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57-421: The OpenMDAO project is primarily focused on supporting gradient based optimization with analytic derivatives to allow you to explore large design spaces with hundreds or thousands of design variables, but the framework also has a number of parallel computing features that can work with gradient-free optimization, mixed-integer nonlinear programming, and traditional design space exploration. The OpenMDAO framework

114-437: A variable that is shared between them. Without synchronization, the instructions between the two threads may be interleaved in any order. For example, consider the following program: If instruction 1B is executed between 1A and 3A, or if instruction 1A is executed between 1B and 3B, the program will produce incorrect data. This is known as a race condition . The programmer must use a lock to provide mutual exclusion . A lock

171-442: A Workflow to determine exactly how the problem should be solved. OpenMDAO also includes a web-browser-based graphical user interface (GUI) for visual construction, execution, and optimization of models. Parallel computing Parallel computing is a type of computation in which many calculations or processes are carried out simultaneously. Large problems can often be divided into smaller ones, which can then be solved at

228-532: A combination of parallelism and concurrency characteristics. Parallel computers can be roughly classified according to the level at which the hardware supports parallelism, with multi-core and multi-processor computers having multiple processing elements within a single machine, while clusters , MPPs , and grids use multiple computers to work on the same task. Specialized parallel computer architectures are sometimes used alongside traditional processors, for accelerating specific tasks. In some cases parallelism

285-472: A long chain of dependent calculations; there are usually opportunities to execute independent calculations in parallel. Let P i and P j be two program segments. Bernstein's conditions describe when the two are independent and can be executed in parallel. For P i , let I i be all of the input variables and O i the output variables, and likewise for P j . P i and P j are independent if they satisfy Violation of

342-404: A more realistic assessment of the parallel performance. Understanding data dependencies is fundamental in implementing parallel algorithms . No program can run more quickly than the longest chain of dependent calculations (known as the critical path ), since calculations that depend upon prior calculations in the chain must be executed in order. However, most algorithms do not consist of just

399-520: A multi-core processor can issue multiple instructions per clock cycle from multiple instruction streams. IBM 's Cell microprocessor , designed for use in the Sony PlayStation 3 , is a prominent multi-core processor. Each core in a multi-core processor can potentially be superscalar as well—that is, on every clock cycle, each core can issue multiple instructions from one thread. Simultaneous multithreading (of which Intel's Hyper-Threading

456-403: A node), or n-dimensional mesh . Parallel computers based on interconnected networks need to have some kind of routing to enable the passing of messages between nodes that are not directly connected. The medium used for communication between the processors is likely to be hierarchical in large multiprocessor machines. Parallel computers can be roughly classified according to the level at which

513-543: A pipelined processor is a RISC processor, with five stages: instruction fetch (IF), instruction decode (ID), execute (EX), memory access (MEM), and register write back (WB). The Pentium 4 processor had a 35-stage pipeline. Most modern processors also have multiple execution units . They usually combine this feature with pipelining and thus can issue more than one instruction per clock cycle ( IPC > 1 ). These processors are known as superscalar processors. Superscalar processors differ from multi-core processors in that

570-471: A result, shared memory computer architectures do not scale as well as distributed memory systems do. Processor–processor and processor–memory communication can be implemented in hardware in several ways, including via shared (either multiported or multiplexed ) memory, a crossbar switch , a shared bus or an interconnect network of a myriad of topologies including star , ring , tree , hypercube , fat hypercube (a hypercube with more than one processor at

627-412: A single address space ), or distributed memory (in which each processing element has its own local address space). Distributed memory refers to the fact that the memory is logically distributed, but often implies that it is physically distributed as well. Distributed shared memory and memory virtualization combine the two approaches, where the processing element has its own local memory and access to

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684-500: A sufficient amount of memory bandwidth exists. A distributed computer (also known as a distributed memory multiprocessor) is a distributed memory computer system in which the processing elements are connected by a network. Distributed computers are highly scalable. The terms " concurrent computing ", "parallel computing", and "distributed computing" have a lot of overlap, and no clear distinction exists between them. The same system may be characterized both as "parallel" and "distributed";

741-512: A time from multiple threads. A symmetric multiprocessor (SMP) is a computer system with multiple identical processors that share memory and connect via a bus . Bus contention prevents bus architectures from scaling. As a result, SMPs generally do not comprise more than 32 processors. Because of the small size of the processors and the significant reduction in the requirements for bus bandwidth achieved by large caches, such symmetric multiprocessors are extremely cost-effective, provided that

798-457: Is a background assumption. Concurrency and parallelism are in general distinct concepts, but they often overlap – many distributed algorithms are both concurrent and parallel – and thus "sequential" is used to contrast with both, without distinguishing which one. If these need to be distinguished, the opposing pairs sequential/concurrent and serial/parallel may be used. "Sequential algorithm" may also refer specifically to an algorithm for decoding

855-416: Is a programming language construct that allows one thread to take control of a variable and prevent other threads from reading or writing it, until that variable is unlocked. The thread holding the lock is free to execute its critical section (the section of a program that requires exclusive access to some variable), and to unlock the data when it is finished. Therefore, to guarantee correct program execution,

912-608: Is achieved by balancing enhancements to both parallelizable and non-parallelizable components of a task. Furthermore, it reveals that increasing the number of processors yields diminishing returns, with negligible speedup gains beyond a certain point. Amdahl's Law has limitations, including assumptions of fixed workload, neglecting inter-process communication and synchronization overheads, primarily focusing on computational aspect and ignoring extrinsic factors such as data persistence, I/O operations, and memory access overheads. Gustafson's law and Universal Scalability Law give

969-486: Is constructed and implemented as a serial stream of instructions. These instructions are executed on a central processing unit on one computer. Only one instruction may execute at a time—after that instruction is finished, the next one is executed. Parallel computing, on the other hand, uses multiple processing elements simultaneously to solve a problem. This is accomplished by breaking the problem into independent parts so that each processing element can execute its part of

1026-497: Is designed to aid in linking together separate pieces of software for the purpose of combined analyses. It allows users to combine analysis tools (or design codes) from multiple disciplines, at multiple levels of fidelity, and to manage the interaction between them. OpenMDAO is specifically designed to manage the dataflow (the actual data) and the workflow (what code is run when) in conjunction with optimization algorithms and other advanced solution techniques. The development of OpenMDAO

1083-516: Is equivalent to an entirely sequential program. The single-instruction-multiple-data (SIMD) classification is analogous to doing the same operation repeatedly over a large data set. This is commonly done in signal processing applications. Multiple-instruction-single-data (MISD) is a rarely used classification. While computer architectures to deal with this were devised (such as systolic arrays ), few applications that fit this class materialized. Multiple-instruction-multiple-data (MIMD) programs are by far

1140-465: Is known as burst buffer , which is typically built from arrays of non-volatile memory physically distributed across multiple I/O nodes. Computer architectures in which each element of main memory can be accessed with equal latency and bandwidth are known as uniform memory access (UMA) systems. Typically, that can be achieved only by a shared memory system, in which the memory is not physically distributed. A system that does not have this property

1197-429: Is known as a non-uniform memory access (NUMA) architecture. Distributed memory systems have non-uniform memory access. Computer systems make use of caches —small and fast memories located close to the processor which store temporary copies of memory values (nearby in both the physical and logical sense). Parallel computer systems have difficulties with caches that may store the same value in more than one location, with

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1254-552: Is led out of the NASA Glenn Research Center . NASA ’s motivation in supporting the OpenMDAO project stems from the demands of unconventional aircraft concepts like Turbo-Electric distributed propulsion . Although NASA’s focus is on analyzing aerospace applications, the framework itself is general and is not specific to any discipline. OpenMDAO is designed to separate the flow of information (dataflow) from

1311-493: Is necessary, such as semaphores , barriers or some other synchronization method . Subtasks in a parallel program are often called threads . Some parallel computer architectures use smaller, lightweight versions of threads known as fibers , while others use bigger versions known as processes . However, "threads" is generally accepted as a generic term for subtasks. Threads will often need synchronized access to an object or other resource , for example when they must update

1368-429: Is the best known) was an early form of pseudo-multi-coreism. A processor capable of concurrent multithreading includes multiple execution units in the same processing unit—that is it has a superscalar architecture—and can issue multiple instructions per clock cycle from multiple threads. Temporal multithreading on the other hand includes a single execution unit in the same processing unit and can issue one instruction at

1425-529: Is the characteristic of a parallel program that "entirely different calculations can be performed on either the same or different sets of data". This contrasts with data parallelism, where the same calculation is performed on the same or different sets of data. Task parallelism involves the decomposition of a task into sub-tasks and then allocating each sub-task to a processor for execution. The processors would then execute these sub-tasks concurrently and often cooperatively. Task parallelism does not usually scale with

1482-455: Is the computing unit of the processor and in multi-core processors each core is independent and can access the same memory concurrently. Multi-core processors have brought parallel computing to desktop computers . Thus parallelization of serial programs has become a mainstream programming task. In 2012 quad-core processors became standard for desktop computers , while servers have 10+ core processors. From Moore's law it can be predicted that

1539-440: Is transparent to the programmer, such as in bit-level or instruction-level parallelism, but explicitly parallel algorithms , particularly those that use concurrency, are more difficult to write than sequential ones, because concurrency introduces several new classes of potential software bugs , of which race conditions are the most common. Communication and synchronization between the different subtasks are typically some of

1596-561: The speedup from parallelization would be linear—doubling the number of processing elements should halve the runtime, and doubling it a second time should again halve the runtime. However, very few parallel algorithms achieve optimal speedup. Most of them have a near-linear speedup for small numbers of processing elements, which flattens out into a constant value for large numbers of processing elements. The maximum potential speedup of an overall system can be calculated by Amdahl's law . Amdahl's Law indicates that optimal performance improvement

1653-423: The 1970s until about 1986, speed-up in computer architecture was driven by doubling computer word size —the amount of information the processor can manipulate per cycle. Increasing the word size reduces the number of instructions the processor must execute to perform an operation on variables whose sizes are greater than the length of the word. For example, where an 8-bit processor must add two 16-bit integers ,

1710-484: The above program can be rewritten to use locks: One thread will successfully lock variable V, while the other thread will be locked out —unable to proceed until V is unlocked again. This guarantees correct execution of the program. Locks may be necessary to ensure correct program execution when threads must serialize access to resources, but their use can greatly slow a program and may affect its reliability . Locking multiple variables using non-atomic locks introduces

1767-443: The algorithm simultaneously with the others. The processing elements can be diverse and include resources such as a single computer with multiple processors, several networked computers, specialized hardware, or any combination of the above. Historically parallel computing was used for scientific computing and the simulation of scientific problems, particularly in the natural and engineering sciences , such as meteorology . This led to

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1824-486: The amount of power used in a processor. Increasing processor power consumption led ultimately to Intel 's May 8, 2004 cancellation of its Tejas and Jayhawk processors, which is generally cited as the end of frequency scaling as the dominant computer architecture paradigm. To deal with the problem of power consumption and overheating the major central processing unit (CPU or processor) manufacturers started to produce power efficient processors with multiple cores. The core

1881-462: The available cores. However, for a serial software program to take full advantage of the multi-core architecture the programmer needs to restructure and parallelize the code. A speed-up of application software runtime will no longer be achieved through frequency scaling, instead programmers will need to parallelize their software code to take advantage of the increasing computing power of multicore architectures. Main article: Amdahl's law Optimally,

1938-460: The average time it takes to execute an instruction. An increase in frequency thus decreases runtime for all compute-bound programs. However, power consumption P by a chip is given by the equation P = C × V × F , where C is the capacitance being switched per clock cycle (proportional to the number of transistors whose inputs change), V is voltage , and F is the processor frequency (cycles per second). Increases in frequency increase

1995-444: The costs associated with merging data from multiple processes. Specifically, inter-process communication and synchronization can lead to overheads that are substantially higher—often by two or more orders of magnitude—compared to processing the same data on a single thread. Therefore, the overall improvement should be carefully evaluated. From the advent of very-large-scale integration (VLSI) computer-chip fabrication technology in

2052-400: The design of parallel hardware and software, as well as high performance computing . Frequency scaling was the dominant reason for improvements in computer performance from the mid-1980s until 2004. The runtime of a program is equal to the number of instructions multiplied by the average time per instruction. Maintaining everything else constant, increasing the clock frequency decreases

2109-497: The dominant paradigm in computer architecture , mainly in the form of multi-core processors . In computer science , parallelism and concurrency are two different things: a parallel program uses multiple CPU cores , each core performing a task independently. On the other hand, concurrency enables a program to deal with multiple tasks even on a single CPU core; the core switches between tasks (i.e. threads ) without necessarily completing each one. A program can have both, neither or

2166-457: The easiest to parallelize. Michael J. Flynn created one of the earliest classification systems for parallel (and sequential) computers and programs, now known as Flynn's taxonomy . Flynn classified programs and computers by whether they were operating using a single set or multiple sets of instructions, and whether or not those instructions were using a single set or multiple sets of data. The single-instruction-single-data (SISD) classification

2223-436: The first condition introduces a flow dependency, corresponding to the first segment producing a result used by the second segment. The second condition represents an anti-dependency, when the second segment produces a variable needed by the first segment. The third and final condition represents an output dependency: when two segments write to the same location, the result comes from the logically last executed segment. Consider

2280-551: The following functions, which demonstrate several kinds of dependencies: In this example, instruction 3 cannot be executed before (or even in parallel with) instruction 2, because instruction 3 uses a result from instruction 2. It violates condition 1, and thus introduces a flow dependency. In this example, there are no dependencies between the instructions, so they can all be run in parallel. Bernstein's conditions do not allow memory to be shared between different processes. For that, some means of enforcing an ordering between accesses

2337-415: The greatest obstacles to getting optimal parallel program performance. A theoretical upper bound on the speed-up of a single program as a result of parallelization is given by Amdahl's law , which states that it is limited by the fraction of time for which the parallelization can be utilised. Traditionally, computer software has been written for serial computation . To solve a problem, an algorithm

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2394-547: The hardware supports parallelism. This classification is broadly analogous to the distance between basic computing nodes. These are not mutually exclusive; for example, clusters of symmetric multiprocessors are relatively common. A multi-core processor is a processor that includes multiple processing units (called "cores") on the same chip. This processor differs from a superscalar processor, which includes multiple execution units and can issue multiple instructions per clock cycle from one instruction stream (thread); in contrast,

2451-608: The introduction of 32-bit processors, which has been a standard in general-purpose computing for two decades. Not until the early 2000s, with the advent of x86-64 architectures, did 64-bit processors become commonplace. A computer program is, in essence, a stream of instructions executed by a processor. Without instruction-level parallelism, a processor can only issue less than one instruction per clock cycle ( IPC < 1 ). These processors are known as subscalar processors. These instructions can be re-ordered and combined into groups which are then executed in parallel without changing

2508-511: The memory on non-local processors. Accesses to local memory are typically faster than accesses to non-local memory. On the supercomputers , distributed shared memory space can be implemented using the programming model such as PGAS . This model allows processes on one compute node to transparently access the remote memory of another compute node. All compute nodes are also connected to an external shared memory system via high-speed interconnect, such as Infiniband , this external shared memory system

2565-442: The most common type of parallel programs. According to David A. Patterson and John L. Hennessy , "Some machines are hybrids of these categories, of course, but this classic model has survived because it is simple, easy to understand, and gives a good first approximation. It is also—perhaps because of its understandability—the most widely used scheme." Parallel computing can incur significant overhead in practice, primarily due to

2622-474: The number of cores per processor will double every 18–24 months. This could mean that after 2020 a typical processor will have dozens or hundreds of cores, however in reality the standard is somewhere in the region of 4 to 16 cores, with some designs having a mix of performance and efficiency cores (such as ARM's big.LITTLE design) due to thermal and design constraints. An operating system can ensure that different tasks and user programs are run in parallel on

2679-824: The overhead from resource contention or communication dominates the time spent on other computation, further parallelization (that is, splitting the workload over even more threads) increases rather than decreases the amount of time required to finish. This problem, known as parallel slowdown , can be improved in some cases by software analysis and redesign. Applications are often classified according to how often their subtasks need to synchronize or communicate with each other. An application exhibits fine-grained parallelism if its subtasks must communicate many times per second; it exhibits coarse-grained parallelism if they do not communicate many times per second, and it exhibits embarrassing parallelism if they rarely or never have to communicate. Embarrassingly parallel applications are considered

2736-452: The possibility of incorrect program execution. These computers require a cache coherency system, which keeps track of cached values and strategically purges them, thus ensuring correct program execution. Bus snooping is one of the most common methods for keeping track of which values are being accessed (and thus should be purged). Designing large, high-performance cache coherence systems is a very difficult problem in computer architecture. As

2793-495: The possibility of program deadlock . An atomic lock locks multiple variables all at once. If it cannot lock all of them, it does not lock any of them. If two threads each need to lock the same two variables using non-atomic locks, it is possible that one thread will lock one of them and the second thread will lock the second variable. In such a case, neither thread can complete, and deadlock results. Many parallel programs require that their subtasks act in synchrony . This requires

2850-491: The process in which analyses are executed (workflow). It does that by using four specific constructs: Component, Assembly, Driver, and Workflow. The construction of system models begins with wrapping (or writing from scratch) various analysis codes as Components. A group of components is linked together inside an Assembly, specifying the dataflow between them. Once the dataflow is in place, one can select specific Drivers (optimizers, solvers, design of experiments, etc.) and set up

2907-564: The processor must first add the 8 lower-order bits from each integer using the standard addition instruction, then add the 8 higher-order bits using an add-with-carry instruction and the carry bit from the lower order addition; thus, an 8-bit processor requires two instructions to complete a single operation, where a 16-bit processor would be able to complete the operation with a single instruction. Historically, 4-bit microprocessors were replaced with 8-bit, then 16-bit, then 32-bit microprocessors. This trend generally came to an end with

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2964-565: The processors in a typical distributed system run concurrently in parallel. Sequential algorithm In computer science , a sequential algorithm or serial algorithm is an algorithm that is executed sequentially – once through, from start to finish, without other processing executing – as opposed to concurrently or in parallel . The term is primarily used to contrast with concurrent algorithm or parallel algorithm ; most standard computer algorithms are sequential algorithms, and not specifically identified as such, as sequentialness

3021-629: The result of the program. This is known as instruction-level parallelism. Advances in instruction-level parallelism dominated computer architecture from the mid-1980s until the mid-1990s. All modern processors have multi-stage instruction pipelines . Each stage in the pipeline corresponds to a different action the processor performs on that instruction in that stage; a processor with an N -stage pipeline can have up to N different instructions at different stages of completion and thus can issue one instruction per clock cycle ( IPC = 1 ). These processors are known as scalar processors. The canonical example of

3078-440: The same time. There are several different forms of parallel computing: bit-level , instruction-level , data , and task parallelism . Parallelism has long been employed in high-performance computing , but has gained broader interest due to the physical constraints preventing frequency scaling . As power consumption (and consequently heat generation) by computers has become a concern in recent years, parallel computing has become

3135-473: The several execution units are not entire processors (i.e. processing units). Instructions can be grouped together only if there is no data dependency between them. Scoreboarding and the Tomasulo algorithm (which is similar to scoreboarding but makes use of register renaming ) are two of the most common techniques for implementing out-of-order execution and instruction-level parallelism. Task parallelisms

3192-432: The size of a problem. Superword level parallelism is a vectorization technique based on loop unrolling and basic block vectorization. It is distinct from loop vectorization algorithms in that it can exploit parallelism of inline code , such as manipulating coordinates, color channels or in loops unrolled by hand. Main memory in a parallel computer is either shared memory (shared between all processing elements in

3249-576: The use of a barrier . Barriers are typically implemented using a lock or a semaphore . One class of algorithms, known as lock-free and wait-free algorithms , altogether avoids the use of locks and barriers. However, this approach is generally difficult to implement and requires correctly designed data structures. Not all parallelization results in speed-up. Generally, as a task is split up into more and more threads, those threads spend an ever-increasing portion of their time communicating with each other or waiting on each other for access to resources. Once

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