Source code for openpnm.network._network

import logging
import numpy as np
import scipy.sparse as sprs
import scipy.spatial as sptl
from openpnm.core import Domain
from openpnm import topotools
from openpnm.utils import Docorator
from openpnm.utils import Workspace
import openpnm.models.network as mods
logger = logging.getLogger(__name__)
ws = Workspace()
docstr = Docorator()


@docstr.get_sections(base='NetworkSettings', sections=['Parameters'])
@docstr.dedent
class NetworkSettings:
    r"""

    Parameters
    ----------
    %(BaseSettings.parameters)s
    """


[docs] @docstr.get_sections(base='Network', sections=['Parameters']) @docstr.dedent class Network(Domain): r""" This class contains the main functionality used by all networks. Parameters ---------- settings : dataclass-like or dict, optional User defined settings for the object to override defaults. Can be a dataclass-type object with settings stored as attributes or a python dicionary of key-value pairs. Settings are stored in the ``settings`` attribute of the object. name : str, optional A unique name to assign to the object for easier identification. If not given one will be generated. coords : array_like (optional) An Np-by-3 array of [x, y, z] coordinates for each pore conns : array_like (optional) An Nt-by-2 array of [head, tail] connections between pores Examples -------- >>> import openpnm as op >>> import numpy as np Create some pore coordinates and connections manually and assign to a Network instance. Consider a linear network of 4 pores and 3 throats: :: 0 ―― 1 ―― 3 ―― 2 >>> coords = np.array([[0, 0, 0], [1, 0, 0], [2, 0, 0], [3, 0, 0]]) >>> conns = np.array([[0, 1], [1, 3], [2, 3]]) >>> pn = op.network.Network(conns=conns, coords=coords) Networks have two required properties: 'pore.coords' and 'throat.conns'. These arrays indicate the spatial location of each pore, and which pores are connected to which. Without these the network object cannot function. >>> print(pn.props()) ―――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――― 1 : pore.coords 2 : throat.conns ―――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――――― The ``Network`` class has several methods for querying the topology. >>> Ps = pn.find_neighbor_pores(pores=1) >>> print(Ps) [0 3] >>> Ts = pn.find_neighbor_throats(pores=[0, 1]) >>> print(Ts) [0 1] >>> print(pn.num_neighbors(2)) [1] All of the topological queries are accomplished by inspecting the adjacency and incidence matrices. They are created on demand, and are stored for future use to save construction time. """ def __init__(self, conns=None, coords=None, name='net', **kwargs): super().__init__(name=name, **kwargs) self.settings._update(NetworkSettings()) self._am = {} self._im = {} if coords is not None: coords = np.array(coords) self['pore.coords'] = coords if conns is not None: conns = np.array(conns) self['throat.conns'] = conns self.add_model(propname='pore.coordination_number', model=mods.coordination_number, regen_mode='deferred', domain='all') self.add_model(propname='throat.spacing', model=mods.pore_to_pore_distance, regen_mode='deferred', domain='all') def _post_init(self, *args, **kwargs): # A collection of functions to run after initialization of a network topotools.label_faces(self, label=None) drop = ['pore.left', 'pore.right', 'pore.front', 'pore.back', 'pore.bottom', 'pore.top'] [self.pop(item) for item in list(self.keys()) if item in drop] def __setitem__(self, key, value): if key == 'throat.conns': if np.any(value[:, 0] > value[:, 1]): logger.warning('Converting throat.conns to be upper triangular') value = np.sort(value, axis=1) super().__setitem__(key, value)
[docs] def get_adjacency_matrix(self, fmt='coo'): r""" Adjacency matrix in the specified sparse format, with throat IDs indicating the non-zero values. Parameters ---------- fmt : str, default is 'coo' The sparse storage format to return. Options are: **'coo'** : This is the native format of OpenPNM's data **'lil'** : Enables row-wise slice of the matrix **'csr'** : Favored by most linear algebra routines **'dok'** : Enables subscript access of locations Notes ----- This method will only create the requested matrix in the specified format if one is not already saved on the object. If not present, this method will create and return the matrix, as well as store it for future use. To obtain a matrix with weights other than throat IDs at each non-zero location use ``create_adjacency_matrix``. To obtain the non-directed graph, with only upper-triangular entries, use ``sp.sparse.triu(am, k=1)``. """ # Retrieve existing matrix if available if fmt in self._am.keys(): am = self._am[fmt] else: am = self.create_adjacency_matrix(weights=self.Ts, fmt=fmt) self._am[fmt] = am return am
[docs] def get_incidence_matrix(self, fmt='coo'): r""" Incidence matrix in the specified sparse format, with pore IDs indicating the non-zero values. Parameters ---------- fmt : str, default is 'coo' The sparse storage format to return. Options are: **'coo'** : This is the native format of OpenPNM's data **'lil'** : Enables row-wise slice of the matrix **'csr'** : Favored by most linear algebra routines **'dok'** : Enables subscript access of locations Notes ----- This method will only create the requested matrix in the specified format if one is not already saved on the object. If not present, this method will create and return the matrix, as well as store it for future use. To obtain a matrix with weights other than pore IDs at each non-zero location use ``create_incidence_matrix``. """ if fmt in self._im.keys(): im = self._im[fmt] elif self._im.keys(): im = self._im[list(self._im.keys())[0]] tofmt = getattr(im, f"to{fmt}") im = tofmt() self._im[fmt] = im else: im = self.create_incidence_matrix(weights=self.Ts, fmt=fmt) self._im[fmt] = im return im
im = property(fget=get_incidence_matrix) am = property(fget=get_adjacency_matrix)
[docs] def create_adjacency_matrix(self, weights=None, fmt='coo', triu=False, drop_zeros=False): r""" Generates a weighted adjacency matrix in the desired sparse format Parameters ---------- weights : array_like, optional An array containing the throat values to enter into the matrix (in graph theory these are known as the 'weights'). If the array is Nt-long, it implies that the matrix is symmetric, so the upper and lower triangular regions are mirror images. If it is 2*Nt-long then it is assumed that the first Nt elements are for the upper triangle, and the last Nt element are for the lower triangular. If omitted, ones are used to create a standard adjacency matrix representing connectivity only. fmt : str, optional The sparse storage format to return. Options are: **'coo'** : This is the native format of OpenPNM's data **'lil'** : Enables row-wise slice of the matrix **'csr'** : Favored by most linear algebra routines **'dok'** : Enables subscript access of locations triu : bool, default is ``False`` If ``True``, the returned sparse matrix only contains the upper-triangular elements. This argument is ignored if the ``weights`` array is 2*Nt-long. drop_zeros : bool, default is ``False`` If ``True``, applies the ``eliminate_zeros`` method of the sparse array to remove all zero locations. Returns ------- An adjacency matrix in the specified Scipy sparse format. Notes ----- The adjacency matrix is used by OpenPNM for finding the pores connected to a give pore or set of pores. Specifically, an adjacency matrix has Np rows and Np columns. Each row represents a pore, containing non-zero values at the locations corresponding to the indices of the pores connected to that pore. The ``weights`` argument indicates what value to place at each location, with the default being 1's to simply indicate connections. Another useful option is throat indices, such that the data values on each row indicate which throats are connected to the pore. Examples -------- >>> import openpnm as op >>> pn = op.network.Cubic(shape=[5, 5, 5]) >>> weights = np.random.rand(pn.num_throats(), ) < 0.5 >>> am = pn.create_adjacency_matrix(weights=weights, fmt='csr') """ allowed_weights = [(self.Nt,), (2 * self.Nt,), (self.Nt, 2)] # Check if provided data is valid if weights is None: weights = np.ones((self.Nt,), dtype=int) elif np.shape(weights) not in allowed_weights: raise Exception('Received weights are of incorrect length') weights = np.array(weights) # Append row & col to each other, and data to itself conn = self['throat.conns'] row = conn[:, 0] col = conn[:, 1] if weights.shape == (2 * self.Nt): # The flip is necessary since we want [conns.T, reverse(conns).T].T row = np.append(row, conn[:, 1]) col = np.append(col, conn[:, 0]) elif weights.shape == (self.Nt, 2): # The flip is necessary since we want [conns.T, reverse(conns).T].T row = np.append(row, conn[:, 1]) col = np.append(col, conn[:, 0]) weights = weights.flatten(order='F') elif not triu: # The flip is necessary since we want [conns.T, reverse(conns).T].T row = np.append(row, conn[:, 1]) col = np.append(col, conn[:, 0]) weights = np.append(weights, weights) # Generate sparse adjacency matrix in 'coo' format temp = sprs.coo_matrix((weights, (row, col)), (self.Np, self.Np)) if drop_zeros: temp.eliminate_zeros() # Convert to requested format if fmt == 'coo': pass # temp is already in coo format elif fmt == 'csr': temp = temp.tocsr() elif fmt == 'lil': temp = temp.tolil() elif fmt == 'dok': temp = temp.todok() return temp
[docs] def create_incidence_matrix(self, weights=None, fmt='coo', drop_zeros=False): r""" Creates a weighted incidence matrix in the desired sparse format Parameters ---------- weights : array_like, optional An array containing the throat values to enter into the matrix (in graph theory these are known as the 'weights'). If omitted, ones are used to create a standard incidence matrix representing connectivity only. fmt : str, default is 'coo' The sparse storage format to return. Options are: **'coo'** : This is the native format of OpenPNM's data **'lil'** : Enables row-wise slice of the matrix **'csr'** : Favored by most linear algebra routines **'dok'** : Enables subscript access of locations drop_zeros : bool, default is ``False`` If ``True``, applies the ``eliminate_zeros`` method of the sparse array to remove all zero locations. Returns ------- sparse_array An incidence matrix in the specified sparse format Notes ----- The incidence matrix is a cousin to the adjacency matrix, and used by OpenPNM for finding the throats connected to a give pore or set of pores. Specifically, an incidence matrix has Np rows and Nt columns, and each row represents a pore, containing non-zero values at the locations corresponding to the indices of the throats connected to that pore. The ``weights`` argument indicates what value to place at each location, with the default being 1's to simply indicate connections. Another useful option is throat indices, such that the data values on each row indicate which throats are connected to the pore, though this is redundant as it is identical to the locations of non-zeros. Examples -------- >>> import openpnm as op >>> pn = op.network.Cubic(shape=[5, 5, 5]) >>> weights = np.random.rand(pn.num_throats(), ) < 0.5 >>> im = pn.create_incidence_matrix(weights=weights, fmt='csr') """ # Check if provided data is valid if weights is None: weights = np.ones((self.Nt,), dtype=int) if np.shape(weights)[0] == self.Nt: weights = np.append(weights, weights) elif np.shape(weights)[0] != 2*self.Nt: raise Exception('Received dataset of incorrect length') conn = self['throat.conns'] row = conn[:, 1] row = np.append(row, conn[:, 0]) col = np.arange(self.Nt) col = np.append(col, col) temp = sprs.coo.coo_matrix((weights, (row, col)), (self.Np, self.Nt)) if drop_zeros: temp.eliminate_zeros() # Convert to requested format if fmt == 'coo': pass # temp is already in coo format elif fmt == 'csr': temp = temp.tocsr() elif fmt == 'lil': temp = temp.tolil() elif fmt == 'dok': temp = temp.todok() return temp
[docs] def find_connected_pores(self, throats=[], flatten=False, mode='or'): r""" Return a list of pores connected to the given list of throats Parameters ---------- throats : array_like List of throats numbers flatten : bool, optional If ``True`` (default) a 1D array of unique pore numbers is returned. If ``False`` each location in the the returned array contains a sub-arras of neighboring pores for each input throat, in the order they were sent. mode : str Specifies logic to filter the resulting list. Options are: =========== ===================================================== mode meaning =========== ===================================================== 'or' All neighbors of the input pores. Also accepts 'any' and 'union'. 'xor' Only neighbors of one and only one input pore. This is useful for counting the pores that are not shared by any of the input pores. Also accepts 'exclusive_or'. 'xnor' Neighbors that are shared by two or more input pores. This is equivalent to counting all neighbors with 'or', minus those found with 'xor', and is useful for finding neighbors that the inputs have in common. 'and' Only neighbors shared by all input pores. Also accepts 'intersection' and 'all' =========== ===================================================== Returns ------- 1D array (if ``flatten`` is ``True``) or ndarray of arrays (if ``flatten`` is ``False``) Examples -------- >>> import openpnm as op >>> pn = op.network.Cubic(shape=[5, 5, 5]) >>> Ps = pn.find_connected_pores(throats=[0, 1]) >>> print(Ps) [[0 1] [1 2]] >>> Ps = pn.find_connected_pores(throats=[0, 1], flatten=True) >>> print(Ps) [0 1 2] """ Ts = self._parse_indices(throats) pores = topotools.find_connected_sites(bonds=Ts, network=self, flatten=flatten, logic=mode) return pores
[docs] def find_connecting_throat(self, P1, P2): r""" Return the throat index connecting pairs of pores. Parameters ---------- P1 : array_like The indices of the pores whose throats are sought. These can be vectors of indices, but must be the same length P2 : array_like The indices of the pores whose throats are sought. These can be vectors of indices, but must be the same length Returns ------- list Returns a list the same length as P1 (and P2) with the each element containing the throat index that connects the corresponding pores, or `None`` if pores are not connected. Notes ----- The returned list can be converted to an ndarray, which will convert the ``None`` values to ``nan``. These can then be found using ``numpy.isnan``. Examples -------- >>> import openpnm as op >>> pn = op.network.Cubic(shape=[5, 5, 5]) >>> Ts = pn.find_connecting_throat([0, 1, 2], [2, 2, 2]) >>> print(Ts) [nan 1. nan] """ sites = np.vstack((P1, P2)).T Ts = topotools.find_connecting_bonds(sites=sites, network=self) return Ts
[docs] def find_neighbor_pores(self, pores, mode='or', flatten=True, include_input=False, asmask=False): r""" Returns a list of pores that are direct neighbors to the given pore(s) Parameters ---------- pores : array_like Indices of the pores whose neighbors are sought flatten : bool If ``True`` (default) the returned result is a compressed array of all neighbors. If ``False``, a list of lists with each sub-list containing the neighbors for each input site. Note that an *unflattened* list might be slow to generate since it is a Python ``list`` rather than a Numpy ``array``. include_input : bool If ``False`` (default) then the input pores are not included in the returned list(s). Note that since pores are not neighbors of themselves, the neighbors of pore N will not include N, even if this flag is ``True``. mode : str Specifies logic to filter the resulting list. Options are: =========== ===================================================== mode meaning =========== ===================================================== 'or' All neighbors of the input pores. Also accepts 'any' and 'union'. 'xor' Only neighbors of one and only one input pore. This is useful for counting the pores that are not shared by any of the input pores. Also accepts 'exclusive_or'. 'xnor' Neighbors that are shared by two or more input pores. This is equivalent to counting all neighbors with 'or', minus those found with 'xor', and is useful for finding neighbors that the inputs have in common. 'and' Only neighbors shared by all input pores. Also accepts 'intersection' and 'all' =========== ===================================================== asmask : boolean If ``False`` (default), the returned result is a list of the neighboring pores as indices. If ``True``, the returned result is a boolean mask. (Useful for labelling) Returns ------- If ``flatten`` is ``True``, returns a 1D array of pore indices filtered according to the specified mode. If ``flatten`` is ``False``, returns a list of lists, where each list contains the neighbors of the corresponding input pores. Notes ----- The ``logic`` options are applied to neighboring pores only, thus it is not possible to obtain pores that are part of the global set but not neighbors. This is because (a) the list of global pores might be very large, and (b) it is not possible to return a list of neighbors for each input pores if global pores are considered. Examples -------- >>> import openpnm as op >>> pn = op.network.Cubic(shape=[5, 5, 5]) >>> Ps = pn.find_neighbor_pores(pores=[0, 2]) >>> print(Ps) [ 1 3 5 7 25 27] >>> Ps = pn.find_neighbor_pores(pores=[0, 1]) >>> print(Ps) [ 2 5 6 25 26] >>> Ps = pn.find_neighbor_pores(pores=[0, 1], mode='or', ... include_input=True) >>> print(Ps) [ 0 1 2 5 6 25 26] >>> Ps = pn.find_neighbor_pores(pores=[0, 2], flatten=False) >>> print(Ps[0]) [ 1 5 25] >>> print(Ps[1]) [ 1 3 7 27] >>> Ps = pn.find_neighbor_pores(pores=[0, 2], mode='xnor') >>> print(Ps) [1] >>> Ps = pn.find_neighbor_pores(pores=[0, 2], mode='xor') >>> print(Ps) [ 3 5 7 25 27] """ pores = self._parse_indices(pores) if np.size(pores) == 0: return np.array([], ndmin=1, dtype=int) neighbors = topotools.find_neighbor_sites(sites=pores, logic=mode, network=self, flatten=flatten, include_input=include_input) if asmask is False: return neighbors elif flatten is True: neighbors = self._tomask(element='pore', indices=neighbors) return neighbors else: raise Exception('Cannot create mask on an unflattened output')
[docs] def find_neighbor_throats(self, pores, mode='or', flatten=True, asmask=False): r""" Returns a list of throats neighboring the given pore(s) Parameters ---------- pores : array_like Indices of pores whose neighbors are sought flatten : bool, optional If ``True`` (default) a 1D array of unique throat indices is returned. If ``False`` the returned array contains arrays of neighboring throat indices for each input pore, in the order they were sent. mode : str Specifies logic to filter the resulting list. Options are: =========== ===================================================== mode meaning =========== ===================================================== 'or' (default) All neighbors of the input throats. Also accepts 'any' and 'union'. 'xor' Only neighbors of one and only one input throats. This is useful for counting the pores that are not shared by any of the input pores. Also accepts 'exclusive_or'. 'xnor' Neighbors that are shared by two or more input throats. This is equivalent to counting all neighbors with 'or', minus those found with 'xor', and is useful for finding neighbors that the inputs have in common. 'and' Only neighbors shared by all input throats. Also accepts 'intersection' and 'all' =========== ===================================================== asmask : boolean If ``False`` (default), the returned result is a list of the neighboring throats as indices. If ``True``, the returned result is a boolean mask. (Useful for labelling) Returns ------- If ``flatten`` is ``True``, returns a 1D array of throat indices filtered according to the specified mode. If ``flatten`` is ``False``, returns a list of lists, where each list contains the neighbors of the corresponding input pores. Notes ----- The ``logic`` options are applied to neighboring bonds only, thus it is not possible to obtain bonds that are part of the global set but not neighbors. This is because (a) the list of global bonds might be very large, and (b) it is not possible to return a list of neighbors for each input site if global sites are considered. Examples -------- >>> import openpnm as op >>> pn = op.network.Cubic(shape=[5, 5, 5]) >>> Ts = pn.find_neighbor_throats(pores=[0, 1]) >>> print(Ts) [ 0 1 100 101 200 201] >>> Ts = pn.find_neighbor_throats(pores=[0, 1], flatten=False) >>> print(Ts[0]) [ 0 100 200] >>> print(Ts[1]) [ 0 1 101 201] """ pores = self._parse_indices(pores) if np.size(pores) == 0: return np.array([], ndmin=1, dtype=int) if flatten is False: neighbors = topotools.find_neighbor_bonds(sites=pores, logic=mode, network=self, flatten=flatten) else: neighbors = topotools.find_neighbor_bonds(sites=pores, logic=mode, network=self, flatten=True) if asmask is False: return neighbors elif flatten is True: neighbors = self._tomask(element='throat', indices=neighbors) return neighbors else: raise Exception('Cannot create mask on an unflattened output')
[docs] def num_neighbors(self, pores, mode='or', flatten=False): r""" Returns the number of neigbhoring pores for each given input pore Parameters ---------- pores : array_like Pores whose neighbors are to be counted flatten : bool, optional If ``False`` (default) the number of pores neighboring each input pore as an array the same length as ``pores``. If ``True`` the sum total number of is counted. mode : str The logic to apply to the returned count of pores: =========== ===================================================== mode meaning =========== ===================================================== 'or' (default) All neighbors of the input pores. Also accepts 'any' and 'union'. 'xor' Only neighbors of one and only one input pore. This is useful for counting the pores that are not shared by any of the input pores. Also accepts 'exclusive_or'. 'xnor' Neighbors that are shared by two or more input pores. This is equivalent to counting all neighbors with 'or', minus those found with 'xor', and is useful for finding neighbors that the inputs have in common. 'and' Only neighbors shared by all input pores. Also accepts 'intersection' and 'all' =========== ===================================================== Returns ------- If ``flatten`` is False, a 1D array with number of neighbors in each element, otherwise a scalar value of the number of neighbors. Notes ----- This method literally just counts the number of elements in the array returned by ``find_neighbor_pores`` using the same logic. Explore those methods if uncertain about the meaning of the ``mode`` argument here. See Also -------- find_neighbor_pores find_neighbor_throats Examples -------- >>> import openpnm as op >>> pn = op.network.Cubic(shape=[5, 5, 5]) >>> Np = pn.num_neighbors(pores=[0, 1], flatten=False) >>> print(Np) [3 4] >>> Np = pn.num_neighbors(pores=[0, 2], flatten=True) >>> print(Np) 6 >>> Np = pn.num_neighbors(pores=[0, 2], mode='and', flatten=True) >>> print(Np) 1 """ pores = self._parse_indices(pores) if flatten: # Count number of neighbors num = self.find_neighbor_pores(pores, flatten=flatten, mode=mode, include_input=True) num = np.size(num) else: # Could be done much faster if flatten == False am = self.create_adjacency_matrix(fmt="csr") num = am[pores].sum(axis=1).A1 return num
[docs] def find_nearby_pores(self, pores, r, flatten=False, include_input=False): r""" Find all pores within a given radial distance of the input pore(s) regardless of whether or not they are toplogically connected. Parameters ---------- pores : array_like The list of pores for whom nearby neighbors are to be found r : scalar The maximum radius within which the search should be performed include_input : bool Controls whether the input pores should be included in the list of pores nearby the *other pores* in the input list. So if ``pores=[1, 2]`` and 1 and 2 are within ``r`` of each other, then 1 will be included in the returned for pores near 2, and vice-versa *if* this argument is ``True``. The default is ``False``. flatten : bool If ``True`` returns a single list of all pores that match the criteria, otherwise returns an array containing a sub-array for each input pore, where each sub-array contains the pores that are nearby to each given input pore. The default is False. Returns ------- A list of pores which are within the given spatial distance. If a list of N pores is supplied, then a an N-long list of such lists is returned. The returned lists each contain the pore for which the neighbors were sought. Examples -------- >>> import openpnm as op >>> pn = op.network.Cubic(shape=[3, 3, 3]) >>> Ps = pn.find_nearby_pores(pores=[0, 1], r=1) >>> print(Ps[0]) [3 9] >>> print(Ps[1]) [ 2 4 10] >>> Ps = pn.find_nearby_pores(pores=[0, 1], r=0.5) >>> print(Ps) [array([], dtype=int64), array([], dtype=int64)] >>> Ps = pn.find_nearby_pores(pores=[0, 1], r=1, flatten=True) >>> print(Ps) [ 2 3 4 9 10] """ pores = self._parse_indices(pores) # Handle an empty array if given if np.size(pores) == 0: return np.array([], dtype=np.int64) if r <= 0: raise Exception('Provided distances should be greater than 0') # Create kdTree objects kd = sptl.cKDTree(self['pore.coords']) kd_pores = sptl.cKDTree(self['pore.coords'][pores]) # Perform search Ps_within_r = kd_pores.query_ball_tree(kd, r=r) # Remove self from each list for i, P in enumerate(Ps_within_r): Ps_within_r[i].remove(pores[i]) # Convert to flattened list by default temp = np.concatenate((Ps_within_r)) Pn = np.unique(temp).astype(np.int64) # Remove inputs if necessary if include_input is False: Pn = Pn[~np.in1d(Pn, pores)] # Convert list of lists to a list of ndarrays if flatten is False: if len(Pn) == 0: # Deal with no nearby neighbors Pn = [np.array([], dtype=np.int64) for i in pores] else: mask = np.zeros(shape=np.amax((Pn.max(), pores.max())) + 1, dtype=bool) mask[Pn] = True temp = [] for item in Ps_within_r: temp.append(np.array(item, dtype=np.int64)[mask[item]]) Pn = temp return Pn
@property def info(self): hr = '―' * 78 errmsg = '--------- ! --------- ! ---------\n' pad = 45 lines = hr + '\n' # --- lines += 'Number of pores | throats: '.ljust(pad) lines += f"{self.Np} | {self.Nt} \n" # --- lines += 'Pore Coordination (min | mean | max): '.ljust(pad) try: x = self['pore.coordination_number'] lines += f"{x.min():.3E} | {x.mean():.3E} | {x.max():.3E} \n" except KeyError: lines += errmsg # --- lines += 'Pore Diameter (min | mean | max): '.ljust(pad) try: x = self['pore.diameter'] lines += f"{x.min():.3E} | {x.mean():.3E} | {x.max():.3E} \n" except KeyError: lines += errmsg # --- lines += 'Pore Spacing (min | mean | max): '.ljust(pad) try: x = self['throat.spacing'] lines += f"{x.min():.3E} | {x.mean():.3E} | {x.max():.3E} \n" except KeyError: lines += errmsg # --- lines += 'Throat Diameter (min | mean | max): '.ljust(pad) try: x = self['throat.diameter'] lines += f"{x.min():.3E} | {x.mean():.3E} | {x.max():.3E} \n" except KeyError: lines += errmsg # --- lines += 'Throat Length (min | mean | max): '.ljust(pad) try: x = self['throat.length'] lines += f"{x.min():.3E} | {x.mean():.3E} | {x.max():.3E} \n" except KeyError: lines += errmsg # --- lines += 'Throat Volume (min | mean | max): '.ljust(pad) try: x = self['throat.volume'] lines += f"{x.min():.3E} | {x.mean():.3E} | {x.max():.3E} \n" except KeyError: lines += errmsg # --- lines += hr print(lines) @property def conns(self): r"""Returns the connectivity matrix of the network.""" return self['throat.conns'] @property def coords(self): r"""Returns the list of pore coordinates of the network.""" return self['pore.coords']