
    9iO                   $r   % S SK Jr  S SKrS SKrS SKrS SKrS SKrS SKrS SKrS SK	r	S SK
r
S SKrS SKJr  S SKJrJr  S SKJrJrJrJrJrJrJr  S SKJr  S SKJr  S SKrS SKrS SKrS SK rS SK!J"s  J#r$  S SK%J&r&  S S	K'J(r(  S S
K)J*r*  S SK+J,r,  S SK-J.r.J/r/J0r0J1r1J2r2J3r3J4r4J5r5J6r6J7r7J8r8  S SK9J:r:J;r;  S SK<J=r=J>r>J?r?  S SK@JArA  S SKBJCrCJDrDJErEJFrF  SSKGJHrH  SSKIJJrJJKrKJLrLJMrM  SSKNJOrOJPrP  SSKLJQrQJRrRJSrSJTrTJUrUJVrVJWrWJXrXJYrYJZrZJ[r[J\r\J]r]J^r^J_r_J`r`Jara  SSK"JbrbJcrcJdrdJereJfrfJgrgJhrhJiriJjrjJkrkJlrlJmrm  SSKnJoroJprp  \(       a  SSKqJrrr  \" S5      rs\" S5      rt\A" SS/5      ru\R                  " \w5      rx0 ryS\zS'   0 r{S \zS!'   \A\R                  R                     " 5       r~\R                  R                  r\R                  GR                   r\R                  GR                  r\A\R                  R                     " 5       r\A\R                  R                     " \GR                  GR                  /5      r\A\R                  R                     " 5       r0 rS"\zS#'   \R                  GR                  rS$ rGSfS% jrGSgS& jrS' rS( rS) rS* r\" \GR                   \GR"                  \GR$                  \GR&                  \GR(                  \GR*                  \GR,                  \GR.                  \GR0                  \GR2                  \GR4                  \GR6                  \GR8                  \GR:                  /5        \GR<                  \GR>                  \GR@                  \GRB                  \GRD                  \GRF                  \GRH                  \GRJ                  \GRL                  \GRN                  \GRL                  \GRP                  \GRR                  S+.rGShS, jrS- rS. rGSiS/ jrS0 rS1 rGSjS2 jr            GSkS3 jrS4 r  GSlS5 jrS6\3GRj                  S6\y4   GSmS7 jjrS8 rGSnS9 jr     GSoS: jrGSpS; jr GSp     GSqS< jjr\" \GR                  GR                  SS=9S> 5       r\" \GRx                  SS=9GSrS? j5       rS6S@.GSrSA jjr\" \GR~                  GR                  SS=9GSrSB j5       rS6S6SC.GSsSD jjr\" \GR                  SS=9GSpGSsSE jj5       rSSF\3GRj                  S6SSS6S4SG jrSH r\" 5          GSpSI jr\" \GR                  S6SSJ9SK 5       r\" \GR                  S6SSJ9SL 5       r\" \GR                  \GR                  \GR                  \GR                  \GR                  /5      SM 5       r\" \SN5      (       a  \" \GR                  5      " \5        \" \GR                  SS=9GStSO j5       r\" \GR                  SS=9GStSP j5       r\" \GR                  /5      GStSQ j5       r\" \GR                  5      SR 5       r\" \GR                  5      SS 5       r\" \GR                  5      ST 5       r\" \GR                  5      SU 5       r\" \GR                  GR                  5      SV 5       r\" \GR                  5      SW 5       r\" \GR                  SS=9SX 5       r\" \GR                  SS=9SY 5       r\" \GR                  SS=9SZ 5       r\" \GR                  5      S[ 5       r\" \GR                  SS=9\" \GR~                  SS=9\" \GR                  SS=9GSuS\ j5       5       5       r\" \GR                  SS=9S] 5       r\" \GR                  SS=9GSvS^ j5       r\" \GR                   SS=9GStS_ j5       r\" \GR                  SS=9GStS` j5       r\" \GR"                  SS=9GStSa j5       rGSwSb jr\" \GR                  SS=9                GSxSc j5       rSd r\" \GR                  GR                  5      Se 5       r\" \GR                  GR                  5      Sf 5       r\" \GR                  SS=9SSg.                 GSySh jj5       r\" \GR                  GR                  SS=9              GSzSi j5       r\" \GR                  GR                  SS=9SSg.               GS{Sj jj5       r\" \GR                  GR                  SS=9              GS|Sk j5       r\" \GR                  GR                  SS=9SSg.               GS}Sl jj5       r\" \GR                  5      GSwSm j5       r\" \GR                  SS=9GS~GSSn jj5       r\" \GR                  SS=9GS~GSSo jj5       r\" \GR                  SS=9GS~GSSp jj5       r\" \GR                  SS=9Sq 5       r\" \GR                  SS=9GSwSr j5       r\" \GR                  SS=9GSwSs j5       r\" \GR                  SS=9GSwSt j5       r\" \GR                  SS=9Su 5       r\" \GR                   SS=9Sv 5       Gr \" \GR                  SS=9Sw 5       GrGSwSx jGr\" \GR                  5      GSSz j5       GrGSS{ jGr\GR
                  S| 5       GrGStGSS} jjGrGStGSS~ jjGrGSGSS jjGr	GSS jGr
S Gr\" \R                  GR                  GR                  SS=9S 5       Gr\" \GR                  SS=9S 5       Gr\" \GR                  SS=9S 5       Gr\" \GR                   GR"                  SS=9S 5       Gr\" \GR&                  5      S 5       Gr\GR(                  " S5      S 5       GrS GrG\" \GR.                  GR                  5      GrG\" \GR.                  GR2                  5      GrG\" \GR6                  GR                  5      GrG\" \GR6                  GR2                  5      GrG\
" \GR<                  5        \" \GR.                  5      S 5       Gr\" \GR6                  5      S 5       Gr\" \KGR>                  SS=9S 5       Gr \" \KGRB                  SS=9GSS j5       Gr"\" \KGRF                  SS=9S 5       Gr$\" \KGRJ                  SS=9S 5       Gr&\" \KGRN                  SS=9S S.GSS jj5       Gr(\" \KGR<                  SS=9S S.         GSS jj5       Gr)GSS jGr*GSS jGr+\" \GRX                  GRZ                  SS=9S6S6SSS.             GSS jj5       Gr,\" \GR\                  \3GR^                  S=9S6S6S.       GSS jj5       Gr.S Gr0S Gr1S Gr2S Gr3S Gr4S Gr5S Gr6S Gr7G\
" \GRp                  5        G\
" \GRr                  5        G\
" \GRt                  5        G\
" \GRv                  S6S9  G\
" \GRx                  GR                  S6S9  G\
" \GRz                  5        G\
" \GR|                  S6S9  G\
" \GR~                  S6S9  \GR                  GR                  5       (       a  G\
" \GR                  S6S9  G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  GR                  5        G\
" \GR                  GR                  5        G\
" \GR                  5        G\
" \GR                  GR                  5        G\
" \GR                  GR                  5        G\
" \GR                  GR                  5        G\
" \GR                  5        G\
" \GR                  S6S9  G\
" \GR                  G\05        G\
" \GR,                  G\65        G\
" \GR                  G\05        G\
" \GR                  G\15        G\
" \GR                  G\15        G\
" \GR                  G\15        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  G\05        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  G\15        G\
" \GR                  5        G\
" \GR                  G\05        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                   5        G\
" \GR                  GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR
                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  5        G\
" \GR                  GR                  5        G\
" \GR                  GR                  S6S9  G\
" \GR                  G\05        G\
" \GR                  GR                  GR                  5        G\
" \GR                  GR                  GR                   5        G\
" \GR                  GR                  GR"                  5        G\
" \GR$                  5        G\
" \GR&                  5        G\
" \GR(                  G\15        G\
" \GR*                  5        G\
" \GR,                  5        G\
" \GR.                  5        G\
" \GR0                  5        G\
" \GR2                  5        G\
" \GR4                  GR6                  5        G\
" \GR8                  GR                  G\7S6S9  G\
" \GR:                  GR                  G\7S6S9  G\
" \GR<                  GR                  G\7S6S9  G\
" \GR>                  GR                  G\7S6S9  G\
" \GR@                  GR                  G\7S6S9  G\
" \GRB                  GR                  G\7S6S9  G\
" \GRD                  GR                  G\7S6S9  G\
" \GRF                  GR                  G\7S6S9  G\
" \GRH                  GR                  G\7S6S9  G\
" \GRJ                  GR                  G\7S6S9  G\
" \GRL                  GR                  G\75        G\
" \GRN                  GR                  G\75        G\
" \GRP                  GR                  G\75        G\
" \GRR                  GR                  G\75        G\
" \GRT                  5        G\
" \GRV                  GRZ                  SFS9  \" \GRX                  SS=9GSpS j5       Gr\" \GRZ                  5      SS.S j5       GrS Gr\" \S5      (       a  \" \GR^                  5      " G\5        \" \GR`                  5      S 5       Gr\" \GRb                  SS=9GSS j5       Gr\" \GRd                  SS=9GSS j5       GrS Gr\" \GR                  \GRh                  /5      SSSS6S.S j5       r\" \GRj                  5      GSnS j5       Gr\" \GRl                  5      S 5       Gr\" \GRp                  5      S 5       Gr\" \GRr                  5      S 5       Gr\" \GRt                  5       GSSSS.S jj5       GrS GrS GrS Gr\" \GR|                  \GR|                  /5      SSSSSSS.S j5       GrS GrS Gr\" \GR                  5      " G\" G\5      5      GrG\" G\" S5      5      GrG\" G\" S 5      5      GrS Gr\" \GR                  5      SSSSS.S j5       Gr\" \GR                  5      SSSSS.S j5       Gr\" \GR                  5      SSSSS.S j5       Gr\" \GR                  GR                  5      S 5       Gr\" \GR                  \GR                  /5      S 5       Gr\" \GR                  SS=9GSpS j5       Gr\" \GR                  SS=9GSS j5       GrS Gr GSS jGrS GrGSS jGr\" \GR                  SS=9S 5       Gr\" \GR                  SS=9S 5       Gr\" \GR                  SS=9GSpS j5       Gr\" \GR                  5      GSpS j5       GrS GrS Gr\" \GR                  SS=9GSpS j5       Gr\" \KGR                  SS=9GSpS j5       GrGSpS jGrG\" \GR                  GR                  S6S9GrG\" \GR                  GR                  S6S9Gr\" \GR                  SS=9S 5       Gr\" \GR                  SS=9S 5       Gr\S 5       Gr\" \GR                  SS=9GStS j5       Gr\" \GR                  SS=9GSS j5       GrSSFS.       GSS jjGr\" \GR                  SS=9SS.GSS jj5       Gr\" \GR                  SS=9GSS j5       Gr\" \GR                  SS=9GSS j5       Gr\" \GR                  SS=9GSS j5       Gr\" \GR                  SS=9SFS.GSS jj5       Gr  GS     GSS jjGr\" \GR                  GR                  5      GStGSS jj5       Gr\" \GR                  GR                  5      GStGSS jj5       Gr\" \GR6                  GR                  5       GSn   GSS jj5       r\" \GR8                  GR                  5       GSn   GSS jj5       r\" \GR                  GR                  5         GS     GSS jj5       Gr\" \GR                  GR                  5         GS     GSS jj5       GrS Gr\" \GR                  GR                  5      S 5       Gr        GSS jGr\" \GR                  SS=9GSwS j5       GrGSS jGrGSS jGrGSS jGr GSS jGrSS.S jGrS GrSS.S jGrS Gr\" \GR                  SS=9 GSpS j5       Gr          GSS jGr\" \GR                  SS=9S 5       GrS Gr\" \GR.                  SS=9    GSS j5       r\" \GR0                  SS=9    GSS j5       rG\" \GR2                  GR                  S6S9Gr\" \GR2                  SS=9S 5       rGSS jGrS GrS GrS GrG\" \GR                   GR                  S6S9Gr\" \GR                   5      S 5       Gr G\" \GR                  GR                  S6S9Gr\" \GR                  5      GS  5       GrGS Gr\" \GR
                  5      GS 5       Gr\" \GR                  5      GS 5       GrGS Gr\" \GR                  GR                  5       GSGS j5       GrG\" \GR$                  GR                  S6S9Gr	G\" \GR                  GR                  S6S9Gr\" \GR$                  SS=9     GSGS j5       r\" \GR                  SS=9     GSGS j5       Gr
GS GrG\" \GR&                  GR                  S6S9Gr\" \GR&                  SS=9 GStGS	 j5       rG\" \GR                  GR                  S6S9Gr\" \GR                  SS=9 GStGS
 j5       GrGS GrGS GrGStGSGS jjGrGS Gr\" \GR(                  5      GSSGS.GS jj5       GrGS GrGS GrGS GrGS Gr\" \GR2                  \GR2                  /5      GStSS6GS.GS jj5       Gr\" \GR6                  5      GStSS6GS.GS jj5       GrGS Gr\GS 5       GrG\" \GR<                  GR>                  S6S9Gr G\" \GR<                  GRB                  S6S9Gr"G\" \GR<                  GRF                  S6S9Gr$\" \GR<                  SFGS9GS 5       GrGSpGS jGr%\" \GRL                  5      GS 5       Gr&\" \GRN                  SS=9GSpGS j5       Gr'\GS 5       Gr(\GS  5       Gr)\" \GRT                  SFGS9GStGS! j5       Gr+\" \GRX                  /SFGS9GS" 5       Gr,GSGS# jGr-\" \GRT                  /SFGS9GS$ 5       Gr.\" \GR^                  \GRT                  GRZ                  /SF\3GR`                  SJ9GS% 5       Gr*\" \GRb                  \GRb                  /SFGS9GS& 5       Gr1\" \GRd                  \GRd                  /5      GSSGS.GS' jj5       Gr3G\" \GRh                  GR                  5      Gr5G\" \GRl                  GR                  5      Gr7G\" \GRp                  GR                  5      Gr9G\" \GRt                  GR                  5      Gr;G\" \GRx                  GR                  5      Gr=\" \GRh                  5      GSnGS( j5       Gr4\" \GRl                  5      GSnGS) j5       Gr6\" \GRp                  5      GS* 5       Gr8\" \GRt                  SS=9GStGS+ j5       Gr:\" \GRx                  SS=9GStGS, j5       Gr<\" \GR|                  5      GSSGS.GS- jj5       Gr>\" \GR~                  5      GSGS. j5       Gr@\" \GR                  SS=9GSGS/ j5       GrB\" \GR                  SS=9GSGS0 j5       GrD\" \GR                  5      " G\" GS15      5        \" \GR                  5      " G\" GS25      5      GrG\" \GR                  5      " G\" GS35      5      GrI\" \GR                  5      " G\" GS4\GRD                  GS595      GrK\" \GR                  5      " G\" GS6\GRD                  GS595      GrM\" \GR                  SFGS7GS89GrNG\" \GR                  GR                  S6S9GrO\" \GR                  GR                  SS=9SSyS6GS9.GS: j5       GrP\" \GR                  GR                  SS=9GSGS; j5       GrfGSnGS< jGrQGSGS= jGrRG\Q" \GR                  5      GrSG\R" \GR                  5      GrTG\Q" \GR                  5      GrUG\Q" \GR                  5      GrV\" \GR                  5      GrWG\R" \GR                  5      GrXG\R" \GR                  5      GrY\" \GR                  5      GrZ\" \GR                  SFGS>9Gr[G\R" \GR                  5        G\R" \GR                  5        \" \GR                  5      Gr^\" \GR                  5      Gr_\" \GR                  5      Gr`\" \GR                  GS?GS@9Gra\" \GR                  5      Grb\" \GR                  5      Grc\" \GR                  5      GrdG\Q" \GR                  5        G\Q" \GR                  5      Grf\" \GR                  \3GR`                  S=9" G\f5        G\Q" \GR                  5        G\Q" \GR                  5        G\Q" \GR                  5        G\R" \R                  5        \" \GR                  SSF\GRP                  GSA9Grk\" \GR                  SSF\GRP                  GSA9Grl\" \GR                  SSF\GRP                  GSA9Grm\" \GR                  SSF\GRP                  GSA9Grn\" \GR                  5      Gro\" \GR                  5      Grp\" \GR                  5      " G\o5        \" \GR                  5      " G\p5        \" \GR                  5      Grs\" \GR                  5      Gr^G\Q" \GR                  5      Grt\" \GR                  5        \" \GR                  GSBGS@9Grv\" \GR                  5        \" \GR                  \GRP                  GS59  \" \GR                  5      " G\s5        \" \GR                  \GRP                  GS59  \" \GR                  \GRP                  GS59  \" \GR                  \GRP                  GS59  \" \GR                  \GRP                  GS59Gr|\" \GR                  \GRP                  GS59  \" \GR                  \GRP                  GS59  G\Q" \GR                  5        G\Q" \GR                   5        G\Q" \GR                  5        G\Q" \GR                  5        G\Q" \GR                  5        G\Q" \GR                  5        G\Q" \GR
                  5        G\Q" \GR                  5        G\Q" \GR                  5        G\Q" \GR                  5        G\Q" \GR                  5        G\Q" \GR                  5        G\Q" \GR                  5        G\Q" \GR                  5        G\Q" \GR                  5        G\Q" \GR                  5        SGSCGKGJGrGJGr  GSD GrG\ HR  GrG\" \G\5       H  u  GrGrGr\" G\G\G\G\GSE9  M     G\" \G\5       H  u  GrGrGr\" G\G\G\G\GSE9  M     MT     \" \GR.                  GR0                  G\NSFGS>9Gr\" \GR.                  GRB                  G\NSFGS>9Gr\" \GR.                  GRZ                  G\NSFGS>9  \" \GR6                  GR0                  G\,5      Gr\" \GR6                  GRZ                  G\,5        \" \GR6                  GRB                  G\,5      Gr\" \GR<                  GR0                  G\[5        \" \GR<                  GRB                  G\[5        \" \GR>                  GR                  G\s5        \" \GR@                  GR                  G\^5        \" \GRB                  GRB                  G\5        \" \GRB                  GR0                  G\5        \" \GRB                  GRD                  G\5        \" \GRF                  GR0                  G\*5      Gr\" \GRF                  GRZ                  G\*5        \" \GRF                  GRB                  G\*5      Gr\" \GRL                  G\Y5        \" \GRN                  G\S5        \" \GRP                  GR0                  G\o5        \" \GRP                  GRB                  G\o5        \" \GRR                  GR0                  G\p5        \" \GRR                  GRB                  G\p5        \" \GRT                  GR0                  G\o5        \" \GRT                  GRB                  G\o5        \" \GRV                  GR0                  G\p5        \" \GRV                  GRB                  G\p5        \" \GRX                  G\t5        \" \GRZ                  G\v5        \" \GR\                  G\5      GrGSF GrG\" \GRb                  GR0                  \GR.                  GR0                  G\5        G\" \GRb                  GRB                  \GR.                  GRB                  G\5        G\" \GRd                  GR0                  \GR6                  GR0                  G\5        G\" \GRd                  GRB                  \GR6                  GRB                  G\5        G\" \GRf                  GR0                  \GRF                  GR0                  G\5        G\" \GRf                  GRB                  \GRF                  GRB                  G\5        G\" \GRh                  GR                  \GR\                  GR                  G\5        GSG GrG\" \GRl                  G\N5        G\" \GRn                  G\_5        G\" \GRp                  G\`5        G\" \GRr                  G\a5        G\" \GRt                  G\b5        G\" \GRv                  G\c5        G\" \GRx                  G\d5        G\" \GRz                  G\,5        G\" \GR|                  GRZ                  G\*5        G\" \GR|                  GR~                  G\+5        G\" \GR                  G\k5        G\" \GR                  G\l5        G\" \GR                  G\m5        G\" \GR                  G\n5        G\" \GR                  G\[5        G\" \GR                  G\W5        G\" \GR                  G\X5        \" \GR                  5      " G\_5        \" \GR                  5      " G\`5        \" \GR                  5      " G\b5        \" \GR                  5      " G\c5        \" \GR                  5      " G\d5        G\" \GR                  \GR                  5        G\" \GR                  \GR                  5        G\" \GR                  \GR                  5        G\" \GR                  \GR                  5        G\" \GR                  \GR                  5        \" \GR                  5      GSnGSH j5       Gr\" \GR                  GR                  5      GSI 5       Gr\" \GR                  GR                  5      GSJ 5       Gr\" \GR                  5      GSK 5       Gr\:GR                  " 5        H  u  GrGr\" \;" G\5      5      " G\5        M      \" \GR                  5      GSL 5       Gr\" \GR&                  5      GSM 5       Gr\" \R                  GR                  GR                  5      GSN 5       Gr\" \R                  GR                  GR                  5      GSO 5       Gr\" \R                  R                  GR                  GR                  5      GSP 5       Gr\" \R                  GR                  GSQ5      (       a;  \" \R                  GR                  GRN                  GR                  5      GSR 5       Gr\" \R                  R                  GR                  5      SS.GSS j5       GrS GSTGKGJGr  G\
" G\5        \" \*5      GSU 5       Gr\" \R                  GR                  GR                  SS=9GSV 5       Gr\" \R                  GR                  GR                  SS=9GSpGSW j5       Gr\" \R                  GR                  GR                  SS=9" \GR                  " G\SFGSX95        \" \R                  GR                  GR                  SS=9GSGSY j5       Gr\" \GR                  GR                  SS=9SGSZ.GSGS[ jj5       Gr\" \(SS=9    GSGS\ j5       Gr\" \R                  GR                  GR                  GR                  5      GS] 5       Gr\" \R                  GR                  GR                  SS=9GS^ 5       GrSGS_GKGJGr  G\" 5         \" \KGR                  SS=9GS` 5       GrSGSaKIGJGr  \H" G\5        SGSbKIGJGr  G\GR                  " 5         G\GR                  " 5         SGScKIGJGr  G\GR                  " 5         SGSdKIGJGr  G\GR                  " 5         \GR                  GSGSe j5       Gr g(      )annotationsN)defaultdict)IterableSequence)AnyCallablecastOptionalTYPE_CHECKINGTypeVarUnion)	ParamSpec)patch)counters)associative_scan_op)triton_kernel_wrapper_mutation)get_layout_constraint_tag)canonicalize_dimcanonicalize_dimscheckdtype_to_typeelementwise_dtypesELEMENTWISE_TYPE_PROMOTION_KINDget_computation_dtypeis_boolean_dtypeis_float_dtypeis_integer_dtypeNumber)magic_methodsmethod_to_operator)free_unbacked_symbolshas_free_unbacked_symbolsresolve_unbacked_bindings)
OrderedSet)CeilDivFloorDivIdentityModularIndexing   )import_submodule   )configinductor_primsirtest_operators)decompositionsget_decompositions)BaseView	DtypeView
ExpandViewIndexingConstantIRNode	is_triton
MutableBoxOnlineSoftmaxReductionops_wrapperPermuteView	Pointwise	ReductionShapeAsConstantBufferSqueezeView	TensorBoxvalidate_irView)ceildivdecode_device
is_dynamicis_gpuis_pointwise_useis_view,needs_fallback_due_to_atomic_add_limitationspad_listlike#register_op_dtype_propagation_rules#register_op_requires_libdevice_fp64sympy_productuse_scatter_fallback)opsV)ReductionType_T_Pztorchvision::roi_alignzaten::index_addz8dict[Union[Callable[..., Any], str], Callable[..., Any]]	loweringsz9dict[torch._ops.OpOverload, Optional[Callable[..., Any]]]_maybe_layout_constraintsz2dict[torch._ops.OpOverload, torch._ops.OpOverload]inplaceable_foreach_opsc                     [         R                  R                  R                   H=  n U R                   H*  nUR                  S:X  a  UR
                  [        ;   a  M)      g   M?     g)Ncall_functionTF)rP   graphcurrent_nodeusersoptargetforeach_ops)nodeusers     X/var/www/html/land-doc-ocr/venv/lib/python3.13/site-packages/torch/_inductor/lowering.pycur_node_has_non_foreach_usersrb      sI    $$**JJDGG.DKK;4N  +
     c                   [        [        5      nSn[        U 5       H  u  p4[        U[        5      (       d  SnU4n[        U6 (       + =(       d    [        R                  nS nU H4  n[        U[        5      (       d  M  UR                  R                  5       n  O   Uc   S5       eU(       a  Uu  nXU4   R                  X445        M     U$ )NFTz.foreach op should have at least one tensor arg)r   list	enumerate
isinstancer   rE   r,   #combo_kernel_foreach_dynamic_shapesr@   data
get_deviceappend)	arg_pairsoutunpack_argsiargsuse_foreachdevicets           ra   group_foreach_argsrt      s    
d
CKY'$))K7DD!!OV%O%O 	 A!Y''**,  !S#SS!GT[!"))1)4 (  Jrc   c                    [        U [        R                  R                  5      (       d  g[	        U SS9=n(       a  [        U5      $ U [        ;   a	  [        U    $ g)zHGet layout constraints. Returns None if there are no layout constraints.NF)with_default)rg   torch_ops
OpOverloadr   tag_to_layout_constraintrU   )fnmaybe_layout_tags     ra   maybe_layout_constraintsr}      sR    b%**//004ReLLL'(899	&&(,,rc   c                   U [         R                  R                  R                  :X  a  [        $ U [         R                  R                  R
                  :X  a  [        $ U [         R                  R                  R                  :X  a  [        $ U [         R                  R                  R                  :X  a  g [        SU  35      e)NzUnknown layout constraint tag: )rw   _CTagneeds_exact_stridesconstrain_to_fake_tensorsneeds_contiguous_stridesrequire_contiguous_stridesneeds_fixed_stride_orderconstrain_to_fx_stridesflexible_layoutAssertionError)tags    ra   rz   rz      s    
ehhll...((
ehhll333))
ehhll333&&
ehhll***
:3%@
AArc   c                .    U (       d  [        SU 35      eg )Nzinductor does not support NotImplementedErrorcondmsgs     ra   
assert_nyir      s    !$>se"DEE rc   c                j  ^  [        T [        [        [        [        45      (       a  T  Vs/ s H  n[        U5      PM     sn$ [        R                  T 5        [        T [        R                  R                  5      (       a.  [        R                  U 4S jT R                  5        5       5        g g s  snf )Nc              3  <   >#    U  H  n[        TU5      v   M     g 7fN)getattr).0overloadr{   s     ra   	<genexpr>,add_needs_realized_inputs.<locals>.<genexpr>   s      %
2@hGB!!.   )rg   re   settupler$   add_needs_realized_inputsneeds_realized_inputsaddrw   rx   OpOverloadPacketupdate	overloads)r{   xs   ` ra   r   r      s    "tS%455689b)!,b99b!"ejj1122$$ %
24,,.%
 	
 3 :s   B0c                    [        U [        R                  R                  5      (       a*  U R	                  5        H  nU[
        [        X5      '   M     g U[
        U '   g r   )rg   rw   rx   r   r   rU   r   )r{   
constraintr   s      ra   add_layout_constraintr      sF    "ejj1122H?I%gb&;< ' )3!"%rc   )r   r+   r)                     	   
         c                p    [        U [        5      (       d  U $ U [        ;   d   SU  S35       e[        U    n U $ )Nzid z missing from DTYPE_ID_LOOKUP)rg   intDTYPE_ID_LOOKUPdtypes    ra   decode_dtyper      s@    eS!!O#Os5'1N%OO#E"ELrc   c                   [        U [        5      (       a9  [        U R                  5       5      =(       d    [	        U R                  5       5      $ [        U [
        R                  5      (       a  U R                  SL $ [        U [        5      $ )NT)	rg   r@   r   	get_dtyper   sympyExpr
is_integerr   r   s    ra   is_integer_typer     s^    !Y.Q2B1;;=2QQ	Auzz	"	"||t##!S!!rc   c                ~    [        U [        5      (       a  [        U R                  5       5      $ [        U [        5      $ r   )rg   r@   r   r   boolr   s    ra   is_boolean_typer     s-    !Y..!T""rc   c                ^    S nU Vs/ s H
  o2" U5      PM     nn[        USU 06u  pVU$ s  snf )Nc                    [        U [        [        R                  45      (       a  U $ [	        U R                  5       5      n[        R                  " S/U-  U R                  5       S9$ )Nr+   r   )	rg   r   r   Basiclenget_sizerw   zerosr   )inpdims     ra   construct_input+get_promoted_dtype.<locals>.construct_input  sJ    cFEKK011Jclln%C;;sSy@@rc   type_promotion_kind)r   )r   rp   r   arginps_r   s          ra   get_promoted_dtyper     s?    A -11DSOC DD1!4Q=PQHAL 2s   *c                R   [        U [        [        45      (       d  U /n O[        U 5      n [        U 5       Hm  n[        U[        R                  R
                  5      (       d  M.  UR                  5        H+  n[        X5      nU[        ;  d  M  U R                  U5        M-     Mo     U $ r   )
rg   re   r   rw   rx   r   r   r   rT   rk   )aten_fnr{   r   other_fns       ra   get_overloadsr   %  s}    ge}--)w-7mb%**5566LLN"209,NN8, +  Nrc   c                    [        U [        R                  R                  5      (       a  XR                  ;   $ [        U [        R                  R
                  5      (       a  XR                  5       ;   $ gNF)rg   rw   rx   r   _qualified_op_namery   name)r\   	namespaces     ra   in_namespacer   5  sQ    "ejj11221111	B

--	.	.GGI%%rc   c           	     H   [        U R                  [        R                  5      (       a  [	        U R                  5       5      (       a  U $ U R                  5        Vs/ s H,  n[        R                  R                  R                  U5      PM.     nnU R                  5       nUby  UR                  S:X  ai  XA:w  ad  [        U5      S:X  d  [        U5      S:X  aF  US   S:X  a=  [        [        R                  " [        R                  R!                  XS5      5      5      $ U $ s  snf )z:
Copy cpu scalar if doesn't not match with given `device`
cpur   r+   F)rg   ri   r.   ReinterpretViewr"   r   rP   rY   sizevarssize_hint_or_throwrj   typer   r@   
StorageBox
DeviceCopycreate)r   rr   ssize
cur_devices        ra   maybe_copy_cpu_scalarr   =  s     affb00115N	

6 6 <=JJLILqAGG//2LDIJOOu$ Y!^D	Q47a<r}}';';A5'QRSSH Js   3Dc           	     z  ^ ^^^ [        T 5       VVs/ s H  u  pV[        U[        5      (       d  M  UPM      nnnTR                  5        VV	s/ s H  u  p[        U	[        5      (       d  M  UPM      n
nn	U(       d  U
(       d  T T4$ U(       d  U(       Ga8  U(       a  [        R
                  mO{T  Vs/ s H=  n[        U[        [        R                  45      (       d  [        US5      (       d  M;  UPM?     nnUR                  S TR                  5        5       5        [        USU06mU(       a  T US      OTU
S      R                  5       mU H  n[        T U   T5      T U'   M     U
 H  n[        TU   T5      TU'   M     UU4S jnT  Vs/ s H
  o" U5      PM     snm TR                  5        VV	s0 s H  u  pX" U	5      _M     sn	nmU(       GaF  [        [!        ["        R$                  " U 4S jU 5       U4S jU
 5       5      5      6 n[!        US   R'                  5       5      n[)        X~S[+        U5       5       H
  u  pVUT U'   M     [)        X[+        U5      S 5       H
  u  pUTU'   M     [-        [+        T 5      5       HD  n[        T U   [.        R0                  5      (       d  M'  [2        R4                  " T U   U5      T U'   MF     T HD  n[        TU   [.        R0                  5      (       d  M'  [2        R4                  " TU   U5      TU'   MF     T T4$ s  snnf s  sn	nf s  snf s  snf s  sn	nf )	z:
Transforms arguments for broadcasting and type promotion
r   c              3  L   #    U  H  n[        US 5      (       d  M  Uv   M     g7f)r   N)hasattr)r   as     ra   r   !transform_args.<locals>.<genexpr>m  s     !T_7@S!!_s   $	$r   r   c                   > [        U [        5      (       a  [        U T5      $ [        U [        R                  5      (       a   [        R                  " U R
                  TTS9$ U $ )Nvaluer   rr   )rg   r@   to_dtyper.   Constantr   )r   rr   r   s    ra   promotetransform_args.<locals>.promote~  sJ    #y))U++C--{{%OO
rc   c              3  .   >#    U  H
  nTU   v   M     g 7fr    )r   ro   rp   s     ra   r   r     s     3lT!Wl   c              3  .   >#    U  H
  nTU   v   M     g 7fr   r   )r   kkwargss     ra   r   r     s     71VAYr   N)rf   rg   r@   itemsrw   r   r   r   r   r   extendvaluesr   rj   r   broadcast_tensorsre   	itertoolschainr   zipr   ranger.   r   r4   r   )rp   r   	broadcastr   convert_input_to_boolro   r   args_indicesr   vkwargs_indicesr   promoting_argsr   broadcastedr   rr   r   s   ``              @@ra   transform_argsr  Q  s    #,D/N/$!Z95MA/LN$*LLNONDAjI6NaNNOV|3 JJE
 Aa&%++!67771g;N    !!!TV]]_!TT&$7E &2Da!vnQ>O7P
*, 	 A+DGV<DG   A-fQi@F1I  	 %))Dq
D),2LLN;NDA!WQZ-N;'3l377
 KN++-.2EC4E&FGDADG HC4E4G(HIDAF1I J s4y!A$q'2;;//$++DGT:Q " A&)R[[11&--fQi>q	  <I OO> *;s.   L!L!L'-L'3:L-1L-L27L7c                   ^ [         R                  " T5      U4S j5       n[        U 5      n[        R	                  U5        [
        R	                  [        R                  X25      5        U$ )a  
Add a foreach lowering to lowerings dict.

Arguments:
    aten_fn: torch.ops.aten.* fn we are lowering
    decomp_fn: alternate implementation on our IR
    broadcast: True to apply broadcasting to tensor inputs
    type_promotion_kind: kind of type promotion applied to tensor inputs, `None` means no type promotion
    convert_input_to_bool: some logical ops require inputs are converted to bool
c                 P   > [        U 5      S::  d   eT" U 0 UD6n[        U5        U$ )Nr)   )r   rA   )rp   r   rm   	decomp_fns      ra   wrapped+_register_foreach_lowering.<locals>.wrapped  s/    4yA~~((C
rc   )	functoolswrapsr   r^   r   rT   dictfromkeys)r   r
  r  aten_fnss    `  ra   _register_foreach_loweringr    sV     __Y   W%Hx T]]856Nrc   c                   ^ ^^^^ [         R                  " T5      U UUUU4S j5       n[        T 5      m UR                  [        R                  T U5      5        U$ )a  
Add a lowering to lowerings dict

Arguments:
    aten_fn: torch.ops.aten.* fn we are lowering
    decomp_fn: alternate implementation on our IR
    broadcast: True to apply broadcasting to tensor inputs
    type_promotion_kind: kind of type promotion applied to tensor inputs, `None` means no type promotion
    convert_input_to_bool: some logical ops require inputs are converted to bool
c                   > [        U 5      n [        U5      nSn[        U 5      S:X  a.  [        U S   [         [        45      (       a  Sn[        U S   5      n [        S T 5       5      (       d,  [        S UR                  5        5       5      (       a   S5       e[        XTTT5      u  pU(       a  U /n T" U 0 UD6n[        U5        U$ )NFr+   r   Tc              3  X   #    U  H   o[         ;   =(       d    [        US 5      v   M"     g7f)_c10d_functionalN)	fallbacksr   )r   r{   s     ra   r   6_register_lowering.<locals>.wrapped.<locals>.<genexpr>  s&      
PW"9_DR1C DDPWs   (*c              3  *   #    U  H	  oS :H  v   M     g7f)rm   Nr   r   r   s     ra   r   r    s     =}!:}   zout= ops aren't yet supported)
re   r  r   rg   r   allanykeysr  rA   )	rp   r   unpackedrm   r   r   r  r
  r   s	       ra   r  #_register_lowering.<locals>.wrapped  s    t*!%ft9>ja4-@@HQ=D 
PW
 
 
 =v{{}=== /= &)%8:O
 6D((C
rc   )r  r  r   r   r  r  )r   r
  r   r   r  lowering_dictr  s   `````  ra   _register_loweringr"    sO    & __Y   : G$Gw89Nrc   Fc           	     <    [         R                  " [        U UUUUS9$ )z#
Shim to support decorator syntax.
)r   r   r  r!  )r  partialr"  )r   r   r   r  r!  s        ra   register_loweringr%    s)     /3# rc   c                   / n[         R                  " [        U 5      [        U5      [        R                  R
                  S9 GH*  u  p4[        R                  R                  R                  U5      (       a  UR                  U5        MG  [        R                  R                  R                  U5      (       a  UR                  U5        M  [        R                  R                  R                  X45        [        [        R                  " U5      R                  5      [        [        R                  " U5      R                  5      :  a  UR                  U5        GM  UR                  U5        GM-     [        [        U5      5      $ )z
Broadcasting logic based on symbolic shapes.

We give the shapes 0 and 1 concrete values, while all other shapes
are symbolic sympy formulas.
)	fillvalue)r   zip_longestreversedr   SOnerP   rY   r   is_size_one_or_falserk   check_equalsr   expandfree_symbolsr   )r   boutputr   ys        ra   broadcast_symbolic_shapesr3  	  s     F%%hqk8A;%''++V770033MM!WW22155MM!GG))!/5<<?//03u||A7S7S3TTa a  W &!""rc   c                  ^ Ub
  Ub   S5       eUc  Uc  [         R                  n[        S U  5       5      (       d  U $ [        S U  5       5      (       a2  U=(       d    [	        U SU06mU4S jnU  Vs/ s H
  oC" U5      PM     sn$ [        S U  5       5      n/ nU  GH!  n[        U[        [        45      (       an  UR                  [        R                  " [        R                  " XER                  5       UR                  5       S9[!        UR#                  5       5      5      5        M  [        U[$        R&                  5      (       ad  UR                  [        R                  " [)        XER                  5       UR                  5       S9[!        UR#                  5       5      5      5        GM  UR                  U5        GM$     U$ s  snf )	NzEonly one of override_return_dtype or type_promotion_kind may be givenc              3  l   #    U  H*  n[        U[        R                  [        [        45      v   M,     g 7fr   )rg   r   r   r   floatr  s     ra   r   $promote_constants.<locals>.<genexpr>'  s%     HAz!ekk3677   24c              3  l   #    U  H*  n[        U[        [        [        R                  45      v   M,     g 7fr   )rg   r   r6  r   r   r  s     ra   r   r7  )  s%     
DV:a#uekk233Vr8  r   c                   > [        U [        R                  5      (       a  [        R                  " U T[        S 5      S9$ [        R                  " U T[        S 5      S9$ )Nindexr   rr   r   )rg   r   r   r.   r5   rD   r   r   r   s    ra   
const_func%promote_constants.<locals>.const_func.  sM    !U[[))**5t1D  {{%d@STTrc   c              3  ~   #    U  H3  n[        U[        [        [        R                  45      (       d  M/  Uv   M5     g 7fr   )rg   r@   r4   r.   r   r  s     ra   r   r7  7  s&     WA:a)Z1U#Vaas   .=	=r   r;  )r   DEFAULTr  r  r   nextrg   r   r6  rk   r4   r   r.   r   r   get_device_or_errorre   r   r   r   r5   )inputsoverride_return_dtyper   r>  r   exrm   r   s          @ra   promote_constantsrG    s    (,?,G OG $)<)D=EEHHHH

DV
DDD% 
);*
)<*
	U (..v!
1v..	WW	WB
Ca#u&&JJ!!KK||~b>T>T>V '	 5;;''JJ!!$||~b>T>T>V '	 JJqM) , J3 /s   3Gc                4   ^ ^^^^^ S S.SUU UUUU4S jjjnU$ )Nalphac           	     &  >^^^^	^
^ Tb%  [        S T 5       5      (       a  T(       a   eT" T6 $ [        TT5      mT(       a'  U b#  U S:w  a  [        T5      m[        TS   U 5      TS'   OU b   eT Vs/ s H  o"R	                  5       PM     snm	TS   R                  5       mT=(       d    TS   R                  5       mTSS   Hh  n[        U[        R                  5      (       a  M$  [        T5      [        UR                  5       5      :X  a  ML   ST ST SUR                  5        35       e   [        R                  [        R                  4m
[        R                  S L=(       a    [!        [        R                  SS 5      S L=(       am    [        R                  R"                  R$                  S L=(       a@    [        R                  R"                  R$                  R'                  SS	5      =(       a    TT
;   mUUUUU	U
UU4S
 jnT(       d_  S nT H=  n[)        UR+                  5       R,                  5      (       d  M-  UR+                  5       n  O   U(       d  TS   R+                  5       nT=(       d    Wn[.        R0                  " UTUTS9$ s  snf )Nc              3  f   #    U  H'  n[        U[        5      =(       a    [        U5      v   M)     g 7fr   rg   r6   r7   )r   r   s     ra   r   0make_pointwise.<locals>.inner.<locals>.<genexpr>[  s&      /
BH3JsF#6	#6&   /1r+   r   zndim mismatch  rZ   low_precision_pointwise_barrierFc                &  > [        U 5      [        T5      :X  d   SU  ST 35       eT[        R                  :X  a  Tb  T" T Vs/ s H
  o" U 5      PM     sn6 $ / n[        T5       Hi  u  p1U" U 5      nT
U   R	                  5       nT(       a1  UT;   a+  [
        R                  " XESS9n[
        R                  " Xe5      nUR                  U5        Mk     T	" U6 nT(       a-  [
        R                  " UTSS9n[
        R                  " UT5      $ U$ s  snf )Nzwrong ndim rQ  F)use_compute_types)r   rw   r   rf   r   rO   r   rk   )r<  loadinputs_loaded	inp_indexrm   	inp_dtypedowncastr   emulate_precision_castsr{   rD  loaders	low_pr_fpoverride_fn_when_input_boolrangess          ra   inner_fn/make_pointwise.<locals>.inner.<locals>.inner_fn}  s   u:V,LE7!F8.LL,

"'B'N2W4UWTT%[W4UVV "'0'9OIu+C &y 1 ; ; =I.9	3I#&<<RW#X!ll8?!((- (: -(*  #||C%PH<<%88
# 5Vs   Drr   r   r_  r^  )r  rG  re   mulmake_loaderr   r   rg   r.   BaseConstantr   rw   bfloat16float16rP   rY   r   rZ   metagetrF   rj   r   r<   r   )rJ  rD  r   otherr_  rr   ro   r   rZ  r[  r\  r^  allow_alphar{   override_devicer]  rE  triton_fallbacks    `     @@@@@ra   innermake_pointwise.<locals>.innerZ  sF   &3 /
BH/
 ,
 ,
 #"?"F++"6+@A UaZf U3r
= =,23Fq==?F3##%%>)<)<)>ABZEeR__55V I : At1VHAenn.>-?@A    ^^U]]3	GG4 #6dB#$$))5# $$))--.OQVW# " 	 	 	, F!,,.--..\\^F  --/ *F	
 	
m 4s   3J)rD  r@   r   )r{   rE  rk  r]  rj  rl  rm  s   `````` ra   make_pointwisero  R  s     )- I
 I
V Lrc   c                $   ^ ^ SS.SUU 4S jjjnU$ )Nr+   rI  c                8  > [        [        R                  R                  R                  5      S:H  =(       d<    [        R                  R                  R
                  [        ;   =(       d
    [        5       nS nU H"  n[        U[        [        45      (       d  M   Un  O   Uc   S5       e/ nU HO  n[        U[        [        45      (       d   UR                  U/[        U5      -  5        M>  UR                  U5        MQ     [        [        U6 5      nS /[        U5      -  nUR                  5        H  u  u  pn
/ nU
 H  u  nnT(       a	  T" USU 06nOT" U6 nXU'   [        R                  R                  U[         R"                  5      (       d  MT  U	(       d  M]  U(       d  Mf  UR%                  5         UR                  UR'                  5       5        M     U(       d  M  [        R                  R)                  U5        M     [+        S U 5       5      (       d   eU$ )Nr   z1at least one input must be a list to a foreach oprJ  c              3  (   #    U  H  oS Lv   M
     g 7fr   r   r  s     ra   r   8make_foreach_pointwise.<locals>.inner.<locals>.<genexpr>  s     2'QD='   )r   rP   rY   rZ   r[   r]   inplace_foreach_opsrb   rg   re   r   rk   rt   r   r   has_featureBackendFeatureFOREACHrealizeget_operation_nameregister_operation_listr  )rJ  rD  realize_outputsa_list_inputinputbroadcast_inputsgroupsoutputsrr   rq   groupoperation_list
output_indrp   r1  rj  pw_fns                  ra   rm  %make_foreach_pointwise.<locals>.inner  s   $$**+q0 0ww##**.AA0-/ 	 E%$//$  ' 	
?	
'
 EedE]33 ''#l2C(CD ''.	  $C)9$:;&3|,,,2LLN(!V5(*N "D66F"D\F&,
# GG''0F0FGG#'NN$"))&*C*C*EF   ~//?- -;0 2'22222rc   )rD  zlist[list[TensorBox]]r   )r  rj  rm  s   `` ra   make_foreach_pointwiser    s    45 4 4l Lrc   c                   ^^ U R                  5       mTT:X  a  U(       a  [        U 5      $ U $ UU4S jn[        UTS9" U 5      $ )Nc                0   > [         R                  " U TTS9$ )N)	src_dtype)rO   r   )r   r   r  s    ra   	_to_dtypeto_dtype.<locals>._to_dtype  s    ||Au	::rc   rE  )r   clonero  )r   r   copyr  r  s    `  @ra   r   r     sB     IEuQx&Q&; )5A!DDrc   r   c                   SSK Jn  UnU R                  nU" U[        R                  S9n[        R
                  " U5         UR                  " U6   SSS5        UR                  nU(       d   e[        U5      nS/[        U5      -  n	UR                  5        H  u  u  pn/ nU Hw  u  nnXU'   [        R                  R                  U
[        R                  5      (       d  M?  U(       d  MH  UR                  5         UR                  UR!                  5       5        My     U(       d  M  [        R                  R#                  U5        M     [%        S U	 5       5      (       d   eU	$ ! , (       d  f       GN= f)a)  
This lowers an invocation of foreach_map
The way this works is that an arbitrary N-arg func is provided by the user, looped over by the
polyfill with the same semantics as a foreach op (a loop applying an n-ary function to n args)
and then traced into a subgraph by dynamo.
This code allows us to inline the subgraph into the main graph lowering using the PontwiseSubgraphLowering.
The graph outputs represent the vertically fused sequence of ops, and then register_operation_list
below registers the buffers as horizontally fuseable in the scheduler.
r+   )PointwiseSubgraphLowering)root_graph_loweringNc              3  (   #    U  H  oS Lv   M
     g 7fr   r   r  s     ra   r   _foreach_map.<locals>.<genexpr>  s     .g}grt  )subgraph_loweringr  graph_modulerP   rY   set_graph_handlerrungraph_outputsrt   r   r   rv  rw  rx  ry  rk   rz  r{  r  )subgraphrp   r   r  rD  gmpw_subgraphsub_outputsr  r  rr   rq   r  r  r  r1  s                   ra   _foreach_mapr    s2    =F			B+BAGGLK	
		[	)  
* ++K;,Ffs;''G(.$u$& 
"(Jww""6>+A+ABB{{ %%f&?&?&AB  >GG++N; )7 .g.....N3 
*	)s    E%%
E4c                D   UR                   (       d  U R                  5       R                   (       ag  U R                  5       (       a*  [        XS9n[        R
                  R                  X 5        U$ [        [        R                  R                  SS9" X5      $ [        XSS9$ )Nr   Fadd_to_fallback_setTr  )
is_complexr   r   
empty_liker.   InplaceCopyFallbackr   fallback_handlerprimsconvert_element_typedefaultr   )r   r   dsts      ra   _convert_element_typer    s~    1;;=33::<< Q,C""))#1J#**22  A4((rc   r  c                  U R                  5       nX1:X  a  U(       a  [        U 5      $ U $ S nU" U5      nU" U5      nXV:w  a)  [        [        R                  R
                  5      " X5      $ [        [        R                  " X5      5      $ )Nc                    U R                   (       a   [        R                  " U 5      R                  $ [        R                  " U 5      R                  $ r   )is_floating_pointrw   finfobitsiinfor   s    ra   _get_primitive_bitwidth1to_dtype_bitcast.<locals>._get_primitive_bitwidth1  s5    "";;u%***;;u%***rc   )	r   r  r  atenviewr   r@   r3   r   )r   r   r  x_dtyper  src_bitsdst_bitss          ra   to_dtype_bitcastr  ,  ss    kkmGuQx&Q&+ 'w/H&u-H		0::))!344rc   c                8   UR                   (       d  U R                  5       R                   (       a`  [        R                  " [        R
                  R                  [        R                  R                  R                  R                  X5      5      $ [        X5      $ r   )r  r   r@   r   r.   ComplexViewrw   rO   r  r  r   r  r=  s     ra   _view_dtyper  @  sa    1;;=33NN!!%)).."5"5";";QF
 	
 A%%rc   r  non_blockingc                   [        U5      nU R                  5       U:X  a  U(       a  [        U 5      $ U $ [        R                  " [
        R                  R	                  XU5      5      $ r   )rD   rj   r  r@   r   r.   r   )r   rr   r  r  s       ra   	to_devicer  I  sM    6"F||~uQx&Q&BMM00LIJJrc   c                    [        XSUS9$ )NTr  )r  )r   rr   r  s      ra   _device_putr  P  s    QTEErc   Tc	                    U=(       d    U R                   n[        U5      n	[        XU5        Ub  [        U5      n[        U	UUUUS9n	[	        U UUUS9" U	5      n	[        [        U5      (       a  [	        [        [        U5      SUS9" U	5        U	$ )z3A pointwise function that maps ops.{name} to inputsN)rE  r]  rj  rl  )r   r   r  )r   r  )__name__r:   rK   ro  r%  r   r  r   )
r   r   r   r   r  rE  r]  rj  rl  r{   s
             ra   register_pointwiser  U  s     #7##D	T	B'#8 #.&12M&N#	
3$?'
B 
/3	

 	

B udE4  $"7	
 		
 Irc   c                 2  ^^ Sn [        S5      mU4S jnU4S jn[        U5      [        U[        R                  S9/mU4S jn[	        [
        R                  5      " U5      n[        [        U 5      (       a  [	        [        [        U 5      SS9" U5        U$ )z2A pointwise function that maps ops.frexp to inputsfrexpc                    > T" U 0 UD6S   $ Nr   r   rp   r   r  s     ra   frexp0register_frexp.<locals>.frexp0      d%f%a((rc   c                    > T" U 0 UD6S   $ Nr+   r   r  s     ra   frexp1register_frexp.<locals>.frexp1  r  rc   r  c                 0   > TS   " U 0 UD6TS   " U 0 UD64$ Nr   r+   r   )rp   r   pw_fnss     ra   r{   register_frexp.<locals>.fn  s*    ay$)&)6!9d+Ef+EEErc   Nr  )
r:   ro  rw   int32r%  r  r  r   r  r   )r   r  r  r{   r  r  s       @@ra   register_frexpr    s    D E)) 	vvU[[AF
F 





B udE4  $	
 	 Irc   c                .    [        XS9n[        X5      nU$ )Nrj  )r  r  )r   pointwise_lowering_fnrj  r{   s       ra   register_foreach_pointwiser    s    
 
  5	OB	#G	0BIrc   )r   r   c           
     *   S n[        U[        [        45      (       a  [        U5      " U5      n[        U[        [        45      (       a  [        U5      " U5      nXU/n[	        US   US   [
        R                  S9n[        U5       VVs/ s H  u  pg[        U[        5      (       d  M  UPM      nnn[        U[        U Vs/ s H  odU   PM	     sn6 5       H	  u  pgXtU'   M     [        [        U5      5       H]  n[        XF   [        R                  5      (       d  M&  [        R                   " XF   [#        XHS      R%                  5       5      5      XF'   M_     ['        X5S9" US   [)        US   U5      [)        US   U5      5      $ s  snnf s  snf )Nc                 (    [         R                  " U 6 $ r   )rO   whererp   s    ra   r{   where.<locals>.fn  s    yy$rc   r+   r)   r  r   r  )rg   r6  r   constant_liker   r   rA  rf   r@   r   r   r   r   r.   r   r4   r   re   r   ro  r   )	r   r   r0  r{   rp   r   ro   r   indicess	            ra   r  r    sX     !eS\""!Q!eS\""!QQ<DQa.M.U.UE 't_I_TQ
1i0Hq_GIG.'0J'Qa'0JKLQ M3t9dgr{{++ ''d1:6F6O6O6Q1RSDG  ":Q$q'5)8DGU+C  J0Js   F
,F
Fc                    [        U 5      S:X  a)  [        U S   [        [        45      (       a  [	        U S   6 $ [
        R                  " [        U  Vs/ s H  oR                  5       PM     sn/ 5      n/ nU  Hg  nUR                  5       n[        U5      [        U5      :w  d   [        S [        XB5       5       5      (       a  [        X5      nUR                  U5        Mi     U$ s  snf )Nr+   r   c              3     #    U  HZ  u  p[         R                  R                  R                  U5      [         R                  R                  R                  U5      :g  v   M\     g 7fr   )rP   rY   r   r,  r   r   r0  s      ra   r   $broadcast_tensors.<locals>.<genexpr>  sM      ,
 + GG11!4ww44Q78*s   A"A$)r   rg   re   r   r   r  reducer3  r   r  r   r.  rk   )rD  r   r]   r  sizess        ra   r   r     s    
6{aJvay4-@@ &),,(//!&#A&QJJL&#A2 F G

u:V$ ,
 E*,
 )
 )

 q!Aq  N $Bs   C$
c                    U $ r   r   r   s    ra   nopr    s    Hrc   
lift_freshc                   [        U [        5      (       d   eUc)  [        [        R                  " U R                  5      5      $ [        U[
        [        R                  45      (       a)  [        R                  R                  R                  U5      O[        S U 5       5      n[        [        U R                  5       5      U5      n[!        [        U[        5      (       d  U4OU5      n/ n[#        U R                  5       5       H`  u  pEXB;   aE  [        R                  R                  R%                  [        R&                  " US5      5      (       a  MO  UR)                  U5        Mb     X0R                  5       :w  a  [+        X5      $ U $ )Nc              3  t   #    U  H.  n[         R                  R                  R                  U5      v   M0     g 7fr   )rP   rY   r   	guard_intr   ds     ra   r   squeeze.<locals>.<genexpr>  s(     >#Q177##--a00#s   68r+   )rg   r@   r?   r   ri   r   r   r   rP   rY   r   r  r   r   r   r   r$   rf   guard_or_falseEqrk   r  )r   r   dims	new_shaper  r   s         ra   squeezer    s   a####
{++AFF344 cC,-- 	
""3'>#>> 
 C

-s
3CJsE$:$:sfDDI!**,'	agg..==ehhq!nMMQ (
 "+jjl!:4AArc   c                *    [        [        X5      5      $ r   )r  r  )r   r   s     ra   squeeze_copyr    s    !!rc   c                    [        X5      n[        U [        5      (       d   e[        U[        5      (       d   eUR                  U l        U $ r   )r  rg   r@   ri   r   r   vals      ra   squeeze_r    sA    
!/Ca####c9%%%%XXAFHrc   c                    [        U 5      (       a  [        U S[        R                  S9$ [	        S5      n[        U[        R                  S9" U 5      $ )NFr   isinfr  r   	full_likerw   r   r:   ro  r   r{   s     ra   r  r  
  @    qE44	W	B"EJJ?BBrc   c                    [        U 5      (       a  [        U S[        R                  S9$ [	        S5      n[        U[        R                  S9" U 5      $ )NFr   isnanr  r   r  s     ra   r  r    r  rc   c                p    [        U 5      (       a  [        U 5      $ [        S5      n[        U5      " U 5      $ )Nceilr   r  r:   ro  r  s     ra   r  r    s0    qQx	V	B"a  rc   c                p    [        U 5      (       a  [        U 5      $ [        S5      n[        U5      " U 5      $ )Nfloorr  r  s     ra   r
  r
  "  0    qQx	W	B"a  rc   c                p    [        U 5      (       a  [        U 5      $ [        S5      n[        U5      " U 5      $ )Nroundr  r  s     ra   r  r  *  s0    qQx!b!!$$rc   c                p    [        U 5      (       a  [        U 5      $ [        S5      n[        U5      " U 5      $ )Ntruncr  r  s     ra   r  r  3  r  rc   c                *   [        U /5      u  n [        U [        R                  5      (       a   [        R
                  " U [        U5      5      $ [        U [        5      (       d   e[        U[        [        45      (       d   e[        U R                  5       5      [        U5      :X  a  U $ [        U R                  5       5      (       d  [        R                  R                  R                  [        U R                  5       5      5      nUS:  aT  [        U5      (       dD  U R!                  [        R                  R                  R                  [        U5      5      U-  5        [        [        R
                  " U R"                  [        U5      5      5      $ r  )rG  rg   r.   rd  r4   r   r   r@   re   r   r!   rP   rY   r   r   rM   
mark_reuseri   )r   r  x_size_products      ra   r.  r.  ;  s   aS!DQ!R__%%  E%L11a####edE]++++QZZ\eEl* ..))<<!**,'
 A&;E&B&BLL  33M%4HI!" Z&&qvvuU|<==rc   c                    [        U5      nU H  nSX4'   M	     U n[        U5       H  u  pgUS:w  d  M  [        XV5      nM     [        XQ5      $ NrP  )re   rf   	unsqueezer.  )r   shapebroadcast_dimensionsr   broadcast_dimensionr  idxr   s           ra   broadcast_in_dimr  V  sS    UA3!#  4 	
AA,7!!A  !rc   c                4    [        XR                  5       5      $ r   )r.  r   )r   r2  s     ra   	expand_asr  d  s    !ZZ\""rc   c                  ^^^ [        U R                  5       5      m[        T5      [        T5      :  aK  [        R                  R
                  /[        T5      [        T5      -
  -  T-   m[        U [        T5      5      n [        T5      [        U R                  5       5      :X  d   e[        U R                  5       5      nSn[        [        T5      5       H  nTU   S:X  a  SnX$   TU   -  X$'   M     U(       a&  [        X R                  5       U R                  5       S9$ [        S [        TT5       5       5      (       a  [        [        X5      5      $ UUU4S jn[        T5      (       d  [        U5      (       d|  [         R"                  R$                  R'                  [)        T5      5      nUS:  aD  U R+                  [         R"                  R$                  R'                  [)        U5      5      U-  5        U R-                  5       m[.        R0                  " U R                  5       U R                  5       U[        U5      S9$ )NFr   Tr   rr   c              3  H   #    U  H  u  pUS :H  =(       d    US :H  v   M     g7fr+   Nr   r  s      ra   r   repeat.<locals>.<genexpr>{  s$     
A*@$!AFa1f*@s    "c                   > [        U 5      [        T5      :X  d   e[        U 5      n [        [        T5      5       HI  nTU   S:w  d  M  TU   S:X  a  [        R                  R
                  X'   M5  [        X   STU   5      X'   MK     T" U 5      $ r  )r   re   r   r   r*  Zeror(   )r<  ro   old_sizerepeatsx_loaders     ra   r_  repeat.<locals>.inner_fn  s}    5zS\)))Us7|$AqzQA;!#$ww||EH.uxHQKHEH % rc   ra  )re   r   r   r   r*  r+  r  r   emptyr   rj   r  r   r  r.  r!   rP   rY   r   r   rM   r  rc  r<   r   )	r   r%  new_sizezero_tensorro   r_  old_size_productr$  r&  s	    `     @@ra   repeatr,  i  s   AJJL!H
7|c(m#GGKK=CL3x=$@AHLDN#w<3qzz|,,,,AJJL!HK3w< 1:?KkGAJ. !
 X[[]1<<>JJ

A#gx*@
AAAVA())	 !**3H3R3R77++>>}X?VWa LL  33M(4KL#$
 }}H||~kkmH~	 rc   c                V    [        [        R                  " U R                  U5      5      $ r   )r@   rB   r   ri   )r   r  s     ra   r  r    s     T[[/00rc   c                    [        U [        5      (       d   e[        U[        [        45      (       d   e[        [        R
                  " U R                  [        U5      5      5      $ r   )rg   r@   re   r   r;   r   ri   )r   r  s     ra   permuter/    sL    a####dT5M****[''d<==rc   c                    [        U [        5      (       d   e[        XS5      n[        [        R                  R                  U R                  XX4US95      $ )Nr   clamp)rg   r@   _validate_dimr.   	SliceViewr   ri   )r   r   startendstepr2  s         ra   slice_r8    sH    a####

"CR\\((Se(TUUrc   c                   [        U [        5      (       aC  [        U R                  [        R                  5      (       a  U R                  R                  5       n U R                  5         [        R                  " U 5      (       d  [        SU  S35      e[        R                  " U 5      u  pE[        R                  " UR                  UR                  U Vs/ s H  n[        R                  " U5      PM     snU Vs/ s H  n[        R                  " U5      PM     sn[        R                  " U=(       d    S5      5      n[        [        R                  " XGS95      $ s  snf s  snf )Nzunrealized as_strided(z, ...)r   ri   layout)rg   r@   ri   r.   r2   unwrap_viewry  is_storage_and_layoutr   as_storage_and_layoutFixedLayoutrr   r   r   r.  r   )r   r   stridestorage_offsetstorage
old_layoutr   
new_layouts           ra   
as_stridedrE    s    !YJqvvr{{$C$CFF IIK##A&&!$:1#V"DEE2215G"&'$Qa$'"()&Qa&)^(q)J R''WHII	 	()s    E; E"c                j    [        U [        5      (       d   e[        XX#5      R                  U l        U $ r   )rg   r@   rE  ri   )r   r   r@  rA  s       ra   as_strided_rG    s.    a####8==AFHrc   c                0    [        XX#5      n[        U5      $ r   )rE  r  )r   r   r@  rA  results        ra   as_strided_copyrJ    s    8F=rc   c                  ^ ^^^ / mSnT  H1  nTR                  X"UR                  5       T   -   45        TS   S   nM3     T  Vs/ s H  o3R                  5       PM     snmUU UU4S jn[        T S   R                  5       5      nTS   S   UT'   [        R
                  " T S   R                  5       T S   R                  5       UUS9$ s  snf )Nr   rP  c           	       >^
^ [         R                  " U T   [        R                  5      n/ n/ n[	        [        T5      5       GHH  m
T
S:X  a%  [         R                  " S[        R                  5      O*[         R                  " TT
   S   [        R                  5      n[         R                  " TT
   S   [        R                  5      n[         R                  " X5      n[         R                  " X5      nT
S:X  a  UnO+T
[        T5      S-
  :X  a  UnO[         R                  " Xg5      nUR                  U5        [        U 5      m[        TT   TT
   S   -
  5      TT'   UR                  [         R                  " UU
UU4S jS5      5        GMK     US   n	[	        [        T5      S-
  SS5       H!  m
[         R                  " UT
   UT
   U	5      n	M#     U	$ )Nr   r+   c                    > TT    " T5      $ r   r   )ro   idx_loadinputs_loaderss   ra   <lambda>1pointwise_cat.<locals>.inner_fn.<locals>.<lambda>  s    N1-h7rc           rP  r)   )rO   
index_exprrw   int64r   r   constantgeltand_rk   re   r'   maskedr  )r  idx_dimmasksmasked_loadsr5  r6  
start_condend_condmasknext_valro   rN  r   rD  rO  inputs_rangess             @@ra   r_  pointwise_cat.<locals>.inner_fn  s   ..S5;;7s6{#A 6 Q,^^M!$4Q$7E 
 ..q!1!!4ekkBC/Jvvg+HAvc&kAo%!xx
5LLCyH %Xc]]15Ea5H%HIHSM

75 $D  #Fq("b1AyyaQH 2 rc   ra  )rk   r   rc  re   r<   r   rj   r   )rD  r   prev_endr   r_  r)  rO  ra  s   ``    @@ra   pointwise_catrd    s    9;MHh3<<>#3F(FGH $R(  4::6Coo'6:N. .` F1I&&()H!"%b)HSMay##%Qi!!#	 k ;s   C	c           	       ^^^^^^^^	^
 [        TR                  5       5      S:X  d   S5       e[        TR                  5       5      S:X  d   S5       eU R                  5       [        R                  :X  a  [        U [        R                  5      n U R                  5       [        R                  :X  d   SU R                  5        35       eT[        U R                  5       5      :  d!   S[        U R                  5       5       35       eU R                  5       mTR                  5       m	TR                  5       m
UUUUUUU	UU
4	S jn[        R                  " U R                  5       TUU R                  5       S9$ )Nr+   expect scales 1 dimexpect zero_points 1 dim<Expecting input to have dtype torch.float32, but got dtype: Expecting axis to be < c                h  >	 U T
   4nT" U 5      nT" U5      nT" U5      n[        TT[        R                  S9u  pVTR                  [        R                  :w  a%  [        R
                  " U[        R                  5      nTR                  [        R                  :w  a%  [        R
                  " U[        R                  5      n[        R                  " U5      n[        R                  " X'-  5      U-   n[        R                  " U[        R                  " Xh5      5      n	[        R
                  " U	T5      $ Nr   )_create_constantsrw   float32r   rO   r   r  
reciprocalr  maximumminimum)r  channel_idxr~  scale
zero_pointqminqmax	inv_scaler  clampedaxisr   input_loader	quant_max	quant_minscalesscales_loaderzero_pointszero_points_loaders             ra   r_  ;quantized_decomposed_quantize_per_channel.<locals>.inner_fn2  s    4ylS!k*'4
&y)5==Q
<<5==(LL6E+j%++>JNN5)	ii)*Z7++dCKK$:;||GU++rc   ra  )r   r   r   rw   re  r   rm  rc  r<   r   rj   )r~  r|  r~  rx  r{  rz  r   r_  ry  r}  r  s    `````` @@@ra   )quantized_decomposed_quantize_per_channelr    s?    v !Q&=(==&{##%&!+G-GG+ENN*.??- 
FuGXFYZ- #enn&'' 
!#enn&6"7!89' $$&L&&(M$002, ," !~~	 rc   c           	        ^ ^ T R                  5         [        T [        R                  5      m U U4S jn[        R
                  " T R                  5       T R                  5       U[        T R                  5       5      S9nUR                  5         U$ )Nc                   > [         R                  R                  5          [        R                  " TR                  5       " U 5      T5      sS S S 5        $ ! , (       d  f       g = fr   )r.   ComputedBufferforce_realizerO   device_assert_asyncrc  )r<  r   r   s    ra   r_  _assert_async.<locals>.inner_fnO  s?    ,,.**4+;+;+=e+DcJ /..s   +A
A#ra  )
ry  r   rw   r   r<   r   rj   r   re   r   )r   r   r_  assertion_ops   ``  ra   _assert_asyncr  K  sm    LLND%**%DK ## nnDMMO$	L rc   c                    [        X5      $ r   r  r   s     ra   lower_assert_asyncr  ]      ##rc   c                    [        X5      $ r   r  r   s     ra   lower_assert_functional_asyncr  b  r  rc   )	out_dtypec               ~  ^^^^^	^
^ [        TR                  5       5      S:X  d   S5       e[        TR                  5       5      S:X  d   S5       eU R                  5       U:X  d   SU SU R                  5        35       eT[        U R                  5       5      :  d!   S[        U R                  5       5       35       eTc  [        R                  mU R                  5       m	TR                  5       m
TR                  5       mUU	UUU
UU4S jn[        R                  " U R                  5       TUU R                  5       S9$ )	Nr+   rf  rg  Expecting input to have dtype , but got dtype: ri  c                  > U T   4nT" U 5      nT
" U5      nT" U5      nT	R                   [        R                  :w  a%  [        R                  " U[        R                  5      nTR                   [        R                  :w  a%  [        R                  " U[        R                  5      n[        R
                  " [        R                  " U[        R                  5      U5      U-  n[        R                  " UT5      nU$ r   )r   rw   rm  rO   r   sub)r  rq  r~  rr  rs  r  rx  ry  r  r|  r}  r~  r  s         ra   r_  =quantized_decomposed_dequantize_per_channel.<locals>.inner_fn  s    4ylS!k*'4
<<5==(LL6E-j%--@Jggcll5%--8*EMll3	*
rc   ra  	r   r   r   rw   rm  rc  r<   r   rj   )r~  r|  r~  rx  r{  rz  r   r  r_  ry  r}  r  s    ```   ` @@@ra   +quantized_decomposed_dequantize_per_channelr  g  s-    v !Q&=(==&{##%&!+G-GG+??% 
(/@AR@ST% #enn&'' 
!#enn&6"7!89' MM	$$&L&&(M$002  !~~	 rc   c                  ^^^^ U R                  5       [        R                  :X  a  [        U [        R                  5      n U R                  5       [        R                  :X  d   SU R                  5        35       eU R                  5       mUUUU4S jn[        R                  " U R                  5       T[        R                  " U[        U5      [        U5      S9U R                  5       S9$ )Nrh  c                @  > T
" U 5      n[        SU-  U[        R                  S9u  pB[        R                  " X4-  5      U-   n[        TT[        R                  S9u  pg[        R
                  " [        R                  " XV5      U5      n[        R                  " UT	5      $ )N      ?r   )rl  rw   rm  rO   r  rp  ro  r   )r  rr  rs  r~  rv  r  rt  ru  rw  r   ry  rz  r{  s            ra   r_  Bquantized_decomposed_quantize_per_tensor_default.<locals>.inner_fn  s    S! 1%K5==!
	 ii)*Z7&y)5==Q
++ckk#4d;||GU++rc   rr  rs  ra  )r   rw   re  r   rm  rc  r<   r   rj   r  r$  r6  r   r   )r~  rr  rs  r{  rz  r   r_  ry  s      ``` @ra   0quantized_decomposed_quantize_per_tensor_defaultr    s     ENN*.??- 
FuGXFYZ- $$&L, , !""E%LS_
 ~~ rc   c               j  ^^ U R                  5       U:X  d   SU SU R                  5        35       eTc  [        R                  mU R                  5       mUU4S jn[        R
                  " U R                  5       T[        R                  " U[        U5      [        U5      S9U R                  5       S9$ )Nr  r  c                   > T" U 5      n[        X[        R                  S9u  p[        R                  " [        R
                  " U[        R                  5      U5      U-  n[        R
                  " UT5      nU$ rk  )rl  rw   rm  rO   r  r   )r  rr  rs  r~  r  ry  r  s        ra   r_  Dquantized_decomposed_dequantize_per_tensor_default.<locals>.inner_fn  sY    S!-eu}}Uggcll5%--8*EMll3	*
rc   r  ra  )r   rw   rm  rc  r<   r   rj   r  r$  r6  r   r   )	r~  rr  rs  r{  rz  r   r  r_  ry  s	         ` @ra   2quantized_decomposed_dequantize_per_tensor_defaultr    s     ??% 
(/@AR@ST% MM	$$&L !""E%LS_
 ~~ rc   c                >  ^^^^^^^^	 U R                  5       [        R                  :X  a  [        U [        R                  5      n U R                  5       [        R                  :X  d   SU R                  5        35       e[        TR                  5       5      S:X  d;  [        TR                  5       5      S:X  a  TR                  5       S   S:X  d   S5       e[        TR                  5       5      S:X  d;  [        TR                  5       5      S:X  a  TR                  5       S   S:X  d   S5       eU R                  5       mTR                  5       mTR                  5       m	UUUUUUUU	4S jn[        R                  " U R                  5       TUU R                  5       S9$ )Nrh  r   r+   expect scale as scalar tensor"expect zero_point as scalar tensorc                  > T	" U 5      nT" [        TR                  5       5      S:X  a  SOS5      nT" [        TR                  5       5      S:X  a  SOS5      nTR                  [        R                  :w  a%  [
        R                  " U[        R                  5      nTR                  [        R                  :w  a%  [
        R                  " U[        R                  5      n[
        R                  " U[
        R                  " U5      -  5      U-   n[        TT
[        R                  S9u  pV[
        R                  " [
        R                  " XE5      U5      n[
        R                  " UT5      $ )Nr+   r   r   r   )r   r   r   rw   rm  rO   r   r  rn  rl  rp  ro  )r  r~  _scale_zero_pointr  rt  ru  rw  r   ry  rz  r{  rr  scale_loaderrs  zero_point_loaders           ra   r_  Aquantized_decomposed_quantize_per_tensor_tensor.<locals>.inner_fn  s    S!c%..*:&;q&@dbI'ENN4D0E0JPRS;;%--'\\&%--8Fu}},,,{EMMBKiiv 667+E&y)5==Q
++ckk#4d;||GU++rc   ra  )r   rw   re  r   rm  r   r   rc  r<   r   rj   )
r~  rr  rs  r{  rz  r   r_  ry  r  r  s
    ````` @@@ra   /quantized_decomposed_quantize_per_tensor_tensorr    sf    ENN*.??- 
FuGXFYZ- u~~ A%ENN"u~~'7':a'?'&'  z""$%*J!"a'J,?,?,A!,D,I,+,  $$&L$$&L"..0, , !~~	 rc   c                 ^^^^^	^
 [        TR                  5       5      S:X  d;  [        TR                  5       5      S:X  a  TR                  5       S   S:X  d   S5       e[        TR                  5       5      S:X  d;  [        TR                  5       5      S:X  a  TR                  5       S   S:X  d   S5       eU R                  5       U:X  d   SU SU R                  5        35       eTc  [        R                  mU R                  5       mTR                  5       m	TR                  5       m
UUUU	UU
4S jn[        R                  " U R                  5       TUU R                  5       S9$ )	Nr   r+   r  r  r  r  c                h  > T" U 5      nT" [        TR                  5       5      S:X  a  SOS5      nT
" [        TR                  5       5      S:X  a  SOS5      nTR                  [        R                  :w  a%  [
        R                  " U[        R                  5      nT	R                  [        R                  :w  a%  [
        R                  " U[        R                  5      n[
        R                  " [
        R                  " U[        R                  5      U5      U-  n[
        R                  " UT5      nU$ )Nr+   r  r   )r   r   r   rw   rm  rO   r   r  )r  r~  r  r  r  ry  r  rr  r  rs  r  s        ra   r_  Cquantized_decomposed_dequantize_per_tensor_tensor.<locals>.inner_fn8  s    S!c%..*:&;q&@dbI'ENN4D0E0JPRS;;%--'\\&%--8Fu}},,,{EMMBKggcll5%--8+FOll3	*
rc   ra  r  )r~  rr  rs  r{  rz  r   r  r_  ry  r  r  s    ``   ` @@@ra   1quantized_decomposed_dequantize_per_tensor_tensorr    sU    u~~ A%ENN"u~~'7':a'?'&'  z""$%*J!"a'J,?,?,A!,D,I,+,  ??% 
(/@AR@ST% MM	$$&L$$&L"..0
 
 !~~	 rc   c                |  ^^^^^^^ U S   R                  5       R                  S:H  nU(       a  [        S U  5       5      (       au  U  H  nUR                  5         M     [        S U  5       5      (       a  [	        [
        R                  /U Q76 u  p[        [
        R                  R                  5      " X5      $ [        U 5      S:X  a  [        U S   5      $ [        U S   US5      n[        U S[        R                  06nU  Vs/ s H  n[        Xe5      PM     n nSS jmS mUUU4S	 jm[!        U4S
 jU  5       5      nSUU4S jjm["        R$                  (       a  ['        X5      $ U(       a(  [)        [*        R,                  R/                  X5      5      $ UU4S jmSnSmSS jm[        U 5      U::  d8  [        U 5      ["        R0                  ::  a  [        UU4S jU  5       5      (       a  [        U4S j[2        R4                  R6                   5       5      n	[!        U4S jU  5       5      =(       a    U	n
[        U4S jU  5       5      =(       a    [!        U4S jU  5       5      (       + nU
(       d  U(       a  U(       d  ['        X5      $ [)        [*        R,                  R/                  X5      5      $ s  snf )Nr   r   c              3     #    U  H5  oR                  5       [        R                  [        R                  4;   v   M7     g 7fr   )r   rw   int8uint8r   r~  s     ra   r   cat.<locals>.<genexpr>O  s*      DJ5ejj%++66Fs   =?c              3  Z   #    U  H!  n[        UR                  5       5      S :H  v   M#     g7f)r   N)r   r   r  s     ra   r   r  V  s!     >ves5>>#$)vs   )+r+   r   c                $   [        U [        5      (       aO  [        U R                  [        R                  5      (       a  U R                  R                  5       $ U R                  $ [        U [        R                  5      (       a  U R                  $ U $ r   )rg   r@   ri   r.   r2   r<  r   r   s    ra   unwrap_tensorcat.<locals>.unwrap_tensorc  s_    a##!&&"++..vv))++vva''66Mrc   c                    [        U [        R                  5      =(       a$    [        U R                  [        R                  5      $ r   )rg   r.   r  ri   r=   )rs   s    ra   is_reductioncat.<locals>.is_reductiono  s)    !R../TJqvvr||4TTrc   c                  > [        U [        [        R                  45      (       a  T" T" U 5      5      $ T" U 5      =(       dD    [        U [        R                  5      =(       a#    [        U4S jU R                  5        5       5      $ )Nc              3  n   >#    U  H*  nT" [         R                  R                  U5      5      v   M,     g 7fr   )rP   rY   
get_buffer)r   readcan_fuse_reductions     ra   r   2cat.<locals>.can_fuse_reduction.<locals>.<genexpr>x  s/      .D #177#5#5d#;<<.s   25)rg   r@   r.   r   r<   r  get_read_names)rs   r  r  r  s    ra   r  cat.<locals>.can_fuse_reductionr  sk    a)R]]344%mA&677O !R\\*  ,,. 	
rc   c              3  4   >#    U  H  nT" U5      v   M     g 7fr   r   r   rs   r  s     ra   r   r    s     B6a.q116   c                X  > [         R                  " U 5      (       a;  [         R                  " U SS9u  p[         R                  R	                  U5      (       + $ [        U [        [         R                  45      (       a  T" T" U 5      5      $ [        U [         R                  5      (       a  gg)NF)freezeT)	r.   r=  r>  ConcatKernelcan_realize_into_without_copyrg   r@   r   r<   )r   rB  r   should_lower_cat_inputr  s      ra   r  #cat.<locals>.should_lower_cat_input  s     ##A&&11!EBJGDDWMMMa)R]]344)-*:;;a&&rc   c                `  > [        U [        [        R                  45      (       a  T" T" U 5      5      $ [        U [        R                  5      (       d  gU R                  5       R                  nU R                  5        H+  nUT" [        R                  R                  U5      5      -  nM-     U$ r  )rg   r@   r.   r   r<   inner_fn_opcountnum_opsr  rP   rY   r  )r   countr  op_countr  s      ra   r  cat.<locals>.op_count  s    a)R]]344M!,-- !R\\**""$,,$$&DXagg00677E ' rc   r   r)   c                p    U [         R                  R                  [         R                  R                  4;   $ r   )r  catr  constant_pad_ndr\   s    ra   additional_pointwise_ops%cat.<locals>.additional_pointwise_ops  s(    dhh&&(<(<(D(DEEErc   c              3  :   >#    U  H  nT" U5      T:*  v   M     g 7fr   r   )r   rs   MAX_SIMPLE_OP_COUNTr  s     ra   r   r    s     CFq22F   c              3  <   >#    U  H  n[        UT5      v   M     g 7fr   )rG   )r   user  s     ra   r   r    s#      
+ S":;;+r   c              3  4   >#    U  H  nT" U5      v   M     g 7fr   r   r   r   r  s     ra   r   r    s     >v&s++vr  c              3  4   >#    U  H  nT" U5      v   M     g 7fr   r   r  s     ra   r   r    s      "
39C"3''6r  c              3  4   >#    U  H  nT" U5      v   M     g 7fr   r   r  s     ra   r   r    s     <V(++Vr  )r   zUnion[TensorBox, ir.StorageBox]return	ir.IRNode)r  r   r\   torch._ops.OpOverload)rj   r   r  ry  require_channels_lastr  r  r  r  r   r  r3  r   r   rA  r   r  r,   force_pointwise_catrd  r@   r.   r  r   max_pointwise_cat_inputsrP   rZ   r[   )rD  r   
cpu_devicer~  r   r   r   fusable_reductionMAX_COMPLEX_POINTWISE_CATpointwise_usesfuse_pointwise_usehorizontal_fuse_catr  r  r  r  r  r  r  s               @@@@@@@ra   r  r  L  sD   %%',,5Jc DJ  
 EMMO >v>>>-dhh@@IF 0 01&>>
6{aVAY
q	3
*C	%D%L%LE /55fshs"fF5
U

 B6BB  !!V)) //<==$ !"F 6{//	V77	7CFCCC 
~~++
 
 >v>>Q> 	 " "
39"
 
 =<V<<< 	 "5>O --R__++F899K 6s   J9c                  ^^^
^^ U R                  5       m[        T5      m[        TTS9m[        TTS9m[        TT:g  UU4S j5        [        R
                  R                  R                  [        R                  " US5      5      nU(       a\  [        R
                  R                  R                  [        R
                  R                  R                  TT   U-   TT   5      S5      nO[[        R
                  R                  R                  [        R
                  R                  R                  TT   TT   U-
  5      S5      nSm
U(       a  U* S4m
OSU4m
[        T5       VVs/ s H  u  pgUTT4;  d  M  UPM     nnnUR                  U5        U
UUUU4S jn	[        [        R                   R#                  XU	5      5      $ s  snnf )N)r  rankc                    > ST  ST 3$ )Nz(diagonal dimensions cannot be identical z, r   )dim1dim2s   ra   rP  diagonal.<locals>.<lambda>  s     HbQUPVWrc   r   )r   r   c                   > U S   nS/[        T	5      -  nSn[        T5       H2  nUT:X  a  UTS   -   X$'   M  UT:X  a  UTS   -   X$'   M'  X   X$'   US-  nM4     U[        T	5      S-
  :X  d   eU$ )NrP  r   r+   r)   )r   r   )
r  diag_idxoriginal_idxcur_dimr  base_idxr  r  num_dimsoriginal_shapes
        ra   	reindexerdiagonal.<locals>.reindexer  s    r7sS00xADy"*Xa["8d"*Xa["8"%,1 ! #n-1111rc   )r   r   r   r   rP   rY   r   evaluate_exprr   Ltevaluate_maxevaluate_minrf   rk   r@   r.   GenericViewr   )r~  offsetr  r  offset_negative	diag_sizero   r   r  r  r  r  r  s     ``      @@@ra   diagonalr	    s   ^^%N>"H84D84D	W gg&&44UXXfa5HIOGG$$11GG))t$v-~d/C 	
	 GG$$11GG))t$nT&:V&C 	
	 HGQ<v;$^4N441$8MQ4EN	LL   R^^**5CDD' Os   &G8Gc                ,    [        [        XX#5      5      $ r   )r  r	  )r~  r  r  r  s       ra   diagonal_copyr     s    %455rc   c                J    [        U 5      n[        XRX45      n[        Xa5        U$ r   )r  r	  	mutate_to)r~  srcr  r  r  r1  r]   s          ra   diagonal_scatterr    s$    5\Ffd1FfMrc   c                0   [         R                  " U5      n[         R                  " U R                  5       U   5      nS n[        R                  R
                  R                  [         R                  " US5      5      (       a  X#-   nOE[        R                  R
                  R                  [         R                  " US5      5      (       a  UnUb|  [        U5      (       aR  U R                  5       nU R                  5       nU R                  5       R                  Xa   U-  -   nXQ	 Xa	 [        XXg5      $ [        XXDS-   5      n[        X5      $ [!        [        R                  R
                  R"                  [        R                  R$                  R&                  S   5      n	U	c   e[)        U	5      S:X  d   U	5       e[+        [-        U	R/                  5       5      5      u  pU R                  5       nU R                  5       nU
n[0        R2                  " U
UU R                  5       R                  Xa   U R                  5       U   5      n[        R                  R5                  U5      Ul        [        R                  R9                  U5        XQ	 Xa	 [        XXg5      $ )Nr   r+   unbacked_bindings)r   r.  r   rP   rY   r   r  r  Ger"   
get_stride
get_layoutr  rE  r8  r  r#   	shape_envrZ   rg  r   rB  iterr   r.   DynamicSelectStorageOffsetregister_bufferr   register_operation)r   r   r  r   actual_indexr)  
new_stridenew_storage_offsetslice_resultr  unbacked_offset_symr   buffers                ra   selectr     s   
,,s
C<<

S)*DLww&&uxxQ'788z	
			(	(#q)9	:	:$S)) zz|HJ!"!6!6<9W!Wa:JJ!!,q8HIL<-- 2	""AGG$8$8$=$=>Q$R ((( !Q&9(99&!$'8'>'>'@"ABzz|HJ,**		

SF ''))&1FKGGv&a:BBrc   c                n   [        XS5      nUn[        U[        [        45      (       d^  U R	                  5       U   n[
        R                  R                  R                  [        XA-   S-
  U5      5      nU/U-  nXES-
  U-  -
  US'   / nSnU H#  nXx-   n	UR                  [        XXySS95        U	nM%     U$ )Nr   r+   rP  Fr1  )r3  rg   re   r   r   rP   rY   r   r  r&   rk   r8  )
r   r  r   sizes_x_sizechunksrI  r5  r   r6  s
             ra   splitr%  G  s    

"CF edE]++c"!!++HV^a5G,OP6!zU22r
 FEl 	fQUu=>  Mrc   c                    [        XU5      $ r   )r%  )r   r  r   s      ra   split_with_sizesr'  b  s    3rc   c                    [        XS5      n[        R                  R                  R	                  U R                  5       U   5      n[        U5       Vs/ s H  n[        XU5      PM     nnU$ s  snf r  )r3  rP   rY   r   r  r   r   r   )r   r   r#  ro   rI  s        ra   unbindr)  g  s\    

"CWW''

S(9:F).v7AfQQF7M 8s   A.c                4  ^^ U R                  5       n[        U5      n[        XQ5      mUS:X  a  [        [	        U S5      US9$ UT   n[
        R                  R                  nUR                  X&5        UR                  ST5        [        Xb-
  T5      S-   nUR                  U5      S:  a,  U R                  UR                  [        X-  U5      5      5        / US T QUPUTS-   S  QUPn	UU4S jn
[        [        R                   R#                  X	U
5      5      $ )Nr   )r6  r+   c                D   > U S   U T   T-  -   n/ U S T QUPU TS-   S Q7$ )NrP  r+   r   )r  dim_idxr   r7  s     ra   r  unfold.<locals>.reindexer  s?    b'CHtO+8Tc8G8c#'B&788rc   )r   r   r   r8  r  rP   rY   r   	check_leqcheck_ltr&   r   r  r%   r@   r.   r  r   )r   	dimensionr   r7  r  ndimdim_sizer   new_dim_sizeout_sizer  r   s      `       @ra   unfoldr5  o  s   JJLEu:D
4
+Cqyi1o400SzHwwHt&aHOT2Q6L""8,q0	''0CX(NO	
 EtDlDU379-=DtDH9 R^^**1	BCCrc   c                    [        XS5      n[        U R                  5       5      nUR                  U[        R
                  R                  5        [        X5      $ r  )r3  re   r   insertr   r*  r+  r  )r   r   r  s      ra   r  r    sA    

"CQZZ\"IS%''++&rc   c                    [        X5      n[        U [        5      (       d   e[        U[        5      (       d   eUR                  U l        U $ r   )r  rg   r@   ri   r  s      ra   
unsqueeze_r9    sB    
A
Ca####c9%%%%XXAFHrc   c                   [         R                  R                  R                  R	                  [
        R                  " U5      5      n[        U R                  5       5      nUS:  a  XU-   -  nSUs=::  a	  X2-   :  d   e   eU$ r  )	rP   rY   r   r  r  r   sympifyr   r   )r   r   r  r1  s       ra   r3  r3    sn    
''


$
$
2
25==3E
FCqzz|D
Qwf}#dm#####Jrc   rP  c                    [        XS5      n[        R                  R                  R	                  U R                  5       U   5      S-  n[        XSU5      n[        XX"S-  5      n[        U[        U5      5      $ )Nr   r)   )	r3  rP   rY   r   r  r   r8  rb  sigmoid)r   r   new_lenr   r0  s        ra   glur?    sg    

"Cgg((c):;q@Gqq'"Aqw!,Aq'!*rc   c                Z   ^  U(       a  [         R                  T 5        U 4S jnSUl        U$ )Nc                 |   > S n[         R                  " U[        R                  R                  " T/U Q70 UD65      $ )Nc                p    [        U [        R                  5      (       a  [        R                  " U 5      $ U $ r   )rg   r.   r6   r@   r   r   s    ra   wrap_tensors7fallback_handler.<locals>.handler.<locals>.wrap_tensors  s(    *4Q		*B*B9##A&IIrc   )pytreetree_mapr.   FallbackKernelr   )rp   r   rC  kernels      ra   handler!fallback_handler.<locals>.handler  s<    	J "++226KDKFK
 	
rc   T)r  r   _is_fallback_handler)rH  r  rI  s   `  ra   r  r    s&    f
 $(G Nrc   c                 0    [         R                  " S5        g )NzjTorchinductor does not support code generation for complex operators. Performance may be worse than eager.)warningswarnr   rc   ra   _warn_complex_not_supportedrO    s    MMtrc   c                   U R                  5       (       a  [        5         gU R                  (       a  gU R                  [        R
                  :X  Ga  U(       d  g[        UR                  [        R                  R                  5      =(       as    UR                  [        R                  R                  [        R                  R                  [        R                  R                  [        R                  R                  4;   =(       dJ    [        UR                  [        R                  R                  5      =(       a    [!        UR                  5      (       + $ g)z0Do not support reading or writing to this tensorTF)r  rO  is_metar   rw   float8_e8m0fnurg   r]   rx   ry   r  r  r  r  r  
_scaled_mmrH   )rs   r_   s     ra   unsupported_input_tensorrT    s    ||~~#%yyww%&&&
 t{{EJJ$9$9: 		  

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

(=(=>W74;;CW

 
	
 rc   c                L   [         R                  R                  [        R                  R
                  R                  R                  4nUb&  UR                  U;   a  U R                  5       (       a  g[        X5      (       a  gU R                  =(       a    [        R                  $ )z2Do not support writing tensor but can read from itFT)r  r  r   rw   rO   r  r  r  r]   r  rT  is_cpur,   disable_cpp_codegen)rs   r_   supported_complex_viewss      ra   unsupported_output_tensorrY    sr     					,,44 DKK+BBq||~~((882222rc   c                ^  ^  T R                   [        R                  R                  L a  gT R                  S:X  a  gT R                   [        R
                  R                  L a  gU 4S jn[        R                  " T R                  0 T R                  D6 H  nU" USS9(       d  M    g   U" T SS9$ )NFplaceholderc                  > [        U [        R                  R                  5      (       d  gSU R                  ;  a  g[
        R                  " U R                  S   5       H]  n[        U[        R                  R                  5      (       d  M.  U(       a  [        UT5      (       a    gMJ  [        UT5      (       d  M]    g   g)NFr  T)rg   rw   fxNoderg  rE  tree_leaves_subclasses
FakeTensorrY  rT  )inp_out_node	is_outputrg  r_   s      ra   check_skip_conditionCfallback_node_due_to_unsupported_type.<locals>.check_skip_condition  s    ,66)))&&|'8'8'?@DdE$5$5$@$@AA,T488 9 ,D$77 A rc   )rc  T)
r]   r  view_as_complexr  r\   lift_fresh_copyrE  arg_tree_leavesrp   r   )r_   allow_cpu_inputsrd  r   s   `   ra   %fallback_node_due_to_unsupported_typerj    s    {{d**222ww- {{d**222* %%tyy@DKK@u55 A  55rc   c                  ^ U [         ;  d  U(       d
   SU  35       eU(       a  [        [        R                  " S5      5      (       a  [	        U /5      (       a  [
        R                  (       a(  U [        R                  R                  R                  ;   ds  U(       dl  [        R                  R
                  R                  (       a4  S[        R                  R
                  l        [        R                  S5        [        SU  S35      eU4S jn[!        U [        R"                  R$                  5      (       a+  U R'                  5        H  n[)        X5      nU" U5        M     g [!        U [        R"                  R*                  [        R"                  R,                  45      (       a	  U" U 5        g [/        SU  S	[1        U 5       35      e)
Nz*both a fallback and a decomp for same op: CIFznA make_fallback error occurred in suppress_errors config, and suppress_errors is being disabled to surface it.zmake_fallback(a.  ): a decomposition exists, we should switch to it. To fix this error, either add a decomposition to core_aten_decompositions (preferred) or inductor_decompositions, and delete the corresponding `make_fallback` line. Get help from the inductor team if unsure, don't pick arbitrarily to unblock yourself.c                j   > [        U 5        Tb  [        U T5        [        U S S9" [        U 5      5      $ Nr  )r   r   r%  r  )op_overloadlayout_constraints    ra   register_fallback(make_fallback.<locals>.register_fallback?  s8    !+.(!+/@A $G[)
 	
rc   zUnsupported fallback z with type )r0   r   osgetenvr1   r,   fallback_randomrw   _decompdecompositions_for_rngextra_random_decomps_dynamosuppress_errorslogwarningr   rg   rx   r   r   r   ry   HigherOrderOperatorRuntimeErrorr   )r\   rp  rN  override_decomprq  olro  s    `     ra   make_fallbackr    sV   ^# 
4RD96 	4!!t$$ ""emm::OOO ==//38EMM  0KKH RD !f f
 	

 "ejj1122,,.B!"/Kk* ! 
B..

0N0NO	P	P"22$k$r(LMMrc   c                P    SnU  H  nX-  nM	     [        U[        R                  S9$ )z
TorchInductor offset calculation differs from PyTorch eager offset
calculation for random ops (tl.rand vs torch.rand). In future, we should
strive for same impl for tl.rand and torch.rand.
r+   r   tensorrw   rT  )r  numelr   s      ra   philox_rand_offsetr  Q  s+     E	 %u{{++rc   c                @  ^^	^
^ [         R                  " UTU [         R                  R                  U 5      5      R	                  5       m
UR                  5       mUR                  5       m	UU	U
U4S jn[        R                  " UTU[        U 5      S9n[        U 5      nXx4$ )Nc                  > [         R                  " T" / 5      [        R                  5      n[         R                  " T" / 5      [        R                  5      n[         R                  " [         R
                  " T" U 5      [        R                  5      U5      n[         R                  " UU5      n[         R                  " UT5      $ r   )rO   r   rw   r  r   rS  rand)	r<  seed_index_exproffset_index_exprrand_index_exprrI  r   offset_loader
random_posseed_loaders	        ra   r_  philox_rand.<locals>.inner_fnj  s     ,,{2DLLr):EKKH''NN:e,ekk:<M
 
 ||FE**rc   ra  )
r.   r?  FlexibleLayoutcontiguous_stridesmake_indexerrc  r<   r   re   r  )r   seedr  r@  rr   r   r_  random_values_nodeoffset_noder  r  r  s        `   @@@ra   philox_randr  ]  s     
,,T2	
 ln  ""$K&&(M+ + #))Dz	 %T*K**rc   c           	         [         R                  (       a\  [        R                  " [        R
                  [        R                  R                  [        R                  R                  XU5      5      $ [        S5      e)Nz&should be handled in replace_random.py)r,   ru  rE  rF  r@   r   r.   rG  r  native_dropoutr  r   )r   ptrains      ra   r  r    sW    $$T%8%8%@%@!N
 	

 EFFrc   c                   [         R                  (       d/  U R                  5       [        R                  " S5      :X  d   S5       eU R                  5         [        U5      S:X  d  [        US   [        5      (       a  [        R                  R                  O[        R                  R                  n[        R                  " X /UQ76   U $ )Nr   Tthis should be handled in decomps unless config.fallback_random or the device is CPUr   )r,   ru  rj   rw   rr   ry  r   rg   r6  r  
bernoulli_Tensorr.   InplaceBernoulliFallback)r   rp   ro  s      ra   r  r    s    !!Q\\^u||E7J%J ^J IIK t9>ZQ77 	__## 
 66Hrc   c                    [         R                  (       d/  U R                  5       [        R                  " S5      :X  d   S5       e[        [        U 5      /UQ76 $ )Nr   r  )r,   ru  rj   rw   rr   r  r  )r   rp   s     ra   bernoulli_pr    sG    !!Q\\^u||E7J%J ^J eAh&&&rc   c                    [         er   r   )r   s    ra   _foobarr    s    
rc   c                .    [         R                  S5        g )Nz1using triton random, expect difference from eager)r{  info)salts    ra   _warn_triton_randomr    s    HH@Arc   c                 J    [        [        R                  R                  5        g r   )r  rP   rY   creation_timer   rc   ra   warn_triton_randomr    s    --.rc   c                     UR                  SS 5      b  [        U 0 UD6$ [        R                  (       a  UR	                  SS 5        [        U 0 UD6$ [        S5      eN	generatorz-should have been handled in replace_random.py)rh  fallback_rand_generatorr,   ru  popfallback_rand_defaultr   rp   r   s     ra   r  r    sV    zz+t$0&777			

;%$d5f55
H
IIrc   c                     UR                  SS 5      b  [        U 0 UD6$ [        R                  (       a  UR	                  SS 5        [        U 0 UD6$ [        S5      er  )rh  fallback_randn_generatorr,   ru  r  fallback_randn_defaultr   r  s     ra   randnr    sV    zz+t$0'888			

;%%t6v66
H
IIrc   c                l    [         R                  " U5      n[         R                  R                  X5      $ r   )r.   get_stride_orderExternKernelrequire_stride_order)input_tensorr@  stride_orders      ra   inductor_force_stride_orderr    s'    &&v.L??//KKrc   c                    [        S5      e)Nz.should be handled in fuse_seed_creation_pass()r  )rr   s    ra   inductor_seedr    s    
I
JJrc   c                ~    [        5         [        R                  " [        R                  " U [        U5      5      5      $ r   )r  r@   r   r.   RandomSeedsrD   )r  rr   s     ra   inductor_seedsr    s)    BNN5-2GHIIrc   c                z   ^ ^ UU 4S jn[         R                  " T R                  5       T R                  5       U/ S9$ )Nc                N   > [         R                  " TR                  5       T5      $ r   )rO   	load_seedget_name)r   r<  seedss    ra   r_  &inductor_lookup_seed.<locals>.inner_fn  s    }}U^^-u55rc   ra  )r<   r   rj   r   )r  r<  r_  s   `` ra   inductor_lookup_seedr    s9    6 !oo	 rc   r  c                 ^^^	 [         R                  (       a   eTS;   d   e/ U Qn [        R                  nUR	                  5       n[
        R                  " XTU [
        R                  R                  U 5      US9R                  5       mUR                  5       m	UUU	4S jn[        R                  " UUU/ U QS9nUR                  5         U$ )N)r  r  r  c                   > [        [        T5      " T" / 5      [        R                  " T" U 5      [        R                  5      5      $ r   )r   rO   rS  rw   r  )r<  moder  r  s    ra   r_  !inductor_random.<locals>.inner_fn  s5    sD!ONN:e,ekk:
 	
rc   ra  )r,   ru  rw   rm  rC  r.   r?  r  r  r  rc  r<   r   ry  )
r   r  r  r  r   rr   r_  rI  r  r  s
     `     @@ra   inductor_randomr    s    %%%%$$$$T7DMME%%'FtR..AA$GPVln  ""$K
 w	F NNMrc   c               h  ^ ^^^	 [         R                  (       a   e/ UQn[        R                  nUR	                  5       n[
        R                  " XeU[
        R                  R                  U5      US9R                  5       mUR                  5       m	UU UU	4S jn[        R                  " UUU/ UQS9$ )Nr  c           	        > [         R                  " T" / 5      [         R                  " T" U 5      [        R                  5      [         R                  " T[        R
                  5      [         R                  " T[        R
                  5      5      $ r   )rO   	randint64rS  rw   r  rT  )r<  highlowr  r  s    ra   r_  "inductor_randint.<locals>.inner_fn	  sV    }}ONN:e,ekk:NN3,NN4-	
 	
rc   ra  )r,   ru  rw   rT  rC  r.   r?  r  r  r  rc  r<   r   )
r  r  r   r  r  r   rr   r_  r  r  s
   ``      @@ra   inductor_randintr  	  s     %%%%T7DKKE%%'FtR..AA$GPVln  ""$K
 
 w	 rc   c                    U R                  5       U R                  5       S   U R                  5       S   U R                  5       S   -  U R                  5       S   4$ NrP  r   )r  r   r  tbs    ra   _boundaries_helperr  (	  sO    

b
a2==?1--
	 rc   c                H    U R                  5       U R                  5       S   4$ r  )r  r  r  s    ra   _sorter_helperr  1	  s    ;;="--/"---rc   	out_int32rightsidesorterc          	     p  ^ ^^^
^ S nU" T 5      (       a  U" U5      (       a  Tb8  U" T5      (       d+  [        [        R                  R                  SS9" T UUTUTS9$ Ub  US:X  a  SmU(       a  [        R
                  O[        R                  m
UR                  5       mT R                  5         Tb  TR                  5         [        T R                  5       5      S:X  a  U
UU UU4S jnO
U
UU UU4S	 jnUR                  5       n[        R                  " UT
UUR                  S
9n	U	R                  5         U	$ )Nc                ^    [         R                  R                  U [        R                  5      $ r   )rP   rY   rv  rw  	BUCKETIZEr  s    ra   rP  searchsorted.<locals>.<lambda>?	  s    AGG$7$7
N$$%rc   Fr  r  r  Tr+   c           
        > T" U 5      n[         R                  " U[        T5      STTTc  S O
[        T5      Tc  S S9$ SS9$ )Nr   r  sorter_indicesrO   	bucketizer  r  )r  r  index_dtyper  sorted_sequencer  values_loaders     ra   r_  searchsorted.<locals>.inner_fnd	  sV    $C=="?3%~t>&3I'-~t  <= rc   c                   >^  T" T 5      nSU U4S jjn[         R                  " U[        T5      U" T5      TTTc  S O
[        T5      Tc  S S9$ U" T5      S9$ )Nc                   > U R                  5       n[        R                  " [        R                  " [
        R                  S [        US S TS S 5       5       5      T5      $ )Nc              3  .   #    U  H  u  pX-  v   M     g 7fr   r   )r   r   ro   s      ra   r   Nsearchsorted.<locals>.inner_fn.<locals>.get_flattened_index.<locals>.<genexpr>{	  s     &U9Tqu9T   rP  )r  rO   rS  r  r  operatorr   r   )r  stridesr  r  s     ra   get_flattened_index;searchsorted.<locals>.inner_fn.<locals>.get_flattened_indexw	  sU    --/~~$$ &UWSb\3sPR89T&U  	 rc   r  )r  r@   r  )r  r  r  r  r  r  r  r  s   `  ra   r_  r  r	  sm    $C  =="?3#O4%~t>&3I'-~t  <Ov;V rc   ra  )r  r  searchsortedr  rw   r  rT  rc  ry  r   r   rj   r<   r   r  )r  selfr  r  r  r  validate_bucketizer_  rr   rI  r  r  s   `  ` `    @@ra   r  r  5	  s    //!$'''9&'A'A 1 1 8 8eT
 	
 DGO!*%++K$$&M 
?##%&!+
	 
		 	0 __Fzz	F NNMrc   r  r  c                 ^^^^ [        TR                  5       5      S:X  d   e[        R                  R	                  U [
        R                  5      (       a3  [        R                  R	                  T[
        R                  5      (       d)  [        [        R                  R                  SS9" U TUTS9$ TR                  5         U R                  5       nU R                  5       mU(       a  [        R                  O[        R                   mUUUU4S jn["        R$                  " UTUU R                  5       S9nUR                  5         U$ )Nr+   Fr  r  c                ^   > T" U 5      n[         R                  " U[        T5      STT5      nU$ r  )rO   r  r  )r<  r  r  
boundariesr  ry  r  s      ra   r_  bucketize.<locals>.inner_fn	  s6    5!--z*
 rc   ra  )r   r   rP   rY   rv  rw  r  r  r  r  r  ry  rj   rc  rw   r  rT  r<   r   )	r~  r   r  r  rr   r_  rI  r  ry  s	    ` `   @@ra   r  r  	  s     z""$%*** 	
E>#;#;<<GG
N,D,DEE 5 55Q:%
 	
 F$$&L!*%++K
 
 ~~	F NNMrc   c                    [         R                  " [        R                  [        R                  R
                  X45      u  pX4$ r   )rE  tree_map_onlyr.   r6   r  require_stride1r   rp   r   s      ra   require_denser  	  s5    ''
		2??22TNLD <rc   c                    [         R                  " [        R                  [        R                  R
                  X45      u  pX4$ r   )rE  r  r.   r6   r  require_contiguousr  s      ra   r  r  	  s5    ''
		2??55~LD <rc   c                    [         R                  " [        R                  [        R                  R
                  X45      u  pX4$ r   )rE  r  r.   r6   r  r   r  s      ra   r   r   	  s7     ''
		2??==~LD <rc   c                    [         R                  " [        R                  [        R                  R
                  X45      u  pX4$ r   )rE  r  r.   r6   r  r  r  s      ra   r  r  	  s5    ''
		2??884.LD <rc   c           	     @   [        U [        R                  5      (       at  UR                  5        Vs/ s H:  n[        U[        R
                  5      (       a  UR                  R                  OUPM<     nn[        R                  R                  X5      $ [        U [        5      (       a/  U R                  5        Vs0 s H  oD[        X   X   5      _M     sn$ [        U [        [        45      (       a!  [        U 5      " S [!        X5       5       5      $ U $ s  snf s  snf )Nc              3  <   #    U  H  u  p[        X5      v   M     g 7fr   constrain_to_fake_tensor)r   r   f_as      ra   r   +constrain_to_fake_tensor.<locals>.<genexpr>	  s      
=O!$Q,,=O   )rg   r.   r6   r@  rw   SymIntr_   exprr  require_exact_stridesr  r  r  r   re   r   r   )r   fake_argr   meta_stride_exprkeys        ra   r  r  	  s    #ryy!!GOGX
GX!:a66AFFKKA=GX 	 
 44SKK#tNQhhj
NXs)#(HMBBj
 	
 
C%	'	'Cy 
=@=O
 
 	
 J


s   AD;Dc           
         [        S [        X5       5       5      n UR                  5        VVs0 s H  u  pEU[        XSU   5      _M     nnnX4$ s  snnf )Nc              3  <   #    U  H  u  p[        X5      v   M     g 7fr   r  )r   r   r  s      ra   r   ,constrain_to_fake_tensors.<locals>.<genexpr>
  s!      1MC 	!//1r  )r   r   r   r  )rp   r   	fake_argsfake_kwargsr   r  s         ra   r   r   
  s[      1 D JPXa)!^<<FX< Ys   Ac           
        ^ U4S jm[        U4S j[        XR                  5       5       5      nUR                  5        VVs0 s H  u  p4UT" X@R                  U   5      _M     nnnX4$ s  snnf )Nc           	       > [        U [        R                  5      (       as  [        R                  " UR                  S   R                  5       [        R                  R                  R                  5      n[        R                  R                  X5      $ [        U [        5      (       a,  U R                  5        Vs0 s H  o3T" X   X   5      _M     sn$ U $ s  snf )Nr  )rg   r.   r6   r  rg  r@  rP   rY   r   r  r  r  r  r  )r   fx_argr  r  apply_constraints       ra   r   1constrain_to_fx_strides.<locals>.apply_constraint
  s    c299%%..E"))+QWW-=-=-G-GL ??77JJc4  LOHHJWJS)#(FK@@JWW
 Xs   ;Cc              3  8   >#    U  H  u  pT" X5      v   M     g 7fr   r   )r   r   r  r   s      ra   r   *constrain_to_fx_strides.<locals>.<genexpr>
  s       9P+#%%9Ps   )r   r   rp   r   r   fx_noderp   r   r   r  r   s        @ra   r   r   
  sl      9<T<<9P D EKLLNSNDAa!!^^A%677NFS< Ts   "A+c                   ^ ^ U 4S jm[        U4S j[        [        UT R                  5      5       5       5      nUR	                  5        VVs0 s H  u  p4UT" SUT R
                  U   5      _M     nnnX4$ s  snnf )Nc           
     P  >^ [        U[        R                  5      (       d  U$ UR                  S   nUR	                  5        Vs/ s H:  n[        U[
        R                  5      (       a  UR                  R                  OUPM<     nn[        R                  " UR	                  5       5      nU(       a=  US   S:w  a4  [        [        [        [        UR                  5       5      5      5      5      nTR                  [         R"                  R$                  :X  a  U S;   a  [        U5      S:X  d   eSnUR&                  (       d  [        R(                  R+                  X5      $ SmTR                  [
        R,                  R                   R.                  R$                  :H  =(       a    U S:H  n[        U[0        5      (       d   e[        UR                  5       5      S	;  a  U$ [        R2                  " UT5      nU(       a4  [        R4                  " [        R(                  R7                  U5      U5      $ [        U[        5      (       aL  UR9                  5       b;  U(       a4  [        R4                  " [        R(                  R7                  U5      U5      $ U(       Ga  [        UR                  5       5      n	/ n
UR9                  5       n[        [        UR                  5       5      S
-
  5       H}  n[:        R<                  R>                  RA                  X\   S5      (       d8  Uc  M9  [:        R<                  R>                  RA                  X   S5      (       d  Ml  U
RC                  U5        M     S/[        U	5      -  nS
US'   S
n[        [        U	5      S-
  SS5       H  nXS
-      S:w  a
  XUS
-      -  nX;   a=  [:        R<                  R>                  RA                  XS
-      T-  S5      (       a  SX'   MZ  [:        R<                  R>                  RA                  UT-  S5      (       d  [E        UT5      T-  nXU'   M     [        R(                  RG                  X5      $ U(       a4  [        R4                  " [        R(                  R7                  U5      U5      $ [        U[        5      (       aL  UR9                  5       b;  U(       a4  [        R4                  " [        R(                  R7                  U5      U5      $ U4S jn[        URH                  [        RJ                  5      (       a\  U" U5      (       dO  U" URM                  5       5      (       a4  [        R4                  " [        R(                  R7                  U5      U5      $ [        R(                  R+                  X5      $ s  snf )Nr  rP  r   )r   r   r   )r   r+   r)   r   r   r   r   r   r+   r)   c                   > [         R                  R                  R                  U R	                  5       S   5      T-  S:H  $ r  )rP   rY   r   	size_hintr   )r   	ALIGNMENTs    ra   
is_aligned=sdpa_constraint.<locals>.apply_constraint.<locals>.is_aligned
  s4    GG$$..qzz|B/?@9LQRRRrc   )'rg   r.   r6   rg  r@  rw   r  r_   r  r  re   r)  r   r   r   r]   r  0_scaled_dot_product_efficient_attention_backwardr  is_cudar  r  rO   '_scaled_dot_product_efficient_attentionr@   is_aligned_realized_tensor_hinttry_match_insignificant_stridesrealize_inputmaybe_get_striderP   rY   r   statically_known_equalsrk   rC   r  ri   r2   r<  )r  r   r  meta_valr   r  r  effn_attn_fwd_biasis_aligned_tensorr4  expanded_dimsmaybe_stridero   out_stridesr@  r,  r+  r%  s                   @ra   r   )sdpa_constraint.<locals>.apply_constraint!
  s}   #ryy))J;;u%GOGX
GX!:a66AFFKKA=GX 	 
 **8??+<=L,1s3<<>/B)C DEL NNDDLLMv|$)))
 (L??77JJ 	 NNyy~~EEMMN q 	 #y))))s||~f,J>>sIN55--c24D 
 sF##$$&2!55--c24D  CLLN+HM //1L3s||~.2377##;;<L<OQRSS ,((@@RSTT!((+ 4 $X.KKOF3x=1,b"51u%*#q1uo5F %ww''??#E*Y6  *+ ww''??@RTUVV$VY7)CF!'A! 6$ ??88JJ55--c24D 
 sF##$$&2!55--c24D 	S chh,,c??coo/00==55c:<L  33CFFk
s   AV#c              3  @   >#    U  H  u  nu  p#T" XU5      v   M     g 7fr   r   )r   r  r   r  r   s       ra   r   "sdpa_constraint.<locals>.<genexpr>
  s)      "DC# 	6**"Ds   rP  )r   rf   r   rp   r   r   r$  s   `    @ra   sdpa_constraintr?  
  sz    zGx  "+Cgll,C"D D IOWa!"a):;;FW< Xs   $A8)rN  )r  c                   UnU R                  5       UR                  5       :w  a  [        X0R                  5       5      nU R                  5       UR                  5       :w  a  [        X0R                  5       5      nU R	                  5       UR	                  5       :w  a$  [        X0R	                  5       5      n[        U5      $ [        U5      $ r   )rj   r  r   r   r   r.  r  )r  r  r  r   rm   s        ra   r  r  z  s    ACNN,,a*+~~3==?*Q()}}#,,.(Q(Sz8Orc   )memory_formatc          	         [         R                  " U R                  5       U R                  5       U R	                  5       [        U R                  5       5      S9$ Nra  )r<   r   rj   r   rc  re   r   )r   rA  s     ra   r  r    s@     ||~kkmAJJL!	 rc   c                "   / n[        U [        5      (       a  [        U R                  [        R                  5      (       a  U R                  n [        U [        R                  5      (       aL  UR                  U R                  5       5        U R                  n [        U [        R                  5      (       a  ML  [        U 5      n [        U 5      n U(       a:  U R                  n US S S2    H  n[        R                  " XS9n M     [        U 5      n U $ )NrP  r:  )rg   r@   ri   r.   r   rk   r  r  )r   reinterpret_view_layoutsr;  s      ra   clone_preserve_reinterpret_viewrF    s    !!YJqvvr7I7I$J$JFFB..//$++ALLN;A B..// aLaAFF.tt4F""9A 5aLHrc   rg  c               Z   ^^^ UUU4S jn[         R                  " [        U5      TUU /S9$ )Nc                @   > [         R                  " TU S   -  T-   TS9$ )Nr   r   rO   rS  )r<  r   r5  r7  s    ra   r{   iota.<locals>.fn  s!    ~~dU1Xo5UCCrc   ra  )r<   r   rD   )lengthr5  r7  r   rr   requires_gradr{   s    ```   ra   iotarM    s1    D V$x	 rc   c           	       ^^^^ U R                  5       UR                  5       :X  d   eU R                  5       m[        U TS5      m[        R                  R
                  R                  [        R                  " TS5      5      (       a  TU R                  5       T   -   m[        R                  R
                  R                  ST5        [        R                  R
                  R                  TU R                  5       T   5        [        [        UT5      U R                  5       5      nUR                  5       mUUUU4S jn[        R                  " U R!                  5       U R                  5       U[#        U R                  5       5      S9$ )Nr   c           	       > [         R                  " [         R                  " [         R                  " U T   [        R
                  5      [         R                  " T[        R
                  5      5      T" U 5      T" U 5      5      $ r   )rO   r  eqrS  rw   r  )r  r   r<  
src_loaderr&  s    ra   r_   select_scatter.<locals>.inner_fn  sX    yyFFs3x5uekk2 sOSM
 	
rc   ra  )r   rc  r3  rP   rY   r   r  r   r  r   r.  r/  r.  r  r<   r   rj   re   )r   r  r   r<  r_  rQ  r&  s     `` @@ra   select_scatterrS    s   ;;=CMMO+++}}H
3
"Cww%%ehhua&899

S))GGq%(GGeQZZ\#%67
3$ajjl
3C"J
 
 ||~kkmAJJL!	 rc   c           	     6  ^ ^^^^^^	^
 [        UT R                  5       5      nT R                  5       m
[        T TS5      mT R	                  5       T   m[
        R                  R                  T TTT5      u  mm[        T R	                  5       5      n[        TT-
  TS-
  -   T5      UT'   [        X5      nUR                  5       m	UUUU	UUU U
4S jn[        R                  " T R                  5       T R                  5       U[        T R	                  5       5      S9$ )Nr   r+   c                V  >^ T	S:X  a  TT:X  a  T
S:X  a  T" U 5      $ [         R                  " U T   [        R                  5      n[	        U 5      m[        U T   T	-
  T
5      TT'   / nT	S:w  a]  UR                  [         R                  " U[         R                  " [        R                  " T	5      [        R                  5      5      5        TT:w  a]  UR                  [         R                  " U[         R                  " [        R                  " T5      [        R                  5      5      5        T
S:w  a}  UR                  [         R                  " [         R                  " [        U T   T	-
  ST
5      [        R                  5      [         R                  " S[        R                  5      5      5        U(       d   e[        R                  " [         R                   U5      n[         R"                  " UUU4S j[%        T5      (       a  SOS5      n[         R&                  " UUT" U 5      5      $ )Nr   r+   c                    > T" T 5      $ r   r   )src_idxrQ  s   ra   rP  1slice_scatter.<locals>.inner_fn.<locals>.<lambda>  s
    Jw'rc   rR  )rO   rS  rw   rT  re   r&   rk   rV  r   r.  rW  rP  r(   rU  r  r  rX  rY  r   r  )r  rZ  r_  src_valrW  r   r2  r6  rQ  r5  r7  r   r&  s       @ra   r_  slice_scatter.<locals>.inner_fn  s   A:#/daic?"..S5;;7s)C5 0$7A:KKNN5<<#6D (?KKNN5<<#4ekkB 19KKNN'C5(8!TBEKK LLEKK0	 t$/**' ##A

 yySM
 	
rc   ra  )r   r   rc  r3  r   r.   r4  normalize_start_endre   r&   r.  r<   r   rj   )r   r  r   r5  r6  r7  src_sizer_  r2  rQ  r&  s   ` ````  @@@ra   slice_scatterr]    s    
3
&C}}H
3
"Czz|C H11!S%EJE3AJJL!HS5[D1H5t<HSM

C"J,
 ,
\ ||~kkmAJJL!	 rc   c                v    [        U [        [        45      (       a  [        U 5      S:  a  [	        U S   5      $ U $ r  )rg   re   r   r   _unwrapr   s    ra   r_  r_  "  s0    !dE]##A
qt}Hrc   r   rr   r;  
pin_memoryc               :  ^ ^ [        US [        R                  4;   SU 35        [        U(       + S5        [        [	        T 5      [
        5      (       a  T=(       d    [        R                  mOT=(       d    [        R                  " 5       m/ n[        T [        R                  5      (       a  U U4S jnO[        T [        [
        45      (       a  U U4S jnO[        T 5      S:X  d-  [        T S   [        [
        45      (       aE  [        T 5      S::  a6  UR                  [        R                  " [        T 5      5      5        U U4S jnO3[        R                  R!                  [        R"                  " T TUS95      $ [$        R&                  " [)        U5      TUUS	9$ )
Nlayout=ra  c                2   > [         R                  " TT5      $ r   rI  r<  ri   r   s    ra   r_  tensor.<locals>.inner_fn5  s    >>$..rc   c                2   > [         R                  " TT5      $ r   rO   rU  re  s    ra   r_  rf  :  s    <<e,,rc   r   r   c                   >^ ^ UUUU 4S jm[        T5      S:X  a  [        R                  " ST5      $ T" S[        T5      5      $ )Nc           	     n  > X:  d   eX-
  S:X  a  [         R                  " TU    T5      $ X-
  S-  U -   n[         R                  " [         R                  " [         R                  " TS   [
        R                  5      [         R                  " U[
        R                  5      5      T" X5      T" X!5      5      $ )Nr+   r)   r   )rO   rU  r  rW  rS  rw   rT  )r5  r6  midbinary_searchri   r   r<  s      ra   rl  /tensor.<locals>.inner_fn.<locals>.binary_searchB  s    {"{;!#<<UU;;{q(50yyFFuQx=S%++6 "%-!#+ rc   r   )r   rO   rU  )r<  rl  ri   r   s   `@ra   r_  rf  A  s<      4yA~||Au-- CI..rc   r  ra  )r   rw   stridedrg   r_  r   rT  get_default_dtyper   r   r6  r   rk   IntegerrP   rY   add_tensor_constantr  r<   r   rD   )ri   r   rr   r;  ra  r^  r_  s   ``     ra   r  r  (  s+   v$..'&0BC:~|,'$-%%$2002!F$$$	/ 
D5#,	'	'	- 
Ta:d1gs|<<TaemmCI./	/( ww**LLU6:
 	
 V$	 rc   c                |    [        U [        5      (       a  Ub  [        X5      n Ub  [        X5      n U $ [	        XUS9$ )Nr  )rg   r@   r   r  r  )ri   r   rr   s      ra   	as_tensorrs  a  sA    $	""D(DT*D$F33rc   c                2    [        U [        R                  S9$ rk  r  )ri   s    ra   long_tensorru  l  s    $ekk**rc   c                   [        [        R                  R                  R                  [        R                  R
                  R                  S   5      nUc   e[        U5      S:X  d   U5       e[        [        UR                  5       5      5      u  p#[        R                  " X#U 5      n[        R                  R                  U5      Ul        [        R                  R                  U5        [        R                  R
                  R                  S   n[!        U["        R$                  ["        R&                  ["        R(                  45      (       a  UR*                  R,                  $ [.        R0                  " U5      $ )Nr  r+   r  )r#   rP   rY   r   r  rZ   rg  r   rB  r  r   r.   DynamicScalarr  r   r  rg   rw   r  SymFloatSymBoolr_   r  r   r;  )ri   r  binding_symkeypathr  r  s         ra   _local_scalar_denser|  q  s    2	""AGG$8$8$=$=>Q$R ((( !Q&9(99&   %6%<%<%> ?@KkD9F''))&1FKGGv& ''


#
#E
*C#ennemmDEExx}}}}S!!rc   c                    g r   r   )ri   r   s     ra   _assert_scalarr~    s     rc   )rr   r;  c                   g r   r   )r   r   r@  r   rr   r;  s         ra   _assert_tensor_metadatar    s     rc   c                  ^^^ U m[        U [        [        45      (       d  [        TS5      (       a  TR                  m[        T[        [        45      (       a  UU4S jnO\[        T[
        R                  5      (       a  UU4S jnO5[        TR                  5       5      S:X  d   eTR                  5       mU4S jn[        R                  " UTU[        U5      S9$ )Nr   c                2   > [         R                  " TT5      $ r   rh  r<  r   r   s    ra   r_  _full.<locals>.inner_fn  s    <<u--rc   c                2   > [         R                  " TT5      $ r   rI  r  s    ra   r_  r    s    >>%//rc   r   c                   > T" / 5      $ r   r   )r<  value_loaders    ra   r_  r    s    ##rc   ra  )rg   r   r6  r   r   r   r   r   r   rc  r<   r   re   )
fill_valuerr   r   r   r_  r   r  s     `  @@ra   _fullr    s    Ej3,//GE74K4K%#u&&	. 
E5;;	'	'	0 5>>#$)))((*	$ Dz	 rc   c                8    [        [        U5      5      " U 40 UD6$ r   create_tensor_liketensor_constructor)r   r  r   s      ra   r  r    s    0<=aJ6JJrc   c                &   ^  S S S S SS S.U 4S jjnU$ )NF)namesr   rr   r;  ra  rA  c                0  > [        U S L S5        [        US [        R                  4;   SU 35        [        U(       + S5        [        U5      nU=(       d    [        R                  " 5       n[        U5      S:X  a;  [        US   [        [        [        R                  45      (       a  [        US   5      nU H$  n[        U[        R                  5      (       d  M$   e   U Vs/ s H  n[        R                  " U5      PM     nn[        TX!U5      $ s  snf )Nnamed tensorsrc  ra  r+   r   )r   rw   rn  rD   ro  r   rg   re   r   Sizer  r   r.  r  )	r  r   rr   r;  ra  rA  r   r   r  s	           ra   rm  !tensor_constructor.<locals>.inner  s     	5D=/26dEMM22gfX4FGz><0v&2002t9>ja4

2KLLa>D A!!U\\2222 )-.AQ.Z55 /s   $ Dr   )r  rm  s   ` ra   r  r    s(     6 6. Lrc   )r  r   r;  rr   ra  rA  c           	         [        U S L S5        [        U5      n[        U5      S:X  a;  [        US   [        [
        [        R                  45      (       a  [        US   5      n[        US XX4S9$ )Nr  r+   r   r   r;  rr   ra  )	r   rD   r   rg   re   r   rw   r  empty_strided)r  r   r;  rr   ra  rA  r   s          ra   r(  r(    se     u}o.6"F
4yA~*T!WtUEJJ.GHHT!W~d%v rc   c                $   ^  SSSSSS.U 4S jjnU$ )zR
Shim to convert X_like(...) into X(...).  For example zeros_like() into zeros().
NF)r   rr   r;  ra  rA  c                 > [        U(       + S5        [        US [        R                  4;   SU 35        Uc  U R                  5       nO[	        U5      nU=(       d    U R                  5       n[        U R                  5       5      nT" XaX#US9$ )Nra  rc  r`  )r   rw   rn  r   r   rj   re   r   )r   r   rr   r;  ra  rA  r   creation_fns          ra   _constant_like*create_tensor_like.<locals>._constant_like  s~     	z><06dEMM22gfX4FG=KKME 'E)1<<>AJJL!f

 	
rc   r   )r  r  s   ` ra   r  r     s#     duTX
 
 rc   c                *    [        [        U 5      5      $ r   r  )r  s    ra   r  r    s    0<==rc   c                "   ^  S S S S S.U 4S jjnU$ )Nr  c                 > [        U[        [        45      (       d   e[        U(       + S5        [        US [        R
                  4;   SU 35        [        U5      =(       d    U R                  5       nU=(       d    U R                  5       nU Vs/ s H  n[        R                  " U5      PM     nn[        T[        U5      X!5      $ s  snf )Nra  rc  )rg   re   r   r   rw   rn  r   r   rj   r   rp  r  rD   )r   r   r   r;  rr   ra  r   r  s          ra   _new_constant#new_constant.<locals>._new_constant!  s     $u....z><06dEMM22gfX4FGU#4q{{})1<<>*./$Qa $/Zv!6DD 0s    C	r   )r  r  s   ` ra   new_constantr     s     tDT	E 	E rc   r  c          	     |    Uc  U R                  5       nUc  U R                  5       n[        US UU[        U5      US9$ Nr  r   rj   r  rD   )r   r   r   r;  rr   ra  s         ra   	new_emptyr  /  sF    }~V$ rc   c                  [        U [        [        45      (       d   e[        U[        [        [        S 5      45      (       d   e[	        U(       + S5        [	        US [
        R                  4;   SU 35        [        U5      =(       d    [
        R                  " 5       nU=(       d     [
        R                  " S5      R                  n[        U5      n[        SXBU S9nUR                  5         UR                  R                  n[        R                   " UR                  S/[#        U 5      -  S9Ul        [        U[$        R&                  5      (       d   eU  Vs/ s H  n[(        R*                  " U5      PM     n nU(       a'  U Vs/ s H  n[(        R*                  " U5      PM     snO[$        R,                  R/                  U 5      n[$        R0                  " UUU US9Ul        U$ s  snf s  snf )Nra  rc  rR  r   )r  rr   r   r   )r^  )rr   r   r   r@  )rg   re   r   r   r   rw   rn  r   ro  r  rr   rD   r  ry  ri   dataclassesreplacer   r.   r  r   r.  r  r  r?  r;  )	r   r@  r   r;  rr   ra  	pointwiser  r   s	            ra   r  r  ?  s    dT5M****ftUDJ78888:~|,v$..'&0BC<5#:#:#<E/u||C(//F6"F6TJI^^  F%%fkk1#D	/JFKfb//0000%)*TELLOTD*  #))&Qa&)11$7 
 NN	FM  +)s    G' G,c          	     |    Uc  U R                  5       nUc  U R                  5       n[        UUUU[        U5      US9$ r  r  )r   r   r@  r   r;  rr   ra  s          ra   new_empty_stridedr  _  sH     }~V$ rc   c                   U Vs/ s H,  n[         R                  R                  R                  U5      PM.     nn[	        [        [        U5      5      UR                  S9n[        R                  R                  X5      $ s  snf )N)r  )rP   rY   r   r   sortedr   r   __getitem__r.   r  r  )r   r@  r   r  s       ra   copy_stridedr  q  sa    >DEfagg11!4fFE%F,&2D2DEL??//@@ Fs   3A?c                X    UR                  S5      c   S5       e[        U5      " U 40 UD6$ )Nr   z(dtype should be handled by decomposition)rh  r  )r   r  r   s      ra   fullr  x  s2    ::g*V,VV*j)$9&99rc   c                  ^^^^ [        U [        5      (       d   eUR                  5       S:X  a  [        XR	                  5       5      $ U R	                  5       m[        T5      S:H  n[        U TU5      mU(       a  [        U S/5      n S/mU R                  5       mUR                  5       mUUUU4S jn[        R                  " U R                  5       U R                  5       UUR	                  5       S9$ )Nr   r+   c                   > [        U 5      n [        R                  " T" U 5      TT   5      n[        U 5      S:X  a  U/n OXT'   T" U 5      $ r  )re   rO   indirect_indexingr   )r  
gather_idxr   index_loaderr   r&  s     ra   r{   gather.<locals>.fn  sJ    3i**<+<d3iH
s8q=,C!H}rc   ra  )rg   r@   	get_numelr  r   r   r3  r.  rc  r<   r   rj   r   )	r   r   r<  sparse_gradr  r{   r  r   r&  s	    `    @@@ra   gatherr  ~  s     a####ANN,--::<DY!^F
3
'C1qcNs}}H$$&L  ||~kkm~~	 rc   c                V  ^^^^	^
 U(       a+  [        [        R                  R                  5      " XX#U5      $ U(       a   e[	        U [
        5      (       d   e[	        U[
        5      (       d   eS[        UR                  5       5      ;   d   eU R                  5       m	UR                  5       m[        UR                  5       5      mU R                  5       m
/ UR                  5       QT
SS  QmUUUU	U
4S jn[        R                  " U R                  5       U R                  5       UTS9$ )Nr   r+   c                   > [        U 5      [        T5      :X  d   U  ST 35       eT" U S T 5      n[        R                  " UTS   5      // U TS  Q-   nT" U5      $ )Nz != r   )r   rO   r  )r  	var_index
weight_idxindices_loaderindices_ndimr)  weight_loaderweight_sizes      ra   r{   embedding.<locals>.fn  s{    3x3x=(@SEhZ*@@("3}#56	++I{1~FG K
K
 

 Z((rc   ra  )r  r  	embeddingr  rg   r@   strr   rc  r   r   r<   r   rj   )weightr  padding_idxscale_grad_by_freqsparser{   r  r  r)  r  r  s         @@@@@ra   r  r    s    6 67[f
 	
 :fi((((gy))))C))+,,,,&&(M((*Nw'')*L//#K6!!#6k!"o6H) )   " 	 rc   c           
     L   [        S U  5       5      (       d-   SU  Vs/ s H  o"c  M  UR                  5       PM     sn 35       e[        S U  5       5      (       a  [        S5      e[	        U 5       VVs/ s H  u  p#[        U[        5      (       d  M  UPM      nnn[        U5      S:  d   S5       eS /[        U 5      -  n[        U[        U Vs/ s H  o U   PM	     sn6 5       H(  u  p#UR                  5       U:w  a  [        S5      eX5U'   M*     XT4$ s  snf s  snnf s  snf )Nc              3     #    U  HY  nUc  M  UR                  5       [        R                  [        R                  [        R                  [        R
                  4;   v   M[     g 7fr   )r   rw   rT  r  r   r  r   ro   s     ra   r   .check_and_broadcast_indices.<locals>.<genexpr>  sA      A 	M%++u{{EJJLLs   A#AA#z)indices must be int64, byte or bool. Got c              3     #    U  H:  oc  M  UR                  5       [        R                  [        R                  4;   v   M<     g 7fr   )r   rw   r   r  r  s     ra   r   r    s.      <Cq2%**ekk22Gs
   A8AzFallback for bool indicesr   z"requires at least 1 non-None indexz.Fallback when indices is on a different device)r  r   r  r   rf   rg   r@   r   r   r   rj   )r  rr   ro   r   
valid_idxsnew_indicess         ra   check_and_broadcast_indicesr    s2       
 4G4eGq]Q[[]G4e3fg   <C   ""=>> )' 2O 2jI6N! 2JOz?QD DD&3w<'KJ 1
3S
1AJ
3S TU <<>V#%&VWWA V ""# 5f P 4Ts   DD5DDD!c	           
     ^  ^^^^^^^^^^ Sm[        TTSS  5       H  u  pX-
  S:w  d  M  SmM     [        T5       VVs/ s H  u  pUb  M
  X   PM     snnm/ TQU [        T5      [        T5      -   S  QmTS   nT(       a  TT-   mOTS U T-   TUS  -   mUUUUUUUUUU4
S jnTU4$ s  snnf )NFr+   Tr   c                  >
 [        U 5      [        T5      :X  d   e[        T5      [        T
5      :X  d   e[        T5      n/ nTS   nT(       a  SOUnSn[        TS   S-   5       H|  nXd:X  a  XQ-  nTU   c+  U[        U 5      :  d   eUR                  X   5        US-  nM=  TU   nUc   eT
U   nUR                  [        R                  " U" XXA-    5      UT	TS95        M~     / UQXS  QnTc  U$ T" U5      $ )Nr   rP  r+   r   wrap_neg)r   r   rk   rO   r  )r  r  	new_indexfirst_tensor_indexstart_offsetnext_idxro   loaderr   r   indexed_sizer  indices_loadersnon_consecutive_tensorsoutput_sizetensor_indicestensor_sizer  r&  s            ra   r{   *index_output_size_and_inner_fn.<locals>.fn  s=   3x3{++++?#s<'8888;	+A.3q9K~b)A-.A  qz!#c(***  /A(+)))#A  ))s,2EFG#!)	 /&

^
	 %,yE(92EErc   )r   rf   r   )r#  r  r  r  r  r  r&  r   r  previouscurrentro   r  r  r{   r  r  s    ````````      @@ra   index_output_size_and_inner_fnr    s    $ $ 1CD"&*# E ,5W+=M+=969+=MKSKS&[)9C<O)O)Q"RSK'*!K/ ++,,-./ 	 F  FD ?_ Ns   	B)B)c                    [        XU5      u  p4n[        R                  " U R                  5       U R	                  5       UUS9$ rC  )index_impl_helperr<   r   rj   r   )r   r  r   r  r_  r   s         ra   
index_implr  (  s>    0UCK1||~kkm	 rc   c                  ^^ [        U[        [        45      (       d   eU R                  5       m[	        XR                  5       5      u  p[        U5      S:  d   S5       eU Vs/ s H  oUb  UR                  5       OS PM     nn[        XS      R                  5       5      nU R                  5       n[        [        U5      5       Vs/ s H  oQU   c  M
  X   PM     n	nU(       a  SU	;   a  SU;  a  [        S5      e[        [        U5      5       Vs/ s H  oXU   PM	     n	n[        UUUUUU	S UUS9	u  n
mUU4S jnXT4$ s  snf s  snf s  snf )Nr   z Must have at least one valid idxz0index is out of bounds for dimension with size 0r  c                    > T" T" U 5      5      $ r   r   )r  index_inner_fnr&  s    ra   r_  #index_impl_helper.<locals>.inner_fnR  s    s+,,rc   )rg   re   r   rc  r  rj   r   r   r   
IndexErrorr  )r   r  r   r  r  ro   r  r  r#  r  r  r_  r  r&  s               @@ra   r  r  3  sL   ge}----}}H9'<<>RG~"F$FF"KRS7a-q}}TA7OS wa01::<=KZZ\F',S\':U':!ajIFI':LUl"q';KLL',S\':;':!1I':L;"@
#K- .009 T V <s   %E		EEEc                     [        XSS9$ ! [         a;    U R                  5         [        [        R
                  R                  SS9" X5      s $ f = f)NTr   Fr  )r  r   ry  r  r  r<  r  r   r  s     ra   r<  r<  X  sM    
!D11 
			

 1 1uM
 	

s   	 AAAc                    [        XSS9$ )NFr  )r  r  s     ra   _unsafe_indexr  d  s    a..rc   c           	     .    [        [        U 5      XUSSS9$ )NTFr   may_realizeindex_put_impl_r  r   r  r   
accumulates       ra   	index_putr  q  s    a':Tu rc   c           	     .    [        [        U 5      XUSSS9$ )NFr  r  r  s       ra   _unsafe_index_putr  x  s    a':U rc   c                    UR                  5       U R                  5       :w  a  [        X R                  5       5      nU(       a  [        X5      n[        U [	        US   X 5      5      $ r  )rj   r  r   r  r  )r  r  r   r  s       ra   index_put_as_masked_fillr    sP    T__..%!23D T5U9::rc   c                   [        [        R                  R                  R                  [
        R                  R                  5      (       d   e[        R                  " [        R                  R                  R                  XX#5        U $ r   )
rg   rP   rY   rZ   r]   rw   rx   ry   r.   IndexPutFallbackr  r  r   r  s       ra   index_put_fallbackr    sV    agg**115::3H3HIIII,,33TFWKrc   c           	         [        XX#SSS9$ )NTr  r  r   s       ra   
index_put_r    s    v4 rc   c           	         [        XX#SSS9$ )NFTr  r  r   s       ra   _unsafe_index_put_r    s    vD rc   c                  ^ U(       aJ  S nS mU" U 5      UR                  5       ;   a*  [        U4S jU 5       5      (       d  UR                  5         UR                  5       S:X  a  [	        U5      S:X  a  US   R                  5       [        R                  [        R                  4;   a_  US   n[        [	        UR                  5       5      [	        U R                  5       5      5       H  n[        US5      nM     [        X/X#5      $ [        R                  " 5       (       a  [        XX#5      $ U HH  n	U	c  M  U	R                  5       [        R                  [        R                  4;   d  M<  [        XX#5      s  $    U R                  5       n
[	        U
5      nU(       aQ  [        U R                  5       5      (       a3  US:X  a  [!        U S/5      n [        XX#5      n US:X  a  [!        U / 5      n U $ [#        X R                  5       5      n [%        XR'                  5       5      u  pU Vs/ s H  ob  UR+                  5       OS PM     nn[-        U [.        5      (       d   eU R                  5         US:X  a  [!        U S/5      n [1        XS      R                  5       5      n[        [	        U5      5       Vs/ s H  oU   PM	     nn[3        U
UUUUUS US9u  nn[5        UU5      nU R'                  5       nUc   e[6        R8                  " UU R                  5       UR+                  5       UUU(       a  SOS S	9n[6        R:                  " S [6        R<                  " U 5      US
9n[>        R@                  RC                  U5      Ul"        [>        R@                  RG                  U5        US:X  a  [!        U / 5      n U $ ! [(         a    [        XX#5      s $ f = fs  snf s  snf )Nc                n   [        U [        R                  5      (       a  U R                  n [        U [        R                  5      (       a  U R                  5       n [        U [        R                  5      (       a  U R                  n [        U [        R                  5      (       a  U R                  5       $ S $ r   )	rg   r.   r@   ri   r2   r<  r   Bufferr  r   s    ra   try_get_name%index_put_impl_.<locals>.try_get_name  ss    !R\\**FF!R[[))MMO!R]]++FF#-a#;#;1::<EErc   c                &   [        U [        5      (       a  [        U R                  [        R                  5      (       a  U R                  R                  5       n [        U [        R                  5      =(       a    [        U R                  [        R                  5      =(       am    [        U R                  SS 5      =(       aO    U R                  R                  R                  [        R                  R                  R                  R                  :H  $ g)Nr%  F)rg   r@   ri   r.   r2   r<  r   r  r   r%  r]   rw   rO   r  randpermr  )indices    ra   indice_slice_from_randperm3index_put_impl_.<locals>.indice_slice_from_randperm  s     &),,FKK1U1U002vr}}5 V"6;;@VY=V ++22eiinn6M6M6U6UU	 rc   c              3  4   >#    U  H  nT" U5      v   M     g 7fr   r   )r   r  r  s     ra   r   "index_put_impl_.<locals>.<genexpr>  s      E
=D6&v..Wr  r+   r   rP  r  
atomic_addrr   r   r_  r^  output_indexerscatter_moder   r;  ri   )$r  r  ry  r  r   r   rw   r   r  r   r   r  r  $are_deterministic_algorithms_enabledr  rI   r  r   r  rj   r   rc  rg   r@   re   r  r.  r.   Scatterr  MutationLayoutSHOULDREMOVErP   rY   r  r   r  )r  r  r   r  r   r  r
  r_  r   r<  r#  x_ndimr  ro   r  r  r  expected_vals_sizer_  rr   scatterr  r  s                         @ra   r  r    ss   	F	 !6!6!88 E
=DE
 B
 B
 NN 	aLAAJ  "uzz5;;&??qzs4==?+S-ABAT2&D C'ffII 1133!$DD !2uzz5;;6O!O%dVHH  ]]_F[FB4>>CSTTQ;qc?D!$DQ;b>Dfnn./FE"=__&#
 LSS7a-q}}TA7OSdI&&&&LLN {D1# wa01::<=K',S\':;':!1I':L;#A	$  F./F __Fjjnn##%!%/\TG ,,T2F
 ''))&1FKGGv&{D"~Ke  E!$DDE T <s   N; *O8O;OOr  c                   ^^^^^	 [        XSSS9u  pEmTR                  5       mU R                  5       m	UUUUU	4S jn[        R                  " U R	                  5       U R                  5       UUS9$ )NFr  c                   >^  TR                   [        R                  :w  a,  [        R                  " T" T 5      [        R                  5      nOT" T 5      n[        R
                  " UUU U4S jT5      $ )Nc                     > T" T " T5      5      $ r   r   )_unsafe_index_fnr  self_loaders   ra   rP  8_unsafe_masked_index.<locals>.inner_fn.<locals>.<lambda>1  s    K8H8M,Nrc   )r   rw   r   rO   r   rY  )r  mask_valr!  fillr_  mask_loaderr"  s   ` ra   r_  &_unsafe_masked_index.<locals>.inner_fn,  sK    ::#||K$4ejjAH"3'Hzz($NPTUUrc   ra  )r  rc  r<   r   rj   r   )
r  r_  r  r%  r^  r   r_  r!  r&  r"  s
    ` `   @@@ra   _unsafe_masked_indexr(  $  ss    "3UU#F ""$K""$KV V  nn	 rc   c           	         [        XS5      nU R                  5       n[        [        U5      5       Vs/ s H%  nX&   (       a  [	        X&   XV   * XV   S-
  5      OS PM'     nn[        XUSS9$ s  snf )Nr   r+   T)r  )r  r   r   r   r2  r  )r   r_  r  r   masked_valuer  ro   clamped_indicess           ra   #_unsafe_masked_index_put_accumulater,  ;  sx    q)LJJLE s7|$$A 7>jgj58)UX\2dJ$   Q$OOs   ,A,c                X    [         R                  " U[         R                  " X 5      5      $ r   )rO   ro  rp  r   minmaxs      ra   r2  r2  H  s    ;;sCKK/00rc   c                J    [        U 5      n[        XRX45      n[        Xa5        U$ r   )r  rE  copy_)r  r  r   r@  rA  r1  output_views          ra   as_strided_scatterr4  M  s$    4[FV6BK	+Mrc   c                0    [        [        U 5      XU40 UD6$ r   )scatter_r  )r   r   r<  r  r   s        ra   r  r  U  s    E!Hc#888rc   r  include_selfc               T   [        U[        5      n[        U UUR                  5       [	        [
        R                  U(       a  UR                  5       O
[        U5      5      U(       a  UR                  5       R                  OSU5      (       a  [        R                  " U UUUUUUS9  U$ g )Nznot implr7  )rg   r@   rN   r   r	   rw   r   r   rj   r.   ScatterFallback)ro  r  r   r<  r  r  r8  src_is_tensors           ra   scatter_fallbackr<  Z  s     sI.MU[[]#--/S	J!.J  	%	
 rc   r  c          	         US;   d   eUcV  [        [        R                  [        R                  R
                  R                  R                  5      n[        XPXX4S9nUb  U$ US:X  a  SnOUS:X  a  Sn[        XX#U5      $ )N)Nr   multiplyr=  r   sumr?  prod)
r   r  r6  rP   rY   rZ   r]   _overloadnamer<  scatter_reduce_)r  r   r<  r  r  ro  fallback_results          ra   r6  r6  {  s    ....~dmmQWW-A-A-H-H-V-VW*s3
 &""	:	4e&99rc   c                .    [        [        U 5      XU5      $ r   )scatter_add_r  r   r   r<  r  s       ra   scatter_addrH    s    a#c22rc   c                    [        XX#S5      $ )Nr@  )rC  rG  s       ra   rF  rF    s    15u55rc   c                0    [        [        U 5      XX440 UD6$ r   )rC  r  )r   r   r<  r  reduction_typer   s         ra   scatter_reducerL    s    58SOOOrc   )r8  c          
       ^ ^^^^ US;   d   e[        [        R                  R                  5       5      S:X  a"  S[        R                  R                  5       ;   d   S5       e[	        T[
        5      (       a  [        T T5      m[        [        R                  R                  T TUTUUS9nU(       a  U$ [	        T [        5      (       d   eS[        UR                  5       5      ;   d   e[        T R                  5       5      nUS:X  a  [        T S/5      m [	        T[        5      (       a*  [        TR                  5       5      S:X  a  [        TS/5      m[	        U[        5      (       a*  [        UR                  5       5      S:X  a  [        US/5      nUR                  5       S:X  a  T $ [        T T5      mT R!                  5         UR#                  5       m[	        T[        5      (       a  TR#                  5       OS mUUU 4S jnU UU4S	 jn	S
 n
T R%                  5       nUc   eU(       d  [&        R(                  " UT R                  5       U 4S jUR                  5       US S9n[&        R*                  " S [&        R,                  " T 5      US9n[.        R0                  R3                  U5      Ul        [.        R0                  R7                  U5        [&        R(                  " UT R                  5       U	UR                  5       UU
" U5      S9n[&        R*                  " S [&        R,                  " T 5      US9n[.        R0                  R3                  U5      Ul        [.        R0                  R7                  U5        US:X  a  [        T / 5      m T $ )N)Nr@  rA  meanamaxaminr+   twozKaten.scatter_reduce_.two is not the unique overload of aten.scatter_reduce_r7  r   r   c                   > TR                  5       n[        U5      n[        U 5      n[        R                  " T" U 5      US:X  a  SOUT   SS9UT'   U$ )Nr   r+   F)r  )r   r   re   rO   r  )r  r  r1  indirect_idxr   r  r  s       ra   r  'scatter_reduce_.<locals>.output_indexer  sU    5zCy11DAIq5:
S rc   c                l   > T(       a  T" U 5      $ [         R                  " TTR                  5       5      $ r   rO   rU  r   )r  r  r  rQ  s    ra   r{   scatter_reduce_.<locals>.fn  s*    c?" <<T^^%566rc   c                    U S:X  a  gU b   eg )Nr@  r  r   r=  s    ra   backend_reduce_str+scatter_reduce_.<locals>.backend_reduce_str  s    U? >!>rc   c                N   > [         R                  " STR                  5       5      $ r  rV  )r<  r  s    ra   rP  !scatter_reduce_.<locals>.<lambda>  s    3<<4>>3C#Drc   r  r  )r   r  rC  r   rg   r   r  r<  rQ  r@   r  r   r   r  r  r3  ry  rc  rj   r.   r  r  r  rP   rY   r  r   r  )r  r   r<  r  r  r8  rD  r1  r  r{   rY  rr   zero_outr  r  r  rQ  s   `` `           @@ra   rC  rC    s   BBBBD  **,-2T))3355U UU	6 #vc"&  !O dI&&&&C)****t}}DqyD1##y!!c#,,.&9Q&>3n%##ENN,<(=(BUQC A
c
"CLLN$$&L&0i&@&@"dJ7 __F::.."D>>#)
 ""006

 gg--f5	""6*
 jjnn~~%'/G ,,T2F
 ''))&1FKGGv&qyD"~Krc   c                d  ^^^^^^ U R                  5         U R                  5       mU R                  5       T* S  mU R                  5       S T*  nT Vs/ s H,  n[        R                  R
                  R                  U5      PM.     snm[        U5      T:X  d   eUn[        TU5       VVs/ s H	  u  phXh-  PM     snnm[        U5       H  u  piU	c  M
  SU	-  TU'   M     U4S jmUUUUU4S jn
[        R                  " U R                  5       U R                  5       U
/ UQUQS9$ s  snf s  snnf )Nr  c                  > [         R                  " U [        R                  5      n T(       a:  [         R                  " U [         R
                  " S[        R                  5      5      n [         R                  " U [         R
                  " U[        R                  5      5      n [         R                  " U [        R                  5      n [         R                  " XSS9$ )N      ?Fr  )
rO   rS  rw   rm  r   rU  rb  r   r  r  )r   rr  r   exacts      ra   scale_fn$upsample_nearestnd.<locals>.scale_fn%  s     NN1emm,3<<U]];<AGGAs||E5==9:LLEKK($$QE::rc   c                   > U T* S  nU S T*  nT
" / UQ[        UTT5       VVVs/ s H  u  p4nT	" X4U5      PM     snnnQ5      $ s  snnnf r   )r   )r  r   r0  ro   r   r   i_sizes
inv_scalesnrb  r&  s         ra   r{   upsample_nearestnd.<locals>.fn0  s_    H!HWaW#aW:UV:UJA$8A$':UVW
 	
Vs   Ara  )realize_hintrc  r   rP   rY   r   r  r   r   rf   r<   r   rj   r   )r   r  scales_xrg  ra  batchro   o_sizesorr  r{   re  rf  rb  r&  s      ``      @@@@ra   upsample_nearestndrn    s    NN}}HjjlA23GJJL1"E6=>gqww))!,g>Gx=AG$'$9:$9DA!%$9:Jh'%KJqM (	;
 
 ||~kkm!!!	 9 ?
 ;s   3D'+D,c                    [        XU4SS9$ )Nr+   rg  rn  r   r  r|  s      ra   upsample_nearest1drs  ?  s    avi1==rc   c                    [        XU4SSS9$ )Nr+   Trg  ra  rq  rr  s      ra   _upsample_nearest_exact1drv  D  s    avi1DIIrc   c                    [        XX#4SS9$ )Nr)   rp  rq  r   r  scales_hscales_ws       ra   upsample_nearest2dr{  I  s     ax.BaHHrc   c                    [        XX#4SSS9$ )Nr)   Tru  rq  rx  s       ra   _upsample_nearest_exact2dr}  P  s     ax.BatTTrc   c                    [        XX#U4SS9$ )Nr   rp  rq  r   r  scales_dry  rz  s        ra   upsample_nearest3dr  W  s     ax8.LPQRRrc   c                    [        XX#U4SSS9$ )Nr   Tru  rq  r  s        ra   _upsample_nearest_exact3dr  b  s     	X6!4 rc   c                .   ^  [        U 4S jU 5       5      $ )Nc              3  R   >#    U  H  n[         R                  " UT5      v   M     g 7fr   rh  )r   r   r   s     ra   r   $_create_constants.<locals>.<genexpr>p  s     6Aa''s   $')r   )r   rp   s   ` ra   rl  rl  o  s    6666rc   c                   ^^^ U R                  5       mU R                  5       mUUU4S jn[        R                  " U R	                  5       U R                  5       UTS9$ )Nc                   > [        U 5      n [        U 5      [        T5      :X  d   eT H  nTU   S-
  X   -
  X'   M     T" U 5      $ r  )re   r   )r  r   r  r  r&  s     ra   r  rev.<locals>.loadery  sN    3i3x3u:%%%Cc
Q#(2CH  }rc   ra  )rc  r   r<   r   rj   r   )r   r  r  r  r&  s    ` @@ra   revr  s  sM     }}HJJLE ||~kkm	 rc   c                   S nU" 5       (       a  g[        U5      S:w  d  [        U R                  5       5      S:w  a  gU R                  5         [        U [        R
                  5      (       a  [        U R                  [        R                  5      (       a  [        U R                  R                  [        R                  5      (       dH  [        R                  (       aX  [        U R                  R                  [        R                  5      (       a%  U R                  R                  R                  (       d  gU R                  5         [        R                  " U 5      u  pEUR                  nUS   S:w  a  gUS   S:w  d  US   S:w  d	  US   S:w  a  gUS   nUS:X  a  gUS   nUR                   S   n	XU-   :  a  gU R                  R                  R                  n
UR                   S   UR                   S   U-   /nU["        R$                  R&                  U
'   [)        U UUR                  UR*                  5      n[-        USXU-   S9n[/        X5        [0        S	   S
==   S-  ss'   U$ )z
This optimization changes the semantics of padding from 'clone'
style to 'view' style.

Thanks to functionalization, this change can still maintain numerical
correctness.
c                    [         R                  R                  n U c  g[        U R                  5      n[        U5      S:X  aF  US   R                  [        R                  R                  [        R                  R                  4;   a  gg)z
Conservatively check if padding can be fused with downstream op.
1. if the downstream op is a sum, then there is little benefit to
   do inplace padding
2. if the downstream op is a matmul, doing inplace padding can
   save membw.
Tr+   r   F)rP   rY   rZ   r   r[   r   r]   r  mmr  addmm)rZ   r[   s     ra   _padding_can_be_fused6inplace_constant_pad_nd.<locals>._padding_can_be_fused  sk     ww++l(()u:?uQxGGOOJJ3
  
 rc   Nr   r)   r+   r   r   )r   r5  r6  inductorinplace_padding)r   r   ry  rg   r.   r@   ri   r   r  r,   can_inplace_pad_graph_inputInputBufferr   freeze_layoutr>  r@  r   rP   rY   buffer_to_padded_sizerE  r  r8  fill_r   )r   paddingr  r  r   r;  r  npadstride0rowsizebufnamepadded_size	resized_xsliced_xs                 ra   inplace_constant_pad_ndr    s   (  7|qC

-2
 IIK
 q",,''!&&"--00qvv{{B$5$56622qvv{{BNN;; vv{{OO((+IAmmGqzQqzQ'!*/WQZ1_1:DqyajGkk!nG4ffkkG;;q>6;;q>D#89K-8AGG!!'*		I iQgT>JH	(Z*+q0+rc   c                  ^^^^^^^ [        U5      S-  S:X  d   e[        S U 5       5      (       a  [        U 5      $ [        R                  (       a  [        XT5      nU(       a  U$ U R                  5       n[        [        [        [        US S S2   USS S2   5      5      5      5      m[        U5      [        T5      -
  m/ mT H?  u  pVTR                  [        R                  R                  R                  U5      U45        MA     [        US T 5      n/ m[        TUTS  5       HC  u  u  pn
TR                  U
5        UR                  [        R                   " X-   U	-   5      5        ME     [        U5      [        U5      :X  d   e[#        U R%                  5       5      " T5      mUUUUU4S jmUUU4S jnU R'                  5       m[(        R*                  " U R-                  5       U R%                  5       UUS9$ )Nr)   r   c              3  *   #    U  H	  oS :H  v   M     g7fr   Nr   r   r  s     ra   r   "constant_pad_nd.<locals>.<genexpr>  s     
#7a67r  r+   c                N  >^  / n[        T T	S  TT5       HL  u  nu  p4nUS:w  a  UR                  [        US5      5        US:w  d  M2  UR                  [        X%5      5        MN     [        R
                  " [        R                  U5      n[        R                  " UU U
4S jT5      $ )Nr   c                    > T" T 5      $ r   r   )r<  r&  s   ra   rP  /constant_pad_nd.<locals>.mask.<locals>.<lambda>  s	    rc   )	r   rk   range_mask_lowrange_mask_highr  r  rO   rX  rY  )r<  r_  r  r  r  rK  boundsr  
mask_sizesrg  r&  s   `     ra   r_  constant_pad_nd.<locals>.mask  s    (+E!"Ivz(J$C#faxN323qyOC89	 )K
 $/zz$ 7DDrc   c                   > [        U S T 5      n[        U TS  T5       H  u  nu  p4UR                  X#-
  5        M     [        U5      [        U 5      :X  d   eT" U5      $ r   )re   r   rk   r   )r<  r  r  r  _highbounds_precompr_  rg  s        ra   	offset_fn"constant_pad_nd.<locals>.offset_fn  sa    rO	!$U12Y!?C#SY' "@9~U+++Irc   ra  )r   r  r  r,   r  r  r   re   r)  r   rk   rP   rY   r   lookup_precomputed_sizer   r.  r   r   rc  r<   r   rj   )r   r  r  rm   r  lhr  r  r  r   r  r  r  r_  r  rg  r&  s     `         @@@@@@ra   r  r    s   L1"""

#7
###Qx%a*=J JJLE(4GCaCL'!$Q$- @ABCFE
S[ A 68Nqww//GGJANO  uRay/KJ qr3T$5<<
T(9:; 4 {s5z)))q{{}-j9JE E }}H||~kkm	 rc   c                    [         R                  " [         R                  " U [        R                  5      [         R                  " [
        R                  " U5      [        R                  5      5      $ r   )rO   rV  rS  rw   rT  r   rp  )ro   r  s     ra   r  r     s@    66q%++&u}}S)5;;7 rc   c                    [         R                  " [         R                  " U [        R                  5      [         R                  " U[        R                  5      5      $ r   )rO   rW  rS  rw   rT  )ro   r  s     ra   r  r  '  s7    66q%++&tU[[) rc   c                T    [         R                  " [        X5      [        X5      5      $ r   )rO   rX  r  r  )ro   r  r  s      ra   
range_maskr  .  s#    88q  rc   c                   ^ ^^^^^^^ T R                  5       T* S  mT R                  5       mT=(       d    S/T-  mUUUUUUU U4S jnU$ )Nr   c                h  >^^ U S T*  mU T* S  m[         R                  " [        R                  [	        T5       Vs/ s H   n[        TU   TU   T
U   -   T
U   * 5      PM"     sn5      nT	(       a   [        R                  " UUUUUU4S jT5      $ [        R                  " UUUU4S jT5      $ s  snf )Nc                 .   > [        TTT S9" / TQTQ5      $ )Nr   )constant_boundary_condition)r   ihpad_fill_valueprefixr   s   ra   rP  ;constant_boundary_condition.<locals>.load.<locals>.<lambda>G  s    3A~3O"fNrNrc   c                    > T" / TQT Q5      $ r   r   )r  r  r&  s   ra   rP  r  M  s    (>V>b>*Brc   )r  r  rO   rX  r   r  rY  )r<  ro   r_  r  r  r   r  r  r  r  	padding_hr   r&  s      @@ra   rU  )constant_boundary_condition.<locals>.load<  s    uC45\HHLQRUJWJqZ1qtil2Yq\MBJW
  JJ  
	
 D"BJO
	
 Xs   'B/
)r   rc  )	r   r  r  r  r   rU  r  r  r&  s	   ````` @@@ra   r  r  5  sE     	


cTUA}}H$A39I
 
( Krc   dilationc                  Uc  S/[        U5      -  n[        U SXA   -  -   Xa   X!   S-
  -  -
  X1   S-
  -   X1   5      nU(       Ga  [        U SXA   -  -   Xa   X!   S-
  -  -
  SX1   S-
  -  -   X1   5      n[        R                  R                  R                  US-
  X1   -  U -
  XA   -
  5      S:  a<  US-  n[        R                  R                  R                  SXU   -  U -
  XA   -
  5        [        R                  R                  R                  Xx-
  5      S:X  a.  [        R                  R                  R                  Xx5        SnXu4$ UnXu4$ )Nr+   r)   r   F)r   r&   rP   rY   r   r*  r.  r-  )	r   ro   kernel_sizer@  r  	ceil_moder  x_outx_alts	            ra   pooling_sizer  S  si   3W%	A
NX[KNQ,>??69q=Q	E
 '*nk[^a/01 69q=!" I
 77%%uqyFI&=&AGJ&NOSTTQJEGG&&q%)*;a*?'**LM77%%em49GG))%7I  Erc   c               l    [        X5      n [        R                  " [        R                  U 5      nUS:  $ )N   )rJ   r  r  r  rb  )r  n_dimwindow_sizes      ra   %should_fallback_max_pool_with_indicesr  q  s-    {2K""8<<=Krc   assert_fallbackc                  US:X  a  S/U-  nUS:X  a  S/U-  nU(       d  Un[        X5      n[        X%5      n[        X55      n[        XE5      n[        U [        5      (       d   e[        U5      U:X  d   e[        U5      U:X  d   e[        U5      U:X  d   e[        U5      U:X  d   e[        U R	                  5       5      US-   US-   4;   d   e[        XS9nUb  Xv:X  d   eXX4U4$ )Nr   r+   r)   r  )rJ   rg   r@   r   r   r  )r   r  r@  r  r  r  r  use_fallbacks           ra   max_pool_checksr  w  s    !|#+1}3;{2K&(F7*GH,Ha####{u$$$v;%w<5   x=E!!!qzz|EAI 66668RL"...<??rc   c               &  ^^^^^ U R                  5         U R                  S T*  nU R                  T* S  n[        [        T5       V	s/ s H  n	[	        X   XTTUTS9PM     sn	6 u  pU R
                  nU[        R                  L a  SO;UR                  (       a  [        S5      O[        R                  " U5      R                  n[        U5      [        U
5      -   n[        T5      (       d'  [        U5      (       d  [        S T 5       5      (       a  [        XTS9mOU R                  5       mUUUUU4S jn[         R"                  " SU U R%                  5       UUUUUS9n[         R"                  " S	U U R%                  5       [        R&                  UUUUS9n[)        UR*                  R*                  [         5      (       a  UR-                  5         [)        UR*                  R*                  [         5      (       a  UR-                  5         UU4$ s  sn	f )
Nr  F-infc              3  *   #    U  H	  oS :  v   M     g7fr   r   r  s     ra   r   )_max_pool_with_offsets.<locals>.<genexpr>  s     ,EHqUHr  r  c                   > U S T*  nU T* S  n[        T5       Vs/ s H  nX4   T	U   -  X   TU   -  -   TU   -
  PM      nnT
" / UQUQ5      $ s  snf r   r   )r  reduction_idxr  bhro   r  r  r  r  r@  r&  s         ra   fn_inner(_max_pool_with_offsets.<locals>.fn_inner  s    Wuf%\ 5\
! UVAY=#3hqk#ABWQZO! 	 
 &2''	
s   %Ar0  rK  
input_noderr   	dst_dtyper  r_  r^  reduction_rangesargmax)ri  r  r   r   r  r   rw   r   r  r6  r  r/  re   r  r  rc  r=   r   rj   rT  rg   ri   ry  )r   r  r@  r  r  r  r  rk  dhwr  dhw_outr   	min_valuer)  r  rI  offsetsr&  s     ``` `          @ra   _max_pool_with_offsetsr    s    NNGGGeVE
''5&'
C
 5\	

 " X "	

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

s   Hc                    [        U5      n[        U UUUUUSS9u  pp4n[        R                  " SS9   [	        U UUUUUUS9u  pU[        U	[        R                  5      4sS S S 5        $ ! , (       d  f       g = f)NFr  r  unroll_reductions_thresholdr  )r   r  r,   r   r  r   rw   r  )
r   r  r@  r  r  r  r  r   rI  r  s
             ra   !_low_memory_max_pool_with_offsetsr    s     E 1@	1-KA 
"	50
 x44 
6	5	5s   -A**
A8c                R  ^^^^^^ [        T5      mU R                  5       m[        R                  " [        R
                  " [        R                  T5      5      mUUUUUU4S jn[        R                  " U R                  5       [        R                  UU R                  5       S9nU$ )Nc                   > T	" U 5      n[         R                  " UT
5      n[        R                  " UT5      nT" X5      n[         R                  " [        R
                  " UTT* S  5      [        R                  5      $ r   )rO   r  r-   _flattened_index_to_ndrS  _flatten_indexrw   rT  )r  r  offset_sympyr  idhwincrements_to_index
input_sizer  r  offsets_loaderr  s        ra   offsets_to_indices4_pool_offsets_to_indices.<locals>.offsets_to_indices  sk    $,,V[A&==lKX"36~~))$
E670CDekk
 	
rc   ra  )r   rc  r   r;  r  r  r  rb  r<   r   rj   rw   rT  r   )	r  r  r  r  r  r  r  r  r  s	    ```  @@@ra   _pool_offsets_to_indicesr    s     E((*N--	 0 0{ KLK
 
 !!#kk#!	G Nrc   c                J   ^^^^ [        U5      mUUUU4S jn[        XX&5      $ )Nc                   > U T* S  n[        T5       Vs/ s H  nX#   TU   -  X   TU   -  -   TU   -
  PM      sn$ s  snf r   r  )r  r  r  ro   r  r  r  r@  s       ra   r  D_low_memory_max_pool_offsets_to_indices.<locals>.increments_to_index*  s`    %\ 5\
! UVAY=#3hqk#ABWQZO!
 	
 
s   %=)r   r  )r  r  r  r@  r  r  r  r  s      ``` @ra   '_low_memory_max_pool_offsets_to_indicesr   !  s-     E
 
 $j rc   c           
     ~    [        XX#XFS9u  pp4n[        XX#XEUS9u  p[        U	UU R                  U* S  UUU5      n
X4$ )Nr  )r  r  r   r  )r   r  r@  r  r  r  r  r   rm   r  r  s              ra   _max_pool_with_indicesr  6  si     1@	1-KA *	ELC 6	G <rc   c           
         [        XX#XESS9$ Nr)   r  r  r   r  r@  r  r  r  s         ra   max_pool2d_with_indicesr  T       "	A rc   c           
         [        XX#XESS9$ Nr   r  r  r  s         ra   max_pool3d_with_indicesr  c  r  rc   c                n  ^^^^^^^^^^^ TS:X  a  SS/mUS:X  a  SS/nT(       d  Tm[        U[        5      (       d   e[        T5      S:X  d   e[        T5      S:X  d   e[        T5      S:X  d   e[        U5      S:X  d   e[        UR                  5       5      S;   d   eU R	                  5         U R                  5       n[        U[        5      (       a  [        UR                  R                  [        5      (       a  UR                  R                  n	U	R                  5       n
U
c   e[        R                  " S [        R                  " U
U	R                  5       U	R                  5       S9U	S9nUR                  5         UR                  5       nOUR                  5       nUS L=(       a    US   S:H  =(       d    US L=(       a    US   S:H  n[        S U 5       5      (       a  [!        XTTTXVU5      $ UR                  5       Gt pmU R                  5       Gt nmmUR#                  5       mU R#                  5       m[%        UR                  5       5      n['        UU4S j[)        TS   S-  5       5       5      m['        UU4S	 j[)        TS   S-  5       5       5      mTT-  nUS
:  a  [!        XTTTXVU5      $ UR                  5       mUUUUUUUUUUU4S jn[        R*                  " U R                  5       U R                  5       UUS9nU(       a  [        R,                  R/                  U5      $ U$ )Nr   r+   r)   r(  )rr   r   r   r  c              3  *   #    U  H	  oS :g  v   M     g7fr   r   r  s     ra   r   3max_pool2d_with_indices_backward.<locals>.<genexpr>  s     
$8a68r  c           
   3  z   >#    U  H0  n[        UTS    -  [        S UTS    -
  TS    -  5      -
  S5      v   M2     g7fr   r+   Nr0  r   r  r  r@  s     ra   r   r    H      *A 	ANSQQ%7F1I$EFFJJ*   8;c           
   3  z   >#    U  H0  n[        UTS    -  [        SUTS    -
  TS    -  5      -
  S 5      v   M2     g7fr+   r   Nr  r   wr  r@  s     ra   r   r    r  r  r  c                  > U Gt pn[         R                  " UT-  U-   [        R                  5      nUTS   -   nUTS   -   n[         R                  " [	        UTS   -
  TS   -   TS   5      [        R                  5      n[         R                  " [	        UTS   -
  TS   -   TS   5      [        R                  5      n[         R                  " [	        UTS   5      S-   [        R                  5      n[         R                  " [	        UTS   5      S-   [        R                  5      n[         R
                  " U[         R                  " S[        R                  5      5      n[         R
                  " U[         R                  " S[        R                  5      5      n[         R                  " U[         R                  " T[        R                  5      5      n[         R                  " U[         R                  " T[        R                  5      5      nS n	[        T5       GHD  n
[        T5       GH0  n[         R                  " U[         R                  " U
[        R                  5      5      n[         R                  " U[         R                  " U[        R                  5      5      n/ UQ[         R                  " [         R                  " U[         R                  " U[         R                  " S[        R                  5      5      5      TS   SS9P[         R                  " [         R                  " U[         R                  " U[         R                  " S[        R                  5      5      5      TS   SS9PnT" U5      nT" U5      n[         R                  " X5      nU	c>  [         R                  " UU[         R                  " S[        R                  5      5      n	GM  [         R                  " [         R                  " [         R                   " X5      [         R                   " X5      5      U5      n[         R                  " U[         R                  " U	U5      U	5      n	GM3     GMG     U	c   eU	$ )Nr   r+   Fr  rP  rR  )rO   rS  rw   r  r&   ro  rU  rp  r   r   r  r  rP  r  rm  rX  rW  )r  r  r  r  
index_testphstartpwstartphendpwendgradientph_pw_phpw
grad_indexindex_actual	grad_partr   r_  grad_loaderh_window_sizer  indices_sizer  r  pooled_heightpooled_widthr@  w_window_sizewidths                      ra   r{   ,max_pool2d_with_indices_backward.<locals>.fn  s+   A^^AIM5;;?

N
N..QQ'&)3VAY?
 ..QQ'&)3VAY?
 x6!9595;;Gx6!9595;;G++gs||Au{{'CD++gs||Au{{'CDE3>>-#MNE3>>,#LM'C]+WWWcll3&DEWWWcll3&DE))Bs||Au{{7S(TU$R(# ))Bs||Au{{7S(TU$R(#
  .j9'
3	|8#"yyy#,,sEMM*J H 88FF2-FF2- D  #yyswwx/KXVHE , (H ###rc   ra  )rg   r@   r   r   ri  r4  ri   r<   rj   r.   r  r  r   decide_layoutr  r  )fallback_max_pool2d_with_indices_backwardrc  re   r0  r   r   r  r  )grad_outputr   r  r@  r  r  r  r  	gO_strideri   rr   x_bufferx_strideis_channels_last_batch_heightr   r)  r  r{   rm   r(  r)  r  r*  r+  r,  r-  r.  s     ```                @@@@@@@@ra    max_pool2d_with_indices_backwardr9  w  s    !|a&1}q6a####{q   v;!w<1x=Aqzz|&&& ,,.I!YJqvv{{I$F$Fvv{{"!!!$$$$nn&]]_
 
 	 &&(%%' ,A!1A 3)A,!"3  
$8
$$$8K(w
 	
  jjlVe&1&:&:&<#Q|((*N))+KAJJL!H {1~)* M  {1~)* M
  -/KR8K(w
 	
 ##%L9 9v 

%%'##%	C 44S99
rc   c                8   ^^ U R                  5       mUU4S jnU$ )Nc           
       >^ ^^^	^
 Uu  mm	Uu  mm
Uu  pE[         R                  " [         R                  " [         R                  " TT-   [        R
                  5      [         R                  " U[        R
                  5      5      [         R                  " [         R                  " T
T	-   [        R
                  5      [         R                  " U[        R
                  5      5      5      n[         R                  " UUUU	U U
U4S jT5      $ )Nc                 ,   > T" / TQT T-   PTT-   P5      $ r   r   )h_start_indexr  iwr  w_start_indexr&  s   ra   rP  3pad_adaptive_loader.<locals>.load.<locals>.<lambda>  s$    HNvN}r'9N=2;MNOrc   )rO   rX  rW  rS  rw   rT  rY  )r  
incrementsstart_indicesend_indicesh_end_indexw_end_indexr_  r=  r  r>  r?  pad_valr&  s   `      @@@@ra   rU  !pad_adaptive_loader.<locals>.load  s    B'4$}#. xxFF}r15;;?{EKK8 FF}r15;;?{EKK8	
 zzOO
 	
rc   rc  )r   rF  rU  r&  s    ` @ra   pad_adaptive_loaderrI  	  s    }}H
, Krc   c                    [         R                  " XUS9n[         R                  " XUS9n[         R                  " XUS9n[         R                  " XUS9n	XgX4$ )N)out_diminp_dim)r  r$  )
start_index	end_indexh_inw_inh_outw_outr=  rD  r?  rE  s
             ra    compute_indices_adaptive_poolingrS  %  sU    %%k$OM##IdKK%%k$OM##IdKK}AArc   c                \   ^^^^^^ Uu  pgUu  p[        XXgX5      u  mmmmUUUUUU4S jn
U
$ )Nc                   > U Gt p#nT" U5      nT" U5      nT" U5      nT" U5      nS n	[         R                  " [        TS   5      [        TS   5      5       H"  u  pU" UX/XW/Xh/5      nU	c  Un	M  T" X5      n	M$     U	$ r  )r   productr   )r  r  r  r  bwr=  rD  r?  rE  rI  r  r>  r  h_end_index_fnh_start_index_fnkernel_maxes
pooling_fnw_end_index_fnw_start_index_fns                ra   r{    _adaptive_pooling_fn.<locals>.fn>  s    R(,$R((,$R(''l1o(>lSTo@VWFB.*	C ~#C0 X rc   rS  )rM  rN  rZ  in_sizes	out_sizesr[  rO  rP  rQ  rR  r{   rX  rY  r\  r]  s     `  `     @@@@ra   _adaptive_pooling_fnrb  /  sF     JDLE 	)E	
 . Irc   c                d   ^^^
^^^^ Uu  nmUu  px[        XUTXx5      u  mm
mmU
UUUUUU4S jn	U	$ )Nc                  > U Gt p#nT" U5      nT" U5      nT" U5      nT" U5      nS n	S n
[         R                  " [        TS   5      [        TS   5      5       H  u  pU" UX/XW/Xh/5      n[        R                  " X[-   T-  U-   U-   [
        R                  5      nU
c  Un
O+[        R                  " [        R                  " X5      X5      n
U	c  Un	M{  T" X5      n	M     U
$ r  )	r   rV  r   rO   rS  rw   rT  r  gt)r  r  r  r  rW  r=  rD  r?  rE  maxvalmaxindexr  r>  r  r<  rX  rY  rZ  r[  r\  rP  r]  s                  ra   r{   )_adaptive_pooling_fn_with_idx.<locals>.fng  s    R(,$R((,$R(''l1o(>lSTo@VWFB.*	C NN#t+m;b@%++E  99SVVC%8%J~#C0) X, rc   r_  )rM  rN  rZ  r`  ra  r[  rO  rQ  rR  r{   rX  rY  r\  rP  r]  s     `  `    @@@@@ra   _adaptive_pooling_fn_with_idxri  X  sK     JD$LE 	)dE	
! !F Irc   c           	     
  ^ ^^ T R                  5       [        R                  :X  a  [        S5      e[	        T [
        5      (       d   e[        U5      S:X  d   eT R                  5         T R                  5       Gt p#n[        R                  R                  R                  U5      n[        R                  R                  R                  U5      nUu  pVX5:X  a  XF:X  a  [        T 5      $ US:X  d  US:X  a/  / UQUPUPn[        UT R                  5       T R                  5       S9$ X5-  S:X  a  XF-  S:X  a  X5-  XF-  /n[!        T U5      $ [#        X5-   S-
  U5      n	[#        XF-   S-
  U5      n
[%        U5      XV/-   nT R                  5       nX-  nUS:  a  ['        T U5      $ S nS n[)        UUX/X4/XV/[*        R,                  S	9m[/        [1        T 5      5      mUUU 4S
 jn[2        R4                  " T R                  5       UUUS9nU$ )Nz0'adaptive_avg_pool2d' not implemented for 'Long'r)   r   r  r+   r  c                    [        X-  U5      $ r   r&   r<  rK  rL  s      ra   rM  )_adaptive_avg_pool2d.<locals>.start_index      733rc   c                2    [        U S-   U-  U-   S-
  U5      $ r  rl  rm  s      ra   rN  '_adaptive_avg_pool2d.<locals>.end_index  "    g-7!;WEErc   rM  rN  rZ  r`  ra  r[  c                `   > [         R                  " T" U [        T5      5      T" U T5      5      $ r   )rO   truedivrI  )r  fn_sumones_loaderr   s    ra   r{    _adaptive_avg_pool2d.<locals>.fn  s-    {{3+A./[1I
 	
rc   ra  )r   rw   rT  r~  rg   r@   r   ri  r   rP   rY   r   r  r  r(  rj   
avg_pool2drC   re   fallback_adaptive_avg_pool2drb  rO   r   rI  	ones_liker<   r   )r   r  rk  rO  rP  rQ  rR  o_sizer  h_kernel_maxw_kernel_maxr)  r   r  rM  rN  r{   rvrv  rw  s   `                 @@ra   _adaptive_avg_pool2dr    s   {{}#MNNa####{q   NNU$77%%d+D77%%d+DLE }QxzUaZ'5'%''V1;;=HH|qT\Q.}dm4![))DL1,u5LDL1,u5LE{e^+HKKME-KR+A{;;4F ""1.77F &il3K

 
		||~	
B Irc   c           	       ^ ^^ T R                  5       [        R                  :X  a  [        S5      e[	        T [
        5      (       d   e[        U5      S:X  d   eT R                  5         T R                  5       Gt p#n[        R                  R                  R                  U5      n[        R                  R                  R                  U5      nUu  pVUS:X  d  US:X  aV  / UQUPUPn[        UT R                  5       T R                  5       S9[        U[        R                  T R                  5       S94$ X5-  S:X  a  XF-  S:X  a  [        e[!        X5-   S-
  U5      n[!        XF-   S-
  U5      n	[#        U5      XV/-   n
T R                  5       nX-  nUS:  a  [%        T U5      $ S nS n['        UUX/X4/XV/[(        R*                  S	9m[-        UUX/X4/XV/[(        R*                  S	9mUU 4S
 jnUU 4S jn[.        R0                  " T R                  5       UUU
S9n[.        R0                  " T R                  5       [        R                  UU
S9nUU4$ )Nz,adaptive_max_pool2d not implemented for Longr)   r   r  r+   r  c                    [        X-  U5      $ r   rl  rm  s      ra   rM  (adaptive_max_pool2d.<locals>.start_index  ro  rc   c                2    [        U S-   U-  U-   S-
  U5      $ r  rl  rm  s      ra   rN  &adaptive_max_pool2d.<locals>.end_index  rr  rc   rs  c           	     <   > T" U [        T[        S5      5      5      $ Nr  rI  r6  )r  inner_func_max_valr   s    ra   inner_fn_max_val-adaptive_max_pool2d.<locals>.inner_fn_max_val      !#':1eFm'LMMrc   c           	     <   > T" U [        T[        S5      5      5      $ r  r  )r  inner_func_max_idxr   s    ra   inner_fn_max_idx-adaptive_max_pool2d.<locals>.inner_fn_max_idx  r  rc   ra  )r   rw   rT  r~  rg   r@   r   ri  r   rP   rY   r   r  r(  rj   
ValueErrorrC   re   fallback_adaptive_max_pool2drb  rO   ro  ri  r<   r   )r   r  rk  rO  rP  rQ  rR  r|  r}  r~  r)  r   r  rM  rN  r  r  r  rir  r  s   `                  @@ra   adaptive_max_pool2dr    s3   {{}#IJJa####{q   NNU$77%%d+D77%%d+DLEzUaZ'5'%''V1;;=H%%++allnK
 
 	
 |qT\Q.DL1,u5LDL1,u5LE{e^+HKKME-KR+A{;;4F ."1.;; 7"1.;;NN 
		||~!	
B 
		||~kk!	
B r6Mrc   c                j   ^ ^^^^^^ TT   mTT   mTT   mT R                  5       mUUUUUU U4S jnU$ )Nc                |  > TR                  5       n[        U5      S:X  a]  [        U 5      S:X  a  T" SU S   TS-
  T
-
  /5      nOK[        U 5      S:  a  T" U S   U S   TS-
  T
-
  /5      nO$T" SSTS-
  T
-
  /5      nOT" / U QTS-
  T
-
  P5      n[        R                  " UTR	                  5       5      n[        R                  " TT-
  [
        R                  5      n[        R                  " TS-
  [
        R                  5      n[        R                  " [        R                  " U[
        R                  5      [        R                  " U[
        R                  5      5      n[        R                  " [        R                  " US5      SU5      n[        R                  " XC-   U-  5      [        R                  " X7-  5      -
  n[        R                  " U[
        R                  5      n[        R                  " XF5      n	[        R                  " [        R                  " XU5      [        R                   " T5      5      $ )Nr   r+   r   r)   )r   r   rO   rS  r   rw   rT  ru  r   float64r  rP  r  rW  r  r   r;  )r  ro   samples_shapesamplei_exprdiffout_sz_exprrJ  seq_ir_  r   in_sz	kernel_szndimsout_szsamplessamples_loaders             ra   rU  )_fractional_pooling_offsets.<locals>.load5  s     ((*}"6{a (F1Iuqy3(GHV! (F1Iuqy3(OP (Auqy3(?@ $$>f$>eai#o$>?F7#4#4#67~~ei/=nnVaZ=LLu}}-s||K/W
 		#&&a0!U;		6?e34syy7PPUEKK0vvf*$$SYYtD%A5==QVCWXXrc   rH  )r  r  r  r  r   r  rU  r  s   `````` @ra   _fractional_pooling_offsetsr  /  s@    C[F#JE#I((*N!Y !YF Krc   c                    [        XX#SS9$ r  _fractional_max_poolr   r  r  random_sampless       ra   fractional_max_pool2dr  [      STUUrc   c                    [        XX#SS9$ r
  r  r  s       ra   fractional_max_pool3dr  `  r  rc   c                  ^^^^ U R                  5         U R                  S T*  U R                  T* S  pe[        R                  " SS9   [	        T5       Vs/ s H  n[        UUUUTUS9PM     snmU R                  5       mUUU4S jnUU4S jm[        U5      [        U5      -   n	U R                  5       n
[        R                  " SU U R                  5       U
U
UU	US9n[        R                  " SU U R                  5       [        R                  U
UU	US9n[        U[        5      (       d   U5       e[        UR                   R                   [        5      (       a  UR#                  5         [        U[        5      (       d   U5       e[        UR                   R                   [        5      (       a  UR#                  5         [%        XU R                  T5      nX4sS S S 5        $ s  snf ! , (       d  f       g = f)	Nr  r  )r  r  r  r  r  r   c                4   > U S T*  nT" / UQT" X5      Q5      $ r   r   )r  r  r  r  r  r&  s      ra   r  &_fractional_max_pool.<locals>.fn_innerx  s,    5&\FOfO':3'NOPPrc   c                   > U S T*  nU T* S  n[        T5       Vs/ s H  nTU   " X#U   5      X   -   PM     sn$ s  snf r   r  )r  r  r  bdhwr  dhw_index_fnr  s        ra   r  1_fractional_max_pool.<locals>.increments_to_index|  s]    5&\Fvw<D u%A QQ0=3CC%  s   ;r0  r  r  )ri  r  r,   r   r   r  rc  re   r   r=   r   rj   rw   rT  rg   r@   ri   ry  r  )r   r  r  r  r  rk  inp_dhwr  r  r)  r   rI  r  r  r  r  r&  s       `         @@@ra   r  r  e  s   NNWWWuf%qwwvw'77	"	5 5\

 " (&"% "

 ==?	Q	 ;k!22!! <<>(	
 ""#<<>kk(	
 &),,4f4,fkk&&	22NN'9--6w6-gll''33OO*!''+>
 { 
6	5

 
6	5s   G)G$.E,G)$G))
G7c           	     D  ^ ^^ T R                  5         T R                  5       Gt pVn[        R                  R                  R                  U5      n[        R                  R                  R                  U5      nUGt pXn	Xh-  S:X  a  Xy-  S:X  a  [        T Xh-  Xy-  /SS9$ [        Xh5      n
[        Xy5      nS mU4S jn[        TUX/Xg/X/[        R                  S9mUU 4S jn[        R                  " T R                  5       T R                  5       U[        U5      S9nU$ )	Nr   r+   )divisor_overridec                F    [        X-  [        R                  " U5      5      $ r   )r%   r   r;  rm  s      ra   rM  0upsample_nearest2d_backward.<locals>.start_index  s    ug(>??rc   c                   > T" U S-   X5      $ r  r   )r<  rK  rL  rM  s      ra   rN  .upsample_nearest2d_backward.<locals>.end_index  s    EAI99rc   rs  c                (   > T" U [        T5      5      $ r   )rI  )r  rv  r   s    ra   r{   'upsample_nearest2d_backward.<locals>.fn  s    c.q122rc   ra  )ri  r   rP   rY   r   r  ry  rC   rb  rO   r   r<   r   rj   r   re   )r   r  r  ry  rz  r7  inp_hinp_wout_hout_wr}  r~  rN  r{   r  rv  rM  s   `              @@ra   upsample_nearest2d_backwardr    s    NNJJLVEGG&&u-EGG&&u-E&VE}emq0!enen=PQRR5(L5(L@: ""1.77F3 
		||~kkmJ	
B Irc   c                "    [        U UUUUUUSS9$ )Nr)   r  _avg_poolndr   r  r@  r  r  count_include_padr  s          ra   ry  ry    )     		 	rc   c                "    [        U UUUUUUSS9$ )Nr   r  r  r  s          ra   
avg_pool3dr    r  rc   c                  ^^^^^^^^^^^ T(       d  TmT(       d  S/T-  m[        TT5      m[        TT5      m[        TT5      m[        U [        5      (       d   e[        T5      T:X  d   e[        T5      T:X  d   e[        T5      T:X  d   e[        U R	                  5       5      TS-   TS-   4;   d   eU R                  5         U R	                  5       S T*  nU R	                  5       T* S  m[        [        T5       V	s/ s H  n	[        TU	   U	TTTU5      PM     sn	6 u  p[        T5      (       d  [        U5      (       a  [        U STS9mSnOU R                  5       mSn[        U5      [        U
5      -   nU R                  5       m[        R                  " [         R"                  T5      nUS:  a6  TS:X  a  [$        nOTS	:X  a  [&        nO[)        S
T 35      eU" U TTTUTU5      $ UUUU4S jmU(       a  U(       a5  U(       a  UOUmTR*                  (       a  ST-  mUUUU4S jnOUUUU4S jnOUUUUUUUUU4	S jn[,        R.                  " U R1                  5       TUUS9nU$ s  sn	f )Nr   r+   r)   rR  r  TFr  r   zUnknown dim: c           	     f  > U S T	*  nU T	* S  nS n[         R                  " [        T	5       Vs/ s H  n[        T
U   5      PM     sn6  HZ  n[        T	5       Vs/ s H  oSU   TU   -  Xe   -   TU   -
  PM     nnU" / UQUQ5      nUc  UnMD  [        R                  " X5      nM\     U$ s  snf s  snf r   )r   rV  r   rO   r   )r  r  r  r0  totalro   r  r   r  r   r  r  r@  s            ra   rv  _avg_poolnd.<locals>.fn_sumL  s    UsdJ##U3Z%PZeKN&;Z%PQBBG*M*QQ4&)#be+gaj8*CM6C)C}+ R  &QMs   B)B.c                j   > [         R                  " T" U T5      [         R                  " TT5      5      $ r   )rO   rb  rU  )r  r   rv  rr  r&  s    ra   r{   _avg_poolnd.<locals>.fn^  s&    wwvc84cll5%6PQQrc   c                j   > [         R                  " T" U T5      [         R                  " TT5      5      $ r   )rO   truncdivrU  )r  divisorr   rv  r&  s    ra   r{   r  c  s'    ||F3$93<<QV;WXXrc   c                h  >	 U T	* S  n/ n[        T	5       H  nX   TU   -  TU   -
  n[        R                  " UTU   -   TU   TU   -   5      nT(       d1  [        R                  " US5      n[        R                  " UTU   5      n[        R
                  " XT-
  [        R                  5      nUR                  U5        M     [        R                  " [        R                  U5      nT
R                  (       a  [        R                  " T" U T5      U5      $ [        R                  " T" U T5      U5      $ r  )r   r   MinMaxrO   rS  rw   r  rk   r  r  rb  r  ru  r  )r  r  divide_factorsro   hstarthendfactordivide_factorr  r   r   rv  r  r  r  r@  r&  s           ra   r{   r  i  s    cTUBN3Z*WQZ7yy+a.!8!A$:KL("YYvq1F 99T1Q40Du{{C%%f-   &,,SWWnEM&&{{6#x#8-HH<<sH 5}EErc   ra  )rJ   rg   r@   r   r   ri  r   r   r  r  r  rc  re   r   r  r  r  rb  fallback_avg_pool2dfallback_avg_pool3dr  r  r<   r   rj   )r   r  r@  r  r  r  r  r   rk  ro   rQ  
ceil_modeshad_paddingr)  r  fallbackr{   r  r  r   rv  r  rr  r&  s    ``` ` `          @@@@@@ra   r  r    sc    #){C0K&#&F7C(Ga####{s"""v;#w<3qzz|q#' 2222NNJJL3$E	

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

 1q+vw	J

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

s   I-c                (  ^^^^^^^^^^^^^^ Tb  TS:w  d   S5       eT(       d  TmT(       d  SS/m[        U [        5      (       d   e[        U[        5      (       d   e[        T5      S:X  d   e[        T5      S:X  d   e[        T5      S:X  d   e[        UR                  5       5      S;   d   eU R	                  5         UR                  5       Gt nmm[        TSTTTU5      u  p[        TSTTTU5      u  pU R                  5       mTS   =(       d    TS   =(       d    U
=(       d    UmU R                  5       Gt nmm[        UR                  5       5      nUR                  5       n[        UU4S j[        TS   S-  5       5       5      m[        UU4S j[        TS   S-  5       5       5      mTT-  nUS:  a  [        U UTTTUTT5      $ UUUUU4S	 jmUUUUUUUUUUUU4S
 jn[        R                  " U R                  5       UUUS9nU$ )Nr   divisor must be not zeror)   r(  r+   c           
   3  z   >#    U  H0  n[        UTS    -  [        S UTS    -
  TS    -  5      -
  S5      v   M2     g7fr  r  r  s     ra   r   &avg_pool2d_backward.<locals>.<genexpr>  r  r  c           
   3  z   >#    U  H0  n[        UTS    -  [        SUTS    -
  TS    -  5      -
  S 5      v   M2     g7fr  r  r  s     ra   r   r    r  r  r  c           	     n  > [         R                  " TS   [        R                  5      n[         R                  " TS   [        R                  5      n[         R                  " TS   [        R                  5      n[         R                  " TS   [        R                  5      n[         R                  " TS   [        R                  5      n[         R                  " TS   [        R                  5      n[         R                  " [         R
                  " X5      U5      n[         R                  " [         R
                  " X5      U5      n	[         R                  " [         R                  " X5      [         R                  " [         R                  " T[        R                  5      U5      5      n
[         R                  " [         R                  " X5      [         R                  " [         R                  " T[        R                  5      U5      5      n[         R                  " U[         R                  " S[        R                  5      5      n[         R                  " U	[         R                  " S[        R                  5      5      n	[         R                  " U
[         R                  " T[        R                  5      5      n
[         R                  " U[         R                  " T[        R                  5      5      n[         R
                  " [         R                  " X5      [         R                  " X5      5      nU$ )zc
This computes the scaling factor that we will divide an element
by when `count_include_pad=False`
r   r+   )
rO   rU  rw   r  r  rb  rp  r   rS  ro  )r#  r$  stride_hstride_wpad_hpad_wkernel_hkernel_wr  wstartr  wendr  heightr  r  r@  r.  s                ra   !compute_pool_size_without_padding>avg_pool2d_backward.<locals>.compute_pool_size_without_padding  s   
 <<q	5;;7<<q	5;;7WQZ5WQZ5<<A<<<A<.6.6{{GGF%GGCNN65;;7?
 {{GGF%GGCNN5%++6>
 VS\\!U[[%ABVS\\!U[[%AB{{4!DE{{4u{{!CD 5swwt7LMrc   c                  > U Gt pnUTS   -   nUTS   -   n[         R                  " [        UTS   -
  TS   -   TS   5      [        R                  5      n[         R                  " [        UTS   -
  TS   -   TS   5      [        R                  5      n[         R                  " [        UTS   5      S-   [        R                  5      n[         R                  " [        UTS   5      S-   [        R                  5      n[         R
                  " U[         R                  " S[        R                  5      5      n[         R
                  " U[         R                  " S[        R                  5      5      n[         R                  " U[         R                  " T[        R                  5      5      n[         R                  " U[         R                  " T[        R                  5      5      nS n[        T5       GHD  n	[        T5       GH0  n
[         R                  " U[         R                  " U	[        R                  5      5      n[         R                  " U[         R                  " U
[        R                  5      5      nTb  TnO"T(       d  T(       d  TS   TS   -  nOT" X5      n[         R                  " T" / UQ[         R                  " [         R                  " U[         R                  " U[         R                  " S[        R                  5      5      5      TSS9P[         R                  " [         R                  " U[         R                  " U[         R                  " S[        R                  5      5      5      TSS9P5      U5      n[         R                  " [         R                  " X5      [         R                  " X5      5      nUc=  [         R                  " X[         R                  " S[        R                   5      5      nGM  [         R                  " U[         R                  " X5      U5      nGM3     GMG     Uc   eU$ )Nr   r+   Fr  rR  )rO   rS  r&   rw   r  ro  rU  rp  r   r   ru  r  r  rX  rW  r  rm  )r  r  r  r  r  r  r  r  r   r!  r"  r#  r$  rr  partr_  r  r  r  r(  r)  r  r  r  r+  r,  r@  r-  s                   ra   r{   avg_pool2d_backward.<locals>.fn  s   A
N
N..QQ'&)3VAY?
 ..QQ'&)3VAY?
 x6!9595;;Gx6!9595;;G++gs||Au{{'CD++gs||Au{{'CDE3>>-#MNE3>>,#LM'C]+WWWcll3&DEWWWcll3&DE#/,E&k'N[^;E=bEE{{#11 #$&s||Au{{7S(T!" !.&+  11 #$&s||Au{{7S(T!" !-&+& ). xxFF2%FF2% #"yyS\\#u}}5UVH"yyswwx/FQHS , (V ###rc   ra  )rg   r@   r   r   ri  r  rc  re   r   r0  r   fallback_avg_pool2d_backwardr<   r   rj   )r2  r   r  r@  r  r  r  r  r   _h_out
ceil_mode1_w_out
ceil_mode2r)  r   r  r{   r  r  r(  r)  r  r  r+  r,  r-  r.  s     ``` ``          @@@@@@@@@ra   avg_pool2d_backwardr    s"    #'71'<X>XX<a&k9----a####{q   v;!w<1qzz|&&&

Q%;F &eQVWiXF))+K!*F
FjFJK&1&:&:&<#Q|AJJL!HKKME {1~)* M  {1~)* M
  -/KR+	
 		
 8? ? ?B 
		%%'	
B Irc   c                  ^^^^^^^^^^^^^^^^^  Tb  TS:w  d   S5       eT(       d  TmT(       d  / SQm[        U [        5      (       d   e[        U[        5      (       d   e[        T5      S:X  d   e[        T5      S:X  d   e[        T5      S:X  d   e[        UR                  5       5      S;   d   eU R	                  5         UR                  5       Gt nmmm [        TSTTTU5      u  p[        TSTTTU5      u  p[        T STTTU5      u  pU R                  5       m[        T5      =(       d    U
=(       d    U=(       d    UmU R                  5       Gt nmmm[        UR                  5       5      nUR                  5       nUU4S j[        S5       5       u  mmmTT-  T-  nUS	:  a  [        U UTTTUTT5      $ UUUUUU 4S
 jmUUUUUUUUUUUUUU4S jn[        R                  " U R                  5       UUUS9nU$ )Nr   r  )r   r   r   r   )r   r   r+   r)   c              3  r   >^#    U  H+  m[        UUU4S  j[        TT   S-  5       5       5      v   M-     g7f)c           
   3  z   >#    U  H0  n[        UTT   -  [        S UTT   -
  TT   -  5      -
  S5      v   M2     g7fr  r  )r   r  ro   r  r@  s     ra   r   0avg_pool3d_backward.<locals>.<genexpr>.<genexpr>c  sH      
. VAYQ[^);q	(I!JJANN.r  r)   N)r0  r   )r   ro   r  r@  s    @ra   r   &avg_pool3d_backward.<locals>.<genexpr>b  sA      3
 A	 	 
;q>A-.
 	
 	
 s   37}   c           	       > S T 5       u  p4nS T 5       u  pgnS T 5       u  pnS [        XU/X4U/XgU/5       5       u  pnS [        XU/XU/TTT/XgU/5       5       u  nnnS XU4 5       u  pnS [        UUU/TTT/5       5       u  nnn[        R                  " [        R                  " [        R                  " X5      [        R                  " UU5      5      [        R                  " UU5      5      nU$ )Nc              3  l   #    U  H*  n[         R                  " U[        R                  5      v   M,     g 7fr   rO   rU  rw   r  )r   r   s     ra   r   Qavg_pool3d_backward.<locals>.compute_pool_size_without_padding.<locals>.<genexpr>y  s"     'UfQ(D(Dfr8  c              3  l   #    U  H*  n[         R                  " U[        R                  5      v   M,     g 7fr   r  r  s     ra   r   r  z  s"     MWs||Au{{;;Wr8  c              3  l   #    U  H*  n[         R                  " U[        R                  5      v   M,     g 7fr   r  )r   r   s     ra   r   r  {  s%      (
2=QCLLEKK((+r8  c              3  ~   #    U  H3  u  pn[         R                  " [         R                  " X5      U5      v   M5     g 7fr   )rO   r  rb  )r   r  r   pads       ra   r   r    s5      "
	c GGCGGAM3''s   ;=c           
   3     #    U  Hk  u  pp4[         R                  " [         R                  " X5      [         R                  " [         R                  " U[        R
                  5      U5      5      v   Mm     g 7fr   )rO   rp  r   rS  rw   r  )r   r5  r   r   r	  s        ra   r   r    sV      

'"# KK!3773>>#u{{+KS#Q 's   A3A5c              3     #    U  H?  n[         R                  " U[         R                  " S [        R                  5      5      v   MA     g7fr  rO   ro  rU  rw   r  )r   r5  s     ra   r   r    s4      "
1 KKs||Au{{;<<1   AA	c              3     #    U  HA  u  p[         R                  " U[         R                  " U[        R                  5      5      v   MC     g 7fr   rO   rp  rS  rw   r  )r   r6  r   s      ra   r   r    s6      
K KKS^^C=>>K   A	A)r   rO   rb  r  )pdr#  r$  stride_dr  r  pad_dr  r  kernel_dr  r  dstartr  r  dendr  r  r  depthr  r  r  r@  r.  s                      ra   r  >avg_pool3d_backward.<locals>.compute_pool_size_without_paddingx  s.   'Uf'U$HMWMe(
2=(
$H"
 x8<uU>S"


 '*(X.&u%	'	

dD"
 &1"

tT 2UFE4JK
dD GGCGGD)3774+@A3774QWCX
 rc   c                R  > U Gt pp4S [        X#U/T5       5       u  p#nS [        X#U/TT!5       5       u  pVnS [        X#U/T!5       5       u  pn
S XVU4 5       u  pVnS [        XU
/TTT /5       5       u  pn
S n[        T5       GH  n[        T5       GH  n[        T"5       GHo  nS [        XVU/XU/5       5       u  nnnTb  TnO*T(       d  T(       d  TS   TS   -  TS	   -  nO
T" UUU5      n[        R                  " T" / UQ[        R                  " [        R
                  " U[        R                  " U[        R                  " S[        R                  5      5      5      TS
S9P[        R                  " [        R
                  " U[        R                  " U	[        R                  " S[        R                  5      5      5      TS
S9P[        R                  " [        R
                  " U[        R                  " U
[        R                  " S[        R                  5      5      5      T S
S9P5      U5      n[        R                  " [        R                  " [        R                  " X5      [        R                  " UU	5      5      [        R                  " UU
5      5      nUc>  [        R                  " UU[        R                  " S[        R                  5      5      nGMB  [        R                  " U[        R                  " UU5      U5      nGMr     GM     GM     Uc   eU$ )Nc              3  .   #    U  H  u  pX-   v   M     g 7fr   r   )r   r  r	  s      ra   r   2avg_pool3d_backward.<locals>.fn.<locals>.<genexpr>  s     A)@vq17)@r  c              3     #    U  H<  u  pn[         R                  " [        X-
  U-   U5      [        R                  5      v   M>     g 7fr   rO   rS  r&   rw   r  )r   r  r   r   s       ra   r   r    s:      %
>a NN8AEAIq15;;??>s   AAc              3     #    U  H8  u  p[         R                  " [        X5      S -   [        R                  5      v   M:     g7fr   r  )r   r  r   s      ra   r   r    s4      
. NN8A>A-u{{;;.s   A Ac              3     #    U  H?  n[         R                  " U[         R                  " S [        R                  5      5      v   MA     g7fr  r  )r   pstarts     ra   r   r    s4      %
5 KKQ <==5r  c              3     #    U  HA  u  p[         R                  " U[         R                  " U[        R                  5      5      v   MC     g 7fr   r  )r   pend
pooled_dims      ra   r   r    s;      
%  KKcnnZEFF%r  c              3     #    U  HA  u  p[         R                  " U[         R                  " U[        R                  5      5      v   MC     g 7fr   )rO   r   rU  rw   r  )r   r   p_s      ra   r   r    s:      "+JF R(EFF+r  r   r+   r)   Fr  rR  )r   r   rO   ru  r  rp  r  rU  rw   r  rX  rW  r  rm  r   )#r  r  r  r  r  pdstartr  r  pdendr  r  r   pd_r!  r"  r  r#  r$  rr  r  r_  r  r  d_window_sizer  r(  r)  r  r  r  pooled_depthr+  r,  r@  r-  s#                        ra   r{   avg_pool3d_backward.<locals>.fn  s   AAaAY)@Aa%
ay+v>%
!'

Q1Iv.
e
%
"W5%
!'
$'u%m\'R%
e 'C]+ /C"*-$w7#C+"JBB (3 0*+ +AQ ?+a. P A"b" M;;#!' # 5 5$'KK(*CGGE3<<5;;;W,X%& %1*/!" !$ 5 5$'KK(*CGGE3<<5;;;W,X%& %2*/!"  !$ 5 5$'KK(*CGGE3<<5;;;W,X%& %1*/!"!4 7D< 88!2CFF2u4EFr5)D  '#&99 $S%--(H$ $'99T3778T3JH#Um 0 , (r ###rc   ra  )rg   r@   r   r   ri  r  rc  r  re   r   r   fallback_avg_pool3d_backwardr<   r   rj   )!r2  r   r  r@  r  r  r  r  r7  _d_outceil_mode_dr  ceil_mode_hr  ceil_mode_wr   r)  r   r  r{   r  r  r)  r  r(  r)  r  r  r*  r+  r,  r-  r.  s!     ``` ``             @@@@@@@@@@@@ra   avg_pool3d_backwardr1  5  s    #'71'<X>XX<k9----a####{q   v;!w<1qzz|&&&$%JJL!VUFE&q+vw	F ';F 'q+vw	F ))+Kg,K+KKK4?4H4H4J1Qm\AJJL!HKKME3
 q3/M=-  -/-?KS+	
 		
# #JU U Un 
		%%'	
B Irc   c                F   U R                  5       n[        U[        5      (       a  U/nOU(       d  [        [	        U5      5      n[	        U5      S:X  a  [        U5      S;   d
   SU 35       e/ $ [        U5      n[        [	        U5      5       Hg  nX   S:  a'  X==   [	        U5      (       a  [	        U5      OS-  ss'   SX   s=::  a  [	        U5      :  a  ML  O  [	        U5      S:X  a
  X   S:X  a  Mg   e   [	        [        U5      5      [	        U5      :X  d   S5       eU$ )Nr   )r   r  rP  zinvalid axis: r+   zreduction axis not unique)r   rg   r   r   r   r   re   r$   )r   rx  r   ro   s       ra   _validate_reduction_axisr4    s    ::<D$vSY
4yA~T{//H>$1HH/	:D3t97Q;GCIIs4y14GDG'c$i'CINtw!|LL  z$ CI-J/JJ-Krc   c          	       ^^
^^^ Ub  [        X5      n U R                  5       m[        [           " [	        X5      5      n/ n/ m/ n/ m[        [        T5      5       HT  nXq;   a'  TR                  U5        UR                  TU   5        M/  TR                  U5        UR                  TU   5        MV     U
UUUU4S jnT(       a1  [        T5      n	T H  n[        R                  R                  X'   M!     OUn	U R                  5       m
[        U R                  5       U=(       d    U R                  5       U R                  5       UU	US9$ )Nc                  > [        U5      [        T	5      :X  d   eT(       a.  [        U 5      [        T
5      :X  d   eT Vs/ s H  o U   PM	     n n[        U 5      [        T5      :X  d   eS /[        U 5      [        U5      -   -  n[        R                  " [        TU 5      [        T	U5      5       H	  u  pEXSU'   M     T" U5      $ s  snf r   )r   r   r   r   )r<  reduction_indexro   r  r  varinner_loaderkeepdimskept_idxreduced_idxr   s         ra   r  %_make_reduction_inner.<locals>.loader!  s    ?#s;'7777u:T***'/0x!1XxE05zS]***Fc%j3+??@	!% #k?"C
HC !cN
 I&& 1s   C)rr   r  r  r_  r^  r  )r   r   r$   r   r4  r   r   rk   re   r   r*  r+  rc  r  rj   r   )r   rx  r:  r   rE  
kept_sizesreduced_sizesro   r  r)  r9  r;  r<  r   s     `       @@@@ra   _make_reduction_innerr@    s   Q::<Dc?3A<=DJHMK3t99q!  a)OOAd1g& ' ' :A''++HK  ==?L||~'81;;=++-& rc   c                $   ^ ^ SS S.UU 4S jjjnU$ )Nr   c                  > [        U UUUTS9n[        R                  " STU S.UD6n[        UR                  R                  [        5      (       a  UR                  5         U$ )Nrx  r:  r   rE  )rK  r  r   )r@  r=   r   rg   ri   ry  )r   rx  r:  r   r   rI  rE  rK  s         ra   rm  make_reduction.<locals>.innerA  sg    &"7
 !!XAXQWXKK
 
 NNrc   r   r   )rK  rE  rm  s   `` ra   make_reductionrE  @  s    T    Lrc   c                   Ub  [        X5      n [        X5      n[        U R                  5       U R	                  5       4U R                  5       4U R                  5       US9$ )N)rr   dtypes	inner_fnsr   rx  )r   r3  r  rj   r   rc  r   )r   rx  r   s      ra   _make_scan_innerrI  T  sV    Q!D||~==?$ZZ\ rc   r   c                 ^ Ub  [        X5      n U R                  5       m[        X5      nU R                  5       nU[        R
                  [        R                  4;   a  [        U [        R                  5      n [        XU5      n[        U4S jU 5       5      n[        R                  " X`R                  5       U R                  5       S9n[        R                  " U[        UR                  5       5      5      n[        [!        XV5      U5      $ )Nc              3  .   >#    U  H
  nTU   v   M     g 7fr   r   r   ro   r   s     ra   r   mean.<locals>.<genexpr>m       04a$q'4r   r;  )r   r   r4  r   rw   rf  re  r6  sum_rM   r.   r5   rj   r4   r   re   div)r   rx  keepdimr   output_dtype
sum_resultdenomr   s          @ra   rN  rN  b  s    Q::<D#A,D;;=Lu~~66Q$aw'J0400Ee;;=XEeT**=*=*?%@AEC
*L99rc   c                F  ^
 Uc  SnU R                  5       m
[        X5      n[        XSS9nU(       a  UR                  5         [	        [        X5      5      n[        XaU5      n[        U
4S jU 5       5      nU(       a  [        R                  " X-
  S5      n[        R                  " XR                  5       U R                  5       S9n[        R                  " U[!        UR                  5       5      5      n[#        Xx5      n	U(       d  U	4$ U(       a  UO
[%        XQ5      nX4$ )Nr+   T)rQ  c              3  .   >#    U  H
  nTU   v   M     g 7fr   r   rL  s     ra   r    var_mean_sum_.<locals>.<genexpr>  rN  r   r   r;  )r   r4  rN  ry  squarer  rO  rM   r   r  r.   r5   r   rj   r4   r   re   rP  r  )r   rx  
correctionrQ  return_meanx_meandiffsrS  rT  x_varr   s             @ra   var_mean_sum_r^  s  s    
::<D#A,D!4(F3q>"Ee7+J0400E		%,a0e;;=XEeT**=*=*?%@AE
"ExVGF$9F=rc   c                    [        X5      n[        XUS S S9nUS   n[        US   5      n[        U[        R
                  5      =(       a1    [        U5      [        R                  :  =(       a    [        U5      S:g  $ )NrC  r^  r  r+   )	r4  r@  rM   rg   r   rp  r   r,   r  )r   rx  rQ  r   r^  reduction_numels         ra   use_two_step_variancera    sx    #A,D"	wd$F HF#F+=$>?O?EMM2 	' 6#E#EE	'&!Q&rc   c                 ^^^^^ Tc  Sm[        XUS S S9nUR                  S5      nUR                  S5        UR                  S5        [        R                  R                  " SU4SU R                  5       S.UD6u  pxn	UR                  5         U R                  5       mU R                  5       m[        X5      n[        U4S jU 5       5      mS	 mUUUU4S
 jn
[        U
5      " U5      nU(       a  UR                  5         X4$ U4$ )Nr+   rC  r_  r  r  welford_reduce)rH  rK  r   c              3  .   >#    U  H
  nTU   v   M     g 7fr   r   rL  s     ra   r   $var_mean_welford_.<locals>.<genexpr>  s     1Dq47Dr   c                   [        U [        R                  5      (       aK  U R                  (       d:  [        R
                  " [        R                  " U [        R                  5      U5      $ [        R                  " X5      $ r   )
rg   r   r   	is_numberrO   r   rS  rw   rT  rU  r=  s     ra   get_constant_or_index_expr5var_mean_welford_.<locals>.get_constant_or_index_expr  sH    a$$Q[[<<q%++ >FF||A%%rc   c                   > T" TT5      nT" TT5      n[         R                  " ST5      nU [         R                  " X2U-
  5      -  $ r  )rO   rU  ro  )ri   cNzerorY  r   rh  rnumels       ra   rb  #var_mean_welford_.<locals>.scale_fn  sC    &z59&vu5||Au%ckk$A...rc   r   )r@  r  r.   WelfordReductionr   r   ry  r   r4  rM   ro  )r   rx  rY  rQ  rZ  r   r  rN  m2r   rb  r8  r   rh  rn  r   s     `         @@@@ra   var_mean_welford_rr    s    
"	wd$F ZZ
#F
JJ{
JJ{%%,, )'kkm 	KDa JJLKKME::<D#A,D1D11F&
/ / 
"2
&Cy6Mrc   c                  ^ U R                  5       m[        T5      n[        XSS9n [        U UUUUS9n[	        XUS9(       a  [        S0 UD6O
[        S0 UD6n[        U4S jU 5       5      nU(       d  US   $ U$ )NFr  )r   rx  rY  rQ  rZ  )rx  rQ  c              3  :   >#    U  H  n[        UTS S9v   M     g7f)Fr  N)r   )r   r   r  s     ra   r   #var_mean_helper_.<locals>.<genexpr>  s     Fv!8Ayu5vr  r   r   )r   r   r   r  ra  r^  rr  r   )	r   rx  rY  rQ  rZ  compute_dtyper   r1  r  s	           @ra   var_mean_helper_rw    s    I))4M.A
F !w? 	(( 
 FvFFF'6!93V3rc   )rY  rQ  c                   [        XX#SS9$ )NFrx  rY  rQ  rZ  rw  r   rx  rY  rQ  s       ra   var_r|    s    	% rc   c                   [        XX#SS9$ )NTry  rz  r{  s       ra   var_meanr~    s    	$ rc   c                (   US:  a"  [        [        R                  " U 5      U* U5      $ US:X  a  [        R                  " SU5      $ US:X  a  U $ [        XS-  U5      n[        R                  " X35      nUS-  S:X  a  [        R                  " X05      nU$ )Nr   r+   r)   )pow_recursiverO   rn  rU  rb  )r   r2  r   rI  s       ra   r  r    s    1uS^^A.E::Av||Au%%Av11fe,FWWV$F	A!|#Mrc   c                .    [         R                  " X5      $ r   )rO   powr   r0  s     ra   
pow_nativer    s    771=rc   )r   c                   ^ ^^ [        T[        5      (       a$  T[        T5      :X  a  [        T [        T5      5      $ [        T[        5      (       a  TS:X  a  [	        T 5      $ [        T[        5      (       a  TS:X  a  [        T 5      $ [        S T T4 5       5      n[        U5      n[        T[        5      =(       a*    STs=:  =(       a    S:  Os  =(       d    U=(       a    TS:  nU(       aY  T R                  5       mU UU4S jn[        R                  " T R                  5       T R                  5       UT R                  5       S9$ [        T [        5      (       aA  T S:X  a  [        TS5      $ T S	:X  a)  [!        TR                  5       5      (       a  [#        T5      $ U(       aN  [        T [        5      (       a  [%        T T5      $ [        T[        5      (       a  ['        T T5      $ [)        T T5      $ [+        T T5      $ )
Nr`  r+   c              3     #    U  H6  n[        U[        R                  5      (       d  M$  UR                  5       v   M8     g 7fr   )rg   r.   r@   r   r  s     ra   r   pow.<locals>.<genexpr>  s'     N1*Q2Ms
   #A A i    r   c                F   > [        T" U 5      TTR                  5       5      $ r   )r  r   )r  r   r0  r  s    ra   r{   pow.<locals>.fn  s     a??rc   ra  r)   )rg   r6  r   r  sqrtr  rB  r   rc  r<   r   rj   r   r   r   r  r   exp2fallback_pow_scalarfallback_pow_tensor_scalarfallback_pow_tensor_tensorr  )r   r0  r   is_integer_powembed_exponentr{   r  s   ``    @ra   r  r    s   !USV1c!f~	Au		!s(Aw	As		QQx NANNE%e,N  3' a"32AF  	@ <<>++-::<	
 	
 !V6Q?"6nQ[[]337Na  &q!,,6""-a33-a33arc   c                f   [        U [        5      (       a  U R                  nOU n[        U[        5      (       a  UR                  n[        U[        R                  5      (       d  [
        R                  " U R                  5       U R                  5       UR                  5       U R                  5       S9n[        U[        [        45      (       d   eUR                  n[        U[        R                  5      (       d   e[        U[        R                  5      (       av  UR                  5       (       da  UR                  5       (       dL  [        UR                  [        R                  5      (       d#  UR!                  5         UR                  Ul        U $ [        R"                  R%                  XUS9  U $ )Nra  unsafe_alias)rg   r@   ri   r.   r   r<   r   rj   r   rc  r   r2   r8   is_input_bufferis_module_buffer	NopKernelry  r  realize_into)changedr  r  changed_datar_   s        ra   r  r  7  sC   '9%%||#y!!hhc2==))%%'##%__&##%	
 $: 67777ii#r}}----,..$$&&((**l''66 	HH!!.. /  Nrc   c                ,    [        U [        X5      5      $ r   )r  r  )r   r  s     ra   r  r  \  s    Q	!011rc   c                    XL a  U $ [        XR                  5       5      n[        XR                  5       5      n[	        XR                  5       5      n[        X5      $ r   r  rj   r   r   r.  r   r  )r  r  r  s      ra   r2  r2  a  sH    
z

C)
*C
3
(C
lln
%CSrc   c                .    [         R                  " X5      $ r   )rO   floordivr  s     ra   r  r  l      <<rc   c                .    [         R                  " X5      $ r   )rO   r  r  s     ra   r  r  q  r  rc   c                t   [        U 5      =(       a    [        U5      n[        U 5      =(       a    [        U5      nUS:X  a4  U(       a   S5       eU(       a  [        X5      $ [        [	        X5      5      $ US:X  a4  U(       a   S5       eU(       a  [        X5      $ [        [	        X5      5      $ [	        X5      $ )Nr
  z5floordiv operands can not be boolean at the same timer  z5truncdiv operands can not be boolean at the same time)r   r   r  r
  rP  r  r  )r   r0  rounding_modeboth_integerboth_booleans        ra   div_moder  v  s    "1%</!*<L"1%</!*<L X!XX!-x~C5Q3CCX!XX!-x~C5Q3CCq9rc   c                    [        U 5      =(       a    [        U5      nU(       a  [        X5      $ [        [        R                  R
                  5      n[        U5      " X5      $ r   )r   logical_andr:   r  rb  r  ro  )r   r0  	both_boolr{   s       ra   rb  rb    sH    "9q'9I1  **+b!!''rc   c                   [        U [        R                  5      (       a  [        U R                  5      $ [        U [        R
                  5      (       a  [        U R                  5       5      $ [        U [        R                  5      (       a  U $ [        U [        R                  5      (       d  g[        R                  R                  R                  U R                  5       5      n[        R                  " U5         [         R"                  " [        R$                  SS5         U R&                  " U R)                  5       6 nSSS5        SSS5        [        W[        R                  R*                  R,                  5      (       d   e[        UR.                  [        R                  5      (       a  UR.                  $ g! , (       d  f       N= f! , (       d  f       N= f)z:Try convert an arbitrary IR node into an ir.Constant valueNallow_indexingT)rg   r.   r8   get_constant_valueri   r2   r<  r   Loopsrw   	_inductorops_handlerExtractConstantsHandlerrj   rP   set_ops_handlerr   objectr  r_  inner_fn_argsvirtualizedOpsValuer   )r   rI  rm   s      ra   r  r    s1   
 !R]]##!!&&))!R[[!!!!--/22!R[[!! a""oo))AA!,,.QG	'"R&&(8$?jj!//+, 	@ 	#
 c5??66??@@@@#))R[[))yy 	@? 	#"s$   ;'G"F; G;
G		G
Gc                v   [        S X4 5       5      nU(       a  [        X5      $ [        U5      =nbs  U R                  5       R                  S:w  aU  UR
                  S:X  a+  [        R                  " [        S5      UR
                  5      nOSUR
                  -  n[        X5      $ S n[        U5      " X5      $ )Nc              3  \   #    U  H"  n[        U5      =(       d    [        U5      v   M$     g 7fr   )r   r   r  s     ra   r   div_prim.<locals>.<genexpr>  s"     O1oa(>OA,>>s   *,r   r   infr  c                 (    [         R                  " U 6 $ r   )rO   ru  r  s    ra   r{   div_prim.<locals>.fn  s    {{D!!rc   )r  r  r  rj   r   r   mathcopysignr6  rb  ro  )r   r0  is_integralr  rn  r{   s         ra   div_primr    s    OOOK~ &a((5!,,.:M:MQV:V==AuU|W]]CJw}},J1!!" "a##rc   c                N    [        X4[        R                  S9u  p[        X5      $ rn  )rG  r   INT_TO_FLOATr  r  s     ra   rP  rP    s*     	
$C$P$PDA A>rc   c                z    [        U 5      =(       d    [        U 5      nU(       a  S nOS n[        U5      " X5      $ )Nc                .    [         R                  " X5      $ r   )rO   modr  s     ra   r{   fmod.<locals>.fn  s    771= rc   c                .    [         R                  " X5      $ r   )rO   fmodr  s     ra   r{   r    s    88A>!rc   )r   r   ro  )r   r0  r  r{   s       ra   r  r    s5    !!$:(:K	!
	" "a##rc   c                   [        U R                  5       5      (       d  [        U R                  5       5      (       a  Uc  [        R                  n[        SUS9nU" XX#S9$ )Nr@  r  r   r   r   r   rw   rT  rE  r   rx  r:  r   r{   s        ra   rO  rO    sM     	''+;AKKM+J+J
-	U	;Bax--rc   c                   [        U R                  5       5      (       d  [        U R                  5       5      (       a  Uc  [        R                  n[        U R                  5       5      S:X  a+  US;   d   eU=(       d    U R                  5       n[        XSS9$ S n[        XUS9n[        R                  R                  " S	0 UDSU0D6u  nUc
  [        XUS9$ U$ )
Nr   r   rP  Tr  c                @    U u  nUu  n[         R                  " X#5      4$ r   )rO   r   a_tupleb_tupler   r0  s       ra   
combine_fncumsum.<locals>.combine_fn  !    rc   rx  r   r  r   r   r   )r   r   r   rw   rT  r   r   r   rI  r.   Scanr   fallback_cumsumr   rx  r   r  r   rI  s         ra   cumsumr    s     	''+;AKKM+J+J
-
1::<Aw&t,, 
 a%8F??J?IV~q%88Mrc   c                   [        U R                  5       5      (       d  [        U R                  5       5      (       a  Uc  [        R                  n[        U R                  5       5      S:X  a+  US;   d   eU=(       d    U R                  5       n[        XSS9$ S n[        XUS9n[        R                  R                  " S	0 UDSU0D6u  nUc
  [        XUS9$ U$ )
Nr   r  Tr  c                @    U u  nUu  n[         R                  " X#5      4$ r   )rO   rb  r  s       ra   r  cumprod.<locals>.combine_fn  r  rc   r  r  r  r   )r   r   r   rw   rT  r   r   r   rI  r.   r  r   fallback_cumprodr  s         ra   cumprodr    s     	''+;AKKM+J+J
-
1::<Aw&t,, 
 a%8F??J?IV~599Mrc   c                   S nU R                  5       n[        U R                  5       5      S:X  a  US;   d   e[        U 5      $ [	        XUS9n[
        R                  R                  " S0 UDSU0D6u  nUc	  [        XS9$ U$ )Nc           	     .   U u  nUu  n[         R                  " X#5      n[         R                  " X#5      nXE:g  [         R                  " U5      ) -  n[         R                  " U[         R
                  " [         R                  " XE-
  5      5      U-   U5      4$ r   )rO   rp  ro  r  r  log1pexp)r  r  r   r0  min_vmax_vr_  s          ra   log_add_exp_helper(logcumsumexp.<locals>.log_add_exp_helper(  ss    A!A!CIIe$4#45		$		#''%-*@ AE I1MOOrc   r   r  r  r  r  r   )	r   r   r   r  rI  r.   r  r   fallback_logcumsumexp)r   r   r  r   r   rI  s         ra   logcumsumexpr  &  s{    P KKME
1::<Ag~~Qxa7FGG4FGIV~$Q00Mrc   c                  ^ [        U R                  5       5      S:X  a+  TS;   d   e[        U 5      [        U [        R
                  S94$ U R                  5       n[        R                  " SUSS9n[        U TUS9nU[        R
                  4US'   U R                  5       U4S	 j4US
'   [        R                  R                  " S0 UDSU0D6u  pVUc
  [        U TS9$ XV4$ )Nr   r  r   r  Fr   arg_break_ties_leftr  rG  c                T   > [         R                  " U T   [        R                  5      $ r   rO   rS  rw   rT  r  rx  s    ra   rP  cummax.<locals>.<lambda>K      CNN3t9ekk:rc   rH  r  r  r   )r   r   r  r  rw   rT  r   r.   get_reduction_combine_fnrI  rc  r  r   fallback_cummaxr   rx  r   r  r   r   r  s    `     ra   cummaxr  <      
1::<AwQxAU[[999KKME,,5J ad%8Fu{{+F8	:F; ggnnEvE*EOF~qd++?rc   c                  ^ [        U R                  5       5      S:X  a+  TS;   d   e[        U 5      [        U [        R
                  S94$ U R                  5       n[        R                  " SUSS9n[        U TUS9nU[        R
                  4US'   U R                  5       U4S	 j4US
'   [        R                  R                  " S0 UDSU0D6u  pVUc
  [        U TS9$ XV4$ )Nr   r  r   argminFr  r  rG  c                T   > [         R                  " U T   [        R                  5      $ r   r  r  s    ra   rP  cummin.<locals>.<lambda>b  r  rc   rH  r  r  r   )r   r   r  r  rw   rT  r   r.   r  rI  rc  r  r   fallback_cumminr  s    `     ra   cumminr  S  r  rc   c                   [        U R                  5       5      (       d  [        U R                  5       5      (       a  Uc  [        R                  n[        SUS9nU" XX#S9$ )NrA  r  r   r  r  s        ra   rA  rA  j  sM     	''+;AKKM+J+J
-	e	<Bax--rc   c                V    [        U [        R                  5      n [        S5      " XUS9$ )Nr  rx  r:  )r   rw   r   rE  r   r   rQ  s      ra   
reduce_anyr   u  s$    EJJA% w??rc   c                F    Ub  [        XUS9[        XUS94$ [        U S US9$ Nr  )reduce_amaxreduce_argmaxr  s      ra   
reduce_maxr  {  6    
g6!8
 	

 qtg66rc   c                F    Ub  [        XUS9[        XUS94$ [        U S US9$ r  )reduce_aminreduce_argminr  s      ra   
reduce_minr
    r  rc   xor_sumr0  r/  r  r  r  
logical_or)rj  r]  stabler   
descendingc          
        Uc  SnU R                  5       nU R                  5       n[        [        U5      U5      n[        U5      S:X  a'  [	        U 5      [        SU[        R                  U5      4$ [        U5      (       a  XB   OSn[        R                  R                  R                  U[        R                  " [        R                  5      R                  5      (       d
  [        XX#S9$ [!        USS[        R                  USS9nS/[        U5      -  n[        U5      (       a  XhU'   [#        Xx5      n[%        Xt5      n[&        R(                  R+                  UU R,                  UR,                  4U R/                  5       UR/                  5       4UUUUS9u  pU	c
  [        XX#S9$ Uc   eU	[1        U[        R                  5      4$ )NFr   r+   r  )r5  r7  r   rr   rL  )rr   rG  rH  r   rx  r  r  )r   rj   r   r   r  r  rw   rT  rP   rY   r   statically_known_ltr  int16r0  sort_fallbackrM  r  r.  r.   Sortr   r   rc  r   )
r   r  r   r  r  rr   r2  r  
view_shaper   s
             ra   sort_stabler    s   ~JJLE\\^F
3u:s
+C
5zQQxq&%++u=== ZZuzQH77//%++ekk:R:V:VWWQ3NNVSXG s5z!J
5zz"37'GW$Gggnn'==?G$7$7$9: % OF ~Q3NN8GU[[111rc   c                    [        U SXS9$ )NFr  )r  )r   r   r  s      ra   sortr    s    qCGGrc   c                6    [        U U[        R                  US9$ )Nr   r   rl  )r  r   r  )r\   r   rl  s      ra   register_pointwise_numericr    s!    
;HH'	 rc   c                \    [        U R                  5        [        U [        R                  S9$ rn  )rL   r  r  r   r  r  s    ra    register_pointwise_numeric_ldf64r    s'    '4
;HH rc   r  logical_not)r]  )r   r  rE  identity)rw  pointwise_overrides_datac              #  V  ^#    [         U   m[        U TR                  S 5      nUc  g U4S jn[        U[        R
                  R                  5      (       a:  UR                  5        H%  n[        X$5      nUTR                  U" U5      4v   M'     g UTR                  U" U5      4v   g 7f)Nc                6   > TR                   c  [        U 5      $ g r   )tritonr  )r\   ri   s    ra   make_triton_fallback6_get_pointwise_overrides.<locals>.make_triton_fallbackE  s    ;;#B'' rc   )	r   r   r   rg   rw   rx   r   r   r   )nsr   r\   r$  olnamer  ri   s         @ra   _get_pointwise_overridesr(  ?  s     #D)D	TYY	%B	z( "ejj1122llnF$Bd..0DR0HHH % $**,@,DDDs   B&B)r  c                d   ^ U [         U'   [        R                  U 5        U4S jn[        X5        g )Nc            	     ~   > T" U 0 UD6n/ n[        U S   U5       H  u  pEUR                  [        XESS95        M      U$ )Nr   Tr  )r   rk   r  )rp   r   resultsmut_resultsr   rI  outplace_ops         ra   r{   $register_foreach_inplace.<locals>.fn  sK    t.v.tAw0KCy4HI 1 rc   )rV   ru  r   r  )aten_opoutplace_aten_opr-  r{   s     ` ra   register_foreach_inplacer1    s,    07,-G$ w+rc   c                .   ^ [        U S S9U4S j5       nU$ )Nr  c                 j   > T" U 0 UD6n[        X S   R                  5       5      n[        U S   U5      $ r  )r   r   r  )rp   r   rI  r-  s      ra   r{   register_inplace.<locals>.fn  s:    d-f-&q'"3"3"56a&))rc   )r%  )r/  r-  r{   s    ` ra   register_inplacer5    s#    wD9* :*
 Irc   c                    g r   r   r.  s      ra   sym_constrain_ranger7        rc   c                    [         R                  R                  R                  S   n[	        U[
        R                  5      (       d
   SU 35       eUR                  R                  $ Nr  z*Expect val to be torch.SymInt but got val=	rP   rY   rZ   rg  rg   rw   r  r_   r  r   r   r  s      ra   sym_sizer=    sV    
''


#
#E
*C c5<<(( 
4SE:( 88==rc   c                    [         R                  R                  R                  S   n[	        U[
        R                  5      (       d
   SU 35       eUR                  R                  $ r:  r;  r<  s      ra   
sym_strider?    sT    
''


#
#E
*Cc5<<(( 
4SE:( 88==rc   c                "    U R                  5       $ r   )r  )r   s    ra   	sym_numelrA    s    ;;=rc   c                (    [         R                  " U 6 $ r   )r   Addr  s    ra   sym_sumrD    s    99drc   c                    [        S5      e)NzHelpful for debuggingr   )r  rp   r   s      ra   foobarrF    s    
5
66rc   c                8    U R                  5         [        U 5      $ r   )ry  r  r   s    ra   _realizerH    s    IIK8Orc   c                R    U R                  5         [        R                  " X5        U $ r   )ry  r.   ResizeStorageBytes)variabler)  s     ra   resize_storage_bytes_rL    s!    (-Orc   c                    U R                  5         UR                  5         [        R                  " [        R                  " X5      5      $ r   )ry  r@   r   r.   SetSourceTensorKernel)r  source_tensors     ra   set__source_tensorrP    s3    LLNB44TIJJrc   r2  c                    XL a  U $ [        XR                  5       5      n[        XR                  5       5      n[	        XR                  5       5      n[        X5      $ r   r  )r  r  s     ra   
fsdp_copy_rR  (  sH    :J^^-.sMMO,S,,.)""rc   c                 ^	^
^^ [        U [        5      (       d   e[        U[        [        45      (       d   eUc  [        R
                  nU[        R                  :X  a  [        SU 35      eU[        R                  :X  a  [        U5      S:X  d   eU[        R                  :X  a  [        U5      S:X  d   eU R                  5       m
U R                  5       nU R                  5       n[        U R                  [        R                   5      (       a  U R                  R#                  5       U l        [        R$                  " 5       (       ay  [        R&                  R(                  R*                  (       aP  [-        U5      (       a  [/        S5      mO6[1        U5      (       a!  [        R2                  " U5      R4                  mOSmOSm[6        R8                  R:                  R=                  T
S5      (       a  [?        UTX4S9$ [A        U T
/S	/5      nURC                  5       m	[        RD                  RG                  X5      n[        RH                  " XCX5      RK                  5       mU	U
UU4S
 jn[L        RN                  " XCU[        U5      S9nU$ )Nzunsupported memory format: r   r   nanTrR  r   r  r+   c                  >^ T" U 5      m[         R                  " T[        R                  5      n[         R                  " T[        R                  5      n[         R                  " X5      n[         R
                  " UUU4S jT5      $ )Nc                    > T" T /5      $ r   r   )
flat_indexflat_loaders   ra   rP  *resize.<locals>.inner_fn.<locals>.<lambda>l  s    ZL(Arc   )rO   rS  rw   rT  rW  rY  )	r  flat_index_exprlimitr_  rW  rX  	old_numelout_indexeruninitialized_vals	       @ra   r_  resize.<locals>.inner_fng  sX     %
..U[[Ay%++6vvo-zz$ ACTUUrc   ra  )(rg   r@   re   r   rw   contiguous_formatpreserve_formatr~  channels_lastr   channels_last_3dr  r   rC  ri   r.   r2   r<  r  utilsdeterministicfill_uninitialized_memoryr   r6  r   r  r0  rP   rY   r   r5  r  rE  rc  r   stride_ordered_for_memory_formatr?  r  r<   r   )r   r   rA  r   rr   x_flat
out_strider_  rm   rX  r\  r]  r^  s            @@@@ra   resizerj  3  s
   a####dT5M****//---8HII+++4yA~~...4yA~~IKKME""$F!&&"++&&##% 	2244KK%%??%   %ee$$ %E 2 6 6 $  ww//	1==D+5HH		
 	
F $$&K""CCDXJ..ANNPKV V 

Xd4jC Jrc   )auto_functionalizedc                    SSK Jn  UR                  U5      n[        R                  " U UU0 UEUES9  UR                  5        VVs0 s H  u  px[        U[        5      (       d  M  Xx_M      snn$ s  snnf )Nr   )kernel_side_table)
kernel_idxgridtma_descriptor_metadatakernel_args)*torch._higher_order_ops.triton_kernel_wraprm  get_constant_argsr.   UserDefinedTritonKernelr   rg   r@   )	rn  constant_args_idxro  rp  r   rm  constant_argsr  r  s	            ra   triton_kernel_wrap_rw  z  sl     M%778IJM 7/v//	 &,\\^R^z#y7QHCH^RRRs   A/%A/c                n   [        S U /UQ 5       5      (       aY  Sn[        R                  R                  R                  R                  SS 5      =n(       a  U SU 3nU[        R                  l        [        R                  R                  XX#5      n[        [        [        R                  U5      5      $ )Nc              3  f   #    U  H'  n[        U[        5      =(       a    [        U5      v   M)     g 7fr   rM  r  s     ra   r   cond.<locals>.<genexpr>  s%     
M;La:a 1Yq\1;LrO  z"control flow operator: torch.cond.stack_trace Found from : 
 )r  rP   rY   rZ   rg  rh  disable_cudagraphs_reasonr.   Conditionalr   re   mapr@   )predtrue_fnfalse_fnoperandsr   r{  rI  s          ra   r   r     s    

MD;L8;L
MMM2''..3377tLL;LE*;-8C,/)^^""4(EFI$$f-..rc   c                   [        S X#-    5       5      (       aY  Sn[        R                  R                  R                  R                  SS 5      =n(       a  U SU 3nU[        R                  l        SS jn[        R                  R                  XX#U5      n[        U[        5      (       d   e[        [        Xx5      5      $ )Nc              3  f   #    U  H'  n[        U[        5      =(       a    [        U5      v   M)     g 7fr   rM  r  s     ra   r   while_loop.<locals>.<genexpr>  s*      3A 	1f.)A,.3rO  z(control flow operator: torch.while_loop.r{  r|  c                   [        U [        5      (       a  U $ [        U [        R                  5      (       a  [        U 5      $ [        U [        R                  5      (       a  [        R
                  " U 5      $ [        S[        U 5       35      e)NzNYI unsupported output type: )rg   r@   r.   r   MultiOutputr   r~  r   )rm   s    ra   _map_outputwhile_loop.<locals>._map_output  sh    c9%%JR]]++S>!R^^,,##C((!>tCykJKKrc   )rm   r   )r  rP   rY   rZ   rg  rh  r}  r.   	WhileLoopr   rg   r   re   r  )	cond_fnbody_fncarried_inputsadditional_inputsstack_outputr   r{  r  rI  s	            ra   
while_loopr    s    
 3   9''..3377tLL;LE*;-8C,/)L \\  .\F fh''''K())rc   )r  c                    [         R                  R                  " U /UQ76 n[        [	        [
        R                  U5      5      $ r   )r.   InvokeSubgraphr   re   r  r@   )subgraph_fn
identifierr  rI  s       ra   invoke_subgraphr    s5    %%k=H=FI$$f-..rc   )schemec               
   S n[         R                  R                  R                  R	                  SS 5      nUc   e[        U R                  R                  R                  5       GH  u  pVUR                  S:X  a!  X%   [         R                  R                  U'   M7  UR                  S:X  Ga  [         R                  R                  U5      u  px[        R                  " XxR                  5       5       H  n	U	R                  5         UR                  (       a7  [         R                  R                   R#                  U	R%                  5       5        [         R                  R&                  R#                  U	R%                  5       5        M     [(        R*                  R,                  R/                  [         R                  XgU5      nGM_  [         R                  R1                  U5      [         R                  R                  U'   GM     U$ )Nquant_optionsr[  r1  )rP   rY   rZ   rg  rh  rf   r  nodesr\   envfetch_args_kwargs_from_envr   r   r   ry  codegen_low_precisionlow_precision_codegen_opsr   rz  invoke_quant_opsrw   r]  Interpreterr1  run_node)
r  r  r  r1  r  ro   r_   rp   r   r  s
             ra   invoke_quant_tracerr    sW   FGG((--11/4HM$$$[55;;AAB77m# (AGGKKWW 77==dCLD__T==?;		 66GG5599!:N:N:PQ((,,Q-A-A-CD < XX))00$fMF ! 0 0 6AGGKK% C( Mrc   c                  ^
 SSK JnJn  [        U5      S:  a  [	        S5      e[
        R                  " X5       Vs/ s H&  nU" UR                  5       UR                  5       S9PM(     nnU" X5      m
U
4S jn[        US   SS S9n[        S U 5       5      US	'   [        S
 U 5       5      US'   [        R                  R                  " SUSS.UD6n	U	S   c  [	        S5      eU	$ s  snf )Nr+   )InputDescriptorlower_pointwise_subgraphr   zSUnable to generate code for associative_scan op, because there are lifted argumentsr  c                h   > T" / [         R                  " U 5      Q[         R                  " U5      Q76 $ r   )rE  r_  )lhsrhslowered_combine_fns     ra   wrapped_combine_fn,associative_scan.<locals>.wrapped_combine_fn  s6    ! 
$
$
 	
rc   r  c              3  @   #    U  H  oR                  5       v   M     g 7fr   )r   r  s     ra   r   #associative_scan.<locals>.<genexpr>  s     7Bq[[]]B   rG  c              3  @   #    U  H  oR                  5       v   M     g 7fr   rH  r  s     ra   r   r    s     <Ar  rH  F)r  can_fallback_to_atenz/Unable to generate code for associative_scan opr   )r  r  r  r   r~  r   r   r   rj   rI  r   r.   r  r   )r  xsr  r  r  r   subgraph_inputsr  r   rI  r  s             @ra   associative_scanr    s     M
!a
 	
 ((A 	akkmALLNC(   2*N
 be!48F7B77F8<<<F;WW^^ %" F
 ayLMMM-s   -C'c                    g r   r   )tokenss    ra   _sink_tokensr    r8  rc   c                \   [         R                  R                  " U/UQ70 UD6nSSKJn  U" XU5      nUc   e[
        R                  R                  U   nUc  U4$ [        R                  " [         R                  [        R                  U5      n[        U[        5      (       d  Xt4$ U/UQ7$ )Nr   )get_effect_key)r.   EffectfulKernelr   torch._higher_order_ops.effectsr  rP   rY   effectful_opsrE  r  r  r@   rg   r   )tokenr\   rp   r   rI  r  effect_typeeffectful_kernels           ra   with_effectsr    s    &&r;D;F;F> 62K"""ww,,[9~ ""!!"..)2B2BFKF fe$$ )) *6**rc   )register_comm_loweringsc                d   [        XSSSS9nUS   n[        R                  R                  R	                  [        U5      5      n[        R                  R                  " S0 UDSUS.D6u  pVUS:X  aZ  [        R                  R                  R                  U5      [        R                  :  a  [        R                  " SU SUS	.UD6u  pxXx4$ [        R                  " [         R"                  " S
5      5        [%        XSS9n	[&        [(        R*                     " [-        X	5      5      n
[/        XSS9nX4$ )zf
Lowering inductor_prims.prepare_softmax_online to compute max/sum in one pass if no split is needed.
TNrC  r  online_softmax_reduce)rK  r`  r+   r)   )r  
num_outputreduction_hintz
            Online softmax is disabled on the fly since Inductor decides to
            split the reduction. Cut an issue to PyTorch if this is an
            important use case and you want to speed it up with online
            softmax.
            )r:  r   )r@  rP   rY   r   simplifyrM   r.   r=   
num_splitsr*  r,   r  r9   r   rM  rN  textwrapdedentr  rT   r  r  r  rO  )r   r   r   r  rn  hint	num_split
max_tensor
sum_tensorrO  r  xsums               ra   prepare_softmax_onliner  $  s$   
 #	d$dF 01WW&&}5E'FGFll-- 
.OD 	QGG&&v.&2T2TT!7!>!> "
Qt"
?E"

 %% 	OO		
 1D1!#a,/Ct,zrc   )rH  )quantized_lowerings)mkldnn_lowerings)jagged_loweringsc              #  v  #    [        U [        R                  R                  5      (       d   S5       e[        R                  U 5      n [        U 5      " [        U 5      5        Sv   U(       a
  U[        U '   g[        R                  U 5        g! U(       a
  U[        U '   f [        R                  U 5        f = f7f)zR
A context manager to force fallback an op. Used in unit test
for FallbackKernel.
z+Only OpOverload to make the clean up easierN)	rg   rw   rx   ry   rT   rh  r%  r  r  )r\   old_handlers     ra   force_fallbackr  q  s      b%**//00 50 --#K".r23'IbMMM" 'IbMMM"s   AB9	B ''B9(B66B9)rl   z%Iterable[Union[tuple[Any, Any], Any]])r{   zCallable[..., Any]r  zOptional[Callable[..., Any]])r   r   )r   r   )r   r@   rr   torch.devicer  r@   )rp   z	list[Any]r   zdict[str, Any]r   r   r   )Optional[ELEMENTWISE_TYPE_PROMOTION_KIND]r  r   r  z tuple[list[Any], dict[str, Any]])r   r  )r   r  r  z.Callable[[Callable[_P, _T]], Callable[_P, _T]])NN)NNNFN)F)r   'Union[TensorBox, ShapeAsConstantBuffer]r   torch.dtyper  r   )r   r@   r   r  )r   r@   rr   r  r   )r   r@   r  zSequence[sympy.Expr]r  r@   )r   r   l            r+   Tr  )r~  r@   r|  r@   r~  r@   rx  r   r{  r   rz  r   r   r  r  r  )r~  r@   r|  r@   r~  r@   rx  r   r{  r   rz  r   r   r  r  Optional[torch.dtype]r  r  )r~  r@   rr  r6  rs  r   r{  r   rz  r   r   r  r  r  )r~  r@   rr  r6  rs  r   r{  r   rz  r   r   r  r  r  r  r  )r~  r@   rr  r@   rs  r@   r{  r   rz  r   r   r  r  r  )r~  r@   rr  r@   rs  r@   r{  r   rz  r   r   r  r  r  r  r  )r   r   r+   )r  r   r  r   r  r   r3  )T)rs   ztorch.Tensor)r_   ztorch.fx.Node)NTF)rr   r  )r   	list[int]r  r@   r  r  r  r   )
r  r   r  r   r   r  r  r@   r  r   )r  r@   r  z.tuple[str, sympy.Expr, sympy.Expr, sympy.Expr])r  r@   r  ztuple[str, sympy.Expr])r  r@   r  r@   r  r   r  r   r  Optional[str]r  Optional[TensorBox]r  r  )r~  r@   r   r@   r  r   r  r   )r   r   r<  r   )r   NNr+   )NNN)rP  FF)r   r   )ro  r  r   r   r  r  r8  r   )r   r   r  r  )r   r   r8  r   )r)   F)rj  ztuple[Optional[float], ...]rg  r   ra  r   )r|  Optional[float])ry  r  rz  r  )r  r  ry  r  rz  r  )r   r@   r  zSequence[int]r  r6  r  r  )ro   
sympy.Exprr  zUnion[sympy.Expr, int])ro   r  r  r  )ro   r  r  r  r  r  )Nr  N)
r  r@   r  "Sequence[Union[int, torch.SymInt]]r  r  r  zxCallable[[Sequence[Union[int, torch.SymInt]], Sequence[Union[int, torch.SymInt]]], torch._inductor.virtualized.OpsValue]r  r  )Nr   r+   F)rR  )NNNN)r   r   FTN)rK  rQ   r   )r   r  r  zOptional[ir.Constant])rP  F)r\   ztorch._ops.OpOverloadPacket)r  ir.Subgraphr  r  )r  r  )r  r  r  ztuple[torch.Tensor]r  (  
__future__r   
contextlibr  r  r   loggingr  r  rs  r  rM  collectionsr   collections.abcr   r   typingr   r   r	   r
   r   r   r   typing_extensionsr   unittest.mockr   r   rw   $torch.ao.quantization.fx._decomposedtorch.fxtorch.utils._pytreerd  _pytreerE  torch._dynamo.utilsr   (torch._higher_order_ops.associative_scanr   rr  r   torch._library.utilsr   torch._prims_commonr   r   r   r   r   r   r   r   r   r   r   torch.fx.experimental.sym_noder   r    %torch.fx.experimental.symbolic_shapesr!   r"   r#   torch.utils._ordered_setr$   torch.utils._sympy.functionsr%   r&   r'   r(   _dynamo.utilsr*    r,   r-   r.   r/   decompositionr0   r1   r2   r3   r4   r5   r6   r7   r8   r9   r:   r;   r<   r=   r>   r?   r@   rA   rB   rC   rD   rE   rF   rG   rH   rI   rJ   rK   rL   rM   rN   r  rO   rP   r  rQ   rR   rS   FALLBACK_ALLOW_LIST	getLoggerr  r{  rT   __annotations__rU   rx   ry   r  r  tr_c10dr  r   _higher_order_opsr  r^   ru  rV   quantized_decomposedrb   rt   r}   rz   r   r   r   rE  rJ  ry  r  bmmconvolutionconvolution_backwardr  r  r9  r  r{  r}  _int_mmr  r  r  r  rT  rf  rm  r  	complex32	complex64r   re  r   r   r   r   r   r   r   r   r  r  r"  rA  r%  r3  rG  ro  r  r   r  r  r  r  r   r  r  
device_putr  r  r  r  r  r   aliasdetachdetach_liftview_ofr  r   r  r  r  r  r  r  r  r
  r  r  r  r.  r  r  r,  _unsafe_viewreshaper/  slicer8  rG  rd  quantize_per_channelr  r  r   r  _functional_assert_asyncr  dequantize_per_channelr  quantize_per_tensorr  dequantize_per_tensorr  r  r  r  r  r	  r  r  r   r%  r'  r)  r5  r  r9  r3  r?  r  cacherO  rT  rY  rj  r  r  rngprimsr  r  r  	bernoullir  r  r  	lru_cacher  r  r  r  r  r  r  r  r  randintforce_stride_orderr  r  r  r  r  lookup_seedr  randomr  r  r  r  r  r  r  	NO_OPMATHr  r  r   r  r  r   r   r?  _adaptive_avg_pool3dadaptive_max_pool3d*_scaled_dot_product_attention_math_for_mpsuniformexponential_pdist_forwardsoft_margin_loss_backward_fused_rms_normxpuis_availableembedding_dense_backward_cdist_forward_cdist_backward
_trilinearsegment_reduce_segment_reduce_backwardhistc	histogrambin_ct_histogramdd_bin_edges_histogramdd_from_bin_ctsaddbmm_addmm_activation_grouped_mm
_cudnn_rnn_cudnn_rnn_backward_embedding_bag_embedding_bag_forward_only_embedding_bag_backward*_embedding_bag_per_sample_weights_backward_fused_moving_avg_obs_fq_helper*_fused_moving_avg_obs_fq_helper_functional max_pool3d_with_indices_backward_adaptive_avg_pool2d_backward_adaptive_avg_pool3d_backwardadaptive_max_pool2d_backwardadaptive_max_pool3d_backwardfractional_max_pool2d_backwardfractional_max_pool3d_backwardreplication_pad1d_backwardreplication_pad2d_backwardupsample_linear1d_backwardupsample_bicubic2d_backwardupsample_trilinear3d_backwardgrid_sampler_2d_backward_pdist_backwardr  r  kthvaluetopkr  median	nanmedianr  resize_
resize_as__linalg_detlinalg_householder_productlinalg_inv_exlinalg_ldl_factor_exlinalg_ldl_solve	linalg_lulinalg_lu_factor_exlinalg_lu_solvelinalg_matrix_exp	linalg_qr_linalg_slogdet_linalg_solve_exlinalg_solve_triangular_linalg_svd	lu_unpackormqr_linalg_check_errorslinalg_pinvatol_rtol_tensor_linalg_eightriangular_solvelinalg_cholesky_excholesky_inversecholesky_solvegeqrf_fft_r2cnonzerogcd_thnn_fused_lstm_cell_prims	rng_primsrun_and_save_rng_staterun_with_rng_stategraphsafe_run_with_rng_statemasked_scattermasked_scatter_backwardrf  angle_efficientzerotensor(_sparse_coo_tensor_with_dims_and_tensors	to_sparse
_to_sparser   r  r0  r.  #_scaled_dot_product_flash_attention,_scaled_dot_product_flash_attention_backward#_scaled_dot_product_cudnn_attention,_scaled_dot_product_cudnn_attention_backward+_scaled_dot_product_flash_attention_for_cpu4_scaled_dot_product_flash_attention_for_cpu_backward0_scaled_dot_product_fused_attention_overrideable9_scaled_dot_product_fused_attention_overrideable_backward_flash_attention_forward_flash_attention_backward_efficient_attention_forward_efficient_attention_backwardindex_reducerepeat_interleaver  r  rF  rg  rM  rS  r]  r_  scalar_tensorrs  
LongTensorru  r|  r~  r  r  r  r  r(  r  r  r  r{  
zeros_liker  r  r  r  r  r  r  r  r  r  r  r  r<  r  r  r  r  r  r  r  r  r(  fallback__unsafe_masked_indexr,  ,fallback__unsafe_masked_index_put_accumulater2  r4  r  r<  r6  rH  rF  rL  rC  rn  rs  rv  r  r  rl  r  r  r  r  r  r  r  r  r  r  r  r  r  r   r  r1  rI  rS  rb  ri  r  rz  r  r  r  r  r  r  r  r  r  r  r  r  r1  r,  r4  r@  rE  rI  rN  r^  ra  rr  rw  r8  r|  r~  r  r  r  Tensor_Tensorr  Scalarr  Tensor_Scalarr  r  r  r2  r  r  rP  r  rb  r  r  true_divider  r  r@  rO  r  r  r  r  r  r  r  r  r  r  rA  r  r   r0  r  r/  r
  r  rO  r  rP  r  r  r  r  r	  r   r  r  r  r  rsqrtr  r  expm1relur=  r  rX  r  cossinabsbitwise_andbitwise_left_shiftbitwise_not
bitwise_orbitwise_right_shiftbitwise_xorlgammaerfspecial_erfr  tantanhr  r  r  logical_xorro  rp  	clamp_min	clamp_maxnegrn  	remaindersignsignbit	_neg_viewlerW  rV  re  rP  necoshsinhacosacoshasinasinhatan2atanatanhr  erfcerfinvhypotlog10log2	nextaftercodegen.commonrw  r   r(  r   r\   r   rl  _foreach_addListforeach_add_listforeach_add_scalar_foreach_mulforeach_mul_listforeach_mul_scalar_foreach_sub_foreach_neg_foreach_abs_foreach_powScalarAndTensor_foreach_divforeach_div_listforeach_div_scalar_foreach_sqrt_foreach_rsqrt_foreach_maximum_foreach_minimum_foreach_clamp_min_foreach_clamp_max_foreach_reciprocal_foreach_sign_foreach_copyforeach_copyr1  _foreach_add__foreach_mul__foreach_div__foreach_copy_r5  add_bitwise_and_bitwise_left_shift_bitwise_not_bitwise_or_bitwise_right_shift_bitwise_xor_mul_div_Tensor_modelogical_and_logical_not_logical_or_logical_xor_sub_relu_sigmoid___and__
__lshift____or__
__rshift____xor____iand____ilshift____ior____irshift____ixor__r7  r=  r   r?  rA  r   methodfuncrD  rF  _inductor_testry  rH  r  rL  set_source_TensorrP  fsdprR  rj  *torch._higher_order_ops.auto_functionalizerk  rw  higher_orderr   r  while_loop_stack_outputr$  r  invoke_quantr  r  r  r  comm_loweringr  r  rH  r  register_quantized_opsregister_woq_mm_opsr  register_onednn_fusion_opsr  register_jagged_opscontextmanagerr  r   rc   ra   <module>r
     s6   "        	   # . O O O '    +  $ $ ( H U :    M 
 0 U U , 8 8 =    &      * T]t_ !   !FH	C H     uzz,,-/	yy~~
))

		"5::#8#89; ../
))*
 !!6!679 NP K Pyy55 ,	BF

3   !!$$$$--&&, {{zz{{{{{{}}}}}}

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