Example #1
0
        public LinearEquation(int agents)
        {
            if (agents < 2)
            {
                throw new System.ArgumentException("Too few agents");
            }

            int size = 1;

            for (int i = 0; i < agents; i++)
            {
                size += i + 2;
            }

            Size   = size;
            Agents = agents;

            double[,] matrix = new double[size, size];
            double[] vector = new double[size];

            int    row = 0;
            double combinationProbability = 2.0 / (Agents * (Agents - 1));

            for (int x = 0; x <= Agents; x++)
            {
                for (int y = 0; y <= Agents - x; y++)
                {
                    matrix[row, row] = 1;
                    if (!((x == 0 && y == 0) || (x == 0 && y == Agents) || (x == Agents && y == 0)))
                    {
                        Agent[] arr = GenerateArrayOfAgents(x, y);
                        int     index;
                        for (int ind1 = 0; ind1 < Agents - 1; ind1++)
                        {
                            for (int ind2 = ind1 + 1; ind2 < Agents; ind2++)
                            {
                                if (arr[ind1] == Agent.Y && arr[ind2] == Agent.U)
                                {
                                    index = TranslateCoordinates(new Point(x + 1, y));
                                    matrix[row, index] -= combinationProbability;
                                }
                                else if (arr[ind1] == Agent.Y && arr[ind2] == Agent.N)
                                {
                                    index = TranslateCoordinates(new Point(x - 1, y - 1));
                                    matrix[row, index] -= combinationProbability;
                                }
                                else if (arr[ind1] == Agent.N && arr[ind2] == Agent.U)
                                {
                                    index = TranslateCoordinates(new Point(x, y + 1));
                                    matrix[row, index] -= combinationProbability;
                                }
                                else
                                {
                                    index = TranslateCoordinates(new Point(x, y));
                                    matrix[row, index] -= combinationProbability;
                                }
                            }
                        }
                    }
                    else if (x == Agents && y == 0)
                    {
                        vector[row] = 1;
                    }

                    row++;
                }
            }

            Matrix = new MyMatrix(matrix);
            Vector = new MyVector(vector);
        }