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66c9c8a | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 | import warp as wp
from warp.fem.types import Coords, OUTSIDE
from warp.fem.geometry import Element
from warp.fem import cache
class ShapeFunction:
"""Interface class for defining scalar-valued shape functions over a single element"""
ORDER: int
"""Maximum degree of the polynomials used to define the shape function"""
NODES_PER_ELEMENT: int
"""Number of shape function nodes"""
@property
def name(self) -> str:
"""Unique name encoding all parameters defining the shape function"""
raise NotImplementedError()
def make_node_coords_in_element(self):
"""Creates a device function returning the coordinates of each node"""
raise NotImplementedError()
def make_node_quadrature_weight(self):
"""Creates a device function returning the weight of each node when use as a quadrature point over the element"""
raise NotImplementedError()
def make_trace_node_quadrature_weight(self):
"""Creates a device function returning the weight of each node when use as a quadrature point over the element boundary"""
raise NotImplementedError()
def make_element_inner_weight(self):
"""Creates a device function returning the value of the shape function associated to a given node at given coordinates"""
raise NotImplementedError()
def make_element_inner_weight_gradient(self):
"""Creates a device function returning the gradient of the shape function associated to a given node at given coordinates"""
raise NotImplementedError()
class ConstantShapeFunction:
"""Shape function that is constant over the element"""
def __init__(self, element: Element, space_dimension: int):
self._element = element
self._dimension = space_dimension
self.ORDER = wp.constant(0)
self.NODES_PER_ELEMENT = wp.constant(1)
coords, _ = element.instantiate_quadrature(order=0, family=None)
self.COORDS = wp.constant(coords[0])
@property
def name(self) -> str:
return f"{self._element.__class__.__name__}{self._dimension}"
def make_node_coords_in_element(self):
COORDS = self.COORDS
@cache.dynamic_func(suffix=self.name)
def node_coords_in_element(
node_index_in_elt: int,
):
return COORDS
return node_coords_in_element
@wp.func
def _node_quadrature_weight(
node_index_in_elt: int,
):
return 1.0
def make_node_quadrature_weight(self):
return ConstantShapeFunction._node_quadrature_weight
def make_trace_node_quadrature_weight(self):
return ConstantShapeFunction._node_quadrature_weight
@wp.func
def _element_inner_weight(
coords: Coords,
node_index_in_elt: int,
):
return 1.0
def make_element_inner_weight(self):
return ConstantShapeFunction._element_inner_weight
def make_element_inner_weight_gradient(self):
grad_type = wp.vec(length=self._dimension, dtype=float)
@cache.dynamic_func(suffix=self.name)
def element_inner_weight_gradient(
coords: Coords,
node_index_in_elt: int,
):
return grad_type(0.0)
return element_inner_weight_gradient
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