* 【Hackathon 4th No.12】为 Paddle 新增 Cauchy API

* [Change]修改初始化方法与类型检查

* [Change]将测试用例移动到新的目录下

* [Change]适配to_tensor的0D

* 【Hackathon 4th No.13】为 Paddle 新增 Bernoulli API

* [Change]change unittest_py scipy version

* [Change]修改BernoulliNumpy的类型参数;优化静态图测试流程

* [Change]优化类的初始化及逻辑;增加0D相关测试用例

* isort all files

* revert conflicting files

* revert conflicting files

* revert conflicting files

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

* fix an increment

* update config

* re-blacken python code

* temporarily disable date and diff_py_file

* skip a format

[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

* 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

* 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

* 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