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/*
* Copyright Nick Thompson, 2020
* Use, modification and distribution are subject to the
* Boost Software License, Version 1.0. (See accompanying file
* LICENSE_1_0.txt or copy at http://www.boost.org/LICENSE_1_0.txt)
*/
#include <cstdint>
#include <cmath>
#include <boost/math/quadrature/wavelet_transforms.hpp>
#include <Eigen/Dense>
int main()
{
using boost::math::quadrature::daubechies_wavelet_transform;
double a = 1.3;
auto f = [&a](double t) {
if(t==0) {
return double(0);
}
return std::sin(a/t);
};
auto Wf = daubechies_wavelet_transform<decltype(f), double, 8>(f);
Eigen::MatrixXd grid(512, 512);
double s = 7;
double t = 0;
grid(0,0) = Wf(s, t);
auto g = [&a](double t)->std::complex<double> {
if (t==0) {
return {0.0, 0.0};
}
return std::exp(std::complex<double>(0.0, a/t));
};
auto Wg = daubechies_wavelet_transform<decltype(g), double, 8>(g);
std::cout << "W[f](s,t) = " << Wf(s,t) << "\n";
std::cout << "W[g](s,t) = " << Wg(s, t) << "\n";
std::cout << Wg(0.0, 3.5) << "\n";
std::cout << Wf(0.0, 4.8) << "\n";
std::cout << "W[f](-s,t) = " << Wf(-s, t) << "\n";
std::cout << "W[g](-s,t) = " << Wg(-s, t) << "\n";
}
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