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1 /*
2  *  Copyright (c) 2013 The WebM project authors. All Rights Reserved.
3  *
4  *  Use of this source code is governed by a BSD-style license
5  *  that can be found in the LICENSE file in the root of the source
6  *  tree. An additional intellectual property rights grant can be found
7  *  in the file PATENTS.  All contributing project authors may
8  *  be found in the AUTHORS file in the root of the source tree.
9  */
10 
11 #include <math.h>
12 #include <stddef.h>
13 #include <stdio.h>
14 #include <stdlib.h>
15 #include <string.h>
16 #include <sys/types.h>
17 
18 #include "./vp8_rtcd.h"
19 
20 #include "test/acm_random.h"
21 #include "third_party/googletest/src/include/gtest/gtest.h"
22 #include "vpx/vpx_integer.h"
23 
24 namespace {
25 
26 const int cospi8sqrt2minus1 = 20091;
27 const int sinpi8sqrt2 = 35468;
28 
reference_idct4x4(const int16_t * input,int16_t * output)29 void reference_idct4x4(const int16_t *input, int16_t *output) {
30   const int16_t *ip = input;
31   int16_t *op = output;
32 
33   for (int i = 0; i < 4; ++i) {
34     const int a1 = ip[0] + ip[8];
35     const int b1 = ip[0] - ip[8];
36     const int temp1 = (ip[4] * sinpi8sqrt2) >> 16;
37     const int temp2 = ip[12] + ((ip[12] * cospi8sqrt2minus1) >> 16);
38     const int c1 = temp1 - temp2;
39     const int temp3 = ip[4] + ((ip[4] * cospi8sqrt2minus1) >> 16);
40     const int temp4 = (ip[12] * sinpi8sqrt2) >> 16;
41     const int d1 = temp3 + temp4;
42     op[0] = a1 + d1;
43     op[12] = a1 - d1;
44     op[4] = b1 + c1;
45     op[8] = b1 - c1;
46     ++ip;
47     ++op;
48   }
49   ip = output;
50   op = output;
51   for (int i = 0; i < 4; ++i) {
52     const int a1 = ip[0] + ip[2];
53     const int b1 = ip[0] - ip[2];
54     const int temp1 = (ip[1] * sinpi8sqrt2) >> 16;
55     const int temp2 = ip[3] + ((ip[3] * cospi8sqrt2minus1) >> 16);
56     const int c1 = temp1 - temp2;
57     const int temp3 = ip[1] + ((ip[1] * cospi8sqrt2minus1) >> 16);
58     const int temp4 = (ip[3] * sinpi8sqrt2) >> 16;
59     const int d1 = temp3 + temp4;
60     op[0] = (a1 + d1 + 4) >> 3;
61     op[3] = (a1 - d1 + 4) >> 3;
62     op[1] = (b1 + c1 + 4) >> 3;
63     op[2] = (b1 - c1 + 4) >> 3;
64     ip += 4;
65     op += 4;
66   }
67 }
68 
69 using libvpx_test::ACMRandom;
70 
TEST(VP8FdctTest,SignBiasCheck)71 TEST(VP8FdctTest, SignBiasCheck) {
72   ACMRandom rnd(ACMRandom::DeterministicSeed());
73   int16_t test_input_block[16];
74   int16_t test_output_block[16];
75   const int pitch = 8;
76   int count_sign_block[16][2];
77   const int count_test_block = 1000000;
78 
79   memset(count_sign_block, 0, sizeof(count_sign_block));
80 
81   for (int i = 0; i < count_test_block; ++i) {
82     // Initialize a test block with input range [-255, 255].
83     for (int j = 0; j < 16; ++j)
84       test_input_block[j] = rnd.Rand8() - rnd.Rand8();
85 
86     vp8_short_fdct4x4_c(test_input_block, test_output_block, pitch);
87 
88     for (int j = 0; j < 16; ++j) {
89       if (test_output_block[j] < 0)
90         ++count_sign_block[j][0];
91       else if (test_output_block[j] > 0)
92         ++count_sign_block[j][1];
93     }
94   }
95 
96   bool bias_acceptable = true;
97   for (int j = 0; j < 16; ++j)
98     bias_acceptable = bias_acceptable &&
99     (abs(count_sign_block[j][0] - count_sign_block[j][1]) < 10000);
100 
101   EXPECT_EQ(true, bias_acceptable)
102     << "Error: 4x4 FDCT has a sign bias > 1% for input range [-255, 255]";
103 
104   memset(count_sign_block, 0, sizeof(count_sign_block));
105 
106   for (int i = 0; i < count_test_block; ++i) {
107     // Initialize a test block with input range [-15, 15].
108     for (int j = 0; j < 16; ++j)
109       test_input_block[j] = (rnd.Rand8() >> 4) - (rnd.Rand8() >> 4);
110 
111     vp8_short_fdct4x4_c(test_input_block, test_output_block, pitch);
112 
113     for (int j = 0; j < 16; ++j) {
114       if (test_output_block[j] < 0)
115         ++count_sign_block[j][0];
116       else if (test_output_block[j] > 0)
117         ++count_sign_block[j][1];
118     }
119   }
120 
121   bias_acceptable = true;
122   for (int j = 0; j < 16; ++j)
123     bias_acceptable = bias_acceptable &&
124     (abs(count_sign_block[j][0] - count_sign_block[j][1]) < 100000);
125 
126   EXPECT_EQ(true, bias_acceptable)
127     << "Error: 4x4 FDCT has a sign bias > 10% for input range [-15, 15]";
128 };
129 
TEST(VP8FdctTest,RoundTripErrorCheck)130 TEST(VP8FdctTest, RoundTripErrorCheck) {
131   ACMRandom rnd(ACMRandom::DeterministicSeed());
132   int max_error = 0;
133   double total_error = 0;
134   const int count_test_block = 1000000;
135   for (int i = 0; i < count_test_block; ++i) {
136     int16_t test_input_block[16];
137     int16_t test_temp_block[16];
138     int16_t test_output_block[16];
139 
140     // Initialize a test block with input range [-255, 255].
141     for (int j = 0; j < 16; ++j)
142       test_input_block[j] = rnd.Rand8() - rnd.Rand8();
143 
144     const int pitch = 8;
145     vp8_short_fdct4x4_c(test_input_block, test_temp_block, pitch);
146     reference_idct4x4(test_temp_block, test_output_block);
147 
148     for (int j = 0; j < 16; ++j) {
149       const int diff = test_input_block[j] - test_output_block[j];
150       const int error = diff * diff;
151       if (max_error < error)
152         max_error = error;
153       total_error += error;
154     }
155   }
156 
157   EXPECT_GE(1, max_error )
158     << "Error: FDCT/IDCT has an individual roundtrip error > 1";
159 
160   EXPECT_GE(count_test_block, total_error)
161     << "Error: FDCT/IDCT has average roundtrip error > 1 per block";
162 };
163 
164 }  // namespace
165