* added base code for i0 and i0e

* added grad base code for i0 and i0e

* added i0 and i0e python code

* added ops and backward yaml config

* added i0 and i0e cpu kernel, but not test.

* added i0 and i0e code and unitest files

* added test files

* added i0/i0e gpu implementation code

* updated code style

* updated code style

* fixed unitests code

* updated i0 with eigen3

* fixed bug and added more test cases

* refactor: fixed static graph bug

* refactor: removed i0 and i0e from op_compat

* refactor: updated code style

* refactor: updated op_compat.yaml

* refactor: updated op_compat.yaml

* refactor: fixed op name mapping and optimize unittest case

* refactor: manually implement i0 / i0e

* refactor: added grad kernel for i0 / i0e,didn't finish

* Update math.py

* refactor: added equation to doc in English and added comments for computing i0 / i0e gradient

* refactor: removed eigen implementation

* refactor: finished i0 / i0e cpu and gpu op

* refactor: updated code style

* fix: find  a bug but not fix

* fix: incorrect unittest cases

* update: updated code style and remove my file

* update: updated unittest case

* fix: fixed sign error

* fix: fixed mistakes when merging

* refactor: updated code style

* refactor: remove unused code

* refactor: updated code style

* add logaddexp

* update

* Add addmm tests

* Fix code

* Fix some problems in Paddle english instruction doc files.

* fix some new questions

* fix cn doc problems, test=document_fix

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* fix doc erros, test=allcase

[Zero-Dim] support output 0D for is_empty/as_complex/inner/dot/rank/tensordot/squeeze_/static.accuracy/static.auc/metric.accuracy, test=allcase (#52850)

* [Zero-Dim] support output 0D for is_empty/as_complex/, test=allcase

* [Zero-Dim] support output 0D for is_empty/as_complex/, test=allcase

* add test case

* modify dot/metric.accuracy/static.accuracy/static.auc

* modfiy inner/tensordot bug

* test 9 api

* [Zero-Dim] support output 0D for is_empty/as_complex/inner/dot/rank/tensordot/squeeze_/static.accuracy/static.auc/metric.accuracy, test=allcase

* fix bug

* support output 0D for is_empty/as_complex/inner/dot/rank/tensordot/squeeze_/static.accuracy/static.auc/metric.accuracy

* code style

* fix bug

* fix test_dot_op bug

* fix accuracy bug

* fix bug

* fix bug

* fix bug

* fix bug

* codestyle

* fix dot bug

* fix dot bug

* fix dot bug

* code style

* fix dot bug

* fix dot bug

* fix dot bug

* fix dot bug

* fix dot bug

* fix dot bug

* modify code

* [AMP OP&Test] Add check_dtype for some API (part 2)

* fix ci

* fix ci

* [AMP OP&Test] Add check_dtype for some API (part 1)

* fix

* Add digamma, dirichlet tests

* Fix code

* support uint16 python op in d2s

* convert uint16 -> bfloat16 in docstring

* [AMP OP&Test] Support fp16&bf16 in reduce_max

* add bfp16 test for isfinite

* fixed for ci

* deal with comments

* fixed test

* skip test in cpu

* deal with comments

* fixed for ci

* fixed testcase

* fixed for ci

* fixed for testcase

* add PoissonNLLLoss API

* update unittests

* Fix poisson_nll_loss init and update data type support

* remove type comment

* Update doc string

* Fix doc string erro

* Fix doc string math equation format

* Add float16 and bfloat16 support

* Add pool3d lgamma masked_select tests

* Fix code

* finish task

* fix error

* pre-commit fix code style

* add unittest.

* change unittest.

* delete unittest case.

* add yaml for some op

* fix inplace_abn

* fix test_leaky_relu_grad_grad_functor

* fix yaml

* fix typo

* autofix
Co-authored-by: NLiyulingyue <83450930+Liyulingyue@users.noreply.github.com>

* revert changes in python/paddle/distributed/fleet/utils/hybrid_parallel_util.py

* empty commit, trigger ci

* fix test_slice

---------
Co-authored-by: NSigureMo <sigure.qaq@gmail.com>

* add fp16/bf16 to clip op

* fix as reviewed

* update test_clip_op.py

* update test_clip_op.py

[CodeStyle][C408][C409][C410] Fix unnecessary <dict/list/tuple> call and unnecessary <list/tuple> passed to <list/tupule>() (#51928)

* autofix

* add select config

* autofix C410

* add C410 select

* add_fp16_for_diff

* fix doc_for_fp16

* update env setting

* update pass logic

* dist op support bf16

* backward cast update

* update setting

* update backward

* revert amp pass

* update fp16 backward logic

* register c_embedding bf16

* revert engine

* add unitest

* add unitest

* update unitest

* update cmake

* update math

* update math.py

* update unitest

* update unitest

* revise unitest

* revise unitest

* update unitest

* update unitest

* update unitest

* move fluid.utils to paddle.utils.layers_utils

* fix error

* delete original fluid layers utils

* remove import and old utils

* remove more old utils import

* change import path of fill_constant in the layers_utils.py

* fix mistake

* fix error

* expose in __init__.py

* for comment

* when change the ref of func is_sequence, it should change to the root of is_sequence instead

* for codecheck

* add float16 to log log1p logsumexp

* update log

* update test_activation_op.py

* update

* update codestyle

* Update  test_activation_op codestyle

* update

* update

* up

* update codestyle

* emmm

* -

---------
Co-authored-by: Nwqgo <1552367872@qq.com>

* fix prim_op_test when python api outs is different with kernel sig

* add elementwise op prim test

* fix unit test

* add bfloat16 for full in static  prim api

* empty-commit

* close bf16 test

* polish elementwise tests