CUDA C/C++ Basics Supercomputing 2011 Tutorial
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Introduction to Multi-Threading and Vectorization Matti Kortelainen Larsoft Workshop 2019 25 June 2019 Outline
Introduction to multi-threading and vectorization Matti Kortelainen LArSoft Workshop 2019 25 June 2019 Outline Broad introductory overview: • Why multithread? • What is a thread? • Some threading models – std::thread – OpenMP (fork-join) – Intel Threading Building Blocks (TBB) (tasks) • Race condition, critical region, mutual exclusion, deadlock • Vectorization (SIMD) 2 6/25/19 Matti Kortelainen | Introduction to multi-threading and vectorization Motivations for multithreading Image courtesy of K. Rupp 3 6/25/19 Matti Kortelainen | Introduction to multi-threading and vectorization Motivations for multithreading • One process on a node: speedups from parallelizing parts of the programs – Any problem can get speedup if the threads can cooperate on • same core (sharing L1 cache) • L2 cache (may be shared among small number of cores) • Fully loaded node: save memory and other resources – Threads can share objects -> N threads can use significantly less memory than N processes • If smallest chunk of data is so big that only one fits in memory at a time, is there any other option? 4 6/25/19 Matti Kortelainen | Introduction to multi-threading and vectorization What is a (software) thread? (in POSIX/Linux) • “Smallest sequence of programmed instructions that can be managed independently by a scheduler” [Wikipedia] • A thread has its own – Program counter – Registers – Stack – Thread-local memory (better to avoid in general) • Threads of a process share everything else, e.g. – Program code, constants – Heap memory – Network connections – File handles -
Kernel Methods for Knowledge Structures
Kernel Methods for Knowledge Structures Zur Erlangung des akademischen Grades eines Doktors der Wirtschaftswissenschaften (Dr. rer. pol.) von der Fakultät für Wirtschaftswissenschaften der Universität Karlsruhe (TH) genehmigte DISSERTATION von Dipl.-Inform.-Wirt. Stephan Bloehdorn Tag der mündlichen Prüfung: 10. Juli 2008 Referent: Prof. Dr. Rudi Studer Koreferent: Prof. Dr. Dr. Lars Schmidt-Thieme 2008 Karlsruhe Abstract Kernel methods constitute a new and popular field of research in the area of machine learning. Kernel-based machine learning algorithms abandon the explicit represen- tation of data items in the vector space in which the sought-after patterns are to be detected. Instead, they implicitly mimic the geometry of the feature space by means of the kernel function, a similarity function which maintains a geometric interpreta- tion as the inner product of two vectors. Knowledge structures and ontologies allow to formally model domain knowledge which can constitute valuable complementary information for pattern discovery. For kernel-based machine learning algorithms, a good way to make such prior knowledge about the problem domain available to a machine learning technique is to incorporate it into the kernel function. This thesis studies the design of such kernel functions. First, this thesis provides a theoretical analysis of popular similarity functions for entities in taxonomic knowledge structures in terms of their suitability as kernel func- tions. It shows that, in a general setting, many taxonomic similarity functions can not be guaranteed to yield valid kernel functions and discusses the alternatives. Secondly, the thesis addresses the design of expressive kernel functions for text mining applications. A first group of kernel functions, Semantic Smoothing Kernels (SSKs) retain the Vector Space Models (VSMs) representation of textual data as vec- tors of term weights but employ linguistic background knowledge resources to bias the original inner product in such a way that cross-term similarities adequately con- tribute to the kernel result. -
Unit: 4 Processes and Threads in Distributed Systems
Unit: 4 Processes and Threads in Distributed Systems Thread A program has one or more locus of execution. Each execution is called a thread of execution. In traditional operating systems, each process has an address space and a single thread of execution. It is the smallest unit of processing that can be scheduled by an operating system. A thread is a single sequence stream within in a process. Because threads have some of the properties of processes, they are sometimes called lightweight processes. In a process, threads allow multiple executions of streams. Thread Structure Process is used to group resources together and threads are the entities scheduled for execution on the CPU. The thread has a program counter that keeps track of which instruction to execute next. It has registers, which holds its current working variables. It has a stack, which contains the execution history, with one frame for each procedure called but not yet returned from. Although a thread must execute in some process, the thread and its process are different concepts and can be treated separately. What threads add to the process model is to allow multiple executions to take place in the same process environment, to a large degree independent of one another. Having multiple threads running in parallel in one process is similar to having multiple processes running in parallel in one computer. Figure: (a) Three processes each with one thread. (b) One process with three threads. In former case, the threads share an address space, open files, and other resources. In the latter case, process share physical memory, disks, printers and other resources. -
2.2 Kernel and Range of a Linear Transformation
2.2 Kernel and Range of a Linear Transformation Performance Criteria: 2. (c) Determine whether a given vector is in the kernel or range of a linear trans- formation. Describe the kernel and range of a linear transformation. (d) Determine whether a transformation is one-to-one; determine whether a transformation is onto. When working with transformations T : Rm → Rn in Math 341, you found that any linear transformation can be represented by multiplication by a matrix. At some point after that you were introduced to the concepts of the null space and column space of a matrix. In this section we present the analogous ideas for general vector spaces. Definition 2.4: Let V and W be vector spaces, and let T : V → W be a transformation. We will call V the domain of T , and W is the codomain of T . Definition 2.5: Let V and W be vector spaces, and let T : V → W be a linear transformation. • The set of all vectors v ∈ V for which T v = 0 is a subspace of V . It is called the kernel of T , And we will denote it by ker(T ). • The set of all vectors w ∈ W such that w = T v for some v ∈ V is called the range of T . It is a subspace of W , and is denoted ran(T ). It is worth making a few comments about the above: • The kernel and range “belong to” the transformation, not the vector spaces V and W . If we had another linear transformation S : V → W , it would most likely have a different kernel and range. -
23. Kernel, Rank, Range
23. Kernel, Rank, Range We now study linear transformations in more detail. First, we establish some important vocabulary. The range of a linear transformation f : V ! W is the set of vectors the linear transformation maps to. This set is also often called the image of f, written ran(f) = Im(f) = L(V ) = fL(v)jv 2 V g ⊂ W: The domain of a linear transformation is often called the pre-image of f. We can also talk about the pre-image of any subset of vectors U 2 W : L−1(U) = fv 2 V jL(v) 2 Ug ⊂ V: A linear transformation f is one-to-one if for any x 6= y 2 V , f(x) 6= f(y). In other words, different vector in V always map to different vectors in W . One-to-one transformations are also known as injective transformations. Notice that injectivity is a condition on the pre-image of f. A linear transformation f is onto if for every w 2 W , there exists an x 2 V such that f(x) = w. In other words, every vector in W is the image of some vector in V . An onto transformation is also known as an surjective transformation. Notice that surjectivity is a condition on the image of f. 1 Suppose L : V ! W is not injective. Then we can find v1 6= v2 such that Lv1 = Lv2. Then v1 − v2 6= 0, but L(v1 − v2) = 0: Definition Let L : V ! W be a linear transformation. The set of all vectors v such that Lv = 0W is called the kernel of L: ker L = fv 2 V jLv = 0g: 1 The notions of one-to-one and onto can be generalized to arbitrary functions on sets. -
Parallel Computing
Parallel Computing Announcements ● Midterm has been graded; will be distributed after class along with solutions. ● SCPD students: Midterms have been sent to the SCPD office and should be sent back to you soon. Announcements ● Assignment 6 due right now. ● Assignment 7 (Pathfinder) out, due next Tuesday at 11:30AM. ● Play around with graphs and graph algorithms! ● Learn how to interface with library code. ● No late submissions will be considered. This is as late as we're allowed to have the assignment due. Why Algorithms and Data Structures Matter Making Things Faster ● Choose better algorithms and data structures. ● Dropping from O(n2) to O(n log n) for large data sets will make your programs faster. ● Optimize your code. ● Try to reduce the constant factor in the big-O notation. ● Not recommended unless all else fails. ● Get a better computer. ● Having more memory and processing power can improve performance. ● New option: Use parallelism. How Your Programs Run Threads of Execution ● When running a program, that program gets a thread of execution (or thread). ● Each thread runs through code as normal. ● A program can have multiple threads running at the same time, each of which performs different tasks. ● A program that uses multiple threads is called multithreaded; writing a multithreaded program or algorithm is called multithreading. Threads in C++ ● The newest version of C++ (C++11) has libraries that support threading. ● To create a thread: ● Write the function that you want to execute. ● Construct an object of type thread to run that function. – Need header <thread> for this. ● That function will run in parallel alongside the original program. -
Threading SIMD and MIMD in the Multicore Context the Ultrasparc T2
Overview SIMD and MIMD in the Multicore Context Single Instruction Multiple Instruction ● (note: Tute 02 this Weds - handouts) ● Flynn’s Taxonomy Single Data SISD MISD ● multicore architecture concepts Multiple Data SIMD MIMD ● for SIMD, the control unit and processor state (registers) can be shared ■ hardware threading ■ SIMD vs MIMD in the multicore context ● however, SIMD is limited to data parallelism (through multiple ALUs) ■ ● T2: design features for multicore algorithms need a regular structure, e.g. dense linear algebra, graphics ■ SSE2, Altivec, Cell SPE (128-bit registers); e.g. 4×32-bit add ■ system on a chip Rx: x x x x ■ 3 2 1 0 execution: (in-order) pipeline, instruction latency + ■ thread scheduling Ry: y3 y2 y1 y0 ■ caches: associativity, coherence, prefetch = ■ memory system: crossbar, memory controller Rz: z3 z2 z1 z0 (zi = xi + yi) ■ intermission ■ design requires massive effort; requires support from a commodity environment ■ speculation; power savings ■ massive parallelism (e.g. nVidia GPGPU) but memory is still a bottleneck ■ OpenSPARC ● multicore (CMT) is MIMD; hardware threading can be regarded as MIMD ● T2 performance (why the T2 is designed as it is) ■ higher hardware costs also includes larger shared resources (caches, TLBs) ● the Rock processor (slides by Andrew Over; ref: Tremblay, IEEE Micro 2009 ) needed ⇒ less parallelism than for SIMD COMP8320 Lecture 2: Multicore Architecture and the T2 2011 ◭◭◭ • ◮◮◮ × 1 COMP8320 Lecture 2: Multicore Architecture and the T2 2011 ◭◭◭ • ◮◮◮ × 3 Hardware (Multi)threading The UltraSPARC T2: System on a Chip ● recall concurrent execution on a single CPU: switch between threads (or ● OpenSparc Slide Cast Ch 5: p79–81,89 processes) requires the saving (in memory) of thread state (register values) ● aggressively multicore: 8 cores, each with 8-way hardware threading (64 virtual ■ motivation: utilize CPU better when thread stalled for I/O (6300 Lect O1, p9–10) CPUs) ■ what are the costs? do the same for smaller stalls? (e.g. -
Parallel Programming with Openmp
Parallel Programming with OpenMP OpenMP Parallel Programming Introduction: OpenMP Programming Model Thread-based parallelism utilized on shared-memory platforms Parallelization is either explicit, where programmer has full control over parallelization or through using compiler directives, existing in the source code. Thread is a process of a code is being executed. A thread of execution is the smallest unit of processing. Multiple threads can exist within the same process and share resources such as memory OpenMP Parallel Programming Introduction: OpenMP Programming Model Master thread is a single thread that runs sequentially; parallel execution occurs inside parallel regions and between two parallel regions, only the master thread executes the code. This is called the fork-join model: OpenMP Parallel Programming OpenMP Parallel Computing Hardware Shared memory allows immediate access to all data from all processors without explicit communication. Shared memory: multiple cpus are attached to the BUS all processors share the same primary memory the same memory address on different CPU's refer to the same memory location CPU-to-memory connection becomes a bottleneck: shared memory computers cannot scale very well OpenMP Parallel Programming OpenMP versus MPI OpenMP (Open Multi-Processing): easy to use; loop-level parallelism non-loop-level parallelism is more difficult limited to shared memory computers cannot handle very large problems An alternative is MPI (Message Passing Interface): require low-level programming; more difficult programming -
Intel's Hyper-Threading
Intel’s Hyper-Threading Cody Tinker & Christopher Valerino Introduction ● How to handle a thread, or the smallest portion of code that can be run independently, plays a core component in enhancing a program's parallelism. ● Due to the fact that modern computers process many tasks and programs simultaneously, techniques that allow for threads to be handled more efficiently to lower processor downtime are valuable. ● Motive is to reduce the number of idle resources of a processor. ● Examples of processors that use hyperthreading ○ Intel Xeon D-1529 ○ Intel i7-6785R ○ Intel Pentium D1517 Introduction ● Two main trends have been followed to increase parallelism: ○ Increase number of cores on a chip ○ Increase core throughput What is Multithreading? ● Executing more than one thread at a time ● Normally, an operating system handles a program by scheduling individual threads and then passing them to the processor. ● Two different types of hardware multithreading ○ Temporal ■ One thread per pipeline stage ○ Simultaneous (SMT) ■ Multiple threads per pipeline stage ● Intel’s hyper-threading is a SMT design Hyper-threading ● Hyper-threading is the hardware solution to increasing processor throughput by decreasing resource idle time. ● Allows multiple concurrent threads to be executed ○ Threads are interleaved so that resources not being used by one thread are used by others ○ Most processors are limited to 2 concurrent threads per physical core ○ Some do support 8 concurrent threads per physical core ● Needs the ability to fetch instructions from -
On Semifields of Type
I I G ◭◭ ◮◮ ◭ ◮ On semifields of type (q2n,qn,q2,q2,q), n odd page 1 / 19 ∗ go back Giuseppe Marino Olga Polverino Rocco Tromebtti full screen Abstract 2n n 2 2 close A semifield of type (q , q , q , q , q) (with n > 1) is a finite semi- field of order q2n (q a prime power) with left nucleus of order qn, right 2 quit and middle nuclei both of order q and center of order q. Semifields of type (q6, q3, q2, q2, q) have been completely classified by the authors and N. L. Johnson in [10]. In this paper we determine, up to isotopy, the form n n of any semifield of type (q2 , q , q2, q2, q) when n is an odd integer, proving n−1 that there exist 2 non isotopic potential families of semifields of this type. Also, we provide, with the aid of the computer, new examples of semifields of type (q14, q7, q2, q2, q), when q = 2. Keywords: semifield, isotopy, linear set MSC 2000: 51A40, 51E20, 12K10 1. Introduction A finite semifield S is a finite algebraic structure satisfying all the axioms for a skew field except (possibly) associativity. The subsets Nl = {a ∈ S | (ab)c = a(bc), ∀b, c ∈ S} , Nm = {b ∈ S | (ab)c = a(bc), ∀a, c ∈ S} , Nr = {c ∈ S | (ab)c = a(bc), ∀a, b ∈ S} and K = {a ∈ Nl ∩ Nm ∩ Nr | ab = ba, ∀b ∈ S} are fields and are known, respectively, as the left nucleus, the middle nucleus, the right nucleus and the center of the semifield. -
Lecture 3: a Simple Example, Tools, and CUDA Threads
ECE498AL Lecture 3: A Simple Example, Tools, and CUDA Threads © David Kirk/NVIDIA and Wen-mei W. Hwu, 2007-2009 1 ECE498AL, University of Illinois, Urbana-Champaign A Simple Running Example Matrix Multiplication • A simple matrix multiplication example that illustrates the basic features of memory and thread management in CUDA programs – Leave shared memory usage until later – Local, register usage – Thread ID usage – Memory data transfer API between host and device – Assume square matrix for simplicity © David Kirk/NVIDIA and Wen-mei W. Hwu, 2007-2009 2 ECE498AL, University of Illinois, Urbana-Champaign Programming Model: Square Matrix Multiplication Example • P = M * N of size WIDTH x WIDTH N • Without tiling: H T D – One thread calculates one element I W of P – M and N are loaded WIDTH times from global memory M P H T D I W WIDTH WIDTH © David Kirk/NVIDIA and Wen-mei W. Hwu, 2007-2009 3 ECE498AL, University of Illinois, Urbana-Champaign Memory Layout of a Matrix in C M0,0 M1,0 M2,0 M3,0 M0,1 M1,1 M2,1 M3,1 M0,2 M1,2 M2,2 M3,2 M0,3 M1,3 M2,3 M3,3 M M0,0 M1,0 M2,0 M3,0 M0,1 M1,1 M2,1 M3,1 M0,2 M1,2 M2,2 M3,2 M0,3 M1,3 M2,3 M3,3 © David Kirk/NVIDIA and Wen-mei W. Hwu, 2007-2009 4 ECE498AL, University of Illinois, Urbana-Champaign Step 1: Matrix Multiplication A Simple Host Version in C // Matrix multiplication on the (CPU) host in double precision void MatrixMulOnHost(float* M, float* N, float* P, int Width)N { k for (int i = 0; i < Width; ++i) H j T for (int j = 0; j < Width; ++j) { D I double sum = 0; W for (int k = 0; k < Width; ++k) { double a = M[i * width + k]; double b = N[k * width + j]; sum += a * b; M P } P[i * Width + j] = sum; i H } T D I } W k WIDTH WIDTH © David Kirk/NVIDIA and Wen-mei W. -
Thread Scheduling in Multi-Core Operating Systems Redha Gouicem
Thread Scheduling in Multi-core Operating Systems Redha Gouicem To cite this version: Redha Gouicem. Thread Scheduling in Multi-core Operating Systems. Computer Science [cs]. Sor- bonne Université, 2020. English. tel-02977242 HAL Id: tel-02977242 https://hal.archives-ouvertes.fr/tel-02977242 Submitted on 24 Oct 2020 HAL is a multi-disciplinary open access L’archive ouverte pluridisciplinaire HAL, est archive for the deposit and dissemination of sci- destinée au dépôt et à la diffusion de documents entific research documents, whether they are pub- scientifiques de niveau recherche, publiés ou non, lished or not. The documents may come from émanant des établissements d’enseignement et de teaching and research institutions in France or recherche français ou étrangers, des laboratoires abroad, or from public or private research centers. publics ou privés. Ph.D thesis in Computer Science Thread Scheduling in Multi-core Operating Systems How to Understand, Improve and Fix your Scheduler Redha GOUICEM Sorbonne Université Laboratoire d’Informatique de Paris 6 Inria Whisper Team PH.D.DEFENSE: 23 October 2020, Paris, France JURYMEMBERS: Mr. Pascal Felber, Full Professor, Université de Neuchâtel Reviewer Mr. Vivien Quéma, Full Professor, Grenoble INP (ENSIMAG) Reviewer Mr. Rachid Guerraoui, Full Professor, École Polytechnique Fédérale de Lausanne Examiner Ms. Karine Heydemann, Associate Professor, Sorbonne Université Examiner Mr. Etienne Rivière, Full Professor, University of Louvain Examiner Mr. Gilles Muller, Senior Research Scientist, Inria Advisor Mr. Julien Sopena, Associate Professor, Sorbonne Université Advisor ABSTRACT In this thesis, we address the problem of schedulers for multi-core architectures from several perspectives: design (simplicity and correct- ness), performance improvement and the development of application- specific schedulers.