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purpl3F0x/CMakeLists.txt

Last active May 10, 2020 12:15
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arange.h
#pragma once
#include <algorithm>
#include <vector>
#include <numeric>
template<typename T>
std::vector<T> arange(const T start, const T stop) {
std::vector<T> out(stop - start);
std::iota(out.begin(), out.end(), start);
return out;
}
template<typename T>
std::vector<T> arange(const T start, const T stop, const T step) {
std::vector<T> out((stop - start) / step);
std::size_t i = 0;
for (T value = start; value < stop; value += step)
out[i++] = (value);
return out;
}
Raw
CMakeLists.txt
project(pace_calculator)
cmake_minimum_required(VERSION 3.10)
#SET(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} -O3 -march=native -Wall")
# external libraries
file(GLOB_RECURSE pugixml_sources ${CMAKE_SOURCE_DIR}/external/pugixml-1.10/src/*.cpp)
add_library(pugixml STATIC ${pugixml_sources})
include_directories(include)
file(GLOB SOURCES src/*.cc)
#file(GLOB HEADERS include/*.h)
add_executable(pace_calculator ${SOURCES} ${CMAKE_SOURCE_DIR}/include/pace_calculator.h ${pugixml_sources} main.cpp)
target_include_directories(pace_calculator PRIVATE "${CMAKE_SOURCE_DIR}/include")
Raw
elevation_adj.h
#pragma once
#include <cmath>
#include <vector>
#include <algorithm>
inline std::vector<double> gradientEffort(const std::vector<double> &elevation) {
std::vector<double> out(elevation.size());
std::transform(elevation.begin(), elevation.end(), out.begin(),
[](const auto &m) {
return 0.1707 + 0.5656 * m + 3.2209 * m * m -
0.32118 * m * m * m - 4.3635 * m * m * m * m;
});
return out;
}
inline std::vector<uint32_t> adjusted_pace(const std::vector<double> &data, const unsigned duration, const double avg_pace) {
std::vector<uint32_t> out(data.size());
auto effort = gradientEffort(data);
const double mult_ = avg_pace / 0.1707;
// const auto k = 4.446 * 1e-5;
std::transform(
effort.begin(), effort.end(), out.begin(),
// [&k, &duration](const auto &x) { return x * (1 + k * duration); });
[&mult_](const auto &x) { return (uint32_t) std::rint(x * mult_); });
return out;
};
Raw
gradient.h
#pragma once
#include <vector>
#include <algorithm>
template<typename T, typename R = double>
std::vector<R> gradient(const std::vector<T> &y) {
std::vector<R> out(y.size());
switch (y.size()) {
case 0:
case 1:
return out;
case 2:
out[0] = out[1] - out[0];
break;
default:
out[0] = y[1] - y[0];
out[y.size() - 1] = y[y.size() - 1] - y[y.size() - 2];
}
// TODO: use transform
for (auto i = 1u; i < y.size() - 1; i++)
out[i] = 0.5 * (y[i + 1] - y[i - 1]);
return out;
}
Raw
interpolate.h
#pragma once
#include <algorithm>
#include <cmath>
#include <type_traits>
#include <vector>
#if (__cplusplus < 202002L)
template<typename T, typename = std::enable_if_t<std::is_floating_point<T>::value>>
T lerp(T a, T b, T t) noexcept {
return a + t * (b - a);
}
#else
using std::lerp;
#endif
template<typename T, typename = std::enable_if_t<std::is_floating_point<T>::value>>
class ListLerp {
public:
explicit ListLerp(const std::vector<T> &xp, const std::vector<T> &yp) : xp(xp), yp(yp) {
b = this->xp.begin() + 1;
}
T interp(const T x) noexcept {
// No extrapolation
if (x <= xp.front()) return yp.front();
if (x >= xp.back()) return yp.back();
// find b positions
while (x > *b) b++;
// Calculate a, a_y, b_y
const auto a = b - 1;
const auto a_y = yp.begin() + (a - xp.begin());
const auto b_y = yp.begin() + (b - xp.begin());
const auto t = (x - *a) / (*b - *a);
return lerp(*a_y, *b_y, t);
};
private:
typename std::vector<T>::const_iterator b;
const std::vector<T> &xp;
const std::vector<T> &yp;
};
template<typename T>
std::vector<T> interp(const std::vector<T> &xp, const std::vector<T> &yp, const std::vector<T> &x) {
std::vector<T> out(x.size());
auto lLerp = ListLerp<T>(xp, yp);
std::transform(x.begin(), x.end(), out.begin(),
[&lLerp](const auto &xi) {
return lLerp.interp(xi);
}
);
return out;
}
Raw
linspace.h
#pragma once
#include <vector>
/**
* @brief Return evenly spaced numbers over a specified interval. Assumes num_in > 2, And start < end
* @tparam T
* @param start_in The starting value of the sequence.
* @param end_in The end value of the sequence.
* @param num_in Number of samples to generate
* @return
*/
template<typename T>
std::vector<double> linspace(const double start, const double end, const std::size_t num_in) {
std::vector<double> out(num_in);
const auto num = static_cast<double>(num_in);
const auto delta = static_cast<double>((end - start) / (num - 1));
for (std::size_t i = 0; i < num - 1; ++i)
out[i] = (start + delta * i);
out.back() = end;
return out;
}
Raw
main.cpp
#include <iostream>
#include "pace_calculator.h"
#include <fstream>
#include <chrono>
int main() {
std::ifstream ifs("test.tcx");
std::string content((std::istreambuf_iterator<char>(ifs)),
(std::istreambuf_iterator<char>()));
std::chrono::steady_clock::time_point begin = std::chrono::steady_clock::now();
auto a = analyse(content, 10800);
std::chrono::steady_clock::time_point end = std::chrono::steady_clock::now();
std::cout << "Time difference = " << std::chrono::duration_cast<std::chrono::milliseconds>(end - begin).count() << "[ms]"
<< std::endl;
return 0;
}
Raw
pace_calculator.h
#pragma once
#include <vector>
#include <string>
std::vector<uint32_t> analyse(const std::string &s, unsigned target_time);
Raw
pace_calculator_js.cc
#include <string>
#include "arange.h"
#include "elevation_adj.h"
#include "gradient.h"
#include "interpolate.h"
#include "linspace.h"
#include "smooth.h"
#include "tcx.h"
#include <chrono>
# ifdef __EMSCRIPTEN__
#include <emscripten/bind.h>
# endif //__EMSCRIPTEN__
struct Result {
# ifdef __EMSCRIPTEN__
emscripten::val pace = emscripten::val::null(); // Uint32Array (to be :D )
emscripten::val elevation = emscripten::val::null(); // Float64Array
emscripten::val elevationSmoothed = emscripten::val::null(); // Float64Array
emscripten::val gradient = emscripten::val::null(); // Float64Array
# endif //__EMSCRIPTEN__
std::vector<uint32_t> pace_v;
std::vector<double> elevation_v;
std::vector<double> elevationSmoothed_v;
std::vector<double> gradient_v;
unsigned avg_pace = 0;
unsigned distance = 0;
};
Result analyse(const std::string &s, const unsigned target_time) {
Result out;
const auto tcx = parseString2TCX(s);
if (tcx.size() < 2) return out;
auto arranged = arange<double>(tcx.DistanceMeters.front(), tcx.DistanceMeters.back());
out.elevation_v = interp(tcx.DistanceMeters, tcx.AltitudeMeters, arranged);
out.elevationSmoothed_v = smoothElevationData(out.elevation_v, linspace<std::size_t>(
0, out.elevation_v.size(), out.elevation_v.size()), 2500);
out.gradient_v = gradient(out.elevationSmoothed_v);
out.pace_v = adjusted_pace(out.gradient_v, target_time, (target_time / tcx.DistanceMeters.back() * 1000));
# ifdef __EMSCRIPTEN__
out.elevation = emscripten::val(emscripten::typed_memory_view(out.elevation_v.size(), out.elevation_v.data()));
out.elevationSmoothed =
emscripten::val(emscripten::typed_memory_view(out.elevationSmoothed_v.size(), out.elevationSmoothed_v.data()));
out.gradient = emscripten::val(emscripten::typed_memory_view(out.gradient_v.size(), out.gradient_v.data()));
out.pace = emscripten::val(emscripten::typed_memory_view(out.pace_v.size(), out.pace_v.data()));
# endif //__EMSCRIPTEN__
// must check with real average
out.avg_pace = unsigned(target_time / tcx.DistanceMeters.back() * 1000.);
return out;
}
# ifdef __EMSCRIPTEN__
EMSCRIPTEN_BINDINGS(pace_calculator_js) {
function("analyse", &analyse, emscripten::allow_raw_pointers());
emscripten::class_<Result>("Result")
.constructor<>()
.property("pace", &Result::pace)
.property("elevation", &Result::elevation)
.property("elevationSmoothed", &Result::elevationSmoothed)
.property("gradient", &Result::gradient)
.property("avg_pace", &Result::avg_pace)
.property("distance", &Result::distance);
}
# endif //__EMSCRIPTEN__
Raw
smooth.h
#pragma once
#include <algorithm>
#include <vector>
std::vector<double> highPassSmoothing(const std::vector<double> &x, const std::vector<double> &y, const double tao) {
std::vector<double> smoothForward(x.size(), 0);
std::vector<double> smoothBack(x.size(), 0);
const auto size = x.size();
std::vector<double> out = std::vector<double>(y);
smoothForward[0] = y[0];
smoothBack[size - 1] = y[size - 1];
double dfTime = 0.0;
for (auto i = 1u; i < size; i++) {
dfTime = (x[i] - x[i - 1]) / tao;
smoothForward[i] = (smoothForward[i - 1] + dfTime * y[i]) / (1 + dfTime);
}
for (auto i = 2u; i < size + 1; i++) {
dfTime = (x[size - i + 1] - x[size - i]) / tao;
smoothBack[size - i] =
(smoothBack[size - i + 1] + dfTime * y[size - i]) / (1 + dfTime);
}
std::transform(smoothForward.begin() + 1, smoothForward.end(),
smoothBack.begin() + 1, out.begin() + 1,
[](const double &a, const double &b) {
return (a + b) / 2;
}
);
out[0] = out[1];
return out;
}
std::vector<double> smoothElevationData(const std::vector<double> &elevation, const std::vector<double> &distance, const double coeff) {
const auto averageDistBetween = distance.back() / distance.size();
const auto tao = coeff * averageDistBetween;
return highPassSmoothing(distance, elevation, tao);
}
Raw
tcx.h
#pragma once
#include <cstdlib>
#include <vector>
#include <string>
#include "pugixml.hpp"
struct TCX {
std::vector<double> LatitudeDegrees;
std::vector<double> LongitudeDegrees;
std::vector<double> AltitudeMeters;
std::vector<double> DistanceMeters;
void push_back(const double latitude, const double longitude, const double alt, const double dist) {
LatitudeDegrees.push_back(latitude);
LongitudeDegrees.push_back(longitude);
AltitudeMeters.push_back(alt);
DistanceMeters.push_back(dist);
}
std::size_t size() const { return DistanceMeters.size(); }
};
TCX parseString2TCX(const std::string &s) {
pugi::xml_document doc;
pugi::xml_parse_result result = doc.load_string(s.c_str());
TCX out;
if (!result)
return out;
pugi::xpath_node_set trackpoints = doc.select_nodes("TrainingCenterDatabase/Courses/Course/Track/Trackpoint");
for (pugi::xpath_node node: trackpoints) {
pugi::xml_node trackpoint = node.node();
out.push_back(
std::atof(trackpoint.child("Position").child_value("LatitudeDegrees")),
std::atof(trackpoint.child("Position").child_value("LongitudeDegrees")),
std::atof(trackpoint.child_value("AltitudeMeters")),
std::atof(trackpoint.child_value("DistanceMeters"))
);
}
return out;
}
Raw
test.tcx
<?xml version="1.0" encoding="UTF-8"?>
<TrainingCenterDatabase xsi:schemaLocation="http://www.garmin.com/xmlschemas/TrainingCenterDatabase/v2 http://www.garmin.com/xmlschemas/TrainingCenterDatabasev2.xsd" xmlns:ns5="http://www.garmin.com/xmlschemas/ActivityGoals/v1" xmlns:ns3="http://www.garmin.com/xmlschemas/ActivityExtension/v2" xmlns:ns2="http://www.garmin.com/xmlschemas/UserProfile/v2" xmlns="http://www.garmin.com/xmlschemas/TrainingCenterDatabase/v2" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
<Folders/>
<Courses>
<Course>
<Name>Alexander the G</Name>
<Lap>
<TotalTimeSeconds>16312.365965183253</TotalTimeSeconds>
<DistanceMeters>42255.923996187776</DistanceMeters>
<Intensity>Active</Intensity>
</Lap>
<Track>
<Trackpoint>
<Time>2020-04-25T09:53:41+00:00</Time>
<Position>
<LatitudeDegrees>40.7599500</LatitudeDegrees>
<LongitudeDegrees>22.5264600</LongitudeDegrees>
</Position>
<AltitudeMeters>51.7</AltitudeMeters>
<DistanceMeters>0.0</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:54:09+00:00</Time>
<Position>
<LatitudeDegrees>40.7598800</LatitudeDegrees>
<LongitudeDegrees>22.5256500</LongitudeDegrees>
</Position>
<AltitudeMeters>49.49</AltitudeMeters>
<DistanceMeters>68.72691447287724</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:54:38+00:00</Time>
<Position>
<LatitudeDegrees>40.7595300</LatitudeDegrees>
<LongitudeDegrees>22.5249000</LongitudeDegrees>
</Position>
<AltitudeMeters>47.27</AltitudeMeters>
<DistanceMeters>142.98947892595672</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:55:07+00:00</Time>
<Position>
<LatitudeDegrees>40.7591800</LatitudeDegrees>
<LongitudeDegrees>22.5241500</LongitudeDegrees>
</Position>
<AltitudeMeters>43.300000000000004</AltitudeMeters>
<DistanceMeters>217.25204937294953</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:55:36+00:00</Time>
<Position>
<LatitudeDegrees>40.7590600</LatitudeDegrees>
<LongitudeDegrees>22.5239500</LongitudeDegrees>
</Position>
<AltitudeMeters>42.35</AltitudeMeters>
<DistanceMeters>238.7611858272885</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:56:05+00:00</Time>
<Position>
<LatitudeDegrees>40.7589600</LatitudeDegrees>
<LongitudeDegrees>22.5238100</LongitudeDegrees>
</Position>
<AltitudeMeters>41.910000000000004</AltitudeMeters>
<DistanceMeters>254.98345555209832</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:56:34+00:00</Time>
<Position>
<LatitudeDegrees>40.7587600</LatitudeDegrees>
<LongitudeDegrees>22.5236200</LongitudeDegrees>
</Position>
<AltitudeMeters>40.63</AltitudeMeters>
<DistanceMeters>282.4065932326809</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:57:03+00:00</Time>
<Position>
<LatitudeDegrees>40.7582400</LatitudeDegrees>
<LongitudeDegrees>22.5231550</LongitudeDegrees>
</Position>
<AltitudeMeters>38.52</AltitudeMeters>
<DistanceMeters>352.3071902156873</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:57:32+00:00</Time>
<Position>
<LatitudeDegrees>40.7577200</LatitudeDegrees>
<LongitudeDegrees>22.5226900</LongitudeDegrees>
</Position>
<AltitudeMeters>36.46000000000001</AltitudeMeters>
<DistanceMeters>422.20775196160776</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:58:01+00:00</Time>
<Position>
<LatitudeDegrees>40.7570550</LatitudeDegrees>
<LongitudeDegrees>22.5220950</LongitudeDegrees>
</Position>
<AltitudeMeters>33.43</AltitudeMeters>
<DistanceMeters>511.616248366873</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:58:30+00:00</Time>
<Position>
<LatitudeDegrees>40.7563900</LatitudeDegrees>
<LongitudeDegrees>22.5215000</LongitudeDegrees>
</Position>
<AltitudeMeters>30.17</AltitudeMeters>
<DistanceMeters>601.0247574369489</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:58:59+00:00</Time>
<Position>
<LatitudeDegrees>40.7559200</LatitudeDegrees>
<LongitudeDegrees>22.5210500</LongitudeDegrees>
</Position>
<AltitudeMeters>29.19</AltitudeMeters>
<DistanceMeters>665.6428207351639</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:59:28+00:00</Time>
<Position>
<LatitudeDegrees>40.7551900</LatitudeDegrees>
<LongitudeDegrees>22.5204000</LongitudeDegrees>
</Position>
<AltitudeMeters>26.38</AltitudeMeters>
<DistanceMeters>763.6424152401745</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T09:59:56+00:00</Time>
<Position>
<LatitudeDegrees>40.7544600</LatitudeDegrees>
<LongitudeDegrees>22.5197500</LongitudeDegrees>
</Position>
<AltitudeMeters>22.45</AltitudeMeters>
<DistanceMeters>861.6420097432112</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:00:25+00:00</Time>
<Position>
<LatitudeDegrees>40.7537300</LatitudeDegrees>
<LongitudeDegrees>22.5191000</LongitudeDegrees>
</Position>
<AltitudeMeters>18.930000000000003</AltitudeMeters>
<DistanceMeters>959.6416008542326</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:00:54+00:00</Time>
<Position>
<LatitudeDegrees>40.7536800</LatitudeDegrees>
<LongitudeDegrees>22.5190700</LongitudeDegrees>
</Position>
<AltitudeMeters>18.81</AltitudeMeters>
<DistanceMeters>965.7542131565292</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:01:23+00:00</Time>
<Position>
<LatitudeDegrees>40.7536200</LatitudeDegrees>
<LongitudeDegrees>22.5190800</LongitudeDegrees>
</Position>
<AltitudeMeters>18.63</AltitudeMeters>
<DistanceMeters>972.4849652587122</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:01:52+00:00</Time>
<Position>
<LatitudeDegrees>40.7533200</LatitudeDegrees>
<LongitudeDegrees>22.5198700</LongitudeDegrees>
</Position>
<AltitudeMeters>18.500000000000004</AltitudeMeters>
<DistanceMeters>1046.9896335556687</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:02:21+00:00</Time>
<Position>
<LatitudeDegrees>40.7529500</LatitudeDegrees>
<LongitudeDegrees>22.5207100</LongitudeDegrees>
</Position>
<AltitudeMeters>18.55</AltitudeMeters>
<DistanceMeters>1128.911795148144</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:02:50+00:00</Time>
<Position>
<LatitudeDegrees>40.7525767</LatitudeDegrees>
<LongitudeDegrees>22.5216367</LongitudeDegrees>
</Position>
<AltitudeMeters>18.19</AltitudeMeters>
<DistanceMeters>1217.401355235346</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:03:19+00:00</Time>
<Position>
<LatitudeDegrees>40.7522033</LatitudeDegrees>
<LongitudeDegrees>22.5225633</LongitudeDegrees>
</Position>
<AltitudeMeters>17.310000000000002</AltitudeMeters>
<DistanceMeters>1305.8909153228417</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:03:48+00:00</Time>
<Position>
<LatitudeDegrees>40.7518300</LatitudeDegrees>
<LongitudeDegrees>22.5234900</LongitudeDegrees>
</Position>
<AltitudeMeters>17.14</AltitudeMeters>
<DistanceMeters>1394.3804846804278</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:04:17+00:00</Time>
<Position>
<LatitudeDegrees>40.7516200</LatitudeDegrees>
<LongitudeDegrees>22.5240900</LongitudeDegrees>
</Position>
<AltitudeMeters>17.11</AltitudeMeters>
<DistanceMeters>1450.105618381294</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:04:46+00:00</Time>
<Position>
<LatitudeDegrees>40.7513500</LatitudeDegrees>
<LongitudeDegrees>22.5247400</LongitudeDegrees>
</Position>
<AltitudeMeters>17.560000000000002</AltitudeMeters>
<DistanceMeters>1512.60633726316</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:05:15+00:00</Time>
<Position>
<LatitudeDegrees>40.7510800</LatitudeDegrees>
<LongitudeDegrees>22.5253900</LongitudeDegrees>
</Position>
<AltitudeMeters>17.48</AltitudeMeters>
<DistanceMeters>1575.1070459992532</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:05:44+00:00</Time>
<Position>
<LatitudeDegrees>40.7507667</LatitudeDegrees>
<LongitudeDegrees>22.5263833</LongitudeDegrees>
</Position>
<AltitudeMeters>16.48</AltitudeMeters>
<DistanceMeters>1665.8280850925012</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:06:12+00:00</Time>
<Position>
<LatitudeDegrees>40.7504533</LatitudeDegrees>
<LongitudeDegrees>22.5273767</LongitudeDegrees>
</Position>
<AltitudeMeters>16.200000000000003</AltitudeMeters>
<DistanceMeters>1756.5491241856325</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:06:41+00:00</Time>
<Position>
<LatitudeDegrees>40.7501400</LatitudeDegrees>
<LongitudeDegrees>22.5283700</LongitudeDegrees>
</Position>
<AltitudeMeters>16.3</AltitudeMeters>
<DistanceMeters>1847.2701531405094</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:07:10+00:00</Time>
<Position>
<LatitudeDegrees>40.7498300</LatitudeDegrees>
<LongitudeDegrees>22.5283900</LongitudeDegrees>
</Position>
<AltitudeMeters>16.03</AltitudeMeters>
<DistanceMeters>1881.8129976661958</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:07:39+00:00</Time>
<Position>
<LatitudeDegrees>40.7490200</LatitudeDegrees>
<LongitudeDegrees>22.5283600</LongitudeDegrees>
</Position>
<AltitudeMeters>13.450000000000001</AltitudeMeters>
<DistanceMeters>1971.9979767091206</DistanceMeters>
</Trackpoint>
<Trackpoint>
<Time>2020-04-25T10:08:08+00:00</Time>
<Position>
<LatitudeDegrees>40.7489300</LatitudeDegrees>
<LongitudeDegrees>22.5284100</LongitudeDegrees>
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