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-- File: GeomAPI_ExtremaCurveSurface.cdl
-- Created: Fri Mar 18 11:30:11 1994
-- Author: Bruno DUMORTIER
-- <dub@fuegox>
---Copyright: Matra Datavision 1994
class ExtremaCurveSurface from GeomAPI
---Purpose: Describes functions for computing all the extrema
-- between a curve and a surface.
-- An ExtremaCurveSurface algorithm minimizes or
-- maximizes the distance between a point on the curve
-- and a point on the surface. Thus, it computes start
-- and end points of perpendiculars common to the
-- curve and the surface (an intersection point is not an
-- extremum except where the curve and the surface
-- are tangential at this point).
-- Solutions consist of pairs of points, and an extremum
-- is considered to be a segment joining the two points of a solution.
-- An ExtremaCurveSurface object provides a framework for:
-- - defining the construction of the extrema,
-- - implementing the construction algorithm, and
-- - consulting the results.
-- Warning
-- In some cases, the nearest points between a curve
-- and a surface do not correspond to one of the
-- computed extrema. Instead, they may be given by:
-- - a point of a bounding curve of the surface and one of the following:
-- - its orthogonal projection on the curve,
-- - a limit point of the curve; or
-- - a limit point of the curve and its projection on the surface; or
-- - an intersection point between the curve and the surface.
uses
Curve from Geom,
Surface from Geom,
ExtCS from Extrema,
Pnt from gp,
Length from Quantity,
Parameter from Quantity
raises
OutOfRange from Standard,
NotDone from StdFail
is
Create
---Purpose: Constructs an empty algorithm for computing
-- extrema between a curve and a surface. Use an
-- Init function to define the curve and the surface on
-- which it is going to work.
returns ExtremaCurveSurface from GeomAPI;
Create(Curve : Curve from Geom;
Surface : Surface from Geom)
---Purpose: Computes the extrema distances between the
-- curve <C> and the surface <S>.
---Level: Public
returns ExtremaCurveSurface from GeomAPI;
Create(Curve : Curve from Geom;
Surface : Surface from Geom;
Wmin, Wmax : Parameter from Quantity;
Umin, Umax : Parameter from Quantity;
Vmin, Vmax : Parameter from Quantity)
---Purpose: Computes the extrema distances between the
-- curve <C> and the surface <S>. The solution
-- point are computed in the domain [Wmin,Wmax] of
-- the curve and in the domain [Umin,Umax]
-- [Vmin,Vmax] of the surface.
-- Warning
-- Use the function NbExtrema to obtain the number
-- of solutions. If this algorithm fails, NbExtrema returns 0.
returns ExtremaCurveSurface from GeomAPI;
Init(me : in out;
Curve : Curve from Geom;
Surface : Surface from Geom)
---Purpose: Computes the extrema distances between the
-- curve <C> and the surface <S>.
---Level: Public
is static;
Init(me : in out;
Curve : Curve from Geom;
Surface : Surface from Geom;
Wmin, Wmax : Parameter from Quantity;
Umin, Umax : Parameter from Quantity;
Vmin, Vmax : Parameter from Quantity)
---Purpose: Computes the extrema distances between the
-- curve <C> and the surface <S>. The solution
-- point are computed in the domain [Wmin,Wmax] of
-- the curve and in the domain [Umin,Umax]
-- [Vmin,Vmax] of the surface.
-- Warning
-- Use the function NbExtrema to obtain the number
-- of solutions. If this algorithm fails, NbExtrema returns 0.
is static;
NbExtrema(me)
---Purpose: Returns the number of extrema computed by this algorithm.
-- Note: if this algorithm fails, NbExtrema returns 0.
returns Integer from Standard
---C++: alias "Standard_EXPORT operator Standard_Integer() const;"
is static;
Points(me; Index : Integer from Standard;
P1, P2 : out Pnt from gp )
---Purpose: Returns the points P1 on the curve and P2 on the
-- surface, which are the ends of the extremum of index
-- Index computed by this algorithm.
-- Exceptions
-- Standard_OutOfRange if Index is not in the range [
-- 1,NbExtrema ], where NbExtrema is the
-- number of extrema computed by this algorithm.
raises
OutOfRange from Standard
is static;
Parameters(me; Index : Integer from Standard;
W : out Parameter from Quantity;
U, V : out Parameter from Quantity)
---Purpose: Returns the parameters W of the point on the curve,
-- and (U,V) of the point on the surface, which are the
-- ends of the extremum of index Index computed by this algorithm.
-- Exceptions
-- Standard_OutOfRange if Index is not in the range [
-- 1,NbExtrema ], where NbExtrema is the
-- number of extrema computed by this algorithm.
raises
OutOfRange from Standard
is static;
Distance(me; Index : Integer from Standard)
returns Length from Quantity
---Purpose: Computes the distance between the end points of the
-- extremum of index Index computed by this algorithm.
-- Exceptions
-- Standard_OutOfRange if index is not in the range [
-- 1,NbExtrema ], where NbExtrema is the
-- number of extrema computed by this algorithm.
raises
OutOfRange from Standard
is static;
NearestPoints(me; PC, PS : out Pnt from gp)
---Purpose: Returns the points PC on the curve and PS on the
-- surface, which are the ends of the shortest extremum computed by this algorithm.
-- Exceptions - StdFail_NotDone if this algorithm fails.
raises
NotDone from StdFail
is static;
LowerDistanceParameters(me; W : out Parameter from Quantity;
U, V : out Parameter from Quantity)
---Purpose: Returns the parameters W of the point on the curve
-- and (U,V) of the point on the surface, which are the
-- ends of the shortest extremum computed by this algorithm.
-- Exceptions - StdFail_NotDone if this algorithm fails.
raises
NotDone from StdFail
is static;
LowerDistance(me)
---Purpose: Computes the distance between the end points of the
-- shortest extremum computed by this algorithm.
-- Exceptions - StdFail_NotDone if this algorithm fails.
returns Length from Quantity
---C++: alias "Standard_EXPORT operator Standard_Real() const;"
raises
NotDone from StdFail
is static;
Extrema(me)
---Purpose: Returns the algorithmic object from Extrema
---Level: Advanced
---C++: return const&
---C++: inline
returns ExtCS from Extrema
is static;
fields
myIsDone: Boolean from Standard;
myIndex : Integer from Standard; -- index of the nearest solution
myExtCS : ExtCS from Extrema;
end ExtremaCurveSurface;
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