num2str

num2str is a tiny Python library to convert a floating number into some specific mathematical expressions. The algorithm, which can be used in numerical calculation tools, is simple and efficient.

Source file can be downloaded here.

The following example shows how to use this library:

>>> from math import *
>>> from num2str import num2str
>>> num2str(3 / 5)
'3/5'
>>> num2str(pi / 2)
'π/2'
>>> num2str(cos(pi / 6))
'sqrt(3)/2'
>>> num2str(sin(pi / 12))
'(sqrt(6)-sqrt(2))/4'

It supports the following formats:

  1. $\frac{a}{b}$
  2. $\frac{\sqrt{a}}{b}$
  3. $\frac{\sqrt{a}+\sqrt{b}}{c}$
  4. $\text{some value}\times\pi$

We use a new algorithm to calculate the (3) format, You can find more information about the algorithm in this blog.

perform

The above figure is about the algorithm's efficency. This indicates how many steps it takes for the algorithm to find the result to $\sqrt{x}+\sqrt{y}$.