Actual source code: test9.c

slepc-3.20.1 2023-11-27
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  1: /*
  2:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  3:    SLEPc - Scalable Library for Eigenvalue Problem Computations
  4:    Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain

  6:    This file is part of SLEPc.
  7:    SLEPc is distributed under a 2-clause BSD license (see LICENSE).
  8:    - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
  9: */

 11: static char help[] = "Test BV matrix projection.\n\n";

 13: #include <slepcbv.h>

 15: int main(int argc,char **argv)
 16: {
 17:   Vec            t,v;
 18:   Mat            B,G,H0,H1;
 19:   BV             X,Y,Z;
 20:   PetscInt       i,j,n=20,kx=6,lx=3,ky=5,ly=2,Istart,Iend,col[5];
 21:   PetscScalar    alpha,value[] = { -1, 1, 1, 1, 1 };
 22:   PetscViewer    view;
 23:   PetscReal      norm;
 24:   PetscBool      verbose;

 26:   PetscFunctionBeginUser;
 27:   PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
 28:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
 29:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-kx",&kx,NULL));
 30:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-lx",&lx,NULL));
 31:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-ky",&ky,NULL));
 32:   PetscCall(PetscOptionsGetInt(NULL,NULL,"-ly",&ly,NULL));
 33:   PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
 34:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test BV projection (n=%" PetscInt_FMT ").\n",n));
 35:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"X has %" PetscInt_FMT " active columns (%" PetscInt_FMT " leading columns).\n",kx,lx));
 36:   PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Y has %" PetscInt_FMT " active columns (%" PetscInt_FMT " leading columns).\n",ky,ly));

 38:   /* Set up viewer */
 39:   PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view));
 40:   if (verbose) PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB));

 42:   /* Create non-symmetric matrix G (Toeplitz) */
 43:   PetscCall(MatCreate(PETSC_COMM_WORLD,&G));
 44:   PetscCall(MatSetSizes(G,PETSC_DECIDE,PETSC_DECIDE,n,n));
 45:   PetscCall(MatSetFromOptions(G));
 46:   PetscCall(MatSetUp(G));
 47:   PetscCall(PetscObjectSetName((PetscObject)G,"G"));

 49:   PetscCall(MatGetOwnershipRange(G,&Istart,&Iend));
 50:   for (i=Istart;i<Iend;i++) {
 51:     col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
 52:     if (i==0) PetscCall(MatSetValues(G,1,&i,PetscMin(4,n-i),col+1,value+1,INSERT_VALUES));
 53:     else PetscCall(MatSetValues(G,1,&i,PetscMin(5,n-i+1),col,value,INSERT_VALUES));
 54:   }
 55:   PetscCall(MatAssemblyBegin(G,MAT_FINAL_ASSEMBLY));
 56:   PetscCall(MatAssemblyEnd(G,MAT_FINAL_ASSEMBLY));
 57:   if (verbose) PetscCall(MatView(G,view));

 59:   /* Create symmetric matrix B (1-D Laplacian) */
 60:   PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
 61:   PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n));
 62:   PetscCall(MatSetFromOptions(B));
 63:   PetscCall(MatSetUp(B));
 64:   PetscCall(PetscObjectSetName((PetscObject)B,"B"));

 66:   PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
 67:   for (i=Istart;i<Iend;i++) {
 68:     if (i>0) PetscCall(MatSetValue(B,i,i-1,-1.0,INSERT_VALUES));
 69:     if (i<n-1) PetscCall(MatSetValue(B,i,i+1,-1.0,INSERT_VALUES));
 70:     PetscCall(MatSetValue(B,i,i,2.0,INSERT_VALUES));
 71:   }
 72:   PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
 73:   PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
 74:   PetscCall(MatCreateVecs(B,&t,NULL));
 75:   if (verbose) PetscCall(MatView(B,view));

 77:   /* Create BV object X */
 78:   PetscCall(BVCreate(PETSC_COMM_WORLD,&X));
 79:   PetscCall(PetscObjectSetName((PetscObject)X,"X"));
 80:   PetscCall(BVSetSizesFromVec(X,t,kx+2));  /* two extra columns to test active columns */
 81:   PetscCall(BVSetFromOptions(X));

 83:   /* Fill X entries */
 84:   for (j=0;j<kx+2;j++) {
 85:     PetscCall(BVGetColumn(X,j,&v));
 86:     PetscCall(VecSet(v,0.0));
 87:     for (i=0;i<4;i++) {
 88:       if (i+j<n) {
 89: #if defined(PETSC_USE_COMPLEX)
 90:         alpha = PetscCMPLX((PetscReal)(3*i+j-2),(PetscReal)(2*i));
 91: #else
 92:         alpha = (PetscReal)(3*i+j-2);
 93: #endif
 94:         PetscCall(VecSetValue(v,i+j,alpha,INSERT_VALUES));
 95:       }
 96:     }
 97:     PetscCall(VecAssemblyBegin(v));
 98:     PetscCall(VecAssemblyEnd(v));
 99:     PetscCall(BVRestoreColumn(X,j,&v));
100:   }
101:   if (verbose) PetscCall(BVView(X,view));

103:   /* Duplicate BV object and store Z=G*X */
104:   PetscCall(BVDuplicate(X,&Z));
105:   PetscCall(PetscObjectSetName((PetscObject)Z,"Z"));
106:   PetscCall(BVSetActiveColumns(X,0,kx));
107:   PetscCall(BVSetActiveColumns(Z,0,kx));
108:   PetscCall(BVMatMult(X,G,Z));
109:   PetscCall(BVSetActiveColumns(X,lx,kx));
110:   PetscCall(BVSetActiveColumns(Z,lx,kx));

112:   /* Create BV object Y */
113:   PetscCall(BVCreate(PETSC_COMM_WORLD,&Y));
114:   PetscCall(PetscObjectSetName((PetscObject)Y,"Y"));
115:   PetscCall(BVSetSizesFromVec(Y,t,ky+1));
116:   PetscCall(BVSetFromOptions(Y));
117:   PetscCall(BVSetActiveColumns(Y,ly,ky));

119:   /* Fill Y entries */
120:   for (j=0;j<ky+1;j++) {
121:     PetscCall(BVGetColumn(Y,j,&v));
122: #if defined(PETSC_USE_COMPLEX)
123:     alpha = PetscCMPLX((PetscReal)(j+1)/4.0,-(PetscReal)j);
124: #else
125:     alpha = (PetscReal)(j+1)/4.0;
126: #endif
127:     PetscCall(VecSet(v,(PetscScalar)(j+1)/4.0));
128:     PetscCall(BVRestoreColumn(Y,j,&v));
129:   }
130:   if (verbose) PetscCall(BVView(Y,view));

132:   /* Test BVMatProject for non-symmetric matrix G */
133:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H0));
134:   PetscCall(PetscObjectSetName((PetscObject)H0,"H0"));
135:   PetscCall(BVMatProject(X,G,Y,H0));
136:   if (verbose) PetscCall(MatView(H0,view));

138:   /* Test BVMatProject with previously stored G*X */
139:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H1));
140:   PetscCall(PetscObjectSetName((PetscObject)H1,"H1"));
141:   PetscCall(BVMatProject(Z,NULL,Y,H1));
142:   if (verbose) PetscCall(MatView(H1,view));

144:   /* Check that H0 and H1 are equal */
145:   PetscCall(MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN));
146:   PetscCall(MatNorm(H0,NORM_1,&norm));
147:   if (norm<10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n"));
148:   else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm));
149:   PetscCall(MatDestroy(&H0));
150:   PetscCall(MatDestroy(&H1));

152:   /* Test BVMatProject for symmetric matrix B with orthogonal projection */
153:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H0));
154:   PetscCall(PetscObjectSetName((PetscObject)H0,"H0"));
155:   PetscCall(BVMatProject(X,B,X,H0));
156:   if (verbose) PetscCall(MatView(H0,view));

158:   /* Repeat previous test with symmetry flag set */
159:   PetscCall(MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE));
160:   PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H1));
161:   PetscCall(PetscObjectSetName((PetscObject)H1,"H1"));
162:   PetscCall(BVMatProject(X,B,X,H1));
163:   if (verbose) PetscCall(MatView(H1,view));

165:   /* Check that H0 and H1 are equal */
166:   PetscCall(MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN));
167:   PetscCall(MatNorm(H0,NORM_1,&norm));
168:   if (norm<10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n"));
169:   else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm));
170:   PetscCall(MatDestroy(&H0));
171:   PetscCall(MatDestroy(&H1));

173:   PetscCall(BVDestroy(&X));
174:   PetscCall(BVDestroy(&Y));
175:   PetscCall(BVDestroy(&Z));
176:   PetscCall(MatDestroy(&B));
177:   PetscCall(MatDestroy(&G));
178:   PetscCall(VecDestroy(&t));
179:   PetscCall(SlepcFinalize());
180:   return 0;
181: }

183: /*TEST

185:    testset:
186:       output_file: output/test9_1.out
187:       test:
188:          suffix: 1
189:          args: -bv_type {{vecs contiguous svec mat}shared output}
190:       test:
191:          suffix: 1_svec_vecs
192:          args: -bv_type svec -bv_matmult vecs
193:       test:
194:          suffix: 1_cuda
195:          args: -bv_type {{svec mat}} -mat_type aijcusparse
196:          requires: cuda
197:       test:
198:          suffix: 2
199:          nsize: 2
200:          args: -bv_type {{vecs contiguous svec mat}shared output}
201:       test:
202:          suffix: 2_svec_vecs
203:          nsize: 2
204:          args: -bv_type svec -bv_matmult vecs

206: TEST*/