Function reference · Math
continued_fraction
Returns a continued-fraction decomposition of a value.
continued_fraction(value[, depth]) returns a Collection containing the sign, whole part, and a Vector of partial quotients. The optional depth limits the expansion.
Examples
These examples use Nerdamer Notation.
Decompose an exact rational value into its sign, whole part, and partial quotients.
continued_fraction(415/93)
// → (1, 4, [2, 6, 7])Limit the continued-fraction expansion to the requested depth.
continued_fraction(415/93,2)
// → (1, 4, [2, 6])Preserve the sign separately for a negative rational value.
continued_fraction(-415/93)
// → (-1, 4, [2, 6, 7])Expose the compact continued fraction of a familiar rational approximation to pi.
continued_fraction(355/113)
// → (1, 3, [7, 16])Interfaces
The same operation is available through the interfaces below.
Nerdamer Notation
Use this form inside input passed to nerdamer(...).
continued_fraction(arg1, [arg2])nerdamer.continued_fraction
Call the operation through the default nerdamer import.
nerdamer.continued_fraction(x: ExpressionInput, depth: ExpressionInput): CollectionParameters
| Name | Type | Description |
|---|---|---|
x | ExpressionInput | — |
depth | ExpressionInput | — |