kawamura_number_system.py

#!python2
#quizknock kawamura number system: https://youtu.be/xROMDZE4U7U

add='-a-'
subtract='sk'

levels=['','raf','bxogg']
digits_lowerhalf=['xzea','dhea','ija']
digits_upperhalf=[(levels[1]+subtract+_) for _ in digits_lowerhalf[::-1]]
digits=['']+digits_lowerhalf+digits_upperhalf

def int_to_kawamura(n):
	if not 0<n<len(digits)**len(levels):
		raise ValueError
	result=''
	for i in range(len(levels)-1,-1,-1):
		x=len(digits)**i
		if n>=x:
			current_digit=n/x
			n%=x
			result+=levels[i]
			if current_digit!=1 or i==0:
				if result!='' and result[-1]!='-' and current_digit>len(digits_lowerhalf):
					result+='-'
				result+=digits[current_digit]
			if n!=0:
				result+=add
	return result

def kawamura_to_int(s):
	result=0
	s=s.split(add)
	for i in s:
		level=0
		if i.startswith(levels[1]+subtract):
			#upper half special case
			#if not dealt with here, it will trigger level detection below
			value=digits.index(i)
		else:
			for level in range(len(levels)-1,0,-1):
				if i.startswith(levels[level]):
					break
			remainder=i.split('-')[1] if '-' in i else i[len(levels[level]):]
			value=digits.index(remainder)
			if value==0:
				value=1
		result+=value*(len(digits)**level)
	return result

#print int_to_kawamura(int(sys.argv[-1]))
for i in range(1,len(digits)**len(levels)):
	assert kawamura_to_int(int_to_kawamura(i))==i