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/*
 * Copyright 2014-2025 Real Logic Limited.
 *
 * 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
 *
 * https://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.
 */
package io.aeron.driver;

import java.util.concurrent.ThreadLocalRandom;

/**
 * Feedback delay used for NAKs as well as for some retransmission use cases.
 * 

* Generates delay based on Optimal Multicast Feedback
* http://tools.ietf.org/html/rfc5401#page-13 *

* {@code maxBackoffT} is max interval for delay *

* C version of the code: *

{@code
 * double RandomBackoff(double maxBackoffT, double groupSize)
 * {
 *     double lambda = log(groupSize) + 1;
 *     double x = UniformRand(lambda / maxBackoffT) + lambda / (maxBackoffT * (exp(lambda) - 1));
 *     return ((maxBackoffT / lambda) * log(x * (exp(lambda) - 1) * (maxBackoffT / lambda)));
 * }
 * }
* where {@code UniformRand(x)} is uniform distribution from {@code 0..max} *

* In this implementation's calculation: *

    *
  • the {@code groupSize} is a constant (could be configurable as system property)
  • *
  • {@code maxBackoffT} is a constant (could be configurable as system property)
  • *
  • {@code GRTT} is a constant (could be configurable as a system property)
  • *
*

* {@code N} (the expected number of feedback messages per RTT) is:
* {@code N = exp(1.2 * L / (2 * maxBackoffT / GRTT))} *

* Assumptions: *

* {@code maxBackoffT = K * GRTT (K >= 1)} *

* Recommended {@code K}: *

    *
  • K = 4 for situations where responses come from multiple places (i.e. for NAKs, multiple retransmitters)
  • *
  • K = 6 for situations where responses come from single places (i.e. for NAKs, source only retransmit)
  • *
*/ public class OptimalMulticastDelayGenerator implements FeedbackDelayGenerator { private final double randMax; private final double baseX; private final double constantT; private final double factorT; /** * Create new feedback delay generator based on estimates. Pre-calculating some parameters upfront. * * @param maxBackoffT of the delay interval * @param groupSize estimate */ public OptimalMulticastDelayGenerator(final double maxBackoffT, final double groupSize) { final double lambda = Math.log(groupSize) + 1; this.randMax = lambda / maxBackoffT; this.baseX = lambda / (maxBackoffT * (Math.exp(lambda) - 1)); this.constantT = maxBackoffT / lambda; this.factorT = (Math.exp(lambda) - 1) * (maxBackoffT / lambda); } /** * {@inheritDoc} */ public long generateDelayNs() { return (long)generateNewOptimalDelay(); } /** * {@inheritDoc} */ public boolean shouldFeedbackImmediately() { return false; } /** * Generate a new randomized delay value in the units of {@code maxBackoffT}}. * * @return delay in units of {@code maxBackoffT}. */ public double generateNewOptimalDelay() { final double x = uniformRandom(randMax) + baseX; return constantT * Math.log(x * factorT); } /** * Return uniform random value in the range 0 to max. * * @param max of the random range * @return random value */ public static double uniformRandom(final double max) { return ThreadLocalRandom.current().nextDouble() * max; } /** * {@inheritDoc} */ public String toString() { return "OptimalMulticastDelayGenerator{" + "randMax=" + randMax + ", baseX=" + baseX + ", constantT=" + constantT + ", factorT=" + factorT + ", shouldFeedbackImmediately=" + shouldFeedbackImmediately() + '}'; } }




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