Actual source code: test9.c
slepc-3.17.0 2022-03-31
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 BV matrix projection.\n\n";
13: #include <slepcbv.h>
15: int main(int argc,char **argv)
16: {
17: Vec t,v;
18: Mat B,G,H0,H1;
19: BV X,Y,Z;
20: PetscInt i,j,n=20,kx=6,lx=3,ky=5,ly=2,Istart,Iend,col[5];
21: PetscScalar alpha,value[] = { -1, 1, 1, 1, 1 };
22: PetscViewer view;
23: PetscReal norm;
24: PetscBool verbose;
26: SlepcInitialize(&argc,&argv,(char*)0,help);
27: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
28: PetscOptionsGetInt(NULL,NULL,"-kx",&kx,NULL);
29: PetscOptionsGetInt(NULL,NULL,"-lx",&lx,NULL);
30: PetscOptionsGetInt(NULL,NULL,"-ky",&ky,NULL);
31: PetscOptionsGetInt(NULL,NULL,"-ly",&ly,NULL);
32: PetscOptionsHasName(NULL,NULL,"-verbose",&verbose);
33: PetscPrintf(PETSC_COMM_WORLD,"Test BV projection (n=%" PetscInt_FMT ").\n",n);
34: PetscPrintf(PETSC_COMM_WORLD,"X has %" PetscInt_FMT " active columns (%" PetscInt_FMT " leading columns).\n",kx,lx);
35: PetscPrintf(PETSC_COMM_WORLD,"Y has %" PetscInt_FMT " active columns (%" PetscInt_FMT " leading columns).\n",ky,ly);
37: /* Set up viewer */
38: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
39: if (verbose) PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
41: /* Create non-symmetric matrix G (Toeplitz) */
42: MatCreate(PETSC_COMM_WORLD,&G);
43: MatSetSizes(G,PETSC_DECIDE,PETSC_DECIDE,n,n);
44: MatSetFromOptions(G);
45: MatSetUp(G);
46: PetscObjectSetName((PetscObject)G,"G");
48: MatGetOwnershipRange(G,&Istart,&Iend);
49: for (i=Istart;i<Iend;i++) {
50: col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
51: if (i==0) MatSetValues(G,1,&i,PetscMin(4,n-i),col+1,value+1,INSERT_VALUES);
52: else MatSetValues(G,1,&i,PetscMin(5,n-i+1),col,value,INSERT_VALUES);
53: }
54: MatAssemblyBegin(G,MAT_FINAL_ASSEMBLY);
55: MatAssemblyEnd(G,MAT_FINAL_ASSEMBLY);
56: if (verbose) MatView(G,view);
58: /* Create symmetric matrix B (1-D Laplacian) */
59: MatCreate(PETSC_COMM_WORLD,&B);
60: MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
61: MatSetFromOptions(B);
62: MatSetUp(B);
63: PetscObjectSetName((PetscObject)B,"B");
65: MatGetOwnershipRange(B,&Istart,&Iend);
66: for (i=Istart;i<Iend;i++) {
67: if (i>0) MatSetValue(B,i,i-1,-1.0,INSERT_VALUES);
68: if (i<n-1) MatSetValue(B,i,i+1,-1.0,INSERT_VALUES);
69: MatSetValue(B,i,i,2.0,INSERT_VALUES);
70: }
71: MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
72: MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
73: MatCreateVecs(B,&t,NULL);
74: if (verbose) MatView(B,view);
76: /* Create BV object X */
77: BVCreate(PETSC_COMM_WORLD,&X);
78: PetscObjectSetName((PetscObject)X,"X");
79: BVSetSizesFromVec(X,t,kx+2); /* two extra columns to test active columns */
80: BVSetFromOptions(X);
82: /* Fill X entries */
83: for (j=0;j<kx+2;j++) {
84: BVGetColumn(X,j,&v);
85: VecSet(v,0.0);
86: for (i=0;i<4;i++) {
87: if (i+j<n) {
88: #if defined(PETSC_USE_COMPLEX)
89: alpha = PetscCMPLX((PetscReal)(3*i+j-2),(PetscReal)(2*i));
90: #else
91: alpha = (PetscReal)(3*i+j-2);
92: #endif
93: VecSetValue(v,i+j,alpha,INSERT_VALUES);
94: }
95: }
96: VecAssemblyBegin(v);
97: VecAssemblyEnd(v);
98: BVRestoreColumn(X,j,&v);
99: }
100: if (verbose) BVView(X,view);
102: /* Duplicate BV object and store Z=G*X */
103: BVDuplicate(X,&Z);
104: PetscObjectSetName((PetscObject)Z,"Z");
105: BVSetActiveColumns(X,0,kx);
106: BVSetActiveColumns(Z,0,kx);
107: BVMatMult(X,G,Z);
108: BVSetActiveColumns(X,lx,kx);
109: BVSetActiveColumns(Z,lx,kx);
111: /* Create BV object Y */
112: BVCreate(PETSC_COMM_WORLD,&Y);
113: PetscObjectSetName((PetscObject)Y,"Y");
114: BVSetSizesFromVec(Y,t,ky+1);
115: BVSetFromOptions(Y);
116: BVSetActiveColumns(Y,ly,ky);
118: /* Fill Y entries */
119: for (j=0;j<ky+1;j++) {
120: BVGetColumn(Y,j,&v);
121: #if defined(PETSC_USE_COMPLEX)
122: alpha = PetscCMPLX((PetscReal)(j+1)/4.0,-(PetscReal)j);
123: #else
124: alpha = (PetscReal)(j+1)/4.0;
125: #endif
126: VecSet(v,(PetscScalar)(j+1)/4.0);
127: BVRestoreColumn(Y,j,&v);
128: }
129: if (verbose) BVView(Y,view);
131: /* Test BVMatProject for non-symmetric matrix G */
132: MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H0);
133: PetscObjectSetName((PetscObject)H0,"H0");
134: BVMatProject(X,G,Y,H0);
135: if (verbose) MatView(H0,view);
137: /* Test BVMatProject with previously stored G*X */
138: MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H1);
139: PetscObjectSetName((PetscObject)H1,"H1");
140: BVMatProject(Z,NULL,Y,H1);
141: if (verbose) MatView(H1,view);
143: /* Check that H0 and H1 are equal */
144: MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN);
145: MatNorm(H0,NORM_1,&norm);
146: if (norm<10*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n");
147: else PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm);
148: MatDestroy(&H0);
149: MatDestroy(&H1);
151: /* Test BVMatProject for symmetric matrix B with orthogonal projection */
152: MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H0);
153: PetscObjectSetName((PetscObject)H0,"H0");
154: BVMatProject(X,B,X,H0);
155: if (verbose) MatView(H0,view);
157: /* Repeat previous test with symmetry flag set */
158: MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE);
159: MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H1);
160: PetscObjectSetName((PetscObject)H1,"H1");
161: BVMatProject(X,B,X,H1);
162: if (verbose) MatView(H1,view);
164: /* Check that H0 and H1 are equal */
165: MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN);
166: MatNorm(H0,NORM_1,&norm);
167: if (norm<10*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n");
168: else PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm);
169: MatDestroy(&H0);
170: MatDestroy(&H1);
172: BVDestroy(&X);
173: BVDestroy(&Y);
174: BVDestroy(&Z);
175: MatDestroy(&B);
176: MatDestroy(&G);
177: VecDestroy(&t);
178: SlepcFinalize();
179: return 0;
180: }
182: /*TEST
184: testset:
185: output_file: output/test9_1.out
186: test:
187: suffix: 1
188: args: -bv_type {{vecs contiguous svec mat}shared output}
189: test:
190: suffix: 1_svec_vecs
191: args: -bv_type svec -bv_matmult vecs
192: test:
193: suffix: 1_cuda
194: args: -bv_type svec -mat_type aijcusparse
195: requires: cuda
196: test:
197: suffix: 2
198: nsize: 2
199: args: -bv_type {{vecs contiguous svec mat}shared output}
200: test:
201: suffix: 2_svec_vecs
202: nsize: 2
203: args: -bv_type svec -bv_matmult vecs
205: TEST*/