### Calculating the simple continued fraction of a quadratic irrational

This program finds the continued fraction expansion of a
quadratic irrational (u + t√d)/v, where d,t,u,v are integers, d >1 and nonsquare, t and v nonzero.

We use the continued fraction algorithm as described in K. Rosen,
*Elementary Number theory and its applications*, 379-381 and Knuth's
*The art of computer programming*, Vol. 2, p. 359.

The first reduced complete quotient is located and this leads to the period.
(Also see MP313 lecture notes.)

E=1 prints the partial quotients, convergents and complete quotients, whereas E=0 prints only the partial quotients.

The period is printed in **bold** font.

*Last modified 27th June 2006*

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