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 block orthogonalization.\n\n";
12 :
13 : #include <slepcbv.h>
14 :
15 : /*
16 : Compute the Frobenius norm ||A(l:k,l:k)-diag||_F
17 : */
18 504 : PetscErrorCode MyMatNorm(Mat A,PetscInt lda,PetscInt l,PetscInt k,PetscScalar diag,PetscReal *norm)
19 : {
20 504 : PetscInt i,j;
21 504 : const PetscScalar *pA;
22 504 : PetscReal s,val;
23 :
24 504 : PetscFunctionBeginUser;
25 504 : PetscCall(MatDenseGetArrayRead(A,&pA));
26 : s = 0.0;
27 3252 : for (i=l;i<k;i++) {
28 20736 : for (j=l;j<k;j++) {
29 17988 : val = (i==j)? PetscAbsScalar(pA[i+j*lda]-diag): PetscAbsScalar(pA[i+j*lda]);
30 17988 : s += val*val;
31 : }
32 : }
33 504 : *norm = PetscSqrtReal(s);
34 504 : PetscCall(MatDenseRestoreArrayRead(A,&pA));
35 504 : PetscFunctionReturn(PETSC_SUCCESS);
36 : }
37 :
38 192 : int main(int argc,char **argv)
39 : {
40 192 : BV X,Y,Z,cached;
41 192 : Mat B=NULL,M,R=NULL;
42 192 : Vec v,t;
43 192 : PetscInt i,j,n=20,l=2,k=8,Istart,Iend;
44 192 : PetscViewer view;
45 192 : PetscBool withb,resid,rand,verbose;
46 192 : PetscReal norm;
47 192 : PetscScalar alpha;
48 :
49 192 : PetscFunctionBeginUser;
50 192 : PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
51 192 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
52 192 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL));
53 192 : PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL));
54 192 : PetscCall(PetscOptionsHasName(NULL,NULL,"-withb",&withb));
55 192 : PetscCall(PetscOptionsHasName(NULL,NULL,"-resid",&resid));
56 192 : PetscCall(PetscOptionsHasName(NULL,NULL,"-rand",&rand));
57 192 : PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
58 336 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test BV block orthogonalization (length %" PetscInt_FMT ", l=%" PetscInt_FMT ", k=%" PetscInt_FMT ")%s.\n",n,l,k,withb?" with non-standard inner product":""));
59 :
60 : /* Create template vector */
61 192 : PetscCall(VecCreate(PETSC_COMM_WORLD,&t));
62 192 : PetscCall(VecSetSizes(t,PETSC_DECIDE,n));
63 192 : PetscCall(VecSetFromOptions(t));
64 :
65 : /* Create BV object X */
66 192 : PetscCall(BVCreate(PETSC_COMM_WORLD,&X));
67 192 : PetscCall(PetscObjectSetName((PetscObject)X,"X"));
68 192 : PetscCall(BVSetSizesFromVec(X,t,k));
69 192 : PetscCall(BVSetFromOptions(X));
70 :
71 : /* Set up viewer */
72 192 : PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view));
73 192 : if (verbose) PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB));
74 :
75 : /* Fill X entries */
76 192 : if (rand) PetscCall(BVSetRandom(X));
77 : else {
78 1692 : for (j=0;j<k;j++) {
79 1500 : PetscCall(BVGetColumn(X,j,&v));
80 1500 : PetscCall(VecSet(v,0.0));
81 38160 : for (i=0;i<=n/2;i++) {
82 36660 : if (i+j<n) {
83 36660 : alpha = (3.0*i+j-2)/(2*(i+j+1));
84 36660 : PetscCall(VecSetValue(v,i+j,alpha,INSERT_VALUES));
85 : }
86 : }
87 1500 : PetscCall(VecAssemblyBegin(v));
88 1500 : PetscCall(VecAssemblyEnd(v));
89 1500 : PetscCall(BVRestoreColumn(X,j,&v));
90 : }
91 : }
92 192 : if (verbose) PetscCall(BVView(X,view));
93 :
94 192 : if (withb) {
95 : /* Create inner product matrix */
96 48 : PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
97 48 : PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n));
98 48 : PetscCall(MatSetFromOptions(B));
99 48 : PetscCall(PetscObjectSetName((PetscObject)B,"B"));
100 :
101 48 : PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
102 528 : for (i=Istart;i<Iend;i++) {
103 480 : if (i>0) PetscCall(MatSetValue(B,i,i-1,-1.0,INSERT_VALUES));
104 480 : if (i<n-1) PetscCall(MatSetValue(B,i,i+1,-1.0,INSERT_VALUES));
105 480 : PetscCall(MatSetValue(B,i,i,2.0,INSERT_VALUES));
106 : }
107 48 : PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
108 48 : PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
109 48 : if (verbose) PetscCall(MatView(B,view));
110 48 : PetscCall(BVSetMatrix(X,B,PETSC_FALSE));
111 : }
112 :
113 : /* Create copy on Y */
114 192 : PetscCall(BVDuplicate(X,&Y));
115 192 : PetscCall(PetscObjectSetName((PetscObject)Y,"Y"));
116 192 : PetscCall(BVCopy(X,Y));
117 192 : PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M));
118 :
119 192 : if (resid) {
120 : /* Create matrix R to store triangular factor */
121 100 : PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&R));
122 100 : PetscCall(PetscObjectSetName((PetscObject)R,"R"));
123 : }
124 :
125 192 : if (l>0) {
126 : /* First orthogonalize leading columns */
127 156 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Orthogonalizing leading columns\n"));
128 156 : PetscCall(BVSetActiveColumns(Y,0,l));
129 156 : PetscCall(BVSetActiveColumns(X,0,l));
130 156 : PetscCall(BVOrthogonalize(Y,R));
131 156 : if (verbose) {
132 0 : PetscCall(BVView(Y,view));
133 0 : if (resid) PetscCall(MatView(R,view));
134 : }
135 :
136 156 : if (withb) {
137 : /* Extract cached BV and check it is equal to B*X */
138 48 : PetscCall(BVGetCachedBV(Y,&cached));
139 48 : PetscCall(BVDuplicate(X,&Z));
140 48 : PetscCall(BVSetMatrix(Z,NULL,PETSC_FALSE));
141 48 : PetscCall(BVSetActiveColumns(Z,0,l));
142 48 : PetscCall(BVCopy(X,Z));
143 48 : PetscCall(BVMatMult(X,B,Z));
144 48 : PetscCall(BVMult(Z,-1.0,1.0,cached,NULL));
145 48 : PetscCall(BVNorm(Z,NORM_FROBENIUS,&norm));
146 48 : if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Difference ||cached-BX|| < 100*eps\n"));
147 0 : else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Difference ||cached-BX||: %g\n",(double)norm));
148 48 : PetscCall(BVDestroy(&Z));
149 : }
150 :
151 : /* Check orthogonality */
152 156 : PetscCall(BVDot(Y,Y,M));
153 156 : PetscCall(MyMatNorm(M,k,0,l,1.0,&norm));
154 156 : if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of orthogonality of Q1 < 100*eps\n"));
155 0 : else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of orthogonality of Q1: %g\n",(double)norm));
156 :
157 156 : if (resid) {
158 : /* Check residual */
159 64 : PetscCall(BVDuplicate(X,&Z));
160 64 : PetscCall(BVSetMatrix(Z,NULL,PETSC_FALSE));
161 64 : PetscCall(BVSetActiveColumns(Z,0,l));
162 64 : PetscCall(BVCopy(X,Z));
163 64 : PetscCall(BVMult(Z,-1.0,1.0,Y,R));
164 64 : PetscCall(BVNorm(Z,NORM_FROBENIUS,&norm));
165 64 : if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Residual ||X1-Q1*R11|| < 100*eps\n"));
166 0 : else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Residual ||X1-Q1*R11||: %g\n",(double)norm));
167 64 : PetscCall(BVDestroy(&Z));
168 : }
169 :
170 : }
171 :
172 : /* Now orthogonalize the rest of columns */
173 192 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Orthogonalizing active columns\n"));
174 192 : PetscCall(BVSetActiveColumns(Y,l,k));
175 192 : PetscCall(BVSetActiveColumns(X,l,k));
176 192 : PetscCall(BVOrthogonalize(Y,R));
177 192 : if (verbose) {
178 0 : PetscCall(BVView(Y,view));
179 0 : if (resid) PetscCall(MatView(R,view));
180 : }
181 :
182 192 : if (l>0) {
183 : /* Check orthogonality */
184 156 : PetscCall(BVDot(Y,Y,M));
185 156 : PetscCall(MyMatNorm(M,k,l,k,1.0,&norm));
186 156 : if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of orthogonality of Q2 < 100*eps\n"));
187 0 : else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of orthogonality of Q2: %g\n",(double)norm));
188 : }
189 :
190 : /* Check the complete decomposition */
191 192 : PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Overall decomposition\n"));
192 192 : PetscCall(BVSetActiveColumns(Y,0,k));
193 192 : PetscCall(BVSetActiveColumns(X,0,k));
194 :
195 : /* Check orthogonality */
196 192 : PetscCall(BVDot(Y,Y,M));
197 192 : PetscCall(MyMatNorm(M,k,0,k,1.0,&norm));
198 192 : if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of orthogonality of Q < 100*eps\n"));
199 0 : else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of orthogonality of Q: %g\n",(double)norm));
200 :
201 192 : if (resid) {
202 : /* Check residual */
203 100 : PetscCall(BVMult(X,-1.0,1.0,Y,R));
204 100 : PetscCall(BVSetMatrix(X,NULL,PETSC_FALSE));
205 100 : PetscCall(BVNorm(X,NORM_FROBENIUS,&norm));
206 100 : if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Residual ||X-Q*R|| < 100*eps\n"));
207 0 : else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Residual ||X-Q*R||: %g\n",(double)norm));
208 100 : PetscCall(MatDestroy(&R));
209 : }
210 :
211 192 : if (B) PetscCall(MatDestroy(&B));
212 192 : PetscCall(MatDestroy(&M));
213 192 : PetscCall(BVDestroy(&X));
214 192 : PetscCall(BVDestroy(&Y));
215 192 : PetscCall(VecDestroy(&t));
216 192 : PetscCall(SlepcFinalize());
217 : return 0;
218 : }
219 :
220 : /*TEST
221 :
222 : testset:
223 : args: -bv_orthog_block {{gs chol tsqr tsqrchol svqb}}
224 : nsize: 2
225 : output_file: output/test11_1.out
226 : test:
227 : suffix: 1
228 : args: -bv_type {{vecs contiguous svec mat}shared output}
229 : test:
230 : suffix: 1_cuda
231 : args: -bv_type {{svec mat}} -vec_type cuda
232 : requires: cuda
233 :
234 : testset:
235 : args: -withb -bv_orthog_block {{gs chol svqb}}
236 : nsize: 2
237 : output_file: output/test11_4.out
238 : test:
239 : suffix: 4
240 : args: -bv_type {{vecs contiguous svec mat}shared output}
241 : test:
242 : suffix: 4_cuda
243 : args: -bv_type {{svec mat}} -vec_type cuda -mat_type aijcusparse
244 : requires: cuda
245 :
246 : testset:
247 : args: -resid -bv_orthog_block {{gs chol tsqr tsqrchol svqb}}
248 : nsize: 2
249 : output_file: output/test11_6.out
250 : test:
251 : suffix: 6
252 : args: -bv_type {{vecs contiguous svec mat}shared output}
253 : test:
254 : suffix: 6_cuda
255 : args: -bv_type {{svec mat}} -vec_type cuda
256 : requires: cuda
257 :
258 : testset:
259 : args: -resid -withb -bv_orthog_block {{gs chol svqb}}
260 : nsize: 2
261 : output_file: output/test11_9.out
262 : test:
263 : suffix: 9
264 : args: -bv_type {{vecs contiguous svec mat}shared output}
265 : test:
266 : suffix: 9_cuda
267 : args: -bv_type {{svec mat}} -vec_type cuda -mat_type aijcusparse
268 : requires: cuda
269 :
270 : testset:
271 : args: -bv_orthog_block tsqr
272 : nsize: 7
273 : output_file: output/test11_1.out
274 : test:
275 : suffix: 11
276 : args: -bv_type {{vecs contiguous svec mat}shared output}
277 : requires: !defined(PETSCTEST_VALGRIND)
278 : test:
279 : suffix: 11_cuda
280 : TODO: too many processes accessing the GPU
281 : args: -bv_type {{svec mat}} -vec_type cuda
282 : requires: cuda !defined(PETSCTEST_VALGRIND)
283 :
284 : testset:
285 : args: -resid -n 180 -l 0 -k 7 -bv_orthog_block tsqr
286 : nsize: 9
287 : output_file: output/test11_12.out
288 : test:
289 : suffix: 12
290 : args: -bv_type {{vecs contiguous svec mat}shared output}
291 : requires: !single !defined(PETSCTEST_VALGRIND)
292 : test:
293 : suffix: 12_cuda
294 : TODO: too many processes accessing the GPU
295 : args: -bv_type {{svec mat}} -vec_type cuda
296 : requires: cuda !single !defined(PETSCTEST_VALGRIND)
297 :
298 : TEST*/
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