* Fix: The number of times to recursively compute the difference supports any number

* Fix: use pre-commit to format code

* support ir api form prim

* convert vector of int to intarray

* add reference of lbfgs

* add reference of lbfgs

* support ir api for prim

* Add more gen api

* concat python api to concat_grad

* fix gen conflict

* support vjp prim mode in new ir

* remove useless code

* add vjp autogen v1.0

* add test for prim

* resolve type conflict

* modify utils

* remove useless code

* add split op and modify some bug of vectorType

* fix conflict

* add concat python test

* add split python api to vjp

* modify build bug

* modify run bug

* fix conflict bug

* build bug fix

* modify python api bug

* modify test

* fix conflict

* fluid backward recover

* recover conflict

* reply review comments

* modify opruntimeinfo num

---------
Co-authored-by: Ncyber-pioneer <chenzhuo@tju.edu.cn>
Co-authored-by: NCharles-hit <wanghao107@baidu.com>
Co-authored-by: N0x45f <wangzhen45@baidu.com>
Co-authored-by: Nchenzhiyang <1792266893@qq.com>
Co-authored-by: NChen Zhiyang <chenzhiyang99@126.com>

* [prim][newir] add basic framework for primitive

* support desctensor in new ir

* add vjp interface

* support vjp in new ir

* support vjp in new ir

* polish vjp interface

* fix stop_gradients set

* fix vjp dispatch

* add comment

* add vjp test for new ir

* add test for tanh vjp

* [prim][newir] add basic framework for primitive

* support desctensor in new ir

* support vjp in new ir

* support vjp in new ir

* polish vjp interface

* fix stop_gradients set

* fix vjp dispatch

* add comment

* add vjp test for new ir

* add test for tanh vjp

* add eager and static backend for warp lower level api

* support call_vjp pybind

* polish code and add test for vjp

* remove useless code

* polish code

* remove useless code

* support mean vjp

* backward origin code

* add test for mean vjp and support has_vjp function

* fix call_vjp

* polish code

* add attrs and dtype interface

* add primitive ops set for backend

* fix compile bugs

* fix some bugs

* fix windows bugs

* add vjp test for tanh_

* fix inference CI

* fix inference ci

* modify fluid cmake

* origin test of tanh and mean passed

* fix conflict

* modify stop_gradient

* remove useless deps

* add cmake

* modify block.ops

* modify test

* fix conflict

* reply review comments

* reply review comments

* pulish code

* fix comment

* fix test

* polish code

* modify backward stop_gradients

* modify static_backend.cc

* refactor grad_op

* support add and add_inplace vjp

* remove useless code

* remove useless code

* remove cout

* modify add_n

* modify add_n with add_vjp test

* modify add_n with add_vjp test

* fix conflict and concat call_vjp

* modify backward test

* Add more gen api

* modify split kernel pass

* modify concat api

* modify builtin split bug

* delete vlog

---------
Co-authored-by: Ncxxly <chenxx_id@163.com>
Co-authored-by: NCharles-hit <wanghao107@baidu.com>
Co-authored-by: Nzhangbo9674 <zhangbo54@baidu.com>
Co-authored-by: NYuanRisheng <yuanrisheng@baidu.com>
Co-authored-by: N0x45f <wangzhen45@baidu.com>

[xdoctest][task 272-273，282-283] reformat example code with google style in`utils/*`, `tensor/*` (#56438)

* [Doctest]fix No.272-273,282-283, test=docs_preview

* fix number

* fix numpy

* fix xd style

* add complex numel

* change test && add doc

* support ir api form prim

* convert vector of int to intarray

* support ir api for prim

* Add more gen api

* concat python api to concat_grad

* fix gen conflict

* support vjp prim mode in new ir

* remove useless code

* add vjp autogen v1.0

* add test for prim

* resolve type conflict

* modify utils

* remove useless code

* add split op and modify some bug of vectorType

* fix conflict

* add concat python test

---------
Co-authored-by: Ncyber-pioneer <chenzhuo@tju.edu.cn>
Co-authored-by: NCharles-hit <wanghao107@baidu.com>
Co-authored-by: N0x45f <wangzhen45@baidu.com>
Co-authored-by: Nchenzhiyang <1792266893@qq.com>
Co-authored-by: NChen Zhiyang <chenzhiyang99@126.com>

* [Doctest]fix No.198-199, test=docs_preview

* [Doctest]fix No.199, test=docs_preview

* abandon fluid

* fix ()

* fix code

* update

* fix codestyle

* update

* update

* add lu_unpack data check

* add error input api test

* add error type info

* test=docs_preview

* test=docs_preview

* test=docs_preview

* test=docs_preview

* fix indent in math.py

* test=docs_preview

* test=docs_preview

* test=docs_preview

* test=docs_preview

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

* [dtype] add fp16 support for dist_kernel

* fix typo

* fix CE

* fix CE

* fix CE

* fix CE

* fix CE

* refactor

* fix CE

* fix CE

* fix varname

* add bf16

* add ut for bf16

* fix CE

* refine program translator

* fix warning: not override

* fix bug

* merge new modifications

* modify by reviews

* resolve conflicts

* resolve conflicts

* fix

* fix

* fix conflicts

* pseudocode of backward

* modify test

* modify register op

* clear other code

* modify ci build bug

* reply review comments

* reply review comments

---------
Co-authored-by: Nkangguangli <kangguangli@hotmail.com>

Flatten function docstring case 1 displayed incorrect output

* add attrs and dtype interface

* fix compile bugs

* fix some bugs

* fix windows bugs

* [xdoctest] reformat example code with google style in `paddle/tensor/math`

* preview, test=docs_preview

* scale, test=docs_preview

* stanh, test=docs_preview

* multiplex, test=docs_preview

* pow, test=docs_preview

* max, test=docs_preview

* others..., test=docs_preview

* update trunc example code, test=docs_preview

* add paddle-symbolic-trace to paddle

* add symoblic trace

* delete swp

* support Layer in symbolic trace

* fix test-symbolic-trace, make symbolic trace return a StaticFunction

* template the error message

* fix some unittest

* Modify the execution mode of test

* Modify the module name

* add dy2static unittest decorator

* change some unittest files by @ast_only_test

* fix unittest.

* test-symbolic-trace

* update test_write_python_container.py

* update

* fix test_param_parse.py

* add submodule and ln -sf in cmakefile

* update

* update

* fix some ast only errors

* update

* Polish ut

* fix unittests

* update

* update

* fix unittests

* update

* test warning ast only

* update

* Ast only some uts

* Fix unitests

* test_error ast only

* update

* update

* Support build_strategy for sot

* update

* import sot as a third party module

* update

* update

* Polish code

* update

* update

* update

* update

* update

* remove old fluid api and use paddle.nn.relu instead

* fix

* comment the print of ast code

* add try-finally block

* fix dy2static stop-gradient bugs

* fix code

* remove unused submodule and minor codestyle fix

* fix

* fix cast error

* fix interpolate meets int64 in static model

* add evalframe support for py311

* fix

* fix err

* switch ENABLE_FALL_BACK=False

* fix

* Fix CI for some unittest

* add ENABLE_SOT

* remove setup.py dependences

---------
Co-authored-by: NNotHaozi <zhangmenghao@baidu.com>
Co-authored-by: Nfeifei-111 <2364819892@qq.com>
Co-authored-by: N0x45f <wangzhen45@baidu.com>
Co-authored-by: NSigureMo <sigure.qaq@gmail.com>

* fix security bug

* support construct network using ir in Python

* fix py3 bugs

* change source return type to OpResult

support stride

* 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