* add lerp bf16 support

* fix bug

* Update test_lerp_op.py

modify the input dtype

* modify the test_lerp_op.py

* Update test_lerp_op.py

* fix bug of import

* add user_defined_grads

* Update test_lerp_op.py

* fix bug of grad

* fix bug of grad

* fix bug of grad

* add the check for bfloat16 dtype

* add clone for inpalce

* fix name

* add inplace pow

* fix typro

* add note

* fix typro

* fix typro

* fix bug

* fix test error

* add type error test

* adjust indentation

* fix for log xxx

* add int32/int64 for cpu/gpu; add float16/bfloat16 for cpu forward

* fix docstring

* fix bug

* fix bugs

* fix bugs

* fix bugs

* fix bugs

* fix bug

* using cast

* fix test

* fix api

* fix other bugs

* fix ci bug for not using dygraph guard

* add bfloat16 test

* fix ut

* bf16

* bump ruff to 0.0.271 and update config

* exclude third_party

* bump ruff to 0.0.272

* refine config

* add ldexp api

* fix ldexp

* Update math.py

fix math.py

* rewrite the ldexp

* Simplify ldexp implementation

* fix codestyle

* Update math.py

* Update math.py

* modify the test_ldexp.py

* fix the input bug of np.ldexp

* fix the bug of np.ldexp in windows

* modify the ldexp function and add the dtype check of output

* Update test_ldexp.py

* fix the dtype

* fix codestyle

* Update python/paddle/tensor/math.py

add note for code description
Co-authored-by: Nzachary sun <70642955+sunzhongkai588@users.noreply.github.com>

---------
Co-authored-by: Nzachary sun <70642955+sunzhongkai588@users.noreply.github.com>

* feat: added polygamma init code

* feat: added polygamma unittest code

* test: added more test cases

* refactor: added forward impl

* refactor: added backward impl

* test: updated cases

* refactor: updated test cases

* refactor: added more case and fixed some bugs

* test: updated ref func

* refactor: updated code style

* refactor: move the code

* refactor: updated test

* refactor: updated test

* docs: updated en doc
Co-authored-by: Nzachary sun <70642955+sunzhongkai588@users.noreply.github.com>

* docs: updated math eq

---------
Co-authored-by: Nzachary sun <70642955+sunzhongkai588@users.noreply.github.com>

* floor div support float/double/bfloat16/float16

* add ut

* fix bug

* fix fft.ifftshift for floor_divide upgrade

* fix comment

* fix bugs

* fix bug

* [dygraph]unify _non_static_mode() in_dygraph_mode() and in_dynamic_mode()

* [dygraph]unify _non_static_mode() in_dygraph_mode() and in_dynamic_mode()

* [dygraph]unify _non_static_mode() in_dygraph_mode() and in_dynamic_mode()

* [dygraph]unify _non_static_mode() in_dygraph_mode() and in_dynamic_mode()

* [dygraph]unify _non_static_mode() in_dygraph_mode() and in_dynamic_mode()

* [dygraph]unify _non_static_mode() in_dygraph_mode() and in_dynamic_mode()

* fixed cyclic reference that caused patial import

* fixed bad change

* fix bad import

* fix bad import

* fix bad import

* fix ut failed caused by change in_dynamic_mode

* fix ut failed caused by change in_dynamic_mode

* fixed usage of in_dynamic_mode() or in_dygraph_mode()

* revert python3 to python in .pre-commit-config.yaml

* fix merge conflicts

* add meshgrid,expand_as, prod and grad bf16 kernel

* fix bf16 for optest

* modify code style

* fix amp test

* Add i1 and i1e op

* resolve merge conflicts

* 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>