Actual source code: test2.c
slepc-3.21.1 2024-04-26
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 ST with one matrix.\n\n";
13: #include <slepcst.h>
15: int main(int argc,char **argv)
16: {
17: Mat A,B,mat[1];
18: ST st;
19: Vec v,w;
20: STType type;
21: PetscScalar sigma,tau,val;
22: PetscInt n=10,i,Istart,Iend;
23: PetscBool test_compl=PETSC_FALSE;
25: PetscFunctionBeginUser;
26: PetscCall(SlepcInitialize(&argc,&argv,(char*)0,help));
27: PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL));
28: PetscCall(PetscOptionsGetBool(NULL,NULL,"-complex",&test_compl,NULL));
29: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian, n=%" PetscInt_FMT "\n\n",n));
31: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
32: Compute the operator matrix for the 1-D Laplacian
33: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
35: PetscCall(MatCreate(PETSC_COMM_WORLD,&A));
36: PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n));
37: PetscCall(MatSetFromOptions(A));
39: PetscCall(MatGetOwnershipRange(A,&Istart,&Iend));
40: #if defined(PETSC_USE_COMPLEX)
41: val = test_compl? PetscCMPLX(-1.0,0.4): -1.0;
42: #else
43: val = -1.0;
44: #endif
45: for (i=Istart;i<Iend;i++) {
46: if (i>0) PetscCall(MatSetValue(A,i,i-1,val,INSERT_VALUES));
47: if (i<n-1) PetscCall(MatSetValue(A,i,i+1,PetscConj(val),INSERT_VALUES));
48: PetscCall(MatSetValue(A,i,i,2.0,INSERT_VALUES));
49: }
50: PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY));
51: PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY));
52: PetscCall(MatCreateVecs(A,&v,&w));
53: #if defined(PETSC_USE_COMPLEX)
54: val = test_compl? PetscCMPLX(1.0,-0.01): 1.0;
55: #else
56: val = 1.0;
57: #endif
58: PetscCall(VecSet(v,val));
60: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
61: Create the spectral transformation object
62: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
64: PetscCall(STCreate(PETSC_COMM_WORLD,&st));
65: mat[0] = A;
66: PetscCall(STSetMatrices(st,1,mat));
67: PetscCall(STSetTransform(st,PETSC_TRUE));
68: PetscCall(STSetFromOptions(st));
70: /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
71: Apply the transformed operator for several ST's
72: - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */
74: /* shift, sigma=0.0 */
75: PetscCall(STSetUp(st));
76: PetscCall(STGetType(st,&type));
77: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type));
78: PetscCall(STApply(st,v,w));
79: PetscCall(VecView(w,NULL));
81: /* shift, sigma=0.1 */
82: sigma = 0.1;
83: PetscCall(STSetShift(st,sigma));
84: PetscCall(STGetShift(st,&sigma));
85: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma)));
86: PetscCall(STApply(st,v,w));
87: PetscCall(VecView(w,NULL));
88: PetscCall(STApplyTranspose(st,v,w));
89: PetscCall(VecView(w,NULL));
90: if (test_compl) {
91: PetscCall(STApplyHermitianTranspose(st,v,w));
92: PetscCall(VecView(w,NULL));
93: }
95: /* sinvert, sigma=0.1 */
96: PetscCall(STPostSolve(st)); /* undo changes if inplace */
97: PetscCall(STSetType(st,STSINVERT));
98: PetscCall(STGetType(st,&type));
99: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type));
100: PetscCall(STGetShift(st,&sigma));
101: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma)));
102: PetscCall(STApply(st,v,w));
103: PetscCall(VecView(w,NULL));
105: /* sinvert, sigma=-0.5 */
106: sigma = -0.5;
107: PetscCall(STSetShift(st,sigma));
108: PetscCall(STGetShift(st,&sigma));
109: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma)));
110: PetscCall(STApply(st,v,w));
111: PetscCall(VecView(w,NULL));
112: if (test_compl) {
113: PetscCall(STApplyHermitianTranspose(st,v,w));
114: PetscCall(VecView(w,NULL));
115: }
117: /* cayley, sigma=-0.5, tau=-0.5 (equal to sigma by default) */
118: PetscCall(STPostSolve(st)); /* undo changes if inplace */
119: PetscCall(STSetType(st,STCAYLEY));
120: PetscCall(STSetUp(st));
121: PetscCall(STGetType(st,&type));
122: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type));
123: PetscCall(STGetShift(st,&sigma));
124: PetscCall(STCayleyGetAntishift(st,&tau));
125: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau)));
126: PetscCall(STApply(st,v,w));
127: PetscCall(VecView(w,NULL));
129: /* cayley, sigma=1.1, tau=1.1 (still equal to sigma) */
130: sigma = 1.1;
131: PetscCall(STSetShift(st,sigma));
132: PetscCall(STGetShift(st,&sigma));
133: PetscCall(STCayleyGetAntishift(st,&tau));
134: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau)));
135: PetscCall(STApply(st,v,w));
136: PetscCall(VecView(w,NULL));
138: /* cayley, sigma=1.1, tau=-1.0 */
139: tau = -1.0;
140: PetscCall(STCayleySetAntishift(st,tau));
141: PetscCall(STGetShift(st,&sigma));
142: PetscCall(STCayleyGetAntishift(st,&tau));
143: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau)));
144: PetscCall(STApply(st,v,w));
145: PetscCall(VecView(w,NULL));
147: /* check inner product matrix in Cayley */
148: PetscCall(STGetBilinearForm(st,&B));
149: PetscCall(MatMult(B,v,w));
150: PetscCall(VecView(w,NULL));
152: /* check again sinvert, sigma=0.1 */
153: PetscCall(STPostSolve(st)); /* undo changes if inplace */
154: PetscCall(STSetType(st,STSINVERT));
155: PetscCall(STGetType(st,&type));
156: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type));
157: sigma = 0.1;
158: PetscCall(STSetShift(st,sigma));
159: PetscCall(STGetShift(st,&sigma));
160: PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma)));
161: PetscCall(STApply(st,v,w));
162: PetscCall(VecView(w,NULL));
164: PetscCall(STDestroy(&st));
165: PetscCall(MatDestroy(&A));
166: PetscCall(MatDestroy(&B));
167: PetscCall(VecDestroy(&v));
168: PetscCall(VecDestroy(&w));
169: PetscCall(SlepcFinalize());
170: return 0;
171: }
173: /*TEST
175: test:
176: suffix: 1
177: args: -st_matmode {{copy inplace shell}}
178: requires: !single
180: test:
181: suffix: 2
182: args: -complex -st_matmode {{copy inplace shell}}
183: requires: complex !single
185: TEST*/