* fix_docx_stanh

* fix einsum api en docs issue

* fix model api en docs issue

* for codestyle

* fix_einsum.py_einsum, test=document_fix

* fix_model.py_Model, test=ducument_fix

* fix_creation.py_meshgrid, test=document_fix

* fix_linalg.py_slogdet, test=document_fix

* fix_loss.py_SoftMarginLoss_CrossEntropyLoss_NLLLoss_BCELoss, test=document_fix

* norm.py_SyncBatchNorm, test=document-fix

* norm.py_SyncBatchNorm, test=document_fix

* norm.py_SyncBatchNorm, test=document_fix

* list18-30, test=document_fix

* refix_list1-15, test=document_fix

* deletefiles, test=document_fix

* fixedapi_pre-commit, test=document_fix

* fix_list31-45, test=document_fix

* list111, test=document_fix

* some_fix, test=document_fix

* some_fix, test=document_fix

* somefix, test=document_fix

* somefix, test=document_fix

* refix, test=document_fix

* refix, test=document_fix

* refix, test=document_fix

* refix, test=document_fix

* rerfix, test=document_fix
Co-authored-by: Ligoml <limengliu@tiaozhan.com>

* [CodeStyle][E711] use `is`/`is not` for comparison with `None`

* `self.assertTrue($A is None)` -> `self.assertIsNone($A)`

* `self.assertTrue($A is not None)` -> `self.assertIsNotNone($A)`

* `self.assertFalse($A is None)` -> `self.assertIsNotNone($A)`

* `self.assertEqual($A, None)` -> `self.assertIsNone($A)`

* `self.assertNotEqual($A, None)` -> `self.assertIsNotNone($A)`

* add unittest for einsum-v2-trace and diagonal

* repeat labels.

* einsum support repeated labels.

* forward is ok for diagonal and undiagonalized.
TODO: check backward is ok by our theorem.

* backward is ok!

* fix by PR suggestions.

* fix ci error

* fix ci error

* fix ci warning

* update config

* re-blacken python code

* temporarily disable date and diff_py_file

* skip a format

[CodeStyle][F401] remove unused imports in python_paddle/nn_tensor_reader_tests_distributed_distribution_dataset_utils. (#46721)

* Update README.md

* Update README.md

* Fix E713: convert 'not ... in' to 'not in'

* Update README.md

* Update README.md

* Fix F541 by converting f-string to normal strings

* trim trailing whitespace

* fix `.cmake-format.py`

* revert npu ut changes, avoid npu ci error

* change logic for optimize

* modifty

* optimize the backward speed of EinsumOp

* add cache optimizer for einsum op

* EinsumOp: fix new dygraph mode error

* fix bug

* change Cache->InnerCache

* fix code

* fix

* add nan inf utils for einsum op

* add as_extra

* memory optimizer for einsum

* update code

* use yapf to format all python file

* yapf exclude two unittests file for they rely on writing and reading file, and format will break them

* disable diff_py_file because too many diff files cause command following failed

* change logic for optimize

* modifty

* optimize the backward speed of EinsumOp

* add cache optimizer for einsum op

* EinsumOp: fix new dygraph mode error

* fix bug

* change Cache->InnerCache

* fix code

* fix

* add nan inf utils for einsum op

* add as_extra

* Compatible with v2.3 EinsumOp

* remove dispensable

* Extend python einsum interface to make einsum_v2 support multi-operands and switch it to default.

* add opt_einsum dependence

* add yaml and support eager model

* fix by code review

* full api fix

* when out is None, go old dygraph mode

* by static check

* first version: support 2-inputs forwards. TODO: 1. backward  2. BroadCast  3. MultiVariable

* time out -> 120

* formatted.

* Remove dead code.

* Fix error message in the unit test.

* polish formats.

* [Einsum] fix bugs.

* [Einsum] correct output dimension errors due to single element tensors.

* [Einsum] format polish.

* OP dot: refactor CPU kernels and get better loop performance.

* Minor fix on code format.

* Fixed minor errors.

* Add new API: einsum

* Update the Einsum unit test.

One case failed with matmul_v2, where the dtype is int64:

a = np.arange(2 * 3 * 1).reshape(2, 3, 1)
b = np.arange(1)
paddle.einsum("...i, ...i", a, b)

* Test cases in test_einsum test floating point dtypes only.

As of now Paddle only supports float/double dtypes in matmul, which is
one of building blocks of this Einsum implementation. We decide not to
test einsum against other dtypes.

* Polish format.

* More formatting.

* Format...

* Einsum: improve test coverage.

* Einsum: bug fixes and more testcases for testing error messages

* Einsum: fix format..

* Einsum: fixed typo and format.

* Einsum: format again...

* Einsum: applied suggested changes.

* Einsum API: improve API documentation.

* Einsum API: apply suggested changes.

* Einsum API: Add dygraph only note.

* Einsum API: Add dygraph only note.

* Einsum API: fixed unittest.