// Update is called once per frame
void Update()
{
#region Identical to EX_6_2
// Computes V1 and V2
Vector3 v1 = P1.transform.localPosition - P0.transform.localPosition;
Vector3 v2 = P2.transform.localPosition - P0.transform.localPosition;
if ((v1.magnitude < float.Epsilon) || (v2.magnitude < float.Epsilon))
{
return;
}
// Plane equation parameters
Vector3 vn = Vector3.Cross(v1, v2);
vn.Normalize(); // keep this vector normalized
float D = Vector3.Dot(vn, P0.transform.localPosition);
// Showing the plane equation is consistent
Pn.transform.localPosition = D * vn;
Ds.transform.localScale = new Vector3(D * 2f, D * 2f, D * 2f); // sphere expects diameter
// Set up for displaying Pt and Pon
Pt.SetActive(ShowPointOnPlane);
Pon.SetActive(ShowPointOnPlane);
float t = 0;
bool almostParallel = false;
if (ShowPointOnPlane)
{
float d = Vector3.Dot(vn, Pt.transform.localPosition); // distance
almostParallel = (Mathf.Abs(d) < float.Epsilon);
Pon.SetActive(!almostParallel);
if (!almostParallel)
{
t = D / d;
Pon.transform.localPosition = t * Pt.transform.localPosition;
}
}
#endregion
float l1 = v1.magnitude;
float l2 = v2.magnitude;
Vector3 v2p = l2 * Vector3.Cross(vn, v1).normalized;
P2p.transform.localPosition = P0.transform.localPosition + v2p;
bool inside = false;
if (!almostParallel)
{
Vector3 von = Pon.transform.localPosition - P0.transform.localPosition;
float d1 = Vector3.Dot(von, v1.normalized);
float d2 = Vector3.Dot(von, v2p.normalized);
inside = ((d1 >= 0) && (d1 <= l1)) && ((d2 >= 0) && (d2 <= l2));
if (inside)
{
Debug.Log("Inside: Pon is inside of the region defined by V1 and V2");
}
else
{
Debug.Log("Outside: Pon is outside of the region defined by V1 and V2");
}
}
#region For visualizing the vectors
ShowV1.VectorFromTo(P0.transform.localPosition, P1.transform.localPosition);
ShowV2.VectorFromTo(P0.transform.localPosition, P2.transform.localPosition);
ShowV3.VectorFromTo(P0.transform.localPosition, P2p.transform.localPosition);
ShowVn.VectorAt = P0.transform.localPosition;
ShowVn.Direction = vn;
ShowVn.Magnitude = 2f;
ShowNormal.VectorAt = Vector3.zero;
ShowNormal.Magnitude = Mathf.Abs(D) + 2f;
ShowNormal.Direction = vn;
ShowPlane.PlaneNormal = -vn;
Vector3 at = P0.transform.localPosition + P1.transform.localPosition + P2.transform.localPosition + Pn.transform.localPosition;
int c = 4;
float scale = 1.0f;
ShowPtLine.DrawVector = ShowPointOnPlane;
float da = v1.magnitude * scale;
float db = v2.magnitude * scale;
float du = Mathf.Max(da, db);
if (ShowPointOnPlane && (!almostParallel))
{
Pon.GetComponent <Renderer>().material.color = Color.white;
float don = (Pon.transform.localPosition - P0.transform.localPosition).magnitude * scale;
at += Pon.transform.localPosition;
c++;
du = Mathf.Max(du, don);
// Now the line
ShowPtLine.VectorColor = Color.black;
if (Vector3.Dot(Pon.transform.localPosition, Pt.transform.localPosition) < 0)
{
ShowPtLine.VectorColor = Color.red;
ShowPtLine.VectorFromTo(Pt.transform.localPosition, Pon.transform.localPosition);
}
else
{
if (Pon.transform.localPosition.magnitude > Pt.transform.localPosition.magnitude)
{
ShowPtLine.VectorFromTo(Vector3.zero, Pon.transform.localPosition);
}
else
{
ShowPtLine.VectorFromTo(Vector3.zero, Pt.transform.localPosition);
}
}
if (!inside)
{
Pon.GetComponent <Renderer>().material.color = Color.red;
}
}
if (du < 0.5f)
{
du = 0.5f;
}
ShowPlane.XSize = ShowPlane.ZSize = du;
ShowPlane.Center = at / c;
#endregion
}
// Update is called once per frame
void Update()
{
// Computes V1 and V2
Vector3 v1 = P1.transform.localPosition - P0.transform.localPosition;
Vector3 v2 = P2.transform.localPosition - P0.transform.localPosition;
if ((v1.magnitude < float.Epsilon) || (v2.magnitude < float.Epsilon))
{
return;
}
// Plane equation parameters
Vector3 vn = Vector3.Cross(v1, v2);
vn.Normalize(); // keep this vector normalized
float D = Vector3.Dot(vn, P0.transform.localPosition);
// Showing the plane equation is consistent
Pn.transform.localPosition = D * vn;
Ds.transform.localScale = new Vector3(D * 2f, D * 2f, D * 2f); // sphere expects diameter
// Set up for displaying Pt and Pon
Pt.SetActive(ShowPointOnPlane);
Pon.SetActive(ShowPointOnPlane);
float t = 0;
bool almostParallel = false;
if (ShowPointOnPlane)
{
float d = Vector3.Dot(vn, Pt.transform.localPosition); // distance
almostParallel = (Mathf.Abs(d) < float.Epsilon);
Pon.SetActive(!almostParallel);
if (!almostParallel)
{
t = D / d;
Pon.transform.localPosition = t * Pt.transform.localPosition;
}
}
#region For visualizing the vectors
ShowV1.VectorFromTo(P0.transform.localPosition, P1.transform.localPosition);
ShowV2.VectorFromTo(P0.transform.localPosition, P2.transform.localPosition);
ShowVn.VectorAt = P0.transform.localPosition;
ShowVn.Direction = vn;
ShowVn.Magnitude = 2f;
ShowNormal.VectorAt = Vector3.zero;
ShowNormal.Magnitude = Mathf.Abs(D) + 2f;
ShowNormal.Direction = vn;
ShowPlane.PlaneNormal = -vn;
Vector3 at = P0.transform.localPosition + P1.transform.localPosition + P2.transform.localPosition + Pn.transform.localPosition;
int c = 4;
float scale = 1.0f;
ShowPtLine.DrawVector = ShowPointOnPlane;
float d1 = v1.magnitude * scale;
float d2 = v2.magnitude * scale;
float du = Mathf.Max(d1, d2);
if (ShowPointOnPlane && (!almostParallel))
{
float don = (Pon.transform.localPosition - P0.transform.localPosition).magnitude * scale;
at += Pon.transform.localPosition;
c++;
du = Mathf.Max(du, don);
// Now the line
ShowPtLine.VectorColor = Color.black;
if (Vector3.Dot(Pon.transform.localPosition, Pt.transform.localPosition) < 0)
{
ShowPtLine.VectorColor = Color.red;
ShowPtLine.VectorFromTo(Pt.transform.localPosition, Pon.transform.localPosition);
}
else
{
if (Pon.transform.localPosition.magnitude > Pt.transform.localPosition.magnitude)
{
ShowPtLine.VectorFromTo(Vector3.zero, Pon.transform.localPosition);
}
else
{
ShowPtLine.VectorFromTo(Vector3.zero, Pt.transform.localPosition);
}
}
}
if (du < 0.5f)
{
du = 0.5f;
}
ShowPlane.XSize = ShowPlane.ZSize = du;
ShowPlane.Center = at / c;
#endregion
}