Patent Publication Number: US-5835959-A

Title: Memory management system and method using dual indexing structures

Description:
CROSS-REFERENCE TO RELATED APPLICATION 
     This application claims priority of U.S. provisional patent application Ser. No. 60/003,117 filed Aug. 31, 1995 entitled &#34;Memory Management System and Method.&#34; 
     FIELD OF THE INVENTION 
     The present invention relates to a memory management system and method, and in particular, to a memory management system and method for allocating a memory block in a hierarchically organized memory in constant time. 
     BACKGROUND OF THE INVENTION 
     Physical memory size in every computer system is finite, whether the memory is cache, main memory or secondary storage. However, data-intensive applications, such as database management systems, must operate on data files that are maintained in secondary storage whose total size vastly exceeds the capacity of the cache or main memory. Virtual memory has evolved as one solution to providing access to these infinitely large files despite limitations imposed by physical memory hardware. 
     In a typical virtual memory system, the file is broken up into individual identically sized frames, each of which can easily fit within the confines of the main memory. A section of the main memory is partitioned into a swap space that contains a number of identically sized pages for storing selected frames into. The frames and pages have the same size so that each page is capable of containing one frame. Frames are dynamically loaded into the pages upon demand by an application program and are swapped out to secondary storage when the page is needed for loading in another frame. Virtual memory is discussed generally in A. S. Tanenbaum, Structured Computer organization, pp. 308-41, Prentice-Hall (2d ed. 1984). 
     Each particular frame can contain allocated memory blocks or unallocated memory blocks, that is, free space. Virtual memory does not provide an efficient way of allocating this randomly distributed free space for storage of data items having variable sizes generated during program execution. It only deals with the problem of loading into main memory requested frames from a file that is itself too large to efficiently fit into main memory. Therefore, there is a need for a scheme to dynamically allocate available memory blocks located in the frame space in variable sized portions for use by an application program. 
     One scheme for dynamically allocating memory blocks for data item storage is known as the &#34;Buddy Block System&#34; as described in D. E. Knuth, The Art of Computer Programming, vol. 1, pp. 442-45, Addison-Wesley (1973). Each frame is divided into proportional, fixed sized memory blocks each having a size that is a power of 2. Memory blocks are dynamically allocated only in one of these predetermined sizes. Excess space is wasted if the allocated memory block size is larger than the size requested. 
     Each frame is associated with a header structure for describing the attributes of the frame. The frame headers are doubly linked together into a list which has as many frame headers as the file has frames. Furthermore, each frame can have as many linked lists of memory block headers as the frame has memory block sizes. The list heads for these memory block lists are contained in the frame header. Each frame header also contains an availability bitmap to indicate what memory block sizes are free within the frame. The frame headers are physically grouped together forming &#34;header&#34; frames and should be distinguished from data frames as they play a major role in limiting performance. 
     There are two problems with this memory allocation scheme. First, the scheme is space efficient but time inefficient. As the file size increases, that is, as the number of data frames increases, proportionately fewer header frames of the file will reside in the swap space, thereby causing an increase in the time required to perform space allocation due to an ever increasing number of input and output (I/O) operations fetching header frames. Thus, the scheme takes a proportionately longer amount of time to allocate memory blocks as the virtual memory expands. To find a free memory block, the smallest power of 2 memory block size that is at least as large as the memory size requested is first selected. The linked list of frame headers is scanned causing header frame I/O and each availability bitmap is examined to locate a frame containing a free memory block of the desired power of 2 size. The entire linked list is searched until a free memory block is found. If no block is found, the next power of 2 memory block size is selected and the scan repeated. This entire process is repeated until a free memory block is found. If no memory block is found, a new frame is created and a new memory block allocated. The data frames are not consulted during this operation. only header frames are inspected. 
     Second, thrashing can occur. only some of the header frames are stored in main memory and those needed during a scan must be swapped into main memory. If multiple scans are needed to find a free memory block, header frames will be swapped back and forth until the memory request is satisfied. This results in serious performance degradation. 
     Therefore, there is a need for a system and method for managing a request for a free memory block located in a data frame in constant time, thereby avoiding the need to repeatedly scan the full frame header block lists until a free memory block is found. 
     SUMMARY OF THE INVENTION 
     The present invention enables the above problems to be overcome by providing a memory management system and method for providing a free memory block in constant time. 
     An embodiment of the present invention is a memory management system for a memory. A storage device is organized into at least one file comprising numbered frames of stored data (and meta data) for swapping into the memory. Each data frame contains storage blocks of space. The memory is connected to the storage device and comprises a cache comprising numbered pages for storing swapped frames and a page list heads list comprising at least one list head entry. Each numbered page contains a frame comprised of memory blocks for data storage. Each such list head entry contains a page number identifying the first of the (possibly many) numbered pages that contains a frame having at least one free memory block of a given block size. A processor is connected to the memory and comprises means for allocating the one memory block responsive to a memory request by looking up the numbered page identified by the page number stored in the one list head entry. 
     An embodiment of the present invention is also a method using a computer for managing a memory organized into a plurality of layers. A memory request comprising a requested size of memory space is generated in a service layer responsive to an application program. The memory request is received from the service layer in a memory manager layer. Free memory space is allocated by locating a free memory block at least as large as the requested size in constant time and returning an address for the located memory block to the service layer. 
     An embodiment of the present invention is also a method using a computer for managing a memory. The computer comprises a storage means for storing a file comprising a plurality of frames and a cache connected to the storage means for storing frames swapped into the memory in pages. A page list is maintained in the memory comprising a plurality of page entries. Each such page entry contains a number identifying one of the pages that is storing a frame having free space of a given block size. A disk block list is maintained in the memory comprising a plurality of count entries. Each such count entry contains a count of frames in the storage means that have free space of the given block size. 
     An embodiment of the present invention is also a method using a computer for allocating a memory block having a requested size in constant time. The computer comprising a cache comprising numbered pages for storing swapped frames of stored data and a page list heads list comprising at least one list head entry. Each numbered frame containing memory blocks for data storage. Each such list head entry storing a page number identifying the first of the (possibly many) numbered pages that contains a frame having at least one available memory block of a given block size. The page list heads list is scanned responsive to a memory request to obtain a page number matching the numbered page that contains at least one available memory block at least as large as the requested size. A memory block offset is determined for the one memory block relative to a starting location for the frame. The one memory block is allocated by updating the page list heads list. 
     An embodiment of the present invention is also a method using a computer for managing a partitioned memory. The computer comprises a memory connected to a storage device. The storage device is organized into at least one file comprising numbered data frames of stored data (and header frames) for swapping into the memory. The memory is partitioned into a cache comprising numbered pages for storing swapped frames. Each numbered page contains either one of the frames which contains memory blocks of storage space or a header frame. A page list heads list is formed comprising at least one list head entry. Each such list head entry stores a page number identifying the first of the numbered pages that contains at least one available memory block of a given block size. The one memory block is allocated responsive to a memory request by looking up the numbered page identified by the page number stored in the one list head entry. 
     Still other embodiments of the present invention will become readily apparent to those skilled in the art from the following detailed description, wherein is shown and described only embodiments of the invention by way of illustration for the best modes contemplated for carrying out the invention. As will be realized, the invention is capable of other and different embodiments and its several details are capable of modification in various obvious respects, all without departing from the spirit and the scope of the present invention. Accordingly, the drawings and detailed description are to be regarded as illustrative in nature and not as restrictive. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     FIG. 1 is a functional block diagram of a memory management system in accordance with the present invention; 
     FIG. 2 is a block diagram of the memory and disk subsystem components of the memory management system shown in FIG. 1; 
     FIG. 3 is a block diagram of frames, availability bitmaps and free memory blocks in the memory; 
     FIG. 4 is a block diagram of a database file; 
     FIGS. 5 and 6 are block diagrams of the cache, a pooled page list head list and a pooled disk blocks list in accordance with the present invention; 
     FIG. 7 is a flow diagram of a method for managing memory in accordance with the present invention; 
     FIG. 8 is a data structure of a page of a cache control array element; 
     FIG. 9 is a data structure of a pooled page list element; 
     FIG. 10 is a data structure of a frame header element; 
     FIG. 11 is a data structure of a memory block header element; 
     FIG. 12 is a data structure of a pooled page list heads list; 
     FIG. 13 is a data structure of a pooled disk blocks list; 
     FIG. 14 is a flow diagram of a procedure to get a memory block in accordance with the present invention; 
     FIG. 15 is a flow diagram of a procedure to scan the pooled page list heads list; 
     FIG. 16 is a flow diagram of a procedure to allocate a memory block; 
     FIG. 17 is a flow diagram of a procedure to update the block offset list and block headers; 
     FIG. 18 is a flow diagram of a procedure to adjust pooled page list heads lists; 
     FIG. 19 is a flow diagram of a procedure to add a page to the pooled page list heads list; 
     FIG. 20 is a flow diagram of a procedure to remove a page from a pooled page list; 
     FIG. 21 is a flow diagram of a procedure to free a memory block; 
     FIG. 22 is a flow diagram of a procedure to merge buddy blocks; 
     FIG. 23 is a flow diagram of a procedure to unlink a memory block; 
     FIG. 24 is a flow diagram of a procedure to scan the pooled disk block list; 
     FIG. 25 is a flow diagram of a procedure to adjust the pooled disk block list; and 
     FIG. 26 is a flow diagram of a procedure to update the pooled disk block list. 
    
    
     DETAILED DESCRIPTION 
     I. Definition of Terms 
     &#34;Record&#34;: refers to a fixed sized data item stored on a physical storage device, such as a disk subsystem. A collection of records is referred to as a file. 
     &#34;Frame&#34;: refers to a unit of interchange in a paging system, such as a record, swapped between a memory and the physical storage device. 
     &#34;Page&#34;: refers to physically addressable storage space located within the memory for storing a frame. 
     &#34;Memory block&#34;: refers to virtually addressable storage space within a frame. 
     &#34;Disk block&#34;: refers to a &#34;memory block&#34; that is on the physical storage device and not in memory. 
     &#34;Cache&#34;: refers to a collection of identically sized pages for storing swapped frames in a paging system. 
     &#34;Pool&#34;: refers to a logical partitioning of the data frames into subpools for defining homogeneous subcollections of storage space. 
     &#34;Pooled page list&#34;: refers to a collection of page references forming a doubly linked list for indicating an in-memory frame having a free memory block of a predetermined size. There is one pooled page list for each memory subpool (defined hereinbelow) and for every block size. 
     &#34;Pooled list heads list&#34;: refers to a collection of page references in the cache for identifying the heads of each pooled page list. 
     &#34;Pooled disk blocks list&#34;: refers to a collection of counts of partially allocated frames which are not currently in memory. There is one pooled disk block list for each memory subpool and for every block size. 
     II. Overview 
     An embodiment of the present invention provides direct access in constant time to a free memory block by scanning a pooled page list heads list 54, as shown in FIG. 5 (discussed in more detail hereinbelow) . The memory management and memory system 1 merely scans the pooled page list heads list 54 of FIG. 5, to find an entry 71 storing the number 72 of a page 46 in the memory 3 containing a frame 40 (FIG. 4) having a desired memory block 45 size at least as large as that required for a memory request 65 (FIG. 2). If no pooled page list heads list entry 71 indicating a free memory block of sufficient size is found, the Memory Manager 7 scans a pooled disk blocks list 70 to find an entry 80, therein storing a non-zero count 81 (FIG. 6) indicating that some partially allocated frames 40 on disk 4 have a suitably sized free memory block 45. If no pooled disk blocks list entry 71 is found, a new frame 40 is created to satisfy the memory request. Since only the head element of these lists is examined, the scan takes a constant amount of time and, in the worst case, requires one look up per memory block size (which is still constant time behavior) . In the described embodiment, there are 20 memory block sizes by way of example. 
     III. System Components 
     A particular type of application program that the present invention is particularly suited for is a database management system. Database files tend to be voluminous and there is consequently a need to swap the database frames between the main memory and disk subsystem and to make efficient use of free space in the frames that can either be in the main memory or on the disk subsystem, that is, not in memory. 
     The memory management and memory system 1 of FIG. 1 comprises a central processing unit (CPU) 2, a main memory 3 and a disk subsystem 4 connected over a common bus 5. These components perform the usual functions generally associated with a general purpose programmed digital computer. More specifically, the CPU executes instructions according to a computer program. The disk subsystem provides a physical storage device for large files used by application programs. The main memory stores the computer program during execution and data items that are read in from the disk subsystem. The main memory capacity is significantly smaller than the disk subsystem capacity. Transfers of data items between the main memory and disk subsystem are initiated by the CPU under computer program control but the actual loading and unloading of data items into or from the main memory can be effected by the CPU, a direct memory access (DMA) controller (not shown) or other similar device. 
     An exemplary example of a computer system suitable for embodying the memory management system of the present invention is a DEC 3000 Model 800 equipped with a 175 Mhz EV4 CPU chip, part no. 21064, with 640 megabytes of random access memory and 10 gigabytes of secondary storage, manufactured by Digital Equipment Corporation, Maynard, Mass. 
     IV. Memory Management Components 
     Referring to FIG. 2, the main memory 3 is hierarchically organized into three functional layers: Vector Manager (VM) 6, Memory Manager (MM) 7 and File Manager (FM) 8. These components in conjunction with the CPU 2 will now be described. 
     A. Vector Manager, File Manager and Disk Subsystem 
     Vector Manager 6 provides a service layer to an application program. In the described embodiment, this is a database management system. A plurality of general VM registers 9 are provided for storing information about vectors 15 in memory 3. 
     File Manager 8 provides a record-based I/O interface to the disk subsystem 4. A Last-In/First-Out free record stack 10 is maintained for buffering newly allocated or freed records being transferred between the main memory and the disk subsystem. 
     Finally, the disk subsystem 4 provides persistent, non-volatile storage of database files 11. The low level interfacing required to provide record-based access to the database files is provided by conventional operating system functions at the kernel (operating system) level. 
     Within the main memory 3, both the Vector Manager 6 and File Manager 8 interface to the Memory Manager 7. The Vector Manager 6 and Memory Manager 7 exchange memory block requests 65. A memory block request (65, FIG. 2) is issued via Vector Manager 6 identifying a desired amount of free space to be allocated for storing data in bytes. The Memory Manager 7 and File Manager 8 exchange record requests. There are four types of record requests: readrec(), writerec(), newrec() and freerec(). The last two record requests interface to the free record stack. The File Manager 8 and disk subsystem 4 exchange I/O requests. There are three types of I/O requests: read(), write() and seek(). 
     B. Memory Manager 
     The Memory Manager 7 manages memory block requests 65 for variable sized memory blocks received from the Vector Manager and record requests for fixed sized record transfers from the File Manager 8. The components constituting the Memory Manager 7 can best be understood by first describing the overall memory organization scheme. 
     1. Memory Organization Scheme 
     Referring to FIG. 4, each database file stored in the disk subsystem is broken up into individual, identically sized data frames 40 which, by way of example, consist of 8 megabytes (MB) of data. A database file 41 comprising a configuration record (&#34;Config&#34;) 42, header frames 43 (further described hereinbelow) and the data frames 40 is shown in FIG. 4. Swapped frames are stored in cache 15 of memory 3. The cache is, by way of example, partitioned into a plurality of numbered pages 47 with each page also being 8 MB in size. There are significantly more frames 40 in the database file in the disk subsystem 4 than pages in the cache 15. 
     Each particular frame 40 can contain free space where data has not been stored that can also be used by an application program for storage of data once the data frame is loaded into a page of cache 15. Referring to FIG. 3, each frame is subdivided into proportional, fixed sized memory blocks 45 in FIG. 3. Each memory block 45 has a size that is a power of 2 in the described embodiment. There are 20 block sizes available, ranging in size from 16 bytes through eight megabytes. The smallest 16-byte memory block is known as a paragraph and the memory blocks range in size from 1 through 512K paragraphs by powers of 2. 
     The block sizes, bytes and paragraphs in the described embodiment are summarized for ease of understanding in Table 1. Memory blocks 15 are dynamically allocated for use by the Vector Manager 6 only in one of these predetermined block sizes. Excess space is wasted if the allocated memory block size is larger than the size requested. The structure of the Memory Manager 7 will now be discussed. 
     2. Memory Manager Structure 
     Data structures in the C language for the components comprising the described embodiment of the present invention are presented in FIGS. 8-13. 
     a. Pages 
     Referring to FIGS. 2 and 5, each page 46 within the cache 15 can be used for storing a data frame 45 or a header frame 43 swapped in from the disk subsystem 4 through the File Manager 8. Each page 46 (of pages 13) is identified by a page number 47. In the described embodiment, the cache has 2 32  pages and page numbers consequently range from 0 to 2 32  -1. 
     A data structure for a cache control array element for a page is shown in FIG. 8. The 2 32  elements of the cache control data 15 are stored as an array 13 called &#34;cache --  page  !&#34;. Referring to FIGS. 5 and 8, each cache control array element contains five items. A pointer, p --  data 48, stores an address for the data space of the page. The frame number of the frame stored in each page is stored in pframe 49. The individual array elements are further organized into a doubly linked list by using a link to the next page, pnext 50, and previous page, pprev 51, in the cache. Finally, a pair of links, ppl, for the next 52 and previous 53 pages in the pplheads list 54, described hereinbelow, is stored for each separate block size. A data structure for the ppl is shown in FIG. 9. It is the ppl data structure which provides the constant time allocation behavior. 
     b. Frames 
     The MEMCONFIG/MEMDATA section 12 (&#34;MEMCONFIG&#34;) of memory 3 (FIG. 2) is used to store information about frames 40 and their free memory blocks 45. Information about all frames is made available by MEMCONFIG through the use of an array of disk locations for all header frames which thereby provides access to all frame headers. A data structure describing a frame header element is shown in FIG. 10 and comprises five items. 
     Referring to FIGS. 3 and 10, first, an availability bitmap, availmap 60, indicates whether a memory block of a specified block size is free in the corresponding frame by using a specific bit. There is one bit position within availmap 60 corresponding to each of the block sizes. The individual bit positions are summarized for ease of understanding in Table 2. By way of example, availmap is 32 bits long and the bit positions range from bit position 4 (corresponding to block size 1) through 23 (corresponding to block size 20). The availability bitmask in availmap for each block size and the corresponding bit positions are summarized for ease of understanding in Table 1. Non-available sizes are indicated by a 0-bit in availmap. If the frame has free memory blocks of different sizes, the availability bits are summed. For example, referring to FIG. 3, frame 6 has free memory blocks of sizes 1 and 4-6. The availability bitmasks for these block sizes (from Table 1) result in an availability bitmap calculated as follows: 
     
         ______________________________________                                    
block size 1: 0x00000010                                                  
block size 4: 0x00000080                                                  
block size 5: 0x00000100                                                  
block size 6: + 0x00000200                                                
availmap:     0x00000390                                                  
______________________________________                                    
 
    
     Second, referring to FIGS. 3 and 10, each frame header also has a block offset list, boffs  ! 62, organized by block size, again shown in FIG. 10. Each block offset entry indicates the relative location of the first free memory block of a selected block size within the frame. Additional free memory blocks of a given block size are then linked through the memory block header described later. Since a memory block of the maximum block size occupies the entire frame, it is unnecessary to maintain an offset within the block offset list for a maximum sized memory block. 
     Three examples of frames and their corresponding availability bitmaps and block offset lists are shown in FIG. 3. For clarity, only the first free memory block of each block size and the first 4096 bytes of each frame are shown, although each frame can contain more than one memory block of each size and is 8 MB in the described embodiment. Frame 3 has an availability bitmap of 0x000007D0. Referring to Table 1, this availability bitmap indicates that frame 3 has free memory blocks of sizes 1 and 3-7. Likewise, the availability bitmaps for frames 6 and 7, which are 0x00000390 and 0x00000810, respectively, indicate that those frames have free memory blocks of sizes 1, 4-6 and 1 and 8, respectively. Frame 3 has a block offset list showing that the first free memory block of size 1 has a relative offset of 0x00000740. Similarly, the first free memory blocks of sizes 3 through 7 have offsets of 0x00000840, 0x00000880, 0x00000900, 0x00000A00 and 0x00000C00, respectively. The block offset lists for frames 6 and 7 are similarly interpreted. 
     Lastly, each frame header element has three additional items. The memory space used by the application program in the described embodiment is logically partitioned into homogeneous collections of storage space known as pools. Each frame header contains a number of a pool, pool, identifying the frame&#39;s memory subpool. Finally, each frame has two pointers, fnext and fprev, forming a doubly linked list pointing to the next and previous, respectively, frames located in the assigned memory subpool. 
     c. Memory Blocks 
     Each frame consists of a set of memory blocks 45 which, by way of example, is a unit of memory whose sizes in bytes are exact powers of 2. The smallest block of memory is 16 bytes, known as a paragraph. The largest block of memory is 8 MB or the entire frame. There are twenty block sizes as shown in Table 1. The number of bytes n stored in each block size is defined by the equation: 
     
         n=2.sup.&lt;blksiz&gt;+3 
    
     where &lt;blksiz&gt;is the block size of the memory block. 
     Each free memory block within a frame has a block header. A data structure for a memory block header is shown in FIG. 11. It comprises five items. The block headers are organized into a doubly linked list with one list for each different memory block size. The p --  succlink and p --  predlink variables store offsets to the successor and predecessor free memory blocks, respectively, of a given block size. A frame can have several free memory blocks of the same block size and therefore, block headers for same sized memory blocks located within the same frame are formed into doubly linked lists. These doubly linked lists are headed in the block offset list, boffs  !, in the frame header. In each frame, there can be one linked list of free memory blocks for each different memory block size. Conversely, whenever no free memory blocks for a particular block size exist, there will not be a corresponding linked list as the boffs  ! entry will be empty. Each memory block header also contains a flag, f --  availtag, indicating that the memory block is free and a block size, kval8, indicating the power of 2 block size for a particular memory block. 
     d. Pooled Page List Heads List 
     The pooled page list heads list (&#34;pplheads list&#34;) 14 contains the heads of the doubly linked pooled page lists that are threaded through the ppl fields in the cache control array, cache --  page  ! (shown in FIG. 8). The pplheads list is organized according to block size. A data structure for a pplheads list is shown in FIG. 12. Like the block offset list stored within each frame header (shown in FIG. 10), it is unnecessary to have an entry in the pplheads list for the maximum memory block size since this size of memory block requires an entire frame. 
     As further described hereinbelow, the pplheads list provides to the Memory Manager constant time access to a page containing a frame having a free memory block of a predetermined block size. For example, the seventh entry (corresponding to block size 7) of pplheads list, pplheads 7! (shown in FIG. 5) contains 34 (corresponding to the page indexed by page number 34) which indicates that a free memory block of block size 7 is in frame 3. 
     e. Header Table List 
     The pooled disk block list (&#34;pdb list&#34;) 70 is stored in MEMCONFIG. A data structure describing the pdb list is shown in FIG. 13. Each element of the pdb list contains a count of the partially allocated frames on the disk subsystem having free memory blocks of a given block size. As further described hereinbelow, the pdb list is examined by the Memory Manager whenever a free memory block cannot be found in a frame currently residing in the cache. 
     f. Pool Heads List 
     Each memory subpool has a doubly linked list of frame headers. The heads of each of these lists are collected in the pool heads list (&#34;poolheads list&#34;) which is stored in MEMCONFIG. 
     g. Header Table List 
     The frame headers are collected onto frames which are stored as records in the database file. These collections of frame headers are called header frames and their disk locations are recorded in the header table list (&#34;hdrtable list&#34;) which is stored in MEMCONFIG. Access to the frame headers disk location in the hdrtable list is provided using the header frame number of the header as the index. 
     VI. Organizing a Memory Management System 
     A flow diagram summarizing the steps required to organize a memory management system in accordance with the present invention is shown in FIG. 7. First, the memory is partitioned into a plurality of numbered pages to form a cache for storing swapped frames (block 51). A pooled page heads list, referred to in the described embodiment as the pplheads list, is maintained for locating free memory blocks in frames residing in pages which is organized by block size (block 52). A disk block list, referred to in the described embodiment as the pdb list, is maintained for keeping a count of free memory blocks of a given block size located in frames on the disk subsystem (that is, frames not currently in cache) (block 52). A page number stored in each entry of the pooled page list is looked up responsive to a memory request from an application program (block 54) whereby the page number corresponds to a page in the cache containing a frame having a free memory block of one of the predetermined block sizes. Finally, an address for the memory block is calculated relative to the start of the page (block 55) which is returned to the application program to satisfy the memory request. 
     In the described embodiment, a database file in the disk subsystem is mounted and dismounted before and after program execution. During a mount operation, a permanent copy of the pdb list is copied to the memory from a database configuration record on the disk subsystem. Also, a permanent copy of the poolheads and hdrtable lists are copied to MEMCONFIG from the database configuration record. In addition, the pplheads list is initialized to zero. During swapping operations, the pplheads and pdb lists are updated by the Memory Manager as frames are swapped into and out of the cache. The operation of the Memory Manager will now be described. 
     V. Memory Block Allocation Examples 
     EXAMPLE 1 
     Assume that an application program requests a memory block of 100 bytes. Referring to Table 1, the smallest block size satisfying the memory request is block size 4 which contains 128 bytes or eight 16-byte paragraphs. The Memory Manager first attempts to satisfy the memory request by locating a memory block of block size 4 in a frame residing in the cache by scanning the pplheads list. Referring to FIG. 5, the fourth element (corresponding to block size 4) of the pplheads list (pplheads  4!) equals 23 which indicates that cache page 23 (cache --  page 23!) contains a free memory block of block size 4 in frame 6 (pframe: 6). Referring to FIG. 3, the fourth element (corresponding to block size 4) of the block offset array (boffs 4!) contains the offset (0x000 0080) of the free memory block 30 of block size 4. The memory request is satisfied by returning the frame number (6), page number (23) and offset (0x00000080) to the requesting application program. 
     EXAMPLE 2 
     Assume that the application program requests a memory block of 2,000 bytes. Referring to Table 1, the smallest block size satisfying the memory request is block size 8 which contains 2,048 bytes or 128 16-byte paragraphs. The Memory Manager first attempts to satisfy the memory request by locating a memory block of block size 8 in a frame residing in the cache. Referring to FIG. 6, the eighth element (corresponding to block size 8) of the pplheads list (pplheads 8!) equals zero (00) which indicates that none of the frames in the cache have a free memory block of block size 8. The Memory Manager will continue scanning the pplheads list for each successive larger block size until the list is exhausted. In this example, there are no free memory blocks of block size 8 or larger located in any frame residing in the cache. 
     Next, the Memory Manager attempts to satisfy the memory request by locating a memory block of block size 8 in a partially allocated frame residing on the disk subsystem by scanning the pdb list. Referring again to FIG. 6, the eighth element (corresponding to block size 8) of the pdb list (pdb 8!) equals 1 which is a count entry indicating that there is exactly one partially allocated frame residing on the disk subsystem that contains a free memory block of block size 8. 
     Finally, Memory Manager examines the poolheads list (stored in MEMCONFIG as shown in FIG. 2) for the current memory subpool to find the head of the doubly linked frame header list. Once the list head is obtained, the Memory Manager examines the availability map (availmap) for each frame header in the doubly linked frame header list until the frame containing the free memory block of size 8 is found. Referring to FIG. 3, neither of the availability bitmaps of the frame headers for frames 3 and 6 (0x000007D0 and 0x00000390, respectively) have an availability bit (shown in Table 1) for a block size 8 (0x00000800) set. Therefore, neither frames 3 or 6 have a free memory block of block size 8. The availability bitmap of the frame header for frame 7 (0x00000810), however, does have an availability bit for block size 8 set. The eighth element (corresponding to block size 8) of the block offset array (boffs 8!) contains the offset (0x00000800) of the free memory block 31 of block size 8. The memory request is satisfied by returning the frame number (7), page number (00) and offset (0x00000800) to the requesting application program. 
     EXAMPLE 3 
     Assume that the application program requests a memory block of 8,000 bytes. Referring to Table 1, the smallest block size satisfying the memory request is block size 10 which contains 8,192 bytes or 512 16-byte paragraphs. The Memory Manager first attempts to satisfy the memory request by locating a memory block of block size 10 in a frame residing in the cache. Referring to FIG. 6, the tenth element (corresponding to block size 10) of the pplheads list (pplheads 10!) equals zero (00) which indicates that none of the frames in the cache have a free memory block of block size 10. The Memory Manager will continue scanning the pplheads list for each successive larger block size until the list is exhausted. In this example, there are no free memory blocks of block size 10 or larger located in a frame residing in the cache. 
     Next, the Memory Manager attempts to satisfy the memory request by locating a memory block of block size 10 in a partially allocated frame residing on the disk subsystem by scanning the pdb list. Referring again to FIG. 6, the tenth element (corresponding to block size 10) of the pdb list (pdb 10!) equals zero (0) which is a count entry indicating that there are no partially allocated frames residing on the disk subsystem that contain a free memory block of block size 10. The Memory Manager will continue scanning the pdb list for each successive larger block size until the list is exhausted. In this example, there are no free memory blocks of block size 10 or larger located in a partially allocated frame on the disk subsystem. Thus, since no memory block of sufficient size is found, a new frame is created to satisfy the memory request. 
     VI. Memory Manager Program Structure 
     The program structure of the Memory Manager in accordance with the present invention is shown diagrammatically in the flow diagrams of FIGS. 14-25. By C language convention, preprocessor macros or constants appear in all capital letters and program variables appear in all lower case letters. A summary of the macro definitions is presented for ease of understanding in Table 3 wherein is indicated the macro name, its value and a brief description. Similarly, a summary of the flow diagrams of FIGS. 14-26 is presented for ease of understanding in Tables 4A-D wherein is indicated the flow diagram name, a brief description of the procedure, and its inputs, variables and outputs. Each of the procedures will now be described with reference to Tables 3 and 4. 
     The procedure for finding and allocating a memory block 45 responsive to a memory request 65 is shown in FIG. 14. Its purpose is to get the required number of memory blocks 45 needed to satisfy a memory request 65 (FIG. 2) for a variable number of bytes. If the requested number of bytes to allocate, reqsize, is greater than or equal to the maximum number of bytes, MAX --  BYTES (Table 3), in a frame 40 (block 100), the block size, supply, of the memory block 45 allocated is set to zero (block 101). A zero indicates that a new frame 40 must be obtained (block 102) to satisfy the memory request 65. Otherwise, if the requested number of bytes to allocate is less than the maximum number of bytes in a frame, a block size (reqsize) is saved in demand (block 105) for the smallest block size needed to satisfy the request. The pplheads list 54 is scanned (block 106), as further described hereinbelow in FIG. 15. If the pplheads list scan fails to find a free memory block 45 at least as large as demand, a frame number 49 equaling zero is set in frame (block 107) which indicates that the pdb list 70 must be scanned (block 108), as further described hereinbelow in FIG. 24. If the pdb list 70 scan fails to find a free memory block 45 at least as large as demand, the frame number 49 remains zero (block 109) and indicates that a new frame 40 must be obtained (block 102). If the pdb list scan succeeds, the frame that was located in the pdb list scan (in block 108) must be obtained or read from the disk subsystem 4 (block 110). Once a new frame is located or an existing frame is obtained, a memory block 45 is allocated from the page 46 containing that frame 40 (block 103), as further described hereinbelow in FIG. 16. The procedure returns the frame number 49, page number 47 and the offset 67 of the memory block 45 within the frame 45 (block 104). 
     A procedure for scanning the pplheads list 54 (block 106) based on the above factors is shown in FIG. 15. Its purpose is to scan the pplheads list 54 for a memory block 45 of a desired block size. The minimum block size to allocate is selected by storing demand in i (block 120). Each pplheads list page entry 71 is looked up by block size (block 121). To this end, the index number for each ppl heads list entry 71 is stored in pi. Each page entry 71 is examined to determine whether it is zero or stores the number of a page 47 in the cache 15 containing a frame having the desired memory block size (block 122). If it does not, that is, when the page entry 71 equals zero, the block size is incremented by 1 (block 123) and the process is repeated until the maximum block size MAX --  BLKSIZ (Table 3) is exceeded (block 124). If a page entry 71 indicating that a suitable memory block 45 exists is found in block 122, the block size i of the selected memory block 45 and page entry 71 pi (block 125) and the frame number pframe 49 are stored in frame in supply and page, respectively (block 126). Otherwise, if in block 124 the maximum block size is exceeded, the block size supply and page number 47 (block 127) and frame number 49 (block 120) are set to zero. The block size supply, frame number 49 and page number 47 are returned to the calling routine (block 129). 
     A flow diagram of a procedure for allocating a memory block 45 (block 103) based on the above factors is shown in FIG. 16. Its purpose is to allocate a memory block 45 of a selected block size on the specified page 46 in the cache 15. The availmap of the frame header (FIG. 10) previously selected, FHDR, is stored in program variable oldavail (block 140). If the block size, supply, is zero (block 141) which indicates that a suitable memory block 45 could not be located, the block size, supply, is set to the block size in stored in the input parameter demand (block 142) and size is set to the actual number of bytes, BYTES (supply) for the block size, supply, of the original request (block 143). The availability bitmap 60 of the selected frame, oldavail, and the desired number of bytes to allocate, size, are logically ANDed (block 144) and if that result is zero, the block size, supply, is incremented (block 146). The procedure (blocks 143, 144, 146) is repeated until either the maximum block size, MAX --  BLKSIZ (Table 3), is exceeded (block 147) or a suitable memory block 45 is found (block 144). Once a memory block 45 at least as large as the desired size is located within some frame (block 144), the block offset 67 of the memory block, boffs supply!, is stored in program variable offset (block 145) and the block offset array 62, boffs  !, and block header (FIG. 11), BHDR, are updated (block 149), as further described hereinbelow in FIG. 17. If the maximum block size, MAX --  BLKSIZ (Table 3), has been reached (block 147), the offset 67 of the memory block 45, offset, is set to zero (block 148) since the memory block size will equal the entire frame. The number of bytes allocated (requested block size demanded), BYTES(demand), is stored in program variable size (block 150) and is subtracted from the availability bitmap 60, availmap, (block 151). 
     The procedure next performs several housekeeping tasks. The block header (FIG. 11), BHDR, is examined at the offset 67 of the selected memory block 45, offset, (block 152) and the pointer to the successor memory block 45, p --  succlink, of the block header (FIG. 11), BHDR, is stored in program variable succ (block 153). If the pointer to the successor memory block 45, succ, is non-zero indicating that another block in the frame has a free memory block 45 of the same selected size (block 154), the pointer to the predecessor memory block 45, p --  predlink, of the successor memory block 45 is set to zero (block 155), that is, the memory block header (FIG. 11) for the block in the frame is set so that it no longer points back to the current block. The number of bytes allocated, size, is determined from the size of the memory block 45 which was allocated (BYTES(supply)) (block 156) and is added to the availability bitmap 60, availmap, (block 157) of the frame. Regardless of whether there is an offset 67 to a successor memory block 45, the block offset array entry, boffs supply!, is updated to point to the successor free memory block 45, succ, of the selected block size (block 158). Finally, the current availability bitmap 60, availmap, for the selected frame is compared to the original availability bitmap 60, oldavail, (block 159) and the ppl for the selected memory subpool, pool, are adjusted (block 160), as further described hereinbelow in FIG. 18. After the ppl are adjusted, or if the availability bitmaps 60 do not match (block 159), the offset 67 of the selected memory block 45, offset, is returned to the calling procedure (block 161). 
     A procedure for updating a block offset array 62 and block header (FIG. 11) (block 149) based on the above factors is shown in FIG. 17. Its purpose is to update a block offset array 62 and block header (FIG. 11). A minimum block size to allocate, demand, is stored in program variable kval (block 170). The number of bytes in the current block size being updated, BYTES(kval), is stored in program variable size (block 171). The entry in the block offset array 62 corresponding to the selected block size, boffs kval!, is set to the sum of the offset 67 to the memory block 45 allocated, offset, plus the number of bytes in the current block size being updated, size (block 172). The block header (FIG. 11), BHDR, at the offset 67 for the size selected, that is, located at offset+size, is obtained (block 173) and the pointers to the successor, p --  succlink, (block 174) and predecessor, p --  predlink, (block 175) memory blocks 45 for the selected memory block header (FIG. 11), BHDR, are set to zero. The availability tag, f --  availtag, for the selected memory block header (FIG. 11), BHDR, is set to indicate that it is free (&#34;TRUE&#34;) (block 176) and the power of 2 block size indicator, kval8, for the selected memory block header (FIG. 11), BHDR, is set to the selected block size, kval (block 177). The selected block size, kval, is incremented to set it to the next larger block size (block 178) and the procedure (blocks 171-78) is repeated until the selected block size, kval, exceeds the allocated block size, supply (block 179), whereupon the procedure terminates (block 180). 
     A procedure for adjusting the ppls (block 160), including each ppl of the supplied cache control array elements, based on the above allocation or deallocation factors is shown in FIG. 18. Its purpose is to modify the aforementioned ppl during a frame I/O event, such as a readframe() or swapframe() procedure call, or after an alloc --  blocko or free --  block () procedure call. The number of bytes in a minimum memory block 45, Paragraph, and the minimum block size, MIN --  BLKSIZ (Table 3), are stored in program variables j and i, respectively (block 190). In the described embodiment, the number of bytes in a minimum memory block 45 equals a paragraph comprising 16 bytes and the minimum block size equals one. The availmap before the allocation or deallocation operation (as previously stored in input parameter x) is logically ANDed with the stored minimum number of bytes, j, and the result stored in program variable k (block 191). That result, k, is compared to the availmap after the allocation or deallocation operation (as previously stored in input parameter y) logically ANDed with the minimum number of block size bytes, j (block 192). If the result indicates a mismatch, the program variable k is examined (block 193) and if it is non-zero, the page is removed from the linked list, i, for the memory pool, pool (block 194), as further described hereinbelow in FIG. 20. Otherwise, if the program variable k is zero (block 193), the page is added to the linked list, i, for the memory pool, pool (block 195). The next block size is determined by number of bytes, j, and block size, i, (block 196) and the procedure (blocks 191-96) is repeated until the maximum block size, MAX --  BLKSIZ (Table 3), has been exceeded (block 197), whereupon the procedure terminates (block 198). 
     A procedure for adding a page to the pplheads list 54 (block 195) based on the above factors is shown in FIG. 19. Its purpose is to add an entry 71 to the pplheads list 54 during the procedure to adjust the ppls (shown in FIG. 18). An entry 71 in the pplheads list 54, pplheads pool!  i!, from the selected memory subpool, pool, corresponding to the selected block size, i, being adjusted is stored in program variable p (block 210) and examined to determine whether a free memory block 45 for the selected size exists, that is, whether the entry 71, p, is zero (block 211). If it does not, the pointer to the previous page, ppprev i!, in the selected page, CP p!, is set to the current page, page (block 212). Regardless, the pplheads list entry 71 being adjusted, pplheads pool!  i!, is set to the selected page, page (block 213). The pointers to the next, ppnext i!, (block 214) and previous, ppprev i!, (block 215) pages for the selected page, CP page!, are set to the page, p, that the entry being adjusted previously pointed to (block 214) and zero (block 215), respectively, whereupon the routine exits (block 216). 
     A procedure for removing a page from the pplhead list (when necessary) (block 194), including from each ppl of the supplied cache control array elements, based on the above factors is shown in FIG. 20. Its purpose is to remove a ppl entry during the procedure to adjust the ppls (as shown in FIG. 18). The next, nxt i!, (block 231) and previous, prv i!, (block 232) pages in the selected cache page, CP page!, are stored in program variables next and prev, respectively. If there is a next page, that is, the next page, next, is non-zero (block 233), the offset 67 to the previous page, prv i!, pointed to by the next page, CP next!, is set to the offset 67 to the previous page, prev, for the selected page (block 234). Similarly, if there is a previous page, that is, the previous page, prev, is non-zero (block 235), the offset 67 to the next page, nxt i!, pointed to by the previous page, CP prev!, is set to the offset 67 to the next page, next, for the selected page (block 236). Otherwise, if there is no previous page, that is, the previous page, prev, is zero (block 235), the pplheads list entry 71, pplheads  pool!  i!, from the selected memory subpool, pool, corresponding to the selected block size, i, is set to the stored next page, next (block 237). Finally, the offsets to the next, nxt i!, (block 238) and previous, prv i!, (block 239) pages for the selected page, CP page!, are set to zero, respectively, whereupon the procedure terminates (block 240). 
     A procedure for freeing a memory block 45 is shown in FIG. 21. Its purpose is to free a memory block 45 at an offset 67 in a frame on a specified page responsive to a memory deallocation request from an application program. It is the functional opposite of the procedure to allocate a memory block 45 (shown in FIG. 16). The availability bitmap 60, availmap, for the frame, FHDR, containing the memory block 45 to be freed is stored in program variable oldavail (block 260) and appropriate &#34;buddy&#34; blocks are merged with adjacent blocks (block 261), as further described hereinbelow in FIG. 22. The availability tag for the memory block 45, f --  availtag, from the block header (FIG. 11), BHDR, is set to indicate that the memory block 45 is now free (block 262) and the offset 67 to the previous memory block 45, p --  predlink, from the block header (FIG. 11), BHDR, is set to zero (block 263). The availability bitmap 60, availmap, for the frame is logically ANDed with the largest size, size, of the memory block 45 freed (returned from the merge buddy blocks procedure described hereinbelow in FIG. 22) to determine whether any other memory blocks 45 of the selected size are free in the frame (block 264). If so, the pointer to the successor memory block 45, p --  succlink, from the block header (FIG. 11), BHDR, is set to the block offset 67 for the next memory block 45 of the same block size, boffs kval-1! (block 267). In addition, the memory block header (FIG. 11), BHDR, for the successor memory block 45, successor, is obtained (block 268) and the offset 67 to the predecessor memory block 45, p --  predlink, of the selected size is set to the offset, offset, stored in the obtained successor memory block 45, successor (block 269). If there is no memory block 45 of the same block size (block 264), the offset 67 to the predecessor memory block 45, p --  predlink, in the block header (FIG. 11), BHDR, of the selected size is set to zero (block 265) and the availability bitmap 60, availmap, is updated by setting it to the sum of the existing availability bitmap 60, availmap, plus the number of bytes of the memory block 45 being freed or deallocated, size, to indicate that a memory block 45 of the selected size is now free (block 266). 
     Next, the old availability bitmap 60, oldavail, (previous to the freeing of the memory block 45) is compared to the current availability bitmap 60, availmap (after the freeing of the memory block 45) (block 270). If the two availability bitmaps 60 do not match, the ppls for the selected page, including each of the ppls of the supplied cache control array elements, are adjusted (block 271), as further described hereinabove in the procedure to adjust the ppls (shown in FIG. 18). If the number of bytes freed, size, is fewer than the maximum number of bytes in a memory block 45, MAX --  BYTES (Table 3), the entry 71 for the next memory block 45 of the same block size in the block offset array 62, boffs kval-1!, is set to the current block offset, offset, (block 273), whereupon the procedure terminates (block 274). 
     A procedure for merging buddy blocks (block 261) based on the above factors is shown in FIG. 22. Its purpose is to incrementally merge power of 2 buddy blocks whenever a memory block 45 is freed according to the procedure to free a memory block 45 (shown in FIG. 21). A memory block header (FIG. 11), BHDR, located at the selected offset 67 for the memory block 45 being freed, offset, is obtained (block 290) and the block size of the original memory block 45 to free, BHDR.kval8, is stored in program variable kval (block 291). The number of bytes, size, corresponding to the stored block size, BYTES(kval), is determined (block 292) and the block header (FIG. 11) for the buddy memory block 45, BHDR, is obtained (block 293). 
     If the buddy block is not in use, that is, is also free (block 294) and the buddy block is of the same size as the memory block 45 being freed (block 296), the memory block 45 being freed and the corresponding buddy block are merged according to the following set of steps. First, the buddy block is unlinked from its predecessor and successor buddy blocks (block 297), as further described hereinbelow in FIG. 23. A new offset 67 is determined by collecting the minimum (MIN()) of the offset 67 for the memory block 45 being freed, offset, and the offset 67 for the buddy block, buddy block offset (block 298). The block size, kval, is incremented (block 299) to the next larger block size. The memory block header (FIG. 11), BHDR, located at the new offset, offset, is obtained (block 300) and the block size stored in the obtained block header (FIG. 11), BHDR.kval8, is set to the incremented block size, kval (block 301). Finally, the availability tag, f --  availtag, in the block header (FIG. 11), BHDR, is set to indicate that the memory block 45 is free (block 302). The procedure (blocks 292-302) is repeated until the maximum block size, MAX --  BLKSIZ (Table 3), is exceeded (block 303) or the buddy block is not mergeable because it is in use (block 294) or is not of the same size (block 296), whereupon the procedure returns the block header (FIG. 11) (BHDR), block size (kval), number of bytes (size), and block offset 67 of the largest merged block (offset) (block 295). 
     A procedure for unlinking a memory block 45 (block 297) based on the above factors is shown in FIG. 23. Its purpose is to unlink a memory block header (FIG. 11) from its links to other memory blocks 45 occurring in the selected frame during the procedure to merge buddy blocks (shown in FIG. 22). The header of the buddy block, BHDR, is obtained (block 320) and the offset 67 to its predecessor, p --  predlink, (block 321) and successor, p --  succlink, (block 322) buddy blocks are stored in local program variables pred and succ, respectively. If the buddy block offset to successor memory block 45, succ, is non-zero (block 323), the block header (FIG. 11) for the successor memory block 45, BHDR, is obtained (block 324) and the predecessor offset of the selected buddy block, p --  predlink, is set to the offset of the predecessor of the successor memory block 45, pred (block 325). Likewise, if the buddy block offset to the predecessor memory block 45, pred, is non-zero (block 326), the block header (FIG. 11) for the predecessor memory block 45, BHDR, is obtained (block 327) and the successor offset of the selected buddy block, p --  succlink, is set to the offset 67 of the successor of the predecessor memory block 45, succ (block 328). Upon completion of the two previous series of steps for adjusting the predecessor (blocks 323-25) and successor (blocks 326-28) pointers, the block size of the buddy block, kval, is set to the block size stored in its block header (FIG. 11), BHDR.kval (block 329) and the entry for the corresponding block offset 67 for the next smaller block size, boffs kval-1!, is set to the offset 67 of the successor memory block 45, succ (block 330). If there is no successor memory block 45, succ, from the selected buddy block (block 331), the availability bitmap 60, availmap, is updated by taking the difference of the existing availability bitmap 60, availmap, less the number of bytes for the selected block size, BYTES(kval) (block 332), whereupon the procedure terminates (block 333). 
     A procedure for scanning the pdb list 70 (block 108) based on the above factors is shown in FIG. 24. Its purpose is to scan the pdb list 70 for a memory block 45 of a selected block size during the procedure to get a memory block 45 (shown in FIG. 14). The block size of the memory block 45 to allocate, demand, is stored in a program variable i (block 350). The pdb list entry 80, pdb pool!  i!, from the selected memory subpool, pool, corresponding to the selected block size, i, is stored in another program variable ci as a count entry 80 (block 351). If the count entry 80, ci, is zero indicating that the count of memory blocks 45, pdb pool!  i!, from the selected memory subpool, pool, corresponding to the selected block size, i, is zero (block 352), the block size, i, is incremented to the next larger block size (block 353) and the steps of storing, comparing and incrementing (blocks 351-53) are repeated until the maximum block size, MAX --  BLKSIZ (Table 3), is exceeded (block 354) or a non-zero count entry 80 (block 352) is found. If the maximum block size is exceeded (block 354), the frame number 49 is set to zero (block 358). If a non-zero count entry 80, ci, is found in the pdb list 70 (block 352), the frame for the first frame, poolheads pool!, from the memory subpool, pool, is stored in program variable frame (block 355) and its frame header (FIG. 10), fhdr, is obtained (block 360). The availability bitmap 60, availmap, for the frame is compared to the minimum size of memory block 45 to allocate, demand, to determine whether there is a free memory block 45 of the selected block size free in that frame (block 356). If not, the next frame, frame, in the memory subpool is selected using the pointer to the next frame, fhdr-&gt;fnext, (block 357) and the steps of obtaining and comparing (blocks 360 and 356) are repeated until a frame containing a free memory block 45 of the requested block size is found. The frame number 49, frame, is returned to the calling procedure (block 359). 
     A procedure for adjusting the pdb list 70 (block 103) based on the above factors is shown in FIG. 25. Its purpose is to modify the pdb list 70 during an I/O event, such as a readframe(), swapframe() or rollback() operation, which occurs during the procedures to get a memory block 45 (shown in FIG. 14) or to free a memory block 45 when the cache does not contain sufficient space during a frame swap (shown in FIG. 21). The minimum block size, MIN --  BLKSIZ (Table 3), is stored in a program variable i (block 370). The availability bitmap 60, availmap, in the frame header (FIG. 10) for the selected frame, avail, is logically ANDed with the number of bytes, BYTES(i), corresponding to the selected block size, i (block 371). If this comparison indicates that other memory blocks 45 of the selected block size exist, the pdb list entry 80, pdb pool!  i!, from the selected memory subpool, pool, corresponding to the selected block size, i, is incremented positively or negatively to adjust the free memory block count (block 372). The next larger block size is selected by incrementing the selected block size, i, (block 373) and the comparison and incrementing steps (blocks 371-73) are repeated until the maximum block size, MAX --  BLKSIZ (Table 3), is exceeded (block 374), whereupon the procedure terminates (block 375). 
     A procedure for updating the pdb list 70 is shown in FIG. 26. Its purpose is to update the pdb list 70 before a dismount or close operation on a database file. The minimum block size, MIN --  BLKSIZ (Table 3), is stored in a program variable i (block 390). An entry 80 in the pdb list 70, pdb pool!  i!, from the selected memory subpool, pool, corresponding to the selected block size, i, is selected and stored into pi (block 391). If the entry 80, i, is non-zero which indicates that there are other free memory blocks 45 of the selected block size in the frame in the selected memory subpool (block 392), the entry 80 for the pdb list, pdb pool!  i!, is incremented to increase the count of free memory blocks 45 of the selected block size (block 393), the next cache page, pdb pool!  i!, for the selected block size is selected and stored into pi (block 394) and the process (blocks 391-94) is repeated. After all the pdb list entries (pdb pool!  i!) have been examined, the block size, i, is increased to the next larger memory block size (block 395) and the entire process (blocks 391-95) is again repeated until the maximum block size, MAX --  BLKSIZ (Table 3), is exceeded (block 396), whereupon the procedures terminates (block 397). 
     While the invention has been particularly shown and described as referenced to the embodiments thereof, it will be understood by those skilled in the art that the foregoing and other changes in form and detail may be made without departing from the scope and spirit of the present invention. 
     
                       TABLE 1                                                     
______________________________________                                    
                                     Bitmask                              
Block Size                   Availability                                 
                                     Bit                                  
(&lt;blksiz&gt;)                                                                
        Bytes     Paragraphs Bitmask Position                             
______________________________________                                    
 1       16         1        0x00000010                                   
                                      4                                   
 2       32         2        0x00000020                                   
                                      5                                   
 3       64         4        0x00000040                                   
                                      6                                   
 4       128        8        0x00000080                                   
                                      7                                   
 5       256       16        0x00000100                                   
                                      8                                   
 6       512       32        0x00000200                                   
                                      9                                   
 7      1024       64        0x00000400                                   
                                     10                                   
 8      2048       128       0x00000800                                   
                                     11                                   
 9      4096       256       0x00001000                                   
                                     12                                   
10      8192       512       0x00002000                                   
                                     13                                   
11       16KB     1024       0x00004000                                   
                                     14                                   
12       32KB     2048       0x00008000                                   
                                     15                                   
13       64KB     4096       0x00010000                                   
                                     16                                   
14       128KB    8192       0x00020000                                   
                                     17                                   
15       256KB     16K       0x00040000                                   
                                     18                                   
16       512KB     32K       0x00080000                                   
                                     19                                   
17        1MB      64K       0x00100000                                   
                                     20                                   
18        2MB      128K      0x00200000                                   
                                     21                                   
19        4MB      256K      0x00400000                                   
                                     22                                   
20        8MB      512K      0x00800000                                   
                                     23                                   
______________________________________                                    
 
    
     
                       TABLE 2                                                     
______________________________________                                    
Frame Header Availability Bitmap                                          
FEDCBA98                                                                  
        76543210 FEDCBA98  76543210                                       
                                  Bit Position                            
______________________________________                                    
. . . . . . . .                                                           
        . . . . . . . .                                                   
                 . . . . . . . .                                          
                           . . . . . . . x                                
                                  Rebuild Block Flag                      
. . . . . . . .                                                           
        . . . . . . . .                                                   
                 . . . . . . . .                                          
                           . . . . . . x .                                
                                  Reserved                                
. . . . . . . .                                                           
        . . . . . . . .                                                   
                 . . . . . . . .                                          
                           . . . . . x . .                                
                                  Reserved                                
. . . . . . . .                                                           
        . . . . . . . .                                                   
                 . . . . . . . .                                          
                           . . . . x . . .                                
                                  Reserved                                
. . . . . . . .                                                           
        xxxxxxxx xxxxxxxx  xxxx. . . .                                    
                                  Block Size Bitmap                       
xxxxxxxx                                                                  
        . . . . . . . .                                                   
                 . . . . . . . .                                          
                           . . . . . . . .                                
                                  Reserved                                
______________________________________                                    
 
    
     
                       TABLE 3                                                     
______________________________________                                    
Macro Name   Default Value                                                
                         Description                                      
______________________________________                                    
MAX.sub.-- BYTES                                                          
              8MB        Maximum bytes in a frame                         
MIN.sub.-- BLKSIZ                                                         
              1          Minimum &lt;blksiz&gt;                                 
MAX.sub.-- BLKSIZ                                                         
             20          Maximum &lt;blksiz&gt;                                 
______________________________________                                    
 
    
     
                                           TABLE 4A                                
__________________________________________________________________________
FLOW                                                                      
DIAGRAM                                                                   
      DESCRIPTION                                                         
              INPUTS  VARIABLES                                           
                              OUTPUTS                                     
__________________________________________________________________________
FIG. 14:                                                                  
      Find and                                                            
              reqsize:                                                    
                      demand: frame: frame                                
get a allocate a                                                          
              requested                                                   
                      minimum number                                      
memory                                                                    
      memory block,                                                       
              number of                                                   
                      &lt;blksiz&gt; to                                         
block responsive to                                                       
              bytes to                                                    
                      allocate                                            
                              page: page                                  
procedure                                                                 
      a memory                                                            
              allocate        number                                      
      request.        supply:                                             
              pool: requested                                             
                      &lt;blksiz&gt; of                                         
                              offset: offset to                           
              memory  memory block                                        
                              memory block                                
              subpool to                                                  
                      allocation is                                       
                              allocated                                   
              allocate from                                               
                      supplied from                                       
FIG. 15:                                                                  
      Scan pp/heads                                                       
              demand: i: &lt;blksiz&gt; of                                      
                              supply:                                     
scan  list for a                                                          
              minimum current pplheads                                    
                              &lt;blksiz&gt; of                                 
pooled                                                                    
      memory block                                                        
              &lt;blksiz&gt; to                                                 
                      list entry                                          
                              memory block                                
page list                                                                 
      of size allocate        allocation is                               
heads list                                                                
      &lt;blksiz&gt;.                                                           
              pi: pplheads list                                           
                      supplied from                                       
procedure     pool: requested                                             
                      entry                                               
              memory          frame: frame                                
              subpool to      number of frame                             
              allocate from   containing                                  
                              memory block to                             
                              allocate                                    
                              page: page                                  
                              number for                                  
                              selected frame                              
FIG. 16:                                                                  
      Allocate a                                                          
              page: page to                                               
                      old avail:                                          
                              offset: offset to                           
allocate a                                                                
      memory block                                                        
              allocate from                                               
                      availability                                        
                              memory block                                
memory                                                                    
      of size         bitmap for frame                                    
                              allocated                                   
block &lt;blksiz&gt; on                                                         
              demand: prior to                                            
procedure                                                                 
      specified page.                                                     
              minimum allocation                                          
              &lt;blksiz&gt; to                                                 
              allocate                                                    
                      size: number of                                     
                      bytes allocating                                    
              supply:                                                     
              &lt;blksiz&gt; of                                                 
                      succ: pointer to                                    
              memory block                                                
                      successor                                           
              allocation is                                               
                      memory block                                        
              supplied from                                               
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                                           TABLE 4B                                
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FLOW                                                                      
DIAGRAM                                                                   
      DESCRIPTION                                                         
              INPUTS  VARIABLES                                           
                              OUTPUTS                                     
__________________________________________________________________________
FIG. 17:                                                                  
      Update  demand: kval: minimum                                       
update                                                                    
      memory block                                                        
              minimum &lt;blksiz&gt; to                                         
boffs ! list                                                              
      offset lists and                                                    
              &lt;blksiz&gt; to                                                 
                      allocate                                            
and BHDRs                                                                 
      block headers.                                                      
              allocate                                                    
procedure                                                                 
              supply:                                                     
              &lt;blksiz&gt; of                                                 
              memory block                                                
              allocation is                                               
              supplied from                                               
              offset: offset to                                           
              memory block                                                
              allocated                                                   
FIG. 18:                                                                  
      Modify the ppl                                                      
              pool: memory                                                
                      paragraph:                                          
adjust                                                                    
      during a frame                                                      
              subpool to be                                               
                      number of bytes                                     
pooled                                                                    
      I/O event such                                                      
              adjusted                                                    
                      in minimum                                          
page list                                                                 
      as readframe()  &lt;blksiz&gt;                                            
heads lists                                                               
      or      page: page                                                  
                      memory block                                        
procedure                                                                 
      swapframe(),                                                        
              number of                                                   
      or after an                                                         
              memory block                                                
                      i: &lt;blksiz&gt; of                                      
      alloc.sub.-- block() or                                             
              to be adjusted                                              
                      ppl list entry                                      
      free.sub.-- block().                                                
                      being adjusted                                      
              x: availmap of                                              
              frame before                                                
                      j: number of                                        
              allocation or                                               
                      bytes in a                                          
              deallocation                                                
                      memory block of                                     
                      size &lt;blksiz&gt;                                       
              y: availmap of                                              
                      equalling i                                         
              frame after                                                 
              allocation or                                               
                      k: logical AND                                      
              deallocation                                                
                      of frame and                                        
                      paragraph index                                     
FIG. 19:                                                                  
      Add a   pool: memory                                                
                      p: entry in                                         
add a page                                                                
      pplheads list                                                       
              subpool to be                                               
                      pplheads list                                       
to pooled                                                                 
      entry during a                                                      
              added to                                                    
page list                                                                 
      ppladjust().                                                        
heads list    page: page                                                  
procedure     number to add                                               
              to pp/heads list                                            
              i: &lt;blksiz&gt; of                                              
              pp/heads list to                                            
              be added to                                                 
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                                           TABLE 4C                                
__________________________________________________________________________
FLOW                                                                      
DIAGRAM                                                                   
      DESCRIPTION                                                         
              INPUTS  VARIABLES                                           
                              OUTPUTS                                     
__________________________________________________________________________
FIG. 20:                                                                  
      Remove a ppl                                                        
              pool: memory                                                
                      next: page                                          
remove a                                                                  
      list entry                                                          
              subpool to                                                  
                      number of next                                      
page from                                                                 
      during  remove from                                                 
                      page in cache                                       
pooled                                                                    
      ppladjust().    list                                                
page list     page: page                                                  
heads list    number to                                                   
                      prev: page                                          
procedure     remove from                                                 
                      number of                                           
              ppl list                                                    
                      previous page in                                    
                      cache list                                          
              i: &lt;blksiz&gt; of                                              
              ppl list to                                                 
              remove from                                                 
FIG. 21:                                                                  
      Free a memory                                                       
              page: page to                                               
                      oldavail:                                           
free a                                                                    
      block at offset                                                     
              free a memory                                               
                      availability                                        
memory                                                                    
      &lt;offs&gt; on                                                           
              block from                                                  
                      bitmap for frame                                    
block the specified                                                       
              before                                                      
procedure                                                                 
      page.   offset: offset of                                           
                      deallocation                                        
              memory block                                                
              to be freed                                                 
                      size: number of                                     
                      bytes of memory                                     
                      block being                                         
                      freed or                                            
                      deallocated from                                    
                      merge buddy                                         
                      blocks procedure                                    
                      (FIG. 22)                                           
FIG. 22:                                                                  
      Merge buddy                                                         
              FHDR: pointer                                               
                      kval: memory                                        
                              BHDR: pointer to                            
merge memory  to frame header                                             
                      block size of                                       
                              memory block                                
buddy blocks.         memory block to                                     
                              header                                      
blocks        offset: offset of                                           
                      free                                                
procedure     original memory                                             
                      kval: memory                                        
              block to be                                                 
                      size: number of                                     
                              block size of                               
              freed   bytes for                                           
                              memory block                                
                      memory block of                                     
                              last freed                                  
                      size kval                                           
                              according to                                
                      buddy block                                         
                      buddoffs: offset                                    
                              system                                      
                      to the buddy                                        
                      memory block                                        
                              size: number of                             
                              bytes for                                   
                              memory block of                             
                              size kval                                   
                              offset: offset of                           
                              memory block                                
                              last freed                                  
__________________________________________________________________________
 
    
     
                                           TABLE 4D                                
__________________________________________________________________________
FLOW                                                                      
DIAGRAM                                                                   
      DESCRIPTION                                                         
              INPUTS  VARIABLES                                           
                              OUTPUTS                                     
__________________________________________________________________________
FIG. 23:                                                                  
      Unlink memory                                                       
              FHDR: pointer                                               
                      succ: pointer to                                    
unlink a                                                                  
      block header                                                        
              to frame header                                             
                      successor buddy                                     
memory                                                                    
      links to a      memory block                                        
block memory block.                                                       
              buddoffs: offset                                            
procedure     to the buddy                                                
                      pred: pointer to                                    
              memory block                                                
                      predecessor                                         
                      buddy memory                                        
                      block                                               
FIG. 24:                                                                  
      Scan the pdb                                                        
              demand: i: &lt;blksiz&gt; of                                      
                              frame: frame                                
scan  list for a                                                          
              minimum current pdb list                                    
                              number of                                   
Pooled disk                                                               
      memory block                                                        
              &lt;blksiz&gt; to                                                 
                      entry   frame                                       
block list                                                                
      of size allocate        containing                                  
procedure                                                                 
      &lt;blksiz&gt;.       ci: pdb list entry                                  
                              memory block                                
              pool: requested of requested                                
              memory          size                                        
              subpool to                                                  
              allocate from                                               
FIG. 25:                                                                  
      Modify the                                                          
              pool: memory                                                
                      i: &lt;blksiz&gt; of                                      
adjust                                                                    
      pdb list during                                                     
              subpool to be                                               
                      pdb list entry to                                   
pooled disk                                                               
      a frame I/O                                                         
              adjusted                                                    
                      adjust                                              
block list                                                                
      event such as                                                       
procedure                                                                 
      readframe(),                                                        
              avail: availmap                                             
      swapframe() or                                                      
              of frame                                                    
      rollback().                                                         
              incr: delta to                                              
              adjust by (±1)                                           
FIG. 26:                                                                  
      Update the                                                          
              pool: memory                                                
                      i: &lt;blksiz&gt;of                                       
update                                                                    
      pdb list from                                                       
              subpool to be                                               
                      pdb list entry to                                   
pooled disk                                                               
      the pplheads                                                        
              adjusted                                                    
                      adjust                                              
block list                                                                
      list before                                                         
procedure                                                                 
      reading or      pi: pdb list entry                                  
      writing a                                                           
      frame to disk.                                                      
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