15#ifndef dealii_tensor_product_polynomials_h
16#define dealii_tensor_product_polynomials_h
74template <
int dim,
typename PolynomialType = Polynomials::Polynomial<
double>>
109 const std::vector<unsigned int> &
115 const std::vector<unsigned int> &
132 std::vector<double> &values,
238 virtual std::unique_ptr<ScalarPolynomialsBase<dim>>
239 clone()
const override;
251 std::vector<PolynomialType>
278 std::array<unsigned int, dim> &indices)
const;
358 std::vector<double> &values,
464 virtual std::unique_ptr<ScalarPolynomialsBase<dim>>
465 clone()
const override;
471 const std::vector<std::vector<Polynomials::Polynomial<double>>>
polynomials;
481 std::array<unsigned int, dim> &indices)
const;
499template <
int dim,
typename PolynomialType>
502 const std::vector<Pol> &pols)
504 , polynomials(pols.begin(), pols.end())
505 , index_map(this->n())
506 , index_map_inverse(this->n())
510 for (
unsigned int i = 0; i < this->
n(); ++i)
513 index_map_inverse[i] = i;
518template <
int dim,
typename PolynomialType>
519inline const std::vector<unsigned int> &
526template <
int dim,
typename PolynomialType>
527inline const std::vector<unsigned int> &
530 return index_map_inverse;
534template <
int dim,
typename PolynomialType>
538 return "TensorProductPolynomials";
542template <
int dim,
typename PolynomialType>
546 const unsigned int i,
549 std::array<unsigned int, dim> indices;
550 compute_index(i, indices);
554 std::vector<double> tmp(5);
555 for (
unsigned int d = 0;
d < dim; ++
d)
557 polynomials[indices[
d]].value(p[d], tmp);
573 for (
unsigned int d = 0;
d < dim; ++
d)
575 derivative_1[
d] = 1.;
576 for (
unsigned int x = 0; x < dim; ++x)
578 unsigned int x_order = 0;
582 derivative_1[
d] *= v[x][x_order];
592 for (
unsigned int d1 = 0; d1 < dim; ++d1)
593 for (
unsigned int d2 = 0; d2 < dim; ++d2)
595 derivative_2[d1][d2] = 1.;
596 for (
unsigned int x = 0; x < dim; ++x)
598 unsigned int x_order = 0;
604 derivative_2[d1][d2] *= v[x][x_order];
614 for (
unsigned int d1 = 0; d1 < dim; ++d1)
615 for (
unsigned int d2 = 0; d2 < dim; ++d2)
616 for (
unsigned int d3 = 0; d3 < dim; ++d3)
618 derivative_3[d1][d2][d3] = 1.;
619 for (
unsigned int x = 0; x < dim; ++x)
621 unsigned int x_order = 0;
629 derivative_3[d1][d2][d3] *= v[x][x_order];
639 for (
unsigned int d1 = 0; d1 < dim; ++d1)
640 for (
unsigned int d2 = 0; d2 < dim; ++d2)
641 for (
unsigned int d3 = 0; d3 < dim; ++d3)
642 for (
unsigned int d4 = 0; d4 < dim; ++d4)
644 derivative_4[d1][d2][d3][d4] = 1.;
645 for (
unsigned int x = 0; x < dim; ++x)
647 unsigned int x_order = 0;
657 derivative_4[d1][d2][d3][d4] *= v[x][x_order];
677 compute_derivative(
const unsigned int,
const Point<0> &)
const
686template <
int dim,
typename PolynomialType>
689 const unsigned int i,
692 return compute_derivative<1>(i, p);
697template <
int dim,
typename PolynomialType>
700 const unsigned int i,
703 return compute_derivative<2>(i, p);
708template <
int dim,
typename PolynomialType>
711 const unsigned int i,
714 return compute_derivative<3>(i, p);
719template <
int dim,
typename PolynomialType>
722 const unsigned int i,
725 return compute_derivative<4>(i, p);
736 std::array<unsigned int, dim> indices;
737 compute_index(i, indices);
739 std::vector<std::vector<double>> v(dim, std::vector<double>(order + 1));
740 for (
unsigned int d = 0;
d < dim; ++
d)
741 polynomials[d][indices[d]].
value(p[d], v[d]);
750 for (
unsigned int d = 0;
d < dim; ++
d)
752 derivative_1[
d] = 1.;
753 for (
unsigned int x = 0; x < dim; ++x)
755 unsigned int x_order = 0;
759 derivative_1[
d] *= v[x][x_order];
769 for (
unsigned int d1 = 0; d1 < dim; ++d1)
770 for (
unsigned int d2 = 0; d2 < dim; ++d2)
772 derivative_2[d1][d2] = 1.;
773 for (
unsigned int x = 0; x < dim; ++x)
775 unsigned int x_order = 0;
781 derivative_2[d1][d2] *= v[x][x_order];
791 for (
unsigned int d1 = 0; d1 < dim; ++d1)
792 for (
unsigned int d2 = 0; d2 < dim; ++d2)
793 for (
unsigned int d3 = 0; d3 < dim; ++d3)
795 derivative_3[d1][d2][d3] = 1.;
796 for (
unsigned int x = 0; x < dim; ++x)
798 unsigned int x_order = 0;
806 derivative_3[d1][d2][d3] *= v[x][x_order];
816 for (
unsigned int d1 = 0; d1 < dim; ++d1)
817 for (
unsigned int d2 = 0; d2 < dim; ++d2)
818 for (
unsigned int d3 = 0; d3 < dim; ++d3)
819 for (
unsigned int d4 = 0; d4 < dim; ++d4)
821 derivative_4[d1][d2][d3][d4] = 1.;
822 for (
unsigned int x = 0; x < dim; ++x)
824 unsigned int x_order = 0;
834 derivative_4[d1][d2][d3][d4] *= v[x][x_order];
868 return compute_derivative<1>(i, p);
878 return compute_derivative<2>(i, p);
888 return compute_derivative<3>(i, p);
898 return compute_derivative<4>(i, p);
907 return "AnisotropicPolynomials";
void evaluate(const Point< dim > &unit_point, std::vector< double > &values, std::vector< Tensor< 1, dim > > &grads, std::vector< Tensor< 2, dim > > &grad_grads, std::vector< Tensor< 3, dim > > &third_derivatives, std::vector< Tensor< 4, dim > > &fourth_derivatives) const override
double compute_value(const unsigned int i, const Point< dim > &p) const override
const std::vector< std::vector< Polynomials::Polynomial< double > > > polynomials
virtual Tensor< 1, dim > compute_1st_derivative(const unsigned int i, const Point< dim > &p) const override
static unsigned int get_n_tensor_pols(const std::vector< std::vector< Polynomials::Polynomial< double > > > &pols)
virtual Tensor< 3, dim > compute_3rd_derivative(const unsigned int i, const Point< dim > &p) const override
void compute_index(const unsigned int i, std::array< unsigned int, dim > &indices) const
Tensor< 2, dim > compute_grad_grad(const unsigned int i, const Point< dim > &p) const override
virtual Tensor< 2, dim > compute_2nd_derivative(const unsigned int i, const Point< dim > &p) const override
Tensor< order, dim > compute_derivative(const unsigned int i, const Point< dim > &p) const
std::string name() const override
Tensor< 1, dim > compute_grad(const unsigned int i, const Point< dim > &p) const override
virtual Tensor< 4, dim > compute_4th_derivative(const unsigned int i, const Point< dim > &p) const override
virtual std::unique_ptr< ScalarPolynomialsBase< dim > > clone() const override
void evaluate(const Point< dim > &unit_point, std::vector< double > &values, std::vector< Tensor< 1, dim > > &grads, std::vector< Tensor< 2, dim > > &grad_grads, std::vector< Tensor< 3, dim > > &third_derivatives, std::vector< Tensor< 4, dim > > &fourth_derivatives) const override
void output_indices(std::ostream &out) const
void compute_index(const unsigned int i, std::array< unsigned int, dim > &indices) const
double compute_value(const unsigned int i, const Point< dim > &p) const override
virtual std::size_t memory_consumption() const override
virtual Tensor< 2, dim > compute_2nd_derivative(const unsigned int i, const Point< dim > &p) const override
const std::vector< unsigned int > & get_numbering() const
Tensor< 1, dim > compute_grad(const unsigned int i, const Point< dim > &p) const override
Tensor< order, dim > compute_derivative(const unsigned int i, const Point< dim > &p) const
virtual std::unique_ptr< ScalarPolynomialsBase< dim > > clone() const override
virtual Tensor< 1, dim > compute_1st_derivative(const unsigned int i, const Point< dim > &p) const override
std::vector< unsigned int > index_map
std::vector< unsigned int > index_map_inverse
std::vector< PolynomialType > get_underlying_polynomials() const
virtual Tensor< 3, dim > compute_3rd_derivative(const unsigned int i, const Point< dim > &p) const override
std::vector< PolynomialType > polynomials
void set_numbering(const std::vector< unsigned int > &renumber)
const std::vector< unsigned int > & get_numbering_inverse() const
Tensor< 2, dim > compute_grad_grad(const unsigned int i, const Point< dim > &p) const override
std::string name() const override
static constexpr unsigned int dimension
virtual Tensor< 4, dim > compute_4th_derivative(const unsigned int i, const Point< dim > &p) const override
TensorProductPolynomials(const std::vector< Pol > &pols)
#define DEAL_II_NAMESPACE_OPEN
#define DEAL_II_NAMESPACE_CLOSE
static ::ExceptionBase & ExcNotImplemented()
#define AssertThrow(cond, exc)
#define DEAL_II_NOT_IMPLEMENTED()
SymmetricTensor< 2, dim, Number > d(const Tensor< 2, dim, Number > &F, const Tensor< 2, dim, Number > &dF_dt)
typename internal::ndarray::HelperArray< T, Ns... >::type ndarray