Actual source code: test3.c
slepc-3.17.1 2022-04-11
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 non-standard inner product.\n\n";
13: #include <slepcbv.h>
15: int main(int argc,char **argv)
16: {
17: Vec t,v;
18: Mat B,M;
19: BV X;
20: PetscInt i,j,n=10,k=5,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 non-standard inner product (n=%" PetscInt_FMT ", k=%" PetscInt_FMT ").\n",n,k);
32: /* Create inner product matrix */
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++) {
41: if (i>0) MatSetValue(B,i,i-1,-1.0,INSERT_VALUES);
42: if (i<n-1) MatSetValue(B,i,i+1,-1.0,INSERT_VALUES);
43: MatSetValue(B,i,i,2.0,INSERT_VALUES);
44: }
45: MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
46: MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
47: MatCreateVecs(B,&t,NULL);
49: /* Create BV object X */
50: BVCreate(PETSC_COMM_WORLD,&X);
51: PetscObjectSetName((PetscObject)X,"X");
52: BVSetSizesFromVec(X,t,k);
53: BVSetFromOptions(X);
54: BVSetMatrix(X,B,PETSC_FALSE);
56: /* Set up viewer */
57: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
58: if (verbose) PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
60: /* Fill X entries */
61: for (j=0;j<k;j++) {
62: BVGetColumn(X,j,&v);
63: VecSet(v,0.0);
64: for (i=0;i<4;i++) {
65: if (i+j<n) VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES);
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: /* Check orthogonality */
89: MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
90: BVDot(X,X,M);
91: MatShift(M,-1.0);
92: MatNorm(M,NORM_1,&nrm);
93: if (nrm<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
94: else PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)nrm);
96: /* Test BVNormVecBegin/End */
97: BVGetColumn(X,0,&v);
98: BVNormVecBegin(X,v,NORM_1,&nrm);
99: BVNormVecEnd(X,v,NORM_1,&nrm);
100: BVRestoreColumn(X,0,&v);
101: PetscPrintf(PETSC_COMM_WORLD,"B-Norm of X[0] = %g\n",(double)nrm);
103: BVDestroy(&X);
104: MatDestroy(&M);
105: MatDestroy(&B);
106: VecDestroy(&t);
107: SlepcFinalize();
108: return 0;
109: }
111: /*TEST
113: testset:
114: output_file: output/test3_1.out
115: test:
116: suffix: 1
117: args: -bv_type {{vecs contiguous svec mat}shared output}
118: test:
119: suffix: 1_svec_vecs
120: args: -bv_type svec -bv_matmult vecs
121: test:
122: suffix: 1_cuda
123: args: -bv_type svec -mat_type aijcusparse
124: requires: cuda
125: test:
126: suffix: 2
127: nsize: 2
128: args: -bv_type {{vecs contiguous svec mat}shared output}
129: test:
130: suffix: 3
131: nsize: 2
132: args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
134: TEST*/