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Merge pull request #10 from vgoliber/add-numpy-version
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Add numpy version
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vgoliber authored Aug 20, 2021
2 parents 67b48c6 + 2d7f09f commit 04d221c
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21 changes: 12 additions & 9 deletions README.md
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Expand Up @@ -111,15 +111,18 @@ problems of a wide-variety of sizes. For more information on setting this
parameter, see D-Wave's [Problem Formulation
Guide](https://www.dwavesys.com/practical-quantum-computing-developers).

## Ocean Features

This code example utilizes Ocean's ```AdjVectorBQM``` functionality. For
smaller problems we can use Python dictionaries to store a BQM. However, for
large, real-world sized problems, using dictionaries to store the BQM biases
can become quite slow. Using NumPy arrays instead allows Python to run quickly,
and is much more efficient on large problems. The Ocean ```AdjVectorBQM```
functions allow the user to store biases as numpy arrays and load them quickly
to build a BQM object, suitable for both quantum and hybrid solvers.
## Faster BQM Construction

An alternative demo file, `demo_numpy.py`, shows how the BQM for this problem
can be constructed using NumPy arrays and vectors. Utilizing NumPy and matrix
operations allows for a much faster construction of the BQM than building it
with for-loops. As problem instances become larger and larger, it becomes more
and more important to efficiently build the BQM to save time in the
initialization and setup of the model. The chart below demonstrates the savings
in classical compute time when setting up the BQM for this problem using
for-loops versus using efficient NumPy operations in the Leap IDE.

![Classical comparison](readme_imgs/runtimes.png "Classical Runtime Comparison")

## References

Expand Down
78 changes: 72 additions & 6 deletions demo.py
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Expand Up @@ -28,7 +28,7 @@
import matplotlib.pyplot as plt

def read_in_args():
""" Read in user specified parameters or use defaults."""
"""Read in user specified parameters or use defaults."""

# Set up user-specified optional arguments
parser = argparse.ArgumentParser()
Expand Down Expand Up @@ -64,7 +64,22 @@ def read_in_args():
return args

def set_up_scenario(w, h, num_poi, num_cs):
""" Build scenario set up with specified parameters. """
"""Build scenario set up with specified parameters.
Args:
w (int): Width of grid
h (int): Height of grid
num_poi (int): Number of points of interest
num_cs (int): Number of existing charging stations
Returns:
G (networkx graph): Grid graph of size w by h
pois (list of tuples of ints): A fixed set of points of interest
charging_stations (list of tuples of ints):
Set of current charging locations
potential_new_cs_nodes (list of tuples of ints):
Potential new charging locations
"""

G = nx.grid_2d_graph(w, h)
nodes = list(G.nodes)
Expand All @@ -84,7 +99,21 @@ def distance(a, b):
return (a[0]**2 - 2*a[0]*b[0] + b[0]**2) + (a[1]**2 - 2*a[1]*b[1] + b[1]**2)

def build_bqm(potential_new_cs_nodes, num_poi, pois, num_cs, charging_stations, num_new_cs):
""" Build bqm that models our problem scenario for the hybrid sampler. """
"""Build bqm that models our problem scenario for the hybrid sampler.
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):
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
"""

# Tunable parameters
gamma1 = len(potential_new_cs_nodes) * 4
Expand All @@ -94,7 +123,7 @@ def build_bqm(potential_new_cs_nodes, num_poi, pois, num_cs, charging_stations,

# Build BQM using adjVectors to find best new charging location s.t. min
# distance to POIs and max distance to existing charging locations
bqm = dimod.AdjVectorBQM(len(potential_new_cs_nodes), 'BINARY')
bqm = dimod.BinaryQuadraticModel(len(potential_new_cs_nodes), 'BINARY')

# Constraint 1: Min average distance to POIs
if num_poi > 0:
Expand Down Expand Up @@ -128,7 +157,19 @@ def build_bqm(potential_new_cs_nodes, num_poi, pois, num_cs, charging_stations,
return bqm

def run_bqm_and_collect_solutions(bqm, sampler, potential_new_cs_nodes, **kwargs):
""" Solve the bqm with the provided sampler to find new charger locations. """
"""Solve the bqm with the provided sampler to find new charger locations.
Args:
bqm (BinaryQuadraticModel): The QUBO model for the problem instance
sampler: Sampler or solver to be used
potential_new_cs_nodes (list of tuples of ints):
Potential new charging locations
**kwargs: Sampler-specific parameters to be used
Returns:
new_charging_nodes (list of tuples of ints):
Locations of new charging stations
"""

sampleset = sampler.sample(bqm,
label='Example - EV Charger Placement',
Expand All @@ -140,7 +181,21 @@ def run_bqm_and_collect_solutions(bqm, sampler, potential_new_cs_nodes, **kwargs
return new_charging_nodes

def printout_solution_to_cmdline(pois, num_poi, charging_stations, num_cs, new_charging_nodes, num_new_cs):
""" Print solution statistics to command line. """
"""Print solution statistics to command line.
Args:
pois (list of tuples of ints): A fixed set of points of interest
num_poi (int): Number of points of interest
charging_stations (list of tuples of ints):
A fixed set of current charging locations
num_cs (int): Number of existing charging stations
new_charging_nodes (list of tuples of ints):
Locations of new charging stations
num_new_cs (int): Number of new charging stations desired
Returns:
None.
"""

print("\nSolution returned: \n------------------")

Expand Down Expand Up @@ -170,6 +225,17 @@ def save_output_image(G, pois, charging_stations, new_charging_nodes):
- Red nodes: current charger location
- Nodes marked 'P': POI locations
- Blue nodes: new charger locations
Args:
G (networkx graph): Grid graph of size w by h
pois (list of tuples of ints): A fixed set of points of interest
charging_stations (list of tuples of ints):
A fixed set of current charging locations
new_charging_nodes (list of tuples of ints):
Locations of new charging stations
Returns:
None. Output saved to file "map.png".
"""

fig, (ax1, ax2) = plt.subplots(1, 2)
Expand Down
131 changes: 131 additions & 0 deletions demo_numpy.py
Original file line number Diff line number Diff line change
@@ -0,0 +1,131 @@
# 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.

import numpy as np
import dimod
from dwave.system import LeapHybridSampler

import demo

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
"""

# 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

# 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))

nodes_array = np.asarray(potential_new_cs_nodes)
pois_array = np.asarray(pois)
cs_array = np.asarray(charging_stations)

# Constraint 1: Min average distance to POIs
if num_poi > 0:

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))

linear += np.sum(ct_matrix, axis=1) / num_poi * gamma1

# Constraint 2: Max distance to existing chargers
if num_cs > 0:

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))

linear += -1 * np.sum(dist_mat, axis=1) / num_cs * gamma2

# Constraint 3: Max distance to other new charging locations
if num_new_cs > 1:

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))

# 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()

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')

q2 = quad_col[dist_mat != 0]
q1 = quad_row[dist_mat != 0]
q3 = dist_mat[dist_mat != 0]

bqm_np = dimod.BinaryQuadraticModel.from_numpy_vectors(linear=linear,
quadratic=(q1, q2, q3),
offset=0,
vartype=dimod.BINARY)

return bqm_np

if __name__ == '__main__':

# Collect user inputs
args = demo.read_in_args()

# 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)

# Build BQM
bqm = build_bqm(potential_new_cs_nodes,
args.poi,
pois,
args.chargers,
charging_stations,
args.new_chargers)

# Run BQM on HSS
sampler = LeapHybridSampler()
print("\nRunning scenario on", sampler.solver.id, "solver...")

new_charging_nodes = demo.run_bqm_and_collect_solutions(bqm, sampler, potential_new_cs_nodes)

# 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)

# Create scenario output image
demo.save_output_image(G, pois, charging_stations, new_charging_nodes)
Binary file added readme_imgs/runtimes.png
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16 changes: 16 additions & 0 deletions tests/test_integration.py
Original file line number Diff line number Diff line change
Expand Up @@ -19,9 +19,11 @@
import random

import neal
import dimod
import numpy as np

import demo
import demo_numpy

project_dir = os.path.dirname(os.path.dirname(os.path.abspath(__file__)))

Expand Down Expand Up @@ -105,5 +107,19 @@ def test_solution_quality(self):

self.assertGreater(new_cs_dist, 10)

def test_same_bqm(self):
"""Run demo.py and demo_numpy.py with same inputs to check same BQM created."""

w, h = (random.randint(10,20), random.randint(10,20))
num_poi, num_cs, num_new_cs = (random.randint(1,4), random.randint(1,4), random.randint(1,4))

G, pois, charging_stations, potential_new_cs_nodes = demo.set_up_scenario(w, h, num_poi, num_cs)

bqm = demo.build_bqm(potential_new_cs_nodes, num_poi, pois, num_cs, charging_stations, num_new_cs)
bqm_np = demo_numpy.build_bqm(potential_new_cs_nodes, num_poi, pois, num_cs, charging_stations, num_new_cs)
bqm_np.add_offset(bqm.offset)

dimod.testing.asserts.assert_bqm_almost_equal(bqm, bqm_np)

if __name__ == '__main__':
unittest.main()

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