/
all.py
35 lines (30 loc) · 1.5 KB
/
all.py
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from sage.misc.lazy_import import lazy_import
from .misc import (algdep, bernoulli, is_prime, is_prime_power,
is_pseudoprime, is_pseudoprime_power,
prime_powers, primes_first_n, eratosthenes, primes,
next_prime_power, next_probable_prime, next_prime,
previous_prime, previous_prime_power, random_prime,
divisors, sigma, gcd, GCD, xlcm, xgcd, xkcd,
inverse_mod, get_gcd, get_inverse_mod, power_mod,
rational_reconstruction, mqrr_rational_reconstruction,
trial_division, factor, prime_divisors, odd_part, prime_to_m_part,
is_square, is_squarefree, euler_phi, carmichael_lambda, crt, CRT,
CRT_list, CRT_basis, CRT_vectors, multinomial, multinomial_coefficients,
binomial, factorial, kronecker_symbol, kronecker, legendre_symbol,
primitive_root, nth_prime, quadratic_residues, moebius,
continuant, number_of_divisors, hilbert_symbol, hilbert_conductor,
hilbert_conductor_inverse, falling_factorial, rising_factorial,
integer_ceil, integer_floor,
two_squares, three_squares, four_squares, sum_of_k_squares,
subfactorial, is_power_of_two, differences,
sort_complex_numbers_for_display,
fundamental_discriminant, squarefree_divisors,
radical, binomial_coefficients, jacobi_symbol,
dedekind_sum,
prime_factors, prime_range, valuation)
lazy_import('sage.arith.misc', ('Sigma', 'Moebius', 'Euler_Phi'), deprecation=30322)
from .functions import lcm
LCM = lcm
from .srange import xsrange, srange, ellipsis_iter, ellipsis_range
sxrange = xsrange
σ = sigma