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authorDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-07 18:45:59 +0000
committerDaniel Baumann <daniel.baumann@progress-linux.org>2024-04-07 18:45:59 +0000
commit19fcec84d8d7d21e796c7624e521b60d28ee21ed (patch)
tree42d26aa27d1e3f7c0b8bd3fd14e7d7082f5008dc /src/isa-l/examples/ec
parentInitial commit. (diff)
downloadceph-19fcec84d8d7d21e796c7624e521b60d28ee21ed.tar.xz
ceph-19fcec84d8d7d21e796c7624e521b60d28ee21ed.zip
Adding upstream version 16.2.11+ds.upstream/16.2.11+dsupstream
Signed-off-by: Daniel Baumann <daniel.baumann@progress-linux.org>
Diffstat (limited to 'src/isa-l/examples/ec')
-rw-r--r--src/isa-l/examples/ec/Makefile.am33
-rw-r--r--src/isa-l/examples/ec/Makefile.unx8
-rw-r--r--src/isa-l/examples/ec/ec_piggyback_example.c506
-rw-r--r--src/isa-l/examples/ec/ec_simple_example.c277
4 files changed, 824 insertions, 0 deletions
diff --git a/src/isa-l/examples/ec/Makefile.am b/src/isa-l/examples/ec/Makefile.am
new file mode 100644
index 000000000..e7121af83
--- /dev/null
+++ b/src/isa-l/examples/ec/Makefile.am
@@ -0,0 +1,33 @@
+########################################################################
+# Copyright(c) 2011-2018 Intel Corporation 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.
+# * Neither the name of Intel Corporation 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
+# OWNER 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.
+########################################################################
+
+src_include += -I $(srcdir)/examples/ec
+
+examples += examples/ec/ec_simple_example
+examples += examples/ec/ec_piggyback_example
diff --git a/src/isa-l/examples/ec/Makefile.unx b/src/isa-l/examples/ec/Makefile.unx
new file mode 100644
index 000000000..b04cfdfe6
--- /dev/null
+++ b/src/isa-l/examples/ec/Makefile.unx
@@ -0,0 +1,8 @@
+
+default: ex
+
+include ../../erasure_code/Makefile.am
+include Makefile.am
+include ../../make.inc
+
+VPATH = . ../../erasure_code ../../include
diff --git a/src/isa-l/examples/ec/ec_piggyback_example.c b/src/isa-l/examples/ec/ec_piggyback_example.c
new file mode 100644
index 000000000..e19abc067
--- /dev/null
+++ b/src/isa-l/examples/ec/ec_piggyback_example.c
@@ -0,0 +1,506 @@
+/**********************************************************************
+ Copyright(c) 2011-2018 Intel Corporation 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.
+ * Neither the name of Intel Corporation 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
+ OWNER 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.
+**********************************************************************/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <getopt.h>
+#include "erasure_code.h" // use <isa-l.h> instead when linking against installed
+#include "test.h"
+
+#define MMAX 255
+#define KMAX 255
+
+typedef unsigned char u8;
+int verbose = 0;
+
+int usage(void)
+{
+ fprintf(stderr,
+ "Usage: ec_piggyback_example [options]\n"
+ " -h Help\n"
+ " -k <val> Number of source fragments\n"
+ " -p <val> Number of parity fragments\n"
+ " -l <val> Length of fragments\n"
+ " -e <val> Simulate erasure on frag index val. Zero based. Can be repeated.\n"
+ " -v Verbose\n"
+ " -b Run timed benchmark\n"
+ " -s Toggle use of sparse matrix opt\n"
+ " -r <seed> Pick random (k, p) with seed\n");
+ exit(0);
+}
+
+// Cauchy-based matrix
+void gf_gen_full_pb_cauchy_matrix(u8 * a, int m, int k)
+{
+ int i, j, p = m - k;
+
+ // Identity matrix in top k x k to indicate a symetric code
+ memset(a, 0, k * m);
+ for (i = 0; i < k; i++)
+ a[k * i + i] = 1;
+
+ for (i = k; i < (k + p / 2); i++) {
+ for (j = 0; j < k / 2; j++)
+ a[k * i + j] = gf_inv(i ^ j);
+ for (; j < k; j++)
+ a[k * i + j] = 0;
+ }
+ for (; i < m; i++) {
+ for (j = 0; j < k / 2; j++)
+ a[k * i + j] = 0;
+ for (; j < k; j++)
+ a[k * i + j] = gf_inv((i - p / 2) ^ (j - k / 2));
+ }
+
+ // Fill in mixture of B parity depending on a few localized A sources
+ int r = 0, c = 0;
+ int repeat_len = k / (p - 2);
+ int parity_rows = p / 2;
+
+ for (i = 1 + k + parity_rows; i < m; i++, r++) {
+ if (r == (parity_rows - 1) - ((k / 2 % (parity_rows - 1))))
+ repeat_len++;
+
+ for (j = 0; j < repeat_len; j++, c++)
+ a[k * i + c] = gf_inv((k + 1) ^ c);
+ }
+}
+
+// Vandermonde based matrix - not recommended due to limits when invertable
+void gf_gen_full_pb_vand_matrix(u8 * a, int m, int k)
+{
+ int i, j, p = m - k;
+ unsigned char q, gen = 1;
+
+ // Identity matrix in top k x k to indicate a symetric code
+ memset(a, 0, k * m);
+ for (i = 0; i < k; i++)
+ a[k * i + i] = 1;
+
+ for (i = k; i < (k + (p / 2)); i++) {
+ q = 1;
+ for (j = 0; j < k / 2; j++) {
+ a[k * i + j] = q;
+ q = gf_mul(q, gen);
+ }
+ for (; j < k; j++)
+ a[k * i + j] = 0;
+ gen = gf_mul(gen, 2);
+ }
+ gen = 1;
+ for (; i < m; i++) {
+ q = 1;
+ for (j = 0; j < k / 2; j++) {
+ a[k * i + j] = 0;
+ }
+ for (; j < k; j++) {
+ a[k * i + j] = q;
+ q = gf_mul(q, gen);
+ }
+ gen = gf_mul(gen, 2);
+ }
+
+ // Fill in mixture of B parity depending on a few localized A sources
+ int r = 0, c = 0;
+ int repeat_len = k / (p - 2);
+ int parity_rows = p / 2;
+
+ for (i = 1 + k + parity_rows; i < m; i++, r++) {
+ if (r == (parity_rows - 1) - ((k / 2 % (parity_rows - 1))))
+ repeat_len++;
+
+ for (j = 0; j < repeat_len; j++)
+ a[k * i + c++] = 1;
+ }
+}
+
+void print_matrix(int m, int k, unsigned char *s, const char *msg)
+{
+ int i, j;
+
+ printf("%s:\n", msg);
+ for (i = 0; i < m; i++) {
+ printf("%3d- ", i);
+ for (j = 0; j < k; j++) {
+ printf(" %2x", 0xff & s[j + (i * k)]);
+ }
+ printf("\n");
+ }
+ printf("\n");
+}
+
+void print_list(int n, unsigned char *s, const char *msg)
+{
+ int i;
+ if (!verbose)
+ return;
+
+ printf("%s: ", msg);
+ for (i = 0; i < n; i++)
+ printf(" %d", s[i]);
+ printf("\n");
+}
+
+static int gf_gen_decode_matrix(u8 * encode_matrix,
+ u8 * decode_matrix,
+ u8 * invert_matrix,
+ u8 * temp_matrix,
+ u8 * decode_index,
+ u8 * frag_err_list, int nerrs, int k, int m);
+
+int main(int argc, char *argv[])
+{
+ int i, j, m, c, e, ret;
+ int k = 10, p = 4, len = 8 * 1024; // Default params
+ int nerrs = 0;
+ int benchmark = 0;
+ int sparse_matrix_opt = 1;
+
+ // Fragment buffer pointers
+ u8 *frag_ptrs[MMAX];
+ u8 *parity_ptrs[KMAX];
+ u8 *recover_srcs[KMAX];
+ u8 *recover_outp[KMAX];
+ u8 frag_err_list[MMAX];
+
+ // Coefficient matrices
+ u8 *encode_matrix, *decode_matrix;
+ u8 *invert_matrix, *temp_matrix;
+ u8 *g_tbls;
+ u8 decode_index[MMAX];
+
+ if (argc == 1)
+ for (i = 0; i < p; i++)
+ frag_err_list[nerrs++] = rand() % (k + p);
+
+ while ((c = getopt(argc, argv, "k:p:l:e:r:hvbs")) != -1) {
+ switch (c) {
+ case 'k':
+ k = atoi(optarg);
+ break;
+ case 'p':
+ p = atoi(optarg);
+ break;
+ case 'l':
+ len = atoi(optarg);
+ if (len < 0)
+ usage();
+ break;
+ case 'e':
+ e = atoi(optarg);
+ frag_err_list[nerrs++] = e;
+ break;
+ case 'r':
+ srand(atoi(optarg));
+ k = (rand() % MMAX) / 4;
+ k = (k < 2) ? 2 : k;
+ p = (rand() % (MMAX - k)) / 4;
+ p = (p < 2) ? 2 : p;
+ for (i = 0; i < k && nerrs < p; i++)
+ if (rand() & 1)
+ frag_err_list[nerrs++] = i;
+ break;
+ case 'v':
+ verbose++;
+ break;
+ case 'b':
+ benchmark = 1;
+ break;
+ case 's':
+ sparse_matrix_opt = !sparse_matrix_opt;
+ break;
+ case 'h':
+ default:
+ usage();
+ break;
+ }
+ }
+ m = k + p;
+
+ // Check for valid parameters
+ if (m > (MMAX / 2) || k > (KMAX / 2) || m < 0 || p < 2 || k < 1) {
+ printf(" Input test parameter error m=%d, k=%d, p=%d, erasures=%d\n",
+ m, k, p, nerrs);
+ usage();
+ }
+ if (nerrs > p) {
+ printf(" Number of erasures chosen exceeds power of code erasures=%d p=%d\n",
+ nerrs, p);
+ }
+ for (i = 0; i < nerrs; i++) {
+ if (frag_err_list[i] >= m)
+ printf(" fragment %d not in range\n", frag_err_list[i]);
+ }
+
+ printf("ec_piggyback_example:\n");
+
+ /*
+ * One simple way to implement piggyback codes is to keep a 2x wide matrix
+ * that covers the how each parity is related to both A and B sources. This
+ * keeps it easy to generalize in parameters m,k and the resulting sparse
+ * matrix multiplication can be optimized by pre-removal of zero items.
+ */
+
+ int k2 = 2 * k;
+ int p2 = 2 * p;
+ int m2 = k2 + p2;
+ int nerrs2 = nerrs;
+
+ encode_matrix = malloc(m2 * k2);
+ decode_matrix = malloc(m2 * k2);
+ invert_matrix = malloc(m2 * k2);
+ temp_matrix = malloc(m2 * k2);
+ g_tbls = malloc(k2 * p2 * 32);
+
+ if (encode_matrix == NULL || decode_matrix == NULL
+ || invert_matrix == NULL || temp_matrix == NULL || g_tbls == NULL) {
+ printf("Test failure! Error with malloc\n");
+ return -1;
+ }
+ // Allocate the src fragments
+ for (i = 0; i < k; i++) {
+ if (NULL == (frag_ptrs[i] = malloc(len))) {
+ printf("alloc error: Fail\n");
+ return -1;
+ }
+ }
+ // Allocate the parity fragments
+ for (i = 0; i < p2; i++) {
+ if (NULL == (parity_ptrs[i] = malloc(len / 2))) {
+ printf("alloc error: Fail\n");
+ return -1;
+ }
+ }
+
+ // Allocate buffers for recovered data
+ for (i = 0; i < p2; i++) {
+ if (NULL == (recover_outp[i] = malloc(len / 2))) {
+ printf("alloc error: Fail\n");
+ return -1;
+ }
+ }
+
+ // Fill sources with random data
+ for (i = 0; i < k; i++)
+ for (j = 0; j < len; j++)
+ frag_ptrs[i][j] = rand();
+
+ printf(" encode (m,k,p)=(%d,%d,%d) len=%d\n", m, k, p, len);
+
+ // Pick an encode matrix.
+ gf_gen_full_pb_cauchy_matrix(encode_matrix, m2, k2);
+
+ if (verbose)
+ print_matrix(m2, k2, encode_matrix, "encode matrix");
+
+ // Initialize g_tbls from encode matrix
+ ec_init_tables(k2, p2, &encode_matrix[k2 * k2], g_tbls);
+
+ // Fold A and B into single list of fragments
+ for (i = 0; i < k; i++)
+ frag_ptrs[i + k] = &frag_ptrs[i][len / 2];
+
+ if (!sparse_matrix_opt) {
+ // Standard encode using no assumptions on the encode matrix
+
+ // Generate EC parity blocks from sources
+ ec_encode_data(len / 2, k2, p2, g_tbls, frag_ptrs, parity_ptrs);
+
+ if (benchmark) {
+ struct perf start;
+ BENCHMARK(&start, BENCHMARK_TIME,
+ ec_encode_data(len / 2, k2, p2, g_tbls, frag_ptrs,
+ parity_ptrs));
+ printf("ec_piggyback_encode_std: ");
+ perf_print(start, m2 * len / 2);
+ }
+ } else {
+ // Sparse matrix optimization - use fact that input matrix is sparse
+
+ // Keep an encode matrix with some zero elements removed
+ u8 *encode_matrix_faster, *g_tbls_faster;
+ encode_matrix_faster = malloc(m * k);
+ g_tbls_faster = malloc(k * p * 32);
+ if (encode_matrix_faster == NULL || g_tbls_faster == NULL) {
+ printf("Test failure! Error with malloc\n");
+ return -1;
+ }
+
+ /*
+ * Pack with only the part that we know are non-zero. Alternatively
+ * we could search and keep track of non-zero elements but for
+ * simplicity we just skip the lower quadrant.
+ */
+ for (i = k, j = k2; i < m; i++, j++)
+ memcpy(&encode_matrix_faster[k * i], &encode_matrix[k2 * j], k);
+
+ if (verbose) {
+ print_matrix(p, k, &encode_matrix_faster[k * k],
+ "encode via sparse-opt");
+ print_matrix(p2 / 2, k2, &encode_matrix[(k2 + p2 / 2) * k2],
+ "encode via sparse-opt");
+ }
+ // Initialize g_tbls from encode matrix
+ ec_init_tables(k, p, &encode_matrix_faster[k * k], g_tbls_faster);
+
+ // Generate EC parity blocks from sources
+ ec_encode_data(len / 2, k, p, g_tbls_faster, frag_ptrs, parity_ptrs);
+ ec_encode_data(len / 2, k2, p, &g_tbls[k2 * p * 32], frag_ptrs,
+ &parity_ptrs[p]);
+
+ if (benchmark) {
+ struct perf start;
+ BENCHMARK(&start, BENCHMARK_TIME,
+ ec_encode_data(len / 2, k, p, g_tbls_faster, frag_ptrs,
+ parity_ptrs);
+ ec_encode_data(len / 2, k2, p, &g_tbls[k2 * p * 32],
+ frag_ptrs, &parity_ptrs[p]));
+ printf("ec_piggyback_encode_sparse: ");
+ perf_print(start, m2 * len / 2);
+ }
+ }
+
+ if (nerrs <= 0)
+ return 0;
+
+ printf(" recover %d fragments\n", nerrs);
+
+ // Set frag pointers to correspond to parity
+ for (i = k2; i < m2; i++)
+ frag_ptrs[i] = parity_ptrs[i - k2];
+
+ print_list(nerrs2, frag_err_list, " frag err list");
+
+ // Find a decode matrix to regenerate all erasures from remaining frags
+ ret = gf_gen_decode_matrix(encode_matrix, decode_matrix,
+ invert_matrix, temp_matrix, decode_index, frag_err_list,
+ nerrs2, k2, m2);
+
+ if (ret != 0) {
+ printf("Fail on generate decode matrix\n");
+ return -1;
+ }
+ // Pack recovery array pointers as list of valid fragments
+ for (i = 0; i < k2; i++)
+ if (decode_index[i] < k2)
+ recover_srcs[i] = frag_ptrs[decode_index[i]];
+ else
+ recover_srcs[i] = parity_ptrs[decode_index[i] - k2];
+
+ print_list(k2, decode_index, " decode index");
+
+ // Recover data
+ ec_init_tables(k2, nerrs2, decode_matrix, g_tbls);
+ ec_encode_data(len / 2, k2, nerrs2, g_tbls, recover_srcs, recover_outp);
+
+ if (benchmark) {
+ struct perf start;
+ BENCHMARK(&start, BENCHMARK_TIME,
+ ec_encode_data(len / 2, k2, nerrs2, g_tbls, recover_srcs,
+ recover_outp));
+ printf("ec_piggyback_decode: ");
+ perf_print(start, (k2 + nerrs2) * len / 2);
+ }
+ // Check that recovered buffers are the same as original
+ printf(" check recovery of block {");
+ for (i = 0; i < nerrs2; i++) {
+ printf(" %d", frag_err_list[i]);
+ if (memcmp(recover_outp[i], frag_ptrs[frag_err_list[i]], len / 2)) {
+ printf(" Fail erasure recovery %d, frag %d\n", i, frag_err_list[i]);
+ return -1;
+ }
+ }
+ printf(" } done all: Pass\n");
+
+ return 0;
+}
+
+// Generate decode matrix from encode matrix and erasure list
+
+static int gf_gen_decode_matrix(u8 * encode_matrix,
+ u8 * decode_matrix,
+ u8 * invert_matrix,
+ u8 * temp_matrix,
+ u8 * decode_index, u8 * frag_err_list, int nerrs, int k, int m)
+{
+ int i, j, p, r;
+ int nsrcerrs = 0;
+ u8 s, *b = temp_matrix;
+ u8 frag_in_err[MMAX];
+
+ memset(frag_in_err, 0, sizeof(frag_in_err));
+
+ // Order the fragments in erasure for easier sorting
+ for (i = 0; i < nerrs; i++) {
+ if (frag_err_list[i] < k)
+ nsrcerrs++;
+ frag_in_err[frag_err_list[i]] = 1;
+ }
+
+ // Construct b (matrix that encoded remaining frags) by removing erased rows
+ for (i = 0, r = 0; i < k; i++, r++) {
+ while (frag_in_err[r])
+ r++;
+ for (j = 0; j < k; j++)
+ b[k * i + j] = encode_matrix[k * r + j];
+ decode_index[i] = r;
+ }
+ if (verbose > 1)
+ print_matrix(k, k, b, "matrix to invert");
+
+ // Invert matrix to get recovery matrix
+ if (gf_invert_matrix(b, invert_matrix, k) < 0)
+ return -1;
+
+ if (verbose > 2)
+ print_matrix(k, k, invert_matrix, "matrix inverted");
+
+ // Get decode matrix with only wanted recovery rows
+ for (i = 0; i < nsrcerrs; i++) {
+ for (j = 0; j < k; j++) {
+ decode_matrix[k * i + j] = invert_matrix[k * frag_err_list[i] + j];
+ }
+ }
+
+ // For non-src (parity) erasures need to multiply encode matrix * invert
+ for (p = nsrcerrs; p < nerrs; p++) {
+ for (i = 0; i < k; i++) {
+ s = 0;
+ for (j = 0; j < k; j++)
+ s ^= gf_mul(invert_matrix[j * k + i],
+ encode_matrix[k * frag_err_list[p] + j]);
+
+ decode_matrix[k * p + i] = s;
+ }
+ }
+ if (verbose > 1)
+ print_matrix(nerrs, k, decode_matrix, "decode matrix");
+ return 0;
+}
diff --git a/src/isa-l/examples/ec/ec_simple_example.c b/src/isa-l/examples/ec/ec_simple_example.c
new file mode 100644
index 000000000..82efa6b48
--- /dev/null
+++ b/src/isa-l/examples/ec/ec_simple_example.c
@@ -0,0 +1,277 @@
+/**********************************************************************
+ Copyright(c) 2011-2018 Intel Corporation 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.
+ * Neither the name of Intel Corporation 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
+ OWNER 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.
+**********************************************************************/
+
+#include <stdio.h>
+#include <stdlib.h>
+#include <string.h>
+#include <getopt.h>
+#include "erasure_code.h" // use <isa-l.h> instead when linking against installed
+
+#define MMAX 255
+#define KMAX 255
+
+typedef unsigned char u8;
+
+int usage(void)
+{
+ fprintf(stderr,
+ "Usage: ec_simple_example [options]\n"
+ " -h Help\n"
+ " -k <val> Number of source fragments\n"
+ " -p <val> Number of parity fragments\n"
+ " -l <val> Length of fragments\n"
+ " -e <val> Simulate erasure on frag index val. Zero based. Can be repeated.\n"
+ " -r <seed> Pick random (k, p) with seed\n");
+ exit(0);
+}
+
+static int gf_gen_decode_matrix_simple(u8 * encode_matrix,
+ u8 * decode_matrix,
+ u8 * invert_matrix,
+ u8 * temp_matrix,
+ u8 * decode_index,
+ u8 * frag_err_list, int nerrs, int k, int m);
+
+int main(int argc, char *argv[])
+{
+ int i, j, m, c, e, ret;
+ int k = 10, p = 4, len = 8 * 1024; // Default params
+ int nerrs = 0;
+
+ // Fragment buffer pointers
+ u8 *frag_ptrs[MMAX];
+ u8 *recover_srcs[KMAX];
+ u8 *recover_outp[KMAX];
+ u8 frag_err_list[MMAX];
+
+ // Coefficient matrices
+ u8 *encode_matrix, *decode_matrix;
+ u8 *invert_matrix, *temp_matrix;
+ u8 *g_tbls;
+ u8 decode_index[MMAX];
+
+ if (argc == 1)
+ for (i = 0; i < p; i++)
+ frag_err_list[nerrs++] = rand() % (k + p);
+
+ while ((c = getopt(argc, argv, "k:p:l:e:r:h")) != -1) {
+ switch (c) {
+ case 'k':
+ k = atoi(optarg);
+ break;
+ case 'p':
+ p = atoi(optarg);
+ break;
+ case 'l':
+ len = atoi(optarg);
+ if (len < 0)
+ usage();
+ break;
+ case 'e':
+ e = atoi(optarg);
+ frag_err_list[nerrs++] = e;
+ break;
+ case 'r':
+ srand(atoi(optarg));
+ k = (rand() % (MMAX - 1)) + 1; // Pick k {1 to MMAX - 1}
+ p = (rand() % (MMAX - k)) + 1; // Pick p {1 to MMAX - k}
+
+ for (i = 0; i < k + p && nerrs < p; i++)
+ if (rand() & 1)
+ frag_err_list[nerrs++] = i;
+ break;
+ case 'h':
+ default:
+ usage();
+ break;
+ }
+ }
+ m = k + p;
+
+ // Check for valid parameters
+ if (m > MMAX || k > KMAX || m < 0 || p < 1 || k < 1) {
+ printf(" Input test parameter error m=%d, k=%d, p=%d, erasures=%d\n",
+ m, k, p, nerrs);
+ usage();
+ }
+ if (nerrs > p) {
+ printf(" Number of erasures chosen exceeds power of code erasures=%d p=%d\n",
+ nerrs, p);
+ usage();
+ }
+ for (i = 0; i < nerrs; i++) {
+ if (frag_err_list[i] >= m) {
+ printf(" fragment %d not in range\n", frag_err_list[i]);
+ usage();
+ }
+ }
+
+ printf("ec_simple_example:\n");
+
+ // Allocate coding matrices
+ encode_matrix = malloc(m * k);
+ decode_matrix = malloc(m * k);
+ invert_matrix = malloc(m * k);
+ temp_matrix = malloc(m * k);
+ g_tbls = malloc(k * p * 32);
+
+ if (encode_matrix == NULL || decode_matrix == NULL
+ || invert_matrix == NULL || temp_matrix == NULL || g_tbls == NULL) {
+ printf("Test failure! Error with malloc\n");
+ return -1;
+ }
+ // Allocate the src & parity buffers
+ for (i = 0; i < m; i++) {
+ if (NULL == (frag_ptrs[i] = malloc(len))) {
+ printf("alloc error: Fail\n");
+ return -1;
+ }
+ }
+
+ // Allocate buffers for recovered data
+ for (i = 0; i < p; i++) {
+ if (NULL == (recover_outp[i] = malloc(len))) {
+ printf("alloc error: Fail\n");
+ return -1;
+ }
+ }
+
+ // Fill sources with random data
+ for (i = 0; i < k; i++)
+ for (j = 0; j < len; j++)
+ frag_ptrs[i][j] = rand();
+
+ printf(" encode (m,k,p)=(%d,%d,%d) len=%d\n", m, k, p, len);
+
+ // Pick an encode matrix. A Cauchy matrix is a good choice as even
+ // large k are always invertable keeping the recovery rule simple.
+ gf_gen_cauchy1_matrix(encode_matrix, m, k);
+
+ // Initialize g_tbls from encode matrix
+ ec_init_tables(k, p, &encode_matrix[k * k], g_tbls);
+
+ // Generate EC parity blocks from sources
+ ec_encode_data(len, k, p, g_tbls, frag_ptrs, &frag_ptrs[k]);
+
+ if (nerrs <= 0)
+ return 0;
+
+ printf(" recover %d fragments\n", nerrs);
+
+ // Find a decode matrix to regenerate all erasures from remaining frags
+ ret = gf_gen_decode_matrix_simple(encode_matrix, decode_matrix,
+ invert_matrix, temp_matrix, decode_index,
+ frag_err_list, nerrs, k, m);
+ if (ret != 0) {
+ printf("Fail on generate decode matrix\n");
+ return -1;
+ }
+ // Pack recovery array pointers as list of valid fragments
+ for (i = 0; i < k; i++)
+ recover_srcs[i] = frag_ptrs[decode_index[i]];
+
+ // Recover data
+ ec_init_tables(k, nerrs, decode_matrix, g_tbls);
+ ec_encode_data(len, k, nerrs, g_tbls, recover_srcs, recover_outp);
+
+ // Check that recovered buffers are the same as original
+ printf(" check recovery of block {");
+ for (i = 0; i < nerrs; i++) {
+ printf(" %d", frag_err_list[i]);
+ if (memcmp(recover_outp[i], frag_ptrs[frag_err_list[i]], len)) {
+ printf(" Fail erasure recovery %d, frag %d\n", i, frag_err_list[i]);
+ return -1;
+ }
+ }
+
+ printf(" } done all: Pass\n");
+ return 0;
+}
+
+/*
+ * Generate decode matrix from encode matrix and erasure list
+ *
+ */
+
+static int gf_gen_decode_matrix_simple(u8 * encode_matrix,
+ u8 * decode_matrix,
+ u8 * invert_matrix,
+ u8 * temp_matrix,
+ u8 * decode_index, u8 * frag_err_list, int nerrs, int k,
+ int m)
+{
+ int i, j, p, r;
+ int nsrcerrs = 0;
+ u8 s, *b = temp_matrix;
+ u8 frag_in_err[MMAX];
+
+ memset(frag_in_err, 0, sizeof(frag_in_err));
+
+ // Order the fragments in erasure for easier sorting
+ for (i = 0; i < nerrs; i++) {
+ if (frag_err_list[i] < k)
+ nsrcerrs++;
+ frag_in_err[frag_err_list[i]] = 1;
+ }
+
+ // Construct b (matrix that encoded remaining frags) by removing erased rows
+ for (i = 0, r = 0; i < k; i++, r++) {
+ while (frag_in_err[r])
+ r++;
+ for (j = 0; j < k; j++)
+ b[k * i + j] = encode_matrix[k * r + j];
+ decode_index[i] = r;
+ }
+
+ // Invert matrix to get recovery matrix
+ if (gf_invert_matrix(b, invert_matrix, k) < 0)
+ return -1;
+
+ // Get decode matrix with only wanted recovery rows
+ for (i = 0; i < nerrs; i++) {
+ if (frag_err_list[i] < k) // A src err
+ for (j = 0; j < k; j++)
+ decode_matrix[k * i + j] =
+ invert_matrix[k * frag_err_list[i] + j];
+ }
+
+ // For non-src (parity) erasures need to multiply encode matrix * invert
+ for (p = 0; p < nerrs; p++) {
+ if (frag_err_list[p] >= k) { // A parity err
+ for (i = 0; i < k; i++) {
+ s = 0;
+ for (j = 0; j < k; j++)
+ s ^= gf_mul(invert_matrix[j * k + i],
+ encode_matrix[k * frag_err_list[p] + j]);
+ decode_matrix[k * p + i] = s;
+ }
+ }
+ }
+ return 0;
+}