p_bases Namespace Reference

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	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 = "auto x=uv.col(0).array();\nauto y=uv.col(1).array();"
str	dbase = base
list	real_index = indices[i]
	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 = "auto x=uv.col(0).array();\nauto y=uv.col(1).array();"

Definition at line 428 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 257 of file p_bases.py.

dbase

str p_bases.dbase = base

Definition at line 432 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 424 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 425 of file p_bases.py.

default_nodes

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

Definition at line 426 of file p_bases.py.

dfunc

str p_bases.dfunc

Initial value:

=  f"void {bletter}_{order}_basis_grad_value_{suffix}" + \
                "(const int local_index, const Eigen::MatrixXd &uv, Eigen::MatrixXd &val)"

Definition at line 412 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:

=  f"void {bletter}_grad_basis_value_{suffix}" + \
                f"(const int {bletter}, const int local_index, const Eigen::MatrixXd &uv, Eigen::MatrixXd &val)"

Definition at line 208 of file p_bases.py.

fe

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

Definition at line 255 of file p_bases.py.

func

str p_bases.func

Initial value:

=  f"void {bletter}_{order}_basis_value_{suffix}" + \
                "(const int local_index, const Eigen::MatrixXd &uv, Eigen::MatrixXd &result_0)"

Definition at line 410 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 258 of file p_bases.py.

N

p_bases.N

Definition at line 248 of file p_bases.py.

nbf

p_bases.nbf

Definition at line 246 of file p_bases.py.

nn

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

Definition at line 341 of file p_bases.py.

nodes

str p_bases.nodes

Initial value:

=  f"void {bletter}_{order}_nodes_{suffix}(Eigen::MatrixXd &res) {{\n res.resize(" + str(
                len(indices)) + ", " + str(dim) + "); res << \n"

Definition at line 398 of file p_bases.py.

norm

int p_bases.norm = 0

Definition at line 264 of file p_bases.py.

npts

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

Definition at line 342 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 493 of file p_bases.py.

points

p_bases.points

Definition at line 251 of file p_bases.py.

real_index

list p_bases.real_index = indices[i]

Definition at line 443 of file p_bases.py.

reverse

p_bases.reverse

Definition at line 390 of file p_bases.py.

suffix

str p_bases.suffix = 2 else "3d"

Definition at line 200 of file p_bases.py.

tmp

list p_bases.tmp = []

Definition at line 365 of file p_bases.py.

unique_fun

str p_bases.unique_fun

Initial value:

=  f"void {bletter}_basis_value_{suffix}" + \
                f"(const int {bletter}, const int local_index, const Eigen::MatrixXd &uv, Eigen::MatrixXd &val)"

Definition at line 206 of file p_bases.py.

unique_nodes

str p_bases.unique_nodes

Initial value:

=  f"void {bletter}_nodes_{suffix}" + \
            f"(const int {bletter}, Eigen::MatrixXd &val)"

Definition at line 202 of file p_bases.py.

vertices

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

Definition at line 237 of file p_bases.py.

vv

list p_bases.vv = vertices[i]

Definition at line 262 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.