[C#/WINFORM] 탈출 시간 다항식 프랙탈(Escape Time Polynomial Fractal) 그리기

■ 탈출 시간 다항식 프랙탈(Escape Time Polynomial Fractal)을 그리는 방법을 보여준다.

▶ GraphicExtension.cs


using System;
using System.Drawing;
using System.Drawing.Imaging;
using System.IO;

namespace TestProject
{
    /// <summary>
    /// 그래픽 확장
    /// </summary>
    public static class GraphicExtension
    {
        //////////////////////////////////////////////////////////////////////////////////////////////////// Method
        ////////////////////////////////////////////////////////////////////////////////////////// Static
        //////////////////////////////////////////////////////////////////////////////// Public

        #region 대시 상자 그리기 - DrawDashedBox(graphics, color1, color2, thickness, dashSize, point1, point2)

        /// <summary>
        /// 대시 상자 그리기
        /// </summary>
        /// <param name="graphics">그래픽스</param>
        /// <param name="color1">색상 1</param>
        /// <param name="color2">색상 2</param>
        /// <param name="thickness">두께</param>
        /// <param name="dashSize">대시 크기</param>
        /// <param name="point1">포인트 1</param>
        /// <param name="point2">포인트 2</param>
        public static void DrawDashedBox(this Graphics graphics, Color color1, Color color2, float thickness, float dashSize, Point point1, Point point2)
        {
            Rectangle rectangle = point1.ToRectangle(point2);

            using(Pen pen = new Pen(color1, thickness))
            {
                graphics.DrawRectangle(pen, rectangle);

                pen.DashPattern = new float[] { dashSize, dashSize };
                pen.Color       = color2;

                graphics.DrawRectangle(pen, rectangle);
            }
        }

        #endregion
        #region 사각형 구하기 - ToRectangle(point1, point2)

        /// <summary>
        /// 사각형 구하기
        /// </summary>
        /// <param name="point1">포인트 1</param>
        /// <param name="point2">포인트 2</param>
        /// <returns>사각형</returns>
        public static Rectangle ToRectangle(this Point point1, Point point2)
        {
            int x = Math.Min(point1.X, point2.X);
            int y = Math.Min(point1.Y, point2.Y);

            int width  = Math.Abs(point1.X - point2.X);
            int height = Math.Abs(point1.Y - point2.Y);

            return new Rectangle(x, y, width, height);
        }

        #endregion
        #region 사각형 구하기 - ToRectangle(point1, point2)

        /// <summary>
        /// 사각형 구하기
        /// </summary>
        /// <param name="point1">포인트 1</param>
        /// <param name="point2">포인트 2</param>
        /// <returns>사각형</returns>
        public static RectangleF ToRectangle(this PointF point1, PointF point2)
        {
            float x = Math.Min(point1.X, point2.X);
            float y = Math.Min(point1.Y, point2.Y);

            float width  = Math.Abs(point1.X - point2.X);
            float height = Math.Abs(point1.Y - point2.Y);

            return new RectangleF(x, y, width, height);
        }

        #endregion
        #region 이미지 저장하기 - SaveImage(image, filePath)

        /// <summary>
        /// 이미지 저장하기
        /// </summary>
        /// <param name="image">이미지</param>
        /// <param name="filePath">파일 경로</param>
        public static void SaveImage(this Image image, string filePath)
        {
            string fileExtension = Path.GetExtension(filePath);

            switch(fileExtension.ToLower())
            {
                case ".bmp"  : image.Save(filePath, ImageFormat.Bmp ); break;
                case ".exif" : image.Save(filePath, ImageFormat.Exif); break;
                case ".gif"  : image.Save(filePath, ImageFormat.Gif ); break;
                case ".jpg"  :
                case ".jpeg" : image.Save(filePath, ImageFormat.Jpeg); break;
                case ".png"  : image.Save(filePath, ImageFormat.Png ); break;
                case ".tif"  :
                case ".tiff" : image.Save(filePath, ImageFormat.Tiff); break;
                default      : throw new NotSupportedException($"알 수 없는 파일 확장자 {fileExtension}");
            }
        }

        #endregion
    }
}

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using System;

using System.Drawing;

using System.Drawing.Imaging;

using System.IO;

namespace TestProject

{

/// <summary>

/// 그래픽 확장

/// </summary>

public static class GraphicExtension

{

//////////////////////////////////////////////////////////////////////////////////////////////////// Method

////////////////////////////////////////////////////////////////////////////////////////// Static

//////////////////////////////////////////////////////////////////////////////// Public

#region 대시 상자 그리기 - DrawDashedBox(graphics, color1, color2, thickness, dashSize, point1, point2)

/// <summary>

/// 대시 상자 그리기

/// </summary>

/// <param name="graphics">그래픽스</param>

/// <param name="color1">색상 1</param>

/// <param name="color2">색상 2</param>

/// <param name="thickness">두께</param>

/// <param name="dashSize">대시 크기</param>

/// <param name="point1">포인트 1</param>

/// <param name="point2">포인트 2</param>

public static void DrawDashedBox(this Graphics graphics, Color color1, Color color2, float thickness, float dashSize, Point point1, Point point2)

{

Rectangle rectangle = point1.ToRectangle(point2);

using(Pen pen = new Pen(color1, thickness))

{

graphics.DrawRectangle(pen, rectangle);

pen.DashPattern = new float[] { dashSize, dashSize };

pen.Color = color2;

graphics.DrawRectangle(pen, rectangle);

}

#endregion

#region 사각형 구하기 - ToRectangle(point1, point2)

/// <summary>

/// 사각형 구하기

/// </summary>

/// <param name="point1">포인트 1</param>

/// <param name="point2">포인트 2</param>

/// <returns>사각형</returns>

public static Rectangle ToRectangle(this Point point1, Point point2)

{

int x = Math.Min(point1.X, point2.X);

int y = Math.Min(point1.Y, point2.Y);

int width = Math.Abs(point1.X - point2.X);

int height = Math.Abs(point1.Y - point2.Y);

return new Rectangle(x, y, width, height);

}

#endregion

#region 사각형 구하기 - ToRectangle(point1, point2)

/// <summary>

/// 사각형 구하기

/// </summary>

/// <param name="point1">포인트 1</param>

/// <param name="point2">포인트 2</param>

/// <returns>사각형</returns>

public static RectangleF ToRectangle(this PointF point1, PointF point2)

{

float x = Math.Min(point1.X, point2.X);

float y = Math.Min(point1.Y, point2.Y);

float width = Math.Abs(point1.X - point2.X);

float height = Math.Abs(point1.Y - point2.Y);

return new RectangleF(x, y, width, height);

}

#endregion

#region 이미지 저장하기 - SaveImage(image, filePath)

/// <summary>

/// 이미지 저장하기

/// </summary>

/// <param name="image">이미지</param>

/// <param name="filePath">파일 경로</param>

public static void SaveImage(this Image image, string filePath)

{

string fileExtension = Path.GetExtension(filePath);

switch(fileExtension.ToLower())

{

case ".bmp" : image.Save(filePath, ImageFormat.Bmp ); break;

case ".exif" : image.Save(filePath, ImageFormat.Exif); break;

case ".gif" : image.Save(filePath, ImageFormat.Gif ); break;

case ".jpg" :

case ".jpeg" : image.Save(filePath, ImageFormat.Jpeg); break;

case ".png" : image.Save(filePath, ImageFormat.Png ); break;

case ".tif" :

case ".tiff" : image.Save(filePath, ImageFormat.Tiff); break;

default : throw new NotSupportedException($"알 수 없는 파일 확장자 {fileExtension}");

}

#endregion

}

▶ BitmapHelper.cs


using System;
using System.Drawing;
using System.Drawing.Imaging;
using System.Runtime.InteropServices;

namespace TestProject
{
    /// <summary>
    /// 비트맵 헬퍼
    /// </summary>
    public class BitmapHelper
    {
        //////////////////////////////////////////////////////////////////////////////////////////////////// Enumeration
        ////////////////////////////////////////////////////////////////////////////////////////// Public

        #region 워프 연산 - WarpOperation

        /// <summary>
        /// 워프 연산
        /// </summary>
        public enum WarpOperation
        {
            /// <summary>
            /// Identity
            /// </summary>
            Identity,

            /// <summary>
            /// FishEye
            /// </summary>
            FishEye,

            /// <summary>
            /// Twist
            /// </summary>
            Twist,

            /// <summary>
            /// Wave
            /// </summary>
            Wave,

            /// <summary>
            /// SmallTop
            /// </summary>
            SmallTop,

            /// <summary>
            /// Wiggles
            /// </summary>
            Wiggles,

            /// <summary>
            /// DoubleWave
            /// </summary>
            DoubleWave
        }

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Class
        ////////////////////////////////////////////////////////////////////////////////////////// Public

        #region 필터 - Filter

        /// <summary>
        /// 필터
        /// </summary>
        public class Filter
        {
            //////////////////////////////////////////////////////////////////////////////////////////////////// Field
            ////////////////////////////////////////////////////////////////////////////////////////// Public

            #region Field

            /// <summary>
            /// 커널 배열
            /// </summary>
            public float[,] KernelArray;

            /// <summary>
            /// 가중치
            /// </summary>
            public float Weight;

            /// <summary>
            /// 오프셋
            /// </summary>
            public float Offset;

            #endregion

            //////////////////////////////////////////////////////////////////////////////////////////////////// Method
            ////////////////////////////////////////////////////////////////////////////////////////// Public

            #region 정규화하기 - Normalize()

            /// <summary>
            /// 정규화하기
            /// </summary>
            public void Normalize()
            {
                Weight = 0;

                for(int row = 0; row <= KernelArray.GetUpperBound(0); row++)
                {
                    for(int column = 0; column <= KernelArray.GetUpperBound(1); column++)
                    {
                        Weight += KernelArray[row, column];
                    }
                }
            }

            #endregion
            #region 총합이 0이 되는 중앙 커널 상관계수 설정하기 - SetCenterKernelCoefficientForZeroTotal()

            /// <summary>
            /// 총합이 0이 되는 중앙 커널 상관계수 설정하기
            /// </summary>
            public void SetCenterKernelCoefficientForZeroTotal()
            {
                float total = 0;

                int rowCount    = KernelArray.GetUpperBound(0);
                int columnCount = KernelArray.GetUpperBound(1);

                for(int row = 0; row <= rowCount; row++)
                {
                    for(int column = 0; column <= columnCount; column++)
                    {
                        total += KernelArray[row, column];
                    }
                }

                int middleRow    = (int)(KernelArray.GetUpperBound(0) / 2);
                int middleColumn = (int)(KernelArray.GetUpperBound(1) / 2);

                total -= KernelArray[middleRow, middleColumn];

                KernelArray[middleRow, middleColumn] = -total;
            }

            #endregion
        }

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Field
        ////////////////////////////////////////////////////////////////////////////////////////// Public

        #region Field

        /// <summary>
        /// 이미지 바이트 배열
        /// </summary>
        public byte[] ImageByteArray;

        /// <summary>
        /// 행 크기 바이트 카운트
        /// </summary>
        public int RowSizeByteCount;

        /// <summary>
        /// 픽셀 데이터 크기
        /// </summary>
        public const int PixelDataSize = 32;

        /// <summary>
        /// 비트맵
        /// </summary>
        public Bitmap Bitmap;

        #endregion

        ////////////////////////////////////////////////////////////////////////////////////////// Private

        #region Field

        /// <summary>
        /// 잠금 여부
        /// </summary>
        private bool isLocked = false;

        /// <summary>
        /// 비트맵 데이터
        /// </summary>
        private BitmapData bitmapData;

        #endregion
        #region 너비 - Width

        /// <summary>
        /// 너비
        /// </summary>
        public int Width
        {
            get
            {
                return Bitmap.Width;
            }
        }

        #endregion
        #region 높이 - Height

        /// <summary>
        /// 높이
        /// </summary>
        public int Height
        {
            get
            {
                return Bitmap.Height;
            }
        }

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Property
        ////////////////////////////////////////////////////////////////////////////////////////// Static
        //////////////////////////////////////////////////////////////////////////////// Public

        #region 엠보싱 필터 - EmbossingFilter

        /// <summary>
        /// 엠보싱 필터
        /// </summary>
        public static Filter EmbossingFilter
        {
            get
            {
                return new Filter()
                {
                    Weight      = 1,
                    Offset      = 127,
                    KernelArray = new float[,]
                    {
                        { -1, 0, 0 },
                        {  0, 0, 0 },
                        {  0, 0, 1 }
                    }
                };
            }
        }

        #endregion
        #region 엠보싱 필터 2 - EmbossingFilter2

        /// <summary>
        /// 엠보싱 필터 2
        /// </summary>
        public static Filter EmbossingFilter2
        {
            get
            {
                return new Filter()
                {
                    Weight      = 1,
                    Offset      = 127,
                    KernelArray = new float[,]
                    {
                        { 2,  0,  0 },
                        { 0, -1,  0 },
                        { 0,  0, -1 }
                    }
                };
            }
        }

        #endregion
        #region 5X5 가우시안 블러 필터 - BlurFilter5X5Gaussian

        /// <summary>
        /// 5X5 가우시안 블러 필터
        /// </summary>
        public static Filter BlurFilter5X5Gaussian
        {
            get
            {
                Filter filter = new Filter()
                {
                    Offset      = 0,
                    KernelArray = new float[,]
                    {
                        { 1,  4,  7,  4, 1 },
                        { 4, 16, 26, 16, 4 },
                        { 7, 26, 41, 26, 7 },
                        { 4, 16, 26, 16, 4 },
                        { 1,  4,  7,  4, 1 }
                    }
                };

                filter.Normalize();

                return filter;
            }
        }

        #endregion
        #region 5X5 평균 블러 필터 - BlurFilter5X5Mean

        /// <summary>
        /// 5X5 평균 블러 필터
        /// </summary>
        public static Filter BlurFilter5X5Mean
        {
            get
            {
                Filter filter = new Filter()
                {
                    Offset      = 0,
                    KernelArray = new float[,]
                    {
                        { 1, 1, 1, 1, 1 },
                        { 1, 1, 1, 1, 1 },
                        { 1, 1, 1, 1, 1 },
                        { 1, 1, 1, 1, 1 },
                        { 1, 1, 1, 1, 1 }
                    }
                };

                filter.Normalize();

                return filter;
            }
        }

        #endregion
        #region 좌상단→우하단 모서리 탐지 필터 - EdgeDetectionFilterULtoLR

        /// <summary>
        /// 좌상단→우하단 모서리 탐지 필터
        /// </summary>
        public static Filter EdgeDetectionFilterULtoLR
        {
            get
            {
                return new Filter()
                {
                    Weight      = 1,
                    Offset      = 0,
                    KernelArray = new float[,]
                    {
                        { -5, 0, 0 },
                        {  0, 0, 0 },
                        {  0, 0, 5 }
                    }
                };
            }
        }

        #endregion
        #region 상단→하단 모서리 탐지 필터 - EdgeDetectionFilterTopToBottom

        /// <summary>
        /// 상단→하단 모서리 탐지 필터
        /// </summary>
        public static Filter EdgeDetectionFilterTopToBottom
        {
            get
            {
                return new Filter()
                {
                    Weight      = 1,
                    Offset      = 0,
                    KernelArray = new float[,]
                    {
                        { -1, -1, -1 },
                        {  0,  0,  0 },
                        {  1,  1,  1 }
                    }
                };
            }
        }

        #endregion
        #region 좌측→우측 모서리 탐지 필터 - EdgeDetectionFilterLeftToRight

        /// <summary>
        /// 좌측→우측 모서리 탐지 필터
        /// </summary>
        public static Filter EdgeDetectionFilterLeftToRight
        {
            get
            {
                return new Filter()
                {
                    Weight      = 1,
                    Offset      = 0,
                    KernelArray = new float[,]
                    {
                        { -1, 0, 1 },
                        { -1, 0, 1 },
                        { -1, 0, 1 }
                    }
                };
            }
        }

        #endregion
        #region 3X3 하이 패스 필터 - HighPassFilter3X3

        /// <summary>
        /// 3X3 하이 패스 필터
        /// </summary>
        public static Filter HighPassFilter3X3
        {
            get
            {
                return new Filter()
                {
                    Weight      = 16,
                    Offset      = 127,
                    KernelArray = new float[,]
                    {
                        { -1, -2, -1 },
                        { -2, 12, -2 },
                        { -1, -2, -1 }
                    }
                };
            }
        }

        #endregion
        #region 5X5 하이 패스 필터 - HighPassFilter5X5

        /// <summary>
        /// 5X5 하이 패스 필터
        /// </summary>
        public static Filter HighPassFilter5X5
        {
            get
            {
                Filter filter = new Filter()
                {
                    Offset      = 127,
                    KernelArray = new float[,]
                    {
                        { -1,  -4,  -7,  -4, -1 },
                        { -4, -16, -26, -16, -4 },
                        { -7, -26, -41, -26, -7 },
                        { -4, -16, -26, -16, -4 },
                        { -1,  -4,  -7,  -4, -1 }
                    }
                };

                filter.Normalize();

                filter.Weight = -filter.Weight;

                filter.SetCenterKernelCoefficientForZeroTotal();

                return filter;
            }
        }

        #endregion

        ////////////////////////////////////////////////////////////////////////////////////////// Public

        #region 잠금 여부 - IsLocked

        /// <summary>
        /// 잠금 여부
        /// </summary>
        public bool IsLocked
        {
            get
            {
                return this.isLocked;
            }
        }

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Constructor
        ////////////////////////////////////////////////////////////////////////////////////////// Public

        #region 생성자 - BitmapHelper(bitmap)

        /// <summary>
        /// 생성자
        /// </summary>
        /// <param name="bitmap">비트맵</param>
        public BitmapHelper(Bitmap bitmap)
        {
            Bitmap = bitmap;
        }

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Method
        ////////////////////////////////////////////////////////////////////////////////////////// Static
        //////////////////////////////////////////////////////////////////////////////// Private

        #region 픽셀 매핑하기 - MapPixel(warpOperation, middleX, middleY, maximumR, targetX, targetY, sourceX, sourceY)

        /// <summary>
        /// 픽셀 매핑하기
        /// </summary>
        /// <param name="warpOperation">워프 연산</param>
        /// <param name="middleX">중간 X</param>
        /// <param name="middleY">중간 Y</param>
        /// <param name="maximumR">최대 R</param>
        /// <param name="targetX">타겟 X</param>
        /// <param name="targetY">타겟 Y</param>
        /// <param name="sourceX">소스 X</param>
        /// <param name="sourceY">소스 Y</param>
        /// <remarks>출력 픽셀(targetX, targetY)을 다시 입력 픽셀(sourceX, sourceY)에 매핑한다.</remarks>
        private static void MapPixel(WarpOperation warpOperation, double middleX, double middleY, double maximumR, int targetX, int targetY, out double sourceX, out double sourceY)
        {
            const double PI_OVER_2 = Math.PI / 2.0;
            const double K         = 100.0;
            const double OFFSET    = -PI_OVER_2;

            double deltaX;
            double deltaY;
            double r1;
            double r2;

            switch(warpOperation)
            {
                case WarpOperation.Identity :

                    sourceX = targetX;
                    sourceY = targetY;

                    break;

                case WarpOperation.FishEye :

                    deltaX = targetX - middleX;
                    deltaY = targetY - middleY;

                    r1 = Math.Sqrt(deltaX * deltaX + deltaY * deltaY);

                    if(r1 == 0)
                    {
                        sourceX = middleX;
                        sourceY = middleY;
                    }
                    else
                    {
                        r2 = maximumR / 2 * (1 / (1 - r1 / maximumR) - 1);

                        sourceX = deltaX * r2 / r1 + middleX;
                        sourceY = deltaY * r2 / r1 + middleY;
                    }

                    break;

                case WarpOperation.Twist :

                    deltaX = targetX - middleX;
                    deltaY = targetY - middleY;

                    r1 = Math.Sqrt(deltaX * deltaX + deltaY * deltaY);

                    if(r1 == 0)
                    {
                        sourceX = 0;
                        sourceY = 0;
                    }
                    else
                    {
                        double theta = Math.Atan2(deltaX, deltaY) - r1 / K - OFFSET;

                        sourceX = r1 * Math.Cos(theta);
                        sourceY = r1 * Math.Sin(theta);
                    }

                    sourceX += middleX;
                    sourceY += middleY;

                    break;

                case WarpOperation.Wave :

                    sourceX = targetX;
                    sourceY = targetY - 10 * (Math.Sin(targetX / 50.0 * Math.PI) + 1) + 5;

                    break;

                case WarpOperation.SmallTop :

                    deltaX = middleX - targetX;
                    deltaX = deltaX * middleY * 2 / (targetY + 1);

                    sourceX = middleX - deltaX;
                    sourceY = targetY;

                    break;

                case WarpOperation.Wiggles :

                    deltaX = middleX - targetX;
                    deltaX = deltaX * (Math.Sin(targetY / 50.0 * Math.PI) / 2 + 1.5);

                    sourceX = middleX - deltaX;
                    sourceY = targetY;

                    break;

                case WarpOperation.DoubleWave :

                    sourceX = targetX - 10 * (Math.Sin(targetY / 50.0 * Math.PI) + 1) + 5;
                    sourceY = targetY - 10 * (Math.Sin(targetX / 50.0 * Math.PI) + 1) + 5;

                    break;

                default : // 수직/수평 반전

                    sourceX = 2 * middleX - targetX;
                    sourceY = 2 * middleY - targetY;

                    break;
            }
        }

        #endregion
        #region 비트맵 워프하기 - WarpBitmap(sourceHelper, targetHelper, warpOperation)

        /// <summary>
        /// 비트맵 워프하기
        /// </summary>
        /// <param name="sourceHelper">소스 비트맵 헬퍼</param>
        /// <param name="targetHelper">타겟 비트맵 헬퍼</param>
        /// <param name="warpOperation">워프 연산</param>
        private static void WarpBitmap(BitmapHelper sourceHelper, BitmapHelper targetHelper, WarpOperation warpOperation)
        {
            double middleX  = targetHelper.Width  / 2.0;
            double middleY  = targetHelper.Height / 2.0;
            double maximumR = targetHelper.Width  * 0.75;

            int maximumIndexX = sourceHelper.Width  - 2;
            int maximumIndexY = sourceHelper.Height - 2;

            for(int y1 = 0; y1 < targetHelper.Height; y1++)
            {
                for (int x1 = 0; x1 < targetHelper.Width; x1++)
                {
                    MapPixel(warpOperation, middleX, middleY, maximumR, x1, y1, out double x0, out double y0);

                    int indexX0 = (int)x0;
                    int indexY0 = (int)y0;

                    if((indexX0 < 0) || (indexX0 > maximumIndexX) || (indexY0 < 0) || (indexY0 > maximumIndexY))
                    {
                        targetHelper.SetPixel(x1, y1, 255, 255, 255, 255);
                    }
                    else
                    {
                        double deltaX0 = x0 - indexX0;
                        double deltaY0 = y0 - indexY0;
                        double deltaX1 = 1 - deltaX0;
                        double deltaY1 = 1 - deltaY0;

                        sourceHelper.GetPixel(indexX0    , indexY0    , out byte r00, out byte g00, out byte b00, out byte a00);
                        sourceHelper.GetPixel(indexX0    , indexY0 + 1, out byte r01, out byte g01, out byte b01, out byte a01);
                        sourceHelper.GetPixel(indexX0 + 1, indexY0    , out byte r10, out byte g10, out byte b10, out byte a10);
                        sourceHelper.GetPixel(indexX0 + 1, indexY0 + 1, out byte r11, out byte g11, out byte b11, out byte a11);

                        int r = (int)(r00 * deltaX1 * deltaY1 + r01 * deltaX1 * deltaY0 + r10 * deltaX0 * deltaY1 + r11 * deltaX0 * deltaY0);
                        int g = (int)(g00 * deltaX1 * deltaY1 + g01 * deltaX1 * deltaY0 + g10 * deltaX0 * deltaY1 + g11 * deltaX0 * deltaY0);
                        int b = (int)(b00 * deltaX1 * deltaY1 + b01 * deltaX1 * deltaY0 + b10 * deltaX0 * deltaY1 + b11 * deltaX0 * deltaY0);
                        int a = (int)(a00 * deltaX1 * deltaY1 + a01 * deltaX1 * deltaY0 + a10 * deltaX0 * deltaY1 + a11 * deltaX0 * deltaY0);

                        targetHelper.SetPixel(x1, y1, (byte)r, (byte)g, (byte)b, (byte)a);
                    }
                }
            }
        }

        #endregion

        ////////////////////////////////////////////////////////////////////////////////////////// Instance
        //////////////////////////////////////////////////////////////////////////////// Public

        #region 비트맵 잠금 설정하기 - LockBitmap()

        /// <summary>
        /// 비트맵 잠금 설정하기
        /// </summary>
        public void LockBitmap()
        {
            if(IsLocked)
            {
                return;
            }

            Rectangle boundRectangle = new Rectangle
            (
                0,
                0,
                Bitmap.Width,
                Bitmap.Height
            );

            this.bitmapData = Bitmap.LockBits
            (
                boundRectangle,
                ImageLockMode.ReadWrite,
                PixelFormat.Format32bppArgb
            );

            RowSizeByteCount = this.bitmapData.Stride;

            int totalSize = this.bitmapData.Stride * this.bitmapData.Height;

            ImageByteArray = new byte[totalSize];

            Marshal.Copy(this.bitmapData.Scan0, ImageByteArray, 0, totalSize);

            this.isLocked = true;
        }

        #endregion
        #region 비트맵 잠금 해제하기 - UnlockBitmap()

        /// <summary>
        /// 비트맵 잠금 해제하기
        /// </summary>
        public void UnlockBitmap()
        {
            if(!IsLocked)
            {
                return;
            }

            int totalSize = this.bitmapData.Stride * this.bitmapData.Height;

            Marshal.Copy(ImageByteArray, 0, this.bitmapData.Scan0, totalSize);

            Bitmap.UnlockBits(this.bitmapData);

            ImageByteArray = null;

            this.bitmapData = null;

            this.isLocked = false;
        }

        #endregion

        #region 픽셀 설정하기 - SetPixel(x, y, red, green, blue, alpha)

        /// <summary>
        /// 픽셀 설정하기
        /// </summary>
        /// <param name="x">X</param>
        /// <param name="y">Y</param>
        /// <param name="red">적색 채널</param>
        /// <param name="green">녹색 채널</param>
        /// <param name="blue">청색 채널</param>
        /// <param name="alpha">알파 채널</param>
        public void SetPixel(int x, int y, byte red, byte green, byte blue, byte alpha)
        {
            int i = y * this.bitmapData.Stride + x * 4;

            ImageByteArray[i++] = blue;
            ImageByteArray[i++] = green;
            ImageByteArray[i++] = red;
            ImageByteArray[i  ] = alpha;
        }

        #endregion
        #region 픽셀 구하기 - GetPixel(x, y, red, green, blue, alpha)

        /// <summary>
        /// 픽셀 구하기
        /// </summary>
        /// <param name="x">X</param>
        /// <param name="y">Y</param>
        /// <param name="red">적색 채널</param>
        /// <param name="green">녹색 채널</param>
        /// <param name="blue">청색 채널</param>
        /// <param name="alpha">알파 채널</param>
        public void GetPixel(int x, int y, out byte red, out byte green, out byte blue, out byte alpha)
        {
            int i = y * this.bitmapData.Stride + x * 4;

            blue  = ImageByteArray[i++];
            green = ImageByteArray[i++];
            red   = ImageByteArray[i++];
            alpha = ImageByteArray[i  ];
        }

        #endregion

        #region 알파 채널 설정하기 - SetAlpha(x, y, alpha)

        /// <summary>
        /// 알파 채널 설정하기
        /// </summary>
        /// <param name="x">X</param>
        /// <param name="y">Y</param>
        /// <param name="alpha">알파 채널</param>
        public void SetAlpha(int x, int y, byte alpha)
        {
            int i = y * this.bitmapData.Stride + x * 4;

            ImageByteArray[i + 3] = alpha;
        }

        #endregion
        #region 알파 채널 구하기 - GetAlpha(x, y)

        /// <summary>
        /// 알파 채널 구하기
        /// </summary>
        /// <param name="x">X</param>
        /// <param name="y">Y</param>
        /// <returns>알파 채널</returns>
        public byte GetAlpha(int x, int y)
        {
            int i = y * this.bitmapData.Stride + x * 4;

            return ImageByteArray[i + 3];
        }

        #endregion
        #region 녹색 채널 설정하기 - SetGreen(x, y, green)

        /// <summary>
        /// 녹색 채널 설정하기
        /// </summary>
        /// <param name="x">X</param>
        /// <param name="y">Y</param>
        /// <param name="green">녹색 채널</param>
        public void SetGreen(int x, int y, byte green)
        {
            int i = y * this.bitmapData.Stride + x * 4;

            ImageByteArray[i + 1] = green;
        }

        #endregion
        #region 녹색 채널 구하기 - GetGreen(x, y)

        /// <summary>
        /// 녹색 채널 구하기
        /// </summary>
        /// <param name="x">X</param>
        /// <param name="y">Y</param>
        /// <returns>녹색 채널</returns>
        public byte GetGreen(int x, int y)
        {
            int i = y * this.bitmapData.Stride + x * 4;

            return ImageByteArray[i + 1];
        }

        #endregion
        #region 청색 채널 설정하기 - SetBlue(x, y, blue)

        /// <summary>
        /// 청색 채널 설정하기
        /// </summary>
        /// <param name="x">X</param>
        /// <param name="y">Y</param>
        /// <param name="blue">청색 채널</param>
        public void SetBlue(int x, int y, byte blue)
        {
            int i = y * this.bitmapData.Stride + x * 4;

            ImageByteArray[i] = blue;
        }

        #endregion
        #region 청색 채널 구하기 - GetBlue(x, y)

        /// <summary>
        /// 청색 채널 구하기
        /// </summary>
        /// <param name="x">X</param>
        /// <param name="y">Y</param>
        /// <returns>청색 채널</returns>
        public byte GetBlue(int x, int y)
        {
            int i = y * this.bitmapData.Stride + x * 4;

            return ImageByteArray[i];
        }

        #endregion
        #region  적색 채널 설정하기- SetRed(x, y, red)

        /// <summary>
        /// 적색 채널 설정하기
        /// </summary>
        /// <param name="x">X</param>
        /// <param name="y">Y</param>
        /// <param name="red">적색 채널</param>
        public void SetRed(int x, int y, byte red)
        {
            int i = y * this.bitmapData.Stride + x * 4;

            ImageByteArray[i + 2] = red;
        }

        #endregion
        #region 적색 채널 구하기 - GetRed(x, y)

        /// <summary>
        /// 적색 채널 구하기
        /// </summary>
        /// <param name="x">X</param>
        /// <param name="y">Y</param>
        /// <returns>적색 채널</returns>
        public byte GetRed(int x, int y)
        {
            int i = y * this.bitmapData.Stride + x * 4;

            return ImageByteArray[i + 2];
        }

        #endregion

        #region 적색 채널 지우기 - ClearRed()

        /// <summary>
        /// 적색 채널 지우기
        /// </summary>
        public void ClearRed()
        {
            bool wasLocked = IsLocked;

            LockBitmap();

            for(int y = 0; y < Height; y++)
            {
                for(int x = 0; x < Width; x++)
                {
                    SetRed(x, y, 0);
                }
            }

            if(!wasLocked)
            {
                UnlockBitmap();
            }
        }

        #endregion
        #region 녹색 채널 지우기 - ClearGreen()

        /// <summary>
        /// 녹색 채널 지우기
        /// </summary>
        public void ClearGreen()
        {
            bool wasLocked = IsLocked;

            LockBitmap();

            for(int y = 0; y < Height; y++)
            {
                for(int x = 0; x < Width; x++)
                {
                    SetGreen(x, y, 0);
                }
            }

            if(!wasLocked)
            {
                UnlockBitmap();
            }
        }

        #endregion
        #region 청색 채널 지우기 - ClearBlue()

        /// <summary>
        /// 청색 채널 지우기
        /// </summary>
        public void ClearBlue()
        {
            bool wasLocked = IsLocked;

            LockBitmap();

            for(int y = 0; y < Height; y++)
            {
                for(int x = 0; x < Width; x++)
                {
                    SetBlue(x, y, 0);
                }
            }

            if(!wasLocked)
            {
                UnlockBitmap();
            }
        }

        #endregion

        #region 채널 평균 값으로 회색조 비트맵으로 변환하기 - ConvertToAverageGrayscaleBitmap()

        /// <summary>
        /// 채널 평균 값으로 회색조 비트맵으로 변환하기
        /// </summary>
        public void ConvertToAverageGrayscaleBitmap()
        {
            bool wasLocked = IsLocked;

            LockBitmap();

            for(int y = 0; y < Height; y++)
            {
                for(int x = 0; x < Width; x++)
                {
                    GetPixel(x, y, out byte red, out byte green, out byte blue, out byte alpha);

                    byte gray = (byte)((red + green + blue) / 3);

                    SetPixel(x, y, gray, gray, gray, alpha);
                }
            }

            if(!wasLocked)
            {
                UnlockBitmap();
            }
        }

        #endregion
        #region 회색조 비트맵으로 변환하기 - ConvertToGrayscaleBitmap()

        /// <summary>
        /// 회색조 비트맵으로 변환하기
        /// </summary>
        public void ConvertToGrayscaleBitmap()
        {
            bool wasLocked = IsLocked;

            LockBitmap();

            for(int y = 0; y < Height; y++)
            {
                for(int x = 0; x < Width; x++)
                {
                    GetPixel(x, y, out byte red, out byte green, out byte blue, out byte alpha);

                    byte gray = (byte)(0.3 * red + 0.5 * green + 0.2 * blue);

                    SetPixel(x, y, gray, gray, gray, alpha);
                }
            }

            if(!wasLocked)
            {
                UnlockBitmap();
            }
        }

        #endregion
        #region 비트맵 반전하기 - InvertBitmap()

        /// <summary>
        /// 비트맵 반전하기
        /// </summary>
        public void InvertBitmap()
        {
            bool wasLocked = IsLocked;

            LockBitmap();

            for(int y = 0; y < Height; y++)
            {
                for(int x = 0; x < Width; x++)
                {
                    byte red   = (byte)(255 - GetRed  (x, y));
                    byte green = (byte)(255 - GetGreen(x, y));
                    byte blue  = (byte)(255 - GetBlue (x, y));
                    byte alpha = GetAlpha(x, y);

                    SetPixel(x, y, red, green, blue, alpha);
                }
            }

            if(!wasLocked)
            {
                UnlockBitmap();
            }
        }

        #endregion

        #region 복제하기 - Clone()

        /// <summary>
        /// 복제하기
        /// </summary>
        /// <returns>비트맵 헬퍼</returns>
        public BitmapHelper Clone()
        {
            bool wasLocked = this.IsLocked;

            LockBitmap();

            BitmapHelper bitmapHelper = MemberwiseClone() as BitmapHelper;

            bitmapHelper.Bitmap = new Bitmap(Bitmap.Width, Bitmap.Height);

            bitmapHelper.isLocked = false;

            if(!wasLocked)
            {
                UnlockBitmap();
            }

            return bitmapHelper;
        }

        #endregion
        #region 필터 적용하기 - ApplyFilter(filter, targetLocked)

        /// <summary>
        /// 필터 적용하기
        /// </summary>
        /// <param name="filter">필터</param>
        /// <param name="targetLocked">타겟 잠금 여부</param>
        /// <returns>비트맵 헬퍼</returns>
        public BitmapHelper ApplyFilter(Filter filter, bool targetLocked)
        {
            BitmapHelper targetHelper = Clone();

            bool wasLocked = IsLocked;

            LockBitmap();

            targetHelper.LockBitmap();

            int offsetX = -(int)(filter.KernelArray.GetUpperBound(1) / 2);
            int offsetY = -(int)(filter.KernelArray.GetUpperBound(0) / 2);

            int minimumX = -offsetX;
            int maximumX = Bitmap.Width - filter.KernelArray.GetUpperBound(1);

            int minimumY = -offsetY;
            int maximumY = Bitmap.Height - filter.KernelArray.GetUpperBound(0);

            int maximumRow    = filter.KernelArray.GetUpperBound(0);
            int maximumColumn = filter.KernelArray.GetUpperBound(1);

            for(int x = minimumX; x <= maximumX; x++)
            {
                for(int y = minimumY; y <= maximumY; y++)
                {
                    bool skipPixel = false;

                    float red   = 0;
                    float green = 0;
                    float blue  = 0;

                    for(int row = 0; row <= maximumRow; row++)
                    {
                        for(int column = 0; column <= maximumColumn; column++)
                        {
                            int indexX = x + column + offsetX;
                            int indexY = y + row    + offsetY;

                            GetPixel(indexX, indexY, out byte newRed, out byte newGreen, out byte newBlue, out byte newAlpha);

                            if(newAlpha == 0)
                            {
                                skipPixel = true;

                                break;
                            }

                            red   += newRed   * filter.KernelArray[row, column];
                            green += newGreen * filter.KernelArray[row, column];
                            blue  += newBlue  * filter.KernelArray[row, column];
                        }

                        if(skipPixel)
                        {
                            break;
                        }
                    }

                    if(!skipPixel)
                    {
                        red = filter.Offset + red / filter.Weight;

                        if(red < 0)
                        {
                            red = 0;
                        }

                        if(red > 255)
                        {
                            red = 255;
                        }

                        green = filter.Offset + green / filter.Weight;

                        if(green < 0)
                        {
                            green = 0;
                        }

                        if(green > 255)
                        {
                            green = 255;
                        }

                        blue = filter.Offset + blue / filter.Weight;

                        if(blue < 0)
                        {
                            blue = 0;
                        }

                        if(blue > 255)
                        {
                            blue = 255;
                        }

                        targetHelper.SetPixel(x, y, (byte)red, (byte)green, (byte)blue, GetAlpha(x, y));
                    }
                }
            }

            if(!targetLocked)
            {
                targetHelper.UnlockBitmap();
            }

            if(!wasLocked)
            {
                UnlockBitmap();
            }

            return targetHelper;
        }

        #endregion

        #region 워프하기 - Warp(warpOperation, targetLocked)

        /// <summary>
        /// 워프하기
        /// </summary>
        /// <param name="warpOperation">워프 연산</param>
        /// <param name="targetLocked">타겟 잠금 여부</param>
        /// <returns>비트맵 헬퍼</returns>
        public BitmapHelper Warp(WarpOperation warpOperation, bool targetLocked)
        {
            BitmapHelper targetHelper = Clone();

            bool wasLocked = IsLocked;

            LockBitmap();

            targetHelper.LockBitmap();

            WarpBitmap(this, targetHelper, warpOperation);

            if(!targetLocked)
            {
                targetHelper.UnlockBitmap();
            }

            if(!wasLocked)
            {
                UnlockBitmap();
            }

            return targetHelper;
        }

        #endregion
    }
}

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using System;

using System.Drawing;

using System.Drawing.Imaging;

using System.Runtime.InteropServices;

namespace TestProject

{

/// <summary>

/// 비트맵 헬퍼

/// </summary>

public class BitmapHelper

{

//////////////////////////////////////////////////////////////////////////////////////////////////// Enumeration

////////////////////////////////////////////////////////////////////////////////////////// Public

#region 워프 연산 - WarpOperation

/// <summary>

/// 워프 연산

/// </summary>

public enum WarpOperation

{

/// <summary>

/// Identity

/// </summary>

Identity,

/// <summary>

/// FishEye

/// </summary>

FishEye,

/// <summary>

/// Twist

/// </summary>

Twist,

/// <summary>

/// Wave

/// </summary>

Wave,

/// <summary>

/// SmallTop

/// </summary>

SmallTop,

/// <summary>

/// Wiggles

/// </summary>

Wiggles,

/// <summary>

/// DoubleWave

/// </summary>

DoubleWave

}

#endregion

//////////////////////////////////////////////////////////////////////////////////////////////////// Class

////////////////////////////////////////////////////////////////////////////////////////// Public

#region 필터 - Filter

/// <summary>

/// 필터

/// </summary>

public class Filter

{

//////////////////////////////////////////////////////////////////////////////////////////////////// Field

////////////////////////////////////////////////////////////////////////////////////////// Public

#region Field

/// <summary>

/// 커널 배열

/// </summary>

public float[,] KernelArray;

/// <summary>

/// 가중치

/// </summary>

public float Weight;

/// <summary>

/// 오프셋

/// </summary>

public float Offset;

#endregion

//////////////////////////////////////////////////////////////////////////////////////////////////// Method

////////////////////////////////////////////////////////////////////////////////////////// Public

#region 정규화하기 - Normalize()

/// <summary>

/// 정규화하기

/// </summary>

public void Normalize()

{

Weight = 0;

for(int row = 0; row <= KernelArray.GetUpperBound(0); row++)

{

for(int column = 0; column <= KernelArray.GetUpperBound(1); column++)

{

Weight += KernelArray[row, column];

}

#endregion

#region 총합이 0이 되는 중앙 커널 상관계수 설정하기 - SetCenterKernelCoefficientForZeroTotal()

/// <summary>

/// 총합이 0이 되는 중앙 커널 상관계수 설정하기

/// </summary>

public void SetCenterKernelCoefficientForZeroTotal()

{

float total = 0;

int rowCount = KernelArray.GetUpperBound(0);

int columnCount = KernelArray.GetUpperBound(1);

for(int row = 0; row <= rowCount; row++)

{

for(int column = 0; column <= columnCount; column++)

{

total += KernelArray[row, column];

}

int middleRow = (int)(KernelArray.GetUpperBound(0) / 2);

int middleColumn = (int)(KernelArray.GetUpperBound(1) / 2);

total -= KernelArray[middleRow, middleColumn];

KernelArray[middleRow, middleColumn] = -total;

}

#endregion

}

#endregion

//////////////////////////////////////////////////////////////////////////////////////////////////// Field

////////////////////////////////////////////////////////////////////////////////////////// Public

#region Field

/// <summary>

/// 이미지 바이트 배열

/// </summary>

public byte[] ImageByteArray;

/// <summary>

/// 행 크기 바이트 카운트

/// </summary>

public int RowSizeByteCount;

/// <summary>

/// 픽셀 데이터 크기

/// </summary>

public const int PixelDataSize = 32;

/// <summary>

/// 비트맵

/// </summary>

public Bitmap Bitmap;

#endregion

////////////////////////////////////////////////////////////////////////////////////////// Private

#region Field

/// <summary>

/// 잠금 여부

/// </summary>

private bool isLocked = false;

/// <summary>

/// 비트맵 데이터

/// </summary>

private BitmapData bitmapData;

#endregion

#region 너비 - Width

/// <summary>

/// 너비

/// </summary>

public int Width

{

get

{

return Bitmap.Width;

}

#endregion

#region 높이 - Height

/// <summary>

/// 높이

/// </summary>

public int Height

{

get

{

return Bitmap.Height;

}

#endregion

//////////////////////////////////////////////////////////////////////////////////////////////////// Property

////////////////////////////////////////////////////////////////////////////////////////// Static

//////////////////////////////////////////////////////////////////////////////// Public

#region 엠보싱 필터 - EmbossingFilter

/// <summary>

/// 엠보싱 필터

/// </summary>

public static Filter EmbossingFilter

{

get

{

return new Filter()

{

Weight = 1,

Offset = 127,

KernelArray = new float[,]

{

{ -1, 0, 0 },

{ 0, 0, 0 },

{ 0, 0, 1 }

}

};

}

#endregion

#region 엠보싱 필터 2 - EmbossingFilter2

/// <summary>

/// 엠보싱 필터 2

/// </summary>

public static Filter EmbossingFilter2

{

get

{

return new Filter()

{

Weight = 1,

Offset = 127,

KernelArray = new float[,]

{

{ 2, 0, 0 },

{ 0, -1, 0 },

{ 0, 0, -1 }

}

};

}

#endregion

#region 5X5 가우시안 블러 필터 - BlurFilter5X5Gaussian

/// <summary>

/// 5X5 가우시안 블러 필터

/// </summary>

public static Filter BlurFilter5X5Gaussian

{

get

{

Filter filter = new Filter()

{

Offset = 0,

KernelArray = new float[,]

{

{ 1, 4, 7, 4, 1 },

{ 4, 16, 26, 16, 4 },

{ 7, 26, 41, 26, 7 },

{ 4, 16, 26, 16, 4 },

{ 1, 4, 7, 4, 1 }

}

};

filter.Normalize();

return filter;

}

#endregion

#region 5X5 평균 블러 필터 - BlurFilter5X5Mean

/// <summary>

/// 5X5 평균 블러 필터

/// </summary>

public static Filter BlurFilter5X5Mean

{

get

{

Filter filter = new Filter()

{

Offset = 0,

KernelArray = new float[,]

{

{ 1, 1, 1, 1, 1 },

{ 1, 1, 1, 1, 1 }

}

};

filter.Normalize();

return filter;

}

#endregion

#region 좌상단→우하단 모서리 탐지 필터 - EdgeDetectionFilterULtoLR

/// <summary>

/// 좌상단→우하단 모서리 탐지 필터

/// </summary>

public static Filter EdgeDetectionFilterULtoLR

{

get

{

return new Filter()

{

Weight = 1,

Offset = 0,

KernelArray = new float[,]

{

{ -5, 0, 0 },

{ 0, 0, 0 },

{ 0, 0, 5 }

}

};

}

#endregion

#region 상단→하단 모서리 탐지 필터 - EdgeDetectionFilterTopToBottom

/// <summary>

/// 상단→하단 모서리 탐지 필터

/// </summary>

public static Filter EdgeDetectionFilterTopToBottom

{

get

{

return new Filter()

{

Weight = 1,

Offset = 0,

KernelArray = new float[,]

{

{ -1, -1, -1 },

{ 0, 0, 0 },

{ 1, 1, 1 }

}

};

}

#endregion

#region 좌측→우측 모서리 탐지 필터 - EdgeDetectionFilterLeftToRight

/// <summary>

/// 좌측→우측 모서리 탐지 필터

/// </summary>

public static Filter EdgeDetectionFilterLeftToRight

{

get

{

return new Filter()

{

Weight = 1,

Offset = 0,

KernelArray = new float[,]

{

{ -1, 0, 1 },

{ -1, 0, 1 }

}

};

}

#endregion

#region 3X3 하이 패스 필터 - HighPassFilter3X3

/// <summary>

/// 3X3 하이 패스 필터

/// </summary>

public static Filter HighPassFilter3X3

{

get

{

return new Filter()

{

Weight = 16,

Offset = 127,

KernelArray = new float[,]

{

{ -1, -2, -1 },

{ -2, 12, -2 },

{ -1, -2, -1 }

}

};

}

#endregion

#region 5X5 하이 패스 필터 - HighPassFilter5X5

/// <summary>

/// 5X5 하이 패스 필터

/// </summary>

public static Filter HighPassFilter5X5

{

get

{

Filter filter = new Filter()

{

Offset = 127,

KernelArray = new float[,]

{

{ -1, -4, -7, -4, -1 },

{ -4, -16, -26, -16, -4 },

{ -7, -26, -41, -26, -7 },

{ -4, -16, -26, -16, -4 },

{ -1, -4, -7, -4, -1 }

}

};

filter.Normalize();

filter.Weight = -filter.Weight;

filter.SetCenterKernelCoefficientForZeroTotal();

return filter;

}

#endregion

////////////////////////////////////////////////////////////////////////////////////////// Public

#region 잠금 여부 - IsLocked

/// <summary>

/// 잠금 여부

/// </summary>

public bool IsLocked

{

get

{

return this.isLocked;

}

#endregion

//////////////////////////////////////////////////////////////////////////////////////////////////// Constructor

////////////////////////////////////////////////////////////////////////////////////////// Public

#region 생성자 - BitmapHelper(bitmap)

/// <summary>

/// 생성자

/// </summary>

/// <param name="bitmap">비트맵</param>

public BitmapHelper(Bitmap bitmap)

{

Bitmap = bitmap;

}

#endregion

//////////////////////////////////////////////////////////////////////////////////////////////////// Method

////////////////////////////////////////////////////////////////////////////////////////// Static

//////////////////////////////////////////////////////////////////////////////// Private

#region 픽셀 매핑하기 - MapPixel(warpOperation, middleX, middleY, maximumR, targetX, targetY, sourceX, sourceY)

/// <summary>

/// 픽셀 매핑하기

/// </summary>

/// <param name="warpOperation">워프 연산</param>

/// <param name="middleX">중간 X</param>

/// <param name="middleY">중간 Y</param>

/// <param name="maximumR">최대 R</param>

/// <param name="targetX">타겟 X</param>

/// <param name="targetY">타겟 Y</param>

/// <param name="sourceX">소스 X</param>

/// <param name="sourceY">소스 Y</param>

/// <remarks>출력 픽셀(targetX, targetY)을 다시 입력 픽셀(sourceX, sourceY)에 매핑한다.</remarks>

private static void MapPixel(WarpOperation warpOperation, double middleX, double middleY, double maximumR, int targetX, int targetY, out double sourceX, out double sourceY)

{

const double PI_OVER_2 = Math.PI / 2.0;

const double K = 100.0;

const double OFFSET = -PI_OVER_2;

double deltaX;

double deltaY;

double r1;

double r2;

switch(warpOperation)

{

case WarpOperation.Identity :

sourceX = targetX;

sourceY = targetY;

break;

case WarpOperation.FishEye :

deltaX = targetX - middleX;

deltaY = targetY - middleY;

r1 = Math.Sqrt(deltaX * deltaX + deltaY * deltaY);

if(r1 == 0)

{

sourceX = middleX;

sourceY = middleY;

}

else

{

r2 = maximumR / 2 * (1 / (1 - r1 / maximumR) - 1);

sourceX = deltaX * r2 / r1 + middleX;

sourceY = deltaY * r2 / r1 + middleY;

}

break;

case WarpOperation.Twist :

deltaX = targetX - middleX;

deltaY = targetY - middleY;

r1 = Math.Sqrt(deltaX * deltaX + deltaY * deltaY);

if(r1 == 0)

{

sourceX = 0;

sourceY = 0;

}

else

{

double theta = Math.Atan2(deltaX, deltaY) - r1 / K - OFFSET;

sourceX = r1 * Math.Cos(theta);

sourceY = r1 * Math.Sin(theta);

}

sourceX += middleX;

sourceY += middleY;

break;

case WarpOperation.Wave :

sourceX = targetX;

sourceY = targetY - 10 * (Math.Sin(targetX / 50.0 * Math.PI) + 1) + 5;

break;

case WarpOperation.SmallTop :

deltaX = middleX - targetX;

deltaX = deltaX * middleY * 2 / (targetY + 1);

sourceX = middleX - deltaX;

sourceY = targetY;

break;

case WarpOperation.Wiggles :

deltaX = middleX - targetX;

deltaX = deltaX * (Math.Sin(targetY / 50.0 * Math.PI) / 2 + 1.5);

sourceX = middleX - deltaX;

sourceY = targetY;

break;

case WarpOperation.DoubleWave :

sourceX = targetX - 10 * (Math.Sin(targetY / 50.0 * Math.PI) + 1) + 5;

sourceY = targetY - 10 * (Math.Sin(targetX / 50.0 * Math.PI) + 1) + 5;

break;

default : // 수직/수평 반전

sourceX = 2 * middleX - targetX;

sourceY = 2 * middleY - targetY;

break;

}

#endregion

#region 비트맵 워프하기 - WarpBitmap(sourceHelper, targetHelper, warpOperation)

/// <summary>

/// 비트맵 워프하기

/// </summary>

/// <param name="sourceHelper">소스 비트맵 헬퍼</param>

/// <param name="targetHelper">타겟 비트맵 헬퍼</param>

/// <param name="warpOperation">워프 연산</param>

private static void WarpBitmap(BitmapHelper sourceHelper, BitmapHelper targetHelper, WarpOperation warpOperation)

{

double middleX = targetHelper.Width / 2.0;

double middleY = targetHelper.Height / 2.0;

double maximumR = targetHelper.Width * 0.75;

int maximumIndexX = sourceHelper.Width - 2;

int maximumIndexY = sourceHelper.Height - 2;

for(int y1 = 0; y1 < targetHelper.Height; y1++)

{

for (int x1 = 0; x1 < targetHelper.Width; x1++)

{

MapPixel(warpOperation, middleX, middleY, maximumR, x1, y1, out double x0, out double y0);

int indexX0 = (int)x0;

int indexY0 = (int)y0;

if((indexX0 < 0) || (indexX0 > maximumIndexX) || (indexY0 < 0) || (indexY0 > maximumIndexY))

{

targetHelper.SetPixel(x1, y1, 255, 255, 255, 255);

}

else

{

double deltaX0 = x0 - indexX0;

double deltaY0 = y0 - indexY0;

double deltaX1 = 1 - deltaX0;

double deltaY1 = 1 - deltaY0;

sourceHelper.GetPixel(indexX0 , indexY0 , out byte r00, out byte g00, out byte b00, out byte a00);

sourceHelper.GetPixel(indexX0 , indexY0 + 1, out byte r01, out byte g01, out byte b01, out byte a01);

sourceHelper.GetPixel(indexX0 + 1, indexY0 , out byte r10, out byte g10, out byte b10, out byte a10);

sourceHelper.GetPixel(indexX0 + 1, indexY0 + 1, out byte r11, out byte g11, out byte b11, out byte a11);

int r = (int)(r00 * deltaX1 * deltaY1 + r01 * deltaX1 * deltaY0 + r10 * deltaX0 * deltaY1 + r11 * deltaX0 * deltaY0);

int g = (int)(g00 * deltaX1 * deltaY1 + g01 * deltaX1 * deltaY0 + g10 * deltaX0 * deltaY1 + g11 * deltaX0 * deltaY0);

int b = (int)(b00 * deltaX1 * deltaY1 + b01 * deltaX1 * deltaY0 + b10 * deltaX0 * deltaY1 + b11 * deltaX0 * deltaY0);

int a = (int)(a00 * deltaX1 * deltaY1 + a01 * deltaX1 * deltaY0 + a10 * deltaX0 * deltaY1 + a11 * deltaX0 * deltaY0);

targetHelper.SetPixel(x1, y1, (byte)r, (byte)g, (byte)b, (byte)a);

}

#endregion

////////////////////////////////////////////////////////////////////////////////////////// Instance

//////////////////////////////////////////////////////////////////////////////// Public

#region 비트맵 잠금 설정하기 - LockBitmap()

/// <summary>

/// 비트맵 잠금 설정하기

/// </summary>

public void LockBitmap()

{

if(IsLocked)

{

return;

}

Rectangle boundRectangle = new Rectangle

(

Bitmap.Width,

Bitmap.Height

);

this.bitmapData = Bitmap.LockBits

(

boundRectangle,

ImageLockMode.ReadWrite,

PixelFormat.Format32bppArgb

);

RowSizeByteCount = this.bitmapData.Stride;

int totalSize = this.bitmapData.Stride * this.bitmapData.Height;

ImageByteArray = new byte[totalSize];

Marshal.Copy(this.bitmapData.Scan0, ImageByteArray, 0, totalSize);

this.isLocked = true;

}

#endregion

#region 비트맵 잠금 해제하기 - UnlockBitmap()

/// <summary>

/// 비트맵 잠금 해제하기

/// </summary>

public void UnlockBitmap()

{

if(!IsLocked)

{

return;

}

int totalSize = this.bitmapData.Stride * this.bitmapData.Height;

Marshal.Copy(ImageByteArray, 0, this.bitmapData.Scan0, totalSize);

Bitmap.UnlockBits(this.bitmapData);

ImageByteArray = null;

this.bitmapData = null;

this.isLocked = false;

}

#endregion

#region 픽셀 설정하기 - SetPixel(x, y, red, green, blue, alpha)

/// <summary>

/// 픽셀 설정하기

/// </summary>

/// <param name="x">X</param>

/// <param name="y">Y</param>

/// <param name="red">적색 채널</param>

/// <param name="green">녹색 채널</param>

/// <param name="blue">청색 채널</param>

/// <param name="alpha">알파 채널</param>

public void SetPixel(int x, int y, byte red, byte green, byte blue, byte alpha)

{

int i = y * this.bitmapData.Stride + x * 4;

ImageByteArray[i++] = blue;

ImageByteArray[i++] = green;

ImageByteArray[i++] = red;

ImageByteArray[i ] = alpha;

}

#endregion

#region 픽셀 구하기 - GetPixel(x, y, red, green, blue, alpha)

/// <summary>

/// 픽셀 구하기

/// </summary>

/// <param name="x">X</param>

/// <param name="y">Y</param>

/// <param name="red">적색 채널</param>

/// <param name="green">녹색 채널</param>

/// <param name="blue">청색 채널</param>

/// <param name="alpha">알파 채널</param>

public void GetPixel(int x, int y, out byte red, out byte green, out byte blue, out byte alpha)

{

int i = y * this.bitmapData.Stride + x * 4;

blue = ImageByteArray[i++];

green = ImageByteArray[i++];

red = ImageByteArray[i++];

alpha = ImageByteArray[i ];

}

#endregion

#region 알파 채널 설정하기 - SetAlpha(x, y, alpha)

/// <summary>

/// 알파 채널 설정하기

/// </summary>

/// <param name="x">X</param>

/// <param name="y">Y</param>

/// <param name="alpha">알파 채널</param>

public void SetAlpha(int x, int y, byte alpha)

{

int i = y * this.bitmapData.Stride + x * 4;

ImageByteArray[i + 3] = alpha;

}

#endregion

#region 알파 채널 구하기 - GetAlpha(x, y)

/// <summary>

/// 알파 채널 구하기

/// </summary>

/// <param name="x">X</param>

/// <param name="y">Y</param>

/// <returns>알파 채널</returns>

public byte GetAlpha(int x, int y)

{

int i = y * this.bitmapData.Stride + x * 4;

return ImageByteArray[i + 3];

}

#endregion

#region 녹색 채널 설정하기 - SetGreen(x, y, green)

/// <summary>

/// 녹색 채널 설정하기

/// </summary>

/// <param name="x">X</param>

/// <param name="y">Y</param>

/// <param name="green">녹색 채널</param>

public void SetGreen(int x, int y, byte green)

{

int i = y * this.bitmapData.Stride + x * 4;

ImageByteArray[i + 1] = green;

}

#endregion

#region 녹색 채널 구하기 - GetGreen(x, y)

/// <summary>

/// 녹색 채널 구하기

/// </summary>

/// <param name="x">X</param>

/// <param name="y">Y</param>

/// <returns>녹색 채널</returns>

public byte GetGreen(int x, int y)

{

int i = y * this.bitmapData.Stride + x * 4;

return ImageByteArray[i + 1];

}

#endregion

#region 청색 채널 설정하기 - SetBlue(x, y, blue)

/// <summary>

/// 청색 채널 설정하기

/// </summary>

/// <param name="x">X</param>

/// <param name="y">Y</param>

/// <param name="blue">청색 채널</param>

public void SetBlue(int x, int y, byte blue)

{

int i = y * this.bitmapData.Stride + x * 4;

ImageByteArray[i] = blue;

}

#endregion

#region 청색 채널 구하기 - GetBlue(x, y)

/// <summary>

/// 청색 채널 구하기

/// </summary>

/// <param name="x">X</param>

/// <param name="y">Y</param>

/// <returns>청색 채널</returns>

public byte GetBlue(int x, int y)

{

int i = y * this.bitmapData.Stride + x * 4;

return ImageByteArray[i];

}

#endregion

#region 적색 채널 설정하기- SetRed(x, y, red)

/// <summary>

/// 적색 채널 설정하기

/// </summary>

/// <param name="x">X</param>

/// <param name="y">Y</param>

/// <param name="red">적색 채널</param>

public void SetRed(int x, int y, byte red)

{

int i = y * this.bitmapData.Stride + x * 4;

ImageByteArray[i + 2] = red;

}

#endregion

#region 적색 채널 구하기 - GetRed(x, y)

/// <summary>

/// 적색 채널 구하기

/// </summary>

/// <param name="x">X</param>

/// <param name="y">Y</param>

/// <returns>적색 채널</returns>

public byte GetRed(int x, int y)

{

int i = y * this.bitmapData.Stride + x * 4;

return ImageByteArray[i + 2];

}

#endregion

#region 적색 채널 지우기 - ClearRed()

/// <summary>

/// 적색 채널 지우기

/// </summary>

public void ClearRed()

{

bool wasLocked = IsLocked;

LockBitmap();

for(int y = 0; y < Height; y++)

{

for(int x = 0; x < Width; x++)

{

SetRed(x, y, 0);

}

if(!wasLocked)

{

UnlockBitmap();

}

#endregion

#region 녹색 채널 지우기 - ClearGreen()

/// <summary>

/// 녹색 채널 지우기

/// </summary>

public void ClearGreen()

{

bool wasLocked = IsLocked;

LockBitmap();

for(int y = 0; y < Height; y++)

{

for(int x = 0; x < Width; x++)

{

SetGreen(x, y, 0);

}

if(!wasLocked)

{

UnlockBitmap();

}

#endregion

#region 청색 채널 지우기 - ClearBlue()

/// <summary>

/// 청색 채널 지우기

/// </summary>

public void ClearBlue()

{

bool wasLocked = IsLocked;

LockBitmap();

for(int y = 0; y < Height; y++)

{

for(int x = 0; x < Width; x++)

{

SetBlue(x, y, 0);

}

if(!wasLocked)

{

UnlockBitmap();

}

#endregion

#region 채널 평균 값으로 회색조 비트맵으로 변환하기 - ConvertToAverageGrayscaleBitmap()

/// <summary>

/// 채널 평균 값으로 회색조 비트맵으로 변환하기

/// </summary>

public void ConvertToAverageGrayscaleBitmap()

{

bool wasLocked = IsLocked;

LockBitmap();

for(int y = 0; y < Height; y++)

{

for(int x = 0; x < Width; x++)

{

GetPixel(x, y, out byte red, out byte green, out byte blue, out byte alpha);

byte gray = (byte)((red + green + blue) / 3);

SetPixel(x, y, gray, gray, gray, alpha);

}

if(!wasLocked)

{

UnlockBitmap();

}

#endregion

#region 회색조 비트맵으로 변환하기 - ConvertToGrayscaleBitmap()

/// <summary>

/// 회색조 비트맵으로 변환하기

/// </summary>

public void ConvertToGrayscaleBitmap()

{

bool wasLocked = IsLocked;

LockBitmap();

for(int y = 0; y < Height; y++)

{

for(int x = 0; x < Width; x++)

{

GetPixel(x, y, out byte red, out byte green, out byte blue, out byte alpha);

byte gray = (byte)(0.3 * red + 0.5 * green + 0.2 * blue);

SetPixel(x, y, gray, gray, gray, alpha);

}

if(!wasLocked)

{

UnlockBitmap();

}

#endregion

#region 비트맵 반전하기 - InvertBitmap()

/// <summary>

/// 비트맵 반전하기

/// </summary>

public void InvertBitmap()

{

bool wasLocked = IsLocked;

LockBitmap();

for(int y = 0; y < Height; y++)

{

for(int x = 0; x < Width; x++)

{

byte red = (byte)(255 - GetRed (x, y));

byte green = (byte)(255 - GetGreen(x, y));

byte blue = (byte)(255 - GetBlue (x, y));

byte alpha = GetAlpha(x, y);

SetPixel(x, y, red, green, blue, alpha);

}

if(!wasLocked)

{

UnlockBitmap();

}

#endregion

#region 복제하기 - Clone()

/// <summary>

/// 복제하기

/// </summary>

/// <returns>비트맵 헬퍼</returns>

public BitmapHelper Clone()

{

bool wasLocked = this.IsLocked;

LockBitmap();

BitmapHelper bitmapHelper = MemberwiseClone() as BitmapHelper;

bitmapHelper.Bitmap = new Bitmap(Bitmap.Width, Bitmap.Height);

bitmapHelper.isLocked = false;

if(!wasLocked)

{

UnlockBitmap();

}

return bitmapHelper;

}

#endregion

#region 필터 적용하기 - ApplyFilter(filter, targetLocked)

/// <summary>

/// 필터 적용하기

/// </summary>

/// <param name="filter">필터</param>

/// <param name="targetLocked">타겟 잠금 여부</param>

/// <returns>비트맵 헬퍼</returns>

public BitmapHelper ApplyFilter(Filter filter, bool targetLocked)

{

BitmapHelper targetHelper = Clone();

bool wasLocked = IsLocked;

LockBitmap();

targetHelper.LockBitmap();

int offsetX = -(int)(filter.KernelArray.GetUpperBound(1) / 2);

int offsetY = -(int)(filter.KernelArray.GetUpperBound(0) / 2);

int minimumX = -offsetX;

int maximumX = Bitmap.Width - filter.KernelArray.GetUpperBound(1);

int minimumY = -offsetY;

int maximumY = Bitmap.Height - filter.KernelArray.GetUpperBound(0);

int maximumRow = filter.KernelArray.GetUpperBound(0);

int maximumColumn = filter.KernelArray.GetUpperBound(1);

for(int x = minimumX; x <= maximumX; x++)

{

for(int y = minimumY; y <= maximumY; y++)

{

bool skipPixel = false;

float red = 0;

float green = 0;

float blue = 0;

for(int row = 0; row <= maximumRow; row++)

{

for(int column = 0; column <= maximumColumn; column++)

{

int indexX = x + column + offsetX;

int indexY = y + row + offsetY;

GetPixel(indexX, indexY, out byte newRed, out byte newGreen, out byte newBlue, out byte newAlpha);

if(newAlpha == 0)

{

skipPixel = true;

break;

}

red += newRed * filter.KernelArray[row, column];

green += newGreen * filter.KernelArray[row, column];

blue += newBlue * filter.KernelArray[row, column];

}

if(skipPixel)

{

break;

}

if(!skipPixel)

{

red = filter.Offset + red / filter.Weight;

if(red < 0)

{

red = 0;

}

if(red > 255)

{

red = 255;

}

green = filter.Offset + green / filter.Weight;

if(green < 0)

{

green = 0;

}

if(green > 255)

{

green = 255;

}

blue = filter.Offset + blue / filter.Weight;

if(blue < 0)

{

blue = 0;

}

if(blue > 255)

{

blue = 255;

}

targetHelper.SetPixel(x, y, (byte)red, (byte)green, (byte)blue, GetAlpha(x, y));

}

if(!targetLocked)

{

targetHelper.UnlockBitmap();

}

if(!wasLocked)

{

UnlockBitmap();

}

return targetHelper;

}

#endregion

#region 워프하기 - Warp(warpOperation, targetLocked)

/// <summary>

/// 워프하기

/// </summary>

/// <param name="warpOperation">워프 연산</param>

/// <param name="targetLocked">타겟 잠금 여부</param>

/// <returns>비트맵 헬퍼</returns>

public BitmapHelper Warp(WarpOperation warpOperation, bool targetLocked)

{

BitmapHelper targetHelper = Clone();

bool wasLocked = IsLocked;

LockBitmap();

targetHelper.LockBitmap();

WarpBitmap(this, targetHelper, warpOperation);

if(!targetLocked)

{

targetHelper.UnlockBitmap();

}

if(!wasLocked)

{

UnlockBitmap();

}

return targetHelper;

}

#endregion

}

▶ PointInfo.cs


namespace TestProject
{
    /// <summary>
    /// 포인트 정보
    /// </summary>
    public class PointInfo
    {
        //////////////////////////////////////////////////////////////////////////////////////////////////// Field
        ////////////////////////////////////////////////////////////////////////////////////////// Public

        #region Field

        /// <summary>
        /// 복소수 Z
        /// </summary>
        public Complex Z;

        /// <summary>
        /// 단계 번호
        /// </summary>
        public int StepNumber;

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Constructor
        ////////////////////////////////////////////////////////////////////////////////////////// Public

        #region 생성자 - PointInfo(z, stepNumber)

        /// <summary>
        /// 생성자
        /// </summary>
        /// <param name="z">복소수 Z</param>
        /// <param name="stepNumber">단계 번호</param>
        public PointInfo(Complex z, int stepNumber)
        {
            Z          = z;
            StepNumber = stepNumber;
        }

        #endregion
    }
}

namespace TestProject

{

/// <summary>

/// 포인트 정보

/// </summary>

public class PointInfo

{

//////////////////////////////////////////////////////////////////////////////////////////////////// Field

////////////////////////////////////////////////////////////////////////////////////////// Public

#region Field

/// <summary>

/// 복소수 Z

/// </summary>

public Complex Z;

/// <summary>

/// 단계 번호

/// </summary>

public int StepNumber;

#endregion

//////////////////////////////////////////////////////////////////////////////////////////////////// Constructor

////////////////////////////////////////////////////////////////////////////////////////// Public

#region 생성자 - PointInfo(z, stepNumber)

/// <summary>

/// 생성자

/// </summary>

/// <param name="z">복소수 Z</param>

/// <param name="stepNumber">단계 번호</param>

public PointInfo(Complex z, int stepNumber)

{

Z = z;

StepNumber = stepNumber;

}

#endregion

}

▶ Complex.cs


using System;

namespace TestProject
{
    /// <summary>
    /// 복소수
    /// </summary>
    public class Complex
    {
        //////////////////////////////////////////////////////////////////////////////////////////////////// Property
        ////////////////////////////////////////////////////////////////////////////////////////// Public

        #region 실수 - RealNumber

        /// <summary>
        /// 실수
        /// </summary>
        public double RealNumber { get; set; }

        #endregion
        #region 허수 - ImaginaryNumber

        /// <summary>
        /// 허수
        /// </summary>
        public double ImaginaryNumber { get; set; }

        #endregion

        #region 크기 - Magnitude

        /// <summary>
        /// 크기
        /// </summary>
        public double Magnitude
        {
            get
            {
                return Math.Sqrt(RealNumber * RealNumber + ImaginaryNumber * ImaginaryNumber);
            }
        }

        #endregion
        #region 제곱근 - SquareRoot

        /// <summary>
        /// 제곱근
        /// </summary>
        public Complex SquareRoot
        {
            get
            {
                double newRealNumber      = Math.Sqrt((Magnitude + RealNumber) / 2.0);
                double newImaginaryNumber = Math.Sign(ImaginaryNumber) * Math.Sqrt((Magnitude - RealNumber) / 2.0);

                return new Complex(newRealNumber, newImaginaryNumber);
            }
        }

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Constructor
        ////////////////////////////////////////////////////////////////////////////////////////// Public

        #region 생성자 - Complex(realNumber, imaginaryNumber)

        /// <summary>
        /// 생성자
        /// </summary>
        /// <param name="realNumber">실수</param>
        /// <param name="imaginaryNumber">허수</param>
        public Complex(double realNumber, double imaginaryNumber)
        {
            RealNumber      = realNumber;
            ImaginaryNumber = imaginaryNumber;
        }

        #endregion
        #region 생성자 - Complex(realNumber)

        /// <summary>
        /// 생성자
        /// </summary>
        /// <param name="realNumber">실수</param>
        public Complex(double realNumber) : this(realNumber, 0)
        {
        }

        #endregion
        #region 생성자 - Complex()

        /// <summary>
        /// 생성자
        /// </summary>
        public Complex() : this(0, 0)
        {
        }

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Method
        ////////////////////////////////////////////////////////////////////////////////////////// Static
        //////////////////////////////////////////////////////////////////////////////// Public

        #region 연산자 + 재정의하기 - +(complex1, complex2)

        /// <summary>
        /// 연산자 + 재정의하기
        /// </summary>
        /// <param name="complex1">복소수 1</param>
        /// <param name="complex2">복소수 2</param>
        /// <returns>복소수</returns>
        public static Complex operator +(Complex complex1, Complex complex2)
        {
            return new Complex(complex1.RealNumber + complex2.RealNumber, complex1.ImaginaryNumber + complex2.ImaginaryNumber);
        }

        #endregion
        #region 연산자 - 재정의하기 - -(complex)

        /// <summary>
        /// 연산자 - 재정의하기
        /// </summary>
        /// <param name="complex">복소수</param>
        /// <returns>복소수</returns>
        public static Complex operator -(Complex complex)
        {
            return new Complex(-complex.RealNumber, -complex.ImaginaryNumber);
        }

        #endregion
        #region 연산자 - 재정의하기 - -(complex1, complex2)

        /// <summary>
        /// 연산자 - 재정의하기
        /// </summary>
        /// <param name="complex1">복소수 1</param>
        /// <param name="complex2">복소수 2</param>
        /// <returns>복소수</returns>
        public static Complex operator -(Complex complex1, Complex complex2)
        {
            return complex1 + (-complex2);
        }

        #endregion
        #region 연산자 * 재정의하기 - *(complex1, complex2)

        /// <summary>
        /// 연산자 * 재정의하기
        /// </summary>
        /// <param name="complex1">복소수 1</param>
        /// <param name="complex2">복소수 2</param>
        /// <returns>복소수</returns>
        public static Complex operator *(Complex complex1, Complex complex2)
        {
            return new Complex
            (
                complex1.RealNumber * complex2.RealNumber      - complex1.ImaginaryNumber * complex2.ImaginaryNumber,
                complex1.RealNumber * complex2.ImaginaryNumber + complex1.ImaginaryNumber * complex2.RealNumber
            );
        }

        #endregion
        #region 연산자 / 재정의하기 - /(complex1, complex2)

        /// <summary>
        /// 연산자 / 재정의하기
        /// </summary>
        /// <param name="complex1">복소수 1</param>
        /// <param name="complex2">복소수 2</param>
        /// <returns>복소수</returns>
        public static Complex operator /(Complex complex1, Complex complex2)
        {
            return complex1 * complex2.Inverse();
        }

        #endregion

        #region 암시적 변환 정의하기 - Complex(value)

        /// <summary>
        /// 암시적 변환 정의하기
        /// </summary>
        /// <param name="value">값</param>
        public static implicit operator Complex(double value)
        {
            return new Complex(value);
        }

        #endregion

        #region 파싱하기 - Parse(text)

        /// <summary>
        /// 파싱하기
        /// </summary>
        /// <param name="text">텍스트</param>
        /// <returns>복소수</returns>
        public static Complex Parse(string text)
        {
            text = text.Replace(" ", "");
            text = text.ToLower().Replace("i", "");

            char[] signCharacterArray = { '+', '-' };

            int position = text.IndexOfAny(signCharacterArray);

            if(position == 0)
            {
                position = text.IndexOfAny(signCharacterArray, 1);
            }

            double realNumber      = double.Parse(text.Substring(0, position));
            double imaginaryNumber = double.Parse(text.Substring(position));

            return new Complex(realNumber, imaginaryNumber);
        }

        #endregion

        ////////////////////////////////////////////////////////////////////////////////////////// Instance
        //////////////////////////////////////////////////////////////////////////////// Public

        #region 극좌표 값 구하기 - GetPolarValue(r, theta)

        /// <summary>
        /// 극좌표 값 구하기
        /// </summary>
        /// <param name="r">R</param>
        /// <param name="theta">세타</param>
        public void GetPolarValue(out double r, out double theta)
        {
            r = Math.Sqrt(RealNumber * RealNumber + ImaginaryNumber * ImaginaryNumber);

            theta = Math.Atan2(ImaginaryNumber, RealNumber);
        }

        #endregion
        #region 거듭제곱 구하기 - GetPower(power)

        /// <summary>
        /// 거듭제곱 구하기
        /// </summary>
        /// <param name="power">거듭제곱 수</param>
        /// <returns>거듭제곱 값</returns>
        /// <remarks>De Moivre 방정식을 사용하여 숫자를 거듭제곱한다.</remarks>
        public Complex GetPower(double power)
        {
            GetPolarValue(out double r, out double theta);

            double rToPower           = Math.Pow(r, power);
            double newRealNumber      = rToPower * Math.Cos(power * theta);
            double newImaginaryNumber = rToPower * Math.Sin(power * theta);

            return new Complex(newRealNumber, newImaginaryNumber);
        }

        #endregion
        #region 반전하기 - Inverse()

        /// <summary>
        /// 반전하기
        /// </summary>
        /// <returns></returns>
        public Complex Inverse()
        {
            double magnitude = Magnitude;

            return new Complex(RealNumber / magnitude, -ImaginaryNumber / magnitude);
        }

        #endregion

        #region 문자열 구하기 - ToString()

        /// <summary>
        /// 문자열 구하기
        /// </summary>
        /// <returns>문자열</returns>
        public override string ToString()
        {
            return $"{RealNumber} + {ImaginaryNumber}i";
        }

        #endregion
    }
}

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using System;

namespace TestProject

{

/// <summary>

/// 복소수

/// </summary>

public class Complex

{

//////////////////////////////////////////////////////////////////////////////////////////////////// Property

////////////////////////////////////////////////////////////////////////////////////////// Public

#region 실수 - RealNumber

/// <summary>

/// 실수

/// </summary>

public double RealNumber { get; set; }

#endregion

#region 허수 - ImaginaryNumber

/// <summary>

/// 허수

/// </summary>

public double ImaginaryNumber { get; set; }

#endregion

#region 크기 - Magnitude

/// <summary>

/// 크기

/// </summary>

public double Magnitude

{

get

{

return Math.Sqrt(RealNumber * RealNumber + ImaginaryNumber * ImaginaryNumber);

}

#endregion

#region 제곱근 - SquareRoot

/// <summary>

/// 제곱근

/// </summary>

public Complex SquareRoot

{

get

{

double newRealNumber = Math.Sqrt((Magnitude + RealNumber) / 2.0);

double newImaginaryNumber = Math.Sign(ImaginaryNumber) * Math.Sqrt((Magnitude - RealNumber) / 2.0);

return new Complex(newRealNumber, newImaginaryNumber);

}

#endregion

//////////////////////////////////////////////////////////////////////////////////////////////////// Constructor

////////////////////////////////////////////////////////////////////////////////////////// Public

#region 생성자 - Complex(realNumber, imaginaryNumber)

/// <summary>

/// 생성자

/// </summary>

/// <param name="realNumber">실수</param>

/// <param name="imaginaryNumber">허수</param>

public Complex(double realNumber, double imaginaryNumber)

{

RealNumber = realNumber;

ImaginaryNumber = imaginaryNumber;

}

#endregion

#region 생성자 - Complex(realNumber)

/// <summary>

/// 생성자

/// </summary>

/// <param name="realNumber">실수</param>

public Complex(double realNumber) : this(realNumber, 0)

{

}

#endregion

#region 생성자 - Complex()

/// <summary>

/// 생성자

/// </summary>

public Complex() : this(0, 0)

{

}

#endregion

//////////////////////////////////////////////////////////////////////////////////////////////////// Method

////////////////////////////////////////////////////////////////////////////////////////// Static

//////////////////////////////////////////////////////////////////////////////// Public

#region 연산자 + 재정의하기 - +(complex1, complex2)

/// <summary>

/// 연산자 + 재정의하기

/// </summary>

/// <param name="complex1">복소수 1</param>

/// <param name="complex2">복소수 2</param>

/// <returns>복소수</returns>

public static Complex operator +(Complex complex1, Complex complex2)

{

return new Complex(complex1.RealNumber + complex2.RealNumber, complex1.ImaginaryNumber + complex2.ImaginaryNumber);

}

#endregion

#region 연산자 - 재정의하기 - -(complex)

/// <summary>

/// 연산자 - 재정의하기

/// </summary>

/// <param name="complex">복소수</param>

/// <returns>복소수</returns>

public static Complex operator -(Complex complex)

{

return new Complex(-complex.RealNumber, -complex.ImaginaryNumber);

}

#endregion

#region 연산자 - 재정의하기 - -(complex1, complex2)

/// <summary>

/// 연산자 - 재정의하기

/// </summary>

/// <param name="complex1">복소수 1</param>

/// <param name="complex2">복소수 2</param>

/// <returns>복소수</returns>

public static Complex operator -(Complex complex1, Complex complex2)

{

return complex1 + (-complex2);

}

#endregion

#region 연산자 * 재정의하기 - *(complex1, complex2)

/// <summary>

/// 연산자 * 재정의하기

/// </summary>

/// <param name="complex1">복소수 1</param>

/// <param name="complex2">복소수 2</param>

/// <returns>복소수</returns>

public static Complex operator *(Complex complex1, Complex complex2)

{

return new Complex

(

complex1.RealNumber * complex2.RealNumber - complex1.ImaginaryNumber * complex2.ImaginaryNumber,

complex1.RealNumber * complex2.ImaginaryNumber + complex1.ImaginaryNumber * complex2.RealNumber

);

}

#endregion

#region 연산자 / 재정의하기 - /(complex1, complex2)

/// <summary>

/// 연산자 / 재정의하기

/// </summary>

/// <param name="complex1">복소수 1</param>

/// <param name="complex2">복소수 2</param>

/// <returns>복소수</returns>

public static Complex operator /(Complex complex1, Complex complex2)

{

return complex1 * complex2.Inverse();

}

#endregion

#region 암시적 변환 정의하기 - Complex(value)

/// <summary>

/// 암시적 변환 정의하기

/// </summary>

/// <param name="value">값</param>

public static implicit operator Complex(double value)

{

return new Complex(value);

}

#endregion

#region 파싱하기 - Parse(text)

/// <summary>

/// 파싱하기

/// </summary>

/// <param name="text">텍스트</param>

/// <returns>복소수</returns>

public static Complex Parse(string text)

{

text = text.Replace(" ", "");

text = text.ToLower().Replace("i", "");

char[] signCharacterArray = { '+', '-' };

int position = text.IndexOfAny(signCharacterArray);

if(position == 0)

{

position = text.IndexOfAny(signCharacterArray, 1);

}

double realNumber = double.Parse(text.Substring(0, position));

double imaginaryNumber = double.Parse(text.Substring(position));

return new Complex(realNumber, imaginaryNumber);

}

#endregion

////////////////////////////////////////////////////////////////////////////////////////// Instance

//////////////////////////////////////////////////////////////////////////////// Public

#region 극좌표 값 구하기 - GetPolarValue(r, theta)

/// <summary>

/// 극좌표 값 구하기

/// </summary>

/// <param name="r">R</param>

/// <param name="theta">세타</param>

public void GetPolarValue(out double r, out double theta)

{

r = Math.Sqrt(RealNumber * RealNumber + ImaginaryNumber * ImaginaryNumber);

theta = Math.Atan2(ImaginaryNumber, RealNumber);

}

#endregion

#region 거듭제곱 구하기 - GetPower(power)

/// <summary>

/// 거듭제곱 구하기

/// </summary>

/// <param name="power">거듭제곱 수</param>

/// <returns>거듭제곱 값</returns>

/// <remarks>De Moivre 방정식을 사용하여 숫자를 거듭제곱한다.</remarks>

public Complex GetPower(double power)

{

GetPolarValue(out double r, out double theta);

double rToPower = Math.Pow(r, power);

double newRealNumber = rToPower * Math.Cos(power * theta);

double newImaginaryNumber = rToPower * Math.Sin(power * theta);

return new Complex(newRealNumber, newImaginaryNumber);

}

#endregion

#region 반전하기 - Inverse()

/// <summary>

/// 반전하기

/// </summary>

/// <returns></returns>

public Complex Inverse()

{

double magnitude = Magnitude;

return new Complex(RealNumber / magnitude, -ImaginaryNumber / magnitude);

}

#endregion

#region 문자열 구하기 - ToString()

/// <summary>

/// 문자열 구하기

/// </summary>

/// <returns>문자열</returns>

public override string ToString()

{

return $"{RealNumber} + {ImaginaryNumber}i";

}

#endregion

}

▶ MainForm.cs


using System;
using System.CodeDom.Compiler;
using System.Drawing;
using System.Reflection;
using System.Windows.Forms;

using Microsoft.CSharp;

namespace TestProject
{
    /// <summary>
    /// 메인 폼
    /// </summary>
    public partial class MainForm : Form
    {
        //////////////////////////////////////////////////////////////////////////////////////////////////// Enumeration
        ////////////////////////////////////////////////////////////////////////////////////////// Private

        #region 스무딩 타입 - SmoothingType

        /// <summary>
        /// 스무딩 타입
        /// </summary>
        private enum SmoothingType
        {
            /// <summary>
            /// None
            /// </summary>
            None,

            /// <summary>
            /// Smooth1
            /// </summary>
            Smooth1,

            /// <summary>
            /// Smooth2
            /// </summary>
            Smooth2,
        }

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Field
        ////////////////////////////////////////////////////////////////////////////////////////// Private

        #region Field

        /// <summary>
        /// 프랙탈 색상 배열
        /// </summary>
        private Color[] fractalColorArray =
        {
            Color.Black,
            Color.Red,
            Color.Orange,
            Color.Yellow,
            Color.Green,
            Color.Cyan,
            Color.Blue,
            Color.Fuchsia
        };

        /// <summary>
        /// 색상 카운트
        /// </summary>
        private int colorCount = 0;

        /// <summary>
        /// 스무딩 타입
        /// </summary>
        private SmoothingType smoothingType = SmoothingType.None;

        /// <summary>
        /// 최대 크기
        /// </summary>
        private int maximumMagnitude;

        /// <summary>
        /// 최대 반복 카운트
        /// </summary>
        private int maximumIterationCount;

        /// <summary>
        /// 로그 단위 탈출 기준
        /// </summary>
        private double logEscape;

        /// <summary>
        /// 테스트 테두리 사각형
        /// </summary>
        private RectangleF testBoundRectangle = RectangleF.FromLTRB(-2.2f, -2.0f, 2.2f, 2.0f);

        /// <summary>
        /// 월드 테두리 사각형
        /// </summary>
        private RectangleF worldBoundRectangle;

        /// <summary>
        /// 시작 포인트
        /// </summary>
        private Point startPoint;

        /// <summary>
        /// 종료 포인트
        /// </summary>
        private Point endPoint;

        /// <summary>
        /// 영역 선택 여부
        /// </summary>
        private bool selectingArea = false;

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Constructor
        ////////////////////////////////////////////////////////////////////////////////////////// Public

        #region 생성자 - MainForm()

        /// <summary>
        /// 생성자
        /// </summary>
        public MainForm()
        {
            InitializeComponent();

            Load                                 += Form_Load;
            this.drawButton.Click                += drawButton_Click;
            this.saveFileAsMenuItem.Click        += saveFileAsMenuItem_Click;
            this.exitMenuItem.Click              += exitMenuItem_Click;
            this.noSmoothingMenuItem.Click       += noSmoothingMenuItem_Click;
            this.smooth1MenuItem.Click           += smooth1MenuItem_Click;
            this.smooth2MenuItem.Click           += smooth2MenuItem_Click;
            this.redrawMenuItem.Click            += redrawMenuItem_Click;
            this.scaleOutX2MenuItem.Click        += scaleOutX2MenuItem_Click;
            this.scaleOutX4MenuItem.Click        += scaleOutX4MenuItem_Click;
            this.scaleOutX8MenuItem.Click        += scaleOutX8MenuItem_Click;
            this.fullScaleMenuItem.Click         += fullScaleMenuItem_Click;
            this.enterSelectedAreaMenuItem.Click += enterSelectedAreaMenuItem_Click;
            this.mandelbrotSetMenuItem.Click     += mandelbrotSetMenuItem_Click;
            this.juliaSetBasicMenuItem.Click     += juliaSetBasicMenuItem_Click;
            this.juliaSet1MenuItem.Click         += juliaSet1MenuItem_Click;
            this.juliaSet2MenuItem.Click         += juliaSet2MenuItem_Click;
            this.juliaSet3MenuItem.Click         += juliaSet3MenuItem_Click;
            this.juliaSet4MenuItem.Click         += juliaSet4MenuItem_Click;
            this.juliaSet5MenuItem.Click         += juliaSet5MenuItem_Click;
            this.juliaSet6MenuItem.Click         += juliaSet6MenuItem_Click;
            this.juliaSet7MenuItem.Click         += juliaSet7MenuItem_Click;
            this.juliaSet8MenuItem.Click         += juliaSet8MenuItem_Click;
            this.juliaSet9MenuItem.Click         += juliaSet9MenuItem_Click;
            this.juliaSet10MenuItem.Click        += juliaSet10MenuItem_Click;
            this.juliaSet11MenuItem.Click        += juliaSet11MenuItem_Click;
            this.juliaSet12MenuItem.Click        += juliaSet12MenuItem_Click;
            this.juliaishSet1MenuItem.Click      += juliaishSet1MenuItem_Click;
            this.juliaishSet2MenuItem.Click      += juliaishSet2MenuItem_Click;
            this.juliaishSet3MenuItem.Click      += juliaishSet3MenuItem_Click;
            this.juliaishSet4MenuItem.Click      += juliaishSet4MenuItem_Click;
            this.pictureBox.Paint                += pictureBox_Paint;
            this.pictureBox.MouseDown            += pictureBox_MouseDown;
        }

        #endregion

        //////////////////////////////////////////////////////////////////////////////////////////////////// Method
        ////////////////////////////////////////////////////////////////////////////////////////// Event
        //////////////////////////////////////////////////////////////////////////////// Private

        #region 폼 로드시 처리하기 - Form_Load(sender, e)

        /// <summary>
        /// 폼 로드시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void Form_Load(object sender, EventArgs e)
        {
            this.pictureBox.Cursor = Cursors.Cross;

            this.colorCount = this.fractalColorArray.Length;

            this.maximumMagnitude = 2;

            this.maximumIterationCount = 64;

            this.logEscape = Math.Log(this.maximumMagnitude);

            SetWorldBoundRectangle(this.testBoundRectangle);

            this.pictureBox.Refresh();
        }

        #endregion

        #region 다른 이름으로 저장하기 메뉴 항목 클릭시 처리하기 - saveFileAsMenuItem_Click(sender, e)

        /// <summary>
        /// 다른 이름으로 저장하기 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void saveFileAsMenuItem_Click(object sender, EventArgs e)
        {
            if(this.pictureBox.Image == null)
            {
                return;
            }

            if(this.saveFileDialog.ShowDialog() == DialogResult.OK)
            {
                this.pictureBox.Image.SaveImage(this.saveFileDialog.FileName);
            }
        }

        #endregion
        #region 종료 메뉴 항목 클릭시 처리하기 - exitMenuItem_Click(sender, e)

        /// <summary>
        /// 종료 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void exitMenuItem_Click(object sender, EventArgs e)
        {
            Close();
        }

        #endregion

        #region No Smoothing 메뉴 항목 클릭시 처리하기 - noSmoothingMenuItem_Click(sender, e)

        /// <summary>
        /// No Smoothing 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void noSmoothingMenuItem_Click(object sender, EventArgs e)
        {
            SelectSmoothing(sender, SmoothingType.None);
        }

        #endregion
        #region Smooth 1 메뉴 항목 클릭시 처리하기 - smooth1MenuItem_Click(sender, e)

        /// <summary>
        /// Smooth 1 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void smooth1MenuItem_Click(object sender, EventArgs e)
        {
            SelectSmoothing(sender, SmoothingType.Smooth1);
        }

        #endregion
        #region Smooth 2 메뉴 항목 클릭시 처리하기 - smooth2MenuItem_Click(sender, e)

        /// <summary>
        /// Smooth 2 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void smooth2MenuItem_Click(object sender, EventArgs e)
        {
            SelectSmoothing(sender, SmoothingType.Smooth2);
        }

        #endregion

        #region 다시 그리기 메뉴 항목 클릭시 처리하기 - redrawMenuItem_Click(sender, e)

        /// <summary>
        /// 다시 그리기 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void redrawMenuItem_Click(object sender, EventArgs e)
        {
            DrawFractal();
        }

        #endregion
        #region 2배 확대 메뉴 항목 클릭시 처리하기 - scaleOutX2MenuItem_Click(sender, e)

        /// <summary>
        /// 2배 확대 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void scaleOutX2MenuItem_Click(object sender, EventArgs e)
        {
            ScaleOut(2);
        }

        #endregion
        #region 4배 확대 메뉴 항목 클릭시 처리하기 - scaleOutX4MenuItem_Click(sender, e)

        /// <summary>
        /// 4배 확대 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void scaleOutX4MenuItem_Click(object sender, EventArgs e)
        {
            ScaleOut(4);
        }

        #endregion
        #region 8배 확대 메뉴 항목 클릭시 처리하기 - scaleOutX8MenuItem_Click(sender, e)

        /// <summary>
        /// 8배 확대 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void scaleOutX8MenuItem_Click(object sender, EventArgs e)
        {
            ScaleOut(8);
        }

        #endregion
        #region 전체 스케일 메뉴 항목 클릭시 처리하기 - fullScaleMenuItem_Click(sender, e)

        /// <summary>
        /// 전체 스케일 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void fullScaleMenuItem_Click(object sender, EventArgs e)
        {
            this.worldBoundRectangle = this.testBoundRectangle;

            DrawFractal();
        }

        #endregion
        #region 선택 영역 입력 메뉴 항목 클릭시 처리하기 - enterSelectedAreaMenuItem_Click(sender, e)

        /// <summary>
        /// 선택 영역 입력 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void enterSelectedAreaMenuItem_Click(object sender, EventArgs e)
        {
            InputForm form = new InputForm();

            form.Text              = "선택 영역";
            form.captionLabel.Text = "최소X, 최소Y, 최대X, 최대Y";
            form.valueTextBox.Text = string.Format
            (
                "{0}, {1}, {2}, {3}",
                this.worldBoundRectangle.Left,
                this.worldBoundRectangle.Top,
                this.worldBoundRectangle.Right,
                this.worldBoundRectangle.Bottom
            );

            if(form.ShowDialog() == DialogResult.OK)
            {
                string[] fieldArray = form.valueTextBox.Text.Split(',');

                float minimumX = float.Parse(fieldArray[0]);
                float minimumY = float.Parse(fieldArray[1]);
                float maximumX = float.Parse(fieldArray[2]);
                float maximumY = float.Parse(fieldArray[3]);

                this.worldBoundRectangle = new RectangleF
                (
                    minimumX,
                    minimumY,
                    maximumX - minimumX,
                    maximumY - minimumY
                );

                DrawFractal();
            }
        }

        #endregion

        #region 픽처 박스 페인트시 처리하기 - pictureBox_Paint(sender, e)

        /// <summary>
        /// 픽처 박스 페인트시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void pictureBox_Paint(object sender, PaintEventArgs e)
        {
            if(this.selectingArea)
            {
                e.Graphics.DrawDashedBox(Color.Red, Color.Yellow, 2, 5, this.startPoint, this.endPoint);
            }
        }

        #endregion
        #region 픽처 박스 마우스 DOWN 처리하기 - pictureBox_MouseDown(sender, e)

        /// <summary>
        /// 픽처 박스 마우스 DOWN 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void pictureBox_MouseDown(object sender, MouseEventArgs e)
        {
            this.startPoint = e.Location;
            this.endPoint   = e.Location;

            this.pictureBox.MouseMove += pictureBox_MouseMove;
            this.pictureBox.MouseUp   += pictureBox_MouseUp;

            this.selectingArea = true;

            this.pictureBox.Refresh();
        }

        #endregion
        #region 픽처 박스 마우스 이동시 처리하기 - pictureBox_MouseMove(sender, e)

        /// <summary>
        /// 픽처 박스 마우스 이동시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void pictureBox_MouseMove(object sender, MouseEventArgs e)
        {
            this.endPoint = e.Location;

            this.pictureBox.Refresh();
        }

        #endregion
        #region 픽처 박스 마우스 UP 처리하기 - pictureBox_MouseUp(sender, e)

        /// <summary>
        /// 픽처 박스 마우스 UP 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void pictureBox_MouseUp(object sender, MouseEventArgs e)
        {
            this.selectingArea = false;

            this.pictureBox.MouseMove -= pictureBox_MouseMove;
            this.pictureBox.MouseUp   -= pictureBox_MouseUp;

            PointF startWorldPoint = GetWorldPoint(this.startPoint);
            PointF endWorldPoint   = GetWorldPoint(this.endPoint  );

            SetWorldBoundRectangle(startWorldPoint.ToRectangle(endWorldPoint));
        }

        #endregion

        #region Mandelbrot Set 메뉴 항목 클릭시 처리하기 - mandelbrotSetMenuItem_Click(sender, e)

        /// <summary>
        /// Mandelbrot Set 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void mandelbrotSetMenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "0";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + x + y * i";

            DrawFractal();
        }

        #endregion
        #region Julia Set Basic 메뉴 항목 클릭시 처리하기 - juliaSetBasicMenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set Basic 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSetBasicMenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) - i";

            DrawFractal();
        }

        #endregion
        #region Julia Set 1 메뉴 항목 클릭시 처리하기 - juliaSet1MenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set 1 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSet1MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.4 + 0.6 * i)";

            DrawFractal();
        }

        #endregion
        #region Julia Set 2 메뉴 항목 클릭시 처리하기 - juliaSet2MenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set 2 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSet2MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + (0.285 + 0 * i)";

            DrawFractal();
        }

        #endregion
        #region Julia Set 3 메뉴 항목 클릭시 처리하기 - juliaSet3MenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set 3 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSet3MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + (0.285 + 0.01 * i)";

            DrawFractal();
        }

        #endregion
        #region Julia Set 4 메뉴 항목 클릭시 처리하기 - juliaSet4MenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set 4 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSet4MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + (0.45 + 0.1428 * i)";

            DrawFractal();
        }

        #endregion
        #region Julia Set 5 메뉴 항목 클릭시 처리하기 - juliaSet5MenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set 5 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSet5MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.70176 - 0.3842 * i)";

            DrawFractal();
        }

        #endregion
        #region Julia Set 6 메뉴 항목 클릭시 처리하기 - juliaSet6MenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set 6 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSet6MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.835 - 0.2321 * i)";

            DrawFractal();
        }

        #endregion
        #region Julia Set 7 메뉴 항목 클릭시 처리하기 - juliaSet7MenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set 7 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSet7MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.8 + 0.156 * i)";

            DrawFractal();
        }

        #endregion
        #region Julia Set 8 메뉴 항목 클릭시 처리하기 - juliaSet8MenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set 8 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSet8MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.7269 + 0.1889 * i)";

            DrawFractal();
        }

        #endregion
        #region Julia Set 9 메뉴 항목 클릭시 처리하기 - juliaSet9MenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set 9 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSet9MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + (0.0 - 0.8 * i)";

            DrawFractal();
        }

        #endregion
        #region Julia Set 10 메뉴 항목 클릭시 처리하기 - juliaSet10MenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set 10 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSet10MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.74543 + 0.11301 * i)";

            DrawFractal();
        }

        #endregion
        #region Julia Set 11 메뉴 항목 클릭시 처리하기 - juliaSet11MenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set 11 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSet11MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.75 + 0.11 * i)";

            DrawFractal();
        }

        #endregion
        #region Julia Set 12 메뉴 항목 클릭시 처리하기 - juliaSet12MenuItem_Click(sender, e)

        /// <summary>
        /// Julia Set 12 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaSet12MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.1 + 0.651 * i)";

            DrawFractal();
        }

        #endregion
        #region Juliaish Set 1 메뉴 항목 클릭시 처리하기 - juliaishSet1MenuItem_Click(sender, e)

        /// <summary>
        /// Juliaish Set 1 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaishSet1MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "(1 - Zn.GetPower(3) / 6) / (Zn - Zn.GetPower(2) / 2).GetPower(2) + 0.15";

            DrawFractal();
        }

        #endregion
        #region Juliaish Set 2 메뉴 항목 클릭시 처리하기 - juliaishSet2MenuItem_Click(sender, e)

        /// <summary>
        /// Juliaish Set 2 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaishSet2MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "1 - Zn.GetPower(2) + Zn.GetPower(5) / (2 + 4 * Zn)";

            DrawFractal();
        }

        #endregion
        #region Juliaish Set 3 메뉴 항목 클릭시 처리하기 - juliaishSet3MenuItem_Click(sender, e)

        /// <summary>
        /// Juliaish Set 3 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaishSet3MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "(1 - Zn.GetPower(2) + Zn.GetPower(5)) / (2 + 4 * Zn)";

            DrawFractal();
        }

        #endregion
        #region Juliaish Set 4 메뉴 항목 클릭시 처리하기 - juliaishSet4MenuItem_Click(sender, e)

        /// <summary>
        /// Juliaish Set 4 메뉴 항목 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void juliaishSet4MenuItem_Click(object sender, EventArgs e)
        {
            this.z0TextBox.Text      = "x + y * i";
            this.znPlus1TextBox.Text = "1 - Zn.GetPower(2) + Zn.GetPower(5) / (2 + 4 * Zn) + 0.2";

            DrawFractal();
        }

        #endregion
        #region 그리기 버튼 클릭시 처리하기 - drawButton_Click(sender, e)

        /// <summary>
        /// 그리기 버튼 클릭시 처리하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="e">이벤트 인자</param>
        private void drawButton_Click(object sender, EventArgs e)
        {
            DrawFractal();
        }

        #endregion

        ////////////////////////////////////////////////////////////////////////////////////////// Function
        //////////////////////////////////////////////////////////////////////////////// Private

        #region 테두리 사각형 조정하기 - AdjustBoundRectangle()

        /// <summary>
        /// 테두리 사각형 조정하기
        /// </summary>
        private void AdjustBoundRectangle()
        {
            float worldWidth  = this.worldBoundRectangle.Width;
            float worldHeight = this.worldBoundRectangle.Height;

            float worldAspectRatio   = worldWidth / worldHeight;
            float deviceAspectRation = (float)this.pictureBox.ClientSize.Width / (float)this.pictureBox.ClientSize.Height;

            if(worldAspectRatio > deviceAspectRation)
            {
                worldHeight = worldWidth / deviceAspectRation;
            }
            else
            {
                worldWidth = worldHeight * deviceAspectRation;
            }

            float centerX = this.worldBoundRectangle.X + this.worldBoundRectangle.Width  / 2f;
            float centerY = this.worldBoundRectangle.Y + this.worldBoundRectangle.Height / 2f;

            this.worldBoundRectangle = new RectangleF
            (
                centerX - worldWidth  / 2f,
                centerY - worldHeight / 2f,
                worldWidth,
                worldHeight
            );
        }

        #endregion
        #region 월드 테두리 사각형 설정하기 - SetWorldBoundRectangle(boundRectangle)

        /// <summary>
        /// 월드 테두리 사각형 설정하기
        /// </summary>
        /// <param name="boundRectangle">테두리 사각형</param>
        private void SetWorldBoundRectangle(RectangleF boundRectangle)
        {
            this.worldBoundRectangle = boundRectangle;

            AdjustBoundRectangle();

            DrawFractal();
        }

        #endregion

        #region 장치 포인트 구하기 - GetDevicePoint(worldPoint)

        /// <summary>
        /// 장치 포인트 구하기
        /// </summary>
        /// <param name="worldPoint">월드 포인트</param>
        /// <returns>장치 포인트</returns>
        private PointF GetDevicePoint(PointF worldPoint)
        {
            float scaleX = (worldPoint.X - this.worldBoundRectangle.X) / this.worldBoundRectangle.Width;
            float scaleY = (worldPoint.Y - this.worldBoundRectangle.Y) / this.worldBoundRectangle.Height;

            float x = 0 + scaleX * this.pictureBox.ClientSize.Width;
            float y = 0 + scaleY * this.pictureBox.ClientSize.Height;

            return new PointF(x, y);
        }

        #endregion
        #region 월드 포인트 구하기 - GetWorldPoint(devicePoint)

        /// <summary>
        /// 월드 포인트 구하기
        /// </summary>
        /// <param name="devicePoint">장치 포인트</param>
        /// <returns>월드 포인트</returns>
        private PointF GetWorldPoint(PointF devicePoint)
        {
            float scaleX = (devicePoint.X - 0) / this.pictureBox.ClientSize.Width;
            float scaleY = (devicePoint.Y - 0) / this.pictureBox.ClientSize.Height;

            float x = this.worldBoundRectangle.X + scaleX * this.worldBoundRectangle.Width;
            float y = this.worldBoundRectangle.Y + scaleY * this.worldBoundRectangle.Height;

            return new PointF(x, y);
        }

        #endregion

        #region 메뉴 항목 선택하기 - SelectMenuItem(sender, menuItemArray)

        /// <summary>
        /// 메뉴 항목 선택하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="menuItemArray">메뉴 항목 배열</param>
        private void SelectMenuItem(object sender, ToolStripMenuItem[] menuItemArray)
        {
            ToolStripMenuItem selectedMenuItem = sender as ToolStripMenuItem;

            foreach(ToolStripMenuItem menuItem in menuItemArray)
            {
                menuItem.Checked = (menuItem == selectedMenuItem);
            }
        }

        #endregion
        #region 스무딩 선택하기 - SelectSmoothing(sender, smoothingType)

        /// <summary>
        /// 스무딩 선택하기
        /// </summary>
        /// <param name="sender">이벤트 발생자</param>
        /// <param name="smoothingType">스무딩 타입</param>
        private void SelectSmoothing(object sender, SmoothingType smoothingType)
        {
            ToolStripMenuItem[] menuItemArray =
            {
                this.noSmoothingMenuItem,
                this.smooth1MenuItem,
                this.smooth2MenuItem,
            };

            SelectMenuItem(sender, menuItemArray);

            this.smoothingType = smoothingType;

            DrawFractal();
        }

        #endregion
        #region 확대하기 - ScaleOut(scale)

        /// <summary>
        /// 확대하기
        /// </summary>
        /// <param name="scale">스케일</param>
        private void ScaleOut(float scale)
        {
            float centerX = this.worldBoundRectangle.X + this.worldBoundRectangle.Width  / 2f;
            float centerY = this.worldBoundRectangle.Y + this.worldBoundRectangle.Height / 2f;

            float width  = this.worldBoundRectangle.Width  * scale;
            float height = this.worldBoundRectangle.Height * scale;

            this.worldBoundRectangle = new RectangleF
            (
                centerX - width / 2,
                centerY - height / 2,
                width,
                height
            );

            DrawFractal();
        }

        #endregion

        #region 메소드 정보 구하기 - GetMethodInfo(maximumStep, maximumMagnitude, z0, zn1)

        /// <summary>
        /// 메소드 정보 구하기
        /// </summary>
        /// <param name="maximumStep">최대 단계</param>
        /// <param name="maximumMagnitude">최대 크기</param>
        /// <param name="z0">Z0</param>
        /// <param name="znPlus1">Zn + 1</param>
        /// <returns>메소드 정보</returns>
        private MethodInfo GetMethodInfo(string maximumStep, string maximumMagnitude, string z0, string znPlus1)
        {
            string functionText = @"
using TestProject;

public static class Evaluator
{
    public static PointInfo EvaluatePoint(float x, float y)
    {
        Complex i = new Complex(0, 1);
        Complex Zn = " + z0 + @";
        int step_num;
        for (step_num = 0; step_num < " + maximumStep + @"; step_num++)
        {
            if (Zn.Magnitude > " + maximumMagnitude + @") break;

            // Calculate Zn+1.
            Complex ZnPlus1 = " + znPlus1 + @";
            Zn = ZnPlus1;
        }
        return new PointInfo(Zn, step_num);
    }
};";

            CompilerParameters parameters = new CompilerParameters();

            parameters.GenerateInMemory   = true;
            parameters.GenerateExecutable = false;

            parameters.ReferencedAssemblies.Add(Assembly.GetExecutingAssembly().Location);

            CSharpCodeProvider codeProvider = new CSharpCodeProvider();

            CompilerResults results = codeProvider.CompileAssemblyFromSource(parameters, functionText);

            if(results.Errors.Count > 0)
            {
                string message = "Error compiling the function.";

                foreach(CompilerError compilerError in results.Errors)
                {
                    message += "\n" + compilerError.ErrorText;
                }

                MessageBox.Show(message, "ERROR", MessageBoxButtons.OK, MessageBoxIcon.Error);

                return null;
            }
            else
            {
                Type evaluatorType = results.CompiledAssembly.GetType("Evaluator");

                MethodInfo methodInfo = evaluatorType.GetMethod("EvaluatePoint");

                return methodInfo;
            }
        }

        #endregion
        #region 색상 구하기 - GetColor(mu)

        /// <summary>
        /// 색상 구하기
        /// </summary>
        /// <param name="mu">MU</param>
        /// <returns>색상</returns>
        private Color GetColor(double mu)
        {
            int color1 = (int)mu;

            double t2 = mu - color1;
            double t1 = 1 - t2;

            color1 = color1 % this.colorCount;

            int color2 = (color1 + 1) % this.colorCount;

            double red   = this.fractalColorArray[color1].R * t1 + this.fractalColorArray[color2].R * t2;
            double green = this.fractalColorArray[color1].G * t1 + this.fractalColorArray[color2].G * t2;
            double blue  = this.fractalColorArray[color1].B * t1 + this.fractalColorArray[color2].B * t2;

            return Color.FromArgb((byte)red, (byte)green, (byte)blue);
        }

        #endregion
        #region 스무스 망델브로 색상 구하기 - GetSmoothMandelbrotColor(z, c, stepNumber)

        /// <summary>
        /// 스무스 망델브로 색상 구하기
        /// </summary>
        /// <param name="z">복소수 Z</param>
        /// <param name="c">복소수 C</param>
        /// <param name="stepNumber">단계 번호</param>
        /// <returns>스무스 망델브로 색상</returns>
        private Color GetSmoothMandelbrotColor(Complex z, Complex c, int stepNumber)
        {
            if(stepNumber == 0)
            {
                return this.fractalColorArray[0];
            }

            for(int i = 0; i < 3; i++)
            {
                z = z * z + c;

                stepNumber++;
            }

            double mu = stepNumber + 1 - Math.Log(Math.Log(z.Magnitude)) / this.logEscape;

            if(this.smoothingType == SmoothingType.Smooth2)
            {
                mu = mu / this.maximumIterationCount * this.colorCount;
            }

            return GetColor(mu);
        }

        #endregion
        #region 픽셀 색상 설정하기 - SetPixelColor(bitmapHelper, indexX, indexY, methodInfo, z, stepNumber)

        /// <summary>
        /// 픽셀 색상 설정하기
        /// </summary>
        /// <param name="bitmapHelper">비트맵 헬퍼</param>
        /// <param name="indexX">인덱스 X</param>
        /// <param name="indexY">인덱스 Y</param>
        /// <param name="methodInfo">메소드 정보</param>
        /// <param name="z">복소수 Z</param>
        /// <param name="stepNumber">단계 번호</param>
        private void SetPixelColor(BitmapHelper bitmapHelper, int indexX, int indexY, MethodInfo methodInfo, Complex z, int stepNumber)
        {
            if(stepNumber >= this.maximumIterationCount)
            {
                stepNumber = 0;
            }

            Color color;

            if(this.smoothingType == SmoothingType.None)
            {
                color = this.fractalColorArray[stepNumber % this.colorCount];
            }
            else
            {
                color = GetSmoothMandelbrotColor(z, new Complex(), stepNumber);
            }

            bitmapHelper.SetPixel(indexX, indexY, color.R, color.G, color.B, 255);
        }

        #endregion
        #region 프랙탈 그리기 - DrawFractal(minimumX, minimumY, deltaX, deltaY, width, height)

        /// <summary>
        /// 프랙탈 그리기
        /// </summary>
        /// <param name="minimumX">최소 X</param>
        /// <param name="minimumY">최소 Y</param>
        /// <param name="deltaX">델타 X</param>
        /// <param name="deltaY">델타 Y</param>
        /// <param name="width">너비</param>
        /// <param name="height">높이</param>
        /// <returns>비트맵</returns>
        private Bitmap DrawFractal(float minimumX, float minimumY, float deltaX, float deltaY, int width, int height)
        {
            MethodInfo methodInfo = GetMethodInfo
            (
                this.maximumStepTextBox.Text,
                this.maximumMagnitudeTextBox.Text,
                this.z0TextBox.Text,
                this.znPlus1TextBox.Text
            );

            if(methodInfo == null)
            {
                return null;
            }

            Bitmap bitmap = new Bitmap(width, height);

            BitmapHelper bitmapHelper = new BitmapHelper(bitmap);

            bitmapHelper.LockBitmap();

            object[] methodParameterArray = new object[2];

            float y = minimumY;

            for(int indexY = 0; indexY < bitmapHelper.Height; indexY++)
            {
                float x = minimumX;

                for(int indexX = 0; indexX < bitmapHelper.Width; indexX++)
                {
                    methodParameterArray[0] = x;
                    methodParameterArray[1] = y;

                    PointInfo pointInfo = (PointInfo)methodInfo.Invoke(null, methodParameterArray);

                    SetPixelColor(bitmapHelper, indexX, indexY, methodInfo, pointInfo.Z, pointInfo.StepNumber);

                    x += deltaX;
                }

                y += deltaY;
            }

            bitmapHelper.UnlockBitmap();

            return bitmap;
        }

        #endregion
        #region 프랙탈 그리기 - DrawFractal()

        /// <summary>
        /// 프랙탈 그리기
        /// </summary>
        private void DrawFractal()
        {
            this.pictureBox.Image = null;

            this.pictureBox.Refresh();

            Cursor = Cursors.WaitCursor;

            AdjustBoundRectangle();

            float deltaX = this.worldBoundRectangle.Width  / this.pictureBox.ClientRectangle.Width;
            float deltaY = this.worldBoundRectangle.Height / this.pictureBox.ClientRectangle.Height;

            float minimumX = this.worldBoundRectangle.X;
            float minimumY = this.worldBoundRectangle.Y;

            string z0       = this.z0TextBox.Text;
            string equation = this.znPlus1TextBox.Text;

            int width  = this.pictureBox.ClientSize.Width;
            int height = this.pictureBox.ClientSize.Height;

            Bitmap bitmap = DrawFractal(minimumX, minimumY, deltaX, deltaY, width, height);

            this.pictureBox.Image = bitmap;

            Cursor = Cursors.Default;
        }

        #endregion
    }
}

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using System;

using System.CodeDom.Compiler;

using System.Drawing;

using System.Reflection;

using System.Windows.Forms;

using Microsoft.CSharp;

namespace TestProject

{

/// <summary>

/// 메인 폼

/// </summary>

public partial class MainForm : Form

{

//////////////////////////////////////////////////////////////////////////////////////////////////// Enumeration

////////////////////////////////////////////////////////////////////////////////////////// Private

#region 스무딩 타입 - SmoothingType

/// <summary>

/// 스무딩 타입

/// </summary>

private enum SmoothingType

{

/// <summary>

/// None

/// </summary>

None,

/// <summary>

/// Smooth1

/// </summary>

Smooth1,

/// <summary>

/// Smooth2

/// </summary>

Smooth2,

}

#endregion

//////////////////////////////////////////////////////////////////////////////////////////////////// Field

////////////////////////////////////////////////////////////////////////////////////////// Private

#region Field

/// <summary>

/// 프랙탈 색상 배열

/// </summary>

private Color[] fractalColorArray =

{

Color.Black,

Color.Red,

Color.Orange,

Color.Yellow,

Color.Green,

Color.Cyan,

Color.Blue,

Color.Fuchsia

};

/// <summary>

/// 색상 카운트

/// </summary>

private int colorCount = 0;

/// <summary>

/// 스무딩 타입

/// </summary>

private SmoothingType smoothingType = SmoothingType.None;

/// <summary>

/// 최대 크기

/// </summary>

private int maximumMagnitude;

/// <summary>

/// 최대 반복 카운트

/// </summary>

private int maximumIterationCount;

/// <summary>

/// 로그 단위 탈출 기준

/// </summary>

private double logEscape;

/// <summary>

/// 테스트 테두리 사각형

/// </summary>

private RectangleF testBoundRectangle = RectangleF.FromLTRB(-2.2f, -2.0f, 2.2f, 2.0f);

/// <summary>

/// 월드 테두리 사각형

/// </summary>

private RectangleF worldBoundRectangle;

/// <summary>

/// 시작 포인트

/// </summary>

private Point startPoint;

/// <summary>

/// 종료 포인트

/// </summary>

private Point endPoint;

/// <summary>

/// 영역 선택 여부

/// </summary>

private bool selectingArea = false;

#endregion

//////////////////////////////////////////////////////////////////////////////////////////////////// Constructor

////////////////////////////////////////////////////////////////////////////////////////// Public

#region 생성자 - MainForm()

/// <summary>

/// 생성자

/// </summary>

public MainForm()

{

InitializeComponent();

Load += Form_Load;

this.drawButton.Click += drawButton_Click;

this.saveFileAsMenuItem.Click += saveFileAsMenuItem_Click;

this.exitMenuItem.Click += exitMenuItem_Click;

this.noSmoothingMenuItem.Click += noSmoothingMenuItem_Click;

this.smooth1MenuItem.Click += smooth1MenuItem_Click;

this.smooth2MenuItem.Click += smooth2MenuItem_Click;

this.redrawMenuItem.Click += redrawMenuItem_Click;

this.scaleOutX2MenuItem.Click += scaleOutX2MenuItem_Click;

this.scaleOutX4MenuItem.Click += scaleOutX4MenuItem_Click;

this.scaleOutX8MenuItem.Click += scaleOutX8MenuItem_Click;

this.fullScaleMenuItem.Click += fullScaleMenuItem_Click;

this.enterSelectedAreaMenuItem.Click += enterSelectedAreaMenuItem_Click;

this.mandelbrotSetMenuItem.Click += mandelbrotSetMenuItem_Click;

this.juliaSetBasicMenuItem.Click += juliaSetBasicMenuItem_Click;

this.juliaSet1MenuItem.Click += juliaSet1MenuItem_Click;

this.juliaSet2MenuItem.Click += juliaSet2MenuItem_Click;

this.juliaSet3MenuItem.Click += juliaSet3MenuItem_Click;

this.juliaSet4MenuItem.Click += juliaSet4MenuItem_Click;

this.juliaSet5MenuItem.Click += juliaSet5MenuItem_Click;

this.juliaSet6MenuItem.Click += juliaSet6MenuItem_Click;

this.juliaSet7MenuItem.Click += juliaSet7MenuItem_Click;

this.juliaSet8MenuItem.Click += juliaSet8MenuItem_Click;

this.juliaSet9MenuItem.Click += juliaSet9MenuItem_Click;

this.juliaSet10MenuItem.Click += juliaSet10MenuItem_Click;

this.juliaSet11MenuItem.Click += juliaSet11MenuItem_Click;

this.juliaSet12MenuItem.Click += juliaSet12MenuItem_Click;

this.juliaishSet1MenuItem.Click += juliaishSet1MenuItem_Click;

this.juliaishSet2MenuItem.Click += juliaishSet2MenuItem_Click;

this.juliaishSet3MenuItem.Click += juliaishSet3MenuItem_Click;

this.juliaishSet4MenuItem.Click += juliaishSet4MenuItem_Click;

this.pictureBox.Paint += pictureBox_Paint;

this.pictureBox.MouseDown += pictureBox_MouseDown;

}

#endregion

//////////////////////////////////////////////////////////////////////////////////////////////////// Method

////////////////////////////////////////////////////////////////////////////////////////// Event

//////////////////////////////////////////////////////////////////////////////// Private

#region 폼 로드시 처리하기 - Form_Load(sender, e)

/// <summary>

/// 폼 로드시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void Form_Load(object sender, EventArgs e)

{

this.pictureBox.Cursor = Cursors.Cross;

this.colorCount = this.fractalColorArray.Length;

this.maximumMagnitude = 2;

this.maximumIterationCount = 64;

this.logEscape = Math.Log(this.maximumMagnitude);

SetWorldBoundRectangle(this.testBoundRectangle);

this.pictureBox.Refresh();

}

#endregion

#region 다른 이름으로 저장하기 메뉴 항목 클릭시 처리하기 - saveFileAsMenuItem_Click(sender, e)

/// <summary>

/// 다른 이름으로 저장하기 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void saveFileAsMenuItem_Click(object sender, EventArgs e)

{

if(this.pictureBox.Image == null)

{

return;

}

if(this.saveFileDialog.ShowDialog() == DialogResult.OK)

{

this.pictureBox.Image.SaveImage(this.saveFileDialog.FileName);

}

#endregion

#region 종료 메뉴 항목 클릭시 처리하기 - exitMenuItem_Click(sender, e)

/// <summary>

/// 종료 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void exitMenuItem_Click(object sender, EventArgs e)

{

Close();

}

#endregion

#region No Smoothing 메뉴 항목 클릭시 처리하기 - noSmoothingMenuItem_Click(sender, e)

/// <summary>

/// No Smoothing 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void noSmoothingMenuItem_Click(object sender, EventArgs e)

{

SelectSmoothing(sender, SmoothingType.None);

}

#endregion

#region Smooth 1 메뉴 항목 클릭시 처리하기 - smooth1MenuItem_Click(sender, e)

/// <summary>

/// Smooth 1 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void smooth1MenuItem_Click(object sender, EventArgs e)

{

SelectSmoothing(sender, SmoothingType.Smooth1);

}

#endregion

#region Smooth 2 메뉴 항목 클릭시 처리하기 - smooth2MenuItem_Click(sender, e)

/// <summary>

/// Smooth 2 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void smooth2MenuItem_Click(object sender, EventArgs e)

{

SelectSmoothing(sender, SmoothingType.Smooth2);

}

#endregion

#region 다시 그리기 메뉴 항목 클릭시 처리하기 - redrawMenuItem_Click(sender, e)

/// <summary>

/// 다시 그리기 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void redrawMenuItem_Click(object sender, EventArgs e)

{

DrawFractal();

}

#endregion

#region 2배 확대 메뉴 항목 클릭시 처리하기 - scaleOutX2MenuItem_Click(sender, e)

/// <summary>

/// 2배 확대 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void scaleOutX2MenuItem_Click(object sender, EventArgs e)

{

ScaleOut(2);

}

#endregion

#region 4배 확대 메뉴 항목 클릭시 처리하기 - scaleOutX4MenuItem_Click(sender, e)

/// <summary>

/// 4배 확대 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void scaleOutX4MenuItem_Click(object sender, EventArgs e)

{

ScaleOut(4);

}

#endregion

#region 8배 확대 메뉴 항목 클릭시 처리하기 - scaleOutX8MenuItem_Click(sender, e)

/// <summary>

/// 8배 확대 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void scaleOutX8MenuItem_Click(object sender, EventArgs e)

{

ScaleOut(8);

}

#endregion

#region 전체 스케일 메뉴 항목 클릭시 처리하기 - fullScaleMenuItem_Click(sender, e)

/// <summary>

/// 전체 스케일 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void fullScaleMenuItem_Click(object sender, EventArgs e)

{

this.worldBoundRectangle = this.testBoundRectangle;

DrawFractal();

}

#endregion

#region 선택 영역 입력 메뉴 항목 클릭시 처리하기 - enterSelectedAreaMenuItem_Click(sender, e)

/// <summary>

/// 선택 영역 입력 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void enterSelectedAreaMenuItem_Click(object sender, EventArgs e)

{

InputForm form = new InputForm();

form.Text = "선택 영역";

form.captionLabel.Text = "최소X, 최소Y, 최대X, 최대Y";

form.valueTextBox.Text = string.Format

(

"{0}, {1}, {2}, {3}",

this.worldBoundRectangle.Left,

this.worldBoundRectangle.Top,

this.worldBoundRectangle.Right,

this.worldBoundRectangle.Bottom

);

if(form.ShowDialog() == DialogResult.OK)

{

string[] fieldArray = form.valueTextBox.Text.Split(',');

float minimumX = float.Parse(fieldArray[0]);

float minimumY = float.Parse(fieldArray[1]);

float maximumX = float.Parse(fieldArray[2]);

float maximumY = float.Parse(fieldArray[3]);

this.worldBoundRectangle = new RectangleF

(

minimumX,

minimumY,

maximumX - minimumX,

maximumY - minimumY

);

DrawFractal();

}

#endregion

#region 픽처 박스 페인트시 처리하기 - pictureBox_Paint(sender, e)

/// <summary>

/// 픽처 박스 페인트시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void pictureBox_Paint(object sender, PaintEventArgs e)

{

if(this.selectingArea)

{

e.Graphics.DrawDashedBox(Color.Red, Color.Yellow, 2, 5, this.startPoint, this.endPoint);

}

#endregion

#region 픽처 박스 마우스 DOWN 처리하기 - pictureBox_MouseDown(sender, e)

/// <summary>

/// 픽처 박스 마우스 DOWN 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void pictureBox_MouseDown(object sender, MouseEventArgs e)

{

this.startPoint = e.Location;

this.endPoint = e.Location;

this.pictureBox.MouseMove += pictureBox_MouseMove;

this.pictureBox.MouseUp += pictureBox_MouseUp;

this.selectingArea = true;

this.pictureBox.Refresh();

}

#endregion

#region 픽처 박스 마우스 이동시 처리하기 - pictureBox_MouseMove(sender, e)

/// <summary>

/// 픽처 박스 마우스 이동시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void pictureBox_MouseMove(object sender, MouseEventArgs e)

{

this.endPoint = e.Location;

this.pictureBox.Refresh();

}

#endregion

#region 픽처 박스 마우스 UP 처리하기 - pictureBox_MouseUp(sender, e)

/// <summary>

/// 픽처 박스 마우스 UP 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void pictureBox_MouseUp(object sender, MouseEventArgs e)

{

this.selectingArea = false;

this.pictureBox.MouseMove -= pictureBox_MouseMove;

this.pictureBox.MouseUp -= pictureBox_MouseUp;

PointF startWorldPoint = GetWorldPoint(this.startPoint);

PointF endWorldPoint = GetWorldPoint(this.endPoint );

SetWorldBoundRectangle(startWorldPoint.ToRectangle(endWorldPoint));

}

#endregion

#region Mandelbrot Set 메뉴 항목 클릭시 처리하기 - mandelbrotSetMenuItem_Click(sender, e)

/// <summary>

/// Mandelbrot Set 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void mandelbrotSetMenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "0";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + x + y * i";

DrawFractal();

}

#endregion

#region Julia Set Basic 메뉴 항목 클릭시 처리하기 - juliaSetBasicMenuItem_Click(sender, e)

/// <summary>

/// Julia Set Basic 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSetBasicMenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) - i";

DrawFractal();

}

#endregion

#region Julia Set 1 메뉴 항목 클릭시 처리하기 - juliaSet1MenuItem_Click(sender, e)

/// <summary>

/// Julia Set 1 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSet1MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.4 + 0.6 * i)";

DrawFractal();

}

#endregion

#region Julia Set 2 메뉴 항목 클릭시 처리하기 - juliaSet2MenuItem_Click(sender, e)

/// <summary>

/// Julia Set 2 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSet2MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + (0.285 + 0 * i)";

DrawFractal();

}

#endregion

#region Julia Set 3 메뉴 항목 클릭시 처리하기 - juliaSet3MenuItem_Click(sender, e)

/// <summary>

/// Julia Set 3 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSet3MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + (0.285 + 0.01 * i)";

DrawFractal();

}

#endregion

#region Julia Set 4 메뉴 항목 클릭시 처리하기 - juliaSet4MenuItem_Click(sender, e)

/// <summary>

/// Julia Set 4 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSet4MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + (0.45 + 0.1428 * i)";

DrawFractal();

}

#endregion

#region Julia Set 5 메뉴 항목 클릭시 처리하기 - juliaSet5MenuItem_Click(sender, e)

/// <summary>

/// Julia Set 5 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSet5MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.70176 - 0.3842 * i)";

DrawFractal();

}

#endregion

#region Julia Set 6 메뉴 항목 클릭시 처리하기 - juliaSet6MenuItem_Click(sender, e)

/// <summary>

/// Julia Set 6 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSet6MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.835 - 0.2321 * i)";

DrawFractal();

}

#endregion

#region Julia Set 7 메뉴 항목 클릭시 처리하기 - juliaSet7MenuItem_Click(sender, e)

/// <summary>

/// Julia Set 7 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSet7MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.8 + 0.156 * i)";

DrawFractal();

}

#endregion

#region Julia Set 8 메뉴 항목 클릭시 처리하기 - juliaSet8MenuItem_Click(sender, e)

/// <summary>

/// Julia Set 8 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSet8MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.7269 + 0.1889 * i)";

DrawFractal();

}

#endregion

#region Julia Set 9 메뉴 항목 클릭시 처리하기 - juliaSet9MenuItem_Click(sender, e)

/// <summary>

/// Julia Set 9 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSet9MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + (0.0 - 0.8 * i)";

DrawFractal();

}

#endregion

#region Julia Set 10 메뉴 항목 클릭시 처리하기 - juliaSet10MenuItem_Click(sender, e)

/// <summary>

/// Julia Set 10 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSet10MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.74543 + 0.11301 * i)";

DrawFractal();

}

#endregion

#region Julia Set 11 메뉴 항목 클릭시 처리하기 - juliaSet11MenuItem_Click(sender, e)

/// <summary>

/// Julia Set 11 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSet11MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.75 + 0.11 * i)";

DrawFractal();

}

#endregion

#region Julia Set 12 메뉴 항목 클릭시 처리하기 - juliaSet12MenuItem_Click(sender, e)

/// <summary>

/// Julia Set 12 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaSet12MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "Zn.GetPower(2) + (-0.1 + 0.651 * i)";

DrawFractal();

}

#endregion

#region Juliaish Set 1 메뉴 항목 클릭시 처리하기 - juliaishSet1MenuItem_Click(sender, e)

/// <summary>

/// Juliaish Set 1 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaishSet1MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "(1 - Zn.GetPower(3) / 6) / (Zn - Zn.GetPower(2) / 2).GetPower(2) + 0.15";

DrawFractal();

}

#endregion

#region Juliaish Set 2 메뉴 항목 클릭시 처리하기 - juliaishSet2MenuItem_Click(sender, e)

/// <summary>

/// Juliaish Set 2 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaishSet2MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "1 - Zn.GetPower(2) + Zn.GetPower(5) / (2 + 4 * Zn)";

DrawFractal();

}

#endregion

#region Juliaish Set 3 메뉴 항목 클릭시 처리하기 - juliaishSet3MenuItem_Click(sender, e)

/// <summary>

/// Juliaish Set 3 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaishSet3MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "(1 - Zn.GetPower(2) + Zn.GetPower(5)) / (2 + 4 * Zn)";

DrawFractal();

}

#endregion

#region Juliaish Set 4 메뉴 항목 클릭시 처리하기 - juliaishSet4MenuItem_Click(sender, e)

/// <summary>

/// Juliaish Set 4 메뉴 항목 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void juliaishSet4MenuItem_Click(object sender, EventArgs e)

{

this.z0TextBox.Text = "x + y * i";

this.znPlus1TextBox.Text = "1 - Zn.GetPower(2) + Zn.GetPower(5) / (2 + 4 * Zn) + 0.2";

DrawFractal();

}

#endregion

#region 그리기 버튼 클릭시 처리하기 - drawButton_Click(sender, e)

/// <summary>

/// 그리기 버튼 클릭시 처리하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="e">이벤트 인자</param>

private void drawButton_Click(object sender, EventArgs e)

{

DrawFractal();

}

#endregion

////////////////////////////////////////////////////////////////////////////////////////// Function

//////////////////////////////////////////////////////////////////////////////// Private

#region 테두리 사각형 조정하기 - AdjustBoundRectangle()

/// <summary>

/// 테두리 사각형 조정하기

/// </summary>

private void AdjustBoundRectangle()

{

float worldWidth = this.worldBoundRectangle.Width;

float worldHeight = this.worldBoundRectangle.Height;

float worldAspectRatio = worldWidth / worldHeight;

float deviceAspectRation = (float)this.pictureBox.ClientSize.Width / (float)this.pictureBox.ClientSize.Height;

if(worldAspectRatio > deviceAspectRation)

{

worldHeight = worldWidth / deviceAspectRation;

}

else

{

worldWidth = worldHeight * deviceAspectRation;

}

float centerX = this.worldBoundRectangle.X + this.worldBoundRectangle.Width / 2f;

float centerY = this.worldBoundRectangle.Y + this.worldBoundRectangle.Height / 2f;

this.worldBoundRectangle = new RectangleF

(

centerX - worldWidth / 2f,

centerY - worldHeight / 2f,

worldWidth,

worldHeight

);

}

#endregion

#region 월드 테두리 사각형 설정하기 - SetWorldBoundRectangle(boundRectangle)

/// <summary>

/// 월드 테두리 사각형 설정하기

/// </summary>

/// <param name="boundRectangle">테두리 사각형</param>

private void SetWorldBoundRectangle(RectangleF boundRectangle)

{

this.worldBoundRectangle = boundRectangle;

AdjustBoundRectangle();

DrawFractal();

}

#endregion

#region 장치 포인트 구하기 - GetDevicePoint(worldPoint)

/// <summary>

/// 장치 포인트 구하기

/// </summary>

/// <param name="worldPoint">월드 포인트</param>

/// <returns>장치 포인트</returns>

private PointF GetDevicePoint(PointF worldPoint)

{

float scaleX = (worldPoint.X - this.worldBoundRectangle.X) / this.worldBoundRectangle.Width;

float scaleY = (worldPoint.Y - this.worldBoundRectangle.Y) / this.worldBoundRectangle.Height;

float x = 0 + scaleX * this.pictureBox.ClientSize.Width;

float y = 0 + scaleY * this.pictureBox.ClientSize.Height;

return new PointF(x, y);

}

#endregion

#region 월드 포인트 구하기 - GetWorldPoint(devicePoint)

/// <summary>

/// 월드 포인트 구하기

/// </summary>

/// <param name="devicePoint">장치 포인트</param>

/// <returns>월드 포인트</returns>

private PointF GetWorldPoint(PointF devicePoint)

{

float scaleX = (devicePoint.X - 0) / this.pictureBox.ClientSize.Width;

float scaleY = (devicePoint.Y - 0) / this.pictureBox.ClientSize.Height;

float x = this.worldBoundRectangle.X + scaleX * this.worldBoundRectangle.Width;

float y = this.worldBoundRectangle.Y + scaleY * this.worldBoundRectangle.Height;

return new PointF(x, y);

}

#endregion

#region 메뉴 항목 선택하기 - SelectMenuItem(sender, menuItemArray)

/// <summary>

/// 메뉴 항목 선택하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="menuItemArray">메뉴 항목 배열</param>

private void SelectMenuItem(object sender, ToolStripMenuItem[] menuItemArray)

{

ToolStripMenuItem selectedMenuItem = sender as ToolStripMenuItem;

foreach(ToolStripMenuItem menuItem in menuItemArray)

{

menuItem.Checked = (menuItem == selectedMenuItem);

}

#endregion

#region 스무딩 선택하기 - SelectSmoothing(sender, smoothingType)

/// <summary>

/// 스무딩 선택하기

/// </summary>

/// <param name="sender">이벤트 발생자</param>

/// <param name="smoothingType">스무딩 타입</param>

private void SelectSmoothing(object sender, SmoothingType smoothingType)

{

ToolStripMenuItem[] menuItemArray =

{

this.noSmoothingMenuItem,

this.smooth1MenuItem,

this.smooth2MenuItem,

};

SelectMenuItem(sender, menuItemArray);

this.smoothingType = smoothingType;

DrawFractal();

}

#endregion

#region 확대하기 - ScaleOut(scale)

/// <summary>

/// 확대하기

/// </summary>

/// <param name="scale">스케일</param>

private void ScaleOut(float scale)

{

float centerX = this.worldBoundRectangle.X + this.worldBoundRectangle.Width / 2f;

float centerY = this.worldBoundRectangle.Y + this.worldBoundRectangle.Height / 2f;

float width = this.worldBoundRectangle.Width * scale;

float height = this.worldBoundRectangle.Height * scale;

this.worldBoundRectangle = new RectangleF

(

centerX - width / 2,

centerY - height / 2,

width,

height

);

DrawFractal();

}

#endregion

#region 메소드 정보 구하기 - GetMethodInfo(maximumStep, maximumMagnitude, z0, zn1)

/// <summary>

/// 메소드 정보 구하기

/// </summary>

/// <param name="maximumStep">최대 단계</param>

/// <param name="maximumMagnitude">최대 크기</param>

/// <param name="z0">Z0</param>

/// <param name="znPlus1">Zn + 1</param>

/// <returns>메소드 정보</returns>

private MethodInfo GetMethodInfo(string maximumStep, string maximumMagnitude, string z0, string znPlus1)

{

string functionText = @"

using TestProject;

public static class Evaluator

{

public static PointInfo EvaluatePoint(float x, float y)

{

Complex i = new Complex(0, 1);

Complex Zn = " + z0 + @";

int step_num;

for (step_num = 0; step_num < " + maximumStep + @"; step_num++)

{

if (Zn.Magnitude > " + maximumMagnitude + @") break;

// Calculate Zn+1.

Complex ZnPlus1 = " + znPlus1 + @";

Zn = ZnPlus1;

}

return new PointInfo(Zn, step_num);

}

};";

CompilerParameters parameters = new CompilerParameters();

parameters.GenerateInMemory = true;

parameters.GenerateExecutable = false;

parameters.ReferencedAssemblies.Add(Assembly.GetExecutingAssembly().Location);

CSharpCodeProvider codeProvider = new CSharpCodeProvider();

CompilerResults results = codeProvider.CompileAssemblyFromSource(parameters, functionText);

if(results.Errors.Count > 0)

{

string message = "Error compiling the function.";

foreach(CompilerError compilerError in results.Errors)

{

message += "\n" + compilerError.ErrorText;

}

MessageBox.Show(message, "ERROR", MessageBoxButtons.OK, MessageBoxIcon.Error);

return null;

}

else

{

Type evaluatorType = results.CompiledAssembly.GetType("Evaluator");

MethodInfo methodInfo = evaluatorType.GetMethod("EvaluatePoint");

return methodInfo;

}

#endregion

#region 색상 구하기 - GetColor(mu)

/// <summary>

/// 색상 구하기

/// </summary>

/// <param name="mu">MU</param>

/// <returns>색상</returns>

private Color GetColor(double mu)

{

int color1 = (int)mu;

double t2 = mu - color1;

double t1 = 1 - t2;

color1 = color1 % this.colorCount;

int color2 = (color1 + 1) % this.colorCount;

double red = this.fractalColorArray[color1].R * t1 + this.fractalColorArray[color2].R * t2;

double green = this.fractalColorArray[color1].G * t1 + this.fractalColorArray[color2].G * t2;

double blue = this.fractalColorArray[color1].B * t1 + this.fractalColorArray[color2].B * t2;

return Color.FromArgb((byte)red, (byte)green, (byte)blue);

}

#endregion

#region 스무스 망델브로 색상 구하기 - GetSmoothMandelbrotColor(z, c, stepNumber)

/// <summary>

/// 스무스 망델브로 색상 구하기

/// </summary>

/// <param name="z">복소수 Z</param>

/// <param name="c">복소수 C</param>

/// <param name="stepNumber">단계 번호</param>

/// <returns>스무스 망델브로 색상</returns>

private Color GetSmoothMandelbrotColor(Complex z, Complex c, int stepNumber)

{

if(stepNumber == 0)

{

return this.fractalColorArray[0];

}

for(int i = 0; i < 3; i++)

{

z = z * z + c;

stepNumber++;

}

double mu = stepNumber + 1 - Math.Log(Math.Log(z.Magnitude)) / this.logEscape;

if(this.smoothingType == SmoothingType.Smooth2)

{

mu = mu / this.maximumIterationCount * this.colorCount;

}

return GetColor(mu);

}

#endregion

#region 픽셀 색상 설정하기 - SetPixelColor(bitmapHelper, indexX, indexY, methodInfo, z, stepNumber)

/// <summary>

/// 픽셀 색상 설정하기

/// </summary>

/// <param name="bitmapHelper">비트맵 헬퍼</param>

/// <param name="indexX">인덱스 X</param>

/// <param name="indexY">인덱스 Y</param>

/// <param name="methodInfo">메소드 정보</param>

/// <param name="z">복소수 Z</param>

/// <param name="stepNumber">단계 번호</param>

private void SetPixelColor(BitmapHelper bitmapHelper, int indexX, int indexY, MethodInfo methodInfo, Complex z, int stepNumber)

{

if(stepNumber >= this.maximumIterationCount)

{

stepNumber = 0;

}

Color color;

if(this.smoothingType == SmoothingType.None)

{

color = this.fractalColorArray[stepNumber % this.colorCount];

}

else

{

color = GetSmoothMandelbrotColor(z, new Complex(), stepNumber);

}

bitmapHelper.SetPixel(indexX, indexY, color.R, color.G, color.B, 255);

}

#endregion

#region 프랙탈 그리기 - DrawFractal(minimumX, minimumY, deltaX, deltaY, width, height)

/// <summary>

/// 프랙탈 그리기

/// </summary>

/// <param name="minimumX">최소 X</param>

/// <param name="minimumY">최소 Y</param>

/// <param name="deltaX">델타 X</param>

/// <param name="deltaY">델타 Y</param>

/// <param name="width">너비</param>

/// <param name="height">높이</param>

/// <returns>비트맵</returns>

private Bitmap DrawFractal(float minimumX, float minimumY, float deltaX, float deltaY, int width, int height)

{

MethodInfo methodInfo = GetMethodInfo

(

this.maximumStepTextBox.Text,

this.maximumMagnitudeTextBox.Text,

this.z0TextBox.Text,

this.znPlus1TextBox.Text

);

if(methodInfo == null)

{

return null;

}

Bitmap bitmap = new Bitmap(width, height);

BitmapHelper bitmapHelper = new BitmapHelper(bitmap);

bitmapHelper.LockBitmap();

object[] methodParameterArray = new object[2];

float y = minimumY;

for(int indexY = 0; indexY < bitmapHelper.Height; indexY++)

{

float x = minimumX;

for(int indexX = 0; indexX < bitmapHelper.Width; indexX++)

{

methodParameterArray[0] = x;

methodParameterArray[1] = y;

PointInfo pointInfo = (PointInfo)methodInfo.Invoke(null, methodParameterArray);

SetPixelColor(bitmapHelper, indexX, indexY, methodInfo, pointInfo.Z, pointInfo.StepNumber);

x += deltaX;

}

y += deltaY;

}

bitmapHelper.UnlockBitmap();

return bitmap;

}

#endregion

#region 프랙탈 그리기 - DrawFractal()

/// <summary>

/// 프랙탈 그리기

/// </summary>

private void DrawFractal()

{

this.pictureBox.Image = null;

this.pictureBox.Refresh();

Cursor = Cursors.WaitCursor;

AdjustBoundRectangle();

float deltaX = this.worldBoundRectangle.Width / this.pictureBox.ClientRectangle.Width;

float deltaY = this.worldBoundRectangle.Height / this.pictureBox.ClientRectangle.Height;

float minimumX = this.worldBoundRectangle.X;

float minimumY = this.worldBoundRectangle.Y;

string z0 = this.z0TextBox.Text;

string equation = this.znPlus1TextBox.Text;

int width = this.pictureBox.ClientSize.Width;

int height = this.pictureBox.ClientSize.Height;

Bitmap bitmap = DrawFractal(minimumX, minimumY, deltaX, deltaY, width, height);

this.pictureBox.Image = bitmap;

Cursor = Cursors.Default;

}

#endregion

}

TestProject.zip