src/SketchSolver/PlaneGCSSolver/PlaneGCSSolver_Tools.cpp

   1 // Copyright (C) 2014-2019  CEA/DEN, EDF R&D
   2 //
   3 // This library is free software; you can redistribute it and/or
   4 // modify it under the terms of the GNU Lesser General Public
   5 // License as published by the Free Software Foundation; either
   6 // version 2.1 of the License, or (at your option) any later version.
   7 //
   8 // This library is distributed in the hope that it will be useful,
   9 // but WITHOUT ANY WARRANTY; without even the implied warranty of
  10 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  11 // Lesser General Public License for more details.
  12 //
  13 // You should have received a copy of the GNU Lesser General Public
  14 // License along with this library; if not, write to the Free Software
  15 // Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307 USA
  16 //
  17 // See http://www.salome-platform.org/ or email : webmaster.salome@opencascade.com
  18 //
  19
  20 #include <PlaneGCSSolver_Tools.h>
  21 #include <PlaneGCSSolver_EdgeWrapper.h>
  22 #include <PlaneGCSSolver_PointWrapper.h>
  23 #include <PlaneGCSSolver_ScalarWrapper.h>
  24 #include <PlaneGCSSolver_ConstraintWrapper.h>
  25
  26 #include <SketchSolver_Constraint.h>
  27 #include <SketchSolver_ConstraintAngle.h>
  28 #include <SketchSolver_ConstraintCoincidence.h>
  29 #include <SketchPlugin_ConstraintCoincidenceInternal.h>
  30 #include <SketchSolver_ConstraintCollinear.h>
  31 #include <SketchSolver_ConstraintDistance.h>
  32 #include <SketchSolver_ConstraintEqual.h>
  33 #include <SketchSolver_ConstraintFixed.h>
  34 #include <SketchSolver_ConstraintLength.h>
  35 #include <SketchSolver_ConstraintMiddle.h>
  36 #include <SketchSolver_ConstraintMirror.h>
  37 #include <SketchSolver_ConstraintPerpendicular.h>
  38 #include <SketchSolver_ConstraintTangent.h>
  39 #include <SketchSolver_ConstraintMultiRotation.h>
  40 #include <SketchSolver_ConstraintMultiTranslation.h>
  41
  42 #include <SketchPlugin_ConstraintAngle.h>
  43 #include <SketchPlugin_ConstraintCoincidence.h>
  44 #include <SketchPlugin_ConstraintCollinear.h>
  45 #include <SketchPlugin_ConstraintDistance.h>
  46 #include <SketchPlugin_ConstraintDistanceHorizontal.h>
  47 #include <SketchPlugin_ConstraintDistanceVertical.h>
  48 #include <SketchPlugin_ConstraintEqual.h>
  49 #include <SketchPlugin_ConstraintLength.h>
  50 #include <SketchPlugin_ConstraintMiddle.h>
  51 #include <SketchPlugin_ConstraintMirror.h>
  52 #include <SketchPlugin_ConstraintRigid.h>
  53 #include <SketchPlugin_ConstraintPerpendicular.h>
  54 #include <SketchPlugin_ConstraintTangent.h>
  55 #include <SketchPlugin_Line.h>
  56 #include <SketchPlugin_MultiRotation.h>
  57 #include <SketchPlugin_MultiTranslation.h>
  58
  59 #include <GeomAPI_Circ2d.h>
  60 #include <GeomAPI_Dir2d.h>
  61 #include <GeomAPI_Ellipse2d.h>
  62 #include <GeomAPI_Lin2d.h>
  63 #include <GeomAPI_Pnt2d.h>
  64
  65 #include <cmath>
  66
  67
  68 #define GCS_EDGE_WRAPPER(x)   std::dynamic_pointer_cast<PlaneGCSSolver_EdgeWrapper>(x)
  69 #define GCS_POINT_WRAPPER(x)  std::dynamic_pointer_cast<PlaneGCSSolver_PointWrapper>(x)
  70 #define GCS_SCALAR_WRAPPER(x) std::dynamic_pointer_cast<PlaneGCSSolver_ScalarWrapper>(x)
  71
  72
  73
  74 static ConstraintWrapperPtr
  75   createConstraintCoincidence(std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint1,
  76                               std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint2);
  77 static ConstraintWrapperPtr
  78   createConstraintPointOnEntity(const SketchSolver_ConstraintType& theType,
  79                                 std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint,
  80                                 std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity);
  81 static ConstraintWrapperPtr
  82   createConstraintPointsCollinear(std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint1,
  83                                   std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint2,
  84                                   std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint3);
  85 static ConstraintWrapperPtr
  86   createConstraintDistancePointPoint(std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theValue,
  87                                      std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint1,
  88                                      std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint2);
  89 static ConstraintWrapperPtr
  90   createConstraintDistancePointLine(std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theValue,
  91                                     std::shared_ptr<PlaneGCSSolver_PointWrapper>  thePoint,
  92                                     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity);
  93 static ConstraintWrapperPtr
  94   createConstraintHVDistance(const SketchSolver_ConstraintType& theType,
  95                              std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theValue,
  96                              std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint1,
  97                              std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint2);
  98 static ConstraintWrapperPtr
  99   createConstraintRadius(std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theValue,
 100                          std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity);
 101 static ConstraintWrapperPtr
 102   createConstraintAngle(ConstraintPtr theConstraint,
 103                         std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theValue,
 104                         std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity1,
 105                         std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity2);
 106 static ConstraintWrapperPtr
 107   createConstraintHorizVert(const SketchSolver_ConstraintType& theType,
 108                             std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity);
 109 static ConstraintWrapperPtr
 110   createConstraintParallel(std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity1,
 111                            std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity2);
 112 static ConstraintWrapperPtr
 113   createConstraintPerpendicular(std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity1,
 114                                 std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity2);
 115 static ConstraintWrapperPtr
 116   createConstraintEqual(const SketchSolver_ConstraintType& theType,
 117                         std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity1,
 118                         std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity2,
 119                         std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theIntermed);
 120 static ConstraintWrapperPtr
 121   createConstraintMiddlePoint(std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint,
 122                               std::shared_ptr<PlaneGCSSolver_EdgeWrapper>  theEntity,
 123                               std::shared_ptr<PlaneGCSSolver_PointWrapper> theAuxParameters);
 124 static ConstraintWrapperPtr
 125   createConstraintAngleBetweenCurves(std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theValue,
 126                                      std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint,
 127                                      std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity1,
 128                                      std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity2);
 129
 130 static GCS::SET_pD scalarParameters(const ScalarWrapperPtr& theScalar);
 131 static GCS::SET_pD pointParameters(const PointWrapperPtr& thePoint);
 132 static GCS::SET_pD lineParameters(const EdgeWrapperPtr& theLine);
 133 static GCS::SET_pD circleParameters(const EdgeWrapperPtr& theCircle);
 134 static GCS::SET_pD arcParameters(const EdgeWrapperPtr& theArc);
 135 static GCS::SET_pD ellipseParameters(const EdgeWrapperPtr& theEllipse);
 136 static GCS::SET_pD ellipticArcParameters(const EdgeWrapperPtr& theEllipticArc);
 137
 138 static double distance(const GCS::Point& thePnt1, const GCS::Point& thePnt2);
 139
 140
 141
 142
 143
 144 SolverConstraintPtr PlaneGCSSolver_Tools::createConstraint(ConstraintPtr theConstraint)
 145 {
 146   if (theConstraint->getKind() == SketchPlugin_ConstraintCoincidence::ID() ||
 147       theConstraint->getKind() == SketchPlugin_ConstraintCoincidenceInternal::ID()) {
 148     return SolverConstraintPtr(new SketchSolver_ConstraintCoincidence(theConstraint));
 149   } else if (theConstraint->getKind() == SketchPlugin_ConstraintCollinear::ID()) {
 150     return SolverConstraintPtr(new SketchSolver_ConstraintCollinear(theConstraint));
 151   } else if (theConstraint->getKind() == SketchPlugin_ConstraintDistance::ID() ||
 152              theConstraint->getKind() == SketchPlugin_ConstraintDistanceHorizontal::ID() ||
 153              theConstraint->getKind() == SketchPlugin_ConstraintDistanceVertical::ID()) {
 154     return SolverConstraintPtr(new SketchSolver_ConstraintDistance(theConstraint));
 155   } else if (theConstraint->getKind() == SketchPlugin_ConstraintEqual::ID()) {
 156     return SolverConstraintPtr(new SketchSolver_ConstraintEqual(theConstraint));
 157   } else if (theConstraint->getKind() == SketchPlugin_ConstraintLength::ID()) {
 158     return SolverConstraintPtr(new SketchSolver_ConstraintLength(theConstraint));
 159   } else if (theConstraint->getKind() == SketchPlugin_ConstraintMiddle::ID()) {
 160     return SolverConstraintPtr(new SketchSolver_ConstraintMiddle(theConstraint));
 161   } else if (theConstraint->getKind() == SketchPlugin_ConstraintMirror::ID()) {
 162     return SolverConstraintPtr(new SketchSolver_ConstraintMirror(theConstraint));
 163   } else if (theConstraint->getKind() == SketchPlugin_ConstraintTangent::ID()) {
 164     return SolverConstraintPtr(new SketchSolver_ConstraintTangent(theConstraint));
 165   } else if (theConstraint->getKind() == SketchPlugin_ConstraintRigid::ID()) {
 166     return SolverConstraintPtr(new SketchSolver_ConstraintFixed(theConstraint));
 167   } else if (theConstraint->getKind() == SketchPlugin_MultiTranslation::ID()) {
 168     return SolverConstraintPtr(new SketchSolver_ConstraintMultiTranslation(theConstraint));
 169   } else if (theConstraint->getKind() == SketchPlugin_MultiRotation::ID()) {
 170     return SolverConstraintPtr(new SketchSolver_ConstraintMultiRotation(theConstraint));
 171   } else if (theConstraint->getKind() == SketchPlugin_ConstraintAngle::ID()) {
 172     return SolverConstraintPtr(new SketchSolver_ConstraintAngle(theConstraint));
 173   } else if (theConstraint->getKind() == SketchPlugin_ConstraintPerpendicular::ID()) {
 174     return SolverConstraintPtr(new SketchSolver_ConstraintPerpendicular(theConstraint));
 175   }
 176   // All other types of constraints
 177   return SolverConstraintPtr(new SketchSolver_Constraint(theConstraint));
 178 }
 179
 180 std::shared_ptr<SketchSolver_ConstraintMovement> PlaneGCSSolver_Tools::createMovementConstraint(
 181     FeaturePtr theMovedFeature)
 182 {
 183   return std::shared_ptr<SketchSolver_ConstraintMovement>(
 184       new SketchSolver_ConstraintMovement(theMovedFeature));
 185 }
 186
 187 std::shared_ptr<SketchSolver_ConstraintMovement> PlaneGCSSolver_Tools::createMovementConstraint(
 188     AttributePtr theMovedAttribute)
 189 {
 190   return std::shared_ptr<SketchSolver_ConstraintMovement>(
 191       new SketchSolver_ConstraintMovement(theMovedAttribute));
 192 }
 193
 194
 195
 196 ConstraintWrapperPtr PlaneGCSSolver_Tools::createConstraint(
 197     ConstraintPtr theConstraint,
 198     const SketchSolver_ConstraintType& theType,
 199     const EntityWrapperPtr& theValue,
 200     const EntityWrapperPtr& thePoint1,
 201     const EntityWrapperPtr& thePoint2,
 202     const EntityWrapperPtr& theEntity1,
 203     const EntityWrapperPtr& theEntity2)
 204 {
 205   ConstraintWrapperPtr aResult;
 206   ScalarWrapperPtr anIntermediate;
 207
 208   std::shared_ptr<PlaneGCSSolver_PointWrapper> aPoint1 = GCS_POINT_WRAPPER(thePoint1);
 209   std::shared_ptr<PlaneGCSSolver_PointWrapper> aPoint2 = GCS_POINT_WRAPPER(thePoint2);
 210   std::shared_ptr<PlaneGCSSolver_EdgeWrapper> anEntity1 = GCS_EDGE_WRAPPER(theEntity1);
 211
 212   switch (theType) {
 213   case CONSTRAINT_PT_PT_COINCIDENT:
 214     aResult = createConstraintCoincidence(aPoint1, aPoint2);
 215     break;
 216   case CONSTRAINT_PT_ON_CURVE:
 217     aResult = anEntity1 ? createConstraintPointOnEntity(theType, aPoint1, anEntity1):
 218               createConstraintPointsCollinear(aPoint1, aPoint2, GCS_POINT_WRAPPER(theEntity1));
 219     break;
 220   case CONSTRAINT_MIDDLE_POINT:
 221     aResult = createConstraintMiddlePoint(aPoint1, GCS_EDGE_WRAPPER(theEntity1), aPoint2);
 222     break;
 223   case CONSTRAINT_PT_PT_DISTANCE:
 224     aResult = createConstraintDistancePointPoint(GCS_SCALAR_WRAPPER(theValue), aPoint1, aPoint2);
 225     break;
 226   case CONSTRAINT_PT_LINE_DISTANCE:
 227     aResult = createConstraintDistancePointLine(GCS_SCALAR_WRAPPER(theValue),
 228                                                 aPoint1,
 229                                                 anEntity1);
 230     break;
 231   case CONSTRAINT_HORIZONTAL_DISTANCE:
 232   case CONSTRAINT_VERTICAL_DISTANCE:
 233     aResult = createConstraintHVDistance(theType, GCS_SCALAR_WRAPPER(theValue), aPoint1, aPoint2);
 234     break;
 235   case CONSTRAINT_RADIUS:
 236     aResult = createConstraintRadius(GCS_SCALAR_WRAPPER(theValue), anEntity1);
 237     break;
 238   case CONSTRAINT_ANGLE:
 239     aResult = createConstraintAngle(theConstraint,
 240                   GCS_SCALAR_WRAPPER(theValue),
 241                   anEntity1, GCS_EDGE_WRAPPER(theEntity2));
 242     break;
 243   case CONSTRAINT_FIXED:
 244     break;
 245   case CONSTRAINT_HORIZONTAL:
 246   case CONSTRAINT_VERTICAL:
 247     aResult = createConstraintHorizVert(theType, anEntity1);
 248     break;
 249   case CONSTRAINT_PARALLEL:
 250     aResult = createConstraintParallel(anEntity1, GCS_EDGE_WRAPPER(theEntity2));
 251     break;
 252   case CONSTRAINT_PERPENDICULAR:
 253     aResult = createConstraintPerpendicular(anEntity1, GCS_EDGE_WRAPPER(theEntity2));
 254     break;
 255   case CONSTRAINT_PERPENDICULAR_CURVES:
 256     aResult = createConstraintAngleBetweenCurves(GCS_SCALAR_WRAPPER(theValue),
 257                   aPoint1, anEntity1, GCS_EDGE_WRAPPER(theEntity2));
 258     break;
 259   case CONSTRAINT_EQUAL_LINES:
 260   case CONSTRAINT_EQUAL_ELLIPSES:
 261     anIntermediate = GCS_SCALAR_WRAPPER(theValue); // parameter is used to store length of lines
 262   case CONSTRAINT_EQUAL_LINE_ARC:
 263   case CONSTRAINT_EQUAL_RADIUS:
 264     aResult = createConstraintEqual(theType,
 265                                     anEntity1,
 266                                     GCS_EDGE_WRAPPER(theEntity2),
 267                                     anIntermediate);
 268     break;
 269   default:
 270     break;
 271   }
 272
 273   return aResult;
 274 }
 275
 276 std::shared_ptr<GeomAPI_Pnt2d> PlaneGCSSolver_Tools::point(EntityWrapperPtr theEntity)
 277 {
 278   if (theEntity->type() != ENTITY_POINT)
 279     return std::shared_ptr<GeomAPI_Pnt2d>();
 280
 281   std::shared_ptr<PlaneGCSSolver_PointWrapper> aPointWrapper =
 282       std::dynamic_pointer_cast<PlaneGCSSolver_PointWrapper>(theEntity);
 283   const GCSPointPtr& aPoint = aPointWrapper->point();
 284   return std::shared_ptr<GeomAPI_Pnt2d>(new GeomAPI_Pnt2d(*aPoint->x, *aPoint->y));
 285 }
 286
 287 std::shared_ptr<GeomAPI_Lin2d> PlaneGCSSolver_Tools::line(EntityWrapperPtr theEntity)
 288 {
 289   if (theEntity->type() != ENTITY_LINE)
 290     return std::shared_ptr<GeomAPI_Lin2d>();
 291
 292   std::shared_ptr<PlaneGCSSolver_EdgeWrapper> anEntity =
 293       std::dynamic_pointer_cast<PlaneGCSSolver_EdgeWrapper>(theEntity);
 294   std::shared_ptr<GCS::Line> aLine = std::dynamic_pointer_cast<GCS::Line>(anEntity->entity());
 295   return std::shared_ptr<GeomAPI_Lin2d>(
 296       new GeomAPI_Lin2d(*(aLine->p1.x), *(aLine->p1.y), *(aLine->p2.x), *(aLine->p2.y)));
 297 }
 298
 299 std::shared_ptr<GeomAPI_Lin2d> PlaneGCSSolver_Tools::line(FeaturePtr theFeature)
 300 {
 301   if (theFeature->getKind() != SketchPlugin_Line::ID())
 302     return std::shared_ptr<GeomAPI_Lin2d>();
 303
 304   AttributePoint2DPtr aStart = std::dynamic_pointer_cast<GeomDataAPI_Point2D>(
 305       theFeature->attribute(SketchPlugin_Line::START_ID()));
 306   AttributePoint2DPtr aEnd = std::dynamic_pointer_cast<GeomDataAPI_Point2D>(
 307       theFeature->attribute(SketchPlugin_Line::END_ID()));
 308
 309   return std::shared_ptr<GeomAPI_Lin2d>(new GeomAPI_Lin2d(aStart->pnt(), aEnd->pnt()));
 310 }
 311
 312 std::shared_ptr<GeomAPI_Circ2d> PlaneGCSSolver_Tools::circle(EntityWrapperPtr theEntity)
 313 {
 314   if (theEntity->type() != ENTITY_CIRCLE && theEntity->type() != ENTITY_ARC)
 315     return std::shared_ptr<GeomAPI_Circ2d>();
 316
 317   std::shared_ptr<PlaneGCSSolver_EdgeWrapper> anEntity =
 318     std::dynamic_pointer_cast<PlaneGCSSolver_EdgeWrapper>(theEntity);
 319   std::shared_ptr<GCS::Circle> aCirc = std::dynamic_pointer_cast<GCS::Circle>(anEntity->entity());
 320   return std::shared_ptr<GeomAPI_Circ2d>(
 321     new GeomAPI_Circ2d(*(aCirc->center.x), *(aCirc->center.y), *(aCirc->rad)));
 322 }
 323
 324 std::shared_ptr<GeomAPI_Ellipse2d> PlaneGCSSolver_Tools::ellipse(EntityWrapperPtr theEntity)
 325 {
 326   if (theEntity->type() != ENTITY_ELLIPSE && theEntity->type() != ENTITY_ELLIPTIC_ARC)
 327     return std::shared_ptr<GeomAPI_Ellipse2d>();
 328
 329   std::shared_ptr<PlaneGCSSolver_EdgeWrapper> anEntity =
 330     std::dynamic_pointer_cast<PlaneGCSSolver_EdgeWrapper>(theEntity);
 331   std::shared_ptr<GCS::Ellipse> anEllipse =
 332       std::dynamic_pointer_cast<GCS::Ellipse>(anEntity->entity());
 333
 334   std::shared_ptr<GeomAPI_Pnt2d> aCenter(
 335       new GeomAPI_Pnt2d(*(anEllipse->center.x), *(anEllipse->center.y)));
 336   std::shared_ptr<GeomAPI_Dir2d> anAxis(new GeomAPI_Dir2d(
 337       *(anEllipse->focus1.x) - *(anEllipse->center.x),
 338       *(anEllipse->focus1.y) - *(anEllipse->center.y)));
 339
 340   return std::shared_ptr<GeomAPI_Ellipse2d>(
 341       new GeomAPI_Ellipse2d(aCenter, anAxis, anEllipse->getRadMaj(), *anEllipse->radmin));
 342 }
 343
 344 void PlaneGCSSolver_Tools::recalculateArcParameters(EntityWrapperPtr theArc)
 345 {
 346   std::shared_ptr<PlaneGCSSolver_EdgeWrapper> anEdge =
 347       std::dynamic_pointer_cast<PlaneGCSSolver_EdgeWrapper>(theArc);
 348   if (!anEdge)
 349     return;
 350
 351   if (anEdge->type() == ENTITY_ARC) {
 352     std::shared_ptr<GCS::Arc> anArc = std::dynamic_pointer_cast<GCS::Arc>(anEdge->entity());
 353
 354     GCS::Point aCenter = anArc->center;
 355     GCS::Point aStartPnt = anArc->start;
 356     GCS::Point aEndPnt = anArc->end;
 357
 358     *anArc->rad = distance(aCenter, aStartPnt);
 359
 360     static GeomDir2dPtr OX(new GeomAPI_Dir2d(1.0, 0.0));
 361
 362     GeomDir2dPtr aDir(new GeomAPI_Dir2d(*aStartPnt.x - *aCenter.x, *aStartPnt.y - *aCenter.y));
 363     *anArc->startAngle = OX->angle(aDir);
 364
 365     aDir.reset(new GeomAPI_Dir2d(*aEndPnt.x - *aCenter.x, *aEndPnt.y - *aCenter.y));
 366     *anArc->endAngle = OX->angle(aDir);
 367   }
 368   else if (anEdge->type() == ENTITY_ELLIPTIC_ARC) {
 369     std::shared_ptr<GCS::ArcOfEllipse> aEllArc =
 370         std::dynamic_pointer_cast<GCS::ArcOfEllipse>(anEdge->entity());
 371
 372     GeomPnt2dPtr aCenter(new GeomAPI_Pnt2d(*aEllArc->center.x, *aEllArc->center.y));
 373     GeomPnt2dPtr aStartPnt(new GeomAPI_Pnt2d(*aEllArc->start.x, *aEllArc->start.y));
 374     GeomPnt2dPtr aEndPnt(new GeomAPI_Pnt2d(*aEllArc->end.x, *aEllArc->end.y));
 375
 376     GeomDir2dPtr anAxis(new GeomAPI_Dir2d(*aEllArc->focus1.x - aCenter->x(),
 377                                           *aEllArc->focus1.y - aCenter->y()));
 378     GeomAPI_Ellipse2d anEllipse(aCenter, anAxis, aEllArc->getRadMaj(), *aEllArc->radmin);
 379     anEllipse.parameter(aStartPnt, 1.e-4, *aEllArc->startAngle);
 380     anEllipse.parameter(aEndPnt, 1.e-4, *aEllArc->endAngle);
 381   }
 382 }
 383
 384
 385
 386 GCS::SET_pD PlaneGCSSolver_Tools::parameters(const EntityWrapperPtr& theEntity)
 387 {
 388   switch (theEntity->type()) {
 389   case ENTITY_SCALAR:
 390   case ENTITY_ANGLE:
 391     return scalarParameters(GCS_SCALAR_WRAPPER(theEntity));
 392   case ENTITY_POINT:
 393     return pointParameters(GCS_POINT_WRAPPER(theEntity));
 394   case ENTITY_LINE:
 395     return lineParameters(GCS_EDGE_WRAPPER(theEntity));
 396   case ENTITY_CIRCLE:
 397     return circleParameters(GCS_EDGE_WRAPPER(theEntity));
 398   case ENTITY_ARC:
 399     return arcParameters(GCS_EDGE_WRAPPER(theEntity));
 400   case ENTITY_ELLIPSE:
 401     return ellipseParameters(GCS_EDGE_WRAPPER(theEntity));
 402   case ENTITY_ELLIPTIC_ARC:
 403     return ellipticArcParameters(GCS_EDGE_WRAPPER(theEntity));
 404   default: break;
 405   }
 406   return GCS::SET_pD();
 407 }
 408
 409
 410
 411
 412
 413
 414 // ================   Auxiliary functions   ==========================
 415 ConstraintWrapperPtr createConstraintCoincidence(
 416     std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint1,
 417     std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint2)
 418 {
 419   GCSPointPtr aPoint1 = thePoint1->point();
 420   GCSPointPtr aPoint2 = thePoint2->point();
 421
 422   // Create equality constraint for corresponding attributes of the points
 423   std::list<GCSConstraintPtr> aConstrList;
 424   aConstrList.push_back(
 425       GCSConstraintPtr(new GCS::ConstraintEqual(aPoint1->x, aPoint2->x)));
 426   aConstrList.push_back(
 427       GCSConstraintPtr(new GCS::ConstraintEqual(aPoint1->y, aPoint2->y)));
 428
 429   return ConstraintWrapperPtr(new PlaneGCSSolver_ConstraintWrapper(
 430       aConstrList, CONSTRAINT_PT_PT_COINCIDENT));
 431 }
 432
 433 ConstraintWrapperPtr createConstraintPointOnEntity(
 434     const SketchSolver_ConstraintType& theType,
 435     std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint,
 436     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity)
 437 {
 438   GCSConstraintPtr aNewConstr;
 439
 440   switch (theEntity->type()) {
 441   case ENTITY_LINE: {
 442     std::shared_ptr<GCS::Line> aLine = std::dynamic_pointer_cast<GCS::Line>(theEntity->entity());
 443     aNewConstr = GCSConstraintPtr(new GCS::ConstraintPointOnLine(*(thePoint->point()), *aLine));
 444     break;
 445     }
 446   case ENTITY_ARC:
 447   case ENTITY_CIRCLE: {
 448     std::shared_ptr<GCS::Circle> aCirc =
 449       std::dynamic_pointer_cast<GCS::Circle>(theEntity->entity());
 450     aNewConstr = GCSConstraintPtr(
 451         new GCS::ConstraintP2PDistance(*(thePoint->point()), aCirc->center, aCirc->rad));
 452     break;
 453     }
 454   case ENTITY_ELLIPSE:
 455   case ENTITY_ELLIPTIC_ARC: {
 456     std::shared_ptr<GCS::Ellipse> anEllipse =
 457         std::dynamic_pointer_cast<GCS::Ellipse>(theEntity->entity());
 458     aNewConstr = GCSConstraintPtr(
 459         new GCS::ConstraintPointOnEllipse(*(thePoint->point()), *anEllipse));
 460     break;
 461     }
 462   default:
 463     return ConstraintWrapperPtr();
 464   }
 465
 466   return ConstraintWrapperPtr(new PlaneGCSSolver_ConstraintWrapper(aNewConstr, theType));
 467 }
 468
 469 ConstraintWrapperPtr createConstraintPointsCollinear(
 470     std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint1,
 471     std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint2,
 472     std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint3)
 473 {
 474   GCSConstraintPtr aNewConstr(new GCS::ConstraintPointOnLine(
 475       *(thePoint1->point()), *(thePoint2->point()), *(thePoint3->point())));
 476   return ConstraintWrapperPtr(
 477       new PlaneGCSSolver_ConstraintWrapper(aNewConstr, CONSTRAINT_PT_ON_CURVE));
 478 }
 479
 480 template <typename ARCTYPE>
 481 void createConstraintMiddlePointOnArc(ARCTYPE theArc,
 482                                       GCSPointPtr thePoint,
 483                                       std::shared_ptr<PlaneGCSSolver_PointWrapper> theAuxParameters,
 484                                       std::list<GCSConstraintPtr>& theConstraints)
 485 {
 486   double* u = theAuxParameters->point()->x;
 487   double* diff = theAuxParameters->point()->y;
 488   *u = (*theArc->startAngle + *theArc->endAngle) * 0.5;
 489   *diff = (*theArc->endAngle - *theArc->startAngle) * 0.5;
 490
 491   theConstraints.push_back(GCSConstraintPtr(
 492       new GCS::ConstraintCurveValue(*thePoint, thePoint->x, *theArc, u)));
 493   theConstraints.push_back(GCSConstraintPtr(
 494       new GCS::ConstraintCurveValue(*thePoint, thePoint->y, *theArc, u)));
 495   theConstraints.push_back(GCSConstraintPtr(
 496       new GCS::ConstraintDifference(theArc->startAngle, u, diff)));
 497   theConstraints.push_back(GCSConstraintPtr(
 498       new GCS::ConstraintDifference(u, theArc->endAngle, diff)));
 499 }
 500
 501 ConstraintWrapperPtr createConstraintMiddlePoint(
 502     std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint,
 503     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity,
 504     std::shared_ptr<PlaneGCSSolver_PointWrapper> theAuxParameters)
 505 {
 506   std::list<GCSConstraintPtr> aConstrList;
 507
 508   GCSPointPtr aPoint = thePoint->point();
 509   std::shared_ptr<GCS::Line> aLine = std::dynamic_pointer_cast<GCS::Line>(theEntity->entity());
 510   if (aLine) {
 511     aConstrList.push_back(GCSConstraintPtr(new GCS::ConstraintPointOnLine(*aPoint, *aLine)));
 512     aConstrList.push_back(
 513         GCSConstraintPtr(new GCS::ConstraintPointOnPerpBisector(*aPoint, aLine->p1, aLine->p2)));
 514   }
 515   else {
 516     std::shared_ptr<GCS::Arc> anArc = std::dynamic_pointer_cast<GCS::Arc>(theEntity->entity());
 517     if (anArc)
 518       createConstraintMiddlePointOnArc(anArc, aPoint, theAuxParameters, aConstrList);
 519     else {
 520       std::shared_ptr<GCS::ArcOfEllipse> aEllArc =
 521           std::dynamic_pointer_cast<GCS::ArcOfEllipse>(theEntity->entity());
 522       if (aEllArc)
 523         createConstraintMiddlePointOnArc(aEllArc, aPoint, theAuxParameters, aConstrList);
 524     }
 525   }
 526
 527   return aConstrList.empty() ? ConstraintWrapperPtr() : ConstraintWrapperPtr(
 528       new PlaneGCSSolver_ConstraintWrapper(aConstrList, CONSTRAINT_MIDDLE_POINT));
 529 }
 530
 531
 532 ConstraintWrapperPtr createConstraintDistancePointPoint(
 533     std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theValue,
 534     std::shared_ptr<PlaneGCSSolver_PointWrapper>  thePoint1,
 535     std::shared_ptr<PlaneGCSSolver_PointWrapper>  thePoint2)
 536 {
 537   GCSConstraintPtr aNewConstr(new GCS::ConstraintP2PDistance(
 538       *(thePoint1->point()), *(thePoint2->point()), theValue->scalar()));
 539   std::shared_ptr<PlaneGCSSolver_ConstraintWrapper> aResult(
 540       new PlaneGCSSolver_ConstraintWrapper(aNewConstr, CONSTRAINT_PT_PT_DISTANCE));
 541   aResult->setValueParameter(theValue);
 542   return aResult;
 543 }
 544
 545 ConstraintWrapperPtr createConstraintDistancePointLine(
 546     std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theValue,
 547     std::shared_ptr<PlaneGCSSolver_PointWrapper>  thePoint,
 548     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity)
 549 {
 550   std::shared_ptr<GCS::Line> aLine = std::dynamic_pointer_cast<GCS::Line>(theEntity->entity());
 551   GCSConstraintPtr aNewConstr(new GCS::ConstraintP2LDistance(
 552       *(thePoint->point()), *(aLine), theValue->scalar()));
 553   std::shared_ptr<PlaneGCSSolver_ConstraintWrapper> aResult(
 554       new PlaneGCSSolver_ConstraintWrapper(aNewConstr, CONSTRAINT_PT_LINE_DISTANCE));
 555   aResult->setValueParameter(theValue);
 556   return aResult;
 557 }
 558
 559 ConstraintWrapperPtr createConstraintHVDistance(
 560     const SketchSolver_ConstraintType& theType,
 561     std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theValue,
 562     std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint1,
 563     std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint2)
 564 {
 565   GCSPointPtr aPoint1 = thePoint1->point();
 566   GCSPointPtr aPoint2 = thePoint2->point();
 567
 568   double *aParam1, *aParam2;
 569   if (theType == CONSTRAINT_HORIZONTAL_DISTANCE) {
 570     aParam1 = aPoint1->x;
 571     aParam2 = aPoint2->x;
 572   } else if (theType == CONSTRAINT_VERTICAL_DISTANCE) {
 573     aParam1 = aPoint1->y;
 574     aParam2 = aPoint2->y;
 575   }
 576
 577   GCSConstraintPtr aNewConstr(new GCS::ConstraintDifference(aParam1, aParam2, theValue->scalar()));
 578
 579   std::shared_ptr<PlaneGCSSolver_ConstraintWrapper> aResult(
 580       new PlaneGCSSolver_ConstraintWrapper(aNewConstr, theType));
 581   aResult->setValueParameter(theValue);
 582   return aResult;
 583 }
 584
 585 ConstraintWrapperPtr createConstraintRadius(
 586     std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theValue,
 587     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity)
 588 {
 589   std::shared_ptr<GCS::Circle> aCircle =
 590     std::dynamic_pointer_cast<GCS::Circle>(theEntity->entity());
 591   GCSConstraintPtr aNewConstr(new GCS::ConstraintEqual(aCircle->rad, theValue->scalar()));
 592   std::shared_ptr<PlaneGCSSolver_ConstraintWrapper> aResult(
 593       new PlaneGCSSolver_ConstraintWrapper(aNewConstr, CONSTRAINT_RADIUS));
 594   aResult->setValueParameter(theValue);
 595   return aResult;
 596 }
 597
 598 ConstraintWrapperPtr createConstraintAngle(
 599     ConstraintPtr theConstraint,
 600     std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theValue,
 601     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity1,
 602     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity2)
 603 {
 604   std::shared_ptr<GCS::Line> aLine1 = std::dynamic_pointer_cast<GCS::Line>(theEntity1->entity());
 605   bool isLine1Rev = theConstraint->boolean(
 606       SketchPlugin_ConstraintAngle::ANGLE_REVERSED_FIRST_LINE_ID())->value();
 607   GCS::Point aLine1Pt1 = isLine1Rev ? aLine1->p2 : aLine1->p1;
 608   GCS::Point aLine1Pt2 = isLine1Rev ? aLine1->p1 : aLine1->p2;
 609
 610   std::shared_ptr<GCS::Line> aLine2 = std::dynamic_pointer_cast<GCS::Line>(theEntity2->entity());
 611   bool isLine2Rev = theConstraint->boolean(
 612       SketchPlugin_ConstraintAngle::ANGLE_REVERSED_SECOND_LINE_ID())->value();
 613   GCS::Point aLine2Pt1 = isLine2Rev ? aLine2->p2 : aLine2->p1;
 614   GCS::Point aLine2Pt2 = isLine2Rev ? aLine2->p1 : aLine2->p2;
 615
 616   GCSConstraintPtr aNewConstr(new GCS::ConstraintL2LAngle(
 617       aLine1Pt1, aLine1Pt2, aLine2Pt1, aLine2Pt2, theValue->scalar()));
 618
 619   std::shared_ptr<PlaneGCSSolver_ConstraintWrapper> aResult(
 620       new PlaneGCSSolver_ConstraintWrapper(aNewConstr, CONSTRAINT_ANGLE));
 621   aResult->setValueParameter(theValue);
 622   return aResult;
 623 }
 624
 625 ConstraintWrapperPtr createConstraintHorizVert(
 626     const SketchSolver_ConstraintType& theType,
 627     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity)
 628 {
 629   std::shared_ptr<GCS::Line> aLine = std::dynamic_pointer_cast<GCS::Line>(theEntity->entity());
 630   GCSConstraintPtr aNewConstr;
 631   if (theType == CONSTRAINT_HORIZONTAL)
 632     aNewConstr = GCSConstraintPtr(new GCS::ConstraintEqual(aLine->p1.y, aLine->p2.y));
 633   else
 634     aNewConstr = GCSConstraintPtr(new GCS::ConstraintEqual(aLine->p1.x, aLine->p2.x));
 635
 636   return ConstraintWrapperPtr(new PlaneGCSSolver_ConstraintWrapper(aNewConstr, theType));
 637 }
 638
 639 ConstraintWrapperPtr createConstraintParallel(
 640     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity1,
 641     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity2)
 642 {
 643   std::shared_ptr<GCS::Line> aLine1 = std::dynamic_pointer_cast<GCS::Line>(theEntity1->entity());
 644   std::shared_ptr<GCS::Line> aLine2 = std::dynamic_pointer_cast<GCS::Line>(theEntity2->entity());
 645   GCSConstraintPtr aNewConstr(new GCS::ConstraintParallel(*(aLine1), *(aLine2)));
 646
 647   return ConstraintWrapperPtr(
 648       new PlaneGCSSolver_ConstraintWrapper(aNewConstr, CONSTRAINT_PARALLEL));
 649 }
 650
 651 ConstraintWrapperPtr createConstraintPerpendicular(
 652     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity1,
 653     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity2)
 654 {
 655   std::shared_ptr<GCS::Line> aLine1 = std::dynamic_pointer_cast<GCS::Line>(theEntity1->entity());
 656   std::shared_ptr<GCS::Line> aLine2 = std::dynamic_pointer_cast<GCS::Line>(theEntity2->entity());
 657
 658   std::shared_ptr<GCS::Circle> aCirc1 =
 659       std::dynamic_pointer_cast<GCS::Circle>(theEntity1->entity());
 660   std::shared_ptr<GCS::Circle> aCirc2 =
 661       std::dynamic_pointer_cast<GCS::Circle>(theEntity2->entity());
 662
 663   GCSConstraintPtr aNewConstr;
 664   if (aLine1 && aLine2)
 665     aNewConstr.reset(new GCS::ConstraintPerpendicular(*(aLine1), *(aLine2)));
 666   else {
 667     if (aLine1 && aCirc2)
 668       aCirc1 = aCirc2;
 669     else if (aLine2 && aCirc1)
 670       aLine1 = aLine2;
 671
 672     aNewConstr.reset(new GCS::ConstraintPointOnLine(aCirc1->center, *aLine1));
 673   }
 674
 675   return ConstraintWrapperPtr(
 676       new PlaneGCSSolver_ConstraintWrapper(aNewConstr, CONSTRAINT_PERPENDICULAR));
 677 }
 678
 679 ConstraintWrapperPtr createConstraintAngleBetweenCurves(
 680     std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theValue,
 681     std::shared_ptr<PlaneGCSSolver_PointWrapper> thePoint,
 682     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity1,
 683     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity2)
 684 {
 685   GCSConstraintPtr aNewConstr(new GCS::ConstraintAngleViaPoint(
 686       *theEntity1->entity(), *theEntity2->entity(), *thePoint->point(), theValue->scalar()));
 687   return ConstraintWrapperPtr(
 688       new PlaneGCSSolver_ConstraintWrapper(aNewConstr, CONSTRAINT_PERPENDICULAR_CURVES));
 689 }
 690
 691 ConstraintWrapperPtr createConstraintEqual(
 692     const SketchSolver_ConstraintType& theType,
 693     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity1,
 694     std::shared_ptr<PlaneGCSSolver_EdgeWrapper> theEntity2,
 695     std::shared_ptr<PlaneGCSSolver_ScalarWrapper> theIntermed)
 696 {
 697   if (theType == CONSTRAINT_EQUAL_LINE_ARC)
 698     return ConstraintWrapperPtr(); // line-arc equivalence is not supported yet
 699
 700   std::list<GCSConstraintPtr> aConstrList;
 701   if (theType == CONSTRAINT_EQUAL_LINES) {
 702     std::shared_ptr<GCS::Line> aLine1 = std::dynamic_pointer_cast<GCS::Line>(theEntity1->entity());
 703     std::shared_ptr<GCS::Line> aLine2 = std::dynamic_pointer_cast<GCS::Line>(theEntity2->entity());
 704
 705     aConstrList.push_back(GCSConstraintPtr(
 706         new GCS::ConstraintP2PDistance(aLine1->p1, aLine1->p2, theIntermed->scalar())));
 707     aConstrList.push_back(GCSConstraintPtr(
 708         new GCS::ConstraintP2PDistance(aLine2->p1, aLine2->p2, theIntermed->scalar())));
 709     // update value of intermediate parameter
 710     theIntermed->setValue(distance(aLine1->p1, aLine1->p2));
 711   }
 712   else if (theType == CONSTRAINT_EQUAL_ELLIPSES) {
 713     std::shared_ptr<GCS::Ellipse> anEllipse1 =
 714         std::dynamic_pointer_cast<GCS::Ellipse>(theEntity1->entity());
 715     std::shared_ptr<GCS::Ellipse> anEllipse2 =
 716         std::dynamic_pointer_cast<GCS::Ellipse>(theEntity2->entity());
 717
 718     aConstrList.push_back(GCSConstraintPtr(
 719         new GCS::ConstraintEqual(anEllipse1->radmin, anEllipse2->radmin)));
 720     aConstrList.push_back(GCSConstraintPtr(new GCS::ConstraintP2PDistance(
 721         anEllipse1->center, anEllipse1->focus1, theIntermed->scalar())));
 722     aConstrList.push_back(GCSConstraintPtr(new GCS::ConstraintP2PDistance(
 723         anEllipse2->center, anEllipse2->focus1, theIntermed->scalar())));
 724     // update value of intermediate parameter
 725     theIntermed->setValue(distance(anEllipse1->center, anEllipse1->focus1));
 726   }
 727   else {
 728     std::shared_ptr<GCS::Circle> aCirc1 =
 729         std::dynamic_pointer_cast<GCS::Circle>(theEntity1->entity());
 730     std::shared_ptr<GCS::Circle> aCirc2 =
 731         std::dynamic_pointer_cast<GCS::Circle>(theEntity2->entity());
 732     aConstrList.push_back(GCSConstraintPtr(new GCS::ConstraintEqual(aCirc1->rad, aCirc2->rad)));
 733   }
 734
 735   std::shared_ptr<PlaneGCSSolver_ConstraintWrapper> aResult(
 736       new PlaneGCSSolver_ConstraintWrapper(aConstrList, theType));
 737   if (theIntermed)
 738     aResult->setValueParameter(theIntermed);
 739   return aResult;
 740 }
 741
 742 GCS::SET_pD scalarParameters(const ScalarWrapperPtr& theScalar)
 743 {
 744   GCS::SET_pD aParams;
 745   aParams.insert(theScalar->scalar());
 746   return aParams;
 747 }
 748
 749 GCS::SET_pD pointParameters(const PointWrapperPtr& thePoint)
 750 {
 751   GCS::SET_pD aParams;
 752   aParams.insert(thePoint->point()->x);
 753   aParams.insert(thePoint->point()->y);
 754   return aParams;
 755 }
 756
 757 GCS::SET_pD lineParameters(const EdgeWrapperPtr& theLine)
 758 {
 759   GCS::SET_pD aParams;
 760   std::shared_ptr<GCS::Line> aLine = std::dynamic_pointer_cast<GCS::Line>(theLine->entity());
 761   aParams.insert(aLine->p1.x);
 762   aParams.insert(aLine->p1.y);
 763   aParams.insert(aLine->p2.x);
 764   aParams.insert(aLine->p2.y);
 765   return aParams;
 766 }
 767
 768 GCS::SET_pD circleParameters(const EdgeWrapperPtr& theCircle)
 769 {
 770   GCS::SET_pD aParams;
 771   std::shared_ptr<GCS::Circle> aCirc = std::dynamic_pointer_cast<GCS::Circle>(theCircle->entity());
 772   aParams.insert(aCirc->center.x);
 773   aParams.insert(aCirc->center.y);
 774   aParams.insert(aCirc->rad);
 775   return aParams;
 776 }
 777
 778 GCS::SET_pD arcParameters(const EdgeWrapperPtr& theArc)
 779 {
 780   GCS::SET_pD aParams = circleParameters(theArc);
 781   std::shared_ptr<GCS::Arc> anArc = std::dynamic_pointer_cast<GCS::Arc>(theArc->entity());
 782   aParams.insert(anArc->start.x);
 783   aParams.insert(anArc->start.y);
 784   aParams.insert(anArc->end.x);
 785   aParams.insert(anArc->end.y);
 786   aParams.insert(anArc->startAngle);
 787   aParams.insert(anArc->endAngle);
 788   return aParams;
 789 }
 790
 791 GCS::SET_pD ellipseParameters(const EdgeWrapperPtr& theEllipse)
 792 {
 793   GCS::SET_pD aParams;
 794   std::shared_ptr<GCS::Ellipse> anEllipse =
 795       std::dynamic_pointer_cast<GCS::Ellipse>(theEllipse->entity());
 796   aParams.insert(anEllipse->center.x);
 797   aParams.insert(anEllipse->center.y);
 798   aParams.insert(anEllipse->focus1.x);
 799   aParams.insert(anEllipse->focus1.y);
 800   aParams.insert(anEllipse->radmin);
 801   return aParams;
 802 }
 803
 804 GCS::SET_pD ellipticArcParameters(const EdgeWrapperPtr& theEllipticArc)
 805 {
 806   GCS::SET_pD aParams = ellipseParameters(theEllipticArc);
 807   std::shared_ptr<GCS::ArcOfEllipse> anArc =
 808       std::dynamic_pointer_cast<GCS::ArcOfEllipse>(theEllipticArc->entity());
 809   aParams.insert(anArc->start.x);
 810   aParams.insert(anArc->start.y);
 811   aParams.insert(anArc->end.x);
 812   aParams.insert(anArc->end.y);
 813   aParams.insert(anArc->startAngle);
 814   aParams.insert(anArc->endAngle);
 815   return aParams;
 816 }
 817
 818 double distance(const GCS::Point& thePnt1, const GCS::Point& thePnt2)
 819 {
 820   double x = *thePnt1.x - *thePnt2.x;
 821   double y = *thePnt1.y - *thePnt2.y;
 822   return sqrt(x*x + y*y);
 823 }