Changes http://wiki.axiom-developer.org/RealNumbers/diff
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http://www.brics.dk/~barnie/RealLib

RealLib is a real number computation package in C++. Its primary aim is to be 
efficient and to avoid the huge overheads usually associated with real number 
computations.

RealLib3, which is the current version of the library, makes this possible. In 
this version of the library, the user can work on both a layer where numbers 
are represented as terms describing the computation, and a layer where 
functions on real numbers compute on the level of approximations to the real 
number. The latter can be very fast, depending on the precision that is 
actually required by the computation. In the cases where machine precision is 
sufficient, exact real computations can be executed at a speed comparable to 
the speed of double precision arithmetic, sometimes even running on par with 
it. 
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