1. 1 Chapter 3.2 : Virtual Memory What is virtual memory? What is virtual memory? Virtual memory management schemes Virtual memory management schemes Paging Paging Segmentation Segmentation Segmentation with paging Segmentation with paging Page table management Page table management

2. 2 Problems with Memory Management Techniques so far Unused (wasted) memory due to fragmentation Unused (wasted) memory due to fragmentation Memory may contain parts of program which are not used during a run (ie., some routines may not be accessed in that particular run) Memory may contain parts of program which are not used during a run (ie., some routines may not be accessed in that particular run) Process size is limited with the size of physical memory Process size is limited with the size of physical memory Process needs contiguous space in real memory for execution Process needs contiguous space in real memory for execution

3. 3 Virtual Memory (VM) Virtual memory of process on disk Real memory of system Map (translate) virtual address to real

4. 4 Virtual Memory (VM) VM is conceptual VM is conceptual It is constructed on disk It is constructed on disk Size of VM is not limited (usually larger than real memory) Size of VM is not limited (usually larger than real memory) All process addresses refer to the VM image All process addresses refer to the VM image When the process executes all VM addresses are mapped on to real memory When the process executes all VM addresses are mapped on to real memory

5. 5 Did We Solve the “Problems”? 1.Unused (wasted) memory due to fragmentation (We’ll see!) 2.Memory may contain parts of program which are not used during a run YES! Virtual memory contents are loaded into memory on demand YES! Virtual memory contents are loaded into memory on demand 3. Process size is limited with the size of physical memory YES! Process size can be larger than real memory YES! Process size can be larger than real memory

6. 6 (Pure) Paging Virtual and real memory are divided into fixed sized pages Virtual and real memory are divided into fixed sized pages Programs are divided into pages Programs are divided into pages A process address (both in virtual & real memory) has two components A process address (both in virtual & real memory) has two components Page #Offset within page

7. 7 Interpretation of an Address 16 bits for addressing means that the memory addressed is 64K bytes (0000 -FFFF) 16 bits for addressing means that the memory addressed is 64K bytes (0000 -FFFF) Suppose page size is 4K bytes (12 bits) Suppose page size is 4K bytes (12 bits) The virtual memory has 16 pages (4 bits) The virtual memory has 16 pages (4 bits) Real memory can have at the most 16 pages Real memory can have at the most 16 pages Example : Example : address : 7 F B C 0111 1111 1011 1100 0111 1111 1011 1100 Page #Offset

8. 8 The relation between virtual addresses and physical memory addresses 64K Virtual Memory 32K Real Memory

9. 9 Paging (Cont.) When process pages are transferred from VM to real memory, page numbers must be mapped from virtual to real memory addresses When process pages are transferred from VM to real memory, page numbers must be mapped from virtual to real memory addresses This mapping is done by software & hardware This mapping is done by software & hardware When the process is started only the first page (main) is loaded. Other pages are loaded on demand When the process is started only the first page (main) is loaded. Other pages are loaded on demand

10. 10 Virtual Memory – Memory Management Unit The position and function of the MMU

11. 11 Internal operation of MMU with 16 4 KB pages Note that virtual address is 16 bits (64K virtual memory) but the physical address is 15 bits (32K real memory)

12. 12 Page Tables Index of page table is the virtual page # Index of page table is the virtual page # Page Table 0 Page frame # Page protection Reference bit Modification bit Validity bit Page Table Entry 1 8 2 3 4 5 6 7

13. 13 Page Table Entry Fields Validity bit is set when the page is in memory Validity bit is set when the page is in memory Reference bit is set set by the hardware whenever the page is referred Reference bit is set set by the hardware whenever the page is referred Modified bit is set whenever the page is modified Modified bit is set whenever the page is modified Page-protection bits set the access rights (eg., read, write restrictions) Page-protection bits set the access rights (eg., read, write restrictions)

14. 14 Address Mapping in Paging Real memory address Page tables of processes PTn PT 1 PT2. Page #Offset within page Page Table Register + Catenate Virtual memory address

15. 15 Address Mapping in Paging (Cont.) During the execution every page reference is checked against the page map table entry During the execution every page reference is checked against the page map table entry If the validity bit is set (ie., page is in memory) execution continues If the validity bit is set (ie., page is in memory) execution continues If the page is not in memory a page fault (interrupt - trap) occurs and the page is fetched into memory If the page is not in memory a page fault (interrupt - trap) occurs and the page is fetched into memory If the memory is full, pages are written back using a page replacement algorithm If the memory is full, pages are written back using a page replacement algorithm

16. 16 Memory Management Problems : Re-visit due to paging 1. Unused (wasted) memory due to fragmentation ONLY on the last page (Page Break) ONLY on the last page (Page Break) 2. Memory may contain parts of program which are not used during a run Virtual memory contents are loaded into memory on demand Virtual memory contents are loaded into memory on demand 3. Process size is limited with the size of physical memory Process size can be larger than real memory Process size can be larger than real memory Furthermore, program does not occupy contiguous locations in memory (virtual pages are scattered in real memory) Furthermore, program does not occupy contiguous locations in memory (virtual pages are scattered in real memory)

17. 17 Segmentation Pages are fixed in size, segments are variable sized Pages are fixed in size, segments are variable sized A segment can be a logical entity such as A segment can be a logical entity such as Main program Main program Some routines Some routines Data of program Data of program File File Stack Stack

18. 18 Segmentation (Cont.) Process addresses are now in the form Process addresses are now in the form Segment #Offset within segment Segment Map Table has one entry for each segment and each entry consist of Segment Map Table has one entry for each segment and each entry consist of Segment number Segment number Physical segment starting address Physical segment starting address Segment length Segment length

19. 19 Segmentation (1) One-dimensional address space with growing tables One-dimensional address space with growing tables One table may bump into another One table may bump into another

20. 20 Segmentation (2) Allows each table to grow or shrink, independently

21. 21 Segmentation (3) Comparison of paging and segmentation

22. 22 Implementation of Pure Segmentation (a)-(d) Development of fragmentation (e) Removal of the fragmentation by compaction

23. 23 Problems with Segmentation Similar problems in dynamic partitioning Similar problems in dynamic partitioning Fragmentation in real memory Fragmentation in real memory Relocation is necessary for compaction Relocation is necessary for compaction

24. 24 Segmentation with Paging Segmentation in virtual memory, paging in real memory Segmentation in virtual memory, paging in real memory A segment is composed of pages A segment is composed of pages An address has three components An address has three components Page #Offset within pageSegment # The real memory contains only the demanded pages of a segment, not the full segment The real memory contains only the demanded pages of a segment, not the full segment

25. 25 Addressing in Segmentation with Paging Segment TablePage TablesPages Page #Offset within pageSegment #

26. 26 How Big is a Page Table? Consider a full 2 32 byte (4GB) address space Consider a full 2 32 byte (4GB) address space Assume 4096 byte (2 12 byte) pages Assume 4096 byte (2 12 byte) pages 4 bytes per page table entry 4 bytes per page table entry The page table has 2 32 /2 12 (= 2 20 ) entries (one for each page) The page table has 2 32 /2 12 (= 2 20 ) entries (one for each page) Page table size would be 2 22 bytes (or 4 megabytes) Page table size would be 2 22 bytes (or 4 megabytes)

27. 27 Problems with Direct Mapping? Although a page table is of variable length depending on the size of process, we can not keep them in registers Although a page table is of variable length depending on the size of process, we can not keep them in registers Page table must be in memory for fast access Page table must be in memory for fast access Since a page table can be very large (4MB), page tables are stored in virtual memory and be subjected to paging like process pages Since a page table can be very large (4MB), page tables are stored in virtual memory and be subjected to paging like process pages

28. 28 How to Solve? Two-level Lookup Two-level Lookup Inverted Page Tables Inverted Page Tables Translation Lookaside Buffers Translation Lookaside Buffers

29. 29 Two-Level Lookup DirectoryPageOffset 12 bits - 4096 Byte pages 10 bits - 1024 pages 10 bits - 1024 directories Virtual Address - 32 bits (4 GB)

30. 30 Two-Level Lookup (Cont.) DirPageOffset + + Physical Address Page Directory Page Table

31. 31 Two-Level Lookup (Cont.) A process is represented by one or more entries of the page directory (ie., several page tables) A process is represented by one or more entries of the page directory (ie., several page tables) Typically a page table size is set as one page which makes swapping easier Typically a page table size is set as one page which makes swapping easier This is one of the addressing schemes used by Intel family of chips (Intel chips can use paging, segmentation or a combination of both) This is one of the addressing schemes used by Intel family of chips (Intel chips can use paging, segmentation or a combination of both)

32. 32 Inverted Page Tables Page #Offset within page Virtual Address hash Hash Table Page Frame Table PID Page # 101 Hash # 2 3 Process # 17 76 Page # 23 17 32213 21

33. 33 Inverted Page Tables (Cont.) The virtual page number is hashed to point to a hash table The virtual page number is hashed to point to a hash table The hash table contains a pointer to the inverted page table The hash table contains a pointer to the inverted page table Inverted page table contains page table entries (one for each real memory page) Inverted page table contains page table entries (one for each real memory page) Entries having the same hash codes are chained Entries having the same hash codes are chained

34. 34 Inverted Page Tables (Cont.) A fixed portion of memory is used for mapping regardless of the number of processes or virtual pages A fixed portion of memory is used for mapping regardless of the number of processes or virtual pages This approach is used by IBM’s AS/400 and RISC System/6000 computers This approach is used by IBM’s AS/400 and RISC System/6000 computers

35. 35 Translation Lookaside Buffer Frame #Offset TLB Hit TLB Miss TLB Page Table Page #Offset Virtual Address Real Address Page Fault

36. 36 Translation Lookaside Buffer (Cont.) Translation lookaside buffer (TLB) is a cache for page table entries Translation lookaside buffer (TLB) is a cache for page table entries TLB contains page table entries that have been most recently used TLB contains page table entries that have been most recently used Whenever the page table is referred (TLB miss), the page table entry is also copied to the TLB Whenever the page table is referred (TLB miss), the page table entry is also copied to the TLB TLB is usually an associative memory (content addressable memory) TLB is usually an associative memory (content addressable memory)

37. 37 TLBs – Translation Lookaside Buffers A TLB to speed up paging

38. 38 Segmentation with Paging: MULTICS (1) Descriptor segment points to page tables Descriptor segment points to page tables Segment descriptor – numbers are field lengths Segment descriptor – numbers are field lengths

39. 39 Segmentation with Paging: MULTICS (2) A 34-bit MULTICS virtual address

40. 40 Segmentation with Paging: MULTICS (3) Conversion of a 2-part MULTICS address into a main memory address

41. 41 Segmentation with Paging: MULTICS (4) Simplified version of the MULTICS TLB Simplified version of the MULTICS TLB Existence of 2 page sizes makes actual TLB more complicated Existence of 2 page sizes makes actual TLB more complicated

42. 42 Segmentation with Paging: Pentium (1) A Pentium selector

43. 43 Segmentation with Paging: Pentium (2) Pentium code segment descriptor Pentium code segment descriptor Data segments differ slightly Data segments differ slightly

44. 44 Segmentation with Paging: Pentium (3) Conversion of a (selector, offset) pair to a linear address

45. 45 Segmentation with Paging: Pentium (4) Mapping of a linear address onto a physical address

46. 46 Segmentation with Paging: Pentium (5) Protection on the Pentium Level