By Jeremy Siek, Andrew Lumsdaine (auth.), Hans Petter Langtangen, Are Magnus Bruaset, Ewald Quak (eds.)
To make complete use of the ever expanding functions of recent com puters, it is important to swiftly increase the functionality and reliability of the software program to boot, and sometimes with no need an appropriate mathematical idea available. within the dealing with of progressively more complicated real-life numerical difficulties in every type of purposes, a contemporary object-oriented de signal and implementation of software program instruments has turn into a vital part. The massive demanding situations posed via the call for for effective object-oriented software program in all components of clinical computing make it essential to trade principles and reviews from as many various assets as attainable. prompted through the luck of the 1st assembly of this type in Norway in 1996, we made up our minds to prepare one other overseas Workshop on sleek software program instruments for medical Computing, also known as SciTools'98. This workshop happened in Oslo, Norway, September 14-16, 1998. The ob jective was once back to supply an open discussion board for trade and dialogue of recent, state of the art software program ideas utilized to hard numerical difficulties. The association used to be undertaken together via the learn institute SINTEF utilized arithmetic, the Departments of arithmetic and Infor matics on the collage of Oslo, and the corporate Numerical items AS.
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As a result, performance is poor initially and continues to degrade as different effects come into play. 8 Future Work There are two particular areas where the user interface to MTL can be improved. First, we would like to use operator overloading to provide a more natural mathematical notation. Expression templates [37) are a promising technology in this regard and their use within the MTL framework warrants further investigation. Second, we intend to simplify matrix definition and construction through the use of of a second layer of templates that hide the underlying nested matrix template structure (as described in [7)).
Y. *xp. *yp; II integer. = N; ++i) tmp += x[i] * y[i]; II integer. < operator for (i = 0; i < N; ++i) tmp += x[i] * y[i]; II pointer. ;.. = x + N; ++xp. ++yp) tmp += *x + *y; II pointer. < operator yp = y; for (xp = x; xp < x + N; ++xp. ++yp) tmp += *x + *y; Table 10 shows the variations in performance on a loop (dot product) for three different computer architectures/compilers. The dot product computation was chosen because there are no aliasing issues and it includes the typical add/multiply floating point operation.
There are no scalar arguments in MTL routines. Instead, the vectors and matrices can optionally be modified with adapters so that they are transparently (from the point of view of the algorithm) scaled as their elements are accessed. If the scalar value is set at compile-time, we can rely on the compiler to optimize and create the appropriate specialized code. The scaling adapters should also be coded to handle the case were the specialization needs to happen at run time, though this is more complicated and is a current area of research.
Advances in Software Tools for Scientific Computing by Jeremy Siek, Andrew Lumsdaine (auth.), Hans Petter Langtangen, Are Magnus Bruaset, Ewald Quak (eds.)