* add float16 in python/paddle/math

* add unittest for float16

* add float16 support in python.paddle.tensor.search.where

* remove fp16 error cases

* Add NotImplementedError unittest

* fix codestyle

* fluid to paddle.static; add cases with GPU

* Add float16 in English docs

* [kunlun] support reduce_scatter

* uncomment unittest

* update xccl to 1.0.10

* [XPU] bind op scatter_nd_add

* [XPU] add more data type for op: clip, transpose2 & assign_value

* fix dist_attr in data_parallel in optimization

* fix grad_clip pass when pp2

* fix dist_attr

* [mv fleet] mv fleet to distributed

* [mv fleet] for ci

* [mv fleet] for ci

* [mv fleet] solve ci of version

* fix set_grad_var_shape

* recover modify

* change outputs and grads from fp16-fp16-comparision and fp16-fp32
comparision

* support grad comparision fp16-fp32

* the change of reference dtype only occured from np.float16 to np.float32

* fix the list type can not infer the dtype by attribute dtype by transfer
the list to array

* adjust the default atol and rtol of float16 to 1e-3

* Polish code

* fix error

* fix

* Polish code

* fix the _is_cal_ref and np.float16

* fix the combination of is_calc_ref and np.float16

* remove unuseful codes in op_test.py

* fix ci

* fix the rtol set in the dygraph checker and eager checker

---------
Co-authored-by: NZzSean <18818272991@163.com>

* rename elementwise_heaviside to heaviside

* delete __init__.py

* fix bug

* Revert "fixoptminizer _set_auxiliary_var bug (#50335)"

This reverts commit c44005f0.

* Revert "refine optimizer create accumulators (#50188)"

This reverts commit 244e7546.

* Revert "fix found_inf bug for custom optimizer (#50158)"

This reverts commit 64573f9f.

* Revert "refine amp scaler found_inf (#49864)"

This reverts commit 382e9a06.

* fix code format

* fix conflict

* fix

* and others

* more ops

* reset distribute_fpn and precision_recall

* reset fc

* modify arange test

* modify reshape&reduce

* add fill_any and sigmoid_cross_entropy

* reset linear_interp_v2

* reset reduce

* modify

* modify arange

* modify cast

* change amp with to_prim

* fix prim amp

* fix rules

* fix liear

* add amp test

* add test

* disable this test on cpu

* disable this test on cpu

---------
Co-authored-by: Ncyber-pioneer <chenzhuo@tju.edu.cn>

* support 'backend' in static ops

* change bitwise_xx comment in python

* change bitwise_xxx comment in python

* change 'backend' and 'data_type' in GetExpectedKernelType

* Add bert prim and cinn test

* support prim test in OpTest

* fix cmake

* fix op test

* fix test_input_spec

* disable cinn in reduce_sum unit test

* add bfloat16 dtype for sum

* add approve rules

* polish code

* add clear jit program function

* convert grad out from tensor to numpy

* remove unnecessary code

* add only_prim flag

* fix flag

* fix op test

* add attr

* fix optest comp inplace error

* fix op test

* fix op test with guard

* add initialization of check_comp flag

* fix comp inplace error in op test

* rename check_comp with check_prim and add bfloat16 dtype convert

* rename comp_op_type to prim_op_type

* rename comp to prim

* remove useless code

* skip ci check for only prim

* add no_grad_vars and grad_outputs in prim test

* fix var_dict

* fix op test for only_prim

* fix dy2static bugs

* polish some code

* temp

* modify op test

* except cinn test

* modify bfp16

* modify pad grad

* add pad_grad dtype

* start cinn part

---------
Co-authored-by: NCharles-hit <wanghao107@baidu.com>

* fix attrs loss in creating op

* add comment

* add case

* add case

* remove unused case setting

* perfect translated layer

* perfect code according comment

* [XPU] add expand_grad, isnan, meshgrid kernels

* update

* got rid of save_quant_model

* review changes

* first commit

* main codes has been developed

* fix all bugs

* add vectorize input&output

* a test for optimization_of_layer_norm_fwd

* add some changes

* fix memory coalesced access for more optimization.

* fix addition ctest error

* fix according to ci-approval

* remove change on slice

* remove dygraph.profiler

* remove fluid.input.one-hot and move embedding to paddle.static.nn

* fix unitest error

* fix type error

* fix type error

* fix xpu test error

* fxi sample code error

* fxi sample code error

* fix sample code error

* remove test.py

* remove variable in docstr

* polish namespace

* change static_tensor_operants

* polish namespace

* support add, subtract, divide

* add unit test

* polish unittest

* fix cmake error

* solve conflicts, merge auto code-gen

* add scalar operator in tensor.h

* tensorbase

* static prim full support more datatype

* fix prim unittest

* polish codes

* fix cmake error

* support 'complex promote' in yaml

* change the compplex_promote

* change 'kron' in math.py

* change 'kron' comment in python

* change kron comment in python

* change kron comment in python

* [Cpp Extension] Support optional type

* fix custom_extension.cc

* tmp gather vjp

* support gather

* remove useless code

* fix compiling error

* fix ut

* add eager test

* add eager test

* add seed

* fix cpu error

* fix transpose op compat

* remove tensor index case

* fix prim_cinn

* fix ut

* add gather composite

* kunlun support c_softmax_with_cross_entropy

* fix grad calc error

* replace mutable_data() and ShareDataWith()

* update xdnn

* update xpu toolchain to 20230215

* remove fluid from test file