/*
Copyright (c) 2009 <a href="http://www.gutgames.com">James Craig</a>

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.*/

#region Usings
using System;
using System.Text;
using System.Xml.Serialization;
#endregion

namespace Utilities.Math
{
    [Serializable()]
    public class Matrix
    {
        #region Constructor
        /// <summary>
        /// Constructor
        /// </summary>
        /// <param name="Width">Width of the matrix</param>
        /// <param name="Height">Height of the matrix</param>
        public Matrix(int Width,int Height)
        {
            _Width = Width;
            _Height = Height;
            _Values = new double[Width, Height];
        }
        #endregion

        #region Public Properties
        /// <summary>
        /// Width of the matrix
        /// </summary>
        [XmlElement]
        public int Width
        {
            get { return _Width; }
            set { _Width = value; _Values = new double[Width, Height]; }
        }

        /// <summary>
        /// Height of the matrix
        /// </summary>
        [XmlElement]
        public int Height
        {
            get { return _Height; }
            set { _Height = value; _Values = new double[Width, Height]; }
        }
        /// <summary>
        /// Sets the values of the matrix
        /// </summary>
        /// <param name="X">X position</param>
        /// <param name="Y">Y position</param>
        /// <returns>the value at a point in the matrix</returns>
        public double this[int X, int Y]
        {
            get
            {
                if (X < _Width && X >= 0 && Y < _Height && Y >= 0)
                {
                    return _Values[X, Y];
                }
                throw new Exception("Index out of bounds");
            }

            set
            {
                if (X < _Width && X >= 0 && Y < _Height && Y >= 0)
                {
                    _Values[X, Y] = value;
                }
                throw new Exception("Index out of bounds");
            }
        }

        /// <summary>
        /// Values for the matrix
        /// </summary>
        [XmlElement]
        public double[,] Values
        {
            get { return _Values; }
            set { _Values = value; }
        }
        #endregion

        #region Private Variables
        private int _Width = 1;
        private int _Height = 1;
        private double[,] _Values = null;
        #endregion

        #region Operators
        public static bool operator ==(Matrix M1, Matrix M2)
        {
            if (M1.Width != M2.Width || M1.Height != M2.Height)
                return false;
            for (int x = 0; x <= M1.Width; ++x)
            {
                for (int y = 0; y <= M1.Height; ++y)
                {
                    if (M1[x, y] != M2[x, y])
                        return false;
                }
            }
            return true;
        }

        public static bool operator !=(Matrix M1, Matrix M2)
        {
            return !(M1 == M2);
        }

        public static Matrix operator +(Matrix M1, Matrix M2)
        {
            if (M1.Width != M2.Width || M1.Height != M2.Height)
                throw new ArgumentException("Both matrices must be the same dimensions.");
            Matrix TempMatrix = new Matrix(M1.Width, M1.Height);
            for (int x = 0; x < M1.Width; ++x)
            {
                for (int y = 0; y < M1.Height; ++y)
                {
                    TempMatrix[x, y] = M1[x, y] + M2[x, y];
                }
            }
            return TempMatrix;
        }

        public static Matrix operator -(Matrix M1, Matrix M2)
        {
            if (M1.Width != M2.Width || M1.Height != M2.Height)
                throw new ArgumentException("Both matrices must be the same dimensions.");
            Matrix TempMatrix = new Matrix(M1.Width, M1.Height);
            for (int x = 0; x < M1.Width; ++x)
            {
                for (int y = 0; y < M1.Height; ++y)
                {
                    TempMatrix[x, y] = M1[x, y] - M2[x, y];
                }
            }
            return TempMatrix;
        }

        public static Matrix operator -(Matrix M1)
        {
            Matrix TempMatrix = new Matrix(M1.Width, M1.Height);
            for (int x = 0; x < M1.Width; ++x)
            {
                for (int y = 0; y < M1.Height; ++y)
                {
                    TempMatrix[x, y] = -M1[x, y];
                }
            }
            return TempMatrix;
        }

        public static Matrix operator *(Matrix M1, Matrix M2)
        {
            if (M1.Width != M2.Width || M1.Height != M2.Height)
                throw new ArgumentException("Dimensions for the matrices are incorrect.");
            Matrix TempMatrix = new Matrix(M2.Width, M1.Height);

            for (int x = 0; x < M2.Width; ++x)
            {
                for (int y = 0; y < M1.Height; ++y)
                {
                    TempMatrix[x,y]=0.0;
                    for (int i = 0; i < M1.Width; ++i)
                    {
                        for (int j = 0; j < M2.Height; ++j)
                        {
                            TempMatrix[x, y] += (M1[i, y] * M2[x, j]);
                        }
                    }
                }
            }
            return TempMatrix;
        }

        public static Matrix operator *(Matrix M1,double D)
        {
            Matrix TempMatrix = new Matrix(M1.Width, M1.Height);
            for (int x = 0; x < M1.Width; ++x)
            {
                for (int y = 0; y < M1.Height; ++y)
                {
                    TempMatrix[x, y] = M1[x, y] * D;
                }
            }
            return TempMatrix;
        }

        public static Matrix operator *(double D, Matrix M1)
        {
            Matrix TempMatrix = new Matrix(M1.Width, M1.Height);
            for (int x = 0; x < M1.Width; ++x)
            {
                for (int y = 0; y < M1.Height; ++y)
                {
                    TempMatrix[x, y] = M1[x, y] * D;
                }
            }
            return TempMatrix;
        }

        public static Matrix operator /(Matrix M1, double D)
        {
            return M1 * (1 / D);
        }

        public static Matrix operator /(double D, Matrix M1)
        {
            return M1 * (1 / D);
        }
        #endregion

        #region Public Overridden Functions
        public override bool Equals(object obj)
        {
            if (obj is Matrix)
            {
                return this == (Matrix)obj;
            }
            return false;
        }

        public override int GetHashCode()
        {
            double Hash=0;
            for (int x = 0; x < Width; ++x)
            {
                for (int y = 0; y < Height; ++y)
                {
                    Hash += this[x, y];
                }
            }
            return (int)Hash;
        }

        public override string ToString()
        {
            StringBuilder Builder = new StringBuilder();
            string Seperator = "";
            Builder.Append("{");
            for (int x = 0; x < Width; ++x)
            {
                Builder.Append("{");
                for (int y = 0; y < Height; ++y)
                {
                    Builder.Append(Seperator + this[x, y]);
                    Seperator = ",";
                }
                Builder.Append("}" + System.Environment.NewLine);
            }
            Builder.Append("}");
            return Builder.ToString();
        }
        #endregion
    }
}

namespace Graphics
{
    class Dilate
    {
        public static float[,] Process(float[,] Data, int Width, int Height,int Iterations)
        {
            float[,] FinalValues = new float[Width, Height];
            for(int i=0;i<Iterations;++i)
            {
                for(int y=0;y<Height;++y)
                {
                    for (int x = 0; x < Width; ++x)
                    {
                        float Threshold = Data[x, y];
                        FinalValues[x, y] = Threshold;
                        for (int u = -1; u < 2; ++u)
                        {
                            for (int v = -1; v < 2; ++v)
                            {
                                int XIndex = (x + Width + u) % Width;
                                XIndex = GlobalFunctions.ClampValue(XIndex, Width, 0);
                                int YIndex = (y + Height + v) % Height;
                                YIndex = GlobalFunctions.ClampValue(YIndex, Height, 0);
                                if (Data[XIndex, YIndex] > Threshold)
                                {
                                    Threshold = Data[XIndex, YIndex];
                                    FinalValues[x, y] = Data[XIndex, YIndex];
                                }
                            }
                        }
                    }
                }
                Data=FinalValues;
                FinalValues = new float[Width, Height];
            }
            return Data;
        }
    }
}