1c4762a1bSJed Brown static char help[] = "Test duplication/destruction of FFTW vecs \n\n"; 2c4762a1bSJed Brown 3c4762a1bSJed Brown /* 4c4762a1bSJed Brown Compiling the code: 5c4762a1bSJed Brown This code uses the FFTW interface. 6c4762a1bSJed Brown Use one of the options below to configure: 7c4762a1bSJed Brown --with-fftw-dir=/.... or --download-fftw 8c4762a1bSJed Brown Usage: 9c4762a1bSJed Brown mpiexec -np <np> ./ex228 10c4762a1bSJed Brown */ 11c4762a1bSJed Brown 12c4762a1bSJed Brown #include <petscmat.h> 13c4762a1bSJed Brown int main(int argc,char **args) 14c4762a1bSJed Brown { 15c4762a1bSJed Brown Mat A; /* FFT Matrix */ 16c4762a1bSJed Brown Vec x,y,z; /* Work vectors */ 17c4762a1bSJed Brown Vec x1,y1,z1; /* Duplicate vectors */ 18c4762a1bSJed Brown PetscInt i,k; /* for iterating over dimensions */ 19c4762a1bSJed Brown PetscRandom rdm; /* for creating random input */ 20c4762a1bSJed Brown PetscScalar a; /* used to scale output */ 21c4762a1bSJed Brown PetscReal enorm; /* norm for sanity check */ 22c4762a1bSJed Brown PetscInt n=10,N=1; /* FFT dimension params */ 23c4762a1bSJed Brown PetscInt DIM,dim[5];/* FFT params */ 24c4762a1bSJed Brown 25*9566063dSJacob Faibussowitsch PetscCall(PetscInitialize(&argc,&args,(char*)0,help)); 26*9566063dSJacob Faibussowitsch PetscCall(PetscOptionsGetInt(NULL,NULL,"-n",&n,NULL)); 27c4762a1bSJed Brown 28c4762a1bSJed Brown /* To create random input vector */ 29*9566063dSJacob Faibussowitsch PetscCall(PetscRandomCreate(PETSC_COMM_SELF, &rdm)); 30*9566063dSJacob Faibussowitsch PetscCall(PetscRandomSetFromOptions(rdm)); 31c4762a1bSJed Brown 32c4762a1bSJed Brown /* Iterate over dimensions, use PETSc-FFTW interface */ 33c4762a1bSJed Brown for (i=1; i<5; i++) { 34c4762a1bSJed Brown DIM = i; 35c4762a1bSJed Brown N = 1; 36c4762a1bSJed Brown for (k=0; k<i; k++){dim[k] = n; N*=n;} 37c4762a1bSJed Brown 38*9566063dSJacob Faibussowitsch PetscCall(PetscPrintf(PETSC_COMM_WORLD, "\n %" PetscInt_FMT " dimensions: FFTW on vector of size %" PetscInt_FMT " \n",DIM,N)); 39c4762a1bSJed Brown 40c4762a1bSJed Brown /* create FFTW object */ 41*9566063dSJacob Faibussowitsch PetscCall(MatCreateFFT(PETSC_COMM_SELF,DIM,dim,MATFFTW,&A)); 42c4762a1bSJed Brown /* create vectors of length N */ 43*9566063dSJacob Faibussowitsch PetscCall(MatCreateVecsFFTW(A,&x,&y,&z)); 44c4762a1bSJed Brown 45*9566063dSJacob Faibussowitsch PetscCall(PetscObjectSetName((PetscObject) x, "Real space vector")); 46*9566063dSJacob Faibussowitsch PetscCall(PetscObjectSetName((PetscObject) y, "Frequency space vector")); 47*9566063dSJacob Faibussowitsch PetscCall(PetscObjectSetName((PetscObject) z, "Reconstructed vector")); 48c4762a1bSJed Brown 49c4762a1bSJed Brown /* Test vector duplication*/ 50*9566063dSJacob Faibussowitsch PetscCall(VecDuplicate(x,&x1)); 51*9566063dSJacob Faibussowitsch PetscCall(VecDuplicate(y,&y1)); 52*9566063dSJacob Faibussowitsch PetscCall(VecDuplicate(z,&z1)); 53c4762a1bSJed Brown 54c4762a1bSJed Brown /* Set values of space vector x, copy to duplicate */ 55*9566063dSJacob Faibussowitsch PetscCall(VecSetRandom(x,rdm)); 56*9566063dSJacob Faibussowitsch PetscCall(VecCopy(x,x1)); 57c4762a1bSJed Brown 58c4762a1bSJed Brown /* Apply FFTW_FORWARD and FFTW_BACKWARD */ 59*9566063dSJacob Faibussowitsch PetscCall(MatMult(A,x,y)); 60*9566063dSJacob Faibussowitsch PetscCall(MatMultTranspose(A,y,z)); 61c4762a1bSJed Brown 62c4762a1bSJed Brown /* Apply FFTW_FORWARD and FFTW_BACKWARD for duplicate vecs */ 63*9566063dSJacob Faibussowitsch PetscCall(MatMult(A,x1,y1)); 64*9566063dSJacob Faibussowitsch PetscCall(MatMultTranspose(A,y1,z1)); 65c4762a1bSJed Brown 66c4762a1bSJed Brown /* Compare x and z1. FFTW computes an unnormalized DFT, thus z1 = N*x */ 67c4762a1bSJed Brown a = 1.0/(PetscReal)N; 68*9566063dSJacob Faibussowitsch PetscCall(VecScale(z1,a)); 69*9566063dSJacob Faibussowitsch PetscCall(VecAXPY(z1,-1.0,x)); 70*9566063dSJacob Faibussowitsch PetscCall(VecNorm(z1,NORM_1,&enorm)); 71*9566063dSJacob Faibussowitsch if (enorm > 1.e-9) PetscCall(PetscPrintf(PETSC_COMM_WORLD," Error norm of |x - z1| %g\n",enorm)); 72c4762a1bSJed Brown 73c4762a1bSJed Brown /* free spaces */ 74*9566063dSJacob Faibussowitsch PetscCall(VecDestroy(&x1)); 75*9566063dSJacob Faibussowitsch PetscCall(VecDestroy(&y1)); 76*9566063dSJacob Faibussowitsch PetscCall(VecDestroy(&z1)); 77*9566063dSJacob Faibussowitsch PetscCall(VecDestroy(&x)); 78*9566063dSJacob Faibussowitsch PetscCall(VecDestroy(&y)); 79*9566063dSJacob Faibussowitsch PetscCall(VecDestroy(&z)); 80*9566063dSJacob Faibussowitsch PetscCall(MatDestroy(&A)); 81c4762a1bSJed Brown } 82c4762a1bSJed Brown 83*9566063dSJacob Faibussowitsch PetscCall(PetscRandomDestroy(&rdm)); 84*9566063dSJacob Faibussowitsch PetscCall(PetscFinalize()); 85b122ec5aSJacob Faibussowitsch return 0; 86c4762a1bSJed Brown } 87c4762a1bSJed Brown 88c4762a1bSJed Brown /*TEST 89c4762a1bSJed Brown 90c4762a1bSJed Brown build: 91c4762a1bSJed Brown requires: fftw complex 92c4762a1bSJed Brown 93c4762a1bSJed Brown test: 94c4762a1bSJed Brown suffix: 2 95c4762a1bSJed Brown nsize : 4 96c4762a1bSJed Brown args: -mat_fftw_plannerflags FFTW_ESTIMATE -n 16 97c4762a1bSJed Brown 98c4762a1bSJed Brown test: 99c4762a1bSJed Brown suffix: 3 100c4762a1bSJed Brown nsize : 2 101c4762a1bSJed Brown args: -mat_fftw_plannerflags FFTW_MEASURE -n 12 102c4762a1bSJed Brown 103c4762a1bSJed Brown test: 104c4762a1bSJed Brown suffix: 4 105c4762a1bSJed Brown nsize : 2 106c4762a1bSJed Brown args: -mat_fftw_plannerflags FFTW_PATIENT -n 10 107c4762a1bSJed Brown 108c4762a1bSJed Brown test: 109c4762a1bSJed Brown suffix: 5 110c4762a1bSJed Brown nsize : 1 111c4762a1bSJed Brown args: -mat_fftw_plannerflags FFTW_EXHAUSTIVE -n 5 112c4762a1bSJed Brown 113c4762a1bSJed Brown TEST*/ 114