An implementation of quadratic irrationals with support for conversion from and to periodic continued fractions.

A quadratic irrational is a number that can be expressed in the form

(a + b √c) / d

where a, b and d are integers and c is a square-free natural number.

Some examples of such numbers are

• 7/2,

• √2,

• (1 + √5)/2 (the golden ratio),

• solutions to some quadratic equations – the quadratic formula has a familiar shape.

A continued fraction is a number that can be expressed in the form

a + 1/(b + 1/(c + 1/(d + 1/(e + …))))

alternatively expressed using the notation

[a; b, c, d, e, …]

where a is an integer and b, c, d, e, … are positive integers.

Every finite continued fraction represents a rational number and every infinite, periodic continued fraction represents a quadratic irrational.

3.5      = [3; 2]
(1+√5)/2 = [1; 1, 1, 1, …]
√2       = [1; 2, 2, 2, …]

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• quadratic-irrational-0.0.3.tar.gz [browse] (Cabal source package)
• Package description (as included in the package)

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Package maintainers

• ion, Bodigrim

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• edit package information

Candidates

• 0.0.1, 0.0.2, 0.0.3, 0.0.4, 0.0.5