using System;

using System.ComponentModel.DataAnnotations;

​

namespace HelloWorldMvcApp

{

    public class SampleViewModel

    {

        [Required]

        [MinLength(10)]

        [MaxLength(100)]

        [Display(Name = "Ask Magic 8 Ball any question:")]

        public string Question { get; set; }

​

        //See here for list of answers

using System;using System.Drawing;using System.Drawing.Drawing2D;using System.Windows.Forms;namespace CGPproject{class Rotate3Dtest{public static void Main(){Application.Run(new View3D());}}public partial class View3D : Form{// define a cube with an array of vertices shownPoint3D[] vertices = {new Point3D(100, 100, 100),new Point3D(100, 200, 100),new Point3D(200, 200, 100),new Point3D(200, 100, 100),new Point3D(100, 100, 200),new Point3D(100, 200, 200),new Point3D(200, 200, 200),new Point3D(200, 100, 200)};// create an empty array to store the transformed verticesPoint3D[] newVertices = new Point3D[8];// define the centre of rotation ie the center of the cubePoint3D centreRot = new Point3D(150, 150, 150);// create the transforming matricesTransformer trans = new Transformer();public View3D(){InitializeComponent();// Size the framethis.SetStyle(ControlStyles.ResizeRedraw, true);this.Width = 500;this.Height = 500;this.BackColor = Color.White;// Use the amalgamated transform matrix to create and array of new 3D pointsfor (int vertex = 0; vertex < 8; vertex++){newVertices[vertex] =trans.transformPoint(vertices[vertex], centreRot); // transform each point

}}protected override void OnPaint(PaintEventArgs e){Graphics g = e.Graphics;Pen blackPen = new Pen(Color.Black, 2);/* draw front */drawALine(g, blackPen, newVertices[0], newVertices[1]);drawALine(g, blackPen, newVertices[1], newVertices[2]);drawALine(g, blackPen, newVertices[2], newVertices[3]);drawALine(g, blackPen, newVertices[3], newVertices[0]);/* draw back */drawALine(g, blackPen, newVertices[4], newVertices[5]);drawALine(g, blackPen, newVertices[5], newVertices[6]);drawALine(g, blackPen, newVertices[6], newVertices[7]);drawALine(g, blackPen, newVertices[7], newVertices[4]);/* draw other edges */drawALine(g, blackPen, newVertices[0], newVertices[4]);drawALine(g, blackPen, newVertices[1], newVertices[5]);drawALine(g, blackPen, newVertices[2], newVertices[6]);drawALine(g, blackPen, newVertices[3], newVertices[7]);}void drawALine(Graphics g3d, Pen pen, Point3D start, Point3D end){// Method to draw a line between 2 Point3D objectsg3d.DrawLine(pen, (int)(start.getX() + 0.5), (int)(start.getY() + 0.5),(int)(end.getX() + 0.5), (int)(end.getY() + 0.5));}}class Transformer{/* This class sets up two transformation matrices (both rotation) where the first performs a rotationof 45 degrees about the z axis (out of screen) and then 30 degrees about the horizontal x axis (horizontaland parallel to screen). The two rotation matrices are then combined to create a single final transformationmatrix which will implement the transformation in one step.*/// This rotation matrix for rotation about z is set up for 45 degrees eg cos45 = 0.7071float[,] zRotMat = { { 0.7071f, 0.7071f,  0.0f},{-0.7071f, 0.7071f,  0.0f},             { 0.0f,    0.0f,     1.0f}

};// This rotation matrix for rotation about the x is set up for 30 degrees eg cos30 = 0.8660float[,] xRotMat ={ {1.0f, 0.0f,    0.0f },                    {0.0f, 0.8660f, 0.5000f},                    {0.0f,-0.5000f, 0.8660f}};// This will store the resultant matrixfloat[,] transMat = new float[3,3];int row, col, index;      /* used in the matrix calcs */// The constructor creates the single tranformation matrixpublic Transformer(){for (row = 0; row < 3; row++){for (col = 0; col < 3; col++){transMat[row,col] = 0.0f;for (index = 0; index < 3; index++){transMat[row,col] +=zRotMat[row,index] * xRotMat[index,col];}}}}// Calculates and returns new point after transformpublic Point3D transformPoint(Point3D point, Point3D centre){// move centre of rotation to originpoint.setX(point.getX() - centre.getX());point.setY(point.getY() - centre.getY());point.setZ(point.getZ() - centre.getZ());// matrix form of pointfloat[] pointMat = { point.getX(), point.getY(), point.getZ() };float[] newPointMat = new float[3];Point3D newPoint = new Point3D(0, 0, 0);// transfom calculationsfor (int col = 0; col < 3; col++){newPointMat[col] = 0.0f;for (index = 0; index < 3; index++){newPointMat[col] += pointMat[index] * transMat[index,col];}

}// update new pointnewPoint.setX(newPointMat[0] + centre.getX());newPoint.setY(newPointMat[1] + centre.getY());newPoint.setZ(newPointMat[2] + centre.getZ());return newPoint;}}class Point3D{/** This class represents a point in 3D space */float x, y, z;public Point3D(float x, float y, float z){setX(x);setY(y);setZ(z);}public Point3D(){setX(0);setY(0);setZ(0);}public void setX(float x) { this.x = x; }public void setY(float y) { this.y = y; }public void setZ(float z) { this.z = z; }public float getX() { return x; }public float getY() { return y; }public float getZ() { return z; }}}

​