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1 | /* | ||
2 | * reference discrete cosine transform (double precision) | ||
3 | * Copyright (C) 2009 Dylan Yudaken | ||
4 | * | ||
5 | * This file is part of FFmpeg. | ||
6 | * | ||
7 | * FFmpeg is free software; you can redistribute it and/or | ||
8 | * modify it under the terms of the GNU Lesser General Public | ||
9 | * License as published by the Free Software Foundation; either | ||
10 | * version 2.1 of the License, or (at your option) any later version. | ||
11 | * | ||
12 | * FFmpeg is distributed in the hope that it will be useful, | ||
13 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
14 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | ||
15 | * Lesser General Public License for more details. | ||
16 | * | ||
17 | * You should have received a copy of the GNU Lesser General Public | ||
18 | * License along with FFmpeg; if not, write to the Free Software | ||
19 | * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA | ||
20 | */ | ||
21 | |||
22 | /** | ||
23 | * @file | ||
24 | * reference discrete cosine transform (double precision) | ||
25 | * | ||
26 | * @author Dylan Yudaken (dyudaken at gmail) | ||
27 | * | ||
28 | * @note This file could be optimized a lot, but is for | ||
29 | * reference and so readability is better. | ||
30 | */ | ||
31 | |||
32 | #include "libavutil/mathematics.h" | ||
33 | #include "dctref.h" | ||
34 | |||
35 | static double coefficients[8 * 8]; | ||
36 | |||
37 | /** | ||
38 | * Initialize the double precision discrete cosine transform | ||
39 | * functions fdct & idct. | ||
40 | */ | ||
41 | 5 | av_cold void ff_ref_dct_init(void) | |
42 | { | ||
43 | unsigned int i, j; | ||
44 | |||
45 |
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45 | for (j = 0; j < 8; ++j) { |
46 | 40 | coefficients[j] = sqrt(0.125); | |
47 |
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320 | for (i = 8; i < 64; i += 8) { |
48 | 280 | coefficients[i + j] = 0.5 * cos(i * (j + 0.5) * M_PI / 64.0); | |
49 | } | ||
50 | } | ||
51 | 5 | } | |
52 | |||
53 | /** | ||
54 | * Transform 8x8 block of data with a double precision forward DCT <br> | ||
55 | * This is a reference implementation. | ||
56 | * | ||
57 | * @param block pointer to 8x8 block of data to transform | ||
58 | */ | ||
59 | 460000 | void ff_ref_fdct(short *block) | |
60 | { | ||
61 | /* implement the equation: block = coefficients * block * coefficients' */ | ||
62 | |||
63 | unsigned int i, j, k; | ||
64 | double out[8 * 8]; | ||
65 | |||
66 | /* out = coefficients * block */ | ||
67 |
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68 |
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69 | 29440000 | double tmp = 0; | |
70 |
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264960000 | for (k = 0; k < 8; ++k) { |
71 | 235520000 | tmp += coefficients[i + k] * block[k * 8 + j]; | |
72 | } | ||
73 | 29440000 | out[i + j] = tmp * 8; | |
74 | } | ||
75 | } | ||
76 | |||
77 | /* block = out * (coefficients') */ | ||
78 |
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79 |
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80 | 29440000 | double tmp = 0; | |
81 |
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82 | 235520000 | tmp += out[i + k] * coefficients[j * 8 + k]; | |
83 | } | ||
84 | 29440000 | block[i + j] = floor(tmp + 0.499999999999); | |
85 | } | ||
86 | } | ||
87 | 460000 | } | |
88 | |||
89 | /** | ||
90 | * Transform 8x8 block of data with a double precision inverse DCT <br> | ||
91 | * This is a reference implementation. | ||
92 | * | ||
93 | * @param block pointer to 8x8 block of data to transform | ||
94 | */ | ||
95 | 1080000 | void ff_ref_idct(short *block) | |
96 | { | ||
97 | /* implement the equation: block = (coefficients') * block * coefficients */ | ||
98 | |||
99 | unsigned int i, j, k; | ||
100 | double out[8 * 8]; | ||
101 | |||
102 | /* out = block * coefficients */ | ||
103 |
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104 |
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105 | 69120000 | double tmp = 0; | |
106 |
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107 | 552960000 | tmp += block[i + k] * coefficients[k * 8 + j]; | |
108 | } | ||
109 | 69120000 | out[i + j] = tmp; | |
110 | } | ||
111 | } | ||
112 | |||
113 | /* block = (coefficients') * out */ | ||
114 |
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115 |
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116 | 69120000 | double tmp = 0; | |
117 |
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622080000 | for (k = 0; k < 64; k += 8) { |
118 | 552960000 | tmp += coefficients[k + i] * out[k + j]; | |
119 | } | ||
120 | 69120000 | block[i * 8 + j] = floor(tmp + 0.5); | |
121 | } | ||
122 | } | ||
123 | 1080000 | } | |
124 |