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Given the following text description, write Python code to implement the functionality described below step by step
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Description:
 Adaptive histogram
This type of histogram automatically adapts bins when new values are added. Note that only fixed-width continuous binning scheme is currently supported.
Step1:  Adding single values
Step2:  Adding multiple values at once
Step3:  Adding two adaptive histograms together
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Python Code:
# Necessary import evil
import physt
from physt import h1, h2, histogramdd
import numpy as np
import matplotlib.pyplot as plt
# Create an empty histogram
h = h1(None, "fixed_width", bin_width=10, name="People height", axis_name="cm", adaptive=True)
h
Explanation: Adaptive histogram
This type of histogram automatically adapts bins when new values are added. Note that only fixed-width continuous binning scheme is currently supported.
End of explanation
# Add a first value
h.fill(157)
h.plot()
h
# Add a second value
h.fill(173)
h.plot()
# Add a few more values, including weights
h.fill(173, 2)
h.fill(186, 5)
h.fill(188, 3)
h.fill(193, 1)
h.plot(errors=True, show_stats=True);
Explanation: Adding single values
End of explanation
ha = h1(None, "fixed_width", bin_width=10, adaptive=True)
ha.plot(show_stats=True);
# Beginning
ha.fill_n([10, 11, 34])
ha.plot();
# Add a distant value
ha.fill_n([234], weights=[10])
ha.plot(show_stats=True);
# Let's create a huge dataset
values = np.random.normal(130, 20, 100000)
%%time
# Add lots of values (no loop in Python)
hn = h1(None, "fixed_width", bin_width=10, adaptive=True)
hn.fill_n(values)
# ha.plot()
%%time
# Comparison with Python loop
hp = h1(None, "fixed_width", bin_width=10, adaptive=True)
for value in values:
    hp.fill(value)
# Hopefully equal results
print("Equal?", hp == hn)
hp.plot(show_stats=True);
Explanation: Adding multiple values at once
End of explanation
ha1 = h1(None, "fixed_width", bin_width=5, adaptive=True)
ha1.fill_n(np.random.normal(100, 10, 1000))
ha2 = h1(None, "fixed_width", bin_width=5, adaptive=True)
ha2.fill_n(np.random.normal(70, 10, 500))
ha = ha1 + ha2
fig, ax= plt.subplots()
ha1.plot(alpha=0.1, ax=ax, label="1", color="red")
ha2.plot(alpha=0.1, ax=ax, label="2")
ha.plot("scatter", label="sum", ax=ax, errors=True)
ax.legend(loc=2);   # TODO? Why don't we show the sum???
Explanation: Adding two adaptive histograms together
End of explanation
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