
    Ǆg9                    Pf   d dl Z d dlZd dlZd dlZd dlZd dlZd dlZd dlmZ d dl	m
Z
 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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/m0Z0m1Z1m2Z2m3Z3m4Z4m5Z5m6Z6m7Z7m8Z8m9Z9m:Z: d dl;m<Z<m=Z=m>Z>m?Z?m@Z@mAZA g d	ZBej                  ZCej                  j                  ZEej                  j                  j                  ZHd
 ZId ZJd ZKdddZLd dlMmNZN  eO       ZPePdddefdZQd ZRd ZS eQe,j                        d        ZU eQe,j                        d        ZW eQe,j                        d        ZX eQe,j                        d        ZY eQe,j                        d        ZZ eQe,j                        d        Z[ eQe,j                        d        Z\ eQe,j                        d        Z^ eQe,j                        d        Z_ eNeHj                        de8fd        Z` eNeHj                         eA       de8fd!              Za eQe,j                        d"        Zb eQe,j                        d#        Zc eQe,j                        d$        Zd eQe,j                        d%        Ze eQe,j                        d&        Zf eQe,j                        d'        Zg eQe,j                        d(        Zh eQe,j                        d)        Zi eQe,j                        d*        Zj eA        e?d+e,j                  ,      d-e8d.e2de8fd/              Zld-e8d.e2de8fd0Zm eNeHj                         eA       de8de8fd1              Zn eQe,j                        d2        Zo eQe,j                        d3e8de8fd4       Zpd-e8de8fd5Zq eQe,j                  d6      d-e8de8fd7       Zs eQe,j                        d-e8de8fd8       Zt eQe,j                        d-e8de8fd9       Zu eQe,j                        d-e8de8fd:       Zv eQe,j                        d-e8de8fd;       Zw eRej                  j                  d<      Zz eQe,j                  d6      d-e8de8fd=       Z{ eQe,j                  eHj                  6      d>        Z| eQe,j                        d?        Z} eQe,j                        d@        Z~ eQe,j                        dA        Z eQe,j                        dB        Z eQe,j                        dC        Z eA       	 dd-e8dDedEeej                     de8fdF       Z eNeHj
                         eA        e?dGe,j                  ,      	 ddIe8dDe*dJede8fdK                     Z eNeHj                         eA       	 	 	 dd-e8dLee2   dMee2   dNee2   de8f
dO              Zd-e8fdPZ eQe,j                  eQ      dR        Zd-e8de8fdSZd-e8de8fdTZ eQe,j                        dU        Z eNeHj                         eA        e?dVe,j                  ,      d dWd-e8dXede8fdY                     Z eQe,j                        dZ        Z eQe,j                        d-e8de8fd[       Z eQe,j                        d\        Z eQe,j                        d]        Z eQe,j                        d^        Z eQe,j                        d_        Z eQe,j                        d`        Z eQe,j                        da        Z eQe,j                        db        Z eQe,j.                  d6      d-e8de8fdc       Z eQe,j                        dd        Z eQe,j                        de        Z eQe,j                        df        ZdIe8de8fdgZePdddddHdfdefdhZ eNeHj<                         eA        e?die,j                  ,      ddjd-ee8e2f   dkee8e2f   dlee2   fdm                     Z ee,j                  dHdHn      do        Z ee,j                  p      d-e8dke8de8fdq       Z ee,j                  p      d-e8dke8de8fdr       Z ee,j                  p      d-e8dke8de8fds       Z ee,j                  p      d-e8dke8de8fdt       Z ee,j                  p      d-e8dke8de8fdu       Z ee,j                  dHv      d-ee8e2f   dkee8e2f   fdw       Z eNeHjL                         eA       ddxd-ee8e2f   dkee8e2f   dyee   fdz              Z ee,j                  dHv      d-e8dke8de8fd{       Z ee,j.                  p      d-ee8e2f   dkee8e2f   de8fd|       Z eA       d-ee8e2f   dkee8e2f   deCfd}       Z ee jX                  j                  ddH~      d-ee8e2f   dkee8e2f   fd       Zd-eCdkeCdeCfdZd-eCdkeCdeCfdZ ee,j                  dHdHn      d-e8dke8de8fd       Z ee,j                  dHdHn      d-e8dke8de8fd       Z ee,j                  dHdn      d-e8dke8de8fd       Z eNeHjb                         eAdd      dIe8dee8e8f   fd              Z ee,j                  dHdHn      d-e8dke8de8fd       Z ee,j                  dHv      d-e8dke8de8fd       Z ee,j                  dHv      d-e8dke8de8fd       Z ee,j                  dHdHn      de8de8de8fd       Z ee,j                  dHdHn      d-e8dke8de8fd       Z ee,j                  dHdHn      d-e8dke8de8fd       Z ee,j                  dHdHn      d-e8dke8de8fd       Zded-e8dke8dededdfdZ	 	 	 dd-e8dke8dededede8fdZ ee,j                  dHdHn      d-e8dke8fd       Z ee,j                  dHv      d-e8dke8de8fd       Z ee,j                  dHdHn      d-e8dke8de8fd       Z ee,j                  dHdHn      d-e8dke8de8fd       Z ee,j                  p      d-e8dke8fd       Z eQe,j                        d-e8fd       Z ee,j                  p      d-e8dke8fd       Z ee,j                  p      d-e8dke8fd       Z ee,j                  dHv      d-e8dke8de8fd       Z ee,j                  p      d-e8dke8de8fd       Z ee,j                  p      d-e8dke8de8fd       Z ee,j                  d      d-e8dke8de8fd       Z ee,j                  dHv      d-e8dke8de8fd       Z ee,j                  dHdHn      d-e8dke8de8fd       Z ee,j                  p      d-e8dke8de8fd       Z eNeHj                         eA       	 dd-ee8e2f   dkee8e2f   dle2fd              Z eNeHj                         eA        e?die,j                  ,      ddjd-ee8e2f   dkee8e2f   dle2fd                     Z ee,j                  ddd      d-e8dke8de8fd       Z eNeHj                         eA        e?die,j                  ,      d-ee8e2f   dkee8e2f   fd                     Z ee jX                  j                  dd      d-ee8e2f   dkee8e2f   fd       Z eNeHj                         eA        e?de,j                  ,      dddIe8de8de8d.e2de8f
d                     Z eNeHj                         eA        e?de,j                  ,      dddIe8de8de8d.e2de8f
d                     Z eNeHj                         eA        e?de,j                  ,      	 	 dd-e8dee9   dee9   de8fd                     Z eNeHj                         eA       	 ddIe8dee9   de8fd              Z eNeHj                         eA       	 ddIe8dee9   de8fd              Z eNeHj                         eA        e?die,j                  ,      	 	 ddeCd-ee9   dkee9   fd                     Z eNeHj                         eA       ej                  dd-e8dej                  de8fd              Zddd-eCdkeCfdZ eNeHj                        d-e8de2fd       Z	 	 	 	 	 	 	 dd-e8dee'   dEeej                     dee   deej                     deej                     dee   dedefdȄZedɄ        Zeݐj                  	 	 	 ddej                  dEej                  dededeej                     deeef   fdʄ       Zeݐj                  	 	 	 ddedEej                  dededeej                     deeef   fd˄       Zeݐj                  	 	 	 ddEej                  dededeej                     deeef   f
d̄       Zeݐj                  	 	 	 ddeCdededeej                     deeef   f
d΄       Zd-eCdefdЄZd-e8de8fdфZddddHdddҜd-e8dedededee*   dedEeej                     deeC   de4de8fdڄZdۄ Z eNeHj                         eA       	 	 dd-e8dDee*   dJede8fd܄              Z eNeHj                         eA       	 	 dd-e8dDee*   dJede8fd݄              Z eNeHj                  j                  eHj                  j                  g      	 	 ddddޜd-e8dDeee   eee      f   dJedEeej                     deeC   de8fd߄       Zd-eCdeCfdZ eNeHj                        	 	 ddddޜd-e8dDeee   eee      f   dJedeeC   de8f
d       Z eNeHj                        	 	 dddd-e8dDee*   dJedeeC   de8f
d       Z eNeHj                        	 	 dddd-e8dDee*   dJedeeC   de8f
d       ZddZ eNeHj                         eA       	 	 	 dddd-e8dDee*   dee   dJedee2   de8fd              Z eNeHj                         eA       	 	 	 dddd-e8dDeee   eee      f   dee   dJedee2   de8fd              Z eNeHj                        	 	 ddddޜd-e8dDee*   dJede8fd       Z eNeHj                         eAdd      	 dddHddd-e8dDee*   dee   dJedee2   f
d              Z eNeHj                         eAdd      	 	 	 dddd-e8dDee*   dee   dJedee2   f
d              Z eNeHj                         eA        e?de,j                  ,      ddddIe8de8de8de2dle2de8fd                     Zdee8ee8   f   de8dee8ee8df   f   fdZdedDede8de8fdZdee8ee8   f   de8dee8ee8df   f   fdZdee8ee8   f   de8dee8ee8df   f   fdZ	 dd-e8de5d e6dee   de8f
dZ eNeHj                         eA       	 dde8de8de5d e6dee   de8fd              Zde5fdZeHj                   j                  j                  eEj                        eHj                   j                  j                  eEj                        dee8   fd              Z d-e8de5de8fdZ eNeHj                         eA        e?de,j                  ,      dd	e:dDede8fd
                     Z eA       d	e:de8fd       Zde8de8fdZ eNeHj                         eA       	 dde8dee   d.e2de8fd              Z	ej                  dd-eCdej                  deCfdZ eA       d	e:de8fd       Z eNeHj                        d-eCdeCfd       Zd-eCdkeCdeCfdZdd-e8dedDedee8df   fdZdd-e8dedede8fdZ eNeHj"                         eA       d-e8de)de8fd              Zd-e8de8fdZd-e8de8fdZd-e8dDedeee8f   dede8f
dZd-eCde*dedeeCeCeCf   fd Zd3e8d!ee   de8fd"Z eNeHj.                  j                        deCd#eeC   d$eeC   d%ed&ed'ed(ededeeCeCeCf   fd)       Z eNeHj0                         eAddd*      deCd+e5d#eeC   d$eeC   dedeeCeCeCf   fd,              Z eNeHj2                        d-e8de8fd-       Z eNeHj4                         eA       de8d.e3dDed/e3de8f
d0              ZeHj6                  j8                  j                  eEj                        	 	 	 	 	 	 	 	 ddeCd1ed2ee   d3ee   d4eeC   d5ed6ed7ed8ee   d9ee   deCfd:       ZeHj:                  j                  j                  eEj                        	 	 	 	 	 	 	 	 ddeCd1ed2ee   d3ee   d4eeC   d5ed7ed8ee   dee   deCfd;       Zd<e5d=e6d>eded?ef
d@Z eNeHj>                         eA       d-eCdeCfdA              Zd-e8dBede8fdCZ d-e8dDe5de8fdEZ!dIe8de8de8fdFZ" eNeHjF                         eA       dd-e8dGe*de*de8fdH              Z# eNeHjH                         eA       	 dd-e8dJede)de8fdK              Z$d	e:ddfdLZ% eNeHjL                         eA       dd	e:dDede8fdM              Z& eA       	 dd-e8dDedEeej                     de8fdN       Z' eA       d	e:de8fdO       Z( eA       d	e:de8fdP       Z)d-e8dDedQe5de8fdRZ* eNeHjV                        ddSe8dDede:fdT       Z+ eA       d3e7dDedUe7dVe7fdW       Z,d3e7dDedUe7dVe7fdXZ- eNeHj\                         eA       d3e7dDedUe7d.ee2e7f   fdY              Z. eNeHj^                        d3e7dDedUe7d.ee2e7f   fdZ       Z/d3e7dDedUe7d.ee2e7f   d[ef
d\Z0 eA       ddjd3e7dDedUe7dVe7dle2f
d]       Z1 eNeHjd                         eA       d3e7dDedUe7fd^              Z2 eNeHjf                  jh                        dd-e8dDee*   de8fd_       Z3	 dd-e8d`eeCe*f   dDedee8df   fdaZ5d-e8d`e*dee8df   fdbZ6d-e8d`e*dee8df   fdcZ7 eNeHjp                  jr                         eA       	 ddIe8ddede8fde              Z8 eNeHjt                         eA       	 	 	 dde8de8ddedfedgede8fdh              Z: eNeHjv                        	 	 	 ddIe8ddedfedgede8f
di       Z; eNeHjx                         eA       	 	 	 ddSe8ddedfedgede8f
dj              Z< eNeHjz                         eA       d	ee8   de8fdk              Z>d	ee8   de8fdlZ=d-e8dme*de:fdnZ? eNeHj                  j                        d-e8fdo       Z@d-e8de8fdpZA eNeHj                        d-e8de8fdq       ZB eNeHj                        d-e8dredfede8fds       ZCeCZD eNeHj                        dIe8d>eded?ede8f
dt       ZE eNeHj                         eA       dIe8d>eded?efdu              ZFdddޜd-e8dDedEeej                     deeC   de8f
dvZG eNeHj                        dddޜd-e8dDedEeej                     deeC   de8f
dw       ZH eNeHj                        dddޜd-e8dDedEeej                     deeC   de8f
dx       ZI eNeHj                        d-e8dDede8fdy       ZJ eNeHj                  j                        d-e8dDe5de8fdz       ZKdIe8de8de8fd{ZLd-e8de8fd|ZM eA       	 dd-ej                  d}ej                  dDee   dej                  fd~       ZN eA       dej                  ddHdHej                  ddEeej                     dej                  dee'   dededej                  de8fd       ZP eA       dej                  ddHdHfdEeej                     dej                  dee'   dedede8fd       ZQ eNeHj                         eA       ddddHdd-e8de5dEeej                     deej                     dee'   dede8fd              ZR eNeHj                         eA       ddddHdd-e8de5d e6dEeej                     deej                     dee'   dede8fd              ZS eNeHj                  j                         eA       dej                  ddHdHddEeej                     dej                  dee'   dedede8fd              ZT eNeHj                         eA       ddddHdHdd-e8de5dEeej                     deej                     dee'   dedede8fd              ZU eNeHj                  j                         eA       dej                  ddHdHddEeej                     dej                  dee'   dedede8fd              ZV eNeHj                         eA       ddddHdHdd-e8de5dEeej                     deej                     dee'   dedede8fd              ZW eNeHj                         eA       ddddHdd-e8de5de2dEeej                     deej                     dee'   dede8fd              ZX eNeHj                         eA       ddddHdHej                  dd-e8dEeej                     dee'   deej                     dededej                  de8fd              ZY eNeHj                  j                  eHj                  j                  g       eA       	 	 	 ddej                  ddHdHdde2dee2   d?e2dEeej                     dej                  dee'   dedede8fd              ZZ eNeHj                         eA        e?de,j                  ,      deCdeCd#eeCe2f   fd                     Z] eNeHj                         eA       ddej                  dHdHddee2e8f   dee2e8f   de2dEeej                     dee'   dej                  dedede8fd              Z^ eNeHj                         eA       	 dddej                  dHdHddee2e8f   dee2e8f   de2de2dEeej                     dee'   dej                  dedede8fd              Z_ed	ee8   defd       Z`ed	e8defd       Z` eNeHj                        d	ee8ee8   ee8   f   dedee8   fd       Z`de8deee)f   deee)f   de8fdZa eNeHj                         eA       ddej                  dHdHddDee5ee5   f   de6dEeej                     dee'   dej                  dedede8fd              Zb eNeHj                         eA       	 ddej                  ddHdHddedee   dEeej                     dej                  dee'   dedede8fd              Zc eNeHj                  j                  eHj                  jr                  g       eA       dej                  ddHdHddDe5de2dEeej                     dej                  dee'   dedede8fd              ZdddddHdHej                  dd-e8de2dEeej                     deej                     dee'   dededej                  de8fdZe eNeHj                         eA       ddddHdHej                  dd-e8dEeej                     deej                     dee'   dededej                  de8fd              Zf eNeHj                         eA       ddddHdHej                  dd-e8dEeej                     deej                     dee'   dededej                  de8fd              Zg eNeHj                  j                         eA       ddddHdHddEeej                     dee'   deej                     dedede8fd              Zhdej                  ddHdd-e2dEeej                     dej                  dee'   dede8fdZi	 	 ddDe5deeeef   deeeef   dEej                  de'de8fdZj eNeHj                         eA       d-e8de8d.e9fd              Zk eNeHj                        d-e8de8d.e9de8fd       Zl	 	 	 dd-e8dke8dedededefdZmd-e8dke8defdZn eNeHj                         eAd      	 	 	 dddde8d.eeeef      dDee*   dJedEeej                     de8fd              Zo eNeHj                         eA       dIe8de8fd              Zpd Zq eqeͫ      Zr eqe      Zs eqe      Zt eNeHj                         eA       dd-e8dede8fd              Zu eNeHj                         eA       dd-e8dede8fd              Zvdededdedeeeef   fdZwdedededEej                  dej                  defdZx eNeHj                         eA       	 dej                  ej                  ddHddededdedEej                  dej                  de'dede8fd              Zydededdedeeeef   fdZ{ eNeHj                         eA       	 dej                  ej                  ddHddededdedEej                  dej                  de'dede8fdÄ              Z| eNeHj                         eAd      dHdHdĜd-e9de8dedefdȄ              Z} eNeHj                         eA        e?dGe,j                  ,      ddɄ                     Z~ eNeHj                         eA        e?dGe,j                  ,      ddʄ                     Z eNeHj                          eA        e?dGe,j                  ,      dd˄                     Z eNeHj                         eA        e?dGe,j                  ,      dd̄                     Z eNeHj                         eA        e?de,j                  ,      	 	 	 dddddddΜdτ                     Z eNeHj                        dIddМdф       Z eQe,j                        dIe8fd҄       Z eQe,j                        dIe8fdӄ       Z eNeHj                         eA       ddDee*   fdԄ              ZdՄ Z eNeHj                         eA        e?de,j                  ,      dׄ                      Z eNeHj                         eA        e?de,j                  ,      d؄                      Z eNeHj                         eA       d3e8de8dDedUefdل              Z eSeU      Z eSeW      Z eSeX      Z eSe      Z eSeѫ      Z eSeЫ      Z eSeY      Z eSeZ      Z eSe[      Z eSe\      Z eSe      Z eSe      Z eSe      Z eSe^      Z eSe      Z eSe      Z eSe      Z eSe_      Z eSeҫ      Z eSeӫ      Z eSeԫ      Z eSea      Z eSe      Z eSeb      Z eSec      Z eSeH      Z eSeI      Z eSe      Z eSed      Z eSe      Z eSe      Z eSee      Z eSeg      Z eSef      Z eSeh      Z eSej      Z eSei      Z eSe      Z eSeo      Z eSe      Z eSe      Z eSep      Z eSe      Z eSe      Z eSe      Z eSe      Z eSe      Z eSe      Z eSe      Z eSe|      Z eSe      Z eSe      Z eSe]      Z eSe}      Z eSe      Z eSe      Z eSe      Z eSe~      Z eSe      Z eSe      Z eSe«      Z eSeë      Z eSeī      Z eSeǫ      Z eSez      Z eSe      Z eSeȫ      Z eSe      Z eSeɫ      Z eSe      Z eSe      Z eSe      Z eSeʫ      Z eSe      Z eSe      Z eSe      Z eSe      Z eSe      Z eSe      Z eSe      Z eSe      Z eSe      Z eSe̫      Z eSe      Z eSe      Z eSev      Z eSeu      Z eSeͫ      Z eSe      Z eSeΫ      Z eSe~      Z eSe      Z eSe      Z eSe      Z eSen      Z eeHj                        Z eeHj                        Z eeHjv                        Z eeHj                        Z eeHj(                        Z eeHj                        Z eeHj                        Z eeHj                        Zdڄ Zdۄ Zd܄ Zdej                  dee9e:f   fd߄Z	 ddZdddHdHddZd dlZd dlZd dlZd dlZd dlZy(      N)Iterable)Enum)partialreducesingledispatchwraps)	AnyCallableDictListOptionaloverloadSequenceTuple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ravelrepeatreshape
reshape_asrollrot90rsqrtstack	swap_axessqueezett_copyTtake_along_dimtensor_split	transpose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    \/home/mcse/projects/flask_80/flask-venv/lib/python3.12/site-packages/torch/_refs/__init__.pyis_noncontiguous_supportedr3  i  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_tensorr6  
isinstancefake_devicer3  r   )input_tlistoutputr1  r6  r   s        r2  handle_noncontiguous_outputsr<  m  sL    F8 a$]]F
 &f-""$Mr4  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 ]c  } |||   dk(        r||   dk  rt        d      ||   ||<   - |||   dk7        s<||   ||   k7  sHt        d	||    d
| d| d| d| 
        |S )Nr   guard_size_obliviousc              3   F   K   | ]  }t        |t              r|fn|  y wNr8  r   .0xs     r2  	<genexpr>z$_broadcast_shapes.<locals>.<genexpr>  s(       1g&A-s   !c                 
    | d uS rA   rE  s    r2  <lambda>z#_broadcast_shapes.<locals>.<lambda>  s
    !4- r4     c              3   2   K   | ]  }t        |        y wrA  len)rD  shapes     r2  rF  z$_broadcast_shapes.<locals>.<genexpr>  s     4ESZ4s   z9Attempting to broadcast a dimension with negative length!z.Attempting to broadcast a dimension of length z at z ! Mismatching argument at index z had z0; but expected shape should be broadcastable to )%torch.fx.experimental.symbolic_shapesr?  tuplefilterrN  r8  r   r   max	enumeraterange
ValueErrorRuntimeError)_shapesr?  shapesrO  common_shapearg_idxidxs          r2  _broadcast_shapesr^  |  sZ   J /9 F 6{a  +%***+
 	
s4V456L $F+ R#e*_b1 	C#L$5$:;:>$S  %*#JS!%eCjAo6$c
2&HsTXY\X] ^99@	ug N66B^E 	  r4  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  $ y wrA  )r8  r%   rO  rD  r   s     r2  rF  z#_maybe_broadcast.<locals>.<genexpr>  s"     	GQZ:.!''D
8	Gs   (*c                 ,   | y t        | t              r| S t        | t              rLrt        j                  |       r| S t        j
                  | j                        s| j                        S | S t        dt        t        |             z   dz         )Nz#Unexpected type when broadcasting: !)r8  r   r%   utilsis_cpu_scalar_tensor
same_shaperO  r   rX  strr/  )rE  rO  r[  r_  s     r2  __maybe_broadcastz+_maybe_broadcast.<locals>.__maybe_broadcast  s    96"H:&*u/I/I!/L##AGG\:xx--H5DGDsJ r4  c              3   0   K   | ]  } |        y wrA  rH  )rD  rE  ri  r[  s     r2  rF  z#_maybe_broadcast.<locals>.<genexpr>  s     B"1l3Bs   )r^  rR  )r_  argsri  r[  s   ` @@r2  _maybe_broadcastrl    s-    $	G$	GL$ BTBBBr4  )register_decomposition)aten_op
extra_meta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atype_promoting_argstype_promotion_kindru  rp  c                 B     |         |       }t        | g|      S rA  )r<  )ru  r;  ro  rr  s     r2  _refz>_make_elementwise_unary_reference.<locals>.inner.<locals>._ref  s*     %1!WF/V<<r4  )
r   r.   r-   r,   r&   infer_aten_opre  get_aten_op__name__rm  )rr  rz  rn  ro  rx  s   ` r2  innerz0_make_elementwise_unary_reference.<locals>.inner  s     
t		)	+ & 3

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

 
* 
 
	= m#''dmm<G+"7+D1r4  r
   )rx  rn  ro  r~  s   ``` r2  !_make_elementwise_unary_referencer    s    H 0 Lr4  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 rA  rH  )rk  kwargsfns     r2  _fnz_make_alias.<locals>._fn  s    4"6""r4  r}  )r}  inspectcurrentframef_back	f_globals
__module__)r  namer  s   `  r2  _make_aliasr    s7    # CL))+22<<ZHCNJr4  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outrH  )ru  rk  r  r  s      r2  r  z_make_inplace.<locals>._fn  s    !,d,,V,,r4  _r   )	getmodule)	r   r}  rm  getattratenr  r  __all__append)r  r  inplace_namer  _alls   `    r2  _make_inplacer    sz     2Y- - kk]!$LCL
=
 |!<
=c
BC "R=  D4L!Jr4  c                 ,    t        j                  |       S rA  )primsr/   rt  s    r2  r/   r/         99Q<r4  c                 ,    t        j                  |       S rA  )r  r0   rt  s    r2  r0   r0         ::a=r4  c                 ,    t        j                  |       S rA  )r  r1   rt  s    r2  r1   r1         ;;q>r4  c                 ,    t        j                  |       S rA  )r  r3   rt  s    r2  r3   r3   $  r  r4  c                 ,    t        j                  |       S rA  )r  r2   rt  s    r2  r2   r2   )  r  r4  c                 ,    t        j                  |       S rA  )r  r4   rt  s    r2  r4   r4   .  r  r4  c                 ,    t        j                  |       S rA  )r  r5   rt  s    r2  r5   r5   3  r  r4  c                 ,    t        j                  |       S rA  )r  r6   rt  s    r2  r6   r6   8  s    Qr4  c                 ,    t        j                  |       S rA  )r  r7   rt  s    r2  r7   r7   =  r  r4  inputc                 @    t        j                  | j                        S rA  )re  is_complex_dtypedtyper  s    r2  r(  r(  B  s    !!%++..r4  c                 n    t        j                  | j                        s| S t        j                  |       S rA  )re  r  r  r  r8   r  s    r2  r8   r8   G  s,     !!%++.u%%r4  c                 ,    t        j                  |       S rA  )r  r9   rt  s    r2  r9   r9   O  r  r4  c                 ,    t        j                  |       S rA  )r  r:   rt  s    r2  r:   r:   T  r  r4  c                 ,    t        j                  |       S rA  )r  r=   rt  s    r2  r=   r=   Y      ==r4  c                 ,    t        j                  |       S rA  )r  r>   rt  s    r2  r>   r>   ^  r  r4  c                 ,    t        j                  |       S rA  )r  erf_invrt  s    r2  r?   r?   c  r  r4  c                 ,    t        j                  |       S rA  )r  r@   rt  s    r2  r@   r@   h  r  r4  c                 ,    t        j                  |       S rA  )r  rA   rt  s    r2  rA   rA   m  r  r4  c                 ,    t        j                  |       S rA  )r  rB   rt  s    r2  rB   rB   r  r  r4  c                 ,    t        j                  |       S rA  )r  rD   rt  s    r2  rD   rD   w  r  r4  za,rv  ru  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 rd  )r8  r%   r   re  r   r  r   r/  rW  r  rE   )ru  r  python_typemsgs       r2  rE   rE   ~  s     a$$$eV$$$%%agg.K&&tE{K@'U}4ST_S``abo::ar4  c                 ^    t        j                  | |      }t        j                  | |       | S rA  )r  rE   r   )ru  r  rs      r2  rF   rF     s%    

1eA	MM!QHr4  c                 ,    t        j                  |       S rA  )torchr$  r  s    r2  r"  r"    s     E""r4  c                 ,    t        j                  |       S rA  )r  rG   rt  s    r2  rG   rG     r  r4  rE  c                     t        j                  t        j                  t        j                  |             t        j                  |             }t        j
                  | |      S rA  )r  r   rG   r/   rj   r   )rE  trunc_xs     r2  rH   rH     s<    iiEIIaL15::a=AG99Q  r4  c                     t        | t              sJ t        j                  t	        j
                  | j                        d        t        j                  |       S )Nc                       y)Nz#imag only supports complex tensors.rH  rH  r4  r2  rJ  zimag.<locals>.<lambda>      r4  )	r8  r%   r  _checkre  r  r  r  r   rt  s    r2  r   r     sC    a$$$	LLqww')V ::a=r4  )rn  c                     t        j                  | j                        st        j                  | j                        rt	        j
                  |       S t        | t        j                        S )Nr  )	re  is_float_dtyper  r  r  rP   r  r  boolrt  s    r2  rP   rP     sG    
 AGG$(>(>qww(G~~a  Qejj))r4  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  )re  r  r  r  r   rQ   r   r   r  r/   floatr$  r  rt  s    r2  rQ   rQ     s    agg&ejjm 4eEJJqM6JKKAGG$yy|uU|++AUZZ00r4  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  rt  s   r2  rJ  zisposinf.<locals>.<lambda>      I!''S r4  r  r  	r  r  re  r  r  r  r  r$  r  rt  s   `r2  rR   rR     sa    	LL""177++S AGG$E%L  AUZZ00r4  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  rt  s   r2  rJ  zisneginf.<locals>.<lambda>  r  r4  z-infr  r  rt  s   `r2  rS   rS     sa    	LL""177++S AGG$E&M!!AUZZ00r4  c                 .    t        j                  | |       S rA  r  r   rt  s    r2  rT   rT     s    88Aq>r4  r_   c                     t        j                  | j                        rt        j                  |       dk(  S t        j
                  | t        j                        S )Nr   r  )re  r  r  r  r   r  r  rt  s    r2  rU   rU     s>    
 agg&zz!}!!??1EJJ//r4  c                 ,    t        j                  |       S rA  )r  	bessel_i0rt  s    r2  rV   rV     s     ??1r4  c                 ,    t        j                  |       S rA  )r  rX   rt  s    r2  rX   rX     s    <<?r4  c                 ,    t        j                  |       S rA  )r  rY   rt  s    r2  rY   rY     r  r4  c                 ,    t        j                  |       S rA  )r  rZ   rt  s    r2  rZ   rZ     r  r4  c                 ,    t        j                  |       S rA  )r  r[   rt  s    r2  r[   r[     r  r4  c                 ,    t        j                  |       S rA  )r  r\   rt  s    r2  r\   r\     r  r4  dimr  c                     |xs | j                   }t        j                  |      }t        | |      }t        |t	        ||d      z
  |      S )NTkeepdim)r  re  get_computation_dtyper)   r   )ru  r  r  result_dtypecomputation_dtypea_s         r2  r^   r^     sK     #AGGL33LA	 $5	6B"2	"c4(H#H,WWr4  selfFr  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  )r8  r   numelr  r   rA   rY   r   r   r   r/   r  r   rv   )r  r  r  maxesmaxes_squeezedresults         r2  r   r     s     c8$fzz|qyy4#w7;;==JJuzz$'d;EeUYY[E%L%@!DE%U5==+DNYYuyy.W=F::<N++r4  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        )r8  r%   re  is_boolean_dtyper  is_integer_dtyper   r  finforT  minr   rT   rS   rR   )ru  r  r  r  r  s        r2  rb   rb   .  s     a$$$agg&%*@*@*Iwwy
{~QWW%))~QWW%))[[Qa0F[[*FF;F[[*FF;FMr4  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.rH  rH  r4  r2  rJ  z_neg_meta.<locals>.<lambda>M  s      r4  )r  r  r  r  rt  s    r2  	_neg_metar  J  s#    	LL	uzz!	
r4  )ro  c                 ,    t        j                  |       S rA  )r  rc   rt  s    r2  rc   rc   U  s     99Q<r4  c                 |    t        | t              sJ | j                  t        j                  u rd}t        |      | S )Nz'positive does not support bool tensors.)r8  r%   r  r  r  rX  )ru  r  s     r2  rd   rd   ^  s7    a$$$ww%**73Hr4  c                     t        | t              sJ t        j                  | j                        rt        j                  |       S | S rA  )r8  r%   re  r  r  r  r   rt  s    r2  r   r   g  s7    a$$$agg&zz!}Hr4  c                 ,    t        j                  |       S rA  )r  rf   rt  s    r2  rf   rf   n  s    Ar4  rt  )decimalsr  c                    |dk(  rt        j                  |       S d|z  }d| z  }t        j                  t        j                  t        j                  | |            |      S )Nr   
   )r  rg   r   )ru  r  ten_powten_neg_pows       r2  rg   rg   s  sS     1}{{1~h,hY'yyUYYq'%:;[IIr4  c                 ,    t        j                  |       S rA  )r  r   rt  s    r2  r   r     r  r4  c                 R    t        dt        dt        t        |                         S )NrK  )r   rv   rA   rc   rt  s    r2  rh   rh     s    q#aSV-..r4  c                     t        j                  | j                        r-| j                         }t	        j
                  |dk(  d| |z        S | j                         S Nr   )re  r  r  r/   r  r   rj   )ru  a_abss     r2  ri   ri     sE    agg&{{5A:q!e)44vvxr4  c                 ,    t        j                  |       S rA  )r  rj   rt  s    r2  rj   rj     r  r4  c                 ,    t        j                  |       S rA  )r  rk   rt  s    r2  rk   rk     r  r4  c                 ,    t        j                  |       S rA  )r  rl   rt  s    r2  rl   rl     r  r4  c                     t         j                  | z  } t        j                  | dk(  dt        j                  |       | z        S Nr   rK  )mathpir  r   rl   rt  s    r2  rm   rm     s3    !A;;qAvq%))A,"233r4  c                 ,    t        j                  |       S rA  )r  rn   rt  s    r2  rn   rn     r  r4  c                 ,    t        j                  |       S rA  )r  rp   rt  s    r2  rp   rp     r  r4  c                     t        | |       S rA  )r   rt  s    r2  rq   rq     s    
 q!9r4  c                 ,    t        j                  |       S rA  )r  rr   rt  s    r2  rr   rr     r  r4  c                 ,    t        j                  |       S rA  )r  rs   rt  s    r2  rs   rs     r  r4  c                 ,    t        j                  |       S rA  )r  ru   rt  s    r2  ru   ru     r  r4  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: rH  )input_dtypes   r2  rJ  z!view_as_complex.<locals>.<lambda>  s     55@MC r4  r   c                       y)Nz-Input tensor must have one or more dimensionsrH  rH  r4  r2  rJ  z!view_as_complex.<locals>.<lambda>  r  r4  rP     c                       y)Nz+Tensor must have a last dimension of size 2rH  rH  r4  r2  rJ  z!view_as_complex.<locals>.<lambda>  r  r4  rK  c                       y)Nz/Tensor must have a last dimension with stride 1rH  rH  r4  r2  rJ  z!view_as_complex.<locals>.<lambda>  r  r4  c              3   ,   K   | ]  }|d z  dk(    yw)r  r   NrH  )rD  strides     r2  rF  z"view_as_complex.<locals>.<genexpr>  s     8VaZ1_8   c                       y)NzCTensor must have a stride divisible by 2 for all but last dimensionrH  rH  r4  r2  rJ  z!view_as_complex.<locals>.<lambda>  r  r4  c                       y)Nz0Tensor must have a storage_offset divisible by 2rH  rH  r4  r2  rJ  z!view_as_complex.<locals>.<lambda>  r  r4  )r  r  r  re  r  sizerN  r  builtinsr   storage_offsetr  view_element_typecorresponding_complex_dtyper   )r  sizesold_stridesdimsr  s       @r2  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r4  c           	      <     dt         f fd}|S )Nrr  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ru  brv  ru  r,  rp  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!rH  r  s   r2  rJ  zQ_make_elementwise_binary_reference.<locals>.inner.<locals>._ref.<locals>.<lambda>      4& !> > r4  c                        dS )Nzc: Received a rhs Python scalar to an elementwise binary operation that does not accept rhs scalars!rH  r/  s   r2  rJ  zQ_make_elementwise_binary_reference.<locals>.inner.<locals>._ref.<locals>.<lambda>  r0  r4  c                        dS )Nz?: Receive two Number inputs to an elementwise binary operation!rH  r/  s   r2  rJ  zQ_make_elementwise_binary_reference.<locals>.inner.<locals>._ref.<locals>.<lambda>  s    4& _` r4  )r  _check_valuer8  r   rl  r<  )ru  r,  r;  r  rr  supports_lhs_python_scalarsupports_rhs_python_scalarsupports_two_python_scalarss      r2  rz  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??r4  )r}  r   r,   r   Tensorr    r.   r{  re  r|  rm  )
rr  rz  rn  has_outr  should_register_decompositionr4  r5  r6  rx  s
   ` r2  r~  z1_make_elementwise_binary_reference.<locals>.inner  s    <==D	t	+ * 3

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

 

	@.  ;=&Dm#''d3G#@+"7+D1r4  r  )	rx  rn  r  r8  r4  r5  r6  r9  r~  s	   ```````` r2  "_make_elementwise_binary_referencer:    s    *H * *X Lr4  r+  alphar,  r<  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  rd  )rl  r8  r%   r  re  r   r  r   r/  rW  r  r   rv   r<  ru  r,  r<  r  r  r  r;  s          r2  rv   rv   ,  s      Aq!DAq%a4!''))%0$u'B'BK(
 ,DK=8WXcWddefCS/!a$		!U#AE	AYYq!_F'A77r4  )rx  r4  r5  c                 .    t        j                  | |      S rA  )r  rw   r+  s     r2  rw   rw   O       ;;q!r4  )rx  c                 .    t        j                  | |      S rA  )r  rx   r+  s     r2  rx   rx   X       Q""r4  c                 .    t        j                  | |      S rA  )r  
shift_leftr+  s     r2  ry   ry   _       Aq!!r4  c                 .    t        j                  | |      S rA  )r  rz   r+  s     r2  rz   rz   f  rF  r4  c                 .    t        j                  | |      S rA  )r  shift_right_arithmeticr+  s     r2  r{   r{   m  s     ''1--r4  c                 .    t        j                  | |      S rA  )r  r|   r+  s     r2  r|   r|   t  rC  r4  )rx  r4  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  r1  /Expected divisor (b) to be on the same device (&) as dividend (a), but it is found on rd  )r8  r   r7  r!  r  r1  rX  r   rk   rc   r/   )ru  r,  r  s      r2  r   r   {  s     !VAv!6!177188<	Av	:a#8QXX=Q?zIopqpxpxoyyz{3SQ[#a&11r4  )rounding_moderO  c                    |t        | |      S |dk(  rt        | |      S |dk(  rt        | |      S d| d}t        |      )z/
    Reference implementation of torch.div
    ru   rG   zLdiv expected rounding_mode to be one of None, 'trunc', or 'floor' but found .)r   r   r   rW  )ru  r,  rO  r  s       r2  r   r     s\     1a  	'	!Aq!!	'	!Aq!!\]j\kklmor4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r         
 88Aq>r4  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)r8  r&   r   r   r  rp   rE   re  r  r  r  rD   r  r   r+  s     r2  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?r4  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!)r8  r   rW  re  get_higher_dtyper  r  
complex128float64r)   rl  r   ru  r,  r  s      r2  r   r     s    
 !VAv!6K
 	

 ""1a(Ee$   	 5)A5)AAq!DAqq!9r4  )rx  r6  r9  c                    t        | t              r(t        |t              rt        |       } t        |      }n*t        |t              r3t        | t              r#t        || j                  | j
                        }nt        | t              r3t        |t              r#t        | |j                  |j
                        } nt        | t              rt        |t              r| j
                  |j
                  k7  rk| j
                  t        j
                  d      k(  r(d| j
                   d|j
                   d}t        |      t        j                  || j
                        }t        | t              rt        |t              sJ | j                  t        j                        rt        | |      S t        j                        rt        | |      S t        j                  dfd       y )	NrL  cpurM  rN  rd  r0  Fc                        dS )Nz not supported for floor_dividerH  r  s   r2  rJ  zfloor_divide.<locals>.<lambda>  s    ug-L$M r4  )r8  r   r!  r7  r  r1  r  rX  r  
device_putre  r  _floor_divide_floatr  _floor_divide_integerr  )ru  r,  r  r  s      @r2  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Nr4  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  )
rl  r  	is_signedr  r   r  rk   r   r   r)   )ru  r,  offsets      r2  ra  ra     s    Aq!DAq77yyA mmA%--"22??

1a@PTU@UVF99Q?4VQWWEEEr4  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   rK  rV  rL  )r   r   r   r|   r   r   rx   r   rG   r   rv   r!  r  r1  r   )
ru  r,  modr   different_signed_inputsnon_zero_remaindermask	floor_div	basic_divzero_tensors
             r2  r`  r`  +  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0r4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r   D       ::ar4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r   M  rn  r4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r   V  rn  r4  mantissaexponentc                 f    t         j                  j                  t        j                  |             S rA  )r  return_typesfrexpr  r  s    r2  ru  ru  _  s$     ##EKK$566r4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r   e  s     99Q?r4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r   n  rS  r4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r   v  rS  r4  valuesc                    t        j                  | d      }t        j                  t        j                  | d      t        j                  |             }t        j
                  |dd      }t        j
                  |||      }|S r  )r  r   r   r   rT   r   )r  ry  input_eq_zeroinput_lt_zerozeros_and_onesr;  s         r2  r   r   ~  sc     HHUA&M$$UXXeQ%7U9KLM[[15N[[?FMr4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r     rA  r4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r     s     <<1r4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r     s     ==Ar4  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 rd  r  )ru  r,  r  s   r2  rJ  z#_check_close_args.<locals>.<lambda>  s)    4&LQWWIUZ[\[b[bZccde r4  r   c                        d dS )Nz6: rtol must be greater than or equal to zero, but got rd  rH  )r  r  s   r2  rJ  z#_check_close_args.<locals>.<lambda>      4&NtfTUV r4  c                       d  dS )Nz6: atol must be greater than or equal to zero, but got rd  rH  )r  r  s   r2  rJ  z#_check_close_args.<locals>.<lambda>  r  r4  )r  r3  r  r  r  ru  r,  r  r  s   `````r2  _check_close_argsr    sV     
	177e 
LL	V 
LL	Vr4  	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   re  r  r  r  r   r   rT   r  convert_element_typer  get_default_dtyperv   r/   r   r   rP   r   )	ru  r,  r  r  r  closeallowed_erroractual_errorr  s	            r2  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 Mr4  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   )ru  r,  r  promote_to_intgress         r2  r   r     s     GGE uzz5;;77N&&q%++6&&q%++6		!QAAFAq!A
))EIIaOa'
(C$3P%*D*DS%*PPr4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r     rS  r4  c                    t        j                  |       t        j                  |      k\  }t        j                  || |      }t        j                  |||       }t        j                  t        j                  t        j
                  t        j                  |                   t        j                  |       t        j                  |      k(        }t        j                  | j                        st        j                  |j                        rt        j                  |      dk  }t        j                  ||t        j                  t        j                  |      t        j                  |      z               }t        j                  |||t        j                  t        j                  ||z
              z         }t        j                  |      }	t        j                  |	t        t        d      t        d            |      S t        j                  || |t        j                  t        j                  ||z
              z         S )Nr   r  )r  r   r   r   r   rP   re  r  r  rY   rA   rZ   rT   complexr  )
ru  r,  ri  max_min_inf_maskneg_min_maskinf_valsnon_nan_valsnan_masks
             r2  r   r     s    ::a=EJJqM)D;;tQ"D;;tQ"D  %..A78%**Q-5::VW=:XH agg&%*@*@*Izz$'!+;;$		%))D/EIIdO*K L
 {{hu{{599TD[3I'J J
 ;;t${{8WU5\5<%H,WW{{8Qu{{599TD[;Q/R(RSSr4  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 dtypesrH  rH  r4  r2  rJ  zlogaddexp2.<locals>.<lambda>)  r  r4  rU  r  )r  r  re  r  r  r   r   rQ   r  rY   rZ   rD   )ru  r,  ri  r  r  r  	inv_log_2r  s           r2  r   r   !  s     
LL##AGG,O0F0Fqww0OP;
 6D;;tQ"D;;tQ"D  Qa8Hdhhqk!IEKK

4$; 789DDF;;xF++r4  c                     t        j                  | j                        s| dk7  } t        j                  |j                        s|dk7  }| |z  S r  re  r  r  r+  s     r2  r   r   5  C     !!!''*F!!!''*Fq5Lr4  c                 P    t        j                  | j                        s| dk(  S |  S r  r  rt  s    r2  r   r   @  s$    !!!''*Av2Ir4  c                     t        j                  | j                        s| dk7  } t        j                  |j                        s|dk7  }t        | |      S r  )re  r  r  rz   r+  s     r2  r   r   G  sG     !!!''*F!!!''*Far4  c                     t        j                  | j                        s| dk7  } t        j                  |j                        s|dk7  }| |z  S r  r  r+  s     r2  r   r   S  r  r4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r   ^  rS  r4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r   f       ==Ar4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r   m  r  r4  )rx  r6  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r   t  s    
 99Q?r4  c                 .    t        j                  | |      S rA  r  r+  s     r2  r   r   |  rS  r4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r     s     ??1a  r4  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r     s     ??1a  r4  rK  c                 l    t        | t              rd}t        |      t        j                  || |      S )Nz?Received a Number for the first argument, but expected a Tensorr;  )r8  r   rW  r  r   )ru  r,  r<  r  s       r2  r   r     s0     !VOo99Q''r4  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.rH  rH  r4  r2  rJ  zsub.<locals>.<lambda>  s    C r4  rK  r>  r  rd  )rl  r8  r%   r  r  re  r  r  r   r   r/  rW  r7  r  r   r   r<  r?  s          r2  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7r4  r   )rx  r  rn  r6  c                 .    t        j                  | |      S rA  )r  r   r+  s     r2  r   r     s     99Q?r4  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"rH  rH  r4  r2  rJ  zxlogy.<locals>.<lambda>  r  r4  rL  r   r  )r  r  r8  r%   r   r!  r  r1  r   r   r   rY   rT   r  )ru  r,  rhss      r2  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9r4  )rx  rn  r6  c                     t        j                  |       }t        j                  |      rt        j                  | |      S t        t        j                  | |            S rA  )re  	get_dtyper  r  r   ru   r[  s      r2  r   r     sE     OOAEe$yyA1a!!r4  )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  r.  r  r  s   r2  rJ  zaddcdiv.<locals>.<lambda>      -d5k]:YZeYffgh r4  r  re  r   r  r3  r   r/  r  r  r  r  r  r  s      ` @r2  r   r   	  _      

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

 %'/G+++r4  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  r.  r  s   r2  rJ  zaddcmul.<locals>.<lambda>9  r  r4  r  r  s      ` @r2  r   r   $  r  r4  )ru  r  rT  r  rT  c                    ||d}t        |      |Vt        j                  |       }t        j                  t        j                  | |      |      }t        j
                  || |      } |Vt        j                  |       }t        j                  t        j                  | |      |      }t        j
                  || |      } | S )Nz+clamp called but both min and max are none!)rW  r  rT   rz   r   r   r   )ru  r  rT  r  a_isnan	conditions         r2  r   r   ?  s     {s{;o
++a.$$UXXa%5w?	
 KK	1c*
++a.$$UXXa%5w?	KK	1c*Hr4  c                 0    t        j                  | |      S )N)r  r  r   )r  r  s     r2  r}   r}   _       ;;t%%r4  c                 0    t        j                  | |      S )N)rT  r  )r  rT  s     r2  r~   r~   h  r  r4  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   r2  rJ  zwhere.<locals>.<lambda>  s    5djj\B r4  )
NotImplementedErrorre  check_same_devicer  r  r  r  rl  r  r   )r  ru  r,  s   `  r2  r   r   x  sp     	yAI!!	D!QF	LL

ejj B
 "$1-JD!Q;;tQ""r4  memory_formatr  c                4    t        j                  | |      }|S Nr  )r  r   )ru  r  r  s      r2  r   r     s    
 [[-8FMr4  )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!)r1  rX  r  r   )ru  r,  r  r  s       r2  r   r     sM    !((ahh"6/zQXXJNxy3==Ar4  c                     | j                         dk7  rd| j                          d}t        |      t        j                  | j                        } |t        j                  |             S )NrK  zCan't convert a tensor with z elements to a number!)r  rW  re  r   r  r  r   )ru  r  number_types      r2  r   r     sW    wwyA~,QWWYK7MNo %%agg.Kuzz!}%%r4  r1  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  )r1  r  r  r  preserve_formatre  is_contiguous_for_memory_format)ru  r1  r  r  r  r  r  r  s           r2  _to_will_aliasr    s      
	
t^1qxx61
	
d].agg.
	
 t^1qxx61
	
 T! U 5 55U44QmTr4  c                      t         rA  )r  )rk  r  s     r2  _to_dispatchr    s    
r4  c                     | ||||d}|S N)r1  r  r  r  r  rH  r1  r  r  r  r  r  s         r2  
_to_devicer    s!     $&F Mr4  c                 <    t        j                  |       ||||d}|S r  )r  r1  r  s         r2  _to_device_strr    s*     ,,v&$&F Mr4  c                     | |||d}|S )N)r  r  r  r  rH  )r  r  r  r  r  s        r2  	_to_dtyper    s     $&	F Mr4  otherc                 `    | j                   }| j                  }| j                  }||||||d}|S )N)r1  r  r  r  r  r  )r1  r  r  )r  r  r  r  r1  r  r  r  s           r2  	_to_otherr    sA     \\FKKE\\F $&F Mr4  	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  r1  r  r  r1  r  )	r8  rh  r  r1  r  r/  indexr  pop)ru  r  options_to_checkkws       r2  _canonicalize_to_argumentsr    s    E9Ih,?!E#ll9X+>?	( "?&9R=E<Q<Q+Q(N!"**ahhmm;%bM//9R=3F3F!((..3X Ar4(IbM9 b!"r4  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  r1  r  )rN  r  r  r  r  getr  r  r  r  r  r   )ru  rk  r  r  r  r  s         r2  r   r   5  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Mr4  )has_identityaccepts_dim_tupler(  keepdimsr  r  rr  r  r  r(  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rA  rO  rD  iru  s     r2  rF  z_reduction.<locals>.<genexpr>}  s     1K!''!*1K   zJreducing over zero-size dimension for reduction operation without identityrK  z7Expected the dtype of reduction result and out to match	copy_fromr   )r8  r%   ndimrX  r  r   re  reduction_dimsrO  r"  r   reduction_dtypesr)   rV  r  broadcast_in_dimr*   r+   r  )ru  rr  r  r  r(  r   r  r  r  valid_shaper  r  r  r  output_shapebroadcast_dimss   `               r2  
_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_formatrI  s    r2  rJ  z3_make_copy_from_view.<locals>._fn.<locals>.<lambda>  s    aggE,C,CgD r4  )pytreetree_map)r  rk  r  r  r  s       r2  r  z!_make_copy_from_view.<locals>._fn  s8    T-s-f-?MD
 	
r4  _copy)r  r  r}  r.   r   r  updaterm  )r  aten_fnannotationsr  	copy_names   `    r2  _make_copy_from_viewr     s     dBKK(G"/4K	w	B
2Y 
 
 ;;-u%ICL{+47434S9Jr4  c                     t        j                  t        j                  t        j                  |       ||            }| j                  t         j                  k(  r |j                  t         j                        }|S )Nr  r  )r  r   r   r  uint8r   )ru  r  r  r  s       r2  r   r     sU     uyy):):1)=sGTUFww%++-Mr4  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  r8  listrR  rN  r   r   r   r  r"  r  r  )ru  r  r  r  r  s        r2  r   r     s     
!EJJ	/B#e}%#c(a-C144U; 	ww%++))&%++>>Mr4  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 NrH  r(  r   r  r  r  )r  re  r  r  r  int64r  r  r   r"   SAMEru  r  r  r  r  s        r2  r   r     s     }?IIE##AGG,0F0Fqww0OKKEGGE
byC2I			499 r4  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  ru  rO  s   r2  rJ  zsum_to_size.<locals>.<lambda>  s    %eW,I!''RST r4  r   c              3   \   K   | ]#  }|z
     d k(  rj                   |   d k7  r| % ywrK  Nr  )rD  r  ru  leading_dimsrO  s     r2  rF  zsum_to_size.<locals>.<genexpr>	  s9      5\!"a'AGGAJ!O 	
5s   ),T)r  r  r  )re  extract_shape_from_varargsr  r  is_expandable_torO  is_same_shaperN  r  view_ofr  rR  rV  r   )ru  rO  reduce_dimsr4  s   `` @r2  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Br4  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  re  r  r  r  r)  r  r  r   r"   r*  r+  s        r2  r   r   	  s     }?IIE##AGG,0F0Fqww0OKKEGGE
byC2I	

499 r4  r  c          
      x    |dk(  s|g k(  rd }t        | t        j                  ||d |dt        j                        S NrH  Fr(  r   r  r  r  r  )r  r  r   r"   r*  ru  r  r  r  s       r2  r   r   *	  E     byC2I	

499	 	r4  c          
      x    |dk(  s|g k(  rd }t        | t        j                  ||d |dt        j                        S r<  )r  r  r   r"   r*  r>  s       r2  r   r   B	  r?  r4  c                 6    |t        | t              r| }d } | |fS rA  )r8  r  )r  unbiaseds     r2  _dim_var_dispatchrC  Z	  s'     JsD1=r4  
correctionrB  rE  c          
          t        ||      \  }}t        j                  ||      }|dk(  s|g k(  rd }t        | t	        t
        j                  |      ||d d dt        j                        }|S )NrH  rD  Tr=  )	rC  re  set_correctionr  r   r  r   r"   COMPLEX_TO_FLOAT)ru  r  rB  r  rE  r  s         r2  r   r   d	  sr     &c84MC%%h
;J
byC2I			j14EE	F Mr4  c                .   t        ||      \  }}t        j                  ||      }t        j                  | t        j
                        \  }}t        | |      } t        j                  | |||      }t        j                  |      }|J t        ||      S N)rE  r  )
rC  re  rG  r  r"   rH  r)   r  r   rp   )	ru  r  rB  r  rE  opmath_dtyper  a_vara_stds	            r2  r   r   	  s     &c84MC%%h
;J00	%66L% 	 <0AIIaWEEJJuE"5%00r4  c          	         	 |dk(  s|g k(  rd }	 j                   t        j                  d u xs j                   k(  fd       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$                   fd|D        d      }t'        ||      } j                   n}t)        ||      }5t        t*              sJ t-        |j                        t/        |      S |S )	NrH  c                  *    d  dj                    dS )Nz"Expected out tensor to have dtype z
, but got  insteadr  r%  s   r2  rJ  zmean.<locals>.<lambda>	  s    4UG:cii[PXY r4  r(  c                      ddnd d  S )Nz&mean(): could not infer output dtype. Inputr   z> dtype must be either a floating point or complex dtype. Got: rH  )r  
orig_dtypes   r2  rJ  zmean.<locals>.<lambda>	  s'    4$,w*= >77<g? r4  r   rK  c              3   <   K   | ]  }j                   |     y wrA  r  r  s     r2  rF  zmean.<locals>.<genexpr>	  s     7Qq
7Qr  r	  )r  r  r  r  r  r   r"   KEEP_PROMOTED_TYPEre  r  r  r8  r   r  rO  r  r   operatorr   r   r)   r%   r*   r+   )
ru  r  r  r  r  r  r(  nelemr  rS  s
   `  ``    @r2  r   r   	  sV    byC2IJ}	LLt)syyE)Y 			4GGF 
LLU#Du'='=e'D	
 #sf-D1A&7QD7QST"UE'F#m177L$V\:F
#z***V\\2<<Mr4  out0out1)rB  r  rE  c                d   t        ||      \  }}t        j                  ||      }t        j                  | t        j
                        \  }}| j                  }t        | |      } t        j                  | |||      \  }}	t        j                  |      }
|J t        |
|      t        |	|      fS rJ  )rC  re  rG  r  r"   rH  r  r)   r  r   rp   )ru  r  rB  r  rE  rK  r  original_dtyperL  a_meanrM  s              r2  r   r   	  s     &c84MC%%h
;J00	%66L% WWN<0ANN1cj'RME6JJuEu-7 r4  c                b    t        ||      \  }}t        | ||||      }t        | ||      }||fS )NrD  )rC  r   r   )ru  r  rB  r  rE  vms          r2  r   r   	  s=     &c84MCAsHg*=AQWAa4Kr4  )r  vec1vec2)betar<  r`  ra  rb  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 )NrK  c                  $    d j                    dS )Nz*addr: Expected 1-D argument vec1, but got -Dr  )r`  s   r2  rJ  zaddr.<locals>.<lambda>
      <TYYKrJ r4  c                  $    d j                    dS )Nz*addr: Expected 1-D argument vec2, but got re  rf  )ra  s   r2  rJ  zaddr.<locals>.<lambda>	
  rg  r4  r<  rb  c                      d  dS )NzBoolean z$ only supported for Boolean results.rH  )arg_names   r2  rJ  zaddr.<locals>.<lambda>
  s    (8*,PQ r4  r   c                       dt                S )Nzexpected bool/int beta but got r.  rb  s   r2  rJ  zaddr.<locals>.<lambda>
  s    5d4j\B r4  c                       dt                S )Nz expected bool/int alpha but got r.  rl  s   r2  rJ  zaddr.<locals>.<lambda>
  s    6tDzlC r4  Fc                  :    dt                dj                   S Nzcannot safely convert z to r/  r  )rb  r  s   r2  rJ  zaddr.<locals>.<lambda>(
  s    ,T$ZLTZZLI r4  c                  :    dt                dj                   S ro  rp  )r<  r  s   r2  rJ  zaddr.<locals>.<lambda>,
  s    ,T%[Mdjj\J r4  )r  r  r  r8  r  re  r  r  r   rO  r   r/  intouterr  r   r   )r  r`  ra  rb  r<  argrj  s   ````` @r2  r   r   	  s    
LL		QJ 
LL		QJ !'*T6N; Xc4 LL&&tzz2 7**4::67**4::6Q	 ;;tzz!}djjm4Ddjj)!$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$;T4)@!@@@r4  rt  rk  .c                     |s't        | t        j                  j                        r| }n,t        | t        j                  j                        rJ | f|z   }t	        d |D              }t        |      dkD  r|S |d   S )z5Reference implementation of :func:`torch.atleast_1d`.c              3   V   K   | ]!  }|j                   d k\  r|nt        |d       # yw)rK  r   N)r  r   rD  ru  s     r2  rF  zatleast_1d.<locals>.<genexpr>?
  s%     E!QVVq[i1o5Es   ')rK  r   )r8  collectionsabcr   rR  rN  )rt  rk  args_r  s       r2  r   r   6
  sm     JsKOO$<$<=c;??#;#;<<<
EuE
ECc(Q,3*CF*r4  at_least_fnc                 N     | |      }t        |t              sJ t        ||      S rA  )r8  r%   r   )r{  r  rt  arg_s       r2  _unsqueeze_atleastr~  E
  s+     sDdJ'''T3r4  c                 *   |s't        | t        j                  j                        r| }n,t        | t        j                  j                        rJ | f|z   }t	        t
        t        d      t        fd|D              }t        |      dkD  r|S |d   S )z5Reference implementation of :func:`torch.atleast_2d`.r   c              3   P   K   | ]  }|j                   d k\  r|n |        yw)r  Nrf  )rD  ru  unsqueeze_atleast_1ds     r2  rF  zatleast_2d.<locals>.<genexpr>X
  &     M!QVVq[&:1&==M   #&rK  )	r8  rx  ry  r   r   r~  r   rR  rN  )rt  rk  rz  r  r  s       @r2  r   r   N
  s~     JsKOO$<$<=c;??#;#;<<<"#5z1E
MuM
MCc(Q,3*CF*r4  c                 *   |s't        | t        j                  j                        r| }n,t        | t        j                  j                        rJ | f|z   }t	        t
        t        d      t        fd|D              }t        |      dkD  r|S |d   S )z5Reference implementation of :func:`torch.atleast_3d`.rP  c              3   P   K   | ]  }|j                   d k\  r|n |        yw)   Nrf  )rD  ru  unsqueeze_atleast_2ds     r2  rF  zatleast_3d.<locals>.<genexpr>g
  r  r  rK  r   )	r8  rx  ry  r   r   r~  r   rR  rN  )rt  rk  rz  r  r  s       @r2  r   r   ]
  s~     JsKOO$<$<=c;??#;#;<<<"#5z2F
MuM
MCc(Q,3*CF*r4  r!  r  r#  c                 Z    ||n| j                         }t        j                  | |||      S rA  )r#  r  r   )ru  r!  r  r#  storage_offset_ints        r2  r   r   k
  s6     )4!:J:J:L  AtV-?@@r4  srcc                 @    |dn|}t        j                  | ||||      S r  )r  r   )r  r  r!  r  r#  r  s         r2  r   r   w
  s+     -4.##E3f>PQQr4  c                  8    t        j                  t        |        S rA  )r  Sizer^  )rZ  s    r2  r   r   
  s    ::'011r4  c                  v    t        |       dk(  rt        | d   t              s| d   } t        t	        | ddi      S )NrK  r   r_  F)rN  r8  r7  r$  rl  tensorss    r2  r   r   
  s<     7|qGAJ!?!* 'MuMNNr4  c                     t        |      t        | j                        z
  }t        t        |t        | j                        |z               }t	        j
                  | ||      S rA  )rN  rO  rR  rV  r  r  )ru  r!  startr(  s       r2  r   r   
  sK    IAGG$Euc!''lU234D!!!T400r4  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 rA  )re  suggest_memory_formatr  r  )inputsformatr   fs       r2   cat_compute_output_memory_formatz-cat.<locals>.cat_compute_output_memory_format
  si     	A++A.AE+++!fk...F	 !!!r4  r   z3cat expects at least one tensor, but received zero!r  Fr>  rK  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 listrf  )exampler  r   s   r2  rJ  zcat.<locals>.<lambda>
  s0       '~-A!&& J%%&C|5 r4  c                  *    d j                    d dS )Nr  z*-D tensors, but got 1-D for tensor number r  rf  )r  
tensor_idxs   r2  rJ  zcat.<locals>.<lambda>
  s$     #LL> *!!+L: r4  c              3   4   K   | ]  }|j                     y wrA  )requires_gradrC  s     r2  rF  zcat.<locals>.<genexpr>  s     $FQ__$F   r   r  r1  r  r  r  )rN  rW  r8  r%   re  r  rQ  r?  rU  r  r  r  rO  r  r  r   	Exceptionr  r  r1  canonicalize_dimvalidate_idxr  r   r   )r  r  r  r  tensorr?  rO  filteredr  r  r  r  r   r  s             @@@@r2  r   r   
  sF   
 7|qCo .&*---. 
WEuEJ$ 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r3  )r  r   r  rC  s     r2  rF  zcolumn_stack.<locals>.<genexpr>  s7      ;<QVVaZQYY	1~66s   <>rK  )rR  r   r  aligned_tensorss     r2  r   r     s(     @G O ""r4  c                     t        j                  | j                        s| S | j                  rt	        j
                  |       S t        j                  |       S rA  )re  r  r  	is_sparser  r8   r  r   r  s    r2  r   r     s@    !!%++.""5))::er4  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$                  ||      }|}	t	              D ]s  
d
z
  dz
  z     dk\  r)|	j                  
   |	j                  
      z
        }	dz      dk\  sK|	j                  
d|	j                  
   dz      z
        }	u t'        j(                  |	|       |S )
Nr  r   c                       dt                S )Nz1Length of pad must be even but instead it equals rM  )r  s   r2  rJ  z!constant_pad_nd.<locals>.<lambda>,  s    CCH:N r4  c                  (    dt               d  dS )Nz`Length of pad should be no more than twice the number of dimensions of the input. Pad length is z while the input has  dimensions.rM  )l_inpr  s   r2  rJ  z!constant_pad_nd.<locals>.<lambda>7  s"     225c(;P' r4  rK  c              3   &   K   | ]	  }|d k    yw)r   NrH  )rD  ps     r2  rF  z"constant_pad_nd.<locals>.<genexpr>N  s     'aAE's   c            	      F    d z       d    ddz       d z    d	S )NzThe input size z, plus negative padding r  rK  zG resulted in a negative output size, which is invalid. Check dimension z of your input.rH  )r  input_sizesl_diffr  pad_idxs   r2  rJ  z!constant_pad_nd.<locals>.<lambda>X  sG    ok&1*&=%>>V7|nE#gk"2!3 4117!OM r4  r  F)r  r  rN  rO  rV  r   r"  r   r   r$  r  re  r  r  r  r1  r  r  rE   r  r   )r  r  r  l_padc_input	new_shapenew_dimr  r;  c_outputr  r  r  r  r  s    `        @@@@@r2  r   r   %  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$Mr4  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 operatorrH  rH  r4  r2  rJ  zcontiguous.<locals>.<lambda>  r  r4  r  )r  r  r  re  r  r   )ru  r  s     r2  r   r   z  sI     
LL...R
 ,,QmL;;q66r4  c                 p    t        j                  t        |       dkD  d        t        |  }t	        |d      S )Nr   c                       y)Nz%dstack expects a non-empty TensorListrH  rH  r4  r2  rJ  zdstack.<locals>.<lambda>  r  r4  r  )r  r  rN  r   r   r  s     r2  r   r     1    	LLW!#RS '*O""r4  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   r>  rK  c                       y)Nz3expand: the requested shape has too few dimensions!rH  rH  r4  r2  rJ  zexpand.<locals>.<lambda>  r  r4  rP  c                      d  dS )Nz3expand: attempting to expand a dimension of length rd  rH  rI  s   r2  rJ  zexpand.<locals>.<lambda>  s    I!AN r4  )rQ  r?  rN  r8  r   rR  r  r  rO  r$  rU  re  validate_shaper  r  rV  )	ru  rO  r?  rd  shape_r]  
offset_idxrequested_lengthrE  s	           @r2  r   r     s8   J
 5zQ:eAh9eAh	LLE
c!''l"E
 Z#agg,&F%[FAGG$ 
OQ6\
 , !1Q!67 &#AF+&2%N		
 2BR1G-Qz
O 
 !!	65vs177|f'<=> r4  c                 8    | j                  |j                        S rA  )r   rO  r+  s     r2  r   r     s    88AGGr4  chunksc           	         |dk  rd| d}t        |      t        j                  | j                  |      }| j                  |   }t        j                  ||z        }t        j                  ||z        }||z  }g }t        |      D ]"  }	|j                  t        | ||	|z  |             $ |dk7  r |j                  t        | |||z  |             t        |      S )Nr   z%Expected at least one chunk, but got rd  )rW  re  r  r  rO  r  r7   rG   rV  r  r   rR  )
ru  r  r  r  length
chunk_sizefull_chunkstail_chunk_sizer  r  s
             r2  r   r     s    {5fXQ?o

 
 
-CWWS\F6F?+J**Vj01Kz)OF; BfQQ^Z@AB !fQ[:%=OP=r4  	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  )re  r  r  r  _collapse_view_helpercollapse_viewcollapse)ru  r  r  r  new_stridess        r2  r   r     s    &&qvvy9I$$QVVW5G G! #88IwOI{""1i99 >>!Y00r4  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)
r8  rR  r$  rW  re  canonicalize_dimsr  validate_no_repeating_dimsr  rev)ru  r(  s     r2  r   r     sX     dE":dD+A<==""16640D	$$T*99Qr4  c                 N    | j                   dk  rt        d      t        | d      S )Nr  zInput must be >= 2-d.rK  r  rX  r   rt  s    r2  r   r     %    vvz2334=r4  c                 N    | j                   dk  rt        d      t        | d      S )NrK  zInput must be >= 1-d.r  r  rt  s    r2  r   r     r  r4  r  r  c                    t        t              rYt        j                  j	                         dk(  xr t        j                  j                        d        j                         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                  | z   |      S )Nr   c                       y)Nz'start must be an 0-dim integral Tensor.rH  rH  r4  r2  rJ  znarrow.<locals>.<lambda>  r  r4  c                       y)Nz-narrow() cannot be applied to a 0-dim tensor.rH  rH  r4  r2  rJ  znarrow.<locals>.<lambda>	  r  r4  c                       y)Nz&narrow(): length must be non-negative.rH  rH  r4  r2  rJ  znarrow.<locals>.<lambda>
  r  r4  c                      d   d  d dS )Nz0start out of range (expected to be in range of [, z], but got )rH  )
dim_lengthr  s   r2  rJ  znarrow.<locals>.<lambda>  s%    BJ;-rR\Q]]hinhoopq r4  c                      d d d  dS )Nzstart (z) + length (z) exceeds dimension size (z).rH  )r  r  r  s   r2  rJ  znarrow.<locals>.<lambda>  s    '%VH4NzlZ\] r4  axis)r8  r%   r  r  r  re  r  r  r   r  r  r!  _check_with
IndexErrorr  slice_in_dim)ru  r  r  r  r  s     ``@r2  r   r     s   
 %$IIK1D!7!7!D=	
 

	LL1UV	LL1NO

 
 
-CJ		u4*!4q
 qy
"	LLf$$] aSAAr4  	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  rB  r  )re  r  r  r  r  r)   r8  r%   r  r   r   )	ru  r  r  r  a_acc
biased_varr   rstdr  s	            r2  
_normalizer    s    " ''	:I33AGG<#A'89EeZ(((~~9udJ ;;zC'(Dt8t
Cd?r4  
dimensionsc                 R    t        |      D ]  }t        j                  | |      }  | S rA  )sortedr  r   )rE  r  r  s      r2  _unsqueeze_multipler  9  s+    j! $OOAs#$Hr4  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 rf  r  s   r2  rJ  z#native_group_norm.<locals>.<lambda>L  s    OPUPZPZ|\ r4  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   r2  rJ  z#native_group_norm.<locals>.<lambda>P  s#    V#EKK=0B:,
OP r4  r  )r  r  r  r   r  r  rO  r$  rV  r  r)   r  r   )r  r  r  r  r   r  r  r  r  input_reshapedr  r   r  r  unsqueeze_biasunsqueeze_weights   `     `         r2  r   r   ?  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r4  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k(  r,t        |	 j                        }	t        |
 j                        }
||	|
fS )NrK  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 = )rh  )r
  s   r2  rJ  z#native_layer_norm.<locals>.<lambda>  s     I

  r4  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 = rh  rO  )r
  r  s   r2  rJ  z#native_layer_norm.<locals>.<lambda>  s5     
fll
 %% 
	  r4  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   r2  rJ  z#native_layer_norm.<locals>.<lambda>  s4     
djj/ %% 
	  r4  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   r2  rJ  z#native_layer_norm.<locals>.<lambda>  sK    )

 
() 
  %	%
 ekk
 r4  r]  )rN  r  r  rO  rR  r  r   r$  rV  r  r)   r  r1  r/  )r  r
  r  r  r  normalized_ndimr  r  r  r   r  s   ````       r2  r   r   t  s    *+O	LL1	  
LL$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||E!&tU[[9&tU[[9tr4  c                     t        j                  | j                  t        j                  |            }t	        j
                  | |      S rA  )re  r  r  extract_dims_from_varargsr  r   )ru  r(  _permutations      r2  r   r     s9    **	//5L ??1l++r4  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-valuedrH  rH  r4  r2  rJ  zrenorm.<locals>.<lambda>  r  r4  r   c                       y)Nz'renorm: non-positive norm not supportedrH  rH  r4  r2  rJ  zrenorm.<locals>.<lambda>  r  r4  c                       y)Nz#renorm: maxnorm must be real-valuedrH  rH  r4  r2  rJ  zrenorm.<locals>.<lambda>  r  r4  c                      d  S )Nz,renorm: expected maxnorm to be >= 0 but got rH  )r  s   r2  rJ  zrenorm.<locals>.<lambda>  s     LWIV r4  rK  c                      d  dS )Nz/renorm: input needs at least 2 dimensions, got  dimensionsrH  rf  s   r2  rJ  zrenorm.<locals>.<lambda>  s    A${S r4  T)r  r  r  gHz>rU  )r  r  r8  r  r  re  r  r$  rV  r  r  linalgvector_normr   r  r  r   )
r  r  r  r  r9  acc_typer`   r  norm_factorr  s
      `     @r2  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++--r4  n_fft
hop_length
win_lengthwindowcenterpad_mode
normalizedonesidedreturn_complexc
                     t        j                  d u xs j                   j                  k(   f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      } 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        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 r0  r  r%  s   r2  rJ  zstft.<locals>.<lambda>  s,    OPUP\P\~^/0 r4     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 valuesrH  rH  r4  r2  rJ  zstft.<locals>.<lambda>  r  r4  rK  r  c                       y)Nzstft expected a 1D or 2D tensorrH  rH  r4  r2  rJ  zstft.<locals>.<lambda>  r  r4  r   r  c                      d  d S )Nzstft expected 0 < n_fft <= z, but got n_fft=rH  )r  r"  s   r2  rJ  zstft.<locals>.<lambda>(  s    -fX5EeWM r4  c                      d  S )Nz0stft expected hop_length > 0 but got hop_length=rH  )hop_length_s   r2  rJ  zstft.<locals>.<lambda>,  s    B;-P r4  c                      d  S )Nz9stft expected 0 < win_length <= n_fft but got win_length=rH  )win_length_s   r2  rJ  zstft.<locals>.<lambda>0  s    KK=Y r4  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  )r6  r%  s   r2  rJ  zstft.<locals>.<lambda>4  s(    F{mSUV)&,,89 r4  rL  rP  )	dimensionr!  steporthoc                       y)Nz9Cannot have onesided output if window or input is complexrH  rH  r4  r2  rJ  zstft.<locals>.<lambda>J  r  r4  r  r`   )r  r  r1  r(  re  r  r  r  r  r   	itertoolsr   rO  r  r  r  r!  r  r   r   fftrfft
transpose_squeeze_view_as_real)r  r"  r#  r$  r%  r&  r'  r(  r)  r*  return_complex_original_ndim
extra_dims
pad_amountextended_shapebatchleftcomplex_fftr`   r  r4  r  r6  s   ``  `               @@@r2  r*  r*    sK    
LL$7&--5<<7	
 !+ 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JJqME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((5K#/x_H 7dDOO	
 iinnUn6iimmErm5NN1all1o!3>u'9'9#'>>r4  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 r-  r0  r.  s   r2  rJ  zistft.<locals>.<lambda>h  s-    PQVQ]Q]P^_/0 r4  r/  c                  @    d j                    dj                    z   S rM  r0  r.  s   r2  rJ  zistft.<locals>.<lambda>s  s&    Pofmm_=> r4  rP  rK  r   c                       y)Nz"istft input tensor cannot be emptyrH  rH  r4  r2  rJ  zistft.<locals>.<lambda>|  r  r4  r  r  c                  "    d j                    S )Nz8istft expected a tensor with 2 or 3 dimensions, but got rf  r  s   r2  rJ  zistft.<locals>.<lambda>  s    J5::,W r4  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}rH  rH  r4  r2  rJ  zistft.<locals>.<lambda>  s    R r4  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}rH  rH  r4  r2  rJ  zistft.<locals>.<lambda>  r  r4  c                       y)Nz+istft expected 0 < hop_length <= win_lengthrH  rH  r4  r2  rJ  zistft.<locals>.<lambda>  r  r4  c                       y)Nz&istft expected 0 < win_length <= n_fftrH  rH  r4  r2  rJ  zistft.<locals>.<lambda>  r  r4  c                       y)NzDInvalid window shape. window has to be 1D and length of `win_length`rH  rH  r4  r2  rJ  zistft.<locals>.<lambda>  r  r4  rL  r:  c                       y)Nz9cannot have onesided output if window or input is complexrH  rH  r4  r2  rJ  zistft.<locals>.<lambda>  r  r4  r<  c                       y)Nz:Complex windows are incompatible with return_complex=FalserH  rH  r4  r2  rJ  zistft.<locals>.<lambda>  r  r4  )r  r  r  )r  r  r!  r9  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  r1  re  r  r  r!  r  r  rO  corresponding_real_dtyper  r  r   r   r   r>  ifftr   irfftr  unfold_backwardr   r   rT  r   warningswarn)r  r"  r#  r$  r%  r&  r(  r)  r  r*  r4  r6  n_framesfft_sizeexpected_output_signal_len	onesided_
real_dtypewindow_rI  rD  r`   y_tmpywindow_envelopr  ends   `   `                     r2  r+  r+  Y  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Hr4  a_shapea_strider8  r9  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   rK  c                      d  d d S )Nz%Maximum size for tensor at dimension z is z but size is rH  )r  max_sizer!  s   r2  rJ  z*_get_unfold_shape_stride.<locals>.<lambda>  s    7uD
-X\W]^ r4  c                      d  dS )NzStep is z but must be > 0rH  r9  s   r2  rJ  z*_get_unfold_shape_stride.<locals>.<lambda>  s    (4& 01 r4  )rN  re  r  r  r  r$  r  )ri  rj  r8  r!  r9  a_ndimlast_striderO  stridesr  rn  s      ``    @@r2  _get_unfold_shape_stridert    s     \F

 
 
ECaKqWS\H{!K	LL^
 
LLq1
 ME8nG	LLNN;
V|Cj4'D014c
'>r4  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 )
NFr-  c                       y)Nzbrepeat: Number of dimensions of repeat dims can not be smaller than number of dimensions of tensorrH  rH  r4  r2  rJ  zrepeat.<locals>.<lambda>  r  r4  r   rK  c              3   ,   K   | ]  \  }}||z    y wrA  rH  )rD  padded_sizerepeat_sizes      r2  rF  zrepeat.<locals>.<genexpr>  s!      $K 	k!r  r  T)keyreverse)re  r5  r  r  rN  rO  r   r  r  rR  zipr  r  r1  r  r  make_contiguous_strides_forrU  rt  rT  r$  sortrV  
itemgetterr   r   r   )ru  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                  r2  r   r   
  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#&(9#: M= XXn-N KK/M $++M:O ""<00r4  
allow_copyc                   ddl m}m} t        j                  |d      }t        j
                  || j                               } || j                         dk(        r t        | |t        j                  |            S | j                  dk(  r7| }|D ]  }|dk(  sJ t        |d      } || u rt        j                  |       S |S t        |      dk(  rA| }| j                  D ]  }|dk(  sJ t        |d      } || u rt        j                  |       S |S | j!                         rt        |      dk(  r6| j                  dkD  r't#        j                  | | j                         gdg      S t        |      dk(  r4| j                  dk(  r%|d   }|d   }t#        j                  | ||g|dg      S d| |D ]S  }j                  k\  r@|dk(  sJ j                  dz
  }	t        j$                  |	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$                  |      dz   V j                  k  rFt#        j0                  j                     dk(  fd       t              j                  k  rF| u rt        j                  |       S S )Nr   )r?  sym_eqFr-  rK  rP  r  z Cannot view a tensor with shape z and strides z as a tensor with shape rd  c                  .    d d j                       S )Nza.size(z) expected to be 1 but got r  )r  r]  s   r2  rJ  z&_reshape_view_helper.<locals>.<lambda>  s    gcU"=bhhsm_M r4  )rQ  r?  r  re  r5  
infer_sizer  r   r}  r  r   r  r8  rN  rO  r   is_contiguousr  	split_dimr  r   r  rW  r   r  )ru  r  rO  r?  r  _ar  dim0dim1last_dimaccumrh  r  r  r  r  r]  s                  @@r2  _reshape_view_helperr  D  s~   R ,,UUCE UAGGI.E AGGIN+!UE$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 #: &+%@%@S#%N"I{  ==E228	qxxzlZrsxryyz{ o%S#&B  0S&1BAgY,^ -HHSMQM	
 R - 
Qw}}Q	r4  rO  c                      t        | g|ddiS )Nr  Tr  r1  s     r2  r   r     s    ;E;d;;r4  c                 @    | j                  |j                               S rA  )r   r!  r  r  s     r2  r   r     s    <<

%%r4  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 dimensionsrK  z`shifts` requiredz*shifts and dimensions must align. shifts: z, dims: Nr0  )re  r  r  r8  r   r  r   r  rN  r  rX  r  r   r   r  rO  r  r1  rM   r   )ru  r  r(  
len_shiftslen_dimstail_shifts	tail_dimsfirst_dim_rolledr  r!  r  r]  s               r2  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<==r4  r   rK  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   rK  z7expected rotation dims to be different, but got dim0 = z and dim1 = r/  r  r  )
rN  rX  r  re  r  r  r   r   r   r  )ru  r  r(  s      r2  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$q'47KKwwU%<%<w==r4  c                     | d   j                   }t        dt        |             D ]1  }| |   j                   |k(  rJ d| d| |   j                    d|         y )Nr   rK  z4stack expects each tensor to be equal size, but got z at entry 0 and z
 at entry )rO  rV  rN  )r  entry_shaper  s      r2  _check_stack_inputsr     sr    !*""K1c'l# 
qz;. 	
B;- P1:##$Jqc3	
.
r4  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$stack expects a non-empty TensorListrK  )rN  re  r  r  r  r$  rO  insertr  r   r  r   )r  r  wrapped_dimresult_sizesr  r   s         r2  r   r   )  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  re  r  r)   r  rA   r   r   r   )ru  r  r  r  r  r  a_expa_maxs           r2  ro   ro   ;  s     #AGGL33LA	 $5	6BwwyA~BRd+BJ"E3uc489< r4  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 TensorListrH  rH  r4  r2  rJ  zhstack.<locals>.<lambda>Q  r  r4  rK  )r  r  rN  r   r  r   r  s     r2  r   r   O  sQ    	LLW!#RS '*Oq!#?A&&""r4  c                 p    t        j                  t        |       dkD  d        t        |  }t	        |d      S )Nr   c                       y)Nz%vstack expects a non-empty TensorListrH  rH  r4  r2  rJ  zvstack.<locals>.<lambda>[  r  r4  )r  r  rN  r   r   r  s     r2  r  r  Y  r  r4  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-emptyrH  rH  r4  r2  rJ  zunflatten.<locals>.<lambda>c  r  r4  rK  )	re  r  r  r  r  rN  r  rR  rO  )ru  r  r&  s      r2  r  r  a  so    

 
 
-C	LLUq"NO66%&u5aggcAgi>P8QQRRr4  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   r>  c                       y)Nz5Dimension specified as 0 but tensor has no dimensionsrH  rH  r4  r2  rJ  zunbind.<locals>.<lambda>n  r  r4  rH  c              3   J   K   | ]  }t        j                  |        y wrA  )r  r   )rD  sr  s     r2  rF  zunbind.<locals>.<genexpr>s  s!      
&'EMM!S!
s    #)rQ  r?  re  r  r  r  _check_indexrN  rO  rR  r   )r   r  r?  s    ` r2  r	  r	  g  s    J

 
 
-C	AGGqG AGGCLA-. 
+0+=+=as+S
 
 	
r4  r  r  c                 d    | j                  t        j                        j                  |||      S r  )r   r  r  rL   )rE  r  r  r  s       r2  rK   rK   x  s-    77!8!879EEUF r4  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 )NrK  c                  $    d j                    dS Nz(Index should have dimension 1 or 0 (got r  rf  r  s   r2  rJ  zindex_copy_.<locals>.<lambda>      :5::,aH r4  r   )re  r  r  r  r  r   slice)rE  r  r  r  rf  r]  s     `   r2  rL   rL     ss    

!
!!&&#
.C	LL

aH
 &&A+A1A;.3
%
)CAcFHr4  c                 "    t        | |||d      S )NFinplace_index_fillrE  r  r  r  s       r2  rN   rN     s    
 q#ueU;;r4  c                 "    t        | |||d      S )NTr  r  r  s       r2  rO   rO     s     q#ueT::r4  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 )NrK  c                  $    d j                    dS r  rf  r  s   r2  rJ  z_index_fill.<locals>.<lambda>  r  r4  r   c                  $    d j                    dS )Nz<Only supports 0-dimensional value tensor. Got a tensor with r  rf  r  s   r2  rJ  z_index_fill.<locals>.<lambda>  s     !!&L: r4  )r  r  r1  )r  r  r  r8  r%   r!  r  r  r1  r   r$  rO  r  r   r7  rL   rK   r   r   r  r  copy_)rE  r  r  r  r  zero_dimrf  rO  rK   r  new_outs     ``       r2  r  r    s8    
LL

aH %$JJ!O:	
 ##!((

 vv{H"AAMEE#JLLE'.##E4D4DJ
QUE
*C++a.&&(C::<188:%&&q)GMM#C
r4  c                h    | j                  t        j                        j                  ||||      S )Nr  r;  )r   r  r  
index_add_)rE  r  r  r  r<  s        r2  rJ   rJ     s7     77!8!879DDUF% E  r4  c                    t        j                  | j                  |      }t        j                  j                  dk  fd       j                  dk(  rj                  d      | j                  dk(  r5t        j                  |       j                  d| j                              S t        d       f|z  fz   }| |   S )NrK  c                  $    d j                    dS r  rf  r  s   r2  rJ  zindex_select.<locals>.<lambda>  r  r4  r   )
re  r  r  r  r  r   r  rK   r   r  )rE  r  r  r]  s     ` r2  rM   rM     s     
!
!!&&#
.C	LL

aH zzQ"vv{ "--aE8JKK;.3
%
)CS6Mr4  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   r>  c              3   2   K   | ]  \  }}|d k(  s|  ywr3  rH  )rD  r]  r!  s      r2  rF  zsqueeze.<locals>.<genexpr>  s     JYS$	SJs   r  c              3   T   K   | ]  } j                   |   d k(        s| ! ywr3  r  )rD  dru  r?  s     r2  rF  zsqueeze.<locals>.<genexpr>  s%     Jq$8q$IJs   ((rK  T)r{  )rQ  r?  rR  rU  rO  r  r   r8  r  re  r  r8  r   rN  r$  r  )ru  r  r(  r  	dims_listr  r?  s   `     @r2  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Hr4  indices_or_sectionsc           	         t        j                  | j                  |      }| j                  dk(  rd}t        |      t	        |t
              rl|j                  j                  dk(  sd|j                   }t        |      |j                  t        j                  k7  rd}d|j                    t        |      t	        |t              st	        |t
              r|j                  dk(  rt	        |t              r|n|j                         }|dk  rd| }t        |      g }| j                  |   }t        j                   ||z        }||z  }	d}
t#        |      D ]@  }||	k  r|dz   n|}t%        j&                  | |
|
|z   |	      }|j)                  |       |
|z   }
B t+        |      S |}t	        |t
              r<|j                  dk7  rd
}d|j                   d t        |      |j-                         }g }d}
|D ],  }|j)                  t%        j&                  | |
||	             |}
. |j)                  t%        j&                  | |
| j                  |   |	             t+        |      S )Nr   zXtensor_split: received a rank zero tensor, but expected a tensor of rank one or greater!r]  z\tensor_split: if indices_or_sections is a tensor it must be on the CPU, but received one on zJtensor_split: if indices_or_sections is a tensor it must have long dtype, z but received one with dtype zAtensor_split: number of sections must be greater than 0, but was rK  r  zStensor_split: non-scalar indices_or_sections tensors must have only one dimension, zbut received a tensor with r  )re  r  r  rW  r8  r%   r1  r/  r  r  longr   r   r   rO  r  rG   rV  r  r  r  rR  tolist)ru  r  r  _dimr  sectionssplitsr  min_split_sizenum_splits_one_extra	start_idx	split_idx
split_sizer  indicesrE  s                   r2  r   r   
  s|   
 !!!&&#.Dvv{ho %z2"))..%7'':'A'A&BD  S/!$$

2^C+,?,E,E+FGS/! %w/&
38K8P8PTU8U -v6  $))+ 	 q=UV^U_`CS/!774=Hx$78'(2	x 	/I  44 "# 
 ""1iZ1GdSAMM!!J.I	/ V} &):6"''1,k-.A.F.F-G{S o%)002G	 	AMM%,,Q	14HII	 	e((Iqwwt}4PQV}r4  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 )NrK  c                  :    dt         j                        z   dz   S )NzPtorch.hsplit requires a tensor with at least 1 dimension, but got a tensor with  dimensions!rh  r  rt  s   r2  rJ  zhsplit.<locals>.<lambda>Y  #    ^!&&k r4  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 rd  r  )ru  r  r  s   r2  rJ  zhsplit.<locals>.<lambda>d  sX    Bc(45 aggcl#$ 9	9
 j/"  r4  c                       dt                S )Nzhsplit(): received an invalid combination of arguments. Expected indices_or_sections to be of type int, list of ints or tuple of ints but got type r.  r  s   r2  rJ  zhsplit.<locals>.<lambda>r       !4568 r4  
r  r  r  r8  r   rO  r   _check_typer$  rR  )ru  r  split_sizesr  r  s   `` @@r2  r   r   T  s     
LL	!	
 vv{!C%w/(
1_?
!:a!?	
 Az3//	&u6	
 &K;,,r4  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  rt  s   r2  rJ  zvsplit.<locals>.<lambda>  r  r4  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  rd  r  )ru  r  s   r2  rJ  zvsplit.<locals>.<lambda>  s*    3771:,6, r4  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 r.  r  s   r2  rJ  zvsplit.<locals>.<lambda>  r  r4  r  )ru  r  r  r  s   `` @r2  r  r  ~  s     
LL	!	
 %w/(
1_=j!8A!=
	
 Az1--	&u6	
 &K;**r4  rd  c                     | j                         t        j                  dv fd       dk(  rt        j                  | |      S t        j                  | |      S )N)rK  r  c                      d  dS )Nz'diag(): Supports 1D or 2D tensors. Got DrH  rf  s   r2  rJ  zdiag.<locals>.<lambda>  s    "I$q Q r4  rK  )r  r  r  r   r   )r  rd  r  s     @r2  r   r     sU     88:D	LLQ qyf--""400r4  r  dim2c                     t        j                  |       }|j                  |||      t        j                  j
                  j
                  k(  fd       t               |S )Nc                  <    dj                    d j                    S )NzCexpected src to have a size equal to the diagonal of the input.Got z for a diagonal of shape r  )r   r  s   r2  rJ  z"diagonal_scatter.<locals>.<lambda>  s$     yyk24::,@ r4  )re  clone_preserve_stridesr   r  r  rO  r   )r  r  rd  r  r  r  r   s    `    @r2  r   r     sZ     
&
&u
-C<<d+D	LL

cii	@
 D#Jr4  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
    )r]  rankc                      d  d S Nz(diagonal dimensions cannot be identical r  rH  r  r  s   r2  rJ  zdiagonal.<locals>.<lambda>       HbQUPVW r4  r   )r!  r  r#  )r  re  r  r  r  r#  rT  r  r!  r  rU  r  r   )r  rd  r  r  num_dimsr#  	diag_sizer  r  r&  rs  r  s     ``        r2  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$TYY[1K41aQtTl5JQKEK	LL&t{{}5OTQ4,9NqOGONN4;;=&t)<<=__%_WFM L Ps   G(G(G.G.c                 8   | j                   dz   }t        j                  |      t        j                  |      kD  rc| }t        j                  k7  fd       | j                  d      }|dk7  rt        | j                        }t        j                  |      |d<   t        j                  || j                  | j                  d      }|dkD  r|| fn| |f}t        j                  |d      } |t        j                  |      z  }| j                        j                  d      } t        j                   || j                  t        j"                  	      }	t        j                   |||z   | j                  t        j"                  	      }
|	|
j                  d      k(  }t%        t'        | j                              D cg c]  }|fv r|nd }}|j)                  |      }t        j*                  ||       j-                         S c c}w )
z6
    Reference implementation of torch.diag_embed
    rK  )r   r]  c                      d  d S r  rH  r  s   r2  rJ  zdiag_embed.<locals>.<lambda>
  r  r4  rP  r   Fr  r1  r  r  r1  r  )r  re  r  r  r  r!  r$  rO  r"  r/   r#  r  r1  r   r   r   r  r)  rV  rN  r   mask_tensorr   )r   rd  r  r  r   r  t_shapezpaira_rangeb_rangecondr  
cond_shapes     ``          r2  r   r     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
    rK  rP  c              3   :   K   | ]  }|j                   d      ywr3  r  )rD  r  s     r2  rF  z'_block_diag_iterable.<locals>.<genexpr>7  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   r2  rJ  z&_block_diag_iterable.<locals>.<lambda>@  s"     CuVZZ\N+7 r4  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 rQ  r0  )r1  r  r  s   r2  rJ  z&_block_diag_iterable.<locals>.<lambda>E  s(     $$*8;qcVWY r4  r  r
  )r  r  r"  r   r1  rU  r  r  rO  r#  r  r   )r  r  
tensors_2dncolsr  	col_startrowcolrI  rightr1  r  s    `        @@r2  _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$c                      t        |       S )z
    This is used as an input to PythonRefInfo. `torch.block_diag`
    expects arguments splatted, but `aten.block_diag` expects only
    one argument that is a list of Tensors.
    )r  r  s    r2  r   r   S  s      ((r4  r  c                    | j                   dk  rt        d| j                    d      t        |t              r<|dk(  s| j                  d   |z  dk7  r"t        dd| j                  d    d| d	z         t        | |d      S )
Nr  zPtorch.dsplit requires a tensor with at least 3 dimension, but got a tensor with r  r   r  z3torch.dsplit attempted to split along dimension 2, zbut the size of the dimension r  rd  )r  rX  r8  r   rO  r   )ru  r  s     r2  r   r   ]  s    vvz^_`_e_e^ffrs
 	
 (G$(a-1771:;PTU;UA.qwwqzl:^_g^hhijk
 	
 8Q''r4  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   rK  )r  rX  r  r   rt  s    r2  r   r   j  sS     	vvzEaffXQO
 	
 ??1aaffqj88a88r4  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.rH  rH  r4  r2  rJ  zT.<locals>.<lambda>  s    7 r4  )r  r  r  r   rt  s    r2  r   r   }  s,    	LL	&	
 335Lr4  c                 ,    t        j                  |       S rA  )r  r8  rt  s    r2  r   r     r  r4  r  c                 0   t        j                  | j                  ||f      \  }}| j                  dk  s||k(  rt        j                  j                  |       S t        t        d| j                              }|||<   |||<   t        j                  | |      S )NrK  r   )
re  r  r  r  r   defaultr$  rV  r  r   )ru  r  r  _dim0_dim1r  s         r2  r   r     s    **166D$<@LE5vv{ddlzz!!!$$a()LLL==L))r4  c                 z    t        | j                  | j                         |||      \  }}| j                  ||      S rA  )rt  rO  r  r   )r  r8  r!  r9  rO  rs  s         r2  r   r     s:     .

DKKM9dDNE7 ??5'**r4  c                 d    | j                  |||      j                  t        j                        S r  )r   r   r  r  )r  r8  r!  r9  s       r2  r   r     s2     ;;y$-33-- 4  r4  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  rK  r0  rP  )
r  re  r  r   r  r  rO  r1  rV  r   )funcinitru  r  r  r  r  rgri  r  masked_as              r2  _cumsumprod_commonr0    s     66D

 
 s
+CqyAKKNC@@	C!GA	aggcl188	4B<<?b D4#:>" "~~b!"{{4D)HcC88r4  c                ,    t        t        d| |||      S )Nr   r,  r-  ru  r  r  r  )r0  r   ru  r  r  r  s       r2  r   r     s     3Q!EsSSr4  c                ,    t        t        d| |||      S )NrK  r2  )r0  r   r3  s       r2  r   r     s     4a1#UPSTTr4  c                 ~    | j                   dz   }t        j                  ||      }t        j                  | |f|      S )NrK  rf  )r  re  r  r  expand_dims)ru  r  r  s      r2  r   r     s:     66A:D

 
 s
+CQT22r4  c                      t        | g|ddiS )Nr  Fr  r1  s     r2  r  r    s    <E<e<<r4  c                 @    | j                  |j                               S rA  )r  r!  r  s     r2  r  r    s    99UZZ\""r4  c                     t        | d      S )N)rP  )r   rt  s    r2  r   r     s    1er4  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 indicesrf  )ru  r  s   r2  rJ  z take_along_dim.<locals>.<lambda>  s*    --.VVH4O||n35 r4  c                  $    d j                    dS )Nz?torch.take_along_dim(): dtype of indices should be int but got rP  r  )r  s   r2  rJ  z take_along_dim.<locals>.<lambda>  s    M}}oX' r4  rP  r   )r  r  r  re  r  r  gatherr  r$  rO  r!  infer_size_shapesr   )ru  r  r  
self_sizesbroadcast_shapeindices_broadcastindices_sizesself_broadcasts   ``      r2  r   r     s    
LL	',,	
 
LLw}}-	
 {||AFF2J7<<+;<<!'']
!,,s+
311*gllnM(/BW]]+VVC[c11-J%a9||NC1BCCr4  r  r  r1  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 supportedrH  rH  r4  r2  rJ  zempty.<locals>.<lambda>/  r  r4  c                      d  dS )Nz/torch.empty: received an unknown memory format rd  rH  r  s   r2  rJ  zempty.<locals>.<lambda>;  s    Em_TUV r4  r  r  r1  r  r  )r  r  r  re  r5  r  r}  channels_last_3d!make_channels_last_3d_strides_forchannels_last!make_channels_last_2d_strides_forr  )r  r  r1  r  r  r  rO  rs  s        `  r2  r  r  #  s     
LL...J
 ,,U3E///33E:	%00	099%@U000V	
 99%@# r4  c                 6    t        j                  | ||||      S )Nr	  )r  r  )rO  physical_layoutr  r  r1  r  r  s          r2  r  r  J  s&     # r4  r  r  r1  r  c                    || j                   n|}|| j                  n|}|| j                  n|}t        j                  |||||      S )Nr  r1  r  r  )r  r  r1  r  r  )ru  r!  r  r  r1  r  s         r2  r  r  ]  sQ     }AGG%EQXXVFQXXVF;; r4  c                    || j                   n|}|| j                  n|}|| j                  n|}t        j                  ||||||      S )zD
    Reference implementation of torch.Tensor.new_empty_strided
    rQ  )r  r  r1  r  r  )ru  r!  r  r  r  r1  r  s          r2  r  r  u  sV      }AGG%EQXXVFQXXVF r4  rH  c           	          t        j                  |      }| t        j                         } t        j                  || t        j
                  k(  rdnd| ||||      S NFr   rH  re  r5  r  r  r  r  r  r  r1  r  r  r!  s         r2  r#  r#    sZ     ++D1D}'')::%**$!# r4  c          	          || j                   n|}|| j                  n|}|| j                  n|}t        j                  ||xs | j                   t        j
                  k(  rdnd|||||      S rT  r  r  r1  r  r  r  ru  r!  r  r  r1  r  r  s          r2  r  r    sm     }AGG%EQXXVFQXXVF::"177uzz1q# r4  c           	          t        j                  |      }| t        j                         } t        j                  || t        j
                  k(  rdnd| ||||      S NTrK  rH  rU  rV  s         r2  r  r    sZ     ++D1D}'')::## r4  c          	          || j                   n|}|| j                  n|}|| j                  n|}t        j                  ||xs | j                   t        j
                  k(  rdnd|||||      S r[  rX  rY  s          r2  r  r    sm     }AGG%EQXXVFQXXVF::!!''ejj0a# r4  
fill_valuec                    || j                   n|}|| j                  n|}|| j                  n|}t        j                  ||||||      S )NrO  )r  r  r1  r  r  )ru  r!  r]  r  r  r1  r  s          r2  r  r    sT     }AGG%EQXXVFQXXVF:: r4  )r  r1  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 )NrD  rH  )
r  r  r1  r  r  r  rO  re  3compute_elementwise_output_logical_to_physical_permr  )ru  r  r1  r  r  r  r  logical_to_physical_perms           r2  r  r    s     }AGG%EQXXVFQXXVF---{{GG'!'
 	
 	AA!D  	 # r4  rh  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 nonzerorH  rH  r4  r2  rJ  zarange.<locals>.<lambda>[  r  r4  c                       yNz7upper bound and lower bound inconsistent with step signrH  rH  r4  r2  rJ  zarange.<locals>.<lambda>_  r  r4  c                       yre  rH  rH  r4  r2  rJ  zarange.<locals>.<lambda>d  r  r4  c                 R    t        | t               xs t        j                  |       S rA  )r8  r   r  rP   rI  s    r2  	is_finitezarange.<locals>.is_finiteg  s!    a!566J$--:JJr4  c                      d d  S )Nzunsupported range: z -> rH  )rh  r  s   r2  rJ  zarange.<locals>.<lambda>l  s    %eWD6 r4  c                      d  S )Nzstep must be finite but got rH  rp  s   r2  rJ  zarange.<locals>.<lambda>p  s    .tf5 r4  c              3   <   K   | ]  }t        |t                y wrA  rB  rD  rt  s     r2  rF  zarange.<locals>.<genexpr>t  s     IS
3 8I   )r  r9  r  r1  r  rK  FT)re  check_layoutcheck_pin_memoryr  r1  device_or_defaultr8  r  r  r"  r   r)  r  r  r   r  r  r7   r  iotar  get_acc_typer)   requires_grad_)r  rh  r9  r  r  r1  r  r  rh  rk  integer_args
is_integerxstartxendxstepri   r  r  r  r  s   ```                 r2  r  r  B  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#Mr4  )r  rh  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 )NrH  rV  rK  )r8  r   r  r  r7  r/   r  r   re  "compute_elementwise_output_stridesrl  r  r  copy_stridedr<  )	r  rh  r  r  ri  coeffbaser;  r  s	            r2  rW   rW     s     S\F&&!F+fff%%% ::<3DKKfqj&1E;;tS%(DcEk"T)F557G7PQF}}& ##FF3'77r4  )r  r1  r  r  r  stepsc          
          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(  rRt         t              r(t        j"                  ffd	i|j%                         S t        j                   f fd	i|S t        j&                  dfi |}	t        j(                        st        j*                        rt        j,                  n}
t        j.                  |	t0        j2                  |
      \  }}t5        t
        |      } z
  d
z
  z  }t        j6                  |	dz  k   | ||	      z  z   | |d
z
  |	z
        z  z
        }t        |      S )Nr   c                       yNz:linspace only supports 0-dimensional start and end tensorsrH  rH  r4  r2  rJ  zlinspace.<locals>.<lambda>  r  r4  c                       yr  rH  rH  r4  r2  rJ  zlinspace.<locals>.<lambda>  r  r4  c              3   <   K   | ]  }t        |t                y wrA  r8  r  rl  s     r2  rF  zlinspace.<locals>.<genexpr>       LJsG,Lrm  c                      d  d S )Nzlinspace(): inferred dtype z& can't be safely cast to passed dtype rH  )default_complex_dtyper  s   r2  rJ  zlinspace.<locals>.<lambda>  s    56K5LLrsxryz r4  c                      dt              j                   dt               j                   dt              j                   dS )Nz4received an invalid combination of arguments - got (r  r  )r/  r}  )rh  r  r~  s   r2  rJ  zlinspace.<locals>.<lambda>  sD     u+r$s),,-RU0D0D/EQH r4  c                       y)Nz$number of steps must be non-negativerH  rH  r4  r2  rJ  zlinspace.<locals>.<lambda>  r  r4  )r  r1  r  r  r  rK  r  r  )r  r   )r8  r&   r  r  r  r)   rZ  r"  r   re  r%  r  r  r  r  r   r  r  r  r  r  r  r)  r  r"   r*  r   r   )r  rh  r~  r  r1  r  r  r  factory_kwargsr.  	dtype_redr  r  cast_rgr9  r  r  s   ````            @r2  r  r    s    %(IIK1P	
 (u}}=#~&GGINP	
 &c5==9||LU8KLL % A A##%!
 =)ELL&&u-z
 2002eU[[))) 
5'"	H
 eW%%%	LL!KL  &	N zzzAA.AAze^,;;xGuGGMMeTT::uhMUMnMM 
a	1.	1B
 ""5)U-C-CE-J 	 
 !11
&++Yq -5FGG %KEAI&D
++
UQYwr{""dWeai2-...C
 #3..r4  r}  c          
      V   |t        j                         }t        j                  j	                  |      rt        | t              rt        |       } nDt        | t              r4t        j                  | j                         dk(  d        t        | |      } t        |t              rt        |      }nDt        |t              r4t        j                  |j                         dk(  d        t        ||      }t        j                  d | ||fD              r,t        j                  t        j                               }	|	}d }
nt         j                  }
t        |t               rJ |dk  rt"        t        j$                  | |||
||||      }t        t        j&                  ||      |      S )Nr   c                       yNz:logspace only supports 0-dimensional start and end tensorsrH  rH  r4  r2  rJ  zlogspace.<locals>.<lambda>7  r  r4  c                       yr  rH  rH  r4  r2  rJ  zlogspace.<locals>.<lambda>?  r  r4  c              3   <   K   | ]  }t        |t                y wrA  r  rl  s     r2  rF  zlogspace.<locals>.<genexpr>C  r  rm  rH  )r  r  r  re  r  r8  r   r   r&   r  r  r)   r"  r   r%  rZ  r  r  r  r   )r  rh  r~  r}  r  r1  r  r  r  r  _dtyperets               r2  r  r    sb    }'') {{##E*eY'ENE~.LL		q T ,E59Ec9%#,C^,LL	QT *#u5C||LU8KLL % A A##%!
 &$(((ax!!
..#	C #599T3#7??r4  indexingc                      y rA  rH  )r  r  s     r2  r   r   \      r4  c                      y rA  rH  )r  r  s     r2  r   r   a  r  r4  c                     t        |d   t        t        f      rt        |      dk(  sJ t        |d         }t	        j
                  t        j                  d |D              d        t	        j
                  t        |      dkD  d        t        t        |      dz
        D ]p  }t	        j
                  ||   j                  ||dz      j                  k(  d        t	        j
                  ||   j                  ||dz      j                  k(  d        r d} d	k(  r!t        |      d
k\  }|r-|d   |d   g|d
d  }nt	        j
                   dk(   fd       g }|D ]j  t        t              sJ t	        j
                  j                  dk(  xs j                  dk(  fd       |j                  j                                l g }t        |      D ]^  \  }t        t              sJ j                  dk(  rj!                  d      |j                  t#        j$                  ||f             ` |r|d   |d   c|d<   |d<   |S )Nr   rK  c              3   <   K   | ]  }t        |t                y wrA  r8  r%   rw  s     r2  rF  zmeshgrid.<locals>.<genexpr>s  s     @1Z:.@rm  c                       y)Nz)meshgrid expects its inputs to be tensorsrH  rH  r4  r2  rJ  zmeshgrid.<locals>.<lambda>t  r  r4  c                       y)Nz'meshgrid expects a non-empty TensorListrH  rH  r4  r2  rJ  zmeshgrid.<locals>.<lambda>w  r  r4  c                       y)Nz3meshgrid expects all tensors to have the same dtyperH  rH  r4  r2  rJ  zmeshgrid.<locals>.<lambda>|  r  r4  c                       y)Nz4meshgrid expects all tensors to have the same devicerH  rH  r4  r2  rJ  zmeshgrid.<locals>.<lambda>  r  r4  Fxyr  ijc                      d  S )NzDtorch.meshgrid: indexing must be one of "xy" or "ij", but received: rH  )r  s   r2  rJ  zmeshgrid.<locals>.<lambda>  s    !!)
, r4  c                      d  S )NzEtorch.meshgrid: Expected 0D or 1D tensor in the tensor list but got: rH  )r   s   r2  rJ  zmeshgrid.<locals>.<lambda>  s    [\][^_ r4  r  )r8  r$  rR  rN  r  r  r"  r   rV  r  r1  r%   r  r  r  rU  r  r  r  )r  r  r  swap_first_and_second_tensorsresult_shapegridsr   s   `     @r2  r   r   f  s6    '!*tUm,7|q   
#	LL@@@;
 
LLW!#TU3w<!#$ 
AJA 4 44I	
 	AJQ!6!66J	

 %*!4(+G(9%(qz71:<<G	
 !L '!Z(((FFaK&166Q;_	
 	AGGI&' #%E'" D1!Z(((66Q;tAU++A|aTBC	D %"1XuQxa%(Lr4  sourcedestinationc                 V   t              t        u rft              t        u rft        j                  t	              t	              k(  fd       | j
                  }t        t        j                  |            }t        t        j                  |            }t        |      }t        |      }t        j                  t	        |      t	        |      k(  fd       t        j                  t	        |      t	        |      k(  fd       t        t        ||            }g }	d}
t        |      D ]K  }|j                  |      }||	j                  |       (|
|v r
|
dz  }
|
|v r
|	j                  |
       |
dz  }
M t        j                  | t        |	            }|S )z3
    Reference implementation of torch.movedim
    c                  :    dt               dt                dS )Nz5movedim: Invalid source or destination dims: source (z> dims) should contain the same number of dims as destination (z dims)r$  )r  r  s   r2  rJ  zmovedim.<locals>.<lambda>  s.    V~ ''+K'8&9A r4  )r   r  c                  "    dt                dS )Nz#movedim: repeated dim in `source` (r  r  )r  s   r2  rJ  zmovedim.<locals>.<lambda>  s    5d6l^1E r4  c                  "    dt                dS )Nz(movedim: repeated dim in `destination` (r  r  )r  s   r2  rJ  zmovedim.<locals>.<lambda>  s    :4;L:MQO r4  r   rK  )r/  rr  r  r  rN  r  rR  re  r  setdictr|  rV  r  r  r   )r  r  r  r   ssdssssdssr_  r(  sidir  r  s    ``           r2  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Mr4  )r  r1  r  r  r  rs  c                   t        j                  |       t        j                  |       t        j                  |       } |t	        j
                         n|}|t	        j                  d      n|}t        j                  | ||||      S )Nr]  r	  )	re  rn  ro  r5  r  r  r1  r  r  )rO  rs  r  r1  r  r  r  s          r2  r  r    sz     
v	:&,,U3E).E##%EE$*NU\\% F# r4  nr_  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 rH  )r  s   r2  rJ  zeye.<locals>.<lambda>      #H!L r4  c                      d  S )Nz%m must be greater or equal to 0, got rH  )r_  s   r2  rJ  zeye.<locals>.<lambda>  r  r4  Fr	  rP  r  rH  )r  r  r  r)  r   r  r  r   )r  r_  r  r  r1  r  r  range_nrange_mr  ones   ``         r2  r  r    s     	y	LLaLM	LLaLMll1EKKeTGll1EKKeTGR G+D

jj!
 {{4a((r4  c                   t        j                  |       t        j                  |       ||nt        j                  t	        |            }||nt        j                  d      }t        | |||||      }t        j                  ||      S )Nr]  rH  )	re  rn  ro  type_to_dtyper/  r  r1  r  rE   )rO  r]  r  r  r1  r  r  es           r2  r  r  /  s     
v	:&&EE,?,?Z@P,QE)Vu||E/BF#	A ::a$$r4  r  r  r1  r  r  r  c          	      R    t        j                  | ||||||      }t        ||      S )Nr  )r  r  rE   )	ru  r]  r  r  r1  r  r  r  r  s	            r2  r  r  L  s8     		##	A :r4  c          
          t        j                  | |xs | j                  t         j                  k(  rdnd||||||      S )NFr   r  r  r  r  r  ru  r  r  r1  r  r  r  s          r2  r$  r$  c  sC     ??	"177uzz1q##	 	r4  c          
          t        j                  | |xs | j                  t         j                  k(  rdnd||||||      S )NTrK  r  r  r  s          r2  r  r  {  sC     ??	!!''ejj0a##	 	r4  c                     t        j                  |       t        j                  |      }t        j                  |       } t        j                  |      }t        j                  |dd| ||      S )Nr  rU  )r   r   r  r1  r  )re  ro  r5  dtype_or_defaultrp  r  ra   )r  r1  r  r  r  rO  r  s          r2  r   r     se     
:&--e4F""5)E$$V,F<<# r4  c                    t        j                  |       t        j                  |       ||nt        j                  t	        |             }||nt        j                  d      }t        j                  | ||      S )Nr]  rL  )	re  rn  ro  r  r/  r  r1  r  r!  )ru  r  r  r1  r  s        r2  r!  r!    se     
v	:&&EE,?,?Q,HE)Vu||E/BFqf==r4  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  r1  )
re  r  r8  r   r   r  r  canonicalize_devicer  _uniform_helper)rO  r  r  r  r1  s        r2  r  r    s     
c6"""dF###
C.CT?DeU[[)))&&v.F  Cd%PVWWr4  ri  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
 dimensionrH  )
value_ndims   r2  rJ  zmasked_fill.<locals>.<lambda>  s    VWaVbblm r4  cudaxpur-  r]  c                       y)Nz,Expected `value` to be on same device as `a`rH  rH  r4  r2  rJ  zmasked_fill.<locals>.<lambda>  r  r4  c                      d  dS )Nzcould not convert to type z without overflowrH  )r  s   r2  rJ  zmasked_fill.<locals>.<lambda>  s    0=NO r4  )re  r   r  r8  r   r/  r  r  r  r1  _C_get_privateuse1_backend_namer  r   r)   r   r   )ru  ri  r  
value_typeis_cpu_scalarr  r  r  s         @@r2  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 <<>r4  c                 V    t        j                  | ||      }| j                  |       | S rA  )r  r   r  )ru  ri  r  r,  s       r2  r   r     s(     	!T5)AGGAJHr4  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   )ru  r,  r  r  r  s        r2  r%  r%    sH     +qADtL		%--14diPQVVX r4  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)
re  r  check_same_dtyper  r|  rO  r  r   r   r   )ru  r,  rE  rf  s       r2  r&  r&     s    	Aq5A	1a  	vvAGGQWW% 16
 	wwyA~Bq!Hr4  )exact_dtyper  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  )r8  r   rN  rh  rR  rV  r  r  r  matrix_normr  )r  r  r  r  r  s        r2  r`   r`   3  s     	
U
z#s';s3x1}	
#se!S ;ejj)*C||''q#we'LL||''q#we'LLr4  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}rH  rH  r4  r2  rJ  ztrace.<locals>.<lambda>R  r  r4  r   )r  r  r  r   r   r  s    r2  rt   rt   N  s:     
LL		QX 99UZZa())r4  c                 l     dt         t        t        f   dt         t        t        f   dt        f fd}|S )Nru  r,  rp  c                      ||       S rA  rH  )ru  r,  base_ops     r2  ropz_make_r_binary_op.<locals>.ropX  s     q!}r4  )r   r&   r    )r  r  s   ` r2  _make_r_binary_opr  W  s=    +,+, 
 Jr4  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 dimensionsrH  rH  r4  r2  rJ  ztriu.<locals>.<lambda>j  r  r4  rO  r0  rP  
r  r  r  rO  r  r1  r   re  r  r   ru  r   hwri  s        r2  r
  r
  f       
LL	!Q 7723<DAqQqxx(2226
,,q
*
4
4R
8	9	D T1%0022r4  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 dimensionsrH  rH  r4  r2  rJ  ztril.<locals>.<lambda>{  r  r4  rO  r0  rP  r  r  s        r2  r  r  w  r  r4  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   rK  r  )r  rr  rT  )
r  r  rd  m_first_row
m_last_row	n_row_alln_row_trapezoidtrapezoid_sizediff_rowrectangle_sizes
             r2  _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6r4  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 rH  )r  s   r2  rJ  z_trilu_checks.<locals>.<lambda>      %CC5#I r4  c                      d  S )Nzcol must be non-negative, got rH  )r  s   r2  rJ  z_trilu_checks.<locals>.<lambda>  r  r4  c                      d d  dS )Nr0  z" not implemented for ''rH  )r  r  s   r2  rJ  z_trilu_checks.<locals>.<lambda>  s    "TF25'; r4  )r  r  r  r)  )r  r  r  r  r  r  s   ````  r2  _trilu_checksr    sO     
LLIJ	LLIJ	LL%++u{{++;r4  r]  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  r1  r  r  rV  r  rK  )r  r  rT  r   r  r  rZ  rG   rp   r)   r   r   )r  r  rd  r  r  r1  r  r  r  r  
row_offset	arange_kwxs1r,  	row_inds1	col_inds1xs2	row_inds2	col_inds2s                      r2  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 r4  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  rK  )rT  r  r  )
r  r  rd  r  r  trapezoid_size_trilrectangle_size_trilr  	triu_sizer  s
             r2  _get_triu_sizesr    s    
ax3!8*01*#av&#K CfW-34N 3B#sFUVJ2W/,ac	03FFGI/N>;66r4  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  rK  rV  )r  r  rT  r   r  r  rZ  rG   rp   r)   r   r   )r  r  rd  r  r  r1  r  r  r  r  
col_offsetr  r
  r  r  r  r,  r  r	  s                      r2  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 r4  )	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 )NrK  c                  ,    d j                          dS )Nz2boundaries tensor must be 1 dimension but got dim(r  r
  )r  s   r2  rJ  zbucketize.<locals>.<lambda>"  s    DZ^^EUDVVWX r4  rP  r   r  r  r  )r  r  r  r8  r7  r  r  r)  rO  r$  r#  r1  r   r  r  rr  r  r[   rV  r   )ru  r  r  r  	out_dtypen_boundariesr  rh  midmid_valcond_midcond_updatenitersr  s    `            r2  r'  r'    s    
LLAX
 5<<(ell1oA(ekkI##B'Lq""
 KKDE
,
C 3;1$
$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$$r4  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   r2  rJ  zcauchy.<locals>.<lambda>_       ::>**G r4  r  c                      d  S )Nz-cauchy_ expects sigma > 0.0, but found sigma=rH  )sigmas   r2  rJ  zcauchy.<locals>.<lambda>d  s    ?wG r4  rV  )r  r  re  r  r  r  r  rr   r  r  	rand_like)r  medianr#  	generators   ` ` r2  r  r  S  s     	LL""4::.. 	3&&tzz22	3&&tzz22	G	 
LLG EEIIdgg1F1L&MNNNNr4  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   r2  rJ  zexponential.<locals>.<lambda>u  r!  r4  r  c                      d  S )Nz4exponential_ expects lambda > 0.0, but found lambda=rH  )rates   r2  rJ  zexponential.<locals>.<lambda>z  s    FtfM r4  r  rU  rP  )r  r  re  r  r  r  r  r$  r  r  r   rY   )r  r*  r&  uniform_valepsilonr  log_uniforms   ``     r2  rC   rC   i  s     	LL""4::.. 	3&&tzz22	3&&tzz22	G	 
LLs
M
 //$'K kk+++,0014GsW},I++i'599[3IJK9{""r4  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   r2  rJ  zgeometric.<locals>.<lambda>  s    0= r4  r   rK  c                      d  S )Nz0geometric_ expects p to be in (0, 1), but got p=rH  )r  s   r2  rJ  zgeometric.<locals>.<lambda>  s    B1#F r4  )
r  r  re  r  r  r  rG   rZ   r$  r  )r  r  r&  s   `` r2  rI   rI     s     	LL""4::.. 	3&&tzz22=
 
LL	A!a%F ;;u{{EOOD$9#9:TZZ^KLqPPr4  c                     |J t        j                  t        j                   j                         xrB t        j
                   j                         xr  t        j                   j                          fd       t        j                  dk  fd       t        j                  t        j                         z  |z         S )Nc                  "    d j                    S )Nzlog_normal not implemented for r  r  s   r2  rJ  zlog_normal.<locals>.<lambda>  s    1$**> r4  r   c                      d  S )Nz-log_normal_ expects std > 0.0, but found std=rH  r   s   r2  rJ  zlog_normal.<locals>.<lambda>  s    ?uE r4  )	r  r  re  r  r  r  r  rA   
randn_liker  r   r   r&  s   ` ` r2  r]   r]     s     	LL""4::.. 	3&&tzz22	3&&tzz22>	 
LL	CE 99S5++D11D899r4  )r   r   )r&  r  r  r1  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 rH  r4  s   r2  rJ  znormal.<locals>.<lambda>  s     I#O r4  c              3   B   K   | ]  }t        |t              s|  y wrA  r  rb  s     r2  rF  znormal.<locals>.<genexpr>  s     La*Q
2KLs   c                       y)NzFnormal expects that either mean or std is a tensor, or size is definedrH  rH  r4  r2  rJ  znormal.<locals>.<lambda>  r  r4  c                       y)Nz.Cannot pass layout, or pin_memory without sizerH  rH  r4  r2  rJ  znormal.<locals>.<lambda>  r  r4  c              3   4   K   | ]  }|j                     y wrA  r  rb  s     r2  rF  znormal.<locals>.<genexpr>  s     "<q177"<r  c                       y)Nz>normal expects mean and std to be scalars when size is definedrH  rH  r4  r2  rJ  znormal.<locals>.<lambda>  r  r4  r]  r  rU  F)r   r   r  r1  r  r&  )r  stridedr8  r%   r  rR  rN  r^  r  r1  r  r  ra   )
r   r   r!  r&  r  r  r1  r  r  normal_sampless
    `        r2  ra   ra     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 $&&r4  )r&  c                6    t        ||| j                  | |      S )N)r  r&  )ra   rO  r6  s       r2  normal_rA    s    $TZZTYGGr4  c                 z    t        j                  t        j                  | j                         d        d}| |z  S )Nc                       y)Nz-rad2deg is not supported for complex tensors.rH  rH  r4  r2  rJ  zrad2deg.<locals>.<lambda>  r  r4  gcܥL@r  r  re  r  r  )r  M_180_PIs     r2  re   re     s8    	LL""4::..? CH(?r4  c                 z    t        j                  t        j                  | j                         d        d}| |z  S )Nc                       y)Nz-deg2rad is not supported for complex tensors.rH  rH  r4  r2  rJ  zdeg2rad.<locals>.<lambda>  r  r4  g9RFߑ?rD  )r  M_PI_180s     r2  r<   r<     s8    	LL""4::..? EH(?r4  c                 *    | dk7  j                  |      S r  )r   )r  r  s     r2  r;   r;     s     AI??3r4  c                      t        j                   j                         dk(  xr j                         dk(   fd        fd}t        j                   j                         j                         k(  |       y )NrK  c                  N    dj                          d j                          dS )Nz1D tensors expected, but got zD and z	D tensorsr
  r  r  s   r2  rJ  z_dot_check.<locals>.<lambda>  s#    /
|6%))+iX r4  c            	          dj                          d j                          dj                          d j                          d	S )Nz+inconsistent tensor size, expected tensor [z] and src [z.] to have thesame number of elements, but got r  z elements respectively)r  rL  s   r2  numel_errorz_dot_check.<locals>.numel_error  sL    9$**,{SXS^S^S`Ra b004

~U5;;=/Qgi	
r4  )r  r  r  r  )r  r  rN  s   `` r2  
_dot_checkrO    sU    	LL
a,EIIK1,X

 
LL.<r4  r  c                    | j                         r| j                         rt|j                         r@t        j                  | j	                         |j	                               j	                         S t        j
                  | j	                         |      S |j                         r$t        j
                  |j	                         |       S t        | |       | |z  j                         S rA  )r(  is_conjr  r   r   r   rO  r   r  s     r2  r   r   !  s     <<>}}yyejjl;@@BBzz$))+u55]]_::ejjlD11tU5Lr4  c                    | j                         st        j                  | |      S | j                         rf|j                         r2t        j                  |j                         | j                               S t        j                  | j                         |      S |j                         r2t        j                  | |j                               j                         S t        | |       | j                         |z  j                         S rA  )	r(  r  r   rQ  r   r   rO  r8   r   r  s     r2  r   r   5  s     ??yyu%%||~==?::ejjlDIIK8899TYY[%00	yyuzz|,1133tU 5(--//r4  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 )NrK  rP  r   r0  )re  r  r  rO  r  r  r1  r  r   r   r   )rE  r  r  r  
mask_shaperi  s         r2  select_scatterrU  L  s     
 
 
-CqvvJJsOqy$<<QXX6;;JG5PD
//#s
#
*
*177
3C;;tS!$$r4  c                 V    t        | t        j                  t        j                  f      S rA  )r8  r  TypedStorageUntypedStorage)objs    r2  
_isStoragerZ    s     cE..0D0DEFFr4  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        $ r# t        dt        |       j                   d      w xY w)N   ztoo many dimensions 'r  r   z.could not determine the shape of object type ')rZ  r8  r$  rR  rN  itemsizer  rW  r/  r}  r  )seqscalar_typeMAX_DIMS
is_storager&  r  handles          r2  _compute_sizesrc    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$              r"t'        dt)        |       j*                   d      t        | t,        t.        f      rzd }t1        |       }|dk(  rt        j                         S t3        |      D ]D  }| |   }	 t5        |      }|t        j6                  ||      }n|}|t        j                  u sB|c S  |S t        dt)        |       j*                         )Nz'invalid default scalar type for complexznew(): invalid data type 'r  r   zCould not infer dtype of )r8  r   r  r  r   r  r)  r   r  r  cfloatdoublecdoublehalfchalfrX  r7  r  rh  	TypeErrorr/  r}  r$  rR  rN  rV  _infer_scalar_typepromote_types)rY  default_dtype
scalarTyper  r  cur_itemitem_scalarTypes          r2  rk  rk    s   #y!&&((#w
3(={{#x zz#w//1EKK'<<ell*== ejj(;;HII#u||$yy#s4T#Y5G5G4HJKK#e}%
S Q;**,,v 	"A1vH 1:O%"00_M
,
U]]* "!	"  
2493E3E2FG
HHr4  rn  rY  c           	         t        |t              rD|j                         dk(  r1|j                         j	                  | dd      j                  d      S t        |t              r"|j                         j	                  | dd      S t        |t              rt        j                  ||       S |}t        j                  |D cg c]  }t        | |       c}      S c c}w )NrK  r]  T)r  r1  r  rH  r  )r8  r7  r  detachr   r  r   r  r!  r   _recursive_build)rn  rY  r^  r   s       r2  rs  rs    s     #v399;!#3zz|ZDINNrRR	C	  zz|ZDII	C	 ""3j99 C;;sKt(T:KLLKs   Cc                    t        |t        j                        rat        j                  | d        |}|r|j	                         }|r|j
                  n|}	||n|j                  }
|j                  |
|	d|      S t        |d      rt        S ||n| d   }
|rt        |      n|}	t        |      rt        S t        j                  |
      j                  dk(  rt        S t        |	|      }|j                  |
|	dd      }|S )Nc                       y)Nz,Can't pin tensor constructed from a variablerH  rH  r4  r2  rJ  z)_internal_new_from_data.<locals>.<lambda><  r  r4  F)r1  r  r  r  __cuda_array_interface__r1  meta)r  r  )r8  r  r7  r  rr  r  r1  r   hasattrNotImplementedrk  rZ  r/  rs  )optionsr_  
device_optdatacopy_variables
copy_numpytype_inferencer  r   inferred_scalar_typer1  r  s               r2  _internal_new_from_datar  0  s    $%NR	
 **,C,:syy)53::vv&	  
 	
 t/0 &1Zwx7HF7E-d3; $<<$$.!! ""6=6#7eRWX Mr4  )r  r1  r  r  c          
         t        | t        j                        rt        j                  d       |d u }t        ddi||nt        j                         || dd||      }|j                          |r|j                  |       |S )NzTo copy construct from a tensor, it is recommended to use sourceTensor.clone().detach() or sourceTensor.clone().detach().requires_grad_(True), rather than torch.tensor(sourceTensor)r1  r]  T)r}  r~  r  r  )	r8  r  r7  r]  r^  r  r  detach_rs  )r|  r  r1  r  r  r  
new_tensors          r2  r  r  i  s    $%l	
 d]N( 
5"(?(?(A%J !!-0r4  rA  )F)r  NN)gh㈵>g:0yE>Fr  )NN)NNNNNFF)FFN)NF)NNFr  )r   rP  )NNNTreflectFNN)NNNTFNNF)rH  )rK  r  )r   r   rK  )r   rO  rP  )r   NrK  )r   )r  rU  )r  NF)r   rK  Nr3  )rK  r  N(  r"  rx  r  r=  r  rV  r]  collections.abcr   enumr   	functoolsr   r   r   r   typingr	   r
   r   r   r   r   r   r   r   r  torch._prims_primsr  torch._prims_common_prims_commonre  torch.utils._pytree_pytreer  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r    r!   r"   r#   r$   r%   r&   r'   r(   torch._prims_common.wrappersr)   r*   r+   r,   r-   r.   r  r7  r  DispatchKey_opsopsr  r3  r<  r^  rl  torch._decomprm  objectr{  r  r  r  rH  r/   INT_TO_FLOATr0   r1   r3   r2   r4   r5   DEFAULTr6   r7   r(  r8   r9   r:   r=   r>   r?   r@   rA   rB   rD   	NO_OPMATHrE   rF   r"  rG   rH   r   ALWAYS_BOOLrP   rQ   rR   rS   rT   specialmultigammalnr_   rU   rV   rX   rY   rZ   r[   r\   rr  r  r^   r   r  rb   r  rc   rd   r   rf   rg   r   rh   ri   rj   rk   rl   rm   rn   rp   BOOL_TO_LONGrq   rr   rs   ru   r  r:  rv   rw   rx   ry   rz   r{   r|   r   r   rh  r   r   r   r   ra  r`  r   r   r   ru  r   r   r   r   r   r   r   r  r  r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r   r}   r~   r   r   r  r  r   r   r  r  r  registerr1  r  r  r  r  r  r  r   r  r   r   r   r   dim_IntListIntList_outr   r   r   r   rC  r   r   r   r   r   r   r   r~  r   r   r   r   r   r   r&  py_implCompositeImplicitAutogradMetar   r   r   r   r   r  r   r   r   r   r   r   r   r   r   r   r  r  r   r   r   r)  r*  r&  r+  rt  r   r  r   r   r   r   r  r   ro   r   r  r  r	  rK   rL   rN   rO   r  rJ   rM   r   r(  r   r   r  r   r  r   r   r   r   r  r   r   r   r   r   r   r   r   r0  r   r   r   r  r  r   r   r>  r  r  r  r  r#  r  r  r  r  r  r  
start_step	start_outrW   r  r  r   r   r  r  r  r  r$  r  r   r!  r  r   r   r%  r&  r`   rt   r  r   r   r   r
  r  r  r  r  r  r  r  r'  r  rC   rI   r]   ra   rA  re   r<   r;   rO  r   r   rU  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  rZ  rc  rk  rs  r  r  torch._refs._conversionstorch._refs.ffttorch._refs.linalgtorch._refs.nn.functionaltorch._refs.specialrH  r4  r2  <module>r	     s+O          $  < < X X X   # $ $ $     . gR	 
hh""zz~~2%P 9= C8 1  	
 B 2 ##B#S#ST U ##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  ##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 >  		"# #> #  ## ##B#J#JK L ##B#J#JK!N !~ ! L!N ~  ##//* *> *	* ##B#N#NO1^ 1 1 P1 ##B#N#NO1 1> 1 P1 ##B#N#NO1 1> 1 P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#J#JK L ##B#J#JK L ##B#N#NO P ##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 ##B#J#JK L
!. !^ !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* 		" #/
 //	(	/ / / #/d &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 01~ 1# 1C 1 1$ 		"N "2 ~   #n  n  BBB(-c>.A(BBLOBB:").
666!"<> tCy ^  ..66711V1 6
1 	1
 1 1 1 
1 666!"1 81h ../VVV$AAA VA 6
	A
 
A 666!"A % 0AL %,~ , , &, $#.#.,#.36#.AO#.#.  %#.N +??@ !% $##%)g?g?g? g? 	g?
 Vg? g? g? g? tng? TNg? g? Ag?V 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'(	+ +\  	  	   ))*J S    +" ))*~ HX$6 .  +B FFvx/0F 
F >3	FT&-&-,4&-
>3&-T$+$+,4$+
>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` ^$` ` ` `  I`F 		"#27??8 8V 8U6:3E-F 8	  #82 & $('+ ==T/^+,T/	z>)	*T/ T/
 EKK T/ ^$T/ LLT/ T/ T/ T/  'T/n &
 	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\\"	
 ^$   &&   ), ' $(%)'+).)>)> EKK  U\\"	
 ^$   &&   (, 

**+ $('+%)EKK  ^$ U\\"	
     ,8 $( =='+>> EKK > LL	>
 ^$> > >, $'$'XX	tS%	 X c5 
!X
 ;;X X X* (())> ) )@V )  *)X ))*+4J +   	
  
"^  4 & 		" &+"	M $(MMeSj!"M 
(	M 	M EKK M M  #M2 

#* *> *  $* [)l+	 		"3N 3c 3. 3  #3 		"3N 3c 3. 3  #3(7 73 7 7c3m8L 7$
	 
 ;;	
 LL " ))* "
  ==""	"	" "
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