
    rh                   p   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
Z
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"c m#Z$ d dl%m&Z& d d	l'm(Z( d d
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<    e=ej                  j                            Zwej                  j                  Zxej                  j                  Zyej                  j                  Zz e=ej                  j                            Z{ e=ej                  j                     ej                  j                  g      Z~ e=ej                  j                            Zi Zd!esd"<   ej                  j                  Zd# Zd_d$Zd`d%Zd& Zd' Zd( Zd) Z eexj                  exj                  exj                  exj                  exj                  exj                  exj                  exj                   exj"                  exj$                  exj&                  exj(                  exj*                  exj,                  g       ej.                  ej0                  ej2                  ej4                  ej6                  ej8                  ej:                  ej<                  ej>                  ej@                  ej>                  ejB                  ejD                  d*Zdad+Zd, Zd- Zdbd.Zd/ Zd0 Z	 	 	 	 	 	 	 	 	 	 	 	 dcd1Zd2 Z	 	 ddd3Zd4e1jZ                  d4erf	 	 	 ded5Zd6 Zdfd7Z	 	 	 	 	 dgd8Zdhd9Zdhdid:Z eej                  j                  d;      d<        Z} eezjh                  d;      did=       Zd4d>did?Z eexjn                  jp                  d;      did@       Zd4d4dAdjdBZ eezjv                  d;      dhdjdC       ZddDe1jZ                  d4ddd4dfdEZdF Z e        	 dhdGZ eexj                  d4dH      dI        Z eexj                  d4dH      dJ        Z eexj                  exj                  exj                  exj                  ezj                  g      dK        Z eexdL      r  eexj                        eǫ        eexj                  d;      dkdM       Z eexj                  d;      dkdN       Z eexj                  g      dkdO       Z eexj                        dP        Z eexj                        dQ        Z eexj                        dR        Z eexj                        dS        Z eexj                  j                        dT        Z eexj                        dU        Z eexj                  d;      dV        Z eezj                  d;      dW        Z eexj                  d;      dX        Z eexj                        dY        Z eexj                  d;       eexjn                  d;       eexj                  d;      dZ                      Z eexj                  d;      d[        Z eexj                  d;      dld\       Z eexj                  d;      dkd]       Z eexj                  d;      dkd^       Z eexj                  d;      dkd_       Zdmd`Z eej                  d;      	 	 	 	 	 	 	 	 	 	 	 	 	 	 	 	 dnda       Z eej                  d;      ddb	 	 	 	 	 	 	 	 	 	 	 	 	 	 	 	 	 dodc       Z eej                  j                  d;      	 	 	 	 	 	 	 	 	 	 	 	 	 	 dpdd       Z eej                  j                  d;      ddb	 	 	 	 	 	 	 	 	 	 	 	 	 	 	 dqde       Z eej                  j                  d;      	 	 	 	 	 	 	 	 	 	 	 	 	 	 drdf       Z eej                  j                  d;      ddb	 	 	 	 	 	 	 	 	 	 	 	 	 	 	 dsdg       Z eexj                        dmdh       Z eexj                  d;      dtdudi       Z eexj                  d;      dtdudj       Z eexj                  d;      dtdudk       Z eexj                  d;      dl        Z eexj                  d;      dmdm       Z eexj                  d;      dmdn       Z eexj                  d;      dmdo       Z eexj                  d;      dp        Z eexj                  d;      dq        Z eexj                  d;      dr        ZdmdsZ eexj                        dvdu       ZdwdvZej                  dw        ZdkdxdxZdkdxdyZdwdydzZdzd{Zd| Z eej                  j                  j                   d;      d}        Z  eexj                  d;      d~        Z eexj                  d;      d        Z eexj                  j                  d;      d        Z eexj                        d        Z ej                  d      d        Zd Z	 eexj                  j                        Z eexj                  j                        Z eexj                  j                        Z eexj                  j                        Z eexj"                          eexj                        d        Z
 eexj                        d        Z eeGj$                  d;      d        Z eeGj(                  d;      d{d       Z eeGj,                  d;      d        Z eeGj0                  d;      d        Z eeGj4                  d;      d dd|d       Z eeGj"                  d;      d d	 	 	 	 	 	 	 	 	 d}d       Zd~dZddZ eexj>                  j@                  d;      d4d4ddd	 	 	 	 	 	 	 	 	 	 	 	 	 dd       Z eexjB                  e1jD                  ;      d4d4d	 	 	 	 	 	 	 dd       Z!d Z#d Z$d Z%d Z&d Z'd Z(d Z)d Z* eexjV                          eexjX                          eexjZ                          eexj\                  d4        eexj^                  j                  d4        eexj`                          eexjb                  d4        eexjd                  d4       ejf                  ji                         r eexjj                  d4        eexjl                          eexjn                          eexjp                          eexjr                  j                          eexjt                  j                          eexjv                          eexjx                  jz                          eexj|                  j                          eexj~                  j                          eexj                          eexj                  d4        eexj                  e#        eexj                  e)        eexj                  e#        eexj                  e$        eexj                  e$        eexj                  e$        eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                  e#        eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                  e$        eexj                          eexj                  e#        eexj                          eexj                          eexj                  j                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                  j                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                          eexj                  j                          eexj                  j                  d4        eexj                  e#        eej                   j                  j                          eej                   j                  j                          eej                   j                  j                          eexj
                          eexj                          eexj                  e$        eexj                          eexj                          eexj                          eexj                          eexj                          eexj                  j                          eexj                  j                  e*d4        eexj                   j                  e*d4        eexj"                  j                  e*d4        eexj$                  j                  e*d4        eexj&                  j                  e*d4        eexj(                  j                  e*d4        eexj*                  j                  e*d4        eexj,                  j                  e*d4        eexj.                  j                  e*d4        eexj0                  j                  e*d4        eexj2                  j                  e*        eexj4                  j                  e*        eexj6                  j                  e*        eexj8                  j                  e*        eexj:                          eexj<                  d;      dhd       Z eexj>                        ddd       Zd Z eexd      r  eexjB                        e        eezjD                        d        Z eexjF                  d;      dd       Z eexjH                  d;      dd       Zd Z eej                  exjL                  g      dddd4dd       Z eejN                        dfd       Z eejP                        d        Z eexjT                        d        Z eexjV                        d        Z eexjX                        	 ddddd       Zd Z eexj\                  d;      d        Zd Z eej`                  exj`                  g      dddddddd       Zd Zd Z  eexjf                         ee            Z e ed            Z e ed             Zd Z eexjn                        dddddd       Z eexjp                        dddddd       Z eexjr                        dddddd       Z eezjt                  j                        d        Z eejv                  exjv                  g      d        Z eexjx                  d;      dhd       Z eexjz                  d;      dd       Zd Z	 dwdZd ZdwdZ eexj                  d;      d        Z eexj                  d;      d        Z eexj                  d;      dhdÄ       Z eexj                        dhdĄ       Zdń ZdƄ Z eexj                  d;      dhdǄ       Z eeGj                  d;      dhdȄ       ZɐdhdɄZ eexj                  j                  d4ʫ      Z eexj                  j                  d4ʫ      Z eexj                  d;      d˄        Z eexj                  d;      d̄        Zed̈́        Z eexj                  d;      dkd΄       Z eexj                  d;      ddτ       ZddDdМ	 	 	 	 	 	 	 ddфZ eexj                  d;      ddҜddӄ       Z eexj                  d;      ddԄ       Z eexj                  d;      ddՄ       Z eexj                  d;      ddք       Z eexj                  d;      dDdלdd؄       Z	 	 d	 	 	 	 	 ddلZ eexj                  j                        dkddڄ       Z eexj                  j                        dkddۄ       Z eexj(                  j                        	 df	 	 	 dd܄       Z eexj*                  j                        	 df	 	 	 dd݄       Z eexj                  j                        	 	 	 d	 	 	 	 	 ddބ       Z eexj                  j                        	 	 	 d	 	 	 	 	 dd߄       Zd Z eezj                  j                        d        Z	 	 	 	 	 	 	 	 ddZ eexj                  d;      dmd       ZddZddZddZ	 ddZdddZd ZdddZd Z eezj                  d;      	 dhd       Z	 	 	 	 	 	 	 	 	 	 ddZ eezj                  d;      d        Zd Z eexj                   d;      	 	 	 	 dd       Z eexj"                  d;      	 	 	 	 dd       Z eexj$                  j                  d4ʫ      Z eexj$                  d;      d        ZddZd Zd Zd Z eexj                  j                  d4ʫ      Z eexj                        d        Z eexj                  j                  d4ʫ      Z eexj                        d        Zd Z eexj                        d        Z eexj                        d        Zd Z eexj                  j                        	 dd       Z eexj                  j                  d4ʫ      Z eexj                  j                  d4ʫ      Z eexj                  d;      	 	 	 	 	 dd        Z eexj                  d;      	 	 	 	 	 dd       Zd Z eexj                  j                  d4ʫ      Z eexj                  d;      	 dkd       Z eexj                   j                  d4ʫ      Z eexj                   d;      	 dkd       Z d Zd ZdkddZd Z eexj                        ddd	d
       Zd Zd Zd Z	d Z
 eexj                  ezj                  g      dkdd4dd       Z eexj                        dkdd4dd       Zd Zed        Z eexj                   j"                  d4ʫ      Z eexj                   j&                  d4ʫ      Z eexj                   j*                  d4ʫ      Z eexj                   dD      d        ZdhdZ eexj0                        d        Z eexj2                  d;      dhd       Zed        Zed        Z eexj8                  dD      dkd       Z eexj<                  gdD      d        ZddZ eezj8                  gdD      d        Z  eexjB                  exj8                  j@                  gdDe1jD                  H      d        Z eexjF                  ezjF                  gdD      d 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                  j                  eM        eexj                   j&                  eM        eexj"                  j                  ee        eexj$                  j                  eP        eexj&                  j&                  e        eexj&                  j                  e        eexj&                  j(                  e        eexj*                  j                  e      Z eexj*                  j@                  e        eexj*                  j&                  e      Z eexj0                  eK        eexj2                  eE        eexj4                  j                  ea        eexj4                  j&                  ea        eexj6                  j                  eb        eexj6                  j&                  eb        eexj8                  j                  ea        eexj8                  j&                  ea        eexj:                  j                  eb        eexj:                  j&                  eb        eexj<                  ef        eexj>                  eh        eexj@                  e       d@ Z eexjD                  j                  exj                  j                  e        eexjD                  j&                  exj                  j&                  e        eexjF                  j                  exj                  j                  e        eexjF                  j&                  exj                  j&                  e        eexjH                  j                  exj*                  j                  e        eexjH                  j&                  exj*                  j&                  e       dA Z eexjL                  e@        eexjN                  eQ        eexjP                  eR        eexjR                  eS        eexjT                  eT        eexjV                  eU        eexjX                  eV        eexjZ                  e        eexj\                  j@                  e        eexj\                  j^                  e        eexj`                  e]        eexjb                  e^        eexjd                  e_        eexjf                  e`        eexjh                  eM        eexjj                  eI        eexjl                  eJ         eexjn                        eQ         eexjp                        eR         eexjr                        eT         eexjt                        eU         eexjv                        eV        eexjx                  exjn                          eexjz                  exjp                          eexj|                  exjr                          eexj~                  exjt                          eexj                  exjv                          eexj                        dfdB       Z eexj                  j                        dC        Z eexj                  j                        dD        Z eexj                        dE        Z e8j                         D ]  \  ZǐZ  e e9eǫ            eȫ         eej                        dF        Z eexj                        dG        Z eej                  j                  j                        dH        Z eej                  j                  j                        dI        Z eej                  j                  j                  j                        dJ        Z eej                  j                  dK      r; eej                  j                  j2                  j                        dL        Z eej                  j                  j                        dddM       Zd dNl֐mאZ  ee׫        ee*      dO        Z eej                  j                  j                  d;      dP        Z eej                  j                  j                  d;      dQ        Z eej                  j                  j                  d;      ddR       Z eej                  j                  d;      ddSddT       Z ee(d;      	 	 	 	 ddU       Z eej                  j                  j                  j                        dV        Z eej                  j                  j                  d;      dW        ZddXlmZ  e         eeGj                  d;      dY        ZddZlEmZ  eDe       dd[lEmZ  ej                           ej                          dd\lEmZ  ej                          dd]lEmZ  ej                          ej                  dd^       Zy(      )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                     t         j                  j                  j                  D ]7  } | j                  D ]&  }|j                  dk(  r|j
                  t        v r%  y 9 y)Ncall_functionTF)rJ   graphcurrent_nodeusersoptargetforeach_ops)nodeusers     k/var/www/html/ai-insurance-compliance-backend/venv/lib/python3.12/site-packages/torch/_inductor/lowering.pycur_node_has_non_foreach_usersr\   x   sS    $$** JJ 	DGG.DKK;4N	
     c                f   t        t              }d}t        |       D ]  \  }}t        |t              sd}|f}t        |  xs t        j                  }d }|D ].  }t        |t              s|j                  j                         } n |J d       |r|\  }|||f   j                  ||f        |S )NFTz.foreach op should have at least one tensor arg)r   list	enumerate
isinstancer   r?   r)   #combo_kernel_foreach_dynamic_shapesr:   data
get_deviceappend)	arg_pairsoutunpack_argsiargsuse_foreachdevicets           r[   group_foreach_argsrn      s    
d
CKY' 54$)K7DD!!OV%O%O 	  	A!Y'**,	 !S#SS!GTV[!"))1d)45  Jr]   c                p    t        | t        j                  j                        sy| t        v r	t        |    S y)zHGet layout constraints. Returns None if there are no layout constraints.N)ra   torch_ops
OpOverloadrO   )fns    r[   maybe_layout_constraintsrt      s0    b%**//0	&&(,,r]   c                |   | t         j                  j                  j                  k(  rt        S | t         j                  j                  j
                  k(  rt        S | t         j                  j                  j                  k(  rt        S | t         j                  j                  j                  k(  ry t        d|        )NzUnknown layout constraint tag: )rp   _CTagneeds_exact_stridesconstrain_to_fake_tensorsneeds_contiguous_stridesrequire_contiguous_stridesneeds_fixed_stride_orderconstrain_to_fx_stridesflexible_layoutAssertionError)tags    r[   tag_to_layout_constraintr      s    
ehhll...((
ehhll333))
ehhll333&&
ehhll***
:3%@
AAr]   c                $    | st        d|       y )Nzinductor does not support NotImplementedError)condmsgs     r[   
assert_nyir      s    !$>se"DEE r]   c                N    t         t        t        t        t        f      r D cg c]  }t        |       c}S t        j                          t         t        j                  j                        r-t        j                   fd j                         D               y y c c}w )Nc              3  6   K   | ]  }t        |        y wN)getattr).0overloadrs   s     r[   	<genexpr>z,add_needs_realized_inputs.<locals>.<genexpr>   s      %
&.GB!%
   )ra   r_   settupler!   add_needs_realized_inputsneeds_realized_inputsaddrp   rq   OpOverloadPacketupdate	overloads)rs   xs   ` r[   r   r      sz    "tS%45689)!,99b!"ejj112$$ %
24,,.%
 	
 3 :s   B"c                    t        | t        j                  j                        r)| j	                         D ]  }|t
        t        | |      <    y |t
        | <   y r   )ra   rp   rq   r   r   rO   r   )rs   
constraintr   s      r[   add_layout_constraintr      sL    "ejj112 	JH?I%gb(&;<	J )3!"%r]   )r   r(   r&                     	   
         c                b    t        | t              s| S | t        v sJ d|  d       t        |    } | S )Nzid z missing from DTYPE_ID_LOOKUP)ra   intDTYPE_ID_LOOKUPdtypes    r[   decode_dtyper      s=    eS!O#Os5'1N%OO#E"ELr]   c                    t        | t              r4t        | j                               xs t	        | j                               S t        | t
        j                        r| j                  du S t        | t              S )NT)	ra   r:   r   	get_dtyper   sympyExpr
is_integerr   r   s    r[   is_integer_typer      sX    !Y.Q2B1;;=2QQ	Auzz	"||t##!S!!r]   c                t    t        | t              rt        | j                               S t        | t              S r   )ra   r:   r   r   boolr   s    r[   is_boolean_typer     s*    !Y..!T""r]   c                \    d }|D cg c]
  } ||       }}t        |d| i\  }}|S c c}w )Nc                    t        | t        t        j                  f      r| S t	        | j                               }t        j                  dg|z  | j                               S )Nr(   r   )	ra   r   r   Basiclenget_sizerp   zerosr   )inpdims     r[   construct_inputz+get_promoted_dtype.<locals>.construct_input  sG    cFEKK01Jclln%C;;sSy@@r]   type_promotion_kind)r   )r   rj   r   arginps_r   s          r[   get_promoted_dtyper     s@    A -11SOC 1D1!4Q=PQHAuL 2s   )c                0   t        | t        t        f      s| g} nt        |       } t        |       D ]b  }t        |t        j                  j
                        s(|j                         D ](  }t        ||      }|t        vs| j                  |       * d | S r   )
ra   r_   r   rp   rq   r   r   r   rN   re   )aten_fnrs   r   other_fns       r[   get_overloadsr     s    ge}-)w-7m -b%**556LLN -"2x09,NN8,-- Nr]   c                    t        | t        j                  j                        r|| j                  v S t        | t        j                  j
                        r|| j                         v S yNF)ra   rp   rq   r   _qualified_op_namerr   name)rV   	namespaces     r[   in_namespacer   )  sO    "ejj112B1111	B

--	.BGGI%%r]   c           	     V    t               D cg c]  \  }}t        |t              s| }}}j                         D 	cg c]  \  }}	t        |	t              s| }
}}	|s|
s fS |s|r|rt        j
                  nl D cg c]0  }t        |t        t        j                  f      st        |d      r|2 }}|j                  d j                         D               t        |d|i|r |d      n|
d      j                         fd} D cg c]
  } ||       c} j                         D 	ci c]  \  }}	| ||	       c}	}|r1t        t        t!        j"                   fd|D        fd|
D                     }t        |d   j%                               }t'        ||d t)        |             D ]
  \  }}| |<    t'        |
|t)        |      d        D ]
  \  }}||<    t+        t)                     D ]<  }t         |   t,        j.                        s!t1        j2                   |   |       |<   > D ]<  }t        |   t,        j.                        s!t1        j2                  |   |      |<   >  fS c c}}w c c}	}w c c}w c c}w c c}	}w )Nr   c              3  :   K   | ]  }t        |d       s|  yw)r   N)hasattr)r   as     r[   r   z!transform_args.<locals>.<genexpr>I  s     !T7@S!!Ts   r   r   c                    t        | t              rt        |       S t        | t        j                        r"t        j                  | j
                        S | S )Nvaluer   rl   )ra   r:   to_dtyper+   Constantr   )r   rl   r   s    r[   promoteztransform_args.<locals>.promoteT  sD    #y)U++C-{{%OO
r]   c              3  (   K   | ]	  }|     y wr    )r   ri   rj   s     r[   r   z!transform_args.<locals>.<genexpr>c  s     3T!W3   c              3  (   K   | ]	  }|     y wr   r   )r   kkwargss     r[   r   z!transform_args.<locals>.<genexpr>d  s     71VAY7r   )r`   ra   r:   itemsrp   r   r   r   r   r   extendvaluesr   rd   broadcast_tensorsr_   	itertoolschainr   zipr   ranger+   r   r0   create)rj   r   	broadcastr   convert_input_to_boolri   r   args_indicesr   vkwargs_indicesr   promoting_argsr   broadcastedsizerl   r   s   ``              @@r[   transform_argsr   1  s    #,D/N$!QZ95MANLN$*LLNODAqjI6NaONOV|3 JJE
 a&%++!6771g;N N  !!!TV]]_!TT&$7E &2Da!vnQ>O7P
*, 	
	 %))q
),2LLN;DAq!WQZ-;'3l377
 KN++-.k2EC4E&FG 	DAqDG	C4E4G(HI 	DAqF1I	 s4y! 	;A$q'2;;/$++DGT:Q	;  	?A&)R[[1&--fQi>q		? <} OO2 *;s(   JJJJ	5JJ  J%c                    t        j                        fd       }t        |       }t        j	                  |       t
        j	                  t        j                  ||             |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                 N    t        |       dk  sJ  | i |}t        |       |S )Nr&   )r   r;   )rj   r   rg   	decomp_fns      r[   wrappedz+_register_foreach_lowering.<locals>.wrapped  s/    4yA~~((C
r]   )	functoolswrapsr   rX   r   rN   dictfromkeys)r   r   r   aten_fnss    `  r[   _register_foreach_loweringr   y  sX     __Y   W%Hx T]]8W56Nr]   c                     t        j                         fd       }t                |j                  t        j                   |             |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                 l   t        |       } t        |      }d}t        |       dk(  r)t        | d   t         t        f      rd}t        | d         } t        d D              s't        d |j                         D              rJ d       t        | |      \  } }|r| g}  | i |}t        |       |S )NFr(   r   Tc              3  H   K   | ]  }|t         v xs t        |d         yw)_c10d_functionalN)	fallbacksr   )r   rs   s     r[   r   z6_register_lowering.<locals>.wrapped.<locals>.<genexpr>  s)      
JLR9_DR1C DD
s    "c              3  &   K   | ]	  }|d k(    yw)rg   Nr   r   r   s     r[   r   z6_register_lowering.<locals>.wrapped.<locals>.<genexpr>  s     =!1:=   zout= ops aren't yet supported)
r_   r   r   ra   r   allanykeysr   r;   )	rj   r   unpackedrg   r   r   r   r   r   s	       r[   r   z#_register_lowering.<locals>.wrapped  s    t*!%ft9>ja4-@HQ=D 
PW
 
 =v{{}== /= &&)%8:O
f 6D((C
r]   )r   r   r   r   r   r   )r   r   r   r   r   lowering_dictr   s   `````  r[   _register_loweringr    sJ    & __Y  : G$Gw89Nr]   Fc                @    t        j                  t        | ||||      S )z+
    Shim to support decorator syntax.
    )r   r   r   r  )r   partialr  )r   r   r   r   r  s        r[   register_loweringr
    s)     /3# r]   c                p   g }t        j                  t        |       t        |      t        j                  j
                        D ][  \  }}t        j                  j                  j                  j                  t        j                  |d      d      r|j                  |       bt        j                  j                  j                  j                  t        j                  |d      d      r|j                  |       t        j                  j                  j                  ||       t        t        j                  |      j                         t        t        j                  |      j                         k  r|j                  |       K|j                  |       ^ 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size_oblivious)r   zip_longestreversedr   SOnerJ   rS   sizevars	shape_envevaluate_exprEqre   guard_equalsr   expandfree_symbolsr   )r   boutputr   ys        r[   broadcast_symbolic_shapesr    s-    F%%hqk8A;%''++V !177%%33HHQN4 4 
 MM!WW''55HHQN4 6 
 MM!GG))!Q/5<<?//03u||A7S7S3TTa a ! &!""r]   c                V   |	|J d       ||t         j                  }t        d | D              s| S t        d | D              r*|xs t	        | d|ifd}| D cg c]
  } ||       c}S t        d | D              }g }| D ]  }t        |t        t        f      ro|j                  t        j                  t        j                  ||j                         |j                               t!        |j#                                            t        |t$        j&                        rf|j                  t        j                  t)        ||j                         |j                               t!        |j#                                            	|j                  |        |S c c}w )	NzEonly one of override_return_dtype or type_promotion_kind may be givenc              3  f   K   | ])  }t        |t        j                  t        t        f       + y wr   )ra   r   r   r   floatr   s     r[   r   z$promote_constants.<locals>.<genexpr>  s"     HAz!ekk367H   /1c              3  f   K   | ])  }t        |t        t        t        j                  f       + y wr   )ra   r   r   r   r   r   s     r[   r   z$promote_constants.<locals>.<genexpr>  s"     
D:a#uekk23
Dr!  r   c                    t        | t        j                        r!t        j                  | t        d             S t        j                  | t        d             S )Nindexr   rl   r   )ra   r   r   r+   r1   r>   r   r   r   s    r[   
const_funcz%promote_constants.<locals>.const_func  sJ    !U[[)**5t1D  {{%d@STTr]   c              3  l   K   | ],  }t        |t        t        t        j                  f      s)| . y wr   )ra   r:   r0   r+   r   r   s     r[   r   z$promote_constants.<locals>.<genexpr>  s$     WA:a)Z1U#VaWs   *44r   r$  )r   DEFAULTr  r  r   nextra   r   r   re   r0   r   r+   r   r   get_device_or_errorr_   r   r   r   r1   )inputsoverride_return_dtyper   r'  r   exrg   r   s          @r[   promote_constantsr/    s    (,?,G OG $)<)D=EEHHH

DV
DD% 
);*
)<*
	U (..!
1..	WW	WB
C a#u&JJ!!KKr||~b>T>T>V '	 5;;'JJ!!$r||~b>T>T>V '	 JJqM), J3 /s   F&c                .     d dd fd}|S )Nalphac           	       	
 t        d D              r	rJ   S t              r%| '| dk7  r"t              t        d   |       d<   n| J D cg c]  }|j	                          c}	d   j                         xs d   j                         dd  D ]`  }t        |t        j                        rt              t        |j                               k(  rDJ d d d|j                                  t        j                  t        j                  f
t        j                  d uxr t!        t        j                  dd       d uxrb t        j                  j"                  j$                  d uxr: t        j                  j"                  j$                  j'                  dd	      xr 
v 	
fd
}sSd }D ]7  }t)        |j+                         j,                        s'|j+                         } n |sd   j+                         }xs }t/        j0                  ||      S c c}w )Nc              3  V   K   | ]!  }t        |t              xr t        |       # y wr   ra   r2   r3   )r   r   s     r[   r   z0make_pointwise.<locals>.inner.<locals>.<genexpr>5  s(      /
;>JsF#6	#6/
   ')r(   r   zndim mismatch  rT   low_precision_pointwise_barrierFc                
   t        |       t              k(  sJ d|  d        t        j                  k(  r D cg c]
  } ||        c} S g }t              D ]e  \  }} ||       }
|   j	                         }r2|v r.t        j                  ||d      }t        j                  ||      }|j                  |       g  	| }r.t        j                  |d      }t        j                  |      S |S c c}w )Nzwrong ndim r8  F)use_compute_types)r   rp   r   r`   r   rI   r   re   )r%  loadinputs_loaded	inp_indexrg   	inp_dtypedowncastr   emulate_precision_castsrs   r,  loaders	low_pr_fpoverride_fn_when_input_boolrangess          r[   inner_fnz/make_pointwise.<locals>.inner.<locals>.inner_fnW  s
   u:V,LE7!F8.LL,

"'B'N2W4UTT%[4UVV "'0'9 .OItu+C &y 1 ; ; =I.9	3I#&<<YRW#X!ll8Y?!((-. -(*  #||C%PH<<%88
# 5Vs   D rl   r   rF  rE  )r  r/  r_   mulmake_loaderr   r   ra   r+   BaseConstantr   rp   bfloat16float16rJ   rS   r   rT   metagetr@   rd   typer7   r   )r2  r,  r   otherrF  rl   ri   r   rA  rB  rC  rE  allow_alphars   override_devicerD  r-  triton_fallbacks    `     @@@@@r[   innerzmake_pointwise.<locals>.inner4  sD   &3 /
BH/
 ,
 #"?"F++"6+@A UaZf U3r
= =,23q1==?3##%%>)<)<)>ABZ 	AEeR__5V I : At1VHAenn.>-?@A 	A ^^U]]3	GG4 #6dB#$$))5# $$))--.OQVW# " 	 	 	, F !,,.--.\\^F --/ *F	
 	
m 4s    I)r,  r:   r   )rs   r-  rR  rD  rQ  rS  rT  s   `````` r[   make_pointwiserU  ,  s     )- I
 I
V Lr]   c                     ddd fd}|S )Nr(   r1  c                   t        t        j                  j                  j                        dk(  xs6 t        j                  j                  j
                  t        v xs
 t               }d }|D ]  }t        |t        t        f      s|} n |J d       g }|D ]H  }t        |t        t        f      s|j                  |gt        |      z         8|j                  |       J t        t        |       }d gt        |      z  }|j                         D ]  \  \  }}	}
g }|
D ]~  \  }}r	 |d| i}n | }|||<   t        j                  j                  |t         j"                        sJ|	sM|sP|j%                          |j                  |j'                                 |st        j                  j)                  |        t+        d |D              sJ |S )Nr   z1at least one input must be a list to a foreach opr2  c              3  $   K   | ]  }|d u 
 y wr   r   r   s     r[   r   z8make_foreach_pointwise.<locals>.inner.<locals>.<genexpr>  s     2Q1D=2   )r   rJ   rS   rT   rU   rW   inplace_foreach_opsr\   ra   r_   r   re   rn   r   r   has_featureBackendFeatureFOREACHrealizeget_operation_nameregister_operation_listr  )r2  r,  realize_outputsa_list_inputinputbroadcast_inputsgroupsoutputsrl   rk   groupoperation_list
output_indrj   r  rQ  pw_fns                  r[   rT  z%make_foreach_pointwise.<locals>.inner  s   $$**+q0 0ww##**.AA0-/ 	  	E%$/$	 ' 	
?	
'
  	/EedE]3 ''#l2C(CD ''.		/ $C)9$:;&3|,,,2LLN 	@(!V[5(*N G "D66F"D\F&,
# GG''0F0FG#'NN$"))&*C*C*EF#G& //?-	@0 2'2222r]   )r,  zlist[list[TensorBox]]r   )rj  rQ  rT  s   `` r[   make_foreach_pointwiserk    s    45 4 4l Lr]   c                    | j                         k(  r|rt        |       S | S fd} t        |      |       S )Nc                4    t        j                  |       S )N)	src_dtype)rI   r   )r   r   rn  s    r[   	_to_dtypezto_dtype.<locals>._to_dtype  s    ||Au	::r]   r-  )r   clonerU  )r   r   copyro  rn  s    `  @r[   r   r     sC    IEuQx&Q&; B>)5A!DDr]   r   c                   ddl m} |}| j                  } ||t        j                        }t        j
                  |      5   |j                  |  ddd       |j                  }|sJ t        |      }dgt        |      z  }	|j                         D ]  \  \  }
}}g }|D ]k  \  }}||	|<   t        j                  j                  |
t        j                        s:|s=|j                          |j                  |j!                                m |s~t        j                  j#                  |        t%        d |	D              sJ |	S # 1 sw Y   xY w)aI  
    This lowers an invocation of foreach_map
    The way this works is that an arbitrary N-arg func is provided by the user, looped over by the
    polyfill with the same semantics as a foreach op (a loop applying an n-ary function to n args)
    and then traced into a subgraph by dynamo.
    This code allows us to inline the subgraph into the main graph lowering using the PontwiseSubgraphLowering.
    The graph outputs represent the vertically fused sequence of ops, and then register_operation_list
    below registers the buffers as horizontally fuseable in the scheduler.
    r(   )PointwiseSubgraphLowering)root_graph_loweringNc              3  $   K   | ]  }|d u 
 y wr   r   r   s     r[   r   z_foreach_map.<locals>.<genexpr>  s     .q}.rY  )subgraph_loweringru  graph_modulerJ   rS   set_graph_handlerrungraph_outputsrn   r   r   r[  r\  r]  r^  re   r_  r`  r  )subgraphrj   r   ru  r,  gmpw_subgraphsub_outputsre  rf  rl   rk   rg  rh  ri  r  s                   r[   _foreach_mapr    sA    =F			B+BAGGLK	
		[	) ! ! ++K;,Ffs;''G(. <$u$& 	C 
"(GJww""6>+A+AB{ %%f&?&?&AB	C GG++N;< .g....N3! !s   E		Ec                @   |j                   s| j                         j                   rk| j                         r/t        | |      }t        j
                  j                  ||        |S  t        t        j                  j                  d      | |      S t        | |d      S )Nr   Fadd_to_fallback_setTrr  )
is_complexr   r   
empty_liker+   InplaceCopyFallbackr   fallback_handlerprimsconvert_element_typedefaultr   )r   r   dsts      r[   _convert_element_typer    s    1;;=33::< Qe,C""))#q1J#**22  Au4((r]   r  c                  | j                         }||k(  r|rt        |       S | S d } ||      } ||      }||k7  r* t        t        j                  j
                        | |      S t        t        j                  | |            S )Nc                    | j                   rt        j                  |       j                  S t        j                  |       j                  S r   )is_floating_pointrp   finfobitsiinfor   s    r[   _get_primitive_bitwidthz1to_dtype_bitcast.<locals>._get_primitive_bitwidth	  s5    "";;u%***;;u%***r]   )	r   rq  r  atenviewr   r:   r/   r   )r   r   rr  x_dtyper  src_bitsdst_bitss          r[   to_dtype_bitcastr    s~    kkmG%uQx&Q&+ 'w/H&u-H80		0E::))!U344r]   c                &   |j                   s| j                         j                   r`t        j                  t        j
                  j                  t        j                  j                  j                  j                  | |            S t        | |      S r   )r  r   r:   r   r+   ComplexViewrp   rI   r  r  r   r  r&  s     r[   _view_dtyper    se    1;;=33NN!!%)).."5"5";";QF
 	
 Au%%r]   rr  non_blockingc                   t        |      }| j                         |k(  r|rt        |       S | S t        j                  t
        j                  j	                  | ||            S r   )r>   rd   rq  r:   r   r+   
DeviceCopy)r   rl   rr  r  s       r[   	to_devicer  !  sO    6"F||~uQx&Q&BMM00FLIJJr]   c                     t        | |d|      S )NTr  )r  )r   rl   r  s      r[   _device_putr  (  s    QTEEr]   Tc	                   |xs | j                   }t        |      }	t        |||       |t        |      }t        |	||||      }	 t	        | |||      |	      }	t        t        |      r" t	        t        t        |      d|      |	       |	S )z3A pointwise function that maps ops.{name} to inputsN)r-  rD  rQ  rS  )r   r   r   )r   r   )__name__r5   rE   rU  r
  r   r  r   )
r   r   r   r   r   r-  rD  rQ  rS  rs   s
             r[   register_pointwiser  -  s     #7##D	T	B'!#8 #.&12M&N#	
3$?'
B
	/3	

 	

B ud	
E4  $"7	
 		
 Ir]   c                 .   d} t        d      fd}fd}t        |      t        |t        j                        gfd} t	        t
        j                        |      }t        t        |       r! t	        t        t        |       d      |       |S )z2A pointwise function that maps ops.frexp to inputsfrexpc                      | i |d   S Nr   r   rj   r   r  s     r[   frexp0zregister_frexp.<locals>.frexp0_      d%f%a((r]   c                      | i |d   S Nr(   r   r  s     r[   frexp1zregister_frexp.<locals>.frexp1b  r  r]   rp  c                 0     d   | i | d   | i |fS Nr   r(   r   )rj   r   pw_fnss     r[   rs   zregister_frexp.<locals>.fnj  s.    vay$)&)96!9d+Ef+EEEr]   Nrs  )
r5   rU  rp   int32r
  r  r  r   r  r   )r   r  r  rs   r  r  s       @@r[   register_frexpr  Z  s    D E)) 	vvU[[AF
F
	




B ud	
E4  $	
 	 Ir]   c                8    t        ||      }t        | |      }|S )NrQ  )rk  r   )r   pointwise_lowering_fnrQ  rs   s       r[   register_foreach_pointwiser  |  s"    
 
  5;	OB	#GR	0BIr]   )r   r   c           
        d }t        |t        t        f      r t        |      |      }t        |t        t        f      r t        |      |      }| ||g}t	        |d   |d   t
        j                        }t        |      D cg c]  \  }}t        |t              s| }}}t        |t        |D cg c]  }||   	 c}       D ]
  \  }}|||<    t        t        |            D ]Y  }t        ||   t        j                        s!t        j                   ||   t#        ||d      j%                                     ||<   [  t'        ||      |d   t)        |d   |      t)        |d   |            S c c}}w c c}w )Nc                 &    t        j                  |  S r   )rI   whererj   s    r[   rs   zwhere.<locals>.fn  s    yy$r]   r(   r&   rs  r   rp  )ra   r   r   constant_liker   r   r)  r`   r:   r   r   r   r   r+   r   r0   r   r_   r   rU  r   )	r   r   r  rs   rj   r   ri   r   indicess	            r[   r  r    so     !eS\"M!Q!eS\"M!Q!Q<DQa.M.U.UE 't_ITQ
1i0HqIGIG.'0JQa0JKL 1Q3t9 Td1gr{{+ ''Qd71:6F6O6O6Q1RSDGT ;>"E:Q$q'5)8DGU+C  J0Js   E9 E96E?c                    t        |       dk(  r$t        | d   t        t        f      rt	        | d    S t        j                  t        | D cg c]  }|j                          c}g       }g }| D ]b  }|j                         }t        |      t        |      k7  st        d t        ||      D              rt        ||      }|j                  |       d |S c c}w )Nr(   r   c              3  ~  K   | ]4  \  }}t         j                  j                  j                  j	                  t        j                  |d       d      xrJ t         j                  j                  j                  j	                  t        j                  |d       d       xs t         j                  j                  j                  j	                  t        j                  |d       d       xrI t         j                  j                  j                  j	                  t        j                  |d       d       7 yw)r(   Tr  N)rJ   rS   r  r  r  r   r  r   r   r  s      r[   r   z$broadcast_tensors.<locals>.<genexpr>  s
     ,
& 1! GG$$..<<At =   GG,,66DDAt E  	 ((22@@At A    ((22@@At A ,
s   D;D=)r   ra   r_   r   r   r   reducer  r   r  r   r  re   )r,  r   rW   rf  sizess        r[   r   r     s    
6{aJvay4-@ &),,(//!&#AQAJJL#A2 F G 

u:V$ ,
& E6*',
 )
* q&!Aq12 N9 $Bs   C
c                    | S r   r   r   s    r[   nopr    s    Hr]   
lift_freshc                   t        | t              sJ |(t        t        j                  | j                              S t        |t
        t        j                  f      r)t        j                  j                  j                  |      nt        d |D              }t        t        | j                               |      }t!        t        |t              s|fn|      }g }t#        | j                               D ]Z  \  }}||v r@t        j                  j                  j%                  t        j&                  |d      d      rJ|j)                  |       \ || j                         k7  rt+        | |      S | S )Nc              3  n   K   | ]-  }t         j                  j                  j                  |       / y wr   )rJ   rS   r  evaluate_static_shaper   ds     r[   r   zsqueeze.<locals>.<genexpr>  s%     J177##99!<Js   35r(   Tr  )ra   r:   r9   r   rc   r   r   r   rJ   rS   r  r  r   r   r   r   r!   r`   r  r  re   r  )r   r   dims	new_shaper  ss         r[   squeezer    s#   a###
{++AFF344 cC,- 	
..s3JcJJ 
 C

-s
3CJsE$:sfDDI!**,'  1I  ..uxx1~d.SQ  "+ajjl!:49AAr]   c                ,    t        t        | |            S r   )rq  r  )r   r   s     r[   squeeze_copyr    s    C!!r]   c                    t        | |      }t        | t              sJ t        |t              sJ |j                  | _        | S r   )r  ra   r:   rc   r   r   vals      r[   squeeze_r    s=    
!S/Ca###c9%%%XXAFHr]   c                    t        |       rt        | dt        j                        S t	        d      } t        |t        j                        |       S )NFr   isinfrp  r   	full_likerp   r   r5   rU  r   rs   s     r[   r  r    ?    qE44	W	B?>"EJJ?BBr]   c                    t        |       rt        | dt        j                        S t	        d      } t        |t        j                        |       S )NFr   isnanrp  r  r  s     r[   r  r    r  r]   c                f    t        |       rt        |       S t        d      } t        |      |       S )Nceilr   rq  r5   rU  r  s     r[   r  r    s/    qQx	V	B>"a  r]   c                f    t        |       rt        |       S t        d      } t        |      |       S )Nfloorr  r  s     r[   r  r    /    qQx	W	B>"a  r]   c                f    t        |       rt        |       S t        d      } t        |      |       S )Nroundr  r  s     r[   r  r    s/    qQx!!~b!!$$r]   c                f    t        |       rt        |       S t        d      } t        |      |       S )Ntruncr  r  s     r[   r  r    r  r]   c                   t        | g      \  } t        | t        j                        rt	        j
                  | t        |            S t        | t              sJ t        |t        t        f      sJ t        | j                               t        |      k(  r| S t        | j                               st        j                  j                  j                  t        | j                                     }|dkD  rOt        |      sD| j!                  t        j                  j                  j                  t        |            |z         t        t	        j
                  | j"                  t        |                  S r  )r/  ra   r+   rJ  r0   r   r   r:   r_   r   r    rJ   rS   r  size_hint_or_throwrG   
mark_reuserc   )r   r  x_size_products      r[   r  r  %  s   aS!DQ!R__%  E%L11a###edE]+++QZZ\eEl* .))<<!**,'
 A&;E&BLL  33M%4HI!" Z&&qvvuU|<==r]   c                    t        |      }|D ]  }d||<   	 | }t        |      D ]  \  }}|dk7  st        ||      } t        ||      S Nr7  )r_   r`   	unsqueezer  )r   shapebroadcast_dimensionsr  broadcast_dimensionr   idxr   s           r[   broadcast_in_dimr  @  sf    UA3 $!#
$ 	
AA, "Q7!S!A" !Ur]   c                6    t        | |j                               S r   )r  r   )r   r  s     r[   	expand_asr  N  s    !QZZ\""r]   c                j   t        | j                               t              t              kD  rKt        j                  j
                  gt              t              z
  z  z   t        | t                    } t              t        | j                               k(  sJ t        | j                               }d}t        t                    D ]  }|   dk(  rd}||   |   z  ||<    |r*t        || j                         | j                               S t        d t              D              rt        t        | |            S fd}t              st        |      s{t         j"                  j$                  j'                  t)                    }|dkD  rD| j+                  t         j"                  j$                  j'                  t)        |            |z         | j-                         t/        j0                  | j                         | j                         |t        |            S )NFr   Tr   rl   c              3  :   K   | ]  \  }}|d k(  xs |d k(    ywr(   Nr   r  s      r[   r   zrepeat.<locals>.<genexpr>e  s$     
A$!QAFa1f
A   c                   t        |       t              k(  sJ t        |       } t        t                    D ]G  }|   dk7  s|   dk(  rt        j                  j
                  | |<   2t        | |   d|         | |<   I  |       S r  )r   r_   r   r   r  Zeror%   )r%  ri   old_sizerepeatsx_loaders     r[   rF  zrepeat.<locals>.inner_fnj  s    5zS\)))Us7|$ 	IAqzQA;!#$ww||E!H.uQxHQKHE!H	I r]   rG  )r_   r   r   r   r  r  r  r   emptyr   rd   r  r   rq  r  r    rJ   rS   r  r  rG   r  rI  r7   r   )	r   r  new_sizezero_tensorri   rF  old_size_productr   r  s	    `     @@r[   repeatr  S  s   AJJL!H
7|c(m#GGKK=CL3x=$@AHLDN#w<3qzz|,,,,AJJL!HK3w<  /1:?KqkGAJ./
 XQ[[]1<<>JJ

A#gx*@
AAVAx())	 !*3H3R77++>>}X?VWa LL  33M(4KL#$
 }}H||~kkmH~	 r]   c                    t        | t              sJ t        |t        t        f      sJ t        t	        j
                  | j                  |            S r   )ra   r:   r_   r   r<   r   rc   )r   r  s     r[   r  r    sB     a###edE]+++T[[/00r]   c                    t        | t              sJ t        |t        t        f      sJ t        t	        j
                  | j                  t        |                  S r   )ra   r:   r_   r   r6   r   rc   )r   r  s     r[   permuter
    sF    a###dT5M***[''d<==r]   c           
         t        | t              sJ t        | |d      }t        t        j                  j                  | j                  |||||            S )Nr   clamp)ra   r:   _validate_dimr+   	SliceViewr   rc   )r   r   startendstepr  s         r[   slice_r    sK    a###
3
"CR\\((eS$e(TUUr]   c                   t        | t              r>t        | j                  t        j                        r| j                  j                         } | j                          t        j                  |       st        d|  d      t        j                  |       \  }}t        j                  |j                  |j                  |D cg c]  }t        j                  |       c}|D cg c]  }t        j                  |       c}t        j                  |xs d            }t        t        j                  ||            S c c}w c c}w )Nzunrealized as_strided(z, ...)r   rc   layout)ra   r:   rc   r+   BaseViewunwrap_viewr^  is_storage_and_layoutr   as_storage_and_layoutFixedLayoutrl   r   r   r  ReinterpretView)r   r   stridestorage_offsetstorage
old_layoutr  
new_layouts           r[   
as_stridedr"    s    !YJqvvr{{$CFF IIK##A&!$:1#V"DEE2215GZ"&'Qa'"()Qa)^(q)J R''WZHII	 	()s   E&Ec                d    t        | t              sJ t        | |||      j                  | _        | S r   )ra   r:   r"  rc   )r   r   r  r  s       r[   as_strided_r$    s/    a###48==AFHr]   c                4    t        | |||      }t        |      S r   )r"  rq  )r   r   r  r  results        r[   as_strided_copyr'    s    48F=r]   c                    g d} D ]1  }j                  |||j                            z   f       d   d   }3  D cg c]  }|j                          c} fd}t         d   j                               }d   d   |<   t	        j
                   d   j                          d   j                         ||      S c c}w )Nr   r7  c           	       
 t        j                  |    t        j                        }g }g }t	        t                    D ]?  

dk(  r$t        j                  dt        j                        n)t        j                  
   d   t        j                        }t        j                  
   d   t        j                        }t        j                  ||      }t        j                  ||      }
dk(  r|}n*
t              dz
  k(  r|}nt        j                  ||      }|j                  |       t        |       t           
   d   z
        <   |j                  t        j                  |
fdd             B |d   }	t	        t              dz
  dd      D ]  
t        j                  |
   |
   |	      }	! |	S )Nr   r(   c                                S r   r   )ri   idx_loadinputs_loaderss   r[   <lambda>z1pointwise_cat.<locals>.inner_fn.<locals>.<lambda>  s    -N1-h7 r]           r7  r&   )rI   
index_exprrp   int64r   r   constantgeltand_re   r_   r$   maskedr  )r  idx_dimmasksmasked_loadsr  r  
start_condend_condmasknext_valri   r+  r   r,  r,  inputs_rangess             @@r[   rF  zpointwise_cat.<locals>.inner_fn  s   ..S5;;7s6{#  	A 6 Q,^^M!$4Q$7E 
 ..q!1!!4ekkBC/Jvvgs+HAvc&kAo%!xx
H5LLCyH %Xc]]15Ea5H%HIHSM

75 	D  #Fq("b1 	AyyaQH	 r]   rG  )re   r   rI  r_   r7   r   rd   r   )r,  r   prev_endr   rF  r  r,  r=  s   ``    @@r[   pointwise_catr?    s    9;MH )h3<<>#3F(FGH $R() 4::Ccoo':N.` F1I&&()H!"%b)HSMay##%Qi!!#	 k ;s   Cc           	       	
 t        j                               dk(  sJ d       t        j                               dk(  sJ d       | j                         t        j                  k(  rt        | t        j                        } | j                         t        j                  k(  sJ d| j                                 t        | j                               k  s!J dt        | j                                       | j                         j                         	j                         
	
f	d}t        j                  | j                         || j                               S )Nr(   expect scales 1 dimexpect zero_points 1 dim<Expecting input to have dtype torch.float32, but got dtype: Expecting axis to be < c                b  	 | 
   f} |       } |      } |      }t        t        j                        \  }}j                  t        j                  k7  r$t	        j
                  |t        j                        }j                  t        j                  k7  r$t	        j
                  |t        j                        }t	        j                  |      }t	        j                  ||z        |z   }t	        j                  |t	        j                  ||            }	t	        j
                  |	      S Nr   )_create_constantsrp   float32r   rI   r   r  
reciprocalr  maximumminimum)r  channel_idxrc  scale
zero_pointqminqmax	inv_scaler  clampedaxisr   input_loader	quant_max	quant_minscalesscales_loaderzero_pointszero_points_loaders             r[   rF  z;quantized_decomposed_quantize_per_channel.<locals>.inner_fn  s    4ylS!k*'4
&y)5==Q
d<<5==(LL6E+j%++>JNN5)	ii	)*Z7++dCKKc$:;||GU++r]   rG  )r   r   r   rp   rK  r   rH  rI  r7   r   rd   )rc  rW  rY  rS  rV  rU  r   rF  rT  rX  rZ  s    `````` @@@r[   )quantized_decomposed_quantize_per_channelr[    s?    v !Q&=(==&{##%&!+G-GG+ENN*.??- 
FuGXFYZ- #enn&'' 
!#enn&6"7!89' $$&L&&(M$002, ," !~~	 r]   )	out_dtypec               v  	
 t        j                               dk(  sJ d       t        j                               dk(  sJ d       | j                         |k(  sJ d| d| j                                 t        | j                               k  s!J dt        | j                                       t        j                  | j                         	j                         
j                         	
fd}t        j                  | j                         || j                               S )	Nr(   rA  rB  Expecting input to have dtype , but got dtype: rD  c                   |    f} |       } 
|      } |      }	j                   t        j                  k7  r$t        j                  |t        j                        }j                   t        j                  k7  r$t        j                  |t        j                        }t        j
                  t        j                  |t        j                        |      |z  }t        j                  |      }|S r   )r   rp   rH  rI   r   sub)r  rL  rc  rM  rN  r  rS  rT  r\  rW  rX  rY  rZ  s         r[   rF  z=quantized_decomposed_dequantize_per_channel.<locals>.inner_fnU  s    4ylS!k*'4
<<5==(LL6E-j%--@Jggcll5%--8*EMll3	*
r]   rG  	r   r   r   rp   rH  rI  r7   r   rd   )rc  rW  rY  rS  rV  rU  r   r\  rF  rT  rX  rZ  s    ```   ` @@@r[   +quantized_decomposed_dequantize_per_channelrc  7  s-    v !Q&=(==&{##%&!+G-GG+??% 
(/@AR@ST% #enn&'' 
!#enn&6"7!89' MM	$$&L&&(M$002  !~~	 r]   c                   | j                         t        j                  k(  rt        | t        j                        } | j                         t        j                  k(  sJ d| j                                 | j                         fd}t        j                  | j                         t        j                  |t        |      t        |            | j                               S )NrC  c                L    
|       }t        d|z  |t        j                        \  }}t        j                  ||z        |z   }t        t        j                        \  }}t        j
                  t        j                  ||      |      }t        j                  |	      S )N      ?r   )rG  rp   rH  rI   r  rK  rJ  r   )r  rM  rN  rc  rQ  r  rO  rP  rR  r   rT  rU  rV  s            r[   rF  zBquantized_decomposed_quantize_per_tensor_default.<locals>.inner_fn  s    S! 1%K5==!
	: ii	)*Z7&y)5==Q
d++ckk#t4d;||GU++r]   rM  rN  rG  )r   rp   rK  r   rH  rI  r7   r   rd   r   r	  r   r   r   )rc  rM  rN  rV  rU  r   rF  rT  s      ``` @r[   0quantized_decomposed_quantize_per_tensor_defaultrh  l  s     ENN*.??- 
FuGXFYZ- $$&L, !""E%LS_
 ~~ r]   c               l   | j                         |k(  sJ d| d| j                                 t        j                  | j                         fd}t	        j
                  | j                         t        j                  |t        |      t        |            | j                               S )Nr^  r_  c                     |       }t        ||t        j                        \  }}t        j                  t        j
                  |t        j                        |      |z  }t        j
                  |      }|S rF  )rG  rp   rH  rI   ra  r   )r  rM  rN  rc  r  rT  r\  s        r[   rF  zDquantized_decomposed_dequantize_per_tensor_default.<locals>.inner_fn  s]    S!-eZu}}Uzggcll5%--8*EMll3	*
r]   rg  rG  )r   rp   rH  rI  r7   r   rd   r   r	  r   r   r   )	rc  rM  rN  rV  rU  r   r\  rF  rT  s	         ` @r[   2quantized_decomposed_dequantize_per_tensor_defaultrk    s     ??% 
(/@AR@ST% MM	$$&L !""E%LS_
 ~~ r]   c                0  	 | j                         t        j                  k(  rt        | t        j                        } | j                         t        j                  k(  sJ d| j                                 t        j                               dk(  s9t        j                               dk(  rj                         d   dk(  sJ d       t        j                               dk(  s9t        j                               dk(  rj                         d   dk(  sJ d       | j                         j                         j                         		fd}t        j                  | j                         || j                               S )NrC  r   r(   expect scale as scalar tensor"expect zero_point as scalar tensorc                    	|       } t        j                               dk(  rdnd      } t        j                               dk(  rdnd      }j                  t        j                  k7  r$t        j                  |t        j                        }j                  t        j                  k7  r$t        j                  |t        j                        }t        j                  |t        j                  |      z        |z   }t        
t        j                        \  }}t        j                  t        j                  ||      |      }t        j                  |      S )Nr(   r   r   r   )r   r   r   rp   rH  rI   r   r  rI  rG  rK  rJ  )r  rc  _scale_zero_pointr  rO  rP  rR  r   rT  rU  rV  rM  scale_loaderrN  zero_point_loaders           r[   rF  zAquantized_decomposed_quantize_per_tensor_tensor.<locals>.inner_fn  s    S!c%..*:&;q&@dbI'ENN4D0E0JPRS;;%--'\\&%--8Fu}},,,{EMMBKiiv 667+E&y)5==Q
d++ckk#t4d;||GU++r]   rG  )r   rp   rK  r   rH  r   r   rI  r7   r   rd   )
rc  rM  rN  rV  rU  r   rF  rT  rs  rt  s
    ````` @@@r[   /quantized_decomposed_quantize_per_tensor_tensorru    sf    ENN*.??- 
FuGXFYZ- u~~ A%ENN"u~~'7':a'?'&'  z""$%*J!"a'J,?,?,A!,D,I,+,  $$&L$$&L"..0, , !~~	 r]   c                 	
 t        j                               dk(  s9t        j                               dk(  rj                         d   dk(  sJ d       t        j                               dk(  s9t        j                               dk(  rj                         d   dk(  sJ d       | j                         |k(  sJ d| d| j                                 t        j                  | j                         j                         	j                         
	
fd}t        j                  | j                         || j                               S )	Nr   r(   rm  rn  r^  r_  c                V    |       } t        j                               dk(  rdnd      } 
t        j                               dk(  rdnd      }j                  t        j                  k7  r$t        j                  |t        j                        }	j                  t        j                  k7  r$t        j                  |t        j                        }t        j                  t        j                  |t        j                        |      |z  }t        j                  |      }|S )Nr(   rp  r   )r   r   r   rp   rH  rI   r   ra  )r  rc  rq  rr  r  rT  r\  rM  rs  rN  rt  s        r[   rF  zCquantized_decomposed_dequantize_per_tensor_tensor.<locals>.inner_fn  s    S!c%..*:&;q&@dbI'ENN4D0E0JPRS;;%--'\\&%--8Fu}},,,{EMMBKggcll5%--8+FOll3	*
r]   rG  rb  )rc  rM  rN  rV  rU  r   r\  rF  rT  rs  rt  s    ``   ` @@@r[   1quantized_decomposed_dequantize_per_tensor_tensorrx    sU    u~~ A%ENN"u~~'7':a'?'&'  z""$%*J!"a'J,?,?,A!,D,I,+,  ??% 
(/@AR@ST% MM	$$&L$$&L"..0
 
 !~~	 r]   c                   | d   j                         j                  dk(  }|rt        d | D              rp| D ]  }|j                           t        d | D              rt	        t
        j                  g|  \  } } t        t
        j                  j                        | |      S t        |       dk(  rt        | d         S t        | d   |d      }t        | dt        j                  i}| D cg c]  }t        ||       } }ddd fd	t!        fd
| D              }dfdt"        j$                  rt'        | |      S |r)t)        t*        j,                  j/                  | |            S fdd}dddt        |       |k  s1t        |       t"        j0                  k  rt        fd| D              rt        fdt2        j4                  j6                  D              }	t!        fd| D              xr |	}
t        fd| D              xr t!        fd| D               }|
s|r|st'        | |      S t)        t*        j,                  j/                  | |            S c c}w )Nr   cpuc              3  |   K   | ]4  }|j                         t        j                  t        j                  fv  6 y wr   )r   rp   int8uint8r   rc  s     r[   r   zcat.<locals>.<genexpr>  s.      ;@ejj%++66s   :<c              3  T   K   | ]   }t        |j                               d k(   " yw)r   N)r   r   r~  s     r[   r   zcat.<locals>.<genexpr>&  s!     >es5>>#$)>s   &(r(   r   c                   t        | t              rJt        | j                  t        j                        r| j                  j                         S | j                  S t        | t        j                        r| j                  S | S r   )ra   r:   rc   r+   r  r  
StorageBoxr   s    r[   unwrap_tensorzcat.<locals>.unwrap_tensor3  sV    a#!&&"++.vv))++vva'66Mr]   c                    t        | t        j                        xr$ t        | j                  t        j                        S r   )ra   r+   ComputedBufferrc   r8   )rm   s    r[   is_reductionzcat.<locals>.is_reduction?  s)    !R../TJqvvr||4TTr]   c                    t        | t        t        j                  f      r  |             S  |       xs> t        | t        j                        xr" t        fd| j                         D              S )Nc              3  h   K   | ])  } t         j                  j                  |             + y wr   )rJ   rS   
get_buffer)r   readcan_fuse_reductions     r[   r   z2cat.<locals>.can_fuse_reduction.<locals>.<genexpr>H  s-       #177#5#5d#;<s   /2)ra   r:   r+   r  r7   r  get_read_names)rm   r  r  r  s    r[   r  zcat.<locals>.can_fuse_reductionB  sh    a)R]]34%mA&677O !R\\*  ,,. 	
r]   c              3  .   K   | ]  } |        y wr   r   r   rm   r  s     r[   r   zcat.<locals>.<genexpr>O  s     Ba.q1B   c                6   t        j                  |       r:t        j                  | d      \  }}t         j                  j	                  |       S t        | t        t         j                  f      r  |             S t        | t         j                        ryy)NF)freezeT)	r+   r  r  ConcatKernelcan_realize_into_without_copyra   r:   r  r7   )r   r  r   should_lower_cat_inputr  s      r[   r  z#cat.<locals>.should_lower_cat_inputQ  sx     ##A&11!EBJGQDDWMMMa)R]]34)-*:;;a&r]   c                H   t        | t        t        j                  f      r  |             S t        | t        j                        sy| j                         j                  }| j                         D ]*  }| t        j                  j                  |            z  }, |S r  )ra   r:   r+   r  r7   inner_fn_opcountnum_opsr  rJ   rS   r  )r   countr  op_countr  s      r[   r  zcat.<locals>.op_counth  s    a)R]]34M!,-- !R\\*""$,,$$& 	8DXagg00677E	8 r]   r   r&   c                n    | t         j                  j                  t         j                  j                  fv S r   )r  catr  constant_pad_ndrV   s    r[   additional_pointwise_opsz%cat.<locals>.additional_pointwise_ops}  s(    dhh&&(<(<(D(DEEEr]   c              3  4   K   | ]  } |      k    y wr   r   )r   rm   MAX_SIMPLE_OP_COUNTr  s     r[   r   zcat.<locals>.<genexpr>  s     Cq22Cs   c              3  6   K   | ]  }t        |        y wr   )rA   )r   user  s     r[   r   zcat.<locals>.<genexpr>  s!      
 S":;
r   c              3  .   K   | ]  } |        y wr   r   r   r   r  s     r[   r   zcat.<locals>.<genexpr>  s     >&s+>r  c              3  .   K   | ]  } |        y wr   r   r  s     r[   r   zcat.<locals>.<genexpr>  s      "
,/"3'"
r  c              3  .   K   | ]  } |        y wr   r   r  s     r[   r   zcat.<locals>.<genexpr>  s     <(+<r  )r   zUnion[TensorBox, ir.StorageBox]return	ir.IRNode)r  r   rV   torch._ops.OpOverload)rd   rO  r  r^  require_channels_lastr  r  r  r  r   rq  r  r   r   r)  r   r  r)   force_pointwise_catr?  r:   r+   r  r   max_pointwise_cat_inputsrJ   rT   rU   )r,  r   
cpu_devicerc  r   r   r   fusable_reductionMAX_COMPLEX_POINTWISE_CATpointwise_usesfuse_pointwise_usehorizontal_fuse_catr  r  r  r  r  r  r  s               @@@@@@@r[   r  r    sI   %%',,5Jc DJ 
  	EMMO	>v>>-dhh@@IFA1 0 01&#>>
6{aVAY
q	3
*C	%D%L%LE /55shsE"5F5
U

 B6BB !!VS)) //<==$ !"F 6{//	V77	7CFCC 
~~++
 
 >v>>Q> 	 " "
39"
 
 =<V<<< 	 "5>O --R__++FC899K 6s   5I1c                  
 | j                         t              t              t              t        k7  fd       t        j
                  j                  j                  t        j                  |d            }|r\t        j
                  j                  j                  t        j
                  j                  j                     |z            d      }n[t        j
                  j                  j                  t        j
                  j                  j                        |z
        d      }d
|r| df
nd|f
t              D cg c]  \  }}|fvs| }}}|j                  |       
fd}	t        t        j                   j#                  | ||	            S c c}}w )N)r  rankc                     d  d S )Nz(diagonal dimensions cannot be identical z, r   )dim1dim2s   r[   r-  zdiagonal.<locals>.<lambda>  s     HbQUPVW r]   r   )r   r   c                    | d   }dgt        	      z  }d}t              D ]1  }|k(  r|d   z   ||<   |k(  r|d   z   ||<   %| |   ||<   |dz  }3 |t        	      dz
  k(  sJ |S )Nr7  r   r(   r&   )r   r   )
r  diag_idxoriginal_idxcur_dimr  base_idxr  r  num_dimsoriginal_shapes
        r[   	reindexerzdiagonal.<locals>.reindexer  s    r7sS00x 	ADy"*Xa["8Qd"*Xa["8Q"%g,Q1	 #n-1111r]   )r   r   r   r   rJ   rS   r  r  r   Ltevaluate_maxevaluate_minr`   re   r:   r+   GenericViewr   )rc  offsetr  r  offset_negative	diag_sizeri   r  r  r  r  r  r  s     ``      @@@r[   diagonalr    s   ^^%N>"H84D84D	W gg&&44UXXfa5HIOGG$$11GG))t$v-~d/C 	
	 GG$$11GG))t$nT&:V&C 	
	 HGQ<v;$^4N41a$8MQNEN	LL   R^^**5%CDD' Os    F:/F:c                0    t        t        | |||            S r   )rq  r  )rc  r  r  r  s       r[   diagonal_copyr    s    %t455r]   c                P    t        |       }t        ||||      }t        ||       |S r   )rq  r  	mutate_to)rc  srcr  r  r  r  rW   s          r[   diagonal_scatterr    s*    5\FffdD1FfcMr]   c           	         t        j                  || j                         |         }t        t	        | |||dz         |      S r  )r<   handle_negative_indexr   r  r  )r   r   r  s      r[   selectr    s;    

$
$S!**,s*;
<C6!S#sQw/55r]   c           
     r   t        | |d      }|}t        |t        t        f      s`| j	                         |   }t
        j                  j                  j                  t        ||z   dz
  |            }|g|z  }||dz
  |z  z
  |d<   g }d}|D ](  }||z   }	|j                  t        | |||	d             |	}* |S )Nr   r(   r7  Fr  )r  ra   r_   r   r   rJ   rS   r  r  r#   re   r  )
r   r  r   sizes_x_sizechunksr&  r  r   r  s
             r[   splitr    s    
3
"CF edE]+c"!!77Ve^a'/
 6!vzU22r
 FE dl 	fQUCu=> Mr]   c                    t        | ||      S r   )r  )r   r  r   s      r[   split_with_sizesr     s    E3r]   c                    t        | |d      }t        j                  j                  j	                  | j                         |         }t        |      D cg c]  }t        | ||       }}|S c c}w r  )r  rJ   rS   r  r  r   r   r  )r   r   r  ri   r&  s        r[   unbindr    s_    
3
"CWW33AJJL4EFF).v7AfQQ7F7M 8s   A-c                >   | j                         }t        |      }t        ||      |dk(  rt        t	        | d      |      S |   }t
        j                  j                  }|j                  ||       |j                  d       t        ||z
        dz   }|j                  |      dkD  r-| j                  |j                  t        ||z  |                   g |d  ||dz   d  |}	fd}
t        t        j                   j#                  | |	|
            S )Nr   )r  r(   c                D    | d   |    z  z   }g | d  || dz   d S )Nr7  r(   r   )r  dim_idxr   r  s     r[   r  zunfold.<locals>.reindexer#  s?    b'CHtO+8Tc8G8c#'B&788r]   )r   r   r   r  r  rJ   rS   r  	guard_leqguard_ltr#   r  r  r"   r:   r+   r  r   )r   	dimensionr   r  r  ndimdim_sizer  new_dim_sizeout_sizer  r   s      `       @r[   unfoldr    s   JJLEu:D
4
+Cqyi1o400SzHwwHtX&aHtOT2Q6L""8,q0	''t0CX(NO	
 EtDlDU379-=DtDH9 R^^**1h	BCCr]   c                    t        | |d      }t        | j                               }|j                  |t        j
                  j                         t        | |      S r  )r  r_   r   insertr   r  r  r  )r   r   r  s      r[   r  r  *  sE    
3
"CQZZ\"IS%''++&9r]   c                    t        | |      }t        | t              sJ t        |t              sJ |j                  | _        | S r   )r  ra   r:   rc   r  s      r[   
unsqueeze_r  2  s>    
As
Ca###c9%%%XXAFHr]   c                   t         j                  j                  j                  j	                  t        j                  |            }t        | j                               }|dk  r|||z   z  }d|cxk  r	||z   k  sJ  J |S r  )	rJ   rS   r  r  r  r   sympifyr   r   )r   r   r  r  s       r[   r  r  ;  sr    
''


$
$
2
25==3E
FCqzz|D
Qwtf}#dVm#####Jr]   r7  c                    t        | |d      }t        j                  j                  j	                  | j                         |         dz  }t        | |d|      }t        | |||dz        }t        |t        |            S )Nr   r&   )	r  rJ   rS   r  r  r   r  rH  sigmoid)r   r   new_lenr   r  s        r[   glur  D  so    
3
"Cgg44QZZ\#5FG1LGq#q'"Aq#w!,Aq'!*r]   c                N     |rt         j                           fd}d|_        |S )Nc                 x    d }t        j                  |t        j                  j                  g| i |      S )Nc                d    t        | t        j                        rt        j                  |       S | S r   )ra   r+   r2   r:   r   r   s    r[   wrap_tensorsz7fallback_handler.<locals>.handler.<locals>.wrap_tensorsS  s%    *4Q		*B9##A&IIr]   )pytreetree_mapr+   FallbackKernelr   )rj   r   r  kernels      r[   handlerz!fallback_handler.<locals>.handlerR  s<    	J "++226KDKFK
 	
r]   T)r   r   _is_fallback_handler)r  r  r  s   `  r[   r  r  N  s&    f
 $(G Nr]   c                 .    t        j                  d       y )NzjTorchinductor does not support code generation for complex operators. Performance may be worse than eager.)warningswarnr   r]   r[   _warn_complex_not_supportedr  `  s    MMtr]   c                h   | j                         rt                y| j                  ry| j                  t        j
                  k(  r|syt        |j                  t        j                  j                        xrr |j                  t        j                  j                  t        j                  j                  t        j                  j                  t        j                  j                  fv xsE t        |j                  t        j                  j                        xr t!        |j                         S y)z0Do not support reading or writing to this tensorTF)r  r  is_metar   rp   float8_e8m0fnura   rW   rq   rr   r  r  r  r  rq  
_scaled_mmrB   )rm   rY   s     r[   unsupported_input_tensorr  i  s    ||~#%yyww%&&&
 t{{EJJ$9$9: 		  

""''	Y 4;;

(=(=>W74;;CW

 
	
 r]   c                *   t         j                  j                  t        j                  j
                  j                  j                  f}||j                  |v r| j                         ryt        | |      ry| j                  xr t        j                  S )z2Do not support writing tensor but can read from itFT)r  r  r   rp   rI   r  r  r  rW   r  r  is_cpur)   disable_cpp_codegen)rm   rY   supported_complex_viewss      r[   unsupported_output_tensorr    so     					,,44 DKK+BBq||~4(882222r]   c                R     j                   t        j                  j                  u ry j                  dk(  ry j                   t        j
                  j                  u ry fd}t        j                   j                  i  j                  D ]  } ||d      s y  | d      S )NFplaceholderc                D   t        | t        j                  j                        syd| j                  vryt        j                  | j                  d         D ]F  }t        |t        j                  j                        s(|rt        |      s7 yt        |      sF y y)NFr  T)ra   rp   fxNoderM  r  tree_leaves_subclasses
FakeTensorr  r  )inp_out_node	is_outputrM  rY   s      r[   check_skip_conditionzCfallback_node_due_to_unsupported_type.<locals>.check_skip_condition  s    ,6)))&&|'8'8'?@ 		 DdE$5$5$@$@A,T48+D$7		  r]   )r  T)
rW   r  view_as_complexr  rV   lift_fresh_copyr  arg_tree_leavesrj   r   )rY   allow_cpu_inputsr  r   s   `   r[   %fallback_node_due_to_unsupported_typer    s    {{d**222ww- {{d**222* %%tyy@DKK@ u5  55r]   c                *   | t         vs|s
J d|         |rt        t        j                  d            rt	        | g      rt
        j                  r&| t        j                  j                  j                  v si|sgt        j                  j
                  j                  r4dt        j                  j
                  _        t        j                  d       t        d|  d      fd}t!        | t        j"                  j$                        r*| j'                         D ]  }t)        | |      } ||        y t!        | t        j"                  j*                  t        j"                  j,                  f      r	 ||        y t/        d|  d	t1        |              )
Nz*both a fallback and a decomp for same op: CIFznA make_fallback error occurred in suppress_errors config, and suppress_errors is being disabled to surface it.zmake_fallback(a.  ): a decomposition exists, we should switch to it. To fix this error, either add a decomposition to core_aten_decompositions (preferred) or inductor_decompositions, and delete the corresponding `make_fallback` line. Get help from the inductor team if unsure, don't pick arbitrarily to unblock yourself.c                n    t        |        t        |         t        | d       t        |             S Nrs  )r   r   r
  r  )op_overloadlayout_constraints    r[   register_fallbackz(make_fallback.<locals>.register_fallback  s;    !+.(!+/@AG $G[)
 	
r]   zUnsupported fallback z with type )r-   r   osgetenvr.   r)   fallback_randomrp   _decompdecompositions_for_rngextra_random_decomps_dynamosuppress_errorslogwarningr   ra   rq   r   r   r   rr   HigherOrderOperatorRuntimeErrorrO  )rV   r  r  override_decompr  olr  s    `     r[   make_fallbackr,    sQ   ^# 
4RD96 	4!t$ ""emm::OOO ==//38EMM  0KKH RD !f f
 	

 "ejj112,,. 	+B!"b/Kk*	+ 
B..

0N0NO	P"22$k$r(LMMr]   c                T    d}| D ]  }||z  }	 t        |t        j                        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   tensorrp   r0  )r  numelr  s      r[   philox_rand_offsetr1    s2     E 	%u{{++r]   c                B  	
 t        j                  || t         j                  j                  |             j	                         
|j                         |j                         		
fd}t        j                  ||t        |             }t        |       }||fS )Nc                   t        j                   g       t        j                        }t        j                   g       t        j                        }t        j                  t        j
                   |       t        j                        |      }t        j                  ||      }t        j                  |      S r   )rI   r   rp   r  r   r/  rand)	r%  seed_index_exproffset_index_exprrand_index_exprr&  r   offset_loader
random_posseed_loaders	        r[   rF  zphilox_rand.<locals>.inner_fn  s     ,,{2DLLr):EKKH''NN:e,ekk:<M
 
 ||FE**r]   rG  )
r+   r  FlexibleLayoutcontiguous_stridesmake_indexerrI  r7   r   r_   r1  )r   seedr  r  rl   r   rF  random_values_nodeoffset_noder8  r9  r:  s        `   @@@r[   philox_randrA    s     
,,T2	
 ln  ""$K&&(M+ #))Dz	 %T*K{**r]   c           	         t         j                  r\t        j                  t        j
                  t        j                  j                  t        j                  j                  | ||            S t        d      )Nz&should be handled in replace_random.py)r)   r   r  r  r:   r   r+   r  r  native_dropoutr  r   )r   ptrains      r[   rC  rC  "  sY    $$T%8%8%@%@!QN
 	

 EFFr]   c                x   t         j                  s-| j                         t        j                  d      k(  sJ d       | j                          t        |      dk(  st        |d   t              rt        j                  j                  nt        j                  j                  }t        j                  || g|  | S )Nrz  Tthis should be handled in decomps unless config.fallback_random or the device is CPUr   )r)   r   rd   rp   rl   r^  r   ra   r   r  
bernoulli_Tensorr+   InplaceBernoulliFallback)r   rj   r  s      r[   rH  rH  -  s    !!Q\\^u||E7J%J ^J IIK t9>ZQ7 	__## 
 Q66Hr]   c                    t         j                  s-| j                         t        j                  d      k(  sJ d       t        t        |       g| S )Nrz  rG  )r)   r   rd   rp   rl   rH  rq  )r   rj   s     r[   bernoulli_prL  <  sG    !!Q\\^u||E7J%J ^J eAh&&&r]   c                    t         r   r   )r   s    r[   _foobarrO  E  s    
r]   c                .    t         j                  d       y )Nz1using triton random, expect difference from eager)r&  info)salts    r[   _warn_triton_randomrS  J  s    HH@Ar]   c                 J    t        t        j                  j                         y r   )rS  rJ   rS   creation_timer   r]   r[   warn_triton_randomrV  O  s    --.r]   c                     |j                  dd       t        | i |S t        j                  r|j	                  dd        t        | i |S t        d      N	generatorz-should have been handled in replace_random.py)rN  fallback_rand_generatorr)   r   popfallback_rand_defaultr   rj   r   s     r[   r4  r4  [  sV    zz+t$0&777			

;%$d5f55
H
IIr]   c                     |j                  dd       t        | i |S t        j                  r|j	                  dd        t        | i |S t        d      rX  )rN  fallback_randn_generatorr)   r   r[  fallback_randn_defaultr   r]  s     r[   randnra  e  sV    zz+t$0'888			

;%%t6v66
H
IIr]   c                l    t        j                  |      }t         j                  j                  | |      S r   )r+   get_stride_orderExternKernelrequire_stride_order)input_tensorr  stride_orders      r[   inductor_force_stride_orderrh  o  s)    &&v.L??//lKKr]   c                    t        d      )Nz.should be handled in fuse_seed_creation_pass()rN  )rl   s    r[   inductor_seedrj  u  s    
I
JJr]   c                z    t                t        j                  t        j                  | t        |                  S r   )rV  r:   r   r+   RandomSeedsr>   )r  rl   s     r[   inductor_seedsrm  z  s)    BNN5-2GHIIr]   c                |      fd}t        j                   j                          j                         |g       S )Nc                L    t        j                  j                               S r   )rI   	load_seedget_name)r   r%  seedss    r[   rF  z&inductor_lookup_seed.<locals>.inner_fn  s    }}U^^-u55r]   rG  )r7   r   rd   r   )rr  r%  rF  s   `` r[   inductor_lookup_seedrs    s9    6 !oo	 r]   r  c                 	 t         j                  rJ dv sJ g | } t        j                  }|j	                         }t        j                  ||| t
        j                  j                  |       |      j                         |j                         		fd}t        j                  |||g |       }|j                          |S )N)r4  ra  rt  c                     t        t               g       t        j                   |       t        j                              S r   )r   rI   r/  rp   r  )r%  moder9  r:  s    r[   rF  z!inductor_random.<locals>.inner_fn  s7    !wsD!ONN:e,ekk:
 	
r]   rG  )r)   r   rp   rH  r+  r+   r  r;  r<  r=  rI  r7   r   r^  )
r   r>  rw  r  r   rl   rF  r&  r9  r:  s
     `     @@r[   inductor_randomrx    s    %%%%$$$$T7DMME%%'FtR..AA$GPVln  ""$K
 w	F NNMr]   c               f   	 t         j                  rJ g |}t        j                  }|j	                         }t        j                  |||t
        j                  j                  |      |      j                         |j                         	 	fd}t        j                  |||g |      S )Nrt  c           	        t        j                   g       t        j                   |       t        j                        t        j                  t        j
                        t        j                  t        j
                              S r   )rI   	randint64r/  rp   r  r0  )r%  highlowr9  r:  s    r[   rF  z"inductor_randint.<locals>.inner_fn  sV    }}ONN:e,ekk:NN3,NN4-	
 	
r]   rG  )r)   r   rp   r0  r+  r+   r  r;  r<  r=  rI  r7   r   )
r}  r|  r   r>  r  r   rl   rF  r9  r:  s
   ``      @@r[   inductor_randintr~    s     %%%%T7DKKE%%'FtR..AA$GPVln  ""$K
 w	 r]   c                    | j                         | j                         d   | j                         d   | j                         d   z  | j                         d   fS Nr7  r   )rq  r   
get_stridetbs    r[   _boundaries_helperr    sO    

b
a2==?1--
	 r]   c                H    | j                         | j                         d   fS r  )rq  r  r  s    r[   _sorter_helperr    s    ;;="--/"---r]   	out_int32rightsidesorterc               J   
 d } |       r ||      r
9 |      s1 t        t        j                  j                  d       |||      S ||dk(  rd|rt        j
                  nt        j                  
|j                          j                          j                          t         j                               dk(  r

 fd}n	
 fd	}|j                         }t        j                  |
||j                  
      }	|	j                          |	S )Nc                ^    t         j                  j                  | t        j                        S r   )rJ   rS   r[  r\  	BUCKETIZEr  s    r[   r-  zsearchsorted.<locals>.<lambda>  s     AGG$7$7
N$$% r]   Fr  r  r  Tr(   c           
          |       }t        j                  |t              dd n
t              d       S d      S )Nr   r  sorter_indicesrI   	bucketizer  r  )r  r  index_dtyper  sorted_sequencer  values_loaders     r[   rF  zsearchsorted.<locals>.inner_fn	  sV    $C=="?3%~t>&3I'-~t  <= r]   c                             }d fd}t        j                  |t               |      d n
t              d       S  |            S )Nc                    | j                         }t        j                  t        j                  t
        j                  d t        |d d d d       D                    S )Nc              3  ,   K   | ]  \  }}||z    y wr   r   )r   r  ri   s      r[   r   zNsearchsorted.<locals>.inner_fn.<locals>.get_flattened_index.<locals>.<genexpr>	  s     &UAq1u&U   r7  )r  rI   r/  r   r  operatorr   r   )r  stridesr  r  s     r[   get_flattened_indexz;searchsorted.<locals>.inner_fn.<locals>.get_flattened_index	  sU    --/~~$$ &UWSb\3sPR89T&U  	 r]   r  )r  r:   r  )r  r  r  r  r  r  r  r  s   `  r[   rF  zsearchsorted.<locals>.inner_fn	  sh    $C =="?3#O4%~t>&3I'-~t  <Ov;V r]   rG  )r  r  searchsortedrI  rp   r  r0  rI  r^  r   r   rd   r7   r   r  )r  selfr  r  r  r  validate_bucketizerF  rl   r&  r  r  s   `  ` `    @@r[   r  r    s    /!$''9&'AT 1 1 8 8eT
 	
 DGO!*%++K$$&M 
?##%&!+
	 
		 	0 __Fzz	F NNMr]   r  r  c                  t        j                               dk(  sJ t        j                  j	                  | t
        j                        r.t        j                  j	                  t
        j                        s/ t        t        j                  j                  d      | |      S j                          | j                         }| j                         |rt        j                  nt        j                   fd}t#        j$                  ||| j                               }|j                          |S )Nr(   Fr  r  c                \     |       }t        j                  |t              d      }|S r  )rI   r  r  )r%  r  r  
boundariesr  rT  r  s      r[   rF  zbucketize.<locals>.inner_fnS	  s6    5!--z*
 r]   rG  )r   r   rJ   rS   r[  r\  r  r  r  r  rI  r^  rd   rI  rp   r  r0  r7   r   )	rc  r  r  r  rl   rF  r&  r  rT  s	    ` `   @@r[   r  r  5	  s     z""$%*** 	
E>#;#;<GG
N,D,DEQ 5 55Q:%
 	
 F$$&L!*%++K
 ~~	F NNMr]   c                    t        j                  t        j                  t        j                  j
                  ||f      \  }}||fS r   )r  tree_map_onlyr+   r2   rd  require_stride1r   rj   r   s      r[   require_denser  r	  s;    ''
		2??22T6NLD& <r]   c                    t        j                  t        j                  t        j                  j
                  ||f      \  }}||fS r   )r  r  r+   r2   rd  require_contiguousr  s      r[   r  r  y	  s;    ''
		2??55f~LD& <r]   c                    t        j                  t        j                  t        j                  j
                  ||f      \  }}||fS r   )r  r  r+   r2   rd  r{   r  s      r[   r{   r{   	  s=     ''
		2??==f~LD& <r]   c                    t        j                  t        j                  t        j                  j
                  ||f      \  }}||fS r   )r  r  r+   r2   rd  r  r  s      r[   r  r  	  s;    ''
		2??884.LD& <r]   c           	        t        | t        j                        rm|j                         D cg c]4  }t        |t        j
                        r|j                  j                  n|6 }}t        j                  j                  | |      S t        | t              r/| j                         D ci c]  }|t        | |   ||          c}S t        | t        t        f      r" t        |       d t!        | |      D              S | S c c}w c c}w )Nc              3  :   K   | ]  \  }}t        ||        y wr   constrain_to_fake_tensor)r   r   f_as      r[   r   z+constrain_to_fake_tensor.<locals>.<genexpr>	  s!      
19!S$Q,
r  )ra   r+   r2   r  rp   SymIntrY   exprrd  require_exact_stridesr   r  r  r   r_   rO  r   )r   fake_argr  meta_stride_exprkeys        r[   r  r  	  s    #ryy!GOGX
BC:a6AFFKKA=
 
 44S:JKK#tNQhhj
GJC)#c(HSMBB
 	
 
C%	'tCy 
=@h=O
 
 	
 J


s   9D*Dc           
         t        d t        | |      D              } |j                         D ci c]  \  }}|t        |||          }}}| |fS c c}}w )Nc              3  :   K   | ]  \  }}t        ||        y wr   r  )r   r   r  s      r[   r   z,constrain_to_fake_tensors.<locals>.<genexpr>	  s#      C 	!h/r  )r   r   r   r  )rj   r   	fake_argsfake_kwargsr   r   s         r[   ry   ry   	  sb      y1 D JPXAa)![^<<XFX< Ys   Ac           
         fdt        fdt        || j                        D              }|j                         D ci c]  \  }}| || j                  |          }}}||fS c c}}w )Nc           	        t        | t        j                        rst        j                  |j                  d   j                         t        j                  j                  j                        }t        j                  j                  | |      S t        | t              r,| j                         D ci c]  }| | |   ||          c}S | S c c}w Nr  )ra   r+   r2   rc  rM  r  rJ   rS   r  r  rd  re  r   r  )r   fx_argrg  r  apply_constraints       r[   r  z1constrain_to_fx_strides.<locals>.apply_constraint	  s    c299%..E"))+QWW-=-=-G-GL ??77\JJc4 LOHHJWSC)#c(F3K@@WW
 Xs   1Cc              3  6   K   | ]  \  }} ||        y wr   r   )r   r   r  r  s      r[   r   z*constrain_to_fx_strides.<locals>.<genexpr>	  s"      *5#vf%r   )r   r   rj   r   r   fx_noderj   r   r   r   r  s        @r[   r}   r}   	  ss      9<T7<<9P D EKLLNSDAqa!!W^^A%677SFS< Ts   !A*c                      fdt        fdt        t        | j                              D              }|j	                         D ci c]  \  }}| d| j
                  |          }}}||fS c c}}w )Nc           
     
   t        |t        j                        s|S |j                  d   }|j	                         D cg c]4  }t        |t
        j                        r|j                  j                  n|6 }}t        j                  |j	                               }|r<|d   dk7  r4t        t        t        t        |j                                                 }j                  t         j"                  j$                  k(  r| dv rt        |      dk(  sJ d}|j&                  s t        j(                  j+                  ||      S dj                  t
        j,                  j                   j.                  j$                  k(  xr | dk(  }t        |t0              sJ t        |j                               d	vr|S t        j2                  |      r3t        j4                  t        j(                  j7                  |      |      S t        |t              rY|j9                         It        j2                  |      r3t        j4                  t        j(                  j7                  |      |      S |rt        |j                               }g }	|j9                         }
t        t        |j                               d
z
        D ]q  }t:        j<                  j>                  jA                  ||   d      s1|
3t:        j<                  j>                  jA                  |
|   d      sa|	jC                  |       s dgt        |      z  }d
|d<   d
}t        t        |      dz
  dd      D ]  }||d
z      dk7  r|||d
z      z  }||	v r9t:        j<                  j>                  jA                  ||d
z      z  d      rd||<   Vt:        j<                  j>                  jA                  |z  d      stE        |      z  }|||<    t        j(                  jG                  ||      S t        j2                  |      r3t        j4                  t        j(                  j7                  |      |      S t        |t              rY|j9                         It        j2                  |      r3t        j4                  t        j(                  j7                  |      |      S fd}t        |jH                  t        jJ                        rQ ||      sI ||jM                               r3t        j4                  t        j(                  j7                  |      |      S t        j(                  j+                  ||      S c c}w )Nr  r7  r   )r   r   r   )r   r(   r&   r   r   r   r   r   r(   r&   c                    t         j                  j                  j                  | j	                         d         z  dk(  S r  )rJ   rS   r  	size_hintr   )r   	ALIGNMENTs    r[   
is_alignedz=sdpa_constraint.<locals>.apply_constraint.<locals>.is_aligned.
  s4    GG$$..qzz|B/?@9LQRRRr]   )'ra   r+   r2   rM  r  rp   r  rY   r  rc  r_   r  r   r   r   rW   r  0_scaled_dot_product_efficient_attention_backwardr  is_cudard  re  rI   '_scaled_dot_product_efficient_attentionr:   is_aligned_realized_tensortry_match_insignificant_stridesrealize_inputmaybe_get_striderJ   rS   r  statically_known_equalsre   r=   r  rc   r  r  )r  r   r  meta_valr  r  rg  effn_attn_fwd_biasr  expanded_dimsmaybe_strideri   out_stridesr  r  r  r  s                  @r[   r  z)sdpa_constraint.<locals>.apply_constraint	  s   #ryy)J;;u%GOGX
BC:a6AFFKKA=
 
 **8??+<=L,1s3<<>/B)C DEL NNDDLLMv|$)))
 (L??77\JJ 	 NNyy~~EEMMN q 	 #y)))s||~f,J((i855--c24D 
 sF#$$&2--c9=55--c24D  CLLN+HM //1L3s||~.23 ,77##;;<LQ<OQRS ,((@@aRST!((+, $X.KKOF3x=1,b"5 (q1u%*#hq1uo5F %ww''??#AE*Y6 *+A ww''??@RTUV$VY7)CF!'A!($ ??88kJJ((i855--c24D 
 sF#$$&2--c9=55--c24D 	S chh,c?coo/0==55c:<L  33CFFi
s    9U%c              3  >   K   | ]  \  }\  }} |||        y wr   r   )r   r  r   r  r  s       r[   r   z"sdpa_constraint.<locals>.<genexpr>:
  s*      C#v 	c6*s   r7  )r   r`   r   rj   r   r   r  s   `    @r[   sdpa_constraintr  	  s}    yGv  "+Cgll,C"D D IOW1a!"a):;;WFW< Xs   "A5)r  c                   |}| j                         |j                         k7  rt        || j                               }| j                         |j                         k7  rt        || j                               }| j	                         |j	                         k7  r%t        || j	                               }t        |      S t        |      S r   )rd   r  r   r   r   r  rq  )r  r  r  r   rg   s        r[   rr  rr    s    ACNN,,a*+~~3==?*Q()}}#,,.(Q(Sz8Or]   )memory_formatc          	         t        j                  | j                         | j                         | j	                         t        | j                                     S NrG  )r7   r   rd   r   rI  r_   r   )r   r  s     r[   rq  rq  $  s@     ||~kkmAJJL!	 r]   c                   g }t        | t              rt        | j                  t        j                        rw| j                  } t        | t        j                        rF|j                  | j                                | j                  } t        | t        j                        rFt        |       } t        |       } |r;| j                  } |d d d   D ]  }t        j                  | |      }  t        |       } | S )Nr7  r  )ra   r:   rc   r+   r  re   
get_layoutrq  )r   reinterpret_view_layoutsr  s      r[   clone_preserve_reinterpret_viewr  /  s    !!YJqvvr7I7I$JFFB../$++ALLN;A B../ aLaAFF.tt4 	:F""&9A	:aLHr]   r  c               \    fd}t        j                  t        |      || g      S )Nc                D    t        j                  | d   z  z         S )Nr   r   rI   r/  )r%  r   r  r  s    r[   rs   ziota.<locals>.fnQ  s!    ~~dU1Xo5UCCr]   rG  )r7   r   r>   )lengthr  r  r   rl   requires_gradrs   s    ```   r[   iotar  G  s1    D V$x	 r]   c           	     
   | j                         |j                         k(  sJ | j                         t        | d      t        j                  j
                  j                  t        j                  d            r| j                            z   t        j                  j
                  j                  d       t        j                  j
                  j                  | j                                   t        t        |      | j                               }|j                         fd}t        j                  | j!                         | j                         |t#        | j                                     S )Nr   c           	         t        j                  t        j                  t        j                  |    t        j
                        t        j                  t        j
                               |        |             S r   )rI   r  eqr/  rp   r  )r  r   r%  
src_loaderr  s    r[   rF  z select_scatter.<locals>.inner_fnh  sX    yyFFs3x5uekk2 sOSM
 	
r]   rG  )r   rI  r  rJ   rS   r  r  r   r  r   r  r  r  r  r7   r   rd   r_   )r   r  r   r%  rF  r  r  s     `` @@r[   select_scatterr  \  s   ;;=CMMO+++}}H
3
"Cww%%ehhua&89

S))GGq%(GGeQZZ\#%67
3$ajjl
3C"J
 ||~kkmAJJL!	 r]   c           	     L   	
  j                         |j                         k(  sJ  j                         
t         d       j                            t        j
                  j                         \  t         j                               }t        z
  dz
  z         |<   t        ||      }|j                         		 
fd}t        j                   j                          j                         |t         j                                     S )Nr   r(   c                   	dk(  rk(  r
dk(  r |       S t        j                  |    t        j                        }t	        |       t        |    	z
  
      <   g }	dk7  rZ|j                  t        j                  |t        j                  t        j                  	      t        j                                     k7  rZ|j                  t        j                  |t        j                  t        j                        t        j                                     
dk7  rz|j                  t        j                  t        j                  t        |    	z
  d
      t        j                        t        j                  dt        j                                     |sJ t        j                  t         j                   |      }t        j"                  |fdt%              rdnd      }t        j&                  || |             S )Nr   r(   c                             S r   r   )src_idxr  s   r[   r-  z1slice_scatter.<locals>.inner_fn.<locals>.<lambda>  s    Jw' r]   r.  )rI   r/  rp   r0  r_   r#   re   r2  r   r  r3  r  r%   r1  r   r  r4  r5  r   r  )r  r6  r;  src_valr  r   r  r  r  r  r  r   r  s       @r[   rF  zslice_scatter.<locals>.inner_fn  s   A:#/daic?"..S5;;7s)C5 0$7A:KKNN5<<#6D (?KKNN5<<#4ekkB 19KKNN'C5(8!TBEKK LLEKK0	 t$/**' #A

 yySM
 	
r]   rG  )r   rI  r  r   r+   r  normalize_start_endr_   r#   r  r7   r   rd   )r   r  r   r  r  r  src_sizerF  r  r  r  s   ` ````  @@@r[   slice_scatterr  z  s    ;;=CMMO+++}}H
3
"Czz|C H11!S%EJE3AJJL!HS5[D1H5t<HSM
h
C"J,
 ,
\ ||~kkmAJJL!	 r]   c                j    t        | t        t        f      rt        |       dkD  rt	        | d         S | S r  )ra   r_   r   r   _unwrapr   s    r[   r  r    s-    !dE]#A
qt}Hr]   r   rl   r  
pin_memoryc                   t        |d t        j                  fv d|        t        | d       t        t	               t
              rxs t        j                  nxs t        j                         g }t         t        j                        r fd}nt         t        t
        f      r fd}nt               dk(  s't         d   t        t
        f      rBt               dk  r4|j                  t        j                  t                             fd}n5t        j                  j!                  t        j"                   |            S t%        j&                  t)        |      ||	      S )
Nlayout=r  c                0    t        j                        S r   r  r%  rc   r   s    r[   rF  ztensor.<locals>.inner_fn  s    >>$..r]   c                0    t        j                        S r   rI   r1  r  s    r[   rF  ztensor.<locals>.inner_fn  s    <<e,,r]   r   r   c                      fdt              dk(  rt        j                  d      S  dt                    S )Nc           	     j   | |k  sJ || z
  dk(  rt        j                  |          S || z
  dz  | z   }t        j                  t        j                  t        j                  d   t
        j                        t        j                  |t
        j                               | |       ||            S )Nr(   r&   r   )rI   r1  r  r3  r/  rp   r0  )r  r  midbinary_searchrc   r   r%  s      r[   r  z/tensor.<locals>.inner_fn.<locals>.binary_search  s    s{"{;!#<<UU;;U{q(50yyFFuQx=S%++6 "%-!#s+ r]   r   )r   rI   r1  )r%  r  rc   r   s   `@r[   rF  ztensor.<locals>.inner_fn  s7     4yA~||Au-- CI..r]   r  rG  )r   rp   stridedra   r  r   r0  get_default_dtyper   r   r   r   re   IntegerrJ   rS   add_tensor_constantr/  r7   r   r>   )rc   r   rl   r  r  rE  rF  s   ``     r[   r/  r/    s   v$..'&0BC:~|,'$-%$2002!F$$	/ 
D5#,	'	- 
Ta:d1gs|<TaemmCI./	/( ww**LLU6:
 	
 V$	 r]   c                z    t        | t              r|t        | |      } |t        | |      } | S t	        | ||      S )Nr  )ra   r:   r   r  r/  )rc   r   rl   s      r[   	as_tensorr	    sD    $	"D%(DT6*D$eF33r]   c                8    t        | t        j                        S rF  r.  )rc   s    r[   long_tensorr    s    $ekk**r]   c                   ddl m}  |t        j                  j                  j
                  t        j                  j                  j                  d         }|J t        |      dk(  sJ |       t        t        |j                                     \  }}t        j                  |||       }t        j                  j                  |      |_        t        j                  j!                  |       t        j                  j                  j                  d   }t#        |t$        j&                  t$        j(                  t$        j*                  f      r|j,                  j.                  S t1        j2                  |      S )Nr   )resolve_unbacked_bindingsunbacked_bindingsr(   r  )%torch.fx.experimental.symbolic_shapesr  rJ   rS   r  r  rT   rM  r   r*  iterr   r+   DynamicScalarregister_bufferr   register_operationra   rp   r  SymFloatSymBoolrY   r  r   r  )rc   r  r  binding_symkeypathbufferr  s          r[   _local_scalar_denser    s   O 2	""AGG$8$8$=$=>Q$R ((( !Q&9(99&   %6%<%<%> ?@Kk7D9F''))&1FKGGv& ''


#
#E
*C#ennemmDExx}}}}S!!r]   c                     y r   r   )rc   r   s     r[   _assert_scalarr  <  s     r]   )rl   r  c                    y r   r   )r   r   r  r   rl   r  s         r[   _assert_tensor_metadatar  F  s     r]   c                   | t        | t        t        f      st        d      rj                  t        t        t        f      rfd}nTt        t
        j                        rfd}n3t        j                               dk(  sJ j                         fd}t        j                  ||t        |            S )Nr   c                0    t        j                        S r   r  r%  r   r   s    r[   rF  z_full.<locals>.inner_fnT  s    <<u--r]   c                0    t        j                        S r   r  r   s    r[   rF  z_full.<locals>.inner_fnY  s    >>%//r]   r   c                     g       S r   r   )r%  value_loaders    r[   rF  z_full.<locals>.inner_fn`  s    ##r]   rG  )ra   r   r   r   r   r   r   r   r   rI  r7   r   r_   )
fill_valuerl   r   r   rF  r   r#  s     `  @@r[   _fullr%  M  s    Ej3,/GE74K%#u&	. 
E5;;	'	0 5>>#$)))((*	$ Dz	 r]   c                8     t        t        |            | fi |S r   create_tensor_liketensor_constructor)r   r$  r   s      r[   r  r  k  s     =0<=aJ6JJr]   c                "     d d d d dd d fd
}|S )NF)namesr   rl   r  r  r  c                   t        | d u d       t        |d t        j                  fv d|        t        | d       t        |      }|xs t        j                         }t        |      dk(  r6t        |d   t        t        t        j                  f      rt        |d         }|D ]  }t        |t        j                        sJ  |D cg c]  }t        j                  |       }}t        |||      S c c}w )Nnamed tensorsr  r  r(   r   )r   rp   r  r>   r  r   ra   r_   r   Sizer  r   r  r%  )	r+  r   rl   r  r  r  r   r  r$  s	           r[   rT  z!tensor_constructor.<locals>.innerr  s     	5D=/26dEMM22gfX4FGz><0v&2002t9>ja4

2KLa>D  	3A!!U\\222	3)-.AQ..Z55 /s   C8r   )r$  rT  s   ` r[   r)  r)  p  s#     6. Lr]   )r+  r   r  rl   r  r  c                    t        | d u d       t        |      }t        |      dk(  r6t        |d   t        t
        t        j                  f      rt        |d         }t        |d ||||      S )Nr-  r(   r   r   r  rl   r  )	r   r>   r   ra   r_   r   rp   r.  empty_strided)r+  r   r  rl   r  r  r   s          r[   r  r    sf     u}o.6"F
4yA~*T!WtUEJJ.GHT!W~d%v* r]   c                      dddddd fd
}|S )zZ
    Shim to convert X_like(...) into X(...).  For example zeros_like() into zeros().
    NF)r   rl   r  r  r  c                  t        | d       t        |d t        j                  fv d|        || j                         }nt	        |      }|xs | j                         }t        | j                               } |||||      S )Nr  r  r  )r   rp   r  r   r   rd   r_   r   )r   r   rl   r  r  r  r   creation_fns          r[   _constant_likez*create_tensor_like.<locals>._constant_like  s     	z><06dEMM22gfX4FG=KKME 'E)1<<>AJJL!fV

 	
r]   r   )r4  r5  s   ` r[   r(  r(    s     duTX
 r]   c                *    t        t        |             S r   r'  )r$  s    r[   r  r    s    0<==r]   c                     d d d d d fd
}|S )Nr0  c               n   t        |t        t        f      sJ t        | d       t        |d t        j
                  fv d|        t        |      xs | j                         }|xs | j                         }|D cg c]  }t        j                  |       }}t        t        |      ||      S c c}w )Nr  r  )ra   r_   r   r   rp   r  r   r   rd   r   r  r%  r>   )r   r   r   r  rl   r  r  r$  s          r[   _new_constantz#new_constant.<locals>._new_constant  s     $u...z><06dEMM22gfX4FGU#4q{{})1<<>*./Qa //Zv!6tDD 0s   =B2r   )r$  r9  s   ` r[   new_constantr:    s    tDT	E r]   r0  c          	     ~    || j                         }|| j                         }t        |d ||t        |      |      S Nr0  r   rd   r1  r>   )r   r   r   r  rl   r  s         r[   	new_emptyr>    sF    }~V$ r]   c                  t        | t        t        f      sJ t        |t        t        t        d       f      sJ t	        | d       t	        |d t
        j                  fv d|        t        |      xs t        j                         }|xs t        j                  d      j                  }t        |      }t        d|||       }|j                          |j                  j                  }t        j                   |j                  dgt#        |       z        |_        t        |t$        j&                        sJ | D cg c]  }t)        j*                  |       } }|r#|D cg c]  }t)        j*                  |       c}nt$        j,                  j/                  |       }t%        j0                  ||| |      |_        |S c c}w c c}w )Nr  r  r.  r   )r$  rl   r   r   )rE  )rl   r   r   r  )ra   r_   r   rO  r   rp   r  r   r  r/  rl   r>   r%  r^  rc   dataclassesreplacer   r+   r  r   r  r;  r<  r  r  )	r   r  r   r  rl   r  	pointwiser  r  s	            r[   r1  r1    s{    dT5M***ftUDJ7888:~|,v$..'&0BC<5#:#:#<E/u||C(//F6"F6TJI^^  F%%fkk1#D	/JFKfb//000%)*ELLO*D*  #))Qa)11$7 
 NN	FM  +)s    G$Gc          	     ~    || j                         }|| j                         }t        ||||t        |      |      S r<  r=  )r   r   r  r   r  rl   r  s          r[   new_empty_stridedrD    sH     }~V$ r]   c                
   |D cg c]+  }t         j                  j                  j                  |      - }}t	        t        t        |            |j                        }t        j                  j                  | |      S c c}w )N)r  )rJ   rS   r  r  sortedr   r   __getitem__r+   rd  re  )r   r  r  rg  s       r[   copy_stridedrH    sb    >DEagg11!4EFE%F,&2D2DEL??//<@@ Fs   0B c                V    |j                  d      J d        t        |      | fi |S )Nr   z(dtype should be handled by decomposition)rN  r)  )r   r$  r   s      r[   fullrJ    s5    ::g*V,VV*)j)$9&99r]   c                   t        | t              sJ |j                         dk(  rt        | |j	                               S | j	                         t              dk(  }t        | |      |rt        | dg      } dg| j                         |j                         fd}t        j                  | j                         | j                         ||j	                               S )Nr   r(   c                    t        |       } t        j                   |                }t        |       dk(  r|g} n|| <    |       S r  )r_   rI   indirect_indexingr   )r  
gather_idxr   index_loaderr   r  s     r[   rs   zgather.<locals>.fn1  sL    3i**<+<d3iH
s8q=,C!CH}r]   rG  )ra   r:   	get_numelr>  r   r   r  r  rI  r7   r   rd   r   )	r   r   r%  sparse_gradr  rs   rO  r   r  s	    `    @@@r[   gatherrR    s     a###AENN,--::<DY!^F
3
'C1qcNs}}H$$&L ||~kkm~~	 r]   c                0  	
 |r- t        t        j                  j                        | ||||      S |rJ t	        | t
              sJ t	        |t
              sJ dt        |j                               v sJ | j                         	|j                         t        |j                               | j                         
g |j                         
dd  	
fd}t        j                  | j                         | j                         |      S )Nr   r(   c                    t        |       t              k(  sJ |  d         | d        }t        j                  |d         gg | d  z   } |      S )Nz != r   )r   rI   rM  )r  	var_index
weight_idxindices_loaderindices_ndimr  weight_loaderweight_sizes      r[   rs   zembedding.<locals>.fnT  s{    3x3x=(@SEhZ*@@("3}#56	++I{1~FG K
K
 

 Z((r]   rG  )r  r  	embeddingr  ra   r:   strr   rI  r   r   r7   r   rd   )weightr  padding_idxscale_grad_by_freqsparsers   rW  rX  r  rY  rZ  s         @@@@@r[   r[  r[  B  s   7 6 67G[*<f
 	
 :fi(((gy)))C))+,,,,&&(M((*Nw'')*L//#K6!!#6k!"o6H) )   " 	 r]   c           
        t        d | D              s)J d| D cg c]  }||j                          c}        t        d | D              rt        d      t	        |       D cg c]  \  }}t        |t              s| }}}t        |      dkD  sJ d       d gt        |       z  }t        |t        |D cg c]  }| |   	 c}       D ](  \  }}|j                         |k7  rt        d      |||<   * ||fS c c}w c c}}w c c}w )Nc              3     K   | ]T  }|P|j                         t        j                  t        j                  t        j                  t        j
                  fv  V y wr   )r   rp   r0  r  r   r}  r   ri   s     r[   r   z.check_and_broadcast_indices.<locals>.<genexpr>e  sA      = 	
%++u{{EJJLLs   AAz)indices must be int64, byte or bool. Got c              3     K   | ]7  }||j                         t        j                  t        j                  fv  9 y wr   )r   rp   r   r}  rc  s     r[   r   z.check_and_broadcast_indices.<locals>.<genexpr>l  s1      78q}%**ekk22s   ?5?zFallback for bool indicesr   z"requires at least 1 non-None indexz.Fallback when indices is on a different device)r  r   r  r   r`   ra   r:   r   r   r   rd   )r  rl   ri   r   
valid_idxsnew_indicess         r[   check_and_broadcast_indicesrg  d  s/      
 4G4eqWXWdQ[[]4e3fg   <C  ""=>> )' 2O1jI6N!OJOz?QD DD&3w<'KJ 1
3S1GAJ3S TU 1 <<>V#%&VWWA 
""# 5f P 4Ts   C=C='D D:Dc	           
     H   dt        dd        D ]  \  }	}
|
|	z
  dk7  sd t              D cg c]  \  }}|	| |    c}}g | t              t              z   d  d   }rz   nd | z   |d  z   f
d}|fS c c}}w )NFr(   Tr   c                  
 t        |       t              k(  sJ t              t        
      k(  sJ t              }g }d   }rdn|}d}t        d   dz         D ]}  }||k(  r||z  }|   *|t        |       k  sJ |j                  | |          |dz  }<|   }|J 
|   }|j                  t        j                   || |||z          |	              g || |d  }|S  |      S )Nr   r7  r(   r   wrap_neg)r   r   re   rI   rM  )r  r  	new_indexfirst_tensor_indexstart_offsetnext_idxri   loaderr   r   indexed_sizer  indices_loadersnon_consecutive_tensorsoutput_sizetensor_indicestensor_sizerk  r  s            r[   rs   z*index_output_size_and_inner_fn.<locals>.fn  sN   3x3{++++?#s<'8888;	+A.3q9K~b)A-. 	AL D qz!#c(***  X/A(+)))#A  ))s<,2EFG#!)		&

^
	 %,yE(92EEr]   )r   r`   r   )r  r  ru  rv  rr  rq  r  r   rk  previouscurrentri   r  rm  rs   rs  rt  s    ````````      @@r[   index_output_size_and_inner_fnry  ~  s    $ $ 1CD +'X"&*#+ ,5W+=MC6!9MKSKS&[)9C<O)O)Q"RSK'*!K/ ++,,-./ 	 F  FD ?_ Ns   
BBc                    t        | ||      \  }}}t        j                  | j                         | j	                         ||      S r  )index_impl_helperr7   r   rd   r   )r   r  r   rt  rF  r   s         r[   
index_implr|    sB    0GUCK1||~kkm	 r]   c                   t        |t        t        f      sJ | j                         t	        || j                               \  }}t        |      dkD  sJ d       |D cg c]  }||j                         nd  }}t        ||d      j                               }| j                         }t        t        |            D cg c]  }||   	||    }	}|rd|	v rd|vrt        d      t        t        |            D cg c]  }||   	 }	}t        ||||||	d ||	      \  }
fd}|
|fS c c}w c c}w c c}w )Nr   z Must have at least one valid idxz0index is out of bounds for dimension with size 0rj  c                       |             S r   r   )r  index_inner_fnr  s    r[   rF  z#index_impl_helper.<locals>.inner_fn  s    s+,,r]   )ra   r_   r   rI  rg  rd   r   r   r   
IndexErrorry  )r   r  r   rk  ru  ri   rr  rv  r  rq  rt  rF  r  r  s               @@r[   r{  r{    sS   ge}---}}H9'1<<>RG^~"F$FF"KRSa!-q}}TASOS w~a01::<=KZZ\F',S\':U!gaj>TF1IULUl"q';KLL',S\':;!F1I;L;"@
#K- .009 T V <s   !D2
D7D7D<c                    	 t        | |d      S # t        $ r? | j                           t        t        j
                  j                  d      | |      cY S w xY w)NTr   Fr  )r|  r   r^  r  r  r%  rI  r   r  s     r[   r%  r%    sT    
!WD11 
			M

 1 1uMw
 	

s    AAAc                    t        | |d      S )NFr  )r|  r  s     r[   _unsafe_indexr    s    a..r]   c                6    t        t        |       |||dd      S )NTFr   may_realizeindex_put_impl_rq  r   r  r   
accumulates       r[   	index_putr    s     a'6:Tu r]   c                6    t        t        |       |||dd      S )NFr  r  r  s       r[   _unsafe_index_putr    s     a'6:U r]   c                    |j                         | j                         k7  rt        || j                               }|rt        | |      }t        | t	        |d   ||             S r  )rd   r  r   r  r  )r  r  r   r  s       r[   index_put_as_masked_fillr    sV    T__..%!23D% T5UD9::r]   c                |    t        j                  t        j                  j                  j
                  | |||       | S r   )r+   IndexPutFallbackrJ   rS   rT   rW   r  r  r   r  s       r[   index_put_fallbackr  &  s-    ,,33T7FJWKr]   c                $    t        | |||dd      S )NTr  r  r  s       r[   
index_put_r  +  s    gvz4 r]   c                $    t        | |||dd      S )NFTr  r  r  s       r[   _unsafe_index_put_r  2  s    gvzD r]   c           
     b   |rBd }d  ||       |j                         v r$t        fd|D              s|j                          |j                         dk(  rt	        |      dk(  r|d   j                         t        j                  t        j                  fv r_|d   }t        t	        |j                               t	        | j                                     D ]  }t        |d      } t        | |g||      S t        j                         rt        | |||      S |D ]E  }	|	|	j                         t        j                  t        j                  fv s7t        | |||      c S  | j                         }
t	        |
      }|rLt        | j                               r3|dk(  rt!        | dg      } t        | |||      } |dk(  rt!        | g       } | S t#        || j                               }	 t%        || j'                               \  }}|D cg c]  }||j+                         nd  }}t-        | t.              sJ | j                          |dk(  rt!        | dg      } t1        ||d      j                               }t        t	        |            D cg c]  }|
|   	 }}t3        |
|||||d |      \  }}t5        ||      }t7        j8                  | j'                         | j                         |j+                         |||rdnd 	      }t7        j:                  d t7        j<                  |       |
      }t>        j@                  jC                  |      |_"        t>        j@                  jG                  |       |dk(  rt!        | g       } | S # t(        $ r t        | |||      cY S w xY wc c}w c c}w )Nc                F   t        | t        j                        r| j                  } t        | t        j                        r| j                         } t        | t        j                        r| j                  } t        | t        j                        r| j                         S d S r   )	ra   r+   r:   rc   r  r  r  Bufferrq  r   s    r[   try_get_namez%index_put_impl_.<locals>.try_get_name<  sg    !R\\*FF!R[[)MMO!R]]+FF#-a#;1::<EEr]   c                   t        | t              rt        | j                  t        j                        r| j                  j                         } t        | t        j                        xr t        | j                  t        j                        xrh t        | j                  dd       xrO | j                  j                  j                  t        j                  j                  j                  j                  k(  S y)Nr  F)ra   r:   rc   r+   r  r  r  rd  r   r  rW   rp   rI   r  randpermr  )indices    r[   indice_slice_from_randpermz3index_put_impl_.<locals>.indice_slice_from_randpermE  s     &),FKK1U002vr}}5 V"6;;@VY=V ++22eiinn6M6M6U6UU	 r]   c              3  .   K   | ]  } |        y wr   r   )r   r  r  s     r[   r   z"index_put_impl_.<locals>.<genexpr>S  s      E
39&v.E
r  r(   r   r7  r  
atomic_addrl   r   rF  rE  output_indexerscatter_moder   r  rc   )$r  r  r^  rP  r   r   rp   r   r}  r   r   r  r  $are_deterministic_algorithms_enabledr  rC   r  r   rg  rd   r   rI  ra   r:   r_   ry  r  r+   Scatterr  MutationLayoutSHOULDREMOVErJ   rS   r  r   r  )r  r  r   r  r   r  r  r;  r   r%  r  x_ndimru  ri   rr  rv  rq  expected_vals_sizerF  scatterr  r  s                        @r[   r  r  9  sz   	F	 !6!6!88 E
=DE
 B
 NN 	aLAAJ  "uzz5;;&??qzs4==?+S-AB 	'AT2&D	''tffjII 113!$DD  I!2uzz5;;6O!O%dGVZHHI ]]_F[FB4>>CSTQ;qc?D!$DQ;b>Dfdnn./FE"=T__&#
 LSSa!-q}}TASOSdI&&&LLN {D1# w~a01::<=K',S\':;!F1I;L;#A	$  F./F jj nn##%!%/\TG ,,T2F
 ''))&1FKGGv&{D"~Ka  E!$DDE T <s   )N
 
N'N,
N$#N$r  c                   	 t        | |dd      \  }}j                         | j                         		fd}t        j                  | j	                         | j                         ||      S )NFrj  c                     j                   t        j                  k7  r+t        j                          t        j                        }n        }t        j
                  | fd      S )Nc                                     S r   r   )_unsafe_index_fnr  self_loaders   r[   r-  z8_unsafe_masked_index.<locals>.inner_fn.<locals>.<lambda>  s    K8H8M,N r]   )r   rp   r   rI   r   r5  )r  mask_valr  fillr;  mask_loaderr  s   ` r[   rF  z&_unsafe_masked_index.<locals>.inner_fn  sK    ::#||K$4ejjAH"3'Hzz($NPTUUr]   rG  )r{  rI  r7   r   rd   r   )
r  r;  r  r  rE  r   rF  r  r  r  s
    ` `   @@@r[   _unsafe_masked_indexr    sw    "3gUU#FA ""$K""$KV V  nn	 r]   c           	         t        ||d      }| j                         }t        t        |            D cg c]#  }||   rt	        ||   ||    ||   dz
        nd % }}t        | ||d      S c c}w )Nr   r(   T)r  )r  r   r   r   r  r  )r   r;  r  r   masked_valuer  ri   clamped_indicess           r[   #_unsafe_masked_index_put_accumulater    s    vq)LJJLE s7|$ 7>ajgaj58)U1X\2dJO  Q$OOs   (A-c                V    t        j                  |t        j                  ||             S r   )rI   rJ  rK  r   minmaxs      r[   r  r    s    ;;sCKKQ/00r]   c                P    t        |       }t        ||||      }t        ||       |S r   )rq  r"  copy_)r  r  r   r  r  r  output_views          r[   as_strided_scatterr    s*    4[FVT6>BK	+sMr]   c                2    t        t        |       |||fi |S r   )scatter_rq  )r   r   r%  r  r   s        r[   r  r    s    E!Hc5#888r]   r  include_selfc               :   t        |t              }t        | ||j                         t	        t
        j                  |r|j                         n
t        |            |r|j                         j                  nd|      rt        j                  | ||||||       |S y )Nznot implr  )ra   r:   rH   r   r	   rp   r   rO  rd   r+   ScatterFallback)r  r  r   r%  r  r  r  src_is_tensors           r[   scatter_fallbackr    s     sI.MU[[]#--/S	J!.J 	%	
 r]   r  c                  |dv sJ |[t        t        j                  t        j                  j
                  j                  j                        }t        || ||||      }||S |dk(  rd}n|dk(  rd}t        | ||||      S )N)Nr   multiplyr  r   sumr  prod)
r   r  r  rJ   rS   rT   rW   _overloadnamer  scatter_reduce_)r  r   r%  r  r  r  fallback_results          r[   r  r    s    ....~dmmQWW-A-A-H-H-V-VW*sE3v
 &""	:	4eS&99r]   c                0    t        t        |       |||      S r   )scatter_add_rq  r   r   r%  r  s       r[   scatter_addr  )  s    a#uc22r]   c                     t        | |||d      S )Nr  )r  r  s       r[   r  r  .  s    1c5#u55r]   c                4    t        t        |       ||||fi |S r   )r  rq  )r   r   r%  r  reduction_typer   s         r[   scatter_reducer  3  s    58S%nOOOr]   )r  c          
         |dv sJ t        t        j                  j                               dk(  r dt        j                  j                         v sJ d       t	        t
              rt               t        t        j                  j                   |||      }|r|S t	         t              sJ dt        |j                               v sJ t         j                               }|dk(  rt         dg       t	        t              r)t        j                               dk(  rt        dg      t	        |t              r)t        |j                               dk(  rt        |dg      }|j                         dk(  r S t                j!                          |j#                         t	        t              rj#                         nd  fd} fd	}	d
 }
|st%        j&                   j)                          j                          fd|j                         |d       }t%        j*                  d t%        j,                         |      }t.        j0                  j3                  |      |_        t.        j0                  j7                  |       t%        j&                   j)                          j                         |	|j                         | |
|            }t%        j*                  d t%        j,                         |      }t.        j0                  j3                  |      |_        t.        j0                  j7                  |       |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                    j                         }t        |      }t        |       }t        j                   |       |dk(  rdn|   d      |<   |S )Nr   r(   F)rk  )r   r   r_   rI   rM  )r  r  r  indirect_idxr   rO  r  s       r[   r  z'scatter_reduce_.<locals>.output_indexerf  sU    5zCy11DAIq5:
S r]   c                `    r |       S t        j                  j                               S r   rI   r1  r   )r  r  r  r  s    r[   rs   zscatter_reduce_.<locals>.fnp  s*    c?" <<T^^%566r]   c                    | dk(  ry| J y )Nr  r  r   r  s    r[   backend_reduce_strz+scatter_reduce_.<locals>.backend_reduce_strw  s    U? >!>r]   c                L    t        j                  dj                               S r  r  )r%  r  s    r[   r-  z!scatter_reduce_.<locals>.<lambda>  s    3<<4>>3C#D r]   r  r  )r   r  r  r   ra   r   r  r  r  r:   r\  r   r   r  rP  r  r^  rI  r+   r  rd   r  r  rJ   rS   r  r   r  )r  r   r%  r  r  r  r  r  r  rs   r  zero_outr  r  rO  r  s   `` `          @@r[   r  r  8  s   BBBBD  **,-2T))3355U UU	6 #vc"&  !O dI&&&C)****t}}DqyD1##y!c#,,.&9Q&>3n%#ENN,<(=(BUQC A
c
"CLLN$$&L&0i&@"dJ7 ::??$.."D>>#)
 ""006

 gg--f5	""6*
 jj nn~~%'/G ,,T2F
 ''))&1FKGGv&qyD"~Kr]   c                T   | j                          | j                         | j                          d  | j                         d   }D cg c]+  }t        j                  j
                  j                  |      - c}t        |      k(  sJ |}t        |      D cg c]
  \  }}||z   c}}t        |      D ]  \  }}	|		d|	z  |<    fdfd}
t        j                  | j                         | j                         |
g ||      S c c}w c c}}w )Nrf  c                   t        j                  | t        j                        } r8t        j                  | t        j
                  dt        j                              } t        j                  | t        j
                  |t        j                              } t        j                  | t        j                        } t        j                  | |d      S )N      ?Fr  )
rI   r/  rp   rH  r   r1  rH  r   r  rM  )r   rM  r   exacts      r[   scale_fnz$upsample_nearestnd.<locals>.scale_fn  s     NN1emm,3<<U]];<AGGAs||E5==9:LLEKK($$QE::r]   c                    |  d  }| d   } 
g |t        |      D cg c]  \  }}} 	|||       c}}}      S c c}}}w r   )r   )r  r   r  ri   r  r   i_sizes
inv_scalesnr  r  s         r[   rs   zupsample_nearestnd.<locals>.fn  s`    H!HWaW#aW:UVVJAq$8Aq$'VW
 	
Vs   ArG  )realize_hintrI  r   rJ   rS   r  r  r   r   r`   r7   r   rd   r   )r   rt  scales_xr  r  batchri   o_sizesorM  rs   r  r  r  r  s      ``      @@@@r[   upsample_nearestndr    s    NN}}HjjlA23GJJL1"EBIJQqww55a8JGx=AG$'$9:DAq!a%:Jh' (5%KJqM(	;
 
 ||~kkm!!!	 9 K
 ;s   0D'D$c                "    t        | ||fd      S )Nr(   r  r  r   rt  rW  s      r[   upsample_nearest1dr    s    avi1==r]   c                $    t        | ||fdd      S )Nr(   Tr  r  r  r  s      r[   _upsample_nearest_exact1dr    s    avi1DIIr]   c                $    t        | |||fd      S )Nr&   r  r  r   rt  scales_hscales_ws       r[   upsample_nearest2dr    s     ax.BaHHr]   c                &    t        | |||fdd      S )Nr&   Tr  r  r  s       r[   _upsample_nearest_exact2dr    s     ax.BatTTr]   c                &    t        | ||||fd      S )Nr   r  r  r   rt  scales_dr  r  s        r[   upsample_nearest3dr
    s     ax8.LPQRRr]   c                (    t        | ||||fdd      S )Nr   Tr  r  r  s        r[   _upsample_nearest_exact3dr    s#     	;8X6!4 r]   c                ,     t         fd|D              S )Nc              3  J   K   | ]  }t        j                  |        y wr   r  )r   r   r   s     r[   r   z$_create_constants.<locals>.<genexpr>	  s     6Aa'6s    #)r   )r   rj   s   ` r[   rG  rG    s    6666r]   c                    | j                         | j                         fd}t        j                  | j	                         | j                         |      S )Nc                    t        |       } t        |       t              k(  sJ D ]  }|   dz
  | |   z
  | |<     |       S r  )r_   r   )r  r   r  r  r  s     r[   rp  zrev.<locals>.loader  sW    3i3x3u:%%% 	3Cc
Q#c(2CH	3 }r]   rG  )rI  r   r7   r   rd   r   )r   r  rp  r  r  s    ` @@r[   revr    sM     }}HJJLE ||~kkm	 r]   c                   d } |       ryt        |      dk7  st        | j                               dk7  ry| j                          t        | t        j
                        rt        | j                  t        j                        rt        | j                  j                  t        j                        s>t        j                  rNt        | j                  j                  t        j                        r | j                  j                  j                  sy| j                          t	        j                  |       \  }}|j                  }|d   dk7  ry|d   dk7  s|d   dk7  s|d   dk7  ry|d   }|dk(  ry|d   }|j                   d   }	||	|z   k  ry| j                  j                  j                  }
|j                   d   |j                   d   |z   g}|t"        j$                  j&                  |
<   t)        | ||j                  |j*                        }t-        |d|	|	|z         }t/        ||       t0        d	   d
xx   dz  cc<   |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                    t         j                  j                  } | yt        | j                        }t        |      dk(  rD|d   j                  t        j                  j                  t        j                  j                  fv ryy)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.
        Tr(   r   F)rJ   rS   rT   r   rU   r   rW   r  mmr  addmm)rT   rU   s     r[   _padding_can_be_fusedz6inplace_constant_pad_nd.<locals>._padding_can_be_fused-  sk     ww++l(()u:?uQxGGOOJJ3
  
 r]   Nr   r&   r(   r   r   )r   r  r  inductorinplace_padding)r   r   r^  ra   r+   r:   rc   r  r  r)   can_inplace_pad_graph_inputInputBufferr   freeze_layoutr  r  r   rJ   rS   buffer_to_padded_sizer"  r  r  fill_r   )r   paddingr$  r  r   r  r  npadstride0rowsizebufnamepadded_size	resized_xsliced_xs                 r[   inplace_constant_pad_ndr&  "  s   (  7|qC

-2
 IIK
 q",,'!&&"--0qvv{{B$5$5622qvv{{BNN; vv{{OO((+IAvmmGqzQqzQ'!*/WQZ1_1:DqyajGkk!nG4ffkkG;;q>6;;q>D#89K-8AGG!!'*		I iQg7T>JH	(JZ*+q0+r]   c                   t        |      dz  dk(  sJ t        d |D              rt        |       S t        j                  rt        | |      }|r|S | j                         }t        t        t        t        |d d d   |dd d                           t        |      t              z
  g D ]?  \  }}j                  t        j                  j                  j                  |      |f       A t        |d        }g t        |d        D ]C  \  \  }}	}
j                  |
       |j                  t        j                   |
|z   |	z                E t        |      t        |      k(  sJ  t#        | j%                                     fdfd}| j'                         t)        j*                  | j-                         | j%                         ||      S )Nr&   r   c              3  &   K   | ]	  }|d k(    ywr   Nr   r   rD  s     r[   r   z"constant_pad_nd.<locals>.<genexpr>  s     
#a16
#r  r(   c                B    g }t         	d        D ]J  \  }\  }}}|dk7  r|j                  t        |d             |dk7  s0|j                  t        ||             L t	        j
                  t        j                  |      }t        j                  | 
fd      S )Nr   c                             S r   r   )r%  r  s   r[   r-  z/constant_pad_nd.<locals>.mask.<locals>.<lambda>  s     r]   )	r   re   range_mask_lowrange_mask_highr   r  rI   r4  r5  )r%  r;  r  r}  r|  r  boundsr$  
mask_sizesr  r  s   `     r[   r;  zconstant_pad_nd.<locals>.mask  s    (+E!"Ivz(J 	:$C#tfaxN323qyOC89		:
 $/zz$ 7DDr]   c                    t        | d        }t        | d        D ]  \  }\  }}|j                  ||z
          t        |      t        |       k(  sJ  |      S r   )r_   r   re   r   )r%  rl  r  r}  _highbounds_precompr;  r  s        r[   	offset_fnz"constant_pad_nd.<locals>.offset_fn  si    rO	!$U12Y!? 	(C#uS3Y'	(9~U+++Ir]   rG  )r   r  rq  r)   r  r&  r   r_   r  r   re   rJ   rS   r  lookup_precomputed_sizer   r  r   r   rI  r7   r   rd   )r   r  r$  rg   r  lhrt  r}  r|  r   r4  r/  r3  r;  r0  r  r  s     `         @@@@@@r[   r  r    s   L1"""

#7
##Qx%a*=J JJLE(4GCaCL'!$Q$- @ABCFE
S[ A 68N P1qww//GGJANOP uRay/KJ qr3 <dT$5<<s
T(9:;< {s5z)))-q{{}-j9JE E }}H||~kkm	 r]   c                    t        j                  t        j                  | t        j                        t        j                  t        j                  |      t        j                              S r   )rI   r2  r/  rp   r0  r   r  )ri   r}  s     r[   r-  r-    s@    66q%++&u}}S)5;;7 r]   c                    t        j                  t        j                  | t        j                        t        j                  |t        j                              S r   )rI   r3  r/  rp   r0  )ri   r|  s     r[   r.  r.    s7    66q%++&tU[[) r]   c                V    t        j                  t        | |      t        | |            S r   )rI   r4  r-  r.  )ri   r|  r}  s      r[   
range_maskr;    s'    88q#4  r]   c                      j                          d   j                         xs dgz   fd}|S )Nr   c                N   | d   |  d  t        j                  t        j                  t	              D cg c]  }t        |   |   
|   z   
|          ! c}      }	rt        j                  |fd      S t        j                  |fd      S c c}w )Nc                 4     t               g       S )Nr   )constant_boundary_condition)r   ihpad_fill_valueprefixr   s   r[   r-  z;constant_boundary_condition.<locals>.load.<locals>.<lambda>  s$    O3A~3O"fNrN r]   c                      g        S r   r   )rA  rC  r  s   r[   r-  z;constant_boundary_condition.<locals>.load.<locals>.<lambda>  s    (>V>b>*B r]   )r   r  rI   r4  r   r;  r5  )r%  ri   r;  rA  rC  r   r$  r7  rB  r  	padding_hr   r  s      @@r[   r<  z)constant_boundary_condition.<locals>.load  s    uC45\HHLQRUJWqZ1qtil2Yq\MBW
  JJ 
	
 D"BJO
	
 Xs   $B"
)r   rI  )	r   r$  r  rB  r   r<  r7  rE  r  s	   ````` @@@r[   r@  r@    sE     	


cTUA}}H$A39I
 
( Kr]   dilationc                  |dgt        |      z  }t        | d||   z  z   ||   ||   dz
  z  z
  ||   dz
  z   ||         }|rt        | d||   z  z   ||   ||   dz
  z  z
  d||   dz
  z  z   ||         }t        j                  j                  j                  |dz
  ||   z  | z
  ||   z
        dk\  r>|dz  }t        j                  j                  j                  d|||   z  | z
  ||   z
         t        j                  j                  j                  ||z
        dk(  r0t        j                  j                  j                  ||       d}||fS |}||fS )Nr(   r&   r   F)r   r#   rJ   rS   r  r  r  r  )	r   ri   kernel_sizer  r  	ceil_moderG  x_outx_alts	            r[   pooling_sizerM    s   3W%	A
NXa[KNQ,>??6!9q=Qq	E
 '!*nqk[^a/01 6!9q=!" 1I
 77%%uqyF1I&=&AGAJ&NOSTTQJEGG&&q%&)*;a*?'!**LM77%%eem49GG))%7I ) E)r]   c               l    t        | |      } t        j                  t        j                  |       }|dkD  S )N   )rD   r   r  r  rH  )rI  n_dimwindow_sizes      r[   %should_fallback_max_pool_with_indicesrR  
  s/    {E2K""8<<=Kr]   assert_fallbackc                  |dk(  rdg|z  }|dk(  rdg|z  }|s|}t        ||      }t        ||      }t        ||      }t        ||      }t        | t              sJ t        |      |k(  sJ t        |      |k(  sJ t        |      |k(  sJ t        |      |k(  sJ t        | j	                               |dz   |dz   fv sJ t        ||      }|||k(  sJ |||||fS )Nr   r(   r&   rP  )rD   ra   r:   r   r   rR  )r   rI  r  r  rG  rP  rT  use_fallbacks           r[   max_pool_checksrX    s    !|#+1}3;{E2K&%(F7E*GHe,Ha###{u$$$v;%w<5   x=E!!!qzz|EAI 66668ERL"...<??r]   c                  | j                          | j                  d   }| j                   d  }t        t              D 	cg c]  }	t	        ||	   |	||       c}	 \  }
}| j
                  }|t        j                  u rdn5|j                  rt        d      nt        j                  |      j                  }t        |      t        |
      z   }t              st        |      st        d D              rt        | |      n| j                         fd}t!        j"                  d| | j%                         |||||      }t!        j"                  d	| | j%                         t        j&                  ||||      }t)        |j*                  j*                  t               r|j-                          t)        |j*                  j*                  t               r|j-                          ||fS c c}	w )
NrF  F-infc              3  &   K   | ]	  }|d kD    ywr  r   r  s     r[   r   z)_max_pool_with_offsets.<locals>.<genexpr>L  s     ,EqQU,Er  r?  c                    | d   }|  d  }t              D cg c]  }||   	|   z  ||   |   z  z   |   z
  ! }} 
g ||      S c c}w r   r   )r  reduction_idxrC  bhri   rA  rG  rP  r  r  r  s         r[   fn_innerz(_max_pool_with_offsets.<locals>.fn_innerQ  s    Wuf%\ 5\
 UVAY=#3hqk#ABWQZO
 
 &2''	
s   $Ar  r  
input_noderl   	dst_dtypern  rF  rE  reduction_rangesargmax)r  r  r   r   rM  r   rp   r   r  r   r  r  r_   r  r@  rI  r8   r   rd   r0  ra   rc   r^  )r   rI  r  r  rG  rJ  rP  r  dhwr  dhw_outr   	min_valuer  r`  r&  offsetsr  s     ``` `          @r[   _max_pool_with_offsetsrj  -  s    NNGGGeVE
''5&'
C
 5\	

  A;X

GY GGE EJJ 	$66eFmEKK<N<R<R  E{T']*H
7|s9~,EH,E)E.q)G==?( ( ||~$	F ||~++$	G &++""I.',,##Y/7?s

s   G8c           
        t        |      }t        | |||||d      \  }}}}}t        j                  d      5  t	        | ||||||      \  }}	|t        |	t        j                        fcd d d        S # 1 sw Y   y xY w)NFrS  rO  unroll_reductions_thresholdrV  )r   rX  r)   r   rj  r   rp   r|  )
r   rI  r  r  rG  rJ  rP  r   r&  ri  s
             r[   !_low_memory_max_pool_with_offsetsrn  x  s     E 1@	1-K(A 
"	5 
50
 x44
5 
5 
5s   1A55A>c                P   t              | j                         t        j                  t	        j
                  t        j                              fd}t        j                  | j                         t        j                  || j                               }|S )Nc                     	|       }t        j                  |
      }t        j                  |      } | |      }t        j                  t        j
                  | d        t        j                        S r   )rI   rM  r*   _flattened_index_to_ndr/  _flatten_indexrp   r0  )r  r  offset_sympyr^  idhwincrements_to_index
input_sizerI  rP  offsets_loaderrQ  s        r[   offsets_to_indicesz4_pool_offsets_to_indices.<locals>.offsets_to_indices  sm    $,,V[A&==lKX"36~~))$
E670CDekk
 	
r]   rG  )r   rI  r   r  r   r  r  rH  r7   r   rd   rp   r0  r   )	ri  rI  rv  ru  rx  r  rP  rw  rQ  s	    ```  @@@r[   _pool_offsets_to_indicesry    s     E((*N--	 0 0{ KLK
 
 !!#kk#!	G Nr]   c                L    t        |      fd}t        | |||      S )Nc                    |  d  }t              D cg c]  }||   |   z  ||   |   z  z   |   z
  ! c}S c c}w r   r]  )r  r^  r_  ri   rG  rP  r  r  s       r[   ru  zD_low_memory_max_pool_offsets_to_indices.<locals>.increments_to_index  s_    %\ 5\
 UVAY=#3hqk#ABWQZO
 	
 
s   $<)r   ry  )ri  rI  rv  r  r  rG  ru  rP  s      ``` @r[   '_low_memory_max_pool_offsets_to_indicesr|    s-     E
 $j*= r]   c           	         t        | |||||      \  }}}}}t        | ||||||      \  }}	t        |	|| j                  | d  |||      }
||
fS )NrV  )rX  rj  r|  r  )r   rI  r  r  rG  rJ  rP  r   rg   ri  r  s              r[   _max_pool_with_indicesr~    s}     1@	;1-K(A *	;9ELC 6	G <r]   c           	     &    t        | |||||d      S Nr&   rV  r~  r   rI  r  r  rG  rJ  s         r[   max_pool2d_with_indicesr          "	;9A r]   c           	     &    t        | |||||d      S Nr   rV  r  r  s         r[   max_pool3d_with_indicesr    r  r]   c                   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(  sJ t        |      dk(  sJ t        |j                               dv sJ | j	                          | j                         }t        |t              rt        |j                  j                  t              r|j                  j                  }	t        j                  d t        j                  |	j                         |	j                         |	j                               |	      }
|
j                          |
j                         }n|j                         }|d uxr |d   dk(  xs |d uxr |d   dk(  }t        d |D              rt!        | ||||      S |j                         ^ }}| j                         ^ }|j#                         | j#                         t%        |j                               }t'        fdt)        d   dz        D              t'        fd	t)        d   dz        D              z  }|d
kD  rt!        | ||||      S |j                         fd}t        j*                  | j                         | j                         ||      }|rt        j,                  j/                  |      S |S )Nr   r(   r&   r  )rl   r   r   r  c              3  &   K   | ]	  }|d k7    ywr  r   r  s     r[   r   z3max_pool2d_with_indices_backward.<locals>.<genexpr>9  s     
$a16
$r  c           
   3  t   K   | ]/  }t        |d    z  t        d |d    z
  d    z        z
  d       1 ywr   r(   Nr  r   r7  rI  r  s     r[   r   z3max_pool2d_with_indices_backward.<locals>.<genexpr>F  F       	ANSQQ%7F1I$EFFJ   58c           
   3  t   K   | ]/  }t        |d    z  t        d|d    z
  d    z        z
  d        1 ywr(   r   Nr  r   wrI  r  s     r[   r   z3max_pool2d_with_indices_backward.<locals>.<genexpr>J  r  r  rO  c                   | ^ }}}t        j                  |z  |z   t        j                        }|d   z   }|d   z   }t        j                  t	        |d   z
  d   z   d         t        j                        }t        j                  t	        |d   z
  d   z   d         t        j                        }t        j                  t	        |d         dz   t        j                        }t        j                  t	        |d         dz   t        j                        }t        j
                  |t        j                  dt        j                              }t        j
                  |t        j                  dt        j                              }t        j                  |t        j                  t        j                              }t        j                  |t        j                  t        j                              }d }	t              D ]3  }
t              D ]!  }t        j                  |t        j                  |
t        j                              }t        j                  |t        j                  |t        j                              }g |t        j                  t        j                  |t        j                  |t        j                  dt        j                                    d   d      t        j                  t        j                  |t        j                  |t        j                  dt        j                                    d   d      } |      } |      }t        j                  ||      }|	;t        j                  ||t        j                  dt        j                              }	t        j                  t        j                  t        j                   ||      t        j                   ||            |      }t        j                  |t        j                  |	|      |	      }	$ 6 |	J |	S )Nr   r(   Fr  r7  r.  )rI   r/  rp   r  r#   rJ  r1  rK  r   r   rM  ra  r  r  rH  r4  r3  )r  rC  r7  r  
index_testphstartpwstartphendpwendgradientph_pw_phpw
grad_indexindex_actual	grad_partr   r;  grad_loaderh_window_sizerW  indices_sizerI  r  pooled_heightpooled_widthr  w_window_sizewidths                      r[   rs   z,max_pool2d_with_indices_backward.<locals>.fnY  sA   A^^AIM5;;?

N
N..QQ'&)3VAY?
 ..QQ'&)3VAY?
 x6!9595;;Gx6!9595;;G++gs||Au{{'CD++gs||Au{{'CDE3>>-#MNE3>>,#LM' #	WC]+ "WWWWcll3&DEWWWcll3&DE))Bs||Au{{7S(TU$R(# ))Bs||Au{{7S(TU$R(#
  .j9'
3	|Z8#"yyy#,,sEMM*J H 88FF2u-FF2u- D  #yyswwx/KXVHE"W#	WH ###r]   rG  )ra   r:   r   r   r  r  rc   r7   r+   r  r;  rd   r   decide_layoutr  r  )fallback_max_pool2d_with_indices_backwardrI  r_   r  r   r   rd  r  )grad_outputr   rI  r  r  rG  rJ  r  	gO_striderc   x_bufferx_strideis_channels_last_batch_heightr   r  rQ  rs   rg   r  r  rW  r  r  r  r  r  s     ```               @@@@@@@@r[    max_pool2d_with_indices_backwardr    s    !|a&1}q6a###{q   v;!w<1x=Aqzz|&&& ,,.I!YJqvv{{I$Fvv{{$$$$(nn&]]_
 
 	 &&(%%' ,A!1A 3)A,!"3  
$8
$$8K(Iw
 	
  jjlVWe&1&:&:&<#Q|((*N))+KAJJL!H {1~)* M  {1~)* M
  -/KR8K(Iw
 	
 ##%L9 9v 

%%'##%	C 44S99
r]   c                6    | j                         fd}|S )Nc           
        	
 |\  	|\  
|\  }}t        j                  t        j                  t        j                  z   t        j
                        t        j                  |t        j
                              t        j                  t        j                  
	z   t        j
                        t        j                  |t        j
                                    }t        j                  |	 
fd      S )Nc                 ,     g  z   z         S r   r   )h_start_indexrA  iwrC  w_start_indexr  s   r[   r-  z3pad_adaptive_loader.<locals>.load.<locals>.<lambda>  s&    HNvN}r'9N=2;MNO r]   )rI   r4  r3  r/  rp   r0  r5  )rC  
incrementsstart_indicesend_indicesh_end_indexw_end_indexr;  r  rA  r  r  pad_valr  s   `      @@@@r[   r<  z!pad_adaptive_loader.<locals>.load  s    B'4$}#. [xxFF}r15;;?{EKK8 FF}r15;;?{EKK8	
 zzOO
 	
r]   rI  )r   r  r<  r  s    ` @r[   pad_adaptive_loaderr    s    }}H
, Kr]   c                    t        j                  | ||      }t        j                  |||      }t        j                  | ||      }t        j                  |||      }	||||	fS )N)out_diminp_dim)r   r	  )
start_index	end_indexh_inw_inh_outw_outr  r  r  r  s
             r[    compute_indices_adaptive_poolingr    sa    %%k5$OM##IudKK%%k5$OM##IudKK+}kAAr]   c                d    |\  }}|\  }}	t        | |||||	      \  fd}
|
S )Nc                   | ^ }}} |      } |      } |      } |      }d }	t        j                  t        d         t        d               D ]$  \  }
} |||
|g||g||g      }|	|}	 ||	      }	& |	S r  )r   productr   )r  rp  rC  r_  bwr  r  r  r  r&  rA  r  r  h_end_index_fnh_start_index_fnkernel_maxes
pooling_fnw_end_index_fnw_start_index_fns                r[   rs   z _adaptive_pooling_fn.<locals>.fn  s    R(,$R((,$R(''l1o(>lSTo@VW 
	1FBR.k*	C ~#C0
	1 r]   r  )r  r  r  in_sizes	out_sizesr  r  r  r  r  rs   r  r  r  r  s     `  `     @@@@r[   _adaptive_pooling_fnr    sP     JD$LE5 	)YdE5	
 . Ir]   c                h   
 |\  }|\  }}t        | ||||      \  

fd}	|	S )Nc                   | ^ }}} |      } |      } |      } |      }d }	d }
t        j                  t        d         t        d               D ]  \  }} ||||g||g||g      }t        j                  ||z   z  |z   |z   t
        j                        }|
|}
n+t        j                  t        j                  ||	      ||
      }
|	|}	| ||	      }	 |
S r  )	r   r  r   rI   r/  rp   r0  r  gt)r  rp  rC  r_  r  r  r  r  r  maxvalmaxindexrA  r  r  r%  r  r  r  r  r  r  r  s                  r[   rs   z)_adaptive_pooling_fn_with_idx.<locals>.fn  s   R(,$R((,$R(''l1o(>lSTo@VW 	1FBR.k*	C NN#t+m;b@%++E  99SVVC%8%J~#C0)	1, r]   r  )r  r  r  r  r  r  r  r  r  rs   r  r  r  r  r  s     `  `    @@@@@r[   _adaptive_pooling_fn_with_idxr    sQ     JD$LE5 	)YdE5	
! !F Ir]   c                     j                         t        j                  k(  rt        d      t	         t
              sJ t        |      dk(  sJ  j                           j                         ^ }}}t        j                  j                  j                  |      }t        j                  j                  j                  |      }|\  }}||k(  r||k(  rt               S |dk(  s|dk(  r2g |||}t        | j                          j                               S ||z  dk(  r||z  dk(  r||z  ||z  g}t!         |      S t#        ||z   dz
  |      }	t#        ||z   dz
  |      }
t%        |      ||gz   } j                         }|	|
z  }|dkD  rt'         |      S d }d }t)        |||	|
g||g||gt*        j,                  	      t/        t1                      fd
}t3        j4                   j                         |||      }|S )Nz0'adaptive_avg_pool2d' not implemented for 'Long'r&   r   r  r(   rO  c                     t        | |z  |      S r   r#   r%  r  r  s      r[   r  z)_adaptive_avg_pool2d.<locals>.start_indexO      733r]   c                2    t        | dz   |z  |z   dz
  |      S r  r  r  s      r[   r  z'_adaptive_avg_pool2d.<locals>.end_indexR  "    g-7!;WEEr]   r  r  r  r  r  r  c                ^    t        j                   | t                     |             S r   )rI   truedivr  )r  fn_sumones_loaderr   s    r[   rs   z _adaptive_avg_pool2d.<locals>.fn`  s-    {{3+A./[1I
 	
r]   rG  )r   rp   r0  r)  ra   r:   r   r  r   rJ   rS   r  r  rq  r  rd   
avg_pool2dr=   r_   fallback_adaptive_avg_pool2dr  rI   r   r  	ones_liker7   r   )r   rt  r  r  r  r  r  o_sizerI  h_kernel_maxw_kernel_maxr  r   rQ  r  r  rs   rvr  r  s   `                 @@r[   _adaptive_avg_pool2dr  )  s   {{}#MNNa###{q   NNUD$7711$7D7711$7DLE5 u}QxzUaZ'5'%''V1;;=HHe|qTE\Q.u}dem4![))D5L1,u5LD5L1,u5LE{eU^+HKKME-KR+A{;;4F ""L1%.77F &il3K

 
		||~	
B Ir]   c                     j                         t        j                  k(  rt        d      t	         t
              sJ t        |      dk(  sJ  j                           j                         ^ }}}t        j                  j                  j                  |      }t        j                  j                  j                  |      }|\  }}|dk(  s|dk(  r\g |||}t        | j                          j                               t        |t        j                   j                               fS ||z  dk(  r||z  dk(  rt        t!        ||z   dz
  |      }t!        ||z   dz
  |      }	t#        |      ||gz   }
 j                         }||	z  }|dkD  rt%         |      S d }d }t'        ||||	g||g||gt(        j*                  	      t-        ||||	g||g||gt(        j*                  	       fd
} fd}t/        j0                   j                         |||
      }t/        j0                   j                         t        j                  ||
      }||fS )Nz,adaptive_max_pool2d not implemented for Longr&   r   r  r(   rO  c                     t        | |z  |      S r   r  r  s      r[   r  z(adaptive_max_pool2d.<locals>.start_index  r  r]   c                2    t        | dz   |z  |z   dz
  |      S r  r  r  s      r[   r  z&adaptive_max_pool2d.<locals>.end_index  r  r]   r  c           	     <     | t        t        d                  S NrZ  r  r   )r  inner_func_max_valr   s    r[   inner_fn_max_valz-adaptive_max_pool2d.<locals>.inner_fn_max_val      !#':1eFm'LMMr]   c           	     <     | t        t        d                  S r  r  )r  inner_func_max_idxr   s    r[   inner_fn_max_idxz-adaptive_max_pool2d.<locals>.inner_fn_max_idx  r  r]   rG  )r   rp   r0  r)  ra   r:   r   r  r   rJ   rS   r  r  r  rd   
ValueErrorr=   r_   fallback_adaptive_max_pool2dr  rI   rJ  r  r7   r   )r   rt  r  r  r  r  r  r  r  r  r  r   rQ  r  r  r  r  r  rir  r  s   `                  @@r[   adaptive_max_pool2dr  t  sL   {{}#IJJa###{q   NNUD$7711$7D7711$7DLE5zUaZ'5'%''V1;;=H%%++allnK
 
 	
 e|qTE\Q.D5L1,u5LD5L1,u5LE{eU^+HKKME-KR+A{;;4F ."L1%.;; 7"L1%.;;NN 
		||~!	
B 
		||~kk!	
B r6Mr]   c                h               j                          fd}|S )Nc                n    g | dz
  	z
        }t        j                  |j                               }t        j                  
z
  t        j                        }t        j                  dz
  t        j                        }t        j
                  t        j                  |t        j                        t        j                  |t        j                              }t        j                  t        j                  |d      d|      }t        j                  ||z   |z        t        j                  ||z        z
  }t        j                  |t        j                        }t        j                  ||      }t        j                  t        j                  |||      t        j                  
            S )Nr(   r   )rI   r/  r   rp   r0  r  r   float64r  r  r  r3  rM  r   r  )rC  ri   samplei_exprdiffout_sz_exprr2  seq_ir;  r   in_sz	kernel_szndimsout_szsamplessamples_loaders            r[   r<  z)_fractional_pooling_offsets.<locals>.load  s1    :& :%!)c/ :;7#4#4#67~~ei/=nnVaZ=LLu}}-s||K/W
 		#&&a0!U;		6F?e34syy%7PPUEKK0vvfk*$$SYYtUD%A5==QVCWXXr]   r  )r  r  r  r  r   r  r<  r  s   `````` @r[   _fractional_pooling_offsetsr    s?    C[F#JE#I((*NY Y Kr]   c                "    t        | |||d      S r  _fractional_max_poolr   rI  rt  random_sampless       r[   fractional_max_pool2dr        ;^STUUr]   c                "    t        | |||d      S r  r  r  s       r[   fractional_max_pool3dr    r  r]   c                t   | j                          | j                  d   | j                   d  }}t        j                  d      5  t	              D cg c]  }t        |||||       c}| j                         fd}fdt        |      t        |      z   }	| j                         }
t        j                  d| | j                         |
|
||	|      }t        j                  d| | j                         t        j                  |
||	|      }t        |j                  j                  t              r|j!                          t        |j                  j                  t              r|j!                          t#        ||| j                        }||fcd d d        S c c}w # 1 sw Y   y xY w)	NrO  rl  )r  r  r  r  r  r   c                6    | d   } g | | |            S r   r   )r  r^  rC  ru  rP  r  s      r[   r`  z&_fractional_max_pool.<locals>.fn_inner  s.    5&\FOfO':3'NOPPr]   c                ~    | d   }|  d  }t              D cg c]  } |   |||         ||   z    c}S c c}w r   r]  )r  r^  rC  bdhwr  dhw_index_fnrP  s        r[   ru  z1_fractional_max_pool.<locals>.increments_to_index  s^    5&\Fvw<D u  QQ0=3CC  s   :r  ra  re  )r  r  r)   r   r   r  rI  r_   r   r8   r   rd   rp   r0  ra   rc   r^  ry  )r   rI  rt  r  rP  r  inp_dhwr  r`  r  r   r&  ri  r  r   ru  r  s       `         @@@r[   r  r    s   NNWWWuf%qwwvw'77E	"	5 ; 5\

  (&"%

 ==?	Q	 ;k!22!! <<>(	
 ""#<<>kk(	
 fkk&&	2NNgll''3OO*[!''+>
 ww; ;

; ;s   F.F)1D.F.)F..F7c                b     j                           j                         ^ }}}t        j                  j                  j                  |      }t        j                  j                  j                  |      }|^ }}}	||z  dk(  r||	z  dk(  rt         ||z  ||	z  gd      S t        ||      }
t        ||	      }d fd}t        ||
|g||g||	gt        j                         fd}t        j                   j                          j                         |t        |            }|S )	Nr   r(   )divisor_overridec                F    t        | |z  t        j                  |            S r   )r"   r   r  r  s      r[   r  z0upsample_nearest2d_backward.<locals>.start_index;  s    uwg(>??r]   c                     | dz   ||      S r  r   )r%  r  r  r  s      r[   r  z.upsample_nearest2d_backward.<locals>.end_index>  s    EAI99r]   r  c                (     | t                    S r   )r  )r  r  r   s    r[   rs   z'upsample_nearest2d_backward.<locals>.fnJ  s    c.q122r]   rG  )r  r   rJ   rS   r  r  r  r=   r  rI   r   r7   r   rd   r   r_   )r   rt  rv  r  r  r  inp_hinp_wout_hout_wr  r  r  rs   r  r  r  s   `              @@r[   upsample_nearest2d_backwardr+  )  s"    NNJJLVUEGG2259EGG2259E&VUEu}eemq0!euneun=PQRR5%(L5%(L@: ""L1%.77F3 
		||~kkmJ	
B Ir]   c           
     (    t        | ||||||d      S )Nr&   r?  _avg_poolndr   rI  r  r  rJ  count_include_padr#  s          r[   r  r  _  )     		 	r]   c           
     (    t        | ||||||d      S )Nr   r?  r-  r/  s          r[   
avg_pool3dr3  u  r1  r]   c                v   ssdgz  t              t              t              t        | t              sJ t              k(  sJ t              k(  sJ t              k(  sJ t        | j	                               dz   dz   fv sJ | j                          | j	                         d   }| j	                          d  t        t              D 	cg c]  }	t        |	   |	|       c}	 \  }
}t              st        |      rt        | d      d}n| j                         d}t        |      t        |
      z   }| j                         t        j                  t         j"                        }|dkD  r4dk(  rt$        }nd	k(  rt&        }nt)        d
        || ||      S fd|r|r)|r|n|j*                  rdz  fd}nfd}nf	d}t-        j.                  | j1                         ||      }|S c c}	w )Nr   r(   r&   r.  r?  TFrO  r   zUnknown dim: c           	     T   | d 	  }| 	 d  }d }t        j                  t        	      D cg c]  }t        
|          c} D ]V  }t        	      D cg c]  }||   |   z  ||   z   |   z
   }} |g ||      }||}At        j                  ||      }X |S c c}w c c}w r   )r   r  r   rI   r   )r  rp  rC  r  totalri   rA  r   r  r   rI  r  r  s            r[   r  z_avg_poolnd.<locals>.fn_sum  s    UsdJ##U3Z%PeKN&;%PQ 	,BBG*MQ1Q4&)#be+gaj8MCM6C)C}U+	,  &QMs   B B%c                f    t        j                   |       t        j                              S r   )rI   rH  r1  )r  r   r  rM  r  s    r[   rs   z_avg_poolnd.<locals>.fn  s&    wwvc84cll5%6PQQr]   c                f    t        j                   |       t        j                              S r   )rI   truncdivr1  )r  divisorr   r  r  s    r[   rs   z_avg_poolnd.<locals>.fn  s'    ||F3$93<<QV;WXXr]   c                F  	 | 	 d  }g }t        	      D ]  }||   |   z  |   z
  }t        j                  ||   z   |   |   z         }s/t        j                  |d      }t        j                  ||         }t	        j
                  ||z
  t        j                        }|j                  |        t        j                  t        j                  |      }
j                  rt	        j                   |       |      S t	        j                   |       |      S r  )r   r   MinMaxrI   r/  rp   r  re   r   r  rH  r  r  r9  )r  r_  divide_factorsri   hstarthendfactordivide_factorr0  r   r   r  r7  rI  r  r  r  s           r[   rs   z_avg_poolnd.<locals>.fn  s   cTUBN3Z .A*WQZ7yy+a.!8!A$:KL("YYvq1F 99T1Q40Dvu{{C%%f-. &,,SWWnEM&&{{6#x#8-HH<<sH 5}EEr]   rG  )rD   ra   r:   r   r   r  r   r   rM  r  r@  rI  r_   r   r   r  r  rH  fallback_avg_pool2dfallback_avg_pool3dr   r  r7   r   rd   )r   rI  r  r  rJ  r0  r#  r   r  ri   r  
ceil_modeshad_paddingr  rQ  fallbackrs   r  r:  r   r  r7  rM  r  s    ``` ` `          @@@@@@r[   r.  r.    sT    #){C0K&#&F7C(Ga###{s"""v;#w<3qzz|q#' 2222NNJJL3$E	

cTUA 3Z

 1q+vw	J

E: 7|s:.q#3?==?E{T%[(HKKME""8<<=KR!8*HAX*H}SE233
 	
 *&6"K""KER R
Y Y	F 	F$ 
		||~	
B Iu

s   -H6c                   dk7  sJ d       ssddgt        | t              sJ t        |t              sJ t              dk(  sJ t              dk(  sJ t              dk(  sJ t        |j                               dv sJ | j	                          |j                         ^ }t        d|      \  }	}
t        d|      \  }}| j                         d   xs d   xs |
xs || j                         ^ }t        |j                               }|j                         }t        fdt        d   dz        D              t        fdt        d   dz        D              z  }|dkD  rt        | ||      S fd	fd
}t        j                  | j                         |||      }|S )Nr   divisor must be not zeror&   r  r(   c           
   3  t   K   | ]/  }t        |d    z  t        d |d    z
  d    z        z
  d       1 ywr  r  r  s     r[   r   z&avg_pool2d_backward.<locals>.<genexpr>3  r  r  c           
   3  t   K   | ]/  }t        |d    z  t        d|d    z
  d    z        z
  d        1 ywr  r  r  s     r[   r   z&avg_pool2d_backward.<locals>.<genexpr>7  r  r  rO  c           	     @   t        j                  d   t        j                        }t        j                  d   t        j                        }t        j                  d   t        j                        }t        j                  d   t        j                        }t        j                  d   t        j                        }t        j                  d   t        j                        }t        j                  t        j
                  | |      |      }t        j                  t        j
                  ||      |      }	t        j                  t        j                  ||      t        j                  t        j                  t        j                        |            }
t        j                  t        j                  |	|      t        j                  t        j                  t        j                        |            }t        j                  |t        j                  dt        j                              }t        j                  |	t        j                  dt        j                              }	t        j                  |
t        j                  t        j                              }
t        j                  |t        j                  t        j                              }t        j
                  t        j                  |
|      t        j                  ||	            }|S )z{
        This computes the scaling factor that we will divide an element
        by when `count_include_pad=False`
        r   r(   )
rI   r1  rp   r  ra  rH  rK  r   r/  rJ  )r  r  stride_hstride_wpad_hpad_wkernel_hkernel_wr?  wstartr@  wendrB  heightrI  r  r  r  s                r[   !compute_pool_size_without_paddingz>avg_pool2d_backward.<locals>.compute_pool_size_without_paddingJ  s   
 <<q	5;;7<<q	5;;7WQZ5WQZ5<<A<<<A<X.6X.6{{GGFH%GGCNN65;;7?
 {{GGFH%GGCNN5%++6>
 VS\\!U[[%ABVS\\!U[[%AB{{4!DE{{4u{{!CDf 5swwtV7LMr]   c                8   | ^ }}}|d   z   }|d   z   }t        j                  t        |d   z
  d   z   d         t        j                        }t        j                  t        |d   z
  d   z   d         t        j                        }t        j                  t        |d         dz   t        j                        }t        j                  t        |d         dz   t        j                        }t        j
                  |t        j                  dt        j                              }t        j
                  |t        j                  dt        j                              }t        j                  |t        j                  t        j                              }t        j                  |t        j                  t        j                              }d }t              D ]+  }	t              D ]  }
t        j                  |t        j                  |	t        j                              }t        j                  |t        j                  |
t        j                              }}nssd   d   z  }n	 ||      }t        j                   g |t        j                  t        j                  |t        j                  |t        j                  dt        j                                    d      t        j                  t        j                  |t        j                  |t        j                  dt        j                                    d            |      }t        j                  t        j                  ||      t        j                  ||            }|;t        j                  ||t        j                  dt        j                               }t        j                  |t        j                  ||      |      } . |J |S )Nr   r(   Fr  r.  )rI   r/  r#   rp   r  rJ  r1  rK  r   r   r  rM  ra  r4  r3  r  rH  )r  rC  r7  r  r  r  r  r  r  r  r  r  r  rM  partr;  rV  r0  r#  r  r  rF  rI  r  r  r  r  r  s                   r[   rs   zavg_pool2d_backward.<locals>.fnf  s2   A
N
N..QQ'&)3VAY?
 ..QQ'&)3VAY?
 x6!9595;;Gx6!9595;;G++gs||Au{{'CD++gs||Au{{'CDE3>>-#MNE3>>,#LM' *	RC]+ )RWWWcll3&DEWWWcll3&DE#/,E&k'N[^;E=b"EE{{#11 #$&s||Au{{7S(T!" !.&+  11 #$&s||Au{{7S(T!" !-&+& ). xxFF2u%FF2u% #"yytS\\#u}}5UVH"yyswwx/FQHS)R*	RV ###r]   rG  )ra   r:   r   r   r  rM  rI  r_   r   r  r   fallback_avg_pool2d_backwardr7   r   rd   )r  r   rI  r  r  rJ  r0  r#  r   _h_out
ceil_mode1_w_out
ceil_mode2r  r   rQ  rs   r  rV  r  r  rF  rU  r  r  r  r  s     ``` ``          @@@@@@@@@r[   avg_pool2d_backwardr^  
  s    #'71'<X>XX<a&k9---a###{q   v;!w<1qzz|&&&

Q%;FJ &eQVWiXFJ))+K!*F
FjFJK&1&:&:&<#Q|AJJL!HKKME {1~)* M  {1~)* M
  -/KR+	
 		
 8? ?B 
		%%'	
B Ir]   c                    dk7  sJ d       ssg dt        | t              sJ t        |t              sJ t              dk(  sJ t              dk(  sJ t              dk(  sJ t        |j                               dv sJ | j	                          |j                         ^ } t        d|      \  }	}
t        d|      \  }}t         d|      \  }}| j                         t              xs
 |
xs |xs || j                         ^ }t        |j                               }|j                         }fdt        d      D        \  z  z  }|d	kD  rt        | ||      S  fd
fd}t        j                  | j                         |||      }|S )Nr   rI  )r   r   r   r   )r   r   r(   r&   c              3  j   K   | ])  t        fd t           dz        D               + yw)c           
   3  t   K   | ]/  }t        |   z  t        d |   z
     z        z
  d       1 ywr  r  )r   r  ri   rI  r  s     r[   r   z0avg_pool3d_backward.<locals>.<genexpr>.<genexpr>  sF      
 VAYQ[^);q	(I!JJAN
r  r&   N)r  r   )r   ri   rI  r  s    @r[   r   z&avg_pool3d_backward.<locals>.<genexpr>  s;      3
 	 	 
;q>A-.
 	
3s   /3}   c           	        d D        \  }}}d D        \  }}}d D        \  }	}
}d t        | ||g|||g|||g      D        \  }}}d t        |||g|	|
|gg|||g      D        \  }}}d |||fD        \  }}}d t        |||gg      D        \  }}}t        j                  t        j                  t        j                  ||      t        j                  ||            t        j                  ||            }|S )Nc              3  d   K   | ](  }t        j                  |t        j                         * y wr   rI   r1  rp   r  )r   r  s     r[   r   zQavg_pool3d_backward.<locals>.compute_pool_size_without_padding.<locals>.<genexpr>  s     'UQ(D'U   .0c              3  d   K   | ](  }t        j                  |t        j                         * y wr   re  r*  s     r[   r   zQavg_pool3d_backward.<locals>.compute_pool_size_without_padding.<locals>.<genexpr>  s     Ms||Au{{;Mrf  c              3  d   K   | ](  }t        j                  |t        j                         * y wr   re  )r   r   s     r[   r   zQavg_pool3d_backward.<locals>.compute_pool_size_without_padding.<locals>.<genexpr>  s$      (
-.CLLEKK((
rf  c              3  x   K   | ]2  \  }}}t        j                  t        j                  ||      |       4 y wr   )rI   ra  rH  )r   rD  r  pads       r[   r   zQavg_pool3d_backward.<locals>.compute_pool_size_without_padding.<locals>.<genexpr>  s3      "
1c GGCGGAqM3'"
s   8:c           
   3     K   | ]i  \  }}}}t        j                  t        j                  ||      t        j                  t        j                  |t        j
                        |             k y wr   )rI   rK  r   r/  rp   r  )r   r  r   r   rj  s        r[   r   zQavg_pool3d_backward.<locals>.compute_pool_size_without_padding.<locals>.<genexpr>  sU      

 #q#s KKq!3773>>#u{{+KS#Q

s   A/A1c              3     K   | ]<  }t        j                  |t        j                  d t        j                               > ywr)  rI   rJ  r1  rp   r  )r   r  s     r[   r   zQavg_pool3d_backward.<locals>.compute_pool_size_without_padding.<locals>.<genexpr>  s2      "
 KKs||Au{{;<"
   AAc              3     K   | ]?  \  }}t        j                  |t        j                  |t        j                               A y wr   rI   rK  r/  rp   r  )r   r  r   s      r[   r   zQavg_pool3d_backward.<locals>.compute_pool_size_without_padding.<locals>.<genexpr>  s6      
S KKS^^C=>
   AA)r   rI   rH  ra  )pdr  r  stride_drM  rN  pad_drO  rP  kernel_drQ  rR  dstartr?  rS  dendr@  rT  rB  depthrU  rI  r  r  r  s                      r[   rV  z>avg_pool3d_backward.<locals>.compute_pool_size_without_padding  sH   'Uf'U$(HMWMue(
2=(
$(H"
 Rx8<ueU>S"


 '*(8X.&u%	'	

dD"
 &&1"

tT 2UFE4JK
dD GGCGGD&)3774+@A3774QWCX
 r]   c                .   | ^ }}}}d t        |||g      D        \  }}}d t        |||g!      D        \  }}}d t        |||g!      D        \  }}	}
d |||fD        \  }}}d t        ||	|
g g      D        \  }}	}
d }t              D ]{  }t              D ]i  }t        "      D ]W  }d t        |||g|||g      D        \  }}}}n ssd   d   z  d	   z  }n
 |||      }t        j                   g |t        j                  t        j
                  |t        j                  |t        j                  dt        j                                    d
      t        j                  t        j
                  |t        j                  |	t        j                  dt        j                                    d
      t        j                  t        j
                  |t        j                  |
t        j                  dt        j                                     d
            |      }t        j                  t        j                  t        j                  ||      t        j                  ||	            t        j                  ||
            }|;t        j                  ||t        j                  dt        j                              }-t        j                  |t        j                  ||      |      }Z l ~ |J |S )Nc              3  ,   K   | ]  \  }}||z     y wr   r   )r   r   rj  s      r[   r   z2avg_pool3d_backward.<locals>.fn.<locals>.<genexpr>  s     Avq#1s7Ar  c              3     K   | ]<  \  }}}t        j                  t        ||z
  |z   |      t        j                         > y wr   rI   r/  r#   rp   r  )r   r   r   r  s       r[   r   z2avg_pool3d_backward.<locals>.fn.<locals>.<genexpr>!  s<      %
1a NN8AEAIq15;;?%
rn  c              3     K   | ]8  \  }}t        j                  t        ||      d z   t        j                         : ywr  r|  )r   r   r  s      r[   r   z2avg_pool3d_backward.<locals>.fn.<locals>.<genexpr>&  s6      
1 NN8Aq>A-u{{;
s   >A c              3     K   | ]<  }t        j                  |t        j                  d t        j                               > ywr)  rm  )r   pstarts     r[   r   z2avg_pool3d_backward.<locals>.fn.<locals>.<genexpr>+  s2      %
 KKQ <=%
rn  c              3     K   | ]?  \  }}t        j                  |t        j                  |t        j                               A y wr   rp  )r   pend
pooled_dims      r[   r   z2avg_pool3d_backward.<locals>.fn.<locals>.<genexpr>/  s6      
 j KKcnnZEF
rq  c              3     K   | ]?  \  }}t        j                  |t        j                  |t        j                               A y wr   )rI   r   r1  rp   r  )r   r  p_s      r[   r   z2avg_pool3d_backward.<locals>.fn.<locals>.<genexpr>;  s6      "&FB R(EF"rq  r   r(   r&   Fr  r.  )r   r   rI   r  rM  rK  ra  r1  rp   r  r4  r3  r  rH  r   )#r  rC  r  r7  r  pdstartr  r  pdendr  r  r  pd_r  r  rr  r  r  rM  rX  r;  rV  r0  d_window_sizer#  r  r  rF  rI  r  pooled_depthr  r  r  r  s#                        r[   rs   zavg_pool3d_backward.<locals>.fn  s   AqAaAY)@A1a%
1ay+v>%
!'

Q1Iv.
ue
%
"GW5%
!'
$'u%m\'R%
ue ' 8	VC]+ 7V / 6VC"*-$gw7#sC+"JBB (3 0*+ +AQ ?+a. P A"b" M;;#!' # 5 5$'KK(*CGGE3<<5;;;W,X%& %1*/!" !$ 5 5$'KK(*CGGE3<<5;;;W,X%& %2*/!"  !$ 5 5$'KK(*CGGE3<<5;;;W,X%& %1*/!"!4 7D< 88E!2CFF2u4EFr5)D  '#&99 $S%--(H$ $'99T3778T3JH#Um6V7V8	Vr ###r]   rG  )ra   r:   r   r   r  rM  rI  r  r_   r   r   fallback_avg_pool3d_backwardr7   r   rd   )!r  r   rI  r  r  rJ  r0  r#  r  _d_outceil_mode_drZ  ceil_mode_hr\  ceil_mode_wr   r  r   rQ  rs   r  rV  r  rx  r  r  rF  rU  r  r  r  r  r  s!     ``` ``             @@@@@@@@@@@@r[   avg_pool3d_backwardr    s    #'71'<X>XX<k9---a###{q   v;!w<1qzz|&&&$%JJL!VUFE&q+vw	FK ';FK 'q+vw	FK ))+Kg,K+KKK4?4H4H4J1Qm\AJJL!HKKME3
 q3/M=-  -/-?KS+	
 		
# #JU U Un 
		%%'	
B Ir]   c                   | j                         }t        |t              r|g}n|st        t	        |            }t	        |      dk(  rt        |      dv s
J d|        g S t        |      }t        t	        |            D ]_  }||   dk  r#||xx   t	        |      rt	        |      ndz  cc<   d||   cxk  rt	        |      k  rFn t	        |      dk(  r	||   dk(  r_J  t	        t        |            t	        |      k(  sJ d       |S )Nr   )r   rp  r7  zinvalid axis: r(   zreduction axis not unique)r   ra   r   r   r   r   r_   r!   )r   rS  r   ri   s       r[   _validate_reduction_axisr  }  s    ::<D$vSY
4yA~T{//H>$1HH/	:D3t9 M7Q;GCIs4y14GDG'c$i'CINtAw!|LLM z$ CI-J/JJ-Kr]   c               x  
 |t        | |      } | j                         t        t           t	        | |            }g }g g }g t        t                    D ]Q  }||v r&j                  |       |j                  |          -j                  |       |j                  |          S 
fd}r0t              }	D ]  }t        j                  j                  |	|<   ! n|}	| j                         
t        | j                         |xs | j                         | j                         ||	|      S )Nc                   t        |      t        	      k(  sJ r+t        |       t        
      k(  sJ D cg c]  }| |   	 } }t        |       t              k(  sJ d gt        |       t        |      z   z  }t        j                  t        |       t        	|            D ]
  \  }}|||<     |      S c c}w r   )r   r   r   r   )r%  reduction_indexri   rl  r  varinner_loaderkeepdimskept_idxreduced_idxr   s         r[   rp  z%_make_reduction_inner.<locals>.loader  s    ?#s;'7777u:T***'/0!U1X0E05zS]***Fc%j3+??@	!% #k?"C
 	!HC !IcN	! I&& 1s   B;)rl   rc  rn  rF  rE  rd  )r   r   r!   r   r  r   r   re   r_   r   r  r  rI  r   rd   r   )r   rS  r  r   r-  
kept_sizesreduced_sizesri   rp  r  r  r  r  r   s     `       @@@@r[   _make_reduction_innerr    s'   Q::<Dc?3At<=DJHMK3t9 '9q!  a)OOAd1g&'' ' : 	&A''++HQK	& ==?L||~'81;;=++-& r]   c                     dd d fd}|S )Nr   c                   t        | |||      }t        j                  d| d|}t        |j                  j                  t              r|j                          |S )NrS  r  r   r-  )r  rb  r   )r  r8   r   ra   rc   r^  )r   rS  r  r   r   r&  r-  r  s         r[   rT  zmake_reduction.<locals>.inner  sb    &"7
 !!XAXQWXKK
 NNr]   r   r   )r  r-  rT  s   `` r[   make_reductionr    s    T   Lr]   c                   |t        | |      } t        | |      }t        | j                         | j	                         f| j                         f| j                         |      S )N)rl   dtypes	inner_fnsr   rS  )r   r  r   rd   r   rI  r   )r   rS  r   s      r[   _make_scan_innerr    sZ    QD!D||~==?$ZZ\ r]   r   c                   |t        | |      } | j                         t        | |      }| j                         }|t        j
                  t        j                  fv rt        | t        j                        } t        | ||      }t        fd|D              }t        j                  || j                         | j                               }t        j                  |t        |j                                     }t        t!        ||      |      S )Nc              3  (   K   | ]	  }|     y wr   r   r   ri   r   s     r[   r   zmean.<locals>.<genexpr>       0a$q'0r   r$  )r   r   r  r   rp   rL  rK  r   sum_rG   r+   r1   rd   r0   r   r_   div)r   rS  keepdimr   output_dtype
sum_resultdenomr   s          @r[   r  r    s    Q::<D#At,D;;=Lu~~66Q$aw'J0400Ee1;;=XEeT**=*=*?%@AEC
E*L99r]   c                2  
 |d}| j                         
t        | |      }t        | |d      }|r|j                          t	        t        | |            }t        |||      }t        
fd|D              }|rt        j                  ||z
  d      }t        j                  || j                         | j                               }t        j                  |t!        |j                                     }t#        ||      }	|s|	fS |r|nt%        ||      }|	|fS )Nr(   T)r  c              3  (   K   | ]	  }|     y wr   r   r  s     r[   r   z var_mean_sum_.<locals>.<genexpr>   r  r   r   r$  )r   r  r  r^  squarera  r  rG   r   r=  r+   r1   r   rd   r0   r   r_   r  r  )r   rS  
correctionr  return_meanx_meandiffsr  r  x_varr   s             @r[   var_mean_sum_r    s    
::<D#At,D!T4(F3q&>"EeT7+J0400E		%*,a0e1;;=XEeT**=*=*?%@AE
E"ExVGFD$9F&=r]   c                    t        | |      }t        | ||d d       }|d   }t        |d         }t        |t        j
                        xr, t        |      t        j                  k  xr t        |      dk7  S )Nr  rE  rd  r(   )	r  r  rG   ra   r   r  r   r)   rm  )r   rS  r  r   rE  reduction_numels         r[   use_two_step_variancer    s|    #At,D"	wd$F HF#F+=$>?O?EMM2 	' 6#E#EE	'&!Q&r]   c                  dt        | ||d d       }|j                  d      }|j                  d       |j                  d       t        j                  j                  d|fd| j                         d|\  }}}	|j                          | j                         | j                         t        | |      }t        fd|D              d	 fd
}
 t        |
      |      }|r|j                          ||fS |fS )Nr(   r  rF  rc  rn  welford_reduce)r  r  r   c              3  (   K   | ]	  }|     y wr   r   r  s     r[   r   z$var_mean_welford_.<locals>.<genexpr>3  s     1q471r   c                    t        | t        j                        rD| j                  s8t	        j
                  t	        j                  | t        j                        |      S t	        j                  | |      S r   )
ra   r   r   	is_numberrI   r   r/  rp   r0  r1  r&  s     r[   get_constant_or_index_exprz5var_mean_welford_.<locals>.get_constant_or_index_expr5  sG    a$Q[[<<q%++ >FF||Au%%r]   c                           }       }t        j                  d      }| t        j                  |||z
        z  S r  )rI   r1  rJ  )rc   cNzeror  r   r  rnumels       r[   r  z#var_mean_welford_.<locals>.scale_fn:  sE    &z59&vu5||Au%ckk$A...r]   r   )r  r[  r+   WelfordReductionr   r   r^  r   r  rG   rU  )r   rS  r  r  r  r   rp  r  m2r   r  r  r   r  r  r   s     `         @@@@r[   var_mean_welford_r    s    
"	wd$F ZZ
#F
JJ{
JJ{%%,, )'kkm 	KD"a JJLKKME::<D#At,D1D11F&
/ #.
"2
&CDy6Mr]   c                   | j                         t              }t        | |d      } t        | ||||      }t	        | ||      rt        di |n
t        di |}t        fd|D              }|s|d   S |S )NFr  )r   rS  r  r  r  )rS  r  c              3  :   K   | ]  }t        |d         yw)Fr  N)r   )r   r   r\  s     r[   r   z#var_mean_helper_.<locals>.<genexpr>X  s     F!8Ayu55Fs   r   r   )r   r   r   r   r  r  r  r   )	r   rS  r  r  r  compute_dtyper   r  r\  s	           @r[   var_mean_helper_r  H  s    I))4MM.A
F !w? 	(( 
 FvFFF'6!93V3r]   )r  r  c               "    t        | |||d      S )NFrS  r  r  r  r  r   rS  r  r  s       r[   var_r  \  s    	W% r]   c               "    t        | |||d      S )NTr  r  r  s       r[   var_meanr  c  s    	W$ r]   c                   |dk  r!t        t        j                  |       | |      S |dk(  rt        j                  d|      S |dk(  r| S t        | |dz  |      }t        j                  ||      }|dz  dk(  rt        j                  ||       }|S )Nr   r(   r&   )pow_recursiverI   rI  r1  rH  )r   r  r   r&  s       r[   r  r  j  s    1uS^^A.E::Av||Au%%Av1a1fe,FWWVV$F	A!|#Mr]   c                .    t        j                  | |      S r   )rI   powr   r  s     r[   
pow_nativer  y  s    771a=r]   )r   c                v    t        t              r#t              k(  rt         t                    S t        t              rdk(  rt	               S t        t              rdk(  rt               S t        d  fD              }t        |      }t        t              xr dcxk  xr dk  nc xs	 |xr dk\  }|rZ j                          fd}t        j                   j                          j                         | j                               S t         t              r: dk(  rt        d      S  d	k(  r$t!        j                               rt#              S |rDt         t              rt%               S t        t              rt'               S t)               S t+               S )
Nr  r(   c              3  r   K   | ]/  }t        |t        j                        s|j                          1 y wr   )ra   r+   r:   r   r   s     r[   r   zpow.<locals>.<genexpr>  s#     N1*Q2MNs   77i    r   c                F    t         |       j                               S r   )r  r   )r  r   r  rp  s    r[   rs   zpow.<locals>.fn  s     a??r]   rG  r&   )ra   r   r   r  sqrtrq  r*  r   rI  r7   r   rd   r   r   r   r  r   exp2fallback_pow_scalarfallback_pow_tensor_scalarfallback_pow_tensor_tensorr  )r   r  r   is_integer_powembed_exponentrs   rp  s   ``    @r[   r  r    sx   !USV1c!f~	Au	!s(Aw	As	QQx NANNE%e,N  3' a"32AF  	@ <<>++-::<	
 	
 !V6Q?"6nQ[[]37Na &q!,,6"-a33-a33ar]   c                   t        | t              r| j                  }n| }t        |t              r|j                  }t        |t        j                        swt        j                  | j                         | j                         |j                         | j                               j                  }t        |t        j                        sJ t        |t        j                        rg|j                         sW|j                         sGt        |j                  t        j                        s#|j                          |j                  |_        | S t        j                  j!                  |||       | S )NrG  unsafe_alias)ra   r:   rc   r+   r  r7   r   rd   r   rI  r   is_input_bufferis_module_buffer	NopKernelr^  r  realize_into)changedr  r  changed_datas       r[   r  r    s   '9%||#y!hhc2==)%%'##%__&##%	

 $ 	 #r}}---,.$$&((*l''6 	HH!!..\ /  Nr]   c                .    t        | t        | |            S r   )r  r  )r   r$  s     r[   r  r    s    Q	!Z011r]   c                    | |u r| S t        || j                               }t        || j                               }t	        || j                               }t        | |      S r   r  rd   r   r   r  r   r  )r  r  r  s      r[   r  r    sR    
cz

C)
*C
3
(C
clln
%CS#r]   c                .    t        j                  | |      S r   )rI   floordivr  s     r[   r  r        <<1r]   c                .    t        j                  | |      S r   )rI   r9  r  s     r[   r9  r9    r  r]   c                >   t        |       xr t        |      }t        |       xr t        |      }|dk(  r,|rJ d       |rt        | |      S t        t	        | |            S |dk(  r,|rJ d       |rt        | |      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  r9  r  )r   r  rounding_modeboth_integerboth_booleans        r[   div_moder    s    "1%</!*<L"1%</!*<L X!XX!-x1~C5Q3CCX!XX!-x1~C5Q3CCq!9r]   c                    t        |       xr t        |      }|rt        | |      S t        t        j                  j
                        } t        |      | |      S r   )r   logical_andr5   r  rH  r  rU  )r   r  	both_boolrs   s       r[   rH  rH    sN    "9q'9I1a  **+!~b!!Q''r]   c                f   t        | t        j                        rt        | j                        S t        | t        j
                        rt        | j                               S t        | t        j                        r| S t        | t        j                        syt        j                  j                  j                  | j                               }t        j                  |      5  t!        j"                  t        j$                  dd      5   | j&                  | j)                          }ddd       ddd       t        t        j                  j*                  j,                        sJ t        |j.                  t        j                        r|j.                  S y# 1 sw Y   rxY w# 1 sw Y   vxY w)z:Try convert an arbitrary IR node into an ir.Constant valueNallow_indexingT)ra   r+   
MutableBoxget_constant_valuerc   r  r  r   Loopsrp   	_inductorops_handlerExtractConstantsHandlerrd   rJ   set_ops_handlerr   objectr;  rF  inner_fn_argsvirtualizedOpsValuer   )r   r  rg   s      r[   r  r    s/   
 !R]]#!!&&))!R[[!!!--/22!R[[! a"oo))AA!,,.QG	'"-R&&(8$?- ajj!//+,	- - c5??66??@@@#))R[[)yy- - - -s$   &&F'F*F'F$	 F''F0c                2   t        d | |fD              }|rt        | |      S t        |      x}T|j                  dk(  r*t	        j
                  t        d      |j                        }nd|j                  z  }t        | |      S d } t        |      | |      S )Nc              3  L   K   | ]  }t        |      xs t        |        y wr   )r   r   r   s     r[   r   zdiv_prim.<locals>.<genexpr>0  s"     O1oa(>OA,>>Os   "$r   infrf  c                 &    t        j                  |  S r   )rI   r  r  s    r[   rs   zdiv_prim.<locals>.fn=  s    {{D!!r]   )	r  r9  r  r   mathcopysignr   rH  rU  )r   r  is_integralr:  rI  rs   s         r[   div_primr  .  s    OAOOK1~%a((5==AuU|W]]CJw}},J1j!!" >"a##r]   c                Z    t        | |ft        j                        \  } }t        | |      S r  )r/  r   INT_TO_FLOATr  r  s     r[   r  r  C  s0     	
A$C$P$PDAq Aq>r]   c                h    t        |       xs t        |       }|rd }nd } t        |      | |      S )Nc                .    t        j                  | |      S r   )rI   modr  s     r[   rs   zfmod.<locals>.fnU  s    771a= r]   c                .    t        j                  | |      S r   )rI   fmodr  s     r[   rs   zfmod.<locals>.fnZ  s    88Aq>!r]   )r   r   rU  )r   r  r  rs   s       r[   r  r  O  s9    !!$:(:K	!
	" >"a##r]   c                   t        | j                               st        | j                               r|t        j                  }t        d|      } || |||      S )Nr  rp  r   r   r   r   rp   r0  r  r   rS  r  r   rs   s        r[   r  r  `  sK     	'+;AKKM+J
-	U	;Baxu--r]   c                   t        | j                               st        | j                               r|t        j                  }t        | j                               dk(  r(|dv sJ |xs | j                         }t        | |d      S d }t        | ||      }t        j                  j                  d	i |d|i\  }|t        | ||      S |S )
Nr   r   r7  Tr  c                @    | \  }|\  }t        j                  ||      fS r   )rI   r   a_tupleb_tupler   r  s       r[   
combine_fnzcumsum.<locals>.combine_fn~  #    1r]   rS  r   r#  r   r   r   )r   r   r   rp   r0  r   r   r   r  r+   Scanr   fallback_cumsumr   rS  r   r#  r   r&  s         r[   cumsumr*  r  s     	'+;AKKM+J
-
1::<Aw&5t,, 
 ad%8F??J?IV~qd%88Mr]   c                   t        | j                               st        | j                               r|t        j                  }t        | j                               dk(  r(|dv sJ |xs | j                         }t        | |d      S d }t        | ||      }t        j                  j                  d	i |d|i\  }|t        | ||      S |S )
Nr   r  Tr  c                @    | \  }|\  }t        j                  ||      fS r   )rI   rH  r   s       r[   r#  zcumprod.<locals>.combine_fn  r$  r]   r%  r#  r&  r   )r   r   r   rp   r0  r   r   r   r  r+   r'  r   fallback_cumprodr)  s         r[   cumprodr.    s     	'+;AKKM+J
-
1::<Aw&5t,, 
 ad%8F??J?IV~t599Mr]   c                
   d }| j                         }t        | j                               dk(  r|dv sJ t        |       S t	        | ||      }t        j                  j                  di |d|i\  }|t        | |      S |S )Nc           	     *   | \  }|\  }t        j                  ||      }t        j                  ||      }||k7  t        j                  |       z  }t        j                  |t        j
                  t        j                  ||z
              |z   |      fS r   )rI   rK  rJ  r  r  log1pexp)r!  r"  r   r  min_vmax_vr;  s          r[   log_add_exp_helperz(logcumsumexp.<locals>.log_add_exp_helper  s{    Aq!Aq!CIIe$4#45		$		#''%%-*@ AE I1MOOr]   r   r  r%  r#  r?  r   )	r   r   r   rq  r  r+   r'  r   fallback_logcumsumexp)r   r   r5  r   r   r&  s         r[   logcumsumexpr7    s    P KKME
1::<Ag~~Qxac7FGG4FGIV~$QC00Mr]   c                   t        | j                               dk(  r,dv sJ t        |       t        | t        j
                        fS | j                         }t        j                  d|d      }t        | |      }|t        j
                  f|d<   | j                         fd	f|d
<   t        j                  j                  di |d|i\  }}|t        |       S ||fS )Nr   r  r   re  Fr   arg_break_ties_leftr%  r  c                R    t        j                  |    t        j                        S r   rI   r/  rp   r0  r  rS  s    r[   r-  zcummax.<locals>.<lambda>      CNN3t9ekk: r]   r  r#  r?  r   )r   r   rq  r  rp   r0  r   r+   get_reduction_combine_fnr  rI  r'  r   fallback_cummaxr   rS  r   r#  r   r   r  s    `     r[   cummaxrB        
1::<AwQxAU[[999KKME,,5J ad%8Fu{{+F8	:F; ggnnEvE*EOFG~qd++7?r]   c                   t        | j                               dk(  r,dv sJ t        |       t        | t        j
                        fS | j                         }t        j                  d|d      }t        | |      }|t        j
                  f|d<   | j                         fd	f|d
<   t        j                  j                  di |d|i\  }}|t        |       S ||fS )Nr   r  r   argminFr9  r%  r  c                R    t        j                  |    t        j                        S r   r<  r=  s    r[   r-  zcummin.<locals>.<lambda>  r>  r]   r  r#  r?  r   )r   r   rq  r  rp   r0  r   r+   r?  r  rI  r'  r   fallback_cumminrA  s    `     r[   cumminrH    rC  r]   c                   t        | j                               st        | j                               r|t        j                  }t        d|      } || |||      S )Nr  rp  r   r  r  s        r[   r  r    sK     	'+;AKKM+J
-	e	<Baxu--r]   c                ^    t        | t        j                        }  t        d      | ||      S )Nr  rS  r  )r   rp   r   r  r   r   r  s      r[   
reduce_anyrM    s(    EJJA >% w??r]   c                Z    |t        | ||      t        | ||      fS t        | d |      S NrK  )reduce_amaxreduce_argmaxrL  s      r[   
reduce_maxrR    :    
g6!#8
 	

 qtg66r]   c                Z    |t        | ||      t        | ||      fS t        | d |      S rO  )reduce_aminreduce_argminrL  s      r[   
reduce_minrW    rS  r]   xor_sumr  r  re  rp  rE  
logical_or)rQ  rD  stabler   
descendingc          	        |d}| j                         }| j                         }t        t        |      |      }t        |      dk(  r't	        |       t        d|t        j                  |      fS t        |      r||   nd}t        j                  j                  j                  |t        j                  t        j                        j                        st        | |||      S t!        |ddt        j                  |d      }dgt        |      z  }t        |      r|||<   t#        ||      }t%        ||      }t&        j(                  j+                  || j,                  |j,                  f| j/                         |j/                         f||||      \  }	}|	t        | |||      S |J |	t1        |t        j                        fS )NFr   r(   rZ  )r  r  r   rl   r  )rl   r  r  r   rS  r[  r\  )r   rd   r   r   rq  r%  rp   r0  rJ   rS   r  statically_known_ltr  int16r  sort_fallbackr  r  r  r+   Sortr   r   rI  r   )
r   r[  r   r\  r  rl   r  r  
view_shaper   s
             r[   sort_stablerc    s   ~JJLE\\^F
3u:s
+C
5zQQxq&%++u=== ZuSzQH77//%++ekk:R:V:VWQv3:NNVSXG s5z!J
5z"
37J'GWe$Gggnn'==?G$7$7$9: % OFG ~Qv3:NN8GU[[111r]   c                     t        | d||      S )NFrZ  )rc  )r   r   r\  s      r[   sortre  F  s    qCJGGr]   c                <    t        | |t        j                  |      S )Nr   r   rS  )r  r   r  )rV   r   rS  s      r[   register_pointwise_numericrh  K  s!    
;HH'	 r]   c                b    t        | j                         t        | t        j                        S r  )rF   r  r  r   r  r  s    r[    register_pointwise_numeric_ldf64rj  T  s'    '4
;HH r]   r  logical_not)rD  )r   r   r-  identity)r\  pointwise_overrides_datac              #  F  K   t         |   t        | j                  d       }|y fd}t        |t        j
                  j                        r9|j                         D ]%  }t        ||      }|j                   ||      f ' y |j                   ||      f y w)Nc                4    j                   t        |       S y r   )tritonr  )rV   rc   s    r[   make_triton_fallbackz6_get_pointwise_overrides.<locals>.make_triton_fallback  s    ;;#B'' r]   )	rm  r   r   ra   rp   rq   r   r   r   )nsr   rV   rq  olnamer+  rc   s         @r[   _get_pointwise_overridesrt    s     #D)D	TYY	%B	z( "ejj112lln 	IFV$Bd..0DR0HHH	I $**,@,DDDs   BB!rg  c                d    | t         |<   t        j                  |        fd}t        | |       y )Nc                      | i |}g }t        | d   |      D ]"  \  }}|j                  t        ||d             $ |S )Nr   Tr  )r   re   r  )rj   r   resultsmut_resultsr   r&  outplace_ops         r[   rs   z$register_foreach_inplace.<locals>.fn  sV    t.v.tAw0 	JKCyf4HI	J r]   )rP   rZ  r   r   )aten_opoutplace_aten_opry  rs   s     ` r[   register_foreach_inplacer|  	  s.    07,-G$ w+r]   c                2    t        | d       fd       }|S )Nrs  c                 l     | i |}t        || d   j                               }t        | d   |      S r  )r   r   r  )rj   r   r&  ry  s      r[   rs   zregister_inplace.<locals>.fn-  s<    d-f-&$q'"3"3"56a&))r]   )r
  )rz  ry  rs   s    ` r[   register_inplacer  ,  s#    wD9* :*
 Ir]   c                     y r   r   r  s      r[   sym_constrain_ranger  V      r]   c                    t         j                  j                  j                  d   }t	        |t
        j                        sJ |j                  j                  S r  	rJ   rS   rT   rM  ra   rp   r  rY   r  r   r   r  s      r[   sym_sizer  [  s@    
''


#
#E
*C c5<<(((88==r]   c                    t         j                  j                  j                  d   }t	        |t
        j                        sJ |j                  j                  S r  r  r  s      r[   
sym_strider  l  s>    
''


#
#E
*Cc5<<(((88==r]   c                "    | j                         S r   )rP  )r   s    r[   	sym_numelr  t  s    ;;=r]   c                &    t        j                  |  S r   )r   Addr  s    r[   sym_sumr  }  s    99dr]   c                    t        d      )NzHelpful for debuggingr   )r  rj   r   s      r[   foobarr    s    
5
66r]   c                8    | j                          t        |       S r   )r^  rq  r   s    r[   _realizer    s    IIK8Or]   c                R    | j                          t        j                  | |       | S r   )r^  r+   ResizeStorageBytes)variabler  s     r[   resize_storage_bytes_r    s#    (H-Or]   c                    | j                          |j                          t        j                  t        j                  | |            S r   )r^  r:   r   r+   SetSourceTensorKernel)r  source_tensors     r[   set__source_tensorr    s5    LLNB44T=IJJr]   r  c                    | |u r| S t        || j                               }t        || j                               }t	        || j                               }t        | |      S r   r  )r  r  s     r[   
fsdp_copy_r    sR    #:JS^^-.sCMMO,S#,,.)c""r]   c                 	
 t        | t              sJ t        |t        t        f      sJ |t        j
                  }|t        j                  k(  rt        d|       |t        j                  k(  rt        |      dk(  sJ |t        j                  k(  rt        |      dk(  sJ | j                         
| j                         }| j                         }t        | j                  t        j                         r| j                  j#                         | _        t	        j$                         rit        j&                  j(                  j*                  rEt-        |      rt/        d      n0t1        |      r t	        j2                  |      j4                  ndndt6        j8                  j:                  j=                  
d      rt?        |||      S tA        | 
gd	g      }|jC                         	t        jD                  jG                  ||      }t        jH                  ||||      jK                         	
fd
}tM        jN                  |||t        |            }|S )Nzunsupported memory format: r   r   nanTr.  r   r  r(   c                    |       t        j                  t        j                        }t        j                  t        j                        }t        j                  ||      }t        j
                  |fd      S )Nc                       g      S r   r   )
flat_indexflat_loaders   r[   r-  z*resize.<locals>.inner_fn.<locals>.<lambda>  s    ZL(A r]   )rI   r/  rp   r0  r3  r5  )	r  flat_index_exprlimitr;  r  r  	old_numelout_indexeruninitalized_vals	       @r[   rF  zresize.<locals>.inner_fn  sZ     %
..U[[Ay%++6vvou-zz$ ACSTTr]   rG  )(ra   r:   r_   r   rp   contiguous_formatpreserve_formatr)  channels_lastr   channels_last_3drP  r   r+  rc   r+   r  r  r  utilsdeterministicfill_uninitialized_memoryr   r   r   r  r  rJ   rS   r  r  rJ  r"  rI  r;   stride_ordered_for_memory_formatr  r=  r7   r   )r   r   r  r   rl   x_flat
out_striderF  rg   r  r  r  r  s            @@@@r[   resizer    s   a###dT5M***//---8HII+++4yA~~...4yA~~IKKME""$F!&&"++&##% 	224KK%%??% $U|e$${{5155# ww//	1=D*%GG		
 	
F $$&K""CCD-XJ..jANNPKU 

UXd4jC Jr]   )auto_functionalizedc                    ddl m} |j                  |      }t        j                  | ||i ||       |j                         D ci c]  \  }}t        |t              s|| c}}S c c}}w )Nr   )kernel_side_table)
kernel_idxgridtma_descriptor_metadatakernel_args)*torch._higher_order_ops.triton_kernel_wrapr  get_constant_argsr+   UserDefinedTritonKernelr   ra   r:   )	r  constant_args_idxr  r  r   r  constant_argsr  r  s	            r[   triton_kernel_wrap_r    sj     M%778IJM 7/v//	 &,\\^Rcz#y7QCHRRRs   A*!A*c                ^   t        d | g|D              rTd}t        j                  j                  j                  j                  dd       x}r| d| }|t        j                  _        t        j                  j                  | |||      }t        t        t        j                  |            S )Nc              3  V   K   | ]!  }t        |t              xr t        |       # y wr   r5  r   s     r[   r   zcond.<locals>.<genexpr>  s#     
Ma:a 1Yq\1
Mr6  z"control flow operator: torch.cond.stack_trace Found from : 
 )r  rJ   rS   rT   rM  rN  disable_cudagraphs_reasonr+   Conditionalr   r_   mapr:   )predtrue_fnfalse_fnoperandsr   r  r&  s          r[   r   r     s    

MD;L8;L
MM2''..3377tLL;LE*;-8C,/)^^""4(HEFI$$f-..r]   c                J   t        d ||z   D              rTd}t        j                  j                  j                  j                  dd       x}r| d| }|t        j                  _        dd}t        j                  j                  | |||      }t        t        ||            S )Nc              3  V   K   | ]!  }t        |t              xr t        |       # y wr   r5  r   s     r[   r   zwhile_loop.<locals>.<genexpr>  s+       	1f.)A,.r6  z(control flow operator: torch.while_loop.r  r  c                    t        | t              r| S t        | t        j                        rt        |       S t        | t        j                        rt        j
                  |       S t        dt        |              )NzNYI unsupported output type: )ra   r:   r+   r  MultiOutputr   r)  rO  )rg   s    r[   _map_outputzwhile_loop.<locals>._map_output  s_    c9%JR]]+S>!R^^,##C((!>tCykJKKr]   )rg   r   )r  rJ   rS   rT   rM  rN  r  r+   	WhileLoopr   r_   r  )cond_fnbody_fncarried_inputsadditional_inputsr   r  r  r&  s           r[   
while_loopr    s    
 "33  9''..3377tLL;LE*;-8C,/)L \\  '>CTUFK())r]   c                    t        j                  j                  | g| }t        t	        t
        j                  |            S r   )r+   InvokeSubgraphr   r_   r  r:   )subgraph_fn
identifierr  r&  s       r[   invoke_subgraphr  )  s5    %%k=H=FI$$f-..r]   )schemec                  d }t         j                  j                  j                  j	                  dd       }|J t        | j                  j                  j                        D ]  \  }}|j                  dk(  r!||   t         j                  j                  |<   7|j                  dk(  rt         j                  j                  |      \  }}t        j                  ||j                               D ]  }	|	j                          |j                  r7t         j                  j                   j#                  |	j%                                t         j                  j&                  j#                  |	j%                                 t(        j*                  j,                  j/                  t         j                  |||      }Xt         j                  j1                  |      t         j                  j                  |<    |S )Nquant_optionsr  r  )rJ   rS   rT   rM  rN  r`   ry  nodesrV   envfetch_args_kwargs_from_envr   r   r   r^  codegen_low_precisionlow_precision_codegen_opsr   r_  invoke_quant_opsrp   r
  Interpreterr  run_node)
r  r  r  r  r  ri   rY   rj   r   r   s
             r[   invoke_quant_tracerr  /  sl   FGG((--11/4HM$$$[55;;AAB 7477m# (AGGKKWW 77==dCLD&__T6==?; E		 66GG5599!:N:N:PQ((,,Q-A-A-CDE XX))00$fMF ! 0 0 6AGGKK%7( Mr]   c                  
 ddl m}m} t        |      dkD  rt	        d      t        j                  ||      D cg c](  } ||j                         |j                               * }} || |      

fd}t        |d   dd       }t        d |D              |d	<   t        d
 |D              |d<   t        j                  j                  d|dd|}	|	d   t	        d      |	S c c}w )Nr(   )InputDescriptorlower_pointwise_subgraphr   zSUnable to generate code for associative_scan op, because there are lifted argumentsr  c                d     g t        j                  |       t        j                  |       S r   )r  r  )lhsrhslowered_combine_fns     r[   wrapped_combine_fnz,associative_scan.<locals>.wrapped_combine_fn]  s6    ! 
$
$
 	
r]   r%  c              3  <   K   | ]  }|j                           y wr   )r   r   s     r[   r   z#associative_scan.<locals>.<genexpr>d  s     7qQ[[]7   r  c              3  <   K   | ]  }|j                           y wr   r  r   s     r[   r   z#associative_scan.<locals>.<genexpr>e  s     <A<r  r  F)r#  can_fallback_to_atenz/Unable to generate code for associative_scan opr   )rx  r  r  r   r)  r   r   r   rd   r  r   r+   r'  r   )r#  xsr  r  r  r   subgraph_inputsr  r   r&  r  s             @r[   associative_scanr  L  s     M
!a
 	
 R( 	akkmALLNCO  2*oN
 be!48F7B77F8<<<F;WW^^ %" F
 ayLMMM-s   -C'c                     y r   r   )tokenss    r[   _sink_tokensr  p  r  r]   c                N   t        j                  j                  |g|i |}ddlm}  ||||      }|J t
        j                  j                  |   }||fS t        j                  t         j                  t        j                  |      }t        |t              s||fS |g|S )Nr   )get_effect_key)r+   EffectfulKernelr   torch._higher_order_ops.effectsr  rJ   rS   effectful_opsr  r  r  r:   ra   r   )tokenrV   rj   r   r&  r  effect_typeeffectful_kernels           r[   with_effectsr   u  s    &&r;D;F;F> T62K"""ww,,[9~ ""!!"..)2B2BFKF fe$ &)) *6**r]   )register_comm_loweringsc                x   t        | |ddd      }|d   }t        j                  j                  j	                  t        |            }t        j                  j                  di |d|d\  }}|dk(  rZt        j                  j                  j                  |      t        j                  k\  r t        j                  d| d|d	|\  }}||fS t        j                  t!        j"                  d
             t%        | |d      }	t'        t(        j*                     t-        | |	            }
t/        |
|d      }|	|fS )zn
    Lowering inductor_prims.prepare_softmax_online to compute max/sum in one pass if no split is needed.
    TNr  rd  online_softmax_reduce)r  r  r(   r&   )rb  
num_outputreduction_hintz
            Online softmax is disabled on the fly since Inductor decides to
            split the reduction. Cut an issue to PyTorch if this is an
            important use case and you want to speed it up with online
            softmax.
            )r  r   )r  rJ   rS   r  simplifyrG   r+   r8   
num_splitsr  r)   rm  r4   r   r  r  textwrapdedentrP  rN   r  r2  ra  r  )r   r   r   rd  r  hint	num_split
max_tensor
sum_tensorr  r2  xsums               r[   prepare_softmax_onliner    s4   
 #	d$dF 01WW&&}5E'FGFll-- 
.OD) 	QGG&&v.&2T2TT!7!>!> "
Qt"
?E"

J :%% 	OO		
 1cD1!#a,/Ct,Tzr]   )r  )quantized_lowerings)mkldnn_lowerings)jagged_loweringsc              #  X  K   t        | t        j                  j                        sJ d       t        j                  |       }	  t        |       t        |              d |r
|t        | <   yt        j                  |        y# |r
|t        | <   w t        j                  |        w xY w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)	ra   rp   rq   rr   rN   rN  r
  r  r[  )rV   old_handlers     r[   force_fallbackr    s      b%**//0 50 --#K".r23'IbMMM" 'IbMMM"s   AB*B ""B*#B''B*)rf   z%Iterable[Union[tuple[Any, Any], Any]])rs   zCallable[..., Any]r  zOptional[Callable[..., Any]])r   r   )r   r   )rj   z	list[Any]r   zdict[str, Any]r   r   r   )Optional[ELEMENTWISE_TYPE_PROMOTION_KIND]r   r   r  z tuple[list[Any], dict[str, Any]])r   r  )r   r  r  z.Callable[[Callable[_P, _T]], Callable[_P, _T]])NN)NNNFN)F)r   r:   r   torch.dtype)r   r:   rl   torch.devicer   )r   r   l            r(   Trp  )rc  r:   rW  r:   rY  r:   rS  r   rV  r   rU  r   r   r  r  r:   )rc  r:   rW  r:   rY  r:   rS  r   rV  r   rU  r   r   r  r\  Optional[torch.dtype]r  r:   )rc  r:   rM  r   rN  r   rV  r   rU  r   r   r  r  r:   )rc  r:   rM  r   rN  r   rV  r   rU  r   r   r  r\  r  r  r:   )rc  r:   rM  r:   rN  r:   rV  r   rU  r   r   r  r  r:   )rc  r:   rM  r:   rN  r:   rV  r   rU  r   r   r  r\  r  r  r:   )r   r   r(   )r  r   r  r   r  r   r  )T)rm   ztorch.Tensor)rY   ztorch.fx.Node)NTF)rl   r  )r   	list[int]r>  r:   rw  r\  r  r   )
r}  r   r|  r   r   r  r>  r:   r  r   )r  r:   r  z.tuple[str, sympy.Expr, sympy.Expr, sympy.Expr])r  r:   r  ztuple[str, sympy.Expr])r  r:   r  r:   r  r   r  r   r  Optional[str]r  Optional[TensorBox]r  r:   )rc  r:   r  r:   r  r   r  r   )r   r   r%  r   )r   NNr(   )NNN)r7  FF)r   r   )r  r  r   r   r  r  r  r   )r   r   r  r  )r   r   r  r   )r&   F)r  ztuple[Optional[float], ...]r  r   r  r   )rW  Optional[float])r  r  r  r  )r	  r  r  r  r  r  )r   r:   r  zSequence[int]r$  r   r  r  )ri   
sympy.Exprr}  zUnion[sympy.Expr, int])ri   r  r|  r  )ri   r  r|  r  r}  r  )Nrf  N)
ri  r:   rI  "Sequence[Union[int, torch.SymInt]]rv  r  ru  zxCallable[[Sequence[Union[int, torch.SymInt]], Sequence[Union[int, torch.SymInt]]], torch._inductor.virtualized.OpsValue]r  r:   )Nr   r(   F)r.  )NNNN)r   r   FTN)r  rK   r   )r   r  r  zOptional[ir.Constant])r7  F)rV   ztorch._ops.OpOverloadPacket)r  ir.Subgraphr  r\  )r  r   )r#  r   r  ztuple[torch.Tensor]r  (  
__future__r   
contextlibr@  r   r   loggingr  r  r  r  r  collectionsr   collections.abcr   r   typingr   r   r	   r
   r   r   r   typing_extensionsr   unittest.mockr   r   rp   $torch.ao.quantization.fx._decomposedtorch.fxtorch.utils._pytreer  _pytreer  torch._dynamo.utilsr   (torch._higher_order_ops.associative_scanr   r  r   torch._prims_commonr   r   r   r   r   r   r   r   r   r   r   torch.fx.experimental.sym_noder   r   r  r    torch.utils._ordered_setr!   torch.utils._sympy.functionsr"   r#   r$   r%   _dynamo.utilsr'    r)   r*   r+   r,   decompositionr-   r.   r/   r0   r1   r2   r3   r4   r5   r6   r7   r8   r9   r:   r;   r<   r=   r>   r?   r@   rA   rB   rC   rD   rE   rF   rG   rH   r	  rI   rJ   r  rK   rL   rM   FALLBACK_ALLOW_LIST	getLoggerr  r&  rN   __annotations__rO   rq   rr   r   r  tr_c10dr  r   _higher_order_opsr  rX   rZ  rP   quantized_decomposedr\   rn   rt   r   r   r   r   r"  r'  r  r^  bmmconvolutionconvolution_backwardr  r  r  r  r  r  _int_mmr}  r|  r_  r  r0  rL  rH  r  	complex32	complex64r   rK  r   r   r   r   r   r   r   r   r   r  r)  r
  r  r/  rU  rk  r   r  r  r  r  r   r  r  
device_putr  r  r  r  r  r   aliasdetachdetach_liftview_ofr  r   r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  _unsafe_viewreshaper
  slicer  r$  r?  quantize_per_channelr[  dequantize_per_channelrc  quantize_per_tensorrh  dequantize_per_tensorrk  r/  ru  rx  r  r  r  r  r  r  r  r  r  r  r  r  r  r  cacher  r  r  r  r,  r1  rngprimsrA  rC  rH  	bernoullirD  rL  rO  	lru_cacherS  rV  r4  r\  rY  rZ  ra  r`  r_  randintforce_stride_orderrh  r>  rj  rr  rm  lookup_seedrs  randomrx  r~  r  r  r  rI  r  	NO_OPMATHr  r  r{   r  r  ry   r}   r  _adaptive_avg_pool3dadaptive_max_pool3d*_scaled_dot_product_attention_math_for_mpsuniformexponential_pdist_forwardsoft_margin_loss_backward_fused_rms_normxpuis_availableembedding_dense_backward_cdist_forward_cdist_backward
_trilinearsegment_reduce_segment_reduce_backwardhistc	histogrambin_ct_histogramdd_bin_edges_histogramdd_from_bin_ctsaddbmm_addmm_activation_grouped_mm
_cudnn_rnn_cudnn_rnn_backward_embedding_bag_embedding_bag_forward_only_embedding_bag_backward*_embedding_bag_per_sample_weights_backward_fused_moving_avg_obs_fq_helper*_fused_moving_avg_obs_fq_helper_functional max_pool3d_with_indices_backward_adaptive_avg_pool2d_backward_adaptive_avg_pool3d_backwardadaptive_max_pool2d_backwardadaptive_max_pool3d_backwardfractional_max_pool2d_backwardfractional_max_pool3d_backwardreplication_pad1d_backwardreplication_pad2d_backwardupsample_linear1d_backwardupsample_bicubic2d_backwardupsample_trilinear3d_backwardgrid_sampler_2d_backward_pdist_backwardre  r[  kthvaluetopkrw  median	nanmedianr  resize_
resize_as__linalg_detlinalg_householder_productlinalg_inv_exlinalg_ldl_factor_exlinalg_ldl_solve	linalg_lulinalg_lu_factor_exlinalg_lu_solvelinalg_matrix_exp	linalg_qr_linalg_slogdet_linalg_solve_exlinalg_solve_triangular_linalg_svd	lu_unpackormqr_linalg_check_errorslinalg_pinvatol_rtol_tensor_linalg_eightriangular_solvelinalg_cholesky_excholesky_inversecholesky_solvegeqrf_fft_r2cnonzerogcd_thnn_fused_lstm_cell_prims	rng_primsrun_and_save_rng_staterun_with_rng_stategraphsafe_run_with_rng_statemasked_scattermasked_scatter_backwardr  angle_efficientzerotensor(_sparse_coo_tensor_with_dims_and_tensors	to_sparse
_to_sparser   r+  r  r  #_scaled_dot_product_flash_attention,_scaled_dot_product_flash_attention_backward#_scaled_dot_product_cudnn_attention,_scaled_dot_product_cudnn_attention_backward+_scaled_dot_product_flash_attention_for_cpu4_scaled_dot_product_flash_attention_for_cpu_backward0_scaled_dot_product_fused_attention_overrideable9_scaled_dot_product_fused_attention_overrideable_backward_flash_attention_forward_flash_attention_backward_efficient_attention_forward_efficient_attention_backwardindex_reducerr  rq  r  r  r  r  r  r  scalar_tensorr	  
LongTensorr  r  r  r  r%  r  r)  r  r(  r  r  r  
zeros_liker:  r>  r1  rD  rH  rJ  rR  r[  rg  ry  r|  r{  r%  r  r  r  r  r  r  r  r  r  fallback__unsafe_masked_indexr  ,fallback__unsafe_masked_index_put_accumulater  r  r  r  r  r  r  r  r  r  r  r  r
  r  rG  r  r&  r  r-  r.  r;  r@  rM  rR  rX  rj  rn  ry  r|  r~  r  r  r  r  r  r  r  r  r  r  r  r  r  r+  rC  r3  rD  r.  rY  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  Tensor_Tensorr  Scalarr  Tensor_Scalarr  r  r  r  r  r9  r  r  rH  r  r  true_divider  r  r  r  r*  r(  r.  r-  r7  r6  rB  r@  rH  rG  r  r  rM  r  rR  r  rW  rX  r  rP  r  rU  re  rQ  rE  rV  r   r`  rc  rh  rj  rsqrtr2  r  expm1relur  r  r  ra  cossinabsbitwise_andbitwise_left_shiftbitwise_not
bitwise_orbitwise_right_shiftbitwise_xorlgammaerfspecial_erfr1  tantanhr  rk  rY  logical_xorrJ  rK  	clamp_min	clamp_maxnegrI  	remaindersignsignbit	_neg_viewler3  r2  r  r  necoshsinhacosacoshasinasinhatan2atanatanhr  erfcerfinvhypotlog10log2	nextaftercodegen.commonr\  rm  rt  r   rV   r   rS  _foreach_addListforeach_add_listforeach_add_scalar_foreach_mulforeach_mul_listforeach_mul_scalar_foreach_sub_foreach_neg_foreach_abs_foreach_powScalarAndTensor_foreach_divforeach_div_listforeach_div_scalar_foreach_sqrt_foreach_rsqrt_foreach_maximum_foreach_minimum_foreach_clamp_min_foreach_clamp_max_foreach_reciprocal_foreach_sign_foreach_copyr|  _foreach_add__foreach_mul__foreach_div_r  add_bitwise_and_bitwise_left_shift_bitwise_not_bitwise_or_bitwise_right_shift_bitwise_xor_mul_div_Tensor_modelogical_and_logical_not_logical_or_logical_xor_sub_relu_sigmoid___and__
__lshift____or__
__rshift____xor____iand____ilshift____ior____irshift____ixor__r  r  r   r  r  r   methodfuncr  r  _inductor_testr^  r  r  r  set_source_Tensorr  fsdpr  r  *torch._higher_order_ops.auto_functionalizer  r  higher_orderr   r  r  invoke_quantr  r  r  r   comm_loweringr  r  r  r  register_quantized_opsregister_woq_mm_opsr  register_onednn_fusion_opsr  register_jagged_opscontextmanagerr  r   r]   r[   <module>r;	     s6   "        	   # . O O O '    +  $ $ ( H U    M G / U U , 8 8 =          * T]t_ !   g!FH	C H     .Juzz,,-/	yy~~
))

		9
5::#8#89; /j../
))*
 8j!6!679 NP K Pyy55 ,	BF

3   !!$$$$--&&, {{zz{{{{{{}}}}}}

."# E
EE E C	E
  E &EP24 C	4r  	(// 4,#40j  $Sl7tE 5**77TR) S)X 5--4H) I) @E 5( 499??=& >& ;@e K 5##>F ?F 
7?? $*Z>    4::DI J0 4))UPTU  V F DJJT\\499emmTU V 4&doo&s+ 4<<T:B ;B2 4$$$?" @" DMM?# $ 4::C C 4::C C 499! ! 4::! ! 4::%%&% '% 4::! ! 4;;D9> :>4 5))tD
 E
 4>>t<# =# 4;;1  1h 4$$$?499$74<<T:1 ; 8 @1 4<<T:> ;> 4::48V 9V 4??=J >J$ 4##> ? 4''TB C
BJ '<<RVW/// / 	/
 / / / / X/d //T (,/// / 	/
 / / / %/ //d ,,44$!!! ! 	!
 ! ! !!H ..66D (,!!! ! 	!
 ! ! %! !!H ,,33*** * 	*
 * * **Z ..554 (,,,, , 	,
 , , %, ,,^ 488y: y:x 4==d;3E <3El 4%%4@6 A6 4((dC D 4;;D96 :6
 4::48 98 4((dC  D  4;;D9 : 4;;D9D :D8 4>>t< = 4??= > 488 $  >
3%6P/Nd	, 599%%11tL#+ M#+L 4&&DAG BG 4??= > 4>>##>' ?' 4<<  ! QB B/
 )):):; *499+>+>? )$***<*<= +DJJ,@,@A  dll  499J J 4::J J >44$OL PL
 >&&DAK BK >''TBJ CJ
 >--4H	 I	 >((dCRS  D6 >))tDLM	(09FI E8. 4$$++F
 "&^^
^ 	^
 ^ ^  ^ ^ G^B NN(G(Q(Q 777 	7
 77t"$CN d'' ( d&& ' d== > dll ' d&&U 3 d!! " d,,5 9 d"" /99%%E d!! " d"" # doo  d!!)) * d++33 4 djj  dnn## $ d))11 2 d,,44 5 dkk  d$$5 1 d . d'')@ A doo} - d&&(: ; d!!#5 6 d..0B C d** + d== > d== > d22 3 d== > d33 4 d00- @ d00 1 d// 0 d// 0 d11 2 d11 2 d-- . d-- . d-- . d..0B C d00 1 d++] ; d"" # dii  dii  dmm  dii  dii  dkk  dnn  dmm  dll  doo  d  d-- . d   ! d'' ( d## $ dnn  d&& ' d"" # d$$ % dnn  d"" # d## $ d** + d  dnn  djj  d'' ( d// 0 d   d## $ d%% & d## $ d!! " djj  dmm  dll"" # dhhU + d((- 8 ell$$;; < ell$$77 8 ell$$AA B
 d!! " d** + d""$6 7 djj  d'' ( d;; < dnn  doo  djj  0088	
 99AA	
 ,,44	
 55==	
 ,,44	
 55==	
 44<<	
 ==EE	
 99AA	
 BBJJ	
 d++33_ E d,,44o F d//77 I d0088/ J d  
 499$7
 8
 4::"  ( 4"#+d**+E2 5:: ( 4&&DA B: 4%%4@@ A@F ELL$"4"456tDU 5 75p 5??#4 $4 5##$+ %+ 4++,+" -+"\ 4&&' ( 4//0%)59$ 1< 4>>t<K =K8 EKK,- 
 .$.> 0t/0B50IJ
1!45	 21 56
 4>>" $T$4  # 4%%&Td '> 4))*"4 +" 5%%--.A /A EJJ		*+: ,:
 4;;D9! :!H 4>>t< =B#F FR"1J 4::48
 9
 4%%4@/ A/ 4>>t< = 4))* +;
 4??= > >44$O P{| !1%%5!  0@,,44%0 ,
 4,,$G H, 4;;QUV	P W	P 1 1 4**E F 4<<T:9 ;9 !& 
  B 4==d;DH : <:" 4##>3 ?3 4$$$?6 @6 4&&DAP BP 4''TBPT m Cmh , *, 	,
 ,^ 4**223> 4> 41199:J ;J 4**223RVI-I@OI 4I 41199:RVU-U@OU ;U 4**223 !% $ $S S 	S
 S 4S 41199: !% $ $	 	 		
 	 ;	7 599$$% &*\\(\6;\\~ 4''TB4 C4n :>< MQ < JN@:HV 5::PTU 5 V5D3 3	 > 	11t$< 4//TJ 
 K
 4//TJ 
 K
 -=))11- ) 488dSL TL^8B&R2j  0%%5  
 4,,-B .BJ  0$$%  
 4++,N -Nb. 4--.V /V 4--.V /V?D 433;;<BF* =*Z 'OO  'OO 
 4??=  >* 4??=  >*wt  0$$%  
 4++F b GbJ  0$$%  
 4++F D GDN$.b ( 499:t : : 4 (V4( DHHeii()T5  * 4==!u  "   .HH  'txxER -HH 
 488t,, -,^ F 4::2 2 4::48 9     488t, - DHH:.( /(@ EII;$/$ 0$( 	txx'7DD

 DIIuzz*d;$ <$  DHHeii(). . *. #4;;#6#67#DLL$8$89 ():):)B)BC "4;;#6#67"4;;#6#67 4;;  . 4<<  !. 4$$% &* 4;;D9 :, 4;;D9 :, 499. . . 488@ @
 48867 77 48867 77 ! %--  	!: ;*		*>%+@A*		*>%+@A.!$++.85;;? /!$++.85;;? HH$L !!1!1uM 499##>!re $2 ?$2N 499$$$?H @H 	#4::.&txx0!$)),"4::.$))$
*4<<
8'		2	DKK	(t4   *   *" !1!12'(?(?@  -  0
()A)AB  !1!12 4;; ' * *I*V*V 4:: & 488 $ 499 %   * **	 !**	  OO**	
 !**	 T\\
*
T\\
* ! $.. !' * ! $.. !' *""'8
 4>> "$))L 499  4<<uzz B ! $.. !# & 477%** = 477%** = 477%** =uzzB 477%** = 477%** = 499 % 499 % 499 % 4:: & 499 % 4:: & 4:: & 499 % 4:: & 4== ) 499 % 4;; ' 4:: & 4:: & 499 % 4>> * D DE$ % 
D4Ld5 
0 	 3+		

 5Mt5 
0 	 3+		


, .CT  0ct  4,,33Sd K-d.?.?.D.DcJ  4,,33S 9/0A0A0H0H#N  4,,113 7 4,,33S 9 4,,44c : 4,,44c : 4,,33S 9 4,,113 7 4,,<<c B-d.?.?.D.DcJ  4,,33S 9/0A0A0H0H#N  4--t 4 4.. 6 40055w ? 40077 A 40055w ? 40077 A 42277 A 422997 C 42277 A 422997 C 433Z @ 4--t 4 4--t 4, T..335E t00779K T..335E t00779K T..335E t00779K
 C   ""K 0 ))+= > ""K 0 !!: . **,? @ ""K 0 C   !!3 ' && 1 ""K 0 ""K 0 !!: . ""K 0 C   T "  (   $,,  , " $// "#5 6  $++ z * " $// "#6 7  $,,  ,  - !!4?? 3 t{{ + !!4?? 3  - 4++, - 4==$$% &  4??&&' ( 4>>" # (M'') 8LFD1(01$78 5==! " 4<< 7 !7 599++334 5
 599%%;;< = 599>>&&445K 6K 599>>7#uyy~~++334# 5# 599>>(()%) = *=@ K J ! " 12S 3S( 599))..DI/ J/ 599))44$O* P*0 599))99tT/ U/
 5**77TRDH  S8 &DA  4G  B F 599??//778 9 599))66DQ+ R+* 3 2   >88dS2 T2l     ! ! +  * * , '  ' ' )   ,  + + -   %  $ $ &  r]   