o
    i                  -   @   s8  d dl Z d dlmZmZ d dlmZ d dlmZ d dlm	Z	 d dl
mZ d dlZd dlmZ d dlmZmZmZ d dlmZmZmZm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#m$Z$m%Z%m&Z&m'Z' d dl(m)Z)m*Z*m+Z+m,Z,m-Z- d dl.m/Z/m0Z0 d dl1m2Z3 d dl4m5Z5m6Z6 d dl7m8Z9 e	dZ:edZ;ej<j=Z=ej>?dddZ@eAd\ZBZCZDdd ZEdd ZFdeee;e:f gee;e:f f fddZGde!fdd ZHd!d" ZId#d$ ZJeGe=jKe=jLge- dddejMd%d%fd&d'ZNeGe=jOjPe=jOjQge- d(d) ZReGe=jSjPe=jSjQge- d*d+d,d-ZSeGe=jTe- d.d/ ZTeGe=jUjPe=jUjQe=jVjPe=jVjQge-d0d1d2d3 ZWeGe=jXjPe=jXjQge- d4d5 ZXd6d7 ZYdvd8ed9eZe[ d:e\fd;d<Z]eGe=j^jPe=j^jQge- d=d> Z_dZ`d9eZe[ fd?d@ZaeGe=jbjPe=jbjQge- dAdB ZceGe=jdjeddCdDdEZfeGe=jdjPejgddddFdGdHZheGe=jijPe=jijQge- ejgddddFdIdJZjeGe=jijke=jijlge- ejgddddFdKdLZmeGe=jnjPe=jnjQge- dddddFdMdNZoeGe=jpjPe=jpjQge- d8ed9eZe[ dOe[dPe[fdQdRZqeGe=jrjPdvdSdTZsdUdV ZteGe=jujPdWdX ZveGe=jw			dwdYedZed[ed\edB d]exdB d^ejydB fd_d`ZzeGe=j{	dxdaedbedced^ejydB fdddeZ|eGe=j}dfdfddgdYedaedbedced^ejydB f
dhdiZ~eGe=j				%	 	f	*dydjejdkejd\edB dledB d^ejydB dme\dne[doe[dpe[fdqdrZeGe=jjPdsdtd8ed9e[duedvejdwexdxe\defdydzZeGe=jjPdsdtd8ed9e[duedvejdwexdxe\defd{d|Ze- eGe=jjPd}d~ ZeGe=jjPdddd d%dddedwexdedB d1edB dedB de[de\defddZeGe=jjPe=jjge- dd ZeGe=jjdvddZeGe=jjPe=jjge- dd ZeGe=jjdvddZeGe=jjPdd ZeGe=jjQdd ZeGe=jjPdd ZeGe=jjdd ZeGe=jjPdd ZeGe=jjPddddddddZeGe=jjPdzddZeGe=jjPdwddZeGe=jjPdzddZeGe=jjPdd ZeGe=jjdd Zd8edexfddZd8ededexfddZ	sd{dedexde\fddZd|dedexdexfddZdedede\dexfddZ	d}dexdedYedexfddZdexfddZeGe=jjPe=jjge-ddd~dedexde\fddńZeGe=jjPe=jjQge- dYedefddǄZeGe=jge-dddYefddɄZdedefdd̄ZeGe=je- d8edede\defddτZeGe=je- dvd8edede\defddфZeGe=je- dvd8ede\defddӄZeGe=je- dvd8ede\defddՄZeGe=jjPddede\de\fdd؄ZeGe=jjPe=jjQge- dYededefddۄZeGe=jjPdvdede\fdd݄ZeGe=jjPe=jjQge-dddd%d%dd8ede\de\deeeef fddZeGe=jjPe=jjQge- d%ddededede\def
ddZeGe=jjPe=jjQge-ddddsddede\deeeef fddZeGe=jjPe=jjQge-ddddsd%ddede\de\deeeef fddZeGe=jjPe=jjQge- dsd%ddededede\de\defddZeGe=jǃe-ddd	s	sddedede\de\deeeef f
ddZdexdee\e\f fddZeGe=jjPe=jjQge-ddddedexdeeef fd dZeGe=jjPe=jjge-dddd߃dedeeeeef fddZeGe=jjP	%	s	ddede\de\dexdB fd	d
ZϐdededeeZe[ eZe[ f fddZАdededexdB deeef fddZdYedede\fddZeGe=jӃdsd%ddddddedede\de\dedB dedB dedB dedB deeeeef fddZeGe=jjPe=jjQgdsd%dddedede\de\de\dedB defddZeGe=jփe-dddsd	s	%	%dd8edede\de\de\deeef fd d!ZeGe=jjPd"d# ZeGe=jڃe- 	s	%ddYededede\de\defd$d%Zڐd&d' Zېd(d) ZeGe=j݃e- d*d+ ZeGe=j߃e- d,d- Zd.d/ ZeGe=je-d0d1d2 ZeGe=je-d0d3d4 Zd5d6 ZeGe=je- d7d8 ZeGe=je- d9d: ZeGe=jjPd;d< ZeGe=jjPe=jje=jjPe=jjge-d0d=d> Zd?d@ ZeGe=je- dAdB ZeGe=je- dCdD ZeGe=jjPe=jje=jjPe=jjge-d0dEdF ZeGe=je- dd8edHedefdIdJZeGe=je- dKed8edHedLedef
dMdNZeGe=jjPe=jjQge-dsddfdfdOdPdQZeGe=j jPe=j jQge- ddCdRdSZeGe=jjddUdVZeGe=j jddWdXZeGe=jjPe=jjQge- dxdYdZZeGe=jjP	%	%dd[d\Z	eGe=j
e-dsddxd^ejydB fd]d^Zd_d` ZddbdcZ	dxddejdZejdeeZe[ e[B dfeZe[ e[B dgeZe[ e[B dhe\die[djeZe[ e[B dB fdkdlZdmdn ZeGe=jjPddejdZejd\ejdB doejdB dpejdB dqe\dredsefdtduZeGe=jjPddejdZejd\ejdeeZe[ dfeZe[ dgeZe[ dhe\djeZe[ die[fdvdwZejj
rej>?dxddZeGej<jjjPdydz ZeGej<jjjPd{d| Zejj	rej>?d}ddZeGej<jjd~d Z ej>?dddZ!eGej<j"j#jPeGej<j"j$jPeGej<j"j$j%dd Z&eGej<j"j#j'eGej<j"j#j(dd Z)eGej<j"j*jPeGej<j"j*j%dd Z+eGej<j"j*j'eGej<j"j*j(dd Z,eGej<j"j-jPeGej<j"j.jPdd Z/ej>?dddZ0eGej<j1j2				%dddZ3eGej<j1j4dd Z5dd Z6eGe=j7jP			%	s	dddZ8dd Z9eGe=j:jPdd Z;eGe=j<e- 			%	s	dddZ=eGe=j>e-d0dd Z?eGe=j@jPdd ZAeGe=jBjPdd ZCeGe=jDjPdd ZEeGe=jFe-d0dd ZGdedexfddZHeGe=jIe-dd1dd ZJeGe=jKe-d0dd ZLeGe=jMe-dd1dd ZNeGe=jOe-d0dd ZPeGe=jQjdxddZReGe=jSjPe=jSjQge- dd ZTeGe=jUjPe=jUjQge- d*dde[fddZUeGej<j=jVjPej<j=jVjQge- dd ZVeGe=jWje=jXjgdd ZYeGe=jZjPgdd Z[eGe=j\jPe=j\jQge-dsddfdfdOddZ]eGe=j^jgddÄ Z_eGe=j`jPe=jajPgdddĜdŐdƄZbeGe=jcjPgdddĜdǐdȄZdeGe=jege- dɐdʄ ZfeGe=jggdːd̄ ZheGe=jigd͐d΄ ZjeGe=jkgdϐdЄ ZleGe=jmgdѐd҄ ZneGe=jogdӐdԄ Zode[de[de[fdאd؄Zpdِdڄ ZqeGe=jrgd\edB fdېd܄ZseGe=jtgdݐdބ ZueGe=jvgdߐd ZweGe=jxjPdd ZyeGe=jze- dd Z{eGe=j|jP	%	 	%		%	*dddZ}eGe=j~jPdd Zd{ddZeGe=jjPe=jjQge- dddddZeGe=jjPe=jjPgdd ZeGe=jje=jje=jje=jje=jjPe=jjge-d0d1dddZeGe=jjPdd ZeGe=jjPdd ZeGe=jjPdd ZeGe=jje=jje=jje=jje=jjPe=jjPe=jjPgdd ZeGe=jje=jje=jje=jjgdddZeGe=jje=jjgdddZeGe=jjPe=jjgdd Zd d ZeGe=jje=jjgdd ZeGe=jje=jjgdd ZeGe=jjPdd ZeGe=jje=jjgdd	 ZeGe=jje=jjgd
d ZeGe=jjPdd ZeGe=jje- ddefddZeGe=jge- 	dddZeGe=jg	dddZeGe=jg	dddZeGe=jjPe=jjPgdvddZeGe=jjdd ZeGe=jjPdd ZeGe=jdd ZeGe=je- d d! ZeGe=jd"d# ZeGe=jjPdvd$d%ZÐdzd&d'ZeGe=jjPd(d) ZeGe=jjyd*d+ Zǐd,d- ZȐd.d/ Zɐd0d1 Zʐd2d3 Z	%dvdYed4e[d5e[d6e[d7e[d8e[d9e[d:e[d;e[d<e[d=e[d>e[d?e[d@e[dAe[dBe[dCe[dDe[dEe[dFe[dexdGe\f,dHdIZ̐dJdK ZdYeded4e[d5e[d6e[d7e[d8e[d9e[d:e[d;e[d<e[d=e[dAe[dBe[dCe[dDe[dEe[dFe[dexf&dLdMZΐdNdO ZeGe=jjPdPdQ ZeGe=jjP				%ddRdSZeGe=jjPdTdU ZeGe=jփe-dd1				%ddVdWZeGe=j؃e-d0dXdY ZdYedZefd[d\ZG d]d^ d^eZdYedZed_e[fd`daZeGe=jjPdbdc ZeGe=j߃e- ddde ZeGe=je-d0dfdgdh ZeGe=jjPgdidj ZeGe=jjP					ddkdlZeGe=jjPe=jjQge- ddddd%dmdndoZeGe=jjPe=jjQge- ddddd%dmdpdqZeGe=jjPdrds ZeGe=jjPddtduZd{d9e[dve[dwe\fdxdyZdzd{ Zd|d} ZeGe=jjPdvd~dZdvddZdxddZdd ZdxddZdddZeGe=jjPdd ZeGe=jdd ZeGe=jje=jje=jje=jjge- dxddZeGe=jje=jje=jje=jjgdxddZ eGe=jg		%	%	ddedededede\de\dedB fddZdedee[df fddZeGe=jg		%	%	ddededededB de\dede\de\dedB fddZeGe=jg			%	%	ddededededB dede\de\dedB fddZeGe=jg	dxdedededededededede[de[dede\dedededB fddZ	eGe=j
g		%		ddedededede\dedB dedB fddZeGe=jg		dzdededededededede\dedB dedB fddZeGe=jg			%		ddededededB dede\dedB dedB deeef fddZeGe=jg		%	ddededededB de\de\dedB fddZeGe=jg	%	ddedededededB dedededededeZe\ de\dedB fddZeGe=jg	dxdededededededededededede[de[dede\dedB f ddZeGe=jg					ddededededB dedB de[de[dede\de\dedB de[dB de[dB dedB dedB fdÐdĄZeGe=jg			dwdedededededededede[de[dede\dedededB de[dB de[dB f"dŐdƄZeGe=jg	%				ddededed\edB dedB dedB de[dB de[dB dede[de\dedB dedB dedB de[dB fdϐdЄZeGe=jg			%ddedededed\edB dedB dedB dejdejdedededede[de\dedB de[dB de\f$dԐdՄZ				%dd8ejdcejdejdejd\ejdB dejdB d^ejydB de\fdڐdۄZeGe=j jPg				%dd8ejdcejdejdejd\ejdB dejdB d^ejydB de\fdܐd݄Z!					%dd8ejdcejdeZej deZe5 deZej deZe5 d\ejdB d^ejydB deZe6 dB deZe6 dB de\fddZ"eGe=j#jPg				%dd8ejdcejdeZej deZe5 deZe6 deZej deZe5 deZe6 d\ejdB dejydB deZe[ dB de\fddZ$eGe=j%j&e=j%j'ge- d{ddZ(eGe=j)j&d{ddZ*eGe=j+jPe=j+jQge- dvddCddZ,dd Z-dd Z.eGe=j/jPe=j0jPgdxddZ/eGe=j1jPe=j2jPgdzddZ1eGe=j3jPe=j4jPg		dzdedee[ejB  dee[ejB  dedB dedB f
ddZ3eGe=j5jPe=j6jPgdwddZ5eGe=j7jPe=j7j8e=j7je=j7j9gdddZ:d d Z;eGe=j<jP		dzddZ=eGe=j>jPdd Z>eGe=j?jPdd Z?dd	 Z@d
d ZAeGe=jBjPe=jCjPgdddZDeGe=jEjPdddZEeGe=jFjPdddZGeGe=jHe- 	dddZIeGe=jJjPe=jJjge-d0d1dddZKejLZMdd ZNeGe=jOjPdd ZOeGe=jPjPdd ZPeGe=jQjPdd ZReGe=jSjPdd ZSeGe=jTje=jTjUge- d%d%d d!d"ZVeGe=jWge- dd$d%ZXeGe=jYjPe=jZjPg		dzd&d'Z[eGe=j\jPg		dzd(d)Z]eGe=j^jPd*d+ Z^eGe=j_jPe=j_jQge- dwd,d-Z_eGej<j=j`d.d/ Z`eGej<j=jad0d1 ZaeGe=jbe- d%d%ddd2d3d4Zcd5d6 ZdeGe=jed7d8 ZfeGe=jg	*dd9d:ZheGe=ji	*dd;d<ZjeGe=jk	*dd=d>ZleGe=jme- d%d%d?d@dAZneGe=joe- dBe[d8edefdCdDZpeGe=jqd8efdEdFZreGe=jse-dsdd8edefdGdHZseGe=jte- d8edefdIdJZtdKdL Zu					%ddMedNedejdB dejdB dOedB d\edB dejdB d^ejydB de\fdPdQZveGe=jwe- 			dwdMedNedOedB d\edB d^ejydB defdRdSZxeGe=jyg					%ddMejdNejdejdejdOejdB d\ejdB dejdB d^ejydB de\fdTdUZzeGe=j{e- dVed9e[dWe\defdXdYZ|eGe=j}e- ddZd[Z~eGe=je- 	*	%	%ddZed1ed\e[d]e\d^e\defd_d`ZeGe=jjP	dd0edeZe daeZe[ dbefdcddZdedf ZeGe=jjP		s	s	ddgdhZdidj Zee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j ee=j dkdl ZeGe=je- dmdn ZeGe=je- dfdodpdqZeGe=je- dfdodrdsZee=jZee=jZee=jZd dl.Zd dlZd dlZdtdu Ze  dS (      N)CallableSequence)Enum)wraps)TypeVar)	ParamSpec)SymBoolSymFloatTensor)_add_op_to_registry_convert_out_paramsglobal_decomposition_table
meta_table)
OpOverload)_prim_elementwise_meta$ELEMENTWISE_PRIM_TYPE_PROMOTION_KIND)BoolLikecorresponding_complex_dtypecorresponding_real_dtypeelementwise_dtypesELEMENTWISE_TYPE_PROMOTION_KIND	FloatLikeIntLikemake_contiguous_strides_forNumbersuggest_memory_format
TensorLike)_maybe_convert_to_dtype_maybe_resize_out_resize_output_check_safe_copy_outout_wrapper)_broadcast_shapes_maybe_broadcast)_config)ScalingTypeSwizzleType)_pytree_T_PatenIMPLMeta   c                 C   s   | | d | S N    abr0   r0   [/sda-disk/www/egybert/egybert_env/lib/python3.10/site-packages/torch/_meta_registrations.pyceil_div7      r5   c                 C      | | d | | S )z$Rounds up x to nearest multiple of yr/   r0   xyr0   r0   r4   round_up;   s   r;   returnc                    s    fdd}|S )Nc                    s$   t    fdd}t|  S )Nc                    s   t t|   d S N)r   r   opfnr0   r4   registerD   r6   z0register_meta.<locals>.wrapper.<locals>.register)r   pytree	tree_map_)rA   rB   r>   r@   r4   wrapperA   s   zregister_meta.<locals>.wrapperr0   )r?   rE   r0   r>   r4   register_meta@   s   	rF   type_promotionc                    s>   t j|d| i\}  fdd|D }t| }t|dtjiS )Ntype_promotion_kindc                    s   g | ]}t | qS r0   )r   .0r9   result_dtyper0   r4   
<listcomp>V       z$elementwise_meta.<locals>.<listcomp>rG   )utilsr   r#   r   r   DEFAULT)rG   args_r0   rK   r4   elementwise_metaM   s   
rS   c                 C   s(   t jt jt jt jt jt ji}|| | S r=   )torch	complex32halfcfloatfloatcdoubledoubleget)dtypefrom_complexr0   r0   r4   toRealValueTypea   s
   r^   c                    s2   t tg|R   t k fdd d S )Nc                         d d  S )Nzoutput with shape z# doesn't match the broadcast shape r0   r0   broadcasted_shape
self_shaper0   r4   <lambda>n       z)check_inplace_broadcast.<locals>.<lambda>)tupler"   rT   _check)rb   
args_shaper0   r`   r4   check_inplace_broadcastj   s
   rh   Fc	           	         s  t tjrt dkdd  t tjr$t dkdd  tdd fD rMtt  d u r> ntt	 fdd npRt t tj
s[J tt tfdd t tsqJ tdkd	d  tjf|d
||dS )Nr   c                   S      dS Nz:linspace only supports 0-dimensional start and end tensorsr0   r0   r0   r0   r4   rc          z(meta_linspace_logspace.<locals>.<lambda>c                   S   ri   rj   r0   r0   r0   r0   r4   rc      rk   c                 s   s    | ]}t |tV  qd S r=   )
isinstancecomplex)rJ   argr0   r0   r4   	<genexpr>   s    z)meta_linspace_logspace.<locals>.<genexpr>c                         d  d S )Nzlinspace(): inferred dtype z& can't be safely cast to passed dtype r0   r0   )default_complex_dtyper\   r0   r4   rc      rd   c                      s*   dt j dt  j dt j dS )Nz4received an invalid combination of arguments - got (, ))type__name__r0   )endstartstepsr0   r4   rc      s    c                   S   ri   )Nz$number of steps must be non-negativer0   r0   r0   r0   r4   rc      rk   metar\   layoutdevice
pin_memoryrequires_grad)rl   rT   r
   rf   dimanyrO   r   get_default_dtypeis_complex_dtyper\   _check_typer   empty)	rw   rv   rx   baser\   r|   r{   r}   r~   r0   )rq   r\   rv   rw   rx   r4   meta_linspace_logspacer   sH   

r   c                    sN   t  jt jk fdd t |  dko  dk dd  |  jS )Nc                         d j  S )Nz2take(): Expected a long tensor for index, but got r\   r0   indexr0   r4   rc          zmeta_take.<locals>.<lambda>r   c                   S   ri   )Nz*take(): tried to take from an empty tensorr0   r0   r0   r0   r4   rc      rk   )rT   rf   r\   long_check_indexnumel	new_emptyshape)selfr   r0   r   r4   	meta_take   s   

r   r   c                   sh   j }j }t||kdd  t dko dk fdd tjj}|S )Nc                   S   ri   )Nz=linalg.cross: inputs must have the same number of dimensions.r0   r0   r0   r0   r4   rc      rk   zlinalg_cross.<locals>.<lambda>r-   c                      s"   d  d   d   S )Nzlinalg.cross: inputs dimension z must have length 3. Got  and sizer0   r   otherr   r0   r4   rc      s
   )ndimrT   rf   r   r"   r   r   )r   r   r   x_dy_d	out_shaper0   r   r4   linalg_cross   s   
r   c                 C   s$   t | d t| d tj| tjdS )Nzlinalg.matrix_expmemory_format)squareCheckInputscheckFloatingOrComplexrT   
empty_likecontiguous_formatr   r0   r0   r4   linalg_matrix_exp   s   

r   valuesindicesc                 C   sV   t j| j| j| jd}t j| j| jt jd}|  dkr'| jdkr't|| j ||fS )Nr|   r\   r   )	rT   r   r   r|   r\   int64r   r   maybe_wrap_dim)r   r   r   r   r0   r0   r4   	cummaxmin   s
   r   c                 C   s   t || j tj| tjdS Nr   )r   r   rT   r   r   )r   r   r0   r0   r4   logcumsumexp   s   r   c                   s  |j }t|}|| }tt|}dd t|D }	|D ]}
d|	|
< qg g }}|D ]}
|	|
 s6||
 q*||
 q*|| }t|}|  |d | }|j fdddd |||d   }||}dgt|j|d   }|	|}|
d}||d< t|}tt|D ]}|||  ||d	 < q| j|tjd
 dd t|D }d	}|d	 }|dkr|| d ||| < ||||  9 }|d	8 }|dkst||D ]}| d	||  ||| < q| |||   | S )Nc                 S      g | ]}d qS Fr0   rJ   rR   r0   r0   r4   rM      rd   z_exec_fft.<locals>.<listcomp>Tc                        |  S r=   r0   r9   self_stridesr0   r4   rc   
      z_exec_fft.<locals>.<lambda>keyreverser   r   r/   r   c                 S   r   r   r0   r   r0   r0   r4   rM     rd   )r   lenlistrangeappendstridesortpermuter   reshaper   resize_rT   r   as_strided_storage_offset)outr   	out_sizesr   forwardr   signal_ndim
batch_dimsdim_permuteis_transformed_dimdleftright	batch_endtmpinputbatched_sizes
batch_sizebatched_out_sizesiout_stridesbatch_numelr0   r   r4   	_exec_fft   sN   




r   r   r   exclude_lastc                    s<   t |}|   |d t|t|  j fddd |S )Nc                    r   r=   r0   r   r   r0   r4   rc   ,  r   z_sort_dims.<locals>.<lambda>)r   )r   r   r   intr   )r   r   r   sorted_dimsr0   r   r4   
_sort_dims(  s   
r   c                 C   sH   t | jj |s|  S t| |}| |  }t|| |  ||dS )Nr   )	rT   rf   r\   
is_complexcloner   r   r   r   )r   r   normalizationr   r   r   r0   r0   r4   meta_fft_c2c3  s   
r   c                 C   s8   t | tkst | dkr| d dkr| d dkrdS dS )N   r   r/   FT)r   cufft_max_ndimr   r0   r0   r4   use_optimized_cufft_pathB  s   0r   c                    s  t | jj t|  }t|}|d }|| d d }t|}|||< |r+|||< t| dks7t| dkr| j|t	| jd}	| }
t| dkrXt
|rXt|	|
||dd ngt|dkr`|n|}t|	|
||gdd t|dkr}| j|t	| jd}
|d d }|r|
|	}	}
|
  |j fd	d
dd ttt|}|t|| d  }t|	|
||dd |d t||  }|s|s|	||| kr|
j|t jd |
}	|	S | j|t	| jdS )Nr   r   r/   cudaxpur   Tr   c                    r   r=   r0   r   stridesr0   r4   rc   p  r   zmeta_fft_r2c.<locals>.<lambda>r   r   )rT   rf   r\   is_floating_pointr   r   device_hintr   rO   r   r   r   r   r   r   minr   r   r   )r   r   r   onesidedinput_sizesr   last_dimlast_dim_halfsizeonesided_sizesoutputworking_tensortarget_sizesr   max_dims	last_dimsr0   r   r4   meta_fft_r2cI  sX   

r   )	generatorc                C   s   t |t| gS r=   )r   rT   Size)nr   r   r0   r0   r4   meta_randperm  s   r   r\   r{   r|   r}   c                C      t j| ||||dS Nr   rT   r   )r   r\   r{   r|   r}   r0   r0   r4   meta_randperm_default  s   	
r  c                   s2   dt  k fdd t j|||||dS )Nr   c                      r_   Nz:random_ expects 'from' to be less than 'to', but got from=z >= to=r0   r0   highlowr0   r4   rc     rd   zmeta_randint.<locals>.<lambda>r   rT   rf   r   )r  r   r\   r{   r|   r}   r0   r  r4   meta_randint  s   
r  c                   s.   t  k fdd t j|||||dS )Nc                      r_   r  r0   r0   r  r0   r4   rc     rd   z"meta_randint_low.<locals>.<lambda>r   r  )r  r  r   r\   r{   r|   r}   r0   r  r4   meta_randint_low  s   
r  c                C   r   r   r   )r   r\   r{   r|   r}   r0   r0   r4   meta_rand_default  s   
r	  r   lastdimc           
      C   s*  t | jj t| dkrZt|  }|||d < | j|t| jd}t	|r5t
|| jt jd||ddS t|dkrGt| |d d d|}n| jt jd}t
||||d gddS | }t|dkrv|d d }t| ||dd}|dd  }t| }|||d < | j|t| jd}	t
|	|||ddS )	Nr   r   r   r   Fr   r/   r   )rT   rf   r\   r   r   r   r   r   r^   r   r   r   r   r   r   )
r   r   r   r
  r   r   tempr   c2c_dimsr   r0   r0   r4   meta_fft_c2r  s4   	r  c                 C   sf   ddl m} || st| dkrtdt|tr1|| |}|  | kr1t	j
||   | S )Nr   )free_unbacked_symbolsr/   zQmore than one element of the written-to tensor refers to a single memory location)%torch.fx.experimental.symbolic_shapesr  rT   _debug_has_internal_overlapRuntimeErrorrl   r
   tor   r*   expand_copydefault)r   srcnon_blockingr  intermediater0   r0   r4   
meta_copy_  s   
r  c                 C   sX   t |  }t |  }||  krdn|| ||  }||d ||| ||fS r.   )r   r   r   r   insert)tensorr   result_sizesresult_strides
new_strider0   r0   r4   inferUnsqueezeGeometry  s    r  c                 C   s0   t ||  d }t| |\}}| || | S r.   )r   r   r  r   )r   r   g_sizes	g_stridesr0   r0   r4   meta_unsqueeze_  s   r!  r   weight_metabias_activation_opt	out_dtypec           	      C   s   t | j}|d ur|d|dksJ d|d| dd ks%J |d|d< t| jdks7J dd| df}|d urQ| jtjkrM|tjksQJ d| j||d u r[| jn|d	||}|S )	Nr   zoutput size mismatchr/   r   r   z*we can only handle the squashed input case9out_dtype is only supported for i8i8->i32 linear operatorr   )
r   r   r   r   r\   rT   int8int32r   
as_strided)	r   r"  r#  r$  r%  r&  output_sizestransposed_stridesr   r0   r0   r4   meta_sparse_structured_linear!  s$   
	r-  mat1	mat1_metamat2c                 C   s   t | jdks	J t |jdksJ t |jdksJ | d|dd ks)J | d|dg}|d urF|jtjkrB|tjksFJ d|j||d u rP|jn|d}|S )Nr   r/   r   r'  r   r   r   r   r\   rT   r(  r)  r   )r.  r/  r0  r&  r+  r   r0   r0   r4   meta_sparse_structured_mmC  s   r2  r/   )alphabetar&  c          	      C   s   t | jdksJ dt |jdksJ t |jdksJ t |jdks&J | d|dks4J d|d|dd ksBJ |d|dg}|d ur_|jtjkr[|tjks_J d|j||d u ri|jn|d}|S )Nr/   zEonly input broadcasted to columns of mat1 * mat2 product is supportedr   r   r'  r   r1  )	r   r.  r/  r0  r3  r4  r&  r+  r   r0   r0   r4   meta_sparse_structured_addmm\  s(   r5  compressed_Adense_Br3  transpose_resultalg_idsplit_ksplit_k_modec	                 C   s
  |j tjtjtjtjtjhv sJ d| j |j ksJ dt|jdks(J d| j tjtjfv }	|	r;|	 r;J d|
d}
| 
d}|d urR||
dksRJ |d urt|	rd|tjtjtjtjhv stJ d| j  d	|j  d
| d|rz|
|fn||
f}|j||dS )Nz;_cslt_sparse_mm only supports fp16, bf16, int8, and fp8e4m3zinputs must have the same dtyper   z'_cslt_sparse_mm only supports 2d inputsz.dense input must be transposed for 8bit dtypesr/   r   zout_dtype is not supported for z x z -> z matmul!r   )r\   rT   float32float16bfloat16r(  float8_e4m3fnr   r   is_contiguousr   r)  r   )r6  r7  r$  r3  r&  r8  r9  r:  r;  is_8bit_input_typer   moutput_shaper0   r0   r4   meta__cslt_sparse_mm  s>   


rD  T)include_selfr   sourcereducerE  c                C      t j| t jdS r   rT   r   r   r   r   r   rF  rG  rE  r0   r0   r4   meta_index_reduce  s   
rK  c                C      | S r=   r0   rJ  r0   r0   r4   meta_index_reduce_  s   
rM  c                 C   s.   t |  }|  dkr| ||< | |S Nr   )r   r   r   r   r   )r   r   r   result_sizer0   r0   r4   meta_index_select  s   
rP  )lengthsr   offsetsaxisunsafeinitialdatarQ  rR  rS  rT  c          
         sf   |d urt d fdd}|d ur||jS |d ur/|jd d |jd d f }	||	S td)Nz?segment_reduce(): indices based reduction is not supported yet.c                    s(   t j| j d d   jdt jdS )Nr/   ry   r\   r|   r   )rT   r   r   r\   r   )lengths_shaperS  rV  r0   r4   segment_reduce_lengths_tensor  s   z:meta_segment_reduce.<locals>.segment_reduce_lengths_tensorr   r/   z<segment_reduce(): Either lengths or offsets must be defined.)NotImplementedErrorr   r  )
rV  rG  rQ  r   rR  rS  rT  rU  rZ  rX  r0   rY  r4   meta_segment_reduce  s   
r\  c                 C   
   |  dS Nr0   r   r   r0   r0   r4   meta_max     
r`  c                 C   6   t | j|f}t| ||}| || j|tjdfS Nr   rO   reduction_dimsr   _compute_reduction_shaper   rT   r   r   r   keepdimrC  r0   r0   r4   meta_max_dim  
   ri  c                 C   r]  r^  r_  r   r0   r0   r4   meta_min  ra  rk  c                 C   rb  rc  rd  rg  r0   r0   r4   meta_min_dim  rj  rl  c                 C   s4   |   r
t| j}n	t| tjd\}}tj| |dS NrH   r   )r   r   r\   r   r   INT_TO_FLOATrT   r   )r   rL   rR   r0   r0   r4   
meta_angle  s   
rp  c                 C   s$   t ||  | j |t | S r=   )rT   _resize_output_r   r|   copy_angle)r   r   r0   r0   r4   meta_angle_out"  s   rt  c                 C      d S r=   r0   )valr0   r0   r4   assert_async(     rw  c                 C   ru  r=   r0   )rv  
assert_msgr0   r0   r4   assert_async_meta-  rx  rz  c                 C   ru  r=   r0   )sr0   r0   r4   
print_meta2  rx  r|  r\   r{   r|   r}   r   c                 C   s   t jdddS )Nr   ry   r|   r   r}  r0   r0   r4   make_dep_token7  s   	r  c                 C   s4   ddl m} t| ttfrtd|| ||d d S )Nr   )constrain_range'Constraining SymFloat or Symbool is nyir   max)r  r  rl   r	   r   
ValueError)r   r   r  r  r0   r0   r4   sym_constrain_rangeC  s   r  c                 C      t j| ||d |S Nr  )r*   r  r   r   r  	dep_tokenr0   r0   r4   functional_sym_constrain_rangeM     r  c                 C   s   ddl m} |d u r|d u rt| dk d S t| ttfr"tdt| t	u r@|d ur3t| |k |d ur>t| |k d S || ||d d S )Nr   )_constrain_range_for_sizer  r  )
r  r  rT   rf   rl   r	   r   r  rt   r   )r   r   r  r  r0   r0   r4   sym_constrain_range_for_sizeS  s   r  c                 C   r  r  )r*   r  r  r0   r0   r4   'functional_sym_constrain_range_for_sizeg  r  r  c                 C   s   |S r=   r0   )rv  ry  r  r0   r0   r4   functional_assert_async_metam  rx  r  f_namec                 C   sX   |   dksJ | d| d| dks*J | d| d d| d dd S )Nr   z3: The input tensor must have at least 2 dimensions.r   z5: A must be batches of square matrices, but they are  by 	 matrices)r   r   )r   r  r0   r0   r4   r   s  s    r   Anamec                    s   t j jk fdd t j jk fdd t  d dk fdd t  ddk fdd d S )Nc                         dj  d j  dS )Nz:Expected b and A to be on the same device, but found b on z
 and A on 	 instead.r~  r0   r  r   r0   r4   rc     
   z(linearSolveCheckInputs.<locals>.<lambda>c                      r  )Nz=Expected b and A to have the same dtype, but found b of type z and A of type r  r   r0   r  r0   r4   rc     r  r   r  c                      s   d  d d  d dS )Nz3A must be batches of square matrices, but they are r  r  r   r  r   r0   r  r0   r4   rc     s
   c                      s:   d d  d d  d d d d d 
S )NzIncompatible matrix sizes for z: each A matrix is r   r  z but each b matrix is r  r   r0   r  r  r   r0   r4   rc     s   )rT   rf   r|   r\   r   )r   r  r  r0   r  r4   linearSolveCheckInputs  s    


r  tallow_low_precision_dtypesc                    s^   | j  t|  p|   fdd |s-t tjtjtjtjfv  fdd d S d S )Nc                          d  S )Nz<: Expected a floating point or complex tensor as input. Got r0   r0   r\   r  r0   r4   rc         z(checkFloatingOrComplex.<locals>.<lambda>c                      r  )Nz*: Low precision dtypes not supported. Got r0   r0   r  r0   r4   rc     r  )	r\   rT   rf   r   r   rX   rZ   rW   rY   )r  r  r  r0   r  r4   r     s   r   arg_namec                    s"   t |  dk fdd d S )Nr   c                          d  dS )Nz: The input tensor z! must have at least 2 dimensions.r0   r0   r  r  r0   r4   rc     rd   zcheckIsMatrix.<locals>.<lambda>)rT   rf   r   )r  r  r  r0   r  r4   checkIsMatrix  s   
r  Br   c                    sZ   t   t tr ddkn	 ddk fdd d S )Nr  r   c                      sH    drdnd d  d d  d d d d d d	S )
Nz2: Incompatible shapes of A and B for the equation zAX = BzXA = Bz (r  r9   r   r   rs   r   r0   r  r  r  r   r0   r4   rc     s   
z#checkInputsSolver.<locals>.<lambda>)r   r  rT   rf   r   )r  r  r   r  r0   r  r4   checkInputsSolver  s   

*r  resultfn_nameresult_namec                    s&   t jjk fdd d S )Nc                	      s$     d d dj  dj  	S )Nz: Expected z5 and input tensors to be on the same device, but got z on z and input on r~  r0   r  r   r  r  r0   r4   rc     s   z!checkSameDevice.<locals>.<lambda>)rT   rf   r|   )r  r  r   r  r0   r  r4   checkSameDevice  s   
r  UPLOc                    s8      }tt dko|dkp|dk fdd d S )Nr/   ULc                      
   d  S )Nz1Expected UPLO argument to be 'L' or 'U', but got r0   r0   r  r0   r4   rc        
 zcheckUplo.<locals>.<lambda>)upperrT   rf   r   )r  UPLO_uppercaser0   r  r4   	checkUplo  s
   
r  eigenvalueseigenvectorsr  	compute_vc                 C   sp   t | d t| t| j}|r | |}||t|dd n| dg}|  | j|t| j	d}||fS )Nzlinalg.eighF	row_majorr   r   )
r   r  r   r   r   r   r   popr^   r\   )r  r  r  r   vecsvalsr0   r0   r4   meta__linalg_eigh  s   


r  c                 C   s@   t | d t| jr| jnt| j}| j| jd d |dS )Nzlinalg.eigvalsr   r   )r   rO   r   r\   r   r   r   )r   complex_dtyper0   r0   r4   meta__linalg_eigvals  s   


r  c                 C   s|   t | d t| jr| jnt| j}| j| jd d |d}| j| j|d}t| dk}|| jt	| j|d ||fS )Nz
linalg.eigr   r   r   r  )
r   rO   r   r\   r   r   r   r   r   r   )r   r  r   vectorsis_cudar0   r0   r4   meta_linalg_eig  s   


r  r  c                 C   s   | j jtjdddS )Nr   r  r   )mTr   rT   r   	transpose)r  r0   r0   r4   cloneBatchedColumnMajor     r  r  c                 C   s   t | S r=   )r  )r   r  r  r0   r0   r4   _cholesky_solve_helper  s   r  c                    sP   t jdkfdd t  jdk fdd t d\}}t|||S )Nr   c                         d j  dS )Nz-b should have at least 2 dimensions, but has  dimensions insteadr   r0   r   r0   r4   rc      r  z cholesky_solve.<locals>.<lambda>c                      r  )Nz-u should have at least 2 dimensions, but has r  r  r0   r  r0   r4   rc   $  r  cholesky_solve)rT   rf   r   !_linalg_broadcast_batch_dims_namer  )r   r  r  self_broadcastedA_broadcastedr0   r  r4   r    s   

r  c                 C   s.   |   dkrtj| tjdS t| d t| S )Nr   r   cholesky)r   rT   r   legacy_contiguous_formatr   r  r   r  r0   r0   r4   r  ,  s   
r  c                 C   s   t | d t| S )Ncholesky_inverse)r   r  r  r0   r0   r4   r  5  s   
r  check_errorsc                 C   sf   t | d t| d | j}t|}t|d}| |}||| | j|d|d  tjd}||fS )Nzlinalg.choleskyFr   r   r   )	r   r   r   r   r   r   r   rT   r)  )r  r  r  A_shaper   	L_stridesr  infosr0   r0   r4   linalg_cholesky_ex=  s   



r  tauc                    s  t jdkdd  t ddkdd  t ddkdd  t jj dkfd	d jdkr[jd d }jd d  t  |k fd
d t jjkfdd tdd t jjtjddjj	dS )Nr   c                   S   ri   )NzHtorch.linalg.householder_product: input must have at least 2 dimensions.r0   r0   r0   r0   r4   rc   V  rk   z,linalg_householder_product.<locals>.<lambda>r  r   c                   S   ri   )Nzbtorch.linalg.householder_product: input.shape[-2] must be greater than or equal to input.shape[-1]r0   r0   r0   r0   r4   rc   Z  rk   c                   S   ri   )Nz`torch.linalg.householder_product: input.shape[-1] must be greater than or equal to tau.shape[-1]r0   r0   r0   r0   r4   rc   ^  rk   r/   c                         dj  d j  S )Nzptorch.linalg.householder_product: Expected tau to have one dimension less than input, but got tau.ndim equal to  and input.ndim is equal to r  r0   r   r  r0   r4   rc   c  
   c                      r  )Nzltorch.linalg.householder_product: Expected batch dimensions of tau to be equal to input.shape[:-2], but got r0   r0   actual_batch_tau_shaper0   r4   rc   m     c                      r  )Nz,torch.linalg.householder_product: tau dtype z does not match input dtype r   r0   r  r0   r4   rc   u  s   
z torch.linalg.householder_productr  Fr  r   r   r\   r|   )
rT   rf   r   r   r   r\   r  empty_stridedr   r|   )r   r  expected_batch_tau_shaper0   )r  r   r  r4   linalg_householder_productO  sD   


r  c                 C   s^   t | d t| ddd | | j}|| jt| jdd | j| jd d tjd}||fS )Nzlinalg.inv_exF)r  r  r  r   r   r   r   r   r   r   rT   r)  )r  r  r  r  r0   r0   r4   linalg_inv_ex_meta  s   
r  LDpivotsinfo)	hermitianr  r  c                C   st   t | d t| d tj| jt| jdd| j| jd}| j| jd d tj	d}| j| jd d tj	d}|||fS )Nztorch.linalg.ldl_factor_exFr  r  r   r   r  )
r   r   rT   r  r   r   r\   r|   r   r   )r   r  r  r  r  r  r0   r0   r4   linalg_ldl_factor_ex_meta  s   


r  )r  c                   s   t d td t d t jdk fdd jd d }t|jkfdd ttj	fdd tj	 j	k fdd t
 \}}tj|t|d	d
 j	 jdS )Nztorch.linalg.ldl_solver   c                      r  )NzMtorch.linalg.ldl_solve: Expected B to have at least 2 dimensions, but it has r  r  r0   )r  r0   r4   rc        z'linalg_ldl_solve_meta.<locals>.<lambda>r   c                      r  )Nzjtorch.linalg.ldl_solve: Expected LD.shape[:-1] and pivots.shape to be the same, but got pivots with shape  insteadr   r0   r  r0   r4   rc     r  c                      r   )Nz<torch.linalg.ldl_solve: Expected pivots to be integers. Got r   r0   r  r0   r4   rc     r   c                      r  )Nz!torch.linalg.ldl_solve: LD dtype z does not match b dtype r   r0   )r  r  r0   r4   rc         Fr  r  )r   r   r  rT   rf   r   r   rO   is_integer_dtyper\   _linalg_broadcast_batch_dimsr  r   r|   )r  r  r  r  expected_pivots_shapeB_broadcast_sizerR   r0   )r  r  r  r4   linalg_ldl_solve_meta  s6   
	






r  Pr  )pivotr  c          	         s   t  jdk fdd t j}|d }|d }t||}||d< |r+ |}n dg}||d<  |}||d< ||d<  |}|||fS )Nr   c                      r  )Nz@linalg.lu: Expected tensor with 2 or more dimensions. Got size: r  r  r0   r  r0   r4   rc     r  z linalg_lu_meta.<locals>.<lambda>r  r   r   )rT   rf   r   r   r   r   r   )	r  r  sizesrB  r   kr  r  r  r0   r  r4   linalg_lu_meta  s$   





r  LU)r  r  c          	         s   t  jdk fdd t j}|d }|d }t j|t|dd j jd}|	  t
|||d<  j|t jd	}|	   j|t jd	}|||fS )
Nr   c                      r  )NzFtorch.lu_factor: Expected tensor with 2 or more dimensions. Got size: r  r  r0   r  r0   r4   rc     r  z*linalg_lu_factor_ex_meta.<locals>.<lambda>r  r   Fr  r  r   )rT   rf   r   r   r   r  r   r\   r|   r  r   r   r   )	r  r  r  r  rB  r   r  r  r  r0   r  r4   linalg_lu_factor_ex_meta  s&   



r  )r   adjointr  c                   s   t d tj jk fdd tjtjkdd  td t |d tddkdd  tjd d jkfdd t	 \}}tj
|t|| d	 j jd
}| dkru|su| ru| }|S )Nztorch.linalg.lu_solvec                      r  )NzPlinalg.lu_solve: Expected LU and B to have the same dtype, but found LU of type  and B of type r  r   r0   )r  r  r0   r4   rc      r  z&linalg_lu_solve_meta.<locals>.<lambda>c                   S   ri   )NzElinalg.lu_solve: pivots should be a Tensor of scalar type torch.int32r0   r0   r0   r0   r4   rc   '  rk   zlinalg.lu_solver   c                   S   ri   )NzYlinalg.lu_solve: Number of pivots per batch should be same as the dimension of the matrixr0   r0   r0   r0   r4   rc   /  rk   c                      r  )Nzclinalg.lu_solve: Expected LU.shape[:-1] and pivots.shape to be the same, but got pivots with shape r  r  r0   r  r0   r4   rc   5  r  r  r  r   )r   rT   rf   r\   r   r   r  r   r   r  r  r   r|   r   r   conj)r  r  r  r   r  r  rR   r  r0   )r  r  r  r4   linalg_lu_solve_meta  s<   




r  unpack_dataunpack_pivotsc                    s   t  jdk fdd |rt |jt jkdd  t j}|d }|d }t||}||d< |r9 |}n dg}|rX||d<  |}	||d< ||d<  |}
n dg}	 dg}
||	|
fS )Nr   c                      r  )NzFtorch.lu_unpack: Expected tensor with 2 or more dimensions. Got size: r  r  r0   r  r0   r4   rc   U  r  z lu_unpack_meta.<locals>.<lambda>c                   S   ri   )Nztorch.lu_unpack: LU_pivots is expected to be a contiguous tensor of torch.int32 dtype.
Note: this function is intended to be used with the output produced by torch.linalg.lu_factorr0   r0   r0   r0   r4   rc   Z     r  r   r   )	rT   rf   r   r\   r)  r   r   r   r   )r  r  r  r  r  rB  r   r  r  r  r  r0   r  r4   lu_unpack_metaK  s4   





r  modec                    sd    dkrd}d}||fS  dkrd}d}||fS  dkr$d}d}||fS t d fdd ||fS )NreducedTcompleteFrc                         d  dS )Nzqr received unrecognized mode 'z=' but expected one of 'reduced' (default), 'r', or 'complete'r0   r0   r  r0   r4   rc        z _parse_qr_mode.<locals>.<lambda>rT   rf   )r  	compute_qr  r0   r  r4   _parse_qr_modeu  s"   	
r  QRr  c                 C   s   t | d t| d t|\}}| jd }| jd }t||}|r>t| j}|r*|n||d< | |}||t|dd n| dg}t| j}	|sM|sO|n||	d< | |	}
|
|	t|	dd ||
fS )Nz	linalg.qrr  r   Fr  r   )	r  r   r  r   r   r   r   r   r   )r  r  r  reduced_moderB  r   r  Q_shaper  R_shaper  r0   r0   r4   linalg_qr_meta  s"   








r  sign	logabsdetc                 C   s   t | d t| dd | j}| |d d }| j|d d t| jd}tj|t|d| j| j	d}| j|d d tj
d}||||fS )Nzlinalg.slogdetFr  r   r  r   )r   r   r   r   r^   r\   rT   r  r   r|   r)  )r  r   r  r  r  r  r0   r0   r4   _linalg_slogdet  s   
r  full_matrices
compute_uvdriverc                 C   s   t | d t| d t| jd d }| jd }| jd }t||}|r]|||r*|n|g }| |}	|	|t|dd ||rB|n||g }
| |
}t| dk}||
t|
|d n| dg}	| dg}| j||g t	| j
d}|	||fS )	Nz
linalg.svdr  r   Fr  r   r   r   )r  r   r   r   r   r   r   r   r   r^   r\   )r  r  r  r  r   rB  r   r  U_shaper  V_shapeVr  Sr0   r0   r4   _linalg_svd_meta  s$   







r!  arg1arg2c                 C   sn   | j d d }|j d d }t||}t|}|| d| dg7 }t|}||d|dg7 }||fS )Nr  r   )r   r"   r   r   )r"  r#  arg1_batch_sizesarg2_batch_sizesexpand_batch_portionarg1_expand_sizearg2_expand_sizer0   r0   r4   r    s   
r  c                 C   sV   |rt | || t| |\}}|| jkr| n| |}||jkr"|n||}||fS r=   )r  r  r   expand)r"  r#  r  r'  r(  arg1_broadcastedarg2_broadcastedr0   r0   r4   r    s   r  r   c                 C   s6   | j d d }|jdkp| jd |jko|j |k}|S )Nr   r/   )r   r   )r   r   expected_batched_rhs_shapevector_caser0   r0   r4   linalg_solve_is_vector_rhs  s
   
r.  )r   r  r  r  r  r  c                   sh  t  d t jjk fdd t }|r dn}	t |	|d t|	 \}
}t|p6| dd  |rC|
d d n|
}tj|t	|| jj
d} j}tj|t	|d j j
d} j|d d tjd} j|d d	 tjd}||||f}||||f}td
d |D rt||D ]\}}t||j ||j|  t||dd q|S )Nzlinalg.solvec                         d j  dj  dS )NzKlinalg.solve: Expected A and B to have the same dtype, but found A of type r  r  r   r0   r  r  r0   r4   rc     r  z"_linalg_solve_ex.<locals>.<lambda>r   c                   S   ri   )Nzlinalg.solve: Vector broadcasting of the left hand side is not supported for left=False. In this case linalg.solve is equivalent to B / A.squeeze(-1)r0   r0   r0   r0   r4   rc   '  r  r  Fr   r  c                 s   s    | ]}|d uV  qd S r=   r0   rI   r0   r0   r4   ro   >      z#_linalg_solve_ex.<locals>.<genexpr>)	copy_fromcopy_toexact_dtype)r   rT   rf   r\   r.  	unsqueezer  r  r  r   r|   r   r   r)  allzipr   r   r   r    )r  r  r   r  r  r  r  r  r-  B_B_broad_shaperR   result_shaperesult_r   LU_pivots_info_r   resr
  or0   r0  r4   _linalg_solve_ex  sJ   



rA  )r   unitriangularr   rB  r   c          	      C   s   |d u r
|  dg}t|tsJ t| ||d t|| d \}}|dd o+| }|r6t||j	}|S t
||j	rL||ddj	 |dd |S )Nr   zlinalg.solve_triangularr  r   )r   rl   r   r  r  r  r@  is_conjr   r   r   r   
transpose_)	r  r  r  r   rB  r   r8  A_avoid_copy_Ar0   r0   r4   linalg_solve_triangular_metaH  s   
rG  XM)r4  r  c           	         s   t jdkfdd t  jdk fdd t d  jt jkrOt \}}t j|t|ddj	j
d}t j|t|dd j	 j
d}||fS  jt jks[ jt jkrjt }d	g}||fS t dd
d  ||fS )Nr   c                      r  )NzMtorch.triangular_solve: Expected b to have at least 2 dimensions, but it has r  r  r0   r   r0   r4   rc   m  r  z'triangular_solve_meta.<locals>.<lambda>c                      r  )NzMtorch.triangular_solve: Expected A to have at least 2 dimensions, but it has r  r  r0   r  r0   r4   rc   t  r  triangular_solveFr  r  r   c                   S   ri   )Nz+triangular_solve: Got an unexpected layout.r0   r0   r0   r0   r4   rc     rk   )rT   rf   r   r  r{   stridedr  r  r   r\   r|   
sparse_csr
sparse_bsrr   r   )	r   r  r  r  rB  self_broadcast_sizeA_broadcast_sizesolutioncloned_coefficientr0   r  r4   triangular_solve_metab  s<   	




rR  c                 C   sp   t | d t| d | | jd d }| | j}|| jt| jdd | j| jd d tjd}|||fS )Nz
linalg.detr  Fr  r   r   r  )r  detr  r  r0   r0   r4   _linalg_det_meta  s   


rT  c                    s  t jdkdd  t jdkdd  |rdndt j jd kfdd t j jd kfdd t jd jd kd	d  t jj d
kfdd t jjkfdd jdkrjd d }jd d t |kfdd jd d  t  |k fdd t jjkfdd t jjkfdd tdd tdd t jjtjddjjdS )Nr   c                   S   ri   )Nz3torch.ormqr: input must have at least 2 dimensions.r0   r0   r0   r0   r4   rc     rk   zormqr.<locals>.<lambda>c                   S   ri   )Nz3torch.ormqr: other must have at least 2 dimensions.r0   r0   r0   r0   r4   rc     rk   r  r   c                      r  )Ntorch.ormqr: other.shape[z0] must be greater than or equal to tau.shape[-1]r0   r0   left_size_conditionr0   r4   rc     r   c                      r  )NrU  z"] must be equal to input.shape[-2]r0   r0   rV  r0   r4   rc     r   c                   S   ri   )NzHtorch.ormqr: tau.shape[-1] must be less than or equal to input.shape[-1]r0   r0   r0   r0   r4   rc     rk   r/   c                      r  )Nz[torch.ormqr: Expected tau to have one dimension less than input, but got tau.ndim equal to r  r  r0   r  r0   r4   rc     r  c                      r  )Nzhtorch.ormqr: Expected other to have the same number of dimensions as input, but got other.ndim equal to r  r  r0   r   r   r0   r4   rc     r  c                      r  )NzWtorch.ormqr: Expected batch dimensions of tau to be equal to input.shape[:-2], but got r0   r0   r  r0   r4   rc     r  c                      r  )NzYtorch.ormqr: Expected batch dimensions of other to be equal to input.shape[:-2], but got r0   r0   )actual_batch_other_shaper0   r4   rc     r  c                         d j  dj  S )NzPtorch.ormqr: Expected input and tau to have the same dtype, but input has dtype z and tau has dtype r   r0   r  r0   r4   rc     r  c                      rZ  )NzRtorch.ormqr: Expected input and other to have the same dtype, but input has dtype z and other has dtype r   r0   rX  r0   r4   rc     r  ztorch.ormqrr  r   Fr  r  )	rT   rf   r   r   r\   r  r  r   r|   )r   r  r   r   r  expected_batch_shaper0   )rY  r  r   rW  r   r  r4   ormqr  sn   	







r\  c                   s   t td  k fdd j}| d k}|}| }|r3td|D ]}|o0|dk}q&nt|D ]}|oA|dk}q7t |pH| fdd d S )Nr   c                      s   dd   dt  S )Nzpadding size is expected to be r   z, but got: r   r0   )r   paddingr0   r4   rc          z,_padding_check_valid_input.<locals>.<lambda>r/   r   c                      s    d d  d d  dj  S )N	Expected r/   zD or r   zcD (batch mode) tensor with possibly 0 batch size and other non-zero dimensions for input, but got: r  r0   )r   r   r0   r4   rc     s   )rT   rf   r   r   r   r   )r   r^  r   	input_dimis_batch_modevalid_batch_modevalid_non_batch_moder   r0   )r   r   r^  r4   _padding_check_valid_input  s$   re  c                   s   d}d d}j dkrd} d7  |d7 }t|dd |\|}   |rHtk o>k  fdd tdkfdd j dkra|fS ||fS )	Nr   r/   r-   r   c                         d d d  dj  S NzcArgument #4: Padding size should be less than the corresponding input dimension, but got: padding (rr   ) at dimension 
 of input r  r0   dim_wr   pad_lpad_rr0   r4   rc   1     z_pad1d_common.<locals>.<lambda>c                      rp   )Nz
input (W: z%) is too small. Calculated output W: r0   r0   )input_woutput_wr0   r4   rc   9  rd   r   )r   r   re  rT   rf   r   )r   r^  is_reflection	dim_planenbatchnplaner0   )rk  r   ro  rp  rl  rm  r4   _pad1d_common  s0   




ru  c                 C      t | |ddS NTrq  )ru  r   r^  r0   r0   r4   meta_reflection_pad1dB     rz  c                    *   t  jt jk fdd t |ddS )Nc                         d j   dS )Nz)"replication_pad1d" not implemented for ''r\   __str__r0   r   r0   r4   rc   M      z(meta_replication_pad1d.<locals>.<lambda>Frx  )rT   rf   r\   boolru  ry  r0   r  r4   meta_replication_pad1dH  
   

r  c                   s   d |st t|dkdd  jdkr d7  |\ }|  |r=t |k o3|k  fdd t  k fdd jS )Nr/   r   c                   S   ri   )Nz padding size is expected to be 2r0   r0   r0   r0   r4   rc   U  rk   z(_pad1d_backward_common.<locals>.<lambda>r-   c                      rf  rg  r  r0   rj  r0   r4   rc   b  rn  c                         d d   S Nz(grad_output width unexpected. Expected: , Got: r   r0   rk  grad_outputrp  r0   r4   rc   j  rN   rT   rf   r   r   r   r   r   )r  r   r^  rq  ro  r0   )rk  r  r   rp  rl  rm  r4   _pad1d_backward_commonR  s$   

r  
grad_inputc                 C      t | ||ddS rw  r  r  r   r^  r0   r0   r4   meta_reflection_pad1d_backwardp     r  c                 C   r  )NFrx  r  r  r0   r0   r4   meta_replication_pad1d_backwardv  r  r  c                   s2  dd d}d}t |dd j}|dkr'd}d7  d7  |d7 }|\	
|} 
   	 |rptk oS	k 	fdd t
k ofk  
fdd tdkpydkfd	d jd
kr|fS ||fS )Nr   r/   r   r      c                      rf  rg  r  r0   rj  r0   r4   rc     rn  z_pad2d_common.<locals>.<lambda>c                         d d d  dj  S NzcArgument #6: Padding size should be less than the corresponding input dimension, but got: padding (rr   rh  ri  r  r0   dim_hr   pad_bpad_tr0   r4   rc     rn  c                      s   d  d d d S )Nz
input (H:  W: z%) is too small. Calculated output H: r0   r0   )input_hro  output_hrp  r0   r4   rc     s
   r-   re  r   r   rT   rf   r   )r   r^  rq  
dim_slicesrs  r   rt  r0   )r  rk  r   r  ro  r  rp  r  rl  rm  r  r4   _pad2d_common|  sB   




r  c                 C   rv  rw  )r  ry  r0   r0   r4   meta_reflection_pad2d  r{  r  c                    r|  )Nc                      r}  )Nz)"replication_pad2d" not implemented for 'r~  r  r0   r  r0   r4   rc     r  z(meta_replication_pad2d.<locals>.<lambda>Frx  )rT   rf   r\   r  r  ry  r0   r  r4   meta_replication_pad2d  r  r  c                 C   s   t |}t |}||fS r=   rT   r   )grad_wsaved_vsaved_gsaved_normsr   grad_vgrad_gr0   r0   r4   meta_weight_norm_backward  s   

r  c                    s   dd d}|j }| dkrd7  d7  |d7 }|\}}}}|  }	| }
|	| | |
| | tkfdd t k fdd ||j S )Nr   r/   r   r  c                      r  r  r   r0   r  r0   r4   rc     rN   z%meta_pad2d_backward.<locals>.<lambda>c                      r  Nz)grad_output height unexpected. Expected: r  r   r0   r  r  r  r0   r4   rc     rN   )r   r   rT   rf   r   r   )r  r   r^  rr  rb   rl  rm  r  r  r  ro  r0   )r  rk  r  r  rp  r4   meta_pad2d_backward  s,   
r  c             	      s  ddd d}t |dd jdk}|r+d}d7 d7  d7  |d7 }|\
|}    
   	|rtk odk fdd tk ow
k 
fd	d tk ok  fd
d t	dkpdkpdk	fdd |r||	fS |	fS )Nr-   r   r/   r   r      c                      rf  rg  r  r0   rj  r0   r4   rc     rn  z_pad3d_common.<locals>.<lambda>c                      r  r  r  r0   r  r0   r4   rc     rn  c                      r  )NzcArgument #8: Padding size should be less than the corresponding input dimension, but got: padding (rr   rh  ri  r  r0   )dim_dr   pad_bkpad_fr0   r4   rc     rn  c                      s(   d  d d d d d S )Nz
input (D:  H: r  z%) is too small. Calculated output D: r0   r0   )input_dr  ro  output_dr  rp  r0   r4   rc   #  s   r  )r   r^  rq  rr  
batch_moders  rt  r0   )r  r  rk  r   r  r  ro  r  r  rp  r  r  r  rl  rm  r  r4   _pad3d_common  sP   





r  c                 C   rv  rw  )r  ry  r0   r0   r4   meta_reflection_pad3d/  r{  r  c                    r|  )Nc                      r}  )Nz)"replication_pad3d" not implemented for 'r~  r  r0   r  r0   r4   rc   :  r  z(meta_replication_pad3d.<locals>.<lambda>Frx  )rT   rf   r\   r  r  ry  r0   r  r4   meta_replication_pad3d5  r  r  c                    s(  t t|dkdd  |jdksJ j|jksJ ddd |jdkr2d7 d7  d7  |\}}}}}}| }	|}
|}|	| | |
| | || | t kfdd t kfd	d t  k fd
d ||jS )N   c                   S   ri   )Nz padding size is expected to be 6r0   r0   r0   r0   r4   rc   I  rk   z%meta_pad3d_backward.<locals>.<lambda>r-   r   r/   r  c                      r  r  r   r0   r  r0   r4   rc   a  rN   c                      r  r  r   r0   r  r0   r4   rc   e  rN   c                      r  )Nz(grad_output depth unexpected. Expected: r  r   r0   )r  r  r  r0   r4   rc   i  rN   r  )r  r   r^  rl  rm  r  r  r  r  r  r  ro  r0   )r  r  rk  r  r  r  rp  r4   meta_pad3d_backward?  s<   




r  r   pc                 C   s^   t |  dd  | d}|dkr| dgjt jdS | ||d  d fjt jdS )Nc                   S   ri   )Nz(_pdist_forward requires contiguous inputr0   r0   r0   r0   r4   rc   s  rk   z%meta__pdist_forward.<locals>.<lambda>r   r/   r   r   )rT   rf   r@  r   r   r  r  )r   r  r   r0   r0   r4   meta__pdist_forwardo  s   
r  gradpdistc                 C   s8   t | dd  t | dd  t j|t jdS )Nc                   S   ri   )Nz._pdist_backward requires self to be contiguousr0   r0   r0   r0   r4   rc     rk   z&meta__pdist_backward.<locals>.<lambda>c                   S   ri   )Nz/_pdist_backward requires pdist to be contiguousr0   r0   r0   r0   r4   rc     rk   r   )rT   rf   r@  r   r  )r  r   r  r  r0   r0   r4   meta__pdist_backward~  s   r  )r4  r3  c                   s  ddl m}m}  d} d}d}	|t|j|||	fr-|||	ft 	 dkdd  t	 dkdd  t
jsatj j  koVjkn   fd	d  j}
j|
d |
d td ko|d kfd
d  S )Nr   )guard_or_truesym_eqr/   r   r-   c                   S   ri   Nzbatch1 must be a 3D tensorr0   r0   r0   r0   r4   rc     rk   zmeta_baddbmm.<locals>.<lambda>c                   S   ri   Nzbatch2 must be a 3D tensorr0   r0   r0   r0   r4   rc     rk   c                      s   dj  d j  dj  S )Nz+Input dtypes must be the same, got: input: z
, batch1: z
, batch2: r   r0   )batch1batch2r   r0   r4   rc         c                	      &   d d d d  d d  d	S Nz@Expected size for first two dimensions of batch2 tensor to be: [rr   z] but got: [r   r/   ].r0   r0   batch2_sizesbscontraction_sizer0   r4   rc     s   )r  r  r  r   rT   sym_notr   r)  rf   r   
exp_config&skip_dtype_check_in_meta_registrationsr\   r   )r   r  r  r4  r3  r  r  dim1dim2dim3batch1_sizesr0   )r  r  r  r  r  r   r4   meta_baddbmm  s,   


r  c                C   rH  r   rI  r   r   r0   r0   r4   meta_bernoulli  s   r        ?c                 C   rL  r=   r0   r   r  r   r0   r0   r4   meta_bernoulli_  rx  r  c                 C   rH  r   rI  r  r0   r0   r4   meta_bernoulli_p  r  r  c                 C   
   t | S r=   r  r  r0   r0   r4   meta_poisson  ra  r  c                 C   s6   t |
|  k dd  t j| t jd}t | |fS )Nc                   S   ri   )NzJError in fused_moving_avg_obs_fake_quant_cpu: ch_axis must be < self.dim()r0   r0   r0   r0   r4   rc     rk   z6meta__fused_moving_avg_obs_fq_helper.<locals>.<lambda>r   )rT   rf   r   r   r  )r   observer_onfake_quant_onrunning_minrunning_maxscale
zero_pointaveraging_const	quant_min	quant_maxch_axisper_row_fake_quantsymmetric_quantmaskr0   r0   r4   $meta__fused_moving_avg_obs_fq_helper  s   
r  c                    s   t |  dkdd  t | dkdd  | j\ |j\t  k fdd |d urNt || jkpI|t jkoI| jt jt jfv dd  |d u rU| jn|}| jf|dS )Nr   c                   S   ri   )Nza must be 2Dr0   r0   r0   r0   r4   rc     rk   zmeta_mm.<locals>.<lambda>c                   S   ri   )Nzb must be 2Dr0   r0   r0   r0   r4   rc     rk   c                	      s   d d  d d d	S )Nz/a and b must have same reduction dim, but got [rr   z] X [r  r0   r0   M1M2Nr  r0   r4   rc     s    c                   S   ri   )NzFout_dtype must be the same as input dtype or fp32 for fp16/bf16 inputsr0   r0   r0   r0   r4   rc     rk   r   )	rT   rf   r   r   r\   r<  r=  r>  r   )r2   r3   r&  rL   r0   r  r4   meta_mm  s"   



r  c                    s0   |rt  fddtjD S tj S )Nc                 3   s&    | ]}| vrj | nd V  qdS )r/   Nr  rJ   r   dimsr   r0   r4   ro     s   $ z+_compute_reduction_shape.<locals>.<genexpr>)re   r   r   rO   compute_reduction_output_shaper   )r   r  rh  r0   r  r4   rf    s   rf  strc                 C   sD   t | tjjr| jjS t| dr t| jdr | jjdkr | jjS dS )Nr|   rt   ry   r   )rl   rT   _subclasses
FakeTensorfake_devicert   hasattrr|   )r  r0   r0   r4   r     s   
r   input_tensorr   r^  dilationis_transposedgroupsoutput_paddingc                    sL  dt dt dt dt dt dt fdd}dt dt dt dt dt d	t dt fd
d}	|jdd  }
| jdd   |r<||jd  }n|jd }|jd | | jd krQtd| jd |gt|tre|gt  }nt|dkrt|d gt  }t|tr|gt  }nt|dkr|d gt  }t|tr|gt  }nt|dkr|d gt  }d }|rt|tr|gt  }nt|dkr|d gt  }n|}tt D ]2}|r|	 | || || |
| || ||  qՈ| | || || |
| ||  qddlm	} t
|dd dd  D   fdd S )Nlnr  r   r  r{  r<   c                 S   s$   | d|  ||d   d | d S )a  
        Formula to apply to calculate the length of some dimension of the output

        See: https://pytorch.org/docs/stable/generated/torch.nn.Conv2d.html

        Args:
            ln: length of the dimension
            p: padding in that dim
            d: dilation in that dim
            k: kernel size in that dim
            s: stride in that dim
        Returns:
            The output length
        r   r/   r0   )r  r  r   r  r{  r0   r0   r4   _formula	  s   $z+calc_conv_nd_return_shape.<locals>._formular?   c                 S   s(   | d | d|  ||d   | d S )a  
        Formula to apply to calculate the length of some dimension of the output
        if transposed convolution is used.
        See: https://pytorch.org/docs/stable/generated/torch.nn.ConvTranspose2d.html

        Args:
            ln: length of the dimension
            p: padding in that dim
            d: dilation in that dim
            k: kernel size in that dim
            s: stride in that dim
            op: output padding in that dim

        Returns:
            The output length
        r/   r   r0   )r  r  r   r  r{  r?   r0   r0   r4   _formula_transposed$	  s   (z6calc_conv_nd_return_shape.<locals>._formula_transposedr   r/   r   zInvalid channel dimensions)sym_orc                 S   s   g | ]}|d kqS r   r0   rI   r0   r0   r4   rM   u	  r  z-calc_conv_nd_return_shape.<locals>.<listcomp>c                      s   dt   ddd   dS )NzGiven input size per channel: z&. Calculated output size per channel: r   z. Output size is too small)r   r0   r  	ret_shaper0   r4   rc   v	  s    
z+calc_conv_nd_return_shape.<locals>.<lambda>)r   r   r  rl   r   r   r   r   r  r  rT   rf   )r  r"  r   r^  r  r  r  r  r   r  kernel_sizeout_channelsoutput_padding_listr   r  r0   r  r4   calc_conv_nd_return_shape		  sd   "
&




"r  c                 C      t j| t jkS r=   rT   _prims_commonr   channels_lasttenr0   r0   r4   is_channels_last~	     r  running_meanrunning_vartrainingexponential_average_factorepsilonc                    s    j }|d ur
|j n|j }	|d ur|j n|j }
 fdd} |j| d}|r4 |	} |
}n
 d} d}|||fS )Nc                      s(   t  rtjS  jtjdrtjS tjS r   )r  rT   r  r@  r   r0   r  r0   r4   pick_memory_format	  s
   z2meta_miopen_batch_norm.<locals>.pick_memory_formatr   r   )r   r   r  )r  r"  r$  r  r  r  r  r  r   save_mean_shapesave_var_shaper  r   	save_meansave_varr0   r  r4   meta_miopen_batch_norm	  s   



r  c	              	   C   sJ   t | |||||||r|nd }	d}
d}| |
dkrd|	|< | |	}|S Nr/   r   )r  r   r   )r  r"  r$  r   r^  r  r  r  r  	shape_outinput_channels_dimoutput_channels_dimr   r0   r0   r4   	meta_conv	  s    

r!  mkldnnc
              	   C   sH   t | ||||d|g }
| |
}tj}|  dkrtj}|j|d}|S )NFr  r   )r  r   rT   r  r   channels_last_3dr  )r  r"  r$  r^  r   r  r  attrscalars	algorithmr  r   out_memory_formatr0   r0   r4   meta_mkldnn_convolution_default	  s   
r(  c                 C   s$   |  g | jd d |jd R S Nr   r   r   r   )r  r"  r$  r$  r%  r&  r0   r0   r4   meta_linear_pointwise_default	  s   $r+  mklc                 C   s$   |  g | jd d |jd R S r)  r*  )r  packed_weightorig_weightr$  r   r0   r0   r4   meta_mkl_linear	  s   r/  onednnc              	   C   s   t | ||||	d|
d }|d u r| j}|tjtjtjtjtjfv s"J | j||d}t	|dv s3J dtj
tjtjdt	| }|j|d}|S )NFr   )r-   r  r  z-Expect output to be 3d/4d/5d for conv1d/2d/3dr   )r  r\   rT   r<  r>  uint8r(  r?  r   r   r   r  r#  r  )r9   x_scalex_zpww_scalew_zpr$  r   r^  r  r  output_scaleoutput_zero_pointoutput_dtyper$  r%  r&  r  r   formatr0   r0   r4   meta_qconv_pointwise	  s>   

r;  c                 C   s   |dksJ |S )Nsumr0   )r9   r2  r3  r4  r5  r6  accumr$  r   r^  r  r  r7  r8  r9  accum_scaleaccum_zero_pointbinary_op_namer3  unary_op_nameunary_op_argsunary_op_algorithmr0   r0   r4   meta_qconv2d_pointwise_binary.
  s   rD  c                 C   sJ   t | j}|jd |d< |	tjtjtjtjtjfv sJ | j||	d}|S )Nr/   r   r   )	r   r   rT   r<  r>  r(  r1  r?  r   )r9   r2  r3  r4  r5  r6  r$  r7  r8  r9  post_op_namepost_op_argspost_op_algorithmrC  r   r0   r0   r4   meta_qlinear_pointwiseK
  s   

rH  c                 C   sV   |dkr|S t | j}|jd |d< |
tjtjtjtjtjfv s"J | j||
d}|S )Nr<  r/   r   r   )	r   r   rT   r<  r>  r1  r(  r?  r   )r9   r2  r3  r4  r5  r6  x_2r$  r7  r8  r9  x2_scalex2_zpr@  r3  rA  rB  rC  rC  r   r0   r0   r4   meta_qlinear_pointwise_binaryi
  s   

rL  c                 C   s&   t | j}|jd |d< | |}|S )Nr/   r   )r   r   r   )r9   r4  r$  rC  r   r0   r0   r4   meta_linear_dynamic_fp16
  s   

rM  	quantizedr0   r   r/   c                 C   sr   t | |||||\}}}|  dkr| dnd}	tj}
|  dkr(|||g}n|	|||g}tj|| j| j|
dS Nr  r/   r-   rW  )#max_pool2d_checks_and_compute_shaper   r   rT   r  r   r\   r|   r   r  r   r^  r  	ceil_modenInputPlaneoutputHeightoutputWidthrs  r   r   r0   r0   r4   meta_quantized_max_pool2d
  s$   rX  c                    s   t  dkfdd t  dkfdd t jt jt jt jfv fdd t jt jkfdd t  jt jk fdd t jjkfdd j	
d	
d	jd
S )Nr   c                         d    dS )Nzx must be a 2D tensor, got Dr   r0   r   r0   r4   rc   
  rd   z/meta_int4mm_packed_weight_cpu.<locals>.<lambda>c                      rY  )Nzw must be a 2D tensor, got rZ  r   r0   r4  r0   r4   rc   
  rd   c                      r   Nz#expected x to be f32/f16/bf16, got r   r0   r   r0   r4   rc   
  r   c                      r   Nzexpected w to be uint8, got r   r0   r[  r0   r4   rc   
  r   c                      r   )Nz q_group_size must be int64, got r   r0   )q_group_sizer0   r4   rc   
  r   c                      r   )Nz5q_scale_and_zeros must have the same dtype as x, got r   r0   )q_scale_and_zerosr0   r4   rc   
  r   r   r   )rT   rf   r   r\   r<  r=  r>  r1  r   r   r   r9   r4  r^  r_  r0   )r^  r_  r4  r9   r4   meta_int4mm_packed_weight_cpu
  s$   




ra  c                    s4   t   koj k fdd d S )Nc                      s8   d  d d dd   d dj   S )NzExpected a tensor of dimension z and tensor.size[z] == rr   zbut got : dimension z] = r   r   r0   r   dim_sizer   r  r0   r4   rc   
  s    z check_dim_size.<locals>.<lambda>)rT   rf   r   r   )r  r   rd  r   r0   rc  r4   check_dim_size
  s   re  c                    s  dd }|d|\}}	t t|dv dd  t  jt jt jt jt jfv fdd t|dkr8||	}
}nt|d	krH|d |d }
}n|d
|\}
}|d|\}}t |d u p_|dkdd    dkro 	dnd	} 	d} 	d} 	d}t
||||
d	|}t
||	||d	|}t }t ||	|
|||d	d	||||||   dkr|||g}n||||g}t j| j j|dS )Nc                    D   t t|dv  fdd |d }t|dkr|n|d }||fS )Nr/   r   c                      r  )Nzavg_pool2d: 4 must either be a single int, or a tuple of two intsr0   r0   r  r0   r4   rc   
  r   z1meta_avg_pool2d.<locals>.unpack.<locals>.<lambda>r   r/   rT   rf   r   r  rv  HWr0   ri  r4   unpack
     

zmeta_avg_pool2d.<locals>.unpackr  r   r/   r   c                   S   ri   NzOavg_pool2d: stride must either be omitted, a single int, or a tuple of two intsr0   r0   r0   r0   r4   rc   
  rk   z!meta_avg_pool2d.<locals>.<lambda>c                      r}  )Nz""avg_pool2d" not implemented for 'r~  r  r0   r  r0   r4   rc   
  r  r   r/   r   r^  c                   S   ri   Nzdivisor must be not zeror0   r0   r0   r0   r4   rc     rk   r  rQ  r  r   r-   rW  )rT   rf   r   r\   r1  uint16uint32uint64r   r   pooling_output_shaperO   r   pool2d_shape_checkr   r|   )r   r  r   r^  rT  count_include_paddivisor_overridern  kHkWdHdWpadHpadWrs  rU  inputHeight
inputWidthrV  rW  r   r   r0   r  r4   meta_avg_pool2d
  sj   
	





r  c                 C   sj   t | ||||||dd|	|
|||| |  }|	}t|||d | t|||d | t|||d | d S )Nr/   r-   r   )rx  r   re  )r   
gradOutputrs  r{  r|  r}  r~  r  r  rU  r  r  rV  rW  
mem_formatr   nOutputPlaner0   r0   r4   avg_pool2d_backward_shape_check-  s,   r  c                 C   s  t t|dkpt|dkdd  |d }t|dkr|n|d }	t t|dkp5t|dkp5t|dkdd  t|dkrB|n|d }
t|dkrN|	nt|dkrV|
n|d }t t|dkpgt|dkdd  |d }t|dkrx|n|d }t |d u p|dkdd  |j}| d	kr|d
 nd}|d }|d }|d }t||||
d|}t||	||d|}t|}t|| |||	|
||||||||| t j	||j
|j|dS )Nr/   r   c                   S   ri   )NzKavg_pool2d: kernel_size must either be a single int, or a tuple of two intsr0   r0   r0   r0   r4   rc   g  rk   z*meta_avg_pool2d_backward.<locals>.<lambda>r   c                   S   ri   rq  r0   r0   r0   r0   r4   rc   m  rk   c                   S   ri   )NzGavg_pool2d: padding must either be a single int, or a tuple of two intsr0   r0   r0   r0   r4   rc   s  rk   c                   S   ri   rr  r0   r0   r0   r0   r4   rc   z  rk   r  rQ  rs  r  r   rW  )rT   rf   r   r   r   rw  rO   r   r  r   r\   r|   )gradOutput_r   r  r   r^  rT  ry  rz  r{  r|  r}  r~  r  r  
input_sizers  rU  r  r  rV  rW  r  r0   r0   r4   meta_avg_pool2d_backwardY  sj   "(
r  c                    s6  t t|dv dd  |d }t|dkr|n|d }t|dkr$|n|d }	t | p2t|dv dd  t  jt jt jt jt jfv fdd |sP|n|d }
|sX|nt|dkr`|
n|d }|sh|	nt|dkrp|
n|d }t t|dv d	d  |d }t|dkr|n|d }t|dkr|n|d }t  jd
v dd  t | p|dkdd   	d} 	d} 	d} 	d} 	d}t
||||
d|}t
||||d|}t
||	||d|}t ||||	|
|||||ddd||||||ddd  jdkr ||||fS  |||||fS )Nr/   r-   c                   S   ri   NzFavg_pool3d: kernel_size must be a single int, or a tuple of three intsr0   r0   r0   r0   r4   rc     rk   z!meta_avg_pool3d.<locals>.<lambda>r   r/   r   c                   S   ri   NzJavg_pool3d: stride must be omitted, a single int, or a tuple of three intsr0   r0   r0   r0   r4   rc     rk   c                      r}  )Nz""avg_pool3d" not implemented for 'r~  r  r0   r  r0   r4   rc     r  c                   S   ri   NzBavg_pool3d: padding must be a single int, or a tuple of three intsr0   r0   r0   r0   r4   rc     rk   r  r  c                   S   ri   Nz9non-empty 4D or 5D (batch mode) tensor expected for inputr0   r0   r0   r0   r4   rc     rk   c                   S   ri   rr  r0   r0   r0   r0   r4   rc     rk   rQ  rs  r  r   zavg_pool3d()T)check_input_sizer  )rT   rf   r   r\   r1  rt  ru  rv  r   r   rw  pool3d_shape_checkr   )r   r  r   r^  rT  ry  rz  kTr{  r|  dTr}  r~  padTr  r  rs  nslicesitimeiheightiwidthotimeoheightowidthr0   r  r4   meta_avg_pool3d  s   

  





r  c                 C   s  t t|dv dd  |d }t|dkr|n|d }	t|dkr$|n|d }
t | p2t|dv dd  |s;|n|d }|sC|	nt|dkrK|n|d }|sS|
nt|dkr[|n|d }t t|dv dd  |d }t|dkrw|n|d }t|dkr|n|d }t |jd	v d
d  t | p|dkdd  |d}|d}|d}|d}t||||d|}t||	||d|}t||
||d|}t|| |||	|
||||||||||||d ||jS )Nr  c                   S   ri   r  r0   r0   r0   r0   r4   rc   
  rk   z*meta_avg_pool3d_backward.<locals>.<lambda>r   r/   r   c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   r  c                   S   ri   r  r0   r0   r0   r0   r4   rc   "  rk   c                   S   ri   rr  r0   r0   r0   r0   r4   rc   '  rk   rQ  rs  r  r   zavg_pool3d_backward())	rT   rf   r   r   r   rw  avg_pool3d_backward_shape_checkr   r   )r  r   r  r   r^  rT  ry  rz  r  r{  r|  r  r}  r~  r  r  r  r  r  r  r  otime_for_shape_checkoheight_for_shape_checkowidth_for_shape_checkr0   r0   r4   meta_avg_pool3d_backward  st   
  




r  c                    sZ   t  jdkp jdk fdd  jd d t| }t }t j| j j	|dS )Nr-   r  c                      r   )Nz"Expected 3D or 4D tensor, but got r  r0   r   r0   r4   rc   P  r   z*meta_adaptive_avg_pool2d.<locals>.<lambda>r  rW  )
rT   rf   r   r   re   rO   r   r   r\   r|   )r   output_sizerC  r   r0   r   r4   meta_adaptive_avg_pool2dL  s   

r  c                    s@   t  jdkp jdk fdd   jd d t| S )Nr  r  c                      r   )Nz"Expected 4D or 5D tensor, but got r  r0   r   r0   r4   rc   b  r   z*meta_adaptive_avg_pool3d.<locals>.<lambda>rs  )rT   rf   r   r   r   re   )r   r  r0   r   r4   meta_adaptive_avg_pool3d^  s
   
r  c                    s    j }td|D ]t dk fdd qt|dkp$|dkfdd tj jk fdd tj}trDtj}	j
j|d	S )
Nr/   r   c                      s   d j  d dS )Nz{adaptive_avg_pool2d_backward(): Expected grad_output to have non-zero                       size for non-batch dimensions,  with dimension  being emptyr  r0   )grad_outr   r0   r4   rc   m  s
    z4meta__adaptive_avg_pool2d_backward.<locals>.<lambda>r-   r  c                      r   )NzBadaptive_avg_pool2d_backward(): Expected 3D or 4D tensor, but got r  r0   r   r0   r4   rc   r  r   c                      r  Nexpected dtype z! for `grad_output` but got dtype r   r0   )r  r   r0   r4   rc   v  r  r   )r   r   rT   rf   r   r\   r   r  r  r   r   r  )r  r   r   r   r0   )r  r   r   r4   "meta__adaptive_avg_pool2d_backwardg  s$   

r  c                 C   s   t | d tj|tjdS )Nadaptive_avg_pool3d_backwardr   )!_adaptive_pool_empty_output_checkrT   r   r  r  r   r0   r0   r4   "meta__adaptive_avg_pool3d_backward~  s   
r  r  c                    s<   j }td|D ]tdk fdd qd S )Nr/   r   c                      s     dj  d dS )Nzc(): Expected grad_output to have non-zero size for non-batch dimensions, but grad_output has sizes r  r  r  r0   r  r  r   r0   r4   rc     s
   z3_adaptive_pool_empty_output_check.<locals>.<lambda>)r   r   rT   rf   r   )r  r  r   r0   r  r4   r    s   r  c                    s"  j }t|dv fdd td|D ] t dk fdd qtt|dkdd  d}d}d}j d	krGd}|d7 }|d }|\}}j d
krm|||f}|}	j|tjd}
|	|
fS ||||f}t	}|j
|d}	j|tjdj
|d}
|	|
fS )Nr-   r  c                      r   )Nz:adaptive_max_pool2d(): Expected 3D or 4D tensor, but got: r  r0   r  r0   r4   rc     r   z*meta_adaptive_max_pool2d.<locals>.<lambda>r/   r   c                         dj  d  dS )Nzjadaptive_max_pool2d(): Expected input to have non-zero size for non-batch dimensions, but input has sizes r  r  r  r0   r   r   r0   r4   rc     
   r   c                   S   ri   )NzCadaptive_max_pool2d(): internal error: output_size.size() must be 2r0   r0   r0   r0   r4   rc     rk   r  r-   r   r   )r   rT   rf   r   r   r   r   r   rO   r   r  )r   r  r   dimHsizeBsizeDosizeHosizeWr   r   r   r   r0   r  r4   meta_adaptive_max_pool2d  sD   







r  c                    sd    j }t|dv  fdd t d tj jk fdd t}jj	|dS )Nr  c                      r   )NzKadaptive_max_pooling2d_backward(): Expected 3D or 4D grad_output, but got: r  r0   r  r0   r4   rc     r   z3meta_adaptive_max_pool2d_backward.<locals>.<lambda>adaptive_max_pool2d_backwardc                      r  r  r   r0   r  r   r0   r4   rc     r  r   )
r   rT   rf   r  r\   rO   r   r   r   r  )r  r   r   r   r   r0   r  r4   !meta_adaptive_max_pool2d_backward  s   



r  c                    s   j }t|dv fdd td|D ] t dk fdd qtt|dkdd  d}d}d}|d	krFd}|d7 }|}|\}}}|d
kr[||||f}	n|||||f}	|	}
j|	tjd}|
|fS )Nr  c                      r   )Nz:adaptive_max_pool3d(): Expected 4D or 5D tensor, but got: r  r0   r  r0   r4   rc     r   z*meta_adaptive_max_pool3d.<locals>.<lambda>r/   r   c                      r  )Nzjadaptive_max_pool3d(): Expected input to have non-zero size for non-batch dimensions, but input has sizes r  r  r  r0   r  r0   r4   rc     r  r-   c                   S   ri   )NzCadaptive_max_pool3d(): internal error: output_size.size() must be 3r0   r0   r0   r0   r4   rc     rk   r  r  r   )r   rT   rf   r   r   r   r   r   )r   r  r   dimDr  r  osizeTr  r  r   r   r   r0   r  r4   meta_adaptive_max_pool3d  s8   





r  c                 C   s   t | d ||jS )Nadaptive_max_pool3d_backward)r  r   r   )r  r   r   r0   r0   r4   !meta_adaptive_max_pool3d_backward  s   
r  c                 C   s   |d u rt d| |S )Nz:cannot repeat_interleave a meta tensor without output_size)r  r   )repeatsr  r0   r0   r4   meta_repeat_interleave_Tensor  s   
r  c                 C   sD   | j jsJ |j jsJ t| t| j |t|j tjd}|S NrG   )r\   r   rS   r  r   r   rP   )realimagr  r0   r0   r4   meta_complex  s   r  )
fill_valuer  c                C   s   | j ||  ftjdS rc  )r   r   rT   r   )r   r   r  r0   r0   r4   nonzero_static  s   r  c                 C   s<   t tjdd  t j|  |  fd|  ft j| jdS )Nc                   S   ri   )NaY  The register_meta function for torch.nonzero() raises unimplemented by default, as a correct data-independent implementation does not exist. This implementation returns a fake value, assuming all elements of the tensor are non-zero. To enable this registration, please set 'torch.fx.experimental._config.meta_nonzero_assume_all_nonzero' to True.r0   r0   r0   r0   r4   rc   '  rk   znonzero.<locals>.<lambda>r/   r\   r|   )	rT   _check_not_implementedr  meta_nonzero_assume_all_nonzeror  r   r   r   r|   r   r0   r0   r4   nonzero"  s   
r  c              
      sD  t tdd  g }tD ]q\d ur|t jt jt jt jt jfv dd  jt jt jfv rv }t	|t 
j jkfdd tjD ]#t 
j j  kfdd ||d qQq| q| q|t t	jkfdd dd lm} t|j t	jk rd  t	jk sd}d	}D ]|dkrǈd urd}q|dkr҈d u rd
}qd ur nqd}|sg }g }tD ]\d ur| | qtD ]\d u r| | q||g g  g tD ]&\}	d u rBr8 j|	  q"j|	  q"tjq" fdd}
   }ddlm} | dkrk|S |
}t|\}}t|ttt	|krt|j|}t|}t|t|}|| |}|S )Nc                   S   ri   )Nz#at least one index must be providedr0   r0   r0   r0   r4   rc   7  rk   z#meta_index_Tensor.<locals>.<lambda>c                   S   ri   )Nz?tensors used as indices must be long, int, byte or bool tensorsr0   r0   r0   r0   r4   rc   ?  rk   c                      r   )N)too many indices for tensor of dimension r  r0   r   r0   r4   rc   F  r   c                	      s$   dj  d  dj  d  S )NzThe shape of the mask 
 at index z0 does not match the shape of the indexed tensor r  r0   )r   r   jr  r   r0   r4   rc   K  s
    r/   c                      s   dj  dt  dS )Nr  z (got rs   )r   r   r0   )r   r   r0   r4   rc   V  r_  r   Fr   Tc                    sL      }t |  }dgt |tt| jt  < | ||S )zI
        This follows restride_src in TensorAdvancedIndexing.cpp
        r   )r   r   r   r   r*  )r   r   r   )after_shapebefore_shapereplacement_shaper0   r4   _restride_src  s    z(meta_index_Tensor.<locals>._restride_srcguard_or_false) rT   rf   r  	enumerater\   r   r   r(  r  r   r   r   r   r   r   selecttorch._refs_refsr   r#   r   r   r  r  r   rO   3compute_elementwise_output_logical_to_physical_perm
apply_permr   invert_permr*  r   )r   r   r  r  refsstatehas_contiguous_subspacer  transposed_indicesr   r  r   r  restrided_selfpermrR   
perm_shaper  r0   )	r  r  r   r   r   r  r  r  r   r4   meta_index_Tensor5  s   









r  c                 C   sT   d }d }d }|
d r|  | }|
d r|  | }|
d r%|  |}|||fS Nr   r/   r   r   r   )grad_output_input_weight_bias_sizes_optr   r^  r  
transposedr  r  output_maskbackend_grad_inputbackend_grad_weightbackend_grad_biasr0   r0   r4   meta_convolution_backward  s   

r  c                   s     d} d}| ||f} t  dkdd  t dkdd  t  d dk fdd t  d dk fd	d t|  d|ko^|  d|kd
d  | |   S )Nr/   r   r-   c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   zmeta_addbmm.<locals>.<lambda>c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   r   c                         d  d d d S )Nz8batch1 and batch2 must have same number of batches, got r   r   r   r0   r  r  r0   r4   rc     r  c                
      6   d  d d  d d d d d d	S )Nz#Incompatible matrix sizes for bmm (r/   r9   r   r   rs   r   r0   r  r0   r4   rc     
   c                   S   ri   )Nz.self tensor does not match matmul output shaper0   r0   r0   r0   r4   rc     rk   )r   r)  rT   rf   r   r   )r   r  r  r4  r3  r  r  r0   r  r4   meta_addbmm  s$   

r  c                 K   s   |  |  S r=   r  )r   r  kwargsr0   r0   r4   meta_randint_like  s   r  )
grad_scale	found_infc       	            s4   | |||||fD ] t t t fdd qd S )Nc                         dt   S Nz'exponent must be a tensor list but got rt   r0   lr0   r4   rc     r  z#meta__fused_adam_.<locals>.<lambda>rT   rf   rl   r   )r   gradsexp_avgsexp_avg_sqsmax_exp_avg_sqsstate_stepslrbeta1beta2weight_decayepsamsgradmaximizer  r  r0   r  r4   meta__fused_adam_  s   
r  c       	            sZ   | |||||fD ] t t t fdd qdd }|| ||||||||fS )Nc                      r  r  r   r0   r  r0   r4   rc   &  r  z"meta__fused_adam.<locals>.<lambda>c                 S   s   dd | D S )Nc                 S   s   g | ]}t |qS r0   r  )rJ   r  r0   r0   r4   rM   *  rN   z=meta__fused_adam.<locals>.empty_like_list.<locals>.<listcomp>r0   )tensor_listr0   r0   r4   empty_like_list)  s   z)meta__fused_adam.<locals>.empty_like_listr  )r   r  r  r  r  r  r	  r
  r  r  r  r  r  r  r  r  r0   r  r4   meta__fused_adam  s   
r  c                    s   t   dkdd  t  dkdd  t  jt ju  fdd t jt ju fdd t  ddk fd	d  j ddft jd
S )Nr   c                   S   ri   )Nza must be a 2D tensorr0   r0   r0   r0   r4   rc   8  rk   zmeta__int_mm.<locals>.<lambda>c                   S   ri   )Nzb must be a 2D tensorr0   r0   r0   r0   r4   rc   9  rk   c                      r   )Nzexpected self to be int8, got r   r0   )r2   r0   r4   rc   <  r   c                      r   )Nzexpected mat2 to be int8, got r   r0   )r3   r0   r4   rc   @  r   r/   r   c                
      r  )Nz'Incompatible matrix sizes for _int_mm (r   r9   r/   r   rs   r   r0   r1   r0   r4   rc   D  r  r   )rT   rf   r   r\   r(  r   r   r)  r1   r0   r1   r4   meta__int_mm5  s   



 r  c                    st   t   dkdd  t  jt ju  fdd  d} dd } j|d ||d  d	|d ft jd
S )Nr   c                   S   ri   Nzw must be a 2D tensorr0   r0   r0   r0   r4   rc   N  rk   z2meta__convert_weight_to_int4pack.<locals>.<lambda>c                      r   r]  r   r0   r[  r0   r4   rc   Q  r   r   r/             r   )rT   rf   r   r\   r1  r   r   r)  r4  inner_k_tilesr   r  r0   r[  r4    meta__convert_weight_to_int4packL  s   



r  c                    s`   t   dkdd  t  jt ju  fdd  d} d} j||d ft jdS )Nr   c                   S   ri   r  r0   r0   r0   r0   r4   rc   b  rk   z:meta__convert_weight_to_int4pack_for_cpu.<locals>.<lambda>c                      r   Nzexpected w to be int32, got r   r0   r[  r0   r4   rc   e  r   r   r/   r   )rT   rf   r   r\   r)  r   r   r1  r  r0   r[  r4   (meta__convert_weight_to_int4pack_for_cpu`  s   




r  c                    s   t  dkdd  t   dkdd  t jt jt jt jfv fdd t  jt ju  fdd j	d 	dd	 jd
S )Nr   c                   S   ri   Nzx must be a 2D tensorr0   r0   r0   r0   r4   rc   q  rk   z*meta__weight_int4pack_mm.<locals>.<lambda>r  c                   S   ri   )Nzw must be a 4D tensorr0   r0   r0   r0   r4   rc   r  rk   c                      r   r\  r   r0   r   r0   r4   rc   u  r   c                      r   r  r   r0   r[  r0   r4   rc   y  r   r   r  r   
rT   rf   r   r\   r<  r=  r>  r)  r   r   r`  r0   r4  r9   r4   meta__weight_int4pack_mmo  s   


"r!  c                       t  dkdd  t   dkdd  t jt jt jt jfv fdd t  jt ju  fdd j	d 	djdS )	Nr   c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   z2meta__weight_int4pack_mm_for_cpu.<locals>.<lambda>c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   c                      r   r\  r   r0   r   r0   r4   rc     r   c                      r   r]  r   r0   r[  r0   r4   rc     r   r   r   )
rT   rf   r   r\   r<  r=  r>  r1  r   r   r`  r0   r   r4    meta__weight_int4pack_mm_for_cpu~     


r#  c                    r"  )	Nr   c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   z;_weight_int4pack_mm_with_scales_and_zeros.<locals>.<lambda>c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   c                      r   r\  r   r0   r   r0   r4   rc     r   c                      r   r  r   r0   r[  r0   r4   rc     r   r   r   r  )r9   r4  r^  qScaleqZerosr0   r   r4   )_weight_int4pack_mm_with_scales_and_zeros  r$  r'  r2   r3   c                 C   r7   r.   r0   r1   r0   r0   r4   kai_roundup  s   r(  c           	         s   | dkrv||kr/d}d}d}d
dddd 
fddfd	d
}||||||S |d dkrx|| dkrzd}d}d}d
ddd  fdd} 	
fdddd  fdd fdd	|||||||S d S d S d S )Nr  r  r  r   c                 S   s   t || d}t | |S )Nr  r(  )r  krsrkr_sr_roundedup4r0   r0   r4   kai_k_roundedup  s   
z3get_kai_packed_weight_size.<locals>.kai_k_roundedupc                    s8    | ||}|d dksJ d||d     S )Nr   r   zk_internal must be evenr0   )r  nrr*  r+  
k_internal)r-  kai_num_bytes_biaskai_num_bytes_multiplier_rhskai_num_bytes_sum_rhsr0   r4   9kai_get_rhs_packed_stride_rhs_pack_nxk_qsi4cxp_qsu4cxs1s0  s   z]get_kai_packed_weight_size.<locals>.kai_get_rhs_packed_stride_rhs_pack_nxk_qsi4cxp_qsu4cxs1s0c                    s    t | || }| |||| S r=   r)  )r   r  r.  r*  r+  num_rows)r3  r0   r4   7kai_get_rhs_packed_size_rhs_pack_nxk_qsi4cxp_qsu4cxs1s0  s   z[get_kai_packed_weight_size.<locals>.kai_get_rhs_packed_size_rhs_pack_nxk_qsi4cxp_qsu4cxs1s0r  r   c                    sR   || dksJ | dksJ |  dksJ t | || }|||||| S rN  r)  )r   r  r.  r*  r+  blr4  )kai_bl_multiple_of;kai_get_rhs_packed_stride_rhs_pack_nxk_qsi4c32p_qsu4c32s1s0kai_nr_multiple_ofr0   r4   9kai_get_rhs_packed_size_rhs_pack_nxk_qsi4c32p_qsu4c32s1s0  s   
z]get_kai_packed_weight_size.<locals>.kai_get_rhs_packed_size_rhs_pack_nxk_qsi4c32p_qsu4c32s1s0c                    s^   || dksJ | dksJ |  dksJ  }| |}||}|||    S rN  r0   )r  r.  r*  r+  r6  num_bytes_multiplier_rhsnum_blocks_per_rownum_bytes_per_block)r7  #kai_get_bf16_datatype_size_in_bytesr9  kai_num_blocks_per_rowr0  kai_num_bytes_per_blockr2  r0   r4   r8    s   
z_get_kai_packed_weight_size.<locals>.kai_get_rhs_packed_stride_rhs_pack_nxk_qsi4c32p_qsu4c32s1s0c                   S   ri   )Nr   r0   r0   r0   r0   r4   r>    r  zGget_kai_packed_weight_size.<locals>.kai_get_bf16_datatype_size_in_bytesc                    s   |  dksJ t | || S rN  r)  )r  r6  r7  r0   r4   r?    s   z:get_kai_packed_weight_size.<locals>.kai_num_blocks_per_rowc                    s   |   dksJ | d | S )Nr   r   r0   )r6  r;  rA  r0   r4   r@    s   z;get_kai_packed_weight_size.<locals>.kai_num_bytes_per_blockr0   )	n_bitsr  K	groupsizekai_nrkai_krkai_srr5  r:  r0   )r7  r>  r8  r3  r-  r9  r?  r0  r1  r@  r2  r4   get_kai_packed_weight_size  s@   
.rH  c                    s   t  jt ju  fdd t jj rE||kr|jt jks4||k rE|d dkrE|| dkrE|jt jkrEt	d|||} j
t|t jdS   |  }|d urW|| 7 } j
|t jdS )Nc                      r   r]  r   r0   weightsr0   r4   rc     r   z2meta__dyn_quant_pack_4bit_weight.<locals>.<lambda>r  r   r  r   )rT   rf   r\   r1  backendskleidiaiis_availablerX   r>  rH  r   r   r   )rJ  scales_zerosr$  
block_sizein_featuresout_featurespacked_weight_sizer0   rI  r4    meta__dyn_quant_pack_4bit_weight  s$   

rS  c                    sh   t  dkdd  t jt jkpjt jko k fdd d}j||jdS )Nr   c                   S   ri   )Nzinput must be a 2D tensorr0   r0   r0   r0   r4   rc   1  rk   z-meta__dyn_quant_matmul_4bit.<locals>.<lambda>c                      s   dj  d  d S )NzPexpected input to be f32 or bf16 (bf16 requires block_size == in_features), got z with block_size=z and in_features=r   r0   rO  rP  inpr0   r4   rc   5  s   r   r   )rT   rf   r   r\   r<  r>  r   r   )rU  packed_weightsrO  rP  rQ  rI  r0   rT  r4   meta__dyn_quant_matmul_4bit)  s   
rW  c                    s   t  dkdd  t jt jt jt jfv fdd t   dkdd  t  jt ju  fdd j	d 	djdS )	Nr   c                   S   ri   r  r0   r0   r0   r0   r4   rc   @  rk   z*meta__weight_int8pack_mm.<locals>.<lambda>c                      r   r\  r   r0   r   r0   r4   rc   C  r   c                   S   ri   r  r0   r0   r0   r0   r4   rc   E  rk   c                      r   )Nzexpected w to be int8, got r   r0   r[  r0   r4   rc   H  r   r   r   )
rT   rf   r   r\   r<  r=  r>  r(  r   r   )r9   r4  q_scalesr0   r   r4   meta__weight_int8pack_mm>  s   


rY  c           	         s  t  dkfdd t  dkfdd t ddkfdd t tjfdd t tjfdd t |d	kd
d  t  dv  fdd d}d}jd d }jd d }tt 	||}|
||g |S )Nr   c                      rY  )Nz1cdist only supports at least 2D tensors, X1 got: rZ  r   r0   x1r0   r4   rc   Q  rd   z$meta_cdist_forward.<locals>.<lambda>c                      rY  )Nz1cdist only supports at least 2D tensors, X2 got: rZ  r   r0   x2r0   r4   rc   U  rd   r   c                      r  )Nz4X1 and X2 must have the same number of columns. X1: r   z X2: r   r0   )r[  r]  r0   r4   rc   Y  r  c                      r   )Nz3cdist only supports floating-point dtypes, X1 got: r   r0   rZ  r0   r4   rc   ]  r   c                      r   )Nz3cdist only supports floating-point dtypes, X2 got: r   r0   r\  r0   r4   rc   a  r   r   c                   S   ri   )Nz)cdist only supports non-negative p valuesr0   r0   r0   r0   r4   rc   c  rk   r  c                      r  )Nz(possible modes: None, 0, 1, 2, but was: r0   r0   )compute_moder0   r4   rc   f  r  r  )rT   rf   r   r   rO   is_float_dtyper\   r   r   broadcast_shapesextendr   )	r[  r]  r  r^  r1r2batch_tensor1batch_tensor2rC  r0   )r^  r[  r]  r4   meta_cdist_forwardM  s@   











rf  c                 C   s   |j d }|j d }|j d }|j d d }|j d d }	tt||	}
|
 }|||g t|
}|dksE|dksE|dksE|dkrJt|S |t|j krV|	|}tj
|tjdS )Nr   r  r   r   )r   r   rT   r`  copyra  mathprod
zeros_liker)  r   r   )r  r[  r]  r  cdistc1rb  rc  rd  re  r&  tensor1_expand_sizebatch_productr0   r0   r4   meta_cdist_backwardq  s   



 

ro  c	                    s  t  jt jt jfv  fdd t jt jt jfv fdd t tjfdd d}	|rEt |	dkdd  |	d8 }	|	d}
d urzt |t	kdd  t j
dkfd	d t    k fd
d fdddd fdd}tdkr  d}  }|tkr |	d}nR d}nL||
|}|ttfv s|s̈ d}nd}|	}jd }|tkr|rt |dkdd  |d8 }|jd }n| }|
|||fS )Nc                      r   )Nz(expected indices to be long or int, got r   r0   )r   r0   r4   rc     r   z$meta_embedding_bag.<locals>.<lambda>c                      r   )Nz(expected offsets to be long or int, got r   r0   )rR  r0   r4   rc     r   c                      r   )Nz/expected weight to be floating point type, got r   r0   )r"  r0   r4   rc     r   r   r/   c                   S   ri   Nz1include_last_offset: numBags should be at least 1r0   r0   r0   r0   r4   rc     rk   c                   S   ri   )Nz@embedding_bag: per_sample_weights only supported with mode='sum'r0   r0   r0   r0   r4   rc     rk   c                      r  )Nz1expected per_sample_weights to be 1D tensor, got rZ  r  r0   )per_sample_weightsr0   r4   rc     r  c                      s   d   d    dS )Nz%expected per_sample_weights.numel() (z$ to be the same as indices.numel() (rs   r   r0   )r   rq  r0   r4   rc     s   c                    s    | ||o| ddkS Nr   r/   r   r  r  r   padding_idx)is_fast_path_index_selectr0   r4   is_fast_path_index_select_scale  s   z;meta_embedding_bag.<locals>.is_fast_path_index_select_scalec                 S   s<   | j tjks| j tjko| ddko|ddko|dk S r  )r\   rT   rX   rV   r   )r  r   rv  r0   r0   r4   rw    s   z5meta_embedding_bag.<locals>.is_fast_path_index_selectc                    s"   |d ur| |||S  | ||S r=   r0   ru  )rw  rx  r0   r4   is_fast_path  s   z(meta_embedding_bag.<locals>.is_fast_pathcpuc                   S   ri   rp  r0   r0   r0   r0   r4   rc     rk   )rT   rf   r\   r   r   rO   r_  r   r   MODE_SUMr   r   r   MODE_MAX	MODE_MEANr   )r"  r   rR  scale_grad_by_freqr  sparserq  include_last_offsetrv  num_bagsr   ry  
offset2bagbag_sizemax_indicesfast_path_sumnumBagsr0   )r   rw  rx  rR  rq  r"  r4   meta_embedding_bag  st   








r  c                 G   sB   t | ||g|R  \}}}}t|dkr|| }||||fS )Nrz  )r  r   r   r   )r"  r   rR  rQ   r   r  r  r  r0   r0   r4   meta_embedding_bag_forward_only  s   r  c                 C   s.   |r|S | j js| j jr| j S |rtjS | j S r=   )r\   r   r   rT   r   )r   r\   promote_int_to_longr0   r0   r4   _get_reduction_dtype  s   r  r   c                C   s6   t | |dd}t| j|}t| ||}| j||dS )NT)r  r   )r  rO   re  r   rf  r   )r   r  rh  r\   r9  rC  r0   r0   r4   meta_nansum  s   r  c                 C   s$   t | jtt|  }| |S r=   )rO   r  r   re   r   r   r   )r   rC  r0   r0   r4   meta_median  s   
r  c                 C   sL   t | dkrtd t| j|f}t| ||}| || j|tjdfS )Nr   zmedian CUDA with indices outputr   )	r   rO   alert_not_deterministicre  r   rf  r   rT   r   )r   r   rh  rC  r0   r0   r4   meta_median_mode_dim  s   
r  c                 C   rL  r=   r0   r   r0   r0   r4   meta_logical_not_*  rx  r  c                    s   t t|  kdd  tD ]\ t dk fdd qt|   }d| t| j fddttD }| |S )Nc                   S   ri   )NzZNumber of dimensions of repeat dims can not be smaller than number of dimensions of tensorr0   r0   r0   r0   r4   rc   3  rk   zmeta_repeat.<locals>.<lambda>r   c                      r_   )Nz"Repeats cannot be negative, found r  r0   r0   )r   repr0   r4   rc   8  rd   rO  c                    s   g | ]
} | |  qS r0   r0   r  )padded_sizer  r0   r4   rM   ?  r  zmeta_repeat.<locals>.<listcomp>)	rT   rf   r   r   r  re   r   r   r   )r   r  num_new_dimensionstarget_sizer0   )r   r  r  r  r4   meta_repeat/  s   
r  c                 C   rL  r=   r0   r   r0   r0   r4   
meta_zero_C  rx  r  c                 C   s   t |tjrt| j|j | S r=   )rl   rT   r
   rh   r   r   r   r0   r0   r4   meta_binop_inplaceH  s   r  c                 C   sf   dd }dd }dd }|| r||rt d|| r$||s$t dt|tjr1t| j|j | S )	a*  
    Some checks for inplace ops.
    Checks for promotion rules for some dtypes.
    int.add/sub_(float) and bool.add/sub_(others) are rejected.
    Promoting in these in-place operations would require reallocating
    and copying over elements, hence not allowed.
    Checks for alpha param.
    c                 S       t | trt| jS t | tS r=   )rl   r   rO   r  r\   r   rn   r0   r0   r4   is_integerick     

z.meta_binop_inplace_alpha.<locals>.is_integericc                 S   r  r=   )rl   r   rO   r_  r\   r   r  r0   r0   r4   
is_floaticq  r  z,meta_binop_inplace_alpha.<locals>.is_floaticc                 S   r  r=   )rl   r   rO   is_boolean_dtyper\   r   r  r0   r0   r4   is_booleanicw  r  z.meta_binop_inplace_alpha.<locals>.is_booleanicz]Promotion of int.add/sub_(float) in in-place ops are not possible due to element size change.z_Promotion of book.add/sub_(others) in in-place ops are not possible due to element size change.)r  rl   rT   r
   rh   r   )r   r   r3  r  r  r  r0   r0   r4   meta_binop_inplace_alphaY  s   r  c                 C      t | |tjdS r  rS   r   rP   r   r   r3  r0   r0   r4   meta_binop_alpha  s   r  c                 K      t | tjdS r  r  )r   r  r0   r0   r4   
meta_round  s   r  c                    sl   t tj fdd tt jr&t tj fdd d S t tt fdd d S )Nc                           dj  S )Nz7: Expected input tensor to have an integral dtype. Got r   r0   )r  r   r0   r4   rc     rd   z#shift_dtype_check.<locals>.<lambda>c                      r  )Nz6: Expected shift value to have an integral dtype. Got r   r0   r  rv  r0   r4   rc     rd   c                      s     d S )Nz): Expected shift value to be an int. Got r0   r0   r  r0   r4   rc     r  )rT   rf   rO   r  r\   rl   r
   r   r  r   rv  r0   r  r4   shift_dtype_check  s   

r  c                 C      t d| | t| |tjdS )Nrshiftr  r  rS   r   rP   r  r0   r0   r4   meta_rshifts     r  c                 C   r  )Nlshiftr  r  r  r0   r0   r4   meta_lshifts  r  r  c                 C   s   |  | jS r=   r*  r   r0   r0   r4   	meta_zero     r  c                 C   rL  r=   r0   r   rv  r0   r0   r4   
meta_fill_  rx  r  c                 C   r  r=   r  r  r0   r0   r4   	meta_fill     
r  c                 C   rL  r=   r0   r   r0   r0   r4   
meta_relu_  rx  r  c                 C   r  r  r  r  r0   r0   r4   meta__add_relu     r        ?UUUUUU?c                 C   r  r=   r  r   noiselowerr  r  r   r0   r0   r4   meta_rrelu_with_noise  s   
r  c                 C   s   t | t |fS r=   r  r  r0   r0   r4    meta_rrelu_with_noise_functional  s   r  c                 C   rL  r=   r0   )r   r  r  r  r   r0   r0   r4   meta_rrelu_with_noise_  s   r  c                 C   r  r=   r  r   r   r   
accumulater0   r0   r4   meta_index_put  r  r  c                 C   s   t | j|j | S r=   rh   r   )r   r  valuer0   r0   r4   meta_masked_fill_  s   r  c                 C   s    |  |  jt| d}|S r   )r   r   r  rO   r   )r   r  r  masked_scaler0   r0   r4   meta__masked_scale  s   r  c                    s@   t |jt jt jfv dd  t  jjk fdd  S )Nc                   S   ri   )NzMask must be bool or uint8r0   r0   r0   r0   r4   rc   
  rk   z&meta_masked_scatter_.<locals>.<lambda>c                      rZ  )NzEmasked_scatter: expected self and source to have same dtypes but got r   r   r0   r   rF  r0   r4   rc     s
    )rT   rf   r\   r  r1  )r   r  rF  r0   r  r4   meta_masked_scatter_  s   
r  c                 C   s*   t | |\} }tj| tjd}t|||S r   )r#   rT   r   r   r  )r   r  rF  r   r0   r0   r4   meta_masked_scatter  s   r  c                 C   s
   |  |S r=   r_  )r   r  r  r0   r0   r4   meta_masked_scatter_backward  r  r  c                 C   rL  r=   r0   r  r0   r0   r4   meta_index_put_!  rx  r  c                    sP  ddl m}m} t|  dkdd  t| dkdd  |  }|  |d |d |d } d }	||	ft|| d | d  fd	d |r| jtjkpc| jtj	koh|tj
k}
t|| jkpq|
d
d  ||}n|}|sd urt dkdd  t| fdd |S )Nr   )sym_andr  r-   c                   S   ri   r  r0   r0   r0   r0   r4   rc   )  rk   z)common_meta_baddbmm_bmm.<locals>.<lambda>c                   S   ri   r  r0   r0   r0   r0   r4   rc   *  rk   r   r/   c                	      r  r  r0   r0   r  r0   r4   rc   7  s    c                   S   ri   )Nzfout_dtype only supported for torch.float32 output with float16/bfloat16 inputs or same as input dtypesr0   r0   r0   r0   r4   rc   @  rk   c                   S   ri   )Nzself must be a 3D tensorr0   r0   r0   r0   r4   rc   H  rk   c                      s   d  d   S )Nz*Expected an input tensor shape with shape z but got shape: r   r0   )r  self_baddbmmr0   r4   rc   K  r  )r  r  r  rT   rf   r   r   r\   r=  r>  r<  r   r  )r  r  is_bmmr  r&  r  r  r  res_rowsres_colssupported_out_dtyper   r0   )r  r  r  r  r  r4   common_meta_baddbmm_bmm&  s@   

r  c                 C   s   t | |dS )NTr  )r   r0  r0   r0   r4   meta_bmmQ  r  r  c                 C   s   t | |d|dS )NT)r&  r  )r   r0  r&  r0   r0   r4   meta_bmm_dtypeV  s   r  c                 C   s<   | | }| | }|dkrt |dk t |dk kr|d8 }|S rs  )r  )r9   r:   qr
  r0   r0   r4   div_rtn[  s
    r  c                 C   sZ   t | | | ||d   d |r|d nd |d }|r+|d | | | kr+|d8 }|S r  )r  )	inputSize
kernelSizerl  rm  r   r  rT  
outputSizer0   r0   r4   pooling_output_shape_pad_lre  s*   

	r  c                    sl   t |dkdd  t dkfdd t d   d d k fdd t| | |S )Nr   c                   S   ri   )Nzstride should not be zeror0   r0   r0   r0   r4   rc     rk   z&pooling_output_shape.<locals>.<lambda>c                      r  )Nz'pad must be non-negative, but got pad: r0   r0   padr0   r4   rc     r  r/   r   c                      s   d d d  S )NzApad should be at most half of effective kernel size, but got pad=z, kernel_size=z and dilation=r0   r0   r  r  r  r0   r4   rc     s
   )rT   rf   r  )r  r  r  r   r  rT  r0   r  r4   rw    s   rw  c              	      sd    }	
tdkodkfdd tdko  dk fdd tdko1dkfdd ddkoFddk}|tjkrbt|dkoZ|oZd	dkfd
d n"t|d	krqddkrq|p}|dko}|o}d	dkfdd td kod kfdd tdkodk	
fdd d S )Nr   c                      rp   )Nz5kernel size should be greater than zero, but got kH: , kW: r0   r0   )r{  r|  r0   r4   rc     rd   z$pool2d_shape_check.<locals>.<lambda>c                      rp   )Nz0stride should be greater than zero, but got dH: , dW: r0   r0   )r}  r~  r0   r4   rc     rd   c                      rp   )Nz9dilation should be greater than zero, but got dilationH: , dilationW: r0   r0   )	dilationH	dilationWr0   r4   rc     rd   r/   r   r  r-   c                         d    S )NzExpected 4D (batch mode) tensor expected for input with channels_last layout with optional 0 dim batch size for input, but got: r   r0   r  r0   r4   rc     s    c                      r  )NzYExpected 3D or 4D (batch mode) tensor with optional 0 dim batch size for input, but got: r   r0   r  r0   r4   rc     r  c                      s   d d d d  S )NzKpad should be smaller than or equal to half of kernel size, but got padW = z	, padH = z, kW = z, kH = r0   r0   )r{  r|  r  r  r0   r4   rc     s    c                      s*   d d  d d d d dS NzGiven input size: (r9   z). Calculated output size: (z). Output size is too smallr0   r0   )r  r  rU  r  rV  rW  r0   r4   rc     s    )r   rT   rf   r   r  )r   r{  r|  r}  r~  r  r  r  r  rU  r  r  rV  rW  r   r   
valid_dimsr0   )r}  r~  r  r  r   r  r  r{  r|  rU  r  rV  rW  r  r  r4   rx    sB   


rx  r  r  r{  r|  r  r}  r~  pTpHpW	dilationTr  r  r  r  r  r  r  r  r  c              
      s  	j }tdkodkodkfdd tdko&dko& dk fdd tdko<dko<dkfdd t|dv 	fdd t|D ]|dkradkraqVt	dk	fd	d qV|rt
kokok
fd
d td kod kod kfdd tdkodkodk
fdd d S )Nr   c                         d d  d S )Nz5kernel size should be greater than zero, but got kT: z, kH: r  r0   r0   )r{  r  r|  r0   r4   rc        z$pool3d_shape_check.<locals>.<lambda>c                      r  )Nz0stride should be greater than zero, but got dT: z, dH: r  r0   r0   )r}  r  r~  r0   r4   rc     s   c                      r  )Nz9dilation should be greater than zero, but got dilationT: z, dilationH: r  r0   r0   )r  r  r  r0   r4   rc     r  r  c                      r  )Nz/: Expected 4D or 5D tensor for input, but got: r  r0   )r  r   r0   r4   rc     rd   r  c                      s     dj  d dS )NzZ: Expected input's non-batch dimensions to have positive length, but input has a shape of z and non-batch dimension z has length zero!)r   r   r0   )r  r   r   r0   r4   rc     s
   c                      s*   d d  d d d d dS )Nzinput image (T: r  r  z ) smaller than kernel size (kT:  kH:  kW: rs   r0   r0   )r  r  r  r{  r  r|  r0   r4   rc     s   r   c                      s(   d d d  d d d S )NzHpad should be smaller than or equal to half of kernel size, but got kT: r  r  z padT: z padW: z padH: r0   r0   )r{  r  r|  r  r  r  r0   r4   rc     s   r/   c                      s6   d d d  d d d d d dS r  r0   r0   )r  r  r  r  r  r  r  r0   r4   rc   !  s   )r   rT   rf   r   r   )r   r  r  r{  r|  r  r}  r~  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r   r0   )r}  r  r~  r  r  r  r  r   r  r   r  r  r{  r  r|  r  r  r  r  r  r  r  r4   r    sJ   	"r  c                 C   s   | j }t| |||||||	|
|||||||||||| t|||d | t|||d | t|||d | t|||d | t|||d | t|||d | t|||d | t|||d | d S )Nr  r-   r   r/   r   r  re  )r   r  r   r  r  r{  r|  r  r}  r~  r  r  r  r  r  r  r  r  r  r  r  r  r  r   r0   r0   r4   max_pool3d_backward_shape_check)  s@   r  c                 C   s   | j }t| ||||||||	|
|ddd|||||||d t|||d | t|||d | t|||d | t|||d | d S )Nr/   Tr  r-   r   r  )r   r  r  r  r{  r|  r  r}  r~  r  r  r  r  r  r  r  r  r  r  r   r0   r0   r4   r  g  s:   r  c                 C   sB  dd }|d|\}}t t|dv dd  t|dkr#||}	}
n|d|\}	}
|d	|\}}|d
|\}}| d}| d}| d}t| }|t jkr^t |  dkdd  n|t jkrpt |  dv dd  nt ddd  t	||||	||}t	||||
||}t
| |||	|
|||||||||| |||fS )Nc                    rf  )Nrg  c                      r  )Nzmax_pool2d: rh  r0   r0   ri  r0   r4   rc     r   zEmax_pool2d_checks_and_compute_shape.<locals>.unpack.<locals>.<lambda>r   r/   rj  rk  r0   ri  r4   rn    ro  z3max_pool2d_checks_and_compute_shape.<locals>.unpackr  rp  c                   S   ri   )NzOmax_pool2d: stride must either be omitted, a single int, or a tuple of two intsr0   r0   r0   r0   r4   rc     rk   z5max_pool2d_checks_and_compute_shape.<locals>.<lambda>r   r   r^  r  rs  r  r   r  c                   S   ri   )NzMnon-empty 4D (batch mode) tensor expected for input with channels_last layoutr0   r0   r0   r0   r4   rc     rk   r  c                   S   ri   )Nz9non-empty 3D or 4D (batch mode) tensor expected for inputr0   r0   r0   r0   r4   rc     rk   Fc                   S   ri   )NzAUnsupported memory format. Supports only ChannelsLast, Contiguousr0   r0   r0   r0   r4   rc     rk   )rT   rf   r   r   rO   r   r  r   r   rw  rx  )r   r  r   r^  r  rT  rn  r{  r|  r}  r~  r  r  r  r  rU  r  r  r   rV  rW  r0   r0   r4   rR    sb   		









rR  c                    s   t |||||\}tj jk fdd |jfdd}	|	  |	| t}
tjjjj	|
dS )Nc                      r  )NzExpected dtype z  for `gradOutput` but got dtype r   r0   r  r0   r4   rc     r  z7meta_max_pool2d_with_indices_backward.<locals>.<lambda>c                    s:   t | d   t | d  t | d  d S )Nr-   r   r/   )re  )r  )r  r   rV  rW  r0   r4   _check_dim_size  s   z>meta_max_pool2d_with_indices_backward.<locals>._check_dim_sizerW  )
rR  rT   rf   r\   r   rO   r   r   r   r|   )r  r   r  r   r^  r  rT  r   rU  r  r   r0   )r  r  r   rV  rW  r   r4   %meta_max_pool2d_with_indices_backward  s.   

r  c                 C   s   t | |||||\}}}|  dkr| dnd}	t| }
|  dkr*|||g}n|	|||g}tj|| j| j|
dtj|tj	| j|
dfS rP  )
rR  r   r   rO   r   rT   r   r\   r|   r   rS  r0   r0   r4   meta_max_pool2d_with_indices  s2   
r  c           
         s  t jdv fdd j}t|d |D ] t  dk fdd qt tdkdd  t t|dkd	d  d
}dd|dkr[d}nd}t jjkdd  t jdkfdd d}d}d t ||kdd  t ||kdd  t  dk fdd t |d d  d kfdd t |d d  d kfdd  dkr|||d |d g}	n	||d |d g}	t j|	jj	dt j|	t j
j	dfS )Nr  c                      r   )Nz:fractional_max_pool2d: Expected 3D or 4D tensor, but got: r  r0   r   r0   r4   rc   @  r   z,meta_fractional_max_pool2d.<locals>.<lambda>r-   r   c                      s   d   d  dS )Nz_fractional_max_pool2d: Expected input to have non-zero  size for non-batch dimensions, but got r  z emptyr   r0   )r   r   r0   r4   rc   G  s
    r   c                   S   ri   )NzNfractional_max_pool2d: kernel_size musteither be a single int or tuple of Intsr0   r0   r0   r0   r4   rc   N  rk   c                   S   ri   )NzOfractional_max_pool2d: output_size must either be a single int or tuple of Intsr0   r0   r0   r0   r4   rc   S  rk   rs  r  r   r  r/   c                   S   ri   )Nz6Expect _random_samples to have the same dtype as inputr0   r0   r0   r0   r4   rc   a  rk   c                      r   )Nz1Expect _random samples to have 3 dimensions got, r  r0   )random_samplesr0   r4   rc   e  r   c                   S   ri   )Nz=Expect _random_samples.size(0) no less then input batch size.r0   r0   r0   r0   r4   rc   m  rk   c                   S   ri   )Nz<Expect _random_samples.size(1) equals to input channel size.r0   r0   r0   r0   r4   rc   q  rk   c                      r  )Nz/Expect _random_samples.size(2) equals to 2 got .r0   r0   )r   r0   r4   rc   s  r   c                         dd  d  S )Nz%fractional_max_pool2d: kernel height r   z' is too large relative to input height r0   r0   )input_heightr  r0   r4   rc   w  r  c                      r  )Nz$fractional_max_pool2d: kernel width r/   z& is too large relative to input width r0   r0   )input_widthr  r0   r4   rc   {  r  r  )rT   rf   r   r   r   r   r\   r   r   r|   r   )
r   r  r  r  r   input_channelsinput_batchr   cr   r0   )r   r  r  r  r  r   r4   meta_fractional_max_pool2d<  s   










r  c                 C   s  t t|dv dd  |d }t|dkr|n|d }t|dkr$|n|d }t | p2t|dv dd  |s;|n|d }	|sC|nt|dkrK|	n|d }
|sS|nt|dkr[|	n|d }t t|dv dd  |d }t|dkrw|n|d }t|dkr|n|d }t t|dv d	d  |d }t|dkr|n|d }t|dkr|n|d }t | jd
v dd  | jdkr| dnd}| d}| d}| d}| d}t||||	||}t||||
||}t||||||}t| |||||	|
|||||||||||||d | jdkot| t j	k}| jdkr:| 
d}|  o2|jt j	d}||||f}n|||||f}| |}| j|t jd}|r_|jt j	d}|jt j	d}||fS )Nr  c                   S   ri   NzMmax_pool3d: kernel_size must either be a single int, or a tuple of three intsr0   r0   r0   r0   r4   rc     rk   z.meta_max_pool3d_with_indices.<locals>.<lambda>r   r/   r   c                   S   ri   NzQmax_pool3d: stride must either be omitted, a single int, or a tuple of three intsr0   r0   r0   r0   r4   rc     rk   c                   S   ri   NzImax_pool3d: padding must either be a single int, or a tuple of three intsr0   r0   r0   r0   r4   rc     rk   c                   S   ri   NzJmax_pool3d: dilation must be either a single int, or a tuple of three intsr0   r0   r0   r0   r4   rc     rk   r  c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   r  rQ  rs  r  r   zmax_pool3d_with_indices()r  r   r   )rT   rf   r   r   r   rw  r  rO   r   r#  r5  r@  r   r   r  )r   r  r   r^  r  rT  r  r{  r|  r  r}  r~  r  r  r  r  r  r  rs  r  r  r  r  r  r  r  r  input_channels_last_checkr   r   r   r0   r0   r4   meta_max_pool3d_with_indices  s   

  







r  c                 C   s^  t t|dv dd  |d }t|dkr|n|d }	t|dkr$|n|d }
t | p2t|dv dd  |s;|n|d }|sC|	nt|dkrK|n|d }|sS|
nt|dkr[|n|d }t t|dv dd  |d }t|dkrw|n|d }t|dkr|n|d }t t|dv d	d  |d }t|dkr|n|d }t|dkr|n|d }t |jd
v dd  |d}|d}|d}|d}| d}| d}| d}t|| ||||	|
|||||||||||||||d |jdkot|t jk}|jdkr|	d}|
  o|j
t jd}||j}|r-|jt jd}|S )Nr  c                   S   ri   r   r0   r0   r0   r0   r4   rc     rk   z7meta_max_pool3d_with_indices_backward.<locals>.<lambda>r   r/   r   c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   c                   S   ri   r  r0   r0   r0   r0   r4   rc      rk   r  c                   S   ri   r  r0   r0   r0   r0   r4   rc   (  rk   rQ  rs  r  r   z"max_pool3d_with_indices_backward()r  r  r   )rT   rf   r   r   r   r  rO   r   r#  r5  r@  r   r   r  )r  r   r  r   r^  r  rT  r   r  r{  r|  r  r}  r~  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r  r0   r0   r4   %meta_max_pool3d_with_indices_backward  s   
  









r  gridc                    s   t j jk fdd t jt jko jt jk fdd t jd  jd k fdd t  jd jd k fdd tdjD ]t j dkfd	d qPd S )
Nc                      r  )NzNgrid_sampler(): expected input and grid to be on same device, but input is on z and grid is on r~  r0   r  r   r0   r4   rc   d  r  z+check_grid_sampler_common.<locals>.<lambda>c                      r  )NzTgrid_sampler(): expected input and grid to have torch.strided layout, but input has z and grid has )r{   r0   r	  r0   r4   rc   k  r  r   c                      r  )NzZgrid_sampler(): expected grid and input to have same batch size, but got input with sizes  and grid with sizes r  r0   r	  r0   r4   rc   r  r  r   r   c                      s   dj d  d j S )Nz+grid_sampler(): expected grid to have size r   z, in last dimension, but got grid with sizes )r   r   r0   r	  r0   r4   rc   y  s   c                      r  )NzYgrid_sampler(): expected input to have non-empty spatial dimensions, but input has sizes r  r  r  r0   r  r0   r4   rc     r  )rT   rf   r|   r{   rK  r   r   r   )r   r  r0   )r  r   r   r4   check_grid_sampler_commona  s,   
r  c                   @   s   e Zd ZdZdZdZdS )GridSamplerInterpolationr   r/   r   N)ru   
__module____qualname__BILINEARNEARESTBICUBICr0   r0   r0   r4   r    s    r  interpolation_modec                    sP   t jdkoj jk fdd t jdko |tjjk dd  d S )Nr  c                      r  )Nzdgrid_sampler(): expected 5D input and grid with same number of dimensions, but got input with sizes r
  r  r0   r	  r0   r4   rc     s
   z'check_grid_sampler_3d.<locals>.<lambda>c                   S   ri   )Nz<grid_sampler(): bicubic interpolation only supports 4D inputr0   r0   r0   r0   r4   rc     rk   )rT   rf   r   r  r  r  )r   r  r  r0   r	  r4   check_grid_sampler_3d  s   

r  c           
      C   s:   |d }|rt j|t jd}nd }t j|t jd}	||	fS Nr   r   )rT   rj  r   r   
r  r   r  r  padding_modealign_cornersr  input_requires_gradr  	grad_gridr0   r0   r4   grid_sampler_2d_backward_meta  s   
r  c           
      C   s\   t | | t| || | jd }| jd }|jd }|jd }|jd }	| |||||	fS )Nr   r/   r   r-   )r  r  r   r   )
r   r  r  r  r  r  Cout_Dout_Hout_Wr0   r0   r4   grid_sampler_3d  s   
	




r  r  c           
      C   sP   t || t||| |d }|rtj|tjd}nd }tj|tjd}	||	fS r  )r  r  rT   rj  r  r   r  r0   r0   r4   grid_sampler_3d_backward  s   
r   c                 O   s8   | d}|st|}||d< tj| g|R i |S )Nr\   )r[   rO   	get_dtyperT   r   )r   r  rQ   r  r\   r0   r0   r4   full  s
   

r"  c                 C   s   |t jkrJt |d u dd  t jd|d u r| jn|||d u r"| jn||d}| jr8||  | 	 | 
  n||  |  d |d |S tjj| |||||d}|d |S )Nc                   S   ri   )Nz9memory format option is only supported by strided tensorsr0   r0   r0   r0   r4   rc     rk   zzeros_like.<locals>.<lambda>r   r   Tr}  )rT   
sparse_coorf   r   r\   r|   	is_sparsesparse_resize_and_clear_r   
sparse_dim	dense_dimr   _coalesced_r*   r   r  fill_)r   r\   r{   r|   r}   r   r?  r0   r0   r4   rj    s:   
	

	rj  rz   c                C   B   |d u rt  }|d u rt  }|d u rt j}t j| ||||dS r   rT   r   get_default_devicerK  r   r   r\   r{   r|   r}   r~   r0   r0   r4   	meta_ones     
r.  c                C   r*  r   r+  r-  r0   r0   r4   
meta_zeros-  r/  r0  c                 C   r  r=   rO   clone_preserve_strides)r   r  r   r   r0   r0   r4   meta_select_scatterC  r  r3  c                 C   r  r=   r1  )r   r  r   rw   rv   stepr0   r0   r4   meta_slice_scatterH  r  r5  dim_post_exprwrap_scalarc                 C   sb   |dkr
|sJ d}| }|d }| |k s| |kr'J d|  d| d| d| dk r/| |7 } | S )Nr   r/   zdim z out of bounds (rr   rs   r0   )r   r6  r7  r   r  r0   r0   r4   r   N  s   ,r   c                 C   s   |   dkrdS | j| S rs  rb  )r  r   r0   r0   r4   ensure_nonempty_sizeZ  s   r8  c                    st   t  d}t  d}t||kdd  t|D ] kr7tttk fdd qd S )Nr/   c                   S   ri   )NzDIndex tensor must have the same number of dimensions as input tensorr0   r0   r0   r0   r4   rc   d  rk   z$gather_shape_check.<locals>.<lambda>c                      s$   d dj  dj  d   S )Nz!Size does not match at dimension z expected index  to be no larger than self  apart from dimension r  r0   r   r   r   r   r0   r4   rc   j  s    )r  r   rT   rf   r   r8  )r   r   r   	self_dims
index_dimsr0   r;  r4   gather_shape_check_  s   r>  c                    sn   ddl m} t||  }|  dk}|s1t jtjkp$ jtj	k fdd t
| |  |  jS )Nr   r  c                      r   )Nz8gather(): Expected dtype int32/int64 for index, but got r   r0   r   r0   r4   rc   x  r   zmeta_gather.<locals>.<lambda>)r  r  r   r   r   rT   rf   r\   r   r   r>  r   r   )r   r   r   sparse_gradr  wrapped_dimis_index_emptyr0   r   r4   meta_gathero  s   
rB  c                 C   s   |r*| dkrdS | dkrdS | dkrdS | dkrdS | d	kr d
S t ddd  d S | dkr0dS | dkr6dS t ddd  d S )Nr<  
REDUCE_ADDri  REDUCE_MULTIPLYmeanREDUCE_MEANamaxREDUCE_MAXIMUMaminREDUCE_MINIMUMFc                   S   ri   )Nz=reduce argument must be either sum, prod, mean, amax or amin.r0   r0   r0   r0   r4   rc     rk   z#get_operator_enum.<locals>.<lambda>addmultiplyc                   S   ri   )Nz/reduce argument must be either add or multiply.r0   r0   r0   r0   r4   rc     rk   r  )reduce_use_new_optionsr0   r0   r4   get_operator_enum  s,   rO  c                    sp   ddl m} || dkr"t|jtjkp|jtjk fdd |d ur6t|j|jk fdd d S d S )Nr   )r  c                      
     dS )Nz((): Expected dtype int32/int64 for indexr0   r0   method_namer0   r4   rc     r  z,scatter_gather_dtype_check.<locals>.<lambda>c                      rP  )Nz0(): Expected self.dtype to be equal to src.dtyper0   r0   rQ  r0   r4   rc     r  )r  r  r   rT   rf   r\   r   r   )rR  r   r   src_optr  r0   rQ  r4   scatter_gather_dtype_check  s   


rT  c                 C   s
   t | dS r.   )r  r   r0   r0   r4   ensure_nonempty_dim  s   
rU  c           	         s0  ddl m} | dkrd S tt t kdd  d}t }t|D ]}t|}| kr:q.|t|krEd} nq.|scd urct|D ]}t|}|t|krbd} nqPd urtt t kdd  t|  fdd d S t|  fd	d d S )
Nr   r  c                   S   ri   NzCIndex tensor must have the same number of dimensions as self tensorr0   r0   r0   r0   r4   rc     rk   z%scatter_shape_check.<locals>.<lambda>FTc                   S   ri   rV  r0   r0   r0   r0   r4   rc     rk   c                      s&   dj  dj  d  dj   S )NExpected index r9  r:  z and to be no larger than src r  r0   r   r   r   rS  r0   r4   rc     s    c                      s   dj  dj  d   S )NrW  r9  r:  r  r0   )r   r   r   r0   r4   rc     s    )	r  r  r   rT   rf   rU  r   r   r8  )	r   r   r   rS  r  is_wrong_shaper<  r   index_d_sizer0   rX  r4   scatter_shape_check  sJ   

r[  c                 C   sD   t ||  }td| || t| ||| |d ur t|| d S d S )Nscatter)r   r   rT  r[  rO  )r   r   r   r  rM  rN  r@  r0   r0   r4   scatter_meta_impl  s   r]  c                 C   s   t | |||d | | jS NrK  r]  r   r   r   r   r   r  r0   r0   r4   meta_scatter_add  s   ra  c                 C   s   t | |||d | S r^  r]  r`  r0   r0   r4   meta_scatter_add_  r  rc  c                 C   s0   t |tjr|nd }t| |||| | | jS r=   )rl   rT   r
   r]  r   r   r   r   r   src_or_valuerG  r  r0   r0   r4   meta_scatter  s   
rf  c                 C   s(   t |tjr|nd }t| |||| | S r=   )rl   rT   r
   r]  rd  r0   r0   r4   meta_scatter_  s   	rg          queryr   r  	dropout_p	is_causalreturn_debug_maskr  c              	   C   sB  |  d}|  d}|  d}	|  d}
| d}t| }tj|||	ftj| jd}|rX|
dkr3dnd}t|	| }|dkrCd}n|dkrId}tj|||	|f| j| jd}n
tjd| j| jd}tj	j
rktj sqt| d	krtjd
tjdd}tjd
tjdd}ntjdtjdd}tjd
tjdd}||d d |	||||f	S )Nr   r/   r   r-   r  @         r   r0   ry   )r   rT   r   r   rX   r|   rh  ceilr\   versionhipr   rM  r   r   rv  )ri  r   r  rj  rk  rl  r  r   	num_headsmax_seqlen_batch_qhead_dimmax_seqlen_batch_k	attention	logsumexpblocksize_cmax_seqlen_k
debug_maskseedoffsetr0   r0   r4   (meta__scaled_dot_product_flash_attention  sN   







r~  	res_shape.c                    s   t jkrt}|S tg dfdddd fdd D } fddtt D }tj|jj	d	
|}|S )
N)r   r/   r   r-   c                    s      |  S r=   rt  )idx)ri  r0   r4   rc   Z  r   z,alloc_with_matching_layout.<locals>.<lambda>Tr   c                    s   g | ]} | qS r0   r0   )rJ   r  )r  r0   r4   rM   \  r  z.alloc_with_matching_layout.<locals>.<listcomp>c                    s   g | ]}  |qS r0   r   r  )	dim_orderr0   r4   rM   ]  rN   r  )re   r   rT   r   sortedr   r   r   r\   r|   r   )ri  r  r?  permuted_shapefinal_permuter0   )r  ri  r  r4   alloc_with_matching_layoutR  s   

r  	attn_biascompute_log_sumexpc	              	   C   s   |  d}	|  d}
|  d}| d}| d}|	|
||f}t| |}tj|	|
|dftj| jd}tjdtjdd}tjdtjdd}||d d ||||d f	S Nr   r/   r   r   r  r0   ry   r   r  rT   r   rX   r|   r   )ri  r   r  r  r  rj  rk  rl  r  r  rl  S_QS_KVD_Vr  r?  
logsum_expr|  r}  r0   r0   r4   (meta__scaled_dot_product_cudnn_attentione  s0   






r  c              	   C   s   |  d}|  d}	|  d}
| d}| d}||	|
|f}t| |}tj||	|
ftj| jd}tjdtjdd}tjdtjdd}||d d |
|||d f	S r  r  )ri  r   r  r  rj  rk  rl  r  r  H_Qr  r  r  r  r?  r  r|  r}  r0   r0   r4   5meta__scaled_dot_product_fused_attention_overrideable  s0   





r  r  rx  	cum_seq_q	cum_seq_kmax_qmax_kphilox_seedphilox_offsetc                 C   s(   t |}t |}t |}|||fS r=   r  )r  ri  r   r  r   rx  r  r  r  r  rj  rk  r  r  r  grad_qgrad_kr  r0   r0   r4   'meta__scaled_dot_product_flash_backward  s   



r  	attn_maskc                 C   sR   |  d}|  d}|  d}	t| }
tj||	|ftj| jddd}|
|fS )Nr   r/   r   r  )r   rT   r   r   rX   r|   r  )ri  r   r  rj  rk  r  r  r   rs  rt  rw  rx  r0   r0   r4   0meta__scaled_dot_product_flash_attention_for_cpu  s"   




r  c
                 C   sX   t j| d|j|jd}
t j| d|j|jd}t j| d|j|jd}|
||fS )Nr   r   r/   r-   r  )rT   empty_permutedr   r\   r|   )r  ri  r   r  r   rx  rj  rk  r  r  r  r  r  r0   r0   r4   9meta__scaled_dot_product_flash_attention_for_cpu_backward  s&   
r  dropout_maskc                    s   dd }|\||\}	}
||\}}
j \ |	j \}
}}
 fdd} fdd}dksF|k rIdkrI| S | S )	Nc                 S   s|   |   dkr| ddfS |   dkr:d}t|   d D ]	}|| j| 9 }q| || d| d| ddfS | d	fS )
Nr-   r   Tr  r/   rs  r  r   F)r   r5  r   r   viewr   )r9   r   r   r0   r0   r4   	ensure_4d.  s   &zBmeta__scaled_dot_product_attention_math_for_mps.<locals>.ensure_4dc                     s    j} r| }   f}r< dkr'|d}| |fS tjd d |jdd  }||}| |fS )Nr-   r   rs  r/   r  )r   r   view_asr   squeezer   r  )r   attnr   )r   max_seq_lengthnum_headq_q_sizeri  
unsqueezedr0   r4   sdpa_vector_fast_mps@  s   

 
zMmeta__scaled_dot_product_attention_math_for_mps.<locals>.sdpa_vector_fast_mpsc                     s,   d}  j}  | f}||fS )Nr  r*  )blocksr   r  )r   	head_sizer  r  r  r0   r4   sdpa_vector_2pass_mpsN  s   zNmeta__scaled_dot_product_attention_math_for_mps.<locals>.sdpa_vector_2pass_mpsi   i   r  )ri  r   r  r  rj  rk  r  r  r  k_rR   v_k_sizer  r  r0   )r   r  r  r  r  r  ri  r  r4   /meta__scaled_dot_product_attention_math_for_mps#  s   r  c                 C   s   |  dd} | dd}| dd}| d}| d}	| d}
|d}tj||	|
|| j| jd}tjjrDtj	 rD	 |rA|	nd}n|rOt
|	d d nd}tj||
|ftj| jd}| dd}tjdtjd	d}tjdtjd	d}||||fS )
Nr/   r   r   r  r   r  r  r0   ry   )r  r   rT   r   r\   r|   rq  rr  r   rM  rh  rp  rX   r   )ri  r   r  r  r  rj  rk  r  r  rI  rs  Kvr?  logsumexp_dimr  r|  r}  r0   r0   r4   ,meta__scaled_dot_product_efficient_attentionZ  s*   



r  grad_input_maskc                 C   s  | d}| d}| d}| d}| d}| d}tj||||fd|j|jd}tj||||fd|j|jd}tj||||fd|j|jd}d }|d ur|
d r| d}|d dkrb|n|d |d  }t|  }||d< tj||j|jd}|d	d |f }||||fS )
Nr   r/   r   r-   r  r  r   r  .)r   rT   r  r\   r|   r   r   )r  ri  r   r  r  r   rx  r  r  rj  r  rk  r  r   rs  r  ru  
head_dim_vr  r  r  r  	grad_biaslastDimlastDimAligned	new_sizesr0   r0   r4   +meta__scaled_dot_product_efficient_backward  sF   









 
r  c                 C   s(   t |}t |}t |}|||fS r=   r  )r  ri  r   r  r   rx  r  r  r  r  r  r  r  rj  rk  r  r  r  r  r0   r0   r4   'meta__scaled_dot_product_cudnn_backward  s   



r  window_size_leftwindow_size_right	seqused_kalibi_slopesc                 C   s  |d u r	|  dn| d }|d u r|  dn|}|d u r#| dn|}|  d}|  d}t| }|d u rFtj|||ftj| jd}n|  d}tj||ftj| jd}|	r|dkr_dnd}t|| }|dkrod}n|dkrud}tj||||f| j	| jd}n
tjd| j	| jd}d	\}}tj
jrtj rtjd
tjdd}tjd
tjdd}ntjdtjdd}tjd
tjdd}|||||fS )Nr   r/   r  r   r  rm  rn  ro  NNr0   ry   r   )r   r   rT   r   r   rX   r|   rh  rp  r\   rq  rr  r   rM  r   rv  )ri  r   r  r  r  r  r  rj  rk  rl  r  r  r  r  r  r   rt  rv  rs  ru  rw  rx  total_qry  rz  r{  r|  r}  r0   r0   r4   meta__flash_attention_forward  sR   




r  c                 C   s(   t |}t |}t |}|||fS r=   r  )r  ri  r   r  r   rx  r  r  r  r  rj  rk  r  r  r  r  r  
grad_querygrad_key
grad_valuer0   r0   r4   meta__flash_attention_backward0  s   



r  cu_seqlens_qcu_seqlens_kmax_seqlen_qrz  custom_mask_typecausal_diagonalseqlen_kwindow_sizec                 C   s   |  d}|  d}| d}|  d}| d}tj||||| j| jd}|d ur1| dd n|}|}|d urA|d us?J |}|d urG|n|}|
rTt|d d nd}tj|||ftj| jd}tjdtjdd}tjdtjdd}||||||fS )	Nr   r/   r  r   r  r  r0   ry   )	r   rT   r   r\   r|   rh  rp  rX   r   )ri  r   r  r$  r  r  r  rz  rj  r  r  r  r  r  r  r  rI  r  rs  r  r?  logsumexp_batch_dimactual_max_seqlen_qactual_max_seqlen_kr  r  r|  r}  r0   r0   r4   !meta__efficient_attention_forwardO  s,   




r  bias_requires_gradnum_splits_keyshared_storage_dqdkdvc                 C   sL  |rSt |jd |jd kdd  t |jd |jd kdd  t jg |jdd d|jd |jd R |j|jd	}|d
d}|d
d}|d
d}nt |}t |}t |}|d ur|d}|d dkrs|n|d |d  }t	| }||d< t j||j|jd	}|dd |f }nt jd|jd}||||fS )Nr/   c                   S   ri   )Nz,seqlen must match for `shared_storage_dqdkdvr0   r0   r0   r0   r4   rc     rk   z4meta__efficient_attention_backward.<locals>.<lambda>r-   c                   S   ri   )Nz3embedding dim must match for `shared_storage_dqdkdvr0   r0   r0   r0   r4   rc     rk   r   r  r   r  rs  r   r  .r0   r~  )
rT   rf   r   r   r\   r|   r  r   r   r   )r  ri  r   r  r$  r  r  r  rz  rx  rj  r  r  r  r  r  r  r  chunkr  r  r  r  r  r  r  r0   r0   r4   "meta__efficient_attention_backward  s:   *



 r  scale_ascale_bscale_resultuse_fast_accumc                    s  dd }t  dko dkfdd t |jo$|jfdd tdks9tdkrd	d
 }	dd }
dd }t |	 pP|fdd t |
 pb|fdd t dd dkfdd t dd dkodd dkfdd j\ djt jkojt jkpjt j	kojt j	k}
 dkrֈ
 dkrt jt jkoψjt jkdd  n|r9jt j	krd} d  nd}d}t |}t|dd }|t| | |t| | 
 kr+
 kr+t  dd  t  dd  nt dfdd nt jt jkoGjt jkdd  t  dkoZ dkfdd dkrddkrddkrdkrt  o d d  nadkrdd  krt dkrn ndtdkrn6dkrdd  krt dkrn n	dkrnt d fd!d |d ur|nj}t jdd|jd"S )#Nc                 S      | t jt jt jt jt jfv S r=   rT   r?  float8_e5m2float8_e4m3fnuzfloat8_e5m2fnuzfloat4_e2m1fn_x2r   r0   r0   r4   is_fp8_or_fp4_type     z2_check_scaled_mm_sizes.<locals>.is_fp8_or_fp4_typer   c                         d   d    S Nz%Inputs must be 2D but got self.dim()=z and mat2.dim()=r   r0   r0  r   r0   r4   rc     r_  z(_check_scaled_mm_sizes.<locals>.<lambda>c                      r  Nz?Expected both inputs to be fp8 or fp4 types but got self.dtype=z and mat2.dtype=r   r0   r  r0   r4   rc     r  r   r   c                 S      | d | d ko| d dkS rs  r0   rt  r0   r0   r4   is_row_major     z,_check_scaled_mm_sizes.<locals>.is_row_majorc                 S      | d dko| d dkS rs  r0   rt  r0   r0   r4   is_col_major  r  z,_check_scaled_mm_sizes.<locals>.is_col_majorc                 S      |  ddkp|  ddkS rs  r   	tensor_2dr0   r0   r4   has_zero_dim  r  z,_check_scaled_mm_sizes.<locals>.has_zero_dimc                      r  Nz#self must be row_major, got stride rt  r0   r   r0   r4   rc     r  c                      r  Nz#mat2 must be col_major, got stride rt  r0   r0  r0   r4   rc     r  r/   r  r   c                         d  d S NzBExpected self.size(1) to be divisible by 16, but got self.size(1)=r/   r   r0   r   r0   r4   rc     rd   c                      r   Nz?Expected both dimensions of mat2 to be divisible by 16 but got r  r0   r  r0   r4   rc     r   c                   S   ri   )NzNFor tensorwise scaling, both scale_a and scale_b must be float (fp32) tensors.r0   r0   r0   r0   r4   rc     rk   r  rn  r  c                   S   ri   )Nzscale_a must be contiguousr0   r0   r0   r0   r4   rc   +  rk   c                   S   ri   )Nzscale_b must be contiguousr0   r0   r0   r0   r4   rc   /  rk   Fc                	      s&   d  d   d d   d	S )NzTInvalid blockwise scaling configuration. For blockwise scaling, scale_a should have  elements, got z, scale_b should have r  rr  r0   )expected_a_sizeexpected_b_sizer  r  r0   r4   rc   4  s   c                   S   ri   )NzKFor rowwise scaling, both scale_a and scale_b must be float (fp32) tensors.r0   r0   r0   r0   r4   rc   =  rk   c                      s   d   d  S )NzLFor non-tensorwise scaling, scale tensors must be 2D, but got scale_a.dim()=z and scale_b.dim()=r   r0   r  r  r0   r4   rc   B  r_  c                   S   ri   )Nz@Both scale_a and scale_b must be contiguous for rowwise scaling.r0   r0   r0   r0   r4   rc   N  rk   c                      s   d d d dt  d d	dt  d dt d d dt  d d	 dt  d d d	d
 dd dd
 dd d S Nz}Invalid scaling configuration. For tensorwise scaling, both scales should be scalar. For rowwise scaling, scale_a should be (z, 1), scale_b should be (1, z>). For (BlockWise1x128, BlockWise128x128), scale_a should be (rr   rn  z), zscale_b should be (z<). For (BlockWise1x128, BlockWise1x128), scale_a should be (z). Got scale_a.size()=(r   r/   z) and scale_b.size()=(rs   r5   r   r0   )_krB  r   r  r  r0   r4   rc   b  s2   r  )rT   rf   r   r\   r   r   r   r   float8_e8m0fnur?  r   r<  r5   r@  r   r|   )r   r0  r  r  r$  r  r&  r  r  r  r  r  is_blockwise_scalingblock_size_kblock_size_mnnum_k_blockspadded_num_k_blocks
_out_dtyper0   )	r  r  r  rB  r0  r   r  r  r   r4   _check_scaled_mm_sizes  s   
	


"






	.. r  c              	   C   s   t | |||||||S r=   )r  )r   r0  r  r  r$  r  r&  r  r0   r0   r4   meta_scaled_mms  s   r  scale_recipe_ascale_recipe_b	swizzle_a	swizzle_bc              
      sz	  dd }dd }t  dko dkfdd t |jo(|jfdd jd	 jd
  jd
 |jrO|jrOd} |9  dd |D }dd |D }rgdd D ntjgrudd D ntjgtdkstdkrdd }dd }dd }t | p|fdd t | p|fdd t 	d
d d	kfdd t 	d	d d	koڈ	d
d d	kfdd dt
t dt
t fdd }dt
t dt
t fd!d"}dt
t dt
t fd#d$}dt
t dt
t fd%d&}dt
t dt
t fd'd(}dt
t dt
t fd)d*}dt
t dt
t fd+d,}|||rmt 
d	  d
kofd	  d
kof
d	 jt jkofd	 jt jkd-d  n<|||rt 
d	 jd	 ko
d	  ko
d	 jt jkod	  kod	 jt jk
fd.d n|||rD
d	 jt jkoÈd	 jt jk}
d	 jd	 kojd
  d/ kod	d
kod
kpjd
 d
kod
d
k}d	 		jd	 ko-	jd
  d/ ko-	d	d
ko-	d
kp-	jd
 d
ko-	d
d
k}t |o7|o7| 	fd0d ne|||r
d	 jt jkoZd	 jt jk}t d/ d1
d	 jd	 kojd
 d/ kod	d
kod
kpjd
 d
kod
d
k}d	 		jd	 koˈ	jd
  d/ koˈ	d	d
koˈ	d
kpˈ	jd
 d
koˈ	d
d
k}t |o|o| 	fd2d n|||r
d	 jt jkod	 jt jk}t d/ d1
d	 jd	 ko5jd
  d/ ko5d	d
ko5d
kp5jd
 d
ko5d
d
k}d	 		jd	 koj	jd
 d/ koj	d	d
koj	d
kpj	jd
 d
koj	d
d
k}t |ot|ot| 	fd3d n'|||rt jjrtjd	 d4jd
  tjd
 d4jd	  tjn)tjd	 d/ttjd
 d4d1 tjd
 d/ttjd
 d4d1 tjt 
d	  ko
d	 jt jkod	  kod	 jt jkod	 kod	 k
fd5d n|||rtd/tt dd1 td/tt dd1 tjt 
d	  ko
d	 jt jko
d
  d
ko
d
 jt jkod	  kod	 jt jkod
  d
kod
 jt jkod	 kod	 k
fd6d nt d7 
fd8d |d ur|nj}t j|jd9S ):Nc                 S   r  r=   r  r   r0   r0   r4   r    r  z5_check_scaled_mm_sizes_v2.<locals>.is_fp8_or_fp4_typec                 S   s   | t jfv S r=   )rT   r  r   r0   r0   r4   is_fp4_type  r  z._check_scaled_mm_sizes_v2.<locals>.is_fp4_typer   c                      r  r  r   r0   r  r0   r4   rc     r_  z+_check_scaled_mm_sizes_v2.<locals>.<lambda>c                      r  r  r   r0   r  r0   r4   rc     r  r   r/   c                 S      g | ]}t |qS r0   r%   rJ   sir0   r0   r4   rM     r  z-_check_scaled_mm_sizes_v2.<locals>.<listcomp>c                 S   r  r0   r  r  r0   r0   r4   rM     r  c                 S   r  r0   r&   r  r0   r0   r4   rM     r  c                 S   r  r0   r  r  r0   r0   r4   rM     r  r   r   c                 S   r  rs  r0   rt  r0   r0   r4   r    r  z/_check_scaled_mm_sizes_v2.<locals>.is_row_majorc                 S   r  rs  r0   rt  r0   r0   r4   r    r  z/_check_scaled_mm_sizes_v2.<locals>.is_col_majorc                 S   r  rs  r   r  r0   r0   r4   r    r  z/_check_scaled_mm_sizes_v2.<locals>.has_zero_dimc                      r  r  rt  r0   r   r0   r4   rc     r  c                      r  r  rt  r0   r  r0   r4   rc     r  r  c                      r  r  r   r0   r   r0   r4   rc     rd   c                      r   r  r  r0   r  r0   r4   rc     r   recipe_arecipe_bc                 S   4   t | dkot |dko| d tjko|d tjkS r  )r   r%   
TensorWiser  r  r0   r0   r4   is_tensorwise     
z0_check_scaled_mm_sizes_v2.<locals>.is_tensorwisec                 S   r  r  )r   r%   RowWiser  r0   r0   r4   
is_rowwise  r  z-_check_scaled_mm_sizes_v2.<locals>.is_rowwisec                 S   r  r  )r   r%   BlockWise1x32r  r0   r0   r4   is_mx  r  z(_check_scaled_mm_sizes_v2.<locals>.is_mxc                 S   sP   t | dko't |dko'| d tjko'| d tjko'|d tjko'|d tjkS )Nr   r   r/   )r   r%   BlockWise1x16r  r  r0   r0   r4   is_nv  s   
z(_check_scaled_mm_sizes_v2.<locals>.is_nvc                 S   r  r  )r   r%   BlockWise1x128r  r0   r0   r4   is_1x128_1x128  r  z1_check_scaled_mm_sizes_v2.<locals>.is_1x128_1x128c                 S   4   t | dkot |dko| d tjko|d tjkS r  )r   r%   r  BlockWise128x128r  r0   r0   r4   is_1x128_128x128  r  z3_check_scaled_mm_sizes_v2.<locals>.is_1x128_128x128c                 S   r   r  )r   r%   r!  r  r  r0   r0   r4   is_128x128_1x128  r  z3_check_scaled_mm_sizes_v2.<locals>.is_128x128_1x128c                   S   ri   )Nz\For Tensorwise scaling, both scale_a and scale_b must be single element float (fp32) tensorsr0   r0   r0   r0   r4   rc      rk   c                	      s:   dj d  dd   d j d  dd   d	S )Nz'For Rowwise scaling, scale_a must have r   z elements (got: z), and scale_b must have r/   rs   )r   r   r0   )r0  r  r  r   r0   r4   rc   )  s
   
rn  c                      sR   d d d  dj  d dj d d d  dj  d dj dS )Nz>For 1x128 x 1x128 blockwise scaling, scale a must have shape [rr   rn  ] (got: ) and stride [1, )scale b must have shape [rs   r   r   r0   )rC  rI  r  sasbr0   r4   rc   F  *   r  c                      sR   d dd  dj  d dj d d d  dj  d dj dS )Nz]For 128x128 x 1x128 blockwise scaling, L4 = {round_up(K / 128, 4)}, scale a must have shape [rr   rn  r$  r%  r&  rs   r'  r0   rC  L4rI  r  r(  r)  r0   r4   rc   e  r*  c                      sR   d d d  dj  d dj d dd  dj  d dj dS )Nz]For 1x128 x 128x128 blockwise scaling, L4 = {round_up(K / 128, 4)}, scale a must have shape [rr   rn  r$  r%  r&  rs   r'  r0   r+  r0   r4   rc     r*  r  c                      sh   d  dd    d dd    dtj dd j dd j d d	d  dd  d
S )Nz!for MX scaling scale_a must have  (got: r   ) and scale_b must have z). Scales must have types z (for self: 	, mat_b: z) Must have swizzle type  (got self: rs   )r   rT   r  r\   r0   expected_scale_a_elemsexpected_scale_b_elemsexpected_swizzler  r  r	  r
  r0   r4   rc     s"   
c                      sH   d  dd    d dd    d dd  dd  dS )	Nz!for NV scaling scale_a must have r-  r   r.  z). Must have swizzle type r0  r/  rs   rr  r0   r1  r0   r4   rc     s   
Fc                      s   d d d dt  d d	dt  d dt d d dt  d d	 dt  d d d	d
 d
 dd
 d dd
 d
 dd
 d d S r  r  r0   )rC  rI  r  r  r  r0   r4   rc     s2   r  )rT   rf   r   r\   r   r&   
NO_SWIZZLEr   r   r   r   r%   r   r<  r;   rq  rr  r5   SWIZZLE_32_4_4r  r?  r   r|   )r   r0  r  r  r  r  r$  r&  r	  r
  r  r  r  K_packed_multiplierr  r  r  r  r  r  r  r  r"  r#  types_ok
scale_a_ok
scale_b_okr  r0   )rC  r,  rI  r  r2  r3  r4  r0  r(  r)  r  r  r   r	  r
  r4   _check_scaled_mm_sizes_v2  s  	





"


 ,, ,, ,,




	r;  r9  contraction_dimsc                 C   s   t | |||||||	|||dS )N)r$  r&  r	  r
  r  )r;  )r   r0  r  r  r	  r  r  r
  r$  r9  r<  r  r0   r0   r4   meta_scaled_mm_v2  s   r=  c                 C   s    t | ||||dd | | jS NT)rN  r_  r   r   r   r  rG  rE  r0   r0   r4   meta_scatter_reduce_two  s   r@  c                 C   s   t | ||||dd | S r>  rb  r?  r0   r0   r4   meta_scatter_reduce__two  s   rA  c                   sh   t d    k odkn   fdd   dkr&t j|t j jdS t j d|t j jdS )Nr   r   c                      r  )NzAThe probability distributions dimensions must be 1 or 2, but got r   r0   r  r0   r4   rc     r  z"meta_multinomial.<locals>.<lambda>r/   r  )rT   rf   r   r   r   r|   r   )r   num_samplesreplacementr   r0   r  r4   meta_multinomial  s   
rD  c                 C   s   d}| D ]}||9 }q|S r.   r0   )vsr
  vr0   r0   r4   multiply_integers  s   
rG  c                    s   t tkfdd d  t t k fdd t tdd dd  D o9tdd D fdd d d \}}||gR S )Nc                         d  dt  S )Nz%It is expected output_size equals to , but got size r]  r0   )num_spatial_dimsr  r0   r4   rc     r  z'upsample_common_check.<locals>.<lambda>r   c                      rH  )Nz$It is expected input_size equals to rI  r]  r0   )expected_input_dimsr  r0   r4   rc     r  c                 s       | ]}|d kV  qdS r   Nr0   )rJ   r{  r0   r0   r4   ro     r1  z(upsample_common_check.<locals>.<genexpr>c                      rp   )NzDInput and output sizes should be greater than 0, but got input size z and output size r0   r0   )r  r  r0   r4   rc     s
    )rT   rf   r   r6  )r  r  rJ  rs  channelsr0   )rK  r  rJ  r  r4   upsample_common_check  s   

*rO  c                    sZ   t   dkpt  dd   fdd t  |dd} |jt	 dS )Nr   r/   c                      r  )Nz>Non-empty 3D data tensor expected but got a tensor with sizes r   r0   r  r0   r4   rc   *  r  z$upsample_nearest1d.<locals>.<lambda>rJ  r   
rT   rf   r   rG  r   rO  r   r  rO   r   )r   r  scalesfull_output_sizer0   r  r4   upsample_nearest1d$     


rT  c           	         s   t   dkpt  dd   fdd t  |dd} |}t } j	\}}}} j
jdkr?|dk r?t j}|j|d	}|S )
Nr   r/   c                      r  Nz>Non-empty 4D data tensor expected but got a tensor with sizes r   r0   r  r0   r4   rc   :  r  z$upsample_nearest2d.<locals>.<lambda>r   rP  r   r  r   )rT   rf   r   rG  r   rO  r   rO   r   r   r|   rt   r   
contiguous)	r   r  scales_hscales_wrS  r   r   rR   
n_channelsr0   r  r4   upsample_nearest2d4  s   



r[  r  r  rX  rY  c                    st   t ||dd tjdkfdd tdD ]t  k fdd q|jt	dS )Nr   rP  r  c                      r   NzFExpected grad_output to be a tensor of dimension 4 but got: dimension r  r0   r  r0   r4   rc   `  r   z-upsample_nearest2d_backward.<locals>.<lambda>c                
      &   d d   d d  S )NzCExpected grad_output to have the same shape as output; output.size() = z but got grad_output.size(r   r0   rS  r  r   r0   r4   rc   e  s   r   )
rO  rT   rf   r   r   r   r   r  rO   r   )r  r  r  rX  rY  r0   r_  r4   upsample_nearest2d_backwardN  s   

	r`  c                    sZ   t   dkpt  dd   fdd t  |dd} |jt	 dS )Nr   r/   c                      r  )Nz>Non-empty 5D data tensor expected but got a tensor with sizes r   r0   r  r0   r4   rc   w  r  z$upsample_nearest3d.<locals>.<lambda>r-   rP  r   rQ  )r   r  scales_drX  rY  rS  r0   r  r4   upsample_nearest3dq  rU  rb  c           
      C   s   t | t j| t jd}}|d urQ|d urQt|tsJ t|ts$J |j}| }	t||}t||}|||	 |||	 t	||d t	||d ||fS ||fS )Nr   )r2  r3  )
rT   r   r   rl   r   r   r   r   r   r    )
r   stabler   
descendingr   r   rF  r   r   
out_strider0   r0   r4   	meta_sort  s   	

rf  c                    s  t jdkfdd t jjkfdd dd urPt jdkfdd t  kfdd t jjkfdd t jdkfd	d d
   t   k fdd t tfddfD dd  d S )Nr   c                          j  dS Nz != 2r  r0   input_gatesr0   r4   rc     r   z%rnn_cell_checkSizes.<locals>.<lambda>c                         j  d j  S N != r  r0   )hidden_gatesrj  r0   r4   rc     r  r/   c                      rg  )Nz != 1r  r0   )
input_biasr0   r4   rc     r   c                      s      d  S rl  rr  r0   )
gates_sizero  r0   r4   rc     r  c                      rk  rl  r  r0   )hidden_biasro  r0   r4   rc     r  c                      rg  rh  r  r0   )prev_hiddenr0   r4   rc     r   r   c                
      s,      dd d d d  d
S )Nrm  r   z * z // z (aka rs   )r   r   r0   )expected_prev_hidden_numelfactorrp  rj  rr  r0   r4   rc     s   , c                 3   s    | ]	}|j  j kV  qd S r=   r~  rI   ri  r0   r4   ro     s
    

z&rnn_cell_checkSizes.<locals>.<genexpr>c                   S   ri   )Nz%expected all inputs to be same devicer0   r0   r0   r0   r4   rc     rk   )rT   rf   r   r   r   r   r6  )rj  rn  ro  rq  rt  rr  r0   )rs  rt  rp  rq  rn  ro  rj  rr  r4   rnn_cell_checkSizes  s8   





ru  c                 C   sL   t | |||d| tj| tjd}tj|tjd}tj|tjd}|||fS )Nr  r   )ru  rT   r   r   )rj  rn  cxro  rq  	workspacehycyr0   r0   r4   _thnn_fused_lstm_cell_meta  s
   
rz  c                 C   s(  t |dk}|rt |}|d }| jd }n|
r| jd n| jd }|
r)| jd n| jd }d}|r4dnd}|dkr<|n|}|rG||| g}n|
rP|||| gn|||| g}| |}|	| ||g}|d u rptjd| jd}n||}||	| ||g}|rdnd}| j|tjd}|||||fS )Nr   r/   r   r   r~  r   )r   r   r   rT   r   r|   r1  )r   r"  weight_stride0
weight_bufhxrv  r  hidden_size	proj_size
num_layersbatch_firstdropouttrainbidirectionalbatch_sizesdropout_stateis_input_packed
seq_length
mini_batchbatch_sizes_sumnum_directionsout_sizer   r   
cell_shapery  rx  reserve_shapereserver0   r0   r4   
_cudnn_rnn  s2   

r  c                 C   s   |r| j d n| j d }|r| j d n| j d }|
}|r!|||gn|||g}| |}|d u r8tjd| jd}n||j }|d u rKtjd| jd}n||j }tjd| jtjd}||||fS )Nr/   r   r~  r   )r   r   rT   r   r|   r1  )r   w0w1w2w3hx_cx_r   r  r  r~  r  
has_biasesr  r  r  r  r  output_chanelsr   r   rx  ry  rw  r0   r0   r4   mkldnn_rnn_layer  s    
r  c                    sT   | j dkrt dkp dk fdd d S t|  dk fdd d S )Nr   r   c                      r  )Nz4: Expected reduction dim -1 or 0 for scalar but got r0   r0   r   r  r0   r4   rc   7  r  z'zero_numel_check_dims.<locals>.<lambda>c                      r  )Nz: Expected reduction dim z to have non-zero size.r0   r0   r  r0   r4   rc   <  rd   )r   rT   r   r   )r   r   r  r0   r  r4   zero_numel_check_dims3  s   
r  c                    sF   |d urt || }t||  d S t| dk fdd d S )Nr   c                      rP  )Nz@: Expected reduction dim to be specified for input.numel() == 0.r0   r0   ri  r0   r4   rc   H  r  z%check_argmax_argmin.<locals>.<lambda>)r   r   r  rT   rf   r   )r  r   r   r0   ri  r4   check_argmax_argminA  s   

r  c                 C   sD   t d| | t| j|d ur|fnd }t| ||}| j|tjdS )Nargmaxr   )r  rO   re  r   rf  r   rT   r   )r   r   rh  r  r   r0   r0   r4   argmax_argmin_metaL  s   r  c                 C   s$   |t jkrt j}t jd||||dS )Nr0   r   )rT   jaggedrK  r   )r{  r\   r{   r|   r}   r0   r0   r4   scalar_tensorT  s
   

r  c                 C   s   t ||  dd}|  dkrdn| |}t|dk t||kdd  t| j}t|dkr6|||< | || j|tj	dfS )NTr7  r   r/   c                   S   ri   )Nzk not in range for dimensionr0   r0   r0   r0   r4   rc   f  rk   ztopk_meta.<locals>.<lambda>r   )
r   r   r   rT   rf   r   r   r   r   r   )r   r  r   largestr  	sliceSizetopKSizer0   r0   r4   	topk_meta`  s   
r  c           
      C   s@   |d us|d usJ d|  }|   }	tj||	j|	j|	jdS )Nz;segment_reduce(): Either lengths or offsets must be defined)r\   r|   r{   )rW  rT   r   r\   r|   r{   )
r  r   rV  rG  rQ  rR  rS  rU  data_contiggrad_contigr0   r0   r4   meta__segment_reduce_backwardn  s   r  c                    s   ddl m} t |  dd |  dkr|  nd}t||dk||k fdd t| jd   | j d d   }|rM|  dkrM|	 d | 
|| j
|tjdfS )	Nr   )r  Tr  r/   c                      r  )Nz9kthvalue(): selected number k out of range for dimension r0   r0   r   r0   r4   rc     r  zkthvalue_meta.<locals>.<lambda>r   )r  r  r   r   r   rT   rf   r   r   r  r   r   )r   r  r   rh  r  dimSizer   r0   r   r4   kthvalue_meta  s   
$r  c                 C   s   | d ur| n|}t | dkdd  | }| d ur(t |  |kdd  |d ur8t | |kdd  t | |kdd  t | |kdd  t | dkdd  t | |d	 |d
  d kdd  d S )Nr   c                   S   ri   N r0   r0   r0   r0   r4   rc     rk   z(checkLSTMBackwardSizes.<locals>.<lambda>c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   r   r/   r  c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   )rT   rf   r   r   r   )grad_hygrad_cyrv  ry  rw  defined_gradexp_sizer0   r0   r4   checkLSTMBackwardSizes  s   ,r  c           	      C   s`   | d u r
|d u r
dS t | |||| tj|td}tj|td}|r)|jdddnd }|||fS )NNNNr   r   F)rh  )r  rT   r   legacy_contiguous_memory_formatr<  )	r  r  rv  ry  rw  has_bias
grad_gatesgrad_cxr  r0   r0   r4   #_thnn_fused_lstm_cell_backward_impl  s   
r  c                 C   sf   d }d }d }|d r| |  }|d s|d r.| |d| df}| |d}|||fS )Nr   r/   r   r   r  )r  r  r  r  r  grad_weightr  r0   r0   r4   linear_backward  s   
r  c                    s   t jdkrjd ||  dksJ dj d| dd   fdd	}jd ||  }jd
 | }jd | }g jd d |||R }|}|j| d}|S )Nr   rs  r   z'Invalid input shape for pixel_shuffle: z with upscale_factor = c                 S   r	  r=   r
  r  r0   r0   r4   r    r  z,meta_pixel_shuffle.<locals>.is_channels_lastc                      sL    rt dkrtjS tjS jtjdrtjS jtjdr$tjS d S )Nr   r   )r   rT   r   r  r@  preserve_formatr0   r  r   r0   r4   r    s   z.meta_pixel_shuffle.<locals>.pick_memory_formatr  r   r   )r   r   r   r  )r   upscale_factorr  r  HrWrr   r   r0   r  r4   meta_pixel_shuffle  s   & 
r  c                 C   sZ   |  | j}| |j}| |j}| |j}| |j}| |j}|||||||fS r=   r*  )r   weight0weight1weight2weight3r  cx_tmpr   hy_cy_grad_output_r_optgrad_hy_r_optgrad_cy_r_optr   r  r~  r  r  r  r  r  r  rw  diff_xdiff_hxdiff_cxdiff_w1diff_w2diff_br0   r0   r4   mkldnn_rnn_layer_backward  s   r  )	out_int32r   c                C   s   t j| |rt jnt jt jdS )Nr\   r   )rT   r   r)  r   r   )r   
boundariesr  r   r0   r0   r4   meta_bucketize  s
   r  d   c                    s   dt dkrt fdd t dkr# r#td tt t fdd t dk fd	d tttfd
d tttfdd tkfdd tj	 j
jdS )Nzhistc()rz  c                      r  )Nz%"histogram_cpu" not implemented for 'r~  r   r0   r  r0   r4   rc     r  zmeta_histc.<locals>.<lambda>r   z%_histc_cuda with floating point inputc                      s    dt   S )Nz#: argument 'bins' must be int, not r   r0   binsr  r0   r4   rc     r  r   c                      r  )Nz: bins must be > 0, but got r0   r0   r  r0   r4   rc     r  c                           dt  S )Nz%: argument 'min' must be Number, not r   r0   )r  r   r0   r4   rc     r  c                      r  )Nz%: argument 'max' must be Number, not r   r0   )r  r  r0   r4   rc   #  r  c                      rP  )Nz: max must be larger than minr0   r0   )r  r0   r4   rc   %  r  r   )r   rT   rf   r   rO   r  rl   r   r   r   r|   r\   )r   r  r   r  r0   )r  r  r   r  r   r4   
meta_histc  s.   

r  c                    sd   t   |dd}t  dkptdd   dd  D  fdd  |jt	 d	S )
Nr   rP  r   c                 s   rL  rM  r0   )rJ   r   r0   r0   r4   ro   7  r1  z,meta_upsample_bimode2d_aa.<locals>.<genexpr>r/   c                      r  rV  r   r0   r  r0   r4   rc   8  r  z+meta_upsample_bimode2d_aa.<locals>.<lambda>r   )
rO  r   rT   rf   r   r6  r   r  rO   r   )r   r  r  rX  rY  rS  r0   r  r4   meta_upsample_bimode2d_aa)  s   

(

r  c                    st   t ||dd tjdkfdd tdD ]tj   k fdd q|jt	dS )Nr   rP  r  c                      r   r\  r  r0   r  r0   r4   rc   M  r   z4meta_upsample_bimode2d_aa_backward.<locals>.<lambda>c                
      r]  )NzD
Expected grad_output to have the same shape as output; output.size(r^  z
but got grad_output_size(r   r0   r_  r0   r4   rc   R  s    r   )
rO  rT   rf   r   r   r   r   r  rO   r   )r  r  r  r  rX  rY  r0   r_  r4   "meta_upsample_bimode2d_aa_backward?  s   	

r  c                 C   s\   t | dkdd  t | dkdd  t |jjdd  t |jjdd  d S )Nr/   c                   S   ri   )Nz%found_inf must be a 1-element tensor.r0   r0   r0   r0   r4   rc   _  rk   z<_amp_foreach_non_finite_check_and_unscale_.<locals>.<lambda>c                   S   ri   )Nz%inv_scale must be a 1-element tensor.r0   r0   r0   r0   r4   rc   b  rk   c                   S   ri   )Nz!found_inf must be a float tensor.r0   r0   r0   r0   r4   rc   f  rk   c                   S   ri   )Nz!inv_scale must be a float tensor.r0   r0   r0   r0   r4   rc   j  rk   )rT   rf   r   r\   r   )r   r  	inv_scaler0   r0   r4   *_amp_foreach_non_finite_check_and_unscale_\  s   r  c                 C   r  r=   r  )r   nanposinfneginfr0   r0   r4   
nan_to_numo  ra  r  c                 C   s   | j tjtjtjtjhvsJ d| j  d| j}t||}t||}||kr)| S t| 	 }t| 
 }|| || ||< ||< || || ||< ||< | || | S )Nz>torch.transpose_: in-place transposition is not supported for z layout)r{   rT   rL  
sparse_cscrM  
sparse_bscr   r   r   r   r   r   )r   dim0r  ndimsr   r   r0   r0   r4   rD  u  s&   	

rD  c                 C   sz   | j }| jr"|  }|  }|dkr|dks!J d| d| dn|  dks0J d| dt| d|dk r:dS dS )	Nr   r   zEt_ expects a tensor with <= 2 sparse and 0 dense dimensions, but got z sparse and z dense dimensionsz6t_ expects a tensor with <= 2 dimensions, but self is rZ  r/   )r   r$  r&  r'  r   rD  )r   r  r&  r'  r0   r0   r4   t_  s   
r  )r  r   sidesorterc                   s   t tjdkpjd d  jd d k fdd t d u p)jjkfdd t |dkp9| dd  |rCt jnt j}t t jrUt j |t j	dS t j
d	|jd
S )Nr/   r   c                      s   dt j dt  j S )Nztorch.searchsorted(): boundaries tensor should be 1 dimension or the first N-1 dimensions of boundaries tensor and input value tensor must match, but we got boundaries tensor z and input value tensor r   r   r0   )r   sorted_sequencer0   r4   rc     s
   z#meta_searchsorted.<locals>.<lambda>c                      s,   dt  j dd urt j S g  S )Nz[torch.searchsorted(): boundary and sorter must have the same size, but got boundary tensor z and got sorter tensor r  r0   )r  r  r0   r4   rc     s   r   c                   S   ri   )Nzetorch.searchsorted(): side and right can't be set to opposites, got side of left while right was Truer0   r0   r0   r0   r4   rc     rk   r  r0   r  )rT   rf   r   r   r)  r   rl   r
   r   r   r   r|   )r  r   r  r   r  r  r\   r0   )r   r  r  r4   meta_searchsorted  s&   
r  c                    s(   t  t jt jt jfv fdd d S )Nc                      r  )Nz/Unsupported input type encountered for isin(): r0   r0   r   r0   r4   rc     r  z3_check_for_unsupported_isin_dtype.<locals>.<lambda>)rT   rf   r  
complex128	complex64r   r0   r   r4   !_check_for_unsupported_isin_dtype  s   
r  c                 C   s   |  || df}|S )Nr   r  )r  r   num_weightsrv  r~  r  r0   r0   r4   meta_embedding_dense_backward  s   r  c                 C   s:   |	rt | ||||||||
|
S t| ||||||||
|
S r=   )r*   _embedding_bag_sparse_backward!meta_embedding_bag_dense_backward)r  r   rR  r  r  maximum_indicesr  r~  r  r  rq  rv  r0   r0   r4   meta_embedding_bag_backward  s2   r  c
                    sX   t  jt jt jt jt jfv  fdd |tkr t |d u  | 	df}
|
S )Nc                      r   )Nz$Unsupported input type encountered: r   r0   r  r0   r4   rc   $  r   z3meta_embedding_bag_dense_backward.<locals>.<lambda>r/   )
rT   rf   r\   r=  r>  r<  float64r|  r   r   )r  r   r  r  r  r  r~  r  rq  rv  index_grad_weightr0   r  r4   r    s   
r  c           
      C   s   |  d}t|tkdd  t|  dk t| dk | d}t| dk t| d|k | |f}	|	S )Nr/   c                   S   ri   )NzHembedding_bag_backward: per_sample_weights only supported for mode='sum'r0   r0   r0   r0   r4   rc   9  rk   z@meta_embedding_bag_per_sample_weights_backward.<locals>.<lambda>r   r   )r   rT   rf   r{  r   r   )
r  r"  r   rR  r  r  rv  embedding_featuresrB  r   r0   r0   r4   .meta_embedding_bag_per_sample_weights_backward,  s   


r  )assume_uniqueinvertc                C   sx   t t| tpt|tdd  t| tst j| |jd} t|ts*t j|| jd}t| j t|j t j| t j	dS )Nc                   S   ri   )Nz<At least one of elements and test_elements must be a Tensor.r0   r0   r0   r0   r4   rc   I  rk   zmeta_isin.<locals>.<lambda>r~  r   )
rT   rf   rl   r
   r  r|   r  r\   r   r  )elementstest_elementsr  r  r0   r0   r4   	meta_isinD  s   



r  r   c                 C   s4   t | dkdd  t|tjd\}}t j||dS )Nr   c                   S   ri   )Nz,polygamma(n, x) does not support negative n.r0   r0   r0   r0   r4   rc   Y  rk   z meta_polygamma.<locals>.<lambda>rn  r   )rT   rf   r   r   ro  r   )r   r   rR   rL   r0   r0   r4   meta_polygammaV  s   
r  c                 C   s   t d)Nz.Tensor.item() cannot be called on meta tensors)r  r   r0   r0   r4   meta_local_scalar_densea  s   r   c                 C   r  r=   r  r   r0   r0   r4   siluf  ra  r  c                 C   s    t | tjd\}}tj| |dS rm  )r   r   ro  rT   r   )r   rR   rL   r0   r0   r4   sigmoidl  s
   
r  c                 C   sp  |   dk}|  dk}|r:|r|d| d|dg}nVt|d|dkdd  | d|dg}n;|rWt|d| dkdd  | d|dg}nt| d|dkdd  | d| d|dg}|py| j}tjjrd	|j }|d | d | | }||kr|d | |dg}	n|dg}	tj||	|| j	d
}
|
S tj
||| j	d
}
|
S )Nr   r   r/   c                   S   ri   Nz matrix batch sizes have to matchr0   r0   r0   r0   r4   rc     rk   z2_create_grouped_mm_output_tensor.<locals>.<lambda>r   c                   S   ri   r  r0   r0   r0   r0   r4   rc     rk   c                   S   ri   )Nzbatched dimension has to matchr0   r0   r0   r0   r4   rc     rk   r  r  )r   r   rT   rf   r\   rq  r   itemsizer  r|   r   )r.  r0  offsr&  
mat1_is_2d
mat2_is_2dr  	alignmentsize_paddedre  r   r0   r0   r4    _create_grouped_mm_output_tensorv  s>   


r
  mat_amat_br  c	                    s  t d u d u kdd  d uod u}	|	r6t jjrt jnt j}
t j|
ko-j|
kfdd nt jt jkoCjt jkfdd t  dv oX dv fdd  dk} dk}|rp|st 	d	d	kd
d  |	rdd }dd }t |fdd t |fdd dd }|d |d d urd urt jt j
krȈjt j
kpӈjt jkoӈjt jkfdd jt jkojt jk d# fdd	}d ur|r|rjd nd}|dd| |dd| t |d u dd  |s|rLt d ufdd d urKt  dkfdd t jt jkfdd n
t d u d d  t |d u d!d  t |d u pk|t jkd"d  t|S )$Nc                   S   ri   )Nz,Either both scale factors are given, or noner0   r0   r0   r0   r4   rc     rk   z)_meta_grouped_mm_common.<locals>.<lambda>c                      r/  )Nz5Expected inputs of E4M3 FP8 type but got mat_a.dtype= and mat_b.dtype=r  r   r0   r  r  r0   r4   rc     rN   c                      r/  )Nz1Expected inputs of BF16 type but got mat_a.dtype=r  r  r   r0   r  r0   r4   rc     rN   )r   r-   c                      s   d    d   S )Nz3Multiplicands must be 2D or 3D but got mat_a.dim()=z and mat_b.dim()=r   r0   r  r0   r4   rc     r_  r   r   r  c                   S   ri   )Nz3contraction dimension of mat_a and mat_b must matchr0   r0   r0   r0   r4   rc     rk   c                 S   s    |   }|d dko|d dkS Nr  r/   r   rt  mat
mat_strider0   r0   r4   r       z-_meta_grouped_mm_common.<locals>.is_row_majorc                 S   s    |   }|d dko|d dkS r  rt  r  r0   r0   r4   r    r  z-_meta_grouped_mm_common.<locals>.is_col_majorc                         d   dd   S )NzNExpected mat_a tensor to be row major in the last two dimensions, got strides r  rt  r0   )r  r0   r4   rc     rN   c                      r  )NzQExpected mat_b tensor to be column major in the last two dimensions, got strides r  rt  r0   )r  r0   r4   rc     rN   c                    s     d  d  }  d  dkr:  tdj d  kr:t  | dk fdd d S   dkrd d  tdj  krdt d  | dk fdd d S tdfdd d S )	Nr/   r  r   c                      s   d d  d   dS )Nr`   stride along % dim to be multiple of 16 bytes, got r  r0   r0   end_dimmat_namer  r0   r4   rc     r  zF_meta_grouped_mm_common.<locals>.check_valid_strides.<locals>.<lambda>c                      s$   d d d  d d   dS )Nr`  r  r/   r  r  r0   r0   r  r0   r4   rc        $ Fc                      s   d d j  dS )NzInvalid strides/sizes, got z for strides and z for sizes.r  r0   r  r0   r4   rc     r  )r   element_sizer   r  r   rT   rf   )r  r  r  r0   )r  r  r  r  r4   check_valid_strides  s*   
z4_meta_grouped_mm_common.<locals>.check_valid_stridesr  r  c                      r/  )NzhFor FP8 scales must both be float32, or for MXFP8 both scales must be float8_e8m0fnu. Got scale_a.dtype=z and scale_b.dtype=r  r   r0   r  r0   r4   rc     rN   r/   c                    s    dkrQt fdd r(t    kfdd d S t  dkfdd tjd j  kfdd d S td	dkfd
d tjd jd kfdd rtjjd kfdd j\ }}d}t|| dt|dtjd  kojd  k fdd d S t  dkfdd tjd jd  kfdd d S )Nr   c                      r  )Nr`  z to be contiguous.r0   r0   
scale_namer0   r4   rc     r   z>_meta_grouped_mm_common.<locals>.check_scale.<locals>.<lambda>c                         d d j  dj  S )NzKFor MXFP8, scale must have same number of dimensions as target tensor, but  has mat.ndim= and scale.ndim=r  r0   r  r  r  r0   r4   rc         r/   c                         d d    dS )Nr`  z to be 1D tensor, but got 	D tensor.r   r0   r  r  r0   r4   rc     rN   r   c                      s(   d d j    dj d  dS )Nr`  z	 to have r  r   z
 elements.r  r0   )r  r  scale_multiplierr  
scaled_dimr0   r4   rc   !     ( r   c                      r  )Nr`  z( to be contiguous in the last dimension.r0   r0   r  r0   r4   rc   &  r   c                      s$   d d j d  dj d  dS )Nr`  z batch dimension to be r   , got r  r  r0   r"  r0   r4   rc   *  r  c                      r  )Nz0For MXFP8, 3d tensor should have 2d scales, but r   r!  r  r0   r"  r0   r4   rc   1  r#  r  r  rn  c                      s$   dj  d  d  dj  S )NzFor MXFP8, expected mat.shape=z to have scale shape of (,z), but got r  r0   )G	blocked_K	blocked_Nr  r  r0   r4   rc   ;  r  c                      r$  )Nr`  z to be 2D tensor, but got r%  r   r0   r&  r0   r4   rc   @  rN   c                      s(   d d j d   dj d  dS )Nr`  z non-batch dimension to be r/   r*  r  r  r0   )r  r  r  r(  r0   r4   rc   D  r)  )r   rT   rf   r@  r   r   r   r;   )r  r  r  r(  r'  rC  r  rO  )is_mxfp8)r,  r-  r.  r  r  r'  r  r(  r4   check_scale  s^   




z,_meta_grouped_mm_common.<locals>.check_scaler   r  r  c                   S   ri   )Nz:Scale result tensor provided, but it is not supported yet.r0   r0   r0   r0   r4   rc   O  rk   c                      s   d    d   dS )Nz/Offsets tensor not provided, but is needed for zD/zD multiplicand layouts.r   r0   r  r0   r4   rc   U  r#  c                      rY  )Nz.Offsets tensor must be 1D, but got offs.dim()=r  r   r0   r  r0   r4   rc   Z  rd   c                      r  )Nz7Offsets tensor must be integer (int32) tensor, but got r  r   r0   r1  r0   r4   rc   ^  r  c                   S   ri   )NzJOffsets tensor provided, but is not needed for 3D/3D multiplicand layouts.r0   r0   r0   r0   r4   rc   c  rk   c                   S   ri   )Nz2Bias tensor provided, but it is not supported yet.r0   r0   r0   r0   r4   rc   h  rk   c                   S   ri   )Nz4If output dtype provided, it must be torch.bfloat16.r0   r0   r0   r0   r4   rc   m  rk   rO  )rT   rf   rq  rr  r  r?  r\   r>  r   r   r<  r  r   r)  r
  )r  r  r  r  r  r$  r  r&  r  scaled	fp8_dtypemat_a_is_2dmat_b_is_2dr  r  r  r0  r'  r0   )r/  r  r  r  r  r  r4   _meta_grouped_mm_common  s   




	
=




r6  c              
   C   s   t | |d d ||d |dS )N)r  r  r  r$  r  r&  )r6  )r  r  r  r$  r&  r0   r0   r4   meta_grouped_mms  s   	r7  c	           	      C   s$   |pt j}t| ||||||||d	S )N)r  r  r  r$  r  r&  r  )rT   r>  r6  )	r  r  r  r  r  r$  r  r&  r  r0   r0   r4   meta_scaled_grouped_mm  s   
r8  r9   half_to_floatc                 C   sR   |r| j tjtjfv sJ tj| tjjd\}}|s|n|}tj| |tj	d}|S )Nrn  r  )
r\   rT   rV   r>  rO   r   r   rP   r   r   )r9   r   r9  computation_dtyperL   r?  r0   r0   r4   softmax  s   
r;  c              	      s  t td dkfdd | jttd }| t |kfdd tdd D r|| }tD ]9 d  d   dk r_|   |j    }d  dk rw| d|j  d   }q>| S td  }t|D ]1 t d d       d   }t |dk fd	d |	| qt j
|| j| j| jt| d
S )Nr   r   c                      r  )Nz1Length of pad must be even but instead it equals r]  r0   r  r0   r4   rc     r  z'_constant_pad_nd_meta.<locals>.<lambda>c                      s   dt  d  dS )Nz`Length of pad should be no more than twice the number of dimensions of the input. Pad length is z while the input has z dimensions.r]  r0   )l_inpr  r0   r4   rc     s
    c                 s   s$    | ]}t |tjo|d kV  qdS rM  )rl   rO   IntWithoutSymInt)rJ   r  r0   r0   r4   ro     s   " z(_constant_pad_nd_meta.<locals>.<genexpr>r/   c                	      s6   d    d  dd   d   d	S )NzThe input size z, plus negative padding r   r/   zG resulted in a negative output size, which is invalid. Check dimension z of your input.r0   r0   )r   r   l_diffr  pad_idxr0   r4   rc     s    
)r\   r|   r~   r   )rT   rf   r   r   r6  r   narrowr   r   r   r   r\   r|   r~   r   )r   r  r  l_padc_input	new_shapenew_dimr0   )r   r   r>  r<  r  r?  r4   _constant_pad_nd_meta  sP   
  rE  rv  r~  r  c           	      C   sx   |   dks
J d| j}|j}|jdkr|d f}n|jdkr)|d |d f}n	g ||d R }| j}| j||dS )Nr   z'weight' must be 2-Dr   r/   r   )r   r   r   r\   r   )	r"  r   rv  r~  r  weight_shapeindices_shaper   r&  r0   r0   r4   	embedding  s   	

rH  max_lengthspadding_valuec                 C   s\   t |dksJ t |dksJ |d jd d }|d }||g| jdd  R }| |S r  )r   r   r   )r   rR  rI  rJ  r  r   rC  r0   r0   r4   $meta__jagged_to_padded_dense_forward   s   
rK  c                 C      t | t dd }|S )Nc                 S   r  r  rS   r   ro  r   r0   r0   r4   _f   s   z)_create_unary_float_meta_func.<locals>._frF   r!   funcrN  r0   r0   r4   _create_unary_float_meta_func      rR  c                 C   s   | j s	|j s	|j rtd|  dkr| | j| dfS | d}| d}|d}| |||}|
rO|rC| |||}||fS | ||||}||fS | d}||fS )NzP_native_multi_head_attention fake implementation does not support nested tensorsr   r/   )	is_nestedr[  r   r   r   r   )ri  r   r  	embed_dimr  
qkv_weightqkv_biasproj_weight	proj_biasr  need_weightsaverage_attn_weights	mask_typer  T
output_dimr   attn_weightsr0   r0   r4    native_multi_head_attention_fake    s$   



r`  c                 C   rL  )Nc                 S   r  r  rM  r8   r0   r0   r4   rN  R   r  z*_create_binary_float_meta_func.<locals>._frO  rP  r0   r0   r4   _create_binary_float_meta_funcQ   rS  ra  c                    s<   t   fdd} j d}||_ttt||}|S )Nc                    s(    | g|R i |}t | j|j | S r=   r  )r   rQ   r  r   r@   r0   r4   _fnv   s   z#_register_inplace_meta.<locals>._fnrR   )r   ru   rF   getattrr*   )rA   rb  inplace_namer0   r@   r4   _register_inplace_metau   s   re  c                    sr   t j jk fdd  g}ttr1jdkr,t jjkfdd | t|dtj	iS )Nc                      r  )Nr  z for `end`, but got dtype r   r0   )rv   rw   r0   r4   rc      r  zlerp.<locals>.<lambda>r   c                      rZ  )Nr  z for `weight`, but got dtype r   r0   )rw   r"  r0   r4   rc      r  rG   )
rT   rf   r\   rl   r   r   r   rS   r   rP   )rw   rv   r"  rQ   r0   )rv   rw   r"  r4   lerp   s"   




rf  )r  c                C   s   t | ||tjdS r  r  r   tensor1tensor2r  r0   r0   r4   addcmul   s   
rj  c                C   s8   t t|jot|j dd  t| ||tjdS )Nc                   S   ri   )N)zFInteger division with addcdiv is no longer supported, and in a future zErelease addcdiv will perform a true division of tensor1 and tensor2. z4The historic addcdiv behavior can be implemented as zA(input + value * torch.trunc(tensor1 / tensor2)).to(input.dtype) zfor integer inputs and as z6(input + value * tensor1 / tensor2) for float inputs. z?The future addcdiv behavior is just the latter implementation: z4(input + value * tensor1 / tensor2), for all dtypes.r0   r0   r0   r0   r4   rc      rk   zaddcdiv.<locals>.<lambda>r  )rT   rf   rO   r  r\   rS   r   rP   rg  r0   r0   r4   addcdiv   s   

rk  c                  C   s4  i } dD ]}t | }|D ]}|| vr|| | |< qq|  D ]y\}}t|tjjr*qt|ts1J |tjj	j
| tj| drR|t d v rQt| dq|jrVq| dv r]qd| v rjt|| qd| v rwt|| qd| v rt|| qd	| v rt|| qt|| qd S )
N)ry   post_autogradpre_autogradCompositeImplicitAutogradry   z is a CompositeImplicitAutograd op, we shouldn't register meta function for it. Instead, we should let the decomposition run and write meta kernels for the base operators.>   aten::cloneaten::copy_aten::rot90aten::_to_copyaten::empty_stridedaten::constant_pad_ndaten::as_strided_scatterzmkldnn::zmkl::zonednn::zquantized::)r   itemsrl   rT   _opsHigherOrderOperatorr   py_impl_CDispatchKeyr,   %_dispatch_has_kernel_for_dispatch_keyr  r  is_view2_meta_lib_dont_use_me_use_register_meta_for_mkldnnimpl/_meta_lib_dont_use_me_use_register_meta_for_mkl2_meta_lib_dont_use_me_use_register_meta_for_onednn5_meta_lib_dont_use_me_use_register_meta_for_quantized'_meta_lib_dont_use_me_use_register_meta)activate_meta_tablert   registryopoop_overloadrA   r0   r0   r4   activate_meta   sN   r  r   r  r=   )NNNFr   r/   r   r  )Tr  )r  )r  T)FF)TT)r  )FTN)TFF)TF)r   )r  N)r<   r  )r0   r   rO  F)r0   r   FTN)Fr   FNFr   )NF)r   F)r  r  FN)NNNNN)r   NNr/   )NNF)rh  FFN)Nrh  FFN)rh  FNN)Nrh  FNN)rh  FN)FN)FNNNN)NNNF)NNNNF)Nr   FNN)NNNN)r   TT)NNr   N)r  r   r   )r   )r   FF)rh  )NTTN(  rh  collections.abcr   r   enumr   	functoolsr   typingr   typing_extensionsr   rT   torch._prims_commonr  rO   r   r	   r
   torch._decompr   r   r   r   
torch._opsr   torch._primsr   r   r   r   r   r   r   r   r   r   r   r   r   torch._prims_common.wrappersr   r   r   r    r!   r  r"   r#   torch.fx.experimentalr$   r  torch.nn.functionalr%   r&   torch.utilsr'   rC   r(   r)   opsr*   libraryLibraryr  r   r{  r}  r|  r5   r;   rF   rS   r^   rh   linspacelogspacerK  r   taker  r   r   r   r   cummaxcumminr   r   r   r   r   r  r   _fft_c2cr   r   r   _fft_r2cr   randpermgenerator_outr   r   r  randintr  r  low_outr  randr	  _fft_c2rr  rr  r  r  
unsqueeze_r!  _sparse_semi_structured_linearr  r\   r-  _sparse_semi_structured_mmr2  _sparse_semi_structured_addmmr5  _cslt_sparse_mmrD  index_reducerK  index_reduce_rM  index_selectrP  segment_reducer\  r  	unary_outr`  r   ri  r   rk  rl  rs  rp  rt  _assert_asyncrw  msgrz  _printr|  _make_dep_tokenr  r  _functional_sym_constrain_ranger  r  (_functional_sym_constrain_range_for_sizer  _functional_assert_asyncr  r   r  r   r  r  r  r  _linalg_eighr  r  _linalg_eigvalslinalg_eigvalsr  
linalg_eigr  r  r  r  r  r  r  r  linalg_inv_exr  linalg_ldl_factor_exre   r  linalg_ldl_solver  	linalg_lur  linalg_lu_factor_exr  linalg_lu_solver  	lu_unpackr  r  	linalg_qrr  r  r  _linalg_svdr!  r  r  r.  rA  linalg_solve_triangularrG  rJ  rR  _linalg_detrT  r\  re  ru  reflection_pad1drz  replication_pad1dr  r  reflection_pad1d_backwardr  replication_pad1d_backwardr  r  reflection_pad2dr  replication_pad2dr  _weight_norm_interface_backwardr  reflection_pad2d_backwardr  replication_pad2d_backwardr  r  reflection_pad3dr  replication_pad3dr  reflection_pad3d_backwardreplication_pad3d_backwardr  _pdist_forwardrX   r  _pdist_backwardr  baddbmmr  	bernoullir  
bernoulli_r  r  r  poissonr  _fused_moving_avg_obs_fq_helperr  mmr  rf  r   r  r  miopen_batch_normr  convolutionr!  rz  _has_mkldnnr~  r"  _convolution_pointwiser(  _linear_pointwiser+  has_mklr  r,  _mkl_linearr/  r  r0  qconv2d_pointwiseqconv_pointwiser  r;  binarybinary_tensorrD  qlinear_pointwiserH  rL  linear_dynamic_fp16linear_relu_dynamic_fp16rM  r  rN  
max_pool2drX  int4mm_packed_weight_cpura  re  
avg_pool2dr  r  avg_pool2d_backwardr  
avg_pool3dr  avg_pool3d_backwardr  _adaptive_avg_pool2dr  _adaptive_avg_pool3dr  _adaptive_avg_pool2d_backwardr  _adaptive_avg_pool3d_backwardr  r  adaptive_max_pool2dr  r  r  adaptive_max_pool3dr  r  r  repeat_interleaver  rm   r  r  r  r   _unsafe_indexr  convolution_backwardr  addbmmr  randint_liker  _fused_adam__fused_adamw_r  _fused_adamr  _int_mmr  _convert_weight_to_int4packr  #_convert_weight_to_int4pack_for_cpur  _weight_int4pack_mmr!  _weight_int4pack_mm_for_cpur#  r'  r(  rH  _dyn_quant_pack_4bit_weightrS  _dyn_quant_matmul_4bitrW  _weight_int8pack_mmrY  _cdist_forwardrf  _cdist_backwardro  _embedding_bagr  _embedding_bag_forward_onlyr  r  nansumr  median	nanmedianr  
dim_valuesr  r   r  logical_not_r  repeatr  zero_r  mul_Scalardiv_logical_and_logical_or_logical_xor_r  add_sub_r  rK  subr  rounddecimalsr  r  
__rshift__r  
__lshift__r  zeror  r)  r  fillr  relu_r  	_add_relur  rrelu_with_noiser  rrelu_with_noise_functionalr  rrelu_with_noise_r  	index_put_unsafe_index_putr  masked_fill_r  _masked_scaler  masked_scatter_r  masked_scatterr  masked_scatter_backwardr  
index_put_r  r  bmmr  r  r  r  rw  rx  r  r  r  rR   max_pool2d_with_indices_backwardr  max_pool2d_with_indicesr  fractional_max_pool2dr  max_pool3d_with_indicesr   max_pool3d_with_indices_backwardr  r  r  r  grid_sampler_2d_backwardr  r  r   r"  rj  onesr.  zerosr0  select_scatterr3  slice_scatterr5  r   r8  r>  gatherrB  rO  rT  rU  r[  r]  scatter_addra  scatter_add_rc  r\  r  r  rG  value_reducerf  scatter_rg  #_scaled_dot_product_flash_attentionr~  r  #_scaled_dot_product_cudnn_attentionr  0_scaled_dot_product_fused_attention_overrideabler  ,_scaled_dot_product_flash_attention_backwardr  +_scaled_dot_product_flash_attention_for_cpur  4_scaled_dot_product_flash_attention_for_cpu_backwardr  *_scaled_dot_product_attention_math_for_mpsr  '_scaled_dot_product_efficient_attentionr  0_scaled_dot_product_efficient_attention_backwardr  ,_scaled_dot_product_cudnn_attention_backwardr  _flash_attention_forwardr  _flash_attention_backwardr  _efficient_attention_forwardr  _efficient_attention_backwardSymIntr  r  
_scaled_mmr  r;  _scaled_mm_v2r=  scatter_reducetwotwo_outr@  scatter_reduce_rA  multinomialrD  rG  rO  rT  _upsample_nearest_exact1dr[  _upsample_nearest_exact2dr`  "_upsample_nearest_exact2d_backwardrb  _upsample_nearest_exact3dr   rc  values_stablerf  ru  _thnn_fused_lstm_cellrz  r  r  r  r  r  argminr  r  topkr  _segment_reduce_backwardr  kthvaluer  r   r  r  r  r  pixel_shuffler  r  	bucketize
Tensor_outr  histcr  _upsample_bilinear2d_aa_upsample_bicubic2d_aar   _upsample_bilinear2d_aa_backwardr  r  r  rD  r  searchsortedr  r  embedding_dense_backwardr  _embedding_bag_backwardr  _embedding_bag_dense_backwardr  *_embedding_bag_per_sample_weights_backwardr  isinr  	polygammar  _local_scalar_denser   r  r  r
  r6  _grouped_mmr7  _scaled_grouped_mmr8  _softmaxr;  constant_pad_ndrE  rH  _jagged_to_padded_dense_forwardrK  rR  _native_multi_head_attentionr`  ra  special_airy_aispecial_bessel_y0special_bessel_y1special_modified_bessel_i0special_modified_bessel_i1special_modified_bessel_k0special_modified_bessel_k1!special_scaled_modified_bessel_k0!special_scaled_modified_bessel_k1special_chebyshev_polynomial_tspecial_chebyshev_polynomial_uspecial_chebyshev_polynomial_vspecial_chebyshev_polynomial_w&special_shifted_chebyshev_polynomial_t&special_shifted_chebyshev_polynomial_u&special_shifted_chebyshev_polynomial_v&special_shifted_chebyshev_polynomial_wspecial_hermite_polynomial_hspecial_hermite_polynomial_hespecial_laguerre_polynomial_lspecial_legendre_polynomial_pre  rf  rj  rk  lerp_addcmul_addcdiv_torch._refs.nn.functionaltorch._refs.specialr  r0   r0   r0   r4   <module>   s  4(
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