The memory of a program. Paging and Virtual Memory. Swapping. Paging. Physical to logical address mapping. Memory management: Review

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1 The memory of a program Paging and Virtual Memory Operating Systems Spring 4 Source-code is compiled into linkable object modules Memory addresses given as relative offsets Libraries contain object modules Object modules are linked together into a loadable module Leave unresolved references to dynamic libraries Loadable modules are loaded into memory and execute in a process The OS hardware map from logical address space to physical memory Physical to logical address mapping Every memory access is handled by the memory management unit (MMU) Example: C = AB four memory accesses (why?) Simple scheme: Physical addr = base register logical addr Logical addressing allows Multiple programs to co-exist in memory Use overlays to increase the available address space beyond physical limitation Use shared libraries and dynamic library loading Swapping Use secondary storage to store running processes Swap-out: suspend a process, copy its memory from main memory to disk Swap-in: copy a stored process from disk to main memory and resume running state Logical addressing: allow swapping back to a different location in memory Caution: DMA and asynchronous I/O to swapped processes must take care Memory management: Review Fixed partitioning, dynamic partitioning Problems Internal/external fragmentation A process can be loaded only if a contiguous memory chunk is available to accommodate the process Process size is limited by the main memory size Advantage: simplicity Paging Process memory is divided into fixed size chunks of the same size, called pages Pages are mapped onto frames in the main memory Process pages can be scattered all over the main memory No external fragmentation

2 Paging example Paging support A. A. A. A. D. D. D. C. C. C. C. D. D Process C Process A Process D Process B 4 Free Frame List Page table maintains mapping of process pages onto frames Hardware support is needed to support translation of relative addresses within a program (logical addresses) into the memory addresses Address translation Page (frame) size is a power of with page size = r, a logical address of lr bits is interpreted as a tuple (l,r) l = page number, r = offset within the page Page number is used as an index into the page table Logical address Hardware support Page # Offset Frame # Offset Register Page Table Ptr P# Page Table Frame # Program Paging Main Memory Offset Page Frame Virtual Memory Paging makes virtual memory possible Logical to physical address mapping is dynamic => It is not necessary that all of the process pages be in main memory during execution Benefits More processes may be maintained in the main memory Better system utilization and throughput The process size is not restricted by the physical memory size: the process memory is virtual But what is the limit anyway? Less disk I/O to swap/load programs

3 How does this work? CPU can execute a process as long as some portion of its address space is mapped onto the physical memory E.g., next instruction and data addresses are mapped Once a reference to an unmapped page is generated (page fault): Page fault interrupt transfers control to the OS handler Page Fault Handler Put the process into blocking state Program disk controller to read the page from disk into the memory Later on: I/O interrupt signals completion Resume the process Why is this practical? Observation: Program branching and data access patterns are not random Principle of locality: program and data references tend to cluster => Only a fraction of the process virtual address space need to be resident to allow the process to execute for sufficiently long Virtual memory implementation Efficient run-time address translation Hardware support, control data structures Fetch policy Demand paging: page is brought into the memory only when page-fault occurs Pre-paging: pages are brought in advance Page replacement policy Which page to evict when a page fault occurs? Thrashing A condition when the system is engaged in moving pages back and forth between memory and disk most of the time Bad page replacement policy may result in thrashing Programs with non-local behavior Address translation Virtual address is divided into page number and offset Virtual Address Page Number Offset Mapping of virtual pages onto physical frames are facilitated by page table(s) Forward-mapped page tables (FMPT) Inverted page tables (IPT)

4 Forward-mapped page tables (FMPT) Address Translation using FMPT Page table entry (PTE) structure Page table is an array of the above Index is the virtual page number P MOther Control Bits Frame Number P: present (valid) bit M: modified bit Page # Page Table Frame # Virtual address Page # Offset Frame # Offset Register Page Table Ptr P# Page Table Frame # Offset Program Paging Main Memory Page Frame Handling large address spaces One level FMPT is not suitable for large virtual address spaces bit addresses, 4K ( ) page size, / = entries ~4 bytes each => 4Mbytes resident page table per process! What about 64 bit architectures?? Solutions: multi-level FMPT Inverted page tables (IPT) Multilevel FMPT Use bits of the virtual address to index a hierarchy of page tables The leaf is a regular PTE Only the root is required to stay resident in main memory Other portions of the hierarchy are subject to paging as regular process pages Two-level FMPT Two-level FMPT page number page offset p i p d

5 Inverted page table (IPT) A single table with one entry per physical page Each entry contains the virtual address currently mapped to a physical page (plus control bits) Different processes may reference the same virtual address values Address space identifier (ASID) uniquely identifies the process address space Address translation with IPT Virtual address is first indexed into the hash anchor table (HAT) The HAT provides a pointer to a linked list of potential page table entries The list is searched sequentially for the virtual address (and ASID) match If no match is found -> page fault Address translation with IPT register ASID Virtual address page number offset ASID page number hash HAT base register HAT frame number IPT base register Frame# IPT Translation Lookaside Buffer (TLB) With VM accessing a memory location involves at least two intermediate memory accesses Page table access memory access TLB caches recent virtual to physical address mappings ASID or TLB flash is used to enforce protection TLB internals Address translation with TLB TLB is associative, high speed memory Each entry is a pair (tag,value) When presented with an item it is compared to all keys simultaneously If found, the value is returned; otherwise, it is a TLB miss Expensive: number of typical TLB entries: 64-4 Do not confuse with memory cache!

6 Bits in the PTE: Present (valid) Present (valid) bit Indicates whether the page is assigned to frame or not A reference to an invalid page generates page fault which is handled by the operating system Bits in PTE: modified, used Modified (dirty) bit Indicates whether the page has been modified Unmodified pages need not be written back to the disk when evicted Used bit Indicates whether the page has been accessed recently Used by the page replacement algorithm Bits in PTE Access permissions bit indicates whether the page is read-only or read-write UNIX copy-on-write bit Set whether more than one process shares a page If one of the processes writes into the page, a separate copy must first be made for all other processes sharing the page Useful for optimizing fork() Protection with VM Preventing processes from accessing other process pages Simple with FMPT Load the process page table base address into a register upon context switch ASID with IPT Page size considerations Small page size better approximates locality large page tables inefficient disk transfer Large page size internal fragmentation Most modern architectures support a number of different page sizes a configurable system parameter

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