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

Actual source code: test4.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 four matrices.\n\n";

     24: #include <slepcst.h>

     28: int main(int argc,char **argv)
     29: {
     30:   Mat            A,B,C,D,mat[4];
     31:   ST             st;
     32:   KSP            ksp;
     33:   Vec            v,w;
     34:   STType         type;
     35:   PetscScalar    sigma;
     36:   PetscInt       n=10,i,Istart,Iend;

     39:   SlepcInitialize(&argc,&argv,(char*)0,help);
     40:   PetscOptionsGetInt(NULL,"-n",&n,NULL);
     41:   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:   MatCreate(PETSC_COMM_WORLD,&C);
     57:   MatSetSizes(C,PETSC_DECIDE,PETSC_DECIDE,n,n);
     58:   MatSetFromOptions(C);
     59:   MatSetUp(C);

     61:   MatCreate(PETSC_COMM_WORLD,&D);
     62:   MatSetSizes(D,PETSC_DECIDE,PETSC_DECIDE,n,n);
     63:   MatSetFromOptions(D);
     64:   MatSetUp(D);

     66:   MatGetOwnershipRange(A,&Istart,&Iend);
     67:   for (i=Istart;i<Iend;i++) {
     68:     MatSetValue(A,i,i,2.0,INSERT_VALUES);
     69:     if (i>0) {
     70:       MatSetValue(A,i,i-1,-1.0,INSERT_VALUES);
     71:       MatSetValue(B,i,i,(PetscScalar)i,INSERT_VALUES);
     72:     } else {
     73:       MatSetValue(B,i,i,-1.0,INSERT_VALUES);
     74:     }
     75:     if (i<n-1) {
     76:       MatSetValue(A,i,i+1,-1.0,INSERT_VALUES);
     77:     }
     78:     MatSetValue(C,i,n-i-1,1.0,INSERT_VALUES);
     79:     MatSetValue(D,i,i,i*.1,INSERT_VALUES);
     80:     if (i==0) {
     81:       MatSetValue(D,0,n-1,1.0,INSERT_VALUES);
     82:     }
     83:     if (i==n-1) {
     84:       MatSetValue(D,n-1,0,1.0,INSERT_VALUES);
     85:     }
     86:   }

     88:   MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
     89:   MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
     90:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
     91:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
     92:   MatAssemblyBegin(C,MAT_FINAL_ASSEMBLY);
     93:   MatAssemblyEnd(C,MAT_FINAL_ASSEMBLY);
     94:   MatAssemblyBegin(D,MAT_FINAL_ASSEMBLY);
     95:   MatAssemblyEnd(D,MAT_FINAL_ASSEMBLY);
     96:   MatCreateVecs(A,&v,&w);
     97:   VecSet(v,1.0);

     99:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    100:                 Create the spectral transformation object
    101:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    102:   STCreate(PETSC_COMM_WORLD,&st);
    103:   mat[0] = A;
    104:   mat[1] = B;
    105:   mat[2] = C;
    106:   mat[3] = D;
    107:   STSetOperators(st,4,mat);
    108:   STGetKSP(st,&ksp);
    109:   KSPSetTolerances(ksp,100*PETSC_MACHINE_EPSILON,PETSC_DEFAULT,PETSC_DEFAULT,PETSC_DEFAULT);
    110:   STSetFromOptions(st);
    111:   /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    112:               Apply the transformed operator for several ST's
    113:      - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
    114:   /* shift, sigma=0.0 */
    115:   STSetUp(st);
    116:   STGetType(st,&type);
    117:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
    118:   for (i=0;i<4;i++) {
    119:     STMatMult(st,i,v,w);
    120:     PetscPrintf(PETSC_COMM_WORLD,"k= %D\n",i);
    121:     VecView(w,NULL);
    122:   }
    123:   STMatSolve(st,v,w);
    124:   PetscPrintf(PETSC_COMM_WORLD,"solve\n");
    125:   VecView(w,NULL);

    127:   /* shift, sigma=0.1 */
    128:   sigma = 0.1;
    129:   STSetShift(st,sigma);
    130:   STGetShift(st,&sigma);
    131:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    132:   for (i=0;i<4;i++) {
    133:     STMatMult(st,i,v,w);
    134:     PetscPrintf(PETSC_COMM_WORLD,"k= %D\n",i);
    135:     VecView(w,NULL);
    136:   }
    137:   STMatSolve(st,v,w);
    138:   PetscPrintf(PETSC_COMM_WORLD,"solve\n");
    139:   VecView(w,NULL);

    141:   /* sinvert, sigma=0.1 */
    142:   STPostSolve(st);
    143:   STSetType(st,STSINVERT);
    144:   STGetType(st,&type);
    145:   PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type);
    146:   STGetShift(st,&sigma);
    147:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    148:   for (i=0;i<4;i++) {
    149:     STMatMult(st,i,v,w);
    150:     PetscPrintf(PETSC_COMM_WORLD,"k= %D\n",i);
    151:     VecView(w,NULL);
    152:   }
    153:   STMatSolve(st,v,w);
    154:   PetscPrintf(PETSC_COMM_WORLD,"solve\n");
    155:   VecView(w,NULL);

    157:   /* sinvert, sigma=-0.5 */
    158:   sigma = -0.5;
    159:   STSetShift(st,sigma);
    160:   STGetShift(st,&sigma);
    161:   PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma));
    162:   for (i=0;i<4;i++) {
    163:     STMatMult(st,i,v,w);
    164:     PetscPrintf(PETSC_COMM_WORLD,"k= %D\n",i);
    165:     VecView(w,NULL);
    166:   }
    167:   STMatSolve(st,v,w);
    168:   PetscPrintf(PETSC_COMM_WORLD,"solve\n");
    169:   VecView(w,NULL);
    170:   STDestroy(&st);
    171:   MatDestroy(&A);
    172:   MatDestroy(&B);
    173:   MatDestroy(&C);
    174:   MatDestroy(&D);
    175:   VecDestroy(&v);
    176:   VecDestroy(&w);
    177:   SlepcFinalize();
    178:   return 0;
    179: }