Date: 2015-09-03T15:04:00+00:00

Actual source code: test3.c
slepc-3.6.1 2015-09-03
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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 ST with two matrices.\n\n";

     24: #include <slepcst.h>

     28: int main(int argc,char **argv)
     29: {
     30:   Mat            A,B,M,mat[2];
     31:   ST             st;
     32:   Vec            v,w;
     33:   STType         type;
     34:   PetscScalar    sigma,tau;
     35:   PetscInt       n=10,i,Istart,Iend;

     38:   SlepcInitialize(&argc,&argv,(char*)0,help);
     39:   PetscOptionsGetInt(NULL,"-n",&n,NULL);
     40:   PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian plus diagonal, n=%D\n\n",n);

     42:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     43:      Compute the operator matrix for the 1-D Laplacian
     44:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     46:   MatCreate(PETSC_COMM_WORLD,&A);
     47:   MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n);
     48:   MatSetFromOptions(A);
     49:   MatSetUp(A);

     51:   MatCreate(PETSC_COMM_WORLD,&B);
     52:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
     53:   MatSetFromOptions(B);
     54:   MatSetUp(B);

     56:   MatGetOwnershipRange(A,&Istart,&Iend);
     57:   for (i=Istart;i<Iend;i++) {
     58:     MatSetValue(A,i,i,2.0,INSERT_VALUES);
     59:     if (i>0) {
     60:       MatSetValue(A,i,i-1,-1.0,INSERT_VALUES);
     61:       MatSetValue(B,i,i,(PetscScalar)i,INSERT_VALUES);
     62:     } else {
     63:       MatSetValue(B,i,i,-1.0,INSERT_VALUES);
     64:     }
     65:     if (i<n-1) { MatSetValue(A,i,i+1,-1.0,INSERT_VALUES); }
     66:   }
     67:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     68:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
     69:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
     70:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
     71:   MatCreateVecs(A,&v,&w);
     72:   VecSet(v,1.0);

     74:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     75:                 Create the spectral transformation object
     76:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     78:   STCreate(PETSC_COMM_WORLD,&st);
     79:   mat[0] = A;
     80:   mat[1] = B;
     81:   STSetOperators(st,2,mat);
     82:   STSetTransform(st,PETSC_TRUE);
     83:   STSetFromOptions(st);

     85:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
     86:               Apply the transformed operator for several ST's
     87:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */

     89:   /* shift, sigma=0.0 */
     90:   STSetUp(st);
     91:   STGetType(st,&type);
     92:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
     93:   STApply(st,v,w);
     94:   VecView(w,NULL);

     96:   /* shift, sigma=0.1 */
     97:   sigma = 0.1;
     98:   STSetShift(st,sigma);
     99:   STGetShift(st,&sigma);
    100:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    101:   STApply(st,v,w);
    102:   VecView(w,NULL);

    104:   /* sinvert, sigma=0.1 */
    105:   STPostSolve(st);   /* undo changes if inplace */
    106:   STSetType(st,STSINVERT);
    107:   STGetType(st,&type);
    108:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
    109:   STGetShift(st,&sigma);
    110:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    111:   STApply(st,v,w);
    112:   VecView(w,NULL);

    114:   /* sinvert, sigma=-0.5 */
    115:   sigma = -0.5;
    116:   STSetShift(st,sigma);
    117:   STGetShift(st,&sigma);
    118:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    119:   STApply(st,v,w);
    120:   VecView(w,NULL);

    122:   /* cayley, sigma=-0.5, tau=-0.5 (equal to sigma by default) */
    123:   STPostSolve(st);   /* undo changes if inplace */
    124:   STSetType(st,STCAYLEY);
    125:   STSetUp(st);
    126:   STGetType(st,&type);
    127:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
    128:   STGetShift(st,&sigma);
    129:   STCayleyGetAntishift(st,&tau);
    130:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau));
    131:   STApply(st,v,w);
    132:   VecView(w,NULL);

    134:   /* cayley, sigma=1.1, tau=1.1 (still equal to sigma) */
    135:   sigma = 1.1;
    136:   STSetShift(st,sigma);
    137:   STGetShift(st,&sigma);
    138:   STCayleyGetAntishift(st,&tau);
    139:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau));
    140:   STApply(st,v,w);
    141:   VecView(w,NULL);

    143:   /* cayley, sigma=1.1, tau=-1.0 */
    144:   tau = -1.0;
    145:   STCayleySetAntishift(st,tau);
    146:   STGetShift(st,&sigma);
    147:   STCayleyGetAntishift(st,&tau);
    148:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau));
    149:   STApply(st,v,w);
    150:   VecView(w,NULL);

    152:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    153:                   Check inner product matrix in Cayley
    154:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    155:   STGetBilinearForm(st,&M);
    156:   MatMult(M,v,w);
    157:   VecView(w,NULL);

    159:   STDestroy(&st);
    160:   MatDestroy(&A);
    161:   MatDestroy(&B);
    162:   MatDestroy(&M);
    163:   VecDestroy(&v);
    164:   VecDestroy(&w);
    165:   SlepcFinalize();
    166:   return 0;
    167: }