def lexicographic_node_tuples(self):
"""Generate tuples enumerating the node indices present
in this element. Each tuple has a length equal to the dimension
of the element. The tuples constituents are non-negative integers
whose sum is less than or equal to the order of the element.
"""
from pytools import \
generate_nonnegative_integer_tuples_below
result = list(
generate_nonnegative_integer_tuples_below(self.order + 1,
self.dimensions))
assert len(result) == self.node_count()
return result
def lexicographic_node_tuples(self):
"""Generate tuples enumerating the node indices present
in this element. Each tuple has a length equal to the dimension
of the element. The tuples constituents are non-negative integers
whose sum is less than or equal to the order of the element.
"""
from pytools import \
generate_nonnegative_integer_tuples_below
result = list(
generate_nonnegative_integer_tuples_below(
self.order+1, self.dimensions))
assert len(result) == self.node_count()
return result
def generate_quad_vertex_tuples(dim, order):
from pytools import \
generate_nonnegative_integer_tuples_below
for tup in generate_nonnegative_integer_tuples_below(2, dim):
yield tuple(order * i for i in tup)
def make_legendre_basis(dimensions):
from pytools import generate_nonnegative_integer_tuples_below
return [
TensorProductLegendreBasisFunc(n)
for n in generate_nonnegative_integer_tuples_below(dimensions)
]
def generate_quad_vertex_tuples(dim, order):
from pytools import \
generate_nonnegative_integer_tuples_below
for tup in generate_nonnegative_integer_tuples_below(2, dim):
yield tuple(order * i for i in tup)
def make_legendre_basis(dimensions):
from pytools import generate_nonnegative_integer_tuples_below
return [TensorProductLegendreBasisFunc(n)
for n in generate_nonnegative_integer_tuples_below(dimensions)]