Actual source code: test14.c
slepc-3.17.0 2022-03-31
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 created from a dense Mat.\n\n";
13: #include <slepcbv.h>
15: int main(int argc,char **argv)
16: {
17: BV X;
18: Mat A,B,M;
19: PetscInt i,j,n=20,k=8,Istart,Iend;
20: PetscViewer view;
21: PetscBool verbose;
22: PetscReal norm;
23: PetscScalar alpha;
25: SlepcInitialize(&argc,&argv,(char*)0,help);
26: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
27: PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
28: PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
29: PetscPrintf(PETSC_COMM_WORLD,"Test BV created from a dense Mat (length %" PetscInt_FMT ", k=%" PetscInt_FMT ").\n",n,k);
31: /* Create dense matrix */
32: MatCreate(PETSC_COMM_WORLD,&A);
33: MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,k);
34: MatSetType(A,MATDENSE);
35: MatSetUp(A);
36: MatGetOwnershipRange(A,&Istart,&Iend);
37: for (j=0;j<k;j++) {
38: for (i=0;i<=n/2;i++) {
39: if (i+j<n && i>=Istart && i<Iend) {
40: alpha = (3.0*i+j-2)/(2*(i+j+1));
41: MatSetValue(A,i+j,j,alpha,INSERT_VALUES);
42: }
43: }
44: }
45: MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
46: MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
48: /* Create BV object X */
49: BVCreateFromMat(A,&X);
50: BVSetFromOptions(X);
51: PetscObjectSetName((PetscObject)X,"X");
53: /* Set up viewer */
54: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
55: if (verbose) {
56: PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
57: BVView(X,view);
58: }
60: /* Test BVCreateMat */
61: BVCreateMat(X,&B);
62: MatAXPY(B,-1.0,A,SAME_NONZERO_PATTERN);
63: MatNorm(B,NORM_1,&norm);
64: if (norm<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Norm of difference < 100*eps\n");
65: else PetscPrintf(PETSC_COMM_WORLD,"Norm of difference: %g\n",(double)norm);
67: /* Test BVOrthogonalize */
68: BVOrthogonalize(X,NULL);
69: if (verbose) BVView(X,view);
71: /* Check orthogonality */
72: MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
73: MatShift(M,1.0); /* set leading part to identity */
74: BVDot(X,X,M);
75: MatShift(M,-1.0);
76: MatNorm(M,NORM_1,&norm);
77: if (norm<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
78: else PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
80: MatDestroy(&M);
81: MatDestroy(&A);
82: MatDestroy(&B);
83: BVDestroy(&X);
84: SlepcFinalize();
85: return 0;
86: }
88: /*TEST
90: test:
91: suffix: 1
92: nsize: 2
93: args: -bv_type {{vecs contiguous svec mat}shared output}
94: output_file: output/test14_1.out
96: TEST*/