From 2b68231a6202c16db314f246f71b7c6691957742 Mon Sep 17 00:00:00 2001 From: HECKEL Claas Date: Wed, 1 Jun 2022 13:58:02 +0200 Subject: [PATCH 1/4] Add example and corresponding fmu Example for fmu-based parameter optimization --- fmpy/examples/optimize_eggholder_function.py | 254 +++++++++++++++++++ tests/resources/eggholder.fmu | Bin 0 -> 1553866 bytes 2 files changed, 254 insertions(+) create mode 100644 fmpy/examples/optimize_eggholder_function.py create mode 100644 tests/resources/eggholder.fmu diff --git a/fmpy/examples/optimize_eggholder_function.py b/fmpy/examples/optimize_eggholder_function.py new file mode 100644 index 00000000..a6505cc8 --- /dev/null +++ b/fmpy/examples/optimize_eggholder_function.py @@ -0,0 +1,254 @@ +"""This example shows the usage of a FMU in parameter optimizations. + +The global minimum of the Eggholder function is searched for. The Eggholder function is a test function for optimization +algorithms. It is implemented in two ways, in Python and in form of a FMU (written in Modelica, compiled with +Dymola 2023). + +Different optimization algorithms from the scipy.optimize package are compared with respect to their convergence +velocities and a plot is created in which the different solution paths can be traced.""" + +from builtins import ValueError + +import psutil +from scipy.optimize import differential_evolution, brute, shgo, dual_annealing +from scipy import optimize +from math import sin, sqrt +import numpy as np +import matplotlib.pyplot as plt +from matplotlib import cm +import fmpy +from fmpy import read_model_description, instantiate_fmu +from time import time + + +workers = psutil.cpu_count(logical=False) +bounds = [(-512, 512), + (-512, 512)] + + +def eggholder(x): + # https://www.sfu.ca/~ssurjano/egg.html + # Global minimum: eggholder([512, 404.2319]) = -959.6407 + y = -1*(x[1]+47)*sin(sqrt(abs(x[1]+x[0]/2+47)))-x[0]*sin(sqrt(abs(x[0]-(x[1]+47)))) + return y + + +def simulate_eggholder_fmu(x, unzipdir, model_description): + """ Simulates eggholder FMU and returns y(x). + """ + + # Create a lasting instance to avoid repeated re-instantiation when calling this function repeatedly + if not hasattr(simulate_eggholder_fmu, 'fmu_instance'): + simulate_eggholder_fmu.fmu_instance = instantiate_fmu(unzipdir=unzipdir, model_description=model_description) + else: + simulate_eggholder_fmu.fmu_instance.reset() + + res = fmpy.simulate_fmu(filename=unzipdir, + start_time=0, + stop_time=1, + output_interval=1, + start_values=dict(zip(['x1', 'x2'], x)), + model_description=model_description, + fmu_instance=simulate_eggholder_fmu.fmu_instance, + output=['y']) + + return res['y'][-1] + + +def optimize_eggholder(method='differential_evolution', use_fmu=True): + """ Optimizes the Eggholder function and returns the optimization results. + + Inputs: + - method: Select optimization algorithm. Selection options are: 'differential_evolution', 'brute', 'shgo' and + 'dual_annealing'. + - use_fmu: Select whether the FMU or the pure Python implementation should be used for the optimization. + """ + + if use_fmu: + unzipdir = fmpy.extract('../../tests/resources/eggholder.fmu') + model_description = read_model_description(unzipdir) + + if method == 'differential_evolution': + if use_fmu: + res = differential_evolution(func=simulate_eggholder_fmu, + bounds=bounds, + args=(unzipdir, model_description), + popsize=20, + mutation=1.1, + seed=1, + polish=True, + workers=workers, + updating='deferred') + else: + res = differential_evolution(func=eggholder, + bounds=bounds, + popsize=20, + mutation=1.1, + seed=1, + polish=True, + workers=workers, + updating='deferred') + elif method == 'brute': + if use_fmu: + res = brute(func=simulate_eggholder_fmu, + ranges=bounds, + args=(unzipdir, model_description), + Ns=200, + full_output=True, + finish=None, + workers=workers) + else: + res = brute(func=eggholder, + ranges=bounds, + Ns=200, + full_output=True, + finish=None, + workers=workers) + elif method == 'shgo': + if use_fmu: + res = shgo(func=simulate_eggholder_fmu, + bounds=bounds, + args=(unzipdir, model_description), + n=64, + sampling_method='sobol') + else: + res = shgo(func=eggholder, + bounds=bounds, + n=64, + sampling_method='sobol') + elif method == 'dual_annealing': + if use_fmu: + res = dual_annealing(func=simulate_eggholder_fmu, + bounds=bounds, + args=(unzipdir, model_description), + seed=4) + else: + res = dual_annealing(func=eggholder, + bounds=bounds, + seed=4) + else: + raise ValueError(f"Optimization method '{method}' not supported.") + + return res + + +_x_path = list() + + +def _callback(x, convergence=None, f=None, context=None): + _x_path.append(x) + + +def plot_eggholder(trace_de=False, trace_shgo=False, trace_da=False): + """ Create a plot of the eggholder function and, optionally, draws the optimization paths of the optimizers + 'differential_evolution', 'shgo' and 'dual_annelaing'. + + Input: + - trace_de: Select if trace of 'differential_evolution' algorithm is to be drawn + - trace_shgo: Select if trace of 'shgo' algorithm is to be drawn + - trace_da: Select if trace of 'dual_annealing' algorithm is to be drawn + """ + x1 = np.linspace(bounds[0][0], bounds[0][1], 1000) + x2 = np.linspace(bounds[1][0], bounds[1][1], 1000) + + X1, X2 = np.meshgrid(x1, x2) + Y = np.empty(X1.shape) + + for i in range(X1.shape[0]): + for j in range(X1.shape[1]): + Y[i, j] = eggholder([X1[i, j], X2[i, j]]) + + plt.contourf(X1, X2, Y, cmap=cm.YlGn) + plt.title('Eggholder function') + plt.xlabel("X1") + plt.ylabel("X2") + + if trace_de: + differential_evolution(func=eggholder, + bounds=bounds, + popsize=20, + mutation=1.1, + seed=1, + polish=False, + callback=_callback, + workers=workers, + updating='deferred') + plt.plot([i[0] for i in _x_path], + [i[1] for i in _x_path], + marker='x', + color='dodgerblue', + label='differential_evolution') + _x_path.clear() + + if trace_shgo: + shgo(func=eggholder, + bounds=bounds, + n=64, + sampling_method='sobol', + callback=_callback) + plt.plot([i[0] for i in _x_path], + [i[1] for i in _x_path], + marker='x', + color='orange', + label='shgo') + _x_path.clear() + + if trace_da: + dual_annealing(func=eggholder, + bounds=bounds, + seed=4, + callback=_callback) + plt.plot([i[0] for i in _x_path], + [i[1] for i in _x_path], + marker='x', + color='orchid', + label='dual_annealing') + _x_path.clear() + + plt.plot(512, 404.2319, marker='o', color='r', label='global minimum') + plt.legend() + plt.colorbar() + plt.show() + + +_start_time = 0 + + +def tic(): + global _start_time + _start_time = time() + + +def toc(): + elapsed_time = time() - _start_time + print(f"Elapsed time is {elapsed_time:.6f} seconds.") + + +if __name__ == "__main__": + print(f"Global minimum of eggholder function is {eggholder([512, 404.2319])} at [512, 404.2319].\n") + + tic() + res = optimize_eggholder(method='differential_evolution', use_fmu=True) + print(f"Optimization method 'differential_evolution' returns {res.fun} at {res.x}.") + toc() + print('') + + tic() + res = optimize_eggholder(method='brute', use_fmu=True) + print(f"Optimization method 'brute' returns {res[1]} at {res[0]}.") + toc() + print('') + + tic() + res = optimize_eggholder(method='shgo', use_fmu=True) + print(f"Optimization method 'shgo' returns {res.fun} at {res.x}.") + toc() + print('') + + tic() + res = optimize_eggholder(method='dual_annealing', use_fmu=True) + print(f"Optimization method 'dual_annealing' returns {res.fun} at {res.x}.") + toc() + print('') + + plot_eggholder(trace_de=True, trace_shgo=True, trace_da=True) diff --git a/tests/resources/eggholder.fmu b/tests/resources/eggholder.fmu new file mode 100644 index 0000000000000000000000000000000000000000..6fea2b12e15366c70d497bf891260bde72eada2f GIT binary patch literal 1553866 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tests/test_optimize_eggholder_function.py diff --git a/fmpy/examples/optimize_eggholder_function.py b/fmpy/examples/optimize_eggholder_function.py index a6505cc8..b1068aeb 100644 --- a/fmpy/examples/optimize_eggholder_function.py +++ b/fmpy/examples/optimize_eggholder_function.py @@ -1,8 +1,7 @@ """This example shows the usage of a FMU in parameter optimizations. -The global minimum of the Eggholder function is searched for. The Eggholder function is a test function for optimization -algorithms. It is implemented in two ways, in Python and in form of a FMU (written in Modelica, compiled with -Dymola 2023). +The global minimum of the Eggholder function is searched for. It is implemented in two ways, in Python and in form of a +FMU (written in Modelica, compiled with Dymola 2023). Different optimization algorithms from the scipy.optimize package are compared with respect to their convergence velocities and a plot is created in which the different solution paths can be traced.""" @@ -11,7 +10,6 @@ import psutil from scipy.optimize import differential_evolution, brute, shgo, dual_annealing -from scipy import optimize from math import sin, sqrt import numpy as np import matplotlib.pyplot as plt @@ -19,6 +17,7 @@ import fmpy from fmpy import read_model_description, instantiate_fmu from time import time +import os workers = psutil.cpu_count(logical=False) @@ -65,7 +64,8 @@ def optimize_eggholder(method='differential_evolution', use_fmu=True): """ if use_fmu: - unzipdir = fmpy.extract('../../tests/resources/eggholder.fmu') + #unzipdir = fmpy.extract('../../tests/resources/eggholder.fmu') + unzipdir = fmpy.extract(os.path.join(os.path.dirname(__file__), '..', '..', 'tests', 'resources', 'eggholder.fmu')) model_description = read_model_description(unzipdir) if method == 'differential_evolution': @@ -132,11 +132,11 @@ def optimize_eggholder(method='differential_evolution', use_fmu=True): return res -_x_path = list() +_x_trace = list() def _callback(x, convergence=None, f=None, context=None): - _x_path.append(x) + _x_trace.append(x) def plot_eggholder(trace_de=False, trace_shgo=False, trace_da=False): @@ -173,37 +173,38 @@ def plot_eggholder(trace_de=False, trace_shgo=False, trace_da=False): callback=_callback, workers=workers, updating='deferred') - plt.plot([i[0] for i in _x_path], - [i[1] for i in _x_path], + plt.plot([i[0] for i in _x_trace], + [i[1] for i in _x_trace], marker='x', color='dodgerblue', label='differential_evolution') - _x_path.clear() + _x_trace.clear() if trace_shgo: shgo(func=eggholder, bounds=bounds, n=64, sampling_method='sobol', - callback=_callback) - plt.plot([i[0] for i in _x_path], - [i[1] for i in _x_path], + callback=_callback, + minimizer_kwargs={'disp': False}) + plt.plot([i[0] for i in _x_trace], + [i[1] for i in _x_trace], marker='x', color='orange', label='shgo') - _x_path.clear() + _x_trace.clear() if trace_da: dual_annealing(func=eggholder, bounds=bounds, seed=4, callback=_callback) - plt.plot([i[0] for i in _x_path], - [i[1] for i in _x_path], + plt.plot([i[0] for i in _x_trace], + [i[1] for i in _x_trace], marker='x', color='orchid', label='dual_annealing') - _x_path.clear() + _x_trace.clear() plt.plot(512, 404.2319, marker='o', color='r', label='global minimum') plt.legend() diff --git a/tests/test_optimize_eggholder_function.py b/tests/test_optimize_eggholder_function.py new file mode 100644 index 00000000..77260697 --- /dev/null +++ b/tests/test_optimize_eggholder_function.py @@ -0,0 +1,46 @@ +import unittest +from fmpy.examples import optimize_eggholder_function as example +import fmpy +import os + + +class TestOptimizeEggholderFunction(unittest.TestCase): + + def test_eggholder(self): + self.assertEqual(example.eggholder([0, 0]), -25.460337185286313) + + def test_simulate_eggholder_fmu(self): + unzipdir = fmpy.extract(os.path.join(os.path.dirname(__file__), 'resources', 'eggholder.fmu')) + model_description = fmpy.read_model_description(unzipdir) + + self.assertEqual(example.simulate_eggholder_fmu(x=[0, 0], unzipdir=unzipdir, model_description=model_description), -25.460337185286313) + + def test_optimize_eggholder_fmu(self): + + res = example.optimize_eggholder(method='differential_evolution', use_fmu=True) + self.assertEqual(res.fun, -959.640662720845) + + res = example.optimize_eggholder(method='brute', use_fmu=True) + self.assertEqual(res[1], -959.5438520986913) + + res = example.optimize_eggholder(method='shgo', use_fmu=True) + self.assertEqual(res.fun, -959.6406627208441) + + res = example.optimize_eggholder(method='dual_annealing', use_fmu=True) + self.assertEqual(res.fun, -959.6406627208398) + + res = example.optimize_eggholder(method='differential_evolution', use_fmu=False) + self.assertEqual(res.fun, -959.640662720845) + + res = example.optimize_eggholder(method='brute', use_fmu=False) + self.assertEqual(res[1], -959.5438520986913) + + res = example.optimize_eggholder(method='shgo', use_fmu=False) + self.assertEqual(res.fun, -959.6406627208441) + + res = example.optimize_eggholder(method='dual_annealing', use_fmu=False) + self.assertEqual(res.fun, -959.6406627208398) + + def test_optimize_eggholder_fmu_ValueError(self): + + self.assertRaises(ValueError, example.optimize_eggholder, 'unknown method') \ No newline at end of file From 03084610652f30c371130f50bf5b52d9fe41abce Mon Sep 17 00:00:00 2001 From: HECKEL Claas Date: Fri, 3 Jun 2022 07:43:44 +0200 Subject: [PATCH 3/4] Remove method 'brute" from optimization example Remove corresponding unittests --- fmpy/examples/optimize_eggholder_function.py | 49 ++++---------------- tests/test_optimize_eggholder_function.py | 6 --- 2 files changed, 8 insertions(+), 47 deletions(-) diff --git a/fmpy/examples/optimize_eggholder_function.py b/fmpy/examples/optimize_eggholder_function.py index b1068aeb..6558e0ce 100644 --- a/fmpy/examples/optimize_eggholder_function.py +++ b/fmpy/examples/optimize_eggholder_function.py @@ -9,7 +9,7 @@ from builtins import ValueError import psutil -from scipy.optimize import differential_evolution, brute, shgo, dual_annealing +from scipy.optimize import differential_evolution, shgo, dual_annealing from math import sin, sqrt import numpy as np import matplotlib.pyplot as plt @@ -58,7 +58,7 @@ def optimize_eggholder(method='differential_evolution', use_fmu=True): """ Optimizes the Eggholder function and returns the optimization results. Inputs: - - method: Select optimization algorithm. Selection options are: 'differential_evolution', 'brute', 'shgo' and + - method: Select optimization algorithm. Selection options are: 'differential_evolution', 'shgo' and 'dual_annealing'. - use_fmu: Select whether the FMU or the pure Python implementation should be used for the optimization. """ @@ -88,22 +88,6 @@ def optimize_eggholder(method='differential_evolution', use_fmu=True): polish=True, workers=workers, updating='deferred') - elif method == 'brute': - if use_fmu: - res = brute(func=simulate_eggholder_fmu, - ranges=bounds, - args=(unzipdir, model_description), - Ns=200, - full_output=True, - finish=None, - workers=workers) - else: - res = brute(func=eggholder, - ranges=bounds, - Ns=200, - full_output=True, - finish=None, - workers=workers) elif method == 'shgo': if use_fmu: res = shgo(func=simulate_eggholder_fmu, @@ -228,28 +212,11 @@ def toc(): if __name__ == "__main__": print(f"Global minimum of eggholder function is {eggholder([512, 404.2319])} at [512, 404.2319].\n") - tic() - res = optimize_eggholder(method='differential_evolution', use_fmu=True) - print(f"Optimization method 'differential_evolution' returns {res.fun} at {res.x}.") - toc() - print('') - - tic() - res = optimize_eggholder(method='brute', use_fmu=True) - print(f"Optimization method 'brute' returns {res[1]} at {res[0]}.") - toc() - print('') - - tic() - res = optimize_eggholder(method='shgo', use_fmu=True) - print(f"Optimization method 'shgo' returns {res.fun} at {res.x}.") - toc() - print('') - - tic() - res = optimize_eggholder(method='dual_annealing', use_fmu=True) - print(f"Optimization method 'dual_annealing' returns {res.fun} at {res.x}.") - toc() - print('') + for method in ['differential_evolution', 'shgo', 'dual_annealing']: + tic() + res = optimize_eggholder(method=method, use_fmu=True) + print(f"Optimization method {method} returns {res.fun} at {res.x}.") + toc() + print('') plot_eggholder(trace_de=True, trace_shgo=True, trace_da=True) diff --git a/tests/test_optimize_eggholder_function.py b/tests/test_optimize_eggholder_function.py index 77260697..86819e3f 100644 --- a/tests/test_optimize_eggholder_function.py +++ b/tests/test_optimize_eggholder_function.py @@ -20,9 +20,6 @@ def test_optimize_eggholder_fmu(self): res = example.optimize_eggholder(method='differential_evolution', use_fmu=True) self.assertEqual(res.fun, -959.640662720845) - res = example.optimize_eggholder(method='brute', use_fmu=True) - self.assertEqual(res[1], -959.5438520986913) - res = example.optimize_eggholder(method='shgo', use_fmu=True) self.assertEqual(res.fun, -959.6406627208441) @@ -32,9 +29,6 @@ def test_optimize_eggholder_fmu(self): res = example.optimize_eggholder(method='differential_evolution', use_fmu=False) self.assertEqual(res.fun, -959.640662720845) - res = example.optimize_eggholder(method='brute', use_fmu=False) - self.assertEqual(res[1], -959.5438520986913) - res = example.optimize_eggholder(method='shgo', use_fmu=False) self.assertEqual(res.fun, -959.6406627208441) From f91383e6e620221f49f5bcac47926f5cb5cf9c57 Mon Sep 17 00:00:00 2001 From: HECKEL Claas Date: Fri, 3 Jun 2022 10:29:54 +0200 Subject: [PATCH 4/4] Clean up --- fmpy/examples/optimize_eggholder_function.py | 1 - 1 file changed, 1 deletion(-) diff --git a/fmpy/examples/optimize_eggholder_function.py b/fmpy/examples/optimize_eggholder_function.py index 6558e0ce..118595a2 100644 --- a/fmpy/examples/optimize_eggholder_function.py +++ b/fmpy/examples/optimize_eggholder_function.py @@ -64,7 +64,6 @@ def optimize_eggholder(method='differential_evolution', use_fmu=True): """ if use_fmu: - #unzipdir = fmpy.extract('../../tests/resources/eggholder.fmu') unzipdir = fmpy.extract(os.path.join(os.path.dirname(__file__), '..', '..', 'tests', 'resources', 'eggholder.fmu')) model_description = read_model_description(unzipdir)

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