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Move vector_random() to free_module.py with doctests #40344

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Move vector_random() to free_module.py with doctests #40344

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acb91e1
Move vector_random() to free_module.py and add test
Jun 30, 2025
dd4ac39
Move vector_random() to free_module.py and add doctests
Jun 30, 2025
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18 changes: 18 additions & 0 deletions src/sage/modules/free_module.py
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Original file line number Diff line number Diff line change
Expand Up @@ -175,6 +175,8 @@
# https://www.gnu.org/licenses/
###########################################################################



import itertools
from warnings import warn

Expand Down Expand Up @@ -223,6 +225,21 @@
#
###############################################################################

def vector_random(R, n, *args, **kwargs):
r"""
Return a random element of the free module of rank ``n`` over ``R``.

EXAMPLES::

sage: from sage.modules.free_module import vector_random
sage: v = vector_random(ZZ, 3)
sage: len(v)
3
sage: v.parent().base_ring() is ZZ
True
"""
return FreeModule(R, n).random_element(*args, **kwargs)


class FreeModuleFactory(UniqueFactory):
r"""
Expand All @@ -233,6 +250,7 @@ def create_key(self, base_ring, rank, sparse=False, inner_product_matrix=None):
TESTS::

sage: loads(dumps(ZZ^6)) is ZZ^6

True
sage: loads(dumps(RDF^3)) is RDF^3
True
Expand Down