Implemented more efficient algorithm for the spheres benchmark

      if( ! checkDevice< Device >( parameters ) )

      if( ! checkDevice< Device >( parameters ) )

         return;

         return;

      const Index entitiesCount = mesh_src.template getEntitiesCount< 0 >();

      const Index verticesCount = mesh_src.template getEntitiesCount< 0 >();

      const Index facesCount = mesh_src.template getEntitiesCount< Mesh::getMeshDimension() - 1 >();

      const DeviceMesh mesh = mesh_src;

      const DeviceMesh mesh = mesh_src;

      Pointers::DevicePointer< const DeviceMesh > meshPointer( mesh );

      Pointers::DevicePointer< const DeviceMesh > meshPointer( mesh );

      Containers::Array< Real, Device, Index > spheres;

      Containers::Vector< Real, Device, Index > spheres;

      spheres.setSize( entitiesCount );

      spheres.setSize( verticesCount );

//      auto hasSubvertex = [] __cuda_callable__

      auto getLocalFaceIndex = [] __cuda_callable__

//         ( const typename DeviceMesh::Face & face,

//           const Index i )

//      {

////         constexpr auto verticesCount = Mesh::Face::template getSubentitiesCount< 0 >();

//         constexpr auto verticesCount = Mesh::Face::template SubentityTraits< 0 >::count;

//         for( LocalIndex v = 0; v < verticesCount; v++ ) {

//            const auto vid = face.template getSubentityIndex< 0 >( v );

//            if( vid == i )

//               return true;

//         }

//         return false;

//      };

      auto getLocalVertexIndex = [] __cuda_callable__

         ( const typename DeviceMesh::Cell & cell,

         ( const typename DeviceMesh::Cell & cell,

           const Index i )

           const Index i )

      {

      {

//         constexpr auto verticesCount = Mesh::Cell::template getSubentitiesCount< 0 >();

//         constexpr auto facesCount = Mesh::Cell::template getSubentitiesCount< 0 >();

         constexpr auto verticesCount = Mesh::Cell::template SubentityTraits< 0 >::count;

         constexpr auto facesCount = Mesh::Cell::template SubentityTraits< Mesh::getMeshDimension() - 1 >::count;

         for( LocalIndex v = 0; v < verticesCount; v++ ) {

         for( LocalIndex f = 0; f < facesCount; f++ ) {

            const auto vid = cell.template getSubentityIndex< 0 >( v );

            const auto fid = cell.template getSubentityIndex< Mesh::getMeshDimension() - 1 >( f );

            if( vid == i ) {

            if( fid == i ) {

               return v;

               return f;

            }

            }

         }

         }

         TNL_ASSERT( false,

         TNL_ASSERT( false,

                     std::cerr << "local vertex index not found -- this is a BUG!" << std::endl; );

                     std::cerr << "local face index not found -- this is a BUG!" << std::endl; );

         return (LocalIndex) 0;

         return (LocalIndex) 0;

      };

      };

      auto kernel_spheres = [getLocalVertexIndex] __cuda_callable__

      auto kernel_spheres = [getLocalFaceIndex] __cuda_callable__

         ( Index i,

         ( Index fid,

           const DeviceMesh* mesh,

           const DeviceMesh* mesh,

           Real* array )

           Real* array )

      {

      {

         Real s = 0.0;

        const auto& face = mesh->template getEntity< Mesh::getMeshDimension() - 1 >( fid );

         const auto& vertex = mesh->template getEntity< 0 >( i );

        const auto face_measure = getEntityMeasure( *mesh, face );

         const auto cellsCount = vertex.template getSuperentitiesCount< Mesh::getMeshDimension() >();

         const auto cellsCount = face.template getSuperentitiesCount< Mesh::getMeshDimension() >();

         for( LocalIndex c = 0; c < cellsCount; c++ ) {

         for( LocalIndex c = 0; c < cellsCount; c++ ) {

            const auto cid = vertex.template getSuperentityIndex< Mesh::getMeshDimension() >( c );

            const auto cid = face.template getSuperentityIndex< Mesh::getMeshDimension() >( c );

            const auto& cell = mesh->template getEntity< Mesh::getMeshDimension() >( cid );

            const auto& cell = mesh->template getEntity< Mesh::getMeshDimension() >( cid );

            // general version, but very slow

////            constexpr auto facesCount = Mesh::Cell::template getSubentitiesCount< Mesh::getMeshDimension() - 1 >();

//            constexpr auto facesCount = Mesh::Cell::template SubentityTraits< Mesh::getMeshDimension() - 1 >::count;

//            for( LocalIndex f = 0; f < facesCount; f++ ) {

//               const auto fid = cell.template getSubentityIndex< Mesh::getMeshDimension() - 1 >( f );

//               const auto& face = mesh->template getEntity< Mesh::getMeshDimension() - 1 >( fid );

//               if( ! hasSubvertex( face, i ) )

//                  s += getEntityMeasure( *mesh, face );

//            }

            // specialized version for simplices (assuming that opposite vertex and face have the same local index)

            // specialized version for simplices (assuming that opposite vertex and face have the same local index)

            const auto f = getLocalVertexIndex( cell, i );

            const auto v = getLocalFaceIndex( cell, fid );

            const auto fid = cell.template getSubentityIndex< Mesh::getMeshDimension() - 1 >( f );

            const auto vid = cell.template getSubentityIndex< 0 >( v );

            const auto& face = mesh->template getEntity< Mesh::getMeshDimension() - 1 >( fid );

            Algorithms::AtomicOperations< Device >::add( array[ vid ], face_measure );

            s += getEntityMeasure( *mesh, face );

         }

         }

         array[ i ] = s;

      };

      };

      auto reset = [&]() {

      auto reset = [&]() {

      auto benchmark_func = [&] () {

      auto benchmark_func = [&] () {

         Algorithms::ParallelFor< Device >::exec(

         Algorithms::ParallelFor< Device >::exec(

               (Index) 0, entitiesCount,

               (Index) 0, facesCount,

               kernel_spheres,

               kernel_spheres,

               &meshPointer.template getData< Device >(),

               &meshPointer.template getData< Device >(),

               spheres.getData() );

               spheres.getData() );