/// <summary>
/// Returns the aspect ratio of the triangle defined by 3 given points.
/// This is defined as the longest edge / shortest altitude.
/// </summary>
/// <param name="points"></param>
/// <returns></returns>
public static double GetTriAspect(Vec3d[] points)
{
double maxEdge = 0.0; // longest edge
double minAlt = Double.PositiveInfinity; // shortest altitude
for (int i = 0; i < 3; i++)
{
Vec3d p0 = points[i];
Vec3d p1 = points[(i + 1) % 3];
Vec3d p2 = points[(i + 2) % 3];
Vec3d v0 = p1 - p0;
Vec3d v1 = p2 - p1;
maxEdge = Math.Max(maxEdge, v0.SquareLength);
minAlt = Math.Min(minAlt, Vec3d.Reject(v1, v0).SquareLength);
}
return(Math.Sqrt(maxEdge) / Math.Sqrt(minAlt));
}
/// <summary>
/// Returns the aspect ratio of the triangle defined by 3 given points.
/// This is defined as the longest edge / shortest altitude.
/// </summary>
/// <param name="points"></param>
/// <returns></returns>
public static double GetTriAspect(Vec3d p0, Vec3d p1, Vec3d p2)
{
double maxEdge = 0.0; // longest edge
double minAlt = Double.PositiveInfinity; // shortest altitude
Vec3d v0 = p1 - p0;
Vec3d v1 = p2 - p1;
Vec3d v2 = p0 - p2;
Sub(v0, v1);
Sub(v1, v2);
Sub(v2, v0);
return(Math.Sqrt(maxEdge) / Math.Sqrt(minAlt));
void Sub(Vec3d a, Vec3d b)
{
maxEdge = Math.Max(maxEdge, a.SquareLength);
minAlt = Math.Min(minAlt, Vec3d.Reject(b, a).SquareLength);
}
}