NFFT  3.4.1
nnfft/simple_test.c
1 /*
2  * Copyright (c) 2002, 2017 Jens Keiner, Stefan Kunis, Daniel Potts
3  *
4  * This program is free software; you can redistribute it and/or modify it under
5  * the terms of the GNU General Public License as published by the Free Software
6  * Foundation; either version 2 of the License, or (at your option) any later
7  * version.
8  *
9  * This program is distributed in the hope that it will be useful, but WITHOUT
10  * ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
11  * FOR A PARTICULAR PURPOSE. See the GNU General Public License for more
12  * details.
13  *
14  * You should have received a copy of the GNU General Public License along with
15  * this program; if not, write to the Free Software Foundation, Inc., 51
16  * Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
17  */
18 
19 #include <stdlib.h>
20 #include <math.h>
21 #include <complex.h>
22 
23 #include "nfft3.h"
24 
26 #define CSWAP(x,y) {double _Complex * NFFT_SWAP_temp__; \
27  NFFT_SWAP_temp__=(x); (x)=(y); (y)=NFFT_SWAP_temp__;}
28 
29 void simple_test_nnfft_1d(void)
30 {
31  int j,k;
32  nnfft_plan my_plan;
34  int N[1];
35  N[0]=10;
36 
38  nnfft_init(&my_plan, 1, 3, 19, N);
39 
41  for(j=0;j<my_plan.M_total;j++)
42  {
43  my_plan.x[j]=((double)rand())/((double)RAND_MAX)-0.5;
44  }
46  for(j=0;j<my_plan.N_total;j++)
47  {
48  my_plan.v[j]=((double)rand())/((double)RAND_MAX)-0.5;
49  }
50 
52 /* if(my_plan.nnfft_flags & PRE_PSI)
53  nnfft_precompute_psi(&my_plan);
54 
55  if(my_plan.nnfft_flags & PRE_FULL_PSI)
56  nnfft_precompute_full_psi(&my_plan);
57  if(my_plan.nnfft_flags & PRE_LIN_PSI)
58  nnfft_precompute_lin_psi(&my_plan);
60 /* if(my_plan.nnfft_flags & PRE_PHI_HUT)
61  nnfft_precompute_phi_hut(&my_plan);
62 */
63 
64 nnfft_precompute_one_psi(&my_plan);
65 
66 
68  for(k=0;k<my_plan.N_total;k++)
69  my_plan.f_hat[k] = ((double)rand())/((double)RAND_MAX) + _Complex_I*((double)rand())/((double)RAND_MAX);
70 
71  nfft_vpr_complex(my_plan.f_hat,my_plan.N_total,"given Fourier coefficients, vector f_hat");
72 
74  nnfft_trafo_direct(&my_plan);
75  nfft_vpr_complex(my_plan.f,my_plan.M_total,"nndft, vector f");
76 
78  nnfft_trafo(&my_plan);
79  nfft_vpr_complex(my_plan.f,my_plan.M_total,"nnfft, vector f");
80 
82  nnfft_finalize(&my_plan);
83 }
84 
85 static void simple_test_adjoint_nnfft_1d(void)
86 {
87  int j;
88  nnfft_plan my_plan;
90  int N[1];
91  N[0]=12;
92 
94  nnfft_init(&my_plan, 1, 20, 33, N);
95 
97  for(j=0;j<my_plan.M_total;j++)
98  {
99  my_plan.x[j]=((double)rand())/((double)RAND_MAX)-0.5;
100  }
102  for(j=0;j<my_plan.N_total;j++)
103  {
104  my_plan.v[j]=((double)rand())/((double)RAND_MAX)-0.5;
105  }
106 
108  if(my_plan.nnfft_flags & PRE_PSI)
109  nnfft_precompute_psi(&my_plan);
110 
111  if(my_plan.nnfft_flags & PRE_FULL_PSI)
112  nnfft_precompute_full_psi(&my_plan);
113 
114  if(my_plan.nnfft_flags & PRE_LIN_PSI)
115  nnfft_precompute_lin_psi(&my_plan);
116 
118  if(my_plan.nnfft_flags & PRE_PHI_HUT)
119  nnfft_precompute_phi_hut(&my_plan);
120 
122  for(j=0;j<my_plan.M_total;j++)
123  my_plan.f[j] = ((double)rand())/((double)RAND_MAX) + _Complex_I*((double)rand())/((double)RAND_MAX);
124 
125  nfft_vpr_complex(my_plan.f,my_plan.M_total,"given Samples, vector f");
126 
128  nnfft_adjoint_direct(&my_plan);
129  nfft_vpr_complex(my_plan.f_hat,my_plan.N_total,"adjoint nndft, vector f_hat");
130 
132  nnfft_adjoint(&my_plan);
133  nfft_vpr_complex(my_plan.f_hat,my_plan.N_total,"adjoint nnfft, vector f_hat");
134 
136  nnfft_finalize(&my_plan);
137 }
138 
139 static void simple_test_nnfft_2d(void)
140 {
141  int j,k;
142  nnfft_plan my_plan;
144  int N[2];
145  N[0]=12;
146  N[1]=14;
147 
149  nnfft_init(&my_plan, 2,12*14,19, N);
150 
152  for(j=0;j<my_plan.M_total;j++)
153  {
154  my_plan.x[2*j]=((double)rand())/((double)RAND_MAX)-0.5;
155  my_plan.x[2*j+1]=((double)rand())/((double)RAND_MAX)-0.5;
156  }
157 
159  for(j=0;j<my_plan.N_total;j++)
160  {
161  my_plan.v[2*j]=((double)rand())/((double)RAND_MAX)-0.5;
162  my_plan.v[2*j+1]=((double)rand())/((double)RAND_MAX)-0.5;
163  }
164 
166  if(my_plan.nnfft_flags & PRE_PSI)
167  nnfft_precompute_psi(&my_plan);
168 
169  if(my_plan.nnfft_flags & PRE_FULL_PSI)
170  nnfft_precompute_full_psi(&my_plan);
171 
172  if(my_plan.nnfft_flags & PRE_LIN_PSI)
173  nnfft_precompute_lin_psi(&my_plan);
174 
176  if(my_plan.nnfft_flags & PRE_PHI_HUT)
177  nnfft_precompute_phi_hut(&my_plan);
178 
180  for(k=0;k<my_plan.N_total;k++)
181  my_plan.f_hat[k] = ((double)rand())/((double)RAND_MAX) + _Complex_I*((double)rand())/((double)RAND_MAX);
182 
183  nfft_vpr_complex(my_plan.f_hat,12,
184  "given Fourier coefficients, vector f_hat (first 12 entries)");
185 
187  nnfft_trafo_direct(&my_plan);
188  nfft_vpr_complex(my_plan.f,my_plan.M_total,"ndft, vector f");
189 
191  nnfft_trafo(&my_plan);
192  nfft_vpr_complex(my_plan.f,my_plan.M_total,"nfft, vector f");
193 
195  nnfft_finalize(&my_plan);
196 }
197 
198 static void simple_test_innfft_1d(void)
199 {
200  int j,k,l,N=8;
201  nnfft_plan my_plan;
202  solver_plan_complex my_iplan;
205  nnfft_init(&my_plan,1 ,8 ,8 ,&N);
206 
208  solver_init_advanced_complex(&my_iplan,(nfft_mv_plan_complex*)(&my_plan),CGNR);
209 
211  for(j=0;j<my_plan.M_total;j++)
212  my_plan.x[j]=((double)rand())/((double)RAND_MAX)-0.5;
213 
215  for(k=0;k<my_plan.N_total;k++)
216  my_plan.v[k]=((double)rand())/((double)RAND_MAX)-0.5;
217 
219  if(my_plan.nnfft_flags & PRE_PSI)
220  nnfft_precompute_psi(&my_plan);
221 
222  if(my_plan.nnfft_flags & PRE_FULL_PSI)
223  nnfft_precompute_full_psi(&my_plan);
224 
226  if(my_plan.nnfft_flags & PRE_PHI_HUT)
227  nnfft_precompute_phi_hut(&my_plan);
228 
230  for(j=0;j<my_plan.M_total;j++)
231  my_iplan.y[j] = ((double)rand())/((double)RAND_MAX);
232 
233  nfft_vpr_complex(my_iplan.y,my_plan.M_total,"given data, vector given_f");
234 
236  for(k=0;k<my_plan.N_total;k++)
237  my_iplan.f_hat_iter[k] = 0.0;
238 
239  nfft_vpr_complex(my_iplan.f_hat_iter,my_plan.N_total,
240  "approximate solution, vector f_hat_iter");
241 
243  solver_before_loop_complex(&my_iplan);
244 
245  for(l=0;l<8;l++)
246  {
247  printf("iteration l=%d\n",l);
248  solver_loop_one_step_complex(&my_iplan);
249  nfft_vpr_complex(my_iplan.f_hat_iter,my_plan.N_total,
250  "approximate solution, vector f_hat_iter");
251 
252  CSWAP(my_iplan.f_hat_iter,my_plan.f_hat);
253  nnfft_trafo(&my_plan);
254  nfft_vpr_complex(my_plan.f,my_plan.M_total,"fitting the data, vector f");
255  CSWAP(my_iplan.f_hat_iter,my_plan.f_hat);
256  }
257 
258  solver_finalize_complex(&my_iplan);
259  nnfft_finalize(&my_plan);
260 }
261 
262 static void measure_time_nnfft_1d(void)
263 {
264  int j,k;
265  nnfft_plan my_plan;
266  int my_N,N=4;
267  double t;
268  double t0, t1;
269 
270  for(my_N=16; my_N<=16384; my_N*=2)
271  {
272  nnfft_init(&my_plan,1,my_N,my_N,&N);
273 
274  for(j=0;j<my_plan.M_total;j++)
275  my_plan.x[j]=((double)rand())/((double)RAND_MAX)-0.5;
276 
277  for(j=0;j<my_plan.N_total;j++)
278  my_plan.v[j]=((double)rand())/((double)RAND_MAX)-0.5;
279 
280  if(my_plan.nnfft_flags & PRE_PSI)
281  nnfft_precompute_psi(&my_plan);
282 
283  if(my_plan.nnfft_flags & PRE_FULL_PSI)
284  nnfft_precompute_full_psi(&my_plan);
285 
286  if(my_plan.nnfft_flags & PRE_PHI_HUT)
287  nnfft_precompute_phi_hut(&my_plan);
288 
289  for(k=0;k<my_plan.N_total;k++)
290  my_plan.f_hat[k] = ((double)rand())/((double)RAND_MAX) + _Complex_I*((double)rand())/((double)RAND_MAX);
291 
292  t0 = nfft_clock_gettime_seconds();
293  nnfft_trafo_direct(&my_plan);
294  t1 = nfft_clock_gettime_seconds();
295  t = t1 - t0;
296  printf("t_nndft=%e,\t",t);
297 
298  t0 = nfft_clock_gettime_seconds();
299  nnfft_trafo(&my_plan);
300  t1 = nfft_clock_gettime_seconds();
301  t = t1 - t0;
302  printf("t_nnfft=%e\t",t);
303 
304  printf("(N=M=%d)\n",my_N);
305 
306  nnfft_finalize(&my_plan);
307  }
308 }
309 
310 int main(void)
311 {
312  system("clear");
313  printf("1) computing a one dimensional nndft, nnfft\n\n");
314  simple_test_nnfft_1d();
315 
316  /*getc(stdin);
317 
318  system("clear");
319  printf("1a) computing a one dimensional adjoint nndft, nnfft\n\n");
320  simple_test_adjoint_nnfft_1d();
321 
322  getc(stdin);
323 
324  system("clear");
325  printf("2) computing a two dimensional nndft, nnfft\n\n");
326  simple_test_nnfft_2d();
327 
328  getc(stdin);
329 
330  system("clear");
331  printf("3) computing a one dimensional innfft\n\n");
332  simple_test_innfft_1d();
333 
334  getc(stdin);
335 
336  system("clear");
337  printf("4) computing times for one dimensional nnfft\n\n");
338  measure_time_nnfft_1d();
339 */
340  return 1;
341 }
void nnfft_precompute_psi(nnfft_plan *ths_plan)
Definition: nnfft.c:385
fftw_complex * f_hat
Fourier coefficients.
Definition: nfft3.h:424
unsigned nnfft_flags
flags for precomputation, malloc
Definition: nfft3.h:424
fftw_complex * f
Samples.
Definition: nfft3.h:424
void nnfft_init(nnfft_plan *ths_plan, int d, int N_total, int M_total, int *N)
Definition: nnfft.c:612
void nnfft_adjoint(nnfft_plan *ths_plan)
Definition: nnfft.c:319
double * v
nodes (in fourier domain)
Definition: nfft3.h:424
void nnfft_trafo(nnfft_plan *ths_plan)
user routines
Definition: nnfft.c:291
void nnfft_precompute_phi_hut(nnfft_plan *ths_plan)
initialisation of direct transform
Definition: nnfft.c:347
void nnfft_precompute_full_psi(nnfft_plan *ths_plan)
computes all entries of B explicitly
Definition: nnfft.c:424
void nnfft_precompute_lin_psi(nnfft_plan *ths_plan)
create a lookup table
Definition: nnfft.c:367
void nfft_vpr_complex(fftw_complex *x, const NFFT_INT n, const char *text)
Print complex vector to standard output.
NFFT_INT M_total
Total number of samples.
Definition: nfft3.h:424
data structure for an NNFFT (nonequispaced in time and frequency fast Fourier transform) plan with do...
Definition: nfft3.h:424
double * x
nodes (in time/spatial domain)
Definition: nfft3.h:424
#define PRE_LIN_PSI
Definition: nfft3.h:195
#define PRE_PSI
Definition: nfft3.h:197
#define CGNR
Definition: nfft3.h:788
fftw_complex * y
right hand side, samples
Definition: nfft3.h:785
NFFT_INT N_total
Total number of Fourier coefficients.
Definition: nfft3.h:424
#define PRE_FULL_PSI
Definition: nfft3.h:198
Header file for the nfft3 library.
#define PRE_PHI_HUT
Definition: nfft3.h:193
data structure for an inverse NFFT plan with double precision
Definition: nfft3.h:785
void nnfft_finalize(nnfft_plan *ths_plan)
Definition: nnfft.c:655
#define CSWAP(x, y)
Swap two vectors.
Definition: infft.h:139
fftw_complex * f_hat_iter
iterative solution
Definition: nfft3.h:785