diff --git a/ctf-solutions/bean_counter.py b/ctf-solutions/bean_counter.py deleted file mode 100644 index 31a6219..0000000 --- a/ctf-solutions/bean_counter.py +++ /dev/null @@ -1,92 +0,0 @@ -''' -Solution for https://cryptohack.org/courses/symmetric/bean_counter/ -''' - -import os -import requests -from math import ceil - -from Crypto.Cipher import AES - -from imp.math.util import xor_bytes - -class StepUpCounter(object): - def __init__(self, step_up=False): - self.value = os.urandom(16).hex() - self.step = 1 - self.stup = step_up - - def increment(self): - if self.stup: - self.newIV = hex(int(self.value, 16) + self.step) - else: - self.newIV = hex(int(self.value, 16) - self.stup) - self.value = self.newIV[2:len(self.newIV)] - return bytes.fromhex(self.value.zfill(32)) - - def __repr__(self): - self.increment() - return self.value - -''' -NOTE: Since step_up is used ONLY as false, we can simplify: -class StepUpCounter(object): - def __init__(self): - self.value = os.urandom(16).hex() - - # SAME AS DOING NOTHING - def increment(self): - return self.value() - - def __repr__(self): - return self.value -''' - -URL = 'https://aes.cryptohack.org/bean_counter' - -def get_encrypted() -> bytes: - resp = requests.get(f'{URL}/encrypt/') - encrypted = bytes.fromhex(resp.json()['encrypted']) - return encrypted - -PNG_HEADER = [ - '89', '50', '4e', '47', - '0d', '0a', '1a', '0a', - '00', '00', '00', '0d', - '49', '48', '44', '52' -] - -def main() -> None: - # NOTE: the counter is constant! - ctr = StepUpCounter() - # init = ctr.increment() - # init_val = ctr.value - # for i in range(2560000): - # if ctr.increment() != init: - # print('Counter Changed') - # print(i) - # break - # elif ctr.value != init_val: - # print('valued changed') - # print(i) - # break - - # PNGs *should* have a constant header, we will use the first 16 bytes - # to determine what the counter value must be set to - encrypted = get_encrypted() - png_header = bytes.fromhex(''.join(PNG_HEADER)) - ctr_value = xor_bytes(encrypted[:16], png_header) - # apply the counter value to the entire encrypted image (in blocks of 16 bytes) - BLOCK_SIZE = 16 - with open('bean_flag.png', 'wb') as f: - for i in range(ceil(len(encrypted) / BLOCK_SIZE)): - block = encrypted[i*BLOCK_SIZE : (i+1)*BLOCK_SIZE] - # NOTE: the block we get is not guaranteed to be block size (ie if at end) - plaintext_block = xor_bytes(block, ctr_value[:len(block)]) - f.write(plaintext_block) - -if __name__ == '__main__': - try: - main() - except (KeyboardInterrupt, EOFError): - print('\n[!] Interrupt') diff --git a/ctf-solutions/flipping_cookie.py b/ctf-solutions/flipping_cookie.py deleted file mode 100644 index 4e6e8e2..0000000 --- a/ctf-solutions/flipping_cookie.py +++ /dev/null @@ -1,55 +0,0 @@ -''' -Solution to https://cryptohack.org/courses/symmetric/flipping_cookie/ -''' - -import requests -from datetime import datetime, timedelta - -URL = 'https://aes.cryptohack.org/flipping_cookie' - -# NOTE: assumes A and B are equal length -def xor_bytes(A: bytes, B: bytes) -> bytes: - return b''.join([(a ^ b).to_bytes() for (a, b) in zip(A, B)]) -def xor_str(A: str, B: str) -> str: - return ''.join([chr(ord(a) ^ ord(b)) for (a, b) in zip(A, B)]) - -def gen_expiry() -> str: - return (datetime.today() + timedelta(days=1)).strftime("%s") - -def get_cookie() -> tuple[bytes, bytes]: - resp = requests.get(f'{URL}/get_cookie/') - cookie = resp.json()['cookie'] - iv = bytes.fromhex(cookie[:32]) - ciphertext = bytes.fromhex(cookie[32:]) - return iv, ciphertext - - -def main() -> None: - # cookie flipping preprocessing step - admin_len = len('admin=') - expiry_len = len(';expiry=') + len(gen_expiry()) - admin_mask = '\x00' * admin_len - expiry_mask = '\x00' * expiry_len - # we aim to replace "admin=False;" with "admin=True;;" - # NOTE: double semicolon ("True;;") is intentional - # NOTE: and the server won't ever realise it happened! - deletion = admin_mask + 'False' + expiry_mask - insertion = admin_mask + 'True;' + expiry_mask - # determine the value that replaces deletion with insertion - cookie_flip = xor_str(deletion, insertion) - - # get our new cookie and apply the cookie flip! - iv, ciphertext = get_cookie() - flipped_iv = xor_bytes(cookie_flip.encode(), iv) - - print('Flipped Cookie:') - print('IV:', flipped_iv.hex()) - print('Body:', ciphertext.hex()) - - - - - - -if __name__ == '__main__': - main() diff --git a/ctf-solutions/symmetry.py b/ctf-solutions/symmetry.py deleted file mode 100644 index d12ad08..0000000 --- a/ctf-solutions/symmetry.py +++ /dev/null @@ -1,39 +0,0 @@ -''' -Solution to https://cryptohack.org/courses/symmetric/symmetry/ -''' - -import os -import requests - -from imp.math.util import xor_bytes, xor_str - -URL = 'https://aes.cryptohack.org/symmetry' - -def get_encrypted_flag() -> tuple[bytes, bytes]: - resp = requests.get(f'{URL}/encrypt_flag/') - ciphertext = resp.json()['ciphertext'] - iv = bytes.fromhex(ciphertext[:32]) - flag = bytes.fromhex(ciphertext[32:]) - return iv, flag - -def encrypt(plaintext: bytes, iv: bytes) -> bytes: - plaintext, iv = plaintext.hex(), iv.hex() - resp = requests.get(f'{URL}/encrypt/{plaintext}/{iv}') - return bytes.fromhex(resp.json()['ciphertext']) - -def main() -> None: - iv, flag = get_encrypted_flag() - # generate a random plaintext of equal length to the flag - random_plaintext = os.urandom(len(flag)) - random_ciphertext = encrypt(random_plaintext, iv) - # XOR random plaintext with corresponding ciphertext to - # get the set generated by IV under the keyed AES permutation - aes_orbit = xor_bytes(random_plaintext, random_ciphertext) - # XOR this orbit with the flag to get the hexed flag plaintext - flag_plaintext = xor_bytes(flag, aes_orbit) - print('Flag:', flag_plaintext.decode()) - - print('IV:', iv.hex()) - -if __name__ == '__main__': - main() diff --git a/default.nix b/default.nix deleted file mode 100644 index d637d64..0000000 --- a/default.nix +++ /dev/null @@ -1,10 +0,0 @@ -let - sources = import ./nix/sources.nix; - pkgs = import sources.nixpkgs {}; - # Let all API attributes like "poetry2nix.mkPoetryApplication" - # use the packages and versions (python3, poetry etc.) from our pinned nixpkgs above - # under the hood: - poetry2nix = import sources.poetry2nix {inherit pkgs;}; - myPythonApp = poetry2nix.mkPoetryApplication {projectDir = ./.;}; -in - myPythonApp diff --git a/examples/cryptohack-ecboracle.py b/examples/cryptohack-ecboracle.py deleted file mode 100644 index d4ce7aa..0000000 --- a/examples/cryptohack-ecboracle.py +++ /dev/null @@ -1,46 +0,0 @@ -import requests - -from imp.constants import PRINTABLE -from imp.attacks import paddingoracle - -from Crypto.Util.Padding import pad - -import string - -NIBBLESET = [n.to_bytes() for n in range(256)] - -HOST = 'https://aes.cryptohack.org' -ENDPOINT = '/ecb_oracle/encrypt/{0}/' -URI = HOST + ENDPOINT - -CHARSET = [c.encode() for c in string.printable] -# CHARSET = NIBBLESET # OVERRIDE - -FLAG_LEN = 26 # flag length, calculated by hand -SPACER = b'\x0f' # arbitrary spacing character - -BLOCK_BYTES = 16 -BLOCK_NIBBLES = 32 # measured in nibbles - - -def mkreq(hextext: str) -> dict[str, str]: - resp = requests.get(URI.format(hextext)) - if resp.status_code != 200: - raise Exception(f'[!] resp failed! {resp} : {resp.text}') - return resp.json() - -def encrypt(b: bytes) -> bytes: - resp = mkreq(b.hex()) - return bytes.fromhex(resp['ciphertext']) - -def main() -> None: - paddingoracle.crack(encrypt, pad, CHARSET, 16, batch_size=20, debug=True) - - - -if __name__ == '__main__': - try: - main() - except (KeyboardInterrupt, EOFError): - print('\n[!] Interrupt') - diff --git a/examples/local-ecboracle.py b/examples/local-ecboracle.py deleted file mode 100644 index 6902349..0000000 --- a/examples/local-ecboracle.py +++ /dev/null @@ -1,28 +0,0 @@ -import string - -from imp.attacks import paddingoracle - -from Crypto.Cipher import AES -from Crypto.Util.Padding import pad - -CHARSET = [c.encode() for c in string.printable] - -KEY = b'you wont get me!' -FLAG = b'imbaud{omg_you_catched_me}' -CIPHER = AES.new(KEY, AES.MODE_ECB) - -def encrypt(b: bytes, debug=False) -> bytes: - padded = pad(b + FLAG, 16) - if debug: - print(padded) - # print(padded) - return CIPHER.encrypt(padded) - -def main() -> None: - paddingoracle.crack(encrypt, pad, CHARSET, 16, batch_size=50, debug=True) - -if __name__ == '__main__': - try: - main() - except (KeyboardInterrupt, EOFError): - print('\n[!] Interrupt') diff --git a/imp/attacks/__init__.py b/imp/attacks/__init__.py deleted file mode 100644 index e69de29..0000000 diff --git a/imp/attacks/paddingoracle.py b/imp/attacks/paddingoracle.py deleted file mode 100644 index d9fd1a5..0000000 --- a/imp/attacks/paddingoracle.py +++ /dev/null @@ -1,106 +0,0 @@ -from math import inf, ceil -from typing import Callable - -from imp.math.util import clamp_max - -SPACER = b'\xff' # arbitrary spacing character - -class DecryptFailed(Exception): - pass - -def round_to_blocks(n: int, block_size: int) -> int: - return ceil(n / block_size) - -def crack_secret_len(cipher: Callable[[str], str], - max_iters: int = inf) -> int | None: - # calculate length for i = 1 - init_len = len(cipher(SPACER)) - secret_len = None - i = 2 - while True: - if i - 2 > max_iters: - break - elif len(cipher(SPACER*i)) != init_len: - secret_len = init_len - i - break - i += 1 - return secret_len - -''' - -NOTE: pad_if_perfect exists for PKCS#7 which will add a full block -NOTE: of padding if the input is perfectly alligned to the blocks already. -''' -def crack(cipher: Callable[[str], str], - padfn: Callable[[bytes, int], bytes], - charset: list, - block_size: int, - max_secret_iters: int = inf, - batch_size: int = 1, - pad_if_perfect: bool = True, - debug: bool = False) -> str | None: - if len(charset) % batch_size: - raise ValueError(f'batch_size={batch_size} does not divide len(charset)={len(charset)}') - # calculate the secret length - secret_len = crack_secret_len(cipher, max_iters=max_secret_iters) - if debug: - print(f'[+] Found secret length: {secret_len}') - - # calculate how many blocks the secret stretches over - # NOTE: secret_block_len - secret_len represents the number of - # NOTE: bytes required to make the secret fill the blocks with no padding - secret_block_len = round_to_blocks(secret_len, block_size) * block_size - default_push = (secret_block_len - secret_len) - known = b'' - while True: - # the "full tail" is all characters we know + the 1 we're cracking (target) - # the "current tail" is the characters in the same block as the target - full_tail_bytes = len(known) + 1 - tail_bytes = clamp_max(full_tail_bytes, block_size - 1) - # generate ALL possible tails (avoid padding if no padding required) - tails = [c + known[:tail_bytes] for c in charset] - if len(tails[0]) != block_size: - tails = [padfn(tail, 16) for tail in tails] - # calculate the "push" applied to the secret - push_size = (default_push + full_tail_bytes) % block_size - - matched = False - NUM_BATCHES = len(tails) // batch_size - for i in range(NUM_BATCHES): - if debug: - print(f'{int(i/NUM_BATCHES*100)}%', end='\r') - batch = tails[i*batch_size : (i+1)*batch_size] - batch = b''.join(batch) + (SPACER * push_size) # apply spacing - - # encrypt batch and split the ciphertext into blocks - ciphertext = cipher(batch) - num_blocks = len(ciphertext)//block_size - blocks = [ciphertext[i*block_size : (i+1)*block_size] for i in range(num_blocks)] - - oracle_pos = round_to_blocks(full_tail_bytes, block_size) - if pad_if_perfect and (push_size + secret_len) % block_size == 0: - oracle_pos += 1 - - for j, cipher_block in enumerate(blocks[:batch_size]): - if cipher_block == blocks[-oracle_pos]: - char = charset[i*batch_size + j] - known = char + known - if debug: - print(f'[*] Found Tail: {known}') - matched = True - break - if matched: - break - if not matched: - break - elif len(known) == secret_len: - if debug: - print('[+] SUCCESS') - return known - # if we reached the end (no return) - # then the attack failed - err_msg = 'Padding oracle attack failed' - if not debug: - raise DecryptFailed(err_msg) - print(f'\n[!] {err_msg}') - diff --git a/imp/constants.py b/imp/constants.py index 729ebfb..73d70aa 100644 --- a/imp/constants.py +++ b/imp/constants.py @@ -9,7 +9,6 @@ ALPHA_UPPER = 'ABCDEFGHIJKLMNOPQRSTUVWXYZ' ALPHA = ALPHA_LOWER + ALPHA_UPPER ALPHANUM = ALPHA + DIGITS SYMBOLS = '!\"#$%&\'()*+,-./:;<=>?@[\\]^_`{|}~' -PRINTABLE = ALPHANUM + SYMBOLS # Other DIGITS_BIN = '01' DIGITS_OCT = '01234567' diff --git a/imp/crypto/hash.py b/imp/crypto/hash.py deleted file mode 100644 index e7811ec..0000000 --- a/imp/crypto/hash.py +++ /dev/null @@ -1,7 +0,0 @@ -import hashlib - -def sha256(data: bytes, as_bytes: bool = False) -> bytes: - hasher = hashlib.sha256() - hasher.update(data) - hash = hasher.digest() - return hash if as_bytes else int.from_bytes(hash) diff --git a/imp/crypto/rsa.py b/imp/crypto/rsa.py deleted file mode 100644 index 09cd94d..0000000 --- a/imp/crypto/rsa.py +++ /dev/null @@ -1,18 +0,0 @@ -''' -Simplification of Euler's Totient function knowing -the prime factorisation for the public key N value. -''' -def _totient(p: int, q: int) -> int: - return (p - 1) * (q - 1) - -''' -Implements RSA encryption as modular exponentiation. -''' -def encrypt(plaintext: int, e: int, N: int) -> int: - return pow(plaintext, e, N) -def decrypt(ciphertext: int, d: int, N: int) -> int: - return pow(ciphertext, d, N) - -def gen_private_key(e: int, p: int, q: int) -> int: - return pow(e, -1, _totient(p, q)) - diff --git a/imp/math/factor/__init__.py b/imp/math/factor/__init__.py deleted file mode 100644 index e4a5de0..0000000 --- a/imp/math/factor/__init__.py +++ /dev/null @@ -1,2 +0,0 @@ -from .pftrialdivision import trial_division -from .factordb import DBResult, FType, FCertainty diff --git a/imp/math/factor/factordb.py b/imp/math/factor/factordb.py deleted file mode 100644 index b24382e..0000000 --- a/imp/math/factor/factordb.py +++ /dev/null @@ -1,161 +0,0 @@ -''' -Simple interface for https://factordb.com inspired by -https://github.com/ihebski/factordb - -TODO: -1. Implement primality certificate generation, read this: -https://reference.wolfram.com/language/PrimalityProving/ref/ProvablePrimeQ.html -''' - -import requests -from enum import Enum, StrEnum - -_FDB_URI = 'https://factordb.com' -# Generated by https://www.asciiart.eu/text-to-ascii-art -# using "ANSI Shadow" font and "Box drawings double" border with 1 H. Padding -_BANNER = ''' -╔═══════════════════════════════════════════════════╗ -║ ███████╗ ██████╗████████╗██████╗ ██████╗ ██████╗ ║ -║ ██╔════╝██╔════╝╚══██╔══╝██╔══██╗██╔══██╗██╔══██╗ ║ -║ █████╗ ██║ ██║ ██████╔╝██║ ██║██████╔╝ ║ -║ ██╔══╝ ██║ ██║ ██╔══██╗██║ ██║██╔══██╗ ║ -║ ██║ ╚██████╗ ██║ ██║ ██║██████╔╝██████╔╝ ║ -║ ╚═╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝╚═════╝ ╚═════╝ ║ -╚═══════════════════════════════════════════════════╝ -╚═══ cli by imbored ═══╝ -'''.strip() - -# Enumeration of number types based on their factorisation -class FType(Enum): - Unit = 1 - Composite = 2 - Prime = 3 - Unknown = 4 - -class FCertainty(Enum): - Certain = 1 - Partial = 2 - Unknown = 3 - -# FactorDB result status codes -class DBStatus(StrEnum): - C = 'C' - CF = 'CF' - FF = 'FF' - P = 'P' - PRP = 'PRP' - U = 'U' - Unit = 'Unit' # just for 1 - N = 'N' - Add = '*' - - def is_unknown(self) -> bool: - return (self in [DBStatus.U, DBStatus.N, DBStatus.Add]) - - def classify(self) -> tuple[FType, FCertainty]: - return _STATUS_MAP[self] - - def msg_verbose(self) -> str: - return _STATUS_MSG_VERBOSE[self] - -# Map of DB Status codes to their factorisation type and certainty -_STATUS_MAP = { - DBStatus.Unit: (FType.Unit, FCertainty.Certain), - DBStatus.C: (FType.Composite, FCertainty.Unknown), - DBStatus.CF: (FType.Composite, FCertainty.Partial), - DBStatus.FF: (FType.Composite, FCertainty.Certain), - DBStatus.P: (FType.Prime, FCertainty.Certain), - DBStatus.PRP: (FType.Prime, FCertainty.Partial), - DBStatus.U: (FType.Unknown, FCertainty.Unknown), - DBStatus.N: (FType.Unknown, FCertainty.Unknown), - DBStatus.Add: (FType.Unknown, FCertainty.Unknown), -} - -# Reference: https://factordb.com/status.html -# NOTE: my factor messages differ slightly from the reference -_STATUS_MSG_VERBOSE = { - DBStatus.Unit: 'Unit, trivial factorisation', - DBStatus.C: 'Composite, no factors known', - DBStatus.CF: 'Composite, *partially* factors', - DBStatus.FF: 'Composite, fully factored', - DBStatus.P: 'Prime', - DBStatus.PRP: 'Probable prime', - DBStatus.U: 'Unknown (*but in database)', - DBStatus.N: 'Not in database (-not added due to your settings)', - DBStatus.Add: 'Not in database (+added during request)', -} - -# Struct for storing database results with named properties -class DBResult: - def __init__(self, - status: DBStatus, - factors: tuple[tuple[int, int]]) -> None: - self.status = status - self.factors = factors - self.ftype, self.certainty = self.status.classify() - -def _make_cookie(fdbuser: str | None) -> dict[str, str]: - return {} if fdbuser is None else {'fdbuser': fdbuser} - -def _get_key(by_id: bool): - return 'id' if by_id else 'query' - -def _api_query(n: int, - fdbuser: str | None, - by_id: bool = False) -> requests.models.Response: - key = _get_key(by_id) - uri = f'{_FDB_URI}/api?{key}={n}' - return requests.get(uri, cookies=_make_cookie(fdbuser)) - -def _report_factor(n: int, - factor: int, - fdbuser: str | None, - by_id: bool = False) -> requests.models.Response: - key = _get_key(by_id) - uri = f'{_FDB_URI}/reportfactor.php?{key}={n}&factor={factor}' - return requests.get(uri, cookies=_make_cookie(fdbuser)) - -''' -Attempts a query to FactorDB, returns a DBResult object -on success, or None if the request failed due to the -get request raising a RequestException. -''' -def query(n: int, - token: str | None = None, - by_id: bool = False, - cli: bool = False) -> DBResult | None: - if cli: - print(_BANNER) - try: - resp = _api_query(n, token, by_id=by_id) - except requests.exceptions.RequestException: - return None - content = resp.json() - result = DBResult( - DBStatus(content['status']), - tuple((int(F[0]), F[1]) for F in content['factors']) - ) - if cli: - print(f'Status: {result.status.msg_verbose()}') - print(result.factors) - - # ensure the unit has the trivial factorisation (for consistency) - if result.status == DBStatus.Unit: - result.factors = ((1, 1),) - return result - -''' -Reports a known factor to FactorDB, also tests it is -actually a factor to avoid wasting FactorDBs resources. -''' -def report(n: int, - factor: int, - by_id: int, - token: str | None = None) -> None: - try: - resp = _report_factor(n, factor, token) - except requests.exceptions.RequestException: - return None - content = resp.json() - print(content) - diff --git a/imp/math/factor/pftrialdivision.py b/imp/math/factor/pftrialdivision.py deleted file mode 100644 index 8e1b3d0..0000000 --- a/imp/math/factor/pftrialdivision.py +++ /dev/null @@ -1,46 +0,0 @@ -''' -The trial division algorithm is essentially the idea that -all factors of an integer n are less than or equal to isqrt(n), -where isqrt is floor(sqrt(n)). - -Moreover, if p divides n, then all other factors of n must -be factors of n//p. Hence they must be <= isqrt(n//p). -''' -from math import isqrt # integer square root - -# Returns the "multiplicity" of a prime factor -def pf_multiplicity(n: int, p: int) -> int: - mult = 0 - while n % p == 0: - n //= p - mult += 1 - return n, mult - -''' -Trial division prime factorisation algorithm. -Returns a list of tuples (p, m) where p is -a prime factor and m is its multiplicity. -''' -def trial_division(n: int) -> list[tuple[int, int]]: - factors = [] - - # determine multiplicity of the only even prime (2) - n, mult_2 = pf_multiplicity(n, 2) - if mult_2: factors.append((2, mult_2)) - # determine odd factors and their multiplicities - p = 3 - mult = 0 - limit = isqrt(n) - while p <= limit: - n, mult = pf_multiplicity(n, p) - if mult: - factors.append((p, mult)) - limit = isqrt(n) # recalculate limit - mult = 0 # reset - else: - p += 2 - # if n is still greater than 1, then n is a prime factor - if n > 1: - factors.append((n, 1)) - return factors - diff --git a/imp/math/primes.py b/imp/math/primes.py new file mode 100644 index 0000000..513f61e --- /dev/null +++ b/imp/math/primes.py @@ -0,0 +1,67 @@ +from math import gcd + +''' +Euler's Totient (Phi) Function +''' +def totient(n: int) -> int: + phi = int(n > 1 and n) + for p in range(2, int(n ** .5) + 1): + if not n % p: + phi -= phi // p + while not n % p: + n //= p + #if n is > 1 it means it is prime + if n > 1: phi -= phi // n + return phi + +''' +Tests the primality of an integer using its totient. +NOTE: If totient(n) has already been calculated + then pass it as the optional phi parameter. +''' +def is_prime(n: int, phi: int = None) -> bool: + return n - 1 == (phi if phi is not None else totient(n)) + +''' +Prime number generator function. +Returns the tuple (p, phi(p)) where p is prime + and phi is Euler's totient function. +''' +def prime_gen(yield_phi: bool = False) -> int | tuple[int, int]: + n = 1 + while True: + n += 1 + phi = totient(n) + if is_prime(n, phi=phi): + if yield_phi: + yield (n, phi) + else: + yield n + +''' +Returns the prime factorisation of a number. +Returns a list of tuples (p, m) where p is +a prime factor and m is its multiplicity. +NOTE: uses a trial division algorithm +''' +def prime_factors(n: int) -> list[tuple[int, int]]: + phi = totient(n) + if is_prime(n, phi=phi): + return [(n, 1)] + factors = [] + for p in prime_gen(yield_phi=False): + if p >= n: + break + # check if divisor + multiplicity = 0 + while n % p == 0: + n //= p + multiplicity += 1 + if multiplicity: + factors.append((p, multiplicity)) + if is_prime(n): + break + if n != 1: + factors.append((n, 1)) + return factors + diff --git a/imp/math/primes/__init__.py b/imp/math/primes/__init__.py deleted file mode 100644 index ed6d3ca..0000000 --- a/imp/math/primes/__init__.py +++ /dev/null @@ -1,48 +0,0 @@ -from math import inf, isqrt # integer square root -from itertools import takewhile, compress - -SMALL_PRIMES = (2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59) - -''' -Euler's Totient (Phi) Function -Implemented in O(nloglog(n)) using the Sieve of Eratosthenes. -''' -def eulertotient(n: int) -> int: - phi = int(n > 1 and n) - for p in range(2, isqrt(n) + 1): - if not n % p: - phi -= phi // p - while not n % p: - n //= p - #if n is > 1 it means it is prime - if n > 1: phi -= phi // n - return phi - -''' -Tests the primality of an integer using its totient. -NOTE: If totient(n) has already been calculated - then pass it as the optional phi parameter. -''' -def is_prime(n: int, phi: int = None) -> bool: - return n - 1 == (phi if phi is not None else eulertotient(n)) - -# Taken from Lucas A. Brown's primefac.py (some variables renamed) -def primegen(limit=inf) -> int: - ltlim = lambda x: x < limit - yield from takewhile(ltlim, SMALL_PRIMES) - pl, prime = [3,5,7], primegen() - for p in pl: next(prime) - n = next(prime); nn = n*n - while True: - n = next(prime); ll, nn = nn, n*n - delta = nn - ll - sieve = bytearray([True]) * delta - for p in pl: - k = (-ll) % p - sieve[k::p] = bytearray([False]) * ((delta-k)//p + 1) - if nn > limit: break - yield from compress(range(ll,ll+delta,2), sieve[::2]) - pl.append(n) - yield from takewhile(ltlim, compress(range(ll,ll+delta,2), sieve[::2])) - - diff --git a/imp/math/util.py b/imp/math/util.py index 2012e71..e6c160d 100644 --- a/imp/math/util.py +++ b/imp/math/util.py @@ -1,22 +1,2 @@ -def clamp(n: int, min: int, max: int) -> int: - if n < min: - return min - elif n > max: - return max - return n - -def clamp_max(n: int, max: int) -> int: - return max if n > max else n - -def clamp_min(n: int, max: int) -> int: - return min if n < min else n - def digits(n: int) -> int: return len(str(n)) - -# NOTE: assumes A and B are equal length -def xor_bytes(A: bytes, B: bytes) -> bytes: - return b''.join([(a ^ b).to_bytes() for (a, b) in zip(A, B)]) -def xor_str(A: str, B: str) -> str: - return ''.join([chr(ord(a) ^ ord(b)) for (a, b) in zip(A, B)]) - diff --git a/poetry.lock b/poetry.lock deleted file mode 100644 index 6588134..0000000 --- a/poetry.lock +++ /dev/null @@ -1,220 +0,0 @@ -# This file is automatically @generated by Poetry 1.8.4 and should not be changed by hand. - -[[package]] -name = "certifi" -version = "2025.6.15" -description = "Python package for providing Mozilla's CA Bundle." -optional = false -python-versions = ">=3.7" -files = [ - {file = "certifi-2025.6.15-py3-none-any.whl", hash = "sha256:2e0c7ce7cb5d8f8634ca55d2ba7e6ec2689a2fd6537d8dec1296a477a4910057"}, - {file = "certifi-2025.6.15.tar.gz", hash = "sha256:d747aa5a8b9bbbb1bb8c22bb13e22bd1f18e9796defa16bab421f7f7a317323b"}, -] - -[[package]] -name = "charset-normalizer" -version = "3.4.2" -description = "The Real First Universal Charset Detector. 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