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
|
// File gp_Elips.lxx JCV 06/10/90
// Modified by skv - Fri Apr 8 10:28:10 2005 OCC8559
#include <gp.hxx>
#include <Standard_ConstructionError.hxx>
inline gp_Elips::gp_Elips () :
majorRadius (RealLast()),
minorRadius (RealSmall())
{ }
inline gp_Elips::gp_Elips (const gp_Ax2& A2,
const Standard_Real MajorRadius,
const Standard_Real MinorRadius) :
pos(A2),
majorRadius (MajorRadius),
minorRadius (MinorRadius)
{
Standard_ConstructionError_Raise_if
(MinorRadius < 0.0 || MajorRadius < MinorRadius,"");
}
inline Standard_Real gp_Elips::Area() const
{ return Standard_PI * majorRadius * minorRadius; }
inline Standard_Real gp_Elips::MajorRadius() const
{ return majorRadius; }
inline Standard_Real gp_Elips::MinorRadius() const
{ return minorRadius; }
inline Standard_Real gp_Elips::Parameter() const
{
if (majorRadius == 0.0) return 0.0;
else return (minorRadius * minorRadius) / majorRadius;
}
inline const gp_Ax2& gp_Elips::Position() const
{ return pos; }
inline const gp_Ax1& gp_Elips::Axis () const
{ return pos.Axis(); }
inline gp_Ax1 gp_Elips::Directrix1() const
{
Standard_Real E = Eccentricity();
Standard_ConstructionError_Raise_if (E <= gp::Resolution(), "");
gp_XYZ Orig = pos.XDirection().XYZ();
Orig.Multiply (majorRadius/E);
Orig.Add (pos.Location().XYZ());
return gp_Ax1 (gp_Pnt(Orig), pos.YDirection());
}
inline gp_Ax1 gp_Elips::Directrix2() const
{
Standard_Real E = Eccentricity();
Standard_ConstructionError_Raise_if (E <= gp::Resolution(), "");
gp_XYZ Orig = pos.XDirection().XYZ();
Orig.Multiply (-majorRadius/E);
Orig.Add (pos.Location().XYZ());
return gp_Ax1 (gp_Pnt(Orig), pos.YDirection());
}
inline Standard_Real gp_Elips::Eccentricity() const
{
if (majorRadius == 0.0) { return 0.0; }
else {
return sqrt(majorRadius * majorRadius -
minorRadius * minorRadius) / majorRadius;
}
}
inline Standard_Real gp_Elips::Focal() const
{
return 2.0 * sqrt(majorRadius * majorRadius -
minorRadius * minorRadius);
}
inline gp_Pnt gp_Elips::Focus1() const
{
Standard_Real C = sqrt(majorRadius * majorRadius -
minorRadius * minorRadius);
const gp_Pnt& PP = pos.Location ();
const gp_Dir& DD = pos.XDirection();
return gp_Pnt (PP.X() + C * DD.X(),
PP.Y() + C * DD.Y(),
PP.Z() + C * DD.Z());
}
inline gp_Pnt gp_Elips::Focus2() const
{
Standard_Real C = sqrt(majorRadius * majorRadius -
minorRadius * minorRadius);
const gp_Pnt& PP = pos.Location ();
const gp_Dir& DD = pos.XDirection();
return gp_Pnt (PP.X() - C * DD.X(),
PP.Y() - C * DD.Y(),
PP.Z() - C * DD.Z());
}
inline const gp_Pnt& gp_Elips::Location () const
{ return pos.Location(); }
inline gp_Ax1 gp_Elips::XAxis () const
{ return gp_Ax1 (pos.Location(), pos.XDirection()); }
inline gp_Ax1 gp_Elips::YAxis () const
{ return gp_Ax1 (pos.Location(), pos.YDirection()); }
inline void gp_Elips::SetAxis (const gp_Ax1& A1)
{ pos.SetAxis(A1); }
inline void gp_Elips::SetPosition (const gp_Ax2& A2)
{ pos = A2; }
inline void gp_Elips::SetLocation (const gp_Pnt& P)
{ pos.SetLocation (P); }
inline void gp_Elips::SetMajorRadius (const Standard_Real R)
{
Standard_ConstructionError_Raise_if(R < minorRadius,"");
majorRadius = R;
}
inline void gp_Elips::SetMinorRadius (const Standard_Real R)
{
Standard_ConstructionError_Raise_if(R < 0.0 || majorRadius < R,"");
minorRadius = R;
}
inline void gp_Elips::Rotate (const gp_Ax1& A1,
const Standard_Real Ang) { pos.Rotate(A1, Ang); }
inline gp_Elips gp_Elips::Rotated (const gp_Ax1& A1,
const Standard_Real Ang) const
{
gp_Elips E = *this;
E.pos.Rotate(A1, Ang);
return E;
}
inline void gp_Elips::Scale (const gp_Pnt& P,
const Standard_Real S)
// Modified by skv - Fri Apr 8 10:28:10 2005 OCC8559 Begin
// { pos.Scale(P, S); }
{
majorRadius *= S;
if (majorRadius < 0) majorRadius = - majorRadius;
minorRadius *= S;
if (minorRadius < 0) minorRadius = - minorRadius;
pos.Scale(P, S);
}
// Modified by skv - Fri Apr 8 10:28:10 2005 OCC8559 End
inline gp_Elips gp_Elips::Scaled (const gp_Pnt& P,
const Standard_Real S) const
{
gp_Elips E = *this;
E.majorRadius *= S;
if (E.majorRadius < 0) E.majorRadius = - E.majorRadius;
E.minorRadius *= S;
if (E.minorRadius < 0) E.minorRadius = - E.minorRadius;
E.pos.Scale(P, S);
return E;
}
inline void gp_Elips::Transform (const gp_Trsf& T)
{
majorRadius *= T.ScaleFactor();
if (majorRadius < 0) majorRadius = - majorRadius;
minorRadius *= T.ScaleFactor();
if (minorRadius < 0) minorRadius = - minorRadius;
pos.Transform(T);
}
inline gp_Elips gp_Elips::Transformed (const gp_Trsf& T) const
{
gp_Elips E = *this;
E.majorRadius *= T.ScaleFactor();
if (E.majorRadius < 0) E.majorRadius = - E.majorRadius;
E.minorRadius *= T.ScaleFactor();
if (E.minorRadius < 0) E.minorRadius = - E.minorRadius;
E.pos.Transform(T);
return E;
}
inline void gp_Elips::Translate (const gp_Vec& V)
{ pos.Translate(V); }
inline gp_Elips gp_Elips::Translated (const gp_Vec& V) const
{
gp_Elips E = *this;
E.pos.Translate(V);
return E;
}
inline void gp_Elips::Translate (const gp_Pnt& P1,
const gp_Pnt& P2)
{ pos.Translate(P1, P2); }
inline gp_Elips gp_Elips::Translated (const gp_Pnt& P1,
const gp_Pnt& P2) const
{
gp_Elips E = *this;
E.pos.Translate(P1, P2);
return E;
}
|
