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computationalalgebra
Wellkinded computational algebra library, currently supporting Groebner basis.
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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.
Eq
Ord
Num
Fractional
RealFrac
Floating
(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): 10871105.
 Lester, David R. "Vuilleminâ€™s exact real arithmetic." Functional Programming, Glasgow 1991. Springer London, 1992. 225238. APA