Actual source code: test1.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 LME interface functions, based on ex32.c.\n\n"
12: "The command line options are:\n"
13: " -n <n>, where <n> = number of grid subdivisions in x dimension.\n"
14: " -m <m>, where <m> = number of grid subdivisions in y dimension.\n\n";
16: #include <slepclme.h>
18: int main(int argc,char **argv)
19: {
20: Mat A,B,C,C1,D;
21: LME lme;
22: PetscReal tol,errest,error;
23: PetscScalar *u;
24: PetscInt N,n=10,m,Istart,Iend,II,maxit,ncv,i,j;
25: PetscBool flg,testprefix=PETSC_FALSE,viewmatrices=PETSC_FALSE;
26: const char *prefix;
27: LMEType type;
28: LMEProblemType ptype;
29: PetscViewerAndFormat *vf;
31: SlepcInitialize(&argc,&argv,(char*)0,help);
33: PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL);
34: PetscOptionsGetInt(NULL,NULL,"-m",&m,&flg);
35: if (!flg) m=n;
36: N = n*m;
37: PetscPrintf(PETSC_COMM_WORLD,"\nLyapunov equation, N=%" PetscInt_FMT " (%" PetscInt_FMT "x%" PetscInt_FMT " grid)\n\n",N,n,m);
38: PetscOptionsGetBool(NULL,NULL,"-test_prefix",&testprefix,NULL);
39: PetscOptionsGetBool(NULL,NULL,"-view_matrices",&viewmatrices,NULL);
41: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
42: Create the 2-D Laplacian, A
43: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
45: MatCreate(PETSC_COMM_WORLD,&A);
46: MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,N,N);
47: MatSetFromOptions(A);
48: MatSetUp(A);
49: MatGetOwnershipRange(A,&Istart,&Iend);
50: for (II=Istart;II<Iend;II++) {
51: i = II/n; j = II-i*n;
52: if (i>0) MatSetValue(A,II,II-n,1.0,INSERT_VALUES);
53: if (i<m-1) MatSetValue(A,II,II+n,1.0,INSERT_VALUES);
54: if (j>0) MatSetValue(A,II,II-1,1.0,INSERT_VALUES);
55: if (j<n-1) MatSetValue(A,II,II+1,1.0,INSERT_VALUES);
56: MatSetValue(A,II,II,-4.0,INSERT_VALUES);
57: }
58: MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY);
59: MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY);
61: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
62: Create a low-rank Mat to store the right-hand side C = C1*C1'
63: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
65: MatCreate(PETSC_COMM_WORLD,&C1);
66: MatSetSizes(C1,PETSC_DECIDE,PETSC_DECIDE,N,2);
67: MatSetType(C1,MATDENSE);
68: MatSetUp(C1);
69: MatGetOwnershipRange(C1,&Istart,&Iend);
70: MatDenseGetArray(C1,&u);
71: for (i=Istart;i<Iend;i++) {
72: if (i<N/2) u[i-Istart] = 1.0;
73: if (i==0) u[i+Iend-2*Istart] = -2.0;
74: if (i==1) u[i+Iend-2*Istart] = -1.0;
75: if (i==2) u[i+Iend-2*Istart] = -1.0;
76: }
77: MatDenseRestoreArray(C1,&u);
78: MatAssemblyBegin(C1,MAT_FINAL_ASSEMBLY);
79: MatAssemblyEnd(C1,MAT_FINAL_ASSEMBLY);
80: MatCreateLRC(NULL,C1,NULL,NULL,&C);
81: MatDestroy(&C1);
83: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
84: Create the solver and set various options
85: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
86: LMECreate(PETSC_COMM_WORLD,&lme);
87: LMESetProblemType(lme,LME_SYLVESTER);
88: LMEGetProblemType(lme,&ptype);
89: PetscPrintf(PETSC_COMM_WORLD," Equation type set to %d\n",ptype);
90: LMESetProblemType(lme,LME_LYAPUNOV);
91: LMEGetProblemType(lme,&ptype);
92: PetscPrintf(PETSC_COMM_WORLD," Equation type changed to %d\n",ptype);
93: LMESetCoefficients(lme,A,NULL,NULL,NULL);
94: LMESetRHS(lme,C);
96: /* test prefix usage */
97: if (testprefix) {
98: LMESetOptionsPrefix(lme,"check_");
99: LMEAppendOptionsPrefix(lme,"myprefix_");
100: LMEGetOptionsPrefix(lme,&prefix);
101: PetscPrintf(PETSC_COMM_WORLD," LME prefix is currently: %s\n",prefix);
102: }
104: /* test some interface functions */
105: LMEGetCoefficients(lme,&B,NULL,NULL,NULL);
106: if (viewmatrices) MatView(B,PETSC_VIEWER_STDOUT_WORLD);
107: LMEGetRHS(lme,&D);
108: if (viewmatrices) MatView(D,PETSC_VIEWER_STDOUT_WORLD);
109: LMESetTolerances(lme,PETSC_DEFAULT,100);
110: LMESetDimensions(lme,21);
111: LMESetErrorIfNotConverged(lme,PETSC_TRUE);
112: /* test monitors */
113: PetscViewerAndFormatCreate(PETSC_VIEWER_STDOUT_WORLD,PETSC_VIEWER_DEFAULT,&vf);
114: LMEMonitorSet(lme,(PetscErrorCode (*)(LME,PetscInt,PetscReal,void*))LMEMonitorDefault,vf,(PetscErrorCode (*)(void**))PetscViewerAndFormatDestroy);
115: /* LMEMonitorCancel(lme); */
116: LMESetFromOptions(lme);
118: LMEGetType(lme,&type);
119: PetscPrintf(PETSC_COMM_WORLD," Solver being used: %s\n",type);
121: /* query properties and print them */
122: LMEGetTolerances(lme,&tol,&maxit);
123: PetscPrintf(PETSC_COMM_WORLD," Tolerance: %g, max iterations: %" PetscInt_FMT "\n",(double)tol,maxit);
124: LMEGetDimensions(lme,&ncv);
125: PetscPrintf(PETSC_COMM_WORLD," Subspace dimension: %" PetscInt_FMT "\n",ncv);
126: LMEGetErrorIfNotConverged(lme,&flg);
127: if (flg) PetscPrintf(PETSC_COMM_WORLD," Erroring out if convergence fails\n");
129: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
130: Solve the matrix equation and compute residual error
131: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
133: LMESolve(lme);
134: LMEGetErrorEstimate(lme,&errest);
135: PetscPrintf(PETSC_COMM_WORLD," Error estimate reported by the solver: %.4g\n",(double)errest);
136: LMEComputeError(lme,&error);
137: PetscPrintf(PETSC_COMM_WORLD," Computed residual norm: %.4g\n\n",(double)error);
139: /*
140: Free work space
141: */
142: LMEDestroy(&lme);
143: MatDestroy(&A);
144: MatDestroy(&C);
145: SlepcFinalize();
146: return 0;
147: }
149: /*TEST
151: test:
152: suffix: 1
153: args: -lme_monitor_cancel -lme_converged_reason -lme_view -view_matrices -log_exclude lme,bv
154: requires: double
155: filter: sed -e "s/4.0[0-9]*e-10/4.03e-10/"
157: test:
158: suffix: 2
159: args: -test_prefix -check_myprefix_lme_monitor
160: requires: double
161: filter: sed -e "s/estimate [0-9]\.[0-9]*e[+-]\([0-9]*\)/estimate (removed)/g" | sed -e "s/4.0[0-9]*e-10/4.03e-10/"
163: test:
164: suffix: 3
165: args: -lme_monitor_cancel -info -lme_monitor draw::draw_lg -draw_virtual
166: requires: double
167: filter: sed -e "s/equation = [0-9]\.[0-9]*e[+-]\([0-9]*\)/equation = (removed)/g" | sed -e "s/4.0[0-9]*e-10/4.03e-10/" | grep -v Comm | grep -v machine | grep -v PetscGetHostName | grep -v OpenMP | grep -v Colormap | grep -v "Rank of the Cholesky factor" | grep -v "potrf failed" | grep -v "querying" | grep -v FPTrap | grep -v Device
169: TEST*/