Line | Branch | Exec | Source |
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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 DSGSVD.\n\n"; | ||
12 | |||
13 | #include <slepcds.h> | ||
14 | |||
15 | 120 | int main(int argc,char **argv) | |
16 | { | ||
17 | 120 | DS ds; | |
18 | 120 | SlepcSC sc; | |
19 | 120 | Mat X; | |
20 | 120 | Vec x0; | |
21 | 120 | PetscReal sigma,rnorm,cond; | |
22 | 120 | PetscScalar *A,*B,*w; | |
23 | 120 | PetscInt i,j,k,n=15,m=10,p=10,m1,p1,ld; | |
24 | 120 | PetscViewer viewer; | |
25 | 120 | PetscBool verbose; | |
26 | |||
27 |
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120 | PetscFunctionBeginUser; |
28 |
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120 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
29 |
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120 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
30 |
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120 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL)); |
31 |
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120 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-p",&p,NULL)); |
32 |
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120 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Solve a Dense System of type GSVD - dimension (%" PetscInt_FMT "+%" PetscInt_FMT ")x%" PetscInt_FMT ".\n",n,p,m)); |
33 |
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120 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
34 | |||
35 | /* Create DS object */ | ||
36 |
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120 | PetscCall(DSCreate(PETSC_COMM_WORLD,&ds)); |
37 |
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120 | PetscCall(DSSetType(ds,DSGSVD)); |
38 |
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120 | PetscCall(DSSetFromOptions(ds)); |
39 | 120 | ld = PetscMax(PetscMax(p,m),n)+2; /* test leading dimension larger than n */ | |
40 |
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120 | PetscCall(DSAllocate(ds,ld)); |
41 |
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120 | PetscCall(DSSetDimensions(ds,n,0,0)); |
42 |
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120 | PetscCall(DSGSVDSetDimensions(ds,m,p)); |
43 |
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120 | PetscCall(DSGSVDGetDimensions(ds,&m1,&p1)); |
44 |
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120 | PetscCheck(m1==m && p1==p,PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Inconsistent dimension values"); |
45 | |||
46 | /* Set up viewer */ | ||
47 |
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120 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&viewer)); |
48 |
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120 | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_INFO_DETAIL)); |
49 |
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120 | PetscCall(DSView(ds,viewer)); |
50 |
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120 | PetscCall(PetscViewerPopFormat(viewer)); |
51 | |||
52 | 120 | k = PetscMin(n,m); | |
53 | /* Fill A with a rectangular Toeplitz matrix */ | ||
54 |
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120 | PetscCall(DSGetArray(ds,DS_MAT_A,&A)); |
55 |
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1320 | for (i=0;i<k;i++) A[i+i*ld]=1.0; |
56 |
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360 | for (j=1;j<3;j++) { |
57 |
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3480 | for (i=0;i<n-j;i++) { |
58 |
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3240 | if ((i+j)<m) A[i+(i+j)*ld]=(PetscScalar)(j+1); |
59 | } | ||
60 | } | ||
61 |
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840 | for (j=1;j<n/2;j++) { |
62 |
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9000 | for (i=0;i<n-j;i++) { |
63 |
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8280 | if ((i+j)<n && i<m) A[(i+j)+i*ld]=-1.0; |
64 | } | ||
65 | } | ||
66 |
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120 | PetscCall(DSRestoreArray(ds,DS_MAT_A,&A)); |
67 | |||
68 | 120 | k = PetscMin(p,m); | |
69 | /* Fill B with a shifted bidiagonal matrix */ | ||
70 |
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120 | PetscCall(DSGetArray(ds,DS_MAT_B,&B)); |
71 |
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1320 | for (i=m-k;i<m;i++) { |
72 | 1200 | B[i-m+k+i*ld]=2.0-1.0/(PetscScalar)(i+1); | |
73 |
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1200 | if (i) B[i-1-m+k+i*ld]=1.0; |
74 | } | ||
75 |
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120 | PetscCall(DSRestoreArray(ds,DS_MAT_B,&B)); |
76 | |||
77 |
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120 | PetscCall(DSSetState(ds,DS_STATE_RAW)); |
78 |
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120 | if (verbose) { |
79 | ✗ | PetscCall(PetscViewerPushFormat(viewer,PETSC_VIEWER_ASCII_MATLAB)); | |
80 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Initial - - - - - - - - -\n")); | |
81 | } | ||
82 |
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120 | PetscCall(DSView(ds,viewer)); |
83 | |||
84 | /* Condition number */ | ||
85 |
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120 | PetscCall(DSCond(ds,&cond)); |
86 |
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120 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Condition number = %.3f\n",(double)cond)); |
87 | |||
88 | /* Solve */ | ||
89 |
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120 | PetscCall(PetscMalloc1(m,&w)); |
90 |
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120 | PetscCall(DSGetSlepcSC(ds,&sc)); |
91 | 120 | sc->comparison = SlepcCompareLargestReal; | |
92 | 120 | sc->comparisonctx = NULL; | |
93 | 120 | sc->map = NULL; | |
94 | 120 | sc->mapobj = NULL; | |
95 |
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120 | PetscCall(DSSolve(ds,w,NULL)); |
96 |
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120 | PetscCall(DSSort(ds,w,NULL,NULL,NULL,NULL)); |
97 |
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120 | PetscCall(DSSynchronize(ds,w,NULL)); |
98 |
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120 | if (verbose) { |
99 | ✗ | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After solve - - - - - - - - -\n")); | |
100 | ✗ | PetscCall(DSView(ds,viewer)); | |
101 | } | ||
102 | /* Print singular values */ | ||
103 |
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120 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Computed singular values =\n")); |
104 |
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120 | PetscCall(DSGetDimensions(ds,NULL,NULL,NULL,&k)); |
105 |
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1320 | for (i=0;i<k;i++) { |
106 | 1200 | sigma = PetscRealPart(w[i]); | |
107 |
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1200 | PetscCall(PetscViewerASCIIPrintf(viewer," %g\n",(double)sigma)); |
108 | } | ||
109 | |||
110 | /* Singular vectors */ | ||
111 |
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120 | PetscCall(DSVectors(ds,DS_MAT_X,NULL,NULL)); /* all singular vectors */ |
112 |
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120 | PetscCall(DSGetMat(ds,DS_MAT_X,&X)); |
113 |
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120 | PetscCall(MatCreateVecs(X,NULL,&x0)); |
114 |
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120 | PetscCall(MatGetColumnVector(X,x0,0)); |
115 |
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120 | PetscCall(VecNorm(x0,NORM_2,&rnorm)); |
116 |
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120 | PetscCall(DSRestoreMat(ds,DS_MAT_X,&X)); |
117 |
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120 | PetscCall(VecDestroy(&x0)); |
118 |
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120 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm of 1st X vector = %.3f\n",(double)rnorm)); |
119 | |||
120 |
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120 | PetscCall(DSGetMat(ds,DS_MAT_U,&X)); |
121 |
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120 | PetscCall(MatCreateVecs(X,NULL,&x0)); |
122 |
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120 | PetscCall(MatGetColumnVector(X,x0,0)); |
123 |
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120 | PetscCall(VecNorm(x0,NORM_2,&rnorm)); |
124 |
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120 | PetscCall(DSRestoreMat(ds,DS_MAT_U,&X)); |
125 |
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120 | PetscCall(VecDestroy(&x0)); |
126 |
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120 | if (PetscAbs(rnorm-1.0)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the 1st U vector has norm %g\n",(double)rnorm)); |
127 | |||
128 |
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120 | PetscCall(DSGetMat(ds,DS_MAT_V,&X)); |
129 |
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120 | PetscCall(MatCreateVecs(X,NULL,&x0)); |
130 |
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120 | PetscCall(MatGetColumnVector(X,x0,0)); |
131 |
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120 | PetscCall(VecNorm(x0,NORM_2,&rnorm)); |
132 |
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120 | PetscCall(DSRestoreMat(ds,DS_MAT_V,&X)); |
133 |
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120 | PetscCall(VecDestroy(&x0)); |
134 |
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120 | if (PetscAbs(rnorm-1.0)>10*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Warning: the 1st V vector has norm %g\n",(double)rnorm)); |
135 | |||
136 |
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120 | PetscCall(PetscFree(w)); |
137 |
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120 | PetscCall(DSDestroy(&ds)); |
138 |
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120 | PetscCall(SlepcFinalize()); |
139 | return 0; | ||
140 | } | ||
141 | |||
142 | /*TEST | ||
143 | |||
144 | testset: | ||
145 | output_file: output/test21_1.out | ||
146 | requires: !single | ||
147 | nsize: {{1 2 3}} | ||
148 | filter: grep -v "parallel operation mode" | grep -v " MPI process" | ||
149 | test: | ||
150 | suffix: 1 | ||
151 | args: -ds_parallel redundant | ||
152 | test: | ||
153 | suffix: 2 | ||
154 | args: -ds_parallel synchronized | ||
155 | |||
156 | TEST*/ | ||
157 |