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)
{
width = Width;
height = Height;
depth = Depth;
cubeOrigin = new Math3D.Point3D(width / 2, height / 2, depth / 2);
}
public Cube(int side, Math3D.Point3D origin) : base(side, origin)
{
width = side;
height = side;
depth = side;
Origin = new Math3D.Point3D(origin.X, origin.Y, 0);
}
public Cube(int Width, int Height, int Depth, Math3D.Point3D origin) : base(Width, Height, Depth, origin)
{
width = Width;
height = Height;
depth = Depth;
Origin = new Math3D.Point3D(origin.X, origin.Y, 0);
}
public Cube(int side)
{
width = side;
height = side;
depth = side;
cubeOrigin = new Math3D.Point3D(width, height, depth);
camera1.Position = new Math3D.Point3D(cubeOrigin.X, cubeOrigin.Y, 1000);
}
public Cube(int side, Math3D.Point3D origin)
{
width = side;
height = side;
depth = side;
cubeOrigin = origin;
camera1.Position = new Math3D.Point3D(cubeOrigin.X, cubeOrigin.Y, 1000);
}
//отрисовка куба в перспективной проекции
public Bitmap drawCubePespect(Point drawOrigin)
{
PointF[] point3D = new PointF[8];
Point tmpOrigin = new Point(0, 0);
Math3D.Point3D point0 = new Math3D.Point3D(0, 0, 0);
Math3D.Point3D[] cubePoints = fillCubeVertices(width, height, depth);
//Перевод 3д точек в 2д
//Перспективная проекция
Math3D.Point3D vec;
for (int i = 0; i < point3D.Length; i++)
{
vec = cubePoints[i];
//double k = -(camera1.Position.Z);
//point3D[i].X = (int)((k * vec.X) / (vec.Z + k)) + drawOrigin.X;
//point3D[i].Y = (int)((k * vec.Y) / (vec.Z + k)) + drawOrigin.Y;
point3D[i].X = (int)((vec.X * camera1.Position.Z - vec.Z * camera1.Position.X) / (camera1.Position.Z - vec.Z) + drawOrigin.X);
point3D[i].Y = (int)((vec.Y * camera1.Position.Z - vec.Z * camera1.Position.Y) / (camera1.Position.Z - vec.Z) + drawOrigin.Y);
}
//расчёт точек
Rectangle bounds = getBounds(point3D);
bounds.Width += drawOrigin.X;
bounds.Height += drawOrigin.Y;
Bitmap tmpBmp = new Bitmap(bounds.Width, bounds.Height);
//задняя грань
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[0].X, (int)point3D[0].Y, (int)point3D[1].X, (int)point3D[1].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[1].X, (int)point3D[1].Y, (int)point3D[2].X, (int)point3D[2].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[2].X, (int)point3D[2].Y, (int)point3D[3].X, (int)point3D[3].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[3].X, (int)point3D[3].Y, (int)point3D[0].X, (int)point3D[0].Y);
//передняя грань
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[4].X, (int)point3D[4].Y, (int)point3D[5].X, (int)point3D[5].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[5].X, (int)point3D[5].Y, (int)point3D[6].X, (int)point3D[6].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[6].X, (int)point3D[6].Y, (int)point3D[7].X, (int)point3D[7].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[7].X, (int)point3D[7].Y, (int)point3D[4].X, (int)point3D[4].Y);
//боковые грани
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[0].X, (int)point3D[0].Y, (int)point3D[4].X, (int)point3D[4].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[1].X, (int)point3D[1].Y, (int)point3D[5].X, (int)point3D[5].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[2].X, (int)point3D[2].Y, (int)point3D[6].X, (int)point3D[6].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[3].X, (int)point3D[3].Y, (int)point3D[7].X, (int)point3D[7].Y);
return(tmpBmp);
}
public static Math3D.Point3D[] fillCubeVertices(int width, int height, int depth)
{
Math3D.Point3D[] verts = new Math3D.Point3D[8];
verts[0] = new Math3D.Point3D(-width / 2, -height / 2, -depth / 2);
verts[1] = new Math3D.Point3D(-width / 2, height / 2, -depth / 2);
verts[2] = new Math3D.Point3D(width / 2, height / 2, -depth / 2);
verts[3] = new Math3D.Point3D(width / 2, -height / 2, -depth / 2);
verts[4] = new Math3D.Point3D(-width / 2, -height / 2, depth / 2);
verts[5] = new Math3D.Point3D(-width / 2, height / 2, depth / 2);
verts[6] = new Math3D.Point3D(width / 2, height / 2, depth / 2);
verts[7] = new Math3D.Point3D(width / 2, -height / 2, depth / 2);
return(verts);
}
//отрисовка куба в параллельной проекции
public Bitmap drawCubeParallel(Point drawOrigin)
{
PointF[] point3D = new PointF[8];
Point tmpOrigin = new Point(0, 0);
Math3D.Point3D point0 = new Math3D.Point3D(0, 0, 0);
Math3D.Point3D[] cubePoints = fillCubeVertices(width, height, depth);
//Перевод 3д точек в 2д
//Параллельная проекция
Math3D.Point3D vec;
for (int i = 0; i < point3D.Length; i++)
{
vec = cubePoints[i];
point3D[i].X = (int)(vec.X + vec.Z / 2 + drawOrigin.X);
point3D[i].Y = (int)(vec.Y + vec.Z / 2 + drawOrigin.Y);
}
//расчёт точек
Rectangle bounds = getBounds(point3D);
bounds.Width += drawOrigin.X;
bounds.Height += drawOrigin.Y;
Bitmap tmpBmp = new Bitmap(bounds.Width, bounds.Height);
//задняя грань
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[0].X, (int)point3D[0].Y, (int)point3D[1].X, (int)point3D[1].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[1].X, (int)point3D[1].Y, (int)point3D[2].X, (int)point3D[2].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[2].X, (int)point3D[2].Y, (int)point3D[3].X, (int)point3D[3].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[3].X, (int)point3D[3].Y, (int)point3D[0].X, (int)point3D[0].Y);
//передняя грань
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[4].X, (int)point3D[4].Y, (int)point3D[5].X, (int)point3D[5].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[5].X, (int)point3D[5].Y, (int)point3D[6].X, (int)point3D[6].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[6].X, (int)point3D[6].Y, (int)point3D[7].X, (int)point3D[7].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[7].X, (int)point3D[7].Y, (int)point3D[4].X, (int)point3D[4].Y);
//боковые грани
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[0].X, (int)point3D[0].Y, (int)point3D[4].X, (int)point3D[4].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[1].X, (int)point3D[1].Y, (int)point3D[5].X, (int)point3D[5].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[2].X, (int)point3D[2].Y, (int)point3D[6].X, (int)point3D[6].Y);
Drawing.BresenhamLine(tmpBmp, Color.Black, Color.Black, (int)point3D[3].X, (int)point3D[3].Y, (int)point3D[7].X, (int)point3D[7].Y);
return(tmpBmp);
}
public void calcCube(Point drawOrigin)
{
PointF[] point3D = new PointF[24];
Point tmpOrigin = new Point(0, 0);
Math3D.Point3D point0 = new Math3D.Point3D(0, 0, 0);
double zoom = (double)Screen.PrimaryScreen.Bounds.Width / 1.5;
Math3D.Point3D[] cubePoints = fillCubeVertices(width, height, depth);
Math3D.Point3D anchorPoint = (Math3D.Point3D)cubePoints[4];
double cameraZ = -(((anchorPoint.X - cubeOrigin.X) * zoom) / cubeOrigin.X) + anchorPoint.Z;
camera1.Position = new Math3D.Point3D(cubeOrigin.X, cubeOrigin.Y, cameraZ);
cubePoints = Math3D.Translate(cubePoints, cubeOrigin, point0);
cubePoints = Math3D.RotateX(cubePoints, xRotation);
cubePoints = Math3D.RotateY(cubePoints, yRotation);
cubePoints = Math3D.RotateZ(cubePoints, zRotation);
cubePoints = Math3D.Translate(cubePoints, point0, cubeOrigin);
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;
}
}
a = Point.Round(point3D[4]);
b = Point.Round(point3D[5]);
c = Point.Round(point3D[6]);
d = Point.Round(point3D[7]);
}
//отрисовка куба в параллельной проекции
public Bitmap drawCubeParallel(Point drawOrigin)
{
PointF[] point3D = new PointF[8];
Point tmpOrigin = new Point(0, 0);
Math3D.Point3D point0 = new Math3D.Point3D(0, 0, 0);
Math3D.Point3D[] cubePoints = fillCubeVertices(width, height, depth);
//перемещение точек
cubePoints = Math3D.RotateX(cubePoints, xRotation);
cubePoints = Math3D.RotateY(cubePoints, yRotation);
cubePoints = Math3D.RotateZ(cubePoints, zRotation);
//Перевод 3д точек в 2д
//Параллельная проекция
Math3D.Point3D vec;
for (int i = 0; i < point3D.Length; i++)
{
vec = cubePoints[i];
point3D[i].X = (int)(vec.X /*+ vec.Z / 2*/ + drawOrigin.X);
point3D[i].Y = (int)(vec.Y /*+ vec.Z / 2*/ + drawOrigin.Y);
}
//расчёт точек
Rectangle bounds = getBounds(point3D);
bounds.Width += drawOrigin.X;
bounds.Height += drawOrigin.Y;
Bitmap tmpBmp = new Bitmap(bounds.Width, bounds.Height);
float[] dist = new float[8];
for (int i = 0; i < dist.Length; i++)
{
dist[i] = Dist(cubePoints[i], camera1.Position);
}
Color[] colorDist = new Color[8];
float minDist = dist[0];
float maxDist = dist[0];
for (int i = 0; i < dist.Length; i++)
{
if (maxDist < dist[i])
{
maxDist = dist[i];
}
if (minDist > dist[i])
{
minDist = dist[i];
}
}
for (int i = 0; i < colorDist.Length; i++)
{
colorDist[i] = Drawing.Interpolate(Color.Black, Color.Red, ((dist[i] - minDist) / (maxDist - minDist)));
}
//задняя грань
Drawing.BresenhamLine(tmpBmp, colorDist[0], colorDist[1], (int)point3D[0].X, (int)point3D[0].Y, (int)point3D[1].X, (int)point3D[1].Y);
Drawing.BresenhamLine(tmpBmp, colorDist[1], colorDist[2], (int)point3D[1].X, (int)point3D[1].Y, (int)point3D[2].X, (int)point3D[2].Y);
Drawing.BresenhamLine(tmpBmp, colorDist[2], colorDist[3], (int)point3D[2].X, (int)point3D[2].Y, (int)point3D[3].X, (int)point3D[3].Y);
Drawing.BresenhamLine(tmpBmp, colorDist[3], colorDist[0], (int)point3D[3].X, (int)point3D[3].Y, (int)point3D[0].X, (int)point3D[0].Y);
//передняя грань
Drawing.BresenhamLine(tmpBmp, colorDist[4], colorDist[5], (int)point3D[4].X, (int)point3D[4].Y, (int)point3D[5].X, (int)point3D[5].Y);
Drawing.BresenhamLine(tmpBmp, colorDist[5], colorDist[6], (int)point3D[5].X, (int)point3D[5].Y, (int)point3D[6].X, (int)point3D[6].Y);
Drawing.BresenhamLine(tmpBmp, colorDist[6], colorDist[7], (int)point3D[6].X, (int)point3D[6].Y, (int)point3D[7].X, (int)point3D[7].Y);
Drawing.BresenhamLine(tmpBmp, colorDist[7], colorDist[4], (int)point3D[7].X, (int)point3D[7].Y, (int)point3D[4].X, (int)point3D[4].Y);
//боковые грани
Drawing.BresenhamLine(tmpBmp, colorDist[0], colorDist[4], (int)point3D[0].X, (int)point3D[0].Y, (int)point3D[4].X, (int)point3D[4].Y);
Drawing.BresenhamLine(tmpBmp, colorDist[1], colorDist[5], (int)point3D[1].X, (int)point3D[1].Y, (int)point3D[5].X, (int)point3D[5].Y);
Drawing.BresenhamLine(tmpBmp, colorDist[2], colorDist[6], (int)point3D[2].X, (int)point3D[2].Y, (int)point3D[6].X, (int)point3D[6].Y);
Drawing.BresenhamLine(tmpBmp, colorDist[3], colorDist[7], (int)point3D[3].X, (int)point3D[3].Y, (int)point3D[7].X, (int)point3D[7].Y);
return(tmpBmp);
}
public float Dist(Math3D.Point3D a, Math3D.Point3D b)
{
return((float)Math.Sqrt((b.X - a.X) * (b.X - a.X) + (b.Y - a.Y) * (b.Y - a.Y) + (b.Z - a.Z) * (b.Z - a.Z)));
}
