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      1 /*
      2  *  Copyright (c) 2012 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 <stdlib.h>
     13 #include <string.h>
     14 
     15 #include "third_party/googletest/src/include/gtest/gtest.h"
     16 
     17 #include "./vp9_rtcd.h"
     18 
     19 #include "test/acm_random.h"
     20 #include "vpx/vpx_integer.h"
     21 
     22 using libvpx_test::ACMRandom;
     23 
     24 namespace {
     25 
     26 #ifdef _MSC_VER
     27 static int round(double x) {
     28   if (x < 0)
     29     return static_cast<int>(ceil(x - 0.5));
     30   else
     31     return static_cast<int>(floor(x + 0.5));
     32 }
     33 #endif
     34 
     35 void reference_dct_1d(double input[8], double output[8]) {
     36   const double kPi = 3.141592653589793238462643383279502884;
     37   const double kInvSqrt2 = 0.707106781186547524400844362104;
     38   for (int k = 0; k < 8; k++) {
     39     output[k] = 0.0;
     40     for (int n = 0; n < 8; n++)
     41       output[k] += input[n]*cos(kPi*(2*n+1)*k/16.0);
     42     if (k == 0)
     43       output[k] = output[k]*kInvSqrt2;
     44   }
     45 }
     46 
     47 void reference_dct_2d(int16_t input[64], double output[64]) {
     48   // First transform columns
     49   for (int i = 0; i < 8; ++i) {
     50     double temp_in[8], temp_out[8];
     51     for (int j = 0; j < 8; ++j)
     52       temp_in[j] = input[j*8 + i];
     53     reference_dct_1d(temp_in, temp_out);
     54     for (int j = 0; j < 8; ++j)
     55       output[j*8 + i] = temp_out[j];
     56   }
     57   // Then transform rows
     58   for (int i = 0; i < 8; ++i) {
     59     double temp_in[8], temp_out[8];
     60     for (int j = 0; j < 8; ++j)
     61       temp_in[j] = output[j + i*8];
     62     reference_dct_1d(temp_in, temp_out);
     63     for (int j = 0; j < 8; ++j)
     64       output[j + i*8] = temp_out[j];
     65   }
     66   // Scale by some magic number
     67   for (int i = 0; i < 64; ++i)
     68     output[i] *= 2;
     69 }
     70 
     71 void reference_idct_1d(double input[8], double output[8]) {
     72   const double kPi = 3.141592653589793238462643383279502884;
     73   const double kSqrt2 = 1.414213562373095048801688724209698;
     74   for (int k = 0; k < 8; k++) {
     75     output[k] = 0.0;
     76     for (int n = 0; n < 8; n++) {
     77       output[k] += input[n]*cos(kPi*(2*k+1)*n/16.0);
     78       if (n == 0)
     79         output[k] = output[k]/kSqrt2;
     80     }
     81   }
     82 }
     83 
     84 void reference_idct_2d(double input[64], int16_t output[64]) {
     85   double out[64], out2[64];
     86   // First transform rows
     87   for (int i = 0; i < 8; ++i) {
     88     double temp_in[8], temp_out[8];
     89     for (int j = 0; j < 8; ++j)
     90       temp_in[j] = input[j + i*8];
     91     reference_idct_1d(temp_in, temp_out);
     92     for (int j = 0; j < 8; ++j)
     93       out[j + i*8] = temp_out[j];
     94   }
     95   // Then transform columns
     96   for (int i = 0; i < 8; ++i) {
     97     double temp_in[8], temp_out[8];
     98     for (int j = 0; j < 8; ++j)
     99       temp_in[j] = out[j*8 + i];
    100     reference_idct_1d(temp_in, temp_out);
    101     for (int j = 0; j < 8; ++j)
    102       out2[j*8 + i] = temp_out[j];
    103   }
    104   for (int i = 0; i < 64; ++i)
    105     output[i] = round(out2[i]/32);
    106 }
    107 
    108 TEST(VP9Idct8x8Test, AccuracyCheck) {
    109   ACMRandom rnd(ACMRandom::DeterministicSeed());
    110   const int count_test_block = 10000;
    111   for (int i = 0; i < count_test_block; ++i) {
    112     int16_t input[64], coeff[64];
    113     double output_r[64];
    114     uint8_t dst[64], src[64];
    115 
    116     for (int j = 0; j < 64; ++j) {
    117       src[j] = rnd.Rand8();
    118       dst[j] = rnd.Rand8();
    119     }
    120     // Initialize a test block with input range [-255, 255].
    121     for (int j = 0; j < 64; ++j)
    122       input[j] = src[j] - dst[j];
    123 
    124     reference_dct_2d(input, output_r);
    125     for (int j = 0; j < 64; ++j)
    126       coeff[j] = round(output_r[j]);
    127     vp9_idct8x8_64_add_c(coeff, dst, 8);
    128     for (int j = 0; j < 64; ++j) {
    129       const int diff = dst[j] - src[j];
    130       const int error = diff * diff;
    131       EXPECT_GE(1, error)
    132           << "Error: 8x8 FDCT/IDCT has error " << error
    133           << " at index " << j;
    134     }
    135   }
    136 }
    137 
    138 }  // namespace
    139