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authorHarald Welte <laforge@gnumonks.org>2011-07-04 20:52:54 +0200
committerHarald Welte <laforge@gnumonks.org>2011-07-04 20:52:54 +0200
commit044ad7c3987460ede48ff27afd6bdb0ca05a0432 (patch)
tree924818cdb0d39ca08aec540d18da7bd406eaae8c /utility/hamming.c
import at91lib from at91lib_20100901_softpack_1_9_v_1_0_svn_v1501120100901_softpack_1_9_v_1_0_svn_v15011
it's sad to see that atmel doesn't publish their svn repo or has a centralized location or even puts proper version/release info into the library itself
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+/* ----------------------------------------------------------------------------
+ * ATMEL Microcontroller Software Support
+ * ----------------------------------------------------------------------------
+ * Copyright (c) 2008, Atmel Corporation
+ *
+ * All rights reserved.
+ *
+ * Redistribution and use in source and binary forms, with or without
+ * modification, are permitted provided that the following conditions are met:
+ *
+ * - Redistributions of source code must retain the above copyright notice,
+ * this list of conditions and the disclaimer below.
+ *
+ * Atmel's name may not be used to endorse or promote products derived from
+ * this software without specific prior written permission.
+ *
+ * DISCLAIMER: THIS SOFTWARE IS PROVIDED BY ATMEL "AS IS" AND ANY EXPRESS OR
+ * IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
+ * MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NON-INFRINGEMENT ARE
+ * DISCLAIMED. IN NO EVENT SHALL ATMEL BE LIABLE FOR ANY DIRECT, INDIRECT,
+ * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
+ * LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA,
+ * OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF
+ * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING
+ * NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE,
+ * EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+ * ----------------------------------------------------------------------------
+ */
+
+//------------------------------------------------------------------------------
+// Headers
+//------------------------------------------------------------------------------
+
+#include "hamming.h"
+#include <utility/trace.h>
+#include <utility/assert.h>
+
+//------------------------------------------------------------------------------
+// Internal function
+//------------------------------------------------------------------------------
+
+//------------------------------------------------------------------------------
+/// Counts and return the number of bits set to '1' in the given byte.
+/// \param byte Byte to count.
+//------------------------------------------------------------------------------
+static unsigned char CountBitsInByte(unsigned char byte)
+{
+ unsigned char count = 0;
+ while (byte > 0) {
+
+ if (byte & 1) {
+
+ count++;
+ }
+ byte >>= 1;
+ }
+
+ return count;
+}
+
+//------------------------------------------------------------------------------
+/// Counts and return the number of bits set to '1' in the given hamming code.
+/// \param code Hamming code.
+//------------------------------------------------------------------------------
+static unsigned char CountBitsInCode256(unsigned char *code)
+{
+ return CountBitsInByte(code[0])
+ + CountBitsInByte(code[1])
+ + CountBitsInByte(code[2]);
+}
+
+//------------------------------------------------------------------------------
+/// Calculates the 22-bit hamming code for a 256-bytes block of data.
+/// \param data Data buffer to calculate code for.
+/// \param code Pointer to a buffer where the code should be stored.
+//------------------------------------------------------------------------------
+static void Compute256(const unsigned char *data, unsigned char *code)
+{
+ unsigned int i;
+ unsigned char columnSum = 0;
+ unsigned char evenLineCode = 0;
+ unsigned char oddLineCode = 0;
+ unsigned char evenColumnCode = 0;
+ unsigned char oddColumnCode = 0;
+
+ // Xor all bytes together to get the column sum;
+ // At the same time, calculate the even and odd line codes
+ for (i=0; i < 256; i++) {
+
+ columnSum ^= data[i];
+
+ // If the xor sum of the byte is 0, then this byte has no incidence on
+ // the computed code; so check if the sum is 1.
+ if ((CountBitsInByte(data[i]) & 1) == 1) {
+
+ // Parity groups are formed by forcing a particular index bit to 0
+ // (even) or 1 (odd).
+ // Example on one byte:
+ //
+ // bits (dec) 7 6 5 4 3 2 1 0
+ // (bin) 111 110 101 100 011 010 001 000
+ // '---'---'---'----------.
+ // |
+ // groups P4' ooooooooooooooo eeeeeeeeeeeeeee P4 |
+ // P2' ooooooo eeeeeee ooooooo eeeeeee P2 |
+ // P1' ooo eee ooo eee ooo eee ooo eee P1 |
+ // |
+ // We can see that: |
+ // - P4 -> bit 2 of index is 0 --------------------'
+ // - P4' -> bit 2 of index is 1.
+ // - P2 -> bit 1 of index if 0.
+ // - etc...
+ // We deduce that a bit position has an impact on all even Px if
+ // the log2(x)nth bit of its index is 0
+ // ex: log2(4) = 2, bit2 of the index must be 0 (-> 0 1 2 3)
+ // and on all odd Px' if the log2(x)nth bit of its index is 1
+ // ex: log2(2) = 1, bit1 of the index must be 1 (-> 0 1 4 5)
+ //
+ // As such, we calculate all the possible Px and Px' values at the
+ // same time in two variables, evenLineCode and oddLineCode, such as
+ // evenLineCode bits: P128 P64 P32 P16 P8 P4 P2 P1
+ // oddLineCode bits: P128' P64' P32' P16' P8' P4' P2' P1'
+ //
+ evenLineCode ^= (255 - i);
+ oddLineCode ^= i;
+ }
+ }
+
+ // At this point, we have the line parities, and the column sum. First, We
+ // must caculate the parity group values on the column sum.
+ for (i=0; i < 8; i++) {
+
+ if (columnSum & 1) {
+
+ evenColumnCode ^= (7 - i);
+ oddColumnCode ^= i;
+ }
+ columnSum >>= 1;
+ }
+
+ // Now, we must interleave the parity values, to obtain the following layout:
+ // Code[0] = Line1
+ // Code[1] = Line2
+ // Code[2] = Column
+ // Line = Px' Px P(x-1)- P(x-1) ...
+ // Column = P4' P4 P2' P2 P1' P1 PadBit PadBit
+ code[0] = 0;
+ code[1] = 0;
+ code[2] = 0;
+
+ for (i=0; i < 4; i++) {
+
+ code[0] <<= 2;
+ code[1] <<= 2;
+ code[2] <<= 2;
+
+ // Line 1
+ if ((oddLineCode & 0x80) != 0) {
+
+ code[0] |= 2;
+ }
+ if ((evenLineCode & 0x80) != 0) {
+
+ code[0] |= 1;
+ }
+
+ // Line 2
+ if ((oddLineCode & 0x08) != 0) {
+
+ code[1] |= 2;
+ }
+ if ((evenLineCode & 0x08) != 0) {
+
+ code[1] |= 1;
+ }
+
+ // Column
+ if ((oddColumnCode & 0x04) != 0) {
+
+ code[2] |= 2;
+ }
+ if ((evenColumnCode & 0x04) != 0) {
+
+ code[2] |= 1;
+ }
+
+ oddLineCode <<= 1;
+ evenLineCode <<= 1;
+ oddColumnCode <<= 1;
+ evenColumnCode <<= 1;
+ }
+
+ // Invert codes (linux compatibility)
+ code[0] = ~code[0];
+ code[1] = ~code[1];
+ code[2] = ~code[2];
+
+ TRACE_DEBUG("Computed code = %02X %02X %02X\n\r",
+ code[0], code[1], code[2]);
+}
+
+//------------------------------------------------------------------------------
+/// Verifies and corrects a 256-bytes block of data using the given 22-bits
+/// hamming code.
+/// Returns 0 if there is no error, otherwise returns a HAMMING_ERROR code.
+/// \param data Data buffer to check.
+/// \param originalCode Hamming code to use for verifying the data.
+//------------------------------------------------------------------------------
+static unsigned char Verify256(
+ unsigned char *data,
+ const unsigned char *originalCode)
+{
+ // Calculate new code
+ unsigned char computedCode[3];
+ unsigned char correctionCode[3];
+ Compute256(data, computedCode);
+
+ // Xor both codes together
+ correctionCode[0] = computedCode[0] ^ originalCode[0];
+ correctionCode[1] = computedCode[1] ^ originalCode[1];
+ correctionCode[2] = computedCode[2] ^ originalCode[2];
+
+ TRACE_DEBUG("Correction code = %02X %02X %02X\n\r",
+ correctionCode[0], correctionCode[1], correctionCode[2]);
+
+ // If all bytes are 0, there is no error
+ if ((correctionCode[0] == 0)
+ && (correctionCode[1] == 0)
+ && (correctionCode[2] == 0)) {
+
+ return 0;
+ }
+ // If there is a single bit error, there are 11 bits set to 1
+ if (CountBitsInCode256(correctionCode) == 11) {
+
+ // Get byte and bit indexes
+ unsigned char byte = correctionCode[0] & 0x80;
+ byte |= (correctionCode[0] << 1) & 0x40;
+ byte |= (correctionCode[0] << 2) & 0x20;
+ byte |= (correctionCode[0] << 3) & 0x10;
+
+ byte |= (correctionCode[1] >> 4) & 0x08;
+ byte |= (correctionCode[1] >> 3) & 0x04;
+ byte |= (correctionCode[1] >> 2) & 0x02;
+ byte |= (correctionCode[1] >> 1) & 0x01;
+
+ unsigned char bit = (correctionCode[2] >> 5) & 0x04;
+ bit |= (correctionCode[2] >> 4) & 0x02;
+ bit |= (correctionCode[2] >> 3) & 0x01;
+
+ // Correct bit
+ TRACE_DEBUG("Correcting byte #%d at bit %d\n\r", byte, bit);
+ data[byte] ^= (1 << bit);
+
+ return Hamming_ERROR_SINGLEBIT;
+ }
+ // Check if ECC has been corrupted
+ if (CountBitsInCode256(correctionCode) == 1) {
+
+ return Hamming_ERROR_ECC;
+ }
+ // Otherwise, this is a multi-bit error
+ else {
+
+ return Hamming_ERROR_MULTIPLEBITS;
+ }
+}
+
+//------------------------------------------------------------------------------
+// Exported functions
+//------------------------------------------------------------------------------
+
+//------------------------------------------------------------------------------
+/// Computes 3-bytes hamming codes for a data block whose size is multiple of
+/// 256 bytes. Each 256 bytes block gets its own code.
+/// \param data Data to compute code for.
+/// \param size Data size in bytes.
+/// \param code Codes buffer.
+//------------------------------------------------------------------------------
+void Hamming_Compute256x(
+ const unsigned char *data,
+ unsigned int size,
+ unsigned char *code)
+{
+ TRACE_DEBUG("Hamming_Compute256x()\n\r");
+
+ while (size > 0) {
+
+ Compute256(data, code);
+ data += 256;
+ code += 3;
+ size -= 256;
+ }
+}
+
+//------------------------------------------------------------------------------
+/// Verifies 3-bytes hamming codes for a data block whose size is multiple of
+/// 256 bytes. Each 256-bytes block is verified with its own code.
+/// Returns 0 if the data is correct, Hamming_ERROR_SINGLEBIT if one or more
+/// block(s) have had a single bit corrected, or either Hamming_ERROR_ECC
+/// or Hamming_ERROR_MULTIPLEBITS.
+/// \param data Data buffer to verify.
+/// \param size Size of the data in bytes.
+/// \param code Original codes.
+//------------------------------------------------------------------------------
+unsigned char Hamming_Verify256x(
+ unsigned char *data,
+ unsigned int size,
+ const unsigned char *code)
+{
+ unsigned char error;
+ unsigned char result = 0;
+
+ TRACE_DEBUG("Hamming_Verify256x()\n\r");
+
+ while (size > 0) {
+
+ error = Verify256(data, code);
+ if (error == Hamming_ERROR_SINGLEBIT) {
+
+ result = Hamming_ERROR_SINGLEBIT;
+ }
+ else if (error) {
+
+ return error;
+ }
+
+ data += 256;
+ code += 3;
+ size -= 256;
+ }
+
+ return result;
+}
+
personal git repositories of Harald Welte. Your mileage may vary