using System;

​

public class LSTMCell

{

    private readonly double[,] W_i;

    private readonly double[,] W_f;

    private readonly double[,] W_c;

    private readonly double[,] W_o;

    private readonly double[] b_i;

    private readonly double[] b_f;

    private readonly double[] b_c;

    private readonly double[] b_o;

​

    private const int HiddenStateSize = 1; // Assuming hidden state is a single value

    private const int InputSize = 1; // Assuming input is a single value

​

    public LSTMCell()

    {

        // Initialize weights and biases with 0.5

        W_i = InitializeMatrix(HiddenStateSize + InputSize, HiddenStateSize, 0.5);

        W_f = InitializeMatrix(HiddenStateSize + InputSize, HiddenStateSize, 0.5);

        W_c = InitializeMatrix(HiddenStateSize + InputSize, HiddenStateSize, HiddenStateSize, 0.5);

        W_o = InitializeMatrix(HiddenStateSize + InputSize, HiddenStateSize, HiddenStateSize, 0.5);

​

        b_i = InitializeArray(HiddenStateSize, 0.5);

        b_f = InitializeArray(HiddenStateSize, 0.5);

        b_c = InitializeArray(HiddenStateSize, 0.5);

        b_o = InitializeArray(HiddenStateSize, 0.5);

    }

​

    private double[,] InitializeMatrix(int rows, int cols, double value)

    {

        double[,] matrix = new double[rows, cols];

        for (int i = 0; i < rows; i++)

        {

            for (int j = 0; j < cols; j++)

            {

                matrix[i, j] = value;

            }

        }

        return matrix;

    }

     private double[,] InitializeMatrix(int rows, int colsOuter, int colsInner, double value)

    {

        double[,] matrix = new double[rows, colsInner];

        for (int i = 0; i < rows; i++)

        {

            for (int j = 0; j < colsInner; j++)

            {

                matrix[i, j] = value;

            }

        }

        return matrix;

    }

​

​

    private double[] InitializeArray(int size, double value)

    {

        double[] array = new double[size];

        for (int i = 0; i < size; i++)

        {

            array[i] = value;

        }

        return array;

    }

​

    private double Sigmoid(double x)

    {

        return 1 / (1 + Math.Exp(-x));

    }

​

    private double Tanh(double x)

    {

        return Math.Tanh(x);

    }

​

    public double Process(double input, double previousHiddenState, double previousCellState)

    {

        // Concatenate previous hidden state and input

        double[] concat = new double[] { previousHiddenState, input };

​

        // Input gate

        double i_t = Sigmoid(MatrixVectorMultiply(W_i, concat)[0] + b_i[0]);

​

        // Forget gate

        double f_t = Sigmoid(MatrixVectorMultiply(W_f, concat)[0] + b_f[0]);

​

        // Candidate cell state

        double c_tilda = Tanh(MatrixVectorMultiply(W_c, concat)[0] + b_c[0]);

​

        // Cell state

        double c_t = f_t * previousCellState + i_t * c_tilda;

​

        // Output gate

        double o_t = Sigmoid(MatrixVectorMultiply(W_o, concat)[0] + b_o[0]);

​

        // Hidden state

        double h_t = o_t * Tanh(c_t);

​

        return h_t;

    }

​

    private double[] MatrixVectorMultiply(double[,] matrix, double[] vector)

    {

        int rows = matrix.GetLength(0);

        int cols = matrix.GetLength(1);

        if (vector.Length != rows)

        {

            throw new ArgumentException("Matrix and vector dimensions are incompatible.");

        }

​

        double[] result = new double[cols];

        for (int j = 0; j < cols; j++)

        {

            double sum = 0;

            for (int i = 0; i < rows; i++)

            {

                sum += matrix[i, j] * vector[i];

            }

            result[j] = sum;

        }

        return result;

    }

    public static void Main(string[] args)

    {

        LSTMCell lstmCell = new LSTMCell();

        double input = 0.5;

        double previousHiddenState = 0.2;

        double previousCellState = 0.1;

​

        double newHiddenState = lstmCell.Process(input, previousHiddenState, previousCellState);

​

        Console.WriteLine($"Input: {input}");

        Console.WriteLine($"Previous Hidden State: {previousHiddenState}");

        Console.WriteLine($"Previous Cell State: {previousCellState}");

        Console.WriteLine($"New Hidden State: {newHiddenState}");

    }

}