-- File: Box.cdl -- Created: Mon Jan 28 11:51:08 1991 -- Author: Remi Lequette -- -- Modified : by Maria Pumborios at fri Apr 26 -- add the method distance ---Copyright: Matra Datavision 1991, 1992 class Box from Bnd ---Purpose: Describes a bounding box in 3D space. -- A bounding box is parallel to the axes of the coordinates -- system. If it is finite, it is defined by the three intervals: -- - [ Xmin,Xmax ], -- - [ Ymin,Ymax ], -- - [ Zmin,Zmax ]. -- A bounding box may be infinite (i.e. open) in one or more -- directions. It is said to be: -- - OpenXmin if it is infinite on the negative side of the "X Direction"; -- - OpenXmax if it is infinite on the positive side of the "X Direction"; -- - OpenYmin if it is infinite on the negative side of the "Y Direction"; -- - OpenYmax if it is infinite on the positive side of the "Y Direction"; -- - OpenZmin if it is infinite on the negative side of the "Z Direction"; -- - OpenZmax if it is infinite on the positive side of the "Z Direction"; -- - WholeSpace if it is infinite in all six directions. In this -- case, any point of the space is inside the box; -- - Void if it is empty. In this case, there is no point included in the box. -- A bounding box is defined by: -- - six bounds (Xmin, Xmax, Ymin, Ymax, Zmin and -- Zmax) which limit the bounding box if it is finite, -- - eight flags (OpenXmin, OpenXmax, OpenYmin, -- OpenYmax, OpenZmin, OpenZmax, -- WholeSpace and Void) which describe the -- bounding box if it is infinite or empty, and -- - a gap, which is included on both sides in any direction -- when consulting the finite bounds of the box. uses Pnt from gp, Lin from gp, Dir from gp, Trsf from gp, Pln from gp raises ConstructionError from Standard is Create returns Box from Bnd; ---Purpose: Creates an empty Box. -- The constructed box is qualified Void. Its gap is null. SetWhole(me : in out) is static; ---Purpose: Sets this bounding box so that it covers the whole of 3D space. -- It is infinitely long in all directions. SetVoid(me : in out) is static; ---Purpose: Sets this bounding box so that it is empty. All points are outside a void box. Set(me : in out; P : Pnt) is static; ---Purpose: Sets this bounding box so that it bounds -- - the point P. This involves first setting this bounding box -- to be void and then adding the point P. Set(me : in out; P : Pnt; D : Dir) is static; ---Purpose: Sets this bounding box so that it bounds --- the half-line defined by point P and direction D, i.e. all -- points M defined by M=P+u*D, where u is greater than -- or equal to 0, are inside the bounding volume. This -- involves first setting this box to be void and then adding the half-line. Update(me : in out; aXmin, aYmin, aZmin, aXmax, aYmax, aZmax : Real) ---Purpose: Enlarges this bounding box, if required, so that it -- contains at least: -- - interval [ aXmin,aXmax ] in the "X Direction", -- - interval [ aYmin,aYmax ] in the "Y Direction", -- - interval [ aZmin,aZmax ] in the "Z Direction"; is static; Update(me : in out; X,Y,Z : Real) ---Purpose: Adds a point of coordinates (X,Y,Z) to this bounding box. is static; GetGap(me) returns Real ---Purpose: Returns the gap of this bounding box. is static; SetGap(me : in out; Tol : Real) ---Purpose: Set the gap of this bounding box to abs(Tol). is static; Enlarge(me : in out; Tol : Real) ---Purpose: Enlarges the box with a tolerance value. -- (minvalues-Abs() and maxvalues+Abs()) -- This means that the minimum values of its X, Y and Z -- intervals of definition, when they are finite, are reduced by -- the absolute value of Tol, while the maximum values are -- increased by the same amount. is static; Get(me; aXmin, aYmin, aZmin, aXmax, aYmax, aZmax : out Real) ---Purpose: Returns the bounds of this bounding box. The gap is included. -- If this bounding box is infinite (i.e. "open"), returned values -- may be equal to +/- Precision::Infinite(). raises ConstructionError -- if IsVoid() is static; OpenXmin(me : in out) ---Purpose: The Box will be infinitely long in the Xmin -- direction. ---Level: Public is static; OpenXmax(me : in out) ---Purpose: The Box will be infinitely long in the Xmax -- direction. ---Level: Public is static; OpenYmin(me : in out) ---Purpose: The Box will be infinitely long in the Ymin -- direction. ---Level: Public is static; OpenYmax(me : in out) ---Purpose: The Box will be infinitely long in the Ymax -- direction. ---Level: Public is static; OpenZmin(me : in out) ---Purpose: The Box will be infinitely long in the Zmin -- direction. ---Level: Public is static; OpenZmax(me : in out) ---Purpose: The Box will be infinitely long in the Zmax -- direction. ---Level: Public is static; IsOpenXmin(me) returns Boolean ---Purpose: Returns true if this bounding box is open in the Xmin direction. is static; IsOpenXmax(me) returns Boolean ---Purpose: Returns true if this bounding box is open in the Xmax direction. is static; IsOpenYmin(me) returns Boolean ---Purpose: Returns true if this bounding box is open in the Ymix direction. is static; IsOpenYmax(me) returns Boolean ---Purpose: Returns true if this bounding box is open in the Ymax direction. is static; IsOpenZmin(me) returns Boolean ---Purpose: Returns true if this bounding box is open in the Zmin direction. is static; IsOpenZmax(me) returns Boolean ---Purpose: Returns true if this bounding box is open in the Zmax direction. is static; IsWhole(me) returns Boolean --- Purpose: Returns true if this bounding box is infinite in all 6 directions (WholeSpace flag). is static; IsVoid(me) returns Boolean ---Purpose: Returns true if this bounding box is empty (Void flag). is static; IsXThin(me; tol : Real) returns Boolean ---Purpose: true if xmax-xmin < tol. ---Level: Public is static; IsYThin(me; tol : Real) returns Boolean ---Purpose: true if ymax-ymin < tol. ---Level: Public is static; IsZThin(me; tol : Real) returns Boolean ---Purpose: true if zmax-zmin < tol. ---Level: Public is static; IsThin(me; tol : Real) returns Boolean ---Purpose: Returns true if IsXThin, IsYThin and IsZThin are all true, -- i.e. if the box is thin in all three dimensions. ---Level: Public is static; Transformed(me; T : Trsf from gp) ---Purpose: Returns a bounding box which is the result of applying the -- transformation T to this bounding box. -- Warning -- Applying a geometric transformation (for example, a -- rotation) to a bounding box generally increases its -- dimensions. This is not optimal for algorithms which use it. returns Box from Bnd is static; Add(me : in out; Other : Box) is static; ---Purpose: Adds the box to . ---Level: Public Add(me : in out; P : Pnt) is static; ---Purpose: Adds a Pnt to the box. ---Level: Public Add(me : in out; P : Pnt; D : Dir) is static; ---Purpose: Extends from the Pnt

in the direction . ---Level: Public Add(me : in out; D : Dir) is static; ---Purpose: Extends the Box in the given Direction, i.e. adds -- an half-line. The box may become infinite in -- 1,2 or 3 directions. ---Level: Public IsOut(me; P : Pnt from gp) returns Boolean ---Purpose: Returns True if the Pnt is out the box. ---Level: Public is static; IsOut(me; L : Lin from gp) returns Boolean ---Purpose: Returns False if the line intersects the box. ---Level: Public is static; IsOut(me; P : Pln from gp) returns Boolean ---Purpose: Returns False if the plane intersects the box. ---Level: Public is static; IsOut(me; Other : Box) returns Boolean is static; ---Purpose: Returns False if the intersects or is inside . ---Level: Public IsOut(me; Other : Box; T : Trsf from gp) returns Boolean is static; ---Purpose: Returns False if the transformed intersects -- or is inside . ---Level: Public IsOut(me; T1 : Trsf from gp; Other : Box; T2 : Trsf from gp) returns Boolean is static; ---Purpose: Returns False if the transformed intersects -- or is inside the transformed box . ---Level: Public IsOut(me; P1, P2: Pnt from gp; D: Dir from gp) returns Boolean is static; ---Purpose: Returns False if the flat band lying between two parallel -- lines represented by their reference points , and -- direction intersects the box. ---Level: Public Distance (me; Other : Box) returns Real is static; --- Purpose : Computes the minimum distance between two boxes. Dump (me) is static; SquareExtent(me) returns Real; --- Purpose : Computes the squared diagonal of me. ---C++: inline fields Xmin : Real; Xmax : Real; Ymin : Real; Ymax : Real; Zmin : Real; Zmax : Real; Gap : Real; Flags : Integer; -- 8 flags end Box ;