Arithmetic functions in torus and tree networks

Bhanot, Gyan; Blumrich, Matthias A; Chen, Dong; Gara, Alan G; Giampapa, Mark E; Heidelberger, Philip; Steinmacher-Burow, Burkhard D; Vranas, Pavlos M

Title: Arithmetic functions in torus and tree networks

Abstract

Methods and systems for performing arithmetic functions. In accordance with a first aspect of the invention, methods and apparatus are provided, working in conjunction of software algorithms and hardware implementation of class network routing, to achieve a very significant reduction in the time required for global arithmetic operation on the torus. Therefore, it leads to greater scalability of applications running on large parallel machines. The invention involves three steps in improving the efficiency and accuracy of global operations: (1) Ensuring, when necessary, that all the nodes do the global operation on the data in the same order and so obtain a unique answer, independent of roundoff error; (2) Using the topology of the torus to minimize the number of hops and the bidirectional capabilities of the network to reduce the number of time steps in the data transfer operation to an absolute minimum; and (3) Using class function routing to reduce latency in the data transfer. With the method of this invention, every single element is injected into the network only once and it will be stored and forwarded without any further software overhead. In accordance with a second aspect of the invention, methods and systems are provided to efficientlymore » « less

Inventors:

Bhanot, Gyan ^[1]; Blumrich, Matthias A ^[2]; Chen, Dong ^[3]; Gara, Alan G ^[4]; Giampapa, Mark E ^[5]; Heidelberger, Philip ^[6]; Steinmacher-Burow, Burkhard D ^[4]; Vranas, Pavlos M ^[7]

Princeton, NJ
Ridgefield, CT
Croton On Hudson, NY
Mount Kisco, NY
Irvington, NY
Cortlandt Manor, NY
Bedford Hills, NY

Issue Date:: 2007-12-25

Research Org.:: Lawrence Livermore National Laboratory (LLNL), Livermore, CA (United States)

Sponsoring Org.:: USDOE

OSTI Identifier:: 921478

Patent Number(s):: 7313582

Application Number:: 10/468,991

Assignee:: International Business Machines Corporation (Armonk, NY)

Patent Classifications (CPCs):: F - MECHANICAL ENGINEERING F04 - POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS F04D - NON-POSITIVE-DISPLACEMENT PUMPS

F - MECHANICAL ENGINEERING F24 - HEATING F24F - AIR-CONDITIONING

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F - MECHANICAL ENGINEERING F04 - POSITIVE - DISPLACEMENT MACHINES FOR LIQUIDS F04D - NON-POSITIVE-DISPLACEMENT PUMPS
F04D25/166 - {using fans}
F04D27/004 - {by varying driving speed}

F - MECHANICAL ENGINEERING F24 - HEATING F24F - AIR-CONDITIONING
F24F11/77 - by controlling the speed of ventilators

G - PHYSICS G06 - COMPUTING G06F - ELECTRIC DIGITAL DATA PROCESSING
G06F15/17337 - {Direct connection machines, e.g. completely connected computers, point to point communication networks
G06F15/17381 - {Two dimensional, e.g. mesh, torus}
G06F17/142 - {Fast Fourier transforms, e.g. using a Cooley-Tukey type algorithm}
G06F9/52 - Program synchronisation
G06F9/526 - {Mutual exclusion algorithms}

G - PHYSICS G09 - EDUCATION G09G - ARRANGEMENTS OR CIRCUITS FOR CONTROL OF INDICATING DEVICES USING STATIC MEANS TO PRESENT VARIABLE INFORMATION
G09G5/008 - {Clock recovery}

H - ELECTRICITY H04 - ELECTRIC COMMUNICATION TECHNIQUE H04L - TRANSMISSION OF DIGITAL INFORMATION, e.g. TELEGRAPHIC COMMUNICATION
H04L7/0338 - {the correction of the phase error being performed by a feed forward loop}

H - ELECTRICITY H05 - ELECTRIC TECHNIQUES NOT OTHERWISE PROVIDED FOR H05K - PRINTED CIRCUITS
H05K7/20836 - {Thermal management, e.g. server temperature control}

Y - NEW / CROSS SECTIONAL TECHNOLOGIES Y02 - TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE Y02B - CLIMATE CHANGE MITIGATION TECHNOLOGIES RELATED TO BUILDINGS, e.g. HOUSING, HOUSE APPLIANCES OR RELATED END-USER APPLICATIONS
Y02B30/70 - Efficient control or regulation technologies

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DOE Contract Number:: W-7405-ENG-48

Resource Type:: Patent

Country of Publication:: United States

Language:: English

Citation Formats


                    Bhanot, Gyan, Blumrich, Matthias A, Chen, Dong, Gara, Alan G, Giampapa, Mark E, Heidelberger, Philip, Steinmacher-Burow, Burkhard D, and Vranas, Pavlos M. Arithmetic functions in torus and tree networks.  United States: N. p., 2007. 
        Web.

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                    Bhanot, Gyan, Blumrich, Matthias A, Chen, Dong, Gara, Alan G, Giampapa, Mark E, Heidelberger, Philip, Steinmacher-Burow, Burkhard D, & Vranas, Pavlos M. Arithmetic functions in torus and tree networks.  United States.

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                    Bhanot, Gyan, Blumrich, Matthias A, Chen, Dong, Gara, Alan G, Giampapa, Mark E, Heidelberger, Philip, Steinmacher-Burow, Burkhard D, and Vranas, Pavlos M. Tue .  
        "Arithmetic functions in torus and tree networks".  United States.  https://www.osti.gov/servlets/purl/921478.

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@article{osti_921478,

  title        = {Arithmetic functions in torus and tree networks},

  author       = {Bhanot, Gyan and Blumrich, Matthias A and Chen, Dong and Gara, Alan G and Giampapa, Mark E and Heidelberger, Philip and Steinmacher-Burow, Burkhard D and Vranas, Pavlos M},

  abstractNote = {Methods and systems for performing arithmetic functions. In accordance with a first aspect of the invention, methods and apparatus are provided, working in conjunction of software algorithms and hardware implementation of class network routing, to achieve a very significant reduction in the time required for global arithmetic operation on the torus. Therefore, it leads to greater scalability of applications running on large parallel machines. The invention involves three steps in improving the efficiency and accuracy of global operations: (1) Ensuring, when necessary, that all the nodes do the global operation on the data in the same order and so obtain a unique answer, independent of roundoff error; (2) Using the topology of the torus to minimize the number of hops and the bidirectional capabilities of the network to reduce the number of time steps in the data transfer operation to an absolute minimum; and (3) Using class function routing to reduce latency in the data transfer. With the method of this invention, every single element is injected into the network only once and it will be stored and forwarded without any further software overhead. In accordance with a second aspect of the invention, methods and systems are provided to efficiently implement global arithmetic operations on a network that supports the global combining operations. The latency of doing such global operations are greatly reduced by using these methods.},

  doi          = {},

  journal      = {},
number       = ,

  volume       = ,

  place        = {United States},

  year         = {2007},

  month        = {12}

}

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Similar Records

Title: Arithmetic functions in torus and tree networks

Abstract

Citation Formats

A communication model based on an n-dimensional torus architecture using deadlock-free wormhole routing conference, January 2003

Network decontamination with local immunization conference, January 2006

Parallel image analysis on recursive Torus architecture conference, January 1993

The P-Mesh-a commodity-based scalable network architecture for clusters conference, January 1999

Exploiting multiple degrees of BP parallelism on the highly parallel computer AP1000 conference, January 1995

Polymorphic-torus architecture for computer vision journal, March 1989

A Scalable Distributed Parallel Breadth-First Search Algorithm on BlueGene/L conference, January 2005

Data level parallel processing for object recognition on Recursive Torus Architecture conference, January 1995

A unified formulation of honeycomb and diamond networks journal, January 2001

A peer-to-peer network based on multi-mesh architecture conference, January 2003

Scalable distributed architecture of the terabit router conference, January 2004

Image analysis and computer vision: 1988 journal, May 1989

Efficient mapping algorithm of multilayer neural network on torus architecture journal, September 2003

A communication model based on an n-dimensional torus architecture using deadlock-free wormhole routing
conference, January 2003

Network decontamination with local immunization
conference, January 2006

Parallel image analysis on recursive Torus architecture
conference, January 1993

The P-Mesh-a commodity-based scalable network architecture for clusters
conference, January 1999

Exploiting multiple degrees of BP parallelism on the highly parallel computer AP1000
conference, January 1995

Polymorphic-torus architecture for computer vision
journal, March 1989

A Scalable Distributed Parallel Breadth-First Search Algorithm on BlueGene/L
conference, January 2005

Data level parallel processing for object recognition on Recursive Torus Architecture
conference, January 1995

A unified formulation of honeycomb and diamond networks
journal, January 2001

A peer-to-peer network based on multi-mesh architecture
conference, January 2003

Scalable distributed architecture of the terabit router
conference, January 2004

Image analysis and computer vision: 1988
journal, May 1989

Efficient mapping algorithm of multilayer neural network on torus architecture
journal, September 2003