void Tetra3DLagrangeP1::mapped_coordinates(const CoordsT& coord, const NodeMatrixT& nodes, MappedCoordsT& mappedCoord) { RealMatrix3 M; M.col(0) = nodes.row(1) - nodes.row(0); M.col(1) = nodes.row(2) - nodes.row(0); M.col(2) = nodes.row(3) - nodes.row(0); mappedCoord = M.inverse() * (coord - nodes.row(0).transpose()); }
void Triag2DLagrangeP2::mapped_coordinates(const CoordsT& coord, const NodeMatrixT& nodes, MappedCoordsT& map_coord) { throw Common::NotImplemented( FromHere(), "" ); cf_assert(coord.size() == 2); cf_assert(map_coord.size() == 2); cf_assert(nodes.size() == 6); const Real invDet = 1. / jacobian_determinant(nodes); map_coord[KSI] = invDet * ((nodes(2, YY) - nodes(0, YY))*coord[XX] + (nodes(0, XX) - nodes(2, XX))*coord[YY] - nodes(0, XX)*nodes(2, YY) + nodes(2, XX)*nodes(0, YY)); map_coord[ETA] = invDet * ((nodes(0, YY) - nodes(1, YY))*coord[XX] + (nodes(1, XX) - nodes(0, XX))*coord[YY] + nodes(0, XX)*nodes(1, YY) - nodes(1, XX)*nodes(0, YY)); }
Real Line2DLagrangeP2::area(const NodeMatrixT& nodes) { throw Common::NotImplemented( FromHere(), "" ); return (nodes.row(1)-nodes.row(0)).norm(); }
Real Line3DLagrangeP1::length(const NodeMatrixT& nodes) { return (nodes.row(1)-nodes.row(0)).norm(); }