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    h                    @  s1  U d dl mZ d dlZd dlZd dlZd dlZd dlZd dlZd dlZd dl	Z	d dl
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d dlZd dlmZ d dlmZmZ d dlmZmZmZmZmZmZmZ d dlmZ d dlmZ d dlZd dlZd dlZd dl Zd dl!m"  m#Z$ d dl%m&Z& d d	l'm(Z( d d
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j҃Zeexj
jZeexjj҃ZeexjjZeexj eexj
dd Z
eexjd	d
 ZeeGjddhdd ZeeGjddhdddZeeGjddhdd ZeeGjddhdd ZeeGjddhd ddddZeeGjddhd ddddZdd!d"Zdd$d%Zeexjj ddhdWdWddd&dd/d0Zeexj!e1j"dhdWdWd1dd3d4Z!d5d6 Z#d7d8 Z$d9d: Z%d;d< Z&d=d> Z'd?d@ Z(dAdB Z)dCdD Z*eexj+ eexj, eexj- eexj.dWdE eexj/jdWdE eexj0 eexj1dWdE eexj2dWdE ej34 reexj5dWdE eexj6 eexj7 eexj8 eexj9j҃ eexj:j҃ eexj; eexj<j= eexj>j҃ eexj?j҃ eexj@ eexjAdWdE eexjBe# eexje) eexjCe# eexjDe$ eexjEe$ eexjFe$ eexjG eexjH eexjH eexjI eexjJ eexjK eexjLe# eexjM eexjN eexjO eexjP eexjQ eexjR eexjS eexjT eexjUe$ eexjV eexjWe# eexjX eexjY eexjYjZ eexj[ eexj\ eexj] eexj^ eexj_ eexj` eexja eexjb eexjc eexjd eexje eexjf eexjg eexjh eexji eexjj eexjk eexjl eexjm eexjn eexjo eexjp eexjq eexjr eexjs eexjtju eexjv eexjw eexjx eexjy eexjz eexj{ eexj| eexj}j҃ eexj~jdWdE eexje# eejjj eejjj eejjj eexj eexj eexje$ eexj eexj eexj eexj eexj eexjj eexjjҐe*dWdE eexjjҐe*dWdE eexjjҐe*dWdE eexjjҐe*dWdE eexjjҐe*dWdE eexjjҐe*dWdE eexjjҐe*dWdE eexjjҐe*dWdE eexjjҐe*dWdE eexjjҐe*dWdE eexjjҐe* eexjjҐe* eexjjҐe* eexjjҐe* eexj eexjddhdՐdFdGZeexjddHdIdJZdKdL ZeexdM	reexje eezjdNdO ZeexjddhddRdSZeexjddhddTdUZdVdW ZeejexjgddddWdXdYdZZeejdӐd[d\Zeejd]d^ Zeexjd_d` Zeexjdadb Zeexj	ddddcdddeZdfdg Zeexjddhdhdi Zdjdk ZeejexjgdddddddldmdnZdodp Zdqdr ZeexjeeZeedZeed Zdsdt ZeexjdddddudvdwZeexjdddddudxdyZeexjdddddudzd{Zeezjj҃d|d} Zeejexjgd~d ZeexjddhdՐddZeexjddhdddZdd Z	ydddZdd ZdddZeexjddhddQ Zeexjddhdd ZeexjddhdՐddZeexjŃdՐddZŐdd ZƐdd ZeexjddhdՐddZeeGjddhdՐddZɐdՐddZeexjjdWdZeexjjdWdZeexjddhdd Zeexjddhdd Zedd ZeexjddhdؐddZeexjddhdddZddyddddZeexjddhdddddZeexjddhdddZeexjddhdddZeexjddhdddZeexjddhdyddddZ		WddddZeexjj҃dؐdddÄZeexjj҃dؐddĐdńZeexjj҃	dӐddȐdɄZeexjj҃	dӐddʐd˄Zeexjj҃			ddd͐d΄Zeexjj҃			dddϐdЄZܐdѐd҄ Zeezjj҃dӐdԄ ZސddؐdلZeexjddhdڐdڐdۄZddߐdZdddZdddZ	d ddZddddZdd ZddddZdd Zeezjddh	WdՐddZdddZeezjddhdd Zdd Zeexjddh		 		Wdd dZeexjddh		 		WdddZeexjjdWdZeexjddhdd ZdddZd	d
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ddZDeCexjEZEeDexjFZFeCexjGZGeCexjHZHeexjIZIeDexjJZJeDexjKZKeexjLZLeexjMdydZMeDexjN eDexjO eexjPZPeexjQZQeexjRZReexjSddZSeexjTZTeexjUZUeexjVZVeCexjW eCexjXZXeexjYe1j"dheX eCexjZ eCexj[ eCexj\ eDexjq eexj]ddyejdZ]eexj^ddyejdZ^eexj_ddyejdZ_eexj`ddyejdZ`eexjaZaeexjbZbeexjcea eexjdeb eexjeZeeexjPZPeCexjfZfeexjg eexjhddZheexjσ eexjiejdy eexjjee eexjkejdy eexjlejdy eexjmejdy eexjnejdyZneexjoejdy eexjpejdy eCexjq eCexjr eCexjs eCexjt eCexju eCexjv eCexjw eCexjx eCexjy eCexjz eCexj{ eCexj| eCexj} eCexj~ eCexj eCexj ddlmZmZ dd ZeD ]@ZeexeD ]\ZZZeeeeed qeezeD ]\ZZZeeeeed qqeexjje@dydZeexjje@dydZeexjj e@dyd eexjjeZeexjj e eexjjeZeexjjeM eexjjeM eexjjҐee eexjjҐeP eexjje eexjje eexjje eexjjeZeexjj e eexjjeZeexjeK eexjeE eexjjea eexjjea eexjjeb eexjjeb eexjjea eexjjea eexjjeb eexjjeb eexjef eexjeh eexje dd Zeexjjexjje eexjjexjje eexjjexjje eexjjexjje eexjjexjje eexjjexjje dd Zeexje@ eexjeQ eexjeR eexjeS eexjeT eexjeU eexjeV eexje eexjj e eexjje eexje] eexje^ eexje_ eexje` eexjeM eexjeI eexjeJ eexjeQ eexjeR eexjeT eexjeU eexjeV eexjexj eexjexj eexjexj eexjexj eexjexj eexjdӐddZeexjjÃdd ZeexjĐjÃdd ZeexjŃdd Ze8ơ D ]\ZǐZee9eǃeȃ qeejɃdd Zeexjdd Zeejhjːj̃dd Zeejhjΐjσdd ZeejhjxjАjуdd ZeejhjӐdNrteejhjӐjj҃dd ZeejhjxjՃddHddZd dl֐mאZ ee׃ ee*dd Zeejhjِjddhdd Zeejhjِjddhdd ZeejhjِjddhdddZeej|jddhdddddZee(ddhdddZeejhjzjj҃dd Zeejhjِjddhdd ZddÐlmZ e  eeGjddhdĐdń ZddlEmZ eDe ddlEmZ e  e  ddlEmZ e  ddlEmZ e  ejddʐd˄ZdS (      )annotationsN)defaultdict)IterableSequence)AnyCallablecastOptionalTYPE_CHECKINGTypeVarUnion)	ParamSpec)patch)counters)associative_scan_op)triton_kernel_wrapper_mutation)canonicalize_dimcanonicalize_dimscheckdtype_to_typeelementwise_dtypesELEMENTWISE_TYPE_PROMOTION_KINDget_computation_dtypeis_boolean_dtypeis_float_dtypeis_integer_dtypeNumber)magic_methodsmethod_to_operator)free_unbacked_symbols)
OrderedSet)CeilDivFloorDivIdentityModularIndexing   )import_submodule   )configinductor_primsirtest_operators)decompositionsget_decompositions)	DtypeView
ExpandViewIndexingConstantIRNode	is_tritonOnlineSoftmaxReductionops_wrapperPermuteView	Pointwise	ReductionSqueezeView	TensorBoxvalidate_irView)ceildivdecode_device
is_dynamicis_gpuis_pointwise_useis_view,needs_fallback_due_to_atomic_add_limitationspad_listlike#register_op_dtype_propagation_rules#register_op_requires_libdevice_fp64sympy_productuse_scatter_fallback)opsV)ReductionType_T_Pztorchvision::roi_alignzaten::index_addz8dict[Union[Callable[..., Any], str], Callable[..., Any]]	loweringsz9dict[torch._ops.OpOverload, Optional[Callable[..., Any]]]_maybe_layout_constraintsz2dict[torch._ops.OpOverload, torch._ops.OpOverload]inplaceable_foreach_opsc                  C  s<   t jjjD ]} | jD ]}|jdkr|jtv s  dS q
qdS )NZcall_functionTF)rI   graphcurrent_nodeusersoptargetforeach_ops)nodeuser rX   ^/home/www/facesmatcher.com/frenv_anti/lib/python3.10/site-packages/torch/_inductor/lowering.pycur_node_has_non_foreach_usersx   s   
rZ   	arg_pairs%Iterable[Union[tuple[Any, Any], Any]]c                 C  s   t t}d}t| D ]A\}}t|tsd}|f}t|  ptj}d }|D ]}t|tr2|j	
 } q3q$|d us;J d|r@|\}|||f ||f q
|S )NFTz.foreach op should have at least one tensor arg)r   list	enumerate
isinstancer   r>   r(   Z#combo_kernel_foreach_dynamic_shapesr9   data
get_deviceappend)r[   outZunpack_argsiargsuse_foreachdevicetrX   rX   rY   group_foreach_args   s&   


ri   fnCallable[..., Any]returnOptional[Callable[..., Any]]c                 C  s&   t | tjjs	dS | tv rt|  S dS )zHGet layout constraints. Returns None if there are no layout constraints.N)r_   torch_ops
OpOverloadrN   rj   rX   rX   rY   maybe_layout_constraints   s
   rr   c                 C  sV   | t jjjkr	tS | t jjjkrtS | t jjjkrtS | t jjj	kr$d S t
d|  )NzUnknown layout constraint tag: )rn   Z_CTagZneeds_exact_stridesconstrain_to_fake_tensorsZneeds_contiguous_stridesrequire_contiguous_stridesZneeds_fixed_stride_orderconstrain_to_fx_stridesZflexible_layoutAssertionError)tagrX   rX   rY   tag_to_layout_constraint   s   ry   c                 C  s   | s	t d| d S )Nzinductor does not support NotImplementedError)condmsgrX   rX   rY   
assert_nyi   s   r~   c                   s\   t  ttttfrdd  D S t  t  tjj	r,t
 fdd  D  d S d S )Nc                 S  s   g | ]}t |qS rX   )add_needs_realized_inputs.0xrX   rX   rY   
<listcomp>       z-add_needs_realized_inputs.<locals>.<listcomp>c                 3  s    | ]}t  |V  qd S N)getattr)r   overloadrq   rX   rY   	<genexpr>   s    

z,add_needs_realized_inputs.<locals>.<genexpr>)r_   r]   settupler    needs_realized_inputsaddrn   ro   OpOverloadPacketupdate	overloadsrq   rX   rq   rY   r      s   
r   c                 C  s:   t | tjjr|  D ]	}|tt| |< qd S |t| < d S r   )r_   rn   ro   r   r   rN   r   )rj   
constraintr   rX   rX   rY   add_layout_constraint   s
   r   )r   r'   r%                     	   
         dtypeintc                 C  s2   t | ts| S | tv sJ d|  dt|  } | S )Nzid z missing from DTYPE_ID_LOOKUP)r_   r   DTYPE_ID_LOOKUPr   rX   rX   rY   decode_dtype   s
   
r   c                 C  sB   t | trt|  pt|  S t | tjr| jdu S t | tS )NT)	r_   r9   r   	get_dtyper   sympyExpr
is_integerr   r   rX   rX   rY   is_integer_type   s
   


r   c                 C  s    t | trt|  S t | tS r   )r_   r9   r   r   boolr   rX   rX   rY   is_boolean_type  s   

r   type_promotion_kindr   c                   s0   dd   fdd|D }t |d| i\}}|S )Nc                 S  s8   t | ttjfr
| S t|  }tjdg| |  dS )Nr'   r   )	r_   r   r   Basiclenget_sizern   zerosr   )inpdimrX   rX   rY   construct_input  s   z+get_promoted_dtype.<locals>.construct_inputc                      g | ]} |qS rX   rX   )r   argr   rX   rY   r     r   z&get_promoted_dtype.<locals>.<listcomp>r   )r   )r   re   Zinps_r   rX   r   rY   get_promoted_dtype  s   r   c                 C  sh   t | ttfs| g} nt| } t| D ]}t |tjjr1| D ]}t||}|tvr0| 	| q q| S r   )
r_   r]   r   rn   ro   r   r   r   rM   rb   )aten_fnrj   r   Zother_fnrX   rX   rY   get_overloads  s   

r   c                 C  s6   t | tjjr|| jv S t | tjjr||  v S dS NF)r_   rn   ro   r   Z_qualified_op_namerp   name)rS   	namespacerX   rX   rY   in_namespace)  s
   
r   re   	list[Any]kwargsdict[str, Any]	broadcastr   )Optional[ELEMENTWISE_TYPE_PROMOTION_KIND]convert_input_to_bool tuple[list[Any], dict[str, Any]]c                   s  dd t  D }dd  D }|s|s fS |s|ri|r$tjndd  D }|dd  D  t|d|i|rF |d  n|d   fd	d
fdd D  fdd D |rtt	t
 fdd|D fdd|D  }t	|d  }	t||d t| D ]\}
}| |
< qt||t|d  D ]\}}||< qtt D ]}
t |
 tjrt |
 |	 |
< qD ]}t| tjrt| |	|< qЈ fS )Nc                 S     g | ]\}}t |tr|qS rX   r_   r9   r   rd   r   rX   rX   rY   r   8      z"transform_args.<locals>.<listcomp>c                 S  r   rX   r   r   kvrX   rX   rY   r   9  r   c                 S  s*   g | ]}t |ttjfst|d r|qS r   )r_   r   r   r   hasattrr   arX   rX   rY   r   C  s    c                 s  s    | ]
}t |d r|V  qdS )r   N)r   r   rX   rX   rY   r   I      z!transform_args.<locals>.<genexpr>r   r   c                   s6   t | tr
t| S t | tjrtj| j dS | S )Nvaluer   rg   )r_   r9   to_dtyper*   Constantr   )r   )rg   r   rX   rY   promoteT  s
   

ztransform_args.<locals>.promotec                   r   rX   rX   r   r   rX   rY   r   \  r   c                   s   i | ]	\}}| |qS rX   rX   r   r   rX   rY   
<dictcomp>]      z"transform_args.<locals>.<dictcomp>c                 3      | ]} | V  qd S r   rX   r   rd   re   rX   rY   r   c      c                 3  r   r   rX   r   r   r   rX   rY   r   d  r   )r^   itemsrn   r   extendvaluesr   ra   broadcast_tensorsr]   	itertoolschainr   zipr   ranger_   r*   r   r/   create)re   r   r   r   r   Zargs_indicesZkwargs_indicesZpromoting_argsZbroadcastedsizerd   r   r   rX   )re   rg   r   r   r   rY   transform_args1  sZ   

r   c                   s>   t   fdd}t| }t| tt|| |S )a  
    Add a foreach lowering to lowerings dict.

    Arguments:
        aten_fn: torch.ops.aten.* fn we are lowering
        decomp_fn: alternate implementation on our IR
        broadcast: True to apply broadcasting to tensor inputs
        type_promotion_kind: kind of type promotion applied to tensor inputs, `None` means no type promotion
        convert_input_to_bool: some logical ops require inputs are converted to bool
    c                    s*   t | dksJ  | i |}t| |S )Nr%   )r   r:   )re   r   rc   	decomp_fnrX   rY   wrapped  s   z+_register_foreach_lowering.<locals>.wrapped)	functoolswrapsr   rU   r   rM   dictfromkeys)r   r   r   Zaten_fnsrX   r   rY   _register_foreach_loweringy  s   
r   c                   s<   t  fdd}t  |t | |S )a  
    Add a lowering to lowerings dict

    Arguments:
        aten_fn: torch.ops.aten.* fn we are lowering
        decomp_fn: alternate implementation on our IR
        broadcast: True to apply broadcasting to tensor inputs
        type_promotion_kind: kind of type promotion applied to tensor inputs, `None` means no type promotion
        convert_input_to_bool: some logical ops require inputs are converted to bool
    c                    s   t | } t|}d}t| dkr!t| d t tfr!d}t | d } tdd  D s9tdd | D r9J dt| |\} }|rH| g} | i |}t	| |S )	NFr'   r   Tc                 s  s"    | ]}|t v pt|d V  qdS )Z_c10d_functionalN)	fallbacksr   )r   rj   rX   rX   rY   r         
z6_register_lowering.<locals>.wrapped.<locals>.<genexpr>c                 s      | ]}|d kV  qdS )rc   NrX   r   rX   rX   rY   r     r   zout= ops aren't yet supported)
r]   r   r   r_   r   allanykeysr   r:   )re   r   unpackedrc   r   r   r   r   r   rX   rY   r     s(   
z#_register_lowering.<locals>.wrapped)r   r   r   r   r   r   )r   r   r   r   r   lowering_dictr   rX   r   rY   _register_lowering  s
   r   F.Callable[[Callable[_P, _T]], Callable[_P, _T]]c                 C  s   t jt| ||||dS )z+
    Shim to support decorator syntax.
    )r   r   r   r   )r   partialr   )r   r   r   r   r   rX   rX   rY   register_lowering  s   r   c                 C  s   g }t jt| t|tjjdD ]O\}}tjjj	j
t|dddr(|| qtjjj	j
t|dddr<|| qtjj|| tt|jtt|jk rZ|| q|| qtt|S )z
    Broadcasting logic based on symbolic shapes.

    We give the shapes 0 and 1 concrete values, while all other shapes
    are symbolic sympy formulas.
    )	fillvaluer'   TZsize_oblivious)r   zip_longestreversedr   SOnerI   rP   sizevars	shape_envevaluate_exprEqrb   guard_equalsr   expandZfree_symbolsr   )r   boutputr   yrX   rX   rY   broadcast_symbolic_shapes  s   $

 r  c              
     s,  |d u s|d u sJ d|d u r|d u rt j}tdd | D s"| S tdd | D rC|p3t| d|ifdd  fdd	| D S td
d | D }g }| D ]C}t|ttfrq|	t
tj|| | dt|  qPt|tjr|	t
t|| | dt|  qP|	| qP|S )NzEonly one of override_return_dtype or type_promotion_kind may be givenc                 s  s"    | ]}t |tjttfV  qd S r   )r_   r   r   r   floatr   rX   rX   rY   r          z$promote_constants.<locals>.<genexpr>c                 s  s"    | ]}t |tttjfV  qd S r   )r_   r   r  r   r   r   rX   rX   rY   r     r  r   c                   s4   t | tjrtj|  td dS tj|  td dS )Nindexr   rg   r   )r_   r   r   r*   r0   r=   r   r   r   rX   rY   
const_func  s
   
z%promote_constants.<locals>.const_funcc                   r   rX   rX   r   )r  rX   rY   r     r   z%promote_constants.<locals>.<listcomp>c                 s  s&    | ]}t |tttjfr|V  qd S r   )r_   r9   r/   r*   r   r   rX   rX   rY   r     s   $ r   r  )r   DEFAULTr   r   r   nextr_   r   r  rb   r/   r   r*   r   r   get_device_or_errorr]   r   r   r   r0   )inputsoverride_return_dtyper   exrc   r   rX   )r  r   rY   promote_constants  sL   

	r  c                   s"   d dd fdd}|S )Nalphar  r9   c              	     s  d urt dd D rrJ  S t
r2| d ur1| dkr1ttd | d< n| d u s8J dd D d  
pLd   dd  D ]!}t|tjstt	t	| kstJ d d	 d	|  qSt
jt
jftjd uottjd
d d uotjjjd uotjjjddo v  	fdd}sd }D ]}t| jr| } qq|sȈd  }p|}tj| |dS )Nc                 s  "    | ]}t |tot|V  qd S r   r_   r1   r2   r   r   rX   rX   rY   r   5  r   z0make_pointwise.<locals>.inner.<locals>.<genexpr>r'   c                 S     g | ]}|  qS rX   make_loaderr   rX   rX   rY   r   B  r   z1make_pointwise.<locals>.inner.<locals>.<listcomp>r   zndim mismatch  rQ   Zlow_precision_pointwise_barrierFc                   s   t  t ksJ d  d tjkr&d ur& fddD  S g }tD ]'\}}| }|  }rN|v rNtj||dd}t||}|| q,| }rhtj|dd}t|S |S )Nzwrong ndim r!  c                   s   g | ]}| qS rX   rX   )r   loadr  rX   rY   r   Z  r   zCmake_pointwise.<locals>.inner.<locals>.inner_fn.<locals>.<listcomp>F)Zuse_compute_types)r   rn   r   r^   r   rH   r   rb   )r  Zinputs_loadedZ	inp_indexr"  rc   Z	inp_dtypeZdowncast)r   emulate_precision_castsrj   r  loaders	low_pr_fpoverride_fn_when_input_boolrangesr#  rY   inner_fnW  s    $z/make_pointwise.<locals>.inner.<locals>.inner_fnrg   r   r)  r(  )r   r  r]   mulr   r   r_   r*   BaseConstantr   rn   bfloat16float16rI   rP   r   rQ   metagetr?   ra   typer6   r   )r  r  otherr)  rg   rd   allow_alpharj   override_devicer'  r  triton_fallback)r   r$  r  r%  r&  r(  rY   inner4  sb   

zmake_pointwise.<locals>.inner)r  r9   rX   )rj   r  r5  r'  r4  r6  r7  rX   r3  rY   make_pointwise,  s   Kr8  c                   s   ddd fdd}|S )Nr'   r  r  list[list[TensorBox]]c                   sT  t tjjjdkptjjjtv pt }d }|D ]}t|t	t
fr$|} q%q|d us-J dg }|D ]}t|t	t
fsE||gt |  q1|| q1tt| }d gt | }| D ]@\\}}	}
g }|
D ]-\}} rt|d| i}n| }|||< tj|tjr|	r|r|  ||  qf|rtj| q\tdd |D sJ |S )Nr   z1at least one input must be a list to a foreach opr  c                 s      | ]}|d uV  qd S r   rX   r   rX   rX   rY   r     r   z8make_foreach_pointwise.<locals>.inner.<locals>.<genexpr>)r   rI   rP   rQ   rR   rT   inplace_foreach_opsrZ   r_   r]   r   rb   ri   r   r   has_featureBackendFeatureFOREACHrealizeget_operation_nameregister_operation_listr   )r  r  Zrealize_outputsZa_list_inputinputZbroadcast_inputsgroupsoutputsrg   rf   groupoperation_list
output_indre   r	  r4  pw_fnrX   rY   r7    sZ   
z%make_foreach_pointwise.<locals>.inner)r  r9  rX   )rI  r4  r7  rX   rH  rY   make_foreach_pointwise  s   6rJ  r   r9   torch.dtypec                   s>   |    kr|rt| S | S  fdd}t| d| S )Nc                   s   t j|  dS )N)	src_dtype)rH   r   r   r   rL  rX   rY   	_to_dtype     zto_dtype.<locals>._to_dtyper  )r   cloner8  )r   r   copyrN  rX   rM  rY   r     s
   r   r   c                 O  s   ddl m} |}| j}||tjd}t| |j|  W d   n1 s'w   Y  |j}|s3J t|}dgt	| }	|
 D ]0\\}
}}g }|D ]\}}||	|< tj|
tjri|ri|  ||  qL|rrtj| qBtdd |	D s~J |	S )aI  
    This lowers an invocation of foreach_map
    The way this works is that an arbitrary N-arg func is provided by the user, looped over by the
    polyfill with the same semantics as a foreach op (a loop applying an n-ary function to n args)
    and then traced into a subgraph by dynamo.
    This code allows us to inline the subgraph into the main graph lowering using the PontwiseSubgraphLowering.
    The graph outputs represent the vertically fused sequence of ops, and then register_operation_list
    below registers the buffers as horizontally fuseable in the scheduler.
    r'   )PointwiseSubgraphLowering)Zroot_graph_loweringNc                 s  r:  r   rX   r   rX   rX   rY   r     r   z_foreach_map.<locals>.<genexpr>)subgraph_loweringrT  graph_modulerI   rP   Zset_graph_handlerrunZgraph_outputsri   r   r   r<  r=  r>  r?  rb   r@  rA  r   )Zsubgraphre   r   rT  r  ZgmZpw_subgraphZsub_outputsrC  rD  rg   rf   rE  rF  rG  r	  rX   rX   rY   _foreach_map  s6   rX  c                 C  sZ   |j s|  j r&|  rt| |d}tj||  |S ttj	j
dd| |S t| |ddS )Nr   Fadd_to_fallback_setTrR  )
is_complexr   r   
empty_liker*   ZInplaceCopyFallbackr   fallback_handlerprimsconvert_element_typedefaultr   )r   r   dstrX   rX   rY   _convert_element_type  s   rc  r[  c                C  sb   |   }||kr|rt| S | S dd }||}||}||kr)ttjj| |S tt| |S )Nc                 S  s   | j r	t| jS t| jS r   )is_floating_pointrn   Zfinfobitsiinfor   rX   rX   rY   _get_primitive_bitwidth	  s   z1to_dtype_bitcast.<locals>._get_primitive_bitwidth)	r   rQ  r^  atenviewr   r9   r.   r   )r   r   rR  Zx_dtyperg  Zsrc_bitsZdst_bitsrX   rX   rY   to_dtype_bitcast  s   rj  c                 C  s8   |j s|  j rttjtjjj	j
| |S t| |S r   )r\  r   r9   r   r*   ZComplexViewrn   rH   rh  ri  r   rj  r   r   rX   rX   rY   _view_dtype  s
   
rl  rR  non_blockingrg   torch.devicec                C  s:   t |}|  |kr|rt| S | S ttj| ||S r   )r=   ra   rQ  r9   r   r*   Z
DeviceCopy)r   rg   rR  rn  rX   rX   rY   	to_device!  s   rp  c                 C  s   t | |d|dS )NTrm  )rp  )r   rg   rn  rX   rX   rY   _device_put(     rq  Tc	           
      C  sz   |p| j }t|}	t||| |durt|}t|	||||d}	t| |||d|	}	tt|r;ttt|d|d|	 |	S )z3A pointwise function that maps ops.{name} to inputsN)r  r'  r4  r6  )r   r   r   )r   r   )__name__r4   rD   r8  r   r   r_  r   )
r   r   r   r   r   r  r'  r4  r6  rj   rX   rX   rY   register_pointwise-  s>   

rt  c                    sx   d} t d  fdd} fdd}t|t|tjdgfdd}ttj|}tt| r:tt	t| d	d
| |S )z2A pointwise function that maps ops.frexp to inputsfrexpc                        | i |d S Nr   rX   re   r   ru  rX   rY   frexp0_     zregister_frexp.<locals>.frexp0c                    rv  Nr'   rX   rx  ry  rX   rY   frexp1b  r{  zregister_frexp.<locals>.frexp1rP  c                    s$    d | i | d | i |fS Nr   r'   rX   rx  )pw_fnsrX   rY   rj   j  s   $zregister_frexp.<locals>.fnNrS  )
r4   r8  rn   int32r   rh  ru  r   r_  r   )r   rz  r}  rj   rX   )ru  r  rY   register_frexpZ  s*   
r  c                 C  s   t ||d}t| |}|S )Nr4  )rJ  r   )r   Zpointwise_lowering_fnr4  rj   rX   rX   rY   register_foreach_pointwise|  s   
r  )r   r   c                   s  dd }t |ttfrt||}t |ttfrt||}| ||g t d  d tjd}dd t D }t|t	 fdd|D  D ]\}}| |< qFt
t D ]}t  | tjrqt | t |d	    |< qUt||d
 d	 t d |t d |S )Nc                  W  
   t j|  S r   )rH   wherer   rX   rX   rY   rj        
zwhere.<locals>.fnr'   r%   rS  c                 S  r   rX   r   r   rX   rX   rY   r     r   zwhere.<locals>.<listcomp>c                      g | ]} | qS rX   rX   r   r   rX   rY   r     r   r   rP  )r_   r  r   constant_liker   r   r  r^   r   r   r   r   r*   r   r/   r   r]   r   r8  r   )r|   r   r  rj   r   indicesrd   r   rX   r   rY   r    s&   
$
$
r  c                  G  s   t | dkrt| d ttfrt| d  S ttdd | D g }g }| D ]$}| }t |t |ks?t	dd t
||D rDt||}|| q%|S )Nr'   r   c                 S  r  rX   )r   r   rX   rX   rY   r     r   z%broadcast_tensors.<locals>.<listcomp>c                 s  s    | ]?\}}t jjjjt|d ddo"t jjjjt|d dd p?t jjjjt|d dd o?t jjjjt|d ddV  qdS )r'   Tr   N)rI   rP   r  r  r  r   r  r   r   r  rX   rX   rY   r     s"    


	

z$broadcast_tensors.<locals>.<genexpr>)r   r_   r]   r   r   r   reducer  r   r   r   r  rb   )r  rT   rD  r   sizesrX   rX   rY   r     s   
r   c                 C  s   | S r   rX   r   rX   rX   rY   nop     r  
lift_freshc                 C  s   t | tsJ |d u rtt| jS t |ttjfr"tj	j
|ntdd |D }tt|  |}tt |ts=|fn|}g }t|  D ]\}}||v r]tj	j
jt|dddsb|| qH||  krnt| |S | S )Nc                 s  s    | ]
}t jj|V  qd S r   rI   rP   r  evaluate_static_shaper   drX   rX   rY   r     r   zsqueeze.<locals>.<genexpr>r'   Tr   )r_   r9   r8   r   r`   r   r   r   rI   rP   r  r  r   r   r   r   r    r^   r  r  rb   ri  )r   r   dims	new_shaper  srX   rX   rY   squeeze  s$   
r  c                 C  s   t t| |S r   )rQ  r  )r   r   rX   rX   rY   squeeze_copy     r  c                 C  2   t | |}t| tsJ t|tsJ |j| _| S r   )r  r_   r9   r`   r   r   valrX   rX   rY   squeeze_  
   
r  c                 C  2   t | rt| dtjdS td}t|tjd| S )NFr   isinfrP  r   	full_likern   r   r4   r8  r   rj   rX   rX   rY   r       r  c                 C  r  )NFr   isnanrP  r  r  rX   rX   rY   r    r  r  c                 C  $   t | rt| S td}t|| S )Nceilr   rQ  r4   r8  r  rX   rX   rY   r       r  c                 C  r  )Nfloorr  r  rX   rX   rY   r    r  r  c                 C  r  )Nroundr  r  rX   rX   rY   r    s   r  c                 C  r  )Ntruncr  r  rX   rX   rY   r    r  r  c                 C  s   t | g\} t| tjrt| t|S t| tsJ t|ttfs$J t| 	 t|kr0| S t
| 	 sWtjjt| 	 }|dkrWt
|sW| tjjt||  tt| jt|S rw  )r  r_   r*   r,  r/   r   r   r9   r]   r   r   rI   rP   r  size_hint_or_throwrF   
mark_reuser`   )r   r  Zx_size_productrX   rX   rY   r  %  s$   
r  c                 C  sL   t |}|D ]}d||< q| }t|D ]\}}|dkr t||}qt||S Nr  )r]   r^   	unsqueezer  )r   shapeZbroadcast_dimensionsr  Zbroadcast_dimensionr   idxr   rX   rX   rY   broadcast_in_dim@  s   


r  c                 C  s   t | | S r   )r  r   )r   r
  rX   rX   rY   	expand_asN  r  r  c                   sb  t |   tt kr$tjjgtt      t| t  } tt|  ks0J t |  }d}ttD ]}| dkrHd}|| |  ||< q>|r`t|| 	 | 
 dS tdd t D rstt| |S  fdd}t st|stjjt }|dkr| tjjt||  |  tj| 
 | 	 |t |d	S )
NFr   Tr   rg   c                 s  s$    | ]\}}|d kp|d kV  qdS r'   NrX   r  rX   rX   rY   r   e     " zrepeat.<locals>.<genexpr>c                   st   t | t ks
J t| } tt D ]!}| dkr5 | dkr)tjj| |< qt| | d | | |< q| S r|  )r   r]   r   r   r   ZZeror$   )r  rd   Zold_sizerepeatsx_loaderrX   rY   r)  j  s   zrepeat.<locals>.inner_fnr*  )r]   r   r   r   r   r  ri  r   emptyr   ra   r   r   rQ  r  r   rI   rP   r  r  rF   r  r   r6   r   )r   r  new_sizeZzero_tensorrd   r)  Zold_size_productrX   r  rY   repeatS  s>   r  c                 C  s2   t | tsJ t |ttfsJ tt| j|S r   )r_   r9   r]   r   r;   r   r`   )r   r  rX   rX   rY   ri    s   ri  c                 C  s6   t | tsJ t |ttfsJ tt| jt|S r   )r_   r9   r]   r   r5   r   r`   )r   r  rX   rX   rY   permute  s   r              c              	   C  s8   t | tsJ t| |d}ttjj| j|||||dS )Nr   clamp)r_   r9   _validate_dimr*   	SliceViewr   r`   )r   r   startendstepr  rX   rX   rY   slice_  s   r  c              	   C  s   t | trt | jtjr| j } |   t| s"td|  dt	| \}}t
|j|jdd |D dd |D t|p@d}ttj||dS )Nzunrealized as_strided(z, ...)c                 S     g | ]}t |qS rX   r   r  r   r  rX   rX   rY   r         zas_strided.<locals>.<listcomp>c                 S  r  rX   r  r  rX   rX   rY   r     r  r   r`   layout)r_   r9   r`   r*   BaseViewunwrap_viewr?  is_storage_and_layoutr{   as_storage_and_layoutFixedLayoutrg   r   r   r  ReinterpretView)r   r   stridestorage_offsetstorageZ
old_layoutZ
new_layoutrX   rX   rY   
as_strided  s   

r  c                 C  s$   t | tsJ t| |||j| _| S r   )r_   r9   r  r`   )r   r   r  r  rX   rX   rY   as_strided_  s   r  c                 C  s   t | |||}t|S r   )r  rQ  )r   r   r  r  resultrX   rX   rY   as_strided_copy  s   r  c                   s   g d}D ]} |||    f d d }qdd D  fdd}td  }d d | < tjd  d  ||dS )Nr   r  c                 S  r  rX   r  r  rX   rX   rY   r     r   z!pointwise_cat.<locals>.<listcomp>c           
   	     s@  t |  tj}g }g }ttD ]n  dkr t dtjn
t   d tj}t   d tj}t ||}t ||} dkrI|}n td krT|}nt 	||}|
| t| t   d  < |
t | fddd q|d }	ttd ddD ] t |  |  |	}	q|	S )Nr   r'   c                     s     S r   rX   rX   )rd   idx_loadinputs_loadersrX   rY   <lambda>      z1pointwise_cat.<locals>.inner_fn.<locals>.<lambda>        r  r%   )rH   
index_exprrn   int64r   r   constantgeltand_rb   r]   r#   maskedr  )
r  idx_dimZmasksZmasked_loadsr  r  Z
start_condZend_condmaskZnext_valr   r  r  Zinputs_ranges)rd   r  rY   r)    sD   
zpointwise_cat.<locals>.inner_fnr*  )rb   r   r]   r6   r   ra   r   )r  r   Zprev_endr   r)  r  rX   r  rY   pointwise_cat  s   0

r  rB  scaleszero_pointsaxis	quant_min	quant_maxc              	     s   t  dksJ dt  dksJ d|  tjkr%t| tj} |  tjks5J d|    t |  k sHJ dt |   |     f	dd}tj	| 
 ||  dS )	Nr'   expect scales 1 dimexpect zero_points 1 dim<Expecting input to have dtype torch.float32, but got dtype: Expecting axis to be < c           
        s   |   f}| }|}|}t tjd\}}jtjkr(t|tj}jtjkr5t|tj}t|}t|| | }t	|t
||}	t|	S Nr   )_create_constantsrn   float32r   rH   r   r  
reciprocalr  maximumminimum)
r  channel_idxrB  scale
zero_pointqminqmax	inv_scaler  clamped	r  r   input_loaderr  r  r  scales_loaderr  zero_points_loaderrX   rY   r)    s   

z;quantized_decomposed_quantize_per_channel.<locals>.inner_fnr*  )r   r   r   rn   r-  r   r  r   r6   r   ra   )rB  r  r  r  r  r  r   r)  rX   r  rY   )quantized_decomposed_quantize_per_channel  s(   
r  	out_dtyper  Optional[torch.dtype]c          	        s   t  dksJ dt  dksJ d|  |ks*J d| d|    t |  k s=J dt |   d u rDtj|     fdd}tj|  ||  d	S )
Nr'   r  r  Expecting input to have dtype , but got dtype: r  c                   s   |   f}| }|}|}j tjkrt|tj}j tjkr+t|tj}tt|tj|| }t|}|S r   )r   rn   r  rH   r   sub)r  r  rB  r  r  r  r  r  r  r  r  r  r  rX   rY   r)  U  s   
z=quantized_decomposed_dequantize_per_channel.<locals>.inner_fnr*  	r   r   r   rn   r  r   r6   r   ra   )	rB  r  r  r  r  r  r   r  r)  rX   r  rY   +quantized_decomposed_dequantize_per_channel7  s(   r  r  r  r  c                   s   |   tjkrt| tj} |   tjksJ d|    |   fdd}tj|   t	j
|t|t|d|  dS )Nr  c           	        sf   | }t d| |tjd\}}t|| | }t tjd\}}tt|||}t| S )N      ?r   )r  rn   r  rH   r  r  r  r   )	r  r  r  rB  r  r  r  r  r   r   r  r  r  rX   rY   r)    s   
zBquantized_decomposed_quantize_per_tensor_default.<locals>.inner_fnr  r  r*  )r   rn   r-  r   r  r   r6   r   ra   r   r   r  r   r   rB  r  r  r  r  r   r)  rX   r  rY   0quantized_decomposed_quantize_per_tensor_defaultl  s   
r  c                  sv   |   |ksJ d| d|    d u rtj|    fdd}tj|  tj|t	|t
|d|  dS )Nr	  r
  c                   sF    | }t ||tjd\}}tt|tj|| }t|}|S r  )r  rn   r  rH   r  r   )r  r  r  rB  r  r  r  rX   rY   r)    s
   zDquantized_decomposed_dequantize_per_tensor_default.<locals>.inner_fnr  r*  )r   rn   r  r   r6   r   ra   r   r   r  r   r   rB  r  r  r  r  r   r  r)  rX   r  rY   2quantized_decomposed_dequantize_per_tensor_default  s   r  c                   s   |   tjkrt| tj} |   tjksJ d|    t dks9t dkr5 d dks9J dt dksUt dkrQ d dksUJ d|     fdd}tj	| 
  ||  dS )	Nr  r   r'   expect scale as scalar tensor"expect zero_point as scalar tensorc                   s   | }t  dkrdnd}t  dkrdnd}jtjkr-t|tj}jtjkr:t|tj}t|t| | }t	tjd\}}t
t|||}t| S )Nr'   r   rX   r   )r   r   r   rn   r  rH   r   r  r  r  r  r  )r  rB  _scale_zero_pointr  r  r  r   r   r  r  r  r  scale_loaderr  zero_point_loaderrX   rY   r)    s   zAquantized_decomposed_quantize_per_tensor_tensor.<locals>.inner_fnr*  )r   rn   r-  r   r  r   r   r   r6   r   ra   r  rX   r  rY   /quantized_decomposed_quantize_per_tensor_tensor  s:   r  c                  s   t  dkst  dkr d dksJ dt  dks8t  dkr4 d dks8J d|  |ksJJ d| d|   d u rQtj|      fdd}tj|  ||  d	S )
Nr   r'   r  r  r	  r
  c                   s    | }t  dkrdnd}t  dkrdnd}jtjkr-t|tj}jtjkr:t|tj}tt|tj|| }t|}|S )Nr'   r  rX   )r   r   r   rn   r  rH   r   r  )r  rB  r  r  r  r  r  r  r  r  r  rX   rY   r)    s   zCquantized_decomposed_dequantize_per_tensor_tensor.<locals>.inner_fnr*  r  r  rX   r   rY   1quantized_decomposed_dequantize_per_tensor_tensor  s:   r!  c           
        s  | d   jdk}|r:tdd | D r:| D ]}|  qtdd | D r1ttjg| R  \} }ttjj| |S t	| dkrFt
| d S t| d |d}t| dtjifdd	| D } d%dddd fddtfdd| D }d&fddtjrt| |S |rttj| |S fddd}d d'ddt	| |kst	| tjkrt fd d| D rtfd!dtjjD }tfd"d| D o|}tfd#d| D otfd$d| D  }	|s|	r|st| |S ttj| |S )(Nr   cpuc                 s  s$    | ]}|  tjtjfv V  qd S r   )r   rn   int8uint8r   rB  rX   rX   rY   r     s    
zcat.<locals>.<genexpr>c                 s  s     | ]}t | d kV  qdS )r   N)r   r   r%  rX   rX   rY   r   &      r'   r   c                   s   g | ]}t | qS rX   r   r  r   rX   rY   r   1  r  zcat.<locals>.<listcomp>r   Union[TensorBox, ir.StorageBox]rl   	ir.IRNodec                 S  s>   t | trt | jtjr| j S | jS t | tjr| jS | S r   )r_   r9   r`   r*   r  r  
StorageBoxr   rX   rX   rY   unwrap_tensor3  s   

zcat.<locals>.unwrap_tensorc                 S  s   t | tjot | jtjS r   )r_   r*   ComputedBufferr`   r7   rh   rX   rX   rY   is_reduction?     zcat.<locals>.is_reductionc                   sJ   t | ttjfr | S | p$t | tjo$t fdd|  D S )Nc                 3  s     | ]} t j|V  qd S r   )rI   rP   
get_buffer)r   readcan_fuse_reductionrX   rY   r   H  s
    
z2cat.<locals>.can_fuse_reduction.<locals>.<genexpr>)r_   r9   r*   r*  r6   r   get_read_namesr-  )r3  r.  r+  rX   rY   r3  B  s   zcat.<locals>.can_fuse_reductionc                 3      | ]} |V  qd S r   rX   r   rh   r2  rX   rY   r   O  r   r   c                   sZ   t | rt j| dd\}}t j| S t| tt jfr# | S t| t jr+dS dS )NF)freezeT)	r*   r  r  ConcatKernelZcan_realize_into_without_copyr_   r9   r*  r6   )r   r  r   )should_lower_cat_inputr+  rX   rY   r9  Q  s   
z#cat.<locals>.should_lower_cat_inputc                   s\   t | ttjfr | S t | tjsdS |  j}|  D ]}| tj	
|7 }q|S rw  )r_   r9   r*   r*  r6   Zinner_fn_opcountZnum_opsr4  rI   rP   r0  )r   countr1  )op_countr+  rX   rY   r;  h  s   
zcat.<locals>.op_countr   r%   rS   torch._ops.OpOverloadc                 S  s   | t jjt jjfv S r   )rh  catra  constant_pad_ndrS   rX   rX   rY   additional_pointwise_ops}     z%cat.<locals>.additional_pointwise_opsc                 3  s    | ]	}| kV  qd S r   rX   r6  )MAX_SIMPLE_OP_COUNTr;  rX   rY   r         c                 3  s    | ]}t | V  qd S r   )r@   )r   Zuse)r@  rX   rY   r     s
    
c                 3  r5  r   rX   r  r9  rX   rY   r     r   c                 3  r5  r   rX   r  rD  rX   rY   r         
c                 3  r5  r   rX   r6  r2  rX   rY   r     r   )r   r(  rl   r)  )rl   r   rS   r<  )ra   r1  r   r?  require_channels_lastrh  r=  r^  ra  r   rQ  r  r   r   r  r   r(   Zforce_pointwise_catr  r9   r*   r8  r   Zmax_pointwise_cat_inputsrI   rQ   rR   )
r  r   Z
cpu_devicerB  r   Zfusable_reductionZMAX_COMPLEX_POINTWISE_CATZpointwise_usesZfuse_pointwise_useZhorizontal_fuse_catrX   )rB  r@  r3  r   r.  r;  r9  r+  rY   r=    sb   




r=  offsetdim1dim2c                   s  |   ttdtdtkfdd tjjt	|d}|rBtjj
tjj |  d}ntjj
tjj  | d}d |r`| df nd|f fddtD }||  fdd	}ttj| ||S )
N)r  rankc                     s   d  d S )Nz(diagonal dimensions cannot be identical z, rX   rX   rI  rJ  rX   rY   r        zdiagonal.<locals>.<lambda>r   )r   r   c                   s    g | ]\}}| fvr|qS rX   rX   )r   rd   r  rL  rX   rY   r          zdiagonal.<locals>.<listcomp>c                   s   | d }dgt  }d}tD ]&}|kr | d  ||< q|kr-| d  ||< q| | ||< |d7 }q|t d ksBJ |S )Nr  r   r'   r%   )r   r   )r  Zdiag_idxZoriginal_idxZcur_dimr  Zbase_idxrI  rJ  Znum_dimsZoriginal_shaperX   rY   	reindexer  s   
zdiagonal.<locals>.reindexer)r   r   r   r   rI   rP   r  r  r   LtZevaluate_maxZevaluate_minr^   rb   r9   r*   GenericViewr   )rB  rH  rI  rJ  Zoffset_negativeZ	diag_sizer  rP  rX   rO  rY   diagonal  s:   
rS  c                 C  s   t t| |||S r   )rQ  rS  )rB  rH  rI  rJ  rX   rX   rY   diagonal_copy     rT  c                 C  $   t | }t||||}t|| |S r   )rQ  rS  	mutate_to)rB  srcrH  rI  rJ  r	  rT   rX   rX   rY   diagonal_scatter     
rY  c                 C  s,   t ||  | }tt| |||d |S r|  )r;   Zhandle_negative_indexr   r  r  )r   r   r  rX   rX   rY   select  s   r[  c           
   
   C  s   t | |d}|}t|ttfs2|  | }tjjt	|| d |}|g| }||d |  |d< g }d}|D ]}|| }	|
t| |||	dd |	}q8|S )Nr   r'   r  Fr  )r  r_   r]   r   r   rI   rP   r  r  r"   rb   r  )
r   r  r   Zsizes_x_sizechunksr  r  r   r  rX   rX   rY   split  s    
r^  c                 C  s   t | ||S r   )r^  )r   r  r   rX   rX   rY   split_with_sizes      r_  c                   s>   t  d tjj   } fddt|D }|S )Nr   c                   s   g | ]}t  |qS rX   )r[  r   r   r   rX   rY   r   	      zunbind.<locals>.<listcomp>)r  rI   rP   r  r  r   r   )r   r   r\  r  rX   ra  rY   unbind  s   rc  c                   s   |   }t|}t|| |dkrtt| d|dS |  }tjj}||| |	d t
|| d }||dkrK| |t|| | g |d   || d d  |}	 fdd}
ttj| |	|
S )Nr   )r  r'   c                   s:   | d |     }g | d   ||  d d R S )Nr  r'   rX   )r  Zdim_idxr   r  rX   rY   rP  #  s   &zunfold.<locals>.reindexer)r   r   r   r  r  rI   rP   r  	guard_leqguard_ltr"   r  r  r!   r9   r*   rR  r   )r   	dimensionr   r  r  ndimdim_sizer  Znew_dim_sizeout_sizerP  rX   rd  rY   unfold  s"   
(rk  c                 C  s2   t | |d}t|  }||tjj t| |S r|  )r  r]   r   insertr   r   r  ri  )r   r   r  rX   rX   rY   r  *  s   
r  c                 C  r  r   )r  r_   r9   r`   r  rX   rX   rY   
unsqueeze_2  r  rm  c                 C  sZ   t jjjt|}t|  }|dk r||| 7 }d|  kr(|| k s+J  J |S rw  )	rI   rP   r  r  r  r   sympifyr   r   )r   r   rH  rh  rX   rX   rY   r  ;  s    r  r  c                 C  sT   t | |d}tjj|  | d }t| |d|}t| |||d }t|t|S )Nr   r%   )	r  rI   rP   r  r  r   r  r+  sigmoid)r   r   Znew_lenr   r  rX   rX   rY   gluD  s
   rp  c                   s$   |rt    fdd}d|_|S )Nc                    s*   dd }t |tjj g| R i |S )Nc                 S  s   t | tjrt| S | S r   )r_   r*   r1   r9   r   r   rX   rX   rY   wrap_tensorsS  r/  z7fallback_handler.<locals>.handler.<locals>.wrap_tensors)pytreetree_mapr*   FallbackKernelr   )re   r   rq  kernelrX   rY   handlerR  s   z!fallback_handler.<locals>.handlerT)r   r   Z_is_fallback_handler)rv  rZ  rw  rX   ru  rY   r^  N  s
   
	r^  c                   C     t d d S )NzjTorchinductor does not support code generation for complex operators. Performance may be worse than eager.)warningswarnrX   rX   rX   rY   _warn_complex_not_supported`  s   r{  rh   torch.Tensorc                 C  s   |   r	t  dS | jrdS | jtjkr?|sdS t|jtjj	r1|jt
jjt
jjt
jjt
jjfv p=t|jtjj	o=t|j S dS )z0Do not support reading or writing to this tensorTF)r\  r{  is_metar   rn   Zfloat8_e8m0fnur_   rT   ro   rp   rh  ri  r=  ra  rQ  Z
_scaled_mmrA   )rh   rV   rX   rX   rY   unsupported_input_tensori  s(   r~  c                 C  sL   t jjtjjjjf}|dur|j|v r| 	 rdS t
| |r dS | jo%tjS )z2Do not support writing tensor but can read from itNFT)rh  ri  r   rn   rH   r_  r`  ra  rT   r\  r~  Zis_cpur(   Zdisable_cpp_codegen)rh   rV   Zsupported_complex_viewsrX   rX   rY   unsupported_output_tensor  s   

r  rV   torch.fx.Nodec                   sv    j tjju r	dS  jdkrdS  j tjju rdS  fdd}tj ji  j	D ]}||ddr4 dS q)| ddS )NFplaceholderc                   sp   t | tjjs	dS d| jvrdS t| jd D ]}t |tjjs"q|r-t	| r, dS qt
| r5 dS qdS )NFr  T)r_   rn   fxNoder/  rr  tree_leavesZ_subclassesZ
FakeTensorr  r~  )Zinp_out_node	is_outputr/  rV   rX   rY   check_skip_condition  s   


zCfallback_node_due_to_unsupported_type.<locals>.check_skip_condition)r  T)
rT   rh  view_as_complexra  rS   lift_fresh_copyrr  Zarg_tree_leavesre   r   )rV   Zallow_cpu_inputsr  r   rX   r  rY   %fallback_node_due_to_unsupported_type  s   
r  c                   s   | t vs|sJ d|  |r>ttdr>t| gr>tjr%| tjj	j
v s>|s>tjjjr6dtjj_td td|  d fdd}t| tjjr]|  D ]}t| |}|| qOd S t| tjjtjjfrn||  d S td	|  d
t|  )Nz*both a fallback and a decomp for same op: CIFznA make_fallback error occurred in suppress_errors config, and suppress_errors is being disabled to surface it.zmake_fallback(a.  ): a decomposition exists, we should switch to it. To fix this error, either add a decomposition to core_aten_decompositions (preferred) or inductor_decompositions, and delete the corresponding `make_fallback` line. Get help from the inductor team if unsure, don't pick arbitrarily to unblock yourself.c                   s.   t |   d urt|   t| d dt| S NrS  )r   r   r   r^  )op_overloadlayout_constraintrX   rY   register_fallback  s   

z(make_fallback.<locals>.register_fallbackzUnsupported fallback z with type )r,   r   osgetenvr-   r(   fallback_randomrn   _decompZdecompositions_for_rngZextra_random_decompsZ_dynamoZsuppress_errorslogwarningrw   r_   ro   r   r   r   rp   ZHigherOrderOperatorRuntimeErrorr1  )rS   r  rz  Zoverride_decompr  olr  rX   r  rY   make_fallback  s@   	




r  c                 C  s$   d}| D ]}|| }qt |tjdS )z
    TorchInductor offset calculation differs from PyTorch eager offset
    calculation for random ops (tl.rand vs torch.rand). In future, we should
    strive for same impl for tl.rand and torch.rand.
    r'   r   tensorrn   r  )r  Znumelr  rX   rX   rY   philox_rand_offset  s   
r  c           	        sd   t | | t j|  | |  fdd}tj| |t| d}t	| }||fS )Nc                   sV   t g tj}t g tj}t t | tj|}t ||}t | S r   )rH   r   rn   r  r   r  rand)r  Zseed_index_exprZoffset_index_exprZrand_index_exprr  r   Zoffset_loader
random_posseed_loaderrX   rY   r)    s   zphilox_rand.<locals>.inner_fnr*  )
r*   r  FlexibleLayoutcontiguous_stridesmake_indexerr   r6   r   r]   r  )	r   seedrH  r  rg   r   r)  Zrandom_values_nodeZoffset_noderX   r  rY   philox_rand  s&   
r  c              	   C  s.   t jrttjtjtj	j
| ||S td)Nz&should be handled in replace_random.py)r(   r  rr  rs  r9   r   r*   rt  rh  native_dropoutra  rw   )r   ptrainrX   rX   rY   r  "  s   r  c                 G  sj   t js|  tdksJ d|   t|dks!t|d tr%t	j
jnt	j
j}tj|| g|R   | S )Nr"  Tthis should be handled in decomps unless config.fallback_random or the device is CPUr   )r(   r  ra   rn   rg   r?  r   r_   r  rh  
bernoulli_Tensorr*   ZInplaceBernoulliFallback)r   re   r  rX   rX   rY   r  -  s   

r  c                 G  s4   t js|  tdksJ dtt| g|R  S )Nr"  r  )r(   r  ra   rn   rg   r  rQ  )r   re   rX   rX   rY   bernoulli_p<  s   r  c                 C  s   t r   rw   r   rX   rX   rY   _foobarE  r  r  c                 C  rx  )Nz1using triton random, expect difference from eager)r  info)saltrX   rX   rY   _warn_triton_randomJ  r  r  c                   C  s   t tjj d S r   )r  rI   rP   Zcreation_timerX   rX   rX   rY   warn_triton_randomO  rr  r  c                  O  F   | dd d urt| i |S tjr|dd  t| i |S tdN	generatorz-should have been handled in replace_random.py)r0  fallback_rand_generatorr(   r  popfallback_rand_defaultrw   rx  rX   rX   rY   r  [     r  c                  O  r  r  )r0  fallback_randn_generatorr(   r  r  fallback_randn_defaultrw   rx  rX   rX   rY   randne  r  r  c                 C  s   t |}t j| |S r   )r*   get_stride_orderExternKernelrequire_stride_order)Zinput_tensorr  stride_orderrX   rX   rY   inductor_force_stride_ordero  s   
r  c                 C     t d)Nz.should be handled in fuse_seed_creation_pass()r  )rg   rX   rX   rY   inductor_seedu     r  c                 C  s   t   tt| t|S r   )r  r9   r   r*   ZRandomSeedsr=   )r:  rg   rX   rX   rY   inductor_seedsz  s   r  c                   s(    fdd}t j  |g dS )Nc                   s   t   S r   )rH   Z	load_seedget_namer  r  seedsrX   rY   r)    rO  z&inductor_lookup_seed.<locals>.inner_fnr*  )r6   r   ra   r   )r  r  r)  rX   r  rY   inductor_lookup_seed  s   r  rH  r   	list[int]r  modestrc                  s   t jrJ  dv sJ g | } tj}| }tj||| tj| |d	 |
  fdd}tj|||g | d}|  |S )N)r  r  r  c                   s"   t t g t| tjS r   )r   rH   r  rn   r  r#  r  r  r  rX   rY   r)    s   z!inductor_random.<locals>.inner_fnr*  )r(   r  rn   r  r  r*   r  r  r  r  r   r6   r   r?  )r   r  r  rH  r   rg   r)  r  rX   r  rY   inductor_random  s(   
r  lowhighc                  sp   t jrJ g |}tj}| }tj|||tj||d	 |
  fdd}tj|||g |dS )Nr  c              	     s6   t g t | tjt tjt  tjS r   )rH   Z	randint64r  rn   r  r  r#  r  r  r  r  rX   rY   r)    s   z"inductor_randint.<locals>.inner_fnr*  )r(   r  rn   r  r  r*   r  r  r  r  r   r6   r   )r  r  r   r  rH  r   rg   r)  rX   r  rY   inductor_randint  s"   
r  tb.tuple[str, sympy.Expr, sympy.Expr, sympy.Expr]c                 C  s4   |   |  d |  d |  d  |  d fS Nr  r   )r  r   
get_strider  rX   rX   rY   _boundaries_helper  s
   

r  tuple[str, sympy.Expr]c                 C  s   |   |  d fS r  )r  r  r  rX   rX   rY   _sorter_helper  rA  r  	out_int32rightsidesortersorted_sequenceselfr  r  r  Optional[str]r  Optional[TensorBox]c          
        s   dd }|r||rd ur$|s$t tjjdd|||dS |d ur.|dkr.d|r3tjntj |   d urF  t	
 dkrY fd	d
}n
 fdd
}| }tj| ||jd}	|	  |	S )Nc                 S  s   t j| tjS r   )rI   rP   r<  r=  	BUCKETIZEr  rX   rX   rY   r    s    zsearchsorted.<locals>.<lambda>FrY  r  r  Tr'   c              	     sD   | }t j|td d u rd ntd u rd dS ddS )Nr   r  Zsorter_indicesrH   	bucketizer  r  )r  r  index_dtyper  r  r  Zvalues_loaderrX   rY   r)  	  s   
zsearchsorted.<locals>.inner_fnc              	     s\    }d fdd}t j|t|d u rd ntd u r(d dS |dS )Nr  r9   c                   s>   |   }tttjdd t|d d  d d D S )Nc                 s  s    | ]	\}}|| V  qd S r   rX   )r   r  rd   rX   rX   rY   r   	  rC  zNsearchsorted.<locals>.inner_fn.<locals>.get_flattened_index.<locals>.<genexpr>r  )r  rH   r  r   r  operatorr   r   )r  strides)r  r  rX   rY   get_flattened_index	  s   &z;searchsorted.<locals>.inner_fn.<locals>.get_flattened_indexr  )r  r9   r  )r  r  r  r  r  rY   r)  	  s   	
r*  )r^  rh  searchsortedr  rn   r  r  r   r?  r   r   ra   r6   r   r  )
r  r  r  r  r  r  Zvalidate_bucketizer)  rg   r  rX   r  rY   r    sH   
r  r  r  
boundariesc                  s   t   dks
J tj| tjrtj tjs(ttj	j
dd|  |dS    |  }|  |r9tjntj fdd}tj|||  d}|  |S )Nr'   FrY  r  c                   s"   | }t |t d}|S rw  )rH   r  r  )r  r  r  r  r  r  r  rX   rY   r)  S	  s   zbucketize.<locals>.inner_fnr*  )r   r   rI   rP   r<  r=  r  r^  rh  r  r  r?  ra   r   rn   r  r  r6   r   )rB  r  r  r  rg   r)  r  rX   r  rY   r  5	  s*   
r  c                 O  $   t tjtjj||f\}}||fS r   )rr  tree_map_onlyr*   r1   r  Zrequire_stride1r   re   r   rX   rX   rY   require_denser	     r  c                 O  r  r   )rr  r  r*   r1   r  require_contiguousr  rX   rX   rY   r  y	  r  r  c                 O  r  r   )rr  r  r*   r1   r  ru   r  rX   rX   rY   ru   	  s   ru   c                 O  r  r   )rr  r  r*   r1   r  rG  r  rX   rX   rY   rG  	  r  rG  c                   s|   t  tjrdd  D }tj |S t  tr' fdd  D S t  tt	fr<t
 dd t D S  S )Nc                 S  $   g | ]}t |tjr|jjn|qS rX   r_   rn   SymIntrV   exprr  rX   rX   rY   r   	      z,constrain_to_fake_tensor.<locals>.<listcomp>c                   s    i | ]}|t  | | qS rX   constrain_to_fake_tensorr   keyr   fake_argrX   rY   r   	  s    z,constrain_to_fake_tensor.<locals>.<dictcomp>c                 s      | ]
\}}t ||V  qd S r   r  )r   r   Zf_arX   rX   rY   r   	      
z+constrain_to_fake_tensor.<locals>.<genexpr>)r_   r*   r1   r  r  require_exact_stridesr   r   r   r]   r1  r   )r   r  meta_stride_exprrX   r  rY   r   	  s   
r   c                   s6   t dd t| |D }  fdd| D }| |fS )Nc                 s  r  r   r  )r   r   r  rX   rX   rY   r   	  s
    
z,constrain_to_fake_tensors.<locals>.<genexpr>c                   s    i | ]\}}|t | | qS rX   r  r   fake_kwargsrX   rY   r   	  rN  z-constrain_to_fake_tensors.<locals>.<dictcomp>)r   r   r   )re   r   Z	fake_argsr
  rX   r	  rY   rt   	  s
   rt   c                   sJ    fdd t  fddt|jD } fdd| D }||fS )Nc                   s^   t  tjrtjd  tjjj	}tj
 |S t  tr- fdd  D S  S )Nr  c                   s    i | ]}| | | qS rX   rX   r  )apply_constraintr   fx_argrX   rY   r   	  rN  zEconstrain_to_fx_strides.<locals>.apply_constraint.<locals>.<dictcomp>)r_   r*   r1   r  r/  r  rI   rP   r  r  r  r  r   r   )r   r  r  r  )r   r  rY   r  	  s   
z1constrain_to_fx_strides.<locals>.apply_constraintc                 3  s    | ]
\}} ||V  qd S r   rX   )r   r   r  r  rX   rY   r   	  r  z*constrain_to_fx_strides.<locals>.<genexpr>c                   s"   i | ]\}}| |j | qS rX   r   r   r  fx_noderX   rY   r   	  s   " z+constrain_to_fx_strides.<locals>.<dictcomp>)r   r   re   r   r  re   r   rX   r  rY   rv   	  s   

rv   c                   sN   fdd t  fddtt|jD } fdd| D }||fS )Nc                   s  t |tjs|S |jd }dd | D }t| }|r1|d dkr1tttt	|
 }jtjjkrF| dv rFt	|dksDJ d}|jsPtj||S d	 jtjjjjko^| d
k}t |tsfJ t	|
 dvrp|S t| rttj||S t |tr| d urt| rttj||S |r4t|
 }g }| }	tt	|
 d D ]}
tjj||
 ds|	d urtjj|	|
 dr||
 qdgt	| }d|d< d}tt	|d ddD ]A}
||
d  dkr|||
d   }|
|v rtjj||
d    drd||
< qtjj|  ds(t|   }|||
< qtj ||S t| rEttj||S t |trc| d urct| rcttj||S  fdd}t |j!tj"r||s||# rttj||S tj||S )Nr  c                 S  r  rX   r  r  rX   rX   rY   r   	  r  z=sdpa_constraint.<locals>.apply_constraint.<locals>.<listcomp>r  r   )r   r   r   )r   r'   r%   r   r   r   r   r   r'   r%   c                   s   t jj|  d   dkS r  )rI   rP   r  	size_hintr   r   Z	ALIGNMENTrX   rY   
is_aligned.
  s   z=sdpa_constraint.<locals>.apply_constraint.<locals>.is_aligned)$r_   r*   r1   r/  r  r  r]   r   r   r   r   rT   rh  0_scaled_dot_product_efficient_attention_backwardra  Zis_cudar  r  rn   rH   '_scaled_dot_product_efficient_attentionr9   Zis_aligned_realized_tensorZtry_match_insignificant_stridesZrealize_inputmaybe_get_striderI   rP   r  statically_known_equalsrb   r<   r  r`   r  r  )r  r   r  Zmeta_valr  r  Zeffn_attn_fwd_biasrj  Zexpanded_dimsZmaybe_striderd   Zout_stridesr  r  )r  r  rY   r  	  s   









z)sdpa_constraint.<locals>.apply_constraintc                 3  s$    | ]\}\}} |||V  qd S r   rX   )r   r  r   r  r  rX   rY   r   :
  s
    


z"sdpa_constraint.<locals>.<genexpr>c                   s$   i | ]\}}| d |j | qS r  r   r   r  rX   rY   r   >
  s   $ z#sdpa_constraint.<locals>.<dictcomp>)r   r^   r   re   r   r  rX   r  rY   sdpa_constraint	  s   {r  )rz  c                 C  sn   |}|   |  krt||   }|  | kr t||  }|  | kr3t||  }t|S t|S r   )ra   rp  r   r   r   r  rQ  )r  rX  rn  r   rc   rX   rX   rY   rR    s   rR  )memory_formatc                C  s&   t j|  |  |  t|  dS Nr*  )r6   r   ra   r   r   r]   r   )r   r  rX   rX   rY   rQ  $  s   
rQ  c                 C  s   g }t | tr+t | jtjr+| j} t | tjr'||   | j} t | tjst| } t| } |rI| j} |d d d D ]	}tj| |d} q;t| } | S )Nr  r  )r_   r9   r`   r*   r  rb   Z
get_layoutrQ  )r   Zreinterpret_view_layoutsr  rX   rX   rY   clone_preserve_reinterpret_view/  s   r  r  c                  s(    fdd}t jt| || gdS )Nc                   s   t j| d    dS )Nr   r   rH   r  r#  r   r  r  rX   rY   rj   Q  r/  ziota.<locals>.fnr*  )r6   r   r=   )lengthr  r  r   rg   requires_gradrj   rX   r  rY   iotaG  s   
r"  r   r  c                   s   |   |  ks
J |  t|  d tjjtdr'| 	    tjj
d tjj| 	    tt| | 	 }|  fdd}tj|  |   |t| 	 dS )Nr   c              	     s6   t t t |   tjt tj| | S r   )rH   r  eqr  rn   r  r  r   r  
src_loaderr  rX   rY   r)  h  s   z select_scatter.<locals>.inner_fnr*  )r   r   r  rI   rP   r  r  r   rQ  r   re  rf  r  r  r6   r   ra   r]   )r   rX  r   r  r)  rX   r$  rY   select_scatter\  s    

r&  c                   s     |  ks
J  t d    tj \t }t d  | < t	||}|  fdd}t
j   |t dS )Nr   r'   c              
     s2  dkrkrdkr| S t |  tj}t|  t|    < g }dkr?|t |t t	tj krT|t 
|t t	tj dkrs|t t t|   dtjt dtj |swJ tt j|}t | fddtrdnd}t ||| S )Nr   r'   c                         S r   rX   rX   )src_idxr%  rX   rY   r        z1slice_scatter.<locals>.inner_fn.<locals>.<lambda>r  )rH   r  rn   r  r]   r"   rb   r  r   r  r  r#  r$   r  r   r  r  r  r   r  )r  r  r  Zsrc_valr   ri  r  r%  r  r  r   r  )r(  rY   r)    sR   zslice_scatter.<locals>.inner_fnr*  )r   r   r  r   r*   r  Znormalize_start_endr]   r"   r  r6   r   ra   )r   rX  r   r  r  r  Zsrc_sizer)  rX   r*  rY   slice_scatterz  s    
.
r+  c                 C  s*   t | ttfrt| dkrt| d S | S rw  )r_   r]   r   r   _unwrapr   rX   rX   rY   r,    s   r,  r   rg   r  
pin_memoryc                  s  t |d tjfv d|  t | d tt tr ptjnp%t g }t tj	r6 fdd}nBt t
tfrE fdd}n3t dksZt d t
tfrlt dkrl|tt   fdd}ntjtj |d	S tjt|||d
S )Nlayout=r.  c                      t  S r   r  r#  r`   r   rX   rY   r)       ztensor.<locals>.inner_fnc                   r0  r   rH   r  r#  r1  rX   rY   r)    r2  r   r   c                   s8    fdd t dkrtdS  dt S )Nc              	     sr   | |k sJ ||  dkrt |  S ||  d |  }t t t d tjt |tj | | ||S )Nr'   r%   r   )rH   r  r  r  r  rn   r  )r  r  mid)binary_searchr`   r   r  rX   rY   r5    s   z/tensor.<locals>.inner_fn.<locals>.binary_searchr   )r   rH   r  r#  r1  )r5  r  rY   r)    s   r  r*  )r~   rn   stridedr_   r,  r   r  get_default_dtyper   r   r  r   rb   IntegerrI   rP   Zadd_tensor_constantr  r6   r   r=   )r`   r   rg   r  r.  r(  r)  rX   r1  rY   r    s,   *r  c                 C  s@   t | tr|d urt| |} |d urt| |} | S t| ||dS )Nr  )r_   r9   r   rp  r  )r`   r   rg   rX   rX   rY   	as_tensor  s   


r9  c                 C  s   t | tjdS r  r  r`   rX   rX   rY   long_tensor  r  r;  c                 C  s   ddl m} |tjjjtjjjd }|d usJ t|dks#J |t	t
| \}}t||| }tj||_tj| tjjjd }t|tjtjtjfrW|jjS t|S )Nr   )resolve_unbacked_bindingsunbacked_bindingsr'   r  )%torch.fx.experimental.symbolic_shapesr<  rI   rP   r  r  rQ   r/  r   r  iterr   r*   ZDynamicScalarregister_bufferr   register_operationr_   rn   r  ZSymFloatZSymBoolrV   r  r   rn  )r`   r<  r=  Zbinding_symZkeypathbufferr  rX   rX   rY   _local_scalar_dense  s   
rC  c                 C     d S r   rX   )r`   r}   rX   rX   rY   _assert_scalar<  s   rE  )rg   r  c                C  rD  r   rX   )r   r   r  r   rg   r  rX   rX   rY   _assert_tensor_metadataF  s   rF  c                   s   | t | ttfstdrjt ttfr  fdd}n"t tjr. fdd}nt dks8J 	 fdd}t
j| |t|dS )Nr   c                      t  S r   r3  r#  r   r   rX   rY   r)  T  r2  z_full.<locals>.inner_fnc                   rG  r   r  r#  rH  rX   rY   r)  Y  r2  r   c                   s    g S r   rX   r#  )value_loaderrX   rY   r)  `  s   r*  )r_   r   r  r   r   r   r   r   r   r   r6   r   r]   )
fill_valuerg   r   r   r)  rX   )r   r   rI  rY   _fullM  s    rK  c                 K  s   t t|| fi |S r   create_tensor_liketensor_constructor)r   rJ  r   rX   rX   rY   r  k  s   r  c                   s    d d d d dd d fdd
}|S )NF)namesr   rg   r  r.  r  c                   s   t | d u d t |d tjfv d|  t | d t|}|p#t }t|dkr;t|d tttj	fr;t|d }|D ]
}t|tj
rGJ q=dd |D }t |||S )Nnamed tensorsr/  r.  r'   r   c                 S  r  rX   r  r  rX   rX   rY   r     r  z5tensor_constructor.<locals>.inner.<locals>.<listcomp>)r~   rn   r6  r=   r7  r   r_   r]   r   Sizer  rK  )rO  r   rg   r  r.  r  r   r  rJ  rX   rY   r7  r  s   	"z!tensor_constructor.<locals>.innerrX   )rJ  r7  rX   rR  rY   rN  p  s   rN  )rO  r   r  rg   r.  r  c                 G  sX   t | d u d t|}t|dkr"t|d tttjfr"t|d }t|d ||||dS )NrP  r'   r   r   r  rg   r.  )	r~   r=   r   r_   r]   r   rn   rQ  empty_strided)rO  r   r  rg   r.  r  r   rX   rX   rY   r    s   
"r  c                   s   dddddd fdd
}|S )zZ
    Shim to convert X_like(...) into X(...).  For example zeros_like() into zeros().
    NF)r   rg   r  r.  r  c                  sj   t | d t |d tjfv d|  |d u r|  }nt|}|p%|  }t|  } |||||dS )Nr.  r/  r-  )r~   rn   r6  r   r   ra   r]   r   )r   r   rg   r  r.  r  r   creation_fnrX   rY   _constant_like  s   

z*create_tensor_like.<locals>._constant_likerX   )rV  rW  rX   rU  rY   rM    s   
rM  c                 C  s   t t| S r   rL  rR  rX   rX   rY   r    r2  r  c                   s   d d d d d fdd
}|S )NrS  c                  st   t |ttfs	J t| d t|d tjfv d|  t|p#|  }|p)|  }dd |D }t	 t
|||S )Nr.  r/  c                 S  r  rX   )r   r8  r  rX   rX   rY   r     r  z7new_constant.<locals>._new_constant.<locals>.<listcomp>)r_   r]   r   r~   rn   r6  r   r   ra   rK  r=   r   r   r   r  rg   r.  rR  rX   rY   _new_constant  s   z#new_constant.<locals>._new_constantrX   )rJ  rY  rX   rR  rY   new_constant  s   rZ  rS  c                C  s8   |d u r|   }|d u r|  }t|d ||t||dS NrS  r   ra   rT  r=   rX  rX   rX   rY   	new_empty  s   r]  c                C  s  t | ttfs	J t |tttd fsJ t| d t|d tjfv d|  t|p/t }|p7t	dj
}t|}td||| d}|  |jj}tj|jdgt|  d|_t |tjsbJ dd | D } |rrd	d |D ntj| }tj||| |d
|_|S )Nr.  r/  r  r   )rJ  rg   r   r   )r(  c                 S  r  rX   r  r  rX   rX   rY   r     r  z!empty_strided.<locals>.<listcomp>c                 S  r  rX   r  r  rX   rX   rY   r     r  )rg   r   r   r  )r_   r]   r   r1  r~   rn   r6  r   r7  r  rg   r=   rK  r?  r`   dataclassesreplacer   r*   r,  r  r  r  r  )r   r  r   r  rg   r.  Z	pointwiserB  rX   rX   rY   rT    s0   
rT  c                C  s8   |d u r|   }|d u r|  }t||||t||dS r[  r\  )r   r   r  r   r  rg   r.  rX   rX   rY   new_empty_strided  s   r`  c                 C  s2   dd |D }t tt||jd}tj| |S )Nc                 S     g | ]	}t jj|qS rX   )rI   rP   r  r  r  rX   rX   rY   r     r   z copy_strided.<locals>.<listcomp>)r  )sortedr   r   __getitem__r*   r  r  )r   r  r  rX   rX   rY   copy_strided  s   rd  c                 K  s*   | dd usJ dt|| fi |S )Nr   z(dtype should be handled by decomposition)r0  rN  )r   rJ  r   rX   rX   rY   full  s   re  c                   s   t | tsJ | dkrt| | S |  tdk}t|  | |r/t| dg} dg|  |  fdd}t	j
|  |  || dS )Nr   r'   c                   sF   t | } t|   }t| dkr|g} | S ||  < | S rw  )r]   rH   indirect_indexingr   )r  Z
gather_idxr   index_loaderr   r  rX   rY   rj   1  s   zgather.<locals>.fnr*  )r_   r9   	get_numelr]  r   r   r  r  r   r6   r   ra   r   )r   r   r  Zsparse_gradrH  rj   rX   rg  rY   gather  s$   	rj  c                   s   |rt tjj| ||||S |rJ t| tsJ t|ts J dt| v s*J |  |  t	|
 | 
 g |
 dd   fdd}tj|  |  |dS )Nr   r'   c                   s\   t | t ksJ |  d  | d  }t|d gg | d   }|S )Nz != r   )r   rH   rf  )r  Z	var_indexZ
weight_idxindices_loaderZindices_ndimr  Zweight_loaderZweight_sizerX   rY   rj   T  s   "
zembedding.<locals>.fnr*  )r^  rh  	embeddingra  r_   r9   r  r   r   r   r   r6   r   ra   )weightr  Zpadding_idxZscale_grad_by_freqsparserj   rX   rk  rY   rm  B  s(   

rm  c                   s   t dd  D sJ ddd  D  tdd  D r"tddd t D }t|d	ks5J d
d gt  }t|t fdd|D  D ]\}}| |krXtd|||< qJ||fS )Nc                 s  s4    | ]}|d ur|  tjtjtjtjfv V  qd S r   )r   rn   r  r  r   r$  r   rX   rX   rY   r   e  s    
z.check_and_broadcast_indices.<locals>.<genexpr>z)indices must be int64, byte or bool. Got c                 S  s   g | ]
}|d ur|  qS r   r   r   rX   rX   rY   r   j      z/check_and_broadcast_indices.<locals>.<listcomp>c                 s  s,    | ]}|d ur|  tjtjfv V  qd S r   )r   rn   r   r$  r   rX   rX   rY   r   l  s    
zFallback for bool indicesc                 S  r   rX   r   r   rX   rX   rY   r   q  r   r   z"requires at least 1 non-None indexc                   r  rX   rX   r   r  rX   rY   r   t  r   z.Fallback when indices is on a different device)r   r   r{   r^   r   r   r   ra   )r  rg   Z
valid_idxsZnew_indicesrd   r   rX   rr  rY   check_and_broadcast_indicesd  s"   
$
rs  c	              
     s   dt dd  D ]\}	}
|
|	 dkrdq
fddtD g 
tt d  d }r> nd |  |d    	f
dd}|fS )	NFr'   Tc                   s    g | ]\}}|d u r | qS r   rX   )r   rd   r  r\  rX   rY   r     rN  z2index_output_size_and_inner_fn.<locals>.<listcomp>r   c           	   	     s  t | t ks
J t t ksJ t }g }d }r"dn|}d}td d D ]F}||kr8||7 }| d u rR|t | k sFJ || |  |d7 }q.| }|d us\J | }|tj|| |||  | d q.g || |d  }	d u r|S 	|S )Nr   r  r'   r   wrap_neg)r   r   rb   rH   rf  )	r  rK  	new_indexfirst_tensor_indexZstart_offsetZnext_idxrd   loaderr   )
r   indexed_sizer  indices_loadersnon_consecutive_tensorsoutput_sizetensor_indicestensor_sizerv  r  rX   rY   rj     s>   

z*index_output_size_and_inner_fn.<locals>.fn)r   r^   r   )r\  r  r~  r  r{  rz  r  r   rv  previouscurrentrx  rj   rX   )r   rz  r  r{  r|  r}  r~  r  rv  r  r\  rY   index_output_size_and_inner_fn~  s$    


"r  c                 C  s,   t | ||\}}}tj|  |  ||dS r  )index_impl_helperr6   r   ra   r   )r   r  r   r}  r)  r   rX   rX   rY   
index_impl  s   r  c           
        s   t ttfs	J |  t|  \}t|dks J ddd D }t|d   }|  fddttD }|rQd|v rQd|vrQt	dfddttD }t
||||d ||d	\}  fd	d
}	||	 fS )Nr   z Must have at least one valid idxc                 S      g | ]}|d ur|  nd qS r   r  r   rX   rX   rY   r     rN  z%index_impl_helper.<locals>.<listcomp>c                   s    g | ]} | d ur| qS r   rX   r   )r  r\  rX   rY   r     rN  z0index is out of bounds for dimension with size 0c                   r  rX   rX   r   rt  rX   rY   r     r   ru  c                   s    | S r   rX   r  )index_inner_fnr  rX   rY   r)    r2  z#index_impl_helper.<locals>.inner_fn)r_   r]   r   r   rs  ra   r   r   r   
IndexErrorr  )
r   r  r   rv  r~  r{  r  rz  r}  r)  rX   )r  r  r  r\  rY   r    s0   

r  c                 C  sB   zt | |ddW S  ty    |   ttjjdd| | Y S w )NTr   FrY  )r  r{   r?  r^  rh  r  r  r   r  rX   rX   rY   r    s   c                 C  s   t | |ddS )NFr  )r  r  rX   rX   rY   _unsafe_index  r  r  c                 C  s   t t| |||dddS )NTFr   may_realizeindex_put_impl_rQ  r   r  r   
accumulaterX   rX   rY   	index_put     r  c                 C  s   t t| |||dddS )NFr  r  r  rX   rX   rY   _unsafe_index_put  r  r  c                 C  sB   |  |   krt||   }|rt| |}t| t|d || S rw  )ra   rp  r   rW  r  )r  r  r   r  rX   rX   rY   index_put_as_masked_fill  s
   
r  c                 C  s   t tjjj| ||| | S r   )r*   ZIndexPutFallbackrI   rP   rQ   rT   r  r  r   r  rX   rX   rY   index_put_fallback&  s   r  c                 C  s   t | |||dddS )NTr  r  r  rX   rX   rY   
index_put_+     r  c                 C  s   t | |||dddS )NFTr  r  r  rX   rX   rY   _unsafe_index_put_2  r  r  c              
     s  |r!dd }dd  || |  v r!t fdd|D s!|  | dkrZt|dkrZ|d  tjtjfv rZ|d }t	t|
 t| 
 D ]}t|d	}qJt| |g||S t ret| |||S |D ]}	|	d ur|	 tjtjfv rt| |||  S qg| 
 t}
|rt|  r|
dkrt| dg} t| |||} |
dkrt| g } | S t||  }zt||  \}}W n ty   t| ||| Y S w d
d |D }t| tsJ |   |
dkrt| dg} t||d  
 }fddt	t|D }t|||||d |d\}}t||}tj|  |  | |||r(dnd d}tjd t| |d}tj !||_"tj #| |
dkrNt| g } | S )Nc                 S  sP   t | tjr	| j} t | tjr|  } t | tjr| j} t | tjr&|  S d S r   )	r_   r*   r9   r`   r  r  r*  Bufferr  r   rX   rX   rY   try_get_name<  s   z%index_put_impl_.<locals>.try_get_namec                 S  sd   t | tr0t | jtjr0| j } t | tjo/t | jtjo/t| jdd o/| jj	j
tjjjjkS dS )Nr  F)r_   r9   r`   r*   r  r  r*  r  r   r  rT   rn   rH   rh  randpermra  )indicerX   rX   rY   indice_slice_from_randpermE  s   
z3index_put_impl_.<locals>.indice_slice_from_randpermc                 3  r5  r   rX   )r   r  )r  rX   rY   r   S  rE  z"index_put_impl_.<locals>.<genexpr>r'   r   r  c                 S  r  r   r  r   rX   rX   rY   r     rN  z#index_put_impl_.<locals>.<listcomp>c                   r  rX   rX   r   rt  rX   rY   r     r   r  
atomic_addrg   r   r)  r(  output_indexerZscatter_moder   r  r`   )$r4  r   r?  ri  r   r   rn   r   r$  r   r   r  r  $are_deterministic_algorithms_enabledr  rB   ri  r   rs  ra   r{   r_   r9   r]   r  r  r*   Scatterr   r,  MutationLayoutSHOULDREMOVErI   rP   r@  r   rA  )r  r  r   r  r   r  r  r  r   r  Zx_ndimr~  r{  r  rz  Zexpected_vals_sizer)  scatterrB  rX   )r  r\  rY   r  9  s   	






r  rY  c                   sT   t | |ddd\}}  |   fdd}tj|  |  ||dS )NFru  c                   sB   j tjkrt tj}n }t| fddS )Nc                     s    S r   rX   rX   )_unsafe_index_fnr  self_loaderrX   rY   r    r  z8_unsafe_masked_index.<locals>.inner_fn.<locals>.<lambda>)r   rn   r   rH   r   r  )r  Zmask_valr  fillr  Zmask_loaderr  r  rY   r)    s   z&_unsafe_masked_index.<locals>.inner_fnr*  )r  r   r6   r   ra   r   )r  r  r  r  r(  r   r)  rX   r  rY   _unsafe_masked_index  s   r  c                   s@   t ||d}|   fddtt D }t| ||ddS )Nr   c                   s6   g | ]} | rt  | |  | d  ndqS r  r  r   r  r  rX   rY   r     s    (z7_unsafe_masked_index_put_accumulate.<locals>.<listcomp>T)r  )r  r   r   r   r  )r   r  r  r   Zmasked_valueZclamped_indicesrX   r  rY   #_unsafe_masked_index_put_accumulate  s   
r  c                 C  s   t |t || S r   )rH   r  r  r   minmaxrX   rX   rY   r       r  c                 C  rV  r   )rQ  r  copy_)r  rX  r   r  r  r	  Zoutput_viewrX   rX   rY   as_strided_scatter  rZ  r  c                 K  s   t t| |||fi |S r   )scatter_rQ  )r   r   r  rX  r   rX   rX   rY   r       r  r  include_selfr  r<  r  r  c             	   C  sf   t |t}t| || ttj|r| nt||r| jnd|r1t	j
| ||||||d |S d S )Nznot implr  )r_   r9   rG   r   r   rn   r   r1  ra   r*   ZScatterFallback)r  r  r   r  rX  r  r  Zsrc_is_tensorrX   rX   rY   scatter_fallback  s(   

	r  r  c                C  sr   |dv sJ |d u r$t tjtjjjj}t|| ||||d}|d ur$|S |dkr+d}n|dkr1d}t	| ||||S )N)Nr   multiplyr  r   sumr  prod)
r   rh  r  rI   rP   rQ   rT   Z_overloadnamer  scatter_reduce_)r  r   r  rX  r  r  fallback_resultrX   rX   rY   r    s   r  c                 C  s   t t| |||S r   )scatter_add_rQ  r   r   r  rX  rX   rX   rY   scatter_add)  rU  r  c                 C  s   t | |||dS )Nr  )r  r  rX   rX   rY   r  .  rr  r  c                 K  s   t t| ||||fi |S r   )r  rQ  )r   r   r  rX  reduction_typer   rX   rX   rY   scatter_reduce3  s   r  )r  c             	     s,  |dv sJ t tj dkrdtj v sJ dttr$tttjj |||d}|r5|S tt	s<J dt
| v sFJ t  }|dkrVtdgtt	rit  dkritdgt|t	r|t | dkr|t|dg}| dkrS t    | tt	r nd  fdd	}fd
d}	dd }
|stj  fdd| |d d}tjd t|d}tj||_tj| tj  |	| ||
|d}tjd t|d}tj||_tj| |dkrtg S )N)Nr  r  meanamaxaminr'   twozKaten.scatter_reduce_.two is not the unique overload of aten.scatter_reduce_r  r   r   c                   sD     }t|}t| }tj| |dkrdn|  dd| < |S )Nr   r'   F)rv  )r   r   r]   rH   rf  )r  r  rh  Zindirect_idx)r   rh  r  rX   rY   r  f  s   
z'scatter_reduce_.<locals>.output_indexerc                   s   r| S t   S r   rH   r  r   r  )r  rX  r%  rX   rY   rj   p  s   zscatter_reduce_.<locals>.fnc                 S  s   | dkrdS | d u sJ d S )Nr  r  rX   r  rX   rX   rY   backend_reduce_strw  s   z+scatter_reduce_.<locals>.backend_reduce_strc                   s   t d  S rw  r  r#  )r  rX   rY   r    rM  z!scatter_reduce_.<locals>.<lambda>r  r  )r   rh  r  r   r_   r   r  r  r  r9   r  r   r   ri  ri  r  r?  r   r*   r  ra   r,  r  rI   rP   r@  r   rA  )r  r   r  rX  r  r  r  rh  r  rj   r  Zzero_outrB  r  rX   )r   rh  r  rX  r%  rY   r  8  s   







r  scales_xtuple[Optional[float], ...]nexactc           
        s   |    |  |   d  |  d   }dd D t|ks)J |}dd t|D t|D ]\}}|d urGd| |< q9 fddfdd}	tj|  | 	 |	g ||d	S )
Nc                 S  ra  rX   r  r   rX   rX   rY   r     r   z&upsample_nearestnd.<locals>.<listcomp>c                 S  s   g | ]\}}|| qS rX   rX   )r   rd   orX   rX   rY   r     rb  r  c                   s\   t | tj}  rt | t dtj} t | t |tj} t | tj} t j	| |ddS )N      ?Fr  )
rH   r  rn   r  r   r  r+  r   r  rf  )r   r  r   )r  rX   rY   scale_fn  s   z$upsample_nearestnd.<locals>.scale_fnc                   sB   |  d  }| d   }g |fddt | D S )Nc                   s   g | ]\}}} |||qS rX   rX   )r   rd   r  r   )r  rX   rY   r     r   z2upsample_nearestnd.<locals>.fn.<locals>.<listcomp>)r   )r  r   r  )i_sizes
inv_scalesr  r  r  rX   rY   rj     s
    zupsample_nearestnd.<locals>.fnr*  )
realize_hintr   r   r   r   r^   r6   r   ra   r   )
r   r}  r  r  r  batchZo_sizesrd   r  rj   rX   )r  r  r  r  r  r  rY   upsample_nearestnd  s(   
r  Optional[float]c                 C  s   t | ||fddS )Nr'   r  r  r   r}  r  rX   rX   rY   upsample_nearest1d  rU  r  c                 C  s   t | ||fdddS )Nr'   Tr  r  r  r  rX   rX   rY   _upsample_nearest_exact1d  r  r  scales_hscales_wc                 C  s   t | |||fddS )Nr%   r  r  r   r}  r  r  rX   rX   rY   upsample_nearest2d  s   r  c                 C  s   t | |||fdddS )Nr%   Tr  r  r  rX   rX   rY   _upsample_nearest_exact2d  s   r  scales_dc                 C  s   t | ||||fddS )Nr   r  r  r   r}  r  r  r  rX   rX   rY   upsample_nearest3d  s   r  c                 C  s   t | ||||fdddS )Nr   Tr  r  r  rX   rX   rY   _upsample_nearest_exact3d  s   r  c                   s   t  fdd|D S )Nc                 3  s    | ]	}t | V  qd S r   r3  r   r   rX   rY   r   	  rC  z$_create_constants.<locals>.<genexpr>)r   )r   re   rX   r   rY   r    s   r  c                   s:   |   |   fdd}tj|  |  |dS )Nc                   sF   t | } t| tksJ  D ]}| d | |  | |< q| S r|  )r]   r   )r  r   r  r  r  rX   rY   ry    s
   zrev.<locals>.loaderr*  )r   r   r6   r   ra   r   )r   r  ry  rX   r  rY   rev  s   r  paddingSequence[int]rJ  c                 C  s  dd }| r	dS t |dkst |  dkrdS |   t| tjrBt| jtjrBt| jjtjs=t	j
rBt| jjtjrB| jjjsDdS |   t| \}}|j}|d dkrZdS |d dksl|d dksl|d dkrndS |d }|dkrxdS |d }|jd }	||	| k rdS | jjj}
|jd |jd | g}|tjj|
< t| ||j|j}t|d|	|	| d	}t|| td
 d  d7  < |S )z
    This optimization changes the semantics of padding from 'clone'
    style to 'view' style.

    Thanks to functionalization, this change can still maintain numerical
    correctness.
    c                  S  sL   t jj} | du r
dS t| j}t|dkr$|d jtjj	tj
j	fv r$dS dS )a  
        Conservatively check if padding can be fused with downstream op.
        1. if the downstream op is a sum, then there is little benefit to
           do inplace padding
        2. if the downstream op is a matmul, doing inplace padding can
           save membw.
        NTr'   r   F)rI   rP   rQ   r   rR   r   rT   rh  mmra  Zaddmm)rQ   rR   rX   rX   rY   _padding_can_be_fused-  s   
z6inplace_constant_pad_nd.<locals>._padding_can_be_fusedNr   r%   r'   r   r   )r   r  r  inductorinplace_padding)r   r   r?  r_   r*   r9   r`   r*  r,  r(   Zcan_inplace_pad_graph_inputZInputBufferr   Zfreeze_layoutr  r  r   rI   rP   Zbuffer_to_padded_sizer  rH  r  fill_r   )r   r  rJ  r  r   r  r  ZnpadZstride0ZrowsizeZbufnameZpadded_sizeZ	resized_xZsliced_xrX   rX   rY   inplace_constant_pad_nd"  s\   

$


r  c              	     st  t |d dks
J tdd |D rt| S tjr$t| |}|r$|S |  }tttt	|d d d |dd d  t |t   g  D ]\}}
tjj||f qIt|d  }g t	 |d  D ]\\}}	}

|
 |
t|
| |	  qmt |t |ksJ t|   fddfdd	}|  tj|  |  ||d
S )Nr%   r   c                 s  r   r   NrX   r   r  rX   rX   rY   r     r   z"constant_pad_nd.<locals>.<genexpr>r'   c                   s~   g }t  d  D ]\}\}}}|dkr|t|d |dkr+|t|| qttj|}t| fddS )Nr   c                     r'  r   rX   rX   )r  r  rX   rY   r    r)  z/constant_pad_nd.<locals>.mask.<locals>.<lambda>)	r   rb   range_mask_lowrange_mask_highr   r  rH   r  r  )r  r  r  r  r  r   )boundsrJ  
mask_sizesr  r  r#  rY   r    s   "zconstant_pad_nd.<locals>.maskc                   sZ   t | d  }t| d   D ]\}\}}|||  qt|t| ks)J |S r   )r]   r   rb   r   )r  rw  r  r  Z_high)bounds_precompr  r  rX   rY   	offset_fn  s
   z"constant_pad_nd.<locals>.offset_fnr*  )r   r   rQ  r(   r  r  r   r]   r   r   rb   rI   rP   r  Zlookup_precomputed_sizer   r  r   r   r   r6   r   ra   )r   r  rJ  rc   r  lhr}  r  r  r   r  rX   )r  r  rJ  r  r  r  r  rY   r>    s:   *

r>  rd   
sympy.ExprUnion[sympy.Expr, int]c                 C  s&   t t | tjt t|tjS r   )rH   r  r  rn   r  r   r8  )rd   r  rX   rX   rY   r    s   r  c                 C  s    t t | tjt |tjS r   )rH   r  r  rn   r  )rd   r  rX   rX   rY   r    s   r  c                 C  s   t t| |t| |S r   )rH   r  r  r  )rd   r  r  rX   rX   rY   
range_mask  s   r  r  c                   sF       d   pdg   fdd}|S )Nr   c                   s|   | d   |  d   t tj fddtD }r1t| fddS t| 	fddS )Nc                   s.   g | ]}t |  | |  |  qS rX   )r  r   )r  ih	padding_hrX   rY   r     s   . z=constant_boundary_condition.<locals>.load.<locals>.<listcomp>c                     s   t  dg S )Nr   )constant_boundary_conditionrX   )r   r  pad_fill_valueprefixr   rX   rY   r    s    
z;constant_boundary_condition.<locals>.load.<locals>.<lambda>c                     s   g  S r   rX   rX   )r  r  r  rX   rY   r    rM  )r   r  rH   r  r   r  )r  r  r   rJ  r  r  r  r  r   r  )r  r  rY   r"    s   	z)constant_boundary_condition.<locals>.load)r   r   )r   rJ  r  r  r   r"  rX   r  rY   r    s
   r  dilationc          	      C  s&  |d u rdgt | }t| d||   || || d   || d  || }|rt| d||   || || d   d|| d   || }tjj|d ||  |  ||  dkrt|d8 }tjjd|||  |  ||   tjj|| dkrtjj|| d}||fS |}||fS )Nr'   r%   r   F)r   r"   rI   rP   r  r  re  r  )	r   rd   kernel_sizer  r  	ceil_moder  Zx_outZx_altrX   rX   rY   pooling_size  s4   .
*$r	  c                C  s    t | |} ttj| }|dkS )N   )rC   r   r  r  r+  )r  n_dimwindow_sizerX   rX   rY   %should_fallback_max_pool_with_indices
  s   
r  assert_fallbackc                C  s   |dkr	dg| }|dkrdg| }|s|}t ||}t ||}t ||}t ||}t| ts1J t||ks9J t||ksAJ t||ksIJ t||ksQJ t|  |d |d fv saJ t||d}|d urq||ksqJ |||||fS )Nr   r'   r%   r  )rC   r_   r9   r   r   r  )r   r  r  r  r  r  r  Zuse_fallbackrX   rX   rY   max_pool_checks  s(   





 r  c             
     sN  |    | jd   }| j d  t fddtD  \} | j}	|	tju r2dn|	jr9tdnt	|	j
}
t|t| }tsXt sXtdd D r`t| |
dn|  fdd	}tjd
| |  |	|	||d}tjd| |  tj|	||d}t|jjtr|  t|jjtr|  ||fS )Nc                   s&   g | ]}t | | d qS )r  r	  r  )r  dhwr  r  r  r  rX   rY   r   <  s    z*_max_pool_with_offsets.<locals>.<listcomp>F-infc                 s  s    | ]}|d kV  qdS r  rX   r  rX   rX   rY   r   L  r   z)_max_pool_with_offsets.<locals>.<genexpr>r   c                   sJ   | d   }|  d    fddt D }g ||S )Nc                   4   g | ]} | |  | |   |  qS rX   rX   r   bhr  r  reduction_idxr  rX   rY   r   T      &z<_max_pool_with_offsets.<locals>.fn_inner.<locals>.<listcomp>r   )r  r  r  r  )r  r  r  r  r  r  r  rY   fn_innerQ  s   z(_max_pool_with_offsets.<locals>.fn_innerr  r  
input_noderg   	dst_dtyperL  r)  r(  reduction_rangesargmax)r  r  r   r   r   rn   r   rd  r  rf  r  r]   r   r  r   r7   r   ra   r  r_   r`   r?  )r   r  r  r  r  r  r  r  Zdhw_outr   Z	min_valuer  r  r  offsetsrX   )r  r  r  r  r  r  r  r  rY   _max_pool_with_offsets-  sV   
	"	

r#  c           
   
   C  s   t |}t| |||||dd\}}}}}tjdd t| ||||||d\}}	|t|	tjfW  d    S 1 s:w   Y  d S )NFr  r
  unroll_reductions_thresholdr  )r   r  r(   r   r#  r   rn   r#  )
r   r  r  r  r  r  r  r   r  r"  rX   rX   rY   !_low_memory_max_pool_with_offsetsx  s,   	

	$r&  r"  r  "Sequence[Union[int, torch.SymInt]]
input_sizeincrements_to_indexxCallable[[Sequence[Union[int, torch.SymInt]], Sequence[Union[int, torch.SymInt]]], torch._inductor.virtualized.OpsValue]c                   sZ   t |  tttj fdd}tj	| 
 tj||  d}|S )Nc                   sJ   | }t |}t|} | |}t t| d  tjS r   )rH   rf  r)   Z_flattened_index_to_ndr  Z_flatten_indexrn   r  )r  rH  Zoffset_sympyr  Zidhwr)  r(  r  r  Zoffsets_loaderr  rX   rY   offsets_to_indices  s   
z4_pool_offsets_to_indices.<locals>.offsets_to_indicesr*  )r   r   r   rn  r   r  r  r+  r6   r   ra   rn   r  r   )r"  r  r(  r)  r,  r  rX   r+  rY   _pool_offsets_to_indices  s   		r-  c                   s(   t | fdd}t| |||S )Nc                   s,   |  d    fddt D S )Nc                   r  rX   rX   r   r  rX   rY   r     r  zX_low_memory_max_pool_offsets_to_indices.<locals>.increments_to_index.<locals>.<listcomp>r  r  r  r  r  r  r  r  rY   r)    s   zD_low_memory_max_pool_offsets_to_indices.<locals>.increments_to_index)r   r-  )r"  r  r(  r  r  r  r)  rX   r/  rY   '_low_memory_max_pool_offsets_to_indices  s
   r0  c              	   C  s^   t | |||||d\}}}}}t| ||||||d\}}	t|	|| j| d  |||}
||
fS )Nr  )r  r#  r0  r  )r   r  r  r  r  r  r  r   rc   r"  r  rX   rX   rY   _max_pool_with_indices  s   	
	r1  c              	   C     t | |||||ddS Nr%   r  r1  r   r  r  r  r  r  rX   rX   rY   max_pool2d_with_indices     	r6  c              	   C  r2  Nr   r  r4  r5  rX   rX   rY   max_pool3d_with_indices  r7  r9  c                   sN  dkrddg|dkrddg}st |tsJ tdks#J tdks+J tdks3J t|dks;J t| dv sEJ |   |  }t |trzt |jjtrz|jj}	tj	d tj
|	 |	 |	 d|	d}
|
  |
 }n| }|d ur|d dkp|d uo|d dk}tdd |D rt| ||||S | ^ }}
|  ^ }| |   t| }tfd	dtd d D tfd
dtd d D 		 }|dkrt| ||||S |  	
fdd}tj|  |  ||d}|r%tj|S |S )Nr   r'   r%   r  )rg   r   r   r  c                 s  s    | ]}|d kV  qdS r  rX   r  rX   rX   rY   r   9  r   z3max_pool2d_with_indices_backward.<locals>.<genexpr>c                 3  <    | ]}t |d   t d | d   d    dV  qdS r   r'   Nr  r   r  r  r  rX   rY   r   F  
    *
c                 3  <    | ]}t |d   t d| d   d    d V  qdS r'   r   Nr<  r   wr>  rX   rY   r   J  r?  r
  c                   sV  | ^ }}}t |
 | tj}|d  }|d  }t t|d  d  d tj}t t|d  d  d tj}t t|d d tj}t t|d d tj}t |t dtj}t |t dtj}t |t tj}t |t tj}d }	tD ]}
t	D ]}t 	|t |
tj}t 	|t |tj}g |t j
t |t |t dtjd ddt j
t |t |t dtjd dd}|} |}t ||}|	d u rt ||t dtj}	qt t t ||t |||}t |t 	|	||	}	qq|	d us)J |	S )Nr   r'   Fr  r  r  )rH   r  rn   r  r"   r  r  r  r   r   rf  r  r#  r  r  r  r  )r  r  r  rC  Z
index_testphstartpwstartphendpwendgradientph_pw_phpwZ
grad_indexZindex_actualZ	grad_partr   r  grad_loaderh_window_sizerl  Zindices_sizer  r  pooled_heightpooled_widthr  w_window_sizewidthrX   rY   rj   Y  sl     


#z,max_pool2d_with_indices_backward.<locals>.fnr*  )r_   r9   r   r   r  r  r`   r6   r*   r,  r  ra   r   Zdecide_layoutr  r   )fallback_max_pool2d_with_indices_backwardr   r]   r  r   r   r  rG  )grad_outputr   r  r  r  r  r  r  Z	gO_strider`   Zx_bufferZx_strideZis_channels_last_batch_heightr   r  r  rj   rc   rX   rN  rY    max_pool2d_with_indices_backward  s|   	
 ;rY  r  c                   s   |    fdd}|S )Nc              
     s   |\|\ |\}}t t t   tjt |tjt t  tjt |tj}t | fddS )Nc                     s   g    S r   rX   rX   )h_start_indexr  iwr  w_start_indexr  rX   rY   r    rq  z3pad_adaptive_loader.<locals>.load.<locals>.<lambda>)rH   r  r  r  rn   r  r  )r  Z
incrementsZstart_indicesZend_indicesh_end_indexw_end_indexr  pad_valr  )rZ  r  r[  r  r\  rY   r"    s$   z!pad_adaptive_loader.<locals>.loadr  )r   r`  r"  rX   r_  rY   pad_adaptive_loader  s   ra  c           
      C  sL   t j| ||d}t j|||d}t j| ||d}t j|||d}	||||	fS )N)out_diminp_dim)r   r   )
start_index	end_indexh_inw_inh_outw_outrZ  r]  r\  r^  rX   rX   rY    compute_indices_adaptive_pooling  s
   rj  c                   sD   |\}}|\}}	t | |||||	\  fdd}
|
S )Nc                   s   | ^ }}}|} |}|}|}d }	t td td D ]\}
}|||
|g||g||g}|	d u r>|}	q&||	}	q&|	S r~  )r   productr   )r  ry  r  r  bwrZ  r]  r\  r^  r  r  r[  r  h_end_index_fnh_start_index_fnkernel_maxes
pooling_fnw_end_index_fnw_start_index_fnrX   rY   rj     s"   $z _adaptive_pooling_fn.<locals>.fnrj  )rd  re  rp  in_sizes	out_sizesrq  rf  rg  rh  ri  rj   rX   rm  rY   _adaptive_pooling_fn  s   rw  c           
        sF   |\}|\}}t | ||||\  fdd}	|	S )Nc                   s   | ^ }}}|} |}|}|}d }	d }
t td td D ]>\}}||||g||g||g}t||  | | tj}|
d u rO|}
ntt||	||
}
|	d u ra|}	q(||	}	q(|
S r~  )	r   rk  r   rH   r  rn   r  r  gt)r  ry  r  r  rl  rZ  r]  r\  r^  maxvalZmaxindexr  r[  r  r  rn  ro  rp  rq  rr  rg  rs  rX   rY   rj     s0   $z)_adaptive_pooling_fn_with_idx.<locals>.fnrt  )
rd  re  rp  ru  rv  rq  rf  rh  ri  rj   rX   rz  rY   _adaptive_pooling_fn_with_idx  s   #r{  c                   s    tjkrtdttsJ t|dksJ    ^ }}}t	j
j|}t	j
j|}|\}}||krD||krDtS |dksL|dkr_g |||}t|   dS || dkrx|| dkrx|| || g}t|S t|| d |}	t|| d |}
t|||g }  }|	|
 }|dkrt|S dd }d	d
 }t|||	|
g||g||gtjd tt fdd}tj |||d}|S )Nz0'adaptive_avg_pool2d' not implemented for 'Long'r%   r   r  r'   r
  c                 S     t | | |S r   r"   r  rb  rc  rX   rX   rY   rd  O     z)_adaptive_avg_pool2d.<locals>.start_indexc                 S     t | d | | d |S r|  r}  r~  rX   rX   rY   re  R  r/  z'_adaptive_avg_pool2d.<locals>.end_indexrd  re  rp  ru  rv  rq  c                   s   t  | t | S r   )rH   truedivra  r  fn_sumZones_loaderr   rX   rY   rj   `  s   z _adaptive_avg_pool2d.<locals>.fnr*  )r   rn   r  r  r_   r9   r   r  r   rI   rP   r  r  rQ  r  ra   
avg_pool2dr<   r]   fallback_adaptive_avg_pool2drw  rH   r   ra  	ones_liker6   r   )r   r}  r  rf  rg  rh  ri  o_sizer  h_kernel_maxw_kernel_maxr  r   r  rd  re  rj   rvrX   r  rY   _adaptive_avg_pool2d)  sV   

	r  c                   s    tjkrtdttsJ t|dksJ    ^ }}}t	j
j|}t	j
j|}|\}}|dks@|dkr]g |||}t|   dt|tj dfS || dkrk|| dkrktt|| d |}t|| d |}	t|||g }
  }||	 }|dkrt|S dd }d	d
 }t||||	g||g||gtjdt||||	g||g||gtjd fdd} fdd}tj |||
d}tj tj||
d}||fS )Nz,adaptive_max_pool2d not implemented for Longr%   r   r  r'   r
  c                 S  r|  r   r}  r~  rX   rX   rY   rd    r  z(adaptive_max_pool2d.<locals>.start_indexc                 S  r  r|  r}  r~  rX   rX   rY   re    r/  z&adaptive_max_pool2d.<locals>.end_indexr  c                       | t tdS Nr  ra  r  r  )inner_func_max_valr   rX   rY   inner_fn_max_val  rA  z-adaptive_max_pool2d.<locals>.inner_fn_max_valc                   r  r  r  r  )inner_func_max_idxr   rX   rY   inner_fn_max_idx  rA  z-adaptive_max_pool2d.<locals>.inner_fn_max_idxr*  )r   rn   r  r  r_   r9   r   r  r   rI   rP   r  r  r  ra   
ValueErrorr<   r]   fallback_adaptive_max_pool2drw  rH   r  r{  r6   r   )r   r}  r  rf  rg  rh  ri  r  r  r  r  r   r  rd  re  r  r  r  rirX   )r  r  r   rY   adaptive_max_pool2dt  sp   
		r  c                   s<            fdd}|S )Nc           	        s   g | d   }t | }t  tj}t d tj}t t |tjt |tj}t t 	|dd|}t 
|| | t 
||  }t |tj}t ||}t t |||tS )Nr'   r   )rH   r  r   rn   r  r  r   float64r  r#  r  r  rf  r   rn  )	r  rd   sampleZi_exprdiffZout_sz_exprr  Zseq_ir  r   in_sz	kernel_szndimsout_szsamplesZsamples_loaderrX   rY   r"    s    z)_fractional_pooling_offsets.<locals>.loadr  )r  r  r  r  r   r  r"  rX   r  rY   _fractional_pooling_offsets  s   r  c                 C     t | |||ddS r3  _fractional_max_poolr   r  r}  random_samplesrX   rX   rY   fractional_max_pool2d  rU  r  c                 C  r  r8  r  r  rX   rX   rY   fractional_max_pool3d  rU  r  c                   s8  |    | jd   | j d  }tjddw fddtD  |  fdd} fddt|t }|  }tj	d	| | 
 ||||d
}	tj	d| | 
 tj|||d
}
t|	jjtrt|	  t|
jjtr|
  t|
| j}|	|fW  d    S 1 sw   Y  d S )Nr
  r$  c              
     s    g | ]}t  |d qS ))r  r  r  r  r  r   )r  r  )inp_dhwr  r  r}  r  rX   rY   r     s    	z(_fractional_max_pool.<locals>.<listcomp>c                   s$   | d   }g | | |S r   rX   )r  r  r  )r)  r  r  rX   rY   r    s   z&_fractional_max_pool.<locals>.fn_innerc                   s8   | d   |  d    fddt D S )Nc                   s&   g | ]}|  | |  qS rX   rX   r  )bdhwdhw_index_fnr  r  rX   rY   r     s    zE_fractional_max_pool.<locals>.increments_to_index.<locals>.<listcomp>r  r.  )r  r  )r  r  r  rY   r)    s
   z1_fractional_max_pool.<locals>.increments_to_indexr  r  r!  )r  r  r(   r   r   r   r]   r   r7   r   ra   rn   r  r_   r`   r?  r-  )r   r  r}  r  r  r  r  r  r   r  r"  r  rX   )r  r)  r  r  r  r}  r  r  rY   r    sP   "	


$r  c                   s       ^ }}}tjj|}tjj|}|^ }}}	|| dkr9||	 dkr9t|| ||	 gddS t||}
t||	}dd fdd}t||
|g||g||	gt	j
d  fd	d
}tj  |t|d}|S )Nr   r'   )divisor_overridec                 S  s   t | | t|S r   )r!   r   rn  r~  rX   rX   rY   rd  ;  rA  z0upsample_nearest2d_backward.<locals>.start_indexc                   s    | d ||S r|  rX   r~  )rd  rX   rY   re  >  rO  z.upsample_nearest2d_backward.<locals>.end_indexr  c                   s    | t S r   )ra  r  )r  r   rX   rY   rj   J  r  z'upsample_nearest2d_backward.<locals>.fnr*  )r  r   rI   rP   r  r  r  r<   rw  rH   r   r6   r   ra   r   r]   )r   r}  r(  r  r  rW  Zinp_hZinp_wZout_hZout_wr  r  re  rj   r  rX   )r  rd  r   rY   upsample_nearest2d_backward)  s6   

	r  rX   c              
   C     t | ||||||ddS )Nr%   r   _avg_poolndr   r  r  r  r  count_include_padr  rX   rX   rY   r  _     
r  c              
   C  r  )Nr   r   r  r  rX   rX   rY   
avg_pool3du  r  r  c              	     s  
s
sdg t t 

t t| ts!J tks)J t
ks1J tks9J t|  d d fv sIJ |   |  d   }|   d  t 
fddtD  \}	}
tszt|
rt	| ddd}n| 
 d	}t|t|	 }|  ttj}|d
krdkrt}ndkrt}ntd || 
 |S 
fdd|r|r|r|n|jrd 		fdd}qfdd}n
f	dd}tj|  ||d}|S )Nr   r'   r%   c              	     s"   g | ]}t | | qS rX   r  r   )r  r  r  r  r  rX   rY   r     s    z_avg_poolnd.<locals>.<listcomp>r  r   TFr
  r   zUnknown dim: c                   s   | d   }|  d   d }t jfddtD  D ]% fddtD }|g ||}|d u r=|}qt||}q|S )Nc                   s   g | ]}t  | qS rX   r  r   )r  rX   rY   r     rb  z/_avg_poolnd.<locals>.fn_sum.<locals>.<listcomp>c                   s,   g | ]} | |  |  |  qS rX   rX   r   )r  r  r  r  rX   rY   r     s   , )r   rk  r   rH   r   )r  ry  r  totalr   r  )r   r  r  r  )r  r  rY   r    s    z_avg_poolnd.<locals>.fn_sumc                   s   t | t  S r   )rH   r+  r  r  )r   r  r  r  rX   rY   rj     r/  z_avg_poolnd.<locals>.fnc                   s   t | t  S r   )rH   truncdivr  r  )divisorr   r  r  rX   rY   rj     r  c                   s   |  d  }g }t D ]<}|| |  |  }t||  | |  } s;t|d}t|| }t|| tj}|| qt	
tj|}jr]t| |S t| |S rw  )r   r   ZMinMaxrH   r  rn   r  rb   r   r  r+  rd  r  r  )r  r  Zdivide_factorsrd   hstarthendfactordivide_factor)	r  r   r   r  r  r  r  r  r  rX   rY   rj     s    r*  )rC   r_   r9   r   r   r  r   r   r   r  r   r]   r   r   r  r  r+  fallback_avg_pool2dfallback_avg_pool3dr  rd  r6   r   ra   )r   r  r  r  r  r  r  r   r  rh  Z
ceil_modeshad_paddingr  r  fallbackrj   r  rX   )r  r  r   r  r   r  r  r  r  r  r  r  rY   r    st   




 
r  c                   s  d u sdksJ dssddgt | tsJ t |ts$J tdks,J tdks4J tdks<J t| dv sFJ |   | ^ }td|\}	}
td|\}}|  d pwd pw|
pw||  ^ }	
t| }| }t	fddt
d d D t	fddt
d d D  }|d	krt| ||S fd
d  	
fdd}tj|  |||d}|S )Nr   divisor must be not zeror%   r  r'   c                 3  r:  r;  r<  r=  r>  rX   rY   r   3  r?  z&avg_pool2d_backward.<locals>.<genexpr>c                 3  r@  rA  r<  rB  r>  rX   rY   r   7  r?  r
  c              	     sX  t d tj}t d tj}t d tj}t d tj}t d tj}t d tj}t t | ||}t t |||}	t t ||t t  tj|}
t t |	|t t tj|}t 	|t dtj}t 	|	t dtj}	t |
t  tj}
t |t tj}t t |
|t ||	}|S )z{
        This computes the scaling factor that we will divide an element
        by when `count_include_pad=False`
        r   r'   )
rH   r  rn   r  r  r+  r  r   r  r  )rL  rM  stride_hstride_wpad_hpad_wkernel_hkernel_wr  wstartr  wendr  )heightr  r  r  rT  rX   rY   !compute_pool_size_without_paddingJ  s,   

z>avg_pool2d_backward.<locals>.compute_pool_size_without_paddingc                   sR  | ^ }}}|d  }|d  }t t|d  
d  
d tj}t t|d  
d  
d tj}t t|
d d tj}t t|
d d tj}t |t dtj}t |t dtj}t |t tj}t |t 	tj}d }tD ]}	tD ]}
t 	|t |	tj}t 	|t |
tj}d ur}nssd d  }n ||}t 
g |t jt |t |t dtjddt jt |t |t dtj	dd|}t t ||t ||}|d u rt ||t dtj}qt |t 	|||}qq|d us'J |S )Nr   r'   Fr  r  )rH   r  r"   rn   r  r  r  r  r   r   r  rf  r  r  r  r  r  )r  r  r  rC  rE  rF  rG  rH  rI  rJ  rK  rL  rM  r  partr  )r  r  r  rO  rP  r  r  r  rQ  rR  r  rS  rX   rY   rj   f  sv     
	


*zavg_pool2d_backward.<locals>.fnr*  )r_   r9   r   r   r  r	  r   r]   r   r  r   fallback_avg_pool2d_backwardr6   r   ra   )rV  r   r  r  r  r  r  r  r   _h_outZ
ceil_mode1_w_outZ
ceil_mode2r  r   r  rj   r  rX   )r  r  r  rO  rP  r  r  r  r  rQ  rR  r  rS  rT  rY   avg_pool2d_backward
  sb   "Ar  c                   s  d u sdksJ ds	
sg d
t | tsJ t |ts$J t	dks,J tdks4J t
dks<J t| dv sFJ |   | ^ }td	
|\}	}
td	
|\}}td	
|\}}|  t
p|
p|p||  ^ }t| }|	 }	fdd	t
dD \  }|d
krt| |	
|S 	
fdd  	
fdd}tj|  |||d}|S )Nr   r  )r   r   r   r   )r   r   r'   r%   c                 3  s6    | ] t  fd dt  d D V  qdS )c                 3  s<    | ]}t |   t d |       dV  qdS r;  r<  r  )rd   r  r  rX   rY   r     r?  z0avg_pool3d_backward.<locals>.<genexpr>.<genexpr>r%   N)r  r   )r   r>  )rd   rY   r     s    
z&avg_pool3d_backward.<locals>.<genexpr>}   c              	     s  dd D \}}}dd D \}}}dd D \}	}
}dd t | ||g|||g|||gD \}}}dd t |||g|	|
|g g|||gD \}}}dd |||fD \}}}dd t |||g gD \}}}ttt||t||t||}|S )	Nc                 s      | ]
}t |tjV  qd S r   rH   r  rn   r  r  rX   rX   rY   r     r   zQavg_pool3d_backward.<locals>.compute_pool_size_without_padding.<locals>.<genexpr>c                 s  r  r   r  r  rX   rX   rY   r     r   c                 s  r  r   r  r   rX   rX   rY   r     r  c                 s  s*    | ]\}}}t t |||V  qd S r   )rH   r  r+  )r   r  r  padrX   rX   rY   r     s
    
c              
   s  s>    | ]\}}}}t t ||t t |tj|V  qd S r   )rH   r  r   r  rn   r  )r   r  r   r   r  rX   rX   rY   r     s    

c                 s  &    | ]}t |t d tjV  qdS r  rH   r  r  rn   r  )r   r  rX   rX   rY   r     
    
c                 s  *    | ]\}}t |t |tjV  qd S r   rH   r  r  rn   r  )r   r  r   rX   rX   rY   r     
    
)r   rH   r+  r  )pdrL  rM  Zstride_dr  r  Zpad_dr  r  Zkernel_dr  r  Zdstartr  r  Zdendr  r  r  )depthr  r  r  r  rT  rX   rY   r    s8   $z>avg_pool3d_backward.<locals>.compute_pool_size_without_paddingc                   sJ  | ^ }}}}dd t |||gD \}}}dd t |||gD \}}}dd t |||gD \}}	}
dd |||fD \}}}dd t ||	|
g	
gD \}}	}
d }tD ]}tD ]}tD ]}dd t |||g|||gD \}}}d ur}nssd d	  d
  }n |||}tg |tjt|t|td	tj		ddtjt|t|	td	tj	
ddtjt|t|
td	tj	dd|}t
t
t||t||	t||
}|d u rt||tdtj}qjt|t|||}qjqdq^|d us#J |S )Nc                 s  s    | ]	\}}|| V  qd S r   rX   )r   r   r  rX   rX   rY   r     rC  z2avg_pool3d_backward.<locals>.fn.<locals>.<genexpr>c                 s  s2    | ]\}}}t t|| | |tjV  qd S r   rH   r  r"   rn   r  )r   r   r   r  rX   rX   rY   r   !  s
    
c                 s  s,    | ]\}}t t||d  tjV  qdS r  r  )r   r   r  rX   rX   rY   r   &  s
    
c                 s  r  r  r  )r   pstartrX   rX   rY   r   +  r  c                 s  r  r   r  )r   ZpendZ
pooled_dimrX   rX   rY   r   /  r  c                 s  r  r   )rH   r   r  rn   r  )r   r  Zp_rX   rX   rY   r   ;  r  r   r'   r%   Fr  r  )r   r   rH   r  rf  r  r  r  rn   r  r  r  r  r  r   )r  r  r  r  rC  ZpdstartrE  rF  ZpdendrG  rH  rI  Zpd_rJ  rK  r  rL  rM  r  r  r  )r  r  d_window_sizer  rO  rP  r  r  r  pooled_depthrQ  rR  r  rS  rX   rY   rj     s    	

8zavg_pool3d_backward.<locals>.fnr*  )r_   r9   r   r   r  r	  r   r   r]   r   r   fallback_avg_pool3d_backwardr6   r   ra   )rV  r   r  r  r  r  r  r  rW  Z_d_outZceil_mode_dr  Zceil_mode_hr  Zceil_mode_wr   r  r   r  rj   r  rX   )r  r  r  r  r  rO  rP  r  r  r  r  r  rQ  rR  r  rS  rT  rY   avg_pool3d_backward  sf   &%Wr  c                 C  s   |   }t|tr|g}n|stt|}t|dkr*t|dv s(J d| g S t|}tt|D ]5}|| dk rL||  t|rHt|nd7  < d||   krZt|k sin t|dkrg|| dksiJ q4tt|t|ksxJ d|S )Nr   )rX   r  r  zinvalid axis: r'   zreduction axis not unique)r   r_   r   r   r   r   r]   r    )r   r  r   rd   rX   rX   rY   _validate_reduction_axis}  s    
 :r  c          
        s   |d ur	t | |} |  tt t| |}g }g g }g ttD ]}||v r7| ||  q$| ||  q$ fdd}r`t}	D ]}t	j
j|	|< qVn|}	|   t|  |po|  |  ||	|dS )Nc                   s   t |t ks
J rt  t ksJ  fddD  t  t ks)J d gt  t |  }tt t|D ]\}}|||< q@|S )Nc                   r  rX   rX   r   r#  rX   rY   r     r   z9_make_reduction_inner.<locals>.loader.<locals>.<listcomp>)r   r   r   r   )r  Zreduction_indexrw  r  varZinner_loaderkeepdimsZkept_idxZreduced_idxr   r#  rY   ry    s   
z%_make_reduction_inner.<locals>.loader)rg   r  rL  r)  r(  r   )r   r   r    r   r  r   r   rb   r]   r   r   r  r   r   ra   r   )
r   r  r  r   r  Z
kept_sizesZreduced_sizesrd   ry  r  rX   r  rY   _make_reduction_inner  s<   



r  r  rJ   c                   s   dd d fdd}|S )NFr   c                  sB   t | ||| d}tjd| d|}t|jjtr|  |S )Nr  r  r   r  )r  r  rX   )r  r7   r   r_   r`   r?  )r   r  r  r   r   r  r  r  rX   rY   r7    s   zmake_reduction.<locals>.innerr   rX   )r  r  r7  rX   r  rY   make_reduction  s   r  c                C  sB   |d ur	t | |} t| |}t|  |  f|  f|  |dS )N)rg   dtypes	inner_fnsr   r  )r   r  r   ra   r   r   r   )r   r  r   rX   rX   rY   _make_scan_inner  s   

r  r   c                  s   |d ur	t | |} |   t| |}|  }|tjtjfv r$t | tj} t| ||}t	 fdd|D }t
j||  |  d}t|t| }t t|||S )Nc                 3  r   r   rX   r   r   rX   rY   r     r   zmean.<locals>.<genexpr>r  )r   r   r  r   rn   r.  r-  r  sum_rF   r*   r0   ra   r/   r   r]   div)r   r  keepdimr   Zoutput_dtype
sum_resultdenomrX   r  rY   r    s   

r  c           
        s   |d u rd}|    t| |}t| |dd}|r|  tt| |}t|||}t fdd|D }|r>t	|| d}t
j||  |  d}t|t|  }t||}	|s^|	fS |rb|nt||}|	|fS )Nr'   T)r  c                 3  r   r   rX   r   r  rX   rY   r      r   z var_mean_sum_.<locals>.<genexpr>r   r  )r   r  r  r?  squarer  r  rF   r   r  r*   r0   r   ra   r/   r   r]   r  r  )
r   r  
correctionr  return_meanZx_meanZdiffsr  r  Zx_varrX   r  rY   var_mean_sum_  s&   

r  c                 C  sV   t | |}t| ||d d d}|d }t|d }t|tjo*t|tjk o*t|dkS )Nr  r(  r   r'   )	r  r  rF   r_   r   r8  r   r(   r%  )r   r  r  r   r(  reduction_numelrX   rX   rY   use_two_step_variance  s   


r  c                  s    d u rd t | ||d d d}|d}|d |d tjjd|fd|  d|\}}}	|  |  |  t| |}t	fdd	|D d
d  fdd}
t
|
|}|rj|  ||fS |fS )Nr'   r  r)  r  rL  Zwelford_reduce)r  r  r   c                 3  r   r   rX   r   r  rX   rY   r   3  r   z$var_mean_welford_.<locals>.<genexpr>c                 S  s4   t | tjr| jstt| tj|S t	| |S r   )
r_   r   r   Z	is_numberrH   r   r  rn   r  r  rk  rX   rX   rY   get_constant_or_index_expr5  s   z5var_mean_welford_.<locals>.get_constant_or_index_exprc                   s4    }}t d}| t |||  S rw  )rH   r  r  )r`   cNzero)r  r   r  rnumelrX   rY   r  :  s   

z#var_mean_welford_.<locals>.scale_fnrX   )r  r  r*   ZWelfordReductionr   r   r?  r   r  rF   r8  )r   r  r  r  r  r   ry  r  m2r   r  r  rX   )r  r   r  r  r   rY   var_mean_welford_  s6   




r   c                  s   |    t }t| |dd} t| ||||d}t| ||dr&tdi |ntdi |}t fdd|D }|s>|d S |S )	NFr[  )r   r  r  r  r  )r  r  c                 3  s    | ]
}t | d dV  qdS )Fr[  Nr'  r   r  rX   rY   r   X  r   z#var_mean_helper_.<locals>.<genexpr>r   rX   )r   r   r   r   r  r  r   r   )r   r  r  r  r  Zcompute_dtyper   r	  rX   r  rY   var_mean_helper_H  s    	r  )r  r  c                C  r  )NFr  r  r  r  r  r   r  r  r  rX   rX   rY   var_\     
r  c                C  r  )NTr  r  r  rX   rX   rY   var_meanc  r  r  c                 C  st   |dk rt t| | |S |dkrtd|S |dkr| S t | |d |}t||}|d dkr8t|| }|S )Nr   r'   r%   )pow_recursiverH   r  r  r+  )r   r
  r   r  rX   rX   rY   r  j  s   r  c                 C     t | |S r   )rH   powr   r  rX   rX   rY   
pow_nativey  r`  r  )r   c                   sV  t trtkrt tS t trdkrt S t tr,dkr,t S tdd  fD }t|}t toQd  k oIdk n  pQ|oQdk}|ro   fdd	}t	j
    |  d
S t  tr dkr}tdS  dkrt rtS |rt  trt S t trt S t S t S )Nr  r'   c                 s  s$    | ]}t |tjr| V  qd S r   )r_   r*   r9   r   r   rX   rX   rY   r     r  zpow.<locals>.<genexpr>i    r   c                   s   t |   S r   )r  r   r  r   r  ry  rX   rY   rj     rA  zpow.<locals>.fnr*  r%   )r_   r  r   r
  sqrtrQ  r  r   r   r6   r   ra   r   r   r   r  r   exp2fallback_pow_scalarfallback_pow_tensor_scalarfallback_pow_tensor_tensorr  )r   r  r   Zis_integer_powZembed_exponentrj   rX   r  rY   r
    s@   
"







r
  c                 C  s   t | tr	| j}n| }t |tr|j}t |tjs3tj|  |  |	 | 
 dj}t |tjs3J t |tjrR| sR| sRt |jtjsR|  |j|_| S tjj|||d | S )Nr*  unsafe_alias)r_   r9   r`   r*   r*  r6   r   ra   r   r   r   Zis_input_bufferZis_module_bufferZ	NopKernelr?  r  Zrealize_into)changedr  r  Zchanged_datarX   rX   rY   rW    s:   

rW  c                 C  s   t | t| |S r   )rW  r  )r   rJ  rX   rX   rY   r    rr  r  c                 C  @   | |u r| S t ||  }t||  }t||  }t| |S r   rp  ra   r   r   r  r   rW  )rb  rX  rn  rX   rX   rY   r       
r  c                 C  r	  r   )rH   floordivr  rX   rX   rY   r    r`  r  c                 C  r	  r   )rH   r  r  rX   rX   rY   r    r`  r  c                 C  s   t | ot |}t| ot|}|dkr(|rJ d|r!t| |S tt| |S |dkr@|r2J d|r9t| |S tt| |S t| |S )Nr  z5floordiv operands can not be boolean at the same timer  z5truncdiv operands can not be boolean at the same time)r   r   r  r  r  r  r  )r   r  Zrounding_modeZboth_integerZboth_booleanrX   rX   rY   div_mode  s   
r  c                 C  s8   t | ot |}|rt| |S ttjj}t|| |S r   )r   logical_andr4   rh  r+  rs  r8  )r   r  Z	both_boolrj   rX   rX   rY   r+    s
   
r+  r)  Optional[ir.Constant]c              	   C  s   t | tjrt| jS t | tjrt|  S t | tjr| S t | tjs'dS t	j
j|  }t|' ttjdd | j|   }W d   n1 sPw   Y  W d   n1 s_w   Y  t |t	j
jjsnJ t |jtjrx|jS dS )z:Try convert an arbitrary IR node into an ir.Constant valueNZallow_indexingT)r_   r*   Z
MutableBoxget_constant_valuer`   r  r  r   ZLoopsrn   Z	_inductorops_handlerZExtractConstantsHandlerra   rI   Zset_ops_handlerr   objectr  r)  Zinner_fn_argsvirtualizedZOpsValuer   )r   rw  rc   rX   rX   rY   r    s*   
 r  c                 C  s|   t dd | |fD }|rt| |S t| }d ur3|jdkr)ttd|j}nd|j }t| |S dd }t|| |S )Nc                 s  s     | ]}t |pt|V  qd S r   )r   r   r   rX   rX   rY   r   0  r&  zdiv_prim.<locals>.<genexpr>r   infr  c                  W  r  r   )rH   r  r   rX   rX   rY   rj   =  r  zdiv_prim.<locals>.fn)	r   r  r  r   mathcopysignr  r+  r8  )r   r  is_integralr  r  rj   rX   rX   rY   div_prim.  s   



r&  c                 C  s    t | |ftjd\} }t| |S r  )r  r   INT_TO_FLOATr&  r  rX   rX   rY   r  C  s   


r  c                 C  s4   t | pt| }|rdd }ndd }t|| |S )Nc                 S  r	  r   )rH   modr  rX   rX   rY   rj   U  r2  zfmod.<locals>.fnc                 S  r	  r   )rH   fmodr  rX   rX   rY   rj   Z  r2  )r   r   r8  )r   r  r%  rj   rX   rX   rY   r)  O  s
   
r)  c                C  B   t |  st|  r|d u rtj}td|d}|| |||dS )Nr  rP  r   r   r   r   rn   r  r  r   r  r  r   rj   rX   rX   rY   r  `     

r  c                 C     t |  st|  r|d u rtj}t|  dkr.|dv s!J |p&|  }t| |ddS dd }t| ||d}t	j
jd
i |d|i\}|d u rRt| ||d	S |S )Nr   r   r  Tr[  c                 S     | \}|\}t ||fS r   )rH   r   a_tupleb_tupler   r  rX   rX   rY   
combine_fn~     zcumsum.<locals>.combine_fnr  r   r4  r   r   rX   )r   r   r   rn   r  r   r   r   r  r*   Scanr   fallback_cumsumr   r  r   r4  r   r  rX   rX   rY   cumsumr  "   

r;  c                 C  r.  )Nr   r/  Tr[  c                 S  r0  r   )rH   r+  r1  rX   rX   rY   r4    r5  zcumprod.<locals>.combine_fnr6  r4  r7  rX   )r   r   r   rn   r  r   r   r   r  r*   r8  r   fallback_cumprodr:  rX   rX   rY   cumprod  r<  r>  c                 C  sv   dd }|   }t|  dkr|dv sJ t| S t| ||d}tjjdi |d|i\}|d u r9t| |dS |S )	Nc              	   S  s\   | \}|\}t ||}t ||}||kt | B }t |t t || | |fS r   )rH   r  r  r  r  log1pexp)r2  r3  r   r  Zmin_vZmax_vr  rX   rX   rY   log_add_exp_helper  s   $z(logcumsumexp.<locals>.log_add_exp_helperr   r/  r6  r4  r   rX   )	r   r   r   rQ  r  r*   r8  r   fallback_logcumsumexp)r   r   rA  r   r   r  rX   rX   rY   logcumsumexp  s   rC  c                      t |  dkr dv sJ t| t| tjdfS |  }tjd|dd}t	|  |d}|tjf|d< | 
  fd	d
f|d< tjjdi |d|i\}}|d u rXt|  dS ||fS )Nr   r/  r   r!  Fr   Zarg_break_ties_leftr6  r  c                      t |   tjS r   rH   r  rn   r  r  r  rX   rY   r        zcummax.<locals>.<lambda>r  r4  r   rX   )r   r   rQ  r]  rn   r  r   r*   get_reduction_combine_fnr  r   r8  r   fallback_cummaxr   r  r   r4  r   r   r  rX   rH  rY   cummax      
rM  c                   rD  )Nr   r/  r   argminFrE  r6  r  c                   rF  r   rG  r  rH  rX   rY   r    rI  zcummin.<locals>.<lambda>r  r4  r   rX   )r   r   rQ  r]  rn   r  r   r*   rJ  r  r   r8  r   fallback_cumminrL  rX   rH  rY   cummin  rN  rQ  c                C  r*  )Nr  rP  r   r+  r,  rX   rX   rY   r    r-  r  c                 C  s   t | tj} td| ||dS )Nr   r  r  )r   rn   r   r  r   r   r  rX   rX   rY   
reduce_any  s   rT  c                 C  2   |d urt | ||dt| ||dfS t | d |dS NrR  )reduce_amaxreduce_argmaxrS  rX   rX   rY   
reduce_max  
   rY  c                 C  rU  rV  )reduce_aminreduce_argminrS  rX   rX   rY   
reduce_min  rZ  r]  xor_sumr  r  r!  rP  rO  
logical_or)r4  r'  stabler   
descendingc          
   	   C  s:  |d u rd}|   }|  }tt||}t|dkr't| td|tj|fS t|r/|| nd}tj	j
|ttjjsFt| |||dS t|ddtj|dd}dgt| }t|r`|||< t||}t||}tjj|| j|jf|  | f||||d\}	}|	d u rt| |||dS |d usJ |	t|tjfS )NFr   r'   r`  )r  r  r   rg   r!  )rg   r  r  r   r  ra  rb  )r   ra   r   r   rQ  rK  rn   r  rI   rP   r  Zstatically_known_ltrf  int16r  sort_fallbackr"  ri  r  r*   ZSortr   r   r   r   )
r   ra  r   rb  r  rg   ri  r  Z
view_shaper   rX   rX   rY   sort_stable  s>   



	re  c                 C  s   t | d||dS )NFr`  )re  )r   r   rb  rX   rX   rY   sortF  rr  rf  c                 C  s   t | |tj|dS )Nr   r   r6  )rt  r   r'  )rS   r   r6  rX   rX   rY   register_pointwise_numericK  s   rh  rS   torch._ops.OpOverloadPacketc                 C  s   t | j t| tjdS r  )rE   rs  rt  r   r'  r?  rX   rX   rY    register_pointwise_numeric_ldf64T  s
   
rj  r  logical_not)r'  )r   r   r  identity)r=  pointwise_overrides_datac                 #  s    t |  t|  jd }|d u rd S  fdd}t|tjjr6| D ]}t||}| j||fV  q#d S | j||fV  d S )Nc                   s    j d u r	t| S d S r   )Ztritonr^  r?  r:  rX   rY   make_triton_fallback  s   
z6_get_pointwise_overrides.<locals>.make_triton_fallback)	rm  r   r   r_   rn   ro   r   r   r   )nsr   rS   rn  Zolnamer  rX   r:  rY   _get_pointwise_overrides  s   
rp  rg  c                   s,   | t |< t|   fdd}t| | d S )Nc                    sB    | i |}g }t | d |D ]\}}|t||dd q|S )Nr   Tr  )r   rb   rW  )re   r   resultsZmut_resultsr   r  outplace_oprX   rY   rj     s
   z$register_foreach_inplace.<locals>.fn)rO   r;  r   r   )aten_opZoutplace_aten_oprs  rj   rX   rr  rY   register_foreach_inplace	  s   
ru  c                   s   t | d d fdd}|S )NrS  c                    s.    | i |}t || d  }t| d |S rw  )r   r   rW  )re   r   r  rr  rX   rY   rj   -  s   zregister_inplace.<locals>.fn)r   )rt  rs  rj   rX   rr  rY   register_inplace,  s   
rv  c                 C  rD  r   rX   r  rX   rX   rY   sym_constrain_rangeV  r  rw  c                 C  &   t jjjd }t|tjsJ |jjS Nr  	rI   rP   rQ   r/  r_   rn   r  rV   r  r   r   r  rX   rX   rY   sym_size[  s   r|  c                 C  rx  ry  rz  r{  rX   rX   rY   
sym_stridel  s   r}  c                 C  s   |   S r   )ri  )r   rX   rX   rY   	sym_numelt  r  r~  c                 C  r  r   )r   Addr   rX   rX   rY   sym_sum}  s   
r  c                 O  r  )NzHelpful for debuggingrz   )r  re   r   rX   rX   rY   foobar  r  r  c                 C  s   |    t| S r   )r?  rQ  r   rX   rX   rY   _realize  s   r  c                 C  s   |    t| | | S r   )r?  r*   ZResizeStorageBytes)variabler  rX   rX   rY   resize_storage_bytes_  s   r  c                 C  s"   |    |   tt| |S r   )r?  r9   r   r*   ZSetSourceTensorKernel)r  Zsource_tensorrX   rX   rY   set__source_tensor  s   r  c                 C  r  r   r  )rb  rX  rX   rX   rY   
fsdp_copy_  r  r  c          	        sv  t | tsJ t |ttfsJ |d u rtj}|tjkr#td| |tjkr0t	|dks0J |tj
kr=t	|dks=J |  |  }|  }t | jtjrV| j | _t rvtjjjrvt|rhtdqxt|rst|jqxdndtjjdrt|||dS t | gd	g}|!  tj"#||}t$||||%  fd
d}t&j'|||t|d}|S )Nzunsupported memory format: r   r   nanTr  r   r  r'   c                   sH   |  t  tj}t tj}t ||}t | fddS )Nc                     s
    gS r   rX   rX   )
flat_indexflat_loaderrX   rY   r    s   
 z*resize.<locals>.inner_fn.<locals>.<lambda>)rH   r  rn   r  r  r  )r  Zflat_index_exprlimitr  r  Z	old_numelZout_indexerZuninitalized_val)r  rY   r)    s
   zresize.<locals>.inner_fnr*  )(r_   r9   r]   r   rn   Zcontiguous_formatZpreserve_formatr  Zchannels_lastr   Zchannels_last_3dri  r   r  r`   r*   r  r  r  utilsZdeterministicZfill_uninitialized_memoryr   r  r   rf  r  rI   rP   r  r  re  r  r   r  Z stride_ordered_for_memory_formatr  r  r6   r   )	r   r   r  r   rg   Zx_flatZ
out_strider)  rc   rX   r  rY   resize  sT   



	r  )auto_functionalizedc                 C  sB   ddl m} ||}tj| ||i ||d dd | D S )Nr   )kernel_side_table)
kernel_idxgridtma_descriptor_metadataZkernel_argsc                 S  s    i | ]\}}t |tr||qS rX   r   )r   r  r  rX   rX   rY   r     rN  z'triton_kernel_wrap_.<locals>.<dictcomp>)*torch._higher_order_ops.triton_kernel_wrapr  Zget_constant_argsr*   ZUserDefinedTritonKernelr   )r  Zconstant_args_idxr  r  r   r  Zconstant_argsrX   rX   rY   triton_kernel_wrap_  s   	

r  c                 C  sj   t dd | g|D r$d}tjjjdd  }r | d| }|tj_tj	| |||}t
ttj	|S )Nc                 s  r  r   r  r   rX   rX   rY   r     r  zcond.<locals>.<genexpr>z"control flow operator: torch.cond.stack_trace Found from : 
 )r   rI   rP   rQ   r/  r0  disable_cudagraphs_reasonr*   ZConditionalr   r]   mapr9   )predZtrue_fnZfalse_fnoperandsr}   r  r  rX   rX   rY   r|     s   r|   c                 C  sp   t dd || D r#d}tjjjdd  }r| d| }|tj_d
dd	}tj	| |||}t
t||S )Nc                 s  r  r   r  r   rX   rX   rY   r     s
    
zwhile_loop.<locals>.<genexpr>z(control flow operator: torch.while_loop.r  r  rc   r   c                 S  sJ   t | tr| S t | tjrt| S t | tjrt| S tdt|  )NzNYI unsupported output type: )r_   r9   r*   r*  MultiOutputr   r  r1  )rc   rX   rX   rY   _map_output  s   

zwhile_loop.<locals>._map_output)rc   r   )r   rI   rP   rQ   r/  r0  r  r*   Z	WhileLoopr   r]   r  )Zcond_fnZbody_fnZcarried_inputsadditional_inputsr}   r  r  r  rX   rX   rY   
while_loop  s   

r  subgraph_fnir.Subgraph
identifierc                 G  s$   t jj| g|R  }tttj|S r   )r*   ZInvokeSubgraphr   r]   r  r9   )r  r  r  r  rX   rX   rY   invoke_subgraph)  s   r  )schemec          
      G  s   d }t jjjdd }|d usJ t| jjjD ]Y\}}|jdkr*|| t jj	|< q|jdkrgt j
|\}}t|| D ]}	|	  |jrQt jj|	  t jj|	  q?tjjt j|||}qt j|t jj	|< q|S )Nquant_optionsr  r	  )rI   rP   rQ   r/  r0  r^   rV  nodesrS   envZfetch_args_kwargs_from_envr   r   r   r?  Zcodegen_low_precisionZlow_precision_codegen_opsr   r@  Zinvoke_quant_opsrn   r  ZInterpreterr	  Zrun_node)
r  r  r  r	  r  rd   rV   re   r   r   rX   rX   rY   invoke_quant_tracer/  s"   

r  r4  r  tuple[torch.Tensor]c                   s   ddl m m} t|dkrtd fddt||D }|| |fdd}t|d dd d	}td
d |D |d< tdd |D |d< t	j
jd|dd|}|d d u r_td|S )Nr'   )InputDescriptorlower_pointwise_subgraphr   zSUnable to generate code for associative_scan op, because there are lifted argumentsc                   s    g | ]} |  | d qS )r  )r   ra   r   )r  rX   rY   r   W  s    z$associative_scan.<locals>.<listcomp>c                   s    g t | t |R  S r   )rr  r  )lhsrhs)lowered_combine_fnrX   rY   wrapped_combine_fn]  s
   z,associative_scan.<locals>.wrapped_combine_fnr6  c                 s      | ]}|  V  qd S r   rp  r   rX   rX   rY   r   d  r   z#associative_scan.<locals>.<genexpr>r  c                 s  r  r   r  r   rX   rX   rY   r   e  r   r  F)r4  Zcan_fallback_to_atenz/Unable to generate code for associative_scan oprX   )rU  r  r  r   r  r   r   r  r   r*   r8  r   )r4  Zxsr  r  Zsubgraph_inputsr  r   r  rX   )r  r  rY   associative_scanL  s,   


r  c                 C  rD  r   rX   )tokensrX   rX   rY   _sink_tokensp  r  r  c                 O  s   t jj|g|R i |}ddlm} ||||}|d usJ tjj| }|d u r,|fS t	t j
tj|}t|ts>||fS |g|R S )Nr   )get_effect_key)r*   ZEffectfulKernelr   Ztorch._higher_order_ops.effectsr  rI   rP   Zeffectful_opsrr  r  r  r9   r_   r   )tokenrS   re   r   r  r  Zeffect_typeZeffectful_kernelrX   rX   rY   with_effectsu  s   
r  )register_comm_loweringsc                 C  s   t | |dddd}|d }tjjt|}tjjdi |d|d\}}|dkrFtjj	|t
jkrFtjd| d|d	|\}}||fS ttd
 t| |dd}	ttj t| |	}
t|
|dd}|	|fS )zn
    Lowering inductor_prims.prepare_softmax_online to compute max/sum in one pass if no split is needed.
    TNr  r   Zonline_softmax_reduce)r  r  r'   r%   )r  Z
num_outputZreduction_hintz
            Online softmax is disabled on the fly since Inductor decides to
            split the reduction. Cut an issue to PyTorch if this is an
            important use case and you want to speed it up with online
            softmax.
            )r  rX   )r  rI   rP   r  simplifyrF   r*   r7   Z
num_splitsr  r(   r%  r3   r   ry  rz  textwrapdedentrW  rM   rh  r@  r  r  )r   r   r   r   r  hintZ	num_splitZ
max_tensorZ
sum_tensorr  r@  ZxsumrX   rX   rY   prepare_softmax_online  s<   



r  ru  )quantized_lowerings)mkldnn_lowerings)jagged_loweringsc              	   c  st    t | tjjsJ dt| }zt| t|  dV  W |r&|t| < dS t|  dS |r4|t| < w t|  w )z^
    A context manager to force fallback an op. Used in unit test
    for FallbackKernel.
    z+Only OpOverload to make the clean up easierN)	r_   rn   ro   rp   rM   r0  r   r^  r  )rS   Zold_handlerrX   rX   rY   force_fallback  s   

r  )r[   r\   )rj   rk   rl   rm   )r   r   )r   r   )re   r   r   r   r   r   r   r   r   r   rl   r   )r   r   )r   r   rl   r   )NN)NNNFN)F)r   r9   r   rK  )r   r9   rg   ro  r   )r   r   r  r'   Tr  )rB  r9   r  r9   r  r9   r  r   r  r   r  r   r   rK  rl   r9   )rB  r9   r  r9   r  r9   r  r   r  r   r  r   r   rK  r  r  rl   r9   )rB  r9   r  r  r  r   r  r   r  r   r   rK  rl   r9   )rB  r9   r  r  r  r   r  r   r  r   r   rK  r  r  rl   r9   )rB  r9   r  r9   r  r9   r  r   r  r   r   rK  rl   r9   )rB  r9   r  r9   r  r9   r  r   r  r   r   rK  r  r  rl   r9   )r   r   r'   )rH  r   rI  r   rJ  r   r  )T)rh   r|  )rV   r  )NTF)rg   ro  )r   r  r  r9   r  r  rH  r   )
r  r   r  r   r   r  r  r9   rH  r   )r  r9   rl   r  )r  r9   rl   r  )r  r9   r  r9   r  r   r  r   r  r  r  r  rl   r9   )rB  r9   r  r9   r  r   r  r   )r   r   r  r   )r   NNr'   )NNN)r  FF)r   r   )r  r<  r   r   r  r  r  r   )r   r   r  r  )r   r   r  r   )r%   F)r  r  r  r   r  r   )r  r  )r  r  r  r  )r  r  r  r  r  r  )r   r9   r  r  rJ  r  rl   r  )rd   r  r  r  )rd   r  r  r  )rd   r  r  r  r  r  )Nr  N)
r"  r9   r  r'  r(  r'  r)  r*  rl   r9   )Nr   r'   F)r  )NNNN)rX   r   FTN)r  rJ   r   )r   r)  rl   r  )r  F)rS   ri  )r  r  r  r  )r  r  )r4  r  r  r  rF  (  
__future__r   
contextlibr^  r   r   loggingr#  r  r  r  ry  collectionsr   collections.abcr   r   typingr   r   r   r	   r
   r   r   Ztyping_extensionsr   Zunittest.mockr   r   rn   Z$torch.ao.quantization.fx._decomposedZtorch.fxZtorch.utils._pytreer  Z_pytreerr  Ztorch._dynamo.utilsr   Z(torch._higher_order_ops.associative_scanr   r  r   Ztorch._prims_commonr   r   r   r   r   r   r   r   r   r   r   Ztorch.fx.experimental.sym_noder   r   r>  r   Ztorch.utils._ordered_setr    Ztorch.utils._sympy.functionsr!   r"   r#   r$   Z_dynamo.utilsr&    r(   r)   r*   r+   decompositionr,   r-   r.   r/   r0   r1   r2   r3   r4   r5   r6   r7   r8   r9   r:   r;   r<   r=   r>   r?   r@   rA   rB   rC   rD   rE   rF   rG   r!  rH   rI   r  rJ   rK   rL   ZFALLBACK_ALLOW_LIST	getLoggerrs  r  rM   __annotations__rN   ro   rp   r   rh  Ztr_c10dr_  r   Z_higher_order_opsrX  rU   r;  rO   Zquantized_decomposedrZ   ri   rr   ry   r~   r   r   r  r  r  r  ZbmmZconvolutionZconvolution_backwardr6  r9  rY  r  r  r  Z_int_mmr$  r#  rc  r  r  r.  r  r  Z	complex32Z	complex64r   r-  r   r   r   r   r   r   r   r   r   r   r  r   r  r  r8  rJ  r   r`  rc  rj  ri  r   rl  rp  Z
device_putrq  rt  r  r  r  r   aliasdetachZdetach_ZliftZview_ofr  r   r  r  r  r  r  r  r  r  r  ra  r  r  r  r  r  Z_unsafe_viewZreshaper  slicer  r  r  Zquantize_per_channelr  Zdequantize_per_channelr  Zquantize_per_tensorr  Zdequantize_per_tensorr  r  r  r!  r=  rS  rT  rY  r[  r^  r_  rc  rk  r  rm  r  rp  r^  cacher{  r~  r  r  r  r  Zrngprimsr  r  r  Z	bernoullir  r  r  	lru_cacher  r  r  r  r  r  r  r  r  randintZforce_stride_orderr  r  r  r  r  Zlookup_seedr  randomr  r  r  r  r  r  r  Z	NO_OPMATHr  r  ru   rG  r   rt   rv   r  Z_adaptive_avg_pool3dZadaptive_max_pool3dZ*_scaled_dot_product_attention_math_for_mpsuniformZexponentialZ_pdist_forwardZsoft_margin_loss_backwardZ_fused_rms_normZxpuZis_availableZembedding_dense_backwardZ_cdist_forwardZ_cdist_backwardZ
_trilinearZsegment_reduceZ_segment_reduce_backwardZhistcZ	histogramZbin_ctZ_histogramdd_bin_edgesZ_histogramdd_from_bin_ctsZaddbmmZ_addmm_activationZ_grouped_mmZ
_cudnn_rnnZ_cudnn_rnn_backwardZ_embedding_bagZ_embedding_bag_forward_onlyZ_embedding_bag_backwardZ*_embedding_bag_per_sample_weights_backwardZ_fused_moving_avg_obs_fq_helperZ*_fused_moving_avg_obs_fq_helper_functionalZ max_pool3d_with_indices_backwardZ_adaptive_avg_pool2d_backwardZ_adaptive_avg_pool3d_backwardZadaptive_max_pool2d_backwardZadaptive_max_pool3d_backwardZfractional_max_pool2d_backwardZfractional_max_pool3d_backwardZreplication_pad1d_backwardZreplication_pad2d_backwardZupsample_linear1d_backwardZupsample_bicubic2d_backwardZupsample_trilinear3d_backwardZgrid_sampler_2d_backwardZ_pdist_backwardrf  ra  ZkthvalueZtopkr  ZmedianZ	nanmedianr  Zresize_Z
resize_as_Z_linalg_detZlinalg_householder_productZlinalg_inv_exZlinalg_ldl_factor_exZlinalg_ldl_solveZ	linalg_luZlinalg_lu_factor_exZlinalg_lu_solveZlinalg_matrix_expZ	linalg_qrZ_linalg_slogdetZ_linalg_solve_exZlinalg_solve_triangularZ_linalg_svdZ	lu_unpackZormqrZ_linalg_check_errorsZlinalg_pinvZatol_rtol_tensorZ_linalg_eighZtriangular_solveZlinalg_cholesky_exZcholesky_inverseZcholesky_solveZgeqrfZ_fft_r2cZnonzerogcdZ_thnn_fused_lstm_cellZ_primsZ	rng_primsZrun_and_save_rng_stateZrun_with_rng_stateZgraphsafe_run_with_rng_stateZmasked_scatterZmasked_scatter_backwardr  ZangleZ_efficientzerotensorZ(_sparse_coo_tensor_with_dims_and_tensorsZ	to_sparseZ
_to_sparser   rO  r  r  Z#_scaled_dot_product_flash_attentionZ,_scaled_dot_product_flash_attention_backwardZ#_scaled_dot_product_cudnn_attentionZ,_scaled_dot_product_cudnn_attention_backwardZ+_scaled_dot_product_flash_attention_for_cpuZ4_scaled_dot_product_flash_attention_for_cpu_backwardZ0_scaled_dot_product_fused_attention_overrideableZ9_scaled_dot_product_fused_attention_overrideable_backwardZ_flash_attention_forwardZ_flash_attention_backwardZ_efficient_attention_forwardZ_efficient_attention_backwardZindex_reducerR  rQ  r  r  r"  r&  r+  r,  Zscalar_tensorr9  Z
LongTensorr;  rC  rE  rF  rK  r  rN  r  rM  r  r]  r  Z
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  ZTensor_Tensorr  ZScalarr  ZTensor_Scalarr  rW  r  r  r  r  r  r  r+  r  r&  Ztrue_divider'  r)  r  r  r;  r9  r>  r=  rC  rB  rM  rK  rQ  rP  r  r   rT  r  rY  r  r]  r^  r  rW  r  r[  r!  rX  rO  r\  r   rd  re  rh  rj  Zrsqrtr@  r  expm1Zreluro  r  r  r  cossinabsZbitwise_andZbitwise_left_shiftZbitwise_notZ
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