/** * \file * * \brief Hamming ECC software implementation. * * This file contains a software Hamming ECC implementation. * * Copyright (c) 2012-2015 Atmel Corporation. All rights reserved. * * \asf_license_start * * \page License * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions are met: * * 1. Redistributions of source code must retain the above copyright notice, * this list of conditions and the following disclaimer. * * 2. Redistributions in binary form must reproduce the above copyright notice, * this list of conditions and the following disclaimer in the documentation * and/or other materials provided with the distribution. * * 3. The name of Atmel may not be used to endorse or promote products derived * from this software without specific prior written permission. * * 4. This software may only be redistributed and used in connection with an * Atmel microcontroller product. * * 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 * EXPRESSLY AND SPECIFICALLY 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. * * \asf_license_stop * */ /* * Support and FAQ: visit Atmel Support */ #include "ecc-sw.h" /** * Count and return the number of bits set to '1' in the given byte. * * \param byte Byte to count. */ static uint32_t count_bits_in_byte(uint8_t byte) { uint32_t count = 0; while (byte > 0) { if (byte & 1) { count++; } byte >>= 1; } return count; } /** * Count and return the number of bits set to '1' in the given hamming code. * * \param code Hamming code. */ static uint32_t count_bits_in_code256(uint8_t *code) { return count_bits_in_byte(code[0]) + count_bits_in_byte(code[1]) + count_bits_in_byte(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 uint8_t *data, uint8_t *code) { uint32_t i; uint8_t column_sum = 0; uint8_t even_line_code = 0; uint8_t odd_line_code = 0; uint8_t even_column_code = 0; uint8_t odd_column_code = 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++) { column_sum ^= 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 ((count_bits_in_byte(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, even_line_code and odd_line_code, such as * even_line_code bits: P128 P64 P32 P16 P8 P4 P2 P1 * odd_line_code bits: P128' P64' P32' P16' P8' P4' P2' P1' */ even_line_code ^= (255 - i); odd_line_code ^= i; } } /* * At this point, we have the line parities, and the column sum. First, We * must calculate the parity group values on the column sum. */ for (i = 0; i < 8; i++) { if (column_sum & 1) { even_column_code ^= (7 - i); odd_column_code ^= i; } column_sum >>= 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 ((odd_line_code & 0x80) != 0) { code[0] |= 2; } if ((even_line_code & 0x80) != 0) { code[0] |= 1; } /* Line 2 */ if ((odd_line_code & 0x08) != 0) { code[1] |= 2; } if ((even_line_code & 0x08) != 0) { code[1] |= 1; } /* Column */ if ((odd_column_code & 0x04) != 0) { code[2] |= 2; } if ((even_column_code & 0x04) != 0) { code[2] |= 1; } odd_line_code <<= 1; even_line_code <<= 1; odd_column_code <<= 1; even_column_code <<= 1; } /* Invert codes (linux compatibility) */ code[0] = (~(uint32_t) code[0]); code[1] = (~(uint32_t) code[1]); code[2] = (~(uint32_t) code[2]); } /** * Verifies and corrects a 256-bytes block of data using the given 22-bits * hamming code. * * \param puc_data Pointer to data buffer to check. * \param puc_original_code Pointer to hamming code to use for verifying the data. * * \return 0 if there is no error, otherwise returns a HAMMING_ERROR code. */ static uint32_t verify256(uint8_t *puc_data, const uint8_t *puc_original_code) { /* Calculate new code */ uint8_t computed_code[3]; uint8_t correction_code[3]; compute256(puc_data, computed_code); /* Xor both codes together */ correction_code[0] = computed_code[0] ^ puc_original_code[0]; correction_code[1] = computed_code[1] ^ puc_original_code[1]; correction_code[2] = computed_code[2] ^ puc_original_code[2]; /* If all bytes are 0, there is no error */ if ((correction_code[0] == 0) && (correction_code[1] == 0) && (correction_code[2] == 0)) { return 0; } /* If there is a single bit error, there are 11 bits set to 1 */ if (count_bits_in_code256(correction_code) == 11) { /* Get byte and bit indexes */ uint8_t byte; uint8_t bit; byte = correction_code[0] & 0x80; byte |= ((correction_code[0] << 1) & 0x40); byte |= ((correction_code[0] << 2) & 0x20); byte |= ((correction_code[0] << 3) & 0x10); byte |= ((correction_code[1] >> 4) & 0x08); byte |= ((correction_code[1] >> 3) & 0x04); byte |= ((correction_code[1] >> 2) & 0x02); byte |= ((correction_code[1] >> 1) & 0x01); bit = (correction_code[2] >> 5) & 0x04; bit |= ((correction_code[2] >> 4) & 0x02); bit |= ((correction_code[2] >> 3) & 0x01); /* Correct bit */ puc_data[byte] ^= (1 << bit); return HAMMING_ERROR_SINGLE_BIT; } /* Check if ECC has been corrupted */ if (count_bits_in_code256(correction_code) == 1) { return HAMMING_ERROR_ECC; } /* Otherwise, this is a multi-bit error */ else { return HAMMING_ERROR_MULTIPLE_BITS; } } /** * 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 puc_data Pointer to data to compute code for. * \param dw_size Data size in bytes. * \param puc_code Pointer to codes buffer. */ void hamming_compute_256x(const uint8_t *puc_data, uint32_t dw_size, uint8_t *puc_code) { while (dw_size > 0) { compute256(puc_data, puc_code); puc_data += 256; puc_code += 3; dw_size -= 256; } } /** * Verify 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. * * \param puc_data Pointer to data buffer to verify. * \param dw_size Size of the data in bytes. * \param puc_code Pointer to original codes. * * \return 0 if the data is correct, HAMMING_ERROR_SINGLE_BIT if one or more * block(s) have had a single bit corrected, or either HAMMING_ERROR_ECC * or HAMMING_ERROR_MULTIPLE_BITS. */ uint32_t hamming_verify_256x(uint8_t *puc_data, uint32_t dw_size, const uint8_t *puc_code) { uint32_t error; uint32_t result = 0; while (dw_size > 0) { error = verify256(puc_data, puc_code); if (error == HAMMING_ERROR_SINGLE_BIT) { result = HAMMING_ERROR_SINGLE_BIT; } else { if (error) { return error; } } puc_data += 256; puc_code += 3; dw_size -= 256; } return result; }