Actual source code: test4.c

slepc-3.7.4 2017-05-17
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  1: /*
  2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
  4:    Copyright (c) 2002-2016, 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,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 ierr;
179: }