Actual source code: test6.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 orthogonalization functions with constraints.\n\n";
13: #include <slepcbv.h>
15: int main(int argc,char **argv)
16: {
18: BV X;
19: Mat M;
20: Vec v,t,*C;
21: PetscInt i,j,n=20,k=8,nc=2,nloc;
22: PetscViewer view;
23: PetscBool verbose;
24: PetscReal norm;
25: PetscScalar alpha;
27: SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
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 %D columns + %D constraints, of length %D.\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++) {
51: VecSetValue(C[j],i,1.0,INSERT_VALUES);
52: }
53: VecAssemblyBegin(C[j]);
54: VecAssemblyEnd(C[j]);
55: }
56: BVInsertConstraints(X,&nc,C);
57: VecDestroyVecs(nc,&C);
58: }
60: /* Set up viewer */
61: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
62: if (verbose) {
63: PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
64: }
66: /* Fill X entries */
67: for (j=0;j<k;j++) {
68: BVGetColumn(X,j,&v);
69: VecSet(v,0.0);
70: for (i=0;i<=n/2;i++) {
71: if (i+j<n) {
72: alpha = (3.0*i+j-2)/(2*(i+j+1));
73: VecSetValue(v,i+j,alpha,INSERT_VALUES);
74: }
75: }
76: VecAssemblyBegin(v);
77: VecAssemblyEnd(v);
78: BVRestoreColumn(X,j,&v);
79: }
80: if (verbose) {
81: BVView(X,view);
82: }
84: /* Test BVOrthogonalizeColumn */
85: for (j=0;j<k;j++) {
86: BVOrthogonalizeColumn(X,j,NULL,&norm,NULL);
87: alpha = 1.0/norm;
88: BVScaleColumn(X,j,alpha);
89: }
90: if (verbose) {
91: BVView(X,view);
92: }
94: /* Check orthogonality */
95: MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
96: BVDot(X,X,M);
97: MatShift(M,-1.0);
98: MatNorm(M,NORM_1,&norm);
99: if (norm<100*PETSC_MACHINE_EPSILON) {
100: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
101: } else {
102: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
103: }
105: MatDestroy(&M);
106: BVDestroy(&X);
107: VecDestroy(&t);
108: SlepcFinalize();
109: return ierr;
110: }
112: /*TEST
114: test:
115: suffix: 1
116: nsize: 1
117: args: -bv_type {{vecs contiguous svec mat}shared output}
118: output_file: output/test6_1.out
120: test:
121: suffix: 1_cuda
122: nsize: 1
123: args: -bv_type svec -vec_type cuda
124: requires: cuda
125: output_file: output/test6_1.out
127: test:
128: suffix: 2
129: nsize: 2
130: args: -bv_type {{vecs contiguous svec mat}shared output}
131: output_file: output/test6_1.out
133: test:
134: suffix: 3
135: nsize: 1
136: args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
137: output_file: output/test6_1.out
139: test:
140: suffix: 3_cuda
141: nsize: 1
142: args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
143: requires: cuda
144: output_file: output/test6_1.out
146: TEST*/