Actual source code: test18.c
slepc-3.18.1 2022-11-02
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 BVNormalize().\n\n";
13: #include <slepcbv.h>
15: int main(int argc,char **argv)
16: {
17: BV X,Y,Z;
18: Mat B;
19: Vec v,t;
20: PetscInt i,j,n=20,k=8,l=3,Istart,Iend;
21: PetscViewer view;
22: PetscBool verbose;
23: PetscReal norm,error;
24: PetscScalar alpha;
25: #if !defined(PETSC_USE_COMPLEX)
26: PetscScalar *eigi;
27: PetscRandom rand;
28: PetscReal normr,normi;
29: Vec vi;
30: #endif
33: SlepcInitialize(&argc,&argv,(char*)0,help);
34: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
35: PetscOptionsGetInt(NULL,NULL,"-k",&k,NULL);
36: PetscOptionsGetInt(NULL,NULL,"-l",&l,NULL);
37: PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
38: PetscPrintf(PETSC_COMM_WORLD,"Test BV normalization with %" PetscInt_FMT " columns of length %" PetscInt_FMT ".\n",k,n);
40: /* Create template vector */
41: VecCreate(PETSC_COMM_WORLD,&t);
42: VecSetSizes(t,PETSC_DECIDE,n);
43: VecSetFromOptions(t);
45: /* Create BV object X */
46: BVCreate(PETSC_COMM_WORLD,&X);
47: PetscObjectSetName((PetscObject)X,"X");
48: BVSetSizesFromVec(X,t,k);
49: BVSetFromOptions(X);
51: /* Set up viewer */
52: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
53: if (verbose) PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
55: /* Fill X entries */
56: for (j=0;j<k;j++) {
57: BVGetColumn(X,j,&v);
58: VecSet(v,0.0);
59: for (i=0;i<=n/2;i++) {
60: if (i+j<n) {
61: alpha = (3.0*i+j-2)/(2*(i+j+1));
62: VecSetValue(v,i+j,alpha,INSERT_VALUES);
63: }
64: }
65: VecAssemblyBegin(v);
66: VecAssemblyEnd(v);
67: BVRestoreColumn(X,j,&v);
68: }
69: if (verbose) BVView(X,view);
71: /* Create copies on Y and Z */
72: BVDuplicate(X,&Y);
73: PetscObjectSetName((PetscObject)Y,"Y");
74: BVCopy(X,Y);
75: BVDuplicate(X,&Z);
76: PetscObjectSetName((PetscObject)Z,"Z");
77: BVCopy(X,Z);
78: BVSetActiveColumns(X,l,k);
79: BVSetActiveColumns(Y,l,k);
80: BVSetActiveColumns(Z,l,k);
82: /* Test BVNormalize */
83: BVNormalize(X,NULL);
84: if (verbose) BVView(X,view);
86: /* Check unit norm of columns */
87: error = 0.0;
88: for (j=l;j<k;j++) {
89: BVNormColumn(X,j,NORM_2,&norm);
90: error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0)));
91: }
92: if (error<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized vectors < 100*eps\n");
93: else PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized vectors: %g\n",(double)norm);
95: /* Create inner product matrix */
96: MatCreate(PETSC_COMM_WORLD,&B);
97: MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
98: MatSetFromOptions(B);
99: MatSetUp(B);
100: PetscObjectSetName((PetscObject)B,"B");
102: MatGetOwnershipRange(B,&Istart,&Iend);
103: for (i=Istart;i<Iend;i++) {
104: if (i>0) MatSetValue(B,i,i-1,-1.0,INSERT_VALUES);
105: if (i<n-1) MatSetValue(B,i,i+1,-1.0,INSERT_VALUES);
106: MatSetValue(B,i,i,2.0,INSERT_VALUES);
107: }
108: MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
109: MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
110: if (verbose) MatView(B,view);
112: /* Test BVNormalize with B-norm */
113: BVSetMatrix(Y,B,PETSC_FALSE);
114: BVNormalize(Y,NULL);
115: if (verbose) BVView(Y,view);
117: /* Check unit B-norm of columns */
118: error = 0.0;
119: for (j=l;j<k;j++) {
120: BVNormColumn(Y,j,NORM_2,&norm);
121: error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0)));
122: }
123: if (error<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Deviation from B-normalized vectors < 100*eps\n");
124: else PetscPrintf(PETSC_COMM_WORLD,"Deviation from B-normalized vectors: %g\n",(double)norm);
126: #if !defined(PETSC_USE_COMPLEX)
127: /* fill imaginary parts */
128: PetscCalloc1(k,&eigi);
129: PetscRandomCreate(PETSC_COMM_WORLD,&rand);
130: PetscRandomSetFromOptions(rand);
131: for (j=l+1;j<k-1;j+=5) {
132: PetscRandomGetValue(rand,&alpha);
133: eigi[j] = alpha;
134: eigi[j+1] = -alpha;
135: }
136: PetscRandomDestroy(&rand);
137: if (verbose) {
138: VecCreateSeqWithArray(PETSC_COMM_SELF,1,k,eigi,&v);
139: VecView(v,view);
140: VecDestroy(&v);
141: }
143: /* Test BVNormalize with complex conjugate columns */
144: BVNormalize(Z,eigi);
145: if (verbose) BVView(Z,view);
147: /* Check unit norm of (complex conjugate) columns */
148: error = 0.0;
149: for (j=l;j<k;j++) {
150: if (eigi[j]) {
151: BVGetColumn(Z,j,&v);
152: BVGetColumn(Z,j+1,&vi);
153: VecNormBegin(v,NORM_2,&normr);
154: VecNormBegin(vi,NORM_2,&normi);
155: VecNormEnd(v,NORM_2,&normr);
156: VecNormEnd(vi,NORM_2,&normi);
157: BVRestoreColumn(Z,j+1,&vi);
158: BVRestoreColumn(Z,j,&v);
159: norm = SlepcAbsEigenvalue(normr,normi);
160: j++;
161: } else {
162: BVGetColumn(Z,j,&v);
163: VecNorm(v,NORM_2,&norm);
164: BVRestoreColumn(Z,j,&v);
165: }
166: error = PetscMax(error,PetscAbsReal(norm-PetscRealConstant(1.0)));
167: }
168: if (error<100*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized conjugate vectors < 100*eps\n");
169: else PetscPrintf(PETSC_COMM_WORLD,"Deviation from normalized conjugate vectors: %g\n",(double)norm);
170: PetscFree(eigi);
171: #endif
173: BVDestroy(&X);
174: BVDestroy(&Y);
175: BVDestroy(&Z);
176: MatDestroy(&B);
177: VecDestroy(&t);
178: SlepcFinalize();
179: return 0;
180: }
182: /*TEST
184: testset:
185: args: -n 250 -l 6 -k 15
186: nsize: {{1 2}}
187: requires: !complex
188: output_file: output/test18_1.out
189: test:
190: suffix: 1
191: args: -bv_type {{vecs contiguous svec mat}}
192: test:
193: suffix: 1_cuda
194: args: -bv_type svec -vec_type cuda
195: requires: cuda
197: testset:
198: args: -n 250 -l 6 -k 15
199: nsize: {{1 2}}
200: requires: complex
201: output_file: output/test18_1_complex.out
202: test:
203: suffix: 1_complex
204: args: -bv_type {{vecs contiguous svec mat}}
205: test:
206: suffix: 1_cuda_complex
207: args: -bv_type svec -vec_type cuda
208: requires: cuda
210: TEST*/