Michael Förster's Algorithmic Differentiation of Pragma-Defined Parallel PDF

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By Michael Förster

ISBN-10: 3658075961

ISBN-13: 9783658075965

ISBN-10: 365807597X

ISBN-13: 9783658075972

Numerical courses frequently use parallel programming strategies comparable to OpenMP to compute the program's output values as effective as attainable. moreover, by-product values of those output values with recognize to convinced enter values play an important function. to accomplish code that computes not just the output values concurrently but in addition the spinoff values, this paintings introduces a number of source-to-source transformation principles. those principles are in line with a method referred to as algorithmic differentiation. the focus of this paintings lies at the vital opposite mode of algorithmic differentiation. The inherent data-flow reversal of the opposite mode has to be dealt with safely through the transformation. the 1st a part of the paintings examines the alterations in a really normal approach given that pragma-based parallel areas happen in lots of other kinds equivalent to OpenMP, OpenACC, and Intel Phi. the second one half describes the transformation principles of crucial OpenMP constructs.

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Additional info for Algorithmic Differentiation of Pragma-Defined Parallel Regions: Differentiating Computer Programs Containing OpenMP

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1 Citation 26 (pages 70). "The barrier construct specifies an explicit barrier at the point at which the construct appears. #pragma omp b a r r i e r new-line Each barrier region must be ecncountered by all threads in a team or by none at all. " Example 11. In case that a reduction is necessary, one can use the master construct as displayed in the current code. The dots hide the part where a data decomposition takes place. 1 #pragma omp p a r a l l e l 2 { 3 ... 4 w h i l e ( i ≤ ub ) { 5 j←0; 6 w h i l e ( j

This may be different for distinct compilers and the developer cannot rely on this. 1 35 Example 4. (Explicit data decomposition) The following code declares a parallel region. A group of threads is created by the runtime system and all statements from line 3 to 19 are evaluated by all threads. Given the two n-dimensional arrays x and y, the code implements yi = 2 · xi · xi , where i = 0, . . , n − 1. The code from line 3 to line 15 defines a lower bound (lb) and an upper bound (ub). These boundaries are unique for each thread and define a range of the input data that is processed by a certain thread.

In the rest of the region, it is unspecified whether references are to the new list item or the original list item. Therefore, if an attempt is made to reference the original item, its value after the region is also unspecified. If a task does not reference a list item that appears in a private clause, it is unspecified whether that task receives a new list item. The value and/or allocation status of the original list item will change only: 1. if accessed and modified via pointer, 2. if possibly accessed in the region but outside of the construct, or 3.

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Algorithmic Differentiation of Pragma-Defined Parallel Regions: Differentiating Computer Programs Containing OpenMP by Michael Förster

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