def __init__(self, universe_material, nbins, diameter=100., detector_width=100., detector='plane'):
self.universe_material = universe_material
self.geometry = Geometry()
self.source = np.array([-diameter / 2., 0.])
if detector == 'plane':
self.detector = DetectorPlane([diameter / 2., 0.], detector_width, nbins)
elif detector == 'arc':
self.detector = DetectorArc(self.source, diameter, detector_width / 2., -detector_width / 2., nbins)
def __init__(self,
universe_material,
nbins,
diameter=100.,
detector_width=100.,
detector='plane'):
self.universe_material = universe_material
self.geometry = Geometry()
self.source = np.array([-diameter / 2., 0.])
if detector == 'plane':
self.detector = DetectorPlane([diameter / 2., 0.], detector_width,
nbins)
elif detector == 'arc':
self.detector = DetectorArc(self.source, diameter,
detector_width / 2.,
-detector_width / 2., nbins)
class Simulation(object):
def __init__(self,
universe_material,
nbins,
diameter=100.,
detector_width=100.,
detector='plane'):
self.universe_material = universe_material
self.geometry = Geometry()
self.source = np.array([-diameter / 2., 0.])
if detector == 'plane':
self.detector = DetectorPlane([diameter / 2., 0.], detector_width,
nbins)
elif detector == 'arc':
self.detector = DetectorArc(self.source, diameter,
detector_width / 2.,
-detector_width / 2., nbins)
def get_intersecting_segments(self, start, end, ray=False):
"""
Find intersection points and lixels which intersect ray (start, end).
"""
intercepts, indexes = [], []
intersect_segment = np.array([start, end])
for i, segment in enumerate(self.geometry.mesh.segments):
intercept = math2d.intersect(segment, intersect_segment, ray)
if intercept is not None:
intercepts.append(intercept)
indexes.append(i)
return intercepts, indexes
def attenuation_length(self, start, end):
"""
Calculate attenuation length for geometry.
Can account for starting and ending in any position.
"""
intercepts, indexes = self.get_intersecting_segments(start, end)
if len(intercepts) == 0:
ray_intercepts, ray_indexes = self.get_intersecting_segments(
start, end, ray=True)
if len(ray_intercepts) == 0:
return np.linalg.norm(start -
end) * self.universe_material.attenuation
distances = np.linalg.norm(np.add(ray_intercepts, -start), axis=1)
distances_argmin = np.argmin(distances)
closest_index = ray_indexes[distances_argmin]
closest_intercept = ray_intercepts[distances_argmin]
closest_normal = math2d.normal(
self.geometry.mesh.segments[closest_index])
start_sign = np.sign(
np.dot(start - closest_intercept, closest_normal))
if start_sign > 0:
outer_atten = self.geometry.outer_materials[
closest_index].attenuation
atten_length = np.linalg.norm(start - end) * outer_atten
else:
inner_atten = self.geometry.inner_materials[
closest_index].attenuation
atten_length = np.linalg.norm(start - end) * inner_atten
return atten_length
distances = np.linalg.norm(np.add(intercepts, -start), axis=1)
distances_argmin = np.argmin(distances)
closest_index = indexes[distances_argmin]
closest_intercept = intercepts[distances_argmin]
closest_normal = math2d.normal(
self.geometry.mesh.segments[closest_index])
start_sign = np.sign(np.dot(start - closest_intercept, closest_normal))
if start_sign > 0:
outer_atten = self.geometry.outer_materials[
closest_index].attenuation
atten_length = np.linalg.norm(start - end) * outer_atten
else:
inner_atten = self.geometry.inner_materials[
closest_index].attenuation
atten_length = np.linalg.norm(start - end) * inner_atten
for intercept, index in zip(intercepts, indexes):
normal = math2d.normal(self.geometry.mesh.segments[index])
start_sign = np.sign(np.dot(start - intercept, normal))
end_sign = np.sign(np.dot(end - intercept, normal))
inner_atten = self.geometry.inner_materials[index].attenuation
outer_atten = self.geometry.outer_materials[index].attenuation
atten_length += start_sign * np.linalg.norm(intercept - end) * (
inner_atten - outer_atten)
return atten_length
def fission_segments(self, start, end):
"""
Return list of line segments where fissions may occur.
"""
segments, cross_sections = [], []
intercepts, indexes = self.get_intersecting_lixels(start, end)
# otherwise
fission_indexes = []
fission_intercepts = []
for index, intercept in zip(indexes, intercepts):
# test if lixel is border of fissionable material(s)
inner_material = self.geometry.get_inner_material(index)
outer_material = self.geometry.get_outer_material(index)
if inner_material.is_fissionable or outer_material.is_fissionable:
fission_indexes.append(index)
fission_intercepts.append(intercept)
# account for no intersections with fissionable materials
if len(fission_intercepts) == 0:
return segments, cross_sections
# sort fission_indexes and fission_intercepts by distance from start
distances = np.linalg.norm(np.add(fission_intercepts, -start), axis=1)
distance_order = [
index_
for (distance_,
index_) in sorted(zip(distances, range(len(distances))))
]
sorted_fission_indexes = [fission_indexes[i] for i in distance_order]
sorted_fission_intercepts = [
fission_intercepts[i] for i in distance_order
]
for i in xrange(len(sorted_fission_indexes)):
f_ind = sorted_fission_indexes[i]
f_int = sorted_fission_intercepts[i]
if i == 0:
# test if start to first fission lixel is fissionable
normal = self.geometry.mesh.lixel_normal(f_ind)
sign = np.sign(np.dot(start - f_int, normal))
inner_material = self.geometry.get_inner_material(f_ind)
outer_material = self.geometry.get_outer_material(f_ind)
if sign > 0 and outer_material.is_fissionable:
segments.append([start, f_int])
cross_sections.append(outer_material.macro_fission)
elif sign < 0 and inner_material.is_fissionable:
segments.append([start, f_int])
cross_sections.append(inner_material.macro_fission)
elif i == len(sorted_fission_indexes) - 1:
# test if end to last fission lixel is fissionable
normal = self.geometry.mesh.lixel_normal(f_ind)
sign = np.sign(np.dot(end - f_int, normal))
inner_material = self.geometry.get_inner_material(f_ind)
outer_material = self.geometry.get_outer_material(f_ind)
if sign > 0 and outer_material.is_fissionable:
segments.append([f_int, end])
cross_sections.append(outer_material.macro_fission)
elif sign < 0 and inner_material.is_fissionable:
segments.append([f_int, end])
cross_sections.append(inner_material.macro_fission)
continue
# test all intervening segments
normal_1 = self.geometry.mesh.lixel_normal(f_ind)
sign_1 = np.sign(np.dot(start - f_int, normal_1))
f_ind2 = sorted_fission_indexes[i + 1]
f_int2 = sorted_fission_intercepts[i + 1]
normal_2 = self.geometry.mesh.lixel_normal(f_ind2)
sign_2 = np.sign(np.dot(start - f_int2, normal_2))
if sign_1 > 0:
mat_1 = self.geometry.get_inner_material(f_ind)
else:
mat_1 = self.geometry.get_outer_material(f_ind)
if sign_2 < 0:
mat_2 = self.geometry.get_inner_material(f_ind)
else:
mat_2 = self.geometry.get_outer_material(f_ind)
if mat_1.is_fissionable and mat_2.is_fissionable:
if mat_1.macro_fission != mat_2.macro_fission:
raise NotImplementedError
segments.append([f_int, f_int2])
cross_sections.append(mat_1.macro_fission)
return segments, cross_sections
def scan(self, angles=[0], nbins=100):
atten_length = np.zeros((nbins, len(angles)))
detector_bins = self.detector.create_bins(nbins)
source = self.source
for i, angle in enumerate(angles):
rot = angle_matrix(angle)
rot_source = np.inner(source, rot)
rot_detector_bins = np.inner(detector_bins, rot)
for j, detector_bin in enumerate(rot_detector_bins):
atten_length[j, i] = self.attenuation_length(
rot_source, detector_bin)
return atten_length
def radon_transform(self, angles=[0]):
if type(self.detector) is not DetectorPlane:
raise TypeError('self.detector is not DetectorPlane')
detector_centers = (self.detector.segments[:, 0, :] +
self.detector.segments[:, 1, :]) / 2.
radon = np.zeros((np.size(detector_centers, 0), len(angles)))
source_bins = np.inner(detector_centers,
math2d.angle_matrix(180.))[::-1]
for i, angle in enumerate(angles):
print i, len(angles)
rot = math2d.angle_matrix(angle)
rot_source = np.inner(source_bins, rot)
rot_detector = np.inner(detector_centers, rot)
for j in xrange(len(rot_detector)):
radon[j, i] = self.attenuation_length(rot_source[j],
rot_detector[j])
return radon
def draw(self, draw_normals=False):
self.geometry.draw(draw_normals)
if self.source is not None:
plt.scatter(self.source[0],
self.source[1],
color='red',
marker='x')
self.detector.draw(draw_normals)
plt.axis('equal')
plt.xlabel('X (cm)')
plt.ylabel('Y (cm)')
class Simulation(object):
def __init__(self, universe_material, nbins, diameter=100., detector_width=100., detector='plane'):
self.universe_material = universe_material
self.geometry = Geometry()
self.source = np.array([-diameter / 2., 0.])
if detector == 'plane':
self.detector = DetectorPlane([diameter / 2., 0.], detector_width, nbins)
elif detector == 'arc':
self.detector = DetectorArc(self.source, diameter, detector_width / 2., -detector_width / 2., nbins)
def get_intersecting_segments(self, start, end, ray=False):
"""
Find intersection points and lixels which intersect ray (start, end).
"""
intercepts, indexes = [], []
intersect_segment = np.array([start, end])
for i, segment in enumerate(self.geometry.mesh.segments):
intercept = math2d.intersect(segment, intersect_segment, ray)
if intercept is not None:
intercepts.append(intercept)
indexes.append(i)
return intercepts, indexes
def attenuation_length(self, start, end):
"""
Calculate attenuation length for geometry.
Can account for starting and ending in any position.
"""
intercepts, indexes = self.get_intersecting_segments(start, end)
if len(intercepts) == 0:
ray_intercepts, ray_indexes = self.get_intersecting_segments(start, end, ray=True)
if len(ray_intercepts) == 0:
return np.linalg.norm(start - end) * self.universe_material.attenuation
distances = np.linalg.norm(np.add(ray_intercepts, -start), axis=1)
distances_argmin = np.argmin(distances)
closest_index = ray_indexes[distances_argmin]
closest_intercept = ray_intercepts[distances_argmin]
closest_normal = math2d.normal(self.geometry.mesh.segments[closest_index])
start_sign = np.sign(np.dot(start - closest_intercept, closest_normal))
if start_sign > 0:
outer_atten = self.geometry.outer_materials[closest_index].attenuation
atten_length = np.linalg.norm(start - end) * outer_atten
else:
inner_atten = self.geometry.inner_materials[closest_index].attenuation
atten_length = np.linalg.norm(start - end) * inner_atten
return atten_length
distances = np.linalg.norm(np.add(intercepts, -start), axis=1)
distances_argmin = np.argmin(distances)
closest_index = indexes[distances_argmin]
closest_intercept = intercepts[distances_argmin]
closest_normal = math2d.normal(self.geometry.mesh.segments[closest_index])
start_sign = np.sign(np.dot(start - closest_intercept, closest_normal))
if start_sign > 0:
outer_atten = self.geometry.outer_materials[closest_index].attenuation
atten_length = np.linalg.norm(start - end) * outer_atten
else:
inner_atten = self.geometry.inner_materials[closest_index].attenuation
atten_length = np.linalg.norm(start - end) * inner_atten
for intercept, index in zip(intercepts, indexes):
normal = math2d.normal(self.geometry.mesh.segments[index])
start_sign = np.sign(np.dot(start - intercept, normal))
end_sign = np.sign(np.dot(end - intercept, normal))
inner_atten = self.geometry.inner_materials[index].attenuation
outer_atten = self.geometry.outer_materials[index].attenuation
atten_length += start_sign * np.linalg.norm(intercept - end) * (inner_atten - outer_atten)
return atten_length
def fission_segments(self, start, end):
"""
Return list of line segments where fissions may occur.
"""
segments, cross_sections = [], []
intercepts, indexes = self.get_intersecting_lixels(start, end)
# otherwise
fission_indexes = []
fission_intercepts = []
for index, intercept in zip(indexes, intercepts):
# test if lixel is border of fissionable material(s)
inner_material = self.geometry.get_inner_material(index)
outer_material = self.geometry.get_outer_material(index)
if inner_material.is_fissionable or outer_material.is_fissionable:
fission_indexes.append(index)
fission_intercepts.append(intercept)
# account for no intersections with fissionable materials
if len(fission_intercepts) == 0:
return segments, cross_sections
# sort fission_indexes and fission_intercepts by distance from start
distances = np.linalg.norm(np.add(fission_intercepts, -start), axis=1)
distance_order = [index_ for (distance_, index_) in sorted(zip(distances, range(len(distances))))]
sorted_fission_indexes = [fission_indexes[i] for i in distance_order]
sorted_fission_intercepts = [fission_intercepts[i] for i in distance_order]
for i in xrange(len(sorted_fission_indexes)):
f_ind = sorted_fission_indexes[i]
f_int = sorted_fission_intercepts[i]
if i == 0:
# test if start to first fission lixel is fissionable
normal = self.geometry.mesh.lixel_normal(f_ind)
sign = np.sign(np.dot(start - f_int, normal))
inner_material = self.geometry.get_inner_material(f_ind)
outer_material = self.geometry.get_outer_material(f_ind)
if sign > 0 and outer_material.is_fissionable:
segments.append([start, f_int])
cross_sections.append(outer_material.macro_fission)
elif sign < 0 and inner_material.is_fissionable:
segments.append([start, f_int])
cross_sections.append(inner_material.macro_fission)
elif i == len(sorted_fission_indexes)-1:
# test if end to last fission lixel is fissionable
normal = self.geometry.mesh.lixel_normal(f_ind)
sign = np.sign(np.dot(end - f_int, normal))
inner_material = self.geometry.get_inner_material(f_ind)
outer_material = self.geometry.get_outer_material(f_ind)
if sign > 0 and outer_material.is_fissionable:
segments.append([f_int, end])
cross_sections.append(outer_material.macro_fission)
elif sign < 0 and inner_material.is_fissionable:
segments.append([f_int, end])
cross_sections.append(inner_material.macro_fission)
continue
# test all intervening segments
normal_1 = self.geometry.mesh.lixel_normal(f_ind)
sign_1 = np.sign(np.dot(start - f_int, normal_1))
f_ind2 = sorted_fission_indexes[i+1]
f_int2 = sorted_fission_intercepts[i+1]
normal_2 = self.geometry.mesh.lixel_normal(f_ind2)
sign_2 = np.sign(np.dot(start - f_int2, normal_2))
if sign_1 > 0:
mat_1 = self.geometry.get_inner_material(f_ind)
else:
mat_1 = self.geometry.get_outer_material(f_ind)
if sign_2 < 0:
mat_2 = self.geometry.get_inner_material(f_ind)
else:
mat_2 = self.geometry.get_outer_material(f_ind)
if mat_1.is_fissionable and mat_2.is_fissionable:
if mat_1.macro_fission != mat_2.macro_fission:
raise NotImplementedError
segments.append([f_int, f_int2])
cross_sections.append(mat_1.macro_fission)
return segments, cross_sections
def scan(self, angles=[0], nbins=100):
atten_length = np.zeros((nbins, len(angles)))
detector_bins = self.detector.create_bins(nbins)
source = self.source
for i, angle in enumerate(angles):
rot = angle_matrix(angle)
rot_source = np.inner(source, rot)
rot_detector_bins = np.inner(detector_bins, rot)
for j, detector_bin in enumerate(rot_detector_bins):
atten_length[j, i] = self.attenuation_length(rot_source, detector_bin)
return atten_length
def radon_transform(self, angles=[0]):
if type(self.detector) is not DetectorPlane:
raise TypeError('self.detector is not DetectorPlane')
detector_centers = (self.detector.segments[:, 0, :] + self.detector.segments[:, 1, :]) / 2.
radon = np.zeros((np.size(detector_centers, 0), len(angles)))
source_bins = np.inner(detector_centers, math2d.angle_matrix(180.))[::-1]
for i, angle in enumerate(angles):
print i, len(angles)
rot = math2d.angle_matrix(angle)
rot_source = np.inner(source_bins, rot)
rot_detector = np.inner(detector_centers, rot)
for j in xrange(len(rot_detector)):
radon[j, i] = self.attenuation_length(rot_source[j], rot_detector[j])
return radon
def draw(self, draw_normals=False):
self.geometry.draw(draw_normals)
if self.source is not None:
plt.scatter(self.source[0], self.source[1], color='red', marker='x')
self.detector.draw(draw_normals)
plt.axis('equal')
plt.xlabel('X (cm)')
plt.ylabel('Y (cm)')