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| /// ------------------------------------------------------ | |
| /// SwarmOps - Numeric and heuristic optimization for C# | |
| /// Copyright (C) 2003-2011 Magnus Erik Hvass Pedersen. | |
| /// Please see the file license.txt for license details. | |
| /// SwarmOps on the internet: http://www.Hvass-Labs.org/ | |
| /// ------------------------------------------------------ | |
| using System.Diagnostics; | |
| namespace SwarmOps.Optimizers.Parallel | |
| { | |
| /// <summary> | |
| /// Parallel version of MOL which computes the fitness of its agents | |
| /// in parallel. Assumes the fitness function is thread-safe. Should | |
| /// only be used with very time-consuming optimization problems otherwise | |
| /// basic MOL will execute faster because of less overhead. | |
| /// </summary> | |
| public class MOL : Optimizer | |
| { | |
| /// <summary> | |
| /// Construct the object. | |
| /// </summary> | |
| public MOL() | |
| : this(1) | |
| { | |
| } | |
| /// <summary> | |
| /// Construct the object. | |
| /// </summary> | |
| /// <param name="problem">Problem to optimize.</param> | |
| public MOL(Problem problem) | |
| : this(1, problem) | |
| { | |
| } | |
| /// <summary> | |
| /// Construct the object. | |
| /// </summary> | |
| /// <param name="numAgentsMultiple">Population size multiple, e.g. 4 ensures populations are sized 4, 8, 12, 16, ...</param> | |
| public MOL(int numAgentsMultiple) | |
| : base() | |
| { | |
| NumAgentsMultiple = numAgentsMultiple; | |
| } | |
| /// <summary> | |
| /// Construct the object. | |
| /// </summary> | |
| /// <param name="numAgentsMultiple">Population size multiple, e.g. 4 ensures populations are sized 4, 8, 12, 16, etc.</param> | |
| /// <param name="problem">Problem to optimize.</param> | |
| public MOL(int numAgentsMultiple, Problem problem) | |
| : base(problem) | |
| { | |
| NumAgentsMultiple = numAgentsMultiple; | |
| } | |
| /// <summary> | |
| /// Control parameters. | |
| /// </summary> | |
| public struct Parameters | |
| { | |
| /// <summary> | |
| /// Control parameters tuned for all benchmark problems in | |
| /// 5 dimensions and 10000 fitness evaluations in one optimization run. | |
| /// </summary> | |
| public static readonly double[] AllBenchmarks5Dim10000Iter = { 32.0, -0.3319, 5.91 }; | |
| /// <summary> | |
| /// Control parameters tuned for all benchmark problems in | |
| /// 30 dimensions and 60000 fitness evaluations in one optimization run. | |
| /// </summary> | |
| public static readonly double[] AllBenchmarks30Dim60000Iter = { 164.0, -0.4241, 2.7729 }; | |
| } | |
| /// <summary> | |
| /// Population size multiple, e.g. 4 ensures populations are sized 4, 8, 12, 16, etc. | |
| /// </summary> | |
| public int NumAgentsMultiple | |
| { | |
| get; | |
| protected set; | |
| } | |
| /// <summary> | |
| /// Get parameter, Number of agents, aka. swarm-size. | |
| /// </summary> | |
| /// <param name="parameters">Optimizer parameters.</param> | |
| public int GetNumAgents(double[] parameters) | |
| { | |
| int numAgents = (int)System.Math.Round(parameters[0], System.MidpointRounding.AwayFromZero); | |
| // Ensure numAgents falls on desired multiple. | |
| numAgents--; | |
| int mod = numAgents % NumAgentsMultiple; | |
| numAgents += NumAgentsMultiple - mod; | |
| return numAgents; | |
| } | |
| /// <summary> | |
| /// Get parameter, Omega. | |
| /// </summary> | |
| /// <param name="parameters">Optimizer parameters.</param> | |
| public double GetOmega(double[] parameters) | |
| { | |
| return parameters[1]; | |
| } | |
| /// <summary> | |
| /// Get parameter, Phi. | |
| /// </summary> | |
| /// <param name="parameters">Optimizer parameters.</param> | |
| public double GetPhi(double[] parameters) | |
| { | |
| return parameters[2]; | |
| } | |
| /// <summary> | |
| /// Name of the optimizer. | |
| /// </summary> | |
| public override string Name | |
| { | |
| get { return "MOL-Par" + NumAgentsMultiple; } | |
| } | |
| /// <summary> | |
| /// Number of control parameters for optimizer. | |
| /// </summary> | |
| public override int Dimensionality | |
| { | |
| get { return 3; } | |
| } | |
| string[] _parameterName = { "S", "omega", "phi" }; | |
| /// <summary> | |
| /// Control parameter names. | |
| /// </summary> | |
| public override string[] ParameterName | |
| { | |
| get { return _parameterName; } | |
| } | |
| /// <summary> | |
| /// Default control parameters. | |
| /// </summary> | |
| public override double[] DefaultParameters | |
| { | |
| get { return Parameters.AllBenchmarks30Dim60000Iter; } | |
| } | |
| static readonly double[] _lowerBound = { 1.0, -2.0, -4.0 }; | |
| /// <summary> | |
| /// Lower search-space boundary for control parameters. | |
| /// </summary> | |
| public override double[] LowerBound | |
| { | |
| get { return _lowerBound; } | |
| } | |
| static readonly double[] _upperBound = { 300.0, 2.0, 6.0 }; | |
| /// <summary> | |
| /// Upper search-space boundary for control parameters. | |
| /// </summary> | |
| public override double[] UpperBound | |
| { | |
| get { return _upperBound; } | |
| } | |
| /// <summary> | |
| /// Perform one optimization run and return the best found solution. | |
| /// </summary> | |
| /// <param name="parameters">Control parameters for the optimizer.</param> | |
| public override Result Optimize(double[] parameters) | |
| { | |
| Debug.Assert(parameters != null && parameters.Length == Dimensionality); | |
| // Signal beginning of optimization run. | |
| Problem.BeginOptimizationRun(); | |
| // Retrieve parameter specific to this optimizer. | |
| int numAgents = GetNumAgents(parameters); | |
| double omega = GetOmega(parameters); | |
| double phi = GetPhi(parameters); | |
| Debug.Assert(numAgents > 0); | |
| // Get problem-context. | |
| double[] lowerBound = Problem.LowerBound; | |
| double[] upperBound = Problem.UpperBound; | |
| double[] lowerInit = Problem.LowerInit; | |
| double[] upperInit = Problem.UpperInit; | |
| int n = Problem.Dimensionality; | |
| // Allocate agent positions, velocities, etc. | |
| double[][] agents = Tools.NewMatrix(numAgents, n); | |
| double[][] velocities = Tools.NewMatrix(numAgents, n); | |
| double[] fitness = new double[numAgents]; | |
| bool[] feasible = new bool[numAgents]; | |
| // Allocate velocity boundaries. | |
| double[] velocityLowerBound = new double[n]; | |
| double[] velocityUpperBound = new double[n]; | |
| // Best-found position and fitness. | |
| double[] g = new double[n]; | |
| double gFitness = Problem.MaxFitness; | |
| bool gFeasible = false; | |
| // Iteration variables. | |
| int i, j, k; | |
| // Initialize velocity boundaries. | |
| for (k = 0; k < n; k++) | |
| { | |
| double range = System.Math.Abs(upperBound[k] - lowerBound[k]); | |
| velocityLowerBound[k] = -range; | |
| velocityUpperBound[k] = range; | |
| } | |
| // Initialize all agents. (Non-parallel) | |
| for (j = 0; j < numAgents; j++) | |
| { | |
| // Refer to the j'th agent as x and v. | |
| double[] x = agents[j]; | |
| double[] v = velocities[j]; | |
| // Initialize velocity. | |
| Tools.InitializeUniform(ref v, velocityLowerBound, velocityUpperBound); | |
| // Initialize agent-position in search-space. | |
| Tools.InitializeUniform(ref x, lowerInit, upperInit); | |
| // Enforce constraints and evaluate feasibility. | |
| feasible[j] = Problem.EnforceConstraints(ref x); | |
| } | |
| // Compute fitness of initial position. (Parallel) | |
| // This counts as iterations below. | |
| System.Threading.Tasks.Parallel.For(0, numAgents, Globals.ParallelOptions, (jPar) => | |
| { | |
| fitness[jPar] = Problem.Fitness(agents[jPar], feasible[jPar]); | |
| }); | |
| // Update swarm's best known position. (Non-parallel) | |
| for (j = 0; j < numAgents; j++) | |
| { | |
| if (Tools.BetterFeasibleFitness(gFeasible, feasible[j], gFitness, fitness[j])) | |
| { | |
| agents[j].CopyTo(g, 0); | |
| gFitness = fitness[j]; | |
| gFeasible = feasible[j]; | |
| } | |
| // Trace fitness of best found solution. | |
| Trace(j, gFitness, gFeasible); | |
| } | |
| // Perform actual optimization iterations. | |
| for (i = numAgents; Problem.Continue(i, gFitness, gFeasible); ) | |
| { | |
| // Update agent positions. (Non-parallel) | |
| for (j = 0; j < numAgents; j++) | |
| { | |
| // Refer to the j'th agent as x and v. | |
| double[] x = agents[j]; | |
| double[] v = velocities[j]; | |
| // Pick random weight. | |
| double r = Globals.Random.Uniform(); | |
| // Update velocity. | |
| for (k = 0; k < n; k++) | |
| { | |
| v[k] = omega * v[k] + phi * r * (g[k] - x[k]); | |
| } | |
| // Fix denormalized floating-point values in velocity. | |
| Tools.Denormalize(ref v); | |
| // Enforce velocity bounds before updating position. | |
| Tools.Bound(ref v, velocityLowerBound, velocityUpperBound); | |
| // Update position. | |
| for (k = 0; k < n; k++) | |
| { | |
| x[k] = x[k] + v[k]; | |
| } | |
| } | |
| // Compute new fitness. (Parallel) | |
| System.Threading.Tasks.Parallel.For(0, numAgents, Globals.ParallelOptions, (jPar) => | |
| { | |
| // Enforce constraints and evaluate feasibility. | |
| feasible[jPar] = Problem.EnforceConstraints(ref agents[jPar]); | |
| // Compute fitness if feasibility is same or better. | |
| if (Tools.BetterFeasible(gFeasible, feasible[jPar])) | |
| { | |
| fitness[jPar] = Problem.Fitness(agents[jPar], gFitness, gFeasible, feasible[jPar]); | |
| } | |
| }); | |
| // Update swarm's best known position. (Non-parallel) | |
| for (j = 0; j < numAgents; j++, i++) | |
| { | |
| if (Tools.BetterFeasibleFitness(gFeasible, feasible[j], gFitness, fitness[j])) | |
| { | |
| agents[j].CopyTo(g, 0); | |
| gFitness = fitness[j]; | |
| gFeasible = feasible[j]; | |
| } | |
| // Trace fitness of best found solution. | |
| Trace(i, gFitness, gFeasible); | |
| } | |
| } | |
| // Signal end of optimization run. | |
| Problem.EndOptimizationRun(); | |
| // Return best-found solution and fitness. | |
| return new Result(g, gFitness, gFeasible, i); | |
| } | |
| } | |
| } |