1 // Created on: 1996-09-09
2 // Created by: Herve LOUESSARD
3 // Copyright (c) 1996-1999 Matra Datavision
4 // Copyright (c) 1999-2014 OPEN CASCADE SAS
6 // This file is part of Open CASCADE Technology software library.
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.
14 // Alternatively, this file may be used under the terms of Open CASCADE
15 // commercial license or contractual agreement.
18 #include <Geom2d_Curve.hxx>
19 #include <Geom_Surface.hxx>
20 #include <GeomLProp_SLProps.hxx>
24 #include <gp_Pnt2d.hxx>
26 #include <LocalAnalysis_SurfaceContinuity.hxx>
27 #include <StdFail_NotDone.hxx>
29 /*********************************************************************************/
30 /*********************************************************************************/
31 void LocalAnalysis_SurfaceContinuity::SurfC0 (const GeomLProp_SLProps& Surf1,
32 const GeomLProp_SLProps& Surf2
34 { myContC0=(Surf1.Value()).Distance(Surf2.Value());
37 /*********************************************************************************/
39 void LocalAnalysis_SurfaceContinuity::SurfC1( GeomLProp_SLProps& Surf1,
40 GeomLProp_SLProps & Surf2)
41 { gp_Vec V1u, V2u, V1v, V2v;
42 Standard_Real norm1u, norm2u, norm1v, norm2v,angu,angv;
50 norm1u = V1u.Magnitude();
51 norm2u = V2u.Magnitude();
52 norm1v = V1v.Magnitude();
53 norm2v = V2v.Magnitude();
55 if ((norm1u>myepsnul )&&(norm2u>myepsnul )&&(norm1v>myepsnul)
57 { if (norm1u >= norm2u )
58 myLambda1U= norm2u / norm1u;
59 else myLambda1U = norm1u / norm2u;
60 if (norm1v >= norm2v )
61 myLambda1V= norm2v / norm1v;
62 else myLambda1V = norm1v / norm2v;
64 if (angu>M_PI/2) myContC1U=M_PI-angu;
67 if (angv>M_PI/2) myContC1V=M_PI-angv;
68 else myContC1V=angv; }
69 else {myIsDone = Standard_False;
70 myErrorStatus=LocalAnalysis_NullFirstDerivative;}
73 /*********************************************************************************/
75 void LocalAnalysis_SurfaceContinuity::SurfC2( GeomLProp_SLProps& Surf1,
76 GeomLProp_SLProps& Surf2)
78 { gp_Vec V11u, V12u, V21u, V22u, V11v, V12v, V21v, V22v;
79 Standard_Real norm11u, norm12u, norm21u, norm22u, norm11v, norm12v, norm21v, norm22v;
85 norm11u = V11u.Magnitude();
86 norm12u = V12u.Magnitude();
87 norm21u = V21u.Magnitude();
88 norm22u = V22u.Magnitude();
90 if ((norm11u>myepsnul)&&(norm12u>myepsnul))
91 { if( (norm21u>myepsnul)&&(norm22u>myepsnul))
92 { if (norm11u >= norm12u )
93 {myLambda1U= norm12u / norm11u;
94 myLambda2U = norm22u /norm21u;}
95 else {myLambda1U = norm11u / norm12u;
96 myLambda2U = norm21u / norm22u;}
98 if(ang>M_PI/2) myContC2U=M_PI-ang;
101 { myIsDone=Standard_False;
102 myErrorStatus=LocalAnalysis_NullSecondDerivative;}
105 else { myIsDone=Standard_False;
106 myErrorStatus=LocalAnalysis_NullFirstDerivative;}
112 norm11v = V11v.Magnitude();
113 norm12v = V12v.Magnitude();
114 norm21v = V21v.Magnitude();
115 norm22v = V22v.Magnitude();
117 if ((norm11v>myepsnul)&&(norm12v>myepsnul))
118 {if ((norm21v>myepsnul)&&(norm22v>myepsnul))
119 {if ( norm11v >= norm12v )
120 {myLambda1V= norm12v / norm11v;
121 myLambda2V= norm22v / norm21v;}
122 else{ myLambda1V = norm11v / norm12v;
123 myLambda2V = norm21v / norm22v;}
124 ang= V21v.Angle(V22v);
125 if (ang>M_PI/2) myContC2V=M_PI-ang;
128 else{ myIsDone= Standard_False;
129 myErrorStatus=LocalAnalysis_NullSecondDerivative; }
131 else{ myIsDone=Standard_False;
132 myErrorStatus=LocalAnalysis_NullFirstDerivative;}
135 /*********************************************************************************/
136 void LocalAnalysis_SurfaceContinuity::SurfG1( GeomLProp_SLProps& Surf1,
137 GeomLProp_SLProps& Surf2)
138 { if (Surf1.IsNormalDefined()&&Surf2.IsNormalDefined())
139 { gp_Dir D1 = Surf1.Normal();
140 gp_Dir D2 = Surf2.Normal();
141 Standard_Real ang=D1.Angle(D2);
142 if (ang>M_PI/2) myContG1= M_PI-ang;
145 else{ myIsDone=Standard_False;
146 myErrorStatus=LocalAnalysis_NormalNotDefined;}
149 /*********************************************************************************/
151 void LocalAnalysis_SurfaceContinuity::SurfG2 ( GeomLProp_SLProps& Surf1,
152 GeomLProp_SLProps & Surf2)
153 { gp_Dir DMIN1, DMIN2, DMAX1, DMAX2;
154 Standard_Real RMIN1,RMIN2,RMAX1,RMAX2;
155 Standard_Real x1, x2, y1, y2, z1, z2;
157 if ( Surf1.IsCurvatureDefined() && Surf2.IsCurvatureDefined())
159 Surf1.CurvatureDirections(DMIN1, DMAX1);
160 Surf2.CurvatureDirections(DMIN2, DMAX2);
161 DMIN1.Coord(x1, y1, z1);
162 DMAX1.Coord(x2, y2, z2);
163 gp_Dir MCD1( (Abs(x1)+Abs(x2))/2, (Abs(y1)+Abs(y2))/2, (Abs(z1)+Abs(z2))/2 );
164 DMIN2.Coord(x1, y1, z1);
165 DMAX2.Coord(x2, y2, z2);
166 gp_Dir MCD2( (Abs(x1)+Abs(x2))/2, (Abs(y1)+Abs(y2))/2, (Abs(z1)+Abs(z2))/2 );
168 myAlpha = MCD1.Angle( MCD2 );
169 RMIN1 = Surf1.MinCurvature();
170 RMAX1 = Surf1.MaxCurvature();
171 RMIN2 = Surf2.MinCurvature();
172 RMAX2 = Surf2.MaxCurvature();
173 myETA1 = (RMIN1+RMAX1)/2;
174 myETA2 = (RMIN2+RMAX2)/2;
175 myETA = (myETA1+myETA2)/2;
176 myZETA1 = (RMAX1-RMIN1)/2;
177 myZETA2 = (RMAX2-RMIN2)/2;
178 myZETA = (myZETA1+myZETA2)/2;
179 Standard_Real DETA,DZETA;
180 DETA = ( myETA1- myETA2)/2;
181 DZETA =( myZETA1- myZETA2)/2;
182 myGap= Abs(DETA) + sqrt( DZETA*DZETA*Cos(myAlpha)*Cos(myAlpha)
183 + myZETA*myZETA*Sin(myAlpha)*Sin(myAlpha));
185 else {myIsDone = Standard_False;
186 myErrorStatus=LocalAnalysis_CurvatureNotDefined;}
189 LocalAnalysis_SurfaceContinuity::LocalAnalysis_SurfaceContinuity(const Standard_Real EpsNul,
190 const Standard_Real EpsC0,
191 const Standard_Real EpsC1,
192 const Standard_Real EpsC2,
193 const Standard_Real EpsG1,
194 const Standard_Real Percent,
195 const Standard_Real Maxlen)
203 myIsDone = Standard_True;
205 void LocalAnalysis_SurfaceContinuity::ComputeAnalysis(GeomLProp_SLProps& Surf1,
206 GeomLProp_SLProps& Surf2,
207 const GeomAbs_Shape Order)
208 { myTypeCont = Order;
210 { case GeomAbs_C0 : {
211 SurfC0(Surf1, Surf2);
215 SurfC0(Surf1, Surf2);
216 SurfC1(Surf1, Surf2);}
219 SurfC0(Surf1, Surf2);
220 SurfC1(Surf1, Surf2);
221 SurfC2(Surf1, Surf2);}
224 SurfC0(Surf1, Surf2);
225 SurfG1(Surf1, Surf2);}
228 SurfC0(Surf1, Surf2);
229 SurfG1(Surf1, Surf2);
230 SurfG2(Surf1, Surf2);}
237 /*********************************************************************************/
239 LocalAnalysis_SurfaceContinuity::LocalAnalysis_SurfaceContinuity( const Handle(Geom_Surface)& Surf1,
240 const Standard_Real u1, const Standard_Real v1,
241 const Handle(Geom_Surface)& Surf2, const Standard_Real u2,
242 const Standard_Real v2, const GeomAbs_Shape Ordre,
243 const Standard_Real EpsNul,
244 const Standard_Real EpsC0 ,
245 const Standard_Real EpsC1 ,
246 const Standard_Real EpsC2,
247 const Standard_Real EpsG1,
248 const Standard_Real Percent,
249 const Standard_Real Maxlen )
250 { myTypeCont = Ordre;
258 myIsDone = Standard_True;
260 { case GeomAbs_C0 : {
261 GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 0, myepsnul);
262 GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 0, myepsnul);
263 SurfC0(Surfa1, Surfa2);
267 GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 1, myepsnul);
268 GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 1, myepsnul);
269 SurfC0(Surfa1, Surfa2);
270 SurfC1(Surfa1, Surfa2);}
273 GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 2, myepsnul);
274 GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 2, myepsnul);
275 SurfC0(Surfa1, Surfa2);
276 SurfC1(Surfa1, Surfa2);
277 SurfC2(Surfa1, Surfa2);}
280 GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 1, myepsnul);
281 GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 1, myepsnul);
282 SurfC0(Surfa1, Surfa2);
283 SurfG1(Surfa1, Surfa2);}
286 GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 2, myepsnul);
287 GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 2, myepsnul);
288 SurfC0(Surfa1, Surfa2);
289 SurfG1(Surfa1, Surfa2);
290 SurfG2(Surfa1, Surfa2);}
296 /*********************************************************************************/
298 LocalAnalysis_SurfaceContinuity::LocalAnalysis_SurfaceContinuity(const Handle(Geom2d_Curve)& curv1,
299 const Handle(Geom2d_Curve)& curv2, const Standard_Real U,
300 const Handle(Geom_Surface)& Surf1 ,
301 const Handle(Geom_Surface)& Surf2,
302 const GeomAbs_Shape Ordre,
303 const Standard_Real EpsNul,
304 const Standard_Real EpsC0 ,
305 const Standard_Real EpsC1 ,
306 const Standard_Real EpsC2,
307 const Standard_Real EpsG1,
308 const Standard_Real Percent,
309 const Standard_Real Maxlen )
310 { Standard_Real pard1, parf1, pard2, parf2, u1, v1, u2, v2;
320 myIsDone = Standard_True;
322 pard1 = curv1->FirstParameter();
323 pard2 = curv2->FirstParameter();
324 parf1 = curv1->LastParameter();
325 parf2 = curv2->LastParameter();
328 if (!(((U <= parf1) && (U >= pard1)) &&((U <= parf2) && (U >= pard2))) ) myIsDone = Standard_False;
330 { gp_Pnt2d pt1 = curv1->Value(U);
331 gp_Pnt2d pt2 = curv2->Value(U);
336 { case GeomAbs_C0 : {
337 GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 0, myepsnul);
338 GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 0, myepsnul);
339 SurfC0(Surfa1, Surfa2);
343 GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 1, myepsnul);
344 GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 1, myepsnul);
345 SurfC0(Surfa1, Surfa2);
346 SurfC1(Surfa1, Surfa2);}
349 GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 2, myepsnul);
350 GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 2, myepsnul);
351 SurfC0(Surfa1, Surfa2);
352 SurfC1(Surfa1, Surfa2);
353 SurfC2(Surfa1, Surfa2);}
356 GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 1, myepsnul);
357 GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 1, myepsnul);
358 SurfC0(Surfa1, Surfa2);
359 SurfG1(Surfa1, Surfa2);}
362 GeomLProp_SLProps Surfa1 ( Surf1, u1, v1, 2, myepsnul);
363 GeomLProp_SLProps Surfa2 ( Surf2, u2, v2, 2, myepsnul);
364 SurfC0(Surfa1, Surfa2);
365 SurfG1(Surfa1, Surfa2);
366 SurfG2(Surfa1, Surfa2);}
373 /*********************************************************************************/
375 Standard_Boolean LocalAnalysis_SurfaceContinuity::IsC0() const
376 { if (!myIsDone) { throw StdFail_NotDone();}
377 if ( myContC0 <= myepsC0 )
378 return Standard_True;
379 else return Standard_False;
382 /*********************************************************************************/
384 Standard_Boolean LocalAnalysis_SurfaceContinuity::IsC1() const
385 { if (!myIsDone) { throw StdFail_NotDone();}
386 if ( IsC0 () && (myContC1U <= myepsC1) && (myContC1V <= myepsC1))
387 return Standard_True;
388 else return Standard_False;
391 /*********************************************************************************/
393 Standard_Boolean LocalAnalysis_SurfaceContinuity::IsC2() const
394 { Standard_Real eps1u, eps1v, eps2u, eps2v;
396 if (!myIsDone) { throw StdFail_NotDone();}
398 { eps1u = 0.5*myepsC1*myepsC1*myLambda1U;
399 eps1v = 0.5*myepsC1*myepsC1*myLambda1V;
400 eps2u = 0.5*myepsC2*myepsC2*myLambda2U;
401 eps2v = 0.5*myepsC2*myepsC2*myLambda2V;
402 if ((myContC2U < myepsC2) && (myContC2V < myepsC2))
403 { if (Abs(myLambda1U*myLambda1U-myLambda2U) <= (eps1u*eps1u+eps2u))
404 if (Abs(myLambda1V*myLambda1V-myLambda2V) <= (eps1v*eps1v+eps2v))
405 return Standard_True;
406 else return Standard_False;
407 else return Standard_False;
409 else return Standard_False;
411 else return Standard_False;
415 /*********************************************************************************/
417 Standard_Boolean LocalAnalysis_SurfaceContinuity::IsG1() const
419 if (!myIsDone) { throw StdFail_NotDone();}
420 if ( IsC0 () &&( myContG1 <= myepsG1))
421 return Standard_True;
422 else return Standard_False;
425 /*********************************************************************************/
427 Standard_Boolean LocalAnalysis_SurfaceContinuity::IsG2()const
428 { Standard_Real EPSNL;
429 Standard_Integer itype;
431 if (!myIsDone) { throw StdFail_NotDone();}
433 EPSNL= 8*myepsC0/(mymaxlen*mymaxlen);
435 { if ( ( Abs(myETA)< EPSNL) && ( Abs(myZETA)< EPSNL))
436 return Standard_True;
437 if ( ( Abs(myZETA1)< EPSNL) && ( Abs(myZETA2)< EPSNL))
439 else if ( ( Abs(myETA1)< EPSNL) && ( Abs(myETA2)< EPSNL))
441 else if ((Abs(Abs(myZETA)-Abs(myETA))) < EPSNL)
443 else if ((myETA1<myZETA1)&&(myETA2<myZETA2))
445 else if ((myETA1>myZETA1)&&(myETA2>myZETA2))
450 if (( myETA >= (2*myZETA))&&(myGap<=(myperce*(myETA-myZETA)))) return Standard_True;
451 if (( myZETA>= myETA) && ( myGap<= (myperce*myZETA))) return Standard_True;
452 if (( myZETA<= myETA) && ( myETA <= (2*myZETA)) && (myGap <= (myperce * myETA)))
453 return Standard_True;
454 else return Standard_False;
457 else return Standard_False;
459 else return Standard_False;
464 /*********************************************************************************/
466 GeomAbs_Shape LocalAnalysis_SurfaceContinuity::ContinuityStatus() const
468 if (!myIsDone) { throw StdFail_NotDone();}
472 /*********************************************************************************/
474 Standard_Real LocalAnalysis_SurfaceContinuity::C0Value() const
476 if (!myIsDone) { throw StdFail_NotDone();}
480 /*********************************************************************************/
482 Standard_Real LocalAnalysis_SurfaceContinuity::C1UAngle() const
484 if (!myIsDone) { throw StdFail_NotDone();}
485 return ( myContC1U );
488 /*********************************************************************************/
490 Standard_Real LocalAnalysis_SurfaceContinuity::C1VAngle() const
492 if (!myIsDone) { throw StdFail_NotDone();}
493 return ( myContC1V );
496 /*********************************************************************************/
498 Standard_Real LocalAnalysis_SurfaceContinuity::C2UAngle() const
500 if (!myIsDone) { throw StdFail_NotDone();}
501 return ( myContC2U );
504 /*********************************************************************************/
506 Standard_Real LocalAnalysis_SurfaceContinuity::C2VAngle() const
508 if (!myIsDone) { throw StdFail_NotDone();}
509 return ( myContC2V );
512 /*********************************************************************************/
514 Standard_Real LocalAnalysis_SurfaceContinuity::G1Angle() const
516 if (!myIsDone) { throw StdFail_NotDone();}
520 /*********************************************************************************/
522 Standard_Real LocalAnalysis_SurfaceContinuity::C1URatio() const
524 if (!myIsDone) { throw StdFail_NotDone();}
525 return ( myLambda1U );
528 /*********************************************************************************/
530 Standard_Real LocalAnalysis_SurfaceContinuity::C2URatio() const
532 if (!myIsDone) { throw StdFail_NotDone();}
533 return ( myLambda2U );
536 /*********************************************************************************/
538 Standard_Real LocalAnalysis_SurfaceContinuity::C1VRatio() const
540 if (!myIsDone) { throw StdFail_NotDone();}
541 return ( myLambda1V );
544 /*********************************************************************************/
546 Standard_Real LocalAnalysis_SurfaceContinuity::C2VRatio() const
548 if (!myIsDone) { throw StdFail_NotDone();}
549 return ( myLambda2V );
552 /*********************************************************************************/
554 Standard_Real LocalAnalysis_SurfaceContinuity::G2CurvatureGap() const
556 if (!myIsDone) { throw StdFail_NotDone();}
560 /*********************************************************************************/
562 Standard_Boolean LocalAnalysis_SurfaceContinuity::IsDone() const
563 { return ( myIsDone );
566 /*********************************************************************************/
567 LocalAnalysis_StatusErrorType LocalAnalysis_SurfaceContinuity::StatusError() const
569 return myErrorStatus;