/// <summary>
/// Projects the point onto the line.
/// </summary>
public Point ProjectOntoLine(ILinear projectOnto)
{
var vector = this - projectOnto.BasePoint;
var scalarProjection = vector.ScalarProjection(projectOnto.Direction);
return(projectOnto.GetPointAlongLine(scalarProjection));
}
/// <summary>
/// Returns true if the passed line is in the same plane as this one, AKA if it intersects or is parallel to the other line
/// </summary>
/// <param name="passedLine"></param>
/// <returns></returns>
public static bool IsCoplanarWith(this ILinear thisLine, ILinear otherLine)
{
if (thisLine.BasePoint.Z == otherLine.BasePoint.Z &&
thisLine.Direction.Z < 0.01 &&
otherLine.Direction.Z < 0.01)
{
return(true);
}
var point1Line1 = new[] { thisLine.BasePoint.X.InInches(), thisLine.BasePoint.Y.InInches(), thisLine.BasePoint.Z.InInches() };
var anotherPointOnLine1 = thisLine.GetPointAlongLine(1 * Unit.Inches);
var point2Line1 = new [] { anotherPointOnLine1.X.InInches(), anotherPointOnLine1.Y.InInches(), anotherPointOnLine1.Z.InInches() };
var point1Line2 = new [] { otherLine.BasePoint.X.InInches(), otherLine.BasePoint.Y.InInches(), otherLine.BasePoint.Z.InInches() };
var anotherPointOnLine2 = otherLine.GetPointAlongLine(2 * Unit.Inches);
var point2Line2 = new [] { anotherPointOnLine2.X.InInches(), anotherPointOnLine2.Y.InInches(), anotherPointOnLine2.Z.InInches() };
var pointsMatrix = new double[4, 4];
pointsMatrix.SetRow(0, point1Line1);
pointsMatrix.SetRow(1, point2Line1);
pointsMatrix.SetRow(2, point1Line2);
pointsMatrix.SetRow(3, point2Line2);
pointsMatrix.SetColumn(3, new double[] { 1, 1, 1, 1 });
var determinant = Math.Abs(pointsMatrix.Determinant());
// Tolerance is suspect given that the determinant has dimensions of (in.^4)
return(determinant * Unit.Inches == Unit.ZeroDistance);
}
