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1 | // Created on: 1993-07-07 |
2 | // Created by: Jean Claude VAUTHIER |
3 | // Copyright (c) 1993-1999 Matra Datavision |
4 | // Copyright (c) 1999-2014 OPEN CASCADE SAS |
5 | // |
6 | // This file is part of Open CASCADE Technology software library. |
7 | // |
8 | // This library is free software; you can redistribute it and/or modify it under |
9 | // the terms of the GNU Lesser General Public License version 2.1 as published |
10 | // by the Free Software Foundation, with special exception defined in the file |
11 | // OCCT_LGPL_EXCEPTION.txt. Consult the file LICENSE_LGPL_21.txt included in OCCT |
12 | // distribution for complete text of the license and disclaimer of any warranty. |
13 | // |
14 | // Alternatively, this file may be used under the terms of Open CASCADE |
15 | // commercial license or contractual agreement. |
16 | |
17 | #ifndef _GeomLib_HeaderFile |
18 | #define _GeomLib_HeaderFile |
19 | |
20 | #include <Standard.hxx> |
21 | #include <Standard_DefineAlloc.hxx> |
22 | #include <Standard_Handle.hxx> |
23 | |
24 | #include <Standard_Real.hxx> |
25 | #include <GeomAbs_Shape.hxx> |
26 | #include <Standard_Integer.hxx> |
27 | #include <Standard_Boolean.hxx> |
28 | #include <TColgp_Array1OfPnt.hxx> |
29 | #include <TColStd_Array1OfReal.hxx> |
30 | #include <TColStd_HArray1OfReal.hxx> |
31 | #include <TColStd_SequenceOfReal.hxx> |
32 | class Geom_Curve; |
33 | class gp_Ax2; |
34 | class Geom2d_Curve; |
35 | class gp_GTrsf2d; |
36 | class Adaptor3d_CurveOnSurface; |
37 | class Geom_BoundedCurve; |
38 | class gp_Pnt; |
39 | class gp_Vec; |
40 | class Geom_BoundedSurface; |
41 | class gp_Dir; |
42 | class Adaptor3d_Curve; |
43 | class Geom_BSplineSurface; |
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44 | class Geom_BezierSurface; |
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45 | class Geom_Surface; |
46 | class gp_Pnt2d; |
47 | class GeomLib_MakeCurvefromApprox; |
48 | class GeomLib_Interpolate; |
49 | class GeomLib_DenominatorMultiplier; |
50 | class GeomLib_CheckBSplineCurve; |
51 | class GeomLib_Check2dBSplineCurve; |
52 | class GeomLib_IsPlanarSurface; |
53 | class GeomLib_Tool; |
54 | class GeomLib_PolyFunc; |
55 | class GeomLib_LogSample; |
56 | |
57 | |
58 | //! Geom Library. This package provides an |
59 | //! implementation of functions for basic computation |
60 | //! on geometric entity from packages Geom and Geom2d. |
61 | class GeomLib |
62 | { |
63 | public: |
64 | |
65 | DEFINE_STANDARD_ALLOC |
66 | |
67 | |
68 | //! Computes the curve 3d from package Geom |
69 | //! corresponding to curve 2d from package Geom2d, on |
70 | //! the plan defined with the local coordinate system |
71 | //! Position. |
72 | Standard_EXPORT static Handle(Geom_Curve) To3d (const gp_Ax2& Position, const Handle(Geom2d_Curve)& Curve2d); |
73 | |
74 | //! Computes the curve 3d from package Geom |
75 | //! corresponding to the curve 3d from package Geom, |
76 | //! transformed with the transformation <GTrsf> |
77 | //! WARNING : this method may return a null Handle if |
78 | //! it's impossible to compute the transformation of |
79 | //! a curve. It's not implemented when : |
80 | //! 1) the curve is an infinite parabola or hyperbola |
81 | //! 2) the curve is an offsetcurve |
82 | Standard_EXPORT static Handle(Geom2d_Curve) GTransform (const Handle(Geom2d_Curve)& Curve, const gp_GTrsf2d& GTrsf); |
83 | |
84 | //! Make the curve Curve2dPtr have the imposed |
85 | //! range First to List the most economic way, |
86 | //! that is if it can change the range without |
87 | //! changing the nature of the curve it will try |
88 | //! to do that. Otherwise it will produce a Bspline |
89 | //! curve that has the required range |
90 | Standard_EXPORT static void SameRange (const Standard_Real Tolerance, const Handle(Geom2d_Curve)& Curve2dPtr, const Standard_Real First, const Standard_Real Last, const Standard_Real RequestedFirst, const Standard_Real RequestedLast, Handle(Geom2d_Curve)& NewCurve2dPtr); |
91 | |
92 | Standard_EXPORT static void BuildCurve3d (const Standard_Real Tolerance, Adaptor3d_CurveOnSurface& CurvePtr, const Standard_Real FirstParameter, const Standard_Real LastParameter, Handle(Geom_Curve)& NewCurvePtr, Standard_Real& MaxDeviation, Standard_Real& AverageDeviation, const GeomAbs_Shape Continuity = GeomAbs_C1, const Standard_Integer MaxDegree = 14, const Standard_Integer MaxSegment = 30); |
93 | |
94 | Standard_EXPORT static void AdjustExtremity (Handle(Geom_BoundedCurve)& Curve, const gp_Pnt& P1, const gp_Pnt& P2, const gp_Vec& T1, const gp_Vec& T2); |
95 | |
96 | //! Extends the bounded curve Curve to the point Point. |
97 | //! The extension is built: |
98 | //! - at the end of the curve if After equals true, or |
99 | //! - at the beginning of the curve if After equals false. |
100 | //! The extension is performed according to a degree of |
101 | //! continuity equal to Cont, which in its turn must be equal to 1, 2 or 3. |
102 | //! This function converts the bounded curve Curve into a BSpline curve. |
103 | //! Warning |
104 | //! - Nothing is done, and Curve is not modified if Cont is |
105 | //! not equal to 1, 2 or 3. |
106 | //! - It is recommended that the extension should not be |
107 | //! too large with respect to the size of the bounded |
108 | //! curve Curve: Point must not be located too far from |
109 | //! one of the extremities of Curve. |
110 | Standard_EXPORT static void ExtendCurveToPoint (Handle(Geom_BoundedCurve)& Curve, const gp_Pnt& Point, const Standard_Integer Cont, const Standard_Boolean After); |
111 | |
112 | |
113 | //! Extends the bounded surface Surf along one of its |
114 | //! boundaries. The chord length of the extension is equal to Length. |
115 | //! The direction of the extension is given as: |
116 | //! - the u parametric direction of Surf, if InU equals true, or |
117 | //! - the v parametric direction of Surf, if InU equals false. |
118 | //! In this parametric direction, the extension is built on the side of: |
119 | //! - the last parameter of Surf, if After equals true, or |
120 | //! - the first parameter of Surf, if After equals false. |
121 | //! The extension is performed according to a degree of |
122 | //! continuity equal to Cont, which in its turn must be equal to 1, 2 or 3. |
123 | //! This function converts the bounded surface Surf into a BSpline surface. |
124 | //! Warning |
125 | //! - Nothing is done, and Surf is not modified if Cont is |
126 | //! not equal to 1, 2 or 3. |
127 | //! - It is recommended that Length, the size of the |
128 | //! extension should not be too large with respect to the |
129 | //! size of the bounded surface Surf. |
130 | //! - Surf must not be a periodic BSpline surface in the |
131 | //! parametric direction corresponding to the direction of extension. |
132 | Standard_EXPORT static void ExtendSurfByLength (Handle(Geom_BoundedSurface)& Surf, const Standard_Real Length, const Standard_Integer Cont, const Standard_Boolean InU, const Standard_Boolean After); |
133 | |
134 | //! Compute axes of inertia, of some points -- -- -- |
135 | //! <Axe>.Location() is the BaryCentre -- -- -- -- -- |
136 | //! <Axe>.XDirection is the axe of upper inertia -- -- -- |
137 | //! -- <Axe>.Direction is the Normal to the average plane |
138 | //! -- -- -- IsSingular is True if points are on line -- |
139 | //! Tol is used to determine singular cases. |
140 | Standard_EXPORT static void AxeOfInertia (const TColgp_Array1OfPnt& Points, gp_Ax2& Axe, Standard_Boolean& IsSingular, const Standard_Real Tol = 1.0e-7); |
141 | |
142 | //! Compute principale axes of inertia, and dispertion |
143 | //! value of some points. |
144 | Standard_EXPORT static void Inertia (const TColgp_Array1OfPnt& Points, gp_Pnt& Bary, gp_Dir& XDir, gp_Dir& YDir, Standard_Real& Xgap, Standard_Real& YGap, Standard_Real& ZGap); |
145 | |
146 | //! Warning! This assume that the InParameter is an increasing sequence |
147 | //! of real number and it will not check for that : Unpredictable |
148 | //! result can happen if this is not satisfied. It is the caller |
149 | //! responsability to check for that property. |
150 | //! |
151 | //! This method makes uniform NumPoints segments S1,...SNumPoints out |
152 | //! of the segment defined by the first parameter and the |
153 | //! last parameter ofthe InParameter ; keeps only one |
154 | //! point of the InParameters set of parameter in each of |
155 | //! the uniform segments taking care of the first and the |
156 | //! last parameters. For the ith segment the element of |
157 | //! the InParameter is the one that is the first to exceed |
158 | //! the midpoint of the segment and to fall before the |
159 | //! midpoint of the next segment |
160 | //! There will be at the end at most NumPoints + 1 if |
161 | //! NumPoints > 2 in the OutParameters Array |
162 | Standard_EXPORT static void RemovePointsFromArray (const Standard_Integer NumPoints, const TColStd_Array1OfReal& InParameters, Handle(TColStd_HArray1OfReal)& OutParameters); |
163 | |
164 | //! this makes sure that there is at least MinNumPoints |
165 | //! in OutParameters taking into account the parameters in |
166 | //! the InParameters array provided those are in order, |
167 | //! that is the sequence of real in the InParameter is strictly |
168 | //! non decreasing |
169 | Standard_EXPORT static void DensifyArray1OfReal (const Standard_Integer MinNumPoints, const TColStd_Array1OfReal& InParameters, Handle(TColStd_HArray1OfReal)& OutParameters); |
170 | |
171 | Standard_EXPORT static void FuseIntervals (const TColStd_Array1OfReal& Interval1, const TColStd_Array1OfReal& Interval2, TColStd_SequenceOfReal& Fusion, const Standard_Real Confusion = 1.0e-9); |
172 | |
173 | //! this will compute the maximum distance at the |
174 | //! parameters given in the Parameters array by |
175 | //! evaluating each parameter the two curves and taking |
176 | //! the maximum of the evaluated distance |
177 | Standard_EXPORT static void EvalMaxParametricDistance (const Adaptor3d_Curve& Curve, const Adaptor3d_Curve& AReferenceCurve, const Standard_Real Tolerance, const TColStd_Array1OfReal& Parameters, Standard_Real& MaxDistance); |
178 | |
179 | //! this will compute the maximum distancef at the parameters |
180 | //! given in the Parameters array by projecting from the Curve |
181 | //! to the reference curve and taking the minimum distance |
182 | //! Than the maximum will be taken on those minimas. |
183 | Standard_EXPORT static void EvalMaxDistanceAlongParameter (const Adaptor3d_Curve& Curve, const Adaptor3d_Curve& AReferenceCurve, const Standard_Real Tolerance, const TColStd_Array1OfReal& Parameters, Standard_Real& MaxDistance); |
184 | |
185 | //! Cancel,on the boudaries,the denominator first derivative |
186 | //! in the directions wished by the user and set its value to 1. |
187 | Standard_EXPORT static void CancelDenominatorDerivative (Handle(Geom_BSplineSurface)& BSurf, const Standard_Boolean UDirection, const Standard_Boolean VDirection); |
188 | |
189 | Standard_EXPORT static Standard_Integer NormEstim (const Handle(Geom_Surface)& S, const gp_Pnt2d& UV, const Standard_Real Tol, gp_Dir& N); |
190 | |
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191 | //! This method defines if opposite boundaries of surface |
192 | //! coincide with given tolerance |
193 | Standard_EXPORT static void IsClosed(const Handle(Geom_Surface)& S, const Standard_Real Tol, |
194 | Standard_Boolean& isUClosed, Standard_Boolean& isVClosed); |
195 | |
196 | //! Returns true if the poles of U1 isoline and the poles of |
197 | //! U2 isoline of surface are identical according to tolerance criterion. |
198 | //! For rational surfaces Weights(i)*Poles(i) are checked. |
199 | Standard_EXPORT static Standard_Boolean IsBSplUClosed(const Handle(Geom_BSplineSurface)& S, |
200 | const Standard_Real U1, |
201 | const Standard_Real U2, |
202 | const Standard_Real Tol); |
203 | |
204 | //! Returns true if the poles of V1 isoline and the poles of |
205 | //! V2 isoline of surface are identical according to tolerance criterion. |
206 | //! For rational surfaces Weights(i)*Poles(i) are checked. |
207 | Standard_EXPORT static Standard_Boolean IsBSplVClosed(const Handle(Geom_BSplineSurface)& S, |
208 | const Standard_Real V1, |
209 | const Standard_Real V2, |
210 | const Standard_Real Tol); |
211 | |
212 | //! Returns true if the poles of U1 isoline and the poles of |
213 | //! U2 isoline of surface are identical according to tolerance criterion. |
214 | Standard_EXPORT static Standard_Boolean IsBzUClosed(const Handle(Geom_BezierSurface)& S, |
215 | const Standard_Real U1, |
216 | const Standard_Real U2, |
217 | const Standard_Real Tol); |
218 | |
219 | //! Returns true if the poles of V1 isoline and the poles of |
220 | //! V2 isoline of surface are identical according to tolerance criterion. |
221 | Standard_EXPORT static Standard_Boolean IsBzVClosed(const Handle(Geom_BezierSurface)& S, |
222 | const Standard_Real V1, |
223 | const Standard_Real V2, |
224 | const Standard_Real Tol); |
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225 | |
226 | protected: |
227 | |
228 | |
229 | |
230 | |
231 | |
232 | private: |
233 | |
234 | |
235 | |
236 | |
237 | friend class GeomLib_MakeCurvefromApprox; |
238 | friend class GeomLib_Interpolate; |
239 | friend class GeomLib_DenominatorMultiplier; |
240 | friend class GeomLib_CheckBSplineCurve; |
241 | friend class GeomLib_Check2dBSplineCurve; |
242 | friend class GeomLib_IsPlanarSurface; |
243 | friend class GeomLib_Tool; |
244 | friend class GeomLib_PolyFunc; |
245 | friend class GeomLib_LogSample; |
246 | |
247 | }; |
248 | |
249 | |
250 | |
251 | |
252 | |
253 | |
254 | |
255 | #endif // _GeomLib_HeaderFile |