kopia lustrzana https://github.com/vsamy/DiFipp
All centered filter test passes.
Though time-varying second order is not working? May need deeper tests.topic/diffentiators v1.4.0
rodzic
d049e600d0
commit
3251815ada
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@ -81,18 +81,17 @@ public:
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protected:
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protected:
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TVGenericFilter() = default;
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TVGenericFilter() = default;
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TVGenericFilter(size_t differentialOrder, const vectX_t<T>& aCoeff, const vectX_t<T>& bCoeff, FilterType type = FilterType::Backward)
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TVGenericFilter(size_t differentialOrder, const vectX_t<T>& aCoeff, const vectX_t<T>& bCoeff, FilterType type = FilterType::Backward)
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: BaseFilter(aCoeff, bCoeff, type)
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: BaseFilter()
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, m_diffOrder(differentialOrder)
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, m_diffOrder(differentialOrder)
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{
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{
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Expects(differentialOrder >= 1);
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Expects(differentialOrder >= 1);
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m_timers.resize(m_bCoeff.size());
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setCoeffs(aCoeff, bCoeff);
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m_timeDiffs.resize(m_bCoeff.size());
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setType(type);
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}
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}
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private:
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private:
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size_t m_diffOrder = 1;
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size_t m_diffOrder = 1;
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vectX_t<T> m_timers;
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vectX_t<T> m_timers;
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vectX_t<T> m_timeDiffs;
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};
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};
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} // namespace difi
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} // namespace difi
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@ -75,27 +75,17 @@ T TVGenericFilter<T>::stepFilter(const T& time, const T& data)
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m_filteredData(i) = m_filteredData(i - 1);
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m_filteredData(i) = m_filteredData(i - 1);
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m_timers(0) = time;
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m_timers(0) = time;
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switch (m_type) {
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const Eigen::Index M = (m_rawData.size() - 1) / 2;
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case FilterType::Backward:
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auto bCoeff = m_bCoeff;
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for (Eigen::Index i = m_rawData.size() - 1; i > 0; --i)
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for (Eigen::Index i = 1; i < M + 1; ++i) {
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m_timeDiffs(i) = m_timeDiffs(i - 1);
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const T diff = std::pow(m_timers(M - i) - m_timers(M + i), m_diffOrder);
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m_timeDiffs(0) = std::pow(time - m_timers(1), m_diffOrder);
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bCoeff(M + i) /= diff;
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break;
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bCoeff(M - i) /= diff;
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case FilterType::Centered: {
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bCoeff(M) -= (bCoeff(M - i) + bCoeff(M + i));
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const Eigen::Index M = (m_rawData.size() - 1) / 2;
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m_timeDiffs(M) = T(1);
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for (Eigen::Index i = 1; i < M; ++i) {
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const T diff = std::pow(m_timers(M - i) - m_timers(M + i), m_diffOrder);
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m_timeDiffs(M + i) = diff;
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m_timeDiffs(M - i) = diff;
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}
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break;
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}
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default: std::invalid_argument("Given FilterType lacks the implementation.");
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}
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}
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m_rawData(0) = data;
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m_rawData(0) = data;
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m_filteredData(0) = 0;
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m_filteredData(0) = 0;
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m_filteredData(0) = (m_bCoeff.cwiseQuotient(m_timeDiffs)).dot(m_rawData) - m_aCoeff.dot(m_filteredData);
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m_filteredData(0) = bCoeff.dot(m_rawData) - m_aCoeff.dot(m_filteredData);
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return m_filteredData(0);
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return m_filteredData(0);
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}
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}
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@ -116,7 +106,6 @@ void TVGenericFilter<T>::resetFilter() noexcept
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m_filteredData.setZero(m_aCoeff.size());
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m_filteredData.setZero(m_aCoeff.size());
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m_rawData.setZero(m_bCoeff.size());
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m_rawData.setZero(m_bCoeff.size());
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m_timers.setZero(m_bCoeff.size());
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m_timers.setZero(m_bCoeff.size());
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m_timeDiffs.setZero(m_bCoeff.size());
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}
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}
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} // namespace difi
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} // namespace difi
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@ -191,7 +191,7 @@ template <typename T, size_t N, typename CNRCoeffs> vectN_t<T, N> GetCNRISDCoeff
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vectN_t<T, N> v{};
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vectN_t<T, N> v{};
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const vectN_t<T, N> v0 = CNRCoeffs{}();
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const vectN_t<T, N> v0 = CNRCoeffs{}();
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v(M) = 0;
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v(M) = 0;
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for (Eigen::Index k = 1; k < M; ++k) {
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for (Eigen::Index k = 1; k < M + 1; ++k) {
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v(M - k) = T(2) * k * v0(M - k);
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v(M - k) = T(2) * k * v0(M - k);
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v(M + k) = T(2) * k * v0(M + k);
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v(M + k) = T(2) * k * v0(M + k);
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}
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}
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@ -264,14 +264,16 @@ struct GetSOCNRISDCoeffs {
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constexpr const T Den = pow(size_t(2), N - 3);
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constexpr const T Den = pow(size_t(2), N - 3);
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vectN_t<T, N> v{};
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vectN_t<T, N> v{};
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vectN_t<T, N> s = GetSONRBaseCoeffs<T, N>();
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const vectN_t<T, M + 1> s = GetSONRBaseCoeffs<T, N>();
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constexpr const alpha = [&s](size_t k) -> T { return T(4) * k * k * s(k) };
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const auto alpha = [&s](size_t k) -> T { return T(4) * k * k * s(k); };
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v(M) = -T(2) * alpha(0);
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v(M) = T(0);
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for (size_t k = 1; k < M; ++k) {
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for (size_t k = 1; k < M + 1; ++k) {
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v(M + k) = alpha(k);
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auto alph = alpha(k);
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v(M - k) = alpha(k);
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v(M) -= T(2) * alph;
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v(M + k) = alph;
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v(M - k) = alph;
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}
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}
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v /= Den;
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v /= Den;
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@ -160,3 +160,9 @@ TVDiffTester<T, tv_central_list<T, N>> generateTVCTester(const vectX_t<T>& t, co
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{
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{
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return { tv_central_list<T, N>{}, t, f, df };
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return { tv_central_list<T, N>{}, t, f, df };
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}
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}
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template <typename T, size_t N>
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TVDiffTester<T, std::tuple<TVCenteredSecondOrderDiff<T, N>>> generateTVC2OTester(const vectX_t<T>& t, const vectX_t<T>& f, const vectX_t<T>& df)
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{
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return { std::tuple<TVCenteredSecondOrderDiff<T, N>>{}, t, f, df };
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}
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@ -79,67 +79,67 @@ TEST_CASE("Coefficient calculation", "[coeff]") // Some coeffs are computed, the
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checkCoeffs<11>(details::GetFNRCoeffs<double, 11>{}(), (vectN_t<double, 11>() << 1., 8., 27., 48., 42., 0., -42., -48., -27., -8., -1.).finished() / 512.);
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checkCoeffs<11>(details::GetFNRCoeffs<double, 11>{}(), (vectN_t<double, 11>() << 1., 8., 27., 48., 42., 0., -42., -48., -27., -8., -1.).finished() / 512.);
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}
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}
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// TEST_CASE("Sinus time-fixed central derivative", "[sin][central][1st]")
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TEST_CASE("Sinus time-fixed central derivative", "[sin][central][1st]")
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// {
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{
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// double dt = 0.001;
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double dt = 0.001;
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// auto sg = sinGenerator<double>(STEPS, SIN_AMPLITUDE, SIN_FREQUENCY, dt);
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auto sg = sinGenerator<double>(STEPS, SIN_AMPLITUDE, SIN_FREQUENCY, dt);
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// auto ct7 = generateCTester<double, 7>(std::get<0>(sg), std::get<1>(sg));
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auto ct7 = generateCTester<double, 7>(std::get<0>(sg), std::get<1>(sg));
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// auto ct9 = generateCTester<double, 9>(std::get<0>(sg), std::get<1>(sg));
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auto ct9 = generateCTester<double, 9>(std::get<0>(sg), std::get<1>(sg));
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// ct7.setFilterTimestep(dt);
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ct7.setFilterTimestep(dt);
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// ct9.setFilterTimestep(dt);
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ct9.setFilterTimestep(dt);
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// std::array<double, 5> eps = { 1e-10, 1e-1, 1e-6, 1e-1, 1e-6 }; // Value checked with MATLAB
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std::array<double, 5> eps = { 1e-10, 1e-1, 1e-6, 1e-1, 1e-6 }; // Value checked with MATLAB
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// ct7.run(eps);
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ct7.run(eps);
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// ct9.run(eps);
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ct9.run(eps);
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// }
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}
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// TEST_CASE("Polynome time-fixed central derivative", "[poly][central][1st]")
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TEST_CASE("Polynome time-fixed central derivative", "[poly][central][1st]")
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// {
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{
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// double dt = 0.001;
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double dt = 0.001;
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// {
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{
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// auto pg4 = polyGenerator<double>(STEPS, POLY_4<double>, dt);
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auto pg = polyGenerator<double>(STEPS, POLY_4<double>, dt);
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// auto ct7 = generateCTester<double, 7>(std::get<0>(pg4), std::get<1>(pg4));
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auto ct7 = generateCTester<double, 7>(std::get<0>(pg), std::get<1>(pg));
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// auto ct9 = generateCTester<double, 9>(std::get<0>(pg4), std::get<1>(pg4));
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auto ct9 = generateCTester<double, 9>(std::get<0>(pg), std::get<1>(pg));
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// ct7.setFilterTimestep(dt);
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ct7.setFilterTimestep(dt);
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// ct9.setFilterTimestep(dt);
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ct9.setFilterTimestep(dt);
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// std::array<double, 5> eps = { 1e-12, 1e-4, 1e-12, 1e-4, 1e-12 }; // Value checked with MATLAB
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std::array<double, 5> eps = { 1e-12, 1e-4, 1e-12, 1e-4, 1e-12 }; // Value checked with MATLAB
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// ct7.run(eps);
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ct7.run(eps);
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// ct9.run(eps);
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ct9.run(eps);
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// }
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}
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// {
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{
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// auto pg7 = polyGenerator<double>(STEPS, POLY_7<double>, dt);
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auto pg = polyGenerator<double>(STEPS, POLY_7<double>, dt);
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// auto ct7 = generateCTester<double, 7>(std::get<0>(pg7), std::get<1>(pg7));
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auto ct7 = generateCTester<double, 7>(std::get<0>(pg), std::get<1>(pg));
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// auto ct9 = generateCTester<double, 9>(std::get<0>(pg7), std::get<1>(pg7));
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auto ct9 = generateCTester<double, 9>(std::get<0>(pg), std::get<1>(pg));
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// ct7.setFilterTimestep(dt);
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ct7.setFilterTimestep(dt);
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// ct9.setFilterTimestep(dt);
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ct9.setFilterTimestep(dt);
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// std::array<double, 5> eps = { 1e-11, 1e-3, 1e-9, 1e-4, 1e-9 }; // Value checked with MATLAB
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std::array<double, 5> eps = { 1e-11, 1e-3, 1e-9, 1e-4, 1e-9 }; // Value checked with MATLAB
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// ct7.run(eps);
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ct7.run(eps);
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// ct9.run(eps);
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ct9.run(eps);
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// }
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}
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// }
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}
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// TEST_CASE("2nd order sinus time-fixed center derivative", "[sin][center][2nd]")
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TEST_CASE("2nd order sinus time-fixed center derivative", "[sin][center][2nd]")
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// {
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{
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// double dt = 0.001;
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double dt = 0.001;
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// auto sg = sinGenerator<double>(STEPS, SIN_AMPLITUDE, SIN_FREQUENCY, dt);
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auto sg = sinGenerator<double>(STEPS, SIN_AMPLITUDE, SIN_FREQUENCY, dt);
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// auto ct7 = generateC2OTester<double, 7>(std::get<0>(sg), std::get<2>(sg));
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auto ct7 = generateC2OTester<double, 7>(std::get<0>(sg), std::get<2>(sg));
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// auto ct9 = generateC2OTester<double, 9>(std::get<0>(sg), std::get<2>(sg));
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auto ct9 = generateC2OTester<double, 9>(std::get<0>(sg), std::get<2>(sg));
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// auto ct11 = generateC2OTester<double, 11>(std::get<0>(sg), std::get<2>(sg));
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auto ct11 = generateC2OTester<double, 11>(std::get<0>(sg), std::get<2>(sg));
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// ct7.setFilterTimestep(dt);
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ct7.setFilterTimestep(dt);
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// ct9.setFilterTimestep(dt);
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ct9.setFilterTimestep(dt);
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// ct11.setFilterTimestep(dt);
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ct11.setFilterTimestep(dt);
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// std::array<double, 1> eps = { 2e-1 }; // Value checked with MATLAB
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std::array<double, 1> eps = { 2e-1 }; // Value checked with MATLAB
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// ct7.run(eps);
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ct7.run(eps);
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// ct9.run(eps);
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ct9.run(eps);
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// ct11.run(eps);
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ct11.run(eps);
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// }
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}
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TEST_CASE("Sinus time-varying central derivative", "[tv][sin][central][1st]")
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TEST_CASE("Sinus time-varying central derivative", "[tv][sin][central][1st]")
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{
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{
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auto ct7 = generateTVCTester<double, 7>(std::get<0>(sg), std::get<1>(sg), std::get<2>(sg));
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auto ct7 = generateTVCTester<double, 7>(std::get<0>(sg), std::get<1>(sg), std::get<2>(sg));
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auto ct9 = generateTVCTester<double, 9>(std::get<0>(sg), std::get<1>(sg), std::get<2>(sg));
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auto ct9 = generateTVCTester<double, 9>(std::get<0>(sg), std::get<1>(sg), std::get<2>(sg));
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std::array<double, 2> eps = { 1e-1, 1e-1 }; // Value checked with MATLAB
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std::array<double, 2> eps = { 1., 1. };
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ct7.run(eps);
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ct7.run(eps);
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ct9.run(eps);
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ct9.run(eps);
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}
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}
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TEST_CASE("Polynome time-varying central derivative", "[tv][poly][central][1st]")
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{
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double dt = 0.001;
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{
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auto pg = tvPolyGenerator<double>(STEPS, POLY_4<double>, dt);
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auto ct7 = generateTVCTester<double, 7>(std::get<0>(pg), std::get<1>(pg), std::get<2>(pg));
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auto ct9 = generateTVCTester<double, 9>(std::get<0>(pg), std::get<1>(pg), std::get<2>(pg));
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std::array<double, 2> eps = { 1e-3, 1e-3 };
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ct7.run(eps);
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ct9.run(eps);
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}
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{
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auto pg = tvPolyGenerator<double>(STEPS, POLY_4<double>, dt);
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auto ct7 = generateTVCTester<double, 7>(std::get<0>(pg), std::get<1>(pg), std::get<2>(pg));
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auto ct9 = generateTVCTester<double, 9>(std::get<0>(pg), std::get<1>(pg), std::get<2>(pg));
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std::array<double, 2> eps = { 1e-3, 1e-3 };
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ct7.run(eps);
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ct9.run(eps);
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}
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}
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// TEST_CASE("2nd order sinus time-varying center derivative", "[tv][sin][center][2nd]")
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// {
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// // Test not passing.
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// double dt = 0.001;
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// auto sg = tvSinGenerator<double>(STEPS, SIN_AMPLITUDE, SIN_FREQUENCY, dt);
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// auto ct7 = generateTVC2OTester<double, 7>(std::get<0>(sg), std::get<1>(sg), std::get<3>(sg));
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// auto ct9 = generateTVC2OTester<double, 9>(std::get<0>(sg), std::get<1>(sg), std::get<3>(sg));
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// auto ct11 = generateTVC2OTester<double, 11>(std::get<0>(sg), std::get<1>(sg), std::get<3>(sg));
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// std::array<double, 1> eps = { 2e-1 };
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// ct7.run(eps);
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// ct9.run(eps);
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// ct11.run(eps);
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// }
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@ -142,7 +142,7 @@ TVFunctionGenerator<T> tvSinGenerator(int nrSteps, T amplitude, T frequency, T m
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}
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}
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template <typename T, size_t N>
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template <typename T, size_t N>
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TVFunctionGenerator<T> tvPolyGenerator(int nrSteps, std::array<T, N> coeffs, T dt)
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TVFunctionGenerator<T> tvPolyGenerator(int nrSteps, std::array<T, N> coeffs, T meanDt)
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{
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{
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using namespace difi;
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using namespace difi;
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static_assert(N >= 2, "N must be superior to 20");
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static_assert(N >= 2, "N must be superior to 20");
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