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+/* *
+ * 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 <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include "jerasure.h"
+
+#define talloc(type, num) (type *) malloc(sizeof(type)*(num))
+
+usage(char *s)
+{
+ fprintf(stderr, "usage: jerasure_04 k w - Performs the analogous bit-matrix operations to jerasure_03.\n\n");
+ fprintf(stderr, " It converts the matrix to a kw*kw bit matrix and does the same operations.\n");
+ fprintf(stderr, " k must be < 2^w.\n");
+ fprintf(stderr, "This demonstrates: jerasure_print_bitmatrix()\n");
+ fprintf(stderr, " jerasure_matrix_to_bitmatrix()\n");
+ fprintf(stderr, " jerasure_invertible_bitmatrix()\n");
+ fprintf(stderr, " jerasure_invert_bitmatrix()\n");
+ fprintf(stderr, " jerasure_matrix_multiply().\n");
+ if (s != NULL) fprintf(stderr, "%s\n", s);
+ exit(1);
+}
+
+int main(int argc, char **argv)
+{
+ unsigned int k, w, i, j, n;
+ int *matrix;
+ int *bitmatrix;
+ int *bitmatrix_copy;
+ int *inverse;
+ int *identity;
+
+ if (argc != 3) usage(NULL);
+ if (sscanf(argv[1], "%d", &k) == 0 || k <= 0) usage("Bad k");
+ if (sscanf(argv[2], "%d", &w) == 0 || w <= 0 || w > 31) usage("Bad w");
+ if (k >= (1 << w)) usage("K too big");
+
+ matrix = talloc(int, k*k);
+ bitmatrix_copy = talloc(int, k*w*k*w);
+ inverse = talloc(int, k*w*k*w);
+
+ for (i = 0; i < k; i++) {
+ for (j = 0; j < k; j++) {
+ n = i ^ ((1 << w)-1-j);
+ matrix[i*k+j] = (n == 0) ? 0 : galois_single_divide(1, n, w);
+ }
+ }
+ bitmatrix = jerasure_matrix_to_bitmatrix(k, k, w, matrix);
+
+ printf("<HTML><TITLE>jerasure_04");
+ for (i = 1; i < argc; i++) printf(" %s", argv[i]);
+ printf("</TITLE>\n");
+ printf("<h3>jerasure_04");
+ for (i = 1; i < argc; i++) printf(" %s", argv[i]);
+ printf("</h3>\n");
+ printf("<pre>\n");
+
+ printf("The Cauchy Bit-Matrix:\n");
+ jerasure_print_bitmatrix(bitmatrix, k*w, k*w, w);
+ memcpy(bitmatrix_copy, bitmatrix, sizeof(int)*k*w*k*w);
+ i = jerasure_invertible_bitmatrix(bitmatrix_copy, k*w);
+ printf("\nInvertible: %s\n", (i == 1) ? "Yes" : "No");
+ if (i == 1) {
+ printf("\nInverse:\n");
+ memcpy(bitmatrix_copy, bitmatrix, sizeof(int)*k*w*k*w);
+ i = jerasure_invert_bitmatrix(bitmatrix_copy, inverse, k*w);
+ jerasure_print_bitmatrix(inverse, k*w, k*w, w);
+ identity = jerasure_matrix_multiply(inverse, bitmatrix, k*w, k*w, k*w, k*w, 2);
+ printf("\nInverse times matrix (should be identity):\n");
+ jerasure_print_bitmatrix(identity, k*w, k*w, w);
+ }
+ return 0;
+}
+