Actual source code: ex144.c
petsc-3.6.1 2015-08-06
1: /* This program illustrates use of parallel real FFT */
2: static char help[]="This program illustrates the use of parallel real 2D fft using fftw without PETSc interface";
3: #include <petscmat.h>
4: #include <fftw3.h>
5: #include <fftw3-mpi.h>
9: int main(int argc,char **args)
10: {
11: const ptrdiff_t N0=2056,N1=2056;
12: fftw_plan bplan,fplan;
13: fftw_complex *out;
14: double *in1,*in2;
15: ptrdiff_t alloc_local,local_n0,local_0_start;
16: ptrdiff_t local_n1,local_1_start;
17: PetscInt i,j;
18: PetscMPIInt size,rank;
19: int n,N,N_factor,NM;
20: PetscScalar one=2.0,zero=0.5;
21: PetscScalar two=4.0,three=8.0,four=16.0;
22: PetscScalar a,*x_arr,*y_arr,*z_arr,enorm;
23: Vec fin,fout,fout1;
24: Vec ini,final;
25: PetscRandom rnd;
26: PetscErrorCode ierr;
27: PetscInt *indx3,tempindx,low,*indx4,tempindx1;
29: PetscInitialize(&argc,&args,(char*)0,help);
30: MPI_Comm_size(PETSC_COMM_WORLD, &size);
31: MPI_Comm_rank(PETSC_COMM_WORLD, &rank);
33: PetscRandomCreate(PETSC_COMM_WORLD,&rnd);
35: alloc_local = fftw_mpi_local_size_2d_transposed(N0,N1/2+1,PETSC_COMM_WORLD,&local_n0,&local_0_start,&local_n1,&local_1_start);
36: #if defined(DEBUGGING)
37: printf("The value alloc_local is %ld from process %d\n",alloc_local,rank);
38: printf("The value local_n0 is %ld from process %d\n",local_n0,rank);
39: printf("The value local_0_start is %ld from process %d\n",local_0_start,rank);
40: /* printf("The value local_n1 is %ld from process %d\n",local_n1,rank); */
41: /* printf("The value local_1_start is %ld from process %d\n",local_1_start,rank); */
42: /* printf("The value local_n0 is %ld from process %d\n",local_n0,rank); */
43: #endif
45: /* Allocate space for input and output arrays */
46: in1=(double*)fftw_malloc(sizeof(double)*alloc_local*2);
47: in2=(double*)fftw_malloc(sizeof(double)*alloc_local*2);
48: out=(fftw_complex*)fftw_malloc(sizeof(fftw_complex)*alloc_local);
50: N = 2*N0*(N1/2+1);
51: N_factor = N0*N1;
52: n = 2*local_n0*(N1/2+1);
54: /* printf("The value N is %d from process %d\n",N,rank); */
55: /* printf("The value n is %d from process %d\n",n,rank); */
56: /* printf("The value n1 is %d from process %d\n",n1,rank);*/
57: /* Creating data vector and accompanying array with VeccreateMPIWithArray */
58: VecCreateMPIWithArray(PETSC_COMM_WORLD,1,n,N,(PetscScalar*)in1,&fin);
59: VecCreateMPIWithArray(PETSC_COMM_WORLD,1,n,N,(PetscScalar*)out,&fout);
60: VecCreateMPIWithArray(PETSC_COMM_WORLD,1,n,N,(PetscScalar*)in2,&fout1);
62: /* Set the vector with random data */
63: VecSet(fin,zero);
64: /* for (i=0;i<N0*N1;i++) */
65: /* { */
66: /* VecSetValues(fin,1,&i,&one,INSERT_VALUES); */
67: /* } */
69: /* VecSet(fin,one); */
70: i =0;
71: VecSetValues(fin,1,&i,&one,INSERT_VALUES);
72: i =1;
73: VecSetValues(fin,1,&i,&two,INSERT_VALUES);
74: i =4;
75: VecSetValues(fin,1,&i,&three,INSERT_VALUES);
76: i =5;
77: VecSetValues(fin,1,&i,&four,INSERT_VALUES);
78: VecAssemblyBegin(fin);
79: VecAssemblyEnd(fin);
81: VecSet(fout,zero);
82: VecSet(fout1,zero);
84: /* Get the meaningful portion of array */
85: VecGetArray(fin,&x_arr);
86: VecGetArray(fout1,&z_arr);
87: VecGetArray(fout,&y_arr);
89: fplan=fftw_mpi_plan_dft_r2c_2d(N0,N1,(double*)x_arr,(fftw_complex*)y_arr,PETSC_COMM_WORLD,FFTW_ESTIMATE);
90: bplan=fftw_mpi_plan_dft_c2r_2d(N0,N1,(fftw_complex*)y_arr,(double*)z_arr,PETSC_COMM_WORLD,FFTW_ESTIMATE);
92: fftw_execute(fplan);
93: fftw_execute(bplan);
95: VecRestoreArray(fin,&x_arr);
96: VecRestoreArray(fout1,&z_arr);
97: VecRestoreArray(fout,&y_arr);
99: /* VecView(fin,PETSC_VIEWER_STDOUT_WORLD); */
100: VecCreate(PETSC_COMM_WORLD,&ini);
101: VecCreate(PETSC_COMM_WORLD,&final);
102: VecSetSizes(ini,local_n0*N1,N0*N1);
103: VecSetSizes(final,local_n0*N1,N0*N1);
104: VecSetFromOptions(ini);
105: VecSetFromOptions(final);
107: if (N1%2==0) {
108: NM = N1+2;
109: } else {
110: NM = N1+1;
111: }
112: /*printf("The Value of NM is %d",NM); */
113: VecGetOwnershipRange(fin,&low,NULL);
114: /*printf("The local index is %d from %d\n",low,rank); */
115: PetscMalloc1(local_n0*N1,&indx3);
116: PetscMalloc1(local_n0*N1,&indx4);
117: for (i=0;i<local_n0;i++) {
118: for (j=0;j<N1;j++) {
119: tempindx = i*N1 + j;
120: tempindx1 = i*NM + j;
122: indx3[tempindx]=local_0_start*N1+tempindx;
123: indx4[tempindx]=low+tempindx1;
124: /* printf("index3 %d from proc %d is \n",indx3[tempindx],rank); */
125: /* printf("index4 %d from proc %d is \n",indx4[tempindx],rank); */
126: }
127: }
129: PetscMalloc2(local_n0*N1,&x_arr,local_n0*N1,&y_arr); /* arr must be allocated for VecGetValues() */
130: VecGetValues(fin,local_n0*N1,indx4,(PetscScalar*)x_arr);
131: VecSetValues(ini,local_n0*N1,indx3,x_arr,INSERT_VALUES);
133: VecAssemblyBegin(ini);
134: VecAssemblyEnd(ini);
136: VecGetValues(fout1,local_n0*N1,indx4,y_arr);
137: VecSetValues(final,local_n0*N1,indx3,y_arr,INSERT_VALUES);
138: VecAssemblyBegin(final);
139: VecAssemblyEnd(final);
140: PetscFree2(x_arr,y_arr);
142: /*
143: VecScatter vecscat;
144: IS indx1,indx2;
145: for (i=0;i<N0;i++) {
146: indx = i*NM;
147: ISCreateStride(PETSC_COMM_WORLD,N1,indx,1,&indx1);
148: indx = i*N1;
149: ISCreateStride(PETSC_COMM_WORLD,N1,indx,1,&indx2);
150: VecScatterCreate(fin,indx1,ini,indx2,&vecscat);
151: VecScatterBegin(vecscat,fin,ini,INSERT_VALUES,SCATTER_FORWARD);
152: VecScatterEnd(vecscat,fin,ini,INSERT_VALUES,SCATTER_FORWARD);
153: VecScatterBegin(vecscat,fout1,final,INSERT_VALUES,SCATTER_FORWARD);
154: VecScatterEnd(vecscat,fout1,final,INSERT_VALUES,SCATTER_FORWARD);
155: }
156: */
158: a = 1.0/(PetscReal)N_factor;
159: VecScale(fout1,a);
160: VecScale(final,a);
163: /* VecView(ini,PETSC_VIEWER_STDOUT_WORLD); */
164: /* VecView(final,PETSC_VIEWER_STDOUT_WORLD); */
165: VecAXPY(final,-1.0,ini);
167: VecNorm(final,NORM_1,&enorm);
168: if (enorm > 1.e-10) {
169: PetscPrintf(PETSC_COMM_WORLD," Error norm of |x - z| = %e\n",enorm);
170: }
172: /* Execute fftw with function fftw_execute and destory it after execution */
173: fftw_destroy_plan(fplan);
174: fftw_destroy_plan(bplan);
175: fftw_free(in1); VecDestroy(&fin);
176: fftw_free(out); VecDestroy(&fout);
177: fftw_free(in2); VecDestroy(&fout1);
179: VecDestroy(&ini);
180: VecDestroy(&final);
182: PetscRandomDestroy(&rnd);
183: PetscFree(indx3);
184: PetscFree(indx4);
185: PetscFinalize();
186: return 0;
187: }