Actual source code: test9.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 matrix projection.\n\n";
13: #include <slepcbv.h>
15: int main(int argc,char **argv)
16: {
18: Vec t,v;
19: Mat B,G,H0,H1;
20: BV X,Y,Z;
21: PetscInt i,j,n=20,kx=6,lx=3,ky=5,ly=2,Istart,Iend,col[5];
22: PetscScalar alpha,value[] = { -1, 1, 1, 1, 1 };
23: PetscViewer view;
24: PetscReal norm;
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,"-kx",&kx,NULL);
30: PetscOptionsGetInt(NULL,NULL,"-lx",&lx,NULL);
31: PetscOptionsGetInt(NULL,NULL,"-ky",&ky,NULL);
32: PetscOptionsGetInt(NULL,NULL,"-ly",&ly,NULL);
33: PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
34: PetscPrintf(PETSC_COMM_WORLD,"Test BV projection (n=%D).\n",n);
35: PetscPrintf(PETSC_COMM_WORLD,"X has %D active columns (%D leading columns).\n",kx,lx);
36: PetscPrintf(PETSC_COMM_WORLD,"Y has %D active columns (%D leading columns).\n",ky,ly);
38: /* Set up viewer */
39: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
40: if (verbose) {
41: PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
42: }
44: /* Create non-symmetric matrix G (Toeplitz) */
45: MatCreate(PETSC_COMM_WORLD,&G);
46: MatSetSizes(G,PETSC_DECIDE,PETSC_DECIDE,n,n);
47: MatSetFromOptions(G);
48: MatSetUp(G);
49: PetscObjectSetName((PetscObject)G,"G");
51: MatGetOwnershipRange(G,&Istart,&Iend);
52: for (i=Istart;i<Iend;i++) {
53: col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
54: if (i==0) {
55: MatSetValues(G,1,&i,PetscMin(4,n-i),col+1,value+1,INSERT_VALUES);
56: } else {
57: MatSetValues(G,1,&i,PetscMin(5,n-i+1),col,value,INSERT_VALUES);
58: }
59: }
60: MatAssemblyBegin(G,MAT_FINAL_ASSEMBLY);
61: MatAssemblyEnd(G,MAT_FINAL_ASSEMBLY);
62: if (verbose) {
63: MatView(G,view);
64: }
66: /* Create symmetric matrix B (1-D Laplacian) */
67: MatCreate(PETSC_COMM_WORLD,&B);
68: MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
69: MatSetFromOptions(B);
70: MatSetUp(B);
71: PetscObjectSetName((PetscObject)B,"B");
73: MatGetOwnershipRange(B,&Istart,&Iend);
74: for (i=Istart;i<Iend;i++) {
75: if (i>0) { MatSetValue(B,i,i-1,-1.0,INSERT_VALUES); }
76: if (i<n-1) { MatSetValue(B,i,i+1,-1.0,INSERT_VALUES); }
77: MatSetValue(B,i,i,2.0,INSERT_VALUES);
78: }
79: MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
80: MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
81: MatCreateVecs(B,&t,NULL);
82: if (verbose) {
83: MatView(B,view);
84: }
86: /* Create BV object X */
87: BVCreate(PETSC_COMM_WORLD,&X);
88: PetscObjectSetName((PetscObject)X,"X");
89: BVSetSizesFromVec(X,t,kx+2); /* two extra columns to test active columns */
90: BVSetFromOptions(X);
92: /* Fill X entries */
93: for (j=0;j<kx+2;j++) {
94: BVGetColumn(X,j,&v);
95: VecSet(v,0.0);
96: for (i=0;i<4;i++) {
97: if (i+j<n) {
98: #if defined(PETSC_USE_COMPLEX)
99: alpha = (PetscReal)(3*i+j-2)+(PetscReal)(2*i)*PETSC_i;
100: #else
101: alpha = (PetscReal)(3*i+j-2);
102: #endif
103: VecSetValue(v,i+j,alpha,INSERT_VALUES);
104: }
105: }
106: VecAssemblyBegin(v);
107: VecAssemblyEnd(v);
108: BVRestoreColumn(X,j,&v);
109: }
110: if (verbose) {
111: BVView(X,view);
112: }
114: /* Duplicate BV object and store Z=G*X */
115: BVDuplicate(X,&Z);
116: PetscObjectSetName((PetscObject)Z,"Z");
117: BVSetActiveColumns(X,0,kx);
118: BVSetActiveColumns(Z,0,kx);
119: BVMatMult(X,G,Z);
120: BVSetActiveColumns(X,lx,kx);
121: BVSetActiveColumns(Z,lx,kx);
123: /* Create BV object Y */
124: BVCreate(PETSC_COMM_WORLD,&Y);
125: PetscObjectSetName((PetscObject)Y,"Y");
126: BVSetSizesFromVec(Y,t,ky+1);
127: BVSetFromOptions(Y);
128: BVSetActiveColumns(Y,ly,ky);
130: /* Fill Y entries */
131: for (j=0;j<ky+1;j++) {
132: BVGetColumn(Y,j,&v);
133: #if defined(PETSC_USE_COMPLEX)
134: alpha = (PetscReal)(j+1)/4.0-(PetscReal)j*PETSC_i;
135: #else
136: alpha = (PetscReal)(j+1)/4.0;
137: #endif
138: VecSet(v,(PetscScalar)(j+1)/4.0);
139: BVRestoreColumn(Y,j,&v);
140: }
141: if (verbose) {
142: BVView(Y,view);
143: }
145: /* Test BVMatProject for non-symmetric matrix G */
146: MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H0);
147: PetscObjectSetName((PetscObject)H0,"H0");
148: BVMatProject(X,G,Y,H0);
149: if (verbose) {
150: MatView(H0,view);
151: }
153: /* Test BVMatProject with previously stored G*X */
154: MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H1);
155: PetscObjectSetName((PetscObject)H1,"H1");
156: BVMatProject(Z,NULL,Y,H1);
157: if (verbose) {
158: MatView(H1,view);
159: }
161: /* Check that H0 and H1 are equal */
162: MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN);
163: MatNorm(H0,NORM_1,&norm);
164: if (norm<10*PETSC_MACHINE_EPSILON) {
165: PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n");
166: } else {
167: PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm);
168: }
169: MatDestroy(&H0);
170: MatDestroy(&H1);
172: /* Test BVMatProject for symmetric matrix B with orthogonal projection */
173: MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H0);
174: PetscObjectSetName((PetscObject)H0,"H0");
175: BVMatProject(X,B,X,H0);
176: if (verbose) {
177: MatView(H0,view);
178: }
180: /* Repeat previous test with symmetry flag set */
181: MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE);
182: MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H1);
183: PetscObjectSetName((PetscObject)H1,"H1");
184: BVMatProject(X,B,X,H1);
185: if (verbose) {
186: MatView(H1,view);
187: }
189: /* Check that H0 and H1 are equal */
190: MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN);
191: MatNorm(H0,NORM_1,&norm);
192: if (norm<10*PETSC_MACHINE_EPSILON) {
193: PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n");
194: } else {
195: PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm);
196: }
197: MatDestroy(&H0);
198: MatDestroy(&H1);
200: BVDestroy(&X);
201: BVDestroy(&Y);
202: BVDestroy(&Z);
203: MatDestroy(&B);
204: MatDestroy(&G);
205: VecDestroy(&t);
206: SlepcFinalize();
207: return ierr;
208: }
210: /*TEST
212: test:
213: suffix: 1
214: nsize: 1
215: args: -bv_type {{vecs contiguous svec mat}shared output}
216: output_file: output/test9_1.out
218: test:
219: suffix: 1_svec_vecs
220: nsize: 1
221: args: -bv_type svec -bv_matmult vecs
222: output_file: output/test9_1.out
224: test:
225: suffix: 1_cuda
226: nsize: 1
227: args: -bv_type svec -mat_type aijcusparse
228: requires: cuda
229: output_file: output/test9_1.out
231: test:
232: suffix: 2
233: nsize: 2
234: args: -bv_type {{vecs contiguous svec mat}shared output}
235: output_file: output/test9_1.out
237: test:
238: suffix: 2_svec_vecs
239: nsize: 2
240: args: -bv_type svec -bv_matmult vecs
241: output_file: output/test9_1.out
243: TEST*/