tolerance; default 1e-6 to make a nicer appearance for
pi.
Details
If x is a scalar its continuous fraction will be generated up to
the accuracy prescribed in tol. If it is of length greater 1, the
function assumes this is a continuous fraction and computes its value.
For implementation contfrac uses the representation of continuous
fractions through 2-by-2 matrices, i.e. the recursion formula.
Value
Either a numeric value, or a list with components cf, numeric vector
representing the continuous fraction [b_0; b_1, …, b_{n-1}];
rat, the rational number as a vector with (numerator, denumerator);
and prec, the difference between x and the value of the
contimuous fraction.
Note
This function is not vectorized.
References
Hardy, G. H., and E. M. Wright (1979). An Introduction to the Theory of
Numbers. Fifth Edition, Oxford University Press, New York.