Library of Mathematical functions and Algorithms

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  • Author: Igor van Loo
  • Tags numbertheory, maths, algorithms
  • Requires: Python >=3.7, <4
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mathslib is a compilation of Mathematical Functions and Algorithms I have made or come across. I have used most of these for Project Euler.

See my website ivl-projecteuler.com for their implementation

See the full documentation here

Breakdown

numtheory.py

  • divisors_of(x, include_x)

  • divisors(x, n)

  • continued_fraction(x)

  • overall_fraction(x)

  • phi(x)

  • Mobius(x)

  • ppt(limit, non_primitive)

  • legendre_factorial(x)

  • tonelli_shanks(a, p)

  • ChineseRemainderTheorem(a1, a2, n1, n2)

prime.py

  • Prime_Sieve(limit, block_size, segment, values)

  • is_prime(x)

  • prime_factors(x)

fib.py

  • fibonacci(n)

  • fib_till(limit)

  • ZeckendorfRepresentation(x)

algorithms.py

  • PrimsAlgorithm(matrix)

  • DijkstrasAlgorithm(matrix, start_node, end_node)

  • KnapSack(values, weights, n, W, no_values)

  • KnapSackValues(values, weights, n, W, no_values)

simple.py

  • n_choose_r(n, r)

  • numberToBase(n, b)

  • lcm(a_list)

  • ModDivision(a, b, m)

Project details

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  • Author: Igor van Loo
  • Tags numbertheory, maths, algorithms
  • Requires: Python >=3.7, <4
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