-- File: Extrema_GLocateExtPC.cdl -- Created: Tue Dec 14 16:24:56 1993 -- Author: Christophe MARION -- ---Copyright: Matra Datavision 1993 generic class GLocateExtPC from Extrema( TheCurve as any; TheCurveTool as any; TheExtPElC as any; ThePoint as any; TheVector as any; ThePOnC as any; TheSequenceOfPOnC as any) ---Purpose: It calculates the distance between a point and a -- curve with a close point. -- This distance can be a minimum or a maximum. uses CurveType from GeomAbs raises DomainError from Standard, NotDone from StdFail class ELPC instantiates GExtPC from Extrema (TheCurve, TheCurveTool, TheExtPElC, ThePoint, TheVector, ThePOnC, TheSequenceOfPOnC); class LocEPC instantiates GenLocateExtPC from Extrema (TheCurve, TheCurveTool, ThePOnC, ThePoint, TheVector); is Create returns GLocateExtPC; Create (P: ThePoint; C: TheCurve; U0: Real; TolF: Real) returns GLocateExtPC ---Purpose: Calculates the distance with a close point. -- The close point is defined by the parameter value -- U0. -- The function F(u)=distance(P,C(u)) has an extremum -- when g(u)=dF/du=0. The algorithm searchs a zero -- near the close point. -- TolF is used to decide to stop the iterations. -- At the nth iteration, the criteria is: -- abs(Un - Un-1) < TolF. raises DomainError; -- if U0 is outside the definition range of the curve. Create (P: ThePoint; C: TheCurve; U0: Real; Umin, Usup: Real; TolF: Real) returns GLocateExtPC ---Purpose: Calculates the distance with a close point. -- The close point is defined by the parameter value -- U0. -- The function F(u)=distance(P,C(u)) has an extremum -- when g(u)=dF/du=0. The algorithm searchs a zero -- near the close point. -- Zeros are searched between Umin et Usup. -- TolF is used to decide to stop the iterations. -- At the nth iteration, the criteria is: -- abs(Un - Un-1) < TolF. raises DomainError; -- if U0 is outside the definition range of the curve. Initialize(me: in out; C: TheCurve; Umin, Usup: Real; TolF: Real) ---Purpose: sets the fields of the algorithm. is static; Perform(me: in out; P: ThePoint; U0: Real) ---Purpose: is static; IsDone (me) returns Boolean ---Purpose: Returns True if the distance is found. is static; SquareDistance (me) returns Real ---Purpose: Returns the value of the extremum square distance. raises NotDone from StdFail -- if IsDone(me)=False. is static; IsMin (me) returns Boolean ---Purpose: Returns True if the extremum distance is a minimum. raises NotDone from StdFail -- if IsDone(me)=False. is static; Point (me) returns ThePOnC ---Purpose: Returns the point of the extremum distance. raises NotDone from StdFail -- if IsDone(me)=False. is static; fields mypp: ThePOnC; myC: Address from Standard; mydist2: Real from Standard; myismin: Boolean from Standard; myDone : Boolean from Standard; myumin: Real from Standard; myusup: Real from Standard; mytol: Real from Standard; myLocExtPC: LocEPC from Extrema; myExtremPC: ELPC from Extrema; type: CurveType from GeomAbs; numberext: Integer from Standard; end GLocateExtPC;