1 Aug 17:50 2012

## ANNOUNCE: cyclotomic 0.3.1: exact calculations with a subfield of the complex numbers

Scott N. Walck <walck <at> lvc.edu>

2012-08-01 15:50:03 GMT

2012-08-01 15:50:03 GMT

cyclotomic is a library that allows exact calculations with a subfield of the complex numbers. The cyclotomic numbers are a subset of the complex numbers with the following properties: * The cyclotomic numbers are represented exactly, enabling exact computations and equality comparisons. * The cyclotomic numbers contain the Gaussian rationals (complex numbers of the form p + q i with p and q rational). As a consequence, the cyclotomic numbers are a dense subset of the complex numbers. * The cyclotomic numbers contain the square roots of all rational numbers. * The cyclotomic numbers form a field: they are closed under addition, subtraction, multiplication, and division. * The cyclotomic numbers contain the sine and cosine of all rational multiples of pi. * The cyclotomic numbers can be thought of as the rational field extended with nth roots of unity for arbitrarily large integers n. To install, just cabal install cyclotomic(Continue reading)