from hoshrust import Hash

# Hashes can be multiplied.
a = Hash(blob=b"Some large binary content...")
b = Hash(blob=b"Some other binary content. Might be, e.g., an action or another large content.")
c = a * b
print(f"{a} * {b} = {c}")
"""
0v58YxIhaae5NfYuXsoC1i * 04orKjYHAZraYORILOVwos = 3yT1A5oLlW2HpjSkgzo2yg
"""

# Multiplication can be reverted by the inverse hash. Zero is the identity hash.
print(f"{b} * {~b} = {b * ~b} = 0")
"""
04orKjYHAZraYORILOVwos * 211eErwhEiGnit0beo4tjo = 0000000000000000000000 = 0
"""

print(f"{c} * {~b} = {c * ~b} = {a} = a")
"""
3yT1A5oLlW2HpjSkgzo2yg * 211eErwhEiGnit0beo4tjo = 0v58YxIhaae5NfYuXsoC1i = 0v58YxIhaae5NfYuXsoC1i = a
"""

print(f"{~a} * {c} = {~a * c} = {b} = b")
"""
4q4X1jczNK2eKCV4uxEPNk * 3yT1A5oLlW2HpjSkgzo2yg = 04orKjYHAZraYORILOVwos = 04orKjYHAZraYORILOVwos = b
"""

# Division is shorthand for reversion.
print(f"{c} / {b} = {c / b} = a")
"""
3yT1A5oLlW2HpjSkgzo2yg / 04orKjYHAZraYORILOVwos = 0v58YxIhaae5NfYuXsoC1i = a
"""

# Hash multiplication is not expected to be commutative.
print(f"{a * b} != {b * a}")
"""
3yT1A5oLlW2HpjSkgzo2yg != 4AvOF9Fbhakd26mosfuuvR
"""

# Hash multiplication is associative.
print(f"{a * (b * c)} = {(a * b) * c}")
"""
51UdYbEAGI5mVogE4aFFKe = 51UdYbEAGI5mVogE4aFFKe
"""