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import numpy as np
from matplotlib import ticker
from math import sqrt, log
def hw(i):
res = 0
while i:
res += 1
i &= i - 1
return res
def moving_average(a, n) :
ret = np.cumsum(a, dtype=float)
ret[n:] = ret[n:] - ret[:-n]
return ret[n - 1:] / n
def time_scale(data, orig_unit, target_unit, scaling_factor):
units = {
"milli": ("ms", 1000000),
"micro": (r"$\mu s$", 1000),
"nano": ("ns", 1)
}
upper = units[orig_unit][1]
lower = units[target_unit][1] * scaling_factor
if upper > lower:
data *= upper // lower
elif lower > upper:
np.floor_divide(data, lower // upper, data)
return (r"$\frac{1}{" + str(scaling_factor) + "}$" if scaling_factor != 1 else "") + units[target_unit][0]
def hist_size_func(choice):
if choice == "sqrt":
return lambda n, xmin, xmax, var, xlower, xupper: int(sqrt(n)) + 1
elif choice == "sturges":
return lambda n, xmin, xmax, var, xlower, xupper: int(log(n, 2)) + 1
elif choice == "rice":
return lambda n, xmin, xmax, var, xlower, xupper: int(2 * n**(1/3))
elif choice == "scott":
return lambda n, xmin, xmax, var, xlower, xupper: (xmax - xmin) // int((3.5 * sqrt(var)) / (n**(1/3)))
elif choice == "fd":
return lambda n, xmin, xmax, var, xlower, xupper: (xmax - xmin) // int(2 * (xupper - xlower) / (n**(1/3)))
else:
return lambda n, xmin, xmax, var, xlower, xupper: hist_size
def plot_hist(axes, data, xlabel=None, log=False, avg=True, median=True, bins=None, **kwargs):
time_max = max(data)
time_min = min(data)
time_avg = np.average(data)
time_median = np.median(data)
if bins is None:
bins = time_max - time_min + 1
hist = axes.hist(data, bins=bins, log=log, **kwargs)
if avg:
axes.axvline(x=time_avg, alpha=0.7, linestyle="dotted", color="blue", label="avg = {}".format(time_avg))
if median:
axes.axvline(x=time_median, alpha=0.7, linestyle="dotted", color="green", label="median = {}".format(time_median))
axes.set_ylabel("count" + ("\n(log)" if log else ""))
axes.set_xlabel("time" if xlabel is None else xlabel)
axes.xaxis.set_major_locator(ticker.MaxNLocator())
if avg or median:
axes.legend(loc="best")
return hist
def miller_correction(entropy, samples, bins):
return entropy + (bins - 1)/(2*samples)
def egcd(a, b):
if a == 0:
return b, 0, 1
else:
g, y, x = egcd(b % a, a)
return g, x - (b // a) * y, y
def mod_inv(a, p):
if a < 0:
return p - mod_inv(-a, p)
g, x, y = egcd(a, p)
if g != 1:
raise ArithmeticError("Modular inverse does not exist")
else:
return x % p
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