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We ll talk about the motivations for virtual memory We ll talk about how it is implemented Lastly, we ll talk about how to make virtual memory fast: Translation Lookaside Buffers (TLBs).&**,  A Real Problem>What if you wanted to run a program that needs more memory than you have? You could store the whole program on disk, and use memory as a cache for the data on disk. This is one feature of virtual memory. Before virtual memory, programmers had to manually manage loading  overlays (chunks of instructions & data) off disk before they were used. This is an incredibly tedious, not to mention error-prone, process. 4JVJUMore Real ProblemsHRunning multiple programs at the same time brings up more problems. Even if each program fits in memory, running 10 programs might not. Multiple programs may want to store something at the same address. How do we protect one program s data from being read or written by another program?,EEMore Real ProblemsRunning multiple programs at the same time brings up more problems. Even if each program fits in memory, running 10 programs might not. This is really the same problem as on the previous slide. Multiple programs may want to store something at the same address. I.e., what if both Program A and B want to use address 0x10000000 as the base of their stack? It is impractical (if not impossible) to compile every pair of programs that could get executed together to use distinct sets of addresses. How do we protect one program s data from being read or written by another program?ED:  D  TED:D  T Indirection Any problem in CS can be solved by adding a level of indirection Without Indirection With Indirection rC(C Indirection Any problem in CS can be solved by adding a level of indirection Without Indirection With Indirection rC(CVirtual MemoryvWe translate  virtual addresses used by the program to  physical addresses that represent places in the machine s  physical memory. The word  translate denotes a level of indirection &55 Virtual Memory Because different processes will have different mappings from virtual to physical addresses, two programs can freely use the same virtual address. By allocating distinct regions of physical memory to A and B, they are prevented from reading/writing each others data.  Caching revisitedOnce the translation infrastructure is in place, the problem boils down to caching. We want the size of disk, but the performance of memory. The design of virtual memory systems is really motivated by the high cost of accessing disk. While memory latency is ~100 times that of cache, disk latency is ~100,000 times that of memory. i.e., the miss penalty is a real whopper. Hence, we try to minimize the miss rate: VM  pages are much larger than cache blocks. Why? A fully associative policy is used. With approximate LRU Should a write-through or write-back policy be used?U9^a*)Z5U9^&*  )Z5 Finding the right pageYIf it is fully associative, how do we find the right page without scanning all of memory?&Z: Finding the right pageIf it is fully associative, how to we find the right page without scanning all of memory? Use an index, just like you would for a book. Our index happens to be called the page table: Each process has a separate page table A  page table register points to the current process s page table The page table is indexed with the virtual page number (VPN) The VPN is all of the bits that aren t part of the page offset. Each entry contains a valid bit, and a physical page number (PPN) The PPN is concatenated with the page offset to get the physical address No tag is needed because the index is the full VPN. 4Z//'C=@BI5:## 'C#      @ 'I5 Page Table picture How big is the page table?From the previous slide: Virtual page number is 20 bits. Physical page number is 18 bits + valid bit -> round up to 32 bits. How about for a 64b architecture?6e)e)Dealing with large page tables,Multi-level page tables  Any problem in CS can be solved by adding a level of indirection or two& Since most processes don t use the whole address space, you don t allocate the tables that aren t needed Also, the 2nd and 3rd level page tables can be  paged to disk.lZCZZkZ@ZCk  @ Waitaminute! We ve just replaced every memory access MEM[addr] with: MEM[MEM[MEM[MEM[PTBR + VPN1] + VPN2] + VPN3] + offset] i.e., 4 memory accesses And we haven t talked about the bad case yet (i.e., page faults)&  Any problem in CS can be solved by adding a level of indirection except too many levels of indirection& How do we deal with too many levels of indirection?287EC'483333   (        C'334(; Caching translationsUVirtual to Physical translations are cached in a Translation Lookaside Buffer (TLB). BU133= 'Path of memory access(0Virtually indexed physically tagged cache (VIPT)11. In general ),Synonym problem with virtually indexed cacheSynonym  two different VA s are mapped to the same PA, but have two copies of the data in different locations.*p`g*Understanding synonyms<If two VPNs do not differ in a then there is no synonym problem, since they will be indexed to the same set of a VIPT cache How to remove it? Max number of sets = page size / cache line size Ex: 4kB page, 32B line, max set = 128 Make physical index match virtual index  page coloring & b1&:p1&:!What about a TLB miss?lIf we miss in the TLB, we need to  walk the page table In MIPS, an exception is raised and software fills the TLB In x86, a  hardware page table walker fills the TLB What if the page is not in memory? This situation is called a page fault. The operating system will have to request the page from disk. It will need to select a page to replace. The O/S tries to approximate LRU The replaced page will need to be written back if dirty. 8r#!98r# j!9  + Demand PagingMissing pages are loaded from disk into memory at time of reference (on demand). The alternative would be to prefetch into memory in anticipation of future accesses (need good predictions). Page fault occurs because valid bit in page table entry (PTE) is off. The OS: allocates an empty frame* initiates the read of the page from disk updates the PTE when I/O is complete restarts faulting processDZ%Z2 G!  in ,Prefetching Issues ePro: overlap of disk I/O and computation on resident pages. Hides latency of transfer. Need information to guide predictions Con: bad predictions Bad choice: a page that will never be referenced. Bad timing: a page that is brought in too soon Impacts: taking up a frame that would otherwise be free. (worse) replacing a useful page. extra I/O trafficX&b cX&b c  &3More on TLB misses: Possible Combinations of Events44"Memory ProtectionIn order to prevent one process from reading/writing another process s memory, we must ensure that a process cannot read/write each other s pages Add PID tag into the page table Only the OS can change the virtual-to-physical translations. Typically, this is done by: Having two processor modes: user & kernel. Only the O/S runs in kernel mode Only allowing kernel mode to write to the virtual memory state, e.g., The page table The page table base pointer The TLB [+!F3 [+!?      3#Sharing MemoryPaged virtual memory enables sharing at the granularity of a page, by allowing two page tables to point to the same physical addresses. For example, if you run two copies of a program, the O/S will share the code pages between the programs.$SummaryVirtual memory is pure manna from heaven: It means that we don t have to manage our own memory. It allows different programs to use the same memory. It provides protect between different processes. It allows controlled sharing between processes (albeit somewhat inflexibly). The key technique is indirection: Yet another classic CS trick you ve seen in this class. Many problems can be solved with indirection. Caching made a few cameo appearances, too: Virtual memory enables using physical memory as a cache for disk. We used caching (in the form of the Translation Lookaside Buffer) to make Virtual Memory s indirection fast. *"f+33 f+  0 Reducing Cache Miss Penalty 3#>1. Reduce Miss Penalty: Early Restart and Critical Word First??Don t wait for full block to be loaded before restarting CPU Early restart As soon as the requested word of the block arrives, send it to the CPU and let the CPU continue execution Critical Word First Request the missed word first from memory and send it to the CPU as soon as it arrives; let the CPU continue execution while filling the rest of the words in the block. Also called wrapped fetch and requested word first Generally useful only in large blocks, ~=i(= k (4$F2. Reduce Miss Penalty: Non-blocking Caches to reduce stalls on missesGGNon-blocking cache or lockup-free cache allow data cache to continue to supply cache hits during a miss requires F/E bits on registers or out-of-order execution requires multi-bank memories  hit under miss reduces the effective miss penalty by working during miss vs. ignoring CPU requests  hit under multiple miss or  miss under miss may further lower the effective miss penalty by overlapping multiple misses Significantly increases the complexity of the cache controller as there can be multiple outstanding memory accesses Requires multiple memory banks (otherwise cannot support) Penium Pro allows 4 outstanding memory missesi V@VXO}JO(8&:3. Reducing Miss Penalty: Read Priority over Write on Miss2":3. Reducing Miss Penalty: Read Priority over Write on Miss;;0Write-through with write buffers offer RAW conflicts with main memory reads on cache misses If simply wait for write buffer to empty, might increase read miss penalty (old MIPS 1000 by 50% ) Check write buffer contents before read; if no conflicts, let the memory access continue Write-back also want buffer to hold misplaced blocks Read miss replacing dirty block Normal: Write dirty block to memory, and then do the read Instead copy the dirty block to a write buffer, then do the read, and then do the write CPU stall less since restarts as soon as do readL\5\5/8/71   0` ` ̙33` 333MMM` ff3333f` f` f` 3>?" dd@?qdd@   " @ `"  n?" dd@   @@``PR    @ ` ` p>>   #@(      `nana1 ?"`  T Click to edit Master title style! !T"   `xnanaGD1 ?"00  RClick to edit Master text styles Second level Third level Fourth level Fifth level!     SZB  c $)?"   `$nana1?"I b*0    `($nana1?"m d 1998 Morgan Kaufmann Publishers(!0  r  S <Aucr-smalltitle"`4%   `< $Ԕ?"f COMPUTER SCIENCE & ENGINEERINGL 08 2(  ̙B  s *޽h ? U>=UU(80___PPT10.U0  CS3339 0 zr  (    0,i P   i P*    0طi    i R*  d  c $ ?  i  0̤i  0 i RClick to edit Master text styles Second level Third level Fourth level Fifth level!     S  6 i _P  i P*    6\i _  i R*  H  0޽h ? 3380___PPT10.EzQ: 0  :(  r  S (> ( r  S У( `   (   H(1?mqA :Adapted from Zilles s lecture0   H  0޽h ? 3380___PPT10.UĂ  00+April 28, 2003 P<(  P~ P s *-`  - ~ P s *(00 - H P 0޽h ? ̙3333y___PPT10Y+D=' 2= @B +e  0\+April 28, 2003 $2003 Craig Zilles (  T(  T~ T s *|(`  (  T s *l(00 ( $\` T c $A ??  T # @>@A BdPC DE@F1jJ?@ @ @ Z@ h@ F@ @ /B C D F H I K N cP @     "    ? $ǽ? 4|F̛] h FXTO"!d>DHDE5F5W  e2B3 B-AUA '{9L^xw-^E  PQP>  H T 0޽h ? ̙33y___PPT10Y+D=' 2= @B +p  0L0T+April 28, 2003 Virtual Memory 0X<(  X~ X s *"-`  - ~ X s *#-00 - H X 0޽h ? ̙3333  0T+April 28, 2003 Virtual Memory @\\(  \~ \ s *P,-`  -  \ s *B- 0 - ,1ArH \ 0޽h ? ̙3333y___PPT10Y+D=' 2= @B +  0L0T+April 28, 2003 Virtual Memory P`\(  `~ ` s *N-`  -  ` s *(L-00 - ,1ArH ` 0޽h ? ̙3333   0T+April 28, 2003 Virtual Memory   `d (  d~ d s *k-`  -  d s *-00 - ,9"cj d B o?jB d BDo?t d Zp-@E@E ?H$ \Name0 2   d Z-@E@E ?y [Thing0   j d B o?  pB  d HDo?@  @   d Z-@E@E ?l I  \Name0 2    d Zd-@E@E ?   [Thing0   jB  d BDo?@ t @ d  d < o? j d B o?> <  d Z-@E@E ?>   [Thing0   H d 0޽h ? ̙3333y___PPT10Y+D=' 2= @B +   0L0T+April 28, 2003 Virtual Memory   ph (  h~ h s *-`  -  h s *-00 - ,9"cj h B o?jB h BDo?t h Z#@E@E ?H$ \Name0 2   h ZH$@E@E ?y [Thing0   j h B o?  pB  h HDo?@  @   h Z#@E@E ?l I  \Name0 2    h Z#@E@E ?   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C0 C  H l 0޽h ? ̙3333y___PPT10Y+D=' 2= @B +t&  0T+April 28, 2003 Virtual Memory ?%7%:@p$(  p~ p s *#`  # ~ p s *#00 # p t>  >p #""q.  p N#@E@E ?"^ t>  Z AA p N#@E@E ?"~ t^  Z AA p N#@E@E ?"t~  Z AA p N#@E@E ?"t Z AAB  p Bo ?"tzB  p <1 ?"tzB  p <1 ?"~ t~ zB  p <1 ?"^ t^ B  p Bo ?"> t> B p Bo ?"> B p Bo ?"tt>  p  `#@E@E ?n  eVirtual Address0   p  f i  ?p #"" c Y  p N#@E@E ?" f i  Z AA p N#@E@E ?" f  Z AA p N$@E@E ?" f  Z AA p N $@E@E ?" f  Z AAB p Bo ?" f zB p <1 ?" f zB p <1 ?" f zB p <1 ?" f B p Bo ?" i f i B p Bo ?"  i B p Bo ?"f f i jb p B >?  p NL$@E@E ?[ r  gPhysical Memory0   pB p HDo?-  - pB  p HDo?  pB !p HDo? ] pB "p HDo?~ 1 Ld #p < o?"1 d $p < o? ]  %p N$@E@E ?  \Disk0   p \>  @p #""Y.  'p Nd,$@E@E ?"^ \>  Z AA (p N-$@E@E ?"~ \^  Z AA )p N=$@E@E ?"\~  Z AA *p NE$@E@E ?"\ Z AAB +p Bo ?"\zB ,p <1 ?"\zB -p <1 ?"~ \~ zB .p <1 ?"^ \^ B /p Bo ?"> \> B 0p Bo ?"> B 1p Bo ?"\\>  2p  `DQ$@E@E ?c  eVirtual Address0   pB 3p@ HDo? c  pB 4p@ HDo?- c  pB 5p@ HDo? =  pB 6p@ HDo?~  "d 7p < o?"c  d 8p < o? =  9p Z]$@E@E ?[< c Program A 0 2    :p Z|g$@E@E ?tg g Program B$ 0 2   H p 0޽h ? ̙3333y___PPT10Y+D=' 2= @B +  0T+April 28, 2003 Virtual Memory t<(  t~ t s *}$`  $ ~ t s *T~$00 $ H t 0޽h ? ̙3333y___PPT10Y+D=' 2= @B +  0T+April 28, 2003 Virtual Memory x<(  x~ x s *$`  $ ~ x s *؃$p $ H x 0޽h ? ̙3333y___PPT10Y+D=' 2= @B +  0T+April 28, 2003 Virtual Memory |<(  |~ | s *$`  $ ~ | s *h$00 $ H | 0޽h ? ̙3333y___PPT10Y+D=' 2= @B +  0T+April 28, 2003 Virtual Memory ph (  ~  s *|$`  $ B  C AY`H  0޽h ? ̙3333y___PPT10Y+D=' 2= @B +  0T+April 28, 2003 Virtual Memory <(  ~  s *$`  $ ~  s *$00 $ H  0޽h ? ̙3333y___PPT10Y+D=' 2= @B +#  0T+April 28, 2003 Virtual Memory """- "(  ~  s *$`  $   s *d$00 $ ,9I1pB  HDo? H  Z|$@E@E ? )  ZVPN10   j  B o?     Z\$@E@E ? 4  ZVPN20   j  B o?     Z$@E@E ? @  ZVPN30   j  B o?     Z($@E@E ? L 2  \offset0   j  B o? , d  < o?4 l d  < o? l    0e0e    BC`DE F @  5% 8c8c     ?`@"T0e          0e0e    BC`DE F @  5% 8c8c     ?`@"T0e      H  pB  HDo? d  < o? @    0e0e    BC`DE F @  5% 8c8c     ?`@"T0e      n   pB  HDo?v  N$@E@E ?} qPage Table Base Pointer 0 33    ZH$@E@E ?   YPPN0     Z*@E@E ? ]  YPPN0   j  B o? 1=   Z|*@E@E ? iO  \offset0   j  B o? =I    0e0e    BCDE F @  5% 8c8c     ?@"T0e      n 7    0e0e    BCDE F @  5% 8c8c     ?@"T0e       ,C   Z*@E@E ?/Y  ]1st 0 33    Z*@E@E ?:  ]2nd 0 33    ZDHDE5F5W  e2B3 B-AUA  ; &@  p+FT   - # @FA:BFC:DEF 1jJ?F:F:@"    ? $Ǫ? 4|F̛] h FXTO"!d>DHDE5F5W  e2B3 B-AUA  RJH C(d  _T   H  0޽h ? ̙3333y___PPT10Y+D=' 2= @B +  0T+April 28, 2003 Virtual Memory <(  ~  s *0=*`  * ~  s *>*00 * H  0޽h ? ̙3333y___PPT10Y+D=' 2= @B ++  0T+April 28, 2003 Virtual Memory   (  ~  s *Q*`  * ~  s *R*0 * B  C AH  0޽h ? ̙3333y___PPT10Y+D=' 2= @B +   0   (  *L p # 8 `  0x0p  <DM* 9TLB "  <,*' 6VA"`  0 0p  <d*  <Cache  "T  c $P P   <|i* ^  6PA"   <0m*^ KInstruction or Data "t2   6"`P (   <4q* 'f  8CPU "lb  <G^H+I@WxxPfb  6GHaI2P xP~  s *s*`  *   <u* t0 b0How to get translation out of the critical path?11 H  0޽h ??`    33___PPT10i.z7బ{+D=' 2= @B +  0 ^V (  L  # %`  0TB  c $Dz z   <~* O6 DPage offset    <Ѓ*P 7 9VPN  ^  6    B*\Z  9TLB "XB  0D-5~  6C"?    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"RB  s *D 55H RB  s *DH 5z H XB  0DH z z RB @ s *DH H XB  0DH   B * # w  9PPN "  Bd* L   9Tag "  B<*   :Data "XB  0D^ ^   B* o 9Hit "  B *P  ;Index "~  s **`  * r  N 1?"6@ NNN?NM 2  H Ԕ?"6@ NNN?NP 0,$D  0H  0޽h ? 33C;___PPT10.7gw+s8D' 2= @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D1' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* %(D' =-m6Bbox(in)*<3<* +   0L0 % --m(    C x(*gֳgֳ ?4  *   Zس*gֳgֳ1?h GCPU(0   Z*gֳgֳ1?"`Dh ;TLB0   Z*gֳgֳf1?"`h,  <L1 $0   Z*gֳgֳ1? h0  ;MEM0 pB  H1?ll@pB  H1?llpB  H1?< llh   T*gֳgֳ?M4 8VA0   T*gֳgֳ? 8PA0   T|*gֳgֳ?Q 8  8PA0   T*gֳgֳ? > bConventional Organization PIPT(0   Z*gֳgֳ1?p  GCPU(0   ZH*gֳgֳf1?"`8p  <L1 $0   Z,*gֳgֳ1?"`p  ;TLB0   Z@*gֳgֳ1? p  ;MEM0 pB  H1?t t 4pB  H1?t t pB  H1?0 t t \   T*gֳgֳ?A  ( 8VA0   T$*gֳgֳ?   8VA0   T*gֳgֳ?E " ,  8PA0    T8*gֳgֳ?  ;Virtually Addressed Cache Translate only on miss VIVT in L10<0 1  Z8*gֳgֳ1?x GCPU(0   Z-gֳgֳf1?"`Dx <L1 $0   Zx-gֳgֳ1?"`D` ;TLB0   Z<-gֳgֳ1? d  ;MEM0 pB  H1?||@pB  H1?||pB  H1?   T -gֳgֳ?5& 8VA0  ! T<-gֳgֳ?=: ?PA Tags0  " T-gֳgֳ? 8PA0 pB # H1?||@pB $@ H1?||pB % H1?pppB & H1?|| ' N-gֳgֳ? z m)Overlap $ access with VA translation VIPT(*0 % ( TL-gֳgֳ?2 ?VA Tags0  ) Z -gֳgֳ331?"`xd< @L2 $ 0 pB * H1? t t  + Zd%-gֳgֳ331?"`H 3  @L2 $ 0 pB , H1? [[  - Z*-gֳgֳ331?"`P   @L2 $ 0 H  0޽h ? f3y___PPT10Y+D=' 2= @B +   0 # 1(  r  S 0-`  - r"  S 1-0 - 8 0  p X   TT3- 1?"6@`NNN?N0$ =VPN0    T7- 1?"6@`NNN?N0 ( E Page offset 0      T;- 1?"6@`NNN?N$ C Cache tag 0    T?- 1?"6@`NNN?N$  E Cache index 0     T8C- 1?"6@`NNN?N $  @offset0   Z8:-1?"6@`NNN?N  =VPN0    ZE-1?"6@`NNN?N  E Page offset 0     ZI-1?"6@`NNN?N   C Cache tag 0     ZR-1?"6@`NNN?N   E Cache index 0    ZM-1?"6@`NNN?N  @offset0   THY- 1?"6@`NNN?N 4  ?TLB 0 B  BD1?"0@NNN?N B  ND1?"0@NNN?N  b  H 1?"6@ NNN?N B  ND1?"0@NNN?N@p@  H1?"6@ NNN?N0p``B  BD1?"0@NNN?N  ,$D  0B  ND1?"0@NNN?N  ,$D  0l   #  ,$D 0  H 1?"6@ NNN?N    B1?"6@ NNN?N`   ! B1?"6@ NNN?N   " N`- 1?"6@ NNN?N >L1 Cache 0  H  0޽h ? U>=UU(  ___PPT10.zЕ˰+.D' 2= @B D{' = @BA?%,( < +O%,( < +D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*#%(Dv' =%(D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*D' =%(D3' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-o6Bwipe(up)*<3<*+9,  0 0((    Tl-1?"6@`NNN?NPu| =VPN0   Zq-1?"6@`NNN?NPu =VPN0 :  Tu-1?"6@`NNN?N|Pup,$D 0 D0    B1?"6@`NNN?NYyp,$D 0:  T\z-1?"6@`NNN?NPu,$@ 0 D0  <  T|-1?"6@`NNN?NYy,$@ 0 F 0  :  T(-1?"6@`NNN?Ns x,$D 0 D0  :  Td-1?"6@`NNN?Ny ,$@ 0 D0  r  S T-`  - r"  S -0 00 -    Z-1?"6@`NNN?Nu  E Page offset 0     Z- 1?"6@`NNN?NPU C Cache tag 0     Zؑ- 1?"6@`NNN?NY  E Cache index 0    Z- 1?"6@`NNN?N  @offset0   TL-1?"6@`NNN?Nu  E Page offset 0    T,- 1?"6@`NNN?N|PUp C Cache tag 0    T - 1?"6@`NNN?N|Y p E Cache index 0    T- 1?"6@`NNN?N| p @offset0   T̨- 1?"6@`NNN?NeQ ?TLB 0 B  BD1?"0@NNN?N eB  ND1?"0@NNN?N e b  H 1?"6@ NNN?NPUPB  ND1?"0@NNN?N5  H1?"6@ NNN?N7l `y `y,$D 0r  H 1?"6@ NNN?N`  N - 1?"6@ NNN?NYoy 9a0 H  0޽h ? U>=UU(___PPT10.4z+$DE' 2= @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =%(D' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D7' =%(D' =%(DF' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-u6Bwipe(right)*<3<*D9' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(D' =-u6Bwipe(right)*<3<*D4' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*%(++0+0 ++0+0 ++0+0 ++0+0 ++0+0 +  0T+April 28, 2003 Virtual Memory 0<(  ~  s *-`  - ~  s *-0  - H  0޽h ? ̙3333y___PPT10Y+D=' 2= @B +j  0   } u  (    3 r-gֳgֳ ?0  -   3 r-gֳgֳ ? ` -     `-1?i0 z0* Placement and possible Replacement policies.10 0|B  TDo? B  ZDo? ` B  ZD33>?kk|B  TD33>?pp pp|B  TD>? 3 |B  TD>? p   N-331?  KCPU,0   Zt-331?I AI/O"0    `h-1?S  Kfault*0    `-1?  R Demand fetch* 0     ``(1? p  hPrefetch* 0 v  N1?@v  N1?@ v  N1?@@ p B   `DԔ?P @B   `DԔ?P@ @ @H  0޽h ? ̙33y___PPT10Y+D=' 2= @B +   0   _ (  x  c $l-  - x  c $0- 0 - |B  TDo?  @B  ZDo?; p;B  ZD33>? |B  TD33>?|B  TD>? C|B  TD>?  ND0331?0* KCPU,0   Z@0331?Y  AI/O"0    `01?  Kfault*0    `01? -k R Demand fetch* 0     `01?t hPrefetch* 0 v  N1? v  N1?  v  N1?P B   `DԔ? B   `DԔ?PPH  0޽h ? ̙33y___PPT10Y+D=' 2= @B +%?  0L0 p(h(8?((  r 4 S 0`  0 ~" 0T 8 #"2&T 0  <`0 ? 0T IImpossible: data cannot be allowed in cache if the page is not in memory.JJMM  <0 ? T WHitMM  <50 ?H T XMissMM   <D0 ? HT XMissMM   <N0 ? 0  ^ Impossible  MM   <W0 ?   WHitMM   <0`0 ?H   XMissMM   <i0 ? H  WHitMM  <s0 ?t 0  ^ Impossible  MM  <{0 ?t   XMissMM  <L0 ?Ht   XMissMM  <ȍ0 ?t H  WHitMM  <0 ?0t  QTLB misses and is followed by a page fault; after retry, data must miss in cache.RRMM  <d0 ?t  XMissMM  <0 ?Ht  XMissMM  <Ȳ0 ?Ht  XMissMM  <д0 ?*0 MTLB misses, but entry found in page table; after retry, data misses in cache.NNMM  <0 ?* XMissMM  <0 ?H* XHit MM  <0 ?*H YMiss MM  <0 ?0* OTLB misses, but entry found in page table; after retry, data is found in cache.PPMM  <|0 ?* XHit MM  <0 ?H* XHit MM  <0 ?H* YMiss MM  <1 ?0 FPossible, although the page table is never really checked if TLB hits.GGMM  <X 1 ? YMiss MM   <1 ?H XHit MM ! <x"1 ?H WHitMM " <1 ?0 {)Possible? If so, under what circumstance?**MM # <L51 ? 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U>=UU(E=___PPT10.x@~+D' 2= @B D' = @BA?%,( < +O%,( < +D' =%(D' =%(DE' =4@BBB B%(D' =-6B'blinds(horizontal)*<3<*9D' =1:Bhidden*o3>+B#style.visibility<*9%(D' =%(D' =%(DE' =4@BBB B%(D' =-6B'blinds(horizontal)*<3<*:D' =1:Bhidden*o3>+B#style.visibility<*:%(D' =%(D' =%(DE' =4@BBB B%(D' =-6B'blinds(horizontal)*<3<*;D' =1:Bhidden*o3>+B#style.visibility<*;%(D' =%(D' =%(DE' =4@BBB B%(D' =-6B'blinds(horizontal)*<3<*<D' =1:Bhidden*o3>+B#style.visibility<*<%(D' =%(D' =%(DE' =4@BBB B%(D' =-6B'blinds(horizontal)*<3<*=D' =1:Bhidden*o3>+B#style.visibility<*=%(D' =%(D' =%(DE' =4@BBB B%(D' =-6B'blinds(horizontal)*<3<*>D' =1:Bhidden*o3>+B#style.visibility<*>%(D' =%(D' =%(DE' =4@BBB B%(D' =-6B'blinds(horizontal)*<3<*?D' =1:Bhidden*o3>+B#style.visibility<*?%(+  0T+April 28, 2003 Virtual Memory @<(  ~  s *c1`  1 ~  s *(d100 1 H  0޽h ? ̙3333y___PPT10Y+D=' 2= @B +X+  0T+April 28, 2003 Virtual Memory #**P=@)(  ~  s *i1`  1 ~  s *j100 1 p t>  > #""~   Ntx1@E@E ?"^ t>  Z AA  N4z1@E@E ?"~ t^  Z AA  N؈1@E@E ?"t~  Z AA  N1@E@E ?"t Z AAB   Bo ?"tzB   <1 ?"tzB   <1 ?"~ t~ zB   <1 ?"^ t^ B   Bo ?"> t> B  Bo ?"> B  Bo ?"tt>    `1@E@E ?>u  eVirtual Address0   p  f i  ? #"" )   Nh1@E@E ?" f i  Z AA  N1@E@E ?" f  Z AA  N$1@E@E ?" f  Z AA  N1@E@E ?" f  Z AAB  Bo ?" f zB  <1 ?" f zB  <1 ?" f zB  <1 ?" f B  Bo ?" i f i B  Bo ?"  i B  Bo ?"f f i jb  B >?u   N1@E@E ?+  gPhysical Memory0   pB  HDo?Z pB  HDo? Z y pB ! HDo?z Z pB " HDo?N Zq d # < o?q d $ < o? L s % NT1@E@E ?   \Disk0   p \>  @ #""~  ' N@1@E@E ?"^ \>  Z AA ( N1@E@E ?"~ \^  Z AA ) N1@E@E ?"\~  Z AA * Nd1@E@E ?"\ Z AAB + Bo ?"\zB , <1 ?"\zB - <1 ?"~ \~ zB . <1 ?"^ \^ B / Bo ?"> \> B 0 Bo ?"> B 1 Bo ?"\\>  2  `2@E@E ?U  eVirtual Address0   pB 3@ HDo? = pB 4@ HDo? =pB 5@ HDo?z } = pB 6@ HDo?N Q =d 7 < o? Q d 8 < o? } s 9 Z0 2@E@E ?+  c Program A 0 2    : Z2@E@E ?V7 g Program B$ 0 2    ; T"2@E@Eo?  f"0     < # @A4'BC)DE@F1jJ?('q'aP''y'i(a))z.)zl(mm'aP'XY'Nc'El'@     "    ? $? 4|F̛]60 h FXTO"#d>D HDE5F5W  e2B3 B-AUA ,aV5wuP550En  uV6   = # @GA&BKC)DE4F1jJ? !J4'D HDE5F5W  e2B3 B-AUA (_o֗Ơ3nFw  VG  H  0޽h ? ̙3333y___PPT10Y+D=' 2= @B +  0T+April 28, 2003 Virtual Memory `T(  ~  s *1`  1   s *3200 1 $\H  0޽h ? ̙33y___PPT10Y+D=' 2= @B +$ 0 @$(  r  S `A2> 2 r"  S 8B2 `   2 H  0޽h ? U>=UU(80___PPT10.GzB*x"  0L0 1)(    C xK2xaxa1 ?  2   C xL2xaxa1 ?<$  0 2 ^  68c? iqh l  68c?"` h   # l|c(xaxaA1?   ?block0 H  0޽h ? a(y___PPT10Y+D=' 2= @B +%  0L0 tl(    C x,U2xaxa1 ?`@  2   C x,V2xaxa1 ?<$  0 2 H  0޽h ? a(6"."___PPT10".+D!' W2= @B Di!' = @BA?%,( < +O%,( < +D! 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