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1/**
2 * @file fft-test.c
3 * FFT and MDCT tests.
4 */
5
6#include "dsputil.h"
7#include <math.h>
8#include <unistd.h>
9#include <sys/time.h>
10
11int mm_flags;
12
13/* reference fft */
14
15#define MUL16(a,b) ((a) * (b))
16
17#define CMAC(pre, pim, are, aim, bre, bim) \
18{\
19 pre += (MUL16(are, bre) - MUL16(aim, bim));\
20 pim += (MUL16(are, bim) + MUL16(bre, aim));\
21}
22
23FFTComplex *exptab;
24
25void fft_ref_init(int nbits, int inverse)
26{
27 int n, i;
28 float c1, s1, alpha;
29
30 n = 1 << nbits;
31 exptab = av_malloc((n / 2) * sizeof(FFTComplex));
32
33 for(i=0;i<(n/2);i++) {
34 alpha = 2 * M_PI * (float)i / (float)n;
35 c1 = cos(alpha);
36 s1 = sin(alpha);
37 if (!inverse)
38 s1 = -s1;
39 exptab[i].re = c1;
40 exptab[i].im = s1;
41 }
42}
43
44void fft_ref(FFTComplex *tabr, FFTComplex *tab, int nbits)
45{
46 int n, i, j, k, n2;
47 float tmp_re, tmp_im, s, c;
48 FFTComplex *q;
49
50 n = 1 << nbits;
51 n2 = n >> 1;
52 for(i=0;i<n;i++) {
53 tmp_re = 0;
54 tmp_im = 0;
55 q = tab;
56 for(j=0;j<n;j++) {
57 k = (i * j) & (n - 1);
58 if (k >= n2) {
59 c = -exptab[k - n2].re;
60 s = -exptab[k - n2].im;
61 } else {
62 c = exptab[k].re;
63 s = exptab[k].im;
64 }
65 CMAC(tmp_re, tmp_im, c, s, q->re, q->im);
66 q++;
67 }
68 tabr[i].re = tmp_re;
69 tabr[i].im = tmp_im;
70 }
71}
72
73void imdct_ref(float *out, float *in, int n)
74{
75 int k, i, a;
76 float sum, f;
77
78 for(i=0;i<n;i++) {
79 sum = 0;
80 for(k=0;k<n/2;k++) {
81 a = (2 * i + 1 + (n / 2)) * (2 * k + 1);
82 f = cos(M_PI * a / (double)(2 * n));
83 sum += f * in[k];
84 }
85 out[i] = -sum;
86 }
87}
88
89/* NOTE: no normalisation by 1 / N is done */
90void mdct_ref(float *output, float *input, int n)
91{
92 int k, i;
93 float a, s;
94
95 /* do it by hand */
96 for(k=0;k<n/2;k++) {
97 s = 0;
98 for(i=0;i<n;i++) {
99 a = (2*M_PI*(2*i+1+n/2)*(2*k+1) / (4 * n));
100 s += input[i] * cos(a);
101 }
102 output[k] = s;
103 }
104}
105
106
107float frandom(void)
108{
109 return (float)((random() & 0xffff) - 32768) / 32768.0;
110}
111
112int64_t gettime(void)
113{
114 struct timeval tv;
115 gettimeofday(&tv,NULL);
116 return (int64_t)tv.tv_sec * 1000000 + tv.tv_usec;
117}
118
119void check_diff(float *tab1, float *tab2, int n)
120{
121 int i;
122
123 for(i=0;i<n;i++) {
124 if (fabsf(tab1[i] - tab2[i]) >= 1e-3) {
125 av_log(NULL, AV_LOG_ERROR, "ERROR %d: %f %f\n",
126 i, tab1[i], tab2[i]);
127 }
128 }
129}
130
131
132void help(void)
133{
134 av_log(NULL, AV_LOG_INFO,"usage: fft-test [-h] [-s] [-i] [-n b]\n"
135 "-h print this help\n"
136 "-s speed test\n"
137 "-m (I)MDCT test\n"
138 "-i inverse transform test\n"
139 "-n b set the transform size to 2^b\n"
140 );
141 exit(1);
142}
143
144
145
146int main(int argc, char **argv)
147{
148 FFTComplex *tab, *tab1, *tab_ref;
149 FFTSample *tabtmp, *tab2;
150 int it, i, c;
151 int do_speed = 0;
152 int do_mdct = 0;
153 int do_inverse = 0;
154 FFTContext s1, *s = &s1;
155 MDCTContext m1, *m = &m1;
156 int fft_nbits, fft_size;
157
158 mm_flags = 0;
159 fft_nbits = 9;
160 for(;;) {
161 c = getopt(argc, argv, "hsimn:");
162 if (c == -1)
163 break;
164 switch(c) {
165 case 'h':
166 help();
167 break;
168 case 's':
169 do_speed = 1;
170 break;
171 case 'i':
172 do_inverse = 1;
173 break;
174 case 'm':
175 do_mdct = 1;
176 break;
177 case 'n':
178 fft_nbits = atoi(optarg);
179 break;
180 }
181 }
182
183 fft_size = 1 << fft_nbits;
184 tab = av_malloc(fft_size * sizeof(FFTComplex));
185 tab1 = av_malloc(fft_size * sizeof(FFTComplex));
186 tab_ref = av_malloc(fft_size * sizeof(FFTComplex));
187 tabtmp = av_malloc(fft_size / 2 * sizeof(FFTSample));
188 tab2 = av_malloc(fft_size * sizeof(FFTSample));
189
190 if (do_mdct) {
191 if (do_inverse)
192 av_log(NULL, AV_LOG_INFO,"IMDCT");
193 else
194 av_log(NULL, AV_LOG_INFO,"MDCT");
195 ff_mdct_init(m, fft_nbits, do_inverse);
196 } else {
197 if (do_inverse)
198 av_log(NULL, AV_LOG_INFO,"IFFT");
199 else
200 av_log(NULL, AV_LOG_INFO,"FFT");
201 ff_fft_init(s, fft_nbits, do_inverse);
202 fft_ref_init(fft_nbits, do_inverse);
203 }
204 av_log(NULL, AV_LOG_INFO," %d test\n", fft_size);
205
206 /* generate random data */
207
208 for(i=0;i<fft_size;i++) {
209 tab1[i].re = frandom();
210 tab1[i].im = frandom();
211 }
212
213 /* checking result */
214 av_log(NULL, AV_LOG_INFO,"Checking...\n");
215
216 if (do_mdct) {
217 if (do_inverse) {
218 imdct_ref((float *)tab_ref, (float *)tab1, fft_size);
219 ff_imdct_calc(m, tab2, (float *)tab1, tabtmp);
220 check_diff((float *)tab_ref, tab2, fft_size);
221 } else {
222 mdct_ref((float *)tab_ref, (float *)tab1, fft_size);
223
224 ff_mdct_calc(m, tab2, (float *)tab1, tabtmp);
225
226 check_diff((float *)tab_ref, tab2, fft_size / 2);
227 }
228 } else {
229 memcpy(tab, tab1, fft_size * sizeof(FFTComplex));
230 ff_fft_permute(s, tab);
231 ff_fft_calc(s, tab);
232
233 fft_ref(tab_ref, tab1, fft_nbits);
234 check_diff((float *)tab_ref, (float *)tab, fft_size * 2);
235 }
236
237 /* do a speed test */
238
239 if (do_speed) {
240 int64_t time_start, duration;
241 int nb_its;
242
243 av_log(NULL, AV_LOG_INFO,"Speed test...\n");
244 /* we measure during about 1 seconds */
245 nb_its = 1;
246 for(;;) {
247 time_start = gettime();
248 for(it=0;it<nb_its;it++) {
249 if (do_mdct) {
250 if (do_inverse) {
251 ff_imdct_calc(m, (float *)tab, (float *)tab1, tabtmp);
252 } else {
253 ff_mdct_calc(m, (float *)tab, (float *)tab1, tabtmp);
254 }
255 } else {
256 memcpy(tab, tab1, fft_size * sizeof(FFTComplex));
257 ff_fft_calc(s, tab);
258 }
259 }
260 duration = gettime() - time_start;
261 if (duration >= 1000000)
262 break;
263 nb_its *= 2;
264 }
265 av_log(NULL, AV_LOG_INFO,"time: %0.1f us/transform [total time=%0.2f s its=%d]\n",
266 (double)duration / nb_its,
267 (double)duration / 1000000.0,
268 nb_its);
269 }
270
271 if (do_mdct) {
272 ff_mdct_end(m);
273 } else {
274 ff_fft_end(s);
275 }
276 return 0;
277}
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