FFmpeg
jfdctfst.c
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1 /*
2  * This file is part of the Independent JPEG Group's software.
3  *
4  * The authors make NO WARRANTY or representation, either express or implied,
5  * with respect to this software, its quality, accuracy, merchantability, or
6  * fitness for a particular purpose. This software is provided "AS IS", and
7  * you, its user, assume the entire risk as to its quality and accuracy.
8  *
9  * This software is copyright (C) 1994-1996, Thomas G. Lane.
10  * All Rights Reserved except as specified below.
11  *
12  * Permission is hereby granted to use, copy, modify, and distribute this
13  * software (or portions thereof) for any purpose, without fee, subject to
14  * these conditions:
15  * (1) If any part of the source code for this software is distributed, then
16  * this README file must be included, with this copyright and no-warranty
17  * notice unaltered; and any additions, deletions, or changes to the original
18  * files must be clearly indicated in accompanying documentation.
19  * (2) If only executable code is distributed, then the accompanying
20  * documentation must state that "this software is based in part on the work
21  * of the Independent JPEG Group".
22  * (3) Permission for use of this software is granted only if the user accepts
23  * full responsibility for any undesirable consequences; the authors accept
24  * NO LIABILITY for damages of any kind.
25  *
26  * These conditions apply to any software derived from or based on the IJG
27  * code, not just to the unmodified library. If you use our work, you ought
28  * to acknowledge us.
29  *
30  * Permission is NOT granted for the use of any IJG author's name or company
31  * name in advertising or publicity relating to this software or products
32  * derived from it. This software may be referred to only as "the Independent
33  * JPEG Group's software".
34  *
35  * We specifically permit and encourage the use of this software as the basis
36  * of commercial products, provided that all warranty or liability claims are
37  * assumed by the product vendor.
38  *
39  * This file contains a fast, not so accurate integer implementation of the
40  * forward DCT (Discrete Cosine Transform).
41  *
42  * A 2-D DCT can be done by 1-D DCT on each row followed by 1-D DCT
43  * on each column. Direct algorithms are also available, but they are
44  * much more complex and seem not to be any faster when reduced to code.
45  *
46  * This implementation is based on Arai, Agui, and Nakajima's algorithm for
47  * scaled DCT. Their original paper (Trans. IEICE E-71(11):1095) is in
48  * Japanese, but the algorithm is described in the Pennebaker & Mitchell
49  * JPEG textbook (see REFERENCES section in file README). The following code
50  * is based directly on figure 4-8 in P&M.
51  * While an 8-point DCT cannot be done in less than 11 multiplies, it is
52  * possible to arrange the computation so that many of the multiplies are
53  * simple scalings of the final outputs. These multiplies can then be
54  * folded into the multiplications or divisions by the JPEG quantization
55  * table entries. The AA&N method leaves only 5 multiplies and 29 adds
56  * to be done in the DCT itself.
57  * The primary disadvantage of this method is that with fixed-point math,
58  * accuracy is lost due to imprecise representation of the scaled
59  * quantization values. The smaller the quantization table entry, the less
60  * precise the scaled value, so this implementation does worse with high-
61  * quality-setting files than with low-quality ones.
62  */
63 
64 /**
65  * @file
66  * Independent JPEG Group's fast AAN dct.
67  */
68 
69 #include <stdint.h>
70 #include "libavutil/attributes.h"
71 #include "dct.h"
72 
73 #define DCTSIZE 8
74 #define GLOBAL(x) x
75 #define RIGHT_SHIFT(x, n) ((x) >> (n))
76 
77 /*
78  * This module is specialized to the case DCTSIZE = 8.
79  */
80 
81 #if DCTSIZE != 8
82  Sorry, this code only copes with 8x8 DCTs. /* deliberate syntax err */
83 #endif
84 
85 
86 /* Scaling decisions are generally the same as in the LL&M algorithm;
87  * see jfdctint.c for more details. However, we choose to descale
88  * (right shift) multiplication products as soon as they are formed,
89  * rather than carrying additional fractional bits into subsequent additions.
90  * This compromises accuracy slightly, but it lets us save a few shifts.
91  * More importantly, 16-bit arithmetic is then adequate (for 8-bit samples)
92  * everywhere except in the multiplications proper; this saves a good deal
93  * of work on 16-bit-int machines.
94  *
95  * Again to save a few shifts, the intermediate results between pass 1 and
96  * pass 2 are not upscaled, but are represented only to integral precision.
97  *
98  * A final compromise is to represent the multiplicative constants to only
99  * 8 fractional bits, rather than 13. This saves some shifting work on some
100  * machines, and may also reduce the cost of multiplication (since there
101  * are fewer one-bits in the constants).
102  */
103 
104 #define CONST_BITS 8
105 
106 
107 /* Some C compilers fail to reduce "FIX(constant)" at compile time, thus
108  * causing a lot of useless floating-point operations at run time.
109  * To get around this we use the following pre-calculated constants.
110  * If you change CONST_BITS you may want to add appropriate values.
111  * (With a reasonable C compiler, you can just rely on the FIX() macro...)
112  */
113 
114 #if CONST_BITS == 8
115 #define FIX_0_382683433 ((int32_t) 98) /* FIX(0.382683433) */
116 #define FIX_0_541196100 ((int32_t) 139) /* FIX(0.541196100) */
117 #define FIX_0_707106781 ((int32_t) 181) /* FIX(0.707106781) */
118 #define FIX_1_306562965 ((int32_t) 334) /* FIX(1.306562965) */
119 #else
120 #define FIX_0_382683433 FIX(0.382683433)
121 #define FIX_0_541196100 FIX(0.541196100)
122 #define FIX_0_707106781 FIX(0.707106781)
123 #define FIX_1_306562965 FIX(1.306562965)
124 #endif
125 
126 
127 /* We can gain a little more speed, with a further compromise in accuracy,
128  * by omitting the addition in a descaling shift. This yields an incorrectly
129  * rounded result half the time...
130  */
131 
132 #ifndef USE_ACCURATE_ROUNDING
133 #undef DESCALE
134 #define DESCALE(x,n) RIGHT_SHIFT(x, n)
135 #endif
136 
137 
138 /* Multiply a int16_t variable by an int32_t constant, and immediately
139  * descale to yield a int16_t result.
140  */
141 
142 #define MULTIPLY(var,const) ((int16_t) DESCALE((var) * (const), CONST_BITS))
143 
144 static av_always_inline void row_fdct(int16_t * data){
145  int tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
146  int tmp10, tmp11, tmp12, tmp13;
147  int z1, z2, z3, z4, z5, z11, z13;
148  int16_t *dataptr;
149  int ctr;
150 
151  /* Pass 1: process rows. */
152 
153  dataptr = data;
154  for (ctr = DCTSIZE-1; ctr >= 0; ctr--) {
155  tmp0 = dataptr[0] + dataptr[7];
156  tmp7 = dataptr[0] - dataptr[7];
157  tmp1 = dataptr[1] + dataptr[6];
158  tmp6 = dataptr[1] - dataptr[6];
159  tmp2 = dataptr[2] + dataptr[5];
160  tmp5 = dataptr[2] - dataptr[5];
161  tmp3 = dataptr[3] + dataptr[4];
162  tmp4 = dataptr[3] - dataptr[4];
163 
164  /* Even part */
165 
166  tmp10 = tmp0 + tmp3; /* phase 2 */
167  tmp13 = tmp0 - tmp3;
168  tmp11 = tmp1 + tmp2;
169  tmp12 = tmp1 - tmp2;
170 
171  dataptr[0] = tmp10 + tmp11; /* phase 3 */
172  dataptr[4] = tmp10 - tmp11;
173 
174  z1 = MULTIPLY(tmp12 + tmp13, FIX_0_707106781); /* c4 */
175  dataptr[2] = tmp13 + z1; /* phase 5 */
176  dataptr[6] = tmp13 - z1;
177 
178  /* Odd part */
179 
180  tmp10 = tmp4 + tmp5; /* phase 2 */
181  tmp11 = tmp5 + tmp6;
182  tmp12 = tmp6 + tmp7;
183 
184  /* The rotator is modified from fig 4-8 to avoid extra negations. */
185  z5 = MULTIPLY(tmp10 - tmp12, FIX_0_382683433); /* c6 */
186  z2 = MULTIPLY(tmp10, FIX_0_541196100) + z5; /* c2-c6 */
187  z4 = MULTIPLY(tmp12, FIX_1_306562965) + z5; /* c2+c6 */
188  z3 = MULTIPLY(tmp11, FIX_0_707106781); /* c4 */
189 
190  z11 = tmp7 + z3; /* phase 5 */
191  z13 = tmp7 - z3;
192 
193  dataptr[5] = z13 + z2; /* phase 6 */
194  dataptr[3] = z13 - z2;
195  dataptr[1] = z11 + z4;
196  dataptr[7] = z11 - z4;
197 
198  dataptr += DCTSIZE; /* advance pointer to next row */
199  }
200 }
201 
202 /*
203  * Perform the forward DCT on one block of samples.
204  */
205 
206 GLOBAL(void)
207 ff_fdct_ifast (int16_t * data)
208 {
209  int tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
210  int tmp10, tmp11, tmp12, tmp13;
211  int z1, z2, z3, z4, z5, z11, z13;
212  int16_t *dataptr;
213  int ctr;
214 
215  row_fdct(data);
216 
217  /* Pass 2: process columns. */
218 
219  dataptr = data;
220  for (ctr = DCTSIZE-1; ctr >= 0; ctr--) {
221  tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*7];
222  tmp7 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*7];
223  tmp1 = dataptr[DCTSIZE*1] + dataptr[DCTSIZE*6];
224  tmp6 = dataptr[DCTSIZE*1] - dataptr[DCTSIZE*6];
225  tmp2 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*5];
226  tmp5 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*5];
227  tmp3 = dataptr[DCTSIZE*3] + dataptr[DCTSIZE*4];
228  tmp4 = dataptr[DCTSIZE*3] - dataptr[DCTSIZE*4];
229 
230  /* Even part */
231 
232  tmp10 = tmp0 + tmp3; /* phase 2 */
233  tmp13 = tmp0 - tmp3;
234  tmp11 = tmp1 + tmp2;
235  tmp12 = tmp1 - tmp2;
236 
237  dataptr[DCTSIZE*0] = tmp10 + tmp11; /* phase 3 */
238  dataptr[DCTSIZE*4] = tmp10 - tmp11;
239 
240  z1 = MULTIPLY(tmp12 + tmp13, FIX_0_707106781); /* c4 */
241  dataptr[DCTSIZE*2] = tmp13 + z1; /* phase 5 */
242  dataptr[DCTSIZE*6] = tmp13 - z1;
243 
244  /* Odd part */
245 
246  tmp10 = tmp4 + tmp5; /* phase 2 */
247  tmp11 = tmp5 + tmp6;
248  tmp12 = tmp6 + tmp7;
249 
250  /* The rotator is modified from fig 4-8 to avoid extra negations. */
251  z5 = MULTIPLY(tmp10 - tmp12, FIX_0_382683433); /* c6 */
252  z2 = MULTIPLY(tmp10, FIX_0_541196100) + z5; /* c2-c6 */
253  z4 = MULTIPLY(tmp12, FIX_1_306562965) + z5; /* c2+c6 */
254  z3 = MULTIPLY(tmp11, FIX_0_707106781); /* c4 */
255 
256  z11 = tmp7 + z3; /* phase 5 */
257  z13 = tmp7 - z3;
258 
259  dataptr[DCTSIZE*5] = z13 + z2; /* phase 6 */
260  dataptr[DCTSIZE*3] = z13 - z2;
261  dataptr[DCTSIZE*1] = z11 + z4;
262  dataptr[DCTSIZE*7] = z11 - z4;
263 
264  dataptr++; /* advance pointer to next column */
265  }
266 }
267 
268 /*
269  * Perform the forward 2-4-8 DCT on one block of samples.
270  */
271 
272 GLOBAL(void)
274 {
275  int tmp0, tmp1, tmp2, tmp3, tmp4, tmp5, tmp6, tmp7;
276  int tmp10, tmp11, tmp12, tmp13;
277  int z1;
278  int16_t *dataptr;
279  int ctr;
280 
281  row_fdct(data);
282 
283  /* Pass 2: process columns. */
284 
285  dataptr = data;
286  for (ctr = DCTSIZE-1; ctr >= 0; ctr--) {
287  tmp0 = dataptr[DCTSIZE*0] + dataptr[DCTSIZE*1];
288  tmp1 = dataptr[DCTSIZE*2] + dataptr[DCTSIZE*3];
289  tmp2 = dataptr[DCTSIZE*4] + dataptr[DCTSIZE*5];
290  tmp3 = dataptr[DCTSIZE*6] + dataptr[DCTSIZE*7];
291  tmp4 = dataptr[DCTSIZE*0] - dataptr[DCTSIZE*1];
292  tmp5 = dataptr[DCTSIZE*2] - dataptr[DCTSIZE*3];
293  tmp6 = dataptr[DCTSIZE*4] - dataptr[DCTSIZE*5];
294  tmp7 = dataptr[DCTSIZE*6] - dataptr[DCTSIZE*7];
295 
296  /* Even part */
297 
298  tmp10 = tmp0 + tmp3;
299  tmp11 = tmp1 + tmp2;
300  tmp12 = tmp1 - tmp2;
301  tmp13 = tmp0 - tmp3;
302 
303  dataptr[DCTSIZE*0] = tmp10 + tmp11;
304  dataptr[DCTSIZE*4] = tmp10 - tmp11;
305 
306  z1 = MULTIPLY(tmp12 + tmp13, FIX_0_707106781);
307  dataptr[DCTSIZE*2] = tmp13 + z1;
308  dataptr[DCTSIZE*6] = tmp13 - z1;
309 
310  tmp10 = tmp4 + tmp7;
311  tmp11 = tmp5 + tmp6;
312  tmp12 = tmp5 - tmp6;
313  tmp13 = tmp4 - tmp7;
314 
315  dataptr[DCTSIZE*1] = tmp10 + tmp11;
316  dataptr[DCTSIZE*5] = tmp10 - tmp11;
317 
318  z1 = MULTIPLY(tmp12 + tmp13, FIX_0_707106781);
319  dataptr[DCTSIZE*3] = tmp13 + z1;
320  dataptr[DCTSIZE*7] = tmp13 - z1;
321 
322  dataptr++; /* advance pointer to next column */
323  }
324 }
325 
326 
327 #undef GLOBAL
328 #undef CONST_BITS
329 #undef DESCALE
330 #undef FIX_0_541196100
331 #undef FIX_1_306562965
ff_fdct_ifast248
ff_fdct_ifast248(int16_t *data)
Definition: jfdctfst.c:273
FIX_0_707106781
#define FIX_0_707106781
Definition: jfdctfst.c:117
FIX_0_541196100
#define FIX_0_541196100
Definition: jfdctfst.c:116
data
const char data[16]
Definition: mxf.c:146
row_fdct
static av_always_inline void row_fdct(int16_t *data)
Definition: jfdctfst.c:144
FIX_0_382683433
#define FIX_0_382683433
Definition: jfdctfst.c:115
dct.h
DCTSIZE
#define DCTSIZE
Definition: jfdctfst.c:73
MULTIPLY
#define MULTIPLY(var, const)
Definition: jfdctfst.c:142
FIX_1_306562965
#define FIX_1_306562965
Definition: jfdctfst.c:118
attributes.h
code
and forward the test the status of outputs and forward it to the corresponding return FFERROR_NOT_READY If the filters stores internally one or a few frame for some it can consider them to be part of the FIFO and delay acknowledging a status change accordingly Example code
Definition: filter_design.txt:178
av_always_inline
#define av_always_inline
Definition: attributes.h:49
ff_fdct_ifast
ff_fdct_ifast(int16_t *data)
Definition: jfdctfst.c:207
GLOBAL
#define GLOBAL(x)
Definition: jfdctfst.c:74