* [CodeStyle][py2][U004] unecessary explicit `object` inheritance in class definition

* fix an increment

* [CodeStyle][py2][U008] remove unnecessary args in `super()`

* remove remained args

* revert changes in test_pylayer_op

* Revert "revert changes in test_pylayer_op"

This reverts commit ff185a9ae738afac3b0264f61bde6c6b7f72e7c4.

* revert some changes in example code

* update config

* re-blacken python code

* temporarily disable date and diff_py_file

* skip a format

* Fix W605 in tools folder by adding escape symbols

* Fix W605 in incubate and some other folders

* Fix W605 in /fluid/test folders

* Update tools/analysisPyXml.py
Co-authored-by: NNyakku Shigure <sigure.qaq@gmail.com>

* Add some changes to manual and auto escape symbols

* revert changes in transformer.py

* Fix new code with W605 error: add escape symbols

* revert changes in transformer.py

* revert changes in transformer.py
Co-authored-by: NNyakku Shigure <sigure.qaq@gmail.com>

* init gumbel api

* commit: update test file

* fix：bug

* update Gumbel API

* upgrade distribution/gumbel.py

* add tests/test_distribution_gumbel.py

* fix：code style

* fix：code style

* fix：code style

* fix：code style

* fix bug

* fix：code style

* fix：code style

* fix：rollback uniform

* fix：delete invalid code

* fix：bug and add static test

* fix：code style

* fix：code style

* fix：delete init transforms

* fix：bug

* fix：bug

* fix：code style

* fix：code style

* fix：add transforms

* fix：code style

* fix：code style

* fix：bug

* fix：bug

* fix：code style

* fix：code style

* fix：bug

* fix：code style

* fix：code style

* fix：bug for gumbel.py / add：judge transforms'len for transformed_distribution.py

* update gumbel.py

* fix：bug for test_distribution_gumbel.py

* fix：bug for test_distribution_gumbel_static.py

* fix：code style

* fix：code style

* fix：coverage

* fix：bug

* fix：bug

* fix：code style

* fix：bug

* delete：no use package for gumbel.py

* add：coverage transforms'len judge for test_distribution_gumbel.py

* fix：code style for test_distribution_gumbel.py

* fix：coverage

* fix：code style

* fix：code style

* fix：code style

* fix：code style

* fix：code style

* fix：en doc

* fix：param

* fix：copyright

* fixSample; test=document_fix
Co-authored-by: Ndasen <sen15530876201@163.com>

[CodeStyle][F401] remove unused imports in python_paddle/nn_tensor_reader_tests_distributed_distribution_dataset_utils. (#46721)

* add LogNormal API

* fix bug

* fix bug

* fix bug

* fix bug

* fix bug

* fix bug

* fix bug

* fix bug

* fix bug

* fix bug

* fix bug

* add comment

* fix bug

* fix docs

* fix bug

* fix bug

* fix bug

* add test

* add test

* change the args type of Normal sample

* fix bug

* fix bug

* fix bug

* fix bug

* add test

* add test

* format

* add comment

* add comment

* add comment

* add comment

* format code

* fix bug

* fix bug

* fix bug

* add comment

* remove name parameter for LogNormal

* organize imports

* [CodeStyle] remove all future import

* revert test_error.py

* restore future import in example code

* 增加ks-test；注册kl_divergence

* bug fix

* bug fix data shape

* 按要求修改

* sample code fix

* 按要求修改

* bugfix

* bugfix

* bugfix

* bugfix

* bugfix

* fix sample func

* fix sample func

* 按要求修改；sample函数bugfix

* 按要求修改；sample函数bugfix

* bugfix

* 补充英文文档公式

* 英文文档bugfix

* bugfix

* bugfix

* 英文文档修复

* 去除name参数

* 1. Delete some expression like 'This Op'
2. remove import numpy as np

* test=document_fix

* fix eg; test=document_fix

* fix 'import numpy' cases; test=document_fix

* fix 'import numpy' cases; test=document_fix

* fix some docs; test=document_fix

* delete raise; test=document_fix

* add some introduction; test=document_fix

* add some introduction; test=document_fix

* test=document_fix

* Fix ’note‘ format; test=document_fix

* Fix Returns of cholesky; test=document_fix

* Fix Example format; test=document_fix

* Fix det; test=document_fix

* Fix eig; test=document_fix

* Fix eigh; test=document_fix

* Fix eigh; test=document_fix

* Apply suggestions from code review;test = document_fix
Co-authored-by: NNyakku Shigure <sigure.qaq@gmail.com>

* Apply suggestions from code review;test = document_fix
Co-authored-by: NNyakku Shigure <sigure.qaq@gmail.com>

* Apply suggestions from code review;test = document_fix
Co-authored-by: NNyakku Shigure <sigure.qaq@gmail.com>

* test=document_fix

* test=document_fix

* KLDiv;test=document_fix

* norm example code; test=document_fix

* revert python/paddle/fluid/**/*

* revert python/paddle/distributed/spawn.py

* revert python/paddle/fluid/*

* fix a `Note` format

* Fix inv; test=document_fix

* Fix lu; test=document_fix

* Fix lu_unpack; test=document_fix

* Fix matrix_power; test=document_fix

* Fix multi_dot; test=document_fix

* Fix solve; test=document_fix
Co-authored-by: NNyakku Shigure <sigure.qaq@gmail.com>

* fix some error

* fix

* fix some error

* fix bugs

* fix some errors

* fix

* Update transform.py

fix some docs errors

* Update normal.py

fix some doc errors

* Update uniform.py

fix some docs errors

* Update kl.py

fix some docs errors

* Update math.py

fix some docs error

* Update math.py

fix heaviside links

* Update loss.py

fix

* Update transform.py

fix bugs

* Update math.py

fix

* fix some format issue

* Update normal.py

* fix missing np

* order imports

* fix some flake8 warning

* Update python/paddle/tensor/math.py

* fix OP-->API

* fix op

* fix grid_sample format

* trim trailing whitespace

* empty commit, test=document_fix

* empty commit
Co-authored-by: NSigureMo <sigure.qaq@gmail.com>
Co-authored-by: NLigoml <39876205+Ligoml@users.noreply.github.com>

* trim trailing whitespace

* fix `.cmake-format.py`

* revert npu ut changes, avoid npu ci error

* [Eager] Cast,uniform_random,assign_value use final state

* fix mistake

* fix mistake

* fix CI errors

* add dygraph test for unform

* add fp16 test case for bilinear_initializer

* add name attribute to code-block, test=document_fix

* remove redundant labels, test=document_fix

* remove redundant labels (from upstream), test=document_fix

* more COPY-FROM (try multiple code example), test=document_fix

* empty commit, try to trigger PR-CI-build

* fix some `Examples:` format issues

* fix some ci errors

* migrate dirichlet op kernel to phi

* fix dirichlet sample memory leak

* use yapf to format all python file

* yapf exclude two unittests file for they rely on writing and reading file, and format will break them

* disable diff_py_file because too many diff files cause command following failed

* add random varaiable transformations API for paddle's distribution package

* add TransformedDistribution API for paddle's probability distribution package

* add random variable transformation unitests for static graph

* replace math.prod which not support python3.7 with functools.reduce

* add Independent and TransformedDistribution distribution

* add unittests for constraint

* fix typo and AffineTransform sample code error

* add mean,variance,rsample abstract method for Distribution

* refactor eager flags

* fix flags error when we switch from eager to dygraph

* fix ci problem

* fix ci

* fix ci

* merge develop and fix code style

* merge develop and fix code style

* fix op test error

* fix op test error

* fix op test error

* fix op test error

* fix op test error

* merge develop

* add multinomial probability distribution
* fix categorical sample bug when logits less than zero
* fix categorical sample can't pass hypothesis test and entropy shape error bug

* add beta distribution
* add kl_divergence and register_kl api

* extend Distribution baseclass for supporting multivariant distribution and prob method

* add ExponentialFamily base class and entropy using Bregman divergence

* add dirichlet probability distribution

move distribution.py into distribution package and split into different file for better scalability (#38047)