Actual source code: test5.c
slepc-3.18.1 2022-11-02
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 operations with indefinite inner product.\n\n";
13: #include <slepcbv.h>
15: int main(int argc,char **argv)
16: {
17: Vec t,v,w,omega;
18: Mat B,M;
19: BV X,Y;
20: PetscInt i,j,n=10,k=5,l,Istart,Iend;
21: PetscScalar alpha;
22: PetscReal nrm;
23: PetscViewer view;
24: PetscBool verbose;
27: SlepcInitialize(&argc,&argv,(char*)0,help);
28: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
29: PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
30: PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
31: PetscPrintf(PETSC_COMM_WORLD,"Test BV with indefinite inner product (n=%" PetscInt_FMT ", k=%" PetscInt_FMT ").\n",n,k);
33: /* Create inner product matrix (standard involutionary permutation) */
34: MatCreate(PETSC_COMM_WORLD,&B);
35: MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
36: MatSetFromOptions(B);
37: MatSetUp(B);
38: PetscObjectSetName((PetscObject)B,"B");
40: MatGetOwnershipRange(B,&Istart,&Iend);
41: for (i=Istart;i<Iend;i++) MatSetValue(B,i,n-i-1,1.0,INSERT_VALUES);
42: MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
43: MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
44: MatCreateVecs(B,&t,NULL);
46: /* Create BV object X */
47: BVCreate(PETSC_COMM_WORLD,&X);
48: PetscObjectSetName((PetscObject)X,"X");
49: BVSetSizesFromVec(X,t,k);
50: BVSetFromOptions(X);
51: BVSetMatrix(X,B,PETSC_TRUE);
53: /* Set up viewer */
54: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
55: if (verbose) PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
57: /* Fill X entries */
58: l = -3;
59: for (j=0;j<k;j++) {
60: BVGetColumn(X,j,&v);
61: VecSet(v,-1.0);
62: for (i=0;i<n/2;i++) {
63: if (i+j<n) {
64: l = (l + 3*i+j-2) % n;
65: VecSetValue(v,i+j,(PetscScalar)l,INSERT_VALUES);
66: }
67: }
68: VecAssemblyBegin(v);
69: VecAssemblyEnd(v);
70: BVRestoreColumn(X,j,&v);
71: }
72: if (verbose) {
73: MatView(B,view);
74: BVView(X,view);
75: }
77: /* Test BVNormColumn */
78: BVNormColumn(X,0,NORM_2,&nrm);
79: PetscPrintf(PETSC_COMM_WORLD,"B-Norm of X[0] = %g\n",(double)nrm);
81: /* Test BVOrthogonalizeColumn */
82: for (j=0;j<k;j++) {
83: BVOrthogonalizeColumn(X,j,NULL,&nrm,NULL);
84: alpha = 1.0/nrm;
85: BVScaleColumn(X,j,alpha);
86: }
87: if (verbose) BVView(X,view);
89: /* Create a copy on Y */
90: BVDuplicate(X,&Y);
91: PetscObjectSetName((PetscObject)Y,"Y");
92: BVCopy(X,Y);
94: /* Check orthogonality */
95: MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
96: BVDot(Y,Y,M);
97: VecCreateSeq(PETSC_COMM_SELF,k,&omega);
98: BVGetSignature(Y,omega);
99: VecScale(omega,-1.0);
100: MatDiagonalSet(M,omega,ADD_VALUES);
101: MatNorm(M,NORM_1,&nrm);
102: if (nrm<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
103: else PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)nrm);
105: /* Test BVSetSignature */
106: VecScale(omega,-1.0);
107: BVSetSignature(Y,omega);
108: VecDestroy(&omega);
110: /* Test BVApplyMatrix */
111: VecDuplicate(t,&w);
112: BVGetColumn(X,0,&v);
113: BVApplyMatrix(X,v,w);
114: BVApplyMatrix(X,w,t);
115: VecAXPY(t,-1.0,v);
116: BVRestoreColumn(X,0,&v);
117: VecNorm(t,NORM_2,&nrm);
120: BVApplyMatrixBV(X,Y);
121: BVGetColumn(Y,0,&v);
122: VecAXPY(w,-1.0,v);
123: BVRestoreColumn(Y,0,&v);
124: VecNorm(w,NORM_2,&nrm);
127: BVDestroy(&X);
128: BVDestroy(&Y);
129: MatDestroy(&M);
130: MatDestroy(&B);
131: VecDestroy(&w);
132: VecDestroy(&t);
133: SlepcFinalize();
134: return 0;
135: }
137: /*TEST
139: testset:
140: output_file: output/test5_1.out
141: args: -bv_orthog_refine always
142: test:
143: suffix: 1
144: args: -bv_type {{vecs contiguous svec mat}shared output}
145: test:
146: suffix: 1_cuda
147: args: -bv_type svec -mat_type aijcusparse
148: requires: cuda
149: test:
150: suffix: 2
151: args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
152: test:
153: suffix: 2_cuda
154: args: -bv_type svec -mat_type aijcusparse -bv_orthog_type mgs
155: requires: cuda
157: TEST*/