
    VhD                    <h   d dl Z d dlZd dlZd dlZd dlZd dlZd dlZd dlmZm	Z	 d dl
mZ d dlmZmZmZmZ d dlmZmZmZmZmZmZ d dlZd dlmZ d dlmZ d dlmc 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.m/Z/m0Z0m1Z1m2Z2m3Z3m4Z4m5Z5m6Z6m7Z7m8Z8 d dl9m:Z:m;Z;m<Z<m=Z=m>Z>m?Z? g d	Z@ej                  ZAej                  j                  ZCej                  j                  j                  ZFd
 ZGd ZHd ZIdddZJd dlKmLZL  eM       ZNeNddddefdZOd ZPd ZQ eOe*j                  d      d        ZS eOe*j                        d        ZU eOe*j                        d        ZV eOe*j                        d        ZW eOe*j                        d        ZX eOe*j                        d        ZY eOe*j                        d        ZZ eOe*j                        d        Z\ eOe*j                  d      d         Z] eLeFj                        d!e6fd"       Z^ eLeFj                         e?       d!e6fd#              Z_ eOe*j                        d$        Z` eOe*j                        d%        Za eOe*j                        d&        Zb eOe*j                        d'        Zc eOe*j                        d(        Zd eOe*j                        d)        Ze eOe*j                        d*        Zf eOe*j                        d+        Zg eOe*j                        d,        Zh e?        e=d-e*j                  .      d/e6d0e0de6fd1              Zjd/e6d0e0de6fd2Zk eLeFj                         e?       d!e6de6fd3              Zl eOe*j                  d      d4        Zm eOe*j                  d      d5e6de6fd6       Znd/e6de6fd7Zo eOe*j                  d8      d/e6de6fd9       Zq eOe*j                        d/e6de6fd:       Zr eOe*j                  d      d/e6de6fd;       Zs eOe*j                  d      d/e6de6fd<       Zt eOe*j                        d/e6de6fd=       Zu ePej                  j                  d>      Zx eOe*j                  d8      d/e6de6fd?       Zy eOe*j                  eFj                  8      d@        Zz eOe*j                        dA        Z{ eOe*j                        dB        Z| eOe*j                        dC        Z} eOe*j                        dD        Z~ eOe*j                        dE        Z e?       	 dd/e6dFedGeej                     de6fdH       Z eLeFj                         e?        e=dIe*j                  .      	 ddJe6dFe(dKede6fdL                     Z eLeFj
                         e?       	 	 	 dd/e6dMee0   dNee0   dOee0   de6f
dP              Zd/e6fdQZ eOe*j                  eR      dS        Zd/e6de6fdTZd/e6de6fdUZ eOe*j                        dV        Z eLeFj                         e?        e=dWe*j                  .      d dXd/e6dYede6fdZ                     Z eOe*j                        d[        Z eOe*j                        d/e6de6fd\       Z eOe*j                  d      d]        Z eOe*j                  d      d^        Z eOe*j                  d      d_        Z eOe*j                        d`        Z eOe*j                        da        Z eOe*j                        db        Z eOe*j                        dc        Z eOe*j*                  d8      d/e6de6fdd       Z eOe*j                        de        Z eOe*j                        df        Z eOe*j                  d      dg        ZdJe6de6fdhZeNddddddfdefdiZ eLeFj8                         e?        e=dje*j                  .      ddkd/ee6e0f   dlee6e0f   dmee0   fdn                     Z ee*j                  ddo      dp        Z ee*j                  q      d/e6dle6de6fdr       Z ee*j                  q      d/e6dle6de6fds       Z ee*j                  q      d/e6dle6de6fdt       Z ee*j                  q      d/e6dle6de6fdu       Z ee*j                  q      d/e6dle6de6fdv       Z ee*j                  dw      d/ee6e0f   dlee6e0f   fdx       Z eLeFjH                         e?       ddyd/ee6e0f   dlee6e0f   dzee   fd{              Z ee*j                  dw      d/e6dle6de6fd|       Z ee*j*                  q      d/ee6e0f   dlee6e0f   de6fd}       Z e?       d/ee6e0f   dlee6e0f   deAfd~       Z eejT                  j                  dd      d/ee6e0f   dlee6e0f   fd       Zd/eAdleAdeAfdZd/eAdleAdeAfdZ ee*j                  ddo      d/e6dle6de6fd       Z ee*j                  ddo      d/e6dle6de6fd       Z ee*j                  ddo      d/e6dle6de6fd       Z eLeFj^                         e?dd      dJe6dee6e6f   fd              Z ee*j                  ddo      d/e6dle6de6fd       Z ee*j                  dw      d/e6dle6de6fd       Z ee*j                  dw      d/e6dle6de6fd       Z ee*j                  ddo      d!e6de6de6fd       Z ee*j                  ddo      d/e6dle6de6fd       Z ee*j                  ddo      d/e6dle6de6fd       Z ee*j                  ddo      d/e6dle6de6fd       Zded/e6dle6dededdfdZ	 	 	 dd/e6dle6dededede6fdZ ee*j                  ddo      d/e6dle6fd       Z ee*j                  dw      d/e6dle6de6fd       Z ee*j                  ddo      d/e6dle6de6fd       Z ee*j                  ddo      d/e6dle6de6fd       Z ee*j                  q      d/e6dle6fd       Z eOe*j                        d/e6fd       Z ee*j                  q      d/e6dle6fd       Z ee*j                  q      d/e6dle6fd       Z ee*j                  dw      d/e6dle6de6fd       Z ee*j                  q      d/e6dle6de6fd       Z ee*j                  q      d/e6dle6de6fd       Z ee*j                  d      d/e6dle6de6fd       Z ee*j                  dw      d/e6dle6de6fd       Z ee*j                  ddo      d/e6dle6de6fd       Z ee*j                  q      d/e6dle6de6fd       Z eLeFj                         e?       	 dd/ee6e0f   dlee6e0f   dme0fd              Z eLeFj                         e?        e=dje*j                  .      ddkd/ee6e0f   dlee6e0f   dme0fd                     Z ee*j                  ddd      d/e6dle6de6fd       Z eLeFj                         e?        e=dje*j                  .      d/ee6e0f   dlee6e0f   fd                     Z eejT                  j                  dd      d/ee6e0f   dlee6e0f   fd       Z eLeFj                         e?        e=de*j                  .      dddJe6de6de6d0e0de6f
d                     Z eLeFj                         e?        e=de*j                  .      dddJe6de6de6d0e0de6f
d                     Z eLeFj                         e?        e=de*j                  .      	 	 dd/e6dee7   dee7   de6fd                     Z eLeFj                         e?       	 ddJe6dee7   de6fd              Z eLeFj                         e?       	 ddJe6dee7   de6fd              Z eLeFj                         e?        e=dje*j                  .      	 	 ddeAd/ee7   dlee7   fd                     Z eLeFj                         e?       ej                  dd/e6dej                  de6fd              Zddd/eAdleAfdZ eLeFj                        d/e6de0fdÄ       Z	 	 	 	 	 	 	 dd/e6dee%   dGeej                     dee   deej                     deej                     dee   dedefdɄZedʄ        Zeܐj                  	 	 	 ddej                  dGej                  dededeej                     deeef   fd˄       Zeܐj                  	 	 	 ddedGej                  dededeej                     deeef   fd̄       Zeܐj                  	 	 	 ddGej                  dededeej                     deeef   f
d̈́       Zeܐj                  	 	 	 ddeAdededeej                     deeef   f
dτ       Zd/eAdefdфZd/e6de6fd҄ZdddddddӜd/e6dedededee(   dedGeej                     deeA   de2de6fdۄZd܄ Z eLeFj                         e?       	 	 dd/e6dFee(   dKede6fd݄              Z eLeFj                         e?       	 	 dd/e6dFee(   dKede6fdބ              Z eLeFj                  j                  eFj                  j                  g      	 	 ddddߜd/e6dFeee   eee      f   dKedGeej                     deeA   de6fd       Zd/eAdeAfdZ eLeFj                        	 	 ddddߜd/e6dFeee   eee      f   dKedeeA   de6f
d       Z eLeFj                        	 	 dddd/e6dFee(   dKedeeA   de6f
d       Z eLeFj                        	 	 dddd/e6dFee(   dKedeeA   de6f
d       ZddZ eLeFj                         e?       	 	 	 dddd/e6dFee(   dee   dKedee0   de6fd              Z eLeFj                         e?       	 	 	 dddd/e6dFeee   eee      f   dee   dKedee0   de6fd              Z eLeFj                        	 	 ddddߜd/e6dFee(   dKede6fd       Z eLeFj                         e?dd      	 dddddd/e6dFee(   dee   dKedee0   f
d              Z eLeFj                         e?dd      	 	 	 dddd/e6dFee(   dee   dKedee0   f
d              Z eLeFj                         e?        e=de*j                  .      ddddJe6de6de6de0dme0de6fd                     Zdee6e	e6   f   de6dee6ee6df   f   fdZdedFede6de6fdZdee6e	e6   f   de6dee6ee6df   f   fdZdee6e	e6   f   de6dee6ee6df   f   fdZ	 dd/e6d e3de4dee   de6f
dZ eLeFj                         e?       	 dd!e6de6d e3de4dee   de6fd              Zde3fdZeFj                   j                  j                  eCj                        eFj                   j                  j                  eCj                        dee6   fd              Z d/e6d e3de6fdZ eLeFj                         e?        e=d	e*j                  .      dd
e8dFede6fd                     Z e?       d
e8de6fd       Zd!e6de6fdZ eLeFj                         e?       	 dd!e6dee   d0e0de6fd              Z	ej                  dd/eAdej                  deAfdZ e?       d
e8de6fd       Z eLeFj                        d/eAdeAfd       Zd/eAdleAdeAfdZdd/e6dedFedee6df   fdZdd/e6dedede6fdZ eLeFj"                         e?       d/e6de'de6fd              Zd/e6de6fdZd/e6de6fdZd/e6dFedeee6f   dede6f
dZd/eAde(d edeeAeAeAf   fd!Zd5e6d"ee   de6fd#Z eLeFj.                  j                        d!eAd$eeA   d%eeA   d&ed'ed(ed)ed edeeAeAeAf   fd*       Z eLeFj0                         e?ddd+      d!eAd,e3d$eeA   d%eeA   d edeeAeAeAf   fd-              Zej2                  j4                  j7                  eFj0                  j                        d.        Z eLeFj:                        d/e6de6fd/       Z eLeFj<                         e?       d!e6d0e1dFed1e1de6f
d2              ZeFj>                  j@                  j                  eCj                        	 	 	 	 	 	 	 	 	 dd!eAd3ed4ee   d5ee   d6eeA   d7ed8ed9ed:ee   d;ee   d<ee   deAfd=       ZeFjB                  j                  j                  eCj                        	 	 	 	 	 	 	 	 dd!eAd3ed4ee   d5ee   d6eeA   d7ed9ed:ee   dee   deAfd>       Z!d?e3d@e4dAed edBef
dCZ" eLeFjF                         e?       d/eAdeAfdD              Z#d/e6dEede6fdFZ$d/e6dGe3de6fdHZ%dJe6de6de6fdIZ& eLeFjN                         e?       dd/e6dJe(de(de6fdK              Z' eLeFjP                         e?       	 dd/e6dMede'de6fdN              Z(d
e8ddfdOZ) eLeFjT                         e?       dd
e8dFede6fdP              Z* e?       	 dd/e6dFedGeej                     de6fdQ       Z+ e?       d
e8de6fdR       Z, e?       d
e8de6fdS       Z-d/e6dFedTe3de6fdUZ. eLeFj^                        ddVe6dFede8fdW       Z/ e?       d5e5dFedXe5dYe5fdZ       Z0d5e5dFedXe5dYe5fd[Z1 eLeFjd                         e?       d5e5dFedXe5d0ee0e5f   fd\              Z2 eLeFjf                        d5e5dFedXe5d0ee0e5f   fd]       Z3d5e5dFedXe5d0ee0e5f   d^ef
d_Z4 e?       ddkd5e5dFedXe5dYe5dme0f
d`       Z5 eLeFjl                         e?       d5e5dFedXe5fda              Z6 eLeFjn                  jp                        dd/e6dFee(   de6fdb       Z7 eLeFjr                        	 ddJeAdcee   dFedeeA   fdd       Z9	 dd/e6deeeAe(f   dFedee6df   fdfZ:d/e6dee(dee6df   fdgZ;d/e6dee(dee6df   fdhZ< eLeFjz                  j|                         e?       	 ddJe6diede6fdj              Z= eLeFj~                         e?       	 	 	 dd!e6de6diedkedlede6fdm              Z? eLeFj                        	 	 	 ddJe6diedkedlede6f
dn       Z@ eLeFj                         e?       	 	 	 ddVe6diedkedlede6f
do              ZA eLeFj                         e?       d
ee6   de6fdp              ZCd
ee6   de6fdqZBd/e6dre(de8fdsZD eLeFj                  j                        d/e6fdt       ZEd/e6de6fduZF eLeFj                        d/e6de6fdv       ZG eLeFj                        d/e6dwedkede6fdx       ZHeHZI eLeFj                        dJe6dAed edBede6f
dy       ZJ eLeFj                         e?       dJe6dAed edBefdz              ZKdddߜd/e6dFedGeej                     deeA   de6f
d{ZL eLeFj                        dddߜd/e6dFedGeej                     deeA   de6f
d|       ZM eLeFj                        dddߜd/e6dFedGeej                     deeA   de6f
d}       ZN eLeFj                        d/e6dFede6fd~       ZO eLeFj                  j                        d/e6dGe3de6fd       ZPdJe6de6de6fdZQd/e6de6fdZR e?       	 dd/ej                  dej                  dFee   dej                  fd       ZS e?       dej                  dddej                  ddGeej                     dej                  dee%   dededej                  de6fd       ZU e?       dej                  dddfdGeej                     dej                  dee%   dedede6fd       ZV eLeFj                         e?       dddddd/e6d e3dGeej                     deej                     dee%   dede6fd              ZW eLeFj                         e?       dddddd/e6d e3de4dGeej                     deej                     dee%   dede6fd              ZX eLeFj                  j                         e?       dej                  dddddGeej                     dej                  dee%   dedede6fd              ZY eLeFj                         e?       ddddddd/e6d e3dGeej                     deej                     dee%   dedede6fd              ZZ eLeFj                  j                         e?       dej                  dddddGeej                     dej                  dee%   dedede6fd              Z[ eLeFj                         e?       ddddddd/e6d e3dGeej                     deej                     dee%   dedede6fd              Z\ eLeFj                         e?       dddddd/e6d e3de0dGeej                     deej                     dee%   dede6fd              Z] eLeFj                         e?       dddddej                  dd/e6dGeej                     dee%   deej                     dededej                  de6fd              Z^ eLeFj                  j                  eFj                  j                  g       e?       	 	 	 ddej                  ddddde0dee0   dBe0dGeej                     dej                  dee%   dedede6fd              Z_ eLeFj                         e?        e=de*j                  .      deAdeAd$eeAe0f   fd                     Zb eLeFj                         e?       ddej                  ddddee0e6f   dee0e6f   de0dGeej                     dee%   dej                  dedede6fd              Zc eLeFj                         e?       	 dddej                  ddddee0e6f   dee0e6f   de0de0dGeej                     dee%   dej                  dedede6fd              Zded
e	e6   defd       Zeed
e6defd       Ze eLeFj                        d
ee6ee6   ee6   f   dedee6   fd       Zed!e6deee'f   deee'f   de6fdZf eLeFj                         e?       ddej                  ddddGee3ee3   f   de4dGeej                     dee%   dej                  dedede6fd              Zg eLeFj                         e?       	 ddej                  dddddedee   dGeej                     dej                  dee%   dedede6fd              Zh eLeFj                  j                  eFj                  j|                  g       e?       dej                  dddddGe3de0dGeej                     dej                  dee%   dedede6fd              Zidddddej                  dd/e6de0dGeej                     deej                     dee%   dededej                  de6fdZj eLeFj                         e?       dddddej                  dd/e6dGeej                     deej                     dee%   dededej                  de6fd              Zk eLeFj                         e?       dddddej                  dd/e6dGeej                     deej                     dee%   dededej                  de6fd              Zl eLeFj                  j                         e?       dddddddGeej                     dee%   deej                     dedede6fd              Zmdej                  dddd/e0dGeej                     dej                  dee%   dede6fdZn	 	 ddGe3deeeef   deeeef   dGej                  de%de6fdZo eLeFj                         e?       d/e6de6d0e7fd              Zp eLeFj                        d/e6de6d0e7de6fd       Zq	 	 	 dd/e6dle6dedededefdZrd/e6dle6defdZs eLeFj                         e?d      	 	 	 dddd!e6d0eeeef      dFee(   dKedGeej                     de6fd              Zt eLeFj                         e?       dJe6de6fd              Zud Zv eve̫      Zw eve      Zx eve      Zy eLeFj                         e?       dd/e6dede6fd              Zz eLeFj                         e?       dd/e6dede6fd              Z{dedediedeeeef   fdZ|dedededGej                  dej                  defdÄZ} eLeFj                         e?       	 dej                  ej                  ddddedediedGej                  dej                  de%dede6fdń              Z~dedediedeeeef   fdƄZ eLeFj                         e?       	 dej                  ej                  ddddedediedGej                  dej                  de%dede6fdǄ              Z eLeFj                         e?d      dddȜd/e7de6dedefd̄              Z eLeFj                         e?        e=dIe*j                  .      dd̈́                     Z eLeFj                         e?        e=dIe*j                  .      dd΄                     Z eLeFj
                         e?        e=dIe*j                  .      ddτ                     Z eLeFj                         e?        e=dIe*j                  .      d dЄ                     Z eLeFj                         e?        e=de*j                  .      	 	 	 dddddddҜdӄ                     Z eLeFj                        dLddԜdՄ       Z eOe*j                        dJe6fdք       Z eOe*j                        dJe6fdׄ       Z eLeFj                         e?       ddFee(   fd؄              Zdل Zdڄ Z eLeFj                         e?       e e=de*j                  .      d܄                             Z eLeFj                         e?       e e=de*j                  .      d݄                             Z eLeFj                          e?       d5e6de6dFedXefdބ              Z eQeS      Z eQeU      Z eQeV      Z eQe      Z eQeЫ      Z eQeϫ      Z eQeW      Z eQeX      Z eQeY      Z eQeZ      Z eQe      Z eQe      Z eQe      Z eQe\      Z eQe      Z eQe      Z eQe      Z eQe]      Z eQeѫ      Z eQeҫ      Z eQeӫ      Z eQe_      Z eQe      Z eQe`      Z eQea      Z eQeM      Z eQeN      Z eQe      Z eQeb      Z eQe      Z eQe      Z eQec      Z eQee      Z eQed      Z eQef      Z eQeh      Z eQeg      Z eQe      Z eQem      Z eQe      Z eQe      Z eQen      Z eQe      Z eQe      Z eQe      Z eQe      Z eQe      Z eQe      Z eQe      Z eQez      Z eQe      Z eQe      Z eQeb      Z eQe{      Z eQe      Z eQe}      Z eQe~      Z eQe|      Z eQe      Z eQe      Z eQe      Z eQe«      Z eQeë      Z eQeƫ      Z eQex      Z eQe      Z eQeǫ      Z eQe      Z eQeȫ      Z eQe      Z eQe      Z eQe      Z eQeɫ      Z eQe      Z eQe      Z eQe      Z eQe      Z eQe      Z eQe      Z eQe      Z eQe      Z eQe      Z eQe˫      Z eQe      Z eQe      Z eQe{      Z eQez      Z eQe̫      Z eQe      Z eQeͫ      Z eQe      Z eQe      Z eQe      Z eQe      Z eQel      Z eeFj                        Z eeFj                        Z eeFj                        Z eeFj                        Z eeFj(                        Z eeFjn                        Z eeFj:                        Z eeFj                        Z eeFj                        Z eeFj^                        Z eeFj                        Z eeFj                        Zd߄ Zd Zd Zdej                  dee7e8f   fdZ	 ddZ ddddddZd dlZd dlZd dlZd dlZd dlZy(      N)IterableSequence)Enum)partialreducesingledispatchwraps)AnyCallablecastOptionaloverloadUnion)	sym_floatsym_int)BoolLikeDeviceLikeTypeDimDimsSequenceTypeDimsTypedtype_to_typeELEMENTWISE_TYPE_PROMOTION_KIND	FloatLikeFloatWithoutSymFloatIntLikeis_weakly_lesser_typeNumber
NumberTypeRealNumberTypeREDUCTION_OUTPUT_TYPE_KIND	ShapeType
StrideType
TensorLikeTensorLikeTypeTensorOrNumberLikeTypeTensorSequenceType)_maybe_convert_to_dtype_maybe_resize_out_safe_copy_out"elementwise_type_promotion_wrapper elementwise_unary_scalar_wrapperout_wrapper(  absacosacoshasinhasinatanatanhbitwise_notceilconj_physicalcoscoshcount_nonzerodeg2raddigammaerferfinverfcexpexpm1exponentialexp2fillfill_floorfrac	geometric	index_add
index_copyindex_copy_index_select
index_fillindex_fill_isfiniteisinfisposinfisneginfisnanisreali0lerplgammaloglog1plog2log10
log_normallog_softmaxmvlgammanormnormal
nan_to_numnegpositiverad2deg
reciprocalroundsigmoidsgnsignsignbitsinsincsinhsoftmaxsqrtsquaretantanhtracetruncaddatan2bitwise_andbitwise_left_shift
bitwise_orbitwise_right_shiftbitwise_xor	clamp_min	clamp_maxcopysigndiveqfloat_powerfloor_dividefmaxfminfmodgcdgegt	heavisidehypotigammaigammacimagiscloselcmle	logaddexp
logaddexp2logical_andlogical_not
logical_orlogical_xor	logsumexpltmaximumminimummulne	nextafterpowrealrpow	remainderrsubrtruediv	rfloordivsubtrue_dividetrunc_dividexlogyaddcdivaddcmulclampmasked_fillmasked_fill_whereclonecopy_toitemtoallamaxaminanycumsumcumprodmeandotvdotstdstd_meansumsum_to_sizeprodvarvar_meanaddralias
alias_copy
atleast_1d
atleast_2d
atleast_3d
as_stridedas_strided_copyas_strided_scatter
block_diagbroadcast_shapesbroadcast_tensorsbroadcast_tocatchunkcolumn_stackconjconstant_pad_nd
contiguous
diag_embeddiagdiagonaldiagonal_copydiagonal_scatterdsplitdstackexpand	expand_asexpand_copyflattenflipfliplrflipudhsplithstackmeshgridmovedimnarrownarrow_copynative_group_normnative_layer_normpermutepermute_copyravelrepeatreshape
reshape_asrollrot90rsqrtsplit_with_sizesstack	swap_axessqueezesqueeze_copytt_copyTtake_along_dimtensor_split	transposetranspose_copyunbind_copyunfoldunfold_copy	unsqueezeunsqueeze_copyviewview_as	view_copyvsplitvstackview_as_complex	unflattenunbindtriutriltriu_indicestril_indicesarangecauchyempty
empty_likeempty_permutedempty_stridedeyefull	full_likelinspacelogspace	new_emptynew_empty_stridednew_fullnew_ones	new_zerosones	ones_likerandnscalar_tensorzerozeros
zeros_likeallcloseequal	bucketize
is_complexrenormstftistftc                 ,    | d u xs | j                   dk7  S )Nhputypedevices    D/home/dcms/DCMS/lib/python3.12/site-packages/torch/_refs/__init__.pyis_noncontiguous_supportedr6  n  s    T>1V[[E11    c                     d }ddl m} | D ]  }t        ||      s|j                  } n t	        |      s|j                         }|S )Nr   )
FakeTensor)torch._subclasses.fake_tensorr9  
isinstancefake_devicer6  r   )input_tlistoutputr4  r9  r   s        r5  handle_noncontiguous_outputsr?  r  sL    F8 a$]]F
 &f-""$Mr7  c            	         ddl m} t        d t        d |       D              }t	        |      dk(  ry |D ]  t        t              rJ  dgt        t        d |D              z  t        |      D ]  \  t        ddt	              z
  d      D ]`   |   dk(        r   dk  rt        d         <   - |   dk7        s<t        j                        k(  fd	       b  S )
Nr   guard_size_obliviousc              3   F   K   | ]  }t        |t              r|fn|  y wNr;  r   .0xs     r5  	<genexpr>z$_broadcast_shapes.<locals>.<genexpr>  s(       1g&A-s   !c                 
    | d uS rD   rH  s    r5  <lambda>z#_broadcast_shapes.<locals>.<lambda>  s
    !4- r7     c              3   2   K   | ]  }t        |        y wrD  len)rG  shapes     r5  rI  z$_broadcast_shapes.<locals>.<genexpr>  s     4ESZ4s   z9Attempting to broadcast a dimension with negative length!c            
      ,    d    d d  d d 
S )Nz.Attempting to broadcast a dimension of length z at z ! Mismatching argument at index z had z0; but expected shape should be broadcastable to rK  )arg_idxcommon_shapeidxrR  s   r5  rM  z#_broadcast_shapes.<locals>.<lambda>  s<    LUSVZLX\]`\a b55<IU5' J22>A r7  )%torch.fx.experimental.symbolic_shapesrB  tuplefilterrQ  r;  r   r   max	enumeraterange
ValueErrortorch_check)_shapesrB  shapesrU  rV  rW  rR  s      @@@@r5  _broadcast_shapesrc    s*   J /9 F 6{a  +%***+
 	
4s4V4546L $F+ R#e*_b1 	C#L$5$:;:>$S  %*#JS!%eCjAo6 %s3A	  r7  T)preserve_cpu_scalar_tensorsc                 \     t        d |D          fdt        fd|D              S )Nc              3   X   K   | ]"  }t        |t              r|j                  nd  $ y wrD  )r;  r#   rR  rG  r   s     r5  rI  z#_maybe_broadcast.<locals>.<genexpr>  s"     	GQZ:.!''D
8	Gs   (*c                 ,   | y t        | t              r| S t        | t              rLrt        j                  |       r| S t        j
                  | j                        s| j                        S | S t        dt        t        |             z   dz         )Nz#Unexpected type when broadcasting: !)r;  r   r#   utilsis_cpu_scalar_tensor
same_shaperR  r   RuntimeErrorstrr2  )rH  rR  rV  rd  s     r5  __maybe_broadcastz+_maybe_broadcast.<locals>.__maybe_broadcast  s    96"H:&*u/I/I!/L##AGG\:xx--H5DGDsJ r7  c              3   0   K   | ]  } |        y wrD  rK  )rG  rH  ro  rV  s     r5  rI  z#_maybe_broadcast.<locals>.<genexpr>  s     B"1l3Bs   )rc  rY  )rd  argsro  rV  s   ` @@r5  _maybe_broadcastrr    s-    $	G$	GL$ BTBBBr7  )register_decompositionF)aten_op
extra_metaexact_dtypereturnc                ,     dt         f fd}|S )Nprimc                     t               t              t        t        d      dt        dt        f fd                            }t
        u r t        j                    j                         t              |       |S )Nrv  atype_promoting_argstype_promotion_kindr}  rw  c                 B     |         |       }t        | g|      S rD  )r?  )r}  r>  ru  ry  s     r5  _refz>_make_elementwise_unary_reference.<locals>.inner.<locals>._ref  s*     %1!WF/V<<r7  )
r	   r,   r+   r*   r$   infer_aten_oprj  get_aten_op__name__rs  )ry  r  rt  rv  ru  r  s   ` r5  innerz0_make_elementwise_unary_reference.<locals>.inner  s     
t		-	)	+ & 3

	=N 	=~ 	=	

 
* 
. 
	= m#''dmm<G+"7+D1r7  r   )r  rt  ru  rv  r  s   ```` r5  !_make_elementwise_unary_referencer    s    H  0 Lr7  c                       fd}||_         t        j                         j                  j                  d   |_        |S )a%  
    This function defines an alias of another function and sets its __name__ argument.
    It also sets its __module__ argument to the module of the caller.
    Note that when naively doing `alias = fn`, we have that `alias.__name__ == "fn"`, and
    `alias.__module__ == fn.__module__`.
    c                       | i |S rD  rK  )rq  kwargsfns     r5  _fnz_make_alias.<locals>._fn  s    4"6""r7  r  )r  inspectcurrentframef_back	f_globals
__module__)r  namer  s   `  r5  _make_aliasr    s7    # CL))+22<<ZHCNJr7  c                      t                fd       } j                   d}||_         t        t        t        |            |      }ddlm}  |       j                  }||vr|j                  |       |S )z
    Given a function with out variant (i.e. using `out_wrapper()), it returns its in-place variant
    See https://github.com/pytorch/pytorch/wiki/Developer-FAQ#how-do-in-place-operations-work-in-pytorch
    c                       | g|d| i|S )NoutrK  )r}  rq  r  r  s      r5  r  z_make_inplace.<locals>._fn	  s    !,d,,V,,r7  _r   )	getmodule)	r	   r  rs  getattratenr  r  __all__append)r  r  inplace_namer  _alls   `    r5  _make_inplacer    sz     2Y- - kk]!$LCL
=
 |!<
=c
BC "R=  D4L!Jr7  r{  c                 ,    t        j                  |       S rD  )primsr-   r|  s    r5  r-   r-     s    
 99Q<r7  c                 ,    t        j                  |       S rD  )r  r.   r|  s    r5  r.   r.   #      ::a=r7  c                 ,    t        j                  |       S rD  )r  r/   r|  s    r5  r/   r/   (      ;;q>r7  c                 ,    t        j                  |       S rD  )r  r1   r|  s    r5  r1   r1   -  r  r7  c                 ,    t        j                  |       S rD  )r  r0   r|  s    r5  r0   r0   2  r  r7  c                 ,    t        j                  |       S rD  )r  r2   r|  s    r5  r2   r2   7  r  r7  c                 ,    t        j                  |       S rD  )r  r3   r|  s    r5  r3   r3   <  r  r7  c                 ,    t        j                  |       S rD  )r  r4   r|  s    r5  r4   r4   A  s    Qr7  c                 ,    t        j                  |       S rD  )r  r5   r|  s    r5  r5   r5   F      
 ::a=r7  inputc                 @    t        j                  | j                        S rD  )rj  is_complex_dtypedtyper  s    r5  r+  r+  N  s    !!%++..r7  c                 n    t        j                  | j                        s| S t        j                  |       S rD  )rj  r  r  r  r6   r  s    r5  r6   r6   S  s,     !!%++.u%%r7  c                 ,    t        j                  |       S rD  )r  r7   r|  s    r5  r7   r7   [      99Q<r7  c                 ,    t        j                  |       S rD  )r  r8   r|  s    r5  r8   r8   `  r  r7  c                 ,    t        j                  |       S rD  )r  r;   r|  s    r5  r;   r;   e      ==r7  c                 ,    t        j                  |       S rD  )r  r<   r|  s    r5  r<   r<   j  r  r7  c                 ,    t        j                  |       S rD  )r  erf_invr|  s    r5  r=   r=   o  r  r7  c                 ,    t        j                  |       S rD  )r  r>   r|  s    r5  r>   r>   t  r  r7  c                 ,    t        j                  |       S rD  )r  r?   r|  s    r5  r?   r?   y  r  r7  c                 ,    t        j                  |       S rD  )r  r@   r|  s    r5  r@   r@   ~  r  r7  c                 ,    t        j                  |       S rD  )r  rB   r|  s    r5  rB   rB     r  r7  za,r~  r}  valuec                 ,   t        | t              sJ t        |t              sJ t        j                  | j
                        }t        j                  t        |      |      sdt        |       d| d}t        |      t        j                  | |      S Nzvalue argument of type  cannot be safely cast to type ri  )r;  r#   r   rj  r   r  r   r2  r^  r  rC   )r}  r  python_typemsgs       r5  rC   rC     s     a$$$eV$$$%%agg.K&&tE{K@'U}4ST_S``abo::ar7  c                 ^    t        j                  | |      }t        j                  | |       | S rD  )r  rC   r   )r}  r  rs      r5  rD   rD     s%    

1eA	MM!QHr7  c                 ,    t        j                  |       S rD  )r_  r'  r  s    r5  r%  r%    s     E""r7  c                 ,    t        j                  |       S rD  )r  rE   r|  s    r5  rE   rE         
 ;;q>r7  rH  c                     t        j                  t        j                  t        j                  |             t        j                  |             }t        j
                  | |      S rD  )r_  r   rE   r-   rh   r   )rH  trunc_xs     r5  rF   rF     s>    
 iiEIIaL15::a=AG99Q  r7  c                     t        | t              sJ t        j                  t	        j
                  | j                        d        t        j                  |       S )Nc                       y)Nz#imag only supports complex tensors.rK  rK  r7  r5  rM  zimag.<locals>.<lambda>      r7  )	r;  r#   r_  r`  rj  r  r  r  r   r|  s    r5  r   r     sC    a$$$	LLqww')V ::a=r7  )rt  c                     t        j                  | j                        st        j                  | j                        rt	        j
                  |       S t        | t        j                        S )Nr  )	rj  is_float_dtyper  r  r  rN   r"  r_  boolr|  s    r5  rN   rN     sG    
 AGG$(>(>qww(G~~a  Qejj))r7  c                    t        j                  | j                        rNt        j                  t        t        j                  |             t        t        j                  |                   S t        j                  | j                        r!t        j                  |       t        d      k(  S t        j                  | t        j                        S )Ninfr  )rj  r  r  r_  r   rO   r   r   r  r-   floatr'  r  r|  s    r5  rO   rO     s    agg&ejjm 4eEJJqM6JKKAGG$yy|uU|++AUZZ00r7  c                     t        j                  t        j                   j                          fd       t        j
                   j                        r t        d      k(  S t        j                   t         j                        S )Nc                  "    d j                    S )Nz7Complex dtype is not supported for isposinf, got dtype r  r|  s   r5  rM  zisposinf.<locals>.<lambda>      I!''S r7  r  r  	r_  r`  rj  r  r  r  r  r'  r  r|  s   `r5  rP   rP     sc    
 
LL""177++S AGG$E%L  AUZZ00r7  c                     t        j                  t        j                   j                          fd       t        j
                   j                        r t        d      k(  S t        j                   t         j                        S )Nc                  "    d j                    S )Nz7Complex dtype is not supported for isneginf, got dtype r  r|  s   r5  rM  zisneginf.<locals>.<lambda>  r  r7  z-infr  r  r|  s   `r5  rQ   rQ     sc    
 
LL""177++S AGG$E&M!!AUZZ00r7  c                 .    t        j                  | |       S rD  r  r   r|  s    r5  rR   rR     s    88Aq>r7  r]   c                     t        j                  | j                        rt        j                  |       dk(  S t        j
                  | t        j                        S )Nr   r  )rj  r  r  r_  r   r"  r  r|  s    r5  rS   rS     s>    
 agg&zz!}!!??1EJJ//r7  c                 ,    t        j                  |       S rD  )r  	bessel_i0r|  s    r5  rT   rT     s     ??1r7  c                 ,    t        j                  |       S rD  )r  rV   r|  s    r5  rV   rV     s    <<?r7  c                 ,    t        j                  |       S rD  )r  rW   r|  s    r5  rW   rW     r  r7  c                 ,    t        j                  |       S rD  )r  rX   r|  s    r5  rX   rX     r  r7  c                 ,    t        j                  |       S rD  )r  rY   r|  s    r5  rY   rY     r  r7  c                 ,    t        j                  |       S rD  )r  rZ   r|  s    r5  rZ   rZ      r  r7  dimr  c                     |xs | j                   }t        j                  |      }t        | |      }t        |t	        ||d      z
  |      S )NTkeepdim)r  rj  get_computation_dtyper'   r   )r}  r  r  result_dtypecomputation_dtypea_s         r5  r\   r\   &  sK     #AGGL33LA	 $5	6B"2	"c4(H#H,WWr7  selfr  r  c                 B   t        |t              s|f}| j                         dk(  r8t        j                  t        j
                  |       ||      j                         S t        j                  t        j                  |       |d      }t        j                  ||j                         t        d      k(  d      }|r|nt        j                  ||      }t        j                  t        j
                  | |z
        ||      }|j                         j                  |      S )Nr   Tr  r  )r;  r   numelr_  r   r?   rW   r   r   r   r-   r  r   rt   )r  r  r  maxesmaxes_squeezedresults         r5  r   r   2  s     c8$fzz|qyy4#w7;;==JJuzz$'d;EeUYY[E%L%@!DE%U5==+DNYYuyy.W=F::<N++r7  nanposinfneginfc                 v   t        | t              sJ t        j                  | j                        st        j
                  | j                        r| j                         S |d}|)t        j                  | j                        j                  }|)t        j                  | j                        j                  }t        j                  t        j                  |       ||       }t        j                  t        j                  |       ||      }t        j                  t        j                  |       ||      }|S )N        )r;  r#   rj  is_boolean_dtyper  is_integer_dtyper   r_  finfor[  minr   rR   rQ   rP   )r}  r  r  r  r  s        r5  r`   r`   F  s     a$$$agg&%*@*@*Iwwy
{~QWW%))~QWW%))[[Qa0F[[*FF;F[[*FF;FMr7  c                 f    t        j                  | j                  t         j                  ud        y )Nc                       	 y)NzNegation, the `-` operator, on a bool tensor is not supported. If you are trying to invert a mask, use the `~` or `logical_not()` operator instead.rK  rK  r7  r5  rM  z_neg_meta.<locals>.<lambda>e  s      r7  )r_  r`  r  r  r|  s    r5  	_neg_metar  b  s#    	LL	uzz!	
r7  )ru  c                 ,    t        j                  |       S rD  )r  ra   r|  s    r5  ra   ra   m  s     99Q<r7  c                 |    t        | t              sJ | j                  t        j                  u rd}t        |      | S )Nz'positive does not support bool tensors.)r;  r#   r  r_  r  rm  )r}  r  s     r5  rb   rb   v  s7    a$$$ww%**73Hr7  c                     t        | t              sJ t        j                  | j                        rt        j                  |       S | S rD  )r;  r#   rj  r  r  r  r   r|  s    r5  r   r     s7    a$$$agg&zz!}Hr7  c                 ,    t        j                  |       S rD  )r  rd   r|  s    r5  rd   rd     s    Ar7  r|  )decimalsr  c                    |dk(  rt        j                  |       S d|z  }d| z  }t        j                  t        j                  t        j                  | |            |      S )Nr   
   )r  re   r   )r}  r  ten_powten_neg_pows       r5  re   re     sS     1}{{1~h,hY'yyUYYq'%:;[IIr7  c                 ,    t        j                  |       S rD  )r  r   r|  s    r5  r   r     r  r7  c                 R    t        dt        dt        t        |                         S )NrN  )r   rt   r?   ra   r|  s    r5  rf   rf     s    q#aSV-..r7  c                     t        j                  | j                        r-| j                         }t	        j
                  |dk(  d| |z        S | j                         S Nr   )rj  r  r  r-   r_  r   rh   )r}  a_abss     r5  rg   rg     sG    
 agg&{{5A:q!e)44vvxr7  c                 ,    t        j                  |       S rD  )r  rh   r|  s    r5  rh   rh     r  r7  c                 ,    t        j                  |       S rD  )r  ri   r|  s    r5  ri   ri     s    
 ==r7  c                 ,    t        j                  |       S rD  )r  rj   r|  s    r5  rj   rj     r  r7  c                     t         j                  | z  } t        j                  | dk(  dt        j                  |       | z        S Nr   rN  )mathpir_  r   rj   r|  s    r5  rk   rk     s3    !A;;qAvq%))A,"233r7  c                 ,    t        j                  |       S rD  )r  rl   r|  s    r5  rl   rl     r  r7  c                 ,    t        j                  |       S rD  )r  rn   r|  s    r5  rn   rn     r  r7  c                     t        | |       S rD  )r   r|  s    r5  ro   ro     s    
 q!9r7  c                 ,    t        j                  |       S rD  )r  rp   r|  s    r5  rp   rp     r  r7  c                 ,    t        j                  |       S rD  )r  rq   r|  s    r5  rq   rq     r  r7  c                 ,    t        j                  |       S rD  )r  rs   r|  s    r5  rs   rs     r  r7  c                    | j                   t        j                  t        j                        fd       | j                         }t        j                  t        |      dk7  d        t        j                  |d   dk(  d        | j                         }t        j                  |d   dk(  d        |d d }t        j                  t        j                  d	 |D              d
        t        j                  | j                         dz  dk(  d        t        j                  | t        j                              j                  d      S )Nc                      d  S )Nz^view_as_complex is only supported for floating pointtensors, but got a tensor of scalar type: rK  )input_dtypes   r5  rM  z!view_as_complex.<locals>.<lambda>  s     55@MC r7  r   c                       y)Nz-Input tensor must have one or more dimensionsrK  rK  r7  r5  rM  z!view_as_complex.<locals>.<lambda>  r  r7  rS     c                       y)Nz+Tensor must have a last dimension of size 2rK  rK  r7  r5  rM  z!view_as_complex.<locals>.<lambda>   r  r7  rN  c                       y)Nz/Tensor must have a last dimension with stride 1rK  rK  r7  r5  rM  z!view_as_complex.<locals>.<lambda>  r  r7  c              3   ,   K   | ]  }|d z  dk(    yw)r!  r   NrK  )rG  strides     r5  rI  z"view_as_complex.<locals>.<genexpr>
  s     8VaZ1_8   c                       y)NzCTensor must have a stride divisible by 2 for all but last dimensionrK  rK  r7  r5  rM  z!view_as_complex.<locals>.<lambda>  r  r7  c                       y)Nz0Tensor must have a storage_offset divisible by 2rK  rK  r7  r5  rM  z!view_as_complex.<locals>.<lambda>  r  r7  )r  r_  r`  rj  r  sizerQ  r%  builtinsr   storage_offsetr  view_element_typecorresponding_complex_dtyper   )r  sizesold_stridesdimsr  s       @r5  r
  r
    s   **K	LL[)	C
 IIKE	LLE
a? 
LLb	Q=
 ++-K	LLB1A sD	LL8488U 
LL!Q&B ""e//<gbkr7  c           	      <     dt         f fd}|S )Nry  c                 f     j                   t               t        d	      dt        t        t
        f   dt        t        t
        f   dt        f fd              }r t               |      }|_         t        u rt        j                         r t              |       |S )Nr}  br~  r}  r4  rw  c                 |   t        j                  xs t        | t               fd       t        j                  xs t        |t               fd       t        j                  xs# t        | t              xr t        |t               fd       t	        | |      \  } } | |      }t        | |g|      S )Nc                        dS )Nzc: Received a lhs Python scalar to an elementwise binary operation that does not accept lhs scalars!rK  r  s   r5  rM  zQ_make_elementwise_binary_reference.<locals>.inner.<locals>._ref.<locals>.<lambda>0      4& !> > r7  c                        dS )Nzc: Received a rhs Python scalar to an elementwise binary operation that does not accept rhs scalars!rK  r7  s   r5  rM  zQ_make_elementwise_binary_reference.<locals>.inner.<locals>._ref.<locals>.<lambda>5  r8  r7  c                        dS )Nz?: Receive two Number inputs to an elementwise binary operation!rK  r7  s   r5  rM  zQ_make_elementwise_binary_reference.<locals>.inner.<locals>._ref.<locals>.<lambda>;  s    4& _` r7  )r_  _check_valuer;  r   rr  r?  )r}  r4  r>  r  ry  supports_lhs_python_scalarsupports_rhs_python_scalarsupports_two_python_scalarss      r5  r  z?_make_elementwise_binary_reference.<locals>.inner.<locals>._ref%  s     *G*Q2G.G>
 *G*Q2G.G>
 + I"1f-G*Q2GH`
 $Aq)DAq!QZF/A??r7  )r  r	   r*   r   Tensorr   r,   r  rj  r  rs  )
ry  r  rt  has_outr  should_register_decompositionr<  r=  r>  r  s
   ` r5  r  z1_make_elementwise_binary_reference.<locals>.inner   s    <==D	t	+ * 3

	@VZ'(	@VZ'(	@ 	@ 	@	

 

	@.  ;=&Dm#''d3G#@+"7+D1r7  r  )	r  rt  r  r@  r<  r=  r>  rA  r  s	   ```````` r5  "_make_elementwise_binary_referencerB    s    *H * *X Lr7  r3  alphar4  rD  c                   t        | |      \  } }|t        | t              r| j                  n|j                  }t	        j
                  |      }|t        k7  r<t	        j                  t        |      |      sdt        |       d| d}t        |      t        |t              rt        j                  ||      }n||z  }t        j                  | |      }t        | |g|      S )z/
    Reference implementation of torch.add
    alpha argument of type r  ri  )rr  r;  r#   r  rj  r   r  r   r2  r^  r  r   rt   r?  r}  r4  rD  r  r  r  r>  s          r5  rt   rt   P  s      Aq!DAq%a4!''))%0$u'B'BK(
 ,DK=8WXcWddefCS/!a$		!U#AE	AYYq!_F'A77r7  )r  r<  r=  c                 .    t        j                  | |      S rD  )r  ru   r3  s     r5  ru   ru   s       ;;q!r7  )r  c                 .    t        j                  | |      S rD  )r  rv   r3  s     r5  rv   rv   |       Q""r7  c                 .    t        j                  | |      S rD  )r  
shift_leftr3  s     r5  rw   rw          Aq!!r7  c                 .    t        j                  | |      S rD  )r  rx   r3  s     r5  rx   rx     rN  r7  c                 .    t        j                  | |      S rD  )r  shift_right_arithmeticr3  s     r5  ry   ry     s     ''1--r7  c                 .    t        j                  | |      S rD  )r  rz   r3  s     r5  rz   rz     rK  r7  )r  r<  c                    t        |t              r3t        | t              r#t        || j                  | j
                        }nat        | t              rQt        |t              rA| j
                  |j
                  k7  r(d| j
                   d|j
                   d}t        |      t        t        |      t        t        |             t        |             S )Nr  r4  /Expected divisor (b) to be on the same device (&) as dividend (a), but it is found on ri  )r;  r   r?  r$  r  r4  rm  r   ri   ra   r-   )r}  r4  r  s      r5  r}   r}     s     !VAv!6!177188<	Av	:a#8QXX=Q?zIopqpxpxoyyz{3SQ[#a&11r7  )rounding_moderW  c                    |t        | |      S |dk(  rt        | |      S |dk(  rt        | |      S d| d}t        |      )z/
    Reference implementation of torch.div
    rs   rE   zLdiv expected rounding_mode to be one of None, 'trunc', or 'floor' but found .)r   r   r   r^  )r}  r4  rW  r  s       r5  r~   r~     s\     1a  	'	!Aq!!	'	!Aq!!\]j\kklmor7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r         
 88Aq>r7  c                 
   t        | t              st        |t              sJ t        |t              r9|dk(  r| j                         S |dk(  r| | z  S |dk(  rt	        j
                  |       S t        | t              rs| dk(  rt	        j                  |d      S | dk(  rSt        j                  |j                        st        j                  |j                        rt	        j                  |      S t        j                  | |      S )N      ?g       @      ?T)r;  r$   r   r   r_  rn   rC   rj  r  r  r  rB   r  r   r3  s     r5  r   r     s     a(Jq.,III!V8779#Xq5L#X::a= 	Av	8::a&&8  )U-C-CAGG-L::a= 99Q?r7  c                 ^   t        | t              rt        |t              rt        d      t        j                  | |      }|J t        j
                  |      rt        j                  }nt        j                  }t        | |      } t        ||      }t        | |      \  } }t        | |      S )Nz=Receive two Number inputs to an elementwise binary operation!)r;  r   r^  rj  get_higher_dtyper  r_  
complex128float64r'   rr  r   r}  r4  r  s      r5  r   r     s    
 !VAv!6K
 	

 ""1a(Ee$   	 5)A5)AAq!DAqq!9r7  )r  r>  rA  c                    t        | t              r(t        |t              rt        |       } t        |      }n*t        |t              r3t        | t              r#t        || j                  | j
                        }nt        | t              r3t        |t              r#t        | |j                  |j
                        } nt        | t              rt        |t              r| j
                  |j
                  k7  rk| j
                  t        j
                  d      k(  r(d| j
                   d|j
                   d}t        |      t        j                  || j
                        }t        | t              rt        |t              sJ | j                  t        j                        rt        | |      S t        j                        rt        | |      S t        j                  dfd       y )	NrT  cpurU  rV  ri  r3  Fc                        dS )Nz not supported for floor_dividerK  r  s   r5  rM  zfloor_divide.<locals>.<lambda>A  s    ug-L$M r7  )r;  r   r$  r?  r  r4  r_  rm  r  
device_putrj  r  _floor_divide_floatr  _floor_divide_integerr`  )r}  r4  r  r  s      @r5  r   r   #  s_    !VAv!6!!	Av	:a#8!177188<	Av	:a#8!177188<	Av	:a#8QXX=Q88u||E**CAHH:Mstut|t|s}}~Cs##  1884Aa Z6%:::GGEE""1a((				&$Q**UMNr7  c                 t   t        | |      \  } }| j                  j                  st        j                  | |      S t        j                  |       t        j                  |      k7  j                  t        j                  | |      dk7        }t        j                  | |      t        || j                        z
  S r  )
rr  r  	is_signedr  r~   r_  ri   r   r   r'   )r}  r4  offsets      r5  ri  ri  D  s    Aq!DAq77yyA mmA%--"22??

1a@PTU@UVF99Q?4VQWWEEEr7  c                     t        | |      }t        t        | |      |      }t        t	        | d      t	        |d            }t        |d      }t        ||      }t        |t        |d      |      }t        |      }t        t        ||      d      }t        |t        |d      |      }t        | |      }t        d|j                  |j                        }	t        t        |d      |t        |	|            }t        t        |d      ||      S )Nr   rN  r^  rT  )r   r   r   rz   r   r   rv   r   rE   r   rt   r$  r  r4  r}   )
r}  r4  modr~   different_signed_inputsnon_zero_remaindermask	floor_div	basic_divzero_tensors
             r5  rh  rh  O  s    
q!*C
c!Sk1
%C *"Q(Bq!H=C)+BCD
c#qk3
'C c
Ic#y!3'DdC	1-y9IAq!IAQAQRK baj)Xk9-MNI Aq9i00r7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r   h       ::ar7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r   q  rv  r7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r   z  rv  r7  mantissaexponentc                 f    t         j                  j                  t        j                  |             S rD  )r_  return_typesfrexpr  r  s    r5  r}  r}    s$     ##EKK$566r7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r     s     99Q?r7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r     r[  r7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r     r[  r7  valuesc                    t        j                  | d      }t        j                  t        j                  | d      t        j                  |             }t        j
                  |dd      }t        j
                  |||      }|S r  )r_  r   r   r   rR   r   )r  r  input_eq_zeroinput_lt_zerozeros_and_onesr>  s         r5  r   r     sc     HHUA&M$$UXXeQ%7U9KLM[[15N[[?FMr7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r     rI  r7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r     s     <<1r7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r     s     ==Ar7  r  rtolatolc                      t        j                  j                  j                  k(   fd       t        j                  dk\   fd       t        j                  dk\   fd       y )Nc                  B     d j                    dj                    dS )Nz4: Attempting to compare tensors of different dtypes  and ri  r  )r}  r4  r  s   r5  rM  z#_check_close_args.<locals>.<lambda>  s)    4&LQWWIUZ[\[b[bZccde r7  r   c                        d dS )Nz6: rtol must be greater than or equal to zero, but got ri  rK  )r  r  s   r5  rM  z#_check_close_args.<locals>.<lambda>      4&NtfTUV r7  c                       d  dS )Nz6: atol must be greater than or equal to zero, but got ri  rK  )r  r  s   r5  rM  z#_check_close_args.<locals>.<lambda>  r  r7  )r_  r;  r  r`  r  r}  r4  r  r  s   `````r5  _check_close_argsr    sV     
	177e 
LL	V 
LL	Vr7  	equal_nanc           
         t        d| |||       t        | |      }|rft        j                  | j                        st        j
                  | j                        r(t        |t        t        |       t        |                  }|dk(  r|dk(  r|S t        j                  | j                        sot        j
                  | j                        sPt        j                  | t        j                               } t        j                  |t        j                               }t        |t        t        ||                  }t        t!        | |            }t        |t        t#        |      t%        ||                  }|S )Nztorch.iscloser  r   )r  r   rj  r  r  r  r   r   rR   r  convert_element_typer_  get_default_dtypert   r-   r   r   rN   r   )	r}  r4  r  r  r  closeallowed_erroractual_errorr  s	            r5  r   r     s    ?a14dKq!HEe**1773u7M7Magg7V5+eAha"AB qyTQY (1G1G1P&&q%*A*A*CD&&q%*A*A*CDc#a,/0Ms1ay>L {8L12lM3RSF Mr7  c                    | j                   }|t        j                  t        j                  fv }|rHt	        j
                  | t        j                        } t	        j
                  |t        j                        }t        j                  | |      }t        j                  |dk(  d|      }t        j                  t	        j                  | |      |z        }|s|S t	        j
                  ||      S r  )r  r_  int8int16r  r  int32r   r   r-   r~   )r}  r4  r  promote_to_intgress         r5  r   r     s     GGE uzz5;;77N&&q%++6&&q%++6		!QAAFAq!A
))EIIaOa'
(C$3P%*D*DS%*PPr7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r      r[  r7  c                    t        j                  |       t        j                  |      k\  }t        j                  || |      }t        j                  |||       }t        j                  t        j                  t        j
                  t        j                  |                   t        j                  |       t        j                  |      k(        }t        j                  | j                        st        j                  |j                        rt        j                  |      dk  }t        j                  ||t        j                  t        j                  |      t        j                  |      z               }t        j                  |||t        j                  t        j                  ||z
              z         }t        j                  |      }	t        j                  |	t        t        d      t        d            |      S t        j                  || |t        j                  t        j                  ||z
              z         S )Nr   r  )r_  r   r   r   r   rN   rj  r  r  rW   r?   rX   rR   complexr  )
r}  r4  rq  max_min_inf_maskneg_min_maskinf_valsnon_nan_valsnan_masks
             r5  r   r   (  s    ::a=EJJqM)D;;tQ"D;;tQ"D  %..A78%**Q-5::VW=:XH agg&%*@*@*Izz$'!+;;$		%))D/EIIdO*K L
 {{hu{{599TD[3I'J J
 ;;t${{8WU5\5<%H,WW{{8Qu{{599TD[;Q/R(RSSr7  c                 ,   t        j                  t        j                  | j                        xs t        j                  |j                         d        | |k\  }t        j
                  || |      }t        j
                  |||       }t        j                  t        j                  |       | |k(        }dt        j                  d      z  }|t        j                  t        j                  ||z
              |z  z   }t        j
                  || |      S )Nc                       y)Nz)logaddexp2 doesn't support complex dtypesrK  rK  r7  r5  rM  zlogaddexp2.<locals>.<lambda>M  r  r7  r]  r!  )r_  r`  rj  r  r  r   r   rO   r  rW   rX   rB   )r}  r4  rq  r  r  r  	inv_log_2r  s           r5  r   r   E  s     
LL##AGG,O0F0Fqww0OP;
 6D;;tQ"D;;tQ"D  Qa8Hdhhqk!IEKK

4$; 789DDF;;xF++r7  c                     t        j                  | j                        s| dk7  } t        j                  |j                        s|dk7  }| |z  S r  rj  r  r  r3  s     r5  r   r   Y  C     !!!''*F!!!''*Fq5Lr7  c                 P    t        j                  | j                        s| dk(  S |  S r  r  r|  s    r5  r   r   d  s$    !!!''*Av2Ir7  c                     t        j                  | j                        s| dk7  } t        j                  |j                        s|dk7  }t        | |      S r  )rj  r  r  rx   r3  s     r5  r   r   k  sG     !!!''*F!!!''*Far7  c                     t        j                  | j                        s| dk7  } t        j                  |j                        s|dk7  }| |z  S r  r  r3  s     r5  r   r   w  r  r7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r     r[  r7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r          ==Ar7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r     r  r7  )r  r>  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r     s    
 99Q?r7  c                 .    t        j                  | |      S rD  r  r3  s     r5  r   r     r[  r7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r     s     ??1a  r7  c                 .    t        j                  | |      S rD  )r  r   r3  s     r5  r   r     s     ??1a  r7  rN  c                 l    t        | t              rd}t        |      t        j                  || |      S )Nz?Received a Number for the first argument, but expected a TensorrC  )r;  r   r^  r_  r   )r}  r4  rD  r  s       r5  r   r     s0     !VOo99Q''r7  c                   t        | |      \  } }t        | t              rgt        |t              rWt        j                  t        j                  | j                         xr  t        j                  |j                         d        |dk7  rt        | t              r| j                  n|j                  }t        j                  |      }t        j                  t        |      |      sdt        |       d| d}t        |      t        |t        j                        rt        j                  ||      }n||z  }t        j                  | |      }t!        | |g|      S )z/
    Reference implementation of torch.sub
    c                       	 y)NzwSubtraction, the `-` operator, with two bool tensors is not supported. Use the `^` or `logical_xor()` operator instead.rK  rK  r7  r5  rM  zsub.<locals>.<lambda>  s    C r7  rN  rF  r  ri  )rr  r;  r#   r_  r`  rj  r  r  r   r   r2  r^  r?  r  r   r   r?  rG  s          r5  r   r     s     Aq!DAq!Z Z:%>&&qww//W8N8Nqww8W4W	
 z%a4!''))%0**4;D+DK=8WXcWddefCS/!a&		!U#A
 E	AYYq!_F'A77r7  r   )r  r  rt  r>  c                 .    t        j                  | |      S rD  )r  r~   r3  s     r5  r   r     s     99Q?r7  c           
         t        j                  t        | t              xs t        |t              d        t        |t              r3t        | t              r#t        | |j                  |j                        } nBt        | t              r2t        |t              r"t        || j                  | j                        }t        | t              sJ t        |t              sJ t        j                  t        j                  | d      dt        j                  | t        j                  |                  }t        j                  t        j                  |      t        d      |      S )Nc                       y)Nz/Expected either argument a or b to be a Tensor"rK  rK  r7  r5  rM  zxlogy.<locals>.<lambda>	  r  r7  rT  r   r  )r_  r`  r;  r#   r   r$  r  r4  r   r   r   rW   rR   r  )r}  r4  rhss      r5  r   r      s     
LL1j!>Z:%>A !Z Z6%:!177188<	Az	"z!V'<!177188< a$$$a$$$
++ehhq!na1eiil)C
DC;;u{{1~uU|S99r7  )r  rt  r>  c                     t        j                  |       }t        j                  |      rt        j                  | |      S t        t        j                  | |            S rD  )rj  	get_dtyper  r  r~   rs   rc  s      r5  r   r     sE     OOAEe$yyA1a!!r7  )r  tensor1tensor2r  r  r  c                    X| j                   }t        j                  |      t        j                  t        j
                  t                    fd       | |z  |z  z   S )z3
    Reference implementation of torch.addcdiv
    c                  (    dt               d  dS r  r1  r  r  s   r5  rM  zaddcdiv.<locals>.<lambda>B      -d5k]:YZeYffgh r7  r  rj  r   r_  r;  r   r2  r  r  r  r  r  r  s      ` @r5  r   r   -  _      

))%0''U[Ah	

 %'/G+++r7  c                    X| j                   }t        j                  |      t        j                  t        j
                  t                    fd       | |z  |z  z   S )z3
    Reference implementation of torch.addcmul
    c                  (    dt               d  dS r  r1  r  s   r5  rM  zaddcmul.<locals>.<lambda>]  r  r7  r  r  s      ` @r5  r   r   H  r  r7  )r}  r  r[  r  r[  c                    ||d}t        |      |Vt        j                  |       }t        j                  t        j                  | |      |      }t        j
                  || |      } |Vt        j                  |       }t        j                  t        j                  | |      |      }t        j
                  || |      } | S )Nz+clamp called but both min and max are none!)r^  r_  rR   rx   r   r   r   )r}  r  r[  r  a_isnan	conditions         r5  r   r   c  s     {s{;o
++a.$$UXXa%5w?	
 KK	1c*
++a.$$UXXa%5w?	KK	1c*Hr7  c                 0    t        j                  | |      S )N)r  r_  r   )r  r  s     r5  r{   r{          ;;t%%r7  c                 0    t        j                  | |      S )N)r[  r  )r  r[  s     r5  r|   r|     r  r7  predc                      ||t         t        j                   ||d       t        j                   j
                  t        j                  u  fd       t         ||      \   }}t        j                   ||      S ) Tallow_cpu_scalar_tensorsc                  "    d j                    S )Nz#expected predicate to be bool, got r  )r  s   r5  rM  zwhere.<locals>.<lambda>  s    5djj\B r7  )
NotImplementedErrorrj  check_same_devicer_  r`  r  r  rr  r  r   )r  r}  r4  s   `  r5  r   r     sp     	yAI!!	D!QF	LL

ejj B
 "$1-JD!Q;;tQ""r7  memory_formatr  c                4    t        j                  | |      }|S Nr  )r  r   )r}  r  r  s      r5  r   r     s    
 [[-8FMr7  )allow_cross_devicec                    |sA| j                   |j                   k7  r(d|j                    d| j                    d}t        |      t        j                  | |      S )NzAttempting to copy from device z to device z*, but cross-device copies are not allowed!)r4  rm  r  r   )r}  r4  r  r  s       r5  r   r     sM    !((ahh"6/zQXXJNxy3==Ar7  c                     | j                         dk7  rd| j                          d}t        |      t        j                  | j                        } |t        j                  |             S )NrN  zCan't convert a tensor with z elements to a number!)r  r^  rj  r   r  r  r   )r}  r  number_types      r5  r   r     sW    wwyA~,QWWYK7MNo %%agg.Kuzz!}%%r7  r4  copylayout
pin_memorynon_blockingc                     | xrw |d u xs | j                   |k(  xr` |d u xs | j                  |k(  xrI |d u xs | j                  |k(  xr2 |d u xs, |t        j                  k(  xs t        j                  | |      S r  )r4  r  r  r_  preserve_formatrj  is_contiguous_for_memory_format)r}  r4  r  r  r  r  r  r  s           r5  _to_will_aliasr    s      
	
t^1qxx61
	
d].agg.
	
 t^1qxx61
	
 T! U 5 55U44QmTr7  c                      t         rD  )r  )rq  r  s     r5  _to_dispatchr    s    
r7  c                     | ||||d}|S N)r4  r  r  r  r  rK  r4  r  r  r  r  r  s         r5  
_to_devicer    s!     $&F Mr7  c                 <    t        j                  |       ||||d}|S r  )r_  r4  r  s         r5  _to_device_strr    s*     ,,v&$&F Mr7  c                     | |||d}|S )N)r  r  r  r  rK  )r  r  r  r  r  s        r5  	_to_dtyper    s     $&	F Mr7  otherc                 `    | j                   }| j                  }| j                  }||||||d}|S )N)r4  r  r  r  r  r  )r4  r  r  )r  r  r  r  r4  r  r  r  s           r5  	_to_otherr  )  sA     \\FKKE\\F $&F Mr7  	to_kwargsc                    g d}d|v r.t        |d   t              rt        j                  |d         |d<   |D ]  }||v s|dk(  r||   t        j                  u st|dk(  r[||   j
                  | j                  j
                  k(  r5||   j                  r:||   j                  | j                  j                  k(  st        | |d       ||   k(  s|j                  |        y )N)r  r4  r  r  r4  r  )	r;  rn  r_  r4  r  r2  indexr  pop)r}  r  options_to_checkkws       r5  _canonicalize_to_argumentsr  A  s    E9Ih,?!E#ll9X+>?	( "?&9R=E<Q<Q+Q(N!"**ahhmm;%bM//9R=3F3F!((..3X Ar4(IbM9 b!"r7  c                    t        |      dk7  rt        |i |}d|vsJ t        | |       t        | fi |r| S d|v r|j	                  d      nd}d|v r|j	                  d      nd}|s)|j                  d| j                        | j                  k7  r>|s<d|vr8d|vr4d	|vr0t        j                  | |j                  d| j                              S t        j                  | fi |}t        ||        |S )
Nr   r  r  Fr  r  r  r4  r  )rQ  r  r  r  r   getr  r  r  r_  r  r   )r}  rq  r  r  r  r  s         r5  r   r   Y  s    
4yA~t.v. v%%%q&)a"6"!'6!16::fuD1?61I6::n-uL 
&**Wagg.!''9F*V#V# ))!VZZ-IJJa*6*FFAMr7  )has_identityaccepts_dim_tupler0  keepdimsr  r  ry  r  r  r0  r  r  output_dtype_kindc                    t         t              sJ  j                  dkD  rt        d j                   d      |.t        |t              sJ |||j                  k7  rt        d      |s|t        |t
              sJ t        |t
              r|f}t        j                   j                  |      }|s< j                  dk(  xs t        j                   fd|D              }	|	st        d      t        j                   ||      \  }
}t         |
        | |      }|rst         j                        D cg c]  }||vr j                  |   nd }}t         j                        D cg c]	  }||vs| }}t        j                  |||      }|C|J |||j                  k7  rt        d	      t!        ||j                        }t#        ||
      S |j                  |k7  r|t        j$                  ||      }|S c c}w c c}w )N@   zReceived a tensor with z? dimensions, but only tensors with up to 64 dims are supported!z4dtype argument and out dtype must match in reductionr   c              3   <   K   | ]  }j                   |     y wrD  rR  rG  ir}  s     r5  rI  z_reduction.<locals>.<genexpr>  s     1K!''!*1K   zJreducing over zero-size dimension for reduction operation without identityrN  z7Expected the dtype of reduction result and out to match	copy_fromr   )r;  r#   ndimrm  r  r   rj  reduction_dimsrR  r*  r   reduction_dtypesr'   r]  r  broadcast_in_dimr(   r)   r  )r}  ry  r  r  r0  r  r  r  r	  valid_shaper  r  r  r  output_shapebroadcast_dimss   `               r5  
_reductionr    s    a$$$vv{%affX-lm
 	
 #z***		!"J  |z$444$w.DffkKX\\1Kd1K%K\  ',&<&<	e'#| 	 #45A!T]FDI!&&MRqatm
:RR%*166]Datm!DD''nM
'''!:I   V\\2<<|||#(@++FLAM! SDs   ;H0	H
:H
c                 B    t        t         j                        }t         di       } t               |       t	               dd fd
       } j                   d}||_        |j
                  j                  |        t        t        t        |            |       |S )zk
    Given a view function (e.g. torch.diagonal) generates its copy variant (e.g. torch.diagonal_copy)
    __annotations__Nr  c                 N     |d| i|}| |S t        j                  d |      S )Nr  c                 B    | j                  t        j                        S r  )r   r_  contiguous_formatrL  s    r5  rM  z3_make_copy_from_view.<locals>._fn.<locals>.<lambda>  s    aggE,C,CgD r7  )pytreetree_map)r  rq  r  r  r  s       r5  r  z!_make_copy_from_view.<locals>._fn  s8    T-s-f-?MD
 	
r7  _copy)r  r  r  r,   r	   r  updaters  )r  aten_fnannotationsr  	copy_names   `    r5  _make_copy_from_viewr(    s     dBKK(G"/4K	w	B
2Y 
 
 ;;-u%ICL{+47434S9Jr7  c                     t        j                  t        j                  t        j                  |       ||            }| j                  t         j                  k(  r |j                  t         j                        }|S )Nr  r  )r_  r   r   r  uint8r   )r}  r  r  r  s       r5  r   r     sU     uyy):):1)=sGTUFww%++-Mr7  c                 h   t        | t        j                        }t        |t        t
        f      rt        |      dk(  r|j                         }n"|j                  ||      j                  d      }| j                  t        j                  u r$t        j                  |t        j                        S |S )Nr   )r  r  F)r'   r_  r  r;  listrY  rQ  r   r   r   r  r*  r  r  )r}  r  r  r  r  s        r5  r   r     s     
!EJJ	/B#e}%#c(a-C144U; 	ww%++))&%++>>Mr7  )r  r  c          	      N   |j||j                   }n[t        j                  | j                         st        j                  | j                         rt        j
                  }n| j                   }|dk(  s|g k(  rd }t        | t        j                  ||||t        j                        S NrK  r0  r  r  r  r	  )r  rj  r  r  r_  int64r  r  r   r    SAMEr}  r  r  r  r  s        r5  r   r     s     }?IIE##AGG,0F0Fqww0OKKEGGE
byC2I			499 r7  c           
      
    t        j                  d      t        j                  t        j                   j
                         fd       t        j                   j
                        r#t              dkD  rt        j                         S  j                  t              z
  t        t                    t         fdt        t                    D              z   }t        j                   |dd       S )NFvalidatec                  *    d d j                    dS )Nzsum_to_size: size "z" is not expandable to size ""r  r}  rR  s   r5  rM  zsum_to_size.<locals>.<lambda>!	  s    %eW,I!''RST r7  r   c              3   \   K   | ]#  }|z
     d k(  rj                   |   d k7  r| % ywrN  Nr  )rG  r  r}  leading_dimsrR  s     r5  rI  zsum_to_size.<locals>.<genexpr>(	  s9      5\!"a'AGGAJ!O 	
5s   ),T)r  r  r  )rj  extract_shape_from_varargsr_  r`  is_expandable_torR  is_same_shaperQ  r  view_ofr  rY  r]  r   )r}  rR  reduce_dimsr;  s   `` @r5  r   r   	  s     ,,UUCE	LLuagg.T 5!''*s5zA~}}Q66CJ&Ll+,u 5|SZ05 0 K
 99QKTBBr7  c          	      N   |j||j                   }n[t        j                  | j                         st        j                  | j                         rt        j
                  }n| j                   }|dk(  s|g k(  rd }t        | t        j                  ||||t        j                        S r.  )r  rj  r  r  r_  r0  r  r  r   r    r1  r2  s        r5  r   r   0	  s     }?IIE##AGG,0F0Fqww0OKKEGGE
byC2I	

499 r7  r  c          
      x    |dk(  s|g k(  rd }t        | t        j                  ||d |dt        j                        S NrK  Fr0  r  r  r  r  r	  )r  r  r   r    r1  r}  r  r  r  s       r5  r   r   N	  E     byC2I	

499	 	r7  c          
      x    |dk(  s|g k(  rd }t        | t        j                  ||d |dt        j                        S rC  )r  r  r   r    r1  rE  s       r5  r   r   f	  rF  r7  c                 6    |t        | t              r| }d } | |fS rD  )r;  r  )r  unbiaseds     r5  _dim_var_dispatchrJ  ~	  s'     JsD1=r7  
correctionrI  rL  c          
          t        ||      \  }}t        j                  ||      }|dk(  s|g k(  rd }t        | t	        t
        j                  |      ||d d dt        j                        }|S )NrK  rK  TrD  )	rJ  rj  set_correctionr  r   r  r   r    COMPLEX_TO_FLOAT)r}  r  rI  r  rL  r  s         r5  r   r   	  sr     &c84MC%%h
;J
byC2I			j14EE	F Mr7  c                .   t        ||      \  }}t        j                  ||      }t        j                  | t        j
                        \  }}t        | |      } t        j                  | |||      }t        j                  |      }|J t        ||      S N)rL  r  )
rJ  rj  rN  r  r    rO  r'   r_  r   rn   )	r}  r  rI  r  rL  opmath_dtyper  a_vara_stds	            r5  r   r   	  s     &c84MC%%h
;J00	%66L% 	 <0AIIaWEEJJuE"5%00r7  c          	         	 |dk(  s|g k(  rd }	 j                   t         t        j                  ||d t        j
                        }t        j                  t        j                        xs t        j                        	fd       t        |t              r|f}t        j                   j                  |      } j                  dk(  rdn#t!        t"        j$                   fd|D        d      }t'        ||      } j                   n}t)        ||      }|5t        |t*              sJ t-        ||j                        }t/        ||      S |S )NrK  r/  c                      ddnd d  S )Nz&mean(): could not infer output dtype. Inputr   z> dtype must be either a floating point or complex dtype. Got: rK  )r  
orig_dtypes   r5  rM  zmean.<locals>.<lambda>	  s'    4$,w*= >77<g? r7  r   rN  c              3   <   K   | ]  }j                   |     y wrD  r  r  s     r5  rI  zmean.<locals>.<genexpr>	  s     7Qq
7Qr  r  )r  r  r  r   r    KEEP_PROMOTED_TYPEr_  r`  rj  r  r  r;  r   r  rR  r  r   operatorr   r   r'   r#   r(   r)   )
r}  r  r  r  r  r  r0  nelemr  rX  s
   `  `     @r5  r   r   	  s0    byC2IJ}			4GGF 
LLU#Du'='=e'D	
 #sf-D1A&7QD7QST"UE'F#m177L$V\:F
#z***V\\2<<Mr7  out0out1)rI  r  rL  c                d   t        ||      \  }}t        j                  ||      }t        j                  | t        j
                        \  }}| j                  }t        | |      } t        j                  | |||      \  }}	t        j                  |      }
|J t        |
|      t        |	|      fS rQ  )rJ  rj  rN  r  r    rO  r  r'   r_  r   rn   )r}  r  rI  r  rL  rR  r  original_dtyperS  a_meanrT  s              r5  r   r   	  s     &c84MC%%h
;J00	%66L% WWN<0ANN1cj'RME6JJuEu-7 r7  c                b    t        ||      \  }}t        | ||||      }t        | ||      }||fS )NrK  )rJ  r   r   )r}  r  rI  r  rL  vms          r5  r   r   
  s=     &c84MCAsHg*=AQWAa4Kr7  )r  vec1vec2)betarD  re  rf  rg  c                    t        j                  j                  dk(  fd       t        j                  j                  dk(  fd       dfdffD ]  \  }t        |t              st        j                  t        j                   j                        xr@ t        j                  j                        xr t        j                  j                        fd         j                  j                  d   j                  d          t        j                   j                        rt        j                  t        t              t              fd       t        j                  t        t              t              fd	       s.rt        j                        S t        j                   d
      S t        j                   rt        j                              S t        j                   d
            S t        j                  t        t              t!         j                               fd       t        j                  t        t              t!         j                               fd       dk(  rt        j                        z  S  z  t        j                        z  z   S )NrN  c                  $    d j                    dS )Nz*addr: Expected 1-D argument vec1, but got -Dr  )re  s   r5  rM  zaddr.<locals>.<lambda>$
      <TYYKrJ r7  c                  $    d j                    dS )Nz*addr: Expected 1-D argument vec2, but got rj  rk  )rf  s   r5  rM  zaddr.<locals>.<lambda>(
  rl  r7  rD  rg  c                      d  dS )NzBoolean z$ only supported for Boolean results.rK  )arg_names   r5  rM  zaddr.<locals>.<lambda>0
  s    (8*,PQ r7  r   c                       dt                S )Nzexpected bool/int beta but got r1  rg  s   r5  rM  zaddr.<locals>.<lambda>7
  s    5d4j\B r7  c                       dt                S )Nz expected bool/int alpha but got r1  rq  s   r5  rM  zaddr.<locals>.<lambda>;
  s    6tDzlC r7  Fc                  :    dt                dj                   S Nzcannot safely convert z to r2  r  )rg  r  s   r5  rM  zaddr.<locals>.<lambda>G
  s    ,T$ZLTZZLI r7  c                  :    dt                dj                   S rt  ru  )rD  r  s   r5  rM  zaddr.<locals>.<lambda>K
  s    ,T%[Mdjj\J r7  )r_  r`  r  r;  r  rj  r  r  r   rR  r   r2  intouterr  r   r   )r  re  rf  rg  rD  argro  s   ````` @r5  r   r   
  s    
LL		QJ 
LL		QJ !'*T6N; Xc4 LL&&tzz2 7**4::67**4::6Q	 ;;tzz!}djjm4Ddjj)!$t*c2B	
 	!$u+s3C	
 .35;;tT*Uu9UU##+0D$' 6;oodE6R 
 	!$t*mDJJ.GHI	
 	!$u+}TZZ/HIJ	
 195;;tT222$;T4)@!@@@r7  ry  rq  .c                     |s't        | t        j                  j                        r| }n,t        | t        j                  j                        rJ | f|z   }t	        d |D              }t        |      dkD  r|S |d   S )z5Reference implementation of :func:`torch.atleast_1d`.c              3   V   K   | ]!  }|j                   d k\  r|nt        |d       # yw)rN  r   N)r  r  rG  r}  s     r5  rI  zatleast_1d.<locals>.<genexpr>^
  s%     E!QVVq[i1o5Es   ')rN  r   )r;  collectionsabcr   rY  rQ  )ry  rq  args_r  s       r5  r   r   U
  sm     JsKOO$<$<=c;??#;#;<<<
EuE
ECc(Q,3*CF*r7  at_least_fnc                 N     | |      }t        |t              sJ t        ||      S rD  )r;  r#   r  )r  r  ry  arg_s       r5  _unsqueeze_atleastr  d
  s+     sDdJ'''T3r7  c                 *   |s't        | t        j                  j                        r| }n,t        | t        j                  j                        rJ | f|z   }t	        t
        t        d      t        fd|D              }t        |      dkD  r|S |d   S )z5Reference implementation of :func:`torch.atleast_2d`.r   c              3   P   K   | ]  }|j                   d k\  r|n |        yw)r!  Nrk  )rG  r}  unsqueeze_atleast_1ds     r5  rI  zatleast_2d.<locals>.<genexpr>w
  &     M!QVVq[&:1&==M   #&rN  )	r;  r}  r~  r   r   r  r   rY  rQ  )ry  rq  r  r  r  s       @r5  r   r   m
  s~     JsKOO$<$<=c;??#;#;<<<"#5z1E
MuM
MCc(Q,3*CF*r7  c                 *   |s't        | t        j                  j                        r| }n,t        | t        j                  j                        rJ | f|z   }t	        t
        t        d      t        fd|D              }t        |      dkD  r|S |d   S )z5Reference implementation of :func:`torch.atleast_3d`.rS  c              3   P   K   | ]  }|j                   d k\  r|n |        yw)   Nrk  )rG  r}  unsqueeze_atleast_2ds     r5  rI  zatleast_3d.<locals>.<genexpr>
  r  r  rN  r   )	r;  r}  r~  r   r   r  r   rY  rQ  )ry  rq  r  r  r  s       @r5  r   r   |
  s~     JsKOO$<$<=c;??#;#;<<<"#5z2F
MuM
MCc(Q,3*CF*r7  r)  r%  r+  c                 Z    ||n| j                         }t        j                  | |||      S rD  )r+  r  r   )r}  r)  r%  r+  storage_offset_ints        r5  r   r   
  s6     )4!:J:J:L  AtV-?@@r7  srcc                 @    |dn|}t        j                  | ||||      S r  )r  r   )r  r  r)  r%  r+  r  s         r5  r   r   
  s+     -4.##E3f>PQQr7  c                  8    t        j                  t        |        S rD  )r_  Sizerc  )rb  s    r5  r   r   
  s    ::'011r7  c                  v    t        |       dk(  rt        | d   t              s| d   } t        t	        | ddi      S )NrN  r   rd  F)rQ  r;  r?  r,  rr  tensorss    r5  r   r   
  s<     7|qGAJ!?!* 'MuMNNr7  c                     t        |      t        | j                        z
  }t        t        |t        | j                        |z               }t	        j
                  | ||      S rD  )rQ  rR  rY  r]  r  r  )r}  r)  startr0  s       r5  r   r   
  sK    IAGG$Euc!''lU234D!!!T400r7  r  r  c                   
 d }t        |       dk(  rd}t        |      | D ]  }t        |t              rJ  t	        j
                  | ddi ddlm} d 
t        |       D ]\  \  
j                  dk7  s
j                  dk7  s+t        j                  j                  
j                  k(  
fd       ^ 
| d   

j                  }g }t        |       D ]  \  }t        |      t        |j                        k7  rB|j                  dk(  sJ t        j                   ||j                  d   dk(        
fd	       i|j                  dk(  r ||j                  d   dk(        r|j                  |         ||       }t        |      dk(  rE| d   	 t        t        d
 | D                    }	t#        dj$                  j&                  |	|      S t	        j(                  |d   j                  |      }t	        j*                  |d   j                  |       t-        j.                  ||      j1                  |      S # t         $ r d}	Y w xY w)Nc                     d }| D ]I  }t        j                  |      }|t        j                  k(  r|c S |||k7  rt        j                  c S |}K |J |S rD  )rj  suggest_memory_formatr_  r   )inputsformatr   fs       r5   cat_compute_output_memory_formatz-cat.<locals>.cat_compute_output_memory_format
  si     	A++A.AE+++!fk...F	 !!!r7  r   z3cat expects at least one tensor, but received zero!r  FrA  rN  c                  D    d j                    dj                    d dS )N6Number of dimensions of tensors must match.  Expected z-D tensors, but got z-D for tensor number  in the listrk  )exampler  r   s   r5  rM  zcat.<locals>.<lambda>
  s0       '~-A!&& J%%&C|5 r7  c                  *    d j                    d dS )Nr  z*-D tensors, but got 1-D for tensor number r  rk  )r  
tensor_idxs   r5  rM  zcat.<locals>.<lambda>	  s$     #LL> *!!+L: r7  c              3   4   K   | ]  }|j                     y wrD  )requires_gradrF  s     r5  rI  zcat.<locals>.<genexpr>   s     $FQ__$F   r   r  r4  r  r  r  )rQ  r^  r;  r#   rj  r  rX  rB  r\  r  r_  r`  rR  r  r  r   	Exceptionr  r  r4  canonicalize_dimvalidate_idxr  r   r   )r  r  r  r  tensorrB  rR  filteredr  r  r  r  r   r  s             @@@@r5  r   r   
  sF   
 7|qCo .&*---. 
WEuEJ$ G'" 1?vv{vv{FFgll*5  !*MMEH'0 $
Fu:V\\**;;!###LL %V\\!_%9::$ {{a$8aA9M$NOOF#3$6 5W=M
8}AJ	" !$Fg$F!FGM ''88''
 	
 
 
 !!1!13
7C	x{''-99Xs#)))FF  	"!M	"s   #I IIc                 >    t        d | D              }t        |d      S )Nc              3      K   | ]6  }|j                   d kD  r|n |j                  |j                         d f       8 ywr:  )r  r   r  rF  s     r5  rI  zcolumn_stack.<locals>.<genexpr>5  s7      ;<QVVaZQYY	1~66s   <>rN  )rY  r   r  aligned_tensorss     r5  r   r   3  s(     @G O ""r7  c                     t        j                  | j                        s| S | j                  rt	        j
                  |       S t        j                  |       S rD  )rj  r  r  	is_sparser_  r6   r  r   r  s    r5  r   r   ;  s@    !!%++.""5))::er7  padc           	        
 t        j                  t              dz  dk(  fd       | j                  t              t              dz  }|z
  t        j                  |k\  fd       | }t	              D ]t  
d
z
  dz
  z     dk  r*|j                  
    |j                  
      z         }dz      dk  sL|j                  
d|j                  
   dz      z         }v t        j                  d D              r|j                         S t        d        }t	        |      D ]^  
t              
dz   dz  z
  
z         z   dz      z   }t        j                  |dkD  
fd       |j                  |       ` t        j                  |       }t        j                  || j                  | j                  | j                   |      }|dk(  r| j                  t         j"                  k(  rd	}t        j$                  ||      }|}	t	              D ]s  
d
z
  dz
  z     dk\  r)|	j                  
   |	j                  
      z
        }	dz      dk\  sK|	j                  
d|	j                  
   dz      z
        }	u t'        j(                  |	|       |S )
Nr!  r   c                       dt                S )Nz1Length of pad must be even but instead it equals rP  )r  s   r5  rM  z!constant_pad_nd.<locals>.<lambda>K  s    CCH:N r7  c                  (    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  dimensions.rP  )l_inpr  s   r5  rM  z!constant_pad_nd.<locals>.<lambda>V  s"     225c(;P' r7  rN  c              3   &   K   | ]	  }|d k    yw)r   NrK  )rG  ps     r5  rI  z"constant_pad_nd.<locals>.<genexpr>m  s     'aAE's   c            	      F    d z       d    ddz       d z    d	S )NzThe input size z, plus negative padding r  rN  zG resulted in a negative output size, which is invalid. Check dimension z of your input.rK  )r  input_sizesl_diffr  pad_idxs   r5  rM  z!constant_pad_nd.<locals>.<lambda>w  sG    ok&1*&=%>>V7|nE#gk"2!3 4117!OM r7  r  F)r_  r`  rQ  rR  r]  r   r*  r   r   r,  r  rj  r  r  r  r4  r  r  rC   r  r   )r  r  r  l_padc_input	new_shapenew_dimr  r>  c_outputr  r  r  r  r  s    `        @@@@@r5  r   r   D  s   
 
LLC1N
 ++KEHMEU]F	LL	 G65! Puqy1}%w<!nnQWw}}Q7G#g,7VWGw{annQ7==+;c'A+>N+NOGP" ||'3''}}[&)*I5\ 	"c(q1uk*fqj)CL83w{;KKaKM	
 	!	" //6M[[kk||))#F zekkUZZ/ZZ&FH65! Suqy1}%w<13w<!2S\!AH w{q q!X^^A->Wq[AQ-QRHS 
MM(G$Mr7  c                    t        j                  |t         j                  k7  d        t        j                  | |      r| S t        j
                  | |      S )Nc                       y)Nz@preserve memory format is unsupported by the contiguous operatorrK  rK  r7  r5  rM  zcontiguous.<locals>.<lambda>  r  r7  r  )r_  r`  r  rj  r  r   )r}  r  s     r5  r   r     sI     
LL...R
 ,,QmL;;q66r7  c                 p    t        j                  t        |       dkD  d        t        |  }t	        |d      S )Nr   c                       y)Nz%dstack expects a non-empty TensorListrK  rK  r7  r5  rM  zdstack.<locals>.<lambda>  r  r7  r!  )r_  r`  rQ  r   r   r  s     r5  r   r     1    	LLW!#RS '*O""r7  c                    ddl m} t        |      dk(  r!t        |d   t              rt        |d         }t        j                  t        |      t        | j                        k\  d        t        |      t        | j                        z
  }t        |      }t        | j                        D ]Q  \  }||z   }||   }t        j                   ||k(        xs  |dk(        xs |dk(  fd       |dk7  r|n||<   S t        j                  |       t        j                  | |t        t        |t        | j                        |z                     S )Nr   rA  rN  c                       y)Nz3expand: the requested shape has too few dimensions!rK  rK  r7  r5  rM  zexpand.<locals>.<lambda>  r  r7  rS  c                      d  dS )Nz3expand: attempting to expand a dimension of length ri  rK  rL  s   r5  rM  zexpand.<locals>.<lambda>  s    I!AN r7  )rX  rB  rQ  r;  r   rY  r_  r`  rR  r,  r\  rj  validate_shaper  r  r]  )	r}  rR  rB  rl  shape_rW  
offset_idxrequested_lengthrH  s	           @r5  r   r     s8   J
 5zQ:eAh9eAh	LLE
c!''l"E
 Z#agg,&F%[FAGG$ 
OQ6\
 , !1Q!67 &#AF+&2%N		
 2BR1G-Qz
O 
 !!	65vs177|f'<=> r7  c                 8    | j                  |j                        S rD  )r   rR  r3  s     r5  r   r     s    88AGGr7  chunksc           	         |dk  rd| d}t        |      t        j                  | j                  |      }| j                  |   }t        j                  ||z        }t        j                  ||z        }||z  }t        |      D cg c]  }t        | |||z  |       }	}|dk7  r |	j                  t        | |||z  |             t        |	      S c c}w )Nr   z%Expected at least one chunk, but got ri  )r^  rj  r  r  rR  r  r5   rE   r]  r   r  rY  )
r}  r  r  r  length
chunk_sizefull_chunkstail_chunk_sizer  r  s
             r5  r   r     s    {5fXQ?o

 
 
-CWWS\F6F?+J**Vj01Kz)OBGBTUQfQQ^Z8UFU!fQ[:%=OP= Vs   C	start_dimend_dimc                 B   t        j                  | j                  |      }t        j                  | j                  |      }||k(  r| j                  dk7  r| S t        j                  | ||      \  }}|t        j
                  | ||      S t        j                  | ||      S r  )rj  r  r  r  _collapse_view_helpercollapse_viewcollapse)r}  r  r  r  _new_stridess        r5  r   r     s    &&qvvy9I$$QVVW5G G! $99!YPI|""1i99 >>!Y00r7  c                     t        |t              st        |t              st        d      t	        j
                  | j                  |      }t	        j                  |       t        j                  | |      S )Nz!dims has to be a sequence of ints)
r;  rY  r,  r^  rj  canonicalize_dimsr  validate_no_repeating_dimsr  rev)r}  r0  s     r5  r   r      sX     dE":dD+A<==""16640D	$$T*99Qr7  c                 N    | j                   dk  rt        d      t        | d      S )Nr!  zInput must be >= 2-d.rN  r  rm  r   r|  s    r5  r   r     %    vvz2334=r7  c                 N    | j                   dk  rt        d      t        | d      S )NrN  zInput must be >= 1-d.r  r  r|  s    r5  r   r     r  r7  r  r  c                 F   t        t              rYt        j                  j	                         dk(  xr t        j                  j                        d        j                         t        t              t        j                  | j	                         dkD  d        t        j                  dk\  d        t        j                  | j                  |      }| j                  |      t        j                  t         k  xr k  fd       dk  rz   t        j                  z
  k  fd       t!        | j"                        }||<   | j%                  || j'                         | j)                         | j'                  |      z  z         S )Nr   c                       y)Nz'start must be an 0-dim integral Tensor.rK  rK  r7  r5  rM  znarrow.<locals>.<lambda>#  r  r7  c                       y)Nz-narrow() cannot be applied to a 0-dim tensor.rK  rK  r7  r5  rM  znarrow.<locals>.<lambda>'  r  r7  c                       y)Nz&narrow(): length must be non-negative.rK  rK  r7  r5  rM  znarrow.<locals>.<lambda>(  r  r7  c                      d   d  d dS )Nz0start out of range (expected to be in range of [, z], but got )rK  )
dim_lengthr  s   r5  rM  znarrow.<locals>.<lambda>.  s%    BJ;-rR\Q]]hinhoopq r7  c                      d d d  dS )Nzstart (z) + length (z) exceeds dimension size (z).rK  )r  r  r  s   r5  rM  znarrow.<locals>.<lambda>4  s    '%VH4NzlZ\] r7  )r;  r#   r_  r`  r  rj  r  r  r   r   rw  r  r  r)  _check_with
IndexErrorr,  rR  r   r%  r+  )r}  r  r  r  r  r  s     `` @r5  r   r     sP   
 %$IIK1D!7!7!D=	
 

eE	LL1UV	LL1NO

 
 
-CJ		u4*!4q
 qy
"	LLf$$] QWWIIcN<<188:q//1AHHSME4II r7  	norm_dimsepsc                 >   t        j                  | j                  |      }t        j                  | j                        }t        | |      }t        |t              sJ t        j                  ||dd      \  }}t        j                  ||z         }||z
  |z  }|||fS )a  Computes mean and 1/std of a tensor along norm_dims.

    Used as a helper function for normalization layers.

    Args:
        a (Tensor): input tensor
        norm_dims (DimsType): dimensions to normalize over
        eps (float): epsilon for numerical stability

    Returns:
        out (Tensor): normalized tensor.
        mean (Tensor): mean of the tensor along norm_dims.
        rstd (Tensor): 1/std of the tensor along norm_dims.
    FT)r  rI  r  )rj  r  r  r  r  r'   r;  r#   r_  r   r   )	r}  r  r  r  a_acc
biased_varr   rstdr  s	            r5  
_normalizer  =  s    " ''	:I33AGG<#A'89EeZ(((~~9udJ ;;zC'(D4<4
Cd?r7  
dimensionsc                 R    t        |      D ]  }t        j                  | |      }  | S rD  )sortedr_  r  )rH  r  r  s      r5  _unsqueeze_multipler  [  s+    j! $OOAs#$Hr7  weightbias
batch_sizenum_channelsflattened_inner_size
num_groupsc                     t        j                   j                  dk\   fd       t        j                  |z  dk(   fd       ddg}t        j                   ||z  |g      }	t	        |	||      \  }
}}|
j                   j                        }
dgt        t        d j                              z   }d }|t        ||      }d }|t        ||      }||
|z  }
||
|z   }
t        |
 j                        }
t        | j                        }t        | j                        }t        j                  ||      }t        j                  ||      }|
||fS )Nr!  c                  "    d j                    S )Nz=Expected at least 2 dimensions for input tensor but received rk  r  s   r5  rM  z#native_group_norm.<locals>.<lambda>n  s    OPUPZPZ|\ r7  r   c                  .    dd j                    d z   S )NzDExpected number of channels in input to be divisible by num_groups, zbut got input of shape z and num_groups = r  )r  r  s   r5  rM  z#native_group_norm.<locals>.<lambda>r  s#    V#EKK=0B:,
OP r7  r  )r_  r`  r  r   r  r  rR  r,  r]  r  r'   r  r   )r  r  r   r  r  r  r  r  r  input_reshapedr  r   r  r  unsqueeze_biasunsqueeze_weights   `     `         r5  r   r   a  sb    
LL

a\ 
LLz!Q&	P VN]]	Z!;=QRN !EOCt
((5;;
CS4a 455NN,T>B.v~F#$$!N"
!#u{{
3C"45D"45D ==~.D==~.Dtr7  out2normalized_shapec                     t              }t        j                  |dk\  fd       t        j                  d u xs j                  t	              k(  fd       t        j                  d u xs j                  t	              k(  fd       t        j                   j
                  |k\  xr(  j                   j
                  |z
  d  t	              k(   fd        j                          j                         j                          j
                  |z
  }t        t        | j
                              }t         ||      \  }}	}
|z   }n|z  }n
|z  z   }t        | j                        } j                  j                  dv r,t        |	 j                        }	t        |
 j                        }
||	|
fS )NrN  c                       dt               z   S )NzzExpected normalized_shape to be at least 1-dimensional, i.e., containing at least one element, but got normalized_shape = )rn  )r  s   r5  rM  z#native_layer_norm.<locals>.<lambda>  s     I

  r7  c                  R    dt        j                        z   dz   t               z   S )NzQExpected weight to be of same shape as normalized_shape, but got weight of shape  and normalized_shape = rn  rR  )r  r  s   r5  rM  z#native_layer_norm.<locals>.<lambda>  s5     
fll
 %% 
	  r7  c                  R    dt         j                        z   dz   t              z   S )NzMExpected bias to be of same shape as normalized_shape, but got bias of shape r  r  )r   r  s   r5  rM  z#native_layer_norm.<locals>.<lambda>  s4     
djj/ %% 
	  r7  c                  p    dt              z   dz   t              z   dz   t         j                        z   S )NzGiven normalized_shape=z, expected input with shape z, but got input of size r  )r  r  s   r5  rM  z#native_layer_norm.<locals>.<lambda>  sK    )

 
() 
  %	%
 ekk
 r7  )re  mtia)rQ  r_  r`  rR  rY  r  r   r,  r]  r  r'   r  r4  r2  )r  r  r  r   r  normalized_ndimaxisr  r  r   r  s   ````       r5  r   r     s    *+O	LL1	  
LL$A&,,%0@*AA	  
LL=

e,<&==	  
LL

o% 	UKKo589UCS=TT		 E""$ ::'D%ejj12N <OCt~$*Dj		Fl		 0FlT!
!#u{{
3C||O+&tU[[9&tU[[9tr7  c                     t        | S rD  )r   )	fake_modefuncrq  r  s       r5  native_layer_norm_faker    s    d##r7  c                     t        j                  | j                  t        j                  |            }t	        j
                  | |      S rD  )rj  r  r  extract_dims_from_varargsr  r   )r}  r0  _permutations      r5  r   r     s9    **	//5L ??1l++r7  r  maxnormc                 h  	 t        j                  t        |t               d        t        j                  |dkD  d        t        j                  t        t               d        t        j                  dk\  fd       | j                  	t        j                  	dkD  	fd       t        j                  	|      }t        t        	            }||= t        j                  | j                        }|| j                  k7  r%t         j                  j                  | ||d|	      }n#t         j                  j                  | ||d
      }d}t        j                  |kD  ||z   z  d      }|| j                  k7  r t        j                  || j                        }| |z  j!                         S )Nc                       y)Nzrenorm: p must be real-valuedrK  rK  r7  r5  rM  zrenorm.<locals>.<lambda>  r  r7  r   c                       y)Nz'renorm: non-positive norm not supportedrK  rK  r7  r5  rM  zrenorm.<locals>.<lambda>  r  r7  c                       y)Nz#renorm: maxnorm must be real-valuedrK  rK  r7  r5  rM  zrenorm.<locals>.<lambda>  r  r7  c                      d  S )Nz,renorm: expected maxnorm to be >= 0 but got rK  )r  s   r5  rM  zrenorm.<locals>.<lambda>  s     LWIV r7  rN  c                      d  dS )Nz/renorm: input needs at least 2 dimensions, got  dimensionsrK  rk  s   r5  rM  zrenorm.<locals>.<lambda>  s    A${S r7  T)r  r  r  gHz>r]  )r_  r`  r;  r  r  rj  r  r,  r]  r  r  linalgvector_normr   r  r  r   )
r  r  r  r  r@  acc_typer^   r  norm_factorr  s
      `     @r5  r,  r,    so   
 
LLZ7++-TU	LLQIJ	LLw((*W 
LL1V ::D	LLqS
 
 
 s
+CuT{#KC **5;;7H5;;||''1k4x ( 
 ||''q+t'L
C++dWng.DcJK5;;00ekkJK++--r7  n_fft
hop_length
win_lengthwindowcenterpad_mode
normalizedonesidedreturn_complexalign_to_windowc                     t        j                  d u xs j                   j                  k(   fd       t        j                  | xs |
d u d       ||ndz  ||n|	N j                         xs% d uxr t	        j
                  j                        }t        j                  |d       n|	}t        j                  t	        j                   j                        xs t	        j
                   j                        d        t        j                  d j                  cxk  xr dk  nc d         j                  }|dk(  r j                  d	       |rd
 j                  z
  }dz  }g t        j                  d|       j                  }t        j                   j                  |      ||g|        j                   j!                         |d          j!                  d      t        j                  d	cxk  xr k  nc fd       t        j                  d	kD  fd       t        j                  d	cxk  xr k  nc fd       t        j                  d u xs j                  fk(  fd       k  rT,t        j"                   j                   j                        z
  dz  }t        j%                  |z
  |z
  g       j'                  d       |s#|
r!z
  dz  }t        j                   ||g|        z   t	        j
                   j                        }||n| }|rdnd }|r;t        j                  | d        t         j(                  j+                   d|      }n"t         j(                  j)                   d|      }|j-                  dd       |dk(  r|j/                  d	      }|r|S t        j0                  |      S )Nc                  B    d j                    dj                    z   S )NzAstft input and window must be on the same device but got self on  and window on r3  r  r-  s   r5  rM  zstft.<locals>.<lambda>$  s,    OPUP\P\~^/0 r7  z6stft only supports align_to_window for center = False.   zstft requires the return_complex parameter be given for real inputs, and will further require that return_complex=True in a future PyTorch release.c                       y)Nz:stft expected a tensor of floating point or complex valuesrK  rK  r7  r5  rM  zstft.<locals>.<lambda>A  r  r7  rN  r!  c                       y)Nzstft expected a 1D or 2D tensorrK  rK  r7  r5  rM  zstft.<locals>.<lambda>C  r  r7  r   r  c                      d  d S )Nzstft expected 0 < n_fft <= z, but got n_fft=rK  )r  r*  s   r5  rM  zstft.<locals>.<lambda>S  s    -fX5EeWM r7  c                      d  S )Nz0stft expected hop_length > 0 but got hop_length=rK  )hop_length_s   r5  rM  zstft.<locals>.<lambda>W  s    B;-P r7  c                      d  S )Nz9stft expected 0 < win_length <= n_fft but got win_length=rK  )win_length_s   r5  rM  zstft.<locals>.<lambda>[  s    KK=Y r7  c                  0    d  ddj                    z   S )Nz8expected a 1D window tensor of size equal to win_length=r  zbut got window with size r  )r?  r-  s   r5  rM  zstft.<locals>.<lambda>_  s(    F{mSUV)&,,89 r7  rT  rS  )	dimensionr)  steporthoc                       y)Nz9Cannot have onesided output if window or input is complexrK  rK  r7  r5  rM  zstft.<locals>.<lambda>x  r  r7  r  r^   )r_  r`  r4  r+  rj  r  r  r  r  r  	itertoolsr   rR  r  r  r  r)  r!  r   r  fftrfft
transpose_squeeze_view_as_real)r  r*  r+  r,  r-  r.  r/  r0  r1  r2  r3  return_complex_original_ndim
extra_dims
pad_amountextended_shapeleftinput_pad_amountcomplex_fftr^   r  r=  r  r?  s   ``  `                @@@r5  r-  r-    s    
LL$7&--5<<7	
 
LL
-o-@
 !+ 6*EQJK * 6*EK**, 
$G5#9#9&,,#G 	 	c	
 )	LLU[[)PU-C-CEKK-PL 
LLejj%A%'PQJJM"^
aZ
I9++Az:IU[[IN3j*5MxX

5::<
45ZZ]F	LL	EVM 
LLaP 
LL	K 5 Y 
LL$8&,,;.8	
 U>ZZ5;;u||TF#)%%ftU[5H45O.PQLL2ELDEo!K/A5!13C DhO((5K#/x_H 7dDOO	
 iinnUn6iimmErm5NN1all1o!3>u'9'9#'>>r7  c
                 J	    t        j                  d u xs j                   j                  k(   fd       ||n|dz  }
||n|}t        j                  t        j                   j
                         fd        j                  d      } j                  d      }||
|dz
  z  z   }t        j                   j                         dkD  d        t        j                  d	 j                  cxk  xr d
k  nc  fd       ||n||k7  }|r!t        j                  |d	z  dz   |k(  d        nt        j                  ||k(  d        t        j                  d|
cxk  xr |k  nc d        t        j                  d|cxk  xr |k  nc d        t        j                  d u xs j                  |fk(  d        Bt        j                   j
                        }t        j                  || j                        }n}||k7  r'||z
  d	z  }t        j                  ||||z
  |z
  fd      } j                  } j                  d	k(  r j                  d        j                  dd	       |rdnd }|	r;t        j                  | d        t         j                   j#                   d|       nyt        j                  d u xs  t        j                  j
                         d        |s j%                  dd|d	z  dz          t         j                   j'                   d|        j                  d	      |k(  sJ  |j)                  dd|g      z  }t        j+                  ||j                  d      |fd||
      }t        j+                  |j-                  d	      j/                  d||f      |j                  d      |fd||
      }||j                  d      k(  sJ ||j                  d      k(  sJ |r|d	z  nd}|||z   }n|r	||d	z  z
  }n|}t1        d||z
        }|j%                  d||      }|j%                  d||      }||z  }|d	k(  r|j3                  d      }||kD  r1t5        j6                  d       t        j                  |d||z
  fd      }|S )Nc                  B    d j                    dj                    z   S NzBistft input and window must be on the same device but got self on r6  r3  r7  s   r5  rM  zistft.<locals>.<lambda>  s-    PQVQ]Q]P^_/0 r7  r8  c                  @    d j                    dj                    z   S rV  r3  r7  s   r5  rM  zistft.<locals>.<lambda>  s&    Pofmm_=> r7  rS  rN  r   c                       y)Nz"istft input tensor cannot be emptyrK  rK  r7  r5  rM  zistft.<locals>.<lambda>  r  r7  r!  r  c                  "    d j                    S )Nz8istft expected a tensor with 2 or 3 dimensions, but got rk  r  s   r5  rM  zistft.<locals>.<lambda>  s    J5::,W r7  c                       	 y)Nzistft expected the frequency dimension (3rd to the last) of the input tensor to match n_fft / 2 + 1 when onesided=True, but got {fft_size}rK  rK  r7  r5  rM  zistft.<locals>.<lambda>  s    R r7  c                       y)N)zistft expected the frequency dimension (3rd to the last) of the input tensor to match n_fft when onesided=False, but got {fft_size}rK  rK  r7  r5  rM  zistft.<locals>.<lambda>  r  r7  c                       y)Nz+istft expected 0 < hop_length <= win_lengthrK  rK  r7  r5  rM  zistft.<locals>.<lambda>  r  r7  c                       y)Nz&istft expected 0 < win_length <= n_fftrK  rK  r7  r5  rM  zistft.<locals>.<lambda>  r  r7  c                       y)NzDInvalid window shape. window has to be 1D and length of `win_length`rK  rK  r7  r5  rM  zistft.<locals>.<lambda>  r  r7  rT  rC  c                       y)Nz9cannot have onesided output if window or input is complexrK  rK  r7  r5  rM  zistft.<locals>.<lambda>  r  r7  rE  c                       y)Nz:Complex windows are incompatible with return_complex=FalserK  rK  r7  r5  rM  zistft.<locals>.<lambda>  r  r7  )r  r  r  )r  r  r)  rB  zThe length of signal is shorter than the length parameter. Result is being padded with zeros in the tail. Please check your center and hop_length settings)r_  r`  r4  rj  r  r  r)  r  r  rR  corresponding_real_dtyper!  r  r   r  r   rG  ifftr   irfftr  unfold_backwardr   r   r[  r   warningswarn)r  r*  r+  r,  r-  r.  r0  r1  r  r2  r=  r?  n_framesfft_sizeexpected_output_signal_len	onesided_
real_dtypewindow_rQ  rM  r^   y_tmpywindow_envelopr  ends   `   `                     r5  r.  r.    s    
LL$7&--5<<7	
 !+ 6*EQJK * 6*EK	LLu{{+	
 zz"~Hzz"~H!&1)E!E	LL"$PQ	LL	UZZ1W %0h%6GIQJNh&	
 	X	
 
LL	K&;&= 
LL	K 5 "R 
LL$8&,,;.8V
 ~33EKK@
**[
5<<Pe#)&&wu{7JT7Q0RTUVJJMzzQ"OOAq!E 7dDMO	
 		u"48dNF%"8"8"FFP	
 LLRq!aLHE		2D9::a=E!!!GLL!Q//EZZ]$>? 	 	A ))Aq(E23ZZ]$>? * N &222%)<)<Q)???? EQJaEfn	(5A:5(C%K F	QeF3A#**qf*MN	NAIIaL
''`	
   Q.H(H$I1MHr7  a_shapea_striderA  rB  c                   	
 t        |       }t        j                  ||d      	|dk(  rdn| 	   
|dk(  rdn|	   }t        j                  
k  	
fd       t        j                  dkD  fd       t        |       }t        |      }|j                         |j                  |       	|k  r|	   z
  z  dz   |	<   |	xx   z  cc<   ||fS )NT)wrap_scalarr   rN  c                      d  d d S )Nz%Maximum size for tensor at dimension z is z but size is rK  )r  max_sizer)  s   r5  rM  z*_get_unfold_shape_stride.<locals>.<lambda>&  s    7uD
-X\W]^ r7  c                      d  dS )NzStep is z but must be > 0rK  rB  s   r5  rM  z*_get_unfold_shape_stride.<locals>.<lambda>+  s    (4& 01 r7  )rQ  rj  r  r_  r`  r,  r  )rr  rs  rA  r)  rB  a_ndimlast_striderR  stridesr  rw  s      ``    @@r5  _get_unfold_shape_strider}    s     \F

 
 
ECaKqWS\H{!K	LL^
 
LLq1
 ME8nG	LLNN;
V|Cj4'D014c
'>r7  c                    t        j                  |d      }t        j                  t	        |      t	        | j
                        k\  d        t	        |      dk(  rt        j                  |       S t	        |      | j                  z
  }dg|z  }| j
                  D ]  }|j                  |        t        d t        ||      D              }d|v rKt        j                  || j                  | j                  | j                  t        j                  |             S |}t        j                   |      }t#        |      D ]!  \  }}t%        ||||t'        |d            \  }}# t)        t#        |            }	|	j+                  t-        j.                  d      d	       t        |	 \  }
}| j1                  |      }t        j                  |      }|j3                  |
      }|j5                  |      S )
NFr4  c                       y)Nzbrepeat: Number of dimensions of repeat dims can not be smaller than number of dimensions of tensorrK  rK  r7  r5  rM  zrepeat.<locals>.<lambda>>  r  r7  r   rN  c              3   ,   K   | ]  \  }}||z    y wrD  rK  )rG  padded_sizerepeat_sizes      r5  rI  zrepeat.<locals>.<genexpr>I  s!      $K 	k!r&  r  T)keyreverse)rj  r<  r_  r`  rQ  rR  r   r  r  rY  zipr  r  r4  r  r  make_contiguous_strides_forr\  r}  r[  r,  sortr[  
itemgetterr   r   r   )r}  repeat_shapenum_new_dimensionspadded_shapedim_sizetarget_shapeurtensor_shapeurtensor_strider  enumerated_stridepermute_order_sorted_striderepeat_xtensorcloned_resultpermuted_results                  r5  r   r   8  s    33L5QL	LLLS\)t
 <A{{1~\*QVV33++LGG &H%&  (+L,(G L 	L{{''88//55a8
 	
 "N77EO"<0 
X*BOS(C!<L+
'
 Y78x2215tD$'):$;!M> XXn-N KK/M $++M:O ""<00r7  
allow_copyc                   ddl m}m} t        j                  |d      }t        j
                  || j                               } || j                         dk(        r t        | |t        j                  |            S | j                  dk(  r7| }|D ]  }|dk(  sJ t        |d      } || u rt        j                  |       S |S t        |      dk(  rA| }| j                  D ]  }|dk(  sJ t        |d      } || u rt        j                  |       S |S | j!                         rt        |      dk(  r6| j                  dkD  r't#        j                  | | j                         gdg      S t        |      dk(  r4| j                  dk(  r%|d   }|d   }t#        j                  | ||g|dg      S d| |D ]S  }j                  k\  r@|dk(  sJ j                  dz
  }	t        j$                  |	j                  |	         dz   S ||j                     k(        rdz   qj                     }
} ||
|z  dk7        r&|dz   }|
j                  |   z  }
 ||
|z  dk7        r&|k7  rrt        j&                  |      \  }}|I|rt        j(                  | |      c S d| j                   d	| j+                          d
| d}t-        |      t/        |       ||
|k7        rt        j$                  |      dz   V j                  k  rFt#        j0                  j                     dk(  fd       t              j                  k  rF| u rt        j                  |       S S )Nr   )rB  sym_eqFr4  rN  rS  r!  z Cannot view a tensor with shape z and strides z as a tensor with shape ri  c                  .    d d j                       S )Nza.size(z) expected to be 1 but got r  )r  rW  s   r5  rM  z&_reshape_view_helper.<locals>.<lambda>  s    gcU"=bhhsm_M r7  )rX  rB  r  rj  r<  
infer_sizer  r   r  r  r  r  r?  rQ  rR  r   is_contiguousr_  	split_dimr  r   r%  r^  r   r`  )r}  r  rR  rB  r  _ar  dim0dim1last_dimaccumrq  r  r  r  r  rW  s                  @@r5  _reshape_view_helperr  r  s~   R ,,UUCE UAGGI.E AGGIN+!UE$E$Ee$LMM 	vv{ 	#FQ;;2r"B	# 7==##I 5zQgg 	!FQ;;RB	! 7==##Iu:?qvvz##A	{QC88u:?qvv{8D8D##Ad|dAY??* C	
B ,"''>Q;;ww{H Xrxx/ABB'C  "((3- 78'C
 "56>Q#67'CBHHSM)E #56>Q#67 #: ',&A&A"c3&O#I|  ==E228	qxxzlZrsxryyz{ o%S#&B  0S&1BAgY,^ -HHSMQM	
 R - 
Qw}}Q	r7  rR  c                      t        | g|ddiS )Nr  Tr  r8  s     r5  r   r     s    ;E;d;;r7  c                 @    | j                  |j                               S rD  )r   r)  r  r  s     r5  r   r     s    <<

%%r7  shiftsc                    t        j                  | j                  |      }t        |t              s|f}t        |t              s|f}| j                         dk(  r| j                         S | j                         dk(  r t        |      dkD  rt        d|d    d      t        |      }t        |      }|dk7  s|dk7  r|dk(  rt        d      |dk(  rH|dk(  rCt        j                  t        j                  |       |d      j                  | j                        S ||k7  rt        d| d|       |dkD  sJ |dd }|dd }t        j                  | |d   f|d         }t        j                  |||      S |d   }| j                  |   }	|	|d   z
  |	z  }
t        j                   |	| j"                  	      }| j%                  |t        j&                  |
|z   |	            S )
z/Reference implementation of :func:`torch.roll`.r   zDimension specified as z but tensor has no dimensionsrN  z`shifts` requiredz*shifts and dimensions must align. shifts: z, dims: Nr3  )rj  r  r  r;  r   r  r   r  rQ  r  rm  r_  r   r   r  rR  r  r4  rK   r   )r}  r  r0  
len_shiftslen_dimstail_shifts	tail_dimsfirst_dim_rolledr  r)  r  rW  s               r5  r   r     s    ""16640Dfh'dH%w 	wwyA~wwyuuw!|D	A%d1gY.KL
 	
 VJ4yHQ(a-?233 q=Z1_::emmA.:??HH!<ZLQYPZ[  !||QRjH	 ::a&)tAw?zz*KCC q'C773<DF1I%E
,,tAHH
-C>>#uzz%#+t<==r7  r   rN  kc                    t        |      dk7  rt        dt        |             | j                  dk  rt        d| j                         t        j                  | j                  |      }|d   |d   k(  rt        d|d    d|d          |dz  }|dk(  r5t        j                  t        j                  | |d   f      |d   |d         S |dk(  rt        j                  | |      S |d	k(  r5t        j                  t        j                  | |d   f      |d   |d         S | j                  t
        j                  
      S )z0Reference implementation of :func:`torch.rot90`.r!  z2expected total rotation dims == 2, but got dims = z/expected total dims >= 2, but got total dims = r   rN  z7expected rotation dims to be different, but got dim0 = z and dim1 = r8  r  r  )
rQ  rm  r  rj  r  r_  r   r   r   r   )r}  r  r0  s      r5  r   r   .  s?    4yA~@TL
 	
 	vvzLQVVHUVV ""16640DAw$q'Ed1gYl[_`a[bZcd
 	
 	
AAAvuzz!d1gZ8$q'47KK	
azz!T""	
auzz!d1gZ8$q'47KKwwU%<%<w==r7  c                     | d   j                   }t        dt        |             D ]1  }| |   j                   |k(  rJ d| d| |   j                    d|         y )Nr   rN  z4stack expects each tensor to be equal size, but got z at entry 0 and z
 at entry )rR  r]  rQ  )r  entry_shaper  s      r5  _check_stack_inputsr  N  sr    !*""K1c'l# 
qz;. 	
B;- P1:##$Jqc3	
.
r7  c                    t        |       dkD  sJ d       t        j                  | d   j                  dz   |      }|| d   j                  k  ret	        |        t        | d   j                        }|j                  |t        |              t        j                  | |      }|j                  |      S t        j                  | D cg c]  }|j                  |       c}|      S c c}w )Nr   z$stack expects a non-empty TensorListrN  )rQ  rj  r  r  r  r,  rR  insertr_  r   r  r  )r  r  wrapped_dimresult_sizesr  r   s         r5  r   r   W  s     w<!CCC((1)<cBKWQZ__$G$GAJ,,-KW6ii-xx%% 99@1akk+.@#FF@s   C&c           
         |xs | j                   }t        j                  |      }t        | |      }| j	                         dk(  rt        |      }nt        ||d      }t        ||z
        }t        t        |t        ||d            |      S )Nr   Tr  )	r  rj  r  r'   r  r?   r   r   r   )r}  r  r  r  r  r  a_expa_maxs           r5  rm   rm   i  s     #AGGL33LA	 $5	6BwwyA~BRd+BJ"E3uc489< r7  c                     t        j                  t        |       dkD  d        t        |  }|d   j                  dk(  rt        |d      S t        |d      S )Nr   c                       y)Nz%hstack expects a non-empty TensorListrK  rK  r7  r5  rM  zhstack.<locals>.<lambda>  r  r7  rN  )r_  r`  rQ  r   r  r   r  s     r5  r   r   }  sQ    	LLW!#RS '*Oq!#?A&&""r7  c                 p    t        j                  t        |       dkD  d        t        |  }t	        |d      S )Nr   c                       y)Nz%vstack expects a non-empty TensorListrK  rK  r7  r5  rM  zvstack.<locals>.<lambda>  r  r7  )r_  r`  rQ  r   r   r  s     r5  r	  r	    r  r7  r.  c                 &   t        j                  | j                  |      }t        j                  t        |      dk7  d        | j                  t        | j                  d |       t        |      z   t        | j                  |dz   d        z         S )Nr   c                       y)Nz"unflatten: sizes must be non-emptyrK  rK  r7  r5  rM  zunflatten.<locals>.<lambda>  r  r7  rN  )	rj  r  r  r_  r`  rQ  r  rY  rR  )r}  r  r.  s      r5  r  r    so    

 
 
-C	LLUq"NO66%&u5aggcAgi>P8QQRRr7  r   c                 H   ddl m} t        j                  | j                        t        j                  t        | j                        dkD  d         || j                     dk(        ryt        fdt        j                  | | j                           D              S )Nr   rA  c                       y)Nz5Dimension specified as 0 but tensor has no dimensionsrK  rK  r7  r5  rM  zunbind.<locals>.<lambda>  r  r7  rK  c              3   J   K   | ]  }t        j                  |        y wrD  )r_  r   )rG  sr  s     r5  rI  zunbind.<locals>.<genexpr>  s!      
&'EMM!S!
s    #)rX  rB  rj  r  r  r_  _check_indexrQ  rR  rY  r   )r   r  rB  s    ` r5  r  r    s    J

 
 
-C	AGGqG AGGCLA-. 
+0+=+=as+S
 
 	
r7  r  r  c                 d    | j                  t        j                        j                  |||      S r  )r   r_  r   rJ   )rH  r  r  r  s       r5  rI   rI     s-    77!8!879EEUF r7  c                    t        j                  | j                  |      }t        j                  j                  dk  fd       | j                  dk(  r| j                  d      n| }t        d       f|z  fz   }|||<   | S )NrN  c                  $    d j                    dS Nz(Index should have dimension 1 or 0 (got r  rk  r  s   r5  rM  zindex_copy_.<locals>.<lambda>      :5::,aH r7  r   )rj  r  r  r_  r`  r  slice)rH  r  r  r  ro  rW  s     `   r5  rJ   rJ     ss    

!
!!&&#
.C	LL

aH
 &&A+A1A;.3
%
)CAcFHr7  c                 "    t        | |||d      S )NFinplace_index_fillrH  r  r  r  s       r5  rL   rL     s    
 q#ueU;;r7  c                 "    t        | |||d      S )NTr  r  r  s       r5  rM   rM     s     q#ueT::r7  r  c                "   t        j                  j                  dk  fd       t        t              r't        j                  j                  dk(  fd       n7t        j
                  | j                  | j                  | j                        | j                  dk(  }|r| j                  d      n| }t        |j                        }j                         ||<   j                  |      |rt        j                  nt         j                   } |||      }	|r| S |r|	j#                  d      j%                         }	|	j'                         | j'                         k7  r(t        j(                  |       }
|
j+                  |	       |
}	|	S )NrN  c                  $    d j                    dS r  rk  r  s   r5  rM  z_index_fill.<locals>.<lambda>  r  r7  r   c                  $    d j                    dS )Nz<Only supports 0-dimensional value tensor. Got a tensor with r  rk  r  s   r5  rM  z_index_fill.<locals>.<lambda>  s     !!&L: r7  )r  r  r4  )r_  r`  r  r;  r#   r$  r  r  r4  r  r,  rR  r  r   r?  rJ   rI   r   r   r%  r  copy_)rH  r  r  r  r  zero_dimro  rR  rI   r  new_outs     ``       r5  r  r    s;    
LL

aH %$JJ!O:	
 ##''8888	
 vv{H"AAMEE#JLLE'.##E4D4DJ
QUE
*C++a.&&(C::<188:%&&q)GMM#C
r7  c                h    | j                  t        j                        j                  ||||      S )Nr  rC  )r   r_  r   
index_add_)rH  r  r  r  rD  s        r5  rH   rH     s:     77!8!879DD	 E  r7  c                    t        j                  | j                  |      }t        j                  j                  dk  fd       j                  dk(  rj                  d      | j                  dk(  r5t        j                  |       j                  d| j                              S t        d       f|z  fz   }| |   S )NrN  c                  $    d j                    dS r  rk  r  s   r5  rM  zindex_select.<locals>.<lambda>  r  r7  r   )
rj  r  r  r_  r`  r  r  rI   r   r  )rH  r  r  rW  s     ` r5  rK   rK     s     
!
!!&&#
.C	LL

aH zzQ"vv{ "--aE8JKK;.3
%
)CS6Mr7  c                     ddl m |Rt        d t         j                        D              }|rt        j                   |      S t        j                         S  j                  }t        j                  ||      }t        |t              r|fn|}|dk(  r*t        |      dk(  s|dk(  sJ t        j                         S t         fd|D              }t        |      dk(  rt        j                         S t        |      dk(  rt        j                   |      S t        |      }t        |d      }|D ]  }t         |         S )	Nr   rA  c              3   2   K   | ]  \  }}|d k(  s|  ywr:  rK  )rG  rW  r)  s      r5  rI  zsqueeze.<locals>.<genexpr>$  s     JYS$	SJs   r  c              3   T   K   | ]  } j                   |   d k(        s| ! ywr:  r  )rG  dr}  rB  s     r5  rI  zsqueeze.<locals>.<genexpr>0  s%     Jq$8q$IJs   ((rN  T)r  )rX  rB  rY  r\  rR  r  r   r?  r  rj  r  r;  r   rQ  r,  r  )r}  r  r0  r  	dims_listr  rB  s   `     @r5  r   r     s   J
{J)AGG*<JJ)-u}}Q%C5==3CC66D

!
!$
,CS)C6sDqy4yA~--}}Q JDJJD
4yA~}}Q
4yA~}}Q%%T
Iy$/I AqMHr7  split_sizesc                     t        t                    D ]  }t        j                  |   d         t        j                  t
        t        j                         j                     k(   fd       g } j                         }D ]e  }t         j                        }||<   |j                   j                  | j                         |             | j                            |z  z   }g |S )Nc                       y)NzCsplit_with_sizes expects split_sizes have only non-negative entriesrK  rK  r7  r5  rM  z"split_with_sizes.<locals>.<lambda>E  r  r7  c                  T    dt        j                         dj                       S )NzSplit sizes add up to z but got the tensor's size of )r*  r   rR  )r  r  r  s   r5  rM  z"split_with_sizes.<locals>.<lambda>J  s.    (k)B(CCabfblblmpbqars r7  )r]  rQ  r_  _check_is_sizer  r^  r*  r   rR  r+  r,  r  r   r%  )r  r  r  r  splitsrl  
split_sizer  s   ```     r5  r   r   <  s     3{#$ 
NY	


 
[!TZZ_4s F  "F! :
$	#	# 	dooiGH$++-,z99: Mr7  indices_or_sectionsc                    t        j                  | j                  |      }| j                  dk(  rd}t        |      t	        |t
              rj|j                  j                  dk(  sd|j                   }t        |      |j                  t        j                  k7  rd|j                   }t        |      t	        |t              st	        |t
              r|j                  dk(  rt	        |t              r|n|j                         }|dk  rd| }t        |      | j                  |   }t        j                   ||z        }||z  }g }	t#        |      D ]  }
|
|k  r|dz   n|}|	j%                  |       ! t'        t(        j+                  | |	|            S |}t	        |t
              r:|j                  dk7  rd	|j                   d
}t        |      |j-                         }dgt/        |      z   | j                  |   gz   }t#        t1        |      dz
        D cg c]  }||dz      ||   z
   }	}t'        t(        j+                  | |	|            S c c}w )Nr   zXtensor_split: received a rank zero tensor, but expected a tensor of rank one or greater!re  z\tensor_split: if indices_or_sections is a tensor it must be on the CPU, but received one on zgtensor_split: if indices_or_sections is a tensor it must have long dtype,  but received one with dtype zAtensor_split: number of sections must be greater than 0, but was rN  r  zntensor_split: non-scalar indices_or_sections tensors must have only one dimension, but received a tensor with r%  )rj  r  r  r^  r;  r#   r4  r2  r  r_  longr   r   r   rR  r  rE   r]  r  rY  r  r   tolistr,  rQ  )r}  r  r  _dimr  sectionsr  min_split_sizenum_splits_one_extrar  	split_idxr  indicesr  s                 r5  r   r   \  s~   
 !!!&&#.Dvv{ho %z2"))..%7'':'A'A&BD  S/!$$

200C0I0I/JL  S/! %w/&
38K8P8PTU8U -v6  $))+ 	 q=UV^U_`CS/!774=Hx$78'(2x 	+I  44 "# 
 z*	+ T**1kt*DEE &):6"''1,22E2J2J1K;X  !o%)002G#W%7<A#g,QRBR<STqwq1u~
2TTT**1kt*DEE Us   Ic                     t        j                   j                  dk\   fd        j                  dk(  rdndt        t              rDt        j                  dk7  xr  j
                     z  dk(   fd       t               S t        j                  t        t        t        f      fd       }t         |      S )NrN  c                  :    dt         j                        z   dz   S )NzPtorch.hsplit requires a tensor with at least 1 dimension, but got a tensor with  dimensions!rn  r  r|  s   r5  rM  zhsplit.<locals>.<lambda>  #    ^!&&k r7  r   c                  |    dt              z   dz   t         j                           z   dz   t              z   dz   S )Nz0torch.hsplit attempted to split along dimension z , but the size of the dimension $ is not divisible by the split_size ri  r  )r}  r  r  s   r5  rM  zhsplit.<locals>.<lambda>  sX    Bc(45 aggcl#$ 9	9
 j/"  r7  c                       dt                S )Nzhsplit(): received an invalid combination of arguments. Expected indices_or_sections to be of type int, list of ints or tuple of ints but got type r1  r  s   r5  rM  zhsplit.<locals>.<lambda>       !4568 r7  
r_  r`  r  r;  r   rR  r   _check_typer,  rY  )r}  r  r  r  r  s   `` @@r5  r   r     s     
LL	!	
 vv{!C%w/(
1_?
!:a!?	
 Az3//	&u6	
 &K;,,r7  c                 r    t        j                   j                  dk\   fd       t        t              rCt        j                  dk7  xr  j
                  d   z  dk(   fd       t         d      S t        j                  t        t        t        f      fd       }t         |d      S )Nr!  c                  :    dt         j                        z   dz   S )NzPtorch.vsplit requires a tensor with at least 2 dimension, but got a tensor with r  r  r|  s   r5  rM  zvsplit.<locals>.<lambda>  r  r7  r   c                  0    d j                   d    d dS )NzQtorch.vsplit attempted to split along dimension 0, but the size of the dimension r   r  ri  r  )r}  r  s   r5  rM  zvsplit.<locals>.<lambda>  s*    3771:,6, r7  c                       dt                S )Nzvsplit(): received an invalid combination of arguments. Expected indices_or_sections to be of type int, list of ints or tuple of ints but got type r1  r  s   r5  rM  zvsplit.<locals>.<lambda>  r  r7  r  )r}  r  r  r  s   `` @r5  r  r    s     
LL	!	
 %w/(
1_=j!8A!=
	
 Az1--	&u6	
 &K;**r7  rl  c                     | j                         t        j                  dv fd       dk(  rt        j                  | |      S t        j                  | |      S )N)rN  r!  c                      d  dS )Nz'diag(): Supports 1D or 2D tensors. Got DrK  rk  s   r5  rM  zdiag.<locals>.<lambda>  s    "I$q Q r7  rN  )r  r_  r`  r   r   )r  rl  r  s     @r5  r   r     sU     88:D	LLQ qyf--""400r7  r  dim2c                     t        j                  |       }|j                  |||      t        j                  j
                  j
                  k(  fd       t               |S )Nc                  <    dj                    d j                    S )NzCexpected src to have a size equal to the diagonal of the input.Got z for a diagonal of shape r  )r   r  s   r5  rM  z"diagonal_scatter.<locals>.<lambda>  s$     yyk24::,@ r7  )rj  clone_preserve_stridesr   r_  r`  rR  r   )r  r  rl  r  r  r  r   s    `    @r5  r   r     sZ     
&
&u
-C<<d+D	LL

cii	@
 D#Jr7  c                    | j                         }t        j                  |      t        j                  |      t        j                  k7  fd       | j                         }|dk\  r<t        t        | j                            | j                            |z
        d      }n;t        t        | j                            |z   | j                                  d      }|dkD  r8|dk\  r||| j                            z  z  }n||| j                            z  z  }t        | j                               D cg c]  \  }}|fvs| }	}}|	j                  |       t        | j                               D cg c]  \  }}|fvs| }
}}|
j                  | j                            | j                            z          | j                  |	|
|      }|S c c}}w c c}}w )z4
    Reference implementation of torch.diagonal
    )rW  rankc                      d  d S Nz(diagonal dimensions cannot be identical r  rK  r  r  s   r5  rM  zdiagonal.<locals>.<lambda>(       HbQUPVW r7  r   )r)  r%  r+  )r  rj  r  r_  r`  r+  r[  r  r)  r%  r\  r  r   )r  rl  r  r  num_dimsr+  	diag_sizer  r  r.  r|  r  s     ``        r5  r   r     s    xxzH!!d:D!!d:D	LLW ((*N{DIIK-tyy{4/@6/IJAN	DIIK-6		D8IJAN	1}Q;ft{{}T':::Nft{{}T':::N$TYY[1K41aQtTl5JQKEK	LL&t{{}5OTQ4,9NqOGONN4;;=&t)<<=__%_WFM L Ps   G(G(G.G.c                 8   | j                   dz   }t        j                  |      t        j                  |      kD  rc| }t        j                  k7  fd       | j                  d      }|dk7  rt        | j                        }t        j                  |      |d<   t        j                  || j                  | j                  d      }|dkD  r|| fn| |f}t        j                  |d      } |t        j                  |      z  }| j                        j                  d      } t        j                   || j                  t        j"                  	      }	t        j                   |||z   | j                  t        j"                  	      }
|	|
j                  d      k(  }t%        t'        | j                              D cg c]  }|fv r|nd }}|j)                  |      }t        j*                  ||       j-                         S c c}w )
z6
    Reference implementation of torch.diag_embed
    rN  )r  rW  c                      d  d S r  rK  r  s   r5  rM  zdiag_embed.<locals>.<lambda>Z  r  r7  rS  r   Fr  r4  r  r  r4  r  )r  rj  r  r_  r`  r)  r,  rR  r*  r-   r&  r  r4  r   r  r   r  r0  r]  rQ  r   mask_tensorr   )r   rl  r  r  r  r  t_shapezpaira_rangeb_rangecondr  
cond_shapes     ``          r5  r   r   C  s    66A:D!!t6D!!t6D d{4
d	LLW
 vvbzH{qww-ll6*KKqwwqxxuU!1v!QIId#HLL(( 	
D!!"d+A ll8AHHEKKHGll6!!((%++G
 g''++D@Ec!''l@ST1aD$</(Q6TJT<<
#D T1%0022 Us   Hc                   
 | D cg c])  }|j                         dk  r|j                  dd      n|+ }}t        j                  d |D              }|d   j                  
g }d}t        |      D ]  \  t        j                  j                         dk(  fd       t        j                  j                  
k(  
fd       j                  \  }}t        j                  ||f
j                        }t        j                  |||z
  |z
  f
j                        }	|t        j                  ||	fd	      gz  }||z  } t        j                  |d	      S c c}w )
z6
    Reference implementation of torch.block_diag
    rN  rS  c              3   :   K   | ]  }|j                   d      ywr:  r  )rG  r  s     r5  rI  z'_block_diag_iterable.<locals>.<genexpr>  s     BVaBs   r   r!  c                  2    d  dj                          dS )Nz5Input tensors must have 2 or fewer dimensions. Input z has r%  r  )r  r  s   r5  rM  z&_block_diag_iterable.<locals>.<lambda>  s"     CuVZZ\N+7 r7  c                  0    d  d dj                    dS )NzCInput tensors must all be on the same device. Input 0 is on device z and input z is on device rY  r3  )r4  r  r  s   r5  rM  z&_block_diag_iterable.<locals>.<lambda>  s(     $$*8;qcVWY r7  r  r  )r  r  r*  r   r4  r\  r_  r`  rR  r&  r  r   )r  r  
tensors_2dncolsr  	col_startrowcolrQ  rightr4  r  s    `        @@r5  _block_diag_iterabler*  }  sY    KR@Ffjjla/ArV;J  LLBzBBE]!!FFIz* 	6JJLA7	

 	MMV#Y	

 <<S{{C+F&,,O%)#c)*6
 	599dFE2:;;S	#& 99V##;s   .E$c                      t        |       S )z
    This is used as an input to PythonRefInfo. `torch.block_diag`
    expects arguments splatted, but `aten.block_diag` expects only
    one argument that is a list of Tensors.
    )r*  r  s    r5  r   r     s      ((r7  r  c                    | j                   dk  rt        d| j                    d      t        |t              r<|dk(  s| j                  d   |z  dk7  r"t        dd| j                  d    d| d	z         t        | |d      S )
Nr  zPtorch.dsplit requires a tensor with at least 3 dimension, but got a tensor with r  r   r!  z3torch.dsplit attempted to split along dimension 2, zbut the size of the dimension r  ri  )r  rm  r;  r   rR  r   )r}  r  s     r5  r   r     s    vvz^_`_e_e^ffrs
 	
 (G$(a-1771:;PTU;UA.qwwqzl:^_g^hhijk
 	
 8Q''r7  c                     | j                   dkD  rt        d| j                    d      t        j                  | d| j                   dk  rd      S d      S )Nr!  z7t() expects a tensor with <= 2 dimensions, but self is r  r   rN  )r  rm  r_  r   r|  s    r5  r   r     sS     	vvzEaffXQO
 	
 ??1aaffqj88a88r7  c                 h    t        j                  | j                  dv d        | j                         S )N)r   r!  c                       	 y)NzcThe use of `x.T` on tensors of dimension other than 0 or 2 to reverse their shape is not supported.rK  rK  r7  r5  rM  zT.<locals>.<lambda>  s    7 r7  )r_  r`  r  r   r|  s    r5  r   r     s,    	LL	&	
 335Lr7  c                 ,    t        j                  |       S rD  )r  r?  r|  s    r5  r   r     r  r7  r  c                 0   t        j                  | j                  ||f      \  }}| j                  dk  s||k(  rt        j                  j                  |       S t        t        d| j                              }|||<   |||<   t        j                  | |      S )NrN  r   )
rj  r  r  r  r   defaultr,  r]  r_  r   )r}  r  r  _dim0_dim1r  s         r5  r   r     s    **166D$<@LE5vv{ddlzz!!!$$a()LLL==L))r7  c                 z    t        | j                  | j                         |||      \  }}| j                  ||      S rD  )r}  rR  r%  r   )r  rA  r)  rB  rR  r|  s         r5  r  r    s:     .

DKKM9dDNE7 ??5'**r7  c                 d    | j                  |||      j                  t        j                        S r  )r  r   r_  r   )r  rA  r)  rB  s       r5  r  r    s2     ;;y$-33-- 4  r7  c                   |j                   }t        j                  ||      }|dk(  r | |j                  d      d||      S |j                  |dz         }t	        j
                  |j                  |   |j                        }|j                  d      |k  }t        ||z
  dz
        D ]  }	|j                  d      } t	        j                  |||      }
 | |
|||      S )Nr   )r  r  r  rN  r3  rS  )
r  rj  r  r  r_  r  rR  r4  r]  r   )r  initr}  r  r  r  r  rgrq  r  masked_as              r5  _cumsumprod_commonr;    s     66D

 
 s
+CqyAKKNC@@	C!GA	aggcl188	4B<<?b D4#:>" "~~b!"{{4D)HcC88r7  c                ,    t        t        d| |||      S )Nr   r  r8  r}  r  r  r  )r;  r   r}  r  r  r  s       r5  r   r     s     3Q!EsSSr7  c                ,    t        t        d| |||      S )NrN  r=  )r;  r   r>  s       r5  r   r   $  s     4a1#UPSTTr7  c                 ~    | j                   dz   }t        j                  ||      }t        j                  | |f|      S )NrN  rk  )r  rj  r  r  expand_dims)r}  r  r  s      r5  r  r  0  s:     66A:D

 
 s
+CQT22r7  c                      t        | g|ddiS )Nr  Fr  r8  s     r5  r  r  =  s    <E<e<<r7  c                 @    | j                  |j                               S rD  )r  r)  r  s     r5  r  r  C  s    99UZZ\""r7  c                     t        | d      S )N)rS  )r   r|  s    r5  r   r   H  s    1er7  r  c                     t        j                   j                  j                  k(   fd       t        j                  t        j                  j
                        fd       |5t        j                   j                  d      dj                  d            S t         j                        }j                  |      ||<   t        j                  |j                               }t        |      }t        j                        } j                  |      ||<   t        j                  | j                               }t         |      }t        j                  |||      S )Nc                  >    d j                    dj                    dS )Nz]torch.take_along_dim(): input and indices should have the same number of dimensions, but got z dimensions for input, and z dimensions for indicesrk  )r}  r  s   r5  rM  z take_along_dim.<locals>.<lambda>T  s*    --.VVH4O||n35 r7  c                  $    d j                    dS )Nz?torch.take_along_dim(): dtype of indices should be int but got z insteadr  )r  s   r5  rM  z take_along_dim.<locals>.<lambda>]  s    M}}oX' r7  rS  r   )r_  r`  r  rj  r  r  gatherr  r,  rR  r)  infer_size_shapesr   )r}  r  r  
self_sizesbroadcast_shapeindices_broadcastindices_sizesself_broadcasts   ``      r5  r   r   N  s    
LL	',,	
 
LLw}}-	
 {||AFF2J7<<+;<<!'']
!,,s+
311*gllnM(/BW]]+VVC[c11-J%a9||NC1BCCr7  r  r  r4  r  r  r  r  c           	         t        j                  t         j                  k7  d        t        j                  |      }t         j
                  k(  rt        j                  |      }nht         j                  k(  rt        j                  |      }n?t        j                  t         j                  k(  fd       t        j                  |      }t        j                  ||| ||||      S )Nc                       y)Nz8torch.empty: the Preserve memory format is not supportedrK  rK  r7  r5  rM  zempty.<locals>.<lambda>  r  r7  c                      d  dS )Nz/torch.empty: received an unknown memory format ri  rK  r  s   r5  rM  zempty.<locals>.<lambda>  s    Em_TUV r7  r  r  r4  r  r  )r_  r`  r  rj  r<  r   r  channels_last_3d!make_channels_last_3d_strides_forchannels_last!make_channels_last_2d_strides_forr  )r  r  r4  r  r  r  rR  r|  s        `  r5  r  r  s  s     
LL...J
 ,,U3E///33E:	%00	099%@U000V	
 99%@# r7  c                 6    t        j                  | ||||      S )Nr  )r  r  )rR  physical_layoutr  r  r4  r  r  s          r5  r  r    s&     # r7  r  r  r4  r  c                    || j                   n|}|| j                  n|}|| j                  n|}t        j                  |||||      S )Nr  r4  r  r  )r  r  r4  r_  r  )r}  r)  r  r  r4  r  s         r5  r  r    sQ     }AGG%EQXXVFQXXVF;; r7  c                    || j                   n|}|| j                  n|}|| j                  n|}t        j                  ||||||      S )zD
    Reference implementation of torch.Tensor.new_empty_strided
    r\  )r  r  r4  r_  r  )r}  r)  r%  r  r  r4  r  s          r5  r  r    sV      }AGG%EQXXVFQXXVF r7  rS  c           	          t        j                  |      }| t        j                         } t        j                  || t        j
                  k(  rdnd| ||||      S NFr   rS  rj  r<  r_  r  r  r  r  r  r4  r  r  r)  s         r5  r&  r&    sZ     ++D1D}'')::%**$!# r7  c          	          || j                   n|}|| j                  n|}|| j                  n|}t        j                  ||xs | j                   t        j
                  k(  rdnd|||||      S r_  r  r  r4  r_  r  r  r}  r)  r  r  r4  r  r  s          r5  r   r     sm     }AGG%EQXXVFQXXVF::"177uzz1q# r7  c           	          t        j                  |      }| t        j                         } t        j                  || t        j
                  k(  rdnd| ||||      S NTrN  rS  r`  ra  s         r5  r!  r!    sZ     ++D1D}'')::## r7  c          	          || j                   n|}|| j                  n|}|| j                  n|}t        j                  ||xs | j                   t        j
                  k(  rdnd|||||      S rf  rc  rd  s          r5  r  r  2  sm     }AGG%EQXXVFQXXVF::!!''ejj0a# r7  
fill_valuec                    || j                   n|}|| j                  n|}|| j                  n|}t        j                  ||||||      S )NrZ  )r  r  r4  r_  r  )r}  r)  rh  r  r  r4  r  s          r5  r  r  M  sT     }AGG%EQXXVFQXXVF:: r7  )r  r4  r  r  r  r  c          	      J   || j                   n|}|| j                  n|}|| j                  n|}|t        j                  k7  r&t        j
                  | j                  ||||||      S t        j                  |       }t        j                  | j                  ||||||      S )NrO  rS  )
r  r  r4  r_  r  r  rR  rj  3compute_elementwise_output_logical_to_physical_permr  )r}  r  r4  r  r  r  r  logical_to_physical_perms           r5  r  r  g  s     }AGG%EQXXVFQXXVF---{{GG'!'
 	
 	AA!D  	 # r7  rq  c                r    t        j                  |       t        j                  |       t        j                  t        j
                  |            }t         t              rJ t        t              rJ t        t              rJ  d t        j                  dk7  d        dkD  rt        j                   k\  d        ndk  rt        j                   k  d        d }t        j                   |       xr  |       fd       t        j                   |      fd        f}	t        j                  d |	D              }
|&|
rt        j                  nt        j                         }t        j                  |      }|s|
r!t               }t              }t              }|t        j                  k(  s|
r,t        dkD        t        |dk        z
  }z
  |z   |z
  |z  }nt!        j"                   z
  z        }|rt%        j&                  ||||	      S t%        j&                  |dd
t        j                  |d	      }|
rt        j(                  nt        j*                  ||      }t-        ||      } |z  z   }t-        ||      }|r|j/                  d       |S )Nr   c                       y)Nzstep must be nonzerorK  rK  r7  r5  rM  zarange.<locals>.<lambda>  r  r7  c                       yNz7upper bound and lower bound inconsistent with step signrK  rK  r7  r5  rM  zarange.<locals>.<lambda>  r  r7  c                       yrp  rK  rK  r7  r5  rM  zarange.<locals>.<lambda>  r  r7  c                 R    t        | t               xs t        j                  |       S rD  )r;  r   r  rN   rL  s    r5  	is_finitezarange.<locals>.is_finite  s!    a!566J$--:JJr7  c                      d d  S )Nzunsupported range: z -> rK  )rq  r  s   r5  rM  zarange.<locals>.<lambda>  s    %eWD6 r7  c                      d  S )Nzstep must be finite but got rK  ry  s   r5  rM  zarange.<locals>.<lambda>  s    .tf5 r7  c              3   <   K   | ]  }t        |t                y wrD  rE  rG  ry  s     r5  rI  zarange.<locals>.<genexpr>  s     IS
3 8I   )r  rB  r  r4  r  rN  FT)rj  check_layoutcheck_pin_memoryr_  r4  device_or_defaultr;  r  r`  r*  r   r0  r  r  r   r  r  r5   r  iotar  get_acc_typer'   requires_grad_)r  rq  rB  r  r  r4  r  r  rs  rq  integer_args
is_integerxstartxendxsteprg   r  r  r  r  s   ```                 r5  r  r    sz    
v	:&\\%11&9:F%)))#w'''$((( {	LL:;ax5LM	
 
5LM	

K 
LL%+Ys^6 
LL$5
 3D<<IDIIL}+1H1H1J''.J\s| |519oUQY/-%'#-%7C%K4/0zz'
 	
 JJkkE #

(:(:5&(I  $E+<=ETE\!F$VU3Fd#Mr7  )r  rq  r  c                    | |g}t        |t              r| j                  d|      }n|j                  |       t        |t              sJ |j                         dk\  }t        j                  ||dz
  |      }t        j                  |||       }||| z
  z  |z   }t        j                  t        |  }|j                         |k7  rt        j                  ||      }t        ||      S )NrK  r^  rN  )r;  r   r  r  r?  r-   r_  r   rj  "compute_elementwise_output_stridesrr  r%  r  copy_stridedr?  )	r  rq  r  r  rq  coeffbaser>  r%  s	            r5  rU   rU     s     S\F&&!F+fff%%% ::<3DKKfqj&1E;;tS%(DcEk"T)F557G7PQF}}& ##FF3'77r7  )r  r4  r  r  r  stepsc          
      R    t         t              rBt        j                   j	                         dk(  d        t         t        j                         t        t              rBt        j                  j	                         dk(  d        t        t        j                        t        j                  d  fD              rZt        j                  t        j                               nFt        j                  t        j                        fd       nxs t        j                         t        t        j                        sJ t        j                  t        t               fd       t        t              sJ t        j                  dk\  d        ||||d}dk(  rt        j                   dd	i|S d
k(  rwt         t              rMt        j"                  ffd	i|}	t        j$                  j&                  j(                  j+                  |	       S t        j                   f fd	i|S t        j,                  dfi |}
t        j.                        st        j0                        rt        j2                  n}t        j4                  |
t6        j8                  |      \  }}t;        t
        |      } z
  d
z
  z  }t        j<                  |
dz  k   | ||
      z  z   | |d
z
  |
z
        z  z
        }t        |      S )Nr   c                       yNz:linspace only supports 0-dimensional start and end tensorsrK  rK  r7  r5  rM  zlinspace.<locals>.<lambda>&  r  r7  c                       yr  rK  rK  r7  r5  rM  zlinspace.<locals>.<lambda>,  r  r7  c              3   <   K   | ]  }t        |t                y wrD  r;  r  rw  s     r5  rI  zlinspace.<locals>.<genexpr>0       LJsG,Lrx  c                      d  d S )Nzlinspace(): inferred dtype z& can't be safely cast to passed dtype rK  )default_complex_dtyper  s   r5  rM  zlinspace.<locals>.<lambda>9  s    56K5LLrsxryz r7  c                      dt              j                   dt               j                   dt              j                   dS )Nz4received an invalid combination of arguments - got (r  r  )r2  r  )rq  r  r  s   r5  rM  zlinspace.<locals>.<lambda>B  sD     u+r$s),,-RU0D0D/EQH r7  c                       y)Nz$number of steps must be non-negativerK  rK  r7  r5  rM  zlinspace.<locals>.<lambda>F  r  r7  )r  r4  r  r  r  rN  r  r!  )r  r   )r;  r$   r_  r`  r  r'   rb  r*  r   rj  r-  r  r  r  r   r   r  r  opsr  r  r2  r  r  r  r0  r  r    r1  r   r   )r  rq  r  r  r4  r  r  r  factory_kwargsempty_tensorr9  	dtype_redr  r  cast_rgrB  r  r  s   ````             @r5  r  r    s    %(IIK1P	
 (u}}=#~&GGINP	
 &c5==9||LU8KLL % A A##%!
 =)ELL&&u-z
 2002eU[[))) 
5'"	H
 eW%%%	LL!KL  &	N zzzAA.AAze^, ;;xOuOOL99>>&&..|UCC::uhMUMnMM 
a	1.	1B
 ""5)U-C-CE-J 	 
 !11
&++Yq -5FGG %KEAI&D
++
UQYwr{""dWeai2-...C
 #3..r7  r  c          
      V   |t        j                         }t        j                  j	                  |      rt        | t              rt        |       } nDt        | t              r4t        j                  | j                         dk(  d        t        | |      } t        |t              rt        |      }nDt        |t              r4t        j                  |j                         dk(  d        t        ||      }t        j                  d | ||fD              r,t        j                  t        j                               }	|	}d }
nt         j                  }
t        |t               rJ |dk  rt"        t        j$                  | |||
||||      }t        t        j&                  ||      |      S )Nr   c                       yNz:logspace only supports 0-dimensional start and end tensorsrK  rK  r7  r5  rM  zlogspace.<locals>.<lambda>  r  r7  c                       yr  rK  rK  r7  r5  rM  zlogspace.<locals>.<lambda>  r  r7  c              3   <   K   | ]  }t        |t                y wrD  r  rw  s     r5  rI  zlogspace.<locals>.<genexpr>  r  rx  rS  )r_  r  r  rj  r  r;  r   r   r$   r`  r  r'   r*  r   r-  rb  r  r  r  r   )r  rq  r  r  r  r4  r  r  r  r  _dtyperets               r5  r  r  p  sb    }'') {{##E*eY'ENE~.LL		q T ,E59Ec9%#,C^,LL	QT *#u5C||LU8KLL % A A##%!
 &$(((ax!!
..#	C #599T3#7??r7  indexingc                      y rD  rK  )r  r  s     r5  r   r         r7  c                      y rD  rK  )r  r  s     r5  r   r     r  r7  c                     t        |d   t        t        f      rt        |      dk(  sJ t        |d         }t	        j
                  t        j                  d |D              d        t	        j
                  t        |      dkD  d        t        t        |      dz
        D ]p  }t	        j
                  ||   j                  ||dz      j                  k(  d        t	        j
                  ||   j                  ||dz      j                  k(  d        r d} d	k(  r!t        |      d
k\  }|r-|d   |d   g|d
d  }nt	        j
                   dk(   fd       g }|D ]j  t        t              sJ t	        j
                  j                  dk(  xs j                  dk(  fd       |j                  j                                l g }t        |      D ]^  \  }t        t              sJ j                  dk(  rj!                  d      |j                  t#        j$                  ||f             ` |r|d   |d   c|d<   |d<   |S )Nr   rN  c              3   <   K   | ]  }t        |t                y wrD  r;  r#   r|  s     r5  rI  zmeshgrid.<locals>.<genexpr>  s     @1Z:.@rx  c                       y)Nz)meshgrid expects its inputs to be tensorsrK  rK  r7  r5  rM  zmeshgrid.<locals>.<lambda>  r  r7  c                       y)Nz'meshgrid expects a non-empty TensorListrK  rK  r7  r5  rM  zmeshgrid.<locals>.<lambda>  r  r7  c                       y)Nz3meshgrid expects all tensors to have the same dtyperK  rK  r7  r5  rM  zmeshgrid.<locals>.<lambda>  r  r7  c                       y)Nz4meshgrid expects all tensors to have the same devicerK  rK  r7  r5  rM  zmeshgrid.<locals>.<lambda>  r  r7  Fxyr!  ijc                      d  S )NzDtorch.meshgrid: indexing must be one of "xy" or "ij", but received: rK  )r  s   r5  rM  zmeshgrid.<locals>.<lambda>  s    !!)
, r7  c                      d  S )NzEtorch.meshgrid: Expected 0D or 1D tensor in the tensor list but got: rK  )r   s   r5  rM  zmeshgrid.<locals>.<lambda>  s    [\][^_ r7  r  )r;  r,  rY  rQ  r_  r`  r*  r   r]  r  r4  r#   r  r  r  r\  r  r  r  )r  r  r  swap_first_and_second_tensorsresult_shapegridsr   s   `     @r5  r   r     s6    '!*tUm,7|q   
#	LL@@@;
 
LLW!#TU3w<!#$ 
AJA 4 44I	
 	AJQ!6!66J	

 %*!4(+G(9%(qz71:<<G	
 !L '!Z(((FFaK&166Q;_	
 	AGGI&' #%E'" D1!Z(((66Q;tAU++A|aTBC	D %"1XuQxa%(Lr7  sourcedestinationc                 V   t              t        u rft              t        u rft        j                  t	              t	              k(  fd       | j
                  }t        t        j                  |            }t        t        j                  |            }t        |      }t        |      }t        j                  t	        |      t	        |      k(  fd       t        j                  t	        |      t	        |      k(  fd       t        t        ||            }g }	d}
t        |      D ]K  }|j                  |      }||	j                  |       (|
|v r
|
dz  }
|
|v r
|	j                  |
       |
dz  }
M t        j                  | t        |	            }|S )z3
    Reference implementation of torch.movedim
    c                  :    dt               dt                dS )Nz5movedim: Invalid source or destination dims: source (z> dims) should contain the same number of dims as destination (z dims)r,  )r  r  s   r5  rM  zmovedim.<locals>.<lambda>  s.    V~ ''+K'8&9A r7  )r  r  c                  "    dt                dS )Nz#movedim: repeated dim in `source` (r  r  )r  s   r5  rM  zmovedim.<locals>.<lambda>  s    5d6l^1E r7  c                  "    dt                dS )Nz(movedim: repeated dim in `destination` (r  r  )r  s   r5  rM  zmovedim.<locals>.<lambda>   s    :4;L:MQO r7  r   rN  )r2  rw  r_  r`  rQ  r  rY  rj  r  setdictr  r]  r  r  r   )r  r  r  r  ssdssssdssrd  r0  sidir  r  s    ``           r5  r   r     ss    F|sKC"n 
LLFs;''	
 ::D	u&&D&A	BB	u&&D+F	GB
b'C
b'C 
LLB3s8E 
LLB3s8O
 	SR[AD	
BDk EE"I=KKN )a )KKO!GB ]]5%+.FMr7  )r  r4  r  r  r  r|  c                   t        j                  |       t        j                  |       t        j                  |       } |t	        j
                         n|}|t	        j                  d      n|}t        j                  | ||||      S )Nre  r  )	rj  ry  rz  r<  r_  r  r4  r  r  )rR  r|  r  r4  r  r  r  s          r5  r  r  9  sz     
v	:&,,U3E).E##%EE$*NU\\% F# r7  nrd  c                     t        j                   dk\   fd       t        j                  dk\  fd       t        j                   t         j                  |d      }t        j                  t         j                  |d      }|j	                  d      |k(  }	|t         j
                  u r|	S t        j                  d||||d      }
t        j                  |	|
d      S )	z/
    Reference implementation of torch.eye
    r   c                      d  S )Nz%n must be greater or equal to 0, got rK  )r  s   r5  rM  zeye.<locals>.<lambda>h      #H!L r7  c                      d  S )Nz%m must be greater or equal to 0, got rK  )rd  s   r5  rM  zeye.<locals>.<lambda>i  r  r7  Fr  rS  r  rS  )r_  r`  r  r0  r  r  r!  r   )r  rd  r  r  r4  r  r  range_nrange_mr  ones   ``         r5  r  r  V  s     	y	LLaLM	LLaLMll1EKKeTGll1EKKeTGR G+D

jj!
 {{4a((r7  c                   t        j                  |       t        j                  |       ||nt        j                  t	        |            }||nt        j                  d      }t        | |||||      }t        j                  ||      S )Nre  rS  )	rj  ry  rz  type_to_dtyper2  r_  r4  r  rC   )rR  rh  r  r  r4  r  r  es           r5  r  r    s     
v	:&&EE,?,?Z@P,QE)Vu||E/BF#	A ::a$$r7  r  r  r4  r  r  r  c          	      R    t        j                  | ||||||      }t        ||      S )Nr  )r_  r  rC   )	r}  rh  r  r  r4  r  r  r  r  s	            r5  r  r    s8     		##	A :r7  c          
          t        j                  | |xs | j                  t         j                  k(  rdnd||||||      S )NFr   r  r_  r  r  r  r}  r  r  r4  r  r  r  s          r5  r'  r'    sC     ??	"177uzz1q##	 	r7  c          
          t        j                  | |xs | j                  t         j                  k(  rdnd||||||      S )NTrN  r  r  r  s          r5  r"  r"    sC     ??	!!''ejj0a##	 	r7  c                     t        j                  |       t        j                  |      }t        j                  |       } t        j                  |      }t        j                  |dd| ||      S )Nr  r]  )r   r   r  r4  r  )rj  rz  r<  dtype_or_defaultr{  r  r_   )r  r4  r  r  r  rR  r  s          r5  r#  r#    se     
:&--e4F""5)E$$V,F<<# r7  c                    t        j                  |       t        j                  |       ||nt        j                  t	        |             }||nt        j                  d      }t        j                  | ||      S )Nre  rT  )	rj  ry  rz  r  r2  r_  r4  r  r$  )r}  r  r  r4  r  s        r5  r$  r$    se     
v	:&&EE,?,?Q,HE)Vu||E/BFqf==r7  lowhighc                6   t        j                  |        t        |t              sJ t        |t              sJ t	        |      }t	        |      }t        |t
        j                        sJ t        j                  |      }t        j                  | ||||      S )N)r  r  r  r4  )
rj  r  r;  r   r   r_  r  canonicalize_devicer  _uniform_helper)rR  r  r  r  r4  s        r5  r  r    s     
c6"""dF###
C.CT?DeU[[)))&&v.F  Cd%PVWWr7  rq  c                    t        j                  | j                        t        |t              rt        |      }n|j                  t        j                  dk(  fd       | j                  j
                  ddt        j                  j                         dfv xr |j                  j
                  dk(  }t        j                  |xs |j                  | j                  k(  d        t        j                  |j                        }|t        u r-t        j                  t        j                  |      fd       t        || j                        }t        j                  |||       }|j!                         S )	Nr   c                      d  dS )Nz@only supports a 0-dimensional value tensor, but got tensor with z
 dimensionrK  )
value_ndims   r5  rM  zmasked_fill.<locals>.<lambda>4  s    VWaVbblm r7  cudaxpur0  re  c                       y)Nz,Expected `value` to be on same device as `a`rK  rK  r7  r5  rM  zmasked_fill.<locals>.<lambda>>  r  r7  c                      d  dS )Nzcould not convert to type z without overflowrK  )r  s   r5  rM  zmasked_fill.<locals>.<lambda>I  s    0=NO r7  )rj  r   r  r;  r   r2  r  r_  r`  r4  _C_get_privateuse1_backend_namer  r   r'   r   r   )r}  rq  r  
value_typeis_cpu_scalarr  r  r  s         @@r5  r   r   (  s,    %%agg.K% %[
 ZZ
!Om	
 HHMMuxxEEGOP +!!U* 	
 	5U\\QXX5B	
 ((5
W
 	''
K@O	
 $E1773ED%#A <<>r7  c                 V    t        j                  | ||      }| j                  |       | S rD  )r_  r   r  )r}  rq  r  r4  s       r5  r   r   V  s(     	!T5)AGGAJHr7  c                     t        d| |||       t        t        j                  t        j                  | ||||            j                               S )z4
    Reference implementation of torch.allclose
    ztorch.allcloser  )r  r  r  )r  r  r_  r   r   r   )r}  r4  r  r  r  s        r5  r(  r(  `  sH     +qADtL		%--14diPQVVX r7  c                 T   t        j                  | |d       t        j                  | |       | j                  |j                  k7  ryt	        | j
                  |j
                        D ]  \  }}||k7  s y | j                         dk(  ryt        t        t        | |                  S )NFr  r   T)
rj  r  check_same_dtyper  r  rR  r  r   r   r   )r}  r4  rH  ro  s       r5  r)  r)  q  s    	Aq5A	1a  	vvAGGQWW% 16
 	wwyA~Bq!Hr7  r  c                j   |dk(  r | t        |t              st        |      dk  s|d}t        |t              r|g}t        |t              rD|t	        t        | j                              }t        j                  j                  | ||||      S t        j                  j                  | ||||      S )Nfror!  r  )r;  r   rQ  rn  rY  r]  r  r_  r&  matrix_normr'  )r  r  r  r  r  s        r5  r^   r^     s     	
U
z#s';s3x1}	
#se!S ;ejj)*C||''q#we'LL||''q#we'LLr7  c                     t        j                  | j                  dk(  d        t        j                  t        j                  | d            S )Nr!  c                       y)Nz6expected a matrix, but got tensor with dim {self.ndim}rK  rK  r7  r5  rM  ztrace.<locals>.<lambda>  r  r7  r   )r_  r`  r  r   r   r  s    r5  rr   rr     s:     
LL		QX 99UZZa())r7  c                 l     dt         t        t        f   dt         t        t        f   dt        f fd}|S )Nr}  r4  rw  c                      ||       S rD  rK  )r}  r4  base_ops     r5  ropz_make_r_binary_op.<locals>.rop  s     q!}r7  )r   r$   r   )r  r  s   ` r5  _make_r_binary_opr    s=    +,+, 
 Jr7  r   c                 ~   t        j                  | j                  dk\  d        | j                  dd  \  }}t        j                  || j
                        j                  d      t        j                  || j
                        j                  d      z
  |k\  }t        j                  ||       j                         S )Nr!  c                       y)Nz2triu: input tensor must have at least 2 dimensionsrK  rK  r7  r5  rM  ztriu.<locals>.<lambda>  r  r7  rX  r3  rS  
r_  r`  r  rR  r  r4  r  rj  r  r   r}  r   hwrq  s        r5  r  r         
LL	!Q 7723<DAqQqxx(2226
,,q
*
4
4R
8	9	D T1%0022r7  c                 ~   t        j                  | j                  dk\  d        | j                  dd  \  }}t        j                  || j
                        j                  d      t        j                  || j
                        j                  d      z
  |k  }t        j                  ||       j                         S )Nr!  c                       y)Nz2tril: input tensor must have at least 2 dimensionsrK  rK  r7  r5  rM  ztril.<locals>.<lambda>  r  r7  rX  r3  rS  r  r  s        r5  r  r    r  r7  r'  r(  c                    | dk(  s|dk(  ry|dkD  rt        |d|z         nt        | |z   dkD        }t        dt        || |z               }t        dt        | | |z               }||z
  dz   }||z   |z  dz  }||z
  }t        d||z        }	||	|fS )Nr   r   r   r   rN  r!  )r  rw  r[  )
r'  r(  rl  m_first_row
m_last_row	n_row_alln_row_trapezoidtrapezoid_sizediff_rowrectangle_sizes
             r5  _get_tril_sizesr    s    
ax3!8*01*#c1v:&#cFlQ>N:OKQCv./JAs3f-.I ;.2O "J./AQFN?*HHsN+N>;66r7  c                      t        j                  dk\  fd       t        j                  dk\  fd       t        j                  t         j                  t         j                  fv  fd       y )Nr   c                      d  S )Nzrow must be non-negative, got rK  )r'  s   r5  rM  z_trilu_checks.<locals>.<lambda>      %CC5#I r7  c                      d  S )Nzcol must be non-negative, got rK  )r(  s   r5  rM  z_trilu_checks.<locals>.<lambda>  r
  r7  c                      d d  dS )Nr7  z" not implemented for ''rK  )r  r  s   r5  rM  z_trilu_checks.<locals>.<lambda>  s    "TF25'; r7  )r_  r`  r  r0  )r  r'  r(  r  r  r  s   ````  r5  _trilu_checksr    sO     
LLIJ	LLIJ	LL%++u{{++;r7  re  c                   t        d| ||||       t        | ||      \  }}}	t        d|       }
t        t        j
                  |||      } |d|t        j                        }|	dz
  }t	        j                  | t	        j                  ||z  d|z  z         z         }t	        j                  |d|	z  dz
  |z   |z  dz  z
        }t        ||
z   |      }t        ||      } |d||      }||z  ||	z
  dz   |
z   z   }||z  }t	        j                  t	        j                  ||f      t	        j                  ||f      f      S )Nr  r   r  r4  r  r  r^  r!  rN  )r  r  r[  r   r_  r  rb  rE   rn   r'   r   r   )r'  r(  rl  r  r  r4  r  r  r  r   
row_offset	arange_kwxs1r4  	row_inds1	col_inds1xs2	row_inds2	col_inds2s                      r5  r  r    sK    .#sE6:F2A#sF2S/NNKQJVFzI
 A~U]]
;CcAQBAEAGO!<<=IC1{?Q#6#Bi"ORU"UUVI'	J(>FI'	59I A~U
3Cs
cK/!3j@AIc	I;;	Iy)	*EIIy)6L,MN r7  c                     | dk(  s|dk(  ry|dkD  rt        d||z
        n|}t        dt        | |       |z        }t        | ||dz
        \  }}}| |z  ||z   z
  }||z
  }	|	||fS )Nr   r  rN  )r[  r  r  )
r'  r(  rl  r   r  trapezoid_size_trilrectangle_size_trilr  	triu_sizer  s
             r5  _get_triu_sizesr  ,  s    
ax3!8*01*#av&#K CfW-34N 3B#sFUVJ2W/,ac	03FFGI/N>;66r7  c                   t        d| ||||       t        | ||      \  }}}	t        d|      }
t        t        j
                  |||      } |d||      }||z  }||z  } |d|t        j                        }d|	z
  }t	        j                  | t	        j                  ||z  d|z  z
        z
        }t	        j                  |d|	z  dz
  |z
  |z  dz  z
        }t        ||      }t        ||      }|r|||z  z   }||
z   }t	        j                  t	        j                  ||f      t	        j                  ||f      f      S )	Nr  r   r  r  g      r!  rN  r^  )r  r  r[  r   r_  r  rb  rE   rn   r'   r   r   )r'  r(  rl  r  r  r4  r  r  r  r   
col_offsetr  r  r  r  r  r4  r  r  s                      r5  r  r  =  sL    .#sE6:F2A#sF2S/NNKQJVFzI
 A~U
3Cs
Ic	I A~U]]
;C{AQBAEAGO!<<=ICAOa$7)$Cy#PTW"WWXI'	59I'	59I
3!67	J&I;;	Iy)	*EIIy)6L,MN r7  )	out_int32r)  
boundariesr   r)  c                   t        j                  j                         dk(  fd       t        | t         j                        r| nt        j
                  |       } |rt         j                  nt         j                  }j                  d   }|dk(  rt        j                  |       S t        j                  | j                  | j                  t         j                        }||z   }|||z
  dz  z   }|   }	|r|	| kD  }
n|	| k\  }
t        j                  |
||dz         }|dkD  rt        j                  | t         j                        }t        t!        j"                  |            }t%        |      D ]q  }t        j                  |
|z  ||      }||k  }t        j                  ||||z
  dz  z   d      }|   }	|r|	| kD  }
n|	| k\  }
t        j                  |
 |z  |dz   |      }s |j'                  |      S )NrN  c                  ,    d j                          dS )Nz2boundaries tensor must be 1 dimension but got dim(r  r  )r!  s   r5  rM  zbucketize.<locals>.<lambda>s  s    DZ^^EUDVVWX r7  rS  r   r  r!  r  )r_  r`  r  r;  r?  r  r  r0  rR  r'  r&  r4  r   r"  r  rw  r  rY   r]  r   )r}  r!  r   r)  	out_dtypen_boundariesr  rq  midmid_valcond_midcond_updatenitersr  s    `            r5  r*  r*  h  s    
LLAX
 5<<(ell1oA(ekkI##B'Lq""
 KKDE
,
C 3;1$
$CoGQ;a<KK%q1Eaooauzz:TYY|,-v 	KA++h4c3?C#+K++k5C%KA3E+EqIC oG "Q;"a<KK(k 937EJE	K 88)8$$r7  c                     |J t        j                  t        j                   j                         xrB t        j
                   j                         xr  t        j                   j                          fd       t        j                  dkD  fd       |t        j                  t        j                  t        j                         dz
  z        z  z   S )Nc                  "    d j                    S )NzwCauchy distribution is a continuous probability distribution.         dtype must be a floating point but you specified r  r  s   r5  rM  zcauchy.<locals>.<lambda>       ::>**G r7  r  c                      d  S )Nz-cauchy_ expects sigma > 0.0, but found sigma=rK  )sigmas   r5  rM  zcauchy.<locals>.<lambda>  s    ?wG r7  r^  )r_  r`  rj  r  r  r  r  rp   r  r  	rand_like)r  medianr/  	generators   ` ` r5  r  r    s     	LL""4::.. 	3&&tzz22	3&&tzz22	G	 
LLG EEIIdgg1F1L&MNNNNr7  c                 4    |J t        j                  t        j                   j                         xrB t        j
                   j                         xr  t        j                   j                          fd       t        j                  dkD  fd       t        j                         }t        j                  |j                        j                  dz  }|d|z
  k\  }t        j                  || t        j                  |            }dz  |z  S )Nc                  "    d j                    S )Nz|Exponential distribution is a continuous probability distribution.         dtype must be a floating point but you specified r  r  s   r5  rM  zexponential.<locals>.<lambda>  r-  r7  r  c                      d  S )Nz4exponential_ expects lambda > 0.0, but found lambda=rK  )rates   r5  rM  zexponential.<locals>.<lambda>  s    FtfM r7  r!  r]  rS  )r_  r`  rj  r  r  r  r  r0  r  r  r   rW   )r  r6  r2  uniform_valepsilonr  log_uniforms   ``     r5  rA   rA     s     	LL""4::.. 	3&&tzz22	3&&tzz22	G	 
LLs
M
 //$'K kk+++,0014GsW},I++i'599[3IJK9{""r7  c                     |J t        j                  t        j                   j                         xr  t        j
                   j                          fd       t        j                  dk  xr dk  fd       t        j                  t        j                  t        j                                t        j                         z        dz   S )Nc                  "    d j                    S )Nzgeometric not implemented for r  r  s   r5  rM  zgeometric.<locals>.<lambda>  s    0= r7  r   rN  c                      d  S )Nz0geometric_ expects p to be in (0, 1), but got p=rK  )r  s   r5  rM  zgeometric.<locals>.<lambda>  s    B1#F r7  )
r_  r`  rj  r  r  r  rE   rX   r0  r  )r  r  r2  s   `` r5  rG   rG     s     	LL""4::.. 	3&&tzz22=
 
LL	A!a%F ;;u{{EOOD$9#9:TZZ^KLqPPr7  c                     |J t        j                  t        j                   j                         xrB t        j
                   j                         xr  t        j                   j                          fd       t        j                  dk  fd       t        j                  t        j                         z  |z         S )Nc                  "    d j                    S )Nzlog_normal not implemented for r  r  s   r5  rM  zlog_normal.<locals>.<lambda>  s    1$**> r7  r   c                      d  S )Nz-log_normal_ expects std > 0.0, but found std=rK  r   s   r5  rM  zlog_normal.<locals>.<lambda>   s    ?uE r7  )	r_  r`  rj  r  r  r  r  r?   
randn_liker  r   r   r2  s   ` ` r5  r[   r[     s     	LL""4::.. 	3&&tzz22	3&&tzz22>	 
LL	CE 99S5++D11D899r7  )r   r   )r2  r  r  r4  r  c          	         ||t         j                  k(  sJ t        t              st        j                  dk\  fd       |t        d | fD              }t        j                  t        |      dkD  d        t        j                  |d u xr |d u d        t        d |D         }|d   j                  }|d   j                  }njt        j                  t        | t               xr t        t               d        |t        j                         n|}|t        j                  d      n|}t        j                  |d	d
||d|      }	|	z  | z   S )Nr   c                      d  S )Nz)normal expects std >= 0.0, but found std rK  r@  s   r5  rM  znormal.<locals>.<lambda>  s     I#O r7  c              3   B   K   | ]  }t        |t              s|  y wrD  r  rg  s     r5  rI  znormal.<locals>.<genexpr>#  s     La*Q
2KLs   c                       y)NzFnormal expects that either mean or std is a tensor, or size is definedrK  rK  r7  r5  rM  znormal.<locals>.<lambda>&  r  r7  c                       y)Nz.Cannot pass layout, or pin_memory without sizerK  rK  r7  r5  rM  znormal.<locals>.<lambda>*  r  r7  c              3   4   K   | ]  }|j                     y wrD  r  rg  s     r5  rI  znormal.<locals>.<genexpr>-  s     "<q177"<r  c                       y)Nz>normal expects mean and std to be scalars when size is definedrK  rK  r7  r5  rM  znormal.<locals>.<lambda>3  r  r7  re  r  r]  F)r   r   r  r4  r  r2  )r_  stridedr;  r#   r`  rY  rQ  rc  r  r4  r  r  r_   )
r   r   r)  r2  r  r  r4  r  r  normal_sampless
    `        r5  r_   r_     sM   ( >Vu}}444c:&1HO	
 |LD#;LLL1\	
 	dN1zT1D	

 !"<G"<=
  ""4,,PZZ5P1PT	
 .3]'')(.e$F\\N $&&r7  )r2  c                6    t        ||| j                  | |      S )N)r  r2  )r_   rR  rB  s       r5  normal_rM  D  s    $TZZTYGGr7  c                 z    t        j                  t        j                  | j                         d        d}| |z  S )Nc                       y)Nz-rad2deg is not supported for complex tensors.rK  rK  r7  r5  rM  zrad2deg.<locals>.<lambda>M  r  r7  gcܥL@r_  r`  rj  r  r  )r  M_180_PIs     r5  rc   rc   I  s8    	LL""4::..? CH(?r7  c                 z    t        j                  t        j                  | j                         d        d}| |z  S )Nc                       y)Nz-deg2rad is not supported for complex tensors.rK  rK  r7  r5  rM  zdeg2rad.<locals>.<lambda>W  r  r7  g9RFߑ?rP  )r  M_PI_180s     r5  r:   r:   S  s8    	LL""4::..? EH(?r7  c                 *    | dk7  j                  |      S r  )r   )r  r  s     r5  r9   r9   ]  s     AI??3r7  c                 `    t        j                   j                         dk(  xr j                         dk(   fd       t        j                   j                  j                  k(   fd        fd}t        j                   j	                         j	                         k(  |       y )NrN  c                  N    dj                          d j                          dS )Nz1D tensors expected, but got zD and z	D tensorsr  r  r  s   r5  rM  z_dot_check.<locals>.<lambda>f  s#    /
|6%))+iX r7  c                  <    dj                    d j                    S )Nz:dot : expected both vectors to have same dtype, but found r  r  rX  s   r5  rM  z_dot_check.<locals>.<lambda>k  s     L::,eEKK=* r7  c            	          dj                          d j                          dj                          d j                          d	S )Nz+inconsistent tensor size, expected tensor [z] and src [z.] to have thesame number of elements, but got r  z elements respectively)r  rX  s   r5  numel_errorz_dot_check.<locals>.numel_erroro  sL    9$**,{SXS^S^S`Ra b004

~U5;;=/Qgi	
r7  )r_  r`  r  r  r  )r  r  r[  s   `` r5  
_dot_checkr\  c  sx    	LL
a,EIIK1,X
 
LL

ekk!	*
 
LL.<r7  c                 .     t                fd       }|S )Nc                 .    t        | |        | |      S rD  )r\  )r  r  r  s     r5  wrapperz#_dot_check_wrapper.<locals>.wrappery  s    4$r7  )r	   )r  r_  s   ` r5  _dot_check_wrapperr`  x  s     
2Y  Nr7  r  c                    | j                         r| j                         rt|j                         r@t        j                  | j	                         |j	                               j	                         S t        j
                  | j	                         |      S |j                         r$t        j
                  |j	                         |       S | |z  j                         S rD  )r+  is_conjr_  r   r   r   r   r  s     r5  r   r     s     <<>}}yyejjl;@@BBzz$))+u55]]_::ejjlD115Lr7  c                     | j                         st        j                  | |      S | j                         rf|j                         r2t        j                  |j                         | j                               S t        j                  | j                         |      S |j                         r2t        j                  | |j                               j                         S | j                         |z  j                         S rD  )r+  r_  r   rb  r   r   r6   r   r  s     r5  r   r     s     ??yyu%%||~==?::ejjlDIIK8899TYY[%00	yyuzz|,1133  5(--//r7  c                    t        j                  | j                  |      }dg| j                  z  }d||<   |dk  r|| j                  |   z   }t	        j
                  | j                  |   | j                        j                  |      |k(  }t	        j                  ||      j                  | j                        }t	        j                  |||       S )NrN  rS  r   r3  )rj  r  r  rR  r_  r  r4  r  r  r   r   )rH  r  r  r  
mask_shaperq  s         r5  select_scatterrf    s     
 
 
-CqvvJJsOqy$<<QXX6;;JG5PD
//#s
#
*
*177
3C;;tS!$$r7  c                 V    t        | t        j                  t        j                  f      S rD  )r;  r_  TypedStorageUntypedStorage)objs    r5  
_isStoragerk  +  s     cE..0D0DEFFr7  c                    d}t        |       }g }t        | t        t        f      rt	        |       }|r||j
                  z  }|j                  |       t	        |      |kD  r"t        dt        |       j                   d      |dk(  r	 |S 	 | d   }|} t        | t        t        f      r|S # t        $ r# t        dt        |       j                   d      w xY w)N   ztoo many dimensions 'r  r   z.could not determine the shape of object type ')rk  r;  r,  rY  rQ  itemsizer  r^  r2  r  r  )seqscalar_typeMAX_DIMS
is_storager.  r  handles          r5  _compute_sizesrt  0  s    HCJE
S4-
(S{+++FVu: 4T#Y5G5G4HJKKQ; L	VF
  S4-
(" L  	@cASAS@TTUV 	s   B, ,,Cc                 &   t        | t              rt        j                         S t        | t              r t        | t
              st        j                  S t        | t              rt        j
                  S t        | t              rt        j                         }|t        j                  u rt        j                  S |t        j                  u rt        j                  S |t        j                  u rt        j                  S t        d      t        | t        j                         r| j"                  S t        | t$              r"t'        dt)        |       j*                   d      t        | t,        t.        f      rzd }t1        |       }|dk(  rt        j                         S t3        |      D ]D  }| |   }	 t5        |      }|t        j6                  ||      }n|}|t        j                  u sB|c S  |S t        dt)        |       j*                         )Nz'invalid default scalar type for complexznew(): invalid data type 'r  r   zCould not infer dtype of )r;  r   r_  r  r   r  r0  r   r  r  cfloatdoublecdoublehalfchalfrm  r?  r  rn  	TypeErrorr2  r  r,  rY  rQ  r]  _infer_scalar_typepromote_types)rj  default_dtype
scalarTyper  r  cur_itemitem_scalarTypes          r5  r|  r|  J  s   #y!&&((#w
3(={{#x zz#w//1EKK'<<ell*== ejj(;;HII#u||$yy#s4T#Y5G5G4HJKK#e}%
S Q;**,,v 	"A1vH 1:O%"00_M
,
U]]* "!	"  
2493E3E2FG
HHr7  r  rj  c           	         t        |t              rD|j                         dk(  r1|j                         j	                  | dd      j                  d      S t        |t              r"|j                         j	                  | dd      S t        |t              rt        j                  ||       S |}|st        j                  d      S t        j                  |D cg c]  }t        | |       c}      S c c}w )NrN  re  T)r  r4  r  rK  r  r   )r;  r?  r  detachr   r  r   r_  r$  r  r   _recursive_build)r  rj  ro  r   s       r5  r  r  }  s     #v399;!#3zz|ZDINNrRR	C	  zz|ZDII	C	 ""3j99 C  	A [[M*:t<MN Ns   C4c                    t        |t        j                        rat        j                  | d        |}|r|j	                         }|r|j
                  n|}	||n|j                  }
|j                  |
|	d|      S t        |d      rt        S ||n| d   }
|rt        |      n|}	t        |      rt        S t        j                  |
      j                  dk(  rt        S t        |	|      }|j                  |
|	dd      }|S )Nc                       y)Nz,Can't pin tensor constructed from a variablerK  rK  r7  r5  rM  z)_internal_new_from_data.<locals>.<lambda>  r  r7  F)r4  r  r  r  __cuda_array_interface__r4  meta)r  r  )r;  r_  r?  r`  r  r  r4  r   hasattrNotImplementedr|  rk  r2  r  )optionsrp  
device_optdatacopy_variables
copy_numpytype_inferencer  r   inferred_scalar_typer4  r  s               r5  _internal_new_from_datar    s    $%NR	
 **,C,:syy)53::vv&	  
 	
 t/0 &1Zwx7HF7E-d3; $<<$$.!! ""6=6#7eRWX Mr7  )r  r4  r  r  c          
         t        | t        j                        rt        j                  dt
        d       |d u }t        ddi||nt        j                         || dd||      }|j                          |r|j                  |       |S )NzTo copy construct from a tensor, it is recommended to use sourceTensor.detach().clone() or sourceTensor.detach().clone().requires_grad_(True), rather than torch.tensor(sourceTensor)r!  )
stacklevelr4  re  T)r  r  r  r  )
r;  r_  r?  rf  rg  UserWarningr  r  detach_r~  )r  r  r4  r  r  r  
new_tensors          r5  r  r    s    $%l		
 d]N( 
5"(?(?(A%J !!-0r7  rD  )F)r  NN)gh㈵>g:0yE>Fr  )NN)NNNNNFF)FFN)NF)NNFr  )r   rS  )	NNNTreflectFNNN)NNNTFNNF)rK  )rN  r  )r   r   rN  )r   rX  rS  )r   NrN  )r  )r  r]  )r  NF)r   rN  Nr:  )rN  r!  N(  r*  r}  r  rF  r  r[  rf  collections.abcr   r   enumr   	functoolsr   r   r   r	   typingr
   r   r   r   r   r   r_  torch._prims_primsr  torch._prims_common_prims_commonrj  torch.utils._pytree_pytreer!  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   r#   r$   r%   r&   torch._prims_common.wrappersr'   r(   r)   r*   r+   r,   r  r?  r  DispatchKey_opsr  r  r6  r?  rc  rr  torch._decomprs  objectr  r  r  r  rO  r-   INT_TO_FLOATr.   r/   r1   r0   r2   r3   DEFAULTr4   r5   r+  r6   r7   r8   r;   r<   r=   r>   r?   r@   rB   	NO_OPMATHrC   rD   r%  rE   rF   r   ALWAYS_BOOLrN   rO   rP   rQ   rR   specialmultigammalnr]   rS   rT   rV   rW   rX   rY   rZ   rw  r  r\   r   r  r`   r  ra   rb   r   rd   re   r   rf   rg   rh   ri   rj   rk   rl   rn   BOOL_TO_LONGro   rp   rq   rs   r
  rB  rt   ru   rv   rw   rx   ry   rz   r}   r~   rn  r   r   r   r   ri  rh  r   r   r   r}  rY  r   r   r   r   r   r   r   r  r  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r{   r|   r   r   r  r  r   r   r  r  r  registerr4  r  r  r  r  r  r  r   r  r(  r   r   r   dim_IntListIntList_outr,  r   r   r   r   rJ  r   r   r   r   r   r   r   r  r   r   r   r   r   r   r2  py_implCompositeImplicitAutogradMetar   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r  r  r   r   _subclasses
fake_implsregister_op_implr  r   r,  r-  r.  r.  r}  r   r  r   r   r   r   r  r   rm   r   r	  r  r  rI   rJ   rL   rM   r  rH   rK   r   r0  r   r   r   r  r   r  r   r   r   r   r*  r   r   r   r   r   r   r  r  r;  r   r   r  r  r  r   r   rJ  r  r  r  r  r&  r   r!  r  r  r  r  
start_step	start_outrU   r  r  r   r   r  r  r  r  r'  r"  r#  r$  r  r   r   r(  r)  r^   rr   r  r   r   r   r  r  r  r  r  r  r  r  r*  r  rA   rG   r[   r_   rM  rc   r:   r9   r\  r`  r   r   rf  abs_acos_acosh_add_addcmul_addcdiv_asin_asinh_atan_atanh_atan2_bitwise_and_bitwise_left_shift_bitwise_not_bitwise_or_bitwise_right_shift_bitwise_xor_ceil_clamp_
clamp_min_
clamp_max_conj_physical_	copysign_cos_cosh_cumsum_cumprod_deg2rad_digamma_div_eq_erf_erfc_erfinv_exp_exp2_expm1_float_power_floor_floor_divide_fmod_frac_gcd_ge_gt_
heaviside_hypot_igamma_igammac_i0_lcm_le_lerp_lgamma_log10_log1p_log2_log_logical_and_logical_not_logical_or_logical_xor_lt_mul_	mvlgamma_nan_to_num_ne_neg_
nextafter_pow_rad2deg_reciprocal_
remainder_rsqrt_sgn_sigmoid_sign_sin_sinc_sinh_sqrt_square_sub_tan_tanh_tril_triu_true_divide_trunc_xlogy_cauchy_exponential_
geometric_log_normal_zero_r   r   r   r   r   r   r   r   r   r   r  r  rk  rt  r|  r  r  r  torch._refs._conversionstorch._refs.ffttorch._refs.linalgtorch._refs.nn.functionaltorch._refs.specialrK  r7  r5  <module>r     s2P          .  < < A A   # $ $ $     . l\	 
hh""zz~~2%P 9= C8 1   D 2 ##44	 ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q ##B#J#JK  L  ##++	 (/n / )/ **+& &  ,& ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q #7AA	 N 	 : 	 . 	 	 
	 ^ J >  		"# #> #  ## ##++	 ##++!N !~ !	!N ~  ##//* *> *	* ##B#N#NO1^ 1 1 P1 ##//1 1> 1	1 ##//1 1> 1	1 ##B#N#NO^   P
 u}}11:> ##//0n 0 0	0 ##00$'' ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q ##B#O#OP Q
  $(XX	X EKK X 	X X '#!7DD
 :?,
,',26,,	  (, ( !$#'#'		*	 Z  Z 	
   )4  ##++	 > N ~  ##B#O#OP Q 

##7?? 12 J^ J# Jn J	  $J ##B#O#OP Q ##B#O#OP/~ /. / Q/ ##++	 ##++	 ##//	 ##B#O#OP Q ##B#O#OP4 Q4
 ##B#O#OP Q ##B#O#OP Q ##00n  	 ##B#O#OP Q ##B#O#OP Q ##++	
!. !^ !L 	## %"&6 6t !#"7?? #'	8^Z'(8^Z'(8 J	8	  "8: $7DD$$

 $7??#> #n # ## $7??". "^ " "" $7??". "^ " "" $7??.> .n . .. $7??#> #n # ## $7DD$2^Z'(2-2>:3M-N2	2 !
 $(	^Z'(^Z'( C=	  "( $7CC$. ^  	 $7DD^Z'(^Z'( 4 ^Z'(^Z'(  l $==EE $"'
O^Z'(O-2>:3M-NO
O8FV F F6 F16 1f 1 12 $7??$$
N ~ . 
 $7??$$
N ~ . 
 $7??$#
N ~ . 
 

#Z$7 75)G#H 7 % $7 $7??$$
> n  
 $7CC$. ^  	 $7CC$. ^  	 $7??$$
^ ^  
 $7??$$
^  > 
 $7DD$$
n  N 
 $7DD$$
~ . ^ 

  	
  
2 ((( ( 	(
 ( (V $7??$$
Q> Qn Q
Q  $7CC$. ^  	 $7??$$
T TN T~ T
T0 $7??$$
,. ,^ , ,
, $7CC> n  ##B#N#NO>  P $7CC. ^  $7CC> n  $7CC$. ^  	 $7??~ . ^  $7??~ . ^  $7?? $> n  	 $7CC$. ^  	 $7AA$$
! !N !~ !
! $7??! !N !~ !!
 		" 	(^Z'(	(^Z'(	( 	(  #	( !#"7?? 	$8^Z'($8^Z'($8 	$8	  "$8N $7DD	 $	> n   

##"7DD:U>:-. :59S3T :	  $:& $==EE $
"^Z'("-2>:3M-N"
" %#67DD ,
,, ,
 , ,	  &,* %#67?? ,
,, ,
 , ,	  &,* 

##+7?? -1,0	(	) 
(	) 		  $4 ' -1&
&	(	)& &  (& ' -1&
&	(	)& &  (& 

##"7AA +/*.#
#&'# &'#	  $#. 

#?D?T?T).)<)<  $ 9= v &  		"&N &z & #& (,#'%)37!&^$ EKK  4.	
 U\\" E//0   
2    37LL;;  	
 E//0 
#s(^ "  37;;  	
 E//0 
#s(^ "  37	;;  E//0	
 
#s(^   37	  E//0	
 
#s(^ ."& "T "0. n V "##' <<
< 	<
 < 8
< < EKK < 
&	< 2< <~4 ! #

	(	
 
 	
  "
 ! #	(	  	  "$ --txx/C/CDE 6:
 $( 	x}htCy11	2 
 EKK  
&	  F:CC C, 		" 6:
  	x}htCy11	2  
&	  #: 		" #
 !	(	 
 
&	  #. 		" #
 !	(	 
 
&	  #. ! ##	 (,	(	 tn 	 $   "6 ! 6:#	1 (,11	x}htCy11	21 tn1 	1 $1 1  "1* 		" #*
 **	(	* * * #*Z &VV #  $'+	(	 tn	
  $  '0 &VV ##	 (,	(	 tn 	 $  ' 		"#07?? 7A
7A
7A 7A
 7A 7A 7A	  #7Av
+	~x77	8
+AO
+
>5!4556
+   # *8  +	~x77	8+AO+
>5!4556++	~x77	8+AO+
>5!4556+$ %)		A	A
	A 	A SM		A
 	A //0 %)RR	R R 	R
 SMR R  1R2 2 ''(M(MN''(8(89O4#7 O : OO1N 1) 1 1 !#$7AAsG# sG# sGn sG	  "sGn #, # # # >  ,,-?@PP $S	P2<PP  .Ph 8=7N7N77!&!4!477 #& #> # # $!f ! ! %!J F v ^ S s 5QTAT;U ,1~ 1# 1C 1 1$ 		"N "2 ~   #n  n  (-c>.A(BLOD").
666!"<> tCy ^  ..66711V1 6
1 	1
 1 1 1 
1 666!"1 81h ../VVV$AAA VA 6
	A
 
A 666!"A % 0AH ..t/E/E/M/MN$ O$ %,~ , , &, $#.#.,#.36#.AO#.#.  %#.N +??@ !% $##%)&*n?n?n? n? 	n?
 Vn? n? n? n? tnn? TNn? d^n? n? An?d KAAB !% $## PPP P 	P
 VP P P tnP SMP P CPh",9<DGOR8 $51f 51 51  %51p{N { { {D<~ <y <^ <
&^ &N &~ & 		",>N ,>H ,>H ,>n ,>  #,>^ 

#<B>>>)9>>  $><
!3 
 
 

#G% GC G G  $G   $(	 EKK  	 & #& #> # # #& #> # #S Sc S) S S $
n 
3 
/A 
 %
  * 3 z :  
: 
C 

 
J 
 (<<<$.<7<Z=S7T<  )< (();;;$.;7<Z=S7T; *;..	. . Z'(	. .b  	  	  " ))*J S    +" ))*~ HX$6 .  +8 --.56
#Cy/2	&\ /D DFDFvx/0DF 
DF >3	DFP&-&-,4&-
>3&-T$+$+,4$+
>3$+N 		& 1
11 1  '1 --. 	  	
    /$ & 	&
&& & 	&
 & '&R ( 	535353 53 	53
 53  )53p (!$$~"6 !$> !$  )!$H)n- ). )
(n 
( 
(5G 
( '9 9 (9$	 	N 	 

#^   $ '	* 	*s 	*# 	*. 	* (	* 	 $+
+%(+03+;>++ %+ (()n  C s   * $( 9 9 
	9 EKK 9 
&	9 90 $
 $( TT	T EKK 	T
 
&	T T %T %
 $( UU	U EKK 	U
 
&	U U &U '3 3c 3n 3 (3 		))*=N =I =. = +=
#. # #N #
^   AE!D||!D#ll!D19#!D
\\!D !DH  $( =='+).)@)@#EKK # LL# ^$	#
 # # &&# # #L  $( =='+ EKK  LL	
 ^$    $ '
 $(%)'+
 EKK 	
 U\\" ^$    (, ../ $(%)'+
 
 EKK  U\\" ^$    08 

**+ $( =='+EKK  LL ^$	
     ,0 '
 $(%)'+
 EKK 	
 U\\" ^$     (2 		))* $( =='+EKK  LL ^$	
     +0 &
 $(%)'+
 EKK 	
 U\\" ^$     '2 & $(%)'+
 
 EKK  U\\" ^$    '0 ( $('+%)).)>)>&& EKK & ^$	&
 U\\"& & & &&& &  )&R //1F1FGH $`
 $( =='+``	*	` `
 EKK ` LL` ^$` ` ` `  I`F 		"#27??8 8V 8U6:3E-F 8	  #82 & $('+ ==U/^+,U/	z>)	*U/ U/
 EKK U/ ^$U/ LLU/ U/ U/ U/  'U/p &
 	8@ $('+ ==8@^+,8@	z>)	*8@ 8@ 	8@ EKK 8@ ^$8@ LL8@ 8@ 8@ 8@  '8@v 
	h~. 	# 	 
	 
	~ 	 	 
	 &>ND$8%:OOP>> 
.> '>D;;#''(; s,,-; 	;~ **+
 $('+ ==E),,- EKK 	
 ^$ LL     ,6 ! ") $( =='+")
")}") EKK 	")
 LL") ^$") ") ") ")  "")P **DIIMM:;
 $( =='+%%% EKK 	%
 LL% ^$% % % %  <%> $(%)'+).)>)> EKK 	
 U\\" ^$   && . ( $(%)'+).)>)> EKK  U\\"	
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!X
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		1'
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