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126 lines
4.1 KiB
Plaintext
Executable File
126 lines
4.1 KiB
Plaintext
Executable File
-- Created on: 1991-07-24
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-- Created by: Michel CHAUVAT
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-- Copyright (c) 1991-1999 Matra Datavision
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-- Copyright (c) 1999-2012 OPEN CASCADE SAS
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--
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-- The content of this file is subject to the Open CASCADE Technology Public
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-- License Version 6.5 (the "License"). You may not use the content of this file
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-- except in compliance with the License. Please obtain a copy of the License
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-- at http://www.opencascade.org and read it completely before using this file.
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--
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-- The Initial Developer of the Original Code is Open CASCADE S.A.S., having its
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-- main offices at: 1, place des Freres Montgolfier, 78280 Guyancourt, France.
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--
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-- The Original Code and all software distributed under the License is
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-- distributed on an "AS IS" basis, without warranty of any kind, and the
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-- Initial Developer hereby disclaims all such warranties, including without
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-- limitation, any warranties of merchantability, fitness for a particular
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-- purpose or non-infringement. Please see the License for the specific terms
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-- and conditions governing the rights and limitations under the License.
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-- Modified by skv - Thu Sep 30 15:19:59 2004 OCC593
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private class FuncExtPS from Extrema
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inherits FunctionSetWithDerivatives from math
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---Purpose:
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--
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-- Functional for search of extremum of the distance between point P and
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-- surface S, starting from approximate solution (u0, v0).
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--
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-- The class inherits math_FunctionSetWithDerivatives and thus is intended
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-- for use in math_FunctionSetRoot algorithm .
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--
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-- Denoting derivatives of the surface S(u,v) by u and v, respectively, as
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-- Su and Sv, the two functions to be nullified are:
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--
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-- F1(u,v) = (S - P) * Su
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-- F2(u,v) = (S - P) * Sv
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--
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-- The derivatives of the functional are:
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--
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-- Duf1(u,v) = Su^2 + (S-P) * Suu;
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-- Dvf1(u,v) = Su * Sv + (S-P) * Suv
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-- Duf2(u,v) = Sv * Su + (S-P) * Suv = Dvf1
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-- Dvf2(u,v) = Sv^2 + (S-P) * Svv
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--
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-- Here * denotes scalar product, and ^2 is square power.
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uses POnSurf from Extrema,
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SequenceOfPOnSurf from Extrema,
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SequenceOfReal from TColStd,
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Pnt from gp,
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Vector from math,
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Matrix from math,
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Surface from Adaptor3d,
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SurfacePtr from Adaptor3d
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raises OutOfRange from Standard
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is
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Create returns FuncExtPS;
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Create (P: Pnt; S: Surface from Adaptor3d) returns FuncExtPS;
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---Purpose:
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Initialize(me: in out; S: Surface from Adaptor3d)
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---Purpose: sets the field mysurf of the function.
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is static;
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SetPoint(me: in out; P: Pnt)
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---Purpose: sets the field mysurf of the function.
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is static;
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------------------------------------------------------------
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-- In all next methods, an exception is raised if the fields
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-- were not initialized.
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NbVariables (me) returns Integer;
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NbEquations (me) returns Integer;
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Value (me: in out; UV: Vector; F: out Vector) returns Boolean;
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---Purpose: Calculate Fi(U,V).
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Derivatives (me: in out; UV: Vector; DF: out Matrix)
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returns Boolean;
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---Purpose: Calculate Fi'(U,V).
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Values (me: in out; UV: Vector; F: out Vector; DF: out Matrix)
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returns Boolean;
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---Purpose: Calculate Fi(U,V) and Fi'(U,V).
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GetStateNumber (me: in out) returns Integer
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---Purpose: Save the found extremum.
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is redefined;
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NbExt (me) returns Integer;
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---Purpose: Return the number of found extrema.
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SquareDistance (me; N: Integer) returns Real
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---Purpose: Return the value of the Nth distance.
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raises OutOfRange;
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-- if N < 1 or N > NbExt(me).
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Point (me; N: Integer) returns POnSurf
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---Purpose: Returns the Nth extremum.
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raises OutOfRange;
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-- if N < 1 or N > NbExt(me).
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fields
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myP : Pnt from gp;
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myS : SurfacePtr from Adaptor3d;
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myU : Real; -- current value of U
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myV : Real; -- current value of V
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myPs : Pnt from gp; -- current point
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mySqDist: SequenceOfReal from TColStd;
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myPoint: SequenceOfPOnSurf from Extrema;
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myPinit: Boolean;
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mySinit: Boolean;
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end FuncExtPS;
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