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# Copyright (C) 2023-2024 Matthew Scroggs and Garth N. Wells
#
# This file is part of Basix (https://www.fenicsproject.org)
#
# SPDX-License-Identifier: MIT
"""Functions to manipulate quadrature types."""
import numpy as _np
import numpy.typing as _npt
from basix._basixcpp import QuadratureType
from basix._basixcpp import make_quadrature as _mq
from basix._basixcpp import gauss_jacobi_rule as _gjr
from basix.cell import CellType
from basix.polynomials import PolysetType
__all__ = ["string_to_type", "make_quadrature"]
def string_to_type(rule: str) -> QuadratureType:
"""Convert a string to a Basix QuadratureType enum.
Args:
rule: Qquadrature rule as a string.
Returns:
The quadrature type.
"""
if rule == "default":
return QuadratureType.default
elif rule in ["Gauss-Lobatto-Legendre", "GLL"]:
return QuadratureType.gll
elif rule in ["Gauss-Legendre", "GL", "Gauss-Jacobi"]:
return QuadratureType.gauss_jacobi
elif rule == "Xiao-Gimbutas":
return QuadratureType.xiao_gimbutas
return QuadratureType[rule]
def make_quadrature(
cell: CellType,
degree: int,
rule: QuadratureType = QuadratureType.default,
polyset_type: PolysetType = PolysetType.standard,
) -> tuple[_npt.ArrayLike, _npt.ArrayLike]:
"""Create a quadrature rule.
Args:
cell: Cell type.
degree: Maximum polynomial degree that will be integrated
exactly.
rule: Quadrature rule.
polyset_type: Type of polynomial that will be integrated
exactly.
Returns:
Quadrature points and weights.
"""
return _mq(rule, cell, polyset_type, degree)
def gauss_jacobi_rule(
alpha: _np.floating,
npoints: int,
) -> tuple[_npt.ArrayLike, _npt.ArrayLike]:
"""Create a Gauss-Jacobi quadrature rule for integrating f(x)*(1-x)**alpha
on the interval [0, 1].
Args:
alpha: The exponent alpha
npoints: Number of points
Returns:
Quadrature points and weights.
"""
return _gjr(_np.float64(alpha), npoints)
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