Does Mathematica have an equivalent of Python's float.as_integer_ratio?

Question

The Python programming language has a float.as_integer_ratio(x) function which exactly converts an IEEE 754 floating-point number into a numerator/denominator pair of integers. For example:

float.as_integer_ratio(0.1)
 => (3602879701896397, 36028797018963968)

What is the Mathematica equivalent of this function for MachinePrecision numbers?

score 22 · Accepted Answer · answered May 24 '15 at 04:33

22

SetPrecision[] does this:

SetPrecision[0.1, ∞]
   3602879701896397/36028797018963968

answered May 24 '15 at 04:33

J. M.'s missing motivation

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Indeed it does. Thanks! – David Zhang May 24 '15 at 04:33
4

SetAccuracy appears to be equivalent. (+1) – Mr.Wizard May 24 '15 at 10:13

score 11 · Answer 2 · answered May 24 '15 at 10:12

11

Not as clean as J.M.'s method but this seems to give the same result:

 0.1 ~RealDigits~ 2 ~FromDigits~ 2

3602879701896397/36028797018963968

Follow with Numerator and Denominator if needed.

answered May 24 '15 at 10:12

Mr.Wizard

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Does Mathematica have an equivalent of Python's float.as_integer_ratio?

2 Answers2

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