GCC Code Coverage Report

Directory: ./
File: src/sys/classes/bv/tests/test11.c
Date: 2025-10-03 04:28:47
Exec Total Coverage
Lines: 130 140 92.9%
Functions: 2 2 100.0%
Branches: 418 710 58.9%
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 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 5728 PetscErrorCode MyMatNorm(Mat A,PetscInt lda,PetscInt l,PetscInt k,PetscScalar diag,PetscReal *norm)
19 {
20 5728 PetscInt i,j;
21 5728 const PetscScalar *pA;
22 5728 PetscReal s,val;
23
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 5728 PetscFunctionBeginUser;
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 5728 PetscCall(MatDenseGetArrayRead(A,&pA));
26 s = 0.0;
27
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 36744 for (i=l;i<k;i++) {
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 233600 for (j=l;j<k;j++) {
29
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 202584 val = (i==j)? PetscAbsScalar(pA[i+j*lda]-diag): PetscAbsScalar(pA[i+j*lda]);
30 202584 s += val*val;
31 }
32 }
33 5728 *norm = PetscSqrtReal(s);
34
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 5728 PetscCall(MatDenseRestoreArrayRead(A,&pA));
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 992 PetscFunctionReturn(PETSC_SUCCESS);
36 }
37
38 2096 int main(int argc,char **argv)
39 {
40 2096 BV X,Y,Z,cached;
41 2096 Mat B=NULL,M,R=NULL;
42 2096 Vec v,t;
43 2096 PetscInt i,j,n=20,l=2,k=8,Istart,Iend;
44 2096 PetscViewer view;
45 2096 PetscBool withb,resid,rand,verbose;
46 2096 PetscReal norm;
47 2096 PetscScalar alpha;
48
49
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 2096 PetscFunctionBeginUser;
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 2096 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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 2096 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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 2096 PetscCall(PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL));
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 2096 PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL));
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 2096 PetscCall(PetscOptionsHasName(NULL,NULL,"-withb",&withb));
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 2096 PetscCall(PetscOptionsHasName(NULL,NULL,"-resid",&resid));
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 2096 PetscCall(PetscOptionsHasName(NULL,NULL,"-rand",&rand));
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 2096 PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
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 3616 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
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 2096 PetscCall(VecCreate(PETSC_COMM_WORLD,&t));
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 2096 PetscCall(VecSetSizes(t,PETSC_DECIDE,n));
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 2096 PetscCall(VecSetFromOptions(t));
64
65 /* Create BV object X */
66
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 2096 PetscCall(BVCreate(PETSC_COMM_WORLD,&X));
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 2096 PetscCall(PetscObjectSetName((PetscObject)X,"X"));
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 2096 PetscCall(BVSetSizesFromVec(X,t,k));
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 2096 PetscCall(BVSetFromOptions(X));
70
71 /* Set up viewer */
72
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 2096 PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view));
73
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 2096 if (verbose) PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB));
74
75 /* Fill X entries */
76
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 2096 if (rand) PetscCall(BVSetRandom(X));
77 else {
78
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 18584 for (j=0;j<k;j++) {
79
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 16488 PetscCall(BVGetColumn(X,j,&v));
80
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 16488 PetscCall(VecSet(v,0.0));
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 354656 for (i=0;i<=n/2;i++) {
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 338168 if (i+j<n) {
83 338168 alpha = (3.0*i+j-2)/(2*(i+j+1));
84
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 338168 PetscCall(VecSetValue(v,i+j,alpha,INSERT_VALUES));
85 }
86 }
87
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 16488 PetscCall(VecAssemblyBegin(v));
88
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 16488 PetscCall(VecAssemblyEnd(v));
89
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 16488 PetscCall(BVRestoreColumn(X,j,&v));
90 }
91 }
92
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 2096 if (verbose) PetscCall(BVView(X,view));
93
94
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 2096 if (withb) {
95 /* Create inner product matrix */
96
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 576 PetscCall(MatCreate(PETSC_COMM_WORLD,&B));
97
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 576 PetscCall(MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n));
98
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 576 PetscCall(MatSetFromOptions(B));
99
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 576 PetscCall(PetscObjectSetName((PetscObject)B,"B"));
100
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 576 PetscCall(MatGetOwnershipRange(B,&Istart,&Iend));
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 6336 for (i=Istart;i<Iend;i++) {
103
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 5760 if (i>0) PetscCall(MatSetValue(B,i,i-1,-1.0,INSERT_VALUES));
104
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 5760 if (i<n-1) PetscCall(MatSetValue(B,i,i+1,-1.0,INSERT_VALUES));
105
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 5760 PetscCall(MatSetValue(B,i,i,2.0,INSERT_VALUES));
106 }
107
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 576 PetscCall(MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY));
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 576 PetscCall(MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY));
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 576 if (verbose) PetscCall(MatView(B,view));
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 576 PetscCall(BVSetMatrix(X,B,PETSC_FALSE));
111 }
112
113 /* Create copy on Y */
114
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 2096 PetscCall(BVDuplicate(X,&Y));
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 2096 PetscCall(PetscObjectSetName((PetscObject)Y,"Y"));
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 2096 PetscCall(BVCopy(X,Y));
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 2096 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M));
118
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 2096 if (resid) {
120 /* Create matrix R to store triangular factor */
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 1048 PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&R));
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 1048 PetscCall(PetscObjectSetName((PetscObject)R,"R"));
123 }
124
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 2096 if (l>0) {
126 /* First orthogonalize leading columns */
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 1816 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Orthogonalizing leading columns\n"));
128
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 1816 PetscCall(BVSetActiveColumns(Y,0,l));
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 1816 PetscCall(BVSetActiveColumns(X,0,l));
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 1816 PetscCall(BVOrthogonalize(Y,R));
131
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 1816 if (verbose) {
132 ✗ PetscCall(BVView(Y,view));
133 ✗ if (resid) PetscCall(MatView(R,view));
134 }
135
136
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 1816 if (withb) {
137 /* Extract cached BV and check it is equal to B*X */
138
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 576 PetscCall(BVGetCachedBV(Y,&cached));
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 576 PetscCall(BVDuplicate(X,&Z));
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 576 PetscCall(BVSetMatrix(Z,NULL,PETSC_FALSE));
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 576 PetscCall(BVSetActiveColumns(Z,0,l));
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 576 PetscCall(BVCopy(X,Z));
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 576 PetscCall(BVMatMult(X,B,Z));
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 576 PetscCall(BVMult(Z,-1.0,1.0,cached,NULL));
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 576 PetscCall(BVNorm(Z,NORM_FROBENIUS,&norm));
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 576 if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Difference ||cached-BX|| < 100*eps\n"));
147 ✗ else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Difference ||cached-BX||: %g\n",(double)norm));
148
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 576 PetscCall(BVDestroy(&Z));
149 }
150
151 /* Check orthogonality */
152
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 1816 PetscCall(BVDot(Y,Y,M));
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 1816 PetscCall(MyMatNorm(M,k,0,l,1.0,&norm));
154
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 1816 if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of orthogonality of Q1 < 100*eps\n"));
155 ✗ else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of orthogonality of Q1: %g\n",(double)norm));
156
157
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 1816 if (resid) {
158 /* Check residual */
159
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 768 PetscCall(BVDuplicate(X,&Z));
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 768 PetscCall(BVSetMatrix(Z,NULL,PETSC_FALSE));
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 768 PetscCall(BVSetActiveColumns(Z,0,l));
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 768 PetscCall(BVCopy(X,Z));
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 768 PetscCall(BVMult(Z,-1.0,1.0,Y,R));
164
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 768 PetscCall(BVNorm(Z,NORM_FROBENIUS,&norm));
165
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 768 if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Residual ||X1-Q1*R11|| < 100*eps\n"));
166 ✗ else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Residual ||X1-Q1*R11||: %g\n",(double)norm));
167
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 768 PetscCall(BVDestroy(&Z));
168 }
169
170 }
171
172 /* Now orthogonalize the rest of columns */
173
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 2096 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Orthogonalizing active columns\n"));
174
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 2096 PetscCall(BVSetActiveColumns(Y,l,k));
175
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 2096 PetscCall(BVSetActiveColumns(X,l,k));
176
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 2096 PetscCall(BVOrthogonalize(Y,R));
177
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 2096 if (verbose) {
178 ✗ PetscCall(BVView(Y,view));
179 ✗ if (resid) PetscCall(MatView(R,view));
180 }
181
182
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 2096 if (l>0) {
183 /* Check orthogonality */
184
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 1816 PetscCall(BVDot(Y,Y,M));
185
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 1816 PetscCall(MyMatNorm(M,k,l,k,1.0,&norm));
186
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 1816 if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of orthogonality of Q2 < 100*eps\n"));
187 ✗ else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of orthogonality of Q2: %g\n",(double)norm));
188 }
189
190 /* Check the complete decomposition */
191
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 2096 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Overall decomposition\n"));
192
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 2096 PetscCall(BVSetActiveColumns(Y,0,k));
193
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 2096 PetscCall(BVSetActiveColumns(X,0,k));
194
195 /* Check orthogonality */
196
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 2096 PetscCall(BVDot(Y,Y,M));
197
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 2096 PetscCall(MyMatNorm(M,k,0,k,1.0,&norm));
198
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 2096 if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of orthogonality of Q < 100*eps\n"));
199 ✗ else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Level of orthogonality of Q: %g\n",(double)norm));
200
201
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 2096 if (resid) {
202 /* Check residual */
203
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 1048 PetscCall(BVMult(X,-1.0,1.0,Y,R));
204
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 1048 PetscCall(BVSetMatrix(X,NULL,PETSC_FALSE));
205
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 1048 PetscCall(BVNorm(X,NORM_FROBENIUS,&norm));
206
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 1048 if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Residual ||X-Q*R|| < 100*eps\n"));
207 ✗ else PetscCall(PetscPrintf(PETSC_COMM_WORLD," Residual ||X-Q*R||: %g\n",(double)norm));
208
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 1048 PetscCall(MatDestroy(&R));
209 }
210
211
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 2096 if (B) PetscCall(MatDestroy(&B));
212
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 2096 PetscCall(MatDestroy(&M));
213
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 2096 PetscCall(BVDestroy(&X));
214
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 2096 PetscCall(BVDestroy(&Y));
215
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 2096 PetscCall(VecDestroy(&t));
216
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 2096 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 test:
234 suffix: 1_hip
235 args: -bv_type {{svec mat}} -vec_type hip
236 requires: hip
237
238 testset:
239 args: -withb -bv_orthog_block {{gs chol svqb}}
240 nsize: 2
241 output_file: output/test11_4.out
242 test:
243 suffix: 4
244 args: -bv_type {{vecs contiguous svec mat}shared output}
245 test:
246 suffix: 4_cuda
247 args: -bv_type {{svec mat}} -vec_type cuda -mat_type aijcusparse
248 requires: cuda
249 test:
250 suffix: 4_hip
251 args: -bv_type {{svec mat}} -vec_type hip -mat_type aijhipsparse
252 requires: hip
253
254 testset:
255 args: -resid -bv_orthog_block {{gs chol tsqr tsqrchol svqb}}
256 nsize: 2
257 output_file: output/test11_6.out
258 test:
259 suffix: 6
260 args: -bv_type {{vecs contiguous svec mat}shared output}
261 test:
262 suffix: 6_cuda
263 args: -bv_type {{svec mat}} -vec_type cuda
264 requires: cuda
265 test:
266 suffix: 6_hip
267 args: -bv_type {{svec mat}} -vec_type hip
268 requires: hip
269
270 testset:
271 args: -resid -withb -bv_orthog_block {{gs chol svqb}}
272 nsize: 2
273 output_file: output/test11_9.out
274 test:
275 suffix: 9
276 args: -bv_type {{vecs contiguous svec mat}shared output}
277 test:
278 suffix: 9_cuda
279 args: -bv_type {{svec mat}} -vec_type cuda -mat_type aijcusparse
280 requires: cuda
281 test:
282 suffix: 9_hip
283 args: -bv_type {{svec mat}} -vec_type hip -mat_type aijhipsparse
284 requires: hip
285
286 testset:
287 args: -bv_orthog_block tsqr
288 nsize: 7
289 output_file: output/test11_1.out
290 test:
291 suffix: 11
292 args: -bv_type {{vecs contiguous svec mat}shared output}
293 requires: !defined(PETSCTEST_VALGRIND)
294 test:
295 suffix: 11_cuda
296 TODO: too many processes accessing the GPU
297 args: -bv_type {{svec mat}} -vec_type cuda
298 requires: cuda !defined(PETSCTEST_VALGRIND)
299 test:
300 suffix: 11_hip
301 TODO: too many processes accessing the GPU
302 args: -bv_type {{svec mat}} -vec_type hip
303 requires: hip !defined(PETSCTEST_VALGRIND)
304
305 testset:
306 args: -resid -n 180 -l 0 -k 7 -bv_orthog_block tsqr
307 nsize: 7
308 output_file: output/test11_12.out
309 test:
310 suffix: 12
311 args: -bv_type {{vecs contiguous svec mat}shared output}
312 requires: double !defined(PETSCTEST_VALGRIND)
313 test:
314 suffix: 12_cuda
315 TODO: too many processes accessing the GPU
316 args: -bv_type {{svec mat}} -vec_type cuda
317 requires: cuda !single !defined(PETSCTEST_VALGRIND)
318 test:
319 suffix: 12_hip
320 TODO: too many processes accessing the GPU
321 args: -bv_type {{svec mat}} -vec_type hip
322 requires: hip !single !defined(PETSCTEST_VALGRIND)
323
324 TEST*/
325