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1 | /* |
2 | * FFT/IFFT transforms | |
3 | * Copyright (c) 2002 Fabrice Bellard. | |
4 | * | |
5 | * This library is free software; you can redistribute it and/or | |
6 | * modify it under the terms of the GNU Lesser General Public | |
7 | * License as published by the Free Software Foundation; either | |
8 | * version 2 of the License, or (at your option) any later version. | |
9 | * | |
10 | * This library is distributed in the hope that it will be useful, | |
11 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | |
12 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
13 | * Lesser General Public License for more details. | |
14 | * | |
15 | * You should have received a copy of the GNU Lesser General Public | |
16 | * License along with this library; if not, write to the Free Software | |
17 | * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA | |
18 | */ | |
19 | #include "dsputil.h" | |
20 | ||
21 | /** | |
22 | * The size of the FFT is 2^nbits. If inverse is TRUE, inverse FFT is | |
23 | * done | |
24 | */ | |
25 | int fft_init(FFTContext *s, int nbits, int inverse) | |
26 | { | |
27 | int i, j, m, n; | |
28 | float alpha, c1, s1, s2; | |
29 | ||
30 | s->nbits = nbits; | |
31 | n = 1 << nbits; | |
32 | ||
33 | s->exptab = av_malloc((n / 2) * sizeof(FFTComplex)); | |
34 | if (!s->exptab) | |
35 | goto fail; | |
36 | s->revtab = av_malloc(n * sizeof(uint16_t)); | |
37 | if (!s->revtab) | |
38 | goto fail; | |
39 | s->inverse = inverse; | |
40 | ||
41 | s2 = inverse ? 1.0 : -1.0; | |
42 | ||
43 | for(i=0;i<(n/2);i++) { | |
44 | alpha = 2 * M_PI * (float)i / (float)n; | |
45 | c1 = cos(alpha); | |
46 | s1 = sin(alpha) * s2; | |
47 | s->exptab[i].re = c1; | |
48 | s->exptab[i].im = s1; | |
49 | } | |
50 | s->fft_calc = fft_calc_c; | |
51 | s->exptab1 = NULL; | |
52 | ||
53 | /* compute constant table for HAVE_SSE version */ | |
bbbb6d6f FB |
54 | #if defined(HAVE_MMX) && defined(HAVE_BUILTIN_VECTOR) |
55 | if (mm_support() & MM_SSE) { | |
bb6f5690 FB |
56 | int np, nblocks, np2, l; |
57 | FFTComplex *q; | |
bbbb6d6f | 58 | |
bb6f5690 FB |
59 | np = 1 << nbits; |
60 | nblocks = np >> 3; | |
61 | np2 = np >> 1; | |
62 | s->exptab1 = av_malloc(np * 2 * sizeof(FFTComplex)); | |
63 | if (!s->exptab1) | |
64 | goto fail; | |
65 | q = s->exptab1; | |
66 | do { | |
67 | for(l = 0; l < np2; l += 2 * nblocks) { | |
68 | *q++ = s->exptab[l]; | |
69 | *q++ = s->exptab[l + nblocks]; | |
70 | ||
71 | q->re = -s->exptab[l].im; | |
72 | q->im = s->exptab[l].re; | |
73 | q++; | |
74 | q->re = -s->exptab[l + nblocks].im; | |
75 | q->im = s->exptab[l + nblocks].re; | |
76 | q++; | |
77 | } | |
78 | nblocks = nblocks >> 1; | |
79 | } while (nblocks != 0); | |
80 | av_freep(&s->exptab); | |
bbbb6d6f | 81 | s->fft_calc = fft_calc_sse; |
bb6f5690 FB |
82 | } |
83 | #endif | |
84 | ||
85 | /* compute bit reverse table */ | |
86 | ||
87 | for(i=0;i<n;i++) { | |
88 | m=0; | |
89 | for(j=0;j<nbits;j++) { | |
90 | m |= ((i >> j) & 1) << (nbits-j-1); | |
91 | } | |
92 | s->revtab[i]=m; | |
93 | } | |
94 | return 0; | |
95 | fail: | |
96 | av_freep(&s->revtab); | |
97 | av_freep(&s->exptab); | |
98 | av_freep(&s->exptab1); | |
99 | return -1; | |
100 | } | |
101 | ||
102 | /* butter fly op */ | |
103 | #define BF(pre, pim, qre, qim, pre1, pim1, qre1, qim1) \ | |
104 | {\ | |
105 | FFTSample ax, ay, bx, by;\ | |
106 | bx=pre1;\ | |
107 | by=pim1;\ | |
108 | ax=qre1;\ | |
109 | ay=qim1;\ | |
110 | pre = (bx + ax);\ | |
111 | pim = (by + ay);\ | |
112 | qre = (bx - ax);\ | |
113 | qim = (by - ay);\ | |
114 | } | |
115 | ||
116 | #define MUL16(a,b) ((a) * (b)) | |
117 | ||
118 | #define CMUL(pre, pim, are, aim, bre, bim) \ | |
119 | {\ | |
120 | pre = (MUL16(are, bre) - MUL16(aim, bim));\ | |
121 | pim = (MUL16(are, bim) + MUL16(bre, aim));\ | |
122 | } | |
123 | ||
124 | /** | |
125 | * Do a complex FFT with the parameters defined in fft_init(). The | |
126 | * input data must be permuted before with s->revtab table. No | |
127 | * 1.0/sqrt(n) normalization is done. | |
128 | */ | |
129 | void fft_calc_c(FFTContext *s, FFTComplex *z) | |
130 | { | |
131 | int ln = s->nbits; | |
132 | int j, np, np2; | |
133 | int nblocks, nloops; | |
134 | register FFTComplex *p, *q; | |
135 | FFTComplex *exptab = s->exptab; | |
136 | int l; | |
137 | FFTSample tmp_re, tmp_im; | |
138 | ||
139 | np = 1 << ln; | |
140 | ||
141 | /* pass 0 */ | |
142 | ||
143 | p=&z[0]; | |
144 | j=(np >> 1); | |
145 | do { | |
146 | BF(p[0].re, p[0].im, p[1].re, p[1].im, | |
147 | p[0].re, p[0].im, p[1].re, p[1].im); | |
148 | p+=2; | |
149 | } while (--j != 0); | |
150 | ||
151 | /* pass 1 */ | |
152 | ||
153 | ||
154 | p=&z[0]; | |
155 | j=np >> 2; | |
156 | if (s->inverse) { | |
157 | do { | |
158 | BF(p[0].re, p[0].im, p[2].re, p[2].im, | |
159 | p[0].re, p[0].im, p[2].re, p[2].im); | |
160 | BF(p[1].re, p[1].im, p[3].re, p[3].im, | |
161 | p[1].re, p[1].im, -p[3].im, p[3].re); | |
162 | p+=4; | |
163 | } while (--j != 0); | |
164 | } else { | |
165 | do { | |
166 | BF(p[0].re, p[0].im, p[2].re, p[2].im, | |
167 | p[0].re, p[0].im, p[2].re, p[2].im); | |
168 | BF(p[1].re, p[1].im, p[3].re, p[3].im, | |
169 | p[1].re, p[1].im, p[3].im, -p[3].re); | |
170 | p+=4; | |
171 | } while (--j != 0); | |
172 | } | |
173 | /* pass 2 .. ln-1 */ | |
174 | ||
175 | nblocks = np >> 3; | |
176 | nloops = 1 << 2; | |
177 | np2 = np >> 1; | |
178 | do { | |
179 | p = z; | |
180 | q = z + nloops; | |
181 | for (j = 0; j < nblocks; ++j) { | |
182 | BF(p->re, p->im, q->re, q->im, | |
183 | p->re, p->im, q->re, q->im); | |
184 | ||
185 | p++; | |
186 | q++; | |
187 | for(l = nblocks; l < np2; l += nblocks) { | |
188 | CMUL(tmp_re, tmp_im, exptab[l].re, exptab[l].im, q->re, q->im); | |
189 | BF(p->re, p->im, q->re, q->im, | |
190 | p->re, p->im, tmp_re, tmp_im); | |
191 | p++; | |
192 | q++; | |
193 | } | |
194 | ||
195 | p += nloops; | |
196 | q += nloops; | |
197 | } | |
198 | nblocks = nblocks >> 1; | |
199 | nloops = nloops << 1; | |
200 | } while (nblocks != 0); | |
201 | } | |
202 | ||
203 | /** | |
204 | * Do the permutation needed BEFORE calling fft_calc() | |
205 | */ | |
206 | void fft_permute(FFTContext *s, FFTComplex *z) | |
207 | { | |
208 | int j, k, np; | |
209 | FFTComplex tmp; | |
210 | const uint16_t *revtab = s->revtab; | |
211 | ||
212 | /* reverse */ | |
213 | np = 1 << s->nbits; | |
214 | for(j=0;j<np;j++) { | |
215 | k = revtab[j]; | |
216 | if (k < j) { | |
217 | tmp = z[k]; | |
218 | z[k] = z[j]; | |
219 | z[j] = tmp; | |
220 | } | |
221 | } | |
222 | } | |
223 | ||
224 | void fft_end(FFTContext *s) | |
225 | { | |
226 | av_freep(&s->revtab); | |
227 | av_freep(&s->exptab); | |
228 | av_freep(&s->exptab1); | |
229 | } | |
230 |