Mercurial > octave-nkf
diff liboctave/UMFPACK/AMD/Demo/amd_demo.c @ 5164:57077d0ddc8e
[project @ 2005-02-25 19:55:24 by jwe]
author | jwe |
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date | Fri, 25 Feb 2005 19:55:28 +0000 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/liboctave/UMFPACK/AMD/Demo/amd_demo.c Fri Feb 25 19:55:28 2005 +0000 @@ -0,0 +1,169 @@ +/* ========================================================================= */ +/* === AMD demo main program =============================================== */ +/* ========================================================================= */ + +/* ------------------------------------------------------------------------- */ +/* AMD Version 1.1 (Jan. 21, 2004), Copyright (c) 2004 by Timothy A. Davis, */ +/* Patrick R. Amestoy, and Iain S. Duff. See ../README for License. */ +/* email: davis@cise.ufl.edu CISE Department, Univ. of Florida. */ +/* web: http://www.cise.ufl.edu/research/sparse/amd */ +/* ------------------------------------------------------------------------- */ + +/* A simple C main program that illustrates the use of the ANSI C interface + * to AMD. + */ + +#include "amd.h" +#include <stdio.h> +#include <stdlib.h> + +int main (int argc, char **argv) +{ + /* The symmetric can_24 Harwell/Boeing matrix, including upper and lower + * triangular parts, and the diagonal entries. Note that this matrix is + * 0-based, with row and column indices in the range 0 to n-1. */ + int n = 24, nz, + Ap [ ] = { 0, 9, 15, 21, 27, 33, 39, 48, 57, 61, 70, 76, 82, 88, 94, 100, + 106, 110, 119, 128, 137, 143, 152, 156, 160 }, + Ai [ ] = { + /* column 0: */ 0, 5, 6, 12, 13, 17, 18, 19, 21, + /* column 1: */ 1, 8, 9, 13, 14, 17, + /* column 2: */ 2, 6, 11, 20, 21, 22, + /* column 3: */ 3, 7, 10, 15, 18, 19, + /* column 4: */ 4, 7, 9, 14, 15, 16, + /* column 5: */ 0, 5, 6, 12, 13, 17, + /* column 6: */ 0, 2, 5, 6, 11, 12, 19, 21, 23, + /* column 7: */ 3, 4, 7, 9, 14, 15, 16, 17, 18, + /* column 8: */ 1, 8, 9, 14, + /* column 9: */ 1, 4, 7, 8, 9, 13, 14, 17, 18, + /* column 10: */ 3, 10, 18, 19, 20, 21, + /* column 11: */ 2, 6, 11, 12, 21, 23, + /* column 12: */ 0, 5, 6, 11, 12, 23, + /* column 13: */ 0, 1, 5, 9, 13, 17, + /* column 14: */ 1, 4, 7, 8, 9, 14, + /* column 15: */ 3, 4, 7, 15, 16, 18, + /* column 16: */ 4, 7, 15, 16, + /* column 17: */ 0, 1, 5, 7, 9, 13, 17, 18, 19, + /* column 18: */ 0, 3, 7, 9, 10, 15, 17, 18, 19, + /* column 19: */ 0, 3, 6, 10, 17, 18, 19, 20, 21, + /* column 20: */ 2, 10, 19, 20, 21, 22, + /* column 21: */ 0, 2, 6, 10, 11, 19, 20, 21, 22, + /* column 22: */ 2, 20, 21, 22, + /* column 23: */ 6, 11, 12, 23 } ; + + int P [24], Pinv [24], i, j, k, jnew, p, inew, result ; + double Control [AMD_CONTROL], Info [AMD_INFO] ; + char A [24][24] ; + + printf ("AMD demo, with the 24-by-24 Harwell/Boeing matrix, can_24:\n") ; + + /* get the default parameters, and print them */ + amd_defaults (Control) ; + amd_control (Control) ; + + /* print the input matrix */ + nz = Ap [n] ; + printf ("\nInput matrix: %d-by-%d, with %d entries.\n" + " Note that for a symmetric matrix such as this one, only the\n" + " strictly lower or upper triangular parts would need to be\n" + " passed to AMD, since AMD computes the ordering of A+A'. The\n" + " diagonal entries are also not needed, since AMD ignores them.\n" + , n, n, nz) ; + for (j = 0 ; j < n ; j++) + { + printf ("\nColumn: %d, number of entries: %d, with row indices in" + " Ai [%d ... %d]:\n row indices:", + j, Ap [j+1] - Ap [j], Ap [j], Ap [j+1]-1) ; + for (p = Ap [j] ; p < Ap [j+1] ; p++) + { + i = Ai [p] ; + printf (" %d", i) ; + } + printf ("\n") ; + } + + /* print a character plot of the input matrix. This is only reasonable + * because the matrix is small. */ + printf ("\nPlot of input matrix pattern:\n") ; + for (j = 0 ; j < n ; j++) + { + for (i = 0 ; i < n ; i++) A [i][j] = '.' ; + for (p = Ap [j] ; p < Ap [j+1] ; p++) + { + i = Ai [p] ; + A [i][j] = 'X' ; + } + } + printf (" ") ; + for (j = 0 ; j < n ; j++) printf (" %1d", j % 10) ; + printf ("\n") ; + for (i = 0 ; i < n ; i++) + { + printf ("%2d: ", i) ; + for (j = 0 ; j < n ; j++) + { + printf (" %c", A [i][j]) ; + } + printf ("\n") ; + } + + /* order the matrix */ + result = amd_order (n, Ap, Ai, P, Control, Info) ; + printf ("return value from amd_order: %d (should be %d)\n", + result, AMD_OK) ; + + /* print the statistics */ + amd_info (Info) ; + + if (result != AMD_OK) + { + printf ("AMD failed\n") ; + exit (1) ; + } + + /* print the permutation vector, P, and compute the inverse permutation */ + printf ("Permutation vector:\n") ; + for (k = 0 ; k < n ; k++) + { + /* row/column j is the kth row/column in the permuted matrix */ + j = P [k] ; + Pinv [j] = k ; + printf (" %2d", j) ; + } + printf ("\n\n") ; + + printf ("Inverse permutation vector:\n") ; + for (j = 0 ; j < n ; j++) + { + k = Pinv [j] ; + printf (" %2d", k) ; + } + printf ("\n\n") ; + + /* print a character plot of the permuted matrix. */ + printf ("\nPlot of permuted matrix pattern:\n") ; + for (jnew = 0 ; jnew < n ; jnew++) + { + j = P [jnew] ; + for (inew = 0 ; inew < n ; inew++) A [inew][jnew] = '.' ; + for (p = Ap [j] ; p < Ap [j+1] ; p++) + { + inew = Pinv [Ai [p]] ; + A [inew][jnew] = 'X' ; + } + } + printf (" ") ; + for (j = 0 ; j < n ; j++) printf (" %1d", j % 10) ; + printf ("\n") ; + for (i = 0 ; i < n ; i++) + { + printf ("%2d: ", i) ; + for (j = 0 ; j < n ; j++) + { + printf (" %c", A [i][j]) ; + } + printf ("\n") ; + } + + return (0) ; +}