amstan function

amstan.py

#!/usr/bin/env python3

def bitlist(x):
	return [float(d) for d in bin(x)[2:][::-1]]

def amstan(x,k=0):
	"""Computes amstan's function. k=0 returns just a bitcount of x, k=1 returns just x, anything in between is magic!"""
	
	bits=bitlist(x)
	return sum(bit*(2.**(i*k)) for i,bit in enumerate(bits))

def amstan_tester(x):
	"""Tests a bunch of k values for the given x."""
	print("x=%s, bit list:%r" % (x,list(bitlist(x))))
	for i in range(-10,20):
		k=i/10.0
		print("amstan(x=%s,k=%s)=\t%s" % (x,k,amstan(x,k)))
	print()

if __name__=="__main__":
	import matplotlib.pyplot as plt
	print("Close matplotlib window to see the next k value graph")
	for i in range(30):
		k=i/10.0-1
		print(f"{k=}")
		plt.plot([amstan(x,k) for x in range(2**8)])
		plt.show()