public Cube(int Width, int Height, int Depth, Math3D.Point3D origin)
{
width = Width;
height = Height;
depth = Depth;
cubeOrigin = origin;
}
public Cube(int Width, int Height, int Depth)
{
width = Width;
height = Height;
depth = Depth;
cubeOrigin = new Math3D.Point3D(width / 2, height / 2, depth / 2);
}
public Cube(int side, Math3D.Point3D origin)
{
width = side;
height = side;
depth = side;
cubeOrigin = origin;
}
public Cube(int side)
{
width = side;
height = side;
depth = side;
cubeOrigin = new Math3D.Point3D(width / 2, height / 2, depth / 2);
}
public static Math3D.Point3D[] fillCubeVertices(int width, int height, int depth)
{
Math3D.Point3D[] verts = new Math3D.Point3D[24];
//front face
//force points to the middle
//verts[0] = new Math3D.Point3D(0, 0, 0);
verts[0] = new Math3D.Point3D(width / 2, 0, depth / 2);
verts[1] = new Math3D.Point3D(0, height, 0);
verts[2] = new Math3D.Point3D(width, height, 0);
verts[3] = new Math3D.Point3D(width, 0, 0);
//back face
verts[4] = new Math3D.Point3D(0, 0, depth);
verts[5] = new Math3D.Point3D(0, height, depth);
verts[6] = new Math3D.Point3D(width, height, depth);
verts[7] = new Math3D.Point3D(width, 0, depth);
//left face
verts[8] = new Math3D.Point3D(0, 0, 0);
verts[9] = new Math3D.Point3D(0, 0, depth);
verts[10] = new Math3D.Point3D(0, height, depth);
verts[11] = new Math3D.Point3D(0, height, 0);
//right face
verts[12] = new Math3D.Point3D(width, 0, 0);
verts[13] = new Math3D.Point3D(width, 0, depth);
verts[14] = new Math3D.Point3D(width, height, depth);
verts[15] = new Math3D.Point3D(width, height, 0);
//top face
verts[16] = new Math3D.Point3D(0, height, 0);
verts[17] = new Math3D.Point3D(0, height, depth);
verts[18] = new Math3D.Point3D(width, height, depth);
verts[19] = new Math3D.Point3D(width, height, 0);
//bottom face
verts[20] = new Math3D.Point3D(0, 0, 0);
verts[21] = new Math3D.Point3D(0, 0, depth);
verts[22] = new Math3D.Point3D(width, 0, depth);
verts[23] = new Math3D.Point3D(width, 0, 0);
//make magenta!
return(verts);
}
public Bitmap drawCube(Point drawOrigin)
{
//FRONT FACE
//Top Left - 7
//Top Right - 4
//Bottom Left - 6
//Bottom Right - 5
//Vars
PointF[] point3D = new PointF[24]; //Will be actual 2D drawing points
Point tmpOrigin = new Point(0, 0);
Math3D.Point3D point0 = new Math3D.Point3D(0, 0, 0); //Used for reference
//Zoom factor is set with the monitor width to keep the cube from being distorted
double zoom = (double)Screen.PrimaryScreen.Bounds.Width / 1.5;
//Set up the cube
Math3D.Point3D[] cubePoints = fillCubeVertices(width, height, depth);
//Calculate the camera Z position to stay constant despite rotation
Math3D.Point3D anchorPoint = (Math3D.Point3D)cubePoints[4]; //anchor point
double cameraZ = -(((anchorPoint.X - cubeOrigin.X) * zoom) / cubeOrigin.X) + anchorPoint.Z;
camera1.Position = new Math3D.Point3D(cubeOrigin.X, cubeOrigin.Y, cameraZ);
//Apply Rotations, moving the cube to a corner then back to middle
cubePoints = Math3D.Translate(cubePoints, cubeOrigin, point0);
cubePoints = Math3D.RotateX(cubePoints, xRotation); //The order of these
cubePoints = Math3D.RotateY(cubePoints, yRotation); //rotations is the source
cubePoints = Math3D.RotateZ(cubePoints, zRotation); //of Gimbal Lock
cubePoints = Math3D.Translate(cubePoints, point0, cubeOrigin);
//Convert 3D Points to 2D
Math3D.Point3D vec;
for (int i = 0; i < point3D.Length; i++)
{
vec = cubePoints[i];
if (vec.Z - camera1.Position.Z >= 0)
{
point3D[i].X = (int)((double)-(vec.X - camera1.Position.X) / (-0.1f) * zoom) + drawOrigin.X;
point3D[i].Y = (int)((double)(vec.Y - camera1.Position.Y) / (-0.1f) * zoom) + drawOrigin.Y;
}
else
{
tmpOrigin.X = (int)((double)(cubeOrigin.X - camera1.Position.X) / (double)(cubeOrigin.Z - camera1.Position.Z) * zoom) + drawOrigin.X;
tmpOrigin.Y = (int)((double)-(cubeOrigin.Y - camera1.Position.Y) / (double)(cubeOrigin.Z - camera1.Position.Z) * zoom) + drawOrigin.Y;
point3D[i].X = (float)((vec.X - camera1.Position.X) / (vec.Z - camera1.Position.Z) * zoom + drawOrigin.X);
point3D[i].Y = (float)(-(vec.Y - camera1.Position.Y) / (vec.Z - camera1.Position.Z) * zoom + drawOrigin.Y);
point3D[i].X = (int)point3D[i].X;
point3D[i].Y = (int)point3D[i].Y;
}
}
//Now to plot out the points
Rectangle bounds = getBounds(point3D);
bounds.Width += drawOrigin.X;
bounds.Height += drawOrigin.Y;
Bitmap tmpBmp = new Bitmap(bounds.Width, bounds.Height);
Graphics g = Graphics.FromImage(tmpBmp);
//Back Face
g.DrawLine(Pens.Black, point3D[0], point3D[1]);
g.DrawLine(Pens.Black, point3D[1], point3D[2]);
g.DrawLine(Pens.Black, point3D[2], point3D[3]);
g.DrawLine(Pens.Black, point3D[3], point3D[0]);
//Front Face
g.DrawLine(Pens.Black, point3D[4], point3D[5]);
g.DrawLine(Pens.Black, point3D[5], point3D[6]);
g.DrawLine(Pens.Black, point3D[6], point3D[7]);
g.DrawLine(Pens.Black, point3D[7], point3D[4]);
//Right Face
g.DrawLine(Pens.Black, point3D[8], point3D[9]);
g.DrawLine(Pens.Black, point3D[9], point3D[10]);
g.DrawLine(Pens.Black, point3D[10], point3D[11]);
g.DrawLine(Pens.Black, point3D[11], point3D[8]);
//Left Face
g.DrawLine(Pens.Black, point3D[12], point3D[13]);
g.DrawLine(Pens.Black, point3D[13], point3D[14]);
g.DrawLine(Pens.Black, point3D[14], point3D[15]);
g.DrawLine(Pens.Black, point3D[15], point3D[12]);
//Bottom Face
g.DrawLine(Pens.Black, point3D[16], point3D[17]);
g.DrawLine(Pens.Black, point3D[17], point3D[18]);
g.DrawLine(Pens.Black, point3D[18], point3D[19]);
g.DrawLine(Pens.Black, point3D[19], point3D[16]);
//Top Face
g.DrawLine(Pens.Black, point3D[20], point3D[21]);
g.DrawLine(Pens.Black, point3D[21], point3D[22]);
g.DrawLine(Pens.Black, point3D[22], point3D[23]);
g.DrawLine(Pens.Black, point3D[23], point3D[20]);
g.Dispose(); //Clean-up
return tmpBmp;
}
public static Math3D.Point3D[] fillCubeVertices(int width, int height, int depth)
{
Math3D.Point3D[] verts = new Math3D.Point3D[24];
//front face
verts[0] = new Math3D.Point3D(0, 0, 0);
verts[1] = new Math3D.Point3D(0, height, 0);
verts[2] = new Math3D.Point3D(width, height, 0);
verts[3] = new Math3D.Point3D(width, 0, 0);
//back face
verts[4] = new Math3D.Point3D(0, 0, depth);
verts[5] = new Math3D.Point3D(0, height, depth);
verts[6] = new Math3D.Point3D(width, height, depth);
verts[7] = new Math3D.Point3D(width, 0, depth);
//left face
verts[8] = new Math3D.Point3D(0, 0, 0);
verts[9] = new Math3D.Point3D(0, 0, depth);
verts[10] = new Math3D.Point3D(0, height, depth);
verts[11] = new Math3D.Point3D(0, height, 0);
//right face
verts[12] = new Math3D.Point3D(width, 0, 0);
verts[13] = new Math3D.Point3D(width, 0, depth);
verts[14] = new Math3D.Point3D(width, height, depth);
verts[15] = new Math3D.Point3D(width, height, 0);
//top face
verts[16] = new Math3D.Point3D(0, height, 0);
verts[17] = new Math3D.Point3D(0, height, depth);
verts[18] = new Math3D.Point3D(width, height, depth);
verts[19] = new Math3D.Point3D(width, height, 0);
//bottom face
verts[20] = new Math3D.Point3D(0, 0, 0);
verts[21] = new Math3D.Point3D(0, 0, depth);
verts[22] = new Math3D.Point3D(width, 0, depth);
verts[23] = new Math3D.Point3D(width, 0, 0);
return verts;
}
public Cube(int Width, int Height, int Depth, Math3D.Point3D origin)
{
width = Width;
height = Height;
depth = Depth;
cubeOrigin = origin;
}
public Cube(int Width, int Height, int Depth)
{
width = Width;
height = Height;
depth = Depth;
cubeOrigin = new Math3D.Point3D(width / 2, height / 2, depth / 2);
}
public Cube(int side, Math3D.Point3D origin)
{
width = side;
height = side;
depth = side;
cubeOrigin = origin;
}
public Cube(int side)
{
width = side;
height = side;
depth = side;
cubeOrigin = new Math3D.Point3D(width / 2, height / 2, depth / 2);
}
public Bitmap drawCube(Point drawOrigin)
{
//FRONT FACE
//Top Left - 7
//Top Right - 4
//Bottom Left - 6
//Bottom Right - 5
//Vars
PointF[] point3D = new PointF[24]; //Will be actual 2D drawing points
Point tmpOrigin = new Point(0, 0);
Math3D.Point3D point0 = new Math3D.Point3D(0, 0, 0); //Used for reference
//Zoom factor is set with the monitor width to keep the cube from being distorted
double zoom = (double)Screen.PrimaryScreen.Bounds.Width / 1.5;
//Set up the cube
Math3D.Point3D[] cubePoints = fillCubeVertices(width, height, depth);
//Calculate the camera Z position to stay constant despite rotation
Math3D.Point3D anchorPoint = (Math3D.Point3D)cubePoints[4]; //anchor point
double cameraZ = -(((anchorPoint.X - cubeOrigin.X) * zoom) / cubeOrigin.X) + anchorPoint.Z;
camera1.Position = new Math3D.Point3D(cubeOrigin.X, cubeOrigin.Y, cameraZ);
//Apply Rotations, moving the cube to a corner then back to middle
cubePoints = Math3D.Translate(cubePoints, cubeOrigin, point0);
cubePoints = Math3D.RotateX(cubePoints, xRotation); //The order of these
cubePoints = Math3D.RotateY(cubePoints, yRotation); //rotations is the source
cubePoints = Math3D.RotateZ(cubePoints, zRotation); //of Gimbal Lock
cubePoints = Math3D.Translate(cubePoints, point0, cubeOrigin);
//Convert 3D Points to 2D
Math3D.Point3D vec;
for (int i = 0; i < point3D.Length; i++)
{
vec = cubePoints[i];
if (vec.Z - camera1.Position.Z >= 0)
{
point3D[i].X = (int)((double)-(vec.X - camera1.Position.X) / (-0.1f) * zoom) + drawOrigin.X;
point3D[i].Y = (int)((double)(vec.Y - camera1.Position.Y) / (-0.1f) * zoom) + drawOrigin.Y;
}
else
{
tmpOrigin.X = (int)((double)(cubeOrigin.X - camera1.Position.X) / (double)(cubeOrigin.Z - camera1.Position.Z) * zoom) + drawOrigin.X;
tmpOrigin.Y = (int)((double)-(cubeOrigin.Y - camera1.Position.Y) / (double)(cubeOrigin.Z - camera1.Position.Z) * zoom) + drawOrigin.Y;
point3D[i].X = (float)((vec.X - camera1.Position.X) / (vec.Z - camera1.Position.Z) * zoom + drawOrigin.X);
point3D[i].Y = (float)(-(vec.Y - camera1.Position.Y) / (vec.Z - camera1.Position.Z) * zoom + drawOrigin.Y);
point3D[i].X = (int)point3D[i].X;
point3D[i].Y = (int)point3D[i].Y;
}
}
//Now to plot out the points
Rectangle bounds = getBounds(point3D);
bounds.Width += drawOrigin.X;
bounds.Height += drawOrigin.Y;
Bitmap tmpBmp = new Bitmap(bounds.Width, bounds.Height);
Graphics g = Graphics.FromImage(tmpBmp);
//Back Face
//g.DrawLine(Pens.Black, point3D[0], point3D[1]);
//g.DrawLine(Pens.Black, point3D[1], point3D[2]);
//g.DrawLine(Pens.Black, point3D[2], point3D[3]);
//g.DrawLine(Pens.Black, point3D[3], point3D[0]);
//PointF[] p2 = new PointF[3];
//for (int i = 0; i < p2.Length; ++i)
// p2[i] = point3D[i];
//SolidBrush brush = new SolidBrush(Color.Magenta);
//g.FillPolygon((Brush)brush, p2);
//Front Face
//g.DrawLine(Pens.Black, point3D[4], point3D[5]);
//g.DrawLine(Pens.Black, point3D[5], point3D[6]);
//g.DrawLine(Pens.Black, point3D[6], point3D[7]);
//g.DrawLine(Pens.Black, point3D[7], point3D[4]);
//Right Face
//g.DrawLine(Pens.Black, point3D[8], point3D[9]);
//g.DrawLine(Pens.Black, point3D[9], point3D[10]);
//g.DrawLine(Pens.Black, point3D[10], point3D[11]);
//g.DrawLine(Pens.Black, point3D[11], point3D[8]);
//Left Face
//g.DrawLine(Pens.Black, point3D[12], point3D[13]);
//g.DrawLine(Pens.Black, point3D[13], point3D[14]);
//g.DrawLine(Pens.Black, point3D[14], point3D[15]);
//g.DrawLine(Pens.Black, point3D[15], point3D[12]);
//Bottom Face
//g.DrawLine(Pens.Black, point3D[16], point3D[17]);
//g.DrawLine(Pens.Black, point3D[17], point3D[18]);
//g.DrawLine(Pens.Black, point3D[18], point3D[19]);
//g.DrawLine(Pens.Black, point3D[19], point3D[16]);
g.DrawLine(Pens.Black, point3D[16], point3D[17]);
g.DrawLine(Pens.Black, point3D[17], point3D[18]);
g.DrawLine(Pens.Black, point3D[18], point3D[19]);
g.DrawLine(Pens.Black, point3D[19], point3D[16]);
PointF[] fillBase = { point3D[16], point3D[17], point3D[18], point3D[19] };
g.FillPolygon(Brushes.Magenta, fillBase);
//conect bottom corners
g.DrawLine(Pens.Black, point3D[16], point3D[0]);
g.DrawLine(Pens.Black, point3D[17], point3D[0]);
g.DrawLine(Pens.Black, point3D[18], point3D[0]);
g.DrawLine(Pens.Black, point3D[19], point3D[0]);
//Top Face
//g.DrawLine(Pens.Magenta, point3D[20], point3D[21]);
//g.DrawLine(Pens.Magenta, point3D[21], point3D[22]);
//g.DrawLine(Pens.Magenta, point3D[22], point3D[23]);
//g.DrawLine(Pens.Magenta, point3D[23], point3D[20]);
g.Dispose(); //Clean-up
return(tmpBmp);
}
