Actual source code: test2.c
slepc-3.21.2 2024-09-25
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 orthogonalization functions.\n\n";
13: #include <slepcbv.h>
15: int main(int argc,char **argv)
16: {
17: BV X,Y,Z;
18: Mat M,R;
19: Vec v,t,e;
20: PetscInt i,j,n=20,k=8;
21: PetscViewer view;
22: PetscBool verbose;
23: PetscReal norm,condn=1.0;
24: PetscScalar alpha;
26: PetscFunctionBeginUser;
27: PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
28: PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
29: PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL));
30: PetscCall(PetscOptionsGetReal(NULL,NULL,"-condn",&condn,NULL));
31: PetscCheck(condn>=1.0,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"The condition number must be > 1");
32: PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
33: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test BV orthogonalization with %" PetscInt_FMT " columns of length %" PetscInt_FMT ".\n",k,n));
34: if (condn>1.0) PetscCall(PetscPrintf(PETSC_COMM_WORLD," - Using a random BV with condition number = %g\n",(double)condn));
36: /* Create template vector */
37: PetscCall(VecCreate(PETSC_COMM_WORLD,&t));
38: PetscCall(VecSetSizes(t,PETSC_DECIDE,n));
39: PetscCall(VecSetFromOptions(t));
41: /* Create BV object X */
42: PetscCall(BVCreate(PETSC_COMM_WORLD,&X));
43: PetscCall(PetscObjectSetName((PetscObject)X,"X"));
44: PetscCall(BVSetSizesFromVec(X,t,k));
45: PetscCall(BVSetFromOptions(X));
47: /* Set up viewer */
48: PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view));
49: if (verbose) PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB));
51: /* Fill X entries */
52: if (condn==1.0) {
53: for (j=0;j<k;j++) {
54: PetscCall(BVGetColumn(X,j,&v));
55: PetscCall(VecSet(v,0.0));
56: for (i=0;i<=n/2;i++) {
57: if (i+j<n) {
58: alpha = (3.0*i+j-2)/(2*(i+j+1));
59: PetscCall(VecSetValue(v,i+j,alpha,INSERT_VALUES));
60: }
61: }
62: PetscCall(VecAssemblyBegin(v));
63: PetscCall(VecAssemblyEnd(v));
64: PetscCall(BVRestoreColumn(X,j,&v));
65: }
66: } else PetscCall(BVSetRandomCond(X,condn));
67: if (verbose) PetscCall(BVView(X,view));
69: /* Create copies on Y and Z */
70: PetscCall(BVDuplicate(X,&Y));
71: PetscCall(PetscObjectSetName((PetscObject)Y,"Y"));
72: PetscCall(BVCopy(X,Y));
73: PetscCall(BVDuplicate(X,&Z));
74: PetscCall(PetscObjectSetName((PetscObject)Z,"Z"));
75: PetscCall(BVCopy(X,Z));
77: /* Test BVOrthogonalizeColumn */
78: for (j=0;j<k;j++) {
79: PetscCall(BVOrthogonalizeColumn(X,j,NULL,&norm,NULL));
80: alpha = 1.0/norm;
81: PetscCall(BVScaleColumn(X,j,alpha));
82: }
83: if (verbose) PetscCall(BVView(X,view));
85: /* Check orthogonality */
86: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M));
87: PetscCall(BVDot(X,X,M));
88: PetscCall(MatShift(M,-1.0));
89: PetscCall(MatNorm(M,NORM_1,&norm));
90: if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n"));
91: else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm));
93: /* Test BVOrthogonalize */
94: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&R));
95: PetscCall(PetscObjectSetName((PetscObject)R,"R"));
96: PetscCall(BVOrthogonalize(Y,R));
97: if (verbose) {
98: PetscCall(BVView(Y,view));
99: PetscCall(MatView(R,view));
100: }
102: /* Check orthogonality */
103: PetscCall(BVDot(Y,Y,M));
104: PetscCall(MatShift(M,-1.0));
105: PetscCall(MatNorm(M,NORM_1,&norm));
106: if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n"));
107: else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm));
109: /* Check residual */
110: PetscCall(BVMult(Z,-1.0,1.0,Y,R));
111: PetscCall(BVNorm(Z,NORM_FROBENIUS,&norm));
112: if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR|| < 100*eps\n"));
113: else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR||: %g\n",(double)norm));
115: /* Test BVOrthogonalizeVec */
116: PetscCall(VecDuplicate(t,&e));
117: PetscCall(VecSet(e,1.0));
118: PetscCall(BVOrthogonalizeVec(X,e,NULL,&norm,NULL));
119: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of ones(n,1) after orthogonalizing against X: %g\n",(double)norm));
121: PetscCall(MatDestroy(&M));
122: PetscCall(MatDestroy(&R));
123: PetscCall(BVDestroy(&X));
124: PetscCall(BVDestroy(&Y));
125: PetscCall(BVDestroy(&Z));
126: PetscCall(VecDestroy(&e));
127: PetscCall(VecDestroy(&t));
128: PetscCall(SlepcFinalize());
129: return 0;
130: }
132: /*TEST
134: testset:
135: output_file: output/test2_1.out
136: test:
137: suffix: 1
138: args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type cgs
139: test:
140: suffix: 1_cuda
141: args: -bv_type {{svec mat}} -vec_type cuda -bv_orthog_type cgs
142: requires: cuda
143: test:
144: suffix: 2
145: args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
146: test:
147: suffix: 2_cuda
148: args: -bv_type {{svec mat}} -vec_type cuda -bv_orthog_type mgs
149: requires: cuda
151: test:
152: suffix: 3
153: nsize: 1
154: args: -bv_type {{vecs contiguous svec mat}shared output} -condn 1e8
155: requires: !single
156: filter: grep -v "against"
157: output_file: output/test2_3.out
159: TEST*/