xf0, 0xc7, 0x16, 0x9f, 0x5d, 0x5e, 0x86, 0x40, + 0x46, 0xbb, 0xe5, 0x45, 0x88, 0xfe, 0xc9, 0x63, + 0x15, 0xfb, 0xf5, 0xbd, 0x71, 0x61, 0xeb, 0x7b, + 0x78, 0x70, 0x07, 0x31, 0x03, 0x9f, 0xb2, 0xc8, + 0xa7, 0xab, 0x47, 0xfd, 0xdf, 0xa0, 0x78, 0x72, + 0xa4, 0x2a, 0xe4, 0xb6, 0xba, 0xc0, 0x1e, 0x86, + 0x71, 0xe6, 0x3d, 0x18, 0x37, 0x70, 0xe6, 0xff, + 0xe0, 0xbc, 0x0b, 0x22, 0xa0, 0x1f, 0xd3, 0xed, + 0xa2, 0x55, 0x39, 0xab, 0xa8, 0x13, 0x73, 0x7c, + 0x3f, 0xb2, 0xd6, 0x19, 0xac, 0xff, 0x99, 0xed, + 0xe8, 0xe6, 0xa6, 0x22, 0xe3, 0x9c, 0xf1, 0x30, + 0xdc, 0x01, 0x0a, 0x56, 0xfa, 0xe4, 0xc9, 0x99, + 0xdd, 0xa8, 0xd8, 0xda, 0x35, 0x51, 0x73, 0xb4, + 0x40, 0x86, 0x85, 0xdb, 0x5c, 0xd5, 0x85, 0x80, + 0x14, 0x9c, 0xfd, 0x98, 0xa9, 0x82, 0xc5, 0x37, + 0xff, 0x32, 0x5d, 0xd0, 0x0b, 0xfa, 0xdc, 0x04, + 0x5e, 0x09, 0xd2, 0xca, 0x17, 0x4b, 0x1a, 0x8e, + 0x15, 0xe1, 0xcc, 0x4e, 0x52, 0x88, 0x35, 0xbd, + 0x48, 0xfe, 0x15, 0xa0, 0x91, 0xfd, 0x7e, 0x6c, + 0x0e, 0x5d, 0x79, 0x1b, 0x81, 0x79, 0xd2, 0x09, + 0x34, 0x70, 0x3d, 0x81, 0xec, 0xf6, 0x24, 0xbb, + 0xfb, 0xf1, 0x7b, 0xdf, 0x54, 0xea, 0x80, 0x9b, + 0xc7, 0x99, 0x9e, 0xbd, 0x16, 0x78, 0x12, 0x53, + 0x5e, 0x01, 0xa7, 0x4e, 0xbd, 0x67, 0xe1, 0x9b, + 0x4c, 0x0e, 0x61, 0x45, 0x97, 0xd2, 0xf0, 0x0f, + 0xfe, 0x15, 0x08, 0xb7, 0x11, 0x4c, 0xe7, 0xff, + 0x81, 0x53, 0xff, 0x91, 0x25, 0x38, 0x7e, 0x40, + 0x94, 0xe5, 0xe0, 0xad, 0xe6, 0xd9, 0x79, 0xb6, + 0x92, 0xc9, 0xfc, 0xde, 0xc3, 0x1a, 0x23, 0xbb, + 0xdd, 0xc8, 0x51, 0x0c, 0x3a, 0x72, 0xfa, 0x73, + 0x6f, 0xb7, 0xee, 0x61, 0x39, 0x03, 0x01, 0x3f, + 0x7f, 0x94, 0x2e, 0x2e, 0xba, 0x3a, 0xbb, 0xb4, + 0xfa, 0x6a, 0x17, 0xfe, 0xea, 0xef, 0x5e, 0x66, + 0x97, 0x3f, 0x32, 0x3d, 0xd7, 0x3e, 0xb1, 0xf1, + 0x6c, 0x14, 0x4c, 0xfd, 0x37, 0xd3, 0x38, 0x80, + 0xfb, 0xde, 0xa6, 0x24, 0x1e, 0xc8, 0xca, 0x7f, + 0x3a, 0x93, 0xd8, 0x8b, 0x18, 0x13, 0xb2, 0xe5, + 0xe4, 0x93, 0x05, 0x53, 0x4f, 0x84, 0x66, 0xa7, + 0x58, 0x5c, 0x7b, 0x86, 0x52, 0x6d, 0x0d, 0xce, + 0xa4, 0x30, 0x7d, 0xb6, 0x18, 0x9f, 0xeb, 0xff, + 0x22, 0xbb, 0x72, 0x29, 0xb9, 0x44, 0x0b, 0x48, + 0x1e, 0x84, 0x71, 0x81, 0xe3, 0x6d, 0x73, 0x26, + 0x92, 0xb4, 0x4d, 0x2a, 0x29, 0xb8, 0x1f, 0x72, + 0xed, 0xd0, 0xe1, 0x64, 0x77, 0xea, 0x8e, 0x88, + 0x0f, 0xef, 0x3f, 0xb1, 0x3b, 0xad, 0xf9, 0xc9, + 0x8b, 0xd0, 0xac, 0xc6, 0xcc, 0xa9, 0x40, 0xcc, + 0x76, 0xf6, 0x3b, 0x53, 0xb5, 0x88, 0xcb, 0xc8, + 0x37, 0xf1, 0xa2, 0xba, 0x23, 0x15, 0x99, 0x09, + 0xcc, 0xe7, 0x7a, 0x3b, 0x37, 0xf7, 0x58, 0xc8, + 0x46, 0x8c, 0x2b, 0x2f, 0x4e, 0x0e, 0xa6, 0x5c, + 0xea, 0x85, 0x55, 0xba, 0x02, 0x0e, 0x0e, 0x48, + 0xbc, 0xe1, 0xb1, 0x01, 0x35, 0x79, 0x13, 0x3d, + 0x1b, 0xc0, 0x53, 0x68, 0x11, 0xe7, 0x95, 0x0f, + 0x9d, 0x3f, 0x4c, 0x47, 0x7b, 0x4d, 0x1c, 0xae, + 0x50, 0x9b, 0xcb, 0xdd, 0x05, 0x8d, 0x9a, 0x97, + 0xfd, 0x8c, 0xef, 0x0c, 0x1d, 0x67, 0x73, 0xa8, + 0x28, 0x36, 0xd5, 0xb6, 0x92, 0x33, 0x40, 0x75, + 0x0b, 0x51, 0xc3, 0x64, 0xba, 0x1d, 0xc2, 0xcc, + 0xee, 0x7d, 0x54, 0x0f, 0x27, 0x69, 0xa7, 0x27, + 0x63, 0x30, 0x29, 0xd9, 0xc8, 0x84, 0xd8, 0xdf, + 0x9f, 0x68, 0x8d, 0x04, 0xca, 0xa6, 0xc5, 0xc7, + 0x7a, 0x5c, 0xc8, 0xd1, 0xcb, 0x4a, 0xec, 0xd0, + 0xd8, 0x20, 0x69, 0xc5, 0x17, 0xcd, 0x78, 0xc8, + 0x75, 0x23, 0x30, 0x69, 0xc9, 0xd4, 0xea, 0x5c, + 0x4f, 0x6b, 0x86, 0x3f, 0x8b, 0xfe, 0xee, 0x44, + 0xc9, 0x7c, 0xb7, 0xdd, 0x3e, 0xe5, 0xec, 0x54, + 0x03, 0x3e, 0xaa, 0x82, 0xc6, 0xdf, 0xb2, 0x38, + 0x0e, 0x5d, 0xb3, 0x88, 0xd9, 0xd3, 0x69, 0x5f, + 0x8f, 0x70, 0x8a, 0x7e, 0x11, 0xd9, 0x1e, 0x7b, + 0x38, 0xf1, 0x42, 0x1a, 0xc0, 0x35, 0xf5, 0xc7, + 0x36, 0x85, 0xf5, 0xf7, 0xb8, 0x7e, 0xc7, 0xef, + 0x18, 0xf1, 0x63, 0xd6, 0x7a, 0xc6, 0xc9, 0x0e, + 0x4d, 0x69, 0x4f, 0x84, 0xef, 0x26, 0x41, 0x0c, + 0xec, 0xc7, 0xe0, 0x7e, 0x3c, 0x67, 0x01, 0x4c, + 0x62, 0x1a, 0x20, 0x6f, 0xee, 0x47, 0x4d, 0xc0, + 0x99, 0x13, 0x8d, 0x91, 0x4a, 0x26, 0xd4, 0x37, + 0x28, 0x90, 0x58, 0x75, 0x66, 0x2b, 0x0a, 0xdf, + 0xda, 0xee, 0x92, 0x25, 0x90, 0x62, 0x39, 0x9e, + 0x44, 0x98, 0xad, 0xc1, 0x88, 0xed, 0xe4, 0xb4, + 0xaf, 0xf5, 0x8c, 0x9b, 0x48, 0x4d, 0x56, 0x60, + 0x97, 0x0f, 0x61, 0x59, 0x9e, 0xa6, 0x27, 0xfe, + 0xc1, 0x91, 0x15, 0x38, 0xb8, 0x0f, 0xae, 0x61, + 0x7d, 0x26, 0x13, 0x5a, 0x73, 0xff, 0x1c, 0xa3, + 0x61, 0x04, 0x58, 0x48, 0x55, 0x44, 0x11, 0xfe, + 0x15, 0xca, 0xc3, 0xbd, 0xca, 0xc5, 0xb4, 0x40, + 0x5d, 0x1b, 0x7f, 0x39, 0xb5, 0x9c, 0x35, 0xec, + 0x61, 0x15, 0x32, 0x32, 0xb8, 0x4e, 0x40, 0x9f, + 0x17, 0x1f, 0x0a, 0x4d, 0xa9, 0x91, 0xef, 0xb7, + 0xb0, 0xeb, 0xc2, 0x83, 0x9a, 0x6c, 0xd2, 0x79, + 0x43, 0x78, 0x5e, 0x2f, 0xe5, 0xdd, 0x1a, 0x3c, + 0x45, 0xab, 0x29, 0x40, 0x3a, 0x37, 0x5b, 0x6f, + 0xd7, 0xfc, 0x48, 0x64, 0x3c, 0x49, 0xfb, 0x21, + 0xbe, 0xc3, 0xff, 0x07, 0xfb, 0x17, 0xe9, 0xc9, + 0x0c, 0x4c, 0x5c, 0x15, 0x9e, 0x8e, 0x22, 0x30, + 0x0a, 0xde, 0x48, 0x7f, 0xdb, 0x0d, 0xd1, 0x2b, + 0x87, 0x38, 0x9e, 0xcc, 0x5a, 0x01, 0x16, 0xee, + 0x75, 0x49, 0x0d, 0x30, 0x01, 0x34, 0x6a, 0xb6, + 0x9a, 0x5a, 0x2a, 0xec, 0xbb, 0x48, 0xac, 0xd3, + 0x77, 0x83, 0xd8, 0x08, 0x86, 0x4f, 0x48, 0x09, + 0x29, 0x41, 0x79, 0xa1, 0x03, 0x12, 0xc4, 0xcd, + 0x90, 0x55, 0x47, 0x66, 0x74, 0x9a, 0xcc, 0x4f, + 0x35, 0x8c, 0xd6, 0x98, 0xef, 0xeb, 0x45, 0xb9, + 0x9a, 0x26, 0x2f, 0x39, 0xa5, 0x70, 0x6d, 0xfc, + 0xb4, 0x51, 0xee, 0xf4, 0x9c, 0xe7, 0x38, 0x59, + 0xad, 0xf4, 0xbc, 0x46, 0xff, 0x46, 0x8e, 0x60, + 0x9c, 0xa3, 0x60, 0x1d, 0xf8, 0x26, 0x72, 0xf5, + 0x72, 0x9d, 0x68, 0x80, 0x04, 0xf6, 0x0b, 0xa1, + 0x0a, 0xd5, 0xa7, 0x82, 0x3a, 0x3e, 0x47, 0xa8, + 0x5a, 0xde, 0x59, 0x4f, 0x7b, 0x07, 0xb3, 0xe9, + 0x24, 0x19, 0x3d, 0x34, 0x05, 0xec, 0xf1, 0xab, + 0x6e, 0x64, 0x8f, 0xd3, 0xe6, 0x41, 0x86, 0x80, + 0x70, 0xe3, 0x8d, 0x60, 0x9c, 0x34, 0x25, 0x01, + 0x07, 0x4d, 0x19, 0x41, 0x4e, 0x3d, 0x5c, 0x7e, + 0xa8, 0xf5, 0xcc, 0xd5, 0x7b, 0xe2, 0x7d, 0x3d, + 0x49, 0x86, 0x7d, 0x07, 0xb7, 0x10, 0xe3, 0x35, + 0xb8, 0x84, 0x6d, 0x76, 0xab, 0x17, 0xc6, 0x38, + 0xb4, 0xd3, 0x28, 0x57, 0xad, 0xd3, 0x88, 0x5a, + 0xda, 0xea, 0xc8, 0x94, 0xcc, 0x37, 0x19, 0xac, + 0x9c, 0x9f, 0x4b, 0x00, 0x15, 0xc0, 0xc8, 0xca, + 0x1f, 0x15, 0xaa, 0xe0, 0xdb, 0xf9, 0x2f, 0x57, + 0x1b, 0x24, 0xc7, 0x6f, 0x76, 0x29, 0xfb, 0xed, + 0x25, 0x0d, 0xc0, 0xfe, 0xbd, 0x5a, 0xbf, 0x20, + 0x08, 0x51, 0x05, 0xec, 0x71, 0xa3, 0xbf, 0xef, + 0x5e, 0x99, 0x75, 0xdb, 0x3c, 0x5f, 0x9a, 0x8c, + 0xbb, 0x19, 0x5c, 0x0e, 0x93, 0x19, 0xf8, 0x6a, + 0xbc, 0xf2, 0x12, 0x54, 0x2f, 0xcb, 0x28, 0x64, + 0x88, 0xb3, 0x92, 0x0d, 0x96, 0xd1, 0xa6, 0xe4, + 0x1f, 0xf1, 0x4d, 0xa4, 0xab, 0x1c, 0xee, 0x54, + 0xf2, 0xad, 0x29, 0x6d, 0x32, 0x37, 0xb2, 0x16, + 0x77, 0x5c, 0xdc, 0x2e, 0x54, 0xec, 0x75, 0x26, + 0xc6, 0x36, 0xd9, 0x17, 0x2c, 0xf1, 0x7a, 0xdc, + 0x4b, 0xf1, 0xe2, 0xd9, 0x95, 0xba, 0xac, 0x87, + 0xc1, 0xf3, 0x8e, 0x58, 0x08, 0xd8, 0x87, 0x60, + 0xc9, 0xee, 0x6a, 0xde, 0xa4, 0xd2, 0xfc, 0x0d, + 0xe5, 0x36, 0xc4, 0x5c, 0x52, 0xb3, 0x07, 0x54, + 0x65, 0x24, 0xc1, 0xb1, 0xd1, 0xb1, 0x53, 0x13, + 0x31, 0x79, 0x7f, 0x05, 0x76, 0xeb, 0x37, 0x59, + 0x15, 0x2b, 0xd1, 0x3f, 0xac, 0x08, 0x97, 0xeb, + 0x91, 0x98, 0xdf, 0x6c, 0x09, 0x0d, 0x04, 0x9f, + 0xdc, 0x3b, 0x0e, 0x60, 0x68, 0x47, 0x23, 0x15, + 0x16, 0xc6, 0x0b, 0x35, 0xf8, 0x77, 0xa2, 0x78, + 0x50, 0xd4, 0x64, 0x22, 0x33, 0xff, 0xfb, 0x93, + 0x71, 0x46, 0x50, 0x39, 0x1b, 0x9c, 0xea, 0x4e, + 0x8d, 0x0c, 0x37, 0xe5, 0x5c, 0x51, 0x3a, 0x31, + 0xb2, 0x85, 0x84, 0x3f, 0x41, 0xee, 0xa2, 0xc1, + 0xc6, 0x13, 0x3b, 0x54, 0x28, 0xd2, 0x18, 0x37, + 0xcc, 0x46, 0x9f, 0x6a, 0x91, 0x3d, 0x5a, 0x15, + 0x3c, 0x89, 0xa3, 0x61, 0x06, 0x7d, 0x2e, 0x78, + 0xbe, 0x7d, 0x40, 0xba, 0x2f, 0x95, 0xb1, 0x2f, + 0x87, 0x3b, 0x8a, 0xbe, 0x6a, 0xf4, 0xc2, 0x31, + 0x74, 0xee, 0x91, 0xe0, 0x23, 0xaa, 0x5d, 0x7f, + 0xdd, 0xf0, 0x44, 0x8c, 0x0b, 0x59, 0x2b, 0xfc, + 0x48, 0x3a, 0xdf, 0x07, 0x05, 0x38, 0x6c, 0xc9, + 0xeb, 0x18, 0x24, 0x68, 0x8d, 0x58, 0x98, 0xd3, + 0x31, 0xa3, 0xe4, 0x70, 0x59, 0xb1, 0x21, 0xbe, + 0x7e, 0x65, 0x7d, 0xb8, 0x04, 0xab, 0xf6, 0xe4, + 0xd7, 0xda, 0xec, 0x09, 0x8f, 0xda, 0x6d, 0x24, + 0x07, 0xcc, 0x29, 0x17, 0x05, 0x78, 0x1a, 0xc1, + 0xb1, 0xce, 0xfc, 0xaa, 0x2d, 0xe7, 0xcc, 0x85, + 0x84, 0x84, 0x03, 0x2a, 0x0c, 0x3f, 0xa9, 0xf8, + 0xfd, 0x84, 0x53, 0x59, 0x5c, 0xf0, 0xd4, 0x09, + 0xf0, 0xd2, 0x6c, 0x32, 0x03, 0xb0, 0xa0, 0x8c, + 0x52, 0xeb, 0x23, 0x91, 0x88, 0x43, 0x13, 0x46, + 0xf6, 0x1e, 0xb4, 0x1b, 0xf5, 0x8e, 0x3a, 0xb5, + 0x3d, 0x00, 0xf6, 0xe5, 0x08, 0x3d, 0x5f, 0x39, + 0xd3, 0x21, 0x69, 0xbc, 0x03, 0x22, 0x3a, 0xd2, + 0x5c, 0x84, 0xf8, 0x15, 0xc4, 0x80, 0x0b, 0xbc, + 0x29, 0x3c, 0xf3, 0x95, 0x98, 0xcd, 0x8f, 0x35, + 0xbc, 0xa5, 0x3e, 0xfc, 0xd4, 0x13, 0x9e, 0xde, + 0x4f, 0xce, 0x71, 0x9d, 0x09, 0xad, 0xf2, 0x80, + 0x6b, 0x65, 0x7f, 0x03, 0x00, 0x14, 0x7c, 0x15, + 0x85, 0x40, 0x6d, 0x70, 0xea, 0xdc, 0xb3, 0x63, + 0x35, 0x4f, 0x4d, 0xe0, 0xd9, 0xd5, 0x3c, 0x58, + 0x56, 0x23, 0x80, 0xe2, 0x36, 0xdd, 0x75, 0x1d, + 0x94, 0x11, 0x41, 0x8e, 0xe0, 0x81, 0x8e, 0xcf, + 0xe0, 0xe5, 0xf6, 0xde, 0xd1, 0xe7, 0x04, 0x12, + 0x79, 0x92, 0x2b, 0x71, 0x2a, 0x79, 0x8b, 0x7c, + 0x44, 0x79, 0x16, 0x30, 0x4e, 0xf4, 0xf6, 0x9b, + 0xb7, 0x40, 0xa3, 0x5a, 0xa7, 0x69, 0x3e, 0xc1, + 0x3a, 0x04, 0xd0, 0x88, 0xa0, 0x3b, 0xdd, 0xc6, + 0x9e, 0x7e, 0x1e, 0x1e, 0x8f, 0x44, 0xf7, 0x73, + 0x67, 0x1e, 0x1a, 0x78, 0xfa, 0x62, 0xf4, 0xa9, + 0xa8, 0xc6, 0x5b, 0xb8, 0xfa, 0x06, 0x7d, 0x5e, + 0x38, 0x1c, 0x9a, 0x39, 0xe9, 0x39, 0x98, 0x22, + 0x0b, 0xa7, 0xac, 0x0b, 0xf3, 0xbc, 0xf1, 0xeb, + 0x8c, 0x81, 0xe3, 0x48, 0x8a, 0xed, 0x42, 0xc2, + 0x38, 0xcf, 0x3e, 0xda, 0xd2, 0x89, 0x8d, 0x9c, + 0x53, 0xb5, 0x2f, 0x41, 0x01, 0x26, 0x84, 0x9c, + 0xa3, 0x56, 0xf6, 0x49, 0xc7, 0xd4, 0x9f, 0x93, + 0x1b, 0x96, 0x49, 0x5e, 0xad, 0xb3, 0x84, 0x1f, + 0x3c, 0xa4, 0xe0, 0x9b, 0xd1, 0x90, 0xbc, 0x38, + 0x6c, 0xdd, 0x95, 0x4d, 0x9d, 0xb1, 0x71, 0x57, + 0x2d, 0x34, 0xe8, 0xb8, 0x42, 0xc7, 0x99, 0x03, + 0xc7, 0x07, 0x30, 0x65, 0x91, 0x55, 0xd5, 0x90, + 0x70, 0x97, 0x37, 0x68, 0xd4, 0x11, 0xf9, 0xe8, + 0xce, 0xec, 0xdc, 0x34, 0xd5, 0xd3, 0xb7, 0xc4, + 0xb8, 0x97, 0x05, 0x92, 0xad, 0xf8, 0xe2, 0x36, + 0x64, 0x41, 0xc9, 0xc5, 0x41, 0x77, 0x52, 0xd7, + 0x2c, 0xa5, 0x24, 0x2f, 0xd9, 0x34, 0x0b, 0x47, + 0x35, 0xa7, 0x28, 0x8b, 0xc5, 0xcd, 0xe9, 0x46, + 0xac, 0x39, 0x94, 0x3c, 0x10, 0xc6, 0x29, 0x73, + 0x0e, 0x0e, 0x5d, 0xe0, 0x71, 0x03, 0x8a, 0x72, + 0x0e, 0x26, 0xb0, 0x7d, 0x84, 0xed, 0x95, 0x23, + 0x49, 0x5a, 0x45, 0x83, 0x45, 0x60, 0x11, 0x4a, + 0x46, 0x31, 0xd4, 0xd8, 0x16, 0x54, 0x98, 0x58, + 0xed, 0x6d, 0xcc, 0x5d, 0xd6, 0x50, 0x61, 0x9f, + 0x9d, 0xc5, 0x3e, 0x9d, 0x32, 0x47, 0xde, 0x96, + 0xe1, 0x5d, 0xd8, 0xf8, 0xb4, 0x69, 0x6f, 0xb9, + 0x15, 0x90, 0x57, 0x7a, 0xf6, 0xad, 0xb0, 0x5b, + 0xf5, 0xa6, 0x36, 0x94, 0xfd, 0x84, 0xce, 0x1c, + 0x0f, 0x4b, 0xd0, 0xc2, 0x5b, 0x6b, 0x56, 0xef, + 0x73, 0x93, 0x0b, 0xc3, 0xee, 0xd9, 0xcf, 0xd3, + 0xa4, 0x22, 0x58, 0xcd, 0x50, 0x6e, 0x65, 0xf4, + 0xe9, 0xb7, 0x71, 0xaf, 0x4b, 0xb3, 0xb6, 0x2f, + 0x0f, 0x0e, 0x3b, 0xc9, 0x85, 0x14, 0xf5, 0x17, + 0xe8, 0x7a, 0x3a, 0xbf, 0x5f, 0x5e, 0xf8, 0x18, + 0x48, 0xa6, 0x72, 0xab, 0x06, 0x95, 0xe9, 0xc8, + 0xa7, 0xf4, 0x32, 0x44, 0x04, 0x0c, 0x84, 0x98, + 0x73, 0xe3, 0x89, 0x8d, 0x5f, 0x7e, 0x4a, 0x42, + 0x8f, 0xc5, 0x28, 0xb1, 0x82, 0xef, 0x1c, 0x97, + 0x31, 0x3b, 0x4d, 0xe0, 0x0e, 0x10, 0x10, 0x97, + 0x93, 0x49, 0x78, 0x2f, 0x0d, 0x86, 0x8b, 0xa1, + 0x53, 0xa9, 0x81, 0x20, 0x79, 0xe7, 0x07, 0x77, + 0xb6, 0xac, 0x5e, 0xd2, 0x05, 0xcd, 0xe9, 0xdb, + 0x8a, 0x94, 0x82, 0x8a, 0x23, 0xb9, 0x3d, 0x1c, + 0xa9, 0x7d, 0x72, 0x4a, 0xed, 0x33, 0xa3, 0xdb, + 0x21, 0xa7, 0x86, 0x33, 0x45, 0xa5, 0xaa, 0x56, + 0x45, 0xb5, 0x83, 0x29, 0x40, 0x47, 0x79, 0x04, + 0x6e, 0xb9, 0x95, 0xd0, 0x81, 0x77, 0x2d, 0x48, + 0x1e, 0xfe, 0xc3, 0xc2, 0x1e, 0xe5, 0xf2, 0xbe, + 0xfd, 0x3b, 0x94, 0x9f, 0xc4, 0xc4, 0x26, 0x9d, + 0xe4, 0x66, 0x1e, 0x19, 0xee, 0x6c, 0x79, 0x97, + 0x11, 0x31, 0x4b, 0x0d, 0x01, 0xcb, 0xde, 0xa8, + 0xf6, 0x6d, 0x7c, 0x39, 0x46, 0x4e, 0x7e, 0x3f, + 0x94, 0x17, 0xdf, 0xa1, 0x7d, 0xd9, 0x1c, 0x8e, + 0xbc, 0x7d, 0x33, 0x7d, 0xe3, 0x12, 0x40, 0xca, + 0xab, 0x37, 0x11, 0x46, 0xd4, 0xae, 0xef, 0x44, + 0xa2, 0xb3, 0x6a, 0x66, 0x0e, 0x0c, 0x90, 0x7f, + 0xdf, 0x5c, 0x66, 0x5f, 0xf2, 0x94, 0x9f, 0xa6, + 0x73, 0x4f, 0xeb, 0x0d, 0xad, 0xbf, 0xc0, 0x63, + 0x5c, 0xdc, 0x46, 0x51, 0xe8, 0x8e, 0x90, 0x19, + 0xa8, 0xa4, 0x3c, 0x91, 0x79, 0xfa, 0x7e, 0x58, + 0x85, 0x13, 0x55, 0xc5, 0x19, 0x82, 0x37, 0x1b, + 0x0a, 0x02, 0x1f, 0x99, 0x6b, 0x18, 0xf1, 0x28, + 0x08, 0xa2, 0x73, 0xb8, 0x0f, 0x2e, 0xcd, 0xbf, + 0xf3, 0x86, 0x7f, 0xea, 0xef, 0xd0, 0xbb, 0xa6, + 0x21, 0xdf, 0x49, 0x73, 0x51, 0xcc, 0x36, 0xd3, + 0x3e, 0xa0, 0xf8, 0x44, 0xdf, 0xd3, 0xa6, 0xbe, + 0x8a, 0xd4, 0x57, 0xdd, 0x72, 0x94, 0x61, 0x0f, + 0x82, 0xd1, 0x07, 0xb8, 0x7c, 0x18, 0x83, 0xdf, + 0x3a, 0xe5, 0x50, 0x6a, 0x82, 0x20, 0xac, 0xa9, + 0xa8, 0xff, 0xd9, 0xf3, 0x77, 0x33, 0x5a, 0x9e, + 0x7f, 0x6d, 0xfe, 0x5d, 0x33, 0x41, 0x42, 0xe7, + 0x6c, 0x19, 0xe0, 0x44, 0x8a, 0x15, 0xf6, 0x70, + 0x98, 0xb7, 0x68, 0x4d, 0xfa, 0x97, 0x39, 0xb0, + 0x8e, 0xe8, 0x84, 0x8b, 0x75, 0x30, 0xb7, 0x7d, + 0x92, 0x69, 0x20, 0x9c, 0x81, 0xfb, 0x4b, 0xf4, + 0x01, 0x50, 0xeb, 0xce, 0x0c, 0x1c, 0x6c, 0xb5, + 0x4a, 0xd7, 0x27, 0x0c, 0xce, 0xbb, 0xe5, 0x85, + 0xf0, 0xb6, 0xee, 0xd5, 0x70, 0xdd, 0x3b, 0xfc, + 0xd4, 0x99, 0xf1, 0x33, 0xdd, 0x8b, 0xc4, 0x2f, + 0xae, 0xab, 0x74, 0x96, 0x32, 0xc7, 0x4c, 0x56, + 0x3c, 0x89, 0x0f, 0x96, 0x0b, 0x42, 0xc0, 0xcb, + 0xee, 0x0f, 0x0b, 0x8c, 0xfb, 0x7e, 0x47, 0x7b, + 0x64, 0x48, 0xfd, 0xb2, 0x00, 0x80, 0x89, 0xa5, + 0x13, 0x55, 0x62, 0xfc, 0x8f, 0xe2, 0x42, 0x03, + 0xb7, 0x4e, 0x2a, 0x79, 0xb4, 0x82, 0xea, 0x23, + 0x49, 0xda, 0xaf, 0x52, 0x63, 0x1e, 0x60, 0x03, + 0x89, 0x06, 0x44, 0x46, 0x08, 0xc3, 0xc4, 0x87, + 0x70, 0x2e, 0xda, 0x94, 0xad, 0x6b, 0xe0, 0xe4, + 0xd1, 0x8a, 0x06, 0xc2, 0xa8, 0xc0, 0xa7, 0x43, + 0x3c, 0x47, 0x52, 0x0e, 0xc3, 0x77, 0x81, 0x11, + 0x67, 0x0e, 0xa0, 0x70, 0x04, 0x47, 0x29, 0x40, + 0x86, 0x0d, 0x34, 0x56, 0xa7, 0xc9, 0x35, 0x59, + 0x68, 0xdc, 0x93, 0x81, 0x70, 0xee, 0x86, 0xd9, + 0x80, 0x06, 0x40, 0x4f, 0x1a, 0x0d, 0x40, 0x30, + 0x0b, 0xcb, 0x96, 0x47, 0xc1, 0xb7, 0x52, 0xfd, + 0x56, 0xe0, 0x72, 0x4b, 0xfb, 0xbd, 0x92, 0x45, + 0x61, 0x71, 0xc2, 0x33, 0x11, 0xbf, 0x52, 0x83, + 0x79, 0x26, 0xe0, 0x49, 0x6b, 0xb7, 0x05, 0x8b, + 0xe8, 0x0e, 0x87, 0x31, 0xd7, 0x9d, 0x8a, 0xf5, + 0xc0, 0x5f, 0x2e, 0x58, 0x4a, 0xdb, 0x11, 0xb3, + 0x6c, 0x30, 0x2a, 0x46, 0x19, 0xe3, 0x27, 0x84, + 0x1f, 0x63, 0x6e, 0xf6, 0x57, 0xc7, 0xc9, 0xd8, + 0x5e, 0xba, 0xb3, 0x87, 0xd5, 0x83, 0x26, 0x34, + 0x21, 0x9e, 0x65, 0xde, 0x42, 0xd3, 0xbe, 0x7b, + 0xbc, 0x91, 0x71, 0x44, 0x4d, 0x99, 0x3b, 0x31, + 0xe5, 0x3f, 0x11, 0x4e, 0x7f, 0x13, 0x51, 0x3b, + 0xae, 0x79, 0xc9, 0xd3, 0x81, 0x8e, 0x25, 0x40, + 0x10, 0xfc, 0x07, 0x1e, 0xf9, 0x7b, 0x9a, 0x4b, + 0x6c, 0xe3, 0xb3, 0xad, 0x1a, 0x0a, 0xdd, 0x9e, + 0x59, 0x0c, 0xa2, 0xcd, 0xae, 0x48, 0x4a, 0x38, + 0x5b, 0x47, 0x41, 0x94, 0x65, 0x6b, 0xbb, 0xeb, + 0x5b, 0xe3, 0xaf, 0x07, 0x5b, 0xd4, 0x4a, 0xa2, + 0xc9, 0x5d, 0x2f, 0x64, 0x03, 0xd7, 0x3a, 0x2c, + 0x6e, 0xce, 0x76, 0x95, 0xb4, 0xb3, 0xc0, 0xf1, + 0xe2, 0x45, 0x73, 0x7a, 0x5c, 0xab, 0xc1, 0xfc, + 0x02, 0x8d, 0x81, 0x29, 0xb3, 0xac, 0x07, 0xec, + 0x40, 0x7d, 0x45, 0xd9, 0x7a, 0x59, 0xee, 0x34, + 0xf0, 0xe9, 0xd5, 0x7b, 0x96, 0xb1, 0x3d, 0x95, + 0xcc, 0x86, 0xb5, 0xb6, 0x04, 0x2d, 0xb5, 0x92, + 0x7e, 0x76, 0xf4, 0x06, 0xa9, 0xa3, 0x12, 0x0f, + 0xb1, 0xaf, 0x26, 0xba, 0x7c, 0xfc, 0x7e, 0x1c, + 0xbc, 0x2c, 0x49, 0x97, 0x53, 0x60, 0x13, 0x0b, + 0xa6, 0x61, 0x83, 0x89, 0x42, 0xd4, 0x17, 0x0c, + 0x6c, 0x26, 0x52, 0xc3, 0xb3, 0xd4, 0x67, 0xf5, + 0xe3, 0x04, 0xb7, 0xf4, 0xcb, 0x80, 0xb8, 0xcb, + 0x77, 0x56, 0x3e, 0xaa, 0x57, 0x54, 0xee, 0xb4, + 0x2c, 0x67, 0xcf, 0xf2, 0xdc, 0xbe, 0x55, 0xf9, + 0x43, 0x1f, 0x6e, 0x22, 0x97, 0x67, 0x7f, 0xc4, + 0xef, 0xb1, 0x26, 0x31, 0x1e, 0x27, 0xdf, 0x41, + 0x80, 0x47, 0x6c, 0xe2, 0xfa, 0xa9, 0x8c, 0x2a, + 0xf6, 0xf2, 0xab, 0xf0, 0x15, 0xda, 0x6c, 0xc8, + 0xfe, 0xb5, 0x23, 0xde, 0xa9, 0x05, 0x3f, 0x06, + 0x54, 0x4c, 0xcd, 0xe1, 0xab, 0xfc, 0x0e, 0x62, + 0x33, 0x31, 0x73, 0x2c, 0x76, 0xcb, 0xb4, 0x47, + 0x1e, 0x20, 0xad, 0xd8, 0xf2, 0x31, 0xdd, 0xc4, + 0x8b, 0x0c, 0x77, 0xbe, 0xe1, 0x8b, 0x26, 0x00, + 0x02, 0x58, 0xd6, 0x8d, 0xef, 0xad, 0x74, 0x67, + 0xab, 0x3f, 0xef, 0xcb, 0x6f, 0xb0, 0xcc, 0x81, + 0x44, 0x4c, 0xaf, 0xe9, 0x49, 0x4f, 0xdb, 0xa0, + 0x25, 0xa4, 0xf0, 0x89, 0xf1, 0xbe, 0xd8, 0x10, + 0xff, 0xb1, 0x3b, 0x4b, 0xfa, 0x98, 0xf5, 0x79, + 0x6d, 0x1e, 0x69, 0x4d, 0x57, 0xb1, 0xc8, 0x19, + 0x1b, 0xbd, 0x1e, 0x8c, 0x84, 0xb7, 0x7b, 0xe8, + 0xd2, 0x2d, 0x09, 0x41, 0x41, 0x37, 0x3d, 0xb1, + 0x6f, 0x26, 0x5d, 0x71, 0x16, 0x3d, 0xb7, 0x83, + 0x27, 0x2c, 0xa7, 0xb6, 0x50, 0xbd, 0x91, 0x86, + 0xab, 0x24, 0xa1, 0x38, 0xfd, 0xea, 0x71, 0x55, + 0x7e, 0x9a, 0x07, 0x77, 0x4b, 0xfa, 0x61, 0x66, + 0x20, 0x1e, 0x28, 0x95, 0x18, 0x1b, 0xa4, 0xa0, + 0xfd, 0xc0, 0x89, 0x72, 0x43, 0xd9, 0x3b, 0x49, + 0x5a, 0x3f, 0x9d, 0xbf, 0xdb, 0xb4, 0x46, 0xea, + 0x42, 0x01, 0x77, 0x23, 0x68, 0x95, 0xb6, 0x24, + 0xb3, 0xa8, 0x6c, 0x28, 0x3b, 0x11, 0x40, 0x7e, + 0x18, 0x65, 0x6d, 0xd8, 0x24, 0x42, 0x7d, 0x88, + 0xc0, 0x52, 0xd9, 0x05, 0xe4, 0x95, 0x90, 0x87, + 0x8c, 0xf4, 0xd0, 0x6b, 0xb9, 0x83, 0x99, 0x34, + 0x6d, 0xfe, 0x54, 0x40, 0x94, 0x52, 0x21, 0x4f, + 0x14, 0x25, 0xc5, 0xd6, 0x5e, 0x95, 0xdc, 0x0a, + 0x2b, 0x89, 0x20, 0x11, 0x84, 0x48, 0xd6, 0x3a, + 0xcd, 0x5c, 0x24, 0xad, 0x62, 0xe3, 0xb1, 0x93, + 0x25, 0x8d, 0xcd, 0x7e, 0xfc, 0x27, 0xa3, 0x37, + 0xfd, 0x84, 0xfc, 0x1b, 0xb2, 0xf1, 0x27, 0x38, + 0x5a, 0xb7, 0xfc, 0xf2, 0xfa, 0x95, 0x66, 0xd4, + 0xfb, 0xba, 0xa7, 0xd7, 0xa3, 0x72, 0x69, 0x48, + 0x48, 0x8c, 0xeb, 0x28, 0x89, 0xfe, 0x33, 0x65, + 0x5a, 0x36, 0x01, 0x7e, 0x06, 0x79, 0x0a, 0x09, + 0x3b, 0x74, 0x11, 0x9a, 0x6e, 0xbf, 0xd4, 0x9e, + 0x58, 0x90, 0x49, 0x4f, 0x4d, 0x08, 0xd4, 0xe5, + 0x4a, 0x09, 0x21, 0xef, 0x8b, 0xb8, 0x74, 0x3b, + 0x91, 0xdd, 0x36, 0x85, 0x60, 0x2d, 0xfa, 0xd4, + 0x45, 0x7b, 0x45, 0x53, 0xf5, 0x47, 0x87, 0x7e, + 0xa6, 0x37, 0xc8, 0x78, 0x7a, 0x68, 0x9d, 0x8d, + 0x65, 0x2c, 0x0e, 0x91, 0x5c, 0xa2, 0x60, 0xf0, + 0x8e, 0x3f, 0xe9, 0x1a, 0xcd, 0xaa, 0xe7, 0xd5, + 0x77, 0x18, 0xaf, 0xc9, 0xbc, 0x18, 0xea, 0x48, + 0x1b, 0xfb, 0x22, 0x48, 0x70, 0x16, 0x29, 0x9e, + 0x5b, 0xc1, 0x2c, 0x66, 0x23, 0xbc, 0xf0, 0x1f, + 0xef, 0xaf, 0xe4, 0xd6, 0x04, 0x19, 0x82, 0x7a, + 0x0b, 0xba, 0x4b, 0x46, 0xb1, 0x6a, 0x85, 0x5d, + 0xb4, 0x73, 0xd6, 0x21, 0xa1, 0x71, 0x60, 0x14, + 0xee, 0x0a, 0x77, 0xc4, 0x66, 0x2e, 0xf9, 0x69, + 0x30, 0xaf, 0x41, 0x0b, 0xc8, 0x83, 0x3c, 0x53, + 0x99, 0x19, 0x27, 0x46, 0xf7, 0x41, 0x6e, 0x56, + 0xdc, 0x94, 0x28, 0x67, 0x4e, 0xb7, 0x25, 0x48, + 0x8a, 0xc2, 0xe0, 0x60, 0x96, 0xcc, 0x18, 0xf4, + 0x84, 0xdd, 0xa7, 0x5e, 0x3e, 0x05, 0x0b, 0x26, + 0x26, 0xb2, 0x5c, 0x1f, 0x57, 0x1a, 0x04, 0x7e, + 0x6a, 0xe3, 0x2f, 0xb4, 0x35, 0xb6, 0x38, 0x40, + 0x40, 0xcd, 0x6f, 0x87, 0x2e, 0xef, 0xa3, 0xd7, + 0xa9, 0xc2, 0xe8, 0x0d, 0x27, 0xdf, 0x44, 0x62, + 0x99, 0xa0, 0xfc, 0xcf, 0x81, 0x78, 0xcb, 0xfe, + 0xe5, 0xa0, 0x03, 0x4e, 0x6c, 0xd7, 0xf4, 0xaf, + 0x7a, 0xbb, 0x61, 0x82, 0xfe, 0x71, 0x89, 0xb2, + 0x22, 0x7c, 0x8e, 0x83, 0x04, 0xce, 0xf6, 0x5d, + 0x84, 0x8f, 0x95, 0x6a, 0x7f, 0xad, 0xfd, 0x32, + 0x9c, 0x5e, 0xe4, 0x9c, 0x89, 0x60, 0x54, 0xaa, + 0x96, 0x72, 0xd2, 0xd7, 0x36, 0x85, 0xa9, 0x45, + 0xd2, 0x2a, 0xa1, 0x81, 0x49, 0x6f, 0x7e, 0x04, + 0xfa, 0xe2, 0xfe, 0x90, 0x26, 0x77, 0x5a, 0x33, + 0xb8, 0x04, 0x9a, 0x7a, 0xe6, 0x4c, 0x4f, 0xad, + 0x72, 0x96, 0x08, 0x28, 0x58, 0x13, 0xf8, 0xc4, + 0x1c, 0xf0, 0xc3, 0x45, 0x95, 0x49, 0x20, 0x8c, + 0x9f, 0x39, 0x70, 0xe1, 0x77, 0xfe, 0xd5, 0x4b, + 0xaf, 0x86, 0xda, 0xef, 0x22, 0x06, 0x83, 0x36, + 0x29, 0x12, 0x11, 0x40, 0xbc, 0x3b, 0x86, 0xaa, + 0xaa, 0x65, 0x60, 0xc3, 0x80, 0xca, 0xed, 0xa9, + 0xf3, 0xb0, 0x79, 0x96, 0xa2, 0x55, 0x27, 0x28, + 0x55, 0x73, 0x26, 0xa5, 0x50, 0xea, 0x92, 0x4b, + 0x3c, 0x5c, 0x82, 0x33, 0xf0, 0x01, 0x3f, 0x03, + 0xc1, 0x08, 0x05, 0xbf, 0x98, 0xf4, 0x9b, 0x6d, + 0xa5, 0xa8, 0xb4, 0x82, 0x0c, 0x06, 0xfa, 0xff, + 0x2d, 0x08, 0xf3, 0x05, 0x4f, 0x57, 0x2a, 0x39, + 0xd4, 0x83, 0x0d, 0x75, 0x51, 0xd8, 0x5b, 0x1b, + 0xd3, 0x51, 0x5a, 0x32, 0x2a, 0x9b, 0x32, 0xb2, + 0xf2, 0xa4, 0x96, 0x12, 0xf2, 0xae, 0x40, 0x34, + 0x67, 0xa8, 0xf5, 0x44, 0xd5, 0x35, 0x53, 0xfe, + 0xa3, 0x60, 0x96, 0x63, 0x0f, 0x1f, 0x6e, 0xb0, + 0x5a, 0x42, 0xa6, 0xfc, 0x51, 0x0b, 0x60, 0x27, + 0xbc, 0x06, 0x71, 0xed, 0x65, 0x5b, 0x23, 0x86, + 0x4a, 0x07, 0x3b, 0x22, 0x07, 0x46, 0xe6, 0x90, + 0x3e, 0xf3, 0x25, 0x50, 0x1b, 0x4c, 0x7f, 0x03, + 0x08, 0xa8, 0x36, 0x6b, 0x87, 0xe5, 0xe3, 0xdb, + 0x9a, 0x38, 0x83, 0xff, 0x9f, 0x1a, 0x9f, 0x57, + 0xa4, 0x2a, 0xf6, 0x37, 0xbc, 0x1a, 0xff, 0xc9, + 0x1e, 0x35, 0x0c, 0xc3, 0x7c, 0xa3, 0xb2, 0xe5, + 0xd2, 0xc6, 0xb4, 0x57, 0x47, 0xe4, 0x32, 0x16, + 0x6d, 0xa9, 0xae, 0x64, 0xe6, 0x2d, 0x8d, 0xc5, + 0x8d, 0x50, 0x8e, 0xe8, 0x1a, 0x22, 0x34, 0x2a, + 0xd9, 0xeb, 0x51, 0x90, 0x4a, 0xb1, 0x41, 0x7d, + 0x64, 0xf9, 0xb9, 0x0d, 0xf6, 0x23, 0x33, 0xb0, + 0x33, 0xf4, 0xf7, 0x3f, 0x27, 0x84, 0xc6, 0x0f, + 0x54, 0xa5, 0xc0, 0x2e, 0xec, 0x0b, 0x3a, 0x48, + 0x6e, 0x80, 0x35, 0x81, 0x43, 0x9b, 0x90, 0xb1, + 0xd0, 0x2b, 0xea, 0x21, 0xdc, 0xda, 0x5b, 0x09, + 0xf4, 0xcc, 0x10, 0xb4, 0xc7, 0xfe, 0x79, 0x51, + 0xc3, 0xc5, 0xac, 0x88, 0x74, 0x84, 0x0b, 0x4b, + 0xca, 0x79, 0x16, 0x29, 0xfb, 0x69, 0x54, 0xdf, + 0x41, 0x7e, 0xe9, 0xc7, 0x8e, 0xea, 0xa5, 0xfe, + 0xfc, 0x76, 0x0e, 0x90, 0xc4, 0x92, 0x38, 0xad, + 0x7b, 0x48, 0xe6, 0x6e, 0xf7, 0x21, 0xfd, 0x4e, + 0x93, 0x0a, 0x7b, 0x41, 0x83, 0x68, 0xfb, 0x57, + 0x51, 0x76, 0x34, 0xa9, 0x6c, 0x00, 0xaa, 0x4f, + 0x66, 0x65, 0x98, 0x4a, 0x4f, 0xa3, 0xa0, 0xef, + 0x69, 0x3f, 0xe3, 0x1c, 0x92, 0x8c, 0xfd, 0xd8, + 0xe8, 0xde, 0x7c, 0x7f, 0x3e, 0x84, 0x8e, 0x69, + 0x3c, 0xf1, 0xf2, 0x05, 0x46, 0xdc, 0x2f, 0x9d, + 0x5e, 0x6e, 0x4c, 0xfb, 0xb5, 0x99, 0x2a, 0x59, + 0x63, 0xc1, 0x34, 0xbc, 0x57, 0xc0, 0x0d, 0xb9, + 0x61, 0x25, 0xf3, 0x33, 0x23, 0x51, 0xb6, 0x0d, + 0x07, 0xa6, 0xab, 0x94, 0x4a, 0xb7, 0x2a, 0xea, + 0xee, 0xac, 0xa3, 0xc3, 0x04, 0x8b, 0x0e, 0x56, + 0xfe, 0x44, 0xa7, 0x39, 0xe2, 0xed, 0xed, 0xb4, + 0x22, 0x2b, 0xac, 0x12, 0x32, 0x28, 0x91, 0xd8, + 0xa5, 0xab, 0xff, 0x5f, 0xe0, 0x4b, 0xda, 0x78, + 0x17, 0xda, 0xf1, 0x01, 0x5b, 0xcd, 0xe2, 0x5f, + 0x50, 0x45, 0x73, 0x2b, 0xe4, 0x76, 0x77, 0xf4, + 0x64, 0x1d, 0x43, 0xfb, 0x84, 0x7a, 0xea, 0x91, + 0xae, 0xf9, 0x9e, 0xb7, 0xb4, 0xb0, 0x91, 0x5f, + 0x16, 0x35, 0x9a, 0x11, 0xb8, 0xc7, 0xc1, 0x8c, + 0xc6, 0x10, 0x8d, 0x2f, 0x63, 0x4a, 0xa7, 0x57, + 0x3a, 0x51, 0xd6, 0x32, 0x2d, 0x64, 0x72, 0xd4, + 0x66, 0xdc, 0x10, 0xa6, 0x67, 0xd6, 0x04, 0x23, + 0x9d, 0x0a, 0x11, 0x77, 0xdd, 0x37, 0x94, 0x17, + 0x3c, 0xbf, 0x8b, 0x65, 0xb0, 0x2e, 0x5e, 0x66, + 0x47, 0x64, 0xac, 0xdd, 0xf0, 0x84, 0xfd, 0x39, + 0xfa, 0x15, 0x5d, 0xef, 0xae, 0xca, 0xc1, 0x36, + 0xa7, 0x5c, 0xbf, 0xc7, 0x08, 0xc2, 0x66, 0x00, + 0x74, 0x74, 0x4e, 0x27, 0x3f, 0x55, 0x8a, 0xb7, + 0x38, 0x66, 0x83, 0x6d, 0xcf, 0x99, 0x9e, 0x60, + 0x8f, 0xdd, 0x2e, 0x62, 0x22, 0x0e, 0xef, 0x0c, + 0x98, 0xa7, 0x85, 0x74, 0x3b, 0x9d, 0xec, 0x9e, + 0xa9, 0x19, 0x72, 0xa5, 0x7f, 0x2c, 0x39, 0xb7, + 0x7d, 0xb7, 0xf1, 0x12, 0x65, 0x27, 0x4b, 0x5a, + 0xde, 0x17, 0xfe, 0xad, 0x44, 0xf3, 0x20, 0x4d, + 0xfd, 0xe4, 0x1f, 0xb5, 0x81, 0xb0, 0x36, 0x37, + 0x08, 0x6f, 0xc3, 0x0c, 0xe9, 0x85, 0x98, 0x82, + 0xa9, 0x62, 0x0c, 0xc4, 0x97, 0xc0, 0x50, 0xc8, + 0xa7, 0x3c, 0x50, 0x9f, 0x43, 0xb9, 0xcd, 0x5e, + 0x4d, 0xfa, 0x1c, 0x4b, 0x0b, 0xa9, 0x98, 0x85, + 0x38, 0x92, 0xac, 0x8d, 0xe4, 0xad, 0x9b, 0x98, + 0xab, 0xd9, 0x38, 0xac, 0x62, 0x52, 0xa3, 0x22, + 0x63, 0x0f, 0xbf, 0x95, 0x48, 0xdf, 0x69, 0xe7, + 0x8b, 0x33, 0xd5, 0xb2, 0xbd, 0x05, 0x49, 0x49, + 0x9d, 0x57, 0x73, 0x19, 0x33, 0xae, 0xfa, 0x33, + 0xf1, 0x19, 0xa8, 0x80, 0xce, 0x04, 0x9f, 0xbc, + 0x1d, 0x65, 0x82, 0x1b, 0xe5, 0x3a, 0x51, 0xc8, + 0x1c, 0x21, 0xe3, 0x5d, 0xf3, 0x7d, 0x9b, 0x2f, + 0x2c, 0x1d, 0x4a, 0x7f, 0x9b, 0x68, 0x35, 0xa3, + 0xb2, 0x50, 0xf7, 0x62, 0x79, 0xcd, 0xf4, 0x98, + 0x4f, 0xe5, 0x63, 0x7c, 0x3e, 0x45, 0x31, 0x8c, + 0x16, 0xa0, 0x12, 0xc8, 0x58, 0xce, 0x39, 0xa6, + 0xbc, 0x54, 0xdb, 0xc5, 0xe0, 0xd5, 0xba, 0xbc, + 0xb9, 0x04, 0xf4, 0x8d, 0xe8, 0x2f, 0x15, 0x9d, +}; -#if 0 /*Not used at present */ -static void -buf_dump(char const *prefix, unsigned char const *buf, size_t len) +/* 100 test cases */ +static struct crc_test { + u32 crc; /* random starting crc */ + u32 start; /* random 6 bit offset in buf */ + u32 length; /* random 11 bit length of test */ + u32 crc_le; /* expected crc32_le result */ + u32 crc_be; /* expected crc32_be result */ + u32 crc32c_le; /* expected crc32c_le result */ +} test[] = { - fputs(prefix, stdout); - while (len--) - printf(" %02x", *buf++); - putchar('\n'); + {0x674bf11d, 0x00000038, 0x00000542, 0x0af6d466, 0xd8b6e4c1, + 0xf6e93d6c}, + {0x35c672c6, 0x0000003a, 0x000001aa, 0xc6d3dfba, 0x28aaf3ad, + 0x0fe92aca}, + {0x496da28e, 0x00000039, 0x000005af, 0xd933660f, 0x5d57e81f, + 0x52e1ebb8}, + {0x09a9b90e, 0x00000027, 0x000001f8, 0xb45fe007, 0xf45fca9a, + 0x0798af9a}, + {0xdc97e5a9, 0x00000025, 0x000003b6, 0xf81a3562, 0xe0126ba2, + 0x18eb3152}, + {0x47c58900, 0x0000000a, 0x000000b9, 0x8e58eccf, 0xf3afc793, + 0xd00d08c7}, + {0x292561e8, 0x0000000c, 0x00000403, 0xa2ba8aaf, 0x0b797aed, + 0x8ba966bc}, + {0x415037f6, 0x00000003, 0x00000676, 0xa17d52e8, 0x7f0fdf35, + 0x11d694a2}, + {0x3466e707, 0x00000026, 0x00000042, 0x258319be, 0x75c484a2, + 0x6ab3208d}, + {0xafd1281b, 0x00000023, 0x000002ee, 0x4428eaf8, 0x06c7ad10, + 0xba4603c5}, + {0xd3857b18, 0x00000028, 0x000004a2, 0x5c430821, 0xb062b7cb, + 0xe6071c6f}, + {0x1d825a8f, 0x0000002b, 0x0000050b, 0xd2c45f0c, 0xd68634e0, + 0x179ec30a}, + {0x5033e3bc, 0x0000000b, 0x00000078, 0xa3ea4113, 0xac6d31fb, + 0x0903beb8}, + {0x94f1fb5e, 0x0000000f, 0x000003a2, 0xfbfc50b1, 0x3cfe50ed, + 0x6a7cb4fa}, + {0xc9a0fe14, 0x00000009, 0x00000473, 0x5fb61894, 0x87070591, + 0xdb535801}, + {0x88a034b1, 0x0000001c, 0x000005ad, 0xc1b16053, 0x46f95c67, + 0x92bed597}, + {0xf0f72239, 0x00000020, 0x0000026d, 0xa6fa58f3, 0xf8c2c1dd, + 0x192a3f1b}, + {0xcc20a5e3, 0x0000003b, 0x0000067a, 0x7740185a, 0x308b979a, + 0xccbaec1a}, + {0xce589c95, 0x0000002b, 0x00000641, 0xd055e987, 0x40aae25b, + 0x7eabae4d}, + {0x78edc885, 0x00000035, 0x000005be, 0xa39cb14b, 0x035b0d1f, + 0x28c72982}, + {0x9d40a377, 0x0000003b, 0x00000038, 0x1f47ccd2, 0x197fbc9d, + 0xc3cd4d18}, + {0x703d0e01, 0x0000003c, 0x000006f1, 0x88735e7c, 0xfed57c5a, + 0xbca8f0e7}, + {0x776bf505, 0x0000000f, 0x000005b2, 0x5cc4fc01, 0xf32efb97, + 0x713f60b3}, + {0x4a3e7854, 0x00000027, 0x000004b8, 0x8d923c82, 0x0cbfb4a2, + 0xebd08fd5}, + {0x209172dd, 0x0000003b, 0x00000356, 0xb89e9c2b, 0xd7868138, + 0x64406c59}, + {0x3ba4cc5b, 0x0000002f, 0x00000203, 0xe51601a9, 0x5b2a1032, + 0x7421890e}, + {0xfc62f297, 0x00000000, 0x00000079, 0x71a8e1a2, 0x5d88685f, + 0xe9347603}, + {0x64280b8b, 0x00000016, 0x000007ab, 0x0fa7a30c, 0xda3a455f, + 0x1bef9060}, + {0x97dd724b, 0x00000033, 0x000007ad, 0x5788b2f4, 0xd7326d32, + 0x34720072}, + {0x61394b52, 0x00000035, 0x00000571, 0xc66525f1, 0xcabe7fef, + 0x48310f59}, + {0x29b4faff, 0x00000024, 0x0000006e, 0xca13751e, 0x993648e0, + 0x783a4213}, + {0x29bfb1dc, 0x0000000b, 0x00000244, 0x436c43f7, 0x429f7a59, + 0x9e8efd41}, + {0x86ae934b, 0x00000035, 0x00000104, 0x0760ec93, 0x9cf7d0f4, + 0xfc3d34a5}, + {0xc4c1024e, 0x0000002e, 0x000006b1, 0x6516a3ec, 0x19321f9c, + 0x17a52ae2}, + {0x3287a80a, 0x00000026, 0x00000496, 0x0b257eb1, 0x754ebd51, + 0x886d935a}, + {0xa4db423e, 0x00000023, 0x0000045d, 0x9b3a66dc, 0x873e9f11, + 0xeaaeaeb2}, + {0x7a1078df, 0x00000015, 0x0000014a, 0x8c2484c5, 0x6a628659, + 0x8e900a4b}, + {0x6048bd5b, 0x00000006, 0x0000006a, 0x897e3559, 0xac9961af, + 0xd74662b1}, + {0xd8f9ea20, 0x0000003d, 0x00000277, 0x60eb905b, 0xed2aaf99, + 0xd26752ba}, + {0xea5ec3b4, 0x0000002a, 0x000004fe, 0x869965dc, 0x6c1f833b, + 0x8b1fcd62}, + {0x2dfb005d, 0x00000016, 0x00000345, 0x6a3b117e, 0xf05e8521, + 0xf54342fe}, + {0x5a214ade, 0x00000020, 0x000005b6, 0x467f70be, 0xcb22ccd3, + 0x5b95b988}, + {0xf0ab9cca, 0x00000032, 0x00000515, 0xed223df3, 0x7f3ef01d, + 0x2e1176be}, + {0x91b444f9, 0x0000002e, 0x000007f8, 0x84e9a983, 0x5676756f, + 0x66120546}, + {0x1b5d2ddb, 0x0000002e, 0x0000012c, 0xba638c4c, 0x3f42047b, + 0xf256a5cc}, + {0xd824d1bb, 0x0000003a, 0x000007b5, 0x6288653b, 0x3a3ebea0, + 0x4af1dd69}, + {0x0470180c, 0x00000034, 0x000001f0, 0x9d5b80d6, 0x3de08195, + 0x56f0a04a}, + {0xffaa3a3f, 0x00000036, 0x00000299, 0xf3a82ab8, 0x53e0c13d, + 0x74f6b6b2}, + {0x6406cfeb, 0x00000023, 0x00000600, 0xa920b8e8, 0xe4e2acf4, + 0x085951fd}, + {0xb24aaa38, 0x0000003e, 0x000004a1, 0x657cc328, 0x5077b2c3, + 0xc65387eb}, + {0x58b2ab7c, 0x00000039, 0x000002b4, 0x3a17ee7e, 0x9dcb3643, + 0x1ca9257b}, + {0x3db85970, 0x00000006, 0x000002b6, 0x95268b59, 0xb9812c10, + 0xfd196d76}, + {0x857830c5, 0x00000003, 0x00000590, 0x4ef439d5, 0xf042161d, + 0x5ef88339}, + {0xe1fcd978, 0x0000003e, 0x000007d8, 0xae8d8699, 0xce0a1ef5, + 0x2c3714d9}, + {0xb982a768, 0x00000016, 0x000006e0, 0x62fad3df, 0x5f8a067b, + 0x58576548}, + {0x1d581ce8, 0x0000001e, 0x0000058b, 0xf0f5da53, 0x26e39eee, + 0xfd7c57de}, + {0x2456719b, 0x00000025, 0x00000503, 0x4296ac64, 0xd50e4c14, + 0xd5fedd59}, + {0xfae6d8f2, 0x00000000, 0x0000055d, 0x057fdf2e, 0x2a31391a, + 0x1cc3b17b}, + {0xcba828e3, 0x00000039, 0x000002ce, 0xe3f22351, 0x8f00877b, + 0x270eed73}, + {0x13d25952, 0x0000000a, 0x0000072d, 0x76d4b4cc, 0x5eb67ec3, + 0x91ecbb11}, + {0x0342be3f, 0x00000015, 0x00000599, 0xec75d9f1, 0x9d4d2826, + 0x05ed8d0c}, + {0xeaa344e0, 0x00000014, 0x000004d8, 0x72a4c981, 0x2064ea06, + 0x0b09ad5b}, + {0xbbb52021, 0x0000003b, 0x00000272, 0x04af99fc, 0xaf042d35, + 0xf8d511fb}, + {0xb66384dc, 0x0000001d, 0x000007fc, 0xd7629116, 0x782bd801, + 0x5ad832cc}, + {0x616c01b6, 0x00000022, 0x000002c8, 0x5b1dab30, 0x783ce7d2, + 0x1214d196}, + {0xce2bdaad, 0x00000016, 0x0000062a, 0x932535c8, 0x3f02926d, + 0x5747218a}, + {0x00fe84d7, 0x00000005, 0x00000205, 0x850e50aa, 0x753d649c, + 0xde8f14de}, + {0xbebdcb4c, 0x00000006, 0x0000055d, 0xbeaa37a2, 0x2d8c9eba, + 0x3563b7b9}, + {0xd8b1a02a, 0x00000010, 0x00000387, 0x5017d2fc, 0x503541a5, + 0x071475d0}, + {0x3b96cad2, 0x00000036, 0x00000347, 0x1d2372ae, 0x926cd90b, + 0x54c79d60}, + {0xc94c1ed7, 0x00000005, 0x0000038b, 0x9e9fdb22, 0x144a9178, + 0x4c53eee6}, + {0x1aad454e, 0x00000025, 0x000002b2, 0xc3f6315c, 0x5c7a35b3, + 0x10137a3c}, + {0xa4fec9a6, 0x00000000, 0x000006d6, 0x90be5080, 0xa4107605, + 0xaa9d6c73}, + {0x1bbe71e2, 0x0000001f, 0x000002fd, 0x4e504c3b, 0x284ccaf1, + 0xb63d23e7}, + {0x4201c7e4, 0x00000002, 0x000002b7, 0x7822e3f9, 0x0cc912a9, + 0x7f53e9cf}, + {0x23fddc96, 0x00000003, 0x00000627, 0x8a385125, 0x07767e78, + 0x13c1cd83}, + {0xd82ba25c, 0x00000016, 0x0000063e, 0x98e4148a, 0x283330c9, + 0x49ff5867}, + {0x786f2032, 0x0000002d, 0x0000060f, 0xf201600a, 0xf561bfcd, + 0x8467f211}, + {0xfebe4e1f, 0x0000002a, 0x000004f2, 0x95e51961, 0xfd80dcab, + 0x3f9683b2}, + {0x1a6e0a39, 0x00000008, 0x00000672, 0x8af6c2a5, 0x78dd84cb, + 0x76a3f874}, + {0x56000ab8, 0x0000000e, 0x000000e5, 0x36bacb8f, 0x22ee1f77, + 0x863b702f}, + {0x4717fe0c, 0x00000000, 0x000006ec, 0x8439f342, 0x5c8e03da, + 0xdc6c58ff}, + {0xd5d5d68e, 0x0000003c, 0x000003a3, 0x46fff083, 0x177d1b39, + 0x0622cc95}, + {0xc25dd6c6, 0x00000024, 0x000006c0, 0x5ceb8eb4, 0x892b0d16, + 0xe85605cd}, + {0xe9b11300, 0x00000023, 0x00000683, 0x07a5d59a, 0x6c6a3208, + 0x31da5f06}, + {0x95cd285e, 0x00000001, 0x00000047, 0x7b3a4368, 0x0202c07e, + 0xa1f2e784}, + {0xd9245a25, 0x0000001e, 0x000003a6, 0xd33c1841, 0x1936c0d5, + 0xb07cc616}, + {0x103279db, 0x00000006, 0x0000039b, 0xca09b8a0, 0x77d62892, + 0xbf943b6c}, + {0x1cba3172, 0x00000027, 0x000001c8, 0xcb377194, 0xebe682db, + 0x2c01af1c}, + {0x8f613739, 0x0000000c, 0x000001df, 0xb4b0bc87, 0x7710bd43, + 0x0fe5f56d}, + {0x1c6aa90d, 0x0000001b, 0x0000053c, 0x70559245, 0xda7894ac, + 0xf8943b2d}, + {0xaabe5b93, 0x0000003d, 0x00000715, 0xcdbf42fa, 0x0c3b99e7, + 0xe4d89272}, + {0xf15dd038, 0x00000006, 0x000006db, 0x6e104aea, 0x8d5967f2, + 0x7c2f6bbb}, + {0x584dd49c, 0x00000020, 0x000007bc, 0x36b6cfd6, 0xad4e23b2, + 0xabbf388b}, + {0x5d8c9506, 0x00000020, 0x00000470, 0x4c62378e, 0x31d92640, + 0x1dca1f4e}, + {0xb80d17b0, 0x00000032, 0x00000346, 0x22a5bb88, 0x9a7ec89f, + 0x5c170e23}, + {0xdaf0592e, 0x00000023, 0x000007b0, 0x3cab3f99, 0x9b1fdd99, + 0xc0e9d672}, + {0x4793cc85, 0x0000000d, 0x00000706, 0xe82e04f6, 0xed3db6b7, + 0xc18bdc86}, + {0x82ebf64e, 0x00000009, 0x000007c3, 0x69d590a9, 0x9efa8499, + 0xa874fcdd}, + {0xb18a0319, 0x00000026, 0x000007db, 0x1cf98dcc, 0x8fa9ad6a, + 0x9dc0bb48}, +}; -} -#endif +#include <linux/time.h> -static void bytereverse(unsigned char *buf, size_t len) +static int __init crc32c_test(void) { - while (len--) { - unsigned char x = bitrev8(*buf); - *buf++ = x; + int i; + int errors = 0; + int bytes = 0; + struct timespec start, stop; + u64 nsec; + unsigned long flags; + + /* keep static to prevent cache warming code from + * getting eliminated by the compiler */ + static u32 crc; + + /* pre-warm the cache */ + for (i = 0; i < 100; i++) { + bytes += 2*test[i].length; + + crc ^= __crc32c_le(test[i].crc, test_buf + + test[i].start, test[i].length); } -} -static void random_garbage(unsigned char *buf, size_t len) -{ - while (len--) - *buf++ = (unsigned char) random(); -} + /* reduce OS noise */ + local_irq_save(flags); + local_irq_disable(); -#if 0 /* Not used at present */ -static void store_le(u32 x, unsigned char *buf) -{ - buf[0] = (unsigned char) x; - buf[1] = (unsigned char) (x >> 8); - buf[2] = (unsigned char) (x >> 16); - buf[3] = (unsigned char) (x >> 24); -} -#endif + getnstimeofday(&start); + for (i = 0; i < 100; i++) { + if (test[i].crc32c_le != __crc32c_le(test[i].crc, test_buf + + test[i].start, test[i].length)) + errors++; + } + getnstimeofday(&stop); -static void store_be(u32 x, unsigned char *buf) -{ - buf[0] = (unsigned char) (x >> 24); - buf[1] = (unsigned char) (x >> 16); - buf[2] = (unsigned char) (x >> 8); - buf[3] = (unsigned char) x; + local_irq_restore(flags); + local_irq_enable(); + + nsec = stop.tv_nsec - start.tv_nsec + + 1000000000 * (stop.tv_sec - start.tv_sec); + + pr_info("crc32c: CRC_LE_BITS = %d\n", CRC_LE_BITS); + + if (errors) + pr_warn("crc32c: %d self tests failed\n", errors); + else { + pr_info("crc32c: self tests passed, processed %d bytes in %lld nsec\n", + bytes, nsec); + } + + return 0; } -/* - * This checks that CRC(buf + CRC(buf)) = 0, and that - * CRC commutes with bit-reversal. This has the side effect - * of bytewise bit-reversing the input buffer, and returns - * the CRC of the reversed buffer. - */ -static u32 test_step(u32 init, unsigned char *buf, size_t len) +static int __init crc32_test(void) { - u32 crc1, crc2; - size_t i; + int i; + int errors = 0; + int bytes = 0; + struct timespec start, stop; + u64 nsec; + unsigned long flags; + + /* keep static to prevent cache warming code from + * getting eliminated by the compiler */ + static u32 crc; + + /* pre-warm the cache */ + for (i = 0; i < 100; i++) { + bytes += 2*test[i].length; - crc1 = crc32_be(init, buf, len); - store_be(crc1, buf + len); - crc2 = crc32_be(init, buf, len + 4); - if (crc2) - printf("\nCRC cancellation fail: 0x%08x should be 0\n", - crc2); - - for (i = 0; i <= len + 4; i++) { - crc2 = crc32_be(init, buf, i); - crc2 = crc32_be(crc2, buf + i, len + 4 - i); - if (crc2) - printf("\nCRC split fail: 0x%08x\n", crc2); + crc ^= crc32_le(test[i].crc, test_buf + + test[i].start, test[i].length); + + crc ^= crc32_be(test[i].crc, test_buf + + test[i].start, test[i].length); } - /* Now swap it around for the other test */ - - bytereverse(buf, len + 4); - init = bitrev32(init); - crc2 = bitrev32(crc1); - if (crc1 != bitrev32(crc2)) - printf("\nBit reversal fail: 0x%08x -> 0x%08x -> 0x%08x\n", - crc1, crc2, bitrev32(crc2)); - crc1 = crc32_le(init, buf, len); - if (crc1 != crc2) - printf("\nCRC endianness fail: 0x%08x != 0x%08x\n", crc1, - crc2); - crc2 = crc32_le(init, buf, len + 4); - if (crc2) - printf("\nCRC cancellation fail: 0x%08x should be 0\n", - crc2); - - for (i = 0; i <= len + 4; i++) { - crc2 = crc32_le(init, buf, i); - crc2 = crc32_le(crc2, buf + i, len + 4 - i); - if (crc2) - printf("\nCRC split fail: 0x%08x\n", crc2); + /* reduce OS noise */ + local_irq_save(flags); + local_irq_disable(); + + getnstimeofday(&start); + for (i = 0; i < 100; i++) { + if (test[i].crc_le != crc32_le(test[i].crc, test_buf + + test[i].start, test[i].length)) + errors++; + + if (test[i].crc_be != crc32_be(test[i].crc, test_buf + + test[i].start, test[i].length)) + errors++; } + getnstimeofday(&stop); - return crc1; -} + local_irq_restore(flags); + local_irq_enable(); -#define SIZE 64 -#define INIT1 0 -#define INIT2 0 + nsec = stop.tv_nsec - start.tv_nsec + + 1000000000 * (stop.tv_sec - start.tv_sec); -int main(void) -{ - unsigned char buf1[SIZE + 4]; - unsigned char buf2[SIZE + 4]; - unsigned char buf3[SIZE + 4]; - int i, j; - u32 crc1, crc2, crc3; - - for (i = 0; i <= SIZE; i++) { - printf("\rTesting length %d...", i); - fflush(stdout); - random_garbage(buf1, i); - random_garbage(buf2, i); - for (j = 0; j < i; j++) - buf3[j] = buf1[j] ^ buf2[j]; - - crc1 = test_step(INIT1, buf1, i); - crc2 = test_step(INIT2, buf2, i); - /* Now check that CRC(buf1 ^ buf2) = CRC(buf1) ^ CRC(buf2) */ - crc3 = test_step(INIT1 ^ INIT2, buf3, i); - if (crc3 != (crc1 ^ crc2)) - printf("CRC XOR fail: 0x%08x != 0x%08x ^ 0x%08x\n", - crc3, crc1, crc2); + pr_info("crc32: CRC_LE_BITS = %d, CRC_BE BITS = %d\n", + CRC_LE_BITS, CRC_BE_BITS); + + if (errors) + pr_warn("crc32: %d self tests failed\n", errors); + else { + pr_info("crc32: self tests passed, processed %d bytes in %lld nsec\n", + bytes, nsec); } - printf("\nAll test complete. No failures expected.\n"); + return 0; } -#endif /* UNITTEST */ +static int __init crc32test_init(void) +{ + crc32_test(); + crc32c_test(); + return 0; +} + +static void __exit crc32_exit(void) +{ +} + +module_init(crc32test_init); +module_exit(crc32_exit); +#endif /* CONFIG_CRC32_SELFTEST */ |