Created
January 22, 2024 01:38
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Visualizing the Levenshtein coding
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codes_leven = [ | |
"0", | |
"10", | |
"1100", | |
"1101", | |
"1110000", | |
"1110001", | |
"1110010", | |
"1110011", | |
"11101000", | |
"11101001", | |
"11101010", | |
"11101011", | |
"11101100", | |
"11101101", | |
"11101110", | |
"11101111", | |
"111100000000", | |
"111100000001", | |
] | |
codes_leven = [[int(x) for x in code] for code in codes_leven] | |
values_leven = range(18) | |
class Leven(object): | |
depth = 0 | |
def __init__(self,l): | |
self.l = l | |
def getbit(self): | |
self.print_d(self.depth, "getbit") | |
bit = self.l[0] | |
self.l = self.l[1:] | |
return bit | |
def leven(self): | |
self.depth += 1 | |
l_orig = list(self.l) | |
bits_read = [] | |
self.print_d(self.depth - 1, f"leven called: [") | |
bit = self.getbit() | |
bits_read.append(bit) | |
if bit == 0: | |
self.print_d(self.depth, f"leven for {bits_read} is 0. (base case)") | |
self.print_d(self.depth-1, "]") | |
self.depth -= 1 | |
return 0, bits_read | |
length, inner_bits_read = self.leven() | |
bits_read_prefix = list(bits_read) | |
self.print_d(self.depth, f"Prefix: {bits_read}, length: {length} (from {inner_bits_read}). Will read {length} (== length) more bits") | |
bits_read = [] | |
x = 1 | |
for _ in range(length): | |
bit = self.getbit() | |
bits_read.append(bit) | |
x = 2*x + bit | |
self.print_d(self.depth, f"leven for {bits_read_prefix} ++ {inner_bits_read} ++ {bits_read} is {x}.") | |
self.print_d(self.depth-1, "]") | |
self.depth -= 1 | |
return x, bits_read_prefix + inner_bits_read + bits_read | |
def print_d(self, d, s): | |
print(" "*d + s) | |
for code, v in zip(codes_leven, values_leven): | |
x = Leven(code).leven()[0] | |
assert x == v | |
print("\nLeven", code, "==", x) | |
print("\n========\n") |
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