using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using MathNet.Numerics.LinearAlgebra;

namespace MatrixCalculator
{
    static class MatrixHelper
    {
        public static bool Equal(Matrix<double> a, Matrix<double> b)
        {
            if (a.RowCount != b.RowCount || a.ColumnCount != b.ColumnCount) return false;

            for (int i = 0; i < a.RowCount; i++)
                for (int j = 0; j < a.ColumnCount; j++)
                    if (a[i, j] != b[i, j]) return false;

            return true;
        }

        public static Matrix<double> Power(Matrix<double> mat, int power)
        {
            // Solution
            Matrix<double> sol = Matrix<double>.Build.DenseIdentity(mat.RowCount, mat.ColumnCount);

            if (power < 0) {
                mat = mat.Inverse();
                power *= -1;
            }

            // Now raise to power binary
            for (int i = 0; (1 << i) <= power; i++)
            {
                if ((power & (1 << i)) != 0) sol = (sol * mat);
                mat = (mat * mat);
            }

            // Done
            return sol;
        }

        public static double Max(Matrix<double> mat)
        {
            double max = double.MinValue;

            for (int i = 0; i < mat.RowCount; i++)
                for (int j = 0; j < mat.ColumnCount; j++)
                    max = Math.Max(mat[i, j], max);

            return max;
        }

        public static double Min(Matrix<double> mat)
        {
            double min = double.MaxValue;

            for (int i = 0; i < mat.RowCount; i++)
                for (int j = 0; j < mat.ColumnCount; j++)
                    min = Math.Min(mat[i, j], min);

            return min;
        }
    }
}