monero/tests/unit_tests/blockchain_db.cpp

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// Copyright (c) 2014-2023, The Monero Project
//
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without modification, are
// permitted provided that the following conditions are met:
//
// 1. Redistributions of source code must retain the above copyright notice, this list of
// conditions and the following disclaimer.
//
// 2. 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.
//
// 3. Neither the name of the copyright holder 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.
#include <boost/filesystem.hpp>
#include <boost/algorithm/string/predicate.hpp>
#include <cstdio>
#include <iostream>
#include <chrono>
#include <thread>
#include "gtest/gtest.h"
#include "string_tools.h"
#include "blockchain_db/blockchain_db.h"
#include "blockchain_db/lmdb/db_lmdb.h"
#include "cryptonote_basic/cryptonote_format_utils.h"
using namespace cryptonote;
using epee::string_tools::pod_to_hex;
#define ASSERT_HASH_EQ(a,b) ASSERT_EQ(pod_to_hex(a), pod_to_hex(b))
namespace { // anonymous namespace
const std::vector<std::string> t_blocks =
{
"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"
, "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"
};
const std::vector<size_t> t_sizes =
{
1122
, 347
};
const std::vector<difficulty_type> t_diffs =
{
4003674
, 4051757
};
const std::vector<uint64_t> t_coins =
{
1952630229575370
, 1970220553446486
};
const std::vector<std::vector<std::string>> t_transactions =
{
{
"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"
}
, {
}
};
// if the return type (blobdata for now) of block_to_blob ever changes
// from std::string, this might break.
bool compare_blocks(const block& a, const block& b)
{
auto hash_a = pod_to_hex(get_block_hash(a));
auto hash_b = pod_to_hex(get_block_hash(b));
return hash_a == hash_b;
}
/*
void print_block(const block& blk, const std::string& prefix = "")
{
std::cerr << prefix << ": " << std::endl
<< "\thash - " << pod_to_hex(get_block_hash(blk)) << std::endl
<< "\tparent - " << pod_to_hex(blk.prev_id) << std::endl
<< "\ttimestamp - " << blk.timestamp << std::endl
;
}
// if the return type (blobdata for now) of tx_to_blob ever changes
// from std::string, this might break.
bool compare_txs(const transaction& a, const transaction& b)
{
auto ab = tx_to_blob(a);
auto bb = tx_to_blob(b);
return ab == bb;
}
*/
// convert hex string to string that has values based on that hex
// thankfully should automatically ignore null-terminator.
std::string h2b(const std::string& s)
{
bool upper = true;
std::string result;
unsigned char val = 0;
for (char c : s)
{
if (upper)
{
val = 0;
if (c <= 'f' && c >= 'a')
{
val = ((c - 'a') + 10) << 4;
}
else
{
val = (c - '0') << 4;
}
}
else
{
if (c <= 'f' && c >= 'a')
{
val |= (c - 'a') + 10;
}
else
{
val |= c - '0';
}
result += (char)val;
}
upper = !upper;
}
return result;
}
template <typename T>
class BlockchainDBTest : public testing::Test
{
protected:
BlockchainDBTest() : m_db(new T()), m_hardfork(*m_db, 1, 0)
{
for (auto& i : t_blocks)
{
block bl;
blobdata bd = h2b(i);
CHECK_AND_ASSERT_THROW_MES(parse_and_validate_block_from_blob(bd, bl), "Invalid block");
m_blocks.push_back(std::make_pair(bl, bd));
}
for (auto& i : t_transactions)
{
std::vector<std::pair<transaction, blobdata>> txs;
for (auto& j : i)
{
transaction tx;
blobdata bd = h2b(j);
CHECK_AND_ASSERT_THROW_MES(parse_and_validate_tx_from_blob(bd, tx), "Invalid transaction");
txs.push_back(std::make_pair(tx, bd));
}
m_txs.push_back(txs);
}
}
~BlockchainDBTest() {
delete m_db;
remove_files();
}
BlockchainDB* m_db;
HardFork m_hardfork;
std::string m_prefix;
std::vector<std::pair<block, blobdata>> m_blocks;
std::vector<std::vector<std::pair<transaction, blobdata>>> m_txs;
std::vector<std::string> m_filenames;
void init_hard_fork()
{
m_hardfork.init();
m_db->set_hard_fork(&m_hardfork);
}
void get_filenames()
{
m_filenames = m_db->get_filenames();
for (auto& f : m_filenames)
{
std::cerr << "File created by test: " << f << std::endl;
}
}
void remove_files()
{
// remove each file the db created, making sure it starts with fname.
for (auto& f : m_filenames)
{
if (boost::starts_with(f, m_prefix))
{
boost::filesystem::remove(f);
}
else
{
std::cerr << "File created by test not to be removed (for safety): " << f << std::endl;
}
}
// remove directory if it still exists
boost::filesystem::remove_all(m_prefix);
}
void set_prefix(const std::string& prefix)
{
m_prefix = prefix;
}
};
using testing::Types;
typedef Types<BlockchainLMDB> implementations;
TYPED_TEST_CASE(BlockchainDBTest, implementations);
TYPED_TEST(BlockchainDBTest, OpenAndClose)
{
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boost::filesystem::path tempPath = boost::filesystem::temp_directory_path() / boost::filesystem::unique_path();
std::string dirPath = tempPath.string();
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this->set_prefix(dirPath);
// make sure open does not throw
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ASSERT_NO_THROW(this->m_db->open(dirPath));
this->get_filenames();
// make sure open when already open DOES throw
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ASSERT_THROW(this->m_db->open(dirPath), DB_OPEN_FAILURE);
ASSERT_NO_THROW(this->m_db->close());
}
TYPED_TEST(BlockchainDBTest, AddBlock)
{
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boost::filesystem::path tempPath = boost::filesystem::temp_directory_path() / boost::filesystem::unique_path();
std::string dirPath = tempPath.string();
this->set_prefix(dirPath);
// make sure open does not throw
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ASSERT_NO_THROW(this->m_db->open(dirPath));
this->get_filenames();
this->init_hard_fork();
db_wtxn_guard guard(this->m_db);
// adding a block with no parent in the blockchain should throw.
// note: this shouldn't be possible, but is a good (and cheap) failsafe.
//
// TODO: need at least one more block to make this reasonable, as the
// BlockchainDB implementation should not check for parent if
// no blocks have been added yet (because genesis has no parent).
ArticMine's new block weight algorithm This curbs runaway growth while still allowing substantial spikes in block weight Original specification from ArticMine: here is the scaling proposal Define: LongTermBlockWeight Before fork: LongTermBlockWeight = BlockWeight At or after fork: LongTermBlockWeight = min(BlockWeight, 1.4*LongTermEffectiveMedianBlockWeight) Note: To avoid possible consensus issues over rounding the LongTermBlockWeight for a given block should be calculated to the nearest byte, and stored as a integer in the block itself. The stored LongTermBlockWeight is then used for future calculations of the LongTermEffectiveMedianBlockWeight and not recalculated each time. Define: LongTermEffectiveMedianBlockWeight LongTermEffectiveMedianBlockWeight = max(300000, MedianOverPrevious100000Blocks(LongTermBlockWeight)) Change Definition of EffectiveMedianBlockWeight From (current definition) EffectiveMedianBlockWeight = max(300000, MedianOverPrevious100Blocks(BlockWeight)) To (proposed definition) EffectiveMedianBlockWeight = min(max(300000, MedianOverPrevious100Blocks(BlockWeight)), 50*LongTermEffectiveMedianBlockWeight) Notes: 1) There are no other changes to the existing penalty formula, median calculation, fees etc. 2) There is the requirement to store the LongTermBlockWeight of a block unencrypted in the block itself. This is to avoid possible consensus issues over rounding and also to prevent the calculations from becoming unwieldy as we move away from the fork. 3) When the EffectiveMedianBlockWeight cap is reached it is still possible to mine blocks up to 2x the EffectiveMedianBlockWeight by paying the corresponding penalty. Note: the long term block weight is stored in the database, but not in the actual block itself, since it requires recalculating anyway for verification.
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//ASSERT_THROW(this->m_db->add_block(this->m_blocks[1], t_sizes[1], t_sizes[1], t_diffs[1], t_coins[1], this->m_txs[1]), BLOCK_PARENT_DNE);
ArticMine's new block weight algorithm This curbs runaway growth while still allowing substantial spikes in block weight Original specification from ArticMine: here is the scaling proposal Define: LongTermBlockWeight Before fork: LongTermBlockWeight = BlockWeight At or after fork: LongTermBlockWeight = min(BlockWeight, 1.4*LongTermEffectiveMedianBlockWeight) Note: To avoid possible consensus issues over rounding the LongTermBlockWeight for a given block should be calculated to the nearest byte, and stored as a integer in the block itself. The stored LongTermBlockWeight is then used for future calculations of the LongTermEffectiveMedianBlockWeight and not recalculated each time. Define: LongTermEffectiveMedianBlockWeight LongTermEffectiveMedianBlockWeight = max(300000, MedianOverPrevious100000Blocks(LongTermBlockWeight)) Change Definition of EffectiveMedianBlockWeight From (current definition) EffectiveMedianBlockWeight = max(300000, MedianOverPrevious100Blocks(BlockWeight)) To (proposed definition) EffectiveMedianBlockWeight = min(max(300000, MedianOverPrevious100Blocks(BlockWeight)), 50*LongTermEffectiveMedianBlockWeight) Notes: 1) There are no other changes to the existing penalty formula, median calculation, fees etc. 2) There is the requirement to store the LongTermBlockWeight of a block unencrypted in the block itself. This is to avoid possible consensus issues over rounding and also to prevent the calculations from becoming unwieldy as we move away from the fork. 3) When the EffectiveMedianBlockWeight cap is reached it is still possible to mine blocks up to 2x the EffectiveMedianBlockWeight by paying the corresponding penalty. Note: the long term block weight is stored in the database, but not in the actual block itself, since it requires recalculating anyway for verification.
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ASSERT_NO_THROW(this->m_db->add_block(this->m_blocks[0], t_sizes[0], t_sizes[0], t_diffs[0], t_coins[0], this->m_txs[0]));
ASSERT_NO_THROW(this->m_db->add_block(this->m_blocks[1], t_sizes[1], t_sizes[1], t_diffs[1], t_coins[1], this->m_txs[1]));
block b;
ASSERT_TRUE(this->m_db->block_exists(get_block_hash(this->m_blocks[0].first)));
ASSERT_NO_THROW(b = this->m_db->get_block(get_block_hash(this->m_blocks[0].first)));
ASSERT_TRUE(compare_blocks(this->m_blocks[0].first, b));
ASSERT_NO_THROW(b = this->m_db->get_block_from_height(0));
ASSERT_TRUE(compare_blocks(this->m_blocks[0].first, b));
// assert that we can't add the same block twice
ArticMine's new block weight algorithm This curbs runaway growth while still allowing substantial spikes in block weight Original specification from ArticMine: here is the scaling proposal Define: LongTermBlockWeight Before fork: LongTermBlockWeight = BlockWeight At or after fork: LongTermBlockWeight = min(BlockWeight, 1.4*LongTermEffectiveMedianBlockWeight) Note: To avoid possible consensus issues over rounding the LongTermBlockWeight for a given block should be calculated to the nearest byte, and stored as a integer in the block itself. The stored LongTermBlockWeight is then used for future calculations of the LongTermEffectiveMedianBlockWeight and not recalculated each time. Define: LongTermEffectiveMedianBlockWeight LongTermEffectiveMedianBlockWeight = max(300000, MedianOverPrevious100000Blocks(LongTermBlockWeight)) Change Definition of EffectiveMedianBlockWeight From (current definition) EffectiveMedianBlockWeight = max(300000, MedianOverPrevious100Blocks(BlockWeight)) To (proposed definition) EffectiveMedianBlockWeight = min(max(300000, MedianOverPrevious100Blocks(BlockWeight)), 50*LongTermEffectiveMedianBlockWeight) Notes: 1) There are no other changes to the existing penalty formula, median calculation, fees etc. 2) There is the requirement to store the LongTermBlockWeight of a block unencrypted in the block itself. This is to avoid possible consensus issues over rounding and also to prevent the calculations from becoming unwieldy as we move away from the fork. 3) When the EffectiveMedianBlockWeight cap is reached it is still possible to mine blocks up to 2x the EffectiveMedianBlockWeight by paying the corresponding penalty. Note: the long term block weight is stored in the database, but not in the actual block itself, since it requires recalculating anyway for verification.
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ASSERT_THROW(this->m_db->add_block(this->m_blocks[0], t_sizes[0], t_sizes[0], t_diffs[0], t_coins[0], this->m_txs[0]), TX_EXISTS);
for (auto& h : this->m_blocks[0].first.tx_hashes)
{
transaction tx;
ASSERT_TRUE(this->m_db->tx_exists(h));
ASSERT_NO_THROW(tx = this->m_db->get_tx(h));
ASSERT_HASH_EQ(h, get_transaction_hash(tx));
}
}
TYPED_TEST(BlockchainDBTest, RetrieveBlockData)
{
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boost::filesystem::path tempPath = boost::filesystem::temp_directory_path() / boost::filesystem::unique_path();
std::string dirPath = tempPath.string();
this->set_prefix(dirPath);
// make sure open does not throw
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ASSERT_NO_THROW(this->m_db->open(dirPath));
this->get_filenames();
this->init_hard_fork();
db_wtxn_guard guard(this->m_db);
ArticMine's new block weight algorithm This curbs runaway growth while still allowing substantial spikes in block weight Original specification from ArticMine: here is the scaling proposal Define: LongTermBlockWeight Before fork: LongTermBlockWeight = BlockWeight At or after fork: LongTermBlockWeight = min(BlockWeight, 1.4*LongTermEffectiveMedianBlockWeight) Note: To avoid possible consensus issues over rounding the LongTermBlockWeight for a given block should be calculated to the nearest byte, and stored as a integer in the block itself. The stored LongTermBlockWeight is then used for future calculations of the LongTermEffectiveMedianBlockWeight and not recalculated each time. Define: LongTermEffectiveMedianBlockWeight LongTermEffectiveMedianBlockWeight = max(300000, MedianOverPrevious100000Blocks(LongTermBlockWeight)) Change Definition of EffectiveMedianBlockWeight From (current definition) EffectiveMedianBlockWeight = max(300000, MedianOverPrevious100Blocks(BlockWeight)) To (proposed definition) EffectiveMedianBlockWeight = min(max(300000, MedianOverPrevious100Blocks(BlockWeight)), 50*LongTermEffectiveMedianBlockWeight) Notes: 1) There are no other changes to the existing penalty formula, median calculation, fees etc. 2) There is the requirement to store the LongTermBlockWeight of a block unencrypted in the block itself. This is to avoid possible consensus issues over rounding and also to prevent the calculations from becoming unwieldy as we move away from the fork. 3) When the EffectiveMedianBlockWeight cap is reached it is still possible to mine blocks up to 2x the EffectiveMedianBlockWeight by paying the corresponding penalty. Note: the long term block weight is stored in the database, but not in the actual block itself, since it requires recalculating anyway for verification.
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ASSERT_NO_THROW(this->m_db->add_block(this->m_blocks[0], t_sizes[0], t_sizes[0], t_diffs[0], t_coins[0], this->m_txs[0]));
ASSERT_EQ(t_sizes[0], this->m_db->get_block_weight(0));
ASSERT_EQ(t_diffs[0], this->m_db->get_block_cumulative_difficulty(0));
ASSERT_EQ(t_diffs[0], this->m_db->get_block_difficulty(0));
ASSERT_EQ(t_coins[0], this->m_db->get_block_already_generated_coins(0));
ArticMine's new block weight algorithm This curbs runaway growth while still allowing substantial spikes in block weight Original specification from ArticMine: here is the scaling proposal Define: LongTermBlockWeight Before fork: LongTermBlockWeight = BlockWeight At or after fork: LongTermBlockWeight = min(BlockWeight, 1.4*LongTermEffectiveMedianBlockWeight) Note: To avoid possible consensus issues over rounding the LongTermBlockWeight for a given block should be calculated to the nearest byte, and stored as a integer in the block itself. The stored LongTermBlockWeight is then used for future calculations of the LongTermEffectiveMedianBlockWeight and not recalculated each time. Define: LongTermEffectiveMedianBlockWeight LongTermEffectiveMedianBlockWeight = max(300000, MedianOverPrevious100000Blocks(LongTermBlockWeight)) Change Definition of EffectiveMedianBlockWeight From (current definition) EffectiveMedianBlockWeight = max(300000, MedianOverPrevious100Blocks(BlockWeight)) To (proposed definition) EffectiveMedianBlockWeight = min(max(300000, MedianOverPrevious100Blocks(BlockWeight)), 50*LongTermEffectiveMedianBlockWeight) Notes: 1) There are no other changes to the existing penalty formula, median calculation, fees etc. 2) There is the requirement to store the LongTermBlockWeight of a block unencrypted in the block itself. This is to avoid possible consensus issues over rounding and also to prevent the calculations from becoming unwieldy as we move away from the fork. 3) When the EffectiveMedianBlockWeight cap is reached it is still possible to mine blocks up to 2x the EffectiveMedianBlockWeight by paying the corresponding penalty. Note: the long term block weight is stored in the database, but not in the actual block itself, since it requires recalculating anyway for verification.
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ASSERT_NO_THROW(this->m_db->add_block(this->m_blocks[1], t_sizes[1], t_sizes[1], t_diffs[1], t_coins[1], this->m_txs[1]));
ASSERT_EQ(t_diffs[1] - t_diffs[0], this->m_db->get_block_difficulty(1));
ASSERT_HASH_EQ(get_block_hash(this->m_blocks[0].first), this->m_db->get_block_hash_from_height(0));
std::vector<block> blks;
ASSERT_NO_THROW(blks = this->m_db->get_blocks_range(0, 1));
ASSERT_EQ(2, blks.size());
ASSERT_HASH_EQ(get_block_hash(this->m_blocks[0].first), get_block_hash(blks[0]));
ASSERT_HASH_EQ(get_block_hash(this->m_blocks[1].first), get_block_hash(blks[1]));
std::vector<crypto::hash> hashes;
ASSERT_NO_THROW(hashes = this->m_db->get_hashes_range(0, 1));
ASSERT_EQ(2, hashes.size());
ASSERT_HASH_EQ(get_block_hash(this->m_blocks[0].first), hashes[0]);
ASSERT_HASH_EQ(get_block_hash(this->m_blocks[1].first), hashes[1]);
}
} // anonymous namespace