1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
|
// This file is generated by WOK (CPPExt).
// Please do not edit this file; modify original file instead.
// The copyright and license terms as defined for the original file apply to
// this header file considered to be the "object code" form of the original source.
#ifndef _GeomAPI_ExtremaCurveCurve_HeaderFile
#define _GeomAPI_ExtremaCurveCurve_HeaderFile
#ifndef _Standard_HeaderFile
#include <Standard.hxx>
#endif
#ifndef _Standard_Macro_HeaderFile
#include <Standard_Macro.hxx>
#endif
#ifndef _Standard_Boolean_HeaderFile
#include <Standard_Boolean.hxx>
#endif
#ifndef _Standard_Integer_HeaderFile
#include <Standard_Integer.hxx>
#endif
#ifndef _Extrema_ExtCC_HeaderFile
#include <Extrema_ExtCC.hxx>
#endif
#ifndef _GeomAdaptor_Curve_HeaderFile
#include <GeomAdaptor_Curve.hxx>
#endif
#ifndef _Standard_Real_HeaderFile
#include <Standard_Real.hxx>
#endif
#ifndef _gp_Pnt_HeaderFile
#include <gp_Pnt.hxx>
#endif
#ifndef _Handle_Geom_Curve_HeaderFile
#include <Handle_Geom_Curve.hxx>
#endif
#ifndef _Quantity_Parameter_HeaderFile
#include <Quantity_Parameter.hxx>
#endif
#ifndef _Quantity_Length_HeaderFile
#include <Quantity_Length.hxx>
#endif
class Standard_OutOfRange;
class StdFail_NotDone;
class Geom_Curve;
class gp_Pnt;
class Extrema_ExtCC;
//! Describes functions for computing all the extrema <br>
//! between two 3D curves. <br>
//! An ExtremaCurveCurve algorithm minimizes or <br>
//! maximizes the distance between a point on the first <br>
//! curve and a point on the second curve. Thus, it <br>
//! computes start and end points of perpendiculars <br>
//! common to the two curves (an intersection point is <br>
//! not an extremum unless the two curves are tangential at this point). <br>
//! Solutions consist of pairs of points, and an extremum <br>
//! is considered to be a segment joining the two points of a solution. <br>
//! An ExtremaCurveCurve object provides a framework for: <br>
//! - defining the construction of the extrema, <br>
//! - implementing the construction algorithm, and <br>
//! - consulting the results. <br>
//! Warning <br>
//! In some cases, the nearest points between two <br>
//! curves do not correspond to one of the computed <br>
//! extrema. Instead, they may be given by: <br>
//! - a limit point of one curve and one of the following: <br>
//! - its orthogonal projection on the other curve, <br>
//! - a limit point of the other curve; or <br>
//! - an intersection point between the two curves. <br>
class GeomAPI_ExtremaCurveCurve {
public:
void* operator new(size_t,void* anAddress)
{
return anAddress;
}
void* operator new(size_t size)
{
return Standard::Allocate(size);
}
void operator delete(void *anAddress)
{
if (anAddress) Standard::Free((Standard_Address&)anAddress);
}
//! Constructs an empty algorithm for computing <br>
//! extrema between two curves. Use an Init function <br>
//! to define the curves on which it is going to work. <br>
Standard_EXPORT GeomAPI_ExtremaCurveCurve();
//! Computes the extrema between the curves C1 and C2. <br>
Standard_EXPORT GeomAPI_ExtremaCurveCurve(const Handle(Geom_Curve)& C1,const Handle(Geom_Curve)& C2);
//! Computes the portion of the curve C1 limited by the two <br>
//! points of parameter (U1min,U1max), and <br>
//! - the portion of the curve C2 limited by the two <br>
//! points of parameter (U2min,U2max). <br>
//! Warning <br>
//! Use the function NbExtrema to obtain the number <br>
//! of solutions. If this algorithm fails, NbExtrema returns 0. <br>
Standard_EXPORT GeomAPI_ExtremaCurveCurve(const Handle(Geom_Curve)& C1,const Handle(Geom_Curve)& C2,const Quantity_Parameter U1min,const Quantity_Parameter U1max,const Quantity_Parameter U2min,const Quantity_Parameter U2max);
//! Initializes this algorithm with the given arguments <br>
//! and computes the extrema between the curves C1 and C2 <br>
Standard_EXPORT void Init(const Handle(Geom_Curve)& C1,const Handle(Geom_Curve)& C2) ;
//! Initializes this algorithm with the given arguments <br>
//! and computes the extrema between : <br>
//! - the portion of the curve C1 limited by the two <br>
//! points of parameter (U1min,U1max), and <br>
//! - the portion of the curve C2 limited by the two <br>
//! points of parameter (U2min,U2max). <br>
//! Warning <br>
//! Use the function NbExtrema to obtain the number <br>
//! of solutions. If this algorithm fails, NbExtrema returns 0. <br>
Standard_EXPORT void Init(const Handle(Geom_Curve)& C1,const Handle(Geom_Curve)& C2,const Quantity_Parameter U1min,const Quantity_Parameter U1max,const Quantity_Parameter U2min,const Quantity_Parameter U2max) ;
//! Returns the number of extrema computed by this algorithm. <br>
//! Note: if this algorithm fails, NbExtrema returns 0. <br>
Standard_EXPORT Standard_Integer NbExtrema() const;
Standard_EXPORT operator Standard_Integer() const;
//! Returns the points P1 on the first curve and P2 on <br>
//! the second curve, which are the ends of the <br>
//! extremum of index Index computed by this algorithm. <br>
//! Exceptions <br>
//! Standard_OutOfRange if Index is not in the range [ <br>
//! 1,NbExtrema ], where NbExtrema is the <br>
//! number of extrema computed by this algorithm. <br>
Standard_EXPORT void Points(const Standard_Integer Index,gp_Pnt& P1,gp_Pnt& P2) const;
//! Returns the parameters U1 of the point on the first <br>
//! curve and U2 of the point on the second curve, which <br>
//! are the ends of the extremum of index Index computed by this algorithm. <br>
//! Exceptions <br>
//! Standard_OutOfRange if Index is not in the range [ <br>
//! 1,NbExtrema ], where NbExtrema is the <br>
//! number of extrema computed by this algorithm. <br>
Standard_EXPORT void Parameters(const Standard_Integer Index,Quantity_Parameter& U1,Quantity_Parameter& U2) const;
//! Computes the distance between the end points of the <br>
//! extremum of index Index computed by this algorithm. <br>
//! Exceptions <br>
//! Standard_OutOfRange if Index is not in the range [ <br>
//! 1,NbExtrema ], where NbExtrema is the <br>
//! number of extrema computed by this algorithm. <br>
Standard_EXPORT Quantity_Length Distance(const Standard_Integer Index) const;
//! Returns the points P1 on the first curve and P2 on <br>
//! the second curve, which are the ends of the shortest <br>
//! extremum computed by this algorithm. <br>
//! Exceptions StdFail_NotDone if this algorithm fails. <br>
Standard_EXPORT void NearestPoints(gp_Pnt& P1,gp_Pnt& P2) const;
//! Returns the parameters U1 of the point on the first <br>
//! curve and U2 of the point on the second curve, which <br>
//! are the ends of the shortest extremum computed by this algorithm. <br>
//! Exceptions StdFail_NotDone if this algorithm fails. <br>
Standard_EXPORT void LowerDistanceParameters(Quantity_Parameter& U1,Quantity_Parameter& U2) const;
//! Computes the distance between the end points of the <br>
//! shortest extremum computed by this algorithm. <br>
//! Exceptions StdFail_NotDone if this algorithm fails. <br>
Standard_EXPORT Quantity_Length LowerDistance() const;
Standard_EXPORT operator Standard_Real() const;
//! return the algorithmic object from Extrema <br>
const Extrema_ExtCC& Extrema() const;
//! set in <P1> and <P2> the couple solution points <br>
//! such a the distance [P1,P2] is the minimum. taking in account <br>
//! extremity points of curves. <br>
Standard_EXPORT Standard_Boolean TotalNearestPoints(gp_Pnt& P1,gp_Pnt& P2) ;
//! set in <U1> and <U2> the parameters of the couple <br>
//! solution points which represents the total nearest <br>
//! solution. <br>
Standard_EXPORT Standard_Boolean TotalLowerDistanceParameters(Quantity_Parameter& U1,Quantity_Parameter& U2) ;
//! return the distance of the total nearest couple solution <br>
//! point. <br>//! if <myExtCC> is not done <br>
Standard_EXPORT Quantity_Length TotalLowerDistance() ;
protected:
private:
Standard_EXPORT void TotalPerform() ;
Standard_Boolean myIsDone;
Standard_Integer myIndex;
Extrema_ExtCC myExtCC;
GeomAdaptor_Curve myC1;
GeomAdaptor_Curve myC2;
Standard_Boolean myTotalExt;
Standard_Boolean myIsInfinite;
Standard_Real myTotalDist;
gp_Pnt myTotalPoints[2];
Standard_Real myTotalPars[2];
};
#include <GeomAPI_ExtremaCurveCurve.lxx>
// other Inline functions and methods (like "C++: function call" methods)
#endif
|
