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Merge pull request #10 from vgoliber/add-numpy-version
Add numpy version
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# Copyright 2021 D-Wave Systems Inc. | ||
# | ||
# Licensed under the Apache License, Version 2.0 (the "License"); | ||
# you may not use this file except in compliance with the License. | ||
# You may obtain a copy of the License at | ||
# | ||
# http://www.apache.org/licenses/LICENSE-2.0 | ||
# | ||
# Unless required by applicable law or agreed to in writing, software | ||
# distributed under the License is distributed on an "AS IS" BASIS, | ||
# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. | ||
# See the License for the specific language governing permissions and | ||
# limitations under the License. | ||
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import numpy as np | ||
import dimod | ||
from dwave.system import LeapHybridSampler | ||
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import demo | ||
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def build_bqm(potential_new_cs_nodes, num_poi, pois, num_cs, charging_stations, num_new_cs): | ||
"""Build bqm that models our problem scenario using NumPy. | ||
Args: | ||
potential_new_cs_nodes (list of tuples of ints): | ||
Potential new charging locations | ||
num_poi (int): Number of points of interest | ||
pois (list of tuples of ints): A fixed set of points of interest | ||
num_cs (int): Number of existing charging stations | ||
charging_stations (list of tuples of ints): | ||
A fixed set of current charging locations | ||
num_new_cs (int): Number of new charging stations desired | ||
Returns: | ||
bqm_np (BinaryQuadraticModel): QUBO model for the input scenario | ||
""" | ||
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# Tunable parameters | ||
gamma1 = len(potential_new_cs_nodes) * 4. | ||
gamma2 = len(potential_new_cs_nodes) / 3. | ||
gamma3 = len(potential_new_cs_nodes) * 1.7 | ||
gamma4 = len(potential_new_cs_nodes) ** 3 | ||
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# Build BQM using adjVectors to find best new charging location s.t. min | ||
# distance to POIs and max distance to existing charging locations | ||
linear = np.zeros(len(potential_new_cs_nodes)) | ||
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nodes_array = np.asarray(potential_new_cs_nodes) | ||
pois_array = np.asarray(pois) | ||
cs_array = np.asarray(charging_stations) | ||
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# Constraint 1: Min average distance to POIs | ||
if num_poi > 0: | ||
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ct_matrix = (np.matmul(nodes_array, pois_array.T)*(-2.) | ||
+ np.sum(np.square(pois_array), axis=1).astype(float) | ||
+ np.sum(np.square(nodes_array), axis=1).reshape(-1,1).astype(float)) | ||
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linear += np.sum(ct_matrix, axis=1) / num_poi * gamma1 | ||
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# Constraint 2: Max distance to existing chargers | ||
if num_cs > 0: | ||
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dist_mat = (np.matmul(nodes_array, cs_array.T)*(-2.) | ||
+ np.sum(np.square(cs_array), axis=1).astype(float) | ||
+ np.sum(np.square(nodes_array), axis=1).reshape(-1,1).astype(float)) | ||
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linear += -1 * np.sum(dist_mat, axis=1) / num_cs * gamma2 | ||
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# Constraint 3: Max distance to other new charging locations | ||
if num_new_cs > 1: | ||
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dist_mat = -gamma3*((np.matmul(nodes_array, nodes_array.T)*(-2.) | ||
+ np.sum(np.square(nodes_array), axis=1)).astype(float) | ||
+ np.sum(np.square(nodes_array), axis=1).reshape(-1,1).astype(float)) | ||
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# Constraint 4: Choose exactly num_new_cs new charging locations | ||
linear += (1-2*num_new_cs)*gamma4 | ||
dist_mat += 2*gamma4 | ||
dist_mat = np.triu(dist_mat, k=1).flatten() | ||
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quad_col = np.tile(np.arange(len(potential_new_cs_nodes)), len(potential_new_cs_nodes)) | ||
quad_row = np.tile(np.arange(len(potential_new_cs_nodes)), | ||
(len(potential_new_cs_nodes),1)).flatten('F') | ||
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q2 = quad_col[dist_mat != 0] | ||
q1 = quad_row[dist_mat != 0] | ||
q3 = dist_mat[dist_mat != 0] | ||
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bqm_np = dimod.BinaryQuadraticModel.from_numpy_vectors(linear=linear, | ||
quadratic=(q1, q2, q3), | ||
offset=0, | ||
vartype=dimod.BINARY) | ||
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return bqm_np | ||
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if __name__ == '__main__': | ||
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# Collect user inputs | ||
args = demo.read_in_args() | ||
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# Build large grid graph for city | ||
G, pois, charging_stations, potential_new_cs_nodes = demo.set_up_scenario(args.width, | ||
args.height, | ||
args.poi, | ||
args.chargers) | ||
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# Build BQM | ||
bqm = build_bqm(potential_new_cs_nodes, | ||
args.poi, | ||
pois, | ||
args.chargers, | ||
charging_stations, | ||
args.new_chargers) | ||
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# Run BQM on HSS | ||
sampler = LeapHybridSampler() | ||
print("\nRunning scenario on", sampler.solver.id, "solver...") | ||
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new_charging_nodes = demo.run_bqm_and_collect_solutions(bqm, sampler, potential_new_cs_nodes) | ||
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# Print results to commnand-line for user | ||
demo.printout_solution_to_cmdline(pois, | ||
args.poi, | ||
charging_stations, | ||
args.chargers, | ||
new_charging_nodes, | ||
args.new_chargers) | ||
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# Create scenario output image | ||
demo.save_output_image(G, pois, charging_stations, new_charging_nodes) |
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