|Numéro de publication||US7823158 B2|
|Type de publication||Octroi|
|Numéro de demande||US 11/207,071|
|Date de publication||26 oct. 2010|
|Date de dépôt||18 août 2005|
|Date de priorité||18 août 2005|
|État de paiement des frais||Caduc|
|Autre référence de publication||US20070044104|
|Numéro de publication||11207071, 207071, US 7823158 B2, US 7823158B2, US-B2-7823158, US7823158 B2, US7823158B2|
|Inventeurs||Harry John Beatty, III, Peter Claude Elmendorf, Chen Luo|
|Cessionnaire d'origine||International Business Machines Corporation|
|Exporter la citation||BiBTeX, EndNote, RefMan|
|Citations de brevets (55), Citations hors brevets (15), Référencé par (5), Classifications (7), Événements juridiques (4)|
|Liens externes: USPTO, Cession USPTO, Espacenet|
This application contains subject matter which is related to the subject matter of the following application, which is assigned to the same assignee as this application and which is hereby incorporated herein by reference in its entirety:
“Method of Using a Distinct Flow of Computational Control as a Reusable Data Object”, Beatty, III et al., U.S. Pat. No. 7,140,018, issued Nov. 21, 2006.
The present invention relates to computer processing and, in particular, to parallel computer programming or processing.
In prior art computing using separate, non-parallel processing, programs often share data and other services. An example of this is shown in
Parallel processing offers improvements in that a single program can run simultaneously different threads or independent flows of control managed by the program. Multiple threads may execute in a parallel manner, and the threads may share information in either a loosely or tightly coupled manner. An example of a parallel processing arrangement is shown in
Coordinated data access between threads usually requires operating system assistance (with associated penalties), such as semaphores or locks. However, in typical parallel processing applications, serialization caused by use of system services such as storage management, and coordination of access to memory often significantly reduces the attainable performance advantages of a parallel algorithm. Serialization occurs when more than one thread accesses or requests a data object or other system resource. If such a conflict occurs, only one thread has access and all other threads are denied access until the first thread is finished with the system resource. For example, the structure shown in
In current practice, memory management in parallel software is also an area where complexity and inefficiency are major drawbacks. The benefits of parallel execution can be degraded, or even nullified to where sequential execution is faster, when calls are made to allocate or free memory. This is due to current serialization techniques, which must be employed to prevent collisions when two or more flows of control, i.e., threads, attempt to obtain or free memory areas. This can significantly degrade the performance of parallel programs, forcing unnatural exercises in program design and implementation. These contortions compromise maintainability, extensibility, and are a source of errors. Worse yet, the costs associated with these problems can deter developers from even considering otherwise viable parallel solutions.
In parallel programming, as described above, each thread is assigned a specific unit of work to perform, generally in parallel, and when the work is finished, the threads cease to exist. There is a cost to create a thread, terminate a thread, and to manage a thread. The cost has both machine-cycle components and programming complexity components. The programming complexity components are a source of errors in implementation and design of the software. The prevailing paradigm in the use of threads treats the threads and data differently. There is control flow (threads), and there is data. The resulting dichotomy creates an environment which tends to place fetters on the kinds of solutions envisioned, and creates complexity and resulting error-proneness during implementation.
Further, in a parallel programming environment, where units of work are appended to a regular unit of work queue of another context, and the target context is suspended on a mutex or is about to become suspended on a mutex, processing of units of work from the queue of the target context is conventionally suspended until the mutexes are released. This may not necessarily be an unwanted situation, but the behavior does waste computational time.
Thus, there remains a need in the art of computer processing for further enhancements to conventional unit of work processing techniques, for example, to enhance computational efficiency, notwithstanding that a context may be in resource contention.
The shortcomings of the prior art are overcome and additional advantages are provided through the provision of a computer-implemented method for processing work in a processing context of a computing environment. The method includes: determining, for a processing context comprising a stack identifying waiting resources, whether a last-in listed resource in the stack of waiting resources is available, and if so, resuming processing of a suspended unit of work requiring the last-in listed resource; and determining, otherwise, whether an out of order execution unit of work is available in the context, and if so, processing the out of order execution unit of work while the suspended unit of work awaits the last-in listed resource.
In another aspect, a computer-implemented method for processing work within a computing environment having multiple contexts is provided. This method includes: launching from a first context of the computing environment an out of order execution unit of work on a second context of the computing environment, the launching including adding the out of order execution unit of work to at least one of a regular unit of work queue and an out of order unit of work queue of the second context, wherein the out of order execution unit of work is a designated unit of work can be processed out of sequential order from other units of work queued on the second context; and determining whether the second context is sleeping, and if so, awaking the second context to facilitate processing of the out of order execution unit of work.
In yet another aspect, a computing environment is provided which includes multiple processing contexts coupled in communication for parallel processing of work. At least one processing context of the multiple processing contexts includes a regular unit of work queue and an out of order unit of work queue. The regular unit of work queue stores units of work for sequential first-in first-out processing thereof by the at least one processing context, while the out of order unit of work queue stores designated out of order execution units of work from other contexts. The designated out of order execution units of work can be processed out of order from other units of work in the regular unit of work queue.
In a further aspect, at least one program storage device readable by a machine, tangibly embodying at least one program of instructions executable by the machine to perform a method for processing work in a processing context of a computing environment is provided. The method includes: determining, for a processing context including a stack of waiting resources, whether a last-in listed resource in the stack of waiting resources is available, and if so, resuming processing of a suspended unit of work requiring the last-in listed resource; and determining, otherwise, whether an out of order execution unit of work is available for processing in the context, and if so, processing the out of order execution unit of work while the suspended unit of work awaits the last-in listed resource.
Further, additional features and advantages are realized through the techniques of the present invention. Other embodiments and aspects of the invention are described in detail herein and are considered a part of the claimed invention.
The subject matter which is regarded as the invention is particularly pointed out and distinctly claimed in the claims at the conclusion of the specification. The foregoing and other objects, features, and advantages of the invention are apparent from the following detailed description taken in conjunction with the accompanying drawings in which:
In describing the preferred embodiment of the present invention, reference is made herein to
The system and work management techniques of the present invention incorporating the concepts described further below may be stored on an otherwise conventional computer program or memory storage device, such as a semiconductor chip, a read-only memory, or magnetic media such as a diskette or computer hard drive.
In the structure created by one aspect of the present invention, each thread has its own data space, i.e., memory areas associated with a single thread, that is separated from all other data spaces except where explicitly declared to be common. Use of the invention naturally enables the design and implementation of parallel algorithms with minimal and well defined data space interaction, thus providing low cost, high performance parallelism without necessitating the programmer being an expert in the management of parallelism.
The parallel structure of the present invention provides different stacks, one for each thread, and provides the appearance and function of having different separate global memory, heap space and free zones for each stack.
The grouping in a memory structure of a plurality of planes, all running different threads of a single program structure in parallel, is referred to herein as a “space”. A collection of programs makes a single consistent program structure in such space. Space 230 represents the second level of hierarchy in the parallel processing system of the present invention. A plurality of spaces can also be provided, where each space contains one or more plane memory structures. Each space contains a different program running independently of each other program. Free memory may be designated as common (space) among different spaces, in a manner analogous to that of common (plane) memory. The plurality of spaces represents a third level of hierarchy in the present invention.
Global or heap memory objects not explicitly made common are represented by particular language elements. Such objects, though represented in all planes by the same language elements, are backed by separated memory in each plane. Thus, language elements are automatically instantiated for each thread. This relieves the programmer of the burdensome task of managing and separating such memory objects. The memory constructs of the present invention also provide a disciplined means of sharing information between planes and spaces, relieving the programmer from the burden of providing the discipline.
As shown in
The context indexing structure in particular links an integer identification of each global variable to a unique identification such as a memory address. For example, as shown in
An exchangeable function table, created under IEEE standard 1481-1999, is preferably created in the memory structure of the present invention, with one such function table created for each space. Function tables are depicted in Tables 1 and 2 below wherein a function pointer (FCN Pointer) is established for selected function names (FCN Name) employed in a particular space.
An application program may load a program into each space. The application and the loaded programs each perform a function table exchange. The function table exchange represents an exchange of services between the application and the program loaded in a particular space. All function calls have a context argument in order to find requested data in the common (plane) or common (space) memory. The context conveys where the indexing structure is located. Function calls, by application or loaded programs, include identification of context to locate data in either the data within a plane, considered to be the default location, or the common (plane) or common (space) memory locations.
Delay Calculator Language (DCL) is a language used by many application specific integrated circuit (ASIC) vendors to describe their technologies. These DCL libraries are executable modules dynamically loaded by an application. A well-defined standard is followed by both the application vendors and ASIC vendors. Both the DCL and this interface definition may be employed to establish the system of parallel processing in accordance with the present invention. The DCL system (which consists of a run-time environment, a compiler, and its compiled modules) implements a context system where at most one thread executes on each context. A context is constructed either at the request of the application or the library. In response to a new context request, the DCL run-time environment creates a separate copy of each state variable. State variables include variables created by ASSIGN statements, tables, and module structure. Each state is represented by an array of state variables where each context has its own state variable. For each new context, the system executes the initializing statements on that context such that the state variables are present to known values.
The basic operation of DCL requires that the current context variable (standard structure) be passed to all statements. The context variable provides a complete description of the control flow and data space and plane upon which to execute. The run-time support facility will transparently select appropriate memory objects needed to support application requests and parallel execution of the DCL program. Using DCL, global variables may be created using ASSIGN statements. This permits global variables to be identified by the statement type (ASSIGN) at compile time, and the update to the global variables can be concentrated through a single function.
The present invention separates the ASSIGN results by context, such as an array of ASSIGN variable results where each array element is associated with a context. This will allow parallel reading and writing of ASSIGN variable values without serialization. TABLEDEF statements in DCL read in and search tables of information. The present invention separates these tables by the aforedescribed system of contexts, which permits these tables to be read, searched and updated in a true parallel manner without serialization.
While DCL allows the application to append additional modules called sub-rules to an already existing system, the present invention also separates the sub-rules appended on one space from those appended on another space. This will allow the application to maintain independent views of the various libraries that are loaded. This invention also provides constructs that allow the same state variable to exist on multiple contexts at the request of the library developer, and constructs for forcing serialization at these points. Contexts typically assume state variable independence except where explicitly requested by the library developer. This drastically improves the ease of developing parallel algorithms as only the necessary points of commonality need be scrutinized.
In operation, the present invention achieves an advantage by naturally segregating all activities associated with a thread to a context. Different threads operate on different contexts and therefore do not interact with one another, except when explicitly requested. This removes the serialization limitations that are typical in parallel processing, so that this invention simplifies both the thought process as well as the actual implementation.
The present invention further employs the use of thread contexts to provide non-blocking, efficient storage management for use in parallel environments. The storage manager keeps separate pools of available memory per context, and allocates memory only from those pools to the context in question. Many threads (one per context, as previously described) may simultaneously access the storage manager to obtain or free memory, without execution being blocked most of the time. While prior art practice blocks execution every time more than one thread requires a memory area to be allocated or freed at the same time, the present invention only blocks execution when more than one context has simultaneously exhausted its memory pool, and a call must be made to the system service that allocates memory. The invention preferably obtains a few, large areas of memory from the system, and partitions the memory area as needed by the threads. Since blocking of a thread occurs only if an attempt is made to obtain the few, large areas for that thread while another thread is also obtaining its large areas from the system, in general the performance of the invention far exceeds that of conventional methods. Even if blocked by one thread's call for the system to allocate another large chunk, the present system can still service requests for memory from other threads as long as their associated memory pools still have memory areas in them. Under normal circumstances, the probability is that the parallel application will suffer only a partial blockage of execution, and even then, it will occur seldom.
There are two dimensions to the question of freeing a memory area. If a context frees only memory areas that it allocated, the freeing operation proceeds without blocking the thread needing the area, or any other thread. To minimize the serialization that occurs when one context frees memory areas that were allocated by another context, a list of “deferred frees” is created. When a context frees a memory area which it did not allocate, the invention places this area on a “deferred list”. Each context has a set of deterred lists, and each set of deferred lists has a deferred list for every other context. The memory area is then placed on the deferred list which identifies the context freeing the area and the other context to which it is tentatively freed, and execution continues without blocking. These lists grow until they exceed a metric, which can be set by the application program. When the metric is exceeded, the deferred list for each other context is transferred in a non-blocking manner to the other, receiving, context which now owns it. Each memory area has a mark in it, and the mark indicates which context allocated the area. Once the transfer is complete, the transferring context sets a flag in a known spot of the receiving context, without any blocking.
When a context must allocate memory areas, but before it requests space from the system, it checks to see if it has received any deferred frees from other contexts. If so, it reclaims those memory areas and attempt to satisfy requests from them instead of calling the system service. This eliminates even more blocking.
The reclamation of deferred blocks by receiving contexts is done in a non-blocking manner, and is allowed to be asynchronous in order to avoid blocking. The layout of the control data structures and the order of operations provides that reclamation will be successful in an asynchronous environment, at only the possible cost of missing some reclamations that were added during the processing. These missed reclamations are not lost, but will be recovered on the next reclamation cycle.
In a first situation, if a particular context frees a memory block it does not need, and if that memory block had been pre-identified as being allocated to that same context, it is simply identified as remaining available to that particular context. In a second situation, if a particular context frees a memory block it does not need, and if that memory block had been pre-identified as being allocated from another, different context, it is collected, in the same memory pools of the particular context on a reclamation list corresponding to the other, different context.
Preferably, the available memory blocks from one context and marked to another context are not actually freed and reclaimed by the other context until the other context seeks additional memory blocks. If the other context does not reclaim the memory blocks after a predetermined time period, the one context may reclaim them for use, while still retaining the identification of the other context on those blocks. All of this may take place before either context seeks memory from the main system memory.
Tests of this aspect of the present invention have shown that the parallel processing memory access is up to 20.7 times faster than the conventional prior art method.
Unlike the prior art which treats contexts and data differently, the present invention implements a new paradigm for the use of contexts in a parallel environment. The invention essentially creates a context and captures it, binding it to a data object which, from the programmer's perspective, is abstract. This allows a thread (or flow of control) to be treated as a data object by the software. This has a number of advantages. One advantage is that threads are created once and reused as needed. This avoids thread creation and destruction costs found in prevailing approaches. Another advantage is that threads are data objects, thus eliminating the prevailing dichotomy between control and data, and giving a programmer a greater mental field on which to envision solutions to problems. Another advantage is that because threads are data objects, previously impossible operations are available to a software developer. These operations include, but are not limited to, attaching threads to other data objects (for later use in execution), passing threads (control flows) as parameters, and the like.
This aspect of the present invention implements an abstract data object which has a thread waiting on it. The data object can be passed around and incorporated into the data structures of a program, as can any traditional data object. When desired, the software assigns particular work to the data object, which the waiting thread then wakes up and does. After performing the work, the thread again waits for more work. The work may be assigned from any section of the application, at any desired time. The thread is not destroyed until the application program decides to do so.
This approach greatly simplifies the creation of software that needs to leverage parallel operation by use of threads. By abstracting the thread, burdensome details are removed from the purview of the programmer. By encapsulating a waiting thread as a data object, the programmer has more degrees of freedom and greater range of solutions, because the dichotomy between control flow and the data is bridged.
A second thread, which represents an independent flow of control managed by the program structure separate from the first or “bottle” thread, is identified in
Thus, instead of being destroyed after it completes a single task, the first thread is reused as desired by the program structure. The program structure destroys the first thread only after it completes a desired amount of work.
As noted initially herein, in a parallel environment (such as described above) where units of work are appended to the queue of another context, and that processing context is suspended on a mutex, the work on the queue will wait until the mutex is released. This time that the context is suspended is time that the context could be performing other useful work.
DCL currently has the ability to launch a unit of work on another context. A launch is a technique of giving a context other than the one doing the launching a function to execute. The processing context receiving the work (i.e., the target context) has a queue of pending units of work, and processes the units of work on this queue in order until the queue is empty. When the queue is empty, the target context suspends itself. When another context places a unit of work on an empty queue, the context awakens the suspended context or thread. In accordance with an aspect of the present invention, an out of order execution facility is provided, allowing a programmer to control the computing environment's activity in situations where contexts would otherwise be suspended.
Thus, provided herein is an “out of order execution” designation for work to be processed (generically referred to herein as “units of work”) that allows a program developer the choice of putting units of work on a regular unit of work queue with a special designation that allows the option of the out of order execution of the units of work when a thread or context is either suspended or about to be suspended for a mutex or the traditional in-order processing currently available in DCL. In accordance with an aspect of the present invention, a facility is provided to reliably control the processing contexts, and when the contexts are awoken, in order to make out of order execution of units of work possible. Allowing the computing environment to execute units of work out of order removes potentially many mutexes formerly used to protect each data item or resource, and replaces that structure with a single mutex per context per thread. In a multi-threaded context environment, each context may have N threads, but only one thread is executing at a given instance, i.e., in a WORKING state. Essentially, when a thread is denied access to a resource it requires, the thread will look for other units of work that are assigned to that context. The other units of work may be queued on the stack, or suspended units of work awaiting resources that have just been released. If the current thread finds available units of work, and there exists an available thread for this context, then the current thread will start the available thread working and put itself in a WAITING state. This process continues until there are no threads left. When the list of available threads for a context is exhausted, the current thread may attempt to process the out of order work itself. Thus, an advantage and goal of the present invention is an ability to maintain as many processing engines working as often as possible on units of work, without operating system intervention.
As also shown in
As shown in
After suspending the current unit of work, or assuming that the stack of waiting resources is not empty, then processing inquires whether the last-in listed resource in the stack of waiting resources is now available 845. If “yes”, then the last suspended unit of work is resumed 855, thereby continuing processing of the unit of work 825 as described above. Assuming that the last-in listed resource in the stack of waiting resources is still unavailable, then processing inquires whether there is an out of order execution unit of work available in the out of order unit of work queue for the context 850. If “no”, then the context is again put to SLEEP 820. Otherwise, the out of order execution unit of work undergoes processing 825 as described above.
If the stack of waiting resources for the worker thread in the WORKING state is not empty, then from inquiry 910 processing determines whether the last-in resource in the stack of waiting resources is available 960. If “yes”, then processing of the suspended unit of work awaiting the last-in listed resource is resumed and the work proceeds as described above 930. Assuming that the last-in listed resource on the stack of waiting resources remains unavailable, then processing determines whether there is an out of order execution unit of work available 965. This can include, for example, referencing the out of order unit of work queue for the context. If an out of order execution unit of work is available, then that out of order execution unit of work is processed 930 as described above. Should the out of order unit of work queue be empty, then processing determines whether the stack of waiting resources associated with the worker thread in WORKING state is empty 970. If “no”, then the current worker thread is set to a WAITING state 975, otherwise the current worker thread is set to an IDLE state 920.
As shown, a regular unit of work is launched on the target context 1000 by a first context gaining exclusive access of the target context's regular unit of work queue 1010. This unit of work is then added to the end of the regular unit of work queue 1020, of the target context and processing determines whether the target context is SLEEPING 1030. If “no”, then processing is done 1040; otherwise, the target context is awoken 1050 before completing processing.
An out of order execution unit of work is launched 1060 with a different launch operator as noted above, and with a first context gaining exclusive access to the target context's work queues 1070. The out of order execution unit of work is added to the end of the regular unit of work queue 1080, as well as to the end of the out of order unit of work queue 1090 of the target context. Thereafter, the initiating context determines whether the target context is SLEEPING 1030, and if so, awakens the target context 1050, before completing processing 1040.
Unlocking of a resource 1250 (also referenced in
To summarize, the adaptive scheduling and management of work processing described herein allows one or more units of work to be executed out of order, with no requirement that the data being processed be similar in nature. Using the work processing concepts disclosed herein, the different units of work being processed can be completely unrelated in content, size and processing requirements. The out of order execution concepts presented are intended to maintain a thread in WORKING state by allowing the thread to process other pieces of work when one unit of work becomes stalled.
The parallel software system described herein may be created and stored in a machine, preferably a conventional computer on a computer usable medium, using conventional computer readable code, on an otherwise conventional program storage device, such as a semiconductor ship, a read-only memory, optically read media such as a CD-ROM or DVD-ROM, or magnetic media such as a diskette or computer hard drive.
One example of a computer environment incorporating and using the scheduling and management facility of the present invention is depicted in
As is known, central processing unit 1402 is the controlling center of computing unit 1401 and provides the sequencing and processing facilities for instruction execution, interruption action, timing functions, initial program loading and other machine related functions. The central processing unit executes at least one operating system, which as known, is used to control the operation of the computing unit by controlling the execution of other programs, controlling communication with peripheral devices and controlling use of the computer resources.
Central processing unit 1402 is coupled to main storage 1404, which is directly addressable and provides for high speed processing of data by the central processing unit. Main storage may be either physically integrated with the CPU or constructed in stand alone units.
Main storage 1404 is also coupled to one or more input/output devices 1406. These devices includes, for instance, keyboards, communications controllers, teleprocessing devices, printers, magnetic storage media (e.g., tape, disks), direct access storage devices, and sensor based equipment. Data is transferred from main storage 1404 to input/output devices 1406, and from the input/output devices back to main storage.
In one example, computer environment 1400 is a single system environment, which includes an RS/6000 computer system running an AIX operating system. (RS/6000 and AIX are offered by International Business Machines Corporation). The invention is not limited to such an environment, however. The capabilities of the present invention can be incorporated and used within many types of computer environments and many types of computer systems. For instance, computer environment 1400 can include a UNIX workstation running a UNIX-based operation system. Other variations are also possible and are considered a part of the claimed invention.
Another embodiment of a computer environment incorporating and using the scheduling and management facility of the present invention is depicted in
In one example, a computer environment 1407 includes a plurality of computing units 1408 coupled to one another via a connection 1410. In one example, each unit is a UNIX workstation running a UNIX-based operating system, and the units are coupled to one another via a TCP/IP connection. Each unit includes, for example, a central processing unit, memory and one or more input/output devices, which are well known in the art.
The above-described computer environment in which each unit is a UNIX workstation running a UNIX-based operating system is only one example, however. The processing capability of the present invention can be incorporated and used with any type of computing units, computers, processors, nodes, systems, workstations and/or environments, without departing from the spirit of the present invention.
For instance, in another embodiment, one or more of the units is a PS/2 offered by International Business Machines Corporation. In a further embodiment, one or more of the units is based upon the Enterprise Systems Architecture offered by International Business Machines Corporation. Further, the operating system need not be UNIX-based. For example, the operating system can include the Multiple Virtual Storage (MVS) operating system offered by International Business Machines Corporation. Additionally, connection 1410 need not be TCP/IP. It can be any type of wire connection, token ring or network connection, to name just a few more examples.
In yet a further embodiment, the environment includes a large parallel system with a plurality of units (e.g., 512 nodes) coupled to one another via a network connection, such as a switch. Additionally, in other environments, the units can be of differing types connected to one another via one or more connections. The invention is not limited to a particular number of units coupled together nor the type of units that are coupled.
Again, neither a computing unit nor the invention is limited to the above examples. A computing unit can include other types of nodes, computers, processors, systems, workstations, and/or environments without departing from the spirit of the present invention. All of these types are considered within the scope of the present invention.
Referring now to
A sequence of program instructions or a logical assembly of one or more interrelated modules defined by the recorded program means 1520 direct the computing environment in implementing out of order execution of units of work in accordance with an aspect of the present invention.
In summary, one or more aspects of the present invention can be included in an article of manufacture (e.g., one or more computer program products) having, for instance, computer usable media. The media has therein, for instance, computer readable program code means or logic (e.g., instructions, code, commands, etc.) to provide and facilitate the capabilities of the present invention. The article of manufacture can be included as a part of a computer system or sold separately.
Additionally, at least one program storage device readable by a machine embodying at least one program of instructions executable by the machine to perform the capabilities of the present invention can be provided.
The flow diagrams depicted herein are just examples. There may be many variations to these diagrams or the steps (or operations) described therein without departing from the spirit of the invention. For instance, the steps may be performed in a differing order, or steps may be added, deleted or modified. All of these variations are considered a part of the claimed invention.
Although preferred embodiments have been depicted and described in detail herein, it will be apparent to those skilled in the relevant art that various modifications, additions, substitutions and the like can be made without departing from the spirit of the invention and these are therefore considered to be within the scope of the invention as defined in the following claims.
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|Classification aux États-Unis||718/108, 718/102|
|Classification coopérative||G06F9/526, G06F9/4881|
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|15 sept. 2005||AS||Assignment|
Owner name: INTERNATIONAL BUSINESS MACHINES CORPORATION, NEW Y
Free format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNORS:BEATTY, HARRY JOHN III;ELMENDORF, PETER CLAUDE;LUO, CHEN;REEL/FRAME:016807/0766
Effective date: 20050811
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|26 oct. 2014||LAPS||Lapse for failure to pay maintenance fees|
|16 déc. 2014||FP||Expired due to failure to pay maintenance fee|
Effective date: 20141026