UserDataOperators.cpp

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/** \file UserDataOperators.cpp
 
\brief Generic user data operators for evaluate fields, and other common
purposes.
 
*/
 
namespace MoFEM {
 
OpSetInvJacToScalarBasesBasic::OpSetInvJacToScalarBasesBasic(
    FieldSpace space, boost::shared_ptr<MatrixDouble> inv_jac_ptr)
    : ForcesAndSourcesCore::UserDataOperator(space), invJacPtr(inv_jac_ptr) {
  if (!inv_jac_ptr)
    CHK_THROW_MESSAGE(MOFEM_DATA_INCONSISTENCY, "invJacPtr not allocated");
  if (space == L2) {
    doVertices = false;
  }
}
 
MoFEMErrorCode
OpSetInvJacSpaceForFaceImpl<2, 1>::doWork(int side, EntityType type,
                                          EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
 
  if (getFEDim() != 2)
    SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY,
            "This operator can be used only with element which faces");
 
  auto apply_transform = [&](MatrixDouble &diff_n) {
    return applyTransform<2, 2, 2, 2>(diff_n);
  };
 
  if (!(type == MBVERTEX && sPace == L2)) {
 
    for (int b = AINSWORTH_LEGENDRE_BASE; b != USER_BASE; b++) {
      FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
      CHKERR apply_transform(data.getDiffN(base));
    }
 
    switch (type) {
    case MBVERTEX:
      for (auto &m : data.getBBDiffNMap())
        CHKERR apply_transform(*(m.second));
      break;
    default:
      for (auto &ptr : data.getBBDiffNByOrderArray())
        if (ptr)
          CHKERR apply_transform(*ptr);
    }
  }
 
  MoFEMFunctionReturn(0);
}
 
MoFEMErrorCode
OpSetInvJacSpaceForFaceImpl<3, 1>::doWork(int side, EntityType type,
                                          EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
 
  if (getFEDim() != 2)
    SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY,
            "This operator can be used only with element which face");
 
  auto apply_transform = [&](MatrixDouble &diff_n) {
    return applyTransform<2, 3, 3, 3>(diff_n);
  };
 
  if (!(type == MBVERTEX && sPace == L2)) {
    for (int b = AINSWORTH_LEGENDRE_BASE; b != USER_BASE; b++) {
      FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
      CHKERR apply_transform(data.getDiffN(base));
    }
 
    switch (type) {
    case MBVERTEX:
      for (auto &m : data.getBBDiffNMap())
        CHKERR apply_transform(*(m.second));
      break;
    default:
      for (auto &ptr : data.getBBDiffNByOrderArray())
        if (ptr)
          CHKERR apply_transform(*ptr);
    }
  }
 
  MoFEMFunctionReturn(0);
}
 
MoFEMErrorCode
OpSetInvJacSpaceForFaceImpl<2, 2>::doWork(int side, EntityType type,
                                          EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
 
  if (getFEDim() != 2)
    SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY,
            "This operator can be used only with element which faces");
 
  auto apply_transform = [&](MatrixDouble &diff2_n) {
    MoFEMFunctionBegin;
    size_t nb_functions = diff2_n.size2() / 4;
    if (nb_functions) {
      size_t nb_gauss_pts = diff2_n.size1();
 
#ifndef NDEBUG
      if (nb_gauss_pts != getGaussPts().size2())
        SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY,
                "Wrong number of Gauss Pts");
#endif
 
      diffNinvJac.resize(diff2_n.size1(), diff2_n.size2(), false);
 
      FTensor::Index<'i', 2> i;
      FTensor::Index<'j', 2> j;
      FTensor::Index<'k', 2> k;
      FTensor::Index<'l', 2> l;
      auto t_diff2_n = getFTensor2FromPtr<2, 2>(&*diffNinvJac.data().begin());
      auto t_diff2_n_ref = getFTensor2FromPtr<2, 2>(&*diff2_n.data().begin());
      auto t_inv_jac = getFTensor2FromMat<2, 2>(*invJacPtr);
      for (size_t gg = 0; gg != nb_gauss_pts; ++gg, ++t_inv_jac) {
        for (size_t dd = 0; dd != nb_functions; ++dd) {
          t_diff2_n(i, j) =
              t_inv_jac(k, i) * (t_inv_jac(l, j) * t_diff2_n_ref(k, l));
          ++t_diff2_n;
          ++t_diff2_n_ref;
        }
      }
 
      diff2_n.swap(diffNinvJac);
    }
    MoFEMFunctionReturn(0);
  };
 
  if (!(type == MBVERTEX && sPace == L2)) {
 
    for (int b = AINSWORTH_LEGENDRE_BASE; b != USER_BASE; b++) {
      FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
      CHKERR apply_transform(
          data.getN(base, BaseDerivatives::SecondDerivative));
    }
 
    auto error = [&](auto &m) {
      MoFEMFunctionBegin;
      if (m.size2())
        SETERRQ(PETSC_COMM_SELF, MOFEM_NOT_IMPLEMENTED,
                "Operator do not work for Bernstein-Bezier. This "
                "functionality is "
                "not implemented.");
      MoFEMFunctionReturn(0);
    };
 
    switch (type) {
    case MBVERTEX:
      for (auto &m : data.getBBDiffNMap()) {
        CHKERR error(*(m.second));
        CHKERR apply_transform(*(m.second));
      }
      break;
    default:
      for (auto &ptr : data.getBBDiffNByOrderArray())
        if (ptr) {
          CHKERR error(*ptr);
          CHKERR apply_transform(*ptr);
        }
    }
  }
 
  MoFEMFunctionReturn(0);
}
 
MoFEMErrorCode
OpSetInvJacHcurlFaceImpl<2>::doWork(int side, EntityType type,
                                    EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
 
  if (type != MBEDGE && type != MBTRI && type != MBQUAD)
    MoFEMFunctionReturnHot(0);
 
  if (getFEDim() != 2)
    SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY,
            "This operator can be used only with element which is triangle");
 
  FTensor::Index<'i', 3> i;
  FTensor::Index<'j', 2> j;
  FTensor::Index<'k', 2> k;
 
  for (int b = AINSWORTH_LEGENDRE_BASE; b != USER_BASE; b++) {
 
    FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
 
    const unsigned int nb_base_functions = data.getDiffN(base).size2() / 6;
    if (nb_base_functions) {
      const unsigned int nb_gauss_pts = data.getDiffN(base).size1();
 
      diffHcurlInvJac.resize(nb_gauss_pts, data.getDiffN(base).size2(), false);
 
      auto t_diff_n = data.getFTensor2DiffN<3, 2>(base);
      double *t_inv_diff_n_ptr = &*diffHcurlInvJac.data().begin();
      FTensor::Tensor2<FTensor::PackPtr<double *, 6>, 3, 2> t_inv_diff_n(
          t_inv_diff_n_ptr, &t_inv_diff_n_ptr[HVEC0_1],
 
          &t_inv_diff_n_ptr[HVEC1_0], &t_inv_diff_n_ptr[HVEC1_1],
 
          &t_inv_diff_n_ptr[HVEC2_0], &t_inv_diff_n_ptr[HVEC2_1]);
 
      auto t_inv_jac = getFTensor2FromMat<2, 2>(*invJacPtr);
      for (unsigned int gg = 0; gg != nb_gauss_pts; ++gg, ++t_inv_jac) {
        for (unsigned int bb = 0; bb != nb_base_functions; bb++) {
          t_inv_diff_n(i, j) = t_diff_n(i, k) * t_inv_jac(k, j);
          ++t_diff_n;
          ++t_inv_diff_n;
        }
      }
 
      data.getDiffN(base).swap(diffHcurlInvJac);
    }
  }
 
  MoFEMFunctionReturn(0);
}
 
MoFEMErrorCode
OpSetInvJacHcurlFaceImpl<3>::doWork(int side, EntityType type,
                                    EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
 
  if (type != MBEDGE && type != MBTRI && type != MBQUAD)
    MoFEMFunctionReturnHot(0);
 
  if (getFEDim() != 2)
    SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY,
            "This operator can be used only with element which is triangle");
 
  FTensor::Index<'i', 3> i;
  FTensor::Index<'j', 3> j;
  FTensor::Index<'K', 2> K;
 
  for (int b = AINSWORTH_LEGENDRE_BASE; b != USER_BASE; b++) {
 
    FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
 
    const unsigned int nb_base_functions = data.getDiffN(base).size2() / 6;
    if (nb_base_functions) {
      const unsigned int nb_gauss_pts = data.getDiffN(base).size1();
 
      diffHcurlInvJac.resize(nb_gauss_pts, nb_base_functions * 9, false);
 
      auto t_diff_n = data.getFTensor2DiffN<3, 2>(base);
      double *t_inv_diff_n_ptr = &*diffHcurlInvJac.data().begin();
      FTensor::Tensor2<FTensor::PackPtr<double *, 9>, 3, 3> t_inv_diff_n(
          t_inv_diff_n_ptr, &t_inv_diff_n_ptr[HVEC0_1],
          &t_inv_diff_n_ptr[HVEC0_2],
 
          &t_inv_diff_n_ptr[HVEC1_0], &t_inv_diff_n_ptr[HVEC1_1],
          &t_inv_diff_n_ptr[HVEC1_2],
 
          &t_inv_diff_n_ptr[HVEC2_0], &t_inv_diff_n_ptr[HVEC2_1],
          &t_inv_diff_n_ptr[HVEC2_2]);
 
      auto t_inv_jac = getFTensor2FromMat<3, 3>(*invJacPtr);
      for (unsigned int gg = 0; gg != nb_gauss_pts; ++gg, ++t_inv_jac) {
        for (unsigned int bb = 0; bb != nb_base_functions; bb++) {
          t_inv_diff_n(i, j) = t_diff_n(i, K) * t_inv_jac(K, j);
          ++t_diff_n;
          ++t_inv_diff_n;
        }
      }
 
      data.getDiffN(base).swap(diffHcurlInvJac);
    }
  }
 
  MoFEMFunctionReturn(0);
}
 
MoFEMErrorCode OpMakeHdivFromHcurl::doWork(int side, EntityType type,
                                           EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
 
  if (type != MBEDGE && type != MBTRI && type != MBQUAD)
    MoFEMFunctionReturnHot(0);
 
  if (getFEDim() != 2)
    SETERRQ(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY,
            "This operator can be used only with element which is face");
 
  for (int b = AINSWORTH_LEGENDRE_BASE; b != USER_BASE; b++) {
 
    FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
 
    const size_t nb_base_functions = data.getN(base).size2() / 3;
    if (nb_base_functions) {
 
      const size_t nb_gauss_pts = data.getN(base).size1();
 
      auto t_n = data.getFTensor1N<3>(base);
      auto t_diff_n = data.getFTensor2DiffN<3, 2>(base);
      for (size_t gg = 0; gg != nb_gauss_pts; ++gg) {
        for (size_t bb = 0; bb != nb_base_functions; ++bb) {
 
          const double a = t_n(0);
          t_n(0) = -t_n(1);
          t_n(1) = a;
 
          for (auto n : {0, 1}) {
            const double b = t_diff_n(0, n);
            t_diff_n(0, n) = -t_diff_n(1, n);
            t_diff_n(1, n) = b;
          }
 
          ++t_n;
          ++t_diff_n;
        }
      }
    }
  }
 
  MoFEMFunctionReturn(0);
}
 
OpSetCovariantPiolaTransformOnFace2DImpl<
    2>::OpSetCovariantPiolaTransformOnFace2DImpl(boost::shared_ptr<MatrixDouble>
                                                     inv_jac_ptr)
    : FaceElementForcesAndSourcesCore::UserDataOperator(HCURL),
      invJacPtr(inv_jac_ptr) {}
 
MoFEMErrorCode OpSetCovariantPiolaTransformOnFace2DImpl<2>::doWork(
    int side, EntityType type, EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
 
  const auto type_dim = moab::CN::Dimension(type);
  if (type_dim != 1 && type_dim != 2)
    MoFEMFunctionReturnHot(0);
 
  FTensor::Index<'i', 2> i;
  FTensor::Index<'j', 2> j;
  FTensor::Index<'k', 2> k;
 
  for (int b = AINSWORTH_LEGENDRE_BASE; b != LASTBASE; ++b) {
 
    FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
 
    auto &baseN = data.getN(base);
    auto &diffBaseN = data.getDiffN(base);
 
    int nb_dofs = baseN.size2() / 3;
    int nb_gauss_pts = baseN.size1();
 
    piolaN.resize(baseN.size1(), baseN.size2());
 
    if (nb_dofs > 0 && nb_gauss_pts > 0) {
 
      auto t_h_curl = data.getFTensor1N<3>(base);
      auto t_transformed_h_curl =
          getFTensor1FromPtr<3, 3>(&*piolaN.data().begin());
      auto t_inv_jac = getFTensor2FromMat<2, 2>(*invJacPtr);
      for (int gg = 0; gg != nb_gauss_pts; ++gg) {
        for (int ll = 0; ll != nb_dofs; ll++) {
          t_transformed_h_curl(i) = t_inv_jac(j, i) * t_h_curl(j);
          ++t_h_curl;
          ++t_transformed_h_curl;
        }
        ++t_inv_jac;
      }
      baseN.swap(piolaN);
 
      diffPiolaN.resize(diffBaseN.size1(), diffBaseN.size2());
      if (diffBaseN.data().size() > 0) {
        auto t_diff_h_curl = data.getFTensor2DiffN<3, 2>(base);
        auto t_transformed_diff_h_curl =
            getFTensor2HVecFromPtr<3, 2>(&*diffPiolaN.data().begin());
        auto t_inv_jac = getFTensor2FromMat<2, 2>(*invJacPtr);
        for (int gg = 0; gg != nb_gauss_pts; ++gg) {
          for (int ll = 0; ll != nb_dofs; ll++) {
            t_transformed_diff_h_curl(i, k) =
                t_inv_jac(j, i) * t_diff_h_curl(j, k);
            ++t_diff_h_curl;
            ++t_transformed_diff_h_curl;
          }
          ++t_inv_jac;
        }
        diffBaseN.swap(diffPiolaN);
      }
    }
  }
 
  MoFEMFunctionReturn(0);
}
 
MoFEMErrorCode OpSetContravariantPiolaTransformOnFace2DImpl<2>::doWork(
    int side, EntityType type, EntitiesFieldData::EntData &data) {
 
  MoFEMFunctionBegin;
 
  if (type != MBEDGE && type != MBTRI && type != MBQUAD)
    MoFEMFunctionReturnHot(0);
 
  FTensor::Index<'i', 2> i;
  FTensor::Index<'j', 2> j;
  FTensor::Index<'k', 2> k;
 
  for (int b = AINSWORTH_LEGENDRE_BASE; b != LASTBASE; b++) {
 
    FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
 
    const size_t nb_base_functions = data.getN(base).size2() / 3;
    if (nb_base_functions) {
 
      const size_t nb_gauss_pts = data.getN(base).size1();
      piolaN.resize(nb_gauss_pts, data.getN(base).size2(), false);
      if (data.getN(base).size2() > 0) {
        auto t_n = data.getFTensor1N<3>(base);
        double *t_transformed_n_ptr = &*piolaN.data().begin();
        FTensor::Tensor1<FTensor::PackPtr<double *, 3>, 3> t_transformed_n(
            t_transformed_n_ptr, // HVEC0
            &t_transformed_n_ptr[HVEC1], &t_transformed_n_ptr[HVEC2]);
        auto t_jac = getFTensor2FromMat<2, 2>(*jacPtr);
        for (unsigned int gg = 0; gg != nb_gauss_pts; ++gg, ++t_jac) {
          double det;
          CHKERR determinantTensor2by2(t_jac, det);
          for (unsigned int bb = 0; bb != nb_base_functions; ++bb) {
            t_transformed_n(i) = t_jac(i, k) * t_n(k) / det;
            ++t_n;
            ++t_transformed_n;
          }
        }
        data.getN(base).swap(piolaN);
      }
 
      piolaDiffN.resize(nb_gauss_pts, data.getDiffN(base).size2(), false);
      if (data.getDiffN(base).data().size() > 0) {
        auto t_diff_n = data.getFTensor2DiffN<3, 2>(base);
        double *t_transformed_diff_n_ptr = &*piolaDiffN.data().begin();
        FTensor::Tensor2<FTensor::PackPtr<double *, 6>, 3, 2>
            t_transformed_diff_n(t_transformed_diff_n_ptr,
                                 &t_transformed_diff_n_ptr[HVEC0_1],
 
                                 &t_transformed_diff_n_ptr[HVEC1_0],
                                 &t_transformed_diff_n_ptr[HVEC1_1],
 
                                 &t_transformed_diff_n_ptr[HVEC2_0],
                                 &t_transformed_diff_n_ptr[HVEC2_1]);
        auto t_jac = getFTensor2FromMat<2, 2>(*jacPtr);
        for (unsigned int gg = 0; gg != nb_gauss_pts; ++gg, ++t_jac) {
          double det;
          CHKERR determinantTensor2by2(t_jac, det);
          for (unsigned int bb = 0; bb != nb_base_functions; ++bb) {
            t_transformed_diff_n(i, k) = t_jac(i, j) * t_diff_n(j, k) / det;
            ++t_diff_n;
            ++t_transformed_diff_n;
          }
        }
        data.getDiffN(base).swap(piolaDiffN);
      }
    }
  }
 
  MoFEMFunctionReturn(0);
}
 
MoFEMErrorCode OpSetContravariantPiolaTransformOnFace2DImpl<3>::doWork(
    int side, EntityType type, EntitiesFieldData::EntData &data) {
 
  MoFEMFunctionBegin;
 
  if (type != MBEDGE && type != MBTRI && type != MBQUAD)
    MoFEMFunctionReturnHot(0);
 
  FTensor::Index<'i', 3> i;
  FTensor::Index<'j', 3> j;
  FTensor::Index<'K', 2> K;
 
  for (int b = AINSWORTH_LEGENDRE_BASE; b != LASTBASE; b++) {
 
    FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
 
    const size_t nb_base_functions = data.getN(base).size2() / 3;
    if (nb_base_functions) {
 
      const size_t nb_gauss_pts = data.getN(base).size1();
      piolaN.resize(nb_gauss_pts, data.getN(base).size2(), false);
      if (data.getN(base).size2() > 0) {
        auto t_n = data.getFTensor1N<3>(base);
        double *t_transformed_n_ptr = &*piolaN.data().begin();
        FTensor::Tensor1<FTensor::PackPtr<double *, 3>, 3> t_transformed_n(
            t_transformed_n_ptr, // HVEC0
            &t_transformed_n_ptr[HVEC1], &t_transformed_n_ptr[HVEC2]);
        auto t_jac = getFTensor2FromMat<3, 3>(*jacPtr);
        for (unsigned int gg = 0; gg != nb_gauss_pts; ++gg, ++t_jac) {
          double det;
          CHKERR determinantTensor3by3(t_jac, det);
          for (unsigned int bb = 0; bb != nb_base_functions; ++bb) {
            t_transformed_n(i) = t_jac(i, j) * t_n(j) / det;
            ++t_n;
            ++t_transformed_n;
          }
        }
        data.getN(base).swap(piolaN);
      }
 
      piolaDiffN.resize(nb_gauss_pts, data.getDiffN(base).size2(), false);
      if (data.getDiffN(base).size2() > 0) {
        auto t_diff_n = data.getFTensor2DiffN<3, 2>(base);
        double *t_transformed_diff_n_ptr = &*piolaDiffN.data().begin();
        FTensor::Tensor2<FTensor::PackPtr<double *, 6>, 3, 2>
            t_transformed_diff_n(t_transformed_diff_n_ptr,
                                 &t_transformed_diff_n_ptr[HVEC0_1],
 
                                 &t_transformed_diff_n_ptr[HVEC1_0],
                                 &t_transformed_diff_n_ptr[HVEC1_1],
 
                                 &t_transformed_diff_n_ptr[HVEC2_0],
                                 &t_transformed_diff_n_ptr[HVEC2_1]);
 
        auto t_jac = getFTensor2FromMat<3, 3>(*jacPtr);
        for (unsigned int gg = 0; gg != nb_gauss_pts; ++gg, ++t_jac) {
          double det;
          CHKERR determinantTensor3by3(t_jac, det);
          for (unsigned int bb = 0; bb != nb_base_functions; ++bb) {
            t_transformed_diff_n(i, K) = t_jac(i, j) * t_diff_n(j, K) / det;
            ++t_diff_n;
            ++t_transformed_diff_n;
          }
        }
        data.getDiffN(base).swap(piolaDiffN);
      }
    }
  }
 
  MoFEMFunctionReturn(0);
}
 
MoFEMErrorCode OpSetContravariantPiolaTransformOnEdge2D::doWork(
    int side, EntityType type, EntitiesFieldData::EntData &data) {
  MoFEMFunctionBeginHot;
 
  if (type != MBEDGE)
    MoFEMFunctionReturnHot(0);
 
  FTensor::Index<'i', 3> i;
  FTensor::Index<'j', 3> j;
  FTensor::Index<'k', 3> k;
 
  for (int b = AINSWORTH_LEGENDRE_BASE; b != LASTBASE; b++) {
 
    FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
    size_t nb_gauss_pts = data.getN(base).size1();
    size_t nb_dofs = data.getN(base).size2() / 3;
    if (nb_dofs > 0) {
 
      auto t_h_div = data.getFTensor1N<3>(base);
 
      size_t cc = 0;
      const auto &edge_direction_at_gauss_pts = getTangentAtGaussPts();
      if (edge_direction_at_gauss_pts.size1() == nb_gauss_pts) {
 
        auto t_dir = getFTensor1TangentAtGaussPts<3>();
 
        for (int gg = 0; gg != nb_gauss_pts; ++gg) {
          FTensor::Tensor1<double, 3> t_normal;
          t_normal(i) = (FTensor::levi_civita(i, j, k) *
                         EdgeElementForcesAndSourcesCore::tFaceOrientation(j)) *
                        t_dir(k);
          const auto l2 = t_normal(i) * t_normal(i);
          for (int ll = 0; ll != nb_dofs; ++ll) {
            const double val = t_h_div(0);
            const double a = val / l2;
            t_h_div(i) = t_normal(i) * a;
            ++t_h_div;
            ++cc;
          }
          ++t_dir;
        }
      }
 
      if (cc != nb_gauss_pts * nb_dofs)
        SETERRQ(PETSC_COMM_SELF, MOFEM_IMPOSSIBLE_CASE, "Data inconsistency");
    }
  }
 
  MoFEMFunctionReturnHot(0);
}
 
MoFEMErrorCode OpMultiplyDeterminantOfJacobianAndWeightsForFatPrisms::doWork(
    int side, EntityType type, EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
 
  if (type == MBVERTEX) {
 
    VectorDouble &coords = getCoords();
    double *coords_ptr = &*coords.data().begin();
 
    const int nb_gauss_pts = data.getN(NOBASE).size1();
    auto t_diff_n = data.getFTensor1DiffN<3>(NOBASE);
 
    FTensor::Index<'i', 3> i;
    FTensor::Index<'j', 3> j;
    FTensor::Tensor2<double, 3, 3> t_jac;
 
    auto t_w = getFTensor0IntegrationWeight();
    for (int gg = 0; gg != nb_gauss_pts; gg++) {
 
      FTensor::Tensor1<double *, 3> t_coords(coords_ptr, &coords_ptr[1],
                                             &coords_ptr[2], 3);
      t_jac(i, j) = 0;
      for (int bb = 0; bb != 6; bb++) {
        t_jac(i, j) += t_coords(i) * t_diff_n(j);
        ++t_diff_n;
        ++t_coords;
      }
 
      double det;
      CHKERR determinantTensor3by3(t_jac, det);
      t_w *= det / 2.;
 
      ++t_w;
    }
 
    double &vol = getVolume();
    auto t_w_scaled = getFTensor0IntegrationWeight();
    for (int gg = 0; gg != nb_gauss_pts; gg++) {
      t_w_scaled /= vol;
      ++t_w_scaled;
    }
  }
 
  doEntities[MBVERTEX] = true;
  std::fill(&doEntities[MBEDGE], &doEntities[MBMAXTYPE], false);
 
  MoFEMFunctionReturn(0);
}
 
MoFEMErrorCode
OpCalculateInvJacForFatPrism::doWork(int side, EntityType type,
                                     EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
 
  if (type == MBVERTEX) {
 
    VectorDouble &coords = getCoords();
    double *coords_ptr = &*coords.data().begin();
 
    const int nb_gauss_pts = data.getN(NOBASE).size1();
    auto t_diff_n = data.getFTensor1DiffN<3>(NOBASE);
    invJac.resize(9, nb_gauss_pts, false);
    invJac.clear();
    auto t_inv_jac = getFTensor2FromMat<3, 3>(invJac);
 
    FTensor::Index<'i', 3> i;
    FTensor::Index<'j', 3> j;
    FTensor::Tensor2<double, 3, 3> t_jac;
 
    for (int gg = 0; gg != nb_gauss_pts; gg++) {
 
      FTensor::Tensor1<double *, 3> t_coords(coords_ptr, &coords_ptr[1],
                                             &coords_ptr[2], 3);
      t_jac(i, j) = 0;
      for (int bb = 0; bb != 6; bb++) {
        t_jac(i, j) += t_coords(i) * t_diff_n(j);
        ++t_diff_n;
        ++t_coords;
      }
 
      double det;
      CHKERR determinantTensor3by3(t_jac, det);
      CHKERR invertTensor3by3(t_jac, det, t_inv_jac);
      ++t_inv_jac;
    }
  }
 
  doEntities[MBVERTEX] = true;
  std::fill(&doEntities[MBEDGE], &doEntities[MBMAXTYPE], false);
 
  MoFEMFunctionReturn(0);
}
 
MoFEMErrorCode
OpSetInvJacH1ForFatPrism::doWork(int side, EntityType type,
                                 EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
 
  for (int b = AINSWORTH_LEGENDRE_BASE; b != USER_BASE; b++) {
 
    FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
    if (data.getN(base).size2() == 0)
      continue;
 
    const int nb_gauss_pts = data.getN(base).size1();
    auto t_diff_n = data.getFTensor1DiffN<3>(base);
    diffNinvJac.resize(data.getDiffN(base).size1(), data.getDiffN(base).size2(),
                       false);
 
    FTensor::Index<'i', 3> i;
    FTensor::Index<'j', 3> j;
 
    FTensor::Tensor1<FTensor::PackPtr<double *, 3>, 3> t_inv_diff_n(
        &diffNinvJac(0, 0), &diffNinvJac(0, 1), &diffNinvJac(0, 2));
    auto t_inv_jac = getFTensor2FromMat<3, 3>(invJac);
 
    const int nb_dofs = data.getN(base).size2();
    for (int gg = 0; gg != nb_gauss_pts; gg++) {
      for (int bb = 0; bb != nb_dofs; bb++) {
        t_inv_diff_n(i) = t_diff_n(j) * t_inv_jac(j, i);
        ++t_inv_diff_n;
        ++t_diff_n;
      }
      ++t_inv_jac;
    }
 
    data.getDiffN(base).swap(diffNinvJac);
  }
 
  MoFEMFunctionReturn(0);
}
 
MoFEMErrorCode
OpCalculateInvJacForFlatPrism::doWork(int side, EntityType type,
                                      EntitiesFieldData::EntData &data) {
 
  MoFEMFunctionBegin;
 
  if (type == MBVERTEX) {
 
    VectorDouble &coords = getCoords();
    double *coords_ptr = &*coords.data().begin();
    double diff_n[6];
    CHKERR ShapeDiffMBTRI(diff_n);
    double j00_f3, j01_f3, j10_f3, j11_f3;
    for (int gg = 0; gg < 1; gg++) {
      // this is triangle, derivative of nodal shape functions is constant.
      // So only need to do one node.
      j00_f3 = cblas_ddot(3, &coords_ptr[0], 3, &diff_n[0], 2);
      j01_f3 = cblas_ddot(3, &coords_ptr[0], 3, &diff_n[1], 2);
      j10_f3 = cblas_ddot(3, &coords_ptr[1], 3, &diff_n[0], 2);
      j11_f3 = cblas_ddot(3, &coords_ptr[1], 3, &diff_n[1], 2);
    }
    double det_f3 = j00_f3 * j11_f3 - j01_f3 * j10_f3;
    invJacF3.resize(2, 2, false);
    invJacF3(0, 0) = j11_f3 / det_f3;
    invJacF3(0, 1) = -j01_f3 / det_f3;
    invJacF3(1, 0) = -j10_f3 / det_f3;
    invJacF3(1, 1) = j00_f3 / det_f3;
  }
 
  doEntities[MBVERTEX] = true;
  std::fill(&doEntities[MBEDGE], &doEntities[MBMAXTYPE], false);
 
  MoFEMFunctionReturn(0);
}
 
MoFEMErrorCode
OpSetInvJacH1ForFlatPrism::doWork(int side, EntityType type,
                                  EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
 
  for (int b = AINSWORTH_LEGENDRE_BASE; b != USER_BASE; b++) {
 
    FieldApproximationBase base = static_cast<FieldApproximationBase>(b);
 
    unsigned int nb_dofs = data.getN(base).size2();
    if (nb_dofs == 0)
      MoFEMFunctionReturnHot(0);
    unsigned int nb_gauss_pts = data.getN(base).size1();
    diffNinvJac.resize(nb_gauss_pts, 2 * nb_dofs, false);
 
#ifndef NDEBUG
    if (type != MBVERTEX) {
      if (nb_dofs != data.getDiffN(base).size2() / 2) {
        SETERRQ2(PETSC_COMM_SELF, MOFEM_DATA_INCONSISTENCY,
                 "data inconsistency nb_dofs != data.diffN.size2()/2 ( %u != "
                 "%u/2 )",
                 nb_dofs, data.getDiffN(base).size2());
      }
    }
#endif
 
    switch (type) {
    case MBVERTEX:
    case MBEDGE:
    case MBTRI: {
      for (unsigned int gg = 0; gg < nb_gauss_pts; gg++) {
        for (unsigned int dd = 0; dd < nb_dofs; dd++) {
          cblas_dgemv(CblasRowMajor, CblasTrans, 2, 2, 1,
                      &*invJacF3.data().begin(), 2,
                      &data.getDiffN(base)(gg, 2 * dd), 1, 0,
                      &diffNinvJac(gg, 2 * dd), 1);
        }
      }
      data.getDiffN(base).swap(diffNinvJac);
    } break;
    default:
      SETERRQ(PETSC_COMM_SELF, MOFEM_NOT_IMPLEMENTED, "not implemented");
    }
  }
 
  MoFEMFunctionReturn(0);
}
 
OpCalculateHcurlVectorCurl<3, 3>::OpCalculateHcurlVectorCurl(
    const std::string field_name, boost::shared_ptr<MatrixDouble> data_ptr,
    const EntityType zero_type, const int zero_side)
    : ForcesAndSourcesCore::UserDataOperator(
          field_name, ForcesAndSourcesCore::UserDataOperator::OPROW),
      dataPtr(data_ptr), zeroType(zero_type), zeroSide(zero_side) {
  if (!dataPtr)
    THROW_MESSAGE("Pointer is not set");
}
 
MoFEMErrorCode
OpCalculateHcurlVectorCurl<3, 3>::doWork(int side, EntityType type,
                                         EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
  const auto nb_integration_points = getGaussPts().size2();
  if (type == zeroType && side == zeroSide) {
    dataPtr->resize(3, nb_integration_points, false);
    dataPtr->clear();
  }
  const auto nb_dofs = data.getFieldData().size();
  if (!nb_dofs)
    MoFEMFunctionReturnHot(0);
  FTensor::Index<'i', 3> i;
  FTensor::Index<'j', 3> j;
  FTensor::Index<'k', 3> k;
  const auto nb_base_functions = data.getN().size2() / 3;
  auto t_n_diff_hcurl = data.getFTensor2DiffN<3, 3>();
  auto t_data = getFTensor1FromMat<3>(*dataPtr);
  for (auto gg = 0; gg != nb_integration_points; ++gg) {
    auto t_dof = data.getFTensor0FieldData();
    int bb = 0;
    for (; bb != nb_dofs; ++bb) {
      t_data(k) += t_dof * (levi_civita(j, i, k) * t_n_diff_hcurl(i, j));
      ++t_n_diff_hcurl;
      ++t_dof;
    }
    for (; bb < nb_base_functions; ++bb)
      ++t_n_diff_hcurl;
    ++t_data;
  }
 
  MoFEMFunctionReturn(0);
}
 
OpCalculateHcurlVectorCurl<1, 2>::OpCalculateHcurlVectorCurl(
    const std::string field_name, boost::shared_ptr<MatrixDouble> data_ptr,
    const EntityType zero_type, const int zero_side)
    : ForcesAndSourcesCore::UserDataOperator(
          field_name, ForcesAndSourcesCore::UserDataOperator::OPROW),
      dataPtr(data_ptr), zeroType(zero_type), zeroSide(zero_side) {
  if (!dataPtr)
    THROW_MESSAGE("Pointer is not set");
}
 
MoFEMErrorCode
OpCalculateHcurlVectorCurl<1, 2>::doWork(int side, EntityType type,
                                         EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
  const auto nb_integration_points = getGaussPts().size2();
  if (type == zeroType && side == zeroSide) {
    dataPtr->resize(2, nb_integration_points, false);
    dataPtr->clear();
  }
  const auto nb_dofs = data.getFieldData().size();
  if (!nb_dofs)
    MoFEMFunctionReturnHot(0);
 
  FTensor::Index<'i', 2> i;
  FTensor::Index<'j', 2> j;
 
  const auto nb_base_functions = data.getN().size2();
  auto t_n_diff_hcurl = data.getFTensor1DiffN<2>();
  auto t_data = getFTensor1FromMat<2>(*dataPtr);
  for (auto gg = 0; gg != nb_integration_points; ++gg) {
    auto t_dof = data.getFTensor0FieldData();
    int bb = 0;
    for (; bb != nb_dofs; ++bb) {
      t_data(i) += t_dof * (levi_civita(i, j) * t_n_diff_hcurl(j));
      ++t_n_diff_hcurl;
      ++t_dof;
    }
    for (; bb < nb_base_functions; ++bb)
      ++t_n_diff_hcurl;
    ++t_data;
  }
 
  MoFEMFunctionReturn(0);
}
 
OpCalculateHcurlVectorCurl<1, 3>::OpCalculateHcurlVectorCurl(
    const std::string field_name, boost::shared_ptr<MatrixDouble> data_ptr,
    const EntityType zero_type, const int zero_side)
    : FaceElementForcesAndSourcesCore::UserDataOperator(
          field_name, FaceElementForcesAndSourcesCore::UserDataOperator::OPROW),
      dataPtr(data_ptr), zeroType(zero_type), zeroSide(zero_side) {
  if (!dataPtr)
    THROW_MESSAGE("Pointer is not set");
}
 
MoFEMErrorCode
OpCalculateHcurlVectorCurl<1, 3>::doWork(int side, EntityType type,
                                         EntitiesFieldData::EntData &data) {
  MoFEMFunctionBegin;
  const auto nb_integration_points = getGaussPts().size2();
  if (type == zeroType && side == zeroSide) {
    dataPtr->resize(3, nb_integration_points, false);
    dataPtr->clear();
  }
  const auto nb_dofs = data.getFieldData().size();
  if (!nb_dofs)
    MoFEMFunctionReturnHot(0);
 
  FTensor::Index<'i', 3> i;
  FTensor::Index<'j', 3> j;
  FTensor::Index<'k', 3> k;
 
  const auto nb_base_functions = data.getN().size2();
  auto t_n_diff_hcurl = data.getFTensor1DiffN<3>();
  auto t_data = getFTensor1FromMat<3>(*dataPtr);
  auto t_normal = getFTensor1NormalsAtGaussPts();
  for (auto gg = 0; gg != nb_integration_points; ++gg) {
    auto t_dof = data.getFTensor0FieldData();
    auto nrm = t_normal.l2();
    int bb = 0;
    for (; bb != nb_dofs; ++bb) {
      t_data(k) += (t_dof / nrm) *
                   ((levi_civita(i, j, k) * t_normal(i)) * t_n_diff_hcurl(j));
      ++t_n_diff_hcurl;
      ++t_dof;
    }
    for (; bb < nb_base_functions; ++bb)
      ++t_n_diff_hcurl;
    ++t_data;
    ++t_normal;
  }
 
  MoFEMFunctionReturn(0);
}
 
} // namespace MoFEM