From eb6e48c158a46ad070a2f1542978fada7514bbae Mon Sep 17 00:00:00 2001 From: Maien Hamed Date: Thu, 20 Aug 2015 16:47:12 +0200 Subject: [PATCH] computing jacobian_2nd_derivative and jacobian_3rd_derivative in mapping classes --- doc/news/changes.h | 7 + include/deal.II/base/polynomial_space.h | 132 +- include/deal.II/base/polynomials_abf.h | 14 +- include/deal.II/base/polynomials_bdm.h | 14 +- include/deal.II/base/polynomials_nedelec.h | 6 +- .../base/polynomials_rannacher_turek.h | 96 +- .../deal.II/base/polynomials_raviart_thomas.h | 4 +- .../deal.II/base/tensor_product_polynomials.h | 258 +++- .../base/tensor_product_polynomials_bubbles.h | 167 ++- .../base/tensor_product_polynomials_const.h | 37 +- include/deal.II/fe/fe.h | 56 + include/deal.II/fe/fe_poly.h | 48 +- include/deal.II/fe/fe_poly.templates.h | 58 +- include/deal.II/fe/fe_poly_face.h | 6 +- include/deal.II/fe/fe_poly_tensor.h | 6 +- include/deal.II/fe/fe_system.h | 58 + include/deal.II/fe/fe_update_flags.h | 105 +- include/deal.II/fe/fe_values.h | 207 +++ include/deal.II/fe/mapping_fe_field.h | 40 + include/deal.II/fe/mapping_q1.h | 92 +- source/base/polynomial_space.cc | 87 +- source/base/polynomials_abf.cc | 28 +- source/base/polynomials_bdm.cc | 19 +- source/base/polynomials_nedelec.cc | 43 +- source/base/polynomials_rannacher_turek.cc | 16 +- source/base/polynomials_raviart_thomas.cc | 29 +- source/base/tensor_product_polynomials.cc | 135 +- .../tensor_product_polynomials_bubbles.cc | 25 +- .../base/tensor_product_polynomials_const.cc | 29 +- source/fe/fe.cc | 46 + source/fe/fe_bdm.cc | 5 +- source/fe/fe_dgp_nonparametric.cc | 18 +- source/fe/fe_poly_tensor.cc | 15 +- source/fe/fe_system.cc | 90 ++ source/fe/fe_values.cc | 20 + source/fe/mapping_cartesian.cc | 28 + source/fe/mapping_fe_field.cc | 746 ++++++++-- source/fe/mapping_q.cc | 32 +- source/fe/mapping_q1.cc | 459 +++++- tests/base/anisotropic_1.cc | 51 +- tests/base/anisotropic_1.output | 234 +-- tests/base/polynomial_test.cc | 47 +- tests/base/polynomial_test.output | 348 ++--- tests/base/polynomials_bdm_01.cc | 4 +- tests/base/polynomials_rt.cc | 4 +- tests/base/polynomials_tensor.cc | 4 +- tests/fe/jacobians.cc | 273 ++-- tests/fe/jacobians.output | 244 +++- tests/fe/jacobians_face.cc | 427 ++++-- tests/fe/jacobians_face.output | 1266 +++++++++++++---- tests/fe/jacobians_face_cartesian.cc | 425 ++++-- tests/fe/jacobians_face_cartesian.output | 702 ++++++++- tests/fe/jacobians_face_fe_field.cc | 445 ++++-- tests/fe/jacobians_face_fe_field.output | 762 +++++++++- 54 files changed, 7211 insertions(+), 1306 deletions(-) diff --git a/doc/news/changes.h b/doc/news/changes.h index bb2170046f..f78659debb 100644 --- a/doc/news/changes.h +++ b/doc/news/changes.h @@ -235,6 +235,13 @@ inconvenience this causes.
    +
  1. New: Jacobian second and third derivatives are now computed by the mapping classes and can be + accessed through FEValues in much the same way as the Jacobian and Jacobian gradient. +
    + (Maien Hamed, 2015/08/28-2015/08/31) +
  2. + +
  3. New: There are now a collection of functions named GridTools::compute_active_cell_halo_layer() that determine which cells form a layer around a specified subdomain. There is also a function GridTools::compute_ghost_cell_halo_layer() that returns the smallest layer of ghost cells around diff --git a/include/deal.II/base/polynomial_space.h b/include/deal.II/base/polynomial_space.h index 3d7baf7afb..9c73f2d1f4 100644 --- a/include/deal.II/base/polynomial_space.h +++ b/include/deal.II/base/polynomial_space.h @@ -141,19 +141,31 @@ public: void compute (const Point &unit_point, std::vector &values, std::vector > &grads, - std::vector > &grad_grads) const; + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const; /** - * Computes the value of the ith polynomial at unit_point. + * Computes the value of the ith polynomial at unit point p. * * Consider using compute() instead. */ double compute_value (const unsigned int i, const Point &p) const; + /** + * Computes the order @tparam order derivative of the ith + * polynomial at unit point p. + * + * Consider using compute() instead. + */ + template + Tensor compute_derivative (const unsigned int i, + const Point &p) const; + /** * Computes the gradient of the ith polynomial at - * unit_point. + * unit point p. * * Consider using compute() instead. */ @@ -162,7 +174,7 @@ public: /** * Computes the second derivative (grad_grad) of the ith polynomial - * at unit_point. + * at unit point p. * * Consider using compute() instead. */ @@ -300,6 +312,118 @@ PolynomialSpace::output_indices(STREAM &out) const } } +template +template +Tensor +PolynomialSpace::compute_derivative (const unsigned int i, + const Point &p) const +{ + unsigned int indices[dim]; + compute_index (i, indices); + + double v [dim][order+1]; + { + std::vector tmp (order+1); + for (unsigned int d=0; d derivative; + switch (order) + { + case 1: + { + Tensor<1,dim> &derivative_1 = *reinterpret_cast*>(&derivative); + for (unsigned int d=0; d &derivative_2 = *reinterpret_cast*>(&derivative); + for (unsigned int d1=0; d1 &derivative_3 = *reinterpret_cast*>(&derivative); + for (unsigned int d1=0; d1 &derivative_4 = *reinterpret_cast*>(&derivative); + for (unsigned int d1=0; d1 &unit_point, std::vector > &values, std::vector > &grads, - std::vector > &grad_grads) const; + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const; /** * Returns the number of ABF polynomials. @@ -144,6 +146,16 @@ private: * Auxiliary memory. */ mutable std::vector > p_grad_grads; + + /** + * Auxiliary memory. + */ + mutable std::vector > p_third_derivatives; + + /** + * Auxiliary memory. + */ + mutable std::vector > p_fourth_derivatives; }; diff --git a/include/deal.II/base/polynomials_bdm.h b/include/deal.II/base/polynomials_bdm.h index beb6b0bb67..489e64f1b1 100644 --- a/include/deal.II/base/polynomials_bdm.h +++ b/include/deal.II/base/polynomials_bdm.h @@ -127,7 +127,9 @@ public: void compute (const Point &unit_point, std::vector > &values, std::vector > &grads, - std::vector > &grad_grads) const; + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const; /** * Returns the number of BDM polynomials. @@ -189,6 +191,16 @@ private: * Auxiliary memory. */ mutable std::vector > p_grad_grads; + + /** + * Auxiliary memory. + */ + mutable std::vector > p_third_derivatives; + + /** + * Auxiliary memory. + */ + mutable std::vector > p_fourth_derivatives; }; diff --git a/include/deal.II/base/polynomials_nedelec.h b/include/deal.II/base/polynomials_nedelec.h index bf520dcfb5..46e5872112 100644 --- a/include/deal.II/base/polynomials_nedelec.h +++ b/include/deal.II/base/polynomials_nedelec.h @@ -73,7 +73,11 @@ public: * compute_grad or compute_grad_grad functions, see below, * in a loop over all tensor product polynomials. */ - void compute (const Point &unit_point, std::vector > &values, std::vector > &grads, std::vector > &grad_grads) const; + void compute (const Point &unit_point, std::vector > &values, + std::vector > &grads, + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const; /** * Returns the number of Nédélec polynomials. diff --git a/include/deal.II/base/polynomials_rannacher_turek.h b/include/deal.II/base/polynomials_rannacher_turek.h index 64302bec8e..635bceb6c6 100644 --- a/include/deal.II/base/polynomials_rannacher_turek.h +++ b/include/deal.II/base/polynomials_rannacher_turek.h @@ -55,10 +55,21 @@ public: */ double compute_value(const unsigned int i, const Point &p) const; + + /** + * orderth of basis function @p i at @p p. + * + * Consider using compute() instead. + */ + template + Tensor compute_derivative (const unsigned int i, + const Point &p) const; + /** Gradient of basis function @p i at @p p. */ Tensor<1, dim> compute_grad(const unsigned int i, const Point &p) const; + /** Gradient of gradient of basis function @p i at @p p. */ Tensor<2, dim> compute_grad_grad(const unsigned int i, @@ -75,9 +86,92 @@ public: void compute(const Point &unit_point, std::vector &values, std::vector > &grads, - std::vector > &grad_grads) const; + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const; }; +// template functions +template +template +Tensor +PolynomialsRannacherTurek::compute_derivative (const unsigned int i, + const Point &p) const +{ + Assert(dim == 2, ExcNotImplemented()); + Tensor derivative; + switch (order) + { + case 1: + { + Tensor<1,dim> &grad = *reinterpret_cast*>(&derivative); + if (i == 0) + { + grad[0] = -2.5 + 3*p(0); + grad[1] = 1.5 - 3*p(1); + } + else if (i == 1) + { + grad[0] = -0.5 + 3.0*p(0); + grad[1] = 1.5 - 3.0*p(1); + } + else if (i == 2) + { + grad[0] = 1.5 - 3.0*p(0); + grad[1] = -2.5 + 3.0*p(1); + } + else if (i == 3) + { + grad[0] = 1.5 - 3.0*p(0); + grad[1] = -0.5 + 3.0*p(1); + } + else + { + Assert(false, ExcNotImplemented()); + } + return derivative; + } + case 2: + { + Tensor<2,dim> &grad_grad = *reinterpret_cast*>(&derivative); + if (i == 0) + { + grad_grad[0][0] = 3; + grad_grad[0][1] = 0; + grad_grad[1][0] = 0; + grad_grad[1][1] = -3; + } + else if (i == 1) + { + grad_grad[0][0] = 3; + grad_grad[0][1] = 0; + grad_grad[1][0] = 0; + grad_grad[1][1] = -3; + } + else if (i == 2) + { + grad_grad[0][0] = -3; + grad_grad[0][1] = 0; + grad_grad[1][0] = 0; + grad_grad[1][1] = 3; + } + else if (i == 3) + { + grad_grad[0][0] = -3; + grad_grad[0][1] = 0; + grad_grad[1][0] = 0; + grad_grad[1][1] = 3; + } + return derivative; + } + default: + { + // higher derivatives are all zero + return Tensor(); + } + } +} + DEAL_II_NAMESPACE_CLOSE diff --git a/include/deal.II/base/polynomials_raviart_thomas.h b/include/deal.II/base/polynomials_raviart_thomas.h index 3aec59e25e..6c6761e893 100644 --- a/include/deal.II/base/polynomials_raviart_thomas.h +++ b/include/deal.II/base/polynomials_raviart_thomas.h @@ -74,7 +74,9 @@ public: void compute (const Point &unit_point, std::vector > &values, std::vector > &grads, - std::vector > &grad_grads) const; + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const; /** * Returns the number of Raviart-Thomas polynomials. diff --git a/include/deal.II/base/tensor_product_polynomials.h b/include/deal.II/base/tensor_product_polynomials.h index ec57139c23..6cc9c3bedc 100644 --- a/include/deal.II/base/tensor_product_polynomials.h +++ b/include/deal.II/base/tensor_product_polynomials.h @@ -115,7 +115,9 @@ public: void compute (const Point &unit_point, std::vector &values, std::vector > &grads, - std::vector > &grad_grads) const; + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const; /** * Computes the value of the ith tensor product polynomial at @@ -132,6 +134,22 @@ public: double compute_value (const unsigned int i, const Point &p) const; + /** + * Computes the order @tparam order derivative of the ith tensor + * product polynomial at unit_point. Here i is given in + * tensor product numbering. + * + * Note, that using this function within a loop over all tensor product + * polynomials is not efficient, because then each derivative value of the + * underlying (one-dimensional) polynomials is (unnecessarily) computed + * several times. Instead use the compute() function, see above, with + * the size of the appropriate parameter set to n() to get the point value + * of all tensor polynomials all at once and in a much more efficient way. + */ + template + Tensor compute_derivative (const unsigned int i, + const Point &p) const; + /** * Computes the grad of the ith tensor product polynomial at * unit_point. Here i is given in tensor product @@ -250,7 +268,9 @@ public: void compute (const Point &unit_point, std::vector &values, std::vector > &grads, - std::vector > &grad_grads) const; + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const; /** * Computes the value of the ith tensor product polynomial at @@ -267,6 +287,22 @@ public: double compute_value (const unsigned int i, const Point &p) const; + /** + * Computes the order @tparam order derivative of the ith tensor + * product polynomial at unit_point. Here i is given in + * tensor product numbering. + * + * Note, that using this function within a loop over all tensor product + * polynomials is not efficient, because then each derivative value of the + * underlying (one-dimensional) polynomials is (unnecessarily) computed + * several times. Instead use the compute() function, see above, with + * the size of the appropriate parameter set to n() to get the point value + * of all tensor polynomials all at once and in a much more efficient way. + */ + template + Tensor compute_derivative (const unsigned int i, + const Point &p) const; + /** * Computes the grad of the ith tensor product polynomial at * unit_point. Here i is given in tensor product @@ -392,6 +428,224 @@ TensorProductPolynomials::get_numbering_inverse() const return index_map_inverse; } +template +template +Tensor +TensorProductPolynomials::compute_derivative (const unsigned int i, + const Point &p) const +{ + unsigned int indices[dim]; + compute_index (i, indices); + + double v [dim][5]; + { + std::vector tmp (5); + for (unsigned int d=0; d derivative; + switch (order) + { + case 1: + { + Tensor<1,dim> &derivative_1 = *reinterpret_cast*>(&derivative); + for (unsigned int d=0; d &derivative_2 = *reinterpret_cast*>(&derivative); + for (unsigned int d1=0; d1 &derivative_3 = *reinterpret_cast*>(&derivative); + for (unsigned int d1=0; d1 &derivative_4 = *reinterpret_cast*>(&derivative); + for (unsigned int d1=0; d1 +template +Tensor +AnisotropicPolynomials::compute_derivative (const unsigned int i, + const Point &p) const +{ + unsigned int indices[dim]; + compute_index (i, indices); + + std::vector > v(dim, std::vector (order+1)); + for (unsigned int d=0; d derivative; + switch (order) + { + case 1: + { + Tensor<1,dim> &derivative_1 = *reinterpret_cast*>(&derivative); + for (unsigned int d=0; d &derivative_2 = *reinterpret_cast*>(&derivative); + for (unsigned int d1=0; d1 &derivative_3 = *reinterpret_cast*>(&derivative); + for (unsigned int d1=0; d1 &derivative_4 = *reinterpret_cast*>(&derivative); + for (unsigned int d1=0; d1 &unit_point, std::vector &values, std::vector > &grads, - std::vector > &grad_grads) const; + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const; /** * Computes the value of the ith tensor product polynomial at @@ -97,6 +99,22 @@ public: double compute_value (const unsigned int i, const Point &p) const; + /** + * Computes the order @tparam order derivative of the ith tensor + * product polynomial at unit_point. Here i is given in + * tensor product numbering. + * + * Note, that using this function within a loop over all tensor product + * polynomials is not efficient, because then each derivative value of the + * underlying (one-dimensional) polynomials is (unnecessarily) computed + * several times. Instead use the compute() function, see above, with + * the size of the appropriate parameter set to n() to get the point value + * of all tensor polynomials all at once and in a much more efficient way. + */ + template + Tensor compute_derivative (const unsigned int i, + const Point &p) const; + /** * Computes the grad of the ith tensor product polynomial at * unit_point. Here i is given in tensor product @@ -180,6 +198,153 @@ TensorProductPolynomialsBubbles<0>::n() const return numbers::invalid_unsigned_int; } +template +template +Tensor +TensorProductPolynomialsBubbles::compute_derivative (const unsigned int i, + const Point &p) const +{ + const unsigned int q_degree = this->polynomials.size()-1; + const unsigned int max_q_indices = this->n_tensor_pols; + const unsigned int n_bubbles = ((q_degree<=1)?1:dim); + (void)n_bubbles; + Assert (iTensorProductPolynomials::template compute_derivative(i,p); + + const unsigned int comp = i - this->n_tensor_pols; + + Tensor derivative; + switch (order) + { + case 1: + { + Tensor<1,dim> &derivative_1 = *reinterpret_cast*>(&derivative); + + for (unsigned int d=0; d=2) + { + //add \prod_{i=1}^d 4*(x_i(1-x_i))(p) + double value=1.; + for (unsigned int j=0; j < dim; ++j) + value*=4*p(j)*(1-p(j)); + //and multiply with grad(2*x_i-1)^{r-1} + double tmp=value*2*(q_degree-1); + for (unsigned int i=0; i &derivative_2 = *reinterpret_cast*>(&derivative); + + double v [dim+1][3]; + { + for (unsigned int c=0; c=2) + { + double tmp = 2*(q_degree-1); + for (unsigned int i=0; i=3) + { + double tmp=4*(q_degree-2)*(q_degree-1); + for (unsigned int i=0; i grad_grad_1; + for (unsigned int d1=0; d1 grad_grad_2; + Tensor<2,dim> grad_grad_3; + for (unsigned int d=0; d &unit_point, std::vector &values, std::vector > &grads, - std::vector > &grad_grads) const; + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const; /** * Computes the value of the ith tensor product polynomial at @@ -93,6 +95,22 @@ public: double compute_value (const unsigned int i, const Point &p) const; + /** + * Computes the order @tparam order derivative of the ith tensor + * product polynomial at unit_point. Here i is given in + * tensor product numbering. + * + * Note, that using this function within a loop over all tensor product + * polynomials is not efficient, because then each derivative value of the + * underlying (one-dimensional) polynomials is (unnecessarily) computed + * several times. Instead use the compute() function, see above, with + * the size of the appropriate parameter set to n() to get the point value + * of all tensor polynomials all at once and in a much more efficient way. + */ + template + Tensor compute_derivative (const unsigned int i, + const Point &p) const; + /** * Computes the grad of the ith tensor product polynomial at * unit_point. Here i is given in tensor product @@ -170,6 +188,23 @@ TensorProductPolynomialsConst<0>::n() const return numbers::invalid_unsigned_int; } +template +template +Tensor +TensorProductPolynomialsConst::compute_derivative (const unsigned int i, + const Point &p) const +{ + const unsigned int max_indices = this->n_tensor_pols; + Assert (i<=max_indices, ExcInternalError()); + + // treat the regular basis functions + if (iTensorProductPolynomials::template compute_derivative(i,p); + else + // this is for the constant function + return Tensor(); +} + #endif // DOXYGEN DEAL_II_NAMESPACE_CLOSE diff --git a/include/deal.II/fe/fe.h b/include/deal.II/fe/fe.h index e03f840ff3..d24f96272a 100644 --- a/include/deal.II/fe/fe.h +++ b/include/deal.II/fe/fe.h @@ -773,6 +773,62 @@ public: virtual Tensor<2,dim> shape_grad_grad_component (const unsigned int i, const Point &p, const unsigned int component) const; + + /** + * Return the tensor of third derivatives of the @p ith shape function at + * point @p p on the unit cell. The derivatives are derivatives on the unit + * cell with respect to unit cell coordinates. If the finite element is + * vector-valued, then return the value of the only non-zero component of + * the vector value of this shape function. If the shape function has more + * than one non-zero component (which we refer to with the term non- + * primitive), then derived classes implementing this function should throw + * an exception of type ExcShapeFunctionNotPrimitive. In that case, use the + * shape_grad_grad_component() function. + * + * An ExcUnitShapeValuesDoNotExist is thrown if the shape values of the + * FiniteElement under consideration depends on the shape of the cell in + * real space. + */ + virtual Tensor<3,dim> shape_3rd_derivative (const unsigned int i, + const Point &p) const; + + /** + * Just like for shape_3rd_derivative(), but this function will be called when + * the shape function has more than one non-zero vector component. In that + * case, this function should return the gradient of the @p component-th + * vector component of the @p ith shape function at point @p p. + */ + virtual Tensor<3,dim> shape_3rd_derivative_component (const unsigned int i, + const Point &p, + const unsigned int component) const; + + /** + * Return the tensor of fourth derivatives of the @p ith shape function at + * point @p p on the unit cell. The derivatives are derivatives on the unit + * cell with respect to unit cell coordinates. If the finite element is + * vector-valued, then return the value of the only non-zero component of + * the vector value of this shape function. If the shape function has more + * than one non-zero component (which we refer to with the term non- + * primitive), then derived classes implementing this function should throw + * an exception of type ExcShapeFunctionNotPrimitive. In that case, use the + * shape_grad_grad_component() function. + * + * An ExcUnitShapeValuesDoNotExist is thrown if the shape values of the + * FiniteElement under consideration depends on the shape of the cell in + * real space. + */ + virtual Tensor<4,dim> shape_4th_derivative (const unsigned int i, + const Point &p) const; + + /** + * Just like for shape_4th_derivative(), but this function will be called when + * the shape function has more than one non-zero vector component. In that + * case, this function should return the gradient of the @p component-th + * vector component of the @p ith shape function at point @p p. + */ + virtual Tensor<4,dim> shape_4th_derivative_component (const unsigned int i, + const Point &p, + const unsigned int component) const; /** * This function returns @p true, if the shape function @p shape_index has * non-zero function values somewhere on the face @p face_index. The diff --git a/include/deal.II/fe/fe_poly.h b/include/deal.II/fe/fe_poly.h index 410327cfca..0e2916fd84 100644 --- a/include/deal.II/fe/fe_poly.h +++ b/include/deal.II/fe/fe_poly.h @@ -162,6 +162,50 @@ public: const Point &p, const unsigned int component) const; + /** + * Return the tensor of third derivatives of the ith shape + * function at point p on the unit cell. See the FiniteElement base + * class for more information about the semantics of this function. + */ + virtual Tensor<3,dim> shape_3rd_derivative (const unsigned int i, + const Point &p) const; + + /** + * Return the third derivative of the componentth vector component + * of the ith shape function at the point p. See the + * FiniteElement base class for more information about the semantics of this + * function. + * + * Since this element is scalar, the returned value is the same as if the + * function without the _component suffix were called, provided + * that the specified component is zero. + */ + virtual Tensor<3,dim> shape_3rd_derivative_component (const unsigned int i, + const Point &p, + const unsigned int component) const; + + /** + * Return the tensor of fourth derivatives of the ith shape + * function at point p on the unit cell. See the FiniteElement base + * class for more information about the semantics of this function. + */ + virtual Tensor<4,dim> shape_4th_derivative (const unsigned int i, + const Point &p) const; + + /** + * Return the fourth derivative of the componentth vector component + * of the ith shape function at the point p. See the + * FiniteElement base class for more information about the semantics of this + * function. + * + * Since this element is scalar, the returned value is the same as if the + * function without the _component suffix were called, provided + * that the specified component is zero. + */ + virtual Tensor<4,dim> shape_4th_derivative_component (const unsigned int i, + const Point &p, + const unsigned int component) const; + protected: /* * NOTE: The following function has its definition inlined into the class declaration @@ -194,6 +238,8 @@ protected: std::vector values(0); std::vector > grads(0); std::vector > grad_grads(0); + std::vector > third_derivatives(0); + std::vector > fourth_derivatives(0); // initialize fields only if really // necessary. otherwise, don't @@ -235,7 +281,7 @@ protected: for (unsigned int i=0; idofs_per_cell; ++k) diff --git a/include/deal.II/fe/fe_poly.templates.h b/include/deal.II/fe/fe_poly.templates.h index 63d0184474..a9ac62087a 100644 --- a/include/deal.II/fe/fe_poly.templates.h +++ b/include/deal.II/fe/fe_poly.templates.h @@ -77,7 +77,7 @@ FE_Poly::shape_grad (const unsigned int i, const Point &p) const { Assert (idofs_per_cell, ExcIndexRange(i,0,this->dofs_per_cell)); - return poly_space.compute_grad(i, p); + return poly_space.template compute_derivative<1>(i, p); } @@ -91,7 +91,7 @@ FE_Poly::shape_grad_component (const unsigned int i, (void)component; Assert (idofs_per_cell, ExcIndexRange(i,0,this->dofs_per_cell)); Assert (component == 0, ExcIndexRange (component, 0, 1)); - return poly_space.compute_grad(i, p); + return poly_space.template compute_derivative<1>(i, p); } @@ -102,7 +102,7 @@ FE_Poly::shape_grad_grad (const unsigned int i, const Point &p) const { Assert (idofs_per_cell, ExcIndexRange(i,0,this->dofs_per_cell)); - return poly_space.compute_grad_grad(i, p); + return poly_space.template compute_derivative<2>(i, p); } @@ -116,7 +116,57 @@ FE_Poly::shape_grad_grad_component (const unsigned int i, (void)component; Assert (idofs_per_cell, ExcIndexRange(i,0,this->dofs_per_cell)); Assert (component == 0, ExcIndexRange (component, 0, 1)); - return poly_space.compute_grad_grad(i, p); + return poly_space.template compute_derivative<2>(i, p); +} + + + +template +Tensor<3,dim> +FE_Poly::shape_3rd_derivative (const unsigned int i, + const Point &p) const +{ + Assert (idofs_per_cell, ExcIndexRange(i,0,this->dofs_per_cell)); + return poly_space.template compute_derivative<3>(i, p); +} + + + +template +Tensor<3,dim> +FE_Poly::shape_3rd_derivative_component (const unsigned int i, + const Point &p, + const unsigned int component) const +{ + (void)component; + Assert (idofs_per_cell, ExcIndexRange(i,0,this->dofs_per_cell)); + Assert (component == 0, ExcIndexRange (component, 0, 1)); + return poly_space.template compute_derivative<3>(i, p); +} + + + +template +Tensor<4,dim> +FE_Poly::shape_4th_derivative (const unsigned int i, + const Point &p) const +{ + Assert (idofs_per_cell, ExcIndexRange(i,0,this->dofs_per_cell)); + return poly_space.template compute_derivative<4>(i, p); +} + + + +template +Tensor<4,dim> +FE_Poly::shape_4th_derivative_component (const unsigned int i, + const Point &p, + const unsigned int component) const +{ + (void)component; + Assert (idofs_per_cell, ExcIndexRange(i,0,this->dofs_per_cell)); + Assert (component == 0, ExcIndexRange (component, 0, 1)); + return poly_space.template compute_derivative<4>(i, p); } diff --git a/include/deal.II/fe/fe_poly_face.h b/include/deal.II/fe/fe_poly_face.h index 0dadbca149..697d5e801c 100644 --- a/include/deal.II/fe/fe_poly_face.h +++ b/include/deal.II/fe/fe_poly_face.h @@ -115,6 +115,8 @@ protected: std::vector values(0); std::vector > grads(0); std::vector > grad_grads(0); + std::vector > empty_vector_of_3rd_order_tensors; + std::vector > empty_vector_of_4th_order_tensors; // initialize fields only if really // necessary. otherwise, don't @@ -127,7 +129,9 @@ protected: for (unsigned int i=0; ishape_values[k][i] = values[k]; diff --git a/include/deal.II/fe/fe_poly_tensor.h b/include/deal.II/fe/fe_poly_tensor.h index 157466d855..8e0787a809 100644 --- a/include/deal.II/fe/fe_poly_tensor.h +++ b/include/deal.II/fe/fe_poly_tensor.h @@ -204,6 +204,8 @@ protected: std::vector > values(0); std::vector > grads(0); std::vector > grad_grads(0); + std::vector > third_derivatives(0); + std::vector > fourth_derivatives(0); data->sign_change.resize (this->dofs_per_cell); @@ -258,7 +260,9 @@ protected: for (unsigned int k=0; k &p, const unsigned int component) const; + /** + * Return the tensor of third derivatives of the @p ith shape function at + * point @p p on the unit cell. The derivatives are derivatives on the unit + * cell with respect to unit cell coordinates. Since this finite element is + * always vector-valued, we return the value of the only non-zero component + * of the vector value of this shape function. If the shape function has + * more than one non-zero component (which we refer to with the term non- + * primitive), then throw an exception of type @p + * ExcShapeFunctionNotPrimitive. + * + * An @p ExcUnitShapeValuesDoNotExist is thrown if the shape values of the + * @p FiniteElement (corresponding to the @p ith shape function) depend on + * the shape of the cell in real space. + */ + virtual Tensor<3,dim> shape_3rd_derivative (const unsigned int i, + const Point &p) const; + + /** + * Return the third derivatives of the @p componentth vector component of + * the @p ith shape function at the point @p p. See the FiniteElement base + * class for more information about the semantics of this function. + * + * Since this element is vector valued in general, it relays the computation + * of these values to the base elements. + */ + virtual Tensor<3,dim> shape_3rd_derivative_component (const unsigned int i, + const Point &p, + const unsigned int component) const; + + /** + * Return the tensor of fourth derivatives of the @p ith shape function at + * point @p p on the unit cell. The derivatives are derivatives on the unit + * cell with respect to unit cell coordinates. Since this finite element is + * always vector-valued, we return the value of the only non-zero component + * of the vector value of this shape function. If the shape function has + * more than one non-zero component (which we refer to with the term non- + * primitive), then throw an exception of type @p + * ExcShapeFunctionNotPrimitive. + * + * An @p ExcUnitShapeValuesDoNotExist is thrown if the shape values of the + * @p FiniteElement (corresponding to the @p ith shape function) depend on + * the shape of the cell in real space. + */ + virtual Tensor<4,dim> shape_4th_derivative (const unsigned int i, + const Point &p) const; + + /** + * Return the fourth derivatives of the @p componentth vector component of + * the @p ith shape function at the point @p p. See the FiniteElement base + * class for more information about the semantics of this function. + * + * Since this element is vector valued in general, it relays the computation + * of these values to the base elements. + */ + virtual Tensor<4,dim> shape_4th_derivative_component (const unsigned int i, + const Point &p, + const unsigned int component) const; + /** * Return the matrix interpolating from the given finite element to the * present one. The size of the matrix is then @p dofs_per_cell times diff --git a/include/deal.II/fe/fe_update_flags.h b/include/deal.II/fe/fe_update_flags.h index 7f37418263..67b43b00dc 100644 --- a/include/deal.II/fe/fe_update_flags.h +++ b/include/deal.II/fe/fe_update_flags.h @@ -208,7 +208,30 @@ enum UpdateFlags */ update_support_inverse_jacobians = 0x40000, /** - * @deprecated Use #update_quadrature_points instead. + * Compute the derivatives of the Jacobian of the transformation pushed + * forward to the real cell coordinates. + */ + update_jacobian_pushed_forward_grads = 0x80000, + /** + * Compute the second derivatives of the Jacobian of the transformation. + */ + update_jacobian_2nd_derivatives = 0x100000, + /** + * Compute the second derivatives of the Jacobian of the transformation + * pushed forward to the real cell coordinates. + */ + update_jacobian_pushed_forward_2nd_derivatives = 0x200000, + /** + * Compute the third derivatives of the Jacobian of the transformation. + */ + update_jacobian_3rd_derivatives = 0x400000, + /** + * Compute the third derivatives of the Jacobian of the transformation + * pushed forward to the real cell coordinates. + */ + update_jacobian_pushed_forward_3rd_derivatives = 0x800000, + /** + * @deprecated Update quadrature points */ update_q_points = update_quadrature_points, /** @@ -233,22 +256,27 @@ inline STREAM &operator << (STREAM &s, UpdateFlags u) { s << " UpdateFlags|"; - if (u & update_values) s << "values|"; - if (u & update_gradients) s << "gradients|"; - if (u & update_hessians) s << "hessians|"; - if (u & update_quadrature_points) s << "quadrature_points|"; - if (u & update_JxW_values) s << "JxW_values|"; - if (u & update_normal_vectors) s << "normal_vectors|"; - if (u & update_jacobians) s << "jacobians|"; - if (u & update_inverse_jacobians) s << "inverse_jacobians|"; - if (u & update_jacobian_grads) s << "jacobian_grads|"; - if (u & update_covariant_transformation) s << "covariant_transformation|"; - if (u & update_contravariant_transformation) s << "contravariant_transformation|"; - if (u & update_transformation_values) s << "transformation_values|"; - if (u & update_transformation_gradients) s << "transformation_gradients|"; - if (u & update_support_points) s << "support_points|"; - if (u & update_support_jacobians) s << "support_jacobians|"; - if (u & update_support_inverse_jacobians) s << "support_inverse_jacobians|"; + if (u & update_values) s << "values|"; + if (u & update_gradients) s << "gradients|"; + if (u & update_hessians) s << "hessians|"; + if (u & update_quadrature_points) s << "quadrature_points|"; + if (u & update_JxW_values) s << "JxW_values|"; + if (u & update_normal_vectors) s << "normal_vectors|"; + if (u & update_jacobians) s << "jacobians|"; + if (u & update_inverse_jacobians) s << "inverse_jacobians|"; + if (u & update_jacobian_grads) s << "jacobian_grads|"; + if (u & update_covariant_transformation) s << "covariant_transformation|"; + if (u & update_contravariant_transformation) s << "contravariant_transformation|"; + if (u & update_transformation_values) s << "transformation_values|"; + if (u & update_transformation_gradients) s << "transformation_gradients|"; + if (u & update_support_points) s << "support_points|"; + if (u & update_support_jacobians) s << "support_jacobians|"; + if (u & update_support_inverse_jacobians) s << "support_inverse_jacobians|"; + if (u & update_jacobian_pushed_forward_grads) s << "jacobian_pushed_forward_grads|"; + if (u & update_jacobian_2nd_derivatives) s << "jacobian_2nd_derivatives|"; + if (u & update_jacobian_pushed_forward_2nd_derivatives) s << "jacobian_pushed_forward_2nd_derivatives|"; + if (u &update_jacobian_3rd_derivatives) s << "jacobian_3rd_derivatives|"; + if (u & update_jacobian_pushed_forward_3rd_derivatives) s << "jacobian_pushed_forward_3rd_derivatives|"; //TODO: check that 'u' really only has the flags set that are handled above return s; @@ -411,6 +439,37 @@ namespace internal */ std::vector > inverse_jacobians; + /** + * Array of the derivatives of the Jacobian matrices at the + * quadrature points, pushed forward to the real cell coordinates. + */ + std::vector > jacobian_pushed_forward_grads; + + /** + * Array of the second derivatives of the Jacobian matrices at the + * quadrature points. + */ + std::vector > jacobian_2nd_derivatives; + + /** + * Array of the second derivatives of the Jacobian matrices at the + * quadrature points, pushed forward to the real cell coordinates. + */ + std::vector > jacobian_pushed_forward_2nd_derivatives; + + /** + * Array of the third derivatives of the Jacobian matrices at the + * quadrature points. + */ + std::vector > jacobian_3rd_derivatives; + + /** + * Array of the third derivatives of the Jacobian matrices at the + * quadrature points, pushed forward to the real cell coordinates. + + */ + std::vector > jacobian_pushed_forward_3rd_derivatives; + /** * Array of quadrature points. This array is set up upon calling reinit() * and contains the quadrature points on the real element, rather than on @@ -486,6 +545,11 @@ namespace internal */ typedef std::vector > > HessianVector; + /** + * And the same also applies to the third order derivatives. + */ + typedef std::vector > > ThirdDerivativeVector; + /** * Store the values of the shape functions at the quadrature points. See the * description of the data type for the layout of the data in this field. @@ -506,6 +570,13 @@ namespace internal */ HessianVector shape_hessians; + /** + * Store the 3nd derivatives of the shape functions at the quadrature + * points. See the description of the data type for the layout of the data + * in this field. + */ + ThirdDerivativeVector shape_3rd_derivatives; + /** * When asked for the value (or gradient, or Hessian) of shape function i's * c-th vector component, we need to look it up in the #shape_values, diff --git a/include/deal.II/fe/fe_values.h b/include/deal.II/fe/fe_values.h index 58735387c6..7e39b1961b 100644 --- a/include/deal.II/fe/fe_values.h +++ b/include/deal.II/fe/fe_values.h @@ -2064,6 +2064,94 @@ public: */ const std::vector > &get_jacobian_grads () const; + /** + * Return the second derivative of the transformation from unit to real + * cell, i.e. the first derivative of the Jacobian, at the specified + * quadrature point, pushed forward to the real cell coordinates, i.e. + * $G_{ijk}=dJ_{iJ}/d\hat x_K (J_{jJ})^{-1} (J_{kK})^{-1}$. + * + * @dealiiRequiresUpdateFlags{update_jacobian_pushed_forward_grads} + */ + const Tensor<3,spacedim> &jacobian_pushed_forward_grad (const unsigned int quadrature_point) const; + + /** + * Return a reference to the array holding the values returned by + * jacobian_pushed_forward_grads(). + * + * @dealiiRequiresUpdateFlags{update_jacobian_pushed_forward_grads} + */ + const std::vector > &get_jacobian_pushed_forward_grads () const; + + /** + * Return the third derivative of the transformation from unit to real + * cell, i.e. the second derivative of the Jacobian, at the specified + * quadrature point, i.e. $G_{ijkl}=\frac{d^2J_{ij}}{d\hat x_k d\hat x_l}$. + * + * @dealiiRequiresUpdateFlags{update_jacobian_2nd_derivatives} + */ + const DerivativeForm<3,dim,spacedim> &jacobian_2nd_derivative (const unsigned int quadrature_point) const; + + /** + * Return a reference to the array holding the values returned by + * jacobian_2nd_derivatives(). + * + * @dealiiRequiresUpdateFlags{update_jacobian_2nd_derivatives} + */ + const std::vector > &get_jacobian_2nd_derivatives () const; + + /** + * Return the third derivative of the transformation from unit to real + * cell, i.e. the second derivative of the Jacobian, at the specified + * quadrature point, pushed forward to the real cell coordinates, i.e. + * $G_{ijkl}=\frac{d^2J_{iJ}}{d\hat x_K d\hat x_L} (J_{jJ})^{-1} (J_{kK})^{-1}(J_{lL})^{-1}$. + * + * @dealiiRequiresUpdateFlags{update_jacobian_pushed_forward_2nd_derivatives} + */ + const Tensor<4,spacedim> &jacobian_pushed_forward_2nd_derivative (const unsigned int quadrature_point) const; + + /** + * Return a reference to the array holding the values returned by + * jacobian_pushed_forward_2nd_derivatives(). + * + * @dealiiRequiresUpdateFlags{update_jacobian_pushed_forward_2nd_derivatives} + */ + const std::vector > &get_jacobian_pushed_forward_2nd_derivatives () const; + + /** + * Return the fourth derivative of the transformation from unit to real + * cell, i.e. the third derivative of the Jacobian, at the specified + * quadrature point, i.e. $G_{ijklm}=\frac{d^2J_{ij}}{d\hat x_k d\hat x_l d\hat x_m}$. + * + * @dealiiRequiresUpdateFlags{update_jacobian_3rd_derivatives} + */ + const DerivativeForm<4,dim,spacedim> &jacobian_3rd_derivative (const unsigned int quadrature_point) const; + + /** + * Return a reference to the array holding the values returned by + * jacobian_3rd_derivatives(). + * + * @dealiiRequiresUpdateFlags{update_jacobian_3rd_derivatives} + */ + const std::vector > &get_jacobian_3rd_derivatives () const; + + /** + * Return the fourth derivative of the transformation from unit to real + * cell, i.e. the third derivative of the Jacobian, at the specified + * quadrature point, pushed forward to the real cell coordinates, i.e. + * $G_{ijklm}=\frac{d^3J_{iJ}}{d\hat x_K d\hat x_L d\hat x_M} (J_{jJ})^{-1} (J_{kK})^{-1} (J_{lL})^{-1} (J_{mM})^{-1}$. + * + * @dealiiRequiresUpdateFlags{update_jacobian_pushed_forward_3rd_derivatives} + */ + const Tensor<5,spacedim> &jacobian_pushed_forward_3rd_derivative (const unsigned int quadrature_point) const; + + /** + * Return a reference to the array holding the values returned by + * jacobian_pushed_forward_3rd_derivatives(). + * + * @dealiiRequiresUpdateFlags{update_jacobian_pushed_forward_2nd_derivatives} + */ + const std::vector > &get_jacobian_pushed_forward_3rd_derivatives () const; + /** * Return the inverse Jacobian of the transformation at the specified * quadrature point, i.e. $J_{ij}=d\hat x_i/dx_j$ @@ -3951,6 +4039,125 @@ FEValuesBase::get_jacobian_grads () const +template +inline +const Tensor<3,spacedim> & +FEValuesBase::jacobian_pushed_forward_grad (const unsigned int i) const +{ + Assert (this->update_flags & update_jacobian_pushed_forward_grads, + ExcAccessToUninitializedField("update_jacobian_pushed_forward_grads")); + return this->mapping_output.jacobian_pushed_forward_grads[i]; +} + + + +template +inline +const std::vector > & +FEValuesBase::get_jacobian_pushed_forward_grads () const +{ + Assert (this->update_flags & update_jacobian_pushed_forward_grads, + ExcAccessToUninitializedField("update_jacobian_pushed_forward_grads")); + return this->mapping_output.jacobian_pushed_forward_grads; +} + + + +template +inline +const DerivativeForm<3,dim,spacedim> & +FEValuesBase::jacobian_2nd_derivative (const unsigned int i) const +{ + Assert (this->update_flags & update_jacobian_2nd_derivatives, + ExcAccessToUninitializedField("update_jacobian_2nd_derivatives")); + return this->mapping_output.jacobian_2nd_derivatives[i]; +} + + + +template +inline +const std::vector > & +FEValuesBase::get_jacobian_2nd_derivatives () const +{ + Assert (this->update_flags & update_jacobian_2nd_derivatives, + ExcAccessToUninitializedField("update_jacobian_2nd_derivatives")); + return this->mapping_output.jacobian_2nd_derivatives; +} + + + +template +inline +const Tensor<4,spacedim> & +FEValuesBase::jacobian_pushed_forward_2nd_derivative (const unsigned int i) const +{ + Assert (this->update_flags & update_jacobian_pushed_forward_2nd_derivatives, + ExcAccessToUninitializedField("update_jacobian_pushed_forward_2nd_derivatives")); + return this->mapping_output.jacobian_pushed_forward_2nd_derivatives[i]; +} + + + +template +inline +const std::vector > & +FEValuesBase::get_jacobian_pushed_forward_2nd_derivatives () const +{ + Assert (this->update_flags & update_jacobian_pushed_forward_2nd_derivatives, + ExcAccessToUninitializedField("update_jacobian_pushed_forward_2nd_derivatives")); + return this->mapping_output.jacobian_pushed_forward_2nd_derivatives; +} + + + +template +inline +const DerivativeForm<4,dim,spacedim> & +FEValuesBase::jacobian_3rd_derivative (const unsigned int i) const +{ + Assert (this->update_flags & update_jacobian_3rd_derivatives, + ExcAccessToUninitializedField("update_jacobian_3rd_derivatives")); + return this->mapping_output.jacobian_3rd_derivatives[i]; +} + + + +template +inline +const std::vector > & +FEValuesBase::get_jacobian_3rd_derivatives () const +{ + Assert (this->update_flags & update_jacobian_3rd_derivatives, + ExcAccessToUninitializedField("update_jacobian_3rd_derivatives")); + return this->mapping_output.jacobian_3rd_derivatives; +} + + + +template +inline +const Tensor<5,spacedim> & +FEValuesBase::jacobian_pushed_forward_3rd_derivative (const unsigned int i) const +{ + Assert (this->update_flags & update_jacobian_pushed_forward_3rd_derivatives, + ExcAccessToUninitializedField("update_jacobian_pushed_forward_3rd_derivatives")); + return this->mapping_output.jacobian_pushed_forward_3rd_derivatives[i]; +} + + + +template +inline +const std::vector > & +FEValuesBase::get_jacobian_pushed_forward_3rd_derivatives () const +{ + Assert (this->update_flags & update_jacobian_pushed_forward_3rd_derivatives, + ExcAccessToUninitializedField("update_jacobian_pushed_forward_3rd_derivatives")); + return this->mapping_output.jacobian_pushed_forward_3rd_derivatives; +} + + template inline const std::vector > & diff --git a/include/deal.II/fe/mapping_fe_field.h b/include/deal.II/fe/mapping_fe_field.h index 85cbfe41fb..6f2b106c5a 100644 --- a/include/deal.II/fe/mapping_fe_field.h +++ b/include/deal.II/fe/mapping_fe_field.h @@ -289,6 +289,30 @@ public: Tensor<2,dim> &second_derivative (const unsigned int qpoint, const unsigned int shape_nr); + /** + * Third derivative of shape function in quadrature point. See above. + */ + const Tensor<3,dim> &third_derivative (const unsigned int qpoint, + const unsigned int shape_nr) const; + + /** + * Fourth derivative of shape function in quadrature point. See above. + */ + Tensor<3,dim> &third_derivative (const unsigned int qpoint, + const unsigned int shape_nr); + + /** + * Fourth derivative of shape function in quadrature point. See above. + */ + const Tensor<4,dim> &fourth_derivative (const unsigned int qpoint, + const unsigned int shape_nr) const; + + /** + * Third derivative of shape function in quadrature point. See above. + */ + Tensor<4,dim> &fourth_derivative (const unsigned int qpoint, + const unsigned int shape_nr); + /** * Return an estimate (in bytes) or the memory consumption of this object. */ @@ -316,6 +340,22 @@ public: */ std::vector > shape_second_derivatives; + /** + * Values of shape function third derivatives. Access by function @p + * third_derivative. + * + * Computed once. + */ + std::vector > shape_third_derivatives; + + /** + * Values of shape function fourth derivatives. Access by function @p + * fourth_derivative. + * + * Computed once. + */ + std::vector > shape_fourth_derivatives; + /** * Unit tangential vectors. Used for the computation of boundary forms and * normal vectors. diff --git a/include/deal.II/fe/mapping_q1.h b/include/deal.II/fe/mapping_q1.h index 48b9d00ffb..e09340b9ef 100644 --- a/include/deal.II/fe/mapping_q1.h +++ b/include/deal.II/fe/mapping_q1.h @@ -220,6 +220,30 @@ public: Tensor<2,dim> &second_derivative (const unsigned int qpoint, const unsigned int shape_nr); + /** + * third derivative of shape function in quadrature point. See above. + */ + const Tensor<3,dim> &third_derivative (const unsigned int qpoint, + const unsigned int shape_nr) const; + + /** + * third derivative of shape function in quadrature point. See above. + */ + Tensor<3,dim> &third_derivative (const unsigned int qpoint, + const unsigned int shape_nr); + + /** + * fourth derivative of shape function in quadrature point. See above. + */ + const Tensor<4,dim> &fourth_derivative (const unsigned int qpoint, + const unsigned int shape_nr) const; + + /** + * fourth derivative of shape function in quadrature point. See above. + */ + Tensor<4,dim> &fourth_derivative (const unsigned int qpoint, + const unsigned int shape_nr); + /** * Return an estimate (in bytes) or the memory consumption of this object. */ @@ -247,6 +271,22 @@ public: */ std::vector > shape_second_derivatives; + /** + * Values of shape function third derivatives. Access by function @p + * second_derivative. + * + * Computed once. + */ + std::vector > shape_third_derivatives; + + /** + * Values of shape function fourth derivatives. Access by function @p + * second_derivative. + * + * Computed once. + */ + std::vector > shape_fourth_derivatives; + /** * Unit tangential vectors. Used for the computation of boundary forms and * normal vectors. @@ -613,7 +653,6 @@ MappingQ1::InternalData::second_derivative (const unsigned int qpo } - template inline Tensor<2,dim> & @@ -626,6 +665,57 @@ MappingQ1::InternalData::second_derivative (const unsigned int qpo return shape_second_derivatives [qpoint*n_shape_functions + shape_nr]; } +template +inline +const Tensor<3,dim> & +MappingQ1::InternalData::third_derivative (const unsigned int qpoint, + const unsigned int shape_nr) const +{ + Assert(qpoint*n_shape_functions + shape_nr < shape_third_derivatives.size(), + ExcIndexRange(qpoint*n_shape_functions + shape_nr, 0, + shape_third_derivatives.size())); + return shape_third_derivatives [qpoint*n_shape_functions + shape_nr]; +} + + +template +inline +Tensor<3,dim> & +MappingQ1::InternalData::third_derivative (const unsigned int qpoint, + const unsigned int shape_nr) +{ + Assert(qpoint*n_shape_functions + shape_nr < shape_third_derivatives.size(), + ExcIndexRange(qpoint*n_shape_functions + shape_nr, 0, + shape_third_derivatives.size())); + return shape_third_derivatives [qpoint*n_shape_functions + shape_nr]; +} + + +template +inline +const Tensor<4,dim> & +MappingQ1::InternalData::fourth_derivative (const unsigned int qpoint, + const unsigned int shape_nr) const +{ + Assert(qpoint*n_shape_functions + shape_nr < shape_fourth_derivatives.size(), + ExcIndexRange(qpoint*n_shape_functions + shape_nr, 0, + shape_fourth_derivatives.size())); + return shape_fourth_derivatives [qpoint*n_shape_functions + shape_nr]; +} + + +template +inline +Tensor<4,dim> & +MappingQ1::InternalData::fourth_derivative (const unsigned int qpoint, + const unsigned int shape_nr) +{ + Assert(qpoint*n_shape_functions + shape_nr < shape_fourth_derivatives.size(), + ExcIndexRange(qpoint*n_shape_functions + shape_nr, 0, + shape_fourth_derivatives.size())); + return shape_fourth_derivatives [qpoint*n_shape_functions + shape_nr]; +} + template diff --git a/source/base/polynomial_space.cc b/source/base/polynomial_space.cc index 9185a8301c..5857231920 100644 --- a/source/base/polynomial_space.cc +++ b/source/base/polynomial_space.cc @@ -211,14 +211,14 @@ PolynomialSpace::compute_grad_grad (const unsigned int i, } - - template void PolynomialSpace::compute (const Point &p, std::vector &values, std::vector > &grads, - std::vector > &grad_grads) const + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const { const unsigned int n_1d=polynomials.size(); @@ -228,9 +228,14 @@ PolynomialSpace::compute (const Point &p, ExcDimensionMismatch2(grads.size(), n_pols, 0)); Assert(grad_grads.size()==n_pols|| grad_grads.size()==0, ExcDimensionMismatch2(grad_grads.size(), n_pols, 0)); + Assert(third_derivatives.size()==n_pols|| third_derivatives.size()==0, + ExcDimensionMismatch2(third_derivatives.size(), n_pols, 0)); + Assert(fourth_derivatives.size()==n_pols|| fourth_derivatives.size()==0, + ExcDimensionMismatch2(fourth_derivatives.size(), n_pols, 0)); unsigned int v_size=0; bool update_values=false, update_grads=false, update_grad_grads=false; + bool update_3rd_derivatives=false, update_4th_derivatives=false; if (values.size()==n_pols) { update_values=true; @@ -246,6 +251,16 @@ PolynomialSpace::compute (const Point &p, update_grad_grads=true; v_size=3; } + if (third_derivatives.size()==n_pols) + { + update_3rd_derivatives=true; + v_size=4; + } + if (fourth_derivatives.size()==n_pols) + { + update_4th_derivatives=true; + v_size=5; + } // Store data in a single // object. Access is by @@ -319,6 +334,72 @@ PolynomialSpace::compute (const Point &p, } } } + + if (update_3rd_derivatives) + { + unsigned int k = 0; + + for (unsigned int iz=0; iz<((dim>2) ? n_1d : 1); ++iz) + for (unsigned int iy=0; iy<((dim>1) ? n_1d-iz : 1); ++iy) + for (unsigned int ix=0; ix deriv_order (dim, 0); + for (unsigned int x=0; x1) ? v[1][iy][deriv_order[1]] : 1.) + * ((dim>2) ? v[2][iz][deriv_order[2]] : 1.); + } + } + } + + if (update_4th_derivatives) + { + unsigned int k = 0; + + for (unsigned int iz=0; iz<((dim>2) ? n_1d : 1); ++iz) + for (unsigned int iy=0; iy<((dim>1) ? n_1d-iz : 1); ++iy) + for (unsigned int ix=0; ix deriv_order (dim, 0); + for (unsigned int x=0; x1) ? v[1][iy][deriv_order[1]] : 1.) + * ((dim>2) ? v[2][iz][deriv_order[2]] : 1.); + } + } + } } diff --git a/source/base/polynomials_abf.cc b/source/base/polynomials_abf.cc index 94bdff8e70..d17236532f 100644 --- a/source/base/polynomials_abf.cc +++ b/source/base/polynomials_abf.cc @@ -53,7 +53,9 @@ void PolynomialsABF::compute (const Point &unit_point, std::vector > &values, std::vector > &grads, - std::vector > &grad_grads) const + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const { Assert(values.size()==n_pols || values.size()==0, ExcDimensionMismatch(values.size(), n_pols)); @@ -61,6 +63,10 @@ PolynomialsABF::compute (const Point &unit_point, ExcDimensionMismatch(grads.size(), n_pols)); Assert(grad_grads.size()==n_pols|| grad_grads.size()==0, ExcDimensionMismatch(grad_grads.size(), n_pols)); + Assert(third_derivatives.size()==n_pols|| third_derivatives.size()==0, + ExcDimensionMismatch(third_derivatives.size(), n_pols)); + Assert(fourth_derivatives.size()==n_pols|| fourth_derivatives.size()==0, + ExcDimensionMismatch(fourth_derivatives.size(), n_pols)); const unsigned int n_sub = polynomial_space->n(); // guard access to the scratch @@ -73,6 +79,8 @@ PolynomialsABF::compute (const Point &unit_point, p_values.resize((values.size() == 0) ? 0 : n_sub); p_grads.resize((grads.size() == 0) ? 0 : n_sub); p_grad_grads.resize((grad_grads.size() == 0) ? 0 : n_sub); + p_third_derivatives.resize((third_derivatives.size() == 0) ? 0 : n_sub); + p_fourth_derivatives.resize((fourth_derivatives.size() == 0) ? 0 : n_sub); for (unsigned int d=0; d::compute (const Point &unit_point, for (unsigned int c=0; ccompute (p, p_values, p_grads, p_grad_grads); + polynomial_space->compute (p, p_values, p_grads, p_grad_grads, + p_third_derivatives, p_fourth_derivatives); for (unsigned int i=0; i::compute (const Point &unit_point, for (unsigned int d2=0; d2::compute (const Point &unit_point, std::vector > &values, std::vector > &grads, - std::vector > &grad_grads) const + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const { Assert(values.size()==n_pols || values.size()==0, ExcDimensionMismatch(values.size(), n_pols)); @@ -63,6 +65,18 @@ PolynomialsBDM::compute (const Point &unit_point, ExcDimensionMismatch(grads.size(), n_pols)); Assert(grad_grads.size()==n_pols|| grad_grads.size()==0, ExcDimensionMismatch(grad_grads.size(), n_pols)); + Assert(third_derivatives.size()==n_pols|| third_derivatives.size()==0, + ExcDimensionMismatch(third_derivatives.size(), n_pols)); + Assert(fourth_derivatives.size()==n_pols|| fourth_derivatives.size()==0, + ExcDimensionMismatch(fourth_derivatives.size(), n_pols)); + + // third and fourth derivatives not implemented + (void)third_derivatives; + Assert(third_derivatives.size()==0, + ExcNotImplemented()); + (void)fourth_derivatives; + Assert(fourth_derivatives.size()==0, + ExcNotImplemented()); const unsigned int n_sub = polynomial_space.n(); @@ -83,7 +97,8 @@ PolynomialsBDM::compute (const Point &unit_point, // will have first all polynomials // in the x-component, then y and // z. - polynomial_space.compute (unit_point, p_values, p_grads, p_grad_grads); + polynomial_space.compute (unit_point, p_values, p_grads, p_grad_grads, + p_third_derivatives, p_fourth_derivatives); std::fill(values.begin(), values.end(), Tensor<1,dim>()); for (unsigned int i=0; i::compute (const Point &unit_point, std::vector > &values, std::vector > &grads, - std::vector > &grad_grads) -const + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const { Assert(values.size () == n_pols || values.size () == 0, ExcDimensionMismatch(values.size (), n_pols)); @@ -62,6 +63,18 @@ const ExcDimensionMismatch(grads.size (), n_pols)); Assert(grad_grads.size () == n_pols || grad_grads.size () == 0, ExcDimensionMismatch(grad_grads.size (), n_pols)); + Assert(third_derivatives.size () == n_pols || third_derivatives.size () == 0, + ExcDimensionMismatch(third_derivatives.size (), n_pols)); + Assert(fourth_derivatives.size () == n_pols || fourth_derivatives.size () == 0, + ExcDimensionMismatch(fourth_derivatives.size (), n_pols)); + + // third and fourth derivatives not implemented + (void)third_derivatives; + Assert(third_derivatives.size () == 0, + ExcNotImplemented()); + (void)fourth_derivatives; + Assert(fourth_derivatives.size () == 0, + ExcNotImplemented()); // Declare the values, derivatives // and second derivatives vectors of @@ -73,13 +86,17 @@ const unit_point_grads ((grads.size () == 0) ? 0 : n_basis); std::vector > unit_point_grad_grads ((grad_grads.size () == 0) ? 0 : n_basis); + std::vector > empty_vector_of_3rd_order_tensors; + std::vector > empty_vector_of_4th_order_tensors; switch (dim) { case 1: { polynomial_space.compute (unit_point, unit_point_values, - unit_point_grads, unit_point_grad_grads); + unit_point_grads, unit_point_grad_grads, + empty_vector_of_3rd_order_tensors, + empty_vector_of_4th_order_tensors); // Assign the correct values to the // corresponding shape functions. @@ -101,7 +118,9 @@ const case 2: { polynomial_space.compute (unit_point, unit_point_values, - unit_point_grads, unit_point_grad_grads); + unit_point_grads, unit_point_grad_grads, + empty_vector_of_3rd_order_tensors, + empty_vector_of_4th_order_tensors); // Declare the values, derivatives and // second derivatives vectors of @@ -119,7 +138,9 @@ const std::vector > p_grad_grads ((grad_grads.size () == 0) ? 0 : n_basis); - polynomial_space.compute (p, p_values, p_grads, p_grad_grads); + polynomial_space.compute (p, p_values, p_grads, p_grad_grads, + empty_vector_of_3rd_order_tensors, + empty_vector_of_4th_order_tensors); // Assign the correct values to the // corresponding shape functions. @@ -278,7 +299,9 @@ const case 3: { polynomial_space.compute (unit_point, unit_point_values, - unit_point_grads, unit_point_grad_grads); + unit_point_grads, unit_point_grad_grads, + empty_vector_of_3rd_order_tensors, + empty_vector_of_4th_order_tensors); // Declare the values, derivatives // and second derivatives vectors of @@ -301,11 +324,15 @@ const p1 (0) = unit_point (1); p1 (1) = unit_point (2); p1 (2) = unit_point (0); - polynomial_space.compute (p1, p1_values, p1_grads, p1_grad_grads); + polynomial_space.compute (p1, p1_values, p1_grads, p1_grad_grads, + empty_vector_of_3rd_order_tensors, + empty_vector_of_4th_order_tensors); p2 (0) = unit_point (2); p2 (1) = unit_point (0); p2 (2) = unit_point (1); - polynomial_space.compute (p2, p2_values, p2_grads, p2_grad_grads); + polynomial_space.compute (p2, p2_values, p2_grads, p2_grad_grads, + empty_vector_of_3rd_order_tensors, + empty_vector_of_4th_order_tensors); // Assign the correct values to the // corresponding shape functions. diff --git a/source/base/polynomials_rannacher_turek.cc b/source/base/polynomials_rannacher_turek.cc index 916715477d..68a2128453 100644 --- a/source/base/polynomials_rannacher_turek.cc +++ b/source/base/polynomials_rannacher_turek.cc @@ -138,7 +138,9 @@ void PolynomialsRannacherTurek::compute( const Point &unit_point, std::vector &values, std::vector > &grads, - std::vector > &grad_grads) const + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const { const unsigned int n_pols = dealii::GeometryInfo::faces_per_cell; Assert(values.size() == n_pols || values.size() == 0, @@ -147,6 +149,10 @@ void PolynomialsRannacherTurek::compute( ExcDimensionMismatch(grads.size(), n_pols)); Assert(grad_grads.size() == n_pols || grad_grads.size() == 0, ExcDimensionMismatch(grad_grads.size(), n_pols)); + Assert(third_derivatives.size() == n_pols || third_derivatives.size() == 0, + ExcDimensionMismatch(third_derivatives.size(), n_pols)); + Assert(fourth_derivatives.size() == n_pols || fourth_derivatives.size() == 0, + ExcDimensionMismatch(fourth_derivatives.size(), n_pols)); for (unsigned int i = 0; i < n_pols; ++i) { @@ -162,6 +168,14 @@ void PolynomialsRannacherTurek::compute( { grad_grads[i] = compute_grad_grad(i, unit_point); } + if (third_derivatives.size() != 0) + { + third_derivatives[i] = compute_derivative<3>(i, unit_point); + } + if (fourth_derivatives.size() != 0) + { + fourth_derivatives[i] = compute_derivative<4>(i, unit_point); + } } } diff --git a/source/base/polynomials_raviart_thomas.cc b/source/base/polynomials_raviart_thomas.cc index 779e0f5137..1b3872a3e4 100644 --- a/source/base/polynomials_raviart_thomas.cc +++ b/source/base/polynomials_raviart_thomas.cc @@ -59,7 +59,9 @@ void PolynomialsRaviartThomas::compute (const Point &unit_point, std::vector > &values, std::vector > &grads, - std::vector > &grad_grads) const + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const { Assert(values.size()==n_pols || values.size()==0, ExcDimensionMismatch(values.size(), n_pols)); @@ -67,6 +69,10 @@ PolynomialsRaviartThomas::compute (const Point &unit_point, ExcDimensionMismatch(grads.size(), n_pols)); Assert(grad_grads.size()==n_pols|| grad_grads.size()==0, ExcDimensionMismatch(grad_grads.size(), n_pols)); + Assert(third_derivatives.size()==n_pols|| third_derivatives.size()==0, + ExcDimensionMismatch(third_derivatives.size(), n_pols)); + Assert(fourth_derivatives.size()==n_pols|| fourth_derivatives.size()==0, + ExcDimensionMismatch(fourth_derivatives.size(), n_pols)); // have a few scratch // arrays. because we don't want to @@ -87,11 +93,15 @@ PolynomialsRaviartThomas::compute (const Point &unit_point, static std::vector p_values; static std::vector > p_grads; static std::vector > p_grad_grads; + static std::vector > p_third_derivatives; + static std::vector > p_fourth_derivatives; const unsigned int n_sub = polynomial_space.n(); p_values.resize((values.size() == 0) ? 0 : n_sub); p_grads.resize((grads.size() == 0) ? 0 : n_sub); p_grad_grads.resize((grad_grads.size() == 0) ? 0 : n_sub); + p_third_derivatives.resize((third_derivatives.size() == 0) ? 0 : n_sub); + p_fourth_derivatives.resize((fourth_derivatives.size() == 0) ? 0 : n_sub); for (unsigned int d=0; d::compute (const Point &unit_point, for (unsigned int c=0; c::compute (const Point &unit_point, for (unsigned int d2=0; d2:: compute (const Point &p, std::vector &values, std::vector > &grads, - std::vector > &grad_grads) const + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const { Assert (values.size()==n_tensor_pols || values.size()==0, ExcDimensionMismatch2(values.size(), n_tensor_pols, 0)); @@ -245,10 +247,16 @@ compute (const Point &p, ExcDimensionMismatch2(grads.size(), n_tensor_pols, 0)); Assert (grad_grads.size()==n_tensor_pols|| grad_grads.size()==0, ExcDimensionMismatch2(grad_grads.size(), n_tensor_pols, 0)); + Assert (third_derivatives.size()==n_tensor_pols|| third_derivatives.size()==0, + ExcDimensionMismatch2(third_derivatives.size(), n_tensor_pols, 0)); + Assert (fourth_derivatives.size()==n_tensor_pols|| fourth_derivatives.size()==0, + ExcDimensionMismatch2(fourth_derivatives.size(), n_tensor_pols, 0)); const bool update_values = (values.size() == n_tensor_pols), update_grads = (grads.size()==n_tensor_pols), - update_grad_grads = (grad_grads.size()==n_tensor_pols); + update_grad_grads = (grad_grads.size()==n_tensor_pols), + update_3rd_derivatives = (third_derivatives.size()==n_tensor_pols), + update_4th_derivatives = (fourth_derivatives.size()==n_tensor_pols); // check how many // values/derivatives we have to @@ -260,6 +268,10 @@ compute (const Point &p, n_values_and_derivatives = 2; if (update_grad_grads) n_values_and_derivatives = 3; + if (update_3rd_derivatives) + n_values_and_derivatives = 4; + if (update_4th_derivatives) + n_values_and_derivatives = 5; // compute the values (and derivatives, if @@ -267,10 +279,10 @@ compute (const Point &p, // evaluation point. to avoid many // reallocation, use one std::vector for // polynomial evaluation and store the - // result as Tensor<1,3> (that has enough + // result as Tensor<1,5> (that has enough // fields for any evaluation of values and - // derivatives) - Table<2,Tensor<1,3> > v(dim, polynomials.size()); + // derivatives, up to the 4th derivative) + Table<2,Tensor<1,5> > v(dim, polynomials.size()); { std::vector tmp (n_values_and_derivatives); for (unsigned int d=0; d &p, for (unsigned int x=0; x:: compute (const Point &p, std::vector &values, std::vector > &grads, - std::vector > &grad_grads) const + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const { Assert (values.size()==n_tensor_pols || values.size()==0, ExcDimensionMismatch2(values.size(), n_tensor_pols, 0)); @@ -469,10 +517,16 @@ compute (const Point &p, ExcDimensionMismatch2(grads.size(), n_tensor_pols, 0)); Assert (grad_grads.size()==n_tensor_pols|| grad_grads.size()==0, ExcDimensionMismatch2(grad_grads.size(), n_tensor_pols, 0)); + Assert (third_derivatives.size()==n_tensor_pols|| third_derivatives.size()==0, + ExcDimensionMismatch2(third_derivatives.size(), n_tensor_pols, 0)); + Assert (fourth_derivatives.size()==n_tensor_pols|| fourth_derivatives.size()==0, + ExcDimensionMismatch2(fourth_derivatives.size(), n_tensor_pols, 0)); const bool update_values = (values.size() == n_tensor_pols), update_grads = (grads.size()==n_tensor_pols), - update_grad_grads = (grad_grads.size()==n_tensor_pols); + update_grad_grads = (grad_grads.size()==n_tensor_pols), + update_3rd_derivatives = (third_derivatives.size()==n_tensor_pols), + update_4th_derivatives = (fourth_derivatives.size()==n_tensor_pols); // check how many // values/derivatives we have to @@ -484,7 +538,10 @@ compute (const Point &p, n_values_and_derivatives = 2; if (update_grad_grads) n_values_and_derivatives = 3; - + if (update_3rd_derivatives) + n_values_and_derivatives = 4; + if (update_4th_derivatives) + n_values_and_derivatives = 5; // compute the values (and // derivatives, if necessary) of @@ -533,17 +590,51 @@ compute (const Point &p, for (unsigned int x=0; x:: compute (const Point &p, std::vector &values, std::vector > &grads, - std::vector > &grad_grads) const + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const { const unsigned int q_degree = this->polynomials.size()-1; const unsigned int max_q_indices = this->n_tensor_pols; @@ -233,8 +235,13 @@ compute (const Point &p, ExcDimensionMismatch2(grads.size(), max_q_indices+n_bubbles, 0)); Assert (grad_grads.size()==max_q_indices+n_bubbles || grad_grads.size()==0, ExcDimensionMismatch2(grad_grads.size(), max_q_indices+n_bubbles, 0)); + Assert (third_derivatives.size()==max_q_indices+n_bubbles || third_derivatives.size()==0, + ExcDimensionMismatch2(third_derivatives.size(), max_q_indices+n_bubbles, 0)); + Assert (fourth_derivatives.size()==max_q_indices+n_bubbles || fourth_derivatives.size()==0, + ExcDimensionMismatch2(fourth_derivatives.size(), max_q_indices+n_bubbles, 0)); bool do_values = false, do_grads = false, do_grad_grads = false; + bool do_3rd_derivatives = false, do_4th_derivatives = false; if (values.empty() == false) { values.resize(this->n_tensor_pols); @@ -250,8 +257,18 @@ compute (const Point &p, grad_grads.resize(this->n_tensor_pols); do_grad_grads = true; } + if (third_derivatives.empty() == false) + { + third_derivatives.resize(this->n_tensor_pols); + do_3rd_derivatives = true; + } + if (fourth_derivatives.empty() == false) + { + fourth_derivatives.resize(this->n_tensor_pols); + do_4th_derivatives = true; + } - this->TensorProductPolynomials::compute(p, values, grads, grad_grads); + this->TensorProductPolynomials::compute(p, values, grads, grad_grads, third_derivatives, fourth_derivatives); for (unsigned int i=this->n_tensor_pols; in_tensor_pols+n_bubbles; ++i) { @@ -261,6 +278,10 @@ compute (const Point &p, grads.push_back(compute_grad(i,p)); if (do_grad_grads) grad_grads.push_back(compute_grad_grad(i,p)); + if (do_3rd_derivatives) + third_derivatives.push_back(compute_derivative<3>(i,p)); + if (do_4th_derivatives) + fourth_derivatives.push_back(compute_derivative<4>(i,p)); } } diff --git a/source/base/tensor_product_polynomials_const.cc b/source/base/tensor_product_polynomials_const.cc index 107aafaeec..627f0c18cb 100644 --- a/source/base/tensor_product_polynomials_const.cc +++ b/source/base/tensor_product_polynomials_const.cc @@ -69,8 +69,6 @@ TensorProductPolynomialsConst::compute_grad (const unsigned int i, return Tensor<1,dim>(); } - - template Tensor<2,dim> TensorProductPolynomialsConst::compute_grad_grad (const unsigned int i, @@ -93,7 +91,9 @@ TensorProductPolynomialsConst:: compute (const Point &p, std::vector &values, std::vector > &grads, - std::vector > &grad_grads) const + std::vector > &grad_grads, + std::vector > &third_derivatives, + std::vector > &fourth_derivatives) const { Assert (values.size()==this->n_tensor_pols+1 || values.size()==0, ExcDimensionMismatch2(values.size(), this->n_tensor_pols+1, 0)); @@ -101,10 +101,15 @@ compute (const Point &p, ExcDimensionMismatch2(grads.size(), this->n_tensor_pols+1, 0)); Assert (grad_grads.size()==this->n_tensor_pols+1 || grad_grads.size()==0, ExcDimensionMismatch2(grad_grads.size(), this->n_tensor_pols+1, 0)); + Assert (third_derivatives.size()==this->n_tensor_pols+1 || third_derivatives.size()==0, + ExcDimensionMismatch2(third_derivatives.size(), this->n_tensor_pols+1, 0)); + Assert (fourth_derivatives.size()==this->n_tensor_pols+1 || fourth_derivatives.size()==0, + ExcDimensionMismatch2(fourth_derivatives.size(), this->n_tensor_pols+1, 0)); // remove slot for const value, go into the base class compute method and // finally append the const value again bool do_values = false, do_grads = false, do_grad_grads = false; + bool do_3rd_derivatives = false, do_4th_derivatives = false; if (values.empty() == false) { values.pop_back(); @@ -120,16 +125,30 @@ compute (const Point &p, grad_grads.pop_back(); do_grad_grads = true; } + if (third_derivatives.empty() == false) + { + third_derivatives.resize(this->n_tensor_pols); + do_3rd_derivatives = true; + } + if (fourth_derivatives.empty() == false) + { + fourth_derivatives.resize(this->n_tensor_pols); + do_4th_derivatives = true; + } - this->TensorProductPolynomials::compute(p, values, grads, grad_grads); + this->TensorProductPolynomials::compute(p, values, grads, grad_grads, third_derivatives, fourth_derivatives); - //for dgq node: values =1, grads=0, grads_grads=0 + //for dgq node: values =1, grads=0, grads_grads=0, third_derivatives=0, fourth_derivatives=0 if (do_values) values.push_back(1.); if (do_grads) grads.push_back(Tensor<1,dim>()); if (do_grad_grads) grad_grads.push_back(Tensor<2,dim>()); + if (do_3rd_derivatives) + third_derivatives.push_back(Tensor<3,dim>()); + if (do_4th_derivatives) + fourth_derivatives.push_back(Tensor<4,dim>()); } diff --git a/source/fe/fe.cc b/source/fe/fe.cc index 6401b85777..4d0c5cdd2f 100644 --- a/source/fe/fe.cc +++ b/source/fe/fe.cc @@ -322,6 +322,52 @@ FiniteElement::shape_grad_grad_component (const unsigned int, } + +template +Tensor<3,dim> +FiniteElement::shape_3rd_derivative (const unsigned int, + const Point &) const +{ + AssertThrow(false, ExcUnitShapeValuesDoNotExist()); + return Tensor<3,dim> (); +} + + + +template +Tensor<3,dim> +FiniteElement::shape_3rd_derivative_component (const unsigned int, + const Point &, + const unsigned int) const +{ + AssertThrow(false, ExcUnitShapeValuesDoNotExist()); + return Tensor<3,dim> (); +} + + + +template +Tensor<4,dim> +FiniteElement::shape_4th_derivative (const unsigned int, + const Point &) const +{ + AssertThrow(false, ExcUnitShapeValuesDoNotExist()); + return Tensor<4,dim> (); +} + + + +template +Tensor<4,dim> +FiniteElement::shape_4th_derivative_component (const unsigned int, + const Point &, + const unsigned int) const +{ + AssertThrow(false, ExcUnitShapeValuesDoNotExist()); + return Tensor<4,dim> (); +} + + template void FiniteElement::reinit_restriction_and_prolongation_matrices ( diff --git a/source/fe/fe_bdm.cc b/source/fe/fe_bdm.cc index 8b722a5cc5..2fe36b2f36 100644 --- a/source/fe/fe_bdm.cc +++ b/source/fe/fe_bdm.cc @@ -298,13 +298,16 @@ namespace PolynomialsP poly(deg); std::vector > dummy1; std::vector > dummy2; + std::vector > dummy3; + std::vector > dummy4; test_values.resize(quadrature.size()); for (unsigned int k=0; k &, std::vector values(flags & update_values ? this->dofs_per_cell : 0); std::vector > grads(flags & update_gradients ? this->dofs_per_cell : 0); std::vector > grad_grads(flags & update_hessians ? this->dofs_per_cell : 0); + std::vector > empty_vector_of_3rd_order_tensors; + std::vector > empty_vector_of_4th_order_tensors; if (flags & (update_values | update_gradients)) for (unsigned int i=0; idofs_per_cell; ++k) { if (flags & update_values) @@ -335,12 +339,16 @@ fill_fe_face_values (const Mapping &, std::vector values(flags & update_values ? this->dofs_per_cell : 0); std::vector > grads(flags & update_gradients ? this->dofs_per_cell : 0); std::vector > grad_grads(flags & update_hessians ? this->dofs_per_cell : 0); + std::vector > empty_vector_of_3rd_order_tensors; + std::vector > empty_vector_of_4th_order_tensors; if (flags & (update_values | update_gradients)) for (unsigned int i=0; idofs_per_cell; ++k) { if (flags & update_values) @@ -376,12 +384,16 @@ fill_fe_subface_values (const Mapping &, std::vector values(flags & update_values ? this->dofs_per_cell : 0); std::vector > grads(flags & update_gradients ? this->dofs_per_cell : 0); std::vector > grad_grads(flags & update_hessians ? this->dofs_per_cell : 0); + std::vector > empty_vector_of_3rd_order_tensors; + std::vector > empty_vector_of_4th_order_tensors; if (flags & (update_values | update_gradients)) for (unsigned int i=0; idofs_per_cell; ++k) { if (flags & update_values) diff --git a/source/fe/fe_poly_tensor.cc b/source/fe/fe_poly_tensor.cc index 50c8343fee..11242ad8ca 100644 --- a/source/fe/fe_poly_tensor.cc +++ b/source/fe/fe_poly_tensor.cc @@ -181,7 +181,10 @@ FE_PolyTensor::shape_value_component (const unsigned int i, { cached_point = p; cached_values.resize(poly_space.n()); - poly_space.compute(p, cached_values, cached_grads, cached_grad_grads); + + std::vector > dummy1; + std::vector > dummy2; + poly_space.compute(p, cached_values, cached_grads, cached_grad_grads, dummy1, dummy2); } double s = 0; @@ -220,7 +223,10 @@ FE_PolyTensor::shape_grad_component (const unsigned int i, { cached_point = p; cached_grads.resize(poly_space.n()); - poly_space.compute(p, cached_values, cached_grads, cached_grad_grads); + + std::vector > dummy1; + std::vector > dummy2; + poly_space.compute(p, cached_values, cached_grads, cached_grad_grads, dummy1, dummy2); } Tensor<1,dim> s; @@ -259,7 +265,10 @@ FE_PolyTensor::shape_grad_grad_component (const unsigned int { cached_point = p; cached_grad_grads.resize(poly_space.n()); - poly_space.compute(p, cached_values, cached_grads, cached_grad_grads); + + std::vector > dummy1; + std::vector > dummy2; + poly_space.compute(p, cached_values, cached_grads, cached_grad_grads, dummy1, dummy2); } Tensor<2,dim> s; diff --git a/source/fe/fe_system.cc b/source/fe/fe_system.cc index 458253c91c..2be7e80d48 100644 --- a/source/fe/fe_system.cc +++ b/source/fe/fe_system.cc @@ -486,6 +486,96 @@ FESystem::shape_grad_grad_component (const unsigned int i, +template +Tensor<3,dim> +FESystem::shape_3rd_derivative (const unsigned int i, + const Point &p) const +{ + Assert (idofs_per_cell, ExcIndexRange(i, 0, this->dofs_per_cell)); + Assert (this->is_primitive(i), + (typename FiniteElement::ExcShapeFunctionNotPrimitive(i))); + + return (base_element(this->system_to_base_table[i].first.first) + .shape_3rd_derivative(this->system_to_base_table[i].second, p)); +} + + + +template +Tensor<3,dim> +FESystem::shape_3rd_derivative_component (const unsigned int i, + const Point &p, + const unsigned int component) const +{ + Assert (idofs_per_cell, ExcIndexRange(i, 0, this->dofs_per_cell)); + Assert (component < this->n_components(), + ExcIndexRange (component, 0, this->n_components())); + + // if this value is supposed to be zero, then return right away... + if (this->nonzero_components[i][component] == false) + return Tensor<3,dim>(); + + // ...otherwise: first find out to which of the base elements this desired + // component belongs, and which component within this base element it is + const unsigned int base = this->component_to_base_index(component).first; + const unsigned int component_in_base = this->component_to_base_index(component).second; + + // then get value from base element. note that that will throw an error + // should the respective shape function not be primitive; thus, there is no + // need to check this here + return (base_element(base). + shape_3rd_derivative_component(this->system_to_base_table[i].second, + p, + component_in_base)); +} + + + +template +Tensor<4,dim> +FESystem::shape_4th_derivative (const unsigned int i, + const Point &p) const +{ + Assert (idofs_per_cell, ExcIndexRange(i, 0, this->dofs_per_cell)); + Assert (this->is_primitive(i), + (typename FiniteElement::ExcShapeFunctionNotPrimitive(i))); + + return (base_element(this->system_to_base_table[i].first.first) + .shape_4th_derivative(this->system_to_base_table[i].second, p)); +} + + + +template +Tensor<4,dim> +FESystem::shape_4th_derivative_component (const unsigned int i, + const Point &p, + const unsigned int component) const +{ + Assert (idofs_per_cell, ExcIndexRange(i, 0, this->dofs_per_cell)); + Assert (component < this->n_components(), + ExcIndexRange (component, 0, this->n_components())); + + // if this value is supposed to be zero, then return right away... + if (this->nonzero_components[i][component] == false) + return Tensor<4,dim>(); + + // ...otherwise: first find out to which of the base elements this desired + // component belongs, and which component within this base element it is + const unsigned int base = this->component_to_base_index(component).first; + const unsigned int component_in_base = this->component_to_base_index(component).second; + + // then get value from base element. note that that will throw an error + // should the respective shape function not be primitive; thus, there is no + // need to check this here + return (base_element(base). + shape_4th_derivative_component(this->system_to_base_table[i].second, + p, + component_in_base)); +} + + + template void FESystem::get_interpolation_matrix ( diff --git a/source/fe/fe_values.cc b/source/fe/fe_values.cc index 5eed179fd9..9d16fda178 100644 --- a/source/fe/fe_values.cc +++ b/source/fe/fe_values.cc @@ -2091,6 +2091,21 @@ namespace internal if (flags & update_jacobian_grads) this->jacobian_grads.resize(n_quadrature_points); + if (flags & update_jacobian_pushed_forward_grads) + this->jacobian_pushed_forward_grads.resize(n_quadrature_points); + + if (flags & update_jacobian_2nd_derivatives) + this->jacobian_2nd_derivatives.resize(n_quadrature_points); + + if (flags & update_jacobian_pushed_forward_2nd_derivatives) + this->jacobian_pushed_forward_2nd_derivatives.resize(n_quadrature_points); + + if (flags & update_jacobian_3rd_derivatives) + this->jacobian_3rd_derivatives.resize(n_quadrature_points); + + if (flags & update_jacobian_pushed_forward_3rd_derivatives) + this->jacobian_pushed_forward_3rd_derivatives.resize(n_quadrature_points); + if (flags & update_inverse_jacobians) this->inverse_jacobians.resize(n_quadrature_points); @@ -2110,6 +2125,11 @@ namespace internal return (MemoryConsumption::memory_consumption (JxW_values) + MemoryConsumption::memory_consumption (jacobians) + MemoryConsumption::memory_consumption (jacobian_grads) + + MemoryConsumption::memory_consumption (jacobian_pushed_forward_grads) + + MemoryConsumption::memory_consumption (jacobian_2nd_derivatives) + + MemoryConsumption::memory_consumption (jacobian_pushed_forward_2nd_derivatives) + + MemoryConsumption::memory_consumption (jacobian_3rd_derivatives) + + MemoryConsumption::memory_consumption (jacobian_pushed_forward_3rd_derivatives) + MemoryConsumption::memory_consumption (inverse_jacobians) + MemoryConsumption::memory_consumption (quadrature_points) + MemoryConsumption::memory_consumption (normal_vectors) + diff --git a/source/fe/mapping_cartesian.cc b/source/fe/mapping_cartesian.cc index 9a366a9c84..c2e707ab94 100644 --- a/source/fe/mapping_cartesian.cc +++ b/source/fe/mapping_cartesian.cc @@ -387,6 +387,34 @@ fill_fe_values (const typename Triangulation::cell_iterator &cell, for (unsigned int i=0; i(); + if (data.update_each & update_jacobian_pushed_forward_grads) + if (cell_similarity != CellSimilarity::translation) + for (unsigned int i=0; i(); + + // "compute" the hessian of the Jacobian + // at the quadrature points, which are all + // also zero of course + if (data.update_each & update_jacobian_2nd_derivatives) + if (cell_similarity != CellSimilarity::translation) + for (unsigned int i=0; i(); + + if (data.update_each & update_jacobian_pushed_forward_2nd_derivatives) + if (cell_similarity != CellSimilarity::translation) + for (unsigned int i=0; i(); + + if (data.update_each & update_jacobian_3rd_derivatives) + if (cell_similarity != CellSimilarity::translation) + for (unsigned int i=0; i(); + + if (data.update_each & update_jacobian_pushed_forward_3rd_derivatives) + if (cell_similarity != CellSimilarity::translation) + for (unsigned int i=0; i(); + // "compute" inverse Jacobian at the // quadrature points, which are all // the same diff --git a/source/fe/mapping_fe_field.cc b/source/fe/mapping_fe_field.cc index e2b99103bb..e0795fb756 100644 --- a/source/fe/mapping_fe_field.cc +++ b/source/fe/mapping_fe_field.cc @@ -135,6 +135,60 @@ second_derivative (const unsigned int qpoint, } +template +const Tensor<3,dim> & +MappingFEField::InternalData:: +third_derivative (const unsigned int qpoint, + const unsigned int shape_nr) const +{ + Assert(qpoint*n_shape_functions + shape_nr < shape_third_derivatives.size(), + ExcIndexRange(qpoint*n_shape_functions + shape_nr, 0, + shape_third_derivatives.size())); + return shape_third_derivatives [qpoint*n_shape_functions + shape_nr]; +} + + + +template +Tensor<3,dim> & +MappingFEField::InternalData:: +third_derivative (const unsigned int qpoint, + const unsigned int shape_nr) +{ + Assert(qpoint*n_shape_functions + shape_nr < shape_third_derivatives.size(), + ExcIndexRange(qpoint*n_shape_functions + shape_nr, 0, + shape_third_derivatives.size())); + return shape_third_derivatives [qpoint*n_shape_functions + shape_nr]; +} + + +template +const Tensor<4,dim> & +MappingFEField::InternalData:: +fourth_derivative (const unsigned int qpoint, + const unsigned int shape_nr) const +{ + Assert(qpoint*n_shape_functions + shape_nr < shape_fourth_derivatives.size(), + ExcIndexRange(qpoint*n_shape_functions + shape_nr, 0, + shape_fourth_derivatives.size())); + return shape_fourth_derivatives [qpoint*n_shape_functions + shape_nr]; +} + + + +template +Tensor<4,dim> & +MappingFEField::InternalData:: +fourth_derivative (const unsigned int qpoint, + const unsigned int shape_nr) +{ + Assert(qpoint*n_shape_functions + shape_nr < shape_fourth_derivatives.size(), + ExcIndexRange(qpoint*n_shape_functions + shape_nr, 0, + shape_fourth_derivatives.size())); + return shape_fourth_derivatives [qpoint*n_shape_functions + shape_nr]; +} + + template MappingFEField::MappingFEField (const DH &euler_dof_handler, @@ -214,6 +268,14 @@ MappingFEField::compute_shapes_virtual ( if (data.shape_second_derivatives.size()!=0) for (unsigned int i=0; ishape_grad_grad(i, unit_points[point]); + + if (data.shape_third_derivatives.size()!=0) + for (unsigned int i=0; ishape_3rd_derivative(i, unit_points[point]); + + if (data.shape_fourth_derivatives.size()!=0) + for (unsigned int i=0; ishape_4th_derivative(i, unit_points[point]); } } @@ -252,7 +314,10 @@ MappingFEField::requires_update_flags (const UpdateFlags | update_normal_vectors)) out |= update_contravariant_transformation; - if (out & (update_inverse_jacobians)) + if (out & (update_inverse_jacobians + | update_jacobian_pushed_forward_grads + | update_jacobian_pushed_forward_2nd_derivatives + | update_jacobian_pushed_forward_3rd_derivatives) ) out |= update_covariant_transformation; // The contravariant transformation @@ -312,9 +377,15 @@ MappingFEField::compute_data (const UpdateFlags upd if (data.update_each & update_volume_elements) data.volume_elements.resize(n_original_q_points); - if (data.update_each & update_jacobian_grads) + if (data.update_each & (update_jacobian_grads | update_jacobian_pushed_forward_grads) ) data.shape_second_derivatives.resize(data.n_shape_functions * n_q_points); + if (data.update_each & (update_jacobian_2nd_derivatives | update_jacobian_pushed_forward_2nd_derivatives) ) + data.shape_third_derivatives.resize(data.n_shape_functions * n_q_points); + + if (data.update_each & (update_jacobian_3rd_derivatives | update_jacobian_pushed_forward_3rd_derivatives) ) + data.shape_fourth_derivatives.resize(data.n_shape_functions * n_q_points); + compute_shapes_virtual (q.get_points(), data); } @@ -591,186 +662,536 @@ namespace internal } /** - * Depending on what information is called for in the update flags of the - * @p data object, compute the various pieces of information that is - * required by the fill_fe_face_values() and fill_fe_subface_values() - * functions. This function simply unifies the work that would be done by - * those two functions. + * Update the Hessian of the transformation from unit to real cell, the + * Jacobian gradients, pushed forward to the real cell coordinates. * - * The resulting data is put into the @p output_data argument. + * Skip the computation if possible as indicated by the first argument. */ template void - maybe_compute_face_data (const dealii::MappingFEField &mapping, - const typename dealii::Triangulation::cell_iterator &cell, - const unsigned int face_no, - const unsigned int subface_no, - const std::vector &weights, - const typename dealii::MappingFEField::InternalData &data, - internal::FEValues::MappingRelatedData &output_data) + maybe_update_jacobian_pushed_forward_grads ( + const CellSimilarity::Similarity cell_similarity, + const typename dealii::QProjector::DataSetDescriptor data_set, + const typename dealii::MappingFEField::InternalData &data, + const FiniteElement &fe, + const ComponentMask &fe_mask, + const std::vector &fe_to_real, + std::vector > &jacobian_pushed_forward_grads ) { const UpdateFlags update_flags = data.update_each; - - if (update_flags & update_boundary_forms) + if (update_flags & update_jacobian_pushed_forward_grads) { - const unsigned int n_q_points = output_data.boundary_forms.size(); - if (update_flags & update_normal_vectors) - AssertDimension (output_data.normal_vectors.size(), n_q_points); - if (update_flags & update_JxW_values) - AssertDimension (output_data.JxW_values.size(), n_q_points); - - // map the unit tangentials to the real cell. checking for d!=dim-1 - // eliminates compiler warnings regarding unsigned int expressions < - // 0. - for (unsigned int d=0; d!=dim-1; ++d) - { - Assert (face_no+GeometryInfo::faces_per_cell*d < - data.unit_tangentials.size(), - ExcInternalError()); - Assert (data.aux[d].size() <= - data.unit_tangentials[face_no+GeometryInfo::faces_per_cell*d].size(), - ExcInternalError()); - - mapping.transform (data.unit_tangentials[face_no+GeometryInfo::faces_per_cell*d], - data.aux[d], - data, - mapping_contravariant); - } + const unsigned int n_q_points = jacobian_pushed_forward_grads.size(); - // if dim==spacedim, we can use the unit tangentials to compute the - // boundary form by simply taking the cross product - if (dim == spacedim) - { - for (unsigned int i=0; i *second = + &data.second_derivative(point+data_set, 0); + + DerivativeForm<2,dim,spacedim> result; + + for (unsigned int k=0; k + void + maybe_update_jacobian_2nd_derivatives (const CellSimilarity::Similarity cell_similarity, + const typename dealii::QProjector::DataSetDescriptor data_set, + const typename dealii::MappingFEField::InternalData &data, + const FiniteElement &fe, + const ComponentMask &fe_mask, + const std::vector &fe_to_real, + std::vector > &jacobian_2nd_derivatives) + { + const UpdateFlags update_flags = data.update_each; + if (update_flags & update_jacobian_2nd_derivatives) + { + const unsigned int n_q_points = jacobian_2nd_derivatives.size(); + + if (cell_similarity != CellSimilarity::translation) + { + for (unsigned int point=0; point *third = + &data.third_derivative(point+data_set, 0); + + DerivativeForm<3,dim,spacedim> result; + + for (unsigned int k=0; k cell_normal; - const DerivativeForm<1,spacedim,dim> DX_t = - data.contravariant[point].transpose(); - cross_product(cell_normal,DX_t[0],DX_t[1]); - cell_normal /= cell_normal.norm(); + unsigned int comp_k = fe.system_to_component_index(k).first; + if (fe_mask[comp_k]) + for (unsigned int j=0; j + void + maybe_update_jacobian_pushed_forward_2nd_derivatives ( + const CellSimilarity::Similarity cell_similarity, + const typename dealii::QProjector::DataSetDescriptor data_set, + const typename dealii::MappingFEField::InternalData &data, + const FiniteElement &fe, + const ComponentMask &fe_mask, + const std::vector &fe_to_real, + std::vector > &jacobian_pushed_forward_2nd_derivatives ) + { + const UpdateFlags update_flags = data.update_each; + if (update_flags & update_jacobian_pushed_forward_2nd_derivatives) + { + const unsigned int n_q_points = jacobian_pushed_forward_2nd_derivatives.size(); + + if (cell_similarity != CellSimilarity::translation) + { + for (unsigned int point=0; point *third = + &data.third_derivative(point+data_set, 0); + + DerivativeForm<3,dim,spacedim> result; + + for (unsigned int k=0; k + void + maybe_update_jacobian_3rd_derivatives (const CellSimilarity::Similarity cell_similarity, + const typename dealii::QProjector::DataSetDescriptor data_set, + const typename dealii::MappingFEField::InternalData &data, + const FiniteElement &fe, + const ComponentMask &fe_mask, + const std::vector &fe_to_real, + std::vector > &jacobian_3rd_derivatives) + { + const UpdateFlags update_flags = data.update_each; + if (update_flags & update_jacobian_3rd_derivatives) + { + const unsigned int n_q_points = jacobian_3rd_derivatives.size(); + + if (cell_similarity != CellSimilarity::translation) + { + for (unsigned int point=0; point *fourth = + &data.fourth_derivative(point+data_set, 0); - if (subface_no != numbers::invalid_unsigned_int) - { - const double area_ratio=GeometryInfo::subface_ratio( - cell->subface_case(face_no), subface_no); - output_data.JxW_values[i] *= area_ratio; - } + DerivativeForm<4,dim,spacedim> result; + + for (unsigned int k=0; k(output_data.boundary_forms[i] / output_data.boundary_forms[i].norm()); + // never touch any data for j,l,m,n=dim in case dim + void + maybe_update_jacobian_pushed_forward_3rd_derivatives ( + const CellSimilarity::Similarity cell_similarity, + const typename dealii::QProjector::DataSetDescriptor data_set, + const typename dealii::MappingFEField::InternalData &data, + const FiniteElement &fe, + const ComponentMask &fe_mask, + const std::vector &fe_to_real, + std::vector > &jacobian_pushed_forward_3rd_derivatives ) + { + const UpdateFlags update_flags = data.update_each; + if (update_flags & update_jacobian_pushed_forward_3rd_derivatives) + { + const unsigned int n_q_points = jacobian_pushed_forward_3rd_derivatives.size(); - if (update_flags & update_jacobians) + if (cell_similarity != CellSimilarity::translation) + { for (unsigned int point=0; point *fourth = + &data.fourth_derivative(point+data_set, 0); + + DerivativeForm<4,dim,spacedim> result; + + for (unsigned int k=0; k + void + maybe_compute_face_data (const dealii::MappingFEField &mapping, + const typename dealii::Triangulation::cell_iterator &cell, + const unsigned int face_no, + const unsigned int subface_no, + const std::vector &weights, + const typename dealii::MappingFEField::InternalData &data, + internal::FEValues::MappingRelatedData &output_data) + { + const UpdateFlags update_flags = data.update_each; + + if (update_flags & update_boundary_forms) + { + const unsigned int n_q_points = output_data.boundary_forms.size(); + if (update_flags & update_normal_vectors) + AssertDimension (output_data.normal_vectors.size(), n_q_points); + if (update_flags & update_JxW_values) + AssertDimension (output_data.JxW_values.size(), n_q_points); + + // map the unit tangentials to the real cell. checking for d!=dim-1 + // eliminates compiler warnings regarding unsigned int expressions < + // 0. + for (unsigned int d=0; d!=dim-1; ++d) + { + Assert (face_no+GeometryInfo::faces_per_cell*d < + data.unit_tangentials.size(), + ExcInternalError()); + Assert (data.aux[d].size() <= + data.unit_tangentials[face_no+GeometryInfo::faces_per_cell*d].size(), + ExcInternalError()); + + mapping.transform (data.unit_tangentials[face_no+GeometryInfo::faces_per_cell*d], + data.aux[d], + data, + mapping_contravariant); + } + + // if dim==spacedim, we can use the unit tangentials to compute the + // boundary form by simply taking the cross product + if (dim == spacedim) + { + for (unsigned int i=0; i - void - do_fill_fe_face_values (const dealii::MappingFEField &mapping, - const typename dealii::Triangulation::cell_iterator &cell, - const unsigned int face_no, - const unsigned int subface_no, - const typename dealii::QProjector::DataSetDescriptor data_set, - const Quadrature &quadrature, - const typename dealii::MappingFEField::InternalData &data, - const FiniteElement &fe, - const ComponentMask &fe_mask, - const std::vector &fe_to_real, - internal::FEValues::MappingRelatedData &output_data) - { - maybe_compute_q_points (data_set, - data, - fe, fe_mask, fe_to_real, - output_data.quadrature_points); - maybe_update_Jacobians (CellSimilarity::none, - data_set, - data, - fe, fe_mask, fe_to_real); - maybe_update_jacobian_grads (CellSimilarity::none, - data_set, - data, - fe, fe_mask, fe_to_real, - output_data.jacobian_grads); - maybe_compute_face_data (mapping, - cell, face_no, subface_no, - quadrature.get_weights(), data, - output_data); - } + } + + if (dim==2) + { + Tensor<1,spacedim> cell_normal; + const DerivativeForm<1,spacedim,dim> DX_t = + data.contravariant[point].transpose(); + cross_product(cell_normal,DX_t[0],DX_t[1]); + cell_normal /= cell_normal.norm(); + + // then compute the face normal from the face tangent + // and the cell normal: + cross_product (output_data.boundary_forms[point], + data.aux[0][point], cell_normal); + + } + + } + } + + if (update_flags & (update_normal_vectors | update_JxW_values)) + for (unsigned int i=0; i::subface_ratio( + cell->subface_case(face_no), subface_no); + output_data.JxW_values[i] *= area_ratio; + } + } + + if (update_flags & update_normal_vectors) + output_data.normal_vectors[i] = Point(output_data.boundary_forms[i] / output_data.boundary_forms[i].norm()); + } + + if (update_flags & update_jacobians) + for (unsigned int point=0; point + void + do_fill_fe_face_values (const dealii::MappingFEField &mapping, + const typename dealii::Triangulation::cell_iterator &cell, + const unsigned int face_no, + const unsigned int subface_no, + const typename dealii::QProjector::DataSetDescriptor data_set, + const Quadrature &quadrature, + const typename dealii::MappingFEField::InternalData &data, + const FiniteElement &fe, + const ComponentMask &fe_mask, + const std::vector &fe_to_real, + internal::FEValues::MappingRelatedData &output_data) + { + maybe_compute_q_points (data_set, + data, + fe, fe_mask, fe_to_real, + output_data.quadrature_points); + + maybe_update_Jacobians (CellSimilarity::none, + data_set, + data, + fe, fe_mask, fe_to_real); + + maybe_update_jacobian_grads (CellSimilarity::none, + data_set, + data, + fe, fe_mask, fe_to_real, + output_data.jacobian_grads); + + maybe_update_jacobian_pushed_forward_grads (CellSimilarity::none, + data_set, + data, + fe, fe_mask, fe_to_real, + output_data.jacobian_pushed_forward_grads); + + maybe_update_jacobian_2nd_derivatives (CellSimilarity::none, + data_set, + data, + fe, fe_mask, fe_to_real, + output_data.jacobian_2nd_derivatives); + + maybe_update_jacobian_pushed_forward_2nd_derivatives (CellSimilarity::none, + data_set, + data, + fe, fe_mask, fe_to_real, + output_data.jacobian_pushed_forward_2nd_derivatives); + + maybe_update_jacobian_3rd_derivatives (CellSimilarity::none, + data_set, + data, + fe, fe_mask, fe_to_real, + output_data.jacobian_3rd_derivatives); + + maybe_update_jacobian_pushed_forward_3rd_derivatives (CellSimilarity::none, + data_set, + data, + fe, fe_mask, fe_to_real, + output_data.jacobian_pushed_forward_3rd_derivatives); + + maybe_compute_face_data (mapping, + cell, face_no, subface_no, + quadrature.get_weights(), data, + output_data); + } +} // Note that the CellSimilarity flag is modifiable, since MappingFEField can need to @@ -909,6 +1330,37 @@ fill_fe_values (const typename Triangulation::cell_iterator &cell, data, *fe, fe_mask, fe_to_real, output_data.jacobian_grads); + // calculate derivatives of the Jacobians pushed forward to real cell coordinates + internal::maybe_update_jacobian_pushed_forward_grads(cell_similarity, + QProjector::DataSetDescriptor::cell(), + data, *fe, fe_mask, fe_to_real, + output_data.jacobian_pushed_forward_grads); + + // calculate hessians of the Jacobians + internal::maybe_update_jacobian_2nd_derivatives(cell_similarity, + QProjector::DataSetDescriptor::cell(), + data, *fe, fe_mask, fe_to_real, + output_data.jacobian_2nd_derivatives); + + // calculate hessians of the Jacobians pushed forward to real cell coordinates + internal::maybe_update_jacobian_pushed_forward_2nd_derivatives(cell_similarity, + QProjector::DataSetDescriptor::cell(), + data, *fe, fe_mask, fe_to_real, + output_data.jacobian_pushed_forward_2nd_derivatives); + + // calculate gradients of the hessians of the Jacobians + internal::maybe_update_jacobian_3rd_derivatives(cell_similarity, + QProjector::DataSetDescriptor::cell(), + data, *fe, fe_mask, fe_to_real, + output_data.jacobian_3rd_derivatives); + + // calculate gradients of the hessians of the Jacobians pushed forward to real + // cell coordinates + internal::maybe_update_jacobian_pushed_forward_3rd_derivatives(cell_similarity, + QProjector::DataSetDescriptor::cell(), + data, *fe, fe_mask, fe_to_real, + output_data.jacobian_pushed_forward_3rd_derivatives); + return updated_cell_similarity; } diff --git a/source/fe/mapping_q.cc b/source/fe/mapping_q.cc index 6cde1177b9..4fddd102e1 100644 --- a/source/fe/mapping_q.cc +++ b/source/fe/mapping_q.cc @@ -171,11 +171,31 @@ MappingQ::compute_shapes_virtual (const std::vector > & grad2.resize(n_shape_functions); } + std::vector > grad3; + if (data.shape_third_derivatives.size()!=0) + { + Assert(data.shape_third_derivatives.size()==n_shape_functions*n_points, + ExcInternalError()); + grad3.resize(n_shape_functions); + } + + std::vector > grad4; + if (data.shape_fourth_derivatives.size()!=0) + { + Assert(data.shape_fourth_derivatives.size()==n_shape_functions*n_points, + ExcInternalError()); + grad4.resize(n_shape_functions); + } + - if (data.shape_values.size()!=0 || data.shape_derivatives.size()!=0) + if (data.shape_values.size()!=0 || + data.shape_derivatives.size()!=0 || + data.shape_second_derivatives.size()!=0 || + data.shape_third_derivatives.size()!=0 || + data.shape_fourth_derivatives.size()!=0 ) for (unsigned int point=0; pointcompute(unit_points[point], values, grads, grad2); + tensor_pols->compute(unit_points[point], values, grads, grad2, grad3, grad4); if (data.shape_values.size()!=0) for (unsigned int i=0; i::compute_shapes_virtual (const std::vector > & if (data.shape_second_derivatives.size()!=0) for (unsigned int i=0; iupdate_each & update_covariant_transformation) @@ -105,8 +110,17 @@ initialize (const UpdateFlags update_flags, if (this->update_each & update_volume_elements) volume_elements.resize(n_original_q_points); - if (this->update_each & update_jacobian_grads) + if (this->update_each & + (update_jacobian_grads | update_jacobian_pushed_forward_grads) ) shape_second_derivatives.resize(n_shape_functions * n_q_points); + + if (this->update_each & + (update_jacobian_2nd_derivatives | update_jacobian_pushed_forward_2nd_derivatives) ) + shape_third_derivatives.resize(n_shape_functions * n_q_points); + + if (this->update_each & + (update_jacobian_3rd_derivatives | update_jacobian_pushed_forward_3rd_derivatives) ) + shape_fourth_derivatives.resize(n_shape_functions * n_q_points); } @@ -361,6 +375,30 @@ namespace internal data.second_derivative(k,0)[0][0] = 0; data.second_derivative(k,1)[0][0] = 0; } + if (data.shape_third_derivatives.size()!=0) + { + // if lower order derivative don't work, neither should this + Assert (spacedim == 1, ExcNotImplemented()); + + Assert(data.shape_third_derivatives.size()==n_shape_functions*n_points, + ExcInternalError()); + + Tensor<3,1> zero; + data.third_derivative(k,0) = zero; + data.third_derivative(k,1) = zero; + } + if (data.shape_fourth_derivatives.size()!=0) + { + // if lower order derivative don't work, neither should this + Assert (spacedim == 1, ExcNotImplemented()); + + Assert(data.shape_fourth_derivatives.size()==n_shape_functions*n_points, + ExcInternalError()); + + Tensor<4,1> zero; + data.fourth_derivative(k,0) = zero; + data.fourth_derivative(k,1) = zero; + } } } @@ -421,6 +459,23 @@ namespace internal data.second_derivative(k,2)[1][1] = 0; data.second_derivative(k,3)[1][1] = 0; } + if (data.shape_third_derivatives.size()!=0) + { + Assert(data.shape_third_derivatives.size()==n_shape_functions*n_points, + ExcInternalError()); + + Tensor<3,2> zero; + for (unsigned int i=0; i<4; ++i) + data.third_derivative(k,i) = zero; + } + if (data.shape_fourth_derivatives.size()!=0) + { + Assert(data.shape_fourth_derivatives.size()==n_shape_functions*n_points, + ExcInternalError()); + Tensor<4,2> zero; + for (unsigned int i=0; i<4; ++i) + data.fourth_derivative(k,i) = zero; + } } } @@ -566,6 +621,46 @@ namespace internal data.second_derivative(k,6)[2][1] = (1.-x); data.second_derivative(k,7)[2][1] = x; } + if (data.shape_third_derivatives.size()!=0) + { + // if lower order derivative don't work, neither should this + Assert (spacedim == 3, ExcNotImplemented()); + + Assert(data.shape_third_derivatives.size()==n_shape_functions*n_points, + ExcInternalError()); + + for (unsigned int i=0; i<3; ++i) + for (unsigned int j=0; j<3; ++j) + for (unsigned int l=0; l<3; ++l) + if ((i==j)||(j==l)||(l==i)) + { + for (unsigned int m=0; m<8; ++m) + data.third_derivative(k,m)[i][j][l] = 0; + } + else + { + data.third_derivative(k,0)[i][j][l] = -1.; + data.third_derivative(k,1)[i][j][l] = 1.; + data.third_derivative(k,2)[i][j][l] = 1.; + data.third_derivative(k,3)[i][j][l] = -1.; + data.third_derivative(k,4)[i][j][l] = 1.; + data.third_derivative(k,5)[i][j][l] = -1.; + data.third_derivative(k,6)[i][j][l] = -1.; + data.third_derivative(k,7)[i][j][l] = 1.; + } + + } + if (data.shape_fourth_derivatives.size()!=0) + { + // if lower order derivative don't work, neither should this + Assert (spacedim == 3, ExcNotImplemented()); + + Assert(data.shape_fourth_derivatives.size()==n_shape_functions*n_points, + ExcInternalError()); + Tensor<4,3> zero; + for (unsigned int i=0; i<8; ++i) + data.fourth_derivative(k,i) = zero; + } } } } @@ -619,7 +714,10 @@ MappingQ1::requires_update_flags (const UpdateFlags in) const | update_normal_vectors)) out |= update_contravariant_transformation; - if (out & (update_inverse_jacobians)) + if (out & (update_inverse_jacobians + | update_jacobian_pushed_forward_grads + | update_jacobian_pushed_forward_2nd_derivatives + | update_jacobian_pushed_forward_3rd_derivatives) ) out |= update_covariant_transformation; // The contravariant transformation @@ -850,6 +948,315 @@ namespace internal } } } + + /** + * Update the Hessian of the transformation from unit to real cell, the + * Jacobian gradients, pushed forward to the real cell coordinates. + * + * Skip the computation if possible as indicated by the first argument. + */ + template + void + maybe_update_jacobian_pushed_forward_grads (const CellSimilarity::Similarity cell_similarity, + const typename QProjector::DataSetDescriptor data_set, + const typename dealii::MappingQ1::InternalData &data, + std::vector > &jacobian_pushed_forward_grads) + { + const UpdateFlags update_flags = data.update_each; + if (update_flags & update_jacobian_pushed_forward_grads) + { + const unsigned int n_q_points = jacobian_pushed_forward_grads.size(); + + if (cell_similarity != CellSimilarity::translation) + { + for (unsigned int point=0; point *second = + &data.second_derivative(point+data_set, 0); + double result [spacedim][dim][dim]; + for (unsigned int i=0; i + void + maybe_update_jacobian_2nd_derivatives (const CellSimilarity::Similarity cell_similarity, + const typename QProjector::DataSetDescriptor data_set, + const typename dealii::MappingQ1::InternalData &data, + std::vector > &jacobian_2nd_derivatives) + { + const UpdateFlags update_flags = data.update_each; + if (update_flags & update_jacobian_2nd_derivatives) + { + const unsigned int n_q_points = jacobian_2nd_derivatives.size(); + + if (cell_similarity != CellSimilarity::translation) + { + for (unsigned int point=0; point *third = + &data.third_derivative(point+data_set, 0); + double result [spacedim][dim][dim][dim]; + for (unsigned int i=0; i + void + maybe_update_jacobian_pushed_forward_2nd_derivatives (const CellSimilarity::Similarity cell_similarity, + const typename QProjector::DataSetDescriptor data_set, + const typename dealii::MappingQ1::InternalData &data, + std::vector > &jacobian_pushed_forward_2nd_derivatives) + { + const UpdateFlags update_flags = data.update_each; + if (update_flags & update_jacobian_pushed_forward_2nd_derivatives) + { + const unsigned int n_q_points = jacobian_pushed_forward_2nd_derivatives.size(); + + if (cell_similarity != CellSimilarity::translation) + { + for (unsigned int point=0; point *third = + &data.third_derivative(point+data_set, 0); + double result [spacedim][dim][dim][dim]; + for (unsigned int i=0; i + void + maybe_update_jacobian_3rd_derivatives (const CellSimilarity::Similarity cell_similarity, + const typename QProjector::DataSetDescriptor data_set, + const typename dealii::MappingQ1::InternalData &data, + std::vector > &jacobian_3rd_derivatives) + { + const UpdateFlags update_flags = data.update_each; + if (update_flags & update_jacobian_3rd_derivatives) + { + const unsigned int n_q_points = jacobian_3rd_derivatives.size(); + + if (cell_similarity != CellSimilarity::translation) + { + for (unsigned int point=0; point *fourth = + &data.fourth_derivative(point+data_set, 0); + double result [spacedim][dim][dim][dim][dim]; + for (unsigned int i=0; i + void + maybe_update_jacobian_pushed_forward_3rd_derivatives (const CellSimilarity::Similarity cell_similarity, + const typename QProjector::DataSetDescriptor data_set, + const typename dealii::MappingQ1::InternalData &data, + std::vector > &jacobian_pushed_forward_3rd_derivatives) + { + const UpdateFlags update_flags = data.update_each; + if (update_flags & update_jacobian_pushed_forward_3rd_derivatives) + { + const unsigned int n_q_points = jacobian_pushed_forward_3rd_derivatives.size(); + + if (cell_similarity != CellSimilarity::translation) + { + for (unsigned int point=0; point *fourth = + &data.fourth_derivative(point+data_set, 0); + double result [spacedim][dim][dim][dim][dim]; + for (unsigned int i=0; i::cell_iterator &cell, data, output_data.jacobian_grads); + internal::maybe_update_jacobian_pushed_forward_grads (cell_similarity, + DataSetDescriptor::cell (), + data, + output_data.jacobian_pushed_forward_grads); + + internal::maybe_update_jacobian_2nd_derivatives (cell_similarity, + DataSetDescriptor::cell (), + data, + output_data.jacobian_2nd_derivatives); + + internal::maybe_update_jacobian_pushed_forward_2nd_derivatives (cell_similarity, + DataSetDescriptor::cell (), + data, + output_data.jacobian_pushed_forward_2nd_derivatives); + + internal::maybe_update_jacobian_3rd_derivatives (cell_similarity, + DataSetDescriptor::cell (), + data, + output_data.jacobian_3rd_derivatives); + + internal::maybe_update_jacobian_pushed_forward_3rd_derivatives (cell_similarity, + DataSetDescriptor::cell (), + data, + output_data.jacobian_pushed_forward_3rd_derivatives); + return cell_similarity; } @@ -1200,6 +1632,27 @@ namespace internal data_set, data, output_data.jacobian_grads); + maybe_update_jacobian_pushed_forward_grads (CellSimilarity::none, + data_set, + data, + output_data.jacobian_pushed_forward_grads); + maybe_update_jacobian_2nd_derivatives (CellSimilarity::none, + data_set, + data, + output_data.jacobian_2nd_derivatives); + maybe_update_jacobian_pushed_forward_2nd_derivatives (CellSimilarity::none, + data_set, + data, + output_data.jacobian_pushed_forward_2nd_derivatives); + maybe_update_jacobian_3rd_derivatives (CellSimilarity::none, + data_set, + data, + output_data.jacobian_3rd_derivatives); + maybe_update_jacobian_pushed_forward_3rd_derivatives (CellSimilarity::none, + data_set, + data, + output_data.jacobian_pushed_forward_3rd_derivatives); + maybe_compute_face_data (mapping, cell, face_no, subface_no, quadrature.size(), quadrature.get_weights(), data, diff --git a/tests/base/anisotropic_1.cc b/tests/base/anisotropic_1.cc index 56c0dfd19e..879343610b 100644 --- a/tests/base/anisotropic_1.cc +++ b/tests/base/anisotropic_1.cc @@ -42,9 +42,11 @@ void check_poly(const Point &x, std::vector values1 (n), values2 (n); std::vector > gradients1(n), gradients2(n); std::vector > second1(n), second2(n); + std::vector > third1(n), third2(n); + std::vector > fourth1(n), fourth2(n); - p.compute (x, values1, gradients1, second1); - q.compute (x, values2, gradients2, second2); + p.compute (x, values1, gradients1, second1, third1, fourth1); + q.compute (x, values2, gradients2, second2, third2, fourth2); for (unsigned int k=0; k &x, << val2 << std::endl; // Check if compute_grad is ok - Tensor<1,dim> grad1 = p.compute_grad(k,x); + Tensor<1,dim> grad1 = p.template compute_derivative<1>(k,x); if (grad1 != gradients1[k]) deallog << 'P' << k << ": gradients differ " << grad1 << " != " << gradients1[k] << std::endl; - Tensor<1,dim> grad2 = q.compute_grad(k,x); + Tensor<1,dim> grad2 = q.template compute_derivative<1>(k,x); if (grad2 != gradients2[k]) deallog << 'Q' << k << ": gradients differ " << grad1 << " != " << gradients2[k] << std::endl; @@ -75,11 +77,11 @@ void check_poly(const Point &x, << grad2 << std::endl; // Check if compute_grad_grad is ok - Tensor<2,dim> grad_grad1 = p.compute_grad_grad(k,x); + Tensor<2,dim> grad_grad1 = p.template compute_derivative<2>(k,x); if (grad_grad1 != second1[k]) deallog << 'P' << k << ": second derivatives differ " << grad_grad1 << " != " << second1[k] << std::endl; - Tensor<2,dim> grad_grad2 = q.compute_grad_grad(k,x); + Tensor<2,dim> grad_grad2 = q.template compute_derivative<2>(k,x); if (grad_grad2 != second2[k]) deallog << 'Q' << k << ": second derivatives differ " << grad_grad2 << " != " << second2[k] << std::endl; @@ -87,6 +89,32 @@ void check_poly(const Point &x, deallog << "PQ" << k << ": second derivatives differ " << grad_grad1 << " != " << grad_grad2 << std::endl; + // Check if third derivative is ok + Tensor<3,dim> third_derivative1 = p.template compute_derivative<3>(k,x); + if (third_derivative1 != third1[k]) + deallog << 'P' << k << ": third derivatives differ " << third_derivative1 << " != " + << third1[k] << std::endl; + Tensor<3,dim> third_derivative2 = q.template compute_derivative<3>(k,x); + if (third_derivative2 != third2[k]) + deallog << 'Q' << k << ": third derivatives differ " << third_derivative2 << " != " + << third2[k] << std::endl; + if (third_derivative2 != third_derivative1) + deallog << "PQ" << k << ": third derivatives differ " << third_derivative1 << " != " + << third_derivative2 << std::endl; + + // Check if third derivative is ok + Tensor<4,dim> fourth_derivative1 = p.template compute_derivative<4>(k,x); + if (fourth_derivative1 != fourth1[k]) + deallog << 'P' << k << ": fourth derivatives differ " << fourth_derivative1 << " != " + << fourth1[k] << std::endl; + Tensor<4,dim> fourth_derivative2 = q.template compute_derivative<4>(k,x); + if (fourth_derivative2 != fourth2[k]) + deallog << 'Q' << k << ": fourth derivatives differ " << fourth_derivative2 << " != " + << fourth2[k] << std::endl; + if (fourth_derivative2 != fourth_derivative1) + deallog << "PQ" << k << ": fourth derivatives differ " << fourth_derivative1 << " != " + << fourth_derivative2 << std::endl; + // finally output values, // gradients, etc, to make sure @@ -107,6 +135,17 @@ void check_poly(const Point &x, for (unsigned int d1=0; d1 &x, const POLY &p) { const unsigned int n = p.n(); + const double eps = 5.0e-15; std::vector values (n); std::vector > gradients(n); std::vector > second(n); + std::vector > third(n); + std::vector > fourth(n); - p.compute (x, values, gradients, second); + p.compute (x, values, gradients, second, third, fourth); for (unsigned int k=0; k &x, // Check if compute_value is ok double val = p.compute_value(k,x); - if (std::fabs(val - values[k]) > 5.0E-15) + if (std::fabs(val - values[k]) > eps) deallog << 'P' << k << ": values differ " << val << " != " << values[k] << std::endl; // Check if compute_grad is ok - Tensor<1,dim> grad = p.compute_grad(k,x); - if ((grad-gradients[k]) * (grad-gradients[k]) > 5e-15*5e-15) + Tensor<1,dim> grad = p.template compute_derivative<1>(k,x); + if ((grad-gradients[k]) * (grad-gradients[k]) > eps*eps) deallog << 'P' << k << ": gradients differ " << grad << " != " << gradients[k] << std::endl; // Check if compute_grad_grad is ok - Tensor<2,dim> grad2 = p.compute_grad_grad(k,x); + Tensor<2,dim> grad2 = p.template compute_derivative<2>(k,x); Tensor<2,dim> diff = grad2-second[k]; - double s = 0; - for (unsigned int i=0; i 5e-15*5e-15) + + if (diff.norm_square() > eps*eps) + deallog << 'P' << k << ": second derivatives differ " << grad2 << " != " + << second[k] << std::endl; + + // Check if third derivative is ok + Tensor<3,dim> grad3 = p.template compute_derivative<3>(k,x); + if ((grad3-third[k]).norm_square() > 5e-15*5e-15) + deallog << 'P' << k << ": third derivatives differ " << grad3 << " != " + << third[k] << std::endl; + + if (diff.norm_square() > eps*eps) deallog << 'P' << k << ": second derivatives differ " << grad2 << " != " << second[k] << std::endl; + // Check if third derivative is ok + Tensor<4,dim> grad4 = p.template compute_derivative<4>(k,x); + if ((grad3-third[k]).norm_square() > eps*eps) + deallog << 'P' << k << ": fourth derivatives differ " << grad4 << " != " + << fourth[k] << std::endl; + // finally output values, // gradients, etc, to make sure @@ -93,6 +109,17 @@ void check_poly(const Point &x, for (unsigned int d1=0; d1 &poly) std::vector > values(poly.n()); std::vector > grads; std::vector > grads2; + std::vector > thirds; + std::vector > fourths; for (unsigned int k=0; k &poly) deallog << "BDM" << poly.degree() << '<' << dim << '>' << '\t' << quadrature.point(k); - poly.compute(quadrature.point(k), values, grads, grads2); + poly.compute(quadrature.point(k), values, grads, grads2, thirds, fourths); for (unsigned int i=0; i &poly) std::vector > values(poly.n()); std::vector > grads; std::vector > grads2; + std::vector > thirds; + std::vector > fourths; for (unsigned int k=0; k &poly) deallog << "RT" << poly.degree() << '<' << dim << '>' << '\t' << quadrature.point(k); - poly.compute(quadrature.point(k), values, grads, grads2); + poly.compute(quadrature.point(k), values, grads, grads2, thirds, fourths); for (unsigned int i=0; i &x, std::vector > values(n); std::vector > gradients(n); std::vector > seconds(0); + std::vector > thirds(0); + std::vector > fourths(0); - p.compute(x, values, gradients, seconds); + p.compute(x, values, gradients, seconds, thirds, fourths); deallog << "Point " << x << std::endl; for (unsigned int i=0; i @@ -33,61 +35,157 @@ template void do_test(const Triangulation &tria, - const Mapping &mapping) + const Mapping &mapping) { - FE_Nothing dummy; - // choose a point that is not right in the - // middle of the cell so that the Jacobian - // contains many nonzero entries - Point quad_p; - for (int d=0; d quad(quad_p); - FEValues fe_val (mapping, dummy, quad, - update_jacobians | update_inverse_jacobians | - update_jacobian_grads); - deallog << dim << "d Jacobians:" << std::endl; - typename Triangulation::active_cell_iterator - cell = tria.begin_active(), endc = tria.end(); - for ( ; cell != endc; ++cell) - { - fe_val.reinit (cell); - - for (unsigned int d=0; d dummy; + // choose a point that is not right in the + // middle of the cell so that the Jacobian + // contains many nonzero entries + Point quad_p; + for (int d=0; d quad(quad_p); + + { + deallog << dim << "D Jacobians:" << std::endl; + FEValues fe_val(mapping, dummy, quad, update_jacobians); + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + { + fe_val.reinit (cell); + + for (unsigned int d=0; d fe_val(mapping, dummy, quad, update_inverse_jacobians); + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + { + fe_val.reinit (cell); + + for (unsigned int d=0; d fe_val(mapping, dummy, quad, update_jacobian_grads); + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + { + fe_val.reinit (cell); + + for (unsigned int d=0; d fe_val(mapping, dummy, quad, update_jacobian_pushed_forward_grads); + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + { + fe_val.reinit (cell); + + for (unsigned int d=0; d fe_val(mapping, dummy, quad, update_jacobian_2nd_derivatives); + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + { + fe_val.reinit (cell); + + for (unsigned int d=0; d fe_val(mapping, dummy, quad, update_jacobian_pushed_forward_2nd_derivatives); + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + { + fe_val.reinit (cell); + + for (unsigned int d=0; d fe_val(mapping, dummy, quad, update_jacobian_3rd_derivatives); + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + { + fe_val.reinit (cell); + + for (unsigned int d=0; d fe_val(mapping, dummy, quad, update_jacobian_pushed_forward_3rd_derivatives); + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + { + fe_val.reinit (cell); + + for (unsigned int d=0; d &tria, template void test() { - Triangulation tria; - GridGenerator::hyper_ball (tria); - static const HyperBallBoundary boundary; - tria.set_boundary (0, boundary); - - { - deallog << "========== MappingQ ==========" << std::endl; - MappingQ mapping(3); - do_test(tria, mapping); - } - - { - deallog << "========== MappingFEField ==========" << std::endl; - FESystem fe_euler(FE_Q (QGaussLobatto<1>(4)), dim); - DoFHandler map_dh(tria); - map_dh.distribute_dofs (fe_euler); - - Vector euler_vec(map_dh.n_dofs()); - VectorTools::get_position_vector(map_dh, euler_vec); - - MappingFEField mapping(map_dh, euler_vec); - do_test(tria, mapping); - } + Triangulation tria; + GridGenerator::hyper_ball (tria); + static const HyperBallBoundary boundary; + tria.set_boundary (0, boundary); + + { + deallog << "========== MappingQ ==========" << std::endl; + MappingQ mapping(5); + do_test(tria, mapping); + } + + { + deallog << "========== MappingFEField ==========" << std::endl; + FESystem fe_euler(FE_Q (QGaussLobatto<1>(4)), dim); + DoFHandler map_dh(tria); + map_dh.distribute_dofs (fe_euler); + + Vector euler_vec(map_dh.n_dofs()); + VectorTools::get_position_vector(map_dh, euler_vec); + + MappingFEField mapping(map_dh, euler_vec); + do_test(tria, mapping); + } } int main() { - std::ofstream logfile ("output"); - deallog << std::setprecision(8) << std::fixed; - deallog.attach(logfile); - deallog.depth_console(0); - deallog.threshold_double(1.e-10); + std::ofstream logfile ("output"); + deallog << std::setprecision(8) << std::fixed; + deallog.attach(logfile); + deallog.depth_console(0); + deallog.threshold_double(1.e-10); - test<2>(); - test<3>(); + test<2>(); + test<3>(); - return 0; + return 0; } + diff --git a/tests/fe/jacobians.output b/tests/fe/jacobians.output index a34d5b1017..e0171bcb84 100644 --- a/tests/fe/jacobians.output +++ b/tests/fe/jacobians.output @@ -1,78 +1,193 @@ DEAL::========== MappingQ ========== -DEAL::2d Jacobians: -DEAL::0.97416533 0.06643545 -0.03128628 0.58141017 -DEAL::0.67100687 0.01733694 -0.02724953 1.06933838 +DEAL::2D Jacobians: +DEAL::0.98107332 0.06931605 -0.04119829 0.59570291 +DEAL::0.67101157 0.02252921 -0.02727467 1.07898728 DEAL::0.58578644 0 0 0.58578644 -DEAL::0.03128628 -0.58141017 0.97416533 0.06643545 -DEAL::-0.02724953 1.06933838 -0.67100687 -0.01733694 +DEAL::0.04119829 -0.59570291 0.98107332 0.06931605 +DEAL::-0.02727467 1.07898728 -0.67101157 -0.02252921 DEAL:: -DEAL::2d inverse Jacobians: -DEAL::1.02276649 -0.11686749 0.05503611 1.71366741 -DEAL::1.48931714 -0.02414596 0.03795168 0.93454238 +DEAL::2D inverse Jacobians: +DEAL::1.01433544 -0.11802818 0.07015055 1.67052642 +DEAL::1.48902352 -0.03109074 0.03763958 0.92600908 DEAL::1.70710678 0 0 1.70710678 -DEAL::0.11686749 1.02276649 -1.71366741 0.05503611 -DEAL::-0.02414596 -1.48931714 0.93454238 -0.03795168 +DEAL::0.11802818 1.01433544 -1.67052642 0.07015055 +DEAL::-0.03109074 -1.48902352 0.92600908 -0.03763958 DEAL:: -DEAL::2d Jacobian gradients: -DEAL::-0.00204199 -0.83033717 -0.83033717 -0.04134342 0.39107846 0.10981715 0.10981715 -0.63752903 -DEAL::-0.90847214 -0.06185307 -0.06185307 0.57789806 0.02659837 -0.90774034 -0.90774034 -0.00223032 +DEAL::2D Jacobian gradients: +DEAL::0.01597935 -0.86431765 -0.86431765 -0.01916881 0.50586155 0.14040162 0.14040162 -0.51276357 +DEAL::-0.76418040 -0.07475819 -0.07475819 0.74913779 0.01601567 -0.90821356 -0.90821356 -0.01254127 DEAL::0 0 0 0 0 0 0 0 -DEAL::-0.39107846 -0.10981715 -0.10981715 0.63752903 -0.00204199 -0.83033717 -0.83033717 -0.04134342 -DEAL::0.02659837 -0.90774034 -0.90774034 -0.00223032 0.90847214 0.06185307 0.06185307 -0.57789806 +DEAL::-0.50586155 -0.14040162 -0.14040162 0.51276357 0.01597935 -0.86431765 -0.86431765 -0.01916881 +DEAL::0.01601567 -0.90821356 -0.90821356 -0.01254127 0.76418040 0.07475819 0.07475819 -0.74913779 +DEAL:: +DEAL::2D Jacobian pushed forward gradients: +DEAL::-0.10665666 -1.46156700 -1.46156700 0.28756262 0.53792653 0.11609269 0.11609269 -1.47926679 +DEAL::-1.70165244 -0.04150429 -0.04150429 0.64594621 -0.06631182 -1.25240536 -1.25240536 0.04155694 +DEAL::0 0 0 0 0 0 0 0 +DEAL::1.47926679 0.11609269 0.11609269 -0.53792653 0.28756262 1.46156700 1.46156700 -0.10665666 +DEAL::0.04155694 1.25240536 1.25240536 -0.06631182 -0.64594621 -0.04150429 -0.04150429 1.70165244 +DEAL:: +DEAL::2D Jacobian hessians: +DEAL::-0.19190065 -0.07981003 -0.07981003 0.21262296 -0.07981003 0.21262296 0.21262296 0.14341415 0.34189041 -1.72717557 -1.72717557 -0.43303437 -1.72717557 -0.43303437 -0.43303437 1.80719883 +DEAL::2.45083778 0.22793976 0.22793976 -2.48572336 0.22793976 -2.48572336 -2.48572336 -0.18357224 -0.09872805 0.52624657 0.52624657 0.09403405 0.52624657 0.09403405 0.09403405 -0.41540891 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::-0.34189041 1.72717557 1.72717557 0.43303437 1.72717557 0.43303437 0.43303437 -1.80719883 -0.19190065 -0.07981003 -0.07981003 0.21262296 -0.07981003 0.21262296 0.21262296 0.14341415 +DEAL::-0.09872805 0.52624657 0.52624657 0.09403405 0.52624657 0.09403405 0.09403405 -0.41540891 -2.45083778 -0.22793976 -0.22793976 2.48572336 -0.22793976 2.48572336 2.48572336 0.18357224 +DEAL:: +DEAL::2D Jacobian pushed forward hessians: +DEAL::-0.40054494 0.04660745 0.04660745 -0.00542325 0.04660745 -0.00542325 -0.00542325 0.00063105 0.71361129 -0.08303588 -0.08303588 0.00966206 -0.08303588 0.00966206 0.00966206 -0.00112428 +DEAL::16.18263495 -0.33789268 -0.33789268 0.00705518 -0.33789268 0.00705518 0.00705518 -0.00014731 -0.65189140 0.01361146 0.01361146 -0.00028421 0.01361146 -0.00028421 -0.00028421 0.00000593 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::-0.00112428 -0.00966206 -0.00966206 -0.08303588 -0.00966206 -0.08303588 -0.08303588 -0.71361129 -0.00063105 -0.00542325 -0.00542325 -0.04660745 -0.00542325 -0.04660745 -0.04660745 -0.40054494 +DEAL::0.00000593 0.00028421 0.00028421 0.01361146 0.00028421 0.01361146 0.01361146 0.65189140 0.00014731 0.00705518 0.00705518 0.33789268 0.00705518 0.33789268 0.33789268 16.18263495 +DEAL:: +DEAL::2D Jacobian hessian gradients: +DEAL::-0.29404509 0.98653783 0.98653783 0.99310609 0.98653783 0.99310609 0.99310609 -1.53824907 0.98653783 0.99310609 0.99310609 -1.53824907 0.99310609 -1.53824907 -1.53824907 -0.88188320 -4.27363007 -1.04417738 -1.04417738 5.28650098 -1.04417738 5.28650098 5.28650098 1.72398638 -1.04417738 5.28650098 5.28650098 1.72398638 5.28650098 1.72398638 1.72398638 -4.85716309 +DEAL::-5.81340692 -0.46617872 -0.46617872 7.57685648 -0.46617872 7.57685648 7.57685648 0.62162952 -0.46617872 7.57685648 7.57685648 0.62162952 7.57685648 0.62162952 0.62162952 -6.11907472 0.42578676 -3.26305954 -3.26305954 -0.75911304 -3.26305954 -0.75911304 -0.75911304 3.10566663 -3.26305954 -0.75911304 -0.75911304 3.10566663 -0.75911304 3.10566663 3.10566663 0.26333383 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::4.27363007 1.04417738 1.04417738 -5.28650098 1.04417738 -5.28650098 -5.28650098 -1.72398638 1.04417738 -5.28650098 -5.28650098 -1.72398638 -5.28650098 -1.72398638 -1.72398638 4.85716309 -0.29404509 0.98653783 0.98653783 0.99310609 0.98653783 0.99310609 0.99310609 -1.53824907 0.98653783 0.99310609 0.99310609 -1.53824907 0.99310609 -1.53824907 -1.53824907 -0.88188320 +DEAL::0.42578676 -3.26305954 -3.26305954 -0.75911304 -3.26305954 -0.75911304 -0.75911304 3.10566663 -3.26305954 -0.75911304 -0.75911304 3.10566663 -0.75911304 3.10566663 3.10566663 0.26333383 5.81340692 0.46617872 0.46617872 -7.57685648 0.46617872 -7.57685648 -7.57685648 -0.62162952 0.46617872 -7.57685648 -7.57685648 -0.62162952 -7.57685648 -0.62162952 -0.62162952 6.11907472 +DEAL:: +DEAL::2D Jacobian pushed forward hessian gradients: +DEAL::-0.62254440 0.07243933 0.07243933 -0.00842905 0.07243933 -0.00842905 -0.00842905 0.00098080 0.07243933 -0.00842905 -0.00842905 0.00098080 -0.00842905 0.00098080 0.00098080 -0.00011413 -9.04801534 1.05282800 1.05282800 -0.12250718 1.05282800 -0.12250718 -0.12250718 0.01425495 1.05282800 -0.12250718 -0.12250718 0.01425495 -0.12250718 0.01425495 0.01425495 -0.00165871 +DEAL::-57.15667461 1.19342878 1.19342878 -0.02491874 1.19342878 -0.02491874 -0.02491874 0.00052030 1.19342878 -0.02491874 -0.02491874 0.00052030 -0.02491874 0.00052030 0.00052030 -0.00001086 4.18628103 -0.08740936 -0.08740936 0.00182510 -0.08740936 0.00182510 0.00182510 -0.00003811 -0.08740936 0.00182510 0.00182510 -0.00003811 0.00182510 -0.00003811 -0.00003811 0.00000080 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0.00165871 0.01425495 0.01425495 0.12250718 0.01425495 0.12250718 0.12250718 1.05282800 0.01425495 0.12250718 0.12250718 1.05282800 0.12250718 1.05282800 1.05282800 9.04801534 -0.00011413 -0.00098080 -0.00098080 -0.00842905 -0.00098080 -0.00842905 -0.00842905 -0.07243933 -0.00098080 -0.00842905 -0.00842905 -0.07243933 -0.00842905 -0.07243933 -0.07243933 -0.62254440 +DEAL::0.00000080 0.00003811 0.00003811 0.00182510 0.00003811 0.00182510 0.00182510 0.08740936 0.00003811 0.00182510 0.00182510 0.08740936 0.00182510 0.08740936 0.08740936 4.18628103 0.00001086 0.00052030 0.00052030 0.02491874 0.00052030 0.02491874 0.02491874 1.19342878 0.00052030 0.02491874 0.02491874 1.19342878 0.02491874 1.19342878 1.19342878 57.15667461 DEAL:: DEAL::========== MappingFEField ========== -DEAL::2d Jacobians: +DEAL::2D Jacobians: DEAL::0.97416533 0.06643545 -0.03128628 0.58141017 DEAL::0.67100687 0.01733694 -0.02724953 1.06933838 DEAL::0.58578644 0 0 0.58578644 DEAL::0.03128628 -0.58141017 0.97416533 0.06643545 DEAL::-0.02724953 1.06933838 -0.67100687 -0.01733694 DEAL:: -DEAL::2d inverse Jacobians: +DEAL::2D inverse Jacobians: DEAL::1.02276649 -0.11686749 0.05503611 1.71366741 DEAL::1.48931714 -0.02414596 0.03795168 0.93454238 DEAL::1.70710678 0 0 1.70710678 DEAL::0.11686749 1.02276649 -1.71366741 0.05503611 DEAL::-0.02414596 -1.48931714 0.93454238 -0.03795168 DEAL:: -DEAL::2d Jacobian gradients: +DEAL::2D Jacobian gradients: DEAL::-0.00204199 -0.83033717 -0.83033717 -0.04134342 0.39107846 0.10981715 0.10981715 -0.63752903 DEAL::-0.90847214 -0.06185307 -0.06185307 0.57789806 0.02659837 -0.90774034 -0.90774034 -0.00223032 DEAL::0 0 0 0 0 0 0 0 DEAL::-0.39107846 -0.10981715 -0.10981715 0.63752903 -0.00204199 -0.83033717 -0.83033717 -0.04134342 DEAL::0.02659837 -0.90774034 -0.90774034 -0.00223032 0.90847214 0.06185307 0.06185307 -0.57789806 DEAL:: +DEAL::2D Jacobian pushed forward gradients: +DEAL::-0.09573910 -1.45363116 -1.45363116 0.21114729 0.41952008 0.08489561 0.08489561 -1.91084868 +DEAL::-2.02121050 -0.03286613 -0.03286613 0.50698033 -0.04362106 -1.26362399 -1.26362399 0.03903471 +DEAL::0 0 0 0 0 0 0 0 +DEAL::1.91084868 0.08489561 0.08489561 -0.41952008 0.21114729 1.45363116 1.45363116 -0.09573910 +DEAL::0.03903471 1.26362399 1.26362399 -0.04362106 -0.50698033 -0.03286613 -0.03286613 2.02121050 +DEAL:: +DEAL::2D Jacobian hessians: +DEAL::0.02552485 -0.00397235 -0.00397235 0.48963784 -0.00397235 0.48963784 0.48963784 0.25472252 0 -1.37271432 -1.37271432 -0.41873828 -1.37271432 -0.41873828 -0.41873828 2.28076825 +DEAL::2.33226343 0.21882107 0.21882107 -2.06176885 0.21882107 -2.06176885 -2.06176885 0 -0.09767762 0.88020553 0.88020553 0.05772899 0.88020553 0.05772899 0.05772899 -0.07434405 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 1.37271432 1.37271432 0.41873828 1.37271432 0.41873828 0.41873828 -2.28076825 0.02552485 -0.00397235 -0.00397235 0.48963784 -0.00397235 0.48963784 0.48963784 0.25472252 +DEAL::-0.09767762 0.88020553 0.88020553 0.05772899 0.88020553 0.05772899 0.05772899 -0.07434405 -2.33226343 -0.21882107 -0.21882107 2.06176885 -0.21882107 2.06176885 2.06176885 0 +DEAL:: +DEAL::2D Jacobian pushed forward hessians: +DEAL::0.03121516 0.08542163 0.08542163 1.50298970 0.08542163 1.50298970 1.50298970 0.77742851 -0.24059540 -2.51144202 -2.51144202 -0.31851412 -2.51144202 -0.31851412 -0.31851412 11.81260203 +DEAL::7.74639852 0.11033892 0.11033892 -2.69093892 0.11033892 -2.69093892 -2.69093892 0.13076273 -0.10001578 1.83338258 1.83338258 0.01329881 1.83338258 0.01329881 0.01329881 -0.06289175 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::11.81260203 0.31851412 0.31851412 -2.51144202 0.31851412 -2.51144202 -2.51144202 0.24059540 -0.77742851 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0.81893955 0.36536032 +DEAL::-0.54668582 1.82963624 0.28516306 1.82963624 1.20722858 0.15384488 0.28516306 0.15384488 -0.16437290 1.82963624 1.20722858 0.15384488 1.20722858 -3.43546980 -0.96311517 0.15384488 -0.96311517 1.83143790 0.28516306 0.15384488 -0.16437290 0.15384488 -0.96311517 1.83143790 -0.16437290 1.83143790 0.57578955 1.82963624 1.20722858 0.15384488 1.20722858 -3.43546980 -0.96311517 0.15384488 -0.96311517 1.83143790 1.20722858 -3.43546980 -0.96311517 -3.43546980 -2.60075476 -0.41861040 -0.96311517 -0.41861040 0.52075903 0.15384488 -0.96311517 1.83143790 -0.96311517 -0.41861040 0.52075903 1.83143790 0.52075903 0.14748495 0.28516306 0.15384488 -0.16437290 0.15384488 -0.96311517 1.83143790 -0.16437290 1.83143790 0.57578955 0.15384488 -0.96311517 1.83143790 -0.96311517 -0.41861040 0.52075903 1.83143790 0.52075903 0.14748495 -0.16437290 1.83143790 0.57578955 1.83143790 0.52075903 0.14748495 0.57578955 0.14748495 -0.33150181 0.55868243 0.14518936 -0.31580195 0.14518936 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3.53547674 0.23106284 -1.70428337 -0.32033692 -1.70428337 -0.10676361 2.78983682 -0.32033692 2.78983682 -0.12761989 -1.70428337 -0.10676361 2.78983682 -0.10676361 0.86611835 0.17931127 2.78983682 0.17931127 0.60795195 -0.32033692 2.78983682 -0.12761989 2.78983682 0.17931127 0.60795195 -0.12761989 0.60795195 0.10735403 -7.04365306 -0.32033692 -4.64393736 -0.32033692 2.78983682 -0.12761989 -4.64393736 -0.12761989 3.53547674 -0.32033692 2.78983682 -0.12761989 2.78983682 0.17931127 0.60795195 -0.12761989 0.60795195 0.10735403 -4.64393736 -0.12761989 3.53547674 -0.12761989 0.60795195 0.10735403 3.53547674 0.10735403 2.30731066 +DEAL::-0.54668582 1.82963624 0.28516306 1.82963624 1.20722858 0.15384488 0.28516306 0.15384488 -0.16437290 1.82963624 1.20722858 0.15384488 1.20722858 -3.43546980 -0.96311517 0.15384488 -0.96311517 1.83143790 0.28516306 0.15384488 -0.16437290 0.15384488 -0.96311517 1.83143790 -0.16437290 1.83143790 0.57578955 1.82963624 1.20722858 0.15384488 1.20722858 -3.43546980 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-1.38808894 1.65052784 0.41689189 0.04043882 0.41689189 -2.27664173 -1.38808894 0.04043882 -1.38808894 0.81893955 -0.31580195 1.65052784 0.08842279 1.65052784 0.41689189 0.04043882 0.08842279 0.04043882 -0.04731152 1.65052784 0.41689189 0.04043882 0.41689189 -2.27664173 -1.38808894 0.04043882 -1.38808894 0.81893955 0.08842279 0.04043882 -0.04731152 0.04043882 -1.38808894 0.81893955 -0.04731152 0.81893955 0.36536032 +DEAL::0.67837761 -5.24051353 0.13315067 -5.24051353 -0.68627008 -1.21102730 0.13315067 -1.21102730 -0.24500439 -5.24051353 -0.68627008 -1.21102730 -0.68627008 2.66520509 -0.05105687 -1.21102730 -0.05105687 2.31830009 0.13315067 -1.21102730 -0.24500439 -1.21102730 -0.05105687 2.31830009 -0.24500439 2.31830009 -0.08806853 -5.24051353 -0.68627008 -1.21102730 -0.68627008 2.66520509 -0.05105687 -1.21102730 -0.05105687 2.31830009 -0.68627008 2.66520509 -0.05105687 2.66520509 0.20191403 0.20246929 -0.05105687 0.20246929 0.04081939 -1.21102730 -0.05105687 2.31830009 -0.05105687 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0.30365886 -0.03910005 1.54373023 -0.10848768 26.46346990 -0.10848768 0.30365886 -0.03910005 26.46346990 -0.03910005 13.68061801 -0.00218242 -1.73211564 -0.10848768 -1.73211564 -0.00249975 0.30365886 -0.10848768 0.30365886 -0.03910005 -1.73211564 -0.00249975 0.30365886 -0.00249975 0.00828067 -0.56589103 0.30365886 -0.56589103 25.78705972 -0.10848768 0.30365886 -0.03910005 0.30365886 -0.56589103 25.78705972 -0.03910005 25.78705972 -5.36950721 1.54373023 -0.10848768 26.46346990 -0.10848768 0.30365886 -0.03910005 26.46346990 -0.03910005 13.68061801 -0.10848768 0.30365886 -0.03910005 0.30365886 -0.56589103 25.78705972 -0.03910005 25.78705972 -5.36950721 26.46346990 -0.03910005 13.68061801 -0.03910005 25.78705972 -5.36950721 13.68061801 -5.36950721 -11.33034968 +DEAL::16.58331999 3.16621164 -4.77152451 3.16621164 -27.67864026 -0.29922668 -4.77152451 -0.29922668 -28.06493798 3.16621164 -27.67864026 -0.29922668 -27.67864026 2.07562403 -0.01666685 -0.29922668 -0.01666685 -0.01750488 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-0.01750488 -3.70284331 -28.06493798 -0.01666685 -0.01750488 -0.29922668 -0.01750488 -3.70284331 -28.06493798 -0.29922668 -28.06493798 -4.77152451 2.07562403 -0.01666685 -27.67864026 -0.01666685 -0.01750488 -0.29922668 -27.67864026 -0.29922668 3.16621164 -0.01666685 -0.01750488 -0.29922668 -0.01750488 -3.70284331 -28.06493798 -0.29922668 -28.06493798 -4.77152451 -27.67864026 -0.29922668 3.16621164 -0.29922668 -28.06493798 -4.77152451 3.16621164 -4.77152451 16.58331999 +DEAL::-3.81757075 0.33624770 2.93319006 0.33624770 20.78785171 -0.08702206 2.93319006 -0.08702206 20.53388272 0.33624770 20.78785171 -0.08702206 20.78785171 -0.81760362 0.17667666 -0.08702206 0.17667666 0.05952003 2.93319006 -0.08702206 20.53388272 -0.08702206 0.17667666 0.05952003 20.53388272 0.05952003 -3.89886269 0.33624770 20.78785171 -0.08702206 20.78785171 -0.81760362 0.17667666 -0.08702206 0.17667666 0.05952003 20.78785171 -0.81760362 0.17667666 -0.81760362 0.02137373 -0.02007333 0.17667666 -0.02007333 -1.88600899 -0.08702206 0.17667666 0.05952003 0.17667666 -0.02007333 -1.88600899 0.05952003 -1.88600899 -0.02283573 2.93319006 -0.08702206 20.53388272 -0.08702206 0.17667666 0.05952003 20.53388272 0.05952003 -3.89886269 -0.08702206 0.17667666 0.05952003 0.17667666 -0.02007333 -1.88600899 0.05952003 -1.88600899 -0.02283573 20.53388272 0.05952003 -3.89886269 0.05952003 -1.88600899 -0.02283573 -3.89886269 -0.02283573 0.49059492 -3.09868185 -18.42973175 -0.15995927 -18.42973175 -0.78736789 -0.60443114 -0.15995927 -0.60443114 -0.37368149 -18.42973175 -0.78736789 -0.60443114 -0.78736789 3.23145399 0.07029435 -0.60443114 0.07029435 4.14331157 -0.15995927 -0.60443114 -0.37368149 -0.60443114 0.07029435 4.14331157 -0.37368149 4.14331157 0.10119587 -18.42973175 -0.78736789 -0.60443114 -0.78736789 3.23145399 0.07029435 -0.60443114 0.07029435 4.14331157 -0.78736789 3.23145399 0.07029435 3.23145399 -0.17073609 -0.22099825 0.07029435 -0.22099825 -0.11566997 -0.60443114 0.07029435 4.14331157 0.07029435 -0.22099825 -0.11566997 4.14331157 -0.11566997 -0.76905695 -0.15995927 -0.60443114 -0.37368149 -0.60443114 0.07029435 4.14331157 -0.37368149 4.14331157 0.10119587 -0.60443114 0.07029435 4.14331157 0.07029435 -0.22099825 -0.11566997 4.14331157 -0.11566997 -0.76905695 -0.37368149 4.14331157 0.10119587 4.14331157 -0.11566997 -0.76905695 0.10119587 -0.76905695 -0.01636928 -24.94982586 -0.23868612 -31.32136900 -0.23868612 -3.76853346 -0.35562695 -31.32136900 -0.35562695 -8.25331006 -0.23868612 -3.76853346 -0.35562695 -3.76853346 0.18291996 4.92310594 -0.35562695 4.92310594 0.08651410 -31.32136900 -0.35562695 -8.25331006 -0.35562695 4.92310594 0.08651410 -8.25331006 0.08651410 8.25514339 -0.23868612 -3.76853346 -0.35562695 -3.76853346 0.18291996 4.92310594 -0.35562695 4.92310594 0.08651410 -3.76853346 0.18291996 4.92310594 0.18291996 -0.00572699 -0.19821924 4.92310594 -0.19821924 -0.65780149 -0.35562695 4.92310594 0.08651410 4.92310594 -0.19821924 -0.65780149 0.08651410 -0.65780149 -0.10821404 -31.32136900 -0.35562695 -8.25331006 -0.35562695 4.92310594 0.08651410 -8.25331006 0.08651410 8.25514339 -0.35562695 4.92310594 0.08651410 4.92310594 -0.19821924 -0.65780149 0.08651410 -0.65780149 -0.10821404 -8.25331006 0.08651410 8.25514339 0.08651410 -0.65780149 -0.10821404 8.25514339 -0.10821404 -1.84660669 +DEAL::-0.10520384 -0.81720289 -0.32531304 -0.81720289 6.52359321 -0.65571900 -0.32531304 -0.65571900 0.42917570 -0.81720289 6.52359321 -0.65571900 6.52359321 -62.04170752 -2.83346959 -0.65571900 -2.83346959 4.11338295 -0.32531304 -0.65571900 0.42917570 -0.65571900 -2.83346959 4.11338295 0.42917570 4.11338295 -0.52978223 -0.81720289 6.52359321 -0.65571900 6.52359321 -62.04170752 -2.83346959 -0.65571900 -2.83346959 4.11338295 6.52359321 -62.04170752 -2.83346959 -62.04170752 27.21130917 -0.63451800 -2.83346959 -0.63451800 3.34726322 -0.65571900 -2.83346959 4.11338295 -2.83346959 -0.63451800 3.34726322 4.11338295 3.34726322 -0.49147588 -0.32531304 -0.65571900 0.42917570 -0.65571900 -2.83346959 4.11338295 0.42917570 4.11338295 -0.52978223 -0.65571900 -2.83346959 4.11338295 -2.83346959 -0.63451800 3.34726322 4.11338295 3.34726322 -0.49147588 0.42917570 4.11338295 -0.52978223 4.11338295 3.34726322 -0.49147588 -0.52978223 -0.49147588 0.04783831 0.10375554 2.07562403 0.02130032 2.07562403 27.67864026 -0.01666685 0.02130032 -0.01666685 -1.67007333 2.07562403 27.67864026 -0.01666685 27.67864026 3.16621164 0.29922668 -0.01666685 0.29922668 -0.01750488 0.02130032 -0.01666685 -1.67007333 -0.01666685 0.29922668 -0.01750488 -1.67007333 -0.01750488 0.02092210 2.07562403 27.67864026 -0.01666685 27.67864026 3.16621164 0.29922668 -0.01666685 0.29922668 -0.01750488 27.67864026 3.16621164 0.29922668 3.16621164 -16.58331999 -4.77152451 0.29922668 -4.77152451 28.06493798 -0.01666685 0.29922668 -0.01750488 0.29922668 -4.77152451 28.06493798 -0.01750488 28.06493798 -3.70284331 0.02130032 -0.01666685 -1.67007333 -0.01666685 0.29922668 -0.01750488 -1.67007333 -0.01750488 0.02092210 -0.01666685 0.29922668 -0.01750488 0.29922668 -4.77152451 28.06493798 -0.01750488 28.06493798 -3.70284331 -1.67007333 -0.01750488 0.02092210 -0.01750488 28.06493798 -3.70284331 0.02092210 -3.70284331 0.32722866 -0.01629583 -0.26545493 0.32100003 -0.26545493 -2.75542371 4.20135651 0.32100003 4.20135651 -0.48730104 -0.26545493 -2.75542371 4.20135651 -2.75542371 -0.27383008 0.53999544 4.20135651 0.53999544 -0.31228784 0.32100003 4.20135651 -0.48730104 4.20135651 0.53999544 -0.31228784 -0.48730104 -0.31228784 0.09232980 -0.26545493 -2.75542371 4.20135651 -2.75542371 -0.27383008 0.53999544 4.20135651 0.53999544 -0.31228784 -2.75542371 -0.27383008 0.53999544 -0.27383008 -29.81761856 -36.37088508 0.53999544 -36.37088508 -5.20573041 4.20135651 0.53999544 -0.31228784 0.53999544 -36.37088508 -5.20573041 -0.31228784 -5.20573041 0.49956387 0.32100003 4.20135651 -0.48730104 4.20135651 0.53999544 -0.31228784 -0.48730104 -0.31228784 0.09232980 4.20135651 0.53999544 -0.31228784 0.53999544 -36.37088508 -5.20573041 -0.31228784 -5.20573041 0.49956387 -0.48730104 -0.31228784 0.09232980 -0.31228784 -5.20573041 0.49956387 0.09232980 0.49956387 -0.01532273 +DEAL::-0.17073609 -3.23145399 -0.22099825 -3.23145399 -0.78736789 -0.07029435 -0.22099825 -0.07029435 -0.11566997 -3.23145399 -0.78736789 -0.07029435 -0.78736789 18.42973175 -0.60443114 -0.07029435 -0.60443114 -4.14331157 -0.22099825 -0.07029435 -0.11566997 -0.07029435 -0.60443114 -4.14331157 -0.11566997 -4.14331157 -0.76905695 -3.23145399 -0.78736789 -0.07029435 -0.78736789 18.42973175 -0.60443114 -0.07029435 -0.60443114 -4.14331157 -0.78736789 18.42973175 -0.60443114 18.42973175 -3.09868185 0.15995927 -0.60443114 0.15995927 -0.37368149 -0.07029435 -0.60443114 -4.14331157 -0.60443114 0.15995927 -0.37368149 -4.14331157 -0.37368149 -0.10119587 -0.22099825 -0.07029435 -0.11566997 -0.07029435 -0.60443114 -4.14331157 -0.11566997 -4.14331157 -0.76905695 -0.07029435 -0.60443114 -4.14331157 -0.60443114 0.15995927 -0.37368149 -4.14331157 -0.37368149 -0.10119587 -0.11566997 -4.14331157 -0.76905695 -4.14331157 -0.37368149 -0.10119587 -0.76905695 -0.10119587 -0.01636928 -0.02137373 -0.81760362 0.02007333 -0.81760362 -20.78785171 0.17667666 0.02007333 0.17667666 1.88600899 -0.81760362 -20.78785171 0.17667666 -20.78785171 0.33624770 0.08702206 0.17667666 0.08702206 0.05952003 0.02007333 0.17667666 1.88600899 0.17667666 0.08702206 0.05952003 1.88600899 0.05952003 0.02283573 -0.81760362 -20.78785171 0.17667666 -20.78785171 0.33624770 0.08702206 0.17667666 0.08702206 0.05952003 -20.78785171 0.33624770 0.08702206 0.33624770 3.81757075 2.93319006 0.08702206 2.93319006 -20.53388272 0.17667666 0.08702206 0.05952003 0.08702206 2.93319006 -20.53388272 0.05952003 -20.53388272 -3.89886269 0.02007333 0.17667666 1.88600899 0.17667666 0.08702206 0.05952003 1.88600899 0.05952003 0.02283573 0.17667666 0.08702206 0.05952003 0.08702206 2.93319006 -20.53388272 0.05952003 -20.53388272 -3.89886269 1.88600899 0.05952003 0.02283573 0.05952003 -20.53388272 -3.89886269 0.02283573 -3.89886269 -0.49059492 -0.00572699 -0.18291996 -0.19821924 -0.18291996 -3.76853346 -4.92310594 -0.19821924 -4.92310594 -0.65780149 -0.18291996 -3.76853346 -4.92310594 -3.76853346 0.23868612 -0.35562695 -4.92310594 -0.35562695 -0.08651410 -0.19821924 -4.92310594 -0.65780149 -4.92310594 -0.35562695 -0.08651410 -0.65780149 -0.08651410 -0.10821404 -0.18291996 -3.76853346 -4.92310594 -3.76853346 0.23868612 -0.35562695 -4.92310594 -0.35562695 -0.08651410 -3.76853346 0.23868612 -0.35562695 0.23868612 -24.94982586 31.32136900 -0.35562695 31.32136900 -8.25331006 -4.92310594 -0.35562695 -0.08651410 -0.35562695 31.32136900 -8.25331006 -0.08651410 -8.25331006 -8.25514339 -0.19821924 -4.92310594 -0.65780149 -4.92310594 -0.35562695 -0.08651410 -0.65780149 -0.08651410 -0.10821404 -4.92310594 -0.35562695 -0.08651410 -0.35562695 31.32136900 -8.25331006 -0.08651410 -8.25331006 -8.25514339 -0.65780149 -0.08651410 -0.10821404 -0.08651410 -8.25331006 -8.25514339 -0.10821404 -8.25514339 -1.84660669 +DEAL:: diff --git a/tests/fe/jacobians_face.cc b/tests/fe/jacobians_face.cc index 2a7dbe1c67..5992600910 100644 --- a/tests/fe/jacobians_face.cc +++ b/tests/fe/jacobians_face.cc @@ -29,127 +29,324 @@ template void test() { - Triangulation tria; - GridGenerator::hyper_ball (tria); - static const HyperBallBoundary boundary; - tria.set_boundary (0, boundary); - tria.begin_active()->set_refine_flag(); - tria.execute_coarsening_and_refinement(); - - MappingQ mapping(3); - FE_Nothing dummy; - // choose a point that is not right in the middle of the cell so that the - // Jacobian contains many nonzero entries - Point quad_p; - for (int d=0; d quad(quad_p); - FEFaceValues fe_val (mapping, dummy, quad, - update_jacobians | update_inverse_jacobians | - update_jacobian_grads); - FESubfaceValues fe_sub_val (mapping, dummy, quad, - update_jacobians | update_inverse_jacobians | - update_jacobian_grads); - deallog << dim << "d Jacobians:" << std::endl; - typename Triangulation::active_cell_iterator - cell = tria.begin_active(), endc = tria.end(); - for ( ; cell != endc; ++cell) - for (unsigned int f=0; f::faces_per_cell; ++f) - { - fe_val.reinit (cell, f); - - for (unsigned int d=0; dat_boundary(f) == false && - cell->neighbor(f)->level() < cell->level()) - { - fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), - cell->neighbor_of_coarser_neighbor(f).second); - - for (unsigned int d=0; d::faces_per_cell; ++f) - { - fe_val.reinit (cell, f); - - for (unsigned int d=0; dat_boundary(f) == false && - cell->neighbor(f)->level() < cell->level()) - { - fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), - cell->neighbor_of_coarser_neighbor(f).second); - - for (unsigned int d=0; d::faces_per_cell; ++f) - { - fe_val.reinit (cell, f); - - for (unsigned int d=0; dat_boundary(f) == false && - cell->neighbor(f)->level() < cell->level()) - { - fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), - cell->neighbor_of_coarser_neighbor(f).second); - - for (unsigned int d=0; d tria; + GridGenerator::hyper_ball (tria); + static const HyperBallBoundary boundary; + tria.set_boundary (0, boundary); + tria.begin_active()->set_refine_flag(); + tria.execute_coarsening_and_refinement(); + + MappingQ mapping(5); + FE_Nothing dummy; + // choose a point that is not right in the middle of the cell so that the + // Jacobian contains many nonzero entries + Point quad_p; + for (int d=0; d quad(quad_p); + + { + FEFaceValues fe_val (mapping, dummy, quad, update_jacobians); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobians); + + deallog << dim << "D Jacobians:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_inverse_jacobians); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_inverse_jacobians); + + deallog << dim << "D inverse Jacobians:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_grads); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_grads); + + deallog << dim << "D Jacobian gradients:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_pushed_forward_grads); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_pushed_forward_grads); + + deallog << dim << "D Jacobian pushed forward gradients:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_2nd_derivatives); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_2nd_derivatives); + + deallog << dim << "D Jacobian hessians:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_pushed_forward_2nd_derivatives); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_pushed_forward_2nd_derivatives); + + deallog << dim << "D Jacobian pushed forward hessians:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_3rd_derivatives); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_3rd_derivatives); + + deallog << dim << "D Jacobian hessian gradients:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_pushed_forward_3rd_derivatives); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_pushed_forward_3rd_derivatives); + + deallog << dim << "D Jacobian pushed forward hessian gradients:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d(); - test<3>(); + test<2>(); + test<3>(); - return 0; + return 0; } diff --git a/tests/fe/jacobians_face.output b/tests/fe/jacobians_face.output index 6846c5b81b..cc891e3459 100644 --- a/tests/fe/jacobians_face.output +++ b/tests/fe/jacobians_face.output @@ -1,451 +1,1201 @@ -DEAL::2d Jacobians: -DEAL::1.23963445 -0.18547181 0.12412324 1.55786718 -DEAL::0.53368238 0 0.07513814 0.58578644 -DEAL::0.41421356 -0.28894903 0.41421356 1.06007883 -DEAL::0.41421356 0.28894903 -0.41421356 1.06007883 +DEAL::2D Jacobians: +DEAL::1.27787374 -0.19674372 0.13022827 1.55841027 +DEAL::0.49256520 0 0.06628460 0.58578644 +DEAL::0.41421356 -0.24846496 0.41421356 1.04961467 +DEAL::0.41421356 0.24846496 -0.41421356 1.04961467 DEAL::0.58578644 0 0 0.58578644 DEAL::0.58578644 0 0 0.58578644 DEAL::0.58578644 0 0 0.58578644 DEAL::0.58578644 0 0 0.58578644 -DEAL::0.28894903 -0.41421356 1.06007883 0.41421356 -DEAL::-0.28894903 -0.41421356 1.06007883 -0.41421356 -DEAL::0.18547181 -1.23963445 1.55786718 0.12412324 -DEAL::0 -0.53368238 0.58578644 0.07513814 -DEAL::0.12412324 1.55786718 -1.23963445 0.18547181 -DEAL::0.07513814 0.58578644 -0.53368238 0 -DEAL::0.41421356 1.06007883 -0.41421356 0.28894903 -DEAL::-0.41421356 1.06007883 -0.41421356 -0.28894903 -DEAL::0.59041686 0.20710678 -0.30101918 0.20710678 -DEAL::0.41421356 -0.60030292 0.41421356 1.15104508 -DEAL::0.64835562 0 -0.16114263 0.35355339 -DEAL::0.70557057 0.20974632 -0.34485147 0.46555678 -DEAL::0.50000000 0.13315220 -0.14644661 0.29709503 -DEAL::0.64835562 0 0.16114263 0.35355339 -DEAL::0.59041686 -0.20710678 0.30101918 0.20710678 -DEAL::0.60030292 -0.41421356 1.15104508 0.41421356 -DEAL::0.74276054 -0.16287016 0.25506692 0.49467915 -DEAL::0.50000000 -0.09790993 0.14644661 0.32139848 +DEAL::0.24846496 -0.41421356 1.04961467 0.41421356 +DEAL::-0.24846496 -0.41421356 1.04961467 -0.41421356 +DEAL::0.19674372 -1.27787374 1.55841027 0.13022827 +DEAL::0 -0.49256520 0.58578644 0.06628460 +DEAL::0.13022827 1.55841027 -1.27787374 0.19674372 +DEAL::0.06628460 0.58578644 -0.49256520 0 +DEAL::0.41421356 1.04961467 -0.41421356 0.24846496 +DEAL::-0.41421356 1.04961467 -0.41421356 -0.24846496 +DEAL::0.59317065 0.20710678 -0.29079512 0.20710678 +DEAL::0.41421356 -0.49867757 0.41421356 1.19129363 +DEAL::0.64307335 0 -0.17031936 0.35355339 +DEAL::0.70530999 0.21285746 -0.34552552 0.47127083 +DEAL::0.50000000 0.12789372 -0.14644661 0.28739858 +DEAL::0.64307335 0 0.17031936 0.35355339 +DEAL::0.59317065 -0.20710678 0.29079512 0.20710678 +DEAL::0.49867757 -0.41421356 1.19129363 0.41421356 +DEAL::0.74305292 -0.16471070 0.25440604 0.50091950 +DEAL::0.50000000 -0.09477182 0.14644661 0.31082375 DEAL::0.41301515 0.20710678 -0.08493903 0.20710678 -DEAL::0.41421356 -0.10529159 0.41421356 0.81807057 +DEAL::0.41421356 -0.08237781 0.41421356 0.82736172 DEAL::0.41301515 0 -0.08493903 0.35355339 DEAL::0.50000000 0.12012193 -0.14644661 0.26861436 DEAL::0.29289322 0.12012193 0 0.26861436 DEAL::0.58578644 0 0 0.58578644 DEAL::0.41301515 0 0.08493903 0.35355339 DEAL::0.41301515 -0.20710678 0.08493903 0.20710678 -DEAL::0.10529159 -0.41421356 0.81807057 0.41421356 +DEAL::0.08237781 -0.41421356 0.82736172 0.41421356 DEAL::0.50000000 -0.08698485 0.14644661 0.29204581 DEAL::0.29289322 -0.08698485 0 0.29204581 DEAL::0.58578644 0 0 0.58578644 DEAL:: -DEAL::2d inverse Jacobians: -DEAL::0.79718629 0.09490898 -0.06351591 0.63434136 -DEAL::1.87377370 0 -0.24034676 1.70710678 -DEAL::1.89711181 0.51710175 -0.74127453 0.74127453 -DEAL::1.89711181 -0.51710175 0.74127453 0.74127453 +DEAL::2D inverse Jacobians: +DEAL::0.77260969 0.09753921 -0.06456299 0.63352871 +DEAL::2.03018809 0 -0.22972570 1.70710678 +DEAL::1.95210980 0.46210377 -0.77036876 0.77036876 +DEAL::1.95210980 -0.46210377 0.77036876 0.77036876 DEAL::1.70710678 0 0 1.70710678 DEAL::1.70710678 0 0 1.70710678 DEAL::1.70710678 0 0 1.70710678 DEAL::1.70710678 0 0 1.70710678 -DEAL::0.74127453 0.74127453 -1.89711181 0.51710175 -DEAL::-0.74127453 0.74127453 -1.89711181 -0.51710175 -DEAL::0.06351591 0.63434136 -0.79718629 0.09490898 -DEAL::0.24034676 1.70710678 -1.87377370 0 -DEAL::0.09490898 -0.79718629 0.63434136 0.06351591 -DEAL::0 -1.87377370 1.70710678 0.24034676 -DEAL::0.51710175 -1.89711181 0.74127453 0.74127453 -DEAL::-0.51710175 -1.89711181 0.74127453 -0.74127453 -DEAL::1.12178547 -1.12178547 1.63045818 3.19796894 -DEAL::1.58670272 0.82751084 -0.57098875 0.57098875 -DEAL::1.54236343 0 0.70297871 2.82842712 -DEAL::1.16152683 -0.52330025 0.86037676 1.76034199 -DEAL::1.76792606 -0.79235000 0.87146116 2.97535453 -DEAL::1.54236343 0 -0.70297871 2.82842712 -DEAL::1.12178547 1.12178547 -1.63045818 3.19796894 -DEAL::0.57098875 0.57098875 -1.58670272 0.82751084 -DEAL::1.20957041 0.39824384 -0.62367982 1.81616949 -DEAL::1.83616594 0.55936445 -0.83665697 2.85652558 +DEAL::0.77036876 0.77036876 -1.95210980 0.46210377 +DEAL::-0.77036876 0.77036876 -1.95210980 -0.46210377 +DEAL::0.06456299 0.63352871 -0.77260969 0.09753921 +DEAL::0.22972570 1.70710678 -2.03018809 0 +DEAL::0.09753921 -0.77260969 0.63352871 0.06456299 +DEAL::0 -2.03018809 1.70710678 0.22972570 +DEAL::0.46210377 -1.95210980 0.77036876 0.77036876 +DEAL::-0.46210377 -1.95210980 0.77036876 -0.77036876 +DEAL::1.13126551 -1.13126551 1.58839075 3.24003638 +DEAL::1.70182618 0.71238738 -0.59172606 0.59172606 +DEAL::1.55503257 0 0.74911503 2.82842712 +DEAL::1.16093799 -0.52435731 0.85117448 1.73747473 +DEAL::1.76938091 -0.78738282 0.90160445 3.07827013 +DEAL::1.55503257 0 -0.74911503 2.82842712 +DEAL::1.13126551 1.13126551 -1.58839075 3.24003638 +DEAL::0.59172606 0.59172606 -1.70182618 0.71238738 +DEAL::1.20962005 0.39774327 -0.61433951 1.79432365 +DEAL::1.83603357 0.55981641 -0.86505904 2.95349631 DEAL::2.00821688 -2.00821688 0.82361379 4.00481334 -DEAL::2.13891922 0.27529435 -1.08299868 1.08299868 +DEAL::2.19560415 0.21860941 -1.09921573 1.09921573 DEAL::2.42121868 0 0.58168294 2.82842712 DEAL::1.76837908 -0.79080328 0.96410752 3.29166896 DEAL::3.41421356 -1.52680571 0 3.72280920 DEAL::1.70710678 0 0 1.70710678 DEAL::2.42121868 0 -0.58168294 2.82842712 DEAL::2.00821688 2.00821688 -0.82361379 4.00481334 -DEAL::1.08299868 1.08299868 -2.13891922 0.27529435 +DEAL::1.09921573 1.09921573 -2.19560415 0.21860941 DEAL::1.83952492 0.54789621 -0.92243125 3.14937729 DEAL::3.41421356 1.01691184 0 3.42412029 DEAL::1.70710678 0 0 1.70710678 DEAL:: -DEAL::2d Jacobian gradients: -DEAL::-1.84633620 0.54214837 0.54214837 2.31839763 -0.17634636 -1.51354439 -1.51354439 0.29875970 -DEAL::0.43443205 0.07846884 0.07846884 0 0.07837616 -0.93340477 -0.93340477 0 -DEAL::0 1.03088442 1.03088442 0.57789806 0 -0.66806882 -0.66806882 0.03717203 -DEAL::0 -1.03088442 -1.03088442 0.57789806 0 -0.66806882 -0.66806882 -0.03717203 +DEAL::2D Jacobian gradients: +DEAL::-2.42495685 0.40905427 0.40905427 2.44674762 -0.28491207 -1.60805785 -1.60805785 0.30916752 +DEAL::-0.01003592 0.04878780 0.04878780 0 -0.00322984 -0.83208867 -0.83208867 0 +DEAL::0 0.81583673 0.81583673 -0.01299297 0 -0.76603213 -0.76603213 0.02680874 +DEAL::0 -0.81583673 -0.81583673 -0.01299297 0 -0.76603213 -0.76603213 -0.02680874 DEAL::0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 -DEAL::-0.57789806 -1.03088442 -1.03088442 0 0.03717203 -0.66806882 -0.66806882 0 -DEAL::-0.57789806 1.03088442 1.03088442 0 -0.03717203 -0.66806882 -0.66806882 0 -DEAL::-2.31839763 -0.54214837 -0.54214837 1.84633620 0.29875970 -1.51354439 -1.51354439 -0.17634636 -DEAL::0 -0.07846884 -0.07846884 -0.43443205 0 -0.93340477 -0.93340477 0.07837616 -DEAL::-0.17634636 -1.51354439 -1.51354439 0.29875970 1.84633620 -0.54214837 -0.54214837 -2.31839763 -DEAL::0.07837616 -0.93340477 -0.93340477 0 -0.43443205 -0.07846884 -0.07846884 0 -DEAL::0 -0.66806882 -0.66806882 0.03717203 0 -1.03088442 -1.03088442 -0.57789806 -DEAL::0 -0.66806882 -0.66806882 -0.03717203 0 1.03088442 1.03088442 -0.57789806 -DEAL::0.06235292 -0.08471018 -0.08471018 0 0.13804815 0.38807799 0.38807799 0 -DEAL::0 2.00320701 2.00320701 1.20060584 0 -0.15024142 -0.15024142 0.53519273 -DEAL::0.05352461 -0.29141850 -0.29141850 0 0.14170495 -0.11096004 -0.11096004 0 -DEAL::0.26791486 -0.23410942 -0.23410942 -0.20605054 0.54645813 0.31136944 0.31136944 -0.43821988 -DEAL::0 -0.21170570 -0.21170570 0.05286230 0 0.17060309 0.17060309 0.10129638 -DEAL::-0.05352461 -0.29141850 -0.29141850 0 0.14170495 0.11096004 0.11096004 0 -DEAL::-0.06235292 -0.08471018 -0.08471018 0 0.13804815 -0.38807799 -0.38807799 0 -DEAL::-1.20060584 -2.00320701 -2.00320701 0 0.53519273 -0.15024142 -0.15024142 0 -DEAL::-0.19695983 -0.34281858 -0.34281858 0.16416851 0.57584866 -0.04892231 -0.04892231 -0.45556798 -DEAL::0 -0.22743992 -0.22743992 -0.03424807 0 -0.13261732 -0.13261732 0.10900665 +DEAL::0.01299297 -0.81583673 -0.81583673 0 0.02680874 -0.76603213 -0.76603213 0 +DEAL::0.01299297 0.81583673 0.81583673 0 -0.02680874 -0.76603213 -0.76603213 0 +DEAL::-2.44674762 -0.40905427 -0.40905427 2.42495685 0.30916752 -1.60805785 -1.60805785 -0.28491207 +DEAL::0 -0.04878780 -0.04878780 0.01003592 0 -0.83208867 -0.83208867 -0.00322984 +DEAL::-0.28491207 -1.60805785 -1.60805785 0.30916752 2.42495685 -0.40905427 -0.40905427 -2.44674762 +DEAL::-0.00322984 -0.83208867 -0.83208867 0 0.01003592 -0.04878780 -0.04878780 0 +DEAL::0 -0.76603213 -0.76603213 0.02680874 0 -0.81583673 -0.81583673 0.01299297 +DEAL::0 -0.76603213 -0.76603213 -0.02680874 0 0.81583673 0.81583673 0.01299297 +DEAL::0.00336446 -0.11791758 -0.11791758 0 -0.00173036 0.34093838 0.34093838 0 +DEAL::0 1.74686124 1.74686124 0.07696290 0 -0.43833266 -0.43833266 -0.08507888 +DEAL::-0.00360259 -0.28156694 -0.28156694 0 0.00115548 -0.05414613 -0.05414613 0 +DEAL::0.27136875 -0.26526376 -0.26526376 -0.26719282 0.55393126 0.26561362 0.26561362 -0.55171070 +DEAL::0 -0.20293762 -0.20293762 -0.00295150 0 0.15750551 0.15750551 -0.00545656 +DEAL::0.00360259 -0.28156694 -0.28156694 0 0.00115548 0.05414613 0.05414613 0 +DEAL::-0.00336446 -0.11791758 -0.11791758 0 -0.00173036 -0.34093838 -0.34093838 0 +DEAL::-0.07696290 -1.74686124 -1.74686124 0 -0.08507888 -0.43833266 -0.43833266 0 +DEAL::-0.19980187 -0.33249378 -0.33249378 0.20118453 0.58357523 -0.10330600 -0.10330600 -0.57905223 +DEAL::0 -0.21197856 -0.21197856 0.00177134 0 -0.13567874 -0.13567874 -0.00594540 DEAL::0 -0.20710678 -0.20710678 0 0 0.14644661 0.14644661 0 -DEAL::0 0.36695330 0.36695330 0.21058318 0 -0.90934959 -0.90934959 0.04775839 +DEAL::0 0.37808090 0.37808090 -0.04311801 0 -0.80429360 -0.80429360 -0.05397935 DEAL::0 -0.20710678 -0.20710678 0 0 0.14644661 0.14644661 0 DEAL::0 -0.20710678 -0.20710678 0 0 0.14644661 0.14644661 0 DEAL::0 -0.20710678 -0.20710678 0 0 0.14644661 0.14644661 0 DEAL::0 0 0 0 0 0 0 0 DEAL::0 -0.20710678 -0.20710678 0 0 -0.14644661 -0.14644661 0 DEAL::0 -0.20710678 -0.20710678 0 0 -0.14644661 -0.14644661 0 -DEAL::-0.21058318 -0.36695330 -0.36695330 0 0.04775839 -0.90934959 -0.90934959 0 +DEAL::0.04311801 -0.37808090 -0.37808090 0 -0.05397935 -0.80429360 -0.80429360 0 DEAL::0 -0.20710678 -0.20710678 0 0 -0.14644661 -0.14644661 0 DEAL::0 -0.20710678 -0.20710678 0 0 -0.14644661 -0.14644661 0 DEAL::0 0 0 0 0 0 0 0 DEAL:: -DEAL::3d Jacobians: -DEAL::0.81350031 -0.01391837 0.44040642 -0.01226796 0.76623426 0.05864280 -0.12782348 -0.01391837 0.44040642 -DEAL::0.81350031 0.01391837 -0.44040642 0.01226796 0.76623426 0.05864280 0.12782348 -0.01391837 0.44040642 -DEAL::0.84873518 0.00765757 -0.02313163 0.00771271 0.91107165 0.48026545 0.00771271 -0.20424138 0.48026545 -DEAL::0.84873518 -0.00765757 -0.02313163 -0.00771271 0.91107165 -0.48026545 0.00771271 0.20424138 0.48026545 -DEAL::1.54975902 0.00633378 0.17578641 0.00928390 1.69941646 -0.08802805 -0.17567935 0.06510834 1.64714337 -DEAL::0.42264973 0 0.07640727 0 0.42264973 -0.03234765 0 0 0.53910786 -DEAL::0.20424138 -0.48026545 -0.00771271 0.91107165 0.48026545 0.00771271 0.00765757 -0.02313163 0.84873518 -DEAL::-0.20424138 -0.48026545 -0.00771271 0.91107165 -0.48026545 -0.00771271 -0.00765757 -0.02313163 0.84873518 -DEAL::-0.06510834 -1.64714337 0.17567935 1.69941646 -0.08802805 0.00928390 0.00633378 0.17578641 1.54975902 -DEAL::0 -0.53910786 0 0.42264973 0.08635470 0 0 -0.02861737 0.42264973 -DEAL::0.01391837 -0.44040642 0.12782348 0.76623426 0.05864280 -0.01226796 -0.01391837 0.44040642 0.81350031 -DEAL::0.01391837 -0.44040642 -0.12782348 0.76623426 0.05864280 0.01226796 0.01391837 -0.44040642 0.81350031 -DEAL::0.91107165 0.48026545 0.00771271 0.00765757 -0.02313163 0.84873518 0.20424138 -0.48026545 -0.00771271 -DEAL::0.82044863 -0.44040642 0.01391837 0.01337969 0.05864280 0.76623426 -0.12782348 -0.44040642 0.01391837 -DEAL::1.69941646 -0.08802805 0.00928390 0.00633378 0.17578641 1.54975902 -0.06510834 -1.64714337 0.17567935 -DEAL::0.42264973 0.08635470 0 0 -0.02861737 0.42264973 0 -0.53910786 0 -DEAL::0.76623426 0.05864280 -0.01226796 -0.01391837 0.44040642 0.81350031 0.01391837 -0.44040642 0.12782348 -DEAL::0.76623426 0.05864280 0.01226796 0.01391837 -0.44040642 0.81350031 0.01391837 -0.44040642 -0.12782348 -DEAL::1.64714337 -0.17567935 0.06510834 0.17578641 1.54975902 0.00633378 -0.08802805 0.00928390 1.69941646 -DEAL::0.53910786 0 0 0.07640727 0.42264973 0 -0.03234765 0 0.42264973 -DEAL::0.44040642 -0.12782348 -0.01391837 0.44040642 0.81350031 -0.01391837 0.05864280 -0.01226796 0.76623426 -DEAL::0.44040642 0.12782348 -0.01391837 -0.44040642 0.81350031 0.01391837 0.05864280 0.01226796 0.76623426 -DEAL::0.44040642 -0.01391837 -0.12782348 0.05864280 0.76623426 -0.01337969 0.44040642 -0.01391837 0.82044863 -DEAL::0.48026545 0.00771271 0.20424138 -0.02313163 0.84873518 -0.00765757 -0.48026545 -0.00771271 0.91107165 -DEAL::0.82044863 0.44040642 -0.01391837 -0.12782348 0.44040642 -0.01391837 -0.01337969 0.05864280 0.76623426 -DEAL::0.91107165 -0.48026545 -0.00771271 0.20424138 0.48026545 0.00771271 -0.00765757 -0.02313163 0.84873518 -DEAL::1.69941646 -0.08802805 0.00928390 0.06510834 1.64714337 -0.17567935 0.00633378 0.17578641 1.54975902 -DEAL::0.42264973 -0.03234765 0 0 0.53910786 0 0 0.07640727 0.42264973 -DEAL::0.84873518 -0.02313163 0.00754376 0.00771271 0.48026545 -0.20424138 0.00771271 0.48026545 0.90917487 -DEAL::0.76623426 0.05864280 0.01226796 -0.01391837 0.44040642 0.12782348 0.01391837 -0.44040642 0.81350031 -DEAL::0.17578641 1.54975902 0.00633378 -1.64714337 0.17567935 -0.06510834 -0.08802805 0.00928390 1.69941646 -DEAL::-0.02861737 0.42264973 0 -0.53910786 0 0 0.08635470 0 0.42264973 -DEAL::0.44040642 0.81350031 -0.01391837 -0.44040642 0.12782348 0.01391837 0.05864280 -0.01226796 0.76623426 -DEAL::-0.48026545 0.90917487 -0.00771271 -0.48026545 -0.20424138 -0.00771271 -0.02313163 -0.00754376 0.84873518 -DEAL::-0.02313163 0.84873518 0.00765757 -0.48026545 -0.00771271 0.20424138 0.48026545 0.00771271 0.91107165 -DEAL::0.05864280 0.76623426 0.01337969 -0.44040642 0.01391837 -0.12782348 -0.44040642 0.01391837 0.82044863 +DEAL::2D Jacobian pushed forward gradients: +DEAL::-1.47812907 -0.08517824 -0.08517824 1.00950657 -0.00835637 -0.81108675 -0.81108675 -0.07735987 +DEAL::-0.08687260 0.16908623 0.16908623 0 0.76283736 -2.88380952 -2.88380952 0 +DEAL::-2.46149392 0.94417245 0.94417245 0.57314903 2.31989641 -0.89520326 -0.89520326 -0.52948989 +DEAL::-2.46149392 -0.94417245 -0.94417245 0.57314903 -2.31989641 -0.89520326 -0.89520326 0.52948989 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::2.46149392 0.94417245 0.94417245 -0.57314903 2.31989641 0.89520326 0.89520326 -0.52948989 +DEAL::2.46149392 -0.94417245 -0.94417245 -0.57314903 -2.31989641 0.89520326 0.89520326 0.52948989 +DEAL::1.47812907 -0.08517824 -0.08517824 -1.00950657 -0.00835637 0.81108675 0.81108675 -0.07735987 +DEAL::0.08687260 0.16908623 0.16908623 0 0.76283736 2.88380952 2.88380952 0 +DEAL::-0.07735987 0.81108675 0.81108675 -0.00835637 -1.00950657 -0.08517824 -0.08517824 1.47812907 +DEAL::0 2.88380952 2.88380952 0.76283736 0 0.16908623 0.16908623 0.08687260 +DEAL::-0.52948989 0.89520326 0.89520326 2.31989641 -0.57314903 0.94417245 0.94417245 2.46149392 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-0.68552570 0.42654187 -0.65485170 -0.65485170 -0.50052927 +DEAL::-0.68510721 -1.32310967 -1.32310967 3.33132655 0.48444395 0.93557982 0.93557982 -2.35560359 +DEAL::-1.87705154 0.87372255 0.87372255 0.12960643 3.81701102 -1.68262368 -1.68262368 -0.45176366 +DEAL::-0.58337076 -1.41831706 -1.41831706 0 0.41250542 1.00290161 1.00290161 0 +DEAL::-0.70619584 -1.04764948 -1.04764948 1.07822383 0.49935586 0.74080005 0.74080005 -0.76241938 +DEAL::0 -2.63242363 -2.63242363 2.35439251 0 1.86140460 1.86140460 -1.66480691 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0.58337076 -1.41831706 -1.41831706 0 0.41250542 -1.00290161 -1.00290161 0 +DEAL::0.68510721 -1.32310967 -1.32310967 -3.33132655 0.48444395 -0.93557982 -0.93557982 -2.35560359 +DEAL::1.87705154 0.87372255 0.87372255 -0.12960643 3.81701102 1.68262368 1.68262368 -0.45176366 +DEAL::0.70285218 -1.09517267 -1.09517267 -0.71473871 0.49699154 -0.77440402 -0.77440402 -0.50539659 +DEAL::0 -2.42121868 -2.42121868 -1.44230342 0 -1.71206015 -1.71206015 -1.01986253 +DEAL::0 0 0 0 0 0 0 0 +DEAL:: +DEAL::2D Jacobian hessians: +DEAL::5.92218967 0.11780713 0.11780713 -5.32100790 0.11780713 -5.32100790 -5.32100790 0.47058057 0.98367978 3.64542754 3.64542754 -0.77150654 3.64542754 -0.77150654 -0.77150654 -3.84468683 +DEAL::0.73593558 -0.34389871 -0.34389871 -0.61336110 -0.34389871 -0.61336110 -0.61336110 0 0.02215239 -0.04525710 -0.04525710 0.12777239 -0.04525710 0.12777239 0.12777239 0 +DEAL::0 -2.33653513 -2.33653513 0.09507522 -2.33653513 0.09507522 0.09507522 3.05953736 0 -0.02947094 -0.02947094 0.42567303 -0.02947094 0.42567303 0.42567303 0.67786537 +DEAL::0 2.33653513 2.33653513 0.09507522 2.33653513 0.09507522 0.09507522 -3.05953736 0 -0.02947094 -0.02947094 -0.42567303 -0.02947094 -0.42567303 -0.42567303 0.67786537 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::-3.05953736 -0.09507522 -0.09507522 2.33653513 -0.09507522 2.33653513 2.33653513 0 0.67786537 0.42567303 0.42567303 -0.02947094 0.42567303 -0.02947094 -0.02947094 0 +DEAL::3.05953736 -0.09507522 -0.09507522 -2.33653513 -0.09507522 -2.33653513 -2.33653513 0 0.67786537 -0.42567303 -0.42567303 -0.02947094 -0.42567303 -0.02947094 -0.02947094 0 +DEAL::-0.47058057 5.32100790 5.32100790 -0.11780713 5.32100790 -0.11780713 -0.11780713 -5.92218967 -3.84468683 -0.77150654 -0.77150654 3.64542754 -0.77150654 3.64542754 3.64542754 0.98367978 +DEAL::0 0.61336110 0.61336110 0.34389871 0.61336110 0.34389871 0.34389871 -0.73593558 0 0.12777239 0.12777239 -0.04525710 0.12777239 -0.04525710 -0.04525710 0.02215239 +DEAL::0.98367978 3.64542754 3.64542754 -0.77150654 3.64542754 -0.77150654 -0.77150654 -3.84468683 -5.92218967 -0.11780713 -0.11780713 5.32100790 -0.11780713 5.32100790 5.32100790 -0.47058057 +DEAL::0.02215239 -0.04525710 -0.04525710 0.12777239 -0.04525710 0.12777239 0.12777239 0 -0.73593558 0.34389871 0.34389871 0.61336110 0.34389871 0.61336110 0.61336110 0 +DEAL::0 -0.02947094 -0.02947094 0.42567303 -0.02947094 0.42567303 0.42567303 0.67786537 0 2.33653513 2.33653513 -0.09507522 2.33653513 -0.09507522 -0.09507522 -3.05953736 +DEAL::0 -0.02947094 -0.02947094 -0.42567303 -0.02947094 -0.42567303 -0.42567303 0.67786537 0 -2.33653513 -2.33653513 -0.09507522 -2.33653513 -0.09507522 -0.09507522 3.05953736 +DEAL::0.37832415 0.05858853 0.05858853 -0.23408744 0.05858853 -0.23408744 -0.23408744 0 0.69219034 -0.00504705 -0.00504705 -0.56070369 -0.00504705 -0.56070369 -0.56070369 0 +DEAL::0 -7.53438817 -7.53438817 -2.01460286 -7.53438817 -2.01460286 -2.01460286 5.52235350 0 -4.25302352 -4.25302352 -0.80483505 -4.25302352 -0.80483505 -0.80483505 3.95796101 +DEAL::-0.22193691 -0.04499716 -0.04499716 0.23095256 -0.04499716 0.23095256 0.23095256 0 -0.75696805 0.03785954 0.03785954 0.56200220 0.03785954 0.56200220 0.56200220 0 +DEAL::-0.43515806 -0.52980823 -0.52980823 0.49034309 -0.52980823 0.49034309 0.49034309 0.65990968 0.21291544 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0.03968793 0.07343272 0.03968793 0.03968793 -0.05781101 0 -0.13159492 -0.13159492 -0.10548543 -0.13159492 -0.10548543 -0.10548543 0.14069615 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 -1.16746937 -1.16746937 -0.01041495 -1.16746937 -0.01041495 -0.01041495 1.24724177 0 -0.59067688 -0.59067688 -0.09569758 -0.59067688 -0.09569758 -0.09569758 0.56786733 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::-1.24724177 0.01041495 0.01041495 1.16746937 0.01041495 1.16746937 1.16746937 0 0.56786733 -0.09569758 -0.09569758 -0.59067688 -0.09569758 -0.59067688 -0.59067688 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL:: +DEAL::2D Jacobian pushed forward hessians: +DEAL::5.46251655 0.68962315 0.68962315 0.08706245 0.68962315 0.08706245 0.08706245 0.01099132 0.90732775 0.11454688 0.11454688 0.01446113 0.11454688 0.01446113 0.01446113 0.00182567 +DEAL::12.31625357 0 0 0 0 0 0 0 0.37073144 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::-2.79757509 -2.79757509 -2.79757509 -2.79757509 -2.79757509 -2.79757509 -2.79757509 -2.79757509 0.61982550 0.61982550 0.61982550 0.61982550 0.61982550 0.61982550 0.61982550 0.61982550 +DEAL::-2.79757509 2.79757509 2.79757509 -2.79757509 2.79757509 -2.79757509 -2.79757509 2.79757509 -0.61982550 0.61982550 0.61982550 -0.61982550 0.61982550 -0.61982550 -0.61982550 0.61982550 +DEAL::-0.00025329 -0.00248541 -0.00248541 -0.02438822 -0.00248541 -0.02438822 -0.02438822 -0.23931112 -0.00206939 -0.02030600 -0.02030600 -0.19925406 -0.02030600 -0.19925406 -0.19925406 -1.95519401 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0.00182567 -0.01446113 -0.01446113 0.11454688 -0.01446113 0.11454688 0.11454688 -0.90732775 -0.01099132 0.08706245 0.08706245 -0.68962315 0.08706245 -0.68962315 -0.68962315 5.46251655 +DEAL::0 0 0 0 0 0 0 -0.37073144 0 0 0 0 0 0 0 12.31625357 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::1.09543775 -1.09543775 -1.09543775 1.09543775 -1.09543775 1.09543775 1.09543775 -1.09543775 2.00423744 -2.00423744 -2.00423744 2.00423744 -2.00423744 2.00423744 2.00423744 -2.00423744 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::-1.66908324 0 0 0 0 0 0 0 -5.69280114 0 0 0 0 0 0 0 +DEAL::-1.36177104 0.61506696 0.61506696 -0.27780542 0.61506696 -0.27780542 -0.27780542 0.12547552 0.66629141 -0.30094180 -0.30094180 0.13592547 -0.30094180 0.13592547 0.13592547 -0.06139304 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::-1.66908324 0 0 0 0 0 0 0 5.69280114 0 0 0 0 0 0 0 +DEAL::1.09543775 1.09543775 1.09543775 1.09543775 1.09543775 1.09543775 1.09543775 1.09543775 -2.00423744 -2.00423744 -2.00423744 -2.00423744 -2.00423744 -2.00423744 -2.00423744 -2.00423744 +DEAL::-2.28831753 -2.28831753 -2.28831753 -2.28831753 -2.28831753 -2.28831753 -2.28831753 -2.28831753 1.64007458 1.64007458 1.64007458 1.64007458 1.64007458 1.64007458 1.64007458 1.64007458 +DEAL::-1.62213198 -0.53338409 -0.53338409 -0.17538560 -0.53338409 -0.17538560 -0.17538560 -0.05766971 -0.55627466 -0.18291240 -0.18291240 -0.06014465 -0.18291240 -0.06014465 -0.06014465 -0.01977657 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::-3.31306112 -3.31306112 -3.31306112 -3.31306112 -3.31306112 -3.31306112 -3.31306112 -3.31306112 1.50843182 1.50843182 1.50843182 1.50843182 1.50843182 1.50843182 1.50843182 1.50843182 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL:: +DEAL::2D Jacobian hessian gradients: +DEAL::-10.67110422 -6.18419848 -6.18419848 0.77444383 -6.18419848 0.77444383 0.77444383 7.79360654 -6.18419848 0.77444383 0.77444383 7.79360654 0.77444383 7.79360654 7.79360654 -5.88225712 -2.28893050 -13.44183818 -13.44183818 -2.79479665 -13.44183818 -2.79479665 -2.79479665 11.46735415 -13.44183818 -2.79479665 -2.79479665 11.46735415 -2.79479665 11.46735415 11.46735415 -0.74651960 +DEAL::0.29859603 -3.21755038 -3.21755038 3.85563771 -3.21755038 3.85563771 3.85563771 0.13175774 -3.21755038 3.85563771 3.85563771 0.13175774 3.85563771 0.13175774 0.13175774 0 0.36587573 -1.15244570 -1.15244570 3.10142693 -1.15244570 3.10142693 3.10142693 -1.30667449 -1.15244570 3.10142693 3.10142693 -1.30667449 3.10142693 -1.30667449 -1.30667449 0 +DEAL::0 11.90789601 11.90789601 -1.19790875 11.90789601 -1.19790875 -1.19790875 -10.36049207 11.90789601 -1.19790875 -1.19790875 -10.36049207 -1.19790875 -10.36049207 -10.36049207 -6.11907472 0 5.46807458 5.46807458 -8.19008136 5.46807458 -8.19008136 -8.19008136 -8.85177611 5.46807458 -8.19008136 -8.19008136 -8.85177611 -8.19008136 -8.85177611 -8.85177611 -4.38889716 +DEAL::0 -11.90789601 -11.90789601 -1.19790875 -11.90789601 -1.19790875 -1.19790875 10.36049207 -11.90789601 -1.19790875 -1.19790875 10.36049207 -1.19790875 10.36049207 10.36049207 -6.11907472 0 5.46807458 5.46807458 8.19008136 5.46807458 8.19008136 8.19008136 -8.85177611 5.46807458 8.19008136 8.19008136 -8.85177611 8.19008136 -8.85177611 -8.85177611 4.38889716 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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-1.30667449 3.10142693 -1.30667449 -1.30667449 0 -0.29859603 3.21755038 3.21755038 -3.85563771 3.21755038 -3.85563771 -3.85563771 -0.13175774 3.21755038 -3.85563771 -3.85563771 -0.13175774 -3.85563771 -0.13175774 -0.13175774 0 +DEAL::0 5.46807458 5.46807458 -8.19008136 5.46807458 -8.19008136 -8.19008136 -8.85177611 5.46807458 -8.19008136 -8.19008136 -8.85177611 -8.19008136 -8.85177611 -8.85177611 -4.38889716 0 -11.90789601 -11.90789601 1.19790875 -11.90789601 1.19790875 1.19790875 10.36049207 -11.90789601 1.19790875 1.19790875 10.36049207 1.19790875 10.36049207 10.36049207 6.11907472 +DEAL::0 5.46807458 5.46807458 8.19008136 5.46807458 8.19008136 8.19008136 -8.85177611 5.46807458 8.19008136 8.19008136 -8.85177611 8.19008136 -8.85177611 -8.85177611 4.38889716 0 11.90789601 11.90789601 1.19790875 11.90789601 1.19790875 1.19790875 -10.36049207 11.90789601 1.19790875 1.19790875 -10.36049207 1.19790875 -10.36049207 -10.36049207 6.11907472 +DEAL::-1.11122507 -2.08605568 -2.08605568 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-2.90941317 -2.90941317 -0.73804530 -2.90941317 -0.73804530 -0.73804530 3.35559825 -2.90941317 -0.73804530 -0.73804530 3.35559825 -0.73804530 3.35559825 3.35559825 0 +DEAL::1.11122507 -2.08605568 -2.08605568 1.14168724 -2.08605568 1.14168724 1.14168724 1.93668544 -2.08605568 1.14168724 1.14168724 1.93668544 1.14168724 1.93668544 1.93668544 0 -1.23751017 2.02847589 2.02847589 0.09793357 2.02847589 0.09793357 0.09793357 -2.80884711 2.02847589 0.09793357 0.09793357 -2.80884711 0.09793357 -2.80884711 -2.80884711 0 +DEAL::11.04470699 8.87471774 8.87471774 -29.75387152 8.87471774 -29.75387152 -29.75387152 -40.59427264 8.87471774 -29.75387152 -29.75387152 -40.59427264 -29.75387152 -40.59427264 -40.59427264 0 -22.72681948 -13.74764738 -13.74764738 34.16590055 -13.74764738 34.16590055 34.16590055 38.65513512 -13.74764738 34.16590055 34.16590055 38.65513512 34.16590055 38.65513512 38.65513512 0 +DEAL::0.12241630 0.13858435 0.13858435 0.09612521 0.13858435 0.09612521 0.09612521 -0.64786110 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-3.63990640 3.63990640 3.63990640 -3.63990640 -4.05356332 4.05356332 4.05356332 -4.05356332 4.05356332 -4.05356332 -4.05356332 4.05356332 4.05356332 -4.05356332 -4.05356332 4.05356332 -4.05356332 4.05356332 4.05356332 -4.05356332 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::-1.04429949 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -19.42258437 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::-0.60425064 0.27292004 0.27292004 -0.12326896 0.27292004 -0.12326896 -0.12326896 0.05567651 0.27292004 -0.12326896 -0.12326896 0.05567651 -0.12326896 0.05567651 0.05567651 -0.02514724 -1.23320673 0.55699872 0.55699872 -0.25157791 0.55699872 -0.25157791 -0.25157791 0.11362943 0.55699872 -0.25157791 -0.25157791 0.11362943 -0.25157791 0.11362943 0.11362943 -0.05132266 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::1.04429949 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -19.42258437 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::3.63990640 3.63990640 3.63990640 3.63990640 3.63990640 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+DEAL::2.36602540 0 0.34388779 0 0 -2.18952203 0 2.36602540 -0.12484957 +DEAL::1.29522966 -0.00351712 0.17062411 0.05300014 0.29753057 -1.93441489 0 1.07736019 1.07736019 +DEAL::1.29522966 0.00351712 0.17062411 0.05300014 -0.29753057 -1.93441489 0 1.07736019 -1.07736019 +DEAL::0.53843432 0.06771587 -0.02677351 -0.06546918 0.63413752 0.00060148 0.03253172 0.00027947 0.57941829 +DEAL::2.18682511 0 0 -0.33379405 2.36602540 0 0.12842511 0 2.36602540 +DEAL::1.93441489 0.29753057 0.05300014 -1.07736019 1.07736019 0 -0.17062411 -0.00351712 1.29522966 +DEAL::1.93441489 -0.29753057 0.05300014 1.07736019 1.07736019 0 -0.17062411 0.00351712 1.29522966 +DEAL::1.93938501 0.05300014 0.29256045 -0.16922970 1.29522966 -0.00491154 -1.08641263 0 1.08641263 +DEAL::1.72345425 -0.02436841 -0.35830078 0.05443093 1.17105876 -0.00202838 0.92849123 0 0.92849123 +DEAL::1.08641263 -1.08641263 0 0.29256045 1.93938501 0.05300014 -0.00491154 -0.16922970 1.29522966 +DEAL::0.92849123 0.92849123 0 -0.35830078 1.72345425 -0.02436841 -0.00202838 0.05443093 1.17105876 +DEAL::0.57941829 0.03253172 0.00027947 -0.02677351 0.53843432 0.06771587 0.00060148 -0.06546918 0.63413752 +DEAL::2.36602540 0.12842511 0 0 2.18682511 0 0 -0.33379405 2.36602540 +DEAL::1.17105876 0.05529329 0.00116601 -0.02436841 1.71825967 0.36349537 0 -0.91589567 0.91589567 +DEAL::1.29522966 -0.17062411 0.00351712 0.05300014 1.93441489 -0.29753057 0 1.07736019 1.07736019 +DEAL::0.06771587 -0.53843432 -0.02677351 0.63413752 0.06546918 0.00060148 0.00027947 -0.03253172 0.57941829 +DEAL::0 -2.18952203 0 2.36602540 -0.12484957 0 0 0.34388779 2.36602540 +DEAL::0.29753057 -1.93441489 0.05300014 1.07736019 1.07736019 0 -0.00351712 0.17062411 1.29522966 +DEAL::-0.36349537 -1.71825967 -0.02436841 0.91589567 -0.91589567 0 -0.00116601 -0.05529329 1.17105876 +DEAL::-0.02436841 -1.72345425 0.35830078 1.17105876 -0.05443093 0.00202838 0 0.92849123 0.92849123 +DEAL::0.05300014 -1.93938501 -0.29256045 1.29522966 0.16922970 0.00491154 0 -1.08641263 1.08641263 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.08488766 0 0 -1.26740939 2.36602540 0 -1.09662275 0 2.36602540 +DEAL::2.33165728 0 0 -1.28364582 2.36602540 0 -1.04406441 0 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.36602540 -1.09662275 0 0 2.08488766 0 0 -1.26740939 2.36602540 +DEAL::2.36602540 -1.04406441 0 0 2.33165728 0 0 -1.28364582 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.36602540 0 -1.26740939 0 2.36602540 -1.09662275 0 0 2.08488766 +DEAL::2.36602540 0 -1.28364582 0 2.36602540 -1.04406441 0 0 2.33165728 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::1.36213110 2.36602540 0 -2.08488766 0 0 1.01986550 0 2.36602540 +DEAL::1.30983155 2.36602540 0 -2.34024979 0 0 1.02811144 0 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.36602540 1.23775345 0 0 2.11113071 0 0 -1.27030225 2.36602540 +DEAL::2.36602540 1.18713736 0 0 2.35017477 0 0 -1.28605191 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.36602540 0 0.90272038 0 2.36602540 -1.10483122 0 0 2.01292265 +DEAL::2.36602540 0 0.90887254 0 2.36602540 -1.04482820 0 0 2.29331508 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.01292265 0 0 0.90272038 2.36602540 0 -1.10483122 0 2.36602540 +DEAL::2.29331508 0 0 0.90887254 2.36602540 0 -1.04482820 0 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::0 -2.08488766 0 2.36602540 1.01986550 0 0 1.36213110 2.36602540 +DEAL::0 -2.34024979 0 2.36602540 1.02811144 0 0 1.30983155 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.36602540 0 -1.27030225 0 2.36602540 1.23775345 0 0 2.11113071 +DEAL::2.36602540 0 -1.28605191 0 2.36602540 1.18713736 0 0 2.35017477 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::-0.98491156 2.36602540 0 -2.01292265 0 0 1.01285538 0 2.36602540 +DEAL::-0.92722320 2.36602540 0 -2.28936179 0 0 1.02186793 0 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::0 -2.11113071 0 2.36602540 -1.15685766 0 0 1.35882972 2.36602540 +DEAL::0 -2.35403856 0 2.36602540 -1.16871694 0 0 1.30913109 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.36602540 0 0.90515195 0 2.36602540 1.24639776 0 0 2.04007008 +DEAL::2.36602540 0 0.91112451 0 2.36602540 1.18847462 0 0 2.31261628 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.11113071 0 0 -1.27030225 2.36602540 0 1.23775345 0 2.36602540 +DEAL::2.35017477 0 0 -1.28605191 2.36602540 0 1.18713736 0 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.36602540 -1.10483122 0 0 2.01292265 0 0 0.90272038 2.36602540 +DEAL::2.36602540 -1.04482820 0 0 2.29331508 0 0 0.90887254 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.36602540 0 1.36213110 0 0 -2.08488766 0 2.36602540 1.01986550 +DEAL::2.36602540 0 1.30983155 0 0 -2.34024979 0 2.36602540 1.02811144 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::1.35882972 2.36602540 0 -2.11113071 0 0 -1.15685766 0 2.36602540 +DEAL::1.30913109 2.36602540 0 -2.35403856 0 0 -1.16871694 0 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.36602540 1.24639776 0 0 2.04007008 0 0 0.90515195 2.36602540 +DEAL::2.36602540 1.18847462 0 0 2.31261628 0 0 0.91112451 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.36602540 0 -0.98491156 0 0 -2.01292265 0 2.36602540 1.01285538 +DEAL::2.36602540 0 -0.92722320 0 0 -2.28936179 0 2.36602540 1.02186793 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.04007008 0 0 0.90515195 2.36602540 0 1.24639776 0 2.36602540 +DEAL::2.31261628 0 0 0.91112451 2.36602540 0 1.18847462 0 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::0 -2.01292265 0 2.36602540 1.01285538 0 0 -0.98491156 2.36602540 +DEAL::0 -2.28936179 0 2.36602540 1.02186793 0 0 -0.92722320 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.36602540 0 1.35882972 0 0 -2.11113071 0 2.36602540 -1.15685766 +DEAL::2.36602540 0 1.30913109 0 0 -2.35403856 0 2.36602540 -1.16871694 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::-0.98203654 2.36602540 0 -2.04007008 0 0 -1.14937673 0 2.36602540 +DEAL::-0.92708709 2.36602540 0 -2.30392059 0 0 -1.16231727 0 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::0 -2.04007008 0 2.36602540 -1.14937673 0 0 -0.98203654 2.36602540 +DEAL::0 -2.30392059 0 2.36602540 -1.16231727 0 0 -0.92708709 2.36602540 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 -DEAL::2.36602540 0 -0.98203654 0 0 -2.04007008 0 2.36602540 -1.14937673 +DEAL::2.36602540 0 -0.92708709 0 0 -2.30392059 0 2.36602540 -1.16231727 +DEAL:: +DEAL::3D Jacobian gradients: +DEAL::0.02777734 0.03344655 -0.82516948 0.03344655 0.22442283 0.06210218 -0.82516948 0.06210218 -0.22802600 0.00051555 0.17415900 0.05761159 0.17415900 0.00776911 -0.74955090 0.05761159 -0.74955090 -0.00941287 -0.00258760 -0.03880762 0.49931922 -0.03880762 0.22442283 0.06210218 0.49931922 0.06210218 -0.22802600 +DEAL::-0.02777734 0.03344655 -0.82516948 0.03344655 -0.22442283 -0.06210218 -0.82516948 -0.06210218 0.22802600 0.00051555 -0.17415900 -0.05761159 -0.17415900 0.00776911 -0.74955090 -0.05761159 -0.74955090 -0.00941287 -0.00258760 0.03880762 -0.49931922 0.03880762 0.22442283 0.06210218 -0.49931922 0.06210218 -0.22802600 +DEAL::-0.00610695 0.23545186 -0.77108296 0.23545186 0.00052105 -0.02480300 -0.77108296 -0.02480300 0.00785636 0.33219893 -0.01553191 -0.03316960 -0.01553191 0.00992539 -0.85096713 -0.03316960 -0.85096713 -0.33960652 0.33219893 0.02153381 -0.03316960 0.02153381 -0.05168895 0.70212371 -0.03316960 0.70212371 -0.33960652 +DEAL::-0.00610695 -0.23545186 -0.77108296 -0.23545186 0.00052105 0.02480300 -0.77108296 0.02480300 0.00785636 -0.33219893 -0.01553191 0.03316960 -0.01553191 -0.00992539 -0.85096713 0.03316960 -0.85096713 0.33960652 0.33219893 -0.02153381 -0.03316960 -0.02153381 -0.05168895 -0.70212371 -0.03316960 -0.70212371 -0.33960652 +DEAL::0.30766690 -0.08752884 -2.33667223 -0.08752884 0.23671977 -0.02212448 -2.33667223 -0.02212448 -0.50006325 -0.12701799 0.33877060 -0.03992106 0.33877060 -0.29051343 -3.41012228 -0.03992106 -3.41012228 0.37271573 2.42863828 0.03713670 0.57442299 0.03713670 2.81529938 -0.32561744 0.57442299 -0.32561744 -5.04051660 +DEAL::0 0 -0.80973566 0 0 -0.00141873 -0.80973566 -0.00141873 0.00347516 0 0 -0.00148673 0 0 -0.82760264 -0.00148673 -0.82760264 -0.01765495 0 0 0.02997780 0 0 -0.01724148 0.02997780 -0.01724148 0.11061538 +DEAL::0.05168895 -0.70212371 -0.02153381 -0.70212371 0.33960652 0.03316960 -0.02153381 0.03316960 -0.33219893 0.00992539 -0.85096713 -0.01553191 -0.85096713 -0.33960652 -0.03316960 -0.01553191 -0.03316960 0.33219893 0.00052105 -0.02480300 0.23545186 -0.02480300 0.00785636 -0.77108296 0.23545186 -0.77108296 -0.00610695 +DEAL::0.05168895 0.70212371 0.02153381 0.70212371 0.33960652 0.03316960 0.02153381 0.03316960 -0.33219893 -0.00992539 -0.85096713 -0.01553191 -0.85096713 0.33960652 0.03316960 -0.01553191 0.03316960 -0.33219893 0.00052105 0.02480300 -0.23545186 0.02480300 0.00785636 -0.77108296 -0.23545186 -0.77108296 -0.00610695 +DEAL::-2.81529938 0.32561744 -0.03713670 0.32561744 5.04051660 -0.57442299 -0.03713670 -0.57442299 -2.42863828 -0.29051343 -3.41012228 0.33877060 -3.41012228 0.37271573 -0.03992106 0.33877060 -0.03992106 -0.12701799 0.23671977 -0.02212448 -0.08752884 -0.02212448 -0.50006325 -2.33667223 -0.08752884 -2.33667223 0.30766690 +DEAL::0 -0.04599343 0 -0.04599343 -0.09699445 0.01096122 0 0.01096122 0 0 -0.83136954 0 -0.83136954 0.04794679 -0.00147544 0 -0.00147544 0 0 -0.00140481 0 -0.00140481 -0.00049991 -0.80382021 0 -0.80382021 0 +DEAL::-0.22442283 -0.06210218 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-0.81422580 -0.14231681 0.03959789 0 0.03959789 0 0 0.03556003 0 0.03556003 -0.09301727 -0.81980382 0 -0.81980382 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::-0.09301727 -0.81980382 0.03556003 -0.81980382 0 0 0.03556003 0 0 -0.15431283 0.09871704 0.09983855 0.09871704 0 0 0.09983855 0 0 -0.14231681 0.03959789 -0.81422580 0.03959789 0 0 -0.81422580 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 -0.81422580 0 -0.81422580 -0.14231681 0.03959789 0 0.03959789 0 0 0.03556003 0 0.03556003 -0.09301727 -0.81980382 0 -0.81980382 0 0 0.09983855 0 0.09983855 -0.15431283 0.09871704 0 0.09871704 0 DEAL:: -DEAL::3d Jacobian gradients: -DEAL::-0.02643148 0.03004810 -0.89081368 0.03004810 0.17397969 0.04885453 -0.89081368 0.04885453 -0.28361854 0.02453591 0.15443348 0.04296177 0.15443348 -0.00099692 -0.73298331 0.04296177 -0.73298331 -0.02018433 0.25564696 -0.02682012 0.49985198 -0.02682012 0.17397969 0.04885453 0.49985198 0.04885453 -0.28361854 -DEAL::0.02643148 0.03004810 -0.89081368 0.03004810 -0.17397969 -0.04885453 -0.89081368 -0.04885453 0.28361854 0.02453591 -0.15443348 -0.04296177 -0.15443348 -0.00099692 -0.73298331 -0.04296177 -0.73298331 -0.02018433 0.25564696 0.02682012 -0.49985198 0.02682012 0.17397969 0.04885453 -0.49985198 0.04885453 -0.28361854 -DEAL::-0.00108887 0.25526554 -0.77077242 0.25526554 -0.01531514 -0.03142155 -0.77077242 -0.03142155 0.01298562 0.25709041 -0.01610367 -0.02751667 -0.01610367 0.00125264 -0.68284691 -0.02751667 -0.68284691 -0.40415342 0.25709041 0.01823272 -0.02751667 0.01823272 0.40848276 0.89271996 -0.02751667 0.89271996 -0.40415342 -DEAL::-0.00108887 -0.25526554 -0.77077242 -0.25526554 -0.01531514 0.03142155 -0.77077242 0.03142155 0.01298562 -0.25709041 -0.01610367 0.02751667 -0.01610367 -0.00125264 -0.68284691 0.02751667 -0.68284691 0.40415342 0.25709041 -0.01823272 -0.02751667 -0.01823272 0.40848276 -0.89271996 -0.02751667 -0.89271996 -0.40415342 -DEAL::0.28729173 -0.07826379 -2.15979794 -0.07826379 0.21112596 -0.02143230 -2.15979794 -0.02143230 -0.31127040 -0.11604872 0.30841953 -0.03628009 0.30841953 -0.21360499 -2.92366182 -0.03628009 -2.92366182 0.18660499 2.19599189 0.02244116 0.59482489 0.02244116 2.17027806 -0.22013128 0.59482489 -0.22013128 -3.09504876 -DEAL::0 0 -0.94908266 0 0 -0.00325549 -0.94908266 -0.00325549 0.11251211 0 0 -0.00573181 0 0 -1.07652151 -0.00573181 -1.07652151 -0.07524420 0 0 0.07798633 0 0 -0.02888820 0.07798633 -0.02888820 0.87897774 -DEAL::-0.40848276 -0.89271996 -0.01823272 -0.89271996 0.40415342 0.02751667 -0.01823272 0.02751667 -0.25709041 0.00125264 -0.68284691 -0.01610367 -0.68284691 -0.40415342 -0.02751667 -0.01610367 -0.02751667 0.25709041 -0.01531514 -0.03142155 0.25526554 -0.03142155 0.01298562 -0.77077242 0.25526554 -0.77077242 -0.00108887 -DEAL::-0.40848276 0.89271996 0.01823272 0.89271996 0.40415342 0.02751667 0.01823272 0.02751667 -0.25709041 -0.00125264 -0.68284691 -0.01610367 -0.68284691 0.40415342 0.02751667 -0.01610367 0.02751667 -0.25709041 -0.01531514 0.03142155 -0.25526554 0.03142155 0.01298562 -0.77077242 -0.25526554 -0.77077242 -0.00108887 -DEAL::-2.17027806 0.22013128 -0.02244116 0.22013128 3.09504876 -0.59482489 -0.02244116 -0.59482489 -2.19599189 -0.21360499 -2.92366182 0.30841953 -2.92366182 0.18660499 -0.03628009 0.30841953 -0.03628009 -0.11604872 0.21112596 -0.02143230 -0.07826379 -0.02143230 -0.31127040 -2.15979794 -0.07826379 -2.15979794 0.28729173 -DEAL::0 -0.07798633 0 -0.07798633 -0.87897774 0.02888820 0 0.02888820 0 0 -1.06689191 0 -1.06689191 0.20048545 -0.00565150 0 -0.00565150 0 0 -0.00328170 0 -0.00328170 -0.04225420 -0.95307715 0 -0.95307715 0 -DEAL::-0.17397969 -0.04885453 0.02682012 -0.04885453 0.28361854 -0.49985198 0.02682012 -0.49985198 -0.25564696 -0.00099692 -0.73298331 0.15443348 -0.73298331 -0.02018433 0.04296177 0.15443348 0.04296177 0.02453591 0.17397969 0.04885453 0.03004810 0.04885453 -0.28361854 -0.89081368 0.03004810 -0.89081368 -0.02643148 -DEAL::-0.17397969 -0.04885453 -0.02682012 -0.04885453 0.28361854 0.49985198 -0.02682012 0.49985198 -0.25564696 -0.00099692 -0.73298331 -0.15443348 -0.73298331 -0.02018433 -0.04296177 -0.15443348 -0.04296177 0.02453591 -0.17397969 -0.04885453 0.03004810 -0.04885453 0.28361854 -0.89081368 0.03004810 -0.89081368 0.02643148 -DEAL::0.00125264 -0.68284691 -0.01610367 -0.68284691 -0.40415342 -0.02751667 -0.01610367 -0.02751667 0.25709041 -0.01531514 -0.03142155 0.25526554 -0.03142155 0.01298562 -0.77077242 0.25526554 -0.77077242 -0.00108887 -0.40848276 -0.89271996 -0.01823272 -0.89271996 0.40415342 0.02751667 -0.01823272 0.02751667 -0.25709041 -DEAL::0.06812144 -0.91562243 0.03461186 -0.91562243 0.28361854 -0.04885453 0.03461186 -0.04885453 -0.17397969 0.02675938 -0.04693117 -0.16759993 -0.04693117 -0.02018433 -0.73298331 -0.16759993 -0.73298331 -0.00099692 -0.25564696 0.49985198 -0.02682012 0.49985198 0.28361854 -0.04885453 -0.02682012 -0.04885453 -0.17397969 -DEAL::-0.21360499 -2.92366182 0.30841953 -2.92366182 0.18660499 -0.03628009 0.30841953 -0.03628009 -0.11604872 0.21112596 -0.02143230 -0.07826379 -0.02143230 -0.31127040 -2.15979794 -0.07826379 -2.15979794 0.28729173 -2.17027806 0.22013128 -0.02244116 0.22013128 3.09504876 -0.59482489 -0.02244116 -0.59482489 -2.19599189 -DEAL::0 -1.06689191 0 -1.06689191 0.20048545 -0.00565150 0 -0.00565150 0 0 -0.00328170 0 -0.00328170 -0.04225420 -0.95307715 0 -0.95307715 0 0 -0.07798633 0 -0.07798633 -0.87897774 0.02888820 0 0.02888820 0 -DEAL::-0.00099692 -0.73298331 0.15443348 -0.73298331 -0.02018433 0.04296177 0.15443348 0.04296177 0.02453591 0.17397969 0.04885453 0.03004810 0.04885453 -0.28361854 -0.89081368 0.03004810 -0.89081368 -0.02643148 -0.17397969 -0.04885453 0.02682012 -0.04885453 0.28361854 -0.49985198 0.02682012 -0.49985198 -0.25564696 -DEAL::-0.00099692 -0.73298331 -0.15443348 -0.73298331 -0.02018433 -0.04296177 -0.15443348 -0.04296177 0.02453591 -0.17397969 -0.04885453 0.03004810 -0.04885453 0.28361854 -0.89081368 0.03004810 -0.89081368 0.02643148 -0.17397969 -0.04885453 -0.02682012 -0.04885453 0.28361854 0.49985198 -0.02682012 0.49985198 -0.25564696 -DEAL::-3.09504876 0.59482489 -0.22013128 0.59482489 2.19599189 0.02244116 -0.22013128 0.02244116 2.17027806 -0.31127040 -2.15979794 -0.02143230 -2.15979794 0.28729173 -0.07826379 -0.02143230 -0.07826379 0.21112596 0.18660499 -0.03628009 -2.92366182 -0.03628009 -0.11604872 0.30841953 -2.92366182 0.30841953 -0.21360499 -DEAL::0.87897774 0.07798633 -0.02888820 0.07798633 0 0 -0.02888820 0 0 0.11251211 -0.94908266 -0.00325549 -0.94908266 0 0 -0.00325549 0 0 -0.07524420 -0.00573181 -1.07652151 -0.00573181 0 0 -1.07652151 0 0 -DEAL::-0.28361854 0.49985198 0.04885453 0.49985198 0.25564696 -0.02682012 0.04885453 -0.02682012 0.17397969 -0.28361854 -0.89081368 0.04885453 -0.89081368 -0.02643148 0.03004810 0.04885453 0.03004810 0.17397969 -0.02018433 0.04296177 -0.73298331 0.04296177 0.02453591 0.15443348 -0.73298331 0.15443348 -0.00099692 -DEAL::-0.28361854 -0.49985198 0.04885453 -0.49985198 0.25564696 0.02682012 0.04885453 0.02682012 0.17397969 0.28361854 -0.89081368 -0.04885453 -0.89081368 0.02643148 0.03004810 -0.04885453 0.03004810 -0.17397969 -0.02018433 -0.04296177 -0.73298331 -0.04296177 0.02453591 -0.15443348 -0.73298331 -0.15443348 -0.00099692 -DEAL::-0.28361854 0.04885453 0.49985198 0.04885453 0.17397969 -0.02682012 0.49985198 -0.02682012 0.25564696 -0.02018433 -0.73298331 0.04693117 -0.73298331 -0.00099692 0.16759993 0.04693117 0.16759993 0.02675938 -0.28361854 0.04885453 -0.91562243 0.04885453 0.17397969 0.03461186 -0.91562243 0.03461186 -0.06812144 -DEAL::-0.40415342 -0.02751667 -0.89271996 -0.02751667 0.25709041 -0.01823272 -0.89271996 -0.01823272 0.40848276 0.01298562 -0.77077242 0.03142155 -0.77077242 -0.00108887 -0.25526554 0.03142155 -0.25526554 -0.01531514 0.40415342 0.02751667 -0.68284691 0.02751667 -0.25709041 -0.01610367 -0.68284691 -0.01610367 -0.00125264 -DEAL::-0.06812144 -0.91562243 0.03461186 -0.91562243 -0.28361854 0.04885453 0.03461186 0.04885453 0.17397969 0.25564696 0.49985198 -0.02682012 0.49985198 -0.28361854 0.04885453 -0.02682012 0.04885453 0.17397969 0.02675938 0.04693117 0.16759993 0.04693117 -0.02018433 -0.73298331 0.16759993 -0.73298331 -0.00099692 -DEAL::-0.00125264 -0.68284691 -0.01610367 -0.68284691 0.40415342 0.02751667 -0.01610367 0.02751667 -0.25709041 0.40848276 -0.89271996 -0.01823272 -0.89271996 -0.40415342 -0.02751667 -0.01823272 -0.02751667 0.25709041 -0.01531514 0.03142155 -0.25526554 0.03142155 0.01298562 -0.77077242 -0.25526554 -0.77077242 -0.00108887 -DEAL::-0.21360499 -2.92366182 0.30841953 -2.92366182 0.18660499 -0.03628009 0.30841953 -0.03628009 -0.11604872 2.17027806 -0.22013128 0.02244116 -0.22013128 -3.09504876 0.59482489 0.02244116 0.59482489 2.19599189 0.21112596 -0.02143230 -0.07826379 -0.02143230 -0.31127040 -2.15979794 -0.07826379 -2.15979794 0.28729173 -DEAL::0 -1.07652151 0 -1.07652151 -0.07524420 -0.00573181 0 -0.00573181 0 0 -0.02888820 0 -0.02888820 0.87897774 0.07798633 0 0.07798633 0 0 -0.00325549 0 -0.00325549 0.11251211 -0.94908266 0 -0.94908266 0 -DEAL::-0.00108887 -0.77077242 0.25149939 -0.77077242 0.01298562 -0.03948038 0.25149939 -0.03948038 -0.01508752 0.25709041 -0.02751667 0.01823272 -0.02751667 -0.40415342 0.89271996 0.01823272 0.89271996 0.40848276 0.25709041 -0.02751667 -0.01564680 -0.02751667 -0.40415342 -0.81716081 -0.01564680 -0.81716081 0.01263333 -DEAL::-0.00099692 -0.73298331 -0.15443348 -0.73298331 -0.02018433 -0.04296177 -0.15443348 -0.04296177 0.02453591 0.17397969 0.04885453 0.02682012 0.04885453 -0.28361854 -0.49985198 0.02682012 -0.49985198 0.25564696 -0.17397969 -0.04885453 0.03004810 -0.04885453 0.28361854 -0.89081368 0.03004810 -0.89081368 0.02643148 -DEAL::-0.31127040 -2.15979794 -0.02143230 -2.15979794 0.28729173 -0.07826379 -0.02143230 -0.07826379 0.21112596 3.09504876 -0.59482489 0.22013128 -0.59482489 -2.19599189 -0.02244116 0.22013128 -0.02244116 -2.17027806 0.18660499 -0.03628009 -2.92366182 -0.03628009 -0.11604872 0.30841953 -2.92366182 0.30841953 -0.21360499 -DEAL::-0.04225420 -0.95307715 -0.00328170 -0.95307715 0 0 -0.00328170 0 0 -0.87897774 0.02888820 -0.07798633 0.02888820 0 0 -0.07798633 0 0 0.20048545 -0.00565150 -1.06689191 -0.00565150 0 0 -1.06689191 0 0 -DEAL::-0.28361854 -0.89081368 0.04885453 -0.89081368 -0.02643148 0.03004810 0.04885453 0.03004810 0.17397969 0.28361854 -0.49985198 -0.04885453 -0.49985198 -0.25564696 0.02682012 -0.04885453 0.02682012 -0.17397969 -0.02018433 0.04296177 -0.73298331 0.04296177 0.02453591 0.15443348 -0.73298331 0.15443348 -0.00099692 -DEAL::0.40415342 -0.81716081 0.02751667 -0.81716081 -0.01263333 -0.01564680 0.02751667 -0.01564680 -0.25709041 0.40415342 0.89271996 0.02751667 0.89271996 -0.40848276 0.01823272 0.02751667 0.01823272 -0.25709041 0.01298562 0.03948038 -0.77077242 0.03948038 -0.01508752 -0.25149939 -0.77077242 -0.25149939 -0.00108887 -DEAL::0.01298562 -0.77077242 -0.03142155 -0.77077242 -0.00108887 0.25526554 -0.03142155 0.25526554 -0.01531514 0.40415342 0.02751667 -0.89271996 0.02751667 -0.25709041 -0.01823272 -0.89271996 -0.01823272 -0.40848276 -0.40415342 -0.02751667 -0.68284691 -0.02751667 0.25709041 -0.01610367 -0.68284691 -0.01610367 0.00125264 -DEAL::-0.02018433 -0.73298331 -0.04693117 -0.73298331 -0.00099692 -0.16759993 -0.04693117 -0.16759993 0.02675938 0.28361854 -0.04885453 0.49985198 -0.04885453 -0.17397969 -0.02682012 0.49985198 -0.02682012 -0.25564696 0.28361854 -0.04885453 -0.91562243 -0.04885453 -0.17397969 0.03461186 -0.91562243 0.03461186 0.06812144 +DEAL::3D Jacobian pushed forward gradients: +DEAL::-0.51733743 0.01885754 -1.62814108 0.01885754 0.38438197 0.08250617 -1.62814108 0.08250617 2.59622043 0.03694863 -0.04258272 0.10738419 -0.04258272 -0.08990221 -2.12022830 0.10738419 -2.12022830 0.28428911 0.29708874 -0.00633939 0.75586628 -0.00633939 0.38438197 0.10770310 0.75586628 0.10770310 -2.98622046 +DEAL::0.51733743 0.01885754 -1.62814108 0.01885754 -0.38438197 -0.08250617 -1.62814108 -0.08250617 -2.59622043 0.03694863 0.04258272 -0.10738419 0.04258272 -0.08990221 -2.12022830 -0.10738419 -2.12022830 0.28428911 0.29708874 0.00633939 -0.75586628 0.00633939 0.38438197 0.10770310 -0.75586628 0.10770310 -2.98622046 +DEAL::0.03563827 -0.06701248 -1.81251930 -0.06701248 -0.01527905 -0.03331481 -1.81251930 -0.03331481 -0.06532125 0.45726195 -0.00779603 -0.03382913 -0.00779603 -0.60134523 -1.29837959 -0.03382913 -1.29837959 1.71961203 0.45726195 -0.00263382 -0.03899133 -0.00263382 0.37903875 0.72513527 -0.03899133 0.72513527 -3.30780165 +DEAL::0.03563827 0.06701248 -1.81251930 0.06701248 -0.01527905 0.03331481 -1.81251930 0.03331481 -0.06532125 -0.45726195 -0.00779603 0.03382913 -0.00779603 0.60134523 -1.29837959 0.03382913 -1.29837959 -1.71961203 0.45726195 0.00263382 -0.03899133 0.00263382 0.37903875 -0.72513527 -0.03899133 -0.72513527 -3.30780165 +DEAL::-0.07928152 0.00761063 -0.82033728 0.00761063 0.07981522 0.00324169 -0.82033728 0.00324169 0.02093230 -0.05280626 -0.00939362 0.00436355 -0.00939362 0.00877464 -1.08468653 0.00436355 -1.08468653 -0.01089058 1.00285013 0.00166316 -0.09099853 0.00166316 0.95166570 0.02411703 -0.09099853 0.02411703 -1.49997782 +DEAL::0 0 -4.18964014 0 0 -0.00734062 -4.18964014 -0.00734062 1.19795384 0 0 -0.00769246 0 0 -4.28208537 -0.00769246 -4.28208537 -0.54711235 0 0 0.15510763 0 0 -0.08920886 0.15510763 -0.08920886 0.47553648 +DEAL::3.30780165 0.72513527 -0.03899133 0.72513527 -0.37903875 0.00263382 -0.03899133 0.00263382 -0.45726195 1.71961203 1.29837959 0.03382913 1.29837959 -0.60134523 -0.00779603 0.03382913 -0.00779603 0.45726195 -0.06532125 0.03331481 1.81251930 0.03331481 -0.01527905 -0.06701248 1.81251930 -0.06701248 0.03563827 +DEAL::3.30780165 -0.72513527 -0.03899133 -0.72513527 -0.37903875 -0.00263382 -0.03899133 -0.00263382 -0.45726195 -1.71961203 1.29837959 -0.03382913 1.29837959 0.60134523 -0.00779603 -0.03382913 -0.00779603 -0.45726195 -0.06532125 -0.03331481 1.81251930 -0.03331481 -0.01527905 0.06701248 1.81251930 0.06701248 0.03563827 +DEAL::1.49997782 0.02411703 -0.09099853 0.02411703 -0.95166570 -0.00166316 -0.09099853 -0.00166316 -1.00285013 -0.01089058 1.08468653 -0.00436355 1.08468653 0.00877464 -0.00939362 -0.00436355 -0.00939362 -0.05280626 0.02093230 -0.00324169 0.82033728 -0.00324169 0.07981522 0.00761063 0.82033728 0.00761063 -0.07928152 +DEAL::-0.38973783 0.23826735 -0.05678419 0.23826735 0 0 -0.05678419 0 0 1.48100981 4.30688062 0.00764346 4.30688062 0 0 0.00764346 0 0 -0.43974706 0.00727754 4.16416225 0.00727754 0 0 4.16416225 0 0 +DEAL::2.98622046 0.10770310 0.75586628 0.10770310 -0.38438197 0.00633939 0.75586628 0.00633939 -0.29708874 0.28428911 2.12022830 -0.10738419 2.12022830 -0.08990221 -0.04258272 -0.10738419 -0.04258272 0.03694863 2.59622043 -0.08250617 1.62814108 -0.08250617 0.38438197 0.01885754 1.62814108 0.01885754 -0.51733743 +DEAL::2.98622046 0.10770310 -0.75586628 0.10770310 -0.38438197 -0.00633939 -0.75586628 -0.00633939 -0.29708874 0.28428911 2.12022830 0.10738419 2.12022830 -0.08990221 0.04258272 0.10738419 0.04258272 0.03694863 -2.59622043 0.08250617 1.62814108 0.08250617 -0.38438197 0.01885754 1.62814108 0.01885754 0.51733743 +DEAL::-0.60134523 -0.00779603 1.29837959 -0.00779603 0.45726195 0.03382913 1.29837959 0.03382913 1.71961203 -0.01527905 -0.06701248 0.03331481 -0.06701248 0.03563827 1.81251930 0.03331481 1.81251930 -0.06532125 -0.37903875 0.00263382 0.72513527 0.00263382 -0.45726195 -0.03899133 0.72513527 -0.03899133 3.30780165 +DEAL::0.50218475 0.01590373 1.57548897 0.01590373 -0.38438197 0.08545998 1.57548897 0.08545998 -2.47576353 0.02808436 0.05868794 0.09661515 0.05868794 -0.08990221 2.10412308 0.09661515 2.10412308 0.31469145 -0.23884529 -0.00343312 -0.75171669 -0.00343312 -0.38438197 0.10479683 -0.75171669 0.10479683 2.91967784 +DEAL::0.00877464 -0.00939362 1.08468653 -0.00939362 -0.05280626 -0.00436355 1.08468653 -0.00436355 -0.01089058 0.07981522 0.00761063 -0.00324169 0.00761063 -0.07928152 0.82033728 -0.00324169 0.82033728 0.02093230 -0.95166570 -0.00166316 0.02411703 -0.00166316 -1.00285013 -0.09099853 0.02411703 -0.09099853 1.49997782 +DEAL::0 0 4.30688062 0 0 0.00764346 4.30688062 0.00764346 1.48100981 0 0 0.00727754 0 0 4.16416225 0.00727754 4.16416225 -0.43974706 0 0 0.23826735 0 0 -0.05678419 0.23826735 -0.05678419 -0.38973783 +DEAL::-0.08990221 -0.04258272 2.12022830 -0.04258272 0.03694863 -0.10738419 2.12022830 -0.10738419 0.28428911 0.38438197 0.01885754 -0.08250617 0.01885754 -0.51733743 1.62814108 -0.08250617 1.62814108 2.59622043 -0.38438197 0.00633939 0.10770310 0.00633939 -0.29708874 0.75586628 0.10770310 0.75586628 2.98622046 +DEAL::-0.08990221 0.04258272 2.12022830 0.04258272 0.03694863 0.10738419 2.12022830 0.10738419 0.28428911 -0.38438197 0.01885754 0.08250617 0.01885754 0.51733743 1.62814108 0.08250617 1.62814108 -2.59622043 -0.38438197 -0.00633939 0.10770310 -0.00633939 -0.29708874 -0.75586628 0.10770310 -0.75586628 2.98622046 +DEAL::-1.49997782 -0.09099853 0.02411703 -0.09099853 1.00285013 0.00166316 0.02411703 0.00166316 0.95166570 0.02093230 -0.82033728 0.00324169 -0.82033728 -0.07928152 0.00761063 0.00324169 0.00761063 0.07981522 -0.01089058 0.00436355 -1.08468653 0.00436355 -0.05280626 -0.00939362 -1.08468653 -0.00939362 0.00877464 +DEAL::0.47553648 0.15510763 -0.08920886 0.15510763 0 0 -0.08920886 0 0 1.19795384 -4.18964014 -0.00734062 -4.18964014 0 0 -0.00734062 0 0 -0.54711235 -0.00769246 -4.28208537 -0.00769246 0 0 -4.28208537 0 0 +DEAL::-2.98622046 0.75586628 0.10770310 0.75586628 0.29708874 -0.00633939 0.10770310 -0.00633939 0.38438197 2.59622043 -1.62814108 0.08250617 -1.62814108 -0.51733743 0.01885754 0.08250617 0.01885754 0.38438197 0.28428911 0.10738419 -2.12022830 0.10738419 0.03694863 -0.04258272 -2.12022830 -0.04258272 -0.08990221 +DEAL::-2.98622046 -0.75586628 0.10770310 -0.75586628 0.29708874 0.00633939 0.10770310 0.00633939 0.38438197 -2.59622043 -1.62814108 -0.08250617 -1.62814108 0.51733743 0.01885754 -0.08250617 0.01885754 -0.38438197 0.28428911 -0.10738419 -2.12022830 -0.10738419 0.03694863 0.04258272 -2.12022830 0.04258272 -0.08990221 +DEAL::-2.91967784 0.10479683 0.75171669 0.10479683 0.38438197 -0.00343312 0.75171669 -0.00343312 0.23884529 0.31469145 -2.10412308 0.09661515 -2.10412308 -0.08990221 -0.05868794 0.09661515 -0.05868794 0.02808436 2.47576353 0.08545998 -1.57548897 0.08545998 0.38438197 0.01590373 -1.57548897 0.01590373 -0.50218475 +DEAL::-3.30780165 -0.03899133 -0.72513527 -0.03899133 0.45726195 0.00263382 -0.72513527 0.00263382 0.37903875 -0.06532125 -1.81251930 0.03331481 -1.81251930 0.03563827 0.06701248 0.03331481 0.06701248 -0.01527905 -1.71961203 0.03382913 -1.29837959 0.03382913 -0.45726195 -0.00779603 -1.29837959 -0.00779603 0.60134523 +DEAL::-0.50218475 -1.57548897 0.01590373 -1.57548897 2.47576353 0.08545998 0.01590373 0.08545998 0.38438197 0.23884529 0.75171669 -0.00343312 0.75171669 -2.91967784 0.10479683 -0.00343312 0.10479683 0.38438197 0.02808436 0.09661515 -0.05868794 0.09661515 0.31469145 -2.10412308 -0.05868794 -2.10412308 -0.08990221 +DEAL::0.60134523 -1.29837959 -0.00779603 -1.29837959 -1.71961203 0.03382913 -0.00779603 0.03382913 -0.45726195 0.37903875 -0.72513527 0.00263382 -0.72513527 -3.30780165 -0.03899133 0.00263382 -0.03899133 0.45726195 -0.01527905 0.03331481 0.06701248 0.03331481 -0.06532125 -1.81251930 0.06701248 -1.81251930 0.03563827 +DEAL::0.00877464 -1.08468653 -0.00939362 -1.08468653 -0.01089058 0.00436355 -0.00939362 0.00436355 -0.05280626 0.95166570 0.02411703 0.00166316 0.02411703 -1.49997782 -0.09099853 0.00166316 -0.09099853 1.00285013 0.07981522 0.00324169 0.00761063 0.00324169 0.02093230 -0.82033728 0.00761063 -0.82033728 -0.07928152 +DEAL::0 -4.28208537 0 -4.28208537 -0.54711235 -0.00769246 0 -0.00769246 0 0 -0.08920886 0 -0.08920886 0.47553648 0.15510763 0 0.15510763 0 0 -0.00734062 0 -0.00734062 1.19795384 -4.18964014 0 -4.18964014 0 +DEAL::0.03563827 -1.84096674 -0.03856504 -1.84096674 -0.05598307 -0.03584954 -0.03856504 -0.03584954 -0.01954778 0.45726195 -0.04096438 -0.00066077 -0.04096438 -3.24034993 0.66693151 -0.00066077 0.66693151 0.42799455 0.45726195 -0.03203801 -0.00958714 -0.03203801 1.87632369 -1.36622841 -0.00958714 -1.36622841 -0.62235925 +DEAL::-0.08990221 -2.12022830 0.04258272 -2.12022830 0.28428911 -0.10738419 0.04258272 -0.10738419 0.03694863 0.38438197 0.10770310 0.00633939 0.10770310 -2.98622046 -0.75586628 0.00633939 -0.75586628 0.29708874 -0.38438197 -0.08250617 0.01885754 -0.08250617 -2.59622043 -1.62814108 0.01885754 -1.62814108 0.51733743 +DEAL::-0.07928152 0.82033728 0.00761063 0.82033728 0.02093230 -0.00324169 0.00761063 -0.00324169 0.07981522 -1.00285013 -0.09099853 -0.00166316 -0.09099853 1.49997782 0.02411703 -0.00166316 0.02411703 -0.95166570 -0.05280626 -0.00436355 -0.00939362 -0.00436355 -0.01089058 1.08468653 -0.00939362 1.08468653 0.00877464 +DEAL::0 4.16416225 0 4.16416225 -0.43974706 0.00727754 0 0.00727754 0 0 -0.05678419 0 -0.05678419 -0.38973783 0.23826735 0 0.23826735 0 0 0.00764346 0 0.00764346 1.48100981 4.30688062 0 4.30688062 0 +DEAL::-0.51733743 1.62814108 0.01885754 1.62814108 2.59622043 -0.08250617 0.01885754 -0.08250617 0.38438197 -0.29708874 0.75586628 0.00633939 0.75586628 2.98622046 0.10770310 0.00633939 0.10770310 -0.38438197 0.03694863 -0.10738419 -0.04258272 -0.10738419 0.28428911 2.12022830 -0.04258272 2.12022830 -0.08990221 +DEAL::0.62235925 1.36622841 -0.00958714 1.36622841 -1.87632369 -0.03203801 -0.00958714 -0.03203801 -0.45726195 -0.42799455 -0.66693151 -0.00066077 -0.66693151 3.24034993 -0.04096438 -0.00066077 -0.04096438 -0.45726195 -0.01954778 -0.03584954 0.03856504 -0.03584954 -0.05598307 1.84096674 0.03856504 1.84096674 0.03563827 +DEAL::0.03563827 1.81251930 -0.06701248 1.81251930 -0.06532125 0.03331481 -0.06701248 0.03331481 -0.01527905 -0.45726195 -0.03899133 0.00263382 -0.03899133 3.30780165 0.72513527 0.00263382 0.72513527 -0.37903875 0.45726195 0.03382913 -0.00779603 0.03382913 1.71961203 1.29837959 -0.00779603 1.29837959 -0.60134523 +DEAL::-0.08990221 2.10412308 0.05868794 2.10412308 0.31469145 0.09661515 0.05868794 0.09661515 0.02808436 -0.38438197 0.10479683 -0.00343312 0.10479683 2.91967784 -0.75171669 -0.00343312 -0.75171669 -0.23884529 -0.38438197 0.08545998 0.01590373 0.08545998 -2.47576353 1.57548897 0.01590373 1.57548897 0.50218475 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0.54605963 0.24864496 0.18681987 0.24864496 0 0 0.18681987 0 0 0.26637736 -0.81608670 0.08192707 -0.81608670 0 0 0.08192707 0 0 0.35602618 0.14023479 -0.86572412 0.14023479 0 0 -0.86572412 0 0 +DEAL::-0.30867570 0.59200018 0.58999530 0.59200018 0 0 0.58999530 0 0 5.27446374 -4.49949361 0.24199144 -4.49949361 0 0 0.24199144 0 0 4.50243530 0.27289808 -4.46237103 0.27289808 0 0 -4.46237103 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 -0.86572412 0 -0.86572412 0.35602618 0.14023479 0 0.14023479 0 0 0.18681987 0 0.18681987 0.54605963 0.24864496 0 0.24864496 0 0 0.08192707 0 0.08192707 0.26637736 -0.81608670 0 -0.81608670 0 +DEAL::0 -4.46237103 0 -4.46237103 4.50243530 0.27289808 0 0.27289808 0 0 0.58999530 0 0.58999530 -0.30867570 0.59200018 0 0.59200018 0 0 0.24199144 0 0.24199144 5.27446374 -4.49949361 0 -4.49949361 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 0 -0.81608670 0 0 0.08192707 -0.81608670 0.08192707 0.26637736 0 0 0.14023479 0 0 -0.86572412 0.14023479 -0.86572412 0.35602618 0 0 0.24864496 0 0 0.18681987 0.24864496 0.18681987 0.54605963 +DEAL::0 0 -4.49949361 0 0 0.24199144 -4.49949361 0.24199144 5.27446374 0 0 0.27289808 0 0 -4.46237103 0.27289808 -4.46237103 4.50243530 0 0 0.59200018 0 0 0.58999530 0.59200018 0.58999530 -0.30867570 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 -0.24864496 0 -0.24864496 -0.54605963 -0.18681987 0 -0.18681987 0 0 -0.81516872 0 -0.81516872 0.43619691 0.12826238 0 0.12826238 0 0 0.08583479 0 0.08583479 0.21841379 -0.83705776 0 -0.83705776 0 +DEAL::0.53891213 0.73883686 0.42920771 0.73883686 0 0 0.42920771 0 0 5.86944989 4.49766486 -0.25938185 4.49766486 0 0 -0.25938185 0 0 4.00549937 -0.23908735 4.45305122 -0.23908735 0 0 4.45305122 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 -0.83302117 0 -0.83302117 -0.37593015 -0.15112370 0 -0.15112370 0 0 -0.21066921 0 -0.21066921 0.51414291 0.23924169 0 0.23924169 0 0 -0.09238584 0 -0.09238584 0.25313802 -0.80957560 0 -0.80957560 0 +DEAL::0 -4.48565905 0 -4.48565905 -5.16221150 -0.30836469 0 -0.30836469 0 0 -0.65725972 0 -0.65725972 -0.45697700 0.57474212 0 0.57474212 0 0 -0.27532465 0 -0.27532465 5.23834494 -4.50669858 0 -4.50669858 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 0 -0.86594085 0 0 -0.06324646 -0.86594085 -0.06324646 -0.22375384 0 0 -0.10154933 0 0 -0.89343917 -0.10154933 -0.89343917 0.42019831 0 0 -0.18005325 0 0 0.20713957 -0.18005325 0.20713957 0.64046101 +DEAL::0 0 -4.40319905 0 0 -0.16763321 -4.40319905 -0.16763321 -3.53449038 0 0 -0.18221795 0 0 -4.46363986 -0.18221795 -4.46363986 4.67063068 0 0 -0.39541424 0 0 0.62630855 -0.39541424 0.62630855 -0.20560031 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0.64046101 -0.18005325 0.20713957 -0.18005325 0 0 0.20713957 0 0 -0.22375384 -0.86594085 -0.06324646 -0.86594085 0 0 -0.06324646 0 0 0.42019831 -0.10154933 -0.89343917 -0.10154933 0 0 -0.89343917 0 0 +DEAL::-0.20560031 -0.39541424 0.62630855 -0.39541424 0 0 0.62630855 0 0 -3.53449038 -4.40319905 -0.16763321 -4.40319905 0 0 -0.16763321 0 0 4.67063068 -0.18221795 -4.46363986 -0.18221795 0 0 -4.46363986 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0.21841379 -0.83705776 0.08583479 -0.83705776 0 0 0.08583479 0 0 -0.54605963 -0.18681987 -0.24864496 -0.18681987 0 0 -0.24864496 0 0 0.43619691 0.12826238 -0.81516872 0.12826238 0 0 -0.81516872 0 0 +DEAL::0 4.45305122 0 4.45305122 4.00549937 -0.23908735 0 -0.23908735 0 0 0.42920771 0 0.42920771 0.53891213 0.73883686 0 0.73883686 0 0 -0.25938185 0 -0.25938185 5.86944989 4.49766486 0 4.49766486 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 0 -0.80957560 0 0 -0.09238584 -0.80957560 -0.09238584 0.25313802 0 0 -0.15112370 0 0 -0.83302117 -0.15112370 -0.83302117 -0.37593015 0 0 0.23924169 0 0 -0.21066921 0.23924169 -0.21066921 0.51414291 +DEAL::0 0 -4.50669858 0 0 -0.27532465 -4.50669858 -0.27532465 5.23834494 0 0 -0.30836469 0 0 -4.48565905 -0.30836469 -4.48565905 -5.16221150 0 0 0.57474212 0 0 -0.65725972 0.57474212 -0.65725972 -0.45697700 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 0.18005325 0 0.18005325 -0.64046101 -0.20713957 0 -0.20713957 0 0 -0.91291723 0 -0.91291723 -0.37637647 -0.10488959 0 -0.10488959 0 0 -0.06215622 0 -0.06215622 0.24940632 -0.85786109 0 -0.85786109 0 +DEAL::0.09178858 -0.55703210 0.46276008 -0.55703210 0 0 0.46276008 0 0 -4.07647222 4.43875757 0.18544812 4.43875757 0 0 0.18544812 0 0 4.07311113 0.16899384 4.43115245 0.16899384 0 0 4.43115245 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::-0.23270093 -0.81965260 -0.09450329 -0.81965260 0 0 -0.09450329 0 0 -0.51414291 0.21066921 -0.23924169 0.21066921 0 0 -0.23924169 0 0 0.40987944 -0.14463630 -0.80872832 -0.14463630 0 0 -0.80872832 0 0 +DEAL::0 4.48886603 0 4.48886603 -4.64826173 0.27414325 0 0.27414325 0 0 -0.49828729 0 -0.49828729 0.55770529 0.72469047 0 0.72469047 0 0 0.30065446 0 0.30065446 5.79350748 4.49748096 0 4.49748096 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 0 -0.85764253 0 0 0.07132048 -0.85764253 0.07132048 -0.21306033 0 0 0.10943440 0 0 -0.85526057 0.10943440 -0.85526057 -0.44401686 0 0 -0.17324398 0 0 -0.23358292 -0.17324398 -0.23358292 0.60371825 +DEAL::0 0 -4.41221997 0 0 0.19078963 -4.41221997 0.19078963 -3.51451015 0 0 0.20676048 0 0 -4.48687665 0.20676048 -4.48687665 -5.35217645 0 0 -0.38450651 0 0 -0.69498937 -0.38450651 -0.69498937 -0.38011727 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0.51414291 0.23924169 -0.21066921 0.23924169 0 0 -0.21066921 0 0 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DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 -0.81516872 0 -0.81516872 0.43619691 0.12826238 0 0.12826238 0 0 0.08583479 0 0.08583479 0.21841379 -0.83705776 0 -0.83705776 0 0 -0.24864496 0 -0.24864496 -0.54605963 -0.18681987 0 -0.18681987 0 +DEAL::0 0 4.49766486 0 0 -0.25938185 4.49766486 -0.25938185 5.86944989 0 0 -0.23908735 0 0 4.45305122 -0.23908735 4.45305122 4.00549937 0 0 0.73883686 0 0 0.42920771 0.73883686 0.42920771 0.53891213 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 -0.23924169 0 -0.23924169 -0.51414291 0.21066921 0 0.21066921 0 0 -0.80872832 0 -0.80872832 0.40987944 -0.14463630 0 -0.14463630 0 0 -0.09450329 0 -0.09450329 -0.23270093 -0.81965260 0 -0.81965260 0 +DEAL::0.55770529 0.72469047 -0.49828729 0.72469047 0 0 -0.49828729 0 0 5.79350748 4.49748096 0.30065446 4.49748096 0 0 0.30065446 0 0 -4.64826173 0.27414325 4.48886603 0.27414325 0 0 4.48886603 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 -0.85526057 0 -0.85526057 -0.44401686 0.10943440 0 0.10943440 0 0 -0.23358292 0 -0.23358292 0.60371825 -0.17324398 0 -0.17324398 0 0 0.07132048 0 0.07132048 -0.21306033 -0.85764253 0 -0.85764253 0 +DEAL::0 -4.48687665 0 -4.48687665 -5.35217645 0.20676048 0 0.20676048 0 0 -0.69498937 0 -0.69498937 -0.38011727 -0.38450651 0 -0.38450651 0 0 0.19078963 0 0.19078963 -3.51451015 -4.41221997 0 -4.41221997 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 -0.91291723 0 -0.91291723 -0.37637647 -0.10488959 0 -0.10488959 0 0 -0.06215622 0 -0.06215622 0.24940632 -0.85786109 0 -0.85786109 0 0 0.18005325 0 0.18005325 -0.64046101 -0.20713957 0 -0.20713957 0 +DEAL::0 0 4.43875757 0 0 0.18544812 4.43875757 0.18544812 -4.07647222 0 0 0.16899384 0 0 4.43115245 0.16899384 4.43115245 4.07311113 0 0 -0.55703210 0 0 0.46276008 -0.55703210 0.46276008 0.09178858 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0.60371825 -0.17324398 -0.23358292 -0.17324398 0 0 -0.23358292 0 0 -0.21306033 -0.85764253 0.07132048 -0.85764253 0 0 0.07132048 0 0 -0.44401686 0.10943440 -0.85526057 0.10943440 0 0 -0.85526057 0 0 +DEAL::-0.38011727 -0.38450651 -0.69498937 -0.38450651 0 0 -0.69498937 0 0 -3.51451015 -4.41221997 0.19078963 -4.41221997 0 0 0.19078963 0 0 -5.35217645 0.20676048 -4.48687665 0.20676048 0 0 -4.48687665 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0.24940632 -0.85786109 -0.06215622 -0.85786109 0 0 -0.06215622 0 0 -0.64046101 -0.20713957 0.18005325 -0.20713957 0 0 0.18005325 0 0 -0.37637647 -0.10488959 -0.91291723 -0.10488959 0 0 -0.91291723 0 0 +DEAL::0 4.43115245 0 4.43115245 4.07311113 0.16899384 0 0.16899384 0 0 0.46276008 0 0.46276008 0.09178858 -0.55703210 0 -0.55703210 0 0 0.18544812 0 0.18544812 -4.07647222 4.43875757 0 4.43875757 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 -0.80872832 0 -0.80872832 0.40987944 -0.14463630 0 -0.14463630 0 0 -0.09450329 0 -0.09450329 -0.23270093 -0.81965260 0 -0.81965260 0 0 -0.23924169 0 -0.23924169 -0.51414291 0.21066921 0 0.21066921 0 +DEAL::0 0 4.49748096 0 0 0.30065446 4.49748096 0.30065446 5.79350748 0 0 0.27414325 0 0 4.48886603 0.27414325 4.48886603 -4.64826173 0 0 0.72469047 0 0 -0.49828729 0.72469047 -0.49828729 0.55770529 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 0.17324398 0 0.17324398 -0.60371825 0.23358292 0 0.23358292 0 0 -0.90100117 0 -0.90100117 -0.35392919 0.11827975 0 0.11827975 0 0 0.06843342 0 0.06843342 -0.26625377 -0.83866871 0 -0.83866871 0 +DEAL::0.13610320 -0.54423337 -0.53811989 -0.54423337 0 0 -0.53811989 0 0 -4.02161431 4.43845449 -0.21585340 4.43845449 0 0 -0.21585340 0 0 -4.73251598 -0.19384249 4.46886100 -0.19384249 0 0 4.46886100 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::-0.26625377 -0.83866871 0.06843342 -0.83866871 0 0 0.06843342 0 0 -0.60371825 0.23358292 0.17324398 0.23358292 0 0 0.17324398 0 0 -0.35392919 0.11827975 -0.90100117 0.11827975 0 0 -0.90100117 0 0 +DEAL::0 4.46886100 0 4.46886100 -4.73251598 -0.19384249 0 -0.19384249 0 0 -0.53811989 0 -0.53811989 0.13610320 -0.54423337 0 -0.54423337 0 0 -0.21585340 0 -0.21585340 -4.02161431 4.43845449 0 4.43845449 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -DEAL::0 -0.90100117 0 -0.90100117 -0.35392919 0.11827975 0 0.11827975 0 0 0.06843342 0 0.06843342 -0.26625377 -0.83866871 0 -0.83866871 0 0 0.17324398 0 0.17324398 -0.60371825 0.23358292 0 0.23358292 0 +DEAL::0 0 4.43845449 0 0 -0.21585340 4.43845449 -0.21585340 -4.02161431 0 0 -0.19384249 0 0 4.46886100 -0.19384249 4.46886100 -4.73251598 0 0 -0.54423337 0 0 -0.53811989 -0.54423337 -0.53811989 0.13610320 +DEAL:: +DEAL::3D Jacobian hessians: +DEAL::0.16192171 0.01310501 -0.40711819 0.01310501 -0.41095312 -0.09650588 -0.40711819 -0.09650588 0.56461229 0.01310501 -0.41095312 -0.09650588 -0.41095312 0.15064836 -0.76423053 -0.09650588 -0.76423053 -0.19378620 -0.40711819 -0.09650588 0.56461229 -0.09650588 -0.76423053 -0.19378620 0.56461229 -0.19378620 0.80550554 0.16575090 -0.00558613 -0.02743453 -0.00558613 0.06390325 -0.70855762 -0.02743453 -0.70855762 -0.14492643 -0.00558613 0.06390325 -0.70855762 0.06390325 -0.09335461 -0.03851498 -0.70855762 -0.03851498 0.10434485 -0.02743453 -0.70855762 -0.14492643 -0.70855762 -0.03851498 0.10434485 -0.14492643 0.10434485 0.07070207 1.49631750 0.00269587 -0.16705696 0.00269587 0.47501907 0.18995887 -0.16705696 0.18995887 -1.42063946 0.00269587 0.47501907 0.18995887 0.47501907 0.15064836 -0.76423053 0.18995887 -0.76423053 -0.19378620 -0.16705696 0.18995887 -1.42063946 0.18995887 -0.76423053 -0.19378620 -1.42063946 -0.19378620 0.80550554 +DEAL::0.16192171 -0.01310501 0.40711819 -0.01310501 -0.41095312 -0.09650588 0.40711819 -0.09650588 0.56461229 -0.01310501 -0.41095312 -0.09650588 -0.41095312 -0.15064836 0.76423053 -0.09650588 0.76423053 0.19378620 0.40711819 -0.09650588 0.56461229 -0.09650588 0.76423053 0.19378620 0.56461229 0.19378620 -0.80550554 -0.16575090 -0.00558613 -0.02743453 -0.00558613 -0.06390325 0.70855762 -0.02743453 0.70855762 0.14492643 -0.00558613 -0.06390325 0.70855762 -0.06390325 -0.09335461 -0.03851498 0.70855762 -0.03851498 0.10434485 -0.02743453 0.70855762 0.14492643 0.70855762 -0.03851498 0.10434485 0.14492643 0.10434485 0.07070207 -1.49631750 0.00269587 -0.16705696 0.00269587 -0.47501907 -0.18995887 -0.16705696 -0.18995887 1.42063946 0.00269587 -0.47501907 -0.18995887 -0.47501907 0.15064836 -0.76423053 -0.18995887 -0.76423053 -0.19378620 -0.16705696 -0.18995887 1.42063946 -0.18995887 -0.76423053 -0.19378620 1.42063946 -0.19378620 0.80550554 +DEAL::-0.20229244 -0.01358227 0.04605947 -0.01358227 0.01728286 -0.82558027 0.04605947 -0.82558027 0.25813105 -0.01358227 0.01728286 -0.82558027 0.01728286 -0.08793792 -0.00281573 -0.82558027 -0.00281573 0.08473097 0.04605947 -0.82558027 0.25813105 -0.82558027 -0.00281573 0.08473097 0.25813105 0.08473097 -0.04813701 -0.08075054 -0.51635940 -1.10291020 -0.51635940 0.00289922 0.04225986 -1.10291020 0.04225986 0.10147325 -0.51635940 0.00289922 0.04225986 0.00289922 1.35354842 0.56445187 0.04225986 0.56445187 0.36967020 -1.10291020 0.04225986 0.10147325 0.04225986 0.56445187 0.36967020 0.10147325 0.36967020 1.08123937 -0.08075054 0.71608316 -1.10291020 0.71608316 0.01361039 -0.09888846 -1.10291020 -0.09888846 0.10147325 0.71608316 0.01361039 -0.09888846 0.01361039 2.53358540 0.16434515 -0.09888846 0.16434515 -2.57667836 -1.10291020 -0.09888846 0.10147325 -0.09888846 0.16434515 -2.57667836 0.10147325 -2.57667836 1.08123937 +DEAL::-0.20229244 0.01358227 0.04605947 0.01358227 0.01728286 0.82558027 0.04605947 0.82558027 0.25813105 0.01358227 0.01728286 0.82558027 0.01728286 0.08793792 -0.00281573 0.82558027 -0.00281573 -0.08473097 0.04605947 0.82558027 0.25813105 0.82558027 -0.00281573 -0.08473097 0.25813105 -0.08473097 -0.04813701 0.08075054 -0.51635940 1.10291020 -0.51635940 -0.00289922 0.04225986 1.10291020 0.04225986 -0.10147325 -0.51635940 -0.00289922 0.04225986 -0.00289922 1.35354842 -0.56445187 0.04225986 -0.56445187 0.36967020 1.10291020 0.04225986 -0.10147325 0.04225986 -0.56445187 0.36967020 -0.10147325 0.36967020 -1.08123937 -0.08075054 -0.71608316 -1.10291020 -0.71608316 0.01361039 0.09888846 -1.10291020 0.09888846 0.10147325 -0.71608316 0.01361039 0.09888846 0.01361039 -2.53358540 0.16434515 0.09888846 0.16434515 2.57667836 -1.10291020 0.09888846 0.10147325 0.09888846 0.16434515 2.57667836 0.10147325 2.57667836 1.08123937 +DEAL::-3.82617322 -0.05076739 -0.93093052 -0.05076739 -2.91395996 0.27113173 -0.93093052 0.27113173 6.29102696 -0.05076739 -2.91395996 0.27113173 -2.91395996 -0.03063588 -0.73834272 0.27113173 -0.73834272 0.05560646 -0.93093052 0.27113173 6.29102696 0.27113173 -0.73834272 0.05560646 6.29102696 0.05560646 1.64690268 -0.02424548 -4.21324588 0.50613568 -4.21324588 -0.16660097 -1.32183156 0.50613568 -1.32183156 0.14273550 -4.21324588 -0.16660097 -1.32183156 -0.16660097 -9.63400755 1.47450024 -1.32183156 1.47450024 12.36488746 0.50613568 -1.32183156 0.14273550 -1.32183156 1.47450024 12.36488746 0.14273550 12.36488746 -1.45530963 0.46307352 -0.46077437 -7.35380305 -0.46077437 1.23273149 -0.16555486 -7.35380305 -0.16555486 -1.07676408 -0.46077437 1.23273149 -0.16555486 1.23273149 -0.76177699 -10.82251742 -0.16555486 -10.82251742 1.23712561 -7.35380305 -0.16555486 -1.07676408 -0.16555486 -10.82251742 1.23712561 -1.07676408 1.23712561 15.59800894 +DEAL::0 0 0.12014866 0 0 0.01815159 0.12014866 0.01815159 -0.12170592 0 0 0.01815159 0 0 -0.04729932 0.01815159 -0.04729932 0.00651829 0.12014866 0.01815159 -0.12170592 0.01815159 -0.04729932 0.00651829 -0.12170592 0.00651829 0.15955788 0 0 0.01912282 0 0 -0.04963535 0.01912282 -0.04963535 0.00467000 0 0 -0.04963535 0 0 -0.02391803 -0.04963535 -0.02391803 -0.59410174 0.01912282 -0.04963535 0.00467000 -0.04963535 -0.02391803 -0.59410174 0.00467000 -0.59410174 -0.26004847 0 0 -0.38354144 0 0 -0.00496881 -0.38354144 -0.00496881 -0.25583209 0 0 -0.00496881 0 0 -0.57297513 -0.00496881 -0.57297513 -0.04925768 -0.38354144 -0.00496881 -0.25583209 -0.00496881 -0.57297513 -0.04925768 -0.25583209 -0.04925768 2.47170265 +DEAL::-2.53358540 -0.16434515 -0.01361039 -0.16434515 2.57667836 0.09888846 -0.01361039 0.09888846 -0.71608316 -0.16434515 2.57667836 0.09888846 2.57667836 -1.08123937 -0.10147325 0.09888846 -0.10147325 1.10291020 -0.01361039 0.09888846 -0.71608316 0.09888846 -0.10147325 1.10291020 -0.71608316 1.10291020 0.08075054 1.35354842 0.56445187 0.00289922 0.56445187 0.36967020 0.04225986 0.00289922 0.04225986 -0.51635940 0.56445187 0.36967020 0.04225986 0.36967020 1.08123937 0.10147325 0.04225986 0.10147325 -1.10291020 0.00289922 0.04225986 -0.51635940 0.04225986 0.10147325 -1.10291020 -0.51635940 -1.10291020 -0.08075054 -0.08793792 -0.00281573 0.01728286 -0.00281573 0.08473097 -0.82558027 0.01728286 -0.82558027 -0.01358227 -0.00281573 0.08473097 -0.82558027 0.08473097 -0.04813701 0.25813105 -0.82558027 0.25813105 0.04605947 0.01728286 -0.82558027 -0.01358227 -0.82558027 0.25813105 0.04605947 -0.01358227 0.04605947 -0.20229244 +DEAL::2.53358540 -0.16434515 -0.01361039 -0.16434515 -2.57667836 -0.09888846 -0.01361039 -0.09888846 0.71608316 -0.16434515 -2.57667836 -0.09888846 -2.57667836 -1.08123937 -0.10147325 -0.09888846 -0.10147325 1.10291020 -0.01361039 -0.09888846 0.71608316 -0.09888846 -0.10147325 1.10291020 0.71608316 1.10291020 0.08075054 1.35354842 -0.56445187 -0.00289922 -0.56445187 0.36967020 0.04225986 -0.00289922 0.04225986 -0.51635940 -0.56445187 0.36967020 0.04225986 0.36967020 -1.08123937 -0.10147325 0.04225986 -0.10147325 1.10291020 -0.00289922 0.04225986 -0.51635940 0.04225986 -0.10147325 1.10291020 -0.51635940 1.10291020 0.08075054 0.08793792 -0.00281573 0.01728286 -0.00281573 -0.08473097 0.82558027 0.01728286 0.82558027 0.01358227 -0.00281573 -0.08473097 0.82558027 -0.08473097 -0.04813701 0.25813105 0.82558027 0.25813105 0.04605947 0.01728286 0.82558027 0.01358227 0.82558027 0.25813105 0.04605947 0.01358227 0.04605947 -0.20229244 +DEAL::0.76177699 10.82251742 -1.23273149 10.82251742 -1.23712561 0.16555486 -1.23273149 0.16555486 0.46077437 10.82251742 -1.23712561 0.16555486 -1.23712561 -15.59800894 1.07676408 0.16555486 1.07676408 7.35380305 -1.23273149 0.16555486 0.46077437 0.16555486 1.07676408 7.35380305 0.46077437 7.35380305 -0.46307352 -9.63400755 1.47450024 -0.16660097 1.47450024 12.36488746 -1.32183156 -0.16660097 -1.32183156 -4.21324588 1.47450024 12.36488746 -1.32183156 12.36488746 -1.45530963 0.14273550 -1.32183156 0.14273550 0.50613568 -0.16660097 -1.32183156 -4.21324588 -1.32183156 0.14273550 0.50613568 -4.21324588 0.50613568 -0.02424548 -0.03063588 -0.73834272 -2.91395996 -0.73834272 0.05560646 0.27113173 -2.91395996 0.27113173 -0.05076739 -0.73834272 0.05560646 0.27113173 0.05560646 1.64690268 6.29102696 0.27113173 6.29102696 -0.93093052 -2.91395996 0.27113173 -0.05076739 0.27113173 6.29102696 -0.93093052 -0.05076739 -0.93093052 -3.82617322 +DEAL::0 0.56221229 0 0.56221229 -0.13146663 0.00479060 0 0.00479060 0 0.56221229 -0.13146663 0.00479060 -0.13146663 -2.31829745 -0.10261508 0.00479060 -0.10261508 0.36659301 0 0.00479060 0 0.00479060 -0.10261508 0.36659301 0 0.36659301 0 0 0.05600112 0 0.05600112 -0.63645804 0.01864533 0 0.01864533 0 0.05600112 -0.63645804 0.01864533 -0.63645804 0.70228122 0.00528063 0.01864533 0.00528063 -0.04937924 0 0.01864533 0 0.01864533 0.00528063 -0.04937924 0 -0.04937924 0 0 0.01758451 0 0.01758451 0.00650215 -0.04699156 0 -0.04699156 0 0.01758451 0.00650215 -0.04699156 0.00650215 -0.05105810 -0.02806280 -0.04699156 -0.02806280 -0.04821092 0 -0.04699156 0 -0.04699156 -0.02806280 -0.04821092 0 -0.04821092 0 +DEAL::-0.15064836 0.76423053 -0.47501907 0.76423053 0.19378620 -0.18995887 -0.47501907 -0.18995887 -0.00269587 0.76423053 0.19378620 -0.18995887 0.19378620 -0.80550554 1.42063946 -0.18995887 1.42063946 0.16705696 -0.47501907 -0.18995887 -0.00269587 -0.18995887 1.42063946 0.16705696 -0.00269587 0.16705696 -1.49631750 -0.09335461 -0.03851498 0.06390325 -0.03851498 0.10434485 -0.70855762 0.06390325 -0.70855762 -0.00558613 -0.03851498 0.10434485 -0.70855762 0.10434485 0.07070207 -0.14492643 -0.70855762 -0.14492643 -0.02743453 0.06390325 -0.70855762 -0.00558613 -0.70855762 -0.14492643 -0.02743453 -0.00558613 -0.02743453 0.16575090 0.15064836 -0.76423053 -0.41095312 -0.76423053 -0.19378620 -0.09650588 -0.41095312 -0.09650588 0.01310501 -0.76423053 -0.19378620 -0.09650588 -0.19378620 0.80550554 0.56461229 -0.09650588 0.56461229 -0.40711819 -0.41095312 -0.09650588 0.01310501 -0.09650588 0.56461229 -0.40711819 0.01310501 -0.40711819 0.16192171 +DEAL::-0.15064836 0.76423053 0.47501907 0.76423053 0.19378620 0.18995887 0.47501907 0.18995887 -0.00269587 0.76423053 0.19378620 0.18995887 0.19378620 -0.80550554 -1.42063946 0.18995887 -1.42063946 0.16705696 0.47501907 0.18995887 -0.00269587 0.18995887 -1.42063946 0.16705696 -0.00269587 0.16705696 1.49631750 -0.09335461 -0.03851498 -0.06390325 -0.03851498 0.10434485 0.70855762 -0.06390325 0.70855762 -0.00558613 -0.03851498 0.10434485 0.70855762 0.10434485 0.07070207 0.14492643 0.70855762 0.14492643 -0.02743453 -0.06390325 0.70855762 -0.00558613 0.70855762 0.14492643 -0.02743453 -0.00558613 -0.02743453 -0.16575090 -0.15064836 0.76423053 -0.41095312 0.76423053 0.19378620 -0.09650588 -0.41095312 -0.09650588 -0.01310501 0.76423053 0.19378620 -0.09650588 0.19378620 -0.80550554 0.56461229 -0.09650588 0.56461229 0.40711819 -0.41095312 -0.09650588 -0.01310501 -0.09650588 0.56461229 0.40711819 -0.01310501 0.40711819 0.16192171 +DEAL::1.35354842 0.56445187 0.00289922 0.56445187 0.36967020 0.04225986 0.00289922 0.04225986 -0.51635940 0.56445187 0.36967020 0.04225986 0.36967020 1.08123937 0.10147325 0.04225986 0.10147325 -1.10291020 0.00289922 0.04225986 -0.51635940 0.04225986 0.10147325 -1.10291020 -0.51635940 -1.10291020 -0.08075054 -0.08793792 -0.00281573 0.01728286 -0.00281573 0.08473097 -0.82558027 0.01728286 -0.82558027 -0.01358227 -0.00281573 0.08473097 -0.82558027 0.08473097 -0.04813701 0.25813105 -0.82558027 0.25813105 0.04605947 0.01728286 -0.82558027 -0.01358227 -0.82558027 0.25813105 0.04605947 -0.01358227 0.04605947 -0.20229244 -2.53358540 -0.16434515 -0.01361039 -0.16434515 2.57667836 0.09888846 -0.01361039 0.09888846 -0.71608316 -0.16434515 2.57667836 0.09888846 2.57667836 -1.08123937 -0.10147325 0.09888846 -0.10147325 1.10291020 -0.01361039 0.09888846 -0.71608316 0.09888846 -0.10147325 1.10291020 -0.71608316 1.10291020 0.08075054 +DEAL::0.56287800 0.34382802 -0.00078964 0.34382802 0.45225264 -0.07904611 -0.00078964 -0.07904611 -0.37402656 0.34382802 0.45225264 -0.07904611 0.45225264 -0.80550554 0.19378620 -0.07904611 0.19378620 0.76423053 -0.00078964 -0.07904611 -0.37402656 -0.07904611 0.19378620 0.76423053 -0.37402656 0.76423053 -0.15064836 -0.16020737 -0.00734755 0.01615790 -0.00734755 0.13062897 0.58742745 0.01615790 0.58742745 -0.01574848 -0.00734755 0.13062897 0.58742745 0.13062897 0.07070207 0.10434485 0.58742745 0.10434485 -0.03851498 0.01615790 0.58742745 -0.01574848 0.58742745 0.10434485 -0.03851498 -0.01574848 -0.03851498 -0.09335461 1.64646173 -0.14550265 0.02174797 -0.14550265 -1.61085217 0.14974534 0.02174797 0.14974534 0.42760078 -0.14550265 -1.61085217 0.14974534 -1.61085217 -0.80550554 0.19378620 0.14974534 0.19378620 0.76423053 0.02174797 0.14974534 0.42760078 0.14974534 0.19378620 0.76423053 0.42760078 0.76423053 -0.15064836 +DEAL::-9.63400755 1.47450024 -0.16660097 1.47450024 12.36488746 -1.32183156 -0.16660097 -1.32183156 -4.21324588 1.47450024 12.36488746 -1.32183156 12.36488746 -1.45530963 0.14273550 -1.32183156 0.14273550 0.50613568 -0.16660097 -1.32183156 -4.21324588 -1.32183156 0.14273550 0.50613568 -4.21324588 0.50613568 -0.02424548 -0.03063588 -0.73834272 -2.91395996 -0.73834272 0.05560646 0.27113173 -2.91395996 0.27113173 -0.05076739 -0.73834272 0.05560646 0.27113173 0.05560646 1.64690268 6.29102696 0.27113173 6.29102696 -0.93093052 -2.91395996 0.27113173 -0.05076739 0.27113173 6.29102696 -0.93093052 -0.05076739 -0.93093052 -3.82617322 0.76177699 10.82251742 -1.23273149 10.82251742 -1.23712561 0.16555486 -1.23273149 0.16555486 0.46077437 10.82251742 -1.23712561 0.16555486 -1.23712561 -15.59800894 1.07676408 0.16555486 1.07676408 7.35380305 -1.23273149 0.16555486 0.46077437 0.16555486 1.07676408 7.35380305 0.46077437 7.35380305 -0.46307352 +DEAL::0 0.05600112 0 0.05600112 -0.63645804 0.01864533 0 0.01864533 0 0.05600112 -0.63645804 0.01864533 -0.63645804 0.70228122 0.00528063 0.01864533 0.00528063 -0.04937924 0 0.01864533 0 0.01864533 0.00528063 -0.04937924 0 -0.04937924 0 0 0.01758451 0 0.01758451 0.00650215 -0.04699156 0 -0.04699156 0 0.01758451 0.00650215 -0.04699156 0.00650215 -0.05105810 -0.02806280 -0.04699156 -0.02806280 -0.04821092 0 -0.04699156 0 -0.04699156 -0.02806280 -0.04821092 0 -0.04821092 0 0 0.56221229 0 0.56221229 -0.13146663 0.00479060 0 0.00479060 0 0.56221229 -0.13146663 0.00479060 -0.13146663 -2.31829745 -0.10261508 0.00479060 -0.10261508 0.36659301 0 0.00479060 0 0.00479060 -0.10261508 0.36659301 0 0.36659301 0 +DEAL::-0.09335461 -0.03851498 0.06390325 -0.03851498 0.10434485 -0.70855762 0.06390325 -0.70855762 -0.00558613 -0.03851498 0.10434485 -0.70855762 0.10434485 0.07070207 -0.14492643 -0.70855762 -0.14492643 -0.02743453 0.06390325 -0.70855762 -0.00558613 -0.70855762 -0.14492643 -0.02743453 -0.00558613 -0.02743453 0.16575090 0.15064836 -0.76423053 -0.41095312 -0.76423053 -0.19378620 -0.09650588 -0.41095312 -0.09650588 0.01310501 -0.76423053 -0.19378620 -0.09650588 -0.19378620 0.80550554 0.56461229 -0.09650588 0.56461229 -0.40711819 -0.41095312 -0.09650588 0.01310501 -0.09650588 0.56461229 -0.40711819 0.01310501 -0.40711819 0.16192171 -0.15064836 0.76423053 -0.47501907 0.76423053 0.19378620 -0.18995887 -0.47501907 -0.18995887 -0.00269587 0.76423053 0.19378620 -0.18995887 0.19378620 -0.80550554 1.42063946 -0.18995887 1.42063946 0.16705696 -0.47501907 -0.18995887 -0.00269587 -0.18995887 1.42063946 0.16705696 -0.00269587 0.16705696 -1.49631750 +DEAL::-0.09335461 -0.03851498 -0.06390325 -0.03851498 0.10434485 0.70855762 -0.06390325 0.70855762 -0.00558613 -0.03851498 0.10434485 0.70855762 0.10434485 0.07070207 0.14492643 0.70855762 0.14492643 -0.02743453 -0.06390325 0.70855762 -0.00558613 0.70855762 0.14492643 -0.02743453 -0.00558613 -0.02743453 -0.16575090 -0.15064836 0.76423053 -0.41095312 0.76423053 0.19378620 -0.09650588 -0.41095312 -0.09650588 -0.01310501 0.76423053 0.19378620 -0.09650588 0.19378620 -0.80550554 0.56461229 -0.09650588 0.56461229 0.40711819 -0.41095312 -0.09650588 -0.01310501 -0.09650588 0.56461229 0.40711819 -0.01310501 0.40711819 0.16192171 -0.15064836 0.76423053 0.47501907 0.76423053 0.19378620 0.18995887 0.47501907 0.18995887 -0.00269587 0.76423053 0.19378620 0.18995887 0.19378620 -0.80550554 -1.42063946 0.18995887 -1.42063946 0.16705696 0.47501907 0.18995887 -0.00269587 0.18995887 -1.42063946 0.16705696 -0.00269587 0.16705696 1.49631750 +DEAL::15.59800894 -1.07676408 1.23712561 -1.07676408 -7.35380305 -0.16555486 1.23712561 -0.16555486 -10.82251742 -1.07676408 -7.35380305 -0.16555486 -7.35380305 0.46307352 -0.46077437 -0.16555486 -0.46077437 1.23273149 1.23712561 -0.16555486 -10.82251742 -0.16555486 -0.46077437 1.23273149 -10.82251742 1.23273149 -0.76177699 1.64690268 6.29102696 0.05560646 6.29102696 -0.93093052 0.27113173 0.05560646 0.27113173 -0.73834272 6.29102696 -0.93093052 0.27113173 -0.93093052 -3.82617322 -0.05076739 0.27113173 -0.05076739 -2.91395996 0.05560646 0.27113173 -0.73834272 0.27113173 -0.05076739 -2.91395996 -0.73834272 -2.91395996 -0.03063588 -1.45530963 0.14273550 12.36488746 0.14273550 0.50613568 -1.32183156 12.36488746 -1.32183156 1.47450024 0.14273550 0.50613568 -1.32183156 0.50613568 -0.02424548 -4.21324588 -1.32183156 -4.21324588 -0.16660097 12.36488746 -1.32183156 1.47450024 -1.32183156 -4.21324588 -0.16660097 1.47450024 -0.16660097 -9.63400755 +DEAL::2.47170265 -0.25583209 -0.04925768 -0.25583209 -0.38354144 -0.00496881 -0.04925768 -0.00496881 -0.57297513 -0.25583209 -0.38354144 -0.00496881 -0.38354144 0 0 -0.00496881 0 0 -0.04925768 -0.00496881 -0.57297513 -0.00496881 0 0 -0.57297513 0 0 0.15955788 -0.12170592 0.00651829 -0.12170592 0.12014866 0.01815159 0.00651829 0.01815159 -0.04729932 -0.12170592 0.12014866 0.01815159 0.12014866 0 0 0.01815159 0 0 0.00651829 0.01815159 -0.04729932 0.01815159 0 0 -0.04729932 0 0 -0.26004847 0.00467000 -0.59410174 0.00467000 0.01912282 -0.04963535 -0.59410174 -0.04963535 -0.02391803 0.00467000 0.01912282 -0.04963535 0.01912282 0 0 -0.04963535 0 0 -0.59410174 -0.04963535 -0.02391803 -0.04963535 0 0 -0.02391803 0 0 +DEAL::0.80550554 -1.42063946 -0.19378620 -1.42063946 -0.16705696 0.18995887 -0.19378620 0.18995887 -0.76423053 -1.42063946 -0.16705696 0.18995887 -0.16705696 1.49631750 0.00269587 0.18995887 0.00269587 0.47501907 -0.19378620 0.18995887 -0.76423053 0.18995887 0.00269587 0.47501907 -0.76423053 0.47501907 0.15064836 0.80550554 0.56461229 -0.19378620 0.56461229 -0.40711819 -0.09650588 -0.19378620 -0.09650588 -0.76423053 0.56461229 -0.40711819 -0.09650588 -0.40711819 0.16192171 0.01310501 -0.09650588 0.01310501 -0.41095312 -0.19378620 -0.09650588 -0.76423053 -0.09650588 0.01310501 -0.41095312 -0.76423053 -0.41095312 0.15064836 0.07070207 -0.14492643 0.10434485 -0.14492643 -0.02743453 -0.70855762 0.10434485 -0.70855762 -0.03851498 -0.14492643 -0.02743453 -0.70855762 -0.02743453 0.16575090 -0.00558613 -0.70855762 -0.00558613 0.06390325 0.10434485 -0.70855762 -0.03851498 -0.70855762 -0.00558613 0.06390325 -0.03851498 0.06390325 -0.09335461 +DEAL::0.80550554 1.42063946 -0.19378620 1.42063946 -0.16705696 -0.18995887 -0.19378620 -0.18995887 -0.76423053 1.42063946 -0.16705696 -0.18995887 -0.16705696 -1.49631750 0.00269587 -0.18995887 0.00269587 -0.47501907 -0.19378620 -0.18995887 -0.76423053 -0.18995887 0.00269587 -0.47501907 -0.76423053 -0.47501907 0.15064836 -0.80550554 0.56461229 0.19378620 0.56461229 0.40711819 -0.09650588 0.19378620 -0.09650588 0.76423053 0.56461229 0.40711819 -0.09650588 0.40711819 0.16192171 -0.01310501 -0.09650588 -0.01310501 -0.41095312 0.19378620 -0.09650588 0.76423053 -0.09650588 -0.01310501 -0.41095312 0.76423053 -0.41095312 -0.15064836 0.07070207 0.14492643 0.10434485 0.14492643 -0.02743453 0.70855762 0.10434485 0.70855762 -0.03851498 0.14492643 -0.02743453 0.70855762 -0.02743453 -0.16575090 -0.00558613 0.70855762 -0.00558613 -0.06390325 0.10434485 0.70855762 -0.03851498 0.70855762 -0.00558613 -0.06390325 -0.03851498 -0.06390325 -0.09335461 +DEAL::0.80550554 -0.19378620 -1.61085217 -0.19378620 -0.76423053 0.14974534 -1.61085217 0.14974534 0.14550265 -0.19378620 -0.76423053 0.14974534 -0.76423053 0.15064836 0.42760078 0.14974534 0.42760078 -0.02174797 -1.61085217 0.14974534 0.14550265 0.14974534 0.42760078 -0.02174797 0.14550265 -0.02174797 1.64646173 0.07070207 0.10434485 -0.13062897 0.10434485 -0.03851498 -0.58742745 -0.13062897 -0.58742745 -0.00734755 0.10434485 -0.03851498 -0.58742745 -0.03851498 -0.09335461 0.01574848 -0.58742745 0.01574848 0.01615790 -0.13062897 -0.58742745 -0.00734755 -0.58742745 0.01574848 0.01615790 -0.00734755 0.01615790 0.16020737 0.80550554 -0.19378620 0.45225264 -0.19378620 -0.76423053 -0.07904611 0.45225264 -0.07904611 -0.34382802 -0.19378620 -0.76423053 -0.07904611 -0.76423053 0.15064836 -0.37402656 -0.07904611 -0.37402656 0.00078964 0.45225264 -0.07904611 -0.34382802 -0.07904611 -0.37402656 0.00078964 -0.34382802 0.00078964 0.56287800 +DEAL::1.08123937 0.10147325 2.57667836 0.10147325 -1.10291020 0.09888846 2.57667836 0.09888846 0.16434515 0.10147325 -1.10291020 0.09888846 -1.10291020 -0.08075054 -0.71608316 0.09888846 -0.71608316 0.01361039 2.57667836 0.09888846 0.16434515 0.09888846 -0.71608316 0.01361039 0.16434515 0.01361039 -2.53358540 -0.04813701 0.25813105 -0.08473097 0.25813105 0.04605947 0.82558027 -0.08473097 0.82558027 -0.00281573 0.25813105 0.04605947 0.82558027 0.04605947 -0.20229244 0.01358227 0.82558027 0.01358227 0.01728286 -0.08473097 0.82558027 -0.00281573 0.82558027 0.01358227 0.01728286 -0.00281573 0.01728286 0.08793792 -1.08123937 -0.10147325 0.36967020 -0.10147325 1.10291020 0.04225986 0.36967020 0.04225986 -0.56445187 -0.10147325 1.10291020 0.04225986 1.10291020 0.08075054 -0.51635940 0.04225986 -0.51635940 -0.00289922 0.36967020 0.04225986 -0.56445187 0.04225986 -0.51635940 -0.00289922 -0.56445187 -0.00289922 1.35354842 +DEAL::0.56287800 -0.34382802 0.00078964 -0.34382802 0.45225264 -0.07904611 0.00078964 -0.07904611 -0.37402656 -0.34382802 0.45225264 -0.07904611 0.45225264 0.80550554 -0.19378620 -0.07904611 -0.19378620 -0.76423053 0.00078964 -0.07904611 -0.37402656 -0.07904611 -0.19378620 -0.76423053 -0.37402656 -0.76423053 0.15064836 1.64646173 0.14550265 -0.02174797 0.14550265 -1.61085217 0.14974534 -0.02174797 0.14974534 0.42760078 0.14550265 -1.61085217 0.14974534 -1.61085217 0.80550554 -0.19378620 0.14974534 -0.19378620 -0.76423053 -0.02174797 0.14974534 0.42760078 0.14974534 -0.19378620 -0.76423053 0.42760078 -0.76423053 0.15064836 0.16020737 -0.00734755 0.01615790 -0.00734755 -0.13062897 -0.58742745 0.01615790 -0.58742745 0.01574848 -0.00734755 -0.13062897 -0.58742745 -0.13062897 0.07070207 0.10434485 -0.58742745 0.10434485 -0.03851498 0.01615790 -0.58742745 0.01574848 -0.58742745 0.10434485 -0.03851498 0.01574848 -0.03851498 -0.09335461 +DEAL::1.35354842 -0.56445187 -0.00289922 -0.56445187 0.36967020 0.04225986 -0.00289922 0.04225986 -0.51635940 -0.56445187 0.36967020 0.04225986 0.36967020 -1.08123937 -0.10147325 0.04225986 -0.10147325 1.10291020 -0.00289922 0.04225986 -0.51635940 0.04225986 -0.10147325 1.10291020 -0.51635940 1.10291020 0.08075054 -2.53358540 0.16434515 0.01361039 0.16434515 2.57667836 0.09888846 0.01361039 0.09888846 -0.71608316 0.16434515 2.57667836 0.09888846 2.57667836 1.08123937 0.10147325 0.09888846 0.10147325 -1.10291020 0.01361039 0.09888846 -0.71608316 0.09888846 0.10147325 -1.10291020 -0.71608316 -1.10291020 -0.08075054 0.08793792 -0.00281573 0.01728286 -0.00281573 -0.08473097 0.82558027 0.01728286 0.82558027 0.01358227 -0.00281573 -0.08473097 0.82558027 -0.08473097 -0.04813701 0.25813105 0.82558027 0.25813105 0.04605947 0.01728286 0.82558027 0.01358227 0.82558027 0.25813105 0.04605947 0.01358227 0.04605947 -0.20229244 +DEAL::-9.63400755 1.47450024 -0.16660097 1.47450024 12.36488746 -1.32183156 -0.16660097 -1.32183156 -4.21324588 1.47450024 12.36488746 -1.32183156 12.36488746 -1.45530963 0.14273550 -1.32183156 0.14273550 0.50613568 -0.16660097 -1.32183156 -4.21324588 -1.32183156 0.14273550 0.50613568 -4.21324588 0.50613568 -0.02424548 -0.76177699 -10.82251742 1.23273149 -10.82251742 1.23712561 -0.16555486 1.23273149 -0.16555486 -0.46077437 -10.82251742 1.23712561 -0.16555486 1.23712561 15.59800894 -1.07676408 -0.16555486 -1.07676408 -7.35380305 1.23273149 -0.16555486 -0.46077437 -0.16555486 -1.07676408 -7.35380305 -0.46077437 -7.35380305 0.46307352 -0.03063588 -0.73834272 -2.91395996 -0.73834272 0.05560646 0.27113173 -2.91395996 0.27113173 -0.05076739 -0.73834272 0.05560646 0.27113173 0.05560646 1.64690268 6.29102696 0.27113173 6.29102696 -0.93093052 -2.91395996 0.27113173 -0.05076739 0.27113173 6.29102696 -0.93093052 -0.05076739 -0.93093052 -3.82617322 +DEAL::0 -0.02391803 0 -0.02391803 -0.59410174 -0.04963535 0 -0.04963535 0 -0.02391803 -0.59410174 -0.04963535 -0.59410174 -0.26004847 0.00467000 -0.04963535 0.00467000 0.01912282 0 -0.04963535 0 -0.04963535 0.00467000 0.01912282 0 0.01912282 0 0 -0.57297513 0 -0.57297513 -0.04925768 -0.00496881 0 -0.00496881 0 -0.57297513 -0.04925768 -0.00496881 -0.04925768 2.47170265 -0.25583209 -0.00496881 -0.25583209 -0.38354144 0 -0.00496881 0 -0.00496881 -0.25583209 -0.38354144 0 -0.38354144 0 0 -0.04729932 0 -0.04729932 0.00651829 0.01815159 0 0.01815159 0 -0.04729932 0.00651829 0.01815159 0.00651829 0.15955788 -0.12170592 0.01815159 -0.12170592 0.12014866 0 0.01815159 0 0.01815159 -0.12170592 0.12014866 0 0.12014866 0 +DEAL::-0.20229244 0.04605947 -0.04974751 0.04605947 0.25813105 -1.00343919 -0.04974751 -1.00343919 -0.01571809 0.04605947 0.25813105 -1.00343919 0.25813105 -0.04813701 0.11198898 -1.00343919 0.11198898 -0.00533610 -0.04974751 -1.00343919 -0.01571809 -1.00343919 0.11198898 -0.00533610 -0.01571809 -0.00533610 -0.09433994 -0.08075054 -1.10291020 0.79996233 -1.10291020 0.10147325 -0.10209352 0.79996233 -0.10209352 -0.00163438 -1.10291020 0.10147325 -0.10209352 0.10147325 1.08123937 -2.43912740 -0.10209352 -2.43912740 0.09762116 0.79996233 -0.10209352 -0.00163438 -0.10209352 -2.43912740 0.09762116 -0.00163438 0.09762116 2.28011634 -0.08075054 -1.10291020 -0.59470017 -1.10291020 0.10147325 0.05998602 -0.59470017 0.05998602 -0.00595059 -1.10291020 0.10147325 0.05998602 0.10147325 1.08123937 0.70761345 0.05998602 0.70761345 0.41080079 -0.59470017 0.05998602 -0.00595059 0.05998602 0.70761345 0.41080079 -0.00595059 0.41080079 0.51760370 +DEAL::-0.09335461 -0.03851498 -0.06390325 -0.03851498 0.10434485 0.70855762 -0.06390325 0.70855762 -0.00558613 -0.03851498 0.10434485 0.70855762 0.10434485 0.07070207 0.14492643 0.70855762 0.14492643 -0.02743453 -0.06390325 0.70855762 -0.00558613 0.70855762 0.14492643 -0.02743453 -0.00558613 -0.02743453 -0.16575090 0.15064836 -0.76423053 -0.47501907 -0.76423053 -0.19378620 -0.18995887 -0.47501907 -0.18995887 0.00269587 -0.76423053 -0.19378620 -0.18995887 -0.19378620 0.80550554 1.42063946 -0.18995887 1.42063946 -0.16705696 -0.47501907 -0.18995887 0.00269587 -0.18995887 1.42063946 -0.16705696 0.00269587 -0.16705696 -1.49631750 -0.15064836 0.76423053 -0.41095312 0.76423053 0.19378620 -0.09650588 -0.41095312 -0.09650588 -0.01310501 0.76423053 0.19378620 -0.09650588 0.19378620 -0.80550554 0.56461229 -0.09650588 0.56461229 0.40711819 -0.41095312 -0.09650588 -0.01310501 -0.09650588 0.56461229 0.40711819 -0.01310501 0.40711819 0.16192171 +DEAL::1.64690268 6.29102696 0.05560646 6.29102696 -0.93093052 0.27113173 0.05560646 0.27113173 -0.73834272 6.29102696 -0.93093052 0.27113173 -0.93093052 -3.82617322 -0.05076739 0.27113173 -0.05076739 -2.91395996 0.05560646 0.27113173 -0.73834272 0.27113173 -0.05076739 -2.91395996 -0.73834272 -2.91395996 -0.03063588 -15.59800894 1.07676408 -1.23712561 1.07676408 7.35380305 0.16555486 -1.23712561 0.16555486 10.82251742 1.07676408 7.35380305 0.16555486 7.35380305 -0.46307352 0.46077437 0.16555486 0.46077437 -1.23273149 -1.23712561 0.16555486 10.82251742 0.16555486 0.46077437 -1.23273149 10.82251742 -1.23273149 0.76177699 -1.45530963 0.14273550 12.36488746 0.14273550 0.50613568 -1.32183156 12.36488746 -1.32183156 1.47450024 0.14273550 0.50613568 -1.32183156 0.50613568 -0.02424548 -4.21324588 -1.32183156 -4.21324588 -0.16660097 12.36488746 -1.32183156 1.47450024 -1.32183156 -4.21324588 -0.16660097 1.47450024 -0.16660097 -9.63400755 +DEAL::-0.05105810 -0.02806280 0.00650215 -0.02806280 -0.04821092 -0.04699156 0.00650215 -0.04699156 0.01758451 -0.02806280 -0.04821092 -0.04699156 -0.04821092 0 0 -0.04699156 0 0 0.00650215 -0.04699156 0.01758451 -0.04699156 0 0 0.01758451 0 0 -2.31829745 -0.10261508 -0.13146663 -0.10261508 0.36659301 0.00479060 -0.13146663 0.00479060 0.56221229 -0.10261508 0.36659301 0.00479060 0.36659301 0 0 0.00479060 0 0 -0.13146663 0.00479060 0.56221229 0.00479060 0 0 0.56221229 0 0 0.70228122 0.00528063 -0.63645804 0.00528063 -0.04937924 0.01864533 -0.63645804 0.01864533 0.05600112 0.00528063 -0.04937924 0.01864533 -0.04937924 0 0 0.01864533 0 0 -0.63645804 0.01864533 0.05600112 0.01864533 0 0 0.05600112 0 0 +DEAL::0.80550554 0.56461229 -0.19378620 0.56461229 -0.40711819 -0.09650588 -0.19378620 -0.09650588 -0.76423053 0.56461229 -0.40711819 -0.09650588 -0.40711819 0.16192171 0.01310501 -0.09650588 0.01310501 -0.41095312 -0.19378620 -0.09650588 -0.76423053 -0.09650588 0.01310501 -0.41095312 -0.76423053 -0.41095312 0.15064836 -0.80550554 1.42063946 0.19378620 1.42063946 0.16705696 -0.18995887 0.19378620 -0.18995887 0.76423053 1.42063946 0.16705696 -0.18995887 0.16705696 -1.49631750 -0.00269587 -0.18995887 -0.00269587 -0.47501907 0.19378620 -0.18995887 0.76423053 -0.18995887 -0.00269587 -0.47501907 0.76423053 -0.47501907 -0.15064836 0.07070207 -0.14492643 0.10434485 -0.14492643 -0.02743453 -0.70855762 0.10434485 -0.70855762 -0.03851498 -0.14492643 -0.02743453 -0.70855762 -0.02743453 0.16575090 -0.00558613 -0.70855762 -0.00558613 0.06390325 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 DEAL:: diff --git a/tests/fe/jacobians_face_cartesian.cc b/tests/fe/jacobians_face_cartesian.cc index 56d4c5e556..87814e2241 100644 --- a/tests/fe/jacobians_face_cartesian.cc +++ b/tests/fe/jacobians_face_cartesian.cc @@ -29,126 +29,323 @@ template void test() { - Triangulation tria; - GridGenerator::hyper_cube (tria); - tria.refine_global(1); - tria.begin_active()->set_refine_flag(); - tria.execute_coarsening_and_refinement(); - - MappingCartesian mapping; - FE_Nothing dummy; - // choose a point that is not right in the middle of the cell so that the - // Jacobian contains many nonzero entries - Point quad_p; - for (int d=0; d quad(quad_p); - FEFaceValues fe_val (mapping, dummy, quad, - update_jacobians | update_inverse_jacobians | - update_jacobian_grads); - FESubfaceValues fe_sub_val (mapping, dummy, quad, - update_jacobians | update_inverse_jacobians | - update_jacobian_grads); - deallog << dim << "d Jacobians:" << std::endl; - typename Triangulation::active_cell_iterator - cell = tria.begin_active(), endc = tria.end(); - for ( ; cell != endc; ++cell) - for (unsigned int f=0; f::faces_per_cell; ++f) - { - fe_val.reinit (cell, f); - - for (unsigned int d=0; dat_boundary(f) == false && - cell->neighbor(f)->level() < cell->level()) - { - fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), - cell->neighbor_of_coarser_neighbor(f).second); - - for (unsigned int d=0; d::faces_per_cell; ++f) - { - fe_val.reinit (cell, f); - - for (unsigned int d=0; dat_boundary(f) == false && - cell->neighbor(f)->level() < cell->level()) - { - fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), - cell->neighbor_of_coarser_neighbor(f).second); - - for (unsigned int d=0; d::faces_per_cell; ++f) - { - fe_val.reinit (cell, f); - - for (unsigned int d=0; dat_boundary(f) == false && - cell->neighbor(f)->level() < cell->level()) - { - fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), - cell->neighbor_of_coarser_neighbor(f).second); - - for (unsigned int d=0; d tria; + GridGenerator::hyper_cube (tria); + tria.refine_global(1); + tria.begin_active()->set_refine_flag(); + tria.execute_coarsening_and_refinement(); + + MappingCartesian mapping; + FE_Nothing dummy; + // choose a point that is not right in the middle of the cell so that the + // Jacobian contains many nonzero entries + Point quad_p; + for (int d=0; d quad(quad_p); + + { + FEFaceValues fe_val (mapping, dummy, quad, update_jacobians); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobians); + + deallog << dim << "D Jacobians:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_inverse_jacobians); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_inverse_jacobians); + + deallog << dim << "D inverse Jacobians:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_grads); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_grads); + + deallog << dim << "D Jacobian gradients:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_pushed_forward_grads); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_pushed_forward_grads); + + deallog << dim << "D Jacobian pushed forward gradients:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_2nd_derivatives); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_2nd_derivatives); + + deallog << dim << "D Jacobian hessians:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_pushed_forward_2nd_derivatives); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_pushed_forward_2nd_derivatives); + + deallog << dim << "D Jacobian pushed forward hessians:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_3rd_derivatives); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_3rd_derivatives); + + deallog << dim << "D Jacobian hessian gradients:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_pushed_forward_3rd_derivatives); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_pushed_forward_3rd_derivatives); + + deallog << dim << "D Jacobian pushed forward hessian gradients:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d(); - test<3>(); + test<2>(); + test<3>(); - return 0; + return 0; } diff --git a/tests/fe/jacobians_face_cartesian.output b/tests/fe/jacobians_face_cartesian.output index b0bd9c32f3..bf083c0418 100644 --- a/tests/fe/jacobians_face_cartesian.output +++ b/tests/fe/jacobians_face_cartesian.output @@ -1,5 +1,5 @@ -DEAL::2d Jacobians: +DEAL::2D Jacobians: DEAL::0.50000000 0 0 0.50000000 DEAL::0.50000000 0 0 0.50000000 DEAL::0.50000000 0 0 0.50000000 @@ -33,7 +33,7 @@ DEAL::0.25000000 0 0 0.25000000 DEAL::0.25000000 0 0 0.25000000 DEAL::0.50000000 0 0 0.50000000 DEAL:: -DEAL::2d inverse Jacobians: +DEAL::2D inverse Jacobians: DEAL::2.00000000 0 0 2.00000000 DEAL::2.00000000 0 0 2.00000000 DEAL::2.00000000 0 0 2.00000000 @@ -67,7 +67,7 @@ DEAL::4.00000000 0 0 4.00000000 DEAL::4.00000000 0 0 4.00000000 DEAL::2.00000000 0 0 2.00000000 DEAL:: -DEAL::2d Jacobian gradients: +DEAL::2D Jacobian gradients: DEAL::0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 @@ -101,7 +101,177 @@ DEAL::0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 DEAL::0 0 0 0 0 0 0 0 DEAL:: -DEAL::3d Jacobians: +DEAL::2D Jacobian pushed forward gradients: +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL:: +DEAL::2D Jacobian hessians: +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL:: diff --git a/tests/fe/jacobians_face_fe_field.cc b/tests/fe/jacobians_face_fe_field.cc index e5ae45626d..000b9e0816 100644 --- a/tests/fe/jacobians_face_fe_field.cc +++ b/tests/fe/jacobians_face_fe_field.cc @@ -35,122 +35,319 @@ template void test() { - Triangulation tria; - GridGenerator::hyper_ball (tria); - static const HyperBallBoundary boundary; - tria.set_boundary (0, boundary); - tria.begin_active()->set_refine_flag(); - tria.execute_coarsening_and_refinement(); - - // create Euler vector field and MappingFEField - FESystem fe_euler(FE_Q (QGaussLobatto<1>(4)), dim); - DoFHandler map_dh(tria); - map_dh.distribute_dofs (fe_euler); - - Vector euler_vec(map_dh.n_dofs()); - VectorTools::get_position_vector(map_dh, euler_vec); - - MappingFEField mapping(map_dh, euler_vec); - - FE_Nothing dummy; - // choose a point that is not right in the middle of the cell so that the - // Jacobian contains many nonzero entries - Point quad_p; - for (int d=0; d quad(quad_p); - FEFaceValues fe_val (mapping, dummy, quad, - update_jacobians | update_inverse_jacobians | - update_jacobian_grads); - FESubfaceValues fe_sub_val (mapping, dummy, quad, - update_jacobians | update_inverse_jacobians | - update_jacobian_grads); - deallog << dim << "d Jacobians:" << std::endl; - typename Triangulation::active_cell_iterator - cell = tria.begin_active(), endc = tria.end(); - for ( ; cell != endc; ++cell) - for (unsigned int f=0; f::faces_per_cell; ++f) - { - fe_val.reinit (cell, f); - - for (unsigned int d=0; dat_boundary(f) == false && - cell->neighbor(f)->level() < cell->level()) - { - fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), - cell->neighbor_of_coarser_neighbor(f).second); - - for (unsigned int d=0; d::faces_per_cell; ++f) - { - fe_val.reinit (cell, f); - - for (unsigned int d=0; dat_boundary(f) == false && - cell->neighbor(f)->level() < cell->level()) - { - fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), - cell->neighbor_of_coarser_neighbor(f).second); - - for (unsigned int d=0; d::faces_per_cell; ++f) - { - fe_val.reinit (cell, f); - - for (unsigned int d=0; dat_boundary(f) == false && - cell->neighbor(f)->level() < cell->level()) - { - fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), - cell->neighbor_of_coarser_neighbor(f).second); - - for (unsigned int d=0; d tria; + GridGenerator::hyper_ball (tria); + static const HyperBallBoundary boundary; + tria.set_boundary (0, boundary); + tria.begin_active()->set_refine_flag(); + tria.execute_coarsening_and_refinement(); + + // create Euler vector field and MappingFEField + FESystem fe_euler(FE_Q (QGaussLobatto<1>(4)), dim); + DoFHandler map_dh(tria); + map_dh.distribute_dofs (fe_euler); + + Vector euler_vec(map_dh.n_dofs()); + VectorTools::get_position_vector(map_dh, euler_vec); + + MappingFEField mapping(map_dh, euler_vec); + + FE_Nothing dummy; + // choose a point that is not right in the middle of the cell so that the + // Jacobian contains many nonzero entries + Point quad_p; + for (int d=0; d quad(quad_p); + + { + FEFaceValues fe_val (mapping, dummy, quad, update_jacobians); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobians); + + deallog << dim << "D Jacobians:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_inverse_jacobians); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_inverse_jacobians); + + deallog << dim << "D inverse Jacobians:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_grads); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_grads); + + deallog << dim << "D Jacobian gradients:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_pushed_forward_grads); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_pushed_forward_grads); + + deallog << dim << "D Jacobian pushed forward gradients:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_2nd_derivatives); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_2nd_derivatives); + + deallog << dim << "D Jacobian hessians:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_pushed_forward_2nd_derivatives); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_pushed_forward_2nd_derivatives); + + deallog << dim << "D Jacobian pushed forward hessians:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_3rd_derivatives); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_3rd_derivatives); + + deallog << dim << "D Jacobian hessian gradients:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d fe_val (mapping, dummy, quad, update_jacobian_pushed_forward_3rd_derivatives); + FESubfaceValues fe_sub_val (mapping, dummy, quad, update_jacobian_pushed_forward_3rd_derivatives); + + deallog << dim << "D Jacobian pushed forward hessian gradients:" << std::endl; + typename Triangulation::active_cell_iterator + cell = tria.begin_active(), endc = tria.end(); + for ( ; cell != endc; ++cell) + for (unsigned int f=0; f::faces_per_cell; ++f) + { + fe_val.reinit (cell, f); + + for (unsigned int d=0; dat_boundary(f) == false && + cell->neighbor(f)->level() < cell->level()) + { + fe_sub_val.reinit(cell->neighbor(f), cell->neighbor_face_no(f), + cell->neighbor_of_coarser_neighbor(f).second); + + for (unsigned int d=0; d(); - test<3>(); + test<2>(); + test<3>(); - return 0; + return 0; } diff --git a/tests/fe/jacobians_face_fe_field.output b/tests/fe/jacobians_face_fe_field.output index 6846c5b81b..4f8cbeab87 100644 --- a/tests/fe/jacobians_face_fe_field.output +++ b/tests/fe/jacobians_face_fe_field.output @@ -1,5 +1,5 @@ -DEAL::2d Jacobians: +DEAL::2D Jacobians: DEAL::1.23963445 -0.18547181 0.12412324 1.55786718 DEAL::0.53368238 0 0.07513814 0.58578644 DEAL::0.41421356 -0.28894903 0.41421356 1.06007883 @@ -39,7 +39,7 @@ DEAL::0.50000000 -0.08698485 0.14644661 0.29204581 DEAL::0.29289322 -0.08698485 0 0.29204581 DEAL::0.58578644 0 0 0.58578644 DEAL:: -DEAL::2d inverse Jacobians: +DEAL::2D inverse Jacobians: DEAL::0.79718629 0.09490898 -0.06351591 0.63434136 DEAL::1.87377370 0 -0.24034676 1.70710678 DEAL::1.89711181 0.51710175 -0.74127453 0.74127453 @@ -79,7 +79,7 @@ DEAL::1.83952492 0.54789621 -0.92243125 3.14937729 DEAL::3.41421356 1.01691184 0 3.42412029 DEAL::1.70710678 0 0 1.70710678 DEAL:: -DEAL::2d Jacobian gradients: +DEAL::2D Jacobian gradients: DEAL::-1.84633620 0.54214837 0.54214837 2.31839763 -0.17634636 -1.51354439 -1.51354439 0.29875970 DEAL::0.43443205 0.07846884 0.07846884 0 0.07837616 -0.93340477 -0.93340477 0 DEAL::0 1.03088442 1.03088442 0.57789806 0 -0.66806882 -0.66806882 0.03717203 @@ -119,7 +119,207 @@ DEAL::0 -0.20710678 -0.20710678 0 0 -0.14644661 -0.14644661 0 DEAL::0 -0.20710678 -0.20710678 0 0 -0.14644661 -0.14644661 0 DEAL::0 0 0 0 0 0 0 0 DEAL:: -DEAL::3d Jacobians: +DEAL::2D Jacobian pushed forward gradients: +DEAL::-1.21890695 0.03778579 0.03778579 0.98154610 0.04240975 -0.78163725 -0.78163725 -0.06361582 +DEAL::1.45462529 0.25100078 0.25100078 0 1.11590870 -2.98571151 -2.98571151 0 +DEAL::-2.58187767 0.73701203 0.73701203 1.10785361 1.89941011 -0.70383748 -0.70383748 -0.49173516 +DEAL::-2.58187767 -0.73701203 -0.73701203 1.10785361 -1.89941011 -0.70383748 -0.70383748 0.49173516 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 +DEAL::2.58187767 0.73701203 0.73701203 -1.10785361 1.89941011 0.70383748 0.70383748 -0.49173516 +DEAL::2.58187767 -0.73701203 -0.73701203 -1.10785361 -1.89941011 0.70383748 0.70383748 0.49173516 +DEAL::1.21890695 0.03778579 0.03778579 -0.98154610 0.04240975 0.78163725 0.78163725 -0.06361582 +DEAL::-1.45462529 0.25100078 0.25100078 0 1.11590870 2.98571151 2.98571151 0 +DEAL::-0.06361582 0.78163725 0.78163725 0.04240975 -0.98154610 0.03778579 0.03778579 1.21890695 +DEAL::0 2.98571151 2.98571151 1.11590870 0 0.25100078 0.25100078 -1.45462529 +DEAL::-0.49173516 0.70383748 0.70383748 1.89941011 -1.10785361 0.73701203 0.73701203 2.58187767 +DEAL::0.49173516 0.70383748 0.70383748 -1.89941011 -1.10785361 -0.73701203 -0.73701203 2.58187767 +DEAL::-0.23140887 -0.22742037 -0.22742037 0.68624961 1.59332829 0.50868037 0.50868037 -2.61068902 +DEAL::-3.23833734 0.47693895 0.47693895 2.28445944 0.44672216 -0.23961605 -0.23961605 0.03250995 +DEAL::-0.50461134 -1.27130229 -1.27130229 0 0.09648322 -0.48405904 -0.48405904 0 +DEAL::-0.25898748 -0.84819687 -0.84819687 -0.13382627 1.03519408 -0.49939857 -0.49939857 -1.78197287 +DEAL::-0.61219502 -0.83036552 -0.83036552 1.46617764 0.60261815 1.04225770 1.04225770 0.09234883 +DEAL::0.50461134 -1.27130229 -1.27130229 0 0.09648322 0.48405904 0.48405904 0 +DEAL::0.23140887 -0.22742037 -0.22742037 -0.68624961 1.59332829 -0.50868037 -0.50868037 -2.61068902 +DEAL::3.23833734 0.47693895 0.47693895 -2.28445944 0.44672216 0.23961605 0.23961605 0.03250995 +DEAL::0.29292769 -0.94878191 -0.94878191 0.01436123 0.73910871 0.69809357 0.69809357 -1.48211841 +DEAL::0.67483160 -1.00464331 -1.00464331 -1.00627994 0.48376844 -0.89403923 -0.89403923 0.46566350 +DEAL::-0.68510721 -1.32310967 -1.32310967 3.33132655 0.48444395 0.93557982 0.93557982 -2.35560359 +DEAL::-1.45306543 0.49363296 0.49363296 0.46579951 4.26893483 -1.89135840 -1.89135840 -0.48621803 +DEAL::-0.58337076 -1.41831706 -1.41831706 0 0.41250542 1.00290161 1.00290161 0 +DEAL::-0.70619584 -1.04764948 -1.04764948 1.07822383 0.49935586 0.74080005 0.74080005 -0.76241938 +DEAL::0 -2.63242363 -2.63242363 2.35439251 0 1.86140460 1.86140460 -1.66480691 +DEAL::0 0 0 0 0 0 0 0 +DEAL::0.58337076 -1.41831706 -1.41831706 0 0.41250542 -1.00290161 -1.00290161 0 +DEAL::0.68510721 -1.32310967 -1.32310967 -3.33132655 0.48444395 -0.93557982 -0.93557982 -2.35560359 +DEAL::1.45306543 0.49363296 0.49363296 -0.46579951 4.26893483 1.89135840 1.89135840 -0.48621803 +DEAL::0.70285218 -1.09517267 -1.09517267 -0.71473871 0.49699154 -0.77440402 -0.77440402 -0.50539659 +DEAL::0 -2.42121868 -2.42121868 -1.44230342 0 -1.71206015 -1.71206015 -1.01986253 +DEAL::0 0 0 0 0 0 0 0 +DEAL:: +DEAL::2D Jacobian hessians: +DEAL::2.28076825 -1.21270030 -1.21270030 -6.77685461 -1.21270030 -6.77685461 -6.77685461 0 0.25472252 2.08850264 2.08850264 -1.42485394 2.08850264 -1.42485394 -1.42485394 -3.73449621 +DEAL::2.28076825 0.28534125 0.28534125 -0.98086054 0.28534125 -0.98086054 -0.98086054 0 0.25472252 -0.92822340 -0.92822340 -0.21832439 -0.92822340 -0.21832439 -0.21832439 0 +DEAL::0 -3.64701781 -3.64701781 -2.06176885 -3.64701781 -2.06176885 -2.06176885 0 0 -1.77963108 -1.77963108 -0.96214986 -1.77963108 -0.96214986 -0.96214986 -0.07434405 +DEAL::0 3.64701781 3.64701781 -2.06176885 3.64701781 -2.06176885 -2.06176885 0 0 -1.77963108 -1.77963108 0.96214986 -1.77963108 0.96214986 0.96214986 -0.07434405 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 2.06176885 2.06176885 3.64701781 2.06176885 3.64701781 3.64701781 0 -0.07434405 -0.96214986 -0.96214986 -1.77963108 -0.96214986 -1.77963108 -1.77963108 0 +DEAL::0 2.06176885 2.06176885 -3.64701781 2.06176885 -3.64701781 -3.64701781 0 -0.07434405 0.96214986 0.96214986 -1.77963108 0.96214986 -1.77963108 -1.77963108 0 +DEAL::0 6.77685461 6.77685461 1.21270030 6.77685461 1.21270030 1.21270030 -2.28076825 -3.73449621 -1.42485394 -1.42485394 2.08850264 -1.42485394 2.08850264 2.08850264 0.25472252 +DEAL::0 0.98086054 0.98086054 -0.28534125 0.98086054 -0.28534125 -0.28534125 -2.28076825 0 -0.21832439 -0.21832439 -0.92822340 -0.21832439 -0.92822340 -0.92822340 0.25472252 +DEAL::0.25472252 2.08850264 2.08850264 -1.42485394 2.08850264 -1.42485394 -1.42485394 -3.73449621 -2.28076825 1.21270030 1.21270030 6.77685461 1.21270030 6.77685461 6.77685461 0 +DEAL::0.25472252 -0.92822340 -0.92822340 -0.21832439 -0.92822340 -0.21832439 -0.21832439 0 -2.28076825 -0.28534125 -0.28534125 0.98086054 -0.28534125 0.98086054 0.98086054 0 +DEAL::0 -1.77963108 -1.77963108 -0.96214986 -1.77963108 -0.96214986 -0.96214986 -0.07434405 0 3.64701781 3.64701781 2.06176885 3.64701781 2.06176885 2.06176885 0 +DEAL::0 -1.77963108 -1.77963108 0.96214986 -1.77963108 0.96214986 0.96214986 -0.07434405 0 -3.64701781 -3.64701781 2.06176885 -3.64701781 2.06176885 2.06176885 0 +DEAL::-0.00882831 -0.32096298 -0.32096298 -0.57697184 -0.32096298 -0.57697184 -0.57697184 0 0.00365680 -0.45171220 -0.45171220 -0.79520170 -0.45171220 -0.79520170 -0.79520170 0 +DEAL::0 -5.61319734 -5.61319734 -4.00641403 -5.61319734 -4.00641403 -4.00641403 0 0 -3.15205843 -3.15205843 -4.06911425 -3.15205843 -4.06911425 -4.06911425 -1.07038547 +DEAL::-0.00882831 -0.09245366 -0.09245366 0.15431181 -0.09245366 0.15431181 0.15431181 0 0.00365680 -0.54636386 -0.54636386 0.97027321 -0.54636386 0.97027321 0.97027321 0 +DEAL::-0.44346895 -0.84863271 -0.84863271 0.12642569 -0.84863271 0.12642569 0.12642569 0.25891284 0.18369085 -1.57020941 -1.57020941 -0.39625479 -1.57020941 -0.39625479 -0.39625479 0.53951626 +DEAL::0 -0.12426475 -0.12426475 -0.08161824 -0.12426475 -0.08161824 -0.08161824 0.25891284 0 -0.22667220 -0.22667220 0.11472210 -0.22667220 0.11472210 0.11472210 0.53951626 +DEAL::-0.00882831 0.09245366 0.09245366 0.15431181 0.09245366 0.15431181 0.15431181 0 -0.00365680 -0.54636386 -0.54636386 -0.97027321 -0.54636386 -0.97027321 -0.97027321 0 +DEAL::-0.00882831 0.32096298 0.32096298 -0.57697184 0.32096298 -0.57697184 -0.57697184 0 -0.00365680 -0.45171220 -0.45171220 0.79520170 -0.45171220 0.79520170 0.79520170 0 +DEAL::0 4.00641403 4.00641403 5.61319734 4.00641403 5.61319734 5.61319734 0 -1.07038547 -4.06911425 -4.06911425 -3.15205843 -4.06911425 -3.15205843 -3.15205843 0 +DEAL::-0.44346895 0.51023178 0.51023178 0.36959092 0.51023178 0.36959092 0.36959092 -0.19841658 -0.18369085 -1.71037966 -1.71037966 -0.19079799 -1.71037966 -0.19079799 -0.19079799 0.56457463 +DEAL::0 0.07241300 0.07241300 -0.13883359 0.07241300 -0.13883359 -0.13883359 -0.19841658 0 -0.24814990 -0.24814990 0.02340796 -0.24814990 0.02340796 0.02340796 0.56457463 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 -0.93181751 -0.93181751 -0.73390660 -0.93181751 -0.73390660 -0.73390660 0 0 0.11562575 0.11562575 0.48553478 0.11562575 0.48553478 0.48553478 -0.09551678 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0.73390660 0.73390660 0.93181751 0.73390660 0.93181751 0.93181751 0 -0.09551678 0.48553478 0.48553478 0.11562575 0.48553478 0.11562575 0.11562575 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL:: +DEAL::2D Jacobian pushed forward hessians: +DEAL::1.23694175 0.09308763 0.09308763 -2.22137753 0.09308763 -2.22137753 -2.22137753 -0.79526898 -0.13664926 0.91865180 0.91865180 -0.14961250 0.91865180 -0.14961250 -0.14961250 -1.08046573 +DEAL::13.96400461 3.21843030 3.21843030 -5.35606422 3.21843030 -5.35606422 -5.35606422 0 3.95477490 -5.22779442 -5.22779442 -1.19217710 -5.22779442 -1.19217710 -1.19217710 0 +DEAL::22.74151534 -0.71291691 -0.71291691 -5.55887018 -0.71291691 -5.55887018 -5.55887018 -3.92615407 11.26481335 -0.45726803 -0.45726803 -2.66144422 -0.45726803 -2.66144422 -2.66144422 -1.90867660 +DEAL::22.74151534 0.71291691 0.71291691 -5.55887018 0.71291691 -5.55887018 -5.55887018 3.92615407 -11.26481335 -0.45726803 -0.45726803 2.66144422 -0.45726803 2.66144422 2.66144422 -1.90867660 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::22.74151534 0.71291691 0.71291691 -5.55887018 0.71291691 -5.55887018 -5.55887018 3.92615407 -11.26481335 -0.45726803 -0.45726803 2.66144422 -0.45726803 2.66144422 2.66144422 -1.90867660 +DEAL::22.74151534 -0.71291691 -0.71291691 -5.55887018 -0.71291691 -5.55887018 -5.55887018 -3.92615407 11.26481335 -0.45726803 -0.45726803 -2.66144422 -0.45726803 -2.66144422 -2.66144422 -1.90867660 +DEAL::1.23694175 -0.09308763 -0.09308763 -2.22137753 -0.09308763 -2.22137753 -2.22137753 0.79526898 0.13664926 0.91865180 0.91865180 0.14961250 0.91865180 0.14961250 0.14961250 -1.08046573 +DEAL::13.96400461 -3.21843030 -3.21843030 -5.35606422 -3.21843030 -5.35606422 -5.35606422 0 -3.95477490 -5.22779442 -5.22779442 1.19217710 -5.22779442 1.19217710 1.19217710 0 +DEAL::-1.08046573 0.14961250 0.14961250 0.91865180 0.14961250 0.91865180 0.91865180 0.13664926 0.79526898 -2.22137753 -2.22137753 -0.09308763 -2.22137753 -0.09308763 -0.09308763 1.23694175 +DEAL::0 1.19217710 1.19217710 -5.22779442 1.19217710 -5.22779442 -5.22779442 -3.95477490 0 -5.35606422 -5.35606422 -3.21843030 -5.35606422 -3.21843030 -3.21843030 13.96400461 +DEAL::-1.90867660 2.66144422 2.66144422 -0.45726803 2.66144422 -0.45726803 -0.45726803 -11.26481335 3.92615407 -5.55887018 -5.55887018 0.71291691 -5.55887018 0.71291691 0.71291691 22.74151534 +DEAL::-1.90867660 -2.66144422 -2.66144422 -0.45726803 -2.66144422 -0.45726803 -0.45726803 11.26481335 -3.92615407 -5.55887018 -5.55887018 -0.71291691 -5.55887018 -0.71291691 -0.71291691 22.74151534 +DEAL::-7.14993756 -4.99110228 -4.99110228 2.04260951 -4.99110228 2.04260951 2.04260951 15.99541588 -9.88949697 -6.90050027 -6.90050027 2.89360384 -6.90050027 2.89360384 2.89360384 21.91018627 +DEAL::17.98984602 3.41165221 3.41165221 -6.13261885 3.41165221 -6.13261885 -6.13261885 -9.82694611 7.47787476 3.10801055 3.10801055 -3.20395161 3.10801055 -3.20395161 -3.20395161 -7.19005158 +DEAL::-0.14337316 0.32438702 0.32438702 1.90403919 0.32438702 1.90403919 1.90403919 0 -0.50900705 2.27489854 2.27489854 11.97211134 2.27489854 11.97211134 11.97211134 0 +DEAL::-3.15914580 -0.08154117 -0.08154117 2.41999000 -0.08154117 2.41999000 2.41999000 -0.36639921 -5.85861974 -2.75419613 -2.75419613 3.68895679 -2.75419613 3.68895679 3.68895679 2.57362541 +DEAL::-1.17281622 -0.96635498 -0.96635498 2.02329124 -0.96635498 2.02329124 2.02329124 7.84092181 -1.03307537 0.64730347 0.64730347 7.25187913 0.64730347 7.25187913 7.25187913 10.52646962 +DEAL::-0.14337316 -0.32438702 -0.32438702 1.90403919 -0.32438702 1.90403919 1.90403919 0 0.50900705 2.27489854 2.27489854 -11.97211134 2.27489854 -11.97211134 -11.97211134 0 +DEAL::-7.14993756 4.99110228 4.99110228 2.04260951 4.99110228 2.04260951 2.04260951 -15.99541588 9.88949697 -6.90050027 -6.90050027 -2.89360384 -6.90050027 -2.89360384 -2.89360384 21.91018627 +DEAL::17.98984602 -3.41165221 -3.41165221 -6.13261885 -3.41165221 -6.13261885 -6.13261885 9.82694611 -7.47787476 3.10801055 3.10801055 3.20395161 3.10801055 3.20395161 3.20395161 -7.19005158 +DEAL::-1.61172008 -0.30486008 -0.30486008 2.30652566 -0.30486008 2.30652566 2.30652566 0.68074175 3.95072338 -2.73198840 -2.73198840 -4.60926395 -2.73198840 -4.60926395 -4.60926395 1.14065591 +DEAL::-1.03191382 1.34032782 1.34032782 0.05162349 1.34032782 0.05162349 0.05162349 -6.33165140 1.85955182 -1.03078065 -1.03078065 -4.95730011 -1.03078065 -4.95730011 -4.95730011 12.81453914 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::8.32713355 0.01692515 0.01692515 -2.47918505 0.01692515 -2.47918505 -2.47918505 -0.94035384 2.05685462 -1.97526567 -1.97526567 1.16382632 -1.97526567 1.16382632 1.16382632 0.37746344 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::8.32713355 -0.01692515 -0.01692515 -2.47918505 -0.01692515 -2.47918505 -2.47918505 0.94035384 -2.05685462 -1.97526567 -1.97526567 -1.16382632 -1.97526567 -1.16382632 -1.16382632 0.37746344 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL:: +DEAL::2D Jacobian hessian gradients: +DEAL::0 1.49804154 1.49804154 15.15875373 1.49804154 15.15875373 15.15875373 0 1.49804154 15.15875373 15.15875373 0 15.15875373 0 0 0 0 -3.01672604 -3.01672604 4.34350636 -3.01672604 4.34350636 4.34350636 17.81067422 -3.01672604 4.34350636 4.34350636 17.81067422 4.34350636 17.81067422 17.81067422 0 +DEAL::0 1.49804154 1.49804154 -3.56676558 1.49804154 -3.56676558 -3.56676558 0 1.49804154 -3.56676558 -3.56676558 0 -3.56676558 0 0 0 0 -3.01672604 -3.01672604 -1.93044727 -3.01672604 -1.93044727 -1.93044727 2.72905492 -3.01672604 -1.93044727 -1.93044727 2.72905492 -1.93044727 2.72905492 2.72905492 0 +DEAL::0 9.36275965 9.36275965 7.29403562 9.36275965 7.29403562 7.29403562 0 9.36275965 7.29403562 7.29403562 0 7.29403562 0 0 0 0 6.53536836 6.53536836 10.67778646 6.53536836 10.67778646 10.67778646 1.92429971 6.53536836 10.67778646 10.67778646 1.92429971 10.67778646 1.92429971 1.92429971 0 +DEAL::0 -9.36275965 -9.36275965 7.29403562 -9.36275965 7.29403562 7.29403562 0 -9.36275965 7.29403562 7.29403562 0 7.29403562 0 0 0 0 6.53536836 6.53536836 -10.67778646 6.53536836 -10.67778646 -10.67778646 1.92429971 6.53536836 -10.67778646 -10.67778646 1.92429971 -10.67778646 1.92429971 1.92429971 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 -7.29403562 0 -7.29403562 -7.29403562 -9.36275965 0 -7.29403562 -7.29403562 -9.36275965 -7.29403562 -9.36275965 -9.36275965 0 0 1.92429971 1.92429971 10.67778646 1.92429971 10.67778646 10.67778646 6.53536836 1.92429971 10.67778646 10.67778646 6.53536836 10.67778646 6.53536836 6.53536836 0 +DEAL::0 0 0 -7.29403562 0 -7.29403562 -7.29403562 9.36275965 0 -7.29403562 -7.29403562 9.36275965 -7.29403562 9.36275965 9.36275965 0 0 1.92429971 1.92429971 -10.67778646 1.92429971 -10.67778646 -10.67778646 6.53536836 1.92429971 -10.67778646 -10.67778646 6.53536836 -10.67778646 6.53536836 6.53536836 0 +DEAL::0 0 0 -15.15875373 0 -15.15875373 -15.15875373 -1.49804154 0 -15.15875373 -15.15875373 -1.49804154 -15.15875373 -1.49804154 -1.49804154 0 0 17.81067422 17.81067422 4.34350636 17.81067422 4.34350636 4.34350636 -3.01672604 17.81067422 4.34350636 4.34350636 -3.01672604 4.34350636 -3.01672604 -3.01672604 0 +DEAL::0 0 0 3.56676558 0 3.56676558 3.56676558 -1.49804154 0 3.56676558 3.56676558 -1.49804154 3.56676558 -1.49804154 -1.49804154 0 0 2.72905492 2.72905492 -1.93044727 2.72905492 -1.93044727 -1.93044727 -3.01672604 2.72905492 -1.93044727 -1.93044727 -3.01672604 -1.93044727 -3.01672604 -3.01672604 0 +DEAL::0 -3.01672604 -3.01672604 4.34350636 -3.01672604 4.34350636 4.34350636 17.81067422 -3.01672604 4.34350636 4.34350636 17.81067422 4.34350636 17.81067422 17.81067422 0 0 -1.49804154 -1.49804154 -15.15875373 -1.49804154 -15.15875373 -15.15875373 0 -1.49804154 -15.15875373 -15.15875373 0 -15.15875373 0 0 0 +DEAL::0 -3.01672604 -3.01672604 -1.93044727 -3.01672604 -1.93044727 -1.93044727 2.72905492 -3.01672604 -1.93044727 -1.93044727 2.72905492 -1.93044727 2.72905492 2.72905492 0 0 -1.49804154 -1.49804154 3.56676558 -1.49804154 3.56676558 3.56676558 0 -1.49804154 3.56676558 3.56676558 0 3.56676558 0 0 0 +DEAL::0 6.53536836 6.53536836 10.67778646 6.53536836 10.67778646 10.67778646 1.92429971 6.53536836 10.67778646 10.67778646 1.92429971 10.67778646 1.92429971 1.92429971 0 0 -9.36275965 -9.36275965 -7.29403562 -9.36275965 -7.29403562 -7.29403562 0 -9.36275965 -7.29403562 -7.29403562 0 -7.29403562 0 0 0 +DEAL::0 6.53536836 6.53536836 -10.67778646 6.53536836 -10.67778646 -10.67778646 1.92429971 6.53536836 -10.67778646 -10.67778646 1.92429971 -10.67778646 1.92429971 1.92429971 0 0 9.36275965 9.36275965 -7.29403562 9.36275965 -7.29403562 -7.29403562 0 9.36275965 -7.29403562 -7.29403562 0 -7.29403562 0 0 0 +DEAL::0 0.22850932 0.22850932 1.99926372 0.22850932 1.99926372 1.99926372 1.71475995 0.22850932 1.99926372 1.99926372 1.71475995 1.99926372 1.71475995 1.71475995 0 0 -0.09465166 -0.09465166 1.24026037 -0.09465166 1.24026037 1.24026037 1.94473741 -0.09465166 1.24026037 1.24026037 1.94473741 1.24026037 1.94473741 1.94473741 0 +DEAL::0 9.36275965 9.36275965 11.22639467 9.36275965 11.22639467 11.22639467 0 9.36275965 11.22639467 11.22639467 0 11.22639467 0 0 0 0 6.53536836 6.53536836 18.91235060 6.53536836 18.91235060 18.91235060 8.13822850 6.53536836 18.91235060 18.91235060 8.13822850 18.91235060 8.13822850 8.13822850 0 +DEAL::0 0.22850932 0.22850932 -0.53669642 0.22850932 -0.53669642 -0.53669642 -0.16261862 0.22850932 -0.53669642 -0.53669642 -0.16261862 -0.53669642 -0.16261862 -0.16261862 0 0 -0.09465166 -0.09465166 2.29068945 -0.09465166 2.29068945 2.29068945 -2.58765540 -0.09465166 2.29068945 2.29068945 -2.58765540 2.29068945 -2.58765540 -2.58765540 0 +DEAL::0 2.11500577 2.11500577 2.03557115 2.11500577 2.03557115 2.03557115 -0.20804393 2.11500577 2.03557115 2.03557115 -0.20804393 2.03557115 -0.20804393 -0.20804393 0 0 -0.87606407 -0.87606407 3.45543329 -0.87606407 3.45543329 3.45543329 0.51097690 -0.87606407 3.45543329 3.45543329 0.51097690 3.45543329 0.51097690 0.51097690 0 +DEAL::0 0.32407346 0.32407346 -0.58683525 0.32407346 -0.58683525 -0.58683525 -0.20804393 0.32407346 -0.58683525 -0.58683525 -0.20804393 -0.58683525 -0.20804393 -0.20804393 0 0 -0.13423562 -0.13423562 -0.76835887 -0.13423562 -0.76835887 -0.76835887 0.51097690 -0.13423562 -0.76835887 -0.76835887 0.51097690 -0.76835887 0.51097690 0.51097690 0 +DEAL::0 0.22850932 0.22850932 0.53669642 0.22850932 0.53669642 0.53669642 -0.16261862 0.22850932 0.53669642 0.53669642 -0.16261862 0.53669642 -0.16261862 -0.16261862 0 0 0.09465166 0.09465166 2.29068945 0.09465166 2.29068945 2.29068945 2.58765540 0.09465166 2.29068945 2.29068945 2.58765540 2.29068945 2.58765540 2.58765540 0 +DEAL::0 0.22850932 0.22850932 -1.99926372 0.22850932 -1.99926372 -1.99926372 1.71475995 0.22850932 -1.99926372 -1.99926372 1.71475995 -1.99926372 1.71475995 1.71475995 0 0 0.09465166 0.09465166 1.24026037 0.09465166 1.24026037 1.24026037 -1.94473741 0.09465166 1.24026037 1.24026037 -1.94473741 1.24026037 -1.94473741 -1.94473741 0 +DEAL::0 0 0 -11.22639467 0 -11.22639467 -11.22639467 -9.36275965 0 -11.22639467 -11.22639467 -9.36275965 -11.22639467 -9.36275965 -9.36275965 0 0 8.13822850 8.13822850 18.91235060 8.13822850 18.91235060 18.91235060 6.53536836 8.13822850 18.91235060 18.91235060 6.53536836 18.91235060 6.53536836 6.53536836 0 +DEAL::0 2.11500577 2.11500577 -1.00399415 2.11500577 -1.00399415 -1.00399415 -0.50842450 2.11500577 -1.00399415 -1.00399415 -0.50842450 -1.00399415 -0.50842450 -0.50842450 0 0 0.87606407 0.87606407 3.88272648 0.87606407 3.88272648 3.88272648 0.21420595 0.87606407 3.88272648 3.88272648 0.21420595 3.88272648 0.21420595 0.21420595 0 +DEAL::0 0.32407346 0.32407346 0.12835658 0.32407346 0.12835658 0.12835658 -0.50842450 0.32407346 0.12835658 0.12835658 -0.50842450 0.12835658 -0.50842450 -0.50842450 0 0 0.13423562 0.13423562 -0.95826696 0.13423562 -0.95826696 -0.95826696 0.21420595 0.13423562 -0.95826696 -0.95826696 0.21420595 -0.95826696 0.21420595 0.21420595 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 9.36275965 9.36275965 1.86363502 9.36275965 1.86363502 1.86363502 0 9.36275965 1.86363502 1.86363502 0 1.86363502 0 0 0 0 6.53536836 6.53536836 -0.69375449 6.53536836 -0.69375449 -0.69375449 -0.97106956 6.53536836 -0.69375449 -0.69375449 -0.97106956 -0.69375449 -0.97106956 -0.97106956 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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32.23874600 -36.49473552 32.23874600 -36.49473552 -36.49473552 0 32.23874600 -36.49473552 -36.49473552 0 -36.49473552 0 0 0 16.44712454 -24.02472314 -24.02472314 -26.91551216 -24.02472314 -26.91551216 -26.91551216 25.43967023 -24.02472314 -26.91551216 -26.91551216 25.43967023 -26.91551216 25.43967023 25.43967023 0 +DEAL::-102.99988443 -22.84133414 -22.84133414 18.56086920 -22.84133414 18.56086920 18.56086920 18.18278778 -22.84133414 18.56086920 18.56086920 18.18278778 18.56086920 18.18278778 18.18278778 10.26885469 -11.55647854 -35.99755152 -35.99755152 10.61575407 -35.99755152 10.61575407 10.61575407 19.53455282 -35.99755152 10.61575407 10.61575407 19.53455282 10.61575407 19.53455282 19.53455282 13.71394893 +DEAL::-102.99988443 22.84133414 22.84133414 18.56086920 22.84133414 18.56086920 18.56086920 -18.18278778 22.84133414 18.56086920 18.56086920 -18.18278778 18.56086920 -18.18278778 -18.18278778 10.26885469 11.55647854 -35.99755152 -35.99755152 -10.61575407 -35.99755152 -10.61575407 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-18.18278778 -18.18278778 -10.26885469 11.55647854 35.99755152 35.99755152 -10.61575407 35.99755152 -10.61575407 -10.61575407 -19.53455282 35.99755152 -10.61575407 -10.61575407 -19.53455282 -10.61575407 -19.53455282 -19.53455282 -13.71394893 +DEAL::-0.04036712 -0.68633425 -0.68633425 -3.80538122 -0.68633425 -3.80538122 -3.80538122 1.38840109 -0.68633425 -3.80538122 -3.80538122 1.38840109 -3.80538122 1.38840109 1.38840109 -0.33291654 0.44055397 1.15590466 1.15590466 0.11271035 1.15590466 0.11271035 0.11271035 -3.84548808 1.15590466 0.11271035 0.11271035 -3.84548808 0.11271035 -3.84548808 -3.84548808 1.81382143 +DEAL::13.81534476 32.23874600 32.23874600 36.49473552 32.23874600 36.49473552 36.49473552 0 32.23874600 36.49473552 36.49473552 0 36.49473552 0 0 0 16.44712454 24.02472314 24.02472314 -26.91551216 24.02472314 -26.91551216 -26.91551216 -25.43967023 24.02472314 -26.91551216 -26.91551216 -25.43967023 -26.91551216 -25.43967023 -25.43967023 0 +DEAL::1.81382143 -3.84548808 -3.84548808 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-68.58002946 -10.37807766 -68.58002946 -68.58002946 101.39630797 61.84639105 -58.37692589 -58.37692589 23.63897134 -58.37692589 23.63897134 23.63897134 62.31700829 -58.37692589 23.63897134 23.63897134 62.31700829 23.63897134 62.31700829 62.31700829 -187.91988946 +DEAL::30.13476888 -25.28431835 -25.28431835 -3.15617498 -25.28431835 -3.15617498 -3.15617498 21.29484258 -25.28431835 -3.15617498 -3.15617498 21.29484258 -3.15617498 21.29484258 21.29484258 -27.15562208 23.89884779 24.74104204 24.74104204 -7.49885923 24.74104204 -7.49885923 -7.49885923 -20.31295269 24.74104204 -7.49885923 -7.49885923 -20.31295269 -7.49885923 -20.31295269 -20.31295269 38.80666501 +DEAL::-12.16886725 7.66491188 7.66491188 3.49842722 7.66491188 3.49842722 3.49842722 -4.55174241 7.66491188 3.49842722 3.49842722 -4.55174241 3.49842722 -4.55174241 -4.55174241 -7.03269120 9.13876061 -14.73201081 -14.73201081 11.20188363 -14.73201081 11.20188363 11.20188363 18.32193478 -14.73201081 11.20188363 11.20188363 18.32193478 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-0.01391837 0.44040642 -0.01226796 0.76623426 0.05864280 -0.12782348 -0.01391837 0.44040642 DEAL::0.81350031 0.01391837 -0.44040642 0.01226796 0.76623426 0.05864280 0.12782348 -0.01391837 0.44040642 DEAL::0.84873518 0.00765757 -0.02313163 0.00771271 0.91107165 0.48026545 0.00771271 -0.20424138 0.48026545 @@ -229,7 +429,7 @@ DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 DEAL::0.21132487 0 0 0 0.21132487 0 0 0 0.21132487 DEAL::0.42264973 -0.20345256 0 0 -0.23812112 0.42264973 0 -0.49017924 0 DEAL:: -DEAL::3d inverse Jacobians: +DEAL::3D inverse Jacobians: DEAL::1.06233372 0 -1.06233372 -0.00657316 1.30193488 -0.16678741 0.30812381 0.04114567 1.95702733 DEAL::1.06233372 0 1.06233372 0.00657316 1.30193488 -0.16678741 -0.30812381 0.04114567 1.95702733 DEAL::1.17770835 0.00230150 0.05442195 0 0.89660927 -0.89660927 -0.01891314 0.38126200 1.70000893 @@ -339,7 +539,7 @@ DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::4.73205081 0 0 0 4.73205081 0 0 0 4.73205081 DEAL::2.36602540 0 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-4.76695163 0 0 -0.83622404 0 0 -1.12747152 -0.83622404 -1.12747152 -0.72302966 +DEAL:: +DEAL::3D Jacobian hessians: +DEAL::0.05286297 -0.01326813 0.06000504 -0.01326813 -0.37560130 -0.10560461 0.06000504 -0.10560461 -0.45438725 -0.01326813 -0.37560130 -0.10560461 -0.37560130 0 -0.61068157 -0.10560461 -0.61068157 -0.18628475 0.06000504 -0.10560461 -0.45438725 -0.10560461 -0.61068157 -0.18628475 -0.45438725 -0.18628475 1.01464894 0 -0.30886696 -0.08592353 -0.30886696 -0.04065069 -0.54089252 -0.08592353 -0.54089252 -0.43323015 -0.30886696 -0.04065069 -0.54089252 -0.04065069 0.01246152 -0.00193935 -0.54089252 -0.00193935 0.23904675 -0.08592353 -0.54089252 -0.43323015 -0.54089252 -0.00193935 0.23904675 -0.43323015 0.23904675 0.12435842 0 0.05364024 -0.99970397 0.05364024 0.33525153 0.12775777 -0.99970397 0.12775777 -2.83097623 0.05364024 0.33525153 0.12775777 0.33525153 0 -0.61068157 0.12775777 -0.61068157 -0.18628475 -0.99970397 0.12775777 -2.83097623 0.12775777 -0.61068157 -0.18628475 -2.83097623 -0.18628475 1.01464894 +DEAL::0.05286297 0.01326813 -0.06000504 0.01326813 -0.37560130 -0.10560461 -0.06000504 -0.10560461 -0.45438725 0.01326813 -0.37560130 -0.10560461 -0.37560130 0 0.61068157 -0.10560461 0.61068157 0.18628475 -0.06000504 -0.10560461 -0.45438725 -0.10560461 0.61068157 0.18628475 -0.45438725 0.18628475 -1.01464894 0 -0.30886696 -0.08592353 -0.30886696 0.04065069 0.54089252 -0.08592353 0.54089252 0.43323015 -0.30886696 0.04065069 0.54089252 0.04065069 0.01246152 -0.00193935 0.54089252 -0.00193935 0.23904675 -0.08592353 0.54089252 0.43323015 0.54089252 -0.00193935 0.23904675 0.43323015 0.23904675 0.12435842 0 0.05364024 -0.99970397 0.05364024 -0.33525153 -0.12775777 -0.99970397 -0.12775777 2.83097623 0.05364024 -0.33525153 -0.12775777 -0.33525153 0 -0.61068157 -0.12775777 -0.61068157 -0.18628475 -0.99970397 -0.12775777 2.83097623 -0.12775777 -0.61068157 -0.18628475 2.83097623 -0.18628475 1.01464894 +DEAL::-0.03629561 0.00132826 0.02818395 0.00132826 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-0.51053108 0 0.06284310 1.04644444 0.06284310 -0.15084703 0.02818395 1.04644444 0.42972632 1.04644444 0.06284310 -0.15084703 0.42972632 -0.15084703 -0.04768732 0 -0.53678911 0.91722233 -0.53678911 -0.00406949 0.00700558 0.91722233 0.00700558 -0.09734727 -0.53678911 -0.00406949 0.00700558 -0.00406949 -0.00250528 1.66610391 0.00700558 1.66610391 -2.79239220 0.91722233 0.00700558 -0.09734727 0.00700558 1.66610391 -2.79239220 -0.09734727 -2.79239220 -1.03755768 0 -0.60775729 -0.91722233 -0.60775729 -0.03646544 0.10456253 -0.91722233 0.10456253 0.09734727 -0.60775729 -0.03646544 0.10456253 -0.03646544 0 -1.78543991 0.10456253 -1.78543991 4.19459856 -0.91722233 0.10456253 0.09734727 0.10456253 -1.78543991 4.19459856 0.09734727 4.19459856 1.03755768 +DEAL::-3.59114660 -0.03406677 -1.40745858 -0.03406677 -2.60879292 0.26333162 -1.40745858 0.26333162 3.77470135 -0.03406677 -2.60879292 0.26333162 -2.60879292 0 -0.71441009 0.26333162 -0.71441009 0.05423752 -1.40745858 0.26333162 3.77470135 0.26333162 -0.71441009 0.05423752 3.77470135 0.05423752 0.42378251 0 -3.85524413 0.45350110 -3.85524413 -0.10437326 -1.20408323 0.45350110 -1.20408323 0.10088058 -3.85524413 -0.10437326 -1.20408323 -0.10437326 -7.12016629 1.06063777 -1.20408323 1.06063777 6.18708990 0.45350110 -1.20408323 0.10088058 -1.20408323 1.06063777 6.18708990 0.10088058 6.18708990 -0.26184919 0 -0.28051450 -7.43531115 -0.28051450 0.74803867 -0.08517989 -7.43531115 -0.08517989 -1.48119613 -0.28051450 0.74803867 -0.08517989 0.74803867 0 -7.33770920 -0.08517989 -7.33770920 0.54765145 -7.43531115 -0.08517989 -1.48119613 -0.08517989 -7.33770920 0.54765145 -1.48119613 0.54765145 3.97402650 +DEAL::0 0 -0.22530746 0 0 0.03993109 -0.22530746 0.03993109 -1.35327079 0 0 0.03993109 0 0 -0.10851637 0.03993109 -0.10851637 -0.01788390 -0.22530746 0.03993109 -1.35327079 0.03993109 -0.10851637 -0.01788390 -1.35327079 -0.01788390 0.42378251 0 0 0.07164762 0 0 -0.19018420 0.07164762 -0.19018420 -0.03978403 0 0 -0.19018420 0 0 0.17335765 -0.19018420 0.17335765 -2.49280929 0.07164762 -0.19018420 -0.03978403 -0.19018420 0.17335765 -2.49280929 -0.03978403 -2.49280929 -0.26184919 0 0 -0.97482918 0 0 -0.01037602 -0.97482918 -0.01037602 0.44751902 0 0 -0.01037602 0 0 -0.96293999 -0.01037602 -0.96293999 -0.16516530 -0.97482918 -0.01037602 0.44751902 -0.01037602 -0.96293999 -0.16516530 0.44751902 -0.16516530 3.97402650 +DEAL::0 1.78543991 0.03646544 1.78543991 4.19459856 0.10456253 0.03646544 0.10456253 -0.60775729 1.78543991 4.19459856 0.10456253 4.19459856 -1.03755768 -0.09734727 0.10456253 -0.09734727 0.91722233 0.03646544 0.10456253 -0.60775729 0.10456253 -0.09734727 0.91722233 -0.60775729 0.91722233 0 -0.00250528 -1.66610391 0.00406949 -1.66610391 -2.79239220 0.00700558 0.00406949 0.00700558 -0.53678911 -1.66610391 -2.79239220 0.00700558 -2.79239220 1.03755768 0.09734727 0.00700558 0.09734727 -0.91722233 0.00406949 0.00700558 -0.53678911 0.00700558 0.09734727 -0.91722233 -0.53678911 -0.91722233 0 0 0.06284310 -0.51053108 0.06284310 0.15084703 -1.04644444 -0.51053108 -1.04644444 0.00132826 0.06284310 0.15084703 -1.04644444 0.15084703 -0.04768732 0.42972632 -1.04644444 0.42972632 0.02818395 -0.51053108 -1.04644444 0.00132826 -1.04644444 0.42972632 0.02818395 0.00132826 0.02818395 -0.03629561 +DEAL::0 1.78543991 0.03646544 1.78543991 -4.19459856 -0.10456253 0.03646544 -0.10456253 0.60775729 1.78543991 -4.19459856 -0.10456253 -4.19459856 -1.03755768 -0.09734727 -0.10456253 -0.09734727 0.91722233 0.03646544 -0.10456253 0.60775729 -0.10456253 -0.09734727 0.91722233 0.60775729 0.91722233 0 -0.00250528 1.66610391 -0.00406949 1.66610391 -2.79239220 0.00700558 -0.00406949 0.00700558 -0.53678911 1.66610391 -2.79239220 0.00700558 -2.79239220 -1.03755768 -0.09734727 0.00700558 -0.09734727 0.91722233 -0.00406949 0.00700558 -0.53678911 0.00700558 -0.09734727 0.91722233 -0.53678911 0.91722233 0 0 0.06284310 -0.51053108 0.06284310 -0.15084703 1.04644444 -0.51053108 1.04644444 -0.00132826 0.06284310 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0.99970397 -0.33525153 -0.12775777 -0.05364024 -0.12775777 2.83097623 0.99970397 -0.05364024 0.99970397 0 0.01246152 -0.00193935 -0.04065069 -0.00193935 0.23904675 -0.54089252 -0.04065069 -0.54089252 -0.30886696 -0.00193935 0.23904675 -0.54089252 0.23904675 0.12435842 -0.43323015 -0.54089252 -0.43323015 -0.08592353 -0.04065069 -0.54089252 -0.30886696 -0.54089252 -0.43323015 -0.08592353 -0.30886696 -0.08592353 0 0 -0.61068157 -0.37560130 -0.61068157 -0.18628475 -0.10560461 -0.37560130 -0.10560461 -0.01326813 -0.61068157 -0.18628475 -0.10560461 -0.18628475 1.01464894 -0.45438725 -0.10560461 -0.45438725 0.06000504 -0.37560130 -0.10560461 -0.01326813 -0.10560461 -0.45438725 0.06000504 -0.01326813 0.06000504 0.05286297 +DEAL::0 0.61068157 0.33525153 0.61068157 0.18628475 0.12775777 0.33525153 0.12775777 -0.05364024 0.61068157 0.18628475 0.12775777 0.18628475 -1.01464894 -2.83097623 0.12775777 -2.83097623 0.99970397 0.33525153 0.12775777 -0.05364024 0.12775777 -2.83097623 0.99970397 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-0.51053108 -1.04644444 0.00132826 0.06284310 0.15084703 -1.04644444 0.15084703 -0.04768732 0.42972632 -1.04644444 0.42972632 0.02818395 -0.51053108 -1.04644444 0.00132826 -1.04644444 0.42972632 0.02818395 0.00132826 0.02818395 -0.03629561 0 1.78543991 0.03646544 1.78543991 4.19459856 0.10456253 0.03646544 0.10456253 -0.60775729 1.78543991 4.19459856 0.10456253 4.19459856 -1.03755768 -0.09734727 0.10456253 -0.09734727 0.91722233 0.03646544 0.10456253 -0.60775729 0.10456253 -0.09734727 0.91722233 -0.60775729 0.91722233 0 +DEAL::0.13624288 -0.20885757 0.04065069 -0.20885757 -1.49403720 -0.12189936 0.04065069 -0.12189936 -0.43264831 -0.20885757 -1.49403720 -0.12189936 -1.49403720 -1.01464894 0.18628475 -0.12189936 0.18628475 0.61068157 0.04065069 -0.12189936 -0.43264831 -0.12189936 0.18628475 0.61068157 -0.43264831 0.61068157 0 0 -0.09386233 -0.33519986 -0.09386233 0.26688615 0.58790287 -0.33519986 0.58790287 0.01326813 -0.09386233 0.26688615 0.58790287 0.26688615 0.12435842 0.23904675 0.58790287 0.23904675 -0.00193935 -0.33519986 0.58790287 0.01326813 0.58790287 0.23904675 -0.00193935 0.01326813 -0.00193935 0.01246152 0 0.99970397 -0.05364024 0.99970397 -2.83097623 0.12775777 -0.05364024 0.12775777 0.33525153 0.99970397 -2.83097623 0.12775777 -2.83097623 -1.01464894 0.18628475 0.12775777 0.18628475 0.61068157 -0.05364024 0.12775777 0.33525153 0.12775777 0.18628475 0.61068157 0.33525153 0.61068157 0 +DEAL::-7.12016629 1.06063777 -0.10437326 1.06063777 6.18708990 -1.20408323 -0.10437326 -1.20408323 -3.85524413 1.06063777 6.18708990 -1.20408323 6.18708990 -0.26184919 0.10088058 -1.20408323 0.10088058 0.45350110 -0.10437326 -1.20408323 -3.85524413 -1.20408323 0.10088058 0.45350110 -3.85524413 0.45350110 0 0 -0.71441009 -2.60879292 -0.71441009 0.05423752 0.26333162 -2.60879292 0.26333162 -0.03406677 -0.71441009 0.05423752 0.26333162 0.05423752 0.42378251 3.77470135 0.26333162 3.77470135 -1.40745858 -2.60879292 0.26333162 -0.03406677 0.26333162 3.77470135 -1.40745858 -0.03406677 -1.40745858 -3.59114660 0 7.33770920 -0.74803867 7.33770920 -0.54765145 0.08517989 -0.74803867 0.08517989 0.28051450 7.33770920 -0.54765145 0.08517989 -0.54765145 -3.97402650 1.48119613 0.08517989 1.48119613 7.43531115 -0.74803867 0.08517989 0.28051450 0.08517989 1.48119613 7.43531115 0.28051450 7.43531115 0 +DEAL::0 -0.47031803 0 -0.47031803 -2.39515536 0.06830747 0 0.06830747 0 -0.47031803 -2.39515536 0.06830747 -2.39515536 0.69912214 -0.03907378 0.06830747 -0.03907378 -0.18838332 0 0.06830747 0 0.06830747 -0.03907378 -0.18838332 0 -0.18838332 0 0 0.04102129 0 0.04102129 -0.01811572 -0.10910416 0 -0.10910416 0 0.04102129 -0.01811572 -0.10910416 -0.01811572 -0.15859683 -1.40108876 -0.10910416 -1.40108876 0.08350733 0 -0.10910416 0 -0.10910416 -1.40108876 0.08350733 0 0.08350733 0 0 0.97482918 0 0.97482918 -0.44751902 0.01037602 0 0.01037602 0 0.97482918 -0.44751902 0.01037602 -0.44751902 -3.97402650 0.16516530 0.01037602 0.16516530 0.96293999 0 0.01037602 0 0.01037602 0.16516530 0.96293999 0 0.96293999 0 +DEAL::0.01246152 -0.00193935 -0.04065069 -0.00193935 0.23904675 -0.54089252 -0.04065069 -0.54089252 -0.30886696 -0.00193935 0.23904675 -0.54089252 0.23904675 0.12435842 -0.43323015 -0.54089252 -0.43323015 -0.08592353 -0.04065069 -0.54089252 -0.30886696 -0.54089252 -0.43323015 -0.08592353 -0.30886696 -0.08592353 0 0 -0.61068157 -0.37560130 -0.61068157 -0.18628475 -0.10560461 -0.37560130 -0.10560461 -0.01326813 -0.61068157 -0.18628475 -0.10560461 -0.18628475 1.01464894 -0.45438725 -0.10560461 -0.45438725 0.06000504 -0.37560130 -0.10560461 -0.01326813 -0.10560461 -0.45438725 0.06000504 -0.01326813 0.06000504 0.05286297 0 0.61068157 -0.33525153 0.61068157 0.18628475 -0.12775777 -0.33525153 -0.12775777 -0.05364024 0.61068157 0.18628475 -0.12775777 0.18628475 -1.01464894 2.83097623 -0.12775777 2.83097623 0.99970397 -0.33525153 -0.12775777 -0.05364024 -0.12775777 2.83097623 0.99970397 -0.05364024 0.99970397 0 +DEAL::0.01246152 -0.00193935 0.04065069 -0.00193935 0.23904675 0.54089252 0.04065069 0.54089252 -0.30886696 -0.00193935 0.23904675 0.54089252 0.23904675 0.12435842 0.43323015 0.54089252 0.43323015 -0.08592353 0.04065069 0.54089252 -0.30886696 0.54089252 0.43323015 -0.08592353 -0.30886696 -0.08592353 0 0 0.61068157 -0.37560130 0.61068157 0.18628475 -0.10560461 -0.37560130 -0.10560461 0.01326813 0.61068157 0.18628475 -0.10560461 0.18628475 -1.01464894 -0.45438725 -0.10560461 -0.45438725 -0.06000504 -0.37560130 -0.10560461 0.01326813 -0.10560461 -0.45438725 -0.06000504 0.01326813 -0.06000504 0.05286297 0 0.61068157 0.33525153 0.61068157 0.18628475 0.12775777 0.33525153 0.12775777 -0.05364024 0.61068157 0.18628475 0.12775777 0.18628475 -1.01464894 -2.83097623 0.12775777 -2.83097623 0.99970397 0.33525153 0.12775777 -0.05364024 0.12775777 -2.83097623 0.99970397 -0.05364024 0.99970397 0 +DEAL::3.97402650 -1.48119613 0.54765145 -1.48119613 -7.43531115 -0.08517989 0.54765145 -0.08517989 -7.33770920 -1.48119613 -7.43531115 -0.08517989 -7.43531115 0 -0.28051450 -0.08517989 -0.28051450 0.74803867 0.54765145 -0.08517989 -7.33770920 -0.08517989 -0.28051450 0.74803867 -7.33770920 0.74803867 0 0.42378251 3.77470135 0.05423752 3.77470135 -1.40745858 0.26333162 0.05423752 0.26333162 -0.71441009 3.77470135 -1.40745858 0.26333162 -1.40745858 -3.59114660 -0.03406677 0.26333162 -0.03406677 -2.60879292 0.05423752 0.26333162 -0.71441009 0.26333162 -0.03406677 -2.60879292 -0.71441009 -2.60879292 0 -0.26184919 0.10088058 6.18708990 0.10088058 0.45350110 -1.20408323 6.18708990 -1.20408323 1.06063777 0.10088058 0.45350110 -1.20408323 0.45350110 0 -3.85524413 -1.20408323 -3.85524413 -0.10437326 6.18708990 -1.20408323 1.06063777 -1.20408323 -3.85524413 -0.10437326 1.06063777 -0.10437326 -7.12016629 +DEAL::3.97402650 0.44751902 -0.16516530 0.44751902 -0.97482918 -0.01037602 -0.16516530 -0.01037602 -0.96293999 0.44751902 -0.97482918 -0.01037602 -0.97482918 0 0 -0.01037602 0 0 -0.16516530 -0.01037602 -0.96293999 -0.01037602 0 0 -0.96293999 0 0 0.42378251 -1.35327079 -0.01788390 -1.35327079 -0.22530746 0.03993109 -0.01788390 0.03993109 -0.10851637 -1.35327079 -0.22530746 0.03993109 -0.22530746 0 0 0.03993109 0 0 -0.01788390 0.03993109 -0.10851637 0.03993109 0 0 -0.10851637 0 0 -0.26184919 -0.03978403 -2.49280929 -0.03978403 0.07164762 -0.19018420 -2.49280929 -0.19018420 0.17335765 -0.03978403 0.07164762 -0.19018420 0.07164762 0 0 -0.19018420 0 0 -2.49280929 -0.19018420 0.17335765 -0.19018420 0 0 0.17335765 0 0 +DEAL::1.01464894 -2.83097623 -0.18628475 -2.83097623 -0.99970397 0.12775777 -0.18628475 0.12775777 -0.61068157 -2.83097623 -0.99970397 0.12775777 -0.99970397 0 0.05364024 0.12775777 0.05364024 0.33525153 -0.18628475 0.12775777 -0.61068157 0.12775777 0.05364024 0.33525153 -0.61068157 0.33525153 0 1.01464894 -0.45438725 -0.18628475 -0.45438725 0.06000504 -0.10560461 -0.18628475 -0.10560461 -0.61068157 -0.45438725 0.06000504 -0.10560461 0.06000504 0.05286297 -0.01326813 -0.10560461 -0.01326813 -0.37560130 -0.18628475 -0.10560461 -0.61068157 -0.10560461 -0.01326813 -0.37560130 -0.61068157 -0.37560130 0 0.12435842 -0.43323015 0.23904675 -0.43323015 -0.08592353 -0.54089252 0.23904675 -0.54089252 -0.00193935 -0.43323015 -0.08592353 -0.54089252 -0.08592353 0 -0.30886696 -0.54089252 -0.30886696 -0.04065069 0.23904675 -0.54089252 -0.00193935 -0.54089252 -0.30886696 -0.04065069 -0.00193935 -0.04065069 0.01246152 +DEAL::1.01464894 2.83097623 -0.18628475 2.83097623 -0.99970397 -0.12775777 -0.18628475 -0.12775777 -0.61068157 2.83097623 -0.99970397 -0.12775777 -0.99970397 0 0.05364024 -0.12775777 0.05364024 -0.33525153 -0.18628475 -0.12775777 -0.61068157 -0.12775777 0.05364024 -0.33525153 -0.61068157 -0.33525153 0 -1.01464894 -0.45438725 0.18628475 -0.45438725 -0.06000504 -0.10560461 0.18628475 -0.10560461 0.61068157 -0.45438725 -0.06000504 -0.10560461 -0.06000504 0.05286297 0.01326813 -0.10560461 0.01326813 -0.37560130 0.18628475 -0.10560461 0.61068157 -0.10560461 0.01326813 -0.37560130 0.61068157 -0.37560130 0 0.12435842 0.43323015 0.23904675 0.43323015 -0.08592353 0.54089252 0.23904675 0.54089252 -0.00193935 0.43323015 -0.08592353 0.54089252 -0.08592353 0 -0.30886696 0.54089252 -0.30886696 0.04065069 0.23904675 0.54089252 -0.00193935 0.54089252 -0.30886696 0.04065069 -0.00193935 0.04065069 0.01246152 +DEAL::1.01464894 -0.18628475 -2.83097623 -0.18628475 -0.61068157 0.12775777 -2.83097623 0.12775777 -0.99970397 -0.18628475 -0.61068157 0.12775777 -0.61068157 0 0.33525153 0.12775777 0.33525153 0.05364024 -2.83097623 0.12775777 -0.99970397 0.12775777 0.33525153 0.05364024 -0.99970397 0.05364024 0 0.12435842 0.23904675 -0.26688615 0.23904675 -0.00193935 -0.58790287 -0.26688615 -0.58790287 -0.09386233 0.23904675 -0.00193935 -0.58790287 -0.00193935 0.01246152 -0.01326813 -0.58790287 -0.01326813 -0.33519986 -0.26688615 -0.58790287 -0.09386233 -0.58790287 -0.01326813 -0.33519986 -0.09386233 -0.33519986 0 1.01464894 -0.18628475 -1.49403720 -0.18628475 -0.61068157 -0.12189936 -1.49403720 -0.12189936 0.20885757 -0.18628475 -0.61068157 -0.12189936 -0.61068157 0 -0.43264831 -0.12189936 -0.43264831 -0.04065069 -1.49403720 -0.12189936 0.20885757 -0.12189936 -0.43264831 -0.04065069 0.20885757 -0.04065069 0.13624288 +DEAL::1.03755768 0.09734727 4.19459856 0.09734727 -0.91722233 0.10456253 4.19459856 0.10456253 -1.78543991 0.09734727 -0.91722233 0.10456253 -0.91722233 0 -0.60775729 0.10456253 -0.60775729 -0.03646544 4.19459856 0.10456253 -1.78543991 0.10456253 -0.60775729 -0.03646544 -1.78543991 -0.03646544 0 -0.04768732 0.42972632 -0.15084703 0.42972632 0.02818395 1.04644444 -0.15084703 1.04644444 0.06284310 0.42972632 0.02818395 1.04644444 0.02818395 -0.03629561 -0.00132826 1.04644444 -0.00132826 -0.51053108 -0.15084703 1.04644444 0.06284310 1.04644444 -0.00132826 -0.51053108 0.06284310 -0.51053108 0 -1.03755768 -0.09734727 -2.79239220 -0.09734727 0.91722233 0.00700558 -2.79239220 0.00700558 1.66610391 -0.09734727 0.91722233 0.00700558 0.91722233 0 -0.53678911 0.00700558 -0.53678911 -0.00406949 -2.79239220 0.00700558 1.66610391 0.00700558 -0.53678911 -0.00406949 1.66610391 -0.00406949 -0.00250528 +DEAL::0.13624288 0.20885757 -0.04065069 0.20885757 -1.49403720 -0.12189936 -0.04065069 -0.12189936 -0.43264831 0.20885757 -1.49403720 -0.12189936 -1.49403720 1.01464894 -0.18628475 -0.12189936 -0.18628475 -0.61068157 -0.04065069 -0.12189936 -0.43264831 -0.12189936 -0.18628475 -0.61068157 -0.43264831 -0.61068157 0 0 -0.99970397 0.05364024 -0.99970397 -2.83097623 0.12775777 0.05364024 0.12775777 0.33525153 -0.99970397 -2.83097623 0.12775777 -2.83097623 1.01464894 -0.18628475 0.12775777 -0.18628475 -0.61068157 0.05364024 0.12775777 0.33525153 0.12775777 -0.18628475 -0.61068157 0.33525153 -0.61068157 0 0 -0.09386233 -0.33519986 -0.09386233 -0.26688615 -0.58790287 -0.33519986 -0.58790287 -0.01326813 -0.09386233 -0.26688615 -0.58790287 -0.26688615 0.12435842 0.23904675 -0.58790287 0.23904675 -0.00193935 -0.33519986 -0.58790287 -0.01326813 -0.58790287 0.23904675 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0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::-1.02812960 -0.47502604 0.35230485 -0.47502604 0.67813068 0.19966915 0.35230485 0.19966915 0.32587341 -0.47502604 0.67813068 0.19966915 0.67813068 0 0 0.19966915 0 0 0.35230485 0.19966915 0.32587341 0.19966915 0 0 0.32587341 0 0 -2.77874643 1.29824445 0.94054099 1.29824445 0.88144500 -0.24059397 0.94054099 -0.24059397 0.82497135 1.29824445 0.88144500 -0.24059397 0.88144500 0 0 -0.24059397 0 0 0.94054099 -0.24059397 0.82497135 -0.24059397 0 0 0.82497135 0 0 -1.24494304 0.79313724 -1.08561768 0.79313724 0.44633870 0.42103414 -1.08561768 0.42103414 0.96886492 0.79313724 0.44633870 0.42103414 0.44633870 0 0 0.42103414 0 0 -1.08561768 0.42103414 0.96886492 0.42103414 0 0 0.96886492 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 +DEAL::0 0.96886492 0 0.96886492 -1.08561768 0.42103414 0 0.42103414 0 0.96886492 -1.08561768 0.42103414 -1.08561768 -1.24494304 0.79313724 0.42103414 0.79313724 0.44633870 0 0.42103414 0 0.42103414 0.79313724 0.44633870 0 0.44633870 0 0 0.32587341 0 0.32587341 0.35230485 0.19966915 0 0.19966915 0 0.32587341 0.35230485 0.19966915 0.35230485 -1.02812960 -0.47502604 0.19966915 -0.47502604 0.67813068 0 0.19966915 0 0.19966915 -0.47502604 0.67813068 0 0.67813068 0 0 0.82497135 0 0.82497135 0.94054099 -0.24059397 0 -0.24059397 0 0.82497135 0.94054099 -0.24059397 0.94054099 -2.77874643 1.29824445 -0.24059397 1.29824445 0.88144500 0 -0.24059397 0 -0.24059397 1.29824445 0.88144500 0 0.88144500 0 +DEAL:: +DEAL::3D Jacobian pushed forward hessians: +DEAL::0.02010178 -0.12787935 -0.30101791 -0.12787935 -1.01331430 -0.24243264 -0.30101791 -0.24243264 -0.17202528 -0.12787935 -1.01331430 -0.24243264 -1.01331430 -0.12893401 -1.36132328 -0.24243264 -1.36132328 0.21224074 -0.30101791 -0.24243264 -0.17202528 -0.24243264 -1.36132328 0.21224074 -0.17202528 0.21224074 13.56394801 -0.20367908 -0.89944055 -0.49896744 -0.89944055 -0.12873771 -0.60386619 -0.49896744 -0.60386619 -0.57915969 -0.89944055 -0.12873771 -0.60386619 -0.12873771 0.02868395 0.17608522 -0.60386619 0.17608522 3.72502890 -0.49896744 -0.60386619 -0.57915969 -0.60386619 0.17608522 3.72502890 -0.57915969 3.72502890 4.24503419 -1.87226591 0.04304625 -4.68712270 0.04304625 0.28899901 -0.08977536 -4.68712270 -0.08977536 -2.63361871 0.04304625 0.28899901 -0.08977536 0.28899901 -0.12893401 -2.66363659 -0.08977536 -2.66363659 -0.26399942 -4.68712270 -0.08977536 -2.63361871 -0.08977536 -2.66363659 -0.26399942 -2.63361871 -0.26399942 35.99941036 +DEAL::0.02010178 0.12787935 0.30101791 0.12787935 -1.01331430 -0.24243264 0.30101791 -0.24243264 -0.17202528 0.12787935 -1.01331430 -0.24243264 -1.01331430 0.12893401 1.36132328 -0.24243264 1.36132328 -0.21224074 0.30101791 -0.24243264 -0.17202528 -0.24243264 1.36132328 -0.21224074 -0.17202528 -0.21224074 -13.56394801 0.20367908 -0.89944055 -0.49896744 -0.89944055 0.12873771 0.60386619 -0.49896744 0.60386619 0.57915969 -0.89944055 0.12873771 0.60386619 0.12873771 0.02868395 0.17608522 0.60386619 0.17608522 3.72502890 -0.49896744 0.60386619 0.57915969 0.60386619 0.17608522 3.72502890 0.57915969 3.72502890 4.24503419 1.87226591 0.04304625 -4.68712270 0.04304625 -0.28899901 0.08977536 -4.68712270 0.08977536 2.63361871 0.04304625 -0.28899901 0.08977536 -0.28899901 -0.12893401 -2.66363659 0.08977536 -2.66363659 -0.26399942 -4.68712270 0.08977536 2.63361871 0.08977536 -2.66363659 -0.26399942 2.63361871 -0.26399942 35.99941036 +DEAL::-0.06096266 0.05097804 -0.01241553 0.05097804 -1.25501138 -0.64604247 -0.01241553 -0.64604247 4.74901626 0.05097804 -1.25501138 -0.64604247 -1.25501138 0.10677977 0.13084987 -0.64604247 0.13084987 -0.03988304 -0.01241553 -0.64604247 4.74901626 -0.64604247 0.13084987 -0.03988304 4.74901626 -0.03988304 -0.49227980 0.07229901 -1.15517670 -1.49851765 -1.15517670 0.08023739 0.04837335 -1.49851765 0.04837335 -0.02080683 -1.15517670 0.08023739 0.04837335 0.08023739 -2.56795656 -3.87773560 0.04837335 -3.87773560 1.19982476 -1.49851765 0.04837335 -0.02080683 0.04837335 -3.87773560 1.19982476 -0.02080683 1.19982476 20.00903528 0.07229901 0.27218128 -2.92587563 0.27218128 -0.02245490 0.02402255 -2.92587563 0.02402255 0.13058707 0.27218128 -0.02245490 0.02402255 -0.02245490 -3.22487151 -5.42260314 0.02402255 -5.42260314 -0.51977673 -2.92587563 0.02402255 0.13058707 0.02402255 -5.42260314 -0.51977673 0.13058707 -0.51977673 30.45935732 +DEAL::-0.06096266 -0.05097804 -0.01241553 -0.05097804 -1.25501138 0.64604247 -0.01241553 0.64604247 4.74901626 -0.05097804 -1.25501138 0.64604247 -1.25501138 -0.10677977 0.13084987 0.64604247 0.13084987 0.03988304 -0.01241553 0.64604247 4.74901626 0.64604247 0.13084987 0.03988304 4.74901626 0.03988304 -0.49227980 -0.07229901 -1.15517670 1.49851765 -1.15517670 -0.08023739 0.04837335 1.49851765 0.04837335 0.02080683 -1.15517670 -0.08023739 0.04837335 -0.08023739 -2.56795656 3.87773560 0.04837335 3.87773560 1.19982476 1.49851765 0.04837335 0.02080683 0.04837335 3.87773560 1.19982476 0.02080683 1.19982476 -20.00903528 0.07229901 -0.27218128 -2.92587563 -0.27218128 -0.02245490 -0.02402255 -2.92587563 -0.02402255 0.13058707 -0.27218128 -0.02245490 -0.02402255 -0.02245490 3.22487151 -5.42260314 -0.02402255 -5.42260314 0.51977673 -2.92587563 -0.02402255 0.13058707 -0.02402255 -5.42260314 0.51977673 0.13058707 0.51977673 30.45935732 +DEAL::-1.01380732 0.01061520 -0.03866510 0.01061520 -0.59366570 -0.00607427 -0.03866510 -0.00607427 0.91860843 0.01061520 -0.59366570 -0.00607427 -0.59366570 0.01655902 -0.08606598 -0.00607427 -0.08606598 -0.00640512 -0.03866510 -0.00607427 0.91860843 -0.00607427 -0.08606598 -0.00640512 0.91860843 -0.00640512 -0.19665560 0.03821892 -0.96916347 0.06059618 -0.96916347 0.01061006 -0.02029938 0.06059618 -0.02029938 -0.00939163 -0.96916347 0.01061006 -0.02029938 0.01061006 -1.46145071 0.04023927 -0.02029938 0.04023927 1.36538311 0.06059618 -0.02029938 -0.00939163 -0.02029938 0.04023927 1.36538311 -0.00939163 1.36538311 0.15816332 -0.62837285 0.00267250 -1.83443333 0.00267250 -0.00748656 0.00194021 -1.83443333 0.00194021 0.15050595 0.00267250 -0.00748656 0.00194021 -0.00748656 0.17666880 -1.53373938 0.00194021 -1.53373938 -0.08052272 -1.83443333 0.00194021 0.15050595 0.00194021 -1.53373938 -0.08052272 0.15050595 -0.08052272 0.90486988 +DEAL::0 0 -2.33958440 0 0 0.41464298 -2.33958440 0.41464298 -10.30379873 0 0 0.41464298 0 0 -1.12682998 0.41464298 -1.12682998 -0.39834805 -2.33958440 0.41464298 -10.30379873 0.41464298 -1.12682998 -0.39834805 -10.30379873 -0.39834805 7.18833409 0 0 0.74398621 0 0 -1.97486579 0.74398621 -1.97486579 -0.77175608 0 0 -1.97486579 0 0 1.80013948 -1.97486579 1.80013948 -19.51769184 0.74398621 -1.97486579 -0.77175608 -1.97486579 1.80013948 -19.51769184 -0.77175608 -19.51769184 -5.02139868 0 0 -10.12259044 0 0 -0.10774421 -10.12259044 -0.10774421 6.49957255 0 0 -0.10774421 0 0 -9.99913353 -0.10774421 -9.99913353 -2.51397962 -10.12259044 -0.10774421 6.49957255 -0.10774421 -9.99913353 -2.51397962 6.49957255 -2.51397962 22.85961809 +DEAL::30.45935732 0.51977673 -0.13058707 0.51977673 -5.42260314 0.02402255 -0.13058707 0.02402255 -2.92587563 0.51977673 -5.42260314 0.02402255 -5.42260314 3.22487151 0.02245490 0.02402255 0.02245490 -0.27218128 -0.13058707 0.02402255 -2.92587563 0.02402255 0.02245490 -0.27218128 -2.92587563 -0.27218128 -0.07229901 -20.00903528 1.19982476 -0.02080683 1.19982476 3.87773560 -0.04837335 -0.02080683 -0.04837335 1.49851765 1.19982476 3.87773560 -0.04837335 3.87773560 -2.56795656 0.08023739 -0.04837335 0.08023739 -1.15517670 -0.02080683 -0.04837335 1.49851765 -0.04837335 0.08023739 -1.15517670 1.49851765 -1.15517670 0.07229901 0.49227980 -0.03988304 4.74901626 -0.03988304 -0.13084987 0.64604247 4.74901626 0.64604247 0.01241553 -0.03988304 -0.13084987 0.64604247 -0.13084987 0.10677977 -1.25501138 0.64604247 -1.25501138 0.05097804 4.74901626 0.64604247 0.01241553 0.64604247 -1.25501138 0.05097804 0.01241553 0.05097804 -0.06096266 +DEAL::30.45935732 -0.51977673 -0.13058707 -0.51977673 -5.42260314 -0.02402255 -0.13058707 -0.02402255 -2.92587563 -0.51977673 -5.42260314 -0.02402255 -5.42260314 -3.22487151 0.02245490 -0.02402255 0.02245490 0.27218128 -0.13058707 -0.02402255 -2.92587563 -0.02402255 0.02245490 0.27218128 -2.92587563 0.27218128 -0.07229901 20.00903528 1.19982476 0.02080683 1.19982476 -3.87773560 -0.04837335 0.02080683 -0.04837335 -1.49851765 1.19982476 -3.87773560 -0.04837335 -3.87773560 -2.56795656 -0.08023739 -0.04837335 -0.08023739 -1.15517670 0.02080683 -0.04837335 -1.49851765 -0.04837335 -0.08023739 -1.15517670 -1.49851765 -1.15517670 -0.07229901 0.49227980 0.03988304 4.74901626 0.03988304 -0.13084987 -0.64604247 4.74901626 -0.64604247 0.01241553 0.03988304 -0.13084987 -0.64604247 -0.13084987 -0.10677977 -1.25501138 -0.64604247 -1.25501138 -0.05097804 4.74901626 -0.64604247 0.01241553 -0.64604247 -1.25501138 -0.05097804 0.01241553 -0.05097804 -0.06096266 +DEAL::0.90486988 0.08052272 -0.15050595 0.08052272 -1.53373938 0.00194021 -0.15050595 0.00194021 -1.83443333 0.08052272 -1.53373938 0.00194021 -1.53373938 -0.17666880 0.00748656 0.00194021 0.00748656 -0.00267250 -0.15050595 0.00194021 -1.83443333 0.00194021 0.00748656 -0.00267250 -1.83443333 -0.00267250 0.62837285 -0.15816332 1.36538311 -0.00939163 1.36538311 -0.04023927 0.02029938 -0.00939163 0.02029938 -0.06059618 1.36538311 -0.04023927 0.02029938 -0.04023927 -1.46145071 0.01061006 0.02029938 0.01061006 -0.96916347 -0.00939163 0.02029938 -0.06059618 0.02029938 0.01061006 -0.96916347 -0.06059618 -0.96916347 0.03821892 0.19665560 -0.00640512 0.91860843 -0.00640512 0.08606598 0.00607427 0.91860843 0.00607427 0.03866510 -0.00640512 0.08606598 0.00607427 0.08606598 0.01655902 -0.59366570 0.00607427 -0.59366570 0.01061520 0.91860843 0.00607427 0.03866510 0.00607427 -0.59366570 0.01061520 0.03866510 0.01061520 -1.01380732 +DEAL::22.54016219 -6.87462057 2.37162812 -6.87462057 -10.12259044 -0.10774421 2.37162812 -0.10774421 -9.99913353 -6.87462057 -10.12259044 -0.10774421 -10.12259044 0 0 -0.10774421 0 0 2.37162812 -0.10774421 -9.99913353 -0.10774421 0 0 -9.99913353 0 0 -13.35252957 -17.85865162 -0.75300326 -17.85865162 4.88376516 -0.70930222 -0.75300326 -0.70930222 1.95616550 -17.85865162 4.88376516 -0.70930222 4.88376516 0 0 -0.70930222 0 0 -0.75300326 -0.70930222 1.95616550 -0.70930222 0 0 1.95616550 0 0 2.65980633 -0.40421773 -10.95100107 -0.40421773 -0.42596362 1.13293364 -10.95100107 1.13293364 -0.86713702 -0.40421773 -0.42596362 1.13293364 -0.42596362 0 0 1.13293364 0 0 -10.95100107 1.13293364 -0.86713702 1.13293364 0 0 -0.86713702 0 0 +DEAL::35.99941036 0.26399942 2.63361871 0.26399942 -2.66363659 -0.08977536 2.63361871 -0.08977536 -4.68712270 0.26399942 -2.66363659 -0.08977536 -2.66363659 0.12893401 -0.28899901 -0.08977536 -0.28899901 -0.04304625 2.63361871 -0.08977536 -4.68712270 -0.08977536 -0.28899901 -0.04304625 -4.68712270 -0.04304625 1.87226591 -4.24503419 3.72502890 -0.57915969 3.72502890 -0.17608522 0.60386619 -0.57915969 0.60386619 0.49896744 3.72502890 -0.17608522 0.60386619 -0.17608522 0.02868395 -0.12873771 0.60386619 -0.12873771 -0.89944055 -0.57915969 0.60386619 0.49896744 0.60386619 -0.12873771 -0.89944055 0.49896744 -0.89944055 -0.20367908 -13.56394801 0.21224074 -0.17202528 0.21224074 1.36132328 0.24243264 -0.17202528 0.24243264 0.30101791 0.21224074 1.36132328 0.24243264 1.36132328 -0.12893401 -1.01331430 0.24243264 -1.01331430 -0.12787935 -0.17202528 0.24243264 0.30101791 0.24243264 -1.01331430 -0.12787935 0.30101791 -0.12787935 0.02010178 +DEAL::35.99941036 0.26399942 -2.63361871 0.26399942 -2.66363659 0.08977536 -2.63361871 0.08977536 -4.68712270 0.26399942 -2.66363659 0.08977536 -2.66363659 0.12893401 0.28899901 0.08977536 0.28899901 -0.04304625 -2.63361871 0.08977536 -4.68712270 0.08977536 0.28899901 -0.04304625 -4.68712270 -0.04304625 -1.87226591 -4.24503419 3.72502890 0.57915969 3.72502890 -0.17608522 -0.60386619 0.57915969 -0.60386619 0.49896744 3.72502890 -0.17608522 -0.60386619 -0.17608522 0.02868395 0.12873771 -0.60386619 0.12873771 -0.89944055 0.57915969 -0.60386619 0.49896744 -0.60386619 0.12873771 -0.89944055 0.49896744 -0.89944055 0.20367908 13.56394801 -0.21224074 -0.17202528 -0.21224074 -1.36132328 0.24243264 -0.17202528 0.24243264 -0.30101791 -0.21224074 -1.36132328 0.24243264 -1.36132328 0.12893401 -1.01331430 0.24243264 -1.01331430 0.12787935 -0.17202528 0.24243264 -0.30101791 0.24243264 -1.01331430 0.12787935 -0.30101791 0.12787935 0.02010178 +DEAL::-2.56795656 0.08023739 3.87773560 0.08023739 -1.15517670 -0.04837335 3.87773560 -0.04837335 1.19982476 0.08023739 -1.15517670 -0.04837335 -1.15517670 0.07229901 1.49851765 -0.04837335 1.49851765 -0.02080683 3.87773560 -0.04837335 1.19982476 -0.04837335 1.49851765 -0.02080683 1.19982476 -0.02080683 -20.00903528 0.10677977 -1.25501138 -0.13084987 -1.25501138 0.05097804 0.64604247 -0.13084987 0.64604247 -0.03988304 -1.25501138 0.05097804 0.64604247 0.05097804 -0.06096266 0.01241553 0.64604247 0.01241553 4.74901626 -0.13084987 0.64604247 -0.03988304 0.64604247 0.01241553 4.74901626 -0.03988304 4.74901626 0.49227980 3.22487151 0.02245490 -5.42260314 0.02245490 -0.27218128 0.02402255 -5.42260314 0.02402255 0.51977673 0.02245490 -0.27218128 0.02402255 -0.27218128 -0.07229901 -2.92587563 0.02402255 -2.92587563 -0.13058707 -5.42260314 0.02402255 0.51977673 0.02402255 -2.92587563 -0.13058707 0.51977673 -0.13058707 30.45935732 +DEAL::-0.03827743 0.20170335 -1.37648507 0.20170335 -1.11170908 0.30783664 -1.37648507 0.30783664 -3.57130596 0.20170335 -1.11170908 0.30783664 -1.11170908 0.12893401 -1.26292850 0.30783664 -1.26292850 -0.41687273 -1.37648507 0.30783664 -3.57130596 0.30783664 -1.26292850 -0.41687273 -3.57130596 -0.41687273 27.04657076 0.16030976 -0.96052551 0.30095768 -0.96052551 0.08382886 -0.66772503 0.30095768 -0.66772503 0.06374689 -0.96052551 0.08382886 -0.66772503 0.08382886 0.02868395 -0.13117637 -0.66772503 -0.13117637 3.91383155 0.30095768 -0.66772503 0.06374689 -0.66772503 -0.13117637 3.91383155 0.06374689 3.91383155 -2.06139720 -1.83126010 -0.04309022 -4.63246678 -0.04309022 0.28673026 0.09226090 -4.63246678 0.09226090 -2.68270126 -0.04309022 0.28673026 0.09226090 0.28673026 0.12893401 -2.66136783 0.09226090 -2.66136783 0.25907231 -4.63246678 0.09226090 -2.68270126 0.09226090 -2.66136783 0.25907231 -2.68270126 0.25907231 35.94168446 +DEAL::-1.46145071 0.01061006 -0.04023927 0.01061006 -0.96916347 0.02029938 -0.04023927 0.02029938 1.36538311 0.01061006 -0.96916347 0.02029938 -0.96916347 0.03821892 -0.06059618 0.02029938 -0.06059618 -0.00939163 -0.04023927 0.02029938 1.36538311 0.02029938 -0.06059618 -0.00939163 1.36538311 -0.00939163 -0.15816332 0.01655902 -0.59366570 0.08606598 -0.59366570 0.01061520 0.00607427 0.08606598 0.00607427 -0.00640512 -0.59366570 0.01061520 0.00607427 0.01061520 -1.01380732 0.03866510 0.00607427 0.03866510 0.91860843 0.08606598 0.00607427 -0.00640512 0.00607427 0.03866510 0.91860843 -0.00640512 0.91860843 0.19665560 -0.17666880 0.00748656 -1.53373938 0.00748656 -0.00267250 0.00194021 -1.53373938 0.00194021 0.08052272 0.00748656 -0.00267250 0.00194021 -0.00267250 0.62837285 -1.83443333 0.00194021 -1.83443333 -0.15050595 -1.53373938 0.00194021 0.08052272 0.00194021 -1.83443333 -0.15050595 0.08052272 -0.15050595 0.90486988 +DEAL::0 0 4.88376516 0 0 -0.70930222 4.88376516 -0.70930222 -17.85865162 0 0 -0.70930222 0 0 1.95616550 -0.70930222 1.95616550 -0.75300326 4.88376516 -0.70930222 -17.85865162 -0.70930222 1.95616550 -0.75300326 -17.85865162 -0.75300326 -13.35252957 0 0 -0.42596362 0 0 1.13293364 -0.42596362 1.13293364 -0.40421773 0 0 1.13293364 0 0 -0.86713702 1.13293364 -0.86713702 -10.95100107 -0.42596362 1.13293364 -0.40421773 1.13293364 -0.86713702 -10.95100107 -0.40421773 -10.95100107 2.65980633 0 0 -10.12259044 0 0 -0.10774421 -10.12259044 -0.10774421 -6.87462057 0 0 -0.10774421 0 0 -9.99913353 -0.10774421 -9.99913353 2.37162812 -10.12259044 -0.10774421 -6.87462057 -0.10774421 -9.99913353 2.37162812 -6.87462057 2.37162812 22.54016219 +DEAL::0.02868395 -0.12873771 -0.17608522 -0.12873771 -0.89944055 0.60386619 -0.17608522 0.60386619 3.72502890 -0.12873771 -0.89944055 0.60386619 -0.89944055 -0.20367908 0.49896744 0.60386619 0.49896744 -0.57915969 -0.17608522 0.60386619 3.72502890 0.60386619 0.49896744 -0.57915969 3.72502890 -0.57915969 -4.24503419 -0.12893401 -1.01331430 1.36132328 -1.01331430 -0.12787935 0.24243264 1.36132328 0.24243264 0.21224074 -1.01331430 -0.12787935 0.24243264 -0.12787935 0.02010178 0.30101791 0.24243264 0.30101791 -0.17202528 1.36132328 0.24243264 0.21224074 0.24243264 0.30101791 -0.17202528 0.21224074 -0.17202528 -13.56394801 0.12893401 -0.28899901 -2.66363659 -0.28899901 -0.04304625 -0.08977536 -2.66363659 -0.08977536 0.26399942 -0.28899901 -0.04304625 -0.08977536 -0.04304625 1.87226591 -4.68712270 -0.08977536 -4.68712270 2.63361871 -2.66363659 -0.08977536 0.26399942 -0.08977536 -4.68712270 2.63361871 0.26399942 2.63361871 35.99941036 +DEAL::0.02868395 0.12873771 -0.17608522 0.12873771 -0.89944055 -0.60386619 -0.17608522 -0.60386619 3.72502890 0.12873771 -0.89944055 -0.60386619 -0.89944055 0.20367908 0.49896744 -0.60386619 0.49896744 0.57915969 -0.17608522 -0.60386619 3.72502890 -0.60386619 0.49896744 0.57915969 3.72502890 0.57915969 -4.24503419 0.12893401 -1.01331430 -1.36132328 -1.01331430 0.12787935 0.24243264 -1.36132328 0.24243264 -0.21224074 -1.01331430 0.12787935 0.24243264 0.12787935 0.02010178 -0.30101791 0.24243264 -0.30101791 -0.17202528 -1.36132328 0.24243264 -0.21224074 0.24243264 -0.30101791 -0.17202528 -0.21224074 -0.17202528 13.56394801 0.12893401 0.28899901 -2.66363659 0.28899901 -0.04304625 0.08977536 -2.66363659 0.08977536 0.26399942 0.28899901 -0.04304625 0.08977536 -0.04304625 -1.87226591 -4.68712270 0.08977536 -4.68712270 -2.63361871 -2.66363659 0.08977536 0.26399942 0.08977536 -4.68712270 -2.63361871 0.26399942 -2.63361871 35.99941036 +DEAL::0.90486988 0.15050595 -0.08052272 0.15050595 -1.83443333 0.00194021 -0.08052272 0.00194021 -1.53373938 0.15050595 -1.83443333 0.00194021 -1.83443333 -0.62837285 0.00267250 0.00194021 0.00267250 -0.00748656 -0.08052272 0.00194021 -1.53373938 0.00194021 0.00267250 -0.00748656 -1.53373938 -0.00748656 0.17666880 -0.19665560 0.91860843 -0.00640512 0.91860843 -0.03866510 -0.00607427 -0.00640512 -0.00607427 -0.08606598 0.91860843 -0.03866510 -0.00607427 -0.03866510 -1.01380732 0.01061520 -0.00607427 0.01061520 -0.59366570 -0.00640512 -0.00607427 -0.08606598 -0.00607427 0.01061520 -0.59366570 -0.08606598 -0.59366570 0.01655902 0.15816332 -0.00939163 1.36538311 -0.00939163 0.06059618 -0.02029938 1.36538311 -0.02029938 0.04023927 -0.00939163 0.06059618 -0.02029938 0.06059618 0.03821892 -0.96916347 -0.02029938 -0.96916347 0.01061006 1.36538311 -0.02029938 0.04023927 -0.02029938 -0.96916347 0.01061006 0.04023927 0.01061006 -1.46145071 +DEAL::22.85961809 6.49957255 -2.51397962 6.49957255 -10.12259044 -0.10774421 -2.51397962 -0.10774421 -9.99913353 6.49957255 -10.12259044 -0.10774421 -10.12259044 0 0 -0.10774421 0 0 -2.51397962 -0.10774421 -9.99913353 -0.10774421 0 0 -9.99913353 0 0 7.18833409 -10.30379873 -0.39834805 -10.30379873 -2.33958440 0.41464298 -0.39834805 0.41464298 -1.12682998 -10.30379873 -2.33958440 0.41464298 -2.33958440 0 0 0.41464298 0 0 -0.39834805 0.41464298 -1.12682998 0.41464298 0 0 -1.12682998 0 0 -5.02139868 -0.77175608 -19.51769184 -0.77175608 0.74398621 -1.97486579 -19.51769184 -1.97486579 1.80013948 -0.77175608 0.74398621 -1.97486579 0.74398621 0 0 -1.97486579 0 0 -19.51769184 -1.97486579 1.80013948 -1.97486579 0 0 1.80013948 0 0 +DEAL::35.99941036 -2.63361871 -0.26399942 -2.63361871 -4.68712270 -0.08977536 -0.26399942 -0.08977536 -2.66363659 -2.63361871 -4.68712270 -0.08977536 -4.68712270 -1.87226591 0.04304625 -0.08977536 0.04304625 0.28899901 -0.26399942 -0.08977536 -2.66363659 -0.08977536 0.04304625 0.28899901 -2.66363659 0.28899901 -0.12893401 13.56394801 -0.17202528 0.21224074 -0.17202528 -0.30101791 -0.24243264 0.21224074 -0.24243264 -1.36132328 -0.17202528 -0.30101791 -0.24243264 -0.30101791 0.02010178 -0.12787935 -0.24243264 -0.12787935 -1.01331430 0.21224074 -0.24243264 -1.36132328 -0.24243264 -0.12787935 -1.01331430 -1.36132328 -1.01331430 -0.12893401 4.24503419 -0.57915969 3.72502890 -0.57915969 -0.49896744 -0.60386619 3.72502890 -0.60386619 0.17608522 -0.57915969 -0.49896744 -0.60386619 -0.49896744 -0.20367908 -0.89944055 -0.60386619 -0.89944055 -0.12873771 3.72502890 -0.60386619 0.17608522 -0.60386619 -0.89944055 -0.12873771 0.17608522 -0.12873771 0.02868395 +DEAL::35.99941036 2.63361871 -0.26399942 2.63361871 -4.68712270 0.08977536 -0.26399942 0.08977536 -2.66363659 2.63361871 -4.68712270 0.08977536 -4.68712270 1.87226591 0.04304625 0.08977536 0.04304625 -0.28899901 -0.26399942 0.08977536 -2.66363659 0.08977536 0.04304625 -0.28899901 -2.66363659 -0.28899901 -0.12893401 -13.56394801 -0.17202528 -0.21224074 -0.17202528 0.30101791 -0.24243264 -0.21224074 -0.24243264 1.36132328 -0.17202528 0.30101791 -0.24243264 0.30101791 0.02010178 0.12787935 -0.24243264 0.12787935 -1.01331430 -0.21224074 -0.24243264 1.36132328 -0.24243264 0.12787935 -1.01331430 1.36132328 -1.01331430 0.12893401 4.24503419 0.57915969 3.72502890 0.57915969 -0.49896744 0.60386619 3.72502890 0.60386619 0.17608522 0.57915969 -0.49896744 0.60386619 -0.49896744 0.20367908 -0.89944055 0.60386619 -0.89944055 0.12873771 3.72502890 0.60386619 0.17608522 0.60386619 -0.89944055 0.12873771 0.17608522 0.12873771 0.02868395 +DEAL::35.94168446 -0.25907231 -2.68270126 -0.25907231 -2.66136783 -0.09226090 -2.68270126 -0.09226090 -4.63246678 -0.25907231 -2.66136783 -0.09226090 -2.66136783 -0.12893401 0.28673026 -0.09226090 0.28673026 0.04309022 -2.68270126 -0.09226090 -4.63246678 -0.09226090 0.28673026 0.04309022 -4.63246678 0.04309022 -1.83126010 2.06139720 3.91383155 -0.06374689 3.91383155 0.13117637 -0.66772503 -0.06374689 -0.66772503 -0.30095768 3.91383155 0.13117637 -0.66772503 0.13117637 0.02868395 -0.08382886 -0.66772503 -0.08382886 -0.96052551 -0.06374689 -0.66772503 -0.30095768 -0.66772503 -0.08382886 -0.96052551 -0.30095768 -0.96052551 -0.16030976 27.04657076 0.41687273 -3.57130596 0.41687273 -1.26292850 -0.30783664 -3.57130596 -0.30783664 -1.37648507 0.41687273 -1.26292850 -0.30783664 -1.26292850 -0.12893401 -1.11170908 -0.30783664 -1.11170908 -0.20170335 -3.57130596 -0.30783664 -1.37648507 -0.30783664 -1.11170908 -0.20170335 -1.37648507 -0.20170335 -0.03827743 +DEAL::30.45935732 0.13058707 0.51977673 0.13058707 -2.92587563 -0.02402255 0.51977673 -0.02402255 -5.42260314 0.13058707 -2.92587563 -0.02402255 -2.92587563 0.07229901 -0.27218128 -0.02402255 -0.27218128 -0.02245490 0.51977673 -0.02402255 -5.42260314 -0.02402255 -0.27218128 -0.02245490 -5.42260314 -0.02245490 3.22487151 -0.49227980 4.74901626 0.03988304 4.74901626 -0.01241553 0.64604247 0.03988304 0.64604247 0.13084987 4.74901626 -0.01241553 0.64604247 -0.01241553 -0.06096266 -0.05097804 0.64604247 -0.05097804 -1.25501138 0.03988304 0.64604247 0.13084987 0.64604247 -0.05097804 -1.25501138 0.13084987 -1.25501138 -0.10677977 -20.00903528 0.02080683 1.19982476 0.02080683 1.49851765 0.04837335 1.19982476 0.04837335 3.87773560 0.02080683 1.49851765 0.04837335 1.49851765 -0.07229901 -1.15517670 0.04837335 -1.15517670 -0.08023739 1.19982476 0.04837335 3.87773560 0.04837335 -1.15517670 -0.08023739 3.87773560 -0.08023739 -2.56795656 +DEAL::-0.03827743 -1.37648507 -0.20170335 -1.37648507 -3.57130596 -0.30783664 -0.20170335 -0.30783664 -1.11170908 -1.37648507 -3.57130596 -0.30783664 -3.57130596 27.04657076 0.41687273 -0.30783664 0.41687273 -1.26292850 -0.20170335 -0.30783664 -1.11170908 -0.30783664 0.41687273 -1.26292850 -1.11170908 -1.26292850 -0.12893401 -1.83126010 -4.63246678 0.04309022 -4.63246678 -2.68270126 -0.09226090 0.04309022 -0.09226090 0.28673026 -4.63246678 -2.68270126 -0.09226090 -2.68270126 35.94168446 -0.25907231 -0.09226090 -0.25907231 -2.66136783 0.04309022 -0.09226090 0.28673026 -0.09226090 -0.25907231 -2.66136783 0.28673026 -2.66136783 -0.12893401 -0.16030976 -0.30095768 -0.96052551 -0.30095768 -0.06374689 -0.66772503 -0.96052551 -0.66772503 -0.08382886 -0.30095768 -0.06374689 -0.66772503 -0.06374689 2.06139720 3.91383155 -0.66772503 3.91383155 0.13117637 -0.96052551 -0.66772503 -0.08382886 -0.66772503 3.91383155 0.13117637 -0.08382886 0.13117637 0.02868395 +DEAL::-2.56795656 3.87773560 -0.08023739 3.87773560 1.19982476 0.04837335 -0.08023739 0.04837335 -1.15517670 3.87773560 1.19982476 0.04837335 1.19982476 -20.00903528 0.02080683 0.04837335 0.02080683 1.49851765 -0.08023739 0.04837335 -1.15517670 0.04837335 0.02080683 1.49851765 -1.15517670 1.49851765 -0.07229901 3.22487151 -5.42260314 -0.02245490 -5.42260314 0.51977673 -0.02402255 -0.02245490 -0.02402255 -0.27218128 -5.42260314 0.51977673 -0.02402255 0.51977673 30.45935732 0.13058707 -0.02402255 0.13058707 -2.92587563 -0.02245490 -0.02402255 -0.27218128 -0.02402255 0.13058707 -2.92587563 -0.27218128 -2.92587563 0.07229901 -0.10677977 0.13084987 -1.25501138 0.13084987 0.03988304 0.64604247 -1.25501138 0.64604247 -0.05097804 0.13084987 0.03988304 0.64604247 0.03988304 -0.49227980 4.74901626 0.64604247 4.74901626 -0.01241553 -1.25501138 0.64604247 -0.05097804 0.64604247 4.74901626 -0.01241553 -0.05097804 -0.01241553 -0.06096266 +DEAL::-1.46145071 0.04023927 0.01061006 0.04023927 1.36538311 -0.02029938 0.01061006 -0.02029938 -0.96916347 0.04023927 1.36538311 -0.02029938 1.36538311 0.15816332 -0.00939163 -0.02029938 -0.00939163 0.06059618 0.01061006 -0.02029938 -0.96916347 -0.02029938 -0.00939163 0.06059618 -0.96916347 0.06059618 0.03821892 0.17666880 -1.53373938 -0.00748656 -1.53373938 -0.08052272 0.00194021 -0.00748656 0.00194021 0.00267250 -1.53373938 -0.08052272 0.00194021 -0.08052272 0.90486988 0.15050595 0.00194021 0.15050595 -1.83443333 -0.00748656 0.00194021 0.00267250 0.00194021 0.15050595 -1.83443333 0.00267250 -1.83443333 -0.62837285 0.01655902 -0.08606598 -0.59366570 -0.08606598 -0.00640512 -0.00607427 -0.59366570 -0.00607427 0.01061520 -0.08606598 -0.00640512 -0.00607427 -0.00640512 -0.19665560 0.91860843 -0.00607427 0.91860843 -0.03866510 -0.59366570 -0.00607427 0.01061520 -0.00607427 0.91860843 -0.03866510 0.01061520 -0.03866510 -1.01380732 +DEAL::0 1.80013948 0 1.80013948 -19.51769184 -1.97486579 0 -1.97486579 0 1.80013948 -19.51769184 -1.97486579 -19.51769184 -5.02139868 -0.77175608 -1.97486579 -0.77175608 0.74398621 0 -1.97486579 0 -1.97486579 -0.77175608 0.74398621 0 0.74398621 0 0 -9.99913353 0 -9.99913353 -2.51397962 -0.10774421 0 -0.10774421 0 -9.99913353 -2.51397962 -0.10774421 -2.51397962 22.85961809 6.49957255 -0.10774421 6.49957255 -10.12259044 0 -0.10774421 0 -0.10774421 6.49957255 -10.12259044 0 -10.12259044 0 0 -1.12682998 0 -1.12682998 -0.39834805 0.41464298 0 0.41464298 0 -1.12682998 -0.39834805 0.41464298 -0.39834805 7.18833409 -10.30379873 0.41464298 -10.30379873 -2.33958440 0 0.41464298 0 0.41464298 -10.30379873 -2.33958440 0 -2.33958440 0 +DEAL::-0.06096266 -0.02661666 0.06517918 -0.02661666 5.72242582 -1.02563794 0.06517918 -1.02563794 -1.46923002 -0.02661666 5.72242582 -1.02563794 5.72242582 -1.15279191 0.04572102 -1.02563794 0.04572102 0.24636302 0.06517918 -1.02563794 -1.46923002 -1.02563794 0.04572102 0.24636302 -1.46923002 0.24636302 0.16394024 0.07229901 -2.92634670 0.27265235 -2.92634670 0.13110338 0.02377481 0.27265235 0.02377481 -0.02247574 -2.92634670 0.13110338 0.02377481 0.13110338 30.46192644 -0.50215607 0.02377481 -0.50215607 -5.43557472 0.27265235 0.02377481 -0.02247574 0.02377481 -0.50215607 -5.43557472 -0.02247574 -5.43557472 -3.24138788 0.07229901 -1.51482497 -1.13886938 -1.51482497 -0.04731829 0.06789138 -1.13886938 0.06789138 0.06771280 -1.51482497 -0.04731829 0.06789138 -0.04731829 8.99829626 1.86924082 0.06789138 1.86924082 -1.35641138 -1.13886938 0.06789138 0.06771280 0.06789138 1.86924082 -1.35641138 0.06771280 -1.35641138 -1.12943839 +DEAL::0.02868395 0.17608522 0.12873771 0.17608522 3.72502890 0.60386619 0.12873771 0.60386619 -0.89944055 0.17608522 3.72502890 0.60386619 3.72502890 4.24503419 0.57915969 0.60386619 0.57915969 -0.49896744 0.12873771 0.60386619 -0.89944055 0.60386619 0.57915969 -0.49896744 -0.89944055 -0.49896744 0.20367908 -0.12893401 -2.66363659 -0.28899901 -2.66363659 -0.26399942 0.08977536 -0.28899901 0.08977536 0.04304625 -2.66363659 -0.26399942 0.08977536 -0.26399942 35.99941036 2.63361871 0.08977536 2.63361871 -4.68712270 -0.28899901 0.08977536 0.04304625 0.08977536 2.63361871 -4.68712270 0.04304625 -4.68712270 1.87226591 0.12893401 1.36132328 -1.01331430 1.36132328 -0.21224074 -0.24243264 -1.01331430 -0.24243264 0.12787935 1.36132328 -0.21224074 -0.24243264 -0.21224074 -13.56394801 -0.17202528 -0.24243264 -0.17202528 0.30101791 -1.01331430 -0.24243264 0.12787935 -0.24243264 -0.17202528 0.30101791 0.12787935 0.30101791 0.02010178 +DEAL::-1.01380732 0.03866510 0.01061520 0.03866510 0.91860843 0.00607427 0.01061520 0.00607427 -0.59366570 0.03866510 0.91860843 0.00607427 0.91860843 0.19665560 -0.00640512 0.00607427 -0.00640512 0.08606598 0.01061520 0.00607427 -0.59366570 0.00607427 -0.00640512 0.08606598 -0.59366570 0.08606598 0.01655902 0.62837285 -1.83443333 -0.00267250 -1.83443333 -0.15050595 0.00194021 -0.00267250 0.00194021 0.00748656 -1.83443333 -0.15050595 0.00194021 -0.15050595 0.90486988 0.08052272 0.00194021 0.08052272 -1.53373938 -0.00267250 0.00194021 0.00748656 0.00194021 0.08052272 -1.53373938 0.00748656 -1.53373938 -0.17666880 0.03821892 -0.06059618 -0.96916347 -0.06059618 -0.00939163 0.02029938 -0.96916347 0.02029938 0.01061006 -0.06059618 -0.00939163 0.02029938 -0.00939163 -0.15816332 1.36538311 0.02029938 1.36538311 -0.04023927 -0.96916347 0.02029938 0.01061006 0.02029938 1.36538311 -0.04023927 0.01061006 -0.04023927 -1.46145071 +DEAL::0 -0.86713702 0 -0.86713702 -10.95100107 1.13293364 0 1.13293364 0 -0.86713702 -10.95100107 1.13293364 -10.95100107 2.65980633 -0.40421773 1.13293364 -0.40421773 -0.42596362 0 1.13293364 0 1.13293364 -0.40421773 -0.42596362 0 -0.42596362 0 0 -9.99913353 0 -9.99913353 2.37162812 -0.10774421 0 -0.10774421 0 -9.99913353 2.37162812 -0.10774421 2.37162812 22.54016219 -6.87462057 -0.10774421 -6.87462057 -10.12259044 0 -0.10774421 0 -0.10774421 -6.87462057 -10.12259044 0 -10.12259044 0 0 1.95616550 0 1.95616550 -0.75300326 -0.70930222 0 -0.70930222 0 1.95616550 -0.75300326 -0.70930222 -0.75300326 -13.35252957 -17.85865162 -0.70930222 -17.85865162 4.88376516 0 -0.70930222 0 -0.70930222 -17.85865162 4.88376516 0 4.88376516 0 +DEAL::0.02010178 0.30101791 -0.12787935 0.30101791 -0.17202528 0.24243264 -0.12787935 0.24243264 -1.01331430 0.30101791 -0.17202528 0.24243264 -0.17202528 -13.56394801 0.21224074 0.24243264 0.21224074 1.36132328 -0.12787935 0.24243264 -1.01331430 0.24243264 0.21224074 1.36132328 -1.01331430 1.36132328 -0.12893401 1.87226591 -4.68712270 -0.04304625 -4.68712270 2.63361871 -0.08977536 -0.04304625 -0.08977536 -0.28899901 -4.68712270 2.63361871 -0.08977536 2.63361871 35.99941036 0.26399942 -0.08977536 0.26399942 -2.66363659 -0.04304625 -0.08977536 -0.28899901 -0.08977536 0.26399942 -2.66363659 -0.28899901 -2.66363659 0.12893401 -0.20367908 0.49896744 -0.89944055 0.49896744 -0.57915969 0.60386619 -0.89944055 0.60386619 -0.12873771 0.49896744 -0.57915969 0.60386619 -0.57915969 -4.24503419 3.72502890 0.60386619 3.72502890 -0.17608522 -0.89944055 0.60386619 -0.12873771 0.60386619 3.72502890 -0.17608522 -0.12873771 -0.17608522 0.02868395 +DEAL::-1.12943839 -1.35641138 -0.06771280 -1.35641138 1.86924082 -0.06789138 -0.06771280 -0.06789138 -1.13886938 -1.35641138 1.86924082 -0.06789138 1.86924082 8.99829626 0.04731829 -0.06789138 0.04731829 -1.51482497 -0.06771280 -0.06789138 -1.13886938 -0.06789138 0.04731829 -1.51482497 -1.13886938 -1.51482497 -0.07229901 -3.24138788 -5.43557472 0.02247574 -5.43557472 -0.50215607 -0.02377481 0.02247574 -0.02377481 0.27265235 -5.43557472 -0.50215607 -0.02377481 -0.50215607 30.46192644 -0.13110338 -0.02377481 -0.13110338 -2.92634670 0.02247574 -0.02377481 0.27265235 -0.02377481 -0.13110338 -2.92634670 0.27265235 -2.92634670 -0.07229901 -0.16394024 -0.24636302 -1.46923002 -0.24636302 -0.04572102 -1.02563794 -1.46923002 -1.02563794 -0.06517918 -0.24636302 -0.04572102 -1.02563794 -0.04572102 1.15279191 5.72242582 -1.02563794 5.72242582 0.02661666 -1.46923002 -1.02563794 -0.06517918 -1.02563794 5.72242582 0.02661666 -0.06517918 0.02661666 -0.06096266 +DEAL::-0.06096266 0.01241553 0.05097804 0.01241553 4.74901626 0.64604247 0.05097804 0.64604247 -1.25501138 0.01241553 4.74901626 0.64604247 4.74901626 0.49227980 -0.03988304 0.64604247 -0.03988304 -0.13084987 0.05097804 0.64604247 -1.25501138 0.64604247 -0.03988304 -0.13084987 -1.25501138 -0.13084987 0.10677977 -0.07229901 -2.92587563 -0.27218128 -2.92587563 -0.13058707 0.02402255 -0.27218128 0.02402255 0.02245490 -2.92587563 -0.13058707 0.02402255 -0.13058707 30.45935732 0.51977673 0.02402255 0.51977673 -5.42260314 -0.27218128 0.02402255 0.02245490 0.02402255 0.51977673 -5.42260314 0.02245490 -5.42260314 3.22487151 0.07229901 1.49851765 -1.15517670 1.49851765 -0.02080683 -0.04837335 -1.15517670 -0.04837335 0.08023739 1.49851765 -0.02080683 -0.04837335 -0.02080683 -20.00903528 1.19982476 -0.04837335 1.19982476 3.87773560 -1.15517670 -0.04837335 0.08023739 -0.04837335 1.19982476 3.87773560 0.08023739 3.87773560 -2.56795656 +DEAL::0.02868395 -0.13117637 0.08382886 -0.13117637 3.91383155 -0.66772503 0.08382886 -0.66772503 -0.96052551 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