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# -*- coding: utf-8 -*- | ||
# Copyright 2017-2020 The diffsims developers | ||
# | ||
# This file is part of diffsims. | ||
# | ||
# diffsims is free software: you can redistribute it and/or modify | ||
# it under the terms of the GNU General Public License as published by | ||
# the Free Software Foundation, either version 3 of the License, or | ||
# (at your option) any later version. | ||
# | ||
# diffsims is distributed in the hope that it will be useful, | ||
# but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
# GNU General Public License for more details. | ||
# | ||
# You should have received a copy of the GNU General Public License | ||
# along with diffsims. If not, see <http://www.gnu.org/licenses/>. | ||
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import numpy as np | ||
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def binary(excitation_error, max_excitation_error): | ||
""" | ||
Returns a unit intensity for all reflections | ||
Parameters | ||
---------- | ||
excitation_error : array-like or float | ||
The distance (reciprocal) from a reflection to the Ewald sphere | ||
max_excitation_error : float | ||
The distance at which a reflection becomes extinct | ||
Returns | ||
------- | ||
intensities : array-like or float | ||
""" | ||
return 1 | ||
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def linear(excitation_error, max_excitation_error): | ||
""" | ||
Returns an intensity linearly scaled with by the excitation error | ||
Parameters | ||
---------- | ||
excitation_error : array-like or float | ||
The distance (reciprocal) from a reflection to the Ewald sphere | ||
max_excitation_error : float | ||
The distance at which a reflection becomes extinct | ||
Returns | ||
------- | ||
intensities : array-like or float | ||
""" | ||
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return 1 - excitation_error / max_excitation_error | ||
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def sinc(excitation_error, max_excitation_error, minima_number=5): | ||
""" | ||
Returns an intensity with a sinc profile | ||
Parameters | ||
---------- | ||
excitation_error : array-like or float | ||
The distance (reciprocal) from a reflection to the Ewald sphere | ||
max_excitation_error : float | ||
The distance at which a reflection becomes extinct | ||
minima_number : int | ||
The minima_number'th minima lies at max_excitation_error from 0 | ||
Returns | ||
------- | ||
intensity : array-like or float | ||
""" | ||
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num = np.sin(np.pi * minima_number * excitation_error / max_excitation_error) | ||
denom = excitation_error | ||
return np.abs(np.divide(num, denom, out=np.zeros_like(num), where=denom != 0)) |