// window
public MainWindow() : base(WindowType.Toplevel)
{
Build();
isInitialized = false;
random = new Random();
// visual
surface = new ImageSurface(Format.RGB24, 2000, 2000);
root.ExposeEvent += (sender, e) => {
Context gc = Gdk.CairoHelper.Create(root.GdkWindow);
gc.SetSourceSurface(surface, 0, 0);
gc.Paint();
gc.Dispose();
};
root.AddEvents((int)Gdk.EventMask.ButtonPressMask);
// geometry
double dx = Math.Sin(INIT_ROT) * Math.Sin(Y_ANG);
double dy = Math.Cos(Y_ANG);
double dz = Math.Cos(INIT_ROT) * Math.Sin(Y_ANG);
UnitVector3D norm = new UnitVector3D(dx, dy, dz);
Point3D rootPoint = norm.ScaleBy(INIT_DIST).ToPoint3D();
proj = new Plane(rootPoint, norm);
yAxis = proj.Project(new UnitVector3D(0, 1, 0)).Direction;
xAxis = yAxis.CrossProduct(norm);
}
protected void HScaleDistance(object sender, EventArgs e)
{
UnitVector3D norm = proj.Normal;
Point3D rootPoint = norm.ScaleBy(hscaleDist.Value).ToPoint3D();
proj = new Plane(rootPoint, norm);
RenderRoot();
}
/// <summary>
/// Initializes a new instance of the <see cref="CoordinateSystemVelocity3D"/> struct.
/// </summary>
/// <param name="originCoordinateSystem">The origin coordinate system.</param>
/// <param name="angularAxis">The axis of angular velocity.</param>
/// <param name="angularSpeed">The angular speed around the axis.</param>
/// <param name="linearDirection">The direction of linear velocity.</param>
/// <param name="linearSpeed">The linear speed.</param>
public CoordinateSystemVelocity3D(
CoordinateSystem originCoordinateSystem,
UnitVector3D angularAxis,
double angularSpeed,
UnitVector3D linearDirection,
double linearSpeed)
: this(originCoordinateSystem, angularAxis.ScaleBy(angularSpeed), linearDirection.ScaleBy(linearSpeed))
{
}
// movement in xyz
// move in a direction (supposedly a unit vector) for N meters
public void MoveInDirection(UnitVector3D direction, double meters)
{
// move in current direction for this many meters
// what is the current unit vector for heading?
Vector3D movement = direction.ScaleBy(meters); // movement vector, and then add to current position
P.X += movement.X;
P.Y += movement.Y;
P.Z += movement.Z;
}
protected void HScaleRotate(object sender, EventArgs e)
{
double ang = hscaleRot.Value * Math.PI;
double dx = Math.Sin(ang) * Math.Sin(Y_ANG);
double dy = Math.Cos(Y_ANG);
double dz = Math.Cos(ang) * Math.Sin(Y_ANG);
UnitVector3D norm = new UnitVector3D(dx, dy, dz);
Point3D rootPoint = norm.ScaleBy(hscaleDist.Value).ToPoint3D();
proj = new Plane(rootPoint, norm);
RenderRoot();
}
/// <summary>
/// Initializes a new instance of the <see cref="Rectangle3D"/> struct.
/// </summary>
/// <param name="origin">The origin of the rectangle.</param>
/// <param name="widthAxis">The horizontal width axis of the rectangle.</param>
/// <param name="heightAxis">The vertical height axis of the rectangle.</param>
/// <param name="left">The left edge of the rectangle (relative to origin along the width axis).</param>
/// <param name="bottom">The bottom edge of the rectangle (relative to origin along the height axis).</param>
/// <param name="width">The width of the rectangle (must be positive).</param>
/// <param name="height">The height of the rectangle (must be positive).</param>
/// <remarks>
/// The edges of the rectangle are aligned to the specified width and height axes, which must be perpendicular.
/// </remarks>
public Rectangle3D(
Point3D origin,
UnitVector3D widthAxis,
UnitVector3D heightAxis,
double left,
double bottom,
double width,
double height)
{
if (!widthAxis.IsPerpendicularTo(heightAxis, 0.001))
{
throw new ArgumentException("The width and height axes must be perpendicular to each other.");
}
if (width < 0 || height < 0)
{
throw new ArgumentException("Width and height must be non-negative values");
}
if (width == 0 || height == 0)
{
this.IsDegenerate = true;
}
else
{
this.IsDegenerate = false;
}
this.Width = width;
this.Height = height;
this.BottomLeft = origin + widthAxis.ScaleBy(left) + heightAxis.ScaleBy(bottom);
var widthVector = widthAxis.ScaleBy(width);
var heightVector = heightAxis.ScaleBy(height);
this.BottomRight = this.BottomLeft + widthVector;
this.TopLeft = this.BottomLeft + heightVector;
this.TopRight = this.TopLeft + widthVector;
}
public Vector3D ScaleBy()
{
return(UnitVector3D1.ScaleBy(2));
}
/// <summary>
/// Initializes a new instance of the <see cref="AngularVelocity3D"/> struct.
/// </summary>
/// <param name="originRotation">The origin of rotation.</param>
/// <param name="axis">The axis of velocity.</param>
/// <param name="speed">The angular speed (radians/time).</param>
public AngularVelocity3D(Matrix <double> originRotation, UnitVector3D axis, double speed)
: this(originRotation, axis.ScaleBy(speed))
{
}
/// <summary>
/// Initializes a new instance of the <see cref="LinearVelocity3D"/> struct.
/// </summary>
/// <param name="origin">The origin of the velocity.</param>
/// <param name="unitVector">The unit vector indicating the direction of velocity.</param>
/// <param name="speed">The speed in the specified direction.</param>
public LinearVelocity3D(Point3D origin, UnitVector3D unitVector, double speed)
: this(origin, unitVector.ScaleBy(speed))
{
}