* [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

* fix fp16 dtype checking for clip op

* modify the name

* fix type error

* fix check error

* Update test_clip_op.py

fix test error

* Update test_clip_op.py

fix code style

---------
Co-authored-by: NZhang Ting <Douyaer2020@qq.com>

* add float16 in python/paddle/math

* add unittest for float16

* add float16 support in python.paddle.tensor.search.where

* remove fp16 error cases

* Add NotImplementedError unittest

* fix codestyle

* fluid to paddle.static; add cases with GPU

* Add float16 in English docs

* rename elementwise_heaviside to heaviside

* delete __init__.py

* fix bug

* support 'complex promote' in yaml

* change the compplex_promote

* change 'kron' in math.py

* change 'kron' comment in python

* change kron comment in python

* change kron comment in python

* support prim test in OpTest

* fix cmake

* fix op test

* fix test_input_spec

* disable cinn in reduce_sum unit test

* add bfloat16 dtype for sum

* polish code

* add clear jit program function

* convert grad out from tensor to numpy

* remove unnecessary code

* add only_prim flag

* fix flag

* fix op test

* fix optest comp inplace error

* fix op test

* fix op test with guard

* add initialization of check_comp flag

* fix comp inplace error in op test

* rename check_comp with check_prim and add bfloat16 dtype convert

* rename comp_op_type to prim_op_type

* rename comp to prim

* remove useless code

* skip ci check for only prim

* add no_grad_vars and grad_outputs in prim test

* fix var_dict

* fix op test for only_prim

* fix dy2static bugs

* polish some code

* remove axis in some elementwise api

* fix inplace bug eager-gen

* fix bug

* revert change for CheckInplace

* polish code