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
|
// File: GeomLib_DenominatorMultiplier.cxx
// Created: Tue May 13 11:48:12 1997
// Author: Stagiaire Francois DUMONT
// <dum@brunox.paris1.matra-dtv.fr>
#include <GeomLib_DenominatorMultiplier.ixx>
#include <gp_Pnt.hxx>
#include <gp_Vec.hxx>
#include <TColgp_Array2OfPnt.hxx>
#include <TColStd_Array2OfReal.hxx>
#include <TColStd_Array1OfReal.hxx>
#include <TColStd_Array1OfInteger.hxx>
#include <BSplSLib.hxx>
#include <math_Matrix.hxx>
//=======================================================================
//function :GeomLib_DenominatorMultiplier
//purpose :
//=======================================================================
GeomLib_DenominatorMultiplier::GeomLib_DenominatorMultiplier
(const Handle(Geom_BSplineSurface) & Surface,
const TColStd_Array1OfReal & KnotVector):mySurface(Surface),
myKnotFlatVector(1,KnotVector.Length())
{Standard_Integer i;
for (i=1;i<=KnotVector.Length();i++)
myKnotFlatVector.SetValue(i,KnotVector(i));
}
//=======================================================================
//function : value
//purpose : give the value of a(UParameter,VParameter)
//=======================================================================
Standard_Real GeomLib_DenominatorMultiplier::Value(const Standard_Real UParameter,
const Standard_Real VParameter)const
{Standard_Real Dumaxv,Duminv,dDduumaxv,dDduuminv,
Dv,Buv=0.0;
// gp_Pnt HermPnt;
gp_Pnt N;
gp_Vec Nu,Nv;
TColgp_Array2OfPnt surface_poles(1,mySurface->NbUPoles(),
1,mySurface->NbVPoles()) ;
TColStd_Array2OfReal surface_weights(1,mySurface->NbUPoles(),
1,mySurface->NbVPoles()) ;
TColStd_Array1OfReal surface_u_knots(1,mySurface->NbUKnots()) ;
TColStd_Array1OfInteger surface_u_mults(1,mySurface->NbUKnots()) ;
TColStd_Array1OfReal surface_v_knots(1,mySurface->NbVKnots()) ;
TColStd_Array1OfInteger surface_v_mults(1,mySurface->NbVKnots()) ;
Standard_Integer udegree,vdegree;
mySurface->UKnots(surface_u_knots) ;
mySurface->UMultiplicities(surface_u_mults) ;
mySurface->Poles(surface_poles) ;
mySurface->Weights(surface_weights) ;
mySurface->VKnots(surface_v_knots) ;
mySurface->VMultiplicities(surface_v_mults) ;
udegree=mySurface->UDegree();
vdegree=mySurface->VDegree();
BSplSLib::HomogeneousD1(mySurface->UKnot(mySurface->LastUKnotIndex()),VParameter,
0,0,
surface_poles,
surface_weights,
surface_u_knots,surface_v_knots,
surface_u_mults,surface_v_mults,
udegree,vdegree,
mySurface->IsURational(),mySurface->IsVRational(),
mySurface->IsUPeriodic(),mySurface->IsVPeriodic(),
N,Nu,Nv,
Dumaxv,
dDduumaxv,
Dv);
BSplSLib::HomogeneousD1(mySurface->UKnot(1),VParameter,
0,0,
surface_poles,
surface_weights,
surface_u_knots,surface_v_knots,
surface_u_mults,surface_v_mults,
udegree,vdegree,
mySurface->IsURational(),mySurface->IsVRational(),
mySurface->IsUPeriodic(),mySurface->IsVPeriodic(),
N,Nu,Nv,
Duminv,
dDduuminv,
Dv);
math_Matrix BSplineBasisDeriv(1,2,1,4,0.0);
Standard_Real B1prim0,Bprelastprim1,
lambda=(mySurface->Weight(1,1)/mySurface->Weight(mySurface->NbUPoles(),1));
Standard_Integer index,i;
BSplCLib::EvalBsplineBasis(1,
1,
4,
myKnotFlatVector,
0.0,
index,
BSplineBasisDeriv);
B1prim0=BSplineBasisDeriv(2,2);
BSplCLib::EvalBsplineBasis(1,
1,
4,
myKnotFlatVector,
1.0,
index,
BSplineBasisDeriv);
Bprelastprim1=BSplineBasisDeriv(2,3);
math_Matrix BSplineBasisValue(1,1,1,4,0.0);
BSplCLib::EvalBsplineBasis(1,
0,
4,
myKnotFlatVector,
UParameter,
index,
BSplineBasisValue);
TColStd_Array1OfReal value(0,5);
TColStd_Array1OfReal Polesenv(0,5); //poles of a(u,v)
for (i=0;i<=5;i++)
Polesenv(i)=0.0;
Polesenv(0)=Duminv;
Polesenv(1)=Duminv-dDduuminv/B1prim0;
Polesenv(4)=lambda*lambda*(Dumaxv-dDduumaxv/Bprelastprim1);
Polesenv(5)=lambda*lambda*Dumaxv;
if (myKnotFlatVector.Length()==8){
value(0)=BSplineBasisValue(1,1); //values of the basic functions
value(1)=BSplineBasisValue(1,2);
value(2)=0.0;
value(3)=0.0;
value(4)=BSplineBasisValue(1,3);
value(5)=BSplineBasisValue(1,4);
}
if (myKnotFlatVector.Length()==9){
if (index==1){
value(0)=BSplineBasisValue(1,1);
value(1)=BSplineBasisValue(1,2);
value(2)=BSplineBasisValue(1,3);
value(3)=0.0;
value(4)=BSplineBasisValue(1,4);
value(5)=0.0;
}
else{
value(0)=0.0;
value(1)=BSplineBasisValue(1,1);
value(2)=BSplineBasisValue(1,2);
value(3)=0.0;
value(4)=BSplineBasisValue(1,3);
value(5)=BSplineBasisValue(1,4);
}
Polesenv(2)=(0.5*(Polesenv(0)+Polesenv(5)));
}
if (myKnotFlatVector.Length()==10){
if (index==1){
value(0)=BSplineBasisValue(1,1);
value(1)=BSplineBasisValue(1,2);
value(2)=BSplineBasisValue(1,3);
value(3)=BSplineBasisValue(1,4);
value(4)=0.0;
value(5)=0.0;
}
if (index==2){
value(0)=0.0;
value(1)=BSplineBasisValue(1,1);
value(2)=BSplineBasisValue(1,2);
value(3)=BSplineBasisValue(1,3);
value(4)=BSplineBasisValue(1,4);
value(5)=0.0;
}
if (index==3){
value(0)=0.0;
value(1)=0.0;
value(2)=BSplineBasisValue(1,1);
value(3)=BSplineBasisValue(1,2);
value(4)=BSplineBasisValue(1,3);
value(5)=BSplineBasisValue(1,4);
}
Polesenv(2)=(0.5*(Polesenv(0)+Polesenv(5)));
Polesenv(3)=Polesenv(2);
}
for (i=0;i<=5;i++)
Buv+=Polesenv(i)*value(i);
return Buv;
}
|
