X-Git-Url: https://wannabe.guru.org/gitweb/?a=blobdiff_plain;f=math_utils.py;h=f77e0a1f2514f5a0201c81f57e9740d36d2ede47;hb=d7d135be2f9dbb2d8398d7258f8bac24b4205a2b;hp=e0e3f6c10732b9a3ab20a251a225a0e963c362e9;hpb=eb9e6df32ed696158bf34dba6464277b648f5c74;p=python_utils.git diff --git a/math_utils.py b/math_utils.py index e0e3f6c..f77e0a1 100644 --- a/math_utils.py +++ b/math_utils.py @@ -1,9 +1,11 @@ #!/usr/bin/env python3 +"""Mathematical helpers.""" + import functools import math +from heapq import heappop, heappush from typing import List -from heapq import heappush, heappop class RunningMedian(object): @@ -19,16 +21,22 @@ class RunningMedian(object): >>> median.add_number(5) >>> median.get_median() 5 + >>> median.get_mean() + 5.2 + >>> round(median.get_stdev(), 2) + 6.99 """ def __init__(self): self.lowers, self.highers = [], [] + self.aggregate = 0.0 - def add_number(self, number): + def add_number(self, number: float): if not self.highers or number > self.highers[0]: heappush(self.highers, number) else: heappush(self.lowers, -number) # for lowers we need a max heap + self.aggregate += number self.rebalance() def rebalance(self): @@ -37,14 +45,28 @@ class RunningMedian(object): elif len(self.highers) - len(self.lowers) > 1: heappush(self.lowers, -heappop(self.highers)) - def get_median(self): + def get_median(self) -> float: if len(self.lowers) == len(self.highers): - return (-self.lowers[0] + self.highers[0])/2 + return (-self.lowers[0] + self.highers[0]) / 2 elif len(self.lowers) > len(self.highers): return -self.lowers[0] else: return self.highers[0] + def get_mean(self) -> float: + count = len(self.lowers) + len(self.highers) + return self.aggregate / count + + def get_stdev(self) -> float: + mean = self.get_mean() + variance = 0.0 + for n in self.lowers: + n = -n + variance += (n - mean) ** 2 + for n in self.highers: + variance += (n - mean) ** 2 + return math.sqrt(variance) + def gcd_floats(a: float, b: float) -> float: if a < b: @@ -76,8 +98,8 @@ def truncate_float(n: float, decimals: int = 2): 3.141 """ - assert decimals > 0 and decimals < 10 - multiplier = 10 ** decimals + assert 0 < decimals < 10 + multiplier = 10**decimals return int(n * multiplier) / multiplier @@ -143,12 +165,12 @@ def is_prime(n: int) -> bool: # This is checked so that we can skip middle five numbers in below # loop - if (n % 2 == 0 or n % 3 == 0): + if n % 2 == 0 or n % 3 == 0: return False i = 5 while i * i <= n: - if (n % i == 0 or n % (i + 2) == 0): + if n % i == 0 or n % (i + 2) == 0: return False i = i + 6 return True @@ -156,4 +178,5 @@ def is_prime(n: int) -> bool: if __name__ == '__main__': import doctest + doctest.testmod()