Ë
    g^(h=¯ ã            !       ó0s  — U d dl Z d dlZd dlZd dlZd dlZd dlmZ d dlmZ d dl m	Z	m
Z
 d dlmZmZ d dlmZmZmZmZmZ d dlZd dlZd dlmZ d dlmZ d dlmc mZ d dlmZm Z m!Z! d dl"m#Z# d d	l$m%Z% d d
lm&Z&m'Z'm(Z(m)Z)m*Z* d dl+m,Z,m-Z-m.Z.m/Z/ d dl0m1Z2 d dl3m4Z4 ejj                  jl                  Z6g Z7e8e9   e:d<   ejv                  jx                  jz                  Z= G d„ de«      Z>	 �d�dedej~                  de@fd„ZA e	eAej~                  j„                  d¬«      ZC e	eAej~                  j„                  ¬«      ZD e	eAej~                  jŠ                  ¬«      ZFde!deGde!fd„ZH e#e=j’                  «       e/d«      eDde!de!fd „«       «       «       ZI e#e=j”                  «       e/d«      eDde!de!fd!„«       «       «       ZJ e#e=j–                  «       e/d«      eDde!de!d"eLd#eLfd$„«       «       «       ZK e#e=jš                  «       e/d«      eDd%e!d&eLd'eLd(eLd)e@d*e!fd+„«       «       «       ZM e#e=jœ                  jž                  g«      d,„ «       ZP e#e=jœ                  jB                  g«      d-e!fd.„«       ZQ e#e=j¤                  «       e/«       eDd/e!de!fd0„«       «       «       ZR e#e=j¦                  «       e/d«      eDd%e!d/e!fd1„«       «       «       ZS e#e=j¨                  «       e/d«      d%e!d/e!d2eLd3eLfd4„«       «       ZT e#e=jª                  «       e/«       eDd/e!de!fd5„«       «       «       ZU e#e=j¬                  «       e/«       eDd%e!d/e!de!fd6„«       «       «       ZV e#e=j®                  «       e/d«      d%e!d/e!d#eLfd7„«       «       ZW e#e=j°                  «       e/d«      eDd%e!d/e!d8eLd9e@fd:„«       «       «       ZX e#e=j²                  «       e/d«      eD�džd;e!d/e!d<e9fd=„«       «       «       ZY e#e=j´                  «      eDd%e!d>e!fd?„«       «       ZZ e#e=j¶                  «       e/«       eDd/e!de!fd@„«       «       «       Z[ e#e=j¸                  «       e/d«      eDd%e!d/e!de!fdA„«       «       «       Z\ e#e=jº                  «      d/e!dBe!de!fdC„«       Z] e#e=j¼                  «      d%e!d/e!dBe!de_e!e!f   fdD„«       Z^ e#e=jÀ                  «       e/«       eDd%e!d/e!dEe!dFeLdGeLdHe@d9e@de!fdI„«       «       «       Z` e#e=jÂ                  «       e/d«      eDd%e!d/e!dJe!de!fdK„«       «       «       ZadLe!dMeGfdN„ZbdOejÆ                  fdP„Zd e#e=jÊ                  «       e/«       eDe>jÌ                  jÎ                  fd/e!dQe!dMeGde!fdR„«       «       «       Ze e#e=jÐ                  «       e/d«      eDd%e!d>e!dQe!dMeGfdS„«       «       «       Zh e#e=jÒ                  «      �dŸdT„«       Zj e#e=jÖ                  «       e/«       eDe>jÌ                  jÎ                  dUfd/e!dQe!dMeGd"eLfdV„«       «       «       Zk e#e=jØ                  jÚ                  «      eDd%e!d/e!dQe!dMeGd"eLf
dW„«       «       Zl e#e=jØ                  jÜ                  «      eDd%e!d/e!dQe!dMeGd"eLde!fdX„«       «       Zo e#e=jà                  jÚ                  «      eDd%e!d/e!dQe!dMeGdYeLf
dZ„«       «       Zp e#e=jà                  jâ                  «      eDd%e!d/e!dQe!dMeGdYeLde!fd[„«       «       Zrd%e!d/e!dQe!dBee!   dMeGd\eGd]e!de!fd^„Zs e#e=jè                  «       e/d«      eDd%e!d/e!deGde!fd_„«       «       «       Zt e#e=jê                  «       e/d«      d%e!d/e!dQe!dBee!   dMeGd\eGd]e!de!fd`„«       «       Zu e#e=jì                  «       e/d«      d%e!d/e!dQe!dBee!   dMeGd\eGd]e!de!fda„«       «       Zv e#e=jî                  «       e/«       eDde>jÌ                  jÎ                  fd/e!dQe!dBee!   dMeGde!f
db„«       «       «       Zw e#e=jð                  «       e/d«      eDde>jÌ                  jÎ                  fd%e!d/e!dQe!dBee!   dMeGde!fdc„«       «       «       Zx e#e=jò                  «       e/«       eDe>jÌ                  jÎ                  fd>e!dQe!dMeGde!fdd„«       «       «       Zy e#e=jô                  «       e/d«      eDe>jÌ                  jÎ                  fd%e!d/e!dQe!dMeGde!f
de„«       «       «       Zz e#e=jö                  «       e/«       �d d>e!dfe!dgeLfdh„«       «       Z{ e#e=jø                  «       e/«       die!dje!de!fdk„«       «       Z| e#e=jú                  «       e/«       d%e!dle8eG   deGdmeGdneGdoeGfdp„«       «       Z} e#e=jü                  jB                  «      	 	 	 	 �d¡d/e!deGdmeeG   dneeG   doeGf
dr„«       Zde!deGdmeeG   dneeG   de_eGeGf   f
ds„Z€ e#e=�j                  «       e/«       	 	 	 	 �d¡d>e!dte!deGdmeeG   dneeG   doeGfdu„«       «       Z� e#e=�j                  «       e/«       d%e!dle8eG   deGdveGfdw„«       «       Z‚ e#e=�j                  «       e/«       d%e!dle8eG   dxeGdyeGdzeGf
d{„«       «       Zƒd%e!de!d|ejÆ                  fd}„Z„ e#e=�j
                  «       e/d«      eCd%e!d~e!deGd|ejÆ                  fd„«       «       «       Z… e#e=�j                  «       e/«       eCd%e!d~e!deGd|ejÆ                  fd€„«       «       «       Z†d�„ Z‡ e#e=�j                  «       e/«       d>e!d‚e8eG   dƒe8eG   d„e8eG   d…e8eG   de!fd†„«       «       Zˆ e#e=�j                  «       e/«       eDd>e!d‡e8eG   d‚e8eG   dƒe8eG   d„e8eG   d…e8eG   de!fdˆ„«       «       «       Z‰ e#e=�j                  «       e/«       d%e!d‰e!d'eLfdŠ„«       «       ZŠ e#e=�j                  «       e/«       d;e!d‹e8eG   dŒeGd�eGdoeGde!fdŽ„«       «       Z‹ e#e=�j                  jÚ                  «      eD	 �dŸd%e!d/e!d�eeL   de!fd�„«       «       ZŒ e#e=�j                  «      e=�j                  jÚ                  �j                  e6�j                  «      e=�j                  jÚ                  �j                  e6�j                   «      d>e!dgeLd‘ee@   fd’„«       «       «       Z� e#e=�j"                  «       e/d“d”«      d>e!dgeLd‘ee@   fd•„«       «       Z‘ e#e=�j$                  «       e/«       de!deGd–e@fd—„«       «       Z’ e#e=�j&                  «       e/d¬˜«      de!deGd–e@fd™„«       «       Z“ e#e=�j(                  «       e/«       	 	 	 �d¢dBe!dše!d›eGdœe@d�e@de!fdž„«       «       Z” e#e=�j*                  «       e/«       d%e!dše!dŸeGd›eGdœe@f
d „«       «       Z•de8eG   fd¡„Z–d¢e8e!   deGd£eGde8e!   fd¤„Z—d¢e8e!   fd¥„Z˜d¢e8e!   deGfd¦„Z™d¢e8e!   deGd£eGfd§„Zš e#e=�j6                  jÚ                  e=�j6                  jâ                  g«      	 �dŸd¢e8e!   deGd£eGd¨ee!   de!f
d©„«       Z› e#e=�j8                  jÚ                  e=�j8                  jâ                  g«      	 	 �d£d/e!dªe8eG   deGd¨ee8e!      dee8e!      f
d«„«       Zœ e#e=�j:                  jB                  «      �d¤d>e!d¬eGdeGde_e!d­f   fd®„«       Z� e#e=�j<                  jÚ                  «      	 �d¤d>e!dªe8eG   deGde_e!d­f   fd¯„«       Zž e#e=�j>                  jB                  «      �d¤d/e!d¬eGdeGde_e!d­f   fd°„«       ZŸe=�j@                  �jB                  �j                  e6�j                  «      	 �d¤d/e!d±e!deGde_e!d­f   fd²„«       Z¢ e#e=�jF                  «       e/d¬˜«      eD�d¥d/e!d³e!d´e!d"eGd&eGf
dµ„«       «       «       Z£ e#e=�jH                  «       e/«       eD	 	 	 �d¦d/e!d³e!d´e!d"eGd&eGd¶e@fd·„«       «       «       Z¤ e#e=�jJ                  «       e/«       eD�d¥d/e!d³e!d¸e!d"eGd&eGf
d¹„«       «       «       Z¥ e#e=�jL                  jÚ                  «      eDd%e!d>e!dºe!d»e!d¼ee!   d½eGd¾eGd¿eGdÀeGdÁe8e@   de_ee!   ee!   ee!   f   fdÂ„«       «       Z¦ e#e=�jL                  jâ                  «      d%e!d>e!dºe!d»e!d¼ee!   d½eGd¾eGd¿eGdÀeGdÁe8e@   d“ejB                  d”ejB                  dÃejB                  de_ee!   ee!   ee!   f   fdÄ„«       Z§dee!   dee!   fdÅ„Z¨ e#e=�jR                  jÚ                  «      dÆe!d>e!dÇe8eG   dºe!d»e!dBee!   dÈee!   dÁe8e@   de_ee!   ee!   ee!   f   fdÉ„«       Z© e#e=�jR                  jâ                  «      dÆe!d>e!dÇe8eG   dºe!d»e!dBee!   dÈee!   dÁe8e@   d“ejB                  d”ejB                  dÃejB                  de_ee!   ee!   ee!   f   fdÊ„«       Zªd>e!dBee!   dÈee!   dËee!   dÌee!   dHe@dÍeLd�eLdÎe@de_e!e!e!ee!   ee!   f   fdÏ„Z« e#e=�jX                  «       e/d¨dÐdÑ«      d>e!dBee!   dÈee!   dËee!   dÌee!   dHe@dÍeLd�eLde_e!e!e!f   fdÒ„«       «       Z¬e=�jX                  jÚ                  �j                  e6�j                   «      e=�jX                  jÚ                  �j                  e6�j                  «      d>e!dBee!   dÈee!   dËee!   dÌee!   dHe@dÍeLd�eLde_e!e!e!f   fdÓ„«       «       Z­e=�j\                  jÚ                  �j                  e6�j                  «      �d¤de8e!   fdÔ„«       Z¯ e#e=�j`                  jÚ                  «      d>e!dBee!   dÈee!   dËe!dÌe!dÍeLd�eLde_e!e!e!f   fdÕ„«       Z° e#e=�jb                  jÚ                  «      d>e!dBee!   dÈee!   dËe!dÌe!dHe@dÍeLd�eLde_e!e!e!f   fdÖ„«       Z± e#e=�jb                  �jd                  «      d>e!dBee!   dÈee!   dHe@dÍeLd�eLde_e!e!e!f   fd×„«       Z³ e#e=�jh                  jÚ                  «      d>e!dBee!   dÈee!   dËe!dÌe!dHe@dÍeLd�eLde_e!e!e!e!e!f   fdØ„«       Z´d>e!dBee!   dÈee!   dËe!dÌe!d�eLdHe@de!fdÙ„Zµ e#e=�jl                  jÚ                  «      d>e!dBee!   dÈee!   dËe!dÌe!dÍeLd�eLde_e!e!e!e!f   fdÚ„«       Z¶ e#e=�jn                  jÚ                  «      d>e!dBee!   dÈee!   dËe!dÌe!dÍeLd�eLde_e!e!e!e!e!e!f   fdÛ„«       Z· e#e=�jp                  jÚ                  «      d>e!dBee!   dÈee!   dËe!dÌe!dÍeLd�eLde_e!e!e!e!f   fdÜ„«       Z¸ e#e=�jr                  «       e/d“d”«      eD�dŸdÝ„«       «       «       Zº e#e=�jv                  «       e/«       dddddddÞœdee!e'f   dOeejÆ                     dßee�jx                     dàe@dáe@dâee�jz                     fdã„«       «       Z» e#e=�j|                  e=�j~                  e=�j€                  g«       e/«       dä„ «       «       ZÁe=�j„                  jÚ                  �j                  e6�j                   «       e#e=�j„                  «       e/d“d”dÃdå«      d>e!dBe!dÈee!   dËee!   dÌee!   dHe@dæeLdçeLfdè„«       «       «       ZÂdé„ ZÃ e#e=�jˆ                  jÚ                  «      dÆe!d>e!dBee!   dËee!   dÌee!   dÐee!   dÑee!   d‘e@d�eLdÁe8e@   dêe!de_e!ee!   ee!   f   fdë„«       ZÄ e#e=�jŠ                  jÚ                  «      dÆe!d>e!dBee!   dËee!   dÌee!   dÐee!   dÑee!   d‘e@d�eLdÁe8e@   de_e!ee!   ee!   f   fdì„«       ZÅ e#e=�jŠ                  jâ                  «      dÆe!d>e!dBee!   dËee!   dÌee!   dÐee!   dÑee!   d‘e@d�eLdÁe8e@   d“ejB                  d”ejB                  dÃejB                  de_e!ee!   ee!   f   fdí„«       ZÆ e#e=�jŽ                  «       e/d“d”dÃ«      d>e!d%e!dBe!dËee!   dÌee!   dÐee!   dîee!   dçeLfdï„«       «       ZÇ e#e=�j�                  «       e/d“d”dÃ«      d>e!d%e!dBe!dËee!   dÌee!   dÐee!   dîee!   dçeLdðe!fdñ„«       «       ZÈ e#e=�j’                  «       e/«       eDd>e!d‡e_eGeGf   fdò„«       «       «       ZÊd/e)dše)d‡e8eG   deGfdó„ZË e#e=�j˜                  «       e/«       d/e)dše)d‡e8eG   fdô„«       «       ZÌ e#e=�jš                  «       e/«       d>e)dše)d‡e8eG   d…e8eG   d„e8eG   f
dõ„«       «       ZÍ e#e=�jœ                  «      dqdöœde)deGdve)d÷e)d&e'f
dø„«       ZÎ e#e=�jž                  «       e/«       dqdöœde)deGdve)d÷e)d&e'f
dù„«       «       ZÏdqdöœde)deGdve)d÷e)dúe@d&e'fdû„ZÐ e#e=�j¢                  jÚ                  «      e=�j¢                  jÚ                  �j                  e6�j                  «      �d§dü„«       «       ZÑ e#e=�j¤                  «      de)deGdve)d÷e)fdý„«       ZÒ e#e=�j¦                  «       e/«       de)deGdve)d÷e)fdþ„«       «       ZÓde)deGdve)d÷e)dúe@f
dÿ„ZÔ e#e=�jª                  «       e/d~dJ«      eDd/e!de_e!e!f   f�d „«       «       «       ZÕ e#e=�j¬                  «       e/«       	 	 	 �d¨de!�dee@eGeLf   �dee@eGeLf   �dee�j®                     f�d„«       «       ZÖ e#e=�j°                  «      �d©�d„«       ZØ�d„ ZÙ�d„ ZÚ e#e=�j¶                  �j¸                  «       e#e=�jº                  �j¸                  «       e#e=�j¼                  �j¸                  «      e=�j¶                  �j¸                  �j                  e6�j                  «      e=�j¶                  �j¸                  �j                  e6�j                   «      e=�jº                  �j¸                  �j                  e6�j                  «      e=�jº                  �j¸                  �j                  e6�j                   «      e=�j¼                  �j¸                  �j                  e6�j                  «      e=�j¼                  �j¸                  �j                  e6�j                   «      d>e!d‡ee8eG      �dee8eL      de!f�d	„«       «       «       «       «       «       «       «       «       Zß e#e=�jÀ                  �j¸                  «       e#e=�jÂ                  �j¸                  «       e#e=�jÄ                  �j¸                  «      e=�jÀ                  �j¸                  �j                  e6�j                  «      e=�jÀ                  �j¸                  �j                  e6�j                   «      e=�jÂ                  �j¸                  �j                  e6�j                  «      e=�jÂ                  �j¸                  �j                  e6�j                   «      e=�jÄ                  �j¸                  �j                  e6�j                  «      e=�jÄ                  �j¸                  �j                  e6�j                   «      d>e!d‡ee8eG      �dee8eL      de!f�d
„«       «       «       «       «       «       «       «       «       Zã�d��d„Zä e#e=�j¶                  jÚ                  e=�j¶                  jâ                  g«      e=�j¶                  jÚ                  �j                  e6�j                  «      e=�j¶                  jÚ                  �j                  e6�j                   «       e/dd�¬«      	 �dŸd>e!d‡e8eG   �deeL   de!f�d„«       «       «       «       ZÛ e#e=�jÀ                  jÚ                  e=�jÀ                  jâ                  g«      e=�jÀ                  jÚ                  �j                  e6�j                  «      e=�jÀ                  jÚ                  �j                  e6�j                   «       e/dd�¬«      	 �dŸd>e!d‡e8eG   �deeL   de!f�d„«       «       «       «       Zå e#e=�jº                  jÚ                  e=�jº                  jâ                  g«      e=�jº                  jÚ                  �j                  e6�j                  «      e=�jº                  jÚ                  �j                  e6�j                   «       e/dd�¬«      	 	 �dªd>e!d‡e8eG   �deeL   �deeL   de!f
�d„«       «       «       «       ZÝ e#e=�jÂ                  jÚ                  e=�jÂ                  jâ                  g«      e=�jÂ                  jÚ                  �j                  e6�j                  «      e=�jÂ                  jÚ                  �j                  e6�j                   «       e/dd�¬«      	 	 �dªd>e!d‡e8eG   �deeL   �deeL   de!f
�d„«       «       «       «       Zá e#e=�j¼                  jÚ                  e=�j¼                  jâ                  g«      e=�j¼                  jÚ                  �j                  e6�j                  «      e=�j¼                  jÚ                  �j                  e6�j                   «       e/dd�¬«      	 	 	 �d«d>e!d‡e8eG   �deeL   �deeL   �deeL   de!f�d„«       «       «       «       ZÞ e#e=�jÄ                  jÚ                  e=�jÄ                  jâ                  g«      e=�jÄ                  jÚ                  �j                  e6�j                  «      e=�jÄ                  jÚ                  �j                  e6�j                   «       e/dd�¬«      	 	 	 �d«d>e!d‡e8eG   �deeL   �deeL   �deeL   de!f�d„«       «       «       «       ZâeD	 �d�d>e!d‡e8eG   �de8eeL      �de@de!f
�d„«       Zæ�d„ Zç�d„ Zè�d„ Zé�d„ Zê	 �d��d„Zë�d„ Zì�d„ Zí�d��d „Zî�d��d!„Zï�d"„ Zð e#e=�jâ                  �jä                  «      e=�jâ                  �jä                  �j                  e6�j                  «      e=�jâ                  �jä                  �j                  e6�j                   «      �d#„ «       «       «       Zó e#e=�jè                  �jä                  «      e=�jè                  �jä                  �j                  e6�j                  «      e=�jè                  �jä                  �j                  e6�j                   «      �d$„ «       «       «       Zõ e#e=�jè                  �jì                  «      e=�jè                  �jì                  �j                  e6�j                  «      e=�jè                  �jì                  �j                  e6�j                   «      �d%„ «       «       «       Z÷ e#e=�jâ                  �jì                  «      e=�jâ                  �jì                  �j                  e6�j                  «      e=�jâ                  �jì                  �j                  e6�j                   «      �d&„ «       «       «       Zø�d'„ Zù�d��d(„Zú�d��d)„Zû�d*„ Zü e#e=�jú                  �jä                  «      e=�jú                  �jä                  �j                  e6�j                  «      e=�jú                  �jä                  �j                  e6�j                   «      �d+„ «       «       «       Zþ e#e=�jú                  �jì                  «      e=�jú                  �jì                  �j                  e6�j                  «      e=�jú                  �jì                  �j                  e6�j                   «      �d,„ «       «       «       Zÿ�d-„ �Z �d.„ �Z e#e=�j                  �jì                  «      e=�j                  �jì                  �j                  e6�j                  «      e=�j                  �jì                  �j                  e6�j                   «      �d/„ «       «       «       �Z e#e=�j                  �jä                  «      e=�j                  �jä                  �j                  e6�j                  «      e=�j                  �jä                  �j                  e6�j                   «      �d0„ «       «       «       �Z e#e=�j
                  �j¸                  «      e=�j
                  �j¸                  �j                  e6�j                  «      e=�j
                  �j¸                  �j                  e6�j                   «      �d1„ «       «       «       �Z e#e=�j                  �j¸                  «      e=�j                  �j¸                  �j                  e6�j                  «      e=�j                  �j¸                  �j                  e6�j                   «      �d2„ «       «       «       �Z e#e=�j                  �j¸                  «       e#e=�j                  �j¸                  «      e=�j                  �j¸                  �j                  e6�j                  «      e=�j                  �j¸                  �j                  e6�j                   «      e=�j                  �j¸                  �j                  e6�j                  «      e=�j                  �j¸                  �j                  e6�j                   «      e=�j                  �j¸                  �j                  e6�j                  «      e=�j                  �j¸                  �j                  e6�j                   «      �d3„ «       «       «       «       «       «       «       «       �Z e#e=�j                  jÚ                  e=�j                  jâ                  g«       e/«       	 �dŸd>e!d‡e8eG   �d4e@�deeL   de!f
�d5„«       «       �Z e#e=�j                  jÚ                  e=�j                  jâ                  g«      e=�j                  jÚ                  �j                  e6�j                   «       e/«       	 	 �dªd>e!d‡e8eG   �d4e@�deeL   �deeL   de!f�d6„«       «       «       �Z	 e#e=�j                  jÚ                  e=�j                  jâ                  g«       e/«       	 	 	 �d«d>e!d‡e8eG   �d4e@�deeL   �deeL   �deeL   de!f�d7„«       «       �Z
�dŸ�d8„�Z�d9„ �Zdtee!   �d:ee!   �d;e!de!f�d<„�Z�d:e*de!f�d=„�ZeDd>e!d‡e8eG   �d4e@�de8eeL      de!f
�d>„«       �Z e#e=�j$                  jÚ                  «      �d?e!�d@e!de@f�dA„«       �Z e#e=�j&                  e=�j(                  g«       e/«       �dB„ «       «       �Z e#e=�j*                  g«      �dC„ «       �Z e#e=�j,                  g«      �d��dD„«       �Z e#e=�j.                  g«      �dE„ «       �Z e#e=�j0                  g«      �dF„ «       �Zd/e!dQe!dBee!   dMeGd\eGde_e!e!f   f�dG„�Z e#e=�j4                  «       e/d~d]«      d/e!dQe!dBee!   dMeGd\eGde_e!e!f   f�dH„«       «       �Z e#e=�j6                  «       e/d~d]«      d/e!dQe!dBee!   dMeGd\eGde_e!e!f   f�dI„«       «       �Zde!�dJeLde!f�dK„�Zde!�dJeLde!f�dL„�Z�dMe!de*f�dN„�Z�dOe*�dPe!de!f�dQ„�Z�dPee!   de!f�dR„�Z �dSeG�d4e@dOejÆ                  dße�jx                  f�dT„�Z!�dUe!�dVeG�dWeG�d4e@f�dX„�Z"�dUe!�dYeG�dVeG�dWeG�d4e@f
�dZ„�Z#�dUe!d�e8eG   �d4e@f�d[„�Z$�dUe!d�e8eG   �d4e@f�d\„�Z% e#e=�jL                  «       e/«       eD�dUe!d�e8eG   �d4e@f�d]„«       «       «       �Z&	 	 	 	 �d¬�d?e!�d^e!�d_eG�d`eG�d4e@�dae@de!f�db„�Z' e#e=�jP                  «       e/«       eD	 	 	 �d­�d?e!�d^e!�d_eG�d`eG�d4e@de!f�dc„«       «       «       �Z( e#e=�jR                  «       e/«       eD�dd„ «       «       «       �Z) e#e=�jT                  «       e/«       dde>jÌ                  jÎ                  f�de„«       «       �Z*�dfejB                  �dgejB                  �dhe@de@f�di„�Z+e=�jX                  jÚ                  �j                  e6�j                  «      e=�jX                  jâ                  �j                  e6�j                  «       e/d�¬j«      d�dkœ�dl„«       «       «       �Z, e#e=�jZ                  jÚ                  e=�jZ                  jâ                  g«      e=�jZ                  jÚ                  �j                  e6�j                   «       e/«       eD	 	 �dªd>e!d‡e_eGeGf   �d4e@�dmeeL   �dneeL   de!f�do„«       «       «       «       �Z. e#e=�jZ                  �j¸                  «      e=�jZ                  �j¸                  �j                  e6�j                  «      e=�jZ                  �j¸                  �j                  e6�j                   «       e/«       eD	 �dŸ�d?e!d‡ee_eGeGf      �d4e@�dee_eLeLf      de!f
�dp„«       «       «       «       «       �Z/ e#e=�j`                  «       e#e=�jb                  «       e#e=�jd                  «      eD e/«       �d?e!d„e_eGd­f   de!f�dq„«       «       «       «       «       �Z3 e#e=�jh                  «       e#e=�jj                  «       e#e=�jl                  «      eD e/«       �d?e!d„e_eGd­f   de!f�dr„«       «       «       «       «       �Z7�d?e!d„e_eGd­f   �dseeGeGeGge!f   de!f�dt„�Z8 e#e=�jr                  «       e#e=�jt                  «       e#e=�jv                  «       e/d«      �du„ «       «       «       «       �Z< e#e=�jz                  «       e/�dv�dw«      dd�dxœ�dy„«       «       �Z= e#e=�j|                  «       e/«       �d®d�dzœ�d{„«       «       �Z> e#e=�j~                  jÚ                  e=�j~                  jâ                  g«       e/«       de�j€                  dd�d|œdne'dOeejÆ                     �d}e�j‚                  dßee�jx                     dàe@f
�d~„«       «       �ZB e#e=�j~                  �j†                  g«      de�j€                  dd�d|œdme'dne'dOeejÆ                     �d}e�j‚                  dßee�jx                     dàe@f�d„«       �ZD e#e%«      �d€„ «       �ZE e#e=�jŒ                  «      e=�jŒ                  jÚ                  �j                  e6�j                   «       e/«       dqdqde>jÌ                  jÎ                  fd>e!dQe!dge'�d�e'dBee!   dMeGde!f�d‚„«       «       «       �ZF e#e=�jŽ                  «      e=�jŽ                  jÚ                  �j                  e6�j                   «       e/d~�dƒ«      d>e!dQe!dMeGde_e!e!f   f�d„„«       «       «       �ZG e#e=�j�                  jÚ                  «      	 	 �d¯dd�d…œ�d†e!�d‡e!d-e!�dˆeL�d‰e@�dŠee!   d'eeL   de_e!e!f   f�d‹„«       �ZI�dŒ„ �ZJ e#e=�j–                  g«       e/«       eD�d¥�d�„«       «       «       �ZK e#e=�j˜                  «       e/«       �dŽ„ «       «       �ZL e#e=�jš                  «      �d�„ «       �ZM e#e=�jœ                  jÚ                  e=�jœ                  jâ                  g«      dd�d�œd/e!dOeejÆ                     d¨ee!   de!f�d‘„«       �ZO e#e=�j                   jÚ                  e=�j                   �j¢                  g«      �dŸd/e!deeG   f�d’„«       �ZR e#ejx                  jz                  �j¦                  «      �d¤�d“„«       �ZS e#e=�j¨                  «       e/«       dd�d”œ�d•„«       «       �ZT e#e=�jª                  jÚ                  «      d�d–œd/ejB                  �dee�j®                     dejB                  f�d—„«       �ZUd�d˜œ�d™„�ZVdd�d”œ�dš„�ZW e#e=�j°                  «       e/«       �d›„ «       «       �ZX e#e=�j²                  «      �dŸ�dœ„«       �ZY �eJe=�j´                  e=�j¶                  «        �eJe=�j¸                  e=�jF                  «        �eJe=�jº                  e=�jJ                  «        �eJe=�j¼                  e=�j–                  «        �eJe=�j¾                  e=jœ                  «        �eJe=�jÀ                  e=�jÂ                  «        �eJe=�jÄ                  e=jª                  «        �eJe=�jÆ                  e=�jÈ                  «        �eJe=�jÊ                  e=j¤                  «        �eJe=�jÌ                  e=�jÎ                  «        �eJe=�jÐ                  e=�jÒ                  «        �eJe=�jÔ                  e=�jÖ                  «        �eJe=�jØ                  e=�jÚ                  «        �eJe=�jÜ                  e=�jÞ                  «        �eJe=�jà                  e=�jâ                  «        �eJe=�jä                  e=�jæ                  «        �eJe=�jè                  e=�jê                  «        �eJe=�jì                  e=�jî                  «        �eJe=�jð                  e=�jò                  «        �eJe=�jô                  e=�jö                  «        �eJe=�jø                  e=�jú                  «        �eJe=�jü                  e=�jþ                  «        �eJe=�j                   e=�j                  «        �eJe=�j                  e=�j                  «        �eJe=�j                  e=j¶                  «       y(°  é    N)ÚIterable)ÚEnum)ÚpartialÚreduce)ÚchainÚproduct)ÚAnyÚCallableÚcastÚOptionalÚUnion)Ú	sym_floatÚsym_intÚTensor©Úregister_decomposition)Ú	out_dtype)ÚIntLikeÚ
NumberTypeÚsuggest_memory_formatÚ
TensorLikeÚTensorSequenceType)Ú_maybe_convert_to_dtypeÚ_maybe_resize_outÚ_safe_copy_outÚout_wrapper)Ú_pytree)Útree_mapÚ__all__c                   ó   — e Zd ZdZdZdZy)Ú	Reductionr   é   é   N)Ú__name__Ú
__module__Ú__qualname__ÚNONEÚMEANÚSUM© ó    úZ/var/www/skyplay_api_hub/venv/lib/python3.12/site-packages/torch/_decomp/decompositions.pyr!   r!   0   s   „ Ø€DØ€DØ
�Cr+   r!   FÚfÚtype_promotionÚcompute_dtype_onlyc                 óJ   ‡ ‡‡— t        j                  ‰ «      ˆˆ ˆfd„«       }|S )Nc                  ó  •‡‡— t        j                  | i |¤ŽD �cg c]  }t        |t        «      sŒ|‘Œ }}t	        j
                  |d‰iŽ\  ŠŠˆfd„}ˆfd„} ‰
t        || «      i t        ||«      ¤Ž}‰	r|S t        ||«      S c c}w )NÚtype_promotion_kindc                 óJ   •— t        | t        «      r| j                  ‰«      S | S ©N©Ú
isinstancer   Úto)ÚxÚcomputation_dtypes    €r,   Úincrease_precz0type_casts.<locals>.inner.<locals>.increase_precH   s"   ø€ Ü˜!œVÔ$Ø—t‘tÐ-Ó.Ð.à�r+   c                 óJ   •— t        | t        «      r| j                  ‰«      S | S r4   r5   )r8   Úresult_dtypes    €r,   Údecrease_precz0type_casts.<locals>.inner.<locals>.decrease_precN   s!   ø€ Ü˜!œVÔ$Ø—t‘t˜LÓ)Ð)à�r+   )ÚpytreeÚarg_tree_leavesr6   r   ÚutilsÚelementwise_dtypesr   )ÚargsÚkwargsr8   Ú	flat_argsr:   r=   Úrr9   r<   r/   r-   r.   s          @@€€€r,   Úinnerztype_casts.<locals>.inner>   sŸ   ú€ ô ×-Ñ-¨tÐ>°vÑ>ö
ØÄ*ÈQÔPVÕBWŠAð
ˆ	ð 
ô +0×*BÑ*BØð+
Ø,:ñ+
Ñ'Ð˜<ô
	ô	ñ Œx˜ tÓ,ÐP´¸ÈÓ0OÑPˆÙØˆHä˜M¨1Ó-Ð-ùò1
s
   ›B±B)Ú	functoolsÚwraps)r-   r.   r/   rF   s   ``` r,   Ú
type_castsrI   9   s'   ú€ ô
 ‡_�_�QÓõ.ó ð.ð6 €Lr+   T)r.   r/   )r.   r8   ÚdimÚreturnc                 ój   — t        || j                  «       z
  «      D ]  }| j                  d«      } Œ | S ©Néÿÿÿÿ)ÚrangerJ   Ú	unsqueeze)r8   rJ   Ú_s      r,   Ú_unsqueeze_to_dimrR   k   s2   € Ü�3˜Ÿ™›‘=Ó!ò ˆØ�K‰K˜‹O‰ðà€Hr+   Ú
grad_inputÚout_gradÚyc                 ó4   — | d||z  z
  j                  «       z  S ©Nr"   ©Úconj_physical©rT   rU   s     r,   Útanh_backwardr[   q   s    € ð �q˜1˜q™5‘y×/Ñ/Ó1Ñ1Ð1r+   c                 ó4   — | |d|z
  z  j                  «       z  S rW   rX   rZ   s     r,   Úsigmoid_backwardr]   x   s    € ð �q˜A ™E‘{×1Ñ1Ó3Ñ3Ð3r+   ÚbetaÚ	thresholdc                 ót   — ||z  j                  «       }t        j                  ||z  |kD  | | |z  |dz   z  «      S ©Nç      ð?)ÚexpÚtorchÚwhere)rT   r8   r^   r_   Úzs        r,   Úsoftplus_backwardrg      s=   € ð 
ˆT‰�‰Ó€AÜ�;‰;˜˜D™ IÑ-¨x¸ÀA¹ÈÈSÉÑ9QÓRÐRr+   Úgrad_outputÚalphaÚscaleÚinput_scaleÚ	is_resultÚself_or_resultc                 óÜ   — ||z  }|}|}|r&t        j                  |dk  | |z  ||z   z  | |z  «      S t        j                  |dk  | |z  |z  t        j                  ||z  «      z  | |z  «      S ©Nr   )rd   re   rc   )	rh   ri   rj   rk   rl   rm   ÚnegcoefÚposcoefÚ
negiptcoefs	            r,   Úelu_backwardrs   ‡   s�   € ð �e‰m€GØ€GØ€JÙÜ�{‰{Ø˜aÑØ˜*Ñ$¨¸Ñ(@ÑAØ˜'Ñ!ó
ð 	
ô �{‰{Ø˜aÑØ˜*Ñ$ wÑ.´·±¸>ÈJÑ;VÓ1WÑWØ˜'Ñ!ó
ð 	
r+   c                 ó.   — t        j                  | |«      S r4   )rd   Ú	full_like©ÚselfÚvalues     r,   Úfill_scalarry   £   s   € ä�?‰?˜4 Ó'Ð'r+   rx   c                 ó„   ‡— t        j                  ‰j                  «       dk(  ˆfd„«       t        j	                  | ‰«      S )Nr   c                  ó,   •— d‰ j                  «       › d�S )Nz@fill only supports 0-dimension value tensor but got tensor with z dimensions©rJ   )rx   s   €r,   ú<lambda>zfill_tensor.<locals>.<lambda>¬   s   ø€ ÐRÐSX×S\ÑS\ÓS^ÐR_Ð_jÐk€ r+   )rd   Ú_checkrJ   ÚatenÚcopyrv   s    `r,   Úfill_tensorr�   ¨   s3   ø€ ä	‡L�LØ�	‰	‹�qÑÛkôô �9‰9�T˜5Ó!Ð!r+   rw   c                 óf   — t        j                  t        j                  | dz   d¬«      d¬«      dz  S ©Né   r   ©Úminé   ©Úmax©rd   Úclamp©rw   s    r,   Úhardsigmoidr�   ±   s)   € ô �;‰;”u—{‘{ 4¨!¡8°Ô3¸Ô;¸aÑ?Ð?r+   c                 óH   — t        j                  |dkD  |dk  z  | dz  d«      S )Ng      Àg      @gUUUUUUÅ?ç        ©rd   re   ©rh   rw   s     r,   Úhardsigmoid_backwardr’   ¸   s0   € ô �;‰;Ø	�‰˜ ™Ñ$Ø�yÑ!Øóð r+   Úmin_valÚmax_valc                 óB   — t        j                  ||k  ||k\  z  d| «      S )Nr�   r�   )rh   rw   r“   r”   s       r,   Úhardtanh_backwardr–   Ã   s$   € ô
 �;‰;˜ ™¨D°G©OÑ<¸cÀ;ÓOÐOr+   c                 ól   — | t        j                  t        j                  | dz   d¬«      d¬«      z  dz  S rƒ   rŠ   rŒ   s    r,   Ú	hardswishr˜   Ë   s.   € ð ”%—+‘+œeŸk™k¨$°©(¸Ô:ÀÔBÑBÀQÑFÐFr+   c           
      óx   — t        j                  |dk  dt        j                  |dk  | |dz  dz   z  | «      «      S )Néýÿÿÿr�   r„   ç      à?r�   r‘   s     r,   Úhardswish_backwardrœ   Ò   sA   € ô �;‰;Øˆr‰	ØÜ�‰�D˜A‘I˜{¨t°a©x¸3Ñ.>Ñ?ÀÓMóð r+   c                 ó6   — t        j                  ||k  d| «      S ro   r�   )rh   rw   r_   s      r,   Úthreshold_backwardrž   Ý   s   € ô �;‰;�t˜yÑ(¨!¨[Ó9Ð9r+   Únegative_slopeÚself_is_resultc                 ó<   — t        j                  |dkD  | | |z  «      S ro   r�   )rh   rw   rŸ   r    s       r,   Úleaky_relu_backwardr¢   ã   s    € ô �;‰;�t˜a‘x ¨k¸NÑ.JÓKÐKr+   ÚgradÚapproximatec                 óŒ  — d}d}d}|dk(  ri||z  dz  }d}||z  }||z  }	||||	z  z   z  }
t        j                  |
«      }d|z  }d|z   }d|z  }d||z  z
  }|dd|z  |z  z   z  }||z  |z  }| ||z   z  S |}||z  dz  }ddt        j                  ||z  «      z   z  }|t        j                  ||z  d	z  «      z  }| |||z  z   z  S )
NgÍ;fž ö?gÍ;fž æ?gm›BP×ò?Útanhr›   g÷Hmâä¦?r"   r„   g      à¿)rd   r¦   Úerfrc   )r£   rw   r¤   ÚM_SQRT2Ú	M_SQRT1_2Ú
M_2_SQRTPIÚkBetaÚkKappaÚx_sqÚx_cuberF   Ú
tanh_innerÚleftÚrightÚleft_derivativeÚtanh_derivativeÚinner_derivativeÚright_derivativeÚkAlphaÚcdfÚpdfs                        r,   Úgelu_backwardr¹   ì   s'  € ð %€GØ&€IØ'€JØ�fÒØ˜*Ñ$ sÑ*ˆØˆØ�d‰{ˆØ˜‘ˆØ˜ ¨¡Ñ/Ñ0ˆÜ—Z‘Z Ó&ˆ
à�T‰zˆØ�J‘ˆà ™+ˆà˜j¨:Ñ5Ñ5ˆØ  A¨¨F©
°TÑ(9Ñ$9Ñ:ÐØ /Ñ1Ð4DÑDÐà�Ð)9Ñ9Ñ:Ð:àˆØ˜YÑ&¨Ñ,ˆØ�QœŸ™ 4¨&¡=Ó1Ñ1Ñ2ˆØ”e—i‘i  t¡¨dÑ 2Ó3Ñ3ˆØ�s˜T C™ZÑ'Ñ(Ð(r+   Úinputc                 ó¨   — t        j                  t        j                  |«      «      }t        j                  |«      }||z  d||z  z
  z  }| ||z   z  S rW   )rd   r¦   ÚFÚsoftplusÚsigmoid)rh   rº   Úinput_tanh_softplusÚinput_sigmoidÚouts        r,   Úmish_backwardrÂ     sV   € ô  Ÿ*™*¤Q§Z¡Z°Ó%6Ó7ÐÜ—M‘M %Ó(€MØ
�-Ñ
 1Ð':Ð=PÑ'PÑ#PÑ
Q€CØÐ-°Ñ3Ñ4Ð4r+   c                 ó2   — | t        j                  | «      z  S r4   )rd   r¾   rŒ   s    r,   ÚsilurÄ     s   € ð ”%—-‘- Ó%Ñ%Ð%r+   c                 ó\   — ddt        j                  | «      z   z  }| |z  d|d|z
  z  z   z  S rW   )rd   rc   )rh   rw   r¾   s      r,   Úsilu_backwardrÆ     s<   € ð �1”u—y‘y $ Ó'Ñ'Ñ(€GØ˜Ñ  A¨°°G±Ñ(<Ñ$<Ñ=Ð=r+   Úweightc                 ó<   — t        j                  | dkD  | || z  «      S ro   r�   )rw   rÇ   s     r,   Ú_prelu_kernelrÉ   %  s   € ä�;‰;�t˜a‘x  v°¡}Ó5Ð5r+   c                 ó~   — t        j                  |dkD  | || z  «      }t        j                  |dkD  d|| z  «      }||fS )Nr   r�   r�   )rh   rw   rÇ   Ú
input_gradÚweight_grads        r,   Ú_prelu_kernel_backwardrÍ   *  sE   € ô —‘˜T A™X {°F¸[Ñ4HÓI€JÜ—+‘+˜d Q™h¨¨T°KÑ-?Ó@€KØ˜Ð$Ð$r+   ÚnoiseÚlowerÚupperÚtrainingc                 óx   — |r||z
  dkD  r| j                  |«      S ||z   dz  }t        j                  | |||«      S )Ng�íµ ÷Æ°>r#   )Úmulr   r¢   )rh   rw   rÎ   rÏ   rÐ   rÑ   r    rŸ   s           r,   Úrrelu_with_noise_backwardrÔ   5  sK   € ñ �E˜E‘M DÒ(Ø�‰˜uÓ%Ð%à %™-¨1Ñ,ˆÜ×'Ñ'Ø˜˜~¨~ó
ð 	
r+   Úbufferc                 óÜ   — |dk  }t        j                  |dd«      }t        j                  |dd«      }t        j                  t        j                  |«       «      }| |||d|z   z  z  z
  z  S )Nr   r"   rN   )rd   re   rc   Úabs)rh   rw   rÕ   Úin_negativeÚ	max_derivÚsignrf   s          r,   Úlog_sigmoid_backwardrÛ   J  sg   € ð ˜‘(€KÜ—‘˜K¨¨AÓ.€IÜ�;‰;�{ A rÓ*€DÜ�	‰	”5—9‘9˜T“?Ð"Ó#€AØ˜) d¨a°1°q±5©kÑ&:Ñ:Ñ;Ð;r+   ÚlossÚ	reductionc                 óÎ   — |t         j                  j                  k(  rt        j                  | «      S |t         j
                  j                  k(  rt        j                  | «      S | S r4   )r!   r(   rx   rd   Úmeanr)   Úsum)rÜ   rÝ   s     r,   Úapply_loss_reductionrá   W  sH   € Ø”I—N‘N×(Ñ(Ò(Ü�z‰z˜$ÓÐØ	”i—m‘m×)Ñ)Ò	)Ü�y‰y˜‹Ðàˆr+   Údtypec                 óÖ   — | t         j                  k(  rt         j                  S | t         j                  k(  rt         j                  S | t         j
                  k(  rt         j                  S y r4   )rd   Ú	complex32Úfloat16Ú	complex64Úfloat32Ú
complex128Úfloat64©râ   s    r,   Úto_real_dtyperë   `  sK   € Ø”—‘ÒÜ�}‰}ÐØ	”%—/‘/Ò	!Ü�}‰}ÐØ	”%×"Ñ"Ò	"Ü�}‰}Ðð 
#r+   Útargetc                 ó*   — | |z
  dz  }t        ||«      S )Nr#   )rá   )rw   rì   rÝ   rÜ   s       r,   Úmse_lossrî   o  s   € ð �6‰M˜aÑ€DÜ  iÓ0Ð0r+   c                 ó|   — |t         j                  j                  k(  rd|j                  «       z  nd}|||z
  z  | z  S )Nç       @)r!   r(   rx   Únumel)rh   rº   rì   rÝ   Únorms        r,   Úmse_loss_backwardró   y  s;   € ð #,¬y¯~©~×/CÑ/CÒ"Cˆ3�—‘“ÒÈ€DØ�5˜6‘>Ñ" [Ñ0Ð0r+   c                 óî   — t        j                  | ||¬«      }| j                  t        d«      «      }t        j                  ||d¬«      }t        j
                  |«      }t        j                  |||«      S )N)rJ   râ   z-infT©rJ   Úkeepdim)rd   ÚsoftmaxÚeqÚfloatÚallÚ
zeros_likere   )rw   rJ   râ   rÁ   ÚmaskedÚmasked_rowsÚzeross          r,   Úsafe_softmaxrÿ   ƒ  s[   € ä
�-‰-˜ #¨UÔ
3€CØ�W‰W”U˜6“]Ó#€FÜ—)‘)˜F¨°TÔ:€KÜ×Ñ˜SÓ!€EÜ�;‰;�{ E¨3Ó/Ð/r+   rb   c                 ó’   — | |z
  j                  «       }t        j                  ||k  d|dz  z  |z  |d|z  z
  «      }t        ||«      S )Nr›   r#   )r×   rd   re   rá   )rw   rì   rÝ   r^   rÜ   s        r,   Úsmooth_l1_lossr  Œ  sO   € ð �6‰M×ÑÓ €DÜ�;‰;�t˜d‘{ C¨$°©'¡M°DÑ$8¸$ÀÀtÁÑ:KÓL€DÜ  iÓ0Ð0r+   c                 ó  — |t         j                  j                  k(  rd|j                  «       z  nd}||z
  }t	        j
                  |«      }|| z  }t	        j                  ||k  ||z  |z  |t	        j                  |«      z  «      S ra   )r!   r(   rx   rñ   rd   r×   re   rÚ   )	rh   rw   rì   rÝ   r^   rò   r8   Úabs_xÚ	norm_grads	            r,   Úsmooth_l1_loss_backwardr  š  s{   € ð
 "+¬i¯n©n×.BÑ.BÒ!Bˆ3�—‘“ÒÈ€DØˆv‰€AÜ�I‰I�a‹L€EØ�{Ñ"€IÜ�;‰;Ø�‰Ø�A‰˜ÑØ”E—J‘J˜q“MÑ!óð r+   c                 óh   — t        | ||||«      }t        ||j                  «       t        ||d¬«      S ©NT©Ú	copy_fromÚcopy_toÚexact_dtype)r  r   Úshaper   )rh   rw   rì   rÝ   r^   rS   Úresults          r,   Úsmooth_l1_loss_backward_outr  ª  s3   € ô % [°$¸À	È4ÓP€FÜ�j &§,¡,Ô/Ü F°JÈDÔQÐQr+   Údeltac           
      óü   — |t         j                  j                  k(  rd|j                  «       z  nd}||z
  }t	        j
                  || k  | | z  |z  t	        j
                  ||kD  || z  |z  ||z  | z  «      «      S ra   )r!   r(   rx   rñ   rd   re   )rh   rw   rì   rÝ   r  rò   r8   s          r,   Úhuber_loss_backwardr  ¹  s€   € ð
 "+¬i¯n©n×.BÑ.BÒ!Bˆ3�—‘“ÒÈ€DØˆv‰€AÜ�;‰;Ø	ˆUˆF‰
Ø	ˆ�Ñ˜eÑ#Ü�‰�A˜‘I˜t kÑ1°EÑ9¸4À!¹8ÀkÑ;QÓRóð r+   c                 óh   — t        | ||||«      }t        ||j                  «       t        ||d¬«      S r  )r  r   r  r   )rh   rw   rì   rÝ   r  rS   r  s          r,   Úhuber_loss_backward_outr  È  s3   € ô ! ¨d°F¸IÀuÓM€FÜ�j &§,¡,Ô/Ü F°JÈDÔQÐQr+   Úignore_indexÚtotal_weightc                 ó‚  — |j                  «       dk  rdnd}|t        j                  j                  k(  r| |z  } |j	                  |«      }t        j                  ||k7  |d«      }t        j                  |«      }	t        j                  |	||d«      }	|	j                  «       | j                  «       cxkD  rdkD  rn n| j	                  |«      } |�Nt        |j                  «       «      D �
cg c]  }
d‘Œ }}
|j                  d   ||<   |j                  |«      }| |z  } t        j                  ||k7  | d«      } |	| z  S c c}
w )Nr#   r   r"   g      ð¿)rJ   r!   r(   rx   rP   rd   re   rû   ÚscatterrO   r  Úreshape)rh   rw   rì   rÇ   rÝ   r  r  Úchannel_dimÚsafe_targetrS   rQ   Ú	new_shapes               r,   Ú_nll_loss_backwardr  ×  s  € ð —x‘x“z A’~‘!¨1€KØ”I—N‘N×(Ñ(Ò(Ø! LÑ0ˆà×Ñ˜kÓ*€FÜ—+‘+˜f¨Ñ4°f¸aÓ@€KÜ×!Ñ! $Ó'€JÜ—‘˜z¨;¸ÀTÓJ€Jà‡~�~Ó˜+Ÿ/™/Ó+Ô/¨aÕ/Ø!×+Ñ+¨KÓ8ˆàÐÜ % d§h¡h£jÓ 1Ö2˜1’QÐ2ˆ	Ð2Ø!'§¡¨a¡ˆ	�+ÑØ—‘ 	Ó*ˆØ! FÑ*ˆä—+‘+˜f¨Ñ4°kÀ1ÓE€Kà˜Ñ#Ð#ùò 3s   Ã*	D<c                 ó¢  — |j                  «       dkD  sJ d«       ‚t        j                  |j                  «       |«      }|j                  |«      }|dz  dk(  sJ d|› d|› �«       ‚|dz  }|j	                  |d|«      }|j	                  |||«      }t        j                  |«      }d|z
  |z  |z  | z  }	|| z  }t        j                  ||	g|¬«      S )Nr   z*glu does not support 0-dimensional tensorsr#   z.Halving dimension must be even, but dimension z	 is size rb   r|   )rJ   r@   Úcanonicalize_dimÚsizeÚnarrowrd   r¾   Úcat)
rh   rw   rJ   Úwrap_dimÚnInÚ	inputSizeÚ	firstHalfÚ
secondHalfÚgradInputFirstHalfÚgradInputSecondHalfs
             r,   Úglu_backwardr)  ÷  sê   € ð �8‰8‹:˜Š>ÐGÐGÓGˆ>Ü×%Ñ% d§h¡h£j°#Ó6€HØ
�)‰)�HÓ
€CØ�‰7�aŠ<ð Ø
8¸¸
À)ÈCÈ5ÐQóˆ<ð �q‘€IØ—‘˜H a¨Ó3€IØ—‘˜X y°)Ó<€JÜŸ™ zÓ2Ðà	Ð!Ñ	!Ð%7Ñ7¸)ÑCÀkÑQð ð ,¨kÑ9ÐÜ�9‰9Ð(Ð*=Ð>ÀHÔMÐMr+   c           	      óì  — d|j                  «       cxk  rdk  sJ d«       ‚ J d«       ‚|j                  «       dk  sJ d«       ‚|j                  «       dk(  xr |j                  «       dk(  }|sA|j                  d   |j                  d   k(  s"J d|j                  › d|j                  › d�«       ‚|j                  «       dk(  s'J d	|j                  › d
|j                  «       › d�f«       ‚|�'|j                  «       |j                  d   k(  sJ d«       ‚|t        j                  j
                  k(  r}|j                  «       dk(  rj| j                  «       dk(  r| j                  d   |j                  d   k(  srJ d|j                  d   › d| j                  «       › d| j                  d   › �«       ‚| j                  «       dk  r| j                  «       dk(  sJ d| j                  › �«       ‚t        | ||||||«      S )Nr   r#   úinput tensor should be 1D or 2Dr"   ú;0D or 1D target tensor expected, multi-target not supportedúsize mismatch (got input: ú
, target: ú)ú:expected total_weight to be a single element tensor, got: z (z
 elements)rN   z<weight tensor should be defined either for all or no classesz7Expected a tensor of dimension 1 and tensor.size[0] == z but got: dimension z and tensor.size[0] == z7Expected a single element grad_output tensor, but got: )rJ   r  rñ   r!   r'   rx   r  )rh   rw   rì   rÇ   rÝ   r  r  Úno_batch_dims           r,   Únll_loss_backwardr2    s  € ð �—‘“
Ô˜aÒÐBÐ!BÓBÑÐBÐ!BÓBÐØ�:‰:‹<˜1Òð ØEóÐð —8‘8“: ‘?Ò8 v§z¡z£|°qÑ'8€LÙ˜DŸJ™J q™M¨V¯\©\¸!©_Ò<ð Ø
$ T§Z¡Z L°
¸6¿<¹<¸.ÈÐJóÐ=ð ×ÑÓ 1Ò$ð ØDØ×ÑÐ
˜b ×!3Ñ!3Ó!5Ð 6°jÐAð'ó Ð$ð
 ˆ>˜VŸ\™\›^¨t¯z©z¸"©~Ò=ð ØFóÐ=ð ”I—N‘N×(Ñ(Ò(¨T¯X©X«Z¸1ª_Ø�‰Ó  AÒ%¨+×*;Ñ*;¸AÑ*>À$Ç*Á*ÈQÁ-Ò*Oð 	
ØEÀdÇjÁjÐQRÁmÀ_ð UØ)Ÿo™oÓ/Ð0Ð0GÈ×HYÑHYÐZ[ÑH\ÐG]ð_ó	
ÐOð
 �‰Ó  AÒ%¨+×*;Ñ*;Ó*=ÀÒ*Bð 	
ØEÀk×FWÑFWÐEXÐYó	
ÐBô Ø�T˜6 6¨9°lÀLóð r+   c           	      ó>  — |j                  «       dk(  sJ d|j                  «       › �«       ‚|j                  «       dk(  sJ d|j                  «       › �«       ‚|j                  d   |j                  d   k(  r>|j                  d   |j                  d   k(  r|j                  d   |j                  d   k(  s!J d|j                  › d	|j                  › �«       ‚|j                  «       dk(  s&J d
|j                  › d|j                  «       › d�«       ‚t        | ||||||«      S )Né   zSonly batches of spatial inputs supported (4D tensors), but got input of dimension: r„   zUonly batches of spatial targets supported (3D tensors) but got targets of dimension: r   r#   r"   r-  r.  r0  z ( z, elements))rJ   r  rñ   r  )rh   rw   rì   rÇ   rÝ   r  r  s          r,   Únll_loss2d_backwardr5  8  s@  € ð �8‰8‹:˜Š?ð Ø
]Ð^b×^fÑ^fÓ^hÐ]iÐjóˆ?ð �:‰:‹<˜1Òð Ø
_Ð`f×`jÑ`jÓ`lÐ_mÐnóÐð
 	�
‰
�1‰˜Ÿ™ a™Ò(Ø�J‰J�q‰M˜VŸ\™\¨!™_Ò,Ø�J‰J�q‰M˜VŸ\™\¨!™_Ò,ðIð 
$ D§J¡J <¨z¸&¿,¹,¸ÐHó	Ið	-ð
 ×ÑÓ 1Ò$ð ð	Ø×"Ñ"Ð# 3 |×'9Ñ'9Ó';Ð&<¸Kð	IóÐ$ô
 Ø�T˜6 6¨9°lÀLóð r+   c           	      ó"  — |dz
  t        j                  t        j                  |  «      | j                  dd«      «      z  |t        j                  t        j                  | «      | j                  dd«      «      z  z
  }|�||z  }t        ||«      S )Nr"   r*   iœÿÿÿ)rd   ÚmaximumÚlog1pÚnew_fullÚlográ   )rw   rì   rÇ   rÝ   rÜ   s        r,   Úbinary_cross_entropyr;  [  s‚   € ð �Q‰Jœ%Ÿ-™-Ü�‰�T�EÓ˜DŸM™M¨"¨dÓ3óñ à”—‘œuŸy™y¨›°·±¸bÀ$Ó0GÓHÑHñI€Dð ÐØ�f‰}ˆÜ  iÓ0Ð0r+   c                 óÄ   — d}| ||z
  z  t        j                  |d|z
  z  |¬«      z  }|�||z  }|t        j                  j                  k(  r||j                  «       z  }|S )Ngê-�™—q=r"   r…   )rd   r‹   r!   r(   rx   rñ   )rh   rw   rì   rÇ   rÝ   ÚEPSILONr  s          r,   Úbinary_cross_entropy_backwardr>  q  sg   € ð €GØ˜D 6™MÑ*¬U¯[©[¸ÀÀTÁÑ9JÐPWÔ-XÑX€FØÐØ˜&‘ˆØ”I—N‘N×(Ñ(Ò(Ø˜$Ÿ*™*›,Ñ&ˆØ€Mr+   c                 ór   — t        j                  t        j                  |  |z  «      «      }t        ||«      S r4   )rd   r8  rc   rá   )rº   rì   rÝ   rÜ   s       r,   Úsoft_margin_lossr@  „  s.   € ô �;‰;”u—y‘y % ¨&¡Ó1Ó2€DÜ  iÓ0Ð0r+   c                 ó¨   — || z  t        j                  ||z  «      dz
  z  }|t        j                  j                  k(  r||j                  «       z  }|S rW   )rd   r¾   r!   r(   rx   rñ   )rh   rw   rì   rÝ   rS   s        r,   Úsoft_margin_loss_backwardrB  �  sM   € ð ˜+Ñ%¬¯©°vÀ±}Ó)EÈÑ)IÑJ€JØ”I—N‘N×(Ñ(Ò(Ø $§*¡*£,Ñ.ˆ
ØÐr+   ÚotherÚpc                 ó6   — t         j                  | |z
  |¬«      S )N)rD  )r   rò   )rº   rC  rD  s      r,   ÚdistrF  Ÿ  s   € ô �9‰9�U˜U‘] aˆ9Ó(Ð(r+   Úx1Úx2c                 ó  — | j                  d«      j                  dd«      }t        j                  |t        j                  ¬«      }|j                  d«      j                  dd«      }t        j                  |t        j                  ¬«      }t        j
                  | j                  d«      ||gd«      }t        j
                  |||gd«      }|j                  |j                  «      }|j                  d«      j                  «       S )Nr#   rN   T©Úmemory_formatéþÿÿÿr   )Úpowrà   rd   Ú	ones_likeÚcontiguous_formatr!  rÓ   ÚmatmulÚmTÚ	clamp_minÚsqrt)	rG  rH  Úx1_normÚx1_padÚx2_normÚx2_padÚx1_Úx2_r  s	            r,   Ú_euclidean_distrZ  ¥  sÂ   € ð �f‰f�Q‹i�m‰m˜B Ó%€GÜ�_‰_˜W´E×4KÑ4KÔL€FØ�f‰f�Q‹i�m‰m˜B Ó%€GÜ�_‰_˜W´E×4KÑ4KÔL€FÜ
�)‰)�R—V‘V˜B“Z ¨&Ð1°2Ó
6€CÜ
�)‰)�R˜ Ð)¨2Ó
.€CØ�Z‰Z˜Ÿ™Ó€FØ×Ñ˜AÓ×#Ñ#Ó%Ð%r+   Úinput_sizesÚstartÚendÚstepc                 óX   — | j                  |«      }t        j                  || ||||«      S r4   )Ú	new_zerosrd   Úslice_scatter)rh   r[  rJ   r\  r]  r^  rS   s          r,   Úslice_backwardrb  ²  s/   € ð ×&Ñ& {Ó3€JÜ×Ñ˜z¨;¸¸UÀCÈÓNÐNr+   r"   c                 ó  — ddl m}m} | j                  «       }|dk(  rt	        d«      ‚t        j                  | j                  «       |«      }t        | j                  «       «      }t        | j                  «       «      }	|dk  rt	        d«      ‚|�|nd}
|�|nt        j                  } ||
dk  «      r|
||   z  }
 ||dk  «      r|||   z  } ||
dk  «      rd}
n ||
||   kD  «      r||   }
 |||
k  «      r|
}n, ||t        j                  k(  «      s ||||   kD  «      r||   }| j                  «       |
|	|   z  z   }||
z
  }||z   dz
  |z  ||<   |	|xx   |z  cc<   | j                  rt        d«      ‚| j                  ||	|«      S )Nr   )Úguard_size_obliviousÚstatically_known_truez,slice() cannot be applied to a 0-dim tensor.zslice step must be positiver"   z<Slice decomposition for quantized tensors aren't implemented)Ú%torch.fx.experimental.symbolic_shapesrd  re  rJ   ÚRuntimeErrorr@   r  Úlistr  ÚstrideÚsysÚmaxsizeÚstorage_offsetÚis_quantizedÚNotImplementedErrorÚ
as_strided)rw   rJ   r\  r]  r^  rd  re  ÚndimÚsizesÚstridesÚ	start_valÚend_valrl  Úlens                 r,   Úslice_forwardrv  À  s¦  € ÷ð
 �8‰8‹:€DØˆq‚yÜÐIÓJÐJÜ
×
 Ñ
  §¡£¨SÓ
1€CÜ�—‘“Ó€EÜ�4—;‘;“=Ó!€Gàˆq‚yÜÐ8Ó9Ð9àÐ*‘°€IØ�_‰c¬#¯+©+€Gá˜I¨™MÔ*Ø�U˜3‘ZÑˆ	á˜G a™KÔ(Ø�5˜‘:Ñˆá˜I¨™MÔ*Ø‰	Ù	˜i¨%°©*Ñ4Ô	5Ø˜#‘Jˆ	á˜G iÑ/Ô0Ø‰Ù	˜w¬#¯+©+Ñ5Ô	6Ñ:NØ�%˜‘*Ñô;ð ˜‘*ˆà×(Ñ(Ó*¨Y¸À¹Ñ-EÑE€NØ
�IÑ
€CØ˜‘*˜q‘. TÑ)€Eˆ#�JØˆCƒL�DÑƒLà×ÒÜ!ØJó
ð 	
ð �‰˜u g¨~Ó>Ð>r+   c                 ón   ‡— | j                   |   Šdt        fˆfd„} ||d‰d«      } |||‰‰«      }||fS )zn
    Normalize start and end such that both are in the range
    [0, x.get_size()[dim]] and start <= end.
    rK   c                 óL   •— | €|S | dk  r| ‰z   } t        t        | |«      |«      S ro   ©r†   r‰   )ÚvalrÏ   rÐ   ÚdefaultÚdim_sizes       €r,   Ú
clamp_wrapz(_normalize_start_end.<locals>.clamp_wrap  s0   ø€ Øˆ;ØˆNØ�Š7Ø˜‘.ˆCÜ”3�s˜E“? EÓ*Ð*r+   r   )r  Úint)r8   rJ   r\  r]  r}  r|  s        @r,   Ú_normalize_start_endr  ú  sJ   ø€ ð �w‰w�s‰|€Hð+´#õ +ñ �u˜a ¨1Ó-€EÙ
�S˜% ¨8Ó
4€CØ�#ˆ:Ðr+   Úsrcc           	      ó|  — t        j                  | j                  |«      }| j                  |   }t	        | |||«      \  }}t        | j                  «      }||z
  |dz
  z   |z  ||<   |j                  |«      }|dk(  r||k(  r|dk(  r|j                  «       S d g| j                  «       z  }t        j                  || j                  ¬«      }	|	|z
  |z  ||<   t        j                  || j                  t        j                  ¬«      }
|dk7  rt        j                  |
|	|k\  «      }
||k7  rt        j                  |
|	|k  «      }
|dk7  rt        j                  |
|	|z
  |z  dk(  «      }
dg| j                  «       z  }d||<   |
j                  |«      }
t         j#                  |
t         j%                  ||
|d«      | «      S )Nr"   r   ©Údevice©rƒ  râ   rN   )r@   r  rp  r  r  rh  ÚexpandÚclonerJ   rd   Úarangerƒ  ÚonesÚboolÚlogical_andÚviewr   re   Ú_unsafe_masked_index)rº   r€  rJ   r\  r]  r^  r|  Úsrc_sizeÚindicesÚidxÚmaskÚ
mask_shapes               r,   ra  ra    s’  € ô ×
 Ñ
  §¡¨SÓ
1€CØ�{‰{˜3Ñ€HÜ% e¨S°%¸Ó=�J€Eˆ3ä�E—K‘KÓ €HØ˜5‘[ D¨1¡HÑ-°$Ñ6€HˆS�MØ
�*‰*�XÓ
€Cà�‚z�c˜X’o¨$°!ª)Ø�y‰y‹{Ðàˆf�u—y‘y“{Ñ"€GÜ
�,‰,�x¨¯©Ô
5€CØ˜%‘K DÑ(€GˆC�Lä�:‰:�h u§|¡|¼5¿:¹:ÔF€DØ�‚zÜ× Ñ   s¨e¡|Ó4ˆà
ˆh‚Ü× Ñ   s¨S¡yÓ1ˆàˆq‚yÜ× Ñ  ¨¨e©°tÑ';¸qÑ'@ÓAˆà��u—y‘y“{Ñ"€JØ€Jˆs�OØ�9‰9�ZÓ €DÜ�:‰:�dœD×5Ñ5°c¸4ÀÈ!ÓLÈeÓTÐTr+   Úindexc                 óT   — | j                  |«      }t        j                  || ||«      S r4   )r`  rd   Úselect_scatter)rh   r[  rJ   r’  rS   s        r,   Úselect_backwardr•  :  s+   € ð ×&Ñ& {Ó3€JÜ×Ñ 
¨K¸¸eÓDÐDr+   ÚoffsetÚdim1Údim2c                 óV   — | j                  |«      }t        j                  || |||«      S r4   )r`  rd   Údiagonal_scatter)rh   r[  r–  r—  r˜  rS   s         r,   Údiagonal_backwardr›  A  s-   € ð
 ×&Ñ& {Ó3€JÜ×!Ñ! *¨k¸6À4ÈÓNÐNr+   Úinput_dtypec                 óF   — | j                   |k7  r|j                  |«      }|S r4   )râ   r7   )rh   rS   rœ  s      r,   Ú_cast_grad_to_input_dtyperž  J  s&   € ð ×Ñ˜KÒ'Ø—]‘] ;Ó/ˆ
ØÐr+   Úoutputc                 ó~   — | |z  }||t        j                  ||d¬«      z  z
  }t        | ||«      j                  «       S ©NTrõ   )rd   rà   rž  Ú
contiguous)rh   rŸ  rJ   rœ  Únew_grad_outputrS   s         r,   Ú_softmax_backward_datar¤  R  sK   € ð " FÑ*€OØ  6¬E¯I©IØ˜S¨$ô-ñ $ñ €Jô % [°*¸kÓJ×UÑUÓWÐWr+   c                 ó~   — | t        j                  |«      t        j                  | |d¬«      z  z
  }t        | ||«      S r¡  )rd   rc   rà   rž  )rh   rŸ  rJ   rœ  rS   s        r,   Ú_log_softmax_backward_datar¦  d  sA   € ð œuŸy™y¨Ó0´5·9±9Ø˜ dô4ñ  ñ €Jô % [°*¸kÓJÐJr+   c                 óì   — | |dz  z   ||dz
  z  z
  }t        t        j                  t        j                  |¬«      } |d||«      j	                  d«      } |d||z  |«      j	                  d«      }	||	z   S )z/Utility function to implement im2col and col2imr#   r"   ©râ   rƒ  r   rN   )r   rd   r‡  Úint64rP   )
Úinput_dÚkernel_dÚ
dilation_dÚ	padding_dÚstride_drƒ  Úblocks_dÚ	arange_kwÚblocks_d_indicesÚkernel_grids
             r,   Ú _im2col_col2im_indices_along_dimr³  p  s   € ð ˜ Q™Ñ&¨°xÀ!±|Ñ)DÑD€HäœŸ™¬E¯K©KÀÔG€Iñ !  H¨hÓ7×AÑAÀ!ÓDÐñ ˜A˜x¨*Ñ4°jÓA×KÑKÈBÓO€Kð ˜kÑ)Ð)r+   Úkernel_sizeÚdilationÚpaddingri  c           
      óî  ‡‡‡‡‡‡— t        j                  t        ‰«      dk(  d„ «       t        j                  t        ‰«      dk(  d„ «       t        j                  t        ‰«      dk(  d„ «       t        j                  t        ‰«      dk(  d„ «       dd„} |‰d«        |‰d«        |‰d	d
¬«        |‰d«       | j                  Št        ‰«      }t        j                  |dv xr t	        d„ ‰dd  D «       «      ˆfd„«       t        d„ t        ‰dd  ‰‰‰‰«      D «       «      Št        j                  t	        d„ ‰D «       «      ˆˆˆˆˆˆfd„«       |dk(  }|s| j                  d«      } | j                  \  }}	}
}‰\  }}‰\  }}‰\  }}‰\  }}t        |
||||| j                  «      }t        |||||| j                  «      }t        j                  | ||||f«      }|j                  d«      j                  d«      }|d d …d d …||f   }|j                  dddddd«      }|j                  d«      }|j                  d«      }|j                  ||	|z  |z  ||z  «      }|s|j                  d«      }|S )Nr#   c                   ó   — y)Nz"im2col(): only 2D kernel supportedr*   r*   r+   r,   r}   zim2col.<locals>.<lambda>Œ  ó   � r+   c                   ó   — y)Nz$im2col(): only 2D dilation supportedr*   r*   r+   r,   r}   zim2col.<locals>.<lambda>�  r¹  r+   c                   ó   — y)Nz#im2col(): only 2D padding supportedr*   r*   r+   r,   r}   zim2col.<locals>.<lambda>Ž  r¹  r+   c                   ó   — y)Nz"im2col(): only 2D stride supportedr*   r*   r+   r,   r}   zim2col.<locals>.<lambda>�  r¹  r+   c                 ó~   — |rt        d„ | D «       «      nt        d„ | D «       «      }t        j                  |d„ «       y )Nc              3   ó&   K  — | ]	  }|d kD  –— Œ y­w©r   Nr*   ©Ú.0rD  s     r,   ú	<genexpr>z1im2col.<locals>.check_positive.<locals>.<genexpr>’  ó   è ø€ Ò(˜Q�1�q•5Ñ(ùó   ‚c              3   ó&   K  — | ]	  }|d k\  –— Œ y­wr¿  r*   rÀ  s     r,   rÂ  z1im2col.<locals>.check_positive.<locals>.<genexpr>’  ó   è ø€ Ò;RÀq¸AÀ½FÑ;RùrÄ  c                   ó   — y)Nz<{param_name} should be greater {'than' zero, but got {param}r*   r*   r+   r,   r}   z0im2col.<locals>.check_positive.<locals>.<lambda>”  r¹  r+   ©rú   rd   r~   ©ÚparamÚ
param_nameÚstrictÚconds       r,   Úcheck_positivezim2col.<locals>.check_positive‘  s3   € Ù,2ŒsÑ( %Ô(Ô(¼Ñ;RÈEÔ;RÓ8RˆÜ�‰ØÑXõ	
r+   r´  rµ  r¶  F©rÌ  ri  ©r„   r4  c              3   ó&   K  — | ]	  }|d k7  –— Œ y­wr¿  r*   ©rÁ  Úds     r,   rÂ  zim2col.<locals>.<genexpr>Ÿ  ó   è ø€ Ò:¨!˜q A�vÑ:ùrÄ  rš   c                  ó    •— dt        ‰ «      › �S )NzmExpected 3D or 4D (batch mode) tensor for input with possible 0 batch size and non-zero dimensions, but got: ©Útuple©r  s   €r,   r}   zim2col.<locals>.<lambda>   ó   ø€ ð -Ü-2°5«\¨Nð<€ r+   c              3   ó\   K  — | ]$  \  }}}}}d |d|z  z   ||d z
  z  z
  d z
  |z  z   –— Œ& y­w)r"   r#   Nr*   )rÁ  rÁ   ÚpadÚdilÚkerÚsts         r,   rÂ  zim2col.<locals>.<genexpr>£  sF   è ø€ ò á"ˆC��c˜3 ð 	
ˆS�1�s‘7‰]˜S C¨!¡G™_Ñ,¨qÑ0°RÑ7Õ7ñùs   ‚*,rL  c              3   ó&   K  — | ]	  }|d kD  –— Œ y­wr¿  r*   )rÁ  Úcs     r,   rÂ  zim2col.<locals>.<genexpr>ª  s   è ø€ Ò'�aˆA��EÑ'ùrÄ  c                  óF   •— dt        ‰dd  «      › d‰› d‰ › d‰› d‰› d‰› d�S )	Nz!Given an input with spacial size rL  ú, kernel_size=ú, dilation=ú
, padding=ú	, stride=z9, the calculated shape of the array of sliding blocks is z*, but its components must be at least one.rÖ  )rµ  r´  Úoutput_sizer¶  r  ri  s   €€€€€€r,   r}   zim2col.<locals>.<lambda>«  sL   ø€ Ð3´E¸%ÀÀ¸*Ó4EÐ3Fð GØ"�m ;¨x¨jð 9Ø�)˜9 V Hð -àˆ]ÐDð	F€ r+   r4  r   rN   r"   r„   é   ©T)rd   r~   ru  r  rú   r×  ÚziprP   r³  rƒ  r¼   rÛ  Úpermuter  r  Úsqueeze)rº   r´  rµ  r¶  ri  rÎ  rp  Úbatched_inputÚ	batch_dimr  Úinput_hÚinput_wÚstride_hÚstride_wÚ	padding_hÚ	padding_wÚ
dilation_hÚ
dilation_wÚkernel_hÚkernel_wÚblocks_row_indicesÚblocks_col_indicesÚpadded_inputrŸ  Únum_blocks_rowÚnum_blocks_colræ  r  s    ````                     @@r,   Úim2colrý  ƒ  s~  ý€ ô 
‡L�L”�[Ó! QÑ&Ñ(TÔUÜ	‡L�L”�X“ !Ñ#Ñ%SÔTÜ	‡L�L”�W“ Ñ"Ñ$QÔRÜ	‡L�L”�V“ Ñ!Ñ#OÔPó
ñ �; Ô.Ù�8˜ZÔ(Ù�8˜Y¨uÕ5Ù�6˜8Ô$à�K‰K€EÜˆu‹:€DÜ	‡L�LØ�ˆÒ:œ3Ñ:¨u°R°S¨zÔ:Ó:ó	<ôô
 ñ ä&)Ø�"�#ˆJ˜ ¨;¸ó'
ôó €Kô 
‡L�LÜÑ'˜;Ô'Ó'÷	Fð 	Fôð ˜A‘I€MÙØ—‘ Ó"ˆà/4¯{©{Ñ,€Iˆ{˜G WàÑ€HˆhØ"Ñ€IˆyØ%Ñ€J�
Ø$Ñ€Hˆhä9Ø�˜: y°(¸E¿L¹LóÐô :Ø�˜: y°(¸E¿L¹LóÐô —5‘5˜ ¨I°yÀ)Ð LÓM€Là+×5Ñ5°bÓ9×CÑCÀBÓGÐØš!šQÐ 2Ð4FÐFÑG€FØ�^‰^˜A˜q ! Q¨¨1Ó-€FØ'×,Ñ,¨QÓ/€NØ'×,Ñ,¨QÓ/€NØ�^‰^Ø�; Ñ)¨HÑ4°nÀ~Ñ6Uó€Fñ Ø—‘ Ó"ˆØ€Mr+   ræ  c                 ó®  ‡‡‡‡‡‡!‡"— t        j                  t        ‰«      dk(  d„ «       t        j                  t        ‰«      dk(  d„ «       t        j                  t        ‰«      dk(  d„ «       t        j                  t        ‰«      dk(  d„ «       t        j                  t        ‰«      dk(  d„ «       dd„} |‰d	«        |‰d
«        |‰dd¬«        |‰d«        |‰d«       | j                  Š"t        ‰"«      }t        j                  |dv xr t	        d„ ‰"dd  D «       «      ˆ"fd„«       ‰d   ‰d   z  }t        j                  ‰"d   |z  dk(  ˆˆ"fd„«       t        ‰‰‰‰‰«      D �	�
���cg c]"  \  }	}
}}}d|	d|
z  z   ||dz
  z  z
  dz
  |z  z   ‘Œ$ }}}}
}	}|d   |d   z  Š!t        j                  ‰"d   ‰!k(  ˆ!ˆˆˆˆˆ"ˆfd„«       t        j                  ‰!dkD  ˆ!ˆˆˆˆˆ"ˆfd„«       |dk(  }|s| j                  d«      } | j                  Š"‰\  }}‰\  }}‰\  }}‰\  }}‰\  }}| j                  ‰"d   ‰"d   |z  g‰z   |z   «      } | j                  dddddd«      } t        |||||| j                  «      }t        |d«      }t        |||||| j                  «      }t        ‰‰«      D ��cg c]  \  }}|d|z  z   ‘Œ }}}| j                  ‰"d   ‰"d   t        ‰«      z  g|z   «      }d d ||f} t        j                  || | d¬«      }t!        j"                  || | | | f«      }|s|j%                  d«      }|S c c}}}}
}	w c c}}w )Nr#   c                   ó   — y)Nzonly 2D output_size supportedr*   r*   r+   r,   r}   zcol2im.<locals>.<lambda>à  r¹  r+   c                   ó   — y)Nzonly 2D kernel supportedr*   r*   r+   r,   r}   zcol2im.<locals>.<lambda>á  r¹  r+   c                   ó   — y)Nzonly 2D dilation supportedr*   r*   r+   r,   r}   zcol2im.<locals>.<lambda>â  r¹  r+   c                   ó   — y)Nzonly 2D padding supportedr*   r*   r+   r,   r}   zcol2im.<locals>.<lambda>ã  r¹  r+   c                   ó   — y)Nzonly 2D stride supportedr*   r*   r+   r,   r}   zcol2im.<locals>.<lambda>ä  r¹  r+   Tc                 ó~   — |rt        d„ | D «       «      nt        d„ | D «       «      }t        j                  |d„ «       y )Nc              3   ó&   K  — | ]	  }|d kD  –— Œ y­wr¿  r*   rÀ  s     r,   rÂ  z1col2im.<locals>.check_positive.<locals>.<genexpr>ç  rÃ  rÄ  c              3   ó&   K  — | ]	  }|d k\  –— Œ y­wr¿  r*   rÀ  s     r,   rÂ  z1col2im.<locals>.check_positive.<locals>.<genexpr>ç  rÆ  rÄ  c                   ó   — y)Nz9{param_name} should be greater than zero, but got {param}r*   r*   r+   r,   r}   z0col2im.<locals>.check_positive.<locals>.<lambda>é  r¹  r+   rÈ  rÉ  s       r,   rÎ  zcol2im.<locals>.check_positiveæ  s3   € Ù,2ŒsÑ( %Ô(Ô(¼Ñ;RÈEÔ;RÓ8RˆÜ�‰ØÑUõ	
r+   r´  rµ  r¶  FrÏ  ri  ræ  )r#   r„   c              3   ó&   K  — | ]	  }|d k7  –— Œ y­wr¿  r*   rÒ  s     r,   rÂ  zcol2im.<locals>.<genexpr>õ  rÔ  rÄ  rL  c                  ó    •— dt        ‰ «      › �S )NzmExpected 2D or 3D (batch mode) tensor for input with possible 0 batch size and non-zero dimensions, but got: rÖ  rØ  s   €r,   r}   zcol2im.<locals>.<lambda>ö  rÙ  r+   r   r"   c                  ó   •— d‰d   › d‰ › �S )Nz|Expected size of input's first non-batch dimension to be divisible by the product of kernel_size, but got input.shape[-2] = rL  z and kernel_size=r*   )r´  r  s   €€r,   r}   zcol2im.<locals>.<lambda>ü  s#   ø€ ð =Ø=BÀ2¹Y¸Kð HØ"�mð%€ r+   rN   c                  ó:   •— d‰› d‰› d‰› d‰› d‰› d‰ › d‰d   › d	�S ©
NzGiven output_size=râ  rã  rä  rå  z , expected input.size(-1) to be ú	 but got rN   ú.r*   ©ÚLrµ  r´  ræ  r¶  r  ri  s   €€€€€€€r,   r}   zcol2im.<locals>.<lambda>	  óF   ø€ Ð$ [ M°À¸}ð MØ�:˜Z¨ y°	¸&¸ð B)Ø)*¨¨9°U¸2±Y°K¸qðB€ r+   c                  ó:   •— d‰› d‰› d‰› d‰› d‰› d‰ › d‰d   › d	�S r  r*   r  s   €€€€€€€r,   r}   zcol2im.<locals>.<lambda>  r  r+   r„   r4  rç  ©Ú
accumulaterè  )rd   r~   ru  r  rú   ré  rP   r  rê  r³  rƒ  rR   r`  Úprodr   Ú_unsafe_index_putr¼   rÛ  rë  )#rº   ræ  r´  rµ  r¶  ri  rÎ  rp  Úprod_kernel_sizerÁ   rÛ  rÜ  rÝ  rÞ  Úcolrì  Úout_hÚout_wrð  rñ  rò  ró  rô  rõ  rö  r÷  Úindices_rowÚindices_colÚorD  Úoutput_padded_sizerŸ  r�  r  r  s#    `````                           @@r,   Úcol2imr  Õ  s�  þ€ ô 
‡L�L”�[Ó! QÑ&Ñ(OÔPÜ	‡L�L”�[Ó! QÑ&Ñ(JÔKÜ	‡L�L”�X“ !Ñ#Ñ%IÔJÜ	‡L�L”�W“ Ñ"Ñ$GÔHÜ	‡L�L”�V“ Ñ!Ñ#EÔFó
ñ �; Ô.Ù�8˜ZÔ(Ù�7˜I¨eÕ4Ù�6˜8Ô$Ù�; Ô.à�K‰K€EÜˆu‹:€DÜ	‡L�LØ�ˆÒ:œ3Ñ:¨u°R°S¨zÔ:Ó:ó	<ôð
 # 1‘~¨°A©Ñ6ÐÜ	‡L�LØˆb‰	Ð$Ñ$¨Ñ)ô	%ôô '*Ø˜ (¨K¸ó'
÷ò á"ˆC��c˜3 ð 	
ˆS�1�s‘7‰]˜S C¨!¡G™_Ñ,¨qÑ0°RÑ7Ó7ð€Cô ð 	ˆA‰��Q‘‰€AÜ	‡L�LØˆb‰	�Q‰÷	Bñ 	Bôô 
‡L�LØ	ˆA‰÷	Bñ 	Bôð ˜A‘I€MÙØ—‘ Ó"ˆà�K‰K€Eà�L€Eˆ5ØÑ€HˆhØ"Ñ€IˆyØ%Ñ€J�
Ø$Ñ€Hˆhð �M‰M˜5 ™8 U¨1¡XÐ1AÑ%AÐBÀ[ÑPÐSVÑVÓW€EØ�M‰M˜!˜Q  1 a¨Ó+€Eä2Øˆx˜ Y°¸%¿,¹,ó€Kô $ K°Ó3€KÜ2Øˆx˜ Y°¸%¿,¹,ó€Kô 14°KÀÓ0I×J©¨¨1˜!˜a !™e›)ÐJÐÑJØ�_‰_Ø	ˆq‰�5˜‘8œt KÓ0Ñ0Ð1Ð4FÑFó€Fð ��{ KÐ
0€CÜ×#Ñ# F¨C°À4Ð#ÓH€FÜ�U‰U�6˜Y˜J¨¨
°Y°JÀÀ
ÐKÓL€FáØ—‘ Ó"ˆØ€MùökùóV Ks   Å6'MÊ9Mr�  c                 óz   — | |j                  | «      |z  z  j                  t        j                  | «      ¬«      }|S ©NrJ  )Útype_asr†  r@   r   )rh   r�  rj   rE   s       r,   Únative_dropout_backwardr#  8  sB   € ð 
˜Ÿ™ [Ó1°EÑ9Ñ	:×AÑAÜ×1Ñ1°+Ó>ð 	Bó 	€Að €Hr+   Ú
input_sizeÚ	dimensionr  c                 ó  — t        |«      dk(  rt        j                  | d«      S t        j                  t        |«      |«      }t        j
                  ||   | j                  t        j                  ¬«      }|j                  d||«      j                  «       }| j                  d|dz   «      j                  ||dz   «      } | j                  |«      }d|z  |fz   }t        j                  ||| d¬«      j                  «       S )Nr   r„  rN   r"   r4   Tr  )ru  rd   Úsqueeze_copyr@   r  r‡  rƒ  Úint32ÚunfoldÚflattenÚmovedimr`  r   r  r¢  )	r£   r$  r%  r  r^  rJ   r�  rS   r’  s	            r,   Úunfold_backwardr,  G  sÚ   € ô
 ˆ:ƒ˜!ÒÜ×!Ñ! $¨Ó*Ð*Ü
×
 Ñ
 ¤ Z£°)Ó
<€CÜ
�,‰,�z #‘¨t¯{©{Ä%Ç+Á+Ô
N€CØ
�*‰*�Q˜˜dÓ
#×
+Ñ
+Ó
-€CØ�<‰<˜˜C !™GÓ$×,Ñ,¨S°#¸±'Ó:€Dð —‘ 
Ó+€JØ�c‰M˜S˜FÑ"€EÜ×!Ñ! *¨e°TÀdÐ!ÓK×VÑVÓXÐXr+   Úepsc           
      ó.  — |�A|}d|z
  }t        j                  t        j                  ||k\  ||k  «      | |d|z
  z  z  d«      S t        j                  t        j                  |dk\  |dk  «      | |d|z
  z  z  |j                  dt	        d«      «      «      S )Nrb   r�   r*   Únan)rd   re   rŠ  r9  rù   )rh   rw   r-  ÚloÚhis        r,   Úlogit_backwardr2  Z  s¢   € ð
 €ØˆØ�2‰XˆÜ�{‰{Ü×Ñ˜d b™j¨$°"©*Ó5Ø˜4 3¨¡:Ñ.Ñ/Øó
ð 	
ô �{‰{Ü×Ñ˜d c™k¨4°3©;Ó7Ø˜4 3¨¡:Ñ.Ñ/Ø�M‰M˜"œe E›lÓ+ó
ð 	
r+   Útrainc                 ód   — |r|dk7  rt         j                  | ||«      d   S | j                  «       S ro   )r   Únative_dropoutr†  )rº   rD  r3  s      r,   Údropoutr6  o  s3   € ñ ��a’Ü×"Ñ" 5¨!¨UÓ3°AÑ6Ð6à�{‰{‹}Ðr+   Úout0Úout1c                 ó„  — |r˜|dk7  r“|dk(  r:t        j                  | «      t        j                  | t         j                  ¬«      fS | j                  j                  st        d«      ‚t        j                  | «      |kD  }|| z  t        dd|z
  z  «      z  }||fS | t        j                  | t         j                  ¬«      fS )Nr   r"   rê   z?result type Float can't be cast to the desired output type Longrb   )	rd   rû   r‰  râ   Úis_floating_pointrg  Ú	rand_likerù   rN  )rº   rD  r3  Ú	bool_maskÚress        r,   r5  r5  y  s®   € ñ ��a’Ø�Š6Ü×$Ñ$ UÓ+¬U×-=Ñ-=¸eÌ5Ï:É:Ô-VÐWÐWØ�{‰{×,Ò,ÜØQóð ô —O‘O EÓ*¨QÑ.ˆ	Ø˜%Ñ¤%¨¨s°Q©w©Ó"8Ñ8ˆØ�YÐÐà”u—‘ u´E·J±JÔ?Ð@Ð@r+   Úhalf_to_floatc                 óü  — | j                  «       } |r| j                  t        j                  k(  sJ ‚t	        j
                  | t        j                  j                  ¬«      \  }}| j                  |«      } | j                  «       dk(  rt        j                  | «      }n0t        j                  | |d¬«      }t        j                  | |z
  «      }|t        j                  ||d¬«      z  }|s|j                  |«      }|S ©N©r2   r   T)rö   )r¢  râ   rd   Úhalfr@   rA   ÚELEMENTWISE_TYPE_PROMOTION_KINDÚDEFAULTr7   rñ   rc   Úamaxrà   )r8   rJ   r>  r9   r<   ÚunnormalizedÚx_maxr  s           r,   Ú_softmaxrH  Š  sË   € ð
 	
�‰‹€AÙØ�w‰wœ%Ÿ*™*Ò$Ð$Ð$Ü&+×&>Ñ&>Ø	œu×DÑD×LÑLô'Ñ#Ð�|ð 	
�‰ÐÓ€AØ‡w�wƒy�A‚~Ü—y‘y “|‰ä—
‘
˜1˜c¨4Ô0ˆÜ—y‘y  U¡Ó+ˆØœEŸI™I l°CÀÔFÑF€FÙØ—‘˜<Ó(ˆØ€Mr+   )r  c                 ó   — | j                  «       } |r| j                  t        j                  k(  sJ ‚t	        j
                  | t        j                  j                  ¬«      \  }}| j                  |«      } | j                  «       dk(  r| }nt        j                  | |d¬«      }| |z
  }t        j                  t        j                  t        j                  |«      |d¬«      «      }||z
  }|s|j                  |«      }|S r@  )r¢  râ   rd   rB  r@   rA   rC  rD  r7   rñ   rE  r:  rà   rc   )	r8   rJ   r>  r9   r<   ÚshiftedrG  Úshifted_logsumexpr  s	            r,   Ú_log_softmaxrL  ¡  sÓ   € ð
 	
�‰‹€AÙØ�w‰wœ%Ÿ*™*Ò$Ð$Ð$Ü&+×&>Ñ&>Ø	œu×DÑD×LÑLô'Ñ#Ð�|ð 	
�‰ÐÓ€AØ‡w�wƒy�A‚~Ø‰ä—
‘
˜1˜c¨4Ô0ˆØ�e‘)ˆÜŸ	™	¤%§)¡)¬E¯I©I°gÓ,>ÀÈTÔ"RÓSÐØÐ(Ñ(€FÙØ—‘˜<Ó(ˆØ€Mr+   rŽ  Úpadding_idxÚscale_grad_by_freqÚsparsec                 óÆ   — | j                  «       dk(  sJ d«       ‚|j                  dk  r4| j                  d|«      }|j                  dk(  r|j                  d«      }|S | |   S )Nr#   z'weight' must be 2-Dr"   r   )rJ   rp  Úindex_selectrë  )rÇ   rŽ  rM  rN  rO  rÁ   s         r,   Ú	embeddingrR  ¹  sd   € ð �:‰:‹<˜1ÒÐ4Ð4Ó4Ðà‡|�|�qÒà×!Ñ! ! WÓ-ˆØ�<‰<˜1ÒØ—+‘+˜a“.ˆCØˆ
à�g‰Ðr+   Únum_weightsc                 ót  — t        j                  | t         j                  j                  ¬«      \  }}| j	                  |«      } t        |t        j                  «      }|rZ|j                  |f«      }t        j                  |«      }t        j                  ||g|d¬«      }||   }	| |	j                  d«      z  } t        ||k(  | j                  «      }
| j                  |
d«      }| j                  |f| j                   |j                  d  z   «      }t        j                  ||g|d¬«      j	                  |«      S )NrA  Tr  rN   r   )r@   rA   rC  rD  r7   r   rd   Úlongr`  rN  r   r  rP   rR   rp  Úmasked_fillr  )rh   rŽ  rS  rM  rN  r9   r<   Úcountsrˆ  Úgrad_weights_scaler�  r£   Úgrad_weights                r,   Úembedding_dense_backwardrZ  Î  s,  € ô ',×&>Ñ&>Ø¬×)NÑ)N×)VÑ)Vô'Ñ#Ð�|ð —.‘.Ð!2Ó3€KÜ% g¬u¯z©zÓ:€GÙØ×"Ñ" K >Ó2ˆÜ�‰˜wÓ'ˆÜ×'Ñ'¨°°	¸4ÈDÐ'ÓQˆØ# G™_ÐØ!Ð$6×$@Ñ$@ÀÓ$DÑDˆä˜W¨Ñ3°[×5EÑ5EÓF€DØ×"Ñ" 4¨Ó+€DØ×'Ñ'Ø	ˆ˜×*Ñ*¨7¯<©<¨>Ð:Ñ:ó€Kô ×!Ñ! +°¨y¸$È4Ð!ÓP×SÑSØóð r+   c                 ó"   — d}| D ]  }||z  }Œ	 |S rW   r*   )r8   rE   Úis      r,   r  r  í  s$   € Ø	€AØò ˆØ	ˆQ‰‰ðà€Hr+   ÚtensorsÚ
num_chunksc                 óZ  — g }| D ]£  }|j                  «       }||   |z   dz
  |z  |z  }|||   k7  r;dgdz  |j                  |z
  dz
  z  d|||   z
  gz   }t        j                  ||d«      }|d | t	        j
                  |dg«      z   }|j                  |j                  |«      «       Œ¥ |S )Nr"   r   r#   rN   )r  rp  r   Úconstant_pad_ndrd   ÚSizeÚappendr‹  )	r]  rJ   r^  Úpadded_tensorsÚtensorÚtensor_sizeÚpad_along_dimrÛ  Ú	view_sizes	            r,   Ú
_pad_chunkrh  ô  sÚ   € ð
 €NØò 6ˆØ—k‘k“mˆØ$ SÑ)¨JÑ6¸Ñ:¸zÑIÈJÑVˆØ˜K¨Ñ,Ò,à�#˜‘'˜VŸ[™[¨3Ñ.°Ñ2Ñ3ØØ ¨CÑ 0Ñ0ð7ñ ˆCô ×)Ñ)¨&°#°qÓ9ˆFØ  Ð%¬¯
©
°JÀÐ3CÓ(DÑDˆ	Ø×Ñ˜fŸk™k¨)Ó4Õ5ð6ð Ðr+   c                 óR   — | d   j                   }| D ]  }|j                   |k7  sŒ y y)Nr   FT©rp  )r]  rp  rd  s      r,   Úhave_same_ndimsrk  	  s2   € Ø�1‰:�?‰?€DØò ˆØ�;‰;˜$ÓÙðð r+   c                 ó”   — | d   j                  «       d | }| D ]-  }t        j                  |j                  «       d | |k(  d„ «       Œ/ y )Nr   c                   ó   — y)NzG_chunk_cat expects same sizes of 0,...,dim-1 dimensions for all tensorsr*   r*   r+   r,   r}   z+leading_dimension_matches.<locals>.<lambda>  r¹  r+   )r  rd   r~   )r]  rJ   Úleading_dim_sizesrd  s       r,   Úleading_dimension_matchesro    sN   € Ø ™
Ÿ™Ó)¨$¨3Ð/ÐØò 
ˆÜ�‰Ø�K‰K‹M˜$˜3ÐÐ#4Ñ4Ù]õ	
ñ
r+   c                 ó²  — t        j                  |dk\  d„ «       t        j                  t        | «      dkD  d„ «       | d   j                  }| d   j                  }| D ]r  }t        j                  |j                  «       dkD  d„ «       t        j                  |j                  |k(  d„ «       t        j                  |j                  |k(  d„ «       Œt t        | «      r(t        j                  | d   j                  «       |«      }nEt        j                  |dk\  d„ «       | D ]&  }t        j                  ||j                  k  d	„ «       Œ( t        | |«       |S )
Nr"   c                   ó   — y)Nz&_chunk_cat expects positive num_chunksr*   r*   r+   r,   r}   z._preprocess_chunk_cat_inputs.<locals>.<lambda>  r¹  r+   r   c                   ó   — y)Nz0_chunk_cat expects a non-empty input tensor listr*   r*   r+   r,   r}   z._preprocess_chunk_cat_inputs.<locals>.<lambda>!  r¹  r+   c                   ó   — y)Nz#_chunk_cat expects non-empty tensorr*   r*   r+   r,   r}   z._preprocess_chunk_cat_inputs.<locals>.<lambda>&  r¹  r+   c                   ó   — y)Nz8_chunk_cat expects all input tensors with the same dtyper*   r*   r+   r,   r}   z._preprocess_chunk_cat_inputs.<locals>.<lambda>)  r¹  r+   c                   ó   — y)Nz8_chunk_cat expects all inputs tensors on the same devicer*   r*   r+   r,   r}   z._preprocess_chunk_cat_inputs.<locals>.<lambda>-  r¹  r+   c                   ó   — y)NzK_chunk_cat expects non-negative dim when input tensors have different ndimsr*   r*   r+   r,   r}   z._preprocess_chunk_cat_inputs.<locals>.<lambda>4  r¹  r+   c                   ó   — y)Nz3_chunk_cat expects dim < ndim for all input tensorsr*   r*   r+   r,   r}   z._preprocess_chunk_cat_inputs.<locals>.<lambda>9  r¹  r+   )rd   r~   ru  râ   rƒ  rñ   rk  r@   r  rJ   rp  ro  )r]  rJ   r^  Úexpected_dtypeÚexpected_devicerd  s         r,   Ú_preprocess_chunk_cat_inputsrz    s-  € ô
 
‡L�L�˜q‘Ñ"RÔSÜ	‡L�LÜˆG‹�qÑÑTôð ˜Q‘Z×%Ñ%€NØ˜a‘j×'Ñ'€OØò 	
ˆÜ�‰�V—\‘\“^ aÑ'Ñ)VÔWÜ�‰Ø�L‰L˜NÑ*ÙNô	
ô 	�‰Ø�M‰M˜_Ñ,ÙNõ	
ð	
ô �wÔÜ×$Ñ$ W¨Q¡Z§^¡^Ó%5°sÓ;‰ä�‰Ø�1‰HÙaô	
ð ò 	ˆFÜ�L‰LØ�f—k‘kÑ!ÙMõð	ô
 ˜g sÔ+Ø€Jr+   rÁ   c                 ó¦   — t        | ||«      }t        | ||«      }|€t        j                  ||dz   «      S t        j                  ||dz   |¬«       |S )Nr"   )rÁ   )rz  rh  rd   r!  )r]  rJ   r^  rÁ   rc  s        r,   Ú
_chunk_catr|  ?  sS   € ô ' w°°ZÓ
@€CÜ ¨¨jÓ9€NØ
€{Ü�y‰y˜¨¨q©Ó1Ð1ä�	‰	�. #¨¡'¨sÕ3Øˆ
r+   Úsplit_sizesc                 ó  — t         j                  | ||¬«      }|€.|D �cg c]"  }|j                  t        j                  ¬«      ‘Œ$ c}S t        ||«      D ])  \  }}t        ||j                  «       t        ||d¬«       Œ+ y c c}w )Nr|   rJ  Tr  )	r   Úsplit_with_sizesr†  rd   rO  ré  r   r  r   )rw   r}  rJ   rÁ   ÚsplitsÚsrŸ  Úsplits           r,   Úsplit_with_sizes_copyrƒ  P  sƒ   € ô ×"Ñ" 4¨¸#Ð"Ó>€FØ
€{ØHNÖOÀ1�—‘¤e×&=Ñ&=�Õ>ÒOÐOä   fÓ-ò 	N‰MˆF�EÜ˜f e§k¡kÔ2Ü U°FÈÖMð	Nð ùò Ps   Ÿ'BÚ
split_size.c                 óD   — t         j                  j                  | ||«      S r4   )r   r‚  r   )rº   r„  rJ   s      r,   Úunsafe_splitr†  c  s   € ä�:‰:×Ñ˜U J°Ó4Ð4r+   c                 óD   — t         j                  j                  | ||«      S r4   )r   r  r{  )rº   r}  rJ   s      r,   Úunsafe_split_with_sizesrˆ  h  s   € ô × Ñ ×(Ñ(¨°¸SÓAÐAr+   c                 ó  — | j                   }||   }|dk(  r|dk(  sJ ‚| j                  «       fS ||z   dz
  |z  }ddlm}  ||«      }t	        |«      D �cg c]  }|‘Œ }}|||z  |z
  z
  |d<   t        j                  | ||«      S c c}w )Nr   r"   )Ú	guard_intrN   )r  Údetachrf  rŠ  rO   rd   r‚  )	rw   r„  rJ   r[  r|  ÚchunksrŠ  r\  r}  s	            r,   r‚  r‚  o  s¢   € à—*‘*€KØ˜3Ñ€HØ�Q‚Ø˜1Š}Ðˆ}Ø—‘“ÐÐØ˜Ñ# aÑ'¨JÑ6€Fõ @á�vÓ€FÜ',¨V£}Ö5 !’:Ð5€KÐ5Ø  J°Ñ$7¸(Ñ$BÑC€K��OÜ�;‰;�t˜[¨#Ó.Ð.ùò 6s   Á	BÚtensor_indices_or_sectionsc                 ó¸  ‡— |j                   j                  dk(  sJ ‚|j                  t        j                  k(  sJ ‚|j                  «       Št        j                  ‰dk(  xs ‰dk(  ˆfd„«       ‰dk(  r4|j                  «       }t        |t        «      sJ ‚| j                  ||«      S |D �cg c]  }|j                  «       ‘Œ }}| j                  ||«      S c c}w )NÚcpur"   r   c                  ó   •— d‰ › d�S )Nz{tensor_split expected tensor_indices_or_sections to be a zero-dimensional or one-dimensional tensor, but got a tensor with z dimsr*   )Ú	split_dims   €r,   r}   zAtensor_split_tensor_indices_or_sections_py_impl.<locals>.<lambda>Ž  s   ø€ ð <Ø<E¸;ÀeðM€ r+   )rƒ  Útyperâ   rd   r©  rJ   r~   Úitemr6   r   Útensor_split)rw   r�  rJ   Úsectionsr\  rŽ  r‘  s         @r,   Ú/tensor_split_tensor_indices_or_sections_py_implr–  �  sÕ   ø€ ð &×,Ñ,×1Ñ1°UÒ:Ð:Ð:Ø%×+Ñ+¬u¯{©{Ò:Ð:Ð:Ø*×.Ñ.Ó0€IÜ	‡L�LØ�Q‰Ò(˜) q™.ó	Môð
 �A‚~Ø-×2Ñ2Ó4ˆÜ˜(¤GÔ,Ð,Ð,Ø× Ñ  ¨3Ó/Ð/à%?Ö@ �1—6‘6•8Ð@ˆÐ@ð × Ñ  ¨#Ó.Ð.ùò As   Â,CÚmat1Úmat2c                 ó¾   — | j                  «       s&| j                  «       st        |«      }t        |«      }|t        j                  ||«      z  }|dk(  r|S ||| z  z   S ro   )r:  Ú
is_complexr~  rd   Úmm)rw   r—  r˜  r^   ri   rÁ   s         r,   Úaddmmrœ  ¤  s]   € ð ×!Ñ!Ô#¨D¯O©OÔ,=Ü�4‹yˆÜ�E“
ˆØ
”%—(‘(˜4 Ó&Ñ
&€CØˆq‚yØˆ
ð �˜‘ÑÐr+   Úuse_geluc                 ó¾   — t        | ||||«      }|r8| j                  rt        j                  |d¬«      S t        j                  |«      S t        j	                  |«      S )Nr¦   )r¤   )rœ  Úis_cudar   ÚgeluÚrelu)rw   r—  r˜  r^   ri   r�  rÁ   s          r,   Ú_addmm_activationr¢  ¸  sO   € ô ��d˜D $¨Ó
.€CÙØ�<Š<Ü—9‘9˜S¨f�9Ó5Ð5ä—9‘9˜S“>Ð!Ü�9‰9�S‹>Ðr+   Úvecc                 óî   — | j                  «       s&| j                  «       st        |«      }t        |«      }|t        j                  ||«      z  }|dk(  r|S |j                  «       dk(  r|| z  S ||| z  z   S ro   )r:  rš  r~  rd   Úmvrñ   )rw   r—  r£  r^   ri   rÁ   s         r,   Úaddmvr¦  Ì  ss   € ð ×!Ñ!Ô#¨D¯O©OÔ,=Ü�4‹yˆÜ�E“
ˆØ
”%—(‘(˜4 Ó%Ñ
%€CØˆq‚yØˆ
Ø
‡y�yƒ{�aÒØ�d‰{ÐØ�˜‘ÑÐr+   rß   ÚrstdÚgammaÚNÚCÚHxWÚgroupÚoutput_maskc
           	      óR  ‡‡‡‡‡‡— t        j                  | |‰|d¬«       t        j                  || d¬«       t        j                  ‰|d¬«       t        j                  |j                  «       ‰‰z  ‰z  k(  ˆˆˆfd„«       t        j                  ‰j                  ‰‰fk(  ˆˆˆfd„«       t        j                  ‰d u xs ‰j                  «       ‰k(  ˆˆfd„«       t        ‰‰«      \  }
}t        j                  |dk(  ˆˆfd„«       t        j                  | |«      j                  ‰‰‰«      j                  dg¬	«      }| j                  ‰‰‰«      j                  dg¬	«      }d }d }d }|	d   �r*d
‰|
z  z  }‰�Át        j                  |‰j                  d«      «      j                  ‰‰|
«      j                  d«      }t        j                  |‰j                  d«      «      j                  ‰‰|
«      j                  d«      }t        j                  |j                  d«      ‰j                  d‰|
«      «      }n‹|j                  ‰‰|
«      j                  d«      }|j                  ‰‰|
«      j                  d«      }t        j                  |j                  d«      t        j                  d‰|
f|j                  ¬«      «      }|‰z  |z
  |z  |z  |z  |z  }| ‰z  ||z  |z  z
  }|j                  d«      }t        |d«      }t        |d«      }t        j                  | j                  ‰‰|
‰«      |«      t        j                  |j                  ‰‰|
‰«      |«      z   |z   }|j                  |j                  «      j!                  |j"                  «      }|	d   rk|j                  ‰‰|
«      |j                  ‰‰|
«      ‰j                  d«      z  z
  |j                  d«      z  j                  dg¬	«      j                  ‰«      }|	d   r|j                  dg¬	«      }|||fS )NF)Úallow_cpu_scalar_tensorsc                  ó   •— d‰‰ z  ‰z  › d�S )NzExpect input to have z	 elementsr*   )rª  r«  r©  s   €€€r,   r}   z,native_group_norm_backward.<locals>.<lambda>ð  s   ø€ Ð'¨¨A©°© }°IÐ>€ r+   c                  ó.   •— d‰ › d‰› d‰j                   › �S )NzExpect mean to have shape (ú, z
, but got rØ  )r©  r¬  rß   s   €€€r,   r}   z,native_group_norm_backward.<locals>.<lambda>ô  s   ø€ Ð-¨a¨S°°5°'¸ÀDÇJÁJÀ<ÐP€ r+   c                  ó<   •— d‰ › d‰�‰j                  «       › �S d› �S )NzExpect gamma to have z elements but got rN   )rñ   )rª  r¨  s   €€r,   r}   z,native_group_norm_backward.<locals>.<lambda>ø  s-   ø€ Ð'¨ sÐ*<ÈeÐN_¸U¿[¹[»]Ð<hÐi€ ÐegÐ<hÐi€ r+   r   c                  ó   •— d‰ › d‰› �S )NzExpect number of channels z, to be evenly-divisible by number of groups r*   )rª  r¬  s   €€r,   r}   z,native_group_norm_backward.<locals>.<lambda>þ  s   ø€ Ð,¨Q¨CÐ/[Ð\aÐ[bÐc€ r+   r#   r|   rb   rN   r"   r‚  r4  )r@   Úcheck_same_deviceÚcheck_same_shaperd   r~   rñ   r  ÚdivmodrÓ   r‹  rà   rP   r  rˆ  rƒ  rR   r7   râ   )rh   rº   rß   r§  r¨  r©  rª  r«  r¬  r­  ÚcpgÚ_remÚdsÚdbÚd_inputÚd_gammaÚd_biasr�  Úds_valÚdb_valÚc1Úc2Úc3s     ` `````              r,   Únative_group_norm_backwardrÄ  Û  s¼  ý€ ô 
×ÑØ�U˜D $Àõô 
×Ñ˜5 +ÈÕNÜ	×Ñ˜4 ÀÕFÜ	‡L�LØ�‰‹˜˜Q™ ™Ñ$Ý>ôô 
‡L�LØ�
‰
�q˜%�jÑ ÝPôô 
‡L�LØ�ˆÒ+˜Ÿ™›¨!Ñ+Üiôô
 �q˜%Ó �I€CˆÜ	‡L�LØ�‰	Ücôô 
�‰�; Ó	&×	+Ñ	+¨A¨q°#Ó	6×	:Ñ	:À¸sÐ	:Ó	C€BØ	×	Ñ	˜!˜Q Ó	$×	(Ñ	(¨a¨SÐ	(Ó	1€Bà $€GØ $€GØ#€FØ�1ƒ~Ø�3˜‘9ÑˆØÐÜ—Y‘Y˜r 5§?¡?°1Ó#5Ó6×>Ñ>¸qÀ%ÈÓM×QÑQÐRSÓTˆFÜ—Y‘Y˜r 5§?¡?°1Ó#5Ó6×>Ñ>¸qÀ%ÈÓM×QÑQÐRSÓTˆFÜ—‘Ø—‘˜rÓ"Ø—‘˜a ¨Ó,ó‰Bð
 —Z‘Z  5¨#Ó.×2Ñ2°1Ó5ˆFØ—Z‘Z  5¨#Ó.×2Ñ2°1Ó5ˆFÜ—‘Ø—‘˜rÓ"Ü—
‘
˜A˜u c˜?°4·;±;Ô?óˆBð �t‰m˜fÑ$¨Ñ,¨tÑ3°dÑ:¸QÑ>ˆØˆS�4‰Z˜& 4™-¨!Ñ+Ñ+ˆà�\‰\˜"ÓˆÜ˜r 1Ó%ˆÜ˜r 1Ó%ˆä�I‰I�k×)Ñ)¨!¨U°C¸Ó=¸rÓBÜ�i‰i˜Ÿ™ a¨°°SÓ9¸2Ó>ñ?àñð 	ð
 —/‘/ %§+¡+Ó.×1Ñ1°%·+±+Ó>ˆØ�1‚~ð —‘˜˜E 3Ó'¨"¯'©'°!°U¸CÓ*@À4Ç>Á>ÐRTÓCUÑ*UÑUØ—.‘. Ó$ñ%÷ ‰S�a�SˆS‹\ß‰W�Q‹Zð 	ð �1‚~Ø—‘˜Q˜C�“ˆà�W˜fÐ%Ð%r+   Úout2c
                ó¸   — t        | |||||||||	«
      }|
||f}t        |«      D ]2  \  }}|€Œ	t        ||   |j                  «       t	        |||   d¬«       Œ4 |S r  )rÄ  Ú	enumerater   r  r   )rh   rº   rß   r§  r¨  r©  rª  r«  r¬  r­  r7  r8  rÅ  r  rS   r\  rE   s                    r,   Únative_group_norm_backward_outrÈ  4  sz   € ô" (Ø�U˜D $¨¨q°!°S¸%Àó€Fð ˜˜dÐ#€JÜ˜&Ó!ò Q‰ˆˆ1Ø‰=Ü˜j¨™m¨Q¯W©WÔ5Ü Q°
¸1±È4ÖPðQð
 Ðr+   c                 ó,   — | �| j                  |«      S | S r4   ©r7   )r8   râ   s     r,   Ú_maybe_castrË  Q  s   € Ø€}Ø�t‰t�E‹{ÐØ€Hr+   Úgrad_outÚnormalized_shapeÚbiasc                 ó8  ‡"— |j                   }|j                  «       }	t        j                  |j                  «      Š"ˆ"fd„| |||fD «       \  }
}}}|
€J ‚|	t        |«      z
  }||d  }|d | }g }g }t        |	«      D ]*  }||k\  r|j                  |«       Œ|j                  |«       Œ, t        |«      }t        |«      }ddl	m
}  ||dk  «      s ||dk  «      rN|d   r|j                  |«      nd |d   r|j                  ||d  «      nd |d   r|j                  ||d  «      fS d fS t        ||j                  «       «      }t        ||j                  «       «      }||z
  |z  }|�|
|z  }n|
}||z  }t        j                  ||d«      }t        j                  ||«      }t        j                  ||d«      }t        j                  ||«      }||z
  |z
  }d }d } d }!|d   r||z  |z  }|d   r0|�.t        |«      dkD  rt        j                  |
|z  |d«      } n|
|z  } |d   r8|�6t        |«      dkD  rt        j                  |
|d«      }!n|
j!                  «       }!t#        ||j                  «      t#        | |j                  «      t#        |!|j                  «      fS )Nc              3   óh   •K  — | ])  }|�!|j                  ‰t        j                  ¬«      n|–— Œ+ y ­wr!  )r7   rd   rO  ©rÁ  r8   r9   s     €r,   rÂ  z-native_layer_norm_backward.<locals>.<genexpr>f  s>   øè ø€ ò 9ð ð ˆ=ð 	
�‰Ð¬e×.EÑ.EˆÔFàó	ñ9ùs   ƒ/2r   ©rd  r"   r#   TF)r  rJ   r@   Úget_computation_dtyperâ   ru  rO   rb  r  rf  rd  r`  rR   rd   rà   rÓ   r†  rË  )#rÌ  rº   rÍ  rß   r§  rÇ   rÎ  r­  Úinput_shapeÚ
input_ndimÚgrad_out_castÚ
input_castÚweight_castÚ	bias_castÚaxisÚ
inner_dimsÚ
outer_dimsÚinner_dim_indicesÚouter_dim_indicesr\  r©  ÚMrd  Úx_hatÚ
grad_x_hatÚaÚbrÁ  rÂ  rÃ  rF   r¼  Úd_weightr¾  r9   s#                                     @r,   Únative_layer_norm_backwardrå  X  s×  ø€ ð —+‘+€KØ—‘“€JÜ×3Ñ3°E·K±KÓ@Ðó9ð ˜E 6¨4Ð0ô	9Ñ5€M�:˜{¨Ið Ð$Ð$Ð$àœÐ,Ó-Ñ-€DØ˜T˜UÐ#€JØ˜U˜dÐ#€JØ#%ÐØ#%ÐÜ�:Óò (ˆØ�Š9Ø×$Ñ$ QÕ'à×$Ñ$ QÕ'ð	(ô 	ˆZÓ€AÜˆZÓ€AÝJá˜A ™FÔ#Ñ';¸AÀ¹FÔ'Cà,7¸ªNˆE�O‰O˜KÔ(ÀØ3>¸q²>ˆE�O‰O˜K¨¨Ð.Ô/ÀtØ3>¸q²>ˆE�O‰O˜K¨¨Ð.Ó/ð
ð 	
ð HLð
ð 	
ô
 ˜T :§>¡>Ó#3Ó4€DÜ˜T :§>¡>Ó#3Ó4€DØ˜$Ñ $Ñ&€EØÐØ" [Ñ0‰
à"ˆ
Ø�Q‰€AÜ�	‰	�*Ð/°Ó6€AÜ	�‰�:˜uÓ	%€BÜ	�‰�2Ð(¨$Ó	/€BÜ	�‰�5˜"Ó	€Bà�‰E�B‰J€EØ $€GØ!%€HØ#€FØ�1‚~Ø˜!‘8˜uÑ$ˆà�1‚~˜+Ð1ÜÐ Ó! AÒ%Ü—y‘y °Ñ!6Ð8IÈ5ÓQ‰Hà$ uÑ,ˆHà�1‚~˜)Ð/ÜÐ Ó! AÒ%Ü—Y‘Y˜}Ð.?ÀÓG‰Fà"×(Ñ(Ó*ˆFô 	�G˜UŸ[™[Ó)Ü�H˜eŸk™kÓ*Ü�F˜EŸK™KÓ(ðð r+   c          
      ó´   — t        | |||||||«      }||	|
f}t        |«      D ]2  \  }}|€Œ	t        ||   |j                  «       t	        |||   d¬«       Œ4 |S r  )rå  rÇ  r   r  r   )rÌ  rº   rÍ  rß   r§  rÇ   rÎ  r­  r7  r8  rÅ  r  rS   r\  rE   s                  r,   Únative_layer_norm_backward_outrç  «  sw   € ô (Ø�%Ð)¨4°°v¸tÀ[ó€Fð ˜˜dÐ#€JÜ˜&Ó!ò Q‰ˆˆ1Ø‰=Ü˜j¨™m¨Q¯W©WÔ5Ü Q°
¸1±È4ÖPðQð
 Ðr+   Úrunning_meanÚrunning_varÚmomentumÚ
functionalc	                 ó2  — dgt        t        d| j                  «       «      «      z   }	t        j                  | j
                  «      }
|}|}|�r"t        j                  | j
                  «      }
| j                  |
¬«      }t        j                  ||	dd¬«      \  }}t        j                  ||z   «      }| |z
  |z  }t        j                  ||	«      }t        j                  ||	«      }|�!||z  d|z
  |z  z   }|s|j                  |«       |��2| j                  «       | j                  d   z  }t        j                  ||	«      }|||dz
  z  z  }||z  d|z
  |z  z   }|sá|j                  |«       nÏ|�|€J ‚|j                  |
d¬«      }|}|j                  |
d¬«      }|}|}dt        j                  ||z   «      z  }| j                  j                   dk7  r|}|}n"| j#                  d	«      }| j#                  d	«      }t%        || j                  «       dz
  «      }t%        || j                  «       dz
  «      }| |z
  |z  }|�2|j'                  «       }t%        || j                  «       dz
  «      }||z  }|�2|j'                  «       }t%        || j                  «       dz
  «      }||z   }| j                  j                   dk(  r8|j                  | j
                  ¬«      }|j                  | j
                  ¬«      }|j                  | j
                  ¬«      ||||fS )
Nr   r#   rê   T)rJ   Ú
correctionrö   r"   )râ   r€   r�  ©r   )rh  rO   rJ   r@   rÓ  râ   r7   rd   Úvar_meanÚrsqrtrë  Úcopy_rñ   r  rS  rƒ  r’  r`  rR   r*  )rº   rÇ   rÎ  rè  ré  rÑ   rê  r-  rë  Úreduction_dimsr9   Únew_running_meanÚnew_running_varÚ	input_accÚ
biased_varrß   r§  rŸ  Ú	save_meanÚ	save_rstdÚnÚsqueezed_varÚunbiased_varÚinvstds                           r,   Únative_batch_norm_helperrý  Æ  sú  € ð �Sœ4¤ a¨¯©«Ó 5Ó6Ñ6€NÜ×3Ñ3°E·K±KÓ@ÐØ#ÐØ!€OÚÜ!×7Ñ7¸¿¹ÓDÐØ—H‘HÐ#4�HÓ5ˆ	Ü Ÿ>™>Ø˜>°aÀô
Ñˆ
�Dô �{‰{˜:¨Ñ+Ó,ˆà˜$‘, $Ñ&ˆä—M‘M $¨Ó7ˆ	Ü—M‘M $¨Ó7ˆ	ØÐ#Ø'¨)Ñ3°q¸8±|À|Ñ6SÑSÐÙØ×"Ñ"Ð#3Ô4ØÑ"Ø—‘“ §¡¨A¡Ñ.ˆAô !Ÿ=™=¨°^ÓDˆLØ'¨1°°A±©;Ñ7ˆLØ&¨Ñ5¸¸X¹ÈÑ8TÑTˆOÙØ×!Ñ! /Õ2àÐ'¨KÐ,CÐCÐCØ#—‘Ð->ÀT�ÓJˆØ'ÐØ!—n‘nÐ+<À4�nÓHˆØ%ˆØˆØ”e—j‘j ¨sÑ!2Ó3Ñ4ˆà�<‰<×Ñ Ò%Ø$ˆIØ‰IàŸ™¨Ó-ˆIØŸ™¨Ó-ˆIÜ   u§y¡y£{°Q¡Ó7ˆÜ" 6¨5¯9©9«;¸©?Ó;ˆØ˜$‘, &Ñ(ˆàÐØ—‘Ó!ˆÜ" 6¨5¯9©9«;¸©?Ó;ˆØ˜&‘ˆàÐØ�|‰|‹~ˆÜ   u§y¡y£{°Q¡Ó7ˆØ˜$‘ˆà‡|�|×Ñ˜EÒ!Ø—L‘L u§{¡{�LÓ3ˆ	Ø—L‘L u§{¡{�LÓ3ˆ	à�	‰	˜Ÿ™ˆ	Ó$ØØØØðð r+   r÷  Úsave_invstdc                 ó>   — t        | |||||||d«	      \  }}	}
}}||	|
fS ©NF©rý  ©rº   rÇ   rÎ  rè  ré  rÑ   rê  r-  rŸ  r÷  rø  rQ   s               r,   Únative_batch_normr    s=   € ô *BØˆv�t˜\¨;¸À(ÈCÐQVó*Ñ&€FˆI�y ! Qð �9˜iÐ'Ð'r+   c           
      óä   — |€|€t         j                  | |||||«      S |€t        d«      ‚|€t        d«      ‚|rt         j                  | |||||||«      S t         j                  | ||||||«      S )Nz`running_mean is None, but running_var is provided. They should both be None or both be provided.z`running_var is None, but running_mean is provided. They should both be None or both be provided.)r   Ú_native_batch_norm_legitrg  Ú$_native_batch_norm_legit_no_training)rº   rÇ   rÎ  rè  ré  rÑ   rê  r-  s           r,   Únative_batch_norm_decompositionr  4  s±   € ð Ð Ð 3Ü×,Ñ,Ø�6˜4 ¨8°Só
ð 	
ð ÐÜð<ó
ð 	
ð ÐÜð<ó
ð 	
ñ ä×,Ñ,Ø�6˜4 ¨{¸HÀhÐPSó
ð 	
ô ×8Ñ8Ø�6˜4 ¨{¸HÀcó
ð 	
r+   c                 ól  — | j                  |«      }||z   dz
  |z  }|dk(  rZ|dk(  rU|D �cg c]  }|‘Œ }}|||z  |z
  z
  ||dz
  <   t        j                  j                  j                  j                  | ||«      S t        j                  j                  j                  j                  | ||«      S c c}w ©Nr"   r   )r  rd   Úopsr   rˆ  r{  r†  r   )rd  rŒ  rJ   r|  r„  rQ   r}  s          r,   Úunsafe_chunk_py_implr  Y  s­   € à�{‰{˜3Ó€HØ˜VÑ# aÑ'¨FÑ2€Jà�Q‚˜8 qš=Ø+1Ö2 a’zÐ2ˆÐ2Ø",°
¸VÑ0CÀhÑ0NÑ"Oˆ�F˜Q‘JÑÜ�y‰y�~‰~×5Ñ5×=Ñ=¸fÀkÐSVÓWÐWÜ�9‰9�>‰>×&Ñ&×-Ñ-¨f°jÀ#ÓFÐFùò 3s   «	B1c           
      óN   — t         j                  j                  | ||||d||«      S r   )r   r  r{  )rº   rÇ   rÎ  rè  ré  rê  r-  s          r,   r  r  e  s5   € ô ×(Ñ(×0Ñ0ØØØØØØØØó	ð 	r+   c                 ó>   — t        | |||||||d«	      \  }}	}
}}||	|
fS r   r  r  s               r,   r  r  {  s=   € ô *BØˆv�t˜\¨;¸À(ÈCÐQVó*Ñ&€FˆI�y ! Qð �9˜iÐ'Ð'r+   c                 ó>   — t        | ||d d |||d«	      \  }}}}	}	|||fS r   r  )
rº   rÇ   rÎ  rÑ   rê  r-  rŸ  r÷  rø  rQ   s
             r,   Ú!_native_batch_norm_legit_no_statsr  Œ  s<   € ô *BØˆv�t˜T 4¨°8¸SÀ%ó*Ñ&€FˆI�y ! Qð �9˜iÐ'Ð'r+   c                 óf   — t        | |||||||d«	      \  }}	}
}}|€J d«       ‚|€J d«       ‚||	|
||fS )NTú#new_running_mean should not be Noneú"new_running_var should not be Noner  )rº   rÇ   rÎ  rè  ré  rÑ   rê  r-  rŸ  r÷  rø  ró  rô  s                r,   Ú#_native_batch_norm_legit_functionalr  ›  sl   € ô" 	!Øˆv�t˜\¨;¸À(ÈCÐQUó	ñØØØØØð Ð'ÐNÐ)NÓNÐ'ØÐ&ÐLÐ(LÓLÐ&Ø�9˜iÐ)9¸?ÐJÐJr+   c           	      óT  — t         j                  j                  | ||||d|«      }d}|t         j                  j                  j                  k(  r t         j                  j                  | |«      }t        j                  |t         j                  | j                  | j                  ¬«      S )a©  
    Return a reserve tensor for batch norm, used only by cudnn to pass forward state to the
    backward pass. This is needed for `_batch_norm_with_update` and `_batch_norm_no_update`,
    which support a variety of backends including cudnn. We create this tensor here to get
    the correct shape in the traced graph if we detect that will call the cudnn kernel,
    and rely on DCE to avoid materializing this tensor.
    Tr   )râ   Úlayoutrƒ  )
rd   Ú_CÚ_select_batch_norm_backendÚ_BatchNormBackendÚCudnnÚ(_get_cudnn_batch_norm_reserve_space_sizeÚemptyÚuint8r  rƒ  )	rº   rÇ   rÎ  rè  ré  r-  rÑ   ÚbackendÚreserve_sizes	            r,   Ú_get_batch_norm_reserve_tensorr  ´  s‡   € ô  �h‰h×1Ñ1Øˆv�t˜\¨;¸¸có€Gð €LØ”%—(‘(×,Ñ,×2Ñ2Ò2Ü—x‘x×HÑHØ�8ó
ˆô �;‰;ØœEŸK™K°·±ÀUÇ\Á\ôð r+   c                 ód   — t        | ||||d||d«	      \  }}}	}
}
t        | |||||d¬«      }|||	|fS )NTF©rÑ   ©rý  r  ©rº   rÇ   rÎ  rè  ré  rê  r-  rŸ  r÷  rø  rQ   Úreserves               r,   Ú_batch_norm_with_updater%  Ñ  sa   € ô *BØØØØØØØØØó
*Ñ&€FˆI�y ! Qô -Øˆv�t˜\¨;¸Àdô€Gð �9˜i¨Ð0Ð0r+   c                 óŒ   — t        | ||||d||d«	      \  }}}	}
}t        | |||||d¬«      }|
€J d«       ‚|€J d«       ‚|||	||
|fS )NTr!  r  r  r"  )rº   rÇ   rÎ  rè  ré  rê  r-  rŸ  r÷  rø  Únew_rmÚnew_rvr$  s                r,   Ú"_batch_norm_with_update_functionalr)  ì  s‡   € ô  	!Øˆv�t˜\¨;¸¸hÈÈTó	ñØØØØØô -Øˆv�t˜\¨;¸Àdô€Gð ÐÐDÐDÓDÐØÐÐCÐCÓCÐØ�I˜y¨'°6¸6ÐBÐBr+   c                 ód   — t        | ||||d||d«	      \  }}}	}
}
t        | |||||d¬«      }|||	|fS )NFr!  r"  r#  s               r,   Ú_batch_norm_no_updater+    sa   € ô *BØØØØØØØØØó
*Ñ&€FˆI�y ! Qô -Øˆv�t˜\¨;¸Àeô€Gð �9˜i¨Ð0Ð0r+   c                 ó²   — |�J ‚t        j                  | «      |k  j                  t         j                  ¬«      }|j	                  | «      | z  d|z  z  }||fS )Nrê   rb   )rd   r;  r7   r  r"  )rº   rD  Ú	generatorr�  r=  s        r,   Ú_fused_dropout_decompositionr.  "  s[   € ð ÐÐÐÜ�O‰O˜EÓ" QÑ&×*Ñ*´·±Ð*Ó=€DØ
�,‰,�uÓ
 Ñ
%¨¨q©Ñ
1€CØ�ˆ;Ðr+   )râ   r  rƒ  Ú
pin_memoryÚnon_blockingrK  rƒ  r/  r0  rK  c                óÆ  — |r|t         j                  k(  sJ d«       ‚|rJ d«       ‚t        | t         j                  t        t
        t        t        f«      sJ ‚|€0|€.|€,t        | t         j                  «      r| j                  «       S | S d}t        | t         j                  «      r| }nt        j                  | «      }|�c||j                  k7  rT|�1|j                  dk(  r"t         j                  j                  ||«      }d}t         j                  j                  |||«      }|�$|s"t         j                  j                  ||«      }d}|�t        j                  ||¬«      S |S )NÚTODOFr�  TrJ  )rd   Ústridedr6   r   r~  rù   r‰  Úcomplexr†  Úscalar_tensorrƒ  r’  Ú_primsÚconvert_element_typeÚ
device_put)	r8   râ   r  rƒ  r/  r0  rK  Údtype_convertedÚx_tensors	            r,   Ú_to_copyr;  ,  s2  € ñ ˜¤5§=¡=Ò0Ð8°&Ó8Ð0ÙÐ!˜6Ó!ˆ>Ü�aœ%Ÿ,™,¬¬U´D¼'ÐBÔCÐCÐCØ€~˜%˜-¨MÐ,AÜ�aœŸ™Ô&Ø—7‘7“9ÐàˆHØ€Oä�!”U—\‘\Ô"Ø‰ä×&Ñ& qÓ)ˆàÐ˜f¨¯©Ò7àÐ §¡°Ò!5Ü—|‘|×8Ñ8¸À5ÓIˆHØ"ˆOÜ—<‘<×*Ñ*¨8°V¸\ÓJˆàÐ¡Ü—<‘<×4Ñ4°X¸uÓEˆØˆàÐ Ü�{‰{˜8°=ÔAÐAØ€Or+   c                 ó,   — t         j                  | «      S r4   )r   Úalias)r8   s    r,   Únop_decompositionr>  Z  s   € ô �:‰:�a‹=Ðr+   Úout3Úexponential_average_factorÚepsilonc           
      ó  — t         j                  | |||||||«      \  }}	}
|r%||	|
| j                  dt        j                  ¬«      fS ||j                  d«      |j                  d«      | j                  dt        j                  ¬«      fS )Nrî  rê   )r   r  r`  rd   r  )rº   rÇ   rÎ  rè  ré  rÑ   r@  rA  râ  rã  rà  s              r,   Úcudnn_batch_normrC  b  s”   € ô ×$Ñ$ØØØØØØØ"Øó	�G€A€qˆ!ñ Ø�1�a˜Ÿ™¨´U·[±[˜ÓAÐBÐBà	Ø×Ñ˜ÓØ×Ñ˜ÓØ�‰˜¤E§K¡KˆÓ0ð	ð r+   c                 óž   — t        |«      D ]>  \  }}|dk(  sŒ|| j                  k  r| j                  |   |k(  rŒ.| j                  |«      } Œ@ | S rW   )rÇ  rp  r  rP   )r8   Úbroadcast_maskrÚ  r�  s       r,   Ú_broadcast_batch_norm_backwardrF  „  sO   € Ü Ó/ò "‰
ˆˆdØ�1‹9˜d Q§V¡Všm°·±¸±ÀÓ0EØ—‘˜DÓ!‰Að"ð €Hr+   r$  c                 ó*   — t        | |||||||||	«
      S r4   )Únative_batch_norm_backward)rÌ  rº   rÇ   rè  ré  r÷  rþ  r3  r-  r­  r$  s              r,   Úbatch_norm_backwardrI  ‹  s/   € ô &ØØØØØØØØØØóð r+   c
                 óä  ‡&— |j                   }
|�|j                   }n|
}t        j                  |j                   «      Š&ˆ&fd„| ||||||fD «       \  }}}}}}}|j                  }|j	                  «       }|dk\  sJ d«       ‚d}t        t        |«      «      ||   z  }|}|}|r|�|€"J ‚|�|€J ‚|}t        j                  ||z   «      }dg|z  }||   ||<   g }t        |«      D ]  }||k7  sŒ	|j                  |«       Œ t        ||«      }d|z  }t        j                  ||«      }t        j                  |||z
  z  |«      }t        ||z  |«      }t        t        j                  ||z  ||z  «      |«      } |€t        ||«      dz  }!nt        ||z  |«      }!|r||z
  | z  }"||"z
  |z
  |!z  }#n||!z  }#|	d   r||z  }$nd }$|	d   r|}%nd }%|#j                  |
«      t        |$|«      t        |%|«      fS )Nc              3   óH   •K  — | ]  }|�|j                  ‰«      n|–— Œ y ­wr4   rÊ  rÑ  s     €r,   rÂ  z-native_batch_norm_backward.<locals>.<genexpr>Â  s,   øè ø€ ò 	àð $% =ˆ�‰ÐÔ°aÓ7ñ	ùs   ƒ"r#   z$rank of the input must be at least 2r"   rb   )râ   r@   rÓ  r  rJ   r  rh  rd   rð  rO   rb  rF  rà   rÓ   r7   rË  )'rÌ  rº   rÇ   rè  ré  r÷  rþ  r3  r-  r­  rœ  Úweight_dtyperÖ  r×  rØ  Úrunning_mean_castÚrunning_var_castÚsave_mean_castÚsave_invstd_castrÔ  Ú
input_rankrÚ  Únum_featuresrß   rü  rE  Úreduction_axesr\  rò   Úgrad_output_sumÚdot_pÚ	grad_meanÚ
proj_scaleÚ
grad_scaleÚprojrS   rY  Ú	grad_biasr9   s'                                         @r,   rH  rH  §  sx  ø€ ð —+‘+€KØÐØ—|‘|‰à"ˆÜ×3Ñ3°E·K±KÓ@Ðó	ð ØØØØØØð
ô	ñØØØØØØØð —+‘+€KØ—‘“€JØ˜Š?ÐBÐBÓBˆ?à€DÜœ˜[Ó)Ó*¨[¸Ñ->Ñ>€LØ€DØ€FÙØÐ FÐ$6Ð6Ð6ð !Ð,Ð1AÐ1MÐMÐMØ ˆÜ—‘Ð-°Ñ3Ó4ˆà!"  jÑ 0€NØ& tÑ,€N�4Ñà "€NÜ�:Óò %ˆØ�‹9Ø×!Ñ! !Õ$ð%ô *¨$°Ó?€DØ�Ñ€DÜ—i‘i ¨~Ó>€OÜ�I‰I�m z°DÑ'8Ñ9¸>ÓJ€Eä.¨ÀÑ/EÀ~ÓV€IÜ/Ü�	‰	�%˜$‘, ¨¡Ó0Øó€Jð
 ÐÜ3°F¸NÓKÈcÑQ‰
ä3Ø�[Ñ  .ó
ˆ
ñ Ø˜TÑ! ZÑ/ˆØ$ tÑ+¨yÑ8¸JÑF‰
à" ZÑ/ˆ
à�1‚~Ø˜f‘n‰àˆà�1‚~Ø#‰	àˆ	ð 	�‰�kÓ"Ü�K Ó.Ü�I˜|Ó,ðð r+   c
                ó¸   — t        | |||||||||	«
      }|
||f}t        |«      D ]2  \  }}|€Œ	t        ||   |j                  «       t	        |||   d¬«       Œ4 |S r  )rH  rÇ  r   r  r   )rÌ  rº   rÇ   rè  ré  r÷  rþ  r3  r-  r­  r7  r8  rÅ  r  rS   r\  rE   s                    r,   Únative_batch_norm_backward_outr\  	  sƒ   € ô" (ØØØØØØØØØØó€Fð ˜˜dÐ#€JÜ˜&Ó!ò Q‰ˆˆ1Ø‰=Ü˜j¨™m¨Q¯W©WÔ5Ü Q°
¸1±È4ÖPðQð
 Ðr+   Úsave_varc                 óB   — t         j                  || |||||d|g d¢«
      S ©NT)TTT©r   rH  )rº   rh   rÇ   rè  ré  r÷  r]  rA  s           r,   Úmiopen_batch_norm_backwardra  6	  s5   € ô ×*Ñ*ØØØØØØØØØÚóð r+   ÚreserveSpacec	                 óB   — t         j                  || |||||d|g d¢«
      S r_  r`  )	rº   rh   rÇ   rè  ré  r÷  r]  rA  rb  s	            r,   Úcudnn_batch_norm_backwardrd  P	  s5   € ô ×*Ñ*ØØØØØØØØØÚóð r+   c                 óÊ  ‡‡‡‡‡— | j                   Š| j                  Št        ‰«      Št        j                  ‰dv ˆfd„«       | j                  dd  D ]  }t        j                  |dk7  ˆfd„«       Œ  ‰d   |d   z  dk(  rx‰d   |d   z  dk(  rjt        d„ t        ‰dd  |«      D «       «      }t        d„ t        ‰dd  ||«      D «       «      }t        j                  j                  j                  | ||«      S d	„ Šd
„ Šˆˆˆfd„} |‰d   |d   «      \  }}}}	 |‰d   |d   «      \  }
}}}| dt        |d«      |
f   }|	s|st        j                  |d¬«      S d„ } |||||	d¬«      \  }} |||||d¬«      \  }}d }t        t        |j                  d   «      t        |j                  d   «      «      D ]!  \  }}|€|d|d d …|f   }Œ||d|d d …|f   z   }Œ# |||z  z  S )NrÐ  c                  ó   •— d‰ › �S )Nz9adaptive_avg_pool2d(): Expected 3D or 4D tensor, but got r*   rj  s   €r,   r}   z%adaptive_avg_pool2d.<locals>.<lambda>u	  s   ø€ ÐKÈDÈ6ÐR€ r+   rL  r   c                  ó"   •— dt        ‰ «      › d�S )Nzjadaptive_avg_pool2d(): Expected input to have non-zero size for non-batch dimensions, but input has shape r  rÖ  rØ  s   €r,   r}   z%adaptive_avg_pool2d.<locals>.<lambda>z	  s   ø€ ð 9Ü9>¸u»¸ÀaðI€ r+   rN   c              3   ó,   K  — | ]  \  }}||z  –— Œ y ­wr4   r*   )rÁ  r\  r  s      r,   rÂ  z&adaptive_avg_pool2d.<locals>.<genexpr>€	  s   è ø€ ÒG¡$ ! Q�q˜A•vÑGùó   ‚c              3   ó:   K  — | ]  \  }}}||d z
  |z  z
  –— Œ y­w©r"   Nr*   )rÁ  r\  r  r�  s       r,   rÂ  z&adaptive_avg_pool2d.<locals>.<genexpr>�	  s'   è ø€ ò 
Ù '  1 aˆA��Q‘˜!‘�Oñ
ùs   ‚c                 ó8   — t        j                  | |z  |d¬«      S )NÚtrunc©Úrounding_mode©rd   Údiv©râ  rã  rà  s      r,   Ústart_indexz(adaptive_avg_pool2d.<locals>.start_index†	  s   € Ü�y‰y˜˜Q™ °Ô9Ð9r+   c                 óJ   — t        j                  | dz   |z  |z   dz
  |d¬«      S )Nr"   rm  rn  rp  rr  s      r,   Ú	end_indexz&adaptive_avg_pool2d.<locals>.end_index‰	  s&   € Ü�y‰y˜!˜a™% 1™ q™¨1Ñ,¨a¸wÔGÐGr+   c                 óô  •— t        j                  |‰t         j                  ¬«      } ‰||| «      }| |z  dz   }| |z  }|dk(  xs ||z  dk(   }|r|dz  }n
|dk(  r|dz  }t        j                  |‰t         j                  ¬«      }|j                  d«      |z   }|rUt        j                  | dz
  |j
                  |j                  ¬«      }	t        j                  ||	«      } ‰||| «      }
|
|z
  }n|}||||fS )Nr„  r"   r   rN   r¨  )rd   r‡  r©  rP   r5  râ   rƒ  Úminimum)Úin_sizeÚout_sizeÚorangeÚi0Ú	maxlengthÚin_size_modÚadaptiveÚ	range_maxr�  ÚmaxvalÚi1Úlengthrƒ  ru  rs  s               €€€r,   Úcompute_idxz(adaptive_avg_pool2d.<locals>.compute_idxŒ	  s  ø€ Ü—‘˜h¨v¼U¿[¹[ÔIˆÙ˜ ¨7Ó3ˆð ˜xÑ'¨!Ñ+ˆ	Ø Ñ(ˆà# qÑ(ÒG¨H°{Ñ,BÀaÑ,GÐHˆÙØ˜‰N‰IØ˜AÒØ˜‰NˆIä—L‘L °6ÄÇÁÔMˆ	Ø�l‰l˜2Ó Ñ*ˆÙô ×(Ñ(Ø˜!‘ 3§9¡9°S·Z±ZôˆFô —-‘-  VÓ,ˆCñ ˜6 8¨WÓ5ˆBØ˜"‘W‰FàˆFØ�F˜I xÐ/Ð/r+   .r4  )rš   rN   r|   c                 óÒ   — t        |t        «      r| |fS |dk  sJ ‚||j                  d«      k\  }|dk(  rt        |d«      }t	        j
                  | |d«      } t        || «      }| |fS )Nr   rN   rL  r4  r�   )r6   r   rP   rR   rd   rV  )Úvalsr‚  r  r~  rJ   r�  s         r,   Ú
maybe_maskz'adaptive_avg_pool2d.<locals>.maybe_mask´	  sw   € Ü�fœgÔ&Ø˜�<Ðð ˜’7ˆN�7à × 0Ñ 0°Ó 4Ñ4ˆDØ�bŠyÜ(¨¨qÓ1�Ü×$Ñ$ T¨4°Ó5ˆDä& v°¨tÓ4ˆFØ˜�<Ðr+   )r~  rJ   rš   )rƒ  r  ru  rd   r~   r×  ré  Únnrë  Ú
avg_pool2drR   rß   r   rO   )rº   ræ  rÓ  ri  Úkernelrƒ  ÚidxhÚlength_hÚrange_max_hÚ
adaptive_hÚidxwÚlength_wÚrange_max_wÚ
adaptive_wr…  r†  Úretr\  Újrƒ  ru  rp  r  rs  s                      @@@@@r,   Úadaptive_avg_pool2dr”  k	  s.  ü€ ð
 �\‰\€FØ�K‰K€EÜˆu‹:€DÜ	‡L�LØ�ˆÛRôð �[‰[˜˜Ðò 
ˆÜ�‰Ø�‰FóIõ	
ð
ð ˆR�y�;˜r‘?Ñ" aÒ'¨E°"©I¸ÀB¹Ñ,GÈ1Ò,LÜÑG¬#¨e°B°C¨j¸+Ó*FÔGÓGˆÜñ 
Ü+.¨u°R°S¨z¸;ÈÓ+Oô
ó 
ˆô �x‰x×"Ñ"×-Ñ-¨e°V¸VÓDÐDò:òHö0ñ@ /:¸%À¹)À[ÐQSÁ_Ó.UÑ+€Dˆ(�K Ù.9¸%À¹)À[ÐQSÁ_Ó.UÑ+€Dˆ(�K à�Ô'¨¨aÓ0°$Ð6Ñ7€Dá™jÜ�z‰z˜$ HÔ-Ð-ò ñ  Øˆh˜¨j¸bô�N€Dˆ(ñ  Øˆh˜¨j¸bô�N€Dˆ(ð
 €CÜœ˜dŸj™j¨™nÓ-¬u°T·Z±ZÀ±^Ó/DÓEò +‰ˆˆ1Øˆ;Ø�s˜Ašq !�|Ñ$‰Cà˜˜S !¢Q¨˜\Ñ*Ñ*‰Cð	+ð
 �(˜XÑ%Ñ&Ð&r+   c                 ó”  — t        j                  d|› d�«       t        t        j                  | j
                  d |  «      }t        t        j                  |«      }dg| j                  z  }| j
                  d |  |d |  |t        j                  || j                  ¬«      j                  |«      |z  z   j                  d«      }| j                  t        | j
                  d |  «      t        |«      z   «      }t        j                  |j                  d«      |g| j                  d«      d¬«      j                  |j
                  «      S )NÚmax_unpoolingÚd_forward_outr"   r‚  rN   Fr  )r@   Úalert_not_deterministicr   ÚoperatorrÓ   r  rp  r   r‡  rƒ  r‹  r  r`  rh  r  )	rw   rŽ  ræ  rJ   ÚncÚhwÚindices_nc_shapeÚindices_flatrŸ  s	            r,   Ú_max_unpoolndrž  Ô	  s  € ô 
×!Ñ! M°#°°mÐ"DÔEÜ	”—‘˜dŸj™j¨¨3¨$Ð/Ó	0€BÜ	”—‘˜kÓ	*€BØ�s˜TŸY™Y‘ÐØ"Ÿj™j¨¨3¨$Ð/Ð�U�s�dÐà”$—+‘+˜b¨¯©�+Ó5×:Ñ:Ð;KÓLÈrÑQÑQß�gˆbƒkð ð �^‰^œD §¡¨E¨c¨TÐ!2Ó3´d¸;Ó6GÑGÓH€FÜ×!Ñ!Ø�‰�rÓ˜\˜N¨D¯L©L¸Ó,<Èð "ó ç
�dˆ6�<‰<Óðr+   c                 ó  ‡ ‡‡‡— t        j                  ‰j                  t         j                  k(  ˆfd„«       t        j                  t	        ‰«      dk(  ˆfd„«       t        j                  ‰ j
                  dv ˆ fd„«       t        j                  ‰ j                  ‰j                  k(  ˆˆ fd„«       t        d‰ j
                  «      D ].  Št        j                  ‰ j                  ‰«      dkD  ˆˆ fd	„«       Œ0 t        ‰ ‰‰d«      S )
Nc                  ó"   •— d‰ j                   › �S )Nz2elements in indices should be type int64 but got: rê   )rŽ  s   €r,   r}   zmax_unpool2d.<locals>.<lambda>õ	  s   ø€ ÐDÀWÇ]Á]ÀOÐT€ r+   r#   c                  ó"   •— dt        ‰ «      › d�S )NzMThere should be exactly two elements (height, width) in output_size, but got ú
 elements.©ru  ©ræ  s   €r,   r}   zmax_unpool2d.<locals>.<lambda>ù	  ó   ø€ ðÜ˜;Ó'Ð(¨
ð4ð r+   rÐ  c                  ó$   •— d‰ j                   › d�S )NzLInput to max_unpooling2d should be a 3d or 4d Tensor, but got a tensor with ú dimensions.rj  rŒ   s   €r,   r}   zmax_unpool2d.<locals>.<lambda>
  s   ø€ ð%Ø%)§Y¡Y K¨|ð=ð r+   c                  ó<   •— d‰j                   › d‰ j                   › �S ©NzBExpected shape of indices to be same as that of the input tensor (z%) but got indices tensor with shape: rØ  )rŽ  rw   s   €€r,   r}   zmax_unpool2d.<locals>.<lambda>
  s,   ø€ ØPÐQU×Q[ÑQ[ÐP\ð ]2Ø29·-±-°ðBð r+   r"   r   c                  ó*   •— d‰j                   › d‰ › d�S )NzZmax_unpooling2d(): Expected input to have non-zero size for non-batch dimensions, but got ú with dimension ú being empty.rØ  )r\  rw   s   €€r,   r}   zmax_unpool2d.<locals>.<lambda>
  s%   ø€ ðàŸ:™:˜,Ð&6°q°c¸ðHð r+   )
rd   r~   râ   r©  ru  rp  r  rO   r  rž  )rw   rŽ  ræ  r\  s   ```@r,   Úmax_unpool2dr­  ì	  sÖ   û€ ô 
‡L�LØ�‰œŸ™Ñ$ÛTôô 
‡L�LÜˆKÓ˜AÑó	
ôô 
‡L�LØ�	‰	�VÐó	
ôô 
‡L�LØ�
‰
�g—m‘mÑ#ô	
ôô �1�d—i‘iÓ ò 
ˆÜ�‰Ø�I‰I�a‹L˜1Ñôõ	
ð
ô ˜˜w¨°QÓ7Ð7r+   c                 ó  ‡ ‡‡‡‡‡— t        j                  ‰j                  t         j                  k(  d„ «       t        j                  ‰ j                  dv ˆ fd„«       t        j                  t        ‰«      dk(  ˆfd„«       t        j                  t        ‰«      dk(  ˆfd„«       t        j                  t        ‰«      dk(  ˆfd„«       t        j                  ‰ j                  ‰j                  k(  ˆˆ fd„«       t        d	‰ j                  «      D ].  Št        j                  ‰ j                  ‰«      d
kD  ˆˆ fd„«       Œ0 t        j                  ‰d
   d
kD  xr ‰d	   d
kD  xr ‰d   d
kD  ˆfd„«       t        ‰ ‰‰d«      S )Nc                   ó   — y)Nz(elements in indices should be type int64r*   r*   r+   r,   r}   zmax_unpool3d.<locals>.<lambda>%
  r¹  r+   ©r4  rç  c                  ó$   •— d‰ j                   › d�S )NzLInput to max_unpooling3d should be a 4d or 5d Tensor, but got a tensor with r§  rj  ©rº   s   €r,   r}   zmax_unpool3d.<locals>.<lambda>)
  s   ø€ Ð^Ð_d×_iÑ_iÐ^jÐjvÐw€ r+   r„   c                  ó"   •— dt        ‰ «      › d�S )NzVThere should be exactly three elements (depth, height, width) in output_size, but got r¢  r£  r¤  s   €r,   r}   zmax_unpool3d.<locals>.<lambda>-
  r¥  r+   c                  ó"   •— dt        ‰ «      › d�S )NzRThere should be exactly three elements (depth, height, width) in stride, but got: r¢  r£  ©ri  s   €r,   r}   zmax_unpool3d.<locals>.<lambda>4
  s   ø€ ÐdÔehÐioÓepÐdqÐq{Ð|€ r+   c                  ó"   •— dt        ‰ «      › d�S )NzSThere should be exactly three elements (depth, height, width) in padding, but got: r¢  r£  )r¶  s   €r,   r}   zmax_unpool3d.<locals>.<lambda>8
  s   ø€ ÐeÔfiÐjqÓfrÐesÐs}Ð~€ r+   c                  ó<   •— d‰j                   › d‰ j                   › �S r©  rØ  )rŽ  rº   s   €€r,   r}   zmax_unpool3d.<locals>.<lambda><
  s,   ø€ ØPÐQV×Q\ÑQ\ÐP]ð ^2Ø29·-±-°ðBð r+   r"   r   c                  ó*   •— d‰j                   › d‰ › d�S )NzZmax_unpooling3d(): Expected input to have non-zero size for non-batch dimensions, but got r«  r¬  rØ  )r\  rº   s   €€r,   r}   zmax_unpool3d.<locals>.<lambda>E
  s%   ø€ ðà Ÿ;™;˜-Ð'7¸°s¸-ðIð r+   r#   c                  ó   •— d‰ › �S )Nz5strides should be greater than zero, but got stride: r*   rµ  s   €r,   r}   zmax_unpool3d.<locals>.<lambda>N
  s   ø€ ÐGÈÀxÐP€ r+   )
rd   r~   râ   r©  rp  ru  r  rO   r  rž  )rº   rŽ  ræ  ri  r¶  r\  s   `````@r,   Úmax_unpool3drº  
  sD  ý€ ô 
‡L�LØ�‰œŸ™Ñ$Ñ&Xôô 
‡L�LØ�
‰
�fÐÛwôô 
‡L�LÜˆKÓ˜AÑó	
ôô 
‡L�LÜˆF‹�qÑÛ|ôô 
‡L�LÜˆG‹˜ÑÛ~ôô 
‡L�LØ�‰�w—}‘}Ñ$ô	
ôô �1�e—j‘jÓ!ò 
ˆÜ�‰Ø�J‰J�q‹M˜AÑôõ	
ð
ô 
‡L�LØˆq‰	�A‰Ò9˜& ™) a™-Ò9¨F°1©I¸©MÛPôô
 ˜ ¨°aÓ8Ð8r+   )ri   rd  c                ó$   — t        | |||d|¬«      S )NT©Úinplaceri   ©Ú
_index_add©r8   rJ   r’  rd  ri   s        r,   Ú
index_add_rÁ  T
  s   € ô �a˜˜e V°TÀÔGÐGr+   c                ó$   — t        | |||d|¬«      S )NFr¼  r¾  rÀ  s        r,   Ú	index_addrÃ  `
  s   € ô �a˜˜e V°UÀ%ÔHÐHr+   r½  c                ó8  ‡‡‡‡‡‡— t        j                  | j                  ‰«      Št        j                  ‰j                  dk  ˆfd„«       ‰j                  dk(  r‰j                  d«      ndŠ|j                  dkD  r|j                  ‰«      ndŠt        j                  ‰‰k(  ˆˆˆfd„«       ‰dk7  rft        j                  | j                  «      Št        j                  ‰t        k(  xs t        j                  t        ‰«      ‰«      ˆˆfd„«       |‰z  }| j                  dk(  }|r| j                  d«      n| }d‰z  ‰fz   }|rt        j                  nt        j                  }	 |	|||d¬«      }
|r| S |r|
j                  d«      S |
j!                  «       S )	Nr"   c                  ó$   •— d‰ j                   › d�S ©Nz(Index should have dimension 1 or 0 (got r/  rj  ©r’  s   €r,   r}   z_index_add.<locals>.<lambda>y
  ó   ø€ Ð:¸5¿:¹:¸,ÀaÐH€ r+   r   c                  ó   •— d‰› d‰› d‰ ›�S )NzNumber of indices (z') should be equal to tensor.size(dim) (z), for dim=r*   )rJ   Ú
index_sizere  s   €€€r,   r}   z_index_add.<locals>.<lambda>
  s!   ø€ Ð% j \Ð1XÐYdÐXeÐeqÐmpÐlrÐs€ r+   c                  ó(   •— dt        ‰ «      › d‰› d�S )Nzalpha argument of type z cannot be safely cast to type ú!)r’  )ri   Úpython_types   €€r,   r}   z_index_add.<locals>.<lambda>†
  s   ø€ Ð-¬d°5«k¨]Ð:YÐZeÐYfÐfgÐh€ r+   r4   Tr  )r@   Úcanonicalize_dimsrp  rd   r~   r  Údtype_to_typerâ   r‰  Úis_weakly_lesser_typer’  rP   r   Ú
index_put_Ú	index_putrë  r¢  )r8   rJ   r’  rd  r½  ri   Úzero_dimrG  r�  rÒ  rÁ   rÊ  rÍ  re  s    ``  `     @@@r,   r¿  r¿  m
  sM  ý€ ô ×
!Ñ
! !§&¡&¨#Ó
.€CÜ	‡L�LØ�
‰
�a‰ÛHôð #(§*¡*°¢/�—‘˜A”°q€JØ&,§k¡k°A¢o�&—+‘+˜cÔ"¸1€KÜ	‡L�LØ�zÑ!Ýsôð �‚zÜ×)Ñ)¨!¯'©'Ó2ˆÜ�‰Øœ4Ñò EÜ×*Ñ*¬4°«;¸ÓDÜhô	
ð
 ˜%‘ˆà�v‰v˜‰{€HÙ#ˆ�‰�QŒ¨€BØ
�C‰-˜5˜(Ñ
"€CÙ#*”—’´·±€IÙ
�B˜˜V°Ô
5€CÙØˆá!)ˆs�{‰{˜1‹~Ð?¨s¯~©~Ó/?Ð?r+   c           
      ó  — t        j                  t        | «      dkD  d„ «       t        | «      }| d   j                  «       }|dd  }t	        d„ | D «       «      }|r||f}n||f}||z   }| d   j                  ||«      }dt        |«      z  }	t        |«      D ]j  }
| |
   }t        j                  ||	d||j                  d«      z
  fz   |«      }|rt        j                  ||d|
¬«      }ŒRt        j                  ||d|
¬«      }Œl |S )Nr   c                   ó   — y)Nz#received an empty list of sequencesr*   r*   r+   r,   r}   zpad_sequence.<locals>.<lambda>˜
  r¹  r+   r"   c              3   ó>   K  — | ]  }|j                  d «      –— Œ y­wr¿  ©r  )rÁ  r8   s     r,   rÂ  zpad_sequence.<locals>.<genexpr>œ
  s   è ø€ Ò/ �!—&‘&˜—)Ñ/ùs   ‚)r   r   ©rJ   r’  )
rd   r~   ru  r  r‰   r9  rO   r   r`  r”  )Ú	sequencesÚbatch_firstÚpadding_valueÚsequences_sizeÚmax_sizeÚtrailing_dimsÚmax_lenÚout_dimsrÁ   Údim_paddingsr\  ÚcurrseqÚrows                r,   Úpad_sequencerä  •
  s#  € ô 
‡L�L”�Y“ !Ñ#Ñ%RÔSÜ˜“^€NØ˜‰|× Ñ Ó"€HØ˜Q˜R�L€MÜÑ/ YÔ/Ó/€GÙØ" GÐ,‰à˜^Ð,ˆØ˜-Ñ'€HØ
�A‰,×
Ñ
 ¨-Ó
8€CØœC Ó.Ñ.€LÜ�>Ó"ò @ˆØ˜A‘,ˆÜ×"Ñ"Ø�\ Q¨°'·,±,¸q³/Ñ(AÐ$BÑBÀMó
ˆñ Ü×%Ñ% c¨3°A¸QÐ%Ó?‰Cä×%Ñ% c¨3°A¸QÐ%Ó?‰Cð@ð €Jr+   c                 ó"   — t        | |||d¬«      S )NT©r½  ©Ú_index_copy©r8   rJ   r’  rd  s       r,   Úindex_copy_rê  °
  s   € ä�q˜#˜u f°dÔ;Ð;r+   c                 ó"   — t        | |||d¬«      S )NFræ  rç  ré  s       r,   Ú
index_copyrì  µ
  s   € ô �q˜#˜u f°eÔ<Ð<r+   c                óÔ  ‡— t        j                  | j                  |«      }t        j                  ‰j                  dk  ˆfd„«       | j                  dk(  }|r| j                  d«      n| }‰j                  dk(  r‰j                  d«      n‰Šd|z  ‰fz   }|rt        j                  nt        j                  } ||||«      }	|r| S |r|	j                  d«      S |	j                  «       S )Nr"   c                  ó$   •— d‰ j                   › d�S rÆ  rj  rÇ  s   €r,   r}   z_index_copy.<locals>.<lambda>Á
  rÈ  r+   r   r4   )r@   rÎ  rp  rd   r~   rP   r   rÑ  rÒ  rë  r¢  )
r8   rJ   r’  rd  r½  rÓ  rG  r�  rÒ  rÁ   s
     `       r,   rè  rè  »
  sÂ   ø€ ô ×
!Ñ
! !§&¡&¨#Ó
.€CÜ	‡L�LØ�
‰
�a‰ÛHôð
 �v‰v˜‰{€HÙ#ˆ�‰�QŒ¨€BØ"'§*¡*°¢/ˆE�O‰O˜AÔ°u€EØ
�C‰-˜5˜(Ñ
"€CÙ#*”—’´·±€IÙ
�B˜˜VÓ
$€CÙØˆá!)ˆs�{‰{˜1‹~Ð?¨s¯~©~Ó/?Ð?r+   c                 ó*  — t        j                  | j                  d«      | «      }t        j                  t        j                  | «       «      }| j
                  s| j                  r| j                  d«      }n|}|t        j                  |«      z
  |fS )Nr*   rî  )rd   rw  r`  rc   r×   rŸ  Úis_xpur8  )rw   r†   rf   rÕ   s       r,   Úlog_sigmoid_forwardrñ  Ñ
  sn   € ô �-‰-˜Ÿ™ rÓ*¨DÓ
1€CÜ�	‰	”5—9‘9˜T“?Ð"Ó#€AØ‡|‚|�t—{’{Ø—‘ Ó%‰àˆØ”—‘˜Q“Ñ Ð'Ð'r+   ÚlowÚhighr-  c                 ó˜   — t        j                  | j                  t        |«      t        |«      | j                  | j
                  |¬«      S )N)rò  ró  râ   rƒ  r-  )ÚprimsÚ_uniform_helperr  r   râ   rƒ  )r8   rò  ró  r-  s       r,   Úuniformr÷  Þ
  s=   € ô × Ñ Ø	�‰Ü�c‹NÜ�t‹_Ø�g‰gØ�x‰xØôð r+   c                 ó<   — | j                  t        | |||«      «      S r4   )rñ  r÷  )rw   rò  ró  r-  s       r,   Úuniform_rù  ð
  s   € à�:‰:”g˜d C¨¨yÓ9Ó:Ð:r+   c                 ó"  — t        | «      dz
  }|�>t        j                  |d u d„ «       t        j                  t        |«      |k(  d„ «       |S |�¨t        j                  |d u d„ «       t        j                  t        |«      |k(  d„ «       g }t        |«      D ]Z  \  }}t	        |«      |k(  r$|j                  | |dz      t	        |«      z  «       Œ8|j                  t        | |dz      |z  «      «       Œ\ |S t        j                  dd„ «       y )Nr#   c                   ó   — y©Nz9Must specify exactly one of output_size and scale_factorsr*   r*   r+   r,   r}   z.upsample_compute_output_size.<locals>.<lambda>û
  r¹  r+   c                   ó   — y©NÚ r*   r*   r+   r,   r}   z.upsample_compute_output_size.<locals>.<lambda>ý
  r¹  r+   c                   ó   — yrü  r*   r*   r+   r,   r}   z.upsample_compute_output_size.<locals>.<lambda>  r¹  r+   c                   ó   — yrþ  r*   r*   r+   r,   r}   z.upsample_compute_output_size.<locals>.<lambda>  r¹  r+   Fc                   ó   — yrü  r*   r*   r+   r,   r}   z.upsample_compute_output_size.<locals>.<lambda>  r¹  r+   )ru  rd   r~   rÇ  r~  rb  r   )r$  ræ  Úscale_factorsÚspatial_dimensionsr\  r�  s         r,   Úupsample_compute_output_sizer  ö
  s  € Ü˜Z›¨1Ñ,ÐØÐÜ�‰Ø˜TÐ!ÙOô	
ô 	�‰”S˜Ó%Ð);Ñ;¹ZÔHØÐØÐ ä�‰Ø˜4ÐÙOô	
ô 	�‰”S˜Ó'Ð+=Ñ=¹zÔJØˆÜ˜mÓ,ò 	C‰DˆAˆqÜ�1‹v˜Š{Ø×"Ñ" :¨a°!©eÑ#4´s¸1³vÑ#=Õ>à×"Ñ"¤7¨:°a¸!±eÑ+<¸qÑ+@Ó#AÕBð		Cð
 ÐÜ	‡L�LØÑRõr+   c                 ó   — | €y | |   S r4   r*   )Úscalesr�  s     r,   Úget_scale_valuer    s   € Ø€~ØØ�#‰;Ðr+   r  c                 óx   — t        | j                  «       ||«      }|r|nd gt        |«      z  }t        | ||«      S r4   ©r  r  ru  Ú_upsample_nearest©rº   ræ  r  Úosizer  s        r,   Ú_upsample_nearest_vecr    s@   € ô )¨¯©«°{ÀMÓR€Eá&‰¨T¨F´S¸³ZÑ,?ð ô ˜U E¨6Ó2Ð2r+   c                 ó|   — t        | j                  «       ||«      }|r|nd gt        |«      z  }t        | ||d¬«      S ©NT©Úexactr
  r  s        r,   Ú_upsample_nearest_exact_vecr  -  sB   € ô )¨¯©«°{ÀMÓR€Eá&‰¨T¨F´S¸³ZÑ,?ð ô ˜U E¨6¸Ô>Ð>r+   c                 óÀ  — g }t        |«      }|rdnd}t        |«      D ]¼  }||   }| j                  | |z      }	||   �|	|	||   z  z  n|	|z  }
t        j                  |t        j
                  | j                  ¬«      }||z   |
z  j                  t        j                  «      }t        |dz
  |z
  «      D ]  }|j                  d«      }Œ |j                  |«       Œ¾ |S )Nr›   r�   r¨  r"   rN   )ru  rO   r  rd   r‡  rç   rƒ  r7   r©  rP   rb  )rº   ræ  r  r  rŽ  Únum_spatial_dimsr–  rÓ  r  Úisizerj   Úoutput_indicesÚinput_indicesrQ   s                 r,   Ú!_compute_upsample_nearest_indicesr  B  sñ   € ð €GÜ˜;Ó'ÐÙ‰S˜s€FäÐ#Ó$ò &ˆð ˜A‘ˆØ—‘Ð-Ð-°Ñ1Ñ2ˆØ/5°a©yÐ/D�˜ ¨¡Ñ*Ò+È%ÐRWÉ-ˆäŸ™ e´5·=±=ÈÏÉÔVˆØ(¨6Ñ1°UÑ:×>Ñ>¼u¿{¹{ÓKˆÜÐ'¨!Ñ+¨aÑ/Ó0ò 	8ˆAØ)×3Ñ3°BÓ7‰Mð	8à�‰�}Õ%ð+&ð, €Nr+   )Úpreserve_memory_formatr  r  c                 ó   — t        | ||g«      S r4   ©r  ©rº   ræ  r  s      r,   Úupsample_nearest1dr  b  s   € ô ˜U K°&°Ó:Ð:r+   c                 ó"   — t        | ||gd¬«      S r  r  r  s      r,   Úupsample_nearest_exact1dr   n  s   € ô ˜U K°&°ÀÔFÐFr+   Úscales_hÚscales_wc                 ó    — t        | |||g«      S r4   r  ©rº   ræ  r!  r"  s       r,   Úupsample_nearest2dr%  |  s   € ô ˜U K°(¸HÐ1EÓFÐFr+   c                 ó$   — t        | |||gd¬«      S r  r  r$  s       r,   Ú_upsample_nearest_exact2dr'  ‰  s   € ô ˜U K°(¸HÐ1EÈTÔRÐRr+   Úscales_dc                 ó"   — t        | ||||g«      S r4   r  ©rº   ræ  r(  r!  r"  s        r,   Úupsample_nearest3dr+  ˜  s   € ô ˜U K°(¸HÀhÐ1OÓPÐPr+   c                 ó&   — t        | ||||gd¬«      S r  r  r*  s        r,   Ú_upsample_nearest_exact3dr-  ¦  s!   € ô Øˆ{˜X x°Ð:À$ôð r+   r  c                 óD  — t        | |||¬«      }d d g|z   }t        j                  | |«      }|j                  dk(  rdt	        j
                  | «      }| j                  d   }| j                  j                  dk(  r|dk  rt        j                  }|j                  |¬«      }|S )Nr  r4  r"   ÚcudarJ  )r  r   Ú_unsafe_indexrp  r@   r   r  rƒ  r’  rd   rO  r¢  )	rº   ræ  r  r  Úspatial_indicesrŽ  r  rK  Ú
n_channelss	            r,   r  r  ¸  sŸ   € ô 8Øˆ{˜F¨%ô€Oð �Tˆl˜_Ñ,€GÜ×Ñ  wÓ/€Fà‡{�{�aÒä×3Ñ3°EÓ:ˆð —[‘[ ‘^ˆ
Ø�<‰<×Ñ Ò&¨:¸ª>Ü!×3Ñ3ˆMà×"Ñ"°Ð"Ó?ˆØ€Mr+   c           	      óÚ   — |r|rd}n|rd}n|rd}nd}t        | «      |z  dk(  sJ t        | «      «       ‚t        dt        | «      |«      D �cg c]  }t        | |||z    «      ‘Œ c}S c c}w )Nrç  r4  r„   r#   r   )ru  rO   r×  )ÚparamsÚ
has_biasesÚhas_projectionsÚ
group_sizer\  s        r,   Úgather_paramsr8  Ó  s{   € Ù‘oØ‰
Ù	Ø‰
Ù	Ø‰
àˆ
äˆv‹;˜Ñ# qÒ(Ð5¬#¨f«+Ó5Ð(ä38¸¼CÀ»KÈÓ3TöØ./Œˆf�Q˜˜Z™Ð(Õ)òð ùò s   ÁA(c                 ó~   — |r'| d|z     |d|z     }}| d|z  dz      |d|z  dz      }}n| |   ||   }}d\  }}||||fS )Nr#   r"   ©NNr*   )r4  Úhiddensr\  ÚbidirectionalÚ
cur_paramsÚ
cur_hiddenÚbidir_paramsÚbidir_hiddens           r,   Úparams_hiddensrA  ã  sk   € ÙØ!'¨¨A©¡°¸¸A¹±�Jˆ
Ø%+¨A°©E°A©IÑ%6¸ÀÀAÁÈÁ	Ñ8J�l‰à!'¨¡¨G°A©J�Jˆ
Ø%/Ñ"ˆ�là�z <°Ð=Ð=r+   c                 ó€   — ||kD  sJ ‚|j                  | j                  d|||z
  «      «       | j                  dd|«      S ro   )rb  r   )r>  Úlast_batch_sizeÚ
batch_sizer;  s       r,   Úupdate_hidden_for_packedrE  î  sE   € Ø˜ZÒ'Ð'Ð'Ø‡N�N�:×$Ñ$ Q¨
°OÀjÑ4PÓQÔRØ×Ñ˜Q  :Ó.Ð.r+   c           	      ót   — ||k(  r| S ||k  sJ ‚t        j                  | |j                  d|||z
  «      f«      S ro   )rd   Úconcatr   )r>  rC  rD  Ú
inp_hiddens       r,   Ú update_hidden_for_packed_reverserI  ô  sP   € ð ˜*Ò$ØÐØ˜ZÒ'Ð'Ð'Ü�<‰<àØ×Ñ˜a °*¸Ñ2NÓOð	
óð r+   c           	      óX  — |d   }|d   }|r|d   nd }	|r|d   nd }
g }g }|r|d   n|d   }|j                  dd|«      }t        j                  | t        |«      «      }|r|d d d…   }|D ]V  } | j                  d   }||k(  rn|rt        ||||«      }nt        ||||«      } || |||	||
«      }|}|j                  |«       ŒX |r|j                  «        n!|j                  |«       |j                  «        t        j                  |d«      }|st        j                  |d«      n|}||fS )Nr   r"   r#   r„   rN   )
r   rd   r‚  rh  r  rI  rE  rb  Úreverser!  )ÚinpÚhiddenr4  r5  Ú	hidden_fnÚbatch_sizesrK  Ú	ih_weightÚ	hh_weightÚih_biasÚhh_biasÚstep_outputr;  rC  r>  Ú	split_inpr\  rÁ   Ú
hidden_outs                      r,   Úone_layer_rnn_datarW    sR  € ð �q‘	€IØ�q‘	€IÙ%ˆf�QŠi¨4€GÙ%ˆf�QŠi¨4€Gà€KØ"$€Gá)0�k "’o°kÀ!±n€OØ—‘˜q ! _Ó5€JÜ—‘˜C¤ kÓ!2Ó3€IÙØ™d ˜d‘Oˆ	Øò 'ˆØ�I‰I�a‰Lˆà˜aÒØáÜ9Ø˜O¨Q°ó‰Jô 2Ø˜O¨Q°óˆJñ ˜s J°	¸7ÀIÈwÓWˆ
ØˆØ×Ñ˜:Õ&ð#'ñ& Ø×ÑÕà�‰�zÔ"Ø�‰Ôä
�)‰)�K Ó
#€CÙ.5”—‘˜7 AÔ&¸:€JØ�
ˆ?Ðr+   c                 ó   ‡ — ˆ fd„}|S )Nc                 óD   •—  ‰t        j                  |||«      | z   «      S r4   ©r¼   Úlinear©r\  r>  rP  rR  rQ  rS  Únonlinearitys         €r,   rF   zrnn_cell.<locals>.inner1  s    ø€ ÙœAŸH™H Z°¸GÓDÀqÑHÓIÐIr+   r*   ©r]  rF   s   ` r,   Úrnn_cellr_  0  s   ø€ ôJð €Lr+   c                 ó   ‡ — ˆ fd„}|S )Nc                 ór   •— t        j                  | ||«      }  ‰t        j                  |||«      | z   «      S r4   rZ  r\  s         €r,   rF   zrnn_cell_data.<locals>.inner8  s2   ø€ Ü�H‰H�Q˜	 7Ó+ˆÙœAŸH™H Z°¸GÓDÀqÑHÓIÐIr+   r*   r^  s   ` r,   Úrnn_cell_datarb  7  s   ø€ ôJð €Lr+   c           	      óx  — |d   }|d   }|r|d   nd }|r|d   nd }	t        j                  | ||«      }
|r|
j                  d«      n|
}
|j                  d«      }g }|
D ]   } |||||||	«      }|j	                  |«       Œ" |r|j                  «        t        j                  |d«      }||j                  d«      fS )Nr   r"   r#   r„   )	r¼   r[  ÚfliprP   rb  rK  rd   r!  rë  )rL  rM  r4  r5  rN  rK  rP  rQ  rR  rS  Úprecomputed_inputr>  rT  r\  rÁ   s                  r,   Úone_layer_rnnrf  ?  sÕ   € Ø�q‘	€IØ�q‘	€IÙ%ˆf�QŠi¨4€GÙ%ˆf�QŠi¨4€GäŸ™  i°Ó9ÐÙ5<Ð)×.Ñ.¨qÔ1ÐBSÐØ×!Ñ! !Ó$€JØ€KØò 'ˆÙ˜q *¨i¸À)ÈWÓUˆ
Ø×Ñ˜:Õ&ð'ñ Ø×ÑÔä
�)‰)�K Ó
#€Cà�
×"Ñ" 1Ó%Ð%Ð%r+   c                 ó�  — |d   }|d   }|r|d   }|d   }nFt        j                  |j                  «       «      }t        j                  |j                  «       «      }|d   j                  d«      }	|d   j                  d«      }
g }d}|	j                  d«      }d}d}d}d}| j	                  «       } |	j	                  «       }	|
j	                  «       }
t         j
                  j                  j                  j                  | |||||	|
|||||||||«      }|d   |d   |d   }}}||j                  d«      |j                  d«      ffS )Nr   r"   r#   r„   F)
rd   rþ   r  rP   r¢  r
  r   Úmkldnn_rnn_layerr{  rë  )rL  rM  r4  r5  rK  Úw0Úw1Úw2Úw3ÚhxÚcxrO  ÚmodeÚhidden_sizeÚ
num_layersr<  rÚ  r3  ÚoutputsrU   ÚhyÚcys                         r,   Úmkldnn_one_layer_lstmru  U  sS  € Ø	�‰€BØ	�‰€BÙØ�A‰YˆØ�A‰Y‰ä�[‰[˜Ÿ™›Ó#ˆÜ�[‰[˜Ÿ™›Ó#ˆà	�‰×	Ñ	˜QÓ	€BØ	�‰×	Ñ	˜QÓ	€Bà€KØ€DØ—'‘'˜!“*€KØ€Jð €MØ€Kà€Eð �.‰.Ó
€CØ	�‰‹€BØ	�‰‹€BÜ�i‰i�n‰n×-Ñ-×5Ñ5ØØ
Ø
Ø
Ø
Ø
Ø
ØØØØØØØØØó!€Gð$ ˜‘
˜G A™J¨°©
ˆ2€r€AØˆr�z‰z˜!‹}˜bŸj™j¨›mÐ,Ð,Ð,r+   c
                 óü  — |r| j                  dd«      n| } g }
t        |«      D ]½  }t        ||||«      \  }}}}|r
||dz
  k  r|nd} |	| |||«      \  }}|
j                  |«       |r! |	| |||d¬«      \  }}|
j                  |«       |r*t	        j
                  |g|j                  «       dz
  «      } n|} |dk7  sŒš|sŒ�||dz
  k  sŒ¦t	        j                  | |d¬«      } Œ¿ |r| j                  dd«      n| } | |
fS )Nr   r"   r�   T)rK  )r3  )Ú	transposerO   rA  rb  rd   r!  rJ   r6  )rº   rM  r4  r5  rq  r6  r3  r<  rÚ  Úlayer_fnÚfinal_hiddensr\  r=  r>  r?  r@  Úfwd_inpÚ
fwd_hiddenÚbwd_inpÚ
bwd_hiddens                       r,   Ú_rnn_helperr~  ‡  s"  € ñ &1ˆE�O‰O˜A˜qÔ!°e€EØ€Mä�:Óò >ˆÜ=KØ�F˜A˜}ó>
Ñ:ˆ
�J ¨lñ $¨
°Q¸±UÒ(:‘'ÀˆÙ& u¨j¸*ÀjÓQÑˆ�Ø×Ñ˜ZÔ(áÙ"*Ø�| \°:Àtô#ÑˆG�Zð × Ñ  Ô,áÜ—I‘I˜w¨Ð0°'·+±+³-À!Ñ2CÓD‰EàˆEà�a‹<šE a¨*°q©.Ó&8Ü—M‘M %¨¸Ô=‰Eð)>ñ, &1ˆE�O‰O˜A˜qÔ!°e€EØ�-ÐÐr+   c	                 óè   — |j                  d«      }	t        ||d«      }t        | |	|||||||t        t        t        t        j                  «      ¬«      «
      \  }
}|
t        j                  |d«      fS ©Nr   F©rN  )	Úunbindr8  r~  r   rf  r_  rd   r¦   Ústack©rº   rm  r4  r5  rq  r6  r3  r<  rÚ  rM  rÁ   ry  s               r,   Úrnn_tanh_inputr…  °  ót   € ð �Y‰Y�q‹\€FÜ˜6 :¨uÓ5€FÜ$ØØØØØØØØØÜ”¬´%·*±*Ó)=Ô>óÑ€Cˆð ”—‘˜M¨1Ó-Ð-Ð-r+   c	                 óè   — |j                  d«      }	t        ||d«      }t        | |	|||||||t        t        t        t        j                  «      ¬«      «
      \  }
}|
t        j                  |d«      fS r€  )	r‚  r8  r~  r   rf  r_  rd   r¡  rƒ  r„  s               r,   Úrnn_relu_inputrˆ  Ï  r†  r+   c	                 óê   — |j                  d«      }	t        ||d«      }t        | |	||||||dt        t        |t        t        j                  «      ¬«      «
      \  }
}|
t        j                  |d«      fS ©Nr   F©rO  rN  )	r‚  r8  r~  r   rW  rb  rd   r¡  rƒ  ©ÚdatarO  rm  r4  r5  rq  r6  r3  r<  rM  rÁ   ry  s               r,   Úrnn_relu_datarŽ  î  ó{   € ð �Y‰Y�q‹\€FÜ˜6 :¨uÓ5€FÜ$ØØØØØØØØØÜÜØ#Ü#¤E§J¡JÓ/ô	
óÑ€Cˆð  ”—‘˜M¨1Ó-Ð-Ð-r+   c	                 óê   — |j                  d«      }	t        ||d«      }t        | |	||||||dt        t        |t        t        j                  «      ¬«      «
      \  }
}|
t        j                  |d«      fS rŠ  )	r‚  r8  r~  r   rW  rb  rd   r¦   rƒ  rŒ  s               r,   Úrnn_tanh_datar‘    r�  r+   c                 ól  — t        j                  |||«      | z   }|j                  d|«      }|d   j                  «       }	|d   j                  «       }
|d   j	                  «       }|d   j                  «       }|
|z  |	|z  z   }||j	                  «       z  }|€|nt        j                  ||d «      }||fS )Nr4  r   r"   r#   r„   ©r¼   r[  Úchunkr¾   r¦   )rL  rm  rn  rQ  rS  Ú	hr_weightÚ	chunk_dimÚgatesÚchunked_gatesÚin_gateÚforget_gateÚ	cell_gateÚout_gatert  rs  s                  r,   Ú	lstm_cellr�  4  s»   € Ü�H‰H�R˜ GÓ,¨sÑ2€EØ—K‘K  9Ó-€MØ˜AÑ×&Ñ&Ó(€GØ Ñ"×*Ñ*Ó,€KØ˜aÑ ×%Ñ%Ó'€IØ˜QÑ×'Ñ'Ó)€HØ	�rÑ	˜W yÑ0Ñ	1€BØ	�B—G‘G“IÑ	€BØÐ ‰¤a§h¡h¨r°9¸dÓ&C€Bàˆrˆ6€Mr+   c           
      ó(  — |d   }|d   }|r|d   nd }|r|d   nd }t        |«      dk(  r|d   nt        |«      dk(  r|d   nd }	|d   j                  d«      }
|d   j                  d«      }t        j                  | ||«      }|r|j	                  d«      n|}g }|D ](  } t        | |
||||	d¬«      \  }
}|j                  |
«       Œ* |r|j                  «        t        j                  |d«      }||
j                  d«      |j                  d«      ffS )Nr   r"   r#   r„   rç  r4  ©r–  )ru  rP   r¼   r[  rd  r�  rb  rK  rd   r!  rë  )rL  rM  r4  r5  rK  rP  rQ  rR  rS  r•  rm  rn  re  rT  rÁ   s                  r,   Úone_layer_lstmr   B  s*  € Ø�q‘	€IØ�q‘	€IÙ%ˆf�QŠi¨4€GÙ%ˆf�QŠi¨4€Gä˜“[ AÒ%ˆˆqŠ	¼¸F»ÀqÒ8H¨6°!ª9Èdð ð 
�‰×	Ñ	˜QÓ	€BØ	�‰×	Ñ	˜QÓ	€BäŸ™  i°Ó9ÐÙ5<Ð)×.Ñ.¨qÔ1ÐBSÐØ€KØ ò ˆÜ˜3  B¨	°7¸IÐQRÔS‰ˆˆBØ×Ñ˜2Õðñ Ø×ÑÔä
�)‰)�K Ó
#€Cà�—‘˜A“ §
¡
¨1£Ð.Ð.Ð.r+   c           
      ó¦  — |d   }|d   }|r|d   nd }|r|d   nd }	t        |«      dk(  r|d   nt        |«      dk(  r|d   nd }
g }g }|r|d   n|d   }t        j                  | t        |«      «      }|r|d d d…   }|d   }|d   }|j	                  dd|«      |j	                  dd|«      }}|D �]  } | j
                  d   }t        j                  | ||«      } ||k  ra|j                  |j	                  d|||z
  «      |j	                  d|||z
  «      f«       |j	                  dd|«      |j	                  dd|«      }}||kD  rXt        j                  ||j	                  d|||z
  «      fd«      }t        j                  ||j	                  d|||z
  «      fd«      }t        | ||||	|
d¬«      \  }}|}|j                  |«       �Œ |r|j                  «        ||f}nZ|j                  ||f«       |j                  «        t        |Ž \  }}t        j                  |d«      t        j                  |d«      f}t        j                  |d«      }||fS )	Nr   r"   r#   r„   rç  r4  rN   rŸ  )ru  rd   r‚  rh  r   r  r¼   r[  rb  rG  r�  rK  ré  r!  )rL  rM  r4  r5  rO  rK  rP  rQ  rR  rS  r•  rT  r;  rC  rU  Úorig_hxÚorig_cxrm  rn  r\  rV  Úhidden0Úhidden1rÁ   s                           r,   Úone_layer_lstm_datar¦  ]  sy  € Ø�q‘	€IØ�q‘	€IÙ%ˆf�QŠi¨4€GÙ%ˆf�QŠi¨4€Gä˜“[ AÒ%ˆˆqŠ	¼¸F»ÀqÒ8H¨6°!ª9Èdð ð €KØ€Gá)0�k "’o°kÀ!±n€OÜ—‘˜C¤ kÓ!2Ó3€IÙØ™d ˜d‘Oˆ	à�Q‰i€GØ�Q‰i€Gà�‰�q˜!˜_Ó-Ø�‰�q˜!˜_Ó-ð 	€Bð
 ó ˆØ�I‰I�a‰LˆÜ�h‰h�s˜I wÓ/ˆð ˆÒØ�N‰Nà—I‘I˜a  O°aÑ$7Ó8Ø—I‘I˜a  O°aÑ$7Ó8ðôð —Y‘Y˜q ! QÓ'¨¯©°1°a¸Ó);�ˆBð ˆÒÜ—‘Ø�W—^‘^ A ¸¸OÑ8KÓLÐMÈqóˆBô —‘Ø�W—^‘^ A ¸¸OÑ8KÓLÐMÈqóˆBô ˜3  B¨	°7¸IÐQRÔS‰ˆˆBØˆØ×Ñ˜2Öð3ñ6 Ø×ÑÔØ˜"�X‰
à�‰˜˜B�xÔ Ø�‰ÔÜ ˜=Ñˆ�Ü—Y‘Y˜w¨Ó*¬E¯I©I°g¸qÓ,AÐAˆ
ä
�)‰)�K Ó
#€CØ�
ˆ?Ðr+   c                 ó4   — d„ } || ||«      rt         S t        S )a*  Check whether we could use decompose lstm with mkldnn_rnn_layer.
    All the below conditions need to be met:
        * ``torch._C._get_mkldnn_enabled()`` returns ``True``.
        * All the input args are on CPU.
        * The dtypes of args are either torch.float or torch.bfloat16.
        * Inference.
        * ``has_projections`` returns ``False``.

    Args:
        * input: the input sequence to LSTM
        * hx: a tuple of the input hidden state and cell state ``(h_0, c_0)`` to LSTM
        * params: the weight and bias tensors of LSTM
    c                 óN  — t         j                  j                  «       sy| gt        |«      z   t        t	        j
                  |«      «      z   }|D �ch c]  }|j                  ’Œ }}t        |«      dk7  ry|j                  «       }|t        j                  d«      k7  ry|D �ch c]  }|j                  ’Œ }}|D ]&  }|t         j                  t         j                  fvsŒ& y | j                  ry|d   j                  d«      |d   j                  d«      k7  }	|	ryyc c}w c c}w )NFr"   r�  r   r#   T)rd   r  Ú_get_mkldnn_enabledrh  r   Úfrom_iterablerƒ  ru  Úpoprâ   rù   Úbfloat16Úrequires_gradr  )
rº   rm  r4  r]  ÚtÚdevicesrƒ  Údtypesrâ   r6  s
             r,   Ú
use_mkldnnz2select_one_layer_lstm_function.<locals>.use_mkldnn¬  s   € Ü�x‰x×+Ñ+Ô-Øà�'œD ›HÑ$¤t¬E×,?Ñ,?ÀÓ,GÓ'HÑHˆØ%,Ö- �1—8“8Ð-ˆÐ-Üˆw‹<˜1ÒØà—‘“ˆØ”U—\‘\ %Ó(Ò(Øà#*Ö+˜a�!—'“'Ð+ˆÐ+Øò 	ˆEØœUŸ[™[¬%¯.©.Ð9Ò9Ùð	ð ×ÒØà˜Q™%Ÿ*™* Q›-¨2¨a©5¯:©:°a«=Ñ8ˆÙØàùò) .ùò ,s   ÁDÂ#D")ru  r   )rº   rm  r4  r±  s       r,   Úselect_one_layer_lstm_functionr²  �  s!   € òñ: �%˜˜VÔ$Ü$Ð$äÐr+   c	                 óš  — t        |«      dk(  sJ d«       ‚t        |||d   j                  d«      |d   j                  d«      k7  «      }t        t	        |d   |d   «      «      }	t        | ||«      }
t        | |	||||||||
«
      \  }}t        t	        |Ž «      }|t        j                  |d   d«      t        j                  |d   d«      fS )Nr#   úlstm expects two hidden statesr   r"   )	ru  r8  r  rh  ré  r²  r~  rd   rƒ  )rº   rm  r4  r5  rq  r6  r3  r<  rÚ  rM  rx  rÁ   ry  s                r,   Ú	lstm_implrµ  Ï  sØ   € ô ˆr‹7�aŠ<Ð9Ð9Ó9ˆ<Ü˜6 :¨r°!©u¯z©z¸!«}ÀÀ1ÁÇ
Á
È1ÃÑ/MÓN€FÜ”#�b˜‘e˜R ™UÓ#Ó$€FÜ-¨e°R¸Ó@€HÜ$ØØØØØØØØØØóÑ€Cˆô œ˜mÐ,Ó-€MØ”—‘˜M¨!Ñ,¨aÓ0´%·+±+¸mÈAÑ>NÐPQÓ2RÐRÐRr+   c	                 óž  — t        |«      dk(  sJ d«       ‚t        |||d   j                  d«      |d   j                  d«      k7  «      }t        t	        |d   |d   «      «      }	t        | |	||||||dt        t        |¬«      «
      \  }
}t        t	        |Ž «      }|
t        j                  |d   d«      t        j                  |d   d«      fS )Nr#   r´  r   r"   F)rO  )
ru  r8  r  rh  ré  r~  r   r¦  rd   rƒ  rŒ  s               r,   Úlstm_data_implr·  ñ  sÒ   € ô ˆr‹7�aŠ<Ð9Ð9Ó9ˆ<Ü˜6 :¨r°!©u¯z©z¸!«}ÀÀ1ÁÇ
Á
È1ÃÑ/MÓN€FÜ”#�b˜‘e˜R ™UÓ#Ó$€FÜ$ØØØØØØØØØÜÔ#°Ô=óÑ€Cˆô œ˜mÐ,Ó-€MØ”—‘˜M¨!Ñ,¨aÓ0´%·+±+¸mÈAÑ>NÐPQÓ2RÐRÐRr+   c                 ó&  — | j                  dd«      }t        j                  |||«      j                  dd«      }|d   |d   z   j                  «       }|d   |d   z   j                  «       }	|d   |d   |z  z   j	                  «       }
||
z
  |	z  |
z   S )Nr„   r"   r#   r   )r”  r¼   r[  r¾   r¦   ©rL  r>  rP  rR  rQ  rS  Úchunked_igatesÚchunked_hgatesÚ
reset_gateÚ
input_gateÚnew_gates              r,   Úgru_cellr¿    s¡   € Ø—Y‘Y˜q !“_€NÜ—X‘X˜j¨)°WÓ=×CÑCÀAÀqÓI€NØ  Ñ# n°QÑ&7Ñ7×@Ñ@ÓB€JØ  Ñ# n°QÑ&7Ñ7×@Ñ@ÓB€JØ˜qÑ! ^°AÑ%6¸Ñ%CÑD×JÑJÓL€HØ˜Ñ! ZÑ/°(Ñ:Ð:r+   c                 óP  — t        j                  | ||«      j                  dd«      }t        j                  |||«      j                  dd«      }|d   |d   z   j                  «       }|d   |d   z   j                  «       }	|d   |d   |z  z   j	                  «       }
||
z
  |	z  |
z   S )Nr„   r"   r   r#   r“  r¹  s              r,   Úgru_cell_datarÁ    s±   € Ü—X‘X˜c 9¨gÓ6×<Ñ<¸QÀÓB€NÜ—X‘X˜j¨)°WÓ=×CÑCÀAÀqÓI€NØ  Ñ# n°QÑ&7Ñ7×@Ñ@ÓB€JØ  Ñ# n°QÑ&7Ñ7×@Ñ@ÓB€JØ˜qÑ! ^°AÑ%6¸Ñ%CÑD×JÑJÓL€HØ˜Ñ! ZÑ/°(Ñ:Ð:r+   c	                 óÀ   — t        ||d«      }t        | |j                  d«      ||||||dt        t        |t
        ¬«      «
      \  }	}
|	t        j                  |
d«      fS )NFr   r‹  )r8  r~  r‚  r   rW  rÁ  rd   rƒ  )r�  rO  rm  r4  r5  rq  r6  r3  r<  rÁ   ry  s              r,   Úgru_impl_datarÃ  $  si   € ô ˜6 :¨uÓ5€FÜ$ØØ
�	‰	�!‹ØØØØØØØÜÔ"°Ä}ÔUóÑ€Cˆð ”—‘˜M¨1Ó-Ð-Ð-r+   c	                 ó¾   — t        ||d«      }t        | |j                  d«      |||||||t        t        t
        ¬«      «
      \  }	}
|	t        j                  |
d«      fS )NFr   r�  )r8  r~  r‚  r   rf  r¿  rd   rƒ  )rº   rm  r4  r5  rq  r6  r3  r<  rÚ  rÁ   ry  s              r,   Úgru_implrÅ  B  sf   € ô ˜6 :¨uÓ5€FÜ$ØØ
�	‰	�!‹ØØØØØØØÜ”¬Ô2óÑ€Cˆð ”—‘˜M¨1Ó-Ð-Ð-r+   c                 óÂ   — t        | j                  «       ||«      }t        |d«      }t        |d«      }t        j                  j
                  j                  | ||||«      S ©Nr   r"   )r  r  r  rd   r
  r   Ú_upsample_bilinear2d_aa©rº   ræ  Úalign_cornersr  r  Úscale_hÚscale_ws          r,   Úupsample_bilinear2d_aa_vecrÍ  `  sV   € ô )¨¯©«°{ÀMÓR€EÜ˜m¨QÓ/€GÜ˜m¨QÓ/€GÜ�9‰9�>‰>×1Ñ1Øˆu�m W¨góð r+   c                 óÂ   — t        | j                  «       ||«      }t        |d«      }t        |d«      }t        j                  j
                  j                  | ||||«      S rÇ  )r  r  r  rd   r
  r   Ú_upsample_bicubic2d_aarÉ  s          r,   Úupsample_bicubic2d_aa_vecrÐ  l  sV   € ô )¨¯©«°{ÀMÓR€EÜ˜m¨QÓ/€GÜ˜m¨QÓ/€GÜ�9‰9�>‰>×0Ñ0Øˆu�m W¨góð r+   c                 óz   — t        | j                  «       ||«      }|r|nd gt        |«      z  }t        | |||«      S r4   )r  r  ru  Ú_upsample_linear)rº   ræ  rÊ  r  r  r  s         r,   Ú_upsample_linear_vecrÓ  x  s=   € ô )¨¯©«°{ÀMÓR€EÙ+‰]°$°¼#¸e»*Ñ1D€FÜ˜E 5¨-¸Ó@Ð@r+   rÊ  c                 ó    — t        | |||g«      S r4   ©rÒ  )rº   ræ  rÊ  r"  s       r,   Úupsample_linear1drÖ  †  s   € ô ˜E ;°À¸zÓJÐJr+   c                 ó"   — t        | ||||g«      S r4   rÕ  )rº   ræ  rÊ  r!  r"  s        r,   Úupsample_bilinear2drØ  ‘  s   € ô ˜E ;°ÀÈ(Ð?SÓTÐTr+   c                 ó$   — t        | |||||g«      S r4   rÕ  )rº   ræ  rÊ  r(  r!  r"  s         r,   Úupsample_trilinear3drÚ     s!   € ô Øˆ{˜M¨H°hÀÐ+Ióð r+   c                 óL   — |r|dkD  r| dz
  |dz
  z  S dS |�
|dkD  rd|z  S | |z  S )Nr"   rb   r   r*   )rx  ry  rÊ  rj   s       r,   Ú_compute_scalerÜ  ±  sB   € ÙØ5=À²\�˜#‘ (¨S¡.Ñ1ÐHÀqÐHà#Ð/°E¸A²Iˆs�U‰{ÐUÀ7ÈXÑCUÐUr+   c                 ó&   — |r| |z  S | |dz   z  dz
  S ©Nr›   r*   )rj   Ú	dst_indexrÊ  s      r,   Ú_compute_source_indexrà  ¸  s$   € ÙØ�yÑ Ð à˜	 C™Ñ(¨3Ñ.Ð.r+   ÚweightsÚweights_precisionc                 ó¾   — t        d„ t        | |«      D «       «      d|dz
  z  z   }||z	  }t        j                  |dd«      j	                  t        j
                  «      S )Nc              3   ó    K  — | ]F  \  }}|j                  t        j                  «      |j                  t        j                  «      z  –— ŒH y ­wr4   )r7   rd   r(  )rÁ  r�  rà  s      r,   rÂ  z%_sum_tensors_uint8.<locals>.<genexpr>Â  s8   è ø€ ò Ù26°!°Qˆ�‰ŒU�[‰[Ó˜AŸD™D¤§¡Ó-Õ-ñùs   ‚AAr"   r   éÿ   )Ú_sum_tensorsré  rd   r‹   r7   r  )r€  rá  râ  rŸ  s       r,   Ú_sum_tensors_uint8rç  ¿  sd   € ô ñ Ü:=¸cÀ7Ó:Kôó à	
Ð  1Ñ$Ñ	%ñ'€Fð Ð(Ñ(€FÜ�;‰;�v˜q #Ó&×)Ñ)¬%¯+©+Ó6Ð6r+   c                 óÚ   — t        j                  | «      j                  «       }d}t        j                  ||j                  ¬«      }d|d|dz   z  z  z   }|dk\  }||j                  «       z
  S )Né   r‚  r›   r"   i €  )rd   rƒ  r‰   r‡  rƒ  rà   )rá  Ú
max_weightÚmax_weight_precisionÚ
precisionsÚvaluesr�  s         r,   Ú_compute_weight_precisionrî  É  si   € Ü—‘˜WÓ%×)Ñ)Ó+€JØÐÜ—‘Ð2¸:×;LÑ;LÔM€JØ�:  z°A¡~Ñ!6Ñ7Ñ7€FØ�gÑ€DØ $§(¡(£*Ñ,Ð,r+   c                 óä  ‡ ‡‡— ‰ j                   d   }‰ j                   dd  }t        |«      }t        j                  ‰ t        j                  j
                  ¬«      \  }Šˆˆˆ fd„}t        t        |||«      «      D �	�
��cg c]  \  }	\  }
}} ||
|||dz
  |	z
  «      ‘Œ }}}
}	}t        t        |Ž «      \  }}}g }t        ddgg|z  Ž D ]c  }d d gt        |«      D �cg c]  }||   dk(  r||   n||   ‘Œ c}z   }t        j                  ‰ |«      }t        |‰«      }|j                  |«       Œe t        t        |«      «      D ]p  }	||	   ||	   z
  j!                  dd«      j#                  ‰«      }t        |d d d…   |dd d…   «      D ��cg c]!  \  }}|t%        j&                  ||z
  |«      z   ‘Œ# }}}Œr t        |«      dk(  sJ ‚|d   }t        j(                  ‰ «      }‰ j*                  j,                  dk(  r|d	k  rt$        j.                  }t1        |t$        j2                  «      sJ ‚|j5                  |¬
«      }‰ j7                  «       s|j9                  «       }|S c c}}}
}	w c c}w c c}}w )Nr"   r#   rA  c                 ó|  •— t        | |‰	|«      }t        j                  |‰j                  ¬«      j	                  ‰
¬«      }t        ||‰	«      j                  d¬«      } |j                  |j                  d   gdg|z  ¢­Ž }|j	                  t        j                  «      }|dz   j                  | dz
  ¬«      }|||fS )Nr‚  rê   r�   r…   r   r"   rˆ   )
rÜ  rd   r‡  rƒ  r7   rà  r‹   r  r  r©  )Úinp_sizery  r  ÚnsqueezeÚscale_factorr\  Úx_f32r8   Úxp1rÊ  râ   rº   s            €€€r,   Ú
get_valuesz$_upsample_linear.<locals>.get_valuesã  s®   ø€ ä% h°¸-ÈÓPˆô �L‰L˜¨%¯,©,Ô7×:Ñ:ÀÐ:ÓGˆä% l°A°}ÓE×KÑKÐPSÐKÓTˆØ�—‘˜eŸk™k¨!™nÐ@°¨s°hÑ/?Ò@ˆØ�H‰H”U—[‘[Ó!ˆØ�1‰u�m‰m ¨1¡ˆmÓ-ˆØ�a˜ˆ}Ðr+   r   r�   rb   r/  é   rJ  )r  ru  r@   rA   rC  ÚINT_TO_FLOATrÇ  ré  rh  r   rO   r   r0  r   rb  Úreversedr‹   r7   rd   rÓ   r   rƒ  r’  rO  r6   r   r¢  r:  Úround)rº   ræ  rÊ  r  r2  Ú	inp_sizesÚn_dimsrQ   rö  r\  rñ  ry  rí  Úxs_f32ÚxsÚxp1sÚvsrâ  Úkr�  ÚvÚxscaleÚv1Úv2r  rK  râ   s   ` `                       @r,   rÒ  rÒ  Ò  s|  ú€ ð —‘˜Q‘€JØ—‘˜A˜B�€IÜ�‹^€Fä×'Ñ'ØÜ!×AÑA×NÑNô�H€A€uö
ô 09Ü�	˜;¨Ó/ó0
÷ñ á+ˆAÑ+�˜( Fñ 	�8˜X v¨v¸©z¸A©~Õ>ð€Fó ô œC ˜LÓ)Ñ€FˆB�à	€BÜ˜˜1�v�h Ñ'Ð(ò ˆØ�TˆlÄuÈVÃ}ÖUÀ! q¨¡t¨q¢y˜b še°d¸1±gÑ=ÒUÑUˆÜ×Ñ˜u cÓ*ˆÜ# A uÓ-ˆØ
�	‰	�!�ð	ô ”e˜F“mÓ$ò 
ˆØ˜‘)˜b ™eÑ#×*Ñ*¨3°Ó4×7Ñ7¸Ó>ˆô ˜b¡ 1 ™g r¨!¨$¨Q¨$¡xÓ0÷
ñ ��Bð ”—‘˜2 ™7 FÓ+Ó+ð
ˆò 
ð
ô ˆr‹7�aŠ<Ðˆ<Ø�‰U€Fô ×/Ñ/°Ó6€Mð ‡|�|×Ñ˜FÒ" z°B¢Ü×/Ñ/ˆä�fœeŸl™lÔ+Ð+Ð+à×Ñ¨]ÐÓ;€Fà×"Ñ"Ô$Ø—‘“ˆà€MùõQùò Vùó
s   ÂI
ÃI'Æ&I,râ  rã  c                 ó4   — | j                   |j                   k(  S r4   rØ  )râ  rã  s     r,   Úis_same_sizer    s   € à�7‰7�a—g‘gÑÐr+   c                 ó.   — t         j                  | |«      S r4   )r   r‹  )r8   r  rB   s      r,   Ú_reshape_aliasr	  !  s   € ô �9‰9�Q˜ÓÐr+   c                 ó.   — t         j                  | |«      S r4   )r   r’  )r8   rŽ  s     r,   r0  r0  '  s   € ä�:‰:�a˜Ó!Ð!r+   c                 ó2   — t         j                  | |||«      S r4   )r   rÒ  )r8   rŽ  rx   r  s       r,   r  r  ,  s   € ä�>‰>˜!˜W e¨ZÓ8Ð8r+   c                 ó’  — |D ]F  }|€Œt        j                  |j                  t         j                  t         j                  fv d„ «       ŒH t        j                  |j                  t         j
                  k(  d„ «       ddlm}  || j                  «       dk(  «      r<t         j                  j                  | |«      }| j                  |j                  |«      S t        t        |«      «      D ]2  }||   }|€Œ|j                  d| j!                  |«      dz
  ¬«      ||<   Œ4 t"        j%                  | |«      j'                  | |«      S )Nc                   ó   — y©Nz3tensors used as indices must be long or int tensorsr*   r*   r+   r,   r}   z&_unsafe_masked_index.<locals>.<lambda>7  r¹  r+   c                   ó   — y©Nz*tensors used as masks must be bool tensorsr*   r*   r+   r,   r}   z&_unsafe_masked_index.<locals>.<lambda><  r¹  r+   r   rÒ  r"   ry  )rd   r~   râ   rU  r~  r‰  rf  rd  rñ   Ú_meta_registrationsÚmeta_index_Tensorr9  r  rO   ru  r‹   r  r   r0  rV  )r8   r�  rŽ  Úfillr’  rd  Úmeta_resultr\  s           r,   rŒ  rŒ  1  s  € àò ˆØÑÜ�L‰LØ—‘¤§
¡
¬E¯I©IÐ6Ð6ÙMõðô 
‡L�LØ�
‰
”e—j‘jÑ Ù<ôõ
 Ká˜AŸG™G›I¨™NÔ+Ü×/Ñ/×AÑAÀ!ÀWÓMˆØ�z‰z˜+×+Ñ+¨TÓ2Ð2ä”3�w“<Ó ò ?ˆØ˜‘
ˆØÑØŸ™¨°·±°q³	¸A±˜Ó>ˆG�AŠJð?ô
 ×Ñ˜a Ó)×5Ñ5°t°e¸TÓBÐBr+   c                 óL  — |D ]F  }|€Œt        j                  |j                  t         j                  t         j                  fv d„ «       ŒH t        j                  |j                  t         j
                  k(  d„ «       | j                  «       dk(  r| j                  «       S t        t        |«      «      D ]B  }||   }|€Œ|j                  | j                  |«       | j                  |«      dz
  ¬«      ||<   ŒD |j                  | d«      }t        j                  | ||d¬«      S )Nc                   ó   — yr  r*   r*   r+   r,   r}   z5_unsafe_masked_index_put_accumulate.<locals>.<lambda>S  r¹  r+   c                   ó   — yr  r*   r*   r+   r,   r}   z5_unsafe_masked_index_put_accumulate.<locals>.<lambda>X  r¹  r+   r   r"   ry  Tr  )rd   r~   râ   rU  r~  r‰  rñ   r†  rO   ru  r‹   r  rV  r   r  )r8   r�  rŽ  rí  r’  r\  Úmasked_values          r,   Ú#_unsafe_masked_index_put_accumulater  M  s   € àò ˆØÑÜ�L‰LØ—‘¤§
¡
¬E¯I©IÐ6Ð6ÙMõðô 
‡L�LØ�
‰
”e—j‘jÑ Ù<ôð
 	‡w�wƒy�A‚~Ø�w‰w‹yÐä”3�w“<Ó ò HˆØ˜‘
ˆØÑØŸ™¨!¯&©&°«)¨¸¿¹À»ÀQ¹˜ÓGˆG�AŠJðHð
 ×%Ñ% t e¨QÓ/€LÜ×!Ñ! ! W¨lÀtÐ!ÓLÐLr+   c                 óÖ  — | j                  «       }d}|dk  rd}|�6|dkD  r*dg|z  }|j                  d   ||<   |j                  |«      }n|}| |z  } t        j                  ||k7  |d«      }	|	j                  |«      }
t        j                  | ||
«      j                  |«       }t        j                  ||k7  |d«      }|t        j                  j                  k(  r|dkD  r| j                  dd«      }||fS |�lj                  | j                  «      }t        j                  |||
«      j                  |«      }t        j                  ||k7  |d«      }|j                  «       }n"||k7  j                  «       j                  | «      }|t        j                  j                  k(  r|j                  «       }||fS |t        j                   j                  k(  r|j                  «       |z  }||fS )Nr"   r#   r   r*   r�   )rJ   r  r‹  rd   re   rP   Úgatherrë  r!   r'   rx   r9  r…  rà   r7   r)   r(   )rw   rì   rÇ   rÝ   r  rü  r  r  Úwr  Úsafe_target_r  r  Úwsums                 r,   Ú_nll_loss_forwardr  g  sÐ  € ð �X‰X‹Z€FØ€KØ�‚zØˆàÐØ�AŠ:àðàñˆEð "(§¡¨a¡ˆE�+ÑØ—‘˜EÓ"‰AàˆAØ�a‰xˆÜ—+‘+˜f¨Ñ4°f¸aÓ@€KØ×(Ñ(¨Ó5€Lô �l‰l˜4 ¨lÓ;×CÑCÀKÓPÐP€Fä�[‰[˜ <Ñ/°¸Ó;€Fà”I—N‘N×(Ñ(Ò(¨V°aªZØ—}‘} R¨Ó-ˆØ�|Ð#Ð#àÐØ�H‰H�T—Z‘ZÓ ˆÜ�|‰|˜A˜{¨LÓ9×AÑAÀ+ÓNˆÜ�{‰{˜6 \Ñ1°4¸Ó;ˆØ—x‘x“z‰à ,Ñ.×3Ñ3Ó5×8Ñ8¸Ó>ˆà”I—M‘M×'Ñ'Ò'Ø—‘“ˆð �<ÐÐð 
”i—n‘n×*Ñ*Ò	*Ø—‘“ Ñ,ˆà�<ÐÐr+   c                 ó   — | j                  «       dkD  r| j                  «       dk  sJ d«       ‚|j                  «       dk  sJ d«       ‚| j                  «       dk(  xr |j                  «       dk(  }|sA| j                  d   |j                  d   k(  s"J d| j                  › d|j                  › d�«       ‚| j                  d	   }|�=|j                  «       dk(  r|j                  «       |k(  sJ d
|› d|j                  › �«       ‚t        | ||||«      S )Nr   r#   r+  r"   r,  r-  r.  r/  rN   z/weight tensor should be defined either for all z7 classes or no classes but got weight tensor of shape: )rJ   r  rñ   r  )rw   rì   rÇ   rÝ   r  r1  Ú	n_classess          r,   Únll_loss_forwardr"  œ  s  € ð �8‰8‹:˜Š>˜dŸh™h›j¨AšoÐPÐ/PÓPÐ-Ø�:‰:‹<˜1Òð ØEóÐð —8‘8“: ‘?Ò8 v§z¡z£|°qÑ'8€LÙ˜DŸJ™J q™M¨V¯\©\¸!©_Ò<ð Ø
$ T§Z¡Z L°
¸6¿<¹<¸.ÈÐJóÐ=ð —
‘
˜2‘€Iàˆ>˜fŸj™j›l¨aÒ/°F·L±L³NÀiÒ4Oð Ø
9¸)¸ð E+Ø+1¯<©<¨.ð	:óÐPô
 ˜T 6¨6°9¸lÓKÐKr+   c                 ó    — t        | ||||«      S r4   )r  )rw   rì   rÇ   rÝ   r  s        r,   Únll_loss2d_forwardr$  ¹  s   € ô ˜T 6¨6°9¸lÓKÐKr+   ÚAc                 ó0   — |dz   | z  |dz   z
  | z  | z  dz   S )Nr#   r„   r"   r*   ©r8   r%  s     r,   Ú_upsample_cubic_convolution1r(  Ç  s(   € Ø�‰U�a‰K˜1˜q™5Ñ! QÑ&¨Ñ*¨QÑ.Ð.r+   c                 ó<   — || z  d|z  z
  | z  d|z  z   | z  d|z  z
  S )Nrç  é   r4  r*   r'  s     r,   Ú_upsample_cubic_convolution2r+  Ë  s0   € Ø�‰U�Q˜‘U‰]˜aÑ ! a¡%Ñ'¨1Ñ,¨q°1©uÑ4Ð4r+   r®  c                 óÒ  — d}| j                   t        j                   d«      k(  r�t        j                  | d| z
  gd¬«      }t        j                  | dz   d| z
  gd¬«      }t        ||«      }t	        ||«      }t        j
                  |d¬«      \  }}t        j
                  |d¬«      \  }}	|||	|fS t        | dz   |«      t	        | |«      t	        d| z
  |«      t        d| z
  |«      fS )Ng      è¿r�  rb   r   r|   rð   )rƒ  rd   rƒ  r+  r(  r‚  )
r®  r%  Útt1Útt2Úw03Úw12ri  rl  rj  rk  s
             r,   Ú _upsample_get_cubic_coefficientsr1  Ï  sß   € Ø€Aà‡x�x”5—<‘< Ó&Ò&Ü�k‰k˜1˜c A™g˜,¨AÔ.ˆÜ�k‰k˜1˜s™7 C¨!¡GÐ,°!Ô4ˆÜ*¨3°Ó2ˆÜ*¨3°Ó2ˆÜ—‘˜c qÔ)‰ˆˆBÜ—‘˜c qÔ)‰ˆˆBØ�2�r˜2ˆ~Ðô )¨¨S©°!Ó4Ü(¨¨AÓ.Ü(¨¨q©°!Ó4Ü(¨¨q©°!Ó4ð	
ð 	
r+   ÚcoeffsÚtsc                 óP   — t        |«      }t        d„ t        | |«      D «       «      S )Nc              3   ó,   K  — | ]  \  }}||z  –— Œ y ­wr4   r*   ©rÁ  rÁ  rÂ  s      r,   rÂ  z+_upsample_cubic_interp1d.<locals>.<genexpr>å  s   è ø€ ÒE¡H R¨˜˜R�ÑEùri  )r1  ræ  ré  )r2  r3  Úcoeffs2s      r,   Ú_upsample_cubic_interp1dr8  ã  s$   € Ü.¨rÓ2€GÜÑE´°F¸GÓ0DÔEÓEÐEr+   c                 ó6   — t        t        j                  | «      S r4   )r   rd   Úadd)r3  s    r,   ræ  ræ  é  s   € Ü”%—)‘)˜RÓ Ð r+   Ú	num_stepsc                 óŠ   — | dk  rt        j                  d||¬«      S |s| dz
  | z  nd}t        j                  | || ||¬«      S )Nr"   r   r„  )Ústepsrƒ  râ   )rd   rd  Úlinspace)r;  rÊ  râ   rƒ  râ  s        r,   Ú_linspace_from_neg_oner?  í  sI   € ð �A‚~Ü�|‰|˜A f°EÔ:Ð:á-:ˆ)�a‰-˜9Ò	$À€AÜ�>‰>˜1˜"˜a y¸ÀuÔMÐMr+   ÚthetaÚhr  c                 óü  — | j                   }| j                  }t        ||||«      j                  d|d«      }t        ||||«      j                  |dd«      }t	        j
                  d||¬«      }t        j                  j                  j                  |ddd¬«      }t        j                  j                  j                  |ddd¬«      }t        j                  j                  j                  |d	dd¬«      }||z   |z   S )
Nr"   )r"   r"   r"   r¨  )r   r#   Úconstantr   ©rÛ  ro  rx   ©r"   r"   )r#   r   ©	râ   rƒ  r?  r‹  rd   rˆ  r‡  rë  rÛ  )	r@  rA  r  rÊ  râ   rƒ  Úgrid_xÚgrid_yÚgrid_ones	            r,   Ú_make_base_grid_4drJ  ÷  så   € Ø�K‰K€EØ�\‰\€Fô $ A }°e¸VÓD×IÑIÈ!ÈQÐPQÓR€FÜ# A }°e¸VÓD×IÑIÈ!ÈQÐPQÓR€FÜ�z‰z˜)¨5¸Ô@€Hô �X‰X× Ñ ×$Ñ$ V°¸jÐPQÐ$ÓR€FÜ�X‰X× Ñ ×$Ñ$ V°¸jÐPQÐ$ÓR€FÜ�x‰x×"Ñ"×&Ñ& x°VÀ*ÐTUÐ&ÓV€HØ�F‰?˜XÑ%Ð%r+   rÓ  c                 ó   — | j                   }| j                  }t        ||||«      j                  dd|d«      }t        ||||«      j                  d|dd«      }t        ||||«      j                  |ddd«      }	t	        j
                  d||¬«      }
t        j                  j                  j                  |ddd¬«      }t        j                  j                  j                  |ddd¬«      }t        j                  j                  j                  |	d	dd¬«      }	t        j                  j                  j                  |
d
dd¬«      }
||z   |	z   |
z   S )Nr"   )r"   r"   r"   r"   r¨  )r   r„   rC  r   rD  )r"   r#   )r#   r"   )r„   r   rF  )r@  rÓ  rA  r  rÊ  râ   rƒ  rG  rH  Úgrid_zrI  s              r,   Ú_make_base_grid_5drM    s5  € Ø�K‰K€EØ�\‰\€Fä# A }°e¸VÓD×IÑIÈ!ÈQÐPQÐSTÓU€FÜ# A }°e¸VÓD×IÑIÈ!ÈQÐPQÐSTÓU€FÜ# A }°e¸VÓD×IÑIÈ!ÈQÐPQÐSTÓU€FÜ�z‰z˜,¨e¸FÔC€Hô �X‰X× Ñ ×$Ñ$ V°¸jÐPQÐ$ÓR€FÜ�X‰X× Ñ ×$Ñ$ V°¸jÐPQÐ$ÓR€FÜ�X‰X× Ñ ×$Ñ$ V°¸jÐPQÐ$ÓR€FÜ�x‰x×"Ñ"×&Ñ& x°VÀ*ÐTUÐ&ÓV€HØ�F‰?˜VÑ# hÑ.Ð.r+   c                 óÒ   — |\  }}}}t        | |||¬«      }|j                  ddd«      | j                  j                  d«      z  j	                  d«      }|j                  |||d«      S )N©rÊ  rN   r„   r"   rL  r#   )rJ  r‹  rQ  rP   rà   )	r@  r  rÊ  rù  rQ   rA  r  Ú	base_gridÚgrids	            r,   Ú_affine_grid_generator_4drR    sg   € Ø�J€A€qˆ!ˆQÜ" 5¨!¨Q¸mÔL€Ið �N‰N˜2˜q !Ó$ u§x¡x×'9Ñ'9¸!Ó'<Ñ<×AÑAÀ"ÓE€DØ�9‰9�Q˜˜1˜aÓ Ð r+   c                 óØ   — |\  }}}}}t        | ||||¬«      }|j                  ddd«      | j                  j                  d«      z  j	                  d«      }	|	j                  ||||d«      S )NrO  rN   r4  r"   rL  r„   )rM  r‹  rQ  rP   rà   )
r@  r  rÊ  rù  rQ   rÓ  rA  r  rP  rQ  s
             r,   Ú_affine_grid_generator_5drT  #  sm   € Ø�M€A€qˆ!ˆQ�Ü" 5¨!¨Q°ÀÔO€Ið �N‰N˜2˜q !Ó$ u§x¡x×'9Ñ'9¸!Ó'<Ñ<×AÑAÀ"ÓE€DØ�9‰9�Q˜˜1˜a Ó#Ð#r+   c                 óš   — t        j                  t        |«      dv d„ «       t        |«      dk(  rt        | ||¬«      S t	        | ||¬«      S )Nr°  c                   ó   — y)NzCaffine_grid_generator needs 4d (spatial) or 5d (volumetric) inputs.r*   r*   r+   r,   r}   z'affine_grid_generator.<locals>.<lambda>3  r¹  r+   r4  rO  )rd   r~   ru  rR  rT  )r@  r  rÊ  s      r,   Úaffine_grid_generatorrW  -  sJ   € ô 
‡L�LÜˆD‹	�VÐÙUôô ˆ4ƒy�A‚~Ü(¨°ÀMÔRÐRä(¨°ÀMÔRÐRr+   rQ  Úinterpolation_modeÚpadding_modeÚ_expand_gridc           	      óÈ  ‡ ‡‡‡‡‡‡‡‡‡‡ ‡!‡"‡#‡$‡%‡&‡'‡(‡)‡*‡+‡,‡-— t        j                  ‰dv ˆfd„«       t        j                  ‰dv ˆfd„«       dt        dt        dt        fˆfd„Š-dt        dt        d	t        dt        fd
„Š+dt        dt        dt        fˆˆˆ+fd„Š dt        dt        dt        fˆ ˆ-fd„}‰ j                  \  ŠŠŠ$Š%|j                  \  }Š)Š*}|dk(  sJ ‚‰r(|j                  ‰d‰)‰*|«      j                  ‰‰‰)‰*d«      }dt        dt        dt        fˆ$ˆ%fd„Š&t        j                  ‰‰ j                  ¬«      j                  ‰ddd«      Št        j                  ‰‰ j                  ¬«      j                  d‰dd«      Šdt        dt        dt        dt        fˆˆˆˆ&ˆ)ˆ*fd„Šdt        dt        dt        fˆˆˆ ˆfd„Š"|d   }	|d   }
‰dk(  r• ||	‰%«      } ||
‰$«      }|j                  «       |j                  «       cŠ'Š(‰'dz   ‰(}}‰'‰(dz   }}||}}||z
  ||z
  z  }||z
  ||z
  z  }||z
  ||z
  z  }|‰'z
  |‰(z
  z  }t        ˆ"fd„‰'‰(|f|||f|||f|||ffD «       «      S ‰dk(  r< ||	‰%«      } ||
‰$«      }|j                  «       }|j                  «       } ‰"||d«      S  ‰-|	‰%«      } ‰-|
‰$«      }|j                  «       Š'|j                  «       Š(|‰'z
  Š,|‰(z
  }‰s"‰,j                  d«      Š,|j                  d«      }dt        dt        dt        fˆ ˆ"ˆ$ˆ%fd„Š#dt        dt        fˆ#ˆ'ˆ(ˆ,fd„Š!t        ˆ!fd„t        d «      D «       «      }t!        ||«      S )!N)r   r"   r#   c                  ó   •— d‰ › �S )NzInvalid interpolation mode r*   )rX  s   €r,   r}   z"_grid_sampler_2d.<locals>.<lambda>L  s   ø€ Ð-Ð.@Ð-AÐB€ r+   c                  ó   •— d‰ › �S )NzInvalid padding mode r*   )rY  s   €r,   r}   z"_grid_sampler_2d.<locals>.<lambda>O  s   ø€ Ð-BÀ<À.Ð+Q€ r+   Úcoordsr  rK   c                 óB   •— ‰r|dz  dz
  n|dz  }|dz  dz
  }| |z  |z   S rÞ  r*   )r^  r  rÓ   ÚofsrÊ  s       €r,   Úunnormalizez%_grid_sampler_2d.<locals>.unnormalizeR  s8   ø€ ñ %2ˆt�c‰z˜CÒ¸¸s¹
ˆØ�S‰j˜3ÑˆØ˜‰|˜cÑ!Ð!r+   Ú	twice_lowÚ
twice_highc                 óP  — ||k(  rt        j                  | «      S |dz  }||z
  dz  }| |z
  j                  «       }t        j                  ||«      }||z  j	                  «       j                  t         j                  ¬«      }t        j                  |dz  dk(  ||z   ||z   |z
  «      S )Nr#   rê   r"   r   )rd   rû   r×   ÚfmodÚfloorr7   Úint8re   )r^  rb  rc  Ú
coords_minÚcoords_spanÚcoords2ÚextraÚflipss           r,   Úreflect_coordinatesz-_grid_sampler_2d.<locals>.reflect_coordinates]  sª   € Ø˜
Ò"Ü×#Ñ# FÓ+Ð+Ø ‘]ˆ
Ø! IÑ-°Ñ2ˆØ˜JÑ&×+Ñ+Ó-ˆÜ—
‘
˜7 KÓ0ˆØ˜;Ñ&×-Ñ-Ó/×2Ñ2¼¿¹Ð2ÓDˆÜ�{‰{Ø�A‰I˜‰N˜E JÑ.°¸jÑ0HÈ5Ñ0Pó
ð 	
r+   c                 óÊ   •— ‰dk(  r| S ‰dk(  rt        j                  | d|dz
  «      S ‰r ‰| dd|dz
  z  «      }n ‰| dd|z  dz
  «      }t        j                  |d|dz
  «      S )Nr   r"   r#   rN   rŠ   )r^  r  Úcoords_reflectedrÊ  rY  rm  s      €€€r,   Úcompute_coordinatesz-_grid_sampler_2d.<locals>.compute_coordinatesi  sx   ø€ Ø˜1ÒØˆMØ˜QÒÜ—;‘;˜v q¨$°©(Ó3Ð3áÙ#6°v¸qÀ!ÀtÈaÁxÁ.Ó#QÑ á#6°v¸rÀ1ÀtÁ8ÈaÁ<Ó#PÐ Ü—;‘;Ð/°°D¸1±HÓ=Ð=r+   c                 ó(   •—  ‰| |«      } ‰||«      S r4   r*   )r^  r  Ú	coords_unrp  ra  s      €€r,   Úcompute_source_indexz._grid_sampler_2d.<locals>.compute_source_indexu  s   ø€ Ù ¨Ó-ˆ	Ù" 9¨dÓ3Ð3r+   r#   r"   rþ  Úysc                 ó˜   •— t        j                  d| k  t        j                  | ‰k  t        j                  d|k  |‰k  «      «      «      S ro   ©rd   rŠ  )rþ  rt  ÚiHÚiWs     €€r,   Úin_bounds_condz(_grid_sampler_2d.<locals>.in_bounds_cond…  sF   ø€ Ü× Ñ Ø�‰G”U×&Ñ& r¨B¡w´×0AÑ0AÀ!ÀrÁ'È2ÐPRÉ7Ó0SÓTó
ð 	
r+   r‚  Úwsc                 óÔ   •‡‡—  ‰| |«      Š‰r‰ndŠt        ˆˆˆˆ	ˆ
fd„| j                  t        j                  ¬«      |j                  t        j                  ¬«      |fD «       «      S )Nr"   c              3   óp   •K  — | ]-  }t        j                  ‰|d «      j                  ‰‰‰‰«      –— Œ/ y­wr¿  )rd   re   r‹  )rÁ  r®  r©  rà  rÍ  ÚoHÚoWs     €€€€€r,   rÂ  z1_grid_sampler_2d.<locals>.clip.<locals>.<genexpr>”  s7   øè ø€ ò 
àô �K‰K˜˜a Ó#×(Ñ(¨¨A¨r°2×6ñ
ùs   ƒ36rê   )r×  r7   rd   r©  )rþ  rt  rz  rà  rÍ  rª  r©  rZ  ry  r}  r~  s      @@€€€€€€r,   Úclipz_grid_sampler_2d.<locals>.clip�  sY   ú€ Ù˜b "Ó%ˆñ
 ‰A 1ˆÜ÷ 
à—e‘e¤%§+¡+�eÓ.°·±¼E¿K¹K°Ó0HÈ"ÐMô
ó 
ð 	
r+   ÚixÚiyc                 ó8   •—  ‰	| ||«      \  }}}‰‰‰||f   |z  S r4   r*   )
r€  r�  r  Úidx_xÚidx_yÚw_ÚC_idxÚN_idxrâ  r  s
         €€€€r,   Úget_summandz%_grid_sampler_2d.<locals>.get_summand™  s0   ø€ á  B¨›?Ñˆˆu�bØ�˜˜u eÐ+Ñ,¨rÑ1Ð1r+   ).r   ).r"   r   c              3   ó:   •K  — | ]  \  }}} ‰|||«      –— Œ y ­wr4   r*   )rÁ  r€  r�  r  rˆ  s       €r,   rÂ  z#_grid_sampler_2d.<locals>.<genexpr>¯  s(   øè ø€ ò 
á��R˜ñ ˜˜B ×"ñ
ùs   ƒc                 ó<   •—  ‰| ‰«      } ‰|‰«      } ‰||d«      S rW   r*   )r€  r�  r8   rU   rp  rˆ  rw  rx  s       €€€€r,   Úget_value_boundedz+_grid_sampler_2d.<locals>.get_value_boundedÎ  s*   ø€ Ù# B¨Ó+ˆAÙ# B¨Ó+ˆAÙ˜q ! QÓ'Ð'r+   r`  c                 ó‚   •— ‰| dz
  z   } ‰‰dz
  |«       ‰‰|«       ‰‰dz   |«       ‰‰dz   |«      f}t        |‰«      S )Nr"   r#   )r8  )r`  Úiy_ofsÚcsr‹  Úix_nwÚiy_nwÚtxs      €€€€r,   Ú	get_coeffz#_grid_sampler_2d.<locals>.get_coeffÓ  s[   ø€ Ø˜c A™gÑ&ˆFá! %¨!¡)¨VÓ4Ù! %¨Ó0Ù! %¨!¡)¨VÓ4Ù! %¨!¡)¨VÓ4ð	ˆBô ,¨B°Ó3Ð3r+   c              3   ó.   •K  — | ]  } ‰|«      –— Œ y ­wr4   r*   )rÁ  r`  r’  s     €r,   rÂ  z#_grid_sampler_2d.<locals>.<genexpr>Ý  s   øè ø€ Ò:¨#‘y —~Ñ:ùó   ƒr4  )rd   r~   r   r~  r  r‹  r…  r‡  rƒ  r   rf  ræ  rú  rP   r×  rO   r8  ).râ  rQ  rX  rY  rÊ  rZ  rs  rQ   Útwor8   rU   r€  r�  Úix_neÚiy_neÚix_swÚiy_swÚix_seÚiy_seÚw_nwÚw_neÚw_swÚw_seÚ
ix_nearestÚ
iy_nearestÚtyr2  rª  r†  r©  r‡  r  rp  r’  rˆ  r‹  rw  rx  ry  r�  r�  r}  r~  rm  r‘  ra  s.   ` ````                     @@@@@@@@@@@@@@@@@@@r,   Ú_grid_sampler_2dr£  ;  sª  ÿÿÿ€ ô 
‡L�LØ˜iÐ'ÛBôô 
‡L�LØ˜	Ð!Ó#Qôð"œFð "¬#ð "´&õ "ð

¤Fð 

´sð 

Ìð 

ÔPVó 

ð
>¤Fð 
>´#ð 
>¼&÷ 
>ð4¤Vð 4´3ð 4¼6ö 4ð —7‘7�L€A€qˆ"ˆbØ—Z‘Z�N€A€rˆ2ˆsØ�!Š8€Oˆ8áð �y‰y˜˜A˜r 2 sÓ+×2Ñ2°1°a¸¸RÀÓCˆð
œ6ð 
¤vð 
´&ö 
ô
 �L‰L˜ 1§8¡8Ô,×1Ñ1°!°Q¸¸1Ó=€EÜ�L‰L˜ 1§8¡8Ô,×1Ñ1°!°Q¸¸1Ó=€Eð

”ð 

œVð 

¬ð 

Ô4F÷ 

ò 

ð2œð 2¤Fð 2´&÷ 2ð 2ð
 	ˆV‰€AØˆV‰€Aà˜QÒÙ! ! RÓ(ˆÙ! ! RÓ(ˆà—x‘x“z 2§8¡8£:ˆˆˆuØ˜q‘y %ˆuˆØ˜e a™iˆuˆØ˜eˆuˆà˜‘
˜u r™zÑ*ˆØ�U‘
˜u r™zÑ*ˆØ˜‘
˜r E™zÑ*ˆØ�U‘
˜r E™zÑ*ˆäó 
ð ˜˜tÐ$Ø˜˜tÐ$Ø˜˜tÐ$Ø˜˜tÐ$ð	 ô
ó 
ð 	
ð 
˜qÒ	 Ù! ! RÓ(ˆÙ! ! RÓ(ˆà—X‘X“Zˆ
Ø—X‘X“Zˆ
á˜: z°1Ó5Ð5á˜˜BÓˆÙ˜˜BÓˆà—‘“
ˆØ—‘“
ˆà�%‰ZˆØ�%‰ZˆáØ—‘˜a“ˆBØ—‘˜a“ˆBð	(¤&ð 	(¬fð 	(¼÷ 	(ð 	(ð
	4œ3ð 	4¤6÷ 	4ð 	4ô Ó:´°q³Ô:Ó:ˆÜ'¨°Ó3Ð3r+   c                 ó"   — t        | ||||¬«      S )N)rQ  rX  rY  rÊ  )r£  )râ  rQ  rX  rY  rÊ  s        r,   Úgrid_sampler_2dr¥  á  s    € ô Ø	ØØ-Ø!Ø#ôð r+   c                 ó&  ‡ ‡— t        j                  ‰ j                  «       dk(  xr ‰j                  «       dk(  ˆ ˆfd„«       t        j                  ‰ j                  d«      ‰j                  d«      k(  ˆ ˆfd„«       ‰ ‰z  j	                  d¬«      S )Nr#   r"   c                  óL   •— d‰ j                  «       › d‰j                  «       › �S )Nzmatrix @ vector expected, got r²  r|   ©rw   r£  s   €€r,   r}   zmv.<locals>.<lambda>ú  s!   ø€ Ð0°·±³°¸B¸s¿w¹w»y¸kÐJ€ r+   r   c                  óv   •— d‰ j                  d«      › d‰ j                  d«      › d‰j                  d«      › d�S )Nzsize mismatch, got input (r   r8   r"   z), vec (r/  r×  r¨  s   €€r,   r}   zmv.<locals>.<lambda>þ  s<   ø€ Ð,¨T¯Y©Y°q«\¨N¸!¸D¿I¹IÀa»L¸>ÈÐRU×RZÑRZÐ[\ÓR]ÐQ^Ð^_Ð`€ r+   r|   )rd   r~   rJ   r  rà   r¨  s   ``r,   r¥  r¥  ô  ss   ù€ ô 
‡L�LØ�‰‹
�a‰Ò*˜CŸG™G›I¨™NÜJôô 
‡L�LØ�	‰	�!‹˜Ÿ™ ›Ñ#Ü`ôð �3‰J×Ñ ÐÓ"Ð"r+   c                 óÂ   — |�-|dz
  |z  dz   }d|z
  | z  |t        j                  | «      z  z
  }nd|z
  | z  t        j                  | «      z
  }|�||z  }t        ||«      S rW   )r¼   Ú
logsigmoidrá   )rw   rì   rÇ   Ú
pos_weightrÝ   Ú
log_weightrÜ   s          r,   Ú binary_cross_entropy_with_logitsr®    sv   € ð
 ÐØ  1‘n¨Ñ.°Ñ2ˆ
Ø�F‘
˜dÑ" j´1·<±<ÀÓ3EÑ&EÑF‰à�F‘
˜dÑ"¤Q§\¡\°$Ó%7Ñ7ˆàÐØ�f‰}ˆä  iÓ0Ð0r+   Útensor1Útensor2Úis_outc                 óü  ‡	— | j                   |j                   k\  r| |fn|| f\  }}ddlmŠ	 |j                   dk\  r|j                   dk  sy|j                  r|sy| j                   dk(  ry ‰	|j	                  «       dk(  «      ry|j
                  }|j                  «       }dg}t        |dd  «      D ]  }|j                  ||d   z  «       Œ t        ˆ	fd	„t        |t        t        |«      «      |«      D «       «      S )
Nr   rÒ  r„   r#   FTr"   rN   c              3   óJ   •K  — | ]  \  }}} ‰|d k(  «      xs ||k(  –— Œ y­wrk  r*   )rÁ  r°   r±   r  rd  s       €r,   rÂ  zshould_fold.<locals>.<genexpr>-  s4   øè ø€ ò áˆD�%˜ñ 	˜T Q™YÓ'Ò8¨4°5©=Ó8ñùs   ƒ #)rp  rf  rd  r­  rñ   r  ri  rù  rb  rú   ré  rh  )
r¯  r°  r±  Út1Út2Út1_shapeÚ	t1_strideÚexpected_strider  rd  s
            @r,   Úshould_foldr¹    sõ   ø€ ð $+§<¡<°7·<±<Ò#?ˆg�wÑÀgÈwÐEW�F€BˆåJà�G‰G�qŠL˜RŸW™W¨š\ØØ	×Ò¡ØØ‡|�|�qÒØÙ˜BŸH™H›J¨!™OÔ,Øà�x‰x€HØ—	‘	“€Ið
 �c€OÜ˜ ! "˜Ó&ò ;ˆØ×Ñ˜t o°bÑ&9Ñ9Õ:ð;äó ä!$Ø”tœH _Ó5Ó6¸ó"
ôó ð r+   )Úpass_is_out)r±  c                ó:	  — | j                  «       }|j                  «       }|dk7  r|dk7  sJ ‚|dk(  r|dk(  rt        j                  | |«      S |dk(  r|dk(  rt        j                  | |«      S |dk(  rC|dk(  r>t        j                  t        j
                  t        j                  | d«      |«      d«      S |dk(  r|dk(  rt        j
                  | |«      S t        | ||«      �r>||kD  }|r|j                  n| }|s|n|dk(  r| j                  «       n| }|j                  }t        |d d «      }	t        t        j                  |	«      }
|j                  «       dk(  }|r|	j                  |j                  d   «       |j!                  |
|d   «      }|rWt        j"                  j$                  j'                  |j                  |«      |	«      }|r|j                  j)                  «       S |S t        j"                  j$                  j'                  |j                  |«      |	«      S |dk\  �r^|dk\  �rX|dkD  r| j+                  d«      nd}| j+                  d«      }| j                  d d }|dkD  r|j+                  d«      n|j+                  d«      }|dkD  r|j+                  d«      nd}g }t-        |dz
  «      D ]"  }|j                  |j+                  |«      «       Œ$ |dk(  rn|dk(  ri|d   |d   k7  r^|d   dk(  r'| j.                  rt1        | j	                  d«      |«      S |d   dk(  r'|j.                  rt1        | |j	                  d«      «      S t        t        j2                  ||«      «      }|||gz   }t5        |«      }| j7                  |«      j!                  |||«      }|dk(  }|r7||gz   }|j7                  |«      j!                  ||«      j                  d«      }n)|||gz   }|j7                  |«      j!                  |||«      }|}	|dkD  r|	j                  |«       |dkD  r|	j                  |«       |r/|j9                  |«      j	                  d«      j;                  |	«      S |j9                  |«      j;                  |	«      S t        j<                  dd„ «       y )	Nr   r"   r#   rN   rL  r„   Fc                   ó   — y)Nz/both arguments to matmul need to be at least 1Dr*   r*   r+   r,   r}   zmatmul.<locals>.<lambda>¬  r¹  r+   )rJ   rd   Údotr¥  rë  r›  rP   r¹  rQ  r®  r  rh  r   r™  rÓ   rb  r  r
  r   Ú_unsafe_viewr¢  r  rO   r­  rP  Úbroadcast_shapesr  r…  Úbmmr‹  r~   )r¯  r°  r±  Údim_tensor1Údim_tensor2rw  r´  rµ  Úsizes_1Úoutput_shapeÚfolded_dim1Út2_is_matrixÚ	t1_foldedrŸ  rù  Úm1Úbatch_tensor1Úm2rD  Úbatch_tensor2r\  Úexpand_batch_portionÚtensor1_expand_sizeÚexpand_batch_productÚtensor1_expandedÚ
vector_rhsÚtensor2_expand_sizeÚtensor2_expandeds                               r,   rP  rP  5  s[  € ð —+‘+“-€KØ—+‘+“-€KØ˜!Ò ¨qÒ 0Ð0Ð0Ø�aÒ˜K¨1Ò,Ü�y‰y˜ 'Ó*Ð*Ø	˜Ò	˜k¨QÒ.Ü�x‰x˜ Ó)Ð)Ø	˜Ò	˜k¨QÒ.Ü�}‰}œUŸX™X¤e§o¡o°g¸qÓ&AÀ7ÓKÈQÓOÐOØ	˜Ò	˜k¨QÒ.Ü�x‰x˜ Ó)Ð)Ü	�W˜g vÕ	.ð   +Ñ-ˆ	Ù$ˆW�ZŠZ¨'ˆá$‰G¸+ÈÒ:J¨7¯9©9¬;ÐPWð 	ð —(‘(ˆÜ˜G C R˜LÓ)ˆÜœXŸ\™\¨<Ó8ˆð —v‘v“x 1‘}ˆÙØ×Ñ §¡¨¡Ô,ð —J‘J˜{¨G°B©KÓ8ˆ	Ùô —Y‘Y—^‘^×0Ñ0°·±¸bÓ1AÀ<ÓPˆFÙ-6�6—9‘9×'Ñ'Ó)ÐB¸FÐBä—9‘9—>‘>×.Ñ.¨y¯|©|¸BÓ/?ÀÓNÐNà	˜Ó	˜k¨QÓ.ð !,¨a¢ˆG�L‰L˜Ô°QˆØ�\‰\˜"ÓˆØŸ™ c rÐ*ˆØ!,¨q¢ˆW�\‰\˜"Ô°g·l±lÀ2Ó6FˆØ +¨a¢ˆG�L‰L˜Ô°Qˆà#%ˆä�{ Q‘Ó'ò 	2ˆAØ× Ñ  §¡¨a£Õ1ð	2ð ˜1ÒØ˜qÒ Ø˜aÑ  M°!Ñ$4Ò4à˜QÑ 1Ò$¨×)>Ò)>Ü˜gŸo™o¨aÓ0°'Ó:Ð:Ø˜QÑ 1Ò$¨×)>Ò)>Ü˜g w§¡°qÓ'9Ó:Ð:ô  $Ü×"Ñ" =°-Ó@ó 
Ðð 3°a¸°WÑ<Ðä#Ð$8Ó9Ðð #Ÿ>™>Ð*=Ó>×FÑFØ  ! Ró
Ðð ! AÑ%ˆ
ÙØ"6¸"¸Ñ"=Ðà—‘Ð2Ó3ß‘Ð-¨rÓ2ß‘˜1“ñ ð #7¸"¸a¸Ñ"@ÐØ&Ÿ~™~Ð.AÓB×JÑJØ$ b¨!ó Ðð ,ˆØ˜Š?Ø×Ñ Ô"à˜Š?Ø×Ñ Ô"áØ#×'Ñ'Ð(8Ó9×AÑAÀ"ÓE×JÑJÈ<ÓXÐXà#×'Ñ'Ð(8Ó9×>Ñ>¸|ÓLÐLä�‰�UÑUÕVr+   rË  rÌ  c                 ó\  ‡ ‡‡‡‡‡‡‡— ‰ j                   \  }}ŠŠt        ‰|d   ||«      }t        ‰|d   ||«      }t        j                  ‰ t        j                  j
                  ¬«      \  }}t        j                  |d   ‰ j                  ¬«      j                  |¬«      }	t        j                  |d   ‰ j                  ¬«      j                  |¬«      }
t        ||
|«      }t        ||	|«      }|j                  d«      }|j                  «       }|j                  «       }||z
  j                  dd«      }||z
  j                  dd«      }|j                  t        j                  «      }|j                  t        j                  «      }|dz
  ||dz   |d	z   f}|dz
  ||dz   |d	z   fŠt        |«      Št        |«      }d
\  Š}‰ j                   t        j"                  k(  r­t%        ‰«      Št%        |«      }‰D �cg c]@  }|d‰z  z  t        j&                  |«      dz  z   j                  t        j(                  «      ‘ŒB c}Š|D �cg c]@  }|d|z  z  t        j&                  |«      dz  z   j                  t        j(                  «      ‘ŒB }}ˆˆˆ fd„Šˆ ˆˆˆˆfd„Št+        ˆfd„|D «       «      }‰ j                   t        j"                  k(  r|€J ‚t-        |||«      }nt/        d„ t1        ||«      D «       «      }t        j2                  ‰ «      }|j5                  |¬«      }|S c c}w c c}w )Nr   r"   rA  r‚  rê   rN   r�   rb   r#   r:  r›   c                 ó¤   •— t        j                  | d‰dz
  «      }t        j                  |d‰dz
  «      }t        j                  ‰d d ||g«      }|S rÇ  )rd   r‹   r   r0  )rt  rþ  Úy_idxÚx_idxr  Úin_hÚin_wrº   s        €€€r,   Úload_boundedz0upsample_bicubic2d_default.<locals>.load_boundedì  sO   ø€ Ü—‘˜B  4¨!¡8Ó,ˆÜ—‘˜B  4¨!¡8Ó,ˆÜ×Ñ˜u t¨T°5¸%Ð&@ÓAˆØˆr+   c                 óÄ   •‡ — t        ˆˆ fd„‰D «       «      }‰j                  t        j                  k(  r‰€J ‚t	        |‰‰«      S t        d„ t        |‰«      D «       «      S )Nc              3   ó0   •K  — | ]  } ‰‰|«      –— Œ y ­wr4   r*   )rÁ  Úx_ofsrÙ  rU   s     €€r,   rÂ  zCupsample_bicubic2d_default.<locals>.get_x_interp.<locals>.<genexpr>ó  s   øè ø€ ÒB°‘l 1 e×,ÑBùs   ƒc              3   ó,   K  — | ]  \  }}||z  –— Œ y ­wr4   r*   r6  s      r,   rÂ  zCupsample_bicubic2d_default.<locals>.get_x_interp.<locals>.<genexpr>÷  s   è ø€ ÒJ©¨¨R˜B �GÑJùri  )r×  râ   rd   r  rç  ræ  ré  )rU   Úsrc_xrº   Úixs_ofsrÙ  Úweights_precision_xÚ	weights_xs   ` €€€€€r,   Úget_x_interpz0upsample_bicubic2d_default.<locals>.get_x_interpò  sW   ù€ ÜÔB¸'ÔBÓBˆØ�;‰;œ%Ÿ+™+Ò%Ø&Ð2Ð2Ð2Ü% e¨YÐ8KÓLÐLÜÑJ´C¸¸yÓ4IÔJÓJÐJr+   c              3   ó.   •K  — | ]  } ‰|«      –— Œ y ­wr4   r*   )rÁ  Úy_ofsrâ  s     €r,   rÂ  z-upsample_bicubic2d_default.<locals>.<genexpr>ù  s   øè ø€ Ò;¨%‘,˜u×%Ñ;ùr”  c              3   ó,   K  — | ]  \  }}||z  –— Œ y ­wr4   r*   r6  s      r,   rÂ  z-upsample_bicubic2d_default.<locals>.<genexpr>þ  s   è ø€ ÒL©(¨2¨r˜b 2�gÑLùri  rJ  )r  rÜ  r@   rA   rC  rø  rd   r‡  rƒ  r7   rà  rP   rf  r‹   r©  r1  râ   r  rî  rÚ   Úint16r×  rç  ræ  ré  r   r¢  )rº   ræ  rÊ  rË  rÌ  rQ   Úh_scale_factorÚw_scale_factorrâ   r\  r“  Úx_floatÚy_floatr8   rU   Úyscaler  Úiys_ofsÚ	weights_yÚweights_precision_yr  Úsrc_yr  rK  râ  r×  rØ  rß  rÙ  rà  rá  s   `                       @@@@@@@r,   Úupsample_bicubic2d_defaultrð  ¯  sí  ÿ€ ð —{‘{Ñ€A€qˆ$�ô $ D¨+°a©.¸-ÈÓQ€NÜ# D¨+°a©.¸-ÈÓQ€Nä×'Ñ'Ø¤5×#HÑ#H×#UÑ#Uô�H€A€uô 	�‰�[ ‘^¨E¯L©LÔ9×<Ñ<À5Ð<ÓI€AÜ�‰�[ ‘^¨E¯L©LÔ9×<Ñ<À5Ð<ÓI€Aä# N°A°}ÓE€GÜ# N°A°}ÓE€GØ×Ñ Ó#€Gà�‰‹€AØ�‰‹€Að ˜‰k× Ñ   cÓ*€FØ˜‰k× Ñ   cÓ*€FØ	�‰ŒU�[‰[Ó€AØ	�‰ŒU�[‰[Ó€Aà�1‰u�a˜˜Q™  A¡Ð&€GØ�1‰u�a˜˜Q™  A¡Ð&€Gä0°Ó8€IÜ0°Ó8€Ià/9Ñ,ÐÐ,Ø‡{�{”e—k‘kÒ!Ü7¸	ÓBÐÜ7¸	ÓBÐð ö
àð �!Ð*Ñ*Ñ+¬e¯j©j¸«m¸cÑ.AÑA×EÑEÄeÇkÁkÕRò
ˆ	ð ö
àð �!Ð*Ñ*Ñ+¬e¯j©j¸«m¸cÑ.AÑA×EÑEÄeÇkÁkÕRð
ˆ	ð 
ö
÷Kð Kô Ó;°7Ô;Ó;€EØ‡{�{”e—k‘kÒ!Ø"Ð.Ð.Ð.Ü# E¨9Ð6IÓJ‰äÑL´c¸%ÀÓ6KÔLÓLˆô ×/Ñ/°Ó6€MØ×Ñ¨]ÐÓ;€FØ€MùòA
ùò
s   Ç9AL$ÉAL)c                 ó$  — t        j                  t        |«      t        |«      z   dk(  d„ «       |€H|€J ‚t        t        t
        t
        f   t	        d„ t        | j                  dd  |«      D «       «      «      }|r|nd\  }}t        | ||||«      S )Nr"   c                   ó   — y)Nz:Must specify exactly one of output_size and scale_factors.r*   r*   r+   r,   r}   z(upsample_bicubic2d_vec.<locals>.<lambda>  r¹  r+   c              3   óP   K  — | ]  \  }}t        t        |«      |z  «      –— Œ  y ­wr4   )r   r   )rÁ  r  rj   s      r,   rÂ  z)upsample_bicubic2d_vec.<locals>.<genexpr>  s*   è ø€ ò á�A�uô œ	 !› uÑ,×-ñùs   ‚$&r#   r:  )	rd   r~   r‰  r   r×  r~  ré  r  rð  )râ  ræ  rÊ  r  rË  rÌ  s         r,   Úupsample_bicubic2d_vecrô    sœ   € ô 
‡L�LÜˆ[ÓœD Ó/Ñ/°1Ñ4ÙLôð ÐØÐ(Ð(Ð(ÜÜ”#”s�(‰OÜñ ä # A§G¡G¨A¨B K°Ó ?ôó ó
ˆñ )6‘}¸<Ñ€GˆWÜ% a¨°mÀWÈgÓVÐVr+   c                 ó(   ‡ — ˆ fd„}t        ‰ ||«      S )Nc                 ó¤   •— t        j                  |  ||z   ‰j                  ¬«      }|dz
  |dz
  |j                  «       z
  j                  «       z
  S )Nr‚  r"   )rd   r‡  rƒ  r×   ©r°   Úmiddler±   Údim_idxrâ  s       €r,   r�  z_reflection_pad.<locals>.idx(  sF   ø€ Ü—,‘, ˜u f¨u¡n¸Q¿X¹XÔFˆØ˜‰z˜V a™Z¨'¯+©+«-Ñ7×<Ñ<Ó>Ñ>Ð>r+   ©Ú_reflection_or_replication_pad©râ  r¶  r�  s   `  r,   Ú_reflection_padrý  "  s    ø€ ô?ô *Ø	ØØóð r+   c                 ó(   ‡ — ˆ fd„}t        ‰ ||«      S )Nc                 ó„   •— t        j                  |  ||z   ‰j                  ¬«      }t        j                  |d|dz
  «      S )Nr‚  r   r"   )rd   r‡  rƒ  r‹   r÷  s       €r,   r�  z_replication_pad.<locals>.idx9  s6   ø€ Ü—,‘, ˜u f¨u¡n¸Q¿X¹XÔFˆÜ�{‰{˜7 A v°¡zÓ2Ð2r+   rú  rü  s   `  r,   Ú_replication_padr   3  s    ø€ ô3ô *Ø	ØØóð r+   Úidx_fnc                 ón  ‡— t        |«      dz  Št        j                  | j                  «       ‰dz   ‰dz   fv ˆfd„«       | j                  ‰ d  }| j                  «       ‰z
  }t        ‰«      D �cg c]  }|d‰dz
  |z
  z     ‘Œ }}t        ‰«      D �cg c]  }|d‰dz
  |z
  z  dz      ‘Œ }}| }t        ‰«      D ]E  }d g|j                  «       z  }	 |||   ||   ||   «      |	||z   <   t        j                  ||	«      }ŒG t        j                  |«      }
|j                  |
¬«      }|S c c}w c c}w )Nr#   r"   c                  ó(   •— d‰ › d‰ dz   › d‰ dz   › d�S )NÚreflection_padzd requires r"   zD or r#   zD inputr*   r|   s   €r,   r}   z0_reflection_or_replication_pad.<locals>.<lambda>L  s$   ø€ �.   [°°q±°	¸¸sÀQ¹w¸iÀwÐO€ r+   rJ  )ru  rd   r~   rJ   r  rO   r   r0  r@   r   r¢  )râ  r¶  r  Ú	inp_shapeÚnc_dimr\  Úpadding_leftÚpadding_rightr  r�  rK  rJ   s              @r,   rû  rû  D  sH  ø€ ô
 ˆg‹,˜!Ñ
€CÜ	‡L�LØ	�‰‹�C˜!‘G˜S 1™WÐ%Ð%ÛOôð —‘˜˜˜�€IØ�U‰U‹W�s‰]€Fä8=¸c»
ÖC°1�G˜A  q¡¨1¡Ñ-Ó.ÐC€LÐCÜ=BÀ3»ZÖH¸�W˜Q #¨¡'¨A¡+Ñ.°Ñ2Ó3ÐH€MÐHà€FÜ�3‹Zò 1ˆØ˜ &§*¡*£,Ñ.ˆÙ  ¨a¡°)¸A±,ÀÈaÑ@PÓQˆˆA�‰J‰Ü×#Ñ# F¨CÓ0‰ð1ô ×/Ñ/°Ó7€MØ×Ñ¨]ÐÓ;€FØ€Mùò DùÚHs   Á1D-ÂD2c           
      ó  ‡ ‡‡‡— t        |«      dz  Š|j                  ‰ d  D �cg c]  }|dz
  ‘Œ	 }}t        ‰«      D �cg c]  }|d‰dz
  |z
  z     ‘Œ }}t        ‰«      D �cg c]  }|d‰dz
  |z
  z  dz      ‘Œ }}g }t        |j                  «      D ]c  }dg|j                  z  }	d|	|<   |j	                  t        j                  |j                  |   |j                  ¬«      j                  |	«      «       Œe |d ‰  Š|‰ d  }
d„ Št        ‰«      D �cg c]  }|
|   ||   z   ‘Œ }}t        ‰«      D �cg c]  }||   |
|   z
  ‘Œ }}t        ‰«      D �cg c]  }d||   z  ||   z   |
|   z
  ‘Œ }}t        ‰«      D �cg c]  }||   d||   ||   z   ||   z   f‘Œ }}t        j                  t        j                  t        ‰«      D �cg c]  } ‰||   «      ‘Œ c}«      }t        j                  ‰ |‰|z   d«      }ˆˆˆ ˆfd„}t        j                  t        ‰«      D �cg c]  }g d	¢‘Œ c}Ž D ]¥  }|t!        dg‰z  «      k(  rŒg }g }t        ‰«      D ]t  }||   dk(  r||   }||   }n=||   dk(  r||   }|
|   d||   f}n$||   dk(  r||   }|
|   ||   ||   z
  ||   dz
  f}|j	                  «       |j	                  «       Œv  ||||«      }Œ§ |S c c}w c c}w c c}w c c}w c c}w c c}w c c}w c c}w c c}w )
Nr#   r"   rN   r‚  c                 óF   — | \  }}}t        j                  ||k\  ||k  «      S r4   rv  )Úindex_ranger\  ÚlbÚubs       r,   Úindex_range_conditionz7_reflection_pad_backward.<locals>.index_range_conditionu  s(   € Ø‰	ˆˆ2ˆrÜ× Ñ   b¡¨!¨r©'Ó2Ð2r+   r   r�   c           	      ó.  •— t        ‰	«      D ]*  }||   d   ||   d   k  }t        |t        «      sŒ%|sŒ(| c S  t        j                  t
        j                  |D �cg c]
  } ‰|«      ‘Œ c}«      }t
        j                  ‰
|‰|z   d«      }| |z   S c c}w )Nr#   r"   r�   )rO   r6   r‰  rG   r   r   rŠ  rŒ  )r£   rÁ   Úindex_rangesr\  Úupper_less_than_lowerr  rÍ  Úgrã  rJ   rh   r  s           €€€€r,   r  z,_reflection_pad_backward.<locals>.accumulate‘  s¢   ø€ ô �s“ò 	ˆAØ$0°¡O°AÑ$6¸Àa¹ÈÑ9KÑ$KÐ!ÜÐ/´Õ6Ò;PØ’ð	ô
 ×ÑÜ×ÑØCOÖP°KÑ" ;Õ/ÒPó
ˆô ×%Ñ% k°4¸¸S¹À#ÓFˆØ�a‰xˆùò Qs   ÁB
)rN   r   r"   )ru  r  rO   rp  rb  rd   r‡  rƒ  r‹  rG   r   r   rŠ  rŒ  Ú	itertoolsr   r×  )rh   r8   r¶  rA  Údhwr\  r  r  rŽ  Ú
view_shapeÚxyzÚcenterÚleft_reflectÚright_reflectÚrange_crÍ  r£   r  rQ   ÚareaÚoutsr  rÁ   r  rã  rJ   r  s   `                       @@@r,   Ú_reflection_pad_backwardr  `  s`  û€ ô
 ˆg‹,˜!Ñ
€CàŸ'™' 3 $ %˜.Ö
)�Qˆ1ˆq‹5Ð
)€CÐ
)ä8=¸c»
ÖC°1�G˜A  q¡¨1¡Ñ-Ó.ÐC€LÐCÜ=BÀ3»ZÖH¸�W˜Q #¨¡'¨A¡+Ñ.°Ñ2Ó3ÐH€MÐHà€GÜ�1—6‘6‹]ò SˆØ�S˜1Ÿ6™6‘\ˆ
Øˆ
�1‰Ø�‰”u—|‘| A§G¡G¨A¡J°q·x±xÔ@×EÑEÀjÓQÕRðSð
 	��#�ˆ€AØ
�3�$�%ˆ.€Cò3ô 16°c³
Ö;¨1ˆc�!‰f�| A‘Ó&Ð;€FÐ;Ü6;¸C³jÖA°�L ‘O c¨!¡fÓ,ÐA€LÐAÜDIÈ#ÃJÖO¸q�Q˜˜Q™‘Z ,¨q¡/Ñ1°C¸±FÓ:ÐO€MÐOô
 NSÐSVËZöØHIˆ�‰�A�s˜1‘v ¨Q¡Ñ/°-ÀÑ2BÑBÒCð€Gð ô ×ÑÜ×ÑÄeÈCÃjÖQÀÑ0°¸±Õ<ÒQó€Dô ×$Ñ$ [°$¸¸F¹
ÀCÓH€D÷ô ×!Ñ!¼¸c»
Ö#C°1¤JÒ#CÐDò 4ˆØ”5˜!˜˜s™Ó#Ò#ààˆØˆä�s“ò 	-ˆAØ�A‰w˜!Š|Ø˜Q‘i�Ø% a™j‘Ø�a‘˜B’Ø" 1‘o�Ø" 1™v q¨,°q©/Ð:‘Ø�a‘˜A’Ø# AÑ&�Ø" 1™v s¨1¡v°¸aÑ0@Ñ'@À#ÀaÁ&È1Á*ÐM�à�K‰K˜ÔØ×Ñ Õ,ð	-ñ ˜$  lÓ3‰ð-4ð0 €Kùòc *ùâCùÚHùò2 <ùÚAùÚOùòùò Rùò& $Ds5   ¥KÁ K$Á$K)ÄK.Ä8K3ÅK8ÆK=ÇL
È&Lr†   r‰   rõ   c                ój   — t        j                  | ||¬«      }t        j                  | ||¬«      }||fS )Nrõ   )rd   ÚaminrE  )rw   rJ   rö   r  rE  s        r,   Úaminmaxr   »  s2   € ô �:‰:�d ¨WÔ5€DÜ�:‰:�d ¨WÔ5€DØ�ˆ:Ðr+   rê   c                ó„   — t         j                  t        j                  t        j                  | «      d| «      |||¬«      S )Nr   rê   )r   rà   rd   re   Úisnan)rw   rJ   rö   râ   s       r,   Únansumr#  Ã  s2   € ô �8‰8”E—K‘K¤§¡¨DÓ 1°1°dÓ;¸SÀ'ÐQVˆ8ÓWÐWr+   ©râ   r  rƒ  r/  r  c          	      óN   — t         j                  j                  d| d||||¬«      S )Nr   r"   r$  ©r   r‡  Ú
start_step)r]  râ   r  rƒ  r/  s        r,   Úarange_defaultr(  É  s/   € ô �;‰;×!Ñ!Ø	ˆ3�˜ v°fÈð "ó ð r+   c          	      óN   — t         j                  j                  | |d||||¬«      S )Nr"   r$  r&  )r\  r]  râ   r  rƒ  r/  s         r,   Úarange_startr*  Ø  s/   € ô �;‰;×!Ñ!Øˆs�A˜U¨6¸&ÈZð "ó ð r+   c                  ó   — ddl m}  || i |¤ŽS )Nr   )Úout_dtype_dense)Ú!torch._higher_order_ops.out_dtyper,  )rB   rC   r,  s      r,   Úout_dtype_decompr.  ç  s   € åAá˜DÐ+ FÑ+Ð+r+   Úmarginc                 ót  ‡ ‡‡‡	‡
— t        j                  ‰ «      Š t        j                  ‰«      Š‰ j                  d   Š
‰ j                  d   Š	t        j                  |dk(  xs |dk(  d„ «       t        j                  ‰ j
                  dk(  xr ‰	dk7  ˆ fd„«       t        j                  ‰j
                  dk(  xr ‰j                  «       ‰
k(  ˆ
ˆfd„«       ‰�Qt        j                  ‰«      Št        j                  ‰j
                  dk(  xr ‰j                  «       ‰	k(  ˆ	ˆfd„«       ‰j                  d«      Št        j                  ‰ d‰¬«      }||z
  ‰ z   }|j                  d«      }|dk(  r|n||z  }‰�|‰‰   z  }t        j                  ‰	‰ j                  ¬	«      }t        j                  |‰k7  |d«      }|t        j                  j                  k(  r|j!                  «       S |t        j"                  j                  k(  r |j%                  «       |j                  d   z  S |j!                  d¬
«      S )Nr   r"   r#   c                   ó   — y)Nz only p == 1 and p == 2 supportedr*   r*   r+   r,   r}   z#multi_margin_loss.<locals>.<lambda>ý  r¹  r+   c                  ó"   •— d‰ j                   › �S ©NzMExpected non-empty vector or matrix with optional 0-dim batch size, but got: rØ  r²  s   €r,   r}   z#multi_margin_loss.<locals>.<lambda>   s   ø€ Ð_Ð`e×`kÑ`kÐ_lÐm€ r+   c                  ó(   •— d‰ › d‰j                   › �S )Nz#inconsistent target size, expected r  rØ  )Únframerì   s   €€r,   r}   z#multi_margin_loss.<locals>.<lambda>  s   ø€ Ð5°f°X¸YÀvÇ|Á|ÀnÐU€ r+   c                  ó(   •— d‰ › d‰j                   › �S )Nz#inconsistent weight size, expected r  rØ  )rJ   rÇ   s   €€r,   r}   z#multi_margin_loss.<locals>.<lambda>
  s   ø€ Ð9¸#¸¸iÈÏÉÀ~ÐV€ r+   rØ  r‚  r|   )rd   Ú
atleast_2dÚ
atleast_1dr  r~   rp  rñ   rP   r  rR  r‡  rƒ  re   r!   r(   rx   rß   r)   rà   )rº   rì   rD  r/  rÇ   rÝ   Úurf   r�  rJ   r5  s   ``  `    @@r,   Úmulti_margin_lossr:  î  sÔ  ü€ ô ×Ñ˜UÓ#€EÜ×Ñ˜fÓ%€FØ�[‰[˜‰^€FØ
�+‰+�a‰.€CÜ	‡L�L��a‘Ò!˜1 ™6Ñ#MÔNÜ	‡L�LØ�
‰
�a‰Ò$˜C 1™HÛmôô 
‡L�LØ�‰�qÑÒ5˜VŸ\™\›^¨vÑ5ÜUôð ÐÜ×!Ñ! &Ó)ˆÜ�‰Ø�K‰K˜1ÑÒ6 §¡£°3Ñ!6ÜVô	
ð ×Ñ˜aÓ €FÜ�‰�U ¨Ô0€AØ�‰
�UÑ€AØ	�‰�A‹€AØ�!ŠV‰˜˜Q™€AØÐØ��v‘ÑˆÜ
�,‰,�s 5§<¡<Ô
0€CÜ�‰�C˜6‘M 1 aÓ(€AØ”I—N‘N×(Ñ(Ò(Ø�v‰v‹xˆØ	”i—m‘m×)Ñ)Ò	)Ø�u‰u‹w˜Ÿ™ ™Ñ#Ð#à�v‰v˜!ˆv‹}Ðr+   Ú	is_targetc                 óà  ‡‡— | j                   Š|j                   Št        j                  | «      } t        j                  |«      }| j                   d   }t        j                  t	        ‰«      dk  xr |dk7  ˆfd„«       t        j                  t	        ‰«      dk  xr ‰‰k(  ˆˆfd„«       t        j
                  ||j                  ¬«      }|dk(  }t        j                  t        j                  |||«      dd¬	«      }||k  }t        j                  ||d«      }t        j                  | d|¬
«      }	t        j                  ||d«      }
t        j                  ||
j                  d¬«      k(  d¬«      }d|	j                  j                  d¬«      z
  | z   }|j                  d«      }||z  }t        j                  |d|«      }|t        j                  j                   k(  r!|j#                  d¬«      j%                  «       }n@|t        j&                  j                   k(  r|j#                  «       }n|j#                  d¬«      }|j)                  | j*                  «      j-                  ‰«      }||fS )Nr"   r#   r   c                  ó   •— d‰ › �S r3  r*   )Úorig_input_shapes   €r,   r}   z0multilabel_margin_loss_forward.<locals>.<lambda>,  s   ø€ Ð_Ð`pÐ_qÐr€ r+   c                  ó   •— d‰› d‰ › �S )Nzinconsistent target size: z for input of size: r*   )r>  Úorig_target_shapes   €€r,   r}   z0multilabel_margin_loss_forward.<locals>.<lambda>0  s   ø€ Ð,Ð->Ð,?Ð?SÐTdÐSeÐf€ r+   r‚  rN   Trõ   rØ  r|   rb   )r   rN   )r  rd   r7  r~   ru  r‡  rƒ  r  re   r  ÚanyrP   ÚTrR  r!   r(   rx   rà   rß   r)   r7   râ   r  )rº   rì   rÝ   rJ   r�  Úis_endÚend_idxÚtarget_maskÚtidx0r9  Útidx1r;  rf   r>  r@  s                @@r,   Úmultilabel_margin_loss_forwardrH    sú  ù€ ð —{‘{ÐØŸ™ÐÜ×Ñ˜UÓ#€EÜ×Ñ˜fÓ%€FØ
�+‰+�a‰.€CÜ	‡L�LÜÐÓ Ñ"Ò/ s¨a¡xÛrôô 
‡L�LÜÐÓ !Ñ#ÒMÐ(9Ð=MÑ(MÜfôô
 �,‰,�s 6§=¡=Ô
1€CØ�r‰\€FÜ�j‰jœŸ™ V¨S°#Ó6¸BÈÔM€Gà˜‘-€Kä�K‰K˜ V¨QÓ/€EÜ�‰�U ¨%Ô0€Aä�K‰K˜ V¨RÓ0€EÜ—	‘	˜# §¡°R Ó!8Ñ8¸aÔ@€Iàˆa�c‰c�m‰m ˆmÓ#Ñ# eÑ+€AØ	�‰�A‹€AØ	ˆC‰€Aä�‰�I˜q !Ó$€Aà”I—N‘N×(Ñ(Ò(Ø�E‰E�gˆEÓ×#Ñ#Ó%‰Ø	”i—m‘m×)Ñ)Ò	)Ø�E‰E‹G‰à�E‰E�gˆEÓˆà—‘˜UŸ[™[Ó)×1Ñ1Ð2CÓD€IØˆiˆ<Ðr+   )Ú	attn_maskrj   ÚqueryÚkeyÚ	dropout_pÚ	is_causalrI  c          
      óÔ  ‡ ‡‡‡— t        j                  t        j                  ‰ «      ˆ fd„«       t        j                  ‰ j                  «       dk(  xr( ‰j                  «       dk(  xr ‰j                  «       dk(  ˆˆ ˆfd„«       t        j                  ‰dk(  ˆfd„«       t        j                  ‰ j                  d   ‰j                  d   k(  xr ‰j                  d   ‰j                  d   k(  d„ «       t
        j                  j                  ‰ ‰‰|‰|d |¬«      \  }}|j                  d	d
dd«      j                  t         j                  ¬«      j                  dd	d
d«      }||fS )Nc                  ó"   •— d‰ j                   › �S )Nz-query must be FP32, FP64, BF16, FP16 but got rê   )rJ  s   €r,   r}   z<scaled_dot_product_flash_attention_for_cpu.<locals>.<lambda>i  s   ø€ Ð?ÀÇÁ¸}ÐM€ r+   r4  c                  ón   •— d‰j                  «       › d‰ j                  «       › d‰j                  «       › �S )Nz,q, k, v must be a 4 dimensional tensor, got r²  r|   )rK  rJ  rx   s   €€€r,   r}   z<scaled_dot_product_flash_attention_for_cpu.<locals>.<lambda>m  s3   ø€ Ð>¸u¿y¹y»{¸mÈ2ÈcÏgÉgËiÈ[ÐXZÐ[`×[dÑ[dÓ[fÐZgÐh€ r+   r�   c                  ó   •— d‰ › �S )Nz&dropout probability must be zero, got r*   )rL  s   €r,   r}   z<scaled_dot_product_flash_attention_for_cpu.<locals>.<lambda>p  s   ø€ Ð$JÈ9È+Ð"V€ r+   r„   c                   ó   — y)Nz&q, k, v should have the same head sizer*   r*   r+   r,   r}   z<scaled_dot_product_flash_attention_for_cpu.<locals>.<lambda>t  r¹  r+   )rI  rL  rM  Údropout_maskrj   r#   r   r"   rJ  )rd   r~   r:  rJ   r  r   Ú"_scaled_dot_product_attention_mathr{  rê  r¢  rO  )	rJ  rK  rx   rL  rM  rI  rj   rŸ  Úattns	   ````     r,   Ú*scaled_dot_product_flash_attention_for_cpurV  \  s>  û€ ô 
‡L�LÜ×Ñ Ó&ÛMôô 
‡L�LØ�	‰	‹�qÑÒ@˜SŸW™W›Y¨!™^Ò@°·	±	³¸qÑ0@Ýhôô 
‡L�LØ�SÑÓVôô 
‡L�LØ�‰�A‰˜%Ÿ+™+ a™.Ñ(ÒK¨S¯Y©Y°q©\¸U¿[¹[È¹^Ñ-KÙ8ôô
 ×:Ñ:×BÑBØØØØØØØØð Có 	�L€FˆDðD 	�‰�q˜!˜Q Ó"ß	‰¤%×"9Ñ"9ˆÓ	:ß	‰��A�q˜!Ó	ð ð
 �4ˆ<Ðr+   c                 ó.   ‡— t        | «      ˆfd„«       }|S )Nc                  ó<   •—  ‰| i |¤Ž}| d   j                  |«      S ro   )rñ  )rB   rC   rÁ   Úoutplace_ops      €r,   Ú
inplace_opz$register_inplace.<locals>.inplace_op¡  s%   ø€ á˜4Ð* 6Ñ*ˆØ�A‰w�}‰}˜SÓ!Ð!r+   r   )Úaten_oprY  rZ  s    ` r,   Úregister_inplacer\     s"   ø€ Ü˜GÓ$ó"ó %ð"ð Ðr+   c                 óB  — | j                  «       s&| j                  «       st        |«      }t        |«      }t        j                  ||«      }t        |t        j                  «      r|dk7  r||z  }|dk(  r|S t        |t        j                  «      r|dk7  r| |z  } | |z   S r	  )r:  rš  r~  rd   rÀ  r6   ÚnumbersÚNumber)rw   Úbatch1Úbatch2r^   ri   r  s         r,   Úbaddbmmrb  ©  s‹   € ð ×!Ñ!Ô#¨D¯O©OÔ,=Ü�4‹yˆÜ�E“
ˆÜ�Y‰Y�v˜vÓ&€FÜ�eœWŸ^™^Ô,°¸²
Ø˜%‘ˆØˆq‚yØˆÜ�dœGŸN™NÔ+¨t°qªyØ�d‰{ˆØ�&‰=Ðr+   c                 ó2   — t        j                  | |d¬«      S )Nrf  rn  rp  )rw   rC  s     r,   Úfloor_dividerd  º  s   € ô �9‰9�T˜5°Ô8Ð8r+   c                 ó`   — t        j                  t        j                  | j                  d«      S rW   )rG   r   r™  rÓ   r  )r®  s    r,   Ú	sym_numelrf  À  s   € ä×ÑœHŸL™L¨!¯'©'°1Ó5Ð5r+   ©râ   rÁ   c                ó�   — |€"t         j                  j                  | g |¬«      S t         j                  j                  | g ||¬«      S )Nrê   rg  )r   rà   Údim_IntListÚIntList_out)rw   râ   rÁ   s      r,   Úsum_defaultrk  Å  sC   € ð €{Ü�x‰x×#Ñ# D¨"°EÐ#Ó:Ð:ä�x‰x×#Ñ# D¨"°E¸sÐ#ÓCÐCr+   c           	      ó   — t        | t        j                  «      s| S |€@t        j                  j                  | t        t        | j                  «       «      «      «      S t        j                  j                  | |g«      S r4   )	r6   rd   r   r   rë  Údimsrh  rO   rJ   )rw   rJ   s     r,   Úsqueeze_defaultrn  Ò  s\   € ô �dœEŸL™LÔ)Øˆà
€{Ü�|‰|× Ñ  ¤t¬E°$·(±(³*Ó,=Ó'>Ó?Ð?ä�|‰|× Ñ  ¨ uÓ-Ð-r+   c                 ó2  ‡— t        ˆfd„t        t        | j                  «      «      D «       «      }|j                  t
        j                  k(  rt
        j                  nd }| j                  d|d|¬«      }| ||j                  |j                  «      z  z  |fS )Nc              3   ó.   •K  — | ]  }|‰k7  sŒ	|–— Œ y ­wr4   r*   )rÁ  r\  rJ   s     €r,   rÂ  z)_weight_norm_interface.<locals>.<genexpr>á  s   øè ø€ Ò@˜1°q¸C³x”QÑ@ùs   ƒ
Žr#   T)rö   râ   )
r×  rO   ru  r  râ   rd   r¬  rù   rò   r7   )r  r  rJ   Úkeep_dimÚ
norm_dtyperò   s     `   r,   Ú_weight_norm_interfacers  Þ  st   ø€ ô Ó@¤¤c¨!¯'©'£lÓ 3Ô@Ó@€Hà !§¡¬5¯>©>Ò 9”—’¸t€JØ�6‰6�!�X t°:ˆ6Ó>€DØ��D—G‘G˜AŸG™GÓ$Ñ$Ñ% tÐ+Ð+r+   ©Úassume_uniqueÚinvertc                óž  — t        | t        j                  «      s!t        j                  | |j                  ¬«      } t        |t        j                  «      s.|rt        j
                  | |«      S t        j                  | |«      S |j                  «       dt        | j                  «       d«      z  k  rt        | ||¬«      S t        | |||¬«      S )Nr‚  g      $@g�Âõ(\�Â?©rv  rt  )r6   rd   r   rd  rƒ  Únerø   rñ   rM  Úisin_defaultÚisin_sorting)ÚelementsÚtest_elementsru  rv  s       r,   Úisinr~  è  s¤   € ô �h¤§¡Ô-Ü—<‘< °×1EÑ1EÔFˆÜ�m¤U§\¡\Ô2ÙÜ—8‘8˜H mÓ4Ð4ä—8‘8˜H mÓ4Ð4à×ÑÓ˜t¤c¨(¯.©.Ó*:¸EÓ&BÑBÒBÜ˜H m¸FÔCÐCäØ�m°=Èô
ð 	
r+   )r-  c                óB  — |€?t        j                  | j                  «       t         j                  | j                  ¬«      }n?t        j                  | j                  «       |t         j                  | j                  ¬«      }|| k  j                  | j                  «      }|S )Nr¨  )r-  râ   rƒ  )rd   Úrandr  rç   rƒ  r7   râ   )rw   r-  Úraw_prD  s       r,   Ú	bernoullir‚  ü  sq   € ð ÐÜ—
‘
˜4Ÿ9™9›;¬e¯m©mÀDÇKÁKÔP‰ä—
‘
Ø�I‰I‹KØÜ—-‘-Ø—;‘;ô	
ˆð 
�‰×Ñ˜$Ÿ*™*Ó%€AØ€Hr+   rx  c                óH  — | j                  «       dk(  r%t        j                  | t        j                  ¬«      S  | j                  g | j
                  ¢d|j                  z  ¢­Ž }t        t        d|j                   dz
  d«      «      }||k(  j                  |¬«      }|r| S |S )Nr   rê   )r"   rN   r"   r|   )
rñ   rd   Ú
empty_liker‰  r‹  r  rp  r×  rO   rA  )r|  r}  rv  r8   rJ   r=  s         r,   rz  rz    s—   € Ø‡~�~Ó˜1ÒÜ×Ñ ´·
±
Ô;Ð;Øˆ�‰ÐD�x—~‘~ÐD¨°×0BÑ0BÑ)BÒD€AÜ
”�b˜=×-Ñ-Ð-°Ñ1°2Ó6Ó
7€CØ�Ñ×
"Ñ
" sÐ
"Ó
+€CÙˆCˆ4Ð"˜sÐ"r+   c                ó¤  — | j                  «       }|j                  «       }|r¢t        j                  ||g«      }t        j                  |d¬«      \  }}|dd  |d d k(  }	t        j                  |	ddgd«      }	|r|	j                  «       }	t        j                  |	«      }
|
j                  d||	«      }
|
d| j                  «        S t        j                  |«      \  }}t        j                  ||«      }t        j                  ||j                  «       k  |d«      }||   |k(  }|r|j                  «       n|}|j                  | j                  «      S )NT)Ústabler"   rN   r   F)r*  rd   r!  Úsortr`  Úlogical_notr„  rì  rñ   Úsearchsortedre   r  r  )r|  r}  ru  rv  Úelements_flatÚtest_elements_flatÚall_elementsÚsorted_elementsÚsorted_orderÚduplicate_maskr�  Úsorted_test_elementsrQ   r�  Útest_idxÚcmps                   r,   r{  r{    s?  € Ø×$Ñ$Ó&€MØ&×.Ñ.Ó0ÐÙô —y‘y -Ð1CÐ!DÓEˆÜ(-¯
©
°<ÈÔ(MÑ%ˆ˜à(¨¨Ð,°ÀÀÐ0DÑDˆÜ×.Ñ.¨~ÀÀ1¸vÀuÓMˆáØ+×7Ñ7Ó9ˆNä×Ñ Ó/ˆØ�‰˜q ,°Ó?ˆà�A˜Ÿ™Ó(Ð)Ð)ä"'§*¡*Ð-?Ó"@ÑÐ˜aÜ× Ñ Ð!5°}ÓEˆÜ—;‘;˜sÐ%9×%?Ñ%?Ó%AÑAÀ3ÈÓJˆØ" 8Ñ,°Ñ=ˆÙ#)ˆc�o‰oÔ¨sˆØ�{‰{˜8Ÿ>™>Ó*Ð*r+   c                 ó.   — | j                  d«      }||   S rM   )r  )rw   r’  Ú	flatteneds      r,   Útaker•  5  s   € ð —‘˜RÓ €IØ�UÑÐr+   c                 ó¦   — |€t         j                  }|t         j                  k(  rt        |«      }t        j                  | |j                  |¬«      S r!  )rd   rO  Úpreserve_formatr   r   Úresizer  )rw   rC  rK  s      r,   Ú	resize_asr™  <  sD   € àÐÜ×/Ñ/ˆØœ×-Ñ-Ò-Ü-¨eÓ4ˆÜ�;‰;�t˜UŸ[™[¸ˆ;ÓFÐFr+   )F)Únoner4   )r#   )r   NNr"   )rN   FFr¿  rî  rE  )r"   r"   F)Fr�   )r�   rb   N)r   r"   Nr:  )NNN)r   r   FT)r   r   Fr   )r�   F(…  rG   r  r^  r™  rj  Úcollections.abcr   Úenumr   r   r   r   r   Útypingr	   r
   r   r   r   rd   Útorch._meta_registrationsÚtorch._primsr6  rõ  Útorch._prims_commonÚ_prims_commonr@   Útorch.nn.functionalr‡  rë  r¼   r   r   r   Útorch._decompr   r-  r   r   r   r   r   r   Útorch._prims_common.wrappersr   r   r   r   Útorch.utilsr   r>   Útorch.utils._pytreer   r  ÚDispatchKeyr   rh  ÚstrÚ__annotations__Ú_opsr
  r   r!   rC  r‰  rI   rD  Úcompute_only_pw_cast_for_opmathÚpw_cast_for_opmathrø  Úpw_cast_for_int_to_realr~  rR   r[   r]   rg   rù   rs   r  ÚScalarry   r�   r�   r’   r–   r˜   rœ   rž   r¢   r¹   rÂ   rÄ   rÆ   rÉ   rÍ   r×  rÔ   rÛ   rá   râ   rë   rî   r(   rx   ró   Ú_safe_softmaxrÿ   r  r  r{  rS   r  r  rÁ   r  r  r)  r2  r5  r;  r>  r@  rB  rF  rZ  rb  Úslicerv  r  ra  r•  r›  rž  r¤  r¦  r³  rý  r  r#  r,  r2  r6  Úpy_implÚCompositeImplicitAutogradÚAutogradr5  rH  rL  rR  rZ  r  rh  rk  ro  rz  r|  rƒ  r†  rˆ  r‚  r”  r�  r–  rœ  r¢  r¦  rÄ  rÈ  rË  rå  rç  rý  r  r  Úunsafe_chunkr  r  r  Úno_statsr  r  r  r%  r)  r+  Ú_fused_dropoutr.  r;  rƒ  rK  r‹  ÚliftÚ
lift_freshr>  rC  rF  rI  rH  r\  ra  rd  Ú_adaptive_avg_pool2dr”  rž  r­  rº  rÁ  rÃ  r¿  rä  rê  rì  rè  rñ  r÷  Ú	Generatorrù  r  r  r  r£  r%  r+  r  Ú_upsample_nearest_exact1dr'  r-  r  r  r   r  r8  rA  rE  rI  rW  r_  rb  rf  ru  r~  Úrnn_tanhrº   r…  Úrnn_relurˆ  r�  rŽ  r‘  r�  r   r¦  r²  Úlstmrµ  r·  r¿  rÁ  ÚgrurÃ  rÅ  rÈ  rÍ  rÏ  rÐ  rØ  rÚ  rÖ  rÓ  rÜ  rà  rç  rî  rÒ  r  r	  r¾  r0  r  rŒ  r  r  r"  r$  r(  r+  r1  r8  ræ  r?  rJ  rM  rR  rT  rW  r£  r¥  r¥  r®  r¹  rP  Úupsample_bicubic2drð  rô  Úreflection_pad1dÚreflection_pad2dÚreflection_pad3drý  Úreplication_pad1dÚreplication_pad2dÚreplication_pad3dr   rû  Úreflection_pad1d_backwardÚreflection_pad2d_backwardÚreflection_pad3d_backwardr  r   r#  r‡  r3  r  r(  r\  r*  r.  r:  rH  Ú+_scaled_dot_product_flash_attention_for_cpurV  r\  rb  rd  rf  rà   rk  rë  rJ   rn  rs  r~  r‚  rz  r{  r•  r™  Úaddbmm_ÚaddbmmÚaddmm_Úaddmv_Úbaddbmm_Úfill_Úgelu_r   Ú
hardswish_Ú	hardtanh_ÚhardtanhÚhardsigmoid_Ú__iand__Ú__and__Ú__ilshift__Ú
__lshift__rÑ  rÒ  Úindex_reduce_Úindex_reduceÚ__ior__Ú__or__Ú__irshift__Ú
__rshift__Ú__ixor__Ú__xor__Úleaky_relu_Ú
leaky_reluÚlogit_ÚlogitÚrelu_r¡  Úrenorm_ÚrenormÚround_rú  Úscatter_r  Úscatter_add_Úscatter_addÚscatter_reduce_Úscatter_reduceÚsilu_r*   r+   r,   ú<module>rð     sM  ðô Û Û Û Û 
Ý $Ý ß %ß $ß 7Õ 7ã Û  Ý Ý #ß Ð ß ,Ñ ,Ý 0Ý 7÷õ ÷ó õ *Ý (ð �h‰h×"Ñ"€ð €ˆˆc‰Ó à‡z�z‡~�~×Ñ€ô�ô ð  %ò!Øð!à×9Ñ9ð!ð ó!ñH #*ØØ×8Ñ8×@Ñ@Øô#Ð ñ
 Ø˜u×DÑD×LÑLôÐ ñ "Ø˜u×DÑD×QÑQôÐ ð˜ð  cð ¨fó ñ ˜×*Ñ*Ó+Ùˆ\ÓØð2˜Fð 2 vò 2ó ó ó ,ð2ñ ˜×-Ñ-Ó.Ùˆ\ÓØð4˜vð 4¨&ò 4ó ó ó /ð4ñ ˜×.Ñ.Ó/Ùˆ\ÓØðS ð S¨6ð S¸ð SÈ5ò Só ó ó 0ðSñ
 ˜×)Ñ)Ó*Ùˆ\ÓØð
Øð
àð
ð ð
ð ð	
ð
 ð
ð ò
ó ó ó +ð
ñ2 ˜Ÿ™×)Ñ)Ð*Ó+ñ(ó ,ð(ñ ˜Ÿ™×)Ñ)Ð*Ó+ð"˜Vò "ó ,ð"ñ ˜×(Ñ(Ó)ÙƒØð@�fð @ ò @ó ó ó *ð@ñ ˜×1Ñ1Ó2Ùˆ\ÓØð fð °Fò ó ó ó 3ðñ ˜×.Ñ.Ó/Ùˆ\ÓðPØðPØ%ðPØ05ðPØ@EòPó ó 0ðPñ ˜Ÿ™Ó'ÙƒØðG�Fð G˜vò Gó ó ó (ðGñ ˜×/Ñ/Ó0ÙƒØð Fð °&ð ¸Vò ó ó ó 1ðñ ˜×/Ñ/Ó0Ùˆ\Óð: Fð :°&ð :ÀUò :ó ó 1ð:ñ ˜×0Ñ0Ó1Ùˆ\ÓØðLØðLØ%ðLØ7<ðLØNRòLó ó ó 2ðLñ ˜×*Ñ*Ó+Ùˆ\ÓØò)˜ð ) fð )¸3ò )ó ó ó ,ð)ñ< ˜×*Ñ*Ó+Øð5˜vð 5¨fò 5ó ó ,ð5ñ ˜Ÿ	™	Ó"ÙƒØð&ˆvð &˜&ò &ó ó ó #ð&ñ ˜×*Ñ*Ó+Ùˆ\ÓØð>˜vð >¨Vð >¸ò >ó ó ó ,ð>ñ
 ˜×*Ñ*Ó+ð6˜ð 6¨ð 6°6ò 6ó ,ð6ñ ˜×3Ñ3Ó4ð%Øð%à
ð%ð ð%ð ˆ6�6ˆ>Ñò	%ó 5ð%ñ ˜×6Ñ6Ó7ÙƒØð
Øð
à
ð
ð ð
ð ð	
ð
 ð
ð ð
ð ð
ð ò
ó ó ó 8ð
ñ$ ˜×1Ñ1Ó2Ùˆ\ÓØð< fð <°Fð <ÀFð <Èvò <ó ó ó 3ð<ð˜vð °#ó ð˜Ÿ™ó ñ ˜Ÿ™Ó&ÙƒØà3<·>±>×3GÑ3Gñ1Ø
ð1Ø ð1Ø-0ð1àò1ó ó ó 'ð1ñ ˜×.Ñ.Ó/Ùˆ\ÓØð1Øð1Ø &ð1Ø06ð1ØCFò1ó ó ó 0ð1ñ ˜×*Ñ*Ó+ó0ó ,ð0ñ ˜×+Ñ+Ó,ÙƒØð —^‘^×)Ñ)Øñ	1Ø
ð1àð1ð ð1ð ò	1ó ó ó -ð1ñ ˜×4Ñ4×<Ñ<Ó=ØðØðØ%ðØ/5ðØBEðØMRòó ó >ðñ ˜×4Ñ4×?Ñ?Ó@Øð
RØð
Rà
ð
Rð ð
Rð ð	
Rð
 ð
Rð ò
Ró ó Að
Rñ ˜×0Ñ0×8Ñ8Ó9Øð	Øð	Ø%ð	Ø/5ð	ØBEð	ØNSò	ó ó :ð	ñ ˜×0Ñ0×4Ñ4Ó5Øð
RØð
Rà
ð
Rð ð
Rð ð	
Rð
 ð
Rð ò
Ró ó 6ð
Rð$Øð$à
ð$ð ð$ð �VÑð	$ð
 ð$ð ð$ð ð$ð ó$ñ@ ˜×)Ñ)Ó*Ùˆ\ÓØðN˜fð N¨Fð N¸ð NÀò Nó ó ó +ðNñ$ ˜×.Ñ.Ó/Ùˆ\Óð'Øð'à
ð'ð ð'ð �VÑð	'ð
 ð'ð ð'ð ð'ð ò'ó ó 0ð'ñT ˜×0Ñ0Ó1Ùˆ\ÓðØðà
ðð ðð �VÑð	ð
 ðð ðð ðð òó ó 2ðñB ˜×1Ñ1Ó2ÙƒØð  $Ø—^‘^×)Ñ)ñ	1Ø
ð1àð1ð �VÑð1ð ð	1ð
 ò1ó ó ó 3ð1ñ& ˜×:Ñ:Ó;Ùˆ\ÓØð
  $Ø—^‘^×)Ñ)ñØðà
ðð ðð �VÑð	ð
 ðð òó ó ó <ðñ  ˜×-Ñ-Ó.ÙƒØð —^‘^×)Ñ)ñ1Øð1àð1ð ð1ð ò	1ó ó ó /ð1ñ ˜×6Ñ6Ó7Ùˆ\ÓØð
 —^‘^×)Ñ)ñ		Øð	à
ð	ð ð	ð ð		ð
 ò	ó ó ó 8ð	ñ ˜Ÿ	™	Ó"Ùƒò)�ð )˜vð )¨%ò )ó ó #ð)ñ ˜×,Ñ,Ó-Ùƒð&˜ð & Fð &¨vò &ó ó .ð&ñ ˜×+Ñ+Ó,Ùƒð	OØð	Oà�c‘ð	Oð 
ð	Oð ð		Oð
 
ð	Oð ò	Oó ó -ð	Oñ ˜Ÿ
™
×)Ñ)Ó*ð ØØØò6?à
ð6?ð 
ð6?ð �C‰=ð	6?ð
 
�#‰ð6?ð ò6?ó +ð6?ðrØðØðØ (¨¡ðØ4<¸S±Mðà
ˆ3�ˆ8�_óñ. ˜×*Ò*Ó+Ùƒð ØØØò$UØð$Uà	ð$Uð 
ð$Uð �C‰=ð	$Uð
 
�#‰ð$Uð ò$Uó ó ,ð$UñN ˜×,Ò,Ó-ÙƒðE ð E°d¸3±ið EÀcð EÐRUò Eó ó .ðEñ
 ˜×.Ò.Ó/ÙƒðOØðOØ&*¨3¡iðOØ9<ðOØDGðOØORòOó ó 0ðOðØðØ%+ðØ:?¿+¹+óñ ˜×3Ò3Ó4Ùˆ\ÓØ ðXØðXØ!'ðXØ.1ðXØ@EÇÁòXó !ó ó 5ðXñ ˜×7Ò7Ó8ÙƒØ ðKØðKØ!'ðKØ.1ðKØ@EÇÁòKó !ó ó 9ðKò*ñ& ˜ŸšÓ$ÙƒðMØðMà�c‘ðMð �3‰iðMð �#‰Yð	Mð
 �‰IðMð òMó ó %ðMñ` ˜ŸšÓ$ÙƒØð]Øð]à�c‘ð]ð �c‘ð]ð �3‰ið	]ð
 �#‰Yð]ð �‰Ið]ð ò]ó ó ó %ð]ñ@ ˜×4Ò4Ó5Ùƒð
¨ð 
°vð 
Àeò 
ó ó 6ð
ñ ˜×,Ò,Ó-ÙƒðYØ
ðYØ" 3™iðYØ47ðYØ?BðYØJMðYàòYó ó .ðYñ" ˜×+Ò+×3Ñ3Ó4Øà>Bò
Øð
Ø%ð
Ø,4°U©Oð
àò
ó ó 5ð
ñ& ˜ŸšÓ%Ø‡‚×Ñ×Ò˜k×CÒCÓDØ‡‚×Ñ×Ò˜k×2Ò2Ó3ð�6ð ˜eð ¨H°T©Nò ó 4ó Eó &ðñ ˜×+Ò+Ó,ÙˆV�VÓðA˜&ð A Uð A°8¸D±>ò Aó ó -ðAñ ˜ŸšÓ&Ùƒð�ð ˜Sð °ò ó ó 'ðñ* ˜×)Ò)Ó*Ù˜Ôð�Fð  ð °Tò ó ó +ðñ, ˜ŸšÓ'Ùƒð Ø$ØòØðàðð ðð ð	ð
 ðð òó ó (ðñ& ˜×5Ò5Ó6ÙƒðØðàðð ðð ð	ð
 òó ó 7ðð:ˆD�‰Ió ðØ�&‰\ðà	ðð ðð 
ˆ&�\ó	ð*˜T &™\ó ð
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ð"Ø�&‰\ð"à	ð"ð ó"ñJ ˜Ÿš×0Ñ0°$·/²/×2EÑ2EÐFÓGð
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�&Ñ	ð	ð
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ðà�c‘ðð 
ðð 
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ˆ6�3ˆ;ÑòBó >ðBñ ˜Ÿ
š
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ð/à &ð/ð 
ð/ð ˆ6�3ˆ;Ñò	/óð/ñ@ ˜Ÿ
š
Ó#Ù˜ÔØò�ð ˜fð ¨Fð ¸#ð È#ò ó ó ó $ðñ" ˜×.Ò.Ó/ÙƒØð
 ØØòØ
ðà
ðð ðð ð	ð
 ðð òó ó ó 0ðñ" ˜Ÿ
š
Ó#ÙƒØò	�ð 	˜fð 	¨6ð 	¸ð 	Èò 	ó ó ó $ð	ñ ˜×7Ò7×?Ñ?Ó@ØðS&ØðS&àðS&ð ðS&ð ð	S&ð
 �FÑðS&ð ðS&ð ðS&ð 
ðS&ð ðS&ð �d‘ðS&ð ˆ8�FÑ˜X fÑ-¨x¸Ñ/?Ð?Ñ@òS&ó ó AðS&ñn ˜×7Ò7×;Ñ;Ó<ðØðàðð ðð ð	ð
 �FÑðð ðð ðð 
ðð ðð �d‘ðð �,‰,ðð �,‰,ðð �,‰,ðð ˆ8�FÑ˜X fÑ-¨x¸Ñ/?Ð?Ñ@òó =ðð8�8˜FÑ#ð ¨x¸Ñ/?ó ñ ˜×7Ò7×?Ñ?Ó@ðNØðNàðNð ˜3‘iðNð ð	Nð
 ðNð �VÑðNð �6Ñ
ðNð �d‘ðNð ˆ8�FÑ˜X fÑ-¨x¸Ñ/?Ð?Ñ@òNó AðNñd ˜×7Ò7×;Ñ;Ó<ðØðàðð ˜3‘iðð ð	ð
 ðð �VÑðð �6Ñ
ðð �d‘ðð �,‰,ðð �,‰,ðð �,‰,ðð ˆ8�FÑ˜X fÑ-¨x¸Ñ/?Ð?Ñ@òó =ðð4OØðOà�VÑðOð �6Ñ
ðOð ˜6Ñ"ð	Oð
 ˜&Ñ!ðOð ðOð ðOð 
ðOð ðOð ˆ6�6˜6 8¨FÑ#3°X¸fÑ5EÐEÑFóOñd ˜×.Ò.Ó/ÙˆU�K Ó/ð(Øð(à�VÑð(ð �6Ñ
ð(ð ˜6Ñ"ð	(ð
 ˜&Ñ!ð(ð ð(ð ð(ð 
ð(ð ˆ6�6˜6Ð!Ñ"ò(ó 0ó 0ð(ð4 ×Ò×Ñ×'Ò'¨×(<Ò(<Ó=Ø×Ò×Ñ×'Ò'¨×(MÒ(MÓNð 
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ð �6Ñ
ð 
ð ˜6Ñ"ð	 
ð
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ð ð 
ð 
ð 
ð ˆ6�6˜6Ð!Ñ"ò 
ó Oó >ð 
ðF ×Ò×Ñ×"Ò" ;×#HÒ#HÓIòG°4¸±<ò Gó JðGñ ˜×AÒA×IÑIÓJðØðà�VÑðð �6Ñ
ðð ð	ð
 ðð ðð 
ðð ˆ6�6˜6Ð!Ñ"òó Kðñ* ˜×5Ò5×=Ñ=Ó>ð(Øð(à�VÑð(ð �6Ñ
ð(ð ð	(ð
 ð(ð ð(ð ð(ð 
ð(ð ˆ6�6˜6Ð!Ñ"ò(ó ?ð(ñ  ˜×5Ò5×>Ò>Ó?ð(Øð(à�VÑð(ð �6Ñ
ð(ð ð	(ð
 ð(ð 
ð(ð ˆ6�6˜6Ð!Ñ"ò(ó @ð(ñ ˜×@Ò@×HÑHÓIðKØðKà�VÑðKð �6Ñ
ðKð ð	Kð
 ðKð ðKð ðKð 
ðKð ˆ6�6˜6 6¨6Ð1Ñ2òKó JðKð0Øðà�VÑðð �6Ñ
ðð ð	ð
 ðð 
ðð ðð óñ: ˜×4Ò4×<Ñ<Ó=ð1Øð1à�VÑð1ð �6Ñ
ð1ð ð	1ð
 ð1ð ð1ð 
ð1ð ˆ6�6˜6 6Ð)Ñ*ò1ó >ð1ñ4 ˜×?Ò?×GÑGÓHðCØðCà�VÑðCð �6Ñ
ðCð ð	Cð
 ðCð ðCð 
ðCð ˆ6�6˜6 6¨6°6Ð9Ñ:òCó IðCñ4 ˜×2Ò2×:Ñ:Ó;ð1Øð1à�VÑð1ð �6Ñ
ð1ð ð	1ð
 ð1ð ð1ð 
ð1ð ˆ6�6˜6 6Ð)Ñ*ò1ó <ð1ñ4 ˜×+Ò+Ó,ÙˆV�VÓØóó ó ó -ðñ ˜ŸšÓ&Ùƒð $(ØØ%)ØØØ37ò&ØˆV�ZÐÑ ð&ð �E—K‘KÑ ð&ð
 �U—\’\Ñ"ð&ð ð&ð ð&ð ˜E×/Ò/Ñ0ò&ó ó 'ð&ñX ˜Ÿš d§i¢i°·²ÐAÓBÙƒñó ó Cðð ×Ò×Ñ×&Ò& {×';Ò';Ó<Ù˜×-Ò-Ó.ÙˆV�V˜V VÓ,ðØðàðð �6Ñ
ðð ˜6Ñ"ð	ð
 ˜&Ñ!ðð ðð !&ðð òó -ó /ó =ðò>ñ ˜×0Ò0×8Ñ8Ó9ðØðàðð �VÑðð ˜6Ñ"ð	ð
 ˜&Ñ!ðð ˜Ñðð ˜&Ñ!ðð ðð 
ðð �d‘ðð ðð ˆ6�8˜FÑ# X¨fÑ%5Ð5Ñ6òó :ðñ6 ˜×7Ò7×?Ñ?Ó@ðdØðdàðdð �VÑðdð ˜6Ñ"ð	dð
 ˜&Ñ!ðdð ˜Ñðdð ˜&Ñ!ðdð ðdð 
ðdð �d‘ðdð ˆ6�8˜FÑ# X¨fÑ%5Ð5Ñ6òdó AðdñP ˜×7Ò7×;Ñ;Ó<ð"Øð"àð"ð �VÑð"ð ˜6Ñ"ð	"ð
 ˜&Ñ!ð"ð ˜Ñð"ð ˜&Ñ!ð"ð ð"ð 
ð"ð �d‘ð"ð �,‰,ð"ð �,‰,ð"ð �,‰,ð"ð ˆ6�8˜FÑ# X¨fÑ%5Ð5Ñ6ò"ó =ð"ñJ ˜×7Ò7Ó8ÙˆV�V˜VÓ$ðØðàðð ðð ˜6Ñ"ð	ð
 ˜&Ñ!ðð ˜Ñðð �vÑðð òó %ó 9ðñ0 ˜×6Ò6Ó7ÙˆV�V˜VÓ$ðØðàðð ðð ˜6Ñ"ð	ð
 ˜&Ñ!ðð ˜Ñðð �vÑðð ðð òó %ó 8ðñ2 ˜×1Ò1Ó2ÙƒØðc'˜vð c'°E¸#¸s¸(±Oò c'ó ó ó 3ðc'ðLØ
ðØ)ðØ8<¸S¹	ðØHKóñ0 ˜×)Ò)Ó*Ùƒð*8Ø
ð*8àð*8ð �c‘ò*8ó ó +ð*8ñZ ˜×)Ò)Ó*Ùƒð49Øð49àð49ð �c‘ð49ð �‰Ið	49ð
 �#‰Yò49ó ó +ð49ñn ˜ŸšÓ(ð òHØðHà	ðHð ðHð ð	Hð òHó )ðHñ ˜ŸšÓ'Ùƒð òIØðIà	ðIð ðIð ð	Ið òIó ó (ðIð$ ò%@Øð%@à	ð%@ð ð%@ð ð	%@ð ð%@ð ó%@ñP ˜×)Ò)×1Ñ1Ó2Ø×Ò×Ñ×"Ò" ;×#HÒ#HÓIóó Jó 3ðñ2 ˜×(Ò(Ó)ð<�:ð < Cð <°
ð <ÀJò <ó *ð<ñ ˜ŸšÓ(Ùƒð=�*ð = 3ð =¨zð =À:ò =ó ó )ð=ð@Øð@Øð@Ø$.ð@Ø8Bð@ØPTó@ñ, ˜×0Ò0Ó1ÙˆX�xÓ Øð(˜fð (¨¨v°v¨~Ñ)>ó (ó ó !ó 2ð(ñ ˜ŸšÓ%Ùƒð $'Ø$'Ø+/ò	Øñà	ˆt�S˜%ÐÑ	 ñð ��c˜5Ð Ñ
!ñð ˜ŸšÑ(ó	ó ó &ðñ  ˜ŸšÓ&ô;ó 'ð;ó
ó8ñ ˜×/Ò/×3Ò3Ó4Ù˜×/Ò/×3Ò3Ó4Ù˜×/Ò/×3Ò3Ó4Ø×Ò×Ò×$Ò$ [×%JÒ%JÓKØ×Ò×Ò×$Ò$ [×%9Ò%9Ó:Ø×Ò×Ò×$Ò$ [×%JÒ%JÓKØ×Ò×Ò×$Ò$ [×%9Ò%9Ó:Ø×Ò×Ò×$Ò$ [×%JÒ%JÓKØ×Ò×Ò×$Ò$ [×%9Ò%9Ó:ð	3Øð	3à˜$˜s™)Ñ$ñ	3ð ˜D ™KÑ(ð	3ð ó		3ó ;ó Ló ;ó Ló ;ó Ló 5ó 5ó 5ð	3ñ ˜×6Ò6×:Ò:Ó;Ù˜×6Ò6×:Ò:Ó;Ù˜×6Ò6×:Ò:Ó;Ø×Ò×#Ò#×+Ò+¨K×,QÒ,QÓRØ×Ò×#Ò#×+Ò+¨K×,@Ò,@ÓAØ×Ò×#Ò#×+Ò+¨K×,QÒ,QÓRØ×Ò×#Ò#×+Ò+¨K×,@Ò,@ÓAØ×Ò×#Ò#×+Ò+¨K×,QÒ,QÓRØ×Ò×#Ò#×+Ò+¨K×,@Ò,@ÓAð	?Øð	?à˜$˜s™)Ñ$ñ	?ð ˜D ™KÑ(ð	?ð ó		?ó Bó Só Bó Só Bó Só <ó <ó <ð	?õñ@ ˜×0Ò0×8Ñ8¸$×:QÒ:Q×:UÑ:UÐVÓWØ×Ò× Ñ ×(Ò(¨×)NÒ)NÓOØ×Ò× Ñ ×(Ò(¨×)=Ò)=Ó>Ù D°dÕ;ð #ò;Øð;à�c‘ñ;ð �U‰Oð;ð ó	;ó <ó ?ó Pó Xð;ñ Ø	×#Ò#×+Ñ+¨T×-KÒ-K×-OÑ-OÐPóð ×Ò×'Ñ'×/Ò/°×0UÒ0UÓVØ×Ò×'Ñ'×/Ò/°×0DÒ0DÓEÙ D°dÕ;ð #òGØðGà�c‘ñGð �U‰OðGð ó	Gó <ó Fó WóðGñ ˜×0Ò0×8Ñ8¸$×:QÒ:Q×:UÑ:UÐVÓWØ×Ò× Ñ ×(Ò(¨×)NÒ)NÓOØ×Ò× Ñ ×(Ò(¨×)=Ò)=Ó>Ù D°dÕ;ð !%Ø $ò	GØðGà�c‘ñGð �u‰oñGð �u‰oð	Gð
 óGó <ó ?ó Pó XðGñ Ø	×#Ò#×+Ñ+¨T×-KÒ-K×-OÑ-OÐPóð ×Ò×'Ñ'×/Ò/°×0UÒ0UÓVØ×Ò×'Ñ'×/Ò/°×0DÒ0DÓEÙ D°dÕ;ð !%Ø $ò	SØðSà�c‘ñSð �u‰oñSð �u‰oð	Sð
 óSó <ó Fó WóðSñ ˜×0Ò0×8Ñ8¸$×:QÒ:Q×:UÑ:UÐVÓWØ×Ò× Ñ ×(Ò(¨×)NÒ)NÓOØ×Ò× Ñ ×(Ò(¨×)=Ò)=Ó>Ù D°dÕ;ð !%Ø $Ø $òQØðQà�c‘ñQð �u‰oñQð �u‰oñ	Qð
 �u‰oðQð óQó <ó ?ó Pó XðQñ Ø	×#Ò#×+Ñ+¨T×-KÒ-K×-OÑ-OÐPóð ×Ò×'Ñ'×/Ò/°×0UÒ0UÓVØ×Ò×'Ñ'×/Ò/°×0DÒ0DÓEÙ D°dÕ;ð !%Ø $Ø $ò	Øð	à�c‘ñ	ð �u‰oñ	ð �u‰oñ		ð
 �u‰oð	ð ó	ó <ó Fó Wóð	ð ð
 ò	Øðà�c‘ñð �˜%‘Ñ!ñð ð	ð
 óó ðó4ó >ó/óð FKõ+ó\óõ&õ,/-ód& ñR ˜Ÿš×+Ò+Ó,Ø‡‚×Ò×Ò˜[×BÒBÓCØ‡‚×Ò×Ò˜[×1Ò1Ó2ò.ó 3ó Dó -ð.ñ8 ˜Ÿš×+Ò+Ó,Ø‡‚×Ò×Ò˜[×BÒBÓCØ‡‚×Ò×Ò˜[×1Ò1Ó2ò.ó 3ó Dó -ð.ñ8 ˜Ÿš×*Ò*Ó+Ø‡‚×Ò×Ò˜K×AÒAÓBØ‡‚×Ò×Ò˜K×0Ò0Ó1ò.ó 2ó Có ,ð.ñ@ ˜Ÿš×*Ò*Ó+Ø‡‚×Ò×Ò˜K×AÒAÓBØ‡‚×Ò×Ò˜K×0Ò0Ó1ò.ó 2ó Có ,ð.ó@õ/õ6=ó@/ñd ˜Ÿ	š	ŸšÓ(Ø‡‚‡‚×Ò˜×>Ò>Ó?Ø‡‚‡‚×Ò˜×-Ò-Ó.òSó /ó @ó )ðSñ> ˜Ÿ	š	ŸšÓ'Ø‡‚‡‚×Ò˜×=Ò=Ó>Ø‡‚‡‚×Ò˜×,Ò,Ó-òSó .ó ?ó (ðSô<;ô;ñ ˜ŸšŸšÓ&Ø‡‚‡‚×Ò�{×<Ò<Ó=Ø‡‚‡‚×Ò�{×+Ò+Ó,ò.ó -ó >ó 'ñ.ñ6 ˜ŸšŸšÓ'Ø‡‚‡‚×Ò˜×=Ò=Ó>Ø‡‚‡‚×Ò˜×,Ò,Ó-ò.ó .ó ?ó (ñ.ñ6 ˜×4Ò4×8Ò8Ó9Ø×Ò×!Ò!×)Ò)¨+×*OÒ*OÓPØ×Ò×!Ò!×)Ò)¨+×*>Ò*>Ó?òó @ó Qó :ññ ˜×3Ò3×7Ò7Ó8Ø×Ò× Ò ×(Ò(¨×)NÒ)NÓOØ×Ò× Ò ×(Ò(¨×)=Ò)=Ó>òó ?ó Pó 9ññ ˜×0Ò0×4Ò4Ó5Ù˜×1Ò1×5Ò5Ó6Ø×Ò×Ò×#Ò# K×$IÒ$IÓJØ×Ò×Ò×#Ò# K×$8Ò$8Ó9Ø×Ò×Ò×%Ò% k×&KÒ&KÓLØ×Ò×Ò×%Ò% k×&:Ò&:Ó;Ø×Ò×Ò×&Ò& {×'LÒ'LÓMØ×Ò×Ò×&Ò& {×';Ò';Ó<òAó =ó Nó <ó Mó :ó Kó 7ó 6ñAñ ˜×/Ò/×7Ñ7¸×9OÒ9O×9SÑ9SÐTÓUÙƒð
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öVô/ð7Ø	�&Ñ	ñ7Ø$,¨VÑ$4ñ7ØIOð7àõ7ñ-Ð'9ð -¸fõ -ð ðEØðEà�c‘ñEð ñEð �˜%‘Ñ!ð	Eð
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