Actual source code: test14.c
slepc-3.11.2 2019-07-30
1: /*
2: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3: SLEPc - Scalable Library for Eigenvalue Problem Computations
4: Copyright (c) 2002-2019, 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: {
18: BV X;
19: Mat A,B,M;
20: PetscInt i,j,n=20,k=8,Istart,Iend;
21: PetscViewer view;
22: PetscBool verbose;
23: PetscReal norm;
24: PetscScalar alpha;
26: SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
27: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
28: PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
29: PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
30: PetscPrintf(PETSC_COMM_WORLD,"Test BV created from a dense Mat (length %D, k=%D).\n",n,k);
32: /* Create dense matrix */
33: MatCreate(PETSC_COMM_WORLD,&A);
34: MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,k);
35: MatSetType(A,MATDENSE);
36: MatSetUp(A);
37: MatGetOwnershipRange(A,&Istart,&Iend);
38: for (j=0;j<k;j++) {
39: for (i=0;i<=n/2;i++) {
40: if (i+j<n && i>=Istart && i<Iend) {
41: alpha = (3.0*i+j-2)/(2*(i+j+1));
42: MatSetValue(A,i+j,j,alpha,INSERT_VALUES);
43: }
44: }
45: }
46: MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
47: MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
49: /* Create BV object X */
50: BVCreateFromMat(A,&X);
51: BVSetFromOptions(X);
52: PetscObjectSetName((PetscObject)X,"X");
54: /* Set up viewer */
55: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
56: if (verbose) {
57: PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
58: BVView(X,view);
59: }
61: /* Test BVCreateMat */
62: BVCreateMat(X,&B);
63: MatAXPY(B,-1.0,A,SAME_NONZERO_PATTERN);
64: MatNorm(B,NORM_1,&norm);
65: if (norm<100*PETSC_MACHINE_EPSILON) {
66: PetscPrintf(PETSC_COMM_WORLD,"Norm of difference < 100*eps\n");
67: } else {
68: PetscPrintf(PETSC_COMM_WORLD,"Norm of difference: %g\n",(double)norm);
69: }
71: /* Test BVOrthogonalize */
72: BVOrthogonalize(X,NULL);
73: if (verbose) {
74: BVView(X,view);
75: }
77: /* Check orthogonality */
78: MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
79: MatShift(M,1.0); /* set leading part to identity */
80: BVDot(X,X,M);
81: MatShift(M,-1.0);
82: MatNorm(M,NORM_1,&norm);
83: if (norm<100*PETSC_MACHINE_EPSILON) {
84: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
85: } else {
86: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
87: }
89: MatDestroy(&M);
90: MatDestroy(&A);
91: MatDestroy(&B);
92: BVDestroy(&X);
93: SlepcFinalize();
94: return ierr;
95: }
97: /*TEST
99: test:
100: suffix: 1
101: nsize: 2
102: args: -bv_type {{vecs contiguous svec mat}shared output}
103: output_file: output/test14_1.out
105: TEST*/