cf alternatives and similar packages
Based on the "Math" category.
Alternatively, view cf alternatives based on common mentions on social networks and blogs.
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vector
An efficient implementation of Int-indexed arrays (both mutable and immutable), with a powerful loop optimisation framework . -
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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+). -
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numhask
A haskell numeric prelude, providing a clean structure for numbers and operations that combine them. -
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poly
Fast polynomial arithmetic in Haskell (dense and sparse, univariate and multivariate, usual and Laurent) -
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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
CF
This package implements Gosper's algorithm for arithmetic on (often
infinite) continued fractions. This allows us to do arbitrary
precision calculations without deciding in advance how much precision
we need. Following Vuillemin, our continued fractions may contain zero
and negative terms, so that the functions in Floating can be
supported.
The type CF has instances for the following typeclasses.
EqOrdNumFractionalRealFracFloating(currently missingasin,acos,atan)
Because equality of real numbers is not computable, we consider two
numbers == if they are closer than epsilon = 1 % 10^10. For the
same reason, floor and its cousins may give an incorrect result when
the argument is within epsilon of an integer.
References
- Gosper, Ralph W. "Continued fraction arithmetic." HAKMEM Item 101B, MIT Artificial Intelligence Memo 239 (1972). APA
- Vuillemin, Jean E. "Exact real computer arithmetic with continued fractions." Computers, IEEE Transactions on 39.8 (1990): 1087-1105.
- Lester, David R. "Vuillemin’s exact real arithmetic." Functional Programming, Glasgow 1991. Springer London, 1992. 225-238. APA