def generate_sorted_masses_strats(pi_list, curr_alpha_idx, strats_to_go):
"""Generates a sorted list of (mass, strats) tuples.
Args:
pi_list: List of stationary distributions, pi
curr_alpha_idx: Index in alpha_list for which to start clustering
strats_to_go: List of strategies that still need to be ordered
Returns:
Sorted list of (mass, strats) tuples.
"""
if curr_alpha_idx > 0:
sorted_masses_strats = list()
masses_to_strats = utils.cluster_strats(pi_list[curr_alpha_idx,
strats_to_go])
for mass, strats in sorted(masses_to_strats.items(), reverse=True):
if len(strats) > 1:
to_append = generate_sorted_masses_strats(
pi_list, curr_alpha_idx - 1, strats)
to_append = [(mass, [strats_to_go[s] for s in strats_list])
for (mass, strats_list) in to_append]
sorted_masses_strats.extend(to_append)
else:
sorted_masses_strats.append((mass, [
strats_to_go[strats[0]],
]))
return sorted_masses_strats
else:
to_return = sorted(utils.cluster_strats(pi_list[curr_alpha_idx,
strats_to_go]).items(),
reverse=True)
to_return = [(mass, [strats_to_go[s] for s in strats_list])
for (mass, strats_list) in to_return]
return to_return
def plot_pi_vs_alpha(pi_list,
alpha_list,
num_populations,
num_strats_per_population,
strat_labels,
num_strats_to_label,
plot_semilogx=True,
xlabel=r"Ranking-intensity $\alpha$",
ylabel=r"Strategy mass in stationary distribution $\pi$"):
"""Plots stationary distributions, pi, against selection intensities, alpha.
Args:
pi_list: List of stationary distributions, pi.
alpha_list: List of selection intensities, alpha.
num_populations: The number of populations.
num_strats_per_population: List of the number of strategies per population.
strat_labels: Human-readable strategy labels.
num_strats_to_label: The number of top strategies to label in the legend.
plot_semilogx: Boolean set to enable/disable semilogx plot.
xlabel: Plot xlabel.
ylabel: Plot ylabel.
"""
# Cluster strategies for which the stationary distribution has similar masses
masses_to_strats = utils.cluster_strats(pi_list[-1, :])
# Set colors
num_strat_profiles = np.shape(pi_list)[1]
num_strats_to_label = min(num_strats_to_label, num_strat_profiles)
cmap = plt.get_cmap("Paired")
colors = [cmap(i) for i in np.linspace(0, 1, num_strat_profiles)]
# Plots stationary distribution vs. alpha series
plt.figure(facecolor="w")
axes = plt.gca()
legend_line_objects = []
legend_labels = []
rank = 1
num_strats_printed = 0
add_legend_entries = True
for mass, strats in sorted(masses_to_strats.items(), reverse=True):
for profile_id in strats:
if num_populations == 1:
strat_profile = profile_id
else:
strat_profile = utils.get_strat_profile_from_id(
num_strats_per_population, profile_id)
if plot_semilogx:
series = plt.semilogx(alpha_list,
pi_list[:, profile_id],
color=colors[profile_id],
linewidth=2)
else:
series = plt.plot(alpha_list,
pi_list[:, profile_id],
color=colors[profile_id],
linewidth=2)
if add_legend_entries:
if num_strats_printed >= num_strats_to_label:
# Placeholder blank series for remaining entries
series = plt.semilogx(np.NaN, np.NaN, "-", color="none")
label = "..."
add_legend_entries = False
else:
label = utils.get_label_from_strat_profile(
num_populations, strat_profile, strat_labels)
legend_labels.append(label)
legend_line_objects.append(series[0])
num_strats_printed += 1
rank += 1
# Plots pie charts on far right of figure to indicate clusters of strategies
# with identical rank
for mass, strats in iter(masses_to_strats.items()):
_draw_pie(axes,
ratios=[1 / len(strats)] * len(strats),
colors=[colors[i] for i in strats],
x_center=alpha_list[-1],
y_center=mass,
size=200,
clip_on=False,
zorder=10)
# Axes ymax set slightly above highest stationary distribution mass
max_mass = np.amax(pi_list)
axes_y_max = np.ceil(
10. * max_mass) / 10 # Round upward to nearest first decimal
axes_y_max = np.clip(axes_y_max, 0., 1.)
# Plots a rectangle highlighting the rankings on the far right of the figure
box_x_min = alpha_list[-1] * 0.7
box_y_min = np.min(pi_list[-1, :]) - 0.05 * axes_y_max
width = 0.7 * alpha_list[-1]
height = np.max(pi_list[-1, :]) - np.min(
pi_list[-1, :]) + 0.05 * axes_y_max * 2
axes.add_patch(
patches.Rectangle((box_x_min, box_y_min),
width,
height,
edgecolor="b",
facecolor=(1, 0, 0, 0),
clip_on=False,
linewidth=5,
zorder=20))
# Plot formatting
axes.set_xlim(np.min(alpha_list), np.max(alpha_list))
axes.set_ylim([0.0, axes_y_max])
axes.set_xlabel(xlabel)
axes.set_ylabel(ylabel)
axes.set_axisbelow(
True) # Axes appear below data series in terms of zorder
# Legend on the right side of the current axis
box = axes.get_position()
axes.set_position([box.x0, box.y0, box.width * 0.8, box.height])
axes.legend(legend_line_objects,
legend_labels,
loc="center left",
bbox_to_anchor=(1.05, 0.5))
plt.grid()
plt.show()
