Line | Branch | Exec | Source |
---|---|---|---|
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 BVNormalize().\n\n"; | ||
12 | |||
13 | #include <slepcbv.h> | ||
14 | |||
15 | 144 | int main(int argc,char **argv) | |
16 | { | ||
17 | 144 | BV X,Y,Z; | |
18 | 144 | Mat B; | |
19 | 144 | Vec v,t; | |
20 | 144 | PetscInt i,j,n=20,k=8,l=3,Istart,Iend; | |
21 | 144 | PetscViewer view; | |
22 | 144 | PetscBool verbose; | |
23 | 144 | PetscReal norm,error; | |
24 | 144 | PetscScalar alpha; | |
25 | #if !defined(PETSC_USE_COMPLEX) | ||
26 | 72 | PetscScalar *eigi; | |
27 | 72 | PetscRandom rand; | |
28 | 72 | PetscReal normr,normi; | |
29 | 72 | Vec vi; | |
30 | #endif | ||
31 | |||
32 |
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144 | PetscFunctionBeginUser; |
33 |
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144 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
34 |
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144 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
35 |
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144 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL)); |
36 |
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144 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL)); |
37 |
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144 | PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose)); |
38 |
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144 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test BV normalization with %" PetscInt_FMT " columns of length %" PetscInt_FMT ".\n",k,n)); |
39 | |||
40 | /* Create template vector */ | ||
41 |
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144 | PetscCall(VecCreate(PETSC_COMM_WORLD,&t)); |
42 |
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144 | PetscCall(VecSetSizes(t,PETSC_DECIDE,n)); |
43 |
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144 | PetscCall(VecSetFromOptions(t)); |
44 | |||
45 | /* Create BV object X */ | ||
46 |
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144 | PetscCall(BVCreate(PETSC_COMM_WORLD,&X)); |
47 |
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144 | PetscCall(PetscObjectSetName((PetscObject)X,"X")); |
48 |
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144 | PetscCall(BVSetSizesFromVec(X,t,k)); |
49 |
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144 | PetscCall(BVSetFromOptions(X)); |
50 | |||
51 | /* Set up viewer */ | ||
52 |
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144 | PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view)); |
53 |
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144 | if (verbose) PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB)); |
54 | |||
55 | /* Fill X entries */ | ||
56 |
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2304 | for (j=0;j<k;j++) { |
57 |
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2160 | PetscCall(BVGetColumn(X,j,&v)); |
58 |
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2160 | PetscCall(VecSet(v,0.0)); |
59 |
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274320 | for (i=0;i<=n/2;i++) { |
60 |
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272160 | if (i+j<n) { |
61 | 272160 | alpha = (3.0*i+j-2)/(2*(i+j+1)); | |
62 |
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272160 | PetscCall(VecSetValue(v,i+j,alpha,INSERT_VALUES)); |
63 | } | ||
64 | } | ||
65 |
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2160 | PetscCall(VecAssemblyBegin(v)); |
66 |
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2160 | PetscCall(VecAssemblyEnd(v)); |
67 |
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2160 | PetscCall(BVRestoreColumn(X,j,&v)); |
68 | } | ||
69 |
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144 | if (verbose) PetscCall(BVView(X,view)); |
70 | |||
71 | /* Create copies on Y and Z */ | ||
72 |
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144 | PetscCall(BVDuplicate(X,&Y)); |
73 |
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144 | PetscCall(PetscObjectSetName((PetscObject)Y,"Y")); |
74 |
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144 | PetscCall(BVCopy(X,Y)); |
75 |
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144 | PetscCall(BVDuplicate(X,&Z)); |
76 |
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144 | PetscCall(PetscObjectSetName((PetscObject)Z,"Z")); |
77 |
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144 | PetscCall(BVCopy(X,Z)); |
78 |
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144 | PetscCall(BVSetActiveColumns(X,l,k)); |
79 |
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144 | PetscCall(BVSetActiveColumns(Y,l,k)); |
80 |
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144 | PetscCall(BVSetActiveColumns(Z,l,k)); |
81 | |||
82 | /* Test BVNormalize */ | ||
83 |
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144 | PetscCall(BVNormalize(X,NULL)); |
84 |
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144 | if (verbose) PetscCall(BVView(X,view)); |
85 | |||
86 | /* Check unit norm of columns */ | ||
87 | 144 | error = 0.0; | |
88 |
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1440 | for (j=l;j<k;j++) { |
89 |
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1296 | PetscCall(BVNormColumn(X,j,NORM_2,&norm)); |
90 |
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1554 | error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0))); |
91 | } | ||
92 |
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144 | if (error<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized vectors < 100*eps\n")); |
93 | ✗ | else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized vectors: %g\n",(double)norm)); | |
94 | |||
95 | /* Create inner product matrix */ | ||
96 |
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144 | PetscCall(MatCreate(PETSC_COMM_WORLD,&B)); |
97 |
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144 | PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
98 |
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144 | PetscCall(MatSetFromOptions(B)); |
99 |
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144 | PetscCall(PetscObjectSetName((PetscObject)B,"B")); |
100 | |||
101 |
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144 | PetscCall(MatGetOwnershipRange(B,&Istart,&Iend)); |
102 |
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24144 | for (i=Istart;i<Iend;i++) { |
103 |
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24000 | if (i>0) PetscCall(MatSetValue(B,i,i-1,-1.0,INSERT_VALUES)); |
104 |
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24000 | if (i<n-1) PetscCall(MatSetValue(B,i,i+1,-1.0,INSERT_VALUES)); |
105 |
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24000 | PetscCall(MatSetValue(B,i,i,2.0,INSERT_VALUES)); |
106 | } | ||
107 |
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144 | PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY)); |
108 |
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144 | PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY)); |
109 |
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144 | if (verbose) PetscCall(MatView(B,view)); |
110 | |||
111 | /* Test BVNormalize with B-norm */ | ||
112 |
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144 | PetscCall(BVSetMatrix(Y,B,PETSC_FALSE)); |
113 |
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144 | PetscCall(BVNormalize(Y,NULL)); |
114 |
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144 | if (verbose) PetscCall(BVView(Y,view)); |
115 | |||
116 | /* Check unit B-norm of columns */ | ||
117 | 144 | error = 0.0; | |
118 |
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1440 | for (j=l;j<k;j++) { |
119 |
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1296 | PetscCall(BVNormColumn(Y,j,NORM_2,&norm)); |
120 |
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1468 | error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0))); |
121 | } | ||
122 |
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144 | if (error<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Deviation from B-normalized vectors < 100*eps\n")); |
123 | ✗ | else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Deviation from B-normalized vectors: %g\n",(double)norm)); | |
124 | |||
125 | #if !defined(PETSC_USE_COMPLEX) | ||
126 | /* fill imaginary parts */ | ||
127 |
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72 | PetscCall(PetscCalloc1(k,&eigi)); |
128 |
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72 | PetscCall(PetscRandomCreate(PETSC_COMM_WORLD,&rand)); |
129 |
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72 | PetscCall(PetscRandomSetFromOptions(rand)); |
130 |
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216 | for (j=l+1;j<k-1;j+=5) { |
131 |
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144 | PetscCall(PetscRandomGetValue(rand,&alpha)); |
132 | 144 | eigi[j] = alpha; | |
133 | 144 | eigi[j+1] = -alpha; | |
134 | } | ||
135 |
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72 | PetscCall(PetscRandomDestroy(&rand)); |
136 |
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72 | if (verbose) { |
137 | ✗ | PetscCall(VecCreateSeqWithArray(PETSC_COMM_SELF,1,k,eigi,&v)); | |
138 | ✗ | PetscCall(VecView(v,view)); | |
139 | ✗ | PetscCall(VecDestroy(&v)); | |
140 | } | ||
141 | |||
142 | /* Test BVNormalize with complex conjugate columns */ | ||
143 |
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72 | PetscCall(BVNormalize(Z,eigi)); |
144 |
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72 | if (verbose) PetscCall(BVView(Z,view)); |
145 | |||
146 | /* Check unit norm of (complex conjugate) columns */ | ||
147 | 72 | error = 0.0; | |
148 |
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576 | for (j=l;j<k;j++) { |
149 |
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504 | if (eigi[j]) { |
150 |
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144 | PetscCall(BVGetColumn(Z,j,&v)); |
151 |
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144 | PetscCall(BVGetColumn(Z,j+1,&vi)); |
152 |
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144 | PetscCall(VecNormBegin(v,NORM_2,&normr)); |
153 |
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144 | PetscCall(VecNormBegin(vi,NORM_2,&normi)); |
154 |
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144 | PetscCall(VecNormEnd(v,NORM_2,&normr)); |
155 |
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144 | PetscCall(VecNormEnd(vi,NORM_2,&normi)); |
156 |
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144 | PetscCall(BVRestoreColumn(Z,j+1,&vi)); |
157 |
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144 | PetscCall(BVRestoreColumn(Z,j,&v)); |
158 | 144 | norm = SlepcAbsEigenvalue(normr,normi); | |
159 | 144 | j++; | |
160 | } else { | ||
161 |
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360 | PetscCall(BVGetColumn(Z,j,&v)); |
162 |
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360 | PetscCall(VecNorm(v,NORM_2,&norm)); |
163 |
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360 | PetscCall(BVRestoreColumn(Z,j,&v)); |
164 | } | ||
165 |
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616 | error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0))); |
166 | } | ||
167 |
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72 | if (error<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized conjugate vectors < 100*eps\n")); |
168 | ✗ | else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized conjugate vectors: %g\n",(double)norm)); | |
169 |
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72 | PetscCall(PetscFree(eigi)); |
170 | #endif | ||
171 | |||
172 |
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144 | PetscCall(BVDestroy(&X)); |
173 |
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144 | PetscCall(BVDestroy(&Y)); |
174 |
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144 | PetscCall(BVDestroy(&Z)); |
175 |
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144 | PetscCall(MatDestroy(&B)); |
176 |
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144 | PetscCall(VecDestroy(&t)); |
177 |
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144 | PetscCall(SlepcFinalize()); |
178 | return 0; | ||
179 | } | ||
180 | |||
181 | /*TEST | ||
182 | |||
183 | testset: | ||
184 | args: -n 250 -l 6 -k 15 | ||
185 | nsize: {{1 2}} | ||
186 | requires: !complex | ||
187 | output_file: output/test18_1.out | ||
188 | test: | ||
189 | suffix: 1 | ||
190 | args: -bv_type {{vecs contiguous svec mat}} | ||
191 | test: | ||
192 | suffix: 1_cuda | ||
193 | args: -bv_type {{svec mat}} -vec_type cuda | ||
194 | requires: cuda | ||
195 | test: | ||
196 | suffix: 1_hip | ||
197 | args: -bv_type {{svec mat}} -vec_type hip | ||
198 | requires: hip | ||
199 | |||
200 | testset: | ||
201 | args: -n 250 -l 6 -k 15 | ||
202 | nsize: {{1 2}} | ||
203 | requires: complex | ||
204 | output_file: output/test18_1_complex.out | ||
205 | test: | ||
206 | suffix: 1_complex | ||
207 | args: -bv_type {{vecs contiguous svec mat}} | ||
208 | test: | ||
209 | suffix: 1_cuda_complex | ||
210 | args: -bv_type {{svec mat}} -vec_type cuda | ||
211 | requires: cuda | ||
212 | test: | ||
213 | suffix: 1_hip_complex | ||
214 | args: -bv_type {{svec mat}} -vec_type hip | ||
215 | requires: hip | ||
216 | |||
217 | TEST*/ | ||
218 |