Source code for pm4py.evaluation.soundness.woflan.place_invariants.utility

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import numpy as np

[docs]def removearray(L, arr): """ Remove an array from a given list and return the list with the removed element. :param L: list object :param arr: array that has to be removed :return: list object without array """ ind = 0 size = len(L) while ind != size and not np.array_equal(L[ind], arr): ind += 1 if ind != size: L.pop(ind) else: raise ValueError('array not found in list.')
[docs]def transform_basis(basis, style=None): """ We construct a (I)LP to transform our basis into a set of vectors by using linear combination to fit certain styles/ properties :param basis: list of p-invariants. Commonly computed by the method 'compute_place_invariants' in :param style: String that is used to construct certain constraints At the moment, 'uniform' (all weights have value 0 or 1), and 'weighted' (all weights are >=0) are supported :return: List of p-invariants that fits the style """ import pulp if style==None: style='weighted' # First, we want to check if a vector of a basis only contains non-positve entries. If so, then we multiply the # vector -1. modified_base = [] for vector in basis: all_non_positiv = True for entry in vector: if entry > 0: all_non_positiv = False if all_non_positiv: modified_base.append(-1 * vector) else: modified_base.append(vector) #For uniform variants, it is necessary that the weight for a place is either 0 or 1. We collect the variants for #which this condition does not hold. We also collect the variants for the weighted invariants the entry is <0. to_modify = [] for vector in modified_base: for entry in vector: if ((entry < 0 or entry > 1) and style=='uniform') or ( entry < 0 and style=='weighted'): to_modify.append(vector) break # if we have nothing to modify, we are done if len(to_modify) > 0: for vector in to_modify: removearray(modified_base, vector) set_B = range(0, len(modified_base)) prob = pulp.LpProblem("linear_combination", pulp.LpMinimize) X = pulp.LpVariable.dicts("x", set_B, cat='Integer') y = pulp.LpVariable("y", cat='Integer', lowBound=1) # add objective prob += pulp.lpSum(X[i] for i in set_B) if style=='uniform': # variables for uniform. Therefore, the resulting weight can either be 0 or 1 z = pulp.LpVariable.dicts("z", range(0, len(vector)), lowBound=0, upBound=1, cat='Integer') # add constraints for i in range(len(vector)): prob += pulp.lpSum(X[j]*modified_base[j][i] for j in range(len(modified_base)))+y*vector[i]== z[i] elif style=='weighted': for i in range(len(vector)): prob += pulp.lpSum(X[j]*modified_base[j][i] for j in range(len(modified_base)))+y*vector[i] >= 0 prob.solve() new_vector = np.zeros(len(vector)) if style=='weighted': for i in range(len(new_vector)): new_vector[i] = y.varValue * vector[i] for j in range(len(modified_base)): new_vector[i] = new_vector[i] + modified_base[j][i] * X[j].varValue elif style=='uniform': for i in range(len(new_vector)): new_vector[i] = z[i].varValue modified_base.append(new_vector) return modified_base
[docs]def compute_uncovered_places(invariants, net): """ Compute a list of uncovered places for invariants of a given Petri Net. Note that there exists a separate algorithm for s-components :param invariants: list of invariants. Each invariants is a numpy-Array representation :param net: Petri Net object of PM4Py :return: List of uncovered place over all invariants """ place_list=list(net.places) unncovered_list=place_list.copy() for invariant in invariants: for index, value in enumerate(invariant): if value != 0: if place_list[index] in unncovered_list: unncovered_list.remove(place_list[index]) return unncovered_list