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1 /*
2  * Copyright (c) 2016, Alliance for Open Media. All rights reserved
3  *
4  * This source code is subject to the terms of the BSD 2 Clause License and
5  * the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
6  * was not distributed with this source code in the LICENSE file, you can
7  * obtain it at www.aomedia.org/license/software. If the Alliance for Open
8  * Media Patent License 1.0 was not distributed with this source code in the
9  * PATENTS file, you can obtain it at www.aomedia.org/license/patent.
10  */
11 
12 #include <assert.h>
13 #include <stdint.h>
14 #include <string.h>
15 
16 #include "av1/encoder/palette.h"
17 #include "av1/encoder/random.h"
18 
19 #ifndef AV1_K_MEANS_DIM
20 #error "This template requires AV1_K_MEANS_DIM to be defined"
21 #endif
22 
23 #define RENAME_(x, y) AV1_K_MEANS_RENAME(x, y)
24 #define RENAME(x) RENAME_(x, AV1_K_MEANS_DIM)
25 
RENAME(calc_dist)26 static int RENAME(calc_dist)(const int *p1, const int *p2) {
27   int dist = 0;
28   for (int i = 0; i < AV1_K_MEANS_DIM; ++i) {
29     const int diff = p1[i] - p2[i];
30     dist += diff * diff;
31   }
32   return dist;
33 }
34 
RENAME(av1_calc_indices)35 void RENAME(av1_calc_indices)(const int *data, const int *centroids,
36                               uint8_t *indices, int n, int k) {
37   for (int i = 0; i < n; ++i) {
38     int min_dist = RENAME(calc_dist)(data + i * AV1_K_MEANS_DIM, centroids);
39     indices[i] = 0;
40     for (int j = 1; j < k; ++j) {
41       const int this_dist = RENAME(calc_dist)(data + i * AV1_K_MEANS_DIM,
42                                               centroids + j * AV1_K_MEANS_DIM);
43       if (this_dist < min_dist) {
44         min_dist = this_dist;
45         indices[i] = j;
46       }
47     }
48   }
49 }
50 
RENAME(calc_centroids)51 static void RENAME(calc_centroids)(const int *data, int *centroids,
52                                    const uint8_t *indices, int n, int k) {
53   int i, j;
54   int count[PALETTE_MAX_SIZE] = { 0 };
55   unsigned int rand_state = (unsigned int)data[0];
56   assert(n <= 32768);
57   memset(centroids, 0, sizeof(centroids[0]) * k * AV1_K_MEANS_DIM);
58 
59   for (i = 0; i < n; ++i) {
60     const int index = indices[i];
61     assert(index < k);
62     ++count[index];
63     for (j = 0; j < AV1_K_MEANS_DIM; ++j) {
64       centroids[index * AV1_K_MEANS_DIM + j] += data[i * AV1_K_MEANS_DIM + j];
65     }
66   }
67 
68   for (i = 0; i < k; ++i) {
69     if (count[i] == 0) {
70       memcpy(centroids + i * AV1_K_MEANS_DIM,
71              data + (lcg_rand16(&rand_state) % n) * AV1_K_MEANS_DIM,
72              sizeof(centroids[0]) * AV1_K_MEANS_DIM);
73     } else {
74       for (j = 0; j < AV1_K_MEANS_DIM; ++j) {
75         centroids[i * AV1_K_MEANS_DIM + j] =
76             DIVIDE_AND_ROUND(centroids[i * AV1_K_MEANS_DIM + j], count[i]);
77       }
78     }
79   }
80 }
81 
RENAME(calc_total_dist)82 static int64_t RENAME(calc_total_dist)(const int *data, const int *centroids,
83                                        const uint8_t *indices, int n, int k) {
84   int64_t dist = 0;
85   (void)k;
86   for (int i = 0; i < n; ++i) {
87     dist += RENAME(calc_dist)(data + i * AV1_K_MEANS_DIM,
88                               centroids + indices[i] * AV1_K_MEANS_DIM);
89   }
90   return dist;
91 }
92 
RENAME(av1_k_means)93 void RENAME(av1_k_means)(const int *data, int *centroids, uint8_t *indices,
94                          int n, int k, int max_itr) {
95   int pre_centroids[2 * PALETTE_MAX_SIZE];
96   uint8_t pre_indices[MAX_SB_SQUARE];
97 
98   RENAME(av1_calc_indices)(data, centroids, indices, n, k);
99   int64_t this_dist = RENAME(calc_total_dist)(data, centroids, indices, n, k);
100 
101   for (int i = 0; i < max_itr; ++i) {
102     const int64_t pre_dist = this_dist;
103     memcpy(pre_centroids, centroids,
104            sizeof(pre_centroids[0]) * k * AV1_K_MEANS_DIM);
105     memcpy(pre_indices, indices, sizeof(pre_indices[0]) * n);
106 
107     RENAME(calc_centroids)(data, centroids, indices, n, k);
108     RENAME(av1_calc_indices)(data, centroids, indices, n, k);
109     this_dist = RENAME(calc_total_dist)(data, centroids, indices, n, k);
110 
111     if (this_dist > pre_dist) {
112       memcpy(centroids, pre_centroids,
113              sizeof(pre_centroids[0]) * k * AV1_K_MEANS_DIM);
114       memcpy(indices, pre_indices, sizeof(pre_indices[0]) * n);
115       break;
116     }
117     if (!memcmp(centroids, pre_centroids,
118                 sizeof(pre_centroids[0]) * k * AV1_K_MEANS_DIM))
119       break;
120   }
121 }
122 #undef RENAME_
123 #undef RENAME
124