By Jeremy Siek, Andrew Lumsdaine (auth.), Hans Petter Langtangen, Are Magnus Bruaset, Ewald Quak (eds.)
To make complete use of the ever expanding services of recent com puters, it is vital to swiftly improve the functionality and reliability of the software program to boot, and infrequently with no need an appropriate mathematical concept on hand. within the dealing with of an increasing number of advanced real-life numerical difficulties in all types of purposes, a contemporary object-oriented de signal and implementation of software program instruments has turn into an important part. The huge demanding situations posed by way of the call for for effective object-oriented software program in all components of medical computing make it essential to trade principles and studies from as many various assets as attainable. influenced by way of the luck of the 1st assembly of this sort in Norway in 1996, we made up our minds to arrange one other overseas Workshop on sleek software program instruments for clinical Computing, sometimes called SciTools'98. This workshop came about in Oslo, Norway, September 14-16, 1998. The ob jective was once back to supply an open discussion board for alternate and dialogue of recent, cutting-edge software program recommendations utilized to tough numerical difficulties. The association used to be undertaken together via the study 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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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.
Finally, experimental results show that the performance obtained by our approach can equal and even exceed that of vendor-tuned libraries. 3 Fixed Algorithm Size Template (FAST) Library The FAST Library includes generic algorithms such as transform 0 , for _eachO, inner-product 0, and accumulate 0 that are found in the STL. The interface closely follows that of the STL. All input is in the form of iterators (generalized pointers). The only difference is that the loop-end iterator is replaced by a count template object.
To obtain the highest performance in a matrix-matrix multiply code, algorithmic blocking must be done at each level of the memory hierarchy. A natural way to formulate this is to write the algorithm in a recursive fashion, where each level of recursion performs blocking for a level of the memory hierarchy. We take this approach in the MTL algorithm. The size and shapes of the blocks at each level are determined by the blocking adapter. Each adapter contains the information for the next level of blocking.
Advances in Software Tools for Scientific Computing by Jeremy Siek, Andrew Lumsdaine (auth.), Hans Petter Langtangen, Are Magnus Bruaset, Ewald Quak (eds.)