public static bool operator==(Matrix23 m1, Matrix23 m2)
{
return
(SysMath.Abs(m1.S00 - m2.S00) <= EqualityTolerence &&
SysMath.Abs(m1.S10 - m2.S10) <= EqualityTolerence &&
SysMath.Abs(m1.S01 - m2.S01) <= EqualityTolerence &&
SysMath.Abs(m1.S11 - m2.S11) <= EqualityTolerence &&
SysMath.Abs(m1.S02 - m2.S02) <= EqualityTolerence &&
SysMath.Abs(m1.S12 - m2.S12) <= EqualityTolerence);
}
/// <summary>
/// Find the crossing angle between lines passing through two vectors.
/// </summary>
/// <param name="v1">The Vector2 to discern the angle from </param>
/// <param name="v2">The Vector2 to discern the angle to</param>
/// <returns>The crossing angle.</returns>
public static double CrossingAngle(Vector2 v1, Vector2 v2)
{
var dot = SysMath.Abs(v1.Normal.Dot(v2.Normal));
var error = dot - 1;
if (error > 0)
{
dot -= error;
}
return(SysMath.Acos(dot));
}
/// <summary>
/// Checks if a vector a unit vector
/// Checks if the Vector2 has been normalized
/// Checks if a vector has a magnitude of 1
/// </summary>
/// <param name="v1">
/// The vector to be checked for Normalization
/// </param>
/// <returns>Truth if the vector is a unit vector</returns>
public static bool IsUnitVector(Vector2 v1)
{
return(SysMath.Abs(v1.Length - 1) <= EqualityTolerence);
}
public double DistanceToLine(Vector2 l1, Vector2 l2)
{
return(SysMath.Abs((l2.X - l1.X) * (l1.Y - Y) - (l1.X - X) * (l2.Y - l1.Y)) / l1.Distance(l2));
}
/// <summary>
/// Returns Vector2 representing the absolute values of the vector
/// </summary>
public static Vector2 Abs(Vector2 v1)
{
return(new Vector2(SysMath.Abs(v1.X), SysMath.Abs(v1.Y)));
}
/// <summary>
/// Compare two Vectors for equality.
/// Are two Vectors equal.
/// </summary>
/// <param name="v1">Vector2 to be compared for equality </param>
/// <param name="v2">Vector2 to be compared to </param>
/// <returns>Boolean decision (truth for equality)</returns>
public static bool operator==(Vector2 v1, Vector2 v2)
{
return(SysMath.Abs(v1.X - v2.X) <= EqualityTolerence && SysMath.Abs(v1.Y - v2.Y) <= EqualityTolerence);
}