slides - Friedrich-Schiller-Universität Jena

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a functional approach separate operations and data a model problem
(m) 1 xi = (b a i−∑ ii j≠i a textbook example x (m) =D −1 (b−( A−D)x (m−1) ), m=1,2, ... n (m−1) aij x j ), i=1,.. n;m=1,2 ,... (m) xi =(bi+ 1 2 x (m−1) (m−1) 1 i−1 −xi + 2 xi+1 i=2,..n−1;m=1,2, ... (m−1) ), Jacobi iteration matrix notation components insert Finite Difference matrix
Page 1 and 2: A functional approach to programmin
Page 3 and 4: super computer with accelerators Ph
Page 5 and 6: vector computer Photo DKRZ CDC STAR
Page 7 and 8: massively parallel computer Photo:c
Page 9 and 10: accelerators Intel 8087 (1980) Weit
Page 11 and 12: !DIR$ IVDEP INFINITEVL DO I = 1,N A
Page 13 and 14: message passing MPI_Comm_rank(MPI_C
Page 15: void kernel k (float a, out float b
Page 19 and 20: translation to functional style x(m
Page 21 and 22: define program [repeat fdef] end de
Page 23 and 24: translation to array style add type
Page 25 and 26: abstract vector processor array x0(
Page 27 and 28: abstract GPU array x0(0,n), x1(0,n)
Page 29 and 30: further optimization improve data l

slides - Friedrich-Schiller-Universität Jena

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