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 is important to rapidly increase the functionality and reliability of the software program to boot, and infrequently with no need an appropriate mathematical concept available. within the dealing with of increasingly more advanced real-life numerical difficulties in all types of functions, a contemporary object-oriented de­ signal and implementation of software program instruments has develop into a vital part. The significant demanding situations posed through the call for for effective object-oriented software program in all parts of medical computing make it essential to alternate principles and stories from as many alternative assets as attainable. influenced via 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 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 trade and dialogue of contemporary, cutting-edge software program suggestions utilized to hard numerical difficulties. The association used to be undertaken together by way 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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It allows arbitrarily complex sets of data to be grouped together and hidden within an abstraction. Classes (and structures in general) interfere A Framework for Numerical Linear Algebra 37 with the register allocation algorithms of many compilers. Optimizing compilers map the local variables of a function to machine registers. This can drastically reduce the number of loads and stores necessary since the registers are being used to cache data from memory. Many compilers do not recognize that this optimization can also be applied to objects on the stack.

We use a tail-recursive algorithm to achieve complete unrolling - there is no actual loop in the FAST transform{). 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.

Lumsdaine Iexpression X: X: X: X: :value_type :reference :const-reference :pointer X: : size_type X::difference_type X: :TwoD X: : orientation X: : shape X::tranpose_type X: : scaled_type X: :row_2Diterator X::column_2Diterator X: :RowVector X: :ColumnVector X u; XO; X u(a); X u = a; X u(size_type m, size_type n) a. begin-rows 0 ; a. subJnatrix(i,j,m,n) X Inote row or column? banded, etc. ncolsO == 0 copy assignment create an m x n matrix element access row dimension column dimension create sub matrix Table 9.

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