using System; using System.Drawing; using System.Drawing.Drawing2D; using System.Numerics; using System.Windows.Forms; namespace _2DTest { public partial class Form1 : Form { private Transformable2D transformable = new Transformable2D(); public Form1() { InitializeComponent(); } protected override void OnPaint(PaintEventArgs e) { base.OnPaint(e); // Wende die Transformation auf die Grafik an e.Graphics.Transform = transformable.GetTransformationMatrix(); // Beispielcode für die Verwendung von Vector2 und Punkten Vector2 point1 = new Vector2(50, 50); Vector2 point2 = new Vector2(100, 100); // Zeichne eine Linie zwischen den transformierten Punkten e.Graphics.DrawLine(Pens.Black, point1.X, point1.Y, point2.X, point2.Y); } // Ereignishandler für Tastendrücke zum Testen der Transformationen protected override void OnKeyDown(KeyEventArgs e) { base.OnKeyDown(e); switch (e.KeyCode) { case Keys.W: transformable.Translate(0, -10); // Bewegung nach oben break; case Keys.S: transformable.Translate(0, 10); // Bewegung nach unten break; case Keys.A: transformable.Translate(-10, 0); // Bewegung nach links break; case Keys.D: transformable.Translate(10, 0); // Bewegung nach rechts break; case Keys.R: transformable.Rotate(15); // Rotation im Uhrzeigersinn um 15 Grad break; case Keys.E: transformable.Rotate(-15); // Rotation gegen den Uhrzeigersinn um 15 Grad break; case Keys.Q: transformable.Scale(1.1f, 1.1f); // Skalierung um 10% break; case Keys.Z: transformable.Scale(0.9f, 0.9f); // Skalierung um 10% verkleinern break; } // Erzwinge ein Neuzeichnen des Formulars Invalidate(); } } public class Transformable2D { private PointF position; private float rotation; private SizeF scale; public Transformable2D() { position = Point.Empty; rotation = 0f; scale = new SizeF(1, 1); } public void Translate(float dx, float dy) { position.X += dx; position.Y += dy; } public void Rotate(float angleInDegrees) { rotation += angleInDegrees; } public void Scale(float scaleX, float scaleY) { scale.Width *= scaleX; scale.Height *= scaleY; } public Matrix GetTransformationMatrix() { Matrix matrix = new Matrix(); matrix.Translate(position.X, position.Y); matrix.Rotate(rotation); matrix.Scale(scale.Width, scale.Height); return matrix; } } }
using System; using System.Collections.Generic; using System.Drawing; using System.Numerics; using System.Windows.Forms; namespace _3DTest { public partial class Form1 : Form { private Timer timer1; private Transformable3D cubeTransform; private float TranslationSpeed = 5f; private float RotationSpeed = 0.05f; private float ScaleSpeed = 0.1f; public Form1() { InitializeComponent(); this.KeyDown += Form1_KeyDown; cubeTransform = new Transformable3D(); InitializeCube(); // Initialisiere den Timer timer1 = new Timer(); timer1.Interval = 16; // ungefähr 60 fps timer1.Tick += timer1_Tick; timer1.Start(); } private void InitializeCube() { // Definiere die Eckpunkte des Würfels List<Vector3> cubePoints = new List<Vector3> { new Vector3(-1, -1, -1), new Vector3(1, -1, -1), new Vector3(1, 1, -1), new Vector3(-1, 1, -1), new Vector3(-1, -1, 1), new Vector3(1, -1, 1), new Vector3(1, 1, 1), new Vector3(-1, 1, 1), }; // Setze die Punkte für den Würfel in der Transformable3D-Instanz cubeTransform.SetPoints(cubePoints); } private void Form1_KeyDown(object sender, KeyEventArgs e) { // Verarbeite Tastendrücke für Bewegung, Rotation und Skalierung switch (e.KeyCode) { // Bewegung case Keys.Left: cubeTransform.Translate(new Vector3(-TranslationSpeed, 0, 0)); break; case Keys.Right: cubeTransform.Translate(new Vector3(TranslationSpeed, 0, 0)); break; case Keys.Up: cubeTransform.Translate(new Vector3(0, -TranslationSpeed, 0)); break; case Keys.Down: cubeTransform.Translate(new Vector3(0, TranslationSpeed, 0)); break; // Rotation case Keys.A: cubeTransform.Rotate(new Vector3(0, 0, RotationSpeed)); break; case Keys.D: cubeTransform.Rotate(new Vector3(0, 0, -RotationSpeed)); break; case Keys.W: cubeTransform.Rotate(new Vector3(RotationSpeed, 0, 0)); break; case Keys.S: cubeTransform.Rotate(new Vector3(-RotationSpeed, 0, 0)); break; // Skalierung case Keys.Add: cubeTransform.Scale(new Vector3(1 + ScaleSpeed, 1 + ScaleSpeed, 1 + ScaleSpeed)); break; case Keys.Subtract: cubeTransform.Scale(new Vector3(1 - ScaleSpeed, 1 - ScaleSpeed, 1 - ScaleSpeed)); break; } // Aktualisiere die Zeichenfläche nach jeder Änderung Refresh(); } private void timer1_Tick(object sender, EventArgs e) { Refresh(); } protected override void OnPaint(PaintEventArgs e) { base.OnPaint(e); // Rufe die Transformationsmatrix des Würfels ab Matrix4x4 transformationMatrix = cubeTransform.GetTransformationMatrix(); // Wende die Transformation auf jeden Punkt des Würfels an List<Vector3> transformedPoints = cubeTransform.TransformPoints(transformationMatrix); // Zeichne die Linien des Würfels using (var pen = new Pen(Color.Black)) { // Zeichne die Kanten des Würfels for (int i = 0; i < 4; i++) { PointF point1 = new PointF(transformedPoints[i].X, transformedPoints[i].Y); PointF point2 = new PointF(transformedPoints[(i + 1) % 4].X, transformedPoints[(i + 1) % 4].Y); e.Graphics.DrawLine(pen, point1, point2); point1 = new PointF(transformedPoints[i + 4].X, transformedPoints[i + 4].Y); point2 = new PointF(transformedPoints[((i + 1) % 4) + 4].X, transformedPoints[((i + 1) % 4) + 4].Y); e.Graphics.DrawLine(pen, point1, point2); point1 = new PointF(transformedPoints[i].X, transformedPoints[i].Y); point2 = new PointF(transformedPoints[i + 4].X, transformedPoints[i + 4].Y); e.Graphics.DrawLine(pen, point1, point2); } // Zeichne die Kanten zwischen den Ecken for (int i = 0; i < 4; i++) { PointF point1 = new PointF(transformedPoints[i].X, transformedPoints[i].Y); PointF point2 = new PointF(transformedPoints[(i + 4) % 8].X, transformedPoints[(i + 4) % 8].Y); e.Graphics.DrawLine(pen, point1, point2); } } } } public class Transformable3D { private List<Vector3> points; public Transformable3D() { points = new List<Vector3>(); } public void SetPoints(List<Vector3> newPoints) { points = newPoints; } public void Translate(Vector3 translation) { for (int i = 0; i < points.Count; i++) { points[i] += translation; } } public void Rotate(Vector3 rotation) { Matrix4x4 rotationMatrixX = Matrix4x4.CreateRotationX(rotation.X); Matrix4x4 rotationMatrixY = Matrix4x4.CreateRotationY(rotation.Y); Matrix4x4 rotationMatrixZ = Matrix4x4.CreateRotationZ(rotation.Z); Matrix4x4 combinedRotation = rotationMatrixX * rotationMatrixY * rotationMatrixZ; for (int i = 0; i < points.Count; i++) { points[i] = Vector3.Transform(points[i], combinedRotation); } } public void Scale(Vector3 scale) { for (int i = 0; i < points.Count; i++) { points[i] *= scale; } } public Matrix4x4 GetTransformationMatrix() { return Matrix4x4.Identity; } public List<Vector3> TransformPoints(Matrix4x4 transformationMatrix) { List<Vector3> transformedPoints = new List<Vector3>(); foreach (var point in points) { transformedPoints.Add(Vector3.Transform(point, transformationMatrix)); } return transformedPoints; } } }