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Kalman filter slightly refactored + clang_format
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@@ -1,92 +1,81 @@
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#include <vector>
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#include <iostream>
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#include <iomanip>
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#include <units/format.h>
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#include <units/physical/si/length.h>
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#include <units/physical/si/time.h>
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#include <units/physical/si/velocity.h>
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#include <iomanip>
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#include <iostream>
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#include <vector>
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/*
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kalman filter tutorial
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1d aircraft α-β filter example2 from https://www.kalmanfilter.net/alphabeta.html#ex2
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kalman filter tutorial
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1d aircraft α-β filter example2 from https://www.kalmanfilter.net/alphabeta.html#ex2
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*/
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using namespace units;
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using namespace units::si::literals;
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template <Quantity Q>
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struct state_variable{
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Q estimated_current_state;
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Q predicted_next_state;
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};
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namespace {
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constexpr auto radar_transmit_interval = 5.0q_s;
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constexpr double kalman_range_gain = 0.2;
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constexpr double kalman_speed_gain = 0.1;
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}
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struct state{
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using namespace units;
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state_variable<si::length<si::metre> > range;
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state_variable<si::velocity<si::metre_per_second> > speed;
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void estimate(const state & previous_state, const si::length<si::metre>& measurement)
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{
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auto const innovation = measurement - previous_state.range.predicted_next_state;
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range.estimated_current_state = previous_state.range.predicted_next_state + kalman_range_gain * innovation;
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speed.estimated_current_state = previous_state.speed.predicted_next_state + kalman_speed_gain * innovation / radar_transmit_interval;
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}
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void predict()
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{
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range.predicted_next_state = range.estimated_current_state + speed.estimated_current_state * radar_transmit_interval;
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speed.predicted_next_state = speed.estimated_current_state;
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}
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template<Quantity Q>
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struct state_variable {
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Q estimated_current_state;
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Q predicted_next_state;
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};
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using namespace units::si;
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constexpr auto radar_transmit_interval = 5.0q_s;
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constexpr double kalman_range_gain = 0.2;
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constexpr double kalman_speed_gain = 0.1;
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struct state {
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state_variable<length<metre>> range;
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state_variable<velocity<metre_per_second>> speed;
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constexpr void estimate(const state& previous_state, const length<metre>& measurement)
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{
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auto const innovation = measurement - previous_state.range.predicted_next_state;
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range.estimated_current_state = previous_state.range.predicted_next_state + kalman_range_gain * innovation;
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speed.estimated_current_state =
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previous_state.speed.predicted_next_state + kalman_speed_gain * innovation / radar_transmit_interval;
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}
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constexpr void predict()
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{
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range.predicted_next_state =
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range.estimated_current_state + speed.estimated_current_state * radar_transmit_interval;
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speed.predicted_next_state = speed.estimated_current_state;
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}
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};
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} // namespace
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int main()
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{
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std::cout << "\n\n1d aircraft α-β filter example2 from https://www.kalmanfilter.net/alphabeta.html#ex2";
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std::cout << "\n\n";
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std::cout << "\n\n1d aircraft α-β filter example2 from https://www.kalmanfilter.net/alphabeta.html#ex2";
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std::cout << "\n\n";
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std::vector<si::length<si::metre> > measurements {
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0.0q_m, // N.B measurement[0] is unknown and unused
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30110.0q_m,
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30265.0q_m,
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30740.0q_m,
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30750.0q_m,
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31135.0q_m,
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31015.0q_m,
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31180.0q_m,
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31610.0q_m,
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31960.0q_m,
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31865.0q_m
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};
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std::vector<length<metre>> measurements{0.0q_m, // N.B measurement[0] is unknown and unused
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30110.0q_m, 30265.0q_m, 30740.0q_m, 30750.0q_m, 31135.0q_m,
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31015.0q_m, 31180.0q_m, 31610.0q_m, 31960.0q_m, 31865.0q_m};
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const auto num_measurements = measurements.size();
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const auto num_measurements = measurements.size();
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std::vector<state> track{num_measurements};
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std::vector<state> track(num_measurements);
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//We need an initial estimate of track[0] as there is no previous state to get a prediction from
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track[0].range.estimated_current_state = 30'000q_m;
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track[0].speed.estimated_current_state = 40.0q_mps;
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for ( auto n = 0U; n < num_measurements;++n){
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// We need an initial estimate of track[0] as there is no previous state to get a prediction from
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track[0].range.estimated_current_state = 30'000q_m;
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track[0].speed.estimated_current_state = 40.0q_mps;
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if ( n > 0){
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track[n].estimate(track[n-1],measurements[n]);
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}
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track[n].predict();
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std::cout << std::fixed;
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std::cout << "measurement[" << n << "] = " << std::setprecision(0) << measurements[n] <<'\n';
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std::cout << "range.estimated_current_state[" << n << "] = " << std::setprecision(1) << track[n].range.estimated_current_state<<'\n';
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std::cout << "speed.estimated_current_state[" << n << "] = " << track[n].speed.estimated_current_state <<'\n';
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std::cout << "range.predicted_next_state[" << n << "] = " << track[n].range.predicted_next_state << '\n';
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std::cout << "speed.predicted_next_state[" << n << "] = " << track[n].speed.predicted_next_state << "\n\n";
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}
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for (auto n = 0U; n < num_measurements; ++n) {
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if (n > 0) {
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track[n].estimate(track[n - 1], measurements[n]);
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}
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track[n].predict();
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std::cout << fmt::format("measurement[{}] = {:.0}\n", n, measurements[n]);
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std::cout << fmt::format("range.estimated_current_state[{}] = {:.1}\n", n, track[n].range.estimated_current_state);
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std::cout << fmt::format("speed.estimated_current_state[{}] = {:.1}\n", n, track[n].speed.estimated_current_state);
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std::cout << fmt::format("range.predicted_next_state[{}] = {:.1}\n", n, track[n].range.predicted_next_state);
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std::cout << fmt::format("speed.predicted_next_state[{}] = {:.1}\n\n", n, track[n].speed.predicted_next_state);
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}
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}
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