* Fix numpy 1.20+ deprecation warnings (#42929)

* Replace np.bool/np.bool8 with np.bool_

* Replace np.object with np.object_

* Replace np.complex with np.complex128

* Replace np.float with np.float64

* Replace np.int with np.int_

* Rerun pre-commit for newer pre-commit configuration

* Use builtin bool instead of np.bool_ based on the context

* fix mode dtype
Co-authored-by: Nzlsh80826 <rewang@nvidia.com>

* gradients; test=document_fix

* fix VarType; test=document_fix

* fix vartype; test=document_fix

* cumsum; test=document_fix

* t; test=document_fix

* add rsqrt yaml and unittest (#41443)

* Add expand equal all yaml (#41540)

* add expand, poisson

* add poison grad

* add expand equal_all poisson triangular solve yaml
Co-authored-by: Nhong <43953930+phlrain@users.noreply.github.com>

* [DoubleGrad] Enabled double grad test cases in eager_mode for test_imperative_double_grad

* Fixed elementwise issue

* Addressed CI failures

* [DoubleGrad] Enabled test_imperative_triple_grad test cases under eager_mode

* [DoubleGrad] Enabled test_autograd_functional_dynamic.py under eager mode

* Enabled more test cases

* Fixed performance issues

* Fixed minor issue

* add multi_dot,maxout,multiplex yaml

* add code converage

* [Yaml]add exp yaml (#41217)

* add exp yaml

* add exp api in test case

* add determinant yaml

* fix exp op unittest

* change test class name

* modify api name

* compacted with raw api

* fix det api

* add python_api

* add test eager for determinant op

* [Yaml] Add assign yaml (#41428)

* add assign yaml

* add assign api

* add assign backward api

* add assign

* add assign yaml

* add assign

* assign yaml

* add assign raw kernel and use assign_raw in yaml

* merge develop branch

* add missing python_api

* exchange assign and assign_raw kernel name (#41625)

* exchange assign and assign_raw kernel name

* fix register error

* [Yaml]add gaussian_random yaml and test case (#41312)

* add guassian random yaml

* add gaussian_random yaml and test case

* fix error modify of full yaml

* import in_dygraph_mode

* import _in_legacy_dygraph

* add place arg in api

* import __current_expected_place

* fix test_egr_python_api failed case

* add test case

* add cast for NormalInitializer

* fix test error

* fix test error

* rm unsed check code

* fix test error in test_initializer_nn

* modify by review

* [Phi]fix split error when sections has 0 size and add test case (#41708)

* fix split error when sections has 0 size and add test case

* fix test case

* Add yaml for matrix rank op (#41466)

* modify matrix_rank

* add matrix_rank shape

* add matrix_rank shape

* Add yaml for matrix_rank OP

* Add UT
Co-authored-by: Nzhoujianqian <15205085056@163.com>

* Add yaml for eye OP (#41476)

* [cherry-pick] Add yaml config for matrix_rank, eye, deformable_conv and
deformable_conv_v1 OPs
* Add yaml for deformable_conv and deformable_conv_v1 OPs

* Add UT

* Add to skipped_phi_api list for infrt
Co-authored-by: Nzhoujianqian <15205085056@163.com>

* add dist erfinv gumbel softmax

* fix test gumbel softmax op bug

* try to fix gumbel softmax error

* add label smooth backlist

* [Eager]Fix segment_pool/allclose/isclose/scale API bug (#41506)

* [Eager]Fix segment_pool/allclose/isclose/scale API bug

* fix kernel register problem

* add norm, segment_pool (#41465)
Co-authored-by: Nhong <43953930+phlrain@users.noreply.github.com>

* eager math op, test=develop

* eager support lookahead, test=develop

* refine,test=develop

* refine doc, test=develop

* refine,test =develop

* refie, test=develop

* refie, test=develop

* refie, test=develop

* test_paddle_multiprocessing

* refine, test=develop

* refine, test=develop

* fix bug, test=develop

* refine, test=develop

* dataloader, test=develop

* refine, test=develop

* refine, test=develop

* refine, test=develop

* test_datasets timeout, test=develop

* refine, test=develop

* Add yaml config

* Add yaml for flatten_contiguous_range_op

* Remove h_sigmoid yaml

* Fix CI errors

* Fix code format

* Fix flatten OP errors

* Fix conflicts

* Fix CI errors

* Remove flatten_contiguous_range OP

* Remove redundant code

* Fix typos

* [Eager]Fix eager no take effect problem

* add element_wise and fix greater_than

* 1. add the python api grad 2. add final and intermediate state vlog 3. change the python_api error logic

* add python api or close the check_eager=True

* fix the compatibility

* fix error; test=develop

* update

* close some yaml

* fix backward attrite error; test=develop

* add div test

* polish code; test=develop

* update

* update

* fix bug

* update bitwise code; test=develop

* update

* update

* fix some bug

* update

* revert cmakelist

* fix optional bug;

* fix bug

* fix bug;

* add backward test

* open bn

* update

* update

* revert eager_gen

* polish code

* fix topk error

* update

* update

* fix bug;

* move label smooth, nll loss

* revert topk

* fix topk label smooth bug;

* remove batch_norm

* remove topk

* change flip infer meta

* fix flip bug

* update yaml

* close abs

* fix histogram bug

* fix histogram bug

* add abs

* fix histogram kernel

* remove expand

* 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 stft_op.

* Add stft_grad_op.

* Add stft_op unittest.

* [DLTP-45176] Add complex compatibility in static mode for stft api.

* [DLTP-45176] Add complex compatibility in static mode for stft api.

* Add doc.

* Update unitests of stft op.

* Update spectral helper.

* fix coding style.

* add add yaml

* add elementwise add yaml; test=develop

* add norm

* update

* add some yaml config; test=develop

* fix bug; test=develop

* fix compare error; test=develop

* revert erger_gen.py

* update; test=deveop

* remove usless code; test=deveop

* fix bug; test=develop

* fix test error; test=develop

* remove int_type; test=develop

* fix type error; test=develop

* format; test=develop

* remove type register; test=develop

* polish code; test=develop

* fix ci error; test=develop

* fix 'is with a literal'

* fix typo

* add lstsq gpu kernel

* update

* add docs_en

* modify ut

* fix bugs

* modify example in docs_en

* remove lstsq_op.cu from ROCM cmake

* modify docs_en

* modify docs_en

* modify docs_en

* remove unneccessary TensorCopy

* add cpu kernel of lstsq

* update

* modify code style

* modify unittest

* remove support for complex

* add new API paddle.nn.initializer.Orthogonal and calculate_gain

* fix comment

* fix comment

* add new API: paddle.linalg.triangular_solve

* add new API/OP: paddle.linalg.triangular_solve

* add new API/OP: paddle.linalg.triangular_solve

* fix comment

* add eigvalsh with is_test

* add eigvalsh op

* fix backward bug

* forward and backward, float and complex, unittest

* remove eigvalsh_helper.h

* remove changes of cusolver.h

* fix unittest

* fix unittest bug

* update code following eigh

* fix test

* update lapack

* pull develop

* update funcor

* fix unittest bug

* fix details

* add tensor_method_func

* fix notes

* Add bincount op

* upload cpu version

* fix unitest

* fix unittest

* fix unittest

* fix en doc

* add more test

* fix en doc

* add more test case

* fix test

* fix input vailidation

* fix input check

* fix unittest

* fix test

* fix en doc

* Add QR decomposition op

* Change codes to adapt to new svd_helper

* Update linalg.py

Restore the deleted comma

* Restore the deleted line

* Update linalg.py

* Update linalg.py

* Improve the qr code by reviews

* Update QR based on CI results

* Update qr doc, test=document_fix

* Change unsafe and ill-formed codes

* Add paddle.linalg.eig op

* remove comments

* remove comments

* extend batch_size to the origin

* add real times complex functor & destroy the backward complex output bug

* terminate output diff when input real tensors

* correct tiny doc errors

* move functions from eig_helper to svd_helper and remove eig_helper

* remove tensor.Resize

* remove no longer used code

* use existing lapack functions

* reply review comments 21/27

* remove .cu as this op is only executed on CPU

* remove const_cast & add const in argument list for read-only references

* fix sample code error in CI

* remove template typename Tbase and more

* remove eig exposure in paddle.*

* add 'name=None' in eig python implementation

* handle the unittest

* try to solve the unittest

* solve CI coverage

* remove no longer used code

* polish API doc and more

* reply review comments

* polish unittest, commit plan B

* polish unittest

remove recent linalg api in paddle.init;
add args 'name' in some new linalg api interface
same change in develop branch to #36112

* Add linalg.solve op, test=develop

* Fix a bug caused by accidental deletion

* updated description and fix a bug: missing a comma

* Add linalg.solve op, test=develop

* updated solve op backward logic

* updated solve op backward logic again

* Add linalg.solve Op, test=develop

* Updated and modified to fit CI requirements

* Fix a bug

* 1)Add more test cases; 2)Fix a wrong usage in reduces operation; 3)Remove redundant code

* Remove redundant comments

* 1)Removed redundant code; 2)Updated to enhance code robustness

* Removed redundant code

* Updated API documents