Actual source code: test3.c
slepc-3.14.0 2020-09-30
1: /*
2: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
3: SLEPc - Scalable Library for Eigenvalue Problem Computations
4: Copyright (c) 2002-2020, 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 SVD with user-provided initial vectors.\n\n"
12: "The command line options are:\n"
13: " -n <n>, where <n> = row dimension.\n"
14: " -m <m>, where <m> = column dimension.\n\n";
16: #include <slepcsvd.h>
18: /*
19: This example computes the singular values of a rectangular nxm Grcar matrix:
21: | 1 1 1 1 |
22: | -1 1 1 1 1 |
23: | -1 1 1 1 1 |
24: A = | . . . . . |
25: | . . . . . |
26: | -1 1 1 1 1 |
27: | -1 1 1 1 |
29: */
31: int main(int argc,char **argv)
32: {
33: Mat A; /* Grcar matrix */
34: SVD svd; /* singular value solver context */
35: Vec v0,w0; /* initial vectors */
36: PetscInt N=35,M=30,Istart,Iend,i,col[5];
37: PetscScalar value[] = { -1, 1, 1, 1, 1 };
40: SlepcInitialize(&argc,&argv,(char*)0,help);if (ierr) return ierr;
41: PetscOptionsGetInt(NULL,NULL,"-n",&N,NULL);
42: PetscOptionsGetInt(NULL,NULL,"-m",&M,NULL);
43: PetscPrintf(PETSC_COMM_WORLD,"\nSVD of a rectangular Grcar matrix, %Dx%D\n\n",N,M);
45: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
46: Generate the matrix
47: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
49: MatCreate(PETSC_COMM_WORLD,&A);
50: MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,M);
51: MatSetFromOptions(A);
52: MatSetUp(A);
54: MatGetOwnershipRange(A,&Istart,&Iend);
55: for (i=Istart;i<Iend;i++) {
56: col[0]=i-1; col[1]=i; col[2]=i+1; col[3]=i+2; col[4]=i+3;
57: if (i==0) {
58: MatSetValues(A,1,&i,PetscMin(4,M-i+1),col+1,value+1,INSERT_VALUES);
59: } else {
60: MatSetValues(A,1,&i,PetscMin(5,M-i+1),col,value,INSERT_VALUES);
61: }
62: }
63: MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
64: MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
66: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
67: Create the SVD context and solve the problem
68: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
70: SVDCreate(PETSC_COMM_WORLD,&svd);
71: SVDSetOperator(svd,A);
72: SVDSetFromOptions(svd);
74: /*
75: Set the initial vectors. This is optional, if not done the initial
76: vectors are set to random values
77: */
78: MatCreateVecs(A,&v0,&w0);
79: VecSet(v0,1.0);
80: VecSet(w0,1.0);
81: SVDSetInitialSpaces(svd,1,&v0,1,&w0);
83: /*
84: Compute solution
85: */
86: SVDSolve(svd);
87: SVDErrorView(svd,SVD_ERROR_RELATIVE,NULL);
89: /*
90: Free work space
91: */
92: VecDestroy(&v0);
93: VecDestroy(&w0);
94: SVDDestroy(&svd);
95: MatDestroy(&A);
96: SlepcFinalize();
97: return ierr;
98: }
100: /*TEST
102: testset:
103: args: -svd_nsv 4
104: output_file: output/test3_1.out
105: test:
106: suffix: 1_lanczos
107: args: -svd_type lanczos
108: test:
109: suffix: 1_lanczos_one
110: args: -svd_type lanczos -svd_lanczos_oneside
111: test:
112: suffix: 1_trlanczos
113: args: -svd_type trlanczos
114: test:
115: suffix: 1_trlanczos_one
116: args: -svd_type trlanczos -svd_trlanczos_oneside
117: test:
118: suffix: 1_trlanczos_one_mgs
119: args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_type mgs
120: test:
121: suffix: 1_trlanczos_one_always
122: args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_refine always
123: test:
124: suffix: 1_cross
125: args: -svd_type cross
126: test:
127: suffix: 1_cross_exp
128: args: -svd_type cross -svd_cross_explicitmatrix
129: test:
130: suffix: 1_cyclic
131: args: -svd_type cyclic
132: test:
133: suffix: 1_cyclic_exp
134: args: -svd_type cyclic -svd_cyclic_explicitmatrix
135: test:
136: suffix: 1_lapack
137: args: -svd_type lapack
138: test:
139: suffix: 1_primme
140: args: -svd_type primme
141: requires: primme
143: testset:
144: args: -svd_implicittranspose -svd_nsv 4 -svd_tol 1e-5
145: output_file: output/test3_1.out
146: test:
147: suffix: 2_lanczos
148: args: -svd_type lanczos
149: test:
150: suffix: 2_lanczos_one
151: args: -svd_type lanczos -svd_lanczos_oneside
152: test:
153: suffix: 2_trlanczos
154: args: -svd_type trlanczos
155: test:
156: suffix: 2_trlanczos_one
157: args: -svd_type trlanczos -svd_trlanczos_oneside
158: test:
159: suffix: 2_trlanczos_one_mgs
160: args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_type mgs
161: test:
162: suffix: 2_trlanczos_one_always
163: args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_refine always
164: test:
165: suffix: 2_cross
166: args: -svd_type cross
167: test:
168: suffix: 2_cross_exp
169: args: -svd_type cross -svd_cross_explicitmatrix
170: requires: !complex
171: test:
172: suffix: 2_cyclic
173: args: -svd_type cyclic
174: test:
175: suffix: 2_lapack
176: args: -svd_type lapack
178: testset:
179: args: -svd_nsv 4 -mat_type aijcusparse
180: requires: cuda
181: output_file: output/test3_1.out
182: test:
183: suffix: 3_cuda_lanczos
184: args: -svd_type lanczos
185: test:
186: suffix: 3_cuda_lanczos_one
187: args: -svd_type lanczos -svd_lanczos_oneside
188: test:
189: suffix: 3_cuda_trlanczos
190: args: -svd_type trlanczos
191: test:
192: suffix: 3_cuda_trlanczos_one
193: args: -svd_type trlanczos -svd_trlanczos_oneside
194: test:
195: suffix: 3_cuda_trlanczos_one_mgs
196: args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_type mgs
197: test:
198: suffix: 3_cuda_trlanczos_one_always
199: args: -svd_type trlanczos -svd_trlanczos_oneside -bv_orthog_refine always
200: test:
201: suffix: 3_cuda_cross
202: args: -svd_type cross
203: test:
204: suffix: 3_cuda_cyclic
205: args: -svd_type cyclic
206: test:
207: suffix: 3_cuda_cyclic_exp
208: args: -svd_type cyclic -svd_cyclic_explicitmatrix
210: test:
211: suffix: 4
212: args: -svd_type lapack -svd_nsv 4
213: output_file: output/test3_1.out
214: nsize: 2
216: test:
217: suffix: 5
218: args: -svd_nsv 4 -svd_view_values draw -svd_monitor_lg
219: requires: x
220: output_file: output/test3_1.out
222: TEST*/