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Universal Framework for Science and Engineering - Part 7: Virtual Reality at Once

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19 Nov 2010CPOL25 min read 187.5K   14.4K   212  
An article on framework applications to virtual reality
using System;
using System.Collections.Generic;
using System.Text;


using BaseTypes.Interfaces;

using DiagramUI.Interfaces;


using DataPerformer.Interfaces;


namespace DataPerformer
{
    /// <summary>
    /// Runge processor for solving ordinary differential equations system 
    /// </summary>
    public class RungeProcessor : DifferentialEquationProcessor
    {
        /// <summary>
        /// Coefficients of method
        /// </summary>
        static readonly double[] a = { 0.5, 0.5, 1.0, 1.0, 0.5 };


        /// <summary>
        /// Auxiliary buffer variable
        /// </summary>
        private double[] z;

        /// <summary>
        /// Auxiliary buffer variable
        /// </summary>
        private double[] w;

        /// <summary>
        /// Auxiliary buffer variable
        /// </summary>
        private double[] f;

        /// <summary>
        /// Auxiliary buffer variable
        /// </summary>
        private double[,] k;


        /// <summary>
        /// Singleton
        /// </summary>
        new static public readonly RungeProcessor Processor = new RungeProcessor();


        /// <summary>
        /// Default constructor
        /// </summary>
        protected RungeProcessor()
        {
        }

        /// <summary>
        /// Performs step of integration
        /// </summary>
        /// <param name="t0">Step start</param>
        /// <param name="t1">Step finish</param>
        public override void Step(double t0, double t1)
        {
            isBusy = true;
            if (Dim == 0)
            {
                return;
            }
            double dt = t1 - t0;
            int i = 0;
            foreach (IMeasurements m in equations)
            {
                IDifferentialEquationSolver s = m as IDifferentialEquationSolver;
                int n = s.GetVariablesCount();
                for (int j = 0; j < n; j++)
                {
                    w[i] = (double)m[j].Parameter();
                    f[i] = w[i];
                    ++i;
                }
                s.CopyVariablesToSolver(i - s.GetVariablesCount(), w);
            }
            double t = t0;
            timeProvider.Time = t;
            UpdateMeasurements();
            Reset();
            i = 0;
            foreach (IMeasurements m in equations)
            {
                IDifferentialEquationSolver s = m as IDifferentialEquationSolver;
                s.CalculateDerivations();
                for (int j = 0; j < s.GetVariablesCount(); j++)
                {
                    IDerivation der = m[j] as IDerivation;
                    z[i] = Measure.GetDouble(der.Derivation);
                    k[0, i] = z[i] * dt;
                    w[i] = f[i] + 0.5 * k[0, i];
                    ++i;
                }
                s.CopyVariablesToSolver(i - s.GetVariablesCount(), w);
            }
            t = t0 + 0.5 * dt;
            timeProvider.Time = t;
            UpdateMeasurements();
            Reset();
            i = 0;
            foreach (IMeasurements m in equations)
            {
                IDifferentialEquationSolver s = m as IDifferentialEquationSolver;
                s.CalculateDerivations();
                for (int j = 0; j < s.GetVariablesCount(); j++)
                {
                    IDerivation der = m[j] as IDerivation;
                    z[i] = Measure.GetDouble(der.Derivation);
                    k[1, i] = z[i] * dt;
                    w[i] = f[i] + 0.5 * k[1, i];
                    ++i;
                }
                s.CopyVariablesToSolver(i - s.GetVariablesCount(), w);
            }
            t = t0 + 0.5 * dt;
            timeProvider.Time = t;
            UpdateMeasurements();
            Reset();
            i = 0;
            foreach (IMeasurements m in equations)
            {
                IDifferentialEquationSolver s = m as IDifferentialEquationSolver;
                s.CalculateDerivations();
                for (int j = 0; j < s.GetVariablesCount(); j++)
                {
                    IDerivation der = m[j] as IDerivation;
                    z[i] = Measure.GetDouble(der.Derivation);
                    k[2, i] = z[i] * dt;
                    w[i] = f[i] + k[2, i];
                    ++i;
                }
                s.CopyVariablesToSolver(i - s.GetVariablesCount(), w);
            }
            t = t0 + dt;
            timeProvider.Time = t;
            UpdateMeasurements();
            Reset();
            i = 0;
            foreach (IMeasurements m in equations)
            {
                IDifferentialEquationSolver s = m as IDifferentialEquationSolver;
                s.CalculateDerivations();
                for (int j = 0; j < s.GetVariablesCount(); j++)
                {
                    IDerivation der = m[j] as IDerivation;
                    z[i] = Measure.GetDouble(der.Derivation);
                    k[3, i] = z[i] * dt;
                    ++i;
                }
            }
            i = 0;
            foreach (IMeasurements m in equations)
            {
                IDifferentialEquationSolver s = m as IDifferentialEquationSolver;
                for (int j = 0; j < s.GetVariablesCount(); j++)
                {
                    f[i] += (k[0, i] + 2 * k[1, i] + 2 * k[2, i] + k[3, i]) / 6;
                    ++i;
                }
                s.CopyVariablesToSolver(i - s.GetVariablesCount(), f);
            }
            i = 0;
            foreach (IMeasurements m in equations)
            {
                IDifferentialEquationSolver s = m as IDifferentialEquationSolver;
                for (int j = 0; j < s.GetVariablesCount(); j++)
                {
                    IMeasure measure = m[j];
                    IDerivation d = m[j] as IDerivation;
                    IMeasure der = d.Derivation;
                    if (!(der is IDistribution))
                    {
                        ++i;
                        continue;
                    }
                    IDistribution distr = der as IDistribution;
                    f[i] += distr.Integral;
                    distr.Reset();
                    ++i;
                }
                s.CopyVariablesToSolver(i - s.GetVariablesCount(), f);
            }
            isBusy = false;
        }

        /// <summary>
        /// Sets consumers
        /// </summary>
        /// <param name="collection">Consumers</param>
        /// <returns>Lists of parameters</returns>
        public override void Set(IComponentCollection collection)
        {
            base.Set(collection);
            UpdateDimension();
        }

        /// <summary>
        /// Updates dimension
        /// </summary>
        public override void UpdateDimension()
        {
            int n = Dim;
            w = new double[n];
            z = new double[n];
            f = new double[n];
            k = new double[4, n];
        }

  
        private int GetCount(IMeasurements m)
        {
            IDifferentialEquationSolver s = m as IDifferentialEquationSolver;
            return s.GetVariablesCount();
        }
    }
}

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License

This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)


Written By
Architect
Russian Federation Russian Federation
Ph. D. Petr Ivankov worked as scientific researcher at Russian Mission Control Centre since 1978 up to 2000. Now he is engaged by Aviation training simulators http://dinamika-avia.com/ . His additional interests are:

1) Noncommutative geometry

http://front.math.ucdavis.edu/author/P.Ivankov

2) Literary work (Russian only)

http://zhurnal.lib.ru/editors/3/3d_m/

3) Scientific articles
http://arxiv.org/find/all/1/au:+Ivankov_Petr/0/1/0/all/0/1

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