GCC Code Coverage Report


Directory: ./
File: src/svd/tests/test19.c
Date: 2025-10-04 04:19:13
Exec Total Coverage
Lines: 57 57 100.0%
Functions: 1 1 100.0%
Branches: 174 254 68.5%

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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 RSVD on a low-rank matrix.\n\n";
12
13 #include <slepcsvd.h>
14
15 10 int main(int argc,char **argv)
16 {
17 10 Mat A,Ur,Vr;
18 10 SVD svd;
19 10 PetscInt m=80,n=40,rank=3,Istart,Iend,i,j;
20 10 PetscScalar *u;
21 10 PetscReal tol=PETSC_SMALL;
22
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10 PetscFunctionBeginUser;
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10 PetscCall(SlepcInitialize(&argc,&argv,NULL,help));
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10 PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
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10 PetscCall(PetscOptionsGetInt(NULL,NULL,"-m",&m,NULL));
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10 PetscCall(PetscOptionsGetInt(NULL,NULL,"-rank",&rank,NULL));
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10 PetscCheck(rank>0,PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"The rank must be >=1");
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10 PetscCheck(rank<PetscMin(m,n),PETSC_COMM_WORLD,PETSC_ERR_USER_INPUT,"The rank must be <min(m,n)");
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10 PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\nSVD of low-rank matrix, size %" PetscInt_FMT "x%" PetscInt_FMT ", rank %" PetscInt_FMT "\n\n",m,n,rank));
32
33 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
34 Create a low-rank matrix A = Ur*Vr'
35 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
36
37
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10 PetscCall(MatCreate(PETSC_COMM_WORLD,&Ur));
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10 PetscCall(MatSetSizes(Ur,PETSC_DECIDE,PETSC_DECIDE,m,rank));
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10 PetscCall(MatSetType(Ur,MATDENSE));
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10 PetscCall(MatGetOwnershipRange(Ur,&Istart,&Iend));
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10 PetscCall(MatDenseGetArray(Ur,&u));
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810 for (i=Istart;i<Iend;i++) {
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800 if (i<m/2) u[i-Istart] = 1.0;
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800 if (i==0) u[i+Iend-2*Istart] = -2.0;
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800 if (i==1) u[i+Iend-2*Istart] = -1.0;
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800 if (i==2) u[i+Iend-2*Istart] = -1.0;
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1600 for (j=2;j<rank;j++) if (i==j) u[j+j*Iend-(j+1)*Istart] = j;
48 }
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10 PetscCall(MatDenseRestoreArray(Ur,&u));
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10 PetscCall(MatAssemblyBegin(Ur,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyEnd(Ur,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatCreate(PETSC_COMM_WORLD,&Vr));
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10 PetscCall(MatSetSizes(Vr,PETSC_DECIDE,PETSC_DECIDE,n,rank));
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10 PetscCall(MatSetType(Vr,MATDENSE));
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10 PetscCall(MatGetOwnershipRange(Vr,&Istart,&Iend));
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10 PetscCall(MatDenseGetArray(Vr,&u));
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410 for (i=Istart;i<Iend;i++) {
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400 if (i>n/2) u[i-Istart] = 1.0;
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400 if (i==0) u[i+Iend-2*Istart] = 1.0;
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400 if (i==1) u[i+Iend-2*Istart] = 2.0;
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400 if (i==2) u[i+Iend-2*Istart] = 2.0;
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800 for (j=2;j<rank;j++) if (i==j) u[j+j*Iend-(j+1)*Istart] = j;
63 }
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10 PetscCall(MatDenseRestoreArray(Vr,&u));
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10 PetscCall(MatAssemblyBegin(Vr,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatAssemblyEnd(Vr,MAT_FINAL_ASSEMBLY));
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10 PetscCall(MatCreateLRC(NULL,Ur,NULL,Vr,&A));
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10 PetscCall(MatDestroy(&Ur));
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10 PetscCall(MatDestroy(&Vr));
70
71 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
72 Create the SVD solver
73 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
74
75
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10 PetscCall(SVDCreate(PETSC_COMM_WORLD,&svd));
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10 PetscCall(SVDSetOperators(svd,A,NULL));
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10 PetscCall(SVDSetType(svd,SVDRANDOMIZED));
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10 PetscCall(SVDSetDimensions(svd,2,PETSC_DETERMINE,PETSC_DETERMINE));
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10 PetscCall(SVDSetConvergenceTest(svd,SVD_CONV_MAXIT));
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10 PetscCall(SVDSetTolerances(svd,tol,1)); /* maxit=1 to disable outer iteration */
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10 PetscCall(SVDSetFromOptions(svd));
82
83 /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
84 Compute the singular triplets and display solution
85 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
86
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10 PetscCall(SVDSolve(svd));
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10 PetscCall(SVDErrorView(svd,SVD_ERROR_RELATIVE,NULL));
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10 PetscCall(SVDDestroy(&svd));
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10 PetscCall(MatDestroy(&A));
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10 PetscCall(SlepcFinalize());
92 return 0;
93 }
94
95 /*TEST
96
97 test:
98 args: -bv_orthog_block tsqr # currently fail with other block orthogonalization methods
99 requires: !single
100
101 TEST*/
102