/// <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 bool IsPerpendicularToVector3D()
{
return(UnitVector3D1.IsPerpendicularTo(Vector3D, 2));
}