modular-arithmetic alternatives and similar packages
Based on the "Math" category.
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vector
An efficient implementation of Int-indexed arrays (both mutable and immutable), with a powerful loop optimisation framework . -
hgeometry
HGeometry is a library for computing with geometric objects in Haskell. It defines basic geometric types and primitives, and it implements some geometric data structures and algorithms. The main two focusses are: (1) Strong type safety, and (2) implementations of geometric algorithms and data structures that have good asymptotic running time guarantees. -
dimensional
Dimensional library variant built on Data Kinds, Closed Type Families, TypeNats (GHC 7.8+). -
numhask
A haskell numeric prelude, providing a clean structure for numbers and operations that combine them. -
poly
Fast polynomial arithmetic in Haskell (dense and sparse, univariate and multivariate, usual and Laurent) -
eigen
Haskel binding for Eigen library. Eigen is a C++ template library for linear algebra: matrices, vectors, numerical solvers, and related algorithms.
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README
Modular Arithmetic
This package provides a type for integers modulo some constant, usually written as ℤ/n.
Here is a quick example:
>>> 10 * 11 :: ℤ/7
5
It also works correctly with negative numeric literals:
>>> (-10) * 11 :: ℤ/7
2
Modular division is an inverse of modular multiplication. It is defined when divisor is coprime to modulus:
>>> 7 `div` 3 :: ℤ/16
13
>>> 3 * 13 :: ℤ/16
7