initial code repo
[stor4nfv.git] / src / ceph / src / test / erasure-code / TestErasureCodeIsa.cc
diff --git a/src/ceph/src/test/erasure-code/TestErasureCodeIsa.cc b/src/ceph/src/test/erasure-code/TestErasureCodeIsa.cc
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+// -*- mode:C++; tab-width:8; c-basic-offset:2; indent-tabs-mode:t -*-
+/*
+ * Ceph - scalable distributed file system
+ *
+ * Copyright (C) 2014 CERN (Switzerland)
+ * Copyright (C) 2014 Red Hat <contact@redhat.com>
+ *
+ * Author: Andreas-Joachim Peters <Andreas.Joachim.Peters@cern.ch>
+ * Author: Loic Dachary <loic@dachary.org>
+ *
+ *  This library is free software; you can redistribute it and/or
+ *  modify it under the terms of the GNU Lesser General Public
+ *  License as published by the Free Software Foundation; either
+ *  version 2.1 of the License, or (at your option) any later version.
+ *
+ */
+
+#include <errno.h>
+#include <stdlib.h>
+
+#include "crush/CrushWrapper.h"
+#include "include/stringify.h"
+#include "erasure-code/isa/ErasureCodeIsa.h"
+#include "erasure-code/isa/xor_op.h"
+#include "global/global_context.h"
+#include "common/config.h"
+#include "gtest/gtest.h"
+
+ErasureCodeIsaTableCache tcache;
+
+class IsaErasureCodeTest : public ::testing::Test {
+public:
+  void compare_chunks(bufferlist &in, map<int, bufferlist> &encoded);
+  void encode_decode(unsigned object_size); 
+};
+
+void IsaErasureCodeTest::compare_chunks(bufferlist &in, map<int, bufferlist> &encoded)
+{
+  unsigned object_size = in.length();
+  unsigned chunk_size = encoded[0].length();
+  for (unsigned i = 0; i < encoded.size(); i++) {
+    if (i * chunk_size >= object_size)
+      break;
+    int chunk_length = object_size > (i + 1) * chunk_size ? chunk_size : object_size - i * chunk_size;
+    EXPECT_EQ(0, memcmp(encoded[i].c_str(), in.c_str() + i * chunk_size, chunk_length));
+  }
+}
+
+void IsaErasureCodeTest::encode_decode(unsigned object_size)
+{
+  ErasureCodeIsaDefault Isa(tcache);
+
+  ErasureCodeProfile profile;
+  profile["k"] = "2";
+  profile["m"] = "2";
+  Isa.init(profile, &cerr);
+
+  string payload(object_size, 'X');
+  bufferlist in;
+  // may be multiple bufferptr if object_size is larger than CEPH_PAGE_SIZE
+  in.append(payload.c_str(), payload.length());
+  int want_to_encode[] = {0, 1, 2, 3};
+  map<int, bufferlist> encoded;
+  EXPECT_EQ(0, Isa.encode(set<int>(want_to_encode, want_to_encode + 4),
+                          in,
+                          &encoded));
+  EXPECT_EQ(4u, encoded.size());
+  unsigned chunk_size = encoded[0].length();
+  EXPECT_EQ(chunk_size, Isa.get_chunk_size(object_size));
+  compare_chunks(in, encoded);
+
+  // all chunks are available
+  {
+    int want_to_decode[] = {0, 1};
+    map<int, bufferlist> decoded;
+    EXPECT_EQ(0, Isa.decode(set<int>(want_to_decode, want_to_decode + 2),
+                            encoded,
+                            &decoded));
+    EXPECT_EQ(2u, decoded.size());
+    EXPECT_EQ(chunk_size, decoded[0].length());
+    compare_chunks(in, decoded);
+  }
+
+  // one data chunk is missing
+  {
+    map<int, bufferlist> degraded = encoded;
+
+    string enc1(encoded[1].c_str(), chunk_size);
+
+    degraded.erase(1);
+    EXPECT_EQ(3u, degraded.size());
+    int want_to_decode[] = {1};
+    map<int, bufferlist> decoded;
+    EXPECT_EQ(0, Isa.decode(set<int>(want_to_decode, want_to_decode + 1),
+                            degraded,
+                            &decoded));
+    // always decode all, regardless of want_to_decode
+    EXPECT_EQ(4u, decoded.size());
+    EXPECT_EQ(chunk_size, decoded[1].length());
+    EXPECT_EQ(0, memcmp(decoded[1].c_str(), enc1.c_str(), chunk_size));
+  }
+
+  // non-xor coding chunk is missing
+  {
+    map<int, bufferlist> degraded = encoded;
+
+    string enc3(encoded[3].c_str(), chunk_size);
+
+    degraded.erase(3);
+    EXPECT_EQ(3u, degraded.size());
+    int want_to_decode[] = {3};
+    map<int, bufferlist> decoded;
+    EXPECT_EQ(0, Isa.decode(set<int>(want_to_decode, want_to_decode + 1),
+                            degraded,
+                            &decoded));
+    // always decode all, regardless of want_to_decode
+    EXPECT_EQ(4u, decoded.size());
+    EXPECT_EQ(chunk_size, decoded[3].length());
+    EXPECT_EQ(0, memcmp(decoded[3].c_str(), enc3.c_str(), chunk_size));
+  }
+
+  // xor coding chunk is missing
+  {
+    map<int, bufferlist> degraded = encoded;
+
+    string enc2(encoded[2].c_str(), chunk_size);
+
+    degraded.erase(2);
+    EXPECT_EQ(3u, degraded.size());
+    int want_to_decode[] = {2};
+    map<int, bufferlist> decoded;
+    EXPECT_EQ(0, Isa.decode(set<int>(want_to_decode, want_to_decode + 1),
+                            degraded,
+                            &decoded));
+    // always decode all, regardless of want_to_decode
+    EXPECT_EQ(4u, decoded.size());
+    EXPECT_EQ(chunk_size, decoded[2].length());
+    EXPECT_EQ(0, memcmp(decoded[2].c_str(), enc2.c_str(), chunk_size));
+  }
+
+  // one data and one coding chunk is missing
+  {
+    map<int, bufferlist> degraded = encoded;
+
+    string enc3(encoded[3].c_str(), chunk_size);
+
+    degraded.erase(1);
+    degraded.erase(3);
+    EXPECT_EQ(2u, degraded.size());
+    int want_to_decode[] = {1, 3};
+    map<int, bufferlist> decoded;
+    EXPECT_EQ(0, Isa.decode(set<int>(want_to_decode, want_to_decode + 2),
+                            degraded,
+                            &decoded));
+    // always decode all, regardless of want_to_decode
+    EXPECT_EQ(4u, decoded.size());
+    EXPECT_EQ(chunk_size, decoded[1].length());
+    EXPECT_EQ(0, memcmp(decoded[3].c_str(), enc3.c_str(), chunk_size));
+  }
+
+  // two data chunks are missing
+  {
+    map<int, bufferlist> degraded = encoded;
+    degraded.erase(0);
+    degraded.erase(1);
+    EXPECT_EQ(2u, degraded.size());
+    int want_to_decode[] = {0, 1};
+    map<int, bufferlist> decoded;
+    EXPECT_EQ(0, Isa.decode(set<int>(want_to_decode, want_to_decode + 2),
+                            degraded,
+                            &decoded));
+    // always decode all, regardless of want_to_decode
+    EXPECT_EQ(4u, decoded.size());
+    EXPECT_EQ(chunk_size, decoded[0].length());
+    compare_chunks(in, decoded);
+  }
+
+}
+
+TEST_F(IsaErasureCodeTest, encode_decode)
+{
+  encode_decode(1);
+  encode_decode(EC_ISA_ADDRESS_ALIGNMENT);
+  encode_decode(EC_ISA_ADDRESS_ALIGNMENT + 1);
+  encode_decode(2048);
+  encode_decode(4096);
+  encode_decode(4096 + 1);
+}
+
+TEST_F(IsaErasureCodeTest, minimum_to_decode)
+{
+  ErasureCodeIsaDefault Isa(tcache);
+  ErasureCodeProfile profile;
+  profile["k"] = "2";
+  profile["m"] = "2";
+  Isa.init(profile, &cerr);
+
+  //
+  // If trying to read nothing, the minimum is empty.
+  //
+  {
+    set<int> want_to_read;
+    set<int> available_chunks;
+    set<int> minimum;
+
+    EXPECT_EQ(0, Isa.minimum_to_decode(want_to_read,
+                                       available_chunks,
+                                       &minimum));
+    EXPECT_TRUE(minimum.empty());
+  }
+  //
+  // There is no way to read a chunk if none are available.
+  //
+  {
+    set<int> want_to_read;
+    set<int> available_chunks;
+    set<int> minimum;
+
+    want_to_read.insert(0);
+
+    EXPECT_EQ(-EIO, Isa.minimum_to_decode(want_to_read,
+                                          available_chunks,
+                                          &minimum));
+  }
+  //
+  // Reading a subset of the available chunks is always possible.
+  //
+  {
+    set<int> want_to_read;
+    set<int> available_chunks;
+    set<int> minimum;
+
+    want_to_read.insert(0);
+    available_chunks.insert(0);
+
+    EXPECT_EQ(0, Isa.minimum_to_decode(want_to_read,
+                                       available_chunks,
+                                       &minimum));
+    EXPECT_EQ(want_to_read, minimum);
+  }
+  //
+  // There is no way to read a missing chunk if there is less than k
+  // chunks available.
+  //
+  {
+    set<int> want_to_read;
+    set<int> available_chunks;
+    set<int> minimum;
+
+    want_to_read.insert(0);
+    want_to_read.insert(1);
+    available_chunks.insert(0);
+
+    EXPECT_EQ(-EIO, Isa.minimum_to_decode(want_to_read,
+                                          available_chunks,
+                                          &minimum));
+  }
+  //
+  // When chunks are not available, the minimum can be made of any
+  // chunks. For instance, to read 1 and 3 below the minimum could be
+  // 2 and 3 which may seem better because it contains one of the
+  // chunks to be read. But it won't be more efficient than retrieving
+  // 0 and 2 instead because, in both cases, the decode function will
+  // need to run the same recovery operation and use the same amount
+  // of CPU and memory.
+  //
+  {
+    set<int> want_to_read;
+    set<int> available_chunks;
+    set<int> minimum;
+
+    want_to_read.insert(1);
+    want_to_read.insert(3);
+    available_chunks.insert(0);
+    available_chunks.insert(2);
+    available_chunks.insert(3);
+
+    EXPECT_EQ(0, Isa.minimum_to_decode(want_to_read,
+                                       available_chunks,
+                                       &minimum));
+    EXPECT_EQ(2u, minimum.size());
+    EXPECT_EQ(0u, minimum.count(3));
+  }
+}
+
+TEST_F(IsaErasureCodeTest, chunk_size)
+{
+  {
+    ErasureCodeIsaDefault Isa(tcache);
+    ErasureCodeProfile profile;
+    profile["k"] = "2";
+    profile["m"] = "1";
+    Isa.init(profile, &cerr);
+    const int k = 2;
+
+    ASSERT_EQ(EC_ISA_ADDRESS_ALIGNMENT, Isa.get_chunk_size(1));
+    ASSERT_EQ(EC_ISA_ADDRESS_ALIGNMENT, Isa.get_chunk_size(EC_ISA_ADDRESS_ALIGNMENT * k - 1));
+    ASSERT_EQ(EC_ISA_ADDRESS_ALIGNMENT * 2, Isa.get_chunk_size(EC_ISA_ADDRESS_ALIGNMENT * k + 1));
+  }
+  {
+    ErasureCodeIsaDefault Isa(tcache);
+    ErasureCodeProfile profile;
+    profile["k"] = "3";
+    profile["m"] = "1";
+    Isa.init(profile, &cerr);
+    const int k = 3;
+
+    ASSERT_EQ(EC_ISA_ADDRESS_ALIGNMENT, Isa.get_chunk_size(1));
+    ASSERT_EQ(EC_ISA_ADDRESS_ALIGNMENT, Isa.get_chunk_size(EC_ISA_ADDRESS_ALIGNMENT * k - 1));
+    ASSERT_EQ(EC_ISA_ADDRESS_ALIGNMENT * 2, Isa.get_chunk_size(EC_ISA_ADDRESS_ALIGNMENT * k + 1));
+    unsigned object_size = EC_ISA_ADDRESS_ALIGNMENT * k * 1024 + 1;
+    ASSERT_NE(0u, object_size % k);
+    ASSERT_NE(0u, object_size % EC_ISA_ADDRESS_ALIGNMENT);
+    unsigned chunk_size = Isa.get_chunk_size(object_size);
+    ASSERT_EQ(0u, chunk_size % EC_ISA_ADDRESS_ALIGNMENT);
+    ASSERT_GT(chunk_size, (chunk_size * k) - object_size);
+  }
+}
+
+TEST_F(IsaErasureCodeTest, encode)
+{
+  ErasureCodeIsaDefault Isa(tcache);
+  ErasureCodeProfile profile;
+  profile["k"] = "2";
+  profile["m"] = "2";
+  Isa.init(profile, &cerr);
+
+  unsigned aligned_object_size = Isa.get_alignment() * 2;
+  {
+    //
+    // When the input bufferlist needs to be padded because
+    // it is not properly aligned, it is padded with zeros.
+    //
+    bufferlist in;
+    map<int,bufferlist> encoded;
+    int want_to_encode[] = { 0, 1, 2, 3 };
+    int trail_length = 1;
+    in.append(string(aligned_object_size + trail_length, 'X'));
+    EXPECT_EQ(0, Isa.encode(set<int>(want_to_encode, want_to_encode+4),
+                                in,
+                                &encoded));
+    EXPECT_EQ(4u, encoded.size());
+    char *last_chunk = encoded[1].c_str();
+    int length =encoded[1].length();
+    EXPECT_EQ('X', last_chunk[0]);
+    EXPECT_EQ('\0', last_chunk[length - trail_length]);
+  }
+
+  {
+    //
+    // When only the first chunk is required, the encoded map only
+    // contains the first chunk. Although the Isa encode
+    // internally allocated a buffer because of padding requirements
+    // and also computes the coding chunks, they are released before
+    // the return of the method, as shown when running the tests thru
+    // valgrind (there is no leak).
+    //
+    bufferlist in;
+    map<int,bufferlist> encoded;
+    set<int> want_to_encode;
+    want_to_encode.insert(0);
+    int trail_length = 1;
+    in.append(string(aligned_object_size + trail_length, 'X'));
+    EXPECT_EQ(0, Isa.encode(want_to_encode, in, &encoded));
+    EXPECT_EQ(1u, encoded.size());
+  }
+}
+
+TEST_F(IsaErasureCodeTest, sanity_check_k)
+{
+  ErasureCodeIsaDefault Isa(tcache);
+  ErasureCodeProfile profile;
+  profile["k"] = "1";
+  profile["m"] = "1";
+  ostringstream errors;
+  EXPECT_EQ(-EINVAL, Isa.init(profile, &errors));
+  EXPECT_NE(std::string::npos, errors.str().find("must be >= 2"));
+}
+
+bool
+DecodeAndVerify(ErasureCodeIsaDefault& Isa, map<int, bufferlist> &degraded, set<int> want_to_decode, buffer::ptr* enc, int length)
+{
+  map<int, bufferlist> decoded;
+  bool ok;
+
+  // decode as requested
+  ok = Isa.decode(want_to_decode,
+                  degraded,
+                  &decoded);
+
+  for (int i = 0; i < (int) decoded.size(); i++) {
+    // compare all the buffers with their original
+    ok |= memcmp(decoded[i].c_str(), enc[i].c_str(), length);
+  }
+
+  return ok;
+}
+
+TEST_F(IsaErasureCodeTest, isa_vandermonde_exhaustive)
+{
+  // Test all possible failure scenarios and reconstruction cases for
+  // a (12,4) configuration using the vandermonde matrix
+
+  ErasureCodeIsaDefault Isa(tcache);
+  ErasureCodeProfile profile;
+  profile["k"] = "12";
+  profile["m"] = "4";
+  Isa.init(profile, &cerr);
+
+  const int k = 12;
+  const int m = 4;
+
+#define LARGE_ENOUGH 2048
+  bufferptr in_ptr(buffer::create_page_aligned(LARGE_ENOUGH));
+  in_ptr.zero();
+  in_ptr.set_length(0);
+  const char *payload =
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789";
+  in_ptr.append(payload, strlen(payload));
+  bufferlist in;
+  in.push_front(in_ptr);
+
+  set<int>want_to_encode;
+
+  map<int, bufferlist> encoded;
+  for (int i = 0; i < (k + m); i++) {
+    want_to_encode.insert(i);
+  }
+
+
+  EXPECT_EQ(0, Isa.encode(want_to_encode,
+                          in,
+                          &encoded));
+
+  EXPECT_EQ((unsigned) (k + m), encoded.size());
+
+  unsigned length = encoded[0].length();
+
+  for (int i = 0; i < k; i++) {
+    EXPECT_EQ(0, memcmp(encoded[i].c_str(), in.c_str() + (i * length), length));
+  }
+
+  buffer::ptr enc[k + m];
+  // create buffers with a copy of the original data to be able to compare it after decoding
+  {
+    for (int i = 0; i < (k + m); i++) {
+      buffer::ptr newenc(buffer::create_page_aligned(LARGE_ENOUGH));
+      enc[i] = newenc;
+      enc[i].zero();
+      enc[i].set_length(0);
+      enc[i].append(encoded[i].c_str(), length);
+    }
+  }
+
+  // loop through all possible loss scenarios
+  int cnt_cf = 0;
+
+  for (int l1 = 0; l1 < (k + m); l1++) {
+    map<int, bufferlist> degraded = encoded;
+    set<int> want_to_decode;
+    bool err;
+    degraded.erase(l1);
+    want_to_decode.insert(l1);
+    err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+    EXPECT_EQ(0, err);
+    cnt_cf++;
+    for (int l2 = l1 + 1; l2 < (k + m); l2++) {
+      degraded.erase(l2);
+      want_to_decode.insert(l2);
+      err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+      EXPECT_EQ(0, err);
+      cnt_cf++;
+      for (int l3 = l2 + 1; l3 < (k + m); l3++) {
+        degraded.erase(l3);
+        want_to_decode.insert(l3);
+        err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+        EXPECT_EQ(0, err);
+        cnt_cf++;
+        for (int l4 = l3 + 1; l4 < (k + m); l4++) {
+          degraded.erase(l4);
+          want_to_decode.insert(l4);
+          err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+          EXPECT_EQ(0, err);
+          degraded[l4] = encoded[l4];
+          want_to_decode.erase(l4);
+          cnt_cf++;
+        }
+        degraded[l3] = encoded[l3];
+        want_to_decode.erase(l3);
+      }
+      degraded[l2] = encoded[l2];
+      want_to_decode.erase(l2);
+    }
+    degraded[l1] = encoded[l1];
+    want_to_decode.erase(l1);
+  }
+  EXPECT_EQ(2516, cnt_cf);
+  EXPECT_EQ(2506, tcache.getDecodingTableCacheSize()); // 3 entries from (2,2) test and 2503 from (12,4)
+}
+
+TEST_F(IsaErasureCodeTest, isa_cauchy_exhaustive)
+{
+  // Test all possible failure scenarios and reconstruction cases for
+  // a (12,4) configuration using the cauchy matrix
+  ErasureCodeIsaDefault Isa(tcache,ErasureCodeIsaDefault::kCauchy);
+  ErasureCodeProfile profile;
+  profile["k"] = "12";
+  profile["m"] = "4";
+  profile["technique"] = "cauchy";
+
+  Isa.init(profile, &cerr);
+
+  const int k = 12;
+  const int m = 4;
+
+#define LARGE_ENOUGH 2048
+  bufferptr in_ptr(buffer::create_page_aligned(LARGE_ENOUGH));
+  in_ptr.zero();
+  in_ptr.set_length(0);
+  const char *payload =
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789";
+  in_ptr.append(payload, strlen(payload));
+  bufferlist in;
+  in.push_front(in_ptr);
+
+  set<int>want_to_encode;
+
+  map<int, bufferlist> encoded;
+  for (int i = 0; i < (k + m); i++) {
+    want_to_encode.insert(i);
+  }
+
+
+  EXPECT_EQ(0, Isa.encode(want_to_encode,
+                          in,
+                          &encoded));
+
+  EXPECT_EQ((unsigned) (k + m), encoded.size());
+
+  unsigned length = encoded[0].length();
+
+  for (int i = 0; i < k; i++) {
+    EXPECT_EQ(0, memcmp(encoded[i].c_str(), in.c_str() + (i * length), length));
+  }
+
+  buffer::ptr enc[k + m];
+  // create buffers with a copy of the original data to be able to compare it after decoding
+  {
+    for (int i = 0; i < (k + m); i++) {
+      buffer::ptr newenc(buffer::create_page_aligned(LARGE_ENOUGH));
+      enc[i] = newenc;
+      enc[i].zero();
+      enc[i].set_length(0);
+      enc[i].append(encoded[i].c_str(), length);
+    }
+  }
+
+  // loop through all possible loss scenarios
+  int cnt_cf = 0;
+
+  for (int l1 = 0; l1 < (k + m); l1++) {
+    map<int, bufferlist> degraded = encoded;
+    set<int> want_to_decode;
+    bool err;
+    degraded.erase(l1);
+    want_to_decode.insert(l1);
+    err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+    EXPECT_EQ(0, err);
+    cnt_cf++;
+    for (int l2 = l1 + 1; l2 < (k + m); l2++) {
+      degraded.erase(l2);
+      want_to_decode.insert(l2);
+      err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+      EXPECT_EQ(0, err);
+      cnt_cf++;
+      for (int l3 = l2 + 1; l3 < (k + m); l3++) {
+        degraded.erase(l3);
+        want_to_decode.insert(l3);
+        err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+        EXPECT_EQ(0, err);
+        cnt_cf++;
+        for (int l4 = l3 + 1; l4 < (k + m); l4++) {
+          degraded.erase(l4);
+          want_to_decode.insert(l4);
+          err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+          EXPECT_EQ(0, err);
+          degraded[l4] = encoded[l4];
+          want_to_decode.erase(l4);
+          cnt_cf++;
+        }
+        degraded[l3] = encoded[l3];
+        want_to_decode.erase(l3);
+      }
+      degraded[l2] = encoded[l2];
+      want_to_decode.erase(l2);
+    }
+    degraded[l1] = encoded[l1];
+    want_to_decode.erase(l1);
+  }
+  EXPECT_EQ(2516, cnt_cf);
+  EXPECT_EQ(2516, tcache.getDecodingTableCacheSize(ErasureCodeIsaDefault::kCauchy));
+}
+
+TEST_F(IsaErasureCodeTest, isa_cauchy_cache_trash)
+{
+  // Test all possible failure scenarios and reconstruction cases for
+  // a (12,4) configuration using the cauchy matrix
+  ErasureCodeIsaDefault Isa(tcache,ErasureCodeIsaDefault::kCauchy);
+  ErasureCodeProfile profile;
+  profile["k"] = "16";
+  profile["m"] = "4";
+  profile["technique"] = "cauchy";
+
+  Isa.init(profile, &cerr);
+
+  const int k = 16;
+  const int m = 4;
+
+#define LARGE_ENOUGH 2048
+  bufferptr in_ptr(buffer::create_page_aligned(LARGE_ENOUGH));
+  in_ptr.zero();
+  in_ptr.set_length(0);
+  const char *payload =
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789";
+  in_ptr.append(payload, strlen(payload));
+  bufferlist in;
+  in.push_front(in_ptr);
+
+  set<int>want_to_encode;
+
+  map<int, bufferlist> encoded;
+  for (int i = 0; i < (k + m); i++) {
+    want_to_encode.insert(i);
+  }
+
+
+  EXPECT_EQ(0, Isa.encode(want_to_encode,
+                          in,
+                          &encoded));
+
+  EXPECT_EQ((unsigned) (k + m), encoded.size());
+
+  unsigned length = encoded[0].length();
+
+  for (int i = 0; i < k; i++) {
+    EXPECT_EQ(0, memcmp(encoded[i].c_str(), in.c_str() + (i * length), length));
+  }
+
+  buffer::ptr enc[k + m];
+  // create buffers with a copy of the original data to be able to compare it after decoding
+  {
+    for (int i = 0; i < (k + m); i++) {
+      buffer::ptr newenc(buffer::create_page_aligned(LARGE_ENOUGH));
+      enc[i] = newenc;
+      enc[i].zero();
+      enc[i].set_length(0);
+      enc[i].append(encoded[i].c_str(), length);
+    }
+  }
+
+  // loop through all possible loss scenarios
+  int cnt_cf = 0;
+
+  for (int l1 = 0; l1 < (k + m); l1++) {
+    map<int, bufferlist> degraded = encoded;
+    set<int> want_to_decode;
+    bool err;
+    degraded.erase(l1);
+    want_to_decode.insert(l1);
+    err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+    EXPECT_EQ(0, err);
+    cnt_cf++;
+    for (int l2 = l1 + 1; l2 < (k + m); l2++) {
+      degraded.erase(l2);
+      want_to_decode.insert(l2);
+      err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+      EXPECT_EQ(0, err);
+      cnt_cf++;
+      for (int l3 = l2 + 1; l3 < (k + m); l3++) {
+        degraded.erase(l3);
+        want_to_decode.insert(l3);
+        err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+        EXPECT_EQ(0, err);
+        cnt_cf++;
+        for (int l4 = l3 + 1; l4 < (k + m); l4++) {
+          degraded.erase(l4);
+          want_to_decode.insert(l4);
+          err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+          EXPECT_EQ(0, err);
+          degraded[l4] = encoded[l4];
+          want_to_decode.erase(l4);
+          cnt_cf++;
+        }
+        degraded[l3] = encoded[l3];
+        want_to_decode.erase(l3);
+      }
+      degraded[l2] = encoded[l2];
+      want_to_decode.erase(l2);
+    }
+    degraded[l1] = encoded[l1];
+    want_to_decode.erase(l1);
+  }
+  EXPECT_EQ(6195, cnt_cf);
+  EXPECT_EQ(2516, tcache.getDecodingTableCacheSize(ErasureCodeIsaDefault::kCauchy));
+}
+
+TEST_F(IsaErasureCodeTest, isa_xor_codec)
+{
+  // Test all possible failure scenarios and reconstruction cases for
+  // a (4,1) RAID-5 like configuration 
+
+  ErasureCodeIsaDefault Isa(tcache);
+  ErasureCodeProfile profile;
+  profile["k"] = "4";
+  profile["m"] = "1";
+  Isa.init(profile, &cerr);
+
+  const int k = 4;
+  const int m = 1;
+
+#define LARGE_ENOUGH 2048
+  bufferptr in_ptr(buffer::create_page_aligned(LARGE_ENOUGH));
+  in_ptr.zero();
+  in_ptr.set_length(0);
+  const char *payload =
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789"
+    "ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789";
+  in_ptr.append(payload, strlen(payload));
+  bufferlist in;
+  in.push_front(in_ptr);
+
+  set<int>want_to_encode;
+
+  map<int, bufferlist> encoded;
+  for (int i = 0; i < (k + m); i++) {
+    want_to_encode.insert(i);
+  }
+
+
+  EXPECT_EQ(0, Isa.encode(want_to_encode,
+                          in,
+                          &encoded));
+
+  EXPECT_EQ((unsigned) (k + m), encoded.size());
+
+  unsigned length = encoded[0].length();
+
+  for (int i = 0; i < k; i++) {
+    EXPECT_EQ(0, memcmp(encoded[i].c_str(), in.c_str() + (i * length), length));
+  }
+
+  buffer::ptr enc[k + m];
+  // create buffers with a copy of the original data to be able to compare it after decoding
+  {
+    for (int i = 0; i < (k + m); i++) {
+      buffer::ptr newenc(buffer::create_page_aligned(LARGE_ENOUGH));
+      enc[i] = newenc;
+      enc[i].zero();
+      enc[i].set_length(0);
+      enc[i].append(encoded[i].c_str(), length);
+    }
+  }
+
+  // loop through all possible loss scenarios
+  int cnt_cf = 0;
+
+  for (int l1 = 0; l1 < (k + m); l1++) {
+    map<int, bufferlist> degraded = encoded;
+    set<int> want_to_decode;
+    bool err;
+    degraded.erase(l1);
+    want_to_decode.insert(l1);
+    err = DecodeAndVerify(Isa, degraded, want_to_decode, enc, length);
+    EXPECT_EQ(0, err);
+    cnt_cf++;
+    degraded[l1] = encoded[l1];
+    want_to_decode.erase(l1);
+  }
+  EXPECT_EQ(5, cnt_cf);
+}
+
+TEST_F(IsaErasureCodeTest, create_rule)
+{
+  CrushWrapper *c = new CrushWrapper;
+  c->create();
+  int root_type = 2;
+  c->set_type_name(root_type, "root");
+  int host_type = 1;
+  c->set_type_name(host_type, "host");
+  int osd_type = 0;
+  c->set_type_name(osd_type, "osd");
+
+  int rootno;
+  c->add_bucket(0, CRUSH_BUCKET_STRAW, CRUSH_HASH_RJENKINS1,
+               root_type, 0, NULL, NULL, &rootno);
+  c->set_item_name(rootno, "default");
+
+  map<string,string> loc;
+  loc["root"] = "default";
+
+  int num_host = 4;
+  int num_osd = 5;
+  int osd = 0;
+  for (int h=0; h<num_host; ++h) {
+    loc["host"] = string("host-") + stringify(h);
+    for (int o=0; o<num_osd; ++o, ++osd) {
+      c->insert_item(g_ceph_context, osd, 1.0, string("osd.") + stringify(osd), loc);
+    }
+  }
+
+  c->finalize();
+
+  {
+    stringstream ss;
+    ErasureCodeIsaDefault isa(tcache);
+    ErasureCodeProfile profile;
+    profile["k"] = "2";
+    profile["m"] = "2";
+    profile["w"] = "8";
+    isa.init(profile, &cerr);
+    int ruleset = isa.create_rule("myrule", *c, &ss);
+    EXPECT_EQ(0, ruleset);
+    EXPECT_EQ(-EEXIST, isa.create_rule("myrule", *c, &ss));
+    //
+    // the minimum that is expected from the created ruleset is to
+    // successfully map get_chunk_count() devices from the crushmap,
+    // at least once.
+    //
+    vector<__u32> weight(c->get_max_devices(), 0x10000);
+    vector<int> out;
+    int x = 0;
+    c->do_rule(ruleset, x, out, isa.get_chunk_count(), weight, 0);
+    ASSERT_EQ(out.size(), isa.get_chunk_count());
+    for (unsigned i=0; i<out.size(); ++i)
+      ASSERT_NE(CRUSH_ITEM_NONE, out[i]);
+  }
+  {
+    stringstream ss;
+    ErasureCodeIsaDefault isa(tcache);
+    ErasureCodeProfile profile;
+    profile["k"] = "2";
+    profile["m"] = "2";
+    profile["w"] = "8";
+    profile["crush-root"] = "BAD";
+    isa.init(profile, &cerr);
+    EXPECT_EQ(-ENOENT, isa.create_rule("otherrule", *c, &ss));
+    EXPECT_EQ("root item BAD does not exist", ss.str());
+  }
+  {
+    stringstream ss;
+    ErasureCodeIsaDefault isa(tcache);
+    ErasureCodeProfile profile;
+    profile["k"] = "2";
+    profile["m"] = "2";
+    profile["w"] = "8";
+    profile["crush-failure-domain"] = "WORSE";
+    isa.init(profile, &cerr);
+    EXPECT_EQ(-EINVAL, isa.create_rule("otherrule", *c, &ss));
+    EXPECT_EQ("unknown type WORSE", ss.str());
+  }
+}
+
+/*
+ * Local Variables:
+ * compile-command: "cd ../.. ; make -j4 unittest_erasure_code_isa &&
+ *   libtool --mode=execute valgrind --tool=memcheck \
+ *      ./unittest_erasure_code_isa \
+ *      --gtest_filter=*.* --log-to-stderr=true --debug-osd=20"
+ * End:
+ */