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// This file is part of OpenCV project.
// It is subject to the license terms in the LICENSE file found in the top-level directory
// of this distribution and at http://opencv.org/license.html.
#include "test_precomp.hpp"
#include "opencv2/core/mat.hpp"
#include "opencv2/signal.hpp"
#include <vector>
#include <numeric>
#include <cmath>
#include <string>
#include <random>
#include <ctime>
#include <algorithm>
namespace opencv_test { namespace {
using namespace cv;
using namespace cv::signal;
float MSE(const Mat1f &outSignal, const Mat1f &refSignal)
{
float mse = 0.f;
for (int i = 0; i < refSignal.cols; ++i)
{
mse += powf(outSignal.at<float>(0,i) - refSignal.at<float>(0,i), 2.f);
}
mse /= refSignal.cols;
return mse;
}
// RRMSE = sqrt( MSE / SUM(sqr(refSignal(i))) ) * 100%
float RRMSE(const Mat1f &outSignal, const Mat1f &refSignal)
{
float rrmse = 0.f;
float div = 0.f;
rrmse = MSE(outSignal, refSignal);
for (int i = 0; i < refSignal.cols; ++i)
{
div += powf(refSignal.at<float>(0,i), 2.f);
}
rrmse /= div;
rrmse = sqrt(rrmse) * 100;
return rrmse;
}
TEST(ResampleTest, simple_resample_test_up)
{
Mat1f sample_signal(Size(1000U,1U));
Mat1f outSignal;
std::iota(sample_signal.begin(), sample_signal.end(), 1.f);
resampleSignal(sample_signal, outSignal, 16000U, 32000U);
vector<float> ref(outSignal.cols, 0.f);
for (uint32_t i = 0U; i < 2000U; ++i)
{
ref[i] = static_cast<float>(i) / 2.f;
}
EXPECT_NEAR(cvtest::norm(ref, NORM_L2) / cvtest::norm(outSignal, NORM_L2), 1.0f, 0.05f)
<< "\nL2_norm(refSignal) = " << cvtest::norm(ref, NORM_L2)
<< "\nL2_norm(outSignal) = " << cvtest::norm(outSignal, NORM_L2);
}
TEST(ResampleTest, resample_sin_signal_up_2)
{
Mat1f sample_signal(Size(1000U,1U));
Mat1f outSignal;
for (uint32_t i = 0U; i < (uint32_t)sample_signal.cols; ++i)
{
sample_signal.at<float>(0, i) = sinf(float(i));
}
resampleSignal(sample_signal, outSignal, 16000U, 32000U);
vector<float> ref(outSignal.cols, 0.f);
for (uint32_t i = 0U; i < 2000U; ++i)
{
ref[i] = sin(static_cast<float>(i) / 2.f);
}
EXPECT_NEAR(cvtest::norm(ref, NORM_L2) / cvtest::norm(outSignal, NORM_L2), 1.0f, 0.05f)
<< "\nL2_norm(refSignal) = " << cvtest::norm(ref, NORM_L2)
<< "\nL2_norm(outSignal) = " << cvtest::norm(outSignal, NORM_L2);
}
TEST(ResampleTest, simple_resample_test_dn)
{
Mat1f sample_signal(Size(1000U,1U));
Mat1f outSignal;
std::iota(sample_signal.begin(), sample_signal.end(), 1.f);
resampleSignal(sample_signal, outSignal, 32000U, 16000U);
vector<float> ref(outSignal.cols, 0.f);
for (uint32_t i = 0U; i < 500U; ++i)
{
ref[i] = static_cast<float>(i) * 2.f;
}
EXPECT_NEAR(cvtest::norm(ref, NORM_L2) / cvtest::norm(outSignal, NORM_L2), 1.0f, 0.05f)
<< "\nL2_norm(refSignal) = " << cvtest::norm(ref, NORM_L2)
<< "\nL2_norm(outSignal) = " << cvtest::norm(outSignal, NORM_L2);
}
TEST(ResampleTest, resample_sin_signal_dn_2)
{
Mat1f sample_signal(Size(1000U,1U));
Mat1f outSignal;
for (uint32_t i = 0U; i < (uint32_t)sample_signal.cols; ++i)
{
sample_signal.at<float>(0, i) = sinf(float(i));
}
resampleSignal(sample_signal, outSignal, 32000U, 16000U);
std::vector<float> ref(outSignal.cols, 0.f);
for (uint32_t i = 0U; i < 500U; ++i)
{
ref[i] = sin(static_cast<float>(i) * 2.f);
}
EXPECT_NEAR(cvtest::norm(ref, NORM_L2) / cvtest::norm(outSignal, NORM_L2), 1.0f, 0.05f)
<< "\nL2_norm(refSignal) = " << cvtest::norm(ref, NORM_L2)
<< "\nL2_norm(outSignal) = " << cvtest::norm(outSignal, NORM_L2);
}
// produce 1s of signal @ freq hz
void fillSignal(uint32_t freq, Mat1f &inSignal)
{
static std::default_random_engine e((unsigned int)(time(NULL)));
static std::uniform_real_distribution<> dis(0, 1); // range [0, 1)
static auto a = dis(e), b = dis(e), c = dis(e);
uint32_t idx = 0;
std::generate(inSignal.begin(), inSignal.end(), [&]()
{
float ret = static_cast<float>(sin(idx/(float)freq + a) + 3 * sin(CV_PI / 4 * (idx/(float)freq + b))
+ 5 * sin(CV_PI/12 * idx/(float)freq + c) + 20*cos(idx/(float)freq*4000));
idx++;
return ret;
});
}
class ResampleTestClass : public testing::TestWithParam<std::tuple<int, int>>
{
};
TEST_P(ResampleTestClass, func_test) {
auto params1 = GetParam();
uint32_t inFreq = std::get<0>(params1);
uint32_t outFreq = std::get<1>(params1);
// 1 second @ inFreq hz
Mat1f inSignal(Size(inFreq, 1U));
Mat1f outSignal;
// generating testing function as a sum of different sinusoids
fillSignal(inFreq, inSignal);
resampleSignal(inSignal, outSignal, inFreq, outFreq);
// reference signal
// 1 second @ outFreq hz
Mat1f refSignal(Size(outFreq, 1U));
fillSignal(outFreq, refSignal);
// calculating maxDiff
float maxDiff = 0.f;
// exclude 2 elements and last 2 elements from testing
for (uint32_t i = 2; i < (uint32_t)refSignal.cols - 2; ++i)
{
if(maxDiff < abs(refSignal.at<float>(0,i) - outSignal.at<float>(0,i)))
{
maxDiff = abs(refSignal.at<float>(0,i) - outSignal.at<float>(0,i));
}
}
auto max = std::max_element(outSignal.begin(), outSignal.end());
float maxDiffRel = maxDiff / (*max);
EXPECT_LE(maxDiffRel, 0.35f);
// calculating relative error of L2 norms
EXPECT_NEAR(abs(cvtest::norm(outSignal, NORM_L2) - cvtest::norm(refSignal, NORM_L2)) /
cvtest::norm(refSignal, NORM_L2), 0.0f, 0.05f);
// calculating relative mean squared error
float rrmse = RRMSE(outSignal, refSignal);
// 1% error
EXPECT_LE(rrmse, 1.f);
}
INSTANTIATE_TEST_CASE_P(RefSignalTestingCase,
ResampleTestClass,
::testing::Combine(testing::Values(16000, 32000, 44100, 48000),
testing::Values(16000, 32000, 44100, 48000)));
}} // namespace
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