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-- File: AppParCurves_BSpFunction.cdl
-- Created: Tue Sep 21 18:02:28 1993
-- Author: Modelistation
-- <model@zerox>
---Copyright: Matra Datavision 1993
generic class BSpFunction from AppParCurves (
MultiLine as any;
ToolLine as any; -- as ToolLine(MultiLine)
Squares as any)
inherits MultipleVarFunctionWithGradient from math
---Purpose: This function inherits MultipleVarFunctionWithGradient to be
-- used in the mathematical algorithm BFGS.
-- It computes the value of the function
-- F=sum(||Qui - B*Pi||)2 where Pi are Poles of the BSpline
-- curves approximating the given MultiLine SSP and ui the
-- parameters associated to the points Qi of SSP.
-- It also computes the gradient for values ui of the parameter.
uses MultiBSpCurve from AppParCurves,
HArray1OfConstraintCouple from AppParCurves,
Constraint from AppParCurves,
Vector from math,
IntegerVector from math,
Matrix from math,
HArray1OfInteger from TColStd,
Array1OfReal from TColStd,
Array1OfInteger from TColStd
is
Create(SSP: MultiLine; FirstPoint, LastPoint: Integer;
TheConstraints: HArray1OfConstraintCouple;
Parameters: Vector; Knots: Array1OfReal;
Mults: Array1OfInteger; NbPol: Integer)
---Purpose: initializes the fields of the function. The approximating
-- curve has <NbPol> control points.
returns BSpFunction from AppParCurves;
NbVariables(me)
---Purpose: returns the number of variables of the function. It
-- corresponds to the number of MultiPoints.
returns Integer
is static;
Perform(me: in out; X: Vector)
---Purpose: this method is used each time Value or Gradient is
-- needed.
is static protected;
Value(me: in out; X: Vector; F: out Real)
---Purpose: this method computes the new approximation of the
-- MultiLine
-- SSP and calculates F = sum (||Pui - Bi*Pi||2) for each
-- point of the MultiLine.
returns Boolean
is static;
Gradient(me: in out; X: Vector; G: out Vector)
---Purpose: returns the gradient G of the sum above for the
-- parameters Xi.
returns Boolean
is static;
Values(me: in out; X: Vector; F: out Real; G: out Vector)
---Purpose: returns the value F=sum(||Pui - Bi*Pi||)2.
-- returns the value G = grad(F) for the parameters Xi.
returns Boolean
is static;
NewParameters(me)
---Purpose: returns the new parameters of the MultiLine.
---C++: return const&
returns Vector
is static;
CurveValue(me: in out)
---Purpose: returns the MultiBSpCurve approximating the set after
-- computing the value F or Grad(F).
returns MultiBSpCurve from AppParCurves
is static;
Error(me: in out; IPoint, CurveIndex: Integer)
---Purpose: returns the distance between the MultiPoint of range
-- IPoint and the curve CurveIndex.
returns Real
is static;
MaxError3d(me)
---Purpose: returns the maximum distance between the points
-- and the MultiBSpCurve.
returns Real
is static;
MaxError2d(me)
---Purpose: returns the maximum distance between the points
-- and the MultiBSpCurve.
returns Real
is static;
FunctionMatrix(me)
---Purpose: returns the function matrix used to approximate the
-- multiline.
---C++: return const&
returns Matrix from math
is static;
DerivativeFunctionMatrix(me)
---Purpose: returns the derivative function matrix used to approximate the
-- multiline.
---C++: return const&
returns Matrix from math
is static;
Index(me)
---Purpose: Returns the indexes of the first non null values of
-- A and DA.
-- The values are non null from Index(ieme point) +1
-- to Index(ieme point) + degree +1.
---C++: return const&
returns IntegerVector
is static;
FirstConstraint(me; TheConstraints: HArray1OfConstraintCouple;
FirstPoint: Integer)
---Purpose:
returns Constraint from AppParCurves
is static;
LastConstraint(me; TheConstraints: HArray1OfConstraintCouple;
LastPoint: Integer)
---Purpose:
returns Constraint from AppParCurves
is static;
SetFirstLambda(me: in out; l1: Real)
is static;
SetLastLambda(me: in out; l2: Real)
is static;
fields
Done: Boolean;
MyMultiLine : MultiLine;
MyMultiBSpCurve: MultiBSpCurve from AppParCurves;
nbpoles: Integer;
myParameters: Vector;
FVal: Real;
ValGrad_F: Vector from math;
MyF: Matrix from math;
PTLX : Matrix from math;
PTLY : Matrix from math;
PTLZ : Matrix from math;
A: Matrix from math;
DA: Matrix from math;
MyLeastSquare : Squares;
Contraintes: Boolean;
NbP: Integer;
NbCu: Integer;
Adeb: Integer;
Afin: Integer;
tabdim: HArray1OfInteger from TColStd;
ERR3d: Real;
ERR2d: Real;
FirstP: Integer;
LastP: Integer;
myConstraints: HArray1OfConstraintCouple from AppParCurves;
mylambda1: Real;
mylambda2: Real;
end BSpFunction;
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