The described technology is directed to the field of filesystems.
The demand for scalable storage resources and the ability to provide rapid access to content stored thereby is a key concern to end-users. Enterprises, businesses, and individuals alike now use large scale filesystems to store data that is remotely accessible via a network. Such filesystems are often accessible via closed (e.g., enterprise) and open (e.g., Internet) networks and allow concurrent access via multiple client devices. Various implementations of large scale filesystems relying on network access have been developed. The primary differences between such filesystems are (1) that they use different protocols for the client devices and servers to communicate to read and write data and (2) that the data and corresponding metadata are stored in different ways.
For some filesystems, the protocol provides access to end-users by implementing APIs through a network, while others are specific to operating systems. Some such operating systems include default programs which may be called to synchronously determine and display filesystem information to an end-user. For example, Unix includes a .du program which return file space usage of a directory.
Users benefit from knowing the amount of storage resources as well as the allocation of those resources to various portions of the filesystem, such as directories, subdirectories, and files in a filesystem hierarchy, in order to facilitate management of the filesystem. For example, administrators can allocate system resources to frequently accessed nodes and can determine if additional storage capacity is required.
Systems administrators find useful various kinds of filesystem queries. For example, on system administrator may wish to generate a list of all files created in the past hour.
The inventors have recognized that conventional filesystems incur significant latency in aggregating metadata attributes of files to obtain hierarchical aggregate metric values (“metric values”) that provide a user with visibility into the filesystem. Traditionally, in tree-structured filesystems, in order to satisfy a request for metrics for a subtree of the filesystem, it has been necessary to systemically and recursively traverse an entire subtree in response to the request. The tree-structured filesystems discussed herein comprise a hierarchical tree of filesystem objects—directories and files—that include a root directory. Each filesystem object contains inode data that includes filesystem administration information. The filesystem object may be directly accessed by the filesystem via filesystem path or address, and the data contained in the inode data may be used by the filesystem to manage the hierarchy.
For example, if a user wants to know how much storage capacity is available in a particular user space, such as in a subtree of the filesystem hierarchy contained by a directory, a conventional filesystem must synchronously aggregate a file size metadata attribute value for each file in each filesystem object in the subtree to return the aggregated value to the user. In another example, if the user wants to know how much storage is dedicated to .crw files in the filesystem, conventional filesystems must synchronously check each file's type and aggregate the size of each that is a .crw file. Not only is does this create an imbalance in system performance, but it imposes a high cost in terms of number of I/O operations. More importantly, it may take hours to return the requested value to the user, depending on the size of the filesystem and its hardware components.
In addition, for conventional filesystems in which numerous users concurrently access the files, the returned values may fail to reflect any modifications to data that occur during the slow scan. Using the prior example, a second user may access the system and delete 2 TB (terabytes) of .crw files in a particular directory. However, if the scan accesses the directory containing those files prior to the deletion and returns the result subsequent to the deletion, that result is inaccurate and will fail to reflect the modified data.
To avoid latency, performance fluctuations, increased I/O costs, and other issues, the inventors have determined that it is desirable to maintain for each directory in a filesystem tree, persistent hierarchical aggregates “metric values” for file attributes of the filesystem objects contained by the subtree defined by that directory. Accordingly, a request for such metrics for a particular subtree can be satisfied without exhaustively traversing each level of the subtree of the filesystem tree structure in response.
A software and hardware facility described herein (“the facility”) addresses these issues by persistently maintaining metrics on directories at different levels within a filesystem tree. The facility may operate with respect to a distributed or monolithic filesystem, such as one maintained by a number of networked nodes in a cluster. In particular, in some embodiments, the facility aggregates attributes of filesystem objects and stores them as metric values in each directory within a tree. In some embodiments, the values stored in a directory represent data summed or otherwise aggregated from filesystem objects contained by an entire subtree of filesystem objects—directories and files—defined by that directory. In some embodiments, the metric values may represent such measures as total space consumed by a filesystem object and all the descendant objects, total number of files within an filesystem object, total data blocks used by a filesystem object and its descendant filesystem objects (if any), etc.
In some embodiments, the metrics stored in a directory containing no other directories is determined by performing an aggregation or other logical operation on attributes of the files contained by the directory. In some embodiments, the metrics stored in other directories are each determined by performing an aggregation or other logical operation on the attributes of the files contained by the directory itself, further aggregated with the corresponding metrics of the child directories. For example, metric values may provide: a most recently accessed filesystem object including all its descendant objects, a most frequently accessed filesystem object in a tree or subtree, a largest filesystem object in set of objects in a tree or subtree, and the like.
By performing in some or all of the ways described above, the facility enables rapid access to metric values based on file attributes and aggregates stored at various levels in the filesystem. Because the metric values for those attributes are maintained in each directory and are updated frequently, the facility typically does not need to traverse significant portions of the filesystem tree in order to determine corresponding metric value.
In various embodiments, the facility includes computer systems and devices including zero or more of each of the following: a central processing unit (“CPU”) for executing computer programs; a computer memory for storing programs and data while they are being used, including the facility and associated data, an operating system including a kernel, and device drivers; a persistent storage device, such as a hard drive or flash drive for persistently storing programs and data; a computer-readable media drive, such as a floppy, CD-ROM, or DVD drive, for reading programs and data stored on a computer-readable medium; and a network connection for connecting the computer system to other computer systems to send and/or receive data, such as via the Internet or another network and its networking hardware, such as switches, routers, repeaters, electrical cables and optical fibers, light emitters and receivers, radio transmitters and receivers, and the like.
While computer systems configured as described above are typically used to support the operation of the facility, those skilled in the art will appreciate that the facility may be implemented using devices of various types and configurations, and having various components. Furthermore, while various embodiments are described in terms of the environment described above, those skilled in the art will appreciate that the facility may be implemented in a variety of other environments including a single, monolithic computer system, as well as various other combinations of computer systems or similar devices connected in various ways.
The application layer of the facility exposes an instance of a web application programming interface (API) 302 (e.g., REST), a network filesystem protocol 304 (NFS), and an application layer network protocol 306 (e.g., SMB). The NFS protocol 304 is an application level protocol used to access the facility over a network, such as the Internet. The application layer network protocol 306 may be used to communicate with other nodes in the facility, accessible by the NFS 304. In some embodiments, the application layer includes protocols such as http, ftp, scp, rsync, afp, afs, or any other application layer protocol capable of providing network-level access to the facility. Any of the aforementioned protocols are considered reasonable variations to the illustrated protocols and may be used in addition to or in place of those protocols.
An OS layer implements a core filesystem 308. To access stored data, the core filesystem 308 references a location (e.g., in a protected storage unit) which is used by the address abstraction layer to retrieve the requested data. Accordingly, the address abstraction layer can include a data storage map 312 that links the referenced location to a particular node and associated disc (e.g., see
The facility also includes the kernel layer that translates the filesystem call (for the requested data) into instructions for hardware components. The hardware components may be located in a hardware layer and may include a plurality of storage devices 315 (e.g., disc1, disc2, disc3) that can be distributed across multiple storage nodes.
In some embodiments, the facility manages metric requests for filesystem objects through the web API 302. These requests are stateless in order to account for various platforms on which filesystem may be implemented. Accordingly, calls made from a client device, such as devices 102 in
Each of the metric requests within the table typically returns a value indicating an aggregate value of attributes for a collection of files contained by a directory within the facility. In some embodiments, the metric requests return integer values for aggregated attributes of a file in the facility. The capacity usage and the moving capacity usage may be in units of bytes and, in some embodiments, include 4096-byte data blocks. Some of the metrics maintained by the facility are aggregations on filesystem object attributes of types other than integer. For example, in some embodiments, the facility maintains a recent access (“raccess”) time metric based on applying a latest( ) aggregation function to an access time (“atime”) attribute maintained for each descendant filesystem object. In some embodiments, the metrics are checksums.
When a metric request from a client is received for data stored by the facility, the request is eventually received at a node within the cluster. For example, the request may be received through a REST_API 302 on a REST server (not shown), which is interfaced with the local filesystem 308. The facility retrieves the requested data, such as a metric value, from a particular disc 315 on a node, provided at the address (312) reference by the filesystem 308, and then returns the requested data to the client. In some embodiments, individual metric values for a single filesystem object may be returned. When a request is received for a directory having child directories, all metric values for the entire subtree defined by the directory are returned in response to a single request from a client in some embodiments. The client can parse the values in the response message in order to identify and display a specific metric value for a particular filesystem object to the user. In various embodiments, the response message is formatted in JavaScript Object Notation (JSON), extensible markup language (XML), or other data exchange language.
In some embodiments, the initial request call (e.g., GET, PUT, POST, DELETE) from a client may include a plurality of parameters for the value of the metrics in the response. For example, in one parameter the client is able to indicate a maximum number of “directory entries” to return for a filesystem object. The directory entries may include metric values for the directory and any descendant directories or files, such as those within aa subtree defined by the directory. The returned values may include an aggregate values for the directory as well as any descendant directories. In another parameter, the client is able to provide an order to sort the returned directory entries for the directory. The order may be based on a retrieved metric value determined by aggregating an attribute of one or more files contained by the directory and any descendant directories. For example, the client may select to sort the returned directory entries based on the storage capacity used (e.g. the number of blocks in the facility) by that filesystem object and descendent objects. This parameter mainly pertains to sorting the directory entries corresponding to descendant directories of the requested directory since the requested directory includes the aggregate value of blocks used by each returned directory entry. Additional parameters may include.
In particular, each filesystem object that is a directory 402, 404, 406, 408, 410, and 412 contains metadata and other data unique to the directory which characterizes files in that directory. The other unique data includes metric values of aggregated attributes for each file in, or “contained” by, the directory, along with information viable to access the contents of each of those files.
Each filesystem object that is a file 414 in the filesystem tree also contains metadata and one or more attributes characterizing that file, which may be aggregated and stored as a metric value in the directory under which that file is located in the filesystem tree. The metadata, aggregated values and other attributes may be stored in an inode portion of the filesystem object, which is later discussed with reference to
For filesystem objects which are directories, the inode data 510 includes both the attributes of the associated directory and current metric values of aggregated attributes for each filesystem object contained by that directory. For example, the inode portion of a directory corresponding to the directory's attributes includes data such as an owner, permissions, number of links to the directory, the size of the directory in bytes or blocks (my_cap_usage), file count in the associated directory (my_num_files), most recent access time (atime), minimum access time, number of times accessed, creation time, modification time, and change (edit) time. The inode portion of the directory corresponding to the aggregate metric values includes data such as, for example, total number of files in and contained by the directory (num_files), total block usage by the directory and files contained by that directory (capacity_usage), total number of directories contained by the directory (num_directories), and various other metrics within the scope of the art. In some embodiments, the inode data also includes metric values corresponding to the Input/Output (I/O) operations performed on the associated directory (or any filesystem object contained therein) and the resource consumption to perform those operations. In some embodiments, the operations include a number of accesses, number of disk actions for accesses, number of memory accesses for accesses, and number of blocks consumed.
For filesystem objects which are files, the inode data 510 may indicate file attributes such as a last access date (file_access), a name (file_name), a type (file_type), and a size (file_size). The file access time may include a date and/or timestamp indicating the last time the file was accessed by a client. The file type may indicate the format in which the file is stored. The file size may indicate the number of bytes, kilobytes or data blocks used to store the file.
The aggregate metrics stored in the inode data for each filesystem object reflect a current state of the files or file contained by that filesystem object, including the corresponding attributes of those files. The aggregate metrics stored in the inode data for each directory also include aggregated values for file attributes of each file contained by that directory. Accordingly, each time that a file contained by a directory or descendant directory of that directory changes, the aggregate metrics in the inode data of the directory are also timely updated to reflect those changes. For example, to reflect the current state of attributes for files contained in a directory of a filesystem tree, the metric values stored in the inode data may be updated (i.e., reconciled) each time that an change is made to a file in that filesystem tree. Accordingly, there are times when updates to one directory or file may not be immediately reflected in all of that directory or file's ancestors. If the updates have not been applied to a particular ancestor directory, the unreconciled data for that directory is reflected in a descendant filesystem object from where the change originated. If the updates have been applied to that directory, an unreconciled value and reconciled value in the descendant filesystem object from where the change originated can reflect it. For example, in some embodiments, if the unreconciled value and reconciled value are equal, this indicates that the metric values in the parent directory's inode data fully reflect the filesystem object's metrics. Maintaining knowledge of whether the attributes for a filesystem object are current or not can provide additional visibility into that filesystem tree. Accordingly, a reconciled value and an unreconciled value corresponding to each attribute in a directory may be stored in the inode data. In some embodiments, the metric values for any given directory are not returned to a client if a descendant directory indicates that there is unreconciled data requiring an update in that directory.
Each change or update to an individual file in a filesystem tree is reflected in the changes to the attributes stored in the inode data of that filesystem object and in any ancestor directories with which that filesystem object may be associated. This updating may be performed up the filesystem tree until the metric values corresponding the changed attribute stored in the root directory's inode data are updated. In some embodiments, the facility asynchronously updates each filesystem object with respect to a received change or alteration to a file stored in the filesystem tree. In some embodiments, the facility systematically traverses the filesystem tree to update each filesystem object. In some such embodiments, the facility continuously updates filesystem objects in a filesystem tree to reflect changes to any file or directory contained in that filesystem tree. As previously mentioned, in some embodiments, the filesystem objects in the filesystem tree are synchronously updated with respect to received changes or alterations to files stored in those filesystem trees. So, updates to filesystem objects in the facility may only be performed each time a change to a filesystem object is received for that respective tree. Various other methods for determining when to update filesystem objects and corresponding inode data stored in those filesystem objects are further discussed with reference to
In some embodiments, the inode data 510 includes a value of a metric unreconciled to a parent directory, such as an unreconciled to parent block count and reconciled to parent block count which, when equal, indicate that all updates to the parent directory containing that filesystem object are current.
For example, if an attribute of a file (e.g., file_size) is updated in response to changes made to that file, then the updated file_size attribute will also need to be reflected in the metric corresponding to that file_size attribute in the parent directory and in any ancestor directory of that file. To indicate when the updated attribute is not yet reflected in the corresponding metric of the parent directory, a value of the metric unreconciled in the parent directory indicates a different value than the metric reconciled to parent directory. Each attribute of the file for which a metric value is stored in a parent directory can maintain these unreconciled to parent and reconciled to parent values. When these values differ, it indicates to the facility that the parent directory of that file needs to be updated by the difference between the values during a subsequent I/O operation.
In some embodiments, the facility maintains a separate “list” of filesystem objects having unreconciled data in a filesystem tree instead of, or in addition to, indicating the value of the unreconciled to parent data in the inode data of each filesystem object. In some embodiments, the facility maintains this separate list in volatile memory. Maintaining this list and performing a reconciliation process due to block count, or other attribute changes in a filesystem object, are further discussed with reference to
Referring back to
In
For a large filesystem tree structure including many directories, performing an aggregation operation on all filesystem objects in that filesystem tree can consume considerable processing resources and elapsed time to determine a metric value for a given directory. However, as previously discussed, these additional metrics that include aggregate values of file attributes, are stored in the inode data for each directory. The inode data may be updated each time a filesystem object is updated. This inode data maintains a relatively accurate indication of the attributes for a given directory, even if recent changes to one or more files in that directory are not yet reflected. Accordingly, this allows for rapid and easy access to current filesystem attributes, which may facilitate performance and allocation of resources in both large and scalable filesystems
The filesystem tree in each of
Once the corresponding metrics in the inode data for FILE2724 have been updated in directory /D 716, the next associated ancestor filesystem object in the file path from FILE2724 to the root directory (not shown), is added to the set 722 of dirty filesystem objects being tracked for updating. So, after reconciliation is performed in
In various embodiments, the facility stores the set 722 of dirty filesystem objects either as persistent data (on-disk) or volatile data (in-memory), each of which has its advantages and disadvantages. For example, where the set 722 stored in persistent storage, no initial inode scan is necessary at startup, but updates to each filesystem object are slower than when the set 722 is maintained in volatile storage. Where the set 722 is stored in volatile storage, normal operations are performed faster, but an initial inode scan is required at startup.
In some embodiments, if more than one filesystem object is located in the set 722, the filesystem object having the lowest rank (e.g., farthest file path length from the root directory) in the filesystem tree may be updated first such that its attributes indicate the updated cap_usage value. This ensures that all updates to filesystem objects in the filesystem tree are not repeated, which improves the efficiency of the facility. The filesystem objects within the set 722 of filesystem objects to be updated may be reconciled in an iterative process. Additionally, the filesystem objects in the set 722 may be sorted in order to remove duplicates and to update entries having the lowest rank first. This is done in order to avoid unnecessary and repeated updates to a filesystem object whose descendent also is included in the set 722.
As discussed previously, any updates to a filesystem object may be reflected in hierarchical aggregates indicated by the metric values stored in the inode data for each filesystem object. Once a filesystem object is updated, the filesystem object's entry in the set 722 is removed and the filesystem object's parent directory is added to the set 722. Additionally, the reconciled and unreconciled values for that attribute are updated to reflect the unreconciled data in that filesystem object's parent directory. The metric values indicated in each filesystem object may be updated in a direct path of the directories from the updated file to the root directory. Thus, only the filesystem objects in the path of the file to the root directory need be updated. Unaffected filesystem objects and subtrees are therefore not traversed or updated. So, system resource consumption may be reduced, relative to the time required for iterative scans of the full filesystem tree, and metric values of filesystem object attributes may be updated more quickly since system resources are not allocated to perform unnecessary tasks.
In some embodiments, where the facility receives a request for metric values in a “dirty” filesystem object (i.e., in set 722, or a descendant thereof in set 722), the facility updates only the filesystem object (and any descendants) in the set 722 prior to servicing the request. In some embodiments, the facility updates all filesystem objects in the set 722 prior to servicing a request by a user. In such embodiments, the facility can ensure the most up-to-date metrics for the request. To alternatively determine whether a filesystem object (or descendant thereof) is not completely current, the facility can also check the reconciled and unreconciled count for each descendant of that filesystem object. If any counts differ, the facility can then either update each of the descendants to the requested filesystem object prior to servicing the request, or update the entire tree to the root directory, as previously mentioned,
As shown in
Once directories /B 708 and /C 710 are processed, as illustrated in
An alternative approach to update the aggregate metric value in, for example, directory /A 702 (in
Accordingly, in some embodiments, the facility updates a directory's aggregated metric value for a specific attribute by summing a difference between the reconciled and unreconciled values in a child directory with the metric value previously stored in that directory. In another example, referring back to
Though the aforementioned embodiments maintain a separate list (e.g., the set of filesystem objects 722) to update metrics in the facility, the metrics can be updated by other methods which do not include such a list or associated filesystem object ranks. For example, in some embodiments, the facility ensures the currency of all of the metrics in the entire filesystem tree each time a filesystem object is updated. In effect, each time a filesystem object is updated, the system traverses the filesystem tree in which that filesystem object is stored to the root directory and updates the metrics in each directory of the direct path from the filesystem object location in the filesystem tree until the root directory is updated to also reflect the update. In some embodiments, an asynchronous, or background process continually traverses trees accumulating and updating metric values for file attributes in the filesystem objects.
To handle filesystem object updates such as deletion of a file or directory from a filesystem tree, the reconciled and unreconciled data for each ancestor directory can be updated in a similar manner as previously described with reference to
For filesystem object attributes not having integer values, metric values can be updated by aggregation functions (e.g., latest( )) which compare a prior value of that respective value in each filesystem object being updated. For example, the attribute can include an raccess attribute identifying a most recent access date/time (“atime”) of the filesystem object. The facility can compare the previous raccess date in a directory with an updated raccess date received from a descendant filesystem object, as opposed to looking at the raccess dates of all of the descendants in a subtree defined by that directory. For certain metrics and/or aggregation functions, a new aggregation can be performed across all filesystem objects in a tree or subtree in order to update metric values.
In some embodiments, the facility retrieves information about characteristics of a node, a cluster, or the entire filesystem from statistical sampling of a filesystem tree. The facility chooses the fraction of samples taken from files in each directory of the filesystem tree in such a way as to achieve a sample population that is appropriately distributed across the filesystem tree. In some embodiments, the facility determines the overall number of samples taken to satisfy a desired confidence level in the results.
To avoid the aforementioned errors, the facility uses a fair sampling approach in which it uses the metric values stored in the inode data of the directories to weight these directories in a manner that determines the likelihood that each file sample gets taken from each directory. By weighting the directories in this way, the facility achieves an improved representative sampling of the composition of the data in the filesystem tree structure. Additionally, since any attribute of a filesystem object can be utilized to weight the directories, the representative sampling is improved for each individual filesystem attribute.
To perform fair sampling on the filesystem subtree 800, the facility uses, for example, a NUM_FILES attribute associated with each directory to establish sampling frequency weights for each directory of the filesystem tree. The NUM_FILES value is the total number of files associated with a directory summed with the files in all descendant directories. Using this NUM_FILES attribute therefore answers the question, “what percentage of files are music files?” So, the total number of files to be sampled between the two directories /USER1808 and /USER2812 for the root directory /USR 802 is 1004 since the NUM_FILES attribute 806 for the root directory indicates “1005” and the my_num_files attribute for the root directory indicates “1”. By storing the aggregate file count in the inode data (e.g., 816, 820) of each directory, the system can quickly query those directories and determine that the files under directory /USER1808 should be sampled “4” times out of every “1004” samples, or approximately 0.4% of the time, and the files under directory /USER2812 should be sampled “1000” times out of every “1004” samples, or 99.6% of the time. If one hundred samples are taken in this manner, the sample results would indicate ˜99% of the files are music files in the root directory /USR 802. This result is more accurate than the 50% music files calculated without using the metric values corresponding the aggregated attributes of the files contained by the root directory /USR 802. This type of weighted sampling may be applied to any attribute of files within a filesystem tree in the facility and may facilitate improved visibility into the files contained by that tree. For example, weighted sampling may be used to determine a file size for two directories including unbalanced average file sizes, e.g., one includes .mp4 files and the other includes .doc files.
In some embodiments, the graphical user interface indicates metric values for operations performed in a directory. For example, a listing of the top I/Os per second (“IOPS”) activity 916 within the selected directory 904 is displayed. Each of these directory entries includes the path of the file at which the I/O is performed along with the number of I/O operations performed per second with respect to that file. A user can select parameters for returning the IOPS activity as well. For example, in some embodiments, the user can elect to view any IOPS namespace activity 920 related to reads and/or writes to namespaces or directories in the selected directory. In other embodiments, the user may elect to view IOPS file activity 922 related to files contained in the directories of the root directory.
The graphical representation of the metric values can include the directories of first-level (e.g., rank 1) that are children of the root directory “/”, represented by the columns 918 of the graphic. The height (y-axis) 924, 926, 928, and 930, of each directory rectangle reflects the aggregate number of files or storage capacity used by that directory in relation to its parent directory. Accordingly, some of the smaller-size directories may not be visible in the graphical representation of the root directory shown in
By providing enhanced visibility into the attributes of a data storage filesystem aggregated and stored at different levels in the filesystem hierarchy may facilitate management of the filesystem. It may be desirable to acquire analytics on portions or the entirety of a data storage filesystem tree. Analytics may relate to system capacity such as space usage by subdirectories, file counts, what is the newest/oldest file in a directory/tree, what file is most/least accessed, a histogram of file sizes, a breakdown of characteristics by file type such as space usage, file count, and the like. Other analytics may relate to performance such as transfer rates, I/O operations such as total operations, timing of I/O operations, latency and the like. This information may be used by system administrators for purposes such as: allocation of most frequently accessed data to data storage devices having a fast response time; customized backups based on date of most recent modification or change; resource planning based on total block usage by filesystem; and the like.
Live metrics of aggregate file attributes are therefore stored by the facility in the inode of a directory in the filesystem tree structure. The metric values are live in the sense that they are updated with respect to received updates for any filesystem object within the tree structure. Though each metric value may not reflect the most recent update to a particular directory, those metric values are current, or relatively current. Accordingly, the requested metric values are returned with a very low degree of latency unlike external systems. In some embodiments, the metrics are gathered from a recent system snapshot, where snapshot frequency and resulting latency may be set by a system administrator.
In some embodiments, in addition to storing metrics in the inodes of directories that are aggregated from the filesystem objects of the subtree defined by each directory, the facility also stores metrics in the inodes of files that relate solely to each file. The file metrics are copies of the file's attributes. In some embodiments, files can be added to the set of filesystem objects to be updated, as discussed in
In various embodiments, this information may facilitate the understanding of additional filesystem characteristics that may not be embedded in metadata such as: what percent of space within the filesystem is consumed by particular types of file (e.g., music files), how many files are owned or controlled by, or were created by, a particular user, information relative to additional user specified attributes (e.g., client or patient names) which may be embedded into file name structure, tags in file header data and the like.
From the foregoing, it will be appreciated that specific embodiments of the invention have been described herein for purposes of illustration, but that various modifications may be made without deviating from the scope of the invention. Accordingly, the invention is not limited except as by the appended claims.
This application claims the benefit of provisional application Nos. 61/982,926 and 61/982,931, both filed on Apr. 23, 2014, each of which is hereby incorporated by reference in its entirety.
Number | Date | Country | |
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61982926 | Apr 2014 | US | |
61982931 | Apr 2014 | US |