* add variable_length_memory_efficient_attention
* update variable_length_memory_efficient_attention unittest
* update variable_length_mem_eff_attn's docs and unittest
* update variable_length_mem_eff_attn's docs
* Update test_variable_length_memory_efficient_attention.py
* Update variable_length_memory_efficient_attention.cu
* fix codestyle
* fix variable_length_fmha's docs and unittest
* fix variable_length_fmha's docs

* fix_softmax_eigen

* fix_ctest_seresnet

* fix_ci_error

* fix bugs about new ir test

* enable dy2st newir test in all cases

* fix

remove the AdamOptimizer、SGDOptimizer、MomentumOptimizer、ModelAverage、LookaheadOptimizer、FtrlOptimizer、DecayedAdagradOptimizer、DpsgdOptimizer in fluid and relocate the ExponentialMovingAverage、PipelineOptimizer、GradientMergeOptimizer and change optimizer base for LarsMomentumOptimizer and RecomputeOptimizer (#55970)

* change the optimizer base for SGDOptimizer

* change the optimizer base for SGDOptimizer

* replace the SGDOptimizer with SGD

* fix bug of sgd

* change the optimizer base for MomentumOptimizer

* fix the remaining tests

* remove the Momentum in fluid/optimizer.py

* fix bug

* fix bug

* fix bug

* fix bug

* Update test_resnet_cinn.py

* Update test_resnet_prim_cinn.py

* fix bug

* fix bug

* fix bug

* remove the ModelAverage in fluid

* remove the LookaheadOptimizer in fluid

* fix bug

* remove AdamOptimizer in fluid

* Update test_image_classification_fp16.py

* fix bug

* relocate the ExponentialMovingAverage in fluid

* restore the static api

* remove the FtrlOptimizer in fluid

* remove the DecayedAdagradOptimizer in fluid

* remove the DpsgdOptimizer in fluid

* fix bug

* fix codestyle

* fix bug

* fix bug

* relocate the PipelineOptimizer

* relocate the GradientMergeOptimizer

* fix bug

* fix bug

* fix bug

* fix doc

* Update __init__.py

* Update test_fleet_qat_meta_optimizer.py

* change optimizer base for LarsMomentumOptimizer

* fix bug

* fix conflict

* fix code-style

* fix sample codes

* fix bug

* fix bug

* fix cinn bug

* fix bug

* fix bug

* Update qat_optimizer.py

* Update __init__.py

* fix bug

* change optimizer base for RecomputeOptimizer

* fix bug

* fix bug

* Update test_imperative_optimizer_v2.py

* move decayed_adagrad_op to phi

* fix bug

* add mask

* add backword

* add enforce info

* update scale

* integrate code

* update enforce

* add enforce eq

* add error type

* update enforce

* add test_flash_attention

* Polish codes and fix compiling errors.

* Set num_splits to 0 for flash-attn with tensor mask.

* Fix the compiling error for non flash-attn case.

---------
Co-authored-by: NLiu Yiqun <liuyiqun01@baidu.com>

* Test Del paddle_bfloat

* Del paddle_bfloat test

* inplace tol

* code style

* Work for fa-2 padded fwd. Code to be cleaned.

* Work for fa2 unpadded fwd.

* Work for padded-bwd, dk get small diff on np.random.seed(0)

* Anyway I pass paddle's utest, except return softmax without dropout.

* Clean code.

* Modify interface.

* Clean code and add some check.

* Easy compile for dev.

* Fix ci.

* Fix ci-build.

* Add std c++17 option again.

* Limit max job when compiling fa2.

* Remove const_cast

* Add fwd params, to be cleaned.

* Clean code.

* Add bwd params.

* Clean code.

* Add enforce.

* Use v2.0.4

* Pass RNG state to fa2 capi

* Fix review.

* Add assert

* Skip compile for sm less than 80.

* replace embedding

* replace sparse_embedding

* fix some bugs

* del embedding

* repalce layers.embedding

* fix type error

* refacot aot

* update

* fix bugs

* remove some test

* fix bug

* fix bug

* fix bug

* fix bug

* update

* WIP: start writing combined indexing get

* list/tuple/Variable

* getitem 80%

* add setitem

* add some unittest for setitem

* lazy import

* fix some setitem error

* fix advance indexing with decreasing axes; fix strided_slice input name

* combine int-tensor getitem is ok (without boolean support & broadcast); add getitem unittest for static

* add broadcast & parse bool tensor for __getitem

* [change getitem] _getitem_impl_ to _getitem_static, not deleting the former one

* refine new getitem; fix ut in variable/var_base

* add __getitem__ ut in dygraph

* re-dispatch getitem for Py/CPP; fix strided_slice decrease axes error in dygraph

* fix ut; support tensor in slice

* [change setitem] _setitem_impl_ to _setitem_static, not deleting the former one

* remove some UT (for some, temporarily)

* add IndexError to solve timeout problem in static-mode

* 1.temply forbideen all-False bool-indexput; 2.setitem_static will return new variable

* xpu uses old stratege

* rename dy2st setitem ut to avoid same-name problem

* dy2st for new combined index

* ut case for combine-index with dy2st

* open ut with all-false-bool setitem

* remove useless doc and _getitem_impl_

* change static res

* fix static xpu

* fix fp 16

* bf16 rtol

* fixed input

* code style

[Inference] Replace groupNorm when data types are bf16 and fp16, and data format is NHWC implementation. (#55399)

* finish

* cpergroup odd

* fix bf16

* single channel

* code style

* jingdu duiqi

* add head_file

* add bf16 head file

* bf16 2

* bf16

* bf16 head

* bf16 compile

* py test

* bf16 compile

* bf16 compile

* unset py test

* nhwc

* test

* mean var

* bf16 success

* su

* ctest success

* use is_same_as

* is_same

* use is_same

* rtol

* gpu_stream

* del sigmod

* fix bfloat16 type

* use cuda_bf16_hpp

* use_cuda_arch

* bfloat162float2

* del inplace_tol

* del max_releative_tol

* temp store

* jingdu duiqi

* temp store

* plugin

* jingdu duiqi

* duiqi

* include cuda.h

* del half

* half single

* ci

* add const

* ci

* cudamemset

* del printf

* fp16 test

* add half compute

* del br16 ci

* del ci

* ci approve

* del fluid include

* fix security bug

[CodeStyle] replace `assert np.allclose` with `np.testing.assert_allclose` and `assert np.array_equal` with `np.testing.assert_array_equal` (#55385)

* update TestAPI arguments to enable param_attr and bias_attr in test_layer_norm_op

* add bf16 condition in test_layer_norm_op

* add fast_math condition

* simple reaplce

* for debug

* fix bugs

* fix some bugs

* del fill_constant_batch_size_like

support stride

* add fp16 and bf16 support for poisson

* add fp16 and bf16 support for searchsorted

* fix bug

* Update test_searchsorted_op.py

fix function name

* Update test_poisson_op.py

fix function name

* fix bug

* remove the searchorted

* Update test_poisson_op.py

* fix bug of TestPoissonBF16Op

* Update test_poisson_op.py

* Update test_poisson_op.py

* Update test_poisson_op.py

* fix bug of import

* fix bug

* update

* update

* add complex dtype for tanh

* add test case

* support complex for sin, cos and tan

* support gpu

* fix error in cpu

* fix gpu error

* set check_prim to False only for complex type

* bugfix fused_multihead_matmul

* fix test case of fused multihead matmul

---------
Co-authored-by: Nbukejiyu <395822456@qq.com>