75 lines
2.0 KiB
Python
75 lines
2.0 KiB
Python
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from packaging.version import Version, parse
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import numpy as np
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import scipy
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SP_VERSION = parse(scipy.__version__)
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SP_LT_15 = SP_VERSION < Version("1.4.99")
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SCIPY_GT_14 = not SP_LT_15
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SP_LT_16 = SP_VERSION < Version("1.5.99")
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SP_LT_17 = SP_VERSION < Version("1.6.99")
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SP_LT_19 = SP_VERSION < Version("1.8.99")
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def _next_regular(target):
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"""
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Find the next regular number greater than or equal to target.
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Regular numbers are composites of the prime factors 2, 3, and 5.
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Also known as 5-smooth numbers or Hamming numbers, these are the optimal
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size for inputs to FFTPACK.
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Target must be a positive integer.
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"""
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if target <= 6:
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return target
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# Quickly check if it's already a power of 2
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if not (target & (target - 1)):
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return target
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match = float("inf") # Anything found will be smaller
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p5 = 1
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while p5 < target:
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p35 = p5
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while p35 < target:
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# Ceiling integer division, avoiding conversion to float
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# (quotient = ceil(target / p35))
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quotient = -(-target // p35)
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# Quickly find next power of 2 >= quotient
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p2 = 2 ** ((quotient - 1).bit_length())
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N = p2 * p35
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if N == target:
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return N
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elif N < match:
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match = N
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p35 *= 3
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if p35 == target:
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return p35
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if p35 < match:
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match = p35
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p5 *= 5
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if p5 == target:
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return p5
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if p5 < match:
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match = p5
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return match
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def _valarray(shape, value=np.nan, typecode=None):
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"""Return an array of all value."""
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out = np.ones(shape, dtype=bool) * value
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if typecode is not None:
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out = out.astype(typecode)
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if not isinstance(out, np.ndarray):
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out = np.asarray(out)
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return out
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if SP_LT_16:
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# copied from scipy, added to scipy in 1.6.0
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from ._scipy_multivariate_t import multivariate_t # noqa: F401
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else:
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from scipy.stats import multivariate_t # noqa: F401
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