Actual source code: test17.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 bi-orthogonalization functions.\n\n";
13: #include <slepcbv.h>
15: int main(int argc,char **argv)
16: {
17: BV X,Y;
18: Mat M;
19: Vec v,t;
20: PetscInt i,j,n=20,k=7;
21: PetscViewer view;
22: PetscBool verbose;
23: PetscReal norm,condn=1.0;
24: PetscScalar alpha;
26: SlepcInitialize(&argc,&argv,(char*)0,help);
27: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
28: PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
29: PetscOptionsGetReal(NULL,NULL,"-condn",&condn,NULL);
31: PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
32: PetscPrintf(PETSC_COMM_WORLD,"Test BV bi-orthogonalization with %" PetscInt_FMT " columns of length %" PetscInt_FMT ".\n",k,n);
33: if (condn>1.0) PetscPrintf(PETSC_COMM_WORLD," - Using random BVs with condition number = %g\n",(double)condn);
35: /* Create template vector */
36: VecCreate(PETSC_COMM_WORLD,&t);
37: VecSetSizes(t,PETSC_DECIDE,n);
38: VecSetFromOptions(t);
40: /* Create BV object X */
41: BVCreate(PETSC_COMM_WORLD,&X);
42: PetscObjectSetName((PetscObject)X,"X");
43: BVSetSizesFromVec(X,t,k);
44: BVSetFromOptions(X);
46: /* Set up viewer */
47: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
48: if (verbose) PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
50: /* Fill X entries */
51: if (condn==1.0) {
52: for (j=0;j<k;j++) {
53: BVGetColumn(X,j,&v);
54: VecSet(v,0.0);
55: for (i=0;i<=n/2;i++) {
56: if (i+j<n) {
57: alpha = (3.0*i+j-2)/(2*(i+j+1));
58: #if defined(PETSC_USE_COMPLEX)
59: alpha += (1.2*i+j-2)/(0.1*(i+j+1))*PETSC_i;
60: #endif
61: VecSetValue(v,i+j,alpha,INSERT_VALUES);
62: }
63: }
64: VecAssemblyBegin(v);
65: VecAssemblyEnd(v);
66: BVRestoreColumn(X,j,&v);
67: }
68: } else BVSetRandomCond(X,condn);
69: if (verbose) BVView(X,view);
71: /* Create Y and fill its entries */
72: BVDuplicate(X,&Y);
73: PetscObjectSetName((PetscObject)Y,"Y");
74: if (condn==1.0) {
75: for (j=0;j<k;j++) {
76: BVGetColumn(Y,j,&v);
77: VecSet(v,0.0);
78: for (i=PetscMin(n,2+(2*j)%6);i<PetscMin(n,6+(3*j)%9);i++) {
79: if (i%5 && i!=j) {
80: alpha = (1.5*i+j)/(2.2*(i-j));
81: VecSetValue(v,i+j,alpha,INSERT_VALUES);
82: }
83: }
84: VecAssemblyBegin(v);
85: VecAssemblyEnd(v);
86: BVRestoreColumn(Y,j,&v);
87: }
88: } else BVSetRandomCond(Y,condn);
89: if (verbose) BVView(Y,view);
91: /* Test BVBiorthonormalizeColumn */
92: for (j=0;j<k;j++) BVBiorthonormalizeColumn(X,Y,j,NULL);
93: if (verbose) {
94: BVView(X,view);
95: BVView(Y,view);
96: }
98: /* Check orthogonality */
99: MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
100: PetscObjectSetName((PetscObject)M,"M");
101: BVDot(X,Y,M);
102: if (verbose) MatView(M,view);
103: MatShift(M,-1.0);
104: MatNorm(M,NORM_1,&norm);
105: if (norm<200*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Level of bi-orthogonality < 200*eps\n");
106: else PetscPrintf(PETSC_COMM_WORLD,"Level of bi-orthogonality: %g\n",(double)norm);
108: MatDestroy(&M);
109: BVDestroy(&X);
110: BVDestroy(&Y);
111: VecDestroy(&t);
112: SlepcFinalize();
113: return 0;
114: }
116: /*TEST
118: testset:
119: output_file: output/test17_1.out
120: test:
121: suffix: 1
122: args: -bv_type {{vecs contiguous svec mat}} -bv_orthog_type cgs
123: requires: double
124: test:
125: suffix: 1_cuda
126: args: -bv_type svec -vec_type cuda -bv_orthog_type cgs
127: requires: cuda
128: test:
129: suffix: 2
130: args: -bv_type {{vecs contiguous svec mat}} -bv_orthog_type mgs
131: test:
132: suffix: 2_cuda
133: args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
134: requires: cuda
136: TEST*/