Actual source code: test9.c
slepc-3.18.3 2023-03-24
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;
27: SlepcInitialize(&argc,&argv,(char*)0,help);
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=%" PetscInt_FMT ").\n",n);
35: PetscPrintf(PETSC_COMM_WORLD,"X has %" PetscInt_FMT " active columns (%" PetscInt_FMT " leading columns).\n",kx,lx);
36: PetscPrintf(PETSC_COMM_WORLD,"Y has %" PetscInt_FMT " active columns (%" PetscInt_FMT " leading columns).\n",ky,ly);
38: /* Set up viewer */
39: PetscViewerASCIIGetStdout(PETSC_COMM_WORLD,&view);
40: if (verbose) PetscViewerPushFormat(view,PETSC_VIEWER_ASCII_MATLAB);
42: /* Create non-symmetric matrix G (Toeplitz) */
43: MatCreate(PETSC_COMM_WORLD,&G);
44: MatSetSizes(G,PETSC_DECIDE,PETSC_DECIDE,n,n);
45: MatSetFromOptions(G);
46: MatSetUp(G);
47: PetscObjectSetName((PetscObject)G,"G");
49: MatGetOwnershipRange(G,&Istart,&Iend);
50: for (i=Istart;i<Iend;i++) {
51: col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
52: if (i==0) MatSetValues(G,1,&i,PetscMin(4,n-i),col+1,value+1,INSERT_VALUES);
53: else MatSetValues(G,1,&i,PetscMin(5,n-i+1),col,value,INSERT_VALUES);
54: }
55: MatAssemblyBegin(G,MAT_FINAL_ASSEMBLY);
56: MatAssemblyEnd(G,MAT_FINAL_ASSEMBLY);
57: if (verbose) MatView(G,view);
59: /* Create symmetric matrix B (1-D Laplacian) */
60: MatCreate(PETSC_COMM_WORLD,&B);
61: MatSetSizes(B,PETSC_DECIDE,PETSC_DECIDE,n,n);
62: MatSetFromOptions(B);
63: MatSetUp(B);
64: PetscObjectSetName((PetscObject)B,"B");
66: MatGetOwnershipRange(B,&Istart,&Iend);
67: for (i=Istart;i<Iend;i++) {
68: if (i>0) MatSetValue(B,i,i-1,-1.0,INSERT_VALUES);
69: if (i<n-1) MatSetValue(B,i,i+1,-1.0,INSERT_VALUES);
70: MatSetValue(B,i,i,2.0,INSERT_VALUES);
71: }
72: MatAssemblyBegin(B,MAT_FINAL_ASSEMBLY);
73: MatAssemblyEnd(B,MAT_FINAL_ASSEMBLY);
74: MatCreateVecs(B,&t,NULL);
75: if (verbose) MatView(B,view);
77: /* Create BV object X */
78: BVCreate(PETSC_COMM_WORLD,&X);
79: PetscObjectSetName((PetscObject)X,"X");
80: BVSetSizesFromVec(X,t,kx+2); /* two extra columns to test active columns */
81: BVSetFromOptions(X);
83: /* Fill X entries */
84: for (j=0;j<kx+2;j++) {
85: BVGetColumn(X,j,&v);
86: VecSet(v,0.0);
87: for (i=0;i<4;i++) {
88: if (i+j<n) {
89: #if defined(PETSC_USE_COMPLEX)
90: alpha = PetscCMPLX((PetscReal)(3*i+j-2),(PetscReal)(2*i));
91: #else
92: alpha = (PetscReal)(3*i+j-2);
93: #endif
94: VecSetValue(v,i+j,alpha,INSERT_VALUES);
95: }
96: }
97: VecAssemblyBegin(v);
98: VecAssemblyEnd(v);
99: BVRestoreColumn(X,j,&v);
100: }
101: if (verbose) BVView(X,view);
103: /* Duplicate BV object and store Z=G*X */
104: BVDuplicate(X,&Z);
105: PetscObjectSetName((PetscObject)Z,"Z");
106: BVSetActiveColumns(X,0,kx);
107: BVSetActiveColumns(Z,0,kx);
108: BVMatMult(X,G,Z);
109: BVSetActiveColumns(X,lx,kx);
110: BVSetActiveColumns(Z,lx,kx);
112: /* Create BV object Y */
113: BVCreate(PETSC_COMM_WORLD,&Y);
114: PetscObjectSetName((PetscObject)Y,"Y");
115: BVSetSizesFromVec(Y,t,ky+1);
116: BVSetFromOptions(Y);
117: BVSetActiveColumns(Y,ly,ky);
119: /* Fill Y entries */
120: for (j=0;j<ky+1;j++) {
121: BVGetColumn(Y,j,&v);
122: #if defined(PETSC_USE_COMPLEX)
123: alpha = PetscCMPLX((PetscReal)(j+1)/4.0,-(PetscReal)j);
124: #else
125: alpha = (PetscReal)(j+1)/4.0;
126: #endif
127: VecSet(v,(PetscScalar)(j+1)/4.0);
128: BVRestoreColumn(Y,j,&v);
129: }
130: if (verbose) BVView(Y,view);
132: /* Test BVMatProject for non-symmetric matrix G */
133: MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H0);
134: PetscObjectSetName((PetscObject)H0,"H0");
135: BVMatProject(X,G,Y,H0);
136: if (verbose) MatView(H0,view);
138: /* Test BVMatProject with previously stored G*X */
139: MatCreateSeqDense(PETSC_COMM_SELF,ky,kx,NULL,&H1);
140: PetscObjectSetName((PetscObject)H1,"H1");
141: BVMatProject(Z,NULL,Y,H1);
142: if (verbose) MatView(H1,view);
144: /* Check that H0 and H1 are equal */
145: MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN);
146: MatNorm(H0,NORM_1,&norm);
147: if (norm<10*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n");
148: else PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm);
149: MatDestroy(&H0);
150: MatDestroy(&H1);
152: /* Test BVMatProject for symmetric matrix B with orthogonal projection */
153: MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H0);
154: PetscObjectSetName((PetscObject)H0,"H0");
155: BVMatProject(X,B,X,H0);
156: if (verbose) MatView(H0,view);
158: /* Repeat previous test with symmetry flag set */
159: MatSetOption(B,MAT_HERMITIAN,PETSC_TRUE);
160: MatCreateSeqDense(PETSC_COMM_SELF,kx,kx,NULL,&H1);
161: PetscObjectSetName((PetscObject)H1,"H1");
162: BVMatProject(X,B,X,H1);
163: if (verbose) MatView(H1,view);
165: /* Check that H0 and H1 are equal */
166: MatAXPY(H0,-1.0,H1,SAME_NONZERO_PATTERN);
167: MatNorm(H0,NORM_1,&norm);
168: if (norm<10*PETSC_MACHINE_EPSILON) PetscPrintf(PETSC_COMM_WORLD,"||H0-H1|| < 10*eps\n");
169: else PetscPrintf(PETSC_COMM_WORLD,"||H0-H1||=%g\n",(double)norm);
170: MatDestroy(&H0);
171: MatDestroy(&H1);
173: BVDestroy(&X);
174: BVDestroy(&Y);
175: BVDestroy(&Z);
176: MatDestroy(&B);
177: MatDestroy(&G);
178: VecDestroy(&t);
179: SlepcFinalize();
180: return 0;
181: }
183: /*TEST
185: testset:
186: output_file: output/test9_1.out
187: test:
188: suffix: 1
189: args: -bv_type {{vecs contiguous svec mat}shared output}
190: test:
191: suffix: 1_svec_vecs
192: args: -bv_type svec -bv_matmult vecs
193: test:
194: suffix: 1_cuda
195: args: -bv_type svec -mat_type aijcusparse
196: requires: cuda
197: test:
198: suffix: 2
199: nsize: 2
200: args: -bv_type {{vecs contiguous svec mat}shared output}
201: test:
202: suffix: 2_svec_vecs
203: nsize: 2
204: args: -bv_type svec -bv_matmult vecs
206: TEST*/