| /* |
| * Licensed to the Apache Software Foundation (ASF) under one or more |
| * contributor license agreements. See the NOTICE file distributed with |
| * this work for additional information regarding copyright ownership. |
| * The ASF licenses this file to You 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. |
| */ |
| package org.apache.commons.math3.distribution; |
| |
| import org.apache.commons.math3.exception.NumberIsTooLargeException; |
| import org.apache.commons.math3.exception.OutOfRangeException; |
| |
| /** |
| * Interface for distributions on the integers. |
| * |
| */ |
| public interface IntegerDistribution { |
| /** |
| * For a random variable {@code X} whose values are distributed according |
| * to this distribution, this method returns {@code P(X = x)}. In other |
| * words, this method represents the probability mass function (PMF) |
| * for the distribution. |
| * |
| * @param x the point at which the PMF is evaluated |
| * @return the value of the probability mass function at {@code x} |
| */ |
| double probability(int x); |
| |
| /** |
| * For a random variable {@code X} whose values are distributed according |
| * to this distribution, this method returns {@code P(X <= x)}. In other |
| * words, this method represents the (cumulative) distribution function |
| * (CDF) for this distribution. |
| * |
| * @param x the point at which the CDF is evaluated |
| * @return the probability that a random variable with this |
| * distribution takes a value less than or equal to {@code x} |
| */ |
| double cumulativeProbability(int x); |
| |
| /** |
| * For a random variable {@code X} whose values are distributed according |
| * to this distribution, this method returns {@code P(x0 < X <= x1)}. |
| * |
| * @param x0 the exclusive lower bound |
| * @param x1 the inclusive upper bound |
| * @return the probability that a random variable with this distribution |
| * will take a value between {@code x0} and {@code x1}, |
| * excluding the lower and including the upper endpoint |
| * @throws NumberIsTooLargeException if {@code x0 > x1} |
| */ |
| double cumulativeProbability(int x0, int x1) throws NumberIsTooLargeException; |
| |
| /** |
| * Computes the quantile function of this distribution. |
| * For a random variable {@code X} distributed according to this distribution, |
| * the returned value is |
| * <ul> |
| * <li><code>inf{x in Z | P(X<=x) >= p}</code> for {@code 0 < p <= 1},</li> |
| * <li><code>inf{x in Z | P(X<=x) > 0}</code> for {@code p = 0}.</li> |
| * </ul> |
| * If the result exceeds the range of the data type {@code int}, |
| * then {@code Integer.MIN_VALUE} or {@code Integer.MAX_VALUE} is returned. |
| * |
| * @param p the cumulative probability |
| * @return the smallest {@code p}-quantile of this distribution |
| * (largest 0-quantile for {@code p = 0}) |
| * @throws OutOfRangeException if {@code p < 0} or {@code p > 1} |
| */ |
| int inverseCumulativeProbability(double p) throws OutOfRangeException; |
| |
| /** |
| * Use this method to get the numerical value of the mean of this |
| * distribution. |
| * |
| * @return the mean or {@code Double.NaN} if it is not defined |
| */ |
| double getNumericalMean(); |
| |
| /** |
| * Use this method to get the numerical value of the variance of this |
| * distribution. |
| * |
| * @return the variance (possibly {@code Double.POSITIVE_INFINITY} or |
| * {@code Double.NaN} if it is not defined) |
| */ |
| double getNumericalVariance(); |
| |
| /** |
| * Access the lower bound of the support. This method must return the same |
| * value as {@code inverseCumulativeProbability(0)}. In other words, this |
| * method must return |
| * <p><code>inf {x in Z | P(X <= x) > 0}</code>.</p> |
| * |
| * @return lower bound of the support ({@code Integer.MIN_VALUE} |
| * for negative infinity) |
| */ |
| int getSupportLowerBound(); |
| |
| /** |
| * Access the upper bound of the support. This method must return the same |
| * value as {@code inverseCumulativeProbability(1)}. In other words, this |
| * method must return |
| * <p><code>inf {x in R | P(X <= x) = 1}</code>.</p> |
| * |
| * @return upper bound of the support ({@code Integer.MAX_VALUE} |
| * for positive infinity) |
| */ |
| int getSupportUpperBound(); |
| |
| /** |
| * Use this method to get information about whether the support is |
| * connected, i.e. whether all integers between the lower and upper bound of |
| * the support are included in the support. |
| * |
| * @return whether the support is connected or not |
| */ |
| boolean isSupportConnected(); |
| |
| /** |
| * Reseed the random generator used to generate samples. |
| * |
| * @param seed the new seed |
| * @since 3.0 |
| */ |
| void reseedRandomGenerator(long seed); |
| |
| /** |
| * Generate a random value sampled from this distribution. |
| * |
| * @return a random value |
| * @since 3.0 |
| */ |
| int sample(); |
| |
| /** |
| * Generate a random sample from the distribution. |
| * |
| * @param sampleSize the number of random values to generate |
| * @return an array representing the random sample |
| * @throws org.apache.commons.math3.exception.NotStrictlyPositiveException |
| * if {@code sampleSize} is not positive |
| * @since 3.0 |
| */ |
| int[] sample(int sampleSize); |
| } |