[patch v5 1/8] crc32-add-pointer-to-tab.diff

[patch v5 1/8] crc32-add-pointer-to-tab.diff

[Bob Pearson]

replace 2D array references by pointer references in loops

Signed-off-by: Bob Pearson <rpearson@systemfabricworks.com>

---
 lib/crc32.c |   21 +++++++++++----------
 1 file changed, 11 insertions(+), 10 deletions(-)

Index: infiniband/lib/crc32.c
===================================================================
--- infiniband.orig/lib/crc32.c
+++ infiniband/lib/crc32.c
@@ -51,20 +51,21 @@ 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 = tab[0][(crc ^ (x)) & 255] ^ (crc >> 8)
-#  define DO_CRC4 crc = tab[3][(crc) & 255] ^ \
-		tab[2][(crc >> 8) & 255] ^ \
-		tab[1][(crc >> 16) & 255] ^ \
-		tab[0][(crc >> 24) & 255]
+#  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]
 # else
-#  define DO_CRC(x) crc = tab[0][((crc >> 24) ^ (x)) & 255] ^ (crc << 8)
-#  define DO_CRC4 crc = tab[0][(crc) & 255] ^ \
-		tab[1][(crc >> 8) & 255] ^ \
-		tab[2][(crc >> 16) & 255] ^ \
-		tab[3][(crc >> 24) & 255]
+#  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]
 # endif
 	const u32 *b;
 	size_t    rem_len;
+	const u32 *t0 = tab[0], *t1 = tab[1], *t2 = tab[2], *t3 = tab[3];
  	/* Align it */
 	if (unlikely((long)buf & 3 && len)) {

[patch v5 2/8] crc32-move-to-documentation.diff

[Bob Pearson]

Moved a nice but long comment from lib/crc32.c to Documentation/crc32.txt
where it will more likely get read.

Edited the resulting document to add an explanation of the slicing-by-n
algorithm.

Signed-off-by: George Spelvin <linux@horizon.com>
Signed-off-by: Bob Pearson <rpearson@systemfabricworks.com>

---
 Documentation/00-INDEX  |    2  Documentation/crc32.txt |  183 ++++++++++++++++++++++++++++++++++++++++++++++++
 lib/crc32.c             |  127 ---------------------------------
 3 files changed, 185 insertions(+), 127 deletions(-)

Index: infiniband/lib/crc32.c
===================================================================
--- infiniband.orig/lib/crc32.c
+++ infiniband/lib/crc32.c
@@ -209,133 +209,6 @@ u32 __pure crc32_be(u32 crc, unsigned ch
 EXPORT_SYMBOL(crc32_le);
 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
  #include <stdlib.h>
Index: infiniband/Documentation/crc32.txt
===================================================================
--- /dev/null
+++ infiniband/Documentation/crc32.txt
@@ -0,0 +1,183 @@
+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.
+
+Like all division, the remainder is always smaller than the divisor.
+To produce a 32-bit CRC, the divisor is actually a 33-bit CRC polynomial.
+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, you proceed one digit (bit) at a time.
+Each step of the division, 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, this is 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,
+
+These details lead to a standard trick: rearrange 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 particularly simple:
+for (i = 0; i < input_bits; i++) {
+	remainder ^= next_input_bit();
+	multiple = (remainder & 1) ? CRCPOLY : 0;
+	remainder = (remainder >> 1) ^ multiple;
+}
+
+The most significant coefficient of the remainder polynomial is stored
+in the least significant bit of the binary "remainder" variable.
+The other details of endianness have been hidden in CRCPOLY (which must
+be bit-reversed) and next_input_bit().
+
+As long as next_input_bit is returning the bits in a sensible order, we don't
+*have* to wait until the last possible moment to merge in additional bits.
+We can do it 8 bits at a time rather than 1 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.
+
+To reduce the number of conditional branches, software commonly uses
+the byte-at-a-time table method, popularized by Dilip V. Sarwate,
+"Computation of Cyclic Redundancy Checks via Table Look-Up", Comm. ACM
+v.31 no.8 (August 1998) p. 1008-1013.
+
+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,
+and the correct multiple of the polynomial to subtract is found using
+a 256-entry lookup table indexed by the high 8 bits.
+
+(The table entries are simply the CRC-32 of the given one-byte messages.)
+
+When space is more constrained, smaller tables can be used, e.g. two
+4-bit shifts followed by a lookup in a 16-entry table.
+
+It is not practical to process much more than 8 bits at a time using this
+technique, because tables larger than 256 entries use too much memory and,
+more importantly, too much of the L1 cache.
+
+To get higher software performance, a "slicing" technique can be used.
+See "High Octane CRC Generation with the Intel Slicing-by-8 Algorithm",
+ftp://download.intel.com/technology/comms/perfnet/download/slicing-by-8.pdf
+
+This does not change the number of table lookups, but does increase
+the parallelism.  With the classic Sarwate algorithm, each table lookup
+must be completed before the index of the next can be computed.
+
+A "slicing by 2" technique would shift the remainder 16 bits at a time,
+producing a 48-bit intermediate remainder.  Rather than doing a single
+lookup in a 65536-entry table, the two high bytes are looked up in
+two different 256-entry tables.  Each contains the remainder required
+to cancel out the corresponding byte.  The tables are different because the
+polynomials to cancel are different.  One has non-zero coefficients from
+x^32 to x^39, while the other goes from x^40 to x^47.
+
+Since modern processors can handle many parallel memory operations, this
+takes barely longer than a single table look-up and thus performs almost
+twice as fast as the basic Sarwate algorithm.
+
+This can be extended to "slicing by 4" using 4 256-entry tables.
+Each step, 32 bits of data is fetched, XORed with the CRC, and the result
+broken into bytes and looked up in the tables.  Because the 32-bit shift
+leaves the low-order bits of the intermediate remainder zero, the
+final CRC is simply the XOR of the 4 table look-ups.
+
+But this still enforces sequential execution: a second group of table
+look-ups cannot begin until the previous groups 4 table look-ups have all
+been completed.  Thus, the processor's load/store unit is sometimes idle.
+
+To make maximum use of the processor, "slicing by 8" performs 8 look-ups
+in parallel.  Each step, the 32-bit CRC is shifted 64 bits and XORed
+with 64 bits of input data.  What is important to note is that 4 of
+those 8 bytes are simply copies of the input data; they do not depend
+on the previous CRC at all.  Thus, those 4 table look-ups may commence
+immediately, without waiting for the previous loop iteration.
+
+By always having 4 loads in flight, a modern superscalar processor can
+be kept busy and make full use of its L1 cache.
+
+Two more details about CRC implementation in the real world:
+
+Normally, appending zero bits to a message which is already a multiple
+of a polynomial produces a larger multiple of that polynomial.  Thus,
+a basic CRC will not detect appended zero bits (or bytes).  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 CRC of the inversion
+pattern, 0xffffffff.)
+
+The same problem applies to zero bits prepended to the message, and a
+similar solution is used.  Instead of starting the CRC computation 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.
+
Index: infiniband/Documentation/00-INDEX
===================================================================
--- infiniband.orig/Documentation/00-INDEX
+++ infiniband/Documentation/00-INDEX
@@ -104,6 +104,8 @@ cpuidle/
 	- info on CPU_IDLE, CPU idle state management subsystem.
 cputopology.txt
 	- documentation on how CPU topology info is exported via sysfs.
+crc32.txt
+	- brief tutorial on CRC computation
 cris/
 	- directory with info about Linux on CRIS architecture.
 crypto/

[patch v5 3/8] crc32-replace-self-test.diff

[Bob Pearson]

Replaced the unit test provided in crc32.c, which doesn't have a
makefile and doesn't compile with current headers, with a simpler
self test routine that also gives a measure of performance and
runs at module init time. The self test option can be enabled
through a configuration option CONFIG_CRC32_SELFTEST.

The test stresses the pre and post loops and is thus not very
realistic since actual uses will likely have addresses and lengths
that are at least 4 byte aligned. The typical main loop is long
enough so that the performance is dominated by that loop.

The expected values for crc32_le and crc32_be were generated
with the previous version of crc32.c using CRC_BITS_LE = 32 and
CRC_BITS_BE = 32. These values were then used to check all the
values of the BITS parameters.

Signed-off-by: Bob Pearson <rpearson@systemfabricworks.com>

---
 lib/Kconfig |   10  lib/crc32.c |  794 +++++++++++++++++++++++++++++++++++++++++++++++++++---------
 2 files changed, 689 insertions(+), 115 deletions(-)

Index: infiniband/lib/crc32.c
===================================================================
--- infiniband.orig/lib/crc32.c
+++ infiniband/lib/crc32.c
@@ -209,137 +209,701 @@ u32 __pure crc32_be(u32 crc, unsigned ch
 EXPORT_SYMBOL(crc32_le);
 EXPORT_SYMBOL(crc32_be);
 -#ifdef UNITTEST
+#ifdef CONFIG_CRC32_SELFTEST
 -#include <stdlib.h>
-#include <stdio.h>
-
-#if 0				/*Not used at present */
-static void
-buf_dump(char const *prefix, unsigned char const *buf, size_t len)
+/* 4096 random bytes */
+static u8 __attribute__((__aligned__(8))) test_buf[] =
 {
-	fputs(prefix, stdout);
-	while (len--)
-		printf(" %02x", *buf++);
-	putchar('\n');
-
-}
-#endif
-
-static void bytereverse(unsigned char *buf, size_t len)
+	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,
+};
+
+/* 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 */
+} test[] =
 {
-	while (len--) {
-		unsigned char x = bitrev8(*buf);
-		*buf++ = x;
-	}
-}
+	{0x674bf11d, 0x00000038, 0x00000542, 0x0af6d466, 0xd8b6e4c1},
+	{0x35c672c6, 0x0000003a, 0x000001aa, 0xc6d3dfba, 0x28aaf3ad},
+	{0x496da28e, 0x00000039, 0x000005af, 0xd933660f, 0x5d57e81f},
+	{0x09a9b90e, 0x00000027, 0x000001f8, 0xb45fe007, 0xf45fca9a},
+	{0xdc97e5a9, 0x00000025, 0x000003b6, 0xf81a3562, 0xe0126ba2},
+	{0x47c58900, 0x0000000a, 0x000000b9, 0x8e58eccf, 0xf3afc793},
+	{0x292561e8, 0x0000000c, 0x00000403, 0xa2ba8aaf, 0x0b797aed},
+	{0x415037f6, 0x00000003, 0x00000676, 0xa17d52e8, 0x7f0fdf35},
+	{0x3466e707, 0x00000026, 0x00000042, 0x258319be, 0x75c484a2},
+	{0xafd1281b, 0x00000023, 0x000002ee, 0x4428eaf8, 0x06c7ad10},
+	{0xd3857b18, 0x00000028, 0x000004a2, 0x5c430821, 0xb062b7cb},
+	{0x1d825a8f, 0x0000002b, 0x0000050b, 0xd2c45f0c, 0xd68634e0},
+	{0x5033e3bc, 0x0000000b, 0x00000078, 0xa3ea4113, 0xac6d31fb},
+	{0x94f1fb5e, 0x0000000f, 0x000003a2, 0xfbfc50b1, 0x3cfe50ed},
+	{0xc9a0fe14, 0x00000009, 0x00000473, 0x5fb61894, 0x87070591},
+	{0x88a034b1, 0x0000001c, 0x000005ad, 0xc1b16053, 0x46f95c67},
+	{0xf0f72239, 0x00000020, 0x0000026d, 0xa6fa58f3, 0xf8c2c1dd},
+	{0xcc20a5e3, 0x0000003b, 0x0000067a, 0x7740185a, 0x308b979a},
+	{0xce589c95, 0x0000002b, 0x00000641, 0xd055e987, 0x40aae25b},
+	{0x78edc885, 0x00000035, 0x000005be, 0xa39cb14b, 0x035b0d1f},
+	{0x9d40a377, 0x0000003b, 0x00000038, 0x1f47ccd2, 0x197fbc9d},
+	{0x703d0e01, 0x0000003c, 0x000006f1, 0x88735e7c, 0xfed57c5a},
+	{0x776bf505, 0x0000000f, 0x000005b2, 0x5cc4fc01, 0xf32efb97},
+	{0x4a3e7854, 0x00000027, 0x000004b8, 0x8d923c82, 0x0cbfb4a2},
+	{0x209172dd, 0x0000003b, 0x00000356, 0xb89e9c2b, 0xd7868138},
+	{0x3ba4cc5b, 0x0000002f, 0x00000203, 0xe51601a9, 0x5b2a1032},
+	{0xfc62f297, 0x00000000, 0x00000079, 0x71a8e1a2, 0x5d88685f},
+	{0x64280b8b, 0x00000016, 0x000007ab, 0x0fa7a30c, 0xda3a455f},
+	{0x97dd724b, 0x00000033, 0x000007ad, 0x5788b2f4, 0xd7326d32},
+	{0x61394b52, 0x00000035, 0x00000571, 0xc66525f1, 0xcabe7fef},
+	{0x29b4faff, 0x00000024, 0x0000006e, 0xca13751e, 0x993648e0},
+	{0x29bfb1dc, 0x0000000b, 0x00000244, 0x436c43f7, 0x429f7a59},
+	{0x86ae934b, 0x00000035, 0x00000104, 0x0760ec93, 0x9cf7d0f4},
+	{0xc4c1024e, 0x0000002e, 0x000006b1, 0x6516a3ec, 0x19321f9c},
+	{0x3287a80a, 0x00000026, 0x00000496, 0x0b257eb1, 0x754ebd51},
+	{0xa4db423e, 0x00000023, 0x0000045d, 0x9b3a66dc, 0x873e9f11},
+	{0x7a1078df, 0x00000015, 0x0000014a, 0x8c2484c5, 0x6a628659},
+	{0x6048bd5b, 0x00000006, 0x0000006a, 0x897e3559, 0xac9961af},
+	{0xd8f9ea20, 0x0000003d, 0x00000277, 0x60eb905b, 0xed2aaf99},
+	{0xea5ec3b4, 0x0000002a, 0x000004fe, 0x869965dc, 0x6c1f833b},
+	{0x2dfb005d, 0x00000016, 0x00000345, 0x6a3b117e, 0xf05e8521},
+	{0x5a214ade, 0x00000020, 0x000005b6, 0x467f70be, 0xcb22ccd3},
+	{0xf0ab9cca, 0x00000032, 0x00000515, 0xed223df3, 0x7f3ef01d},
+	{0x91b444f9, 0x0000002e, 0x000007f8, 0x84e9a983, 0x5676756f},
+	{0x1b5d2ddb, 0x0000002e, 0x0000012c, 0xba638c4c, 0x3f42047b},
+	{0xd824d1bb, 0x0000003a, 0x000007b5, 0x6288653b, 0x3a3ebea0},
+	{0x0470180c, 0x00000034, 0x000001f0, 0x9d5b80d6, 0x3de08195},
+	{0xffaa3a3f, 0x00000036, 0x00000299, 0xf3a82ab8, 0x53e0c13d},
+	{0x6406cfeb, 0x00000023, 0x00000600, 0xa920b8e8, 0xe4e2acf4},
+	{0xb24aaa38, 0x0000003e, 0x000004a1, 0x657cc328, 0x5077b2c3},
+	{0x58b2ab7c, 0x00000039, 0x000002b4, 0x3a17ee7e, 0x9dcb3643},
+	{0x3db85970, 0x00000006, 0x000002b6, 0x95268b59, 0xb9812c10},
+	{0x857830c5, 0x00000003, 0x00000590, 0x4ef439d5, 0xf042161d},
+	{0xe1fcd978, 0x0000003e, 0x000007d8, 0xae8d8699, 0xce0a1ef5},
+	{0xb982a768, 0x00000016, 0x000006e0, 0x62fad3df, 0x5f8a067b},
+	{0x1d581ce8, 0x0000001e, 0x0000058b, 0xf0f5da53, 0x26e39eee},
+	{0x2456719b, 0x00000025, 0x00000503, 0x4296ac64, 0xd50e4c14},
+	{0xfae6d8f2, 0x00000000, 0x0000055d, 0x057fdf2e, 0x2a31391a},
+	{0xcba828e3, 0x00000039, 0x000002ce, 0xe3f22351, 0x8f00877b},
+	{0x13d25952, 0x0000000a, 0x0000072d, 0x76d4b4cc, 0x5eb67ec3},
+	{0x0342be3f, 0x00000015, 0x00000599, 0xec75d9f1, 0x9d4d2826},
+	{0xeaa344e0, 0x00000014, 0x000004d8, 0x72a4c981, 0x2064ea06},
+	{0xbbb52021, 0x0000003b, 0x00000272, 0x04af99fc, 0xaf042d35},
+	{0xb66384dc, 0x0000001d, 0x000007fc, 0xd7629116, 0x782bd801},
+	{0x616c01b6, 0x00000022, 0x000002c8, 0x5b1dab30, 0x783ce7d2},
+	{0xce2bdaad, 0x00000016, 0x0000062a, 0x932535c8, 0x3f02926d},
+	{0x00fe84d7, 0x00000005, 0x00000205, 0x850e50aa, 0x753d649c},
+	{0xbebdcb4c, 0x00000006, 0x0000055d, 0xbeaa37a2, 0x2d8c9eba},
+	{0xd8b1a02a, 0x00000010, 0x00000387, 0x5017d2fc, 0x503541a5},
+	{0x3b96cad2, 0x00000036, 0x00000347, 0x1d2372ae, 0x926cd90b},
+	{0xc94c1ed7, 0x00000005, 0x0000038b, 0x9e9fdb22, 0x144a9178},
+	{0x1aad454e, 0x00000025, 0x000002b2, 0xc3f6315c, 0x5c7a35b3},
+	{0xa4fec9a6, 0x00000000, 0x000006d6, 0x90be5080, 0xa4107605},
+	{0x1bbe71e2, 0x0000001f, 0x000002fd, 0x4e504c3b, 0x284ccaf1},
+	{0x4201c7e4, 0x00000002, 0x000002b7, 0x7822e3f9, 0x0cc912a9},
+	{0x23fddc96, 0x00000003, 0x00000627, 0x8a385125, 0x07767e78},
+	{0xd82ba25c, 0x00000016, 0x0000063e, 0x98e4148a, 0x283330c9},
+	{0x786f2032, 0x0000002d, 0x0000060f, 0xf201600a, 0xf561bfcd},
+	{0xfebe4e1f, 0x0000002a, 0x000004f2, 0x95e51961, 0xfd80dcab},
+	{0x1a6e0a39, 0x00000008, 0x00000672, 0x8af6c2a5, 0x78dd84cb},
+	{0x56000ab8, 0x0000000e, 0x000000e5, 0x36bacb8f, 0x22ee1f77},
+	{0x4717fe0c, 0x00000000, 0x000006ec, 0x8439f342, 0x5c8e03da},
+	{0xd5d5d68e, 0x0000003c, 0x000003a3, 0x46fff083, 0x177d1b39},
+	{0xc25dd6c6, 0x00000024, 0x000006c0, 0x5ceb8eb4, 0x892b0d16},
+	{0xe9b11300, 0x00000023, 0x00000683, 0x07a5d59a, 0x6c6a3208},
+	{0x95cd285e, 0x00000001, 0x00000047, 0x7b3a4368, 0x0202c07e},
+	{0xd9245a25, 0x0000001e, 0x000003a6, 0xd33c1841, 0x1936c0d5},
+	{0x103279db, 0x00000006, 0x0000039b, 0xca09b8a0, 0x77d62892},
+	{0x1cba3172, 0x00000027, 0x000001c8, 0xcb377194, 0xebe682db},
+	{0x8f613739, 0x0000000c, 0x000001df, 0xb4b0bc87, 0x7710bd43},
+	{0x1c6aa90d, 0x0000001b, 0x0000053c, 0x70559245, 0xda7894ac},
+	{0xaabe5b93, 0x0000003d, 0x00000715, 0xcdbf42fa, 0x0c3b99e7},
+	{0xf15dd038, 0x00000006, 0x000006db, 0x6e104aea, 0x8d5967f2},
+	{0x584dd49c, 0x00000020, 0x000007bc, 0x36b6cfd6, 0xad4e23b2},
+	{0x5d8c9506, 0x00000020, 0x00000470, 0x4c62378e, 0x31d92640},
+	{0xb80d17b0, 0x00000032, 0x00000346, 0x22a5bb88, 0x9a7ec89f},
+	{0xdaf0592e, 0x00000023, 0x000007b0, 0x3cab3f99, 0x9b1fdd99},
+	{0x4793cc85, 0x0000000d, 0x00000706, 0xe82e04f6, 0xed3db6b7},
+	{0x82ebf64e, 0x00000009, 0x000007c3, 0x69d590a9, 0x9efa8499},
+	{0xb18a0319, 0x00000026, 0x000007db, 0x1cf98dcc, 0x8fa9ad6a},
+};
 -static void random_garbage(unsigned char *buf, size_t len)
-{
-	while (len--)
-		*buf++ = (unsigned char) random();
-}
+#include <linux/time.h>
 -#if 0				/* Not used at present */
-static void store_le(u32 x, unsigned char *buf)
+static int __init crc32_init(void)
 {
-	buf[0] = (unsigned char) x;
-	buf[1] = (unsigned char) (x >> 8);
-	buf[2] = (unsigned char) (x >> 16);
-	buf[3] = (unsigned char) (x >> 24);
-}
-#endif
+	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;
 -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;
-}
+		crc ^= crc32_le(test[i].crc, test_buf +
+		    test[i].start, test[i].length);
 -/*
- * 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)
-{
-	u32 crc1, crc2;
-	size_t i;
+		crc ^= crc32_be(test[i].crc, test_buf +
+		    test[i].start, 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);
+	/* 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);
+
+	local_irq_restore(flags);
+	local_irq_enable();
 -	/* Now swap it around for the other test */
+	nsec = stop.tv_nsec - start.tv_nsec +
+		1000000000 * (stop.tv_sec - start.tv_sec);
 -	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);
+	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);
 	}
 -	return crc1;
+	return 0;
 }
 -#define SIZE 64
-#define INIT1 0
-#define INIT2 0
-
-int main(void)
+static void __exit crc32_exit(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);
-	}
-	printf("\nAll test complete.  No failures expected.\n");
-	return 0;
 }
 -#endif				/* UNITTEST */
+module_init(crc32_init);
+module_exit(crc32_exit);
+#endif /* CONFIG_CRC32_SELFTEST */
Index: infiniband/lib/Kconfig
===================================================================
--- infiniband.orig/lib/Kconfig
+++ infiniband/lib/Kconfig
@@ -60,6 +60,16 @@ config CRC32
 	  kernel tree does. Such modules that use library CRC32 functions
 	  require M here.
 +config CRC32_SELFTEST
+	bool "CRC32 perform self test on init"
+	default n
+	depends on CRC32
+	help
+	  This option enables the CRC32 library functions to perform a
+	  self test on initialization. The self test computes crc32_le
+	  and crc32_be over byte strings with random alignment and length
+	  and computes the total elapsed time and number of bytes processed.
+
 config CRC7
 	tristate "CRC7 functions"
 	help

[patch v5 4/8] crc32-misc-cleanup.diff

[Bob Pearson]

Misc cleanup of lib/crc32.c
	- removed unnecessary header files. If it passes sparse without
	  it I took it out.
	- straightened out some convoluted ifdef's
	- code incorrectly referenced 2D crc32table_le table as
	  crc32table_l(b)e[x] instead of crc32table_l(b)e[0][x] for
	  BITS = 2 & 4. This failed sparse.
	- a few trivial whitespace changes

Signed-off-by: Bob Pearson <rpearson@systemfabricworks.com>

---
 lib/crc32.c |  104 ++++++++++++++++++++----------------------------------------
 1 file changed, 36 insertions(+), 68 deletions(-)

Index: infiniband/lib/crc32.c
===================================================================
--- infiniband.orig/lib/crc32.c
+++ infiniband/lib/crc32.c
@@ -21,13 +21,10 @@
  */
  #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 <asm/atomic.h>
 #include "crc32defs.h"
+
 #if CRC_LE_BITS == 8
 # define tole(x) __constant_cpu_to_le32(x)
 #else
@@ -39,6 +36,7 @@
 #else
 # define tobe(x) (x)
 #endif
+
 #include "crc32table.h"
  MODULE_AUTHOR("Matt Domsch <Matt_Domsch@dell.com>");
@@ -94,6 +92,7 @@ crc32_body(u32 crc, unsigned char const  #undef DO_CRC4
 }
 #endif
+
 /**
  * crc32_le() - Calculate bitwise little-endian Ethernet AUTODIN II CRC32
  * @crc: seed value for computation.  ~0 for Ethernet, sometimes 0 for
@@ -101,53 +100,39 @@ crc32_body(u32 crc, unsigned char const   * @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)
 {
+#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);
 	}
-	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
+# elif CRC_LE_BITS == 2
 	while (len--) {
 		crc ^= *p++;
-		crc = (crc >> 4) ^ crc32table_le[crc & 15];
-		crc = (crc >> 4) ^ crc32table_le[crc & 15];
+		crc = (crc >> 2) ^ crc32table_le[0][crc & 3];
+		crc = (crc >> 2) ^ crc32table_le[0][crc & 3];
+		crc = (crc >> 2) ^ crc32table_le[0][crc & 3];
+		crc = (crc >> 2) ^ crc32table_le[0][crc & 3];
 	}
-	return crc;
-# elif CRC_LE_BITS == 2
+# elif CRC_LE_BITS == 4
 	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 >> 4) ^ crc32table_le[0][crc & 15];
+		crc = (crc >> 4) ^ crc32table_le[0][crc & 15];
 	}
+# elif CRC_LE_BITS == 8
+	const u32      (*tab)[] = crc32table_le;
+
+	crc = __cpu_to_le32(crc);
+	crc = crc32_body(crc, p, len, tab);
+	crc = __le32_to_cpu(crc);
+#endif
 	return crc;
-# endif
 }
-#endif
+EXPORT_SYMBOL(crc32_le);
  /**
  * crc32_be() - Calculate bitwise big-endian Ethernet AUTODIN II CRC32
@@ -156,16 +141,9 @@ u32 __pure crc32_le(u32 crc, unsigned ch
  * @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)
 {
+#if CRC_BE_BITS == 1
 	int i;
 	while (len--) {
 		crc ^= *p++ << 24;
@@ -174,39 +152,29 @@ u32 __pure crc32_be(u32 crc, unsigned ch
 			    (crc << 1) ^ ((crc & 0x80000000) ? CRCPOLY_BE :
 					  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 == 4
+# elif CRC_BE_BITS == 2
 	while (len--) {
 		crc ^= *p++ << 24;
-		crc = (crc << 4) ^ crc32table_be[crc >> 28];
-		crc = (crc << 4) ^ crc32table_be[crc >> 28];
+		crc = (crc << 2) ^ crc32table_be[0][crc >> 30];
+		crc = (crc << 2) ^ crc32table_be[0][crc >> 30];
+		crc = (crc << 2) ^ crc32table_be[0][crc >> 30];
+		crc = (crc << 2) ^ crc32table_be[0][crc >> 30];
 	}
-	return crc;
-# elif CRC_BE_BITS == 2
+# elif CRC_BE_BITS == 4
 	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 << 4) ^ crc32table_be[0][crc >> 28];
+		crc = (crc << 4) ^ crc32table_be[0][crc >> 28];
 	}
-	return crc;
+# elif CRC_BE_BITS == 8
+	const u32      (*tab)[] = crc32table_be;
+
+	crc = __cpu_to_be32(crc);
+	crc = crc32_body(crc, p, len, tab);
+	crc = __be32_to_cpu(crc);
 # endif
+	return crc;
 }
-#endif
-
-EXPORT_SYMBOL(crc32_le);
 EXPORT_SYMBOL(crc32_be);
  #ifdef CONFIG_CRC32_SELFTEST

[patch v5 5/8] crc32-fix-check-endian-warnings.diff

[Bob Pearson]

crc32.c freely mixes u32, __le32 and __be32 types. Fix warnings from
sparse with "-D__CHECK_ENDIAN__" by some emphatic casts.

Signed-off-by: Bob Pearson <rpearson@systemfabricworks.com>

---
 lib/crc32.c |   12 ++++++------
 1 file changed, 6 insertions(+), 6 deletions(-)

Index: infiniband/lib/crc32.c
===================================================================
--- infiniband.orig/lib/crc32.c
+++ infiniband/lib/crc32.c
@@ -26,13 +26,13 @@
 #include "crc32defs.h"
  #if CRC_LE_BITS == 8
-# define tole(x) __constant_cpu_to_le32(x)
+# 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)
+# define tobe(x) (__force u32) __constant_cpu_to_be32(x)
 #else
 # define tobe(x) (x)
 #endif
@@ -126,9 +126,9 @@ u32 __pure crc32_le(u32 crc, unsigned ch
 # elif CRC_LE_BITS == 8
 	const u32      (*tab)[] = crc32table_le;
 -	crc = __cpu_to_le32(crc);
+	crc = (__force u32) __cpu_to_le32(crc);
 	crc = crc32_body(crc, p, len, tab);
-	crc = __le32_to_cpu(crc);
+	crc = __le32_to_cpu((__force __le32)crc);
 #endif
 	return crc;
 }
@@ -169,9 +169,9 @@ u32 __pure crc32_be(u32 crc, unsigned ch
 # elif CRC_BE_BITS == 8
 	const u32      (*tab)[] = crc32table_be;
 -	crc = __cpu_to_be32(crc);
+	crc = (__force u32) __cpu_to_be32(crc);
 	crc = crc32_body(crc, p, len, tab);
-	crc = __be32_to_cpu(crc);
+	crc = __be32_to_cpu((__force __be32)crc);
 # endif
 	return crc;
 }

[patch v5 6/8] crc32-add-real-8-bit.diff

[Bob Pearson]

crc32.c encodes an algorithm that processes 32 bits at a time
with the value BITS = 8 and leaves out the most common 8 bit algorithm
for computing the crc. This patch reencodes the 32 bit algorithm
with the value 32 and adds back the 'standard' 8 bit algorithm.

Signed-off-by: Bob Pearson <rpearson@systemfabricworks.com>

---
 lib/crc32.c          |   17 ++++++++++++++---
 lib/crc32defs.h      |   18 ++++++++++--------
 lib/gen_crc32table.c |   15 ++++++++++++---
 3 files changed, 36 insertions(+), 14 deletions(-)

Index: infiniband/lib/crc32.c
===================================================================
--- infiniband.orig/lib/crc32.c
+++ infiniband/lib/crc32.c
@@ -25,13 +25,13 @@
 #include <linux/types.h>
 #include "crc32defs.h"
 -#if CRC_LE_BITS == 8
+#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
+#if CRC_BE_BITS > 8
 # define tobe(x) (__force u32) __constant_cpu_to_be32(x)
 #else
 # define tobe(x) (x)
@@ -43,7 +43,7 @@ MODULE_AUTHOR("Matt Domsch <Matt_Domsch@
 MODULE_DESCRIPTION("Ethernet CRC32 calculations");
 MODULE_LICENSE("GPL");
 -#if CRC_LE_BITS == 8 || CRC_BE_BITS == 8
+#if CRC_LE_BITS > 8 || CRC_BE_BITS > 8
  static inline u32
 crc32_body(u32 crc, unsigned char const *buf, size_t len, const u32 (*tab)[256])
@@ -124,6 +124,12 @@ u32 __pure crc32_le(u32 crc, unsigned ch
 		crc = (crc >> 4) ^ crc32table_le[0][crc & 15];
 	}
 # elif CRC_LE_BITS == 8
+	/* aka Sarwate algorithm */
+	while (len--) {
+		crc ^= *p++;
+		crc = (crc >> 8) ^ crc32table_le[0][crc & 255];
+	}
+# else
 	const u32      (*tab)[] = crc32table_le;
  	crc = (__force u32) __cpu_to_le32(crc);
@@ -167,6 +173,11 @@ u32 __pure crc32_be(u32 crc, unsigned ch
 		crc = (crc << 4) ^ crc32table_be[0][crc >> 28];
 	}
 # elif CRC_BE_BITS == 8
+	while (len--) {
+		crc ^= *p++ << 24;
+		crc = (crc << 8) ^ crc32table_be[0][crc >> 24];
+	}
+# else
 	const u32      (*tab)[] = crc32table_be;
  	crc = (__force u32) __cpu_to_be32(crc);
Index: infiniband/lib/crc32defs.h
===================================================================
--- infiniband.orig/lib/crc32defs.h
+++ infiniband/lib/crc32defs.h
@@ -6,27 +6,29 @@
 #define CRCPOLY_LE 0xedb88320
 #define CRCPOLY_BE 0x04c11db7
 -/* How many bits at a time to use.  Requires a table of 4<<CRC_xx_BITS bytes. */
-/* For less performance-sensitive, use 4 */
+/* How many bits at a time to use.  Valid values are 1, 2, 4, 8, and 32. */
+/* For less performance-sensitive, use 4 or 8 */
 #ifndef CRC_LE_BITS -# define CRC_LE_BITS 8
+# define CRC_LE_BITS 32
 #endif
 #ifndef CRC_BE_BITS
-# define CRC_BE_BITS 8
+# define CRC_BE_BITS 32
 #endif
  /*
  * Little-endian CRC computation.  Used with serial bit streams sent
  * lsbit-first.  Be sure to use cpu_to_le32() to append the computed CRC.
  */
-#if CRC_LE_BITS > 8 || CRC_LE_BITS < 1 || CRC_LE_BITS & CRC_LE_BITS-1
-# error CRC_LE_BITS must be a power of 2 between 1 and 8
+#if CRC_LE_BITS > 32 || CRC_LE_BITS < 1 || CRC_LE_BITS == 16 || \
+	CRC_LE_BITS & CRC_LE_BITS-1
+# error "CRC_LE_BITS must be one of {1, 2, 4, 8, 32}"
 #endif
  /*
  * Big-endian CRC computation.  Used with serial bit streams sent
  * msbit-first.  Be sure to use cpu_to_be32() to append the computed CRC.
  */
-#if CRC_BE_BITS > 8 || CRC_BE_BITS < 1 || CRC_BE_BITS & CRC_BE_BITS-1
-# error CRC_BE_BITS must be a power of 2 between 1 and 8
+#if CRC_BE_BITS > 32 || CRC_BE_BITS < 1 || CRC_BE_BITS == 16 || \
+	CRC_BE_BITS & CRC_BE_BITS-1
+# error "CRC_BE_BITS must be one of {1, 2, 4, 8, 32}"
 #endif
Index: infiniband/lib/gen_crc32table.c
===================================================================
--- infiniband.orig/lib/gen_crc32table.c
+++ infiniband/lib/gen_crc32table.c
@@ -4,11 +4,20 @@
  #define ENTRIES_PER_LINE 4
 +#if CRC_LE_BITS <= 8
 #define LE_TABLE_SIZE (1 << CRC_LE_BITS)
+#else
+#define LE_TABLE_SIZE 256
+#endif
+
+#if CRC_BE_BITS <= 8
 #define BE_TABLE_SIZE (1 << CRC_BE_BITS)
+#else
+#define BE_TABLE_SIZE 256
+#endif
 -static uint32_t crc32table_le[4][LE_TABLE_SIZE];
-static uint32_t crc32table_be[4][BE_TABLE_SIZE];
+static uint32_t crc32table_le[4][256];
+static uint32_t crc32table_be[4][256];
  /**
  * crc32init_le() - allocate and initialize LE table data
@@ -24,7 +33,7 @@ static void crc32init_le(void)
  	crc32table_le[0][0] = 0;
 -	for (i = 1 << (CRC_LE_BITS - 1); i; i >>= 1) {
+	for (i = LE_TABLE_SIZE >> 1; i; i >>= 1) {
 		crc = (crc >> 1) ^ ((crc & 1) ? CRCPOLY_LE : 0);
 		for (j = 0; j < LE_TABLE_SIZE; j += 2 * i)
 			crc32table_le[0][i + j] = crc ^ crc32table_le[0][j];

[patch v5 7/8] crc32-add-slicing-by-8.diff

[Bob Pearson]

extend add slicing-by-8 algorithm to the existing
slicing-by-4 algorithm. This consists of:

	- extend largest BITS size from 32 to 64
	- extend table from tab[4][256] to tab[8][256]
	- change algorithm to align on 8 byte boundary
	  (it was noted that all that is really required
	  is that the inner loop must comsume 8 bytes.
	  As written it can start on even or odd 4 byte
	  boundary.)
	- Add code for inner loop.

Signed-off-by: Bob Pearson <rpearson@systemfabricworks.com>

---
 lib/crc32.c          |   60 ++++++++++++++++++++++++++++++++++++++++++---------
 lib/crc32defs.h      |   14 +++++------
 lib/gen_crc32table.c |   40 ++++++++++++++++++++--------------
 3 files changed, 81 insertions(+), 33 deletions(-)

Index: infiniband/lib/crc32.c
===================================================================
--- infiniband.orig/lib/crc32.c
+++ infiniband/lib/crc32.c
@@ -45,6 +45,7 @@ MODULE_LICENSE("GPL");
  #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])
 {
@@ -54,42 +55,81 @@ crc32_body(u32 crc, unsigned char const  			t2[(crc >> 8) & 255] ^ \
 			t1[(crc >> 16) & 255] ^ \
 			t0[(crc >> 24) & 255]
+#  define DO_CRC8a (t7[(q) & 255] ^ \
+			t6[(q >> 8) & 255] ^ \
+			t5[(q >> 16) & 255] ^ \
+			t4[(q >> 24) & 255])
+#  define DO_CRC8b (t3[(q) & 255] ^ \
+			t2[(q >> 8) & 255] ^ \
+			t1[(q >> 16) & 255] ^ \
+			t0[(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_CRC8a (t4[(q) & 255] ^ \
+			t5[(q >> 8) & 255] ^ \
+			t6[(q >> 16) & 255] ^ \
+			t7[(q >> 24) & 255])
+#  define DO_CRC8b (t0[(q) & 255] ^ \
+			t1[(q >> 8) & 255] ^ \
+			t2[(q >> 16) & 255] ^ \
+			t3[(q >> 24) & 255])
 # endif
 	const u32 *b;
-	size_t    rem_len;
 	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];
+	size_t init_len;
+	size_t middle_len;
+	size_t rem_len;
+
+	/* break buf into init_len bytes before and
+	 * rem_len bytes after a middle section with
+	 * middle_len properly aligned words
+	 * note 8 byte loop need only be aligned on
+	 * a 4 byte boundary */
+	init_len = min((-((uintptr_t)buf)) & 3, len);
+# if CRC_LE_BITS == 32
+	middle_len = (len - init_len) >> 2;
+	rem_len = (len - init_len) & 3;
+# else
+	middle_len = (len - init_len) >> 3;
+	rem_len = (len - init_len) & 7;
+# endif
  	/* Align it */
-	if (unlikely((long)buf & 3 && len)) {
+	if (unlikely(init_len)) {
 		do {
 			DO_CRC(*buf++);
-		} while ((--len) && ((long)buf)&3);
+		} while (--init_len);
 	}
-	rem_len = len & 3;
-	/* load data 32 bits wide, xor data 32 bits wide. */
-	len = len >> 2;
 	b = (const u32 *)buf;
-	for (--b; len; --len) {
+	for (--b; middle_len; --middle_len) {
+# if CRC_LE_BITS == 32
 		crc ^= *++b; /* use pre increment for speed */
 		DO_CRC4;
+# else
+		u32 q;
+		q = crc ^ *++b;
+		crc = DO_CRC8a;
+		q = *++b;
+		crc ^= DO_CRC8b;
+# endif
 	}
-	len = rem_len;
 	/* And the last few bytes */
-	if (len) {
+	if (rem_len) {
 		u8 *p = (u8 *)(b + 1) - 1;
 		do {
 			DO_CRC(*++p); /* use pre increment for speed */
-		} while (--len);
+		} while (--rem_len);
 	}
 	return crc;
 #undef DO_CRC
 #undef DO_CRC4
+#undef DO_CRC8a
+#undef DO_CRC8b
 }
 #endif
 Index: infiniband/lib/crc32defs.h
===================================================================
--- infiniband.orig/lib/crc32defs.h
+++ infiniband/lib/crc32defs.h
@@ -6,29 +6,29 @@
 #define CRCPOLY_LE 0xedb88320
 #define CRCPOLY_BE 0x04c11db7
 -/* How many bits at a time to use.  Valid values are 1, 2, 4, 8, and 32. */
+/* How many bits at a time to use.  Valid values are 1, 2, 4, 8, 32 and 64. */
 /* For less performance-sensitive, use 4 or 8 */
 #ifndef CRC_LE_BITS -# define CRC_LE_BITS 32
+# define CRC_LE_BITS 64
 #endif
 #ifndef CRC_BE_BITS
-# define CRC_BE_BITS 32
+# define CRC_BE_BITS 64
 #endif
  /*
  * Little-endian CRC computation.  Used with serial bit streams sent
  * lsbit-first.  Be sure to use cpu_to_le32() to append the computed CRC.
  */
-#if CRC_LE_BITS > 32 || CRC_LE_BITS < 1 || CRC_LE_BITS == 16 || \
+#if CRC_LE_BITS > 64 || CRC_LE_BITS < 1 || CRC_LE_BITS == 16 || \
 	CRC_LE_BITS & CRC_LE_BITS-1
-# error "CRC_LE_BITS must be one of {1, 2, 4, 8, 32}"
+# error "CRC_LE_BITS must be one of {1, 2, 4, 8, 64}"
 #endif
  /*
  * Big-endian CRC computation.  Used with serial bit streams sent
  * msbit-first.  Be sure to use cpu_to_be32() to append the computed CRC.
  */
-#if CRC_BE_BITS > 32 || CRC_BE_BITS < 1 || CRC_BE_BITS == 16 || \
+#if CRC_BE_BITS > 64 || CRC_BE_BITS < 1 || CRC_BE_BITS == 16 || \
 	CRC_BE_BITS & CRC_BE_BITS-1
-# error "CRC_BE_BITS must be one of {1, 2, 4, 8, 32}"
+# error "CRC_BE_BITS must be one of {1, 2, 4, 8, 64}"
 #endif
Index: infiniband/lib/gen_crc32table.c
===================================================================
--- infiniband.orig/lib/gen_crc32table.c
+++ infiniband/lib/gen_crc32table.c
@@ -4,20 +4,24 @@
  #define ENTRIES_PER_LINE 4
 -#if CRC_LE_BITS <= 8
-#define LE_TABLE_SIZE (1 << CRC_LE_BITS)
+#if CRC_LE_BITS > 8
+# define LE_TABLE_ROWS (CRC_LE_BITS/8)
+# define LE_TABLE_SIZE 256
 #else
-#define LE_TABLE_SIZE 256
+# define LE_TABLE_ROWS 1
+# define LE_TABLE_SIZE (1 << CRC_LE_BITS)
 #endif
 -#if CRC_BE_BITS <= 8
-#define BE_TABLE_SIZE (1 << CRC_BE_BITS)
+#if CRC_BE_BITS > 8
+# define BE_TABLE_ROWS (CRC_BE_BITS/8)
+# define BE_TABLE_SIZE 256
 #else
-#define BE_TABLE_SIZE 256
+# define BE_TABLE_ROWS 1
+# define BE_TABLE_SIZE (1 << CRC_BE_BITS)
 #endif
 -static uint32_t crc32table_le[4][256];
-static uint32_t crc32table_be[4][256];
+static uint32_t crc32table_le[LE_TABLE_ROWS][256];
+static uint32_t crc32table_be[BE_TABLE_ROWS][256];
  /**
  * crc32init_le() - allocate and initialize LE table data
@@ -40,7 +44,7 @@ static void crc32init_le(void)
 	}
 	for (i = 0; i < LE_TABLE_SIZE; i++) {
 		crc = crc32table_le[0][i];
-		for (j = 1; j < 4; j++) {
+		for (j = 1; j < LE_TABLE_ROWS; j++) {
 			crc = crc32table_le[0][crc & 0xff] ^ (crc >> 8);
 			crc32table_le[j][i] = crc;
 		}
@@ -64,18 +68,18 @@ static void crc32init_be(void)
 	}
 	for (i = 0; i < BE_TABLE_SIZE; i++) {
 		crc = crc32table_be[0][i];
-		for (j = 1; j < 4; j++) {
+		for (j = 1; j < BE_TABLE_ROWS; j++) {
 			crc = crc32table_be[0][(crc >> 24) & 0xff] ^ (crc << 8);
 			crc32table_be[j][i] = crc;
 		}
 	}
 }
 -static void output_table(uint32_t table[4][256], int len, char *trans)
+static void output_table(uint32_t (*table)[256], int rows, int len, char *trans)
 {
 	int i, j;
 -	for (j = 0 ; j < 4; j++) {
+	for (j = 0 ; j < rows; j++) {
 		printf("{");
 		for (i = 0; i < len - 1; i++) {
 			if (i % ENTRIES_PER_LINE == 0)
@@ -92,15 +96,19 @@ int main(int argc, char** argv)
  	if (CRC_LE_BITS > 1) {
 		crc32init_le();
-		printf("static const u32 crc32table_le[4][256] = {");
-		output_table(crc32table_le, LE_TABLE_SIZE, "tole");
+		printf("static const u32 crc32table_le[%d][%d] = {",
+		       LE_TABLE_ROWS, LE_TABLE_SIZE);
+		output_table(crc32table_le, LE_TABLE_ROWS,
+			     LE_TABLE_SIZE, "tole");
 		printf("};\n");
 	}
  	if (CRC_BE_BITS > 1) {
 		crc32init_be();
-		printf("static const u32 crc32table_be[4][256] = {");
-		output_table(crc32table_be, BE_TABLE_SIZE, "tobe");
+		printf("static const u32 crc32table_be[%d][%d] = {",
+		       BE_TABLE_ROWS, BE_TABLE_SIZE);
+		output_table(crc32table_be, LE_TABLE_ROWS,
+			     BE_TABLE_SIZE, "tobe");
 		printf("};\n");
 	}

Re: [patch v5 7/8] crc32-add-slicing-by-8.diff

[Joakim Tjernlund]

Bob Pearson <rpearson@systemfabricworks.com> wrote on 2011/08/11 00:44:52:
>
> extend add slicing-by-8 algorithm to the existing
> slicing-by-4 algorithm. This consists of:
>
>    - extend largest BITS size from 32 to 64
>    - extend table from tab[4][256] to tab[8][256]
>    - change algorithm to align on 8 byte boundary
>      (it was noted that all that is really required
>      is that the inner loop must comsume 8 bytes.
>      As written it can start on even or odd 4 byte
>      boundary.)
>    - Add code for inner loop.
>
> Signed-off-by: Bob Pearson <rpearson@systemfabricworks.com>
>
> ---
>  lib/crc32.c          |   60 ++++++++++++++++++++++++++++++++++++++++++---------
>  lib/crc32defs.h      |   14 +++++------
>  lib/gen_crc32table.c |   40 ++++++++++++++++++++--------------

While looking at gen_crc32table.c I see that much of my remarks still stands

Re: [patch v5 7/8] crc32-add-slicing-by-8.diff

[George Spelvin]

I don't know if you care, but here's some slightly more compact code for
creating the tables.  It produces the same results, and I don't think
it's any slower.

I can explain it if anyone's confused, but it's hopefully fairly
easy to figure out assuming a backgriund in CRC math.

(Tested against existing code, not in kernel.)
Signed-off-by: George Spelvin <linux@horizon.com>

static void crc32init_le(void)
{
	unsigned i, j, k;
	uint32_t crc = 1;

	for (i = 0; i < LE_TABLE_ROWS; i++) {
		crc32table_le[i][0] = 0;
		for (j = LE_TABLE_SIZE >> 1; j; j >>= 1) {
			crc = (crc >> 1) ^ (crc & 1 ? CRCPOLY_LE : 0);
			for (k = 0; k < LE_TABLE_SIZE; k += 2 * j)
				crc32table_le[i][j + k] = crc ^ crc32table_le[i][k];
		}
	}
}

static void crc32init_be(void)
{
	unsigned i, j, k;
	uint32_t crc = 0x80000000;

	for (i = 0; i < BE_TABLE_ROWS; i++) {
		crc32table_be[i][0] = 0;
		for (j = 1; j < BE_TABLE_SIZE; j <<= 1) {
			crc = (crc << 1) ^ (crc & 0x80000000 ? CRCPOLY_BE : 0);
			for (k = 0; k < j; k++)
				crc32table_be[i][j + k] = crc ^ crc32table_be[i][k];
		}
	}
}

Re: [patch v5 7/8] crc32-add-slicing-by-8.diff

[Joakim Tjernlund]

"George Spelvin" <linux@horizon.com> wrote on 2011/08/11 17:34:01:
>
> I don't know if you care, but here's some slightly more compact code for
> creating the tables.  It produces the same results, and I don't think
> it's any slower.
>
> I can explain it if anyone's confused, but it's hopefully fairly
> easy to figure out assuming a backgriund in CRC math.
>
> (Tested against existing code, not in kernel.)
> Signed-off-by: George Spelvin <linux@horizon.com>

Forgot about this mail. Looks really neat :)
Easy to generalize to support crc16 too.

 Jocke
>
> static void crc32init_le(void)
> {
>    unsigned i, j, k;
>    uint32_t crc = 1;
>
>    for (i = 0; i < LE_TABLE_ROWS; i++) {
>       crc32table_le[i][0] = 0;
>       for (j = LE_TABLE_SIZE >> 1; j; j >>= 1) {
>          crc = (crc >> 1) ^ (crc & 1 ? CRCPOLY_LE : 0);
>          for (k = 0; k < LE_TABLE_SIZE; k += 2 * j)
>             crc32table_le[i][j + k] = crc ^ crc32table_le[i][k];
>       }
>    }
> }
>
> static void crc32init_be(void)
> {
>    unsigned i, j, k;
>    uint32_t crc = 0x80000000;
>
>    for (i = 0; i < BE_TABLE_ROWS; i++) {
>       crc32table_be[i][0] = 0;
>       for (j = 1; j < BE_TABLE_SIZE; j <<= 1) {
>          crc = (crc << 1) ^ (crc & 0x80000000 ? CRCPOLY_BE : 0);
>          for (k = 0; k < j; k++)
>             crc32table_be[i][j + k] = crc ^ crc32table_be[i][k];
>       }
>    }
> }

[patch v5 8/8] crc32-final-cleanup.diff

[Bob Pearson]

Some final cleanup changes

	- added a comment at the top of crc32.c
	- moved macros ahead of function prototype
	- replaced loops with for (i = 0; i < xxx; i++) which
	  requires fewer instructions on x86 since the
	  buffer lookups can use i as an index.

Signed-off-by: Bob Pearson <rpearson@systemfabricworks.com>

---
 lib/crc32.c |   89 ++++++++++++++++++++++++++++--------------------------------
 1 file changed, 43 insertions(+), 46 deletions(-)

Index: infiniband/lib/crc32.c
===================================================================
--- infiniband.orig/lib/crc32.c
+++ infiniband/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
@@ -45,45 +49,41 @@ MODULE_LICENSE("GPL");
  #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_CRC8a (t7[(q) & 255] ^ \
-			t6[(q >> 8) & 255] ^ \
-			t5[(q >> 16) & 255] ^ \
-			t4[(q >> 24) & 255])
-#  define DO_CRC8b (t3[(q) & 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_CRC8a (t4[(q) & 255] ^ \
-			t5[(q >> 8) & 255] ^ \
-			t6[(q >> 16) & 255] ^ \
-			t7[(q >> 24) & 255])
-#  define DO_CRC8b (t0[(q) & 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
+
+/* 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])
+{
 	const u32 *b;
 	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];
+	u8 *p;
+	u32 q;
 	size_t init_len;
 	size_t middle_len;
 	size_t rem_len;
+	size_t i;
  	/* break buf into init_len bytes before and
 	 * rem_len bytes after a middle section with
@@ -99,37 +99,34 @@ crc32_body(u32 crc, unsigned char const  	rem_len = (len - init_len) & 7;
 # endif
 -	/* Align it */
-	if (unlikely(init_len)) {
-		do {
-			DO_CRC(*buf++);
-		} while (--init_len);
-	}
-	b = (const u32 *)buf;
-	for (--b; middle_len; --middle_len) {
+	/* process unaligned initial bytes */
+	for (i = 0; i < init_len; i++)
+		DO_CRC(*buf++);
+
+	/* process aligned words */
+	b = (const u32 *)(buf - 4);
+
+	for (i = 0; i < middle_len; i++) {
 # if CRC_LE_BITS == 32
-		crc ^= *++b; /* use pre increment for speed */
-		DO_CRC4;
+		/* slicing-by-4 algorithm */
+		q = crc ^ *++b; /* use pre increment for speed */
+		crc = DO_CRC4;
 # else
-		u32 q;
+		/* slicing-by-8 algorithm */
 		q = crc ^ *++b;
-		crc = DO_CRC8a;
+		crc = DO_CRC8;
 		q = *++b;
-		crc ^= DO_CRC8b;
+		crc ^= DO_CRC4;
 # endif
 	}
-	/* And the last few bytes */
-	if (rem_len) {
-		u8 *p = (u8 *)(b + 1) - 1;
-		do {
-			DO_CRC(*++p); /* use pre increment for speed */
-		} while (--rem_len);
-	}
+
+	/* process unaligned remaining bytes */
+	p = (u8 *)(b + 1) - 1;
+
+	for (i = 0; i < rem_len; i++)
+		DO_CRC(*++p); /* use pre increment for speed */
+
 	return crc;
-#undef DO_CRC
-#undef DO_CRC4
-#undef DO_CRC8a
-#undef DO_CRC8b
 }
 #endif