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57 changes: 45 additions & 12 deletions src/diffpy/utils/transforms.py
Original file line number Diff line number Diff line change
Expand Up @@ -16,6 +16,9 @@
"The supplied q-array and wavelength will result in an impossible two-theta. "
"Please check these values and re-instantiate the DiffractionObject with correct values."
)
invalid_input_emsg = (
"Input values have resulted in an infinite output. Please ensure there are no zeros in the input."
)


def _validate_inputs(q, wavelength):
Expand Down Expand Up @@ -58,7 +61,7 @@ def q_to_tth(q, wavelength):
-------
tth : 1D array
The array of :math:`2\theta` values in degrees numpy.array([tths]).
This is the correct format for loading into diffpy.utils.DiffractionOject.on_tth
This is the correct format for loading into diffpy.utils.DiffractionObject.on_tth.
"""
_validate_inputs(q, wavelength)
q.astype(float)
Expand Down Expand Up @@ -92,21 +95,19 @@ def tth_to_q(tth, wavelength):

Parameters
----------
tth : 2D array
The array of :math:`2\theta` values and :math: 'i' intensity values, np.array([[tths], [is]]).
This is the same format as, and so can accept, diffpy.utils.DiffractionOject.on_tth
tth : 1D array
The array of :math:`2\theta` values np.array([tths]).
The units of tth are expected in degrees.

wavelength : float
Wavelength of the incoming x-rays/neutrons/electrons

Returns
-------
on_q : 2D array
The array of :math:`q` values and :math: 'i' intensity values unchanged,
np.array([[qs], [is]]).
q : 1D array
The array of :math:`q` values np.array([qs]).
The units for the q-values are the inverse of the units of the provided wavelength.
This is the correct format for loading into diffpy.utils.DiffractionOject.on_q
This is the correct format for loading into diffpy.utils.DiffractionObject.on_q.
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delete, as discussed.

"""
tth.astype(float)
if np.any(np.deg2rad(tth) > np.pi):
Expand All @@ -121,17 +122,49 @@ def tth_to_q(tth, wavelength):
return q


def q_to_d(qarray):
return 2.0 * np.pi / copy(qarray)
def q_to_d(q):
r"""
Helper function to convert q to d on independent variable axis, using :math:`d = \frac{2 \pi}{q}`.

Parameters
----------
q : 1D array
The array of :math:`q` values np.array([qs]).
The units of q must be reciprocal of the units of wavelength.

Returns
-------
d : 1D array
The array of :math:`d` values np.array([ds]).
"""
if 0 in q:
raise ValueError(invalid_input_emsg)
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just make this np.inf but also give a warning message that the largest d is infinite and can't be plotted? Something like that?

return 2.0 * np.pi / copy(q)[::-1]


def tth_to_d(ttharray, wavelength):
qarray = tth_to_q(ttharray, wavelength)
return 2.0 * np.pi / copy(qarray)


def d_to_q(darray):
return 2.0 * np.pi / copy(darray)
def d_to_q(d):
r"""
Helper function to convert q to d using :math:`d = \frac{2 \pi}{q}`.

Parameters
----------
d : 1D array
The array of :math:`d` values np.array([ds]).

Returns
-------
q : 1D array
The array of :math:`q` values np.array([qs]).
The units of q must be reciprocal of the units of wavelength.
"""
if 0 in d:
raise ValueError(invalid_input_emsg)
return 2.0 * np.pi / copy(d)[::-1]


def d_to_tth(darray, wavelength):
Expand Down
74 changes: 72 additions & 2 deletions tests/test_transforms.py
Original file line number Diff line number Diff line change
@@ -1,7 +1,7 @@
import numpy as np
import pytest

from diffpy.utils.transforms import q_to_tth, tth_to_q
from diffpy.utils.transforms import d_to_q, q_to_d, q_to_tth, tth_to_q

params_q_to_tth = [
# UC1: Empty q values, no wavelength, return empty arrays
Expand Down Expand Up @@ -64,7 +64,7 @@ def test_q_to_tth_bad(inputs, expected):
np.array([0, 1, 2, 3, 4, 5]),
),
# UC3: User specified valid tth values between 0-180 degrees (with wavelength)
# expected q vales are sin15, sin30, sin45, sin60, sin90
# expected q values are sin15, sin30, sin45, sin60, sin90
(
[4 * np.pi, np.array([0, 30.0, 60.0, 90.0, 120.0, 180.0])],
np.array([0, 0.258819, 0.5, 0.707107, 0.866025, 1]),
Expand Down Expand Up @@ -96,3 +96,73 @@ def test_tth_to_q(inputs, expected):
def test_tth_to_q_bad(inputs, expected):
with pytest.raises(expected[0], match=expected[1]):
tth_to_q(inputs[1], inputs[0])


params_q_to_d = [
# UC1: User specified empty q values
([np.array([])], np.array([])),
# UC2: User specified valid q values
(
[np.array([np.pi / 6, 1 * np.pi, 2 * np.pi, 3 * np.pi, 4 * np.pi, 5 * np.pi])],
np.array([0.4, 0.5, 0.66667, 1, 2, 12]),
),
]


@pytest.mark.parametrize("inputs, expected", params_q_to_d)
def test_q_to_d(inputs, expected):
actual = q_to_d(inputs[0])
assert np.allclose(actual, expected)


params_q_to_d_bad = [
# UC1: user specified an invalid q value that results in an infinite d value
(
[np.array([0, 1, 2, 3, 4])],
[
ValueError,
"Input values have resulted in an infinite output. Please ensure there are no zeros in the input.",
],
),
]


@pytest.mark.parametrize("inputs, expected", params_q_to_d_bad)
def test_q_to_d_bad(inputs, expected):
with pytest.raises(expected[0], match=expected[1]):
q_to_d(inputs[0])


params_d_to_q = [
# UC1: User specified empty d values
([np.array([])], np.array([])),
# UC2: User specified valid d values
(
[np.array([np.pi / 6, 1 * np.pi, 2 * np.pi, 3 * np.pi, 4 * np.pi, 5 * np.pi])],
np.array([0.4, 0.5, 0.66667, 1, 2, 12]),
),
]


@pytest.mark.parametrize("inputs, expected", params_d_to_q)
def test_d_to_q(inputs, expected):
actual = d_to_q(inputs[0])
assert np.allclose(actual, expected)


params_d_to_q_bad = [
# UC1: user specified an invalid d value that results in an infinite q value
(
[np.array([0, 1, 2, 3, 4])],
[
ValueError,
"Input values have resulted in an infinite output. Please ensure there are no zeros in the input.",
],
),
]


@pytest.mark.parametrize("inputs, expected", params_d_to_q_bad)
def test_d_to_q_bad(inputs, expected):
with pytest.raises(expected[0], match=expected[1]):
d_to_q(inputs[0])
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