0031313: Foundation Classes - Dump improvement for classes
[occt.git] / src / Geom2d / Geom2d_Curve.hxx
CommitLineData
42cf5bc1 1// Created on: 1993-03-24
2// Created by: JCV
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 _Geom2d_Curve_HeaderFile
18#define _Geom2d_Curve_HeaderFile
19
20#include <Standard.hxx>
21#include <Standard_Type.hxx>
22
23#include <Geom2d_Geometry.hxx>
24#include <Standard_Real.hxx>
25#include <Standard_Boolean.hxx>
26#include <GeomAbs_Shape.hxx>
27#include <Standard_Integer.hxx>
28class Standard_RangeError;
29class Standard_NoSuchObject;
30class Geom2d_UndefinedDerivative;
31class Geom2d_UndefinedValue;
32class gp_Trsf2d;
33class gp_Pnt2d;
34class gp_Vec2d;
35
36
37class Geom2d_Curve;
38DEFINE_STANDARD_HANDLE(Geom2d_Curve, Geom2d_Geometry)
39
40//! The abstract class Curve describes the common
41//! behavior of curves in 2D space. The Geom2d
42//! package provides numerous concrete classes of
43//! derived curves, including lines, circles, conics, Bezier
44//! or BSpline curves, etc.
45//! The main characteristic of these curves is that they
46//! are parameterized. The Geom2d_Curve class shows:
47//! - how to work with the parametric equation of a
48//! curve in order to calculate the point of parameter
49//! u, together with the vector tangent and the
50//! derivative vectors of order 2, 3,..., N at this point;
51//! - how to obtain general information about the curve
52//! (for example, level of continuity, closed
53//! characteristics, periodicity, bounds of the parameter field);
54//! - how the parameter changes when a geometric
55//! transformation is applied to the curve or when the
56//! orientation of the curve is inverted.
57//! All curves must have a geometric continuity: a curve is
58//! at least "C0". Generally, this property is checked at
59//! the time of construction or when the curve is edited.
60//! Where this is not the case, the documentation
61//! explicitly states so.
62//! Warning
63//! The Geom2d package does not prevent the
64//! construction of curves with null length or curves which
65//! self-intersect.
66class Geom2d_Curve : public Geom2d_Geometry
67{
68
69public:
70
71
72
73 //! Changes the direction of parametrization of <me>.
74 //! The "FirstParameter" and the "LastParameter" are not changed
75 //! but the orientation of the curve is modified. If the curve
76 //! is bounded the StartPoint of the initial curve becomes the
77 //! EndPoint of the reversed curve and the EndPoint of the initial
78 //! curve becomes the StartPoint of the reversed curve.
79 Standard_EXPORT virtual void Reverse() = 0;
80
81 //! Computes the parameter on the reversed curve for
82 //! the point of parameter U on this curve.
83 //! Note: The point of parameter U on this curve is
84 //! identical to the point of parameter
85 //! ReversedParameter(U) on the reversed curve.
86 Standard_EXPORT virtual Standard_Real ReversedParameter (const Standard_Real U) const = 0;
87
88 //! Computes the parameter on the curve transformed by
89 //! T for the point of parameter U on this curve.
90 //! Note: this function generally returns U but it can be
91 //! redefined (for example, on a line).
92 Standard_EXPORT virtual Standard_Real TransformedParameter (const Standard_Real U, const gp_Trsf2d& T) const;
93
94 //! Returns the coefficient required to compute the
95 //! parametric transformation of this curve when
96 //! transformation T is applied. This coefficient is the
97 //! ratio between the parameter of a point on this curve
98 //! and the parameter of the transformed point on the
99 //! new curve transformed by T.
100 //! Note: this function generally returns 1. but it can be
101 //! redefined (for example, on a line).
102 Standard_EXPORT virtual Standard_Real ParametricTransformation (const gp_Trsf2d& T) const;
103
104 //! Creates a reversed duplicate Changes the orientation of this curve. The first and
105 //! last parameters are not changed, but the parametric
106 //! direction of the curve is reversed.
107 //! If the curve is bounded:
108 //! - the start point of the initial curve becomes the end
109 //! point of the reversed curve, and
110 //! - the end point of the initial curve becomes the start
111 //! point of the reversed curve.
112 //! - Reversed creates a new curve.
6ed44b1c 113 Standard_NODISCARD Standard_EXPORT Handle(Geom2d_Curve) Reversed() const;
42cf5bc1 114
115 //! Returns the value of the first parameter.
116 //! Warnings :
117 //! It can be RealFirst or RealLast from package Standard
118 //! if the curve is infinite
119 Standard_EXPORT virtual Standard_Real FirstParameter() const = 0;
120
121 //! Value of the last parameter.
122 //! Warnings :
123 //! It can be RealFirst or RealLast from package Standard
124 //! if the curve is infinite
125 Standard_EXPORT virtual Standard_Real LastParameter() const = 0;
126
127 //! Returns true if the curve is closed.
128 //! Examples :
129 //! Some curves such as circle are always closed, others such as line
130 //! are never closed (by definition).
131 //! Some Curves such as OffsetCurve can be closed or not. These curves
132 //! are considered as closed if the distance between the first point
133 //! and the last point of the curve is lower or equal to the Resolution
134 //! from package gp wich is a fixed criterion independant of the
135 //! application.
136 Standard_EXPORT virtual Standard_Boolean IsClosed() const = 0;
137
138
139 //! Returns true if the parameter of the curve is periodic.
140 //! It is possible only if the curve is closed and if the
141 //! following relation is satisfied :
142 //! for each parametric value U the distance between the point
143 //! P(u) and the point P (u + T) is lower or equal to Resolution
144 //! from package gp, T is the period and must be a constant.
145 //! There are three possibilities :
146 //! . the curve is never periodic by definition (SegmentLine)
147 //! . the curve is always periodic by definition (Circle)
148 //! . the curve can be defined as periodic (BSpline). In this case
149 //! a function SetPeriodic allows you to give the shape of the
150 //! curve. The general rule for this case is : if a curve can be
151 //! periodic or not the default periodicity set is non periodic
152 //! and you have to turn (explicitly) the curve into a periodic
153 //! curve if you want the curve to be periodic.
154 Standard_EXPORT virtual Standard_Boolean IsPeriodic() const = 0;
155
156 //! Returns thne period of this curve.
157 //! raises if the curve is not periodic
158 Standard_EXPORT virtual Standard_Real Period() const;
159
160
161 //! It is the global continuity of the curve :
162 //! C0 : only geometric continuity,
163 //! C1 : continuity of the first derivative all along the Curve,
164 //! C2 : continuity of the second derivative all along the Curve,
165 //! C3 : continuity of the third derivative all along the Curve,
166 //! G1 : tangency continuity all along the Curve,
167 //! G2 : curvature continuity all along the Curve,
168 //! CN : the order of continuity is infinite.
169 Standard_EXPORT virtual GeomAbs_Shape Continuity() const = 0;
170
171 //! Returns true if the degree of continuity of this curve is at least N.
172 //! Exceptions Standard_RangeError if N is less than 0.
173 Standard_EXPORT virtual Standard_Boolean IsCN (const Standard_Integer N) const = 0;
174
175 //! Returns in P the point of parameter U.
176 //! If the curve is periodic then the returned point is P(U) with
177 //! U = Ustart + (U - Uend) where Ustart and Uend are the
178 //! parametric bounds of the curve.
179 //!
180 //! Raised only for the "OffsetCurve" if it is not possible to
181 //! compute the current point. For example when the first
182 //! derivative on the basis curve and the offset direction
183 //! are parallel.
184 Standard_EXPORT virtual void D0 (const Standard_Real U, gp_Pnt2d& P) const = 0;
185
186
187 //! Returns the point P of parameter U and the first derivative V1.
188 //! Raised if the continuity of the curve is not C1.
189 Standard_EXPORT virtual void D1 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1) const = 0;
190
191
192 //! Returns the point P of parameter U, the first and second
193 //! derivatives V1 and V2.
194 //! Raised if the continuity of the curve is not C2.
195 Standard_EXPORT virtual void D2 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2) const = 0;
196
197
198 //! Returns the point P of parameter U, the first, the second
199 //! and the third derivative.
200 //! Raised if the continuity of the curve is not C3.
201 Standard_EXPORT virtual void D3 (const Standard_Real U, gp_Pnt2d& P, gp_Vec2d& V1, gp_Vec2d& V2, gp_Vec2d& V3) const = 0;
202
203 //! For the point of parameter U of this curve, computes
204 //! the vector corresponding to the Nth derivative.
205 //! Exceptions
206 //! StdFail_UndefinedDerivative if:
207 //! - the continuity of the curve is not "CN", or
208 //! - the derivative vector cannot be computed easily;
209 //! this is the case with specific types of curve (for
210 //! example, a rational BSpline curve where N is greater than 3).
211 //! Standard_RangeError if N is less than 1.
212 Standard_EXPORT virtual gp_Vec2d DN (const Standard_Real U, const Standard_Integer N) const = 0;
213
214 //! Computes the point of parameter U on <me>.
215 //! If the curve is periodic then the returned point is P(U) with
216 //! U = Ustart + (U - Uend) where Ustart and Uend are the
217 //! parametric bounds of the curve.
218 //!
219 //! it is implemented with D0.
220 //!
221 //! Raised only for the "OffsetCurve" if it is not possible to
222 //! compute the current point. For example when the first
223 //! derivative on the basis curve and the offset direction
224 //! are parallel.
225 Standard_EXPORT gp_Pnt2d Value (const Standard_Real U) const;
226
bc73b006 227 //! Dumps the content of me into the stream
228 Standard_EXPORT virtual void DumpJson (Standard_OStream& theOStream, Standard_Integer theDepth = -1) const Standard_OVERRIDE;
229
42cf5bc1 230
231
232
92efcf78 233 DEFINE_STANDARD_RTTIEXT(Geom2d_Curve,Geom2d_Geometry)
42cf5bc1 234
235protected:
236
237
238
239
240private:
241
242
243
244
245};
246
247
248
249
250
251
252
253#endif // _Geom2d_Curve_HeaderFile