CipherLabs
/
besu
mirror of https://github.com/hyperledger/besu
2
0
Fork 0
Code Issues Packages Projects Releases Wiki Activity

Merge branch 'main' into 7311-add-peertask-foundation-code

Browse Source
pull/7628/head
Matilda-Clerke 2 months ago committed by GitHub
parent b3a252be43 6c49c734ef
commit 4f9cf52e58
No known key found for this signature in database
GPG Key ID: B5690EEEBB952194
8 changed files with 503 additions and 31 deletions
Show all changes Ignore whitespace when comparing lines Ignore changes in amount of whitespace Ignore changes in whitespace at EOL
Show Stats Download Patch File Download Diff File
  1. 1
      CHANGELOG.md
  2. 45
      ethereum/api/src/main/java/org/hyperledger/besu/ethereum/api/jsonrpc/internal/methods/EthFeeHistory.java
  3. 6
      ethereum/api/src/main/java/org/hyperledger/besu/ethereum/api/jsonrpc/methods/EthJsonRpcMethods.java
  4. 67
      ethereum/api/src/test/java/org/hyperledger/besu/ethereum/api/jsonrpc/internal/methods/EthFeeHistoryTest.java
  5. 5
      ethereum/evmtool/src/main/java/org/hyperledger/besu/evmtool/BenchmarkSubCommand.java
  6. 390
      ethereum/evmtool/src/main/java/org/hyperledger/besu/evmtool/benchmarks/BLS12Benchmark.java
  7. 14
      evm/src/main/java/org/hyperledger/besu/evm/precompile/AbstractBLS12PrecompiledContract.java
  8. 6
      gradle.properties

1
CHANGELOG.md
Unescape View File

@ -9,6 +9,7 @@
### Additions and Improvements
### Bug fixes
- Fix eth_feeHistory rewards when bounded by configuration [#7750](https://github.com/hyperledger/besu/pull/7750)
## 24.10.0

45
ethereum/api/src/main/java/org/hyperledger/besu/ethereum/api/jsonrpc/internal/methods/EthFeeHistory.java
Unescape View File

@ -14,7 +14,6 @@
*/
package org.hyperledger.besu.ethereum.api.jsonrpc.internal.methods;
import static java.util.stream.Collectors.toUnmodifiableList;
import static org.hyperledger.besu.ethereum.mainnet.feemarket.ExcessBlobGasCalculator.calculateExcessBlobGasForParent;
import org.hyperledger.besu.datatypes.Hash;
@ -32,6 +31,7 @@ import org.hyperledger.besu.ethereum.api.jsonrpc.internal.response.JsonRpcSucces
import org.hyperledger.besu.ethereum.api.jsonrpc.internal.response.RpcErrorType;
import org.hyperledger.besu.ethereum.api.jsonrpc.internal.results.FeeHistory;
import org.hyperledger.besu.ethereum.api.jsonrpc.internal.results.ImmutableFeeHistory;
import org.hyperledger.besu.ethereum.api.query.BlockchainQueries;
import org.hyperledger.besu.ethereum.blockcreation.MiningCoordinator;
import org.hyperledger.besu.ethereum.chain.Blockchain;
import org.hyperledger.besu.ethereum.core.Block;
@ -57,9 +57,11 @@ import com.github.benmanes.caffeine.cache.Cache;
import com.github.benmanes.caffeine.cache.Caffeine;
import com.google.common.annotations.VisibleForTesting;
import com.google.common.collect.Streams;
import org.apache.tuweni.units.bigints.UInt256s;
public class EthFeeHistory implements JsonRpcMethod {
private final ProtocolSchedule protocolSchedule;
private final BlockchainQueries blockchainQueries;
private final Blockchain blockchain;
private final MiningCoordinator miningCoordinator;
private final ApiConfiguration apiConfiguration;
@ -70,13 +72,14 @@ public class EthFeeHistory implements JsonRpcMethod {
public EthFeeHistory(
final ProtocolSchedule protocolSchedule,
final Blockchain blockchain,
final BlockchainQueries blockchainQueries,
final MiningCoordinator miningCoordinator,
final ApiConfiguration apiConfiguration) {
this.protocolSchedule = protocolSchedule;
this.blockchain = blockchain;
this.blockchainQueries = blockchainQueries;
this.miningCoordinator = miningCoordinator;
this.apiConfiguration = apiConfiguration;
this.blockchain = blockchainQueries.getBlockchain();
this.cache = Caffeine.newBuilder().maximumSize(MAXIMUM_CACHE_SIZE).build();
}
@ -136,7 +139,8 @@ public class EthFeeHistory implements JsonRpcMethod {
final List<Double> gasUsedRatios = getGasUsedRatios(blockHeaderRange);
final List<Double> blobGasUsedRatios = getBlobGasUsedRatios(blockHeaderRange);
final Optional<List<List<Wei>>> maybeRewards =
maybeRewardPercentiles.map(rewards -> getRewards(rewards, blockHeaderRange));
maybeRewardPercentiles.map(
percentiles -> getRewards(percentiles, blockHeaderRange, nextBaseFee));
return new JsonRpcSuccessResponse(
requestId,
createFeeHistoryResult(
@ -203,17 +207,19 @@ public class EthFeeHistory implements JsonRpcMethod {
}
private List<List<Wei>> getRewards(
final List<Double> rewardPercentiles, final List<BlockHeader> blockHeaders) {
final List<Double> rewardPercentiles,
final List<BlockHeader> blockHeaders,
final Wei nextBaseFee) {
var sortedPercentiles = rewardPercentiles.stream().sorted().toList();
return blockHeaders.stream()
.parallel()
.map(blockHeader -> calculateBlockHeaderReward(sortedPercentiles, blockHeader))
.map(blockHeader -> calculateBlockHeaderReward(sortedPercentiles, blockHeader, nextBaseFee))
.flatMap(Optional::stream)
.toList();
}
private Optional<List<Wei>> calculateBlockHeaderReward(
final List<Double> sortedPercentiles, final BlockHeader blockHeader) {
final List<Double> sortedPercentiles, final BlockHeader blockHeader, final Wei nextBaseFee) {
// Create a new key for the reward cache
final RewardCacheKey key = new RewardCacheKey(blockHeader.getBlockHash(), sortedPercentiles);
@ -226,7 +232,7 @@ public class EthFeeHistory implements JsonRpcMethod {
Optional<Block> block = blockchain.getBlockByHash(blockHeader.getBlockHash());
return block.map(
b -> {
List<Wei> rewards = computeRewards(sortedPercentiles, b);
List<Wei> rewards = computeRewards(sortedPercentiles, b, nextBaseFee);
// Put the computed rewards in the cache for future use
cache.put(key, rewards);
return rewards;
@ -237,7 +243,8 @@ public class EthFeeHistory implements JsonRpcMethod {
record TransactionInfo(Transaction transaction, Long gasUsed, Wei effectivePriorityFeePerGas) {}
@VisibleForTesting
public List<Wei> computeRewards(final List<Double> rewardPercentiles, final Block block) {
public List<Wei> computeRewards(
final List<Double> rewardPercentiles, final Block block, final Wei nextBaseFee) {
final List<Transaction> transactions = block.getBody().getTransactions();
if (transactions.isEmpty()) {
// all 0's for empty block
@ -253,7 +260,7 @@ public class EthFeeHistory implements JsonRpcMethod {
// If the priority fee boundary is set, return the bounded rewards. Otherwise, return the real
// rewards.
if (apiConfiguration.isGasAndPriorityFeeLimitingEnabled()) {
return boundRewards(realRewards);
return boundRewards(realRewards, nextBaseFee);
} else {
return realRewards;
}
@ -292,16 +299,20 @@ public class EthFeeHistory implements JsonRpcMethod {
* This method returns a list of bounded rewards.
*
* @param rewards The list of rewards to be bounded.
* @param nextBaseFee The base fee of the next block.
* @return The list of bounded rewards.
*/
private List<Wei> boundRewards(final List<Wei> rewards) {
Wei minPriorityFee = miningCoordinator.getMinPriorityFeePerGas();
Wei lowerBound =
minPriorityFee
private List<Wei> boundRewards(final List<Wei> rewards, final Wei nextBaseFee) {
final Wei lowerBoundGasPrice = blockchainQueries.gasPriceLowerBound();
final Wei lowerBoundPriorityFee = lowerBoundGasPrice.subtract(nextBaseFee);
final Wei minPriorityFee = miningCoordinator.getMinPriorityFeePerGas();
final Wei forcedMinPriorityFee = UInt256s.max(minPriorityFee, lowerBoundPriorityFee);
final Wei lowerBound =
forcedMinPriorityFee
.multiply(apiConfiguration.getLowerBoundGasAndPriorityFeeCoefficient())
.divide(100);
Wei upperBound =
minPriorityFee
final Wei upperBound =
forcedMinPriorityFee
.multiply(apiConfiguration.getUpperBoundGasAndPriorityFeeCoefficient())
.divide(100);
@ -438,7 +449,7 @@ public class EthFeeHistory implements JsonRpcMethod {
.oldestBlock(oldestBlock)
.baseFeePerGas(
Stream.concat(explicitlyRequestedBaseFees.stream(), Stream.of(nextBaseFee))
.collect(toUnmodifiableList()))
.toList())
.baseFeePerBlobGas(requestedBlobBaseFees)
.gasUsedRatio(gasUsedRatios)
.blobGasUsedRatio(blobGasUsedRatio)

6
ethereum/api/src/main/java/org/hyperledger/besu/ethereum/api/jsonrpc/methods/EthJsonRpcMethods.java
Unescape View File

@ -132,11 +132,7 @@ public class EthJsonRpcMethods extends ApiGroupJsonRpcMethods {
blockchainQueries.getWorldStateArchive(),
protocolSchedule,
apiConfiguration.getGasCap())),
new EthFeeHistory(
protocolSchedule,
blockchainQueries.getBlockchain(),
miningCoordinator,
apiConfiguration),
new EthFeeHistory(protocolSchedule, blockchainQueries, miningCoordinator, apiConfiguration),
new EthGetCode(blockchainQueries),
new EthGetLogs(blockchainQueries, apiConfiguration.getMaxLogsRange()),
new EthGetProof(blockchainQueries),

67
ethereum/api/src/test/java/org/hyperledger/besu/ethereum/api/jsonrpc/internal/methods/EthFeeHistoryTest.java
Unescape View File

@ -39,6 +39,7 @@ import org.hyperledger.besu.ethereum.api.jsonrpc.internal.response.RpcErrorType;
import org.hyperledger.besu.ethereum.api.jsonrpc.internal.results.FeeHistory;
import org.hyperledger.besu.ethereum.api.jsonrpc.internal.results.ImmutableFeeHistory;
import org.hyperledger.besu.ethereum.api.jsonrpc.internal.results.ImmutableFeeHistoryResult;
import org.hyperledger.besu.ethereum.api.query.BlockchainQueries;
import org.hyperledger.besu.ethereum.blockcreation.MiningCoordinator;
import org.hyperledger.besu.ethereum.chain.Blockchain;
import org.hyperledger.besu.ethereum.chain.MutableBlockchain;
@ -69,6 +70,7 @@ import org.junit.jupiter.api.Test;
public class EthFeeHistoryTest {
final BlockDataGenerator gen = new BlockDataGenerator();
private BlockchainQueries blockchainQueries;
private MutableBlockchain blockchain;
private EthFeeHistory method;
private ProtocolSchedule protocolSchedule;
@ -82,14 +84,15 @@ public class EthFeeHistoryTest {
gen.blockSequence(genesisBlock, 10)
.forEach(block -> blockchain.appendBlock(block, gen.receipts(block)));
miningCoordinator = mock(MergeCoordinator.class);
when(miningCoordinator.getMinPriorityFeePerGas()).thenReturn(Wei.ONE);
blockchainQueries = mockBlockchainQueries(blockchain, Wei.of(7));
mockFork();
method =
new EthFeeHistory(
protocolSchedule,
blockchain,
blockchainQueries,
miningCoordinator,
ImmutableApiConfiguration.builder().build());
}
@ -139,11 +142,16 @@ public class EthFeeHistoryTest {
Block block = mock(Block.class);
Blockchain blockchain = mockBlockchainTransactionsWithPriorityFee(block);
final var blockchainQueries = mockBlockchainQueries(blockchain, Wei.of(7));
EthFeeHistory ethFeeHistory =
new EthFeeHistory(
null, blockchain, miningCoordinator, ImmutableApiConfiguration.builder().build());
null,
blockchainQueries,
miningCoordinator,
ImmutableApiConfiguration.builder().build());
List<Wei> rewards = ethFeeHistory.computeRewards(rewardPercentiles, block);
List<Wei> rewards = ethFeeHistory.computeRewards(rewardPercentiles, block, Wei.of(7));
// Define the expected rewards for each percentile
// The expected rewards match the fees of the transactions at each percentile in the
@ -179,14 +187,51 @@ public class EthFeeHistoryTest {
.upperBoundGasAndPriorityFeeCoefficient(500L)
.build(); // Max reward = Wei.One * 500L / 100 = 5.0
final var blockchainQueries = mockBlockchainQueries(blockchain, Wei.of(7));
when(miningCoordinator.getMinPriorityFeePerGas()).thenReturn(Wei.ONE);
EthFeeHistory ethFeeHistory =
new EthFeeHistory(null, blockchain, miningCoordinator, apiConfiguration);
new EthFeeHistory(null, blockchainQueries, miningCoordinator, apiConfiguration);
List<Wei> rewards = ethFeeHistory.computeRewards(rewardPercentiles, block);
List<Wei> rewards = ethFeeHistory.computeRewards(rewardPercentiles, block, Wei.of(7));
// Define the expected bounded rewards for each percentile
List<Wei> expectedBoundedRewards = Stream.of(2, 2, 2, 4, 5, 5, 5, 5, 5).map(Wei::of).toList();
assertThat(expectedBoundedRewards).isEqualTo(rewards);
assertThat(rewards).isEqualTo(expectedBoundedRewards);
}
@Test
public void shouldApplyLowerBoundRewardsCorrectly() {
// This test checks that the rewards are correctly bounded by the lower and upper limits,
// when the calculated lower bound for the priority fee is greater than the configured one.
// Configured minPriorityFeePerGas is 0 wei, minGasPrice is 10 wei and baseFee is 8 wei,
// so for a tx to be mined the minPriorityFeePerGas is raised to 2 wei before applying the
// coefficients.
List<Double> rewardPercentiles =
Arrays.asList(0.0, 5.0, 10.0, 27.50, 31.0, 59.0, 60.0, 61.0, 100.0);
Block block = mock(Block.class);
Blockchain blockchain = mockBlockchainTransactionsWithPriorityFee(block);
ApiConfiguration apiConfiguration =
ImmutableApiConfiguration.builder()
.isGasAndPriorityFeeLimitingEnabled(true)
.lowerBoundGasAndPriorityFeeCoefficient(200L) // Min reward = 2 * 200L / 100 = 4.0
.upperBoundGasAndPriorityFeeCoefficient(300L)
.build(); // Max reward = 2 * 300L / 100 = 6.0
final var blockchainQueries = mockBlockchainQueries(blockchain, Wei.of(10));
when(miningCoordinator.getMinPriorityFeePerGas()).thenReturn(Wei.ZERO);
EthFeeHistory ethFeeHistory =
new EthFeeHistory(null, blockchainQueries, miningCoordinator, apiConfiguration);
List<Wei> rewards = ethFeeHistory.computeRewards(rewardPercentiles, block, Wei.of(8));
// Define the expected bounded rewards for each percentile
List<Wei> expectedBoundedRewards = Stream.of(4, 4, 4, 4, 5, 6, 6, 6, 6).map(Wei::of).toList();
assertThat(rewards).isEqualTo(expectedBoundedRewards);
}
private Blockchain mockBlockchainTransactionsWithPriorityFee(final Block block) {
@ -399,4 +444,12 @@ public class EthFeeHistoryTest {
return method.response(
new JsonRpcRequestContext(new JsonRpcRequest("2.0", "eth_feeHistory", params)));
}
private BlockchainQueries mockBlockchainQueries(
final Blockchain blockchain, final Wei gasPriceLowerBound) {
final var blockchainQueries = mock(BlockchainQueries.class);
when(blockchainQueries.getBlockchain()).thenReturn(blockchain);
when(blockchainQueries.gasPriceLowerBound()).thenReturn(gasPriceLowerBound);
return blockchainQueries;
}
}

5
ethereum/evmtool/src/main/java/org/hyperledger/besu/evmtool/BenchmarkSubCommand.java
Unescape View File

@ -19,6 +19,7 @@ import static picocli.CommandLine.ScopeType.INHERIT;
import org.hyperledger.besu.BesuInfo;
import org.hyperledger.besu.evmtool.benchmarks.AltBN128Benchmark;
import org.hyperledger.besu.evmtool.benchmarks.BLS12Benchmark;
import org.hyperledger.besu.evmtool.benchmarks.BenchmarkExecutor;
import org.hyperledger.besu.evmtool.benchmarks.ECRecoverBenchmark;
import org.hyperledger.besu.evmtool.benchmarks.ModExpBenchmark;
@ -56,7 +57,9 @@ public class BenchmarkSubCommand implements Runnable {
// blake2f
EcRecover(new ECRecoverBenchmark()),
ModExp(new ModExpBenchmark()),
Secp256k1(new Secp256k1Benchmark());
Secp256k1(new Secp256k1Benchmark()),
// bls12
Bls12(new BLS12Benchmark());
final BenchmarkExecutor benchmarkExecutor;

390
ethereum/evmtool/src/main/java/org/hyperledger/besu/evmtool/benchmarks/BLS12Benchmark.java
Unescape View File

@ -0,0 +1,390 @@
/*
* Copyright contributors to Hyperledger Besu.
*
* Licensed under the Apache License, Version 2.0 (the "License"); you may not use this file except in compliance with
* the License. You may obtain a copy of the License at
*
* http://www.apache.org/licenses/LICENSE-2.0
*
* Unless required by applicable law or agreed to in writing, software distributed under the License is distributed on
* an "AS IS" BASIS, WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. See the License for the
* specific language governing permissions and limitations under the License.
*
* SPDX-License-Identifier: Apache-2.0
*/
package org.hyperledger.besu.evmtool.benchmarks;
import org.hyperledger.besu.evm.EvmSpecVersion;
import org.hyperledger.besu.evm.precompile.AbstractBLS12PrecompiledContract;
import org.hyperledger.besu.evm.precompile.BLS12G1AddPrecompiledContract;
import org.hyperledger.besu.evm.precompile.BLS12G1MulPrecompiledContract;
import org.hyperledger.besu.evm.precompile.BLS12G1MultiExpPrecompiledContract;
import org.hyperledger.besu.evm.precompile.BLS12G2AddPrecompiledContract;
import org.hyperledger.besu.evm.precompile.BLS12G2MulPrecompiledContract;
import org.hyperledger.besu.evm.precompile.BLS12G2MultiExpPrecompiledContract;
import org.hyperledger.besu.evm.precompile.BLS12MapFp2ToG2PrecompiledContract;
import org.hyperledger.besu.evm.precompile.BLS12MapFpToG1PrecompiledContract;
import org.hyperledger.besu.evm.precompile.BLS12PairingPrecompiledContract;
import java.io.PrintStream;
import java.util.LinkedHashMap;
import java.util.Map;
import org.apache.tuweni.bytes.Bytes;
/** Benchmark BLS12-381 G1 and G2 MSM */
public class BLS12Benchmark extends BenchmarkExecutor {
/** Benchmark BLS12-381 G1 and G2 MSM with default warmup and iterations */
public BLS12Benchmark() {
super(MATH_WARMUP, MATH_ITERATIONS);
}
static final String[] scalars = {
"4e826175762bd086135d18ae935fb085ab3e12b0f5aa4ea3aac99a1c41afae34",
"7257faefdb84241d947a02c5d19daee65333d6277dfe7212849528eb7812bede",
"d291f31a5a96f170cc6dc8144562f8c7dbe67afe79c2a2ec53222bc129cbeba4",
"b99e32c244f2de2fc6b462a55584229818c5c4cdfd2c74454d7d85e58d8a4809",
"cdb41b97d135aff1d848c3ee8885073a972cbdb92ab5f1dc79e89840ef51f6a3",
"d4c909fae1c3b026ebcdb4a1885c1f5d8b6cb4aaa9cf8712e8a3add53da55bf0",
"4dd3dd8562816ac0bd72081d2dea42d27078a5618ff525bef4fd2628a6fb4326",
"0c68f33b013b0bc960b4e905e75e225bf27e468692d0f271e7e30af23b905393",
"2c2dd13c6858693241613d34d45cfcf05c5f71fcb5b34483d8ef3133e5af6304",
"0b4fca47643819aeea5fa85035ffa735c0945fbe6e1170f9639ca478b45a41fd",
"1e76ab4951f522acc99225ef30b9b4936d27134e76d86222e8b916c9cde4bc78",
"36b4741673e3f433bf460632c2a89b279e8032d7b236c402f4720b361c865a04",
"e40cded572e8ad87da276d41d08edafe10576b526776b8e71c6d80bdf6239932",
"25ea3392dff756934628f586ada2225f5af0e03078d704cde4da460875698e6b",
"450648e218031d8307ae71a369d95a86ebe14db8f5d394697633a379be496976",
"f03b5f08231c44cedcea848dc18a42bef0895ba4696e8ec7ecaa0615a5158883",
"9fa8482dda8cc2f20cd9b4dc63f72be23a7652e7e5fe1436b90b477adb735ed1",
"0978dda7cb30dd643e472b0a3f8196fc51fad22d30f0f01d7cb570d85d7b353b",
"387b7f3f892cc754b5dc6c724d89b791934f6914778b5c84a6892abe6b999ab1",
"1d2b5094b14b26c9ed3100222f19bbbb289f2638c29f5fbbafd68574873d4287",
"cd7aabd84ffd41b589dec5d4af4b17681218e1fa16a3e9855385d35b18dfd2b2",
"d3c6c9bb36e9d5647eadd40ac68b57e0fa17352f558f270b8f7724f6dd3f19d4",
"7d7f485c07f94d37c80e6710515863b780883e2beee772bc7d7c1cc0f10ed245",
"8d7bd0d7a9ff1fc481fc6b9a6d1c58d6bf01d7017f7a3bd1b826d38076d1c6fd",
"f939c5d735bef50e7d22408012d3bb664179d098a42fa2f2dfe2bdb8f9b6c074",
"b02686dd55be9fc6a791cac72a2c32b5e6f86c0f5b92b52f2efc72ac2043837d",
"11073c2c13655c6802ae8918403d17106d630b7519bc61dc6e592bca5f7392c8",
"fb8130bbf0067026d67d44e464b568db99e0dc02dc48fe8a4753d806cd647d3f",
"a558312bdbefc905932e51cb05eab0cd546a8f9a41a135746eac247840ca434e",
"9b5026e422f16837ca568490bd4ebba629391319b9b076d7c644989991a00c94",
"c480e504a8ca9556770dd3b9cd8d515f505098c0450679c158ed54f75d9224c0",
"8b450d2be25e0f596ef0c1a4fa06fbc044f087704469f499aa8967ce8844f080",
};
static final String[] g1PointPairs = {
"0000000000000000000000000000000009f5bf486941d9a9f8c742fa43ee279d75419d4c11d1fbaed1dc19c624e168dcfe50ce4673d7ca6d42051dc7b799d7b3000000000000000000000000000000000aa47f7618e3dbe09730b9d378ac113dd841f7e42dfb390ff486e2820345208e2d7433244eedb233bcb807c08c55919e",
"000000000000000000000000000000000786d2c808ffaa25cc78e484da52b01698ad8eb55846961d2b62fd578432f3466da7e22cc34298fec4e34e33b88243b300000000000000000000000000000000015e8b79f94e318336bc50f0cdc4c9bde81052ffd0fd48c5b915be878a1a1b2f3a71d7587fd9892a44c9ec71fac5bb80",
"0000000000000000000000000000000016206b9006c026c95c2879f2b950a074b2660333962e21d06d3cf1a9d6ff33921349f286a9002b515b384104a32076de0000000000000000000000000000000009b72f249f9037ca7cec181df2f5798d0a8253d86dd61ca6e416cd1652bd4c400a5689e6d29783fa1a8578700470146d",
"00000000000000000000000000000000093f21aaaaf2044cdf9a80ca3afa75db4e32aa2870fb6b9dbb22493956d6e01a7f566d567b67307b1ca91355669b28d100000000000000000000000000000000083b0a9758f5b562b930f24456e56845a87352a9b28367df59f46b570af1b8b3f2a4d4a7e9d272faf2fdb53d5077cf51",
"0000000000000000000000000000000003cc0abeff05a8d78ee0e94d8cf71d6d0a5889968b99e5b9c6a3d283d7fcf44caf8c11619c75020bf9dc8e8fb451407d0000000000000000000000000000000005171356814d04c944564fbe478f1c953c96d5b8b269813d0a31272346c078956103eb2808ae2c83528066a9e54736fd",
"000000000000000000000000000000000437b80cfb19bc01e0050bb3def6da7dcfc7b26c4eb35b2f922685062bfac10d78b02d86ab45025286bb9f3293c2560f000000000000000000000000000000001934da79acc0e74284af492d5fb1f942ac5ff8660f18769f4f241ec724df952c9286eee55683b4c495f1cb4c3e1fbbf4",
"0000000000000000000000000000000006310c85629fe02d094c224f83dbfebd9cb950ccb28832000771663bb93cf4cb8ad8016f0fc4ee42f8584ad8ce00498a0000000000000000000000000000000014264f7c2fe86174729843b3db54cdb76b5a892fc73a5e67083b937448634e516a93e170934c1b8a30c71a8405735bb3",
"000000000000000000000000000000000b6539f785b36fd3dc041676bd37c77033c26e3881b4b47fbd093eb28c7ce9ecef7c9b588850e08ec06793d0e0034d95000000000000000000000000000000000401571cd8ef0289d239bf7b0115708e2ba04a577548c38a5b283cd3bf945185e2f7ba744ba345e60a61b9405865a67a",
"000000000000000000000000000000001861eb880875a3f7bb7a45eb2dd32adffb68abf1682a5268a68fd9691db119c72f7f21cb98884619ec09f4f9a9189816000000000000000000000000000000000233a0e8c1f4c7dc3e4672f7a6a1e226bb07f445790f5d0c5b1437a3030e4b4e95645c9d0aae16e570d79af0830b8ada",
"000000000000000000000000000000000f99c56935dea38c1691645d3ab576a762b5559c31c46edbc8c70b74c3b40f79c84c4623cc72206732a620beec0ed10d000000000000000000000000000000000786714ffa00436d9e53f898e98a5fd3bc799dfe0eac8f7ab4204b2c9b464329aa14bc58aa23ab1606113b8a90a98b81",
"00000000000000000000000000000000005e8658e3105fe051190127fba5db7d2ec47655bed72acc1c4a9b985b1330932b6e339d76d9f56b2b8d6e8b8cba1f420000000000000000000000000000000019e18081a769839b3849222e2f9bef86f50f398409d776e7e5f462bef75e8769a7257139826ae4dab7be8a344e43eb35",
"0000000000000000000000000000000005cdf9c9f5091d495d7c8707505c9051fd6bc2e01899bdb24d8f55e97e0c034b2ea2173c73250acf3814a3751659b653000000000000000000000000000000000adbeed0c8abdd5650502e96a14ec1b0af697d27f1de92e82a4d70dd763a7c83df1e1483a73155a7362ab6e830cb5b60",
"0000000000000000000000000000000006aa3ff84449d8326edc0971e18dd77d06ef2f7214c8849dc9db9e9541f2788e84f1713daa2fd014308321930f474493000000000000000000000000000000000f39da6466995da0227cef277bb50692373896bca7b0c6dad3fa6241e367186fce75cfe67337e59660adea207cf21578",
"0000000000000000000000000000000011079caf8ecad1b7fc8a5e52fa02e2cc54fdeff788ce74d94de474e964736da7bbd48fe103908fdfaf21e618cd8bd570000000000000000000000000000000001391f3f5ac9d63bc769e3462323a25349fb879849966a14c28d7ea4c43656dec785e9c10e600fb2c77960185a25a5a30",
"00000000000000000000000000000000030ada1568c82dbe97fc8b7f3f0119014513ea86a109f76d4e0fab865515c1a2a2f062da5d2fec52585fcbc61b62822700000000000000000000000000000000141e65d12ff426e2a6b665f7860e8dae8d1de1e4e3a3a062032a555d79e820bbfd727cf769980bde73dd181db7b4ef4b",
"000000000000000000000000000000000e17d2ed1881b7513d2323e606c6551036c86f1c455657e8c7d56bd95ab906d9b2cb56a244ddbe59e7552d1eebb1e19400000000000000000000000000000000176bfc0dd0953a54f5c3c162a7b5d30375cfda78da80975757cf9496b9aa015263efb035a0361c794c89478896cd1e82",
"000000000000000000000000000000001560b598256b713e21cb49b0e16849456d555788a93d1bb778ad7f8f4b090cf0aa115a5f0535eac2276fd1d81d10db44000000000000000000000000000000000d6d0b42990da37fd54801164a148adebcf4ed22874ab64f78f6d323a3bf07ce8470214c4bfb4a0a2e5d979d34f8091f",
"000000000000000000000000000000000a17df46b5bb50ed8c065aab3b551a1a174d85758169a57f952c08a6878466efc0faad3439b341f9e863e360fd2450f7000000000000000000000000000000000e20917637b3f270025909ecdc1946aed29389d60af02933b3da348ab6ac5380198c8fc6985547c7438452c7d977ac41",
"00000000000000000000000000000000139e3c560a50d7fb86e3b59fbac5445f9c0ab0978b3cf1d6d51d5dbfd86b8233c1a0d13a3bc3c2f266d1d938519c801a0000000000000000000000000000000014fd5a3ca318171ef34723ee5cf58b4736105cc69e5c3a10da3fb895e45f1569fc5ede086a5737281280f11ad7d77b1d",
"0000000000000000000000000000000006419acd10144ced4f53b8a875f6ff40b777af68ecf3e7245243b9c74037fc128ed2c9e6304e629deac852007695b615000000000000000000000000000000001234916bc5701e0b43af04174cf25b780da79f643f5dcb98748b3ee9c5cd9d39e8c026948745970cc1d7e839616ef649",
"00000000000000000000000000000000105f212197eb701ed73f5c3ef3a6504d10e20ce70de26a76f3f1e5ce444d1a24e2384d63d4dfd3998d6cd938505adaeb0000000000000000000000000000000016e5f4d98bac752563aefee58920392f3db9c24873c42cd7d0ac7f26a412502dafea025fc63a7b45f8ff5f390a76c7e7",
"0000000000000000000000000000000010e3a266c9fe2ef7bd6da2a11ad73466d398177738a69629a55fdd33ec088600d750f4b270213f091b25f67d7d4687d50000000000000000000000000000000016eabfcc65d89e64317145fd2dfd397841a20c54518ce9133cc38768fe8a12aa937b25fb088a0f92cd9de81b45b1ee24",
"00000000000000000000000000000000196205afe922e753f3b9907caedf380fc506bae61e12bf48483560c32f7f62d28c94b3a3661cd8e09f6445893f471e60000000000000000000000000000000000385e8e99fec6bec5a6ca1c1b947317a7f98b9d6860228a752cbf909153a5ab045a9fafc3d0d10f4d38e3e29311fb9e3",
"0000000000000000000000000000000014ca7e56d5209106aed424aa92d8b9a746da0eca913aaf5dbee3cb010fcd7db0a969eb5b8ba56a222d29424db5d2ee43000000000000000000000000000000000df722a8de5dc9333df241f1b8eec12c3c3c34194f065dabe9177c00928279db561ddc648d074975921fd6ca9fe795b2",
"0000000000000000000000000000000017f9ffb90222613c6e03da79ce610a53c10b218ab1a57e3b8c136ea22360f52965f9b1d349f25ea2e7d71a669c8b12d200000000000000000000000000000000150f4c0c65de339cdf44826213be1c5307fe820c80f44729276af0d5e3f1e8c1b7eedba77ab58f742f9f045493a4f583",
"000000000000000000000000000000001643c91e1ea8ead940645595352fb680642deba457b2222b415144fe64d0031b8efc4de5d7c42f63c6e64a7be988514200000000000000000000000000000000143b72204f89fa6fcd6f603e370904e532acbe51930495bce552e3eb2081453806a432a18e52874e495b989111b22435",
"00000000000000000000000000000000165b7fe90a6e39a14a11eb729aae227f35cf9ae240bed66c296e616c7a4912183e985532d5a5e1200cb42a5392b33baa00000000000000000000000000000000056a849e23ffcb32e04a1aa50b3402efe8854173180c8ebca1c55e52a59629e8557c6c8f3914cb03e9088e371ef2f835",
"00000000000000000000000000000000066f0bc365eb53a05bc9561d32af5d32acc0796f5a76eaa1c8f15f1b0a3ac6f3bc911bca630749dcc64ed2f9c4e25d56000000000000000000000000000000000f9ba6af35d2f116f4341b03caf175bc27f007d5645866dc3b3bee8665d45f204f73e0e25cdcfa339b2946773919e804",
"00000000000000000000000000000000104673bac88cbacfd38a26aca0a5435407e2086f2c666c89b5769393bfc247a10937ec3441c6c274760b590d2622a9df0000000000000000000000000000000019cb77c56ad20e574cdd0681bfc1131f069f58ad8e3a5e8898cc100a4c59e503a400e095d44bc5cdffb2ec8c07825ece",
"00000000000000000000000000000000039faa653341ea8e2ddfdf2bdc5de84d8a1a9027abedab3cadf5c1fb69262f0db7ea94ac8bb2abfb132a000d390b58f80000000000000000000000000000000012aadfad64ca2203860ef91a1cb88cbf817be2676ad25c7cd55bc84a6012621a41909fe28325276aa3cad5baf1be6cb0",
"00000000000000000000000000000000004dba2a3ff8eb3ef159ff2e66c65f51016efb2f755ef41089f84960dca19a62d6677ecc59ad1a7ca3abf4d11944d53d00000000000000000000000000000000002a928c7e135f095226050069ea0b219d42b8865cbae0d3ba9f10aa283dfa7c28f1778adc0225356eb2579379b57263",
"0000000000000000000000000000000017979ff6656fc8d015b8b5d486ae947000d277ce55a69b19d63f63ab654aaf0892dda72dfbc082bc3bef59f96af872a20000000000000000000000000000000019ac1fe79cb8a3373f7224d4115beaf742cb3bdafd954aad002c2ba24874392f6a0ba5f5b225d3c3c3cf82979254cbe0"
};
String[] g2PointPairs = {
"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",
"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",
"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",
"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",
"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",
"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",
"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",
"000000000000000000000000000000000e6d721b7ceb4c026c387fba083484264cdb87c979ab45aceb0c800ef0af7b67ca495b4e8e929077f6b2d70552843551000000000000000000000000000000000076523e8c6900242bfda291399fd6a0900cb0b7745d7c150a27b692ddf047a6bc2b5bd20aefcb38a9550d45beef2ebb0000000000000000000000000000000004eb54c19ed6a4ba9be94d17fa361dd677c5e9c0ac27f15f3da745cc9245ca5114570a8a44570d643ca6fec24c5a8e9a0000000000000000000000000000000001fbd43e2c73b106c9e59ba823a264d5926addf6988e2cc97847bad292359cf77702597c9df33b0251f328da8f209cc0",
"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",
"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",
"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",
"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",
"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",
"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",
"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",
"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",
"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",
"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",
"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",
"00000000000000000000000000000000009c9b846d3b8262703bcd56a584a423f2d6ea0009a242f45d60ac04146206a1fd0bf2d709cebb5276b32a34d08937af0000000000000000000000000000000014485fa2c535058ded72048ae7e3194434f6beabf94bc7048d23949a69f541c3fbfdb4270bf05e128a1d6648c9a59534000000000000000000000000000000000714427d464c715ca5720174ad15540598272fc4b9a5a0657106a4e9abe130935ebf6bce5749df1880000f06bd1922b8000000000000000000000000000000000e8916b52c09791dffb80f221d8868c2af09ace7304cd04de1c7c1a3d593d2be349c106b908e37fba49de0e72688a16d",
"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",
"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",
"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",
"0000000000000000000000000000000002353771bf8f24b6340365cd7c5fa34e1af4a6d485c6f0d2db82d5f193e649e92d952556b6ea4daf095ac0a9e4e759570000000000000000000000000000000013d62324d07334f3a5b1bf9eb09a0eed954839e43a93599852abea9b39be0d08a82364688067e1689d4457a15fc33d6c0000000000000000000000000000000015f2b988a767cd395d5d3523b93783a1fe615d89eb5b2184a25af1cb4d2b23a40756552c4f5e6a9e4cd09d6bb881791d000000000000000000000000000000000c23f17079a62bf4b73af2b7b4d39c539ab1034b113b89e56e5adf2d3c7d78e5ef1da1fd59878535b9ae56b6928cc22f",
"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",
"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",
"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",
"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",
"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",
"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",
"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",
"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",
};
@Override
public void runBenchmark(
final PrintStream output, final Boolean attemptNative, final String fork) {
EvmSpecVersion forkVersion = EvmSpecVersion.fromName(fork);
if (forkVersion.compareTo(EvmSpecVersion.PRAGUE) < 0) {
output.printf("EIP2537 is not available before Prague\n");
return;
}
if (!AbstractBLS12PrecompiledContract.isAvailable()) {
output.printf(
"BLS12-381 not available on this platform %s %s %s\n",
System.getProperty("os.name"),
System.getProperty("os.version"),
System.getProperty("os.arch"));
return;
}
benchmarkG1Add(output);
benchmarkG1Mul(output);
benchmarkG1MultiExp32Pairs(output);
benchmarkMapFpToG1(output);
benchmarkG2Add(output);
benchmarkG2Mul(output);
benchmarkG2MultiExp32Pairs(output);
benchmarkMapFp2ToG2(output);
benchmarkBlsPairing(output);
}
private void benchmarkG1Add(final PrintStream output) {
final Map<String, Bytes> testCases = new LinkedHashMap<>();
for (int i = 0; i < g1PointPairs.length - 1; i++) {
testCases.put("G1 Add " + i, Bytes.fromHexString(g1PointPairs[i] + g1PointPairs[i + 1]));
}
BLS12G1AddPrecompiledContract g1addContract = new BLS12G1AddPrecompiledContract();
warmup = MATH_WARMUP / testCases.size();
iterations = MATH_ITERATIONS / testCases.size();
double execTime = Double.MIN_VALUE; // a way to dodge divide by zero
long gasCost = 0;
for (final Map.Entry<String, Bytes> testCase : testCases.entrySet()) {
execTime += runPrecompileBenchmark(testCase.getValue(), g1addContract);
gasCost += g1addContract.gasRequirement(testCase.getValue());
}
execTime /= testCases.size();
gasCost /= testCases.size();
output.printf(
"Bls12 G1 Add %,6d avg gas @%,7.1f µs /%,8.1f MGps%n",
gasCost, execTime * 1_000_000, gasCost / execTime / 1_000_000);
}
private void benchmarkG1Mul(final PrintStream output) {
final Map<String, Bytes> testCases = new LinkedHashMap<>();
for (int i = 0; i < g1PointPairs.length; i++) {
testCases.put("G1 Mul " + i, Bytes.fromHexString(g1PointPairs[i] + scalars[i]));
}
BLS12G1MulPrecompiledContract g1addContract = new BLS12G1MulPrecompiledContract();
warmup = MATH_WARMUP / testCases.size();
iterations = MATH_ITERATIONS / testCases.size();
double execTime = Double.MIN_VALUE; // a way to dodge divide by zero
long gasCost = 0;
for (final Map.Entry<String, Bytes> testCase : testCases.entrySet()) {
execTime += runPrecompileBenchmark(testCase.getValue(), g1addContract);
gasCost += g1addContract.gasRequirement(testCase.getValue());
}
execTime /= testCases.size();
gasCost /= testCases.size();
output.printf(
"Bls12 G1 Mul %,6d avg gas @%,7.1f µs /%,8.1f MGps%n",
gasCost, execTime * 1_000_000, gasCost / execTime / 1_000_000);
}
private void benchmarkG1MultiExp32Pairs(final PrintStream output) {
final Map<String, Bytes> testCases = new LinkedHashMap<>();
// add test cases for 2, 4, 8, 16, and 32 point/scalar pairs
for (int i = 1; i <= 5; i++) {
StringBuilder g1msmPairs = new StringBuilder();
for (int j = 0; j < 1 << i; j++) {
g1msmPairs.append(g1PointPairs[j]).append(scalars[j]);
}
testCases.put("G1 MSM, " + (1 << i) + " pairs", Bytes.fromHexString(g1msmPairs.toString()));
}
BLS12G1MultiExpPrecompiledContract g1msmContract = new BLS12G1MultiExpPrecompiledContract();
warmup = MATH_WARMUP / testCases.size();
iterations = MATH_ITERATIONS / testCases.size();
double execTime = Double.MIN_VALUE; // a way to dodge divide by zero
long gasCost = 0;
for (final Map.Entry<String, Bytes> testCase : testCases.entrySet()) {
execTime += runPrecompileBenchmark(testCase.getValue(), g1msmContract);
gasCost += g1msmContract.gasRequirement(testCase.getValue());
}
output.printf(
"Bls12 G1 MSM %,9d total gas @%,7.1f µs /%,8.1f MGps%n",
gasCost, execTime * 1_000_000, gasCost / execTime / 1_000_000);
}
private void benchmarkMapFpToG1(final PrintStream output) {
final Map<String, Bytes> testCases = new LinkedHashMap<>();
for (int i = 0; i < g1PointPairs.length; i++) {
testCases.put("Map Fp to G1 " + i, Bytes.fromHexString(g1PointPairs[i].substring(0, 128)));
}
BLS12MapFpToG1PrecompiledContract g1MapFpToG1Contract = new BLS12MapFpToG1PrecompiledContract();
warmup = MATH_WARMUP / testCases.size();
iterations = MATH_ITERATIONS / testCases.size();
double execTime = Double.MIN_VALUE; // a way to dodge divide by zero
long gasCost = 0;
for (final Map.Entry<String, Bytes> testCase : testCases.entrySet()) {
execTime += runPrecompileBenchmark(testCase.getValue(), g1MapFpToG1Contract);
gasCost += g1MapFpToG1Contract.gasRequirement(testCase.getValue());
}
execTime /= testCases.size();
gasCost /= testCases.size();
output.printf(
"Bls12 MapFpToG1 %,6d avg gas @%,7.1f µs /%,8.1f MGps%n",
gasCost, execTime * 1_000_000, gasCost / execTime / 1_000_000);
}
private void benchmarkG2Add(final PrintStream output) {
final Map<String, Bytes> testCases = new LinkedHashMap<>();
for (int i = 0; i < g2PointPairs.length - 1; i++) {
testCases.put("G2 Add " + i, Bytes.fromHexString(g2PointPairs[i] + g2PointPairs[i + 1]));
}
BLS12G2AddPrecompiledContract g1addContract = new BLS12G2AddPrecompiledContract();
warmup = MATH_WARMUP / testCases.size();
iterations = MATH_ITERATIONS / testCases.size();
double execTime = Double.MIN_VALUE; // a way to dodge divide by zero
long gasCost = 0;
for (final Map.Entry<String, Bytes> testCase : testCases.entrySet()) {
execTime += runPrecompileBenchmark(testCase.getValue(), g1addContract);
gasCost += g1addContract.gasRequirement(testCase.getValue());
}
execTime /= testCases.size();
gasCost /= testCases.size();
output.printf(
"Bls12 G2 Add %,6d avg gas @%,7.1f µs /%,8.1f MGps%n",
gasCost, execTime * 1_000_000, gasCost / execTime / 1_000_000);
}
private void benchmarkG2Mul(final PrintStream output) {
final Map<String, Bytes> testCases = new LinkedHashMap<>();
for (int i = 0; i < g2PointPairs.length; i++) {
testCases.put("G2 Mul " + i, Bytes.fromHexString(g2PointPairs[i] + scalars[i]));
}
BLS12G2MulPrecompiledContract g1addContract = new BLS12G2MulPrecompiledContract();
warmup = MATH_WARMUP / testCases.size();
iterations = MATH_ITERATIONS / testCases.size();
double execTime = Double.MIN_VALUE; // a way to dodge divide by zero
long gasCost = 0;
for (final Map.Entry<String, Bytes> testCase : testCases.entrySet()) {
execTime += runPrecompileBenchmark(testCase.getValue(), g1addContract);
gasCost += g1addContract.gasRequirement(testCase.getValue());
}
execTime /= testCases.size();
gasCost /= testCases.size();
output.printf(
"Bls12 G2 Mul %,6d avg gas @%,7.1f µs /%,8.1f MGps%n",
gasCost, execTime * 1_000_000, gasCost / execTime / 1_000_000);
}
private void benchmarkG2MultiExp32Pairs(final PrintStream output) {
final Map<String, Bytes> testCases = new LinkedHashMap<>();
// add test cases for 2, 4, 8, 16, and 32 point/scalar pairs
for (int i = 1; i <= 5; i++) {
StringBuilder g2msmPairs = new StringBuilder();
for (int j = 0; j < 1 << i; j++) {
g2msmPairs.append(g2PointPairs[j]).append(scalars[j]);
}
testCases.put("G2 MSM, " + (1 << i) + " pairs", Bytes.fromHexString(g2msmPairs.toString()));
}
BLS12G2MultiExpPrecompiledContract g2msmContract = new BLS12G2MultiExpPrecompiledContract();
warmup = MATH_WARMUP / testCases.size();
iterations = MATH_ITERATIONS / testCases.size();
double execTime = Double.MIN_VALUE; // a way to dodge divide by zero
long gasCost = 0;
for (final Map.Entry<String, Bytes> testCase : testCases.entrySet()) {
execTime += runPrecompileBenchmark(testCase.getValue(), g2msmContract);
gasCost += g2msmContract.gasRequirement(testCase.getValue());
}
output.printf(
"Bls12 G2 MSM %,9d total gas @%,7.1f µs /%,8.1f MGps%n",
gasCost, execTime * 1_000_000, gasCost / execTime / 1_000_000);
}
private void benchmarkMapFp2ToG2(final PrintStream output) {
final Map<String, Bytes> testCases = new LinkedHashMap<>();
for (int i = 0; i < g2PointPairs.length; i++) {
testCases.put("Map Fp2 to G2 " + i, Bytes.fromHexString(g2PointPairs[i].substring(0, 256)));
}
BLS12MapFp2ToG2PrecompiledContract g1MapFp2ToG2Contract =
new BLS12MapFp2ToG2PrecompiledContract();
warmup = MATH_WARMUP / testCases.size();
iterations = MATH_ITERATIONS / testCases.size();
double execTime = Double.MIN_VALUE; // a way to dodge divide by zero
long gasCost = 0;
for (final Map.Entry<String, Bytes> testCase : testCases.entrySet()) {
execTime += runPrecompileBenchmark(testCase.getValue(), g1MapFp2ToG2Contract);
gasCost += g1MapFp2ToG2Contract.gasRequirement(testCase.getValue());
}
execTime /= testCases.size();
gasCost /= testCases.size();
output.printf(
"Bls12 MapFp2G1 %,6d avg gas @%,7.1f µs /%,8.1f MGps%n",
gasCost, execTime * 1_000_000, gasCost / execTime / 1_000_000);
}
private void benchmarkBlsPairing(final PrintStream output) {
final Map<String, Bytes> testCases = new LinkedHashMap<>();
// add test cases for 2, 4, 8, 16, and 32 point/scalar pairs
for (int i = 1; i <= 5; i++) {
StringBuilder pairs = new StringBuilder();
for (int j = 0; j < 1 << i; j++) {
pairs.append(g1PointPairs[j]).append(g2PointPairs[j]);
}
testCases.put("BLS Pairing, " + (1 << i) + " pairs", Bytes.fromHexString(pairs.toString()));
}
BLS12PairingPrecompiledContract blsPairingContract = new BLS12PairingPrecompiledContract();
warmup = MATH_WARMUP / testCases.size();
iterations = MATH_ITERATIONS / testCases.size();
double execTime = Double.MIN_VALUE; // a way to dodge divide by zero
long gasCost = 0;
for (final Map.Entry<String, Bytes> testCase : testCases.entrySet()) {
execTime += runPrecompileBenchmark(testCase.getValue(), blsPairingContract);
gasCost += blsPairingContract.gasRequirement(testCase.getValue());
}
output.printf(
"Bls12 Pairing %,9d total gas @%,7.1f µs /%,8.1f MGps%n",
gasCost, execTime * 1_000_000, gasCost / execTime / 1_000_000);
}
}

14
evm/src/main/java/org/hyperledger/besu/evm/precompile/AbstractBLS12PrecompiledContract.java
Unescape View File

@ -67,6 +67,20 @@ public abstract class AbstractBLS12PrecompiledContract implements PrecompiledCon
this.inputLimit = inputLen + 1;
}
/**
* Is bls12 supported on this platform
*
* @return true if the native library was loaded.
*/
public static boolean isAvailable() {
try {
return LibGnarkEIP2537.ENABLED;
} catch (UnsatisfiedLinkError | NoClassDefFoundError ule) {
LOG.info("bls12-381 native precompile not available: {}", ule.getMessage());
}
return false;
}
@Override
public String getName() {
return name;

6
gradle.properties
Unescape View File

@ -4,6 +4,10 @@ org.gradle.welcome=never
# version=24.5.6-acme
# versionappendcommit=true
# Optional, skip dependency verification for dev/debug builds
# org.gradle.dependency.verification=lenient
# Set exports/opens flags required by Google Java Format and ErrorProne plugins. (JEP-396)
org.gradle.jvmargs=-Xmx4g \
--add-exports jdk.compiler/com.sun.tools.javac.api=ALL-UNNAMED \
@ -18,4 +22,4 @@ org.gradle.jvmargs=-Xmx4g \
--add-opens jdk.compiler/com.sun.tools.javac.comp=ALL-UNNAMED \
--add-opens jdk.compiler/com.sun.tools.javac.parser=ALL-UNNAMED
# Could be moved to sonar properties after https://sonarsource.atlassian.net/browse/SONARGRADL-134
systemProp.sonar.gradle.skipCompile=true
systemProp.sonar.gradle.skipCompile=true

Write Preview
Loading…
Cancel
Save