/* * * Copyright (c) 2014, James S. Plank and Kevin Greenan * All rights reserved. * * Jerasure - A C/C++ Library for a Variety of Reed-Solomon and RAID-6 Erasure * Coding Techniques * * Revision 2.0: Galois Field backend now links to GF-Complete * * 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. * * - Neither the name of the University of Tennessee nor the names of its * contributors may be used to endorse or promote products derived * from this software without specific prior written permission. * * 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. */ /* Jerasure's authors: Revision 2.x - 2014: James S. Plank and Kevin M. Greenan. Revision 1.2 - 2008: James S. Plank, Scott Simmerman and Catherine D. Schuman. Revision 1.0 - 2007: James S. Plank. */ #include #include #include #include #include #include "jerasure.h" #define talloc(type, num) (type *) malloc(sizeof(type)*(num)) static void usage(char *s) { fprintf(stderr, "usage: jerasure_06 k m w packetsize seed\n"); fprintf(stderr, "Does a simple Cauchy Reed-Solomon coding example in GF(2^w).\n"); fprintf(stderr, " \n"); fprintf(stderr, " k+m must be < 2^w. Packetsize must be a multiple of sizeof(long)\n"); fprintf(stderr, " It sets up a Cauchy generator matrix and encodes k devices of w*packetsize bytes.\n"); fprintf(stderr, " After that, it decodes device 0 by using jerasure_make_decoding_bitmatrix()\n"); fprintf(stderr, " and jerasure_bitmatrix_dotprod().\n"); fprintf(stderr, " \n"); fprintf(stderr, "This demonstrates: jerasure_bitmatrix_encode()\n"); fprintf(stderr, " jerasure_bitmatrix_decode()\n"); fprintf(stderr, " jerasure_print_bitmatrix()\n"); fprintf(stderr, " jerasure_make_decoding_bitmatrix()\n"); fprintf(stderr, " jerasure_bitmatrix_dotprod()\n"); if (s != NULL) fprintf(stderr, "\n%s\n\n", s); exit(1); } static void print_array(char **ptrs, int ndevices, int size, int packetsize, char *label) { int i, j, x; unsigned char *up; printf("
\n"); for (i = 0; i < ndevices; i++) printf("\n", label, i); printf("\n"); printf("\n"); for (i = 0; i < ndevices; i++) { printf("\n"); } printf("
%s%x
");
  for (j = 0; j < size/packetsize; j++) printf("Packet %d\n", j);
  printf("
");
    up = (unsigned char *) ptrs[i];
    for (j = 0; j < size/packetsize; j++) {
      for (x = 0; x < packetsize; x++) {
        if (x > 0 && x%4 == 0) printf(" ");
        printf("%02x", up[j*packetsize+x]);
      }
      printf("\n");
    }
    printf("
\n"); } int main(int argc, char **argv) { int k, w, i, j, m, psize, x; int *matrix, *bitmatrix; char **data, **coding; int *erasures, *erased; int *decoding_matrix, *dm_ids; uint32_t seed; if (argc != 6) usage(NULL); if (sscanf(argv[1], "%d", &k) == 0 || k <= 0) usage("Bad k"); if (sscanf(argv[2], "%d", &m) == 0 || m <= 0) usage("Bad m"); if (sscanf(argv[3], "%d", &w) == 0 || w <= 0 || w > 32) usage("Bad w"); if (w < 30 && (k+m) > (1 << w)) usage("k + m is too big"); if (sscanf(argv[4], "%d", &psize) == 0 || psize <= 0) usage("Bad packetsize"); if(psize%sizeof(long) != 0) usage("Packetsize must be multiple of sizeof(long)"); if (sscanf(argv[5], "%d", &seed) == 0) usage("Bad seed"); MOA_Seed(seed); matrix = talloc(int, m*k); for (i = 0; i < m; i++) { for (j = 0; j < k; j++) { matrix[i*k+j] = galois_single_divide(1, i ^ (m + j), w); } } bitmatrix = jerasure_matrix_to_bitmatrix(k, m, w, matrix); printf("jerasure_06"); for (i = 1; i < argc; i++) printf(" %s", argv[i]); printf("\n"); printf("

jerasure_06"); for (i = 1; i < argc; i++) printf(" %s", argv[i]); printf("

\n"); printf("
\n"); printf("Last (m * w) rows of the Generator Matrix: (G^T):\n
\n");
  jerasure_print_bitmatrix(bitmatrix, w*m, w*k, w);
  printf("

\n"); data = talloc(char *, k); for (i = 0; i < k; i++) { data[i] = talloc(char, psize*w); MOA_Fill_Random_Region(data[i], psize*w); } coding = talloc(char *, m); for (i = 0; i < m; i++) { coding[i] = talloc(char, psize*w); } jerasure_bitmatrix_encode(k, m, w, bitmatrix, data, coding, w*psize, psize); printf("Encoding Complete - Here is the state of the system\n\n"); printf("

\n"); print_array(data, k, psize*w, psize, "D"); printf("

\n"); print_array(coding, m, psize*w, psize, "C"); printf("


\n"); erasures = talloc(int, (m+1)); erased = talloc(int, (k+m)); for (i = 0; i < m+k; i++) erased[i] = 0; for (i = 0; i < m; ) { erasures[i] = MOA_Random_W(w, 1)%(k+m); if (erased[erasures[i]] == 0) { erased[erasures[i]] = 1; bzero((erasures[i] < k) ? data[erasures[i]] : coding[erasures[i]-k], psize*w); i++; } } erasures[i] = -1; printf("Erased %d random devices:", m); for (i = 0; erasures[i] != -1; i++) { printf(" %c%x", ((erasures[i] < k) ? 'D' : 'C'), (erasures[i] < k ? erasures[i] : erasures[i]-k)); } printf(". Here is the state of the system:\n"); printf("

\n"); print_array(data, k, psize*w, psize, "D"); printf("

\n"); print_array(coding, m, psize*w, psize, "C"); printf("


\n"); i = jerasure_bitmatrix_decode(k, m, w, bitmatrix, 0, erasures, data, coding, w*psize, psize); printf("Here is the state of the system after decoding:\n\n"); printf("

\n"); print_array(data, k, psize*w, psize, "D"); printf("

\n"); print_array(coding, m, psize*w, psize, "C"); printf("


\n"); decoding_matrix = talloc(int, k*k*w*w); dm_ids = talloc(int, k); x = (m < k) ? m : k; for (i = 0; i < x; i++) erased[i] = 1; for (; i < k+m; i++) erased[i] = 0; jerasure_make_decoding_bitmatrix(k, m, w, bitmatrix, erased, decoding_matrix, dm_ids); printf("Suppose we erase the first %d devices. Here is the decoding matrix:\n
\n", x);
  jerasure_print_bitmatrix(decoding_matrix, k*w, k*w, w);
  printf("
\n"); printf("And dm_ids:\n
\n");
  jerasure_print_matrix(dm_ids, 1, k, w);
  printf("

\n"); for (i = 0; i < x; i++) bzero(data[i], w*psize); printf("Here is the state of the system after the erasures:\n\n"); printf("

\n"); print_array(data, k, psize*w, psize, "D"); printf("

\n"); print_array(coding, m, psize*w, psize, "C"); printf("


\n"); for (i = 0; i < x; i++) { jerasure_bitmatrix_dotprod(k, w, decoding_matrix+i*(k*w*w), dm_ids, i, data, coding, w*psize, psize); } printf("Here is the state of the system after calling jerasure_bitmatrix_dotprod() %d time%s with the decoding matrix:\n\n", x, (x == 1) ? "" : "s"); printf("

\n"); print_array(data, k, psize*w, psize, "D"); printf("

\n"); print_array(coding, m, psize*w, psize, "C"); printf("


\n"); return 0; }