FunWithNumbers (version 1.1)

cfrac: Generate the continued-fraction form of an input number

Description

This function takes as input the numerator and denominator, as integers or bigz values, of a value to be converted into continued-fraction form. Irrationals can be processed to arbitrary precision by choosing a "closely-approximating" fraction.

Usage

cfrac(num, denom, ...)

Value

A vector of integers of the same class as the inputs (int, bigz, etc) representing the values in each level of the continued fraction.

Arguments

num

Numerator of the fraction to be converted. If a double is provided, the floor(num) will be used internally. bigz and mpfr values are allowed.

denom

Denominator of the fraction to be converted. Same rules as for the numerator.

...

Reserved for future upgrades

Author

Carl Witthoft,

Details

Quoting from https://en.wikipedia.org/wiki/Continued_fraction, "In mathematics, a continued fraction is an expression obtained through an iterative process of representing a number as the sum of its integer part and the reciprocal of another number, then writing this other number as the sum of its integer part and another reciprocal, and so on."

See Also

cf2latex to generate both an inline text representation of the continued fractdion and LaTeX code for the continued fraction.

Examples

355/113 - pi
# small number
cfrac(355,113)
#[1]  3  7 16