Actual source code: test5.c
slepc-3.17.2 2022-08-09
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;
26: SlepcInitialize(&argc,&argv,(char*)0,help);
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 with indefinite inner product (n=%" PetscInt_FMT ", k=%" PetscInt_FMT ").\n",n,k);
32: /* Create inner product matrix (standard involutionary permutation) */
33: MatCreate(PETSC_COMM_WORLD,&B);
34: MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
35: MatSetFromOptions(B);
36: MatSetUp(B);
37: PetscObjectSetName((PetscObject)B,"B");
39: MatGetOwnershipRange(B,&Istart,&Iend);
40: for (i=Istart;i<Iend;i++) MatSetValue(B,i,n-i-1,1.0,INSERT_VALUES);
41: MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
42: MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
43: MatCreateVecs(B,&t,NULL);
45: /* Create BV object X */
46: BVCreate(PETSC_COMM_WORLD,&X);
47: PetscObjectSetName((PetscObject)X,"X");
48: BVSetSizesFromVec(X,t,k);
49: BVSetFromOptions(X);
50: BVSetMatrix(X,B,PETSC_TRUE);
52: /* Set up viewer */
53: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
54: if (verbose) PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
56: /* Fill X entries */
57: l = -3;
58: for (j=0;j<k;j++) {
59: BVGetColumn(X,j,&v);
60: VecSet(v,-1.0);
61: for (i=0;i<n/2;i++) {
62: if (i+j<n) {
63: l = (l + 3*i+j-2) % n;
64: VecSetValue(v,i+j,(PetscScalar)l,INSERT_VALUES);
65: }
66: }
67: VecAssemblyBegin(v);
68: VecAssemblyEnd(v);
69: BVRestoreColumn(X,j,&v);
70: }
71: if (verbose) {
72: MatView(B,view);
73: BVView(X,view);
74: }
76: /* Test BVNormColumn */
77: BVNormColumn(X,0,NORM_2,&nrm);
78: PetscPrintf(PETSC_COMM_WORLD,"B-Norm of X[0] = %g\n",(double)nrm);
80: /* Test BVOrthogonalizeColumn */
81: for (j=0;j<k;j++) {
82: BVOrthogonalizeColumn(X,j,NULL,&nrm,NULL);
83: alpha = 1.0/nrm;
84: BVScaleColumn(X,j,alpha);
85: }
86: if (verbose) BVView(X,view);
88: /* Create a copy on Y */
89: BVDuplicate(X,&Y);
90: PetscObjectSetName((PetscObject)Y,"Y");
91: BVCopy(X,Y);
93: /* Check orthogonality */
94: MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
95: BVDot(Y,Y,M);
96: VecCreateSeq(PETSC_COMM_SELF,k,&omega);
97: BVGetSignature(Y,omega);
98: VecScale(omega,-1.0);
99: MatDiagonalSet(M,omega,ADD_VALUES);
100: MatNorm(M,NORM_1,&nrm);
101: if (nrm<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
102: else PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)nrm);
104: /* Test BVSetSignature */
105: VecScale(omega,-1.0);
106: BVSetSignature(Y,omega);
107: VecDestroy(&omega);
109: /* Test BVApplyMatrix */
110: VecDuplicate(t,&w);
111: BVGetColumn(X,0,&v);
112: BVApplyMatrix(X,v,w);
113: BVApplyMatrix(X,w,t);
114: VecAXPY(t,-1.0,v);
115: BVRestoreColumn(X,0,&v);
116: VecNorm(t,NORM_2,&nrm);
119: BVApplyMatrixBV(X,Y);
120: BVGetColumn(Y,0,&v);
121: VecAXPY(w,-1.0,v);
122: BVRestoreColumn(Y,0,&v);
123: VecNorm(w,NORM_2,&nrm);
126: BVDestroy(&X);
127: BVDestroy(&Y);
128: MatDestroy(&M);
129: MatDestroy(&B);
130: VecDestroy(&w);
131: VecDestroy(&t);
132: SlepcFinalize();
133: return 0;
134: }
136: /*TEST
138: testset:
139: output_file: output/test5_1.out
140: args: -bv_orthog_refine always
141: test:
142: suffix: 1
143: args: -bv_type {{vecs contiguous svec mat}shared output}
144: test:
145: suffix: 1_cuda
146: args: -bv_type svec -mat_type aijcusparse
147: requires: cuda
148: test:
149: suffix: 2
150: args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
151: test:
152: suffix: 2_cuda
153: args: -bv_type svec -mat_type aijcusparse -bv_orthog_type mgs
154: requires: cuda
156: TEST*/