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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 created from a Mat.\n\n"; | ||
12 | |||
13 | #include <slepcbv.h> | ||
14 | |||
15 | 90 | int main(int argc,char **argv) | |
16 | { | ||
17 | 90 | BV X; | |
18 | 90 | Mat A,B,M; | |
19 | 90 | PetscInt i,j,n=20,k=8,Istart,Iend; | |
20 | 90 | PetscViewer view; | |
21 | 90 | PetscBool sparse=PETSC_FALSE,verbose; | |
22 | 90 | PetscReal norm; | |
23 | 90 | PetscScalar alpha; | |
24 | |||
25 |
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90 | PetscFunctionBeginUser; |
26 |
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90 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
27 |
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90 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
28 |
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90 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL)); |
29 |
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90 | PetscCall(PetscOptionsHasName(NULL,NULL,"-sparse",&sparse)); |
30 |
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90 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
31 |
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170 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test BV created from a %s Mat (length %" PetscInt_FMT ", k=%" PetscInt_FMT ").\n",sparse?"sparse":"dense",n,k)); |
32 | |||
33 | /* Create matrix */ | ||
34 |
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90 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
35 |
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90 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,k)); |
36 |
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90 | if (!sparse) PetscCall(MatSetType(A,MATDENSE)); |
37 |
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10 | else PetscCall(MatSetType(A,MATAIJ)); |
38 |
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90 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
39 |
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810 | for (j=0;j<k;j++) { |
40 |
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8640 | for (i=0;i<=n/2;i++) { |
41 |
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7920 | if (i+j<n && i>=Istart && i<Iend) { |
42 | 4400 | alpha = (3.0*i+j-2)/(2*(i+j+1)); | |
43 |
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7920 | PetscCall(MatSetValue(A,i+j,j,alpha,INSERT_VALUES)); |
44 | } | ||
45 | } | ||
46 | } | ||
47 |
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90 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
48 |
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90 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
49 | |||
50 | /* Create BV object X */ | ||
51 |
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90 | PetscCall(BVCreateFromMat(A,&X)); |
52 |
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90 | PetscCall(BVSetFromOptions(X)); |
53 |
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90 | PetscCall(PetscObjectSetName((PetscObject)X,"X")); |
54 | |||
55 | /* Set up viewer */ | ||
56 |
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90 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view)); |
57 |
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90 | if (verbose) { |
58 | ✗ | PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB)); | |
59 | ✗ | PetscCall(BVView(X,view)); | |
60 | } | ||
61 | |||
62 | /* Test BVCreateMat */ | ||
63 |
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90 | PetscCall(BVCreateMat(X,&B)); |
64 |
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90 | PetscCall(MatAXPY(B,-1.0,A,SAME_NONZERO_PATTERN)); |
65 |
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90 | PetscCall(MatNorm(B,NORM_1,&norm)); |
66 |
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90 | if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of difference < 100*eps\n")); |
67 | ✗ | else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of difference: %g\n",(double)norm)); | |
68 | |||
69 | /* Test BVOrthogonalize */ | ||
70 |
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90 | PetscCall(BVOrthogonalize(X,NULL)); |
71 |
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90 | if (verbose) PetscCall(BVView(X,view)); |
72 | |||
73 | /* Check orthogonality */ | ||
74 |
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90 | PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M)); |
75 |
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90 | PetscCall(MatShift(M,1.0)); /* set leading part to identity */ |
76 |
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90 | PetscCall(BVDot(X,X,M)); |
77 |
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90 | PetscCall(MatShift(M,-1.0)); |
78 |
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90 | PetscCall(MatNorm(M,NORM_1,&norm)); |
79 |
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90 | if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n")); |
80 | ✗ | else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm)); | |
81 | |||
82 |
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90 | PetscCall(MatDestroy(&M)); |
83 |
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90 | PetscCall(MatDestroy(&A)); |
84 |
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90 | PetscCall(MatDestroy(&B)); |
85 |
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90 | PetscCall(BVDestroy(&X)); |
86 |
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90 | PetscCall(SlepcFinalize()); |
87 | return 0; | ||
88 | } | ||
89 | |||
90 | /*TEST | ||
91 | |||
92 | test: | ||
93 | suffix: 1 | ||
94 | nsize: 2 | ||
95 | args: -bv_type {{vecs contiguous svec mat}shared output} | ||
96 | |||
97 | test: | ||
98 | suffix: 2 | ||
99 | args: -sparse | ||
100 | |||
101 | TEST*/ | ||
102 |