1 / 17

Overloading of Operators in FEMA System: Enhancing Matrix Operations Efficiency

Explore the overloading of operators in the FEMA System for efficient matrix operations, reducing disk and memory space requirements, and improving computational speed in civil engineering lightweight structures. Learn about the parallelization of multiplying matrices, comparisons of computer systems, modeling algorithms into computer programs, and a proposed approach for optimizing matrix operations.

lydia
Télécharger la présentation

Overloading of Operators in FEMA System: Enhancing Matrix Operations Efficiency

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. LIGHTWEIGHT STRUCTURES in CIVIL ENGINEERINGINTERNATIONAL SEMINAR of IASS POLISH CHAPTEROrganized by Polish Chapter ofInternational Association for Shell and Spatial StructuresWarsaw-Częstochowa, 3 December, 2004OVERLOADING OF OPERATORS IN FEMA SYSTEMW. PRZYBYŁO 1 and M. MAŹNIEWSKI 21Professor, Częstochowa University of Technology, ul. Akademicka 3, 42-200 Częstochowa, POLAND2PhD. student, Częstochowa University of Technology, ul. Akademicka 3, 42-200 Częstochowa, POLAND

  2. FEM (Finite Elements Method) • Constructions are divided into many elements • Elements are described with matrices • Hypermatrix - matrix of matrices • Problems associated with matrices: • high requirements of disk and memory space • high requirements of computational power • costly and time-consuming calculations

  3. Characteristics of matrix operations • Problems' solutions are constructed as a set of subtasks • Subtasks are executed one by another • Some subtasks are repeated many times with different data-sets • Some subtasks are independent one of another • Subtasks can be executed simultaneously

  4. Parallelization of multiplying matrices

  5. Comparison of computer systems • Single computer – one CPU • Symetric Multiprocessor(SMP) • Parallel computer • many processors in one box • one processor – one task • Clusters – set of computers jointed with network • Saving money by using owned hardware • Big computational power with low cost • Easy enlarging • Reliable calculations • Fail-safe system

  6. Speeding-up calculations • Simultaneous subtasks' execution • Computer programs' parallelization • Building clustered systems • Requirements: • Synchronization of data • Interprocess communication • Network communication

  7. Modelling algorithms into computer programs • Algorithm – description of problem solution • Algorithms are constructed with cooperation of specialists • Computer program – representation of algorithm • different syntax of programming languages • Only programmers understand source code • Mathematic operations replaced with programming operations

  8. Overloading of operators • Arithmetic operators – works only with basic data-types(char, integer value, real value...) • Defining own data-types – Objective Programming • Matrix operations • Definition of object: MATRIX • Overloading operators – allowing them work with user-defined data-types • Problems with matrices operations • Large matrices need large disk and memory spaces • Assignment of matrices – copying one matrix to another

  9. Overloading of operators cont. • Classic mode • a:=1, b:= 2 – integer values • c := a + b, c = 3 – integer value • Overloading operators • A – matrix, dimension: n x n • B – matrix, dimension: n x n • C : = A + B - matrix, dimension n x n • D : = A * B – matrix, dimension n x n

  10. FEMA System • Designed for matrices and hypermatrices operations • Modular system for modular operations(parallelization enabled) • Maximum dimension of data sets, minimum time of processing

  11. Proposed approach • Overloading matrix operations • Replacing copying of matrices – with commands from FEMA system • Dividing task into subtasks • Writing steering files for every subtask • Sending steering files to nodes of clusters • Processing calculations in professional system(FEMA) • Aggregation of calculations' results

  12. Example • Adding matrices: • in source code: C = A + B • in result : PHAH A B C • Multiplying matrices: • in source code: C = A * B • in result : PHMH A B C

  13. Appendix: Parallel example • Steering file is read by master-program • Worker-program is invoked • Master-program sends steering file to worker • Worker-program writes steering file to hard-disk • Worker-program invokes FEMA system • FEMA system read task-definition and input data • FEMA system executes operations and writes results to hard-disk

  14. Steering file example (fema.CIN) • DDEX • DEX-BAT • DDEX7 • 2 • 3 • Y • Y • N • N • END • END

  15. Console output • [1:t40005] Master process..262149..[ bind and ready to distribute tasks ].. • [1:t40005] Master [262149]..Checking steering-file [/tmp/fema.CIN] structure...OK • [1:t40005] Worker-process..ID...262150: [ ready to execute tasks ] • [1:t40005] Process: [262149] ready to send steering file.. • [1:t40006] Process: [262150] ready to get steering file.. • [1:t40005] [262149]..We've read: • [1:t40005] DDEX • [1:t40005] DEX-BAT • [1:t40005] DDEX7 • [1:t40005] 2 • [1:t40005] 3 • [1:t40005] Y • [1:t40005] Y • [1:t40005] N • [1:t40005] N • [1:t40005] END • [1:t40005] END • [1:t40005] END • [1:t40005] Process [262149]..sending steering file to worker(s).. • [1:t40006] Process: [262150] retrieved cmd: • [1:t40006] ..DDEX • [1:t40006] DEX-BAT • [1:t40006] DDEX7 • [1:t40006] 2 • [1:t40006] 3 • [1:t40006] Y • [1:t40006] Y • [1:t40006] N • [1:t40006] N

  16. [1:t40006] END • [1:t40006] END • [1:t40006] END • [1:t40005] Process: [262149] - retrieved confirmation.. • [1:t40005] Process: [262149] exiting.. • [1:t40005] EOF • [1:t40006] ....confirmation sent to master.. • [1:t40006] Process: [262150]..Attempting to write steering file [/home/pvm3/bin/LINUX/FEMA/task/fema.CIN].. • [1:t40006] Process: [262150] - [ OK ] file has been written • [1:t40006] Process: [262150]..Attempting to run FEMA system.. • [1:t40006] Process: [262150]..checking for task-definition file.. • [1:t40006] Process: [262150] - [ OK ] task-definition file is proper.. • [1:t40006] Process: [262150]..running FEMA system.. • [1:t40006] sh: CLS: command not found • [1:t40006] sh: PAUSE: command not found • [1:t40006] sh: CLS: command not found • [1:t40006] sh: CLS: command not found • [1:t40006] sh: CLS: command not found • [1:t40006] [34;1m******************************************************************************** • [1:t40006] WELCOME TO FEMA DATABASE MADE BY FEMA ENGINEERING LTD • [1:t40006] YOU HAVE SELECTED /home/pvm3/bin/LINUX/f88.exe, • [1:t40006] WITH /home/pvm3/bin/LINUX/FEMA/task/fema.INP AS ARGUMENT • [1:t40006] ******************************************************************************** • [1:t40006] [0m**************************************************************************** • [1:t40006] EOF

More Related