I would follow the already named objects
sage: for p in Partitions(10, length=3, min_part=2):
....: print(p)
[6, 2, 2]
[5, 3, 2]
[4, 4, 2]
[4, 3, 3]
And see also Permutations, Compositions, ...
Note that these are not only enumerators
sage: Partitions(2**10).cardinality()
61847822068260244309086870983975
Vincent
Le 25/01/2019 à 12:14, Simon Brandhorst a écrit :
The method may get lost among the many methods of a Quadratic Form. But I
guess making it a static method of quadratic forms is a good idea.
On Thursday, January 24, 2019 at 7:53:17 PM UTC+1, David Roe wrote:
On Thu, Jan 24, 2019 at 1:27 PM Simon Brandhorst <sbran...@web.de
<javascript:>> wrote:
So here is a question which came up in #24889:
We have an enumerator of objects, let us call them breeds of dogs which
returns all breeds with user defined properties e.g. breeds of small dogs.
How would you give the user access to it in a sageish pythonic way:
Let us say the way to create a breed is Dog.breed()
DogsBreeds(size=small, color=dark)
Dogs.breeds(size=small, color=dark)
all_breeds_with(size=small, color=dark)
Breeds
?
In our specific case we have quadratic forms and to a quadratic form one
can associate its genus.
Now we have an enumerator which returns all genera of specified signature
and determinant. How to name it?
QuadraticFormsGenera
QuadraticForms.Genera
Genera
?
I don't see a QuadraticForms object in Sage (just a QuadraticForm), so
wouldn't the second be QuadraticForm.Genera?
I would probably go with QuadraticForm.genera, since that doesn't require
adding something to the global namespace, but I think QuadraticFormsGenera
could be okay too.
David
There are examples of each kind of behaviour in the sage library.
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