| Line | Branch | Exec | Source |
|---|---|---|---|
| 1 | /* | ||
| 2 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 3 | SLEPc - Scalable Library for Eigenvalue Problem Computations | ||
| 4 | Copyright (c) 2002-, Universitat Politecnica de Valencia, Spain | ||
| 5 | |||
| 6 | This file is part of SLEPc. | ||
| 7 | SLEPc is distributed under a 2-clause BSD license (see LICENSE). | ||
| 8 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 9 | */ | ||
| 10 | |||
| 11 | static char help[] = "Test ST with one matrix.\n\n"; | ||
| 12 | |||
| 13 | #include <slepcst.h> | ||
| 14 | |||
| 15 | 45 | int main(int argc,char **argv) | |
| 16 | { | ||
| 17 | 45 | Mat A,B,mat[1]; | |
| 18 | 45 | ST st; | |
| 19 | 45 | Vec v,w; | |
| 20 | 45 | STType type; | |
| 21 | 45 | PetscScalar sigma,tau,val; | |
| 22 | 45 | PetscInt n=10,i,Istart,Iend; | |
| 23 | 45 | PetscBool test_compl=PETSC_FALSE; | |
| 24 | |||
| 25 |
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45 | PetscFunctionBeginUser; |
| 26 |
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45 | PetscCall(SlepcInitialize(&argc,&argv,NULL,help)); |
| 27 |
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45 | PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); |
| 28 |
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45 | PetscCall(PetscOptionsGetBool(NULL,NULL,"-complex",&test_compl,NULL)); |
| 29 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"\n1-D Laplacian, n=%" PetscInt_FMT "\n\n",n)); |
| 30 | |||
| 31 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 32 | Compute the operator matrix for the 1-D Laplacian | ||
| 33 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 34 | |||
| 35 |
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45 | PetscCall(MatCreate(PETSC_COMM_WORLD,&A)); |
| 36 |
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45 | PetscCall(MatSetSizes(A,PETSC_DECIDE,PETSC_DECIDE,n,n)); |
| 37 |
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45 | PetscCall(MatSetFromOptions(A)); |
| 38 | |||
| 39 |
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45 | PetscCall(MatGetOwnershipRange(A,&Istart,&Iend)); |
| 40 | #if defined(PETSC_USE_COMPLEX) | ||
| 41 |
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30 | val = test_compl? PetscCMPLX(-1.0,0.4): -1.0; |
| 42 | #else | ||
| 43 | 15 | val = -1.0; | |
| 44 | #endif | ||
| 45 |
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495 | for (i=Istart;i<Iend;i++) { |
| 46 |
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450 | if (i>0) PetscCall(MatSetValue(A,i,i-1,val,INSERT_VALUES)); |
| 47 |
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450 | if (i<n-1) PetscCall(MatSetValue(A,i,i+1,PetscConj(val),INSERT_VALUES)); |
| 48 |
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450 | PetscCall(MatSetValue(A,i,i,2.0,INSERT_VALUES)); |
| 49 | } | ||
| 50 |
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45 | PetscCall(MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY)); |
| 51 |
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45 | PetscCall(MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY)); |
| 52 |
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45 | PetscCall(MatCreateVecs(A,&v,&w)); |
| 53 | #if defined(PETSC_USE_COMPLEX) | ||
| 54 |
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30 | val = test_compl? PetscCMPLX(1.0,-0.01): 1.0; |
| 55 | #else | ||
| 56 | 15 | val = 1.0; | |
| 57 | #endif | ||
| 58 |
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45 | PetscCall(VecSet(v,val)); |
| 59 | |||
| 60 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 61 | Create the spectral transformation object | ||
| 62 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 63 | |||
| 64 |
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45 | PetscCall(STCreate(PETSC_COMM_WORLD,&st)); |
| 65 | 45 | mat[0] = A; | |
| 66 |
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45 | PetscCall(STSetMatrices(st,1,mat)); |
| 67 |
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45 | PetscCall(STSetTransform(st,PETSC_TRUE)); |
| 68 |
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45 | PetscCall(STSetFromOptions(st)); |
| 69 | |||
| 70 | /* - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - | ||
| 71 | Apply the transformed operator for several ST's | ||
| 72 | - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - */ | ||
| 73 | |||
| 74 | /* shift, sigma=0.0 */ | ||
| 75 |
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45 | PetscCall(STSetUp(st)); |
| 76 |
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45 | PetscCall(STGetType(st,&type)); |
| 77 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type)); |
| 78 |
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45 | PetscCall(STApply(st,v,w)); |
| 79 |
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45 | PetscCall(VecView(w,NULL)); |
| 80 | |||
| 81 | /* shift, sigma=0.1 */ | ||
| 82 | 45 | sigma = 0.1; | |
| 83 |
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45 | PetscCall(STSetShift(st,sigma)); |
| 84 |
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45 | PetscCall(STGetShift(st,&sigma)); |
| 85 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma))); |
| 86 |
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45 | PetscCall(STApply(st,v,w)); |
| 87 |
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45 | PetscCall(VecView(w,NULL)); |
| 88 |
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45 | PetscCall(STApplyTranspose(st,v,w)); |
| 89 |
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45 | PetscCall(VecView(w,NULL)); |
| 90 |
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45 | if (test_compl) { |
| 91 |
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15 | PetscCall(STApplyHermitianTranspose(st,v,w)); |
| 92 |
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15 | PetscCall(VecView(w,NULL)); |
| 93 | } | ||
| 94 | |||
| 95 | /* sinvert, sigma=0.1 */ | ||
| 96 |
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45 | PetscCall(STPostSolve(st)); /* undo changes if inplace */ |
| 97 |
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45 | PetscCall(STSetType(st,STSINVERT)); |
| 98 |
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45 | PetscCall(STGetType(st,&type)); |
| 99 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type)); |
| 100 |
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45 | PetscCall(STGetShift(st,&sigma)); |
| 101 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma))); |
| 102 |
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45 | PetscCall(STApply(st,v,w)); |
| 103 |
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45 | PetscCall(VecView(w,NULL)); |
| 104 | |||
| 105 | /* sinvert, sigma=-0.5 */ | ||
| 106 | 45 | sigma = -0.5; | |
| 107 |
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45 | PetscCall(STSetShift(st,sigma)); |
| 108 |
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45 | PetscCall(STGetShift(st,&sigma)); |
| 109 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma))); |
| 110 |
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45 | PetscCall(STApply(st,v,w)); |
| 111 |
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45 | PetscCall(VecView(w,NULL)); |
| 112 |
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45 | if (test_compl) { |
| 113 |
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15 | PetscCall(STApplyHermitianTranspose(st,v,w)); |
| 114 |
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15 | PetscCall(VecView(w,NULL)); |
| 115 | } | ||
| 116 | |||
| 117 | /* cayley, sigma=-0.5, tau=-0.5 (equal to sigma by default) */ | ||
| 118 |
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45 | PetscCall(STPostSolve(st)); /* undo changes if inplace */ |
| 119 |
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45 | PetscCall(STSetType(st,STCAYLEY)); |
| 120 |
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45 | PetscCall(STSetUp(st)); |
| 121 |
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45 | PetscCall(STGetType(st,&type)); |
| 122 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type)); |
| 123 |
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45 | PetscCall(STGetShift(st,&sigma)); |
| 124 |
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45 | PetscCall(STCayleyGetAntishift(st,&tau)); |
| 125 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau))); |
| 126 |
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45 | PetscCall(STApply(st,v,w)); |
| 127 |
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45 | PetscCall(VecView(w,NULL)); |
| 128 | |||
| 129 | /* cayley, sigma=1.1, tau=1.1 (still equal to sigma) */ | ||
| 130 | 45 | sigma = 1.1; | |
| 131 |
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45 | PetscCall(STSetShift(st,sigma)); |
| 132 |
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45 | PetscCall(STGetShift(st,&sigma)); |
| 133 |
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45 | PetscCall(STCayleyGetAntishift(st,&tau)); |
| 134 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau))); |
| 135 |
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45 | PetscCall(STApply(st,v,w)); |
| 136 |
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45 | PetscCall(VecView(w,NULL)); |
| 137 | |||
| 138 | /* cayley, sigma=1.1, tau=-1.0 */ | ||
| 139 | 45 | tau = -1.0; | |
| 140 |
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45 | PetscCall(STCayleySetAntishift(st,tau)); |
| 141 |
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45 | PetscCall(STGetShift(st,&sigma)); |
| 142 |
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45 | PetscCall(STCayleyGetAntishift(st,&tau)); |
| 143 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g, antishift=%g\n",(double)PetscRealPart(sigma),(double)PetscRealPart(tau))); |
| 144 |
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45 | PetscCall(STApply(st,v,w)); |
| 145 |
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45 | PetscCall(VecView(w,NULL)); |
| 146 | |||
| 147 | /* check inner product matrix in Cayley */ | ||
| 148 |
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45 | PetscCall(STGetBilinearForm(st,&B)); |
| 149 |
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45 | PetscCall(MatMult(B,v,w)); |
| 150 |
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45 | PetscCall(VecView(w,NULL)); |
| 151 | |||
| 152 | /* check again sinvert, sigma=0.1 */ | ||
| 153 |
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45 | PetscCall(STPostSolve(st)); /* undo changes if inplace */ |
| 154 |
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45 | PetscCall(STSetType(st,STSINVERT)); |
| 155 |
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45 | PetscCall(STGetType(st,&type)); |
| 156 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"ST type %s\n",type)); |
| 157 | 45 | sigma = 0.1; | |
| 158 |
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45 | PetscCall(STSetShift(st,sigma)); |
| 159 |
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45 | PetscCall(STGetShift(st,&sigma)); |
| 160 |
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45 | PetscCall(PetscPrintf(PETSC_COMM_WORLD,"With shift=%g\n",(double)PetscRealPart(sigma))); |
| 161 |
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45 | PetscCall(STApply(st,v,w)); |
| 162 |
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45 | PetscCall(VecView(w,NULL)); |
| 163 | |||
| 164 |
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45 | PetscCall(STDestroy(&st)); |
| 165 |
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45 | PetscCall(MatDestroy(&A)); |
| 166 |
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45 | PetscCall(MatDestroy(&B)); |
| 167 |
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45 | PetscCall(VecDestroy(&v)); |
| 168 |
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45 | PetscCall(VecDestroy(&w)); |
| 169 |
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45 | PetscCall(SlepcFinalize()); |
| 170 | return 0; | ||
| 171 | } | ||
| 172 | |||
| 173 | /*TEST | ||
| 174 | |||
| 175 | test: | ||
| 176 | suffix: 1 | ||
| 177 | args: -st_matmode {{copy inplace shell}} | ||
| 178 | requires: !single | ||
| 179 | |||
| 180 | test: | ||
| 181 | suffix: 2 | ||
| 182 | args: -complex -st_matmode {{copy inplace shell}} | ||
| 183 | requires: complex !single | ||
| 184 | filter: sed -e "s/3.46945e-18 - 8.67362e-18 i/0./" | ||
| 185 | |||
| 186 | TEST*/ | ||
| 187 |