Actual source code: test6.c
slepc-3.18.3 2023-03-24
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 orthogonalization functions with constraints.\n\n";
13: #include <slepcbv.h>
15: int main(int argc,char **argv)
16: {
17: BV X;
18: Mat M;
19: Vec v,t,*C;
20: PetscInt i,j,n=20,k=8,nc=2,nloc;
21: PetscViewer view;
22: PetscBool verbose;
23: PetscReal norm;
24: PetscScalar alpha;
27: SlepcInitialize(&argc,&argv,(char*)0,help);
28: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
29: PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
30: PetscOptionsGetInt(NULL,NULL,"-nc",&nc,NULL);
31: PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
32: PetscPrintf(PETSC_COMM_WORLD,"Test BV orthogonalization with %" PetscInt_FMT " columns + %" PetscInt_FMT " constraints, of length %" PetscInt_FMT ".\n",k,nc,n);
34: /* Create template vector */
35: VecCreate(PETSC_COMM_WORLD,&t);
36: VecSetSizes(t,PETSC_DECIDE,n);
37: VecSetFromOptions(t);
38: VecGetLocalSize(t,&nloc);
40: /* Create BV object X */
41: BVCreate(PETSC_COMM_WORLD,&X);
42: PetscObjectSetName((PetscObject)X,"X");
43: BVSetSizes(X,nloc,n,k);
44: BVSetFromOptions(X);
46: /* Generate constraints and attach them to X */
47: if (nc>0) {
48: VecDuplicateVecs(t,nc,&C);
49: for (j=0;j<nc;j++) {
50: for (i=0;i<=j;i++) VecSetValue(C[j],i,1.0,INSERT_VALUES);
51: VecAssemblyBegin(C[j]);
52: VecAssemblyEnd(C[j]);
53: }
54: BVInsertConstraints(X,&nc,C);
55: VecDestroyVecs(nc,&C);
56: }
58: /* Set up viewer */
59: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
60: if (verbose) PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
62: /* Fill X entries */
63: for (j=0;j<k;j++) {
64: BVGetColumn(X,j,&v);
65: VecSet(v,0.0);
66: for (i=0;i<=n/2;i++) {
67: if (i+j<n) {
68: alpha = (3.0*i+j-2)/(2*(i+j+1));
69: VecSetValue(v,i+j,alpha,INSERT_VALUES);
70: }
71: }
72: VecAssemblyBegin(v);
73: VecAssemblyEnd(v);
74: BVRestoreColumn(X,j,&v);
75: }
76: if (verbose) BVView(X,view);
78: /* Test BVOrthogonalizeColumn */
79: for (j=0;j<k;j++) {
80: BVOrthogonalizeColumn(X,j,NULL,&norm,NULL);
81: alpha = 1.0/norm;
82: BVScaleColumn(X,j,alpha);
83: }
84: if (verbose) BVView(X,view);
86: /* Check orthogonality */
87: MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
88: BVDot(X,X,M);
89: MatShift(M,-1.0);
90: MatNorm(M,NORM_1,&norm);
91: if (norm<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
92: else PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
94: MatDestroy(&M);
95: BVDestroy(&X);
96: VecDestroy(&t);
97: SlepcFinalize();
98: return 0;
99: }
101: /*TEST
103: testset:
104: output_file: output/test6_1.out
105: test:
106: suffix: 1
107: args: -bv_type {{vecs contiguous svec mat}shared output}
108: test:
109: suffix: 1_cuda
110: args: -bv_type svec -vec_type cuda
111: requires: cuda
112: test:
113: suffix: 2
114: nsize: 2
115: args: -bv_type {{vecs contiguous svec mat}shared output}
116: test:
117: suffix: 3
118: args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
119: test:
120: suffix: 3_cuda
121: args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
122: requires: cuda
124: TEST*/