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...Orientation in 3D of a point relative to a plane?
Autor: Arash Partow
Homepage: http://www.partow.net
[ Print tip ]  

Tip Rating (10):  
     


function Orientation(x1, y1, z1, x2, y2, z2, x3, y3, z3, Px, Py, Pz: Double): Integer;
var  
  
Px1, Px2, Px3: Double;
  Py1, Py2, Py3: Double;
  Pz1, Pz2, Pz3: Double;
  Orin: Double;
begin
  
Px1 := x1 - px;
  Px2 := x2 - px;
  Px3 := x3 - px;

  Py1 := y1 - py;
  Py2 := y2 - py;
  Py3 := y3 - py;

  Pz1 := z1 - pz;
  Pz2 := z2 - pz;
  Pz3 := z3 - pz;

  Orin := Px1 * (Py2 * Pz3 - Pz2 * Py3) +
    Px2 * (Py3 * Pz1 - Pz3 * Py1) +
    Px3 * (Py1 * Pz2 - Pz1 * Py2);

  if Orin < 0.0 then Result := -1    (* Orientaion is below plane                      *)
  
else if Orin > 0.0 then Result :=
      +1   (* Orientaion is above plane                      *)
  
else
    
Result := 0;                    (* Orientaion is coplanar to plane if result is 0 *)
end;
(* End Of Orientation *)


 

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