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