Line data    Source code

       1             : /*
       2             :    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
       3             :    SLEPc - Scalable Library for Eigenvalue Problem Computations
       4             :    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
       5             : 
       6             :    This file is part of SLEPc.
       7             :    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
       8             :    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
       9             : */
      10             : 
      11             : static char help[] = "Test dense LME functions.\n\n";
      12             : 
      13             : #include <slepclme.h>
      14             : 
      15           1 : int main(int argc,char **argv)
      16             : {
      17           1 :   LME            lme;
      18           1 :   Mat            A,B,C,X;
      19           1 :   PetscInt       i,j,n=10,k=2;
      20           1 :   PetscScalar    *As,*Bs,*Cs,*Xs;
      21           1 :   PetscViewer    viewer;
      22           1 :   PetscBool      verbose;
      23             : 
      24           1 :   PetscFunctionBeginUser;
      25           1 :   PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
      26           1 :   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
      27           1 :   PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL));
      28           1 :   PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
      29           1 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Dense matrix equations, n=%" PetscInt_FMT ".\n",n));
      30             : 
      31             :   /* Create LME object */
      32           1 :   PetscCall(LMECreate(PETSC_COMM_WORLD,&lme));
      33             : 
      34             :   /* Set up viewer */
      35           1 :   PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer));
      36           1 :   if (verbose) PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB));
      37             : 
      38             :   /* Create matrices */
      39           1 :   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,n,NULL,&A));
      40           1 :   PetscCall(PetscObjectSetName((PetscObject)A,"A"));
      41           1 :   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,n,NULL,&B));
      42           1 :   PetscCall(PetscObjectSetName((PetscObject)B,"B"));
      43           1 :   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,k,NULL,&C));
      44           1 :   PetscCall(PetscObjectSetName((PetscObject)C,"C"));
      45           1 :   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,n,n,NULL,&X));
      46           1 :   PetscCall(PetscObjectSetName((PetscObject)X,"X"));
      47             : 
      48             :   /* Fill A with an upper Hessenberg Toeplitz matrix */
      49           1 :   PetscCall(MatDenseGetArray(A,&As));
      50          11 :   for (i=0;i<n;i++) As[i+i*n]=3.0-(PetscReal)n/2;
      51          10 :   for (i=0;i<n-1;i++) As[i+1+i*n]=0.5;
      52           3 :   for (j=1;j<3;j++) {
      53          19 :     for (i=0;i<n-j;i++) As[i+(i+j)*n]=1.0;
      54             :   }
      55           1 :   PetscCall(MatDenseRestoreArray(A,&As));
      56             : 
      57           1 :   if (verbose) {
      58           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix A - - - - - - - -\n"));
      59           0 :     PetscCall(MatView(A,viewer));
      60             :   }
      61             : 
      62             :   /* Fill B with the 1-D Laplacian matrix */
      63           1 :   PetscCall(MatDenseGetArray(B,&Bs));
      64          11 :   for (i=0;i<n;i++) Bs[i+i*n]=2.0;
      65          10 :   for (i=0;i<n-1;i++) { Bs[i+1+i*n]=-1; Bs[i+(i+1)*n]=-1; }
      66           1 :   PetscCall(MatDenseRestoreArray(B,&Bs));
      67             : 
      68           1 :   if (verbose) {
      69           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix B - - - - - - - -\n"));
      70           0 :     PetscCall(MatView(B,viewer));
      71             :   }
      72             : 
      73             :   /* Solve Lyapunov equation A*X+X*A'= -B */
      74           1 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solving Lyapunov equation for B\n"));
      75           1 :   PetscCall(MatDenseGetArray(A,&As));
      76           1 :   PetscCall(MatDenseGetArray(B,&Bs));
      77           1 :   PetscCall(MatDenseGetArray(X,&Xs));
      78           1 :   PetscCall(LMEDenseLyapunov(lme,n,As,n,Bs,n,Xs,n));
      79           1 :   PetscCall(MatDenseRestoreArray(A,&As));
      80           1 :   PetscCall(MatDenseRestoreArray(B,&Bs));
      81           1 :   PetscCall(MatDenseRestoreArray(X,&Xs));
      82           1 :   if (verbose) {
      83           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solution X - - - - - - - -\n"));
      84           0 :     PetscCall(MatView(X,viewer));
      85             :   }
      86             : 
      87             :   /* Fill C with a full-rank nx2 matrix */
      88           1 :   PetscCall(MatDenseGetArray(C,&Cs));
      89           3 :   for (i=0;i<k;i++) Cs[i+i*n] = (i%2)? -1.0: 1.0;
      90           1 :   PetscCall(MatDenseRestoreArray(C,&Cs));
      91             : 
      92           1 :   if (verbose) {
      93           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Matrix C - - - - - - - -\n"));
      94           0 :     PetscCall(MatView(C,viewer));
      95             :   }
      96             : 
      97             :   /* Solve Lyapunov equation A*X+X*A'= -C*C' */
      98           1 :   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solving Lyapunov equation for C (Cholesky)\n"));
      99           1 :   PetscCall(MatDenseGetArray(A,&As));
     100           1 :   PetscCall(MatDenseGetArray(C,&Cs));
     101           1 :   PetscCall(MatDenseGetArray(X,&Xs));
     102           1 :   PetscCall(LMEDenseHessLyapunovChol(lme,n,As,n,2,Cs,n,Xs,n,NULL));
     103           1 :   PetscCall(MatDenseRestoreArray(A,&As));
     104           1 :   PetscCall(MatDenseRestoreArray(C,&Cs));
     105           1 :   PetscCall(MatDenseRestoreArray(X,&Xs));
     106           1 :   if (verbose) {
     107           0 :     PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solution X - - - - - - - -\n"));
     108           0 :     PetscCall(MatView(X,viewer));
     109             :   }
     110             : 
     111           1 :   PetscCall(MatDestroy(&A));
     112           1 :   PetscCall(MatDestroy(&B));
     113           1 :   PetscCall(MatDestroy(&C));
     114           1 :   PetscCall(MatDestroy(&X));
     115           1 :   PetscCall(LMEDestroy(&lme));
     116           1 :   PetscCall(SlepcFinalize());
     117             :   return 0;
     118             : }
     119             : 
     120             : /*TEST
     121             : 
     122             :    test:
     123             :       args: -info :lme
     124             :       requires: double
     125             :       filter: sed -e "s/[0-9]\.[0-9]*e[+-]\([0-9]*\)/1e-\\1/g"
     126             : 
     127             : TEST*/