■ 쌍곡나사선(Hyperbolic Spiral)을 그리는 방법을 보여준다.
▶ MainForm.cs
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using System; using System.Collections.Generic; using System.Drawing; using System.Drawing.Drawing2D; using System.Windows.Forms; namespace TestProject { /// <summary> /// 메인 폼 /// </summary> public partial class MainForm : Form { //////////////////////////////////////////////////////////////////////////////////////////////////// Field ////////////////////////////////////////////////////////////////////////////////////////// Private #region Field /// <summary> /// 펜 배열 /// </summary> private Pen[] penArray = { Pens.Red, Pens.Green, Pens.Purple, Pens.Blue, Pens.Magenta }; #endregion //////////////////////////////////////////////////////////////////////////////////////////////////// Constructor ////////////////////////////////////////////////////////////////////////////////////////// Public #region 생성자 - MainForm() /// <summary> /// 생성자 /// </summary> public MainForm() { InitializeComponent(); #region 이벤트를 설정한다. this.drawButton.Click += drawButton_Click; this.canvasPictureBox.Resize += canvasPictureBox_Resize; this.canvasPictureBox.Paint += canvasPictureBox_Paint; #endregion } #endregion //////////////////////////////////////////////////////////////////////////////////////////////////// Method ////////////////////////////////////////////////////////////////////////////////////////// Private //////////////////////////////////////////////////////////////////////////////// Event #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) { this.canvasPictureBox.Refresh(); } #endregion #region 캔버스 픽처 박스 크기 조정시 처리하기 - canvasPictureBox_Resize(sender, e) /// <summary> /// 캔버스 픽처 박스 크기 조정시 처리하기 /// </summary> /// <param name="sender">이벤트 발생자</param> /// <param name="e">이벤트 인자</param> private void canvasPictureBox_Resize(object sender, EventArgs e) { this.canvasPictureBox.Refresh(); } #endregion #region 캔버스 픽처 박스 페인트시 처리하기 - canvasPictureBox_Paint(sender, e) /// <summary> /// 캔버스 픽처 박스 페인트시 처리하기 /// </summary> /// <param name="sender">이벤트 발생자</param> /// <param name="e">이벤트 인자</param> private void canvasPictureBox_Paint(object sender, PaintEventArgs e) { e.Graphics.Clear(canvasPictureBox.BackColor); e.Graphics.SmoothingMode = SmoothingMode.AntiAlias; try { float a = float.Parse(this.aTextBox.Text); int spiralCount = int.Parse(this.spiralCountTextBox.Text); float angleStep = (float)(2 * Math.PI / spiralCount); float start_angle = 0; PointF centerPoint = new PointF ( this.canvasPictureBox.ClientSize.Width / 2, this.canvasPictureBox.ClientSize.Height / 2 ); e.Graphics.DrawLine ( Pens.Black, centerPoint.X, 0, centerPoint.X, this.canvasPictureBox.ClientSize.Height ); e.Graphics.DrawLine ( Pens.Black, 0, centerPoint.Y, this.canvasPictureBox.ClientSize.Width, centerPoint.Y ); Rectangle rectangle = new Rectangle(25, 50, 150, 150); float maximumR = GetDistance(centerPoint, rectangle); for(int i = 0; i < spiralCount; i++) { List<PointF> pointList = GetSpiralPointList(0.1f, centerPoint, a, start_angle, maximumR); e.Graphics.DrawLines(penArray[i % penArray.Length], pointList.ToArray()); start_angle += angleStep; } e.Graphics.DrawRectangle(Pens.Black, rectangle); } catch(Exception exception) { MessageBox.Show(exception.Message); } } #endregion //////////////////////////////////////////////////////////////////////////////// Function #region 거리 구하기 - GetDistance(point1, point2) /// <summary> /// 거리 구하기 /// </summary> /// <param name="point1">포인트 1</param> /// <param name="point2">포인트 2</param> /// <returns>거리</returns> private float GetDistance(PointF point1, PointF point2) { float deltaX = point1.X - point2.X; float deltaY = point1.Y - point2.Y; return (float)Math.Sqrt(deltaX * deltaX + deltaY * deltaY); } #endregion #region 거리 구하기 - GetDistance(point, rectangle) /// <summary> /// 거리 구하기 /// </summary> /// <param name="point">포인트</param> /// <param name="rectangle">사각형</param> /// <returns>거리</returns> private float GetDistance(PointF point, Rectangle rectangle) { float maximumDistance = GetDistance(point, new PointF(rectangle.Left, rectangle.Top)); float testDistance = GetDistance(point, new PointF(rectangle.Left, rectangle.Bottom)); if(maximumDistance < testDistance) { maximumDistance = testDistance; } testDistance = GetDistance(point, new PointF(rectangle.Right, rectangle.Top)); if(maximumDistance < testDistance) { maximumDistance = testDistance; } testDistance = GetDistance(point, new PointF(rectangle.Right, rectangle.Bottom)); if(maximumDistance < testDistance) { maximumDistance = testDistance; } return maximumDistance; } #endregion #region 극 좌표계를 데카르트 좌표계로 변환하기 - ConvertPolarCoordinatesToCartesianCoordinates(r, theta, x, y) /// <summary> /// 극 좌표계를 데카르트 좌표계로 변환하기 /// </summary> /// <param name="r">R</param> /// <param name="theta">세타</param> /// <param name="x">X</param> /// <param name="y">Y</param> private void ConvertPolarCoordinatesToCartesianCoordinates(float r, float theta, out float x, out float y) { x = (float)(r * Math.Cos(theta)); y = (float)(r * Math.Sin(theta)); } #endregion #region 나선 포인트 리스트 구하기 - GetSpiralPointList(deltaTheta, centerPoint, a, angleOffset, maximumR) /// <summary> /// 나선 포인트 리스트 구하기 /// </summary> /// <param name="deltaTheta">델타 세타</param> /// <param name="centerPoint">중심 포인트</param> /// <param name="a">A</param> /// <param name="angleOffset">각도 오프셋</param> /// <param name="maximumR">최대 R</param> /// <returns>나선 포인트 리스트</returns> private List<PointF> GetSpiralPointList(float deltaTheta, PointF centerPoint, float a, float angleOffset, float maximumR) { float maximumTheta = a / 2f; List<PointF> pointList = new List<PointF>(); for(float theta = maximumTheta; ; theta -= deltaTheta) { float r = a / theta; float x; float y; ConvertPolarCoordinatesToCartesianCoordinates(r, theta + angleOffset, out x, out y); x += centerPoint.X; y += centerPoint.Y; pointList.Add(new PointF((float)x, (float)y)); if(r > maximumR) { break; } } return pointList; } #endregion } } |
