Actual source code: test16.c
slepc-3.21.2 2024-09-25
1: /*
2: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3: SLEPc - Scalable Library for Eigenvalue Problem Computations
4: Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain
6: This file is part of SLEPc.
7: SLEPc is distributed under a 2-clause BSD license (see LICENSE).
8: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
9: */
11: static char help[] = "Test tensor BV.\n\n";
13: #include <slepcbv.h>
15: int main(int argc,char **argv)
16: {
17: Vec t,v;
18: Mat S,M,Q;
19: BV U,V,UU;
20: PetscInt i,ii,j,jj,n=10,k=6,l=3,d=3,deg,id,lds;
21: PetscScalar *pS,*q;
22: PetscReal norm;
23: PetscViewer view;
24: PetscBool verbose;
26: PetscFunctionBeginUser;
27: PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
28: PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
29: PetscCall(PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL));
30: PetscCall(PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL));
31: PetscCall(PetscOptionsGetInt(NULL,NULL,"-d",&d,NULL));
32: PetscCall(PetscOptionsHasName(NULL,NULL,"-verbose",&verbose));
33: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Test tensor BV of degree %" PetscInt_FMT " with %" PetscInt_FMT " columns of dimension %" PetscInt_FMT "*d.\n",d,k,n));
35: /* Create template vector */
36: PetscCall(VecCreate(PETSC_COMM_WORLD,&t));
37: PetscCall(VecSetSizes(t,PETSC_DECIDE,n));
38: PetscCall(VecSetFromOptions(t));
40: /* Create BV object U */
41: PetscCall(BVCreate(PETSC_COMM_WORLD,&U));
42: PetscCall(PetscObjectSetName((PetscObject)U,"U"));
43: PetscCall(BVSetSizesFromVec(U,t,k+d-1));
44: PetscCall(BVSetFromOptions(U));
45: PetscCall(PetscObjectSetName((PetscObject)U,"U"));
47: /* Fill first d columns of U */
48: for (j=0;j<d;j++) {
49: PetscCall(BVGetColumn(U,j,&v));
50: PetscCall(VecSet(v,0.0));
51: for (i=0;i<4;i++) {
52: if (i+j<n) PetscCall(VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES));
53: }
54: PetscCall(VecAssemblyBegin(v));
55: PetscCall(VecAssemblyEnd(v));
56: PetscCall(BVRestoreColumn(U,j,&v));
57: }
59: /* Create tensor BV */
60: PetscCall(BVCreateTensor(U,d,&V));
61: PetscCall(PetscObjectSetName((PetscObject)V,"V"));
62: PetscCall(BVTensorGetDegree(V,°));
63: PetscCheck(deg==d,PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Wrong degree");
65: /* Set up viewer */
66: PetscCall(PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view));
67: PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_INFO_DETAIL));
68: PetscCall(BVView(V,view));
69: PetscCall(PetscViewerPopFormat(view));
70: if (verbose) {
71: PetscCall(PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB));
72: PetscCall(BVView(V,view));
73: }
75: /* Build first column from previously introduced coefficients */
76: PetscCall(BVTensorBuildFirstColumn(V,d));
77: if (verbose) {
78: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After building the first column - - - - -\n"));
79: PetscCall(BVView(V,view));
80: }
82: /* Test orthogonalization */
83: PetscCall(BVTensorGetFactors(V,&UU,&S));
84: PetscCall(BVGetActiveColumns(UU,NULL,&j));
85: PetscCall(BVGetSizes(UU,NULL,NULL,&id));
86: PetscCheck(id==k+d-1,PETSC_COMM_WORLD,PETSC_ERR_PLIB,"Wrong dimensions");
87: lds = id*d;
88: for (jj=1;jj<k;jj++) {
89: /* set new orthogonal column in U */
90: PetscCall(BVGetColumn(UU,j,&v));
91: PetscCall(VecSet(v,0.0));
92: for (i=0;i<4;i++) {
93: if (i+j<n) PetscCall(VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES));
94: }
95: PetscCall(VecAssemblyBegin(v));
96: PetscCall(VecAssemblyEnd(v));
97: PetscCall(BVRestoreColumn(UU,j,&v));
98: PetscCall(BVOrthonormalizeColumn(UU,j,PETSC_TRUE,NULL,NULL));
99: j++;
100: PetscCall(BVSetActiveColumns(UU,0,j));
101: /* set new column of S */
102: PetscCall(MatDenseGetArray(S,&pS));
103: for (ii=0;ii<d;ii++) {
104: for (i=0;i<ii+jj+1;i++) {
105: pS[i+ii*id+jj*lds] = (PetscScalar)(2*ii+i+0.5*jj);
106: }
107: }
108: PetscCall(MatDenseRestoreArray(S,&pS));
109: PetscCall(BVOrthonormalizeColumn(V,jj,PETSC_TRUE,NULL,NULL));
110: }
111: PetscCall(BVTensorRestoreFactors(V,&UU,&S));
112: if (verbose) {
113: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After orthogonalization - - - - -\n"));
114: PetscCall(BVView(V,view));
115: }
117: /* Check orthogonality */
118: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M));
119: PetscCall(BVDot(V,V,M));
120: PetscCall(MatShift(M,-1.0));
121: PetscCall(MatNorm(M,NORM_1,&norm));
122: if (norm<100*PETSC_MACHINE_EPSILON) PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n"));
123: else PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm));
125: /* Test BVTensorCompress */
126: PetscCall(BVSetActiveColumns(V,0,l));
127: PetscCall(BVTensorCompress(V,0));
128: if (verbose) {
129: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After BVTensorCompress - - - - -\n"));
130: PetscCall(BVView(V,view));
131: }
133: /* Create Mat */
134: PetscCall(MatCreateSeqDense(PETSC_COMM_SELF,k,l,NULL,&Q));
135: PetscCall(PetscObjectSetName((PetscObject)Q,"Q"));
136: PetscCall(MatDenseGetArray(Q,&q));
137: for (i=0;i<k;i++)
138: for (j=0;j<l;j++)
139: q[i+j*k] = (i<j)? 2.0: -0.5;
140: PetscCall(MatDenseRestoreArray(Q,&q));
141: if (verbose) PetscCall(MatView(Q,NULL));
143: /* Test BVMultInPlace */
144: PetscCall(BVMultInPlace(V,Q,1,l));
145: if (verbose) {
146: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"After BVMultInPlace - - - - -\n"));
147: PetscCall(BVView(V,view));
148: }
150: /* Test BVNorm */
151: PetscCall(BVNorm(V,NORM_1,&norm));
152: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"Norm: %g\n",(double)norm));
154: PetscCall(BVDestroy(&U));
155: PetscCall(BVDestroy(&V));
156: PetscCall(MatDestroy(&Q));
157: PetscCall(MatDestroy(&M));
158: PetscCall(VecDestroy(&t));
159: PetscCall(SlepcFinalize());
160: return 0;
161: }
163: /*TEST
165: testset:
166: nsize: 2
167: output_file: output/test16_1.out
168: filter: grep -v "doing matmult"
169: test:
170: suffix: 1
171: args: -bv_type {{vecs contiguous svec mat}}
172: test:
173: suffix: 1_cuda
174: args: -bv_type {{vecs svec mat}} -vec_type cuda
175: requires: cuda
177: TEST*/