* add jacobian and hessian in paddle.autograd

* disable unitest 'func_multi_input' for bug in high-order gradient of multiply

* add dimension checks

* add support for 0-D tensor

* change return type from Jacobian to Hessian in hessian function

* refine Jacobian _flatten function for single xs

* refine support for 0-D tensor

* 1. add 'func_multi_input' unitest for multiply_grad_kernel bug fixed
already.
2. support non-inplace math operation via magical method overwriting.

* add unitest for math operation and raise error when 0-D tensor is indexed

* add ndim check on ys and xs according to is_batched, and add one unitest

* refine docstring of jacobian and hessian

* move paddle.incubate.autograd.Jacobian/Hessian to paddle.incubate.autograd.functional.Jacobian/Hessian

* remove single_input unitest case because numerical differentiation is wrong

* remove 3 unitest for numerical result(reference result) is wrong

* 1. rename autodiff.py to autograd.py
2. increase TIMEOUT to 100

* cancel modification for functional Jacobian/Hessian

* 1. use tuple as return type instead of list
2. refine docstring

* add more unitest case to improve coverage

* remove 2 unitest of Hessian for numerical result is wrong

* remove 1 unitest of Hessian for numerical result is wrong

* remove 1 unitest of Hessian for numerical result is wrong

* change unit test to shape check

* correct doc and replace incubate API to stable API in _grad

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* polish

* rm paddle_install_dir

* update test=document_fix

* update test=document_fix

* update

* add test

* update

* update

* update

* update

* update

* update

* update

* update

* update

* add todo commont

* add flags for phi

* fix compile bugs

* fix ci bugs

* fix inference bugs

* fix cinn' bugs

* fix cinn bugs

* perfect code according comment

* fix ci bugs

* fix ci bugs

* fluid clean: remove print/switch from fluid to static

* remove Switch in static.__init__

* fix conflicts.

* replace Switch by case.

* fix piecewise_lr decay.

* fix typo

* fix conflicts.

* fix lr dtype

* keep Switch in paddle.static.nn.control_flow and fix piecewise_lr.

* fix conflicts.

* keep Switch in the fluid.

* fix Switch doc

* fix example in Switch doc

* fix Switch doc.

* fix static/__init__.

* support 0d tensor for shape and squeeze onednn kernel

* set python api for shape op ut

* Mv eager tests

* fix

* fix build error

* fix build error

* fix codestyle

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* test=allcase

* fix doc erros, test=allcase

[AMP] Allow to enable multi_precision through paddle.static.amp.decorate and add documents for some apis. (#53012)

* Add document for some apis. test=docs_preview

* Allow to set master_weight in paddle.static.amp.decorate.

* Polish codes and add unittest.

* Refine docs.

* Remove the repetitive function.

* remove fluid.average / fluid.metric

* fix usage in test

* support promote dtype for static amp training

* unify o1 and o2

* update for unittest

* fix op_role

* add use_promote arg

* fix doc

* add promote unittest

* polish unittests

* fix controflow and test

* [XPU] fc use int_with_ll_t

* fix test_unbind_op_xpu

* relocate metri_op.py

* reloacte nn.py

* fix bug

* fix bug

* fix bug

* fix bug

* fix bug

* fix bug

* fix variable->tensor and fix __all__

* fix ctr_metric_bundle and sparse_embedding

* fix bug of function init

* fix bug of importing sparse_embedding and ctr_metric_bundle

* fix bug

* Update __init__.py

[Zero-Dim] support output 0D for is_empty/as_complex/inner/dot/rank/tensordot/squeeze_/static.accuracy/static.auc/metric.accuracy, test=allcase (#52850)

* [Zero-Dim] support output 0D for is_empty/as_complex/, test=allcase

* [Zero-Dim] support output 0D for is_empty/as_complex/, test=allcase

* add test case

* modify dot/metric.accuracy/static.accuracy/static.auc

* modfiy inner/tensordot bug

* test 9 api

* [Zero-Dim] support output 0D for is_empty/as_complex/inner/dot/rank/tensordot/squeeze_/static.accuracy/static.auc/metric.accuracy, test=allcase

* fix bug

* support output 0D for is_empty/as_complex/inner/dot/rank/tensordot/squeeze_/static.accuracy/static.auc/metric.accuracy

* code style

* fix bug

* fix test_dot_op bug

* fix accuracy bug

* fix bug

* fix bug

* fix bug

* fix bug

* codestyle

* fix dot bug

* fix dot bug

* fix dot bug

* code style

* fix dot bug

* fix dot bug

* fix dot bug

* fix dot bug

* fix dot bug

* fix dot bug

* modify code

* support 0-D output and 0-D as indice in __getitem__

* fix tests

* fix inference and UT

* add unittest for setitem

* fix xpu test

* fix xpu 0-d

* mv inference/api infer_ut

* mv test

* merge develop fix error

* fix

* fix build error

* fix build error

* fix bug

* fix tester_helper.h

* fix analyzer_transformer_profile_tester.cc

* fix

* fix mac

* fix mac

* fix error

* fix

* fix

* [XPU] add numel op

* [XPU] update numel/size op registration

* mv sequence tests

* mv sequence tests

* fix test error

* fix

* Implement a common AmpTestBase.

* Support overload of decorate.

* Change the ignore list of flake and fix an error.

* mv ps distributed dir

* fix

* add del auto_parallel

* add auto_parallel

* fix ps

* fix bug

* fix test bug

* fix test bug

* merge develop fix error

* merge develop fix error

* merge develop fix error

* [Test Mv] remove rnn

* Update test_rnn_cell_api.py

* [CustomDevice] fix custom cpu unittests failure when multiple python exist in CI

* Update test_custom_op_setup.py

[Zero-Dim] support 0-D tensor for reduce/reshape/stack/prelu/expand_v2/gaussion onednn kernels (#52185)

* support 0-D tensor for reduce/reshape/stack/prelu/expand_v2/gaussion ops

* fix gaussian random mkldnn op ut

* [phi] move sequence_pool kernel to phi

* [phi] mv sequence_pooling to phi funcs

* [phi] mv sequence_pooling_test

* [phi] RollBACK `paddle/fluid/operators/sequence_ops/sequence_pool_op.cc`

* [phi][funcs] fix mutable_data

* [phi][funcs] fix mutable_data

* Unify the static amp codes of fp16 and bf16.

* Polish apis and add unittest.

* Add operator stats collecting tools for program.

* Add the check of number of bloat16 operators in unittest.

* Add warning for operator not supported for amp.

* Add testing of BF16 O1 and O2.

* move paddle_ir_test to test_ir

* fix bug

* fix bug