* add complex dtype for tanh

* add test case

* support complex for sin, cos and tan

* support gpu

* fix error in cpu

* fix gpu error

* set check_prim to False only for complex type

* add int32/int64 for outer/matmul Kernel.

* fix by comment.

* fix by comment

【inplace api】batch add inplace api paddle.log_, paddle.i0_, paddle.nn.functional.leaky_relu_... (#55576)

* batch add inplace api

* add inplace test

* add activation inplace

* fix test

* remove atan2 ge, gt, le, lt, nq

* remove atan2 ge, gt, le, lt, nq

* fix windows ci error

* rerun ci

* fix typro

* fix bugs

---------
Co-authored-by: Nzhangrui34 <v_zhangrui34@baidu.com>

* add paddle.static.setitem

* add some help doc

* support setitem

* support machanism

* add more unittest

* remove usless code

* raise error in static setitem

* fix d2s UT

* remove static only for both-used code

* fix bool set_value in static, fix set_value_op UT

* fix unittests

* [May case some error]: remove inplace-version check

* add two test case for dy2st

* fix function in vision

* fix dy2st setitem support, refine UT case

* fix slice in static_mode

* add ParametersMap

* remove pop

* modify place

* [fix]: variable is also a tensor

* rewrite some ut & remove slicetransformer in dy2st

* solve error in static-mode

* fix ut

* return a result for set_array_write

* fix test_set_value_op_xpu

* code is different in dynamic / static mode

---------
Co-authored-by: NAurelius84 <zhangliujie@baidu.com>
Co-authored-by: NNotHaozi <zhangmenghao@baidu.com>

* add_example_for_lazygurd

* fix

* batch add inpalce api

* fix inplace fn generate

* add test for  new inpalce api

* fix typro

* fix typro

* fix typro

* fix test error

* fix atan2

* remove atan2

* auto genereate inpalce api

* fix inplace generate fn error

* fix windows error

* fix test error

* fix test error

* fix windows ci error

* fix test error

* fix test_error

* fix test error

* fix eigen aliasing error in inplace

* remove elementwise_pow inplace

* fix doc error

* fix test error

* [Add]Add Xdoctester

* [Fix]fix beta docstring

* [Doctest]change dirichlet docstring

* [Doctest]change gumbel docstring

* [Doctest]change bernoulli docstring

* [Doctest]change categorical docstring

* [Doctest]change ops.py docstring

* [Doctest]change conv docstring

* [Doctest]change distance docstring, test=docs_preview

* [Change]add ref

* [Change]patch xdoctest debug

* add more data type for all/any.

* remove xpu fix.

* add test unit.

* fix typename name.

* fix output data type.

* DOCS: Adding imformation about datatype in math.py

* replaced uint16 with bfloat16.

* 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

* exp/expm1 support int32/int64

* fix ut

* fix ut

* fix ut

* [Zero-Dim] paddle.nanmedian support 0D Tensor

* fix CI

* construct dist tensor

* move constructor to header

* 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>

* add fp&bf16 bernoulli

* add check_dtype & fix error

* fix rocm error

* floor div support float/double/bfloat16/float16

* add ut

* fix bug

* fix fft.ifftshift for floor_divide upgrade

* fix comment

* fix bugs

* fix bug

* add deal with np.int type

* add assertEqual for dtype.

* fix bug

* fix by comment

* fix np.integer.

* fix processing logic of the arange function when dtype is empty.

* update commit version

* fix ValueError when end is None.

* add unitest for new case.

* fix tensor type.

* remove paddle.to_tensor(), add more test unit.

* remove useless line.

* fix enable_static

* add new test unit.

* fix by comment.

* [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