* 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 i1 and i1e op

* resolve merge conflicts

* added base code for i0 and i0e

* added grad base code for i0 and i0e

* added i0 and i0e python code

* added ops and backward yaml config

* added i0 and i0e cpu kernel, but not test.

* added i0 and i0e code and unitest files

* added test files

* added i0/i0e gpu implementation code

* updated code style

* updated code style

* fixed unitests code

* updated i0 with eigen3

* fixed bug and added more test cases

* refactor: fixed static graph bug

* refactor: removed i0 and i0e from op_compat

* refactor: updated code style

* refactor: updated op_compat.yaml

* refactor: updated op_compat.yaml

* refactor: fixed op name mapping and optimize unittest case

* refactor: manually implement i0 / i0e

* refactor: added grad kernel for i0 / i0e,didn't finish

* Update math.py

* refactor: added equation to doc in English and added comments for computing i0 / i0e gradient

* refactor: removed eigen implementation

* refactor: finished i0 / i0e cpu and gpu op

* refactor: updated code style

* fix: find  a bug but not fix

* fix: incorrect unittest cases

* update: updated code style and remove my file

* update: updated unittest case

* fix: fixed sign error

* fix: fixed mistakes when merging

* refactor: updated code style

* refactor: remove unused code

* refactor: updated code style

* add index_put api

* fix value broadcast in backward and add test case in static

* add timeout=120s for index_put

* add op_compat for index_put

* add inplace index_put test

* add test case when index tensor in indices is int32 when indices.size less than x.dims

* add index_put api backward in cpu place

* add backward test case

* refactor code to delete some duplicated code

* replace reshape with resize for decrease extra memcpy

* add datatype flag in backward yaml

* fix bug in documentation

* Update python/paddle/tensor/manipulation.py

---------
Co-authored-by: NLigoml <39876205+Ligoml@users.noreply.github.com>

* add logaddexp

* update

* rename monkey_patch_varbase as monkey_patch_tensor & monkey_patch_math_varbase as monkey_patch_math_tensor

* rename monkey_patch_varbase as monkey_patch_tensor & monkey_patch_math_varbase as monkey_patch_math_tensor

* rename monkey_patch_varbase as monkey_patch_tensor & monkey_patch_math_varbase as monkey_patch_math_tensor v2

* rename monkey_patch_varbase as monkey_patch_tensor & monkey_patch_math_varbase as monkey_patch_math_tensor fixed bug

* rem is_compiled_with_npu

* rem nup related code

* make lint happy

* rem test

* remove some tests

* Update grad_scaler.py

* fix an error

* rem is_compiled_with_mlu

* fix some mlu_place and mlu_device_coount

* make lint happy

* delete old dygraph op test

* added paddle.polar to paddle

* added paddle.polar unitest

* failed to use pytorch for evaluating results, and changed with numpy implementation

* updated code style

* updated __init__.py

* updated code style

* fixed unitest code

* lkh test polar

* polar add

* fixed errors and optimized code

* fixed error

* optimized polor api

* updated code style

* updated code style

---------
Co-authored-by: Ndiadestiny <1247889154@qq.com>

* fluid clean: remove parallel and parallel_helper api

* fix: fix the import path.

* fix DataParallel imports issue

* add enable_grad, reafctor no_grad, set_grad_enabled

* fix bug

* fix bug

* format

* fix bug

* format

* format

* fix doc

* fix

* fix

* fix bug

* fix comment

* rebase merge

* code fix

* fix bugs

* update get_device to custom

* add custom_device api

* rm is_compiled_with_custom_device from framework

* add todo comments

move paddle.fluid.layers.tensor.create_parameter to paddle.tensor.creation.create_parameter (#48579)

* [CodeStyle][py2] remove `paddle.compat`

* remove compat from `paddle.__init__`

* enable_static in sample code

* Revert "enable_static in sample code"

This reverts commit ffccaa633900154ea5f3d056e746aae9a1927399.

* enable_static in sample code

* update config

* re-blacken python code

* temporarily disable date and diff_py_file

* skip a format

* update audio api examples

* fix format

* format

* fix

* test api

* fix format

* fix static check error

* fix doc error

* fix ci

* fix api error

* update api.spec

* fix ci

* fix typo in window gaussian

* 之前的pr合并了大量错误代码，重新提交一份

* 之前的pr合并了大量错误代码，重新提交一份

* 修正格式问题

* 改回原来的格式

* 按照要求修改

* 按照要求修改格式

* 修复注释的问题

* 更新格式

* 测试自动格式化

* 修正英文注释

* fix docs build error

* pre-commit

* for docs build

* for docs build

* 修复mantissa计算错误的bug

* 修复误判exponent可能存在负数，导致计算量增加的情况
Co-authored-by: NLigoml <39876205+Ligoml@users.noreply.github.com>

* add paddle vsplit api

* update unittest and fix a typo

* update

* add vsplit to __all__

* update unit test and description of x

* fix typo