mirror of
https://git.dev.opencascade.org/repos/occt.git
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42cf5bc1ca
Automatic upgrade of OCCT code by command "occt_upgrade . -nocdl": - WOK-generated header files from inc and sources from drv are moved to src - CDL files removed - All packages are converted to nocdlpack
338 lines
18 KiB
C++
338 lines
18 KiB
C++
// Created on: 1991-09-09
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// Created by: Michel Chauvat
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// Copyright (c) 1991-1999 Matra Datavision
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// Copyright (c) 1999-2014 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 _ElSLib_HeaderFile
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#define _ElSLib_HeaderFile
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#include <Standard.hxx>
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#include <Standard_DefineAlloc.hxx>
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#include <Standard_Handle.hxx>
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#include <Standard_Real.hxx>
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#include <gp_Pnt.hxx>
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#include <Standard_Integer.hxx>
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#include <gp_Vec.hxx>
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class gp_Pnt;
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class gp_Pln;
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class gp_Cone;
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class gp_Cylinder;
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class gp_Sphere;
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class gp_Torus;
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class gp_Vec;
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class gp_Ax3;
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class gp_Lin;
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class gp_Circ;
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//! Provides functions for basic geometric computation on
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//! elementary surfaces.
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//! This includes:
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//! - calculation of a point or derived vector on a surface
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//! where the surface is provided by the gp package, or
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//! defined in canonical form (as in the gp package), and
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//! the point is defined with a parameter,
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//! - evaluation of the parameters corresponding to a
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//! point on an elementary surface from gp,
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//! - calculation of isoparametric curves on an elementary
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//! surface defined in canonical form (as in the gp package).
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//! Notes:
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//! - ElSLib stands for Elementary Surfaces Library.
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//! - If the surfaces provided by the gp package are not
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//! explicitly parameterized, they still have an implicit
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//! parameterization, similar to that which they infer on
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//! the equivalent Geom surfaces.
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//! Note: ElSLib stands for Elementary Surfaces Library.
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class ElSLib
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{
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public:
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DEFINE_STANDARD_ALLOC
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//! For elementary surfaces from the gp package (planes,
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//! cones, cylinders, spheres and tori), computes the point
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//! of parameters (U, V).
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Standard_EXPORT static gp_Pnt Value (const Standard_Real U, const Standard_Real V, const gp_Pln& Pl);
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static gp_Pnt Value (const Standard_Real U, const Standard_Real V, const gp_Cone& C);
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static gp_Pnt Value (const Standard_Real U, const Standard_Real V, const gp_Cylinder& C);
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static gp_Pnt Value (const Standard_Real U, const Standard_Real V, const gp_Sphere& S);
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static gp_Pnt Value (const Standard_Real U, const Standard_Real V, const gp_Torus& T);
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//! For elementary surfaces from the gp package (planes,
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//! cones, cylinders, spheres and tori), computes the
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//! derivative vector of order Nu and Nv in the u and v
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//! parametric directions respectively, at the point of
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//! parameters (U, V).
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Standard_EXPORT static gp_Vec DN (const Standard_Real U, const Standard_Real V, const gp_Pln& Pl, const Standard_Integer Nu, const Standard_Integer Nv);
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static gp_Vec DN (const Standard_Real U, const Standard_Real V, const gp_Cone& C, const Standard_Integer Nu, const Standard_Integer Nv);
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static gp_Vec DN (const Standard_Real U, const Standard_Real V, const gp_Cylinder& C, const Standard_Integer Nu, const Standard_Integer Nv);
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static gp_Vec DN (const Standard_Real U, const Standard_Real V, const gp_Sphere& S, const Standard_Integer Nu, const Standard_Integer Nv);
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static gp_Vec DN (const Standard_Real U, const Standard_Real V, const gp_Torus& T, const Standard_Integer Nu, const Standard_Integer Nv);
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//! For elementary surfaces from the gp package (planes,
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//! cones, cylinders, spheres and tori), computes the point P
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//! of parameters (U, V).inline
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Standard_EXPORT static void D0 (const Standard_Real U, const Standard_Real V, const gp_Pln& Pl, gp_Pnt& P);
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static void D0 (const Standard_Real U, const Standard_Real V, const gp_Cone& C, gp_Pnt& P);
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static void D0 (const Standard_Real U, const Standard_Real V, const gp_Cylinder& C, gp_Pnt& P);
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static void D0 (const Standard_Real U, const Standard_Real V, const gp_Sphere& S, gp_Pnt& P);
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static void D0 (const Standard_Real U, const Standard_Real V, const gp_Torus& T, gp_Pnt& P);
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//! For elementary surfaces from the gp package (planes,
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//! cones, cylinders, spheres and tori), computes:
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//! - the point P of parameters (U, V), and
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//! - the first derivative vectors Vu and Vv at this point in
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//! the u and v parametric directions respectively.
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Standard_EXPORT static void D1 (const Standard_Real U, const Standard_Real V, const gp_Pln& Pl, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv);
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static void D1 (const Standard_Real U, const Standard_Real V, const gp_Cone& C, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv);
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static void D1 (const Standard_Real U, const Standard_Real V, const gp_Cylinder& C, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv);
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static void D1 (const Standard_Real U, const Standard_Real V, const gp_Sphere& S, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv);
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static void D1 (const Standard_Real U, const Standard_Real V, const gp_Torus& T, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv);
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//! For elementary surfaces from the gp package (cones,
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//! cylinders, spheres and tori), computes:
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//! - the point P of parameters (U, V), and
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//! - the first derivative vectors Vu and Vv at this point in
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//! the u and v parametric directions respectively, and
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//! - the second derivative vectors Vuu, Vvv and Vuv at this point.
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Standard_EXPORT static void D2 (const Standard_Real U, const Standard_Real V, const gp_Cone& C, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv);
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static void D2 (const Standard_Real U, const Standard_Real V, const gp_Cylinder& C, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv);
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static void D2 (const Standard_Real U, const Standard_Real V, const gp_Sphere& S, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv);
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static void D2 (const Standard_Real U, const Standard_Real V, const gp_Torus& T, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv);
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//! For elementary surfaces from the gp package (cones,
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//! cylinders, spheres and tori), computes:
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//! - the point P of parameters (U,V), and
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//! - the first derivative vectors Vu and Vv at this point in
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//! the u and v parametric directions respectively, and
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//! - the second derivative vectors Vuu, Vvv and Vuv at
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//! this point, and
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//! - the third derivative vectors Vuuu, Vvvv, Vuuv and
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//! Vuvv at this point.
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Standard_EXPORT static void D3 (const Standard_Real U, const Standard_Real V, const gp_Cone& C, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv, gp_Vec& Vuuu, gp_Vec& Vvvv, gp_Vec& Vuuv, gp_Vec& Vuvv);
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static void D3 (const Standard_Real U, const Standard_Real V, const gp_Cylinder& C, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv, gp_Vec& Vuuu, gp_Vec& Vvvv, gp_Vec& Vuuv, gp_Vec& Vuvv);
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static void D3 (const Standard_Real U, const Standard_Real V, const gp_Sphere& S, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv, gp_Vec& Vuuu, gp_Vec& Vvvv, gp_Vec& Vuuv, gp_Vec& Vuvv);
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//! Surface evaluation
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//! The following functions compute the point and the
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//! derivatives on elementary surfaces defined with their
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//! geometric characterisitics.
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//! You don't need to create the surface to use these functions.
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//! These functions are called by the previous ones.
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//! Example :
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//! A cylinder is defined with its position and its radius.
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static void D3 (const Standard_Real U, const Standard_Real V, const gp_Torus& T, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv, gp_Vec& Vuuu, gp_Vec& Vvvv, gp_Vec& Vuuv, gp_Vec& Vuvv);
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Standard_EXPORT static gp_Pnt PlaneValue (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos);
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Standard_EXPORT static gp_Pnt CylinderValue (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius);
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Standard_EXPORT static gp_Pnt ConeValue (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real SAngle);
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Standard_EXPORT static gp_Pnt SphereValue (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius);
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Standard_EXPORT static gp_Pnt TorusValue (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real MajorRadius, const Standard_Real MinorRadius);
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Standard_EXPORT static gp_Vec PlaneDN (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Integer Nu, const Standard_Integer Nv);
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Standard_EXPORT static gp_Vec CylinderDN (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Integer Nu, const Standard_Integer Nv);
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Standard_EXPORT static gp_Vec ConeDN (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real SAngle, const Standard_Integer Nu, const Standard_Integer Nv);
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Standard_EXPORT static gp_Vec SphereDN (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Integer Nu, const Standard_Integer Nv);
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Standard_EXPORT static gp_Vec TorusDN (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real MajorRadius, const Standard_Real MinorRadius, const Standard_Integer Nu, const Standard_Integer Nv);
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Standard_EXPORT static void PlaneD0 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, gp_Pnt& P);
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Standard_EXPORT static void ConeD0 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real SAngle, gp_Pnt& P);
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Standard_EXPORT static void CylinderD0 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, gp_Pnt& P);
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Standard_EXPORT static void SphereD0 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, gp_Pnt& P);
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Standard_EXPORT static void TorusD0 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real MajorRadius, const Standard_Real MinorRadius, gp_Pnt& P);
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Standard_EXPORT static void PlaneD1 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv);
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Standard_EXPORT static void ConeD1 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real SAngle, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv);
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Standard_EXPORT static void CylinderD1 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv);
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Standard_EXPORT static void SphereD1 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv);
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Standard_EXPORT static void TorusD1 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real MajorRadius, const Standard_Real MinorRadius, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv);
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Standard_EXPORT static void ConeD2 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real SAngle, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv);
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Standard_EXPORT static void CylinderD2 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv);
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Standard_EXPORT static void SphereD2 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv);
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Standard_EXPORT static void TorusD2 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real MajorRadius, const Standard_Real MinorRadius, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv);
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Standard_EXPORT static void ConeD3 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real SAngle, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv, gp_Vec& Vuuu, gp_Vec& Vvvv, gp_Vec& Vuuv, gp_Vec& Vuvv);
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Standard_EXPORT static void CylinderD3 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv, gp_Vec& Vuuu, gp_Vec& Vvvv, gp_Vec& Vuuv, gp_Vec& Vuvv);
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Standard_EXPORT static void SphereD3 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real Radius, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv, gp_Vec& Vuuu, gp_Vec& Vvvv, gp_Vec& Vuuv, gp_Vec& Vuvv);
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//! The following functions compute the parametric values
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//! corresponding to a given point on a elementary surface.
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//! The point should be on the surface.
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Standard_EXPORT static void TorusD3 (const Standard_Real U, const Standard_Real V, const gp_Ax3& Pos, const Standard_Real MajorRadius, const Standard_Real MinorRadius, gp_Pnt& P, gp_Vec& Vu, gp_Vec& Vv, gp_Vec& Vuu, gp_Vec& Vvv, gp_Vec& Vuv, gp_Vec& Vuuu, gp_Vec& Vvvv, gp_Vec& Vuuv, gp_Vec& Vuvv);
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//! parametrization
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//! P (U, V) =
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//! Pl.Location() + U * Pl.XDirection() + V * Pl.YDirection()
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static void Parameters (const gp_Pln& Pl, const gp_Pnt& P, Standard_Real& U, Standard_Real& V);
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//! parametrization
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//! P (U, V) = Location + V * ZDirection +
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//! Radius * (Cos(U) * XDirection + Sin (U) * YDirection)
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static void Parameters (const gp_Cylinder& C, const gp_Pnt& P, Standard_Real& U, Standard_Real& V);
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//! parametrization
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//! P (U, V) = Location + V * ZDirection +
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//! (Radius + V * Tan (SemiAngle)) *
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//! (Cos(U) * XDirection + Sin(U) * YDirection)
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static void Parameters (const gp_Cone& C, const gp_Pnt& P, Standard_Real& U, Standard_Real& V);
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//! parametrization
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//! P (U, V) = Location +
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//! Radius * Cos (V) * (Cos (U) * XDirection + Sin (U) * YDirection) +
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//! Radius * Sin (V) * ZDirection
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static void Parameters (const gp_Sphere& S, const gp_Pnt& P, Standard_Real& U, Standard_Real& V);
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//! parametrization
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//! P (U, V) = Location +
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//! (MajorRadius + MinorRadius * Cos(U)) *
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//! (Cos(V) * XDirection - Sin(V) * YDirection) +
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//! MinorRadius * Sin(U) * ZDirection
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static void Parameters (const gp_Torus& T, const gp_Pnt& P, Standard_Real& U, Standard_Real& V);
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//! parametrization
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//! P (U, V) =
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//! Pl.Location() + U * Pl.XDirection() + V * Pl.YDirection()
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Standard_EXPORT static void PlaneParameters (const gp_Ax3& Pos, const gp_Pnt& P, Standard_Real& U, Standard_Real& V);
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//! parametrization
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//! P (U, V) = Location + V * ZDirection +
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//! Radius * (Cos(U) * XDirection + Sin (U) * YDirection)
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Standard_EXPORT static void CylinderParameters (const gp_Ax3& Pos, const Standard_Real Radius, const gp_Pnt& P, Standard_Real& U, Standard_Real& V);
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//! parametrization
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//! P (U, V) = Location + V * ZDirection +
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//! (Radius + V * Tan (SemiAngle)) *
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//! (Cos(U) * XDirection + Sin(U) * YDirection)
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Standard_EXPORT static void ConeParameters (const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real SAngle, const gp_Pnt& P, Standard_Real& U, Standard_Real& V);
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//! parametrization
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//! P (U, V) = Location +
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//! Radius * Cos (V) * (Cos (U) * XDirection + Sin (U) * YDirection) +
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//! Radius * Sin (V) * ZDirection
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Standard_EXPORT static void SphereParameters (const gp_Ax3& Pos, const Standard_Real Radius, const gp_Pnt& P, Standard_Real& U, Standard_Real& V);
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//! parametrization
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//! P (U, V) = Location +
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//! (MajorRadius + MinorRadius * Cos(U)) *
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//! (Cos(V) * XDirection - Sin(V) * YDirection) +
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//! MinorRadius * Sin(U) * ZDirection
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Standard_EXPORT static void TorusParameters (const gp_Ax3& Pos, const Standard_Real MajorRadius, const Standard_Real MinorRadius, const gp_Pnt& P, Standard_Real& U, Standard_Real& V);
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//! compute the U Isoparametric gp_Lin of the plane.
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Standard_EXPORT static gp_Lin PlaneUIso (const gp_Ax3& Pos, const Standard_Real U);
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//! compute the U Isoparametric gp_Lin of the cylinder.
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Standard_EXPORT static gp_Lin CylinderUIso (const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real U);
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//! compute the U Isoparametric gp_Lin of the cone.
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Standard_EXPORT static gp_Lin ConeUIso (const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real SAngle, const Standard_Real U);
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//! compute the U Isoparametric gp_Circ of the sphere,
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//! (the meridian is not trimmed).
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Standard_EXPORT static gp_Circ SphereUIso (const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real U);
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//! compute the U Isoparametric gp_Circ of the torus.
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Standard_EXPORT static gp_Circ TorusUIso (const gp_Ax3& Pos, const Standard_Real MajorRadius, const Standard_Real MinorRadius, const Standard_Real U);
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//! compute the V Isoparametric gp_Lin of the plane.
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Standard_EXPORT static gp_Lin PlaneVIso (const gp_Ax3& Pos, const Standard_Real V);
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//! compute the V Isoparametric gp_Circ of the cylinder.
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Standard_EXPORT static gp_Circ CylinderVIso (const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real V);
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//! compute the V Isoparametric gp_Circ of the cone.
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Standard_EXPORT static gp_Circ ConeVIso (const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real SAngle, const Standard_Real V);
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//! compute the V Isoparametric gp_Circ of the sphere,
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//! (the meridian is not trimmed).
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Standard_EXPORT static gp_Circ SphereVIso (const gp_Ax3& Pos, const Standard_Real Radius, const Standard_Real V);
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//! compute the V Isoparametric gp_Circ of the torus.
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Standard_EXPORT static gp_Circ TorusVIso (const gp_Ax3& Pos, const Standard_Real MajorRadius, const Standard_Real MinorRadius, const Standard_Real V);
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protected:
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private:
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};
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#include <ElSLib.lxx>
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#endif // _ElSLib_HeaderFile
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