예제 #1
0
int main(int argc, char **argv)
{
  uint32_t a, b, c;
  uint8_t *r1, *r2;
  uint16_t *r16;
  uint32_t *r32;
  int w, i;
  gf_t gf;

  if (argc != 2) usage(NULL);
  w = atoi(argv[1]);
  if (w <= 0 || w > 32) usage("Bad w");

  /* Get two random numbers in a and b */

  MOA_Seed(time(0));
  a = MOA_Random_W(w, 0);
  b = MOA_Random_W(w, 0);

  /* Create the proper instance of the gf_t object using defaults: */

  gf_init_easy(&gf, w);

  /* And multiply a and b using the galois field: */

  c = gf.multiply.w32(&gf, a, b);
  printf("%u * %u = %u\n", a, b, c);

  /* Divide the product by a and b */

  printf("%u / %u = %u\n", c, a, gf.divide.w32(&gf, c, a));
  printf("%u / %u = %u\n", c, b, gf.divide.w32(&gf, c, b));

  /* If w is 4, 8, 16 or 32, do a very small region operation */

  if (w == 4 || w == 8 || w == 16 || w == 32) {
    r1 = (uint8_t *) malloc(16);
    r2 = (uint8_t *) malloc(16);

    if (w == 4 || w == 8) {
      r1[0] = b;
      for (i = 1; i < 16; i++) r1[i] = MOA_Random_W(8, 1);
    } else if (w == 16) {
      r16 = (uint16_t *) r1;
      r16[0] = b;
      for (i = 1; i < 8; i++) r16[i] = MOA_Random_W(16, 1);
    } else {
      r32 = (uint32_t *) r1;
      r32[0] = b;
      for (i = 1; i < 4; i++) r32[i] = MOA_Random_W(32, 1);
    }

    gf.multiply_region.w32(&gf, r1, r2, a, 16, 0);
  
    printf("\nmultiply_region by 0x%x (%u)\n\n", a, a);
    printf("R1 (the source):  ");
    if (w == 4) {
      for (i = 0; i < 16; i++) printf(" %x %x", r1[i] >> 4, r1[i] & 0xf);
    } else if (w == 8) {
예제 #2
0
void MOA_Fill_Random_Region (void *reg, int size)
{
    uint32_t *r32;
    uint8_t *r8;
    int i;

    r32 = (uint32_t *) reg;
    r8 = (uint8_t *) reg;
    for (i = 0; i < size/4; i++) r32[i] = MOA_Random_32();
    for (i *= 4; i < size; i++) r8[i] = MOA_Random_W(8, 1);
}
예제 #3
0
파일: gf_example_5.c 프로젝트: AleksMx/qfs
int main(int argc, char **argv)
{
  uint16_t *a, *b;
  int i, j;
  gf_t gf;

  if (gf_init_hard(&gf, 16, GF_MULT_SPLIT_TABLE, GF_REGION_ALTMAP, GF_DIVIDE_DEFAULT, 
                   0, 16, 4, NULL, NULL) == 0) {
    fprintf(stderr, "gf_init_hard failed\n");
    exit(1);
  }

  a = (uint16_t *) malloc(200);
  b = (uint16_t *) malloc(200);

  a += 6;
  b += 6;

  MOA_Seed(0);

  for (i = 0; i < 30; i++) a[i] = MOA_Random_W(16, 1);

  gf.multiply_region.w32(&gf, a, b, 0x1234, 30*2, 0);

  printf("a: 0x%lx    b: 0x%lx\n", (unsigned long) a, (unsigned long) b);

  for (i = 0; i < 30; i += 10) {
    printf("\n");
    printf("  ");
    for (j = 0; j < 10; j++) printf(" %4d", i+j);
    printf("\n");

    printf("a:");
    for (j = 0; j < 10; j++) printf(" %04x", a[i+j]);
    printf("\n");

    printf("b:");
    for (j = 0; j < 10; j++) printf(" %04x", b[i+j]);
    printf("\n");
    printf("\n");
  }

  for (i = 0; i < 15; i ++) {
    printf("Word %2d: 0x%04x * 0x1234 = 0x%04x    ", i,
           gf.extract_word.w32(&gf, a, 30*2, i),
           gf.extract_word.w32(&gf, b, 30*2, i));
    printf("Word %2d: 0x%04x * 0x1234 = 0x%04x\n", i+15,
           gf.extract_word.w32(&gf, a, 30*2, i+15),
           gf.extract_word.w32(&gf, b, 30*2, i+15));
  }
  return 0;
}
예제 #4
0
int main(int argc, char **argv)
{
  unsigned char *x, *y;
  unsigned short *xs, *ys;
  unsigned int *xi, *yi;
  uint32_t seed;
  int *a32, *copy;
  int i;
  int w;
  
  if (argc != 3) usage(NULL);
  if (sscanf(argv[1], "%d", &w) == 0 || (w != 8 && w != 16 && w != 32)) usage("Bad w");
  if (sscanf(argv[2], "%d", &seed) == 0) usage("Bad seed");

  printf("<HTML><TITLE>reed_sol_04 %d %d</title>\n", w, seed);
  printf("<h3>reed_sol_04 %d %d</h3>\n", w, seed);
  printf("<pre>\n");

  MOA_Seed(seed);
  a32 = talloc(int, 4);
  copy = talloc(int, 4);
  y = (unsigned char *) a32;
  for (i = 0; i < 4*sizeof(int); i++) y[i] = MOA_Random_W(8, 1);
  memcpy(copy, a32, sizeof(int)*4);

  if (w == 8) {
    x = (unsigned char *) copy;
    y = (unsigned char *) a32;
    reed_sol_galois_w08_region_multby_2((char *) a32, sizeof(int)*4);
    for (i = 0; i < 4*sizeof(int)/sizeof(char); i++) {
       printf("Char %2d: %3u *2 = %3u\n", i, x[i], y[i]);
    }
  } else if (w == 16) {
    xs = (unsigned short *) copy;
    ys = (unsigned short *) a32;
    reed_sol_galois_w16_region_multby_2((char *) a32, sizeof(int)*4);
    for (i = 0; i < 4*sizeof(int)/sizeof(short); i++) {
       printf("Short %2d: %5u *2 = %5u\n", i, xs[i], ys[i]);
    }
  } else if (w == 32) {
    xi = (unsigned int *) copy;
    yi = (unsigned int *) a32;
    reed_sol_galois_w16_region_multby_2((char *) a32, sizeof(int)*4);
    for (i = 0; i < 4*sizeof(int)/sizeof(int); i++) {
       printf("Int %2d: %10u *2 = %10u\n", i, xi[i], yi[i]);
    }
  } 
}
예제 #5
0
파일: gf_general.c 프로젝트: XIEJD/CDStore
void gf_general_set_random(gf_general_t *v, int w, int zero_ok) 
{
  if (w <= 32) {
      v->w32 = MOA_Random_W(w, zero_ok);
  } else if (w <= 64) {
    while (1) {
      v->w64 = MOA_Random_64();
      if (v->w64 != 0 || zero_ok) return;
    }
  } else {
    while (1) {
      MOA_Random_128(v->w128);
      if (v->w128[0] != 0 || v->w128[1] != 0 || zero_ok) return;
    }
  }
}
예제 #6
0
파일: gf_general.c 프로젝트: XIEJD/CDStore
void gf_general_set_up_single_timing_test(int w, void *ra, void *rb, int size)
{
  void *top;
  gf_general_t g;
  uint8_t *r8, *r8a;
  uint16_t *r16;
  uint32_t *r32;
  uint64_t *r64;
  int i;

  top = rb+size;

  /* If w is 8, 16, 32, 64 or 128, fill the regions with random bytes.
     However, don't allow for zeros in rb, because that will screw up
     division.
     
     When w is 4, you fill the regions with random 4-bit words in each byte.

     Otherwise, treat every four bytes as an uint32_t
     and fill it with a random value mod (1 << w).
   */

  if (w == 8 || w == 16 || w == 32 || w == 64 || w == 128) {
    MOA_Fill_Random_Region (ra, size);
    while (rb < top) {
      gf_general_set_random(&g, w, 0);
      switch (w) {
        case 8: 
          r8 = (uint8_t *) rb;
          *r8 = g.w32;
          break;
        case 16: 
          r16 = (uint16_t *) rb;
          *r16 = g.w32;
          break;
        case 32: 
          r32 = (uint32_t *) rb;
          *r32 = g.w32;
          break;
        case 64:
          r64 = (uint64_t *) rb;
          *r64 = g.w64;
          break;
        case 128: 
          r64 = (uint64_t *) rb;
          r64[0] = g.w128[0];
          r64[1] = g.w128[1];
          break;
      }
      rb += (w/8);
    }
  } else if (w == 4) {
    r8a = (uint8_t *) ra;
    r8 = (uint8_t *) rb;
    while (r8 < (uint8_t *) top) {
      gf_general_set_random(&g, w, 1);
      *r8a = g.w32;
      gf_general_set_random(&g, w, 0);
      *r8 = g.w32;
      r8a++;
      r8++;
    }
  } else {
    r32 = (uint32_t *) ra;
    for (i = 0; i < size/4; i++) r32[i] = MOA_Random_W(w, 1);
    r32 = (uint32_t *) rb;
    for (i = 0; i < size/4; i++) r32[i] = MOA_Random_W(w, 0);
  }
}
예제 #7
0
int main(int argc, char **argv)
{
  int k, w, i, m, iterations, bufsize;
  int *matrix;
  char **data, **coding, **old_values;
  int *erasures, *erased;
  uint32_t seed;
  double t = 0, total_time = 0;
  gf_t *gf = NULL;
  
  if (argc < 8) 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 != 8 && w != 16 && w != 32)) usage("Bad w");
  if (sscanf(argv[4], "%d", &seed) == 0) usage("Bad seed");
  if (sscanf(argv[5], "%d", &iterations) == 0) usage("Bad iterations");
  if (sscanf(argv[6], "%d", &bufsize) == 0) usage("Bad bufsize");
  if (w <= 16 && k + m > (1 << w)) usage("k + m is too big");

  MOA_Seed(seed);

  gf = get_gf(w, argc, argv, 7); 

  if (gf == NULL) {
    usage("Invalid arguments given for GF!\n");
  }

  galois_change_technique(gf, w); 

  matrix = reed_sol_vandermonde_coding_matrix(k, m, w);

  printf("<HTML><TITLE>reed_sol_time_gf");
  for (i = 1; i < argc; i++) printf(" %s", argv[i]);
  printf("</TITLE>\n");
  printf("<h3>reed_sol_time_gf");
  for (i = 1; i < argc; i++) printf(" %s", argv[i]);
  printf("</h3>\n");
  printf("<pre>\n");

  printf("Last m rows of the generator matrix (G^T):\n\n");
  jerasure_print_matrix(matrix, m, k, w,NULL);
  printf("\n");

  data = talloc(char *, k);
  for (i = 0; i < k; i++) {
    data[i] = talloc(char, bufsize);
    MOA_Fill_Random_Region(data[i], bufsize);
  }

  coding = talloc(char *, m);
  old_values = talloc(char *, m);
  for (i = 0; i < m; i++) {
    coding[i] = talloc(char, bufsize);
    old_values[i] = talloc(char, bufsize);
  }

  for (i = 0; i < iterations; i++) {
    t = timing_now();
    jerasure_matrix_encode(k, m, w, matrix, data, coding, bufsize);
    total_time += timing_now() - t;
  }

  printf("Encode throughput for %d iterations: %.2f MB/s (%.2f sec)\n", iterations, (double)(k*iterations*bufsize/1024/1024) / total_time, total_time);
  
  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] = ((unsigned int)MOA_Random_W(w, 1))%(k+m);
    if (erased[erasures[i]] == 0) {
      erased[erasures[i]] = 1;
      memcpy(old_values[i], (erasures[i] < k) ? data[erasures[i]] : coding[erasures[i]-k], bufsize);
      bzero((erasures[i] < k) ? data[erasures[i]] : coding[erasures[i]-k], bufsize);
      i++;
    }
  }
  erasures[i] = -1;

  for (i = 0; i < iterations; i++) {
    t = timing_now();
    jerasure_matrix_decode(k, m, w, matrix, 1, erasures, data, coding, bufsize);
    total_time += timing_now() - t;
  }
  
  printf("Decode throughput for %d iterations: %.2f MB/s (%.2f sec)\n", iterations, (double)(k*iterations*bufsize/1024/1024) / total_time, total_time);

  for (i = 0; i < m; i++) {
    if (erasures[i] < k) {
      if (memcmp(data[erasures[i]], old_values[i], bufsize)) {
        fprintf(stderr, "Decoding failed for %d!\n", erasures[i]);
        exit(1);
      }
    } else {
      if (memcmp(coding[erasures[i]-k], old_values[i], bufsize)) {
        fprintf(stderr, "Decoding failed for %d!\n", erasures[i]);
        exit(1);
      }
    }
  }
  
  return 0;
}
예제 #8
0
int main(int argc, char **argv)
{
  int w, j, i, size, iterations;
  gf_t      gf;
  double timer, elapsed, dnum, num;
  uint8_t *ra, *rb, *mult4, *mult8;
  uint16_t *ra16, *rb16, *log16, *alog16;
  time_t t0;
  
  if (argc != 5) usage(NULL);
  if (sscanf(argv[1], "%d", &w) == 0) usage("Bad w\n");
  if (w != 4 && w != 8 && w != 16) usage("Bad w\n");
  if (sscanf(argv[2], "%ld", &t0) == 0) usage("Bad seed\n");
  if (sscanf(argv[3], "%d", &size) == 0) usage("Bad #elts\n");
  if (sscanf(argv[4], "%d", &iterations) == 0) usage("Bad iterations\n");
  if (t0 == -1) t0 = time(0);
  MOA_Seed(t0);

  num = size;

  gf_init_easy(&gf, w);
  
  printf("Seed: %ld\n", t0);

  if (w == 4 || w == 8) {
    ra = (uint8_t *) malloc(size);
    rb = (uint8_t *) malloc(size);

    if (ra == NULL || rb == NULL) { perror("malloc"); exit(1); }
  } else if (w == 16) {
    ra16 = (uint16_t *) malloc(size*2);
    rb16 = (uint16_t *) malloc(size*2);

    if (ra16 == NULL || rb16 == NULL) { perror("malloc"); exit(1); }
  }

  if (w == 4) {
    mult4 = gf_w4_get_mult_table(&gf);
    if (mult4 == NULL) {
      printf("Couldn't get inline multiplication table.\n");
      exit(1);
    }
    elapsed = 0;
    dnum = 0;
    for (i = 0; i < iterations; i++) {
      for (j = 0; j < size; j++) {
        ra[j] = MOA_Random_W(w, 1);
        rb[j] = MOA_Random_W(w, 1);
      }
      timer_start(&timer);
      for (j = 0; j < size; j++) {
        ra[j] = GF_W4_INLINE_MULTDIV(mult4, ra[j], rb[j]);
      }
      dnum += num;
      elapsed += timer_split(&timer);
    }
    printf("Inline mult:   %10.6lf s   Mops: %10.3lf    %10.3lf Mega-ops/s\n",
           elapsed, dnum/1024.0/1024.0, dnum/1024.0/1024.0/elapsed);

  }
  if (w == 8) {
    mult8 = gf_w8_get_mult_table(&gf);
    if (mult8 == NULL) {
      printf("Couldn't get inline multiplication table.\n");
      exit(1);
    }
    elapsed = 0;
    dnum = 0;
    for (i = 0; i < iterations; i++) {
      for (j = 0; j < size; j++) {
        ra[j] = MOA_Random_W(w, 1);
        rb[j] = MOA_Random_W(w, 1);
      }
      timer_start(&timer);
      for (j = 0; j < size; j++) {
        ra[j] = GF_W8_INLINE_MULTDIV(mult8, ra[j], rb[j]);
      }
      dnum += num;
      elapsed += timer_split(&timer);
    }
    printf("Inline mult:   %10.6lf s   Mops: %10.3lf    %10.3lf Mega-ops/s\n",
           elapsed, dnum/1024.0/1024.0, dnum/1024.0/1024.0/elapsed);
  }
  if (w == 16) {
    log16 = gf_w16_get_log_table(&gf);
    alog16 = gf_w16_get_mult_alog_table(&gf);
    if (log16 == NULL) {
      printf("Couldn't get inline multiplication table.\n");
      exit(1);
    }
    elapsed = 0;
    dnum = 0;
    for (i = 0; i < iterations; i++) {
      for (j = 0; j < size; j++) {
        ra16[j] = MOA_Random_W(w, 1);
        rb16[j] = MOA_Random_W(w, 1);
      }
      timer_start(&timer);
      for (j = 0; j < size; j++) {
        ra16[j] = GF_W16_INLINE_MULT(log16, alog16, ra16[j], rb16[j]);
      }
      dnum += num;
      elapsed += timer_split(&timer);
    }
    printf("Inline mult:   %10.6lf s   Mops: %10.3lf    %10.3lf Mega-ops/s\n",
           elapsed, dnum/1024.0/1024.0, dnum/1024.0/1024.0/elapsed);
  }
}
예제 #9
0
int main(int argc, char **argv)
{
  long l;
  int k, w, i, j, m;
  int *matrix;
  char **data, **coding, **dcopy, **ccopy;
  unsigned char uc;
  int *erasures, *erased;
  int *decoding_matrix, *dm_ids;
  uint32_t seed;
  
  if (argc != 5) 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 != 8 && w != 16 && w != 32)) usage("Bad w");
  if (sscanf(argv[4], "%u", &seed) == 0) usage("Bad seed");
  if (w <= 16 && k + m > (1 << w)) usage("k + m is too big");

  matrix = reed_sol_vandermonde_coding_matrix(k, m, w);

  printf("<HTML><TITLE>reed_sol_01 %d %d %d %d</title>\n", k, m, w, seed);
  printf("<h3>reed_sol_01 %d %d %d %d</h3>\n", k, m, w, seed);
  printf("<pre>\n");
  printf("Last m rows of the generator Matrix (G^T):\n\n");
  jerasure_print_matrix(matrix, m, k, w);
  printf("\n");

  MOA_Seed(seed);
  data = talloc(char *, k);
  dcopy = talloc(char *, k);
  for (i = 0; i < k; i++) {
    data[i] = talloc(char, sizeof(long));
    dcopy[i] = talloc(char, sizeof(long));
    for (j = 0; j < sizeof(long); j++) {
      uc = MOA_Random_W(8, 1);
      data[i][j] = (char) uc;
    }
    memcpy(dcopy[i], data[i], sizeof(long));
  }

  coding = talloc(char *, m);
  ccopy = talloc(char *, m);
  for (i = 0; i < m; i++) {
    coding[i] = talloc(char, sizeof(long));
    ccopy[i] = talloc(char, sizeof(long));
  }

  jerasure_matrix_encode(k, m, w, matrix, data, coding, sizeof(long));

  for (i = 0; i < m; i++) {
    memcpy(ccopy[i], coding[i], sizeof(long));
  }
  
  printf("Encoding Complete:\n\n");
  print_data_and_coding(k, m, w, sizeof(long), data, coding);

  erasures = talloc(int, (m+1));
  erased = talloc(int, (k+m));
  for (i = 0; i < m+k; i++) erased[i] = 0;
  l = 0;
  for (i = 0; i < m; ) {
    erasures[i] = MOA_Random_W(31, 0)%(k+m);
    if (erased[erasures[i]] == 0) {
      erased[erasures[i]] = 1;
      memcpy((erasures[i] < k) ? data[erasures[i]] : coding[erasures[i]-k], &l, sizeof(long));
      i++;
    }
  }
  erasures[i] = -1;

  printf("Erased %d random devices:\n\n", m);
  print_data_and_coding(k, m, w, sizeof(long), data, coding);
  
  i = jerasure_matrix_decode(k, m, w, matrix, 1, erasures, data, coding, sizeof(long));

  printf("State of the system after decoding:\n\n");
  print_data_and_coding(k, m, w, sizeof(long), data, coding);
  
  for (i = 0; i < k; i++) if (memcmp(data[i], dcopy[i], sizeof(long)) != 0) {
    printf("ERROR: D%x after decoding does not match its state before decoding!<br>\n", i);
  }
  for (i = 0; i < m; i++) if (memcmp(coding[i], ccopy[i], sizeof(long)) != 0) {
    printf("ERROR: C%x after decoding does not match its state before decoding!<br>\n", i);
  }

  return 0;
}
예제 #10
0
int main(int argc, char **argv)
{
  long l;
  int k, w, i, j, m;
  int *matrix;
  char **data, **coding, **old_values;
  int *erasures, *erased;
  int *decoding_matrix, *dm_ids;
  gf_t *gf = NULL;
  uint32_t seed;
  
  if (argc < 6) usage("Not enough command line arguments");  
  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 != 8 && w != 16 && w != 32)) usage("Bad w");
  if (sscanf(argv[4], "%d", &seed) == 0) usage("Bad seed");
  if (w <= 16 && k + m > (1 << w)) usage("k + m is too big");

  MOA_Seed(seed);

  gf = get_gf(w, argc, argv, 5); 

  if (gf == NULL) {
    usage("Invalid arguments given for GF!\n");
  }

  galois_change_technique(gf, w); 

  matrix = reed_sol_vandermonde_coding_matrix(k, m, w);

  printf("<HTML><TITLE>reed_sol_test_gf");
  for (i = 1; i < argc; i++) printf(" %s", argv[i]);
  printf("</TITLE>\n");
  printf("<h3>reed_sol_test_gf");
  for (i = 1; i < argc; i++) printf(" %s", argv[i]);
  printf("</h3>\n");
  printf("<pre>\n");

  printf("Last m rows of the generator matrix (G^T):\n\n");
  jerasure_print_matrix(matrix, m, k, w);
  printf("\n");

  data = talloc(char *, k);
  for (i = 0; i < k; i++) {
    data[i] = talloc(char, BUFSIZE);
    MOA_Fill_Random_Region(data[i], BUFSIZE);
  }

  coding = talloc(char *, m);
  old_values = talloc(char *, m);
  for (i = 0; i < m; i++) {
    coding[i] = talloc(char, BUFSIZE);
    old_values[i] = talloc(char, BUFSIZE);
  }

  jerasure_matrix_encode(k, m, w, matrix, data, coding, BUFSIZE);
  
  erasures = talloc(int, (m+1));
  erased = talloc(int, (k+m));
  for (i = 0; i < m+k; i++) erased[i] = 0;
  l = 0;
  for (i = 0; i < m; ) {
    erasures[i] = ((unsigned int)MOA_Random_W(w,1))%(k+m);
    if (erased[erasures[i]] == 0) {
      erased[erasures[i]] = 1;
      memcpy(old_values[i], (erasures[i] < k) ? data[erasures[i]] : coding[erasures[i]-k], BUFSIZE);
      bzero((erasures[i] < k) ? data[erasures[i]] : coding[erasures[i]-k], BUFSIZE);
      i++;
    }
  }
  erasures[i] = -1;

  i = jerasure_matrix_decode(k, m, w, matrix, 1, erasures, data, coding, BUFSIZE);

  for (i = 0; i < m; i++) {
    if (erasures[i] < k) {
      if (memcmp(data[erasures[i]], old_values[i], BUFSIZE)) {
        fprintf(stderr, "Decoding failed for %d!\n", erasures[i]);
        exit(1);
      }
    } else {
      if (memcmp(coding[erasures[i]-k], old_values[i], BUFSIZE)) {
        fprintf(stderr, "Decoding failed for %d!\n", erasures[i]);
        exit(1);
      }
    }
  }
  
  printf("Encoding and decoding were both successful.\n");
  return 0;
}
예제 #11
0
int main(int argc, char **argv)
{
  int k, m, w, size;
  int i, j;
  int *matrix;
  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 != 8 && w != 16 && w != 32)) usage("Bad w");
  if (w < 32 && k + m > (1 << w)) usage("k + m must be <= 2 ^ w");
  if (sscanf(argv[4], "%d", &size) == 0 || size % sizeof(long) != 0) 
		usage("size must be multiple of sizeof(long)");
  if (sscanf(argv[5], "%d", &seed) == 0) usage("Bad 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);
    }
  }

  printf("<HTML><TITLE>jerasure_05");
  for (i = 1; i < argc; i++) printf(" %s", argv[i]);
  printf("</TITLE>\n");
  printf("<h3>jerasure_05");
  for (i = 1; i < argc; i++) printf(" %s", argv[i]);
  printf("</h3>\n");
  printf("<pre>\n");

  printf("The Coding Matrix (the last m rows of the Generator Matrix G^T):\n\n");
  jerasure_print_matrix(matrix, m, k, w);
  printf("\n");

  MOA_Seed(seed);
  data = talloc(char *, k);
  for (i = 0; i < k; i++) {
    data[i] = talloc(char, size);
    MOA_Fill_Random_Region(data[i], size);
  }

  coding = talloc(char *, m);
  for (i = 0; i < m; i++) {
    coding[i] = talloc(char, size);
  }

  jerasure_matrix_encode(k, m, w, matrix, data, coding, size);
  
  printf("Encoding Complete:\n\n");
  print_data_and_coding(k, m, w, size, data, coding);

  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], size);
      i++;
    }
  }
  erasures[i] = -1;

  printf("Erased %d random devices:\n\n", m);
  print_data_and_coding(k, m, w, size, data, coding);
  
  i = jerasure_matrix_decode(k, m, w, matrix, 0, erasures, data, coding, size);

  printf("State of the system after decoding:\n\n");
  print_data_and_coding(k, m, w, size, data, coding);
  
  decoding_matrix = talloc(int, k*k);
  dm_ids = talloc(int, k);

  for (i = 0; i < m; i++) erased[i] = 1;
  for (; i < k+m; i++) erased[i] = 0;

  jerasure_make_decoding_matrix(k, m, w, matrix, erased, decoding_matrix, dm_ids);

  printf("Suppose we erase the first %d devices.  Here is the decoding matrix:\n\n", m);
  jerasure_print_matrix(decoding_matrix, k, k, w);
  printf("\n");
  printf("And dm_ids:\n\n");
  jerasure_print_matrix(dm_ids, 1, k, w);

  bzero(data[0], size);
  jerasure_matrix_dotprod(k, w, decoding_matrix, dm_ids, 0, data, coding, size);

  printf("\nAfter calling jerasure_matrix_dotprod, we calculate the value of device #0 to be:\n\n");
  printf("D0 :");
  for(i=0;i< size; i+=(w/8)) {
	  printf(" ");
	  for(j=0;j < w/8;j++){
		printf("%02x", (unsigned char)data[0][i+j]);
	  }
  }
  printf("\n\n");

  return 0;
}