Actual source code: test9.c

slepc-3.7.0 2016-05-16
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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 BV matrix projection.\n\n";

 24: #include <slepcbv.h>

 28: int main(int argc,char **argv)
 29: {
 31:   Vec            t,v;
 32:   Mat            B,G,H0,H1;
 33:   BV             X,Y,Z;
 34:   PetscInt       i,j,n=20,kx=6,lx=3,ky=5,ly=2,Istart,Iend,col[5];
 35:   PetscScalar    alpha,value[] = { -1, 1, 1, 1, 1 };
 36:   PetscViewer    view;
 37:   PetscReal      norm;
 38:   PetscBool      verbose;

 40:   SlepcInitialize(&argc,&argv,(char*)0,help);
 41:   PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
 42:   PetscOptionsGetInt(NULL,NULL,"-kx",&kx,NULL);
 43:   PetscOptionsGetInt(NULL,NULL,"-lx",&lx,NULL);
 44:   PetscOptionsGetInt(NULL,NULL,"-ky",&ky,NULL);
 45:   PetscOptionsGetInt(NULL,NULL,"-ly",&ly,NULL);
 46:   PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
 47:   PetscPrintf(PETSC_COMM_WORLD,"Test BV projection (n=%D).\n",n);
 48:   PetscPrintf(PETSC_COMM_WORLD,"X has %D active columns (%D leading columns).\n",kx,lx);
 49:   PetscPrintf(PETSC_COMM_WORLD,"Y has %D active columns (%D leading columns).\n",ky,ly);

 51:   /* Set up viewer */
 52:   PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
 53:   if (verbose) {
 54:     PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
 55:   }

 57:   /* Create non-symmetric matrix G (Toeplitz) */
 58:   MatCreate(PETSC_COMM_WORLD,&G);
 59:   MatSetSizes(G,PETSC_DECIDE,PETSC_DECIDE,n,n);
 60:   MatSetFromOptions(G);
 61:   MatSetUp(G);
 62:   PetscObjectSetName((PetscObject)G,"G");

 64:   MatGetOwnershipRange(G,&Istart,&Iend);
 65:   for (i=Istart;i<Iend;i++) {
 66:     col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
 67:     if (i==0) {
 68:       MatSetValues(G,1,&i,PetscMin(4,n-i),col+1,value+1,INSERT_VALUES);
 69:     } else {
 70:       MatSetValues(G,1,&i,PetscMin(5,n-i+1),col,value,INSERT_VALUES);
 71:     }
 72:   }
 73:   MatAssemblyBegin(G,MAT_FINAL_ASSEMBLY);
 74:   MatAssemblyEnd(G,MAT_FINAL_ASSEMBLY);
 75:   if (verbose) {
 76:     MatView(G,view);
 77:   }

 79:   /* Create symmetric matrix B (1-D Laplacian) */
 80:   MatCreate(PETSC_COMM_WORLD,&B);
 81:   MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
 82:   MatSetFromOptions(B);
 83:   MatSetUp(B);
 84:   PetscObjectSetName((PetscObject)B,"B");

 86:   MatGetOwnershipRange(B,&Istart,&Iend);
 87:   for (i=Istart;i<Iend;i++) {
 88:     if (i>0) { MatSetValue(B,i,i-1,-1.0,INSERT_VALUES); }
 89:     if (i<n-1) { MatSetValue(B,i,i+1,-1.0,INSERT_VALUES); }
 90:     MatSetValue(B,i,i,2.0,INSERT_VALUES);
 91:   }
 92:   MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
 93:   MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
 94:   MatCreateVecs(B,&t,NULL);
 95:   if (verbose) {
 96:     MatView(B,view);
 97:   }

 99:   /* Create BV object X */
100:   BVCreate(PETSC_COMM_WORLD,&X);
101:   PetscObjectSetName((PetscObject)X,"X");
102:   BVSetSizesFromVec(X,t,kx+2);  /* two extra columns to test active columns */
103:   BVSetFromOptions(X);

105:   /* Fill X entries */
106:   for (j=0;j<kx+2;j++) {
107:     BVGetColumn(X,j,&v);
108:     VecSet(v,0.0);
109:     for (i=0;i<4;i++) {
110:       if (i+j<n) {
111: #if defined(PETSC_USE_COMPLEX)
112:         alpha = (PetscReal)(3*i+j-2)+(PetscReal)(2*i)*PETSC_i;
113: #else
114:         alpha = (PetscReal)(3*i+j-2);
115: #endif
116:         VecSetValue(v,i+j,alpha,INSERT_VALUES);
117:       }
118:     }
119:     VecAssemblyBegin(v);
120:     VecAssemblyEnd(v);
121:     BVRestoreColumn(X,j,&v);
122:   }
123:   if (verbose) {
124:     BVView(X,view);
125:   }

127:   /* Duplicate BV object and store Z=G*X */
128:   BVDuplicate(X,&Z);
129:   PetscObjectSetName((PetscObject)Z,"Z");
130:   BVSetActiveColumns(X,0,kx);
131:   BVMatMult(X,G,Z);
132:   BVSetActiveColumns(X,lx,kx);
133:   BVSetActiveColumns(Z,lx,kx);

135:   /* Create BV object Y */
136:   BVCreate(PETSC_COMM_WORLD,&Y);
137:   PetscObjectSetName((PetscObject)Y,"Y");
138:   BVSetSizesFromVec(Y,t,ky+1);
139:   BVSetFromOptions(Y);
140:   BVSetActiveColumns(Y,ly,ky);

142:   /* Fill Y entries */
143:   for (j=0;j<ky+1;j++) {
144:     BVGetColumn(Y,j,&v);
145: #if defined(PETSC_USE_COMPLEX)
146:     alpha = (PetscReal)(j+1)/4.0-(PetscReal)j*PETSC_i;
147: #else
148:     alpha = (PetscReal)(j+1)/4.0;
149: #endif
150:     VecSet(v,(PetscScalar)(j+1)/4.0);
151:     BVRestoreColumn(Y,j,&v);
152:   }
153:   if (verbose) {
154:     BVView(Y,view);
155:   }

157:   /* Test BVMatProject for non-symmetric matrix G */
158:   MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H0);
159:   PetscObjectSetName((PetscObject)H0,"H0");
160:   BVMatProject(X,G,Y,H0);
161:   if (verbose) {
162:     MatView(H0,view);
163:   }

165:   /* Test BVMatProject with previously stored G*X */
166:   MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H1);
167:   PetscObjectSetName((PetscObject)H1,"H1");
168:   BVMatProject(Z,NULL,Y,H1);
169:   if (verbose) {
170:     MatView(H1,view);
171:   }

173:   /* Check that H0 and H1 are equal */
174:   MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN);
175:   MatNorm(H0,NORM_1,&norm);
176:   if (norm<10*PETSC_MACHINE_EPSILON) {
177:     PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n");
178:   } else {
179:     PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm);
180:   }
181:   MatDestroy(&H0);
182:   MatDestroy(&H1);

184:   /* Test BVMatProject for symmetric matrix B with orthogonal projection */
185:   MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H0);
186:   PetscObjectSetName((PetscObject)H0,"H0");
187:   BVMatProject(X,B,X,H0);
188:   if (verbose) {
189:     MatView(H0,view);
190:   }

192:   /* Repeat previous test with symmetry flag set */
193:   MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE);
194:   MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H1);
195:   PetscObjectSetName((PetscObject)H1,"H1");
196:   BVMatProject(X,B,X,H1);
197:   if (verbose) {
198:     MatView(H1,view);
199:   }

201:   /* Check that H0 and H1 are equal */
202:   MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN);
203:   MatNorm(H0,NORM_1,&norm);
204:   if (norm<10*PETSC_MACHINE_EPSILON) {
205:     PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n");
206:   } else {
207:     PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm);
208:   }
209:   MatDestroy(&H0);
210:   MatDestroy(&H1);

212:   BVDestroy(&X);
213:   BVDestroy(&Y);
214:   BVDestroy(&Z);
215:   MatDestroy(&B);
216:   MatDestroy(&G);
217:   VecDestroy(&t);
218:   SlepcFinalize();
219:   return ierr;
220: }