/* * Copyright (c) 2013, Kevin Greenan (kmgreen2@gmail.com) * 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 following disclaimer. * * 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. THIS SOFTWARE IS PROVIDED BY * THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED * WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF * MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO * EVENT SHALL THE COPYRIGHT HOLDER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, * INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, * DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF * LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE * OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF * ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. */ #ifdef INTEL_SSE2 #include //SSE2 #endif #include #include #include #include #include "xor_code.h" const int g_bit_lookup[] = {0x1, 0x2, 0x4, 0x8, 0x10, 0x20, 0x40, 0x80, 0x100, 0x200, 0x400, 0x800, 0x1000, 0x2000, 0x4000, 0x8000, 0x10000, 0x20000, 0x40000, 0x80000, 0x100000, 0x200000, 0x400000, 0x800000, 0x1000000, 0x2000000, 0x4000000, 0x8000000, 0x10000000, 0x20000000, 0x40000000, 0x80000000}; int is_data_in_parity(int data_idx, unsigned int parity_bm) { return ((g_bit_lookup[data_idx] & parity_bm) == g_bit_lookup[data_idx]); } int does_parity_have_data(int parity_idx, unsigned int data_bm) { return ((g_bit_lookup[parity_idx] & data_bm) == g_bit_lookup[parity_idx]); } int parity_bit_lookup(xor_code_t *code_desc, int index) { return g_bit_lookup[code_desc->k - index]; } int data_bit_lookup(xor_code_t *code_desc, int index) { return g_bit_lookup[index]; } int missing_elements_bm(xor_code_t *code_desc, int *missing_elements, int (*bit_lookup_func)(xor_code_t *code_desc, int index)) { int i = 0; int bm = 0; while (missing_elements[i] > -1) { bm |= bit_lookup_func(code_desc, missing_elements[i]); i++; } return bm; } failure_pattern_t get_failure_pattern(xor_code_t *code_desc, int *missing_idxs) { int i = 0; int num_failures = 0; failure_pattern_t pattern = FAIL_PATTERN_0D_0P; while (missing_idxs[i] > -1) { if (num_failures >= code_desc->hd) { pattern = FAIL_PATTERN_GE_HD; } switch(pattern) { case FAIL_PATTERN_0D_0P: pattern = (missing_idxs[i] < code_desc->k) ? FAIL_PATTERN_1D_0P : FAIL_PATTERN_0D_1P; break; case FAIL_PATTERN_1D_0P: pattern = (missing_idxs[i] < code_desc->k) ? FAIL_PATTERN_2D_0P : FAIL_PATTERN_1D_1P; break; case FAIL_PATTERN_2D_0P: pattern = (missing_idxs[i] < code_desc->k) ? FAIL_PATTERN_3D_0P : FAIL_PATTERN_2D_1P; break; case FAIL_PATTERN_3D_0P: pattern = FAIL_PATTERN_GE_HD; break; case FAIL_PATTERN_1D_1P: pattern = (missing_idxs[i] < code_desc->k) ? FAIL_PATTERN_2D_1P : FAIL_PATTERN_1D_2P; break; case FAIL_PATTERN_1D_2P: pattern = FAIL_PATTERN_GE_HD; break; case FAIL_PATTERN_2D_1P: pattern = FAIL_PATTERN_GE_HD; break; case FAIL_PATTERN_0D_1P: pattern = (missing_idxs[i] < code_desc->k) ? FAIL_PATTERN_1D_1P : FAIL_PATTERN_0D_2P; break; case FAIL_PATTERN_0D_2P: pattern = (missing_idxs[i] < code_desc->k) ? FAIL_PATTERN_1D_2P : FAIL_PATTERN_0D_3P; break; case FAIL_PATTERN_0D_3P: pattern = FAIL_PATTERN_GE_HD; break; case FAIL_PATTERN_GE_HD: default: break; } if (pattern == FAIL_PATTERN_GE_HD) { break; } i++; } return pattern; } void fast_memcpy(char *dst, char *src, int size) { // Use _mm_stream_si128((__m128i*) _buf2, sum); memcpy(dst, src, size); } /* * Buffers must be aligned to 16-byte boundaries * * Store in buf2 (opposite of memcpy convention... Maybe change?) */ void xor_bufs_and_store(char *buf1, char *buf2, int blocksize) { #ifdef INTEL_SSE2 int residual_bytes = num_unaligned_end(blocksize); int fast_blocksize = blocksize > residual_bytes ? (blocksize - residual_bytes) : 0; int fast_int_blocksize = fast_blocksize / sizeof(__m128i); int i; __m128i *_buf1 = (__m128i*)buf1; __m128i *_buf2 = (__m128i*)buf2; /* * XOR aligned region using 128-bit XOR */ for (i=0; i < fast_int_blocksize; i++) { _buf2[i] = _mm_xor_si128(_buf1[i], _buf2[i]); } #else int residual_bytes = num_unaligned_end(blocksize); int fast_blocksize = blocksize > residual_bytes ? (blocksize - residual_bytes) : 0; int fast_int_blocksize = fast_blocksize / sizeof(unsigned long); int i; unsigned long*_buf1 = (unsigned long*)buf1; unsigned long*_buf2 = (unsigned long*)buf2; for (i=0; i < fast_int_blocksize; i++) { _buf2[i] = _buf1[i] ^ _buf2[i]; } #endif /* * XOR unaligned end of region */ for (i=fast_blocksize; i < blocksize; i++) { buf2[i] ^= buf1[i]; } } void xor_code_encode(xor_code_t *code_desc, char **data, char **parity, int blocksize) { int i, j; for (i=0; i < code_desc->k; i++) { for (j=0; j < code_desc->m; j++) { if (is_data_in_parity(i, code_desc->parity_bms[j])) { xor_bufs_and_store(data[i], parity[j], blocksize); } } } } void selective_encode(xor_code_t *code_desc, char **data, char **parity, int *missing_parity, int blocksize) { int i; for (i=0; i < code_desc->k; i++) { int j=0; while (missing_parity[j] > -1) { int parity_index = missing_parity[j] - code_desc->k; if (is_data_in_parity(i, code_desc->parity_bms[parity_index])) { xor_bufs_and_store(data[i], parity[parity_index], blocksize); } j++; } } } int * get_missing_parity(xor_code_t *code_desc, int *missing_idxs) { int *missing_parity = (int*)malloc(sizeof(int)*MAX_PARITY); int i = 0, j = 0; while (missing_idxs[i] > -1) { if (missing_idxs[i] >= code_desc->k) { missing_parity[j] = missing_idxs[i]; j++; } i++; } missing_parity[j] = -1; return missing_parity; } int * get_missing_data(xor_code_t *code_desc, int *missing_idxs) { int *missing_data = (int*)malloc(sizeof(int)*MAX_DATA); int i = 0, j = 0; while (missing_idxs[i] > -1) { if (missing_idxs[i] < code_desc->k) { missing_data[j] = missing_idxs[i]; j++; } i++; } missing_data[j] = -1; return missing_data; } /* * Reconstruct a single missing symbol, given other symbols may be missing */ void xor_reconstruct_one(xor_code_t *code_desc, char **data, char **parity, int *missing_idxs, int index_to_reconstruct, int blocksize) { int *missing_data = get_missing_data(code_desc, missing_idxs); int *missing_parity = get_missing_parity(code_desc, missing_idxs); int i; // If it is a data symbol, we need to figure out // what data+parity symbols are needed to reconstruct // If there is not at least one parity equation with // one missing data element (the index to resonstruct), // just call the underlying decode function if (index_to_reconstruct < code_desc->k) { int connected_parity_idx = index_of_connected_parity(code_desc, index_to_reconstruct, missing_parity, missing_data); if (connected_parity_idx >= 0) { // Can do a cheap reoncstruction! int relative_parity_idx = connected_parity_idx - code_desc->k; int parity_bm = code_desc->parity_bms[relative_parity_idx]; fast_memcpy(data[index_to_reconstruct], parity[relative_parity_idx], blocksize); for (i=0; i < code_desc->k; i++) { if (parity_bm & (1 << i)) { if (i != index_to_reconstruct) { xor_bufs_and_store(data[i], data[index_to_reconstruct], blocksize); } } } } else { // Just call decode code_desc->decode(code_desc, data, parity, missing_idxs, blocksize, 1); } } else { // If it is a parity symbol, we need to figure out // what data symbols are needed to reconstruct the // parity. If *any* data symbols in the parity // equation are missing, we are better off calling // the underlying decode function. int num_data_missing = num_missing_data_in_parity(code_desc, index_to_reconstruct, missing_data); if (num_data_missing == 0) { int relative_parity_idx = index_to_reconstruct - code_desc->k; int parity_bm = code_desc->parity_bms[relative_parity_idx]; memset(parity[relative_parity_idx], 0, blocksize); for (i=0; i < code_desc->k; i++) { if (parity_bm & (1 << i)) { xor_bufs_and_store(data[i], parity[relative_parity_idx], blocksize); } } } else { // Just call decode code_desc->decode(code_desc, data, parity, missing_idxs, blocksize, 1); } } free(missing_data); free(missing_parity); } int num_missing_data_in_parity(xor_code_t *code_desc, int parity_idx, int *missing_data) { int i = 0; int num_missing_data = 0; int relative_parity_index = parity_idx - code_desc->k; if (missing_data == NULL) { return 0; } while (missing_data[i] > -1) { if (does_parity_have_data(relative_parity_index, code_desc->data_bms[missing_data[i]]) > 0) { num_missing_data++; } i++; } return num_missing_data; } int index_of_connected_parity(xor_code_t *code_desc, int data_index, int *missing_parity, int *missing_data) { int parity_index = -1; int i; for (i=0; i < code_desc->m; i++) { if (num_missing_data_in_parity(code_desc, i + code_desc->k, missing_data) > 1) { continue; } if (is_data_in_parity(data_index, code_desc->parity_bms[i])) { int j=0; int is_missing = 0; if (missing_parity == NULL) { parity_index = i; break; } while (missing_parity[j] > -1) { if ((code_desc->k + i) == missing_parity[j]) { is_missing = 1; break; } j++; } if (!is_missing) { parity_index = i; break; } } } // Must add k to get the absolute // index of the parity in the stripe return parity_index > -1 ? parity_index + code_desc->k : parity_index; } void remove_from_missing_list(int element, int *missing_list) { int i = 0; int elem_idx = -1; int num_elems = 0; while (missing_list[i] > -1) { if (missing_list[i] == element) { elem_idx = i; missing_list[i] = -1; } i++; } num_elems = i; for (i=elem_idx;i < num_elems-1;i++) { int tmp = missing_list[i+1]; missing_list[i+1] = missing_list[i]; missing_list[i] = tmp; } }