Actual source code: test2.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 BV orthogonalization functions.\n\n";
13: #include <slepcbv.h>
15: int main(int argc,char **argv)
16: {
18: BV X,Y,Z;
19: Mat M,R;
20: Vec v,t,e;
21: PetscInt i,j,n=20,k=8;
22: PetscViewer view;
23: PetscBool verbose;
24: PetscReal norm,condn=1.0;
25: PetscScalar alpha;
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: PetscOptionsGetReal(NULL,NULL,"-condn",&condn,NULL);
31: if (condn<1.0) SETERRQ(PETSC_COMM_WORLD,1,"The condition number must be > 1");
32: PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
33: PetscPrintf(PETSC_COMM_WORLD,"Test BV orthogonalization with %D columns of length %D.\n",k,n);
34: if (condn>1.0) {
35: PetscPrintf(PETSC_COMM_WORLD," - Using a random BV with condition number = %g\n",(double)condn);
36: }
38: /* Create template vector */
39: VecCreate(PETSC_COMM_WORLD,&t);
40: VecSetSizes(t,PETSC_DECIDE,n);
41: VecSetFromOptions(t);
43: /* Create BV object X */
44: BVCreate(PETSC_COMM_WORLD,&X);
45: PetscObjectSetName((PetscObject)X,"X");
46: BVSetSizesFromVec(X,t,k);
47: BVSetFromOptions(X);
49: /* Set up viewer */
50: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
51: if (verbose) {
52: PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
53: }
55: /* Fill X entries */
56: if (condn==1.0) {
57: for (j=0;j<k;j++) {
58: BVGetColumn(X,j,&v);
59: VecSet(v,0.0);
60: for (i=0;i<=n/2;i++) {
61: if (i+j<n) {
62: alpha = (3.0*i+j-2)/(2*(i+j+1));
63: VecSetValue(v,i+j,alpha,INSERT_VALUES);
64: }
65: }
66: VecAssemblyBegin(v);
67: VecAssemblyEnd(v);
68: BVRestoreColumn(X,j,&v);
69: }
70: } else {
71: BVSetRandomCond(X,condn);
72: }
73: if (verbose) {
74: BVView(X,view);
75: }
77: /* Create copies on Y and Z */
78: BVDuplicate(X,&Y);
79: PetscObjectSetName((PetscObject)Y,"Y");
80: BVCopy(X,Y);
81: BVDuplicate(X,&Z);
82: PetscObjectSetName((PetscObject)Z,"Z");
83: BVCopy(X,Z);
85: /* Test BVOrthogonalizeColumn */
86: for (j=0;j<k;j++) {
87: BVOrthogonalizeColumn(X,j,NULL,&norm,NULL);
88: alpha = 1.0/norm;
89: BVScaleColumn(X,j,alpha);
90: }
91: if (verbose) {
92: BVView(X,view);
93: }
95: /* Check orthogonality */
96: MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&M);
97: BVDot(X,X,M);
98: MatShift(M,-1.0);
99: MatNorm(M,NORM_1,&norm);
100: if (norm<100*PETSC_MACHINE_EPSILON) {
101: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
102: } else {
103: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
104: }
106: /* Test BVOrthogonalize */
107: MatCreateSeqDense(PETSC_COMM_SELF,k,k,NULL,&R);
108: PetscObjectSetName((PetscObject)R,"R");
109: BVOrthogonalize(Y,R);
110: if (verbose) {
111: BVView(Y,view);
112: MatView(R,view);
113: }
115: /* Check orthogonality */
116: BVDot(Y,Y,M);
117: MatShift(M,-1.0);
118: MatNorm(M,NORM_1,&norm);
119: if (norm<100*PETSC_MACHINE_EPSILON) {
120: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality < 100*eps\n");
121: } else {
122: PetscPrintf(PETSC_COMM_WORLD,"Level of orthogonality: %g\n",(double)norm);
123: }
125: /* Check residual */
126: BVMult(Z,-1.0,1.0,Y,R);
127: BVNorm(Z,NORM_FROBENIUS,&norm);
128: if (norm<100*PETSC_MACHINE_EPSILON) {
129: PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR|| < 100*eps\n");
130: } else {
131: PetscPrintf(PETSC_COMM_WORLD,"Residual ||X-QR||: %g\n",(double)norm);
132: }
134: /* Test BVOrthogonalizeVec */
135: VecDuplicate(t,&e);
136: VecSet(e,1.0);
137: BVOrthogonalizeVec(X,e,NULL,&norm,NULL);
138: PetscPrintf(PETSC_COMM_WORLD,"Norm of ones(n,1) after orthogonalizing against X: %g\n",(double)norm);
140: MatDestroy(&M);
141: MatDestroy(&R);
142: BVDestroy(&X);
143: BVDestroy(&Y);
144: BVDestroy(&Z);
145: VecDestroy(&e);
146: VecDestroy(&t);
147: SlepcFinalize();
148: return ierr;
149: }
151: /*TEST
153: test:
154: suffix: 1
155: nsize: 1
156: args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type cgs
157: output_file: output/test2_1.out
159: test:
160: suffix: 1_cuda
161: nsize: 1
162: args: -bv_type svec -vec_type cuda -bv_orthog_type cgs
163: requires: cuda
164: output_file: output/test2_1.out
166: test:
167: suffix: 2
168: nsize: 1
169: args: -bv_type {{vecs contiguous svec mat}shared output} -bv_orthog_type mgs
170: output_file: output/test2_1.out
172: test:
173: suffix: 2_cuda
174: nsize: 1
175: args: -bv_type svec -vec_type cuda -bv_orthog_type mgs
176: requires: cuda
177: output_file: output/test2_1.out
179: test:
180: suffix: 3
181: nsize: 1
182: args: -bv_type {{vecs contiguous svec mat}shared output} -condn 1e8
183: requires: !single
184: filter: grep -v "against"
185: output_file: output/test2_3.out
187: TEST*/