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How to import in an Ipython-Notebook on SMC?

asked 2014-10-03 22:30:55 +0100

Peter Luschny gravatar image

Consider the following scenario (which I tested at SageMathCloud), with an Ipython-Notebook:

%load_ext sage
import trans

def A():
    """ Computes the factorial """
    n, f = 1, 1
    while True:
        f = f*n
        yield f
        n += 1

def binomial_trans(seq):
    """ Input : seq sequence generator """
    S = []
    n = 0
    while True:
        yield sum(binomial(n, k) * S[k] for k in (0..n))
        n += 1

f = binomial_trans(A())
print [ for _ in range(10)]

This works. Now I would like to outsource the function 'binomial_trans' in a file and compute

f = trans.binomial_trans(A())
print [ for _ in range(10)]

This does not work. The error message is: AttributeError: 'float' object has no attribute 'n'

What can I do to make the import work together with Sage in an Ipython-Notebook?


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answered 2014-10-04 12:14:54 +0100

Peter Luschny gravatar image

updated 2014-10-04 12:15:36 +0100

I found the answer here: Question 8303. I renamed the file to trans.sage. Then the first lines in my file are

%load_ext sage

Interestingly renaming to nemis.sagews and attach('trans.sagews') does not work.

What I am loosing by this method is the possibility to write 'trans.function()' when referring to functions from the 'trans' worksheet.

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answered 2014-10-03 23:05:51 +0100

tmonteil gravatar image

updated 2014-10-03 23:26:39 +0100

This has nothing to do with SMC, it is a Sage vs Python issue.

The reason is that (0..n) does not exist in Python. Python understands 0..n as follows: 0. is a float corresponding to 0.0, hence 0..n is the method n of the float object 0.0.

Sage understands this the way you want because it has a prepaser that allows such syntaxic sugar, in the same way that 2^2 is preparsed (translated on the fly) into the pythonic 2**2.

Now, when you copy the function binomial_trans() into the file, this is raw Python without preparsing.

So, you need to transform (0..n) into something equivalent in Python, say range(n+1).

But then, if you try again, you will get a new error NameError: global name 'binomial' is not defined. Indeed, you use the binomial function in a Python file without importing it. To know what to do, you can use the Sage function import_statements() which helps Sage developers a lot (note that Sage source code is made of raw unpreparsed Python files where stuff like that needs to be imported, if you look at the source code you will see a lot of import statements):

sage: import_statements("binomial")
# **Warning**: distinct objects with name 'binomial' in:
#   - sage.functions.other
#   - sage.rings.arith
from sage.rings.arith import binomial

So all what you have to do is to add the line from sage.rings.arith import binomial at the beginning of your file

Now it should work.

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Thank you for this very clear outline of what happens.

Peter Luschny gravatar imagePeter Luschny ( 2014-10-04 11:57:44 +0100 )edit

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Asked: 2014-10-03 22:30:55 +0100

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Last updated: Oct 04 '14