Advances in Software Tools for Scientific Computing by Jeremy Siek, Andrew Lumsdaine (auth.), Hans Petter

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 will be significant to rapidly improve the functionality and reliability of the software program in addition, and infrequently with no need an appropriate mathematical thought on hand. within the dealing with of progressively more advanced real-life numerical difficulties in all types of purposes, a latest object-oriented de­ signal and implementation of software program instruments has develop into a very important part. The significant demanding situations posed by means of the call for for effective object-oriented software program in all components of medical computing make it essential to alternate rules and stories from as many various assets as attainable. inspired by means of the good fortune of the 1st assembly of this type in Norway in 1996, we determined to prepare one other foreign Workshop on glossy software program instruments for medical Computing, sometimes called SciTools'98. This workshop happened in Oslo, Norway, September 14-16, 1998. The ob­ jective used to be back to supply an open discussion board for trade and dialogue of recent, state of the art software program innovations utilized to hard numerical difficulties. The association used to be undertaken together by means of the examine 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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40 ... ,.. - \ / .... -'-'-'-'-' 20 ............ 0 50 100 150 250 200 N 300 350 400 70 MTL SPARSKIT NIST TNT 60 50 ........ 2 :!! - ..... i""· .... ·..... ::· ... .... 10' Average non zeroes per row Fig. 15. Performance of generic matrix-vector product applied to column-oriented dense (upper) and row-oriented sparse (lower) data structures compared with other libraries on Sun UltraSPARC. , by ordering the matrix properly or by collecting and forming super-nodes). We also intend to incorporate sparse direct solvers (with the associated graph algorithms) into MTL.

The templaterecursive calls are inlined, resulting in a sequence of N copies of the inner loop statement. This technique, called template metaprograms, has been used to a large degree in the Blitz++ Library and is explained in [8,36]. 4 Basic Linear Algebra Instruction Set (BLAIS) The BLAIS library is implemented directly on top of the FAST Library, as a thin layer that maps generic FAST algorithms into fixed-size mathematical operations. There is no added overhead in the layering because all the function calls are inlined.

7 Performance Experiments In the following set of experiments we present some performance results comparing MTL with other available libraries (both public domain and vendor supplied). The algorithms timed were the dense matrix-matrix multiplication, the dense matrix-vector multiplication, and the sparse matrix-vector multiplication. Dense Matrix-Matrix Multiplication. Figure 14 shows the dense matrix-matrix product performance for MTL, Fortran BLAS, the Sun Performance Library, TNT [28], and ATLAS [39], all obtained on a Sun UltraSPARC 170E.

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