■ 정규 분포 곡선(Normal Distribution Curve)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.Drawing.Text; using System.Windows.Forms; namespace TestProject { /// <summary> /// 메인 폼 /// </summary> public partial class MainForm : Form { //////////////////////////////////////////////////////////////////////////////////////////////////// Constructor ////////////////////////////////////////////////////////////////////////////////////////// Public #region 생성자 - MainForm() /// <summary> /// 생성자 /// </summary> public MainForm() { InitializeComponent(); #region 이벤트를 설정한다. this.drawButton.Click += drawButton_Click; #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) { float mean = float.Parse(this.meanTextBox.Text); float standardDeviation = float.Parse(this.standardDeviationTextBox.Text); float variance = standardDeviation * standardDeviation; float deviationCount = float.Parse(this.deviationCountTextBox.Text); this.canvasPictureBox.Image = GetNormalDistributionCurveImage ( deviationCount, this.canvasPictureBox.ClientSize.Width, this.canvasPictureBox.ClientSize.Height, mean, standardDeviation, variance ); } #endregion //////////////////////////////////////////////////////////////////////////////// Function #region Y 좌표 구하기 - GetY(x, oneOver2PI, mean, standardDeviation, veriance) /// <summary> /// Y 좌표 구하기 /// </summary> /// <param name="x">X 좌표</param> /// <param name="oneOver2PI">ONT OVER 2 PI</param> /// <param name="mean">평균</param> /// <param name="standardDeviation">표준 편차</param> /// <param name="veriance">분산</param> /// <returns>Y 좌표</returns> private float GetY(float x, float oneOver2PI, float mean, float standardDeviation, float veriance) { return (float)(oneOver2PI * Math.Exp(-(x - mean) * (x - mean) / (2 * veriance))); } #endregion #region 정규 분포 곡선 이미지 구하기 - GetNormalDistributionCurveImage(deviationCount, width, height, mean, standardDeviation, variance) /// <summary> /// 정규 분포 곡선 이미지 구하기 /// </summary> /// <param name="deviationCount">편차 수</param> /// <param name="width">너비</param> /// <param name="height">높이</param> /// <param name="mean">평균</param> /// <param name="standardDeviation">표준 편차</param> /// <param name="variance">분산</param> /// <returns>정규 분포 곡선 이미지</returns> private Bitmap GetNormalDistributionCurveImage(float deviationCount, int width, int height, float mean, float standardDeviation, float variance) { Bitmap bitmap = new Bitmap(width, height); using(Graphics graphics = Graphics.FromImage(bitmap)) { graphics.SmoothingMode = SmoothingMode.AntiAlias; float minimumWorldX = mean - standardDeviation * deviationCount; float maximumWorldX = mean + standardDeviation * deviationCount; float oneOver2PI = (float)(1.0 / (standardDeviation * Math.Sqrt(2 * Math.PI))); float maximumWorldY = GetY(mean, oneOver2PI, mean, deviationCount, variance) * 1.1f; float minimumWorldY = -0.2f * maximumWorldY; float worldWidth = maximumWorldX - minimumWorldX; float worldHeight = maximumWorldY - minimumWorldY; RectangleF worldRectangle = new RectangleF(minimumWorldX, minimumWorldY, worldWidth, worldHeight); PointF[] devicepointArray = { new PointF(0, height), new PointF(width, height), new PointF(0, 0), }; Matrix transformMatrix = new Matrix(worldRectangle, devicepointArray); Matrix inverseMatrix = transformMatrix.Clone(); inverseMatrix.Invert(); PointF[] tickPointArray = { new PointF(5, 5) }; inverseMatrix.TransformVectors(tickPointArray); float tickDeltaX = tickPointArray[0].X; float tickDeltaY = -tickPointArray[0].Y; using(Pen pen = new Pen(Color.Red, 0)) { using(Font font = new Font("Arial", 8)) { graphics.Transform = transformMatrix; pen.Color = Color.Black; graphics.DrawLine(pen, minimumWorldX, 0, maximumWorldX, 0); for(int x = (int)minimumWorldX - 1; x <= maximumWorldX; x++) { graphics.DrawLine(pen, x , -tickDeltaY * 2, x , tickDeltaY * 2); graphics.DrawLine(pen, x + 0.25f, -tickDeltaY , x + 0.25f, tickDeltaY ); graphics.DrawLine(pen, x + 0.50f, -tickDeltaY , x + 0.50f, tickDeltaY ); graphics.DrawLine(pen, x + 0.75f, -tickDeltaY , x + 0.75f, tickDeltaY ); } graphics.Transform = new Matrix(); graphics.TextRenderingHint = TextRenderingHint.AntiAliasGridFit; List<PointF> pointList1 = new List<PointF>(); for(int x = (int)minimumWorldX; x <= maximumWorldX; x++) { pointList1.Add(new PointF(x, -2 * tickDeltaY)); } PointF[] pointArray = pointList1.ToArray(); transformMatrix.TransformPoints(pointArray); using(StringFormat stringFormat = new StringFormat()) { stringFormat.Alignment = StringAlignment.Center; stringFormat.LineAlignment = StringAlignment.Near; int index = 0; for(int x = (int)minimumWorldX; x <= maximumWorldX; x++) { graphics.DrawString ( x.ToString(), font, Brushes.Black, pointArray[index++], stringFormat ); } } graphics.Transform = transformMatrix; pen.Color = Color.Black; graphics.DrawLine(pen, 0, minimumWorldY, 0, maximumWorldY); for(int y = (int)minimumWorldY - 1; y <= maximumWorldY; y++) { graphics.DrawLine(pen, -tickDeltaX * 2, y , tickDeltaX * 2, y ); graphics.DrawLine(pen, -tickDeltaX , y + 0.25f, tickDeltaX , y + 0.25f); graphics.DrawLine(pen, -tickDeltaX , y + 0.50f, tickDeltaX , y + 0.50f); graphics.DrawLine(pen, -tickDeltaX , y + 0.75f, tickDeltaX , y + 0.75f); } graphics.Transform = new Matrix(); graphics.TextRenderingHint = TextRenderingHint.AntiAliasGridFit; List<PointF> pointList2 = new List<PointF>(); for(float y = 0.25f; y < maximumWorldY; y += 0.25f) { pointList2.Add(new PointF(2 * tickDeltaX, y)); } if(pointList2.Count > 0) { pointArray = pointList2.ToArray(); transformMatrix.TransformPoints(pointArray); } using(StringFormat stringFormat = new StringFormat()) { stringFormat.Alignment = StringAlignment.Near; stringFormat.LineAlignment = StringAlignment.Center; int index = 0; for(float y = 0.25f; y < maximumWorldY; y += 0.25f) { graphics.DrawString ( y.ToString("0.00"), font, Brushes.Black, pointArray[index++], stringFormat ); } } graphics.Transform = transformMatrix; List<PointF> pointList3 = new List<PointF>(); float deltaX = (maximumWorldX - minimumWorldX) / width; for(float x = minimumWorldX; x <= maximumWorldX; x += deltaX) { float y = GetY(x, oneOver2PI, mean, standardDeviation, variance); pointList3.Add(new PointF(x, y)); } pen.Color = Color.Red; graphics.DrawLines(pen, pointList3.ToArray()); } } } return bitmap; } #endregion } } |
