Polynomials on Simplices
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Polynomials on Simplices
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B
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C
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D
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E
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F
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G
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H
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I
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K
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L
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M
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N
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O
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P
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Q
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R
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S
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T
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U
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V
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W
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Z
A
absolute_error() (in module polynomials_on_simplices.calculus.error_measures)
address() (KdTreeNode method)
affine_composition() (in module polynomials_on_simplices.calculus.affine_map)
affine_map_from_unit() (in module polynomials_on_simplices.geometry.primitives.simplex)
affine_map_to_unit() (in module polynomials_on_simplices.geometry.primitives.simplex)
affine_transformation() (in module polynomials_on_simplices.geometry.primitives.simplex)
affine_transformation_from_unit() (in module polynomials_on_simplices.geometry.primitives.simplex)
affine_transformation_to_unit() (in module polynomials_on_simplices.geometry.primitives.simplex)
al() (CodeWriter method)
altitude() (in module polynomials_on_simplices.geometry.primitives.simplex)
altitude_feet() (in module polynomials_on_simplices.geometry.primitives.triangle)
altitude_vectors() (in module polynomials_on_simplices.geometry.primitives.triangle)
altitudes() (in module polynomials_on_simplices.geometry.primitives.triangle)
angle() (in module polynomials_on_simplices.geometry.primitives.triangle)
annulus_triangulation() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes)
area() (in module polynomials_on_simplices.geometry.primitives.triangle)
area_weighted_normal() (in module polynomials_on_simplices.geometry.primitives.triangle)
axis_angle_to_rotation_matrix() (in module polynomials_on_simplices.linalg.rotation)
B
barycentric_polynomial_general() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
barycentric_to_cartesian() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.primitives.triangle)
barycentric_to_cartesian_unit() (in module polynomials_on_simplices.geometry.primitives.simplex)
barycentric_to_trilinear() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.primitives.triangle)
basis() (in module polynomials_on_simplices.geometry.primitives.simplex)
(PiecewisePolynomialBase method)
(PiecewisePolynomialBernstein method)
(PiecewisePolynomialLagrange method)
(Polynomial method)
(PolynomialBase method)
(PolynomialBernstein method)
(PolynomialBernsteinSimplex method)
(PolynomialLagrange method)
(PolynomialLagrangeSimplex method)
(in module polynomials_on_simplices.geometry.primitives.triangle)
basis_matrix() (in module polynomials_on_simplices.linalg.basis)
basis_vectors() (in module polynomials_on_simplices.linalg.basis)
bernstein_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
bernstein_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
bernstein_basis_fn_latex() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
bernstein_basis_fn_latex_compact() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
bernstein_basis_fn_monomial() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
bernstein_basis_fn_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
bernstein_basis_fn_simplex_latex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
bernstein_basis_fn_simplex_monomial() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
bernstein_basis_latex() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
bernstein_basis_latex_compact() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
bernstein_basis_monomial() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
bernstein_basis_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
bernstein_basis_simplex_latex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
bernstein_basis_simplex_monomial() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
binom() (in module polynomials_on_simplices.algebra.multiindex)
bl() (CodeWriter method)
boundary() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
boundary_map_matrix() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
C
cartesian_basis() (in module polynomials_on_simplices.linalg.basis)
cartesian_basis_vector() (in module polynomials_on_simplices.linalg.basis)
cartesian_product() (in module polynomials_on_simplices.set_theory)
cartesian_to_barycentric() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.primitives.triangle)
cartesian_to_barycentric_unit() (in module polynomials_on_simplices.geometry.primitives.simplex)
central_difference() (in module polynomials_on_simplices.calculus.finite_difference)
central_difference_jacobian() (in module polynomials_on_simplices.calculus.finite_difference)
centroid() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
(in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.primitives.triangle)
centroids() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
circularly_equivalent() (in module polynomials_on_simplices.algebra.permutations)
circumcenter() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.primitives.triangle)
circumradius() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.primitives.triangle)
closed_unit_interval_sample() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
closed_unit_interval_sampling() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
code_str() (Polynomial method)
(PolynomialBase method)
(PolynomialBernstein method)
(PolynomialBernsteinSimplex method)
(PolynomialLagrange method)
(PolynomialLagrangeSimplex method)
CodeWriter (class in polynomials_on_simplices.generic_tools.code_generation_utils)
components() (MultiIndex method)
composition() (in module polynomials_on_simplices.algebra.algebraic_operations)
(in module polynomials_on_simplices.algebra.permutations)
compute_angle() (in module polynomials_on_simplices.calculus.angle)
compute_rotation() (in module polynomials_on_simplices.linalg.rotation)
constrain_to_range() (in module polynomials_on_simplices.calculus.real_interval)
construct_permutation() (in module polynomials_on_simplices.algebra.permutations)
construct_permutation_general() (in module polynomials_on_simplices.algebra.permutations)
continuous_piecewise_polynomial_bernstein_basis() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_bernstein_basis)
continuous_piecewise_polynomial_bernstein_basis_fn() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_bernstein_basis)
continuous_piecewise_polynomial_lagrange_basis() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_lagrange_basis)
continuous_piecewise_polynomial_lagrange_basis_fn() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_lagrange_basis)
ContinuousPiecewisePolynomialBase (class in polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial)
ContinuousPiecewisePolynomialBernstein (class in polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_bernstein_basis)
ContinuousPiecewisePolynomialLagrange (class in polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_lagrange_basis)
convert_float_to_fraction() (in module polynomials_on_simplices.generic_tools.str_utils)
convert_polynomial_to_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
corner() (in module polynomials_on_simplices.geometry.proximity.aabb)
count_num_lines() (CodeWriter method)
create() (in module polynomials_on_simplices.geometry.proximity.aabb)
create_affine_map() (in module polynomials_on_simplices.calculus.affine_map)
create_kd_tree() (in module polynomials_on_simplices.geometry.space_partitioning.kd_mesh_tree.simplicial_mesh_kd_tree)
(in module polynomials_on_simplices.geometry.space_partitioning.kd_tree)
cut_subtree() (KdTreeNode method)
cycle() (in module polynomials_on_simplices.algebra.permutations)
cyclic_permutations() (in module polynomials_on_simplices.algebra.permutations)
D
dec_indent() (CodeWriter method)
degree() (PiecewisePolynomialBase method)
(PolynomialBase method)
degree_elevate() (PiecewisePolynomialBase method)
(PiecewisePolynomialBernstein method)
(PiecewisePolynomialLagrange method)
(Polynomial method)
(PolynomialBase method)
(PolynomialBernstein method)
(PolynomialBernsteinSimplex method)
(PolynomialLagrange method)
(PolynomialLagrangeSimplex method)
degree_elevated_bernstein_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
degrees_to_radians() (in module polynomials_on_simplices.calculus.angle)
depth() (KdTreeNode method)
Dial (class in polynomials_on_simplices.calculus.angle)
diameter() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.primitives.triangle)
(in module polynomials_on_simplices.geometry.proximity.aabb)
dimension() (in module polynomials_on_simplices.geometry.primitives.simplex)
(PiecewisePolynomialBase method)
(in module polynomials_on_simplices.geometry.proximity.aabb)
direction() (in module polynomials_on_simplices.calculus.angle)
disc_triangulation() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes)
discrete_forward_difference() (in module polynomials_on_simplices.calculus.finite_difference)
distance() (in module polynomials_on_simplices.calculus.angle)
domain_dimension() (PiecewisePolynomialBase method)
(PolynomialBase method)
dual_basis() (in module polynomials_on_simplices.linalg.basis)
dual_bernstein_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
dual_bernstein_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
dual_bernstein_basis_fn_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
dual_bernstein_basis_polynomial() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
dual_bernstein_basis_polynomial_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
dual_bernstein_basis_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
dual_bernstein_polynomial_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
dual_bernstein_polynomial_basis_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
dual_continuous_piecewise_polynomial_bernstein_basis() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_bernstein_basis)
dual_continuous_piecewise_polynomial_bernstein_basis_fn() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_bernstein_basis)
dual_continuous_piecewise_polynomial_lagrange_basis() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_lagrange_basis)
dual_continuous_piecewise_polynomial_lagrange_basis_fn() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_lagrange_basis)
dual_edges() (in module polynomials_on_simplices.geometry.primitives.triangle)
dual_edges_2() (in module polynomials_on_simplices.geometry.primitives.triangle)
dual_lagrange_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
dual_lagrange_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
dual_lagrange_basis_fn_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
dual_lagrange_basis_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
dual_monomial_basis() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
dual_monomial_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
dual_piecewise_polynomial_bernstein_basis() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_bernstein_basis)
dual_piecewise_polynomial_bernstein_basis_fn() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_bernstein_basis)
dual_piecewise_polynomial_lagrange_basis() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_lagrange_basis)
dual_piecewise_polynomial_lagrange_basis_fn() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_lagrange_basis)
dual_polynomial_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
dual_polynomial_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
dual_vector_valued_bernstein_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
dual_vector_valued_bernstein_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
dual_vector_valued_bernstein_basis_fn_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
dual_vector_valued_bernstein_basis_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
dual_vector_valued_lagrange_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
dual_vector_valued_lagrange_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
dual_vector_valued_lagrange_basis_fn_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
dual_vector_valued_lagrange_basis_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
dual_vector_valued_monomial_basis() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
dual_vector_valued_monomial_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
dual_vector_valued_polynomial_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
dual_vector_valued_polynomial_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
E
edge_index() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
edge_lengths() (in module polynomials_on_simplices.geometry.primitives.triangle)
edges() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.primitives.triangle)
edges_2() (in module polynomials_on_simplices.geometry.primitives.triangle)
el() (CodeWriter method)
embed_point_cloud_in_rn() (in module polynomials_on_simplices.geometry.mesh.point_clouds)
embed_point_in_rn() (in module polynomials_on_simplices.geometry.mesh.point_clouds)
embedding_dimension() (in module polynomials_on_simplices.geometry.primitives.simplex)
empty() (CodeWriter method)
(in module polynomials_on_simplices.geometry.proximity.aabb)
equilateral() (in module polynomials_on_simplices.geometry.primitives.simplex)
equilateral_triangle_vertices() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes)
equivalent_periodic_element() (in module polynomials_on_simplices.calculus.real_interval)
evaluate_curve() (in module polynomials_on_simplices.calculus.plot_function)
evaluate_on_simplex() (PiecewisePolynomialBase method)
exact_norm_to_general() (in module polynomials_on_simplices.algebra.multiindex)
F
face() (in module polynomials_on_simplices.geometry.primitives.simplex)
face_normal() (in module polynomials_on_simplices.geometry.primitives.simplex)
factorial() (in module polynomials_on_simplices.algebra.multiindex)
find_leaf_containing_point() (in module polynomials_on_simplices.geometry.space_partitioning.kd_tree)
forward_difference() (in module polynomials_on_simplices.calculus.finite_difference)
forward_difference_jacobian() (in module polynomials_on_simplices.calculus.finite_difference)
from_cycle_notation() (in module polynomials_on_simplices.algebra.permutations)
from_one_based() (in module polynomials_on_simplices.algebra.permutations)
from_transpositions() (in module polynomials_on_simplices.algebra.permutations)
from_two_line_notation() (in module polynomials_on_simplices.algebra.permutations)
full() (in module polynomials_on_simplices.geometry.proximity.aabb)
G
gauss_legendre_unit_interval() (in module polynomials_on_simplices.calculus.quadrature)
general_tetrahedron_vertices() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.tet_meshes)
general_to_exact_norm() (in module polynomials_on_simplices.algebra.multiindex)
general_triangle_vertices() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes)
generate() (in module polynomials_on_simplices.algebra.multiindex)
generate_all() (in module polynomials_on_simplices.algebra.multiindex)
generate_all_exact_norm() (in module polynomials_on_simplices.algebra.multiindex)
generate_all_increasing() (in module polynomials_on_simplices.algebra.multiindex)
generate_all_multi_cap() (in module polynomials_on_simplices.algebra.multiindex)
generate_all_non_decreasing() (in module polynomials_on_simplices.algebra.multiindex)
generate_barycentric_basis() (in module polynomials_on_simplices.polynomial.code_generation.generate_barycentric_polynomial_functions_simplex)
generate_barycentric_basis_fn() (in module polynomials_on_simplices.polynomial.code_generation.generate_barycentric_polynomial_functions_simplex)
generate_docstring() (in module polynomials_on_simplices.polynomial.code_generation.generate_polynomial_functions)
generate_function_eval_general_scalar_valued() (in module polynomials_on_simplices.polynomial.code_generation.generate_lagrange_polynomial_functions_simplex)
generate_function_eval_specific_scalar_valued() (in module polynomials_on_simplices.polynomial.code_generation.generate_barycentric_polynomial_functions_simplex)
(in module polynomials_on_simplices.polynomial.code_generation.generate_lagrange_polynomial_functions_simplex)
(in module polynomials_on_simplices.polynomial.code_generation.generate_monomial_polynomial_functions)
generate_function_eval_specific_vector_valued() (in module polynomials_on_simplices.polynomial.code_generation.generate_barycentric_polynomial_functions_simplex)
(in module polynomials_on_simplices.polynomial.code_generation.generate_lagrange_polynomial_functions_simplex)
(in module polynomials_on_simplices.polynomial.code_generation.generate_monomial_polynomial_functions)
generate_function_general() (in module polynomials_on_simplices.polynomial.code_generation.generate_barycentric_polynomial_functions_simplex)
(in module polynomials_on_simplices.polynomial.code_generation.generate_lagrange_polynomial_functions_simplex)
(in module polynomials_on_simplices.polynomial.code_generation.generate_monomial_polynomial_functions)
generate_function_specific() (in module polynomials_on_simplices.polynomial.code_generation.generate_barycentric_polynomial_functions_simplex)
(in module polynomials_on_simplices.polynomial.code_generation.generate_lagrange_polynomial_functions_simplex)
(in module polynomials_on_simplices.polynomial.code_generation.generate_monomial_polynomial_functions)
generate_function_specific_name() (in module polynomials_on_simplices.polynomial.code_generation.generate_polynomial_functions)
generate_increasing_subset_permutations() (in module polynomials_on_simplices.algebra.permutations)
generate_inverse_local_to_global_map() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial)
generate_inverse_vector_valued_local_to_global_map() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial)
generate_lagrange_base_coefficients() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
generate_lagrange_basis() (in module polynomials_on_simplices.polynomial.code_generation.generate_lagrange_polynomial_functions_simplex)
generate_lagrange_basis_fn() (in module polynomials_on_simplices.polynomial.code_generation.generate_lagrange_polynomial_functions_simplex)
generate_lagrange_basis_fn_coefficients() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
generate_lagrange_point() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
generate_lagrange_point_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
generate_lagrange_points() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
generate_lagrange_points_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
generate_local_to_global_map() (ContinuousPiecewisePolynomialBase static method)
(PiecewisePolynomialBase static method)
(in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial)
(in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial)
generate_local_to_global_map_as_dictionaries() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial)
(in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial)
generate_local_to_global_preimage_map() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial)
generate_monomial_basis() (in module polynomials_on_simplices.polynomial.code_generation.generate_monomial_polynomial_functions)
generate_monomial_basis_fn() (in module polynomials_on_simplices.polynomial.code_generation.generate_monomial_polynomial_functions)
generate_multi_cap() (in module polynomials_on_simplices.algebra.multiindex)
generate_random_increasing_subset_permutation() (in module polynomials_on_simplices.algebra.permutations)
generate_random_permutation() (in module polynomials_on_simplices.algebra.permutations)
generate_random_subset_permutation() (in module polynomials_on_simplices.algebra.permutations)
generate_subset_permutations() (in module polynomials_on_simplices.algebra.permutations)
generate_vector_valued_local_to_global_map() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial)
(in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial)
generate_vector_valued_local_to_global_preimage_map() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial)
get_associated_sub_simplex() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
(in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
get_degree_from_dimension() (in module polynomials_on_simplices.polynomial.polynomials_base)
get_descendant_by_address() (in module polynomials_on_simplices.geometry.space_partitioning.tree_traversal)
get_dimension() (in module polynomials_on_simplices.polynomial.polynomials_base)
get_index() (in module polynomials_on_simplices.algebra.multiindex)
get_lagrange_base_coefficients() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
get_lagrange_basis_fn_coefficients() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
get_node_by_address() (in module polynomials_on_simplices.geometry.space_partitioning.tree_traversal)
get_num_vertices() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
get_scope() (CodeWriter method)
get_total_position() (Dial method)
get_unit_piecewise_polynomial_bernstein() (ContinuousPiecewisePolynomialBernstein static method)
(PiecewisePolynomialBernstein static method)
get_unit_piecewise_polynomial_lagrange() (ContinuousPiecewisePolynomialLagrange static method)
(PiecewisePolynomialLagrange static method)
gram_schmidt_orthonormalization() (in module polynomials_on_simplices.linalg.basis)
gram_schmidt_orthonormalization_rn() (in module polynomials_on_simplices.linalg.basis)
H
half_diagonal() (in module polynomials_on_simplices.geometry.proximity.aabb)
has_consistent_orientation() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
has_same_edge_orientation() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
has_same_orientation() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
has_vertex() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
hat() (in module polynomials_on_simplices.linalg.rotation)
I
identity() (in module polynomials_on_simplices.algebra.permutations)
in_closed_range() (in module polynomials_on_simplices.calculus.real_interval)
in_left_closed_range() (in module polynomials_on_simplices.calculus.real_interval)
in_node_space() (in module polynomials_on_simplices.geometry.space_partitioning.kd_tree)
in_open_range() (in module polynomials_on_simplices.calculus.real_interval)
in_right_closed_range() (in module polynomials_on_simplices.calculus.real_interval)
in_subspace() (in module polynomials_on_simplices.geometry.primitives.simplex)
in_triangleplane_coords() (in module polynomials_on_simplices.geometry.primitives.triangle)
inc_indent() (CodeWriter method)
incenter() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.primitives.triangle)
increasing_subset_permutations() (in module polynomials_on_simplices.algebra.permutations)
index() (Permutation method)
inradius() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.primitives.triangle)
inside_simplex() (in module polynomials_on_simplices.geometry.primitives.simplex)
inside_triangle() (in module polynomials_on_simplices.geometry.primitives.triangle)
IntegerModuloN (class in polynomials_on_simplices.algebra.modular_arithmetic)
intersection() (in module polynomials_on_simplices.geometry.proximity.aabb)
interval_projection() (in module polynomials_on_simplices.linalg.vector_space_projection)
inverse() (in module polynomials_on_simplices.algebra.permutations)
inverse_affine_transformation() (in module polynomials_on_simplices.calculus.affine_map)
inverse_metric_tensor() (in module polynomials_on_simplices.linalg.basis)
is_degenerate() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.primitives.triangle)
is_empty() (in module polynomials_on_simplices.geometry.proximity.aabb)
is_equal() (in module polynomials_on_simplices.geometry.proximity.aabb)
is_increasing() (in module polynomials_on_simplices.algebra.multiindex)
is_leaf() (KdTreeNode method)
is_nice_fraction() (in module polynomials_on_simplices.generic_tools.str_utils)
is_non_decreasing() (in module polynomials_on_simplices.algebra.multiindex)
is_parallel() (in module polynomials_on_simplices.calculus.angle)
is_root() (KdTreeNode method)
is_valid() (in module polynomials_on_simplices.geometry.proximity.aabb)
K
KdTreeNode (class in polynomials_on_simplices.geometry.space_partitioning.kd_tree)
KdTreeSMNode (class in polynomials_on_simplices.geometry.space_partitioning.kd_mesh_tree.simplicial_mesh_kd_tree)
L
lagrange_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
lagrange_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
lagrange_basis_fn_latex() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
lagrange_basis_fn_latex_compact() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
lagrange_basis_fn_monomial() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
lagrange_basis_fn_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
lagrange_basis_fn_simplex_latex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
lagrange_basis_fn_simplex_monomial() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
lagrange_basis_latex() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
lagrange_basis_latex_compact() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
lagrange_basis_monomial() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
lagrange_basis_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
lagrange_basis_simplex_latex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
lagrange_basis_simplex_monomial() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
latex_str() (Polynomial method)
(PolynomialBase method)
(PolynomialBernstein method)
(PolynomialBernsteinSimplex method)
(PolynomialLagrange method)
(PolynomialLagrangeSimplex method)
latex_str_expanded() (PolynomialBernstein method)
(PolynomialBernsteinSimplex method)
(PolynomialLagrange method)
(PolynomialLagrangeSimplex method)
left_closed_interval_sample() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
left_closed_unit_interval_sampling() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
local_coordinates() (in module polynomials_on_simplices.geometry.primitives.simplex)
M
mean() (in module polynomials_on_simplices.geometry.mesh.point_clouds)
median() (in module polynomials_on_simplices.geometry.mesh.point_clouds)
medians() (in module polynomials_on_simplices.geometry.primitives.triangle)
medians_2() (in module polynomials_on_simplices.geometry.primitives.triangle)
metric_tensor() (in module polynomials_on_simplices.linalg.basis)
midpoint() (in module polynomials_on_simplices.geometry.proximity.aabb)
monomial_basis() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
monomial_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
monomial_basis_fn_latex() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
monomial_basis_fn_latex_compact() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
monomial_basis_latex() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
monomial_basis_latex_compact() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
move() (in module polynomials_on_simplices.linalg.rigid_motion)
MultiIndex (class in polynomials_on_simplices.algebra.multiindex)
MultiIndexIterator (class in polynomials_on_simplices.algebra.multiindex)
MultiIndexIteratorMultiCap (class in polynomials_on_simplices.algebra.multiindex)
multinom() (in module polynomials_on_simplices.algebra.multiindex)
multinom_general() (in module polynomials_on_simplices.algebra.multiindex)
multiply_with_constant() (PiecewisePolynomialBase method)
(PolynomialBase method)
(PolynomialSimplexBase method)
N
ncube_sampling() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
neighbour() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
next() (MultiIndexIterator method)
(MultiIndexIteratorMultiCap method)
nfold_cartesian_product() (in module polynomials_on_simplices.set_theory)
node_aabb() (in module polynomials_on_simplices.geometry.space_partitioning.kd_tree)
norm() (in module polynomials_on_simplices.algebra.multiindex)
normal() (in module polynomials_on_simplices.geometry.primitives.triangle)
normalize_trilinear_coordinates() (in module polynomials_on_simplices.geometry.primitives.triangle)
normals() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
nsimplex_sampling() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
nsphere_sampling() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
nsphere_surface_sampling() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
num_fixed_points() (in module polynomials_on_simplices.algebra.permutations)
num_increasing_subset_permutations() (in module polynomials_on_simplices.algebra.permutations)
num_multiindices() (in module polynomials_on_simplices.algebra.multiindex)
num_permutations() (in module polynomials_on_simplices.algebra.permutations)
num_simplex_boundary_simplices() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
num_simplex_vertices() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
num_subset_permutations() (in module polynomials_on_simplices.algebra.permutations)
O
offset_triangulation_vertices() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes)
open_unit_interval_sample() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
open_unit_interval_sampling() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
opposite_sub_simplex() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
opposite_vertex() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
orientation() (in module polynomials_on_simplices.geometry.primitives.simplex)
orthocenter() (in module polynomials_on_simplices.geometry.primitives.triangle)
orthogonal_vector() (in module polynomials_on_simplices.calculus.angle)
orthonormal_basis() (in module polynomials_on_simplices.geometry.primitives.simplex)
orthonormal_frame() (in module polynomials_on_simplices.calculus.angle)
P
partial_derivative() (Polynomial method)
(PolynomialBase method)
(PolynomialBernstein method)
(PolynomialBernsteinSimplex method)
(PolynomialLagrange method)
(PolynomialLagrangeSimplex method)
perimeter() (in module polynomials_on_simplices.geometry.primitives.triangle)
Permutation (class in polynomials_on_simplices.algebra.permutations)
permutation_matrix_positions() (in module polynomials_on_simplices.algebra.permutations)
permutation_matrix_values() (in module polynomials_on_simplices.algebra.permutations)
permutations() (in module polynomials_on_simplices.algebra.permutations)
permute_positions() (in module polynomials_on_simplices.algebra.permutations)
permute_values() (in module polynomials_on_simplices.algebra.permutations)
piecewise_polynomial_bernstein_basis() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_bernstein_basis)
piecewise_polynomial_bernstein_basis_fn() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_bernstein_basis)
piecewise_polynomial_lagrange_basis() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_lagrange_basis)
piecewise_polynomial_lagrange_basis_fn() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_lagrange_basis)
piecewise_polynomials_equal() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial)
PiecewisePolynomialBase (class in polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial)
PiecewisePolynomialBernstein (class in polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_bernstein_basis)
PiecewisePolynomialLagrange (class in polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_lagrange_basis)
plot_bivariate_continuous_piecewise_polynomial() (in module polynomials_on_simplices.piecewise_polynomial.plot_continuous_piecewise_polynomial)
plot_bivariate_function() (in module polynomials_on_simplices.calculus.plot_function)
plot_bivariate_piecewise_polynomial() (in module polynomials_on_simplices.piecewise_polynomial.plot_piecewise_polynomial)
plot_curve() (in module polynomials_on_simplices.calculus.plot_function)
(in module polynomials_on_simplices.visualization.plot_lines)
plot_function() (in module polynomials_on_simplices.calculus.plot_function)
plot_plane_curve() (in module polynomials_on_simplices.visualization.plot_lines)
plot_space_curve() (in module polynomials_on_simplices.visualization.plot_lines)
plot_triangle_mesh() (in module polynomials_on_simplices.visualization.plot_triangles)
plot_triangle_mesh_2d() (in module polynomials_on_simplices.visualization.plot_triangles)
plot_triangle_mesh_3d() (in module polynomials_on_simplices.visualization.plot_triangles)
plot_triangle_mesh_wireframe() (in module polynomials_on_simplices.visualization.plot_triangles)
plot_triangle_mesh_wireframe_2d() (in module polynomials_on_simplices.visualization.plot_triangles)
plot_triangle_mesh_wireframe_3d() (in module polynomials_on_simplices.visualization.plot_triangles)
plot_univariate_piecewise_polynomial() (in module polynomials_on_simplices.piecewise_polynomial.plot_piecewise_polynomial)
point_inside() (in module polynomials_on_simplices.geometry.proximity.aabb)
Polynomial (class in polynomials_on_simplices.polynomial.polynomials_monomial_basis)
polynomial_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
polynomial_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
polynomial_basis_fn_latex() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
polynomial_basis_fn_latex_compact() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
polynomial_basis_latex() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
polynomial_basis_latex_compact() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
PolynomialBase (class in polynomials_on_simplices.polynomial.polynomials_base)
PolynomialBernstein (class in polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
PolynomialBernsteinSimplex (class in polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
PolynomialComponentsIterator (class in polynomials_on_simplices.polynomial.polynomials_base)
PolynomialLagrange (class in polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
PolynomialLagrangeSimplex (class in polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
polynomials_equal() (in module polynomials_on_simplices.polynomial.polynomials_base)
polynomials_equal_on_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_base)
polynomials_on_simplices (module)
polynomials_on_simplices.algebra (module)
polynomials_on_simplices.algebra.algebraic_operations (module)
polynomials_on_simplices.algebra.modular_arithmetic (module)
polynomials_on_simplices.algebra.multiindex (module)
polynomials_on_simplices.algebra.multiindex_order_cache (module)
polynomials_on_simplices.algebra.permutations (module)
polynomials_on_simplices.calculus (module)
polynomials_on_simplices.calculus.affine_map (module)
polynomials_on_simplices.calculus.angle (module)
polynomials_on_simplices.calculus.error_measures (module)
polynomials_on_simplices.calculus.finite_difference (module)
polynomials_on_simplices.calculus.plot_function (module)
polynomials_on_simplices.calculus.quadrature (module)
polynomials_on_simplices.calculus.real_interval (module)
polynomials_on_simplices.generic_tools (module)
polynomials_on_simplices.generic_tools.code_generation_utils (module)
polynomials_on_simplices.generic_tools.package_utils (module)
polynomials_on_simplices.generic_tools.str_utils (module)
polynomials_on_simplices.geometry (module)
polynomials_on_simplices.geometry.mesh (module)
polynomials_on_simplices.geometry.mesh.basic_meshes (module)
polynomials_on_simplices.geometry.mesh.basic_meshes.tet_meshes (module)
polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes (module)
polynomials_on_simplices.geometry.mesh.point_clouds (module)
polynomials_on_simplices.geometry.mesh.simplicial_complex (module)
polynomials_on_simplices.geometry.mesh.triangle_mesh (module)
polynomials_on_simplices.geometry.primitives (module)
polynomials_on_simplices.geometry.primitives.simplex (module)
polynomials_on_simplices.geometry.primitives.triangle (module)
polynomials_on_simplices.geometry.proximity (module)
polynomials_on_simplices.geometry.proximity.aabb (module)
polynomials_on_simplices.geometry.space_partitioning (module)
polynomials_on_simplices.geometry.space_partitioning.kd_mesh_tree (module)
polynomials_on_simplices.geometry.space_partitioning.kd_mesh_tree.simplicial_mesh_kd_tree (module)
polynomials_on_simplices.geometry.space_partitioning.kd_tree (module)
polynomials_on_simplices.geometry.space_partitioning.tree_traversal (module)
polynomials_on_simplices.linalg (module)
polynomials_on_simplices.linalg.basis (module)
polynomials_on_simplices.linalg.rigid_motion (module)
polynomials_on_simplices.linalg.rotation (module)
polynomials_on_simplices.linalg.vector_space_projection (module)
polynomials_on_simplices.piecewise_polynomial (module)
polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial (module)
polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_bernstein_basis (module)
polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_lagrange_basis (module)
polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial (module)
polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_bernstein_basis (module)
polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_lagrange_basis (module)
polynomials_on_simplices.piecewise_polynomial.plot_continuous_piecewise_polynomial (module)
polynomials_on_simplices.piecewise_polynomial.plot_piecewise_polynomial (module)
polynomials_on_simplices.polynomial (module)
polynomials_on_simplices.polynomial.code_generation (module)
polynomials_on_simplices.polynomial.code_generation.generate_barycentric_polynomial_functions_simplex (module)
polynomials_on_simplices.polynomial.code_generation.generate_lagrange_coefficients_unit_simplex_cache (module)
polynomials_on_simplices.polynomial.code_generation.generate_lagrange_polynomial_functions_simplex (module)
polynomials_on_simplices.polynomial.code_generation.generate_monomial_polynomial_functions (module)
polynomials_on_simplices.polynomial.code_generation.generate_polynomial_functions (module)
polynomials_on_simplices.polynomial.polynomials_base (module)
polynomials_on_simplices.polynomial.polynomials_monomial_basis (module)
polynomials_on_simplices.polynomial.polynomials_simplex_base (module)
polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis (module)
polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis (module)
polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases (module)
polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis (module)
polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis (module)
polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis_cache (module)
polynomials_on_simplices.probability_theory (module)
polynomials_on_simplices.probability_theory.uniform_sampling (module)
polynomials_on_simplices.set_theory (module)
polynomials_on_simplices.sort_imports (module)
polynomials_on_simplices.visualization (module)
polynomials_on_simplices.visualization.plot_lines (module)
polynomials_on_simplices.visualization.plot_triangles (module)
PolynomialSimplexBase (class in polynomials_on_simplices.polynomial.polynomials_simplex_base)
pop_first_line() (CodeWriter method)
pop_scope() (CodeWriter method)
power() (in module polynomials_on_simplices.algebra.multiindex)
principal_component_axis() (in module polynomials_on_simplices.geometry.mesh.point_clouds)
print_trace() (CodeWriter method)
pseudoinverse_affine_transformation() (in module polynomials_on_simplices.calculus.affine_map)
push_scope() (CodeWriter method)
Q
quadrature_interval() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_interval_fixed() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_tetrahedron() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_tetrahedron_fixed() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_tetrahedron_midpoint_rule() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_triangle() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_triangle_fixed() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_triangle_midpoint_rule() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_unit_interval() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_unit_interval_fixed() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_unit_tetrahedron() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_unit_tetrahedron_fixed() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_unit_triangle() (in module polynomials_on_simplices.calculus.quadrature)
quadrature_unit_triangle_fixed() (in module polynomials_on_simplices.calculus.quadrature)
R
radians_to_degrees() (in module polynomials_on_simplices.calculus.angle)
random_multiindex() (in module polynomials_on_simplices.algebra.multiindex)
random_rigid_motion() (in module polynomials_on_simplices.linalg.rigid_motion)
random_rotation_matrix_2() (in module polynomials_on_simplices.linalg.rotation)
random_rotation_matrix_3() (in module polynomials_on_simplices.linalg.rotation)
rectangle_triangulation() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes)
rectangle_vertices() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes)
rectangular_box_triangulation() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.tet_meshes)
recurse() (KdTreeNode method)
relative_error() (in module polynomials_on_simplices.calculus.error_measures)
relative_error_symmetric() (in module polynomials_on_simplices.calculus.error_measures)
reset() (CodeWriter method)
restrict_to_simplex() (PiecewisePolynomialBase method)
(PiecewisePolynomialBernstein method)
(PiecewisePolynomialLagrange method)
right_closed_interval_sample() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
right_closed_unit_interval_sampling() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
rodrigues_formula() (in module polynomials_on_simplices.linalg.rotation)
rodrigues_formula_matrix() (in module polynomials_on_simplices.linalg.rotation)
rotate() (in module polynomials_on_simplices.linalg.rotation)
rotation_matrix_to_axis_angle() (in module polynomials_on_simplices.linalg.rotation)
S
second_central_difference() (in module polynomials_on_simplices.calculus.finite_difference)
second_forward_difference() (in module polynomials_on_simplices.calculus.finite_difference)
sibling() (KdTreeNode method)
sibling_index() (KdTreeNode method)
side_distances_to_trilinear() (in module polynomials_on_simplices.geometry.primitives.triangle)
sign() (in module polynomials_on_simplices.algebra.permutations)
signed_volume() (in module polynomials_on_simplices.geometry.primitives.simplex)
simplex_boundary() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
simplex_boundary_map() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
simplex_boundary_orientation() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
simplex_dimension() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
simplex_sub_simplices() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
simplex_sub_simplices_fixed_dimension() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
simplex_vertices() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
(PolynomialSimplexBase method)
sort_imports() (in module polynomials_on_simplices.sort_imports)
source_file_paths() (in module polynomials_on_simplices.generic_tools.package_utils)
split_long_str() (in module polynomials_on_simplices.generic_tools.str_utils)
str_dot_product() (in module polynomials_on_simplices.generic_tools.str_utils)
str_exponent() (in module polynomials_on_simplices.generic_tools.str_utils)
str_multi_product() (in module polynomials_on_simplices.generic_tools.str_utils)
str_multi_sum() (in module polynomials_on_simplices.generic_tools.str_utils)
str_number() (in module polynomials_on_simplices.generic_tools.str_utils)
str_number_array() (in module polynomials_on_simplices.generic_tools.str_utils)
str_product() (in module polynomials_on_simplices.generic_tools.str_utils)
str_sequence() (in module polynomials_on_simplices.generic_tools.str_utils)
str_sum() (in module polynomials_on_simplices.generic_tools.str_utils)
sub_simplex() (in module polynomials_on_simplices.geometry.primitives.simplex)
subdivide() (KdTreeNode method)
(KdTreeSMNode method)
submodule_paths() (in module polynomials_on_simplices.generic_tools.package_utils)
submodules() (in module polynomials_on_simplices.generic_tools.package_utils)
subpackage_paths() (in module polynomials_on_simplices.generic_tools.package_utils)
subset_permutations() (in module polynomials_on_simplices.algebra.permutations)
subspace_projection_map() (in module polynomials_on_simplices.linalg.vector_space_projection)
subspace_projection_transformation() (in module polynomials_on_simplices.linalg.vector_space_projection)
support() (PiecewisePolynomialBase method)
swap() (in module polynomials_on_simplices.algebra.permutations)
swap_orientation() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
(in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
swap_simplex_orientation() (in module polynomials_on_simplices.geometry.mesh.simplicial_complex)
T
target_dimension() (PiecewisePolynomialBase method)
(PolynomialBase method)
tetrahedron_triangulation() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.tet_meshes)
tetrahedron_vertices() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.tet_meshes)
to_centered_angle_interval() (in module polynomials_on_simplices.calculus.angle)
to_cycle_notation() (in module polynomials_on_simplices.algebra.permutations)
to_monomial_basis() (Polynomial method)
(PolynomialBase method)
(PolynomialBernstein method)
(PolynomialBernsteinSimplex method)
(PolynomialLagrange method)
(PolynomialLagrangeSimplex method)
to_one_based() (in module polynomials_on_simplices.algebra.permutations)
to_positive_angle_interval() (in module polynomials_on_simplices.calculus.angle)
to_transpositions() (in module polynomials_on_simplices.algebra.permutations)
to_tuple() (MultiIndex method)
(Permutation method)
to_two_line_notation() (in module polynomials_on_simplices.algebra.permutations)
transform() (in module polynomials_on_simplices.linalg.basis)
transform_bilinear_form() (in module polynomials_on_simplices.linalg.basis)
transform_from_basis() (in module polynomials_on_simplices.linalg.basis)
transform_to_basis() (in module polynomials_on_simplices.linalg.basis)
translate() (in module polynomials_on_simplices.linalg.rigid_motion)
triangle_mesh_triangulation() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes)
triangle_mesh_vertices() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes)
triangle_triangulation() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes)
triangle_vertices() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes)
trilinear_to_barycentric() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.primitives.triangle)
trilinear_to_side_distances() (in module polynomials_on_simplices.geometry.primitives.triangle)
U
union() (in module polynomials_on_simplices.geometry.proximity.aabb)
unique_identifier_bernstein_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
unique_identifier_bernstein_basis_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
unique_identifier_lagrange_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
unique_identifier_lagrange_basis_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
unique_identifier_monomial_basis() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
unit() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.proximity.aabb)
unit_circle_sampling() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
unit_continuous_piecewise_polynomial_bernstein() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_bernstein_basis)
unit_continuous_piecewise_polynomial_lagrange() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_lagrange_basis)
unit_cube_vertices() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.tet_meshes)
unit_disc_sampling() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
unit_interval_sampling() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
unit_multiindex() (in module polynomials_on_simplices.algebra.multiindex)
unit_piecewise_polynomial_bernstein() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_bernstein_basis)
unit_piecewise_polynomial_lagrange() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_lagrange_basis)
unit_polynomial() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
(in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
(in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
unit_polynomial_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
(in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
unit_square_sampling() (in module polynomials_on_simplices.probability_theory.uniform_sampling)
unit_square_vertices() (in module polynomials_on_simplices.geometry.mesh.basic_meshes.triangle_meshes)
update_position() (Dial method)
V
vector_oblique_projection_2() (in module polynomials_on_simplices.linalg.vector_space_projection)
vector_plane_projection() (in module polynomials_on_simplices.linalg.vector_space_projection)
vector_projection() (in module polynomials_on_simplices.linalg.vector_space_projection)
vector_rejection() (in module polynomials_on_simplices.linalg.vector_space_projection)
vector_valued_bernstein_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
vector_valued_bernstein_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
vector_valued_bernstein_basis_fn_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
vector_valued_bernstein_basis_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
vector_valued_lagrange_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
vector_valued_lagrange_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
vector_valued_lagrange_basis_fn_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
vector_valued_lagrange_basis_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
vector_valued_monomial_basis() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
vector_valued_monomial_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
vector_valued_polynomial_basis() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
vector_valued_polynomial_basis_fn() (in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bases)
verbatim() (CodeWriter method)
vertex_normals() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
vertex_normals_cotangent() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
vertex_position() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
vertices() (in module polynomials_on_simplices.geometry.mesh.triangle_mesh)
volume() (in module polynomials_on_simplices.geometry.primitives.simplex)
(in module polynomials_on_simplices.geometry.proximity.aabb)
volume_unit() (in module polynomials_on_simplices.geometry.primitives.simplex)
W
wc() (CodeWriter method)
weak_partial_derivative() (ContinuousPiecewisePolynomialBase method)
(ContinuousPiecewisePolynomialBernstein method)
(ContinuousPiecewisePolynomialLagrange method)
wl() (CodeWriter method)
ws() (CodeWriter method)
Z
zero_continuous_piecewise_polynomial_bernstein() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_bernstein_basis)
zero_continuous_piecewise_polynomial_lagrange() (in module polynomials_on_simplices.piecewise_polynomial.continuous_piecewise_polynomial_lagrange_basis)
zero_multiindex() (in module polynomials_on_simplices.algebra.multiindex)
zero_piecewise_polynomial_bernstein() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_bernstein_basis)
zero_piecewise_polynomial_lagrange() (in module polynomials_on_simplices.piecewise_polynomial.piecewise_polynomial_lagrange_basis)
zero_polynomial() (in module polynomials_on_simplices.polynomial.polynomials_monomial_basis)
(in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_bernstein_basis)
(in module polynomials_on_simplices.polynomial.polynomials_unit_simplex_lagrange_basis)
zero_polynomial_simplex() (in module polynomials_on_simplices.polynomial.polynomials_simplex_bernstein_basis)
(in module polynomials_on_simplices.polynomial.polynomials_simplex_lagrange_basis)
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