---Copyright:   Matra Datavision 1991

class Vec   from gp   inherits Storable 

        --- Purpose :
        --  Defines a non-persistent vector in 3D space.


uses Ax1  from gp, 
     Ax2  from gp, 
     Dir  from gp, 
     Pnt  from gp,
     Trsf from gp,
     XYZ  from gp

raises ConstructionError        from Standard,
       DomainError              from Standard,
       OutOfRange               from Standard,
       VectorWithNullMagnitude  from gp

is
 
  Create   returns Vec;
        ---C++: inline
        --- Purpose : Creates a zero vector.


  Create (V : Dir)  returns Vec;
        ---C++: inline
        --- Purpose : Creates a unitary vector from a direction V.

  Create (Coord : XYZ)  returns Vec;
        ---C++: inline
        --- Purpose : Creates a vector with a triplet of coordinates.

  Create (Xv, Yv, Zv : Real)  returns Vec;
        ---C++: inline
        --- Purpose : Creates a point with its three cartesian coordinates.

  Create (P1, P2 : Pnt)  returns Vec;
        ---C++: inline
        --- Purpose :
        --  Creates a vector from two points. The length of the vector
        --  is the distance between P1 and P2

  SetCoord(me: in out; Index : Integer; Xi : Real)
    	---C++: inline
        --- Purpose : Changes the coordinate of range Index 
        --  Index = 1 => X is modified
        --  Index = 2 => Y is modified
        --  Index = 3 => Z is modified
     raises OutOfRange
        --- Purpose : Raised if Index != {1, 2, 3}.
     is static;

  SetCoord (me : in out; Xv, Yv, Zv : Real)   is static;
        ---C++: inline  
        ---Purpose: For this vector, assigns
    	-- -   the values Xv, Yv and Zv to its three coordinates.

  SetX (me: in out; X : Real)                 is static;
        ---Purpose: Assigns the given value to the X coordinate of this vector.
        ---C++: inline
	
  SetY (me: in out; Y : Real)                 is static;
        ---Purpose: Assigns the given value to the X coordinate of this vector.  
        ---C++: inline
	
  SetZ (me: in out; Z : Real)                 is static;
         ---Purpose: Assigns the given value to the X coordinate of this vector. 
        ---C++: inline
	
  SetXYZ (me: in out; Coord : XYZ)            is static;
        ---Purpose: Assigns the three coordinates of Coord to this vector.
        ---C++: inline
	
  Coord (me; Index : Integer)   returns Real
        ---C++: inline
        --- Purpose :
        --  Returns the coordinate of range Index :
        --  Index = 1 => X is returned
        --  Index = 2 => Y is returned
        --  Index = 3 => Z is returned
      raises OutOfRange
        --- Purpose : Raised if Index != {1, 2, 3}.
      is static;

  Coord (me; Xv, Yv, Zv : out Real)   is static;
        ---Purpose: For this vector returns its three coordinates Xv, Yv, and Zvinline
        ---C++: inline
	
  X (me)  returns Real                is static;
        ---Purpose: For this vector, returns its X coordinate.
        ---C++: inline
	
  Y (me)  returns Real                is static;
	---Purpose: For this vector, returns its Y coordinate.
        ---C++: inline 
	
  Z (me)  returns Real                is static;
    	---Purpose: For this vector, returns its Z  coordinate.
        ---C++: inline   
	
  XYZ (me)  returns XYZ               is static;
    	---Purpose:    For this vector, returns
    	-- -   its three coordinates as a number triple  
        ---C++: inline
    	---C++: return const&
 
  IsEqual (me; Other : Vec; LinearTolerance, AngularTolerance : Real)
     returns Boolean
       --- Purpose :
       --  Returns True if the two vectors have the same magnitude value
       --  and the same direction. The precision values are LinearTolerance
       --  for the magnitude and AngularTolerance for the direction.
     is static;

  IsNormal (me; Other : Vec; AngularTolerance : Real)     returns Boolean
        --- Purpose :
        --  Returns True if abs(<me>.Angle(Other) - PI/2.) <= AngularTolerance 
    	--   Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or
        --  Other.Magnitude() <= Resolution from gp
	---C++: inline  
     raises VectorWithNullMagnitude
     
     is static;

  IsOpposite (me; Other : Vec; AngularTolerance : Real)   returns Boolean
        --- Purpose :
        --  Returns True if PI - <me>.Angle(Other) <= AngularTolerance 
    	--  Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or
        --  Other.Magnitude() <= Resolution from gp
    	---C++: inline    
     raises VectorWithNullMagnitude
      
     is static;

  IsParallel (me; Other : Vec; AngularTolerance : Real)   returns Boolean
        --- Purpose :
        --  Returns True if Angle(<me>, Other) <= AngularTolerance or
        --  PI - Angle(<me>, Other) <= AngularTolerance
        --  This definition means that two parallel vectors cannot define
        --  a plane but two vectors with opposite directions are considered
        --  as parallel. Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution or
        --  Other.Magnitude() <= Resolution from gp
        ---C++: inline  
     raises VectorWithNullMagnitude
     
     is static;

  Angle (me; Other : Vec)  returns Real
        --- Purpose :
        --  Computes the angular value between <me> and <Other>
        --  Returns the angle value between 0 and PI in radian.
    	--    Raises VectorWithNullMagnitude if <me>.Magnitude() <= Resolution from gp or
        --  Other.Magnitude() <= Resolution because the angular value is
        --  indefinite if one of the vectors has a null magnitude.
        ---C++: inline  
     raises VectorWithNullMagnitude
       
     is static;


  AngleWithRef (me; Other , VRef : Vec)   returns Real
        ---C++: inline  
        --- Purpose : Computes the angle, in radians, between this vector and
    	-- vector Other. The result is a value between -Pi and Pi.
    	-- For this, VRef defines the positive sense of rotation: the
    	-- angular value is positive, if the cross product this ^ Other
    	-- has the same orientation as VRef relative to the plane
    	-- defined by the vectors this and Other. Otherwise, the
    	-- angular value is negative.
    	-- Exceptions
    	-- gp_VectorWithNullMagnitude if the magnitude of this
    	-- vector, the vector Other, or the vector VRef is less than or
    	-- equal to gp::Resolution().
    	-- Standard_DomainError if this vector, the vector Other,
    	-- and the vector VRef are coplanar, unless this vector and
    	-- the vector Other are parallel.
       
     raises VectorWithNullMagnitude,
          
            DomainError
       
     is static;

  Magnitude (me)   returns Real        is static;
        ---Purpose: Computes the magnitude of this vector.
        ---C++: inline
	
  SquareMagnitude (me)   returns Real  is static;
         ---Purpose: Computes the square magnitude of this vector.
	 ---C++: inline

        --- Purpose : Adds two vectors

  Add (me : in out; Other : Vec)          is static;
        ---C++: inline
        ---C++: alias operator +=

  Added (me; Other : Vec)  returns Vec    is static;
        ---C++: inline
        ---C++: alias operator +
  --- Purpose : Adds two vectors
        --- Purpose : Subtracts two vectors

  Subtract (me : in out; Right : Vec)       is static;
        ---C++: inline
        ---C++: alias operator -=

  Subtracted (me; Right : Vec)  returns Vec  is static;
        ---C++: inline
        ---C++: alias operator -
	--- Purpose : Subtracts two vectors
        --- Purpose : Multiplies a vector by a scalar

  Multiply (me : in out; Scalar : Real)           is static;
        ---C++: inline  
        ---C++: alias operator *=

  Multiplied (me; Scalar : Real)   returns Vec   is static;
        ---C++: inline  
        ---C++: alias operator *
    --- Purpose : Multiplies a vector by a scalar
        --- Purpose : Divides a vector by a scalar

  Divide (me : in out; Scalar : Real)             is static;
        ---C++: inline  
        ---C++: alias operator /=

  Divided (me; Scalar : Real)   returns Vec      is static;
        ---C++: inline  
        ---C++: alias operator /
        --- Purpose : Divides a vector by a scalar

        --- Purpose : computes the cross product between two vectors
   
  Cross (me : in out; Right : Vec)                     is static;
        ---C++: inline  
        ---C++: alias operator ^=

  Crossed (me; Right : Vec)  returns Vec               is static;
        --- Purpose : computes the cross product between two vectors
        ---C++: inline  
        ---C++: alias operator ^
	
  CrossMagnitude (me; Right : Vec) returns Real        is static;
        --- Purpose :
        --  Computes the magnitude of the cross 
        --  product between <me> and Right. 
        --  Returns || <me> ^ Right ||
        ---C++: inline
	
  CrossSquareMagnitude (me; Right : Vec) returns Real  is static;
        --- Purpose :
        --  Computes the square magnitude of
        --  the cross product between <me> and Right.
        --  Returns || <me> ^ Right ||**2
        ---C++: inline

        --- Purpose : Computes the triple vector product.
        --  <me> ^ (V1 ^ V2)

  CrossCross (me : in out; V1, V2 : Vec)          is static;
        ---C++: inline  

  CrossCrossed (me; V1, V2 : Vec)   returns Vec   is static;
        ---C++: inline  

        --- Purpose : Computes the triple vector product.
        --  <me> ^ (V1 ^ V2)
    
  Dot (me; Other : Vec)  returns Real            is static;
        ---C++: inline  
        ---C++: alias operator *
        --- Purpose : computes the scalar product

  DotCross (me; V1, V2 : Vec)  returns Real      is static;
        ---C++: inline  
        --- Purpose : Computes the triple scalar product <me> * (V1 ^ V2).


        --- Purpose : normalizes a vector
        --  Raises an exception if the magnitude of the vector is 
        --  lower or equal to Resolution from gp.

  Normalize (me : in out)       raises ConstructionError   is static;
        ---C++: inline  

  Normalized (me)  returns Vec  raises ConstructionError   is static;
    	--- Purpose : normalizes a vector
        --  Raises an exception if the magnitude of the vector is 
        --  lower or equal to Resolution from gp.
        ---C++: inline
	
        --- Purpose : Reverses the direction of a vector

  Reverse (me : in out)        is static;
        ---C++: inline  

  Reversed (me)  returns Vec   is static;
        --- Purpose : Reverses the direction of a vector
        ---C++: inline  
    	---C++: alias operator -

   SetLinearForm (me : in out;
                 A1 : Real; V1 : Vec; A2 : Real; V2 : Vec;
                 A3 : Real; V3 : Vec; V4 : Vec)
     is static;
        --- Purpose :
        --  <me> is setted to the following linear form :
        --  A1 * V1 + A2 * V2 + A3 * V3 + V4
        ---C++: inline

  SetLinearForm (me : in out; 
                 A1 : Real; V1 : Vec; A2 : Real; V2 : Vec; A3 : Real; V3 : Vec)
     is static;
        --- Purpose :
        --  <me> is setted to the following linear form :
        --  A1 * V1 + A2 * V2 + A3 * V3
        ---C++: inline

  SetLinearForm (me : in out;
                 A1 : Real; V1 : Vec; A2 : Real; V2 : Vec; V3 : Vec)
     is static;
        --- Purpose :
        --  <me> is setted to the following linear form :
        --  A1 * V1 + A2 * V2 + V3
        ---C++: inline

  SetLinearForm (me : in out; A1 : Real; V1 : Vec; A2 : Real; V2 : Vec)
     is static;
        --- Purpose :
        --  <me> is setted to the following linear form :
        --  A1 * V1 + A2 * V2
        ---C++: inline

  SetLinearForm (me : in out; A1 : Real; V1, V2 : Vec)
     is static;
        --- Purpose :
        --  <me> is setted to the following linear form : A1 * V1 + V2
        ---C++: inline

  SetLinearForm (me : in out; V1, V2 : Vec)
     is static;
        --- Purpose :
        --  <me> is setted to the following linear form : V1 + V2
        ---C++: inline 

  Mirror (me : in out; V : Vec)          is static;

  Mirrored (me; V : Vec) returns Vec     is static;
    	--- Purpose :
        --  Performs the symmetrical transformation of a vector
        --  with respect to the vector V which is the center of 
        --  the  symmetry.
       
  Mirror (me : in out; A1 : Ax1)         is static;

  Mirrored (me; A1 : Ax1)  returns Vec   is static;
	--- Purpose :
        --  Performs the symmetrical transformation of a vector
        --  with respect to an axis placement which is the axis
        --  of the symmetry.
      
  Mirror (me : in out; A2 : Ax2)         is static;

  Mirrored (me; A2 : Ax2)   returns Vec  is static;
 --- Purpose :
        --  Performs the symmetrical transformation of a vector
        --  with respect to a plane. The axis placement A2 locates 
        --  the plane of the symmetry : (Location, XDirection, YDirection).

     
  Rotate (me : in out; A1 : Ax1; Ang : Real)       is static;
       ---C++: inline

  Rotated (me; A1 : Ax1; Ang : Real)  returns Vec  is static;
    	--- Purpose :
        --  Rotates a vector. A1 is the axis of the rotation.
        --  Ang is the angular value of the rotation in radians.
        ---C++: inline
       
    Scale (me : in out; S : Real)       is static;
       ---C++: inline
       
    Scaled (me; S : Real)  returns Vec  is static;
    	--- Purpose : Scales a vector. S is the scaling value.
       	---C++: inline
        --- Purpose : Transforms a vector with the transformation T.

  Transform (me : in out; T : Trsf)         is static;

  Transformed (me; T : Trsf)   returns Vec  is static;
       ---C++: inline  
       --- Purpose : Transforms a vector with the transformation T.      
fields

  coord : XYZ;

end;