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 * 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
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package org.apache.commons.math3.analysis.solvers;


/** The kinds of solutions that a {@link BracketedUnivariateSolver
 * (bracketed univariate real) root-finding algorithm} may accept as solutions.
 * This basically controls whether or not under-approximations and
 * over-approximations are allowed.
 *
 * 

If all solutions are accepted ({@link #ANY_SIDE}), then the solution * that the root-finding algorithm returns for a given root may be equal to the * actual root, but it may also be an approximation that is slightly smaller * or slightly larger than the actual root. Root-finding algorithms generally * only guarantee that the returned solution is within the requested * tolerances. In certain cases however, in particular for * {@link org.apache.commons.math3.ode.events.EventHandler state events} of * {@link org.apache.commons.math3.ode.ODEIntegrator ODE solvers}, it * may be necessary to guarantee that a solution is returned that lies on a * specific side the solution.

* * @see BracketedUnivariateSolver * @since 3.0 */ public enum AllowedSolution { /** There are no additional side restriction on the solutions for * root-finding. That is, both under-approximations and over-approximations * are allowed. So, if a function f(x) has a root at x = x0, then the * root-finding result s may be smaller than x0, equal to x0, or greater * than x0. */ ANY_SIDE, /** Only solutions that are less than or equal to the actual root are * acceptable as solutions for root-finding. In other words, * over-approximations are not allowed. So, if a function f(x) has a root * at x = x0, then the root-finding result s must satisfy s <= x0. */ LEFT_SIDE, /** Only solutions that are greater than or equal to the actual root are * acceptable as solutions for root-finding. In other words, * under-approximations are not allowed. So, if a function f(x) has a root * at x = x0, then the root-finding result s must satisfy s >= x0. */ RIGHT_SIDE, /** Only solutions for which values are less than or equal to zero are * acceptable as solutions for root-finding. So, if a function f(x) has * a root at x = x0, then the root-finding result s must satisfy f(s) <= 0. */ BELOW_SIDE, /** Only solutions for which values are greater than or equal to zero are * acceptable as solutions for root-finding. So, if a function f(x) has * a root at x = x0, then the root-finding result s must satisfy f(s) >= 0. */ ABOVE_SIDE; }




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