Classes
class	Lagrange

class	ReferenceSimplex

Functions
	bernstein_space (order, nsd)

	create_point_set (order, nsd)

	create_matrix (equations, coeffs)

	parse_args ()

Variables
	x

	y

	z

	args = parse_args()

list	dims = [2, 3]

list	orders = [0, 1, 2, 3, 4]

str	bletter = "b" if args.bernstein else "p"

str	cpp = f"#include \"auto_{bletter}_bases.hpp\""

str	hpp = "#pragma once\n\n#include <Eigen/Dense>\n#include <cassert>\n"

str	suffix = 2 else "3d"

str	unique_nodes

str	unique_fun

str	dunique_fun

list	vertices = [[0, 0], [1, 0], [0, 1]]

	nbf

	N

	points

	fe = Lagrange(dim, order, args.bernstein)

	current_indices = list(range(0, len(fe.points)))

list	indices = []

list	vv = vertices[i]

int	norm = 0

	nn = max(0, order - 2)

	npts = int(nn * (nn + 1) / 2)

list	tmp = []

	reverse

str	nodes

str	func

str	dfunc

str	scalar_func_name = f"{bletter}_{order}_basis_value_{suffix}_single"

str	scalar_dfunc_name = f"{bletter}_{order}_basis_grad_value_{suffix}_single"

str	default_base = 3 else "p_n_basis_value_2d(p, local_index, uv, val);"

str	default_dbase = 3 else "p_n_basis_grad_value_2d(p, local_index, uv, val);"

str	default_nodes = 3 else "p_n_nodes_2d(p, val);"

str	base = ""

str	dbase = ""

str	base_cases = "switch(local_index){\n"

str	dbase_cases = "switch(local_index){\n"

list	real_index = indices[i]

str	value_name = f"{scalar_func_name}_{i}"

str	grad_name = f"{scalar_dfunc_name}_{i}"

	basis = simplify(fe.N[real_index])

	path = os.path.abspath(args.output)

Function Documentation

◆ bernstein_space()

p_bases.bernstein_space	(	order,
		nsd
	)

Definition at line 39 of file p_bases.py.

Referenced by p_bases.Lagrange.compute_basis().

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◆ create_matrix()

p_bases.create_matrix	(	equations,
		coeffs
	)

Definition at line 106 of file p_bases.py.

Referenced by p_bases.Lagrange.compute_basis().

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◆ create_point_set()

p_bases.create_point_set	(	order,
		nsd
	)

Definition at line 81 of file p_bases.py.

Referenced by p_bases.Lagrange.compute_basis().

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◆ parse_args()

p_bases.parse_args ( )

Definition at line 167 of file p_bases.py.

Variable Documentation

◆ args

p_bases.args = parse_args()

Definition at line 178 of file p_bases.py.

◆ base

str p_bases.base = ""

Definition at line 438 of file p_bases.py.

◆ base_cases

str p_bases.base_cases = "switch(local_index){\n"

Definition at line 441 of file p_bases.py.

◆ basis

p_bases.basis = simplify(fe.N[real_index])

Definition at line 448 of file p_bases.py.

◆ bletter

str p_bases.bletter = "b" if args.bernstein else "p"

Definition at line 185 of file p_bases.py.

◆ cpp

str p_bases.cpp = f"#include \"auto_{bletter}_bases.hpp\""

Definition at line 187 of file p_bases.py.

◆ current_indices

p_bases.current_indices = list(range(0, len(fe.points)))

Definition at line 258 of file p_bases.py.

◆ dbase

str p_bases.dbase = ""

Definition at line 439 of file p_bases.py.

◆ dbase_cases

str p_bases.dbase_cases = "switch(local_index){\n"

Definition at line 442 of file p_bases.py.

◆ default_base

str p_bases.default_base = 3 else "p_n_basis_value_2d(p, local_index, uv, val);"

Definition at line 433 of file p_bases.py.

◆ default_dbase

str p_bases.default_dbase = 3 else "p_n_basis_grad_value_2d(p, local_index, uv, val);"

Definition at line 434 of file p_bases.py.

◆ default_nodes

str p_bases.default_nodes = 3 else "p_n_nodes_2d(p, val);"

Definition at line 435 of file p_bases.py.

◆ dfunc

str p_bases.dfunc

Initial value:

1= f"void {bletter}_{order}_basis_grad_value_{suffix}" + \

2 "(const int local_index, const Eigen::MatrixXd &uv, Eigen::MatrixXd &val)"

Definition at line 419 of file p_bases.py.

◆ dims

list p_bases.dims = [2, 3]

Definition at line 180 of file p_bases.py.

◆ dunique_fun

str p_bases.dunique_fun

Initial value:

1= f"void {bletter}_grad_basis_value_{suffix}" + \

2 f"(const int {bletter}, const int local_index, const Eigen::MatrixXd &uv, Eigen::MatrixXd &val)"

Definition at line 209 of file p_bases.py.

◆ fe

p_bases.fe = Lagrange(dim, order, args.bernstein)

Definition at line 256 of file p_bases.py.

◆ func

str p_bases.func

Initial value:

1= f"void {bletter}_{order}_basis_value_{suffix}" + \

2 "(const int local_index, const Eigen::MatrixXd &uv, Eigen::MatrixXd &result_0)"

Definition at line 417 of file p_bases.py.

◆ grad_name

str p_bases.grad_name = f"{scalar_dfunc_name}_{i}"

Definition at line 447 of file p_bases.py.

◆ hpp

str p_bases.hpp = "#pragma once\n\n#include <Eigen/Dense>\n#include <cassert>\n"

Definition at line 194 of file p_bases.py.

◆ indices

list p_bases.indices = []

Definition at line 259 of file p_bases.py.

◆ N

p_bases.N

Definition at line 249 of file p_bases.py.

◆ nbf

p_bases.nbf

Definition at line 247 of file p_bases.py.

◆ nn

p_bases.nn = max(0, order - 2)

Definition at line 342 of file p_bases.py.

◆ nodes

str p_bases.nodes

Initial value:

1= f"void {bletter}_{order}_nodes_{suffix}(Eigen::MatrixXd &res) {{\n res.resize(" + str(

2 len(indices)) + ", " + str(dim) + "); res << \n"

Definition at line 399 of file p_bases.py.

◆ norm

int p_bases.norm = 0

Definition at line 265 of file p_bases.py.

◆ npts

p_bases.npts = int(nn * (nn + 1) / 2)

Definition at line 343 of file p_bases.py.

◆ orders

list p_bases.orders = [0, 1, 2, 3, 4]

Definition at line 182 of file p_bases.py.

◆ path

p_bases.path = os.path.abspath(args.output)

Definition at line 494 of file p_bases.py.

◆ points

p_bases.points

Definition at line 252 of file p_bases.py.

◆ real_index

list p_bases.real_index = indices[i]

Definition at line 445 of file p_bases.py.

◆ reverse

p_bases.reverse

Definition at line 391 of file p_bases.py.

◆ scalar_dfunc_name

str p_bases.scalar_dfunc_name = f"{bletter}_{order}_basis_grad_value_{suffix}_single"

Definition at line 422 of file p_bases.py.

◆ scalar_func_name

str p_bases.scalar_func_name = f"{bletter}_{order}_basis_value_{suffix}_single"

Definition at line 421 of file p_bases.py.

◆ suffix

str p_bases.suffix = 2 else "3d"

Definition at line 201 of file p_bases.py.

◆ tmp

list p_bases.tmp = []

Definition at line 366 of file p_bases.py.

◆ unique_fun

str p_bases.unique_fun

Initial value:

1= f"void {bletter}_basis_value_{suffix}" + \

2 f"(const int {bletter}, const int local_index, const Eigen::MatrixXd &uv, Eigen::MatrixXd &val)"

Definition at line 207 of file p_bases.py.

◆ unique_nodes

str p_bases.unique_nodes

Initial value:

1= f"void {bletter}_nodes_{suffix}" + \

2 f"(const int {bletter}, Eigen::MatrixXd &val)"

Definition at line 203 of file p_bases.py.

◆ value_name

str p_bases.value_name = f"{scalar_func_name}_{i}"

Definition at line 446 of file p_bases.py.

◆ vertices

list p_bases.vertices = [[0, 0], [1, 0], [0, 1]]

Definition at line 238 of file p_bases.py.

◆ vv

list p_bases.vv = vertices[i]

Definition at line 263 of file p_bases.py.

◆ x

p_bases.x

Definition at line 11 of file p_bases.py.

◆ y

p_bases.y

Definition at line 11 of file p_bases.py.

◆ z

p_bases.z

Definition at line 11 of file p_bases.py.

Classes

Functions

Variables

Function Documentation

◆ bernstein_space()

◆ create_matrix()

◆ create_point_set()

◆ parse_args()

Variable Documentation

◆ args

◆ base

◆ base_cases

◆ basis

◆ bletter

◆ cpp

◆ current_indices

◆ dbase

◆ dbase_cases

◆ default_base

◆ default_dbase

◆ default_nodes

◆ dfunc

◆ dims

◆ dunique_fun

◆ fe

◆ func

◆ grad_name

◆ hpp

◆ indices

◆ N

◆ nbf

◆ nn

◆ nodes

◆ norm

◆ npts

◆ orders

◆ path

◆ points

◆ real_index

◆ reverse

◆ scalar_dfunc_name

◆ scalar_func_name

◆ suffix

◆ tmp

◆ unique_fun

◆ unique_nodes

◆ value_name

◆ vertices

◆ vv

◆ x

◆ y

◆ z