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How to import functions to program?

asked 2018-12-19 14:26:09 -0600

trrrrrr gravatar image

updated 2019-08-26 14:18:00 -0600

FrédéricC gravatar image

Hello, Sory for stupid question. Im new to sage and I would like to import a class/base that will allow me to use convergent() and numerator() functions. How could I do that?

I found class sage.rings.continued_fraction.ContinuedFraction_base Bases: sage.structure.sage_object.SageObject

However when trying something like import, it doesn't work ..

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answered 2018-12-19 17:05:54 -0600

slelievre gravatar image

Here is an example:

sage: a = 26 / 7
sage: c = continued_fraction(a)
sage: c
[3; 1, 2, 2]

From there one can explore the convergents:

sage: c.convergent(0)
3
sage: c.convergent(1)
4
sage: c.convergent(2)
11/3
sage: c.convergent(3)
26/7

The numerator and denominator of a convergent can be called using the methods numerator and denominator or p and q.

sage: c.numerator(2)
11
sage: c.denominator(2)
3
sage: c.p(2)
11
sage: c.q(2)
3

One can also start from a list:

sage: c = continued_fraction([3, 1, 2, 2])
sage: c
[3; 1, 2, 2]

etc.

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Asked: 2018-12-19 14:26:09 -0600

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Last updated: Dec 19 '18