/// <summary>
/// Mirrors the specified coordinate about the specified line.
/// </summary>
/// <param name="coordinate">The coordinate.</param>
/// <param name="referenceLine">The reference line.</param>
/// <returns>CartesianCoordinate.</returns>
public static CartesianCoordinate MirrorAboutLine(
CartesianCoordinate coordinate,
LinearCurve referenceLine)
{
CartesianCoordinate reflectionLinePoint = referenceLine.CoordinateOfPerpendicularProjection(coordinate);
CartesianOffset deltaReflection = 2 * reflectionLinePoint.OffsetFrom(coordinate);
return(coordinate + deltaReflection);
}
/// <summary>
/// Skews the specified coordinate to the skewing of a containing box.
/// </summary>
/// <param name="coordinate">The coordinate.</param>
/// <param name="stationaryReferencePoint">The stationary reference point of the skew box.</param>
/// <param name="skewingReferencePoint">The skewing reference point of the skew box.</param>
/// <param name="magnitude">The magnitude to skew along the x-axis and y-axis.</param>
/// <returns>CartesianCoordinate.</returns>
public static CartesianCoordinate SkewWithinBox(
CartesianCoordinate coordinate,
CartesianCoordinate stationaryReferencePoint,
CartesianCoordinate skewingReferencePoint,
CartesianOffset magnitude)
{
CartesianOffset skewBoxOffset = skewingReferencePoint.OffsetFrom(stationaryReferencePoint);
double lambdaX = magnitude.X() / skewBoxOffset.Y();
double lambdaY = magnitude.Y() / skewBoxOffset.X();
return(Skew(coordinate, lambdaX, lambdaY));
}
/// <summary>
/// Skews the specified coordinate about the origin.
/// </summary>
/// <param name="coordinate">The coordinate.</param>
/// <param name="lambda">The magnitude to skew along the x-axis and y-axis.</param>
/// <returns>CartesianCoordinate.</returns>
public static CartesianCoordinate Skew(CartesianCoordinate coordinate, CartesianOffset lambda)
{
return(Skew(coordinate, lambda.X(), lambda.Y()));
}
