Date: 2016-03-29T14:57:08+00:00

Actual source code: test5.c
slepc-3.6.3 2016-03-29
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      1: /*
      2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
      3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
      4:    Copyright (c) 2002-2015, Universitat Politecnica de Valencia, Spain

      6:    This file is part of SLEPc.

      8:    SLEPc is free software: you can redistribute it and/or modify it under  the
      9:    terms of version 3 of the GNU Lesser General Public License as published by
     10:    the Free Software Foundation.

     12:    SLEPc  is  distributed in the hope that it will be useful, but WITHOUT  ANY
     13:    WARRANTY;  without even the implied warranty of MERCHANTABILITY or  FITNESS
     14:    FOR  A  PARTICULAR PURPOSE. See the GNU Lesser General Public  License  for
     15:    more details.

     17:    You  should have received a copy of the GNU Lesser General  Public  License
     18:    along with SLEPc. If not, see <http://www.gnu.org/licenses/>.
     19:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     20: */

     22: static char help[] = "Test matrix rational function.\n\n";

     24: #include <slepcfn.h>

     28: int main(int argc,char **argv)
     29: {
     31:   FN             fn;
     32:   Mat            A,B;
     33:   PetscInt       i,j,n=10,np,nq;
     34:   PetscReal      nrm;
     35:   PetscScalar    *As,p[10],q[10];
     36:   PetscViewer    viewer;
     37:   PetscBool      verbose;

     39:   SlepcInitialize(&argc,&argv,(char*)0,help);
     40:   PetscOptionsGetInt(NULL,"-n",&n,NULL);
     41:   PetscOptionsHasName(NULL,"-verbose",&verbose);
     42:   PetscPrintf(PETSC_COMM_WORLD,"Matrix rational function, n=%D.\n",n);

     44:   /* Create rational function r(x)=p(x)/q(x) */
     45:   FNCreate(PETSC_COMM_WORLD,&fn);
     46:   FNSetType(fn,FNRATIONAL);
     47:   np = 2; nq = 3;
     48:   p[0] = -3.1; p[1] = 1.1;
     49:   q[0] = 1.0; q[1] = -2.0; q[2] = 3.5;
     50:   FNRationalSetNumerator(fn,np,p);
     51:   FNRationalSetDenominator(fn,nq,q);
     52:   FNSetFromOptions(fn);

     54:   /* Set up viewer */
     55:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer);
     56:   FNView(fn,viewer);
     57:   if (verbose) {
     58:     PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB);
     59:   }

     61:   /* Create matrices */
     62:   MatCreateSeqDense(PETSC_COMM_SELF,n,n,NULL,&A);
     63:   PetscObjectSetName((PetscObject)A,"A");
     64:   MatCreateSeqDense(PETSC_COMM_SELF,n,n,NULL,&B);
     65:   PetscObjectSetName((PetscObject)B,"B");

     67:   /* Fill A with a symmetric Toeplitz matrix */
     68:   MatDenseGetArray(A,&As);
     69:   for (i=0;i<n;i++) As[i+i*n]=2.0;
     70:   for (j=1;j<3;j++) {
     71:     for (i=0;i<n-j;i++) { As[i+(i+j)*n]=1.0; As[(i+j)+i*n]=1.0; }
     72:   }
     73:   MatDenseRestoreArray(A,&As);
     74:   MatSetOption(A,MAT_HERMITIAN,PETSC_TRUE);
     75:   if (verbose) {
     76:     PetscPrintf(PETSC_COMM_WORLD,"Matrix A - - - - - - - -\n");
     77:     MatView(A,viewer);
     78:   }

     80:   /* Evaluate matrix function */
     81:   FNEvaluateFunctionMat(fn,A,B);
     82:   if (verbose) {
     83:     PetscPrintf(PETSC_COMM_WORLD,"Computed f(A) - - - - - - -\n");
     84:     MatView(B,viewer);
     85:   }
     86:   MatNorm(B,NORM_1,&nrm);
     87:   PetscPrintf(PETSC_COMM_WORLD,"The 1-norm of f(A) is %g\n",(double)nrm);

     89:   /* Repeat with same matrix as non-symmetric */
     90:   MatSetOption(A,MAT_HERMITIAN,PETSC_FALSE);

     92:   /* Evaluate matrix function */
     93:   FNEvaluateFunctionMat(fn,A,B);
     94:   if (verbose) {
     95:     PetscPrintf(PETSC_COMM_WORLD,"Computed f(A) - - - - - - -\n");
     96:     MatView(B,viewer);
     97:   }
     98:   MatNorm(B,NORM_1,&nrm);
     99:   PetscPrintf(PETSC_COMM_WORLD,"The 1-norm of f(A) is %g\n",(double)nrm);

    101:   MatDestroy(&A);
    102:   MatDestroy(&B);
    103:   FNDestroy(&fn);
    104:   SlepcFinalize();
    105:   return 0;
    106: }