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@ -16,7 +16,7 @@ repos:
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- id: auto-walrus
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- id: auto-walrus
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- repo: https://github.com/astral-sh/ruff-pre-commit
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- repo: https://github.com/astral-sh/ruff-pre-commit
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rev: v0.7.3
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rev: v0.7.4
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hooks:
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hooks:
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- id: ruff
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- id: ruff
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- id: ruff-format
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- id: ruff-format
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@ -55,6 +55,7 @@
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## Blockchain
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## Blockchain
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* [Diophantine Equation](blockchain/diophantine_equation.py)
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* [Diophantine Equation](blockchain/diophantine_equation.py)
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* [Pow Algorithm](blockchain/pow_algorithm.py)
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## Boolean Algebra
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## Boolean Algebra
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* [And Gate](boolean_algebra/and_gate.py)
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* [And Gate](boolean_algebra/and_gate.py)
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189
blockchain/pow_algorithm.py
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blockchain/pow_algorithm.py
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@ -0,0 +1,189 @@
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# Title: Proof of Work Algorithm for Blockchain
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## Algorithm Statement:
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# The algorithm implements the Proof of Work (PoW) consensus mechanism used in
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# blockchain to validate blocks. PoW ensures participants (miners) perform a
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# computational task to create a valid block and add it to the blockchain. The
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# difficulty is defined by the number of leading zeros required in the block hash.
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import hashlib
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import time
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class Block:
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def __init__(
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self,
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index: int,
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previous_hash: str,
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transactions: str,
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timestamp: float,
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difficulty: int,
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) -> None:
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"""
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Initializes a Block object with the specified parameters.
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Parameters:
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- index (int): The index of the block in the blockchain.
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- previous_hash (str): The hash of the previous block.
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- transactions (str): The list of transactions in the block.
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- timestamp (float): The time when the block was created
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(in Unix timestamp format).
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- difficulty (int): The difficulty level for mining this block.
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"""
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self.index = index
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self.previous_hash = previous_hash
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self.transactions = transactions
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self.timestamp = timestamp
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self.nonce = 0 # Start with nonce 0
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self.difficulty = difficulty
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self.hash = self.compute_hash()
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def compute_hash(self) -> str:
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"""
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Generates the hash of the block content.
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Combines index, previous hash, transactions, timestamp, and nonce into
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a string, which is then hashed using SHA-256.
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Returns:
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- str: The hash of the block.
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"""
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block_string = (
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f"{self.index}{self.previous_hash}{self.transactions}{self.timestamp}"
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f"{self.nonce}"
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)
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return hashlib.sha256(block_string.encode()).hexdigest()
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def mine_block(self) -> None:
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"""
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Performs Proof of Work by adjusting the nonce until a valid hash is found.
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A valid hash has the required number of leading zeros based on the
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difficulty level.
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Returns:
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- None
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"""
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target = (
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"0" * self.difficulty
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) # Target hash should start with 'difficulty' zeros
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while self.hash[: self.difficulty] != target:
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self.nonce += 1
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self.hash = self.compute_hash()
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print(f"Block mined with nonce {self.nonce}, hash: {self.hash}")
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class Blockchain:
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def __init__(self, difficulty: int) -> None:
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"""
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Initializes the blockchain with a given difficulty level.
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Parameters:
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- difficulty (int): The difficulty level for mining blocks in this blockchain.
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Returns:
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- None
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"""
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self.chain: list[Block] = [] # Adding type hint for the list of blocks
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self.difficulty = difficulty
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self.create_genesis_block()
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def create_genesis_block(self) -> None:
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"""
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Creates the first block in the blockchain (the Genesis block).
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Returns:
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- None
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"""
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genesis_block = Block(0, "0", "Genesis Block", time.time(), self.difficulty)
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genesis_block.mine_block()
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self.chain.append(genesis_block)
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def add_block(self, transactions: str) -> None:
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"""
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Adds a new block to the blockchain after performing Proof of Work.
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Parameters:
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- transactions (str): The list of transactions to be added in the new block.
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Returns:
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- None
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"""
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previous_block = self.chain[-1]
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new_block = Block(
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len(self.chain),
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previous_block.hash,
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transactions,
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time.time(),
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self.difficulty,
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)
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new_block.mine_block()
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self.chain.append(new_block)
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def is_chain_valid(self) -> bool:
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"""
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Verifies the integrity of the blockchain by ensuring each block's previous
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hash matches and that all blocks meet the Proof of Work requirement.
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Returns:
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- bool: True if the blockchain is valid, False otherwise.
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"""
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for i in range(1, len(self.chain)):
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current_block = self.chain[i]
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previous_block = self.chain[i - 1]
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if current_block.hash != current_block.compute_hash():
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print(f"Invalid block at index {i}. Hash mismatch.")
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return False
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if current_block.previous_hash != previous_block.hash:
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print(f"Invalid chain at index {i}. Previous hash mismatch.")
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return False
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return True
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# Test cases
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## Test Case 1: Blockchain Initialization and Genesis Block
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# This test verifies if the blockchain is correctly initialized with a Genesis block
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# and if the block is successfully mined.
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def test_blockchain() -> None:
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"""
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Test cases for the Blockchain proof of work algorithm.
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Returns:
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- None
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"""
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# Create blockchain with difficulty level of 4 (hash should start with 4 zeros)
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blockchain = Blockchain(difficulty=4)
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## Test Case 2: Add a block and verify the block is mined
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# This test adds a new block with transactions and ensures it's mined according
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# to the proof of work mechanism.
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blockchain.add_block("Transaction 1: Alice pays Bob 5 BTC")
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blockchain.add_block("Transaction 2: Bob pays Charlie 3 BTC")
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## Test Case 3: Verify blockchain integrity
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# This test checks that the blockchain remains valid after adding new blocks
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assert blockchain.is_chain_valid(), "Blockchain should be valid"
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## Test Case 4: Tampering with the blockchain
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# This test simulates tampering with the blockchain and checks that the validation
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# correctly detects the tampering.
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blockchain.chain[
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1
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].transactions = "Transaction 1: Alice pays Bob 50 BTC" # Tampering
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assert (
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not blockchain.is_chain_valid()
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), "Blockchain should be invalid due to tampering"
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## Test Case 5: Correct blockchain validation
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# This test checks if the blockchain becomes invalid after tampering and verifies
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# if the PoW still holds after tampering is done.
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print("All test cases passed.")
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if __name__ == "__main__":
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test_blockchain()
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