Actual source code: test16.c
slepc-3.11.2 2019-07-30
1: /*
2: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3: SLEPc - Scalable Library for Eigenvalue Problem Computations
4: Copyright (c) 2002-2019, 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: PetscErrorCode ierr;
18: Vec t,v;
19: Mat S,M,Q;
20: BV U,V,UU;
21: PetscInt i,ii,j,jj,n=10,k=6,l=3,d=3,deg,id,lds;
22: PetscScalar *pS,*q;
23: PetscReal norm;
24: PetscViewer view;
25: PetscBool verbose;
27: SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
28: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
29: PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
30: PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL);
31: PetscOptionsGetInt(NULL,NULL,"-d",&d,NULL);
32: PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
33: PetscPrintf(PETSC_COMM_WORLD,"Test tensor BV of degree %D with %D columns of dimension %D*d.\n",d,k,n);
35: /* Create template vector */
36: VecCreate(PETSC_COMM_WORLD,&t);
37: VecSetSizes(t,PETSC_DECIDE,n);
38: VecSetFromOptions(t);
40: /* Create BV object U */
41: BVCreate(PETSC_COMM_WORLD,&U);
42: PetscObjectSetName((PetscObject)U,"U");
43: BVSetSizesFromVec(U,t,k+d-1);
44: BVSetFromOptions(U);
45: PetscObjectSetName((PetscObject)U,"U");
47: /* Fill first d columns of U */
48: for (j=0;j<d;j++) {
49: BVGetColumn(U,j,&v);
50: VecSet(v,0.0);
51: for (i=0;i<4;i++) {
52: if (i+j<n) {
53: VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES);
54: }
55: }
56: VecAssemblyBegin(v);
57: VecAssemblyEnd(v);
58: BVRestoreColumn(U,j,&v);
59: }
61: /* Create tensor BV */
62: BVCreateTensor(U,d,&V);
63: PetscObjectSetName((PetscObject)V,"V");
64: BVTensorGetDegree(V,°);
65: if (deg!=d) SETERRQ(PETSC_COMM_WORLD,1,"Wrong degree");
67: /* Set up viewer */
68: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
69: PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_INFO_DETAIL);
70: BVView(V,view);
71: PetscViewerPopFormat(view);
72: if (verbose) {
73: PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
74: BVView(V,view);
75: }
77: /* Build first column from previously introduced coefficients */
78: BVTensorBuildFirstColumn(V,d);
79: if (verbose) {
80: PetscPrintf(PETSC_COMM_WORLD,"After building the first column - - - - -\n");
81: BVView(V,view);
82: }
84: /* Test orthogonalization */
85: BVTensorGetFactors(V,&UU,&S);
86: BVGetActiveColumns(UU,NULL,&j);
87: BVGetSizes(UU,NULL,NULL,&id);
88: if (id!=k+d-1) SETERRQ(PETSC_COMM_WORLD,1,"Wrong dimensions");
89: lds = id*d;
90: for (jj=1;jj<k;jj++) {
91: /* set new orthogonal column in U */
92: BVGetColumn(UU,j,&v);
93: VecSet(v,0.0);
94: for (i=0;i<4;i++) {
95: if (i+j<n) {
96: VecSetValue(v,i+j,(PetscScalar)(3*i+j-2),INSERT_VALUES);
97: }
98: }
99: VecAssemblyBegin(v);
100: VecAssemblyEnd(v);
101: BVRestoreColumn(UU,j,&v);
102: BVOrthonormalizeColumn(UU,j,PETSC_TRUE,NULL,NULL);
103: j++;
104: BVSetActiveColumns(UU,0,j);
105: /* set new column of S */
106: MatDenseGetArray(S,&pS);
107: for (ii=0;ii<d;ii++) {
108: for (i=0;i<ii+jj+1;i++) {
109: pS[i+ii*id+jj*lds] = (PetscScalar)(2*ii+i+0.5*jj);
110: }
111: }
112: MatDenseRestoreArray(S,&pS);
113: BVOrthonormalizeColumn(V,jj,PETSC_TRUE,NULL,NULL);
114: }
115: BVTensorRestoreFactors(V,&UU,&S);
116: if (verbose) {
117: PetscPrintf(PETSC_COMM_WORLD,"After orthogonalization - - - - -\n");
118: BVView(V,view);
119: }
121: /* Check orthogonality */
122: MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
123: BVDot(V,V,M);
124: MatShift(M,-1.0);
125: MatNorm(M,NORM_1,&norm);
126: if (norm<100*PETSC_MACHINE_EPSILON) {
127: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
128: } else {
129: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
130: }
132: /* Test BVTensorCompress */
133: BVSetActiveColumns(V,0,l);
134: BVTensorCompress(V,0);
135: if (verbose) {
136: PetscPrintf(PETSC_COMM_WORLD,"After BVTensorCompress - - - - -\n");
137: BVView(V,view);
138: }
140: /* Create Mat */
141: MatCreateSeqDense(PETSC_COMM_SELF,k,l,NULL,&Q);
142: PetscObjectSetName((PetscObject)Q,"Q");
143: MatDenseGetArray(Q,&q);
144: for (i=0;i<k;i++)
145: for (j=0;j<l;j++)
146: q[i+j*k] = (i<j)? 2.0: -0.5;
147: MatDenseRestoreArray(Q,&q);
148: if (verbose) {
149: MatView(Q,NULL);
150: }
152: /* Test BVMultInPlace */
153: BVMultInPlace(V,Q,1,l);
154: if (verbose) {
155: PetscPrintf(PETSC_COMM_WORLD,"After BVMultInPlace - - - - -\n");
156: BVView(V,view);
157: }
159: BVDestroy(&U);
160: BVDestroy(&V);
161: MatDestroy(&Q);
162: MatDestroy(&M);
163: VecDestroy(&t);
164: SlepcFinalize();
165: return ierr;
166: }
168: /*TEST
170: test:
171: suffix: 1
172: nsize: 2
173: args: -bv_type {{vecs contiguous svec mat}shared output}
174: output_file: output/test16_1.out
176: TEST*/