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101 lines
3.5 KiB
C++
101 lines
3.5 KiB
C++
// Copyright (c) 1991-1999 Matra Datavision
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// Copyright (c) 1999-2022 OPEN CASCADE SAS
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//
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// This file is part of Open CASCADE Technology software library.
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//
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// This library is free software; you can redistribute it and/or modify it under
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// the terms of the GNU Lesser General Public License version 2.1 as published
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// by the Free Software Foundation, with special exception defined in the file
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// OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT
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// distribution for complete text of the license and disclaimer of any warranty.
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//
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// Alternatively, this file may be used under the terms of Open CASCADE
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// commercial license or contractual agreement.
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#ifndef _GeomConvert_FuncCylinderLSDist_HeaderFile
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#define _GeomConvert_FuncCylinderLSDist_HeaderFile
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#include <Standard.hxx>
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#include <Standard_DefineAlloc.hxx>
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#include <math_MultipleVarFunctionWithGradient.hxx>
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#include <TColgp_HArray1OfXYZ.hxx>
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#include <math_Vector.hxx>
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#include <gp_Dir.hxx>
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//! Function for search of cylinder canonic parameters: coordinates of center local coordinate system,
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//! direction of axis and radius from set of points
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//! by least square method.
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//!
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//! The class inherits math_MultipleVarFunctionWithGradient and thus is intended
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//! for use in math_BFGS algorithm.
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//!
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//! Parametrisation:
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//! Cylinder is defined by its axis and radius. Axis is defined by 3 cartesian coordinates at location x0, y0, z0
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//! and direction, which is constant and set by user:
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//! dir.x, dir.y, dir.z
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//! The criteria is:
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//! F(x0, y0, z0, theta, phi, R) = Sum[|(P(i) - Loc)^dir|^2 - R^2]^2 => min
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//! P(i) is i-th sample point, Loc, dir - axis location and direction, R - radius
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//!
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//! The square vector product |(P(i) - Loc)^dir|^2 is:
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//!
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//! [(y - y0)*dir.z - (z - z0)*dir.y]^2 +
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//! [(z - z0)*dir.x - (x - x0)*dir.z]^2 +
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//! [(x - x0)*dir.y - (y - y0)*dir.x]^2
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//!
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//! First derivative of square vector product are:
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//! Dx0 = 2*[(z - z0)*dir.x - (x - x0)*dir.z]*dir.z
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//! -2*[(x - x0)*dir.y - (y - y0)*dir.x]*dir.y
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//! Dy0 = -2*[(y - y0)*dir.z - (z - z0)*dir.y]*dir.z
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//! +2*[(x - x0)*dir.y - (y - y0)*dir.x]*dir.x
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//! Dz0 = 2*[(y - y0)*dir.z - (z - z0)*dir.y]*dir.y
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//! -2*[(z - z0)*dir.x - (x - x0)*dir.z]*dir.x
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//!
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//! dF/dx0 : G1(...) = 2*Sum{[...]*Dx0}
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//! dF/dy0 : G2(...) = 2*Sum{[...]*Dy0}
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//! dF/dz0 : G3(...) = 2*Sum{[...]*Dz0}
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//! dF/dR : G4(...) = -4*R*Sum[...]
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//! [...] = [|(P(i) - Loc)^dir|^2 - R^2]
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class GeomConvert_FuncCylinderLSDist : public math_MultipleVarFunctionWithGradient
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! Constructor.
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Standard_EXPORT GeomConvert_FuncCylinderLSDist() {};
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Standard_EXPORT GeomConvert_FuncCylinderLSDist(const Handle(TColgp_HArray1OfXYZ)& thePoints,
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const gp_Dir& theDir);
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void SetPoints(const Handle(TColgp_HArray1OfXYZ)& thePoints)
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{
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myPoints = thePoints;
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}
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void SetDir(const gp_Dir& theDir)
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{
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myDir = theDir;
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}
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//! Number of variables.
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Standard_EXPORT Standard_Integer NbVariables() const Standard_OVERRIDE;
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//! Value.
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Standard_EXPORT Standard_Boolean Value(const math_Vector& X,Standard_Real& F) Standard_OVERRIDE;
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//! Gradient.
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Standard_EXPORT Standard_Boolean Gradient(const math_Vector& X,math_Vector& G) Standard_OVERRIDE;
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//! Value and gradient.
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Standard_EXPORT Standard_Boolean Values(const math_Vector& X,Standard_Real& F,math_Vector& G) Standard_OVERRIDE;
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private:
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Handle(TColgp_HArray1OfXYZ) myPoints;
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gp_Dir myDir;
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};
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#endif // _GeomConvert_FuncCylinderLSDist_HeaderFile
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