[BUG] pycute: logical_product with an integer tiler computes logical_divide

Describe the bug

In python/pycute/layout.py, logical_product dispatches an integer tiler to logical_divide, so it returns a divide result under a product name. The Layout-wrapped form is unaffected, so the two spellings of the same call disagree.

python/pycute/layout.py:312-316:

def logical_product(layoutA, layoutB):
  if layoutB is None:
    return layoutA
  elif is_int(layoutB):
    return logical_divide(layoutA, Layout(layoutB))   # <-- should be logical_product

The identical line at python/pycute/layout.py:301 is correct: it belongs to logical_divide directly above.

The C++ reference does the right thing at include/cute/layout.hpp:1670:

} else if constexpr (is_integral<Tiler>::value) {
    return logical_product(block, make_layout(tiler));
}

Steps/Code to reproduce bug

cd python
python -c "
from pycute import *
A = Layout((2,5),(5,1))
print('product Layout(4):', logical_product(A, Layout(4)))
print('product int 4    :', logical_product(A, 4))
print('divide  int 4    :', logical_divide(A, 4))
"

Output:

product Layout(4): ((2, 5), 4):((5, 1), 10)     <- correct, matches C++
product int 4    : ((2, 2), 3):((5, 1), 2)      <- wrong
divide  int 4    : ((2, 2), 3):((5, 1), 2)      <- identical to the line above

The size is the clearest tell: size(A) is 10, the product should be 40, and the returned layout has size 12.

Expected behavior

logical_product(A, 4) should equal logical_product(A, Layout(4)).

Scope

Everything reaching the integer branch is affected:

Call	Affected
logical_product(A, 4)	yes
logical_product(A, (4,2))	yes, the tuple branch recurses per mode into the int branch
zipped_product(A, 4)	yes, hier_unzip(logical_product, ...) bottoms out there
tiled_product(A, 4)	yes, built on zipped_product
logical_product(A, Layout(4))	no

operators/cutlass/operators/fusion/pycute/layout.py:339 is a copy of the same file and has the same line.

There is currently no test for logical_product or logical_divide in test/python/pycute/.

Environment details

• Environment location: Bare-metal
• Pure Python, no GPU, CUDA or build needed
• Reproduced on main at the time of filing

Additional context

Note this is python/pycute, the Python reference implementation, not the CuTe DSL. The issue-form dropdown has no option for it.

I have a fix and a regression test ready and will open a PR referencing this issue.

Start at python/pycute/layout.py:312-316 and compare the integer branch with the C++ reference at include/cute/layout.hpp:1670; check the duplicated copy at operators/cutlass/operators/fusion/pycute/layout.py:339. Add a regression test under test/python/pycute/ covering integer and Layout tilers, and confirm the product spellings agree, including the expected size.