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16 kB
| import random | |
| import numpy as np | |
| import threading | |
| import panel as pn | |
| pn.extension(template='bootstrap') | |
| import holoviews as hv | |
| import time | |
| import pandas as pd | |
| from holoviews.streams import Stream | |
| hv.extension('bokeh', logo=False) | |
| # Particle class: Each particle will be an object of this class with all the properties defined in __init__() method | |
| class Particle(): | |
| # Method to initialize particle properties | |
| def __init__(self, initial): | |
| self.position = [] | |
| self.velocity = [] | |
| self.initial = initial | |
| self.best_position = [] | |
| self.best_error = float('inf') # Initialize best_error with infinity | |
| self.error = float('inf') # Initialize error with infinity | |
| self.num_dimensions = 2 | |
| for i in range(0, self.num_dimensions): | |
| self.velocity.append(random.uniform(-1, 1)) | |
| self.position.append(initial[i]) | |
| # Method to update velocity of a particle object | |
| def update_velocity(self, global_best_position, max_iter, iter_count): | |
| c1_start = 2.5 | |
| c1_end = 0.5 | |
| c2_start = 0.5 | |
| c2_end = 2.5 | |
| w = 0.7298 | |
| c1 = c1_start - (c1_start - c1_end) * (iter_count / max_iter) | |
| c2 = c2_start + (c2_end - c2_start) * (iter_count / max_iter) | |
| for i in range(0, self.num_dimensions): | |
| r1 = random.random() | |
| r2 = random.random() | |
| cog_vel = c1 * r1 * (self.best_position[i] - self.position[i]) | |
| social_vel = c2 * r2 * (global_best_position[i] - self.position[i]) | |
| self.velocity[i] = w * self.velocity[i] + cog_vel + social_vel | |
| # Method to update position of a particle object | |
| def update_position(self, bounds): | |
| for i in range(0, self.num_dimensions): | |
| self.position[i] = self.position[i] + self.velocity[i] | |
| if self.position[i] > bounds[i][1]: | |
| self.position[i] = bounds[i][1] | |
| if self.position[i] < bounds[i][0]: | |
| self.position[i] = bounds[i][0] | |
| # Method to evaluate fitness of a particle | |
| def evaluate_fitness(self, number, target, function): | |
| if number == 1: | |
| self.error = fitness_function(self.position, target) | |
| else: | |
| self.error = cost_function(self.position, function) | |
| if self.error < self.best_error: | |
| self.best_position = self.position[:] # Create a copy of the position list | |
| self.best_error = self.error | |
| # Getter method to return the present error of a particle | |
| def get_error(self): | |
| return self.error | |
| # Getter method to return the best position of a particle | |
| def get_best_pos(self): | |
| return self.best_position[:] # Return a copy of the best position list | |
| # Getter method to return the best error of a particle | |
| def get_best_error(self): | |
| return self.best_error | |
| # Getter method to return the best position of a particle | |
| def get_pos(self): | |
| return self.position[:] # Return a copy of the position list | |
| # Getter method to return the velocity of a particle | |
| def get_velocity(self): | |
| return self.velocity[:] # Return a copy of the velocity list | |
| # Function to calculate the euclidean distance from a particle to target | |
| def fitness_function(particle_position, target): | |
| x_pos, y_pos = float(target[0]), float(target[1]) | |
| return (x_pos - particle_position[0])**2 + (y_pos - particle_position[1])**2 | |
| # Function to calculate the value of the mathematical function at the position of a particle | |
| import sympy as sp | |
| def cost_function(particle_position, function_str): | |
| x, y = sp.symbols('x y') | |
| function = sp.sympify(function_str) | |
| return function.subs({x: particle_position[0], y: particle_position[1]}) | |
| # Interactive Class: to create a swarm of particles and an interactive PSO | |
| class Interactive_PSO(): | |
| # Method to initialize properties of an Interactive PSO | |
| def __init__(self): | |
| self._running = False | |
| self.max_iter = 500 # Set the desired maximum number of iterations | |
| self.num_particles = 25 | |
| self.initial = [5, 5] | |
| self.bounds = [(-500, 500), (-500, 500)] | |
| self.x_axis = [] | |
| self.y_axis = [] | |
| self.target = [5] * 2 | |
| self.global_best_error = float('inf') # Initialize global_best_error with infinity | |
| self.update_particles_position_lists_with_random_values() | |
| self.global_best_position = [0, 0] | |
| # Method to initialize swarm to find the target in a given search space | |
| # Method to initialize swarm to find the target in a given search space | |
| def swarm_initialization(self, number, max_iter): | |
| swarm = [] | |
| self.global_best_position = [0, 0] | |
| self.global_best_error = float('inf') # Initialize global_best_error with infinity | |
| self.gamma = 0.0001 | |
| function = function_select.value | |
| for i in range(0, self.num_particles): # For loop to initialize the swarm of particles | |
| swarm.append(Particle([self.x_axis[i], self.y_axis[i]])) | |
| iter_count = 0 | |
| while self._running: # Loop to identify the best solution depending upon the problem | |
| if self.global_best_error <= 0.00001: | |
| break | |
| for j in range(0, self.num_particles): | |
| swarm[j].evaluate_fitness(number, self.target, function) | |
| if swarm[j].get_error() < self.global_best_error: | |
| self.global_best_position = swarm[j].get_best_pos() | |
| self.global_best_error = swarm[j].get_best_error() | |
| for j in range(0, self.num_particles): | |
| swarm[j].update_velocity(self.global_best_position, max_iter, iter_count) | |
| swarm[j].update_position(self.bounds) | |
| self.x_axis[j] = swarm[j].get_pos()[0] | |
| self.y_axis[j] = swarm[j].get_pos()[1] | |
| # Add a delay to see the particle movement | |
| time.sleep(0.05) # Adjust the delay as needed | |
| iter_count += 1 | |
| # Update the table with the current global best position | |
| update_table = True # <-- Set update_table to True | |
| hv.streams.Stream.trigger(table_dmap.streams) | |
| self.initial = self.global_best_position | |
| self._running = False | |
| print('Best Position:', self.global_best_position) | |
| print('Best Error:', self.global_best_error) | |
| print('Function:', function) | |
| # Method to terminate finding the solution of a problem | |
| def terminate(self): | |
| self._running = False | |
| # Method to set _running parameter before initializing the swarm | |
| def starting(self): | |
| self._running = True | |
| # Method to check if the swarm of particles are in action | |
| def isrunning(self): | |
| return self._running | |
| # Getter method to return the number of particles | |
| def get_num_particles(self): | |
| return self.num_particles | |
| # Setter method to update the number of particles | |
| def update_num_particles(self, new_value): | |
| self.num_particles = new_value | |
| # Getter method to return the x_axis position list for particles in a swarm | |
| def get_xaxis(self): | |
| return self.x_axis[:] # Return a copy | |
| # Getter method to return the y_axis position list for particles in a swarm | |
| def get_yaxis(self): | |
| return self.y_axis[:] # Return a copy | |
| # Setter method to update the target position | |
| def set_target(self, x, y): | |
| self.target = [x, y] | |
| # Getter method to return the target position | |
| def get_target(self): | |
| return self.target[:] # Return a copy | |
| # Method to update the length of particles position lists if there is a change in num of particles | |
| def update_particles_position_lists(self, updated_num_particles): | |
| old_x_value = self.x_axis[0] | |
| old_y_value = self.y_axis[0] | |
| if updated_num_particles > self.num_particles: | |
| for i in range(self.num_particles, updated_num_particles): | |
| self.x_axis.append(old_x_value) | |
| self.y_axis.append(old_y_value) | |
| else: | |
| for i in range((self.num_particles) - 1, updated_num_particles - 1, -1): | |
| self.x_axis.pop(i) | |
| self.y_axis.pop(i) | |
| # Method to initialize the particles positions randomly | |
| def update_particles_position_lists_with_random_values(self): | |
| self.x_axis = random.sample(range(-500, 500), self.num_particles) | |
| self.y_axis = random.sample(range(-500, 500), self.num_particles) | |
| pso_swarm = Interactive_PSO() # Creating an interactive PSO to find the target | |
| pso_computation_swarm = Interactive_PSO() # Creating an interactive PSO to find the optimal solution of a mathematical function | |
| update_table = False | |
| # Method to initialize swarm to find the target in a given search space | |
| def start_finding_the_target(): | |
| pso_swarm.swarm_initialization(1, pso_swarm.max_iter) | |
| # Method to initialize swarm to compute an optimal solution for a given problem | |
| def start_computation(): | |
| pso_computation_swarm.swarm_initialization(2, pso_computation_swarm.max_iter) | |
| # On event function for single tap to create and return the target with updated position | |
| def create_target_element(x, y): | |
| pso_swarm.terminate() | |
| if x is not None: | |
| pso_swarm.set_target(x, y) | |
| return hv.Points((x, y, 1), label='Target').opts(color='red', marker='^', size=10) | |
| # Function to stream the particles of pso_swarm to dynamic map in regular intervals | |
| def update(): | |
| x_axis = pso_swarm.get_xaxis() | |
| y_axis = pso_swarm.get_yaxis() | |
| data = (x_axis, y_axis, np.random.random(size=len(x_axis))) | |
| pop_scatter = hv.Scatter(data, vdims=['y_axis', 'z']) | |
| pop_scatter.opts(size=8, color='z', cmap='Coolwarm_r') | |
| return pop_scatter | |
| # On event function for update button click to update the number of particles in both the swarms | |
| def computational_update(): | |
| x_axis = pso_computation_swarm.get_xaxis() | |
| y_axis = pso_computation_swarm.get_yaxis() | |
| data = (x_axis, y_axis, np.random.random(size=len(x_axis))) | |
| pop_scatter1 = hv.Scatter(data, vdims=['y_axis', 'z']) | |
| pop_scatter1.opts(size=8, color='z', cmap='Coolwarm_r') | |
| return pop_scatter1 | |
| # On event function for update button click to update the number of particles in both the swarms | |
| def update_num_particles_event(event): | |
| if population_slider.value == pso_swarm.get_num_particles(): | |
| return | |
| pso_swarm.terminate() | |
| pso_computation_swarm.terminate() | |
| time.sleep(1) | |
| updated_num_particles = population_slider.value | |
| pso_swarm.update_particles_position_lists(updated_num_particles) | |
| pso_swarm.update_num_particles(updated_num_particles) | |
| pso_computation_swarm.update_num_particles(updated_num_particles) | |
| pso_computation_swarm.update_particles_position_lists_with_random_values() | |
| pso_swarm.update_particles_position_lists_with_random_values() # Update positions for pso_swarm as well | |
| hv.streams.Stream.trigger(pso_scatter1.streams) | |
| hv.streams.Stream.trigger(pso_scatter.streams) | |
| # Periodic Callback function for every 3 seconds to stream the data to dynamic maps | |
| def trigger_streams(): | |
| global update_table | |
| hv.streams.Stream.trigger(pso_scatter.streams) | |
| hv.streams.Stream.trigger(pso_scatter1.streams) | |
| if update_table: | |
| update_table = False | |
| hv.streams.Stream.trigger(table_dmap.streams) | |
| # Update the target position | |
| tap.event(x=pso_swarm.get_target()[0], y=pso_swarm.get_target()[1]) | |
| # Slow down the swarm's speed | |
| time.sleep(0.05) # Adjust the delay as needed | |
| # On event function for begin the hunting button click to start hunting for the target | |
| def hunting_button_event(event): | |
| if not pso_swarm.isrunning(): | |
| pso_swarm.starting() | |
| threading.Thread(target=start_finding_the_target).start() | |
| # On event function for start the computation button click to start computation for a mathematical function | |
| def computation_button_event(event): | |
| if not pso_computation_swarm.isrunning(): | |
| pso_computation_swarm.starting() | |
| threading.Thread(target=start_computation).start() | |
| def table(): | |
| position = pso_computation_swarm.global_best_position | |
| df = pd.DataFrame({ | |
| 'x_position': [round(position[0])], | |
| 'y_position': [round(position[1])] | |
| }) | |
| # Create an hv.Table with the data | |
| hv_table = hv.Table(df).opts(width=300, height=100) | |
| return hv_table | |
| # Function to update the mathematical function for which swarm finds the optimal solution | |
| def update_function(event): | |
| pso_computation_swarm.terminate() | |
| time.sleep(1) | |
| pso_computation_swarm.update_particles_position_lists_with_random_values() | |
| # Two dynamic maps for two interactive PSOs, one for finding a target and one for computation of a mathematical function | |
| pso_scatter = hv.DynamicMap(update, streams=[Stream.define('Next')()]).opts(xlim=(-500, 500), ylim=(-500, 500), | |
| title="Plot 2 : PSO for target finding ") | |
| pso_scatter1 = hv.DynamicMap(computational_update, streams=[Stream.define('Next')()]).opts(xlim=(-500, 500), | |
| ylim=(-500, 500), | |
| title="Plot 1 : PSO for a mathematical computation") | |
| # Dynamic map to update and display target | |
| tap = hv.streams.SingleTap(x=pso_swarm.get_target()[0], y=pso_swarm.get_target()[1]) | |
| target_dmap = hv.DynamicMap(create_target_element, streams=[tap]) | |
| # Define custom CSS styles for the table container | |
| custom_style = { | |
| 'background': '##4287f5', # Background color | |
| 'border': '1px solid black', # Border around the table | |
| 'padding': '8px', # Padding inside the container | |
| 'box-shadow': '5px 5px 5px #bcbcbc' # Box shadow for a 3D effect | |
| } | |
| # Dynamic map to update the table with continuous global best position of the swarm | |
| table_dmap = hv.DynamicMap(table,streams=[hv.streams.Stream.define('Next')()]) | |
| table_label = pn.pane.Markdown("Once an optimal solution is found in plot 1 it is updated in the below table") | |
| # Button to order the swarm of particles to start finding the target | |
| start_hunting_button = pn.widgets.Button(name=' Click to find target for plot 2 ', width=50) | |
| start_hunting_button.on_click(hunting_button_event) | |
| # Button to order the swarm of particles to start computation for selected mathematical function | |
| start_finding_button = pn.widgets.Button(name=' Click to start computation for plot 1', width=50) | |
| start_finding_button.on_click(computation_button_event) | |
| # Button to update number of particles | |
| update_num_particles_button = pn.widgets.Button(name='Update number of particles', width=50) | |
| update_num_particles_button.on_click(update_num_particles_event) | |
| # periodic callback for every three seconds to trigger streams method | |
| pn.state.add_periodic_callback(trigger_streams, 3) | |
| # Slider to change the number of particles | |
| population_slider = pn.widgets.IntSlider(name='Number of praticles', start=10, end=100, value=25) | |
| # Dropdown list to select a mathematical function | |
| function_select = pn.widgets.Select(name='Select', options=['x^2+(y-100)^2','(x-234)^2+(y+100)^2', 'x^3 + y^3 - 3*x*y', 'x^2 * y^2']) | |
| function_select.param.watch(update_function,'value') | |
| #combining the dynamic maps with particles and target into one dynamicmap | |
| plot_for_finding_the_target = pso_scatter*target_dmap | |
| # Building the layout and returning the dashboard | |
| dashboard = pn.Column(pn.Row(pn.Row(pso_scatter1.opts(width=500, height=500)), pn.Column(plot_for_finding_the_target.opts(width=500, height=500)), | |
| pn.Column(pn.Column(table_label, table_dmap, styles=custom_style), start_finding_button, start_hunting_button, update_num_particles_button, population_slider,function_select))) | |
| pn.panel(dashboard).servable(title='Swarm Particles Visualization') |