* fix: updated code examples.

* fix: added paddle.seed

* fix: updated code style

* Apply suggestions from code review

* refactor: refine detail of code examples

* Update python/paddle/distributed/auto_parallel/static/process_mesh_v2.py

* fix: refine detail

* fix: refine detail

* Update python/paddle/distributed/auto_parallel/static/process_mesh_v2.py
Co-authored-by: NNyakku Shigure <sigure.qaq@gmail.com>

* refactor: refine detail

* refactor: refine detail

* fix: refine doc

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

* optimize the memory

* fix bug in static_build.cc

* fix bug when using logging

* change the static_build

* fix bug in windows

* fix code accordding to review

* Modify kernels to support quantized_matmul

---------
Co-authored-by: Nsuperxf <1208713646@qq.com>

* change prim forward in New IR

* polish code

* polish code

* test case

[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

[xdoctest][task 113] Reformat example code with google style in python/paddle/nn/layer/container.py (#56229)

* [xdoctest][task 113] test=docs_preview

* test=document_fix

* test=document_fix

[xdoctest][task 114] Reformat example code with google style in python/paddle/nn/functional/vision.py (#56230)

* [xdoctest][task 114] test=docs_preview

* test=document_fix

* test=document_fix

* adjust indent

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

[xdoctest][task 124] Reformat example code with google style in python/paddle/quantization/quantize.py (#56235)

* [xdoctest][task 124] test=docs_preview

* test=document_fix

* fix indent

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

[xdoctest][task 122] Reformat example code with google style in python/paddle/quantization/qat.py (#56233)

* [xdoctest][task 122] test=docs_preview

* test=document_fix

* fix indent

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

[xdoctest][task 109]  Reformat example code with google style in python/paddle/optimizer/lr.py (#56225)

* [xdoctest][task 109] test=docs_preview

* fix whitespace test=docs_preview

* Apply suggestions from code review

* fix indent and legacy fluid apis

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

[xdoctest][task 121] Reformat example code with google style in python/paddle/quantization/ptq.py (#56232)

* [xdoctest][task 121] test=docs_preview

* test=document_fix

* fix indent

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

[xdoctest][task 143] Reformat example code with google style in quantization/quantization_pass.py (#56240)

* [xdoctest][task 143] test=docs_preview

* test=document_fix

* fix indent

* fix indent in python/paddle/static/quantization/quantization_pass.py

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

* 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>

* remove empty block program

* update implementation

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

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

* abandon fluid

* fix ()

* fix code

* [Custom Device]add lr_ratio support of adamw for mlu

* fix

* fix

* fix sample codes

* fix bug

* fix bug

* fix bug

【New IR】 backward gradients accumulate test and pulish append_backward_ops func for op_pattern  (#56265)

* [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

---------
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>

* update

* fix codestyle

* update

* update

* test=docs_preview

* test=docs_preview

* Fix and add unittest

* don't introduce assign when already in global block.

* fix more

* fix bugs

* fix bugs

* fix ci

* fix bfgs

* make function local

* support setting backward prim blacklist

* add test case

* polish prim forward flag

* fix test case

* [Custom Dice]add run_check support for custom device

* fix error msg

* fix typo

* update for all custom device

* fix

* add warning msg

* add lu_unpack data check

* add error input api test

* add error type info

* [WIP] Add mp_all_reduce asynchronize overlap.

* Fix some problems.

* Fix dw compute bug, and use a temporary solution to achieve overlap.

* Use fused_linear_param_grad_add to compute dw.

* Reformat ColumnParallel _overlap_linear. Use environment flags to
control following behaviors:
1. export Flags_mp_aysnc_allreduce=True to turn on mp async all_reduce
2. export Flags_skip_mp_c_identity=True to skip two c_identity operators
   in dygraph mode.
3. export Flags_fused_linear_param_grad_add to enable fused_linear_param_grad_add
   in ColumnParallel backward with mp async all_reduce.

* Polish code.

* Remove useless communication API.

* Fix some problems in mp_async_all_reduce and skip_c_identity.

* Add test cases.

* Remove environment variable Flags_fused_linear_param_grad_add in test case.

* Reset error threshold.

* Reset threshold in test case.

* Add useful log. Remove useless test cases.

* refine static op return val

* fix inset get_parameter op bug

* fix bug: insert  only for parameters

* fix bug: wrong idx in vector

---------
Co-authored-by: Nzhangbo9674 <zhangbo54@baidu.com>

* 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>