1 // Created on: 1993-09-29
2 // Created by: Bruno DUMORTIER
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
18 #include <BSplCLib.hxx>
19 #include <GeomFill_Coons.hxx>
20 #include <PLib.hxx>
21 #include <TColgp_HArray2OfPnt.hxx>
22 #include <TColStd_HArray2OfReal.hxx>
23
24 //=======================================================================
25 //function : GeomFill_Coons
26 //purpose :
27 //=======================================================================
GeomFill_Coons()28 GeomFill_Coons::GeomFill_Coons()
29 {
30 }
31
32
33 //=======================================================================
34 //function : GeomFill_Coons
35 //purpose :
36 //=======================================================================
37
GeomFill_Coons(const TColgp_Array1OfPnt & P1,const TColgp_Array1OfPnt & P2,const TColgp_Array1OfPnt & P3,const TColgp_Array1OfPnt & P4)38 GeomFill_Coons::GeomFill_Coons(const TColgp_Array1OfPnt& P1,
39 const TColgp_Array1OfPnt& P2,
40 const TColgp_Array1OfPnt& P3,
41 const TColgp_Array1OfPnt& P4)
42 {
43 Init( P1, P2, P3, P4);
44 }
45
46
47 //=======================================================================
48 //function : GeomFill_Coons
49 //purpose :
50 //=======================================================================
51
GeomFill_Coons(const TColgp_Array1OfPnt & P1,const TColgp_Array1OfPnt & P2,const TColgp_Array1OfPnt & P3,const TColgp_Array1OfPnt & P4,const TColStd_Array1OfReal & W1,const TColStd_Array1OfReal & W2,const TColStd_Array1OfReal & W3,const TColStd_Array1OfReal & W4)52 GeomFill_Coons::GeomFill_Coons(const TColgp_Array1OfPnt& P1,
53 const TColgp_Array1OfPnt& P2,
54 const TColgp_Array1OfPnt& P3,
55 const TColgp_Array1OfPnt& P4,
56 const TColStd_Array1OfReal& W1,
57 const TColStd_Array1OfReal& W2,
58 const TColStd_Array1OfReal& W3,
59 const TColStd_Array1OfReal& W4)
60 {
61 Init( P1, P2, P3, P4, W1, W2, W3, W4);
62 }
63
64
65 //=======================================================================
66 //function : Init
67 //purpose :
68 //=======================================================================
69
Init(const TColgp_Array1OfPnt & P1,const TColgp_Array1OfPnt & P2,const TColgp_Array1OfPnt & P3,const TColgp_Array1OfPnt & P4)70 void GeomFill_Coons::Init(const TColgp_Array1OfPnt& P1,
71 const TColgp_Array1OfPnt& P2,
72 const TColgp_Array1OfPnt& P3,
73 const TColgp_Array1OfPnt& P4)
74 {
75 Standard_DomainError_Raise_if
76 ( P1.Length() != P3.Length() || P2.Length() != P4.Length()," ");
77
78 Standard_Integer NPolU = P1.Length();
79 Standard_Integer NPolV = P2.Length();
80
81 IsRational = Standard_False;
82
83 myPoles = new TColgp_HArray2OfPnt( 1, NPolU, 1, NPolV);
84
85 // The boundaries are not modified
86 Standard_Integer i,j,k;
87
88 for (i=1; i<=NPolU; i++) {
89 myPoles->SetValue( i, 1 , P1(i));
90 myPoles->SetValue( i, NPolV, P3(i));
91 }
92 for (i=1; i<=NPolV; i++) {
93 myPoles->SetValue( 1 , i, P2(i));
94 myPoles->SetValue( NPolU, i, P4(i));
95 }
96
97 // Calcul des coefficients multiplicateurs
98 TColgp_Array1OfPnt Coef ( 1, 4);
99 TColgp_Array1OfPnt Pole ( 1, 4);
100 TColgp_Array1OfPnt CoefU( 1, NPolU);
101 TColgp_Array1OfPnt CoefV( 1, NPolV);
102 Coef( 4) = gp_Pnt( 2., -2., 0.);
103 Coef( 3) = gp_Pnt( -3., 3., 0.);
104 Coef( 2) = gp_Pnt( 0., 0., 0.);
105 Coef( 1) = gp_Pnt( 1., 0., 0.);
106 PLib::CoefficientsPoles(Coef, PLib::NoWeights(),
107 Pole, PLib::NoWeights());
108 if (NPolU > 4) {
109 BSplCLib::IncreaseDegree(NPolU-1, Pole, BSplCLib::NoWeights(),
110 CoefU, BSplCLib::NoWeights());
111 }
112 else {
113 CoefU = Pole;
114 }
115 if (NPolV > 4) {
116 BSplCLib::IncreaseDegree(NPolV-1, Pole, BSplCLib::NoWeights(),
117 CoefV, BSplCLib::NoWeights());
118 }
119 else {
120 CoefV = Pole;
121 }
122 TColStd_Array1OfReal FU(2,NPolU-1);
123 TColStd_Array1OfReal GU(2,NPolU-1);
124 TColStd_Array1OfReal FV(2,NPolV-1);
125 TColStd_Array1OfReal GV(2,NPolV-1);
126 Standard_Real Dummy;
127 for ( i= 2; i< NPolU; i++) {
128 CoefU(i).Coord(FU(i), GU(i), Dummy);
129 }
130 for ( i= 2; i< NPolV; i++) {
131 CoefV(i).Coord(FV(i), GV(i), Dummy);
132 }
133
134 // Clacul des poles interieurs
135 gp_Pnt P;
136 for ( j=2; j<NPolV; j++) {
137 for ( i=2; i<NPolU; i++) {
138 for ( k=1; k<=3 ; k++) {
139 P.SetCoord( k,
140 FV(j) * (myPoles->Value(i ,1 )).Coord(k)
141 + GV(j) * (myPoles->Value(i ,NPolV)).Coord(k)
142 + FU(i) * (myPoles->Value(1 ,j )).Coord(k)
143 + GU(i) * (myPoles->Value(NPolU,j )).Coord(k)
144 - FU(i) * FV(j) * (myPoles->Value(1 ,1 )).Coord(k)
145 - FU(i) * GV(j) * (myPoles->Value(1 ,NPolV)).Coord(k)
146 - GU(i) * FV(j) * (myPoles->Value(NPolU,1 )).Coord(k)
147 - GU(i) * GV(j) * (myPoles->Value(NPolU,NPolV)).Coord(k));
148 }
149 myPoles->SetValue(i,j,P);
150 }
151 }
152 }
153
154
155 //=======================================================================
156 //function : Init
157 //purpose :
158 //=======================================================================
159
Init(const TColgp_Array1OfPnt & P1,const TColgp_Array1OfPnt & P2,const TColgp_Array1OfPnt & P3,const TColgp_Array1OfPnt & P4,const TColStd_Array1OfReal & W1,const TColStd_Array1OfReal & W2,const TColStd_Array1OfReal & W3,const TColStd_Array1OfReal & W4)160 void GeomFill_Coons::Init(const TColgp_Array1OfPnt& P1,
161 const TColgp_Array1OfPnt& P2,
162 const TColgp_Array1OfPnt& P3,
163 const TColgp_Array1OfPnt& P4,
164 const TColStd_Array1OfReal& W1,
165 const TColStd_Array1OfReal& W2,
166 const TColStd_Array1OfReal& W3,
167 const TColStd_Array1OfReal& W4
168 )
169 {
170
171 Standard_DomainError_Raise_if
172 ( W1.Length() != W3.Length() || W2.Length() != W4.Length()," ");
173 Standard_DomainError_Raise_if
174 ( W1.Length() != P1.Length() ||
175 W2.Length() != P2.Length() ||
176 W3.Length() != P3.Length() ||
177 W4.Length() != P4.Length() , " ");
178 Init(P1,P2,P3,P4);
179 IsRational = Standard_True;
180
181 Standard_Integer NPolU = W1.Length();
182 Standard_Integer NPolV = W2.Length();
183
184 //#ifdef OCCT_DEBUG
185 Standard_Real NU = NPolU - 1;
186 Standard_Real NV = NPolV - 1;
187 //#endif
188 myWeights = new TColStd_HArray2OfReal( 1, NPolU, 1, NPolV);
189 // The boundaries are not modified
190 Standard_Integer i,j;
191 for ( i=1; i<=NPolU; i++) {
192 myWeights->SetValue( i, 1 , W1(i));
193 myWeights->SetValue( i, NPolV, W3(i));
194 }
195 Standard_Real PU,PU1,PV,PV1;
196
197 for ( j=2; j<=NPolV-1; j++) {
198 PV = (j-1)/NV;
199 PV1 = 1 - PV;
200 myWeights->SetValue( 1 , j, W4(j));
201 myWeights->SetValue( NPolU, j, W2(j));
202
203 for ( i=2; i<=NPolU-1; i++) {
204 PU = (i-1)/NU;
205 PU1 = 1 - PU;
206
207 // Standard_Real W = 0.5 * ( PV1 * W1(i) + PV * W3(i) +
208 // PU * W2(j) + PU1 * W4(j) );
209 Standard_Real W = PV1 * W1(i) + PV * W3(i) +
210 PU * W2(j) + PU1 * W4(j) -
211 ( PU1 * PV1 * W1(1) +
212 PU * PV1 * W2(1) +
213 PU * PV * W3(NPolU) +
214 PU1 * PV * W4(NPolV) );
215
216 myWeights->SetValue(i,j,W);
217 }
218 }
219
220 }
221
222
223
224