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"""
A sub-package for efficiently dealing with polynomials.
Within the documentation for this sub-package, a "finite power series,"
i.e., a polynomial (also referred to simply as a "series") is represented
by a 1-D numpy array of the polynomial's coefficients, ordered from lowest
order term to highest. For example, array([1,2,3]) represents
``P_0 + 2*P_1 + 3*P_2``, where P_n is the n-th order basis polynomial
applicable to the specific module in question, e.g., `polynomial` (which
"wraps" the "standard" basis) or `chebyshev`. For optimal performance,
all operations on polynomials, including evaluation at an argument, are
implemented as operations on the coefficients. Additional (module-specific)
information can be found in the docstring for the module of interest.
"""
from .polynomial import Polynomial
from .chebyshev import Chebyshev
from .legendre import Legendre
from .hermite import Hermite
from .hermite_e import HermiteE
from .laguerre import Laguerre
def set_default_printstyle(style):
"""
Set the default format for the string representation of polynomials.
Values for ``style`` must be valid inputs to ``__format__``, i.e. 'ascii'
or 'unicode'.
Parameters
----------
style : str
Format string for default printing style. Must be either 'ascii' or
'unicode'.
Notes
-----
The default format depends on the platform: 'unicode' is used on
Unix-based systems and 'ascii' on Windows. This determination is based on
default font support for the unicode superscript and subscript ranges.
Examples
--------
>>> p = np.polynomial.Polynomial([1, 2, 3])
>>> c = np.polynomial.Chebyshev([1, 2, 3])
>>> np.polynomial.set_default_printstyle('unicode')
>>> print(p)
1.0 + 2.0·x¹ + 3.0·x²
>>> print(c)
1.0 + 2.0·T₁(x) + 3.0·T₂(x)
>>> np.polynomial.set_default_printstyle('ascii')
>>> print(p)
1.0 + 2.0 x**1 + 3.0 x**2
>>> print(c)
1.0 + 2.0 T_1(x) + 3.0 T_2(x)
>>> # Formatting supercedes all class/package-level defaults
>>> print(f"{p:unicode}")
1.0 + 2.0·x¹ + 3.0·x²
"""
if style not in ('unicode', 'ascii'):
raise ValueError(
f"Unsupported format string '{style}'. Valid options are 'ascii' "
f"and 'unicode'"
)
_use_unicode = True
if style == 'ascii':
_use_unicode = False
from ._polybase import ABCPolyBase
ABCPolyBase._use_unicode = _use_unicode
from numpy._pytesttester import PytestTester
test = PytestTester(__name__)
del PytestTester
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