def project_data(self):
'''
Assign the sum of ``.integral``\* to each sensible point in the
``pyny.Space`` for the intervals that the points are visible to
the Sun.
The generated information is stored in:
* **.proj_vor** (*ndarray*): ``.integral`` projected to the
Voronoi diagram.
* **.proj_points** (*ndarray*): ``.integral`` projected to
the sensible points in the ``pyny.Space``.
:returns: None
.. note:: \* Trapezoidal data (``.arg_data``) integration over
time (``.arg_t``).
'''
from pyny3d.utils import sort_numpy
proj = self.light_vor.astype(float)
map_ = np.vstack((self.t2vor_map, self.integral)).T
map_sorted = sort_numpy(map_)
n_points = map_sorted.shape[0]
for i in range(proj.shape[0]):
a, b = np.searchsorted(map_sorted[:, 0], (i, i+1))
if b == n_points:
b = -1
proj[i, :] *= np.sum(map_sorted[a:b, 1])
self.proj_vor = np.sum(proj, axis=1)
self.proj_points = np.sum(proj, axis=0)
def project_data(self):
'''
Assign the sum of ``.integral``\* to each sensible point in the
``pyny.Space`` for the intervals that the points are visible to
the Sun.
The generated information is stored in:
* **.proj_vor** (*ndarray*): ``.integral`` projected to the
Voronoi diagram.
* **.proj_points** (*ndarray*): ``.integral`` projected to
the sensible points in the ``pyny.Space``.
:returns: None
.. note:: \* Trapezoidal data (``.arg_data``) integration over
time (``.arg_t``).
'''
from pyny3d.utils import sort_numpy
proj = self.light_vor.astype(float)
map_ = np.vstack((self.t2vor_map, self.integral)).T
map_sorted = sort_numpy(map_)
n_points = map_sorted.shape[0]
for i in range(proj.shape[0]):
a, b = np.searchsorted(map_sorted[:, 0], (i, i+1))
if b == n_points:
b = -1
proj[i, :] *= np.sum(map_sorted[a:b, 1])
self.proj_vor = np.sum(proj, axis=1)
self.proj_points = np.sum(proj, axis=0)
def compute_shadows(self):
"""
Computes the shadoing for the ``pyny.Space`` stored in
``.space`` for the time intervals and Sun positions stored in
``.arg_t`` and ``.sun_pos``, respectively.
The generated information is stored in:
* **.light_vor** (*ndarray (dtype=bool)*): Array with the
points in ``pyny.Space`` as columns and the discretized
Sun positions as rows. Indicates whether the points are
illuminated in each Sun position.
* **.light** (*ndarray (dtype=bool)*): The same as
``.light_vor`` but with the time intervals in ``.arg_t``
as rows instead of the Sun positions.
:returns: None
"""
from pyny3d.utils import sort_numpy, bool2index, index2bool
state = pyny.Polygon.verify
pyny.Polygon.verify = False
model = self.space
light = []
for sun in self.vor_centers:
# Rotation of the whole ``pyny.Space``
polygons_photo, _, points_to_eval = model.photo(sun, False)
# Auxiliar pyny.Surface to fast management of pip
Photo_surface = pyny.Surface(polygons_photo)
Photo_surface.lock()
# Sort/unsort points
n_points = points_to_eval.shape[0]
points_index_0 = np.arange(n_points) # _N indicates the depth level
points_to_eval, order_back = sort_numpy(points_to_eval, col=0,
order_back=True)
# Loop over the sorted (areas) Polygons
for i in model.sorted_areas:
p = points_to_eval[points_index_0][:, :2]
polygon_photo = Photo_surface[i]
index_1 = bool2index(polygon_photo.pip(p, sorted_col=0))
points_1 = points_to_eval[points_index_0[index_1]]
if points_1.shape[0] != 0:
# Rotation algebra
a, b, c = polygon_photo[:3, :]
R = np.array([b-a, c-a, np.cross(b-a, c-a)]).T
R_inv = np.linalg.inv(R)
Tr = a # Translation
# Reference point (between the Sun and the polygon)
reference_point = np.mean((a, b, c), axis=0)
reference_point[2] = reference_point[2] - 1
points_1 = np.vstack((points_1, reference_point))
points_over_polygon = np.dot(R_inv, (points_1-Tr).T).T
# Logical stuff
shadow_bool_2 = np.sign(points_over_polygon[:-1, 2]) != \
np.sign(points_over_polygon[-1, 2])
shadow_index_2 = bool2index(shadow_bool_2)
if shadow_index_2.shape[0] != 0:
points_to_remove = index_1[shadow_index_2]
points_index_0 = np.delete(points_index_0,
points_to_remove)
lighted_bool_0 = index2bool(points_index_0,
length=points_to_eval.shape[0])
# Updating the solution
light.append(lighted_bool_0[order_back])
# Storing the solution
self.light_vor = np.vstack(light)
self.light = self.light_vor[self.t2vor_map]
pyny.Polygon.verify = state
def Vonoroi_SH(self, mesh_size=0.1):
"""
Generates a equally spaced mesh on the Solar Horizont (SH).
Computes the Voronoi diagram from a set of points given by pairs
of (azimuth, zenit) values. This discretization completely
covers all the Sun positions.
The smaller mesh size, the better resolution obtained. It is
important to note that this heavily affects the performance.
The generated information is stored in:
* **.t2vor_map** (*ndarray*): Mapping between time vector and
the Voronoi diagram.
* **.vor_freq** (*ndarray*): Number of times a Sun position
is inside each polygon in the Voronoi diagram.
* **.vor_surf** (*``pyny.Surface``*): Voronoi diagram.
* **.vor_centers** (*ndarray`*): Mass center of the
``pyny.Polygons`` that form the Voronoi diagram.
:param mesh_size: Mesh size for the square discretization of the
Solar Horizont.
:type mesh_size: float (in radians)
:param plot: If True, generates a visualization of the Voronoi
diagram.
:type plot: bool
:returns: None
.. note:: In future versions this discretization will be
improved substantially. For now, it is quite rigid and only
admits square discretization.
"""
from scipy.spatial import Voronoi
from pyny3d.utils import sort_numpy
state = pyny.Polygon.verify
pyny.Polygon.verify = False
# Sort and remove NaNs
xy_sorted, order_back = sort_numpy(self.azimuth_zenit, col=1,
order_back=True)
# New grid
x1 = np.arange(-np.pi, np.pi, mesh_size)
y1 = np.arange(-mesh_size*2, np.pi/2+mesh_size*2, mesh_size)
x1, y1 = np.meshgrid(x1, y1)
centers = np.array([x1.ravel(), y1.ravel()]).T
# Voronoi
vor = Voronoi(centers)
# Setting the SH polygons
pyny_polygons = [pyny.Polygon(vor.vertices[v], False)
for v in vor.regions[1:] if len(v) > 3]
raw_surf = pyny.Surface(pyny_polygons)
# Classify data into the polygons discretization
map_ = raw_surf.classify(xy_sorted, edge=True, col=1,
already_sorted=True)
map_ = map_[order_back]
# Selecting polygons with points inside
vor = []
count = []
for i, poly_i in enumerate(np.unique(map_)[1:]):
vor.append(raw_surf[poly_i])
bool_0 = map_==poly_i
count.append(bool_0.sum())
map_[bool_0] = i
# Storing the information
self.t2vor_map = map_
self.vor_freq = np.array(count)
self.vor_surf = pyny.Surface(vor)
self.vor_centers = np.array([poly.get_centroid()[:2]
for poly in self.vor_surf])
pyny.Polygon.verify = state
def compute_shadows(self):
"""
Computes the shadoing for the ``pyny.Space`` stored in
``.space`` for the time intervals and Sun positions stored in
``.arg_t`` and ``.sun_pos``, respectively.
The generated information is stored in:
* **.light_vor** (*ndarray (dtype=bool)*): Array with the
points in ``pyny.Space`` as columns and the discretized
Sun positions as rows. Indicates whether the points are
illuminated in each Sun position.
* **.light** (*ndarray (dtype=bool)*): The same as
``.light_vor`` but with the time intervals in ``.arg_t``
as rows instead of the Sun positions.
:returns: None
"""
from pyny3d.utils import sort_numpy, bool2index, index2bool
state = pyny.Polygon.verify
pyny.Polygon.verify = False
model = self.space
light = []
for sun in self.vor_centers:
# Rotation of the whole ``pyny.Space``
polygons_photo, _, points_to_eval = model.photo(sun, False)
# Auxiliar pyny.Surface to fast management of pip
Photo_surface = pyny.Surface(polygons_photo)
Photo_surface.lock()
# Sort/unsort points
n_points = points_to_eval.shape[0]
points_index_0 = np.arange(n_points) # _N indicates the depth level
points_to_eval, order_back = sort_numpy(points_to_eval, col=0,
order_back=True)
# Loop over the sorted (areas) Polygons
for i in model.sorted_areas:
p = points_to_eval[points_index_0][:, :2]
polygon_photo = Photo_surface[i]
index_1 = bool2index(polygon_photo.pip(p, sorted_col=0))
points_1 = points_to_eval[points_index_0[index_1]]
if points_1.shape[0] != 0:
# Rotation algebra
a, b, c = polygon_photo[:3, :]
R = np.array([b-a, c-a, np.cross(b-a, c-a)]).T
R_inv = np.linalg.inv(R)
Tr = a # Translation
# Reference point (between the Sun and the polygon)
reference_point = np.mean((a, b, c), axis=0)
reference_point[2] = reference_point[2] - 1
points_1 = np.vstack((points_1, reference_point))
points_over_polygon = np.dot(R_inv, (points_1-Tr).T).T
# Logical stuff
shadow_bool_2 = np.sign(points_over_polygon[:-1, 2]) != \
np.sign(points_over_polygon[-1, 2])
shadow_index_2 = bool2index(shadow_bool_2)
if shadow_index_2.shape[0] != 0:
points_to_remove = index_1[shadow_index_2]
points_index_0 = np.delete(points_index_0,
points_to_remove)
lighted_bool_0 = index2bool(points_index_0,
length=points_to_eval.shape[0])
# Updating the solution
light.append(lighted_bool_0[order_back])
# Storing the solution
self.light_vor = np.vstack(light)
self.light = self.light_vor[self.t2vor_map]
pyny.Polygon.verify = state
def Vonoroi_SH(self, mesh_size=0.1):
"""
Generates a equally spaced mesh on the Solar Horizont (SH).
Computes the Voronoi diagram from a set of points given by pairs
of (azimuth, zenit) values. This discretization completely
covers all the Sun positions.
The smaller mesh size, the better resolution obtained. It is
important to note that this heavily affects the performance.
The generated information is stored in:
* **.t2vor_map** (*ndarray*): Mapping between time vector and
the Voronoi diagram.
* **.vor_freq** (*ndarray*): Number of times a Sun position
is inside each polygon in the Voronoi diagram.
* **.vor_surf** (*``pyny.Surface``*): Voronoi diagram.
* **.vor_centers** (*ndarray`*): Mass center of the
``pyny.Polygons`` that form the Voronoi diagram.
:param mesh_size: Mesh size for the square discretization of the
Solar Horizont.
:type mesh_size: float (in radians)
:param plot: If True, generates a visualization of the Voronoi
diagram.
:type plot: bool
:returns: None
.. note:: In future versions this discretization will be
improved substantially. For now, it is quite rigid and only
admits square discretization.
"""
from scipy.spatial import Voronoi
from pyny3d.utils import sort_numpy
state = pyny.Polygon.verify
pyny.Polygon.verify = False
# Sort and remove NaNs
xy_sorted, order_back = sort_numpy(self.azimuth_zenit, col=1,
order_back=True)
# New grid
x1 = np.arange(-np.pi, np.pi, mesh_size)
y1 = np.arange(-mesh_size*2, np.pi/2+mesh_size*2, mesh_size)
x1, y1 = np.meshgrid(x1, y1)
centers = np.array([x1.ravel(), y1.ravel()]).T
# Voronoi
vor = Voronoi(centers)
# Setting the SH polygons
pyny_polygons = [pyny.Polygon(vor.vertices[v], False)
for v in vor.regions[1:] if len(v) > 3]
raw_surf = pyny.Surface(pyny_polygons)
# Classify data into the polygons discretization
map_ = raw_surf.classify(xy_sorted, edge=True, col=1,
already_sorted=True)
map_ = map_[order_back]
# Selecting polygons with points inside
vor = []
count = []
for i, poly_i in enumerate(np.unique(map_)[1:]):
vor.append(raw_surf[poly_i])
bool_0 = map_==poly_i
count.append(bool_0.sum())
map_[bool_0] = i
# Storing the information
self.t2vor_map = map_
self.vor_freq = np.array(count)
self.vor_surf = pyny.Surface(vor)
self.vor_centers = np.array([poly.get_centroid()[:2]
for poly in self.vor_surf])
pyny.Polygon.verify = state