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
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
|
//File gp_Hypr2d.lxx
// LPA et JCV 07/92 mise a jour des methodes inline pour passage sur C1
#include <gp.hxx>
#include <Standard_DomainError.hxx>
#include <Standard_ConstructionError.hxx>
inline gp_Hypr2d::gp_Hypr2d () :
majorRadius(RealLast()),
minorRadius(RealLast())
{ }
inline gp_Hypr2d::gp_Hypr2d (const gp_Ax22d& A,
const Standard_Real MajorRadius,
const Standard_Real MinorRadius) :
pos(A),
majorRadius(MajorRadius),
minorRadius(MinorRadius)
{
Standard_ConstructionError_Raise_if
(MinorRadius < 0.0 || MajorRadius < 0.0,"");
}
inline gp_Hypr2d::gp_Hypr2d (const gp_Ax2d& MajorAxis,
const Standard_Real MajorRadius,
const Standard_Real MinorRadius,
const Standard_Boolean Sense) :
majorRadius(MajorRadius),
minorRadius(MinorRadius)
{
pos = gp_Ax22d(MajorAxis,Sense);
Standard_ConstructionError_Raise_if
(MinorRadius < 0.0 || MajorRadius < 0.0,"");
}
inline void gp_Hypr2d::SetLocation (const gp_Pnt2d& P)
{ pos.SetLocation (P); }
inline void gp_Hypr2d::SetMajorRadius (const Standard_Real MajorRadius)
{
Standard_ConstructionError_Raise_if(MajorRadius < 0.0,"");
majorRadius = MajorRadius;
}
inline void gp_Hypr2d::SetMinorRadius (const Standard_Real MinorRadius)
{
Standard_ConstructionError_Raise_if(MinorRadius < 0.0,"");
minorRadius = MinorRadius;
}
inline void gp_Hypr2d::SetAxis (const gp_Ax22d& A)
{ pos.SetAxis(A); }
inline void gp_Hypr2d::SetXAxis (const gp_Ax2d& A)
{ pos.SetXAxis(A); }
inline void gp_Hypr2d::SetYAxis (const gp_Ax2d& A)
{ pos.SetYAxis(A); }
inline gp_Ax2d gp_Hypr2d::Asymptote1() const
{
Standard_ConstructionError_Raise_if (majorRadius <= gp::Resolution(), "");
gp_Dir2d Vdir = pos.XDirection();
gp_XY Coord1 (pos.YDirection().XY());
gp_XY Coord2 = Coord1.Multiplied (minorRadius / majorRadius);
Coord1.Add (Coord2);
Vdir.SetXY (Coord1);
return gp_Ax2d (pos.Location(), Vdir);
}
inline gp_Ax2d gp_Hypr2d::Asymptote2() const {
Standard_ConstructionError_Raise_if (majorRadius <= gp::Resolution(), "");
gp_Vec2d Vdir = pos.XDirection();
gp_XY Coord1 (pos.YDirection().XY());
gp_XY Coord2 = Coord1.Multiplied (-minorRadius / majorRadius);
Coord1.Add (Coord2);
Vdir.SetXY (Coord1);
return gp_Ax2d (pos.Location(), Vdir);
}
inline gp_Hypr2d gp_Hypr2d::ConjugateBranch1() const
{
gp_Dir2d V (pos.YDirection());
Standard_Boolean sign = (pos.XDirection().Crossed(pos.YDirection())) >= 0.0;
return gp_Hypr2d (gp_Ax2d (pos.Location(),V), minorRadius, majorRadius,sign);
}
inline gp_Hypr2d gp_Hypr2d::ConjugateBranch2() const
{
gp_Dir2d V (pos.YDirection().Reversed());
Standard_Boolean sign = (pos.XDirection().Crossed(pos.YDirection())) >= 0.0;
return gp_Hypr2d (gp_Ax2d(pos.Location(),V),minorRadius, majorRadius,sign);
}
inline gp_Ax2d gp_Hypr2d::Directrix1() const
{
Standard_Real E = Eccentricity();
gp_XY Orig = pos.XDirection().XY();
Orig.Multiply (majorRadius/E);
Orig.Add (pos.Location().XY());
return gp_Ax2d (gp_Pnt2d(Orig),gp_Dir2d (pos.YDirection()));
}
inline gp_Ax2d gp_Hypr2d::Directrix2() const
{
Standard_Real E = Eccentricity();
gp_XY Orig = pos.XDirection().XY();
Orig.Multiply (Parameter()/E);
Orig.Add (Focus1().XY());
return gp_Ax2d (gp_Pnt2d(Orig),gp_Dir2d (pos.YDirection()));
}
inline Standard_Real gp_Hypr2d::Eccentricity() const
{
Standard_DomainError_Raise_if (majorRadius <= gp::Resolution(), "");
return sqrt(majorRadius * majorRadius +
minorRadius * minorRadius) / majorRadius;
}
inline Standard_Real gp_Hypr2d::Focal() const
{
return 2.0 * sqrt (majorRadius * majorRadius +
minorRadius * minorRadius);
}
inline gp_Pnt2d gp_Hypr2d::Focus1() const
{
Standard_Real C = sqrt (majorRadius * majorRadius +
minorRadius * minorRadius);
return gp_Pnt2d (pos.Location().X() + C * pos.XDirection().X(),
pos.Location().Y() + C * pos.XDirection().Y());
}
inline gp_Pnt2d gp_Hypr2d::Focus2() const
{
Standard_Real C = sqrt (majorRadius * majorRadius +
minorRadius * minorRadius);
return gp_Pnt2d (pos.Location().X() - C * pos.XDirection().X(),
pos.Location().Y() - C * pos.XDirection().Y());
}
inline const gp_Pnt2d& gp_Hypr2d::Location () const
{ return pos.Location(); }
inline Standard_Real gp_Hypr2d::MajorRadius() const
{ return majorRadius; }
inline Standard_Real gp_Hypr2d::MinorRadius() const
{ return minorRadius; }
inline gp_Hypr2d gp_Hypr2d::OtherBranch() const
{
Standard_Boolean sign = (pos.XDirection().Crossed(pos.YDirection())) >= 0.0;
return gp_Hypr2d (gp_Ax2d (pos.Location(),pos.XDirection().Reversed()),
majorRadius,minorRadius,sign);
}
inline Standard_Real gp_Hypr2d::Parameter() const
{
Standard_DomainError_Raise_if (majorRadius <= gp::Resolution(), "");
return (minorRadius * minorRadius) / majorRadius;
}
inline const gp_Ax22d& gp_Hypr2d::Axis () const
{ return pos; }
inline gp_Ax2d gp_Hypr2d::XAxis () const
{ return pos.XAxis(); }
inline gp_Ax2d gp_Hypr2d::YAxis () const
{ return pos.YAxis(); }
inline void gp_Hypr2d::Reverse()
{
gp_Dir2d Temp = pos.YDirection ();
Temp.Reverse ();
pos.SetAxis(gp_Ax22d(pos.Location(),pos.XDirection(),Temp));
}
inline gp_Hypr2d gp_Hypr2d::Reversed() const
{
gp_Hypr2d H = *this;
gp_Dir2d Temp = pos.YDirection ();
Temp.Reverse ();
H.pos.SetAxis(gp_Ax22d(pos.Location(),pos.XDirection(),Temp));
return H;
}
inline Standard_Boolean gp_Hypr2d::IsDirect() const
{ return (pos.XDirection().Crossed(pos.YDirection())) >= 0.0; }
inline void gp_Hypr2d::Rotate (const gp_Pnt2d& P,
const Standard_Real Ang)
{pos.Rotate (P,Ang);}
inline gp_Hypr2d gp_Hypr2d::Rotated (const gp_Pnt2d& P,
const Standard_Real Ang) const
{
gp_Hypr2d H = *this;
H.pos.Rotate (P, Ang);
return H;
}
inline void gp_Hypr2d::Scale (const gp_Pnt2d& P,
const Standard_Real S)
{
majorRadius *= S;
if (majorRadius < 0) majorRadius = - majorRadius;
minorRadius *= S;
if (minorRadius < 0) minorRadius = - minorRadius;
pos.Scale(P, S);
}
inline gp_Hypr2d gp_Hypr2d::Scaled (const gp_Pnt2d& P,
const Standard_Real S) const
{
gp_Hypr2d H = *this;
H.majorRadius *= S;
if (H.majorRadius < 0) H.majorRadius = - H.majorRadius;
H.minorRadius *= S;
if (H.minorRadius < 0) H.minorRadius = - H.minorRadius;
H.pos.Scale(P, S);
return H;
}
inline void gp_Hypr2d::Transform (const gp_Trsf2d& T)
{
majorRadius *= T.ScaleFactor();
if (majorRadius < 0) majorRadius = - majorRadius;
minorRadius *= T.ScaleFactor();
if (minorRadius < 0) minorRadius = - minorRadius;
pos.Transform(T);
}
inline gp_Hypr2d gp_Hypr2d::Transformed (const gp_Trsf2d& T) const
{
gp_Hypr2d H = *this;
H.majorRadius *= T.ScaleFactor();
if (H.majorRadius < 0) H.majorRadius = - H.majorRadius;
H.minorRadius *= T.ScaleFactor();
if (H.minorRadius < 0) H.minorRadius = - H.minorRadius;
H.pos.Transform(T);
return H;
}
inline void gp_Hypr2d::Translate (const gp_Vec2d& V)
{ pos.Translate(V); }
inline gp_Hypr2d gp_Hypr2d::Translated (const gp_Vec2d& V) const
{
gp_Hypr2d H = *this;
H.pos.Translate(V);
return H;
}
inline void gp_Hypr2d::Translate (const gp_Pnt2d& P1,
const gp_Pnt2d& P2)
{
pos.Translate(P1, P2);
}
inline gp_Hypr2d gp_Hypr2d::Translated (const gp_Pnt2d& P1,
const gp_Pnt2d& P2) const
{
gp_Hypr2d H = *this;
H.pos.Translate(P1, P2);
return H;
}
|
