Download Dependence Analysis for Supercomputing by Utpal Banerjee PDF

By Utpal Banerjee

ISBN-10: 1468468944

ISBN-13: 9781468468946

ISBN-10: 1468468960

ISBN-13: 9781468468960

This ebook is on dependence thoughts and common equipment for dependence checking out. right here, dependence skill info dependence and the assessments are compile-time checks. We felt the time used to be ripe to create an exceptional conception of the topic, to supply the examine neighborhood with a uniform conceptual framework during which issues healthy jointly properly. How profitable we have now been in assembly those pursuits, after all, continues to be visible. we don't try and comprise all of the minute info which are identified, nor will we care for smart methods that each one strong programmers would wish to exploit. We do attempt to persuade the reader that there's a mathematical foundation along with theories of bounds of linear features and linear diophantine equations, that degrees and path vectors are ideas that come up really natu­ rally, that diverse dependence assessments are rather targeted circumstances of a few basic checks, and so forth. a few mathematical adulthood is required for a superb comprehend­ ing of the ebook: typically calculus and linear algebra. we've got cov­ ered diophantine equations particularly completely and given a descrip­ of a few matrix thought rules that aren't very widely recognized. tion A reader acquainted with linear programming might fast recog­ nize numerous strategies. we've got discovered greatly from the works of M. Wolfe, and okay. Kennedy and R. Allen. Wolfe's Ph. D. thesis on the college of Illinois and Kennedy & Allen's paper on vectorization of Fortran courses are nonetheless very priceless assets in this subject.

Show description

Read or Download Dependence Analysis for Supercomputing PDF

Best design & architecture books

Java Web Services Architecture

This can be a no-nonsense advisor to net companies applied sciences together with cleaning soap, WSDL, UDDI and the JAX APIs; it presents an independent examine some of the functional issues for imposing internet companies together with authorization, encryption, and transactions.

Transactional Memory

The arrival of multicore processors has renewed curiosity within the proposal of incorporating transactions into the programming version used to jot down parallel courses. This process, referred to as transactional reminiscence, bargains an alternate, and with a bit of luck greater, method to coordinate concurrent threads. The ACI (atomicity, consistency, isolation) homes of transactions offer a starting place to make sure that concurrent reads and writes of shared information don't produce inconsistent or flawed effects.

The enterprise architecture IT project: the urbanisation paradigm

The foundation for an firm structure IT venture comes from the id of the alterations essential to enforce the company or companies method, and the turning out to be details wishes coming up from this, which raises the call for for the improvement of the IT method. the improvement of an IT method could be conducted utilizing an urbanisation procedure i.

Pump user's handbook : life extension

This article explains simply how and why the best-of-class pump clients are always attaining better run lengths, low upkeep bills and unexcelled security and reliability. Written via training engineers whose operating profession was once marked by means of involvement in pump specification, deploy, reliability overview, part upgrading, upkeep rate aid, operation, troubleshooting and all feasible features of pumping know-how, this article describes intimately easy methods to accomplish best-of-class functionality and coffee lifestyles cycle rate.

Additional info for Dependence Analysis for Supercomputing

Sample text

Im) identical to the location represented by y in iteration (j1. h, .... , je, jm+t. jm+2,"" jn), each pair of corresponding subscripts of x, y in the respective iterations must be equal. This means there must be an integer solution to the system of equations (1). Since h, jl are values of the index variable 11, they must satisfy the limits of 11. and similarly for the other variables. This explains the conditions (2). Finally, conditions (3) simply say that the iteration pair has the given direction vector s.

If i < j, the instance S(i, is) of S will be executed before the instance T(j, h) of T, irrespectively of the lexical positions of the two statements. In the case i = j, however, S(i, is) will be executed before T(j, h) iff S precedes T lexically in the program. In ord~r that the relation i < j may hold, we must have i

I m) is executed before the instance TOt. j2, .... , je, jm+1. jm+2, ... , jn) in the serial execution of the program. For the 'if part, trace the steps backwards (see the comments at the beginning of the section). • If only dependence at a given level is to be tested, the conditions are simpler: Corollary. In the notation of the above theorem, (x, y) causes a dependence of T on S at a level u, iff there is an integer solution to the system of DIM equations (1 ~r ~ DIM), (1) in N = (n + e - u + 1) variables, subject to the conditions: and Pk ~ik ~qk, Pk ~jk ~ qk, (1 ~k~m); (u ~ k ~ e and m + 1 ~ k ~ n); (2) 39 DEPENDENCE if 1 ~u ~e.

Download PDF sample

Dependence Analysis for Supercomputing by Utpal Banerjee

by Jeff

Rated 4.54 of 5 – based on 50 votes