Exact Real Computer Arithmetic with Continued Fractions
IEEE Transactions on Computers
A course in computational algebraic number theory
A course in computational algebraic number theory
Exact real arithmetic: a case study in higher order programming
LFP '86 Proceedings of the 1986 ACM conference on LISP and functional programming
ICFP '00 Proceedings of the fifth ACM SIGPLAN international conference on Functional programming
RealLib: An efficient implementation of exact real arithmetic
Mathematical Structures in Computer Science
Efficient exact arithmetic over constructive reals
TAMC'07 Proceedings of the 4th international conference on Theory and applications of models of computation
Complexity and intensionality in a type-1 framework for computable analysis
CSL'05 Proceedings of the 19th international conference on Computer Science Logic
Hi-index | 0.00 |
I discuss the design and performance issues arising in the efficient implementation of the scaled-integer exact real arithmetic model introduced by Boehm and others. This system represents a real number with a automatically controlled level of precision by a rational with implicit denominator. I describe three practical codes, in python, C++ and C. These allow the convenient use of this computational paradigm in commonly used imperative languages.