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23 changes: 23 additions & 0 deletions news/d-q.rst
Original file line number Diff line number Diff line change
@@ -0,0 +1,23 @@
**Added:**

* functions to convert between d and q

**Changed:**

* <news item>

**Deprecated:**

* <news item>

**Removed:**

* <news item>

**Fixed:**

* <news item>

**Security:**

* <news item>
56 changes: 44 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."
)
inf_output_wmsg = (
"INFO: The largest d-value in the array is infinite. This is allowed, but it will not be plotted."
)


def _validate_inputs(q, wavelength):
Expand Down Expand Up @@ -58,7 +61,6 @@ 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
"""
_validate_inputs(q, wavelength)
q.astype(float)
Expand Down Expand Up @@ -92,21 +94,18 @@ 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
"""
tth.astype(float)
if np.any(np.deg2rad(tth) > np.pi):
Expand All @@ -116,22 +115,55 @@ def tth_to_q(tth, wavelength):
pre_factor = (4.0 * np.pi) / wavelength
q = pre_factor * np.sin(np.deg2rad(tth / 2))
else: # return intensities vs. an x-array that is just the index
warnings.warn(wavelength_warning_emsg, UserWarning)
for i, _ in enumerate(q):
q[i] = i
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:
print(inf_output_wmsg)
return 2.0 * np.pi / copy(q)


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:
warnings.warn(inf_output_wmsg)
return 2.0 * np.pi / copy(d)


def d_to_tth(darray, wavelength):
Expand Down
38 changes: 36 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 +96,37 @@ 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([5 * np.pi, 4 * np.pi, 3 * np.pi, 2 * np.pi, np.pi, 0])],
np.array([0.4, 0.5, 0.66667, 1, 2, np.inf]),
),
]


@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_d_to_q = [
# UC1: User specified empty d values
([np.array([])], np.array([])),
# UC2: User specified valid d values
(
[np.array([0, 1 * np.pi, 2 * np.pi, 3 * np.pi, 4 * np.pi, 5 * np.pi])],
np.array([np.inf, 2, 1, 0.66667, 0.5, 0.4]),
),
]


@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)
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