Line data Source code
1 : /*
2 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3 : SLEPc - Scalable Library for Eigenvalue Problem Computations
4 : Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
5 :
6 : This file is part of SLEPc.
7 : SLEPc is distributed under a 2-clause BSD license (see LICENSE).
8 : - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
9 : */
10 :
11 : static char help[] = "Test BV orthogonalization functions.\n\n";
12 :
13 : #include <slepcbv.h>
14 :
15 12 : int main(int argc,char **argv)
16 : {
17 12 : BV X,Y,Z;
18 12 : Mat M,R;
19 12 : Vec v,t,e;
20 12 : PetscInt i,j,n=20,k=8;
21 12 : PetscViewer view;
22 12 : PetscBool verbose;
23 12 : PetscReal norm,condn=1.0;
24 12 : PetscScalar alpha;
25 :
26 12 : PetscFunctionBeginUser;
27 12 : PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
28 12 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
29 12 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL));
30 12 : PetscCall(PetscOptionsGetReal(NULL,NULL,"-condn",&condn,NULL));
31 12 : PetscCheck(condn>=1.0,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"The condition number must be > 1");
32 12 : PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
33 12 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test BV orthogonalization with %" PetscInt_FMT " columns of length %" PetscInt_FMT ".\n",k,n));
34 12 : if (condn>1.0) PetscCall(PetscPrintf(PETSC_COMM_WORLD," - Using a random BV with condition number = %g\n",(double)condn));
35 :
36 : /* Create template vector */
37 12 : PetscCall(VecCreate(PETSC_COMM_WORLD,&t));
38 12 : PetscCall(VecSetSizes(t,PETSC_DECIDE,n));
39 12 : PetscCall(VecSetFromOptions(t));
40 :
41 : /* Create BV object X */
42 12 : PetscCall(BVCreate(PETSC_COMM_WORLD,&X));
43 12 : PetscCall(PetscObjectSetName((PetscObject)X,"X"));
44 12 : PetscCall(BVSetSizesFromVec(X,t,k));
45 12 : PetscCall(BVSetFromOptions(X));
46 :
47 : /* Set up viewer */
48 12 : PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view));
49 12 : if (verbose) PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB));
50 :
51 : /* Fill X entries */
52 12 : if (condn==1.0) {
53 72 : for (j=0;j<k;j++) {
54 64 : PetscCall(BVGetColumn(X,j,&v));
55 64 : PetscCall(VecSet(v,0.0));
56 768 : for (i=0;i<=n/2;i++) {
57 704 : if (i+j<n) {
58 704 : alpha = (3.0*i+j-2)/(2*(i+j+1));
59 704 : PetscCall(VecSetValue(v,i+j,alpha,INSERT_VALUES));
60 : }
61 : }
62 64 : PetscCall(VecAssemblyBegin(v));
63 64 : PetscCall(VecAssemblyEnd(v));
64 64 : PetscCall(BVRestoreColumn(X,j,&v));
65 : }
66 4 : } else PetscCall(BVSetRandomCond(X,condn));
67 12 : if (verbose) PetscCall(BVView(X,view));
68 :
69 : /* Create copies on Y and Z */
70 12 : PetscCall(BVDuplicate(X,&Y));
71 12 : PetscCall(PetscObjectSetName((PetscObject)Y,"Y"));
72 12 : PetscCall(BVCopy(X,Y));
73 12 : PetscCall(BVDuplicate(X,&Z));
74 12 : PetscCall(PetscObjectSetName((PetscObject)Z,"Z"));
75 12 : PetscCall(BVCopy(X,Z));
76 :
77 : /* Test BVOrthogonalizeColumn */
78 108 : for (j=0;j<k;j++) {
79 96 : PetscCall(BVOrthogonalizeColumn(X,j,NULL,&norm,NULL));
80 96 : alpha = 1.0/norm;
81 96 : PetscCall(BVScaleColumn(X,j,alpha));
82 : }
83 12 : if (verbose) PetscCall(BVView(X,view));
84 :
85 : /* Check orthogonality */
86 12 : PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M));
87 12 : PetscCall(BVDot(X,X,M));
88 12 : PetscCall(MatShift(M,-1.0));
89 12 : PetscCall(MatNorm(M,NORM_1,&norm));
90 12 : if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n"));
91 0 : else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm));
92 :
93 : /* Test BVOrthogonalize */
94 12 : PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&R));
95 12 : PetscCall(PetscObjectSetName((PetscObject)R,"R"));
96 12 : PetscCall(BVOrthogonalize(Y,R));
97 12 : if (verbose) {
98 0 : PetscCall(BVView(Y,view));
99 0 : PetscCall(MatView(R,view));
100 : }
101 :
102 : /* Check orthogonality */
103 12 : PetscCall(BVDot(Y,Y,M));
104 12 : PetscCall(MatShift(M,-1.0));
105 12 : PetscCall(MatNorm(M,NORM_1,&norm));
106 12 : if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n"));
107 0 : else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm));
108 :
109 : /* Check residual */
110 12 : PetscCall(BVMult(Z,-1.0,1.0,Y,R));
111 12 : PetscCall(BVNorm(Z,NORM_FROBENIUS,&norm));
112 12 : if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR|| < 100*eps\n"));
113 0 : else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR||: %g\n",(double)norm));
114 :
115 : /* Test BVOrthogonalizeVec */
116 12 : PetscCall(VecDuplicate(t,&e));
117 12 : PetscCall(VecSet(e,1.0));
118 12 : PetscCall(BVOrthogonalizeVec(X,e,NULL,&norm,NULL));
119 12 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of ones(n,1) after orthogonalizing against X: %g\n",(double)norm));
120 :
121 12 : PetscCall(MatDestroy(&M));
122 12 : PetscCall(MatDestroy(&R));
123 12 : PetscCall(BVDestroy(&X));
124 12 : PetscCall(BVDestroy(&Y));
125 12 : PetscCall(BVDestroy(&Z));
126 12 : PetscCall(VecDestroy(&e));
127 12 : PetscCall(VecDestroy(&t));
128 12 : PetscCall(SlepcFinalize());
129 : return 0;
130 : }
131 :
132 : /*TEST
133 :
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
150 :
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
158 :
159 : TEST*/
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