def __init__(self, wavelength=None, energy=None, energy_eV=None, frequency=None):
if (
(wavelength is not None and energy is not None)
or (wavelength is not None and energy_eV is not None)
or (energy is not None and energy_eV is not None)
):
log_and_raise_error(
logger,
"Invalid arguments during initialisation of Photon instance. More than one of the arguments is not None.",
)
return
if wavelength is not None:
self.set_wavelength(wavelength)
elif energy is not None:
self.set_energy(energy)
elif energy_eV is not None:
self.set_energy_eV(energy_eV)
elif frequency is not None:
self.set_frequency(frequency)
else:
log_and_raise_error(
logger,
"Photon could not be initialised."
"It has to be initialized with exactly one of the following keyword arguments"
"\t- wavelegth:\t photon wavelength in meters"
"\t- energy:\t photon energy in Joules"
"\t- energy_eV:\t photon energy in electron volts"
"\t- frequency:\t photon frequency in Hertz",
)
def set_model(self, model):
"""
Set the model
Args:
:model (str): Model for the spatial illumination profile
*Choose one of the following options:*
- ``None`` - flat illumination profile of infinite extent and the intensity at every point corresponds to the intensity of a top hat profile (see below)
- ``\'top_hat\'`` - Circular top hat profile
- ``\'pseudo_lorentzian\'`` - 2D radially symmetrical profile composed of two Gaussian profiles obtained by a fit to a Lorentzian profile (used instead of a real Lorentzian because this function can be normalised)
- ``\'gaussian\'`` - 2D radially symmetrical Gaussian profile
"""
if model is None or model in [
"top_hat", "pseudo_lorentzian", "gaussian"
]:
self._model = model
else:
log_and_raise_error(
logger,
"Pulse profile model %s is not implemented. Change your configuration and try again."
% model)
sys.exit(0)
def __init__(self, values=None, formalism=None):
"""
"""
if values is None and formalism is None:
single = True
elif formalism.startswith("euler_angles_") and len(formalism) == len("euler_angles_xyz"):
values = numpy.asarray(values)
single = values.ndim == 1
elif formalism == "rotation_matrix":
values = numpy.asarray(values)
single = values.ndim == 2
elif formalism == "quaternion":
values = numpy.asarray(values)
single = values.ndim == 1
elif formalism in ["random","random_x","random_y","random_z"]:
single = True
else:
log_and_raise_error(logger, "formalism=%s is not implemented" % formalism)
return
self._formalism = formalism
self._i = 0
self._values = values
# Initialise rotations
if single:
if values is None:
# No rotation (rotation matrix = identity matrix)
self._rotations = [Rotation()]
else:
self._rotations = [Rotation(values, formalism=formalism)]
else:
self._rotations = []
for i in range(len(values)):
self._rotations.append(Rotation(values[i], formalism=formalism))
def rotate_vector(self, vector, order="xyz"):
r"""
Return the rotated copy of a given vector
Args:
:vector (array): 3D vector
Kwargs:
:order (str): Order of geometrical axes in array representation of the given vector (default ``'xyz'``)
"""
# Check input
if vector.size != 3 or vector.ndim != 1:
log_and_raise_error(
logger,
"Cannot rotate vector. Vector has incompatible size (%i) or number of dimensions (%i)."
% (vector.size, vector.ndim))
return
# Rotate
if order == "xyz":
return self.rotation_matrix.dot(vector)
elif order == "zyx":
return self.rotation_matrix.dot(vector[::-1])
else:
log_and_raise_error(logger,
"Corrdinates in order=%s is invalid." % order)
def set_mode(self, mode):
r"""
Set the mode of variation
Args:
:mode (str): Mode of variation
*Choose one of the following options*
======================= ==================================================================== =====================================================
``mode`` Variation model ``spread`` parameter
======================= ==================================================================== =====================================================
``None`` No variation -
``'uniform'`` Uniform random distribution Width
``'normal'`` Normal random distribution Standard deviation
``'poisson'`` Poissonian random distribution -
``'normal_poisson'`` Normal on top of Poissonian random dist. Std. dev. of normal distribution
``'range'`` Equispaced grid around mean center position Width
======================= ==================================================================== =====================================================
"""
if mode not in [
None, "normal", "poisson", "normal_poisson", "uniform", "range"
]:
log_and_raise_error(
logger,
"Variation object cannot be configured with illegal mode %s" %
mode)
return
self._mode = mode
def generate_qmap_3d(qn, qmax, extrinsic_rotation=None, order='xyz'):
q = numpy.linspace(-qmax, qmax, qn)
Qz, Qy, Qx = numpy.meshgrid(q, q, q, indexing='ij')
qmap = numpy.zeros(shape=(qn, qn, qn, 3), dtype='float')
if order == 'xyz':
qmap[:, :, :, 0] = Qx[:, :, :]
qmap[:, :, :, 1] = Qy[:, :, :]
qmap[:, :, :, 2] = Qz[:, :, :]
elif order == 'zyx':
qmap[:, :, :, 2] = Qx[:, :, :]
qmap[:, :, :, 1] = Qy[:, :, :]
qmap[:, :, :, 0] = Qz[:, :, :]
else:
log_and_raise_error(
logger,
"order=\'%s\' is not a recognised argument for this function." %
str(order))
return
if extrinsic_rotation is not None:
log_debug(logger, "Applying qmap rotation.")
intrinsic_rotation = copy.deepcopy(extrinsic_rotation)
intrinsic_rotation.invert()
qmap = intrinsic_rotation.rotate_vectors(
qmap.ravel(), order=order).reshape(qmap.shape)
return qmap
def __init__(self,
wavelength=None,
energy=None,
energy_eV=None,
frequency=None):
if (wavelength is not None and energy is not None) or (
wavelength is not None
and energy_eV is not None) or (energy is not None
and energy_eV is not None):
log_and_raise_error(
logger,
"Invalid arguments during initialisation of Photon instance. More than one of the arguments is not None."
)
return
if wavelength is not None:
self.set_wavelength(wavelength)
elif energy is not None:
self.set_energy(energy)
elif energy_eV is not None:
self.set_energy_eV(energy_eV)
elif frequency is not None:
self.set_frequency(frequency)
else:
log_and_raise_error(
logger, "Photon could not be initialised."
"It has to be initialized with exactly one of the following keyword arguments"
"\t- wavelegth:\t photon wavelength in meters"
"\t- energy:\t photon energy in Joules"
"\t- energy_eV:\t photon energy in electron volts"
"\t- frequency:\t photon frequency in Hertz")
def set_number_of_dimensions(self, number_of_dimensions):
if number_of_dimensions < 1 or number_of_dimensions > 3:
log_and_raise_error(
logger,
"Number of dimensions for variation objects can be only either 1, 2 or 3."
)
return
self._number_of_dimensions = number_of_dimensions
def generate_qmap(X,
Y,
pixel_size,
detector_distance,
wavelength,
extrinsic_rotation=None,
order="xyz"):
r"""
Generate scattering vector map from experimental parameters
Args:
:X (array): :math:`x`-coordinates of pixels in unit meter
:Y (array): :math:`y`-coordinates of pixels in unit meter
:pixel_size (float): Pixel size (i.e. edge length) in unit meter
:detector_distance (float): Distance from interaction point to detector plane
:wavelength (float): Photon wavelength in unit meter
Kwargs:
:extrinsic_rotation (:class:`condor.utils.rotation.Rotation`): Extrinsic rotation of the sample. If ``None`` no rotation is applied (default ``None``)
:order (str): Order of scattering vector coordinates in the output array. Choose either ``'xyz'`` or ``'zyx'`` (default ``'xyz'``)
"""
log_debug(logger,
"Allocating qmap (%i,%i,%i)" % (X.shape[0], X.shape[1], 3))
R_Ewald = 2 * numpy.pi / wavelength
p_x = X * pixel_size
p_y = Y * pixel_size
p_z = numpy.ones_like(X) * detector_distance
l = numpy.sqrt(p_x**2 + p_y**2 + p_z**2)
r_x = p_x / l
r_y = p_y / l
r_z = p_z / l - 1.
qmap = numpy.zeros(shape=(X.shape[0], X.shape[1], 3))
if order == "xyz":
qmap[:, :, 0] = r_x * R_Ewald
qmap[:, :, 1] = r_y * R_Ewald
qmap[:, :, 2] = r_z * R_Ewald
elif order == "zyx":
qmap[:, :, 0] = r_z * R_Ewald
qmap[:, :, 1] = r_y * R_Ewald
qmap[:, :, 2] = r_x * R_Ewald
else:
log_and_raise_error(logger,
"Indexing with order=%s is invalid." % order)
if extrinsic_rotation is not None:
log_debug(logger, "Applying qmap rotation.")
intrinsic_rotation = copy.deepcopy(extrinsic_rotation)
intrinsic_rotation.invert()
qmap = intrinsic_rotation.rotate_vectors(
qmap.ravel(), order=order).reshape(qmap.shape)
return qmap
def rotate_vectors(self, vectors, order="xyz"):
r"""
Return the rotated copy of a given array of vectors
Args:
:vectors (array): Array of 3D vectors with shape (:math:`N`, 3) with :math:`N` denoting the number of 3D vectors
Kwargs:
:order (str): Order of geometrical axes in array representation of the given vector (default ``'xyz'``)
"""
# Check input
if vectors.ndim != 2 and vectors.ndim != 1:
log_and_raise_error(logger, "Cannot rotate vectors. Input must have either one or two dimensions")
return
n_ax = list(vectors.shape)[-1]
N = vectors.size
Nv = N/3
if vectors.ndim == 2 and n_ax != 3:
log_and_raise_error(logger, "Cannot rotate vectors. The given array has length %i in last dimension but should be 3." % (n_ax))
return
if vectors.ndim == 1 and N % 3 != 0:
log_and_raise_error(logger, "Cannot rotate vectors. The given array has size %i which is not a multiple of 3." % (n_ax))
return
# Rotate
if order == "xyz":
return numpy.array([numpy.dot(self.rotation_matrix,vectors.ravel()[i*3:(i+1)*3]) for i in numpy.arange(Nv)])
elif order == "zyx":
return numpy.array([numpy.dot(self.rotation_matrix,(vectors.ravel()[i*3:(i+1)*3])[::-1])[::-1] for i in numpy.arange(Nv)])
else:
log_and_raise_error(logger, "Corrdinates in order=%s is invalid." % order)
def set_with_euler_angles(self, euler_angles, rotation_axes="zxz"):
r"""
Set rotation with an array of three euler angles
Args:
:euler_angles: Array of the three euler angles representing consecutive rotations
Kwargs:
:rotation_axes(str): Rotation axes of the three consecutive rotations (default = \'zxz\')
"""
# Check input
if euler_angles.size != 3:
log_and_raise_error(logger, "Size of rotation variable does not match expected shape")
return
# Set rotation matrix
self.rotation_matrix = euler_to_rotmx(euler_angles, rotation_axes)
def get_values_window(image,
x_i,
y_i,
window_size,
circle_window,
i,
masked_image=None,
thumbnails=None):
if not window_size % 2:
log_and_raise_error(
logger,
"window_size (%i) must be an odd number. Please change your configuration and try again."
% window_size)
return None
if (x_i-window_size/2 < 0) or \
x_i-window_size/2+window_size>=image.shape[1] or \
(y_i-window_size/2 < 0) or \
y_i-window_size/2+window_size>=image.shape[0]:
log_info(logger, "Particle too close to edge - cannot be analysed.")
return None
values = image[y_i - (window_size - 1) / 2:y_i + (window_size - 1) / 2 + 1,
x_i - (window_size - 1) / 2:x_i + (window_size - 1) / 2 + 1]
if circle_window:
mask = make_circle_mask(window_size)
values = values[mask]
if masked_image is not None:
(masked_image[y_i - (window_size - 1) / 2:y_i +
(window_size - 1) / 2 + 1,
x_i - (window_size - 1) / 2:x_i +
(window_size - 1) / 2 + 1])[mask] = values[:]
if thumbnails is not None:
(thumbnails[i, :, :])[mask] = values[:]
else:
if masked_image is not None:
masked_image[y_i - (window_size - 1) / 2:y_i +
(window_size - 1) / 2 + 1,
x_i - (window_size - 1) / 2:x_i +
(window_size - 1) / 2 + 1] = values[:, :]
if thumbnail is not None:
thumbnails[i, :, :] = values[:, :]
return values
def generate_qmap(X,Y,pixel_size,detector_distance,wavelength,extrinsic_rotation=None, order="xyz"):
r"""
Generate scattering vector map from experimental parameters
Args:
:X (array): :math:`x`-coordinates of pixels in unit meter
:Y (array): :math:`y`-coordinates of pixels in unit meter
:pixel_size (float): Pixel size (i.e. edge length) in unit meter
:detector_distance (float): Distance from interaction point to detector plane
:wavelength (float): Photon wavelength in unit meter
Kwargs:
:extrinsic_rotation (:class:`condor.utils.rotation.Rotation`): Extrinsic rotation of the sample. If ``None`` no rotation is applied (default ``None``)
:order (str): Order of scattering vector coordinates in the output array. Choose either ``'xyz'`` or ``'zyx'`` (default ``'xyz'``)
"""
log_debug(logger, "Allocating qmap (%i,%i,%i)" % (X.shape[0],X.shape[1],3))
R_Ewald = 2*numpy.pi/wavelength
p_x = X*pixel_size
p_y = Y*pixel_size
p_z = numpy.ones_like(X)*detector_distance
l = numpy.sqrt(p_x**2+p_y**2+p_z**2)
r_x = p_x/l
r_y = p_y/l
r_z = p_z/l - 1.
qmap = numpy.zeros(shape=(X.shape[0],X.shape[1],3))
if order == "xyz":
qmap[:,:,0] = r_x * R_Ewald
qmap[:,:,1] = r_y * R_Ewald
qmap[:,:,2] = r_z * R_Ewald
elif order == "zyx":
qmap[:,:,0] = r_z * R_Ewald
qmap[:,:,1] = r_y * R_Ewald
qmap[:,:,2] = r_x * R_Ewald
else:
log_and_raise_error(logger, "Indexing with order=%s is invalid." % order)
if extrinsic_rotation is not None:
log_debug(logger, "Applying qmap rotation.")
intrinsic_rotation = copy.deepcopy(extrinsic_rotation)
intrinsic_rotation.invert()
qmap = intrinsic_rotation.rotate_vectors(qmap.ravel(), order=order).reshape(qmap.shape)
return qmap
def set_with_quaternion(self, quaternion):
r"""
Set rotation with a quaternion
Args:
:quaternion: Numpy array representing the quaternion :math:`w+ix+jy+kz`:
[:math:`w`, :math:`x`, :math:`y`, :math:`z`] = [:math:`\cos(\theta/2)`, :math:`u_x \sin(\theta/2)`, :math:`u_y \sin(\theta/2)`, :math:`u_z \sin(\theta/2)`]
with :math:`\theta` being the rotation angle and :math:`\vec{u}=(u_x,u_y,u_z)` the unit vector that defines the axis of rotation.
"""
# Check input
if quaternion.size != 4:
log_and_raise_error(logger, "Size of rotation variable does not match expected shape")
return
# Set rotation matrix
self.rotation_matrix = rotmx_from_quat(quaternion)
def set_with_rotation_matrix(self, rotation_matrix):
r"""
Set rotation with a rotation matrix
Args:
:rotation_matrix: 3x3 array representing the rotation matrix
"""
# Check input
if rotation_matrix.size != 9 or rotation_matrix.ndim != 2:
log_and_raise_error(logger, "Size of rotation variable does not match expected shape")
return
I = rotation_matrix.dot(rotation_matrix.T)
tol = 0.0001
for i in range(3):
if abs(I[i,i]-1.) > tol:
log_and_raise_error(logger, "Given matrix cannot be a rotation matrix because it is not unitary")
# Set rotation matrix
self.rotation_matrix = rotation_matrix.copy()
def set_with_euler_angles(self, euler_angles, rotation_axes="zxz"):
r"""
Set rotation with an array of three euler angles
Args:
:euler_angles: Array of the three euler angles representing consecutive rotations
Kwargs:
:rotation_axes(str): Rotation axes of the three consecutive rotations (default = \'zxz\')
"""
# Check input
if euler_angles.size != 3:
log_and_raise_error(
logger,
"Size of rotation variable does not match expected shape")
return
# Set rotation matrix
self.rotation_matrix = euler_to_rotmx(euler_angles, rotation_axes)
def __init__(self, values=None, formalism=None):
self.rotation_matrix = None
if values is None and formalism is None:
# No rotation (rotation matrix = identity matrix)
self.rotation_matrix = numpy.ones(shape=(3,3))
elif formalism.startswith("euler_angles_") and len(formalism) == len("euler_angles_xyz"):
self.set_with_euler_angles(values, rotation_axes=formalism[-3:])
elif formalism == "rotation_matrix":
self.set_with_rotation_matrix(values)
elif formalism == "quaternion":
self.set_with_quaternion(values)
elif formalism in ["random","random_x","random_y","random_z"]:
if values is not None:
log_warning(logger, "Specified formalism=%s but values is not None." % formalism)
self._set_as_random_formalism(formalism)
else:
log_and_raise_error(logger, "formalism=%s is not implemented" % formalism)
return
def set_with_quaternion(self, quaternion):
r"""
Set rotation with a quaternion
Args:
:quaternion: Numpy array representing the quaternion :math:`w+ix+jy+kz`:
[:math:`w`, :math:`x`, :math:`y`, :math:`z`] = [:math:`\cos(\theta/2)`, :math:`u_x \sin(\theta/2)`, :math:`u_y \sin(\theta/2)`, :math:`u_z \sin(\theta/2)`]
with :math:`\theta` being the rotation angle and :math:`\vec{u}=(u_x,u_y,u_z)` the unit vector that defines the axis of rotation.
"""
# Check input
if quaternion.size != 4:
log_and_raise_error(
logger,
"Size of rotation variable does not match expected shape")
return
# Set rotation matrix
self.rotation_matrix = rotmx_from_quat(quaternion)
def rotate_vector(self, vector, order="xyz"):
r"""
Return the rotated copy of a given vector
Args:
:vector (array): 3D vector
Kwargs:
:order (str): Order of geometrical axes in array representation of the given vector (default ``'xyz'``)
"""
# Check input
if vector.size != 3 or vector.ndim != 1:
log_and_raise_error(logger, "Cannot rotate vector. Vector has incompatible size (%i) or number of dimensions (%i)." % (vector.size,vector.ndim))
return
# Rotate
if order == "xyz":
return self.rotation_matrix.dot(vector)
elif order == "zyx":
return self.rotation_matrix.dot(vector[::-1])
else:
log_and_raise_error(logger, "Corrdinates in order=%s is invalid." % order)
def euler_to_rotmx(euler_angles, rotation_axes="zxz"):
r"""
Obtain rotation matrix from three euler angles and the rotation axes
Args:
:euler_angles (array): Length-3 array of euler angles
Kwargs:
:rotation_axes (str): Rotation axes of the three consecutive Euler rotations (default ``'zxz'``)
"""
R = numpy.identity(3)
for ang,ax in zip(euler_angles, rotation_axes):
if ax == "x":
R = R.dot(R_x(ang))
elif ax == "y":
R = R.dot(R_y(ang))
elif ax == "z":
R = R.dot(R_z(ang))
else:
log_and_raise_error(logger, "%s is not a valid axis" % ax)
return
return R
def euler_to_rotmx(euler_angles, rotation_axes="zxz"):
r"""
Obtain rotation matrix from three euler angles and the rotation axes
Args:
:euler_angles (array): Length-3 array of euler angles
Kwargs:
:rotation_axes (str): Rotation axes of the three consecutive Euler rotations (default ``'zxz'``)
"""
R = numpy.identity(3)
for ang, ax in zip(euler_angles, rotation_axes):
if ax == "x":
R = R.dot(R_x(ang))
elif ax == "y":
R = R.dot(R_y(ang))
elif ax == "z":
R = R.dot(R_z(ang))
else:
log_and_raise_error(logger, "%s is not a valid axis" % ax)
return
return R
def rotate_vectors(self, vectors, order="xyz"):
r"""
Return the rotated copy of a given array of vectors
Args:
:vectors (array): Array of 3D vectors with shape (:math:`N`, 3) with :math:`N` denoting the number of 3D vectors
Kwargs:
:order (str): Order of geometrical axes in array representation of the given vector (default ``'xyz'``)
"""
# Check input
if vectors.ndim != 2 and vectors.ndim != 1:
log_and_raise_error(
logger,
"Cannot rotate vectors. Input must have either one or two dimensions"
)
return
n_ax = list(vectors.shape)[-1]
N = vectors.size
Nv = N / 3
if vectors.ndim == 2 and n_ax != 3:
log_and_raise_error(
logger,
"Cannot rotate vectors. The given array has length %i in last dimension but should be 3."
% (n_ax))
return
if vectors.ndim == 1 and N % 3 != 0:
log_and_raise_error(
logger,
"Cannot rotate vectors. The given array has size %i which is not a multiple of 3."
% (n_ax))
return
# Rotate
if order == "xyz":
return numpy.array([
numpy.dot(self.rotation_matrix,
vectors.ravel()[i * 3:(i + 1) * 3])
for i in numpy.arange(Nv)
])
elif order == "zyx":
return numpy.array([
numpy.dot(self.rotation_matrix,
(vectors.ravel()[i * 3:(i + 1) * 3])[::-1])[::-1]
for i in numpy.arange(Nv)
])
else:
log_and_raise_error(logger,
"Corrdinates in order=%s is invalid." % order)
def __init__(self, values=None, formalism=None):
self.rotation_matrix = None
if values is None and formalism is None:
# No rotation (rotation matrix = identity matrix)
self.rotation_matrix = numpy.ones(shape=(3, 3))
elif formalism.startswith("euler_angles_") and len(formalism) == len(
"euler_angles_xyz"):
self.set_with_euler_angles(values, rotation_axes=formalism[-3:])
elif formalism == "rotation_matrix":
self.set_with_rotation_matrix(values)
elif formalism == "quaternion":
self.set_with_quaternion(values)
elif formalism in ["random", "random_x", "random_y", "random_z"]:
if values is not None:
log_warning(
logger, "Specified formalism=%s but values is not None." %
formalism)
self._set_as_random_formalism(formalism)
else:
log_and_raise_error(logger,
"formalism=%s is not implemented" % formalism)
return
def set_with_rotation_matrix(self, rotation_matrix):
r"""
Set rotation with a rotation matrix
Args:
:rotation_matrix: 3x3 array representing the rotation matrix
"""
# Check input
if rotation_matrix.size != 9 or rotation_matrix.ndim != 2:
log_and_raise_error(
logger,
"Size of rotation variable does not match expected shape")
return
I = rotation_matrix.dot(rotation_matrix.T)
tol = 0.0001
for i in range(3):
if abs(I[i, i] - 1.) > tol:
log_and_raise_error(
logger,
"Given matrix cannot be a rotation matrix because it is not unitary"
)
# Set rotation matrix
self.rotation_matrix = rotation_matrix.copy()
def set_model(self,model):
"""
Set the model
Args:
:model (str): Model for the spatial illumination profile
*Choose one of the following options:*
- ``None`` - flat illuminatrion profile of infinite extent and the intensity at every point corresponds to the intensity of a top hat profile (see below)
- ``\'top_hat\'`` - Circular top hat profile
- ``\'pseudo_lorentzian\'`` - 2D radially symmetrical profile composed of two Gaussian profiles obtained by a fit to a Lorentzian profile (used instead of a real Lorentzian because this function can be normalised)
- ``\'gaussian\'`` - 2D radially symmetrical Gaussian profile
"""
if model is None or model in ["top_hat","pseudo_lorentzian","gaussian"]:
self._model = model
else:
log_and_raise_error(logger, "Pulse profile model %s is not implemented. Change your configuration and try again." % model)
sys.exit(0)
def set_mode(self,mode):
r"""
Set the mode of variation
Args:
:mode (str): Mode of variation
*Choose one of the following options*
======================= ==================================================================== =====================================================
``mode`` Variation model ``spread`` parameter
======================= ==================================================================== =====================================================
``None`` No variation -
``'uniform'`` Uniform random distribution Width
``'normal'`` Normal random distribution Standard deviation
``'poisson'`` Poissonian random distribution -
``'normal_poisson'`` Normal on top of Poissonian random dist. Std. dev. of normal distribution
``'range'`` Equispaced grid around mean center position Width
======================= ==================================================================== =====================================================
"""
if mode not in [None,"normal","poisson","normal_poisson","uniform","range"]:
log_and_raise_error(logger, "Variation object cannot be configured with illegal mode %s" % mode)
return
self._mode = mode
def __init__(self, values=None, formalism=None):
"""
"""
if values is None and formalism is None:
single = True
elif formalism.startswith("euler_angles_") and len(formalism) == len(
"euler_angles_xyz"):
values = numpy.asarray(values)
single = values.ndim == 1
elif formalism == "rotation_matrix":
values = numpy.asarray(values)
single = values.ndim == 2
elif formalism == "quaternion":
values = numpy.asarray(values)
single = values.ndim == 1
elif formalism in ["random", "random_x", "random_y", "random_z"]:
single = True
else:
log_and_raise_error(logger,
"formalism=%s is not implemented" % formalism)
return
self._formalism = formalism
self._i = 0
self._values = values
# Initialise rotations
if single:
if values is None:
# No rotation (rotation matrix = identity matrix)
self._rotations = [Rotation()]
else:
self._rotations = [Rotation(values, formalism=formalism)]
else:
self._rotations = []
for i in range(len(values)):
self._rotations.append(Rotation(values[i],
formalism=formalism))
def validate(self):
mode = self.get_mode()
spread = self.get_spread()
number_of_dimensions = self.get_number_of_dimensions()
if mode in ["normal","normal_poisson","uniform","range"] and spread is None:
log_and_raise_error(logger, "Variation object configuration is invalid because mode \'%s\' requires \'spread\' to be not None." % mode)
if mode in ["range"]:
if self.n is None:
log_and_raise_error(logger, "Variation object cannot be configured because mode \'%s\' requires that \'n\' is not None." % mode)
if spread is not None:
if number_of_dimensions != len(self._spread):
log_and_raise_error(logger, "Specified number of dimensions (%i) and length of spread array (%i) do not match." % (number_of_dimensions, len(spread)))
def validate(self):
mode = self.get_mode()
spread = self.get_spread()
number_of_dimensions = self.get_number_of_dimensions()
if mode in ["normal", "normal_poisson", "uniform", "range"
] and spread is None:
log_and_raise_error(
logger,
"Variation object configuration is invalid because mode \'%s\' requires \'spread\' to be not None."
% mode)
if mode in ["range"]:
if self.n is None:
log_and_raise_error(
logger,
"Variation object cannot be configured because mode \'%s\' requires that \'n\' is not None."
% mode)
if spread is not None:
if number_of_dimensions != len(self._spread):
log_and_raise_error(
logger,
"Specified number of dimensions (%i) and length of spread array (%i) do not match."
% (number_of_dimensions, len(spread)))
def set_number_of_dimensions(self, number_of_dimensions):
if number_of_dimensions < 1 or number_of_dimensions > 3:
log_and_raise_error(logger, "Number of dimensions for variation objects can be only either 1, 2 or 3.")
return
self._number_of_dimensions = number_of_dimensions
def read_map(filename):
log.log_info(logger, "Automatic scaling of EM maps may not be reliable. Please make sure to check your map after using this functionality.")
# CCP4 map file format
# http://www.ccp4.ac.uk/html/maplib.html
with open(filename, "rb") as f:
# 1024 bytes header
header_buf = f.read(1024)
temp_int32 = numpy.frombuffer(header_buf, dtype="int32")
temp_float32 = numpy.frombuffer(header_buf, dtype="float32")
#1 NC # of Columns (fastest changing in map)
#2 NR # of Rows
#3 NS # of Sections (slowest changing in map)
NC = temp_int32[0]
NR = temp_int32[1]
NS = temp_int32[2]
if NC != NR or NR != NS:
log.log_and_raise_error(logger, "Cannot read a map with unequal dimensions")
N = NC
#4 MODE Data type
# 0 = envelope stored as signed bytes (from
# -128 lowest to 127 highest)
# 1 = Image stored as Integer*2
# 2 = Image stored as Reals
# 3 = Transform stored as Complex Integer*2
# 4 = Transform stored as Complex Reals
# 5 == 0
#
# Note: Mode 2 is the normal mode used in
# the CCP4 programs. Other modes than 2 and 0
# may NOT WORK
MODE = temp_int32[3]
dtype = ["int8", "int16", "float32", None, "complex64", "int8"][MODE]
if MODE == 3:
log.log_and_raise_error(logger, "Map file data type \"MODE=%i\" is not implemented yet." % MODE)
if MODE not in [0,1,2,5]:
log.log_warning(logger, "Map file data type \"MODE=%i\" not supported yet and may not work reliably." % MODE)
#11 X length Cell Dimensions (Angstroms)
#12 Y length "
#13 Z length "
dX = temp_float32[10]/float(N)*1E-10
dY = temp_float32[11]/float(N)*1E-10
dZ = temp_float32[12]/float(N)*1E-10
if dX != dY or dY != dZ:
log.log_and_raise_error(logger, "Cannot read a map with unequal voxel dimensions")
#17 MAPC Which axis corresponds to Cols. (1,2,3 for X,Y,Z)
#18 MAPR Which axis corresponds to Rows (1,2,3 for X,Y,Z)
#19 MAPS Which axis corresponds to Sects. (1,2,3 for X,Y,Z)
MAPC = temp_int32[16]
MAPR = temp_int32[17]
MAPS = temp_int32[18]
#24 NSYMBT Number of bytes used for storing symmetry operators
NSYMBT = temp_int32[23]
if NSYMBT > 0:
log.log_and_raise_error(logger, "Omitting symmetry operations in map file.")
f.read(NSYMBT)
# The remaining bytes are data
raw_data = f.read()
raw_data = numpy.frombuffer(raw_data, dtype=dtype)
# Now we need to project onto the right Z-Y-X array grid
S,R,C = numpy.meshgrid(numpy.arange(NS), numpy.arange(NR), numpy.arange(NC), indexing='ij')
S = S.flatten()
R = R.flatten()
C = C.flatten()
if MAPC == 1:
X = C
Xlen = NC
elif MAPC == 2:
Y = C
Ylen = NC
elif MAPC == 3:
Z = C
Zlen = NC
if MAPR == 1:
X = R
Xlen = NR
elif MAPR == 2:
Y = R
Ylen = NR
elif MAPR == 3:
Z = R
Zlen = NR
if MAPS == 1:
X = S
Xlen = NS
elif MAPS == 2:
Y = S
Ylen = NS
elif MAPS == 3:
Z = S
Zlen = NS
i = Z*(Ylen*Xlen) + Y*(Xlen) + X
i.sort()
data = numpy.zeros(Zlen*Ylen*Xlen, dtype=dtype)
data[:] = raw_data[i]
data = data.reshape((Zlen,Ylen,Xlen))
return data, dX
def _conf_to_spsim_opts(D_source,
D_particle,
D_detector,
ndim=2,
qn=None,
qmax=None):
if ndim == 2:
if qn is not None or qmax is not None:
log_warning(
logger,
"As ndim=2 the passed values for qn and qmax take no effect.")
if ndim == 3:
if qn is None and qmax is None:
log_and_raise_error(
logger, "As ndim=3 both qn and qmax must be not None.")
return
import spsim
# Create temporary file for pdb file
tmpf_pdb = tempfile.NamedTemporaryFile(mode='w+b',
bufsize=-1,
suffix='.conf',
prefix='tmp_spsim',
dir=None,
delete=False)
tmpf_pdb_name = tmpf_pdb.name
tmpf_pdb.close()
# Write pdb file
mol = spsim.get_molecule_from_atoms(D_particle["atomic_numbers"],
D_particle["atomic_positions"])
spsim.write_pdb_from_mol(tmpf_pdb_name, mol)
spsim.free_mol(mol)
# Start with default spsim configuration
opts = spsim.set_defaults()
# Create temporary file for spsim configuration
tmpf_conf = tempfile.NamedTemporaryFile(mode='w+b',
bufsize=-1,
suffix='.conf',
prefix='tmp_spsim',
dir=None,
delete=False)
# Write string sequence from configuration dicts
s = []
s += "# THIS FILE WAS CREATED AUTOMATICALLY BY CONDOR\n"
s += "# Temporary configuration file for spsim\n"
s += "verbosity_level = 0;\n"
s += "number_of_dimensions = %i;\n" % ndim
s += "number_of_patterns = 1;\n"
s += "origin_to_com = 1;\n"
s += "input_type = \"pdb\";\n"
#s += "pdb_filename = \"%s\";\n" % D_particle["pdb_filename"]
s += "pdb_filename = \"%s\";\n" % tmpf_pdb_name
if ndim == 2:
D = D_detector["distance"]
Lx = D_detector["pixel_size"] * D_detector["nx"]
Ly = D_detector["pixel_size"] * D_detector["ny"]
else:
k0 = 2. * numpy.pi / D_source["wavelength"]
D = qn / 2. * D_detector["pixel_size"] * k0 / qmax
Lx = Ly = Lz = D_detector["pixel_size"] * qn
s += "detector_distance = %.12e;\n" % D
s += "detector_width = %.12e;\n" % Lx
s += "detector_height = %.12e;\n" % Ly
if ndim == 3:
s += "detector_depth = %.12e;\n" % Lz
s += "detector_pixel_width = %.12e;\n" % D_detector["pixel_size"]
s += "detector_pixel_height = %.12e;\n" % D_detector["pixel_size"]
if ndim == 3:
s += "detector_pixel_depth = %.12e;\n" % D_detector["pixel_size"]
if ndim == 2:
s += "detector_center_x = %.12e;\n" % (D_detector["pixel_size"] *
(D_detector["cx"] -
(D_detector["nx"] - 1) / 2.))
s += "detector_center_y = %.12e;\n" % (D_detector["pixel_size"] *
(D_detector["cy"] -
(D_detector["ny"] - 1) / 2.))
else:
s += "detector_center_x = 0;\n"
s += "detector_center_y = 0;\n"
s += "detector_center_z = 0;\n"
s += "detector_binning = 1;\n"
s += "experiment_wavelength = %.12e;\n" % D_source["wavelength"]
s += "experiment_beam_intensity = %.12e;\n" % D_particle["intensity"]
s += "experiment_polarization = \"ignore\";\n" # polarization correction will be done in Condor if needed (see experiment.py)
#s += "use_cuda = 0;\n"
intrinsic_rotation = condor.utils.rotation.Rotation(
values=D_particle["extrinsic_quaternion"], formalism="quaternion")
intrinsic_rotation.invert()
e0, e1, e2 = intrinsic_rotation.get_as_euler_angles("zxz")
if not numpy.isfinite(e0):
print "ERROR: phi is not finite"
if not numpy.isfinite(e1):
print "ERROR: theta is not finite"
if not numpy.isfinite(e2):
print "ERROR: psi is not finite"
s += "phi = %.12e;\n" % e0
s += "theta = %.12e;\n" % e1
s += "psi = %.12e;\n" % e2
s += "random_orientation = 0;\n"
# Write string sequence to file
tmpf_conf.writelines(s)
# Close temporary file
tmpf_conf_name = tmpf_conf.name
tmpf_conf.close()
# Read configuration into options struct
spsim.read_options_file(tmpf_conf_name, opts)
# This deletes the temporary files
os.unlink(tmpf_pdb_name)
os.unlink(tmpf_conf_name)
return opts
def read_map(filename):
log.log_info(logger, "Automatic scaling of EM maps may not be reliable. Please make sure to check your map after using this functionality.")
# CCP4 map file format
# http://www.ccp4.ac.uk/html/maplib.html
with open(filename, "rb") as f:
# 1024 bytes header
header_buf = f.read(1024)
temp_int32 = numpy.frombuffer(header_buf, dtype="int32")
temp_float32 = numpy.frombuffer(header_buf, dtype="float32")
#1 NC # of Columns (fastest changing in map)
#2 NR # of Rows
#3 NS # of Sections (slowest changing in map)
NC = temp_int32[0]
NR = temp_int32[1]
NS = temp_int32[2]
if NC != NR or NR != NS:
log.log_and_raise_error(logger, "Cannot read a map with unequal dimensions")
N = NC
#4 MODE Data type
# 0 = envelope stored as signed bytes (from
# -128 lowest to 127 highest)
# 1 = Image stored as Integer*2
# 2 = Image stored as Reals
# 3 = Transform stored as Complex Integer*2
# 4 = Transform stored as Complex Reals
# 5 == 0
#
# Note: Mode 2 is the normal mode used in
# the CCP4 programs. Other modes than 2 and 0
# may NOT WORK
MODE = temp_int32[3]
dtype = ["int8", "int16", "float32", None, "complex64", "int8"][MODE]
if MODE == 3:
log.log_and_raise_error(logger, "Map file data type \"MODE=%i\" is not implemented yet." % MODE)
if MODE not in [0,1,2,5]:
log.log_warning(logger, "Map file data type \"MODE=%i\" not supported yet and may not work reliably." % MODE)
#11 X length Cell Dimensions (Angstroms)
#12 Y length "
#13 Z length "
dX = temp_float32[10]/float(N)*1E-10
dY = temp_float32[11]/float(N)*1E-10
dZ = temp_float32[12]/float(N)*1E-10
if dX != dY or dY != dZ:
log.log_and_raise_error(logger, "Cannot read a map with unequal voxel dimensions")
#17 MAPC Which axis corresponds to Cols. (1,2,3 for X,Y,Z)
#18 MAPR Which axis corresponds to Rows (1,2,3 for X,Y,Z)
#19 MAPS Which axis corresponds to Sects. (1,2,3 for X,Y,Z)
MAPC = temp_int32[16]
MAPR = temp_int32[17]
MAPS = temp_int32[18]
#24 NSYMBT Number of bytes used for storing symmetry operators
NSYMBT = temp_int32[23]
if NSYMBT > 0:
log.log_and_raise_error(logger, "Omitting symmetry operations in map file.")
f.read(NSYMBT)
# The remaining bytes are data
raw_data = f.read()
raw_data = numpy.frombuffer(raw_data, dtype=dtype)
# Now we need to project onto the right Z-Y-X array grid
S,R,C = numpy.meshgrid(numpy.arange(NS), numpy.arange(NR), numpy.arange(NC), indexing='ij')
S = S.flatten()
R = R.flatten()
C = C.flatten()
if MAPC == 1:
X = C
Xlen = NC
elif MAPC == 2:
Y = C
Ylen = NC
elif MAPC == 3:
Z = C
Zlen = NC
if MAPR == 1:
X = R
Xlen = NR
elif MAPR == 2:
Y = R
Ylen = NR
elif MAPR == 3:
Z = R
Zlen = NR
if MAPS == 1:
X = S
Xlen = NS
elif MAPS == 2:
Y = S
Ylen = NS
elif MAPS == 3:
Z = S
Zlen = NS
i = Z*(Ylen*Xlen) + Y*(Xlen) + X
i.sort()
data = numpy.zeros(Zlen*Ylen*Xlen, dtype=dtype)
data[:] = raw_data[i]
data = data.reshape((Zlen,Ylen,Xlen))
return data, dX
def analyse_particles(image, image_raw, saturation_mask, i_labels, labels, x,
y, merged, n_particles_max, full_output,
**conf_analysis):
if full_output:
masked_image = np.zeros_like(image_raw)
if conf_analysis["integration_mode"] == "windows":
thumbnails = np.zeros(shape=(n_particles_max,
conf_analysis["window_size"],
conf_analysis["window_size"]),
dtype=image.dtype)
else:
thumbnails = np.zeros(shape=(n_particles_max,
THUMBNAILS_WINDOW_SIZE_DEFAULT,
THUMBNAILS_WINDOW_SIZE_DEFAULT),
dtype=image.dtype)
else:
masked_image = None
thumbnails = None
mask = None
N = len(i_labels)
psuccess = np.zeros(N, dtype='bool')
psum = np.zeros(N) - 1
pmin = np.zeros(N) - 1
pmax = np.zeros(N) - 1
pmean = np.zeros(N) - 1
pmedian = np.zeros(N) - 1
psat = np.zeros(N) - 1
psize = np.zeros(N) - 1
pecc = np.zeros(N) - 1
pcir = np.zeros(N) - 1
for i, i_label, x_i, y_i, m in zip(range(N), i_labels, x, y, merged):
if x_i < 0 or y_i < 0:
continue
# Analyse
pixels = i_label == labels
psat[i] = (pixels * saturation_mask).any()
psize[i] = pixels.sum()
pecc[i] = measure_eccentricity(intensity=image * pixels, mask=pixels)
pcir[i] = measure_circumference(pixels)
if conf_analysis["integration_mode"] == "windows":
values = get_values_window(
image_raw,
int(round(x_i)),
int(round(y_i)),
window_size=conf_analysis["window_size"],
circle_window=conf_analysis["circle_window"],
i=i,
masked_image=masked_image,
thumbnails=thumbnails)
elif conf_analysis["integration_mode"] == "labels":
values = get_values_label(image_raw,
labels,
i_label,
masked_image=masked_image,
thumbnails=thumbnails)
else:
log_and_raise_error(
logger, "%s is not a valid integration_mode!" %
conf_analysis["integration_mode"])
if values is not None and len(values) > 0:
psuccess[i] = True
psum[i] = values.sum()
pmin[i] = values.min()
pmax[i] = values.max()
pmean[i] = values.mean()
pmedian[i] = np.median(values)
success = True
return success, psuccess, psum, pmean, pmedian, pmin, pmax, psize, psat, pecc, pcir, masked_image, thumbnails
def find_particles(image_scored,
image_thresholded,
min_dist,
n_particles_max,
peak_centering="center_of_mass"):
n_lit = image_thresholded.sum()
log_debug(logger, "%i pixels above threshold" % n_lit)
success = False
return_default = success, [], None, None, None, None, None, None, None, None
if n_lit == 0:
return return_default
else:
log_debug(logger, "Label image")
labels, n_labels = scipy.ndimage.measurements.label(image_thresholded)
i_labels = range(1, n_labels + 1)
if n_labels > n_particles_max:
log_info(
logger,
"%i labels - (frame overexposed? too many particles?), skipping analysis"
% n_labels)
return return_default
V = [image_scored[i_label == labels].max() for i_label in i_labels]
nx = image_thresholded.shape[1]
ny = image_thresholded.shape[0]
x, y = np.meshgrid(np.arange(nx), np.arange(ny))
x = x[image_thresholded]
y = y[image_thresholded]
l = labels[image_thresholded]
v = image_scored[image_thresholded]
if peak_centering == "center_of_mass":
log_debug(logger, "Determine centers of mass")
com = scipy.ndimage.measurements.center_of_mass(
image_thresholded, labels, i_labels)
X = [com_x for com_y, com_x in com]
Y = [com_y for com_y, com_x in com]
elif peak_centering == "center_to_max":
log_debug(logger, "Determine maximum positions")
X = []
Y = []
for i_label in i_labels:
i_max = (v * (l == i_label)).argmax()
X.append(x[i_max])
Y.append(y[i_max])
else:
log_and_raise_error(
logger, "%s is not a valid argument for peak_centering!" %
peak_centering)
dislocation = []
for i_label, xc, yc in zip(i_labels, X, Y):
i_max = (v * (l == i_label)).argmax()
dislocation.append(np.sqrt((x[i_max] - xc)**2 +
(y[i_max] - yc)**2))
merged = list(np.zeros(len(i_labels), dtype=np.bool))
# Merge too close peaks
log_debug(logger, "Merge too close points")
i_labels, labels, X, Y, V, merged, dists_closest_neighbor = merge_close_points(
i_labels, labels, X, Y, V, merged, min_dist)
log_debug(logger, "Clean up labels")
i_labels, labels = clean_up_labels(i_labels, labels)
n_labels = len(i_labels)
log_debug(logger, "Measure size of each peak")
areas = measure_areas(i_labels, labels)
success = True
areas = np.asarray(areas)
X = np.asarray(X)
Y = np.asarray(Y)
dislocation = np.asarray(dislocation)
V = np.asarray(V)
merged = np.asarray(merged)
dists_closest_neighbor = np.asarray(dists_closest_neighbor)
return success, i_labels, labels, areas, X, Y, V, merged, dists_closest_neighbor, dislocation